id	sid	tid	token	lemma	pos
cana-1321	1	1	communications	communication	NOUN
cana-1321	1	2	on	on	ADP
cana-1321	1	3	applied	apply	VERB
cana-1321	1	4	nonlinear	nonlinear	ADJ
cana-1321	1	5	analysis	analysis	NOUN
cana-1321	1	6	issn	issn	NOUN
cana-1321	1	7	:	:	PUNCT
cana-1321	1	8	1074	1074	NUM
cana-1321	1	9	-	-	PUNCT
cana-1321	1	10	133x	133x	NUM
cana-1321	1	11	vol	vol	NOUN
cana-1321	1	12	31	31	NUM
cana-1321	1	13	no	no	NOUN
cana-1321	1	14	.	.	PUNCT
cana-1321	2	1	7s	7	NOUN
cana-1321	2	2	(	(	PUNCT
cana-1321	2	3	2024	2024	NUM
cana-1321	2	4	)	)	PUNCT
cana-1321	2	5	421	421	NUM
cana-1321	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	2	7	a	a	DET
cana-1321	2	8	comparative	comparative	ADJ
cana-1321	2	9	study	study	NOUN
cana-1321	2	10	of	of	ADP
cana-1321	2	11	lagrangean	lagrangean	ADJ
cana-1321	2	12	multiplier	multipli	ADJ
cana-1321	2	13	method	method	NOUN
cana-1321	2	14	and	and	CCONJ
cana-1321	2	15	integer	integer	NOUN
cana-1321	2	16	programming	programming	NOUN
cana-1321	2	17	approach	approach	NOUN
cana-1321	2	18	for	for	ADP
cana-1321	2	19	efficiency	efficiency	NOUN
cana-1321	2	20	design	design	NOUN
cana-1321	2	21	in	in	ADP
cana-1321	2	22	parallel	parallel	ADJ
cana-1321	2	23	-	-	PUNCT
cana-1321	2	24	series	series	NOUN
cana-1321	2	25	configuration	configuration	NOUN
cana-1321	2	26	1	1	NUM
cana-1321	2	27	bhavani	bhavani	NOUN
cana-1321	2	28	kapu	kapu	PROPN
cana-1321	2	29	,	,	PUNCT
cana-1321	2	30	2	2	NUM
cana-1321	2	31	sridhar	sridhar	NOUN
cana-1321	2	32	akiri	akiri	NOUN
cana-1321	2	33	,	,	PUNCT
cana-1321	2	34	3	3	NUM
cana-1321	2	35	pavan	pavan	PROPN
cana-1321	2	36	kumar	kumar	PROPN
cana-1321	2	37	subbara	subbara	PROPN
cana-1321	2	38	,	,	PUNCT
cana-1321	2	39	4	4	NUM
cana-1321	2	40	srinivasa	srinivasa	PROPN
cana-1321	2	41	rao	rao	PROPN
cana-1321	2	42	velampudi	velampudi	PROPN
cana-1321	2	43	&	&	CCONJ
cana-1321	2	44	5	5	NUM
cana-1321	2	45	ramadevi	ramadevi	NOUN
cana-1321	2	46	surapati	surapati	NOUN
cana-1321	2	47	1	1	NUM
cana-1321	2	48	,	,	PUNCT
cana-1321	2	49	2	2	NUM
cana-1321	2	50	&	&	CCONJ
cana-1321	2	51	5	5	NUM
cana-1321	2	52	department	department	NOUN
cana-1321	2	53	of	of	ADP
cana-1321	2	54	mathematics	mathematic	NOUN
cana-1321	2	55	,	,	PUNCT
cana-1321	2	56	gitam	gitam	NOUN
cana-1321	2	57	school	school	NOUN
cana-1321	2	58	of	of	ADP
cana-1321	2	59	science	science	NOUN
cana-1321	2	60	,	,	PUNCT
cana-1321	2	61	gitam	gitam	NOUN
cana-1321	2	62	(	(	PUNCT
cana-1321	2	63	deemed	deem	VERB
cana-1321	2	64	to	to	PART
cana-1321	2	65	be	be	AUX
cana-1321	2	66	university	university	NOUN
cana-1321	2	67	)	)	PUNCT
cana-1321	2	68	,	,	PUNCT
cana-1321	2	69	visakhapatnam	visakhapatnam	PROPN
cana-1321	2	70	,	,	PUNCT
cana-1321	2	71	andhra	andhra	PROPN
cana-1321	2	72	pradesh	pradesh	PROPN
cana-1321	2	73	,	,	PUNCT
cana-1321	2	74	india	india	PROPN
cana-1321	2	75	3	3	PROPN
cana-1321	2	76	department	department	PROPN
cana-1321	2	77	of	of	ADP
cana-1321	2	78	mathematics	mathematic	NOUN
cana-1321	2	79	,	,	PUNCT
cana-1321	2	80	gitam	gitam	NOUN
