id	sid	tid	token	lemma	pos
ijassa-1481	1	1	adv	adv	PROPN
ijassa-1481	1	2	syst	syst	PROPN
ijassa-1481	1	3	sci	sci	PROPN
ijassa-1481	1	4	appl	appl	PROPN
ijassa-1481	1	5	2024	2024	NUM
ijassa-1481	1	6	;	;	PUNCT
ijassa-1481	1	7	02:166–186	02:166–186	PROPN
ijassa-1481	1	8	published	publish	VERB
ijassa-1481	1	9	online	online	ADV
ijassa-1481	1	10	at	at	ADP
ijassa-1481	1	11	https://ijassa.ipu.ru	https://ijassa.ipu.ru	ADJ
ijassa-1481	1	12	.	.	PUNCT
ijassa-1481	2	1	data	datum	NOUN
ijassa-1481	2	2	storage	storage	NOUN
ijassa-1481	2	3	with	with	ADP
ijassa-1481	2	4	increased	increase	VERB
ijassa-1481	2	5	survivability	survivability	NOUN
ijassa-1481	2	6	and	and	CCONJ
ijassa-1481	2	7	reliability	reliability	NOUN
ijassa-1481	2	8	based	base	VERB
ijassa-1481	2	9	on	on	ADP
ijassa-1481	2	10	the	the	DET
ijassa-1481	2	11	residue	residue	NOUN
ijassa-1481	2	12	number	number	NOUN
ijassa-1481	2	13	system	system	NOUN
ijassa-1481	2	14	nikolay	nikolay	NOUN
ijassa-1481	2	15	kucherov1	kucherov1	PROPN
ijassa-1481	2	16	*	*	SYM
ijassa-1481	2	17	,	,	PUNCT
ijassa-1481	2	18	mikhail	mikhail	PROPN
ijassa-1481	2	19	babenko1	babenko1	PROPN
ijassa-1481	2	20	,	,	PUNCT
ijassa-1481	2	21	egor	egor	PROPN
ijassa-1481	2	22	shiriaev1	shiriaev1	PROPN
ijassa-1481	2	23	,	,	PUNCT
ijassa-1481	2	24	nguyen	nguyen	PROPN
ijassa-1481	2	25	viet	viet	PROPN
ijassa-1481	2	26	hung2	hung2	PROPN
ijassa-1481	3	1	1north	1north	NUM
ijassa-1481	3	2	-	-	PUNCT
ijassa-1481	3	3	caucasus	caucasus	PROPN
ijassa-1481	3	4	federal	federal	PROPN
ijassa-1481	3	5	university	university	PROPN
ijassa-1481	3	6	,	,	PUNCT
ijassa-1481	3	7	stavropol	stavropol	NOUN
ijassa-1481	3	8	,	,	PUNCT
ijassa-1481	3	9	russia	russia	PROPN
ijassa-1481	3	10	2le	2le	PROPN
ijassa-1481	3	11	quy	quy	PROPN
ijassa-1481	3	12	don	don	PROPN
ijassa-1481	3	13	technical	technical	PROPN
ijassa-1481	3	14	university	university	PROPN
ijassa-1481	3	15	,	,	PUNCT
ijassa-1481	3	16	hanoi	hanoi	PROPN
ijassa-1481	3	17	,	,	PUNCT
ijassa-1481	3	18	vietnam	vietnam	PROPN
ijassa-1481	3	19	abstract	abstract	NOUN
ijassa-1481	3	20	:	:	PUNCT
ijassa-1481	3	21	the	the	DET
ijassa-1481	3	22	paper	paper	NOUN
ijassa-1481	3	23	considers	consider	VERB
ijassa-1481	3	24	the	the	DET
ijassa-1481	3	25	principles	principle	NOUN
ijassa-1481	3	26	of	of	ADP
ijassa-1481	3	27	building	build	VERB
ijassa-1481	3	28	reliable	reliable	ADJ
ijassa-1481	3	29	data	datum	NOUN
ijassa-1481	3	30	storage	storage	NOUN
ijassa-1481	3	31	and	and	CCONJ
ijassa-1481	3	32	processing	processing	NOUN
ijassa-1481	3	33	systems	system	NOUN
ijassa-1481	3	34	in	in	ADP
ijassa-1481	3	35	cloud	cloud	NOUN
ijassa-1481	3	36	-	-	PUNCT
ijassa-1481	3	37	fog	fog	NOUN
ijassa-1481	3	38	environment	environment	NOUN
ijassa-1481	3	39	.	.	PUNCT
ijassa-1481	4	1	the	the	DET
ijassa-1481	4	2	factors	factor	NOUN
ijassa-1481	4	3	affecting	affect	VERB
ijassa-1481	4	4	the	the	DET
ijassa-1481	4	5	reliability	reliability	NOUN
ijassa-1481	4	6	and	and	CCONJ
ijassa-1481	4	7	survivability	survivability	NOUN
ijassa-1481	4	8	of	of	ADP
ijassa-1481	4	9	systems	system	NOUN
ijassa-1481	4	10	are	be	AUX
ijassa-1481	4	11	an	an	DET
ijassa-1481	4	12	-	-	PUNCT
ijassa-1481	4	13	alyzed	alyze	VERB
ijassa-1481	4	14	and	and	CCONJ
ijassa-1481	4	15	the	the	DET
ijassa-1481	4	16	main	main	ADJ
ijassa-1481	4	17	types	type	NOUN
ijassa-1481	4	18	of	of	ADP
ijassa-1481	4	19	failures	failure	NOUN
ijassa-1481	4	20	are	be	AUX
ijassa-1481	4	21	given	give	VERB
ijassa-1481	4	22	.	.	PUNCT
ijassa-1481	5	1	the	the	DET
ijassa-1481	5	2	principles	principle	NOUN
ijassa-1481	5	3	of	of	ADP
ijassa-1481	5	4	introducing	introduce	VERB
ijassa-1481	5	5	information	information	NOUN
ijassa-1481	5	6	re	re	NOUN
ijassa-1481	5	7	-	-	NOUN
ijassa-1481	5	8	dundancy	dundancy	NOUN
ijassa-1481	5	9	to	to	PART
ijassa-1481	5	10	improve	improve	VERB
ijassa-1481	5	11	reliability	reliability	NOUN
ijassa-1481	5	12	,	,	PUNCT
ijassa-1481	5	13	as	as	ADV
ijassa-1481	5	14	well	well	ADV
ijassa-1481	5	15	as	as	ADP
ijassa-1481	5	16	corrective	corrective	ADJ
ijassa-1481	5	17	capabilities	capability	NOUN
ijassa-1481	5	18	and	and	CCONJ
ijassa-1481	5	19	error	error	NOUN
ijassa-1481	5	20	detection	detection	NOUN
ijassa-1481	5	21	algorithms	algorithm	NOUN
ijassa-1481	5	22	of	of	ADP
ijassa-1481	5	23	rns	rn	NOUN
ijassa-1481	5	24	codes	code	NOUN
ijassa-1481	5	25	are	be	AUX
ijassa-1481	5	26	considered	consider	VERB
ijassa-1481	5	27	.	.	PUNCT
ijassa-1481	6	1	a	a	DET
ijassa-1481	6	2	scheme	scheme	NOUN
ijassa-1481	6	3	of	of	ADP
ijassa-1481	6	4	data	datum	NOUN
ijassa-1481	6	5	processing	processing	NOUN
ijassa-1481	6	6	and	and	CCONJ
ijassa-1481	6	7	storage	storage	NOUN
ijassa-1481	6	8	in	in	ADP
ijassa-1481	6	9	fog	fog	NOUN
ijassa-1481	6	10	with	with	ADP
ijassa-1481	6	11	increased	increase	VERB
ijassa-1481	6	12	re	re	NOUN
ijassa-1481	6	13	-	-	NOUN
ijassa-1481	6	14	liability	liability	NOUN
ijassa-1481	6	15	is	be	AUX
ijassa-1481	6	16	proposed	propose	VERB
ijassa-1481	6	17	.	.	PUNCT
ijassa-1481	7	1	monte	monte	PROPN
ijassa-1481	7	2	carlo	carlo	PROPN
ijassa-1481	7	3	modeling	modeling	NOUN
ijassa-1481	7	4	is	be	AUX
ijassa-1481	7	5	carried	carry	VERB
ijassa-1481	7	6	out	out	ADP
ijassa-1481	7	7	,	,	PUNCT
ijassa-1481	7	8	and	and	CCONJ
ijassa-1481	7	9	the	the	DET
ijassa-1481	7	10	results	result	NOUN
ijassa-1481	7	11	and	and	CCONJ
ijassa-1481	7	12	conclusions	conclusion	NOUN
ijassa-1481	7	13	are	be	AUX
ijassa-1481	7	14	given	give	VERB
ijassa-1481	7	15	,	,	PUNCT
ijassa-1481	7	16	the	the	DET
ijassa-1481	7	17	probability	probability	NOUN
ijassa-1481	7	18	distribution	distribution	NOUN
ijassa-1481	7	19	of	of	ADP
ijassa-1481	7	20	failure	failure	NOUN
ijassa-1481	7	21	occurrence	occurrence	NOUN
ijassa-1481	7	22	is	be	AUX
ijassa-1481	7	23	constructed	construct	VERB
ijassa-1481	7	24	,	,	PUNCT
ijassa-1481	7	25	showing	show	VERB
ijassa-1481	7	26	that	that	SCONJ
ijassa-1481	7	27	failure	failure	NOUN
ijassa-1481	7	28	probabilities	probability	NOUN
ijassa-1481	7	29	obey	obey	VERB
ijassa-1481	7	30	the	the	DET
ijassa-1481	7	31	gamma	gamma	NOUN
ijassa-1481	7	32	probability	probability	NOUN
ijassa-1481	7	33	distribution	distribution	NOUN
ijassa-1481	7	34	.	.	PUNCT
ijassa-1481	8	1	keywords	keyword	NOUN
ijassa-1481	8	2	:	:	PUNCT
ijassa-1481	8	3	fog	fog	ADJ
ijassa-1481	8	4	-	-	PUNCT
ijassa-1481	8	5	cloud	cloud	NOUN
ijassa-1481	8	6	computing	computing	NOUN
ijassa-1481	8	7	,	,	PUNCT
ijassa-1481	8	8	residue	residue	NOUN
ijassa-1481	8	9	number	number	NOUN
ijassa-1481	8	10	system	system	NOUN
ijassa-1481	8	11	,	,	PUNCT
ijassa-1481	8	12	error	error	NOUN
ijassa-1481	8	13	correction	correction	NOUN
ijassa-1481	8	14	,	,	PUNCT
ijassa-1481	8	15	reliability	reliability	NOUN
ijassa-1481	8	16	,	,	PUNCT
ijassa-1481	8	17	fault	fault	VERB
ijassa-1481	8	18	tolerance	tolerance	NOUN
ijassa-1481	8	19	1	1	NUM
ijassa-1481	8	20	.	.	PUNCT
ijassa-1481	9	1	introduction	introduction	NOUN
ijassa-1481	9	2	as	as	ADP
ijassa-1481	9	3	the	the	DET
ijassa-1481	9	4	volume	volume	NOUN
ijassa-1481	9	5	of	of	ADP
ijassa-1481	9	6	stored	store	VERB
ijassa-1481	9	7	data	datum	NOUN
ijassa-1481	9	8	continues	continue	VERB
ijassa-1481	9	9	to	to	PART
ijassa-1481	9	10	grow	grow	VERB
ijassa-1481	9	11	,	,	PUNCT
ijassa-1481	9	12	an	an	DET
ijassa-1481	9	13	increasing	increase	VERB
ijassa-1481	9	14	number	number	NOUN
ijassa-1481	9	15	of	of	ADP
ijassa-1481	9	16	users	user	NOUN
ijassa-1481	9	17	are	be	AUX
ijassa-1481	9	18	transitioning	transition	VERB
ijassa-1481	9	19	to	to	PART
ijassa-1481	9	20	cloud	cloud	VERB
ijassa-1481	9	21	storage	storage	NOUN
ijassa-1481	9	22	solutions	solution	NOUN
ijassa-1481	9	23	.	.	PUNCT
ijassa-1481	10	1	in	in	ADP
ijassa-1481	10	2	today	today	NOUN
ijassa-1481	10	3	’s	’s	PART
ijassa-1481	10	4	context	context	NOUN
ijassa-1481	10	5	,	,	PUNCT
ijassa-1481	10	6	the	the	DET
ijassa-1481	10	7	demands	demand	NOUN
ijassa-1481	10	8	for	for	ADP
ijassa-1481	10	9	data	datum	NOUN
ijassa-1481	10	10	storage	storage	NOUN
ijassa-1481	10	11	reliability	reliability	NOUN
ijassa-1481	10	12	within	within	ADP
ijassa-1481	10	13	cloud	cloud	ADJ
ijassa-1481	10	14	environments	environment	NOUN
ijassa-1481	10	15	are	be	AUX
ijassa-1481	10	16	consistently	consistently	ADV
ijassa-1481	10	17	escalating	escalate	VERB
ijassa-1481	10	18	.	.	PUNCT
ijassa-1481	11	1	reliability	reliability	NOUN
ijassa-1481	11	2	in	in	ADP
ijassa-1481	11	3	cloud	cloud	ADJ
ijassa-1481	11	4	storage	storage	NOUN
ijassa-1481	11	5	refers	refer	VERB
ijassa-1481	11	6	to	to	ADP
ijassa-1481	11	7	its	its	PRON
ijassa-1481	11	8	capacity	capacity	NOUN
ijassa-1481	11	9	to	to	PART
ijassa-1481	11	10	uphold	uphold	VERB
ijassa-1481	11	11	data	data	NOUN
ijassa-1481	11	12	management	management	NOUN
ijassa-1481	11	13	and	and	CCONJ
ijassa-1481	11	14	retention	retention	NOUN
ijassa-1481	11	15	,	,	PUNCT
ijassa-1481	11	16	all	all	PRON
ijassa-1481	11	17	while	while	SCONJ
ijassa-1481	11	18	upholding	uphold	VERB
ijassa-1481	11	19	predefined	predefine	VERB
ijassa-1481	11	20	quality	quality	NOUN
ijassa-1481	11	21	benchmarks	benchmark	NOUN
ijassa-1481	11	22	within	within	ADP
ijassa-1481	11	23	operational	operational	ADJ
ijassa-1481	11	24	conditions	condition	NOUN
ijassa-1481	11	25	over	over	ADP
ijassa-1481	11	26	time	time	NOUN
ijassa-1481	11	27	.	.	PUNCT
ijassa-1481	12	1	this	this	DET
ijassa-1481	12	2	concept	concept	NOUN
ijassa-1481	12	3	primarily	primarily	ADV
ijassa-1481	12	4	encompasses	encompass	VERB
ijassa-1481	12	5	the	the	DET
ijassa-1481	12	6	influence	influence	NOUN
ijassa-1481	12	7	of	of	ADP
ijassa-1481	12	8	intersystem	intersystem	NOUN
ijassa-1481	12	9	factors	factor	NOUN
ijassa-1481	12	10	,	,	PUNCT
ijassa-1481	12	11	particularly	particularly	ADV
ijassa-1481	12	12	the	the	DET
ijassa-1481	12	13	occurrence	occurrence	NOUN
ijassa-1481	12	14	of	of	ADP
ijassa-1481	12	15	unforeseen	unforeseen	ADJ
ijassa-1481	12	16	technological	technological	ADJ
ijassa-1481	12	17	breakdowns	breakdown	NOUN
ijassa-1481	12	18	,	,	PUNCT
ijassa-1481	12	19	on	on	ADP
ijassa-1481	12	20	the	the	DET
ijassa-1481	12	21	performance	performance	NOUN
ijassa-1481	12	22	of	of	ADP
ijassa-1481	12	23	cloud	cloud	ADJ
ijassa-1481	12	24	storage	storage	NOUN
ijassa-1481	12	25	systems	system	NOUN
ijassa-1481	12	26	[	[	X
ijassa-1481	12	27	1	1	NUM
ijassa-1481	12	28	]	]	PUNCT
ijassa-1481	12	29	.	.	PUNCT
ijassa-1481	13	1	fog	fog	PROPN
ijassa-1481	13	2	computing	computing	PROPN
ijassa-1481	13	3	,	,	PUNCT
ijassa-1481	13	4	often	often	ADV
ijassa-1481	13	5	referred	refer	VERB
ijassa-1481	13	6	to	to	ADP
ijassa-1481	13	7	as	as	ADP
ijassa-1481	13	8	fog	fog	NOUN
ijassa-1481	13	9	networks	network	NOUN
ijassa-1481	13	10	or	or	CCONJ
ijassa-1481	13	11	edge	edge	NOUN
ijassa-1481	13	12	computing	computing	NOUN
ijassa-1481	13	13	,	,	PUNCT
ijassa-1481	13	14	represents	represent	VERB
ijassa-1481	13	15	a	a	DET
ijassa-1481	13	16	decentralized	decentralized	ADJ
ijassa-1481	13	17	computing	computing	NOUN
ijassa-1481	13	18	model	model	NOUN
ijassa-1481	13	19	that	that	PRON
ijassa-1481	13	20	draws	draw	VERB
ijassa-1481	13	21	data	datum	NOUN
ijassa-1481	13	22	processing	processing	NOUN
ijassa-1481	13	23	and	and	CCONJ
ijassa-1481	13	24	storage	storage	NOUN
ijassa-1481	13	25	closer	close	ADV
ijassa-1481	13	26	to	to	ADP
ijassa-1481	13	27	the	the	DET
ijassa-1481	13	28	devices	device	NOUN
ijassa-1481	13	29	and	and	CCONJ
ijassa-1481	13	30	individuals	individual	NOUN
ijassa-1481	13	31	responsible	responsible	ADJ
ijassa-1481	13	32	for	for	ADP
ijassa-1481	13	33	generating	generate	VERB
ijassa-1481	13	34	and	and	CCONJ
ijassa-1481	13	35	utilizing	utilize	VERB
ijassa-1481	13	36	the	the	DET
ijassa-1481	13	37	data	datum	NOUN
ijassa-1481	13	38	.	.	PUNCT
ijassa-1481	14	1	it	it	PRON
ijassa-1481	14	2	entails	entail	VERB
ijassa-1481	14	3	processing	processing	NOUN
ijassa-1481	14	4	data	datum	NOUN
ijassa-1481	14	5	at	at	ADP
ijassa-1481	14	6	the	the	DET
ijassa-1481	14	7	network	network	NOUN
ijassa-1481	14	8	’s	’s	PART
ijassa-1481	14	9	periphery	periphery	NOUN
ijassa-1481	14	10	,	,	PUNCT
ijassa-1481	14	11	in	in	ADP
ijassa-1481	14	12	close	close	ADJ
ijassa-1481	14	13	proximity	proximity	NOUN
ijassa-1481	14	14	to	to	ADP
ijassa-1481	14	15	the	the	DET
ijassa-1481	14	16	data	datum	NOUN
ijassa-1481	14	17	’s	’s	PART
ijassa-1481	14	18	origin	origin	NOUN
ijassa-1481	14	19	,	,	PUNCT
ijassa-1481	14	20	rather	rather	ADV
ijassa-1481	14	21	than	than	ADP
ijassa-1481	14	22	relying	rely	VERB
ijassa-1481	14	23	on	on	ADP
ijassa-1481	14	24	a	a	DET
ijassa-1481	14	25	central	central	ADJ
ijassa-1481	14	26	server	server	NOUN
ijassa-1481	14	27	like	like	ADP
ijassa-1481	14	28	a	a	DET
ijassa-1481	14	29	data	datum	NOUN
ijassa-1481	14	30	center	center	NOUN
ijassa-1481	14	31	or	or	CCONJ
ijassa-1481	14	32	cloud	cloud	NOUN
ijassa-1481	14	33	infrastructure	infrastructure	NOUN
ijassa-1481	14	34	.	.	PUNCT
ijassa-1481	15	1	this	this	DET
ijassa-1481	15	2	approach	approach	NOUN
ijassa-1481	15	3	notably	notably	ADV
ijassa-1481	15	4	di	di	NOUN
ijassa-1481	15	5	-	-	PUNCT
ijassa-1481	15	6	minishes	minishe	VERB
ijassa-1481	15	7	the	the	DET
ijassa-1481	15	8	volume	volume	NOUN
ijassa-1481	15	9	of	of	ADP
ijassa-1481	15	10	data	datum	NOUN
ijassa-1481	15	11	necessitating	necessitate	VERB
ijassa-1481	15	12	transmission	transmission	NOUN
ijassa-1481	15	13	through	through	ADP
ijassa-1481	15	14	the	the	DET
ijassa-1481	15	15	network	network	NOUN
ijassa-1481	15	16	,	,	PUNCT
ijassa-1481	15	17	effectively	effectively	ADV
ijassa-1481	15	18	curbing	curb	VERB
ijassa-1481	15	19	latency	latency	NOUN
ijassa-1481	15	20	,	,	PUNCT
ijassa-1481	15	21	bandwidth	bandwidth	ADJ
ijassa-1481	15	22	demands	demand	NOUN
ijassa-1481	15	23	,	,	PUNCT
ijassa-1481	15	24	and	and	CCONJ
ijassa-1481	15	25	associated	associated	ADJ
ijassa-1481	15	26	expenses	expense	NOUN
ijassa-1481	15	27	.	.	PUNCT
ijassa-1481	16	1	it	it	PRON
ijassa-1481	16	2	also	also	ADV
ijassa-1481	16	3	empowers	empower	VERB
ijassa-1481	16	4	re	re	NOUN
ijassa-1481	16	5	-	-	PROPN
ijassa-1481	16	6	al	al	ADJ
ijassa-1481	16	7	-	-	PUNCT
ijassa-1481	16	8	time	time	NOUN
ijassa-1481	16	9	processing	processing	NOUN
ijassa-1481	16	10	,	,	PUNCT
ijassa-1481	16	11	expediting	expedite	VERB
ijassa-1481	16	12	decision	decision	NOUN
ijassa-1481	16	13	-	-	PUNCT
ijassa-1481	16	14	making	make	VERB
ijassa-1481	16	15	processes	process	NOUN
ijassa-1481	16	16	and	and	CCONJ
ijassa-1481	16	17	enhancing	enhance	VERB
ijassa-1481	16	18	overall	overall	ADJ
ijassa-1481	16	19	respon	respon	NOUN
ijassa-1481	16	20	-	-	PUNCT
ijassa-1481	16	21	siveness	siveness	NOUN
ijassa-1481	16	22	[	[	X
ijassa-1481	16	23	2	2	NUM
ijassa-1481	16	24	,	,	PUNCT
ijassa-1481	16	25	3	3	NUM
ijassa-1481	16	26	]	]	PUNCT
ijassa-1481	16	27	.	.	PUNCT
ijassa-1481	17	1	fog	fog	PROPN
ijassa-1481	17	2	computing	computing	NOUN
ijassa-1481	17	3	is	be	AUX
ijassa-1481	17	4	particularly	particularly	ADV
ijassa-1481	17	5	useful	useful	ADJ
ijassa-1481	17	6	in	in	ADP
ijassa-1481	17	7	the	the	DET
ijassa-1481	17	8	internet	internet	NOUN
ijassa-1481	17	9	of	of	ADP
ijassa-1481	17	10	things	thing	NOUN
ijassa-1481	17	11	(	(	PUNCT
ijassa-1481	17	12	iot	iot	NOUN
ijassa-1481	17	13	)	)	PUNCT
ijassa-1481	17	14	and	and	CCONJ
ijassa-1481	17	15	other	other	ADJ
ijassa-1481	17	16	applications	application	NOUN
ijassa-1481	17	17	where	where	SCONJ
ijassa-1481	17	18	devices	device	NOUN
ijassa-1481	17	19	are	be	AUX
ijassa-1481	17	20	distributed	distribute	VERB
ijassa-1481	17	21	and	and	CCONJ
ijassa-1481	17	22	have	have	VERB
ijassa-1481	17	23	limited	limit	VERB
ijassa-1481	17	24	processing	processing	NOUN
ijassa-1481	17	25	power	power	NOUN
ijassa-1481	17	26	and	and	CCONJ
ijassa-1481	17	27	connectivity	connectivity	NOUN
ijassa-1481	17	28	.	.	PUNCT
ijassa-1481	18	1	they	they	PRON
ijassa-1481	18	2	allow	allow	VERB
ijassa-1481	18	3	these	these	DET
ijassa-1481	18	4	devices	device	NOUN
ijassa-1481	18	5	to	to	PART
ijassa-1481	18	6	process	process	VERB
ijassa-1481	18	7	data	datum	NOUN
ijassa-1481	18	8	locally	locally	ADV
ijassa-1481	18	9	and	and	CCONJ
ijassa-1481	18	10	make	make	VERB
ijassa-1481	18	11	decisions	decision	NOUN
ijassa-1481	18	12	autonomously	autonomously	ADV
ijassa-1481	18	13	,	,	PUNCT
ijassa-1481	18	14	without	without	ADP
ijassa-1481	18	15	the	the	DET
ijassa-1481	18	16	need	need	NOUN
ijassa-1481	18	17	to	to	PART
ijassa-1481	18	18	constantly	constantly	ADV
ijassa-1481	18	19	interact	interact	VERB
ijassa-1481	18	20	with	with	ADP
ijassa-1481	18	21	the	the	DET
ijassa-1481	18	22	cloud	cloud	NOUN
ijassa-1481	18	23	.	.	PUNCT
ijassa-1481	19	1	this	this	PRON
ijassa-1481	19	2	can	can	AUX
ijassa-1481	19	3	also	also	ADV
ijassa-1481	19	4	improve	improve	VERB
ijassa-1481	19	5	security	security	NOUN
ijassa-1481	19	6	and	and	CCONJ
ijassa-1481	19	7	privacy	privacy	NOUN
ijassa-1481	19	8	,	,	PUNCT
ijassa-1481	19	9	as	as	SCONJ
ijassa-1481	19	10	sensitive	sensitive	ADJ
ijassa-1481	19	11	data	datum	NOUN
ijassa-1481	19	12	can	can	AUX
ijassa-1481	19	13	be	be	AUX
ijassa-1481	19	14	processed	process	VERB
ijassa-1481	19	15	and	and	CCONJ
ijassa-1481	19	16	stored	store	VERB
ijassa-1481	19	17	locally	locally	ADV
ijassa-1481	19	18	rather	rather	ADV
ijassa-1481	19	19	than	than	ADP
ijassa-1481	19	20	being	be	AUX
ijassa-1481	19	21	transmit	transmit	NOUN
ijassa-1481	19	22	-	-	PUNCT
ijassa-1481	19	23	ted	te	VERB
ijassa-1481	19	24	over	over	ADP
ijassa-1481	19	25	a	a	DET
ijassa-1481	19	26	network	network	NOUN
ijassa-1481	19	27	.	.	PUNCT
ijassa-1481	20	1	fog	fog	PROPN
ijassa-1481	20	2	computing	computing	PROPN
ijassa-1481	20	3	also	also	ADV
ijassa-1481	20	4	provides	provide	VERB
ijassa-1481	20	5	a	a	DET
ijassa-1481	20	6	bridge	bridge	NOUN
ijassa-1481	20	7	between	between	ADP
ijassa-1481	20	8	the	the	DET
ijassa-1481	20	9	cloud	cloud	NOUN
ijassa-1481	20	10	and	and	CCONJ
ijassa-1481	20	11	the	the	DET
ijassa-1481	20	12	net	net	ADJ
ijassa-1481	20	13	-	-	PUNCT
ijassa-1481	20	14	work	work	NOUN
ijassa-1481	20	15	edge	edge	NOUN
ijassa-1481	20	16	,	,	PUNCT
ijassa-1481	20	17	allowing	allow	VERB
ijassa-1481	20	18	data	datum	NOUN
ijassa-1481	20	19	∗corresponding	∗corresponde	VERB
ijassa-1481	20	20	author	author	NOUN
ijassa-1481	20	21	:	:	PUNCT
ijassa-1481	20	22	nkucherov@ncfu.ru	nkucherov@ncfu.ru	ADV
ijassa-1481	20	23	data	data	VERB
ijassa-1481	20	24	storage	storage	NOUN
ijassa-1481	20	25	with	with	ADP
ijassa-1481	20	26	increased	increase	VERB
ijassa-1481	20	27	survivability	survivability	NOUN
ijassa-1481	20	28	and	and	CCONJ
ijassa-1481	20	29	reliability	reliability	NOUN
ijassa-1481	20	30	...	...	PUNCT
ijassa-1481	20	31	167	167	NUM
ijassa-1481	20	32	to	to	PART
ijassa-1481	20	33	be	be	AUX
ijassa-1481	20	34	processed	process	VERB
ijassa-1481	20	35	and	and	CCONJ
ijassa-1481	20	36	analyzed	analyze	VERB
ijassa-1481	20	37	at	at	ADP
ijassa-1481	20	38	different	different	ADJ
ijassa-1481	20	39	levels	level	NOUN
ijassa-1481	20	40	of	of	ADP
ijassa-1481	20	41	granularity	granularity	NOUN
ijassa-1481	20	42	depending	depend	VERB
ijassa-1481	20	43	on	on	ADP
ijassa-1481	20	44	the	the	DET
ijassa-1481	20	45	application	application	NOUN
ijassa-1481	20	46	requirements	requirement	NOUN
ijassa-1481	20	47	.	.	PUNCT
ijassa-1481	21	1	they	they	PRON
ijassa-1481	21	2	can	can	AUX
ijassa-1481	21	3	be	be	AUX
ijassa-1481	21	4	used	use	VERB
ijassa-1481	21	5	in	in	ADP
ijassa-1481	21	6	a	a	DET
ijassa-1481	21	7	variety	variety	NOUN
ijassa-1481	21	8	of	of	ADP
ijassa-1481	21	9	applications	application	NOUN
ijassa-1481	21	10	such	such	ADJ
ijassa-1481	21	11	as	as	ADP
ijassa-1481	21	12	industrial	industrial	ADJ
ijassa-1481	21	13	control	control	NOUN
ijassa-1481	21	14	systems	system	NOUN
ijassa-1481	21	15	,	,	PUNCT
ijassa-1481	21	16	smart	smart	ADJ
ijassa-1481	21	17	city	city	NOUN
ijassa-1481	21	18	,	,	PUNCT
ijassa-1481	21	19	transportation	transportation	NOUN
ijassa-1481	21	20	and	and	CCONJ
ijassa-1481	21	21	healthcare	healthcare	NOUN
ijassa-1481	21	22	[	[	X
ijassa-1481	21	23	4	4	NUM
ijassa-1481	21	24	]	]	PUNCT
ijassa-1481	21	25	.	.	PUNCT
ijassa-1481	22	1	one	one	NUM
ijassa-1481	22	2	of	of	ADP
ijassa-1481	22	3	the	the	DET
ijassa-1481	22	4	key	key	ADJ
ijassa-1481	22	5	advantages	advantage	NOUN
ijassa-1481	22	6	of	of	ADP
ijassa-1481	22	7	edge	edge	NOUN
ijassa-1481	22	8	computing	computing	NOUN
ijassa-1481	22	9	lies	lie	VERB
ijassa-1481	22	10	in	in	ADP
ijassa-1481	22	11	its	its	PRON
ijassa-1481	22	12	capability	capability	NOUN
ijassa-1481	22	13	to	to	PART
ijassa-1481	22	14	swiftly	swiftly	ADV
ijassa-1481	22	15	gather	gather	VERB
ijassa-1481	22	16	and	and	CCONJ
ijassa-1481	22	17	analyze	analyze	VERB
ijassa-1481	22	18	data	datum	NOUN
ijassa-1481	22	19	in	in	ADP
ijassa-1481	22	20	actual	actual	ADJ
ijassa-1481	22	21	time	time	NOUN
ijassa-1481	22	22	,	,	PUNCT
ijassa-1481	22	23	facilitating	facilitate	VERB
ijassa-1481	22	24	accelerated	accelerate	VERB
ijassa-1481	22	25	decision	decision	NOUN
ijassa-1481	22	26	-	-	PUNCT
ijassa-1481	22	27	making	make	VERB
ijassa-1481	22	28	and	and	CCONJ
ijassa-1481	22	29	heightened	heightened	ADJ
ijassa-1481	22	30	responsiveness	responsiveness	NOUN
ijassa-1481	22	31	.	.	PUNCT
ijassa-1481	23	1	moreover	moreover	ADV
ijassa-1481	23	2	,	,	PUNCT
ijassa-1481	23	3	edge	edge	NOUN
ijassa-1481	23	4	computing	computing	NOUN
ijassa-1481	23	5	can	can	AUX
ijassa-1481	23	6	serve	serve	VERB
ijassa-1481	23	7	to	to	PART
ijassa-1481	23	8	shift	shift	VERB
ijassa-1481	23	9	computational	computational	ADJ
ijassa-1481	23	10	and	and	CCONJ
ijassa-1481	23	11	storage	storage	NOUN
ijassa-1481	23	12	burdens	burden	NOUN
ijassa-1481	23	13	away	away	ADV
ijassa-1481	23	14	from	from	ADP
ijassa-1481	23	15	cloud	cloud	ADJ
ijassa-1481	23	16	environments	environment	NOUN
ijassa-1481	23	17	,	,	PUNCT
ijassa-1481	23	18	subsequently	subsequently	ADV
ijassa-1481	23	19	mitigating	mitigate	VERB
ijassa-1481	23	20	the	the	DET
ijassa-1481	23	21	expenses	expense	NOUN
ijassa-1481	23	22	and	and	CCONJ
ijassa-1481	23	23	de	de	NOUN
ijassa-1481	23	24	-	-	VERB
ijassa-1481	23	25	lays	lay	NOUN
ijassa-1481	23	26	typically	typically	ADV
ijassa-1481	23	27	linked	link	VERB
ijassa-1481	23	28	with	with	ADP
ijassa-1481	23	29	cloud	cloud	NOUN
ijassa-1481	23	30	-	-	PUNCT
ijassa-1481	23	31	based	base	VERB
ijassa-1481	23	32	solutions	solution	NOUN
ijassa-1481	23	33	.	.	PUNCT
ijassa-1481	24	1	nevertheless	nevertheless	ADV
ijassa-1481	24	2	,	,	PUNCT
ijassa-1481	24	3	this	this	DET
ijassa-1481	24	4	approach	approach	NOUN
ijassa-1481	24	5	also	also	ADV
ijassa-1481	24	6	intro	intro	VERB
ijassa-1481	24	7	-	-	PUNCT
ijassa-1481	24	8	duces	duce	NOUN
ijassa-1481	24	9	novel	novel	NOUN
ijassa-1481	24	10	hurdles	hurdle	NOUN
ijassa-1481	24	11	,	,	PUNCT
ijassa-1481	24	12	including	include	VERB
ijassa-1481	24	13	issues	issue	NOUN
ijassa-1481	24	14	related	relate	VERB
ijassa-1481	24	15	to	to	ADP
ijassa-1481	24	16	security	security	NOUN
ijassa-1481	24	17	,	,	PUNCT
ijassa-1481	24	18	unpredictability	unpredictability	NOUN
ijassa-1481	24	19	,	,	PUNCT
ijassa-1481	24	20	efficient	efficient	ADJ
ijassa-1481	24	21	data	datum	NOUN
ijassa-1481	24	22	handling	handling	NOUN
ijassa-1481	24	23	,	,	PUNCT
ijassa-1481	24	24	and	and	CCONJ
ijassa-1481	24	25	seamless	seamless	ADJ
ijassa-1481	24	26	deployment	deployment	NOUN
ijassa-1481	24	27	.	.	PUNCT
ijassa-1481	25	1	fog	fog	NOUN
ijassa-1481	25	2	computing	compute	VERB
ijassa-1481	25	3	infrastructure	infrastructure	NOUN
ijassa-1481	25	4	can	can	AUX
ijassa-1481	25	5	include	include	VERB
ijassa-1481	25	6	various	various	ADJ
ijassa-1481	25	7	devices	device	NOUN
ijassa-1481	25	8	such	such	ADJ
ijassa-1481	25	9	as	as	ADP
ijassa-1481	25	10	routers	router	NOUN
ijassa-1481	25	11	,	,	PUNCT
ijassa-1481	25	12	gateways	gateway	NOUN
ijassa-1481	25	13	,	,	PUNCT
ijassa-1481	25	14	and	and	CCONJ
ijassa-1481	25	15	embedded	embed	VERB
ijassa-1481	25	16	systems	system	NOUN
ijassa-1481	25	17	.	.	PUNCT
ijassa-1481	26	1	these	these	DET
ijassa-1481	26	2	devices	device	NOUN
ijassa-1481	26	3	are	be	AUX
ijassa-1481	26	4	capable	capable	ADJ
ijassa-1481	26	5	of	of	ADP
ijassa-1481	26	6	running	run	VERB
ijassa-1481	26	7	various	various	ADJ
ijassa-1481	26	8	applications	application	NOUN
ijassa-1481	26	9	and	and	CCONJ
ijassa-1481	26	10	providing	provide	VERB
ijassa-1481	26	11	services	service	NOUN
ijassa-1481	26	12	in	in	ADP
ijassa-1481	26	13	a	a	DET
ijassa-1481	26	14	decentralized	decentralize	VERB
ijassa-1481	26	15	manner	manner	NOUN
ijassa-1481	26	16	,	,	PUNCT
ijassa-1481	26	17	in	in	ADP
ijassa-1481	26	18	interaction	interaction	NOUN
ijassa-1481	26	19	with	with	ADP
ijassa-1481	26	20	each	each	DET
ijassa-1481	26	21	other	other	ADJ
ijassa-1481	26	22	and	and	CCONJ
ijassa-1481	26	23	with	with	ADP
ijassa-1481	26	24	the	the	DET
ijassa-1481	26	25	cloud	cloud	NOUN
ijassa-1481	26	26	[	[	X
ijassa-1481	26	27	5	5	NUM
ijassa-1481	26	28	]	]	PUNCT
ijassa-1481	26	29	.	.	PUNCT
ijassa-1481	27	1	the	the	DET
ijassa-1481	27	2	survivability	survivability	NOUN
ijassa-1481	27	3	of	of	ADP
ijassa-1481	27	4	a	a	DET
ijassa-1481	27	5	cloud	cloud	ADJ
ijassa-1481	27	6	-	-	PUNCT
ijassa-1481	27	7	fog	fog	NOUN
ijassa-1481	27	8	system	system	NOUN
ijassa-1481	27	9	refers	refer	VERB
ijassa-1481	27	10	to	to	ADP
ijassa-1481	27	11	the	the	DET
ijassa-1481	27	12	robustness	robustness	NOUN
ijassa-1481	27	13	of	of	ADP
ijassa-1481	27	14	its	its	PRON
ijassa-1481	27	15	control	control	NOUN
ijassa-1481	27	16	and	and	CCONJ
ijassa-1481	27	17	transceiver	transceiver	NOUN
ijassa-1481	27	18	system	system	NOUN
ijassa-1481	27	19	against	against	ADP
ijassa-1481	27	20	the	the	DET
ijassa-1481	27	21	action	action	NOUN
ijassa-1481	27	22	of	of	ADP
ijassa-1481	27	23	causes	cause	NOUN
ijassa-1481	27	24	from	from	ADP
ijassa-1481	27	25	outside	outside	ADV
ijassa-1481	27	26	aimed	aim	VERB
ijassa-1481	27	27	at	at	ADP
ijassa-1481	27	28	disabling	disable	VERB
ijassa-1481	27	29	the	the	DET
ijassa-1481	27	30	storage	storage	NOUN
ijassa-1481	27	31	,	,	PUNCT
ijassa-1481	27	32	as	as	ADV
ijassa-1481	27	33	well	well	ADV
ijassa-1481	27	34	as	as	ADP
ijassa-1481	27	35	resistance	resistance	NOUN
ijassa-1481	27	36	to	to	ADP
ijassa-1481	27	37	cascading	cascade	VERB
ijassa-1481	27	38	failures	failure	NOUN
ijassa-1481	27	39	.	.	PUNCT
ijassa-1481	28	1	the	the	DET
ijassa-1481	28	2	causes	cause	NOUN
ijassa-1481	28	3	of	of	ADP
ijassa-1481	28	4	reduced	reduce	VERB
ijassa-1481	28	5	survivability	survivability	NOUN
ijassa-1481	28	6	are	be	AUX
ijassa-1481	28	7	divided	divide	VERB
ijassa-1481	28	8	into	into	ADP
ijassa-1481	28	9	two	two	NUM
ijassa-1481	28	10	types	type	NOUN
ijassa-1481	28	11	:	:	PUNCT
ijassa-1481	28	12	spontaneous	spontaneous	ADJ
ijassa-1481	28	13	,	,	PUNCT
ijassa-1481	28	14	deliber	deliber	NOUN
ijassa-1481	28	15	-	-	PUNCT
ijassa-1481	28	16	ate	ate	NOUN
ijassa-1481	28	17	,	,	PUNCT
ijassa-1481	28	18	and	and	CCONJ
ijassa-1481	28	19	suboptimal	suboptimal	ADJ
ijassa-1481	28	20	in	in	ADP
ijassa-1481	28	21	terms	term	NOUN
ijassa-1481	28	22	of	of	ADP
ijassa-1481	28	23	the	the	DET
ijassa-1481	28	24	choice	choice	NOUN
ijassa-1481	28	25	of	of	ADP
ijassa-1481	28	26	technical	technical	ADJ
ijassa-1481	28	27	solutions	solution	NOUN
ijassa-1481	28	28	in	in	ADP
ijassa-1481	28	29	the	the	DET
ijassa-1481	28	30	construction	construction	NOUN
ijassa-1481	28	31	of	of	ADP
ijassa-1481	28	32	the	the	DET
ijassa-1481	28	33	system	system	NOUN
ijassa-1481	28	34	.	.	PUNCT
ijassa-1481	29	1	the	the	DET
ijassa-1481	29	2	notions	notion	NOUN
ijassa-1481	29	3	of	of	ADP
ijassa-1481	29	4	reliability	reliability	NOUN
ijassa-1481	29	5	and	and	CCONJ
ijassa-1481	29	6	survivability	survivability	NOUN
ijassa-1481	29	7	share	share	NOUN
ijassa-1481	29	8	commonalities	commonality	NOUN
ijassa-1481	29	9	while	while	SCONJ
ijassa-1481	29	10	also	also	ADV
ijassa-1481	29	11	present	present	ADJ
ijassa-1481	29	12	-	-	PUNCT
ijassa-1481	29	13	ing	ing	ADJ
ijassa-1481	29	14	notable	notable	ADJ
ijassa-1481	29	15	distinctions	distinction	NOUN
ijassa-1481	29	16	.	.	PUNCT
ijassa-1481	30	1	what	what	PRON
ijassa-1481	30	2	binds	bind	VERB
ijassa-1481	30	3	them	they	PRON
ijassa-1481	30	4	is	be	AUX
ijassa-1481	30	5	the	the	DET
ijassa-1481	30	6	underlying	underlying	ADJ
ijassa-1481	30	7	principle	principle	NOUN
ijassa-1481	30	8	of	of	ADP
ijassa-1481	30	9	”	"	PUNCT
ijassa-1481	30	10	sustain	sustain	VERB
ijassa-1481	30	11	-	-	PUNCT
ijassa-1481	30	12	ability	ability	NOUN
ijassa-1481	30	13	,	,	PUNCT
ijassa-1481	30	14	”	"	PUNCT
ijassa-1481	30	15	which	which	PRON
ijassa-1481	30	16	encompasses	encompass	VERB
ijassa-1481	30	17	a	a	DET
ijassa-1481	30	18	wide	wide	ADJ
ijassa-1481	30	19	range	range	NOUN
ijassa-1481	30	20	of	of	ADP
ijassa-1481	30	21	factors	factor	NOUN
ijassa-1481	30	22	,	,	PUNCT
ijassa-1481	30	23	encompassing	encompass	VERB
ijassa-1481	30	24	diverse	diverse	ADJ
ijassa-1481	30	25	failures	failure	NOUN
ijassa-1481	30	26	that	that	PRON
ijassa-1481	30	27	can	can	AUX
ijassa-1481	30	28	transpire	transpire	VERB
ijassa-1481	30	29	.	.	PUNCT
ijassa-1481	31	1	the	the	DET
ijassa-1481	31	2	sustainability	sustainability	NOUN
ijassa-1481	31	3	index	index	NOUN
ijassa-1481	31	4	emerges	emerge	VERB
ijassa-1481	31	5	as	as	ADP
ijassa-1481	31	6	a	a	DET
ijassa-1481	31	7	composite	composite	ADJ
ijassa-1481	31	8	metric	metric	NOUN
ijassa-1481	31	9	that	that	PRON
ijassa-1481	31	10	incorporates	incorporate	VERB
ijassa-1481	31	11	aspects	aspect	NOUN
ijassa-1481	31	12	of	of	ADP
ijassa-1481	31	13	reliability	reliability	NOUN
ijassa-1481	31	14	,	,	PUNCT
ijassa-1481	31	15	survivability	survivability	NOUN
ijassa-1481	31	16	,	,	PUNCT
ijassa-1481	31	17	and	and	CCONJ
ijassa-1481	31	18	fault	fault	VERB
ijassa-1481	31	19	tolerance	tolerance	NOUN
ijassa-1481	31	20	indices	index	NOUN
ijassa-1481	31	21	.	.	PUNCT
ijassa-1481	32	1	discrepancies	discrepancy	NOUN
ijassa-1481	32	2	between	between	ADP
ijassa-1481	32	3	the	the	DET
ijassa-1481	32	4	concepts	concept	NOUN
ijassa-1481	32	5	of	of	ADP
ijassa-1481	32	6	reliability	reliability	NOUN
ijassa-1481	32	7	and	and	CCONJ
ijassa-1481	32	8	survivability	survivability	NOUN
ijassa-1481	32	9	stem	stem	NOUN
ijassa-1481	32	10	from	from	ADP
ijassa-1481	32	11	distinct	distinct	ADJ
ijassa-1481	32	12	ways	way	NOUN
ijassa-1481	32	13	they	they	PRON
ijassa-1481	32	14	manifest	manifest	VERB
ijassa-1481	32	15	and	and	CCONJ
ijassa-1481	32	16	their	their	PRON
ijassa-1481	32	17	varying	vary	VERB
ijassa-1481	32	18	natures	nature	NOUN
ijassa-1481	32	19	within	within	ADP
ijassa-1481	32	20	the	the	DET
ijassa-1481	32	21	context	context	NOUN
ijassa-1481	32	22	of	of	ADP
ijassa-1481	32	23	cloud	cloud	NOUN
ijassa-1481	32	24	and	and	CCONJ
ijassa-1481	32	25	fog	fog	NOUN
ijassa-1481	32	26	systems	system	NOUN
ijassa-1481	32	27	.	.	PUNCT
ijassa-1481	33	1	factors	factor	NOUN
ijassa-1481	33	2	leading	lead	VERB
ijassa-1481	33	3	to	to	ADP
ijassa-1481	33	4	disruptions	disruption	NOUN
ijassa-1481	33	5	in	in	ADP
ijassa-1481	33	6	their	their	PRON
ijassa-1481	33	7	regular	regular	ADJ
ijassa-1481	33	8	functioning	functioning	NOUN
ijassa-1481	33	9	vary	vary	NOUN
ijassa-1481	33	10	significantly	significantly	ADV
ijassa-1481	33	11	,	,	PUNCT
ijassa-1481	33	12	including	include	VERB
ijassa-1481	33	13	the	the	DET
ijassa-1481	33	14	nature	nature	NOUN
ijassa-1481	33	15	and	and	CCONJ
ijassa-1481	33	16	scope	scope	NOUN
ijassa-1481	33	17	of	of	ADP
ijassa-1481	33	18	failures	failure	NOUN
ijassa-1481	33	19	,	,	PUNCT
ijassa-1481	33	20	their	their	PRON
ijassa-1481	33	21	duration	duration	NOUN
ijassa-1481	33	22	,	,	PUNCT
ijassa-1481	33	23	and	and	CCONJ
ijassa-1481	33	24	the	the	DET
ijassa-1481	33	25	strategies	strategy	NOUN
ijassa-1481	33	26	employed	employ	VERB
ijassa-1481	33	27	for	for	ADP
ijassa-1481	33	28	rectification	rectification	NOUN
ijassa-1481	33	29	and	and	CCONJ
ijassa-1481	33	30	augmenting	augment	VERB
ijassa-1481	33	31	fault	fault	NOUN
ijassa-1481	33	32	tolerance	tolerance	NOUN
ijassa-1481	33	33	.	.	PUNCT
ijassa-1481	34	1	consequently	consequently	ADV
ijassa-1481	34	2	,	,	PUNCT
ijassa-1481	34	3	the	the	DET
ijassa-1481	34	4	foundational	foundational	ADJ
ijassa-1481	34	5	data	datum	NOUN
ijassa-1481	34	6	,	,	PUNCT
ijassa-1481	34	7	calculation	calculation	NOUN
ijassa-1481	34	8	methodologies	methodology	NOUN
ijassa-1481	34	9	,	,	PUNCT
ijassa-1481	34	10	precision	precision	NOUN
ijassa-1481	34	11	,	,	PUNCT
ijassa-1481	34	12	and	and	CCONJ
ijassa-1481	34	13	fundamental	fundamental	ADJ
ijassa-1481	34	14	nature	nature	NOUN
ijassa-1481	34	15	of	of	ADP
ijassa-1481	34	16	reliability	reliability	NOUN
ijassa-1481	34	17	and	and	CCONJ
ijassa-1481	34	18	survivability	survivability	NOUN
ijassa-1481	34	19	metrics	metric	NOUN
ijassa-1481	34	20	diverge	diverge	VERB
ijassa-1481	34	21	substantially	substantially	ADV
ijassa-1481	34	22	.	.	PUNCT
ijassa-1481	35	1	the	the	DET
ijassa-1481	35	2	former	former	ADJ
ijassa-1481	35	3	group	group	NOUN
ijassa-1481	35	4	benefits	benefit	NOUN
ijassa-1481	35	5	from	from	ADP
ijassa-1481	35	6	substantial	substantial	ADJ
ijassa-1481	35	7	statistical	statistical	ADJ
ijassa-1481	35	8	data	datum	NOUN
ijassa-1481	35	9	,	,	PUNCT
ijassa-1481	35	10	encompasses	encompass	VERB
ijassa-1481	35	11	essential	essential	ADJ
ijassa-1481	35	12	influencing	influence	VERB
ijassa-1481	35	13	factors	factor	NOUN
ijassa-1481	35	14	,	,	PUNCT
ijassa-1481	35	15	and	and	CCONJ
ijassa-1481	35	16	boasts	boast	VERB
ijassa-1481	35	17	robust	robust	ADJ
ijassa-1481	35	18	theoretical	theoretical	ADJ
ijassa-1481	35	19	foundations	foundation	NOUN
ijassa-1481	35	20	.	.	PUNCT
ijassa-1481	36	1	they	they	PRON
ijassa-1481	36	2	prove	prove	VERB
ijassa-1481	36	3	useful	useful	ADJ
ijassa-1481	36	4	for	for	ADP
ijassa-1481	36	5	reasonably	reasonably	ADV
ijassa-1481	36	6	precise	precise	ADJ
ijassa-1481	36	7	projections	projection	NOUN
ijassa-1481	36	8	,	,	PUNCT
ijassa-1481	36	9	calculations	calculation	NOUN
ijassa-1481	36	10	,	,	PUNCT
ijassa-1481	36	11	design	design	NOUN
ijassa-1481	36	12	work	work	NOUN
ijassa-1481	36	13	,	,	PUNCT
ijassa-1481	36	14	and	and	CCONJ
ijassa-1481	36	15	simulations	simulation	NOUN
ijassa-1481	36	16	.	.	PUNCT
ijassa-1481	37	1	on	on	ADP
ijassa-1481	37	2	the	the	DET
ijassa-1481	37	3	other	other	ADJ
ijassa-1481	37	4	hand	hand	NOUN
ijassa-1481	37	5	,	,	PUNCT
ijassa-1481	37	6	the	the	DET
ijassa-1481	37	7	cluster	cluster	NOUN
ijassa-1481	37	8	of	of	ADP
ijassa-1481	37	9	survivability	survivability	NOUN
ijassa-1481	37	10	metrics	metric	NOUN
ijassa-1481	37	11	tends	tend	VERB
ijassa-1481	37	12	to	to	PART
ijassa-1481	37	13	convey	convey	VERB
ijassa-1481	37	14	a	a	DET
ijassa-1481	37	15	qualitative	qualitative	ADJ
ijassa-1481	37	16	perspective	perspective	NOUN
ijassa-1481	37	17	on	on	ADP
ijassa-1481	37	18	the	the	DET
ijassa-1481	37	19	behavior	behavior	NOUN
ijassa-1481	37	20	of	of	ADP
ijassa-1481	37	21	the	the	DET
ijassa-1481	37	22	examined	examine	VERB
ijassa-1481	37	23	cloud	cloud	NOUN
ijassa-1481	37	24	-	-	PUNCT
ijassa-1481	37	25	fog	fog	NOUN
ijassa-1481	37	26	system	system	NOUN
ijassa-1481	37	27	when	when	SCONJ
ijassa-1481	37	28	subjected	subject	VERB
ijassa-1481	37	29	to	to	ADP
ijassa-1481	37	30	external	external	ADJ
ijassa-1481	37	31	impacts	impact	NOUN
ijassa-1481	37	32	or	or	CCONJ
ijassa-1481	37	33	the	the	DET
ijassa-1481	37	34	sequential	sequential	ADJ
ijassa-1481	37	35	spread	spread	NOUN
ijassa-1481	37	36	of	of	ADP
ijassa-1481	37	37	failures	failure	NOUN
ijassa-1481	37	38	.	.	PUNCT
ijassa-1481	38	1	now	now	ADV
ijassa-1481	38	2	,	,	PUNCT
ijassa-1481	38	3	let	let	VERB
ijassa-1481	38	4	’s	’s	PRON
ijassa-1481	38	5	delve	delve	VERB
ijassa-1481	38	6	into	into	ADP
ijassa-1481	38	7	the	the	DET
ijassa-1481	38	8	primary	primary	ADJ
ijassa-1481	38	9	factors	factor	NOUN
ijassa-1481	38	10	that	that	PRON
ijassa-1481	38	11	impact	impact	NOUN
ijassa-1481	38	12	system	system	NOUN
ijassa-1481	38	13	reliability	reliability	NOUN
ijassa-1481	38	14	:	:	PUNCT
ijassa-1481	38	15	•	•	NUM
ijassa-1481	38	16	mistakes	mistake	NOUN
ijassa-1481	38	17	associated	associate	VERB
ijassa-1481	38	18	with	with	ADP
ijassa-1481	38	19	incorrect	incorrect	ADJ
ijassa-1481	38	20	technical	technical	ADJ
ijassa-1481	38	21	choices	choice	NOUN
ijassa-1481	38	22	when	when	SCONJ
ijassa-1481	38	23	designing	design	VERB
ijassa-1481	38	24	and	and	CCONJ
ijassa-1481	38	25	building	build	VERB
ijassa-1481	38	26	a	a	DET
ijassa-1481	38	27	cloud	cloud	ADJ
ijassa-1481	38	28	storage	storage	NOUN
ijassa-1481	38	29	system	system	NOUN
ijassa-1481	38	30	;	;	PUNCT
ijassa-1481	38	31	•	•	NUM
ijassa-1481	38	32	hard	hard	ADJ
ijassa-1481	38	33	disk	disk	NOUN
ijassa-1481	38	34	failures	failure	NOUN
ijassa-1481	38	35	;	;	PUNCT
ijassa-1481	38	36	•	•	NUM
ijassa-1481	38	37	technical	technical	ADJ
ijassa-1481	38	38	factors	factor	NOUN
ijassa-1481	38	39	,	,	PUNCT
ijassa-1481	38	40	factors	factor	NOUN
ijassa-1481	38	41	that	that	PRON
ijassa-1481	38	42	depend	depend	VERB
ijassa-1481	38	43	on	on	ADP
ijassa-1481	38	44	the	the	DET
ijassa-1481	38	45	structure	structure	NOUN
ijassa-1481	38	46	of	of	ADP
ijassa-1481	38	47	the	the	DET
ijassa-1481	38	48	object	object	NOUN
ijassa-1481	38	49	and	and	CCONJ
ijassa-1481	38	50	its	its	PRON
ijassa-1481	38	51	operating	operating	NOUN
ijassa-1481	38	52	modes	mode	NOUN
ijassa-1481	38	53	,	,	PUNCT
ijassa-1481	38	54	the	the	DET
ijassa-1481	38	55	use	use	NOUN
ijassa-1481	38	56	of	of	ADP
ijassa-1481	38	57	redundancy	redundancy	NOUN
ijassa-1481	38	58	,	,	PUNCT
ijassa-1481	38	59	the	the	DET
ijassa-1481	38	60	organization	organization	NOUN
ijassa-1481	38	61	of	of	ADP
ijassa-1481	38	62	control	control	NOUN
ijassa-1481	38	63	and	and	CCONJ
ijassa-1481	38	64	recovery	recovery	NOUN
ijassa-1481	38	65	after	after	ADP
ijassa-1481	38	66	failure	failure	NOUN
ijassa-1481	38	67	,	,	PUNCT
ijassa-1481	38	68	the	the	DET
ijassa-1481	38	69	characteristics	characteristic	NOUN
ijassa-1481	38	70	of	of	ADP
ijassa-1481	38	71	component	component	NOUN
ijassa-1481	38	72	elements	element	NOUN
ijassa-1481	38	73	,	,	PUNCT
ijassa-1481	38	74	the	the	DET
ijassa-1481	38	75	protection	protection	NOUN
ijassa-1481	38	76	of	of	ADP
ijassa-1481	38	77	elements	element	NOUN
ijassa-1481	38	78	from	from	ADP
ijassa-1481	38	79	adverse	adverse	ADJ
ijassa-1481	38	80	factors	factor	NOUN
ijassa-1481	38	81	,	,	PUNCT
ijassa-1481	38	82	the	the	DET
ijassa-1481	38	83	quality	quality	NOUN
ijassa-1481	38	84	of	of	ADP
ijassa-1481	38	85	technological	technological	ADJ
ijassa-1481	38	86	processes	process	NOUN
ijassa-1481	38	87	in	in	ADP
ijassa-1481	38	88	the	the	DET
ijassa-1481	38	89	manufacturing	manufacturing	NOUN
ijassa-1481	38	90	process	process	NOUN
ijassa-1481	38	91	,	,	PUNCT
ijassa-1481	38	92	the	the	DET
ijassa-1481	38	93	degree	degree	NOUN
ijassa-1481	38	94	of	of	ADP
ijassa-1481	38	95	adaptability	adaptability	NOUN
ijassa-1481	38	96	for	for	ADP
ijassa-1481	38	97	operation	operation	NOUN
ijassa-1481	38	98	;	;	PUNCT
ijassa-1481	38	99	•	•	NUM
ijassa-1481	38	100	program	program	NOUN
ijassa-1481	38	101	factors	factor	NOUN
ijassa-1481	38	102	depend	depend	VERB
ijassa-1481	38	103	on	on	ADP
ijassa-1481	38	104	the	the	DET
ijassa-1481	38	105	quality	quality	NOUN
ijassa-1481	38	106	of	of	ADP
ijassa-1481	38	107	microprocessor	microprocessor	NOUN
ijassa-1481	38	108	software	software	NOUN
ijassa-1481	38	109	development	development	NOUN
ijassa-1481	38	110	;	;	PUNCT
ijassa-1481	38	111	•	•	NUM
ijassa-1481	38	112	operational	operational	ADJ
ijassa-1481	38	113	factors	factor	NOUN
ijassa-1481	38	114	depend	depend	VERB
ijassa-1481	38	115	on	on	ADP
ijassa-1481	38	116	the	the	DET
ijassa-1481	38	117	external	external	ADJ
ijassa-1481	38	118	environment	environment	NOUN
ijassa-1481	38	119	surrounding	surround	VERB
ijassa-1481	38	120	the	the	DET
ijassa-1481	38	121	object	object	NOUN
ijassa-1481	38	122	during	during	ADP
ijassa-1481	38	123	operation	operation	NOUN
ijassa-1481	38	124	;	;	PUNCT
ijassa-1481	39	1	•	•	NUM
ijassa-1481	39	2	climatic	climatic	ADJ
ijassa-1481	39	3	factors	factor	NOUN
ijassa-1481	39	4	,	,	PUNCT
ijassa-1481	39	5	temperature	temperature	NOUN
ijassa-1481	39	6	,	,	PUNCT
ijassa-1481	39	7	humidity	humidity	NOUN
ijassa-1481	39	8	,	,	PUNCT
ijassa-1481	39	9	solar	solar	ADJ
ijassa-1481	39	10	radiation	radiation	NOUN
ijassa-1481	39	11	,	,	PUNCT
ijassa-1481	39	12	wind	wind	NOUN
ijassa-1481	39	13	loads	load	NOUN
ijassa-1481	39	14	,	,	PUNCT
ijassa-1481	39	15	etc	etc	X
ijassa-1481	39	16	.	.	X
ijassa-1481	39	17	;	;	PUNCT
ijassa-1481	39	18	•	•	NUM
ijassa-1481	39	19	the	the	DET
ijassa-1481	39	20	impact	impact	NOUN
ijassa-1481	39	21	of	of	ADP
ijassa-1481	39	22	maintenance	maintenance	NOUN
ijassa-1481	39	23	on	on	ADP
ijassa-1481	39	24	reliability	reliability	NOUN
ijassa-1481	39	25	is	be	AUX
ijassa-1481	39	26	determined	determine	VERB
ijassa-1481	39	27	by	by	ADP
ijassa-1481	39	28	the	the	DET
ijassa-1481	39	29	fact	fact	NOUN
ijassa-1481	39	30	that	that	SCONJ
ijassa-1481	39	31	facilities	facility	NOUN
ijassa-1481	39	32	are	be	AUX
ijassa-1481	39	33	often	often	ADV
ijassa-1481	39	34	automated	automate	VERB
ijassa-1481	39	35	rather	rather	ADV
ijassa-1481	39	36	than	than	ADP
ijassa-1481	39	37	automatic	automatic	ADJ
ijassa-1481	39	38	systems	system	NOUN
ijassa-1481	39	39	.	.	PUNCT
ijassa-1481	40	1	a	a	DET
ijassa-1481	40	2	human	human	ADJ
ijassa-1481	40	3	being	being	NOUN
ijassa-1481	40	4	is	be	AUX
ijassa-1481	40	5	a	a	DET
ijassa-1481	40	6	kind	kind	NOUN
ijassa-1481	40	7	of	of	ADP
ijassa-1481	40	8	link	link	NOUN
ijassa-1481	40	9	that	that	PRON
ijassa-1481	40	10	fits	fit	VERB
ijassa-1481	40	11	into	into	ADP
ijassa-1481	40	12	the	the	DET
ijassa-1481	40	13	structure	structure	NOUN
ijassa-1481	40	14	of	of	ADP
ijassa-1481	40	15	the	the	DET
ijassa-1481	40	16	system	system	NOUN
ijassa-1481	40	17	.	.	PUNCT
ijassa-1481	41	1	relationship	relationship	NOUN
ijassa-1481	41	2	between	between	ADP
ijassa-1481	41	3	man	man	NOUN
ijassa-1481	41	4	and	and	CCONJ
ijassa-1481	41	5	technology	technology	NOUN
ijassa-1481	41	6	.	.	PUNCT
ijassa-1481	42	1	with	with	ADP
ijassa-1481	42	2	the	the	DET
ijassa-1481	42	3	development	development	NOUN
ijassa-1481	42	4	of	of	ADP
ijassa-1481	42	5	technology	technology	NOUN
ijassa-1481	42	6	,	,	PUNCT
ijassa-1481	42	7	the	the	DET
ijassa-1481	42	8	complication	complication	NOUN
ijassa-1481	42	9	of	of	ADP
ijassa-1481	42	10	its	its	PRON
ijassa-1481	42	11	structure	structure	NOUN
ijassa-1481	42	12	,	,	PUNCT
ijassa-1481	42	13	the	the	DET
ijassa-1481	42	14	expansion	expansion	NOUN
ijassa-1481	42	15	of	of	ADP
ijassa-1481	42	16	its	its	PRON
ijassa-1481	42	17	functions	function	NOUN
ijassa-1481	42	18	,	,	PUNCT
ijassa-1481	42	19	the	the	DET
ijassa-1481	42	20	question	question	NOUN
ijassa-1481	42	21	of	of	ADP
ijassa-1481	42	22	the	the	DET
ijassa-1481	42	23	relationship	relationship	NOUN
ijassa-1481	42	24	between	between	ADP
ijassa-1481	42	25	man	man	NOUN
ijassa-1481	42	26	and	and	CCONJ
ijassa-1481	42	27	technology	technology	NOUN
ijassa-1481	42	28	is	be	AUX
ijassa-1481	42	29	becoming	become	VERB
ijassa-1481	42	30	more	more	ADV
ijassa-1481	42	31	and	and	CCONJ
ijassa-1481	42	32	more	more	ADV
ijassa-1481	42	33	acute	acute	ADJ
ijassa-1481	42	34	.	.	PUNCT
ijassa-1481	43	1	copyright	copyright	NOUN
ijassa-1481	43	2	©	©	PROPN
ijassa-1481	43	3	2024	2024	NUM
ijassa-1481	43	4	assa	assa	NOUN
ijassa-1481	43	5	.	.	PUNCT
ijassa-1481	44	1	adv	adv	PROPN
ijassa-1481	44	2	syst	syst	PROPN
ijassa-1481	44	3	sci	sci	PROPN
ijassa-1481	44	4	appl	appl	PROPN
ijassa-1481	44	5	(	(	PUNCT
ijassa-1481	44	6	2024	2024	NUM
ijassa-1481	44	7	)	)	PUNCT
ijassa-1481	44	8	168	168	NUM
ijassa-1481	44	9	n.	n.	NOUN
ijassa-1481	44	10	kucherov	kucherov	PROPN
ijassa-1481	44	11	,	,	PUNCT
ijassa-1481	44	12	m.	m.	NOUN
ijassa-1481	44	13	babenko	babenko	PROPN
ijassa-1481	44	14	,	,	PUNCT
ijassa-1481	44	15	e.	e.	PROPN
ijassa-1481	44	16	shiriaev	shiriaev	PROPN
ijassa-1481	44	17	,	,	PUNCT
ijassa-1481	44	18	n.v	n.v	PROPN
ijassa-1481	44	19	.	.	PROPN
ijassa-1481	44	20	hung	hang	VERB
ijassa-1481	44	21	the	the	DET
ijassa-1481	44	22	paper	paper	NOUN
ijassa-1481	44	23	is	be	AUX
ijassa-1481	44	24	further	far	ADV
ijassa-1481	44	25	organized	organize	VERB
ijassa-1481	44	26	as	as	SCONJ
ijassa-1481	44	27	follows	follow	VERB
ijassa-1481	44	28	.	.	PUNCT
ijassa-1481	45	1	section	section	NOUN
ijassa-1481	45	2	2	2	NUM
ijassa-1481	45	3	analyzes	analyze	VERB
ijassa-1481	45	4	the	the	DET
ijassa-1481	45	5	factors	factor	NOUN
ijassa-1481	45	6	affecting	affect	VERB
ijassa-1481	45	7	the	the	DET
ijassa-1481	45	8	reliability	reliability	NOUN
ijassa-1481	45	9	and	and	CCONJ
ijassa-1481	45	10	survivability	survivability	NOUN
ijassa-1481	45	11	of	of	ADP
ijassa-1481	45	12	control	control	NOUN
ijassa-1481	45	13	and	and	CCONJ
ijassa-1481	45	14	communication	communication	NOUN
ijassa-1481	45	15	systems	system	NOUN
ijassa-1481	45	16	.	.	PUNCT
ijassa-1481	46	1	in	in	ADP
ijassa-1481	46	2	section	section	NOUN
ijassa-1481	46	3	3	3	NUM
ijassa-1481	46	4	,	,	PUNCT
ijassa-1481	46	5	the	the	DET
ijassa-1481	46	6	types	type	NOUN
ijassa-1481	46	7	of	of	ADP
ijassa-1481	46	8	redundancy	redundancy	NOUN
ijassa-1481	46	9	and	and	CCONJ
ijassa-1481	46	10	redundancy	redundancy	NOUN
ijassa-1481	46	11	introduction	introduction	NOUN
ijassa-1481	46	12	in	in	ADP
ijassa-1481	46	13	rns	rn	NOUN
ijassa-1481	46	14	are	be	AUX
ijassa-1481	46	15	discussed	discuss	VERB
ijassa-1481	46	16	.	.	PUNCT
ijassa-1481	47	1	corrective	corrective	ADJ
ijassa-1481	47	2	capacity	capacity	NOUN
ijassa-1481	47	3	estimation	estimation	NOUN
ijassa-1481	47	4	and	and	CCONJ
ijassa-1481	47	5	error	error	NOUN
ijassa-1481	47	6	correction	correction	NOUN
ijassa-1481	47	7	algorithms	algorithm	NOUN
ijassa-1481	47	8	in	in	ADP
ijassa-1481	47	9	rns	rn	NOUN
ijassa-1481	47	10	are	be	AUX
ijassa-1481	47	11	given	give	VERB
ijassa-1481	47	12	.	.	PUNCT
ijassa-1481	48	1	section	section	NOUN
ijassa-1481	48	2	4	4	NUM
ijassa-1481	48	3	deals	deal	NOUN
ijassa-1481	48	4	with	with	ADP
ijassa-1481	48	5	structural	structural	ADJ
ijassa-1481	48	6	redundancy	redundancy	NOUN
ijassa-1481	48	7	in	in	ADP
ijassa-1481	48	8	cloud	cloud	ADJ
ijassa-1481	48	9	storage	storage	NOUN
ijassa-1481	48	10	systems	system	NOUN
ijassa-1481	48	11	.	.	PUNCT
ijassa-1481	49	1	section	section	NOUN
ijassa-1481	49	2	5	5	NUM
ijassa-1481	49	3	considers	consider	VERB
ijassa-1481	49	4	the	the	DET
ijassa-1481	49	5	reliability	reliability	NOUN
ijassa-1481	49	6	of	of	ADP
ijassa-1481	49	7	nonrepairable	nonrepairable	ADJ
ijassa-1481	49	8	redundant	redundant	ADJ
ijassa-1481	49	9	objects	object	NOUN
ijassa-1481	49	10	and	and	CCONJ
ijassa-1481	49	11	redundancy	redundancy	NOUN
ijassa-1481	49	12	methods	method	NOUN
ijassa-1481	49	13	.	.	PUNCT
ijassa-1481	50	1	section	section	NOUN
ijassa-1481	50	2	6	6	NUM
ijassa-1481	50	3	is	be	AUX
ijassa-1481	50	4	devoted	devote	VERB
ijassa-1481	50	5	to	to	ADP
ijassa-1481	50	6	the	the	DET
ijassa-1481	50	7	principles	principle	NOUN
ijassa-1481	50	8	of	of	ADP
ijassa-1481	50	9	fault	fault	NOUN
ijassa-1481	50	10	tolerant	tolerant	ADJ
ijassa-1481	50	11	cloud	cloud	NOUN
ijassa-1481	50	12	systems	system	NOUN
ijassa-1481	50	13	.	.	PUNCT
ijassa-1481	51	1	section	section	NOUN
ijassa-1481	51	2	7	7	NUM
ijassa-1481	51	3	gives	give	VERB
ijassa-1481	51	4	the	the	DET
ijassa-1481	51	5	structure	structure	NOUN
ijassa-1481	51	6	of	of	ADP
ijassa-1481	51	7	fault	fault	VERB
ijassa-1481	51	8	tolerant	tolerant	ADJ
ijassa-1481	51	9	storage	storage	NOUN
ijassa-1481	51	10	system	system	NOUN
ijassa-1481	51	11	in	in	ADP
ijassa-1481	51	12	cloud	cloud	PROPN
ijassa-1481	51	13	fog	fog	PROPN
ijassa-1481	51	14	environment	environment	PROPN
ijassa-1481	51	15	.	.	PUNCT
ijassa-1481	52	1	section	section	NOUN
ijassa-1481	52	2	8	8	NUM
ijassa-1481	52	3	deals	deal	NOUN
ijassa-1481	52	4	with	with	ADP
ijassa-1481	52	5	the	the	DET
ijassa-1481	52	6	structure	structure	NOUN
ijassa-1481	52	7	of	of	ADP
ijassa-1481	52	8	a	a	DET
ijassa-1481	52	9	fault	fault	NOUN
ijassa-1481	52	10	tolerant	tolerant	ADJ
ijassa-1481	52	11	data	datum	NOUN
ijassa-1481	52	12	processing	processing	NOUN
ijassa-1481	52	13	system	system	NOUN
ijassa-1481	52	14	in	in	ADP
ijassa-1481	52	15	fog	fog	PROPN
ijassa-1481	52	16	environment	environment	NOUN
ijassa-1481	52	17	.	.	PUNCT
ijassa-1481	53	1	section	section	NOUN
ijassa-1481	53	2	9	9	NUM
ijassa-1481	53	3	is	be	AUX
ijassa-1481	53	4	devoted	devote	VERB
ijassa-1481	53	5	to	to	ADP
ijassa-1481	53	6	the	the	DET
ijassa-1481	53	7	modeling	modeling	NOUN
ijassa-1481	53	8	of	of	ADP
ijassa-1481	53	9	the	the	DET
ijassa-1481	53	10	proposed	propose	VERB
ijassa-1481	53	11	system	system	NOUN
ijassa-1481	53	12	for	for	ADP
ijassa-1481	53	13	reliable	reliable	ADJ
ijassa-1481	53	14	data	datum	NOUN
ijassa-1481	53	15	storage	storage	NOUN
ijassa-1481	53	16	and	and	CCONJ
ijassa-1481	53	17	processing	processing	NOUN
ijassa-1481	53	18	in	in	ADP
ijassa-1481	53	19	fog	fog	NOUN
ijassa-1481	53	20	environment	environment	NOUN
ijassa-1481	53	21	and	and	CCONJ
ijassa-1481	53	22	the	the	DET
ijassa-1481	53	23	results	result	NOUN
ijassa-1481	53	24	obtained	obtain	VERB
ijassa-1481	53	25	are	be	AUX
ijassa-1481	53	26	described	describe	VERB
ijassa-1481	53	27	.	.	PUNCT
ijassa-1481	54	1	2	2	X
ijassa-1481	54	2	.	.	X
ijassa-1481	54	3	analysis	analysis	NOUN
ijassa-1481	54	4	of	of	ADP
ijassa-1481	54	5	factors	factor	NOUN
ijassa-1481	54	6	affecting	affect	VERB
ijassa-1481	54	7	reliability	reliability	NOUN
ijassa-1481	54	8	and	and	CCONJ
ijassa-1481	54	9	survivability	survivability	NOUN
ijassa-1481	54	10	of	of	ADP
ijassa-1481	54	11	control	control	NOUN
ijassa-1481	54	12	and	and	CCONJ
ijassa-1481	54	13	communication	communication	NOUN
ijassa-1481	54	14	systems	system	NOUN
ijassa-1481	54	15	the	the	DET
ijassa-1481	54	16	reliability	reliability	NOUN
ijassa-1481	54	17	of	of	ADP
ijassa-1481	54	18	both	both	CCONJ
ijassa-1481	54	19	cloud	cloud	ADJ
ijassa-1481	54	20	and	and	CCONJ
ijassa-1481	54	21	fog	fog	NOUN
ijassa-1481	54	22	storage	storage	NOUN
ijassa-1481	54	23	systems	system	NOUN
ijassa-1481	54	24	becomes	become	VERB
ijassa-1481	54	25	evident	evident	ADJ
ijassa-1481	54	26	through	through	ADP
ijassa-1481	54	27	instances	instance	NOUN
ijassa-1481	54	28	of	of	ADP
ijassa-1481	54	29	failures	failure	NOUN
ijassa-1481	54	30	.	.	PUNCT
ijassa-1481	55	1	the	the	DET
