id	sid	tid	token	lemma	pos
cana-2863	1	1	communications	communication	NOUN
cana-2863	1	2	on	on	ADP
cana-2863	1	3	applied	apply	VERB
cana-2863	1	4	nonlinear	nonlinear	ADJ
cana-2863	1	5	analysis	analysis	NOUN
cana-2863	1	6	issn	issn	NOUN
cana-2863	1	7	:	:	PUNCT
cana-2863	1	8	1074	1074	NUM
cana-2863	1	9	-	-	PUNCT
cana-2863	1	10	133x	133x	NUM
cana-2863	1	11	vol	vol	NOUN
cana-2863	1	12	32	32	NUM
cana-2863	1	13	no	no	NOUN
cana-2863	1	14	.	.	PUNCT
cana-2863	2	1	4s	4s	NUM
cana-2863	2	2	(	(	PUNCT
cana-2863	2	3	2025	2025	NUM
cana-2863	2	4	)	)	PUNCT
cana-2863	2	5	441	441	NUM
cana-2863	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	2	7	customer	customer	NOUN
cana-2863	2	8	impatience	impatience	NOUN
cana-2863	2	9	and	and	CCONJ
cana-2863	2	10	feedback	feedback	NOUN
cana-2863	2	11	mechanism	mechanism	NOUN
cana-2863	2	12	in	in	ADP
cana-2863	2	13	mx	mx	NOUN
cana-2863	2	14	/	/	SYM
cana-2863	2	15	g/1	g/1	NOUN
cana-2863	2	16	retrial	retrial	ADJ
cana-2863	2	17	queue	queue	NOUN
cana-2863	2	18	with	with	ADP
cana-2863	2	19	,	,	PUNCT
cana-2863	2	20	unreliable	unreliable	ADJ
cana-2863	2	21	server	server	NOUN
cana-2863	2	22	,	,	PUNCT
cana-2863	2	23	bernoulli	bernoulli	PROPN
cana-2863	2	24	vacation	vacation	NOUN
cana-2863	2	25	and	and	CCONJ
cana-2863	2	26	customer	customer	NOUN
cana-2863	2	27	search	search	NOUN
cana-2863	2	28	strategies	strategy	NOUN
cana-2863	2	29	k.	k.	PROPN
cana-2863	2	30	kaarunya*1	kaarunya*1	PROPN
cana-2863	2	31	,	,	PUNCT
cana-2863	2	32	d.	d.	PROPN
cana-2863	2	33	sumitha2	sumitha2	PROPN
cana-2863	2	34	*	*	PROPN
cana-2863	2	35	1department	1department	NUM
cana-2863	2	36	of	of	ADP
cana-2863	2	37	mathematics	mathematic	NOUN
cana-2863	2	38	,	,	PUNCT
cana-2863	2	39	avinashilingam	avinashilingam	PROPN
cana-2863	2	40	institute	institute	PROPN
cana-2863	2	41	for	for	ADP
cana-2863	2	42	home	home	NOUN
cana-2863	2	43	science	science	NOUN
cana-2863	2	44	and	and	CCONJ
cana-2863	2	45	higher	high	ADJ
cana-2863	2	46	education	education	NOUN
cana-2863	2	47	for	for	ADP
cana-2863	2	48	women	woman	NOUN
cana-2863	2	49	,	,	PUNCT
cana-2863	2	50	coimbatore	coimbatore	PROPN
cana-2863	2	51	,	,	PUNCT
cana-2863	2	52	tamil	tamil	PROPN
cana-2863	2	53	nadu	nadu	PROPN
cana-2863	2	54	–	–	PUNCT
cana-2863	2	55	601043	601043	NUM
cana-2863	2	56	,	,	PUNCT
cana-2863	2	57	kaarunyakamaraj@gmail.com	kaarunyakamaraj@gmail.com	X
cana-2863	3	1	2department	2department	NUM
cana-2863	3	2	of	of	ADP
cana-2863	3	3	mathematics	mathematic	NOUN
cana-2863	3	4	,	,	PUNCT
cana-2863	3	5	avinashilingam	avinashilingam	PROPN
cana-2863	3	6	institute	institute	PROPN
cana-2863	3	7	for	for	ADP
cana-2863	3	8	home	home	NOUN
cana-2863	3	9	science	science	NOUN
cana-2863	3	10	and	and	CCONJ
cana-2863	3	11	higher	high	ADJ
cana-2863	3	12	education	education	NOUN
cana-2863	3	13	for	for	ADP
cana-2863	3	14	women	woman	NOUN
cana-2863	3	15	,	,	PUNCT
cana-2863	3	16	coimbatore	coimbatore	PROPN
cana-2863	3	17	,	,	PUNCT
cana-2863	3	18	tamil	tamil	PROPN
cana-2863	3	19	nadu	nadu	PROPN
cana-2863	3	20	–	–	PUNCT
cana-2863	3	21	601043	601043	NUM
cana-2863	3	22	,	,	PUNCT
cana-2863	3	23	drsumithad@gmail.com	drsumithad@gmail.com	X
cana-2863	4	1	article	article	NOUN
cana-2863	4	2	history	history	NOUN
cana-2863	4	3	:	:	PUNCT
cana-2863	4	4	received	receive	VERB
cana-2863	4	5	:	:	PUNCT
cana-2863	4	6	28	28	NUM
cana-2863	4	7	-	-	SYM
cana-2863	4	8	09	09	NUM
cana-2863	4	9	-	-	PUNCT
cana-2863	4	10	2024	2024	NUM
cana-2863	4	11	revised	revise	VERB
cana-2863	4	12	:	:	PUNCT
cana-2863	4	13	27	27	NUM
cana-2863	4	14	-	-	SYM
cana-2863	4	15	11	11	NUM
cana-2863	4	16	-	-	PUNCT
cana-2863	4	17	2024	2024	NUM
cana-2863	4	18	accepted	accept	VERB
cana-2863	4	19	:	:	PUNCT
cana-2863	4	20	08	08	NUM
cana-2863	4	21	-	-	SYM
cana-2863	4	22	12	12	NUM
cana-2863	4	23	-	-	PUNCT
cana-2863	4	24	2024	2024	NUM
cana-2863	4	25	abstract	abstract	NOUN
cana-2863	4	26	:	:	PUNCT
cana-2863	4	27	this	this	DET
cana-2863	4	28	article	article	NOUN
cana-2863	4	29	examines	examine	VERB
cana-2863	4	30	a	a	DET
cana-2863	4	31	complex	complex	ADJ
cana-2863	4	32	retrial	retrial	ADJ
cana-2863	4	33	queueing	queue	VERB
cana-2863	4	34	system	system	NOUN
cana-2863	4	35	characterized	characterize	VERB
cana-2863	4	36	by	by	ADP
cana-2863	4	37	unreliable	unreliable	ADJ
cana-2863	4	38	batch	batch	NOUN
cana-2863	4	39	arrival	arrival	NOUN
cana-2863	4	40	,	,	PUNCT
cana-2863	4	41	three	three	NUM
cana-2863	4	42	phases	phase	NOUN
cana-2863	4	43	of	of	ADP
cana-2863	4	44	service	service	NOUN
cana-2863	4	45	,	,	PUNCT
cana-2863	4	46	customer	customer	NOUN
cana-2863	4	47	impatience	impatience	NOUN
cana-2863	4	48	,	,	PUNCT
cana-2863	4	49	feedback	feedback	NOUN
cana-2863	4	50	mechanism	mechanism	NOUN
cana-2863	4	51	,	,	PUNCT
cana-2863	4	52	bernoulli	bernoulli	PROPN
cana-2863	4	53	vacation	vacation	NOUN
cana-2863	4	54	policy	policy	NOUN
cana-2863	4	55	and	and	CCONJ
cana-2863	4	56	customer	customer	NOUN
cana-2863	4	57	search	search	NOUN
cana-2863	4	58	behaviors	behavior	NOUN
cana-2863	4	59	.	.	PUNCT
cana-2863	5	1	in	in	ADP
cana-2863	5	2	this	this	DET
cana-2863	5	3	system	system	NOUN
cana-2863	5	4	,	,	PUNCT
cana-2863	5	5	customer	customer	NOUN
cana-2863	5	6	arrivals	arrival	NOUN
cana-2863	5	7	follow	follow	VERB
cana-2863	5	8	a	a	DET
cana-2863	5	9	poisson	poisson	NOUN
cana-2863	5	10	process	process	NOUN
cana-2863	5	11	.	.	PUNCT
cana-2863	6	1	when	when	SCONJ
cana-2863	6	2	the	the	DET
cana-2863	6	3	server	server	NOUN
cana-2863	6	4	is	be	AUX
cana-2863	6	5	idle	idle	ADJ
cana-2863	6	6	,	,	PUNCT
cana-2863	6	7	one	one	NUM
cana-2863	6	8	customer	customer	NOUN
cana-2863	6	9	from	from	ADP
cana-2863	6	10	the	the	DET
cana-2863	6	11	batch	batch	NOUN
cana-2863	6	12	receives	receive	VERB
cana-2863	6	13	service	service	NOUN
cana-2863	6	14	while	while	SCONJ
cana-2863	6	15	the	the	DET
cana-2863	6	16	others	other	NOUN
cana-2863	6	17	enter	enter	VERB
cana-2863	6	18	a	a	DET
cana-2863	6	19	retrial	retrial	ADJ
cana-2863	6	20	group	group	NOUN
cana-2863	6	21	.	.	PUNCT
cana-2863	7	1	the	the	DET
cana-2863	7	2	server	server	NOUN
cana-2863	7	3	offers	offer	VERB
cana-2863	7	4	essential	essential	ADJ
cana-2863	7	5	service	service	NOUN
cana-2863	7	6	to	to	ADP
cana-2863	7	7	all	all	DET
cana-2863	7	8	the	the	DET
cana-2863	7	9	incoming	incoming	ADJ
cana-2863	7	10	customers	customer	NOUN
cana-2863	7	11	.	.	PUNCT
cana-2863	8	1	if	if	SCONJ
cana-2863	8	2	the	the	DET
cana-2863	8	3	server	server	NOUN
cana-2863	8	4	is	be	AUX
cana-2863	8	5	busy	busy	ADJ
cana-2863	8	6	upon	upon	SCONJ
cana-2863	8	7	arrival	arrival	NOUN
cana-2863	8	8	,	,	PUNCT
cana-2863	8	9	customers	customer	NOUN
cana-2863	8	10	may	may	AUX
cana-2863	8	11	choose	choose	VERB
cana-2863	8	12	to	to	PART
cana-2863	8	13	leave	leave	VERB
cana-2863	8	14	(	(	PUNCT
cana-2863	8	15	balk	balk	NOUN
cana-2863	8	16	)	)	PUNCT
cana-2863	8	17	or	or	CCONJ
cana-2863	8	18	wait	wait	VERB
cana-2863	8	19	in	in	ADP
cana-2863	8	20	the	the	DET
cana-2863	8	21	retrial	retrial	ADJ
cana-2863	8	22	group	group	NOUN
cana-2863	8	23	for	for	ADP
cana-2863	8	24	the	the	DET
cana-2863	8	25	server	server	NOUN
cana-2863	8	26	to	to	PART
cana-2863	8	27	become	become	VERB
cana-2863	8	28	available	available	ADJ
cana-2863	8	29	.	.	PUNCT
cana-2863	9	1	customers	customer	NOUN
cana-2863	9	2	who	who	PRON
cana-2863	9	3	retry	retry	VERB
cana-2863	9	4	either	either	CCONJ
cana-2863	9	5	rejoin	rejoin	VERB
cana-2863	9	6	the	the	DET
cana-2863	9	7	service	service	NOUN
cana-2863	9	8	if	if	SCONJ
cana-2863	9	9	the	the	DET
cana-2863	9	10	server	server	NOUN
cana-2863	9	11	is	be	AUX
cana-2863	9	12	free	free	ADJ
cana-2863	9	13	or	or	CCONJ
cana-2863	9	14	abandon	abandon	VERB
cana-2863	9	15	the	the	DET
cana-2863	9	16	system	system	NOUN
cana-2863	9	17	if	if	SCONJ
cana-2863	9	18	their	their	PRON
cana-2863	9	19	retrial	retrial	ADJ
cana-2863	9	20	attempts	attempt	NOUN
cana-2863	9	21	fail	fail	VERB
cana-2863	9	22	(	(	PUNCT
cana-2863	9	23	renege	renege	VERB
cana-2863	9	24	)	)	PUNCT
cana-2863	9	25	.	.	PUNCT
cana-2863	10	1	the	the	DET
cana-2863	10	2	server	server	NOUN
cana-2863	10	3	may	may	AUX
cana-2863	10	4	randomly	randomly	ADV
cana-2863	10	5	breakdown	breakdown	NOUN
cana-2863	10	6	during	during	ADP
cana-2863	10	7	any	any	DET
cana-2863	10	8	phases	phase	NOUN
cana-2863	10	9	of	of	ADP
cana-2863	10	10	service	service	NOUN
cana-2863	10	11	and	and	CCONJ
cana-2863	10	12	the	the	DET
cana-2863	10	13	repair	repair	NOUN
cana-2863	10	14	starts	start	VERB
cana-2863	10	15	immediately	immediately	ADV
cana-2863	10	16	.	.	PUNCT
cana-2863	11	1	after	after	ADP
cana-2863	11	2	completion	completion	NOUN
cana-2863	11	3	of	of	ADP
cana-2863	11	4	repair	repair	NOUN
cana-2863	11	5	,	,	PUNCT
cana-2863	11	6	the	the	DET
cana-2863	11	7	server	server	NOUN
cana-2863	11	8	continues	continue	VERB
cana-2863	11	9	to	to	PART
cana-2863	11	10	serve	serve	VERB
cana-2863	11	11	the	the	DET
cana-2863	11	12	interrupted	interrupted	ADJ
cana-2863	11	13	customer	customer	NOUN
cana-2863	11	14	in	in	ADP
cana-2863	11	15	the	the	DET
cana-2863	11	16	system	system	NOUN
cana-2863	11	17	.	.	PUNCT
cana-2863	12	1	after	after	ADP
cana-2863	12	2	completing	complete	VERB
cana-2863	12	3	each	each	DET
cana-2863	12	4	phase	phase	NOUN
cana-2863	12	5	of	of	ADP
cana-2863	12	6	service	service	NOUN
cana-2863	12	7	,	,	PUNCT
cana-2863	12	8	the	the	DET
cana-2863	12	9	customer	customer	NOUN
cana-2863	12	10	may	may	AUX
cana-2863	12	11	either	either	CCONJ
cana-2863	12	12	opt	opt	VERB
cana-2863	12	13	for	for	ADP
cana-2863	12	14	optional	optional	ADJ
cana-2863	12	15	service	service	NOUN
cana-2863	12	16	,	,	PUNCT
cana-2863	12	17	or	or	CCONJ
cana-2863	12	18	join	join	VERB
cana-2863	12	19	the	the	DET
cana-2863	12	20	retrial	retrial	ADJ
cana-2863	12	21	group	group	NOUN
cana-2863	12	22	as	as	ADP
cana-2863	12	23	a	a	DET
cana-2863	12	24	feedback	feedback	NOUN
cana-2863	12	25	customer	customer	NOUN
cana-2863	12	26	,	,	PUNCT
cana-2863	12	27	or	or	CCONJ
cana-2863	12	28	leave	leave	VERB
cana-2863	12	29	the	the	DET
cana-2863	12	30	system	system	NOUN
cana-2863	12	31	.	.	PUNCT
cana-2863	13	1	upon	upon	SCONJ
cana-2863	13	2	completion	completion	NOUN
cana-2863	13	3	of	of	ADP
cana-2863	13	4	the	the	DET
cana-2863	13	5	first	first	ADJ
cana-2863	13	6	essential	essential	ADJ
cana-2863	13	7	phase	phase	NOUN
cana-2863	13	8	or	or	CCONJ
cana-2863	13	9	second	second	ADJ
cana-2863	13	10	optional	optional	ADJ
cana-2863	13	11	phase	phase	NOUN
cana-2863	13	12	,	,	PUNCT
cana-2863	13	13	if	if	SCONJ
cana-2863	13	14	the	the	DET
cana-2863	13	15	server	server	NOUN
cana-2863	13	16	is	be	AUX
cana-2863	13	17	idle	idle	ADJ
cana-2863	13	18	,	,	PUNCT
cana-2863	13	19	it	it	PRON
cana-2863	13	20	searches	search	VERB
cana-2863	13	21	for	for	ADP
cana-2863	13	22	customers	customer	NOUN
cana-2863	13	23	if	if	SCONJ
cana-2863	13	24	available	available	ADJ
cana-2863	13	25	in	in	ADP
cana-2863	13	26	the	the	DET
cana-2863	13	27	retrial	retrial	ADJ
cana-2863	13	28	group	group	NOUN
cana-2863	13	29	with	with	ADP
cana-2863	13	30	a	a	DET
cana-2863	13	31	certain	certain	ADJ
cana-2863	13	32	probability	probability	NOUN
cana-2863	13	33	.	.	PUNCT
cana-2863	14	1	after	after	ADP
cana-2863	14	2	completing	complete	VERB
cana-2863	14	3	the	the	DET
cana-2863	14	4	third	third	ADJ
cana-2863	14	5	optional	optional	ADJ
cana-2863	14	6	phase	phase	NOUN
cana-2863	14	7	,	,	PUNCT
cana-2863	14	8	the	the	DET
cana-2863	14	9	server	server	NOUN
cana-2863	14	10	goes	go	VERB
cana-2863	14	11	on	on	ADP
cana-2863	14	12	a	a	DET
cana-2863	14	13	bernoulli	bernoulli	NOUN
cana-2863	14	14	vacation	vacation	NOUN
cana-2863	14	15	with	with	ADP
cana-2863	14	16	certain	certain	ADJ
cana-2863	14	17	probability	probability	NOUN
cana-2863	14	18	.	.	PUNCT
cana-2863	15	1	the	the	DET
cana-2863	15	2	retrial	retrial	NOUN
cana-2863	15	3	,	,	PUNCT
cana-2863	15	4	service	service	NOUN
cana-2863	15	5	,	,	PUNCT
cana-2863	15	6	repair	repair	NOUN
cana-2863	15	7	and	and	CCONJ
cana-2863	15	8	vacation	vacation	NOUN
cana-2863	15	9	times	time	NOUN
cana-2863	15	10	are	be	AUX
cana-2863	15	11	arbitrarily	arbitrarily	ADV
cana-2863	15	12	distributed	distribute	VERB
cana-2863	15	13	.	.	PUNCT
cana-2863	16	1	by	by	ADP
cana-2863	16	2	using	use	VERB
cana-2863	16	3	the	the	DET
cana-2863	16	4	supplementary	supplementary	ADJ
cana-2863	16	5	variable	variable	ADJ
cana-2863	16	6	technique	technique	NOUN
cana-2863	16	7	,	,	PUNCT
cana-2863	16	8	various	various	ADJ
cana-2863	16	9	system	system	NOUN
cana-2863	16	10	state	state	NOUN
cana-2863	16	11	measures	measure	NOUN
cana-2863	16	12	and	and	CCONJ
cana-2863	16	13	reliability	reliability	NOUN
cana-2863	16	14	measures	measure	NOUN
cana-2863	16	15	are	be	AUX
cana-2863	16	16	derived	derive	VERB
cana-2863	16	17	.	.	PUNCT
cana-2863	17	1	the	the	DET
cana-2863	17	2	effects	effect	NOUN
cana-2863	17	3	of	of	ADP
cana-2863	17	4	various	various	ADJ
cana-2863	17	5	parameters	parameter	NOUN
cana-2863	17	6	on	on	ADP
cana-2863	17	7	these	these	DET
cana-2863	17	8	system	system	NOUN
cana-2863	17	9	measures	measure	NOUN
cana-2863	17	10	are	be	AUX
cana-2863	17	11	analyzed	analyze	VERB
cana-2863	17	12	through	through	ADP
cana-2863	17	13	numerical	numerical	ADJ
cana-2863	17	14	examples	example	NOUN
cana-2863	17	15	.	.	PUNCT
cana-2863	18	1	keywords	keyword	NOUN
cana-2863	18	2	:	:	PUNCT
cana-2863	18	3	batch	batch	NOUN
cana-2863	18	4	arrival	arrival	NOUN
cana-2863	18	5	,	,	PUNCT
cana-2863	18	6	customer	customer	NOUN
cana-2863	18	7	impatience	impatience	NOUN
cana-2863	18	8	,	,	PUNCT
cana-2863	18	9	feedback	feedback	NOUN
cana-2863	18	10	,	,	PUNCT
cana-2863	18	11	customer	customer	NOUN
cana-2863	18	12	search	search	NOUN
cana-2863	18	13	and	and	CCONJ
cana-2863	18	14	bernoulli	bernoulli	NOUN
cana-2863	18	15	vacation	vacation	NOUN
cana-2863	18	16	.	.	PUNCT
cana-2863	19	1	1	1	X
cana-2863	19	2	.	.	X
cana-2863	19	3	introduction	introduction	NOUN
cana-2863	19	4	in	in	ADP
cana-2863	19	5	the	the	DET
cana-2863	19	6	past	past	ADJ
cana-2863	19	7	few	few	ADJ
cana-2863	19	8	decades	decade	NOUN
cana-2863	19	9	,	,	PUNCT
cana-2863	19	10	queueing	queue	VERB
cana-2863	19	11	models	model	NOUN
cana-2863	19	12	with	with	ADP
cana-2863	19	13	retrials	retrial	NOUN
cana-2863	19	14	have	have	VERB
cana-2863	19	15	significant	significant	ADJ
cana-2863	19	16	contributions	contribution	NOUN
cana-2863	19	17	in	in	ADP
cana-2863	19	18	the	the	DET
cana-2863	19	19	fields	field	NOUN
cana-2863	19	20	of	of	ADP
cana-2863	19	21	computer	computer	NOUN
cana-2863	19	22	networks	network	NOUN
cana-2863	19	23	and	and	CCONJ
cana-2863	19	24	communication	communication	NOUN
cana-2863	19	25	systems	system	NOUN
cana-2863	19	26	.	.	PUNCT
cana-2863	20	1	the	the	DET
cana-2863	20	2	arriving	arrive	VERB
cana-2863	20	3	customers	customer	NOUN
cana-2863	20	4	are	be	AUX
cana-2863	20	5	served	serve	VERB
cana-2863	20	6	according	accord	VERB
cana-2863	20	7	to	to	ADP
cana-2863	20	8	first	first	ADV
cana-2863	20	9	come	come	VERB
cana-2863	20	10	,	,	PUNCT
cana-2863	20	11	first	first	ADV
cana-2863	20	12	served	serve	VERB
cana-2863	20	13	basis	basis	NOUN
cana-2863	20	14	.	.	PUNCT
cana-2863	21	1	in	in	ADP
cana-2863	21	2	retrial	retrial	ADJ
cana-2863	21	3	queueing	queueing	NOUN
cana-2863	21	4	system	system	NOUN
cana-2863	21	5	,	,	PUNCT
cana-2863	21	6	the	the	DET
cana-2863	21	7	customer	customer	NOUN
cana-2863	21	8	who	who	PRON
cana-2863	21	9	finds	find	VERB
cana-2863	21	10	the	the	DET
cana-2863	21	11	server	server	NOUN
cana-2863	21	12	busy	busy	ADJ
cana-2863	21	13	leaves	leave	VERB
cana-2863	21	14	the	the	DET
cana-2863	21	15	service	service	NOUN
cana-2863	21	16	area	area	NOUN
cana-2863	21	17	and	and	CCONJ
cana-2863	21	18	joins	join	VERB
cana-2863	21	19	the	the	DET
cana-2863	21	20	retrial	retrial	ADJ
cana-2863	21	21	group	group	NOUN
cana-2863	21	22	to	to	PART
cana-2863	21	23	get	get	VERB
cana-2863	21	24	service	service	NOUN
cana-2863	21	25	after	after	ADP
cana-2863	21	26	random	random	ADJ
cana-2863	21	27	amount	amount	NOUN
cana-2863	21	28	of	of	ADP
cana-2863	21	29	time	time	NOUN
cana-2863	21	30	.	.	PUNCT
cana-2863	22	1	“	"	PUNCT
cana-2863	22	2	retrial	retrial	ADJ
cana-2863	22	3	queue	queue	NOUN
cana-2863	22	4	”	"	PUNCT
cana-2863	22	5	with	with	ADP
cana-2863	22	6	phase	phase	NOUN
cana-2863	22	7	services	service	NOUN
cana-2863	22	8	have	have	AUX
cana-2863	22	9	been	be	AUX
cana-2863	22	10	studied	study	VERB
cana-2863	22	11	by	by	ADP
cana-2863	22	12	various	various	ADJ
cana-2863	22	13	researchers	researcher	NOUN
cana-2863	22	14	.	.	PUNCT
cana-2863	23	1	senthil	senthil	PROPN
cana-2863	23	2	kumar	kumar	PROPN
cana-2863	23	3	and	and	CCONJ
cana-2863	23	4	arumuganathan	arumuganathan	PROPN
cana-2863	23	5	(	(	PUNCT
cana-2863	23	6	2010	2010	NUM
cana-2863	23	7	)	)	PUNCT
cana-2863	23	8	analyzed	analyze	VERB
cana-2863	23	9	mx	mx	NOUN
cana-2863	23	10	/	/	SYM
cana-2863	23	11	g/1	g/1	NOUN
cana-2863	23	12	retrial	retrial	ADJ
cana-2863	23	13	queue	queue	NOUN
cana-2863	23	14	with	with	ADP
cana-2863	23	15	two	two	NUM
cana-2863	23	16	phase	phase	NOUN
cana-2863	23	17	service	service	NOUN
cana-2863	23	18	and	and	CCONJ
cana-2863	23	19	two	two	NUM
cana-2863	23	20	types	type	NOUN
cana-2863	23	21	of	of	ADP
cana-2863	23	22	repair	repair	NOUN
cana-2863	23	23	.	.	PUNCT
cana-2863	24	1	zadeh	zadeh	PROPN
cana-2863	24	2	(	(	PUNCT
cana-2863	24	3	2015	2015	NUM
cana-2863	24	4	)	)	PUNCT
cana-2863	24	5	investigated	investigate	VERB
cana-2863	24	6	a	a	DET
cana-2863	24	7	batch	batch	NOUN
cana-2863	24	8	arrival	arrival	NOUN
cana-2863	24	9	multi	multi	ADJ
cana-2863	24	10	-	-	ADJ
cana-2863	24	11	phase	phase	NOUN
cana-2863	24	12	queueing	queue	VERB
cana-2863	24	13	system	system	NOUN
cana-2863	24	14	with	with	ADP
cana-2863	24	15	feedback	feedback	NOUN
cana-2863	24	16	and	and	CCONJ
cana-2863	24	17	single	single	ADJ
cana-2863	24	18	vacation	vacation	NOUN
cana-2863	24	19	policy	policy	NOUN
cana-2863	24	20	.	.	PUNCT
cana-2863	25	1	tomar	tomar	NOUN
cana-2863	25	2	and	and	CCONJ
cana-2863	25	3	shrivatsav	shrivatsav	PROPN
cana-2863	25	4	(	(	PUNCT
cana-2863	25	5	2020	2020	NUM
cana-2863	25	6	)	)	PUNCT
cana-2863	25	7	obtained	obtain	VERB
cana-2863	25	8	the	the	DET
cana-2863	25	9	transient	transient	ADJ
cana-2863	25	10	and	and	CCONJ
cana-2863	25	11	steady	steady	ADJ
cana-2863	25	12	state	state	NOUN
cana-2863	25	13	analysis	analysis	NOUN
cana-2863	25	14	of	of	ADP
cana-2863	25	15	unreliable	unreliable	ADJ
cana-2863	25	16	three	three	NUM
cana-2863	25	17	phase	phase	NOUN
cana-2863	25	18	retrial	retrial	NOUN
cana-2863	25	19	queueing	queue	VERB
cana-2863	25	20	system	system	NOUN
cana-2863	25	21	.	.	PUNCT
cana-2863	26	1	mailto:kaarunyakamaraj@gmail.com	mailto:kaarunyakamaraj@gmail.com	X
cana-2863	26	2	mailto:drsumithad@gmail.com	mailto:drsumithad@gmail.com	X
cana-2863	27	1	communications	communication	NOUN
cana-2863	27	2	on	on	ADP
cana-2863	27	3	applied	apply	VERB
cana-2863	27	4	nonlinear	nonlinear	ADJ
cana-2863	27	5	analysis	analysis	NOUN
cana-2863	27	6	issn	issn	NOUN
cana-2863	27	7	:	:	PUNCT
cana-2863	27	8	1074	1074	NUM
cana-2863	27	9	-	-	PUNCT
cana-2863	27	10	133x	133x	NUM
cana-2863	27	11	vol	vol	NOUN
cana-2863	27	12	32	32	NUM
cana-2863	27	13	no	no	NOUN
cana-2863	27	14	.	.	PUNCT
cana-2863	28	1	4s	4s	NUM
cana-2863	28	2	(	(	PUNCT
cana-2863	28	3	2025	2025	NUM
cana-2863	28	4	)	)	PUNCT
cana-2863	28	5	442	442	NUM
cana-2863	28	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	28	7	“	"	PUNCT
cana-2863	28	8	impatient	impatient	ADJ
cana-2863	28	9	customers	customer	NOUN
cana-2863	28	10	”	"	PUNCT
cana-2863	28	11	generally	generally	ADV
cana-2863	28	12	balk	balk	VERB
cana-2863	28	13	or	or	CCONJ
cana-2863	28	14	renege	renege	VERB
cana-2863	28	15	at	at	ADP
cana-2863	28	16	the	the	DET
cana-2863	28	17	system	system	NOUN
cana-2863	28	18	.	.	PUNCT
cana-2863	29	1	arrar	arrar	NOUN
cana-2863	29	2	et	et	PROPN
cana-2863	29	3	al	al	PROPN
cana-2863	29	4	.	.	PROPN
cana-2863	30	1	(	(	PUNCT
cana-2863	30	2	2012	2012	NUM
cana-2863	30	3	)	)	PUNCT
cana-2863	30	4	examined	examine	VERB
cana-2863	30	5	the	the	DET
cana-2863	30	6	behaviour	behaviour	NOUN
cana-2863	30	7	of	of	ADP
cana-2863	30	8	batch	batch	NOUN
cana-2863	30	9	arrival	arrival	NOUN
cana-2863	30	10	retrial	retrial	ADJ
cana-2863	30	11	queue	queue	NOUN
cana-2863	30	12	with	with	ADP
cana-2863	30	13	impatient	impatient	ADJ
cana-2863	30	14	phenomenon	phenomenon	NOUN
cana-2863	30	15	.	.	PUNCT
cana-2863	31	1	sumitha	sumitha	PROPN
cana-2863	31	2	and	and	CCONJ
cana-2863	31	3	udaya	udaya	PROPN
cana-2863	31	4	chandrika	chandrika	NOUN
cana-2863	31	5	(	(	PUNCT
cana-2863	31	6	2016	2016	NUM
cana-2863	31	7	)	)	PUNCT
cana-2863	31	8	modeled	model	VERB
cana-2863	31	9	two	two	NUM
cana-2863	31	10	phase	phase	NOUN
cana-2863	31	11	retrial	retrial	ADJ
cana-2863	31	12	queue	queue	NOUN
cana-2863	31	13	with	with	ADP
cana-2863	31	14	impatient	impatient	ADJ
cana-2863	31	15	customers	customer	NOUN
cana-2863	31	16	,	,	PUNCT
cana-2863	31	17	bernoulli	bernoulli	PROPN
cana-2863	31	18	vacation	vacation	NOUN
cana-2863	31	19	and	and	CCONJ
cana-2863	31	20	orbital	orbital	ADJ
cana-2863	31	21	search	search	NOUN
cana-2863	31	22	.	.	PUNCT
cana-2863	32	1	arienzo	arienzo	NOUN
cana-2863	32	2	et	et	PROPN
cana-2863	32	3	al	al	PROPN
cana-2863	32	4	.	.	PROPN
cana-2863	33	1	(	(	PUNCT
cana-2863	33	2	2020	2020	NUM
cana-2863	33	3	)	)	PUNCT
cana-2863	33	4	analysed	analyse	VERB
cana-2863	33	5	group	group	NOUN
cana-2863	33	6	service	service	NOUN
cana-2863	33	7	of	of	ADP
cana-2863	33	8	impatient	impatient	ADJ
cana-2863	33	9	customers	customer	NOUN
cana-2863	33	10	in	in	ADP
cana-2863	33	11	retrial	retrial	ADJ
cana-2863	33	12	queue	queue	NOUN
cana-2863	33	13	.	.	PUNCT
cana-2863	34	1	“	"	PUNCT
cana-2863	34	2	breakdowns	breakdown	NOUN
cana-2863	34	3	”	"	PUNCT
cana-2863	34	4	are	be	AUX
cana-2863	34	5	unavoidable	unavoidable	ADJ
cana-2863	34	6	in	in	ADP
cana-2863	34	7	many	many	ADJ
cana-2863	34	8	situations	situation	NOUN
cana-2863	34	9	.	.	PUNCT
cana-2863	35	1	if	if	SCONJ
cana-2863	35	2	the	the	DET
cana-2863	35	3	server	server	NOUN
cana-2863	35	4	is	be	AUX
cana-2863	35	5	experiencing	experience	VERB
cana-2863	35	6	issues	issue	NOUN
cana-2863	35	7	,	,	PUNCT
cana-2863	35	8	it	it	PRON
cana-2863	35	9	needs	need	VERB
cana-2863	35	10	to	to	PART
cana-2863	35	11	be	be	AUX
cana-2863	35	12	repaired	repair	VERB
cana-2863	35	13	.	.	PUNCT
cana-2863	36	1	djellab	djellab	PROPN
cana-2863	36	2	(	(	PUNCT
cana-2863	36	3	2002	2002	NUM
cana-2863	36	4	)	)	PUNCT
cana-2863	36	5	presented	present	VERB
cana-2863	36	6	a	a	DET
cana-2863	36	7	retrial	retrial	NOUN
cana-2863	36	8	queueing	queue	VERB
cana-2863	36	9	system	system	NOUN
cana-2863	36	10	with	with	ADP
cana-2863	36	11	breakdown	breakdown	NOUN
cana-2863	36	12	.	.	PUNCT
cana-2863	37	1	singh	singh	PROPN
cana-2863	37	2	and	and	CCONJ
cana-2863	37	3	kaur	kaur	PROPN
cana-2863	37	4	(	(	PUNCT
cana-2863	37	5	2017	2017	NUM
cana-2863	37	6	)	)	PUNCT
cana-2863	37	7	performed	perform	VERB
cana-2863	37	8	the	the	DET
cana-2863	37	9	sensitivity	sensitivity	NOUN
cana-2863	37	10	analysis	analysis	NOUN
cana-2863	37	11	of	of	ADP
cana-2863	37	12	unreliable	unreliable	ADJ
cana-2863	37	13	server	server	NOUN
cana-2863	37	14	retrial	retrial	ADJ
cana-2863	37	15	queue	queue	NOUN
cana-2863	37	16	with	with	ADP
cana-2863	37	17	optional	optional	ADJ
cana-2863	37	18	service	service	NOUN
cana-2863	37	19	,	,	PUNCT
cana-2863	37	20	multi	multi	ADJ
cana-2863	37	21	-	-	ADJ
cana-2863	37	22	phase	phase	NOUN
cana-2863	37	23	repair	repair	NOUN
cana-2863	37	24	and	and	CCONJ
cana-2863	37	25	bernoulli	bernoulli	NOUN
cana-2863	37	26	vacation	vacation	NOUN
cana-2863	37	27	.	.	PUNCT
cana-2863	38	1	kuki	kuki	PROPN
cana-2863	38	2	et	et	PROPN
cana-2863	38	3	al	al	PROPN
cana-2863	38	4	.	.	PROPN
cana-2863	38	5	(	(	PUNCT
cana-2863	38	6	2020	2020	NUM
cana-2863	38	7	)	)	PUNCT
cana-2863	38	8	suggested	suggest	VERB
cana-2863	38	9	retrial	retrial	ADJ
cana-2863	38	10	queueing	queue	VERB
cana-2863	38	11	system	system	NOUN
cana-2863	38	12	with	with	ADP
cana-2863	38	13	non	non	ADJ
cana-2863	38	14	-	-	ADJ
cana-2863	38	15	reliable	reliable	ADJ
cana-2863	38	16	server	server	NOUN
cana-2863	38	17	,	,	PUNCT
cana-2863	38	18	collision	collision	NOUN
cana-2863	38	19	and	and	CCONJ
cana-2863	38	20	impatient	impatient	ADJ
cana-2863	38	21	customers	customer	NOUN
cana-2863	38	22	.	.	PUNCT
cana-2863	39	1	tian	tian	ADJ
cana-2863	39	2	et	et	PROPN
cana-2863	39	3	al	al	PROPN
cana-2863	39	4	.	.	PROPN
cana-2863	40	1	(	(	PUNCT
cana-2863	40	2	2023	2023	NUM
cana-2863	40	3	)	)	PUNCT
cana-2863	40	4	investigated	investigate	VERB
cana-2863	40	5	m	m	PROPN
cana-2863	40	6	/	/	SYM
cana-2863	40	7	m/1	m/1	NOUN
cana-2863	40	8	retrial	retrial	NOUN
cana-2863	40	9	queueing	queueing	NOUN
cana-2863	40	10	model	model	NOUN
cana-2863	40	11	with	with	ADP
cana-2863	40	12	breakdown	breakdown	NOUN
cana-2863	40	13	,	,	PUNCT
cana-2863	40	14	repair	repair	NOUN
cana-2863	40	15	and	and	CCONJ
cana-2863	40	16	setup	setup	NOUN
cana-2863	40	17	times	time	NOUN
cana-2863	40	18	where	where	SCONJ
cana-2863	40	19	the	the	DET
cana-2863	40	20	server	server	NOUN
cana-2863	40	21	will	will	AUX
cana-2863	40	22	be	be	AUX
cana-2863	40	23	closed	close	VERB
cana-2863	40	24	down	down	ADP
cana-2863	40	25	when	when	SCONJ
cana-2863	40	26	the	the	DET
cana-2863	40	27	system	system	NOUN
cana-2863	40	28	is	be	AUX
cana-2863	40	29	empty	empty	ADJ
cana-2863	40	30	.	.	PUNCT
cana-2863	41	1	after	after	ADP
cana-2863	41	2	service	service	NOUN
cana-2863	41	3	completion	completion	NOUN
cana-2863	41	4	,	,	PUNCT
cana-2863	41	5	the	the	DET
cana-2863	41	6	unsatisfied	unsatisfied	ADJ
cana-2863	41	7	customer	customer	NOUN
cana-2863	41	8	joins	join	VERB
cana-2863	41	9	the	the	DET
cana-2863	41	10	retrial	retrial	ADJ
cana-2863	41	11	group	group	NOUN
cana-2863	41	12	as	as	ADP
cana-2863	41	13	a	a	DET
cana-2863	41	14	“	"	PUNCT
cana-2863	41	15	feedback	feedback	NOUN
cana-2863	41	16	”	"	PUNCT
cana-2863	41	17	customer	customer	NOUN
cana-2863	41	18	.	.	PUNCT
cana-2863	42	1	the	the	DET
cana-2863	42	2	feedback	feedback	NOUN
cana-2863	42	3	phenomena	phenomenon	NOUN
cana-2863	42	4	occurs	occur	VERB
cana-2863	42	5	in	in	ADP
cana-2863	42	6	many	many	ADJ
cana-2863	42	7	retrial	retrial	ADJ
cana-2863	42	8	queueing	queueing	NOUN
cana-2863	42	9	systems	system	NOUN
cana-2863	42	10	.	.	PUNCT
cana-2863	43	1	shweta	shweta	PROPN
cana-2863	43	2	upadhyaya	upadhyaya	PROPN
cana-2863	43	3	(	(	PUNCT
cana-2863	43	4	2014	2014	NUM
cana-2863	43	5	)	)	PUNCT
cana-2863	43	6	discussed	discuss	VERB
cana-2863	43	7	the	the	DET
cana-2863	43	8	retrial	retrial	ADJ
cana-2863	43	9	queue	queue	NOUN
cana-2863	43	10	by	by	ADP
cana-2863	43	11	considering	consider	VERB
cana-2863	43	12	both	both	CCONJ
cana-2863	43	13	the	the	DET
cana-2863	43	14	batch	batch	NOUN
cana-2863	43	15	arrival	arrival	NOUN
cana-2863	43	16	process	process	NOUN
cana-2863	43	17	and	and	CCONJ
cana-2863	43	18	bernoulli	bernoulli	NOUN
cana-2863	43	19	feedback	feedback	NOUN
cana-2863	43	20	.	.	PUNCT
cana-2863	44	1	pankaj	pankaj	PROPN
cana-2863	44	2	sharma	sharma	PROPN
cana-2863	44	3	(	(	PUNCT
cana-2863	44	4	2018	2018	NUM
cana-2863	44	5	)	)	PUNCT
cana-2863	44	6	studied	study	VERB
cana-2863	44	7	retrial	retrial	ADJ
cana-2863	44	8	queueing	queue	VERB
cana-2863	44	9	system	system	NOUN
cana-2863	44	10	with	with	ADP
cana-2863	44	11	feedback	feedback	NOUN
cana-2863	44	12	and	and	CCONJ
cana-2863	44	13	modified	modify	VERB