cana-1321	2	81	school	school	NOUN
cana-1321	2	82	of	of	ADP
cana-1321	2	83	science	science	NOUN
cana-1321	2	84	,	,	PUNCT
cana-1321	2	85	gitam	gitam	NOUN
cana-1321	2	86	(	(	PUNCT
cana-1321	2	87	deemed	deem	VERB
cana-1321	2	88	to	to	PART
cana-1321	2	89	be	be	AUX
cana-1321	2	90	university	university	NOUN
cana-1321	2	91	)	)	PUNCT
cana-1321	2	92	,	,	PUNCT
cana-1321	2	93	bangalore	bangalore	NOUN
cana-1321	2	94	campus	campus	PROPN
cana-1321	2	95	,	,	PUNCT
cana-1321	2	96	karnataka	karnataka	PROPN
cana-1321	2	97	,	,	PUNCT
cana-1321	2	98	india	india	PROPN
cana-1321	2	99	4	4	NUM
cana-1321	2	100	professor	professor	NOUN
cana-1321	2	101	,	,	PUNCT
cana-1321	2	102	department	department	NOUN
cana-1321	2	103	of	of	ADP
cana-1321	2	104	sciences	science	NOUN
cana-1321	2	105	and	and	CCONJ
cana-1321	2	106	humanities	humanity	NOUN
cana-1321	2	107	,	,	PUNCT
cana-1321	2	108	raghu	raghu	PROPN
cana-1321	2	109	engineering	engineering	PROPN
cana-1321	2	110	college	college	PROPN
cana-1321	2	111	,	,	PUNCT
cana-1321	2	112	visakhapatnam	visakhapatnam	PROPN
cana-1321	2	113	,	,	PUNCT
cana-1321	2	114	andhra	andhra	PROPN
cana-1321	2	115	pradesh	pradesh	PROPN
cana-1321	2	116	,	,	PUNCT
cana-1321	2	117	india	india	PROPN
cana-1321	2	118	e	e	PROPN
cana-1321	2	119	-	-	NOUN
cana-1321	2	120	mail	mail	NOUN
cana-1321	2	121	:	:	PUNCT
cana-1321	2	122	bkapu@gitam.in	bkapu@gitam.in	PROPN
cana-1321	2	123	,	,	PUNCT
cana-1321	2	124	sakiri@gitam.edu	sakiri@gitam.edu	PROPN
cana-1321	2	125	,	,	PUNCT
cana-1321	2	126	orpavan@gmail.com	orpavan@gmail.com	PROPN
cana-1321	2	127	,	,	PUNCT
cana-1321	2	128	vsr.rit@gmail.com	vsr.rit@gmail.com	PROPN
cana-1321	2	129	&	&	CCONJ
cana-1321	2	130	rsurapat@gitam.in	rsurapat@gitam.in	PROPN
cana-1321	2	131	article	article	PROPN
cana-1321	2	132	history	history	NOUN
cana-1321	2	133	:	:	PUNCT
cana-1321	2	134	received	receive	VERB
cana-1321	2	135	:	:	PUNCT
cana-1321	2	136	01	01	NUM
cana-1321	2	137	-	-	PUNCT
cana-1321	2	138	06	06	NUM
cana-1321	2	139	-	-	PUNCT
cana-1321	2	140	2024	2024	NUM
cana-1321	2	141	revised	revise	VERB
cana-1321	2	142	:	:	PUNCT
cana-1321	2	143	03	03	NUM
cana-1321	2	144	-	-	PUNCT
cana-1321	2	145	07	07	NUM
cana-1321	2	146	-	-	PUNCT
cana-1321	2	147	2024	2024	NUM
cana-1321	2	148	accepted	accept	VERB
cana-1321	2	149	:	:	PUNCT
cana-1321	2	150	29	29	NUM
cana-1321	2	151	-	-	SYM
cana-1321	2	152	07	07	NUM
cana-1321	2	153	-	-	PUNCT
cana-1321	2	154	2024	2024	NUM
cana-1321	2	155	abstract	abstract	NOUN
cana-1321	2	156	:	:	PUNCT
cana-1321	2	157	the	the	DET
cana-1321	2	158	integrated	integrate	VERB
cana-1321	2	159	redundant	redundant	ADJ
cana-1321	2	160	reliability	reliability	NOUN
cana-1321	2	161	model	model	NOUN
cana-1321	2	162	(	(	PUNCT
cana-1321	2	163	irrm	irrm	NOUN
cana-1321	2	164	)	)	PUNCT
cana-1321	2	165	represents	represent	VERB
cana-1321	2	166	an	an	DET
cana-1321	2	167	innovative	innovative	ADJ
cana-1321	2	168	approach	approach	NOUN
cana-1321	2	169	to	to	ADP
cana-1321	2	170	reliability	reliability	NOUN