ijassa-1481	55	2	notion	notion	NOUN
ijassa-1481	55	3	of	of	ADP
ijassa-1481	55	4	failure	failure	NOUN
ijassa-1481	55	5	is	be	AUX
ijassa-1481	55	6	intricately	intricately	ADV
ijassa-1481	55	7	connected	connect	VERB
ijassa-1481	55	8	to	to	ADP
ijassa-1481	55	9	that	that	PRON
ijassa-1481	55	10	of	of	ADP
ijassa-1481	55	11	operability	operability	NOUN
ijassa-1481	55	12	.	.	PUNCT
ijassa-1481	56	1	operability	operability	NOUN
ijassa-1481	56	2	represents	represent	VERB
ijassa-1481	56	3	the	the	DET
ijassa-1481	56	4	condition	condition	NOUN
ijassa-1481	56	5	of	of	ADP
ijassa-1481	56	6	a	a	DET
ijassa-1481	56	7	system	system	NOUN
ijassa-1481	56	8	in	in	ADP
ijassa-1481	56	9	which	which	PRON
ijassa-1481	56	10	it	it	PRON
ijassa-1481	56	11	can	can	AUX
ijassa-1481	56	12	execute	execute	VERB
ijassa-1481	56	13	designated	designate	VERB
ijassa-1481	56	14	functions	function	NOUN
ijassa-1481	56	15	in	in	ADP
ijassa-1481	56	16	alignment	alignment	NOUN
ijassa-1481	56	17	with	with	ADP
ijassa-1481	56	18	specified	specified	ADJ
ijassa-1481	56	19	parameters	parameter	NOUN
ijassa-1481	56	20	and	and	CCONJ
ijassa-1481	56	21	the	the	DET
ijassa-1481	56	22	quality	quality	NOUN
ijassa-1481	56	23	demands	demand	NOUN
ijassa-1481	56	24	of	of	ADP
ijassa-1481	56	25	the	the	DET
ijassa-1481	56	26	services	service	NOUN
ijassa-1481	56	27	rendered	render	VERB
ijassa-1481	56	28	.	.	PUNCT
ijassa-1481	57	1	failure	failure	NOUN
ijassa-1481	57	2	constitutes	constitute	VERB
ijassa-1481	57	3	an	an	DET
ijassa-1481	57	4	arbitrary	arbitrary	ADJ
ijassa-1481	57	5	occurrence	occurrence	NOUN
ijassa-1481	57	6	characterized	characterize	VERB
ijassa-1481	57	7	by	by	ADP
ijassa-1481	57	8	the	the	DET
ijassa-1481	57	9	disruption	disruption	NOUN
ijassa-1481	57	10	of	of	ADP
ijassa-1481	57	11	the	the	DET
ijassa-1481	57	12	system	system	NOUN
ijassa-1481	57	13	’s	’s	PART
ijassa-1481	57	14	operability	operability	NOUN
ijassa-1481	57	15	.	.	PUNCT
ijassa-1481	58	1	failures	failure	NOUN
ijassa-1481	58	2	can	can	AUX
ijassa-1481	58	3	be	be	AUX
ijassa-1481	58	4	categorized	categorize	VERB
ijassa-1481	58	5	as	as	SCONJ
ijassa-1481	58	6	follows	follow	VERB
ijassa-1481	58	7	:	:	PUNCT
ijassa-1481	58	8	•	•	ADP
ijassa-1481	58	9	sudden	sudden	ADJ
ijassa-1481	58	10	–	–	PUNCT
ijassa-1481	58	11	system	system	NOUN
ijassa-1481	58	12	parameters	parameter	NOUN
ijassa-1481	58	13	change	change	VERB
ijassa-1481	58	14	instantly	instantly	ADV
ijassa-1481	58	15	;	;	PUNCT
ijassa-1481	58	16	•	•	X
ijassa-1481	58	17	gradual	gradual	ADJ
ijassa-1481	58	18	–	–	PUNCT
ijassa-1481	58	19	gradual	gradual	ADJ
ijassa-1481	58	20	change	change	NOUN
ijassa-1481	58	21	of	of	ADP
ijassa-1481	58	22	system	system	NOUN
ijassa-1481	58	23	parameters	parameter	NOUN
ijassa-1481	58	24	due	due	ADJ
ijassa-1481	58	25	to	to	PART
ijassa-1481	58	26	wear	wear	VERB
ijassa-1481	58	27	and	and	CCONJ
ijassa-1481	58	28	tear	tear	ADJ
ijassa-1481	58	29	or	or	CCONJ
ijassa-1481	58	30	aging	aging	NOUN
ijassa-1481	58	31	;	;	PUNCT
ijassa-1481	58	32	•	•	NUM
ijassa-1481	58	33	work	work	NOUN
ijassa-1481	58	34	-	-	PUNCT
ijassa-1481	58	35	in	in	ADP
ijassa-1481	58	36	-	-	PUNCT
ijassa-1481	58	37	progress	progress	NOUN
ijassa-1481	58	38	–	–	PUNCT
ijassa-1481	58	39	presence	presence	NOUN
ijassa-1481	58	40	of	of	ADP
ijassa-1481	58	41	defective	defective	ADJ
ijassa-1481	58	42	elements	element	NOUN
ijassa-1481	58	43	,	,	PUNCT
ijassa-1481	58	44	assembly	assembly	NOUN
ijassa-1481	58	45	and	and	CCONJ
ijassa-1481	58	46	installation	installation	NOUN
ijassa-1481	58	47	errors	error	NOUN
ijassa-1481	58	48	.	.	PUNCT
ijassa-1481	59	1	enhancing	enhance	VERB
ijassa-1481	59	2	the	the	DET
ijassa-1481	59	3	reliability	reliability	NOUN
ijassa-1481	59	4	of	of	ADP
ijassa-1481	59	5	cloud	cloud	NOUN
ijassa-1481	59	6	and	and	CCONJ
ijassa-1481	59	7	fog	fog	NOUN
ijassa-1481	59	8	systems	system	NOUN
ijassa-1481	59	9	can	can	AUX
ijassa-1481	59	10	be	be	AUX
ijassa-1481	59	11	achieved	achieve	VERB
ijassa-1481	59	12	through	through	ADP
ijassa-1481	59	13	the	the	DET
ijassa-1481	59	14	utilization	utilization	NOUN
ijassa-1481	59	15	of	of	ADP
ijassa-1481	59	16	mathematical	mathematical	ADJ
ijassa-1481	59	17	tools	tool	NOUN
ijassa-1481	59	18	,	,	PUNCT
ijassa-1481	59	19	standardization	standardization	NOUN
ijassa-1481	59	20	practices	practice	NOUN
ijassa-1481	59	21	,	,	PUNCT
ijassa-1481	59	22	load	load	NOUN
ijassa-1481	59	23	distribution	distribution	NOUN
ijassa-1481	59	24	techniques	technique	NOUN
ijassa-1481	59	25	,	,	PUNCT
ijassa-1481	59	26	safeguarding	safeguard	VERB
ijassa-1481	59	27	against	against	ADP
ijassa-1481	59	28	external	external	ADJ
ijassa-1481	59	29	influences	influence	NOUN
ijassa-1481	59	30	,	,	PUNCT
ijassa-1481	59	31	and	and	CCONJ
ijassa-1481	59	32	the	the	DET
ijassa-1481	59	33	strategic	strategic	ADJ
ijassa-1481	59	34	selection	selection	NOUN
ijassa-1481	59	35	of	of	ADP
ijassa-1481	59	36	data	datum	NOUN
ijassa-1481	59	37	storage	storage	NOUN
ijassa-1481	59	38	schemes	scheme	NOUN
ijassa-1481	59	39	[	[	X
ijassa-1481	59	40	6	6	NUM
ijassa-1481	59	41	]	]	PUNCT
ijassa-1481	59	42	.	.	PUNCT
ijassa-1481	60	1	if	if	SCONJ
ijassa-1481	60	2	the	the	DET
ijassa-1481	60	3	above	above	ADV
ijassa-1481	60	4	-	-	PUNCT
ijassa-1481	60	5	mentioned	mention	VERB
ijassa-1481	60	6	methods	method	NOUN
ijassa-1481	60	7	did	do	AUX
ijassa-1481	60	8	not	not	PART
ijassa-1481	60	9	give	give	VERB
ijassa-1481	60	10	the	the	DET
ijassa-1481	60	11	desired	desire	VERB
ijassa-1481	60	12	result	result	NOUN
ijassa-1481	60	13	,	,	PUNCT
ijassa-1481	60	14	then	then	ADV
ijassa-1481	60	15	redundancy	redundancy	NOUN
ijassa-1481	60	16	should	should	AUX
ijassa-1481	60	17	be	be	AUX
ijassa-1481	60	18	used	use	VERB
ijassa-1481	60	19	.	.	PUNCT
ijassa-1481	61	1	at	at	ADP
ijassa-1481	61	2	the	the	DET
ijassa-1481	61	3	stage	stage	NOUN
ijassa-1481	61	4	of	of	ADP
ijassa-1481	61	5	development	development	NOUN
ijassa-1481	61	6	of	of	ADP
ijassa-1481	61	7	models	model	NOUN
ijassa-1481	61	8	and	and	CCONJ
ijassa-1481	61	9	schemes	scheme	NOUN
ijassa-1481	61	10	of	of	ADP
ijassa-1481	61	11	data	datum	NOUN
ijassa-1481	61	12	storage	storage	VERB
ijassa-1481	61	13	the	the	DET
ijassa-1481	61	14	main	main	ADJ
ijassa-1481	61	15	reliability	reliability	NOUN
ijassa-1481	61	16	characteristics	characteristic	NOUN
ijassa-1481	61	17	of	of	ADP
ijassa-1481	61	18	the	the	DET
ijassa-1481	61	19	future	future	ADJ
ijassa-1481	61	20	system	system	NOUN
ijassa-1481	61	21	are	be	AUX
ijassa-1481	61	22	laid	lay	VERB
ijassa-1481	61	23	down	down	ADP
ijassa-1481	61	24	.	.	PUNCT
ijassa-1481	62	1	it	it	PRON
ijassa-1481	62	2	is	be	AUX
ijassa-1481	62	3	necessary	necessary	ADJ
ijassa-1481	62	4	to	to	PART
ijassa-1481	62	5	reasonably	reasonably	ADV
ijassa-1481	62	6	choose	choose	VERB
ijassa-1481	62	7	the	the	DET
ijassa-1481	62	8	mathematical	mathematical	ADJ
ijassa-1481	62	9	apparatus	apparatus	NOUN
ijassa-1481	62	10	,	,	PUNCT
ijassa-1481	62	11	the	the	DET
ijassa-1481	62	12	accuracy	accuracy	NOUN
ijassa-1481	62	13	of	of	ADP
ijassa-1481	62	14	the	the	DET
ijassa-1481	62	15	system	system	NOUN
ijassa-1481	62	16	,	,	PUNCT
ijassa-1481	62	17	redundancy	redundancy	NOUN
ijassa-1481	62	18	and	and	CCONJ
ijassa-1481	62	19	,	,	PUNCT
ijassa-1481	62	20	consequently	consequently	ADV
ijassa-1481	62	21	,	,	PUNCT
ijassa-1481	62	22	the	the	DET
ijassa-1481	62	23	optimal	optimal	ADJ
ijassa-1481	62	24	form	form	NOUN
ijassa-1481	62	25	of	of	ADP
ijassa-1481	62	26	data	datum	NOUN
ijassa-1481	62	27	representation	representation	NOUN
ijassa-1481	62	28	(	(	PUNCT
ijassa-1481	62	29	data	data	NOUN
ijassa-1481	62	30	packets	packet	NOUN
ijassa-1481	62	31	)	)	PUNCT
ijassa-1481	62	32	during	during	ADP
ijassa-1481	62	33	their	their	PRON
ijassa-1481	62	34	transmission	transmission	NOUN
ijassa-1481	62	35	and	and	CCONJ
ijassa-1481	62	36	processing	processing	NOUN
ijassa-1481	62	37	.	.	PUNCT
ijassa-1481	63	1	the	the	DET
ijassa-1481	63	2	choice	choice	NOUN
ijassa-1481	63	3	of	of	ADP
ijassa-1481	63	4	the	the	DET
ijassa-1481	63	5	number	number	NOUN
ijassa-1481	63	6	system	system	NOUN
ijassa-1481	63	7	essentially	essentially	ADV
ijassa-1481	63	8	and	and	CCONJ
ijassa-1481	63	9	determines	determine	VERB
ijassa-1481	63	10	the	the	DET
ijassa-1481	63	11	reliability	reliability	NOUN
ijassa-1481	63	12	model	model	NOUN
ijassa-1481	63	13	of	of	ADP
ijassa-1481	63	14	cloud	cloud	NOUN
ijassa-1481	63	15	storage	storage	NOUN
ijassa-1481	63	16	.	.	PUNCT
ijassa-1481	64	1	when	when	SCONJ
ijassa-1481	64	2	building	build	VERB
ijassa-1481	64	3	cloud	cloud	NOUN
ijassa-1481	64	4	storage	storage	NOUN
ijassa-1481	64	5	,	,	PUNCT
ijassa-1481	64	6	alternative	alternative	ADJ
ijassa-1481	64	7	non	non	ADJ
ijassa-1481	64	8	-	-	ADJ
ijassa-1481	64	9	positional	positional	ADJ
ijassa-1481	64	10	and	and	CCONJ
ijassa-1481	64	11	ad	ad	NOUN
ijassa-1481	64	12	hoc	hoc	X
ijassa-1481	64	13	number	number	NOUN
ijassa-1481	64	14	systems	system	NOUN
ijassa-1481	64	15	,	,	PUNCT
ijassa-1481	64	16	which	which	PRON
ijassa-1481	64	17	are	be	AUX
ijassa-1481	64	18	oriented	orient	VERB
ijassa-1481	64	19	to	to	PART
ijassa-1481	64	20	solve	solve	VERB
ijassa-1481	64	21	a	a	DET
ijassa-1481	64	22	wider	wide	ADJ
ijassa-1481	64	23	range	range	NOUN
ijassa-1481	64	24	of	of	ADP
ijassa-1481	64	25	problems	problem	NOUN
ijassa-1481	64	26	,	,	PUNCT
ijassa-1481	64	27	are	be	AUX
ijassa-1481	64	28	often	often	ADV
ijassa-1481	64	29	not	not	PART
ijassa-1481	64	30	considered	consider	VERB
ijassa-1481	64	31	.	.	PUNCT
ijassa-1481	65	1	in	in	ADP
ijassa-1481	65	2	addition	addition	NOUN
ijassa-1481	65	3	to	to	ADP
ijassa-1481	65	4	applying	apply	VERB
ijassa-1481	65	5	mathematical	mathematical	ADJ
ijassa-1481	65	6	approaches	approach	NOUN
ijassa-1481	65	7	to	to	PART
ijassa-1481	65	8	improve	improve	VERB
ijassa-1481	65	9	reliability	reliability	NOUN
ijassa-1481	65	10	and	and	CCONJ
ijassa-1481	65	11	survivability	survivability	NOUN
ijassa-1481	65	12	,	,	PUNCT
ijassa-1481	65	13	structural	structural	ADJ
ijassa-1481	65	14	approaches	approach	NOUN
ijassa-1481	65	15	are	be	AUX
ijassa-1481	65	16	also	also	ADV
ijassa-1481	65	17	used	use	VERB
ijassa-1481	65	18	,	,	PUNCT
ijassa-1481	65	19	which	which	PRON
ijassa-1481	65	20	consist	consist	VERB
ijassa-1481	65	21	in	in	ADP
ijassa-1481	65	22	improving	improve	VERB
ijassa-1481	65	23	reliability	reliability	NOUN
ijassa-1481	65	24	by	by	ADP
ijassa-1481	65	25	introducing	introduce	VERB
ijassa-1481	65	26	additional	additional	ADJ
ijassa-1481	65	27	redundancy	redundancy	NOUN
ijassa-1481	65	28	and	and	CCONJ
ijassa-1481	65	29	applying	apply	VERB
ijassa-1481	65	30	redundancy	redundancy	NOUN
ijassa-1481	65	31	.	.	PUNCT
ijassa-1481	66	1	the	the	DET
ijassa-1481	66	2	use	use	NOUN
ijassa-1481	66	3	of	of	ADP
ijassa-1481	66	4	information	information	NOUN
ijassa-1481	66	5	methods	method	NOUN
ijassa-1481	66	6	in	in	ADP
ijassa-1481	66	7	the	the	DET
ijassa-1481	66	8	form	form	NOUN
ijassa-1481	66	9	of	of	ADP
ijassa-1481	66	10	corrective	corrective	ADJ
ijassa-1481	66	11	codes	code	NOUN
ijassa-1481	66	12	can	can	AUX
ijassa-1481	66	13	improve	improve	VERB
ijassa-1481	66	14	the	the	DET
ijassa-1481	66	15	reliability	reliability	NOUN
ijassa-1481	66	16	and	and	CCONJ
ijassa-1481	66	17	survivability	survivability	NOUN
ijassa-1481	66	18	of	of	ADP
ijassa-1481	66	19	data	datum	NOUN
ijassa-1481	66	20	storage	storage	NOUN
ijassa-1481	66	21	systems	system	NOUN
ijassa-1481	66	22	.	.	PUNCT
ijassa-1481	67	1	let	let	VERB
ijassa-1481	67	2	’s	’s	PRON
ijassa-1481	67	3	examine	examine	VERB
ijassa-1481	67	4	the	the	DET
ijassa-1481	67	5	elements	element	NOUN
ijassa-1481	67	6	influencing	influence	VERB
ijassa-1481	67	7	the	the	DET
ijassa-1481	67	8	survivability	survivability	NOUN
ijassa-1481	67	9	of	of	ADP
ijassa-1481	67	10	cloud	cloud	NOUN
ijassa-1481	67	11	systems	system	NOUN
ijassa-1481	67	12	.	.	PUNCT
ijassa-1481	68	1	a	a	DET
ijassa-1481	68	2	notable	notable	ADJ
ijassa-1481	68	3	distinction	distinction	NOUN
ijassa-1481	68	4	between	between	ADP
ijassa-1481	68	5	evaluating	evaluate	VERB
ijassa-1481	68	6	survivability	survivability	NOUN
ijassa-1481	68	7	and	and	CCONJ
ijassa-1481	68	8	other	other	ADJ
ijassa-1481	68	9	comparable	comparable	ADJ
ijassa-1481	68	10	concerns	concern	NOUN
ijassa-1481	68	11	,	,	PUNCT
ijassa-1481	68	12	like	like	ADP
ijassa-1481	68	13	assessing	assess	VERB
ijassa-1481	68	14	reliability	reliability	NOUN
ijassa-1481	68	15	,	,	PUNCT
ijassa-1481	68	16	is	be	AUX
ijassa-1481	68	17	the	the	DET
ijassa-1481	68	18	general	general	ADJ
ijassa-1481	68	19	inability	inability	NOUN
ijassa-1481	68	20	to	to	PART
ijassa-1481	68	21	apply	apply	VERB
ijassa-1481	68	22	probability	probability	NOUN
ijassa-1481	68	23	concepts	concept	NOUN
ijassa-1481	68	24	for	for	ADP
ijassa-1481	68	25	the	the	DET
ijassa-1481	68	26	occurrence	occurrence	NOUN
ijassa-1481	68	27	of	of	ADP
ijassa-1481	68	28	specific	specific	ADJ
ijassa-1481	68	29	scenarios	scenario	NOUN
ijassa-1481	68	30	.	.	PUNCT
ijassa-1481	69	1	to	to	PART
ijassa-1481	69	2	enhance	enhance	VERB
ijassa-1481	69	3	survivability	survivability	NOUN
ijassa-1481	69	4	,	,	PUNCT
ijassa-1481	69	5	it	it	PRON
ijassa-1481	69	6	becomes	become	VERB
ijassa-1481	69	7	feasible	feasible	ADJ
ijassa-1481	69	8	to	to	PART
ijassa-1481	69	9	adopt	adopt	VERB
ijassa-1481	69	10	a	a	DET
ijassa-1481	69	11	numerical	numerical	ADJ
ijassa-1481	69	12	system	system	NOUN
ijassa-1481	69	13	where	where	SCONJ
ijassa-1481	69	14	the	the	DET
ijassa-1481	69	15	failure	failure	NOUN
ijassa-1481	69	16	of	of	ADP
ijassa-1481	69	17	a	a	DET
ijassa-1481	69	18	specific	specific	ADJ
ijassa-1481	69	19	component	component	NOUN
ijassa-1481	69	20	does	do	AUX
ijassa-1481	69	21	not	not	PART
ijassa-1481	69	22	result	result	VERB
ijassa-1481	69	23	in	in	ADP
ijassa-1481	69	24	the	the	DET
ijassa-1481	69	25	complete	complete	ADJ
ijassa-1481	69	26	cessation	cessation	NOUN
ijassa-1481	69	27	of	of	ADP
ijassa-1481	69	28	the	the	DET
ijassa-1481	69	29	entire	entire	ADJ
ijassa-1481	69	30	system	system	NOUN
ijassa-1481	69	31	’s	’s	PART
ijassa-1481	69	32	operation	operation	NOUN
ijassa-1481	69	33	.	.	PUNCT
ijassa-1481	70	1	it	it	PRON
ijassa-1481	70	2	should	should	AUX
ijassa-1481	70	3	be	be	AUX
ijassa-1481	70	4	borne	bear	VERB
ijassa-1481	70	5	in	in	ADP
ijassa-1481	70	6	mind	mind	NOUN
ijassa-1481	70	7	that	that	SCONJ
ijassa-1481	70	8	the	the	DET
ijassa-1481	70	9	number	number	NOUN
ijassa-1481	70	10	system	system	NOUN
ijassa-1481	70	11	significantly	significantly	ADV
ijassa-1481	70	12	affects	affect	VERB
ijassa-1481	70	13	the	the	DET
ijassa-1481	70	14	algorithms	algorithm	NOUN
ijassa-1481	70	15	of	of	ADP
ijassa-1481	70	16	operation	operation	NOUN
ijassa-1481	70	17	,	,	PUNCT
ijassa-1481	70	18	exchange	exchange	NOUN
ijassa-1481	70	19	protocols	protocol	NOUN
ijassa-1481	70	20	,	,	PUNCT
ijassa-1481	70	21	technical	technical	ADJ
ijassa-1481	70	22	characteristics	characteristic	NOUN
ijassa-1481	70	23	,	,	PUNCT
ijassa-1481	70	24	reliability	reliability	NOUN
ijassa-1481	70	25	and	and	CCONJ
ijassa-1481	70	26	survivability	survivability	NOUN
ijassa-1481	70	27	of	of	ADP
ijassa-1481	70	28	the	the	DET
ijassa-1481	70	29	data	data	NOUN
ijassa-1481	70	30	storage	storage	NOUN
ijassa-1481	70	31	system	system	NOUN
ijassa-1481	70	32	.	.	PUNCT
ijassa-1481	71	1	for	for	ADP
ijassa-1481	71	2	example	example	NOUN
ijassa-1481	71	3	,	,	PUNCT
ijassa-1481	71	4	the	the	DET
ijassa-1481	71	5	decimal	decimal	ADJ
ijassa-1481	71	6	number	number	NOUN
ijassa-1481	71	7	system	system	NOUN
ijassa-1481	71	8	is	be	AUX
ijassa-1481	71	9	irrational	irrational	ADJ
ijassa-1481	71	10	for	for	ADP
ijassa-1481	71	11	use	use	NOUN
ijassa-1481	71	12	in	in	ADP
ijassa-1481	71	13	computer	computer	NOUN
ijassa-1481	71	14	technology	technology	NOUN
ijassa-1481	71	15	,	,	PUNCT
ijassa-1481	71	16	but	but	CCONJ
ijassa-1481	71	17	is	be	AUX
ijassa-1481	71	18	optimal	optimal	ADJ
ijassa-1481	71	19	for	for	ADP
ijassa-1481	71	20	human	human	ADJ
ijassa-1481	71	21	perception	perception	NOUN
ijassa-1481	71	22	of	of	ADP
ijassa-1481	71	23	data	datum	NOUN
ijassa-1481	71	24	.	.	PUNCT
ijassa-1481	72	1	hence	hence	ADV
ijassa-1481	72	2	,	,	PUNCT
ijassa-1481	72	3	the	the	DET
ijassa-1481	72	4	significance	significance	NOUN
ijassa-1481	72	5	of	of	ADP
ijassa-1481	72	6	selecting	select	VERB
ijassa-1481	72	7	the	the	DET
ijassa-1481	72	8	operational	operational	ADJ
ijassa-1481	72	9	numbering	numbering	NOUN
ijassa-1481	72	10	system	system	NOUN
ijassa-1481	72	11	for	for	ADP
ijassa-1481	72	12	cloud	cloud	NOUN
ijassa-1481	72	13	storage	storage	NOUN
ijassa-1481	72	14	systems	system	NOUN
ijassa-1481	72	15	is	be	AUX
ijassa-1481	72	16	heightened	heighten	VERB
ijassa-1481	72	17	.	.	PUNCT
ijassa-1481	73	1	this	this	DET
ijassa-1481	73	2	choice	choice	NOUN
ijassa-1481	73	3	primarily	primarily	ADV
ijassa-1481	73	4	shapes	shape	VERB
ijassa-1481	73	5	the	the	DET
ijassa-1481	73	6	system	system	NOUN
ijassa-1481	73	7	’s	’s	PART
ijassa-1481	73	8	reliability	reliability	NOUN
ijassa-1481	73	9	model	model	NOUN
ijassa-1481	73	10	,	,	PUNCT
ijassa-1481	73	11	redundancy	redundancy	NOUN
ijassa-1481	73	12	methodology	methodology	NOUN
ijassa-1481	73	13	,	,	PUNCT
ijassa-1481	73	14	counteracting	counteract	VERB
ijassa-1481	73	15	cascading	cascade	VERB
ijassa-1481	73	16	failures	failure	NOUN
ijassa-1481	73	17	,	,	PUNCT
ijassa-1481	73	18	and	and	CCONJ
ijassa-1481	73	19	the	the	DET
ijassa-1481	73	20	mitigation	mitigation	NOUN
ijassa-1481	73	21	of	of	ADP
ijassa-1481	73	22	accumulating	accumulate	VERB
ijassa-1481	73	23	errors	error	NOUN
ijassa-1481	73	24	.	.	PUNCT
ijassa-1481	74	1	an	an	DET
ijassa-1481	74	2	intrinsic	intrinsic	ADJ
ijassa-1481	74	3	qualitative	qualitative	ADJ
ijassa-1481	74	4	measure	measure	NOUN
ijassa-1481	74	5	of	of	ADP
ijassa-1481	74	6	survivability	survivability	NOUN
ijassa-1481	74	7	is	be	AUX
ijassa-1481	74	8	the	the	DET
ijassa-1481	74	9	system	system	NOUN
ijassa-1481	74	10	’s	’s	PART
ijassa-1481	74	11	copyright	copyright	NOUN
ijassa-1481	74	12	©	©	PROPN
ijassa-1481	74	13	2024	2024	NUM
ijassa-1481	74	14	assa	assa	NOUN
ijassa-1481	74	15	.	.	PUNCT
ijassa-1481	75	1	adv	adv	PROPN
ijassa-1481	75	2	syst	syst	PROPN
ijassa-1481	75	3	sci	sci	PROPN
ijassa-1481	75	4	appl	appl	PROPN
ijassa-1481	75	5	(	(	PUNCT
ijassa-1481	75	6	2024	2024	NUM
ijassa-1481	75	7	)	)	PUNCT
ijassa-1481	75	8	data	datum	NOUN
ijassa-1481	75	9	storage	storage	NOUN
ijassa-1481	75	10	with	with	ADP
ijassa-1481	75	11	increased	increase	VERB
ijassa-1481	75	12	survivability	survivability	NOUN
ijassa-1481	75	13	and	and	CCONJ
ijassa-1481	75	14	reliability	reliability	NOUN
ijassa-1481	75	15	...	...	PUNCT
ijassa-1481	75	16	169	169	NUM
ijassa-1481	75	17	resilience	resilience	NOUN
ijassa-1481	75	18	,	,	PUNCT
ijassa-1481	75	19	denoted	denote	VERB
ijassa-1481	75	20	by	by	ADP
ijassa-1481	75	21	e	e	NOUN
ijassa-1481	75	22	survived	survive	VERB
ijassa-1481	75	23	,	,	PUNCT
ijassa-1481	75	24	subsequent	subsequent	ADJ
ijassa-1481	75	25	to	to	ADP
ijassa-1481	75	26	a	a	DET
ijassa-1481	75	27	predefined	predefine	VERB
ijassa-1481	75	28	series	series	NOUN
ijassa-1481	75	29	of	of	ADP
ijassa-1481	75	30	influences	influence	NOUN
ijassa-1481	75	31	.	.	PUNCT
ijassa-1481	76	1	for	for	ADP
ijassa-1481	76	2	cloud	cloud	NOUN
ijassa-1481	76	3	and	and	CCONJ
ijassa-1481	76	4	fog	fog	NOUN
ijassa-1481	76	5	systems	system	NOUN
ijassa-1481	76	6	,	,	PUNCT
ijassa-1481	76	7	the	the	DET
ijassa-1481	76	8	main	main	ADJ
ijassa-1481	76	9	reliability	reliability	NOUN
ijassa-1481	76	10	metrics	metric	NOUN
ijassa-1481	76	11	are	be	AUX
ijassa-1481	76	12	:	:	PUNCT
ijassa-1481	76	13	1	1	X
ijassa-1481	76	14	.	.	X
ijassa-1481	76	15	probability	probability	NOUN
ijassa-1481	76	16	of	of	ADP
ijassa-1481	76	17	uptime	uptime	ADJ
ijassa-1481	76	18	operation	operation	NOUN
ijassa-1481	76	19	in	in	ADP
ijassa-1481	76	20	the	the	DET
ijassa-1481	76	21	time	time	NOUN
ijassa-1481	76	22	interval	interval	NOUN
ijassa-1481	76	23	from	from	ADP
ijassa-1481	76	24	0	0	NUM
ijassa-1481	76	25	to	to	ADP
ijassa-1481	76	26	t0	t0	PROPN
ijassa-1481	76	27	p(t0	p(t0	PROPN
ijassa-1481	76	28	)	)	PUNCT
ijassa-1481	77	1	=	=	SYM
ijassa-1481	77	2	p(0	p(0	ADJ
ijassa-1481	77	3	;	;	PUNCT
ijassa-1481	77	4	t0	t0	NUM
ijassa-1481	77	5	)	)	PUNCT
ijassa-1481	78	1	=	=	SYM
ijassa-1481	78	2	p{ε	p{ε	NOUN
ijassa-1481	78	3	≥	≥	X
ijassa-1481	78	4	to	to	PART
ijassa-1481	78	5	]	]	PUNCT
ijassa-1481	78	6	=	=	SYM
ijassa-1481	78	7	1−	1−	NUM
ijassa-1481	78	8	f1(t0	f1(t0	NOUN
ijassa-1481	78	9	)	)	PUNCT
ijassa-1481	78	10	,	,	PUNCT
ijassa-1481	78	11	where	where	SCONJ
ijassa-1481	78	12	f1(t	f1(t	X
ijassa-1481	78	13	)	)	PUNCT
ijassa-1481	78	14	=	=	SYM
ijassa-1481	78	15	p[ε1	p[ε1	NOUN
ijassa-1481	78	16	≤	≤	PUNCT
ijassa-1481	78	17	t	t	PROPN
ijassa-1481	78	18	]	]	PUNCT
ijassa-1481	78	19	–	–	PUNCT
ijassa-1481	78	20	distribution	distribution	NOUN
ijassa-1481	78	21	of	of	ADP
ijassa-1481	78	22	failures	failure	NOUN
ijassa-1481	78	23	in	in	ADP
ijassa-1481	78	24	time	time	NOUN
ijassa-1481	78	25	to	to	ADP
ijassa-1481	78	26	first	first	ADJ
ijassa-1481	78	27	failure	failure	NOUN
ijassa-1481	78	28	;	;	PUNCT
ijassa-1481	78	29	2	2	X
ijassa-1481	78	30	.	.	X
ijassa-1481	78	31	probability	probability	NOUN
ijassa-1481	78	32	of	of	ADP
ijassa-1481	78	33	uptime	uptime	ADJ
ijassa-1481	78	34	operation	operation	NOUN
ijassa-1481	78	35	of	of	ADP
ijassa-1481	78	36	the	the	DET
ijassa-1481	78	37	object	object	NOUN
ijassa-1481	78	38	in	in	ADP
ijassa-1481	78	39	the	the	DET
ijassa-1481	78	40	time	time	NOUN
ijassa-1481	78	41	interval	interval	NOUN
ijassa-1481	78	42	from	from	ADP
ijassa-1481	78	43	t	t	PROPN
ijassa-1481	78	44	to	to	ADP
ijassa-1481	78	45	t+	t+	NOUN
ijassa-1481	78	46	t0	t0	PROPN
ijassa-1481	78	47	p(t	p(t	NOUN
ijassa-1481	78	48	,	,	PUNCT
ijassa-1481	78	49	t+	t+	NOUN
ijassa-1481	78	50	t0	t0	NOUN
ijassa-1481	78	51	)	)	PUNCT
ijassa-1481	78	52	=	=	SYM
ijassa-1481	78	53	p{ε1	p{ε1	NUM
ijassa-1481	78	54	≥	≥	NUM
ijassa-1481	78	55	t+	t+	VERB
ijassa-1481	78	56	t0|ε1	t0|ε1	NOUN
ijassa-1481	78	57	>	>	X
ijassa-1481	78	58	t	t	X
ijassa-1481	78	59	]	]	X
ijassa-1481	78	60	=	=	SYM
ijassa-1481	79	1	p(0	p(0	PROPN
ijassa-1481	79	2	,	,	PUNCT
ijassa-1481	79	3	t+	t+	ADJ
ijassa-1481	79	4	t0	t0	NOUN
ijassa-1481	79	5	)	)	PUNCT
ijassa-1481	79	6	p(0	p(0	PROPN
ijassa-1481	79	7	,	,	PUNCT
ijassa-1481	79	8	t	t	PROPN
ijassa-1481	79	9	)	)	PUNCT
ijassa-1481	79	10	=	=	SYM
ijassa-1481	79	11	p(t+	p(t+	NUM
ijassa-1481	79	12	t0	t0	PROPN
ijassa-1481	79	13	)	)	PUNCT
ijassa-1481	79	14	p(t	p(t	NOUN
ijassa-1481	79	15	)	)	PUNCT
ijassa-1481	79	16	;	;	PUNCT
ijassa-1481	79	17	3	3	X
ijassa-1481	79	18	.	.	X
ijassa-1481	79	19	failure	failure	NOUN
ijassa-1481	79	20	distribution	distribution	NOUN
ijassa-1481	79	21	density	density	NOUN
ijassa-1481	79	22	f(t	f(t	NOUN
ijassa-1481	79	23	)	)	PUNCT
ijassa-1481	79	24	=	=	SYM
ijassa-1481	80	1	d	d	NOUN
ijassa-1481	80	2	dt	dt	X
ijassa-1481	80	3	f	f	PROPN
ijassa-1481	80	4	(	(	PUNCT
ijassa-1481	80	5	t	t	PROPN
ijassa-1481	80	6	)	)	PUNCT
ijassa-1481	80	7	=	=	PUNCT
ijassa-1481	81	1	−	−	PROPN
ijassa-1481	81	2	d	d	X
ijassa-1481	81	3	dt	dt	NOUN
ijassa-1481	81	4	p(t	p(t	NOUN
ijassa-1481	81	5	)	)	PUNCT
ijassa-1481	81	6	;	;	PUNCT
ijassa-1481	81	7	4	4	X
ijassa-1481	81	8	.	.	X
ijassa-1481	81	9	intensity	intensity	NOUN
ijassa-1481	81	10	of	of	ADP
ijassa-1481	81	11	object	object	NOUN
ijassa-1481	81	12	failures	failure	NOUN
ijassa-1481	81	13	at	at	ADP
ijassa-1481	81	14	the	the	DET
ijassa-1481	81	15	moment	moment	NOUN
ijassa-1481	81	16	of	of	ADP
ijassa-1481	81	17	time	time	NOUN
ijassa-1481	81	18	µ(t	µ(t	ADJ
ijassa-1481	81	19	)	)	PUNCT
ijassa-1481	81	20	=	=	SYM
ijassa-1481	81	21	1	1	NUM
ijassa-1481	81	22	1−	1−	NUM
ijassa-1481	81	23	f	f	X
ijassa-1481	81	24	(	(	PUNCT
ijassa-1481	81	25	t	t	PROPN
ijassa-1481	81	26	)	)	PUNCT
ijassa-1481	81	27	·	·	PUNCT
ijassa-1481	82	1	d	d	X
ijassa-1481	82	2	dt	dt	X
ijassa-1481	82	3	f	f	X
ijassa-1481	82	4	(	(	PUNCT
ijassa-1481	82	5	t	t	PROPN
ijassa-1481	82	6	)	)	PUNCT
ijassa-1481	82	7	;	;	PUNCT
ijassa-1481	82	8	5	5	X
ijassa-1481	82	9	.	.	X
ijassa-1481	82	10	average	average	ADJ
ijassa-1481	82	11	time	time	NOUN
ijassa-1481	82	12	to	to	ADP
ijassa-1481	82	13	failure	failure	NOUN
ijassa-1481	82	14	ti	ti	NOUN
ijassa-1481	82	15	=	=	SYM
ijassa-1481	82	16	m(ε1	m(ε1	PROPN
ijassa-1481	82	17	)	)	PUNCT
ijassa-1481	82	18	=	=	SYM
ijassa-1481	83	1	∫	∫	PROPN
ijassa-1481	83	2	∞	∞	PROPN
ijassa-1481	83	3	0	0	NUM
ijassa-1481	84	1	xdq(x	xdq(x	PROPN
ijassa-1481	84	2	)	)	PUNCT
ijassa-1481	85	1	=	=	SYM
ijassa-1481	86	1	∫	∫	PROPN
ijassa-1481	87	1	∞	∞	NOUN
ijassa-1481	87	2	0	0	X
ijassa-1481	88	1	p(x)dx	p(x)dx	NOUN
ijassa-1481	88	2	.	.	PUNCT
ijassa-1481	89	1	presently	presently	ADV
ijassa-1481	89	2	,	,	PUNCT
ijassa-1481	89	3	the	the	DET
ijassa-1481	89	4	primary	primary	ADJ
ijassa-1481	89	5	pragmatic	pragmatic	ADJ
ijassa-1481	89	6	approach	approach	NOUN
ijassa-1481	89	7	to	to	PART
ijassa-1481	89	8	enhance	enhance	VERB
ijassa-1481	89	9	the	the	DET
ijassa-1481	89	10	dependability	dependability	NOUN
ijassa-1481	89	11	and	and	CCONJ
ijassa-1481	89	12	survivability	survivability	NOUN
ijassa-1481	89	13	of	of	ADP
ijassa-1481	89	14	storage	storage	NOUN
ijassa-1481	89	15	systems	system	NOUN
ijassa-1481	89	16	involves	involve	VERB
ijassa-1481	89	17	the	the	DET
ijassa-1481	89	18	implementation	implementation	NOUN
ijassa-1481	89	19	of	of	ADP
ijassa-1481	89	20	redundancy	redundancy	NOUN
ijassa-1481	89	21	and	and	CCONJ
ijassa-1481	89	22	error	error	NOUN
ijassa-1481	89	23	correction	correction	NOUN
ijassa-1481	89	24	codes	code	NOUN
ijassa-1481	89	25	.	.	PUNCT
ijassa-1481	90	1	redundancy	redundancy	NOUN
ijassa-1481	90	2	entails	entail	VERB
ijassa-1481	90	3	augmenting	augment	VERB
ijassa-1481	90	4	the	the	DET
ijassa-1481	90	5	reliability	reliability	NOUN
ijassa-1481	90	6	of	of	ADP
ijassa-1481	90	7	a	a	DET
ijassa-1481	90	8	cloud	cloud	NOUN
ijassa-1481	90	9	system	system	NOUN
ijassa-1481	90	10	by	by	ADP
ijassa-1481	90	11	incorporating	incorporate	VERB
ijassa-1481	90	12	supplementary	supplementary	ADJ
ijassa-1481	90	13	clouds	cloud	NOUN
ijassa-1481	90	14	beyond	beyond	ADP
ijassa-1481	90	15	the	the	DET
ijassa-1481	90	16	minimum	minimum	NOUN
ijassa-1481	90	17	necessary	necessary	ADJ
ijassa-1481	90	18	for	for	ADP
ijassa-1481	90	19	the	the	DET
ijassa-1481	90	20	system	system	NOUN
ijassa-1481	90	21	’s	’s	PART
ijassa-1481	90	22	regular	regular	ADJ
ijassa-1481	90	23	functioning	functioning	NOUN
ijassa-1481	90	24	.	.	PUNCT
ijassa-1481	91	1	the	the	DET
ijassa-1481	91	2	main	main	ADJ
ijassa-1481	91	3	types	type	NOUN
ijassa-1481	91	4	of	of	ADP
ijassa-1481	91	5	reservations	reservation	NOUN
ijassa-1481	91	6	:	:	PUNCT
ijassa-1481	91	7	•	•	NUM
ijassa-1481	91	8	time	time	NOUN
ijassa-1481	91	9	redundancy	redundancy	NOUN
ijassa-1481	91	10	–	–	PUNCT
ijassa-1481	91	11	utilizing	utilize	VERB
ijassa-1481	91	12	excess	excess	ADJ
ijassa-1481	91	13	time	time	NOUN
ijassa-1481	91	14	to	to	PART
ijassa-1481	91	15	accomplish	accomplish	VERB
ijassa-1481	91	16	tasks	task	NOUN
ijassa-1481	91	17	;	;	PUNCT
ijassa-1481	91	18	•	•	NUM
ijassa-1481	91	19	functional	functional	ADJ
ijassa-1481	91	20	redundancy	redundancy	NOUN
ijassa-1481	91	21	–	–	PUNCT
ijassa-1481	91	22	the	the	DET
ijassa-1481	91	23	use	use	NOUN
ijassa-1481	91	24	of	of	ADP
ijassa-1481	91	25	additional	additional	ADJ
ijassa-1481	91	26	elements	element	NOUN
ijassa-1481	91	27	with	with	SCONJ
ijassa-1481	91	28	which	which	DET
ijassa-1481	91	29	functions	function	NOUN
ijassa-1481	91	30	can	can	AUX
ijassa-1481	91	31	be	be	AUX
ijassa-1481	91	32	performed	perform	VERB
ijassa-1481	91	33	autonomously	autonomously	ADV
ijassa-1481	91	34	;	;	PUNCT
ijassa-1481	91	35	•	•	NUM
ijassa-1481	91	36	structural	structural	ADJ
ijassa-1481	91	37	redundancy	redundancy	NOUN
ijassa-1481	91	38	–	–	PUNCT
ijassa-1481	91	39	a	a	DET
ijassa-1481	91	40	method	method	NOUN
ijassa-1481	91	41	of	of	ADP
ijassa-1481	91	42	increasing	increase	VERB
ijassa-1481	91	43	reliability	reliability	NOUN
ijassa-1481	91	44	by	by	ADP
ijassa-1481	91	45	introducing	introduce	VERB
ijassa-1481	91	46	additional	additional	ADJ
ijassa-1481	91	47	redundant	redundant	ADJ
ijassa-1481	91	48	elements	element	NOUN
ijassa-1481	91	49	included	include	VERB
ijassa-1481	91	50	in	in	ADP
ijassa-1481	91	51	the	the	DET
ijassa-1481	91	52	overall	overall	ADJ
ijassa-1481	91	53	system	system	NOUN
ijassa-1481	91	54	structure	structure	NOUN
ijassa-1481	91	55	;	;	PUNCT
ijassa-1481	91	56	•	•	NUM
ijassa-1481	91	57	information	information	NOUN
ijassa-1481	91	58	redundancy	redundancy	NOUN
ijassa-1481	91	59	–	–	PUNCT
ijassa-1481	91	60	improving	improve	VERB
ijassa-1481	91	61	reliability	reliability	NOUN
ijassa-1481	91	62	by	by	ADP
ijassa-1481	91	63	storing	store	VERB
ijassa-1481	91	64	multiple	multiple	ADJ
ijassa-1481	91	65	copies	copy	NOUN
ijassa-1481	91	66	of	of	ADP
ijassa-1481	91	67	data	datum	NOUN
ijassa-1481	91	68	.	.	PUNCT
ijassa-1481	92	1	optimal	optimal	ADJ
ijassa-1481	92	2	stability	stability	NOUN
ijassa-1481	92	3	,	,	PUNCT
ijassa-1481	92	4	reliability	reliability	NOUN
ijassa-1481	92	5	,	,	PUNCT
ijassa-1481	92	6	and	and	CCONJ
ijassa-1481	92	7	survivability	survivability	NOUN
ijassa-1481	92	8	emerge	emerge	VERB
ijassa-1481	92	9	when	when	SCONJ
ijassa-1481	92	10	a	a	DET
ijassa-1481	92	11	system	system	NOUN
ijassa-1481	92	12	seamlessly	seamlessly	ADV
ijassa-1481	92	13	integrates	integrate	VERB
ijassa-1481	92	14	and	and	CCONJ
ijassa-1481	92	15	interweaves	interweave	VERB
ijassa-1481	92	16	these	these	DET
ijassa-1481	92	17	methods	method	NOUN
ijassa-1481	92	18	.	.	PUNCT
ijassa-1481	93	1	this	this	DET
ijassa-1481	93	2	state	state	NOUN
ijassa-1481	93	3	is	be	AUX
ijassa-1481	93	4	exemplified	exemplify	VERB
ijassa-1481	93	5	by	by	ADP
ijassa-1481	93	6	the	the	DET
ijassa-1481	93	7	residue	residue	NOUN
ijassa-1481	93	8	number	number	NOUN
ijassa-1481	93	9	system	system	NOUN
ijassa-1481	93	10	(	(	PUNCT
ijassa-1481	93	11	rns	rns	PROPN
ijassa-1481	93	12	)	)	PUNCT
ijassa-1481	93	13	,	,	PUNCT
ijassa-1481	93	14	which	which	PRON
ijassa-1481	93	15	encompasses	encompass	VERB
ijassa-1481	93	16	these	these	DET
ijassa-1481	93	17	attributes	attribute	NOUN
ijassa-1481	93	18	.	.	PUNCT
ijassa-1481	94	1	when	when	SCONJ
ijassa-1481	94	2	constructing	construct	VERB
ijassa-1481	94	3	cloud	cloud	NOUN
ijassa-1481	94	4	storage	storage	NOUN
ijassa-1481	94	5	systems	system	NOUN
ijassa-1481	94	6	utilizing	utilize	VERB
ijassa-1481	94	7	rns	rn	NOUN
ijassa-1481	94	8	,	,	PUNCT
ijassa-1481	94	9	a	a	DET
ijassa-1481	94	10	blend	blend	NOUN
ijassa-1481	94	11	of	of	ADP
ijassa-1481	94	12	redundant	redundant	ADJ
ijassa-1481	94	13	and	and	CCONJ
ijassa-1481	94	14	operational	operational	ADJ
ijassa-1481	94	15	clouds	cloud	NOUN
ijassa-1481	94	16	will	will	AUX
ijassa-1481	94	17	be	be	AUX
ijassa-1481	94	18	present	present	ADJ
ijassa-1481	94	19	(	(	PUNCT
ijassa-1481	94	20	for	for	ADP
ijassa-1481	94	21	each	each	DET
ijassa-1481	94	22	rns	rn	NOUN
ijassa-1481	94	23	base	base	NOUN
ijassa-1481	94	24	)	)	PUNCT
ijassa-1481	94	25	,	,	PUNCT
ijassa-1481	94	26	facilitating	facilitate	VERB
ijassa-1481	94	27	the	the	DET
ijassa-1481	94	28	harmonious	harmonious	ADJ
ijassa-1481	94	29	incorporation	incorporation	NOUN
ijassa-1481	94	30	of	of	ADP
ijassa-1481	94	31	the	the	DET
ijassa-1481	94	32	various	various	ADJ
ijassa-1481	94	33	redundancy	redundancy	NOUN
ijassa-1481	94	34	strategies	strategy	NOUN
ijassa-1481	94	35	outlined	outline	VERB
ijassa-1481	94	36	earlier	early	ADV
ijassa-1481	94	37	.	.	PUNCT
ijassa-1481	95	1	3	3	X
ijassa-1481	95	2	.	.	X
ijassa-1481	95	3	information	information	NOUN
ijassa-1481	95	4	redundancy	redundancy	NOUN
ijassa-1481	95	5	in	in	ADP
ijassa-1481	95	6	cloud	cloud	ADJ
ijassa-1481	95	7	storage	storage	NOUN
ijassa-1481	95	8	systems	system	NOUN
ijassa-1481	95	9	information	information	NOUN
ijassa-1481	95	10	redundancy	redundancy	NOUN
ijassa-1481	95	11	is	be	AUX
ijassa-1481	95	12	one	one	NUM
ijassa-1481	95	13	of	of	ADP
ijassa-1481	95	14	the	the	DET
ijassa-1481	95	15	main	main	ADJ
ijassa-1481	95	16	types	type	NOUN
ijassa-1481	95	17	of	of	ADP
ijassa-1481	95	18	redundancy	redundancy	NOUN
ijassa-1481	95	19	that	that	PRON
ijassa-1481	95	20	is	be	AUX
ijassa-1481	95	21	used	use	VERB
ijassa-1481	95	22	to	to	PART
ijassa-1481	95	23	ensure	ensure	VERB
ijassa-1481	95	24	the	the	DET
ijassa-1481	95	25	reliability	reliability	NOUN
ijassa-1481	95	26	and	and	CCONJ
ijassa-1481	95	27	availability	availability	NOUN
ijassa-1481	95	28	of	of	ADP
ijassa-1481	95	29	information	information	NOUN
ijassa-1481	95	30	.	.	PUNCT
ijassa-1481	96	1	it	it	PRON
ijassa-1481	96	2	is	be	AUX
ijassa-1481	96	3	the	the	DET
ijassa-1481	96	4	process	process	NOUN
ijassa-1481	96	5	of	of	ADP
ijassa-1481	96	6	backing	back	VERB
ijassa-1481	96	7	up	up	ADP
ijassa-1481	96	8	data	datum	NOUN
ijassa-1481	96	9	in	in	ADP
ijassa-1481	96	10	order	order	NOUN
ijassa-1481	96	11	to	to	PART
ijassa-1481	96	12	restore	restore	VERB
ijassa-1481	96	13	it	it	PRON
ijassa-1481	96	14	in	in	ADP
ijassa-1481	96	15	case	case	NOUN
ijassa-1481	96	16	of	of	ADP
ijassa-1481	96	17	data	datum	NOUN
ijassa-1481	96	18	loss	loss	NOUN
ijassa-1481	96	19	or	or	CCONJ
ijassa-1481	96	20	corruption	corruption	NOUN
ijassa-1481	96	21	[	[	X
ijassa-1481	96	22	7	7	NUM
ijassa-1481	96	23	,	,	PUNCT
ijassa-1481	96	24	8	8	NUM
ijassa-1481	96	25	]	]	PUNCT
ijassa-1481	96	26	.	.	PUNCT
ijassa-1481	97	1	the	the	DET
ijassa-1481	97	2	main	main	ADJ
ijassa-1481	97	3	task	task	NOUN
ijassa-1481	97	4	of	of	ADP
ijassa-1481	97	5	information	information	NOUN
ijassa-1481	97	6	redundancy	redundancy	NOUN
ijassa-1481	97	7	is	be	AUX
ijassa-1481	97	8	to	to	PART
ijassa-1481	97	9	guarantee	guarantee	VERB
ijassa-1481	97	10	the	the	DET
ijassa-1481	97	11	safety	safety	NOUN
ijassa-1481	97	12	of	of	ADP
ijassa-1481	97	13	data	datum	NOUN
ijassa-1481	97	14	in	in	ADP
ijassa-1481	97	15	case	case	NOUN
ijassa-1481	97	16	of	of	ADP
ijassa-1481	97	17	equipment	equipment	NOUN
ijassa-1481	97	18	failure	failure	NOUN
ijassa-1481	97	19	,	,	PUNCT
ijassa-1481	97	20	operator	operator	NOUN
ijassa-1481	97	21	errors	error	NOUN
ijassa-1481	97	22	,	,	PUNCT
ijassa-1481	97	23	natural	natural	ADJ
ijassa-1481	97	24	disasters	disaster	NOUN
ijassa-1481	97	25	or	or	CCONJ
ijassa-1481	97	26	other	other	ADJ
ijassa-1481	97	27	unforeseen	unforeseen	ADJ
ijassa-1481	97	28	circumstances	circumstance	NOUN
ijassa-1481	97	29	.	.	PUNCT
ijassa-1481	98	1	copyright	copyright	NOUN
ijassa-1481	98	2	©	©	PROPN
ijassa-1481	98	3	2024	2024	NUM
ijassa-1481	98	4	assa	assa	NOUN
ijassa-1481	98	5	.	.	PUNCT
ijassa-1481	99	1	adv	adv	PROPN
ijassa-1481	99	2	syst	syst	PROPN
ijassa-1481	99	3	sci	sci	PROPN
ijassa-1481	99	4	appl	appl	PROPN
ijassa-1481	99	5	(	(	PUNCT
ijassa-1481	99	6	2024	2024	NUM
ijassa-1481	99	7	)	)	PUNCT
ijassa-1481	99	8	170	170	NUM
ijassa-1481	99	9	n.	n.	NOUN
ijassa-1481	99	10	kucherov	kucherov	PROPN
ijassa-1481	99	11	,	,	PUNCT
ijassa-1481	99	12	m.	m.	NOUN
ijassa-1481	99	13	babenko	babenko	PROPN
ijassa-1481	99	14	,	,	PUNCT
ijassa-1481	99	15	e.	e.	PROPN
ijassa-1481	99	16	shiriaev	shiriaev	PROPN
ijassa-1481	99	17	,	,	PUNCT
ijassa-1481	99	18	n.v	n.v	PROPN
ijassa-1481	99	19	.	.	PROPN
ijassa-1481	99	20	hung	hang	VERB
ijassa-1481	99	21	there	there	PRON
ijassa-1481	99	22	are	be	VERB
ijassa-1481	99	23	various	various	ADJ
ijassa-1481	99	24	methods	method	NOUN
ijassa-1481	99	25	of	of	ADP
ijassa-1481	99	26	information	information	NOUN
ijassa-1481	99	27	redundancy	redundancy	NOUN
ijassa-1481	99	28	,	,	PUNCT
ijassa-1481	99	29	including	include	VERB
ijassa-1481	99	30	.	.	PUNCT
ijassa-1481	100	1	full	full	ADJ
ijassa-1481	100	2	backup	backup	NOUN
ijassa-1481	100	3	.	.	PUNCT
ijassa-1481	101	1	with	with	ADP
ijassa-1481	101	2	this	this	DET
ijassa-1481	101	3	method	method	NOUN
ijassa-1481	101	4	,	,	PUNCT
ijassa-1481	101	5	a	a	DET
ijassa-1481	101	6	complete	complete	ADJ
ijassa-1481	101	7	copy	copy	NOUN
ijassa-1481	101	8	of	of	ADP
ijassa-1481	101	9	all	all	DET
ijassa-1481	101	10	data	datum	NOUN
ijassa-1481	101	11	is	be	AUX
ijassa-1481	101	12	made	make	VERB
ijassa-1481	101	13	,	,	PUNCT
ijassa-1481	101	14	which	which	PRON
ijassa-1481	101	15	requires	require	VERB
ijassa-1481	101	16	a	a	DET
ijassa-1481	101	17	large	large	ADJ
ijassa-1481	101	18	amount	amount	NOUN
ijassa-1481	101	19	of	of	ADP
ijassa-1481	101	20	disk	disk	NOUN
ijassa-1481	101	21	space	space	NOUN
ijassa-1481	101	22	and	and	CCONJ
ijassa-1481	101	23	time	time	NOUN
ijassa-1481	101	24	to	to	PART
ijassa-1481	101	25	create	create	VERB
ijassa-1481	101	26	a	a	DET
ijassa-1481	101	27	backup	backup	NOUN
ijassa-1481	101	28	.	.	PUNCT
ijassa-1481	102	1	however	however	ADV
ijassa-1481	102	2	,	,	PUNCT
ijassa-1481	102	3	data	datum	NOUN
ijassa-1481	102	4	recovery	recovery	NOUN
ijassa-1481	102	5	after	after	SCONJ
ijassa-1481	102	6	a	a	DET
ijassa-1481	102	7	failure	failure	NOUN
ijassa-1481	102	8	is	be	AUX
ijassa-1481	102	9	fast	fast	ADJ
ijassa-1481	102	10	and	and	CCONJ
ijassa-1481	102	11	easy	easy	ADJ
ijassa-1481	102	12	.	.	PUNCT
ijassa-1481	103	1	incremental	incremental	ADJ
ijassa-1481	103	2	backup	backup	NOUN
ijassa-1481	103	3	.	.	PUNCT
ijassa-1481	104	1	this	this	DET
ijassa-1481	104	2	method	method	NOUN
ijassa-1481	104	3	creates	create	VERB
ijassa-1481	104	4	a	a	DET
ijassa-1481	104	5	copy	copy	NOUN
ijassa-1481	104	6	of	of	ADP
ijassa-1481	104	7	only	only	ADV
ijassa-1481	104	8	the	the	DET
ijassa-1481	104	9	changed	change	VERB
ijassa-1481	104	10	data	datum	NOUN
ijassa-1481	104	11	since	since	SCONJ
ijassa-1481	104	12	the	the	DET
ijassa-1481	104	13	last	last	ADJ
ijassa-1481	104	14	full	full	ADJ
ijassa-1481	104	15	or	or	CCONJ
ijassa-1481	104	16	incremental	incremental	ADJ
ijassa-1481	104	17	backup	backup	NOUN
ijassa-1481	104	18	.	.	PUNCT
ijassa-1481	105	1	this	this	DET
ijassa-1481	105	2	method	method	NOUN
ijassa-1481	105	3	reduces	reduce	VERB
ijassa-1481	105	4	the	the	DET
ijassa-1481	105	5	size	size	NOUN
ijassa-1481	105	6	of	of	ADP
ijassa-1481	105	7	backups	backup	NOUN
ijassa-1481	105	8	and	and	CCONJ
ijassa-1481	105	9	backup	backup	ADJ
ijassa-1481	105	10	creation	creation	NOUN
ijassa-1481	105	11	time	time	NOUN
ijassa-1481	105	12	,	,	PUNCT
ijassa-1481	105	13	but	but	CCONJ
ijassa-1481	105	14	restoring	restore	VERB
ijassa-1481	105	15	data	datum	NOUN
ijassa-1481	105	16	may	may	AUX
ijassa-1481	105	17	take	take	VERB
ijassa-1481	105	18	longer	long	ADV
ijassa-1481	105	19	and	and	CCONJ
ijassa-1481	105	20	require	require	VERB
ijassa-1481	105	21	more	more	ADJ
ijassa-1481	105	22	complex	complex	ADJ
ijassa-1481	105	23	procedures	procedure	NOUN
ijassa-1481	105	24	.	.	PUNCT
ijassa-1481	106	1	differential	differential	PROPN
ijassa-1481	106	2	backup	backup	PROPN
ijassa-1481	106	3	.	.	PUNCT
ijassa-1481	107	1	this	this	DET
ijassa-1481	107	2	method	method	NOUN
ijassa-1481	107	3	copies	copy	VERB
ijassa-1481	107	4	only	only	ADV
ijassa-1481	107	5	the	the	DET
ijassa-1481	107	6	changed	change	VERB
ijassa-1481	107	7	data	datum	NOUN
ijassa-1481	107	8	since	since	SCONJ
ijassa-1481	107	9	the	the	DET
ijassa-1481	107	10	last	last	ADJ
ijassa-1481	107	11	full	full	ADJ
ijassa-1481	107	12	backup	backup	NOUN
ijassa-1481	107	13	.	.	PUNCT
ijassa-1481	108	1	the	the	DET
ijassa-1481	108	2	difference	difference	NOUN
ijassa-1481	108	3	from	from	ADP
ijassa-1481	108	4	the	the	DET
ijassa-1481	108	5	incremental	incremental	ADJ
ijassa-1481	108	6	method	method	NOUN
ijassa-1481	108	7	is	be	AUX
ijassa-1481	108	8	that	that	SCONJ
ijassa-1481	108	9	the	the	DET
ijassa-1481	108	10	differential	differential	ADJ
ijassa-1481	108	11	backup	backup	NOUN
ijassa-1481	108	12	contains	contain	VERB
ijassa-1481	108	13	only	only	ADJ
ijassa-1481	108	14	changes	change	NOUN
ijassa-1481	108	15	since	since	SCONJ
ijassa-1481	108	16	the	the	DET
ijassa-1481	108	17	last	last	ADJ
ijassa-1481	108	18	full	full	ADJ
ijassa-1481	108	19	backup	backup	NOUN
ijassa-1481	108	20	,	,	PUNCT
ijassa-1481	108	21	not	not	PART
ijassa-1481	108	22	since	since	SCONJ
ijassa-1481	108	23	the	the	DET
ijassa-1481	108	24	last	last	ADJ
ijassa-1481	108	25	incremental	incremental	ADJ
ijassa-1481	108	26	backup	backup	NOUN
ijassa-1481	108	27	.	.	PUNCT
ijassa-1481	109	1	this	this	DET
ijassa-1481	109	2	method	method	NOUN
ijassa-1481	109	3	takes	take	VERB
ijassa-1481	109	4	up	up	ADP
ijassa-1481	109	5	more	more	ADJ
ijassa-1481	109	6	space	space	NOUN
ijassa-1481	109	7	than	than	ADP
ijassa-1481	109	8	the	the	DET
ijassa-1481	109	9	incremental	incremental	ADJ
ijassa-1481	109	10	method	method	NOUN
ijassa-1481	109	11	,	,	PUNCT
ijassa-1481	109	12	but	but	CCONJ
ijassa-1481	109	13	the	the	DET
ijassa-1481	109	14	data	data	NOUN
ijassa-1481	109	15	recovery	recovery	NOUN
ijassa-1481	109	16	procedure	procedure	NOUN
ijassa-1481	109	17	is	be	AUX
ijassa-1481	109	18	usually	usually	ADV
ijassa-1481	109	19	simpler	simple	ADJ
ijassa-1481	109	20	and	and	CCONJ
ijassa-1481	109	21	faster	fast	ADV
ijassa-1481	109	22	.	.	PUNCT
ijassa-1481	110	1	snapshots	snapshot	NOUN
ijassa-1481	110	2	.	.	PUNCT
ijassa-1481	111	1	this	this	DET
ijassa-1481	111	2	method	method	NOUN
ijassa-1481	111	3	of	of	ADP
ijassa-1481	111	4	data	datum	NOUN
ijassa-1481	111	5	backup	backup	PROPN
ijassa-1481	111	6	,	,	PUNCT
ijassa-1481	111	7	which	which	PRON
ijassa-1481	111	8	stores	store	VERB
ijassa-1481	111	9	the	the	DET
ijassa-1481	111	10	state	state	NOUN
ijassa-1481	111	11	of	of	ADP
ijassa-1481	111	12	the	the	DET
ijassa-1481	111	13	file	file	NOUN
ijassa-1481	111	14	system	system	NOUN
ijassa-1481	111	15	at	at	ADP
ijassa-1481	111	16	a	a	DET
ijassa-1481	111	17	particular	particular	ADJ
ijassa-1481	111	18	point	point	NOUN
ijassa-1481	111	19	in	in	ADP
ijassa-1481	111	20	time	time	NOUN
ijassa-1481	111	21	.	.	PUNCT
ijassa-1481	112	1	snapshots	snapshot	NOUN
ijassa-1481	112	2	do	do	AUX
ijassa-1481	112	3	not	not	PART
ijassa-1481	112	4	require	require	VERB
ijassa-1481	112	5	additional	additional	ADJ
ijassa-1481	112	6	copies	copy	NOUN
ijassa-1481	112	7	of	of	ADP
ijassa-1481	112	8	data	datum	NOUN
ijassa-1481	112	9	,	,	PUNCT
ijassa-1481	112	10	but	but	CCONJ
ijassa-1481	112	11	they	they	PRON
ijassa-1481	112	12	do	do	AUX
ijassa-1481	112	13	require	require	VERB
ijassa-1481	112	14	operating	operating	NOUN
ijassa-1481	112	15	system	system	NOUN
ijassa-1481	112	16	support	support	NOUN
ijassa-1481	112	17	and	and	CCONJ
ijassa-1481	112	18	are	be	AUX
ijassa-1481	112	19	stored	store	VERB
ijassa-1481	112	20	within	within	ADP
ijassa-1481	112	21	the	the	DET
ijassa-1481	112	22	file	file	NOUN
ijassa-1481	112	23	system	system	NOUN
ijassa-1481	112	24	.	.	PUNCT
ijassa-1481	113	1	replication	replication	NOUN
ijassa-1481	113	2	is	be	AUX
ijassa-1481	113	3	a	a	DET
ijassa-1481	113	4	method	method	NOUN
ijassa-1481	113	5	of	of	ADP
ijassa-1481	113	6	creating	create	VERB
ijassa-1481	113	7	copies	copy	NOUN
ijassa-1481	113	8	of	of	ADP
ijassa-1481	113	9	data	datum	NOUN
ijassa-1481	113	10	on	on	ADP
ijassa-1481	113	11	other	other	ADJ
ijassa-1481	113	12	servers	server	NOUN
ijassa-1481	113	13	or	or	CCONJ
ijassa-1481	113	14	disk	disk	NOUN
ijassa-1481	113	15	arrays	array	NOUN
ijassa-1481	113	16	in	in	ADP
ijassa-1481	113	17	order	order	NOUN
ijassa-1481	113	18	to	to	PART
ijassa-1481	113	19	ensure	ensure	VERB
ijassa-1481	113	20	availability	availability	NOUN
ijassa-1481	113	21	and	and	CCONJ
ijassa-1481	113	22	reliability	reliability	NOUN
ijassa-1481	113	23	of	of	ADP
ijassa-1481	113	24	information	information	NOUN
ijassa-1481	113	25	in	in	ADP
ijassa-1481	113	26	case	case	NOUN
ijassa-1481	113	27	of	of	ADP
ijassa-1481	113	28	failure	failure	NOUN
ijassa-1481	113	29	of	of	ADP
ijassa-1481	113	30	the	the	DET
ijassa-1481	113	31	primary	primary	ADJ
ijassa-1481	113	32	server	server	NOUN
ijassa-1481	113	33	.	.	PUNCT
ijassa-1481	114	1	replication	replication	NOUN
ijassa-1481	114	2	allows	allow	VERB
ijassa-1481	114	3	you	you	PRON
ijassa-1481	114	4	to	to	PART
ijassa-1481	114	5	reduce	reduce	VERB
ijassa-1481	114	6	the	the	DET
ijassa-1481	114	7	time	time	NOUN
ijassa-1481	114	8	it	it	PRON
ijassa-1481	114	9	takes	take	VERB
ijassa-1481	114	10	to	to	PART
ijassa-1481	114	11	recover	recover	VERB
ijassa-1481	114	12	data	datum	NOUN
ijassa-1481	114	13	because	because	SCONJ
ijassa-1481	114	14	if	if	SCONJ
ijassa-1481	114	15	the	the	DET
ijassa-1481	114	16	primary	primary	ADJ
ijassa-1481	114	17	server	server	NOUN
ijassa-1481	114	18	fails	fail	VERB
ijassa-1481	114	19	,	,	PUNCT
ijassa-1481	114	20	you	you	PRON
ijassa-1481	114	21	can	can	AUX
ijassa-1481	114	22	switch	switch	VERB
ijassa-1481	114	23	to	to	ADP
ijassa-1481	114	24	a	a	DET
ijassa-1481	114	25	backup	backup	NOUN
ijassa-1481	114	26	that	that	PRON
ijassa-1481	114	27	is	be	AUX
ijassa-1481	114	28	already	already	ADV
ijassa-1481	114	29	up	up	ADV
ijassa-1481	114	30	and	and	CCONJ
ijassa-1481	114	31	running	run	VERB
ijassa-1481	114	32	.	.	PUNCT
ijassa-1481	115	1	every	every	DET
ijassa-1481	115	2	information	information	NOUN
ijassa-1481	115	3	backup	backup	NOUN
ijassa-1481	115	4	approach	approach	NOUN
ijassa-1481	115	5	comes	come	VERB
ijassa-1481	115	6	with	with	ADP
ijassa-1481	115	7	its	its	PRON
ijassa-1481	115	8	own	own	ADJ
ijassa-1481	115	9	strengths	strength	NOUN
ijassa-1481	115	10	and	and	CCONJ
ijassa-1481	115	11	weaknesses	weakness	NOUN
ijassa-1481	115	12	,	,	PUNCT
ijassa-1481	115	13	and	and	CCONJ
ijassa-1481	115	14	the	the	DET
ijassa-1481	115	15	selection	selection	NOUN
ijassa-1481	115	16	of	of	ADP
ijassa-1481	115	17	a	a	DET
ijassa-1481	115	18	method	method	NOUN
ijassa-1481	115	19	hinges	hinge	NOUN
ijassa-1481	115	20	on	on	ADP
ijassa-1481	115	21	the	the	DET
ijassa-1481	115	22	distinct	distinct	ADJ
ijassa-1481	115	23	needs	need	NOUN
ijassa-1481	115	24	and	and	CCONJ
ijassa-1481	115	25	constraints	constraint	NOUN
ijassa-1481	115	26	of	of	ADP
ijassa-1481	115	27	the	the	DET
ijassa-1481	115	28	system	system	NOUN
ijassa-1481	115	29	.	.	PUNCT
ijassa-1481	116	1	for	for	ADP
ijassa-1481	116	2	instance	instance	NOUN
ijassa-1481	116	3	,	,	PUNCT
ijassa-1481	116	4	a	a	DET
ijassa-1481	116	5	complete	complete	ADJ
ijassa-1481	116	6	backup	backup	NOUN
ijassa-1481	116	7	might	might	AUX
ijassa-1481	116	8	prove	prove	VERB
ijassa-1481	116	9	optimal	optimal	ADJ
ijassa-1481	116	10	for	for	ADP
ijassa-1481	116	11	smaller	small	ADJ
ijassa-1481	116	12	systems	system	NOUN
ijassa-1481	116	13	handling	handle	VERB
ijassa-1481	116	14	modest	modest	ADJ
ijassa-1481	116	15	data	datum	NOUN
ijassa-1481	116	16	volumes	volume	NOUN
ijassa-1481	116	17	,	,	PUNCT
ijassa-1481	116	18	whereas	whereas	SCONJ
ijassa-1481	116	19	in	in	ADP
ijassa-1481	116	20	larger	large	ADJ
ijassa-1481	116	21	systems	system	NOUN
ijassa-1481	116	22	managing	manage	VERB
ijassa-1481	116	23	substantial	substantial	ADJ
ijassa-1481	116	24	data	datum	NOUN
ijassa-1481	116	25	loads	load	NOUN
ijassa-1481	116	26	,	,	PUNCT
ijassa-1481	116	27	incremental	incremental	ADJ
ijassa-1481	116	28	or	or	CCONJ
ijassa-1481	116	29	differential	differential	NOUN
ijassa-1481	116	30	backups	backup	NOUN
ijassa-1481	116	31	could	could	AUX
ijassa-1481	116	32	offer	offer	VERB
ijassa-1481	116	33	a	a	DET
ijassa-1481	116	34	more	more	ADV
ijassa-1481	116	35	fitting	fitting	ADJ
ijassa-1481	116	36	solution	solution	NOUN
ijassa-1481	116	37	.	.	PUNCT
ijassa-1481	117	1	also	also	ADV
ijassa-1481	117	2	an	an	DET
ijassa-1481	117	3	important	important	ADJ
ijassa-1481	117	4	aspect	aspect	NOUN
ijassa-1481	117	5	of	of	ADP
ijassa-1481	117	6	information	information	NOUN
ijassa-1481	117	7	backup	backup	NOUN
ijassa-1481	117	8	is	be	AUX
ijassa-1481	117	9	the	the	DET
ijassa-1481	117	10	choice	choice	NOUN
ijassa-1481	117	11	of	of	ADP
ijassa-1481	117	12	storage	storage	NOUN
ijassa-1481	117	13	location	location	NOUN
ijassa-1481	117	14	for	for	ADP
ijassa-1481	117	15	backups	backup	NOUN
ijassa-1481	117	16	,	,	PUNCT
ijassa-1481	117	17	as	as	SCONJ
ijassa-1481	117	18	they	they	PRON
ijassa-1481	117	19	must	must	AUX
ijassa-1481	117	20	be	be	AUX
ijassa-1481	117	21	protected	protect	VERB
ijassa-1481	117	22	from	from	ADP
ijassa-1481	117	23	potential	potential	ADJ
ijassa-1481	117	24	threats	threat	NOUN
ijassa-1481	117	25	such	such	ADJ
ijassa-1481	117	26	as	as	ADP
ijassa-1481	117	27	hacking	hack	VERB
ijassa-1481	117	28	or	or	CCONJ
ijassa-1481	117	29	natural	natural	ADJ
ijassa-1481	117	30	disasters	disaster	NOUN
ijassa-1481	117	31	.	.	PUNCT
ijassa-1481	118	1	in	in	ADP
ijassa-1481	118	2	this	this	DET
ijassa-1481	118	3	case	case	NOUN
ijassa-1481	118	4	,	,	PUNCT
ijassa-1481	118	5	it	it	PRON
ijassa-1481	118	6	can	can	AUX
ijassa-1481	118	7	be	be	AUX
ijassa-1481	118	8	effective	effective	ADJ
ijassa-1481	118	9	to	to	PART
ijassa-1481	118	10	use	use	VERB
ijassa-1481	118	11	cloud	cloud	ADJ
ijassa-1481	118	12	data	data	NOUN
ijassa-1481	118	13	storage	storage	NOUN
ijassa-1481	118	14	,	,	PUNCT
ijassa-1481	118	15	which	which	PRON
ijassa-1481	118	16	provides	provide	VERB
ijassa-1481	118	17	a	a	DET
ijassa-1481	118	18	high	high	ADJ
ijassa-1481	118	19	level	level	NOUN
ijassa-1481	118	20	of	of	ADP
ijassa-1481	118	21	security	security	NOUN
ijassa-1481	118	22	and	and	CCONJ
ijassa-1481	118	23	availability	availability	NOUN
ijassa-1481	118	24	.	.	PUNCT
ijassa-1481	119	1	diverse	diverse	ADJ
ijassa-1481	119	2	strategies	strategy	NOUN
ijassa-1481	119	3	are	be	AUX
ijassa-1481	119	4	employed	employ	VERB
ijassa-1481	119	5	to	to	PART
ijassa-1481	119	6	enhance	enhance	VERB
ijassa-1481	119	7	the	the	DET
ijassa-1481	119	8	dependability	dependability	NOUN
ijassa-1481	119	9	of	of	ADP
ijassa-1481	119	10	data	datum	NOUN
ijassa-1481	119	11	storage	storage	NOUN
ijassa-1481	119	12	within	within	ADP
ijassa-1481	119	13	cloud	cloud	ADJ
ijassa-1481	119	14	environments	environment	NOUN
ijassa-1481	119	15	.	.	PUNCT
ijassa-1481	120	1	the	the	DET
ijassa-1481	120	2	use	use	NOUN
ijassa-1481	120	3	of	of	ADP
ijassa-1481	120	4	approaches	approach	NOUN
ijassa-1481	120	5	that	that	PRON
ijassa-1481	120	6	allow	allow	VERB
ijassa-1481	120	7	to	to	PART
ijassa-1481	120	8	perform	perform	VERB
ijassa-1481	120	9	error	error	NOUN
ijassa-1481	120	10	control	control	NOUN
ijassa-1481	120	11	contributes	contribute	VERB
ijassa-1481	120	12	to	to	ADP
ijassa-1481	120	13	greater	great	ADJ
ijassa-1481	120	14	utilization	utilization	NOUN