cana-2863	44	14	vacation	vacation	NOUN
cana-2863	44	15	using	use	VERB
cana-2863	44	16	generating	generate	VERB
cana-2863	44	17	function	function	NOUN
cana-2863	44	18	approach	approach	NOUN
cana-2863	44	19	.	.	PUNCT
cana-2863	45	1	nila	nila	PROPN
cana-2863	45	2	and	and	CCONJ
cana-2863	45	3	sumitha	sumitha	PROPN
cana-2863	45	4	(	(	PUNCT
cana-2863	45	5	2021	2021	NUM
cana-2863	45	6	)	)	PUNCT
cana-2863	45	7	analyzed	analyze	VERB
cana-2863	45	8	mx	mx	NOUN
cana-2863	45	9	/	/	SYM
cana-2863	45	10	g/1	g/1	NOUN
cana-2863	45	11	retrial	retrial	NOUN
cana-2863	45	12	queueing	queue	VERB
cana-2863	45	13	system	system	NOUN
cana-2863	45	14	with	with	ADP
cana-2863	45	15	priority	priority	NOUN
cana-2863	45	16	,	,	PUNCT
cana-2863	45	17	collision	collision	NOUN
cana-2863	45	18	and	and	CCONJ
cana-2863	45	19	feedback	feedback	NOUN
cana-2863	45	20	customers	customer	NOUN
cana-2863	45	21	.	.	PUNCT
cana-2863	46	1	“	"	PUNCT
cana-2863	46	2	vacation	vacation	NOUN
cana-2863	46	3	”	"	PUNCT
cana-2863	46	4	generally	generally	ADV
cana-2863	46	5	means	mean	VERB
cana-2863	46	6	the	the	DET
cana-2863	46	7	time	time	NOUN
cana-2863	46	8	where	where	SCONJ
cana-2863	46	9	the	the	DET
cana-2863	46	10	server	server	NOUN
cana-2863	46	11	may	may	AUX
cana-2863	46	12	not	not	PART
cana-2863	46	13	be	be	AUX
cana-2863	46	14	available	available	ADJ
cana-2863	46	15	due	due	ADP
cana-2863	46	16	to	to	ADP
cana-2863	46	17	maintenance	maintenance	NOUN
cana-2863	46	18	.	.	PUNCT
cana-2863	47	1	wang	wang	PROPN
cana-2863	47	2	(	(	PUNCT
cana-2863	47	3	2012	2012	NUM
cana-2863	47	4	)	)	PUNCT
cana-2863	47	5	discussed	discuss	VERB
cana-2863	47	6	retrial	retrial	ADJ
cana-2863	47	7	queue	queue	NOUN
cana-2863	47	8	with	with	ADP
cana-2863	47	9	bernoulli	bernoulli	PROPN
cana-2863	47	10	vacation	vacation	NOUN
cana-2863	47	11	.	.	PUNCT
cana-2863	48	1	radha	radha	PROPN
cana-2863	48	2	et	et	PROPN
cana-2863	48	3	al	al	PROPN
cana-2863	48	4	.	.	PROPN
cana-2863	49	1	(	(	PUNCT
cana-2863	49	2	2017	2017	NUM
cana-2863	49	3	)	)	PUNCT
cana-2863	49	4	studied	study	VERB
cana-2863	49	5	unreliable	unreliable	ADJ
cana-2863	49	6	group	group	NOUN
cana-2863	49	7	arrival	arrival	NOUN
cana-2863	49	8	retrial	retrial	ADJ
cana-2863	49	9	queue	queue	NOUN
cana-2863	49	10	with	with	ADP
cana-2863	49	11	bernoulli	bernoulli	PROPN
cana-2863	49	12	vacation	vacation	NOUN
cana-2863	49	13	.	.	PUNCT
cana-2863	50	1	single	single	ADJ
cana-2863	50	2	server	server	NOUN
cana-2863	50	3	constant	constant	ADJ
cana-2863	50	4	retrial	retrial	ADJ
cana-2863	50	5	queue	queue	NOUN
cana-2863	50	6	with	with	ADP
cana-2863	50	7	blocked	block	VERB
cana-2863	50	8	customers	customer	NOUN
cana-2863	50	9	and	and	CCONJ
cana-2863	50	10	bernoulli	bernoulli	PROPN
cana-2863	50	11	vacation	vacation	NOUN
cana-2863	50	12	was	be	AUX
cana-2863	50	13	analysed	analyse	VERB
cana-2863	50	14	by	by	ADP
cana-2863	50	15	ke	ke	PROPN
cana-2863	50	16	and	and	CCONJ
cana-2863	50	17	wang	wang	PROPN
cana-2863	50	18	(	(	PUNCT
cana-2863	50	19	2021	2021	NUM
cana-2863	50	20	)	)	PUNCT
cana-2863	50	21	.	.	PUNCT
cana-2863	51	1	mathavavisakan	mathavavisakan	PROPN
cana-2863	51	2	and	and	CCONJ
cana-2863	51	3	indhira	indhira	PROPN
cana-2863	51	4	(	(	PUNCT
cana-2863	51	5	2023	2023	NUM
cana-2863	51	6	)	)	PUNCT
cana-2863	51	7	provided	provide	VERB
cana-2863	51	8	an	an	DET
cana-2863	51	9	in	in	ADP
cana-2863	51	10	-	-	PUNCT
cana-2863	51	11	depth	depth	NOUN
cana-2863	51	12	analysis	analysis	NOUN
cana-2863	51	13	,	,	PUNCT
cana-2863	51	14	outlining	outline	VERB
cana-2863	51	15	key	key	ADJ
cana-2863	51	16	principles	principle	NOUN
cana-2863	51	17	and	and	CCONJ
cana-2863	51	18	relevant	relevant	ADJ
cana-2863	51	19	literature	literature	NOUN
cana-2863	51	20	of	of	ADP
cana-2863	51	21	retrial	retrial	NOUN
cana-2863	51	22	queueing	queue	VERB
cana-2863	51	23	system	system	NOUN
cana-2863	51	24	with	with	ADP
cana-2863	51	25	bernoulli	bernoulli	PROPN
cana-2863	51	26	vacations	vacation	NOUN
cana-2863	51	27	.	.	PUNCT
cana-2863	52	1	“	"	PUNCT
cana-2863	52	2	search	search	NOUN
cana-2863	52	3	of	of	ADP
cana-2863	52	4	customers	customer	NOUN
cana-2863	52	5	”	"	PUNCT
cana-2863	52	6	from	from	ADP
cana-2863	52	7	the	the	DET
cana-2863	52	8	retrial	retrial	ADJ
cana-2863	52	9	group	group	NOUN
cana-2863	52	10	reduces	reduce	VERB
cana-2863	52	11	the	the	DET
cana-2863	52	12	idle	idle	ADJ
cana-2863	52	13	time	time	NOUN
cana-2863	52	14	of	of	ADP
cana-2863	52	15	the	the	DET
cana-2863	52	16	server	server	NOUN
cana-2863	52	17	.	.	PUNCT
cana-2863	53	1	krishnamoorthy	krishnamoorthy	PROPN
cana-2863	53	2	et	et	PROPN
cana-2863	53	3	al	al	PROPN
cana-2863	53	4	.	.	PROPN
cana-2863	54	1	(	(	PUNCT
cana-2863	54	2	2005	2005	NUM
cana-2863	54	3	)	)	PUNCT
cana-2863	54	4	investigated	investigate	VERB
cana-2863	54	5	the	the	DET
cana-2863	54	6	behaviour	behaviour	NOUN
cana-2863	54	7	of	of	ADP
cana-2863	54	8	the	the	DET
cana-2863	54	9	m	m	PROPN
cana-2863	54	10	/	/	SYM
cana-2863	54	11	g/1	g/1	NOUN
cana-2863	54	12	retrial	retrial	NOUN
cana-2863	54	13	queueing	queue	VERB
cana-2863	54	14	system	system	NOUN
cana-2863	54	15	with	with	ADP
cana-2863	54	16	nonpersistent	nonpersistent	ADJ
cana-2863	54	17	customers	customer	NOUN
cana-2863	54	18	and	and	CCONJ
cana-2863	54	19	orbital	orbital	ADJ
cana-2863	54	20	search	search	NOUN
cana-2863	54	21	.	.	PUNCT
cana-2863	55	1	sumitha	sumitha	PROPN
cana-2863	55	2	and	and	CCONJ
cana-2863	55	3	udaya	udaya	PROPN
cana-2863	55	4	chandrika	chandrika	PROPN
cana-2863	55	5	(	(	PUNCT
cana-2863	55	6	2012	2012	NUM
cana-2863	55	7	)	)	PUNCT
cana-2863	55	8	modelled	model	VERB
cana-2863	55	9	a	a	DET
cana-2863	55	10	repairable	repairable	ADJ
cana-2863	55	11	m	m	NOUN
cana-2863	55	12	/	/	SYM
cana-2863	55	13	g/1	g/1	NOUN
cana-2863	55	14	retrial	retrial	ADJ
cana-2863	55	15	queue	queue	NOUN
cana-2863	55	16	with	with	ADP
cana-2863	55	17	vacation	vacation	NOUN
cana-2863	55	18	and	and	CCONJ
cana-2863	55	19	orbital	orbital	ADJ
cana-2863	55	20	search	search	NOUN
cana-2863	55	21	and	and	CCONJ
cana-2863	55	22	derived	derive	VERB
cana-2863	55	23	the	the	DET
cana-2863	55	24	reliability	reliability	NOUN
cana-2863	55	25	indices	index	NOUN
cana-2863	55	26	to	to	PART
cana-2863	55	27	predict	predict	VERB
cana-2863	55	28	the	the	DET
cana-2863	55	29	system	system	NOUN
cana-2863	55	30	behaviour	behaviour	NOUN
cana-2863	55	31	.	.	PUNCT
cana-2863	56	1	murugan	murugan	PROPN
cana-2863	56	2	et	et	PROPN
cana-2863	56	3	al	al	PROPN
cana-2863	56	4	.	.	PROPN
cana-2863	57	1	(	(	PUNCT
cana-2863	57	2	2019	2019	NUM
cana-2863	57	3	)	)	PUNCT
cana-2863	57	4	examined	examine	VERB
cana-2863	57	5	the	the	DET
cana-2863	57	6	bulk	bulk	ADJ
cana-2863	57	7	arrival	arrival	NOUN
cana-2863	57	8	retrial	retrial	NOUN
cana-2863	57	9	queueing	queue	VERB
cana-2863	57	10	model	model	NOUN
cana-2863	57	11	with	with	ADP
cana-2863	57	12	orbital	orbital	ADJ
cana-2863	57	13	search	search	NOUN
cana-2863	57	14	and	and	CCONJ
cana-2863	57	15	exponentially	exponentially	ADV
cana-2863	57	16	distributed	distribute	VERB
cana-2863	57	17	multiple	multiple	ADJ
cana-2863	57	18	working	work	VERB
cana-2863	57	19	vacations	vacation	NOUN
cana-2863	57	20	.	.	PUNCT
cana-2863	58	1	2	2	X
cana-2863	58	2	.	.	X
cana-2863	58	3	model	model	NOUN
cana-2863	58	4	description	description	NOUN
cana-2863	58	5	•	•	ADP
cana-2863	58	6	the	the	DET
cana-2863	58	7	unreliable	unreliable	ADJ
cana-2863	58	8	batch	batch	NOUN
cana-2863	58	9	arrival	arrival	NOUN
cana-2863	58	10	retrial	retrial	ADJ
cana-2863	58	11	queue	queue	NOUN
cana-2863	58	12	with	with	ADP
cana-2863	58	13	three	three	NUM
cana-2863	58	14	phases	phase	NOUN
cana-2863	58	15	of	of	ADP
cana-2863	58	16	service	service	NOUN
cana-2863	58	17	,	,	PUNCT
cana-2863	58	18	balking	balk	VERB
cana-2863	58	19	,	,	PUNCT
cana-2863	58	20	reneging	renege	VERB
cana-2863	58	21	,	,	PUNCT
cana-2863	58	22	feedback	feedback	NOUN
cana-2863	58	23	,	,	PUNCT
cana-2863	58	24	bernoulli	bernoulli	NOUN
cana-2863	58	25	vacation	vacation	NOUN
cana-2863	58	26	and	and	CCONJ
cana-2863	58	27	search	search	NOUN
cana-2863	58	28	of	of	ADP
cana-2863	58	29	customers	customer	NOUN
cana-2863	58	30	are	be	AUX
cana-2863	58	31	analysed	analyse	VERB
cana-2863	58	32	.	.	PUNCT
cana-2863	59	1	•	•	NUM
cana-2863	59	2	the	the	DET
cana-2863	59	3	customers	customer	NOUN
cana-2863	59	4	arrive	arrive	VERB
cana-2863	59	5	at	at	ADP
cana-2863	59	6	the	the	DET
cana-2863	59	7	system	system	NOUN
cana-2863	59	8	according	accord	VERB
cana-2863	59	9	to	to	ADP
cana-2863	59	10	poisson	poisson	NOUN
cana-2863	59	11	process	process	NOUN
cana-2863	59	12	with	with	ADP
cana-2863	59	13	rate	rate	NOUN
cana-2863	59	14	.	.	PROPN
cana-2863	60	1	let	let	VERB
cana-2863	60	2	j	j	PROPN
cana-2863	60	3	be	be	AUX
cana-2863	60	4	the	the	DET
cana-2863	60	5	size	size	NOUN
cana-2863	60	6	of	of	ADP
cana-2863	60	7	the	the	DET
cana-2863	60	8	arriving	arriving	NOUN
cana-2863	60	9	batch	batch	NOUN
cana-2863	60	10	which	which	PRON
cana-2863	60	11	is	be	AUX
cana-2863	60	12	a	a	DET
cana-2863	60	13	random	random	ADJ
cana-2863	60	14	variable	variable	NOUN
cana-2863	60	15	with	with	ADP
cana-2863	60	16	k}kj{p	k}kj{p	PROPN
cana-2863	60	17	==	==	PUNCT
cana-2863	60	18	,	,	PUNCT
cana-2863	60	19	k=1,2,3	k=1,2,3	X
cana-2863	60	20	…	…	PUNCT
cana-2863	60	21	and	and	CCONJ
cana-2863	60	22	)	)	PUNCT
cana-2863	60	23	(	(	PUNCT
cana-2863	60	24	k	k	NOUN
cana-2863	60	25			NUM
cana-2863	60	26	be	be	AUX
cana-2863	60	27	the	the	DET
cana-2863	60	28	probability	probability	NOUN
cana-2863	60	29	generating	generate	VERB
cana-2863	60	30	function	function	NOUN
cana-2863	60	31	with	with	ADP
cana-2863	60	32	first	first	ADJ
cana-2863	60	33	two	two	NUM
cana-2863	60	34	moments	moment	NOUN
cana-2863	60	35	1c	1c	NOUN
cana-2863	60	36	and	and	CCONJ
cana-2863	60	37	2c	2c	NUM
cana-2863	60	38	.	.	PUNCT
cana-2863	61	1	•	•	INTJ
cana-2863	61	2	if	if	SCONJ
cana-2863	61	3	the	the	DET
cana-2863	61	4	server	server	NOUN
cana-2863	61	5	is	be	AUX
cana-2863	61	6	idle	idle	ADJ
cana-2863	61	7	,	,	PUNCT
cana-2863	61	8	then	then	ADV
cana-2863	61	9	one	one	NUM
cana-2863	61	10	of	of	ADP
cana-2863	61	11	the	the	DET
cana-2863	61	12	customers	customer	NOUN
cana-2863	61	13	in	in	ADP
cana-2863	61	14	the	the	DET
cana-2863	61	15	batch	batch	NOUN
cana-2863	61	16	gets	get	VERB
cana-2863	61	17	the	the	DET
cana-2863	61	18	service	service	NOUN
cana-2863	61	19	and	and	CCONJ
cana-2863	61	20	the	the	DET
cana-2863	61	21	rest	rest	NOUN
cana-2863	61	22	of	of	ADP
cana-2863	61	23	the	the	DET
cana-2863	61	24	incoming	incoming	ADJ
cana-2863	61	25	customers	customer	NOUN
cana-2863	61	26	from	from	ADP
cana-2863	61	27	the	the	DET
cana-2863	61	28	batch	batch	NOUN
cana-2863	61	29	enters	enter	VERB
cana-2863	61	30	the	the	DET
cana-2863	61	31	retrial	retrial	ADJ
cana-2863	61	32	group	group	NOUN
cana-2863	61	33	.	.	PUNCT
cana-2863	62	1	•	•	INTJ
cana-2863	62	2	otherwise	otherwise	ADV
cana-2863	62	3	if	if	SCONJ
cana-2863	62	4	the	the	DET
cana-2863	62	5	server	server	NOUN
cana-2863	62	6	is	be	AUX
cana-2863	62	7	busy	busy	ADJ
cana-2863	62	8	,	,	PUNCT
cana-2863	62	9	then	then	ADV
cana-2863	62	10	the	the	DET
cana-2863	62	11	arriving	arriving	NOUN
cana-2863	62	12	batch	batch	NOUN
cana-2863	62	13	may	may	AUX
cana-2863	62	14	join	join	VERB
cana-2863	62	15	the	the	DET
cana-2863	62	16	retrial	retrial	ADJ
cana-2863	62	17	group	group	NOUN
cana-2863	62	18	with	with	ADP
cana-2863	62	19	probability	probability	NOUN
cana-2863	62	20	q	q	NOUN
cana-2863	62	21	or	or	CCONJ
cana-2863	62	22	leaves	leave	VERB
cana-2863	62	23	the	the	DET
cana-2863	62	24	system	system	NOUN
cana-2863	62	25	with	with	ADP
cana-2863	62	26	complementary	complementary	ADJ
cana-2863	62	27	probability	probability	NOUN
cana-2863	62	28	.	.	PUNCT
cana-2863	63	1	during	during	ADP
cana-2863	63	2	retrials	retrial	NOUN
cana-2863	63	3	if	if	SCONJ
cana-2863	63	4	the	the	DET
cana-2863	63	5	primary	primary	ADJ
cana-2863	63	6	customer	customer	NOUN
cana-2863	63	7	arrives	arrive	VERB
cana-2863	63	8	in	in	ADP
cana-2863	63	9	the	the	DET
cana-2863	63	10	system	system	NOUN
cana-2863	63	11	,	,	PUNCT
cana-2863	63	12	the	the	DET
cana-2863	63	13	retrial	retrial	ADJ
cana-2863	63	14	customer	customer	NOUN
cana-2863	63	15	cancels	cancel	VERB
cana-2863	63	16	the	the	DET
cana-2863	63	17	attempt	attempt	NOUN
cana-2863	63	18	for	for	ADP
cana-2863	63	19	service	service	NOUN
cana-2863	63	20	and	and	CCONJ
cana-2863	63	21	return	return	NOUN
cana-2863	63	22	to	to	ADP
cana-2863	63	23	communications	communication	NOUN
cana-2863	63	24	on	on	ADP
cana-2863	63	25	applied	apply	VERB
cana-2863	63	26	nonlinear	nonlinear	ADJ
cana-2863	63	27	analysis	analysis	NOUN
cana-2863	63	28	issn	issn	NOUN
cana-2863	63	29	:	:	PUNCT
cana-2863	63	30	1074	1074	NUM
cana-2863	63	31	-	-	PUNCT
cana-2863	63	32	133x	133x	NUM
cana-2863	63	33	vol	vol	NOUN
cana-2863	63	34	32	32	NUM
cana-2863	63	35	no	no	NOUN
cana-2863	63	36	.	.	PUNCT
cana-2863	64	1	4s	4s	NUM
cana-2863	64	2	(	(	PUNCT
cana-2863	64	3	2025	2025	NUM
cana-2863	64	4	)	)	PUNCT
cana-2863	64	5	443	443	NUM
cana-2863	64	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	64	7	retrial	retrial	ADJ
cana-2863	64	8	group	group	NOUN
cana-2863	64	9	with	with	ADP
cana-2863	64	10	probability	probability	NOUN
cana-2863	64	11	p	p	NOUN
cana-2863	64	12	or	or	CCONJ
cana-2863	64	13	renege	renege	VERB
cana-2863	64	14	at	at	ADP
cana-2863	64	15	the	the	DET
cana-2863	64	16	system	system	NOUN
cana-2863	64	17	with	with	ADP
cana-2863	64	18	complementary	complementary	ADJ
cana-2863	64	19	probability	probability	NOUN
cana-2863	64	20	.	.	PUNCT
cana-2863	65	1	the	the	DET
cana-2863	65	2	retrial	retrial	ADJ
cana-2863	65	3	time	time	NOUN
cana-2863	65	4	follows	follow	VERB
cana-2863	65	5	general	general	ADJ
cana-2863	65	6	distribution	distribution	NOUN
cana-2863	65	7	with	with	ADP
cana-2863	65	8	distribution	distribution	NOUN
cana-2863	65	9	function	function	NOUN
cana-2863	65	10	)	)	PUNCT
cana-2863	65	11	,	,	PUNCT
cana-2863	65	12	(	(	PUNCT
cana-2863	65	13	k	k	PROPN
cana-2863	65	14			PROPN
cana-2863	65	15	density	density	NOUN
cana-2863	65	16	function	function	NOUN
cana-2863	65	17	)	)	PUNCT
cana-2863	65	18	(	(	PUNCT
cana-2863	65	19	k	k	X
cana-2863	65	20			NOUN
cana-2863	65	21	and	and	CCONJ
cana-2863	65	22	laplace	laplace	PROPN
cana-2863	65	23	stieltjes	stieltjes	PROPN
cana-2863	65	24	transform	transform	VERB
cana-2863	65	25	)	)	PUNCT
cana-2863	65	26	s(k	s(k	ADP
cana-2863	65	27	*	*	PUNCT
cana-2863	65	28	and	and	CCONJ
cana-2863	65	29	the	the	DET
cana-2863	65	30	hazard	hazard	NOUN
cana-2863	65	31	rate	rate	NOUN
cana-2863	65	32	function	function	NOUN
cana-2863	65	33	)	)	PUNCT
cana-2863	65	34	.(k1/)(k	.(k1/)(k	PROPN
cana-2863	65	35	)	)	PUNCT
cana-2863	65	36	(	(	PUNCT
cana-2863	65	37	−=	−=	PROPN
cana-2863	65	38	•	•	ADP
cana-2863	65	39	the	the	DET
cana-2863	65	40	server	server	NOUN
cana-2863	65	41	provides	provide	VERB
cana-2863	65	42	three	three	NUM
cana-2863	65	43	phases	phase	NOUN
cana-2863	65	44	of	of	ADP
cana-2863	65	45	service	service	NOUN
cana-2863	65	46	.	.	PUNCT
cana-2863	66	1	the	the	DET
cana-2863	66	2	first	first	ADJ
cana-2863	66	3	essential	essential	ADJ
cana-2863	66	4	service	service	NOUN
cana-2863	66	5	is	be	AUX
cana-2863	66	6	provided	provide	VERB
cana-2863	66	7	to	to	ADP
cana-2863	66	8	all	all	DET
cana-2863	66	9	the	the	DET
cana-2863	66	10	arriving	arrive	VERB
cana-2863	66	11	customers	customer	NOUN
cana-2863	66	12	whereas	whereas	SCONJ
cana-2863	66	13	the	the	DET
cana-2863	66	14	second	second	ADJ
cana-2863	66	15	and	and	CCONJ
cana-2863	66	16	third	third	ADJ
cana-2863	66	17	phases	phase	NOUN
cana-2863	66	18	of	of	ADP
cana-2863	66	19	service	service	NOUN
cana-2863	66	20	are	be	AUX
cana-2863	66	21	optional	optional	ADJ
cana-2863	66	22	.	.	PUNCT
cana-2863	67	1	•	•	NOUN
cana-2863	67	2	after	after	ADP
cana-2863	67	3	completion	completion	NOUN
cana-2863	67	4	of	of	ADP
cana-2863	67	5	first	first	ADJ
cana-2863	67	6	essential	essential	ADJ
cana-2863	67	7	service	service	NOUN
cana-2863	67	8	,	,	PUNCT
cana-2863	67	9	the	the	DET
cana-2863	67	10	customer	customer	NOUN
cana-2863	67	11	leaves	leave	VERB
cana-2863	67	12	the	the	DET
cana-2863	67	13	system	system	NOUN
cana-2863	67	14	with	with	ADP
cana-2863	67	15	probability	probability	NOUN
cana-2863	67	16	0r	0r	NOUN
cana-2863	67	17	or	or	CCONJ
cana-2863	67	18	opts	opt	VERB
cana-2863	67	19	for	for	ADP
cana-2863	67	20	second	second	ADJ
cana-2863	67	21	optional	optional	ADJ
cana-2863	67	22	service	service	NOUN
cana-2863	67	23	with	with	ADP
cana-2863	67	24	probability	probability	NOUN
cana-2863	67	25	1	1	NOUN
cana-2863	67	26	or	or	CCONJ
cana-2863	67	27	moves	move	NOUN
cana-2863	67	28	to	to	PART
cana-2863	67	29	retrial	retrial	ADJ
cana-2863	67	30	group	group	NOUN
cana-2863	67	31	with	with	ADP
cana-2863	67	32	probability	probability	NOUN
cana-2863	67	33	)	)	PUNCT
cana-2863	67	34	r1	r1	PROPN
cana-2863	67	35	(	(	PUNCT
cana-2863	67	36	101	101	NUM
cana-2863	67	37	−−=	−−=	PROPN
cana-2863	67	38	for	for	ADP
cana-2863	67	39	reservice	reservice	NOUN
cana-2863	67	40	.	.	PUNCT
cana-2863	68	1	•	•	NUM
cana-2863	68	2	upon	upon	SCONJ
cana-2863	68	3	completing	complete	VERB
cana-2863	68	4	the	the	DET
cana-2863	68	5	second	second	ADJ
cana-2863	68	6	optional	optional	ADJ
cana-2863	68	7	service	service	NOUN
cana-2863	68	8	,	,	PUNCT
cana-2863	68	9	the	the	DET
cana-2863	68	10	customer	customer	NOUN
cana-2863	68	11	leaves	leave	VERB
cana-2863	68	12	the	the	DET
cana-2863	68	13	system	system	NOUN
cana-2863	68	14	with	with	ADP
cana-2863	68	15	probability	probability	NOUN
cana-2863	68	16	1r	1r	NOUN
cana-2863	68	17	or	or	CCONJ
cana-2863	68	18	proceeds	proceed	NOUN
cana-2863	68	19	to	to	ADP
cana-2863	68	20	third	third	ADJ
cana-2863	68	21	optional	optional	ADJ
cana-2863	68	22	service	service	NOUN
cana-2863	68	23	with	with	ADP
cana-2863	68	24	probability	probability	NOUN
cana-2863	68	25	2	2	NUM
cana-2863	68	26	or	or	CCONJ
cana-2863	68	27	moves	move	NOUN
cana-2863	68	28	to	to	PART
cana-2863	68	29	retrial	retrial	ADJ
cana-2863	68	30	group	group	NOUN
cana-2863	68	31	with	with	ADP
cana-2863	68	32	probability	probability	NOUN
cana-2863	68	33	)	)	PUNCT
cana-2863	68	34	r1	r1	PROPN
cana-2863	68	35	(	(	PUNCT
cana-2863	68	36	212	212	NUM
cana-2863	68	37	−−=	−−=	PROPN
cana-2863	68	38	for	for	ADP
cana-2863	68	39	reservice	reservice	NOUN
cana-2863	68	40	.	.	PUNCT
cana-2863	69	1	•	•	NUM
cana-2863	69	2	after	after	ADP
cana-2863	69	3	completing	complete	VERB
cana-2863	69	4	the	the	DET
cana-2863	69	5	third	third	ADJ
cana-2863	69	6	optional	optional	ADJ
cana-2863	69	7	service	service	NOUN
cana-2863	69	8	the	the	DET
cana-2863	69	9	customer	customer	NOUN
cana-2863	69	10	joins	join	VERB
cana-2863	69	11	the	the	DET
cana-2863	69	12	retrial	retrial	ADJ
cana-2863	69	13	group	group	NOUN
cana-2863	69	14	with	with	ADP
cana-2863	69	15	probability	probability	NOUN
cana-2863	69	16	3	3	NUM
cana-2863	69	17	or	or	CCONJ
cana-2863	69	18	leaves	leave	VERB
cana-2863	69	19	the	the	DET
cana-2863	69	20	system	system	NOUN
cana-2863	69	21	with	with	ADP
cana-2863	69	22	complementary	complementary	ADJ
cana-2863	69	23	probability	probability	NOUN
cana-2863	69	24	.	.	PUNCT
cana-2863	70	1	•	•	NUM
cana-2863	70	2	service	service	NOUN
cana-2863	70	3	times	time	NOUN
cana-2863	70	4	in	in	ADP
cana-2863	70	5	all	all	DET
cana-2863	70	6	three	three	NUM
cana-2863	70	7	phases	phase	NOUN
cana-2863	70	8	are	be	AUX
cana-2863	70	9	arbitrarily	arbitrarily	ADV
cana-2863	70	10	distributed	distribute	VERB
cana-2863	70	11	with	with	ADP
cana-2863	70	12	distribution	distribution	NOUN
cana-2863	70	13	function	function	NOUN
cana-2863	70	14	)	)	PUNCT
cana-2863	70	15	,	,	PUNCT
cana-2863	70	16	(	(	PUNCT
cana-2863	70	17	ji	ji	PROPN
cana-2863	70	18			PROPN
cana-2863	70	19	density	density	NOUN
cana-2863	70	20	function	function	NOUN
cana-2863	70	21	)	)	PUNCT
cana-2863	70	22	,	,	PUNCT
cana-2863	70	23	(	(	PUNCT
cana-2863	70	24	ji	ji	PROPN
cana-2863	70	25			PROPN
cana-2863	70	26	laplace	laplace	PROPN
cana-2863	70	27	stieltjes	stieltjes	PROPN
cana-2863	70	28	transform	transform	VERB
cana-2863	70	29	)	)	PUNCT
cana-2863	70	30	s(j	s(j	PROPN
cana-2863	70	31	*	*	PUNCT
cana-2863	70	32	i	i	PRON
cana-2863	70	33	with	with	ADP
cana-2863	70	34	first	first	ADJ
cana-2863	70	35	two	two	NUM
cana-2863	70	36	moments	moment	NOUN
cana-2863	70	37	2i1i	2i1i	NOUN
cana-2863	70	38	,	,	PUNCT
cana-2863	70	39			PRON
cana-2863	70	40	and	and	CCONJ
cana-2863	70	41	the	the	DET
cana-2863	70	42	hazard	hazard	NOUN
cana-2863	70	43	rate	rate	NOUN
cana-2863	70	44	function	function	NOUN
cana-2863	70	45	.3,2,1i),(j1/)(j	.3,2,1i),(j1/)(j	PUNCT
cana-2863	70	46	)	)	PUNCT
cana-2863	71	1	(	(	PUNCT
cana-2863	71	2	ii1i	ii1i	PROPN
cana-2863	71	3	=	=	PRON
cana-2863	71	4	−=	−=	X
cana-2863	71	5	•	•	NOUN
cana-2863	71	6	after	after	ADP
cana-2863	71	7	the	the	DET
cana-2863	71	8	completion	completion	NOUN
cana-2863	71	9	of	of	ADP
cana-2863	71	10	first	first	ADJ
cana-2863	71	11	essential	essential	ADJ
cana-2863	71	12	and	and	CCONJ
cana-2863	71	13	second	second	ADJ
cana-2863	71	14	optional	optional	ADJ
cana-2863	71	15	service	service	NOUN
cana-2863	71	16	,	,	PUNCT
cana-2863	71	17	the	the	DET
cana-2863	71	18	server	server	NOUN
cana-2863	71	19	searches	search	NOUN
cana-2863	71	20	for	for	ADP
cana-2863	71	21	customers	customer	NOUN
cana-2863	71	22	in	in	ADP
cana-2863	71	23	the	the	DET
cana-2863	71	24	retrial	retrial	ADJ
cana-2863	71	25	group	group	NOUN
cana-2863	71	26	with	with	ADP
cana-2863	71	27	probability	probability	NOUN
cana-2863	71	28	2,1i	2,1i	ADP
cana-2863	71	29	,	,	PUNCT
cana-2863	71	30	i	i	PRON
cana-2863	71	31	=	=	VERB
cana-2863	71	32			X
cana-2863	71	33	or	or	CCONJ
cana-2863	71	34	remain	remain	VERB
cana-2863	71	35	idle	idle	ADJ
cana-2863	71	36	with	with	ADP
cana-2863	71	37	complementary	complementary	ADJ
cana-2863	71	38	probability	probability	NOUN
cana-2863	71	39	.	.	PUNCT
cana-2863	72	1	•	•	NOUN
cana-2863	72	2	at	at	ADP
cana-2863	72	3	the	the	DET
cana-2863	72	4	completion	completion	NOUN
cana-2863	72	5	of	of	ADP
cana-2863	72	6	third	third	ADJ
cana-2863	72	7	optional	optional	ADJ
cana-2863	72	8	service	service	NOUN
cana-2863	72	9	,	,	PUNCT
cana-2863	72	10	the	the	DET
cana-2863	72	11	server	server	NOUN
cana-2863	72	12	may	may	AUX
cana-2863	72	13	take	take	VERB
cana-2863	72	14	a	a	DET
cana-2863	72	15	single	single	ADJ
cana-2863	72	16	vacation	vacation	NOUN
cana-2863	72	17	with	with	ADP
cana-2863	72	18	probability	probability	NOUN
cana-2863	72	19			NUM
cana-2863	72	20	or	or	CCONJ
cana-2863	72	21	waits	wait	NOUN
cana-2863	72	22	for	for	ADP
cana-2863	72	23	the	the	DET
cana-2863	72	24	next	next	ADJ
cana-2863	72	25	customer	customer	NOUN
cana-2863	72	26	with	with	ADP
cana-2863	72	27	complementary	complementary	ADJ
cana-2863	72	28	probability	probability	NOUN
cana-2863	72	29	.	.	PROPN
cana-2863	72	30	vacation	vacation	NOUN
cana-2863	72	31	times	time	NOUN
cana-2863	72	32	are	be	AUX
cana-2863	72	33	arbitrarily	arbitrarily	ADV
cana-2863	72	34	distributed	distribute	VERB
cana-2863	72	35	with	with	ADP
cana-2863	72	36	distribution	distribution	NOUN
cana-2863	72	37	function	function	NOUN
cana-2863	72	38	)	)	PUNCT
cana-2863	72	39	,	,	PUNCT
cana-2863	72	40	(	(	PUNCT
cana-2863	72	41	h	h	NOUN
cana-2863	72	42			NOUN
cana-2863	72	43	density	density	NOUN
cana-2863	72	44	function	function	NOUN
cana-2863	72	45	)	)	PUNCT
cana-2863	72	46	,	,	PUNCT
cana-2863	72	47	(	(	PUNCT
cana-2863	72	48	h	h	NOUN
cana-2863	72	49			PROPN
cana-2863	72	50	laplace	laplace	PROPN
cana-2863	72	51	stieltjes	stieltjes	PROPN
cana-2863	72	52	transform	transform	VERB
cana-2863	72	53	)	)	PUNCT
cana-2863	73	1	s(h	s(h	PROPN
cana-2863	73	2	*	*	PROPN
cana-2863	73	3	with	with	ADP
cana-2863	73	4	first	first	ADJ
cana-2863	73	5	two	two	NUM
cana-2863	73	6	moments	moment	NOUN
cana-2863	73	7	21,	21,	NUM
cana-2863	73	8	and	and	CCONJ
cana-2863	73	9	the	the	DET
cana-2863	73	10	hazard	hazard	NOUN
cana-2863	73	11	rate	rate	NOUN
cana-2863	73	12	function	function	NOUN
cana-2863	73	13	)	)	PUNCT
cana-2863	73	14	.(v1/)(v	.(v1/)(v	X
cana-2863	73	15	)	)	PUNCT
cana-2863	73	16	(	(	PUNCT
cana-2863	73	17	−=	−=	NOUN
cana-2863	73	18	•	•	NOUN
cana-2863	73	19	in	in	ADP
cana-2863	73	20	all	all	DET
cana-2863	73	21	the	the	DET
cana-2863	73	22	three	three	NUM
cana-2863	73	23	phases	phase	NOUN
cana-2863	73	24	of	of	ADP
cana-2863	73	25	service	service	NOUN
cana-2863	73	26	the	the	DET
cana-2863	73	27	server	server	NOUN
cana-2863	73	28	is	be	AUX
cana-2863	73	29	subjected	subject	VERB
cana-2863	73	30	to	to	AUX
cana-2863	73	31	breakdown	breakdown	VERB
cana-2863	73	32	and	and	CCONJ
cana-2863	73	33	the	the	DET
cana-2863	73	34	repair	repair	NOUN
cana-2863	73	35	process	process	NOUN
cana-2863	73	36	starts	start	VERB
cana-2863	73	37	instantly	instantly	ADV
cana-2863	73	38	.	.	PUNCT
cana-2863	74	1	the	the	DET
cana-2863	74	2	life	life	NOUN
cana-2863	74	3	time	time	NOUN
cana-2863	74	4	of	of	ADP
cana-2863	74	5	the	the	DET
cana-2863	74	6	server	server	NOUN
cana-2863	74	7	in	in	ADP
cana-2863	74	8	all	all	DET
cana-2863	74	9	the	the	DET
cana-2863	74	10	phases	phase	NOUN
cana-2863	74	11	of	of	ADP
cana-2863	74	12	service	service	NOUN
cana-2863	74	13	is	be	AUX
cana-2863	74	14	exponential	exponential	ADJ
cana-2863	74	15	with	with	ADP
cana-2863	74	16	rate	rate	NOUN
cana-2863	74	17	.3,2,1i	.3,2,1i	PROPN
cana-2863	74	18	,	,	PUNCT
cana-2863	74	19	i	i	PRON
cana-2863	74	20	=	=	VERB
cana-2863	74	21			VERB
cana-2863	74	22	the	the	DET
cana-2863	74	23	interrupted	interrupted	ADJ
cana-2863	74	24	customer	customer	NOUN
cana-2863	74	25	waits	wait	VERB
cana-2863	74	26	in	in	ADP
cana-2863	74	27	the	the	DET
cana-2863	74	28	system	system	NOUN
cana-2863	74	29	to	to	PART
cana-2863	74	30	get	get	VERB
cana-2863	74	31	service	service	NOUN
cana-2863	74	32	after	after	ADP
cana-2863	74	33	repair	repair	NOUN
cana-2863	74	34	completion	completion	NOUN
cana-2863	74	35	.	.	PUNCT
cana-2863	75	1	repair	repair	NOUN
cana-2863	75	2	times	time	NOUN
cana-2863	75	3	in	in	ADP
cana-2863	75	4	all	all	DET
cana-2863	75	5	three	three	NUM
cana-2863	75	6	phases	phase	NOUN
cana-2863	75	7	were	be	AUX
cana-2863	75	8	assumed	assume	VERB
cana-2863	75	9	to	to	PART
cana-2863	75	10	be	be	AUX
cana-2863	75	11	arbitrarily	arbitrarily	ADV
cana-2863	75	12	distributed	distribute	VERB
cana-2863	75	13	with	with	ADP
cana-2863	75	14	distribution	distribution	NOUN
cana-2863	75	15	function	function	NOUN
cana-2863	75	16	)	)	PUNCT
cana-2863	75	17	,	,	PUNCT
cana-2863	75	18	(	(	PUNCT
cana-2863	75	19	fi	fi	NOUN
cana-2863	75	20			NOUN
cana-2863	75	21	density	density	NOUN
cana-2863	75	22	function	function	NOUN
cana-2863	75	23	)	)	PUNCT
cana-2863	75	24	,	,	PUNCT
cana-2863	75	25	(	(	PUNCT
cana-2863	75	26	fi	fi	NOUN
cana-2863	75	27			NOUN
cana-2863	75	28	laplace	laplace	NOUN
cana-2863	75	29	stieltjes	stieltjes	PROPN
cana-2863	75	30	transform	transform	VERB
cana-2863	75	31	)	)	PUNCT
cana-2863	75	32	s(f	s(f	X
cana-2863	75	33	*	*	PUNCT
cana-2863	76	1	i	i	PRON
cana-2863	76	2	with	with	ADP
cana-2863	76	3	first	first	ADJ
cana-2863	76	4	two	two	NUM
cana-2863	76	5	moments	moment	NOUN
cana-2863	76	6	2i1i	2i1i	NOUN
cana-2863	76	7	,	,	PUNCT
cana-2863	76	8			PROPN
cana-2863	76	9	and	and	CCONJ
cana-2863	76	10	the	the	DET
cana-2863	76	11	hazard	hazard	NOUN
cana-2863	76	12	rate	rate	NOUN
cana-2863	76	13	function	function	NOUN
cana-2863	76	14	.3,2,1i),(f1/)(f	.3,2,1i),(f1/)(f	PUNCT
cana-2863	76	15	)	)	PUNCT