cana-1321	2	171	engineering	engineering	NOUN
cana-1321	2	172	,	,	PUNCT
cana-1321	2	173	employing	employ	VERB
cana-1321	2	174	a	a	DET
cana-1321	2	175	parallel	parallel	ADJ
cana-1321	2	176	-	-	PUNCT
cana-1321	2	177	series	series	NOUN
cana-1321	2	178	configuration	configuration	NOUN
cana-1321	2	179	to	to	PART
cana-1321	2	180	enhance	enhance	VERB
cana-1321	2	181	system	system	NOUN
cana-1321	2	182	dependability	dependability	NOUN
cana-1321	2	183	.	.	PUNCT
cana-1321	3	1	the	the	DET
cana-1321	3	2	performance	performance	NOUN
cana-1321	3	3	of	of	ADP
cana-1321	3	4	the	the	DET
cana-1321	3	5	system	system	NOUN
cana-1321	3	6	hinges	hinge	VERB
cana-1321	3	7	on	on	ADP
cana-1321	3	8	the	the	DET
cana-1321	3	9	effectiveness	effectiveness	NOUN
cana-1321	3	10	of	of	ADP
cana-1321	3	11	each	each	DET
cana-1321	3	12	component	component	NOUN
cana-1321	3	13	within	within	ADP
cana-1321	3	14	the	the	DET
cana-1321	3	15	parallel	parallel	ADJ
cana-1321	3	16	-	-	PUNCT
cana-1321	3	17	series	series	NOUN
cana-1321	3	18	structure	structure	NOUN
cana-1321	3	19	,	,	PUNCT
cana-1321	3	20	surpassing	surpass	VERB
cana-1321	3	21	the	the	DET
cana-1321	3	22	efficiency	efficiency	NOUN
cana-1321	3	23	of	of	ADP
cana-1321	3	24	a	a	DET
cana-1321	3	25	singlesystem	singlesystem	NOUN
cana-1321	3	26	factor	factor	NOUN
cana-1321	3	27	with	with	ADP
cana-1321	3	28	a	a	DET
cana-1321	3	29	comparable	comparable	ADJ
cana-1321	3	30	setup	setup	NOUN
cana-1321	3	31	.	.	PUNCT
cana-1321	4	1	to	to	PART
cana-1321	4	2	address	address	VERB
cana-1321	4	3	component	component	NOUN
cana-1321	4	4	efficiencies	efficiency	NOUN
cana-1321	4	5	,	,	PUNCT
cana-1321	4	6	factors	factor	NOUN
cana-1321	4	7	in	in	ADP
cana-1321	4	8	each	each	DET
cana-1321	4	9	phase	phase	NOUN
cana-1321	4	10	,	,	PUNCT
cana-1321	4	11	and	and	CCONJ
cana-1321	4	12	existing	exist	VERB
cana-1321	4	13	constraints	constraint	NOUN
cana-1321	4	14	,	,	PUNCT
cana-1321	4	15	this	this	DET
cana-1321	4	16	paper	paper	NOUN
cana-1321	4	17	introduces	introduce	VERB
cana-1321	4	18	a	a	DET
cana-1321	4	19	customized	customize	VERB
cana-1321	4	20	integrated	integrate	VERB
cana-1321	4	21	reliability	reliability	NOUN
cana-1321	4	22	model	model	NOUN
cana-1321	4	23	(	(	PUNCT
cana-1321	4	24	irm	irm	PROPN
cana-1321	4	25	)	)	PUNCT
cana-1321	4	26	specifically	specifically	ADV
cana-1321	4	27	designed	design	VERB
cana-1321	4	28	for	for	ADP
cana-1321	4	29	the	the	DET
cana-1321	4	30	parallel	parallel	ADJ
cana-1321	4	31	-	-	PUNCT
cana-1321	4	32	series	series	NOUN
cana-1321	4	33	scenario	scenario	NOUN
cana-1321	4	34	.	.	PUNCT
cana-1321	5	1	in	in	ADP
cana-1321	5	2	this	this	DET
cana-1321	5	3	model	model	NOUN
cana-1321	5	4	,	,	PUNCT
cana-1321	5	5	redundant	redundant	ADJ
cana-1321	5	6	components	component	NOUN
cana-1321	5	7	are	be	AUX
cana-1321	5	8	arranged	arrange	VERB
cana-1321	5	9	in	in	ADP
cana-1321	5	10	parallel	parallel	NOUN
cana-1321	5	11	within	within	ADP
cana-1321	5	12	subsystems	subsystem	NOUN
cana-1321	5	13	,	,	PUNCT