ijassa-1481	120	15	of	of	ADP
ijassa-1481	120	16	cloud	cloud	ADJ
ijassa-1481	120	17	storage	storage	NOUN
ijassa-1481	120	18	systems	system	NOUN
ijassa-1481	120	19	.	.	PUNCT
ijassa-1481	121	1	to	to	ADP
ijassa-1481	121	2	the	the	DET
ijassa-1481	121	3	code	code	NOUN
ijassa-1481	121	4	,	,	PUNCT
ijassa-1481	121	5	which	which	PRON
ijassa-1481	121	6	allows	allow	VERB
ijassa-1481	121	7	to	to	PART
ijassa-1481	121	8	control	control	VERB
ijassa-1481	121	9	errors	error	NOUN
ijassa-1481	121	10	that	that	PRON
ijassa-1481	121	11	occur	occur	VERB
ijassa-1481	121	12	in	in	ADP
ijassa-1481	121	13	the	the	DET
ijassa-1481	121	14	process	process	NOUN
ijassa-1481	121	15	of	of	ADP
ijassa-1481	121	16	information	information	NOUN
ijassa-1481	121	17	processing	processing	NOUN
ijassa-1481	121	18	,	,	PUNCT
ijassa-1481	121	19	we	we	PRON
ijassa-1481	121	20	present	present	VERB
ijassa-1481	121	21	the	the	DET
ijassa-1481	121	22	requirement	requirement	NOUN
ijassa-1481	121	23	of	of	ADP
ijassa-1481	121	24	arithmetic	arithmetic	NOUN
ijassa-1481	121	25	.	.	PUNCT
ijassa-1481	122	1	by	by	ADP
ijassa-1481	122	2	arithmeticity	arithmeticity	NOUN
ijassa-1481	122	3	of	of	ADP
ijassa-1481	122	4	the	the	DET
ijassa-1481	122	5	code	code	NOUN
ijassa-1481	122	6	allowing	allow	VERB
ijassa-1481	122	7	to	to	PART
ijassa-1481	122	8	perform	perform	VERB
ijassa-1481	122	9	error	error	NOUN
ijassa-1481	122	10	control	control	NOUN
ijassa-1481	122	11	we	we	PRON
ijassa-1481	122	12	will	will	AUX
ijassa-1481	122	13	understand	understand	VERB
ijassa-1481	122	14	such	such	DET
ijassa-1481	122	15	a	a	DET
ijassa-1481	122	16	property	property	NOUN
ijassa-1481	122	17	of	of	ADP
ijassa-1481	122	18	the	the	DET
ijassa-1481	122	19	code	code	NOUN
ijassa-1481	122	20	when	when	SCONJ
ijassa-1481	122	21	we	we	PRON
ijassa-1481	122	22	will	will	AUX
ijassa-1481	122	23	have	have	VERB
ijassa-1481	122	24	”	"	PUNCT
ijassa-1481	122	25	correct	correct	ADJ
ijassa-1481	122	26	”	"	PUNCT
ijassa-1481	122	27	information	information	NOUN
ijassa-1481	122	28	in	in	ADP
ijassa-1481	122	29	the	the	DET
ijassa-1481	122	30	result	result	NOUN
ijassa-1481	122	31	when	when	SCONJ
ijassa-1481	122	32	performing	perform	VERB
ijassa-1481	122	33	any	any	DET
ijassa-1481	122	34	actions	action	NOUN
ijassa-1481	122	35	with	with	ADP
ijassa-1481	122	36	”	"	PUNCT
ijassa-1481	122	37	correct	correct	ADJ
ijassa-1481	122	38	”	"	PUNCT
ijassa-1481	122	39	information	information	NOUN
ijassa-1481	122	40	,	,	PUNCT
ijassa-1481	122	41	i.e.	i.e.	X
ijassa-1481	122	42	we	we	PRON
ijassa-1481	122	43	require	require	VERB
ijassa-1481	122	44	transparency	transparency	NOUN
ijassa-1481	122	45	of	of	ADP
ijassa-1481	122	46	performing	perform	VERB
ijassa-1481	122	47	actions	action	NOUN
ijassa-1481	122	48	with	with	ADP
ijassa-1481	122	49	information	information	NOUN
ijassa-1481	122	50	.	.	PUNCT
ijassa-1481	123	1	it	it	PRON
ijassa-1481	123	2	is	be	AUX
ijassa-1481	123	3	also	also	ADV
ijassa-1481	123	4	necessary	necessary	ADJ
ijassa-1481	123	5	for	for	SCONJ
ijassa-1481	123	6	the	the	DET
ijassa-1481	123	7	code	code	NOUN
ijassa-1481	123	8	to	to	PART
ijassa-1481	123	9	be	be	AUX
ijassa-1481	123	10	able	able	ADJ
ijassa-1481	123	11	to	to	PART
ijassa-1481	123	12	fix	fix	VERB
ijassa-1481	123	13	error	error	NOUN
ijassa-1481	123	14	packets	packet	NOUN
ijassa-1481	123	15	.	.	PUNCT
ijassa-1481	124	1	this	this	DET
ijassa-1481	124	2	property	property	NOUN
ijassa-1481	124	3	is	be	AUX
ijassa-1481	124	4	necessary	necessary	ADJ
ijassa-1481	124	5	to	to	PART
ijassa-1481	124	6	ensure	ensure	VERB
ijassa-1481	124	7	system	system	NOUN
ijassa-1481	124	8	survivability	survivability	NOUN
ijassa-1481	124	9	.	.	PUNCT
ijassa-1481	125	1	3.1	3.1	NUM
ijassa-1481	125	2	.	.	PUNCT
ijassa-1481	125	3	principles	principle	NOUN
ijassa-1481	125	4	of	of	ADP
ijassa-1481	125	5	introducing	introduce	VERB
ijassa-1481	125	6	information	information	NOUN
ijassa-1481	125	7	redundancy	redundancy	NOUN
ijassa-1481	125	8	in	in	ADP
ijassa-1481	125	9	the	the	DET
ijassa-1481	125	10	rns	rn	NOUN
ijassa-1481	125	11	the	the	DET
ijassa-1481	125	12	residue	residue	NOUN
ijassa-1481	125	13	number	number	NOUN
ijassa-1481	125	14	system	system	NOUN
ijassa-1481	125	15	is	be	AUX
ijassa-1481	125	16	a	a	DET
ijassa-1481	125	17	numerical	numerical	ADJ
ijassa-1481	125	18	framework	framework	NOUN
ijassa-1481	125	19	in	in	ADP
ijassa-1481	125	20	which	which	PRON
ijassa-1481	125	21	numbers	number	NOUN
ijassa-1481	125	22	are	be	AUX
ijassa-1481	125	23	depicted	depict	VERB
ijassa-1481	125	24	as	as	ADP
ijassa-1481	125	25	a	a	DET
ijassa-1481	125	26	collection	collection	NOUN
ijassa-1481	125	27	of	of	ADP
ijassa-1481	125	28	non	non	ADJ
ijassa-1481	125	29	-	-	ADJ
ijassa-1481	125	30	negative	negative	ADJ
ijassa-1481	125	31	subtractions	subtraction	NOUN
ijassa-1481	125	32	x1	x1	PROPN
ijassa-1481	125	33	,	,	PUNCT
ijassa-1481	125	34	x2	x2	PROPN
ijassa-1481	125	35	,	,	PUNCT
ijassa-1481	125	36	.	.	PUNCT
ijassa-1481	125	37	.	.	PUNCT
ijassa-1481	126	1	.	.	PUNCT
ijassa-1481	127	1	,	,	PUNCT
ijassa-1481	127	2	xn	xn	PROPN
ijassa-1481	127	3	by	by	ADP
ijassa-1481	127	4	mutually	mutually	ADV
ijassa-1481	127	5	prime	prime	ADJ
ijassa-1481	127	6	moduli	moduli	PROPN
ijassa-1481	127	7	p1	p1	NOUN
ijassa-1481	127	8	,	,	PUNCT
ijassa-1481	127	9	p2	p2	NOUN
ijassa-1481	127	10	,	,	PUNCT
ijassa-1481	127	11	.	.	PUNCT
ijassa-1481	127	12	.	.	PUNCT
ijassa-1481	127	13	.	.	PUNCT
ijassa-1481	128	1	,	,	PUNCT
ijassa-1481	128	2	pn	pn	X
ijassa-1481	129	1	[	[	X
ijassa-1481	129	2	9	9	NUM
ijassa-1481	129	3	,	,	PUNCT
ijassa-1481	129	4	10	10	NUM
ijassa-1481	129	5	]	]	PUNCT
ijassa-1481	129	6	.	.	PUNCT
ijassa-1481	130	1	let	let	VERB
ijassa-1481	130	2	the	the	DET
ijassa-1481	130	3	number	number	NOUN
ijassa-1481	130	4	x	x	PUNCT
ijassa-1481	130	5	be	be	AUX
ijassa-1481	130	6	represented	represent	VERB
ijassa-1481	130	7	by	by	ADP
ijassa-1481	130	8	residues	residue	NOUN
ijassa-1481	130	9	x1	x1	PROPN
ijassa-1481	130	10	,	,	PUNCT
ijassa-1481	130	11	x2	x2	PROPN
ijassa-1481	130	12	,	,	PUNCT
ijassa-1481	130	13	.	.	PUNCT
ijassa-1481	130	14	.	.	PUNCT
ijassa-1481	131	1	.	.	PUNCT
ijassa-1481	132	1	,	,	PUNCT
ijassa-1481	132	2	xn	xn	PROPN
ijassa-1481	132	3	on	on	ADP
ijassa-1481	132	4	the	the	DET
ijassa-1481	132	5	bases	basis	NOUN
ijassa-1481	132	6	p1	p1	NOUN
ijassa-1481	132	7	,	,	PUNCT
ijassa-1481	132	8	p2	p2	NOUN
ijassa-1481	132	9	,	,	PUNCT
ijassa-1481	132	10	.	.	PUNCT
ijassa-1481	132	11	.	.	PUNCT
ijassa-1481	132	12	.	.	PUNCT
ijassa-1481	133	1	,	,	PUNCT
ijassa-1481	133	2	pn	pn	PROPN
ijassa-1481	133	3	.	.	PROPN
ijassa-1481	133	4	let	let	VERB
ijassa-1481	133	5	us	we	PRON
ijassa-1481	133	6	assume	assume	VERB
ijassa-1481	133	7	that	that	SCONJ
ijassa-1481	133	8	k	k	PROPN
ijassa-1481	133	9	residues	residue	NOUN
ijassa-1481	133	10	are	be	AUX
ijassa-1481	133	11	sufficient	sufficient	ADJ
ijassa-1481	133	12	to	to	PART
ijassa-1481	133	13	uniquely	uniquely	ADV
ijassa-1481	133	14	represent	represent	VERB
ijassa-1481	133	15	the	the	DET
ijassa-1481	133	16	number	number	NOUN
ijassa-1481	133	17	x	x	PUNCT
ijassa-1481	133	18	,	,	PUNCT
ijassa-1481	133	19	k	k	X
ijassa-1481	133	20	<	<	X
ijassa-1481	133	21	n	n	CCONJ
ijassa-1481	133	22	,	,	PUNCT
ijassa-1481	133	23	p1	p1	NOUN
ijassa-1481	133	24	<	<	X
ijassa-1481	133	25	p2	p2	X
ijassa-1481	133	26	<	<	X
ijassa-1481	133	27	·	·	PUNCT
ijassa-1481	133	28	·	·	PUNCT
ijassa-1481	133	29	·	·	PUNCT
ijassa-1481	134	1	<	<	X
ijassa-1481	134	2	pn	pn	X
ijassa-1481	134	3	,	,	PUNCT
ijassa-1481	134	4	with	with	ADP
ijassa-1481	134	5	working	working	NOUN
ijassa-1481	134	6	bases	basis	NOUN
ijassa-1481	134	7	p1	p1	NOUN
ijassa-1481	134	8	,	,	PUNCT
ijassa-1481	134	9	p2	p2	NOUN
ijassa-1481	134	10	,	,	PUNCT
ijassa-1481	134	11	.	.	PUNCT
ijassa-1481	134	12	.	.	PUNCT
ijassa-1481	134	13	.	.	PUNCT
ijassa-1481	134	14	,	,	PUNCT
ijassa-1481	134	15	pk	pk	PROPN
ijassa-1481	134	16	.	.	PUNCT
ijassa-1481	134	17	the	the	DET
ijassa-1481	134	18	range	range	NOUN
ijassa-1481	134	19	of	of	ADP
ijassa-1481	134	20	single	single	ADJ
ijassa-1481	134	21	-	-	PUNCT
ijassa-1481	134	22	valued	value	VERB
ijassa-1481	134	23	representation	representation	NOUN
ijassa-1481	134	24	by	by	ADP
ijassa-1481	134	25	selected	select	VERB
ijassa-1481	134	26	modules	module	NOUN
ijassa-1481	134	27	is	be	AUX
ijassa-1481	134	28	equal	equal	ADJ
ijassa-1481	134	29	to	to	ADP
ijassa-1481	134	30	the	the	DET
ijassa-1481	134	31	product	product	NOUN
ijassa-1481	134	32	of	of	ADP
ijassa-1481	134	33	these	these	DET
ijassa-1481	134	34	modules	module	NOUN
ijassa-1481	134	35	pn	pn	NOUN
ijassa-1481	135	1	=	=	SYM
ijassa-1481	135	2	∏n	∏n	PROPN
ijassa-1481	135	3	i=1	i=1	PROPN
ijassa-1481	135	4	pi	pi	NOUN
ijassa-1481	135	5	.	.	PUNCT
ijassa-1481	136	1	corrective	corrective	ADJ
ijassa-1481	136	2	properties	property	NOUN
ijassa-1481	136	3	of	of	ADP
ijassa-1481	136	4	the	the	DET
ijassa-1481	136	5	modular	modular	ADJ
ijassa-1481	136	6	code	code	NOUN
ijassa-1481	136	7	appear	appear	VERB
ijassa-1481	136	8	when	when	SCONJ
ijassa-1481	136	9	redundancy	redundancy	NOUN
ijassa-1481	136	10	is	be	AUX
ijassa-1481	136	11	introduced	introduce	VERB
ijassa-1481	136	12	.	.	PUNCT
ijassa-1481	137	1	let	let	VERB
ijassa-1481	137	2	the	the	DET
ijassa-1481	137	3	number	number	NOUN
ijassa-1481	137	4	x	x	PUNCT
ijassa-1481	137	5	be	be	AUX
ijassa-1481	137	6	represented	represent	VERB
ijassa-1481	137	7	by	by	ADP
ijassa-1481	137	8	residues	residue	NOUN
ijassa-1481	137	9	x1	x1	PROPN
ijassa-1481	137	10	,	,	PUNCT
ijassa-1481	137	11	x2	x2	PROPN
ijassa-1481	137	12	,	,	PUNCT
ijassa-1481	137	13	.	.	PUNCT
ijassa-1481	137	14	.	.	PUNCT
ijassa-1481	138	1	.	.	PUNCT
ijassa-1481	139	1	,	,	PUNCT
ijassa-1481	139	2	xn	xn	PROPN
ijassa-1481	139	3	on	on	ADP
ijassa-1481	139	4	the	the	DET
ijassa-1481	139	5	bases	basis	NOUN
ijassa-1481	139	6	p1	p1	NOUN
ijassa-1481	139	7	,	,	PUNCT
ijassa-1481	139	8	p2	p2	NOUN
ijassa-1481	139	9	,	,	PUNCT
ijassa-1481	139	10	.	.	PUNCT
ijassa-1481	139	11	.	.	PUNCT
ijassa-1481	139	12	.	.	PUNCT
ijassa-1481	140	1	,	,	PUNCT
ijassa-1481	140	2	pn	pn	PROPN
ijassa-1481	140	3	.	.	PUNCT
ijassa-1481	141	1	the	the	DET
ijassa-1481	141	2	number	number	NOUN
ijassa-1481	141	3	x	x	PUNCT
ijassa-1481	141	4	in	in	ADP
ijassa-1481	141	5	general	general	ADJ
ijassa-1481	141	6	case	case	NOUN
ijassa-1481	141	7	can	can	AUX
ijassa-1481	141	8	vary	vary	VERB
ijassa-1481	141	9	in	in	ADP
ijassa-1481	141	10	the	the	DET
ijassa-1481	141	11	range	range	NOUN
ijassa-1481	141	12	of	of	ADP
ijassa-1481	141	13	|·|+pn	|·|+pn	PROPN
ijassa-1481	141	14	.	.	PUNCT
ijassa-1481	142	1	let	let	VERB
ijassa-1481	142	2	us	we	PRON
ijassa-1481	142	3	impose	impose	VERB
ijassa-1481	142	4	a	a	DET
ijassa-1481	142	5	restriction	restriction	NOUN
ijassa-1481	142	6	on	on	ADP
ijassa-1481	142	7	the	the	DET
ijassa-1481	142	8	range	range	NOUN
ijassa-1481	142	9	of	of	ADP
ijassa-1481	142	10	copyright	copyright	NOUN
ijassa-1481	142	11	©	©	PROPN
ijassa-1481	142	12	2024	2024	NUM
ijassa-1481	142	13	assa	assa	NOUN
ijassa-1481	142	14	.	.	PUNCT
ijassa-1481	143	1	adv	adv	PROPN
ijassa-1481	143	2	syst	syst	PROPN
ijassa-1481	143	3	sci	sci	PROPN
ijassa-1481	143	4	appl	appl	PROPN
ijassa-1481	143	5	(	(	PUNCT
ijassa-1481	143	6	2024	2024	NUM
ijassa-1481	143	7	)	)	PUNCT
ijassa-1481	143	8	data	datum	NOUN
ijassa-1481	143	9	storage	storage	NOUN
ijassa-1481	143	10	with	with	ADP
ijassa-1481	143	11	increased	increase	VERB
ijassa-1481	143	12	survivability	survivability	NOUN
ijassa-1481	143	13	and	and	CCONJ
ijassa-1481	143	14	reliability	reliability	NOUN
ijassa-1481	143	15	...	...	PUNCT
ijassa-1481	143	16	171	171	NUM
ijassa-1481	143	17	possible	possible	ADJ
ijassa-1481	143	18	variation	variation	NOUN
ijassa-1481	143	19	,	,	PUNCT
ijassa-1481	143	20	for	for	ADP
ijassa-1481	143	21	this	this	DET
ijassa-1481	143	22	purpose	purpose	NOUN
ijassa-1481	143	23	we	we	PRON
ijassa-1481	143	24	will	will	AUX
ijassa-1481	143	25	assume	assume	VERB
ijassa-1481	143	26	that	that	SCONJ
ijassa-1481	143	27	k	k	PROPN
ijassa-1481	143	28	residues	residue	NOUN
ijassa-1481	143	29	are	be	AUX
ijassa-1481	143	30	sufficient	sufficient	ADJ
ijassa-1481	143	31	for	for	ADP
ijassa-1481	143	32	a	a	DET
ijassa-1481	143	33	one	one	NUM
ijassa-1481	143	34	-	-	PUNCT
ijassa-1481	143	35	toone	toone	NOUN
ijassa-1481	143	36	representation	representation	NOUN
ijassa-1481	143	37	of	of	ADP
ijassa-1481	143	38	a	a	DET
ijassa-1481	143	39	number	number	NOUN
ijassa-1481	143	40	x	x	NOUN
ijassa-1481	143	41	,	,	PUNCT
ijassa-1481	143	42	and	and	CCONJ
ijassa-1481	143	43	k	k	PROPN
ijassa-1481	143	44	<	<	X
ijassa-1481	143	45	n.	n.	PROPN
ijassa-1481	143	46	let	let	VERB
ijassa-1481	143	47	’s	’s	PRON
ijassa-1481	143	48	assume	assume	VERB
ijassa-1481	143	49	that	that	SCONJ
ijassa-1481	143	50	p1	p1	NOUN
ijassa-1481	143	51	<	<	X
ijassa-1481	143	52	p2	p2	X
ijassa-1481	143	53	<	<	X
ijassa-1481	143	54	·	·	PUNCT
ijassa-1481	143	55	·	·	PUNCT
ijassa-1481	143	56	·	·	PUNCT
ijassa-1481	144	1	<	<	X
ijassa-1481	144	2	pk	pk	X
ijassa-1481	144	3	<	<	X
ijassa-1481	144	4	·	·	PUNCT
ijassa-1481	144	5	·	·	PUNCT
ijassa-1481	144	6	·	·	PUNCT
ijassa-1481	145	1	<	<	X
ijassa-1481	145	2	pn	pn	X
ijassa-1481	145	3	,	,	PUNCT
ijassa-1481	145	4	whereby	whereby	SCONJ
ijassa-1481	145	5	the	the	DET
ijassa-1481	145	6	working	working	NOUN
ijassa-1481	145	7	bases	basis	NOUN
ijassa-1481	145	8	will	will	AUX
ijassa-1481	145	9	be	be	AUX
ijassa-1481	145	10	considered	consider	VERB
ijassa-1481	145	11	as	as	ADP
ijassa-1481	145	12	p1	p1	PROPN
ijassa-1481	145	13	<	<	X
ijassa-1481	145	14	p2	p2	X
ijassa-1481	145	15	<	<	X
ijassa-1481	145	16	·	·	PUNCT
ijassa-1481	145	17	·	·	PUNCT
ijassa-1481	145	18	·	·	PUNCT
ijassa-1481	145	19	<	<	X
ijassa-1481	145	20	pk	pk	PROPN
ijassa-1481	145	21	.	.	PUNCT
ijassa-1481	146	1	the	the	DET
ijassa-1481	146	2	range	range	NOUN
ijassa-1481	146	3	of	of	ADP
ijassa-1481	146	4	single	single	ADJ
ijassa-1481	146	5	-	-	PUNCT
ijassa-1481	146	6	digit	digit	NOUN
ijassa-1481	146	7	representation	representation	NOUN
ijassa-1481	146	8	of	of	ADP
ijassa-1481	146	9	numbers	number	NOUN
ijassa-1481	146	10	on	on	ADP
ijassa-1481	146	11	these	these	DET
ijassa-1481	146	12	bases	basis	NOUN
ijassa-1481	146	13	is	be	AUX
ijassa-1481	146	14	equal	equal	ADJ
ijassa-1481	146	15	to	to	ADP
ijassa-1481	146	16	pn	pn	VERB
ijassa-1481	146	17	=	=	X
ijassa-1481	146	18	∏k	∏k	X
ijassa-1481	146	19	i=1	i=1	PROPN
ijassa-1481	146	20	pi	pi	NOUN
ijassa-1481	146	21	.	.	PUNCT
ijassa-1481	147	1	consequently	consequently	ADV
ijassa-1481	147	2	,	,	PUNCT
ijassa-1481	147	3	in	in	ADP
ijassa-1481	147	4	the	the	DET
ijassa-1481	147	5	depiction	depiction	NOUN
ijassa-1481	147	6	of	of	ADP
ijassa-1481	147	7	a	a	DET
ijassa-1481	147	8	number	number	NOUN
ijassa-1481	147	9	x	x	ADP
ijassa-1481	147	10	using	use	VERB
ijassa-1481	147	11	residues	residue	NOUN
ijassa-1481	147	12	x1	x1	PROPN
ijassa-1481	147	13	,	,	PUNCT
ijassa-1481	147	14	x2	x2	PROPN
ijassa-1481	147	15	,	,	PUNCT
ijassa-1481	147	16	...	...	PUNCT
ijassa-1481	147	17	,	,	PUNCT
ijassa-1481	147	18	xn	xn	PROPN
ijassa-1481	147	19	,	,	PUNCT
ijassa-1481	147	20	any	any	DET
ijassa-1481	147	21	subset	subset	NOUN
ijassa-1481	147	22	of	of	ADP
ijassa-1481	147	23	r	r	NOUN
ijassa-1481	147	24	residues	residue	NOUN
ijassa-1481	147	25	can	can	AUX
ijassa-1481	147	26	be	be	AUX
ijassa-1481	147	27	omitted	omit	VERB
ijassa-1481	147	28	without	without	ADP
ijassa-1481	147	29	compromising	compromise	VERB
ijassa-1481	147	30	the	the	DET
ijassa-1481	147	31	clarity	clarity	NOUN
ijassa-1481	147	32	of	of	ADP
ijassa-1481	147	33	the	the	DET
ijassa-1481	147	34	representation	representation	NOUN
ijassa-1481	147	35	of	of	ADP
ijassa-1481	147	36	the	the	DET
ijassa-1481	147	37	number	number	NOUN
ijassa-1481	147	38	x	x	NOUN
ijassa-1481	147	39	.	.	PUNCT
ijassa-1481	148	1	this	this	DET
ijassa-1481	148	2	attribute	attribute	NOUN
ijassa-1481	148	3	empowers	empower	VERB
ijassa-1481	148	4	rns	rn	NOUN
ijassa-1481	148	5	to	to	PART
ijassa-1481	148	6	manage	manage	VERB
ijassa-1481	148	7	errors	error	NOUN
ijassa-1481	148	8	effectively	effectively	ADV
ijassa-1481	148	9	and	and	CCONJ
ijassa-1481	148	10	establishes	establish	VERB
ijassa-1481	148	11	it	it	PRON
ijassa-1481	148	12	as	as	ADP
ijassa-1481	148	13	a	a	DET
ijassa-1481	148	14	non	non	ADJ
ijassa-1481	148	15	-	-	ADJ
ijassa-1481	148	16	linear	linear	ADJ
ijassa-1481	148	17	code	code	NOUN
ijassa-1481	148	18	,	,	PUNCT
ijassa-1481	148	19	recognized	recognize	VERB
ijassa-1481	148	20	as	as	ADP
ijassa-1481	148	21	an	an	DET
ijassa-1481	148	22	r	r	NOUN
ijassa-1481	148	23	-	-	PUNCT
ijassa-1481	148	24	code	code	NOUN
ijassa-1481	148	25	.	.	PUNCT
ijassa-1481	149	1	let	let	VERB
ijassa-1481	149	2	us	we	PRON
ijassa-1481	149	3	show	show	VERB
ijassa-1481	149	4	by	by	ADP
ijassa-1481	149	5	example	example	NOUN
ijassa-1481	149	6	the	the	DET
ijassa-1481	149	7	ability	ability	NOUN
ijassa-1481	149	8	of	of	ADP
ijassa-1481	149	9	r	r	NOUN
ijassa-1481	149	10	-	-	PUNCT
ijassa-1481	149	11	code	code	NOUN
ijassa-1481	149	12	in	in	ADP
ijassa-1481	149	13	rns	rn	NOUN
ijassa-1481	149	14	to	to	PART
ijassa-1481	149	15	control	control	VERB
ijassa-1481	149	16	errors	error	NOUN
ijassa-1481	149	17	.	.	PUNCT
ijassa-1481	150	1	let	let	VERB
ijassa-1481	150	2	some	some	DET
ijassa-1481	150	3	number	number	NOUN
ijassa-1481	150	4	0	0	NUM
ijassa-1481	150	5	≤	≤	NUM
ijassa-1481	150	6	x	x	SYM
ijassa-1481	150	7	≤	≤	NUM
ijassa-1481	150	8	100	100	NUM
ijassa-1481	150	9	.	.	PUNCT
ijassa-1481	151	1	for	for	ADP
ijassa-1481	151	2	representation	representation	NOUN
ijassa-1481	151	3	in	in	ADP
ijassa-1481	151	4	residues	residue	NOUN
ijassa-1481	151	5	,	,	PUNCT
ijassa-1481	151	6	we	we	PRON
ijassa-1481	151	7	choose	choose	VERB
ijassa-1481	151	8	bases	basis	NOUN
ijassa-1481	151	9	p1	p1	NOUN
ijassa-1481	151	10	=	=	SYM
ijassa-1481	151	11	3	3	NUM
ijassa-1481	151	12	,	,	PUNCT
ijassa-1481	151	13	p2	p2	X
ijassa-1481	151	14	=	=	SYM
ijassa-1481	151	15	5	5	NUM
ijassa-1481	151	16	,	,	PUNCT
ijassa-1481	151	17	p3	p3	NOUN
ijassa-1481	151	18	=	=	PUNCT
ijassa-1481	151	19	7	7	X
ijassa-1481	151	20	.	.	PUNCT
ijassa-1481	152	1	the	the	DET
ijassa-1481	152	2	residues	residue	NOUN
ijassa-1481	152	3	x1	x1	PROPN
ijassa-1481	152	4	,	,	PUNCT
ijassa-1481	152	5	x2	x2	PROPN
ijassa-1481	152	6	,	,	PUNCT
ijassa-1481	152	7	x3	x3	VERB
ijassa-1481	152	8	on	on	ADP
ijassa-1481	152	9	the	the	DET
ijassa-1481	152	10	corresponding	corresponding	ADJ
ijassa-1481	152	11	bases	basis	NOUN
ijassa-1481	152	12	can	can	AUX
ijassa-1481	152	13	be	be	AUX
ijassa-1481	152	14	used	use	VERB
ijassa-1481	152	15	to	to	PART
ijassa-1481	152	16	represent	represent	VERB
ijassa-1481	152	17	a	a	DET
ijassa-1481	152	18	number	number	NOUN
ijassa-1481	152	19	in	in	ADP
ijassa-1481	152	20	the	the	DET
ijassa-1481	152	21	range	range	NOUN
ijassa-1481	152	22	from	from	ADP
ijassa-1481	152	23	0	0	NUM
ijassa-1481	152	24	to	to	ADP
ijassa-1481	152	25	104	104	NUM
ijassa-1481	152	26	.	.	PUNCT
ijassa-1481	153	1	thus	thus	ADV
ijassa-1481	153	2	we	we	PRON
ijassa-1481	153	3	have	have	VERB
ijassa-1481	153	4	an	an	DET
ijassa-1481	153	5	almost	almost	ADV
ijassa-1481	153	6	lossless	lossless	NOUN
ijassa-1481	153	7	representation	representation	NOUN
ijassa-1481	153	8	x	x	X
ijassa-1481	153	9	=	=	SYM
ijassa-1481	153	10	(	(	PUNCT
ijassa-1481	153	11	x1	x1	PROPN
ijassa-1481	153	12	,	,	PUNCT
ijassa-1481	153	13	x2	x2	PROPN
ijassa-1481	153	14	,	,	PUNCT
ijassa-1481	153	15	x3	x3	ADJ
ijassa-1481	153	16	)	)	PUNCT
ijassa-1481	153	17	.	.	PUNCT
ijassa-1481	154	1	let	let	VERB
ijassa-1481	154	2	x	x	SYM
ijassa-1481	154	3	=	=	SYM
ijassa-1481	154	4	49	49	NUM
ijassa-1481	154	5	=	=	SYM
ijassa-1481	154	6	(	(	PUNCT
ijassa-1481	154	7	1	1	NUM
ijassa-1481	154	8	,	,	PUNCT
ijassa-1481	154	9	4	4	NUM
ijassa-1481	154	10	,	,	PUNCT
ijassa-1481	154	11	0	0	NUM
ijassa-1481	154	12	)	)	PUNCT
ijassa-1481	154	13	.	.	PUNCT
ijassa-1481	155	1	let	let	VERB
ijassa-1481	155	2	’s	’s	PRON
ijassa-1481	155	3	add	add	VERB
ijassa-1481	155	4	one	one	NUM
ijassa-1481	155	5	more	more	ADJ
ijassa-1481	155	6	base	base	NOUN
ijassa-1481	155	7	p4	p4	NOUN
ijassa-1481	155	8	=	=	NOUN
ijassa-1481	155	9	11	11	NUM
ijassa-1481	155	10	.	.	PUNCT
ijassa-1481	156	1	to	to	ADP
ijassa-1481	156	2	the	the	DET
ijassa-1481	156	3	three	three	NUM
ijassa-1481	156	4	existing	exist	VERB
ijassa-1481	156	5	bases	basis	NOUN
ijassa-1481	156	6	.	.	PUNCT
ijassa-1481	157	1	then	then	ADV
ijassa-1481	157	2	our	our	PRON
ijassa-1481	157	3	number	number	NOUN
ijassa-1481	157	4	x	x	PUNCT
ijassa-1481	157	5	=	=	SYM
ijassa-1481	157	6	49	49	NUM
ijassa-1481	157	7	be	be	AUX
ijassa-1481	157	8	represented	represent	VERB
ijassa-1481	157	9	by	by	ADP
ijassa-1481	157	10	four	four	NUM
ijassa-1481	157	11	residues	residue	NOUN
ijassa-1481	157	12	x	x	PUNCT
ijassa-1481	158	1	=	=	SYM
ijassa-1481	158	2	(	(	PUNCT
ijassa-1481	158	3	1	1	NUM
ijassa-1481	158	4	,	,	PUNCT
ijassa-1481	158	5	4	4	NUM
ijassa-1481	158	6	,	,	PUNCT
ijassa-1481	158	7	0	0	NUM
ijassa-1481	158	8	,	,	PUNCT
ijassa-1481	158	9	5	5	NUM
ijassa-1481	158	10	)	)	PUNCT
ijassa-1481	158	11	.	.	PUNCT
ijassa-1481	159	1	suppose	suppose	VERB
ijassa-1481	159	2	a	a	DET
ijassa-1481	159	3	fault	fault	NOUN
ijassa-1481	159	4	occurred	occur	VERB
ijassa-1481	159	5	during	during	ADP
ijassa-1481	159	6	data	data	NOUN
ijassa-1481	159	7	transmission	transmission	NOUN
ijassa-1481	159	8	and	and	CCONJ
ijassa-1481	159	9	as	as	ADP
ijassa-1481	159	10	a	a	DET
ijassa-1481	159	11	result	result	NOUN
ijassa-1481	159	12	an	an	DET
ijassa-1481	159	13	error	error	NOUN
ijassa-1481	159	14	occurred	occur	VERB
ijassa-1481	159	15	on	on	ADP
ijassa-1481	159	16	the	the	DET
ijassa-1481	159	17	basis	basis	NOUN
ijassa-1481	159	18	of	of	ADP
ijassa-1481	159	19	p2	p2	PROPN
ijassa-1481	159	20	=	=	SYM
ijassa-1481	160	1	5	5	X
ijassa-1481	160	2	.	.	PUNCT
ijassa-1481	161	1	in	in	ADP
ijassa-1481	161	2	the	the	DET
ijassa-1481	161	3	received	receive	VERB
ijassa-1481	161	4	data	datum	NOUN
ijassa-1481	161	5	,	,	PUNCT
ijassa-1481	161	6	we	we	PRON
ijassa-1481	161	7	will	will	AUX
ijassa-1481	161	8	leave	leave	VERB
ijassa-1481	161	9	only	only	ADV
ijassa-1481	161	10	three	three	NUM
ijassa-1481	161	11	parts	part	NOUN
ijassa-1481	161	12	of	of	ADP
ijassa-1481	161	13	the	the	DET
ijassa-1481	161	14	data	datum	NOUN
ijassa-1481	161	15	corresponding	correspond	VERB
ijassa-1481	161	16	to	to	ADP
ijassa-1481	161	17	the	the	DET
ijassa-1481	161	18	grounds	ground	NOUN
ijassa-1481	161	19	p1	p1	NOUN
ijassa-1481	161	20	=	=	SYM
ijassa-1481	161	21	2	2	NUM
ijassa-1481	161	22	,	,	PUNCT
ijassa-1481	161	23	p2	p2	X
ijassa-1481	161	24	=	=	SYM
ijassa-1481	161	25	7	7	NUM
ijassa-1481	161	26	,	,	PUNCT
ijassa-1481	161	27	p3	p3	NOUN
ijassa-1481	161	28	=	=	PUNCT
ijassa-1481	161	29	11	11	NUM
ijassa-1481	161	30	,	,	PUNCT
ijassa-1481	161	31	(	(	PUNCT
ijassa-1481	161	32	1	1	NUM
ijassa-1481	161	33	,	,	PUNCT
ijassa-1481	161	34	0	0	NUM
ijassa-1481	161	35	,	,	PUNCT
ijassa-1481	161	36	5	5	NUM
ijassa-1481	161	37	)	)	PUNCT
ijassa-1481	161	38	.	.	PUNCT
ijassa-1481	162	1	let	let	VERB
ijassa-1481	162	2	’s	’s	PRON
ijassa-1481	162	3	restore	restore	VERB
ijassa-1481	162	4	the	the	DET
ijassa-1481	162	5	data	datum	NOUN
ijassa-1481	162	6	from	from	ADP
ijassa-1481	162	7	the	the	DET
ijassa-1481	162	8	three	three	NUM
ijassa-1481	162	9	parts	part	NOUN
ijassa-1481	162	10	and	and	CCONJ
ijassa-1481	162	11	get	get	VERB
ijassa-1481	162	12	that	that	SCONJ
ijassa-1481	162	13	they	they	PRON
ijassa-1481	162	14	correspond	correspond	VERB
ijassa-1481	162	15	to	to	ADP
ijassa-1481	162	16	the	the	DET
ijassa-1481	162	17	transmitted	transmit	VERB
ijassa-1481	162	18	number	number	NOUN
ijassa-1481	162	19	49	49	NUM
ijassa-1481	162	20	.	.	PUNCT
ijassa-1481	163	1	this	this	DET
ijassa-1481	163	2	erase	erase	NOUN
ijassa-1481	163	3	operation	operation	NOUN
ijassa-1481	163	4	can	can	AUX
ijassa-1481	163	5	be	be	AUX
ijassa-1481	163	6	performed	perform	VERB
ijassa-1481	163	7	with	with	ADP
ijassa-1481	163	8	any	any	PRON
ijassa-1481	163	9	of	of	ADP
ijassa-1481	163	10	the	the	DET
ijassa-1481	163	11	bases	basis	NOUN
ijassa-1481	163	12	and	and	CCONJ
ijassa-1481	163	13	the	the	DET
ijassa-1481	163	14	data	datum	NOUN
ijassa-1481	163	15	will	will	AUX
ijassa-1481	163	16	be	be	AUX
ijassa-1481	163	17	restored	restore	VERB
ijassa-1481	163	18	correctly	correctly	ADV
ijassa-1481	163	19	as	as	ADP
ijassa-1481	163	20	a	a	DET
ijassa-1481	163	21	result	result	NOUN
ijassa-1481	163	22	.	.	PUNCT
ijassa-1481	164	1	a	a	DET
ijassa-1481	164	2	linear	linear	ADJ
ijassa-1481	164	3	corrective	corrective	ADJ
ijassa-1481	164	4	l	l	NOUN
ijassa-1481	164	5	-	-	NOUN
ijassa-1481	164	6	code	code	NOUN
ijassa-1481	164	7	can	can	AUX
ijassa-1481	164	8	also	also	ADV
ijassa-1481	164	9	be	be	AUX
ijassa-1481	164	10	constructed	construct	VERB
ijassa-1481	164	11	in	in	ADP
ijassa-1481	164	12	rns	rn	NOUN
ijassa-1481	164	13	.	.	PUNCT
ijassa-1481	165	1	to	to	PART
ijassa-1481	165	2	construct	construct	VERB
ijassa-1481	165	3	the	the	DET
ijassa-1481	165	4	l	l	NOUN
ijassa-1481	165	5	-	-	NOUN
ijassa-1481	165	6	code	code	NOUN
ijassa-1481	165	7	it	it	PRON
ijassa-1481	165	8	is	be	AUX
ijassa-1481	165	9	enough	enough	ADJ
ijassa-1481	165	10	to	to	PART
ijassa-1481	165	11	remove	remove	VERB
ijassa-1481	165	12	the	the	DET
ijassa-1481	165	13	restrictions	restriction	NOUN
ijassa-1481	165	14	on	on	ADP
ijassa-1481	165	15	pairwise	pairwise	NOUN
ijassa-1481	165	16	mutual	mutual	ADJ
ijassa-1481	165	17	simplicity	simplicity	NOUN
ijassa-1481	165	18	of	of	ADP
ijassa-1481	165	19	bases	basis	NOUN
ijassa-1481	165	20	.	.	PUNCT
ijassa-1481	166	1	removing	remove	VERB
ijassa-1481	166	2	the	the	DET
ijassa-1481	166	3	conditions	condition	NOUN
ijassa-1481	166	4	of	of	ADP
ijassa-1481	166	5	pairwise	pairwise	NOUN
ijassa-1481	166	6	mutual	mutual	ADJ
ijassa-1481	166	7	simplicity	simplicity	NOUN
ijassa-1481	166	8	leads	lead	VERB
ijassa-1481	166	9	to	to	ADP
ijassa-1481	166	10	the	the	DET
ijassa-1481	166	11	fact	fact	NOUN
ijassa-1481	166	12	that	that	SCONJ
ijassa-1481	166	13	redundancy	redundancy	NOUN
ijassa-1481	166	14	in	in	ADP
ijassa-1481	166	15	the	the	DET
ijassa-1481	166	16	representation	representation	NOUN
ijassa-1481	166	17	of	of	ADP
ijassa-1481	166	18	a	a	DET
ijassa-1481	166	19	number	number	NOUN
ijassa-1481	166	20	x	x	PRON
ijassa-1481	166	21	will	will	AUX
ijassa-1481	166	22	appear	appear	VERB
ijassa-1481	166	23	not	not	PART
ijassa-1481	166	24	only	only	ADV
ijassa-1481	166	25	due	due	ADJ
ijassa-1481	166	26	to	to	ADP
ijassa-1481	166	27	the	the	DET
ijassa-1481	166	28	reduction	reduction	NOUN
ijassa-1481	166	29	of	of	ADP
ijassa-1481	166	30	the	the	DET
ijassa-1481	166	31	number	number	NOUN
ijassa-1481	166	32	of	of	ADP
ijassa-1481	166	33	working	work	VERB
ijassa-1481	166	34	bases	basis	NOUN
ijassa-1481	166	35	,	,	PUNCT
ijassa-1481	166	36	but	but	CCONJ
ijassa-1481	166	37	also	also	ADV
ijassa-1481	166	38	due	due	ADP
ijassa-1481	166	39	to	to	ADP
ijassa-1481	166	40	the	the	DET
ijassa-1481	166	41	fact	fact	NOUN
ijassa-1481	166	42	that	that	SCONJ
ijassa-1481	166	43	the	the	DET
ijassa-1481	166	44	range	range	NOUN
ijassa-1481	166	45	of	of	ADP
ijassa-1481	166	46	representation	representation	NOUN
ijassa-1481	166	47	of	of	ADP
ijassa-1481	166	48	a	a	DET
ijassa-1481	166	49	number	number	NOUN
ijassa-1481	166	50	x	x	PUNCT
ijassa-1481	166	51	by	by	ADP
ijassa-1481	166	52	k	k	PROPN
ijassa-1481	166	53	residues	residue	NOUN
ijassa-1481	166	54	will	will	AUX
ijassa-1481	166	55	be	be	AUX
ijassa-1481	166	56	less	less	ADJ
ijassa-1481	166	57	than	than	ADP
ijassa-1481	166	58	the	the	DET
ijassa-1481	166	59	power	power	NOUN
ijassa-1481	166	60	of	of	ADP
ijassa-1481	166	61	the	the	DET
ijassa-1481	166	62	range	range	NOUN
ijassa-1481	166	63	of	of	ADP
ijassa-1481	166	64	number	number	NOUN
ijassa-1481	166	65	representations	representation	NOUN
ijassa-1481	166	66	.	.	PUNCT
ijassa-1481	167	1	3.2	3.2	NUM
ijassa-1481	167	2	.	.	PUNCT
ijassa-1481	167	3	estimation	estimation	NOUN
ijassa-1481	167	4	of	of	ADP
ijassa-1481	167	5	corrective	corrective	ADJ
ijassa-1481	167	6	capacity	capacity	NOUN
ijassa-1481	167	7	of	of	ADP
ijassa-1481	167	8	codes	code	NOUN
ijassa-1481	167	9	in	in	ADP
ijassa-1481	167	10	rns	rn	NOUN
ijassa-1481	167	11	in	in	ADP
ijassa-1481	167	12	order	order	NOUN
ijassa-1481	167	13	to	to	PART
ijassa-1481	167	14	evaluate	evaluate	VERB
ijassa-1481	167	15	the	the	DET
ijassa-1481	167	16	ability	ability	NOUN
ijassa-1481	167	17	of	of	ADP
ijassa-1481	167	18	rns	rn	NOUN
ijassa-1481	167	19	to	to	PART
ijassa-1481	167	20	detect	detect	VERB
ijassa-1481	167	21	,	,	PUNCT
ijassa-1481	167	22	localize	localize	VERB
ijassa-1481	167	23	and	and	CCONJ
ijassa-1481	167	24	correct	correct	ADJ
ijassa-1481	167	25	errors	error	NOUN
ijassa-1481	167	26	we	we	PRON
ijassa-1481	167	27	introduce	introduce	VERB
ijassa-1481	167	28	the	the	DET
ijassa-1481	167	29	notion	notion	NOUN
ijassa-1481	167	30	of	of	ADP
ijassa-1481	167	31	weight	weight	NOUN
ijassa-1481	167	32	wpn(|x|+pn	wpn(|x|+pn	NOUN
ijassa-1481	167	33	)	)	PUNCT
ijassa-1481	167	34	of	of	ADP
ijassa-1481	167	35	a	a	DET
ijassa-1481	167	36	number	number	NOUN
ijassa-1481	167	37	x	x	PUNCT
ijassa-1481	167	38	.	.	PUNCT
ijassa-1481	168	1	we	we	PRON
ijassa-1481	168	2	will	will	AUX
ijassa-1481	168	3	define	define	VERB
ijassa-1481	168	4	the	the	DET
ijassa-1481	168	5	weight	weight	NOUN
ijassa-1481	168	6	wpn(|x|+pn	wpn(|x|+pn	NOUN
ijassa-1481	168	7	)	)	PUNCT
ijassa-1481	168	8	of	of	ADP
ijassa-1481	168	9	a	a	DET
ijassa-1481	168	10	number	number	NOUN
ijassa-1481	168	11	x	x	PUNCT
ijassa-1481	168	12	as	as	ADP
ijassa-1481	168	13	the	the	DET
ijassa-1481	168	14	count	count	NOUN
ijassa-1481	168	15	of	of	ADP
ijassa-1481	168	16	non	non	ADJ
ijassa-1481	168	17	-	-	ADJ
ijassa-1481	168	18	zero	zero	NUM
ijassa-1481	168	19	residues	residue	NOUN
ijassa-1481	168	20	.	.	PUNCT
ijassa-1481	169	1	this	this	DET
ijassa-1481	169	2	delineation	delineation	NOUN
ijassa-1481	169	3	of	of	ADP
ijassa-1481	169	4	a	a	DET
ijassa-1481	169	5	number	number	NOUN
ijassa-1481	169	6	’s	’s	PART
ijassa-1481	169	7	weight	weight	NOUN
ijassa-1481	169	8	aligns	align	VERB
ijassa-1481	169	9	with	with	ADP
ijassa-1481	169	10	the	the	DET
ijassa-1481	169	11	description	description	NOUN
ijassa-1481	169	12	of	of	ADP
ijassa-1481	169	13	code	code	NOUN
ijassa-1481	169	14	weight	weight	NOUN
ijassa-1481	169	15	in	in	ADP
ijassa-1481	169	16	the	the	DET
ijassa-1481	169	17	hemming	hemming	NOUN
ijassa-1481	169	18	metric	metric	NOUN
ijassa-1481	169	19	.	.	PUNCT
ijassa-1481	170	1	in	in	ADP
ijassa-1481	170	2	wpn(|x|+pn	wpn(|x|+pn	NOUN
ijassa-1481	170	3	)	)	PUNCT
ijassa-1481	170	4	,	,	PUNCT
ijassa-1481	170	5	the	the	DET
ijassa-1481	170	6	lower	low	ADJ
ijassa-1481	170	7	index	index	NOUN
ijassa-1481	170	8	of	of	ADP
ijassa-1481	170	9	pn	pn	PROPN
ijassa-1481	170	10	at	at	ADP
ijassa-1481	170	11	w	w	PROPN
ijassa-1481	170	12	indicates	indicate	VERB
ijassa-1481	170	13	that	that	SCONJ
ijassa-1481	170	14	the	the	DET
ijassa-1481	170	15	number	number	NOUN
ijassa-1481	170	16	x	x	PUNCT
ijassa-1481	170	17	is	be	AUX
ijassa-1481	170	18	depicted	depict	VERB
ijassa-1481	170	19	using	use	VERB
ijassa-1481	170	20	a	a	DET
ijassa-1481	170	21	quantity	quantity	NOUN
ijassa-1481	170	22	of	of	ADP
ijassa-1481	170	23	residues	residue	NOUN
ijassa-1481	171	1	such	such	ADJ
ijassa-1481	171	2	that	that	SCONJ
ijassa-1481	171	3	x	x	SYM
ijassa-1481	171	4	∈	∈	PROPN
ijassa-1481	171	5	|	|	NOUN
ijassa-1481	171	6	·	·	PUNCT
ijassa-1481	171	7	|+pn	|+pn	X
ijassa-1481	171	8	.	.	PUNCT
ijassa-1481	172	1	evidently	evidently	ADV
ijassa-1481	172	2	,	,	PUNCT
ijassa-1481	172	3	the	the	DET
ijassa-1481	172	4	count	count	NOUN
ijassa-1481	172	5	of	of	ADP
ijassa-1481	172	6	residues	residue	NOUN
ijassa-1481	172	7	through	through	ADP
ijassa-1481	172	8	which	which	PRON
ijassa-1481	172	9	the	the	DET
ijassa-1481	172	10	number	number	NOUN
ijassa-1481	172	11	x	x	PUNCT
ijassa-1481	172	12	,	,	PUNCT
ijassa-1481	172	13	is	be	AUX
ijassa-1481	172	14	represented	represent	VERB
ijassa-1481	172	15	is	be	AUX
ijassa-1481	172	16	equal	equal	ADJ
ijassa-1481	172	17	to	to	ADP
ijassa-1481	172	18	ω	ω	NUM
ijassa-1481	172	19	in	in	ADP
ijassa-1481	172	20	this	this	DET
ijassa-1481	172	21	case	case	NOUN
ijassa-1481	172	22	.	.	PUNCT
ijassa-1481	173	1	writing	write	VERB
ijassa-1481	173	2	the	the	DET
ijassa-1481	173	3	argument	argument	NOUN
ijassa-1481	173	4	|x|+pn	|x|+pn	PUNCT
ijassa-1481	173	5	means	mean	VERB
ijassa-1481	173	6	that	that	SCONJ
ijassa-1481	173	7	x	x	SYM
ijassa-1481	173	8	∈	∈	PROPN
ijassa-1481	173	9	|	|	NOUN
ijassa-1481	173	10	·	·	PUNCT
ijassa-1481	173	11	|+pn	|+pn	X
ijassa-1481	173	12	.	.	PUNCT
ijassa-1481	174	1	wpn	wpn	PROPN
ijassa-1481	174	2	(	(	PUNCT
ijassa-1481	174	3	|x|	|x|	PROPN
ijassa-1481	174	4	)	)	PUNCT
ijassa-1481	175	1	=	=	PUNCT
ijassa-1481	176	1	n∑	n∑	NOUN
ijassa-1481	176	2	i=1	i=1	X
ijassa-1481	177	1	σi	σi	X
ijassa-1481	177	2	(	(	PUNCT
ijassa-1481	177	3	xi	xi	PROPN
ijassa-1481	177	4	)	)	PUNCT
ijassa-1481	177	5	,	,	PUNCT
ijassa-1481	177	6	where	where	SCONJ
ijassa-1481	177	7	σi	σi	AUX
ijassa-1481	177	8	=	=	X
ijassa-1481	177	9	{	{	PUNCT
ijassa-1481	177	10	0	0	NUM
ijassa-1481	177	11	,	,	PUNCT
ijassa-1481	177	12	if	if	SCONJ
ijassa-1481	177	13	xi	xi	ADP
ijassa-1481	177	14	=	=	SYM
ijassa-1481	177	15	0	0	NUM
ijassa-1481	177	16	1	1	NUM
ijassa-1481	177	17	,	,	PUNCT
ijassa-1481	177	18	if	if	SCONJ
ijassa-1481	177	19	xi	xi	ADP
ijassa-1481	177	20	̸=	̸=	PROPN
ijassa-1481	177	21	0	0	NUM
ijassa-1481	177	22	utilizing	utilize	VERB
ijassa-1481	177	23	this	this	DET
ijassa-1481	177	24	delineation	delineation	NOUN
ijassa-1481	177	25	of	of	ADP
ijassa-1481	177	26	a	a	DET
ijassa-1481	177	27	number	number	NOUN
ijassa-1481	177	28	’s	’s	PART
ijassa-1481	177	29	weight	weight	NOUN
ijassa-1481	177	30	,	,	PUNCT
ijassa-1481	177	31	wpn(|x|+pn	wpn(|x|+pn	PROPN
ijassa-1481	177	32	)	)	PUNCT
ijassa-1481	177	33	it	it	PRON
ijassa-1481	177	34	is	be	AUX
ijassa-1481	177	35	possible	possible	ADJ
ijassa-1481	177	36	to	to	PART
ijassa-1481	177	37	compute	compute	VERB
ijassa-1481	177	38	it	it	PRON
ijassa-1481	177	39	both	both	CCONJ
ijassa-1481	177	40	directly	directly	ADV
ijassa-1481	177	41	on	on	ADP
ijassa-1481	177	42	x	x	X
ijassa-1481	177	43	,	,	PUNCT
ijassa-1481	177	44	and	and	CCONJ
ijassa-1481	177	45	on	on	ADP
ijassa-1481	177	46	the	the	DET
ijassa-1481	177	47	set	set	NOUN
ijassa-1481	177	48	of	of	ADP
ijassa-1481	177	49	residuals	residual	NOUN
ijassa-1481	177	50	x1	x1	PROPN
ijassa-1481	177	51	,	,	PUNCT
ijassa-1481	177	52	x2	x2	PROPN
ijassa-1481	177	53	,	,	PUNCT
ijassa-1481	177	54	.	.	PUNCT
ijassa-1481	177	55	.	.	PUNCT
ijassa-1481	178	1	.	.	PUNCT
ijassa-1481	179	1	,	,	PUNCT
ijassa-1481	179	2	xn	xn	X
ijassa-1481	179	3	.	.	PUNCT
ijassa-1481	180	1	the	the	DET
ijassa-1481	180	2	concept	concept	NOUN
ijassa-1481	180	3	of	of	ADP
ijassa-1481	180	4	weight	weight	NOUN
ijassa-1481	180	5	attributed	attribute	VERB
ijassa-1481	180	6	to	to	ADP
ijassa-1481	180	7	a	a	DET
ijassa-1481	180	8	number	number	NOUN
ijassa-1481	180	9	x	x	PRON
ijassa-1481	180	10	depicted	depict	VERB
ijassa-1481	180	11	using	use	VERB
ijassa-1481	180	12	residues	residue	NOUN
ijassa-1481	180	13	can	can	AUX
ijassa-1481	180	14	be	be	AUX
ijassa-1481	180	15	employed	employ	VERB
ijassa-1481	180	16	to	to	PART
ijassa-1481	180	17	establish	establish	VERB
ijassa-1481	180	18	the	the	DET
ijassa-1481	180	19	concept	concept	NOUN
ijassa-1481	180	20	of	of	ADP
ijassa-1481	180	21	distance	distance	NOUN
ijassa-1481	180	22	between	between	ADP
ijassa-1481	180	23	two	two	NUM
ijassa-1481	180	24	points	point	NOUN
ijassa-1481	180	25	in	in	ADP
ijassa-1481	180	26	a	a	DET
ijassa-1481	180	27	space	space	NOUN
ijassa-1481	180	28	,	,	PUNCT
ijassa-1481	180	29	where	where	SCONJ
ijassa-1481	180	30	each	each	DET
ijassa-1481	180	31	point	point	NOUN
ijassa-1481	180	32	corresponds	correspond	VERB
ijassa-1481	180	33	to	to	ADP
ijassa-1481	180	34	the	the	DET
ijassa-1481	180	35	numbers	number	NOUN
ijassa-1481	180	36	x1	x1	PROPN
ijassa-1481	180	37	and	and	CCONJ
ijassa-1481	180	38	x2	x2	PROPN
ijassa-1481	181	1	[	[	X
ijassa-1481	181	2	11	11	NUM
ijassa-1481	181	3	]	]	PUNCT
ijassa-1481	181	4	.	.	PUNCT
ijassa-1481	182	1	we	we	PRON
ijassa-1481	182	2	denote	denote	VERB
ijassa-1481	182	3	the	the	DET
ijassa-1481	182	4	distance	distance	NOUN
ijassa-1481	182	5	dx1,x2	dx1,x2	NOUN
ijassa-1481	182	6	between	between	ADP
ijassa-1481	182	7	points	point	NOUN
ijassa-1481	182	8	in	in	ADP
ijassa-1481	182	9	space	space	NOUN
ijassa-1481	182	10	x1	x1	PROPN
ijassa-1481	182	11	and	and	CCONJ
ijassa-1481	182	12	x2	x2	PROPN
ijassa-1481	182	13	as	as	ADP
ijassa-1481	182	14	the	the	DET
ijassa-1481	182	15	weight	weight	NOUN
ijassa-1481	182	16	of	of	ADP
ijassa-1481	182	17	the	the	DET
ijassa-1481	182	18	disparity	disparity	NOUN
ijassa-1481	182	19	between	between	ADP
ijassa-1481	182	20	x1	x1	PROPN
ijassa-1481	182	21	and	and	CCONJ
ijassa-1481	182	22	x2	x2	PROPN
ijassa-1481	182	23	.	.	PUNCT
ijassa-1481	183	1	dx1,x2	dx1,x2	PROPN
ijassa-1481	183	2	=	=	SYM
ijassa-1481	183	3	wpn(|x1	wpn(|x1	PROPN
ijassa-1481	183	4	−x2|+pn	−x2|+pn	NUM
ijassa-1481	183	5	)	)	PUNCT
ijassa-1481	183	6	copyright	copyright	NOUN
ijassa-1481	183	7	©	©	PROPN
ijassa-1481	183	8	2024	2024	NUM
ijassa-1481	183	9	assa	assa	NOUN
ijassa-1481	183	10	.	.	PUNCT
ijassa-1481	184	1	adv	adv	PROPN
ijassa-1481	184	2	syst	syst	PROPN
ijassa-1481	184	3	sci	sci	PROPN
ijassa-1481	184	4	appl	appl	PROPN
ijassa-1481	184	5	(	(	PUNCT
ijassa-1481	184	6	2024	2024	NUM
ijassa-1481	184	7	)	)	PUNCT
ijassa-1481	184	8	172	172	NUM
ijassa-1481	184	9	n.	n.	NOUN
ijassa-1481	184	10	kucherov	kucherov	PROPN
ijassa-1481	184	11	,	,	PUNCT
ijassa-1481	184	12	m.	m.	NOUN
ijassa-1481	184	13	babenko	babenko	PROPN
ijassa-1481	184	14	,	,	PUNCT
ijassa-1481	184	15	e.	e.	PROPN
ijassa-1481	184	16	shiriaev	shiriaev	PROPN
ijassa-1481	184	17	,	,	PUNCT
ijassa-1481	184	18	n.v	n.v	PROPN
ijassa-1481	184	19	.	.	PROPN
ijassa-1481	184	20	hung	hang	VERB
ijassa-1481	184	21	to	to	PART
ijassa-1481	184	22	ascertain	ascertain	VERB
ijassa-1481	184	23	the	the	DET
ijassa-1481	184	24	error	error	NOUN
ijassa-1481	184	25	-	-	PUNCT
ijassa-1481	184	26	correcting	correct	VERB
ijassa-1481	184	27	capabilities	capability	NOUN
ijassa-1481	184	28	of	of	ADP
ijassa-1481	184	29	the	the	DET
ijassa-1481	184	30	code	code	NOUN
ijassa-1481	184	31	,	,	PUNCT
ijassa-1481	184	32	we	we	PRON
ijassa-1481	184	33	calculate	calculate	VERB
ijassa-1481	184	34	the	the	DET
ijassa-1481	184	35	mean	mean	ADJ
ijassa-1481	184	36	weight	weight	NOUN
ijassa-1481	184	37	w	w	PROPN
ijassa-1481	184	38	pn(|	pn(|	PROPN
ijassa-1481	184	39	·	·	PUNCT
ijassa-1481	184	40	|+pn	|+pn	X
ijassa-1481	184	41	)	)	PUNCT
ijassa-1481	184	42	of	of	ADP
ijassa-1481	184	43	non	non	ADJ
ijassa-1481	184	44	-	-	ADJ
ijassa-1481	184	45	zero	zero	NUM
ijassa-1481	184	46	complexes	complex	NOUN
ijassa-1481	184	47	.	.	PUNCT
ijassa-1481	185	1	if	if	SCONJ
ijassa-1481	185	2	the	the	DET
ijassa-1481	185	3	value	value	NOUN
ijassa-1481	185	4	of	of	ADP
ijassa-1481	185	5	number	number	NOUN
ijassa-1481	185	6	x	x	PUNCT
ijassa-1481	185	7	is	be	AUX
ijassa-1481	185	8	modified	modify	VERB
ijassa-1481	185	9	within	within	ADP
ijassa-1481	185	10	the	the	DET
ijassa-1481	185	11	range	range	NOUN
ijassa-1481	185	12	|	|	ADV
ijassa-1481	185	13	·	·	PUNCT
ijassa-1481	185	14	|+pn	|+pn	NOUN
ijassa-1481	185	15	,	,	PUNCT
ijassa-1481	185	16	the	the	DET
ijassa-1481	185	17	division	division	NOUN
ijassa-1481	185	18	period	period	NOUN
ijassa-1481	185	19	of	of	ADP
ijassa-1481	185	20	zeros	zero	NOUN
ijassa-1481	185	21	becomes	become	VERB
ijassa-1481	185	22	pi	pi	NOUN
ijassa-1481	185	23	,	,	PUNCT
ijassa-1481	185	24	and	and	CCONJ
ijassa-1481	185	25	the	the	DET
ijassa-1481	185	26	count	count	NOUN
ijassa-1481	185	27	of	of	ADP
ijassa-1481	185	28	zeros	zero	NOUN
ijassa-1481	185	29	in	in	ADP
ijassa-1481	185	30	base	base	NOUN
ijassa-1481	185	31	pi	pi	NOUN
ijassa-1481	185	32	will	will	AUX
ijassa-1481	185	33	be	be	AUX
ijassa-1481	185	34	equivalent	equivalent	ADJ
ijassa-1481	185	35	to	to	ADP
ijassa-1481	185	36	ωi	ωi	PROPN
ijassa-1481	185	37	=	=	SYM
ijassa-1481	185	38	pk	pk	NOUN
ijassa-1481	185	39	pi	pi	NOUN
ijassa-1481	185	40	−	−	PROPN
ijassa-1481	185	41	1	1	NUM
ijassa-1481	185	42	,	,	PUNCT
ijassa-1481	185	43	(	(	PUNCT
ijassa-1481	185	44	i	i	NOUN
ijassa-1481	185	45	=	=	NOUN
ijassa-1481	185	46	1	1	NUM
ijassa-1481	185	47	,	,	PUNCT
ijassa-1481	185	48	k	k	NOUN
ijassa-1481	185	49	)	)	PUNCT
ijassa-1481	185	50	subsequently	subsequently	ADV
ijassa-1481	185	51	,	,	PUNCT
ijassa-1481	185	52	the	the	DET
ijassa-1481	185	53	quantity	quantity	NOUN
ijassa-1481	185	54	of	of	ADP
ijassa-1481	185	55	non	non	ADJ
ijassa-1481	185	56	-	-	ADJ
ijassa-1481	185	57	zero	zero	NUM
ijassa-1481	185	58	elements	element	NOUN
ijassa-1481	185	59	within	within	ADP
ijassa-1481	185	60	the	the	DET
ijassa-1481	185	61	base	base	NOUN
ijassa-1481	185	62	becomes	become	VERB
ijassa-1481	185	63	identical	identical	ADJ
ijassa-1481	185	64	to	to	ADP
ijassa-1481	185	65	ωi	ωi	PROPN
ijassa-1481	185	66	=	=	SYM
ijassa-1481	185	67	pk	pk	NOUN
ijassa-1481	185	68	−	−	PROPN
ijassa-1481	185	69	1−	1−	NUM
ijassa-1481	185	70	ωi	ωi	PROPN
ijassa-1481	185	71	=	=	SYM
ijassa-1481	185	72	pk	pk	NOUN
ijassa-1481	185	73	−	−	PROPN
ijassa-1481	185	74	pk	pk	NOUN
ijassa-1481	185	75	pi	pi	NOUN
ijassa-1481	185	76	the	the	DET
ijassa-1481	185	77	sum	sum	NOUN
ijassa-1481	185	78	of	of	ADP
ijassa-1481	185	79	weights	weight	NOUN
ijassa-1481	185	80	s	s	PROPN
ijassa-1481	185	81	of	of	ADP
ijassa-1481	185	82	residues	residue	NOUN
ijassa-1481	185	83	xi(i	xi(i	PUNCT
ijassa-1481	186	1	=	=	SYM
ijassa-1481	186	2	1	1	NUM
ijassa-1481	186	3	,	,	PUNCT
ijassa-1481	186	4	2	2	NUM
ijassa-1481	186	5	,	,	PUNCT
ijassa-1481	186	6	..	..	PUNCT
ijassa-1481	186	7	,	,	PUNCT
ijassa-1481	186	8	k	k	X
ijassa-1481	186	9	)	)	PUNCT
ijassa-1481	186	10	when	when	SCONJ
ijassa-1481	186	11	x	x	PRON
ijassa-1481	186	12	changes	change	VERB
ijassa-1481	186	13	from	from	ADP
ijassa-1481	186	14	zero	zero	NUM
ijassa-1481	186	15	to	to	ADP
ijassa-1481	186	16	pk	pk	NOUN
ijassa-1481	186	17	−	−	PROPN
ijassa-1481	186	18	1	1	NUM
ijassa-1481	186	19	is	be	AUX
ijassa-1481	186	20	determined	determine	VERB
ijassa-1481	186	21	from	from	ADP
ijassa-1481	186	22	the	the	DET
ijassa-1481	186	23	expression	expression	NOUN
ijassa-1481	186	24	s	s	PART
ijassa-1481	186	25	=	=	PUNCT
ijassa-1481	186	26	k∑	k∑	PROPN
ijassa-1481	186	27	i=1	i=1	PROPN
ijassa-1481	187	1	(	(	PUNCT
ijassa-1481	187	2	pk	pk	NOUN
ijassa-1481	187	3	−	−	PROPN
ijassa-1481	187	4	pk	pk	NOUN
ijassa-1481	187	5	pi	pi	NOUN
ijassa-1481	187	6	)	)	PUNCT
ijassa-1481	188	1	=	=	SYM
ijassa-1481	188	2	pk	pk	NOUN
ijassa-1481	188	3	(	(	PUNCT
ijassa-1481	188	4	k	k	PROPN
ijassa-1481	188	5	−	−	PROPN
ijassa-1481	188	6	k∑	k∑	PROPN
ijassa-1481	188	7	i=1	i=1	PROPN
ijassa-1481	188	8	1	1	NUM
ijassa-1481	188	9	pi	pi	NOUN
ijassa-1481	188	10	)	)	PUNCT
ijassa-1481	188	11	average	average	ADJ
ijassa-1481	188	12	weight	weight	NOUN
ijassa-1481	188	13	w	w	PROPN
ijassa-1481	188	14	pn(|	pn(|	PROPN
ijassa-1481	188	15	·	·	PUNCT
ijassa-1481	188	16	|+pn	|+pn	X
ijassa-1481	188	17	)	)	PUNCT
ijassa-1481	188	18	can	can	AUX
ijassa-1481	188	19	be	be	AUX
ijassa-1481	188	20	defined	define	VERB
ijassa-1481	188	21	as	as	ADP
ijassa-1481	188	22	w	w	PROPN
ijassa-1481	188	23	pn(|	pn(|	NOUN
ijassa-1481	188	24	·	·	PUNCT
ijassa-1481	188	25	|+pn	|+pn	X
ijassa-1481	188	26	)	)	PUNCT
ijassa-1481	189	1	=	=	SYM
ijassa-1481	189	2	s	s	PROPN
ijassa-1481	189	3	pk	pk	NOUN
ijassa-1481	189	4	−	−	PROPN
ijassa-1481	189	5	1	1	NUM
ijassa-1481	189	6	=	=	SYM
ijassa-1481	189	7	pk	pk	NOUN
ijassa-1481	189	8	pk	pk	NOUN
ijassa-1481	189	9	−	−	PROPN
ijassa-1481	189	10	1	1	NUM
ijassa-1481	189	11	·	·	PUNCT
ijassa-1481	189	12	(	(	PUNCT
ijassa-1481	189	13	k	k	X
ijassa-1481	189	14	−	−	PROPN
ijassa-1481	189	15	k∑	k∑	PROPN
ijassa-1481	190	1	i=1	i=1	PROPN
ijassa-1481	190	2	1	1	NUM
ijassa-1481	190	3	pi	pi	NOUN
ijassa-1481	190	4	)	)	PUNCT
ijassa-1481	190	5	the	the	DET
ijassa-1481	190	6	more	more	ADV
ijassa-1481	190	7	adept	adept	ADJ
ijassa-1481	190	8	the	the	DET
ijassa-1481	190	9	code	code	NOUN
ijassa-1481	190	10	is	be	AUX
ijassa-1481	190	11	in	in	ADP
ijassa-1481	190	12	error	error	NOUN
ijassa-1481	190	13	correction	correction	NOUN
ijassa-1481	190	14	,	,	PUNCT
ijassa-1481	190	15	the	the	PRON
ijassa-1481	190	16	greater	great	ADJ
ijassa-1481	190	17	the	the	DET
ijassa-1481	190	18	distinctions	distinction	NOUN
ijassa-1481	190	19	among	among	ADP
ijassa-1481	190	20	numbers	number	NOUN
ijassa-1481	190	21	within	within	ADP
ijassa-1481	190	22	the	the	DET
ijassa-1481	190	23	code	code	NOUN
ijassa-1481	190	24	representation	representation	NOUN
ijassa-1481	190	25	,	,	PUNCT
ijassa-1481	190	26	resulting	result	VERB
ijassa-1481	190	27	in	in	ADP
ijassa-1481	190	28	an	an	DET
ijassa-1481	190	29	increased	increase	VERB
ijassa-1481	190	30	code	code	NOUN
ijassa-1481	190	31	distance	distance	NOUN
ijassa-1481	190	32	.	.	PUNCT
ijassa-1481	191	1	consequently	consequently	ADV
ijassa-1481	191	2	,	,	PUNCT
ijassa-1481	191	3	the	the	DET
ijassa-1481	191	4	distance	distance	NOUN
ijassa-1481	191	5	will	will	AUX
ijassa-1481	191	6	vary	vary	VERB
ijassa-1481	191	7	between	between	ADP
ijassa-1481	191	8	distinct	distinct	ADJ
ijassa-1481	191	9	numbers	number	NOUN
ijassa-1481	191	10	.	.	PUNCT
ijassa-1481	192	1	when	when	SCONJ
ijassa-1481	192	2	we	we	PRON
ijassa-1481	192	3	compute	compute	VERB
ijassa-1481	192	4	the	the	DET
ijassa-1481	192	5	mean	mean	ADJ
ijassa-1481	192	6	weight	weight	NOUN
ijassa-1481	192	7	of	of	ADP
ijassa-1481	192	8	the	the	DET
ijassa-1481	192	9	numbers	number	NOUN
ijassa-1481	192	10	composing	compose	VERB
ijassa-1481	192	11	the	the	DET
ijassa-1481	192	12	null	null	ADJ
ijassa-1481	192	13	space	space	NOUN
ijassa-1481	192	14	,	,	PUNCT
ijassa-1481	192	15	the	the	DET
ijassa-1481	192	16	minimum	minimum	PROPN
ijassa-1481	192	17	code	code	NOUN
ijassa-1481	192	18	distance	distance	NOUN
ijassa-1481	192	19	will	will	AUX
ijassa-1481	192	20	always	always	ADV
ijassa-1481	192	21	remain	remain	VERB
ijassa-1481	192	22	below	below	ADP
ijassa-1481	192	23	the	the	DET
ijassa-1481	192	24	upper	upper	ADJ
ijassa-1481	192	25	limit	limit	NOUN
ijassa-1481	192	26	of	of	ADP
ijassa-1481	192	27	the	the	DET
ijassa-1481	192	28	minimum	minimum	ADJ
ijassa-1481	192	29	code	code	NOUN
ijassa-1481	192	30	distance	distance	NOUN
ijassa-1481	192	31	.	.	PUNCT
ijassa-1481	193	1	the	the	DET
ijassa-1481	193	2	minimal	minimal	ADJ
ijassa-1481	193	3	weight	weight	NOUN
ijassa-1481	193	4	of	of	ADP
ijassa-1481	193	5	elements	element	NOUN
ijassa-1481	193	6	within	within	ADP
ijassa-1481	193	7	the	the	DET
ijassa-1481	193	8	null	null	ADJ
ijassa-1481	193	9	code	code	NOUN
ijassa-1481	193	10	space	space	NOUN
ijassa-1481	193	11	is	be	AUX
ijassa-1481	193	12	equivalent	equivalent	ADJ
ijassa-1481	193	13	to	to	ADP
ijassa-1481	193	14	dmin	dmin	PROPN
ijassa-1481	193	15	=	=	PROPN
ijassa-1481	193	16	min{wpn(|	min{wpn(|	PROPN
ijassa-1481	193	17	·	·	PUNCT
ijassa-1481	193	18	|+pn	|+pn	X
ijassa-1481	193	19	)	)	PUNCT
ijassa-1481	193	20	]	]	PUNCT
ijassa-1481	194	1	=	=	PUNCT
ijassa-1481	194	2	ω	ω	NUM
ijassa-1481	194	3	−	−	PROPN
ijassa-1481	195	1	k	k	NOUN
ijassa-1481	196	1	+	+	PUNCT
ijassa-1481	196	2	1	1	NUM
ijassa-1481	196	3	≈	≈	NOUN
ijassa-1481	196	4	r	r	NOUN
ijassa-1481	196	5	+	+	NOUN
ijassa-1481	196	6	1	1	NUM
ijassa-1481	196	7	when	when	SCONJ
ijassa-1481	196	8	dmin	dmin	PROPN
ijassa-1481	196	9	≈	≈	PROPN
ijassa-1481	196	10	r	r	PROPN
ijassa-1481	196	11	+	+	NOUN
ijassa-1481	196	12	1	1	NUM
ijassa-1481	196	13	we	we	PRON
ijassa-1481	196	14	can	can	AUX
ijassa-1481	196	15	ensure	ensure	VERB
ijassa-1481	196	16	the	the	DET
ijassa-1481	196	17	detection	detection	NOUN
ijassa-1481	196	18	of	of	ADP
ijassa-1481	196	19	any	any	DET
ijassa-1481	196	20	error	error	NOUN
ijassa-1481	196	21	.	.	PUNCT
ijassa-1481	197	1	simultaneously	simultaneously	ADV
ijassa-1481	197	2	,	,	PUNCT
ijassa-1481	197	3	the	the	DET
ijassa-1481	197	4	utilization	utilization	NOUN
ijassa-1481	197	5	of	of	ADP
ijassa-1481	197	6	rns	rn	NOUN
ijassa-1481	197	7	empowers	empower	VERB
ijassa-1481	197	8	us	we	PRON
ijassa-1481	197	9	to	to	PART
ijassa-1481	197	10	identify	identify	VERB
ijassa-1481	197	11	a	a	DET
ijassa-1481	197	12	greater	great	ADJ
ijassa-1481	197	13	quantity	quantity	NOUN
ijassa-1481	197	14	of	of	ADP
ijassa-1481	197	15	errors	error	NOUN
ijassa-1481	197	16	.	.	PUNCT
ijassa-1481	198	1	as	as	ADP
ijassa-1481	198	2	an	an	DET
ijassa-1481	198	3	illustration	illustration	NOUN
ijassa-1481	198	4	,	,	PUNCT
ijassa-1481	198	5	when	when	SCONJ
ijassa-1481	198	6	utilizing	utilize	VERB
ijassa-1481	198	7	rns	rn	NOUN
ijassa-1481	198	8	with	with	ADP
ijassa-1481	198	9	a	a	DET
ijassa-1481	198	10	single	single	ADJ
ijassa-1481	198	11	supplementary	supplementary	ADJ
ijassa-1481	198	12	base	base	NOUN
ijassa-1481	198	13	exceeding	exceed	VERB
ijassa-1481	198	14	the	the	DET
ijassa-1481	198	15	values	value	NOUN
ijassa-1481	198	16	of	of	ADP
ijassa-1481	198	17	any	any	DET
ijassa-1481	198	18	worker	worker	NOUN
ijassa-1481	198	19	,	,	PUNCT
ijassa-1481	198	20	we	we	PRON
ijassa-1481	198	21	can	can	AUX
ijassa-1481	198	22	detect	detect	VERB
ijassa-1481	198	23	100	100	NUM
ijassa-1481	198	24	%	%	NOUN
ijassa-1481	198	25	of	of	ADP
ijassa-1481	198	26	single	single	ADJ
ijassa-1481	198	27	errors	error	NOUN
ijassa-1481	198	28	and	and	CCONJ
ijassa-1481	198	29	95	95	NUM
ijassa-1481	198	30	%	%	NOUN
ijassa-1481	198	31	of	of	ADP
ijassa-1481	198	32	double	double	ADJ
ijassa-1481	198	33	errors	error	NOUN
ijassa-1481	198	34	.	.	PUNCT
ijassa-1481	199	1	additionally	additionally	ADV
ijassa-1481	199	2	,	,	PUNCT
ijassa-1481	199	3	it	it	PRON
ijassa-1481	199	4	’s	’	VERB
ijassa-1481	199	5	feasible	feasible	ADJ
ijassa-1481	199	6	to	to	PART
ijassa-1481	199	7	identify	identify	VERB
ijassa-1481	199	8	all	all	DET
ijassa-1481	199	9	errors	error	NOUN
ijassa-1481	199	10	of	of	ADP
ijassa-1481	199	11	a	a	DET
ijassa-1481	199	12	multiplicity	multiplicity	NOUN
ijassa-1481	199	13	t	t	NOUN
ijassa-1481	199	14	if	if	SCONJ
ijassa-1481	199	15	t	t	PROPN
ijassa-1481	199	16	<	<	X
ijassa-1481	199	17	dmin	dmin	PROPN
ijassa-1481	199	18	.	.	PUNCT
ijassa-1481	200	1	this	this	PRON
ijassa-1481	200	2	signifies	signify	VERB
ijassa-1481	200	3	that	that	PRON