cana-2863	77	1	(	(	PUNCT
cana-2863	77	2	iii	iii	X
cana-2863	77	3	=	=	X
cana-2863	77	4	−=	−=	NOUN
cana-2863	77	5	2.1	2.1	NUM
cana-2863	77	6	system	system	NOUN
cana-2863	77	7	analysis	analysis	NOUN
cana-2863	77	8	and	and	CCONJ
cana-2863	77	9	governing	govern	VERB
cana-2863	77	10	equations	equation	NOUN
cana-2863	77	11	the	the	DET
cana-2863	77	12	behaviour	behaviour	NOUN
cana-2863	77	13	of	of	ADP
cana-2863	77	14	the	the	DET
cana-2863	77	15	retrial	retrial	NOUN
cana-2863	77	16	queueing	queue	VERB
cana-2863	77	17	system	system	NOUN
cana-2863	77	18	at	at	ADP
cana-2863	77	19	time	time	NOUN
cana-2863	77	20	t	t	PROPN
cana-2863	77	21	can	can	AUX
cana-2863	77	22	be	be	AUX
cana-2863	77	23	described	describe	VERB
cana-2863	77	24	by	by	ADP
cana-2863	77	25	the	the	DET
cana-2863	77	26	markov	markov	NOUN
cana-2863	77	27	process	process	NOUN
cana-2863	77	28	}	}	PUNCT
cana-2863	77	29	0t),t(),t(),t(),t(),t(),t(),t(),t(),t(m),t(s{}0t),t(n	0t),t(),t(),t(),t(),t(),t(),t(),t(),t(m),t(s{}0t),t(n	PROPN
cana-2863	77	30	{	{	PUNCT
cana-2863	77	31	6543210	6543210	NUM
cana-2863	77	32	=	=	NOUN
cana-2863	77	33	at	at	ADP
cana-2863	77	34	s(t)=0,1,2,3,4,5,6,7	s(t)=0,1,2,3,4,5,6,7	PROPN
cana-2863	77	35	represents	represent	VERB
cana-2863	77	36	the	the	DET
cana-2863	77	37	server	server	NOUN
cana-2863	77	38	states	state	NOUN
cana-2863	77	39	and	and	CCONJ
cana-2863	77	40	m(t	m(t	NOUN
cana-2863	77	41	)	)	PUNCT
cana-2863	77	42	represents	represent	VERB
cana-2863	77	43	the	the	DET
cana-2863	77	44	number	number	NOUN
cana-2863	77	45	of	of	ADP
cana-2863	77	46	customers	customer	NOUN
cana-2863	77	47	in	in	ADP
cana-2863	77	48	the	the	DET
cana-2863	77	49	retrial	retrial	ADJ
cana-2863	77	50	group	group	NOUN
cana-2863	77	51	at	at	ADP
cana-2863	77	52	time	time	NOUN
cana-2863	77	53	t.	t.	PROPN
cana-2863	77	54	0e	0e	PROPN
cana-2863	77	55	is	be	AUX
cana-2863	77	56	the	the	DET
cana-2863	77	57	probability	probability	NOUN
cana-2863	77	58	that	that	SCONJ
cana-2863	77	59	the	the	DET
cana-2863	77	60	server	server	NOUN
cana-2863	77	61	is	be	AUX
cana-2863	77	62	idle	idle	ADJ
cana-2863	77	63	at	at	ADP
cana-2863	77	64	time	time	NOUN
cana-2863	77	65	t	t	NOUN
cana-2863	77	66	with	with	ADP
cana-2863	77	67	no	no	DET
cana-2863	77	68	customers	customer	NOUN
cana-2863	77	69	in	in	ADP
cana-2863	77	70	the	the	DET
cana-2863	77	71	retrial	retrial	ADJ
cana-2863	77	72	group	group	NOUN
cana-2863	77	73	.	.	PUNCT
cana-2863	78	1	communications	communication	NOUN
cana-2863	78	2	on	on	ADP
cana-2863	78	3	applied	apply	VERB
cana-2863	78	4	nonlinear	nonlinear	ADJ
cana-2863	78	5	analysis	analysis	NOUN
cana-2863	78	6	issn	issn	NOUN
cana-2863	78	7	:	:	PUNCT
cana-2863	78	8	1074	1074	NUM
cana-2863	78	9	-	-	PUNCT
cana-2863	78	10	133x	133x	NUM
cana-2863	78	11	vol	vol	NOUN
cana-2863	78	12	32	32	NUM
cana-2863	78	13	no	no	NOUN
cana-2863	78	14	.	.	PUNCT
cana-2863	79	1	4s	4s	NUM
cana-2863	79	2	(	(	PUNCT
cana-2863	79	3	2025	2025	NUM
cana-2863	79	4	)	)	PUNCT
cana-2863	79	5	444	444	NUM
cana-2863	79	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	79	7	,	,	PUNCT
cana-2863	79	8	d)t,(en	d)t,(en	NOUN
cana-2863	79	9			X
cana-2863	79	10	1n	1n	NUM
cana-2863	79	11			NUM
cana-2863	79	12	denotes	denote	VERB
cana-2863	79	13	the	the	DET
cana-2863	79	14	probability	probability	NOUN
cana-2863	79	15	that	that	SCONJ
cana-2863	79	16	the	the	DET
cana-2863	79	17	server	server	NOUN
cana-2863	79	18	is	be	AUX
cana-2863	79	19	idle	idle	ADJ
cana-2863	79	20	at	at	ADP
cana-2863	79	21	time	time	NOUN
cana-2863	79	22	t	t	NOUN
cana-2863	79	23	with	with	ADP
cana-2863	79	24	n	n	PRON
cana-2863	79	25	customers	customer	NOUN
cana-2863	79	26	in	in	ADP
cana-2863	79	27	the	the	DET
cana-2863	79	28	retrial	retrial	ADJ
cana-2863	79	29	group	group	NOUN
cana-2863	79	30	and	and	CCONJ
cana-2863	79	31	the	the	DET
cana-2863	79	32	elapsed	elapse	VERB
cana-2863	79	33	retrial	retrial	ADJ
cana-2863	79	34	time	time	NOUN
cana-2863	79	35	is	be	AUX
cana-2863	79	36	between	between	ADP
cana-2863	79	37	and	and	NOUN
cana-2863	79	38	.d+	.d+	PROPN
cana-2863	79	39	,	,	PUNCT
cana-2863	79	40	d)t,(r	d)t,(r	PROPN
cana-2863	79	41	n	n	CCONJ
cana-2863	79	42	,	,	PUNCT
cana-2863	79	43	i	i	PRON
cana-2863	79	44			PUNCT
cana-2863	79	45	,	,	PUNCT
cana-2863	79	46	0n	0n	X
cana-2863	79	47			NUM
cana-2863	80	1	3,2,1i	3,2,1i	NUM
cana-2863	80	2	=	=	PRON
cana-2863	80	3	denotes	denote	VERB
cana-2863	80	4	the	the	DET
cana-2863	80	5	probability	probability	NOUN
cana-2863	80	6	that	that	SCONJ
cana-2863	80	7	the	the	DET
cana-2863	80	8	server	server	NOUN
cana-2863	80	9	is	be	AUX
cana-2863	80	10	busy	busy	ADJ
cana-2863	80	11	in	in	ADP
cana-2863	80	12	ith	ith	PROPN
cana-2863	80	13	phase	phase	NOUN
cana-2863	80	14	of	of	ADP
cana-2863	80	15	service	service	NOUN
cana-2863	80	16	at	at	ADP
cana-2863	80	17	time	time	NOUN
cana-2863	80	18	t	t	NOUN
cana-2863	80	19	with	with	ADP
cana-2863	80	20	n	n	PRON
cana-2863	80	21	customers	customer	NOUN
cana-2863	80	22	in	in	ADP
cana-2863	80	23	the	the	DET
cana-2863	80	24	retrial	retrial	ADJ
cana-2863	80	25	group	group	NOUN
cana-2863	80	26	and	and	CCONJ
cana-2863	80	27	the	the	DET
cana-2863	80	28	elapsed	elapse	VERB
cana-2863	80	29	service	service	NOUN
cana-2863	80	30	time	time	NOUN
cana-2863	80	31	is	be	AUX
cana-2863	80	32	between	between	ADP
cana-2863	80	33	and	and	NOUN
cana-2863	80	34	.d+	.d+	PUNCT
cana-2863	81	1			ADV
cana-2863	81	2	d)t,,(f	d)t,,(f	PROPN
cana-2863	81	3	n	n	CCONJ
cana-2863	81	4	,	,	PUNCT
cana-2863	81	5	i	i	PRON
cana-2863	81	6	,	,	PUNCT
cana-2863	81	7	d	d	NOUN
cana-2863	81	8	,	,	PUNCT
cana-2863	81	9	0n	0n	NOUN
cana-2863	81	10			NUM
cana-2863	81	11	3,2,1i	3,2,1i	NUM
cana-2863	81	12	=	=	PUNCT
cana-2863	81	13	the	the	DET
cana-2863	81	14	probability	probability	NOUN
cana-2863	81	15	that	that	SCONJ
cana-2863	81	16	the	the	DET
cana-2863	81	17	server	server	NOUN
cana-2863	81	18	is	be	AUX
cana-2863	81	19	under	under	ADP
cana-2863	81	20	repair	repair	NOUN
cana-2863	81	21	in	in	ADP
cana-2863	81	22	ith	ith	NOUN
cana-2863	81	23	phase	phase	NOUN
cana-2863	81	24	of	of	ADP
cana-2863	81	25	service	service	NOUN
cana-2863	81	26	at	at	ADP
cana-2863	81	27	time	time	NOUN
cana-2863	81	28	t	t	NOUN
cana-2863	81	29	with	with	ADP
cana-2863	81	30	n	n	PRON
cana-2863	81	31	customers	customer	NOUN
cana-2863	81	32	in	in	ADP
cana-2863	81	33	the	the	DET
cana-2863	81	34	retrial	retrial	ADJ
cana-2863	81	35	group	group	NOUN
cana-2863	81	36	and	and	CCONJ
cana-2863	81	37	the	the	DET
cana-2863	81	38	elapsed	elapse	VERB
cana-2863	81	39	repair	repair	NOUN
cana-2863	81	40	time	time	NOUN
cana-2863	81	41	is	be	AUX
cana-2863	81	42	between	between	ADP
cana-2863	81	43			ADJ
cana-2863	81	44	and	and	CCONJ
cana-2863	81	45	.d+	.d+	NUM
cana-2863	81	46	,	,	PUNCT
cana-2863	81	47	d)t,(vn	d)t,(vn	NOUN
cana-2863	81	48			NUM
cana-2863	81	49	,	,	PUNCT
cana-2863	81	50	0n	0n	X
cana-2863	81	51			NUM
cana-2863	81	52	the	the	DET
cana-2863	81	53	probability	probability	NOUN
cana-2863	81	54	that	that	SCONJ
cana-2863	81	55	the	the	DET
cana-2863	81	56	server	server	NOUN
cana-2863	81	57	is	be	AUX
cana-2863	81	58	on	on	ADP
cana-2863	81	59	vacation	vacation	NOUN
cana-2863	81	60	at	at	ADP
cana-2863	81	61	time	time	NOUN
cana-2863	81	62	t	t	NOUN
cana-2863	81	63	with	with	ADP
cana-2863	81	64	n	n	PRON
cana-2863	81	65	customers	customer	NOUN
cana-2863	81	66	in	in	ADP
cana-2863	81	67	the	the	DET
cana-2863	81	68	retrial	retrial	ADJ
cana-2863	81	69	group	group	NOUN
cana-2863	81	70	and	and	CCONJ
cana-2863	81	71	the	the	DET
cana-2863	81	72	elapsed	elapse	VERB
cana-2863	81	73	vacation	vacation	NOUN
cana-2863	81	74	time	time	NOUN
cana-2863	81	75	is	be	AUX
cana-2863	81	76	between	between	ADP
cana-2863	81	77	and	and	NOUN
cana-2863	81	78	.d+	.d+	PUNCT
cana-2863	82	1	the	the	DET
cana-2863	82	2	system	system	NOUN
cana-2863	82	3	of	of	ADP
cana-2863	82	4	equations	equation	NOUN
cana-2863	82	5	that	that	PRON
cana-2863	82	6	governs	govern	VERB
cana-2863	82	7	the	the	DET
cana-2863	82	8	behaviour	behaviour	NOUN
cana-2863	82	9	of	of	ADP
cana-2863	82	10	the	the	DET
cana-2863	82	11	system	system	NOUN
cana-2863	82	12	is	be	AUX
cana-2863	82	13	given	give	VERB
cana-2863	82	14	below	below	ADP
cana-2863	82	15			ADP
cana-2863	82	16			X
cana-2863	82	17			X
cana-2863	82	18			PUNCT
cana-2863	82	19			VERB
cana-2863	82	20			VERB
cana-2863	82	21			NOUN
cana-2863	82	22			NOUN
cana-2863	82	23	+++=	+++=	NOUN
cana-2863	82	24	0	0	NUM
cana-2863	82	25	0	0	NUM
cana-2863	82	26	0	0	NUM
cana-2863	82	27	0	0	NUM
cana-2863	82	28	030,3320,2110,100	030,3320,2110,100	NUM
cana-2863	83	1	d)()(vd)()(rd)()(rrd)()(rre	d)()(vd)()(rd)()(rrd)()(rre	PROPN
cana-2863	83	2	(	(	PUNCT
cana-2863	83	3	1	1	NUM
cana-2863	83	4	)	)	PUNCT
cana-2863	83	5	1n),(e))(()(e	1n),(e))(()(e	NUM
cana-2863	83	6	nn	nn	X
cana-2863	83	7	+−=	+−=	PROPN
cana-2863	83	8			NOUN
cana-2863	83	9			PRON
cana-2863	83	10			PROPN
cana-2863	83	11			PROPN
cana-2863	83	12			NOUN
cana-2863	83	13			NOUN
cana-2863	84	1			PROPN
cana-2863	84	2	(	(	PUNCT
cana-2863	84	3	2	2	NUM
cana-2863	84	4	)	)	PUNCT
cana-2863	84	5			PUNCT
cana-2863	85	1			VERB
cana-2863	85	2	+++−=	+++−=	NOUN
cana-2863	85	3			NOUN
cana-2863	85	4			PRON
cana-2863	85	5			PROPN
cana-2863	85	6			PROPN
cana-2863	85	7			NOUN
cana-2863	85	8			NOUN
cana-2863	86	1			PROPN
cana-2863	86	2	0	0	NUM
cana-2863	86	3	10,10,1110,1	10,10,1110,1	NUM
cana-2863	86	4	d)(),(f)(r))(q()(r	d)(),(f)(r))(q()(r	PROPN
cana-2863	86	5	(	(	PUNCT
cana-2863	86	6	3	3	NUM
cana-2863	86	7	)	)	PUNCT
cana-2863	86	8	1n	1n	NUM
cana-2863	86	9	,	,	PUNCT
cana-2863	86	10	d)(),(f)(rq)(r))(q()(r	d)(),(f)(rq)(r))(q()(r	NOUN
cana-2863	86	11	0	0	NUM
cana-2863	86	12	1n,1	1n,1	NUM
cana-2863	87	1	n	n	CCONJ
cana-2863	87	2	1k	1k	NUM
cana-2863	87	3	kn,1kn,111n,1	kn,1kn,111n,1	NOUN
cana-2863	87	4	++++−=	++++−=	ADP
cana-2863	87	5			NOUN
cana-2863	87	6			PRON
cana-2863	87	7			PROPN
cana-2863	87	8			PROPN
cana-2863	87	9			NOUN
cana-2863	87	10			NOUN
cana-2863	88	1			ADJ
cana-2863	88	2			X
cana-2863	88	3			X
cana-2863	88	4	=	=	SYM
cana-2863	88	5	−	−	PROPN
cana-2863	88	6	(	(	PUNCT
cana-2863	88	7	4	4	NUM
cana-2863	88	8	)	)	PUNCT
cana-2863	88	9			PUNCT
cana-2863	88	10			VERB
cana-2863	88	11	+++−=	+++−=	NOUN
cana-2863	88	12			NOUN
cana-2863	88	13			PRON
cana-2863	88	14			PROPN
cana-2863	88	15			PROPN
cana-2863	88	16			NOUN
cana-2863	88	17			NOUN
cana-2863	89	1			PROPN
cana-2863	89	2	0	0	NUM
cana-2863	89	3	20,20,2220,2	20,20,2220,2	NUM
cana-2863	89	4	d)(),(f)(r))(q()(r	d)(),(f)(r))(q()(r	PROPN
cana-2863	89	5	(	(	PUNCT
cana-2863	89	6	5	5	NUM
cana-2863	89	7	)	)	PUNCT
cana-2863	89	8	1n	1n	NUM
cana-2863	89	9	,	,	PUNCT
cana-2863	89	10	d)(),(f)(rq)(r))(q()(r	d)(),(f)(rq)(r))(q()(r	NOUN
cana-2863	89	11	0	0	NUM
cana-2863	90	1	2n,2	2n,2	NUM
cana-2863	90	2	n	n	PRON
cana-2863	90	3	1k	1k	PRON
cana-2863	90	4	kn,2kn,222n,2	kn,2kn,222n,2	ADJ
cana-2863	90	5	++++−=	++++−=	ADP
cana-2863	90	6			NOUN
cana-2863	90	7			PRON
cana-2863	90	8			PROPN
cana-2863	90	9			PROPN
cana-2863	90	10			NOUN
cana-2863	90	11			NOUN
cana-2863	91	1			ADJ
cana-2863	91	2			X
cana-2863	91	3			X
cana-2863	91	4	=	=	SYM
cana-2863	91	5	−	−	PROPN
cana-2863	91	6	(	(	PUNCT
cana-2863	91	7	6	6	NUM
cana-2863	91	8	)	)	PUNCT
cana-2863	91	9			PUNCT
cana-2863	91	10			VERB
cana-2863	91	11	+++−=	+++−=	NOUN
cana-2863	91	12			NOUN
cana-2863	91	13			PRON
cana-2863	91	14			PROPN
cana-2863	91	15			PROPN
cana-2863	91	16			NOUN
cana-2863	91	17			NOUN
cana-2863	92	1			ADJ
cana-2863	92	2	0	0	NUM
cana-2863	92	3	30,30,3330,3	30,30,3330,3	NUM
cana-2863	93	1	d)(),(f)(r))(q()(r	d)(),(f)(r))(q()(r	PROPN
cana-2863	93	2	(	(	PUNCT
cana-2863	93	3	7	7	NUM
cana-2863	93	4	)	)	PUNCT
cana-2863	93	5	1n	1n	NUM
cana-2863	93	6	,	,	PUNCT
cana-2863	93	7	d)(),(f)(rq)(r))(q()(r	d)(),(f)(rq)(r))(q()(r	NOUN
cana-2863	93	8	0	0	NUM
cana-2863	94	1	3n,3	3n,3	NUM
cana-2863	94	2	n	n	PROPN
cana-2863	94	3	1k	1k	NUM
cana-2863	94	4	kn,3kn,333n,3	kn,3kn,333n,3	PROPN
cana-2863	94	5	++++−=	++++−=	ADP
cana-2863	94	6			NOUN
cana-2863	94	7			PRON
cana-2863	94	8			PROPN
cana-2863	94	9			PROPN
cana-2863	94	10			NOUN
cana-2863	94	11			NOUN
cana-2863	95	1			ADJ
cana-2863	95	2			X
cana-2863	95	3			X
cana-2863	95	4	=	=	SYM
cana-2863	95	5	−	−	PROPN
cana-2863	95	6	(	(	PUNCT
cana-2863	95	7	8)	8)	NUM
cana-2863	95	8	)	)	PUNCT
cana-2863	95	9	,	,	PUNCT
cana-2863	95	10	(	(	PUNCT
cana-2863	95	11	f))(q(),(f	f))(q(),(f	PROPN
cana-2863	95	12	0,110,1	0,110,1	NOUN
cana-2863	95	13	+−=	+−=	ADP
cana-2863	95	14			NOUN
cana-2863	95	15			PROPN
cana-2863	95	16			PROPN
cana-2863	95	17			PROPN
cana-2863	95	18			NOUN
cana-2863	95	19			PROPN
cana-2863	95	20			PROPN
cana-2863	95	21	+	+	CCONJ
cana-2863	95	22			PROPN
cana-2863	95	23			ADJ
cana-2863	95	24	(	(	PUNCT
cana-2863	95	25	9	9	NUM
cana-2863	95	26	)	)	PUNCT
cana-2863	95	27			X
cana-2863	96	1	=	=	PUNCT
cana-2863	96	2	−	−	ADP
cana-2863	96	3	++−=	++−=	PROPN
cana-2863	96	4			NOUN
cana-2863	96	5			PRON
cana-2863	96	6			PROPN
cana-2863	96	7			PROPN
cana-2863	96	8			NOUN
cana-2863	96	9			PROPN
cana-2863	96	10			PROPN
cana-2863	96	11	+	+	CCONJ
cana-2863	96	12			PROPN
cana-2863	96	13			ADJ
cana-2863	96	14	n	n	CCONJ
cana-2863	96	15	1k	1k	NUM
cana-2863	96	16	kn,1kn,11n,1	kn,1kn,11n,1	PROPN
cana-2863	96	17	1n),,(fq),(f))(q(),(f	1n),,(fq),(f))(q(),(f	NUM
cana-2863	96	18	(	(	PUNCT
cana-2863	96	19	10	10	NUM
cana-2863	96	20	)	)	PUNCT
cana-2863	96	21	)	)	PUNCT
cana-2863	96	22	,	,	PUNCT
cana-2863	96	23	(	(	PUNCT
cana-2863	96	24	f))(q(),(f	f))(q(),(f	NOUN
cana-2863	96	25	0,220,2	0,220,2	VERB
cana-2863	96	26	+−=	+−=	ADP
cana-2863	96	27			NOUN
cana-2863	96	28			PROPN
cana-2863	96	29			PROPN
cana-2863	96	30			PROPN
cana-2863	96	31			NOUN
cana-2863	97	1			PROPN
cana-2863	97	2			PROPN
cana-2863	97	3	+	+	CCONJ
cana-2863	97	4			PROPN
cana-2863	97	5			ADJ
cana-2863	97	6	(	(	PUNCT
cana-2863	97	7	11	11	NUM
cana-2863	97	8	)	)	PUNCT
cana-2863	97	9	communications	communication	NOUN
cana-2863	97	10	on	on	ADP
cana-2863	97	11	applied	apply	VERB
cana-2863	97	12	nonlinear	nonlinear	ADJ
cana-2863	97	13	analysis	analysis	NOUN
cana-2863	97	14	issn	issn	NOUN
cana-2863	97	15	:	:	PUNCT
cana-2863	97	16	1074	1074	NUM
cana-2863	97	17	-	-	PUNCT
cana-2863	97	18	133x	133x	NUM
cana-2863	97	19	vol	vol	NOUN
cana-2863	97	20	32	32	NUM
cana-2863	97	21	no	no	NOUN
cana-2863	97	22	.	.	PUNCT
cana-2863	98	1	4s	4s	NUM
cana-2863	98	2	(	(	PUNCT
cana-2863	98	3	2025	2025	NUM
cana-2863	98	4	)	)	PUNCT
cana-2863	98	5	445	445	NUM
cana-2863	98	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	98	7			X
cana-2863	98	8	=	=	PUNCT
cana-2863	99	1	−	−	VERB
cana-2863	99	2	++−=	++−=	PROPN
cana-2863	99	3			NOUN
cana-2863	99	4			PRON
cana-2863	99	5			PROPN
cana-2863	99	6			PROPN
cana-2863	99	7			NOUN
cana-2863	99	8			PROPN
cana-2863	99	9			PROPN
cana-2863	99	10	+	+	CCONJ
cana-2863	99	11			PROPN
cana-2863	99	12			ADJ
cana-2863	99	13	n	n	CCONJ
cana-2863	99	14	1k	1k	NUM
cana-2863	99	15	kn,2kn,22n,2	kn,2kn,22n,2	PROPN
cana-2863	99	16	1n),,(fq),(f))(q(),(f	1n),,(fq),(f))(q(),(f	NUM
cana-2863	99	17	(	(	PUNCT
cana-2863	99	18	12	12	NUM
cana-2863	99	19	)	)	PUNCT
cana-2863	99	20	)	)	PUNCT
cana-2863	99	21	,	,	PUNCT
cana-2863	99	22	(	(	PUNCT
cana-2863	99	23	f))(q(),(f	f))(q(),(f	NOUN
cana-2863	99	24	0,330,3	0,330,3	NUM
cana-2863	99	25	+−=	+−=	ADP
cana-2863	99	26			NOUN
cana-2863	99	27			PROPN
cana-2863	99	28			PROPN
cana-2863	99	29			PROPN
cana-2863	99	30			NOUN
cana-2863	99	31			PROPN
cana-2863	99	32			PROPN
cana-2863	99	33	+	+	CCONJ
cana-2863	99	34			PROPN
cana-2863	99	35			ADJ
cana-2863	99	36	(	(	PUNCT
cana-2863	99	37	13	13	NUM
cana-2863	99	38	)	)	PUNCT
cana-2863	99	39			X
cana-2863	100	1	=	=	PUNCT
cana-2863	100	2	−	−	ADP
cana-2863	100	3	++−=	++−=	PROPN
cana-2863	100	4			NOUN
cana-2863	100	5			PRON
cana-2863	100	6			PROPN
cana-2863	100	7			PROPN
cana-2863	100	8			NOUN
cana-2863	100	9			PROPN
cana-2863	100	10			PROPN
cana-2863	100	11	+	+	CCONJ
cana-2863	100	12			PROPN
cana-2863	100	13			ADJ
cana-2863	100	14	n	n	PROPN
cana-2863	100	15	1k	1k	PROPN
cana-2863	100	16	kn,3kn,33n,3	kn,3kn,33n,3	PROPN
cana-2863	100	17	1n),,(fq),(f))(q(),(f	1n),,(fq),(f))(q(),(f	NUM
cana-2863	100	18	(	(	PUNCT
cana-2863	100	19	14	14	NUM
cana-2863	100	20	)	)	PUNCT
cana-2863	100	21	)	)	PUNCT
cana-2863	100	22	(	(	PUNCT
cana-2863	100	23	v))(q()(v	v))(q()(v	X
cana-2863	100	24	00	00	NUM
cana-2863	100	25	+−=	+−=	NOUN
cana-2863	100	26			NOUN
cana-2863	100	27			PROPN
cana-2863	100	28			PROPN
cana-2863	100	29			PROPN
cana-2863	100	30			NOUN
cana-2863	100	31			NOUN
cana-2863	100	32			PROPN
cana-2863	100	33	(	(	PUNCT
cana-2863	100	34	15	15	NUM
cana-2863	100	35	)	)	PUNCT
cana-2863	100	36			X
cana-2863	101	1	=	=	SYM
cana-2863	101	2	−	−	PROPN
cana-2863	101	3	++−=	++−=	NOUN
cana-2863	101	4			VERB
cana-2863	101	5			PROPN
cana-2863	101	6			PROPN
cana-2863	101	7			PROPN
cana-2863	101	8			NOUN
cana-2863	101	9			NOUN
cana-2863	102	1			PROPN
cana-2863	102	2	n	n	PROPN
cana-2863	102	3	1k	1k	NUM
cana-2863	102	4	knknn	knknn	NOUN
cana-2863	102	5	1n),(vq)(v))(q()(v	1n),(vq)(v))(q()(v	NUM
cana-2863	102	6	(	(	PUNCT
cana-2863	102	7	16	16	NUM
cana-2863	102	8	)	)	PUNCT
cana-2863	102	9	with	with	ADP
cana-2863	102	10	boundary	boundary	ADJ
cana-2863	102	11	conditions	condition	NOUN
cana-2863	102	12			X
cana-2863	102	13			X
cana-2863	102	14			VERB
cana-2863	102	15	−	−	ADP
cana-2863	102	16			PROPN
cana-2863	102	17			PROPN
cana-2863	102	18	+++=	+++=	NOUN
cana-2863	102	19	0	0	NUM
cana-2863	103	1	31n,33	31n,33	NUM
cana-2863	103	2	0	0	NUM
cana-2863	103	3	0	0	NUM
cana-2863	103	4	3n,332n,2	3n,332n,2	NUM
cana-2863	103	5	0	0	NUM
cana-2863	103	6	211n,110n	211n,110n	NUM
cana-2863	104	1	d)()(rdx)()(rd)()(rrd)()(rr)0(e	d)()(rdx)()(rd)()(rrd)()(rr)0(e	PROPN
cana-2863	104	2	1n	1n	NUM
cana-2863	104	3	,	,	PUNCT
cana-2863	104	4	d)()(vd)()(rd)()(r	d)()(vd)()(rd)()(r	PROPN
cana-2863	104	5	0	0	NUM
cana-2863	105	1	n	n	CCONJ
cana-2863	105	2	0	0	NUM
cana-2863	106	1	21n,2	21n,2	NUM
cana-2863	106	2	0	0	NUM
cana-2863	106	3	2211n,111	2211n,111	NUM
cana-2863	106	4	+++	+++	NOUN
cana-2863	106	5			X
cana-2863	106	6			PROPN
cana-2863	107	1	−	−	NOUN
cana-2863	107	2			VERB
cana-2863	107	3	−	−	PROPN
cana-2863	107	4	(	(	PUNCT
cana-2863	107	5	17	17	NUM
cana-2863	107	6	)	)	PUNCT
cana-2863	108	1			NOUN
cana-2863	108	2			ADV
cana-2863	108	3			PROPN
cana-2863	108	4			PROPN
cana-2863	108	5	++++=	++++=	PUNCT
cana-2863	109	1	0	0	NUM
cana-2863	110	1	20,222	20,222	NUM
cana-2863	110	2	0	0	NUM
cana-2863	110	3	0	0	NUM
cana-2863	110	4	10,111	10,111	NUM
cana-2863	110	5	0	0	NUM
cana-2863	110	6	11010,1	11010,1	NUM
cana-2863	110	7	d)()(rd)()(rd)(epd)()(ee)0(r	d)()(rd)()(rd)(epd)()(ee)0(r	NOUN
cana-2863	110	8			ADV
cana-2863	110	9			PROPN
cana-2863	111	1	++	++	PROPN
cana-2863	111	2	0	0	NUM
cana-2863	111	3	21,221	21,221	NUM
cana-2863	111	4	0	0	NUM
cana-2863	111	5	11,110	11,110	NUM
cana-2863	111	6	d)()(rrd)()(rr	d)()(rrd)()(rr	NOUN
cana-2863	111	7	(	(	PUNCT
cana-2863	111	8	18	18	NUM
cana-2863	111	9	)	)	PUNCT
cana-2863	111	10			PUNCT
cana-2863	111	11			X
cana-2863	112	1			VERB
cana-2863	112	2			PROPN
cana-2863	113	1	+	+	ADP
cana-2863	113	2	−	−	PROPN
cana-2863	113	3	+	+	NOUN
cana-2863	113	4	=	=	AUX
cana-2863	113	5			VERB
cana-2863	113	6	+	+	NOUN
cana-2863	113	7	−	−	NOUN
cana-2863	114	1	=	=	SYM
cana-2863	115	1	+	+	PROPN
cana-2863	115	2	+	+	X
cana-2863	115	3	++++=	++++=	SYM
cana-2863	115	4	0	0	SYM
cana-2863	115	5	0	0	NUM
cana-2863	115	6	1n,111	1n,111	NUM
cana-2863	115	7	0	0	NUM
cana-2863	115	8	2kn	2kn	ADJ
cana-2863	115	9	1n	1n	NUM
cana-2863	116	1	1k	1k	NUM
cana-2863	116	2	k	k	NOUN
cana-2863	116	3	0	0	NUM
cana-2863	116	4	1kn	1kn	NOUN
cana-2863	116	5	n	n	CCONJ
cana-2863	116	6	1k	1k	NUM
cana-2863	116	7	k1n01nn,1	k1n01nn,1	PROPN
cana-2863	116	8	d)()(rd)(ep)(epd)()(ee)0(r	d)()(rd)(ep)(epd)()(ee)0(r	PROPN
cana-2863	116	9	1n	1n	PROPN
cana-2863	116	10	,	,	PUNCT
cana-2863	116	11	d)()(rrd)()(rrd)()(r	d)()(rrd)()(rrd)()(r	VERB
cana-2863	116	12	0	0	NUM
cana-2863	117	1	21n,221	21n,221	NUM
cana-2863	117	2	0	0	NUM
cana-2863	117	3	11n,110	11n,110	NUM
cana-2863	117	4	0	0	NUM
cana-2863	117	5	2n,222	2n,222	PROPN
cana-2863	117	6	+++	+++	PROPN
cana-2863	117	7			PROPN
cana-2863	117	8			VERB
cana-2863	117	9	+	+	CCONJ
cana-2863	117	10			X
cana-2863	117	11	+	+	CCONJ
cana-2863	117	12			NOUN
cana-2863	117	13	(	(	PUNCT
cana-2863	117	14	19	19	NUM
cana-2863	117	15	)	)	PUNCT
cana-2863	117	16			PUNCT
cana-2863	117	17			VERB
cana-2863	117	18	=	=	PROPN
cana-2863	117	19	0	0	NUM
cana-2863	117	20	1n,11n,2	1n,11n,2	PROPN
cana-2863	117	21	0n	0n	NUM
cana-2863	117	22	,	,	PUNCT
cana-2863	117	23	d)()(w)0(r	d)()(w)0(r	NOUN
cana-2863	117	24	(	(	PUNCT
cana-2863	117	25	20	20	NUM
cana-2863	117	26	)	)	PUNCT
cana-2863	117	27			PUNCT
cana-2863	117	28			VERB
cana-2863	117	29	=	=	NUM
cana-2863	117	30	0	0	NUM
cana-2863	117	31	2n,22n,3	2n,22n,3	NUM
cana-2863	117	32	0n	0n	NOUN
cana-2863	117	33	,	,	PUNCT
cana-2863	117	34	d)()(r)0(r	d)()(r)0(r	NOUN
cana-2863	117	35	(	(	PUNCT
cana-2863	117	36	21	21	NUM
cana-2863	117	37	)	)	PUNCT
cana-2863	117	38	0n),(r)0,(f	0n),(r)0,(f	PROPN
cana-2863	117	39	n,11n,1	n,11n,1	NOUN
cana-2863	117	40	=	=	X
cana-2863	118	1	(	(	PUNCT
cana-2863	118	2	22	22	NUM
cana-2863	118	3	)	)	PUNCT
cana-2863	118	4	0n),(r)0,(f	0n),(r)0,(f	PROPN
cana-2863	118	5	n,22n,2	n,22n,2	ADJ
cana-2863	118	6	=	=	X
cana-2863	118	7	(	(	PUNCT
cana-2863	118	8	23	23	NUM
cana-2863	118	9	)	)	PUNCT
cana-2863	118	10	communications	communication	NOUN
cana-2863	118	11	on	on	ADP
cana-2863	118	12	applied	apply	VERB
cana-2863	118	13	nonlinear	nonlinear	ADJ
cana-2863	118	14	analysis	analysis	NOUN
cana-2863	118	15	issn	issn	NOUN
cana-2863	118	16	:	:	PUNCT
cana-2863	118	17	1074	1074	NUM
cana-2863	118	18	-	-	PUNCT
cana-2863	118	19	133x	133x	NUM
cana-2863	118	20	vol	vol	NOUN
cana-2863	118	21	32	32	NUM
cana-2863	118	22	no	no	NOUN
cana-2863	118	23	.	.	PUNCT
cana-2863	119	1	4s	4s	NUM
cana-2863	119	2	(	(	PUNCT
cana-2863	119	3	2025	2025	NUM
cana-2863	119	4	)	)	PUNCT
cana-2863	119	5	446	446	NUM
cana-2863	119	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	119	7	0n),(r)0,(f	0n),(r)0,(f	PROPN
cana-2863	119	8	n,33n,3	n,33n,3	X
cana-2863	119	9	=	=	PROPN
cana-2863	119	10	(	(	PUNCT
cana-2863	119	11	24	24	NUM
cana-2863	119	12	)	)	PUNCT
cana-2863	119	13	0n	0n	NOUN
cana-2863	119	14	,	,	PUNCT
cana-2863	119	15	d)()(r)0(v	d)()(r)0(v	PROPN
cana-2863	119	16	3	3	NUM
cana-2863	119	17	0	0	NUM
cana-2863	119	18	n,3n	n,3n	NOUN
cana-2863	119	19	=	=	NOUN
cana-2863	119	20			NOUN
cana-2863	119	21			PROPN
cana-2863	119	22	(	(	PUNCT
cana-2863	119	23	25	25	NUM
cana-2863	119	24	)	)	PUNCT
cana-2863	119	25	the	the	DET
cana-2863	119	26	normalizing	normalizing	ADJ
cana-2863	119	27	condition	condition	NOUN
cana-2863	119	28	is	be	AUX
cana-2863	119	29			NUM
cana-2863	119	30			NOUN
cana-2863	119	31	=	=	PUNCT
cana-2863	119	32			NOUN
cana-2863	119	33	=	=	PUNCT
cana-2863	119	34			PROPN
cana-2863	119	35	=	=	PUNCT
cana-2863	120	1			PROPN
cana-2863	120	2	=	=	PUNCT
cana-2863	120	3			PROPN
cana-2863	120	4	=	=	PRON
cana-2863	120	5			VERB
cana-2863	120	6	+	+	PUNCT
cana-2863	120	7	+++++	+++++	DET
cana-2863	120	8	0n	0n	NOUN
cana-2863	120	9	0	0	NUM
cana-2863	120	10	0	0	NUM
cana-2863	120	11	n,1	n,1	NOUN
cana-2863	120	12	0n	0n	NOUN
cana-2863	120	13	0	0	PUNCT
cana-2863	120	14	n,3	n,3	DET
cana-2863	120	15	0n	0n	NOUN
cana-2863	120	16	0	0	NUM
cana-2863	120	17	n,2	n,2	VERB
cana-2863	120	18	0n	0n	NOUN
cana-2863	120	19	0	0	PUNCT
cana-2863	120	20	n,1	n,1	NOUN
cana-2863	120	21	1n	1n	NUM
cana-2863	120	22	0	0	NUM
cana-2863	120	23	n0	n0	NUM
cana-2863	120	24	dd),(fd)(rd)(rd)(rd)(ee	dd),(fd)(rd)(rd)(rd)(ee	NOUN
cana-2863	120	25			X
cana-2863	120	26			PROPN
cana-2863	120	27			VERB
cana-2863	120	28	=	=	SYM
cana-2863	120	29			X
cana-2863	120	30	=	=	PUNCT
cana-2863	120	31			NOUN
cana-2863	120	32	=	=	PUNCT
cana-2863	120	33			PROPN
cana-2863	121	1	=	=	SYM
cana-2863	121	2	++	++	PROPN
cana-2863	121	3	0n	0n	NOUN
cana-2863	121	4	0n	0n	NUM
cana-2863	121	5	0	0	NUM
cana-2863	122	1	n	n	CCONJ
cana-2863	122	2	0	0	NUM
cana-2863	122	3	0	0	NUM
cana-2863	122	4	n,3	n,3	NOUN
cana-2863	122	5	0n	0n	NOUN
cana-2863	122	6	0	0	NUM
cana-2863	122	7	0	0	NUM
cana-2863	122	8	n,2	n,2	VERB
cana-2863	122	9	1d)(vdd),(fdd),(f	1d)(vdd),(fdd),(f	NUM
cana-2863	122	10	define	define	VERB
cana-2863	122	11	the	the	DET
cana-2863	122	12	probability	probability	NOUN
cana-2863	122	13	generating	generating	NOUN
cana-2863	122	14	functions	function	NOUN
cana-2863	122	15			X
cana-2863	122	16			VERB
cana-2863	122	17	=	=	PUNCT
cana-2863	122	18	=	=	NOUN
cana-2863	122	19	1n	1n	NUM
cana-2863	122	20	n	n	CCONJ
cana-2863	122	21	n	n	NOUN
cana-2863	122	22	)	)	PUNCT
cana-2863	122	23	(	(	PUNCT
cana-2863	122	24	e),(e	e),(e	NOUN
cana-2863	122	25	;	;	PUNCT
cana-2863	122	26			X
cana-2863	122	27			VERB
cana-2863	122	28	=	=	PUNCT
cana-2863	122	29	=	=	PROPN
cana-2863	122	30	0n	0n	NOUN
cana-2863	122	31	n	n	PROPN
cana-2863	122	32	n,11	n,11	NUM
cana-2863	122	33	)	)	PUNCT
cana-2863	122	34	(	(	PUNCT
cana-2863	122	35	r),(r	r),(r	NOUN
cana-2863	122	36			X
cana-2863	122	37			VERB
cana-2863	122	38	=	=	PUNCT
cana-2863	122	39	=	=	PROPN
cana-2863	122	40	0n	0n	NOUN
cana-2863	122	41	n	n	PROPN
cana-2863	122	42	n,22	n,22	X
cana-2863	122	43	)	)	PUNCT
cana-2863	122	44	(	(	PUNCT
cana-2863	122	45	r),(r	r),(r	PROPN
cana-2863	122	46	;	;	PUNCT
cana-2863	122	47			X
cana-2863	122	48			VERB
cana-2863	122	49	=	=	PUNCT
cana-2863	122	50	=	=	PROPN
cana-2863	122	51	0n	0n	PROPN
cana-2863	122	52	n	n	PROPN
cana-2863	122	53	n,33	n,33	PROPN
cana-2863	122	54	)	)	PUNCT
cana-2863	122	55	(	(	PUNCT
cana-2863	122	56	r),(r	r),(r	NOUN
cana-2863	122	57			X
cana-2863	122	58			VERB
cana-2863	122	59	=	=	PUNCT
cana-2863	122	60	=	=	NOUN
cana-2863	122	61	0n	0n	NOUN
cana-2863	122	62	n	n	PRON
cana-2863	122	63	n,11	n,11	NUM
cana-2863	122	64	)	)	PUNCT
cana-2863	122	65	,	,	PUNCT
cana-2863	122	66	(	(	PUNCT
cana-2863	122	67	f),,(f	f),,(f	NOUN
cana-2863	122	68	;	;	PUNCT
cana-2863	122	69			X
cana-2863	122	70			VERB
cana-2863	122	71	=	=	PUNCT
cana-2863	122	72	=	=	PROPN
cana-2863	122	73	0n	0n	NUM
cana-2863	122	74	n	n	X
cana-2863	122	75	n,22	n,22	X
cana-2863	122	76	)	)	PUNCT
cana-2863	122	77	,	,	PUNCT
cana-2863	122	78	(	(	PUNCT
cana-2863	122	79	f),,(f	f),,(f	X
cana-2863	122	80			X
cana-2863	122	81			VERB
cana-2863	122	82	=	=	PUNCT
cana-2863	122	83	=	=	PROPN
cana-2863	122	84	0n	0n	NOUN
cana-2863	122	85	n	n	PRON
cana-2863	122	86	n,33	n,33	PROPN
cana-2863	122	87	)	)	PUNCT
cana-2863	122	88	,	,	PUNCT
cana-2863	122	89	(	(	PUNCT
cana-2863	122	90	f),,(f	f),,(f	NOUN
cana-2863	122	91	;	;	PUNCT
cana-2863	122	92			X
cana-2863	122	93			VERB
cana-2863	122	94	=	=	PUNCT
cana-2863	122	95	=	=	PROPN
cana-2863	122	96	0n	0n	NOUN
cana-2863	122	97	n	n	CCONJ
cana-2863	122	98	n	n	PROPN
cana-2863	122	99	)	)	PUNCT
cana-2863	122	100	(	(	PUNCT
cana-2863	122	101	v),(v	v),(v	NOUN
cana-2863	122	102	theorem	theorem	VERB
cana-2863	122	103	2.1	2.1	NUM
cana-2863	122	104	the	the	DET
cana-2863	122	105	partial	partial	ADJ
cana-2863	122	106	probability	probability	NOUN
cana-2863	122	107	generating	generating	NOUN
cana-2863	122	108	function	function	NOUN
cana-2863	122	109	of	of	ADP
cana-2863	122	110	the	the	DET
cana-2863	122	111	joint	joint	ADJ
cana-2863	122	112	probability	probability	NOUN
cana-2863	122	113	distribution	distribution	NOUN
cana-2863	122	114	for	for	ADP
cana-2863	122	115	the	the	DET
cana-2863	122	116	server	server	NOUN
cana-2863	122	117	being	be	AUX