cana-1321	5	14	providing	provide	VERB
cana-1321	5	15	immediate	immediate	ADJ
cana-1321	5	16	fallback	fallback	NOUN
cana-1321	5	17	for	for	ADP
cana-1321	5	18	a	a	DET
cana-1321	5	19	specialized	specialized	ADJ
cana-1321	5	20	machine	machine	NOUN
cana-1321	5	21	that	that	PRON
cana-1321	5	22	is	be	AUX
cana-1321	5	23	specifically	specifically	ADV
cana-1321	5	24	designed	design	VERB
cana-1321	5	25	for	for	ADP
cana-1321	5	26	the	the	DET
cana-1321	5	27	assembly	assembly	NOUN
cana-1321	5	28	of	of	ADP
cana-1321	5	29	an	an	DET
cana-1321	5	30	ic	ic	PROPN
cana-1321	5	31	engine	engine	NOUN
cana-1321	5	32	.	.	PUNCT
cana-1321	6	1	the	the	DET
cana-1321	6	2	interconnected	interconnected	ADJ
cana-1321	6	3	series	series	NOUN
cana-1321	6	4	configuration	configuration	NOUN
cana-1321	6	5	ensures	ensure	VERB
cana-1321	6	6	operational	operational	ADJ
cana-1321	6	7	continuity	continuity	NOUN
cana-1321	6	8	in	in	ADP
cana-1321	6	9	the	the	DET
cana-1321	6	10	event	event	NOUN
cana-1321	6	11	of	of	ADP
cana-1321	6	12	one	one	NUM
cana-1321	6	13	subsystem	subsystem	NOUN
cana-1321	6	14	failure	failure	NOUN
cana-1321	6	15	,	,	PUNCT
cana-1321	6	16	thereby	thereby	ADV
cana-1321	6	17	minimizing	minimize	VERB
cana-1321	6	18	vulnerabilities	vulnerability	NOUN
cana-1321	6	19	associated	associate	VERB
cana-1321	6	20	with	with	ADP
cana-1321	6	21	both	both	CCONJ
cana-1321	6	22	parallel	parallel	ADJ
cana-1321	6	23	and	and	CCONJ
cana-1321	6	24	series	series	NOUN
cana-1321	6	25	configurations	configuration	NOUN
cana-1321	6	26	.	.	PUNCT
cana-1321	7	1	particularly	particularly	ADV
cana-1321	7	2	beneficial	beneficial	ADJ
cana-1321	7	3	in	in	ADP
cana-1321	7	4	critical	critical	ADJ
cana-1321	7	5	systems	system	NOUN
cana-1321	7	6	,	,	PUNCT
cana-1321	7	7	the	the	DET
cana-1321	7	8	integrated	integrate	VERB
cana-1321	7	9	approach	approach	NOUN
cana-1321	7	10	aims	aim	VERB
cana-1321	7	11	to	to	PART
cana-1321	7	12	enhance	enhance	VERB
cana-1321	7	13	reliability	reliability	NOUN
cana-1321	7	14	levels	level	NOUN
cana-1321	7	15	.	.	PUNCT
cana-1321	8	1	the	the	DET
cana-1321	8	2	model	model	NOUN
cana-1321	8	3	utilizes	utilize	VERB
cana-1321	8	4	lagrangean	lagrangean	ADJ
cana-1321	8	5	methods	method	NOUN
cana-1321	8	6	for	for	ADP
cana-1321	8	7	computing	compute	VERB
cana-1321	8	8	variable	variable	ADJ
cana-1321	8	9	quantities	quantity	NOUN
cana-1321	8	10	,	,	PUNCT
cana-1321	8	11	effectiveness	effectiveness	NOUN
cana-1321	8	12	,	,	PUNCT
cana-1321	8	13	and	and	CCONJ
cana-1321	8	14	phase	phase	NOUN
cana-1321	8	15	reliability	reliability	NOUN
cana-1321	8	16	,	,	PUNCT
cana-1321	8	17	taking	take	VERB
cana-1321	8	18	into	into	ADP
cana-1321	8	19	account	account	NOUN
cana-1321	8	20	various	various	ADJ
cana-1321	8	21	criteria	criterion	NOUN
cana-1321	8	22	to	to	PART
cana-1321	8	23	improve	improve	VERB
cana-1321	8	24	overall	overall	ADJ
cana-1321	8	25	system	system	NOUN
cana-1321	8	26	efficiency	efficiency	NOUN
cana-1321	8	27	.	.	PUNCT
cana-1321	9	1	adjustments	adjustment	NOUN