ijassa-1481	200	4	rns	rn	NOUN
ijassa-1481	200	5	facilitates	facilitate	VERB
ijassa-1481	200	6	the	the	DET
ijassa-1481	200	7	detection	detection	NOUN
ijassa-1481	200	8	of	of	ADP
ijassa-1481	200	9	errors	error	NOUN
ijassa-1481	200	10	with	with	ADP
ijassa-1481	200	11	a	a	DET
ijassa-1481	200	12	specific	specific	ADJ
ijassa-1481	200	13	multiplicity	multiplicity	NOUN
ijassa-1481	200	14	,	,	PUNCT
ijassa-1481	200	15	and	and	CCONJ
ijassa-1481	200	16	the	the	DET
ijassa-1481	200	17	ascertainable	ascertainable	ADJ
ijassa-1481	200	18	error	error	NOUN
ijassa-1481	200	19	multiplicities	multiplicity	NOUN
ijassa-1481	200	20	are	be	AUX
ijassa-1481	200	21	determined	determine	VERB
ijassa-1481	200	22	by	by	ADP
ijassa-1481	200	23	the	the	DET
ijassa-1481	200	24	minimum	minimum	PROPN
ijassa-1481	200	25	code	code	PROPN
ijassa-1481	200	26	distance	distance	NOUN
ijassa-1481	200	27	dmin	dmin	PROPN
ijassa-1481	200	28	.	.	PROPN
ijassa-1481	200	29	3.3	3.3	NUM
ijassa-1481	200	30	.	.	PUNCT
ijassa-1481	201	1	algorithms	algorithm	NOUN
ijassa-1481	201	2	for	for	ADP
ijassa-1481	201	3	error	error	NOUN
ijassa-1481	201	4	detection	detection	NOUN
ijassa-1481	201	5	in	in	ADP
ijassa-1481	201	6	rns	rn	NOUN
ijassa-1481	201	7	suppose	suppose	VERB
ijassa-1481	201	8	a	a	DET
ijassa-1481	201	9	number	number	NOUN
ijassa-1481	201	10	x	x	NOUN
ijassa-1481	201	11	=	=	SYM
ijassa-1481	201	12	(	(	PUNCT
ijassa-1481	201	13	x1	x1	PROPN
ijassa-1481	201	14	,	,	PUNCT
ijassa-1481	201	15	x2	x2	PROPN
ijassa-1481	201	16	,	,	PUNCT
ijassa-1481	201	17	.	.	PUNCT
ijassa-1481	201	18	.	.	PUNCT
ijassa-1481	202	1	.	.	PUNCT
ijassa-1481	203	1	,	,	PUNCT
ijassa-1481	203	2	xn	xn	X
ijassa-1481	203	3	)	)	PUNCT
ijassa-1481	203	4	has	have	AUX
ijassa-1481	203	5	undergone	undergo	VERB
ijassa-1481	203	6	a	a	DET
ijassa-1481	203	7	distortion	distortion	NOUN
ijassa-1481	203	8	and	and	CCONJ
ijassa-1481	203	9	instead	instead	ADV
ijassa-1481	203	10	of	of	ADP
ijassa-1481	203	11	a	a	DET
ijassa-1481	203	12	number	number	NOUN
ijassa-1481	203	13	x	x	NOUN
ijassa-1481	203	14	we	we	PRON
ijassa-1481	203	15	have	have	VERB
ijassa-1481	203	16	x̃	x̃	PROPN
ijassa-1481	203	17	=	=	SYM
ijassa-1481	203	18	(	(	PUNCT
ijassa-1481	203	19	x̃1	x̃1	PROPN
ijassa-1481	203	20	,	,	PUNCT
ijassa-1481	203	21	x̃2	x̃2	PROPN
ijassa-1481	203	22	,	,	PUNCT
ijassa-1481	203	23	.	.	PUNCT
ijassa-1481	203	24	.	.	PUNCT
ijassa-1481	204	1	.	.	PUNCT
ijassa-1481	205	1	,	,	PUNCT
ijassa-1481	205	2	x̃n	x̃n	PROPN
ijassa-1481	205	3	)	)	PUNCT
ijassa-1481	205	4	,	,	PUNCT
ijassa-1481	205	5	such	such	ADJ
ijassa-1481	205	6	that	that	SCONJ
ijassa-1481	205	7	x̃	x̃	PROPN
ijassa-1481	205	8	∈	∈	PROPN
ijassa-1481	205	9	|	|	ADV
ijassa-1481	205	10	·	·	PUNCT
ijassa-1481	205	11	|+pn	|+pn	X
ijassa-1481	205	12	.	.	PUNCT
ijassa-1481	206	1	let	let	VERB
ijassa-1481	206	2	us	we	PRON
ijassa-1481	206	3	compute	compute	VERB
ijassa-1481	206	4	the	the	DET
ijassa-1481	206	5	difference	difference	NOUN
ijassa-1481	206	6	e	e	NOUN
ijassa-1481	206	7	beetwin	beetwin	VERB
ijassa-1481	206	8	x̃	x̃	PROPN
ijassa-1481	206	9	and	and	CCONJ
ijassa-1481	206	10	x	x	INTJ
ijassa-1481	206	11	,	,	PUNCT
ijassa-1481	206	12	which	which	PRON
ijassa-1481	206	13	will	will	AUX
ijassa-1481	206	14	determine	determine	VERB
ijassa-1481	206	15	the	the	DET
ijassa-1481	206	16	magnitude	magnitude	NOUN
ijassa-1481	206	17	of	of	ADP
ijassa-1481	206	18	the	the	DET
ijassa-1481	206	19	error	error	NOUN
ijassa-1481	206	20	e	e	NOUN
ijassa-1481	206	21	=	=	SYM
ijassa-1481	206	22	|x̃−	|x̃−	X
ijassa-1481	206	23	x|+pn	x|+pn	PROPN
ijassa-1481	206	24	since	since	SCONJ
ijassa-1481	206	25	errors	error	NOUN
ijassa-1481	206	26	in	in	ADP
ijassa-1481	206	27	distinct	distinct	ADJ
ijassa-1481	206	28	digits	digit	NOUN
ijassa-1481	206	29	are	be	AUX
ijassa-1481	206	30	mutually	mutually	ADV
ijassa-1481	206	31	exclusive	exclusive	ADJ
ijassa-1481	206	32	,	,	PUNCT
ijassa-1481	206	33	it	it	PRON
ijassa-1481	206	34	becomes	become	VERB
ijassa-1481	206	35	viable	viable	ADJ
ijassa-1481	206	36	to	to	PART
ijassa-1481	206	37	illustrate	illustrate	VERB
ijassa-1481	206	38	e	e	NOUN
ijassa-1481	206	39	in	in	ADP
ijassa-1481	206	40	a	a	DET
ijassa-1481	206	41	manner	manner	NOUN
ijassa-1481	206	42	akin	akin	ADJ
ijassa-1481	206	43	to	to	ADP
ijassa-1481	206	44	representing	represent	VERB
ijassa-1481	206	45	a	a	DET
ijassa-1481	206	46	number	number	NOUN
ijassa-1481	206	47	x	x	PUNCT
ijassa-1481	206	48	,	,	PUNCT
ijassa-1481	206	49	i.e.	i.e.	X
ijassa-1481	206	50	,	,	PUNCT
ijassa-1481	206	51	by	by	ADP
ijassa-1481	206	52	residues	residue	NOUN
ijassa-1481	207	1	e	e	NOUN
ijassa-1481	207	2	=	=	SYM
ijassa-1481	207	3	(	(	PUNCT
ijassa-1481	207	4	e1	e1	PROPN
ijassa-1481	207	5	,	,	PUNCT
ijassa-1481	207	6	e2	e2	PROPN
ijassa-1481	207	7	,	,	PUNCT
ijassa-1481	207	8	.	.	PUNCT
ijassa-1481	207	9	.	.	PUNCT
ijassa-1481	208	1	.	.	PUNCT
ijassa-1481	209	1	,	,	PUNCT
ijassa-1481	209	2	en	en	X
ijassa-1481	209	3	)	)	PUNCT
ijassa-1481	209	4	which	which	PRON
ijassa-1481	209	5	will	will	AUX
ijassa-1481	209	6	be	be	AUX
ijassa-1481	209	7	defined	define	VERB
ijassa-1481	209	8	ei	ei	NOUN
ijassa-1481	209	9	=	=	PUNCT
ijassa-1481	209	10	|x̃i	|x̃i	NOUN
ijassa-1481	210	1	−	−	PROPN
ijassa-1481	210	2	xi|+pn	xi|+pn	X
ijassa-1481	210	3	.	.	PUNCT
ijassa-1481	211	1	copyright	copyright	NOUN
ijassa-1481	211	2	©	©	PROPN
ijassa-1481	211	3	2024	2024	NUM
ijassa-1481	211	4	assa	assa	NOUN
ijassa-1481	211	5	.	.	PUNCT
ijassa-1481	212	1	adv	adv	PROPN
ijassa-1481	212	2	syst	syst	PROPN
ijassa-1481	212	3	sci	sci	PROPN
ijassa-1481	212	4	appl	appl	PROPN
ijassa-1481	212	5	(	(	PUNCT
ijassa-1481	212	6	2024	2024	NUM
ijassa-1481	212	7	)	)	PUNCT
ijassa-1481	212	8	data	datum	NOUN
ijassa-1481	212	9	storage	storage	NOUN
ijassa-1481	212	10	with	with	ADP
ijassa-1481	212	11	increased	increase	VERB
ijassa-1481	212	12	survivability	survivability	NOUN
ijassa-1481	212	13	and	and	CCONJ
ijassa-1481	212	14	reliability	reliability	NOUN
ijassa-1481	212	15	...	...	PUNCT
ijassa-1481	212	16	173	173	NUM
ijassa-1481	212	17	from	from	ADP
ijassa-1481	212	18	the	the	DET
ijassa-1481	212	19	accepted	accept	VERB
ijassa-1481	212	20	residuals	residual	NOUN
ijassa-1481	212	21	x̃1	x̃1	PROPN
ijassa-1481	212	22	,	,	PUNCT
ijassa-1481	212	23	x̃2	x̃2	PROPN
ijassa-1481	212	24	,	,	PUNCT
ijassa-1481	212	25	.	.	PUNCT
ijassa-1481	212	26	.	.	PUNCT
ijassa-1481	212	27	.	.	PUNCT
ijassa-1481	213	1	,	,	PUNCT
ijassa-1481	213	2	x̃n	x̃n	VERB
ijassa-1481	214	1	we	we	PRON
ijassa-1481	214	2	calculate	calculate	VERB
ijassa-1481	214	3	the	the	DET
ijassa-1481	214	4	number	number	NOUN
ijassa-1481	214	5	x̃	x̃	PROPN
ijassa-1481	214	6	by	by	ADP
ijassa-1481	214	7	solving	solve	VERB
ijassa-1481	214	8	systems	system	NOUN
ijassa-1481	214	9	of	of	ADP
ijassa-1481	214	10	comparisons	comparison	NOUN
ijassa-1481	214	11	x̃i	x̃i	PROPN
ijassa-1481	214	12	≡	≡	PROPN
ijassa-1481	214	13	x̃i(modpi	x̃i(modpi	PROPN
ijassa-1481	214	14	)	)	PUNCT
ijassa-1481	214	15	,	,	PUNCT
ijassa-1481	214	16	(	(	PUNCT
ijassa-1481	214	17	i	i	NOUN
ijassa-1481	214	18	=	=	NOUN
ijassa-1481	214	19	1	1	NUM
ijassa-1481	214	20	,	,	PUNCT
ijassa-1481	214	21	2	2	NUM
ijassa-1481	214	22	,	,	PUNCT
ijassa-1481	214	23	.	.	PUNCT
ijassa-1481	214	24	.	.	PUNCT
ijassa-1481	215	1	.	.	PUNCT
ijassa-1481	216	1	,	,	PUNCT
ijassa-1481	216	2	k	k	X
ijassa-1481	216	3	)	)	PUNCT
ijassa-1481	216	4	to	to	PART
ijassa-1481	216	5	address	address	VERB
ijassa-1481	216	6	this	this	DET
ijassa-1481	216	7	system	system	NOUN
ijassa-1481	216	8	of	of	ADP
ijassa-1481	216	9	comparisons	comparison	NOUN
ijassa-1481	216	10	,	,	PUNCT
ijassa-1481	216	11	we	we	PRON
ijassa-1481	216	12	will	will	AUX
ijassa-1481	216	13	employ	employ	VERB
ijassa-1481	216	14	the	the	DET
ijassa-1481	216	15	technique	technique	NOUN
ijassa-1481	216	16	of	of	ADP
ijassa-1481	216	17	orthogonalized	orthogonalized	ADJ
ijassa-1481	216	18	vectors	vector	NOUN
ijassa-1481	216	19	in	in	ADP
ijassa-1481	216	20	the	the	DET
ijassa-1481	216	21	following	follow	VERB
ijassa-1481	216	22	format	format	NOUN
ijassa-1481	216	23	bi	bi	NOUN
ijassa-1481	216	24	=	=	SYM
ijassa-1481	216	25	(	(	PUNCT
ijassa-1481	216	26	0	0	NUM
ijassa-1481	216	27	,	,	PUNCT
ijassa-1481	216	28	0	0	NUM
ijassa-1481	216	29	,	,	PUNCT
ijassa-1481	216	30	.	.	PUNCT
ijassa-1481	216	31	.	.	PUNCT
ijassa-1481	217	1	.	.	PUNCT
ijassa-1481	218	1	,	,	PUNCT
ijassa-1481	218	2	1	1	NUM
ijassa-1481	218	3	,	,	PUNCT
ijassa-1481	218	4	.	.	PUNCT
ijassa-1481	218	5	.	.	PUNCT
ijassa-1481	218	6	.	.	PUNCT
ijassa-1481	219	1	,	,	PUNCT
ijassa-1481	219	2	0	0	X
ijassa-1481	219	3	)	)	PUNCT
ijassa-1481	220	1	=	=	SYM
ijassa-1481	220	2	mipk	mipk	NOUN
ijassa-1481	220	3	pi	pi	NOUN
ijassa-1481	220	4	where	where	SCONJ
ijassa-1481	220	5	mi	mi	PROPN
ijassa-1481	220	6	∈	∈	PROPN
ijassa-1481	220	7	|	|	PROPN
ijassa-1481	220	8	·	·	PUNCT
ijassa-1481	220	9	|+pi	|+pi	NOUN
ijassa-1481	220	10	such	such	ADJ
ijassa-1481	220	11	that	that	SCONJ
ijassa-1481	220	12	bi	bi	PROPN
ijassa-1481	220	13	≡	≡	PROPN
ijassa-1481	220	14	1(modpi	1(modpi	NUM
ijassa-1481	220	15	)	)	PUNCT
ijassa-1481	220	16	.	.	PUNCT
ijassa-1481	221	1	by	by	ADP
ijassa-1481	221	2	utilizing	utilize	VERB
ijassa-1481	221	3	orthogonalized	orthogonalized	ADJ
ijassa-1481	221	4	vectors	vector	NOUN
ijassa-1481	221	5	,	,	PUNCT
ijassa-1481	221	6	the	the	DET
ijassa-1481	221	7	number	number	NOUN
ijassa-1481	221	8	x	x	PUNCT
ijassa-1481	221	9	can	can	AUX
ijassa-1481	221	10	be	be	AUX
ijassa-1481	221	11	expressed	express	VERB
ijassa-1481	221	12	in	in	ADP
ijassa-1481	221	13	the	the	DET
ijassa-1481	221	14	configuration	configuration	NOUN
ijassa-1481	221	15	x	x	PUNCT
ijassa-1481	222	1	=	=	PUNCT
ijassa-1481	222	2	k∑	k∑	PROPN
ijassa-1481	222	3	i=1	i=1	PROPN
ijassa-1481	223	1	xibi	xibi	PROPN
ijassa-1481	224	1	−	−	PROPN
ijassa-1481	224	2	rpk	rpk	NOUN
ijassa-1481	224	3	x(|x|+pk	x(|x|+pk	PROPN
ijassa-1481	224	4	)	)	PUNCT
ijassa-1481	225	1	pk	pk	NOUN
ijassa-1481	225	2	where	where	SCONJ
ijassa-1481	225	3	rpk	rpk	NOUN
ijassa-1481	225	4	(	(	PUNCT
ijassa-1481	225	5	|x|+pk	|x|+pk	PROPN
ijassa-1481	225	6	)	)	PUNCT
ijassa-1481	225	7	–	–	PUNCT
ijassa-1481	225	8	core	core	NOUN
ijassa-1481	225	9	function	function	NOUN
ijassa-1481	225	10	[	[	X
ijassa-1481	225	11	11–13	11–13	NUM
ijassa-1481	225	12	]	]	X
ijassa-1481	225	13	,	,	PUNCT
ijassa-1481	225	14	such	such	ADJ
ijassa-1481	225	15	that	that	SCONJ
ijassa-1481	225	16	if	if	SCONJ
ijassa-1481	225	17	the	the	DET
ijassa-1481	225	18	argument	argument	NOUN
ijassa-1481	225	19	|x|+pk	|x|+pk	PUNCT
ijassa-1481	225	20	takes	take	VERB
ijassa-1481	225	21	such	such	DET
ijassa-1481	225	22	a	a	DET
ijassa-1481	225	23	value	value	NOUN
ijassa-1481	225	24	that	that	PRON
ijassa-1481	225	25	x	x	PRON
ijassa-1481	225	26	is	be	AUX
ijassa-1481	225	27	computed	compute	VERB
ijassa-1481	225	28	using	use	VERB
ijassa-1481	225	29	orthonormalized	orthonormalize	VERB
ijassa-1481	225	30	vectors	vector	NOUN
ijassa-1481	225	31	x	x	SYM
ijassa-1481	225	32	∈	∈	PROPN
ijassa-1481	225	33	|	|	ADV
ijassa-1481	225	34	·	·	PUNCT
ijassa-1481	225	35	|+pk	|+pk	NOUN
ijassa-1481	225	36	.	.	PUNCT
ijassa-1481	226	1	after	after	ADP
ijassa-1481	226	2	computing	compute	VERB
ijassa-1481	226	3	the	the	DET
ijassa-1481	226	4	value	value	NOUN
ijassa-1481	226	5	of	of	ADP
ijassa-1481	226	6	x̃	x̃	PROPN
ijassa-1481	226	7	determine	determine	VERB
ijassa-1481	226	8	the	the	DET
ijassa-1481	226	9	values	value	NOUN
ijassa-1481	226	10	of	of	ADP
ijassa-1481	226	11	the	the	DET
ijassa-1481	226	12	residues	residue	NOUN
ijassa-1481	226	13	x̃	x̃	PROPN
ijassa-1481	227	1	=	=	SYM
ijassa-1481	227	2	(	(	PUNCT
ijassa-1481	227	3	x̃1	x̃1	PROPN
ijassa-1481	227	4	,	,	PUNCT
ijassa-1481	227	5	x̃2	x̃2	PROPN
ijassa-1481	227	6	,	,	PUNCT
ijassa-1481	227	7	.	.	PUNCT
ijassa-1481	227	8	.	.	PUNCT
ijassa-1481	227	9	.	.	PUNCT
ijassa-1481	228	1	,	,	PUNCT
ijassa-1481	228	2	x̃n	x̃n	PROPN
ijassa-1481	228	3	)	)	PUNCT
ijassa-1481	228	4	of	of	ADP
ijassa-1481	228	5	this	this	DET
ijassa-1481	228	6	number	number	NOUN
ijassa-1481	228	7	by	by	ADP
ijassa-1481	228	8	the	the	DET
ijassa-1481	228	9	pk+1	pk+1	NOUN
ijassa-1481	228	10	,	,	PUNCT
ijassa-1481	228	11	.	.	PUNCT
ijassa-1481	228	12	.	.	PUNCT
ijassa-1481	229	1	.	.	PUNCT
ijassa-1481	230	1	,	,	PUNCT
ijassa-1481	230	2	pn	pn	PROPN
ijassa-1481	230	3	.	.	PROPN
ijassa-1481	230	4	syndrome	syndrome	PROPN
ijassa-1481	230	5	components	component	NOUN
ijassa-1481	230	6	are	be	AUX
ijassa-1481	230	7	defined	define	VERB
ijassa-1481	230	8	as	as	ADP
ijassa-1481	230	9	cj	cj	NOUN
ijassa-1481	230	10	=	=	NOUN
ijassa-1481	230	11	|xk+j	|xk+j	NUM
ijassa-1481	230	12	−	−	PROPN
ijassa-1481	231	1	x̃k+j|+pk+j	x̃k+j|+pk+j	INTJ
ijassa-1481	231	2	,	,	PUNCT
ijassa-1481	231	3	j	j	PROPN
ijassa-1481	231	4	=	=	SYM
ijassa-1481	231	5	1	1	NUM
ijassa-1481	231	6	,	,	PUNCT
ijassa-1481	231	7	2	2	NUM
ijassa-1481	231	8	,	,	PUNCT
ijassa-1481	231	9	.	.	PUNCT
ijassa-1481	231	10	.	.	PUNCT
ijassa-1481	231	11	.	.	PUNCT
ijassa-1481	232	1	,	,	PUNCT
ijassa-1481	232	2	n−	n−	NOUN
ijassa-1481	232	3	k	k	NOUN
ijassa-1481	232	4	we	we	PRON
ijassa-1481	232	5	will	will	AUX
ijassa-1481	232	6	show	show	VERB
ijassa-1481	232	7	that	that	SCONJ
ijassa-1481	232	8	it	it	PRON
ijassa-1481	232	9	is	be	AUX
ijassa-1481	232	10	possible	possible	ADJ
ijassa-1481	232	11	to	to	PART
ijassa-1481	232	12	determine	determine	VERB
ijassa-1481	232	13	the	the	DET
ijassa-1481	232	14	fact	fact	NOUN
ijassa-1481	232	15	of	of	ADP
ijassa-1481	232	16	error	error	NOUN
ijassa-1481	232	17	occurrence	occurrence	NOUN
ijassa-1481	232	18	from	from	ADP
ijassa-1481	232	19	syndrome	syndrome	NOUN
ijassa-1481	232	20	components	component	NOUN
ijassa-1481	232	21	.	.	PUNCT
ijassa-1481	233	1	let	let	VERB
ijassa-1481	233	2	us	we	PRON
ijassa-1481	233	3	represent	represent	VERB
ijassa-1481	233	4	the	the	DET
ijassa-1481	233	5	number	number	NOUN
ijassa-1481	233	6	x	x	PUNCT
ijassa-1481	233	7	as	as	ADP
ijassa-1481	233	8	x̃	x̃	PROPN
ijassa-1481	233	9	=	=	PROPN
ijassa-1481	233	10	|x	|x	PROPN
ijassa-1481	233	11	+	+	CCONJ
ijassa-1481	233	12	e|+pk	e|+pk	NOUN
ijassa-1481	233	13	suppose	suppose	VERB
ijassa-1481	233	14	that	that	SCONJ
ijassa-1481	233	15	only	only	ADV
ijassa-1481	233	16	residuals	residual	NOUN
ijassa-1481	233	17	on	on	ADP
ijassa-1481	233	18	bases	basis	NOUN
ijassa-1481	233	19	p1	p1	NOUN
ijassa-1481	233	20	,	,	PUNCT
ijassa-1481	233	21	p2	p2	NOUN
ijassa-1481	233	22	,	,	PUNCT
ijassa-1481	233	23	.	.	PUNCT
ijassa-1481	233	24	.	.	PUNCT
ijassa-1481	233	25	.	.	PUNCT
ijassa-1481	234	1	,	,	PUNCT
ijassa-1481	234	2	pk	pk	NOUN
ijassa-1481	234	3	,	,	PUNCT
ijassa-1481	234	4	which	which	PRON
ijassa-1481	234	5	we	we	PRON
ijassa-1481	234	6	consider	consider	VERB
ijassa-1481	234	7	informational	informational	ADJ
ijassa-1481	234	8	,	,	PUNCT
ijassa-1481	234	9	are	be	AUX
ijassa-1481	234	10	affected	affect	VERB
ijassa-1481	234	11	by	by	ADP
ijassa-1481	234	12	errors	error	NOUN
ijassa-1481	234	13	.	.	PUNCT
ijassa-1481	235	1	with	with	ADP
ijassa-1481	235	2	this	this	PRON
ijassa-1481	235	3	in	in	ADP
ijassa-1481	235	4	mind	mind	NOUN
ijassa-1481	235	5	.	.	PUNCT
ijassa-1481	236	1	cj	cj	X
ijassa-1481	237	1	=	=	PUNCT
ijassa-1481	237	2	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ijassa-1481	237	3	∣∣∣∣∣∑	∣∣∣∣∣∑	PROPN
ijassa-1481	237	4	ϕ∈jk	ϕ∈jk	PROPN
ijassa-1481	237	5	eϕbϕ	eϕbϕ	ADV
ijassa-1481	237	6	∣∣∣∣∣	∣∣∣∣∣	ADP
ijassa-1481	237	7	+	+	CCONJ
ijassa-1481	237	8	pk	pk	X
ijassa-1481	237	9	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ijassa-1481	237	10	+	+	X
ijassa-1481	237	11	pk+j	pk+j	ADJ
ijassa-1481	237	12	where	where	SCONJ
ijassa-1481	237	13	eϕ	eϕ	X
ijassa-1481	237	14	–	–	PUNCT
ijassa-1481	237	15	error	error	NOUN
ijassa-1481	237	16	value	value	NOUN
ijassa-1481	237	17	in	in	ADP
ijassa-1481	237	18	ϕ-digit	ϕ-digit	PROPN
ijassa-1481	237	19	,	,	PUNCT
ijassa-1481	237	20	jk	jk	PROPN
ijassa-1481	237	21	–	–	PUNCT
ijassa-1481	237	22	set	set	NOUN
ijassa-1481	237	23	formed	form	VERB
ijassa-1481	237	24	from	from	ADP
ijassa-1481	237	25	the	the	DET
ijassa-1481	237	26	numbers	number	NOUN
ijassa-1481	237	27	of	of	ADP
ijassa-1481	237	28	information	information	NOUN
ijassa-1481	237	29	bases	basis	NOUN
ijassa-1481	237	30	,	,	PUNCT
ijassa-1481	237	31	the	the	DET
ijassa-1481	237	32	residuals	residual	NOUN
ijassa-1481	237	33	of	of	ADP
ijassa-1481	237	34	which	which	PRON
ijassa-1481	237	35	are	be	AUX
ijassa-1481	237	36	distorted	distort	VERB
ijassa-1481	237	37	.	.	PUNCT
ijassa-1481	238	1	given	give	VERB
ijassa-1481	238	2	that	that	SCONJ
ijassa-1481	238	3	the	the	DET
ijassa-1481	238	4	value	value	NOUN
ijassa-1481	238	5	of	of	ADP
ijassa-1481	238	6	ek	ek	PROPN
ijassa-1481	238	7	is	be	AUX
ijassa-1481	238	8	non	non	ADJ
ijassa-1481	238	9	-	-	ADJ
ijassa-1481	238	10	zero	zero	NUM
ijassa-1481	238	11	and	and	CCONJ
ijassa-1481	238	12	the	the	DET
ijassa-1481	238	13	supplementary	supplementary	ADJ
ijassa-1481	238	14	bases	basis	NOUN
ijassa-1481	238	15	adhere	adhere	VERB
ijassa-1481	238	16	to	to	ADP
ijassa-1481	238	17	the	the	DET
ijassa-1481	238	18	criterion	criterion	NOUN
ijassa-1481	238	19	of	of	ADP
ijassa-1481	238	20	mutual	mutual	ADJ
ijassa-1481	238	21	coprimality	coprimality	NOUN
ijassa-1481	238	22	,	,	PUNCT
ijassa-1481	238	23	any	any	DET
ijassa-1481	238	24	instance	instance	NOUN
ijassa-1481	238	25	of	of	ADP
ijassa-1481	238	26	at	at	ADV
ijassa-1481	238	27	least	least	ADV
ijassa-1481	238	28	one	one	NUM
ijassa-1481	238	29	syndrome	syndrome	NOUN
ijassa-1481	238	30	component	component	NOUN
ijassa-1481	238	31	being	be	AUX
ijassa-1481	238	32	non	non	ADJ
ijassa-1481	238	33	-	-	ADJ
ijassa-1481	238	34	zero	zero	NUM
ijassa-1481	238	35	signifies	signify	VERB
ijassa-1481	238	36	the	the	DET
ijassa-1481	238	37	existence	existence	NOUN
ijassa-1481	238	38	of	of	ADP
ijassa-1481	238	39	an	an	DET
ijassa-1481	238	40	error	error	NOUN
ijassa-1481	238	41	.	.	PUNCT
ijassa-1481	239	1	similarly	similarly	ADV
ijassa-1481	239	2	,	,	PUNCT
ijassa-1481	239	3	it	it	PRON
ijassa-1481	239	4	can	can	AUX
ijassa-1481	239	5	be	be	AUX
ijassa-1481	239	6	demonstrated	demonstrate	VERB
ijassa-1481	239	7	that	that	SCONJ
ijassa-1481	239	8	error	error	NOUN
ijassa-1481	239	9	management	management	NOUN
ijassa-1481	239	10	is	be	AUX
ijassa-1481	239	11	attainable	attainable	ADJ
ijassa-1481	239	12	when	when	SCONJ
ijassa-1481	239	13	errors	error	NOUN
ijassa-1481	239	14	arise	arise	VERB
ijassa-1481	239	15	within	within	ADP
ijassa-1481	239	16	the	the	DET
ijassa-1481	239	17	control	control	NOUN
ijassa-1481	239	18	bases	basis	NOUN
ijassa-1481	239	19	,	,	PUNCT
ijassa-1481	239	20	either	either	CCONJ
ijassa-1481	239	21	individually	individually	ADV
ijassa-1481	239	22	or	or	CCONJ
ijassa-1481	239	23	collectively	collectively	ADV
ijassa-1481	239	24	.	.	PUNCT
ijassa-1481	240	1	3.4	3.4	NUM
ijassa-1481	240	2	.	.	PUNCT
ijassa-1481	240	3	error	error	NOUN
ijassa-1481	240	4	detection	detection	NOUN
ijassa-1481	240	5	algorithm	algorithm	NOUN
ijassa-1481	240	6	using	use	VERB
ijassa-1481	240	7	positional	positional	ADJ
ijassa-1481	240	8	features	feature	NOUN
ijassa-1481	240	9	error	error	NOUN
ijassa-1481	240	10	control	control	NOUN
ijassa-1481	240	11	for	for	ADP
ijassa-1481	240	12	any	any	DET
ijassa-1481	240	13	code	code	NOUN
ijassa-1481	240	14	is	be	AUX
ijassa-1481	240	15	reduced	reduce	VERB
ijassa-1481	240	16	to	to	ADP
ijassa-1481	240	17	finding	find	VERB
ijassa-1481	240	18	out	out	ADP
ijassa-1481	240	19	whether	whether	SCONJ
ijassa-1481	240	20	the	the	DET
ijassa-1481	240	21	message	message	NOUN
ijassa-1481	240	22	belongs	belong	VERB
ijassa-1481	240	23	to	to	ADP
ijassa-1481	240	24	the	the	DET
ijassa-1481	240	25	set	set	NOUN
ijassa-1481	240	26	of	of	ADP
ijassa-1481	240	27	numbers	number	NOUN
ijassa-1481	240	28	that	that	PRON
ijassa-1481	240	29	make	make	VERB
ijassa-1481	240	30	up	up	ADP
ijassa-1481	240	31	the	the	DET
ijassa-1481	240	32	zero	zero	NUM
ijassa-1481	240	33	space	space	NOUN
ijassa-1481	240	34	of	of	ADP
ijassa-1481	240	35	the	the	DET
ijassa-1481	240	36	code	code	NOUN
ijassa-1481	240	37	.	.	PUNCT
ijassa-1481	241	1	when	when	SCONJ
ijassa-1481	241	2	performing	perform	VERB
ijassa-1481	241	3	an	an	DET
ijassa-1481	241	4	error	error	NOUN
ijassa-1481	241	5	finding	finding	NOUN
ijassa-1481	241	6	operation	operation	NOUN
ijassa-1481	241	7	for	for	ADP
ijassa-1481	241	8	a	a	DET
ijassa-1481	241	9	number	number	NOUN
ijassa-1481	241	10	x	x	PUNCT
ijassa-1481	241	11	,	,	PUNCT
ijassa-1481	241	12	it	it	PRON
ijassa-1481	241	13	is	be	AUX
ijassa-1481	241	14	desirable	desirable	ADJ
ijassa-1481	241	15	that	that	SCONJ
ijassa-1481	241	16	this	this	DET
ijassa-1481	241	17	range	range	NOUN
ijassa-1481	241	18	be	be	VERB
ijassa-1481	241	19	close	close	ADJ
ijassa-1481	241	20	to	to	ADP
ijassa-1481	241	21	the	the	DET
ijassa-1481	241	22	range	range	NOUN
ijassa-1481	241	23	p	p	X
ijassa-1481	241	24	.	.	PUNCT
ijassa-1481	242	1	the	the	DET
ijassa-1481	242	2	error	error	NOUN
ijassa-1481	242	3	detection	detection	NOUN
ijassa-1481	242	4	process	process	NOUN
ijassa-1481	242	5	in	in	ADP
ijassa-1481	242	6	rns	rn	NOUN
ijassa-1481	242	7	is	be	AUX
ijassa-1481	242	8	reduced	reduce	VERB
ijassa-1481	242	9	to	to	ADP
ijassa-1481	242	10	comparing	compare	VERB
ijassa-1481	242	11	the	the	DET
ijassa-1481	242	12	number	number	NOUN
ijassa-1481	242	13	x̃	x̃	PROPN
ijassa-1481	242	14	with	with	ADP
ijassa-1481	242	15	the	the	DET
ijassa-1481	242	16	value	value	NOUN
ijassa-1481	242	17	of	of	ADP
ijassa-1481	242	18	the	the	DET
ijassa-1481	242	19	range	range	NOUN
ijassa-1481	242	20	pk	pk	NOUN
ijassa-1481	242	21	[	[	X
ijassa-1481	242	22	13	13	NUM
ijassa-1481	242	23	]	]	PUNCT
ijassa-1481	242	24	.	.	PUNCT
ijassa-1481	243	1	the	the	DET
ijassa-1481	243	2	computed	compute	VERB
ijassa-1481	243	3	positional	positional	ADJ
ijassa-1481	243	4	characteristic	characteristic	ADJ
ijassa-1481	243	5	πpn(|x|+pk	πpn(|x|+pk	NOUN
ijassa-1481	243	6	)	)	PUNCT
ijassa-1481	243	7	determines	determine	VERB
ijassa-1481	243	8	the	the	DET
ijassa-1481	243	9	position	position	NOUN
ijassa-1481	243	10	of	of	ADP
ijassa-1481	243	11	x̃	x̃	PROPN
ijassa-1481	243	12	inside	inside	ADP
ijassa-1481	243	13	the	the	DET
ijassa-1481	243	14	range	range	NOUN
ijassa-1481	243	15	|	|	ADV
ijassa-1481	243	16	·	·	PUNCT
ijassa-1481	243	17	|+pk	|+pk	NOUN
ijassa-1481	243	18	.	.	PUNCT
ijassa-1481	244	1	πpn(|x|+pk	πpn(|x|+pk	NOUN
ijassa-1481	244	2	)	)	PUNCT
ijassa-1481	245	1	=	=	PRON
ijassa-1481	245	2	{	{	PUNCT
ijassa-1481	245	3	0	0	NUM
ijassa-1481	245	4	,	,	PUNCT
ijassa-1481	245	5	if	if	SCONJ
ijassa-1481	245	6	x	x	ADP
ijassa-1481	245	7	<	<	X
ijassa-1481	245	8	pk	pk	NOUN
ijassa-1481	245	9	1	1	NUM
ijassa-1481	245	10	,	,	PUNCT
ijassa-1481	245	11	if	if	SCONJ
ijassa-1481	245	12	x	x	PUNCT
ijassa-1481	245	13	≥	≥	X
ijassa-1481	245	14	pk	pk	NOUN
ijassa-1481	245	15	copyright	copyright	NOUN
ijassa-1481	245	16	©	©	PROPN
ijassa-1481	245	17	2024	2024	NUM
ijassa-1481	245	18	assa	assa	NOUN
ijassa-1481	245	19	.	.	PUNCT
ijassa-1481	246	1	adv	adv	PROPN
ijassa-1481	246	2	syst	syst	PROPN
ijassa-1481	246	3	sci	sci	PROPN
ijassa-1481	246	4	appl	appl	PROPN
ijassa-1481	246	5	(	(	PUNCT
ijassa-1481	246	6	2024	2024	NUM
ijassa-1481	246	7	)	)	PUNCT
ijassa-1481	246	8	174	174	NUM
ijassa-1481	246	9	n.	n.	NOUN
ijassa-1481	246	10	kucherov	kucherov	PROPN
ijassa-1481	246	11	,	,	PUNCT
ijassa-1481	246	12	m.	m.	NOUN
ijassa-1481	246	13	babenko	babenko	PROPN
ijassa-1481	246	14	,	,	PUNCT
ijassa-1481	246	15	e.	e.	PROPN
ijassa-1481	246	16	shiriaev	shiriaev	PROPN
ijassa-1481	246	17	,	,	PUNCT
ijassa-1481	246	18	n.v	n.v	PROPN
ijassa-1481	246	19	.	.	PROPN
ijassa-1481	246	20	hung	hang	VERB
ijassa-1481	246	21	by	by	ADP
ijassa-1481	246	22	the	the	DET
ijassa-1481	246	23	character	character	NOUN
ijassa-1481	246	24	of	of	ADP
ijassa-1481	246	25	change	change	NOUN
ijassa-1481	246	26	,	,	PUNCT
ijassa-1481	246	27	positional	positional	ADJ
ijassa-1481	246	28	characteristics	characteristic	NOUN
ijassa-1481	246	29	are	be	AUX
ijassa-1481	246	30	divided	divide	VERB
ijassa-1481	246	31	into	into	ADP
ijassa-1481	246	32	linear	linear	PROPN
ijassa-1481	246	33	(	(	PUNCT
ijassa-1481	246	34	monotonic	monotonic	ADJ
ijassa-1481	246	35	)	)	PUNCT
ijassa-1481	246	36	and	and	CCONJ
ijassa-1481	246	37	nonlinear	nonlinear	ADJ
ijassa-1481	246	38	ones	one	NOUN
ijassa-1481	246	39	.	.	PUNCT
ijassa-1481	247	1	an	an	DET
ijassa-1481	247	2	instance	instance	NOUN
ijassa-1481	247	3	of	of	ADP
ijassa-1481	247	4	a	a	DET
ijassa-1481	247	5	non	non	ADJ
ijassa-1481	247	6	-	-	ADJ
ijassa-1481	247	7	linear	linear	ADJ
ijassa-1481	247	8	positional	positional	ADJ
ijassa-1481	247	9	attribute	attribute	NOUN
ijassa-1481	247	10	is	be	AUX
ijassa-1481	247	11	represented	represent	VERB
ijassa-1481	247	12	by	by	ADP
ijassa-1481	247	13	the	the	DET
ijassa-1481	247	14	number	number	NOUN
ijassa-1481	247	15	rank	rank	NOUN
ijassa-1481	247	16	function	function	NOUN
ijassa-1481	247	17	rpn(|x|+pk	rpn(|x|+pk	PROPN
ijassa-1481	247	18	)	)	PUNCT
ijassa-1481	247	19	.	.	PUNCT
ijassa-1481	248	1	the	the	DET
ijassa-1481	248	2	function	function	NOUN
ijassa-1481	248	3	rpn(|x|+pk	rpn(|x|+pk	PROPN
ijassa-1481	248	4	)	)	PUNCT
ijassa-1481	248	5	is	be	AUX
ijassa-1481	248	6	periodic	periodic	ADJ
ijassa-1481	248	7	with	with	ADP
ijassa-1481	248	8	period	period	NOUN
ijassa-1481	248	9	equal	equal	ADJ
ijassa-1481	248	10	to	to	ADP
ijassa-1481	248	11	pk	pk	NOUN
ijassa-1481	248	12	.	.	PUNCT
ijassa-1481	248	13	rpn(|x|+pk	rpn(|x|+pk	PROPN
ijassa-1481	248	14	)	)	PUNCT
ijassa-1481	249	1	=	=	PUNCT
ijassa-1481	250	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ijassa-1481	250	2	k+1∑	k+1∑	PROPN
ijassa-1481	250	3	i=1	i=1	PROPN
ijassa-1481	250	4	xiβi	xiβi	ADJ
ijassa-1481	250	5	∣∣∣∣∣	∣∣∣∣∣	PROPN
ijassa-1481	250	6	+	+	CCONJ
ijassa-1481	250	7	pk+1	pk+1	X
ijassa-1481	250	8	,	,	PUNCT
ijassa-1481	250	9	βi	βi	NOUN
ijassa-1481	250	10	=	=	NOUN
ijassa-1481	250	11	∣∣∣∣bi	∣∣∣∣bi	NOUN
ijassa-1481	250	12	pk	pk	NOUN
ijassa-1481	250	13	∣∣∣∣+	∣∣∣∣+	NOUN
ijassa-1481	250	14	pk+1	pk+1	VERB
ijassa-1481	250	15	the	the	DET
ijassa-1481	250	16	function	function	NOUN
ijassa-1481	250	17	rpn(|x|+pk	rpn(|x|+pk	PROPN
ijassa-1481	250	18	)	)	PUNCT
ijassa-1481	250	19	depends	depend	VERB
ijassa-1481	250	20	on	on	ADP
ijassa-1481	250	21	k	k	PROPN
ijassa-1481	250	22	+	+	CCONJ
ijassa-1481	250	23	1	1	NUM
ijassa-1481	250	24	variables	variable	NOUN
ijassa-1481	250	25	,	,	PUNCT
ijassa-1481	250	26	and	and	CCONJ
ijassa-1481	250	27	the	the	DET
ijassa-1481	250	28	possible	possible	ADJ
ijassa-1481	250	29	domain	domain	NOUN
ijassa-1481	250	30	of	of	ADP
ijassa-1481	250	31	definition	definition	NOUN
ijassa-1481	250	32	of	of	ADP
ijassa-1481	250	33	the	the	DET
ijassa-1481	250	34	argument	argument	NOUN
ijassa-1481	250	35	x	x	PRON
ijassa-1481	250	36	is	be	AUX
ijassa-1481	250	37	in	in	ADP
ijassa-1481	250	38	the	the	DET
ijassa-1481	250	39	range	range	NOUN
ijassa-1481	250	40	|	|	ADV
ijassa-1481	250	41	·	·	PUNCT
ijassa-1481	250	42	|+pn	|+pn	X
ijassa-1481	250	43	,	,	PUNCT
ijassa-1481	250	44	pn	pn	PROPN
ijassa-1481	250	45	=	=	SYM
ijassa-1481	250	46	pk+1pk	pk+1pk	X
ijassa-1481	250	47	.	.	PUNCT
ijassa-1481	251	1	4	4	X
ijassa-1481	251	2	.	.	PUNCT
ijassa-1481	251	3	structural	structural	ADJ
ijassa-1481	251	4	redundancy	redundancy	NOUN
ijassa-1481	251	5	in	in	ADP
ijassa-1481	251	6	cloud	cloud	ADJ
ijassa-1481	251	7	storage	storage	NOUN
ijassa-1481	251	8	systems	system	NOUN
ijassa-1481	251	9	structural	structural	ADJ
ijassa-1481	251	10	redundancy	redundancy	NOUN
ijassa-1481	251	11	in	in	ADP
ijassa-1481	251	12	cloud	cloud	ADJ
ijassa-1481	251	13	storage	storage	NOUN
ijassa-1481	251	14	systems	system	NOUN
ijassa-1481	251	15	is	be	AUX
ijassa-1481	251	16	one	one	NUM
ijassa-1481	251	17	method	method	NOUN
ijassa-1481	251	18	of	of	ADP
ijassa-1481	251	19	ensuring	ensure	VERB
ijassa-1481	251	20	the	the	DET
ijassa-1481	251	21	reliability	reliability	NOUN
ijassa-1481	251	22	and	and	CCONJ
ijassa-1481	251	23	availability	availability	NOUN
ijassa-1481	251	24	of	of	ADP
ijassa-1481	251	25	data	datum	NOUN
ijassa-1481	251	26	in	in	ADP
ijassa-1481	251	27	the	the	DET
ijassa-1481	251	28	cloud	cloud	NOUN
ijassa-1481	251	29	.	.	PUNCT
ijassa-1481	252	1	structural	structural	ADJ
ijassa-1481	252	2	redundancy	redundancy	NOUN
ijassa-1481	252	3	involves	involve	VERB
ijassa-1481	252	4	using	use	VERB
ijassa-1481	252	5	multiple	multiple	ADJ
ijassa-1481	252	6	physical	physical	ADJ
ijassa-1481	252	7	devices	device	NOUN
ijassa-1481	252	8	to	to	PART
ijassa-1481	252	9	store	store	VERB
ijassa-1481	252	10	data	datum	NOUN
ijassa-1481	252	11	and	and	CCONJ
ijassa-1481	252	12	replicating	replicate	VERB
ijassa-1481	252	13	data	datum	NOUN
ijassa-1481	252	14	on	on	ADP
ijassa-1481	252	15	these	these	DET
ijassa-1481	252	16	devices	device	NOUN
ijassa-1481	252	17	.	.	PUNCT
ijassa-1481	253	1	cloud	cloud	NOUN
ijassa-1481	253	2	storage	storage	NOUN
ijassa-1481	253	3	systems	system	NOUN
ijassa-1481	253	4	typically	typically	ADV
ijassa-1481	253	5	utilize	utilize	VERB
ijassa-1481	253	6	distributed	distributed	ADJ
ijassa-1481	253	7	storage	storage	NOUN
ijassa-1481	253	8	,	,	PUNCT
ijassa-1481	253	9	which	which	PRON
ijassa-1481	253	10	is	be	AUX
ijassa-1481	253	11	a	a	DET
ijassa-1481	253	12	collection	collection	NOUN
ijassa-1481	253	13	of	of	ADP
ijassa-1481	253	14	physical	physical	ADJ
ijassa-1481	253	15	storage	storage	NOUN
ijassa-1481	253	16	devices	device	NOUN
ijassa-1481	253	17	working	work	VERB
ijassa-1481	253	18	together	together	ADV
ijassa-1481	253	19	.	.	PUNCT
ijassa-1481	254	1	these	these	DET
ijassa-1481	254	2	devices	device	NOUN
ijassa-1481	254	3	can	can	AUX
ijassa-1481	254	4	be	be	AUX
ijassa-1481	254	5	located	locate	VERB
ijassa-1481	254	6	in	in	ADP
ijassa-1481	254	7	different	different	ADJ
ijassa-1481	254	8	locations	location	NOUN
ijassa-1481	254	9	and	and	CCONJ
ijassa-1481	254	10	have	have	VERB
ijassa-1481	254	11	different	different	ADJ
ijassa-1481	254	12	characteristics	characteristic	NOUN
ijassa-1481	254	13	such	such	ADJ
ijassa-1481	254	14	as	as	ADP
ijassa-1481	254	15	capacity	capacity	NOUN
ijassa-1481	254	16	,	,	PUNCT
ijassa-1481	254	17	speed	speed	NOUN
ijassa-1481	254	18	,	,	PUNCT
ijassa-1481	254	19	reliability	reliability	NOUN
ijassa-1481	254	20	and	and	CCONJ
ijassa-1481	254	21	bandwidth	bandwidth	NOUN
ijassa-1481	254	22	[	[	X
ijassa-1481	254	23	14	14	NUM
ijassa-1481	254	24	]	]	PUNCT
ijassa-1481	254	25	.	.	PUNCT
ijassa-1481	255	1	to	to	PART
ijassa-1481	255	2	ensure	ensure	VERB
ijassa-1481	255	3	the	the	DET
ijassa-1481	255	4	reliability	reliability	NOUN
ijassa-1481	255	5	and	and	CCONJ
ijassa-1481	255	6	availability	availability	NOUN
ijassa-1481	255	7	of	of	ADP
ijassa-1481	255	8	data	datum	NOUN
ijassa-1481	255	9	in	in	ADP
ijassa-1481	255	10	cloud	cloud	NOUN
ijassa-1481	255	11	systems	system	NOUN
ijassa-1481	255	12	,	,	PUNCT
ijassa-1481	255	13	various	various	ADJ
ijassa-1481	255	14	backup	backup	NOUN
ijassa-1481	255	15	technologies	technology	NOUN
ijassa-1481	255	16	such	such	ADJ
ijassa-1481	255	17	as	as	ADP
ijassa-1481	255	18	replication	replication	NOUN
ijassa-1481	255	19	,	,	PUNCT
ijassa-1481	255	20	sharding	sharding	NOUN
ijassa-1481	255	21	,	,	PUNCT
ijassa-1481	255	22	etc	etc	X
ijassa-1481	255	23	.	.	X
ijassa-1481	255	24	are	be	AUX
ijassa-1481	255	25	used	use	VERB
ijassa-1481	255	26	.	.	PUNCT
ijassa-1481	256	1	structural	structural	ADJ
ijassa-1481	256	2	redundancy	redundancy	NOUN
ijassa-1481	256	3	involves	involve	VERB
ijassa-1481	256	4	creating	create	VERB
ijassa-1481	256	5	multiple	multiple	ADJ
ijassa-1481	256	6	copies	copy	NOUN
ijassa-1481	256	7	of	of	ADP
ijassa-1481	256	8	data	datum	NOUN
ijassa-1481	256	9	on	on	ADP
ijassa-1481	256	10	different	different	ADJ
ijassa-1481	256	11	physical	physical	ADJ
ijassa-1481	256	12	devices	device	NOUN
ijassa-1481	256	13	using	use	VERB
ijassa-1481	256	14	special	special	ADJ
ijassa-1481	256	15	algorithms	algorithm	NOUN
ijassa-1481	256	16	and	and	CCONJ
ijassa-1481	256	17	protocols	protocol	NOUN
ijassa-1481	256	18	that	that	PRON
ijassa-1481	256	19	ensure	ensure	VERB
ijassa-1481	256	20	data	datum	NOUN
ijassa-1481	256	21	consistency	consistency	NOUN
ijassa-1481	256	22	and	and	CCONJ
ijassa-1481	256	23	integrity	integrity	NOUN
ijassa-1481	256	24	.	.	PUNCT
ijassa-1481	257	1	if	if	SCONJ
ijassa-1481	257	2	one	one	NUM
ijassa-1481	257	3	of	of	ADP
ijassa-1481	257	4	the	the	DET
ijassa-1481	257	5	devices	device	NOUN
ijassa-1481	257	6	fails	fail	VERB
ijassa-1481	257	7	,	,	PUNCT
ijassa-1481	257	8	data	datum	NOUN
ijassa-1481	257	9	can	can	AUX
ijassa-1481	257	10	be	be	AUX
ijassa-1481	257	11	restored	restore	VERB
ijassa-1481	257	12	from	from	ADP
ijassa-1481	257	13	backups	backup	NOUN
ijassa-1481	257	14	stored	store	VERB
ijassa-1481	257	15	on	on	ADP
ijassa-1481	257	16	other	other	ADJ
ijassa-1481	257	17	devices	device	NOUN
ijassa-1481	257	18	.	.	PUNCT
ijassa-1481	258	1	at	at	ADP
ijassa-1481	258	2	the	the	DET
ijassa-1481	258	3	same	same	ADJ
ijassa-1481	258	4	time	time	NOUN
ijassa-1481	258	5	,	,	PUNCT
ijassa-1481	258	6	the	the	DET
ijassa-1481	258	7	cloud	cloud	NOUN
ijassa-1481	258	8	continues	continue	VERB
ijassa-1481	258	9	to	to	PART
ijassa-1481	258	10	function	function	VERB
ijassa-1481	258	11	and	and	CCONJ
ijassa-1481	258	12	provide	provide	VERB
ijassa-1481	258	13	access	access	NOUN
ijassa-1481	258	14	to	to	ADP
ijassa-1481	258	15	data	datum	NOUN
ijassa-1481	258	16	without	without	ADP
ijassa-1481	258	17	downtime	downtime	NOUN
ijassa-1481	258	18	or	or	CCONJ
ijassa-1481	258	19	data	datum	NOUN
ijassa-1481	258	20	loss	loss	NOUN
ijassa-1481	258	21	.	.	PUNCT
ijassa-1481	259	1	the	the	DET
ijassa-1481	259	2	basic	basic	ADJ
ijassa-1481	259	3	idea	idea	NOUN
ijassa-1481	259	4	behind	behind	ADP
ijassa-1481	259	5	structural	structural	ADJ
ijassa-1481	259	6	redundancy	redundancy	NOUN
ijassa-1481	259	7	in	in	ADP
ijassa-1481	259	8	cloud	cloud	NOUN
ijassa-1481	259	9	storage	storage	NOUN
ijassa-1481	259	10	systems	system	NOUN
ijassa-1481	259	11	is	be	AUX
ijassa-1481	259	12	to	to	PART
ijassa-1481	259	13	create	create	VERB
ijassa-1481	259	14	a	a	DET
ijassa-1481	259	15	distributed	distribute	VERB
ijassa-1481	259	16	network	network	NOUN
ijassa-1481	259	17	of	of	ADP
ijassa-1481	259	18	servers	server	NOUN
ijassa-1481	259	19	that	that	PRON
ijassa-1481	259	20	work	work	VERB
ijassa-1481	259	21	together	together	ADV
ijassa-1481	259	22	to	to	PART
ijassa-1481	259	23	ensure	ensure	VERB
ijassa-1481	259	24	data	datum	NOUN
ijassa-1481	259	25	availability	availability	NOUN
ijassa-1481	259	26	and	and	CCONJ
ijassa-1481	259	27	reliability	reliability	NOUN
ijassa-1481	259	28	.	.	PUNCT
ijassa-1481	260	1	each	each	DET
ijassa-1481	260	2	server	server	NOUN
ijassa-1481	260	3	in	in	ADP
ijassa-1481	260	4	such	such	DET
ijassa-1481	260	5	a	a	DET
ijassa-1481	260	6	network	network	NOUN
ijassa-1481	260	7	can	can	AUX
ijassa-1481	260	8	store	store	VERB
ijassa-1481	260	9	only	only	ADV
ijassa-1481	260	10	part	part	NOUN
ijassa-1481	260	11	of	of	ADP
ijassa-1481	260	12	the	the	DET
ijassa-1481	260	13	data	datum	NOUN
ijassa-1481	260	14	,	,	PUNCT
ijassa-1481	260	15	which	which	PRON
ijassa-1481	260	16	reduces	reduce	VERB
ijassa-1481	260	17	the	the	DET
ijassa-1481	260	18	load	load	NOUN
ijassa-1481	260	19	on	on	ADP
ijassa-1481	260	20	a	a	DET
ijassa-1481	260	21	single	single	ADJ
ijassa-1481	260	22	server	server	NOUN
ijassa-1481	260	23	and	and	CCONJ
ijassa-1481	260	24	increases	increase	VERB
ijassa-1481	260	25	the	the	DET
ijassa-1481	260	26	speed	speed	NOUN
ijassa-1481	260	27	of	of	ADP
ijassa-1481	260	28	data	datum	NOUN
ijassa-1481	260	29	access	access	NOUN
ijassa-1481	260	30	.	.	PUNCT
ijassa-1481	261	1	classification	classification	NOUN
ijassa-1481	261	2	of	of	ADP
ijassa-1481	261	3	various	various	ADJ
ijassa-1481	261	4	methods	method	NOUN
ijassa-1481	261	5	of	of	ADP
ijassa-1481	261	6	structural	structural	ADJ
ijassa-1481	261	7	redundancy	redundancy	NOUN
ijassa-1481	261	8	is	be	AUX
ijassa-1481	261	9	performed	perform	VERB
ijassa-1481	261	10	according	accord	VERB
ijassa-1481	261	11	to	to	ADP
ijassa-1481	261	12	the	the	DET
ijassa-1481	261	13	following	follow	VERB
ijassa-1481	261	14	features	feature	NOUN
ijassa-1481	261	15	:	:	PUNCT
ijassa-1481	261	16	•	•	ADP
ijassa-1481	261	17	according	accord	VERB
ijassa-1481	261	18	to	to	ADP
ijassa-1481	261	19	the	the	DET
ijassa-1481	261	20	redundant	redundant	ADJ
ijassa-1481	261	21	element	element	NOUN
ijassa-1481	261	22	inclusion	inclusion	NOUN
ijassa-1481	261	23	scheme	scheme	NOUN
ijassa-1481	261	24	;	;	PUNCT
ijassa-1481	261	25	•	•	NUM
ijassa-1481	261	26	by	by	ADP
ijassa-1481	261	27	homogeneity	homogeneity	NOUN
ijassa-1481	261	28	of	of	ADP
ijassa-1481	261	29	redundancy	redundancy	NOUN
ijassa-1481	261	30	;	;	PUNCT
ijassa-1481	261	31	•	•	NUM
ijassa-1481	261	32	by	by	ADP
ijassa-1481	261	33	method	method	NOUN
ijassa-1481	261	34	of	of	ADP
ijassa-1481	261	35	reserve	reserve	NOUN
ijassa-1481	261	36	activation	activation	NOUN
ijassa-1481	261	37	;	;	PUNCT
ijassa-1481	261	38	•	•	NUM
ijassa-1481	261	39	on	on	ADP
ijassa-1481	261	40	functional	functional	ADJ
ijassa-1481	261	41	recovery	recovery	NOUN
ijassa-1481	261	42	of	of	ADP
ijassa-1481	261	43	failed	fail	VERB
ijassa-1481	261	44	elements	element	NOUN
ijassa-1481	261	45	;	;	PUNCT
ijassa-1481	261	46	•	•	NUM
ijassa-1481	261	47	by	by	ADP
ijassa-1481	261	48	reserve	reserve	NOUN
ijassa-1481	261	49	loading	loading	NOUN
ijassa-1481	261	50	.	.	PUNCT
ijassa-1481	262	1	the	the	DET
ijassa-1481	262	2	fundamental	fundamental	ADJ
ijassa-1481	262	3	attribute	attribute	NOUN
ijassa-1481	262	4	of	of	ADP
ijassa-1481	262	5	structural	structural	ADJ
ijassa-1481	262	6	redundancy	redundancy	NOUN
ijassa-1481	262	7	is	be	AUX
ijassa-1481	262	8	its	its	PRON
ijassa-1481	262	9	multiplicity	multiplicity	NOUN
ijassa-1481	262	10	,	,	PUNCT
ijassa-1481	262	11	which	which	PRON
ijassa-1481	262	12	signifies	signify	VERB
ijassa-1481	262	13	the	the	DET
ijassa-1481	262	14	proportion	proportion	NOUN
ijassa-1481	262	15	of	of	ADP
ijassa-1481	262	16	redundant	redundant	ADJ
ijassa-1481	262	17	elements	element	NOUN
ijassa-1481	262	18	to	to	ADP
ijassa-1481	262	19	the	the	DET
ijassa-1481	262	20	total	total	ADJ
ijassa-1481	262	21	number	number	NOUN
ijassa-1481	262	22	of	of	ADP
ijassa-1481	262	23	elements	element	NOUN
ijassa-1481	262	24	(	(	PUNCT
ijassa-1481	262	25	both	both	CCONJ
ijassa-1481	262	26	redundant	redundant	ADJ
ijassa-1481	262	27	and	and	CCONJ
ijassa-1481	262	28	primary	primary	ADJ
ijassa-1481	262	29	)	)	PUNCT
ijassa-1481	262	30	.	.	PUNCT
ijassa-1481	263	1	this	this	DET
ijassa-1481	263	2	proportion	proportion	NOUN
ijassa-1481	263	3	is	be	AUX
ijassa-1481	263	4	expressed	express	VERB
ijassa-1481	263	5	as	as	ADP
ijassa-1481	263	6	a	a	DET
ijassa-1481	263	7	non	non	ADJ
ijassa-1481	263	8	-	-	ADJ
ijassa-1481	263	9	simplified	simplified	ADJ
ijassa-1481	263	10	fraction	fraction	NOUN
ijassa-1481	263	11	.	.	PUNCT
ijassa-1481	264	1	the	the	DET
ijassa-1481	264	2	redundancy	redundancy	NOUN
ijassa-1481	264	3	multiple	multiple	NOUN
ijassa-1481	264	4	m	m	VERB
ijassa-1481	264	5	is	be	AUX
ijassa-1481	264	6	determined	determine	VERB
ijassa-1481	264	7	by	by	ADP
ijassa-1481	264	8	the	the	DET
ijassa-1481	264	9	ratio	ratio	NOUN
ijassa-1481	264	10	:	:	PUNCT
ijassa-1481	264	11	m	m	VERB
ijassa-1481	264	12	=	=	PUNCT
ijassa-1481	265	1	p	p	X
ijassa-1481	265	2	o	o	NOUN
ijassa-1481	265	3	where	where	SCONJ
ijassa-1481	265	4	p	p	NOUN
ijassa-1481	265	5	–	–	PUNCT
ijassa-1481	265	6	number	number	NOUN
ijassa-1481	265	7	of	of	ADP
ijassa-1481	265	8	reserve	reserve	NOUN
ijassa-1481	265	9	elements	element	NOUN
ijassa-1481	265	10	;	;	PUNCT
ijassa-1481	265	11	o	o	X
ijassa-1481	265	12	–	–	PUNCT
ijassa-1481	265	13	number	number	NOUN
ijassa-1481	265	14	of	of	ADP
ijassa-1481	265	15	main	main	ADJ
ijassa-1481	265	16	elements	element	NOUN
ijassa-1481	265	17	.	.	PUNCT
ijassa-1481	266	1	if	if	SCONJ
ijassa-1481	266	2	m	m	VERB
ijassa-1481	266	3	=	=	SYM
ijassa-1481	266	4	1	1	NUM
ijassa-1481	266	5	,	,	PUNCT
ijassa-1481	266	6	redundancy	redundancy	NOUN
ijassa-1481	266	7	is	be	AUX
ijassa-1481	266	8	executed	execute	VERB
ijassa-1481	266	9	with	with	ADP
ijassa-1481	266	10	integral	integral	ADJ
ijassa-1481	266	11	multiplicity	multiplicity	NOUN
ijassa-1481	266	12	.	.	PUNCT
ijassa-1481	267	1	in	in	ADP
ijassa-1481	267	2	practical	practical	ADJ
ijassa-1481	267	3	terms	term	NOUN
ijassa-1481	267	4	,	,	PUNCT
ijassa-1481	267	5	this	this	PRON
ijassa-1481	267	6	signifies	signify	VERB
ijassa-1481	267	7	the	the	DET
ijassa-1481	267	8	presence	presence	NOUN
ijassa-1481	267	9	of	of	ADP
ijassa-1481	267	10	a	a	DET
ijassa-1481	267	11	single	single	ADJ
ijassa-1481	267	12	primary	primary	ADJ
ijassa-1481	267	13	element	element	NOUN
ijassa-1481	267	14	and	and	CCONJ
ijassa-1481	267	15	a	a	DET
ijassa-1481	267	16	corresponding	corresponding	ADJ
ijassa-1481	267	17	redundant	redundant	ADJ
ijassa-1481	267	18	element	element	NOUN
ijassa-1481	267	19	,	,	PUNCT
ijassa-1481	267	20	resulting	result	VERB
ijassa-1481	267	21	in	in	ADP
ijassa-1481	267	22	a	a	DET
ijassa-1481	267	23	total	total	ADJ
ijassa-1481	267	24	count	count	NOUN
ijassa-1481	267	25	of	of	ADP
ijassa-1481	267	26	two	two	NUM
ijassa-1481	267	27	elements	element	NOUN
ijassa-1481	267	28	for	for	ADP
ijassa-1481	267	29	the	the	DET
ijassa-1481	267	30	object	object	NOUN
ijassa-1481	267	31	.	.	PUNCT
ijassa-1481	268	1	when	when	SCONJ
ijassa-1481	268	2	m	m	VERB
ijassa-1481	268	3	=	=	SYM
ijassa-1481	268	4	3	3	NUM
ijassa-1481	268	5	,	,	PUNCT
ijassa-1481	268	6	redundancy	redundancy	NOUN
ijassa-1481	268	7	is	be	AUX
ijassa-1481	268	8	employed	employ	VERB
ijassa-1481	268	9	with	with	ADP
ijassa-1481	268	10	integral	integral	ADJ
ijassa-1481	268	11	multiplicity	multiplicity	NOUN
ijassa-1481	268	12	.	.	PUNCT
ijassa-1481	269	1	this	this	PRON
ijassa-1481	269	2	indicates	indicate	VERB
ijassa-1481	269	3	the	the	DET
ijassa-1481	269	4	existence	existence	NOUN
ijassa-1481	269	5	of	of	ADP
ijassa-1481	269	6	one	one	NUM
ijassa-1481	269	7	primary	primary	ADJ
ijassa-1481	269	8	element	element	NOUN
ijassa-1481	269	9	along	along	ADP
ijassa-1481	269	10	with	with	ADP
ijassa-1481	269	11	three	three	NUM
ijassa-1481	269	12	supplementary	supplementary	ADJ
ijassa-1481	269	13	elements	element	NOUN
ijassa-1481	269	14	,	,	PUNCT
ijassa-1481	269	15	resulting	result	VERB
ijassa-1481	269	16	in	in	ADP
ijassa-1481	269	17	a	a	DET
ijassa-1481	269	18	total	total	NOUN
ijassa-1481	269	19	of	of	ADP
ijassa-1481	269	20	four	four	NUM
ijassa-1481	269	21	elements	element	NOUN
ijassa-1481	269	22	.	.	PUNCT
ijassa-1481	270	1	copyright	copyright	NOUN
ijassa-1481	270	2	©	©	PROPN
ijassa-1481	270	3	2024	2024	NUM
ijassa-1481	270	4	assa	assa	NOUN
ijassa-1481	270	5	.	.	PUNCT
ijassa-1481	271	1	adv	adv	PROPN
ijassa-1481	271	2	syst	syst	PROPN
ijassa-1481	271	3	sci	sci	PROPN
ijassa-1481	271	4	appl	appl	PROPN
ijassa-1481	271	5	(	(	PUNCT
ijassa-1481	271	6	2024	2024	NUM
ijassa-1481	271	7	)	)	PUNCT
ijassa-1481	271	8	data	datum	NOUN
ijassa-1481	271	9	storage	storage	NOUN
ijassa-1481	271	10	with	with	ADP
ijassa-1481	271	11	increased	increase	VERB
ijassa-1481	271	12	survivability	survivability	NOUN
ijassa-1481	271	13	and	and	CCONJ
ijassa-1481	271	14	reliability	reliability	NOUN
ijassa-1481	271	15	...	...	PUNCT
ijassa-1481	271	16	175	175	NUM
ijassa-1481	271	17	when	when	SCONJ
ijassa-1481	271	18	m	m	VERB
ijassa-1481	271	19	=	=	VERB
ijassa-1481	271	20	4	4	NUM
ijassa-1481	271	21	2	2	NUM
ijassa-1481	271	22	,	,	PUNCT
ijassa-1481	271	23	it	it	PRON
ijassa-1481	271	24	signifies	signify	VERB
ijassa-1481	271	25	a	a	DET
ijassa-1481	271	26	fractional	fractional	ADJ
ijassa-1481	271	27	multiplicity	multiplicity	NOUN
ijassa-1481	271	28	redundancy	redundancy	NOUN
ijassa-1481	271	29	scenario	scenario	NOUN
ijassa-1481	271	30	,	,	PUNCT
ijassa-1481	271	31	wherein	wherein	SCONJ
ijassa-1481	271	32	there	there	PRON
ijassa-1481	271	33	are	be	VERB
ijassa-1481	271	34	4	4	NUM
ijassa-1481	271	35	reserve	reserve	NOUN
ijassa-1481	271	36	elements	element	NOUN
ijassa-1481	271	37	,	,	PUNCT
ijassa-1481	271	38	2	2	NUM
ijassa-1481	271	39	primary	primary	ADJ
ijassa-1481	271	40	elements	element	NOUN
ijassa-1481	271	41	,	,	PUNCT
ijassa-1481	271	42	and	and	CCONJ
ijassa-1481	271	43	a	a	DET
ijassa-1481	271	44	total	total	NOUN
ijassa-1481	271	45	of	of	ADP
ijassa-1481	271	46	6	6	NUM
ijassa-1481	271	47	elements	element	NOUN
ijassa-1481	271	48	.	.	PUNCT
ijassa-1481	272	1	it	it	PRON
ijassa-1481	272	2	’s	’	VERB
ijassa-1481	272	3	not	not	PART
ijassa-1481	272	4	feasible	feasible	ADJ
ijassa-1481	272	5	to	to	PART
ijassa-1481	272	6	simplify	simplify	VERB
ijassa-1481	272	7	the	the	DET
ijassa-1481	272	8	fraction	fraction	NOUN
ijassa-1481	272	9	,	,	PUNCT
ijassa-1481	272	10	as	as	ADP
ijassa-1481	272	11	reducing	reduce	VERB
ijassa-1481	272	12	m	m	PROPN
ijassa-1481	272	13	=	=	NUM
ijassa-1481	272	14	4	4	NUM
ijassa-1481	272	15	2	2	NUM
ijassa-1481	272	16	to	to	ADP
ijassa-1481	272	17	m	m	NOUN
ijassa-1481	272	18	=	=	NOUN
ijassa-1481	272	19	2	2	NUM
ijassa-1481	272	20	would	would	AUX
ijassa-1481	272	21	lead	lead	VERB
ijassa-1481	272	22	to	to	ADP
ijassa-1481	272	23	redundancy	redundancy	NOUN
ijassa-1481	272	24	with	with	ADP
ijassa-1481	272	25	integral	integral	ADJ
ijassa-1481	272	26	multiplicity	multiplicity	NOUN
ijassa-1481	272	27	,	,	PUNCT
ijassa-1481	272	28	entailing	entail	VERB
ijassa-1481	272	29	2	2	NUM
ijassa-1481	272	30	reserve	reserve	NOUN
ijassa-1481	272	31	elements	element	NOUN
ijassa-1481	272	32	and	and	CCONJ
ijassa-1481	272	33	a	a	DET
ijassa-1481	272	34	total	total	NOUN
ijassa-1481	272	35	of	of	ADP
ijassa-1481	272	36	3	3	NUM
ijassa-1481	272	37	elements	element	NOUN
ijassa-1481	272	38	.	.	PUNCT
ijassa-1481	273	1	as	as	SCONJ
ijassa-1481	273	2	already	already	ADV
ijassa-1481	273	3	mentioned	mention	VERB
ijassa-1481	273	4	,	,	PUNCT
ijassa-1481	273	5	structural	structural	ADJ
ijassa-1481	273	6	redundancy	redundancy	NOUN
ijassa-1481	273	7	in	in	ADP
ijassa-1481	273	8	cloud	cloud	NOUN
ijassa-1481	273	9	storage	storage	NOUN
ijassa-1481	273	10	systems	system	NOUN
ijassa-1481	273	11	involves	involve	VERB
ijassa-1481	273	12	the	the	DET
ijassa-1481	273	13	use	use	NOUN
ijassa-1481	273	14	of	of	ADP
ijassa-1481	273	15	distributed	distribute	VERB
ijassa-1481	273	16	systems	system	NOUN
ijassa-1481	273	17	in	in	ADP
ijassa-1481	273	18	which	which	PRON
ijassa-1481	273	19	data	datum	NOUN
ijassa-1481	273	20	is	be	AUX
ijassa-1481	273	21	stored	store	VERB
ijassa-1481	273	22	on	on	ADP
ijassa-1481	273	23	multiple	multiple	ADJ
ijassa-1481	273	24	devices	device	NOUN
ijassa-1481	273	25	(	(	PUNCT
ijassa-1481	273	26	servers	server	NOUN
ijassa-1481	273	27	)	)	PUNCT
ijassa-1481	273	28	in	in	ADP
ijassa-1481	273	29	different	different	ADJ
ijassa-1481	273	30	geographical	geographical	ADJ
ijassa-1481	273	31	areas	area	NOUN
ijassa-1481	273	32	.	.	PUNCT
ijassa-1481	274	1	each	each	DET
ijassa-1481	274	2	server	server	NOUN
ijassa-1481	274	3	has	have	VERB
ijassa-1481	274	4	its	its	PRON
ijassa-1481	274	5	own	own	ADJ
ijassa-1481	274	6	copy	copy	NOUN
ijassa-1481	274	7	of	of	ADP
ijassa-1481	274	8	the	the	DET
ijassa-1481	274	9	data	datum	NOUN
ijassa-1481	274	10	,	,	PUNCT
ijassa-1481	274	11	and	and	CCONJ
ijassa-1481	274	12	if	if	SCONJ
ijassa-1481	274	13	one	one	NUM
ijassa-1481	274	14	of	of	ADP
ijassa-1481	274	15	the	the	DET
ijassa-1481	274	16	servers	server	NOUN
ijassa-1481	274	17	fails	fail	VERB
ijassa-1481	274	18	,	,	PUNCT
ijassa-1481	274	19	the	the	DET
ijassa-1481	274	20	data	datum	NOUN
ijassa-1481	274	21	can	can	AUX
ijassa-1481	274	22	be	be	AUX
ijassa-1481	274	23	restored	restore	VERB
ijassa-1481	274	24	from	from	ADP
ijassa-1481	274	25	another	another	DET
ijassa-1481	274	26	server	server	NOUN
ijassa-1481	274	27	.	.	PUNCT
ijassa-1481	275	1	an	an	DET
ijassa-1481	275	2	important	important	ADJ
ijassa-1481	275	3	aspect	aspect	NOUN
ijassa-1481	275	4	of	of	ADP
ijassa-1481	275	5	structural	structural	ADJ
ijassa-1481	275	6	redundancy	redundancy	NOUN
ijassa-1481	275	7	is	be	AUX
ijassa-1481	275	8	the	the	DET
ijassa-1481	275	9	organization	organization	NOUN
ijassa-1481	275	10	of	of	ADP
ijassa-1481	275	11	the	the	DET
ijassa-1481	275	12	network	network	NOUN
ijassa-1481	275	13	infrastructure	infrastructure	NOUN
ijassa-1481	275	14	that	that	PRON
ijassa-1481	275	15	provides	provide	VERB
ijassa-1481	275	16	connectivity	connectivity	NOUN
ijassa-1481	275	17	between	between	ADP
ijassa-1481	275	18	servers	server	NOUN
ijassa-1481	275	19	and	and	CCONJ
ijassa-1481	275	20	allows	allow	VERB
ijassa-1481	275	21	data	datum	NOUN
ijassa-1481	275	22	to	to	PART
ijassa-1481	275	23	be	be	AUX
ijassa-1481	275	24	transferred	transfer	VERB
ijassa-1481	275	25	between	between	ADP
ijassa-1481	275	26	them	they	PRON
ijassa-1481	275	27	.	.	PUNCT
ijassa-1481	276	1	typically	typically	ADV
ijassa-1481	276	2	,	,	PUNCT
ijassa-1481	276	3	high	high	ADJ
ijassa-1481	276	4	-	-	PUNCT
ijassa-1481	276	5	speed	speed	NOUN
ijassa-1481	276	6	links	link	NOUN
ijassa-1481	276	7	such	such	ADJ
ijassa-1481	276	8	as	as	ADP
ijassa-1481	276	9	optical	optical	ADJ
ijassa-1481	276	10	networks	network	NOUN
ijassa-1481	276	11	are	be	AUX
ijassa-1481	276	12	used	use	VERB
ijassa-1481	276	13	as	as	ADP
ijassa-1481	276	14	network	network	NOUN
ijassa-1481	276	15	connections	connection	NOUN
ijassa-1481	276	16	to	to	PART
ijassa-1481	276	17	reduce	reduce	VERB
ijassa-1481	276	18	latency	latency	NOUN
ijassa-1481	276	19	and	and	CCONJ
ijassa-1481	276	20	increase	increase	VERB
ijassa-1481	276	21	data	datum	NOUN
ijassa-1481	276	22	transfer	transfer	NOUN
ijassa-1481	276	23	speeds	speed	NOUN
ijassa-1481	276	24	.	.	PUNCT
ijassa-1481	277	1	in	in	ADP
ijassa-1481	277	2	addition	addition	NOUN
ijassa-1481	277	3	,	,	PUNCT
ijassa-1481	277	4	an	an	DET
ijassa-1481	277	5	important	important	ADJ
ijassa-1481	277	6	aspect	aspect	NOUN
ijassa-1481	277	7	of	of	ADP
ijassa-1481	277	8	structural	structural	ADJ
ijassa-1481	277	9	redundancy	redundancy	NOUN
ijassa-1481	277	10	is	be	AUX
ijassa-1481	277	11	the	the	DET
ijassa-1481	277	12	organization	organization	NOUN
ijassa-1481	277	13	of	of	ADP
ijassa-1481	277	14	data	datum	NOUN
ijassa-1481	277	15	integrity	integrity	PROPN
ijassa-1481	277	16	control	control	NOUN
ijassa-1481	277	17	system	system	NOUN
ijassa-1481	277	18	,	,	PUNCT
ijassa-1481	277	19	which	which	PRON