cana-2863	122	118	idle	idle	ADJ
cana-2863	122	119	,	,	PUNCT
cana-2863	122	120	busy	busy	ADJ
cana-2863	122	121	with	with	ADP
cana-2863	122	122	three	three	NUM
cana-2863	122	123	phases	phase	NOUN
cana-2863	122	124	,	,	PUNCT
cana-2863	122	125	under	under	ADP
cana-2863	122	126	repair	repair	NOUN
cana-2863	122	127	in	in	ADP
cana-2863	122	128	three	three	NUM
cana-2863	122	129	phases	phase	NOUN
cana-2863	122	130	and	and	CCONJ
cana-2863	122	131	on	on	ADP
cana-2863	122	132	vacation	vacation	NOUN
cana-2863	122	133	are	be	AUX
cana-2863	122	134	respectively	respectively	ADV
cana-2863	122	135	given	give	VERB
cana-2863	122	136	)	)	PUNCT
cana-2863	122	137	(	(	PUNCT
cana-2863	122	138	u/])(m)()(m))[(k1(e)(e	u/])(m)()(m))[(k1(e)(e	NOUN
cana-2863	122	139	2	2	NUM
cana-2863	122	140	23	23	NUM
cana-2863	122	141	*	*	SYM
cana-2863	122	142	0	0	PUNCT
cana-2863	123	1	−+−=	−+−=	NOUN
cana-2863	123	2	(	(	PUNCT
cana-2863	123	3	26	26	NUM
cana-2863	123	4	)	)	PUNCT
cana-2863	123	5	)	)	PUNCT
cana-2863	123	6	)	)	PUNCT
cana-2863	124	1	(	(	PUNCT
cana-2863	124	2	qq(g)(u/)))](qq(g(j1)][(m)([e)(r	qq(g)(u/)))](qq(g(j1)][(m)([e)(r	NOUN
cana-2863	124	3	11	11	NUM
cana-2863	124	4	*	*	SYM
cana-2863	124	5	1101	1101	NUM
cana-2863	124	6	−−−−=	−−−−=	PROPN
cana-2863	124	7	(	(	PUNCT
cana-2863	124	8	27	27	NUM
cana-2863	124	9	)	)	PUNCT
cana-2863	124	10	)	)	PUNCT
cana-2863	124	11	)	)	PUNCT
cana-2863	124	12	(	(	PUNCT
cana-2863	124	13	qq(g)(u/)))](qq(g(j1))[(qq(g(j)](m)([e)(r	qq(g)(u/)))](qq(g(j1))[(qq(g(j)](m)([e)(r	PROPN
cana-2863	124	14	22	22	NUM
cana-2863	124	15	*	*	SYM
cana-2863	124	16	21	21	NUM
cana-2863	124	17	*	*	SYM
cana-2863	124	18	11012	11012	NUM
cana-2863	124	19	−−−−−=	−−−−−=	NOUN
cana-2863	124	20	(	(	PUNCT
cana-2863	124	21	28	28	NUM
cana-2863	124	22	)	)	PUNCT
cana-2863	124	23	)	)	PUNCT
cana-2863	124	24	)	)	PUNCT
cana-2863	124	25	(	(	PUNCT
cana-2863	124	26	qq(g)(u	qq(g)(u	NUM
cana-2863	124	27	)	)	PUNCT
cana-2863	124	28	)	)	PUNCT
cana-2863	124	29	)	)	PUNCT
cana-2863	124	30	]	]	PUNCT
cana-2863	124	31	(	(	PUNCT
cana-2863	124	32	qq(g(j1))[(qq(g(j))(qq(g(j)](m)([e	qq(g(j1))[(qq(g(j))(qq(g(j)](m)([e	NUM
cana-2863	124	33	)	)	PUNCT
cana-2863	124	34	(	(	PUNCT
cana-2863	124	35	r	r	NOUN
cana-2863	124	36	3	3	NUM
cana-2863	124	37	3	3	NUM
cana-2863	124	38	*	*	SYM
cana-2863	124	39	32	32	NUM
cana-2863	124	40	*	*	SYM
cana-2863	124	41	21	21	NUM
cana-2863	124	42	*	*	SYM
cana-2863	124	43	11021	11021	NUM
cana-2863	124	44	3	3	NUM
cana-2863	124	45	−	−	NOUN
cana-2863	124	46	−−−−−	−−−−−	NUM
cana-2863	124	47	=	=	ADJ
cana-2863	124	48			X
cana-2863	124	49	(	(	PUNCT
cana-2863	124	50	29	29	NUM
cana-2863	124	51	)	)	PUNCT
cana-2863	124	52	)	)	PUNCT
cana-2863	124	53	)	)	PUNCT
cana-2863	124	54	(	(	PUNCT
cana-2863	124	55	qq/())](qq(f1)[(r)(f	qq/())](qq(f1)[(r)(f	PROPN
cana-2863	124	56	*	*	PUNCT
cana-2863	124	57	1111	1111	NUM
cana-2863	124	58	−−−=	−−−=	X
cana-2863	124	59	(	(	PUNCT
cana-2863	124	60	30	30	NUM
cana-2863	124	61	)	)	PUNCT
cana-2863	124	62	)	)	PUNCT
cana-2863	124	63	)	)	PUNCT
cana-2863	124	64	(	(	PUNCT
cana-2863	124	65	qq/())](qq(f1)[(r)(f	qq/())](qq(f1)[(r)(f	PROPN
cana-2863	124	66	*	*	SYM
cana-2863	124	67	2222	2222	NUM
cana-2863	124	68	−−−=	−−−=	X
cana-2863	124	69	(	(	PUNCT
cana-2863	124	70	31	31	NUM
cana-2863	124	71	)	)	PUNCT
cana-2863	124	72	)	)	PUNCT
cana-2863	124	73	)	)	PUNCT
cana-2863	124	74	(	(	PUNCT
cana-2863	124	75	qq/())](qq(f1)[(r)(f	qq/())](qq(f1)[(r)(f	PROPN
cana-2863	124	76	*	*	PUNCT
cana-2863	124	77	3333	3333	NUM
cana-2863	124	78	−−−=	−−−=	X
cana-2863	124	79	(	(	PUNCT
cana-2863	124	80	32	32	NUM
cana-2863	124	81	)	)	PUNCT
cana-2863	124	82	)	)	PUNCT
cana-2863	124	83	)	)	PUNCT
cana-2863	124	84	(	(	PUNCT
cana-2863	124	85	qq/())](qq(v1)[(r)(v	qq/())](qq(v1)[(r)(v	SCONJ
cana-2863	124	86	3	3	NUM
cana-2863	124	87	−−−=	−−−=	ADP
cana-2863	124	88	(	(	PUNCT
cana-2863	124	89	33	33	NUM
cana-2863	124	90	)	)	PUNCT
cana-2863	124	91	communications	communication	NOUN
cana-2863	124	92	on	on	ADP
cana-2863	124	93	applied	apply	VERB
cana-2863	124	94	nonlinear	nonlinear	ADJ
cana-2863	124	95	analysis	analysis	NOUN
cana-2863	124	96	issn	issn	NOUN
cana-2863	124	97	:	:	PUNCT
cana-2863	124	98	1074	1074	NUM
cana-2863	124	99	-	-	PUNCT
cana-2863	124	100	133x	133x	NUM
cana-2863	124	101	vol	vol	NOUN
cana-2863	124	102	32	32	NUM
cana-2863	124	103	no	no	NOUN
cana-2863	124	104	.	.	PUNCT
cana-2863	125	1	4s	4s	NUM
cana-2863	125	2	(	(	PUNCT
cana-2863	125	3	2025	2025	NUM
cana-2863	125	4	)	)	PUNCT
cana-2863	125	5	447	447	NUM
cana-2863	125	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	126	1	]	]	PUNCT
cana-2863	126	2	1ncqnc)[(k)nt))((k1(p	1ncqnc)[(k)nt))((k1(p	X
cana-2863	126	3	ncq)cp))((k1(t1	ncq)cp))((k1(t1	PRON
cana-2863	126	4	e	e	NOUN
cana-2863	126	5	21312111	21312111	NUM
cana-2863	126	6	*	*	PUNCT
cana-2863	126	7	*	*	PUNCT
cana-2863	126	8	21312111	21312111	NUM
cana-2863	126	9	*	*	SYM
cana-2863	126	10	0	0	NUM
cana-2863	126	11	−−−−−−++−	−−−−−−++−	NUM
cana-2863	126	12	−−−−−−+	−−−−−−+	NOUN
cana-2863	126	13	=	=	SYM
cana-2863	126	14	(	(	PUNCT
cana-2863	126	15	34	34	NUM
cana-2863	126	16	)	)	PUNCT
cana-2863	126	17	where	where	SCONJ
cana-2863	126	18	,	,	PUNCT
cana-2863	126	19	)	)	PUNCT
cana-2863	126	20	(	(	PUNCT
cana-2863	126	21	m)(m)]pp)(())(k1()(k[)(u	m)(m)]pp)(())(k1()(k[)(u	PROPN
cana-2863	126	22	32	32	NUM
cana-2863	126	23	*	*	NOUN
cana-2863	126	24	*	*	X
cana-2863	126	25	2	2	NUM
cana-2863	126	26	−+−+−=	−+−+−=	NUM
cana-2863	126	27	)	)	PUNCT
cana-2863	126	28	pp)(())(k1()(k)(m	pp)(())(k1()(k)(m	ADJ
cana-2863	127	1	*	*	PUNCT
cana-2863	127	2	*	*	PUNCT
cana-2863	127	3	1	1	NUM
cana-2863	127	4	+	+	NOUN
cana-2863	127	5	−+=	−+=	X
cana-2863	127	6	)	)	PUNCT
cana-2863	127	7	(	(	PUNCT
cana-2863	127	8	)	)	PUNCT
cana-2863	127	9	)	)	PUNCT
cana-2863	127	10	)	)	PUNCT
cana-2863	127	11	(	(	PUNCT
cana-2863	127	12	qq(g(j)r()r())){(qq(g(j)(m	qq(g(j)r()r())){(qq(g(j)(m	NUM
cana-2863	127	13	2132132	2132132	NUM
cana-2863	127	14	*	*	SYM
cana-2863	127	15	221211011	221211011	NUM
cana-2863	127	16	*	*	SYM
cana-2863	127	17	12	12	NUM
cana-2863	127	18	++−+++−=	++−+++−=	NOUN
cana-2863	127	19	)	)	PUNCT
cana-2863	127	20	)	)	PUNCT
cana-2863	127	21	)	)	PUNCT
cana-2863	128	1	(	(	PUNCT
cana-2863	128	2	qq(g(j)))(qq(g(j)))(qq(g(j)))(qq(g(j	qq(g(j)))(qq(g(j)))(qq(g(j)))(qq(g(j	NUM
cana-2863	128	3	2	2	NUM
cana-2863	128	4	*	*	SYM
cana-2863	128	5	21	21	NUM
cana-2863	128	6	*	*	SYM
cana-2863	128	7	1213	1213	NUM
cana-2863	128	8	*	*	PUNCT
cana-2863	128	9	32	32	NUM
cana-2863	128	10	*	*	SYM
cana-2863	128	11	2	2	NUM
cana-2863	128	12	−−+−−	−−+−−	NOUN
cana-2863	128	13	)	)	PUNCT
cana-2863	128	14	)	)	PUNCT
cana-2863	128	15	}	}	PUNCT
cana-2863	128	16	(	(	PUNCT
cana-2863	128	17	qq(v)))(qq(g(j	qq(v)))(qq(g(j	PROPN
cana-2863	128	18	*	*	SYM
cana-2863	128	19	3	3	NUM
cana-2863	128	20	*	*	SYM
cana-2863	128	21	3	3	NUM
cana-2863	128	22	−−	−−	NOUN
cana-2863	128	23	)	)	PUNCT
cana-2863	128	24	)	)	PUNCT
cana-2863	128	25	)	)	PUNCT
cana-2863	129	1	]	]	PUNCT
cana-2863	129	2	(	(	PUNCT
cana-2863	129	3	qq(g(j)r()r()))[(qq(g(j)(m	qq(g(j)r()r()))[(qq(g(j)(m	VERB
cana-2863	129	4	2	2	NUM
cana-2863	129	5	*	*	SYM
cana-2863	129	6	221211011	221211011	NUM
cana-2863	129	7	*	*	SYM
cana-2863	129	8	13	13	NUM
cana-2863	129	9	−+++−=	−+++−=	PROPN
cana-2863	129	10	proof	proof	NOUN
cana-2863	129	11	to	to	PART
cana-2863	129	12	derive	derive	VERB
cana-2863	129	13	the	the	DET
cana-2863	129	14	probability	probability	NOUN
cana-2863	129	15	generating	generating	NOUN
cana-2863	129	16	function	function	NOUN
cana-2863	129	17	,	,	PUNCT
cana-2863	129	18	we	we	PRON
cana-2863	129	19	proceed	proceed	VERB
cana-2863	129	20	by	by	ADP
cana-2863	129	21	multiplying	multiply	VERB
cana-2863	129	22	equations	equation	NOUN
cana-2863	129	23	(	(	PUNCT
cana-2863	129	24	2	2	NUM
cana-2863	129	25	)	)	PUNCT
cana-2863	129	26	to	to	ADP
cana-2863	129	27	(	(	PUNCT
cana-2863	129	28	25	25	NUM
cana-2863	129	29	)	)	PUNCT
cana-2863	129	30	by	by	ADP
cana-2863	129	31	nz	nz	NOUN
cana-2863	129	32	and	and	CCONJ
cana-2863	129	33	summing	sum	VERB
cana-2863	129	34	over	over	ADP
cana-2863	129	35	suitable	suitable	ADJ
cana-2863	129	36	powers	power	NOUN
cana-2863	129	37	of	of	ADP
cana-2863	129	38	n	n	CCONJ
cana-2863	129	39	,	,	PUNCT
cana-2863	129	40	we	we	PRON
cana-2863	129	41	get	get	VERB
cana-2863	129	42	the	the	DET
cana-2863	129	43	resulting	result	VERB
cana-2863	129	44	partial	partial	ADJ
cana-2863	129	45	differential	differential	ADJ
cana-2863	129	46	equations	equation	NOUN
cana-2863	129	47	)	)	PUNCT
cana-2863	129	48	)	)	PUNCT
cana-2863	130	1	(	(	PUNCT
cana-2863	130	2	k1(e),0(e),(e	k1(e),0(e),(e	PROPN
cana-2863	130	3	−=	−=	PROPN
cana-2863	130	4	−	−	PROPN
cana-2863	130	5	(	(	PUNCT
cana-2863	130	6	35	35	NUM
cana-2863	130	7	)	)	PUNCT
cana-2863	130	8	3,2,1i	3,2,1i	NUM
cana-2863	130	9	,	,	PUNCT
cana-2863	130	10	d)(),,(f),(r)(q)(q	d)(),,(f),(r)(q)(q	PROPN
cana-2863	130	11	(	(	PUNCT
cana-2863	130	12	d	d	PROPN
cana-2863	130	13	d	d	X
cana-2863	130	14	0	0	NUM
cana-2863	130	15	iiiii	iiiii	NOUN
cana-2863	130	16	=	=	SYM
cana-2863	130	17	=	=	PROPN
cana-2863	130	18			VERB
cana-2863	130	19			PRON
cana-2863	130	20			PROPN
cana-2863	130	21			PROPN
cana-2863	130	22			NOUN
cana-2863	130	23	−+++	−+++	NOUN
cana-2863	130	24			NOUN
cana-2863	130	25			ADP
cana-2863	130	26			PROPN
cana-2863	130	27	(	(	PUNCT
cana-2863	130	28	36	36	NUM
cana-2863	130	29	)	)	PUNCT
cana-2863	130	30	3,2,1i)),(f1(e),,0(f),,(f	3,2,1i)),(f1(e),,0(f),,(f	NUM
cana-2863	130	31	i	i	NOUN
cana-2863	130	32	)	)	PUNCT
cana-2863	130	33	)	)	PUNCT
cana-2863	130	34	(	(	PUNCT
cana-2863	130	35	1(q	1(q	NUM
cana-2863	130	36	ii	ii	NOUN
cana-2863	130	37	=	=	NOUN
cana-2863	130	38	−=	−=	NOUN
cana-2863	130	39	−−	−−	NOUN
cana-2863	130	40	(	(	PUNCT
cana-2863	130	41	37	37	NUM
cana-2863	130	42	)	)	PUNCT
cana-2863	130	43	)	)	PUNCT
cana-2863	130	44	)	)	PUNCT
cana-2863	130	45	(	(	PUNCT
cana-2863	130	46	v1(e),0(v),(v	v1(e),0(v),(v	NUM
cana-2863	130	47	)	)	PUNCT
cana-2863	130	48	)	)	PUNCT
cana-2863	130	49	(	(	PUNCT
cana-2863	130	50	1(q	1(q	NUM
cana-2863	130	51	−=	−=	PROPN
cana-2863	130	52	−−	−−	NOUN
cana-2863	130	53	(	(	PUNCT
cana-2863	130	54	38	38	NUM
cana-2863	130	55	)	)	PUNCT
cana-2863	130	56			PUNCT
cana-2863	130	57			PUNCT
cana-2863	130	58			ADV
cana-2863	130	59			VERB
cana-2863	130	60			PROPN
cana-2863	130	61			PROPN
cana-2863	130	62	+++=	+++=	NOUN
cana-2863	130	63	0	0	NUM
cana-2863	130	64	0	0	SYM
cana-2863	130	65	0	0	NUM
cana-2863	130	66	333	333	NUM
cana-2863	130	67	0	0	NUM
cana-2863	130	68	33322211110	33322211110	NUM
cana-2863	130	69	d)(),(rd)(),(rd)(),(rrd)(),(rr),0(e	d)(),(rd)(),(rd)(),(rrd)(),(rr),0(e	NOUN
cana-2863	130	70			X
cana-2863	130	71			X
cana-2863	130	72			PUNCT
cana-2863	130	73			VERB
cana-2863	130	74			VERB
cana-2863	130	75			NOUN
cana-2863	130	76	−+++	−+++	NOUN
cana-2863	130	77	0	0	NUM
cana-2863	130	78	0	0	NUM
cana-2863	130	79	0	0	NUM
cana-2863	130	80	0	0	NUM
cana-2863	130	81	22221111	22221111	NUM
cana-2863	130	82	ed)(),(vd)(),(rzd)(),(rz	ed)(),(vd)(),(rzd)(),(rz	PROPN
cana-2863	130	83	(	(	PUNCT
cana-2863	130	84	39	39	NUM
cana-2863	130	85	)	)	PUNCT
cana-2863	130	86			NOUN
cana-2863	130	87			ADV
cana-2863	130	88			PROPN
cana-2863	130	89			PROPN
cana-2863	130	90			ADP
cana-2863	130	91			PROPN
cana-2863	130	92			PROPN
cana-2863	131	1	+	+	NOUN
cana-2863	131	2			PRON
cana-2863	131	3			ADJ
cana-2863	131	4			ADJ
cana-2863	131	5	+	+	NOUN
cana-2863	131	6			PRON
cana-2863	131	7			ADJ
cana-2863	131	8			ADJ
cana-2863	131	9	+	+	ADJ
cana-2863	131	10			ADJ
cana-2863	131	11			ADJ
cana-2863	131	12	+	+	ADJ
cana-2863	131	13			ADJ
cana-2863	131	14			ADJ
cana-2863	131	15	=	=	ADJ
cana-2863	131	16			ADJ
cana-2863	131	17	0	0	NUM
cana-2863	131	18	11	11	NUM
cana-2863	131	19	10	10	NUM
cana-2863	131	20	0	0	NUM
cana-2863	131	21	0	0	NUM
cana-2863	131	22	2	2	NUM
cana-2863	131	23	0	0	NUM
cana-2863	131	24	01	01	NUM
cana-2863	131	25	d)(),(r	d)(),(r	PROPN
cana-2863	131	26	r	r	NOUN
cana-2863	131	27	d),(e	d),(e	PROPN
cana-2863	131	28	)	)	PUNCT
cana-2863	131	29	(	(	PUNCT
cana-2863	131	30	p	p	NOUN
cana-2863	131	31	d),(e	d),(e	NOUN
cana-2863	131	32	)	)	PUNCT
cana-2863	131	33	(	(	PUNCT
cana-2863	131	34	p	p	NOUN
cana-2863	131	35	d)(),(e	d)(),(e	PROPN
cana-2863	131	36	1	1	NUM
cana-2863	131	37	e	e	NOUN
cana-2863	131	38	)	)	PUNCT
cana-2863	131	39	(	(	PUNCT
cana-2863	131	40	)	)	PUNCT
cana-2863	131	41	,	,	PUNCT
cana-2863	131	42	0(r	0(r	NOUN
cana-2863	131	43	++	++	PROPN
cana-2863	131	44			PROPN
cana-2863	131	45			PROPN
cana-2863	131	46	+	+	CCONJ
cana-2863	132	1			PROPN
cana-2863	132	2			VERB
cana-2863	132	3	d)(),(rd)(),(rd)(),(r	d)(),(rd)(),(rd)(),(r	PROPN
cana-2863	132	4	r	r	NOUN
cana-2863	132	5	2	2	NUM
cana-2863	132	6	0	0	NUM
cana-2863	132	7	2221	2221	NUM
cana-2863	132	8	0	0	NUM
cana-2863	132	9	111	111	NUM
cana-2863	132	10	0	0	NUM
cana-2863	132	11	22	22	NUM
cana-2863	132	12	21	21	NUM
cana-2863	132	13	(	(	PUNCT
cana-2863	132	14	40	40	NUM
cana-2863	132	15	)	)	PUNCT
cana-2863	132	16			PUNCT
cana-2863	133	1			VERB
cana-2863	133	2	=	=	X
cana-2863	133	3	0	0	NUM
cana-2863	133	4	1112	1112	NUM
cana-2863	133	5	d)(),(r),0(r	d)(),(r),0(r	NOUN
cana-2863	133	6	(	(	PUNCT
cana-2863	133	7	41	41	NUM
cana-2863	133	8	)	)	PUNCT
cana-2863	133	9	communications	communication	NOUN
cana-2863	133	10	on	on	ADP
cana-2863	133	11	applied	apply	VERB
cana-2863	133	12	nonlinear	nonlinear	ADJ
cana-2863	133	13	analysis	analysis	NOUN
cana-2863	133	14	issn	issn	NOUN
cana-2863	133	15	:	:	PUNCT
cana-2863	133	16	1074	1074	NUM
cana-2863	133	17	-	-	PUNCT
cana-2863	133	18	133x	133x	NUM
cana-2863	133	19	vol	vol	NOUN
cana-2863	133	20	32	32	NUM
cana-2863	133	21	no	no	NOUN
cana-2863	133	22	.	.	PUNCT
cana-2863	134	1	4s	4s	NUM
cana-2863	134	2	(	(	PUNCT
cana-2863	134	3	2025	2025	NUM
cana-2863	134	4	)	)	PUNCT
cana-2863	134	5	448	448	NUM
cana-2863	134	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	135	1			PUNCT
cana-2863	135	2			VERB
cana-2863	135	3	=	=	X
cana-2863	135	4	0	0	NUM
cana-2863	135	5	2223	2223	NUM
cana-2863	135	6	d)(),(r),0(r	d)(),(r),0(r	NOUN
cana-2863	135	7	(	(	PUNCT
cana-2863	135	8	42	42	NUM
cana-2863	135	9	)	)	PUNCT
cana-2863	135	10	3,2,1i),,(r),0,(f	3,2,1i),,(r),0,(f	NUM
cana-2863	135	11	iii	iii	X
cana-2863	136	1	=	=	SYM
cana-2863	136	2	=	=	PROPN
cana-2863	136	3	(	(	PUNCT
cana-2863	136	4	43	43	NUM
cana-2863	136	5	)	)	PUNCT
cana-2863	136	6	=	=	NOUN
cana-2863	136	7			PUNCT
cana-2863	136	8			VERB
cana-2863	136	9	d)(),(r),0(v	d)(),(r),0(v	ADJ
cana-2863	136	10	3	3	NUM
cana-2863	136	11	0	0	SYM
cana-2863	136	12	3	3	NUM
cana-2863	136	13	(	(	PUNCT
cana-2863	136	14	44	44	NUM
cana-2863	136	15	)	)	PUNCT
cana-2863	136	16	substituting	substitute	VERB
cana-2863	136	17	equation	equation	NOUN
cana-2863	136	18	(	(	PUNCT
cana-2863	136	19	37	37	NUM
cana-2863	136	20	)	)	PUNCT
cana-2863	136	21	in	in	ADP
cana-2863	136	22	(	(	PUNCT
cana-2863	136	23	36	36	NUM
cana-2863	136	24	)	)	PUNCT
cana-2863	136	25	and	and	CCONJ
cana-2863	136	26	solving	solving	NOUN
cana-2863	136	27	,	,	PUNCT
cana-2863	136	28	we	we	PRON
cana-2863	136	29	get	get	VERB
cana-2863	136	30	3,2,1i)),(qq(f),0,(f),(r)(q)(q	3,2,1i)),(qq(f),0,(f),(r)(q)(q	NUM
cana-2863	136	31	(	(	PUNCT
cana-2863	136	32	d	d	PROPN
cana-2863	136	33	d	d	PROPN
cana-2863	136	34	0	0	PUNCT
cana-2863	136	35	*	*	PUNCT
cana-2863	136	36	iiiii	iiiii	NOUN
cana-2863	136	37	=	=	NOUN
cana-2863	136	38	−=	−=	NOUN
cana-2863	136	39			NOUN
cana-2863	136	40			PRON
cana-2863	136	41			PROPN
cana-2863	136	42			PROPN
cana-2863	136	43			NOUN
cana-2863	136	44	−+++	−+++	NOUN
cana-2863	136	45			NOUN
cana-2863	136	46			ADP
cana-2863	136	47			PROPN
cana-2863	136	48	(	(	PUNCT
cana-2863	136	49	45	45	NUM
cana-2863	136	50	)	)	PUNCT
cana-2863	136	51	substituting	substitute	VERB
cana-2863	136	52	equation	equation	NOUN
cana-2863	136	53	(	(	PUNCT
cana-2863	136	54	43	43	NUM
cana-2863	136	55	)	)	PUNCT
cana-2863	136	56	in	in	ADP
cana-2863	136	57	(	(	PUNCT
cana-2863	136	58	37	37	NUM
cana-2863	136	59	)	)	PUNCT
cana-2863	136	60	and	and	CCONJ
cana-2863	136	61	solving	solving	NOUN
cana-2863	136	62	,	,	PUNCT
cana-2863	136	63	we	we	PRON
cana-2863	136	64	obtain	obtain	VERB
cana-2863	136	65	3,2,1i)),(f1(e),(r),,(f	3,2,1i)),(f1(e),(r),,(f	NUM
cana-2863	136	66	i	i	NOUN
cana-2863	136	67	)	)	PUNCT
cana-2863	136	68	)	)	PUNCT
cana-2863	137	1	(	(	PUNCT
cana-2863	137	2	1(q	1(q	NUM
cana-2863	137	3	iii	iii	X
cana-2863	137	4	=	=	PRON
cana-2863	137	5	−=	−=	X
cana-2863	137	6	−−	−−	NOUN
cana-2863	137	7	(	(	PUNCT
cana-2863	137	8	46	46	NUM
cana-2863	137	9	)	)	PUNCT
cana-2863	137	10	substituting	substitute	VERB
cana-2863	137	11	equation	equation	NOUN
cana-2863	137	12	(	(	PUNCT
cana-2863	137	13	43	43	NUM
cana-2863	137	14	)	)	PUNCT
cana-2863	137	15	in	in	ADP
cana-2863	137	16	(	(	PUNCT
cana-2863	137	17	45	45	NUM
cana-2863	137	18	)	)	PUNCT
cana-2863	137	19	and	and	CCONJ
cana-2863	137	20	solving	solving	NOUN
cana-2863	137	21	,	,	PUNCT
cana-2863	137	22	we	we	PRON
cana-2863	137	23	get	get	VERB
cana-2863	137	24	3,2,1i)),x(j1(e),0(r),(r	3,2,1i)),x(j1(e),0(r),(r	PROPN
cana-2863	137	25	i	i	NOUN
cana-2863	137	26	)	)	PUNCT
cana-2863	137	27	)	)	PUNCT
cana-2863	138	1	(	(	PUNCT
cana-2863	138	2	qq(gi	qq(gi	PROPN
cana-2863	138	3	ii	ii	NOUN
cana-2863	139	1	=	=	SYM
cana-2863	139	2	−=	−=	PROPN
cana-2863	139	3	−−	−−	NOUN
cana-2863	139	4	(	(	PUNCT
cana-2863	139	5	47	47	NUM
cana-2863	139	6	)	)	PUNCT
cana-2863	139	7	where	where	SCONJ
cana-2863	139	8	,	,	PUNCT
cana-2863	139	9	3,2,1i)),(qq(f)(qq)(g	3,2,1i)),(qq(f)(qq)(g	PROPN
cana-2863	139	10	*	*	PUNCT
cana-2863	139	11	iiii	iiii	X
cana-2863	139	12	=	=	PUNCT
cana-2863	139	13	−−+−=	−−+−=	NOUN
cana-2863	139	14	substituting	substitute	VERB
cana-2863	139	15	equation	equation	NOUN
cana-2863	139	16	(	(	PUNCT
cana-2863	139	17	47	47	NUM
cana-2863	139	18	)	)	PUNCT
cana-2863	139	19	in	in	ADP
cana-2863	139	20	(	(	PUNCT
cana-2863	139	21	43	43	NUM
cana-2863	139	22	)	)	PUNCT
cana-2863	139	23	and	and	CCONJ
cana-2863	139	24	solving	solving	NOUN
cana-2863	139	25	,	,	PUNCT
cana-2863	139	26	we	we	PRON
cana-2863	139	27	get	get	VERB
cana-2863	139	28	3,2,1i)),x(j1(e),0(r),0,(f	3,2,1i)),x(j1(e),0(r),0,(f	NUM
cana-2863	139	29	i	i	NOUN
cana-2863	139	30	)	)	PUNCT
cana-2863	139	31	)	)	PUNCT
cana-2863	140	1	(	(	PUNCT
cana-2863	140	2	qq(gi	qq(gi	NOUN
cana-2863	140	3	iii	iii	NUM
cana-2863	140	4	=	=	NOUN
cana-2863	140	5	−=	−=	PROPN
cana-2863	140	6	−−	−−	PROPN
cana-2863	140	7	(	(	PUNCT
cana-2863	140	8	48	48	NUM
cana-2863	140	9	)	)	PUNCT
cana-2863	140	10	substituting	substitute	VERB
cana-2863	140	11	equation	equation	NOUN
cana-2863	140	12	(	(	PUNCT
cana-2863	140	13	47	47	NUM
cana-2863	140	14	)	)	PUNCT
cana-2863	140	15	in	in	ADP
cana-2863	140	16	(	(	PUNCT
cana-2863	140	17	44	44	NUM
cana-2863	140	18	)	)	PUNCT
cana-2863	140	19	and	and	CCONJ
cana-2863	140	20	solving	solving	NOUN
cana-2863	140	21	,	,	PUNCT
cana-2863	140	22	we	we	PRON
cana-2863	140	23	get	get	VERB
cana-2863	140	24	)	)	PUNCT
cana-2863	140	25	)	)	PUNCT
cana-2863	140	26	)	)	PUNCT
cana-2863	141	1	(	(	PUNCT
cana-2863	141	2	qq(g(j),0(r),0(v	qq(g(j),0(r),0(v	X
cana-2863	141	3	3	3	NUM
cana-2863	141	4	*	*	SYM
cana-2863	141	5	33	33	NUM
cana-2863	141	6	−=	−=	NOUN
cana-2863	141	7	(	(	PUNCT
cana-2863	141	8	49	49	NUM
cana-2863	141	9	)	)	PUNCT
cana-2863	141	10	substituting	substitute	VERB
cana-2863	141	11	equation	equation	NOUN
cana-2863	141	12	(	(	PUNCT
cana-2863	141	13	47	47	NUM
cana-2863	141	14	)	)	PUNCT
cana-2863	141	15	in	in	ADP
cana-2863	141	16	(	(	PUNCT
cana-2863	141	17	41	41	NUM
cana-2863	141	18	)	)	PUNCT
cana-2863	141	19	and	and	CCONJ
cana-2863	141	20	(	(	PUNCT
cana-2863	141	21	42	42	NUM
cana-2863	141	22	)	)	PUNCT
cana-2863	141	23	and	and	CCONJ
cana-2863	141	24	solving	solve	VERB
cana-2863	141	25	,	,	PUNCT
cana-2863	141	26	we	we	PRON
cana-2863	141	27	get	get	VERB
cana-2863	141	28	)	)	PUNCT
cana-2863	141	29	)	)	PUNCT
cana-2863	141	30	)	)	PUNCT
cana-2863	142	1	(	(	PUNCT
cana-2863	142	2	qq(g(j),0(r),0(r	qq(g(j),0(r),0(r	NOUN
cana-2863	142	3	1	1	NUM
cana-2863	142	4	*	*	SYM
cana-2863	142	5	1112	1112	NUM
cana-2863	142	6	−=	−=	X
cana-2863	142	7	(	(	PUNCT
cana-2863	142	8	50	50	NUM
cana-2863	142	9	)	)	PUNCT
cana-2863	142	10	)	)	PUNCT
cana-2863	142	11	)	)	PUNCT
cana-2863	142	12	)	)	PUNCT
cana-2863	142	13	(	(	PUNCT
cana-2863	142	14	qq(g(j),0(r),0(r	qq(g(j),0(r),0(r	NOUN
cana-2863	142	15	2	2	NUM
cana-2863	142	16	*	*	SYM
cana-2863	142	17	2223	2223	NUM
cana-2863	142	18	−=	−=	X
cana-2863	142	19	(	(	PUNCT
cana-2863	142	20	51	51	NUM
cana-2863	142	21	)	)	PUNCT
cana-2863	142	22	substituting	substitute	VERB
cana-2863	142	23	equation	equation	NOUN
cana-2863	142	24	(	(	PUNCT
cana-2863	142	25	38	38	NUM
cana-2863	142	26	)	)	PUNCT
cana-2863	142	27	and	and	CCONJ
cana-2863	142	28	(	(	PUNCT
cana-2863	142	29	47	47	NUM
cana-2863	142	30	)	)	PUNCT
cana-2863	142	31	in	in	ADP
cana-2863	142	32	(	(	PUNCT
cana-2863	142	33	39	39	NUM
cana-2863	142	34	)	)	PUNCT
cana-2863	142	35	and	and	CCONJ
cana-2863	142	36	solving	solving	NOUN
cana-2863	142	37	,	,	PUNCT
cana-2863	142	38	we	we	PRON
cana-2863	142	39	get	get	VERB
cana-2863	142	40	)	)	PUNCT
cana-2863	142	41	)	)	PUNCT
cana-2863	142	42	)	)	PUNCT
cana-2863	143	1	(	(	PUNCT
cana-2863	143	2	qq(g(j)))(qq(g(jrr)))[(qq(g(j),0(r),0(e	qq(g(j)))(qq(g(jrr)))[(qq(g(j),0(r),0(e	PROPN
cana-2863	143	3	2	2	NUM
cana-2863	143	4	*	*	SYM
cana-2863	143	5	23212	23212	NUM
cana-2863	143	6	*	*	SYM
cana-2863	143	7	2121101	2121101	NUM
cana-2863	143	8	*	*	PUNCT
cana-2863	143	9	11	11	NUM
cana-2863	143	10	−+−+−=	−+−+−=	PROPN
cana-2863	143	11	++−−+−	++−−+−	NUM
cana-2863	143	12	111113	111113	NUM
cana-2863	143	13	*	*	SYM
cana-2863	143	14	32	32	NUM
cana-2863	143	15	*	*	SYM
cana-2863	143	16	23213	23213	NUM
cana-2863	143	17	*	*	SYM
cana-2863	143	18	3	3	NUM
cana-2863	143	19	)	)	PUNCT
cana-2863	143	20	)	)	PUNCT
cana-2863	143	21	)	)	PUNCT
cana-2863	144	1	(	(	PUNCT
cana-2863	144	2	qq(g(j)))(qq(g(j)))(qq(g(j	qq(g(j)))(qq(g(j)))(qq(g(j	ADJ
cana-2863	144	3	0	0	NUM
cana-2863	144	4	*	*	SYM
cana-2863	144	5	3	3	NUM
cana-2863	144	6	*	*	SYM
cana-2863	144	7	32	32	NUM
cana-2863	144	8	*	*	SYM
cana-2863	144	9	2212	2212	NUM
cana-2863	144	10	*	*	SYM
cana-2863	144	11	2	2	NUM
cana-2863	144	12	e))(qq(v)))(qq(g(j)))(qq(g(j)))(qq(g(j	e))(qq(v)))(qq(g(j)))(qq(g(j)))(qq(g(j	PROPN
cana-2863	144	13	−−−−+−	−−−−+−	PROPN
cana-2863	144	14	(	(	PUNCT
cana-2863	144	15	52	52	NUM
cana-2863	144	16	)	)	PUNCT
cana-2863	144	17	using	use	VERB
cana-2863	144	18	equation	equation	NOUN
cana-2863	144	19	(	(	PUNCT
cana-2863	144	20	35	35	NUM
cana-2863	144	21	)	)	PUNCT
cana-2863	144	22	and	and	CCONJ
cana-2863	144	23	(	(	PUNCT
cana-2863	144	24	47	47	NUM
cana-2863	144	25	)	)	PUNCT
cana-2863	144	26	in	in	ADP
cana-2863	144	27	equation	equation	NOUN
cana-2863	144	28	(	(	PUNCT
cana-2863	144	29	40	40	NUM
cana-2863	144	30	)	)	PUNCT
cana-2863	144	31	and	and	CCONJ
cana-2863	144	32	after	after	ADP
cana-2863	144	33	some	some	DET
cana-2863	144	34	algebraic	algebraic	ADJ
cana-2863	144	35	manipulations	manipulation	NOUN
cana-2863	144	36	we	we	PRON
cana-2863	144	37	get	get	VERB
cana-2863	144	38	)	)	PUNCT
cana-2863	144	39	(	(	PUNCT
cana-2863	144	40	u/)](m)([e),0(r	u/)](m)([e),0(r	PROPN
cana-2863	144	41	101	101	NUM
cana-2863	144	42	−=	−=	PROPN
cana-2863	144	43	(	(	PUNCT
cana-2863	144	44	53	53	NUM
cana-2863	144	45	)	)	PUNCT
cana-2863	144	46	substituting	substitute	VERB
cana-2863	144	47	equation	equation	NOUN
cana-2863	144	48	(	(	PUNCT
cana-2863	144	49	53	53	NUM
cana-2863	144	50	)	)	PUNCT
cana-2863	144	51	in	in	ADP
cana-2863	144	52	equations	equation	NOUN
cana-2863	144	53	(	(	PUNCT
cana-2863	144	54	50	50	NUM
cana-2863	144	55	)	)	PUNCT
cana-2863	144	56	and	and	CCONJ
cana-2863	144	57	(	(	PUNCT
cana-2863	144	58	52	52	NUM
cana-2863	144	59	)	)	PUNCT
cana-2863	144	60	and	and	CCONJ
cana-2863	144	61	using	use	VERB
cana-2863	144	62	the	the	DET
cana-2863	144	63	resulting	result	VERB
cana-2863	144	64	equation	equation	NOUN
cana-2863	144	65	in	in	ADP
cana-2863	144	66	(	(	PUNCT
cana-2863	144	67	51	51	NUM
cana-2863	144	68	)	)	PUNCT
cana-2863	144	69	,	,	PUNCT
cana-2863	144	70	we	we	PRON
cana-2863	144	71	get	get	VERB
cana-2863	144	72	communications	communication	NOUN
cana-2863	144	73	on	on	ADP
cana-2863	144	74	applied	apply	VERB
cana-2863	144	75	nonlinear	nonlinear	ADJ
cana-2863	144	76	analysis	analysis	NOUN
cana-2863	144	77	issn	issn	NOUN
cana-2863	144	78	:	:	PUNCT
cana-2863	144	79	1074	1074	NUM
cana-2863	144	80	-	-	PUNCT
cana-2863	144	81	133x	133x	NUM
cana-2863	144	82	vol	vol	NOUN
cana-2863	144	83	32	32	NUM
cana-2863	144	84	no	no	NOUN
cana-2863	144	85	.	.	PUNCT
cana-2863	145	1	4s	4s	NUM
cana-2863	145	2	(	(	PUNCT
cana-2863	145	3	2025	2025	NUM
cana-2863	145	4	)	)	PUNCT
cana-2863	145	5	449	449	NUM
cana-2863	145	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	145	7	)	)	PUNCT
cana-2863	145	8	(	(	PUNCT
cana-2863	145	9	u/])(m)()(m[e),0(e	u/])(m)()(m[e),0(e	PROPN
cana-2863	145	10	2	2	NUM
cana-2863	145	11	230	230	NUM
cana-2863	145	12	−+=	−+=	PROPN
cana-2863	145	13	(	(	PUNCT
cana-2863	145	14	54	54	NUM
cana-2863	145	15	)	)	PUNCT
cana-2863	145	16	)	)	PUNCT
cana-2863	145	17	)	)	PUNCT
cana-2863	145	18	)	)	PUNCT
cana-2863	146	1	(	(	PUNCT
cana-2863	146	2	qq(g(j),0(r),0(r	qq(g(j),0(r),0(r	NOUN
cana-2863	146	3	1	1	NUM
cana-2863	146	4	*	*	SYM
cana-2863	146	5	1112	1112	NUM
cana-2863	146	6	−=	−=	X
cana-2863	146	7	(	(	PUNCT
cana-2863	146	8	55	55	NUM
cana-2863	146	9	)	)	PUNCT
cana-2863	146	10	)	)	PUNCT
cana-2863	146	11	)	)	PUNCT
cana-2863	146	12	)	)	PUNCT
cana-2863	147	1	(	(	PUNCT
cana-2863	147	2	qq(g(j)))(qq(g(j),0(r),0(r	qq(g(j)))(qq(g(j),0(r),0(r	ADJ
cana-2863	147	3	2	2	NUM
cana-2863	147	4	*	*	SYM
cana-2863	147	5	21	21	NUM
cana-2863	147	6	*	*	SYM
cana-2863	147	7	11213	11213	NUM
cana-2863	147	8	−−=	−−=	NOUN
cana-2863	147	9	(	(	PUNCT
cana-2863	147	10	56	56	NUM
cana-2863	147	11	)	)	PUNCT
cana-2863	147	12	using	use	VERB
cana-2863	147	13	(	(	PUNCT
cana-2863	147	14	53	53	NUM
cana-2863	147	15	)	)	PUNCT
cana-2863	147	16	,	,	PUNCT
cana-2863	147	17	(	(	PUNCT
cana-2863	147	18	55	55	NUM
cana-2863	147	19	)	)	PUNCT
cana-2863	147	20	and	and	CCONJ
cana-2863	147	21	(	(	PUNCT
cana-2863	147	22	56	56	NUM
cana-2863	147	23	)	)	PUNCT
cana-2863	147	24	in	in	ADP
cana-2863	147	25	(	(	PUNCT
cana-2863	147	26	48	48	NUM
cana-2863	147	27	)	)	PUNCT
cana-2863	147	28	and	and	CCONJ
cana-2863	147	29	solving	solving	NOUN
cana-2863	147	30	,	,	PUNCT
cana-2863	147	31	we	we	PRON
cana-2863	147	32	get	get	VERB
cana-2863	147	33	)	)	PUNCT
cana-2863	147	34	)	)	PUNCT
cana-2863	148	1	(	(	PUNCT
cana-2863	148	2	j1(e),0(r),,0(f	j1(e),0(r),,0(f	NOUN
cana-2863	148	3	1	1	NUM
cana-2863	148	4	)	)	PUNCT
cana-2863	148	5	)	)	PUNCT
cana-2863	148	6	(	(	PUNCT
cana-2863	148	7	qq(g	qq(g	NUM
cana-2863	148	8	111	111	NUM
cana-2863	148	9	1	1	NUM
cana-2863	148	10	−=	−=	PUNCT
cana-2863	148	11	−−	−−	NOUN
cana-2863	148	12	(	(	PUNCT
cana-2863	148	13	57	57	NUM
cana-2863	148	14	)	)	PUNCT
cana-2863	148	15	)	)	PUNCT
cana-2863	148	16	)	)	PUNCT
cana-2863	148	17	(	(	PUNCT
cana-2863	148	18	j1(e),0(r),,0(f	j1(e),0(r),,0(f	NOUN
cana-2863	148	19	2	2	NUM
cana-2863	148	20	)	)	PUNCT
cana-2863	148	21	)	)	PUNCT
cana-2863	148	22	(	(	PUNCT
cana-2863	148	23	qq(g	qq(g	NUM
cana-2863	148	24	222	222	NUM
cana-2863	148	25	2	2	NUM
cana-2863	148	26	−=	−=	PUNCT
cana-2863	148	27	−−	−−	NOUN
cana-2863	148	28	(	(	PUNCT
cana-2863	148	29	58	58	NUM
cana-2863	148	30	)	)	PUNCT
cana-2863	148	31	)	)	PUNCT
cana-2863	148	32	)	)	PUNCT