cana-1321	9	2	to	to	ADP
cana-1321	9	3	simulation	simulation	NOUN
cana-1321	9	4	techniques	technique	NOUN
cana-1321	9	5	and	and	CCONJ
cana-1321	9	6	integer	integer	NOUN
cana-1321	9	7	programming	programming	NOUN
cana-1321	9	8	approaches	approach	NOUN
cana-1321	9	9	guarantee	guarantee	VERB
cana-1321	9	10	integer	integer	NOUN
cana-1321	9	11	outputs	output	NOUN
cana-1321	9	12	,	,	PUNCT
cana-1321	9	13	contributing	contribute	VERB
cana-1321	9	14	to	to	ADP
cana-1321	9	15	the	the	DET
cana-1321	9	16	realism	realism	NOUN
cana-1321	9	17	of	of	ADP
cana-1321	9	18	obtained	obtain	VERB
cana-1321	9	19	values	value	NOUN
cana-1321	9	20	.	.	PUNCT
cana-1321	10	1	this	this	DET
cana-1321	10	2	research	research	NOUN
cana-1321	10	3	provides	provide	VERB
cana-1321	10	4	valuable	valuable	ADJ
cana-1321	10	5	insights	insight	NOUN
cana-1321	10	6	into	into	ADP
cana-1321	10	7	optimizing	optimize	VERB
cana-1321	10	8	system	system	NOUN
cana-1321	10	9	reliability	reliability	NOUN
cana-1321	10	10	and	and	CCONJ
cana-1321	10	11	efficiency	efficiency	NOUN
cana-1321	10	12	through	through	ADP
cana-1321	10	13	integrated	integrated	ADJ
cana-1321	10	14	redundancy	redundancy	NOUN
cana-1321	10	15	strategies	strategy	NOUN
cana-1321	10	16	.	.	PUNCT
cana-1321	11	1	keywords	keyword	NOUN
cana-1321	11	2	:	:	PUNCT
cana-1321	11	3	integrated	integrate	VERB
cana-1321	11	4	redundant	redundant	ADJ
cana-1321	11	5	reliability	reliability	NOUN
cana-1321	11	6	,	,	PUNCT
cana-1321	11	7	lagrangean	lagrangean	ADJ
cana-1321	11	8	approach	approach	NOUN
cana-1321	11	9	,	,	PUNCT
cana-1321	11	10	component	component	NOUN
cana-1321	11	11	reliability	reliability	NOUN
cana-1321	11	12	,	,	PUNCT
cana-1321	11	13	stage	stage	NOUN
cana-1321	11	14	reliability	reliability	NOUN
cana-1321	11	15	,	,	PUNCT
cana-1321	11	16	integer	integer	NOUN
cana-1321	11	17	programming	programming	NOUN
cana-1321	11	18	approach	approach	NOUN
cana-1321	11	19	,	,	PUNCT
cana-1321	11	20	system	system	NOUN
cana-1321	11	21	reliability	reliability	NOUN
cana-1321	11	22	mathematics	mathematic	NOUN
cana-1321	11	23	subject	subject	ADJ
cana-1321	11	24	classification	classification	NOUN
cana-1321	11	25	:	:	PUNCT
cana-1321	11	26	primary	primary	ADJ
cana-1321	11	27	90b25	90b25	NOUN
cana-1321	11	28	;	;	PUNCT
cana-1321	11	29	secondary	secondary	ADJ
cana-1321	11	30	:	:	PUNCT
cana-1321	11	31	90c39	90c39	NUM
cana-1321	11	32	,	,	PUNCT
cana-1321	11	33	90c59	90c59	NUM
cana-1321	11	34	1	1	NUM
cana-1321	11	35	.	.	PUNCT
cana-1321	12	1	introduction	introduction	NOUN
cana-1321	12	2	enhancing	enhance	VERB
cana-1321	12	3	the	the	DET
cana-1321	12	4	reliability	reliability	NOUN
cana-1321	12	5	of	of	ADP
cana-1321	12	6	a	a	DET
cana-1321	12	7	structure	structure	NOUN
cana-1321	12	8	can	can	AUX
cana-1321	12	9	be	be	AUX
cana-1321	12	10	achieved	achieve	VERB
cana-1321	12	11	through	through	ADP
cana-1321	12	12	two	two	NUM
cana-1321	12	13	primary	primary	ADJ
cana-1321	12	14	approaches	approach	NOUN
cana-1321	12	15	:	:	PUNCT