ijassa-1481	277	20	allows	allow	VERB
ijassa-1481	277	21	detecting	detect	VERB
ijassa-1481	277	22	and	and	CCONJ
ijassa-1481	277	23	correcting	correct	VERB
ijassa-1481	277	24	data	datum	NOUN
ijassa-1481	277	25	errors	error	NOUN
ijassa-1481	277	26	.	.	PUNCT
ijassa-1481	278	1	various	various	ADJ
ijassa-1481	278	2	methods	method	NOUN
ijassa-1481	278	3	can	can	AUX
ijassa-1481	278	4	be	be	AUX
ijassa-1481	278	5	used	use	VERB
ijassa-1481	278	6	for	for	ADP
ijassa-1481	278	7	this	this	DET
ijassa-1481	278	8	purpose	purpose	NOUN
ijassa-1481	278	9	,	,	PUNCT
ijassa-1481	278	10	such	such	ADJ
ijassa-1481	278	11	as	as	ADP
ijassa-1481	278	12	checksums	checksum	NOUN
ijassa-1481	278	13	,	,	PUNCT
ijassa-1481	278	14	hamming	hamming	NOUN
ijassa-1481	278	15	codes	code	NOUN
ijassa-1481	278	16	and	and	CCONJ
ijassa-1481	278	17	others	other	NOUN
ijassa-1481	278	18	.	.	PUNCT
ijassa-1481	279	1	an	an	DET
ijassa-1481	279	2	illustration	illustration	NOUN
ijassa-1481	279	3	of	of	ADP
ijassa-1481	279	4	structural	structural	ADJ
ijassa-1481	279	5	redundancy	redundancy	NOUN
ijassa-1481	279	6	within	within	ADP
ijassa-1481	279	7	cloud	cloud	ADJ
ijassa-1481	279	8	storage	storage	NOUN
ijassa-1481	279	9	is	be	AUX
ijassa-1481	279	10	the	the	DET
ijassa-1481	279	11	redundant	redundant	ADJ
ijassa-1481	279	12	array	array	NOUN
ijassa-1481	279	13	of	of	ADP
ijassa-1481	279	14	independent	independent	ADJ
ijassa-1481	279	15	disks	disk	NOUN
ijassa-1481	279	16	(	(	PUNCT
ijassa-1481	279	17	raid	raid	NOUN
ijassa-1481	279	18	)	)	PUNCT
ijassa-1481	279	19	,	,	PUNCT
ijassa-1481	279	20	which	which	PRON
ijassa-1481	279	21	amalgamates	amalgamate	VERB
ijassa-1481	279	22	numerous	numerous	ADJ
ijassa-1481	279	23	physical	physical	ADJ
ijassa-1481	279	24	disks	disk	NOUN
ijassa-1481	279	25	into	into	ADP
ijassa-1481	279	26	a	a	DET
ijassa-1481	279	27	unified	unified	ADJ
ijassa-1481	279	28	logical	logical	ADJ
ijassa-1481	279	29	storage	storage	NOUN
ijassa-1481	279	30	unit	unit	NOUN
ijassa-1481	279	31	to	to	PART
ijassa-1481	279	32	ensure	ensure	VERB
ijassa-1481	279	33	elevated	elevated	ADJ
ijassa-1481	279	34	data	datum	NOUN
ijassa-1481	279	35	reliability	reliability	NOUN
ijassa-1481	279	36	and	and	CCONJ
ijassa-1481	279	37	accessibility	accessibility	NOUN
ijassa-1481	279	38	.	.	PUNCT
ijassa-1481	280	1	various	various	ADJ
ijassa-1481	280	2	raid	raid	NOUN
ijassa-1481	280	3	levels	level	NOUN
ijassa-1481	280	4	offer	offer	VERB
ijassa-1481	280	5	distinct	distinct	ADJ
ijassa-1481	280	6	degrees	degree	NOUN
ijassa-1481	280	7	of	of	ADP
ijassa-1481	280	8	data	datum	NOUN
ijassa-1481	280	9	safeguarding	safeguarding	NOUN
ijassa-1481	280	10	and	and	CCONJ
ijassa-1481	280	11	recuperation	recuperation	NOUN
ijassa-1481	280	12	should	should	AUX
ijassa-1481	280	13	disk	disk	VERB
ijassa-1481	280	14	failure	failure	NOUN
ijassa-1481	280	15	or	or	CCONJ
ijassa-1481	280	16	other	other	ADJ
ijassa-1481	280	17	system	system	NOUN
ijassa-1481	280	18	anomalies	anomaly	NOUN
ijassa-1481	280	19	arise	arise	VERB
ijassa-1481	280	20	.	.	PUNCT
ijassa-1481	281	1	5	5	X
ijassa-1481	281	2	.	.	X
ijassa-1481	281	3	reliability	reliability	NOUN
ijassa-1481	281	4	of	of	ADP
ijassa-1481	281	5	non	non	ADJ
ijassa-1481	281	6	-	-	ADJ
ijassa-1481	281	7	recoverable	recoverable	ADJ
ijassa-1481	281	8	redundant	redundant	ADJ
ijassa-1481	281	9	facilities	facility	NOUN
ijassa-1481	281	10	reliability	reliability	VERB
ijassa-1481	281	11	quantification	quantification	NOUN
ijassa-1481	281	12	of	of	ADP
ijassa-1481	281	13	redundant	redundant	ADJ
ijassa-1481	281	14	facilities	facility	NOUN
ijassa-1481	281	15	is	be	AUX
ijassa-1481	281	16	determined	determine	VERB
ijassa-1481	281	17	by	by	ADP
ijassa-1481	281	18	the	the	DET
ijassa-1481	281	19	type	type	NOUN
ijassa-1481	281	20	of	of	ADP
ijassa-1481	281	21	redundancy	redundancy	NOUN
ijassa-1481	281	22	.	.	PUNCT
ijassa-1481	282	1	5.1	5.1	NUM
ijassa-1481	282	2	.	.	PUNCT
ijassa-1481	283	1	total	total	ADJ
ijassa-1481	283	2	hot	hot	ADJ
ijassa-1481	283	3	spare	spare	ADJ
ijassa-1481	283	4	capacity	capacity	NOUN
ijassa-1481	283	5	with	with	ADP
ijassa-1481	283	6	integer	integer	NOUN
ijassa-1481	283	7	multiplicity	multiplicity	NOUN
ijassa-1481	283	8	in	in	ADP
ijassa-1481	283	9	general	general	ADJ
ijassa-1481	283	10	,	,	PUNCT
ijassa-1481	283	11	hot	hot	ADJ
ijassa-1481	283	12	spare	spare	ADJ
ijassa-1481	283	13	capacity	capacity	NOUN
ijassa-1481	283	14	,	,	PUNCT
ijassa-1481	283	15	the	the	DET
ijassa-1481	283	16	main	main	ADJ
ijassa-1481	283	17	and	and	CCONJ
ijassa-1481	283	18	each	each	DET
ijassa-1481	283	19	redundant	redundant	ADJ
ijassa-1481	283	20	object	object	NOUN
ijassa-1481	283	21	have	have	VERB
ijassa-1481	283	22	the	the	DET
ijassa-1481	283	23	same	same	ADJ
ijassa-1481	283	24	number	number	NOUN
ijassa-1481	283	25	of	of	ADP
ijassa-1481	283	26	elements	element	NOUN
ijassa-1481	283	27	connected	connect	VERB
ijassa-1481	283	28	in	in	ADP
ijassa-1481	283	29	series	series	NOUN
ijassa-1481	283	30	in	in	ADP
ijassa-1481	283	31	the	the	DET
ijassa-1481	283	32	reliability	reliability	NOUN
ijassa-1481	283	33	structural	structural	ADJ
ijassa-1481	283	34	diagram	diagram	NOUN
ijassa-1481	283	35	.	.	PUNCT
ijassa-1481	284	1	the	the	DET
ijassa-1481	284	2	redundant	redundant	ADJ
ijassa-1481	284	3	objects	object	NOUN
ijassa-1481	284	4	are	be	AUX
ijassa-1481	284	5	included	include	VERB
ijassa-1481	284	6	in	in	ADP
ijassa-1481	284	7	parallel	parallel	NOUN
ijassa-1481	284	8	with	with	ADP
ijassa-1481	284	9	the	the	DET
ijassa-1481	284	10	main	main	ADJ
ijassa-1481	284	11	object	object	NOUN
ijassa-1481	284	12	and	and	CCONJ
ijassa-1481	284	13	themselves	themselves	PRON
ijassa-1481	285	1	[	[	X
ijassa-1481	285	2	15	15	NUM
ijassa-1481	285	3	]	]	PUNCT
ijassa-1481	285	4	.	.	PUNCT
ijassa-1481	286	1	in	in	ADP
ijassa-1481	286	2	each	each	DET
ijassa-1481	286	3	object	object	NOUN
ijassa-1481	286	4	with	with	ADP
ijassa-1481	286	5	series	series	NOUN
ijassa-1481	286	6	connection	connection	NOUN
ijassa-1481	286	7	of	of	ADP
ijassa-1481	286	8	elements	element	NOUN
ijassa-1481	286	9	the	the	DET
ijassa-1481	286	10	probability	probability	NOUN
ijassa-1481	286	11	of	of	ADP
ijassa-1481	286	12	uptime	uptime	ADJ
ijassa-1481	286	13	operation	operation	NOUN
ijassa-1481	286	14	is	be	AUX
ijassa-1481	286	15	determined	determine	VERB
ijassa-1481	286	16	on	on	ADP
ijassa-1481	286	17	the	the	DET
ijassa-1481	286	18	basis	basis	NOUN
ijassa-1481	286	19	of	of	ADP
ijassa-1481	286	20	expressions	expression	NOUN
ijassa-1481	286	21	:	:	PUNCT
ijassa-1481	286	22	p0(t	p0(t	X
ijassa-1481	286	23	)	)	PUNCT
ijassa-1481	286	24	=	=	PUNCT
ijassa-1481	286	25	n∏	n∏	PROPN
ijassa-1481	286	26	i=1	i=1	PROPN
ijassa-1481	286	27	p0i(t	p0i(t	PROPN
ijassa-1481	286	28	)	)	PUNCT
ijassa-1481	286	29	,	,	PUNCT
ijassa-1481	286	30	p1(t	p1(t	X
ijassa-1481	286	31	)	)	PUNCT
ijassa-1481	286	32	=	=	PUNCT
ijassa-1481	286	33	n∏	n∏	PROPN
ijassa-1481	286	34	i=1	i=1	PROPN
ijassa-1481	286	35	p1i(t	p1i(t	PROPN
ijassa-1481	286	36	)	)	PUNCT
ijassa-1481	286	37	,	,	PUNCT
ijassa-1481	286	38	.	.	PUNCT
ijassa-1481	286	39	.	.	PUNCT
ijassa-1481	287	1	.	.	PUNCT
ijassa-1481	288	1	,	,	PUNCT
ijassa-1481	288	2	pm(t	pm(t	NOUN
ijassa-1481	288	3	)	)	PUNCT
ijassa-1481	289	1	=	=	PUNCT
ijassa-1481	289	2	n∏	n∏	PROPN
ijassa-1481	289	3	i=1	i=1	NOUN
ijassa-1481	289	4	pmi(t	pmi(t	NOUN
ijassa-1481	289	5	)	)	PUNCT
ijassa-1481	289	6	the	the	DET
ijassa-1481	289	7	main	main	ADJ
ijassa-1481	289	8	and	and	CCONJ
ijassa-1481	289	9	redundant	redundant	ADJ
ijassa-1481	289	10	facilities	facility	NOUN
ijassa-1481	289	11	,	,	PUNCT
ijassa-1481	289	12	consisting	consist	VERB
ijassa-1481	289	13	of	of	ADP
ijassa-1481	289	14	elements	element	NOUN
ijassa-1481	289	15	connected	connect	VERB
ijassa-1481	289	16	in	in	ADP
ijassa-1481	289	17	series	series	NOUN
ijassa-1481	289	18	,	,	PUNCT
ijassa-1481	289	19	constitute	constitute	VERB
ijassa-1481	289	20	the	the	DET
ijassa-1481	289	21	structural	structural	ADJ
ijassa-1481	289	22	reliability	reliability	NOUN
ijassa-1481	289	23	scheme	scheme	NOUN
ijassa-1481	289	24	of	of	ADP
ijassa-1481	289	25	the	the	DET
ijassa-1481	289	26	facility	facility	NOUN
ijassa-1481	289	27	with	with	ADP
ijassa-1481	289	28	parallel	parallel	ADJ
ijassa-1481	289	29	connection	connection	NOUN
ijassa-1481	289	30	.	.	PUNCT
ijassa-1481	290	1	then	then	ADV
ijassa-1481	290	2	the	the	DET
ijassa-1481	290	3	probability	probability	NOUN
ijassa-1481	290	4	of	of	ADP
ijassa-1481	290	5	uptime	uptime	ADJ
ijassa-1481	290	6	operation	operation	NOUN
ijassa-1481	290	7	pc(t	pc(t	NOUN
ijassa-1481	290	8	)	)	PUNCT
ijassa-1481	290	9	of	of	ADP
ijassa-1481	290	10	the	the	DET
ijassa-1481	290	11	object	object	NOUN
ijassa-1481	290	12	:	:	PUNCT
ijassa-1481	290	13	pc(t	pc(t	NOUN
ijassa-1481	290	14	)	)	PUNCT
ijassa-1481	290	15	=	=	SYM
ijassa-1481	291	1	1−	1−	NUM
ijassa-1481	291	2	[	[	PUNCT
ijassa-1481	291	3	1−	1−	NUM
ijassa-1481	291	4	n∏	n∏	PROPN
ijassa-1481	291	5	i=1	i=1	PROPN
ijassa-1481	291	6	pi(t	pi(t	NOUN
ijassa-1481	291	7	)	)	PUNCT
ijassa-1481	291	8	]	]	PUNCT
ijassa-1481	292	1	m+1	m+1	NUM
ijassa-1481	292	2	where	where	SCONJ
ijassa-1481	292	3	pi(t	pi(t	NOUN
ijassa-1481	292	4	)	)	PUNCT
ijassa-1481	292	5	–	–	PUNCT
ijassa-1481	292	6	probability	probability	NOUN
ijassa-1481	292	7	of	of	ADP
ijassa-1481	292	8	uptime	uptime	ADJ
ijassa-1481	292	9	operation	operation	NOUN
ijassa-1481	292	10	of	of	ADP
ijassa-1481	292	11	i	i	PROPN
ijassa-1481	292	12	-	-	PUNCT
ijassa-1481	292	13	th	th	X
ijassa-1481	292	14	element	element	NOUN
ijassa-1481	292	15	.	.	PUNCT
ijassa-1481	293	1	if	if	SCONJ
ijassa-1481	293	2	the	the	DET
ijassa-1481	293	3	failure	failure	NOUN
ijassa-1481	293	4	rate	rate	NOUN
ijassa-1481	293	5	of	of	ADP
ijassa-1481	293	6	an	an	DET
ijassa-1481	293	7	element	element	NOUN
ijassa-1481	293	8	is	be	AUX
ijassa-1481	293	9	known	know	VERB
ijassa-1481	293	10	and	and	CCONJ
ijassa-1481	293	11	it	it	PRON
ijassa-1481	293	12	is	be	AUX
ijassa-1481	293	13	a	a	DET
ijassa-1481	293	14	constant	constant	ADJ
ijassa-1481	293	15	value	value	NOUN
ijassa-1481	293	16	,	,	PUNCT
ijassa-1481	293	17	then	then	ADV
ijassa-1481	293	18	:	:	PUNCT
ijassa-1481	293	19	pc(t	pc(t	X
ijassa-1481	293	20	)	)	PUNCT
ijassa-1481	294	1	=	=	SYM
ijassa-1481	294	2	1−	1−	NUM
ijassa-1481	294	3	(	(	PUNCT
ijassa-1481	294	4	1−	1−	NUM
ijassa-1481	294	5	e−λ0t)m+1	e−λ0t)m+1	NUM
ijassa-1481	294	6	where	where	SCONJ
ijassa-1481	294	7	λ0	λ0	NOUN
ijassa-1481	294	8	=	=	PUNCT
ijassa-1481	294	9	∑n	∑n	PROPN
ijassa-1481	294	10	i=1	i=1	PROPN
ijassa-1481	294	11	λi	λi	ADJ
ijassa-1481	294	12	–	–	PUNCT
ijassa-1481	294	13	failure	failure	NOUN
ijassa-1481	294	14	rate	rate	NOUN
ijassa-1481	294	15	of	of	ADP
ijassa-1481	294	16	the	the	DET
ijassa-1481	294	17	main	main	ADJ
ijassa-1481	294	18	facility	facility	NOUN
ijassa-1481	294	19	or	or	CCONJ
ijassa-1481	294	20	any	any	PRON
ijassa-1481	294	21	of	of	ADP
ijassa-1481	294	22	the	the	DET
ijassa-1481	294	23	backup	backup	ADJ
ijassa-1481	294	24	facilities	facility	NOUN
ijassa-1481	294	25	.	.	PUNCT
ijassa-1481	295	1	mean	mean	VERB
ijassa-1481	295	2	time	time	NOUN
ijassa-1481	295	3	between	between	ADP
ijassa-1481	295	4	failures	failure	NOUN
ijassa-1481	295	5	(	(	PUNCT
ijassa-1481	295	6	mtbf	mtbf	NOUN
ijassa-1481	295	7	)	)	PUNCT
ijassa-1481	295	8	of	of	ADP
ijassa-1481	295	9	the	the	DET
ijassa-1481	295	10	redundant	redundant	ADJ
ijassa-1481	295	11	object	object	NOUN
ijassa-1481	295	12	:	:	PUNCT
ijassa-1481	295	13	t	t	NOUN
ijassa-1481	295	14	=	=	SYM
ijassa-1481	295	15	1	1	NUM
ijassa-1481	295	16	λ0	λ0	NOUN
ijassa-1481	295	17	m∑	m∑	CCONJ
ijassa-1481	295	18	j=0	j=0	PROPN
ijassa-1481	295	19	1	1	NUM
ijassa-1481	295	20	j	j	NOUN
ijassa-1481	295	21	+	+	NOUN
ijassa-1481	295	22	1	1	NUM
ijassa-1481	295	23	copyright	copyright	NOUN
ijassa-1481	295	24	©	©	PROPN
ijassa-1481	295	25	2024	2024	NUM
ijassa-1481	295	26	assa	assa	NOUN
ijassa-1481	295	27	.	.	PUNCT
ijassa-1481	296	1	adv	adv	PROPN
ijassa-1481	296	2	syst	syst	PROPN
ijassa-1481	296	3	sci	sci	PROPN
ijassa-1481	296	4	appl	appl	PROPN
ijassa-1481	296	5	(	(	PUNCT
ijassa-1481	296	6	2024	2024	NUM
ijassa-1481	296	7	)	)	PUNCT
ijassa-1481	296	8	176	176	NUM
ijassa-1481	296	9	n.	n.	NOUN
ijassa-1481	296	10	kucherov	kucherov	PROPN
ijassa-1481	296	11	,	,	PUNCT
ijassa-1481	296	12	m.	m.	NOUN
ijassa-1481	296	13	babenko	babenko	PROPN
ijassa-1481	296	14	,	,	PUNCT
ijassa-1481	296	15	e.	e.	PROPN
ijassa-1481	296	16	shiriaev	shiriaev	PROPN
ijassa-1481	296	17	,	,	PUNCT
ijassa-1481	296	18	n.v	n.v	PROPN
ijassa-1481	296	19	.	.	PROPN
ijassa-1481	296	20	hung	hung	ADJ
ijassa-1481	296	21	failure	failure	NOUN
ijassa-1481	296	22	intensity	intensity	NOUN
ijassa-1481	296	23	of	of	ADP
ijassa-1481	296	24	the	the	DET
ijassa-1481	296	25	redundant	redundant	ADJ
ijassa-1481	296	26	object	object	NOUN
ijassa-1481	296	27	:	:	PUNCT
ijassa-1481	296	28	λc	λc	X
ijassa-1481	296	29	=	=	SYM
ijassa-1481	296	30	(	(	PUNCT
ijassa-1481	296	31	m+	m+	NUM
ijassa-1481	296	32	1)λ0p0(t)q	1)λ0p0(t)q	NUM
ijassa-1481	296	33	m	m	NOUN
ijassa-1481	296	34	0	0	NUM
ijassa-1481	296	35	(	(	PUNCT
ijassa-1481	296	36	t	t	PROPN
ijassa-1481	296	37	)	)	PUNCT
ijassa-1481	296	38	1−qm+1	1−qm+1	NUM
ijassa-1481	296	39	0	0	NUM
ijassa-1481	296	40	(	(	PUNCT
ijassa-1481	296	41	t	t	NOUN
ijassa-1481	296	42	)	)	PUNCT
ijassa-1481	296	43	general	general	ADJ
ijassa-1481	296	44	hot	hot	ADJ
ijassa-1481	296	45	standby	standby	NOUN
ijassa-1481	296	46	for	for	ADP
ijassa-1481	296	47	non	non	ADJ
ijassa-1481	296	48	-	-	ADJ
ijassa-1481	296	49	recoverable	recoverable	ADJ
ijassa-1481	296	50	objects	object	NOUN
ijassa-1481	296	51	gives	give	VERB
ijassa-1481	296	52	a	a	DET
ijassa-1481	296	53	good	good	ADJ
ijassa-1481	296	54	effect	effect	NOUN
ijassa-1481	296	55	at	at	ADP
ijassa-1481	296	56	small	small	ADJ
ijassa-1481	296	57	values	value	NOUN
ijassa-1481	296	58	of	of	ADP
ijassa-1481	296	59	the	the	DET
ijassa-1481	296	60	product	product	NOUN
ijassa-1481	296	61	λ0	λ0	NOUN
ijassa-1481	296	62	t.	t.	NOUN
ijassa-1481	296	63	this	this	DET
ijassa-1481	296	64	type	type	NOUN
ijassa-1481	296	65	of	of	ADP
ijassa-1481	296	66	redundancy	redundancy	NOUN
ijassa-1481	296	67	is	be	AUX
ijassa-1481	296	68	most	most	ADV
ijassa-1481	296	69	appropriate	appropriate	ADJ
ijassa-1481	296	70	for	for	ADP
ijassa-1481	296	71	redundancy	redundancy	NOUN
ijassa-1481	296	72	of	of	ADP
ijassa-1481	296	73	sufficiently	sufficiently	ADV
ijassa-1481	296	74	reliable	reliable	ADJ
ijassa-1481	296	75	single	single	ADJ
ijassa-1481	296	76	-	-	PUNCT
ijassa-1481	296	77	use	use	NOUN
ijassa-1481	296	78	facilities	facility	NOUN
ijassa-1481	296	79	with	with	ADP
ijassa-1481	296	80	short	short	ADJ
ijassa-1481	296	81	continuous	continuous	ADJ
ijassa-1481	296	82	operation	operation	NOUN
ijassa-1481	296	83	time	time	NOUN
ijassa-1481	296	84	.	.	PUNCT
ijassa-1481	297	1	the	the	DET
ijassa-1481	297	2	redundancy	redundancy	NOUN
ijassa-1481	297	3	multiplicity	multiplicity	NOUN
ijassa-1481	297	4	m	m	AUX
ijassa-1481	297	5	required	require	VERB
ijassa-1481	297	6	to	to	PART
ijassa-1481	297	7	achieve	achieve	VERB
ijassa-1481	297	8	a	a	DET
ijassa-1481	297	9	given	give	VERB
ijassa-1481	297	10	reliability	reliability	NOUN
ijassa-1481	297	11	of	of	ADP
ijassa-1481	297	12	the	the	DET
ijassa-1481	297	13	redundant	redundant	ADJ
ijassa-1481	297	14	object	object	NOUN
ijassa-1481	297	15	at	at	ADP
ijassa-1481	297	16	a	a	DET
ijassa-1481	297	17	certain	certain	ADJ
ijassa-1481	297	18	point	point	NOUN
ijassa-1481	297	19	in	in	ADP
ijassa-1481	297	20	time	time	NOUN
ijassa-1481	297	21	at	at	ADP
ijassa-1481	297	22	a	a	DET
ijassa-1481	297	23	given	give	VERB
ijassa-1481	297	24	reliability	reliability	NOUN
ijassa-1481	297	25	of	of	ADP
ijassa-1481	297	26	the	the	DET
ijassa-1481	297	27	main	main	ADJ
ijassa-1481	297	28	object	object	NOUN
ijassa-1481	297	29	can	can	AUX
ijassa-1481	297	30	be	be	AUX
ijassa-1481	297	31	found	find	VERB
ijassa-1481	297	32	from	from	ADP
ijassa-1481	297	33	the	the	DET
ijassa-1481	297	34	expression	expression	NOUN
ijassa-1481	297	35	:	:	PUNCT
ijassa-1481	298	1	m	m	VERB
ijassa-1481	298	2	=	=	X
ijassa-1481	298	3	ln[1−	ln[1−	PRON
ijassa-1481	298	4	p3(t	p3(t	PROPN
ijassa-1481	298	5	)	)	PUNCT
ijassa-1481	298	6	]	]	PUNCT
ijassa-1481	298	7	ln[1−	ln[1−	PUNCT
ijassa-1481	299	1	p0(t	p0(t	NUM
ijassa-1481	299	2	)	)	PUNCT
ijassa-1481	299	3	]	]	PUNCT
ijassa-1481	300	1	−	−	PROPN
ijassa-1481	300	2	1	1	NUM
ijassa-1481	300	3	=	=	SYM
ijassa-1481	300	4	lnq3(t	lnq3(t	NOUN
ijassa-1481	300	5	)	)	PUNCT
ijassa-1481	300	6	lnq0(t	lnq0(t	NUM
ijassa-1481	300	7	)	)	PUNCT
ijassa-1481	300	8	−	−	PROPN
ijassa-1481	300	9	1	1	NUM
ijassa-1481	300	10	where	where	SCONJ
ijassa-1481	300	11	p3(t	p3(t	NOUN
ijassa-1481	300	12	)	)	PUNCT
ijassa-1481	300	13	–	–	PUNCT
ijassa-1481	300	14	specified	specify	VERB
ijassa-1481	300	15	reliability	reliability	NOUN
ijassa-1481	300	16	of	of	ADP
ijassa-1481	300	17	the	the	DET
ijassa-1481	300	18	redundant	redundant	ADJ
ijassa-1481	300	19	object	object	NOUN
ijassa-1481	300	20	at	at	ADP
ijassa-1481	300	21	a	a	DET
ijassa-1481	300	22	certain	certain	ADJ
ijassa-1481	300	23	point	point	NOUN
ijassa-1481	300	24	in	in	ADP
ijassa-1481	300	25	time	time	NOUN
ijassa-1481	300	26	;	;	PUNCT
ijassa-1481	300	27	p0(t	p0(t	X
ijassa-1481	300	28	)	)	PUNCT
ijassa-1481	300	29	–	–	PUNCT
ijassa-1481	300	30	reliability	reliability	NOUN
ijassa-1481	300	31	of	of	ADP
ijassa-1481	300	32	the	the	DET
ijassa-1481	300	33	main	main	ADJ
ijassa-1481	300	34	facility	facility	NOUN
ijassa-1481	300	35	without	without	ADP
ijassa-1481	300	36	redundancy	redundancy	NOUN
ijassa-1481	300	37	.	.	PUNCT
ijassa-1481	301	1	5.2	5.2	NUM
ijassa-1481	301	2	.	.	PUNCT
ijassa-1481	302	1	separate	separate	ADJ
ijassa-1481	302	2	hot	hot	ADJ
ijassa-1481	302	3	spare	spare	ADJ
ijassa-1481	302	4	capacity	capacity	NOUN
ijassa-1481	302	5	with	with	ADP
ijassa-1481	302	6	integer	integer	NOUN
ijassa-1481	302	7	multiplicity	multiplicity	NOUN
ijassa-1481	302	8	in	in	ADP
ijassa-1481	302	9	case	case	NOUN
ijassa-1481	302	10	of	of	ADP
ijassa-1481	302	11	separate	separate	ADJ
ijassa-1481	302	12	hot	hot	ADJ
ijassa-1481	302	13	standby	standby	NOUN
ijassa-1481	302	14	,	,	PUNCT
ijassa-1481	302	15	the	the	DET
ijassa-1481	302	16	main	main	ADJ
ijassa-1481	302	17	and	and	CCONJ
ijassa-1481	302	18	each	each	DET
ijassa-1481	302	19	redundant	redundant	ADJ
ijassa-1481	302	20	object	object	NOUN
ijassa-1481	302	21	can	can	AUX
ijassa-1481	302	22	have	have	VERB
ijassa-1481	302	23	the	the	DET
ijassa-1481	302	24	same	same	ADJ
ijassa-1481	302	25	or	or	CCONJ
ijassa-1481	302	26	different	different	ADJ
ijassa-1481	302	27	number	number	NOUN
ijassa-1481	302	28	of	of	ADP
ijassa-1481	302	29	elements	element	NOUN
ijassa-1481	302	30	.	.	PUNCT
ijassa-1481	303	1	the	the	DET
ijassa-1481	303	2	redundant	redundant	ADJ
ijassa-1481	303	3	objects	object	NOUN
ijassa-1481	303	4	are	be	AUX
ijassa-1481	303	5	switched	switch	VERB
ijassa-1481	303	6	on	on	ADP
ijassa-1481	303	7	in	in	ADP
ijassa-1481	303	8	parallel	parallel	NOUN
ijassa-1481	303	9	to	to	ADP
ijassa-1481	303	10	themselves	themselves	PRON
ijassa-1481	303	11	and	and	CCONJ
ijassa-1481	303	12	in	in	ADP
ijassa-1481	303	13	parallel	parallel	NOUN
ijassa-1481	303	14	to	to	ADP
ijassa-1481	303	15	the	the	DET
ijassa-1481	303	16	elements	element	NOUN
ijassa-1481	303	17	of	of	ADP
ijassa-1481	303	18	the	the	DET
ijassa-1481	303	19	main	main	ADJ
ijassa-1481	303	20	object	object	NOUN
ijassa-1481	303	21	.	.	PUNCT
ijassa-1481	304	1	each	each	DET
ijassa-1481	304	2	i	i	PROPN
ijassa-1481	304	3	-	-	PUNCT
ijassa-1481	304	4	th	th	X
ijassa-1481	304	5	element	element	NOUN
ijassa-1481	304	6	of	of	ADP
ijassa-1481	304	7	the	the	DET
ijassa-1481	304	8	main	main	ADJ
ijassa-1481	304	9	object	object	NOUN
ijassa-1481	304	10	is	be	AUX
ijassa-1481	304	11	redundant	redundant	ADJ
ijassa-1481	304	12	by	by	ADP
ijassa-1481	304	13	a	a	DET
ijassa-1481	304	14	redundant	redundant	ADJ
ijassa-1481	304	15	element	element	NOUN
ijassa-1481	304	16	.	.	PUNCT
ijassa-1481	305	1	in	in	ADP
ijassa-1481	305	2	case	case	NOUN
ijassa-1481	305	3	of	of	ADP
ijassa-1481	305	4	separate	separate	ADJ
ijassa-1481	305	5	redundancy	redundancy	NOUN
ijassa-1481	305	6	,	,	PUNCT
ijassa-1481	305	7	the	the	DET
ijassa-1481	305	8	object	object	NOUN
ijassa-1481	305	9	consists	consist	VERB
ijassa-1481	305	10	of	of	ADP
ijassa-1481	305	11	n	n	DET
ijassa-1481	305	12	elements	element	NOUN
ijassa-1481	305	13	connected	connect	VERB
ijassa-1481	305	14	in	in	ADP
ijassa-1481	305	15	series	series	NOUN
ijassa-1481	305	16	,	,	PUNCT
ijassa-1481	305	17	each	each	PRON
ijassa-1481	305	18	of	of	ADP
ijassa-1481	305	19	which	which	PRON
ijassa-1481	305	20	has	have	VERB
ijassa-1481	305	21	m	m	PROPN
ijassa-1481	305	22	elements	element	NOUN
ijassa-1481	305	23	connected	connect	VERB
ijassa-1481	305	24	in	in	ADP
ijassa-1481	305	25	parallel	parallel	NOUN
ijassa-1481	305	26	,	,	PUNCT
ijassa-1481	305	27	in	in	ADP
ijassa-1481	305	28	the	the	DET
ijassa-1481	305	29	sense	sense	NOUN
ijassa-1481	305	30	of	of	ADP
ijassa-1481	305	31	reliability	reliability	NOUN
ijassa-1481	305	32	.	.	PUNCT
ijassa-1481	306	1	the	the	DET
ijassa-1481	306	2	probability	probability	NOUN
ijassa-1481	306	3	of	of	ADP
ijassa-1481	306	4	uptime	uptime	NOUN
ijassa-1481	306	5	of	of	ADP
ijassa-1481	306	6	the	the	DET
ijassa-1481	306	7	object	object	NOUN
ijassa-1481	306	8	pc(t	pc(t	NOUN
ijassa-1481	306	9	)	)	PUNCT
ijassa-1481	306	10	under	under	ADP
ijassa-1481	306	11	separate	separate	ADJ
ijassa-1481	306	12	hot	hot	ADJ
ijassa-1481	306	13	standby	standby	NOUN
ijassa-1481	306	14	is	be	AUX
ijassa-1481	306	15	equal	equal	ADJ
ijassa-1481	306	16	to	to	ADP
ijassa-1481	306	17	:	:	PUNCT
ijassa-1481	306	18	pc(t	pc(t	X
ijassa-1481	306	19	)	)	PUNCT
ijassa-1481	307	1	=	=	PUNCT
ijassa-1481	307	2	n∏	n∏	PROPN
ijassa-1481	307	3	i=1	i=1	X
ijassa-1481	307	4	{	{	PUNCT
ijassa-1481	307	5	1−	1−	NUM
ijassa-1481	308	1	[	[	X
ijassa-1481	308	2	1−	1−	NUM
ijassa-1481	308	3	pi(t	pi(t	NOUN
ijassa-1481	308	4	)	)	PUNCT
ijassa-1481	308	5	]	]	PUNCT
ijassa-1481	308	6	mi+1	mi+1	X
ijassa-1481	308	7	}	}	PUNCT
ijassa-1481	308	8	=	=	SYM
ijassa-1481	308	9	n∏	n∏	PROPN
ijassa-1481	308	10	i=1	i=1	PRON
ijassa-1481	309	1	[	[	X
ijassa-1481	309	2	1−qmi+1	1−qmi+1	NUM
ijassa-1481	309	3	i	i	PRON
ijassa-1481	309	4	(	(	PUNCT
ijassa-1481	309	5	t	t	PROPN
ijassa-1481	309	6	)	)	PUNCT
ijassa-1481	309	7	]	]	PUNCT
ijassa-1481	309	8	where	where	SCONJ
ijassa-1481	309	9	mi	mi	PROPN
ijassa-1481	309	10	is	be	AUX
ijassa-1481	309	11	the	the	DET
ijassa-1481	309	12	redundancy	redundancy	NOUN
ijassa-1481	309	13	multiplicity	multiplicity	NOUN
ijassa-1481	309	14	of	of	ADP
ijassa-1481	309	15	each	each	DET
ijassa-1481	309	16	i	i	PROPN
ijassa-1481	309	17	-	-	PUNCT
ijassa-1481	309	18	th	th	X
ijassa-1481	309	19	element	element	NOUN
ijassa-1481	309	20	of	of	ADP
ijassa-1481	309	21	the	the	DET
ijassa-1481	309	22	main	main	ADJ
ijassa-1481	309	23	object	object	NOUN
ijassa-1481	309	24	.	.	PUNCT
ijassa-1481	310	1	if	if	SCONJ
ijassa-1481	310	2	the	the	DET
ijassa-1481	310	3	elements	element	NOUN
ijassa-1481	310	4	have	have	VERB
ijassa-1481	310	5	the	the	DET
ijassa-1481	310	6	same	same	ADJ
ijassa-1481	310	7	reliability	reliability	NOUN
ijassa-1481	310	8	and	and	CCONJ
ijassa-1481	310	9	the	the	DET
ijassa-1481	310	10	same	same	ADJ
ijassa-1481	310	11	redundancy	redundancy	NOUN
ijassa-1481	310	12	multiplicity	multiplicity	NOUN
ijassa-1481	310	13	,	,	PUNCT
ijassa-1481	310	14	the	the	DET
ijassa-1481	310	15	probability	probability	NOUN
ijassa-1481	310	16	of	of	ADP
ijassa-1481	310	17	uptime	uptime	ADJ
ijassa-1481	310	18	operation	operation	NOUN
ijassa-1481	310	19	of	of	ADP
ijassa-1481	310	20	the	the	DET
ijassa-1481	310	21	object	object	NOUN
ijassa-1481	310	22	:	:	PUNCT
ijassa-1481	310	23	pc(t	pc(t	NOUN
ijassa-1481	310	24	)	)	PUNCT
ijassa-1481	311	1	=	=	PUNCT
ijassa-1481	311	2	[	[	PUNCT
ijassa-1481	311	3	1−	1−	NUM
ijassa-1481	311	4	(	(	PUNCT
ijassa-1481	311	5	1−	1−	NUM
ijassa-1481	311	6	e−λt)m+1	e−λt)m+1	X
ijassa-1481	311	7	]	]	PUNCT
ijassa-1481	311	8	n	n	NOUN
ijassa-1481	311	9	=	=	SYM
ijassa-1481	312	1	[	[	X
ijassa-1481	312	2	1−qm+1	1−qm+1	NUM
ijassa-1481	312	3	i	i	PRON
ijassa-1481	312	4	(	(	PUNCT
ijassa-1481	312	5	t)]n	t)]n	NOUN
ijassa-1481	312	6	mtbf	mtbf	NOUN
ijassa-1481	312	7	of	of	ADP
ijassa-1481	312	8	the	the	DET
ijassa-1481	312	9	redundant	redundant	ADJ
ijassa-1481	312	10	object	object	NOUN
ijassa-1481	312	11	:	:	PUNCT
ijassa-1481	312	12	t	t	NOUN
ijassa-1481	312	13	=	=	SYM
ijassa-1481	312	14	(	(	PUNCT
ijassa-1481	312	15	n−	n−	NOUN
ijassa-1481	312	16	1	1	NUM
ijassa-1481	312	17	)	)	PUNCT
ijassa-1481	312	18	!	!	PUNCT
ijassa-1481	313	1	λ(m+	λ(m+	X
ijassa-1481	313	2	1	1	X
ijassa-1481	313	3	)	)	PUNCT
ijassa-1481	313	4	m∑	m∑	CCONJ
ijassa-1481	313	5	j=0	j=0	X
ijassa-1481	313	6	1	1	NUM
ijassa-1481	313	7	j+1	j+1	NOUN
ijassa-1481	313	8	m+1	m+1	NUM
ijassa-1481	313	9	(	(	PUNCT
ijassa-1481	313	10	j+1	j+1	PROPN
ijassa-1481	313	11	m+1	m+1	X
ijassa-1481	313	12	+	+	NUM
ijassa-1481	313	13	1	1	NUM
ijassa-1481	313	14	)	)	PUNCT
ijassa-1481	313	15	·	·	PUNCT
ijassa-1481	313	16	·	·	PUNCT
ijassa-1481	313	17	·	·	PUNCT
ijassa-1481	314	1	(	(	PUNCT
ijassa-1481	314	2	j+1	j+1	X
ijassa-1481	314	3	m+1	m+1	X
ijassa-1481	314	4	+	+	NUM
ijassa-1481	314	5	n−	n−	NOUN
ijassa-1481	314	6	1	1	NUM
ijassa-1481	314	7	)	)	PUNCT
ijassa-1481	314	8	failure	failure	NOUN
ijassa-1481	314	9	intensity	intensity	NOUN
ijassa-1481	314	10	of	of	ADP
ijassa-1481	314	11	the	the	DET
ijassa-1481	314	12	redundant	redundant	ADJ
ijassa-1481	314	13	object	object	NOUN
ijassa-1481	314	14	λc	λc	X
ijassa-1481	314	15	=	=	SYM
ijassa-1481	314	16	n	n	NOUN
ijassa-1481	314	17	·	·	PUNCT
ijassa-1481	314	18	(	(	PUNCT
ijassa-1481	314	19	m+	m+	NOUN
ijassa-1481	314	20	1	1	NUM
ijassa-1481	314	21	)	)	PUNCT
ijassa-1481	314	22	·	·	PUNCT
ijassa-1481	314	23	λ	λ	X
ijassa-1481	314	24	·	·	PUNCT
ijassa-1481	314	25	e−λt	e−λt	NOUN
ijassa-1481	314	26	·	·	PUNCT
ijassa-1481	314	27	(	(	PUNCT
ijassa-1481	314	28	1−	1−	NUM
ijassa-1481	314	29	e−λt)m	e−λt)m	NUM
ijassa-1481	314	30	1−	1−	NUM
ijassa-1481	314	31	(	(	PUNCT
ijassa-1481	314	32	1−	1−	NUM
ijassa-1481	314	33	e−λt)m+1	e−λt)m+1	X
ijassa-1481	314	34	=	=	PUNCT
ijassa-1481	314	35	n(m+	n(m+	NUM
ijassa-1481	314	36	1	1	NUM
ijassa-1481	314	37	)	)	PUNCT
ijassa-1481	314	38	·	·	PUNCT
ijassa-1481	315	1	λ	λ	X
ijassa-1481	315	2	·	·	PUNCT
ijassa-1481	315	3	p	p	X
ijassa-1481	315	4	(	(	PUNCT
ijassa-1481	315	5	t)qm(t	t)qm(t	NOUN
ijassa-1481	315	6	)	)	PUNCT
ijassa-1481	315	7	1−qm+1(t	1−qm+1(t	NUM
ijassa-1481	315	8	)	)	PUNCT
ijassa-1481	315	9	where	where	SCONJ
ijassa-1481	315	10	λ	λ	PROPN
ijassa-1481	315	11	is	be	AUX
ijassa-1481	315	12	the	the	DET
ijassa-1481	315	13	failure	failure	NOUN
ijassa-1481	315	14	rate	rate	NOUN
ijassa-1481	315	15	of	of	ADP
ijassa-1481	315	16	one	one	NUM
ijassa-1481	315	17	element	element	NOUN
ijassa-1481	315	18	.	.	PUNCT
ijassa-1481	316	1	other	other	ADJ
ijassa-1481	316	2	things	thing	NOUN
ijassa-1481	316	3	being	be	AUX
ijassa-1481	316	4	equal	equal	ADJ
ijassa-1481	316	5	,	,	PUNCT
ijassa-1481	316	6	separate	separate	ADJ
ijassa-1481	316	7	redundancy	redundancy	NOUN
ijassa-1481	316	8	gives	give	VERB
ijassa-1481	316	9	a	a	DET
ijassa-1481	316	10	significant	significant	ADJ
ijassa-1481	316	11	reliability	reliability	NOUN
ijassa-1481	316	12	improvement	improvement	NOUN
ijassa-1481	316	13	compared	compare	VERB
ijassa-1481	316	14	to	to	ADP
ijassa-1481	316	15	general	general	ADJ
ijassa-1481	316	16	redundancy	redundancy	NOUN
ijassa-1481	316	17	.	.	PUNCT
ijassa-1481	317	1	separate	separate	ADJ
ijassa-1481	317	2	redundancy	redundancy	NOUN
ijassa-1481	317	3	is	be	AUX
ijassa-1481	317	4	used	use	VERB
ijassa-1481	317	5	to	to	PART
ijassa-1481	317	6	increase	increase	VERB
ijassa-1481	317	7	the	the	DET
ijassa-1481	317	8	reliability	reliability	NOUN
ijassa-1481	317	9	of	of	ADP
ijassa-1481	317	10	facilities	facility	NOUN
ijassa-1481	317	11	with	with	ADP
ijassa-1481	317	12	a	a	DET
ijassa-1481	317	13	large	large	ADJ
ijassa-1481	317	14	number	number	NOUN
ijassa-1481	317	15	of	of	ADP
ijassa-1481	317	16	elements	element	NOUN
ijassa-1481	317	17	and	and	CCONJ
ijassa-1481	317	18	longtime	longtime	NOUN
ijassa-1481	317	19	of	of	ADP
ijassa-1481	317	20	use	use	NOUN
ijassa-1481	317	21	.	.	PUNCT
ijassa-1481	318	1	copyright	copyright	NOUN
ijassa-1481	318	2	©	©	ADP
ijassa-1481	318	3	2024	2024	NUM
ijassa-1481	318	4	assa	assa	NOUN
ijassa-1481	318	5	.	.	PUNCT
ijassa-1481	319	1	adv	adv	PROPN
ijassa-1481	319	2	syst	syst	PROPN
ijassa-1481	319	3	sci	sci	PROPN
ijassa-1481	319	4	appl	appl	PROPN
ijassa-1481	319	5	(	(	PUNCT
ijassa-1481	319	6	2024	2024	NUM
ijassa-1481	319	7	)	)	PUNCT
ijassa-1481	319	8	data	datum	NOUN
ijassa-1481	319	9	storage	storage	NOUN
ijassa-1481	319	10	with	with	ADP
ijassa-1481	319	11	increased	increase	VERB
ijassa-1481	319	12	survivability	survivability	NOUN
ijassa-1481	319	13	and	and	CCONJ
ijassa-1481	319	14	reliability	reliability	NOUN
ijassa-1481	319	15	...	...	PUNCT
ijassa-1481	319	16	177	177	NUM
ijassa-1481	319	17	5.3	5.3	NUM
ijassa-1481	319	18	.	.	PUNCT
ijassa-1481	320	1	hot	hot	ADJ
ijassa-1481	320	2	spare	spare	ADJ
ijassa-1481	320	3	capacity	capacity	NOUN
ijassa-1481	320	4	with	with	ADP
ijassa-1481	320	5	fractional	fractional	ADJ
ijassa-1481	320	6	multiplicity	multiplicity	NOUN
ijassa-1481	320	7	a	a	DET
ijassa-1481	320	8	majoritarian	majoritarian	ADJ
ijassa-1481	320	9	object	object	NOUN
ijassa-1481	320	10	can	can	AUX
ijassa-1481	320	11	be	be	AUX
ijassa-1481	320	12	considered	consider	VERB
ijassa-1481	320	13	as	as	ADP
ijassa-1481	320	14	a	a	DET
ijassa-1481	320	15	variant	variant	NOUN
ijassa-1481	320	16	of	of	ADP
ijassa-1481	320	17	an	an	DET
ijassa-1481	320	18	object	object	NOUN
ijassa-1481	320	19	with	with	ADP
ijassa-1481	320	20	parallel	parallel	ADJ
ijassa-1481	320	21	connection	connection	NOUN
ijassa-1481	320	22	of	of	ADP
ijassa-1481	320	23	elements	element	NOUN
ijassa-1481	320	24	,	,	PUNCT
ijassa-1481	320	25	the	the	DET
ijassa-1481	320	26	failure	failure	NOUN
ijassa-1481	320	27	of	of	ADP
ijassa-1481	320	28	which	which	PRON
ijassa-1481	320	29	will	will	AUX
ijassa-1481	320	30	occur	occur	VERB
ijassa-1481	320	31	if	if	SCONJ
ijassa-1481	320	32	k	k	PROPN
ijassa-1481	320	33	elements	element	NOUN
ijassa-1481	320	34	out	out	ADP
ijassa-1481	320	35	of	of	ADP
ijassa-1481	320	36	n	n	PRON
ijassa-1481	320	37	elements	element	NOUN
ijassa-1481	320	38	connected	connect	VERB
ijassa-1481	320	39	in	in	ADP
ijassa-1481	320	40	parallel	parallel	NOUN
ijassa-1481	320	41	are	be	AUX
ijassa-1481	320	42	operable	operable	ADJ
ijassa-1481	320	43	.	.	PUNCT
ijassa-1481	321	1	the	the	DET
ijassa-1481	321	2	presented	present	VERB
ijassa-1481	321	3	scheme	scheme	NOUN
ijassa-1481	321	4	is	be	AUX
ijassa-1481	321	5	operable	operable	ADJ
ijassa-1481	321	6	when	when	SCONJ
ijassa-1481	321	7	any	any	DET
ijassa-1481	321	8	two	two	NUM
ijassa-1481	321	9	,	,	PUNCT
ijassa-1481	321	10	three	three	NUM
ijassa-1481	321	11	,	,	PUNCT
ijassa-1481	321	12	four	four	NUM
ijassa-1481	321	13	or	or	CCONJ
ijassa-1481	321	14	all	all	DET
ijassa-1481	321	15	five	five	NUM
ijassa-1481	321	16	of	of	ADP
ijassa-1481	321	17	its	its	PRON
ijassa-1481	321	18	five	five	NUM
ijassa-1481	321	19	elements	element	NOUN
ijassa-1481	321	20	are	be	AUX
ijassa-1481	321	21	operable	operable	ADJ
ijassa-1481	321	22	.	.	PUNCT
ijassa-1481	322	1	the	the	DET
ijassa-1481	322	2	combinatorial	combinatorial	ADJ
ijassa-1481	322	3	method	method	NOUN
ijassa-1481	322	4	can	can	AUX
ijassa-1481	322	5	be	be	AUX
ijassa-1481	322	6	used	use	VERB
ijassa-1481	322	7	to	to	PART
ijassa-1481	322	8	calculate	calculate	VERB
ijassa-1481	322	9	the	the	DET
ijassa-1481	322	10	reliability	reliability	NOUN
ijassa-1481	322	11	of	of	ADP
ijassa-1481	322	12	majoritarian	majoritarian	ADJ
ijassa-1481	322	13	objects	object	NOUN
ijassa-1481	322	14	.	.	PUNCT
ijassa-1481	323	1	then	then	ADV
ijassa-1481	323	2	the	the	DET
ijassa-1481	323	3	probability	probability	NOUN
ijassa-1481	323	4	of	of	ADP
ijassa-1481	323	5	uptime	uptime	NOUN
ijassa-1481	323	6	of	of	ADP
ijassa-1481	323	7	the	the	DET
ijassa-1481	323	8	object	object	NOUN
ijassa-1481	323	9	:	:	PUNCT
ijassa-1481	323	10	pk	pk	NOUN
ijassa-1481	323	11	=	=	NOUN
ijassa-1481	323	12	ck	ck	INTJ
ijassa-1481	323	13	np	np	INTJ
ijassa-1481	323	14	k(1−	k(1−	ADJ
ijassa-1481	323	15	p)n−k	p)n−k	PROPN
ijassa-1481	323	16	where	where	SCONJ
ijassa-1481	323	17	ck	ck	PROPN
ijassa-1481	323	18	n	n	NOUN
ijassa-1481	323	19	=	=	SYM
ijassa-1481	323	20	n	n	X
ijassa-1481	323	21	!	!	PUNCT
ijassa-1481	323	22	k!(n−k	k!(n−k	NOUN
ijassa-1481	323	23	)	)	PUNCT
ijassa-1481	323	24	!	!	PUNCT
ijassa-1481	324	1	mtbf	mtbf	PROPN
ijassa-1481	324	2	of	of	ADP
ijassa-1481	324	3	the	the	DET
ijassa-1481	324	4	redundant	redundant	ADJ
ijassa-1481	324	5	object	object	NOUN
ijassa-1481	324	6	with	with	ADP
ijassa-1481	324	7	equal	equal	ADJ
ijassa-1481	324	8	reliability	reliability	NOUN
ijassa-1481	324	9	elements	element	NOUN
ijassa-1481	324	10	is	be	AUX
ijassa-1481	324	11	equal	equal	ADJ
ijassa-1481	324	12	:	:	PUNCT
ijassa-1481	324	13	tc	tc	NOUN
ijassa-1481	324	14	=	=	SYM
ijassa-1481	324	15	1	1	NUM
ijassa-1481	324	16	λ	λ	NOUN
ijassa-1481	324	17	k∑	k∑	NOUN
ijassa-1481	324	18	j=0	j=0	PROPN
ijassa-1481	324	19	1	1	NUM
ijassa-1481	324	20	n+	n+	ADP
ijassa-1481	324	21	j	j	NOUN
ijassa-1481	324	22	the	the	DET
ijassa-1481	324	23	analysis	analysis	NOUN
ijassa-1481	324	24	of	of	ADP
ijassa-1481	324	25	the	the	DET
ijassa-1481	324	26	last	last	ADJ
ijassa-1481	324	27	expression	expression	NOUN
ijassa-1481	324	28	allows	allow	VERB
ijassa-1481	324	29	us	we	PRON
ijassa-1481	324	30	to	to	PART
ijassa-1481	324	31	conclude	conclude	VERB
ijassa-1481	324	32	that	that	SCONJ
ijassa-1481	324	33	the	the	DET
ijassa-1481	324	34	average	average	ADJ
ijassa-1481	324	35	uptime	uptime	NOUN
ijassa-1481	324	36	of	of	ADP
ijassa-1481	324	37	a	a	DET
ijassa-1481	324	38	redundant	redundant	ADJ
ijassa-1481	324	39	object	object	NOUN
ijassa-1481	324	40	is	be	AUX
ijassa-1481	324	41	less	less	ADJ
ijassa-1481	324	42	than	than	ADP
ijassa-1481	324	43	that	that	PRON
ijassa-1481	324	44	of	of	ADP
ijassa-1481	324	45	an	an	DET
ijassa-1481	324	46	unreserved	unreserved	ADJ
ijassa-1481	324	47	object	object	NOUN
ijassa-1481	324	48	.	.	PUNCT
ijassa-1481	325	1	therefore	therefore	ADV
ijassa-1481	325	2	,	,	PUNCT
ijassa-1481	325	3	redundancy	redundancy	NOUN
ijassa-1481	325	4	with	with	ADP
ijassa-1481	325	5	fractional	fractional	ADJ
ijassa-1481	325	6	multiplicity	multiplicity	NOUN
ijassa-1481	325	7	is	be	AUX
ijassa-1481	325	8	inexpedient	inexpedient	ADJ
ijassa-1481	325	9	to	to	PART
ijassa-1481	325	10	use	use	VERB
ijassa-1481	325	11	for	for	ADP
ijassa-1481	325	12	objects	object	NOUN
ijassa-1481	325	13	with	with	ADP
ijassa-1481	325	14	long	long	ADJ
ijassa-1481	325	15	continuous	continuous	ADJ
ijassa-1481	325	16	operation	operation	NOUN
ijassa-1481	325	17	time	time	NOUN
ijassa-1481	325	18	.	.	PUNCT
ijassa-1481	326	1	5.4	5.4	NUM
ijassa-1481	326	2	.	.	PUNCT
ijassa-1481	326	3	cold	cold	ADJ
ijassa-1481	326	4	backup	backup	NOUN
ijassa-1481	326	5	with	with	ADP
ijassa-1481	326	6	integer	integer	NOUN
ijassa-1481	326	7	multiplicity	multiplicity	NOUN
ijassa-1481	326	8	in	in	ADP
ijassa-1481	326	9	the	the	DET
ijassa-1481	326	10	case	case	NOUN
ijassa-1481	326	11	of	of	ADP
ijassa-1481	326	12	general	general	ADJ
ijassa-1481	326	13	cold	cold	PROPN
ijassa-1481	326	14	backup	backup	PROPN
ijassa-1481	326	15	,	,	PUNCT
ijassa-1481	326	16	the	the	DET
ijassa-1481	326	17	main	main	ADJ
ijassa-1481	326	18	facility	facility	NOUN
ijassa-1481	326	19	operates	operate	VERB
ijassa-1481	326	20	,	,	PUNCT
ijassa-1481	326	21	the	the	DET
ijassa-1481	326	22	backup	backup	ADJ
ijassa-1481	326	23	facilities	facility	NOUN
ijassa-1481	326	24	are	be	AUX
ijassa-1481	326	25	disconnected	disconnect	VERB
ijassa-1481	326	26	by	by	ADP
ijassa-1481	326	27	means	mean	NOUN
ijassa-1481	326	28	of	of	ADP
ijassa-1481	326	29	special	special	ADJ
ijassa-1481	326	30	switching	switching	NOUN
ijassa-1481	326	31	devices	device	NOUN
ijassa-1481	326	32	.	.	PUNCT
ijassa-1481	327	1	if	if	SCONJ
ijassa-1481	327	2	the	the	DET
ijassa-1481	327	3	main	main	ADJ
ijassa-1481	327	4	object	object	NOUN
ijassa-1481	327	5	fails	fail	VERB
ijassa-1481	327	6	,	,	PUNCT
ijassa-1481	327	7	it	it	PRON
ijassa-1481	327	8	is	be	AUX
ijassa-1481	327	9	disconnected	disconnect	VERB
ijassa-1481	327	10	and	and	CCONJ
ijassa-1481	327	11	one	one	NUM
ijassa-1481	327	12	of	of	ADP
ijassa-1481	327	13	the	the	DET
ijassa-1481	327	14	redundant	redundant	ADJ
ijassa-1481	327	15	objects	object	NOUN
ijassa-1481	327	16	is	be	AUX
ijassa-1481	327	17	connected	connect	VERB
ijassa-1481	327	18	instead	instead	ADV
ijassa-1481	327	19	.	.	PUNCT
ijassa-1481	328	1	thus	thus	ADV
ijassa-1481	328	2	,	,	PUNCT
ijassa-1481	328	3	the	the	DET
ijassa-1481	328	4	redundant	redundant	ADJ
ijassa-1481	328	5	object	object	NOUN
ijassa-1481	328	6	will	will	AUX
ijassa-1481	328	7	fail	fail	VERB
ijassa-1481	328	8	when	when	SCONJ
ijassa-1481	328	9	the	the	DET
ijassa-1481	328	10	main	main	ADJ
ijassa-1481	328	11	and	and	CCONJ
ijassa-1481	328	12	all	all	DET
ijassa-1481	328	13	reserve	reserve	NOUN
ijassa-1481	328	14	objects	object	NOUN
ijassa-1481	328	15	fail	fail	ADJ
ijassa-1481	328	16	.	.	PUNCT
ijassa-1481	329	1	it	it	PRON
ijassa-1481	329	2	is	be	AUX
ijassa-1481	329	3	assumed	assume	VERB
ijassa-1481	329	4	that	that	SCONJ
ijassa-1481	329	5	the	the	DET
ijassa-1481	329	6	switching	switch	VERB
ijassa-1481	329	7	devices	device	NOUN
ijassa-1481	329	8	are	be	AUX
ijassa-1481	329	9	absolutely	absolutely	ADV
ijassa-1481	329	10	reliable	reliable	ADJ
ijassa-1481	329	11	.	.	PUNCT
ijassa-1481	330	1	then	then	ADV
ijassa-1481	330	2	the	the	DET
ijassa-1481	330	3	probability	probability	NOUN
ijassa-1481	330	4	of	of	ADP
ijassa-1481	330	5	uptime	uptime	NOUN
ijassa-1481	330	6	is	be	AUX
ijassa-1481	330	7	equal	equal	ADJ
ijassa-1481	330	8	to	to	ADP
ijassa-1481	330	9	the	the	DET
ijassa-1481	330	10	probability	probability	NOUN
ijassa-1481	330	11	of	of	ADP
ijassa-1481	330	12	failure	failure	NOUN
ijassa-1481	330	13	.	.	PUNCT
ijassa-1481	331	1	pc(t	pc(t	NOUN
ijassa-1481	331	2	)	)	PUNCT
ijassa-1481	332	1	=	=	PUNCT
ijassa-1481	332	2	m∑	m∑	CCONJ
ijassa-1481	332	3	j=0	j=0	PROPN
ijassa-1481	332	4	p	p	PROPN
ijassa-1481	332	5	(	(	PUNCT
ijassa-1481	332	6	aj	aj	PROPN
ijassa-1481	332	7	)	)	PUNCT
ijassa-1481	332	8	=	=	PUNCT
ijassa-1481	332	9	e−λ0	e−λ0	ADP
ijassa-1481	332	10	t	t	PROPN
ijassa-1481	332	11	m∑	m∑	CCONJ
ijassa-1481	332	12	j=0	j=0	PROPN
ijassa-1481	332	13	(	(	PUNCT
ijassa-1481	332	14	λ0	λ0	NOUN
ijassa-1481	332	15	t	t	NOUN
ijassa-1481	332	16	)	)	PUNCT
ijassa-1481	333	1	j	j	PROPN
ijassa-1481	333	2	j	j	PROPN
ijassa-1481	333	3	!	!	PUNCT
ijassa-1481	333	4	where	where	SCONJ
ijassa-1481	333	5	λ0	λ0	NOUN
ijassa-1481	333	6	=	=	PUNCT
ijassa-1481	333	7	∑n	∑n	PROPN
ijassa-1481	333	8	i=1	i=1	PROPN
ijassa-1481	333	9	λi	λi	PROPN
ijassa-1481	333	10	.	.	PROPN
ijassa-1481	333	11	failure	failure	NOUN
ijassa-1481	333	12	rate	rate	NOUN
ijassa-1481	333	13	:	:	PUNCT
ijassa-1481	333	14	λc(t	λc(t	X
ijassa-1481	333	15	)	)	PUNCT
ijassa-1481	333	16	=	=	PUNCT
ijassa-1481	334	1	λ0(λ0	λ0(λ0	NOUN
ijassa-1481	334	2	t	t	PROPN
ijassa-1481	334	3	)	)	PUNCT
ijassa-1481	334	4	m	m	PROPN
ijassa-1481	334	5	m	m	NOUN
ijassa-1481	334	6	!	!	PUNCT
ijassa-1481	335	1	∑m	∑m	PROPN
ijassa-1481	335	2	j	j	PROPN
ijassa-1481	335	3	(	(	PUNCT
ijassa-1481	335	4	λ0t)j	λ0t)j	PROPN
ijassa-1481	335	5	j	j	PROPN
ijassa-1481	335	6	!	!	PUNCT
ijassa-1481	335	7	mtbf	mtbf	PROPN
ijassa-1481	335	8	:	:	PUNCT
ijassa-1481	335	9	tc	tc	NOUN
ijassa-1481	335	10	=	=	PUNCT
ijassa-1481	335	11	m+	m+	NUM
ijassa-1481	335	12	1	1	NUM
ijassa-1481	335	13	λ0	λ0	NOUN
ijassa-1481	335	14	=	=	SYM
ijassa-1481	335	15	(	(	PUNCT
ijassa-1481	335	16	m+	m+	NOUN
ijassa-1481	335	17	1)t0	1)t0	NUM
ijassa-1481	335	18	5.5	5.5	NUM
ijassa-1481	335	19	.	.	PUNCT
ijassa-1481	336	1	separate	separate	ADJ
ijassa-1481	336	2	cold	cold	ADJ
ijassa-1481	336	3	backup	backup	NOUN
ijassa-1481	336	4	with	with	ADP
ijassa-1481	336	5	integer	integer	PROPN
ijassa-1481	336	6	multiplicity	multiplicity	NOUN
ijassa-1481	336	7	probability	probability	NOUN
ijassa-1481	336	8	of	of	ADP
ijassa-1481	336	9	uptime	uptime	NOUN
ijassa-1481	336	10	of	of	ADP
ijassa-1481	336	11	the	the	DET
ijassa-1481	336	12	main	main	ADJ
ijassa-1481	336	13	object	object	NOUN
ijassa-1481	336	14	when	when	SCONJ
ijassa-1481	336	15	the	the	DET
ijassa-1481	336	16	elements	element	NOUN
ijassa-1481	336	17	are	be	AUX
ijassa-1481	336	18	connected	connect	VERB
ijassa-1481	336	19	in	in	ADP
ijassa-1481	336	20	series	series	NOUN
ijassa-1481	336	21	p0(t	p0(t	PROPN
ijassa-1481	336	22	)	)	PUNCT
ijassa-1481	336	23	=	=	PROPN
ijassa-1481	336	24	n∏	n∏	PROPN
ijassa-1481	336	25	i=0	i=0	PROPN
ijassa-1481	336	26	pi(t	pi(t	X
ijassa-1481	336	27	)	)	PUNCT
ijassa-1481	336	28	where	where	SCONJ
ijassa-1481	336	29	pi(t	pi(t	NOUN
ijassa-1481	336	30	)	)	PUNCT
ijassa-1481	336	31	–	–	PUNCT
ijassa-1481	336	32	probability	probability	NOUN
ijassa-1481	336	33	of	of	ADP
ijassa-1481	336	34	uptime	uptime	NOUN
ijassa-1481	336	35	of	of	ADP
ijassa-1481	336	36	the	the	DET
ijassa-1481	336	37	object	object	NOUN
ijassa-1481	336	38	elements	element	NOUN
ijassa-1481	336	39	redundant	redundant	ADJ
ijassa-1481	336	40	by	by	ADP
ijassa-1481	336	41	the	the	DET
ijassa-1481	336	42	method	method	NOUN
ijassa-1481	336	43	of	of	ADP
ijassa-1481	336	44	replacement	replacement	NOUN
ijassa-1481	336	45	.	.	PUNCT
ijassa-1481	337	1	the	the	DET
ijassa-1481	337	2	probability	probability	NOUN
ijassa-1481	337	3	of	of	ADP
ijassa-1481	337	4	uptime	uptime	NOUN
ijassa-1481	337	5	of	of	ADP
ijassa-1481	337	6	an	an	DET
ijassa-1481	337	7	object	object	NOUN
ijassa-1481	337	8	if	if	SCONJ
ijassa-1481	337	9	all	all	DET
ijassa-1481	337	10	elements	element	NOUN
ijassa-1481	337	11	are	be	AUX
ijassa-1481	337	12	equally	equally	ADV
ijassa-1481	337	13	reliable	reliable	ADJ
ijassa-1481	337	14	:	:	PUNCT
ijassa-1481	337	15	pc(t	pc(t	NOUN
ijassa-1481	337	16	)	)	PUNCT
ijassa-1481	337	17	=	=	PUNCT
ijassa-1481	337	18	eλ0	eλ0	PROPN
ijassa-1481	337	19	t	t	PROPN
ijassa-1481	337	20	[	[	PUNCT
ijassa-1481	337	21	m∑	m∑	CCONJ
ijassa-1481	337	22	j=0	j=0	PROPN
ijassa-1481	337	23	(	(	PUNCT
ijassa-1481	337	24	λt)j	λt)j	PROPN
ijassa-1481	337	25	j	j	NOUN
ijassa-1481	337	26	!	!	PUNCT
ijassa-1481	337	27	]	]	PUNCT
ijassa-1481	338	1	n	n	X
ijassa-1481	338	2	copyright	copyright	NOUN
ijassa-1481	338	3	©	©	PROPN
ijassa-1481	338	4	2024	2024	NUM
ijassa-1481	338	5	assa	assa	NOUN
ijassa-1481	338	6	.	.	PUNCT
ijassa-1481	339	1	adv	adv	PROPN
ijassa-1481	339	2	syst	syst	PROPN
ijassa-1481	339	3	sci	sci	PROPN
ijassa-1481	339	4	appl	appl	PROPN
ijassa-1481	339	5	(	(	PUNCT
ijassa-1481	339	6	2024	2024	NUM
ijassa-1481	339	7	)	)	PUNCT
ijassa-1481	339	8	178	178	NUM
ijassa-1481	339	9	n.	n.	NOUN
ijassa-1481	339	10	kucherov	kucherov	PROPN
ijassa-1481	339	11	,	,	PUNCT
ijassa-1481	339	12	m.	m.	NOUN
ijassa-1481	339	13	babenko	babenko	PROPN
ijassa-1481	339	14	,	,	PUNCT
ijassa-1481	339	15	e.	e.	PROPN
ijassa-1481	339	16	shiriaev	shiriaev	PROPN
ijassa-1481	339	17	,	,	PUNCT
ijassa-1481	339	18	n.v	n.v	PROPN
ijassa-1481	339	19	.	.	PROPN
ijassa-1481	339	20	hung	hung	ADJ
ijassa-1481	339	21	failure	failure	NOUN
ijassa-1481	339	22	rate	rate	NOUN
ijassa-1481	339	23	:	:	PUNCT
ijassa-1481	339	24	λc(t	λc(t	X
ijassa-1481	339	25	)	)	PUNCT
ijassa-1481	339	26	=	=	SYM
ijassa-1481	339	27	λ0(λt	λ0(λt	PROPN
ijassa-1481	339	28	)	)	PUNCT
ijassa-1481	339	29	m	m	VERB
ijassa-1481	339	30	m	m	PROPN
ijassa-1481	339	31	!	!	PUNCT
ijassa-1481	340	1	∑m	∑m	PROPN
ijassa-1481	340	2	j=0	j=0	PROPN
ijassa-1481	340	3	(	(	PUNCT
ijassa-1481	340	4	λt)m′	λt)m′	PROPN
ijassa-1481	340	5	j	j	PROPN
ijassa-1481	340	6	!	!	PUNCT
ijassa-1481	340	7	where	where	SCONJ
ijassa-1481	340	8	λ	λ	INTJ
ijassa-1481	340	9	–	–	PUNCT
ijassa-1481	340	10	failure	failure	NOUN
ijassa-1481	340	11	rate	rate	NOUN
ijassa-1481	340	12	of	of	ADP
ijassa-1481	340	13	one	one	NUM
ijassa-1481	340	14	element	element	NOUN
ijassa-1481	340	15	,	,	PUNCT
ijassa-1481	340	16	λ0	λ0	NOUN
ijassa-1481	340	17	=	=	SYM
ijassa-1481	340	18	nλ	nλ	PROPN
ijassa-1481	340	19	.	.	PROPN
ijassa-1481	340	20	mtbf	mtbf	PROPN
ijassa-1481	340	21	:	:	PUNCT
ijassa-1481	340	22	tc	tc	NOUN
ijassa-1481	340	23	=	=	PUNCT
ijassa-1481	340	24	m+	m+	NUM
ijassa-1481	340	25	1	1	NUM
ijassa-1481	340	26	λ0	λ0	NOUN
ijassa-1481	340	27	=	=	SYM
ijassa-1481	340	28	(	(	PUNCT
ijassa-1481	340	29	m+	m+	NOUN
ijassa-1481	340	30	1)t0	1)t0	NUM
ijassa-1481	340	31	separate	separate	ADJ
ijassa-1481	340	32	redundancy	redundancy	NOUN
ijassa-1481	340	33	by	by	ADP
ijassa-1481	340	34	replacement	replacement	NOUN
ijassa-1481	340	35	,	,	PUNCT
ijassa-1481	340	36	all	all	DET
ijassa-1481	340	37	other	other	ADJ
ijassa-1481	340	38	things	thing	NOUN
ijassa-1481	340	39	being	be	AUX
ijassa-1481	340	40	equal	equal	ADJ
ijassa-1481	340	41	,	,	PUNCT
ijassa-1481	340	42	gives	give	VERB
ijassa-1481	340	43	the	the	DET
ijassa-1481	340	44	greatest	great	ADJ
ijassa-1481	340	45	reliability	reliability	NOUN
ijassa-1481	340	46	gain	gain	NOUN
ijassa-1481	340	47	compared	compare	VERB
ijassa-1481	340	48	to	to	ADP
ijassa-1481	340	49	other	other	ADJ
ijassa-1481	340	50	types	type	NOUN
ijassa-1481	340	51	of	of	ADP
ijassa-1481	340	52	redundancy	redundancy	NOUN
ijassa-1481	340	53	.	.	PUNCT
ijassa-1481	341	1	and	and	CCONJ
ijassa-1481	341	2	this	this	DET
ijassa-1481	341	3	gain	gain	NOUN
ijassa-1481	341	4	is	be	AUX
ijassa-1481	341	5	greater	great	ADJ
ijassa-1481	341	6	the	the	DET
ijassa-1481	341	7	more	more	ADJ
ijassa-1481	341	8	elements	element	NOUN
ijassa-1481	341	9	the	the	DET
ijassa-1481	341	10	redundant	redundant	ADJ
ijassa-1481	341	11	system	system	NOUN
ijassa-1481	341	12	has	have	VERB
ijassa-1481	341	13	.	.	PUNCT
ijassa-1481	342	1	5.6	5.6	NUM
ijassa-1481	342	2	.	.	PUNCT
ijassa-1481	343	1	sliding	slide	VERB
ijassa-1481	343	2	reservation	reservation	NOUN
ijassa-1481	343	3	sliding	slide	VERB
ijassa-1481	343	4	redundancy	redundancy	NOUN
ijassa-1481	343	5	is	be	AUX
ijassa-1481	343	6	used	use	VERB
ijassa-1481	343	7	to	to	PART
ijassa-1481	343	8	increase	increase	VERB
ijassa-1481	343	9	the	the	DET
ijassa-1481	343	10	reliability	reliability	NOUN
ijassa-1481	343	11	of	of	ADP
ijassa-1481	343	12	several	several	ADJ
ijassa-1481	343	13	identical	identical	ADJ
ijassa-1481	343	14	(	(	PUNCT
ijassa-1481	343	15	or	or	CCONJ
ijassa-1481	343	16	interchangeable	interchangeable	ADJ
ijassa-1481	343	17	)	)	PUNCT
ijassa-1481	343	18	elements	element	NOUN
ijassa-1481	343	19	of	of	ADP
ijassa-1481	343	20	the	the	DET
ijassa-1481	343	21	facility	facility	NOUN
ijassa-1481	343	22	by	by	ADP
ijassa-1481	343	23	one	one	NUM
ijassa-1481	343	24	or	or	CCONJ
ijassa-1481	343	25	more	more	ADJ
ijassa-1481	343	26	reserve	reserve	NOUN
ijassa-1481	343	27	elements	element	NOUN
ijassa-1481	343	28	.	.	PUNCT
ijassa-1481	344	1	in	in	ADP
ijassa-1481	344	2	this	this	DET
ijassa-1481	344	3	case	case	NOUN
ijassa-1481	344	4	,	,	PUNCT
ijassa-1481	344	5	the	the	DET
ijassa-1481	344	6	failure	failure	NOUN
ijassa-1481	344	7	of	of	ADP
ijassa-1481	344	8	the	the	DET
ijassa-1481	344	9	object	object	NOUN
ijassa-1481	344	10	will	will	AUX
ijassa-1481	344	11	occur	occur	VERB
ijassa-1481	344	12	if	if	SCONJ
ijassa-1481	344	13	the	the	DET
ijassa-1481	344	14	number	number	NOUN
ijassa-1481	344	15	of	of	ADP
ijassa-1481	344	16	failed	fail	VERB
ijassa-1481	344	17	main	main	ADJ
ijassa-1481	344	18	elements	element	NOUN
ijassa-1481	344	19	exceeds	exceed	VERB
ijassa-1481	344	20	the	the	DET
ijassa-1481	344	21	number	number	NOUN
ijassa-1481	344	22	of	of	ADP
ijassa-1481	344	23	redundant	redundant	ADJ
ijassa-1481	344	24	elements	element	NOUN
ijassa-1481	344	25	.	.	PUNCT
ijassa-1481	345	1	this	this	DET
ijassa-1481	345	2	type	type	NOUN
ijassa-1481	345	3	of	of	ADP
ijassa-1481	345	4	redundancy	redundancy	NOUN
ijassa-1481	345	5	is	be	AUX
ijassa-1481	345	6	used	use	VERB
ijassa-1481	345	7	if	if	SCONJ
ijassa-1481	345	8	all	all	DET
ijassa-1481	345	9	elements	element	NOUN
ijassa-1481	345	10	of	of	ADP
ijassa-1481	345	11	the	the	DET
ijassa-1481	345	12	object	object	NOUN
ijassa-1481	345	13	perform	perform	VERB
ijassa-1481	345	14	the	the	DET
ijassa-1481	345	15	same	same	ADJ
ijassa-1481	345	16	functions	function	NOUN
ijassa-1481	345	17	.	.	PUNCT
ijassa-1481	346	1	the	the	DET
ijassa-1481	346	2	main	main	ADJ
ijassa-1481	346	3	object	object	NOUN
ijassa-1481	346	4	has	have	VERB
ijassa-1481	346	5	n	n	DET
ijassa-1481	346	6	elements	element	NOUN
ijassa-1481	346	7	,	,	PUNCT
ijassa-1481	346	8	and	and	CCONJ
ijassa-1481	346	9	m	m	PROPN
ijassa-1481	346	10	elements	element	NOUN
ijassa-1481	346	11	are	be	AUX
ijassa-1481	346	12	in	in	ADP
ijassa-1481	346	13	cold	cold	ADJ
ijassa-1481	346	14	standby	standby	NOUN
ijassa-1481	346	15	.	.	PUNCT
ijassa-1481	347	1	in	in	ADP
ijassa-1481	347	2	this	this	DET
ijassa-1481	347	3	case	case	NOUN
ijassa-1481	347	4	m	m	VERB
ijassa-1481	347	5	<	<	X
ijassa-1481	347	6	n.	n.	NOUN
ijassa-1481	347	7	if	if	SCONJ
ijassa-1481	347	8	any	any	DET
ijassa-1481	347	9	main	main	ADJ
ijassa-1481	347	10	element	element	NOUN
ijassa-1481	347	11	fails	fail	VERB
ijassa-1481	347	12	,	,	PUNCT
ijassa-1481	347	13	any	any	PRON
ijassa-1481	347	14	of	of	ADP
ijassa-1481	347	15	the	the	DET
ijassa-1481	347	16	reserve	reserve	NOUN
ijassa-1481	347	17	elements	element	NOUN
ijassa-1481	347	18	is	be	AUX
ijassa-1481	347	19	connected	connect	VERB
ijassa-1481	347	20	instead	instead	ADV
ijassa-1481	347	21	of	of	ADP
ijassa-1481	347	22	it	it	PRON
ijassa-1481	347	23	.	.	PUNCT
ijassa-1481	348	1	in	in	ADP
ijassa-1481	348	2	this	this	DET
ijassa-1481	348	3	case	case	NOUN
ijassa-1481	348	4	,	,	PUNCT
ijassa-1481	348	5	the	the	DET
ijassa-1481	348	6	redundancy	redundancy	NOUN
ijassa-1481	348	7	multiplicity	multiplicity	NOUN
ijassa-1481	348	8	is	be	AUX
ijassa-1481	348	9	m	m	PRON
ijassa-1481	348	10	/	/	SYM
ijassa-1481	348	11	n.	n.	VERB
ijassa-1481	348	12	the	the	DET
ijassa-1481	348	13	probability	probability	NOUN
ijassa-1481	348	14	of	of	ADP
ijassa-1481	348	15	uptime	uptime	NOUN
ijassa-1481	348	16	of	of	ADP
ijassa-1481	348	17	such	such	DET
ijassa-1481	348	18	an	an	DET