cana-2863	149	1	(	(	PUNCT
cana-2863	149	2	j1(e),0(r),,0(f	j1(e),0(r),,0(f	NOUN
cana-2863	149	3	3	3	NUM
cana-2863	149	4	)	)	PUNCT
cana-2863	149	5	)	)	PUNCT
cana-2863	149	6	(	(	PUNCT
cana-2863	149	7	qq(g	qq(g	NUM
cana-2863	149	8	333	333	NUM
cana-2863	149	9	3	3	NUM
cana-2863	149	10	−=	−=	PUNCT
cana-2863	149	11	−−	−−	NOUN
cana-2863	149	12	(	(	PUNCT
cana-2863	149	13	59	59	NUM
cana-2863	149	14	)	)	PUNCT
cana-2863	149	15	substituting	substitute	VERB
cana-2863	149	16	equation	equation	NOUN
cana-2863	149	17	(	(	PUNCT
cana-2863	149	18	56	56	NUM
cana-2863	149	19	)	)	PUNCT
cana-2863	149	20	in	in	ADP
cana-2863	149	21	equation	equation	NOUN
cana-2863	149	22	(	(	PUNCT
cana-2863	149	23	49	49	NUM
cana-2863	149	24	)	)	PUNCT
cana-2863	149	25	and	and	CCONJ
cana-2863	149	26	solving	solving	NOUN
cana-2863	149	27	,	,	PUNCT
cana-2863	149	28	we	we	PRON
cana-2863	149	29	get	get	VERB
cana-2863	149	30	)	)	PUNCT
cana-2863	149	31	)	)	PUNCT
cana-2863	149	32	)	)	PUNCT
cana-2863	150	1	(	(	PUNCT
cana-2863	150	2	qq(g(j)))(qq(g(j)))(qq(g(j),0(r),0(v	qq(g(j)))(qq(g(j)))(qq(g(j),0(r),0(v	PROPN
cana-2863	150	3	3	3	NUM
cana-2863	150	4	*	*	SYM
cana-2863	150	5	32	32	NUM
cana-2863	150	6	*	*	SYM
cana-2863	150	7	21	21	NUM
cana-2863	150	8	*	*	SYM
cana-2863	150	9	1121	1121	NUM
cana-2863	150	10	−−−=	−−−=	NOUN
cana-2863	150	11	(	(	PUNCT
cana-2863	150	12	60	60	NUM
cana-2863	150	13	)	)	PUNCT
cana-2863	150	14	substituting	substitute	VERB
cana-2863	150	15	expressions	expression	NOUN
cana-2863	150	16	of	of	ADP
cana-2863	150	17	equations	equation	NOUN
cana-2863	150	18	)	)	PUNCT
cana-2863	150	19	,	,	PUNCT
cana-2863	150	20	0(v,),0(f,),0(f,),0(f,),0(r,),0(r,),0(r),,0(e	0(v,),0(f,),0(f,),0(f,),0(r,),0(r,),0(r),,0(e	NUM
cana-2863	150	21	321321	321321	NUM
cana-2863	150	22			ADP
cana-2863	150	23	from	from	ADP
cana-2863	150	24	(	(	PUNCT
cana-2863	150	25	53	53	NUM
cana-2863	150	26	)	)	PUNCT
cana-2863	150	27	to	to	ADP
cana-2863	150	28	(	(	PUNCT
cana-2863	150	29	60	60	NUM
cana-2863	150	30	)	)	PUNCT
cana-2863	150	31	in	in	ADP
cana-2863	150	32	equations	equation	NOUN
cana-2863	150	33	(	(	PUNCT
cana-2863	150	34	35	35	NUM
cana-2863	150	35	)	)	PUNCT
cana-2863	150	36	,	,	PUNCT
cana-2863	150	37	(	(	PUNCT
cana-2863	150	38	38	38	NUM
cana-2863	150	39	)	)	PUNCT
cana-2863	150	40	,	,	PUNCT
cana-2863	150	41	(	(	PUNCT
cana-2863	150	42	46	46	NUM
cana-2863	150	43	)	)	PUNCT
cana-2863	150	44	and	and	CCONJ
cana-2863	150	45	(	(	PUNCT
cana-2863	150	46	47	47	NUM
cana-2863	150	47	)	)	PUNCT
cana-2863	150	48	we	we	PRON
cana-2863	150	49	get	get	VERB
cana-2863	150	50	the	the	DET
cana-2863	150	51	required	require	VERB
cana-2863	150	52	results	result	NOUN
cana-2863	150	53	of	of	ADP
cana-2863	150	54	equations	equation	NOUN
cana-2863	150	55	(	(	PUNCT
cana-2863	150	56	26	26	NUM
cana-2863	150	57	)	)	PUNCT
cana-2863	150	58	to	to	ADP
cana-2863	150	59	(	(	PUNCT
cana-2863	150	60	33	33	NUM
cana-2863	150	61	)	)	PUNCT
cana-2863	150	62	.	.	PUNCT
cana-2863	151	1	using	use	VERB
cana-2863	151	2	the	the	DET
cana-2863	151	3	normalizing	normalizing	ADJ
cana-2863	151	4	equation	equation	NOUN
cana-2863	151	5	and	and	CCONJ
cana-2863	151	6	applying	apply	VERB
cana-2863	151	7	l’hospital	l’hospital	ADJ
cana-2863	151	8	rule	rule	NOUN
cana-2863	151	9	,	,	PUNCT
cana-2863	151	10	0e	0e	NOUN
cana-2863	151	11	is	be	AUX
cana-2863	151	12	obtained	obtain	VERB
cana-2863	151	13	as	as	ADP
cana-2863	151	14	in	in	ADP
cana-2863	151	15	equation	equation	NOUN
cana-2863	151	16	(	(	PUNCT
cana-2863	151	17	34	34	NUM
cana-2863	151	18	)	)	PUNCT
cana-2863	151	19	.	.	PUNCT
cana-2863	152	1	2.2	2.2	NUM
cana-2863	152	2	performance	performance	NOUN
cana-2863	152	3	measures	measure	VERB
cana-2863	152	4	the	the	DET
cana-2863	152	5	probabilities	probability	NOUN
cana-2863	152	6	that	that	PRON
cana-2863	152	7	the	the	DET
cana-2863	152	8	server	server	NOUN
cana-2863	152	9	is	be	AUX
cana-2863	152	10	idle	idle	ADJ
cana-2863	152	11	,	,	PUNCT
cana-2863	152	12	busy	busy	ADJ
cana-2863	152	13	in	in	ADP
cana-2863	152	14	all	all	DET
cana-2863	152	15	the	the	DET
cana-2863	152	16	three	three	NUM
cana-2863	152	17	phases	phase	NOUN
cana-2863	152	18	,	,	PUNCT
cana-2863	152	19	under	under	ADP
cana-2863	152	20	repair	repair	NOUN
cana-2863	152	21	in	in	ADP
cana-2863	152	22	all	all	DET
cana-2863	152	23	the	the	DET
cana-2863	152	24	three	three	NUM
cana-2863	152	25	phases	phase	NOUN
cana-2863	152	26	of	of	ADP
cana-2863	152	27	service	service	NOUN
cana-2863	152	28	and	and	CCONJ
cana-2863	152	29	on	on	ADP
cana-2863	152	30	vacation	vacation	NOUN
cana-2863	152	31	are	be	AUX
cana-2863	152	32	derived	derive	VERB
cana-2863	152	33	and	and	CCONJ
cana-2863	152	34	given	give	VERB
cana-2863	152	35	respectively	respectively	ADV
cana-2863	152	36	as	as	ADP
cana-2863	152	37	121312111	121312111	NUM
cana-2863	152	38	*	*	SYM
cana-2863	152	39	0	0	NUM
cana-2863	152	40	u/]1ncqtc))[(k1(ee	u/]1ncqtc))[(k1(ee	NOUN
cana-2863	152	41	−++++−=	−++++−=	PROPN
cana-2863	152	42	(	(	PUNCT
cana-2863	152	43	61	61	NUM
cana-2863	152	44	)	)	SYM
cana-2863	152	45	111	111	NUM
cana-2863	152	46	*	*	SYM
cana-2863	152	47	1	1	NUM
cana-2863	152	48	*	*	SYM
cana-2863	152	49	01	01	NUM
cana-2863	153	1	u/)](kcp))(k1[(er	u/)](kcp))(k1[(er	INTJ
cana-2863	153	2	+−=	+−=	X
cana-2863	153	3	(	(	PUNCT
cana-2863	153	4	62	62	NUM
cana-2863	153	5	)	)	PUNCT
cana-2863	153	6	121	121	NUM
cana-2863	153	7	*	*	SYM
cana-2863	153	8	1	1	NUM
cana-2863	153	9	*	*	SYM
cana-2863	153	10	012	012	NUM
cana-2863	153	11	u/)](kcp))(k1[(er	u/)](kcp))(k1[(er	PROPN
cana-2863	153	12	+−=	+−=	PROPN
cana-2863	153	13	(	(	PUNCT
cana-2863	153	14	63	63	NUM
cana-2863	153	15	)	)	PUNCT
cana-2863	153	16	131	131	NUM
cana-2863	153	17	*	*	SYM
cana-2863	153	18	1	1	NUM
cana-2863	153	19	*	*	SYM
cana-2863	153	20	0213	0213	NUM
cana-2863	153	21	u/)](kcp))(k1[(er	u/)](kcp))(k1[(er	NOUN
cana-2863	153	22	+−=	+−=	NOUN
cana-2863	153	23	(	(	PUNCT
cana-2863	153	24	64	64	NUM
cana-2863	153	25	)	)	PUNCT
cana-2863	153	26	11111	11111	NUM
cana-2863	153	27	*	*	SYM
cana-2863	153	28	1	1	NUM
cana-2863	153	29	*	*	SYM
cana-2863	153	30	011	011	NUM
cana-2863	153	31	u/)](kcp))(k1[(ef	u/)](kcp))(k1[(ef	INTJ
cana-2863	153	32	+−=	+−=	PROPN
cana-2863	153	33	(	(	PUNCT
cana-2863	153	34	65	65	NUM
cana-2863	153	35	)	)	PUNCT
cana-2863	153	36	12121	12121	NUM
cana-2863	153	37	*	*	SYM
cana-2863	153	38	1	1	NUM
cana-2863	153	39	*	*	SYM
cana-2863	153	40	0122	0122	NUM
cana-2863	153	41	u/)](kcp))(k1[(ef	u/)](kcp))(k1[(ef	X
cana-2863	153	42	+−=	+−=	X
cana-2863	153	43	(	(	PUNCT
cana-2863	153	44	66	66	NUM
cana-2863	153	45	)	)	PUNCT
cana-2863	153	46	13131	13131	NUM
cana-2863	153	47	*	*	SYM
cana-2863	153	48	1	1	NUM
cana-2863	153	49	*	*	SYM
cana-2863	153	50	02133	02133	NUM
cana-2863	153	51	u/)](kcp))(k1[(ef	u/)](kcp))(k1[(ef	X
cana-2863	153	52	+−=	+−=	X
cana-2863	153	53	(	(	PUNCT
cana-2863	153	54	67	67	NUM
cana-2863	153	55	)	)	PUNCT
cana-2863	153	56	11	11	NUM
cana-2863	153	57	*	*	SYM
cana-2863	153	58	1	1	NUM
cana-2863	153	59	*	*	SYM
cana-2863	153	60	021	021	NUM
cana-2863	153	61	u/)](kcp))(k1[(ev	u/)](kcp))(k1[(ev	X
cana-2863	153	62	+−=	+−=	PROPN
cana-2863	153	63	(	(	PUNCT
cana-2863	153	64	68	68	NUM
cana-2863	153	65	)	)	PUNCT
cana-2863	153	66	where	where	SCONJ
cana-2863	153	67	,	,	PUNCT
cana-2863	153	68	21312111	21312111	NUM
cana-2863	153	69	*	*	SYM
cana-2863	153	70	1	1	NUM
cana-2863	153	71	ncq)cp))((k1(t1u	ncq)cp))((k1(t1u	NOUN
cana-2863	153	72	−−−−−−+=	−−−−−−+=	ADP
cana-2863	153	73	212121111	212121111	NUM
cana-2863	153	74	t	t	NOUN
cana-2863	153	75	+−+−=	+−+−=	VERB
cana-2863	153	76	121313132121212111111	121313132121212111111	NUM
cana-2863	153	77	)	)	PUNCT
cana-2863	153	78	1()1()1(n	1()1()1(n	NUM
cana-2863	153	79	++++++=	++++++=	NOUN
cana-2863	153	80	communications	communication	NOUN
cana-2863	153	81	on	on	ADP
cana-2863	153	82	applied	apply	VERB
cana-2863	153	83	nonlinear	nonlinear	ADJ
cana-2863	153	84	analysis	analysis	NOUN
cana-2863	153	85	issn	issn	NOUN
cana-2863	153	86	:	:	PUNCT
cana-2863	153	87	1074	1074	NUM
cana-2863	153	88	-	-	PUNCT
cana-2863	153	89	133x	133x	NUM
cana-2863	153	90	vol	vol	NOUN
cana-2863	153	91	32	32	NUM
cana-2863	154	1	no	no	NOUN
cana-2863	154	2	.	.	PUNCT
cana-2863	155	1	4s	4s	NUM
cana-2863	155	2	(	(	PUNCT
cana-2863	155	3	2025	2025	NUM
cana-2863	155	4	)	)	PUNCT
cana-2863	155	5	450	450	NUM
cana-2863	155	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	155	7	theorem	theorem	VERB
cana-2863	155	8	2.2	2.2	NUM
cana-2863	155	9	the	the	DET
cana-2863	155	10	mean	mean	ADJ
cana-2863	155	11	number	number	NOUN
cana-2863	155	12	of	of	ADP
cana-2863	155	13	customers	customer	NOUN
cana-2863	155	14	in	in	ADP
cana-2863	155	15	the	the	DET
cana-2863	155	16	retrial	retrial	ADJ
cana-2863	155	17	group	group	NOUN
cana-2863	155	18	(	(	PUNCT
cana-2863	155	19	ql	ql	X
cana-2863	155	20	)	)	PUNCT
cana-2863	155	21	and	and	CCONJ
cana-2863	155	22	in	in	ADP
cana-2863	155	23	the	the	DET
cana-2863	155	24	system	system	NOUN
cana-2863	155	25	(	(	PUNCT
cana-2863	155	26	sl	sl	INTJ
cana-2863	155	27	)	)	PUNCT
cana-2863	155	28	is	be	AUX
cana-2863	155	29	given	give	VERB
cana-2863	155	30	by	by	ADP
cana-2863	155	31	)	)	PUNCT
cana-2863	155	32	(	(	PUNCT
cana-2863	155	33	q	q	NOUN
cana-2863	156	1	d	d	X
cana-2863	156	2	d	d	X
cana-2863	156	3	ltl	ltl	PROPN
cana-2863	156	4	1	1	PROPN
cana-2863	156	5	q	q	ADJ
cana-2863	156	6			ADJ
cana-2863	156	7			X
cana-2863	156	8	=	=	SYM
cana-2863	156	9	→	→	NOUN
cana-2863	156	10	2	2	NUM
cana-2863	156	11	3	3	NUM
cana-2863	156	12	4132	4132	NUM
cana-2863	156	13	s2	s2	NOUN
cana-2863	156	14	ssss	ssss	NOUN
cana-2863	156	15	+	+	X
cana-2863	156	16	=	=	SYM
cana-2863	156	17	(	(	PUNCT
cana-2863	156	18	69	69	NUM
cana-2863	156	19	)	)	PUNCT
cana-2863	156	20	321321qs	321321qs	ADJ
cana-2863	156	21	fffrrrll	fffrrrll	NOUN
cana-2863	156	22	+	+	PROPN
cana-2863	156	23	+	+	ADJ
cana-2863	156	24	+	+	ADJ
cana-2863	156	25	+	+	ADJ
cana-2863	156	26	+	+	ADJ
cana-2863	156	27	+	+	NOUN
cana-2863	156	28	=	=	X
cana-2863	156	29	(	(	PUNCT
cana-2863	156	30	70	70	NUM
cana-2863	156	31	)	)	PUNCT
cana-2863	156	32	proof	proof	NOUN
cana-2863	156	33	)	)	PUNCT
cana-2863	156	34	]	]	PUNCT
cana-2863	156	35	}	}	PUNCT
cana-2863	156	36	nt))((k1(p)(kc[)]1c(tncq)[(k{qce2s	nt))((k1(p)(kc[)]1c(tncq)[(k{qce2s	PROPN
cana-2863	156	37	*	*	PUNCT
cana-2863	156	38	*	*	PUNCT
cana-2863	156	39	112131211	112131211	NUM
cana-2863	156	40	*	*	PUNCT
cana-2863	156	41	101	101	NUM
cana-2863	156	42	+−+−−++++=	+−+−−++++=	NUM
cana-2863	156	43	21212111111111	21212111111111	NUM
cana-2863	156	44	*	*	PUNCT
cana-2863	156	45	11112	11112	NUM
cana-2863	156	46	*	*	PUNCT
cana-2863	156	47	02	02	NUM
cana-2863	156	48	(	(	PUNCT
cana-2863	156	49	)	)	PUNCT
cana-2863	156	50	1(cq2)[(kqc))1c(tnqc)(c2c(q)(k{e3s	1(cq2)[(kqc))1c(tnqc)(c2c(q)(k{e3s	NUM
cana-2863	156	51	−+−++−++=	−+−++−++=	NOUN
cana-2863	156	52	)	)	PUNCT
cana-2863	156	53	(	(	PUNCT
cana-2863	156	54	k)()1(cq2	k)()1(cq2	ADV
cana-2863	156	55	)	)	PUNCT
cana-2863	156	56	2121211111222121221212112211	2121211111222121221212112211	NUM
cana-2863	156	57	−+−++−++++	−+−++−++++	NUM
cana-2863	156	58	]	]	SYM
cana-2863	156	59	hc2tc22)1(cq)1(cq)1(2)(k	hc2tc22)1(cq)1(cq)1(2)(k	NOUN
cana-2863	156	60	1212211212121111111212212122	1212211212121111111212212122	NUM
cana-2863	156	61	+	+	ADJ
cana-2863	156	62	+	+	PROPN
cana-2863	156	63	++++−+−+	++++−+−+	ADJ
cana-2863	156	64	3212121221212121111121	3212121221212121111121	NUM
cana-2863	156	65	k)1(k)1(kh)c1(2t)cc2	k)1(k)1(kh)c1(2t)cc2	PROPN
cana-2863	156	66	(	(	PUNCT
cana-2863	156	67	++−++−+−+++++	++−++−+−+++++	NUM
cana-2863	156	68	)	)	PUNCT
cana-2863	156	69	1(2)1(cq)1(cq)1(2)cqcq	1(2)1(cq)1(cq)1(2)cqcq	NUM
cana-2863	156	70	(	(	PUNCT
cana-2863	156	71	21221212111111111122	21221212111111111122	NUM
cana-2863	156	72	2	2	NUM
cana-2863	156	73	1	1	NUM
cana-2863	156	74	22	22	NUM
cana-2863	156	75	21	21	NUM
cana-2863	156	76	−−++−+++	−−++−+++	NOUN
cana-2863	156	77	)	)	PUNCT
cana-2863	156	78	)	)	PUNCT
cana-2863	156	79	1(cq)1(cq()1(cq2)1(cq)1(cq	1(cq)1(cq()1(cq2)1(cq)1(cq	NUM
cana-2863	156	80	21212111111131313121212121111111	21212111111131313121212121111111	NUM
cana-2863	156	81	+++++++	+++++++	NOUN
cana-2863	156	82	21321212121211211213111111	21321212121211211213111111	NUM
cana-2863	156	83	2)1(cq)()1(cq2	2)1(cq)()1(cq2	NUM
cana-2863	156	84	+++++−++−++	+++++−++−++	NOUN
cana-2863	156	85	11111112212121212313131212121	11111112212121212313131212121	NUM
cana-2863	156	86	)	)	PUNCT
cana-2863	156	87	1(cq2)1(cq)1(2))1(cq)1(cq	1(cq2)1(cq)1(2))1(cq)1(cq	NUM
cana-2863	156	88	(	(	PUNCT
cana-2863	156	89	+++−++++	+++−++++	NUM
cana-2863	156	90	)	)	PUNCT
cana-2863	156	91	)	)	PUNCT
cana-2863	156	92	1(cq)1(cq)1(cq(cq2)1(cq	1(cq)1(cq)1(cq(cq2)1(cq	NUM
cana-2863	156	93	(	(	PUNCT
cana-2863	156	94	3131312121211111111121212121	3131312121211111111121212121	NUM
cana-2863	156	95	+++++++	+++++++	PROPN
cana-2863	156	96	21112	21112	NUM
cana-2863	156	97	*	*	PUNCT
cana-2863	156	98	*	*	PUNCT
cana-2863	156	99	121	121	NUM
cana-2863	156	100	*	*	SYM
cana-2863	156	101	211	211	NUM
cana-2863	156	102	kkhqc2tqc))](k1(p)(kc[)nt)](cqc2))((k1()cc2[(qc	kkhqc2tqc))](k1(p)(kc[)nt)](cqc2))((k1()cc2[(qc	ADJ
cana-2863	156	103	++++−+−++−−+−	++++−+−++−−+−	NOUN
cana-2863	156	104	21313131221212111111111121321	21313131221212111111111121321	NUM
cana-2863	156	105	2))1(cq)1(cq()1(cq2cqk	2))1(cq)1(cq()1(cq2cqk	NUM
cana-2863	156	106	−++++−++	−++++−++	NUM
cana-2863	156	107	21212111111111213131312212121	21212111111111213131312212121	NUM
cana-2863	156	108	)	)	PUNCT
cana-2863	156	109	1(cq)1(cq(cq2)1(cq)1(cq	1(cq)1(cq(cq2)1(cq)1(cq	NUM
cana-2863	156	110	(	(	PUNCT
cana-2863	156	111	+++−++	+++−++	NOUN
cana-2863	156	112	)	)	PUNCT
cana-2863	156	113	}	}	PUNCT
cana-2863	156	114	)	)	PUNCT
cana-2863	156	115	1(cq	1(cq	PROPN
cana-2863	156	116	313131	313131	NUM
cana-2863	156	117	++	++	NOUN
cana-2863	156	118	)	)	PUNCT
cana-2863	156	119	qc(u2s	qc(u2s	NOUN
cana-2863	156	120	113	113	NUM
cana-2863	156	121	−=	−=	NOUN
cana-2863	156	122	)	)	PUNCT
cana-2863	156	123	]	]	SYM
cana-2863	156	124	qc(n)qc(u[3s	qc(n)qc(u[3s	PROPN
cana-2863	156	125	14214	14214	NUM
cana-2863	156	126	−+−=	−+−=	PUNCT
cana-2863	156	127	proof	proof	NOUN
cana-2863	156	128	let	let	VERB
cana-2863	156	129	)	)	PUNCT
cana-2863	156	130	(	(	PUNCT
cana-2863	156	131	v)(f)(f)(f)(r)(r)(r)(ee)(q	v)(f)(f)(f)(r)(r)(r)(ee)(q	PROPN
cana-2863	156	132	3213210	3213210	NUM
cana-2863	156	133	++++++++=	++++++++=	ADV
cana-2863	156	134	be	be	AUX
cana-2863	156	135	the	the	DET
cana-2863	156	136	probability	probability	NOUN
cana-2863	156	137	generating	generating	NOUN
cana-2863	156	138	function	function	NOUN
cana-2863	156	139	of	of	ADP
cana-2863	156	140	number	number	NOUN
cana-2863	156	141	of	of	ADP
cana-2863	156	142	customers	customer	NOUN
cana-2863	156	143	in	in	ADP
cana-2863	156	144	the	the	DET
cana-2863	156	145	retrial	retrial	ADJ
cana-2863	156	146	group	group	NOUN
cana-2863	156	147	and	and	CCONJ
cana-2863	156	148	)	)	PUNCT
cana-2863	156	149	(	(	PUNCT
cana-2863	156	150	r)(r)(r[)(ee)(h	r)(r)(r[)(ee)(h	NOUN
cana-2863	156	151	3210	3210	NUM
cana-2863	156	152	++++=	++++=	PROPN
cana-2863	156	153	)	)	PUNCT
cana-2863	156	154	(	(	PUNCT
cana-2863	156	155	v)](f)(f)(f	v)](f)(f)(f	PROPN
cana-2863	156	156	321	321	NUM
cana-2863	156	157	++++	++++	AUX
cana-2863	156	158	be	be	AUX
cana-2863	156	159	the	the	DET
cana-2863	156	160	probability	probability	NOUN
cana-2863	156	161	generating	generating	NOUN
cana-2863	156	162	function	function	NOUN
cana-2863	156	163	of	of	ADP
cana-2863	156	164	number	number	NOUN
cana-2863	156	165	of	of	ADP
cana-2863	156	166	customers	customer	NOUN
cana-2863	156	167	in	in	ADP
cana-2863	156	168	the	the	DET
cana-2863	156	169	system	system	NOUN
cana-2863	156	170	.	.	PUNCT
cana-2863	157	1	communications	communication	NOUN
cana-2863	157	2	on	on	ADP
cana-2863	157	3	applied	apply	VERB
cana-2863	157	4	nonlinear	nonlinear	ADJ
cana-2863	157	5	analysis	analysis	NOUN
cana-2863	157	6	issn	issn	NOUN
cana-2863	157	7	:	:	PUNCT
cana-2863	157	8	1074	1074	NUM
cana-2863	157	9	-	-	PUNCT
cana-2863	157	10	133x	133x	NUM
cana-2863	157	11	vol	vol	NOUN
cana-2863	157	12	32	32	NUM
cana-2863	157	13	no	no	NOUN
cana-2863	157	14	.	.	PUNCT
cana-2863	158	1	4s	4s	NUM
cana-2863	158	2	(	(	PUNCT
cana-2863	158	3	2025	2025	NUM
cana-2863	158	4	)	)	PUNCT
cana-2863	158	5	451	451	NUM
cana-2863	158	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	158	7	)	)	PUNCT
cana-2863	158	8	)	)	PUNCT
cana-2863	158	9	)	)	PUNCT
cana-2863	159	1	(	(	PUNCT
cana-2863	159	2	qq(g(j))))(qq(g(j1())(qq)((m))[(m)({(e)(q	qq(g(j))))(qq(g(j1())(qq)((m))[(m)({(e)(q	PROPN
cana-2863	159	3	1	1	NUM
cana-2863	159	4	*	*	SYM
cana-2863	159	5	111	111	NUM
cana-2863	159	6	*	*	SYM
cana-2863	159	7	1210	1210	NUM
cana-2863	159	8	−+−−+−−=	−+−−+−−=	PROPN
cana-2863	159	9	)	)	PUNCT
cana-2863	159	10	)	)	PUNCT
cana-2863	159	11	)	)	PUNCT
cana-2863	159	12	(	(	PUNCT
cana-2863	159	13	qq(g(j1)))((qq(g(j)))(qq(g(j))))(qq(g(j1	qq(g(j1)))((qq(g(j)))(qq(g(j))))(qq(g(j1	NOUN
cana-2863	159	14	(	(	PUNCT
cana-2863	159	15	3	3	NUM
cana-2863	159	16	*	*	SYM
cana-2863	159	17	32	32	NUM
cana-2863	159	18	*	*	SYM
cana-2863	159	19	21	21	NUM
cana-2863	159	20	*	*	SYM
cana-2863	159	21	1212	1212	NUM
cana-2863	159	22	*	*	SYM
cana-2863	159	23	2	2	NUM
cana-2863	159	24	−−−−+−−	−−−−+−−	NOUN
cana-2863	159	25	)	)	PUNCT
cana-2863	159	26	(	(	PUNCT
cana-2863	159	27	k))](qq(v1)))((qq(g(j)))(qq(g(j)))(qq(g(j	k))](qq(v1)))((qq(g(j)))(qq(g(j)))(qq(g(j	NOUN
cana-2863	159	28	*	*	PUNCT
cana-2863	159	29	*	*	PUNCT
cana-2863	159	30	3	3	NUM
cana-2863	159	31	*	*	SYM
cana-2863	159	32	32	32	NUM
cana-2863	159	33	*	*	SYM
cana-2863	159	34	21	21	NUM
cana-2863	159	35	*	*	SYM
cana-2863	159	36	121	121	NUM
cana-2863	159	37	−−−−−−+	−−−−−−+	NOUN
cana-2863	159	38	)	)	PUNCT
cana-2863	159	39	)	)	PUNCT
cana-2863	159	40	(	(	PUNCT
cana-2863	159	41	qq)((u/]})(m)()(m))[(qq	qq)((u/]})(m)()(m))[(qq	NOUN
cana-2863	159	42	(	(	PUNCT
cana-2863	159	43	23	23	NUM
cana-2863	159	44	−−+−	−−+−	VERB
cana-2863	159	45	(	(	PUNCT
cana-2863	159	46	71	71	NUM
cana-2863	159	47	)	)	PUNCT
cana-2863	159	48	)	)	PUNCT
cana-2863	159	49	)	)	PUNCT
cana-2863	159	50	)	)	PUNCT
cana-2863	159	51	(	(	PUNCT
cana-2863	159	52	qq(g(j))))(qq(g(j1(())(qq)((m))[(m)({(e)(h	qq(g(j))))(qq(g(j1(())(qq)((m))[(m)({(e)(h	NOUN
cana-2863	159	53	1	1	NUM
cana-2863	159	54	*	*	SYM
cana-2863	159	55	111	111	NUM
cana-2863	159	56	*	*	SYM
cana-2863	159	57	1210	1210	NUM
cana-2863	159	58	−+−−+−−=	−+−−+−−=	NOUN
cana-2863	159	59	)	)	PUNCT
cana-2863	159	60	)	)	PUNCT
cana-2863	159	61	)	)	PUNCT
cana-2863	159	62	)	)	PUNCT
cana-2863	160	1	(	(	PUNCT
cana-2863	160	2	qq(g(j1)))((qq(g(j)))(qq(g(j))))(qq(g(j1	qq(g(j1)))((qq(g(j)))(qq(g(j))))(qq(g(j1	NOUN
cana-2863	160	3	(	(	PUNCT
cana-2863	160	4	3	3	NUM
cana-2863	160	5	*	*	SYM
cana-2863	160	6	32	32	NUM
cana-2863	160	7	*	*	SYM
cana-2863	160	8	21	21	NUM
cana-2863	160	9	*	*	SYM
cana-2863	160	10	1212	1212	NUM
cana-2863	160	11	*	*	SYM
cana-2863	160	12	2	2	NUM
cana-2863	160	13	−−−−+−−	−−−−+−−	NOUN
cana-2863	160	14	)	)	PUNCT
cana-2863	160	15	(	(	PUNCT
cana-2863	160	16	k))](qq(v1)))((qq(g(j)))(qq(g(j)))(qq(g(j	k))](qq(v1)))((qq(g(j)))(qq(g(j)))(qq(g(j	NOUN
cana-2863	160	17	*	*	PUNCT
cana-2863	160	18	*	*	PUNCT
cana-2863	160	19	3	3	NUM
cana-2863	160	20	*	*	SYM
cana-2863	160	21	32	32	NUM
cana-2863	160	22	*	*	SYM
cana-2863	160	23	21	21	NUM
cana-2863	160	24	*	*	SYM
cana-2863	160	25	121	121	NUM
cana-2863	160	26	−−−−−−+	−−−−−−+	NOUN
cana-2863	160	27	)	)	PUNCT
cana-2863	160	28	)	)	PUNCT
cana-2863	161	1	(	(	PUNCT
cana-2863	161	2	qq)((u/]})(m)()(m))[(qq	qq)((u/]})(m)()(m))[(qq	NOUN
cana-2863	161	3	(	(	PUNCT
cana-2863	161	4	23	23	NUM
cana-2863	161	5	−−+−	−−+−	VERB
cana-2863	161	6	(	(	PUNCT
cana-2863	161	7	72	72	NUM
cana-2863	161	8	)	)	PUNCT
cana-2863	161	9	by	by	ADP
cana-2863	161	10	differentiating	differentiate	VERB
cana-2863	161	11	the	the	DET
cana-2863	161	12	equations	equation	NOUN
cana-2863	161	13	(	(	PUNCT
cana-2863	161	14	71	71	NUM
cana-2863	161	15	)	)	PUNCT
cana-2863	161	16	and	and	CCONJ
cana-2863	161	17	(	(	PUNCT
cana-2863	161	18	72	72	NUM
cana-2863	161	19	)	)	PUNCT
cana-2863	161	20	with	with	ADP
cana-2863	161	21	respect	respect	NOUN
cana-2863	161	22	to	to	ADP
cana-2863	161	23	z	z	NOUN
cana-2863	161	24	and	and	CCONJ
cana-2863	161	25	letting	let	VERB
cana-2863	161	26	z=1	z=1	PUNCT
cana-2863	161	27	we	we	PRON
cana-2863	161	28	obtain	obtain	VERB
cana-2863	161	29	,	,	PUNCT
cana-2863	161	30	the	the	DET
cana-2863	161	31	mean	mean	ADJ
cana-2863	161	32	number	number	NOUN
cana-2863	161	33	of	of	ADP
cana-2863	161	34	customers	customer	NOUN
cana-2863	161	35	in	in	ADP
cana-2863	161	36	the	the	DET
cana-2863	161	37	retrial	retrial	ADJ
cana-2863	161	38	group	group	NOUN
cana-2863	161	39	(	(	PUNCT
cana-2863	161	40	ql	ql	X
cana-2863	161	41	)	)	PUNCT
cana-2863	161	42	and	and	CCONJ
cana-2863	161	43	mean	mean	ADJ
cana-2863	161	44	number	number	NOUN
cana-2863	161	45	of	of	ADP
cana-2863	161	46	customers	customer	NOUN
cana-2863	161	47	in	in	ADP
cana-2863	161	48	the	the	DET
cana-2863	161	49	system	system	NOUN
cana-2863	161	50	(	(	PUNCT
cana-2863	161	51	sl	sl	INTJ
cana-2863	161	52	)	)	PUNCT
cana-2863	161	53	.	.	PUNCT
cana-2863	162	1	corollary	corollary	ADJ
cana-2863	162	2	2.1	2.1	NUM
cana-2863	162	3	•	•	NOUN
cana-2863	162	4	expected	expect	VERB
cana-2863	162	5	retrial	retrial	ADJ
cana-2863	162	6	group	group	NOUN
cana-2863	162	7	size	size	NOUN
cana-2863	162	8	when	when	SCONJ
cana-2863	162	9	the	the	DET
cana-2863	162	10	server	server	NOUN
cana-2863	162	11	is	be	AUX
cana-2863	162	12	idle	idle	ADJ
cana-2863	162	13	in	in	ADP
cana-2863	162	14	the	the	DET
cana-2863	162	15	non	non	ADJ
cana-2863	162	16	-	-	ADJ
cana-2863	162	17	empty	empty	ADJ
cana-2863	162	18	system	system	NOUN
cana-2863	162	19	is	be	AUX
cana-2863	162	20	derived	derive	VERB
cana-2863	162	21	as	as	ADP
cana-2863	162	22	)	)	PUNCT
cana-2863	162	23	]	]	PUNCT
cana-2863	162	24	(	(	PUNCT
cana-2863	162	25	e	e	X
cana-2863	162	26	[	[	PUNCT
cana-2863	162	27	d	d	X
cana-2863	162	28	d	d	X
cana-2863	162	29	limn	limn	NOUN
cana-2863	162	30	1	1	NUM
cana-2863	162	31	e	e	PROPN
cana-2863	162	32			ADJ
cana-2863	162	33			X
cana-2863	162	34	=	=	SYM
cana-2863	162	35	→	→	NOUN
cana-2863	162	36	2	2	NUM
cana-2863	162	37	3	3	NUM
cana-2863	162	38	4132	4132	NUM
cana-2863	162	39	]	]	PUNCT
cana-2863	162	40	n[2	n[2	NOUN
cana-2863	162	41	nnnn	nnnn	NOUN
cana-2863	162	42	−	−	PROPN
cana-2863	163	1	=	=	PUNCT
cana-2863	163	2	(	(	PUNCT
cana-2863	163	3	73	73	NUM
cana-2863	163	4	)	)	PUNCT
cana-2863	164	1	where	where	SCONJ
cana-2863	164	2	,	,	PUNCT
cana-2863	164	3	]	]	X
cana-2863	164	4	1ncqtc))[(k1(en	1ncqtc))[(k1(en	NUM
cana-2863	164	5	21312111	21312111	NUM
cana-2863	164	6	*	*	SYM
cana-2863	164	7	01	01	NUM
cana-2863	164	8	−++++−=	−++++−=	NOUN
cana-2863	164	9	)	)	PUNCT
cana-2863	165	1	1()1(cq)(ncq(c2)tcc2)){((k1(en	1()1(cq)(ncq(c2)tcc2)){((k1(en	NUM
cana-2863	165	2	212111111212121111121	212111111212121111121	NUM
cana-2863	165	3	*	*	PUNCT
cana-2863	165	4	02	02	NUM
cana-2863	165	5	−−+−+−−++−=	−−+−+−−++−=	NOUN
cana-2863	165	6	)	)	PUNCT
cana-2863	166	1	ncq(2))1(cq	ncq(2))1(cq	PROPN
cana-2863	166	2	121213213112211213121212121	121213213112211213121212121	NUM
cana-2863	166	3	+++++−−++++	+++++−−++++	NUM
cana-2863	166	4	212123131311111121122	212123131311111121122	NUM
cana-2863	166	5	2	2	NUM
cana-2863	166	6	1	1	NUM
cana-2863	166	7	22	22	NUM
cana-2863	166	8	21321211	21321211	NUM
cana-2863	166	9	)	)	PUNCT
cana-2863	166	10	1()1()1((cq2)cqcq(kkk	1()1()1((cq2)cqcq(kkk	NUM
cana-2863	167	1	++++++++++	++++++++++	PROPN
cana-2863	167	2	2121211111121321212111111131313	2121211111121321212111111131313	NUM
cana-2863	167	3	)	)	PUNCT
cana-2863	168	1	1()1((cq2))1()1((cq2))1	1()1((cq2))1()1((cq2))1	NUM
cana-2863	168	2	(	(	PUNCT
cana-2863	168	3	++++++++	++++++++	PROPN
cana-2863	168	4	2121211211111112111111131313	2121211211111112111111131313	NUM
cana-2863	168	5	)	)	PUNCT
cana-2863	168	6	1(cq2)1(cq2)1(cq2))1	1(cq2)1(cq2)1(cq2))1	NOUN
cana-2863	168	7	(	(	PUNCT
cana-2863	168	8	++++++++	++++++++	X
cana-2863	168	9	}	}	PUNCT
cana-2863	168	10	2]))1()1()1[(cq(cq2	2]))1()1()1[(cq(cq2	NUM
cana-2863	168	11	31313212121111111121	31313212121111111121	NUM
cana-2863	168	12	−++++++	−++++++	NOUN
cana-2863	168	13	21312111	21312111	NUM
cana-2863	168	14	*	*	SYM
cana-2863	168	15	3	3	NUM
cana-2863	168	16	ncq)cp))((k1(t1n	ncq)cp))((k1(t1n	NOUN
cana-2863	168	17	−−−−−−+=	−−−−−−+=	NOUN
cana-2863	168	18	)	)	PUNCT
cana-2863	168	19	(	(	PUNCT
cana-2863	168	20	ncq)]{pc))((k1()(k[2t)]pc2c))((k1[(2n	ncq)]{pc))((k1()(k[2t)]pc2c))((k1[(2n	NOUN
cana-2863	168	21	2121211111	2121211111	NUM
cana-2863	168	22	*	*	PUNCT
cana-2863	168	23	*	*	PUNCT
cana-2863	169	1	12	12	NUM
cana-2863	169	2	*	*	SYM
cana-2863	169	3	4	4	NUM
cana-2863	169	4	−+−−+−+++−−=	−+−−+−+++−−=	NOUN
cana-2863	169	5	}	}	PUNCT
cana-2863	169	6	)	)	PUNCT
cana-2863	169	7	1(cq)1()1(cq	1(cq)1()1(cq	NUM
cana-2863	169	8	12211213121212121212111111	12211213121212121212111111	NUM
cana-2863	169	9	−−++++−−+	−−++++−−+	NOUN
cana-2863	169	10	)	)	PUNCT
cana-2863	169	11	)	)	PUNCT
cana-2863	170	1	1()1((cq2)cqcq(kkk	1()1((cq2)cqcq(kkk	PROPN
cana-2863	170	2	212121111111122	212121111111122	NUM
cana-2863	170	3	2	2	NUM
cana-2863	170	4	1	1	NUM
cana-2863	170	5	22	22	NUM
cana-2863	170	6	21321211	21321211	NUM
cana-2863	170	7	++++−−−−	++++−−−−	PROPN
cana-2863	170	8	communications	communication	NOUN
cana-2863	170	9	on	on	ADP
cana-2863	170	10	applied	apply	VERB
cana-2863	170	11	nonlinear	nonlinear	ADJ
cana-2863	170	12	analysis	analysis	NOUN
cana-2863	170	13	issn	issn	NOUN
cana-2863	170	14	:	:	PUNCT
cana-2863	170	15	1074	1074	NUM
cana-2863	170	16	-	-	PUNCT
cana-2863	170	17	133x	133x	NUM
cana-2863	170	18	vol	vol	NOUN
cana-2863	170	19	32	32	NUM
cana-2863	170	20	no	no	NOUN
cana-2863	170	21	.	.	PUNCT
cana-2863	171	1	4s	4s	NUM
cana-2863	171	2	(	(	PUNCT
cana-2863	171	3	2025	2025	NUM
cana-2863	171	4	)	)	PUNCT
cana-2863	171	5	452	452	NUM
cana-2863	171	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	171	7	111111131313212123131311111121	111111131313212123131311111121	NUM
cana-2863	171	8	)	)	PUNCT
cana-2863	171	9	1(cq2))1()1()1()1((cq2	1(cq2))1()1()1()1((cq2	NUM
cana-2863	171	10	+−+++++−	+−+++++−	VERB
cana-2863	171	11	)	)	PUNCT
cana-2863	171	12	)	)	PUNCT
cana-2863	171	13	1()1((cq2))1()1()1((cq2	1()1((cq2))1()1()1((cq2	NUM
cana-2863	171	14	2121211111113131321212111111213	2121211111113131321212111111213	NUM
cana-2863	171	15	+++−+++++−	+++−+++++−	SYM
cana-2863	171	16	111111131313212121111111121	111111131313212121111111121	NUM
cana-2863	171	17	)	)	PUNCT
cana-2863	172	1	1(cq2]))1()1()1[(cq(cq2	1(cq2]))1()1()1[(cq(cq2	NUM
cana-2863	172	2	+−+++++−	+−+++++−	NUM
cana-2863	172	3	122121211111121211111112111	122121211111121211111112111	NUM
cana-2863	172	4	2])1()1[(cq2)1(cq)(2	2])1()1[(cq2)1(cq)(2	NUM
cana-2863	172	5	−+++++++−	−+++++++−	PUNCT
cana-2863	172	6	12211212121	12211212121	NUM
cana-2863	172	7	22)1(cq	22)1(cq	NUM
cana-2863	172	8	−−+	−−+	NOUN
cana-2863	172	9	12	12	NUM
cana-2863	172	10	2	2	NUM
cana-2863	172	11	111111112	111111112	NUM
cana-2863	172	12	2	2	NUM
cana-2863	172	13	1	1	NUM
cana-2863	172	14	22	22	NUM
cana-2863	172	15	112121	112121	NUM
cana-2863	172	16	]	]	PUNCT
cana-2863	172	17	ccq[)]cqcq(qc[k	ccq[)]cqcq(qc[k	PROPN
cana-2863	172	18	++++=	++++=	X
cana-2863	172	19	22	22	NUM
cana-2863	172	20	2	2	NUM
cana-2863	172	21	211212122	211212122	NUM
cana-2863	172	22	2	2	NUM