cana-1321	12	16	incorporating	incorporate	VERB
cana-1321	12	17	redundant	redundant	ADJ
cana-1321	12	18	units	unit	NOUN
cana-1321	12	19	or	or	CCONJ
cana-1321	12	20	integrating	integrate	VERB
cana-1321	12	21	elements	element	NOUN
cana-1321	12	22	with	with	ADP
cana-1321	12	23	inherently	inherently	ADV
cana-1321	12	24	higher	high	ADJ
cana-1321	12	25	reliability	reliability	NOUN
cana-1321	12	26	.	.	PUNCT
cana-1321	13	1	simultaneously	simultaneously	ADV
cana-1321	13	2	combining	combine	VERB
cana-1321	13	3	both	both	DET
cana-1321	13	4	methods	method	NOUN
cana-1321	13	5	requires	require	VERB
cana-1321	13	6	additional	additional	ADJ
cana-1321	13	7	resources	resource	NOUN
cana-1321	13	8	.	.	PUNCT
cana-1321	14	1	this	this	DET
cana-1321	14	2	study	study	NOUN
cana-1321	14	3	explores	explore	VERB
cana-1321	14	4	the	the	DET
cana-1321	14	5	optimization	optimization	NOUN
cana-1321	14	6	of	of	ADP
cana-1321	14	7	structural	structural	ADJ
cana-1321	14	8	reliability	reliability	NOUN
cana-1321	14	9	,	,	PUNCT
cana-1321	14	10	taking	take	VERB
cana-1321	14	11	into	into	ADP
cana-1321	14	12	account	account	NOUN
cana-1321	14	13	resource	resource	NOUN
cana-1321	14	14	constraints	constraint	NOUN
cana-1321	14	15	such	such	ADJ
cana-1321	14	16	as	as	ADP
cana-1321	14	17	size	size	NOUN
cana-1321	14	18	,	,	PUNCT
cana-1321	14	19	value	value	NOUN
cana-1321	14	20	,	,	PUNCT
cana-1321	14	21	and	and	CCONJ
cana-1321	14	22	mailto:bkapu@gitam.in	mailto:bkapu@gitam.in	PROPN
cana-1321	14	23	mailto:sakiri@gitam.edu	mailto:sakiri@gitam.edu	PROPN
cana-1321	14	24	mailto:orpavan@gmail.com	mailto:orpavan@gmail.com	PROPN
cana-1321	14	25	mailto:vsr.rit@gmail.com	mailto:vsr.rit@gmail.com	X
cana-1321	14	26	mailto:rsurapat@gitam.in	mailto:rsurapat@gitam.in	PROPN
cana-1321	14	27	communications	communication	NOUN
cana-1321	14	28	on	on	ADP
cana-1321	14	29	applied	apply	VERB
cana-1321	14	30	nonlinear	nonlinear	ADJ
cana-1321	14	31	analysis	analysis	NOUN
cana-1321	14	32	issn	issn	NOUN
cana-1321	14	33	:	:	PUNCT
cana-1321	14	34	1074	1074	NUM
cana-1321	14	35	-	-	PUNCT
cana-1321	14	36	133x	133x	NUM
cana-1321	14	37	vol	vol	NOUN
cana-1321	14	38	31	31	NUM
cana-1321	14	39	no	no	NOUN
cana-1321	14	40	.	.	PUNCT
cana-1321	15	1	7s	7	NOUN
cana-1321	15	2	(	(	PUNCT
cana-1321	15	3	2024	2024	NUM
cana-1321	15	4	)	)	PUNCT
cana-1321	15	5	422	422	NUM
cana-1321	15	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	15	7	load	load	NOUN
cana-1321	15	8	availability	availability	NOUN
cana-1321	15	9	.	.	PUNCT
cana-1321	16	1	while	while	SCONJ
cana-1321	16	2	intrinsic	intrinsic	ADJ
cana-1321	16	3	value	value	NOUN
cana-1321	16	4	traditionally	traditionally	ADV
cana-1321	16	5	forms	form	VERB
cana-1321	16	6	the	the	DET
cana-1321	16	7	basis	basis	NOUN
cana-1321	16	8	for	for	ADP
cana-1321	16	9	reliability	reliability	NOUN
cana-1321	16	10	assessments	assessment	NOUN
cana-1321	16	11	,	,	PUNCT
cana-1321	16	12	realworld	realworld	PROPN
cana-1321	16	13	scenarios	scenario	NOUN
cana-1321	16	14	reveal	reveal	VERB