ijassa-1481	348	19	object	object	NOUN
ijassa-1481	348	20	is	be	AUX
ijassa-1481	348	21	equal	equal	ADJ
ijassa-1481	348	22	to	to	ADP
ijassa-1481	348	23	:	:	PUNCT
ijassa-1481	348	24	pc(t	pc(t	X
ijassa-1481	348	25	)	)	PUNCT
ijassa-1481	348	26	=	=	PUNCT
ijassa-1481	349	1	m∑	m∑	CCONJ
ijassa-1481	349	2	j=0	j=0	PROPN
ijassa-1481	349	3	p	p	PROPN
ijassa-1481	349	4	(	(	PUNCT
ijassa-1481	349	5	aj	aj	PROPN
ijassa-1481	349	6	)	)	PUNCT
ijassa-1481	349	7	=	=	PUNCT
ijassa-1481	349	8	e−λ0	e−λ0	ADP
ijassa-1481	349	9	t	t	PROPN
ijassa-1481	349	10	m∑	m∑	CCONJ
ijassa-1481	349	11	j=0	j=0	PROPN
ijassa-1481	349	12	(	(	PUNCT
ijassa-1481	349	13	λ0	λ0	NOUN
ijassa-1481	349	14	t	t	NOUN
ijassa-1481	349	15	)	)	PUNCT
ijassa-1481	350	1	j	j	PROPN
ijassa-1481	350	2	j	j	PROPN
ijassa-1481	350	3	!	!	PUNCT
ijassa-1481	350	4	where	where	SCONJ
ijassa-1481	350	5	λ0	λ0	NOUN
ijassa-1481	350	6	=	=	PUNCT
ijassa-1481	350	7	∑n	∑n	PROPN
ijassa-1481	350	8	i=1	i=1	PROPN
ijassa-1481	350	9	λi	λi	PROPN
ijassa-1481	350	10	.	.	PROPN
ijassa-1481	350	11	failure	failure	NOUN
ijassa-1481	350	12	rate	rate	NOUN
ijassa-1481	350	13	:	:	PUNCT
ijassa-1481	350	14	λc(t	λc(t	X
ijassa-1481	350	15	)	)	PUNCT
ijassa-1481	350	16	=	=	PUNCT
ijassa-1481	351	1	λ0(λ0	λ0(λ0	NOUN
ijassa-1481	351	2	t	t	PROPN
ijassa-1481	351	3	)	)	PUNCT
ijassa-1481	351	4	m	m	PROPN
ijassa-1481	351	5	m	m	PROPN
ijassa-1481	351	6	!	!	PUNCT
ijassa-1481	352	1	∑m	∑m	PROPN
ijassa-1481	352	2	j=0	j=0	PROPN
ijassa-1481	352	3	(	(	PUNCT
ijassa-1481	352	4	λ0t)j	λ0t)j	PROPN
ijassa-1481	352	5	j	j	PROPN
ijassa-1481	352	6	!	!	PUNCT
ijassa-1481	352	7	mtbf	mtbf	PROPN
ijassa-1481	352	8	:	:	PUNCT
ijassa-1481	352	9	tc	tc	NOUN
ijassa-1481	352	10	=	=	PUNCT
ijassa-1481	352	11	m+	m+	NUM
ijassa-1481	352	12	1	1	NUM
ijassa-1481	352	13	λ0	λ0	NOUN
ijassa-1481	352	14	=	=	SYM
ijassa-1481	352	15	(	(	PUNCT
ijassa-1481	352	16	m+	m+	NUM
ijassa-1481	352	17	1)t0	1)t0	NUM
ijassa-1481	352	18	this	this	PRON
ijassa-1481	352	19	means	mean	VERB
ijassa-1481	352	20	that	that	SCONJ
ijassa-1481	352	21	the	the	DET
ijassa-1481	352	22	reliability	reliability	NOUN
ijassa-1481	352	23	of	of	ADP
ijassa-1481	352	24	the	the	DET
ijassa-1481	352	25	facility	facility	NOUN
ijassa-1481	352	26	is	be	AUX
ijassa-1481	352	27	equal	equal	ADJ
ijassa-1481	352	28	to	to	ADP
ijassa-1481	352	29	that	that	PRON
ijassa-1481	352	30	of	of	ADP
ijassa-1481	352	31	a	a	DET
ijassa-1481	352	32	facility	facility	NOUN
ijassa-1481	352	33	with	with	ADP
ijassa-1481	352	34	total	total	ADJ
ijassa-1481	352	35	redundancy	redundancy	NOUN
ijassa-1481	352	36	with	with	ADP
ijassa-1481	352	37	replacement	replacement	NOUN
ijassa-1481	352	38	,	,	PUNCT
ijassa-1481	352	39	but	but	CCONJ
ijassa-1481	352	40	,	,	PUNCT
ijassa-1481	352	41	at	at	ADP
ijassa-1481	352	42	the	the	DET
ijassa-1481	352	43	same	same	ADJ
ijassa-1481	352	44	time	time	NOUN
ijassa-1481	352	45	,	,	PUNCT
ijassa-1481	352	46	it	it	PRON
ijassa-1481	352	47	has	have	VERB
ijassa-1481	352	48	n	n	NUM
ijassa-1481	352	49	times	time	NOUN
ijassa-1481	352	50	fewer	few	ADJ
ijassa-1481	352	51	redundant	redundant	ADJ
ijassa-1481	352	52	elements	element	NOUN
ijassa-1481	352	53	.	.	PUNCT
ijassa-1481	353	1	6	6	X
ijassa-1481	353	2	.	.	X
ijassa-1481	353	3	principles	principle	NOUN
ijassa-1481	353	4	of	of	ADP
ijassa-1481	353	5	building	build	VERB
ijassa-1481	353	6	a	a	DET
ijassa-1481	353	7	fault	fault	NOUN
ijassa-1481	353	8	tolerant	tolerant	ADJ
ijassa-1481	353	9	cloud	cloud	NOUN
ijassa-1481	353	10	system	system	NOUN
ijassa-1481	353	11	when	when	SCONJ
ijassa-1481	353	12	building	build	VERB
ijassa-1481	353	13	cloud	cloud	NOUN
ijassa-1481	353	14	-	-	PUNCT
ijassa-1481	353	15	based	base	VERB
ijassa-1481	353	16	high	high	ADJ
ijassa-1481	353	17	-	-	PUNCT
ijassa-1481	353	18	reliability	reliability	NOUN
ijassa-1481	353	19	systems	system	NOUN
ijassa-1481	353	20	,	,	PUNCT
ijassa-1481	353	21	there	there	PRON
ijassa-1481	353	22	are	be	VERB
ijassa-1481	353	23	two	two	NUM
ijassa-1481	353	24	approaches	approach	NOUN
ijassa-1481	353	25	to	to	PART
ijassa-1481	353	26	improve	improve	VERB
ijassa-1481	353	27	reliability	reliability	NOUN
ijassa-1481	353	28	:	:	PUNCT
ijassa-1481	353	29	preventing	prevent	VERB
ijassa-1481	353	30	failure	failure	NOUN
ijassa-1481	353	31	and	and	CCONJ
ijassa-1481	353	32	creating	create	VERB
ijassa-1481	353	33	fault	fault	NOUN
ijassa-1481	353	34	-	-	PUNCT
ijassa-1481	353	35	tolerant	tolerant	ADJ
ijassa-1481	353	36	and	and	CCONJ
ijassa-1481	353	37	survivable	survivable	ADJ
ijassa-1481	353	38	systems	system	NOUN
ijassa-1481	353	39	[	[	X
ijassa-1481	353	40	16	16	NUM
ijassa-1481	353	41	]	]	PUNCT
ijassa-1481	353	42	.	.	PUNCT
ijassa-1481	354	1	in	in	ADP
ijassa-1481	354	2	the	the	DET
ijassa-1481	354	3	first	first	ADJ
ijassa-1481	354	4	approach	approach	NOUN
ijassa-1481	354	5	,	,	PUNCT
ijassa-1481	354	6	one	one	PRON
ijassa-1481	354	7	tries	try	VERB
ijassa-1481	354	8	to	to	PART
ijassa-1481	354	9	eliminate	eliminate	VERB
ijassa-1481	354	10	all	all	DET
ijassa-1481	354	11	possible	possible	ADJ
ijassa-1481	354	12	sources	source	NOUN
ijassa-1481	354	13	of	of	ADP
ijassa-1481	354	14	failure	failure	NOUN
ijassa-1481	354	15	by	by	ADP
ijassa-1481	354	16	constructing	construct	VERB
ijassa-1481	354	17	a	a	DET
ijassa-1481	354	18	system	system	NOUN
ijassa-1481	354	19	from	from	ADP
ijassa-1481	354	20	highly	highly	ADV
ijassa-1481	354	21	reliable	reliable	ADJ
ijassa-1481	354	22	elements	element	NOUN
ijassa-1481	354	23	.	.	PUNCT
ijassa-1481	355	1	however	however	ADV
ijassa-1481	355	2	,	,	PUNCT
ijassa-1481	355	3	in	in	ADP
ijassa-1481	355	4	this	this	DET
ijassa-1481	355	5	case	case	NOUN
ijassa-1481	355	6	,	,	PUNCT
ijassa-1481	355	7	as	as	SCONJ
ijassa-1481	355	8	the	the	DET
ijassa-1481	355	9	intensity	intensity	NOUN
ijassa-1481	355	10	of	of	ADP
ijassa-1481	355	11	element	element	ADJ
ijassa-1481	355	12	failures	failure	NOUN
ijassa-1481	355	13	approaches	approach	VERB
ijassa-1481	355	14	threshold	threshold	VERB
ijassa-1481	355	15	values	value	NOUN
ijassa-1481	355	16	due	due	ADP
ijassa-1481	355	17	to	to	ADP
ijassa-1481	355	18	physical	physical	ADJ
ijassa-1481	355	19	parameters	parameter	NOUN
ijassa-1481	355	20	or	or	CCONJ
ijassa-1481	355	21	technologies	technology	NOUN
ijassa-1481	355	22	,	,	PUNCT
ijassa-1481	355	23	the	the	DET
ijassa-1481	355	24	cost	cost	NOUN
ijassa-1481	355	25	of	of	ADP
ijassa-1481	355	26	the	the	DET
ijassa-1481	355	27	system	system	NOUN
ijassa-1481	355	28	increases	increase	VERB
ijassa-1481	355	29	dramatically	dramatically	ADV
ijassa-1481	355	30	.	.	PUNCT
ijassa-1481	356	1	in	in	ADP
ijassa-1481	356	2	the	the	DET
ijassa-1481	356	3	second	second	ADJ
ijassa-1481	356	4	approach	approach	NOUN
ijassa-1481	356	5	,	,	PUNCT
ijassa-1481	356	6	the	the	DET
ijassa-1481	356	7	probability	probability	NOUN
ijassa-1481	356	8	of	of	ADP
ijassa-1481	356	9	failure	failure	NOUN
ijassa-1481	356	10	of	of	ADP
ijassa-1481	356	11	cloud	cloud	NOUN
ijassa-1481	356	12	system	system	NOUN
ijassa-1481	356	13	components	component	NOUN
ijassa-1481	356	14	is	be	AUX
ijassa-1481	356	15	not	not	PART
ijassa-1481	356	16	reduced	reduce	VERB
ijassa-1481	356	17	,	,	PUNCT
ijassa-1481	356	18	but	but	CCONJ
ijassa-1481	356	19	the	the	DET
ijassa-1481	356	20	system	system	NOUN
ijassa-1481	356	21	is	be	AUX
ijassa-1481	356	22	subjected	subject	VERB
ijassa-1481	356	23	to	to	ADP
ijassa-1481	356	24	additional	additional	ADJ
ijassa-1481	356	25	requirements	requirement	NOUN
ijassa-1481	356	26	:	:	PUNCT
ijassa-1481	356	27	it	it	PRON
ijassa-1481	356	28	must	must	AUX
ijassa-1481	356	29	be	be	AUX
ijassa-1481	356	30	error	error	NOUN
ijassa-1481	356	31	free	free	ADJ
ijassa-1481	356	32	when	when	SCONJ
ijassa-1481	356	33	individual	individual	ADJ
ijassa-1481	356	34	parts	part	NOUN
ijassa-1481	356	35	or	or	CCONJ
ijassa-1481	356	36	storages	storage	NOUN
ijassa-1481	356	37	fail	fail	VERB
ijassa-1481	356	38	.	.	PUNCT
ijassa-1481	357	1	these	these	DET
ijassa-1481	357	2	additional	additional	ADJ
ijassa-1481	357	3	requirements	requirement	NOUN
ijassa-1481	357	4	and	and	CCONJ
ijassa-1481	357	5	hence	hence	ADV
ijassa-1481	357	6	fault	fault	VERB
ijassa-1481	357	7	tolerant	tolerant	ADJ
ijassa-1481	357	8	operation	operation	NOUN
ijassa-1481	357	9	of	of	ADP
ijassa-1481	357	10	the	the	DET
ijassa-1481	357	11	system	system	NOUN
ijassa-1481	357	12	is	be	AUX
ijassa-1481	357	13	ensured	ensure	VERB
ijassa-1481	357	14	by	by	ADP
ijassa-1481	357	15	applying	apply	VERB
ijassa-1481	357	16	different	different	ADJ
ijassa-1481	357	17	approaches	approach	NOUN
ijassa-1481	357	18	:	:	PUNCT
ijassa-1481	357	19	•	•	NUM
ijassa-1481	357	20	distributing	distribute	VERB
ijassa-1481	357	21	load	load	NOUN
ijassa-1481	357	22	and	and	CCONJ
ijassa-1481	357	23	data	datum	NOUN
ijassa-1481	357	24	across	across	ADP
ijassa-1481	357	25	multiple	multiple	ADJ
ijassa-1481	357	26	nodes	node	NOUN
ijassa-1481	357	27	so	so	SCONJ
ijassa-1481	357	28	that	that	SCONJ
ijassa-1481	357	29	if	if	SCONJ
ijassa-1481	357	30	one	one	NUM
ijassa-1481	357	31	node	node	NOUN
ijassa-1481	357	32	fails	fail	VERB
ijassa-1481	357	33	,	,	PUNCT
ijassa-1481	357	34	the	the	DET
ijassa-1481	357	35	others	other	NOUN
ijassa-1481	357	36	can	can	AUX
ijassa-1481	357	37	continue	continue	VERB
ijassa-1481	357	38	to	to	PART
ijassa-1481	357	39	operate	operate	VERB
ijassa-1481	357	40	without	without	ADP
ijassa-1481	357	41	downtime	downtime	NOUN
ijassa-1481	357	42	;	;	PUNCT
ijassa-1481	357	43	copyright	copyright	NOUN
ijassa-1481	357	44	©	©	PROPN
ijassa-1481	357	45	2024	2024	NUM
ijassa-1481	357	46	assa	assa	NOUN
ijassa-1481	357	47	.	.	PUNCT
ijassa-1481	358	1	adv	adv	PROPN
ijassa-1481	358	2	syst	syst	PROPN
ijassa-1481	358	3	sci	sci	PROPN
ijassa-1481	358	4	appl	appl	PROPN
ijassa-1481	358	5	(	(	PUNCT
ijassa-1481	358	6	2024	2024	NUM
ijassa-1481	358	7	)	)	PUNCT
ijassa-1481	358	8	data	datum	NOUN
ijassa-1481	358	9	storage	storage	NOUN
ijassa-1481	358	10	with	with	ADP
ijassa-1481	358	11	increased	increase	VERB
ijassa-1481	358	12	survivability	survivability	NOUN
ijassa-1481	358	13	and	and	CCONJ
ijassa-1481	358	14	reliability	reliability	NOUN
ijassa-1481	358	15	...	...	PUNCT
ijassa-1481	358	16	179	179	NUM
ijassa-1481	358	17	•	•	NOUN
ijassa-1481	358	18	backup	backup	NOUN
ijassa-1481	358	19	data	datum	NOUN
ijassa-1481	358	20	and	and	CCONJ
ijassa-1481	358	21	distribute	distribute	VERB
ijassa-1481	358	22	it	it	PRON
ijassa-1481	358	23	across	across	ADP
ijassa-1481	358	24	multiple	multiple	ADJ
ijassa-1481	358	25	nodes	node	NOUN
ijassa-1481	358	26	so	so	SCONJ
ijassa-1481	358	27	that	that	SCONJ
ijassa-1481	358	28	if	if	SCONJ
ijassa-1481	358	29	one	one	NUM
ijassa-1481	358	30	node	node	NOUN
ijassa-1481	358	31	fails	fail	VERB
ijassa-1481	358	32	,	,	PUNCT
ijassa-1481	358	33	the	the	DET
ijassa-1481	358	34	data	datum	NOUN
ijassa-1481	358	35	can	can	AUX
ijassa-1481	358	36	be	be	AUX
ijassa-1481	358	37	quickly	quickly	ADV
ijassa-1481	358	38	restored	restore	VERB
ijassa-1481	358	39	to	to	ADP
ijassa-1481	358	40	other	other	ADJ
ijassa-1481	358	41	nodes	node	NOUN
ijassa-1481	358	42	;	;	PUNCT
ijassa-1481	358	43	•	•	NUM
ijassa-1481	358	44	use	use	NOUN
ijassa-1481	358	45	of	of	ADP
ijassa-1481	358	46	geographically	geographically	ADV
ijassa-1481	358	47	distributed	distribute	VERB
ijassa-1481	358	48	data	datum	NOUN
ijassa-1481	358	49	centers	center	NOUN
ijassa-1481	358	50	,	,	PUNCT
ijassa-1481	358	51	to	to	PART
ijassa-1481	358	52	reduce	reduce	VERB
ijassa-1481	358	53	the	the	DET
ijassa-1481	358	54	risks	risk	NOUN
ijassa-1481	358	55	associated	associate	VERB
ijassa-1481	358	56	with	with	ADP
ijassa-1481	358	57	natural	natural	ADJ
ijassa-1481	358	58	or	or	CCONJ
ijassa-1481	358	59	man	man	NOUN
ijassa-1481	358	60	-	-	PUNCT
ijassa-1481	358	61	made	make	VERB
ijassa-1481	358	62	disasters	disaster	NOUN
ijassa-1481	358	63	in	in	ADP
ijassa-1481	358	64	one	one	NUM
ijassa-1481	358	65	region	region	NOUN
ijassa-1481	358	66	;	;	PUNCT
ijassa-1481	358	67	•	•	NUM
ijassa-1481	358	68	use	use	NOUN
ijassa-1481	358	69	of	of	ADP
ijassa-1481	358	70	modern	modern	ADJ
ijassa-1481	358	71	virtualization	virtualization	NOUN
ijassa-1481	358	72	and	and	CCONJ
ijassa-1481	358	73	containerization	containerization	NOUN
ijassa-1481	358	74	technologies	technology	NOUN
ijassa-1481	358	75	,	,	PUNCT
ijassa-1481	358	76	which	which	PRON
ijassa-1481	358	77	allow	allow	VERB
ijassa-1481	358	78	to	to	PART
ijassa-1481	358	79	increase	increase	VERB
ijassa-1481	358	80	flexibility	flexibility	NOUN
ijassa-1481	358	81	and	and	CCONJ
ijassa-1481	358	82	scalability	scalability	NOUN
ijassa-1481	358	83	of	of	ADP
ijassa-1481	358	84	the	the	DET
ijassa-1481	358	85	system	system	NOUN
ijassa-1481	358	86	,	,	PUNCT
ijassa-1481	358	87	as	as	ADV
ijassa-1481	358	88	well	well	ADV
ijassa-1481	358	89	as	as	ADP
ijassa-1481	358	90	to	to	PART
ijassa-1481	358	91	quickly	quickly	ADV
ijassa-1481	358	92	transfer	transfer	VERB
ijassa-1481	358	93	work	work	NOUN
ijassa-1481	358	94	from	from	ADP
ijassa-1481	358	95	one	one	NUM
ijassa-1481	358	96	node	node	NOUN
ijassa-1481	358	97	to	to	ADP
ijassa-1481	358	98	another	another	PRON
ijassa-1481	358	99	;	;	PUNCT
ijassa-1481	358	100	•	•	ADP
ijassa-1481	358	101	ensuring	ensure	VERB
ijassa-1481	358	102	the	the	DET
ijassa-1481	358	103	security	security	NOUN
ijassa-1481	358	104	of	of	ADP
ijassa-1481	358	105	stored	store	VERB
ijassa-1481	358	106	or	or	CCONJ
ijassa-1481	358	107	processed	process	VERB
ijassa-1481	358	108	data	datum	NOUN
ijassa-1481	358	109	and	and	CCONJ
ijassa-1481	358	110	the	the	DET
ijassa-1481	358	111	system	system	NOUN
ijassa-1481	358	112	as	as	ADP
ijassa-1481	358	113	a	a	DET
ijassa-1481	358	114	whole	whole	NOUN
ijassa-1481	358	115	by	by	ADP
ijassa-1481	358	116	means	mean	NOUN
ijassa-1481	358	117	of	of	ADP
ijassa-1481	358	118	multi	multi	ADJ
ijassa-1481	358	119	-	-	ADJ
ijassa-1481	358	120	level	level	ADJ
ijassa-1481	358	121	protection	protection	NOUN
ijassa-1481	358	122	,	,	PUNCT
ijassa-1481	358	123	encryption	encryption	NOUN
ijassa-1481	358	124	,	,	PUNCT
ijassa-1481	358	125	authentication	authentication	NOUN
ijassa-1481	358	126	and	and	CCONJ
ijassa-1481	358	127	user	user	NOUN
ijassa-1481	358	128	authorization	authorization	NOUN
ijassa-1481	358	129	;	;	PUNCT
ijassa-1481	358	130	•	•	NUM
ijassa-1481	358	131	continuous	continuous	ADJ
ijassa-1481	358	132	testing	testing	NOUN
ijassa-1481	358	133	and	and	CCONJ
ijassa-1481	358	134	analysis	analysis	NOUN
ijassa-1481	358	135	of	of	ADP
ijassa-1481	358	136	system	system	NOUN
ijassa-1481	358	137	operation	operation	NOUN
ijassa-1481	358	138	to	to	PART
ijassa-1481	358	139	identify	identify	VERB
ijassa-1481	358	140	bottlenecks	bottleneck	NOUN
ijassa-1481	358	141	,	,	PUNCT
ijassa-1481	358	142	optimize	optimize	VERB
ijassa-1481	358	143	performance	performance	NOUN
ijassa-1481	358	144	and	and	CCONJ
ijassa-1481	358	145	improve	improve	VERB
ijassa-1481	358	146	reliability	reliability	NOUN
ijassa-1481	358	147	;	;	PUNCT
ijassa-1481	358	148	•	•	NUM
ijassa-1481	358	149	fault	fault	NOUN
ijassa-1481	358	150	tolerance	tolerance	NOUN
ijassa-1481	358	151	systems	system	NOUN
ijassa-1481	358	152	can	can	AUX
ijassa-1481	358	153	be	be	AUX
ijassa-1481	358	154	categorized	categorize	VERB
ijassa-1481	358	155	into	into	ADP
ijassa-1481	358	156	four	four	NUM
ijassa-1481	358	157	types	type	NOUN
ijassa-1481	358	158	;	;	PUNCT
ijassa-1481	358	159	•	•	NUM
ijassa-1481	358	160	systems	system	NOUN
ijassa-1481	358	161	with	with	ADP
ijassa-1481	358	162	multiple	multiple	ADJ
ijassa-1481	358	163	redundancy	redundancy	NOUN
ijassa-1481	358	164	,	,	PUNCT
ijassa-1481	358	165	having	have	VERB
ijassa-1481	358	166	n	n	NUM
ijassa-1481	358	167	identical	identical	ADJ
ijassa-1481	358	168	modules	module	NOUN
ijassa-1481	358	169	and	and	CCONJ
ijassa-1481	358	170	determining	determine	VERB
ijassa-1481	358	171	the	the	DET
ijassa-1481	358	172	solution	solution	NOUN
ijassa-1481	358	173	result	result	NOUN
ijassa-1481	358	174	on	on	ADP
ijassa-1481	358	175	the	the	DET
ijassa-1481	358	176	basis	basis	NOUN
ijassa-1481	358	177	of	of	ADP
ijassa-1481	358	178	majorization	majorization	NOUN
ijassa-1481	358	179	;	;	PUNCT
ijassa-1481	358	180	•	•	NUM
ijassa-1481	358	181	systems	system	NOUN
ijassa-1481	358	182	with	with	ADP
ijassa-1481	358	183	structural	structural	ADJ
ijassa-1481	358	184	redundancy	redundancy	NOUN
ijassa-1481	358	185	,	,	PUNCT
ijassa-1481	358	186	in	in	ADP
ijassa-1481	358	187	which	which	DET
ijassa-1481	358	188	part	part	NOUN
ijassa-1481	358	189	of	of	ADP
ijassa-1481	358	190	the	the	DET
ijassa-1481	358	191	modules	module	NOUN
ijassa-1481	358	192	are	be	AUX
ijassa-1481	358	193	used	use	VERB
ijassa-1481	358	194	for	for	ADP
ijassa-1481	358	195	the	the	DET
ijassa-1481	358	196	solution	solution	NOUN
ijassa-1481	358	197	,	,	PUNCT
ijassa-1481	358	198	the	the	DET
ijassa-1481	358	199	remaining	remain	VERB
ijassa-1481	358	200	modules	module	NOUN
ijassa-1481	358	201	are	be	AUX
ijassa-1481	358	202	in	in	ADP
ijassa-1481	358	203	reserve	reserve	NOUN
ijassa-1481	358	204	and	and	CCONJ
ijassa-1481	358	205	are	be	AUX
ijassa-1481	358	206	activated	activate	VERB
ijassa-1481	358	207	as	as	SCONJ
ijassa-1481	358	208	active	active	ADJ
ijassa-1481	358	209	modules	module	NOUN
ijassa-1481	358	210	fail	fail	VERB
ijassa-1481	358	211	;	;	PUNCT
ijassa-1481	358	212	•	•	NUM
ijassa-1481	358	213	hybrid	hybrid	ADJ
ijassa-1481	358	214	redundant	redundant	ADJ
ijassa-1481	358	215	systems	system	NOUN
ijassa-1481	358	216	consisting	consist	VERB
ijassa-1481	358	217	of	of	ADP
ijassa-1481	358	218	multiple	multiple	ADJ
ijassa-1481	358	219	redundant	redundant	ADJ
ijassa-1481	358	220	modules	module	NOUN
ijassa-1481	358	221	for	for	ADP
ijassa-1481	358	222	failure	failure	NOUN
ijassa-1481	358	223	replacement	replacement	NOUN
ijassa-1481	358	224	;	;	PUNCT
ijassa-1481	358	225	•	•	NUM
ijassa-1481	358	226	systems	system	NOUN
ijassa-1481	358	227	with	with	ADP
ijassa-1481	358	228	gradual	gradual	ADJ
ijassa-1481	358	229	degradation	degradation	NOUN
ijassa-1481	358	230	(	(	PUNCT
ijassa-1481	358	231	survivable	survivable	ADJ
ijassa-1481	358	232	)	)	PUNCT
ijassa-1481	358	233	,	,	PUNCT
ijassa-1481	358	234	in	in	ADP
ijassa-1481	358	235	which	which	PRON
ijassa-1481	358	236	all	all	DET
ijassa-1481	358	237	serviceable	serviceable	ADJ
ijassa-1481	358	238	modules	module	NOUN
ijassa-1481	358	239	are	be	AUX
ijassa-1481	358	240	used	use	VERB
ijassa-1481	358	241	to	to	PART
ijassa-1481	358	242	perform	perform	VERB
ijassa-1481	358	243	the	the	DET
ijassa-1481	358	244	assigned	assign	VERB
ijassa-1481	358	245	task	task	NOUN
ijassa-1481	358	246	,	,	PUNCT
ijassa-1481	358	247	i.e.	i.e.	X
ijassa-1481	358	248	,	,	PUNCT
ijassa-1481	358	249	all	all	DET
ijassa-1481	358	250	modules	module	NOUN
ijassa-1481	358	251	are	be	AUX
ijassa-1481	358	252	active	active	ADJ
ijassa-1481	358	253	and	and	CCONJ
ijassa-1481	358	254	in	in	ADP
ijassa-1481	358	255	case	case	NOUN
ijassa-1481	358	256	of	of	ADP
ijassa-1481	358	257	failure	failure	NOUN
ijassa-1481	358	258	the	the	DET
ijassa-1481	358	259	system	system	NOUN
ijassa-1481	358	260	is	be	AUX
ijassa-1481	358	261	reconfigured	reconfigure	VERB
ijassa-1481	358	262	and	and	CCONJ
ijassa-1481	358	263	the	the	DET
ijassa-1481	358	264	task	task	NOUN
ijassa-1481	358	265	is	be	AUX
ijassa-1481	358	266	continued	continue	VERB
ijassa-1481	358	267	.	.	PUNCT
ijassa-1481	359	1	the	the	DET
ijassa-1481	359	2	performance	performance	NOUN
ijassa-1481	359	3	of	of	ADP
ijassa-1481	359	4	the	the	DET
ijassa-1481	359	5	first	first	ADJ
ijassa-1481	359	6	three	three	NUM
ijassa-1481	359	7	types	type	NOUN
ijassa-1481	359	8	of	of	ADP
ijassa-1481	359	9	systems	system	NOUN
ijassa-1481	359	10	does	do	AUX
ijassa-1481	359	11	not	not	PART
ijassa-1481	359	12	change	change	VERB
ijassa-1481	359	13	as	as	SCONJ
ijassa-1481	359	14	individual	individual	ADJ
ijassa-1481	359	15	modules	module	NOUN
ijassa-1481	359	16	fail	fail	VERB
ijassa-1481	359	17	.	.	PUNCT
ijassa-1481	360	1	in	in	ADP
ijassa-1481	360	2	the	the	DET
ijassa-1481	360	3	fourth	fourth	ADJ
ijassa-1481	360	4	type	type	NOUN
ijassa-1481	360	5	of	of	ADP
ijassa-1481	360	6	system	system	NOUN
ijassa-1481	360	7	the	the	DET
ijassa-1481	360	8	performance	performance	NOUN
ijassa-1481	360	9	decreases	decrease	VERB
ijassa-1481	360	10	as	as	SCONJ
ijassa-1481	360	11	degradation	degradation	NOUN
ijassa-1481	360	12	(	(	PUNCT
ijassa-1481	360	13	failure	failure	NOUN
ijassa-1481	360	14	of	of	ADP
ijassa-1481	360	15	modules	module	NOUN
ijassa-1481	360	16	)	)	PUNCT
ijassa-1481	360	17	occurs	occur	VERB
ijassa-1481	360	18	[	[	X
ijassa-1481	360	19	17	17	NUM
ijassa-1481	360	20	,	,	PUNCT
ijassa-1481	360	21	18	18	NUM
ijassa-1481	360	22	]	]	PUNCT
ijassa-1481	360	23	.	.	PUNCT
ijassa-1481	361	1	the	the	DET
ijassa-1481	361	2	generalized	generalized	ADJ
ijassa-1481	361	3	algorithm	algorithm	NOUN
ijassa-1481	361	4	of	of	ADP
ijassa-1481	361	5	functioning	function	VERB
ijassa-1481	361	6	of	of	ADP
ijassa-1481	361	7	any	any	DET
ijassa-1481	361	8	fault	fault	NOUN
ijassa-1481	361	9	-	-	PUNCT
ijassa-1481	361	10	tolerant	tolerant	ADJ
ijassa-1481	361	11	system	system	NOUN
ijassa-1481	361	12	is	be	AUX
ijassa-1481	361	13	reduced	reduce	VERB
ijassa-1481	361	14	to	to	ADP
ijassa-1481	361	15	the	the	DET
ijassa-1481	361	16	following	follow	VERB
ijassa-1481	361	17	standard	standard	ADJ
ijassa-1481	361	18	procedures	procedure	NOUN
ijassa-1481	361	19	:	:	PUNCT
ijassa-1481	361	20	detecting	detect	VERB
ijassa-1481	361	21	a	a	DET
ijassa-1481	361	22	failure	failure	NOUN
ijassa-1481	361	23	in	in	ADP
ijassa-1481	361	24	the	the	DET
ijassa-1481	361	25	system	system	NOUN
ijassa-1481	361	26	,	,	PUNCT
ijassa-1481	361	27	diagnosing	diagnose	VERB
ijassa-1481	361	28	the	the	DET
ijassa-1481	361	29	failed	fail	VERB
ijassa-1481	361	30	module	module	NOUN
ijassa-1481	361	31	,	,	PUNCT
ijassa-1481	361	32	eliminating	eliminate	VERB
ijassa-1481	361	33	the	the	DET
ijassa-1481	361	34	influence	influence	NOUN
ijassa-1481	361	35	of	of	ADP
ijassa-1481	361	36	the	the	DET
ijassa-1481	361	37	failed	fail	VERB
ijassa-1481	361	38	device	device	NOUN
ijassa-1481	361	39	,	,	PUNCT
ijassa-1481	361	40	reconfiguring	reconfigure	VERB
ijassa-1481	361	41	the	the	DET
ijassa-1481	361	42	system	system	NOUN
ijassa-1481	361	43	.	.	PUNCT
ijassa-1481	362	1	systems	system	NOUN
ijassa-1481	362	2	with	with	ADP
ijassa-1481	362	3	constant	constant	ADJ
ijassa-1481	362	4	performance	performance	NOUN
ijassa-1481	362	5	are	be	AUX
ijassa-1481	362	6	described	describe	VERB
ijassa-1481	362	7	by	by	ADP
ijassa-1481	362	8	the	the	DET
ijassa-1481	362	9	following	following	ADJ
ijassa-1481	362	10	characteristics	characteristic	NOUN
ijassa-1481	362	11	:	:	PUNCT
ijassa-1481	362	12	time	time	NOUN
ijassa-1481	362	13	to	to	PART
ijassa-1481	362	14	system	system	VERB
ijassa-1481	362	15	failure	failure	NOUN
ijassa-1481	362	16	tc	tc	NOUN
ijassa-1481	362	17	,	,	PUNCT
ijassa-1481	362	18	system	system	NOUN
ijassa-1481	362	19	reliability	reliability	NOUN
ijassa-1481	362	20	r(t	r(t	NOUN
ijassa-1481	362	21	)	)	PUNCT
ijassa-1481	363	1	=	=	SYM
ijassa-1481	364	1	pc[tc	pc[tc	NOUN
ijassa-1481	364	2	≥	≥	NOUN
ijassa-1481	364	3	t	t	X
ijassa-1481	364	4	]	]	PUNCT
ijassa-1481	364	5	and	and	CCONJ
ijassa-1481	364	6	mtbf	mtbf	NOUN
ijassa-1481	364	7	defined	define	VERB
ijassa-1481	364	8	as	as	ADP
ijassa-1481	364	9	the	the	DET
ijassa-1481	364	10	mathematical	mathematical	ADJ
ijassa-1481	364	11	expectation	expectation	NOUN
ijassa-1481	364	12	of	of	ADP
ijassa-1481	364	13	tc	tc	NOUN
ijassa-1481	364	14	.	.	PUNCT
ijassa-1481	365	1	in	in	ADP
ijassa-1481	365	2	degraded	degraded	ADJ
ijassa-1481	365	3	systems	system	NOUN
ijassa-1481	365	4	,	,	PUNCT
ijassa-1481	365	5	performance	performance	NOUN
ijassa-1481	365	6	degrades	degrade	VERB
ijassa-1481	365	7	over	over	ADP
ijassa-1481	365	8	time	time	NOUN
ijassa-1481	365	9	,	,	PUNCT
ijassa-1481	365	10	so	so	SCONJ
ijassa-1481	365	11	characteristics	characteristic	NOUN
ijassa-1481	365	12	linking	link	VERB
ijassa-1481	365	13	performance	performance	NOUN
ijassa-1481	365	14	to	to	ADP
ijassa-1481	365	15	reliability	reliability	NOUN
ijassa-1481	365	16	characteristics	characteristic	NOUN
ijassa-1481	365	17	are	be	AUX
ijassa-1481	365	18	introduced	introduce	VERB
ijassa-1481	365	19	.	.	PUNCT
ijassa-1481	366	1	•	•	NUM
ijassa-1481	366	2	reliability	reliability	NOUN
ijassa-1481	366	3	of	of	ADP
ijassa-1481	366	4	operation	operation	NOUN
ijassa-1481	366	5	[	[	X
ijassa-1481	366	6	r∗(t	r∗(t	NOUN
ijassa-1481	366	7	,	,	PUNCT
ijassa-1481	366	8	t	t	NOUN
ijassa-1481	366	9	)	)	PUNCT
ijassa-1481	366	10	]	]	PUNCT
ijassa-1481	366	11	–	–	PUNCT
ijassa-1481	366	12	the	the	DET
ijassa-1481	366	13	probability	probability	NOUN
ijassa-1481	366	14	that	that	SCONJ
ijassa-1481	366	15	the	the	DET
ijassa-1481	366	16	system	system	NOUN
ijassa-1481	366	17	will	will	AUX
ijassa-1481	366	18	correctly	correctly	ADV
ijassa-1481	366	19	perform	perform	VERB
ijassa-1481	366	20	the	the	DET
ijassa-1481	366	21	assigned	assign	VERB
ijassa-1481	366	22	task	task	NOUN
ijassa-1481	366	23	in	in	ADP
ijassa-1481	366	24	time	time	NOUN
ijassa-1481	366	25	t	t	NOUN
ijassa-1481	366	26	;	;	PUNCT
ijassa-1481	366	27	•	•	NUM
ijassa-1481	366	28	average	average	ADJ
ijassa-1481	366	29	number	number	NOUN
ijassa-1481	366	30	of	of	ADP
ijassa-1481	366	31	calculations	calculation	NOUN
ijassa-1481	366	32	between	between	ADP
ijassa-1481	366	33	failures	failure	NOUN
ijassa-1481	366	34	nav	nav	VERB
ijassa-1481	366	35	;	;	PUNCT
ijassa-1481	366	36	•	•	NUM
ijassa-1481	366	37	tτ	tτ	INTJ
ijassa-1481	366	38	,	,	PUNCT
ijassa-1481	366	39	i.e.	i.e.	X
ijassa-1481	366	40	,	,	PUNCT
ijassa-1481	366	41	the	the	DET
ijassa-1481	366	42	duration	duration	NOUN
ijassa-1481	366	43	of	of	ADP
ijassa-1481	366	44	the	the	DET
ijassa-1481	366	45	interval	interval	NOUN
ijassa-1481	366	46	at	at	ADP
ijassa-1481	366	47	which	which	PRON
ijassa-1481	366	48	the	the	DET
ijassa-1481	366	49	reliability	reliability	NOUN
ijassa-1481	366	50	of	of	ADP
ijassa-1481	366	51	operation	operation	NOUN
ijassa-1481	366	52	for	for	ADP
ijassa-1481	366	53	a	a	DET
ijassa-1481	366	54	task	task	NOUN
ijassa-1481	366	55	with	with	ADP
ijassa-1481	366	56	operation	operation	NOUN
ijassa-1481	366	57	time	time	NOUN
ijassa-1481	366	58	t	t	PROPN
ijassa-1481	366	59	reaches	reach	VERB
ijassa-1481	366	60	a	a	DET
ijassa-1481	366	61	given	give	VERB
ijassa-1481	366	62	value	value	NOUN
ijassa-1481	366	63	;	;	PUNCT
ijassa-1481	366	64	•	•	NUM
ijassa-1481	366	65	computation	computation	NOUN
ijassa-1481	366	66	availability	availability	NOUN
ijassa-1481	366	67	factor	factor	NOUN
ijassa-1481	366	68	[	[	X
ijassa-1481	366	69	dc(t	dc(t	NOUN
ijassa-1481	366	70	)	)	PUNCT
ijassa-1481	366	71	]	]	PUNCT
ijassa-1481	367	1	i.e.	i.e.	X
ijassa-1481	367	2	,	,	PUNCT
ijassa-1481	367	3	the	the	DET
ijassa-1481	367	4	average	average	ADJ
ijassa-1481	367	5	value	value	NOUN
ijassa-1481	367	6	of	of	ADP
ijassa-1481	367	7	system	system	NOUN
ijassa-1481	367	8	performance	performance	NOUN
ijassa-1481	367	9	at	at	ADP
ijassa-1481	367	10	time	time	NOUN
ijassa-1481	367	11	t	t	PROPN
ijassa-1481	367	12	;	;	PUNCT
ijassa-1481	367	13	•	•	NUM
ijassa-1481	367	14	performance	performance	NOUN
ijassa-1481	367	15	threshold	threshold	NOUN
ijassa-1481	367	16	(	(	PUNCT
ijassa-1481	367	17	tc	tc	NOUN
ijassa-1481	367	18	)	)	PUNCT
ijassa-1481	367	19	,	,	PUNCT
ijassa-1481	367	20	i.e.	i.e.	X
ijassa-1481	367	21	,	,	PUNCT
ijassa-1481	367	22	the	the	DET
ijassa-1481	367	23	time	time	NOUN
ijassa-1481	367	24	interval	interval	NOUN
ijassa-1481	367	25	at	at	ADP
ijassa-1481	367	26	which	which	PRON
ijassa-1481	367	27	the	the	DET
ijassa-1481	367	28	value	value	NOUN
ijassa-1481	367	29	dc(t	dc(t	NOUN
ijassa-1481	367	30	)	)	PUNCT
ijassa-1481	367	31	reaches	reach	VERB
ijassa-1481	367	32	a	a	DET
ijassa-1481	367	33	given	give	VERB
ijassa-1481	367	34	value	value	NOUN
ijassa-1481	367	35	.	.	PUNCT
ijassa-1481	368	1	7	7	X
ijassa-1481	368	2	.	.	X
ijassa-1481	368	3	structure	structure	NOUN
ijassa-1481	368	4	of	of	ADP
ijassa-1481	368	5	fault	fault	VERB
ijassa-1481	368	6	tolerant	tolerant	ADJ
ijassa-1481	368	7	data	datum	NOUN
ijassa-1481	368	8	storage	storage	NOUN
ijassa-1481	368	9	and	and	CCONJ
ijassa-1481	368	10	processing	processing	NOUN
ijassa-1481	368	11	system	system	NOUN
ijassa-1481	368	12	in	in	ADP
ijassa-1481	368	13	cloud	cloud	PROPN
ijassa-1481	368	14	fog	fog	PROPN
ijassa-1481	368	15	environment	environment	NOUN
ijassa-1481	368	16	typically	typically	ADV
ijassa-1481	368	17	,	,	PUNCT
ijassa-1481	368	18	a	a	DET
ijassa-1481	368	19	fault	fault	NOUN
ijassa-1481	368	20	-	-	PUNCT
ijassa-1481	368	21	tolerant	tolerant	ADJ
ijassa-1481	368	22	storage	storage	NOUN
ijassa-1481	368	23	system	system	NOUN
ijassa-1481	368	24	in	in	ADP
ijassa-1481	368	25	a	a	DET
ijassa-1481	368	26	cloud	cloud	ADJ
ijassa-1481	368	27	environment	environment	NOUN
ijassa-1481	368	28	is	be	AUX
ijassa-1481	368	29	constructed	construct	VERB
ijassa-1481	368	30	with	with	ADP
ijassa-1481	368	31	multiple	multiple	ADJ
ijassa-1481	368	32	tiers	tier	NOUN
ijassa-1481	368	33	,	,	PUNCT
ijassa-1481	368	34	each	each	DET
ijassa-1481	368	35	assigned	assign	VERB
ijassa-1481	368	36	distinct	distinct	ADJ
ijassa-1481	368	37	functions	function	NOUN
ijassa-1481	368	38	aimed	aim	VERB
ijassa-1481	368	39	at	at	ADP
ijassa-1481	368	40	ensuring	ensure	VERB
ijassa-1481	368	41	data	datum	NOUN
ijassa-1481	368	42	reliability	reliability	NOUN
ijassa-1481	368	43	and	and	CCONJ
ijassa-1481	368	44	accessibility	accessibility	NOUN
ijassa-1481	368	45	[	[	X
ijassa-1481	368	46	18–20	18–20	NUM
ijassa-1481	368	47	]	]	PUNCT
ijassa-1481	368	48	.	.	PUNCT
ijassa-1481	369	1	the	the	DET
ijassa-1481	369	2	physical	physical	ADJ
ijassa-1481	369	3	infrastructure	infrastructure	NOUN
ijassa-1481	369	4	layer	layer	NOUN
ijassa-1481	369	5	is	be	AUX
ijassa-1481	369	6	the	the	DET
ijassa-1481	369	7	first	first	ADJ
ijassa-1481	369	8	layer	layer	NOUN
ijassa-1481	369	9	in	in	ADP
ijassa-1481	369	10	the	the	DET
ijassa-1481	369	11	structure	structure	NOUN
ijassa-1481	369	12	of	of	ADP
ijassa-1481	369	13	a	a	DET
ijassa-1481	369	14	resilient	resilient	ADJ
ijassa-1481	369	15	cloud	cloud	NOUN
ijassa-1481	369	16	storage	storage	NOUN
ijassa-1481	369	17	system	system	NOUN
ijassa-1481	369	18	.	.	PUNCT
ijassa-1481	370	1	it	it	PRON
ijassa-1481	370	2	includes	include	VERB
ijassa-1481	370	3	physical	physical	ADJ
ijassa-1481	370	4	servers	server	NOUN
ijassa-1481	370	5	,	,	PUNCT
ijassa-1481	370	6	storage	storage	NOUN
ijassa-1481	370	7	,	,	PUNCT
ijassa-1481	370	8	networking	network	VERB
ijassa-1481	370	9	equipment	equipment	NOUN
ijassa-1481	370	10	,	,	PUNCT
ijassa-1481	370	11	and	and	CCONJ
ijassa-1481	370	12	other	other	ADJ
ijassa-1481	370	13	components	component	NOUN
ijassa-1481	370	14	that	that	PRON
ijassa-1481	370	15	provide	provide	VERB
ijassa-1481	370	16	data	data	NOUN
ijassa-1481	370	17	storage	storage	NOUN
ijassa-1481	370	18	and	and	CCONJ
ijassa-1481	370	19	availability	availability	NOUN
ijassa-1481	370	20	.	.	PUNCT
ijassa-1481	371	1	copyright	copyright	NOUN
ijassa-1481	371	2	©	©	PROPN
ijassa-1481	371	3	2024	2024	NUM
ijassa-1481	371	4	assa	assa	NOUN
ijassa-1481	371	5	.	.	PUNCT
ijassa-1481	372	1	adv	adv	PROPN
ijassa-1481	372	2	syst	syst	PROPN
ijassa-1481	372	3	sci	sci	PROPN
ijassa-1481	372	4	appl	appl	PROPN
ijassa-1481	372	5	(	(	PUNCT
ijassa-1481	372	6	2024	2024	NUM
ijassa-1481	372	7	)	)	PUNCT
ijassa-1481	372	8	180	180	NUM
ijassa-1481	372	9	n.	n.	NOUN
ijassa-1481	372	10	kucherov	kucherov	PROPN
ijassa-1481	372	11	,	,	PUNCT
ijassa-1481	372	12	m.	m.	NOUN
ijassa-1481	372	13	babenko	babenko	PROPN
ijassa-1481	372	14	,	,	PUNCT
ijassa-1481	372	15	e.	e.	PROPN
ijassa-1481	372	16	shiriaev	shiriaev	PROPN
ijassa-1481	372	17	,	,	PUNCT
ijassa-1481	372	18	n.v	n.v	PROPN
ijassa-1481	372	19	.	.	PROPN
ijassa-1481	372	20	hung	hang	VERB
ijassa-1481	372	21	to	to	PART
ijassa-1481	372	22	provide	provide	VERB
ijassa-1481	372	23	fault	fault	NOUN
ijassa-1481	372	24	tolerance	tolerance	NOUN
ijassa-1481	372	25	at	at	ADP
ijassa-1481	372	26	this	this	DET
ijassa-1481	372	27	level	level	NOUN
ijassa-1481	372	28	,	,	PUNCT
ijassa-1481	372	29	various	various	ADJ
ijassa-1481	372	30	technologies	technology	NOUN
ijassa-1481	372	31	such	such	ADJ
ijassa-1481	372	32	as	as	ADP
ijassa-1481	372	33	server	server	NOUN
ijassa-1481	372	34	clustering	clustering	NOUN
ijassa-1481	372	35	,	,	PUNCT
ijassa-1481	372	36	data	data	NOUN
ijassa-1481	372	37	replication	replication	NOUN
ijassa-1481	372	38	,	,	PUNCT
ijassa-1481	372	39	load	load	NOUN
ijassa-1481	372	40	balancing	balance	VERB
ijassa-1481	372	41	mechanisms	mechanism	NOUN
ijassa-1481	372	42	,	,	PUNCT
ijassa-1481	372	43	etc	etc	X
ijassa-1481	372	44	.	.	X
ijassa-1481	372	45	are	be	AUX
ijassa-1481	372	46	used	use	VERB
ijassa-1481	372	47	.	.	PUNCT
ijassa-1481	373	1	for	for	ADP
ijassa-1481	373	2	example	example	NOUN
ijassa-1481	373	3	,	,	PUNCT
ijassa-1481	373	4	server	server	NOUN
ijassa-1481	373	5	clustering	clustering	NOUN
ijassa-1481	373	6	allows	allow	VERB
ijassa-1481	373	7	you	you	PRON
ijassa-1481	373	8	to	to	PART
ijassa-1481	373	9	combine	combine	VERB
ijassa-1481	373	10	several	several	ADJ
ijassa-1481	373	11	physical	physical	ADJ
ijassa-1481	373	12	servers	server	NOUN
ijassa-1481	373	13	into	into	ADP
ijassa-1481	373	14	one	one	NUM
ijassa-1481	373	15	cluster	cluster	NOUN
ijassa-1481	373	16	,	,	PUNCT
ijassa-1481	373	17	which	which	PRON
ijassa-1481	373	18	increases	increase	VERB
ijassa-1481	373	19	system	system	NOUN
ijassa-1481	373	20	availability	availability	NOUN
ijassa-1481	373	21	and	and	CCONJ
ijassa-1481	373	22	performance	performance	NOUN
ijassa-1481	373	23	,	,	PUNCT
ijassa-1481	373	24	and	and	CCONJ
ijassa-1481	373	25	data	datum	NOUN
ijassa-1481	373	26	replication	replication	NOUN
ijassa-1481	373	27	allows	allow	VERB
ijassa-1481	373	28	you	you	PRON
ijassa-1481	373	29	to	to	PART
ijassa-1481	373	30	create	create	VERB
ijassa-1481	373	31	copies	copy	NOUN
ijassa-1481	373	32	of	of	ADP
ijassa-1481	373	33	data	datum	NOUN
ijassa-1481	373	34	on	on	ADP
ijassa-1481	373	35	several	several	ADJ
ijassa-1481	373	36	servers	server	NOUN
ijassa-1481	373	37	,	,	PUNCT
ijassa-1481	373	38	which	which	PRON
ijassa-1481	373	39	allows	allow	VERB
ijassa-1481	373	40	you	you	PRON
ijassa-1481	373	41	to	to	PART
ijassa-1481	373	42	ensure	ensure	VERB
ijassa-1481	373	43	data	datum	NOUN
ijassa-1481	373	44	availability	availability	NOUN
ijassa-1481	373	45	in	in	ADP
ijassa-1481	373	46	case	case	NOUN
ijassa-1481	373	47	of	of	ADP
ijassa-1481	373	48	failure	failure	NOUN
ijassa-1481	373	49	of	of	ADP
ijassa-1481	373	50	one	one	NUM
ijassa-1481	373	51	server	server	NOUN
ijassa-1481	373	52	.	.	PUNCT
ijassa-1481	374	1	at	at	ADP
ijassa-1481	374	2	the	the	DET
ijassa-1481	374	3	physical	physical	ADJ
ijassa-1481	374	4	infrastructure	infrastructure	NOUN
ijassa-1481	374	5	level	level	NOUN
ijassa-1481	374	6	,	,	PUNCT
ijassa-1481	374	7	virtualization	virtualization	NOUN
ijassa-1481	374	8	technologies	technology	NOUN
ijassa-1481	374	9	can	can	AUX
ijassa-1481	374	10	also	also	ADV
ijassa-1481	374	11	be	be	AUX
ijassa-1481	374	12	used	use	VERB
ijassa-1481	374	13	to	to	PART
ijassa-1481	374	14	make	make	VERB
ijassa-1481	374	15	more	more	ADV
ijassa-1481	374	16	efficient	efficient	ADJ
ijassa-1481	374	17	use	use	NOUN
ijassa-1481	374	18	of	of	ADP
ijassa-1481	374	19	server	server	NOUN
ijassa-1481	374	20	resources	resource	NOUN
ijassa-1481	374	21	and	and	CCONJ
ijassa-1481	374	22	provide	provide	VERB
ijassa-1481	374	23	greater	great	ADJ
ijassa-1481	374	24	resiliency	resiliency	NOUN
ijassa-1481	374	25	,	,	PUNCT
ijassa-1481	374	26	for	for	ADP
ijassa-1481	374	27	example	example	NOUN
ijassa-1481	374	28	,	,	PUNCT
ijassa-1481	374	29	by	by	ADP
ijassa-1481	374	30	enabling	enable	VERB
ijassa-1481	374	31	applications	application	NOUN
ijassa-1481	374	32	and	and	CCONJ
ijassa-1481	374	33	data	datum	NOUN
ijassa-1481	374	34	to	to	PART
ijassa-1481	374	35	be	be	AUX
ijassa-1481	374	36	quickly	quickly	ADV
ijassa-1481	374	37	migrated	migrate	VERB
ijassa-1481	374	38	between	between	ADP
ijassa-1481	374	39	physical	physical	ADJ
ijassa-1481	374	40	servers	server	NOUN
ijassa-1481	374	41	in	in	ADP
ijassa-1481	374	42	the	the	DET
ijassa-1481	374	43	event	event	NOUN
ijassa-1481	374	44	of	of	ADP
ijassa-1481	374	45	a	a	DET
ijassa-1481	374	46	hardware	hardware	NOUN
ijassa-1481	374	47	failure	failure	NOUN
ijassa-1481	374	48	.	.	PUNCT
ijassa-1481	375	1	the	the	DET
ijassa-1481	375	2	virtualization	virtualization	NOUN
ijassa-1481	375	3	layer	layer	NOUN
ijassa-1481	375	4	in	in	ADP
ijassa-1481	375	5	a	a	DET
ijassa-1481	375	6	cloud	cloud	NOUN
ijassa-1481	375	7	environment	environment	NOUN
ijassa-1481	375	8	is	be	AUX
ijassa-1481	375	9	responsible	responsible	ADJ
ijassa-1481	375	10	for	for	ADP
ijassa-1481	375	11	managing	manage	VERB
ijassa-1481	375	12	and	and	CCONJ
ijassa-1481	375	13	virtualizing	virtualize	VERB
ijassa-1481	375	14	the	the	DET
ijassa-1481	375	15	physical	physical	ADJ
ijassa-1481	375	16	infrastructure	infrastructure	NOUN
ijassa-1481	375	17	.	.	PUNCT
ijassa-1481	376	1	this	this	DET
ijassa-1481	376	2	layer	layer	NOUN
ijassa-1481	376	3	abstracts	abstract	VERB
ijassa-1481	376	4	away	away	ADV
ijassa-1481	376	5	physical	physical	ADJ
ijassa-1481	376	6	servers	server	NOUN
ijassa-1481	376	7	and	and	CCONJ
ijassa-1481	376	8	data	datum	NOUN
ijassa-1481	376	9	storage	storage	NOUN
ijassa-1481	376	10	,	,	PUNCT
ijassa-1481	376	11	allowing	allow	VERB
ijassa-1481	376	12	for	for	ADP
ijassa-1481	376	13	more	more	ADV
ijassa-1481	376	14	flexible	flexible	ADJ
ijassa-1481	376	15	resource	resource	NOUN
ijassa-1481	376	16	management	management	NOUN
ijassa-1481	376	17	and	and	CCONJ
ijassa-1481	376	18	efficiency	efficiency	NOUN
ijassa-1481	376	19	.	.	PUNCT
ijassa-1481	377	1	virtualization	virtualization	NOUN
ijassa-1481	377	2	provides	provide	VERB
ijassa-1481	377	3	the	the	DET
ijassa-1481	377	4	ability	ability	NOUN
ijassa-1481	377	5	to	to	PART
ijassa-1481	377	6	create	create	VERB
ijassa-1481	377	7	virtual	virtual	ADJ
ijassa-1481	377	8	machines	machine	NOUN
ijassa-1481	377	9	and	and	CCONJ
ijassa-1481	377	10	containers	container	NOUN
ijassa-1481	377	11	that	that	PRON
ijassa-1481	377	12	can	can	AUX
ijassa-1481	377	13	run	run	VERB
ijassa-1481	377	14	on	on	ADP
ijassa-1481	377	15	a	a	DET
ijassa-1481	377	16	single	single	ADJ
ijassa-1481	377	17	physical	physical	ADJ
ijassa-1481	377	18	server	server	NOUN
ijassa-1481	377	19	using	use	VERB
ijassa-1481	377	20	the	the	DET
ijassa-1481	377	21	resources	resource	NOUN
ijassa-1481	377	22	of	of	ADP
ijassa-1481	377	23	that	that	DET
ijassa-1481	377	24	server	server	NOUN
ijassa-1481	377	25	.	.	PUNCT
ijassa-1481	378	1	virtual	virtual	ADJ
ijassa-1481	378	2	machines	machine	NOUN
ijassa-1481	378	3	can	can	AUX
ijassa-1481	378	4	be	be	AUX
ijassa-1481	378	5	quickly	quickly	ADV
ijassa-1481	378	6	moved	move	VERB
ijassa-1481	378	7	between	between	ADP
ijassa-1481	378	8	servers	server	NOUN
ijassa-1481	378	9	in	in	ADP
ijassa-1481	378	10	the	the	DET
ijassa-1481	378	11	event	event	NOUN
ijassa-1481	378	12	of	of	ADP
ijassa-1481	378	13	a	a	DET
ijassa-1481	378	14	hardware	hardware	NOUN
ijassa-1481	378	15	failure	failure	NOUN
ijassa-1481	378	16	or	or	CCONJ
ijassa-1481	378	17	for	for	ADP
ijassa-1481	378	18	load	load	NOUN
ijassa-1481	378	19	balancing	balancing	NOUN
ijassa-1481	378	20	.	.	PUNCT
ijassa-1481	379	1	virtualization	virtualization	NOUN
ijassa-1481	379	2	also	also	ADV
ijassa-1481	379	3	enables	enable	VERB
ijassa-1481	379	4	you	you	PRON
ijassa-1481	379	5	to	to	PART
ijassa-1481	379	6	create	create	VERB
ijassa-1481	379	7	snapshots	snapshot	NOUN
ijassa-1481	379	8	of	of	ADP
ijassa-1481	379	9	virtual	virtual	ADJ
ijassa-1481	379	10	machines	machine	NOUN
ijassa-1481	379	11	and	and	CCONJ
ijassa-1481	379	12	datastores	datastore	NOUN
ijassa-1481	379	13	,	,	PUNCT
ijassa-1481	379	14	making	make	VERB
ijassa-1481	379	15	it	it	PRON
ijassa-1481	379	16	easier	easy	ADJ
ijassa-1481	379	17	to	to	PART
ijassa-1481	379	18	back	back	VERB
ijassa-1481	379	19	up	up	ADP
ijassa-1481	379	20	data	datum	NOUN
ijassa-1481	379	21	and	and	CCONJ
ijassa-1481	379	22	restore	restore	VERB
ijassa-1481	379	23	it	it	PRON
ijassa-1481	379	24	in	in	ADP
ijassa-1481	379	25	the	the	DET
ijassa-1481	379	26	event	event	NOUN
ijassa-1481	379	27	of	of	ADP
ijassa-1481	379	28	failures	failure	NOUN
ijassa-1481	379	29	.	.	PUNCT
ijassa-1481	380	1	in	in	ADP
ijassa-1481	380	2	addition	addition	NOUN
ijassa-1481	380	3	,	,	PUNCT
ijassa-1481	380	4	virtualization	virtualization	NOUN
ijassa-1481	380	5	provides	provide	VERB
ijassa-1481	380	6	the	the	DET
ijassa-1481	380	7	ability	ability	NOUN
ijassa-1481	380	8	to	to	PART
ijassa-1481	380	9	create	create	VERB
ijassa-1481	380	10	virtual	virtual	ADJ
ijassa-1481	380	11	networks	network	NOUN
ijassa-1481	380	12	and	and	CCONJ
ijassa-1481	380	13	network	network	NOUN
ijassa-1481	380	14	devices	device	NOUN
ijassa-1481	380	15	,	,	PUNCT
ijassa-1481	380	16	allowing	allow	VERB
ijassa-1481	380	17	you	you	PRON
ijassa-1481	380	18	to	to	PART
ijassa-1481	380	19	manage	manage	VERB
ijassa-1481	380	20	your	your	PRON
ijassa-1481	380	21	network	network	NOUN
ijassa-1481	380	22	infrastructure	infrastructure	NOUN
ijassa-1481	380	23	more	more	ADV
ijassa-1481	380	24	flexibly	flexibly	ADV
ijassa-1481	380	25	.	.	PUNCT
ijassa-1481	381	1	thus	thus	ADV
ijassa-1481	381	2	,	,	PUNCT
ijassa-1481	381	3	the	the	DET
ijassa-1481	381	4	virtualization	virtualization	NOUN
ijassa-1481	381	5	layer	layer	NOUN
ijassa-1481	381	6	in	in	ADP
ijassa-1481	381	7	a	a	DET
ijassa-1481	381	8	cloud	cloud	NOUN
ijassa-1481	381	9	environment	environment	NOUN
ijassa-1481	381	10	plays	play	VERB
ijassa-1481	381	11	an	an	DET
ijassa-1481	381	12	important	important	ADJ
ijassa-1481	381	13	role	role	NOUN
ijassa-1481	381	14	in	in	ADP
ijassa-1481	381	15	providing	provide	VERB
ijassa-1481	381	16	system	system	NOUN
ijassa-1481	381	17	resiliency	resiliency	NOUN
ijassa-1481	381	18	by	by	ADP
ijassa-1481	381	19	enabling	enable	VERB
ijassa-1481	381	20	rapid	rapid	ADJ
ijassa-1481	381	21	migration	migration	NOUN
ijassa-1481	381	22	of	of	ADP
ijassa-1481	381	23	applications	application	NOUN
ijassa-1481	381	24	and	and	CCONJ
ijassa-1481	381	25	data	datum	NOUN
ijassa-1481	381	26	between	between	ADP
ijassa-1481	381	27	physical	physical	ADJ
ijassa-1481	381	28	servers	server	NOUN
ijassa-1481	381	29	,	,	PUNCT
ijassa-1481	381	30	data	datum	NOUN
ijassa-1481	381	31	backup	backup	NOUN
ijassa-1481	381	32	,	,	PUNCT
ijassa-1481	381	33	and	and	CCONJ
ijassa-1481	381	34	resource	resource	NOUN
ijassa-1481	381	35	access	access	NOUN
ijassa-1481	381	36	control	control	NOUN
ijassa-1481	381	37	.	.	PUNCT
ijassa-1481	382	1	the	the	DET
ijassa-1481	382	2	application	application	NOUN
ijassa-1481	382	3	layer	layer	NOUN
ijassa-1481	382	4	is	be	AUX
ijassa-1481	382	5	the	the	DET
ijassa-1481	382	6	layer	layer	NOUN
ijassa-1481	382	7	in	in	ADP
ijassa-1481	382	8	the	the	DET
ijassa-1481	382	9	cloud	cloud	NOUN
ijassa-1481	382	10	infrastructure	infrastructure	NOUN
ijassa-1481	382	11	that	that	PRON
ijassa-1481	382	12	hosts	host	VERB
ijassa-1481	382	13	the	the	DET
ijassa-1481	382	14	applications	application	NOUN
ijassa-1481	382	15	that	that	PRON
ijassa-1481	382	16	utilize	utilize	VERB
ijassa-1481	382	17	the	the	DET
ijassa-1481	382	18	data	datum	NOUN
ijassa-1481	382	19	stored	store	VERB
ijassa-1481	382	20	in	in	ADP
ijassa-1481	382	21	the	the	DET
ijassa-1481	382	22	cloud	cloud	NOUN
ijassa-1481	382	23	.	.	PUNCT
ijassa-1481	383	1	this	this	DET
ijassa-1481	383	2	layer	layer	NOUN
ijassa-1481	383	3	includes	include	VERB
ijassa-1481	383	4	software	software	NOUN
ijassa-1481	383	5	that	that	PRON
ijassa-1481	383	6	is	be	AUX
ijassa-1481	383	7	used	use	VERB
ijassa-1481	383	8	to	to	PART
ijassa-1481	383	9	process	process	NOUN
ijassa-1481	383	10	,	,	PUNCT
ijassa-1481	383	11	store	store	NOUN
ijassa-1481	383	12	,	,	PUNCT
ijassa-1481	383	13	and	and	CCONJ
ijassa-1481	383	14	transfer	transfer	NOUN
ijassa-1481	383	15	data	datum	NOUN
ijassa-1481	383	16	,	,	PUNCT
ijassa-1481	383	17	including	include	VERB
ijassa-1481	383	18	databases	database	NOUN
ijassa-1481	383	19	,	,	PUNCT
ijassa-1481	383	20	data	datum	NOUN
ijassa-1481	383	21	processing	processing	NOUN
ijassa-1481	383	22	applications	application	NOUN
ijassa-1481	383	23	,	,	PUNCT
ijassa-1481	383	24	and	and	CCONJ
ijassa-1481	383	25	web	web	NOUN
ijassa-1481	383	26	services	service	NOUN
ijassa-1481	383	27	.	.	PUNCT
ijassa-1481	384	1	at	at	ADP
ijassa-1481	384	2	the	the	DET
ijassa-1481	384	3	application	application	NOUN
ijassa-1481	384	4	layer	layer	NOUN
ijassa-1481	384	5	,	,	PUNCT
ijassa-1481	384	6	cloud	cloud	NOUN
ijassa-1481	384	7	infrastructure	infrastructure	NOUN
ijassa-1481	384	8	utilizes	utilize	VERB
ijassa-1481	384	9	data	datum	NOUN
ijassa-1481	384	10	backup	backup	NOUN
ijassa-1481	384	11	mechanisms	mechanism	NOUN
ijassa-1481	384	12	,	,	PUNCT
ijassa-1481	384	13	monitoring	monitoring	NOUN
ijassa-1481	384	14	and	and	CCONJ
ijassa-1481	384	15	management	management	NOUN
ijassa-1481	384	16	mechanisms	mechanism	NOUN
ijassa-1481	384	17	,	,	PUNCT
ijassa-1481	384	18	and	and	CCONJ
ijassa-1481	384	19	automatic	automatic	ADJ
ijassa-1481	384	20	disaster	disaster	NOUN
ijassa-1481	384	21	recovery	recovery	NOUN
ijassa-1481	384	22	mechanisms	mechanism	NOUN
ijassa-1481	384	23	.	.	PUNCT
ijassa-1481	385	1	in	in	ADP
ijassa-1481	385	2	addition	addition	NOUN
ijassa-1481	385	3	,	,	PUNCT
ijassa-1481	385	4	the	the	DET
ijassa-1481	385	5	application	application	NOUN
ijassa-1481	385	6	layer	layer	NOUN
ijassa-1481	385	7	typically	typically	ADV
ijassa-1481	385	8	utilizes	utilize	VERB
ijassa-1481	385	9	mechanisms	mechanism	NOUN
ijassa-1481	385	10	that	that	PRON
ijassa-1481	385	11	provide	provide	VERB
ijassa-1481	385	12	scalability	scalability	NOUN
ijassa-1481	385	13	to	to	PART
ijassa-1481	385	14	support	support	VERB
ijassa-1481	385	15	the	the	DET
ijassa-1481	385	16	growing	grow	VERB
ijassa-1481	385	17	number	number	NOUN
ijassa-1481	385	18	of	of	ADP
ijassa-1481	385	19	users	user	NOUN
ijassa-1481	385	20	and	and	CCONJ
ijassa-1481	385	21	data	datum	NOUN
ijassa-1481	385	22	being	be	AUX
ijassa-1481	385	23	processed	process	VERB
ijassa-1481	385	24	.	.	PUNCT
ijassa-1481	386	1	the	the	DET
ijassa-1481	386	2	data	data	NOUN
ijassa-1481	386	3	access	access	NOUN
ijassa-1481	386	4	layer	layer	NOUN
ijassa-1481	386	5	is	be	AUX
ijassa-1481	386	6	an	an	DET
ijassa-1481	386	7	abstraction	abstraction	ADJ
ijassa-1481	386	8	layer	layer	NOUN
ijassa-1481	386	9	that	that	PRON
ijassa-1481	386	10	provides	provide	VERB
ijassa-1481	386	11	access	access	NOUN
ijassa-1481	386	12	to	to	ADP
ijassa-1481	386	13	data	datum	NOUN
ijassa-1481	386	14	from	from	ADP
ijassa-1481	386	15	applications	application	NOUN
ijassa-1481	386	16	that	that	PRON
ijassa-1481	386	17	utilize	utilize	VERB
ijassa-1481	386	18	the	the	DET
ijassa-1481	386	19	cloud	cloud	PROPN
ijassa-1481	386	20	environment	environment	NOUN
ijassa-1481	386	21	.	.	PUNCT
ijassa-1481	387	1	this	this	DET
ijassa-1481	387	2	layer	layer	NOUN
ijassa-1481	387	3	typically	typically	ADV
ijassa-1481	387	4	implements	implement	VERB
ijassa-1481	387	5	a	a	DET
ijassa-1481	387	6	mechanism	mechanism	NOUN
ijassa-1481	387	7	to	to	PART
ijassa-1481	387	8	access	access	VERB
ijassa-1481	387	9	data	datum	NOUN
ijassa-1481	387	10	through	through	ADP
ijassa-1481	387	11	apis	apis	PROPN
ijassa-1481	387	12	or	or	CCONJ
ijassa-1481	387	13	protocols	protocol	NOUN
ijassa-1481	387	14	such	such	ADJ
ijassa-1481	387	15	as	as	ADP
ijassa-1481	387	16	http	http	NOUN
ijassa-1481	387	17	or	or	CCONJ
ijassa-1481	387	18	https	https	NOUN
ijassa-1481	387	19	.	.	PUNCT
ijassa-1481	388	1	to	to	PART
ijassa-1481	388	2	provide	provide	VERB
ijassa-1481	388	3	security	security	NOUN
ijassa-1481	388	4	and	and	CCONJ
ijassa-1481	388	5	fault	fault	VERB
ijassa-1481	388	6	tolerance	tolerance	NOUN
ijassa-1481	388	7	at	at	ADP
ijassa-1481	388	8	this	this	DET
ijassa-1481	388	9	layer	layer	NOUN
ijassa-1481	388	10	,	,	PUNCT
ijassa-1481	388	11	data	datum	NOUN
ijassa-1481	388	12	encryption	encryption	NOUN
ijassa-1481	388	13	,	,	PUNCT
ijassa-1481	388	14	access	access	NOUN
ijassa-1481	388	15	control	control	NOUN
ijassa-1481	388	16	,	,	PUNCT
ijassa-1481	388	17	and	and	CCONJ
ijassa-1481	388	18	user	user	NOUN
ijassa-1481	388	19	authentication	authentication	NOUN
ijassa-1481	388	20	mechanisms	mechanism	NOUN
ijassa-1481	388	21	are	be	AUX
ijassa-1481	388	22	used	use	VERB
ijassa-1481	388	23	.	.	PUNCT
ijassa-1481	389	1	for	for	ADP
ijassa-1481	389	2	example	example	NOUN
ijassa-1481	389	3	,	,	PUNCT
ijassa-1481	389	4	authorization	authorization	NOUN
ijassa-1481	389	5	mechanisms	mechanism	NOUN
ijassa-1481	389	6	such	such	ADJ
ijassa-1481	389	7	as	as	ADP
ijassa-1481	389	8	oauth	oauth	NOUN
ijassa-1481	389	9	or	or	CCONJ
ijassa-1481	389	10	openid	openid	ADJ
ijassa-1481	389	11	connect	connect	NOUN
ijassa-1481	389	12	can	can	AUX
ijassa-1481	389	13	be	be	AUX
ijassa-1481	389	14	used	use	VERB
ijassa-1481	389	15	for	for	ADP
ijassa-1481	389	16	access	access	NOUN
ijassa-1481	389	17	control	control	NOUN
ijassa-1481	389	18	,	,	PUNCT
ijassa-1481	389	19	and	and	CCONJ
ijassa-1481	389	20	encryption	encryption	NOUN
ijassa-1481	389	21	protocols	protocol	NOUN
ijassa-1481	389	22	such	such	ADJ
ijassa-1481	389	23	as	as	ADP
ijassa-1481	389	24	ssl	ssl	PROPN
ijassa-1481	389	25	or	or	CCONJ
ijassa-1481	389	26	tls	tls	PROPN
ijassa-1481	389	27	can	can	AUX
ijassa-1481	389	28	be	be	AUX
ijassa-1481	389	29	used	use	VERB
ijassa-1481	389	30	for	for	ADP
ijassa-1481	389	31	data	data	NOUN
ijassa-1481	389	32	encryption	encryption	NOUN
ijassa-1481	389	33	.	.	PUNCT
ijassa-1481	390	1	in	in	ADP
ijassa-1481	390	2	addition	addition	NOUN
ijassa-1481	390	3	,	,	PUNCT
ijassa-1481	390	4	at	at	ADP
ijassa-1481	390	5	the	the	DET
ijassa-1481	390	6	data	data	NOUN
ijassa-1481	390	7	access	access	NOUN
ijassa-1481	390	8	layer	layer	NOUN
ijassa-1481	390	9	,	,	PUNCT
ijassa-1481	390	10	a	a	DET
ijassa-1481	390	11	data	data	NOUN
ijassa-1481	390	12	caching	cache	VERB
ijassa-1481	390	13	mechanism	mechanism	NOUN
ijassa-1481	390	14	can	can	AUX