cana-2863	172	23	1	1	NUM
cana-2863	172	24	22	22	NUM
cana-2863	172	25	212222	212222	NUM
cana-2863	172	26	]	]	PUNCT
cana-2863	172	27	ccq[)]cqcq(qc[k	ccq[)]cqcq(qc[k	ADJ
cana-2863	172	28	++++=	++++=	X
cana-2863	172	29	32	32	NUM
cana-2863	172	30	2	2	NUM
cana-2863	172	31	311313132	311313132	NUM
cana-2863	172	32	2	2	NUM
cana-2863	172	33	1	1	NUM
cana-2863	172	34	22	22	NUM
cana-2863	172	35	312323	312323	NUM
cana-2863	172	36	]	]	X
cana-2863	172	37	ccq[)]cqcq(qc[k	ccq[)]cqcq(qc[k	ADJ
cana-2863	172	38	++++=	++++=	NOUN
cana-2863	172	39	•	•	ADV
cana-2863	172	40	expected	expect	VERB
cana-2863	172	41	retrial	retrial	ADJ
cana-2863	172	42	group	group	NOUN
cana-2863	172	43	size	size	NOUN
cana-2863	172	44	when	when	SCONJ
cana-2863	172	45	the	the	DET
cana-2863	172	46	server	server	NOUN
cana-2863	172	47	is	be	AUX
cana-2863	172	48	busy	busy	ADJ
cana-2863	172	49	in	in	ADP
cana-2863	172	50	first	first	ADJ
cana-2863	172	51	essential	essential	ADJ
cana-2863	172	52	service	service	NOUN
cana-2863	172	53	is	be	AUX
cana-2863	172	54	derived	derive	VERB
cana-2863	172	55	as	as	ADP
cana-2863	172	56	)	)	PUNCT
cana-2863	172	57	]	]	X
cana-2863	172	58	(	(	PUNCT
cana-2863	172	59	r	r	X
cana-2863	172	60	[	[	X
cana-2863	172	61	d	d	X
cana-2863	172	62	d	d	X
cana-2863	172	63	limn	limn	NOUN
cana-2863	172	64	1	1	NUM
cana-2863	172	65	1	1	NUM
cana-2863	172	66	r1	r1	NOUN
cana-2863	172	67			PROPN
cana-2863	172	68			PROPN
cana-2863	172	69	=	=	SYM
cana-2863	172	70	→	→	PROPN
cana-2863	172	71	2	2	NUM
cana-2863	172	72	7	7	NUM
cana-2863	172	73	8576	8576	NUM
cana-2863	172	74	]	]	PUNCT
cana-2863	172	75	n[3	n[3	PROPN
cana-2863	172	76	nnnn	nnnn	NOUN
cana-2863	172	77	−	−	PROPN
cana-2863	173	1	=	=	PUNCT
cana-2863	173	2	(	(	PUNCT
cana-2863	173	3	74	74	NUM
cana-2863	173	4	)	)	PUNCT
cana-2863	174	1	where	where	SCONJ
cana-2863	174	2	,	,	PUNCT
cana-2863	174	3	111111	111111	NUM
cana-2863	174	4	*	*	SYM
cana-2863	174	5	1	1	NUM
cana-2863	174	6	*	*	SYM
cana-2863	174	7	05	05	NUM
cana-2863	174	8	)	)	PUNCT
cana-2863	174	9	1(cq)](kc)1p))((k1[(e2n	1(cq)](kc)1p))((k1[(e2n	NOUN
cana-2863	174	10	+−−−=	+−−−=	NOUN
cana-2863	174	11	}	}	PUNCT
cana-2863	174	12	)	)	PUNCT
cana-2863	174	13	1(cq)]pc2c))((k1()cc2[(k)](kc)1p))((k1{[(e3n	1(cq)]pc2c))((k1()cc2[(k)](kc)1p))((k1{[(e3n	NUM
cana-2863	174	14	11111112	11111112	NUM
cana-2863	174	15	*	*	SYM
cana-2863	174	16	211	211	NUM
cana-2863	174	17	*	*	SYM
cana-2863	174	18	1	1	NUM
cana-2863	174	19	*	*	SYM
cana-2863	174	20	06	06	NUM
cana-2863	174	21	++−−+−−−−=	++−−+−−−−=	NOUN
cana-2863	174	22	]	]	X
cana-2863	174	23	1[cqu2n	1[cqu2n	NUM
cana-2863	174	24	111117	111117	NUM
cana-2863	174	25	+=	+=	NOUN
cana-2863	174	26	)	)	PUNCT
cana-2863	174	27	)	)	PUNCT
cana-2863	175	1	]	]	SYM
cana-2863	175	2	1(c(n))cac(cq(u[3n	1(c(n))cac(cq(u[3n	NUM
cana-2863	175	3	1111412	1111412	NUM
cana-2863	175	4	2	2	NUM
cana-2863	175	5	1	1	NUM
cana-2863	175	6	22	22	NUM
cana-2863	175	7	1121218	1121218	NUM
cana-2863	175	8	+−++−−=	+−++−−=	PUNCT
cana-2863	175	9	•	•	NUM
cana-2863	175	10	expected	expect	VERB
cana-2863	175	11	retrial	retrial	ADJ
cana-2863	175	12	group	group	NOUN
cana-2863	175	13	size	size	NOUN
cana-2863	175	14	when	when	SCONJ
cana-2863	175	15	the	the	DET
cana-2863	175	16	server	server	NOUN
cana-2863	175	17	is	be	AUX
cana-2863	175	18	busy	busy	ADJ
cana-2863	175	19	in	in	ADP
cana-2863	175	20	second	second	ADJ
cana-2863	175	21	optional	optional	ADJ
cana-2863	175	22	service	service	NOUN
cana-2863	175	23	is	be	AUX
cana-2863	175	24	derived	derive	VERB
cana-2863	175	25	as	as	ADP
cana-2863	175	26	)	)	PUNCT
cana-2863	175	27	]	]	X
cana-2863	175	28	(	(	PUNCT
cana-2863	175	29	r	r	X
cana-2863	175	30	[	[	X
cana-2863	175	31	d	d	X
cana-2863	175	32	d	d	X
cana-2863	175	33	limn	limn	NOUN
cana-2863	175	34	2	2	NUM
cana-2863	175	35	1	1	NUM
cana-2863	175	36	r2	r2	NOUN
cana-2863	175	37			PROPN
cana-2863	175	38			X
cana-2863	175	39	=	=	SYM
cana-2863	175	40	→	→	NOUN
cana-2863	175	41	2	2	NUM
cana-2863	175	42	11	11	NUM
cana-2863	175	43	1291110	1291110	NUM
cana-2863	175	44	]	]	PUNCT
cana-2863	175	45	n[3	n[3	PROPN
cana-2863	175	46	nnnn	nnnn	NOUN
cana-2863	175	47	−	−	PROPN
cana-2863	176	1	=	=	PUNCT
cana-2863	176	2	(	(	PUNCT
cana-2863	176	3	75	75	NUM
cana-2863	176	4	)	)	PUNCT
cana-2863	176	5	where	where	SCONJ
cana-2863	176	6	,	,	PUNCT
cana-2863	176	7	212121	212121	NUM
cana-2863	176	8	*	*	SYM
cana-2863	176	9	1	1	NUM
cana-2863	176	10	*	*	SYM
cana-2863	176	11	019	019	NUM
cana-2863	176	12	)	)	PUNCT
cana-2863	176	13	1(cq)](kc)1p))((k1[(e2n	1(cq)](kc)1p))((k1[(e2n	NOUN
cana-2863	176	14	+−−−=	+−−−=	PROPN
cana-2863	176	15	)	)	PUNCT
cana-2863	176	16	)	)	PUNCT
cana-2863	177	1	1(cq)1(cq3k)]((kc)1p))((k1{[(e3n	1(cq)1(cq3k)]((kc)1p))((k1{[(e3n	NUM
cana-2863	177	2	2121211111112	2121211111112	NUM
cana-2863	177	3	*	*	PUNCT
cana-2863	177	4	1	1	NUM
cana-2863	177	5	*	*	SYM
cana-2863	177	6	0110	0110	NUM
cana-2863	177	7	+++−−−=	+++−−−=	SYM
cana-2863	177	8	}	}	PUNCT
cana-2863	177	9	)	)	PUNCT
cana-2863	177	10	1(cq)]pc2c))((k1()cc2	1(cq)]pc2c))((k1()cc2	NUM
cana-2863	178	1	[	[	X
cana-2863	178	2	(	(	PUNCT
cana-2863	178	3	21212112	21212112	NUM
cana-2863	178	4	*	*	NUM
cana-2863	178	5	21	21	NUM
cana-2863	178	6	++−−+−	++−−+−	NOUN
cana-2863	178	7	]	]	PUNCT
cana-2863	178	8	1[cqu2n	1[cqu2n	NUM
cana-2863	178	9	2121111	2121111	NUM
cana-2863	178	10	+=	+=	NOUN
cana-2863	178	11	)	)	PUNCT
cana-2863	178	12	)	)	PUNCT
cana-2863	179	1	]	]	SYM
cana-2863	179	2	1(c(n))cac(cq(u[3n	1(c(n))cac(cq(u[3n	NUM
cana-2863	179	3	2121422	2121422	NUM
cana-2863	179	4	2	2	NUM
cana-2863	179	5	1	1	NUM
cana-2863	179	6	22	22	NUM
cana-2863	179	7	21222112	21222112	NUM
cana-2863	179	8	+−++−−=	+−++−−=	PUNCT
cana-2863	179	9	communications	communication	NOUN
cana-2863	179	10	on	on	ADP
cana-2863	179	11	applied	apply	VERB
cana-2863	179	12	nonlinear	nonlinear	ADJ
cana-2863	179	13	analysis	analysis	NOUN
cana-2863	179	14	issn	issn	NOUN
cana-2863	179	15	:	:	PUNCT
cana-2863	179	16	1074	1074	NUM
cana-2863	179	17	-	-	PUNCT
cana-2863	179	18	133x	133x	NUM
cana-2863	179	19	vol	vol	NOUN
cana-2863	179	20	32	32	NUM
cana-2863	179	21	no	no	NOUN
cana-2863	179	22	.	.	PUNCT
cana-2863	180	1	4s	4s	NUM
cana-2863	180	2	(	(	PUNCT
cana-2863	180	3	2025	2025	NUM
cana-2863	180	4	)	)	PUNCT
cana-2863	180	5	453	453	NUM
cana-2863	180	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-2863	180	7	•	•	NUM
cana-2863	180	8	expected	expect	VERB
cana-2863	180	9	retrial	retrial	ADJ
cana-2863	180	10	group	group	NOUN
cana-2863	180	11	size	size	NOUN
cana-2863	180	12	when	when	SCONJ
cana-2863	180	13	the	the	DET
cana-2863	180	14	server	server	NOUN
cana-2863	180	15	is	be	AUX
cana-2863	180	16	busy	busy	ADJ
cana-2863	180	17	in	in	ADP
cana-2863	180	18	third	third	ADJ
cana-2863	180	19	optional	optional	ADJ
cana-2863	180	20	service	service	NOUN
cana-2863	180	21	is	be	AUX
cana-2863	180	22	derived	derive	VERB
cana-2863	180	23	as	as	ADP
cana-2863	180	24	)	)	PUNCT
cana-2863	180	25	]	]	X
cana-2863	181	1	(	(	PUNCT
cana-2863	181	2	r	r	X
cana-2863	181	3	[	[	X
cana-2863	181	4	d	d	X
cana-2863	181	5	d	d	X
cana-2863	181	6	limn	limn	NOUN
cana-2863	181	7	3	3	NUM
cana-2863	181	8	1	1	NUM
cana-2863	181	9	r3	r3	PROPN
cana-2863	181	10			PROPN
cana-2863	181	11			PROPN
cana-2863	181	12	=	=	SYM
cana-2863	181	13	→	→	ADJ
cana-2863	181	14	2	2	NUM
cana-2863	181	15	15	15	NUM
cana-2863	181	16	16131514	16131514	NUM
cana-2863	181	17	]	]	PUNCT
cana-2863	181	18	n[3	n[3	PROPN
cana-2863	181	19	nnnn	nnnn	NOUN
cana-2863	181	20	−	−	PROPN
cana-2863	182	1	=	=	SYM
cana-2863	182	2	(	(	PUNCT
cana-2863	182	3	76	76	NUM
cana-2863	182	4	)	)	PUNCT
cana-2863	182	5	where	where	SCONJ
cana-2863	182	6	,	,	PUNCT
cana-2863	182	7	313131	313131	NUM
cana-2863	182	8	*	*	SYM
cana-2863	182	9	1	1	NUM
cana-2863	182	10	*	*	SYM
cana-2863	182	11	02113	02113	NUM
cana-2863	182	12	)	)	PUNCT
cana-2863	182	13	1(cq)](kc)1p))((k1[(e2n	1(cq)](kc)1p))((k1[(e2n	PROPN
cana-2863	182	14	+−−−=	+−−−=	PUNCT
cana-2863	182	15	3131311111113	3131311111113	NUM
cana-2863	182	16	*	*	SYM
cana-2863	182	17	1	1	NUM
cana-2863	182	18	*	*	SYM
cana-2863	182	19	02114	02114	NUM
cana-2863	182	20	)	)	PUNCT
cana-2863	182	21	1(cq)1(cq2k)]((kc)1p))((k1{[(e3n	1(cq)1(cq2k)]((kc)1p))((k1{[(e3n	NUM
cana-2863	182	22	+++−−−=	+++−−−=	ADJ
cana-2863	182	23	}	}	PUNCT
cana-2863	182	24	)	)	PUNCT
cana-2863	182	25	1(cq)]pc2c))((k1()cc2[())1(cq)1(cq2	1(cq)]pc2c))((k1()cc2[())1(cq)1(cq2	NUM
cana-2863	182	26	31313112	31313112	NUM
cana-2863	182	27	*	*	PUNCT
cana-2863	182	28	21313131212121	21313131212121	NUM
cana-2863	182	29	++−−+−+++	++−−+−+++	NOUN
cana-2863	183	1	]	]	PUNCT
cana-2863	183	2	1[cqu2n	1[cqu2n	NUM
cana-2863	183	3	3131115	3131115	NUM
cana-2863	183	4	+=	+=	NOUN
cana-2863	183	5	)	)	PUNCT
cana-2863	183	6	)	)	PUNCT
cana-2863	183	7	]	]	SYM
cana-2863	183	8	1(c(n))cac(cq(u[3n	1(c(n))cac(cq(u[3n	NUM
cana-2863	183	9	3131432	3131432	NUM
cana-2863	183	10	2	2	NUM
cana-2863	183	11	1	1	NUM
cana-2863	183	12	22	22	NUM
cana-2863	183	13	31232116	31232116	NUM
cana-2863	183	14	+−++−−=	+−++−−=	PUNCT
cana-2863	183	15	•	•	NUM
cana-2863	183	16	expected	expect	VERB
cana-2863	183	17	retrial	retrial	ADJ
cana-2863	183	18	group	group	NOUN
cana-2863	183	19	size	size	NOUN
cana-2863	183	20	when	when	SCONJ
cana-2863	183	21	the	the	DET
cana-2863	183	22	server	server	NOUN
cana-2863	183	23	is	be	AUX
cana-2863	183	24	under	under	ADP
cana-2863	183	25	repair	repair	NOUN
cana-2863	183	26	in	in	ADP
cana-2863	183	27	first	first	ADJ
cana-2863	183	28	essential	essential	ADJ
cana-2863	183	29	service	service	NOUN
cana-2863	183	30	is	be	AUX
cana-2863	183	31	derived	derive	VERB
cana-2863	183	32	as	as	ADP
cana-2863	183	33	)	)	PUNCT
cana-2863	183	34	]	]	X
cana-2863	183	35	(	(	PUNCT
cana-2863	183	36	f	f	X
cana-2863	183	37	[	[	X
cana-2863	183	38	d	d	X
cana-2863	183	39	d	d	X
cana-2863	183	40	limn	limn	NOUN
cana-2863	183	41	1	1	NUM
cana-2863	183	42	1	1	NUM
cana-2863	183	43	f1	f1	NOUN
cana-2863	183	44			PROPN
cana-2863	183	45			PROPN
cana-2863	183	46	=	=	SYM
cana-2863	183	47	→	→	PROPN
cana-2863	183	48	2	2	NUM
cana-2863	183	49	19	19	NUM
cana-2863	183	50	20171918	20171918	NUM
cana-2863	183	51	]	]	PUNCT
cana-2863	183	52	n[4	n[4	NOUN
cana-2863	183	53	nnnn	nnnn	NOUN
cana-2863	183	54	+	+	X
cana-2863	183	55	=	=	SYM
cana-2863	183	56	(	(	PUNCT
cana-2863	183	57	77	77	NUM
cana-2863	183	58	)	)	PUNCT
cana-2863	183	59	where	where	SCONJ
cana-2863	183	60	,	,	PUNCT
cana-2863	183	61	}	}	PUNCT
cana-2863	183	62	cq)1(cq)](kc)1p))((k1{[(e6n	cq)1(cq)](kc)1p))((k1{[(e6n	NOUN
cana-2863	183	63	111111111	111111111	NUM
cana-2863	183	64	*	*	SYM
cana-2863	183	65	1	1	NUM
cana-2863	183	66	*	*	SYM
cana-2863	183	67	0117	0117	NUM
cana-2863	183	68	+−−−=	+−−−=	NOUN
cana-2863	183	69	)	)	PUNCT
cana-2863	183	70	)	)	PUNCT
cana-2863	183	71	cqcq()1(cqcqk)]((kc)1p))((k1{[(e12n	cqcq()1(cqcqk)]((kc)1p))((k1{[(e12n	NOUN
cana-2863	183	72	12	12	NUM
cana-2863	183	73	2	2	NUM
cana-2863	183	74	1	1	NUM
cana-2863	183	75	22	22	NUM
cana-2863	183	76	1121111111111	1121111111111	NUM
cana-2863	183	77	*	*	SYM
cana-2863	183	78	1	1	NUM
cana-2863	183	79	*	*	SYM
cana-2863	183	80	0118	0118	NUM
cana-2863	183	81	+++−−−=	+++−−−=	PROPN
cana-2863	183	82	)	)	PUNCT
cana-2863	183	83	}	}	PUNCT
cana-2863	183	84	cq)1(cq)](pc2c))((k1()cc2	cq)1(cq)](pc2c))((k1()cc2	PROPN
cana-2863	183	85	[	[	X
cana-2863	183	86	(	(	PUNCT
cana-2863	183	87	11111111112	11111111112	NUM
cana-2863	183	88	*	*	NUM
cana-2863	183	89	21	21	NUM
cana-2863	183	90	++−−+−	++−−+−	PUNCT
cana-2863	183	91	)	)	PUNCT
cana-2863	183	92	]	]	PUNCT
cana-2863	183	93	cq)(1(cqu[6n	cq)(1(cqu[6n	NOUN
cana-2863	183	94	11111119	11111119	NUM
cana-2863	183	95	−+=	−+=	NOUN
cana-2863	183	96	)	)	PUNCT
cana-2863	183	97	)	)	PUNCT
cana-2863	183	98	}	}	PUNCT
cana-2863	183	99	1(c)(cq(n)]1(cq)cq()cq))(cac(cq[(u{12n	1(c)(cq(n)]1(cq)cq()cq))(cac(cq[(u{12n	NUM
cana-2863	183	100	11111411112112	11111411112112	NUM
cana-2863	183	101	2	2	NUM
cana-2863	183	102	1	1	NUM
cana-2863	183	103	22	22	NUM
cana-2863	183	104	11212120	11212120	NUM
cana-2863	183	105	+−−++−+−+−−=	+−−++−+−+−−=	ADJ
cana-2863	183	106	•	•	NUM
cana-2863	183	107	expected	expect	VERB
cana-2863	183	108	retrial	retrial	ADJ
cana-2863	183	109	group	group	NOUN
cana-2863	183	110	size	size	NOUN
cana-2863	183	111	when	when	SCONJ
cana-2863	183	112	the	the	DET
cana-2863	183	113	server	server	NOUN
cana-2863	183	114	is	be	AUX
cana-2863	183	115	under	under	ADP
cana-2863	183	116	repair	repair	NOUN
cana-2863	183	117	in	in	ADP
cana-2863	183	118	second	second	ADJ
cana-2863	183	119	optional	optional	ADJ
cana-2863	183	120	service	service	NOUN
cana-2863	183	121	is	be	AUX
cana-2863	183	122	derived	derive	VERB
cana-2863	183	123	as	as	ADP
cana-2863	183	124	)	)	PUNCT
cana-2863	183	125	]	]	X
cana-2863	183	126	(	(	PUNCT
cana-2863	183	127	f	f	X
cana-2863	183	128	[	[	X
cana-2863	183	129	d	d	X
cana-2863	183	130	d	d	X
cana-2863	183	131	limn	limn	NOUN
cana-2863	183	132	2	2	NUM
cana-2863	183	133	1	1	NUM
cana-2863	183	134	f2	f2	ADJ
cana-2863	183	135			PROPN
cana-2863	183	136			X
cana-2863	183	137	=	=	SYM
cana-2863	183	138	→	→	NOUN
cana-2863	183	139	2	2	NUM
cana-2863	183	140	23	23	NUM
cana-2863	183	141	24212322	24212322	NUM
cana-2863	183	142	]	]	PUNCT
cana-2863	183	143	n[4	n[4	NOUN
cana-2863	183	144	nnnn	nnnn	NOUN
cana-2863	183	145	+	+	X
cana-2863	183	146	=	=	X
cana-2863	183	147	(	(	PUNCT
cana-2863	183	148	78	78	NUM
cana-2863	183	149	)	)	PUNCT
cana-2863	183	150	where	where	SCONJ
cana-2863	183	151	,	,	PUNCT
cana-2863	183	152	}	}	PUNCT
cana-2863	183	153	cq)1(cq)](kc)1p))((k1{[(e6n	cq)1(cq)](kc)1p))((k1{[(e6n	NOUN
cana-2863	183	154	211212121	211212121	NUM
cana-2863	183	155	*	*	SYM
cana-2863	183	156	1	1	NUM
cana-2863	183	157	*	*	SYM
cana-2863	183	158	01221	01221	NUM
cana-2863	183	159	+−−−=	+−−−=	PUNCT
cana-2863	183	160	communications	communication	NOUN
cana-2863	183	161	on	on	ADP
cana-2863	183	162	applied	apply	VERB
cana-2863	183	163	nonlinear	nonlinear	ADJ
cana-2863	183	164	analysis	analysis	NOUN
cana-2863	183	165	issn	issn	NOUN
cana-2863	183	166	:	:	PUNCT
cana-2863	183	167	1074	1074	NUM
cana-2863	183	168	-	-	PUNCT
cana-2863	183	169	133x	133x	NUM
cana-2863	183	170	vol	vol	NOUN
cana-2863	183	171	32	32	NUM
cana-2863	183	172	no	no	NOUN
cana-2863	183	173	.	.	PUNCT
cana-2863	184	1	4s	4s	NUM
cana-2863	184	2	(	(	PUNCT
cana-2863	184	3	2025	2025	NUM
cana-2863	184	4	)	)	PUNCT
cana-2863	184	5	454	454	NUM
cana-2863	184	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	184	7	)	)	PUNCT
cana-2863	184	8	cqcq()1(cqcqk)]((kc)1p))((k1{[(e12n	cqcq()1(cqcqk)]((kc)1p))((k1{[(e12n	NOUN
cana-2863	184	9	22	22	NUM
cana-2863	184	10	2	2	NUM
cana-2863	184	11	1	1	NUM
cana-2863	184	12	22	22	NUM
cana-2863	184	13	2122121212112	2122121212112	NUM
cana-2863	184	14	*	*	PUNCT
cana-2863	185	1	1	1	NUM
cana-2863	185	2	*	*	SYM
cana-2863	185	3	01222	01222	NUM
cana-2863	185	4	+++−−−=	+++−−−=	NUM
cana-2863	185	5	)	)	PUNCT
cana-2863	186	1	]	]	PUNCT
cana-2863	186	2	pc2c))((k1()cc2[())cq)1(cq)1(cq(2	pc2c))((k1()cc2[())cq)1(cq)1(cq(2	NOUN
cana-2863	186	3	12	12	NUM
cana-2863	186	4	*	*	SYM
cana-2863	186	5	21211212121111111	21211212121111111	NUM
cana-2863	187	1	+	+	CCONJ
cana-2863	187	2	−−+−+++	−−+−+++	NOUN
cana-2863	187	3	)	)	PUNCT
cana-2863	187	4	}	}	PUNCT
cana-2863	187	5	cq)1(cq	cq)1(cq	PROPN
cana-2863	187	6	(	(	PUNCT
cana-2863	187	7	211212121	211212121	NUM
cana-2863	187	8	+	+	NOUN
cana-2863	187	9	)	)	PUNCT
cana-2863	187	10	]	]	PUNCT
cana-2863	187	11	cq)(1(cqu[6n	cq)(1(cqu[6n	PROPN
cana-2863	187	12	12121123	12121123	NUM
cana-2863	187	13	−+=	−+=	NUM
cana-2863	187	14	)	)	PUNCT
cana-2863	188	1	]	]	X
cana-2863	188	2	1(cq)cq()cq))(cac(cq[(u{12n	1(cq)cq()cq))(cac(cq[(u{12n	NOUN
cana-2863	188	3	21212122	21212122	NUM
cana-2863	188	4	2	2	NUM
cana-2863	188	5	1	1	NUM
cana-2863	188	6	22	22	NUM
cana-2863	188	7	21222124	21222124	NUM
cana-2863	188	8	+−+−+−−=	+−+−+−−=	PROPN
cana-2863	188	9	)	)	PUNCT
cana-2863	188	10	)	)	PUNCT
cana-2863	188	11	}	}	PUNCT
cana-2863	188	12	1(c)(cq(n	1(c)(cq(n	NUM
cana-2863	188	13	212114	212114	NUM
cana-2863	188	14	+−−+	+−−+	NOUN
cana-2863	188	15	•	•	ADP
cana-2863	188	16	expected	expect	VERB
cana-2863	188	17	retrial	retrial	ADJ
cana-2863	188	18	group	group	NOUN
cana-2863	188	19	size	size	NOUN
cana-2863	188	20	when	when	SCONJ
cana-2863	188	21	the	the	DET
cana-2863	188	22	server	server	NOUN
cana-2863	188	23	is	be	AUX
cana-2863	188	24	under	under	ADP
cana-2863	188	25	repair	repair	NOUN
cana-2863	188	26	in	in	ADP
cana-2863	188	27	third	third	ADJ
cana-2863	188	28	optional	optional	ADJ
cana-2863	188	29	service	service	NOUN
cana-2863	188	30	is	be	AUX
cana-2863	188	31	derived	derive	VERB
cana-2863	188	32	as	as	ADP
cana-2863	188	33	)	)	PUNCT
cana-2863	188	34	]	]	X
cana-2863	188	35	(	(	PUNCT
cana-2863	188	36	f	f	X
cana-2863	188	37	[	[	X
cana-2863	188	38	d	d	X
cana-2863	188	39	d	d	X
cana-2863	188	40	limn	limn	NOUN
cana-2863	188	41	3	3	NUM
cana-2863	188	42	1	1	NUM
cana-2863	188	43	f3	f3	ADJ
cana-2863	188	44			ADJ
cana-2863	188	45			NOUN
cana-2863	188	46	=	=	SYM
cana-2863	188	47	→	→	PROPN
cana-2863	188	48	2	2	NUM
cana-2863	188	49	27	27	NUM
cana-2863	188	50	25282726	25282726	NUM
cana-2863	188	51	]	]	PUNCT
cana-2863	188	52	n[4	n[4	NOUN
cana-2863	188	53	nnnn	nnnn	NOUN
cana-2863	188	54	+	+	X
cana-2863	188	55	=	=	SYM
cana-2863	188	56	(	(	PUNCT
cana-2863	188	57	79	79	NUM
cana-2863	188	58	)	)	PUNCT
cana-2863	188	59	where	where	SCONJ
cana-2863	188	60	,	,	PUNCT
cana-2863	188	61	}	}	PUNCT
cana-2863	188	62	cq)1(cq)](kc)1p))((k1{[(e6n	cq)1(cq)](kc)1p))((k1{[(e6n	NOUN
cana-2863	188	63	311313131	311313131	NUM
cana-2863	188	64	*	*	SYM
cana-2863	189	1	1	1	NUM
cana-2863	189	2	*	*	SYM
cana-2863	189	3	021225	021225	NUM
cana-2863	189	4	+−−−=	+−−−=	X
cana-2863	189	5	)	)	PUNCT
cana-2863	189	6	cqcq()1(cqcqk)]((kc)1p))((k1{[(e12n	cqcq()1(cqcqk)]((kc)1p))((k1{[(e12n	NOUN
cana-2863	189	7	32	32	NUM
cana-2863	189	8	2	2	NUM
cana-2863	189	9	1	1	NUM
cana-2863	189	10	22	22	NUM
cana-2863	189	11	3123131313113	3123131313113	NUM
cana-2863	189	12	*	*	SYM
cana-2863	189	13	1	1	NUM
cana-2863	189	14	*	*	SYM
cana-2863	189	15	021226	021226	NUM
cana-2863	189	16	+++−−−=	+++−−−=	X
cana-2863	189	17	)	)	PUNCT
cana-2863	189	18	}	}	PUNCT
cana-2863	189	19	cq)1(cq)](pc2c))((k1()cc2	cq)1(cq)](pc2c))((k1()cc2	PROPN
cana-2863	189	20	[	[	X
cana-2863	189	21	(	(	PUNCT
cana-2863	189	22	31131313112	31131313112	NUM
cana-2863	189	23	*	*	NUM
cana-2863	189	24	21	21	NUM
cana-2863	189	25	++−−+−	++−−+−	PUNCT
cana-2863	189	26	)	)	PUNCT
cana-2863	189	27	]	]	PUNCT
cana-2863	189	28	cq)(1(cqu[6n	cq)(1(cqu[6n	PROPN
cana-2863	189	29	13131127	13131127	NUM
cana-2863	189	30	−+=	−+=	NOUN
cana-2863	189	31	)	)	PUNCT
cana-2863	189	32	cq(n)]1(cq)cq()cq))(cac(cq[(u{12n	cq(n)]1(cq)cq()cq))(cac(cq[(u{12n	NOUN
cana-2863	189	33	1431312132	1431312132	NUM
cana-2863	189	34	2	2	NUM
cana-2863	189	35	1	1	NUM
cana-2863	189	36	22	22	NUM
cana-2863	189	37	31232128	31232128	NUM
cana-2863	189	38	−++−+−+−−=	−++−+−+−−=	NOUN
cana-2863	189	39	)	)	PUNCT
cana-2863	189	40	)	)	PUNCT
cana-2863	189	41	}	}	PUNCT
cana-2863	190	1	1(c	1(c	NUM
cana-2863	190	2	(	(	PUNCT
cana-2863	190	3	3131	3131	NUM
cana-2863	190	4	+−	+−	SYM
cana-2863	190	5	•	•	ADP
cana-2863	190	6	expected	expect	VERB
cana-2863	190	7	retrial	retrial	ADJ
cana-2863	190	8	group	group	NOUN
cana-2863	190	9	size	size	NOUN
cana-2863	190	10	when	when	SCONJ
cana-2863	190	11	the	the	DET
cana-2863	190	12	server	server	NOUN
cana-2863	190	13	is	be	AUX
cana-2863	190	14	on	on	ADP
cana-2863	190	15	vacation	vacation	NOUN
cana-2863	190	16	is	be	AUX
cana-2863	190	17	derived	derive	VERB
cana-2863	190	18	as	as	ADP
cana-2863	190	19	)	)	PUNCT
cana-2863	190	20	]	]	X
cana-2863	190	21	(	(	PUNCT
cana-2863	190	22	v	v	X
cana-2863	190	23	[	[	X
cana-2863	190	24	d	d	X
cana-2863	190	25	d	d	X
cana-2863	190	26	limn	limn	NOUN
cana-2863	190	27	1	1	NUM
cana-2863	190	28	v	v	NUM
cana-2863	190	29			ADJ
cana-2863	190	30			X
cana-2863	190	31	=	=	SYM
cana-2863	190	32	→	→	NOUN
cana-2863	190	33	2	2	NUM
cana-2863	190	34	31	31	NUM
cana-2863	190	35	29323130	29323130	NUM
cana-2863	190	36	]	]	PUNCT
cana-2863	190	37	n[3	n[3	PROPN
cana-2863	190	38	nnnn	nnnn	NOUN
cana-2863	190	39	+	+	X
cana-2863	191	1	=	=	X
cana-2863	191	2	(	(	PUNCT
cana-2863	191	3	80	80	NUM
cana-2863	191	4	)	)	PUNCT
cana-2863	191	5	where	where	SCONJ
cana-2863	191	6	,	,	PUNCT
cana-2863	191	7	}	}	PUNCT
cana-2863	191	8	cq)](kc)1p))((k1{[(e2n	cq)](kc)1p))((k1{[(e2n	PROPN
cana-2863	191	9	11	11	NUM
cana-2863	191	10	*	*	SYM
cana-2863	191	11	1	1	NUM
cana-2863	191	12	*	*	SYM
cana-2863	191	13	02129	02129	NUM
cana-2863	191	14	−−−=	−−−=	VERB
cana-2863	191	15	11111111122	11111111122	NUM
cana-2863	191	16	2	2	NUM
cana-2863	191	17	1	1	NUM
cana-2863	191	18	22	22	NUM
cana-2863	191	19	*	*	SYM
cana-2863	191	20	1	1	NUM
cana-2863	191	21	*	*	SYM
cana-2863	191	22	02130	02130	NUM
cana-2863	191	23	)	)	PUNCT
cana-2863	191	24	1(cq(cq2)cqcq)](((kc)1p))((k1{[(e3n	1(cq(cq2)cqcq)](((kc)1p))((k1{[(e3n	NUM
cana-2863	191	25	+++−−−=	+++−−−=	PROPN
cana-2863	191	26	}	}	PUNCT
cana-2863	191	27	cq)]pc2c))((k1()cc2[()))1(cq)1(cq	cq)]pc2c))((k1()cc2[()))1(cq)1(cq	PROPN
cana-2863	191	28	1112	1112	NUM
cana-2863	191	29	*	*	SYM
cana-2863	191	30	21313131212121	21313131212121	NUM
cana-2863	191	31	+−−+−++++	+−−+−++++	NOUN
cana-2863	191	32	)	)	PUNCT
cana-2863	191	33	)	)	PUNCT
cana-2863	191	34	qc(u(2n	qc(u(2n	X
cana-2863	191	35	1131	1131	NUM
cana-2863	191	36	−=	−=	NOUN
cana-2863	191	37	)	)	PUNCT
cana-2863	191	38	]	]	PUNCT
cana-2863	191	39	c(n))qc(u[3n	c(n))qc(u[3n	PROPN
cana-2863	191	40	141132	141132	NUM
cana-2863	191	41	−+−=	−+−=	PROPN
cana-2863	191	42	communications	communication	NOUN
cana-2863	191	43	on	on	ADP
cana-2863	191	44	applied	apply	VERB
cana-2863	191	45	nonlinear	nonlinear	ADJ
cana-2863	191	46	analysis	analysis	NOUN
cana-2863	191	47	issn	issn	NOUN
cana-2863	191	48	:	:	PUNCT
cana-2863	191	49	1074	1074	NUM
cana-2863	191	50	-	-	PUNCT
cana-2863	191	51	133x	133x	NUM
cana-2863	191	52	vol	vol	NOUN
cana-2863	191	53	32	32	NUM
cana-2863	191	54	no	no	NOUN
cana-2863	191	55	.	.	PUNCT
cana-2863	192	1	4s	4s	NUM
cana-2863	192	2	(	(	PUNCT
cana-2863	192	3	2025	2025	NUM
cana-2863	192	4	)	)	PUNCT
cana-2863	192	5	455	455	NUM
cana-2863	192	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-2863	192	7	2.3	2.3	NUM
cana-2863	192	8	reliability	reliability	NOUN
cana-2863	192	9	measures	measure	NOUN
cana-2863	192	10	theorem	theorem	VERB
cana-2863	192	11	2.3	2.3	NUM
cana-2863	192	12	availability	availability	NOUN
cana-2863	192	13	of	of	ADP
cana-2863	192	14	the	the	DET
cana-2863	192	15	server	server	NOUN
cana-2863	192	16	at	at	ADP
cana-2863	192	17	time	time	NOUN
cana-2863	192	18	(	(	PUNCT
cana-2863	192	19	t	t	NOUN
cana-2863	192	20	)	)	PUNCT
cana-2863	192	21	,	,	PUNCT
cana-2863	192	22	is	be	AUX
cana-2863	192	23	the	the	DET
cana-2863	192	24	probability	probability	NOUN
cana-2863	192	25	that	that	SCONJ
cana-2863	192	26	the	the	DET
cana-2863	192	27	server	server	NOUN
cana-2863	192	28	is	be	AUX
cana-2863	192	29	idle	idle	ADJ
cana-2863	192	30	or	or	CCONJ
cana-2863	192	31	busy	busy	ADJ
cana-2863	192	32	with	with	ADP
cana-2863	192	33	customers	customer	NOUN
cana-2863	192	34	is	be	AUX
cana-2863	192	35	given	give	VERB
cana-2863	192	36	by	by	ADP
cana-2863	192	37	)	)	PUNCT
cana-2863	192	38	]	]	PUNCT
cana-2863	192	39	(	(	PUNCT
cana-2863	192	40	kcp))(k1[()ncq1)((k))(k1(tp{ea	kcp))(k1[()ncq1)((k))(k1(tp{ea	PROPN
cana-2863	192	41	*	*	PUNCT
cana-2863	192	42	1	1	NUM
cana-2863	192	43	*	*	SYM
cana-2863	192	44	2131211	2131211	NUM
cana-2863	192	45	*	*	PUNCT
cana-2863	193	1	*	*	PUNCT
cana-2863	193	2	0	0	NUM
cana-2863	193	3	+−+−−−−+−=	+−+−−−−+−=	NOUN
cana-2863	193	4	1312121111	1312121111	NUM
cana-2863	193	5	u/	u/	NOUN
cana-2863	193	6	]	]	PUNCT
cana-2863	193	7	}	}	PUNCT
cana-2863	193	8	[	[	PUNCT
cana-2863	193	9	++	++	PROPN
cana-2863	193	10	(	(	PUNCT
cana-2863	193	11	81	81	NUM
cana-2863	193	12	)	)	PUNCT
cana-2863	193	13	proof	proof	NOUN
cana-2863	193	14	the	the	DET
cana-2863	193	15	availability	availability	NOUN
cana-2863	193	16	of	of	ADP
cana-2863	193	17	the	the	DET
cana-2863	193	18	server	server	NOUN
cana-2863	193	19	can	can	AUX
cana-2863	193	20	be	be	AUX
cana-2863	193	21	expressed	express	VERB
cana-2863	193	22	as	as	ADP
cana-2863	193	23	)	)	PUNCT
cana-2863	193	24	]	]	PUNCT
cana-2863	193	25	(	(	PUNCT
cana-2863	193	26	r)(r)(r)(e[limea	r)(r)(r)(e[limea	VERB
cana-2863	193	27	321	321	NUM
cana-2863	193	28	1	1	NUM
cana-2863	193	29	0	0	NUM
cana-2863	193	30	++++=	++++=	NUM
cana-2863	193	31	→	→	PROPN
cana-2863	193	32	(	(	PUNCT
cana-2863	193	33	82	82	NUM
cana-2863	193	34	)	)	PUNCT
cana-2863	193	35	substituting	substitute	VERB
cana-2863	193	36	the	the	DET
cana-2863	193	37	equations	equation	NOUN
cana-2863	193	38	(	(	PUNCT
cana-2863	193	39	26	26	NUM
cana-2863	193	40	)	)	PUNCT
cana-2863	193	41	to	to	ADP
cana-2863	193	42	(	(	PUNCT
cana-2863	193	43	29	29	NUM
cana-2863	193	44	)	)	PUNCT
cana-2863	193	45	in	in	ADP
cana-2863	193	46	(	(	PUNCT
cana-2863	193	47	82	82	NUM
cana-2863	193	48	)	)	PUNCT
cana-2863	193	49	we	we	PRON
cana-2863	193	50	get	get	VERB
cana-2863	193	51	equation	equation	NOUN
cana-2863	193	52	(	(	PUNCT
cana-2863	193	53	81	81	NUM
cana-2863	193	54	)	)	PUNCT
cana-2863	193	55	.	.	PUNCT
cana-2863	194	1	theorem	theorem	VERB
cana-2863	194	2	2.4	2.4	NUM
cana-2863	194	3	the	the	DET
cana-2863	194	4	failure	failure	NOUN
cana-2863	194	5	frequency	frequency	NOUN
cana-2863	194	6	of	of	ADP
cana-2863	194	7	the	the	DET
cana-2863	194	8	server	server	NOUN
cana-2863	194	9	is	be	AUX
cana-2863	194	10	given	give	VERB
cana-2863	194	11	by	by	ADP
cana-2863	194	12	1312132112111	1312132112111	NUM
cana-2863	194	13	*	*	SYM
cana-2863	194	14	1	1	NUM
cana-2863	194	15	*	*	SYM
cana-2863	194	16	0	0	NUM
cana-2863	194	17	u/)]((kcp))(k1[(em	u/)]((kcp))(k1[(em	PROPN
cana-2863	194	18	+++−=	+++−=	NUM
cana-2863	194	19	(	(	PUNCT
cana-2863	194	20	83	83	NUM
cana-2863	194	21	)	)	PUNCT
cana-2863	194	22	proof	proof	NOUN
cana-2863	194	23	)	)	PUNCT
cana-2863	194	24	]	]	PUNCT
cana-2863	194	25	(	(	PUNCT
cana-2863	194	26	r)(r)(r[limm	r)(r)(r[limm	VERB
cana-2863	194	27	332211	332211	NUM
cana-2863	194	28	1	1	NUM
cana-2863	194	29	++=	++=	NOUN
cana-2863	194	30	→	→	NOUN
cana-2863	194	31	(	(	PUNCT
cana-2863	194	32	84	84	NUM
cana-2863	194	33	)	)	PUNCT
cana-2863	194	34	substituting	substitute	VERB
cana-2863	194	35	the	the	DET
cana-2863	194	36	expressions	expression	NOUN
cana-2863	194	37	in	in	ADP
cana-2863	194	38	(	(	PUNCT
cana-2863	194	39	26	26	NUM
cana-2863	194	40	)	)	PUNCT
cana-2863	194	41	to	to	ADP
cana-2863	194	42	(	(	PUNCT
cana-2863	194	43	29	29	NUM
cana-2863	194	44	)	)	PUNCT
cana-2863	194	45	in	in	ADP
cana-2863	194	46	equation	equation	NOUN
cana-2863	194	47	(	(	PUNCT
cana-2863	194	48	84	84	NUM
cana-2863	194	49	)	)	PUNCT
cana-2863	194	50	,	,	PUNCT
cana-2863	194	51	we	we	PRON
cana-2863	194	52	get	get	VERB
cana-2863	194	53	(	(	PUNCT
cana-2863	194	54	83	83	NUM
cana-2863	194	55	)	)	PUNCT
cana-2863	194	56	.	.	PUNCT
cana-2863	195	1	3	3	X
cana-2863	195	2	.	.	X
cana-2863	195	3	numerical	numerical	PROPN
cana-2863	195	4	results	result	NOUN
cana-2863	195	5	the	the	DET
cana-2863	195	6	performance	performance	NOUN
cana-2863	195	7	measures	measure	NOUN
cana-2863	195	8	are	be	AUX
cana-2863	195	9	illustrated	illustrate	VERB
cana-2863	195	10	numerically	numerically	ADV
cana-2863	195	11	by	by	ADP
cana-2863	195	12	using	use	VERB
cana-2863	195	13	various	various	ADJ
cana-2863	195	14	system	system	NOUN