cana-1321	16	15	the	the	DET
cana-1321	16	16	pivotal	pivotal	ADJ
cana-1321	16	17	role	role	NOUN
cana-1321	16	18	of	of	ADP
cana-1321	16	19	often	often	ADV
cana-1321	16	20	unseen	unseen	ADJ
cana-1321	16	21	factors	factor	NOUN
cana-1321	16	22	like	like	ADP
cana-1321	16	23	load	load	NOUN
cana-1321	16	24	and	and	CCONJ
cana-1321	16	25	size	size	NOUN
cana-1321	16	26	in	in	ADP
cana-1321	16	27	influencing	influence	VERB
cana-1321	16	28	and	and	CCONJ
cana-1321	16	29	elevating	elevate	VERB
cana-1321	16	30	structural	structural	ADJ
cana-1321	16	31	reliability	reliability	NOUN
cana-1321	16	32	.	.	PUNCT
cana-1321	17	1	in	in	ADP
cana-1321	17	2	1971	1971	NUM
cana-1321	17	3	,	,	PUNCT
cana-1321	17	4	mishra	mishra	PROPN
cana-1321	17	5	k.	k.	PROPN
cana-1321	17	6	b.	b.	PROPN
cana-1321	18	1	[	[	X
cana-1321	18	2	01	01	NUM
cana-1321	18	3	]	]	X
cana-1321	18	4	,	,	PUNCT
cana-1321	18	5	the	the	DET
cana-1321	18	6	redundancy	redundancy	NOUN
cana-1321	18	7	optimization	optimization	NOUN
cana-1321	18	8	problem	problem	NOUN
cana-1321	18	9	was	be	AUX
cana-1321	18	10	formulated	formulate	VERB
cana-1321	18	11	as	as	ADP
cana-1321	18	12	an	an	DET
cana-1321	18	13	integer	integer	NOUN
cana-1321	18	14	programming	programming	NOUN
cana-1321	18	15	problem	problem	NOUN
cana-1321	18	16	using	use	VERB
cana-1321	18	17	zero	zero	NUM
cana-1321	18	18	-	-	PUNCT
cana-1321	18	19	one	one	NUM
cana-1321	18	20	variables	variable	NOUN
cana-1321	18	21	.	.	PUNCT
cana-1321	19	1	the	the	DET
cana-1321	19	2	solution	solution	NOUN
cana-1321	19	3	is	be	AUX
cana-1321	19	4	derived	derive	VERB
cana-1321	19	5	by	by	ADP
cana-1321	19	6	employing	employ	VERB
cana-1321	19	7	an	an	DET
cana-1321	19	8	algorithm	algorithm	NOUN
cana-1321	19	9	developed	develop	VERB
cana-1321	19	10	by	by	ADP
cana-1321	19	11	lawler	lawler	PROPN
cana-1321	19	12	and	and	CCONJ
cana-1321	19	13	bell	bell	PROPN
cana-1321	19	14	.	.	PUNCT
cana-1321	20	1	the	the	DET
cana-1321	20	2	objective	objective	ADJ
cana-1321	20	3	function	function	NOUN
cana-1321	20	4	and	and	CCONJ
cana-1321	20	5	limits	limit	NOUN
cana-1321	20	6	might	might	AUX
cana-1321	20	7	include	include	VERB
cana-1321	20	8	any	any	DET
cana-1321	20	9	arbitrary	arbitrary	ADJ
cana-1321	20	10	functions	function	NOUN
cana-1321	20	11	without	without	ADP
cana-1321	20	12	specified	specified	ADJ
cana-1321	20	13	constraints	constraint	NOUN
cana-1321	20	14	.	.	PUNCT
cana-1321	21	1	three	three	NUM
cana-1321	21	2	distinct	distinct	ADJ
cana-1321	21	3	forms	form	NOUN
cana-1321	21	4	of	of	ADP
cana-1321	21	5	the	the	DET
cana-1321	21	6	optimization	optimization	NOUN
cana-1321	21	7	issue	issue	NOUN
cana-1321	21	8	are	be	AUX
cana-1321	21	9	currently	currently	ADV
cana-1321	21	10	being	be	AUX
cana-1321	21	11	studied	study	VERB
cana-1321	21	12	.	.	PUNCT
cana-1321	22	1	the	the	DET
cana-1321	22	2	formulation	formulation	NOUN
cana-1321	22	3	is	be	AUX
cana-1321	22	4	unambiguous	unambiguous	ADJ
cana-1321	22	5	and	and	CCONJ
cana-1321	22	6	the	the	DET