ijassa-1481	390	15	be	be	AUX
ijassa-1481	390	16	used	use	VERB
ijassa-1481	390	17	to	to	PART
ijassa-1481	390	18	increase	increase	VERB
ijassa-1481	390	19	the	the	DET
ijassa-1481	390	20	speed	speed	NOUN
ijassa-1481	390	21	of	of	ADP
ijassa-1481	390	22	data	datum	NOUN
ijassa-1481	390	23	access	access	NOUN
ijassa-1481	390	24	.	.	PUNCT
ijassa-1481	391	1	data	datum	NOUN
ijassa-1481	391	2	caching	cache	VERB
ijassa-1481	391	3	allows	allow	VERB
ijassa-1481	391	4	a	a	DET
ijassa-1481	391	5	copy	copy	NOUN
ijassa-1481	391	6	of	of	ADP
ijassa-1481	391	7	the	the	DET
ijassa-1481	391	8	data	datum	NOUN
ijassa-1481	391	9	to	to	PART
ijassa-1481	391	10	be	be	AUX
ijassa-1481	391	11	stored	store	VERB
ijassa-1481	391	12	in	in	ADP
ijassa-1481	391	13	server	server	NOUN
ijassa-1481	391	14	memory	memory	NOUN
ijassa-1481	391	15	or	or	CCONJ
ijassa-1481	391	16	on	on	ADP
ijassa-1481	391	17	other	other	ADJ
ijassa-1481	391	18	devices	device	NOUN
ijassa-1481	391	19	,	,	PUNCT
ijassa-1481	391	20	which	which	PRON
ijassa-1481	391	21	speeds	speed	VERB
ijassa-1481	391	22	up	up	ADP
ijassa-1481	391	23	data	datum	NOUN
ijassa-1481	391	24	access	access	NOUN
ijassa-1481	391	25	and	and	CCONJ
ijassa-1481	391	26	reduces	reduce	VERB
ijassa-1481	391	27	the	the	DET
ijassa-1481	391	28	load	load	NOUN
ijassa-1481	391	29	on	on	ADP
ijassa-1481	391	30	the	the	DET
ijassa-1481	391	31	data	datum	NOUN
ijassa-1481	391	32	warehouse	warehouse	NOUN
ijassa-1481	391	33	.	.	PUNCT
ijassa-1481	392	1	however	however	ADV
ijassa-1481	392	2	,	,	PUNCT
ijassa-1481	392	3	when	when	SCONJ
ijassa-1481	392	4	using	use	VERB
ijassa-1481	392	5	data	datum	NOUN
ijassa-1481	392	6	caching	cache	VERB
ijassa-1481	392	7	,	,	PUNCT
ijassa-1481	392	8	it	it	PRON
ijassa-1481	392	9	is	be	AUX
ijassa-1481	392	10	necessary	necessary	ADJ
ijassa-1481	392	11	to	to	PART
ijassa-1481	392	12	ensure	ensure	VERB
ijassa-1481	392	13	that	that	SCONJ
ijassa-1481	392	14	the	the	DET
ijassa-1481	392	15	cache	cache	NOUN
ijassa-1481	392	16	is	be	AUX
ijassa-1481	392	17	consistent	consistent	ADJ
ijassa-1481	392	18	with	with	ADP
ijassa-1481	392	19	the	the	DET
ijassa-1481	392	20	data	data	NOUN
ijassa-1481	392	21	store	store	NOUN
ijassa-1481	392	22	to	to	PART
ijassa-1481	392	23	avoid	avoid	VERB
ijassa-1481	392	24	possible	possible	ADJ
ijassa-1481	392	25	data	datum	NOUN
ijassa-1481	392	26	integrity	integrity	NOUN
ijassa-1481	392	27	issues	issue	NOUN
ijassa-1481	392	28	.	.	PUNCT
ijassa-1481	393	1	the	the	DET
ijassa-1481	393	2	rns	rn	NOUN
ijassa-1481	393	3	allows	allow	VERB
ijassa-1481	393	4	to	to	PART
ijassa-1481	393	5	significantly	significantly	ADV
ijassa-1481	393	6	improve	improve	VERB
ijassa-1481	393	7	the	the	DET
ijassa-1481	393	8	parameters	parameter	NOUN
ijassa-1481	393	9	of	of	ADP
ijassa-1481	393	10	cloud	cloud	NOUN
ijassa-1481	393	11	storage	storage	NOUN
ijassa-1481	393	12	compared	compare	VERB
ijassa-1481	393	13	to	to	ADP
ijassa-1481	393	14	the	the	DET
ijassa-1481	393	15	storage	storage	NOUN
ijassa-1481	393	16	based	base	VERB
ijassa-1481	393	17	on	on	ADP
ijassa-1481	393	18	traditional	traditional	ADJ
ijassa-1481	393	19	arithmetic	arithmetic	ADJ
ijassa-1481	393	20	,	,	PUNCT
ijassa-1481	393	21	as	as	ADV
ijassa-1481	393	22	well	well	ADV
ijassa-1481	393	23	as	as	ADP
ijassa-1481	393	24	to	to	PART
ijassa-1481	393	25	obtain	obtain	VERB
ijassa-1481	393	26	new	new	ADJ
ijassa-1481	393	27	,	,	PUNCT
ijassa-1481	393	28	more	more	ADV
ijassa-1481	393	29	progressive	progressive	ADJ
ijassa-1481	393	30	design	design	NOUN
ijassa-1481	393	31	and	and	CCONJ
ijassa-1481	393	32	structural	structural	ADJ
ijassa-1481	393	33	solutions	solution	NOUN
ijassa-1481	393	34	.	.	PUNCT
ijassa-1481	394	1	application	application	NOUN
ijassa-1481	394	2	of	of	ADP
ijassa-1481	394	3	the	the	DET
ijassa-1481	394	4	rns	rn	NOUN
ijassa-1481	394	5	provides	provide	VERB
ijassa-1481	394	6	independent	independent	ADJ
ijassa-1481	394	7	and	and	CCONJ
ijassa-1481	394	8	parallel	parallel	ADJ
ijassa-1481	394	9	processing	processing	NOUN
ijassa-1481	394	10	of	of	ADP
ijassa-1481	394	11	each	each	DET
ijassa-1481	394	12	part	part	NOUN
ijassa-1481	394	13	of	of	ADP
ijassa-1481	394	14	data	datum	NOUN
ijassa-1481	394	15	,	,	PUNCT
ijassa-1481	394	16	which	which	PRON
ijassa-1481	394	17	determines	determine	VERB
ijassa-1481	394	18	the	the	DET
ijassa-1481	394	19	specifics	specific	NOUN
ijassa-1481	394	20	of	of	ADP
ijassa-1481	394	21	cloud	cloud	ADJ
ijassa-1481	394	22	storage	storage	NOUN
ijassa-1481	394	23	organization	organization	NOUN
ijassa-1481	394	24	.	.	PUNCT
ijassa-1481	395	1	redundant	redundant	ADJ
ijassa-1481	395	2	coding	code	VERB
ijassa-1481	395	3	in	in	ADP
ijassa-1481	395	4	rns	rn	NOUN
ijassa-1481	395	5	provides	provide	VERB
ijassa-1481	395	6	survivability	survivability	NOUN
ijassa-1481	395	7	of	of	ADP
ijassa-1481	395	8	the	the	DET
ijassa-1481	395	9	system	system	NOUN
ijassa-1481	395	10	even	even	ADV
ijassa-1481	395	11	in	in	ADP
ijassa-1481	395	12	catastrophic	catastrophic	ADJ
ijassa-1481	395	13	situations	situation	NOUN
ijassa-1481	395	14	,	,	PUNCT
ijassa-1481	395	15	when	when	SCONJ
ijassa-1481	395	16	the	the	DET
ijassa-1481	395	17	flow	flow	NOUN
ijassa-1481	395	18	of	of	ADP
ijassa-1481	395	19	faults	fault	NOUN
ijassa-1481	395	20	and	and	CCONJ
ijassa-1481	395	21	failures	failure	NOUN
ijassa-1481	395	22	is	be	AUX
ijassa-1481	395	23	very	very	ADV
ijassa-1481	395	24	large	large	ADJ
ijassa-1481	395	25	,	,	PUNCT
ijassa-1481	395	26	then	then	ADV
ijassa-1481	395	27	the	the	DET
ijassa-1481	395	28	system	system	NOUN
ijassa-1481	395	29	will	will	AUX
ijassa-1481	395	30	produce	produce	VERB
ijassa-1481	395	31	functioning	function	VERB
ijassa-1481	395	32	.	.	PUNCT
ijassa-1481	396	1	the	the	DET
ijassa-1481	396	2	main	main	ADJ
ijassa-1481	396	3	feature	feature	NOUN
ijassa-1481	396	4	of	of	ADP
ijassa-1481	396	5	rns	rn	NOUN
ijassa-1481	396	6	based	base	VERB
ijassa-1481	396	7	cloud	cloud	NOUN
ijassa-1481	396	8	structure	structure	NOUN
ijassa-1481	396	9	is	be	AUX
ijassa-1481	396	10	the	the	DET
ijassa-1481	396	11	potential	potential	ADJ
ijassa-1481	396	12	ability	ability	NOUN
ijassa-1481	396	13	to	to	PART
ijassa-1481	396	14	function	function	VERB
ijassa-1481	396	15	in	in	ADP
ijassa-1481	396	16	case	case	NOUN
ijassa-1481	396	17	of	of	ADP
ijassa-1481	396	18	failures	failure	NOUN
ijassa-1481	396	19	,	,	PUNCT
ijassa-1481	396	20	losses	loss	NOUN
ijassa-1481	396	21	,	,	PUNCT
ijassa-1481	396	22	inaccessibility	inaccessibility	NOUN
ijassa-1481	396	23	of	of	ADP
ijassa-1481	396	24	data	datum	NOUN
ijassa-1481	396	25	parts	part	NOUN
ijassa-1481	396	26	.	.	PUNCT
ijassa-1481	397	1	this	this	PRON
ijassa-1481	397	2	allows	allow	VERB
ijassa-1481	397	3	to	to	PART
ijassa-1481	397	4	preserve	preserve	VERB
ijassa-1481	397	5	the	the	DET
ijassa-1481	397	6	operability	operability	NOUN
ijassa-1481	397	7	at	at	ADP
ijassa-1481	397	8	the	the	DET
ijassa-1481	397	9	expense	expense	NOUN
ijassa-1481	397	10	of	of	ADP
ijassa-1481	397	11	performance	performance	NOUN
ijassa-1481	397	12	and	and	CCONJ
ijassa-1481	397	13	performance	performance	NOUN
ijassa-1481	397	14	degradation	degradation	NOUN
ijassa-1481	397	15	.	.	PUNCT
ijassa-1481	398	1	the	the	DET
ijassa-1481	398	2	specified	specify	VERB
ijassa-1481	398	3	property	property	NOUN
ijassa-1481	398	4	provides	provide	VERB
ijassa-1481	398	5	high	high	ADJ
ijassa-1481	398	6	survivability	survivability	NOUN
ijassa-1481	398	7	of	of	ADP
ijassa-1481	398	8	the	the	DET
ijassa-1481	398	9	system	system	NOUN
ijassa-1481	398	10	and	and	CCONJ
ijassa-1481	398	11	is	be	AUX
ijassa-1481	398	12	one	one	NUM
ijassa-1481	398	13	of	of	ADP
ijassa-1481	398	14	the	the	DET
ijassa-1481	398	15	main	main	ADJ
ijassa-1481	398	16	factors	factor	NOUN
ijassa-1481	398	17	on	on	ADP
ijassa-1481	398	18	which	which	PRON
ijassa-1481	398	19	the	the	DET
ijassa-1481	398	20	development	development	NOUN
ijassa-1481	398	21	of	of	ADP
ijassa-1481	398	22	ways	way	NOUN
ijassa-1481	398	23	to	to	PART
ijassa-1481	398	24	build	build	VERB
ijassa-1481	398	25	fault	fault	NOUN
ijassa-1481	398	26	-	-	PUNCT
ijassa-1481	398	27	tolerant	tolerant	ADJ
ijassa-1481	398	28	data	datum	NOUN
ijassa-1481	398	29	storage	storage	NOUN
ijassa-1481	398	30	systems	system	NOUN
ijassa-1481	398	31	that	that	PRON
ijassa-1481	398	32	can	can	AUX
ijassa-1481	398	33	degrade	degrade	VERB
ijassa-1481	398	34	gradually	gradually	ADV
ijassa-1481	398	35	is	be	AUX
ijassa-1481	398	36	one	one	NUM
ijassa-1481	398	37	of	of	ADP
ijassa-1481	398	38	the	the	DET
ijassa-1481	398	39	main	main	ADJ
ijassa-1481	398	40	ways	way	NOUN
ijassa-1481	398	41	to	to	PART
ijassa-1481	398	42	build	build	VERB
ijassa-1481	398	43	complexes	complex	NOUN
ijassa-1481	398	44	with	with	ADP
ijassa-1481	398	45	high	high	ADJ
ijassa-1481	398	46	viability	viability	NOUN
ijassa-1481	398	47	,	,	PUNCT
ijassa-1481	398	48	fault	fault	VERB
ijassa-1481	398	49	tolerance	tolerance	NOUN
ijassa-1481	398	50	and	and	CCONJ
ijassa-1481	398	51	reliability	reliability	NOUN
ijassa-1481	398	52	is	be	AUX
ijassa-1481	398	53	based	base	VERB
ijassa-1481	398	54	.	.	PUNCT
ijassa-1481	399	1	copyright	copyright	NOUN
ijassa-1481	399	2	©	©	PROPN
ijassa-1481	399	3	2024	2024	NUM
ijassa-1481	399	4	assa	assa	NOUN
ijassa-1481	399	5	.	.	PUNCT
ijassa-1481	400	1	adv	adv	PROPN
ijassa-1481	400	2	syst	syst	PROPN
ijassa-1481	400	3	sci	sci	PROPN
ijassa-1481	400	4	appl	appl	PROPN
ijassa-1481	400	5	(	(	PUNCT
ijassa-1481	400	6	2024	2024	NUM
ijassa-1481	400	7	)	)	PUNCT
ijassa-1481	400	8	data	datum	NOUN
ijassa-1481	400	9	storage	storage	NOUN
ijassa-1481	400	10	with	with	ADP
ijassa-1481	400	11	increased	increase	VERB
ijassa-1481	400	12	survivability	survivability	NOUN
ijassa-1481	400	13	and	and	CCONJ
ijassa-1481	400	14	reliability	reliability	NOUN
ijassa-1481	400	15	...	...	PUNCT
ijassa-1481	400	16	181	181	NUM
ijassa-1481	400	17	let	let	VERB
ijassa-1481	400	18	us	we	PRON
ijassa-1481	400	19	consider	consider	VERB
ijassa-1481	400	20	issues	issue	NOUN
ijassa-1481	400	21	related	relate	VERB
ijassa-1481	400	22	to	to	PART
ijassa-1481	400	23	fault	fault	VERB
ijassa-1481	400	24	tolerance	tolerance	NOUN
ijassa-1481	400	25	of	of	ADP
ijassa-1481	400	26	cloud	cloud	ADJ
ijassa-1481	400	27	storage	storage	NOUN
ijassa-1481	400	28	system	system	NOUN
ijassa-1481	400	29	based	base	VERB
ijassa-1481	400	30	on	on	ADP
ijassa-1481	400	31	one	one	NUM
ijassa-1481	400	32	of	of	ADP
ijassa-1481	400	33	the	the	DET
ijassa-1481	400	34	most	most	ADV
ijassa-1481	400	35	important	important	ADJ
ijassa-1481	400	36	properties	property	NOUN
ijassa-1481	400	37	of	of	ADP
ijassa-1481	400	38	a	a	DET
ijassa-1481	400	39	residual	residual	ADJ
ijassa-1481	400	40	class	class	NOUN
ijassa-1481	400	41	system	system	NOUN
ijassa-1481	400	42	,	,	PUNCT
ijassa-1481	400	43	namely	namely	ADV
ijassa-1481	400	44	,	,	PUNCT
ijassa-1481	400	45	the	the	DET
ijassa-1481	400	46	possibility	possibility	NOUN
ijassa-1481	400	47	of	of	ADP
ijassa-1481	400	48	exchange	exchange	NOUN
ijassa-1481	400	49	operations	operation	NOUN
ijassa-1481	400	50	between	between	ADP
ijassa-1481	400	51	accuracy	accuracy	NOUN
ijassa-1481	400	52	,	,	PUNCT
ijassa-1481	400	53	speed	speed	NOUN
ijassa-1481	400	54	and	and	CCONJ
ijassa-1481	400	55	reliability	reliability	NOUN
ijassa-1481	400	56	.	.	PUNCT
ijassa-1481	401	1	the	the	DET
ijassa-1481	401	2	cloud	cloud	ADJ
ijassa-1481	401	3	storage	storage	NOUN
ijassa-1481	401	4	structure	structure	NOUN
ijassa-1481	401	5	shown	show	VERB
ijassa-1481	401	6	in	in	ADP
ijassa-1481	401	7	fig	fig	NOUN
ijassa-1481	401	8	.	.	PUNCT
ijassa-1481	402	1	7.1	7.1	NUM
ijassa-1481	402	2	consists	consist	VERB
ijassa-1481	402	3	of	of	ADP
ijassa-1481	402	4	independent	independent	ADJ
ijassa-1481	402	5	channels	channel	NOUN
ijassa-1481	402	6	and	and	CCONJ
ijassa-1481	402	7	cloud	cloud	NOUN
ijassa-1481	402	8	storage	storage	NOUN
ijassa-1481	402	9	.	.	PUNCT
ijassa-1481	403	1	in	in	ADP
ijassa-1481	403	2	order	order	NOUN
ijassa-1481	403	3	to	to	PART
ijassa-1481	403	4	realize	realize	VERB
ijassa-1481	403	5	the	the	DET
ijassa-1481	403	6	adaptation	adaptation	NOUN
ijassa-1481	403	7	methods	method	NOUN
ijassa-1481	403	8	,	,	PUNCT
ijassa-1481	403	9	it	it	PRON
ijassa-1481	403	10	is	be	AUX
ijassa-1481	403	11	necessary	necessary	ADJ
ijassa-1481	403	12	to	to	PART
ijassa-1481	403	13	strive	strive	VERB
ijassa-1481	403	14	for	for	ADP
ijassa-1481	403	15	the	the	DET
ijassa-1481	403	16	ultimate	ultimate	ADJ
ijassa-1481	403	17	homogeneity	homogeneity	NOUN
ijassa-1481	403	18	and	and	CCONJ
ijassa-1481	403	19	independence	independence	NOUN
ijassa-1481	403	20	of	of	ADP
ijassa-1481	403	21	all	all	DET
ijassa-1481	403	22	equipment	equipment	NOUN
ijassa-1481	403	23	.	.	PUNCT
ijassa-1481	404	1	fig	fig	NOUN
ijassa-1481	404	2	.	.	PUNCT
ijassa-1481	405	1	7.1	7.1	NUM
ijassa-1481	405	2	.	.	PUNCT
ijassa-1481	406	1	structure	structure	NOUN
ijassa-1481	406	2	of	of	ADP
ijassa-1481	406	3	the	the	DET
ijassa-1481	406	4	cloud	cloud	PROPN
ijassa-1481	406	5	fog	fog	PROPN
ijassa-1481	406	6	system	system	NOUN
ijassa-1481	406	7	.	.	PUNCT
ijassa-1481	407	1	8	8	X
ijassa-1481	407	2	.	.	X
ijassa-1481	407	3	structure	structure	NOUN
ijassa-1481	407	4	of	of	ADP
ijassa-1481	407	5	a	a	DET
ijassa-1481	407	6	fault	fault	NOUN
ijassa-1481	407	7	tolerant	tolerant	ADJ
ijassa-1481	407	8	data	datum	NOUN
ijassa-1481	407	9	processing	processing	NOUN
ijassa-1481	407	10	system	system	NOUN
ijassa-1481	407	11	in	in	ADP
ijassa-1481	407	12	a	a	DET
ijassa-1481	407	13	fog	fog	PROPN
ijassa-1481	407	14	environment	environment	PROPN
ijassa-1481	407	15	fog	fog	PROPN
ijassa-1481	407	16	computing	computing	PROPN
ijassa-1481	407	17	is	be	AUX
ijassa-1481	407	18	an	an	DET
ijassa-1481	407	19	architectural	architectural	ADJ
ijassa-1481	407	20	concept	concept	NOUN
ijassa-1481	407	21	that	that	PRON
ijassa-1481	407	22	extends	extend	VERB
ijassa-1481	407	23	cloud	cloud	NOUN
ijassa-1481	407	24	computing	compute	VERB
ijassa-1481	407	25	capabilities	capability	NOUN
ijassa-1481	407	26	by	by	ADP
ijassa-1481	407	27	moving	move	VERB
ijassa-1481	407	28	computing	compute	VERB
ijassa-1481	407	29	resources	resource	NOUN
ijassa-1481	407	30	closer	close	ADV
ijassa-1481	407	31	to	to	ADP
ijassa-1481	407	32	the	the	DET
ijassa-1481	407	33	edge	edge	NOUN
ijassa-1481	407	34	of	of	ADP
ijassa-1481	407	35	the	the	DET
ijassa-1481	407	36	network	network	NOUN
ijassa-1481	407	37	,	,	PUNCT
ijassa-1481	407	38	to	to	ADP
ijassa-1481	407	39	internet	internet	NOUN
ijassa-1481	407	40	of	of	ADP
ijassa-1481	407	41	things	thing	NOUN
ijassa-1481	407	42	(	(	PUNCT
ijassa-1481	407	43	iot	iot	NOUN
ijassa-1481	407	44	)	)	PUNCT
ijassa-1481	407	45	devices	device	NOUN
ijassa-1481	407	46	and	and	CCONJ
ijassa-1481	407	47	other	other	ADJ
ijassa-1481	407	48	end	end	NOUN
ijassa-1481	407	49	-	-	PUNCT
ijassa-1481	407	50	user	user	NOUN
ijassa-1481	407	51	devices	device	NOUN
ijassa-1481	407	52	.	.	PUNCT
ijassa-1481	408	1	the	the	DET
ijassa-1481	408	2	basic	basic	ADJ
ijassa-1481	408	3	idea	idea	NOUN
ijassa-1481	408	4	of	of	ADP
ijassa-1481	408	5	fog	fog	NOUN
ijassa-1481	408	6	computing	computing	NOUN
ijassa-1481	408	7	is	be	AUX
ijassa-1481	408	8	to	to	PART
ijassa-1481	408	9	process	process	VERB
ijassa-1481	408	10	data	datum	NOUN
ijassa-1481	408	11	and	and	CCONJ
ijassa-1481	408	12	perform	perform	VERB
ijassa-1481	408	13	computations	computation	NOUN
ijassa-1481	408	14	at	at	ADP
ijassa-1481	408	15	a	a	DET
ijassa-1481	408	16	closer	close	ADJ
ijassa-1481	408	17	distance	distance	NOUN
ijassa-1481	408	18	to	to	ADP
ijassa-1481	408	19	the	the	DET
ijassa-1481	408	20	data	datum	NOUN
ijassa-1481	408	21	source	source	NOUN
ijassa-1481	408	22	.	.	PUNCT
ijassa-1481	409	1	this	this	PRON
ijassa-1481	409	2	reduces	reduce	VERB
ijassa-1481	409	3	latency	latency	NOUN
ijassa-1481	409	4	,	,	PUNCT
ijassa-1481	409	5	improves	improve	VERB
ijassa-1481	409	6	responsiveness	responsiveness	NOUN
ijassa-1481	409	7	,	,	PUNCT
ijassa-1481	409	8	and	and	CCONJ
ijassa-1481	409	9	enables	enable	VERB
ijassa-1481	409	10	more	more	ADV
ijassa-1481	409	11	efficient	efficient	ADJ
ijassa-1481	409	12	utilization	utilization	NOUN
ijassa-1481	409	13	of	of	ADP
ijassa-1481	409	14	network	network	NOUN
ijassa-1481	409	15	resources	resource	NOUN
ijassa-1481	409	16	.	.	PUNCT
ijassa-1481	410	1	there	there	PRON
ijassa-1481	410	2	are	be	VERB
ijassa-1481	410	3	certain	certain	ADJ
ijassa-1481	410	4	reliability	reliability	NOUN
ijassa-1481	410	5	issues	issue	NOUN
ijassa-1481	410	6	of	of	ADP
ijassa-1481	410	7	data	datum	NOUN
ijassa-1481	410	8	processing	processing	NOUN
ijassa-1481	410	9	on	on	ADP
ijassa-1481	410	10	fog	fog	NOUN
ijassa-1481	410	11	nodes	node	NOUN
ijassa-1481	410	12	.	.	PUNCT
ijassa-1481	411	1	here	here	ADV
ijassa-1481	411	2	are	be	AUX
ijassa-1481	411	3	some	some	PRON
ijassa-1481	411	4	of	of	ADP
ijassa-1481	411	5	them	they	PRON
ijassa-1481	411	6	:	:	PUNCT
ijassa-1481	411	7	lack	lack	NOUN
ijassa-1481	411	8	of	of	ADP
ijassa-1481	411	9	network	network	NOUN
ijassa-1481	411	10	connectivity	connectivity	NOUN
ijassa-1481	411	11	:	:	PUNCT
ijassa-1481	411	12	fog	fog	NOUN
ijassa-1481	411	13	nodes	node	NOUN
ijassa-1481	411	14	may	may	AUX
ijassa-1481	411	15	be	be	AUX
ijassa-1481	411	16	connected	connect	VERB
ijassa-1481	411	17	to	to	ADP
ijassa-1481	411	18	a	a	DET
ijassa-1481	411	19	network	network	NOUN
ijassa-1481	411	20	with	with	ADP
ijassa-1481	411	21	limited	limited	ADJ
ijassa-1481	411	22	bandwidth	bandwidth	NOUN
ijassa-1481	411	23	or	or	CCONJ
ijassa-1481	411	24	may	may	AUX
ijassa-1481	411	25	temporarily	temporarily	ADV
ijassa-1481	411	26	lose	lose	VERB
ijassa-1481	411	27	connectivity	connectivity	NOUN
ijassa-1481	411	28	with	with	ADP
ijassa-1481	411	29	cloud	cloud	ADJ
ijassa-1481	411	30	servers	server	NOUN
ijassa-1481	411	31	.	.	PUNCT
ijassa-1481	412	1	this	this	PRON
ijassa-1481	412	2	may	may	AUX
ijassa-1481	412	3	lead	lead	VERB
ijassa-1481	412	4	to	to	ADP
ijassa-1481	412	5	problems	problem	NOUN
ijassa-1481	412	6	with	with	ADP
ijassa-1481	412	7	data	datum	NOUN
ijassa-1481	412	8	transfer	transfer	NOUN
ijassa-1481	412	9	or	or	CCONJ
ijassa-1481	412	10	synchronization	synchronization	NOUN
ijassa-1481	412	11	with	with	ADP
ijassa-1481	412	12	cloud	cloud	NOUN
ijassa-1481	412	13	services	service	NOUN
ijassa-1481	412	14	.	.	PUNCT
ijassa-1481	413	1	vulnerability	vulnerability	NOUN
ijassa-1481	413	2	to	to	ADP
ijassa-1481	413	3	failure	failure	NOUN
ijassa-1481	413	4	:	:	PUNCT
ijassa-1481	413	5	fog	fog	NOUN
ijassa-1481	413	6	nodes	node	NOUN
ijassa-1481	413	7	may	may	AUX
ijassa-1481	413	8	be	be	AUX
ijassa-1481	413	9	prone	prone	ADJ
ijassa-1481	413	10	to	to	ADP
ijassa-1481	413	11	failures	failure	NOUN
ijassa-1481	413	12	or	or	CCONJ
ijassa-1481	413	13	malfunctions	malfunction	NOUN
ijassa-1481	413	14	due	due	ADP
ijassa-1481	413	15	to	to	ADP
ijassa-1481	413	16	hardware	hardware	NOUN
ijassa-1481	413	17	issues	issue	NOUN
ijassa-1481	413	18	,	,	PUNCT
ijassa-1481	413	19	software	software	NOUN
ijassa-1481	413	20	bugs	bug	NOUN
ijassa-1481	413	21	,	,	PUNCT
ijassa-1481	413	22	or	or	CCONJ
ijassa-1481	413	23	external	external	ADJ
ijassa-1481	413	24	influences	influence	NOUN
ijassa-1481	413	25	.	.	PUNCT
ijassa-1481	414	1	this	this	PRON
ijassa-1481	414	2	may	may	AUX
ijassa-1481	414	3	result	result	VERB
ijassa-1481	414	4	in	in	ADP
ijassa-1481	414	5	data	datum	NOUN
ijassa-1481	414	6	loss	loss	NOUN
ijassa-1481	414	7	or	or	CCONJ
ijassa-1481	414	8	temporary	temporary	ADJ
ijassa-1481	414	9	unavailability	unavailability	NOUN
ijassa-1481	414	10	for	for	ADP
ijassa-1481	414	11	data	data	NOUN
ijassa-1481	414	12	processing	processing	NOUN
ijassa-1481	414	13	.	.	PUNCT
ijassa-1481	415	1	data	datum	NOUN
ijassa-1481	415	2	security	security	NOUN
ijassa-1481	415	3	:	:	PUNCT
ijassa-1481	415	4	data	datum	NOUN
ijassa-1481	415	5	processing	processing	NOUN
ijassa-1481	415	6	on	on	ADP
ijassa-1481	415	7	fog	fog	NOUN
ijassa-1481	415	8	nodes	node	NOUN
ijassa-1481	415	9	may	may	AUX
ijassa-1481	415	10	pose	pose	VERB
ijassa-1481	415	11	data	datum	NOUN
ijassa-1481	415	12	security	security	NOUN
ijassa-1481	415	13	risks	risk	NOUN
ijassa-1481	415	14	.	.	PUNCT
ijassa-1481	416	1	such	such	ADJ
ijassa-1481	416	2	nodes	node	NOUN
ijassa-1481	416	3	may	may	AUX
ijassa-1481	416	4	be	be	AUX
ijassa-1481	416	5	more	more	ADV
ijassa-1481	416	6	vulnerable	vulnerable	ADJ
ijassa-1481	416	7	to	to	ADP
ijassa-1481	416	8	cyberattacks	cyberattack	NOUN
ijassa-1481	416	9	and	and	CCONJ
ijassa-1481	416	10	may	may	AUX
ijassa-1481	416	11	not	not	PART
ijassa-1481	416	12	have	have	VERB
ijassa-1481	416	13	the	the	DET
ijassa-1481	416	14	same	same	ADJ
ijassa-1481	416	15	levels	level	NOUN
ijassa-1481	416	16	of	of	ADP
ijassa-1481	416	17	protection	protection	NOUN
ijassa-1481	416	18	as	as	ADP
ijassa-1481	416	19	centralized	centralized	ADJ
ijassa-1481	416	20	cloud	cloud	NOUN
ijassa-1481	416	21	servers	server	NOUN
ijassa-1481	416	22	.	.	PUNCT
ijassa-1481	417	1	appropriate	appropriate	ADJ
ijassa-1481	417	2	security	security	NOUN
ijassa-1481	417	3	measures	measure	NOUN
ijassa-1481	417	4	are	be	AUX
ijassa-1481	417	5	required	require	VERB
ijassa-1481	417	6	to	to	PART
ijassa-1481	417	7	protect	protect	VERB
ijassa-1481	417	8	data	datum	NOUN
ijassa-1481	417	9	transmitted	transmit	VERB
ijassa-1481	417	10	and	and	CCONJ
ijassa-1481	417	11	processed	process	VERB
ijassa-1481	417	12	on	on	ADP
ijassa-1481	417	13	fog	fog	NOUN
ijassa-1481	417	14	nodes	node	NOUN
ijassa-1481	417	15	.	.	PUNCT
ijassa-1481	418	1	copyright	copyright	NOUN
ijassa-1481	418	2	©	©	PROPN
ijassa-1481	418	3	2024	2024	NUM
ijassa-1481	418	4	assa	assa	NOUN
ijassa-1481	418	5	.	.	PUNCT
ijassa-1481	419	1	adv	adv	PROPN
ijassa-1481	419	2	syst	syst	PROPN
ijassa-1481	419	3	sci	sci	PROPN
ijassa-1481	419	4	appl	appl	PROPN
ijassa-1481	419	5	(	(	PUNCT
ijassa-1481	419	6	2024	2024	NUM
ijassa-1481	419	7	)	)	PUNCT
ijassa-1481	419	8	182	182	NUM
ijassa-1481	419	9	n.	n.	NOUN
ijassa-1481	419	10	kucherov	kucherov	PROPN
ijassa-1481	419	11	,	,	PUNCT
ijassa-1481	419	12	m.	m.	NOUN
ijassa-1481	419	13	babenko	babenko	PROPN
ijassa-1481	419	14	,	,	PUNCT
ijassa-1481	419	15	e.	e.	PROPN
ijassa-1481	419	16	shiriaev	shiriaev	PROPN
ijassa-1481	419	17	,	,	PUNCT
ijassa-1481	419	18	n.v	n.v	PROPN
ijassa-1481	419	19	.	.	PROPN
ijassa-1481	419	20	hung	hung	ADJ
ijassa-1481	419	21	scaling	scaling	NOUN
ijassa-1481	419	22	:	:	PUNCT
ijassa-1481	419	23	managing	manage	VERB
ijassa-1481	419	24	and	and	CCONJ
ijassa-1481	419	25	scaling	scale	VERB
ijassa-1481	419	26	a	a	DET
ijassa-1481	419	27	large	large	ADJ
ijassa-1481	419	28	number	number	NOUN
ijassa-1481	419	29	of	of	ADP
ijassa-1481	419	30	fog	fog	NOUN
ijassa-1481	419	31	nodes	node	NOUN
ijassa-1481	419	32	in	in	ADP
ijassa-1481	419	33	a	a	DET
ijassa-1481	419	34	distributed	distribute	VERB
ijassa-1481	419	35	environment	environment	NOUN
ijassa-1481	419	36	can	can	AUX
ijassa-1481	419	37	be	be	AUX
ijassa-1481	419	38	challenging	challenge	VERB
ijassa-1481	419	39	.	.	PUNCT
ijassa-1481	420	1	as	as	SCONJ
ijassa-1481	420	2	a	a	DET
ijassa-1481	420	3	fog	fog	NOUN
ijassa-1481	420	4	computing	computing	NOUN
ijassa-1481	420	5	system	system	NOUN
ijassa-1481	420	6	grows	grow	VERB
ijassa-1481	420	7	and	and	CCONJ
ijassa-1481	420	8	new	new	ADJ
ijassa-1481	420	9	nodes	node	NOUN
ijassa-1481	420	10	are	be	AUX
ijassa-1481	420	11	added	add	VERB
ijassa-1481	420	12	,	,	PUNCT
ijassa-1481	420	13	efficient	efficient	ADJ
ijassa-1481	420	14	management	management	NOUN
ijassa-1481	420	15	mechanisms	mechanism	NOUN
ijassa-1481	420	16	are	be	AUX
ijassa-1481	420	17	needed	need	VERB
ijassa-1481	420	18	to	to	PART
ijassa-1481	420	19	ensure	ensure	VERB
ijassa-1481	420	20	reliability	reliability	NOUN
ijassa-1481	420	21	and	and	CCONJ
ijassa-1481	420	22	consistency	consistency	NOUN
ijassa-1481	420	23	across	across	ADP
ijassa-1481	420	24	the	the	DET
ijassa-1481	420	25	entire	entire	ADJ
ijassa-1481	420	26	system	system	NOUN
ijassa-1481	420	27	.	.	PUNCT
ijassa-1481	421	1	resource	resource	NOUN
ijassa-1481	421	2	optimization	optimization	NOUN
ijassa-1481	421	3	:	:	PUNCT
ijassa-1481	421	4	allocating	allocate	VERB
ijassa-1481	421	5	and	and	CCONJ
ijassa-1481	421	6	optimizing	optimize	VERB
ijassa-1481	421	7	computational	computational	ADJ
ijassa-1481	421	8	resources	resource	NOUN
ijassa-1481	421	9	on	on	ADP
ijassa-1481	421	10	fog	fog	NOUN
ijassa-1481	421	11	nodes	node	NOUN
ijassa-1481	421	12	can	can	AUX
ijassa-1481	421	13	be	be	AUX
ijassa-1481	421	14	a	a	DET
ijassa-1481	421	15	complex	complex	ADJ
ijassa-1481	421	16	task	task	NOUN
ijassa-1481	421	17	.	.	PUNCT
ijassa-1481	422	1	application	application	NOUN
ijassa-1481	422	2	requirements	requirement	NOUN
ijassa-1481	422	3	,	,	PUNCT
ijassa-1481	422	4	node	node	NOUN
ijassa-1481	422	5	load	load	NOUN
ijassa-1481	422	6	,	,	PUNCT
ijassa-1481	422	7	and	and	CCONJ
ijassa-1481	422	8	available	available	ADJ
ijassa-1481	422	9	resources	resource	NOUN
ijassa-1481	422	10	must	must	AUX
ijassa-1481	422	11	be	be	AUX
ijassa-1481	422	12	considered	consider	VERB
ijassa-1481	422	13	to	to	PART
ijassa-1481	422	14	achieve	achieve	VERB
ijassa-1481	422	15	optimal	optimal	ADJ
ijassa-1481	422	16	reliability	reliability	NOUN
ijassa-1481	422	17	and	and	CCONJ
ijassa-1481	422	18	performance	performance	NOUN
ijassa-1481	422	19	.	.	PUNCT
ijassa-1481	423	1	data	datum	NOUN
ijassa-1481	423	2	synchronization	synchronization	NOUN
ijassa-1481	423	3	:	:	PUNCT
ijassa-1481	423	4	in	in	ADP
ijassa-1481	423	5	a	a	DET
ijassa-1481	423	6	fog	fog	NOUN
ijassa-1481	423	7	computing	compute	VERB
ijassa-1481	423	8	environment	environment	NOUN
ijassa-1481	423	9	,	,	PUNCT
ijassa-1481	423	10	there	there	PRON
ijassa-1481	423	11	may	may	AUX
ijassa-1481	423	12	be	be	AUX
ijassa-1481	423	13	problems	problem	NOUN
ijassa-1481	423	14	with	with	ADP
ijassa-1481	423	15	data	datum	NOUN
ijassa-1481	423	16	synchronization	synchronization	NOUN
ijassa-1481	423	17	between	between	ADP
ijassa-1481	423	18	different	different	ADJ
ijassa-1481	423	19	nodes	node	NOUN
ijassa-1481	423	20	.	.	PUNCT
ijassa-1481	424	1	while	while	SCONJ
ijassa-1481	424	2	transferring	transfer	VERB
ijassa-1481	424	3	data	datum	NOUN
ijassa-1481	424	4	between	between	ADP
ijassa-1481	424	5	nodes	node	NOUN
ijassa-1481	424	6	and	and	CCONJ
ijassa-1481	424	7	synchronizing	synchronize	VERB
ijassa-1481	424	8	computation	computation	NOUN
ijassa-1481	424	9	,	,	PUNCT
ijassa-1481	424	10	it	it	PRON
ijassa-1481	424	11	is	be	AUX
ijassa-1481	424	12	necessary	necessary	ADJ
ijassa-1481	424	13	to	to	PART
ijassa-1481	424	14	ensure	ensure	VERB
ijassa-1481	424	15	data	datum	NOUN
ijassa-1481	424	16	consistency	consistency	NOUN
ijassa-1481	424	17	and	and	CCONJ
ijassa-1481	424	18	avoid	avoid	VERB
ijassa-1481	424	19	possible	possible	ADJ
ijassa-1481	424	20	conflicts	conflict	NOUN
ijassa-1481	424	21	.	.	PUNCT
ijassa-1481	425	1	limited	limited	ADJ
ijassa-1481	425	2	resources	resource	NOUN
ijassa-1481	425	3	:	:	PUNCT
ijassa-1481	425	4	fog	fog	NOUN
ijassa-1481	425	5	nodes	node	NOUN
ijassa-1481	425	6	may	may	AUX
ijassa-1481	425	7	have	have	VERB
ijassa-1481	425	8	limited	limit	VERB
ijassa-1481	425	9	computing	compute	VERB
ijassa-1481	425	10	resources	resource	NOUN
ijassa-1481	425	11	,	,	PUNCT
ijassa-1481	425	12	memory	memory	NOUN
ijassa-1481	425	13	,	,	PUNCT
ijassa-1481	425	14	power	power	NOUN
ijassa-1481	425	15	consumption	consumption	NOUN
ijassa-1481	425	16	and	and	CCONJ
ijassa-1481	425	17	network	network	NOUN
ijassa-1481	425	18	bandwidth	bandwidth	NOUN
ijassa-1481	425	19	.	.	PUNCT
ijassa-1481	426	1	this	this	PRON
ijassa-1481	426	2	can	can	AUX
ijassa-1481	426	3	impact	impact	VERB
ijassa-1481	426	4	system	system	NOUN
ijassa-1481	426	5	reliability	reliability	NOUN
ijassa-1481	426	6	and	and	CCONJ
ijassa-1481	426	7	performance	performance	NOUN
ijassa-1481	426	8	,	,	PUNCT
ijassa-1481	426	9	especially	especially	ADV
ijassa-1481	426	10	when	when	SCONJ
ijassa-1481	426	11	processing	process	VERB
ijassa-1481	426	12	large	large	ADJ
ijassa-1481	426	13	amounts	amount	NOUN
ijassa-1481	426	14	of	of	ADP
ijassa-1481	426	15	data	datum	NOUN
ijassa-1481	426	16	or	or	CCONJ
ijassa-1481	426	17	performing	perform	VERB
ijassa-1481	426	18	complex	complex	ADJ
ijassa-1481	426	19	computations	computation	NOUN
ijassa-1481	426	20	.	.	PUNCT
ijassa-1481	427	1	change	change	NOUN
ijassa-1481	427	2	management	management	NOUN
ijassa-1481	427	3	:	:	PUNCT
ijassa-1481	427	4	in	in	ADP
ijassa-1481	427	5	a	a	DET
ijassa-1481	427	6	fog	fog	NOUN
ijassa-1481	427	7	computing	compute	VERB
ijassa-1481	427	8	environment	environment	NOUN
ijassa-1481	427	9	,	,	PUNCT
ijassa-1481	427	10	changes	change	NOUN
ijassa-1481	427	11	to	to	ADP
ijassa-1481	427	12	the	the	DET
ijassa-1481	427	13	network	network	NOUN
ijassa-1481	427	14	infrastructure	infrastructure	NOUN
ijassa-1481	427	15	,	,	PUNCT
ijassa-1481	427	16	node	node	ADJ
ijassa-1481	427	17	configuration	configuration	NOUN
ijassa-1481	427	18	,	,	PUNCT
ijassa-1481	427	19	or	or	CCONJ
ijassa-1481	427	20	available	available	ADJ
ijassa-1481	427	21	resources	resource	NOUN
ijassa-1481	427	22	may	may	AUX
ijassa-1481	427	23	occur	occur	VERB
ijassa-1481	427	24	.	.	PUNCT
ijassa-1481	428	1	change	change	NOUN
ijassa-1481	428	2	and	and	CCONJ
ijassa-1481	428	3	update	update	NOUN
ijassa-1481	428	4	management	management	NOUN
ijassa-1481	428	5	can	can	AUX
ijassa-1481	428	6	be	be	AUX
ijassa-1481	428	7	complex	complex	ADJ
ijassa-1481	428	8	and	and	CCONJ
ijassa-1481	428	9	require	require	VERB
ijassa-1481	428	10	effective	effective	ADJ
ijassa-1481	428	11	mechanisms	mechanism	NOUN
ijassa-1481	428	12	to	to	PART
ijassa-1481	428	13	minimize	minimize	VERB
ijassa-1481	428	14	potential	potential	ADJ
ijassa-1481	428	15	system	system	NOUN
ijassa-1481	428	16	disruption	disruption	NOUN
ijassa-1481	428	17	and	and	CCONJ
ijassa-1481	428	18	ensure	ensure	VERB
ijassa-1481	428	19	reliability	reliability	NOUN
ijassa-1481	428	20	.	.	PUNCT
ijassa-1481	429	1	fig	fig	NOUN
ijassa-1481	429	2	.	.	PUNCT
ijassa-1481	430	1	8.2	8.2	NUM
ijassa-1481	430	2	.	.	PUNCT
ijassa-1481	431	1	data	datum	NOUN
ijassa-1481	431	2	storage	storage	NOUN
ijassa-1481	431	3	and	and	CCONJ
ijassa-1481	431	4	processing	processing	NOUN
ijassa-1481	431	5	system	system	NOUN
ijassa-1481	431	6	in	in	ADP
ijassa-1481	431	7	a	a	DET
ijassa-1481	431	8	fog	fog	NOUN
ijassa-1481	431	9	environment	environment	NOUN
ijassa-1481	431	10	.	.	PUNCT
ijassa-1481	432	1	however	however	ADV
ijassa-1481	432	2	,	,	PUNCT
ijassa-1481	432	3	modern	modern	ADJ
ijassa-1481	432	4	technologies	technology	NOUN
ijassa-1481	432	5	and	and	CCONJ
ijassa-1481	432	6	development	development	NOUN
ijassa-1481	432	7	techniques	technique	NOUN
ijassa-1481	432	8	can	can	AUX
ijassa-1481	432	9	cope	cope	VERB
ijassa-1481	432	10	with	with	ADP
ijassa-1481	432	11	these	these	DET
ijassa-1481	432	12	challenges	challenge	NOUN
ijassa-1481	432	13	.	.	PUNCT
ijassa-1481	433	1	for	for	ADP
ijassa-1481	433	2	example	example	NOUN
ijassa-1481	433	3	,	,	PUNCT
ijassa-1481	433	4	resource	resource	NOUN
ijassa-1481	433	5	reservation	reservation	NOUN
ijassa-1481	433	6	,	,	PUNCT
ijassa-1481	433	7	disaster	disaster	NOUN
ijassa-1481	433	8	recovery	recovery	NOUN
ijassa-1481	433	9	mechanisms	mechanism	NOUN
ijassa-1481	433	10	,	,	PUNCT
ijassa-1481	433	11	data	data	NOUN
ijassa-1481	433	12	replication	replication	NOUN
ijassa-1481	433	13	,	,	PUNCT
ijassa-1481	433	14	and	and	CCONJ
ijassa-1481	433	15	cryptographic	cryptographic	ADJ
ijassa-1481	433	16	techniques	technique	NOUN
ijassa-1481	433	17	can	can	AUX
ijassa-1481	433	18	improve	improve	VERB
ijassa-1481	433	19	the	the	DET
ijassa-1481	433	20	reliability	reliability	NOUN
ijassa-1481	433	21	of	of	ADP
ijassa-1481	433	22	data	datum	NOUN
ijassa-1481	433	23	processing	processing	NOUN
ijassa-1481	433	24	on	on	ADP
ijassa-1481	433	25	fog	fog	NOUN
ijassa-1481	433	26	nodes	node	NOUN
ijassa-1481	433	27	.	.	PUNCT
ijassa-1481	434	1	9	9	X
ijassa-1481	434	2	.	.	X
ijassa-1481	434	3	modeling	modeling	NOUN
ijassa-1481	434	4	of	of	ADP
ijassa-1481	434	5	the	the	DET
ijassa-1481	434	6	proposed	propose	VERB
ijassa-1481	434	7	system	system	NOUN
ijassa-1481	434	8	for	for	ADP
ijassa-1481	434	9	reliable	reliable	ADJ
ijassa-1481	434	10	data	datum	NOUN
ijassa-1481	434	11	storage	storage	NOUN
ijassa-1481	434	12	and	and	CCONJ
ijassa-1481	434	13	processing	processing	NOUN
ijassa-1481	434	14	in	in	ADP
ijassa-1481	434	15	fog	fog	PROPN
ijassa-1481	434	16	environment	environment	NOUN
ijassa-1481	434	17	to	to	PART
ijassa-1481	434	18	validate	validate	VERB
ijassa-1481	434	19	our	our	PRON
ijassa-1481	434	20	theoretical	theoretical	ADJ
ijassa-1481	434	21	conclusions	conclusion	NOUN
ijassa-1481	434	22	about	about	ADP
ijassa-1481	434	23	the	the	DET
ijassa-1481	434	24	reliability	reliability	NOUN
ijassa-1481	434	25	of	of	ADP
ijassa-1481	434	26	the	the	DET
ijassa-1481	434	27	proposed	propose	VERB
ijassa-1481	434	28	system	system	NOUN
ijassa-1481	434	29	,	,	PUNCT
ijassa-1481	434	30	we	we	PRON
ijassa-1481	434	31	have	have	AUX
ijassa-1481	434	32	performed	perform	VERB
ijassa-1481	434	33	monte	monte	PROPN
ijassa-1481	434	34	carlo	carlo	PROPN
ijassa-1481	434	35	simulation	simulation	NOUN
ijassa-1481	434	36	of	of	ADP
ijassa-1481	434	37	the	the	DET
ijassa-1481	434	38	developed	develop	VERB
ijassa-1481	434	39	system	system	NOUN
ijassa-1481	434	40	.	.	PUNCT
ijassa-1481	435	1	in	in	ADP
ijassa-1481	435	2	a	a	DET
ijassa-1481	435	3	foggy	foggy	ADJ
ijassa-1481	435	4	system	system	NOUN
ijassa-1481	435	5	,	,	PUNCT
ijassa-1481	435	6	any	any	DET
ijassa-1481	435	7	large	large	ADJ
ijassa-1481	435	8	number	number	NOUN
ijassa-1481	435	9	of	of	ADP
ijassa-1481	435	10	devices	device	NOUN
ijassa-1481	435	11	can	can	AUX
ijassa-1481	435	12	be	be	AUX
ijassa-1481	435	13	disconnected	disconnect	VERB
ijassa-1481	435	14	from	from	ADP
ijassa-1481	435	15	the	the	DET
ijassa-1481	435	16	access	access	NOUN
ijassa-1481	435	17	point	point	NOUN
ijassa-1481	435	18	because	because	SCONJ
ijassa-1481	435	19	it	it	PRON
ijassa-1481	435	20	has	have	AUX
ijassa-1481	435	21	physically	physically	ADV
ijassa-1481	435	22	moved	move	VERB
ijassa-1481	435	23	and	and	CCONJ
ijassa-1481	435	24	no	no	DET
ijassa-1481	435	25	signal	signal	NOUN
ijassa-1481	435	26	reaches	reach	VERB
ijassa-1481	435	27	it	it	PRON
ijassa-1481	435	28	.	.	PUNCT
ijassa-1481	436	1	also	also	ADV
ijassa-1481	436	2	,	,	PUNCT
ijassa-1481	436	3	it	it	PRON
ijassa-1481	436	4	may	may	AUX
ijassa-1481	436	5	become	become	VERB
ijassa-1481	436	6	inaccessible	inaccessible	ADJ
ijassa-1481	436	7	due	due	ADJ
ijassa-1481	436	8	to	to	ADP
ijassa-1481	436	9	battery	battery	NOUN
ijassa-1481	436	10	drain	drain	NOUN
ijassa-1481	436	11	and	and	CCONJ
ijassa-1481	436	12	device	device	NOUN
ijassa-1481	436	13	disconnection	disconnection	NOUN
ijassa-1481	436	14	.	.	PUNCT
ijassa-1481	437	1	the	the	DET
ijassa-1481	437	2	proposed	propose	VERB
ijassa-1481	437	3	system	system	NOUN
ijassa-1481	437	4	allows	allow	VERB
ijassa-1481	437	5	to	to	PART
ijassa-1481	437	6	build	build	VERB
ijassa-1481	437	7	a	a	DET
ijassa-1481	437	8	system	system	NOUN
ijassa-1481	437	9	with	with	ADP
ijassa-1481	437	10	a	a	DET
ijassa-1481	437	11	small	small	ADJ
ijassa-1481	437	12	redundancy	redundancy	NOUN
ijassa-1481	437	13	,	,	PUNCT
ijassa-1481	437	14	designed	design	VERB
ijassa-1481	437	15	for	for	ADP
ijassa-1481	437	16	unforeseen	unforeseen	ADJ
ijassa-1481	437	17	failures	failure	NOUN
ijassa-1481	437	18	.	.	PUNCT
ijassa-1481	438	1	for	for	ADP
ijassa-1481	438	2	this	this	DET
ijassa-1481	438	3	purpose	purpose	NOUN
ijassa-1481	438	4	,	,	PUNCT
ijassa-1481	438	5	let	let	VERB
ijassa-1481	438	6	’s	’s	PRON
ijassa-1481	438	7	build	build	VERB
ijassa-1481	438	8	a	a	DET
ijassa-1481	438	9	mathematical	mathematical	ADJ
ijassa-1481	438	10	model	model	NOUN
ijassa-1481	438	11	.	.	PUNCT
ijassa-1481	439	1	the	the	DET
ijassa-1481	439	2	developed	develop	VERB
ijassa-1481	439	3	model	model	NOUN
ijassa-1481	439	4	of	of	ADP
ijassa-1481	439	5	data	datum	NOUN
ijassa-1481	439	6	storage	storage	NOUN
ijassa-1481	439	7	and	and	CCONJ
ijassa-1481	439	8	processing	processing	NOUN
ijassa-1481	439	9	in	in	ADP
ijassa-1481	439	10	a	a	DET
ijassa-1481	439	11	fog	fog	NOUN
ijassa-1481	439	12	environment	environment	NOUN
ijassa-1481	439	13	consists	consist	VERB
ijassa-1481	439	14	of	of	ADP
ijassa-1481	439	15	k	k	PROPN
ijassa-1481	439	16	working	working	NOUN
ijassa-1481	439	17	devices	device	NOUN
ijassa-1481	439	18	and	and	CCONJ
ijassa-1481	439	19	r	r	NOUN
ijassa-1481	439	20	control	control	NOUN
ijassa-1481	439	21	devices	device	NOUN
ijassa-1481	439	22	,	,	PUNCT
ijassa-1481	439	23	to	to	PART
ijassa-1481	439	24	increase	increase	VERB
ijassa-1481	439	25	reliability	reliability	NOUN
ijassa-1481	439	26	with	with	ADP
ijassa-1481	439	27	a	a	DET
ijassa-1481	439	28	slight	slight	ADJ
ijassa-1481	439	29	increase	increase	NOUN
ijassa-1481	439	30	in	in	ADP
ijassa-1481	439	31	redundancy	redundancy	NOUN
ijassa-1481	439	32	.	.	PUNCT
ijassa-1481	440	1	in	in	ADP
ijassa-1481	440	2	case	case	NOUN
ijassa-1481	440	3	of	of	ADP
ijassa-1481	440	4	failure	failure	NOUN
ijassa-1481	440	5	or	or	CCONJ
ijassa-1481	440	6	unavailability	unavailability	NOUN
ijassa-1481	440	7	of	of	ADP
ijassa-1481	440	8	working	working	NOUN
ijassa-1481	440	9	devices	device	NOUN
ijassa-1481	440	10	,	,	PUNCT
ijassa-1481	440	11	they	they	PRON
ijassa-1481	440	12	can	can	AUX
ijassa-1481	440	13	be	be	AUX
ijassa-1481	440	14	replaced	replace	VERB
ijassa-1481	440	15	by	by	ADP
ijassa-1481	440	16	control	control	NOUN
ijassa-1481	440	17	devices	device	NOUN
ijassa-1481	440	18	and	and	CCONJ
ijassa-1481	440	19	vice	vice	NOUN
ijassa-1481	440	20	versa	versa	ADV
ijassa-1481	440	21	.	.	PUNCT
ijassa-1481	441	1	the	the	DET
ijassa-1481	441	2	requirement	requirement	NOUN
ijassa-1481	441	3	for	for	ADP
ijassa-1481	441	4	the	the	DET
ijassa-1481	441	5	computational	computational	ADJ
ijassa-1481	441	6	scheme	scheme	NOUN
ijassa-1481	441	7	to	to	PART
ijassa-1481	441	8	provide	provide	VERB
ijassa-1481	441	9	guaranteed	guarantee	VERB
ijassa-1481	441	10	protection	protection	NOUN
ijassa-1481	441	11	against	against	ADP
ijassa-1481	441	12	the	the	DET
ijassa-1481	441	13	issuance	issuance	NOUN
ijassa-1481	441	14	of	of	ADP
ijassa-1481	441	15	unreliable	unreliable	ADJ
ijassa-1481	441	16	results	result	NOUN
ijassa-1481	441	17	determines	determine	VERB
ijassa-1481	441	18	the	the	DET
ijassa-1481	441	19	need	need	NOUN
ijassa-1481	441	20	to	to	PART
ijassa-1481	441	21	maintain	maintain	VERB
ijassa-1481	441	22	in	in	ADP
ijassa-1481	441	23	an	an	DET
ijassa-1481	441	24	operable	operable	ADJ
ijassa-1481	441	25	state	state	NOUN
ijassa-1481	441	26	kmin	kmin	NOUN
ijassa-1481	441	27	working	work	VERB
ijassa-1481	441	28	and	and	CCONJ
ijassa-1481	441	29	at	at	ADV
ijassa-1481	441	30	least	least	ADV
ijassa-1481	441	31	one	one	NUM
ijassa-1481	441	32	control	control	NOUN
ijassa-1481	441	33	device	device	NOUN
ijassa-1481	441	34	.	.	PUNCT
ijassa-1481	442	1	thus	thus	ADV
ijassa-1481	442	2	,	,	PUNCT
ijassa-1481	442	3	the	the	DET
ijassa-1481	442	4	copyright	copyright	NOUN
ijassa-1481	442	5	©	©	PROPN
ijassa-1481	442	6	2024	2024	NUM
ijassa-1481	442	7	assa	assa	NOUN
ijassa-1481	442	8	.	.	PUNCT
ijassa-1481	443	1	adv	adv	PROPN
ijassa-1481	443	2	syst	syst	PROPN
ijassa-1481	443	3	sci	sci	PROPN
ijassa-1481	443	4	appl	appl	PROPN
ijassa-1481	443	5	(	(	PUNCT
ijassa-1481	443	6	2024	2024	NUM
ijassa-1481	443	7	)	)	PUNCT
ijassa-1481	443	8	data	datum	NOUN
ijassa-1481	443	9	storage	storage	NOUN
ijassa-1481	443	10	with	with	ADP
ijassa-1481	443	11	increased	increase	VERB
ijassa-1481	443	12	survivability	survivability	NOUN
ijassa-1481	443	13	and	and	CCONJ
ijassa-1481	443	14	reliability	reliability	NOUN
ijassa-1481	443	15	...	...	PUNCT
ijassa-1481	443	16	183	183	NUM
ijassa-1481	443	17	reliable	reliable	ADJ
ijassa-1481	443	18	structure	structure	NOUN
ijassa-1481	443	19	of	of	ADP
ijassa-1481	443	20	the	the	DET
ijassa-1481	443	21	computational	computational	ADJ
ijassa-1481	443	22	model	model	NOUN
ijassa-1481	443	23	will	will	AUX
ijassa-1481	443	24	correspond	correspond	VERB
ijassa-1481	443	25	to	to	ADP
ijassa-1481	443	26	the	the	DET
ijassa-1481	443	27	known	know	VERB
ijassa-1481	443	28	method	method	NOUN
ijassa-1481	443	29	of	of	ADP
ijassa-1481	443	30	sliding	slide	VERB
ijassa-1481	443	31	redundancy	redundancy	NOUN
ijassa-1481	443	32	with	with	ADP
ijassa-1481	443	33	the	the	DET
ijassa-1481	443	34	loaded	loaded	ADJ
ijassa-1481	443	35	state	state	NOUN
ijassa-1481	443	36	of	of	ADP
ijassa-1481	443	37	redundant	redundant	ADJ
ijassa-1481	443	38	elements	element	NOUN
ijassa-1481	443	39	.	.	PUNCT
ijassa-1481	444	1	when	when	SCONJ
ijassa-1481	444	2	carrying	carry	VERB
ijassa-1481	444	3	out	out	ADP
ijassa-1481	444	4	calculations	calculation	NOUN
ijassa-1481	444	5	on	on	ADP
ijassa-1481	444	6	fog	fog	NOUN
ijassa-1481	444	7	devices	device	NOUN
ijassa-1481	444	8	each	each	PRON
ijassa-1481	444	9	of	of	ADP
ijassa-1481	444	10	the	the	DET
ijassa-1481	444	11	above	above	ADV
ijassa-1481	444	12	-	-	PUNCT
ijassa-1481	444	13	mentioned	mention	VERB
ijassa-1481	444	14	possible	possible	ADJ
ijassa-1481	444	15	system	system	NOUN
ijassa-1481	444	16	failures	failure	NOUN
ijassa-1481	444	17	can	can	AUX
ijassa-1481	444	18	occur	occur	VERB
ijassa-1481	444	19	both	both	CCONJ
ijassa-1481	444	20	separately	separately	ADV
ijassa-1481	444	21	and	and	CCONJ
ijassa-1481	444	22	jointly	jointly	ADV
ijassa-1481	444	23	.	.	PUNCT
ijassa-1481	445	1	we	we	PRON
ijassa-1481	445	2	have	have	AUX
ijassa-1481	445	3	introduced	introduce	VERB
ijassa-1481	445	4	a	a	DET
ijassa-1481	445	5	single	single	ADJ
ijassa-1481	445	6	-	-	PUNCT
ijassa-1481	445	7	tier	tier	NOUN
ijassa-1481	445	8	architecture	architecture	NOUN
ijassa-1481	445	9	for	for	ADP
ijassa-1481	445	10	data	data	NOUN
ijassa-1481	445	11	processing	processing	NOUN
ijassa-1481	445	12	and	and	CCONJ
ijassa-1481	445	13	storage	storage	NOUN
ijassa-1481	445	14	on	on	ADP
ijassa-1481	445	15	fog	fog	NOUN
ijassa-1481	445	16	devices	device	NOUN
ijassa-1481	445	17	,	,	PUNCT
ijassa-1481	445	18	offering	offer	VERB
ijassa-1481	445	19	simplified	simplify	VERB
ijassa-1481	445	20	frameworks	framework	NOUN
ijassa-1481	445	21	for	for	ADP
ijassa-1481	445	22	crafting	craft	VERB
ijassa-1481	445	23	data	datum	NOUN
ijassa-1481	445	24	processing	processing	NOUN
ijassa-1481	445	25	strategies	strategy	NOUN
ijassa-1481	445	26	.	.	PUNCT
ijassa-1481	446	1	the	the	DET
ijassa-1481	446	2	assembly	assembly	NOUN
ijassa-1481	446	3	of	of	ADP
ijassa-1481	446	4	data	datum	NOUN
ijassa-1481	446	5	storage	storage	NOUN
ijassa-1481	446	6	and	and	CCONJ
ijassa-1481	446	7	processing	processing	NOUN
ijassa-1481	446	8	systems	system	NOUN
ijassa-1481	446	9	can	can	AUX
ijassa-1481	446	10	be	be	AUX
ijassa-1481	446	11	accomplished	accomplish	VERB
ijassa-1481	446	12	through	through	ADP
ijassa-1481	446	13	a	a	DET
ijassa-1481	446	14	range	range	NOUN
ijassa-1481	446	15	of	of	ADP
ijassa-1481	446	16	module	module	NOUN
ijassa-1481	446	17	counts	count	NOUN
ijassa-1481	446	18	.	.	PUNCT
ijassa-1481	447	1	in	in	ADP
ijassa-1481	447	2	this	this	DET
ijassa-1481	447	3	system	system	NOUN
ijassa-1481	447	4	,	,	PUNCT
ijassa-1481	447	5	there	there	PRON
ijassa-1481	447	6	are	be	VERB
ijassa-1481	447	7	k	k	PROPN
ijassa-1481	447	8	operational	operational	ADJ
ijassa-1481	447	9	bases	basis	NOUN
ijassa-1481	447	10	and	and	CCONJ
ijassa-1481	447	11	r	r	NOUN
ijassa-1481	447	12	control	control	NOUN
ijassa-1481	447	13	bases	basis	NOUN
ijassa-1481	447	14	,	,	PUNCT
ijassa-1481	447	15	summing	sum	VERB
ijassa-1481	447	16	up	up	ADP
ijassa-1481	447	17	to	to	ADP
ijassa-1481	447	18	n	n	NOUN
ijassa-1481	447	19	=	=	SYM
ijassa-1481	447	20	k	k	PROPN
ijassa-1481	448	1	+	+	CCONJ
ijassa-1481	448	2	r.	r.	PROPN
ijassa-1481	448	3	establishing	establish	VERB
ijassa-1481	448	4	the	the	DET
ijassa-1481	448	5	data	datum	NOUN
ijassa-1481	448	6	processing	processing	NOUN
ijassa-1481	448	7	system	system	NOUN
ijassa-1481	448	8	is	be	AUX
ijassa-1481	448	9	achievable	achievable	ADJ
ijassa-1481	448	10	through	through	ADP
ijassa-1481	448	11	complete	complete	ADJ
ijassa-1481	448	12	replication	replication	NOUN
ijassa-1481	448	13	of	of	ADP
ijassa-1481	448	14	the	the	DET
ijassa-1481	448	15	operational	operational	ADJ
ijassa-1481	448	16	range	range	NOUN
ijassa-1481	448	17	(	(	PUNCT
ijassa-1481	448	18	k	k	NOUN
ijassa-1481	448	19	=	=	SYM
ijassa-1481	448	20	r	r	NOUN
ijassa-1481	448	21	)	)	PUNCT
ijassa-1481	448	22	or	or	CCONJ
ijassa-1481	448	23	through	through	ADP
ijassa-1481	448	24	partial	partial	ADJ
ijassa-1481	448	25	replication	replication	NOUN
ijassa-1481	448	26	(	(	PUNCT
ijassa-1481	448	27	k	k	X
ijassa-1481	448	28	>	>	X
ijassa-1481	448	29	r	r	NOUN
ijassa-1481	448	30	)	)	PUNCT
ijassa-1481	448	31	.	.	PUNCT
ijassa-1481	449	1	we	we	PRON
ijassa-1481	449	2	will	will	AUX
ijassa-1481	449	3	determine	determine	VERB
ijassa-1481	449	4	the	the	DET
ijassa-1481	449	5	overall	overall	ADJ
ijassa-1481	449	6	reliability	reliability	NOUN
ijassa-1481	449	7	of	of	ADP
ijassa-1481	449	8	the	the	DET
ijassa-1481	449	9	information	information	NOUN
ijassa-1481	449	10	processing	processing	NOUN
ijassa-1481	449	11	and	and	CCONJ
ijassa-1481	449	12	storage	storage	NOUN
ijassa-1481	449	13	design	design	NOUN
ijassa-1481	449	14	by	by	ADP
ijassa-1481	449	15	employing	employ	VERB
ijassa-1481	449	16	rns	rn	NOUN
ijassa-1481	449	17	for	for	ADP
ijassa-1481	449	18	distributed	distribute	VERB
ijassa-1481	449	19	data	datum	NOUN
ijassa-1481	449	20	storage	storage	NOUN
ijassa-1481	449	21	and	and	CCONJ
ijassa-1481	449	22	processing	processing	NOUN
ijassa-1481	449	23	.	.	PUNCT
ijassa-1481	450	1	additionally	additionally	ADV
ijassa-1481	450	2	,	,	PUNCT
ijassa-1481	450	3	we	we	PRON
ijassa-1481	450	4	will	will	AUX
ijassa-1481	450	5	assess	assess	VERB
ijassa-1481	450	6	the	the	DET
ijassa-1481	450	7	available	available	ADJ
ijassa-1481	450	8	space	space	NOUN
ijassa-1481	450	9	across	across	ADP
ijassa-1481	450	10	diverse	diverse	ADJ
ijassa-1481	450	11	system	system	NOUN
ijassa-1481	450	12	configurations	configuration	NOUN
ijassa-1481	450	13	.	.	PUNCT
ijassa-1481	451	1	we	we	PRON
ijassa-1481	451	2	will	will	AUX
ijassa-1481	451	3	calculate	calculate	VERB
ijassa-1481	451	4	the	the	DET
ijassa-1481	451	5	reliability	reliability	NOUN
ijassa-1481	451	6	of	of	ADP
ijassa-1481	451	7	the	the	DET
ijassa-1481	451	8	system	system	NOUN
ijassa-1481	451	9	by	by	ADP
ijassa-1481	451	10	the	the	DET
ijassa-1481	451	11	following	follow	VERB
ijassa-1481	451	12	construction	construction	NOUN
ijassa-1481	451	13	parameters	parameter	NOUN
ijassa-1481	451	14	:	:	PUNCT
ijassa-1481	452	1	1	1	X
ijassa-1481	452	2	.	.	X
ijassa-1481	452	3	the	the	DET
ijassa-1481	452	4	system	system	NOUN
ijassa-1481	452	5	parameters	parameter	NOUN
ijassa-1481	452	6	were	be	AUX
ijassa-1481	452	7	randomly	randomly	ADV
ijassa-1481	452	8	selected	select	VERB
ijassa-1481	452	9	as	as	SCONJ
ijassa-1481	452	10	follows	follow	VERB
ijassa-1481	452	11	:	:	PUNCT
ijassa-1481	452	12	k	k	X
ijassa-1481	452	13	=	=	SYM
ijassa-1481	452	14	3	3	X
ijassa-1481	452	15	.	.	PUNCT
ijassa-1481	452	16	.	.	PUNCT
ijassa-1481	452	17	.	.	PUNCT
ijassa-1481	453	1	26	26	NUM
ijassa-1481	453	2	,	,	PUNCT
ijassa-1481	453	3	where	where	SCONJ
ijassa-1481	453	4	r	r	NOUN
ijassa-1481	453	5	varies	vary	VERB
ijassa-1481	453	6	from	from	ADP
ijassa-1481	453	7	1	1	NUM
ijassa-1481	453	8	to	to	ADP
ijassa-1481	453	9	19	19	NUM
ijassa-1481	453	10	.	.	NOUN
ijassa-1481	454	1	2	2	NUM
ijassa-1481	454	2	.	.	X
ijassa-1481	455	1	the	the	DET
ijassa-1481	455	2	probability	probability	NOUN
ijassa-1481	455	3	of	of	ADP
ijassa-1481	455	4	complete	complete	ADJ
ijassa-1481	455	5	failure	failure	NOUN
ijassa-1481	455	6	of	of	ADP
ijassa-1481	455	7	the	the	DET
ijassa-1481	455	8	data	datum	NOUN
ijassa-1481	455	9	processing	processing	NOUN
ijassa-1481	455	10	and	and	CCONJ
ijassa-1481	455	11	storage	storage	NOUN
ijassa-1481	455	12	system	system	NOUN
ijassa-1481	455	13	was	be	AUX
ijassa-1481	455	14	calculated	calculate	VERB
ijassa-1481	455	15	by	by	ADP
ijassa-1481	455	16	the	the	DET
ijassa-1481	455	17	formula	formula	NOUN
ijassa-1481	455	18	p0	p0	NOUN
ijassa-1481	456	1	=	=	PUNCT
ijassa-1481	456	2	n∑	n∑	NOUN
ijassa-1481	456	3	i	i	PRON
ijassa-1481	456	4	=	=	NOUN
ijassa-1481	456	5	n−k+1	n−k+1	VERB
ijassa-1481	456	6	ci	ci	NOUN
ijassa-1481	457	1	np	np	INTJ
ijassa-1481	457	2	i	i	INTJ
ijassa-1481	457	3	dq	dq	VERB
ijassa-1481	457	4	n−1	n−1	PROPN
ijassa-1481	458	1	where	where	SCONJ
ijassa-1481	458	2	q	q	NOUN
ijassa-1481	458	3	=	=	SYM
ijassa-1481	458	4	1−	1−	NUM
ijassa-1481	458	5	pd	pd	PROPN
ijassa-1481	458	6	,	,	PUNCT
ijassa-1481	458	7	pd	pd	PROPN
ijassa-1481	458	8	–	–	PUNCT
ijassa-1481	458	9	a	a	DET
ijassa-1481	458	10	device	device	NOUN
ijassa-1481	458	11	of	of	ADP
ijassa-1481	458	12	size	size	NOUN
ijassa-1481	458	13	3015	3015	NUM
ijassa-1481	458	14	was	be	AUX
ijassa-1481	458	15	randomly	randomly	ADV
ijassa-1481	458	16	selected	select	VERB
ijassa-1481	458	17	from	from	ADP
ijassa-1481	458	18	the	the	DET
ijassa-1481	458	19	set	set	NOUN
ijassa-1481	458	20	of	of	ADP
ijassa-1481	458	21	failures	failure	NOUN
ijassa-1481	458	22	.	.	PUNCT
ijassa-1481	459	1	the	the	DET
ijassa-1481	459	2	monte	monte	PROPN
ijassa-1481	459	3	carlo	carlo	PROPN
ijassa-1481	459	4	method	method	NOUN
ijassa-1481	459	5	was	be	AUX
ijassa-1481	459	6	used	use	VERB
ijassa-1481	459	7	to	to	PART
ijassa-1481	459	8	calculate	calculate	VERB
ijassa-1481	459	9	for	for	ADP
ijassa-1481	459	10	10,000	10,000	NUM
ijassa-1481	459	11	repetitions	repetition	NOUN
ijassa-1481	459	12	for	for	ADP
ijassa-1481	459	13	each	each	PRON
ijassa-1481	459	14	of	of	ADP
ijassa-1481	459	15	the	the	DET
ijassa-1481	459	16	random	random	ADJ
ijassa-1481	459	17	failures	failure	NOUN
ijassa-1481	459	18	from	from	ADP
ijassa-1481	459	19	the	the	DET
ijassa-1481	459	20	set	set	NOUN
ijassa-1481	459	21	.	.	PUNCT
ijassa-1481	460	1	the	the	DET
ijassa-1481	460	2	simulation	simulation	NOUN
ijassa-1481	460	3	results	result	NOUN
ijassa-1481	460	4	are	be	AUX
ijassa-1481	460	5	shown	show	VERB
ijassa-1481	460	6	in	in	ADP
ijassa-1481	460	7	fig	fig	NOUN
ijassa-1481	460	8	.	.	PUNCT