cana-2863	195	15	measures	measure	NOUN
cana-2863	195	16	.	.	PUNCT
cana-2863	196	1	for	for	ADP
cana-2863	196	2	computation	computation	NOUN
cana-2863	196	3	we	we	PRON
cana-2863	196	4	choose	choose	VERB
cana-2863	196	5	the	the	DET
cana-2863	196	6	arbitrary	arbitrary	ADJ
cana-2863	196	7	parameters	parameter	NOUN
cana-2863	196	8	as	as	ADP
cana-2863	196	9	;	;	PUNCT
cana-2863	196	10	2=	2=	NUM
cana-2863	196	11	;	;	PUNCT
cana-2863	196	12	7.0q	7.0q	NUM
cana-2863	196	13	=	=	SYM
cana-2863	196	14	;	;	PUNCT
cana-2863	196	15	6.0p=	6.0p=	NUM
cana-2863	196	16	;	;	PUNCT
cana-2863	196	17	6.01	6.01	NUM
cana-2863	196	18	=	=	NOUN
cana-2863	196	19			NOUN
cana-2863	196	20	;	;	PUNCT
cana-2863	197	1	7.02	7.02	NUM
cana-2863	197	2	=	=	NUM
cana-2863	197	3			PROPN
cana-2863	197	4	;	;	PUNCT
cana-2863	197	5	8.03	8.03	NUM
cana-2863	197	6	=	=	NUM
cana-2863	197	7			NOUN
cana-2863	197	8	;	;	PUNCT
cana-2863	197	9	5.01	5.01	NUM
cana-2863	197	10	=	=	NUM
cana-2863	197	11			X
cana-2863	197	12	;	;	PUNCT
cana-2863	197	13	6.02	6.02	NUM
cana-2863	197	14	=	=	NUM
cana-2863	197	15			X
cana-2863	197	16	;	;	PUNCT
cana-2863	197	17	7.03	7.03	NUM
cana-2863	197	18	=	=	NUM
cana-2863	197	19			X
cana-2863	197	20	;	;	PUNCT
cana-2863	197	21	5.01	5.01	NUM
cana-2863	197	22	=	=	NUM
cana-2863	197	23			X
cana-2863	197	24	;	;	PUNCT
cana-2863	197	25	3.02	3.02	NUM
cana-2863	197	26	=	=	X
cana-2863	197	27			X
cana-2863	197	28	;	;	PUNCT
cana-2863	197	29	8=	8=	NUM
cana-2863	197	30	;	;	PUNCT
cana-2863	197	31	9.0=	9.0=	NUM
cana-2863	197	32	;	;	PUNCT
cana-2863	197	33	2.0r0	2.0r0	NUM
cana-2863	197	34	=	=	SYM
cana-2863	197	35	;	;	PUNCT
cana-2863	197	36	1.0r1	1.0r1	NUM
cana-2863	197	37	=	=	PUNCT
cana-2863	197	38	;	;	PUNCT
cana-2863	197	39	3.01	3.01	NUM
cana-2863	197	40	=	=	NUM
cana-2863	197	41			NOUN
cana-2863	197	42	;	;	PUNCT
cana-2863	197	43	3.02	3.02	NUM
cana-2863	197	44	=	=	NUM
cana-2863	197	45			NOUN
cana-2863	197	46	;	;	PUNCT
cana-2863	197	47	251	251	NUM
cana-2863	197	48	=	=	NOUN
cana-2863	197	49			NOUN
cana-2863	197	50	;	;	PUNCT
cana-2863	197	51	152	152	NUM
cana-2863	197	52	=	=	NOUN
cana-2863	197	53			NOUN
cana-2863	197	54	;	;	PUNCT
cana-2863	197	55	103	103	NUM
cana-2863	197	56	=	=	NOUN
cana-2863	197	57			NOUN
cana-2863	197	58	;	;	PUNCT
cana-2863	197	59	101	101	NUM
cana-2863	197	60	=	=	NOUN
cana-2863	197	61			NOUN
cana-2863	197	62	;	;	PUNCT
cana-2863	197	63	82	82	NUM
cana-2863	197	64	=	=	NOUN
cana-2863	197	65			NOUN
cana-2863	197	66	;	;	PUNCT
cana-2863	197	67	63	63	NUM
cana-2863	197	68	=	=	NUM
cana-2863	197	69			NOUN
cana-2863	197	70	;	;	PUNCT
cana-2863	197	71	10v=	10v=	NUM
cana-2863	197	72	;	;	PUNCT
cana-2863	197	73	5.0c1	5.0c1	NUM
cana-2863	197	74	=	=	SYM
cana-2863	197	75	.5.0c2	.5.0c2	PUNCT
cana-2863	198	1	=	=	PUNCT
cana-2863	198	2	the	the	DET
cana-2863	198	3	effects	effect	NOUN
cana-2863	198	4	of	of	ADP
cana-2863	198	5	various	various	ADJ
cana-2863	198	6	parameters	parameter	NOUN
cana-2863	198	7	on	on	ADP
cana-2863	198	8	the	the	DET
cana-2863	198	9	system	system	NOUN
cana-2863	198	10	measures	measure	NOUN
cana-2863	198	11	,	,	PUNCT
cana-2863	198	12	−0e	−0e	PROPN
cana-2863	198	13	probability	probability	NOUN
cana-2863	198	14	that	that	SCONJ
cana-2863	198	15	the	the	DET
cana-2863	198	16	server	server	NOUN
cana-2863	198	17	is	be	AUX
cana-2863	198	18	idle	idle	ADJ
cana-2863	198	19	in	in	ADP
cana-2863	198	20	the	the	DET
cana-2863	198	21	empty	empty	ADJ
cana-2863	198	22	system	system	NOUN
cana-2863	198	23	,	,	PUNCT
cana-2863	198	24	−e	−e	NOUN
cana-2863	198	25	probability	probability	VERB
cana-2863	198	26	that	that	SCONJ
cana-2863	198	27	the	the	DET
cana-2863	198	28	server	server	NOUN
cana-2863	198	29	is	be	AUX
cana-2863	198	30	idle	idle	ADJ
cana-2863	198	31	in	in	ADP
cana-2863	198	32	the	the	DET
cana-2863	198	33	non	non	ADJ
cana-2863	198	34	-	-	ADJ
cana-2863	198	35	empty	empty	ADJ
cana-2863	198	36	system	system	NOUN
cana-2863	198	37	,	,	PUNCT
cana-2863	198	38	−r	−r	ADJ
cana-2863	198	39	probability	probability	NOUN
cana-2863	198	40	that	that	SCONJ
cana-2863	198	41	the	the	DET
cana-2863	198	42	server	server	NOUN
cana-2863	198	43	is	be	AUX
cana-2863	198	44	busy	busy	ADJ
cana-2863	198	45	in	in	ADP
cana-2863	198	46	service	service	NOUN
cana-2863	198	47	,	,	PUNCT
cana-2863	198	48	−f	−f	ADJ
cana-2863	198	49	probability	probability	NOUN
cana-2863	198	50	that	that	SCONJ
cana-2863	198	51	the	the	DET
cana-2863	198	52	server	server	NOUN
cana-2863	198	53	is	be	AUX
cana-2863	198	54	under	under	ADP
cana-2863	198	55	repair	repair	NOUN
cana-2863	198	56	during	during	ADP
cana-2863	198	57	service	service	NOUN
cana-2863	198	58	,	,	PUNCT
cana-2863	198	59	−v	−v	NOUN
cana-2863	198	60	probability	probability	NOUN
cana-2863	198	61	that	that	SCONJ
cana-2863	198	62	the	the	DET
cana-2863	198	63	server	server	NOUN
cana-2863	198	64	is	be	AUX
cana-2863	198	65	on	on	ADP
cana-2863	198	66	vacation	vacation	NOUN
cana-2863	198	67	,	,	PUNCT
cana-2863	198	68	−sl	−sl	NOUN
cana-2863	198	69	the	the	DET
cana-2863	198	70	mean	mean	ADJ
cana-2863	198	71	system	system	NOUN
cana-2863	198	72	size	size	NOUN
cana-2863	198	73	.	.	PUNCT
cana-2863	199	1			NOUN
cana-2863	199	2			NOUN
cana-2863	199	3			X
cana-2863	199	4	0e	0e	NOUN
cana-2863	199	5	e	e	NOUN
cana-2863	199	6	r	r	NOUN
cana-2863	199	7	f	f	NOUN
cana-2863	199	8	v	v	INTJ
cana-2863	199	9	sl	sl	INTJ
cana-2863	199	10	0.6	0.6	NUM
cana-2863	199	11	3	3	NUM
cana-2863	199	12	10	10	NUM
cana-2863	199	13	0.7363	0.7363	NUM
cana-2863	199	14	0.0229	0.0229	NUM
cana-2863	200	1	0.2001	0.2001	NUM
cana-2863	200	2	0.0173	0.0173	NUM
cana-2863	200	3	0.0235	0.0235	NUM
cana-2863	200	4	0.2921	0.2921	NUM
cana-2863	200	5	15	15	NUM
cana-2863	200	6	0.7472	0.7472	NUM
cana-2863	200	7	0.0215	0.0215	NUM
cana-2863	200	8	0.1922	0.1922	NUM
cana-2863	200	9	0.0156	0.0156	NUM
cana-2863	200	10	0.0236	0.0236	NUM
cana-2863	200	11	0.2828	0.2828	NUM
cana-2863	200	12	20	20	NUM
cana-2863	200	13	0.7526	0.7526	NUM
cana-2863	200	14	0.0208	0.0208	NUM
cana-2863	200	15	0.1882	0.1882	NUM
cana-2863	200	16	0.0147	0.0147	NUM
cana-2863	200	17	0.0236	0.0236	NUM
cana-2863	200	18	0.2781	0.2781	NUM
cana-2863	200	19	6	6	NUM
cana-2863	200	20	10	10	NUM
cana-2863	200	21	0.7390	0.7390	NUM
cana-2863	200	22	0.0226	0.0226	NUM
cana-2863	201	1	0.2002	0.2002	NUM
cana-2863	201	2	0.0148	0.0148	NUM
cana-2863	201	3	0.0235	0.0235	NUM
cana-2863	201	4	0.2897	0.2897	NUM
cana-2863	201	5	15	15	NUM
cana-2863	201	6	0.7490	0.7490	NUM
cana-2863	201	7	0.0212	0.0212	NUM
cana-2863	201	8	0.1924	0.1924	NUM
cana-2863	201	9	0.0138	0.0138	NUM
cana-2863	201	10	0.0236	0.0236	NUM
cana-2863	201	11	0.2812	0.2812	NUM
cana-2863	201	12	20	20	NUM
cana-2863	201	13	0.7540	0.7540	NUM
cana-2863	201	14	0.0206	0.0206	NUM
cana-2863	202	1	0.1883	0.1883	NUM
cana-2863	202	2	0.0134	0.0134	NUM
cana-2863	202	3	0.0236	0.0236	NUM
cana-2863	202	4	0.2769	0.2769	NUM
cana-2863	202	5	communications	communication	NOUN
cana-2863	202	6	on	on	ADP
cana-2863	202	7	applied	apply	VERB
cana-2863	202	8	nonlinear	nonlinear	ADJ
cana-2863	202	9	analysis	analysis	NOUN
cana-2863	202	10	issn	issn	NOUN
cana-2863	202	11	:	:	PUNCT
cana-2863	202	12	1074	1074	NUM
cana-2863	202	13	-	-	PUNCT
cana-2863	202	14	133x	133x	NUM
cana-2863	202	15	vol	vol	NOUN
cana-2863	202	16	32	32	NUM
cana-2863	202	17	no	no	NOUN
cana-2863	202	18	.	.	PUNCT
cana-2863	203	1	4s	4s	NUM
cana-2863	203	2	(	(	PUNCT
cana-2863	203	3	2025	2025	NUM
cana-2863	203	4	)	)	PUNCT
cana-2863	203	5	456	456	NUM
cana-2863	204	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	204	2	9	9	NUM
cana-2863	204	3	10	10	NUM
cana-2863	204	4	0.7399	0.7399	NUM
cana-2863	204	5	0.0224	0.0224	NUM
cana-2863	204	6	0.2003	0.2003	NUM
cana-2863	204	7	0.0138	0.0138	NUM
cana-2863	204	8	0.0235	0.0235	NUM
cana-2863	204	9	0.2889	0.2889	NUM
cana-2863	204	10	15	15	NUM
cana-2863	204	11	0.7496	0.7496	NUM
cana-2863	205	1	0.0212	0.0212	NUM
cana-2863	205	2	0.1924	0.1924	NUM
cana-2863	205	3	0.0133	0.0133	NUM
cana-2863	205	4	0.0236	0.0236	NUM
cana-2863	205	5	0.2807	0.2807	NUM
cana-2863	205	6	20	20	NUM
cana-2863	205	7	0.7545	0.7545	NUM
cana-2863	205	8	0.0205	0.0205	NUM
cana-2863	205	9	0.1883	0.1883	NUM
cana-2863	205	10	0.0130	0.0130	NUM
cana-2863	205	11	0.0237	0.0237	NUM
cana-2863	205	12	0.2765	0.2765	NUM
cana-2863	205	13	0.8	0.8	NUM
cana-2863	205	14	3	3	NUM
cana-2863	205	15	10	10	NUM
cana-2863	205	16	0.7345	0.7345	NUM
cana-2863	205	17	0.0231	0.0231	NUM
cana-2863	205	18	0.1999	0.1999	NUM
cana-2863	205	19	0.0191	0.0191	NUM
cana-2863	205	20	0.0235	0.0235	NUM
cana-2863	205	21	0.2937	0.2937	NUM
cana-2863	205	22	15	15	NUM
cana-2863	205	23	0.7460	0.7460	NUM
cana-2863	205	24	0.0216	0.0216	NUM
cana-2863	206	1	0.1921	0.1921	NUM
cana-2863	206	2	0.0168	0.0168	NUM
cana-2863	206	3	0.0236	0.0236	NUM
cana-2863	206	4	0.2839	0.2839	NUM
cana-2863	206	5	20	20	NUM
cana-2863	206	6	0.7517	0.7517	NUM
cana-2863	206	7	0.0209	0.0209	NUM
cana-2863	206	8	0.1881	0.1881	NUM
cana-2863	206	9	0.0156	0.0156	NUM
cana-2863	206	10	0.0236	0.0236	NUM
cana-2863	206	11	0.2789	0.2789	NUM
cana-2863	206	12	6	6	NUM
cana-2863	206	13	10	10	NUM
cana-2863	206	14	0.7381	0.7381	NUM
cana-2863	206	15	0.0227	0.0227	NUM
cana-2863	206	16	0.2001	0.2001	NUM
cana-2863	206	17	0.0157	0.0157	NUM
cana-2863	206	18	0.0235	0.0235	NUM
cana-2863	206	19	0.2905	0.2905	NUM
cana-2863	206	20	15	15	NUM
cana-2863	206	21	0.7484	0.7484	NUM
cana-2863	206	22	0.0213	0.0213	NUM
cana-2863	206	23	0.1923	0.1923	NUM
cana-2863	206	24	0.0144	0.0144	NUM
cana-2863	206	25	0.0236	0.0236	NUM
cana-2863	206	26	0.2817	0.2817	NUM
cana-2863	206	27	20	20	NUM
cana-2863	206	28	0.7536	0.7536	NUM
cana-2863	206	29	0.0206	0.0206	NUM
cana-2863	206	30	0.1883	0.1883	NUM
cana-2863	206	31	0.0139	0.0139	NUM
cana-2863	206	32	0.0236	0.0236	NUM
cana-2863	206	33	0.2773	0.2773	NUM
cana-2863	206	34	9	9	NUM
cana-2863	206	35	10	10	NUM
cana-2863	206	36	0.7393	0.7393	NUM
cana-2863	206	37	0.0225	0.0225	NUM
cana-2863	206	38	0.2003	0.2003	NUM
cana-2863	206	39	0.0144	0.0144	NUM
cana-2863	206	40	0.0235	0.0235	NUM
cana-2863	206	41	0.2895	0.2895	NUM
cana-2863	206	42	15	15	NUM
cana-2863	206	43	0.7492	0.7492	NUM
cana-2863	206	44	0.0212	0.0212	NUM
cana-2863	206	45	0.1924	0.1924	NUM
cana-2863	206	46	0.0137	0.0137	NUM
cana-2863	206	47	0.0236	0.0236	NUM
cana-2863	206	48	0.2810	0.2810	NUM
cana-2863	206	49	20	20	NUM
cana-2863	206	50	0.7542	0.7542	NUM
cana-2863	206	51	0.0206	0.0206	NUM
cana-2863	206	52	0.1883	0.1883	NUM
cana-2863	206	53	0.0133	0.0133	NUM
cana-2863	206	54	0.0237	0.0237	NUM
cana-2863	206	55	0.2768	0.2768	NUM
cana-2863	206	56	1	1	NUM
cana-2863	206	57	3	3	NUM
cana-2863	206	58	10	10	NUM
cana-2863	206	59	0.7327	0.7327	NUM
cana-2863	206	60	0.0234	0.0234	NUM
cana-2863	206	61	0.1998	0.1998	NUM
cana-2863	206	62	0.0207	0.0207	NUM
cana-2863	206	63	0.0234	0.0234	NUM
cana-2863	206	64	0.2953	0.2953	NUM
cana-2863	206	65	15	15	NUM
cana-2863	206	66	0.7448	0.7448	NUM
cana-2863	206	67	0.0218	0.0218	NUM
cana-2863	206	68	0.1921	0.1921	NUM
cana-2863	206	69	0.0179	0.0179	NUM
cana-2863	206	70	0.0236	0.0236	NUM
cana-2863	206	71	0.2850	0.2850	NUM
cana-2863	206	72	20	20	NUM
cana-2863	206	73	0.7508	0.7508	NUM
cana-2863	206	74	0.0210	0.0210	NUM
cana-2863	206	75	0.1880	0.1880	NUM
cana-2863	206	76	0.0165	0.0165	NUM
cana-2863	206	77	0.0236	0.0236	NUM
cana-2863	206	78	0.2797	0.2797	NUM
cana-2863	206	79	6	6	NUM
cana-2863	206	80	10	10	NUM
cana-2863	206	81	0.7372	0.7372	NUM
cana-2863	206	82	0.0228	0.0228	NUM
cana-2863	206	83	0.2001	0.2001	NUM
cana-2863	206	84	0.0165	0.0165	NUM
cana-2863	206	85	0.0235	0.0235	NUM
cana-2863	206	86	0.2913	0.2913	NUM
cana-2863	206	87	15	15	NUM
cana-2863	206	88	0.7478	0.7478	NUM
cana-2863	206	89	0.0214	0.0214	NUM
cana-2863	206	90	0.1922	0.1922	NUM
cana-2863	206	91	0.0150	0.0150	NUM
cana-2863	206	92	0.0236	0.0236	NUM
cana-2863	206	93	0.2823	0.2823	NUM
cana-2863	206	94	20	20	NUM
cana-2863	206	95	0.7531	0.7531	NUM
cana-2863	206	96	0.0207	0.0207	NUM
cana-2863	206	97	0.1882	0.1882	NUM
cana-2863	206	98	0.0143	0.0143	NUM
cana-2863	206	99	0.0236	0.0236	NUM
cana-2863	206	100	0.2777	0.2777	NUM
cana-2863	206	101	9	9	NUM
cana-2863	206	102	10	10	NUM
cana-2863	206	103	0.7387	0.7387	NUM
cana-2863	207	1	0.0226	0.0226	NUM
cana-2863	207	2	0.2002	0.2002	NUM
cana-2863	207	3	0.0150	0.0150	NUM
cana-2863	207	4	0.0235	0.0235	NUM
cana-2863	207	5	0.2900	0.2900	NUM
cana-2863	207	6	15	15	NUM
cana-2863	207	7	0.7488	0.7488	NUM
cana-2863	207	8	0.0213	0.0213	NUM
cana-2863	207	9	0.1923	0.1923	NUM
cana-2863	207	10	0.0140	0.0140	NUM
cana-2863	207	11	0.0236	0.0236	NUM
cana-2863	207	12	0.2814	0.2814	NUM
cana-2863	207	13	20	20	NUM
cana-2863	207	14	0.7539	0.7539	NUM
cana-2863	207	15	0.0206	0.0206	NUM
cana-2863	207	16	0.1883	0.1883	NUM
cana-2863	207	17	0.0136	0.0136	NUM
cana-2863	207	18	0.0236	0.0236	NUM
cana-2863	207	19	0.2770	0.2770	NUM
cana-2863	207	20	table	table	NOUN
cana-2863	207	21	1	1	NUM
cana-2863	207	22	system	system	NOUN
cana-2863	207	23	measures	measure	NOUN
cana-2863	207	24	by	by	ADP
cana-2863	207	25	varying	vary	VERB
cana-2863	207	26			NUM
cana-2863	207	27	,	,	PUNCT
cana-2863	207	28	and	and	CCONJ
cana-2863	207	29			NOUN
cana-2863	207	30	table	table	NOUN
cana-2863	207	31	1	1	NUM
cana-2863	207	32	shows	show	VERB
cana-2863	207	33	the	the	DET
cana-2863	207	34	effect	effect	NOUN
cana-2863	207	35	of	of	ADP
cana-2863	207	36			PROPN
cana-2863	207	37	,	,	PUNCT
cana-2863	207	38	,	,	PUNCT
cana-2863	207	39	on	on	ADP
cana-2863	207	40	the	the	DET
cana-2863	207	41	performance	performance	NOUN
cana-2863	207	42	measures	measure	NOUN
cana-2863	207	43	v	v	ADP
cana-2863	207	44	,	,	PUNCT
cana-2863	207	45	f	f	PROPN
cana-2863	207	46	,	,	PUNCT
cana-2863	207	47	r	r	NOUN
cana-2863	207	48	,	,	PUNCT
cana-2863	207	49	e	e	NOUN
cana-2863	207	50	,	,	PUNCT
cana-2863	207	51	e0	e0	PROPN
cana-2863	207	52	and	and	CCONJ
cana-2863	207	53	sl	sl	INTJ
cana-2863	207	54	.	.	PUNCT
cana-2863	208	1	it	it	PRON
cana-2863	208	2	is	be	AUX
cana-2863	208	3	clearly	clearly	ADV
cana-2863	208	4	observed	observe	VERB
cana-2863	208	5	that	that	SCONJ
cana-2863	208	6	•	•	NOUN
cana-2863	208	7	0e	0e	X
cana-2863	208	8	increases	increase	NOUN
cana-2863	208	9	with	with	ADP
cana-2863	208	10	increase	increase	NOUN
cana-2863	208	11	in	in	ADP
cana-2863	208	12			NOUN
cana-2863	208	13	and	and	CCONJ
cana-2863	208	14			NOUN
cana-2863	208	15	and	and	CCONJ
cana-2863	208	16	decreases	decrease	VERB
cana-2863	208	17	with	with	ADP
cana-2863	208	18	increase	increase	NOUN
cana-2863	208	19	in	in	ADP
cana-2863	208	20	.	.	PROPN
cana-2863	209	1	•	•	NOUN
cana-2863	209	2	e	e	NOUN
cana-2863	209	3	and	and	CCONJ
cana-2863	209	4	sl	sl	VERB
cana-2863	209	5	increases	increase	NOUN
cana-2863	209	6	with	with	ADP
cana-2863	209	7	increase	increase	NOUN
cana-2863	209	8	in	in	ADP
cana-2863	209	9			NOUN
cana-2863	209	10	and	and	CCONJ
cana-2863	209	11	decreases	decrease	VERB
cana-2863	209	12	with	with	ADP
cana-2863	209	13	increase	increase	NOUN
cana-2863	209	14	in	in	ADP
cana-2863	209	15			NOUN
cana-2863	209	16	and	and	CCONJ
cana-2863	209	17	.	.	NUM
cana-2863	209	18	•	•	NOUN
cana-2863	210	1	r	r	NOUN
cana-2863	210	2	decreases	decrease	NOUN
cana-2863	210	3	with	with	ADP
cana-2863	210	4	increase	increase	NOUN
cana-2863	210	5	in	in	ADP
cana-2863	210	6			PROPN
cana-2863	210	7	and	and	CCONJ
cana-2863	210	8			NOUN
cana-2863	210	9	and	and	CCONJ
cana-2863	210	10	increases	increase	NOUN
cana-2863	210	11	with	with	ADP
cana-2863	210	12	increase	increase	NOUN
cana-2863	210	13	in	in	ADP
cana-2863	210	14	.	.	PROPN
cana-2863	210	15	•	•	PROPN
cana-2863	210	16	f	f	PROPN
cana-2863	210	17	increases	increase	VERB
cana-2863	210	18	with	with	ADP
cana-2863	210	19	increase	increase	NOUN
cana-2863	210	20	in	in	ADP
cana-2863	210	21			NOUN
cana-2863	210	22	and	and	CCONJ
cana-2863	210	23	decreases	decrease	VERB
cana-2863	210	24	with	with	ADP
cana-2863	210	25	increase	increase	NOUN
cana-2863	210	26	in	in	ADP
cana-2863	210	27			NOUN
cana-2863	210	28	and	and	CCONJ
cana-2863	210	29	.	.	NUM
cana-2863	210	30	•	•	NUM
cana-2863	210	31	v	v	NOUN
cana-2863	210	32	increases	increase	NOUN
cana-2863	210	33	with	with	ADP
cana-2863	210	34	increase	increase	NOUN
cana-2863	210	35	in	in	ADP
cana-2863	210	36	,	,	PUNCT
cana-2863	210	37			NOUN
cana-2863	210	38	decreases	decrease	VERB
cana-2863	210	39	with	with	ADP
cana-2863	210	40	increase	increase	NOUN
cana-2863	210	41	in	in	ADP
cana-2863	210	42			NOUN
cana-2863	210	43	and	and	CCONJ
cana-2863	210	44	independent	independent	ADJ
cana-2863	210	45	of	of	ADP
cana-2863	210	46	.	.	PROPN
cana-2863	210	47	influence	influence	NOUN
cana-2863	210	48	of	of	ADP
cana-2863	210	49	parameters	parameter	NOUN
cana-2863	210	50			NOUN
cana-2863	210	51	and	and	CCONJ
cana-2863	210	52			NUM
cana-2863	210	53	on	on	ADP
cana-2863	210	54	e	e	NOUN
cana-2863	210	55	,	,	PUNCT
cana-2863	210	56	e0	e0	PROPN
cana-2863	210	57	and	and	CCONJ
cana-2863	210	58	sl	sl	PROPN
cana-2863	210	59	are	be	AUX
cana-2863	210	60	presented	present	VERB
cana-2863	210	61	in	in	ADP
cana-2863	210	62	figures	figure	NOUN
cana-2863	210	63	1.1	1.1	NUM
cana-2863	210	64	to	to	PART
cana-2863	210	65	1.3	1.3	NUM
cana-2863	210	66	.	.	PUNCT
cana-2863	211	1	0e	0e	PROPN
cana-2863	211	2	decreases	decrease	VERB
cana-2863	211	3	with	with	ADP
cana-2863	211	4	increase	increase	NOUN
cana-2863	211	5	in	in	ADP
cana-2863	211	6			NOUN
cana-2863	211	7	and	and	CCONJ
cana-2863	211	8	increases	increase	VERB
cana-2863	211	9	with	with	ADP
cana-2863	211	10	increase	increase	NOUN
cana-2863	211	11	in	in	ADP
cana-2863	211	12	.	.	PROPN
cana-2863	211	13	e	e	NOUN
cana-2863	211	14	increases	increase	VERB
cana-2863	211	15	with	with	ADP
cana-2863	211	16	increase	increase	NOUN
cana-2863	211	17	in	in	ADP
cana-2863	211	18			NOUN
cana-2863	211	19	and	and	CCONJ
cana-2863	211	20	decreases	decrease	VERB
cana-2863	211	21	with	with	ADP
cana-2863	211	22	increase	increase	NOUN
cana-2863	211	23	in	in	ADP
cana-2863	211	24	.	.	PROPN
cana-2863	211	25	sl	sl	PROPN
cana-2863	211	26	increases	increase	NOUN
cana-2863	211	27	for	for	ADP
cana-2863	211	28	both	both	CCONJ
cana-2863	211	29	the	the	DET
cana-2863	211	30	increasing	increase	VERB
cana-2863	211	31	values	value	NOUN
cana-2863	211	32	of	of	ADP
cana-2863	211	33			NOUN
cana-2863	211	34	and	and	CCONJ
cana-2863	211	35	.	.	PROPN
cana-2863	211	36	communications	communication	NOUN
cana-2863	211	37	on	on	ADP
cana-2863	211	38	applied	apply	VERB
cana-2863	211	39	nonlinear	nonlinear	ADJ
cana-2863	211	40	analysis	analysis	NOUN
cana-2863	211	41	issn	issn	NOUN
cana-2863	211	42	:	:	PUNCT
cana-2863	211	43	1074	1074	NUM
cana-2863	211	44	-	-	PUNCT
cana-2863	211	45	133x	133x	NUM
cana-2863	211	46	vol	vol	NOUN
cana-2863	211	47	32	32	NUM
cana-2863	212	1	no	no	NOUN
cana-2863	212	2	.	.	PUNCT
cana-2863	213	1	4s	4s	NUM
cana-2863	213	2	(	(	PUNCT
cana-2863	213	3	2025	2025	NUM
cana-2863	213	4	)	)	PUNCT
cana-2863	213	5	457	457	NUM
cana-2863	214	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	214	2	figure	figure	NOUN
cana-2863	214	3	1.1	1.1	NUM
cana-2863	214	4	effects	effect	NOUN
cana-2863	214	5	of	of	ADP
cana-2863	214	6	)	)	PUNCT
cana-2863	214	7	,	,	PUNCT
cana-2863	214	8	(	(	PUNCT
cana-2863	214	9			NUM
cana-2863	214	10	on	on	ADP
cana-2863	214	11	0e	0e	NUM
cana-2863	214	12	figure	figure	NOUN
cana-2863	214	13	1.2	1.2	NUM
cana-2863	214	14	effects	effect	NOUN
cana-2863	214	15	of	of	ADP
cana-2863	214	16	)	)	PUNCT
cana-2863	214	17	,	,	PUNCT
cana-2863	214	18	(	(	PUNCT
cana-2863	214	19			AUX
cana-2863	214	20	on	on	ADP
cana-2863	214	21	e	e	PART
cana-2863	214	22	figure	figure	VERB
cana-2863	214	23	1.3	1.3	NUM
cana-2863	214	24	effects	effect	NOUN
cana-2863	214	25	of	of	ADP
cana-2863	214	26	)	)	PUNCT
cana-2863	214	27	,	,	PUNCT
cana-2863	214	28	(	(	PUNCT
cana-2863	214	29			NUM
cana-2863	214	30	on	on	ADP
cana-2863	214	31	sl	sl	INTJ
cana-2863	214	32	the	the	DET
cana-2863	214	33	effect	effect	NOUN
cana-2863	214	34	of	of	ADP
cana-2863	214	35	parameters	parameter	NOUN
cana-2863	214	36	1	1	PROPN
cana-2863	214	37	and	and	CCONJ
cana-2863	214	38	1	1	PROPN
cana-2863	214	39	on	on	ADP
cana-2863	214	40	the	the	DET
cana-2863	214	41	system	system	NOUN
cana-2863	214	42	measures	measure	NOUN
cana-2863	214	43	are	be	AUX
cana-2863	214	44	given	give	VERB
cana-2863	214	45	in	in	ADP
cana-2863	214	46	figures	figure	NOUN
cana-2863	214	47	1.4	1.4	NUM
cana-2863	214	48	to	to	PART
cana-2863	214	49	1.6	1.6	NUM
cana-2863	214	50	.	.	PUNCT
cana-2863	215	1	0e	0e	PROPN
cana-2863	215	2	decreases	decrease	VERB
cana-2863	215	3	with	with	ADP
cana-2863	215	4	increase	increase	NOUN
cana-2863	215	5	in	in	ADP
cana-2863	215	6	1	1	NUM
cana-2863	215	7	and	and	CCONJ
cana-2863	215	8	increases	increase	NOUN
cana-2863	215	9	with	with	ADP
cana-2863	215	10	increase	increase	NOUN
cana-2863	215	11	in	in	ADP
cana-2863	215	12	.1	.1	PROPN
cana-2863	215	13	e	e	NOUN
cana-2863	215	14	increases	increase	VERB
cana-2863	215	15	with	with	ADP
cana-2863	215	16	increase	increase	NOUN
cana-2863	215	17	in	in	ADP
cana-2863	215	18	1	1	PROPN
cana-2863	215	19	and	and	CCONJ
cana-2863	215	20	decreases	decrease	VERB
cana-2863	215	21	with	with	ADP
cana-2863	215	22	increase	increase	NOUN
cana-2863	215	23	in	in	ADP
cana-2863	215	24	.1	.1	PROPN
cana-2863	215	25	sl	sl	NOUN
cana-2863	215	26	increases	increase	NOUN
cana-2863	215	27	with	with	ADP
cana-2863	215	28	increase	increase	NOUN
cana-2863	215	29	in	in	ADP
cana-2863	215	30	1	1	PROPN
cana-2863	215	31	and	and	CCONJ
cana-2863	215	32	decreases	decrease	VERB
cana-2863	215	33	with	with	ADP
cana-2863	215	34	increase	increase	NOUN
cana-2863	215	35	in	in	ADP
cana-2863	215	36	.1	.1	PROPN
cana-2863	215	37	figure	figure	NOUN
cana-2863	215	38	1.4	1.4	NUM
cana-2863	215	39	effects	effect	NOUN
cana-2863	215	40	of	of	ADP
cana-2863	215	41	)	)	PUNCT
cana-2863	215	42	,	,	PUNCT
cana-2863	215	43	(	(	PUNCT
cana-2863	215	44	11	11	NUM
cana-2863	215	45			ADV
cana-2863	215	46	on	on	ADP
cana-2863	215	47	0e	0e	NOUN
cana-2863	215	48	figure	figure	NOUN
cana-2863	215	49	1.5	1.5	NUM
cana-2863	215	50	effects	effect	NOUN
cana-2863	215	51	of	of	ADP
cana-2863	215	52	)	)	PUNCT
cana-2863	215	53	,	,	PUNCT
cana-2863	215	54	(	(	PUNCT
cana-2863	215	55	11	11	NUM
cana-2863	215	56			ADV
cana-2863	215	57	on	on	ADP
cana-2863	215	58	e	e	X
cana-2863	215	59	figure	figure	VERB
cana-2863	215	60	1.6	1.6	NUM
cana-2863	215	61	effects	effect	NOUN
cana-2863	215	62	of	of	ADP
cana-2863	215	63	)	)	PUNCT
cana-2863	215	64	,	,	PUNCT
cana-2863	215	65	(	(	PUNCT
cana-2863	215	66	11	11	NUM
cana-2863	215	67			ADV
cana-2863	215	68	on	on	ADP
cana-2863	215	69	sl	sl	PROPN
cana-2863	215	70	communications	communication	NOUN
cana-2863	215	71	on	on	ADP
cana-2863	215	72	applied	apply	VERB
cana-2863	215	73	nonlinear	nonlinear	ADJ
cana-2863	215	74	analysis	analysis	NOUN
cana-2863	215	75	issn	issn	NOUN
cana-2863	215	76	:	:	PUNCT
cana-2863	215	77	1074	1074	NUM
cana-2863	215	78	-	-	PUNCT
cana-2863	215	79	133x	133x	NUM
cana-2863	215	80	vol	vol	NOUN
cana-2863	215	81	32	32	NUM
cana-2863	215	82	no	no	NOUN
cana-2863	215	83	.	.	PUNCT
cana-2863	216	1	4s	4s	NUM
cana-2863	216	2	(	(	PUNCT
cana-2863	216	3	2025	2025	NUM
cana-2863	216	4	)	)	PUNCT
cana-2863	216	5	458	458	NUM
cana-2863	216	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-2863	216	7	4	4	X
cana-2863	216	8	.	.	PUNCT
cana-2863	216	9	conclusion	conclusion	NOUN
cana-2863	216	10	in	in	ADP
cana-2863	216	11	this	this	DET
cana-2863	216	12	article	article	NOUN
cana-2863	216	13	,	,	PUNCT
cana-2863	216	14	batch	batch	NOUN
cana-2863	216	15	arrival	arrival	NOUN
cana-2863	216	16	retrial	retrial	NOUN
cana-2863	216	17	queueing	queue	VERB
cana-2863	216	18	system	system	NOUN
cana-2863	216	19	with	with	ADP
cana-2863	216	20	essential	essential	ADJ
cana-2863	216	21	and	and	CCONJ
cana-2863	216	22	optional	optional	ADJ
cana-2863	216	23	phases	phase	NOUN
cana-2863	216	24	of	of	ADP
cana-2863	216	25	service	service	NOUN
cana-2863	216	26	,	,	PUNCT
cana-2863	216	27	customer	customer	NOUN
cana-2863	216	28	impatience	impatience	NOUN
cana-2863	216	29	,	,	PUNCT
cana-2863	216	30	breakdown	breakdown	ADJ
cana-2863	216	31	,	,	PUNCT
cana-2863	216	32	feedback	feedback	NOUN
cana-2863	216	33	mechanism	mechanism	NOUN
cana-2863	216	34	,	,	PUNCT
cana-2863	216	35	bernoulli	bernoulli	NOUN
cana-2863	216	36	vacation	vacation	NOUN
cana-2863	216	37	and	and	CCONJ
cana-2863	216	38	customer	customer	NOUN
cana-2863	216	39	search	search	NOUN
cana-2863	216	40	behavior	behavior	NOUN
cana-2863	216	41	are	be	AUX
cana-2863	216	42	discussed	discuss	VERB
cana-2863	216	43	.	.	PUNCT
cana-2863	217	1	performance	performance	NOUN
cana-2863	217	2	measures	measure	NOUN
cana-2863	217	3	like	like	ADP
cana-2863	217	4	the	the	DET
cana-2863	217	5	probability	probability	NOUN
cana-2863	217	6	that	that	SCONJ
cana-2863	217	7	the	the	DET
cana-2863	217	8	server	server	NOUN
cana-2863	217	9	is	be	AUX
cana-2863	217	10	idle	idle	ADJ
cana-2863	217	11	,	,	PUNCT
cana-2863	217	12	busy	busy	ADJ
cana-2863	217	13	,	,	PUNCT
cana-2863	217	14	repair	repair	VERB
cana-2863	217	15	in	in	ADP
cana-2863	217	16	all	all	DET
cana-2863	217	17	three	three	NUM
cana-2863	217	18	phases	phase	NOUN
cana-2863	217	19	of	of	ADP
cana-2863	217	20	service	service	NOUN
cana-2863	217	21	and	and	CCONJ
cana-2863	217	22	the	the	DET
cana-2863	217	23	server	server	NOUN
cana-2863	217	24	is	be	AUX
cana-2863	217	25	on	on	ADP
cana-2863	217	26	vacation	vacation	NOUN
cana-2863	217	27	are	be	AUX
cana-2863	217	28	derived	derive	VERB
cana-2863	217	29	.	.	PUNCT
cana-2863	218	1	the	the	DET
cana-2863	218	2	expected	expect	VERB
cana-2863	218	3	sizes	size	NOUN
cana-2863	218	4	retrial	retrial	ADJ
cana-2863	218	5	group	group	NOUN
cana-2863	218	6	and	and	CCONJ
cana-2863	218	7	the	the	DET
cana-2863	218	8	system	system	NOUN
cana-2863	218	9	are	be	AUX
cana-2863	218	10	derived	derive	VERB
cana-2863	218	11	.	.	PUNCT
cana-2863	219	1	reliability	reliability	NOUN
cana-2863	219	2	measures	measure	NOUN
cana-2863	219	3	such	such	ADJ
cana-2863	219	4	as	as	ADP
cana-2863	219	5	availability	availability	NOUN
cana-2863	219	6	and	and	CCONJ
cana-2863	219	7	failure	failure	NOUN
cana-2863	219	8	frequency	frequency	NOUN
cana-2863	219	9	are	be	AUX
cana-2863	219	10	also	also	ADV
cana-2863	219	11	obtained	obtain	VERB
cana-2863	219	12	.	.	PUNCT
cana-2863	220	1	the	the	DET
cana-2863	220	2	present	present	ADJ
cana-2863	220	3	investigation	investigation	NOUN
cana-2863	220	4	can	can	AUX
cana-2863	220	5	be	be	AUX
cana-2863	220	6	further	far	ADV
cana-2863	220	7	extended	extend	VERB
cana-2863	220	8	to	to	PART
cana-2863	220	9	cost	cost	VERB
cana-2863	220	10	optimization	optimization	NOUN
cana-2863	220	11	.	.	PUNCT
cana-2863	221	1	references	reference	NOUN
cana-2863	221	2	[	[	X
cana-2863	221	3	1	1	NUM
cana-2863	221	4	]	]	PUNCT
cana-2863	221	5	arrar	arrar	NOUN
cana-2863	221	6	,	,	PUNCT
cana-2863	221	7	n.k	n.k	PROPN
cana-2863	221	8	.	.	PROPN
cana-2863	221	9	,	,	PUNCT
cana-2863	221	10	djellab	djellab	PROPN
cana-2863	221	11	,	,	PUNCT
cana-2863	221	12	n.v	n.v	PROPN
cana-2863	221	13	.	.	PROPN
cana-2863	221	14	,	,	PUNCT
cana-2863	221	15	&	&	CCONJ
cana-2863	221	16	baillon	baillon	PROPN
cana-2863	221	17	,	,	PUNCT
cana-2863	221	18	j.	j.	PROPN
cana-2863	221	19	(	(	PUNCT
cana-2863	221	20	2012	2012	NUM
cana-2863	221	21	)	)	PUNCT
cana-2863	221	22	.	.	PUNCT
cana-2863	222	1	on	on	ADP
cana-2863	222	2	the	the	DET
cana-2863	222	3	asymptotic	asymptotic	ADJ
cana-2863	222	4	behaviour	behaviour	NOUN
cana-2863	222	5	of	of	ADP
cana-2863	222	6	m	m	PROPN
cana-2863	222	7	/	/	SYM
cana-2863	222	8	g/1	g/1	NOUN
cana-2863	222	9	retrial	retrial	NOUN
cana-2863	222	10	queues	queue	NOUN
cana-2863	222	11	with	with	ADP
cana-2863	222	12	batch	batch	NOUN
cana-2863	222	13	arrivals	arrival	NOUN
cana-2863	222	14	and	and	CCONJ
cana-2863	222	15	impatience	impatience	NOUN
cana-2863	222	16	phenomenon	phenomenon	NOUN
cana-2863	222	17	.	.	PUNCT
cana-2863	223	1	math	math	NOUN
cana-2863	223	2	.	.	PUNCT
cana-2863	224	1	comput	comput	PROPN
cana-2863	224	2	.	.	PUNCT
cana-2863	225	1	model	model	PROPN
cana-2863	225	2	.	.	PUNCT
cana-2863	225	3	,	,	PUNCT
cana-2863	225	4	55	55	NUM
cana-2863	225	5	,	,	PUNCT
cana-2863	225	6	654	654	NUM
cana-2863	225	7	-	-	SYM
cana-2863	225	8	665	665	NUM
cana-2863	225	9	.	.	PUNCT
cana-2863	226	1	[	[	X
cana-2863	226	2	2	2	NUM
cana-2863	226	3	]	]	PUNCT
cana-2863	226	4	d’arienzo	d’arienzo	NOUN
cana-2863	226	5	,	,	PUNCT
cana-2863	226	6	m.p	m.p	PROPN
cana-2863	226	7	.	.	PROPN
cana-2863	226	8	,	,	PUNCT
cana-2863	226	9	dudin	dudin	PROPN
cana-2863	226	10	,	,	PUNCT
cana-2863	226	11	a.n	a.n	PROPN
cana-2863	226	12	.	.	PROPN
cana-2863	226	13	,	,	PUNCT
cana-2863	226	14	dudin	dudin	PROPN
cana-2863	226	15	,	,	PUNCT
cana-2863	226	16	s.a	s.a	PROPN
cana-2863	226	17	.	.	PROPN
cana-2863	226	18	,	,	PUNCT
cana-2863	226	19	&	&	CCONJ
cana-2863	226	20	manzo	manzo	PROPN
cana-2863	226	21	,	,	PUNCT
cana-2863	226	22	r.	r.	PROPN
cana-2863	226	23	(	(	PUNCT
cana-2863	226	24	2020	2020	NUM
cana-2863	226	25	)	)	PUNCT
cana-2863	226	26	.	.	PUNCT
cana-2863	227	1	analysis	analysis	NOUN
cana-2863	227	2	of	of	ADP
cana-2863	227	3	a	a	DET
cana-2863	227	4	retrial	retrial	ADJ
cana-2863	227	5	queue	queue	NOUN
cana-2863	227	6	with	with	ADP
cana-2863	227	7	group	group	NOUN
cana-2863	227	8	service	service	NOUN
cana-2863	227	9	of	of	ADP
cana-2863	227	10	impatient	impatient	ADJ
cana-2863	227	11	customers	customer	NOUN
cana-2863	227	12	.	.	PUNCT
cana-2863	228	1	journal	journal	PROPN
cana-2863	228	2	of	of	ADP
cana-2863	228	3	ambient	ambient	ADJ
cana-2863	228	4	intelligence	intelligence	NOUN
cana-2863	228	5	and	and	CCONJ
cana-2863	228	6	humanized	humanize	VERB
cana-2863	228	7	computing	computing	NOUN
cana-2863	228	8	,	,	PUNCT
cana-2863	228	9	11	11	NUM
cana-2863	228	10	,	,	PUNCT
cana-2863	228	11	2591	2591	NUM
cana-2863	228	12	-	-	SYM
cana-2863	228	13	2599	2599	NUM
cana-2863	228	14	.	.	PUNCT
cana-2863	229	1	[	[	X
cana-2863	229	2	3	3	NUM
cana-2863	229	3	]	]	X
cana-2863	229	4	djellab	djellab	NOUN
cana-2863	229	5	,	,	PUNCT
cana-2863	229	6	n.	n.	PROPN
cana-2863	229	7	v.	v.	PROPN
cana-2863	229	8	(	(	PUNCT
cana-2863	229	9	2002	2002	NUM
cana-2863	229	10	)	)	PUNCT
cana-2863	229	11	.	.	PUNCT
cana-2863	230	1	on	on	ADP
cana-2863	230	2	the	the	DET
cana-2863	230	3	m	m	PROPN
cana-2863	230	4	/	/	SYM
cana-2863	230	5	g/1	g/1	NOUN
cana-2863	230	6	retrial	retrial	ADJ
cana-2863	230	7	queue	queue	NOUN
cana-2863	230	8	subjected	subject	VERB
cana-2863	230	9	to	to	ADP
cana-2863	230	10	breakdowns	breakdown	NOUN
cana-2863	230	11	.	.	PUNCT
cana-2863	231	1	rairo	rairo	NOUN
cana-2863	231	2	-	-	PUNCT
cana-2863	231	3	operations	operation	NOUN
cana-2863	231	4	research	research	NOUN
cana-2863	231	5	,	,	PUNCT
cana-2863	231	6	36(4	36(4	NUM
cana-2863	231	7	)	)	PUNCT
cana-2863	231	8	,	,	PUNCT
cana-2863	231	9	299	299	NUM
cana-2863	231	10	-	-	SYM
cana-2863	231	11	310	310	NUM
cana-2863	231	12	.	.	PUNCT
cana-2863	232	1	[	[	X
cana-2863	232	2	4	4	NUM
cana-2863	232	3	]	]	X
cana-2863	232	4	krishnamoorthy	krishnamoorthy	ADJ
cana-2863	232	5	,	,	PUNCT
cana-2863	232	6	a.	a.	PROPN
cana-2863	232	7	,	,	PUNCT
cana-2863	232	8	deepak	deepak	PROPN
cana-2863	232	9	,	,	PUNCT
cana-2863	232	10	t.	t.	PROPN
cana-2863	232	11	g.	g.	PROPN
cana-2863	232	12	,	,	PUNCT
cana-2863	232	13	&	&	CCONJ
cana-2863	232	14	joshua	joshua	PROPN
cana-2863	232	15	,	,	PUNCT
cana-2863	232	16	v.	v.	PROPN
cana-2863	232	17	c.	c.	PROPN
cana-2863	232	18	(	(	PUNCT
cana-2863	232	19	2005	2005	NUM
cana-2863	232	20	)	)	PUNCT
cana-2863	232	21	.	.	PUNCT
cana-2863	233	1	an	an	DET
cana-2863	233	2	m|	m|	PROPN
cana-2863	233	3	g|	g|	PROPN
cana-2863	233	4	1	1	NUM
cana-2863	233	5	retrial	retrial	ADJ
cana-2863	233	6	queue	queue	NOUN
cana-2863	233	7	with	with	ADP
cana-2863	233	8	nonpersistent	nonpersistent	ADJ
cana-2863	233	9	customers	customer	NOUN
cana-2863	233	10	and	and	CCONJ
cana-2863	233	11	orbital	orbital	ADJ
cana-2863	233	12	search	search	NOUN
cana-2863	233	13	.	.	PUNCT
cana-2863	234	1	stochastic	stochastic	ADJ
cana-2863	234	2	analysis	analysis	NOUN
cana-2863	234	3	and	and	CCONJ
cana-2863	234	4	applications	application	NOUN
cana-2863	234	5	,	,	PUNCT
cana-2863	234	6	23(5	23(5	NUM
cana-2863	234	7	)	)	PUNCT
cana-2863	234	8	,	,	PUNCT
cana-2863	234	9	975	975	NUM
cana-2863	234	10	-	-	SYM
cana-2863	234	11	997	997	NUM
cana-2863	234	12	.	.	PUNCT
cana-2863	235	1	[	[	X
cana-2863	235	2	5	5	NUM
cana-2863	235	3	]	]	SYM
cana-2863	235	4	kuki	kuki	PROPN
cana-2863	235	5	,	,	PUNCT
cana-2863	235	6	a.	a.	PROPN
cana-2863	235	7	,	,	PUNCT
cana-2863	235	8	bérczes	bércze	NOUN
cana-2863	235	9	,	,	PUNCT
cana-2863	235	10	t.	t.	PROPN
cana-2863	235	11	,	,	PUNCT
cana-2863	235	12	tóth	tóth	PROPN
cana-2863	235	13	,	,	PUNCT
cana-2863	235	14	á	á	PROPN
cana-2863	235	15	.	.	PROPN
cana-2863	235	16	,	,	PUNCT
cana-2863	235	17	&	&	CCONJ
cana-2863	235	18	sztrik	sztrik	PROPN
cana-2863	235	19	,	,	PUNCT
cana-2863	235	20	j.	j.	PROPN
cana-2863	235	21	(	(	PUNCT
cana-2863	235	22	2020	2020	NUM
cana-2863	235	23	)	)	PUNCT
cana-2863	235	24	.	.	PUNCT
cana-2863	236	1	numerical	numerical	ADJ
cana-2863	236	2	analysis	analysis	NOUN
cana-2863	236	3	of	of	ADP
cana-2863	236	4	finite	finite	ADJ
cana-2863	236	5	source	source	NOUN
cana-2863	236	6	markov	markov	NOUN
cana-2863	236	7	retrial	retrial	NOUN
cana-2863	236	8	system	system	NOUN
cana-2863	236	9	with	with	ADP
cana-2863	236	10	non	non	ADJ
cana-2863	236	11	-	-	ADJ
cana-2863	236	12	reliable	reliable	ADJ
cana-2863	236	13	server	server	NOUN
cana-2863	236	14	,	,	PUNCT
cana-2863	236	15	collision	collision	NOUN
cana-2863	236	16	,	,	PUNCT
cana-2863	236	17	and	and	CCONJ
cana-2863	236	18	impatient	impatient	ADJ
cana-2863	236	19	customers	customer	NOUN
cana-2863	236	20	.	.	PUNCT
cana-2863	237	1	annales	annales	PROPN
cana-2863	237	2	mathematicae	mathematicae	PROPN
cana-2863	237	3	et	et	PROPN
cana-2863	237	4	informaticae	informaticae	PROPN
cana-2863	237	5	.	.	PUNCT
cana-2863	238	1	[	[	X
cana-2863	238	2	6	6	NUM
cana-2863	238	3	]	]	SYM
cana-2863	238	4	kumar	kumar	PROPN
cana-2863	238	5	,	,	PUNCT
cana-2863	238	6	m.	m.	NOUN
cana-2863	238	7	s.	s.	PROPN
cana-2863	238	8	,	,	PUNCT
cana-2863	238	9	&	&	CCONJ
cana-2863	238	10	arumuganathan	arumuganathan	PROPN
cana-2863	238	11	,	,	PUNCT
cana-2863	238	12	r.	r.	PROPN
cana-2863	238	13	(	(	PUNCT
cana-2863	238	14	2010	2010	NUM
cana-2863	238	15	)	)	PUNCT
cana-2863	238	16	.	.	PUNCT
cana-2863	239	1	an	an	DET
cana-2863	239	2	mx	mx	PROPN
cana-2863	239	3	/	/	SYM
cana-2863	239	4	g/1	g/1	NOUN
cana-2863	239	5	retrial	retrial	ADJ
cana-2863	239	6	queue	queue	NOUN
cana-2863	239	7	with	with	ADP
cana-2863	239	8	two	two	NUM
cana-2863	239	9	-	-	PUNCT
cana-2863	239	10	phase	phase	NOUN
cana-2863	239	11	service	service	NOUN
cana-2863	239	12	subject	subject	NOUN
cana-2863	239	13	to	to	ADP
cana-2863	239	14	active	active	ADJ
cana-2863	239	15	server	server	NOUN
cana-2863	239	16	breakdowns	breakdown	NOUN
cana-2863	239	17	and	and	CCONJ
cana-2863	239	18	two	two	NUM
cana-2863	239	19	types	type	NOUN
cana-2863	239	20	of	of	ADP
cana-2863	239	21	repair	repair	NOUN
cana-2863	239	22	.	.	PUNCT
cana-2863	240	1	international	international	ADJ
cana-2863	240	2	journal	journal	NOUN
cana-2863	240	3	of	of	ADP
cana-2863	240	4	operational	operational	ADJ
cana-2863	240	5	research	research	NOUN
cana-2863	240	6	,	,	PUNCT
cana-2863	240	7	8(3	8(3	NUM
cana-2863	240	8	)	)	PUNCT
cana-2863	240	9	,	,	PUNCT
cana-2863	240	10	261	261	NUM
cana-2863	240	11	-	-	SYM
cana-2863	240	12	291	291	NUM
cana-2863	240	13	.	.	PUNCT
cana-2863	241	1	[	[	X
cana-2863	241	2	7	7	NUM
cana-2863	241	3	]	]	X
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cana-2863	241	5	,	,	PUNCT
cana-2863	241	6	n.	n.	PROPN
cana-2863	241	7	g.	g.	PROPN
cana-2863	241	8	m.	m.	PROPN
cana-2863	241	9	,	,	PUNCT
cana-2863	241	10	&	&	CCONJ
cana-2863	241	11	indhira	indhira	PROPN
cana-2863	241	12	,	,	PUNCT
cana-2863	241	13	k.	k.	PROPN
cana-2863	241	14	(	(	PUNCT
cana-2863	241	15	2023	2023	NUM
cana-2863	241	16	)	)	PUNCT
cana-2863	241	17	.	.	PUNCT
cana-2863	242	1	a	a	DET
cana-2863	242	2	literature	literature	NOUN
cana-2863	242	3	review	review	NOUN
cana-2863	242	4	on	on	ADP
cana-2863	242	5	retrial	retrial	ADJ
cana-2863	242	6	queueing	queueing	NOUN
cana-2863	242	7	system	system	NOUN
cana-2863	242	8	with	with	ADP
cana-2863	242	9	bernoulli	bernoulli	PROPN
cana-2863	242	10	vacation	vacation	NOUN
cana-2863	242	11	.	.	PUNCT
cana-2863	243	1	yugoslav	yugoslav	ADJ
cana-2863	243	2	journal	journal	PROPN
cana-2863	243	3	of	of	ADP
cana-2863	243	4	operations	operation	NOUN
cana-2863	243	5	research	research	NOUN
cana-2863	243	6	,	,	PUNCT
cana-2863	243	7	34(1	34(1	NUM
cana-2863	243	8	)	)	PUNCT
cana-2863	243	9	,	,	PUNCT
cana-2863	243	10	109	109	NUM
cana-2863	243	11	-	-	SYM
cana-2863	243	12	134	134	NUM
cana-2863	243	13	.	.	PUNCT
cana-2863	244	1	[	[	X
cana-2863	244	2	8	8	NUM
cana-2863	244	3	]	]	X
cana-2863	244	4	murugan	murugan	PROPN
cana-2863	244	5	,	,	PUNCT
cana-2863	244	6	s.	s.	PROPN
cana-2863	244	7	p.	p.	PROPN
cana-2863	244	8	b.	b.	PROPN
cana-2863	244	9	,	,	PUNCT
cana-2863	244	10	&	&	CCONJ
cana-2863	244	11	vijaykrishnaraj	vijaykrishnaraj	PROPN
cana-2863	244	12	,	,	PUNCT
cana-2863	244	13	r.	r.	PROPN
cana-2863	244	14	(	(	PUNCT
cana-2863	244	15	2019	2019	NUM
cana-2863	244	16	,	,	PUNCT
cana-2863	244	17	december	december	PROPN
cana-2863	244	18	)	)	PUNCT
cana-2863	244	19	.	.	PUNCT
cana-2863	245	1	a	a	DET
cana-2863	245	2	bulk	bulk	ADJ
cana-2863	245	3	arrival	arrival	NOUN
cana-2863	245	4	retrial	retrial	ADJ
cana-2863	245	5	queue	queue	NOUN
cana-2863	245	6	with	with	ADP
cana-2863	245	7	orbital	orbital	ADJ
cana-2863	245	8	search	search	NOUN
cana-2863	245	9	and	and	CCONJ
cana-2863	245	10	exponentially	exponentially	ADV
cana-2863	245	11	distributed	distribute	VERB
cana-2863	245	12	multiple	multiple	ADJ
cana-2863	245	13	working	work	VERB
cana-2863	245	14	vacation	vacation	NOUN
cana-2863	245	15	.	.	PUNCT
cana-2863	246	1	in	in	ADP
cana-2863	246	2	aip	aip	PROPN
cana-2863	246	3	conference	conference	NOUN
cana-2863	246	4	proceedings	proceeding	NOUN
cana-2863	246	5	(	(	PUNCT
cana-2863	246	6	vol	vol	NOUN
cana-2863	246	7	.	.	PROPN
cana-2863	246	8	2177	2177	NUM
cana-2863	246	9	,	,	PUNCT
cana-2863	246	10	no	no	INTJ
cana-2863	246	11	.	.	NOUN
cana-2863	246	12	1	1	NUM
cana-2863	246	13	,	,	PUNCT
cana-2863	246	14	p.	p.	NOUN
cana-2863	246	15	020065	020065	NUM
cana-2863	246	16	)	)	PUNCT
cana-2863	246	17	.	.	PUNCT
cana-2863	247	1	aip	aip	PROPN
cana-2863	247	2	publishing	publishing	PROPN
cana-2863	247	3	llc	llc	PROPN
cana-2863	247	4	.	.	PUNCT
cana-2863	248	1	[	[	X
cana-2863	248	2	9	9	NUM
cana-2863	248	3	]	]	SYM
cana-2863	248	4	nila	nila	PROPN
cana-2863	248	5	,	,	PUNCT
cana-2863	248	6	m.	m.	NOUN
cana-2863	248	7	,	,	PUNCT
cana-2863	248	8	&	&	CCONJ
cana-2863	248	9	sumitha	sumitha	PROPN
cana-2863	248	10	,	,	PUNCT
cana-2863	248	11	d.	d.	PROPN
cana-2863	248	12	(	(	PUNCT
cana-2863	248	13	2021	2021	NUM
cana-2863	248	14	)	)	PUNCT
cana-2863	248	15	.	.	PUNCT
cana-2863	249	1	mx	mx	X
cana-2863	249	2	/	/	SYM
cana-2863	249	3	g/1	g/1	NOUN
cana-2863	249	4	retrial	retrial	NOUN
cana-2863	249	5	queueing	queue	VERB
cana-2863	249	6	model	model	NOUN
cana-2863	249	7	with	with	ADP
cana-2863	249	8	pre	pre	ADJ
cana-2863	249	9	-	-	ADJ
cana-2863	249	10	emptive	emptive	ADJ
cana-2863	249	11	resume	resume	NOUN
cana-2863	249	12	priority	priority	NOUN
cana-2863	249	13	,	,	PUNCT
cana-2863	249	14	multi	multi	X
cana-2863	249	15	optional	optional	ADJ
cana-2863	249	16	second	second	ADJ
cana-2863	249	17	phase	phase	NOUN
cana-2863	249	18	,	,	PUNCT
cana-2863	249	19	feedback	feedback	NOUN
cana-2863	249	20	and	and	CCONJ
cana-2863	249	21	orbital	orbital	ADJ
cana-2863	249	22	search	search	NOUN
cana-2863	249	23	.	.	PUNCT
cana-2863	250	1	international	international	ADJ
cana-2863	250	2	journal	journal	PROPN
cana-2863	250	3	of	of	ADP
cana-2863	250	4	scientific	scientific	PROPN
cana-2863	250	5	&	&	CCONJ
cana-2863	250	6	technology	technology	PROPN
cana-2863	250	7	research	research	NOUN
cana-2863	250	8	,	,	PUNCT
cana-2863	250	9	9	9	NUM
cana-2863	250	10	,	,	PUNCT
cana-2863	250	11	521	521	NUM
cana-2863	250	12	-	-	SYM
cana-2863	250	13	524	524	NUM
cana-2863	250	14	.	.	PUNCT
cana-2863	251	1	[	[	X
cana-2863	251	2	10	10	NUM
cana-2863	251	3	]	]	X
cana-2863	251	4	radha	radha	PROPN
cana-2863	251	5	,	,	PUNCT
cana-2863	251	6	j.	j.	PROPN
cana-2863	251	7	,	,	PUNCT
cana-2863	251	8	indhira	indhira	PROPN
cana-2863	251	9	,	,	PUNCT
cana-2863	251	10	k.	k.	PROPN
cana-2863	251	11	,	,	PUNCT
cana-2863	251	12	&	&	CCONJ
cana-2863	251	13	chandrasekaran	chandrasekaran	ADJ
cana-2863	251	14	,	,	PUNCT
cana-2863	251	15	v.m	v.m	PROPN
cana-2863	251	16	.	.	PUNCT
cana-2863	251	17	(	(	PUNCT
cana-2863	251	18	2017	2017	NUM
cana-2863	251	19	)	)	PUNCT
cana-2863	251	20	.	.	PUNCT
cana-2863	252	1	multi	multi	ADJ
cana-2863	252	2	stage	stage	NOUN
cana-2863	252	3	unreliable	unreliable	ADJ
cana-2863	252	4	retrial	retrial	NOUN
cana-2863	252	5	queueing	queue	VERB
cana-2863	252	6	system	system	NOUN
cana-2863	252	7	with	with	ADP
cana-2863	252	8	bernoulli	bernoulli	PROPN
cana-2863	252	9	vacation	vacation	NOUN
cana-2863	252	10	.	.	PUNCT
cana-2863	253	1	iop	iop	PROPN
cana-2863	253	2	conference	conference	PROPN
cana-2863	253	3	series	series	PROPN
cana-2863	253	4	:	:	PUNCT
cana-2863	253	5	materials	material	NOUN
cana-2863	253	6	science	science	NOUN
cana-2863	253	7	and	and	CCONJ
cana-2863	253	8	engineering	engineering	NOUN
cana-2863	253	9	,	,	PUNCT
cana-2863	253	10	263	263	NUM
cana-2863	253	11	.	.	PUNCT
cana-2863	254	1	[	[	X
cana-2863	254	2	11	11	NUM
cana-2863	254	3	]	]	PUNCT
cana-2863	254	4	sharma	sharma	NOUN
cana-2863	254	5	,	,	PUNCT
cana-2863	254	6	p.	p.	NOUN
cana-2863	254	7	(	(	PUNCT
cana-2863	254	8	2018	2018	NUM
cana-2863	254	9	)	)	PUNCT
cana-2863	254	10	.	.	PUNCT
cana-2863	255	1	m	m	PROPN
cana-2863	255	2	/	/	SYM
cana-2863	255	3	g/1	g/1	NOUN
cana-2863	255	4	retrial	retrial	NOUN
cana-2863	255	5	queueing	queue	VERB
cana-2863	255	6	system	system	NOUN
cana-2863	255	7	with	with	ADP
cana-2863	255	8	bernoulli	bernoulli	NOUN
cana-2863	255	9	feedback	feedback	NOUN
cana-2863	255	10	and	and	CCONJ
cana-2863	255	11	modified	modify	VERB
cana-2863	255	12	vacation	vacation	NOUN
cana-2863	255	13	.	.	PUNCT
cana-2863	256	1	international	international	ADJ
cana-2863	256	2	journal	journal	PROPN
cana-2863	256	3	of	of	ADP
cana-2863	256	4	mathematics	mathematics	NOUN
cana-2863	256	5	trends	trend	NOUN
cana-2863	256	6	and	and	CCONJ
cana-2863	256	7	technology	technology	NOUN
cana-2863	256	8	,	,	PUNCT
cana-2863	256	9	61(1	61(1	NOUN
cana-2863	256	10	)	)	PUNCT
cana-2863	256	11	,	,	PUNCT
cana-2863	256	12	10	10	NUM
cana-2863	256	13	-	-	SYM
cana-2863	256	14	21	21	NUM
cana-2863	256	15	.	.	PUNCT
cana-2863	257	1	[	[	X
cana-2863	257	2	12	12	NUM
cana-2863	257	3	]	]	X
cana-2863	257	4	singh	singh	PROPN
cana-2863	257	5	,	,	PUNCT
cana-2863	257	6	c.	c.	PROPN
cana-2863	257	7	j.	j.	PROPN
cana-2863	257	8	,	,	PUNCT
cana-2863	257	9	&	&	CCONJ
cana-2863	257	10	kaur	kaur	PROPN
cana-2863	257	11	,	,	PUNCT
cana-2863	257	12	s.	s.	PROPN
cana-2863	257	13	(	(	PUNCT
cana-2863	257	14	2017	2017	NUM
cana-2863	257	15	)	)	PUNCT
cana-2863	257	16	.	.	PUNCT
cana-2863	258	1	unreliable	unreliable	ADJ
cana-2863	258	2	server	server	NOUN
cana-2863	258	3	retrial	retrial	ADJ
cana-2863	258	4	queue	queue	NOUN
cana-2863	258	5	with	with	ADP
cana-2863	258	6	optional	optional	ADJ
cana-2863	258	7	service	service	NOUN
cana-2863	258	8	and	and	CCONJ
cana-2863	258	9	multi	multi	ADJ
cana-2863	258	10	-	-	ADJ
cana-2863	258	11	phase	phase	NOUN
cana-2863	258	12	repair	repair	NOUN
cana-2863	258	13	.	.	PUNCT
cana-2863	259	1	int	int	NOUN
cana-2863	259	2	.	.	PUNCT
cana-2863	260	1	j.	j.	PROPN
cana-2863	260	2	oper	oper	PROPN
cana-2863	260	3	.	.	PUNCT
cana-2863	260	4	res	re	NOUN
cana-2863	260	5	,	,	PUNCT
cana-2863	260	6	14(2	14(2	NUM
cana-2863	260	7	)	)	PUNCT
cana-2863	260	8	,	,	PUNCT
cana-2863	260	9	35	35	NUM
cana-2863	260	10	-	-	SYM
cana-2863	260	11	51	51	NUM
cana-2863	260	12	[	[	X
cana-2863	260	13	13	13	NUM
cana-2863	260	14	]	]	PUNCT
cana-2863	260	15	sumitha	sumitha	NOUN
cana-2863	260	16	,	,	PUNCT
cana-2863	260	17	d.	d.	PROPN
cana-2863	260	18	and	and	CCONJ
cana-2863	260	19	udaya	udaya	PROPN
cana-2863	260	20	chandrika	chandrika	PROPN
cana-2863	260	21	,	,	PUNCT
cana-2863	260	22	k.	k.	PROPN
cana-2863	260	23	(	(	PUNCT
cana-2863	260	24	2016	2016	NUM
cana-2863	260	25	)	)	PUNCT
cana-2863	260	26	,	,	PUNCT
cana-2863	260	27	retrial	retrial	ADJ
cana-2863	260	28	queue	queue	NOUN
cana-2863	260	29	with	with	ADP
cana-2863	260	30	impatient	impatient	ADJ
cana-2863	260	31	customers	customer	NOUN
cana-2863	260	32	,	,	PUNCT
cana-2863	260	33	multi	multi	X
cana-2863	260	34	optional	optional	ADJ
cana-2863	260	35	second	second	ADJ
cana-2863	260	36	phase	phase	NOUN
cana-2863	260	37	,	,	PUNCT
cana-2863	260	38	bernoulli	bernoulli	NOUN
cana-2863	260	39	vacation	vacation	NOUN
cana-2863	260	40	and	and	CCONJ
cana-2863	260	41	orbital	orbital	ADJ
cana-2863	260	42	search	search	NOUN
cana-2863	260	43	,	,	PUNCT
cana-2863	260	44	international	international	ADJ
cana-2863	260	45	journal	journal	NOUN
cana-2863	260	46	of	of	ADP
cana-2863	260	47	innovations	innovation	NOUN
cana-2863	260	48	in	in	ADP
cana-2863	260	49	engineering	engineering	NOUN
cana-2863	260	50	and	and	CCONJ
cana-2863	260	51	techonology	techonology	NOUN
cana-2863	260	52	,	,	PUNCT
cana-2863	260	53	7(2	7(2	NUM
cana-2863	260	54	)	)	PUNCT
cana-2863	260	55	,	,	PUNCT
cana-2863	260	56	299	299	NUM
cana-2863	260	57	-	-	SYM
cana-2863	260	58	309	309	NUM
cana-2863	260	59	.	.	PUNCT
cana-2863	261	1	[	[	X
cana-2863	261	2	14	14	NUM
cana-2863	261	3	]	]	X
cana-2863	261	4	sumitha	sumitha	PROPN
cana-2863	261	5	,	,	PUNCT
cana-2863	261	6	d.	d.	PROPN
cana-2863	261	7	,	,	PUNCT
cana-2863	261	8	&	&	CCONJ
cana-2863	261	9	udayachandrika	udayachandrika	PROPN
cana-2863	261	10	,	,	PUNCT
cana-2863	261	11	k.	k.	PROPN
cana-2863	261	12	(	(	PUNCT
cana-2863	261	13	2012	2012	NUM
cana-2863	261	14	)	)	PUNCT
cana-2863	261	15	.	.	PUNCT
cana-2863	262	1	performance	performance	NOUN
cana-2863	262	2	analysis	analysis	NOUN
cana-2863	262	3	of	of	ADP
cana-2863	262	4	repairable	repairable	ADJ
cana-2863	262	5	m	m	NOUN
cana-2863	262	6	/	/	SYM
cana-2863	262	7	g/1	g/1	NOUN
cana-2863	262	8	retrial	retrial	ADJ
cana-2863	262	9	queue	queue	NOUN
cana-2863	262	10	with	with	ADP
cana-2863	262	11	bernoulli	bernoulli	PROPN
cana-2863	262	12	vacation	vacation	NOUN
cana-2863	262	13	and	and	CCONJ
cana-2863	262	14	orbital	orbital	ADJ
cana-2863	262	15	search	search	NOUN
cana-2863	262	16	.	.	PUNCT
cana-2863	263	1	international	international	ADJ
cana-2863	263	2	journal	journal	PROPN
cana-2863	263	3	of	of	ADP
cana-2863	263	4	mathematical	mathematical	ADJ
cana-2863	263	5	archive	archive	NOUN
cana-2863	263	6	,	,	PUNCT
cana-2863	263	7	3(2	3(2	NUM
cana-2863	263	8	)	)	PUNCT
cana-2863	263	9	,	,	PUNCT
cana-2863	263	10	412	412	NUM
cana-2863	263	11	-	-	SYM
cana-2863	263	12	419	419	NUM
cana-2863	263	13	.	.	PUNCT
cana-2863	264	1	[	[	X
cana-2863	264	2	15	15	NUM
cana-2863	264	3	]	]	X
cana-2863	264	4	sun	sun	NOUN
cana-2863	264	5	,	,	PUNCT
cana-2863	264	6	k.	k.	PROPN
cana-2863	264	7	,	,	PUNCT
cana-2863	264	8	&	&	CCONJ
cana-2863	264	9	wang	wang	PROPN
cana-2863	264	10	,	,	PUNCT
cana-2863	264	11	j.	j.	PROPN
cana-2863	264	12	(	(	PUNCT
cana-2863	264	13	2019	2019	NUM
cana-2863	264	14	)	)	PUNCT
cana-2863	264	15	.	.	PUNCT
cana-2863	265	1	equilibrium	equilibrium	NOUN
cana-2863	265	2	joining	join	VERB
cana-2863	265	3	strategies	strategy	NOUN
cana-2863	265	4	in	in	ADP
cana-2863	265	5	the	the	DET
cana-2863	265	6	single	single	ADJ
cana-2863	265	7	-	-	PUNCT
cana-2863	265	8	server	server	NOUN
cana-2863	265	9	constant	constant	ADJ
cana-2863	265	10	retrial	retrial	ADJ
cana-2863	265	11	queues	queue	NOUN
cana-2863	265	12	with	with	ADP
cana-2863	265	13	bernoulli	bernoulli	PROPN
cana-2863	265	14	vacations	vacation	NOUN
cana-2863	265	15	.	.	PUNCT
cana-2863	266	1	rairo	rairo	PROPN
cana-2863	266	2	oper	oper	PROPN
cana-2863	266	3	.	.	PUNCT
cana-2863	267	1	res	res	PROPN
cana-2863	267	2	.	.	PROPN
cana-2863	267	3	,	,	PUNCT
cana-2863	267	4	55	55	NUM
cana-2863	267	5	,	,	PUNCT
cana-2863	267	6	s481	s481	PROPN
cana-2863	267	7	-	-	PUNCT
cana-2863	267	8	s502	s502	PROPN
cana-2863	267	9	.	.	PUNCT
cana-2863	268	1	[	[	X
cana-2863	268	2	16	16	NUM
cana-2863	268	3	]	]	X
cana-2863	268	4	tian	tian	PROPN
cana-2863	268	5	,	,	PUNCT
cana-2863	268	6	r.	r.	PROPN
cana-2863	268	7	,	,	PUNCT
cana-2863	268	8	wu	wu	PROPN
cana-2863	268	9	,	,	PUNCT
cana-2863	268	10	x.	x.	PROPN
cana-2863	268	11	,	,	PUNCT
cana-2863	268	12	he	he	PRON
cana-2863	268	13	,	,	PUNCT
cana-2863	268	14	l.	l.	PROPN
cana-2863	268	15	,	,	PUNCT
cana-2863	268	16	&	&	CCONJ
cana-2863	268	17	han	han	PROPN
cana-2863	268	18	,	,	PUNCT
cana-2863	268	19	y.	y.	PROPN
cana-2863	268	20	(	(	PUNCT
cana-2863	268	21	2023	2023	NUM
cana-2863	268	22	)	)	PUNCT
cana-2863	268	23	.	.	PUNCT
cana-2863	269	1	strategic	strategic	ADJ
cana-2863	269	2	analysis	analysis	NOUN
cana-2863	269	3	of	of	ADP
cana-2863	269	4	retrial	retrial	ADJ
cana-2863	269	5	queues	queue	NOUN
cana-2863	269	6	with	with	ADP
cana-2863	269	7	setup	setup	NOUN
cana-2863	269	8	times	time	NOUN
cana-2863	269	9	,	,	PUNCT
cana-2863	269	10	breakdown	breakdown	NOUN
cana-2863	269	11	and	and	CCONJ
cana-2863	269	12	repairs	repair	NOUN
cana-2863	269	13	.	.	PUNCT
cana-2863	270	1	discrete	discrete	ADJ
cana-2863	270	2	dynamics	dynamic	NOUN
cana-2863	270	3	in	in	ADP
cana-2863	270	4	nature	nature	NOUN
cana-2863	270	5	and	and	CCONJ
cana-2863	270	6	society	society	NOUN
cana-2863	270	7	,	,	PUNCT
cana-2863	270	8	2023(1	2023(1	PROPN
cana-2863	270	9	)	)	PUNCT
cana-2863	270	10	,	,	PUNCT
cana-2863	270	11	4930414	4930414	NUM
cana-2863	270	12	.	.	PUNCT
cana-2863	271	1	[	[	X
cana-2863	271	2	17	17	NUM
cana-2863	271	3	]	]	X
cana-2863	271	4	tomar	tomar	PROPN
cana-2863	271	5	,	,	PUNCT
cana-2863	271	6	r.	r.	PROPN
cana-2863	271	7	s.	s.	PROPN
cana-2863	271	8	,	,	PUNCT
cana-2863	271	9	&	&	CCONJ
cana-2863	271	10	shrivastav	shrivastav	PROPN
cana-2863	271	11	,	,	PUNCT
cana-2863	271	12	r.	r.	PROPN
cana-2863	271	13	k.	k.	PROPN
cana-2863	271	14	(	(	PUNCT
cana-2863	271	15	2020	2020	NUM
cana-2863	271	16	)	)	PUNCT
cana-2863	271	17	.	.	PUNCT
cana-2863	272	1	server	server	NOUN
cana-2863	272	2	breakdown	breakdown	NOUN
cana-2863	272	3	and	and	CCONJ
cana-2863	272	4	delayed	delay	VERB
cana-2863	272	5	repair	repair	NOUN
cana-2863	272	6	in	in	ADP
cana-2863	272	7	three	three	NUM
cana-2863	272	8	phases	phase	NOUN
cana-2863	272	9	of	of	ADP
cana-2863	272	10	service	service	NOUN
cana-2863	272	11	for	for	ADP
cana-2863	272	12	an	an	DET
cana-2863	272	13	m	m	NOUN
cana-2863	272	14	/	/	SYM
cana-2863	272	15	g/1	g/1	NOUN
cana-2863	272	16	retrial	retrial	NOUN
cana-2863	272	17	queueing	queue	VERB
cana-2863	272	18	system	system	NOUN
cana-2863	272	19	.	.	PUNCT
cana-2863	273	1	international	international	ADJ
cana-2863	273	2	journal	journal	PROPN
cana-2863	273	3	of	of	ADP
cana-2863	273	4	mathematics	mathematic	NOUN
cana-2863	273	5	and	and	CCONJ
cana-2863	273	6	its	its	PRON
cana-2863	273	7	applications	application	NOUN
cana-2863	273	8	,	,	PUNCT
cana-2863	273	9	8(2	8(2	NUM
cana-2863	273	10	)	)	PUNCT
cana-2863	273	11	,	,	PUNCT
cana-2863	273	12	35	35	NUM
cana-2863	273	13	-	-	SYM
cana-2863	273	14	47	47	NUM
cana-2863	273	15	.	.	PUNCT
cana-2863	274	1	[	[	X
cana-2863	274	2	18	18	NUM
cana-2863	274	3	]	]	X
cana-2863	274	4	upadhyaya	upadhyaya	PROPN
cana-2863	274	5	,	,	PUNCT
cana-2863	274	6	s.	s.	PROPN
cana-2863	274	7	(	(	PUNCT
cana-2863	274	8	2014	2014	NUM
cana-2863	274	9	)	)	PUNCT
cana-2863	274	10	.	.	PUNCT
cana-2863	275	1	performance	performance	NOUN
cana-2863	275	2	analysis	analysis	NOUN
cana-2863	275	3	of	of	ADP
cana-2863	275	4	a	a	DET
cana-2863	275	5	batch	batch	NOUN
cana-2863	275	6	arrival	arrival	NOUN
cana-2863	275	7	retrial	retrial	ADJ
cana-2863	275	8	queue	queue	NOUN
cana-2863	275	9	with	with	ADP
cana-2863	275	10	bernoulli	bernoulli	PROPN
cana-2863	275	11	feedback	feedback	NOUN
cana-2863	275	12	.	.	PUNCT
cana-2863	276	1	international	international	ADJ
cana-2863	276	2	journal	journal	NOUN
cana-2863	276	3	of	of	ADP
cana-2863	276	4	mathematics	mathematic	NOUN
cana-2863	276	5	in	in	ADP
cana-2863	276	6	operational	operational	ADJ
cana-2863	276	7	research	research	NOUN
cana-2863	276	8	,	,	PUNCT
cana-2863	276	9	6(6	6(6	ADJ
cana-2863	276	10	)	)	PUNCT
cana-2863	276	11	,	,	PUNCT
cana-2863	276	12	680	680	NUM
cana-2863	276	13	-	-	SYM
cana-2863	276	14	703	703	NUM
cana-2863	276	15	.	.	PUNCT
cana-2863	277	1	[	[	X
cana-2863	277	2	19	19	NUM
cana-2863	277	3	]	]	X
cana-2863	277	4	wang	wang	PROPN
cana-2863	277	5	,	,	PUNCT
cana-2863	277	6	j.	j.	PROPN
cana-2863	277	7	(	(	PUNCT
cana-2863	277	8	2012	2012	NUM
cana-2863	277	9	)	)	PUNCT
cana-2863	277	10	.	.	PUNCT
cana-2863	278	1	discrete	discrete	ADJ
cana-2863	278	2	-	-	PUNCT
cana-2863	278	3	time	time	NOUN
cana-2863	278	4	geo	geo	PROPN
cana-2863	278	5	/	/	SYM
cana-2863	278	6	g/1	g/1	NOUN
cana-2863	278	7	retrial	retrial	NOUN
cana-2863	278	8	queues	queue	NOUN
cana-2863	278	9	with	with	ADP
cana-2863	278	10	general	general	ADJ
cana-2863	278	11	retrial	retrial	ADJ
cana-2863	278	12	time	time	NOUN
cana-2863	278	13	and	and	CCONJ
cana-2863	278	14	bernoulli	bernoulli	PROPN
cana-2863	278	15	vacation	vacation	NOUN
cana-2863	278	16	.	.	PUNCT
cana-2863	279	1	journal	journal	PROPN
cana-2863	279	2	of	of	ADP
cana-2863	279	3	systems	system	NOUN
cana-2863	279	4	science	science	NOUN
cana-2863	279	5	and	and	CCONJ
cana-2863	279	6	complexity	complexity	NOUN
cana-2863	279	7	,	,	PUNCT
cana-2863	279	8	25	25	NUM
cana-2863	279	9	,	,	PUNCT
cana-2863	279	10	504	504	NUM
cana-2863	279	11	-	-	SYM
cana-2863	279	12	513	513	NUM
cana-2863	279	13	.	.	PUNCT
cana-2863	280	1	[	[	X
cana-2863	280	2	20	20	NUM
cana-2863	280	3	]	]	SYM
cana-2863	280	4	zadeh	zadeh	PROPN
cana-2863	280	5	,	,	PUNCT
cana-2863	280	6	a.	a.	PROPN
cana-2863	280	7	b.	b.	PROPN
cana-2863	280	8	(	(	PUNCT
cana-2863	280	9	2015	2015	NUM
cana-2863	280	10	)	)	PUNCT
cana-2863	280	11	.	.	PUNCT
cana-2863	281	1	a	a	DET
cana-2863	281	2	batch	batch	NOUN
cana-2863	281	3	arrival	arrival	NOUN
cana-2863	281	4	multi	multi	NOUN
cana-2863	281	5	phase	phase	NOUN
cana-2863	281	6	queueing	queue	VERB
cana-2863	281	7	system	system	NOUN
cana-2863	281	8	with	with	ADP
cana-2863	281	9	random	random	ADJ
cana-2863	281	10	feedback	feedback	NOUN
cana-2863	281	11	in	in	ADP
cana-2863	281	12	service	service	NOUN
cana-2863	281	13	and	and	CCONJ
cana-2863	281	14	single	single	ADJ
cana-2863	281	15	vacation	vacation	NOUN
cana-2863	281	16	policy	policy	NOUN
cana-2863	281	17	.	.	PUNCT
cana-2863	282	1	opsearch	opsearch	PROPN
cana-2863	282	2	,	,	PUNCT
cana-2863	282	3	52	52	NUM
cana-2863	282	4	,	,	PUNCT
cana-2863	282	5	617	617	NUM
cana-2863	282	6	-	-	SYM
cana-2863	282	7	630	630	NUM
cana-2863	282	8	.	.	PUNCT