ijassa-1481	461	1	9.3	9.3	NUM
ijassa-1481	461	2	,	,	PUNCT
ijassa-1481	461	3	9.4	9.4	NUM
ijassa-1481	461	4	,	,	PUNCT
ijassa-1481	461	5	9.5	9.5	NUM
ijassa-1481	461	6	.	.	PUNCT
ijassa-1481	461	7	fig	fig	NOUN
ijassa-1481	461	8	.	.	PUNCT
ijassa-1481	462	1	9.3	9.3	NUM
ijassa-1481	462	2	.	.	PUNCT
ijassa-1481	463	1	failure	failure	NOUN
ijassa-1481	463	2	distribution	distribution	NOUN
ijassa-1481	463	3	of	of	ADP
ijassa-1481	463	4	the	the	DET
ijassa-1481	463	5	system	system	NOUN
ijassa-1481	463	6	under	under	ADP
ijassa-1481	463	7	parameters	parameter	NOUN
ijassa-1481	463	8	r	r	NOUN
ijassa-1481	463	9	=	=	SYM
ijassa-1481	463	10	3	3	NUM
ijassa-1481	463	11	,	,	PUNCT
ijassa-1481	463	12	k	k	NOUN
ijassa-1481	464	1	=	=	PUNCT
ijassa-1481	464	2	3	3	NUM
ijassa-1481	464	3	the	the	DET
ijassa-1481	464	4	failure	failure	NOUN
ijassa-1481	464	5	probability	probability	NOUN
ijassa-1481	464	6	distribution	distribution	NOUN
ijassa-1481	464	7	was	be	AUX
ijassa-1481	464	8	then	then	ADV
ijassa-1481	464	9	plotted	plot	VERB
ijassa-1481	464	10	and	and	CCONJ
ijassa-1481	464	11	compared	compare	VERB
ijassa-1481	464	12	with	with	ADP
ijassa-1481	464	13	the	the	DET
ijassa-1481	464	14	gamma	gamma	NOUN
ijassa-1481	464	15	probability	probability	NOUN
ijassa-1481	464	16	distribution	distribution	NOUN
ijassa-1481	464	17	,	,	PUNCT
ijassa-1481	464	18	and	and	CCONJ
ijassa-1481	464	19	the	the	DET
ijassa-1481	464	20	results	result	NOUN
ijassa-1481	464	21	are	be	AUX
ijassa-1481	464	22	shown	show	VERB
ijassa-1481	464	23	in	in	ADP
ijassa-1481	464	24	figure	figure	NOUN
ijassa-1481	464	25	4	4	NUM
ijassa-1481	464	26	.	.	NOUN
ijassa-1481	464	27	10	10	NUM
ijassa-1481	464	28	.	.	PUNCT
ijassa-1481	465	1	conclusion	conclusion	VERB
ijassa-1481	465	2	the	the	DET
ijassa-1481	465	3	principles	principle	NOUN
ijassa-1481	465	4	of	of	ADP
ijassa-1481	465	5	building	build	VERB
ijassa-1481	465	6	reliable	reliable	ADJ
ijassa-1481	465	7	data	datum	NOUN
ijassa-1481	465	8	storage	storage	NOUN
ijassa-1481	465	9	and	and	CCONJ
ijassa-1481	465	10	processing	processing	NOUN
ijassa-1481	465	11	systems	system	NOUN
ijassa-1481	465	12	in	in	ADP
ijassa-1481	465	13	cloud	cloud	NOUN
ijassa-1481	465	14	-	-	PUNCT
ijassa-1481	465	15	fog	fog	NOUN
ijassa-1481	465	16	environment	environment	NOUN
ijassa-1481	465	17	were	be	AUX
ijassa-1481	465	18	considered	consider	VERB
ijassa-1481	465	19	in	in	ADP
ijassa-1481	465	20	the	the	DET
ijassa-1481	465	21	article	article	NOUN
ijassa-1481	465	22	.	.	PUNCT
ijassa-1481	466	1	the	the	DET
ijassa-1481	466	2	factors	factor	NOUN
ijassa-1481	466	3	affecting	affect	VERB
ijassa-1481	466	4	the	the	DET
ijassa-1481	466	5	reliability	reliability	NOUN
ijassa-1481	466	6	and	and	CCONJ
ijassa-1481	466	7	survivability	survivability	NOUN
ijassa-1481	466	8	of	of	ADP
ijassa-1481	466	9	systems	system	NOUN
ijassa-1481	466	10	have	have	AUX
ijassa-1481	466	11	been	be	AUX
ijassa-1481	466	12	analyzed	analyze	VERB
ijassa-1481	466	13	and	and	CCONJ
ijassa-1481	466	14	the	the	DET
ijassa-1481	466	15	main	main	ADJ
ijassa-1481	466	16	types	type	NOUN
ijassa-1481	466	17	of	of	ADP
ijassa-1481	466	18	failures	failure	NOUN
ijassa-1481	466	19	have	have	AUX
ijassa-1481	466	20	been	be	AUX
ijassa-1481	466	21	copyright	copyright	NOUN
ijassa-1481	466	22	©	©	PROPN
ijassa-1481	466	23	2024	2024	NUM
ijassa-1481	466	24	assa	assa	NOUN
ijassa-1481	466	25	.	.	PUNCT
ijassa-1481	467	1	adv	adv	PROPN
ijassa-1481	467	2	syst	syst	PROPN
ijassa-1481	467	3	sci	sci	PROPN
ijassa-1481	467	4	appl	appl	PROPN
ijassa-1481	467	5	(	(	PUNCT
ijassa-1481	467	6	2024	2024	NUM
ijassa-1481	467	7	)	)	PUNCT
ijassa-1481	467	8	184	184	NUM
ijassa-1481	467	9	n.	n.	NOUN
ijassa-1481	467	10	kucherov	kucherov	PROPN
ijassa-1481	467	11	,	,	PUNCT
ijassa-1481	467	12	m.	m.	NOUN
ijassa-1481	467	13	babenko	babenko	PROPN
ijassa-1481	467	14	,	,	PUNCT
ijassa-1481	467	15	e.	e.	PROPN
ijassa-1481	467	16	shiriaev	shiriaev	PROPN
ijassa-1481	467	17	,	,	PUNCT
ijassa-1481	467	18	n.v	n.v	PROPN
ijassa-1481	467	19	.	.	PROPN
ijassa-1481	467	20	hung	hung	PROPN
ijassa-1481	467	21	fig	fig	NOUN
ijassa-1481	467	22	.	.	PUNCT
ijassa-1481	468	1	9.4	9.4	NUM
ijassa-1481	468	2	.	.	PUNCT
ijassa-1481	469	1	failure	failure	NOUN
ijassa-1481	469	2	distribution	distribution	NOUN
ijassa-1481	469	3	of	of	ADP
ijassa-1481	469	4	the	the	DET
ijassa-1481	469	5	system	system	NOUN
ijassa-1481	469	6	under	under	ADP
ijassa-1481	469	7	parameters	parameter	NOUN
ijassa-1481	469	8	r	r	NOUN
ijassa-1481	469	9	=	=	SYM
ijassa-1481	469	10	5	5	NUM
ijassa-1481	469	11	.	.	PUNCT
ijassa-1481	469	12	.	.	PUNCT
ijassa-1481	470	1	.	.	PUNCT
ijassa-1481	471	1	7	7	NUM
ijassa-1481	471	2	,	,	PUNCT
ijassa-1481	471	3	k	k	NOUN
ijassa-1481	471	4	=	=	NOUN
ijassa-1481	471	5	1	1	X
ijassa-1481	471	6	.	.	PUNCT
ijassa-1481	471	7	.	.	PUNCT
ijassa-1481	471	8	.	.	PUNCT
ijassa-1481	472	1	5	5	NUM
ijassa-1481	472	2	fig	fig	NOUN
ijassa-1481	472	3	.	.	PUNCT
ijassa-1481	473	1	9.5	9.5	NUM
ijassa-1481	473	2	.	.	PUNCT
ijassa-1481	474	1	failure	failure	NOUN
ijassa-1481	474	2	distribution	distribution	NOUN
ijassa-1481	474	3	of	of	ADP
ijassa-1481	474	4	the	the	DET
ijassa-1481	474	5	system	system	NOUN
ijassa-1481	474	6	under	under	ADP
ijassa-1481	474	7	parametersr	parametersr	ADJ
ijassa-1481	474	8	=	=	PROPN
ijassa-1481	474	9	19	19	NUM
ijassa-1481	474	10	.	.	PUNCT
ijassa-1481	474	11	.	.	PUNCT
ijassa-1481	474	12	.	.	PUNCT
ijassa-1481	475	1	26	26	NUM
ijassa-1481	475	2	,	,	PUNCT
ijassa-1481	475	3	k	k	PROPN
ijassa-1481	475	4	=	=	PUNCT
ijassa-1481	475	5	15	15	NUM
ijassa-1481	475	6	.	.	PUNCT
ijassa-1481	475	7	.	.	PUNCT
ijassa-1481	475	8	.	.	PUNCT
ijassa-1481	476	1	19	19	NUM
ijassa-1481	476	2	fig	fig	NOUN
ijassa-1481	476	3	.	.	PUNCT
ijassa-1481	477	1	9.6	9.6	NUM
ijassa-1481	477	2	.	.	PUNCT
ijassa-1481	478	1	probability	probability	NOUN
ijassa-1481	478	2	distribution	distribution	NOUN
ijassa-1481	478	3	,	,	PUNCT
ijassa-1481	478	4	for	for	ADP
ijassa-1481	478	5	system	system	NOUN
ijassa-1481	478	6	configurations	configuration	NOUN
ijassa-1481	478	7	r	r	NOUN
ijassa-1481	478	8	=	=	SYM
ijassa-1481	478	9	3	3	NUM
ijassa-1481	478	10	,	,	PUNCT
ijassa-1481	478	11	k	k	NOUN
ijassa-1481	478	12	=	=	SYM
ijassa-1481	478	13	3	3	NUM
ijassa-1481	478	14	given	give	VERB
ijassa-1481	478	15	:	:	PUNCT
ijassa-1481	478	16	sudden	sudden	ADJ
ijassa-1481	478	17	,	,	PUNCT
ijassa-1481	478	18	gradual	gradual	ADJ
ijassa-1481	478	19	,	,	PUNCT
ijassa-1481	478	20	operational	operational	ADJ
ijassa-1481	478	21	.	.	PUNCT
ijassa-1481	479	1	the	the	DET
ijassa-1481	479	2	principles	principle	NOUN
ijassa-1481	479	3	of	of	ADP
ijassa-1481	479	4	introducing	introduce	VERB
ijassa-1481	479	5	information	information	NOUN
ijassa-1481	479	6	redundancy	redundancy	NOUN
ijassa-1481	479	7	to	to	PART
ijassa-1481	479	8	increase	increase	VERB
ijassa-1481	479	9	reliability	reliability	NOUN
ijassa-1481	479	10	are	be	AUX
ijassa-1481	479	11	considered	consider	VERB
ijassa-1481	479	12	,	,	PUNCT
ijassa-1481	479	13	as	as	ADV
ijassa-1481	479	14	well	well	ADV
ijassa-1481	479	15	as	as	ADP
ijassa-1481	479	16	the	the	DET
ijassa-1481	479	17	corrective	corrective	ADJ
ijassa-1481	479	18	abilities	ability	NOUN
ijassa-1481	479	19	and	and	CCONJ
ijassa-1481	479	20	error	error	NOUN
ijassa-1481	479	21	detection	detection	NOUN
ijassa-1481	479	22	algorithms	algorithm	NOUN
ijassa-1481	479	23	of	of	ADP
ijassa-1481	479	24	rns	rn	NOUN
ijassa-1481	479	25	codes	code	NOUN
ijassa-1481	479	26	were	be	AUX
ijassa-1481	479	27	considered	consider	VERB
ijassa-1481	479	28	.	.	PUNCT
ijassa-1481	480	1	the	the	DET
ijassa-1481	480	2	scheme	scheme	NOUN
ijassa-1481	480	3	of	of	ADP
ijassa-1481	480	4	data	datum	NOUN
ijassa-1481	480	5	processing	processing	NOUN
ijassa-1481	480	6	and	and	CCONJ
ijassa-1481	480	7	storage	storage	NOUN
ijassa-1481	480	8	in	in	ADP
ijassa-1481	480	9	fog	fog	NOUN
ijassa-1481	480	10	copyright	copyright	NOUN
ijassa-1481	480	11	©	©	PROPN
ijassa-1481	480	12	2024	2024	NUM
ijassa-1481	480	13	assa	assa	NOUN
ijassa-1481	480	14	.	.	PUNCT
ijassa-1481	481	1	adv	adv	PROPN
ijassa-1481	481	2	syst	syst	PROPN
ijassa-1481	481	3	sci	sci	PROPN
ijassa-1481	481	4	appl	appl	PROPN
ijassa-1481	481	5	(	(	PUNCT
ijassa-1481	481	6	2024	2024	NUM
ijassa-1481	481	7	)	)	PUNCT
ijassa-1481	481	8	data	datum	NOUN
ijassa-1481	481	9	storage	storage	NOUN
ijassa-1481	481	10	with	with	ADP
ijassa-1481	481	11	increased	increase	VERB
ijassa-1481	481	12	survivability	survivability	NOUN
ijassa-1481	481	13	and	and	CCONJ
ijassa-1481	481	14	reliability	reliability	NOUN
ijassa-1481	481	15	...	...	PUNCT
ijassa-1481	481	16	185	185	NUM
ijassa-1481	481	17	fig	fig	NOUN
ijassa-1481	481	18	.	.	PUNCT
ijassa-1481	482	1	9.7	9.7	NUM
ijassa-1481	482	2	.	.	PUNCT
ijassa-1481	483	1	failure	failure	NOUN
ijassa-1481	483	2	distribution	distribution	NOUN
ijassa-1481	483	3	of	of	ADP
ijassa-1481	483	4	the	the	DET
ijassa-1481	483	5	system	system	NOUN
ijassa-1481	483	6	under	under	ADP
ijassa-1481	483	7	parametersr	parametersr	ADJ
ijassa-1481	483	8	=	=	SYM
ijassa-1481	483	9	5	5	NUM
ijassa-1481	483	10	.	.	PUNCT
ijassa-1481	483	11	.	.	PUNCT
ijassa-1481	483	12	.	.	PUNCT
ijassa-1481	484	1	7	7	NUM
ijassa-1481	484	2	,	,	PUNCT
ijassa-1481	484	3	k	k	NOUN
ijassa-1481	484	4	=	=	NOUN
ijassa-1481	484	5	1	1	X
ijassa-1481	484	6	.	.	PUNCT
ijassa-1481	484	7	.	.	PUNCT
ijassa-1481	484	8	.	.	PUNCT
ijassa-1481	485	1	5	5	NUM
ijassa-1481	485	2	with	with	ADP
ijassa-1481	485	3	increased	increase	VERB
ijassa-1481	485	4	reliability	reliability	NOUN
ijassa-1481	485	5	is	be	AUX
ijassa-1481	485	6	proposed	propose	VERB
ijassa-1481	485	7	.	.	PUNCT
ijassa-1481	486	1	monte	monte	PROPN
ijassa-1481	486	2	carlo	carlo	PROPN
ijassa-1481	486	3	modeling	modeling	NOUN
ijassa-1481	486	4	was	be	AUX
ijassa-1481	486	5	carried	carry	VERB
ijassa-1481	486	6	out	out	ADP
ijassa-1481	486	7	,	,	PUNCT
ijassa-1481	486	8	which	which	PRON
ijassa-1481	486	9	showed	show	VERB
ijassa-1481	486	10	that	that	SCONJ
ijassa-1481	486	11	the	the	DET
ijassa-1481	486	12	proposed	propose	VERB
ijassa-1481	486	13	system	system	NOUN
ijassa-1481	486	14	allows	allow	VERB
ijassa-1481	486	15	you	you	PRON
ijassa-1481	486	16	to	to	PART
ijassa-1481	486	17	process	process	VERB
ijassa-1481	486	18	and	and	CCONJ
ijassa-1481	486	19	store	store	VERB
ijassa-1481	486	20	data	datum	NOUN
ijassa-1481	486	21	in	in	ADP
ijassa-1481	486	22	a	a	DET
ijassa-1481	486	23	foggy	foggy	ADJ
ijassa-1481	486	24	environment	environment	NOUN
ijassa-1481	486	25	at	at	ADP
ijassa-1481	486	26	a	a	DET
ijassa-1481	486	27	high	high	ADJ
ijassa-1481	486	28	level	level	NOUN
ijassa-1481	486	29	of	of	ADP
ijassa-1481	486	30	reliability	reliability	NOUN
ijassa-1481	486	31	.	.	PUNCT
ijassa-1481	487	1	a	a	DET
ijassa-1481	487	2	probability	probability	NOUN
ijassa-1481	487	3	distribution	distribution	NOUN
ijassa-1481	487	4	of	of	ADP
ijassa-1481	487	5	failure	failure	NOUN
ijassa-1481	487	6	occurrence	occurrence	NOUN
ijassa-1481	487	7	was	be	AUX
ijassa-1481	487	8	constructed	construct	VERB
ijassa-1481	487	9	,	,	PUNCT
ijassa-1481	487	10	which	which	PRON
ijassa-1481	487	11	showed	show	VERB
ijassa-1481	487	12	that	that	SCONJ
ijassa-1481	487	13	failure	failure	NOUN
ijassa-1481	487	14	probabilities	probability	NOUN
ijassa-1481	487	15	obey	obey	VERB
ijassa-1481	487	16	the	the	DET
ijassa-1481	487	17	gamma	gamma	NOUN
ijassa-1481	487	18	probability	probability	NOUN
ijassa-1481	487	19	distribution	distribution	NOUN
ijassa-1481	487	20	.	.	PUNCT
ijassa-1481	488	1	funding	funding	NOUN
ijassa-1481	488	2	:	:	PUNCT
ijassa-1481	488	3	the	the	DET
ijassa-1481	488	4	research	research	NOUN
ijassa-1481	488	5	was	be	AUX
ijassa-1481	488	6	supported	support	VERB
ijassa-1481	488	7	by	by	ADP
ijassa-1481	488	8	the	the	DET
ijassa-1481	488	9	russian	russian	PROPN
ijassa-1481	488	10	science	science	PROPN
ijassa-1481	488	11	foundation	foundation	PROPN
ijassa-1481	488	12	grant	grant	VERB
ijassa-1481	488	13	no	no	NOUN
ijassa-1481	488	14	.	.	PUNCT
ijassa-1481	488	15	2271	2271	NUM
ijassa-1481	488	16	-	-	SYM
ijassa-1481	488	17	10046	10046	NUM
ijassa-1481	488	18	,	,	PUNCT
ijassa-1481	488	19	https://rscf.ru/en/project/22-71-10046/.	https://rscf.ru/en/project/22-71-10046/.	PROPN
ijassa-1481	488	20	references	reference	VERB
ijassa-1481	488	21	1	1	NUM
ijassa-1481	488	22	.	.	PUNCT
ijassa-1481	488	23	al	al	PROPN
ijassa-1481	488	24	kez	kez	PROPN
ijassa-1481	488	25	,	,	PUNCT
ijassa-1481	488	26	d.	d.	PROPN
ijassa-1481	488	27	,	,	PUNCT
ijassa-1481	488	28	foley	foley	PROPN
ijassa-1481	488	29	,	,	PUNCT
ijassa-1481	488	30	a.	a.	NOUN
ijassa-1481	488	31	m.	m.	NOUN
ijassa-1481	488	32	,	,	PUNCT
ijassa-1481	488	33	laverty	laverty	PROPN
ijassa-1481	488	34	,	,	PUNCT
ijassa-1481	488	35	d.	d.	PROPN
ijassa-1481	488	36	,	,	PUNCT
ijassa-1481	488	37	del	del	PROPN
ijassa-1481	488	38	rio	rio	PROPN
ijassa-1481	488	39	,	,	PUNCT
ijassa-1481	488	40	d.	d.	PROPN
ijassa-1481	488	41	f.	f.	PROPN
ijassa-1481	488	42	,	,	PUNCT
ijassa-1481	488	43	&	&	CCONJ
ijassa-1481	488	44	sovacool	sovacool	PROPN
ijassa-1481	488	45	,	,	PUNCT
ijassa-1481	488	46	b.	b.	PROPN
ijassa-1481	488	47	(	(	PUNCT
ijassa-1481	488	48	2022	2022	NUM
ijassa-1481	488	49	)	)	PUNCT
ijassa-1481	488	50	exploring	explore	VERB
ijassa-1481	488	51	the	the	DET
ijassa-1481	488	52	sustainability	sustainability	NOUN
ijassa-1481	488	53	challenges	challenge	NOUN
ijassa-1481	488	54	facing	face	VERB
ijassa-1481	488	55	digitalization	digitalization	NOUN
ijassa-1481	488	56	and	and	CCONJ
ijassa-1481	488	57	internet	internet	NOUN
ijassa-1481	488	58	data	datum	NOUN
ijassa-1481	488	59	centers	center	NOUN
ijassa-1481	488	60	.	.	PUNCT
ijassa-1481	489	1	journal	journal	NOUN
ijassa-1481	489	2	of	of	ADP
ijassa-1481	489	3	cleaner	clean	ADJ
ijassa-1481	489	4	production	production	NOUN
ijassa-1481	489	5	,	,	PUNCT
ijassa-1481	489	6	371	371	NUM
ijassa-1481	489	7	,	,	PUNCT
ijassa-1481	489	8	133633	133633	NUM
ijassa-1481	489	9	.	.	PUNCT
ijassa-1481	490	1	2	2	X
ijassa-1481	490	2	.	.	X
ijassa-1481	490	3	yi	yi	PROPN
ijassa-1481	490	4	,	,	PUNCT
ijassa-1481	490	5	s.	s.	PROPN
ijassa-1481	490	6	,	,	PUNCT
ijassa-1481	490	7	li	li	PROPN
ijassa-1481	490	8	,	,	PUNCT
ijassa-1481	490	9	c.	c.	PROPN
ijassa-1481	490	10	,	,	PUNCT
ijassa-1481	490	11	&	&	CCONJ
ijassa-1481	490	12	li	li	PROPN
ijassa-1481	490	13	,	,	PUNCT
ijassa-1481	490	14	q.	q.	PROPN
ijassa-1481	490	15	(	(	PUNCT
ijassa-1481	490	16	2015	2015	NUM
ijassa-1481	490	17	)	)	PUNCT
ijassa-1481	490	18	a	a	DET
ijassa-1481	490	19	survey	survey	NOUN
ijassa-1481	490	20	of	of	ADP
ijassa-1481	490	21	fog	fog	PROPN
ijassa-1481	490	22	computing	computing	PROPN
ijassa-1481	490	23	:	:	PUNCT
ijassa-1481	490	24	concepts	concept	NOUN
ijassa-1481	490	25	,	,	PUNCT
ijassa-1481	490	26	applications	application	NOUN
ijassa-1481	490	27	and	and	CCONJ
ijassa-1481	490	28	issues	issue	NOUN
ijassa-1481	490	29	.	.	PUNCT
ijassa-1481	491	1	in	in	ADP
ijassa-1481	491	2	proceedings	proceeding	NOUN
ijassa-1481	491	3	of	of	ADP
ijassa-1481	491	4	the	the	DET
ijassa-1481	491	5	2015	2015	NUM
ijassa-1481	491	6	workshop	workshop	NOUN
ijassa-1481	491	7	on	on	ADP
ijassa-1481	491	8	mobile	mobile	ADJ
ijassa-1481	491	9	big	big	ADJ
ijassa-1481	491	10	data	datum	NOUN
ijassa-1481	491	11	,	,	PUNCT
ijassa-1481	491	12	37–42	37–42	NUM
ijassa-1481	491	13	.	.	NOUN
ijassa-1481	491	14	3	3	NUM
ijassa-1481	491	15	.	.	X
ijassa-1481	491	16	priyadarshini	priyadarshini	PROPN
ijassa-1481	491	17	,	,	PUNCT
ijassa-1481	491	18	r.	r.	PROPN
ijassa-1481	491	19	,	,	PUNCT
ijassa-1481	491	20	barik	barik	PROPN
ijassa-1481	491	21	,	,	PUNCT
ijassa-1481	491	22	r.	r.	PROPN
ijassa-1481	491	23	k.	k.	PROPN
ijassa-1481	491	24	,	,	PUNCT
ijassa-1481	491	25	&	&	CCONJ
ijassa-1481	491	26	dubey	dubey	PROPN
ijassa-1481	491	27	,	,	PUNCT
ijassa-1481	491	28	h.	h.	PROPN
ijassa-1481	491	29	(	(	PUNCT
ijassa-1481	491	30	2018	2018	NUM
ijassa-1481	491	31	)	)	PUNCT
ijassa-1481	491	32	deepfog	deepfog	NOUN
ijassa-1481	491	33	:	:	PUNCT
ijassa-1481	491	34	fog	fog	NOUN
ijassa-1481	491	35	computing	computing	NOUN
ijassa-1481	491	36	-	-	PUNCT
ijassa-1481	491	37	based	base	VERB
ijassa-1481	491	38	deep	deep	ADJ
ijassa-1481	491	39	neural	neural	ADJ
ijassa-1481	491	40	architecture	architecture	NOUN
ijassa-1481	491	41	for	for	ADP
ijassa-1481	491	42	prediction	prediction	NOUN
ijassa-1481	491	43	of	of	ADP
ijassa-1481	491	44	stress	stress	NOUN
ijassa-1481	491	45	types	type	NOUN
ijassa-1481	491	46	,	,	PUNCT
ijassa-1481	491	47	diabetes	diabetes	NOUN
ijassa-1481	491	48	and	and	CCONJ
ijassa-1481	491	49	hypertension	hypertension	NOUN
ijassa-1481	491	50	attacks	attack	NOUN
ijassa-1481	491	51	.	.	PUNCT
ijassa-1481	492	1	computation	computation	NOUN
ijassa-1481	492	2	,	,	PUNCT
ijassa-1481	492	3	6	6	NUM
ijassa-1481	492	4	,	,	PUNCT
ijassa-1481	492	5	62	62	NUM
ijassa-1481	492	6	.	.	NOUN
ijassa-1481	493	1	4	4	NUM
ijassa-1481	493	2	.	.	X
ijassa-1481	493	3	babenko	babenko	ADJ
ijassa-1481	493	4	,	,	PUNCT
ijassa-1481	493	5	m.	m.	NOUN
ijassa-1481	493	6	,	,	PUNCT
ijassa-1481	493	7	tchernykh	tchernykh	ADJ
ijassa-1481	493	8	,	,	PUNCT
ijassa-1481	493	9	a.	a.	NOUN
ijassa-1481	493	10	,	,	PUNCT
ijassa-1481	493	11	pulido	pulido	NOUN
ijassa-1481	493	12	-	-	ADJ
ijassa-1481	493	13	gaytan	gaytan	ADJ
ijassa-1481	493	14	,	,	PUNCT
ijassa-1481	493	15	b.	b.	PROPN
ijassa-1481	493	16	,	,	PUNCT
ijassa-1481	493	17	avetisyan	avetisyan	PROPN
ijassa-1481	493	18	,	,	PUNCT
ijassa-1481	493	19	a.	a.	NOUN
ijassa-1481	493	20	,	,	PUNCT
ijassa-1481	493	21	nesmachnow	nesmachnow	PROPN
ijassa-1481	493	22	,	,	PUNCT
ijassa-1481	493	23	s.	s.	PROPN
ijassa-1481	493	24	,	,	PUNCT
ijassa-1481	493	25	wang	wang	PROPN
ijassa-1481	493	26	,	,	PUNCT
ijassa-1481	493	27	x.	x.	PROPN
ijassa-1481	493	28	,	,	PUNCT
ijassa-1481	493	29	&	&	CCONJ
ijassa-1481	493	30	granelli	granelli	PROPN
ijassa-1481	493	31	,	,	PUNCT
ijassa-1481	493	32	f.	f.	PROPN
ijassa-1481	493	33	(	(	PUNCT
ijassa-1481	493	34	2022	2022	NUM
ijassa-1481	493	35	)	)	PUNCT
ijassa-1481	493	36	towards	towards	ADP
ijassa-1481	493	37	the	the	DET
ijassa-1481	493	38	sign	sign	NOUN
ijassa-1481	493	39	function	function	VERB
ijassa-1481	493	40	best	good	ADJ
ijassa-1481	493	41	approximation	approximation	NOUN
ijassa-1481	493	42	for	for	ADP
ijassa-1481	493	43	secure	secure	ADJ
ijassa-1481	493	44	outsourced	outsourced	ADJ
ijassa-1481	493	45	computations	computation	NOUN
ijassa-1481	493	46	and	and	CCONJ
ijassa-1481	493	47	control	control	NOUN
ijassa-1481	493	48	.	.	PUNCT
ijassa-1481	494	1	mathematics	mathematic	NOUN
ijassa-1481	494	2	,	,	PUNCT
ijassa-1481	494	3	10	10	NUM
ijassa-1481	494	4	,	,	PUNCT
ijassa-1481	494	5	2006	2006	NUM
ijassa-1481	494	6	.	.	PUNCT
ijassa-1481	495	1	5	5	NUM
ijassa-1481	495	2	.	.	X
ijassa-1481	495	3	apat	apat	NOUN
ijassa-1481	495	4	,	,	PUNCT
ijassa-1481	495	5	h.	h.	PROPN
ijassa-1481	495	6	k.	k.	PROPN
ijassa-1481	495	7	,	,	PUNCT
ijassa-1481	495	8	nayak	nayak	PROPN
ijassa-1481	495	9	,	,	PUNCT
ijassa-1481	495	10	r.	r.	PROPN
ijassa-1481	495	11	,	,	PUNCT
ijassa-1481	495	12	&	&	CCONJ
ijassa-1481	495	13	sahoo	sahoo	PROPN
ijassa-1481	495	14	,	,	PUNCT
ijassa-1481	495	15	b.	b.	PROPN
ijassa-1481	495	16	(	(	PUNCT
ijassa-1481	495	17	2023	2023	NUM
ijassa-1481	495	18	)	)	PUNCT
ijassa-1481	495	19	a	a	DET
ijassa-1481	495	20	comprehensive	comprehensive	ADJ
ijassa-1481	495	21	review	review	NOUN
ijassa-1481	495	22	on	on	ADP
ijassa-1481	495	23	internet	internet	NOUN
ijassa-1481	495	24	of	of	ADP
ijassa-1481	495	25	things	thing	NOUN
ijassa-1481	495	26	application	application	NOUN
ijassa-1481	495	27	placement	placement	NOUN
ijassa-1481	495	28	in	in	ADP
ijassa-1481	495	29	fog	fog	PROPN
ijassa-1481	495	30	computing	computing	PROPN
ijassa-1481	495	31	environment	environment	NOUN
ijassa-1481	495	32	.	.	PUNCT
ijassa-1481	496	1	internet	internet	NOUN
ijassa-1481	496	2	of	of	ADP
ijassa-1481	496	3	things	thing	NOUN
ijassa-1481	496	4	,	,	PUNCT
ijassa-1481	496	5	p.	p.	NOUN
ijassa-1481	496	6	100866	100866	NUM
ijassa-1481	496	7	.	.	PUNCT
ijassa-1481	497	1	6	6	NUM
ijassa-1481	497	2	.	.	X
ijassa-1481	497	3	dai	dai	PROPN
ijassa-1481	497	4	,	,	PUNCT
ijassa-1481	497	5	y.-s	y.-	NOUN
ijassa-1481	497	6	.	.	PUNCT
ijassa-1481	497	7	,	,	PUNCT
ijassa-1481	497	8	yang	yang	PROPN
ijassa-1481	497	9	,	,	PUNCT
ijassa-1481	497	10	b.	b.	PROPN
ijassa-1481	497	11	,	,	PUNCT
ijassa-1481	497	12	dongarra	dongarra	PROPN
ijassa-1481	497	13	,	,	PUNCT
ijassa-1481	497	14	j.	j.	PROPN
ijassa-1481	497	15	,	,	PUNCT
ijassa-1481	497	16	&	&	CCONJ
ijassa-1481	497	17	zhang	zhang	PROPN
ijassa-1481	497	18	,	,	PUNCT
ijassa-1481	497	19	g.	g.	PROPN
ijassa-1481	497	20	(	(	PUNCT
ijassa-1481	497	21	2009	2009	NUM
ijassa-1481	497	22	)	)	PUNCT
ijassa-1481	497	23	cloud	cloud	NOUN
ijassa-1481	497	24	service	service	NOUN
ijassa-1481	497	25	reliability	reliability	NOUN
ijassa-1481	497	26	:	:	PUNCT
ijassa-1481	497	27	modeling	modeling	NOUN
ijassa-1481	497	28	and	and	CCONJ
ijassa-1481	497	29	analysis	analysis	NOUN
ijassa-1481	497	30	.	.	PUNCT
ijassa-1481	498	1	in	in	ADP
ijassa-1481	498	2	15th	15th	ADJ
ijassa-1481	498	3	ieee	ieee	PROPN
ijassa-1481	498	4	pacific	pacific	PROPN
ijassa-1481	498	5	rim	rim	PROPN
ijassa-1481	498	6	international	international	ADJ
ijassa-1481	498	7	symposium	symposium	NOUN
ijassa-1481	498	8	on	on	ADP
ijassa-1481	498	9	dependable	dependable	ADJ
ijassa-1481	498	10	computing	computing	NOUN
ijassa-1481	498	11	,	,	PUNCT
ijassa-1481	498	12	1–17	1–17	PROPN
ijassa-1481	498	13	,	,	PUNCT
ijassa-1481	498	14	citeseer	citeseer	NOUN
ijassa-1481	498	15	.	.	PUNCT
ijassa-1481	499	1	7	7	X
ijassa-1481	499	2	.	.	X
ijassa-1481	499	3	spillner	spillner	PROPN
ijassa-1481	499	4	,	,	PUNCT
ijassa-1481	499	5	j.	j.	PROPN
ijassa-1481	499	6	,	,	PUNCT
ijassa-1481	499	7	bombach	bombach	NOUN
ijassa-1481	499	8	,	,	PUNCT
ijassa-1481	499	9	g.	g.	NOUN
ijassa-1481	499	10	,	,	PUNCT
ijassa-1481	499	11	matthischke	matthischke	PROPN
ijassa-1481	499	12	,	,	PUNCT
ijassa-1481	499	13	s.	s.	PROPN
ijassa-1481	499	14	,	,	PUNCT
ijassa-1481	499	15	muller	muller	PROPN
ijassa-1481	499	16	,	,	PUNCT
ijassa-1481	499	17	j.	j.	PROPN
ijassa-1481	499	18	,	,	PUNCT
ijassa-1481	499	19	tzschichholz	tzschichholz	PROPN
ijassa-1481	499	20	,	,	PUNCT
ijassa-1481	499	21	r.	r.	PROPN
ijassa-1481	499	22	,	,	PUNCT
ijassa-1481	499	23	&	&	CCONJ
ijassa-1481	499	24	schill	schill	PROPN
ijassa-1481	499	25	,	,	PUNCT
ijassa-1481	499	26	a.	a.	NOUN
ijassa-1481	499	27	(	(	PUNCT
ijassa-1481	499	28	2011	2011	NUM
ijassa-1481	499	29	)	)	PUNCT
ijassa-1481	499	30	information	information	NOUN
ijassa-1481	499	31	dispersion	dispersion	NOUN
ijassa-1481	499	32	over	over	ADP
ijassa-1481	499	33	redundant	redundant	ADJ
ijassa-1481	499	34	arrays	array	NOUN
ijassa-1481	499	35	of	of	ADP
ijassa-1481	499	36	optimal	optimal	ADJ
ijassa-1481	499	37	cloud	cloud	NOUN
ijassa-1481	499	38	storage	storage	NOUN
ijassa-1481	499	39	for	for	ADP
ijassa-1481	499	40	desktop	desktop	NOUN
ijassa-1481	499	41	users	user	NOUN
ijassa-1481	499	42	.	.	PUNCT
ijassa-1481	500	1	in	in	ADP
ijassa-1481	500	2	2011	2011	NUM
ijassa-1481	500	3	fourth	fourth	ADJ
ijassa-1481	500	4	ieee	ieee	PROPN
ijassa-1481	500	5	international	international	ADJ
ijassa-1481	500	6	conference	conference	NOUN
ijassa-1481	500	7	on	on	ADP
ijassa-1481	500	8	utility	utility	NOUN
ijassa-1481	500	9	and	and	CCONJ
ijassa-1481	500	10	cloud	cloud	NOUN
ijassa-1481	500	11	computing	computing	NOUN
ijassa-1481	500	12	,	,	PUNCT
ijassa-1481	500	13	1–8	1–8	NUM
ijassa-1481	500	14	,	,	PUNCT
ijassa-1481	500	15	ieee	ieee	NOUN
ijassa-1481	500	16	.	.	PUNCT
ijassa-1481	500	17	8	8	NUM
ijassa-1481	500	18	.	.	X
ijassa-1481	501	1	ji	ji	PROPN
ijassa-1481	501	2	-	-	PUNCT
ijassa-1481	501	3	yi	yi	PROPN
ijassa-1481	501	4	,	,	PUNCT
ijassa-1481	501	5	w.	w.	PROPN
ijassa-1481	501	6	,	,	PUNCT
ijassa-1481	501	7	jian	jian	PROPN
ijassa-1481	501	8	-	-	PUNCT
ijassa-1481	501	9	lin	lin	PROPN
ijassa-1481	501	10	,	,	PUNCT
ijassa-1481	501	11	z.	z.	PROPN
ijassa-1481	501	12	,	,	PUNCT
ijassa-1481	501	13	tong	tong	PROPN
ijassa-1481	501	14	,	,	PUNCT
ijassa-1481	501	15	w.	w.	PROPN
ijassa-1481	501	16	,	,	PUNCT
ijassa-1481	501	17	&	&	CCONJ
ijassa-1481	501	18	qian	qian	PROPN
ijassa-1481	501	19	-	-	PUNCT
ijassa-1481	501	20	li	li	PROPN
ijassa-1481	501	21	,	,	PUNCT
ijassa-1481	501	22	s.	s.	PROPN
ijassa-1481	501	23	(	(	PUNCT
ijassa-1481	501	24	2011	2011	NUM
ijassa-1481	501	25	)	)	PUNCT
ijassa-1481	501	26	study	study	NOUN
ijassa-1481	501	27	on	on	ADP
ijassa-1481	501	28	redundant	redundant	ADJ
ijassa-1481	501	29	strategies	strategy	NOUN
ijassa-1481	501	30	in	in	ADP
ijassa-1481	501	31	peer	peer	NOUN
ijassa-1481	501	32	to	to	AUX
ijassa-1481	501	33	peer	peer	NOUN
ijassa-1481	501	34	cloud	cloud	NOUN
ijassa-1481	501	35	storage	storage	NOUN
ijassa-1481	501	36	systems	system	NOUN
ijassa-1481	501	37	.	.	PUNCT
ijassa-1481	502	1	applied	apply	VERB
ijassa-1481	502	2	mathematics	mathematics	PROPN
ijassa-1481	502	3	&	&	CCONJ
ijassa-1481	502	4	information	information	NOUN
ijassa-1481	502	5	sciences	sciences	PROPN
ijassa-1481	502	6	,	,	PUNCT
ijassa-1481	502	7	5	5	NUM
ijassa-1481	502	8	,	,	PUNCT
ijassa-1481	502	9	235s–242s	235s–242s	NUM
ijassa-1481	502	10	.	.	PUNCT
ijassa-1481	503	1	9	9	X
ijassa-1481	503	2	.	.	X
ijassa-1481	503	3	garner	garner	NOUN
ijassa-1481	503	4	,	,	PUNCT
ijassa-1481	503	5	h.	h.	PROPN
ijassa-1481	503	6	l.	l.	PROPN
ijassa-1481	503	7	(	(	PUNCT
ijassa-1481	503	8	1959	1959	NUM
ijassa-1481	503	9	)	)	PUNCT
ijassa-1481	503	10	the	the	DET
ijassa-1481	503	11	residue	residue	NOUN
ijassa-1481	503	12	number	number	NOUN
ijassa-1481	503	13	system	system	NOUN
ijassa-1481	503	14	.	.	PUNCT
ijassa-1481	504	1	in	in	ADP
ijassa-1481	504	2	papers	paper	NOUN
ijassa-1481	504	3	presented	present	VERB
ijassa-1481	504	4	at	at	ADP
ijassa-1481	504	5	the	the	DET
ijassa-1481	504	6	the	the	DET
ijassa-1481	504	7	march	march	NOUN
ijassa-1481	504	8	3	3	NUM
ijassa-1481	504	9	-	-	SYM
ijassa-1481	504	10	5	5	NUM
ijassa-1481	504	11	,	,	PUNCT
ijassa-1481	504	12	1959	1959	NUM
ijassa-1481	504	13	,	,	PUNCT
ijassa-1481	504	14	western	western	ADJ
ijassa-1481	504	15	joint	joint	ADJ
ijassa-1481	504	16	computer	computer	NOUN
ijassa-1481	504	17	conference	conference	NOUN
ijassa-1481	504	18	,	,	PUNCT
ijassa-1481	504	19	146–153	146–153	NUM
ijassa-1481	504	20	.	.	PUNCT
ijassa-1481	505	1	copyright	copyright	NOUN
ijassa-1481	505	2	©	©	PROPN
ijassa-1481	505	3	2024	2024	NUM
ijassa-1481	505	4	assa	assa	NOUN
ijassa-1481	505	5	.	.	PUNCT
ijassa-1481	506	1	adv	adv	PROPN
ijassa-1481	506	2	syst	syst	PROPN
ijassa-1481	506	3	sci	sci	PROPN
ijassa-1481	506	4	appl	appl	PROPN
ijassa-1481	506	5	(	(	PUNCT
ijassa-1481	506	6	2024	2024	NUM
ijassa-1481	506	7	)	)	PUNCT
ijassa-1481	506	8	186	186	NUM
ijassa-1481	506	9	n.	n.	NOUN
ijassa-1481	506	10	kucherov	kucherov	PROPN
ijassa-1481	506	11	,	,	PUNCT
ijassa-1481	506	12	m.	m.	NOUN
ijassa-1481	506	13	babenko	babenko	PROPN
ijassa-1481	506	14	,	,	PUNCT
ijassa-1481	506	15	e.	e.	PROPN
ijassa-1481	506	16	shiriaev	shiriaev	PROPN
ijassa-1481	506	17	,	,	PUNCT
ijassa-1481	506	18	n.v	n.v	PROPN
ijassa-1481	506	19	.	.	PROPN
ijassa-1481	506	20	hung	hang	VERB
ijassa-1481	506	21	10	10	NUM
ijassa-1481	506	22	.	.	PUNCT
ijassa-1481	507	1	pei	pei	PROPN
ijassa-1481	507	2	,	,	PUNCT
ijassa-1481	507	3	d.	d.	PROPN
ijassa-1481	507	4	,	,	PUNCT
ijassa-1481	507	5	salomaa	salomaa	ADJ
ijassa-1481	507	6	,	,	PUNCT
ijassa-1481	507	7	a.	a.	NOUN
ijassa-1481	507	8	,	,	PUNCT
ijassa-1481	507	9	&	&	CCONJ
ijassa-1481	507	10	ding	ding	PROPN
ijassa-1481	507	11	,	,	PUNCT
ijassa-1481	507	12	c.	c.	PROPN
ijassa-1481	507	13	(	(	PUNCT
ijassa-1481	507	14	1996	1996	NUM
ijassa-1481	507	15	)	)	PUNCT
ijassa-1481	507	16	chinese	chinese	ADJ
ijassa-1481	507	17	remainder	remainder	NOUN
ijassa-1481	507	18	theorem	theorem	NOUN
ijassa-1481	507	19	:	:	PUNCT
ijassa-1481	507	20	applications	application	NOUN
ijassa-1481	507	21	in	in	ADP
ijassa-1481	507	22	computing	computing	NOUN
ijassa-1481	507	23	,	,	PUNCT
ijassa-1481	507	24	coding	coding	NOUN
ijassa-1481	507	25	,	,	PUNCT
ijassa-1481	507	26	cryptography	cryptography	NOUN
ijassa-1481	507	27	.	.	PUNCT
ijassa-1481	508	1	world	world	PROPN
ijassa-1481	508	2	scientific	scientific	ADJ
ijassa-1481	508	3	.	.	PUNCT
ijassa-1481	509	1	11	11	NUM
ijassa-1481	509	2	.	.	X
ijassa-1481	510	1	krasnobayev	krasnobayev	ADJ
ijassa-1481	510	2	,	,	PUNCT
ijassa-1481	510	3	v.	v.	PROPN
ijassa-1481	510	4	,	,	PUNCT
ijassa-1481	510	5	kuznetsov	kuznetsov	PROPN
ijassa-1481	510	6	,	,	PUNCT
ijassa-1481	510	7	a.	a.	NOUN
ijassa-1481	510	8	,	,	PUNCT
ijassa-1481	510	9	popenko	popenko	NOUN
ijassa-1481	510	10	,	,	PUNCT
ijassa-1481	510	11	v.	v.	PROPN
ijassa-1481	510	12	,	,	PUNCT
ijassa-1481	510	13	kononchenko	kononchenko	PROPN
ijassa-1481	510	14	,	,	PUNCT
ijassa-1481	510	15	a.	a.	PROPN
ijassa-1481	510	16	,	,	PUNCT
ijassa-1481	510	17	&	&	CCONJ
ijassa-1481	510	18	kuznetsova	kuznetsova	PROPN
ijassa-1481	510	19	,	,	PUNCT
ijassa-1481	510	20	t.	t.	PROPN
ijassa-1481	510	21	(	(	PUNCT
ijassa-1481	510	22	2020	2020	NUM
ijassa-1481	510	23	)	)	PUNCT
ijassa-1481	510	24	determination	determination	NOUN
ijassa-1481	510	25	of	of	ADP
ijassa-1481	510	26	positional	positional	ADJ
ijassa-1481	510	27	characteristics	characteristic	NOUN
ijassa-1481	510	28	of	of	ADP
ijassa-1481	510	29	numbers	number	NOUN
ijassa-1481	510	30	in	in	ADP
ijassa-1481	510	31	the	the	DET
ijassa-1481	510	32	residual	residual	ADJ
ijassa-1481	510	33	class	class	NOUN
ijassa-1481	510	34	system	system	NOUN
ijassa-1481	510	35	.	.	PUNCT
ijassa-1481	511	1	in	in	ADP
ijassa-1481	511	2	2020	2020	NUM
ijassa-1481	511	3	ieee	ieee	NOUN
ijassa-1481	511	4	11th	11th	ADJ
ijassa-1481	511	5	international	international	ADJ
ijassa-1481	511	6	conference	conference	NOUN
ijassa-1481	511	7	on	on	ADP
ijassa-1481	511	8	dependable	dependable	ADJ
ijassa-1481	511	9	systems	system	NOUN
ijassa-1481	511	10	,	,	PUNCT
ijassa-1481	511	11	services	service	NOUN
ijassa-1481	511	12	and	and	CCONJ
ijassa-1481	511	13	technologies	technology	NOUN
ijassa-1481	511	14	(	(	PUNCT
ijassa-1481	511	15	dessert	dessert	NOUN
ijassa-1481	511	16	)	)	PUNCT
ijassa-1481	511	17	,	,	PUNCT
ijassa-1481	511	18	151–156	151–156	NUM
ijassa-1481	511	19	,	,	PUNCT
ijassa-1481	511	20	ieee	ieee	NOUN
ijassa-1481	511	21	.	.	PUNCT
ijassa-1481	511	22	12	12	NUM
ijassa-1481	511	23	.	.	PUNCT
ijassa-1481	511	24	akushsky	akushsky	NOUN
ijassa-1481	511	25	,	,	PUNCT
ijassa-1481	511	26	i.	i.	NOUN
ijassa-1481	511	27	,	,	PUNCT
ijassa-1481	511	28	burtsev	burtsev	VERB
ijassa-1481	511	29	,	,	PUNCT
ijassa-1481	511	30	v.	v.	PROPN
ijassa-1481	511	31	,	,	PUNCT
ijassa-1481	511	32	&	&	CCONJ
ijassa-1481	511	33	pak	pak	PROPN
ijassa-1481	511	34	,	,	PUNCT
ijassa-1481	511	35	n.	n.	PROPN
ijassa-1481	511	36	(	(	PUNCT
ijassa-1481	511	37	1977	1977	NUM
ijassa-1481	511	38	)	)	PUNCT
ijassa-1481	511	39	calculation	calculation	NOUN
ijassa-1481	511	40	of	of	ADP
ijassa-1481	511	41	the	the	DET
ijassa-1481	511	42	positional	positional	ADJ
ijassa-1481	511	43	characteristic	characteristic	ADJ
ijassa-1481	511	44	(	(	PUNCT
ijassa-1481	511	45	core	core	NOUN
ijassa-1481	511	46	)	)	PUNCT
ijassa-1481	511	47	of	of	ADP
ijassa-1481	511	48	the	the	DET
ijassa-1481	511	49	non	non	ADJ
ijassa-1481	511	50	-	-	ADJ
ijassa-1481	511	51	positional	positional	ADJ
ijassa-1481	511	52	code	code	NOUN
ijassa-1481	511	53	.	.	PUNCT
ijassa-1481	512	1	theory	theory	NOUN
ijassa-1481	512	2	of	of	ADP
ijassa-1481	512	3	coding	coding	NOUN
ijassa-1481	512	4	and	and	CCONJ
ijassa-1481	512	5	optimization	optimization	NOUN
ijassa-1481	512	6	of	of	ADP
ijassa-1481	512	7	complex	complex	ADJ
ijassa-1481	512	8	systems	system	NOUN
ijassa-1481	512	9	;	;	PUNCT
ijassa-1481	512	10	nauka	nauka	PROPN
ijassa-1481	512	11	:	:	PUNCT
ijassa-1481	512	12	alma	alma	PROPN
ijassa-1481	512	13	-	-	PUNCT
ijassa-1481	512	14	ata	ata	PROPN
ijassa-1481	512	15	,	,	PUNCT
ijassa-1481	512	16	kazakhstan	kazakhstan	PROPN
ijassa-1481	512	17	,	,	PUNCT
ijassa-1481	512	18	17–25	17–25	NUM
ijassa-1481	512	19	.	.	PROPN
ijassa-1481	512	20	13	13	NUM
ijassa-1481	512	21	.	.	PUNCT
ijassa-1481	513	1	popov	popov	PROPN
ijassa-1481	513	2	,	,	PUNCT
ijassa-1481	513	3	d.	d.	PROPN
ijassa-1481	513	4	&	&	CCONJ
ijassa-1481	513	5	gapochkin	gapochkin	PROPN
ijassa-1481	513	6	,	,	PUNCT
ijassa-1481	513	7	a.	a.	NOUN
ijassa-1481	513	8	(	(	PUNCT
ijassa-1481	513	9	2018	2018	NUM
ijassa-1481	513	10	)	)	PUNCT
ijassa-1481	513	11	development	development	NOUN
ijassa-1481	513	12	of	of	ADP
ijassa-1481	513	13	algorithm	algorithm	NOUN
ijassa-1481	513	14	for	for	ADP
ijassa-1481	513	15	control	control	NOUN
ijassa-1481	513	16	and	and	CCONJ
ijassa-1481	513	17	correction	correction	NOUN
ijassa-1481	513	18	of	of	ADP
ijassa-1481	513	19	errors	error	NOUN
ijassa-1481	513	20	of	of	ADP
ijassa-1481	513	21	digital	digital	ADJ
ijassa-1481	513	22	signals	signal	NOUN
ijassa-1481	513	23	,	,	PUNCT
ijassa-1481	513	24	represented	represent	VERB
ijassa-1481	513	25	in	in	ADP
ijassa-1481	513	26	system	system	NOUN
ijassa-1481	513	27	of	of	ADP
ijassa-1481	513	28	residual	residual	ADJ
ijassa-1481	513	29	classes	class	NOUN
ijassa-1481	513	30	.	.	PUNCT
ijassa-1481	514	1	in	in	ADP
ijassa-1481	514	2	2018	2018	NUM
ijassa-1481	514	3	international	international	ADJ
ijassa-1481	514	4	russian	russian	ADJ
ijassa-1481	514	5	automation	automation	NOUN
ijassa-1481	514	6	conference	conference	NOUN
ijassa-1481	514	7	(	(	PUNCT
ijassa-1481	514	8	rusautocon	rusautocon	NOUN
ijassa-1481	514	9	)	)	PUNCT
ijassa-1481	514	10	,	,	PUNCT
ijassa-1481	514	11	1–3	1–3	NOUN
ijassa-1481	514	12	,	,	PUNCT
ijassa-1481	514	13	ieee	ieee	NOUN
ijassa-1481	514	14	.	.	PUNCT
ijassa-1481	514	15	14	14	NUM
ijassa-1481	514	16	.	.	PUNCT
ijassa-1481	515	1	cheraghlou	cheraghlou	NOUN
ijassa-1481	515	2	,	,	PUNCT
ijassa-1481	515	3	m.	m.	NOUN
ijassa-1481	515	4	n.	n.	PROPN
ijassa-1481	515	5	,	,	PUNCT
ijassa-1481	515	6	khadem	khadem	PROPN
ijassa-1481	515	7	-	-	PUNCT
ijassa-1481	515	8	zadeh	zadeh	PROPN
ijassa-1481	515	9	,	,	PUNCT
ijassa-1481	515	10	a.	a.	PROPN
ijassa-1481	515	11	,	,	PUNCT
ijassa-1481	515	12	&	&	CCONJ
ijassa-1481	515	13	haghparast	haghparast	NOUN
ijassa-1481	515	14	,	,	PUNCT
ijassa-1481	515	15	m.	m.	NOUN
ijassa-1481	515	16	(	(	PUNCT
ijassa-1481	515	17	2016	2016	NUM
ijassa-1481	515	18	)	)	PUNCT
ijassa-1481	515	19	a	a	DET
ijassa-1481	515	20	survey	survey	NOUN
ijassa-1481	515	21	of	of	ADP
ijassa-1481	515	22	fault	fault	NOUN
ijassa-1481	515	23	tolerance	tolerance	NOUN
ijassa-1481	515	24	architecture	architecture	NOUN
ijassa-1481	515	25	in	in	ADP
ijassa-1481	515	26	cloud	cloud	NOUN
ijassa-1481	515	27	computing	computing	NOUN
ijassa-1481	515	28	.	.	PUNCT
ijassa-1481	516	1	journal	journal	PROPN
ijassa-1481	516	2	of	of	ADP
ijassa-1481	516	3	network	network	NOUN
ijassa-1481	516	4	and	and	CCONJ
ijassa-1481	516	5	computer	computer	NOUN
ijassa-1481	516	6	applications	application	NOUN
ijassa-1481	516	7	,	,	PUNCT
ijassa-1481	516	8	61	61	NUM
ijassa-1481	516	9	,	,	PUNCT
ijassa-1481	516	10	81–92	81–92	NUM
ijassa-1481	516	11	.	.	PUNCT
ijassa-1481	517	1	15	15	NUM
ijassa-1481	517	2	.	.	X
ijassa-1481	517	3	araujo	araujo	PROPN
ijassa-1481	517	4	,	,	PUNCT
ijassa-1481	517	5	j.	j.	PROPN
ijassa-1481	517	6	,	,	PUNCT
ijassa-1481	517	7	oliveira	oliveira	PROPN
ijassa-1481	517	8	,	,	PUNCT
ijassa-1481	517	9	d.	d.	PROPN
ijassa-1481	517	10	,	,	PUNCT
ijassa-1481	517	11	matos	matos	PROPN
ijassa-1481	517	12	,	,	PUNCT
ijassa-1481	517	13	r.	r.	PROPN
ijassa-1481	517	14	,	,	PUNCT
ijassa-1481	517	15	alves	alves	PROPN
ijassa-1481	517	16	,	,	PUNCT
ijassa-1481	517	17	g.	g.	PROPN
ijassa-1481	517	18	,	,	PUNCT
ijassa-1481	517	19	&	&	CCONJ
ijassa-1481	517	20	maciel	maciel	PROPN
ijassa-1481	517	21	,	,	PUNCT
ijassa-1481	517	22	p.	p.	NOUN
ijassa-1481	517	23	(	(	PUNCT
ijassa-1481	517	24	2023	2023	NUM
ijassa-1481	517	25	)	)	PUNCT
ijassa-1481	517	26	availability	availability	NOUN
ijassa-1481	517	27	and	and	CCONJ
ijassa-1481	517	28	reliability	reliability	NOUN
ijassa-1481	517	29	modeling	modeling	NOUN
ijassa-1481	517	30	of	of	ADP
ijassa-1481	517	31	mobile	mobile	ADJ
ijassa-1481	517	32	cloud	cloud	NOUN
ijassa-1481	517	33	architectures	architecture	NOUN
ijassa-1481	517	34	.	.	PUNCT
ijassa-1481	518	1	ieee	ieee	NOUN
ijassa-1481	518	2	transactions	transaction	NOUN
ijassa-1481	518	3	on	on	ADP
ijassa-1481	518	4	industrial	industrial	ADJ
ijassa-1481	518	5	informatics	informatic	NOUN
ijassa-1481	518	6	.	.	PUNCT
ijassa-1481	519	1	16	16	NUM
ijassa-1481	519	2	.	.	PUNCT
ijassa-1481	520	1	al	al	PROPN
ijassa-1481	520	2	-	-	PUNCT
ijassa-1481	520	3	dulaimy	dulaimy	PROPN
ijassa-1481	520	4	,	,	PUNCT
ijassa-1481	520	5	a.	a.	NOUN
ijassa-1481	520	6	,	,	PUNCT
ijassa-1481	520	7	ashjaei	ashjaei	ADJ
ijassa-1481	520	8	,	,	PUNCT
ijassa-1481	520	9	m.	m.	NOUN
ijassa-1481	520	10	,	,	PUNCT
ijassa-1481	520	11	behnam	behnam	NOUN
ijassa-1481	520	12	,	,	PUNCT
ijassa-1481	520	13	m.	m.	NOUN
ijassa-1481	520	14	,	,	PUNCT
ijassa-1481	520	15	nolte	nolte	PROPN
ijassa-1481	520	16	,	,	PUNCT
ijassa-1481	520	17	t.	t.	PROPN
ijassa-1481	520	18	,	,	PUNCT
ijassa-1481	520	19	&	&	CCONJ
ijassa-1481	520	20	papadopoulos	papadopoulos	PROPN
ijassa-1481	520	21	,	,	PUNCT
ijassa-1481	520	22	a.	a.	PROPN
ijassa-1481	520	23	v.	v.	PROPN
ijassa-1481	520	24	(	(	PUNCT
ijassa-1481	520	25	2022	2022	NUM
ijassa-1481	520	26	)	)	PUNCT
ijassa-1481	520	27	fault	fault	VERB
ijassa-1481	520	28	tolerance	tolerance	NOUN
ijassa-1481	520	29	in	in	ADP
ijassa-1481	520	30	cloud	cloud	NOUN
ijassa-1481	520	31	manufacturing	manufacturing	NOUN
ijassa-1481	520	32	:	:	PUNCT
ijassa-1481	520	33	an	an	DET
ijassa-1481	520	34	overview	overview	NOUN
ijassa-1481	520	35	.	.	PUNCT
ijassa-1481	521	1	in	in	ADP
ijassa-1481	521	2	international	international	ADJ
ijassa-1481	521	3	conference	conference	NOUN
ijassa-1481	521	4	on	on	ADP
ijassa-1481	521	5	mobile	mobile	ADJ
ijassa-1481	521	6	computing	computing	NOUN
ijassa-1481	521	7	,	,	PUNCT
ijassa-1481	521	8	applications	application	NOUN
ijassa-1481	521	9	,	,	PUNCT
ijassa-1481	521	10	and	and	CCONJ
ijassa-1481	521	11	services	service	NOUN
ijassa-1481	521	12	,	,	PUNCT
ijassa-1481	521	13	89–101	89–101	PROPN
ijassa-1481	521	14	,	,	PUNCT
ijassa-1481	521	15	springer	springer	NOUN
ijassa-1481	521	16	.	.	PUNCT
ijassa-1481	522	1	17	17	NUM
ijassa-1481	522	2	.	.	PUNCT
ijassa-1481	523	1	sheeba	sheeba	PROPN
ijassa-1481	523	2	,	,	PUNCT
ijassa-1481	523	3	a.	a.	PROPN
ijassa-1481	523	4	&	&	CCONJ
ijassa-1481	523	5	uma	uma	PROPN
ijassa-1481	523	6	maheswari	maheswari	PROPN
ijassa-1481	523	7	,	,	PUNCT
ijassa-1481	523	8	b.	b.	PROPN
ijassa-1481	523	9	(	(	PUNCT
ijassa-1481	523	10	2023	2023	NUM
ijassa-1481	523	11	)	)	PUNCT
ijassa-1481	523	12	an	an	DET
ijassa-1481	523	13	efficient	efficient	ADJ
ijassa-1481	523	14	fault	fault	NOUN
ijassa-1481	523	15	tolerance	tolerance	NOUN
ijassa-1481	523	16	scheme	scheme	NOUN
ijassa-1481	523	17	based	base	VERB
ijassa-1481	523	18	enhanced	enhanced	ADJ
ijassa-1481	523	19	firefly	firefly	NOUN
ijassa-1481	523	20	optimization	optimization	NOUN
ijassa-1481	523	21	for	for	ADP
ijassa-1481	523	22	virtual	virtual	ADJ
ijassa-1481	523	23	machine	machine	NOUN
ijassa-1481	523	24	placement	placement	NOUN
ijassa-1481	523	25	in	in	ADP
ijassa-1481	523	26	cloud	cloud	NOUN
ijassa-1481	523	27	computing	computing	NOUN
ijassa-1481	523	28	.	.	PUNCT
ijassa-1481	524	1	concurrency	concurrency	NOUN
ijassa-1481	524	2	and	and	CCONJ
ijassa-1481	524	3	computation	computation	NOUN
ijassa-1481	524	4	:	:	PUNCT
ijassa-1481	524	5	practice	practice	NOUN
ijassa-1481	524	6	and	and	CCONJ
ijassa-1481	524	7	experience	experience	NOUN
ijassa-1481	524	8	,	,	PUNCT
ijassa-1481	524	9	35	35	NUM
ijassa-1481	524	10	,	,	PUNCT
ijassa-1481	524	11	e7610	e7610	NOUN
ijassa-1481	524	12	.	.	PROPN
ijassa-1481	524	13	18	18	NUM
ijassa-1481	524	14	.	.	X
ijassa-1481	524	15	mohammadi	mohammadi	NOUN
ijassa-1481	524	16	,	,	PUNCT
ijassa-1481	524	17	v.	v.	ADV
ijassa-1481	524	18	,	,	PUNCT
ijassa-1481	524	19	rahmani	rahmani	PROPN
ijassa-1481	524	20	,	,	PUNCT
ijassa-1481	524	21	a.	a.	NOUN
ijassa-1481	524	22	m.	m.	NOUN
ijassa-1481	524	23	,	,	PUNCT
ijassa-1481	524	24	darwesh	darwesh	PROPN
ijassa-1481	524	25	,	,	PUNCT
ijassa-1481	524	26	a.	a.	NOUN
ijassa-1481	524	27	,	,	PUNCT
ijassa-1481	524	28	&	&	CCONJ
ijassa-1481	524	29	sahafi	sahafi	PROPN
ijassa-1481	524	30	,	,	PUNCT
ijassa-1481	524	31	a.	a.	NOUN
ijassa-1481	524	32	(	(	PUNCT
ijassa-1481	524	33	2023	2023	NUM
ijassa-1481	524	34	)	)	PUNCT
ijassa-1481	524	35	fault	fault	VERB
ijassa-1481	524	36	tolerance	tolerance	NOUN
ijassa-1481	524	37	in	in	ADP
ijassa-1481	524	38	fog	fog	NOUN
ijassa-1481	524	39	-	-	PUNCT
ijassa-1481	524	40	based	base	VERB
ijassa-1481	524	41	social	social	ADJ
ijassa-1481	524	42	internet	internet	NOUN
ijassa-1481	524	43	of	of	ADP
ijassa-1481	524	44	things	thing	NOUN
ijassa-1481	524	45	.	.	PUNCT
ijassa-1481	525	1	knowledge	knowledge	NOUN
ijassa-1481	525	2	-	-	PUNCT
ijassa-1481	525	3	based	base	VERB
ijassa-1481	525	4	systems	system	NOUN
ijassa-1481	525	5	,	,	PUNCT
ijassa-1481	525	6	265	265	NUM
ijassa-1481	525	7	,	,	PUNCT
ijassa-1481	525	8	110376	110376	NUM
ijassa-1481	525	9	.	.	PUNCT
ijassa-1481	526	1	19	19	NUM
ijassa-1481	526	2	.	.	PUNCT
ijassa-1481	527	1	semmoud	semmoud	PROPN
ijassa-1481	527	2	,	,	PUNCT
ijassa-1481	527	3	a.	a.	PROPN
ijassa-1481	527	4	,	,	PUNCT
ijassa-1481	527	5	hakem	hakem	NOUN
ijassa-1481	527	6	,	,	PUNCT
ijassa-1481	527	7	m.	m.	NOUN
ijassa-1481	527	8	,	,	PUNCT
ijassa-1481	527	9	benmammar	benmammar	PROPN
ijassa-1481	527	10	,	,	PUNCT
ijassa-1481	527	11	b.	b.	PROPN
ijassa-1481	527	12	,	,	PUNCT
ijassa-1481	527	13	&	&	CCONJ
ijassa-1481	527	14	charr	charr	PROPN
ijassa-1481	527	15	,	,	PUNCT
ijassa-1481	527	16	j.-c	j.-c	PROPN
ijassa-1481	527	17	.	.	PUNCT
ijassa-1481	528	1	(	(	PUNCT
ijassa-1481	528	2	2022	2022	NUM
ijassa-1481	528	3	)	)	PUNCT
ijassa-1481	528	4	a	a	DET
ijassa-1481	528	5	new	new	ADJ
ijassa-1481	528	6	faulttolerant	faulttolerant	ADJ
ijassa-1481	528	7	algorithm	algorithm	NOUN
ijassa-1481	528	8	based	base	VERB
ijassa-1481	528	9	on	on	ADP
ijassa-1481	528	10	replication	replication	NOUN
ijassa-1481	528	11	and	and	CCONJ
ijassa-1481	528	12	preemptive	preemptive	ADJ
ijassa-1481	528	13	migration	migration	NOUN
ijassa-1481	528	14	in	in	ADP
ijassa-1481	528	15	cloud	cloud	NOUN
ijassa-1481	528	16	computing	computing	NOUN
ijassa-1481	528	17	.	.	PUNCT
ijassa-1481	529	1	international	international	ADJ
ijassa-1481	529	2	journal	journal	PROPN
ijassa-1481	529	3	of	of	ADP
ijassa-1481	529	4	cloud	cloud	NOUN
ijassa-1481	529	5	applications	application	NOUN
ijassa-1481	529	6	and	and	CCONJ
ijassa-1481	529	7	computing	computing	NOUN
ijassa-1481	529	8	(	(	PUNCT
ijassa-1481	529	9	ijcac	ijcac	NOUN
ijassa-1481	529	10	)	)	PUNCT
ijassa-1481	529	11	,	,	PUNCT
ijassa-1481	529	12	12	12	NUM
ijassa-1481	529	13	,	,	PUNCT
ijassa-1481	529	14	1–14	1–14	PROPN
ijassa-1481	529	15	.	.	PROPN
ijassa-1481	529	16	20	20	NUM
ijassa-1481	529	17	.	.	PUNCT
ijassa-1481	530	1	naim	naim	PROPN
ijassa-1481	530	2	,	,	PUNCT
ijassa-1481	530	3	m.	m.	PROPN
ijassa-1481	530	4	h.	h.	PROPN
ijassa-1481	530	5	,	,	PUNCT
ijassa-1481	530	6	zain	zain	PROPN
ijassa-1481	530	7	,	,	PUNCT
ijassa-1481	530	8	j.	j.	PROPN
ijassa-1481	530	9	m.	m.	PROPN
ijassa-1481	530	10	,	,	PUNCT
ijassa-1481	530	11	&	&	CCONJ
ijassa-1481	530	12	abd	abd	PROPN
ijassa-1481	530	13	jalil	jalil	PROPN
ijassa-1481	530	14	,	,	PUNCT
ijassa-1481	530	15	k.	k.	PROPN
ijassa-1481	530	16	(	(	PUNCT
ijassa-1481	530	17	2022	2022	NUM
ijassa-1481	530	18	)	)	PUNCT
ijassa-1481	530	19	fault	fault	VERB
ijassa-1481	530	20	tolerance	tolerance	NOUN
ijassa-1481	530	21	mechanism	mechanism	NOUN
ijassa-1481	530	22	for	for	ADP
ijassa-1481	530	23	software	software	NOUN
ijassa-1481	530	24	application	application	NOUN
ijassa-1481	530	25	through	through	ADP
ijassa-1481	530	26	fog	fog	NOUN
ijassa-1481	530	27	computing	computing	NOUN
ijassa-1481	530	28	as	as	ADP
ijassa-1481	530	29	middleware	middleware	NOUN
ijassa-1481	530	30	.	.	PUNCT
ijassa-1481	531	1	international	international	ADJ
ijassa-1481	531	2	journal	journal	PROPN
ijassa-1481	531	3	of	of	ADP
ijassa-1481	531	4	computing	computing	NOUN
ijassa-1481	531	5	and	and	CCONJ
ijassa-1481	531	6	digital	digital	ADJ
ijassa-1481	531	7	systems	system	NOUN
ijassa-1481	531	8	,	,	PUNCT
ijassa-1481	531	9	11	11	NUM
ijassa-1481	531	10	,	,	PUNCT
ijassa-1481	531	11	45–54	45–54	NUM
ijassa-1481	531	12	.	.	PUNCT
ijassa-1481	532	1	copyright	copyright	NOUN
ijassa-1481	532	2	©	©	PROPN
ijassa-1481	532	3	2024	2024	NUM
ijassa-1481	532	4	assa	assa	NOUN
ijassa-1481	532	5	.	.	PUNCT
ijassa-1481	533	1	adv	adv	PROPN
ijassa-1481	533	2	syst	syst	PROPN
ijassa-1481	533	3	sci	sci	PROPN
ijassa-1481	533	4	appl	appl	PROPN
ijassa-1481	533	5	(	(	PUNCT
ijassa-1481	533	6	2024	2024	NUM
ijassa-1481	533	7	)	)	PUNCT
ijassa-1481	533	8	introduction	introduction	NOUN
ijassa-1481	533	9	analysis	analysis	NOUN
ijassa-1481	533	10	of	of	ADP
ijassa-1481	533	11	factors	factor	NOUN
ijassa-1481	533	12	affecting	affect	VERB
ijassa-1481	533	13	reliability	reliability	NOUN
ijassa-1481	533	14	and	and	CCONJ
ijassa-1481	533	15	survivability	survivability	NOUN
ijassa-1481	533	16	of	of	ADP
ijassa-1481	533	17	control	control	NOUN
ijassa-1481	533	18	and	and	CCONJ
ijassa-1481	533	19	communication	communication	NOUN
ijassa-1481	533	20	systems	system	NOUN
ijassa-1481	533	21	information	information	NOUN
ijassa-1481	533	22	redundancy	redundancy	NOUN
ijassa-1481	533	23	in	in	ADP
ijassa-1481	533	24	cloud	cloud	ADJ
ijassa-1481	533	25	storage	storage	NOUN
ijassa-1481	533	26	systems	system	NOUN
ijassa-1481	533	27	principles	principle	NOUN
ijassa-1481	533	28	of	of	ADP
ijassa-1481	533	29	introducing	introduce	VERB
ijassa-1481	533	30	information	information	NOUN
ijassa-1481	533	31	redundancy	redundancy	NOUN
ijassa-1481	533	32	in	in	ADP
ijassa-1481	533	33	the	the	DET
ijassa-1481	533	34	rns	rn	NOUN
ijassa-1481	533	35	estimation	estimation	NOUN
ijassa-1481	533	36	of	of	ADP
ijassa-1481	533	37	corrective	corrective	ADJ
ijassa-1481	533	38	capacity	capacity	NOUN
ijassa-1481	533	39	of	of	ADP
ijassa-1481	533	40	codes	code	NOUN
ijassa-1481	533	41	in	in	ADP
ijassa-1481	533	42	rns	rn	NOUN
ijassa-1481	533	43	algorithms	algorithm	NOUN
ijassa-1481	533	44	for	for	ADP
ijassa-1481	533	45	error	error	NOUN
ijassa-1481	533	46	detection	detection	NOUN
ijassa-1481	533	47	in	in	ADP
ijassa-1481	533	48	rns	rn	NOUN
ijassa-1481	533	49	error	error	NOUN
ijassa-1481	533	50	detection	detection	NOUN
ijassa-1481	533	51	algorithm	algorithm	NOUN
ijassa-1481	533	52	using	use	VERB
ijassa-1481	533	53	positional	positional	ADJ
ijassa-1481	533	54	features	feature	VERB
ijassa-1481	533	55	structural	structural	ADJ
ijassa-1481	533	56	redundancy	redundancy	NOUN
ijassa-1481	533	57	in	in	ADP
ijassa-1481	533	58	cloud	cloud	ADJ
ijassa-1481	533	59	storage	storage	NOUN
ijassa-1481	533	60	systems	system	NOUN
ijassa-1481	533	61	reliability	reliability	NOUN
ijassa-1481	533	62	of	of	ADP
ijassa-1481	533	63	non	non	ADJ
ijassa-1481	533	64	-	-	ADJ
ijassa-1481	533	65	recoverable	recoverable	ADJ
ijassa-1481	533	66	redundant	redundant	ADJ
ijassa-1481	533	67	facilities	facility	NOUN
ijassa-1481	533	68	total	total	VERB
ijassa-1481	533	69	hot	hot	ADJ
ijassa-1481	533	70	spare	spare	ADJ
ijassa-1481	533	71	capacity	capacity	NOUN
ijassa-1481	533	72	with	with	ADP
ijassa-1481	533	73	integer	integer	NOUN
ijassa-1481	533	74	multiplicity	multiplicity	NOUN
ijassa-1481	533	75	separate	separate	ADJ
ijassa-1481	533	76	hot	hot	ADJ
ijassa-1481	533	77	spare	spare	ADJ
ijassa-1481	533	78	capacity	capacity	NOUN
ijassa-1481	533	79	with	with	ADP
ijassa-1481	533	80	integer	integer	NOUN
ijassa-1481	533	81	multiplicity	multiplicity	NOUN
ijassa-1481	533	82	hot	hot	ADJ
ijassa-1481	533	83	spare	spare	ADJ
ijassa-1481	533	84	capacity	capacity	NOUN
ijassa-1481	533	85	with	with	ADP
ijassa-1481	533	86	fractional	fractional	ADJ
ijassa-1481	533	87	multiplicity	multiplicity	NOUN
ijassa-1481	533	88	cold	cold	ADJ
ijassa-1481	533	89	backup	backup	NOUN
ijassa-1481	533	90	with	with	ADP
ijassa-1481	533	91	integer	integer	PROPN
ijassa-1481	533	92	multiplicity	multiplicity	NOUN
ijassa-1481	533	93	separate	separate	ADJ
ijassa-1481	533	94	cold	cold	ADJ
ijassa-1481	533	95	backup	backup	NOUN
ijassa-1481	533	96	with	with	ADP
ijassa-1481	533	97	integer	integer	NOUN
ijassa-1481	533	98	multiplicity	multiplicity	NOUN
ijassa-1481	533	99	sliding	slide	VERB
ijassa-1481	533	100	reservation	reservation	NOUN
ijassa-1481	533	101	principles	principle	NOUN
ijassa-1481	533	102	of	of	ADP
ijassa-1481	533	103	building	build	VERB
ijassa-1481	533	104	a	a	DET
ijassa-1481	533	105	fault	fault	NOUN
ijassa-1481	533	106	tolerant	tolerant	ADJ
ijassa-1481	533	107	cloud	cloud	NOUN
ijassa-1481	533	108	system	system	NOUN
ijassa-1481	533	109	structure	structure	NOUN
ijassa-1481	533	110	of	of	ADP
ijassa-1481	533	111	fault	fault	NOUN
ijassa-1481	533	112	tolerant	tolerant	ADJ
ijassa-1481	533	113	data	datum	NOUN
ijassa-1481	533	114	storage	storage	NOUN
ijassa-1481	533	115	and	and	CCONJ
ijassa-1481	533	116	processing	processing	NOUN
ijassa-1481	533	117	system	system	NOUN
ijassa-1481	533	118	in	in	ADP
ijassa-1481	533	119	cloud	cloud	PROPN
ijassa-1481	533	120	fog	fog	PROPN
ijassa-1481	533	121	environment	environment	NOUN
ijassa-1481	533	122	structure	structure	NOUN
ijassa-1481	533	123	of	of	ADP
ijassa-1481	533	124	a	a	DET
ijassa-1481	533	125	fault	fault	NOUN
ijassa-1481	533	126	tolerant	tolerant	ADJ
ijassa-1481	533	127	data	datum	NOUN
ijassa-1481	533	128	processing	processing	NOUN
ijassa-1481	533	129	system	system	NOUN
ijassa-1481	533	130	in	in	ADP
ijassa-1481	533	131	a	a	DET
ijassa-1481	533	132	fog	fog	NOUN
ijassa-1481	533	133	environment	environment	NOUN
ijassa-1481	533	134	modeling	modeling	NOUN
ijassa-1481	533	135	of	of	ADP
ijassa-1481	533	136	the	the	DET
ijassa-1481	533	137	proposed	propose	VERB
ijassa-1481	533	138	system	system	NOUN
ijassa-1481	533	139	for	for	ADP
ijassa-1481	533	140	reliable	reliable	ADJ
ijassa-1481	533	141	data	datum	NOUN
ijassa-1481	533	142	storage	storage	NOUN
ijassa-1481	533	143	and	and	CCONJ
ijassa-1481	533	144	processing	processing	NOUN
ijassa-1481	533	145	in	in	ADP
ijassa-1481	533	146	fog	fog	PROPN
ijassa-1481	533	147	environment	environment	NOUN
ijassa-1481	533	148	conclusion	conclusion	NOUN