cana-1321	22	7	solution	solution	NOUN
cana-1321	22	8	is	be	AUX
cana-1321	22	9	quite	quite	ADV
cana-1321	22	10	effective	effective	ADJ
cana-1321	22	11	on	on	ADP
cana-1321	22	12	a	a	DET
cana-1321	22	13	digital	digital	ADJ
cana-1321	22	14	computer	computer	NOUN
cana-1321	22	15	.	.	PUNCT
cana-1321	23	1	the	the	DET
cana-1321	23	2	magnitude	magnitude	NOUN
cana-1321	23	3	of	of	ADP
cana-1321	23	4	the	the	DET
cana-1321	23	5	problem	problem	NOUN
cana-1321	23	6	that	that	PRON
cana-1321	23	7	can	can	AUX
cana-1321	23	8	be	be	AUX
cana-1321	23	9	resolved	resolve	VERB
cana-1321	23	10	is	be	AUX
cana-1321	23	11	not	not	PART
cana-1321	23	12	limited	limit	VERB
cana-1321	23	13	by	by	ADP
cana-1321	23	14	the	the	DET
cana-1321	23	15	quantity	quantity	NOUN
cana-1321	23	16	of	of	ADP
cana-1321	23	17	constraints	constraint	NOUN
cana-1321	23	18	.	.	PUNCT
cana-1321	24	1	a	a	DET
cana-1321	24	2	mathematical	mathematical	ADJ
cana-1321	24	3	model	model	NOUN
cana-1321	24	4	was	be	AUX
cana-1321	24	5	presented	present	VERB
cana-1321	24	6	by	by	ADP
cana-1321	24	7	mishra	mishra	PROPN
cana-1321	24	8	k.	k.	PROPN
cana-1321	24	9	b.	b.	PROPN
cana-1321	24	10	in	in	ADP
cana-1321	24	11	1972	1972	NUM
cana-1321	25	1	[	[	X
cana-1321	25	2	02	02	NUM
cana-1321	25	3	]	]	X
cana-1321	25	4	.	.	PUNCT
cana-1321	26	1	the	the	DET
cana-1321	26	2	model	model	NOUN
cana-1321	26	3	's	's	PART
cana-1321	26	4	objective	objective	NOUN
cana-1321	26	5	is	be	AUX
cana-1321	26	6	to	to	PART
cana-1321	26	7	maximize	maximize	VERB
cana-1321	26	8	the	the	DET
cana-1321	26	9	reliability	reliability	NOUN
cana-1321	26	10	of	of	ADP
cana-1321	26	11	a	a	DET
cana-1321	26	12	system	system	NOUN
cana-1321	26	13	that	that	PRON
cana-1321	26	14	is	be	AUX
cana-1321	26	15	composed	compose	VERB
cana-1321	26	16	of	of	ADP
cana-1321	26	17	numerous	numerous	ADJ
cana-1321	26	18	stages	stage	NOUN
cana-1321	26	19	and	and	CCONJ
cana-1321	26	20	has	have	VERB
cana-1321	26	21	both	both	PRON
cana-1321	26	22	series	series	NOUN
cana-1321	26	23	and	and	CCONJ
cana-1321	26	24	parallel	parallel	ADJ
cana-1321	26	25	redundancy	redundancy	NOUN
cana-1321	26	26	.	.	PUNCT
cana-1321	27	1	additionally	additionally	ADV
cana-1321	27	2	,	,	PUNCT
cana-1321	27	3	the	the	DET
cana-1321	27	4	model	model	NOUN
cana-1321	27	5	is	be	AUX
cana-1321	27	6	subject	subject	ADJ
cana-1321	27	7	to	to	ADP
cana-1321	27	8	linear	linear	ADJ
cana-1321	27	9	constraints	constraint	NOUN
cana-1321	27	10	.	.	PUNCT
cana-1321	28	1	many	many	ADJ
cana-1321	28	2	distinct	distinct	ADJ
cana-1321	28	3	methods	method	NOUN
cana-1321	28	4	for	for	ADP
cana-1321	28	5	the	the	DET
cana-1321	28	6	evaluation	evaluation	NOUN
cana-1321	28	7	of	of	ADP
cana-1321	28	8	the	the	DET
cana-1321	28	9	reliability	reliability	NOUN
cana-1321	28	10	of	of	ADP
cana-1321	28	11	general	general	ADJ
cana-1321	28	12	systems	system	NOUN
cana-1321	28	13	have	have	AUX
cana-1321	28	14	been	be	AUX
cana-1321	28	15	proposed	propose	VERB
cana-1321	28	16	by	by	ADP
cana-1321	28	17	agarwal	agarwal	PROPN
cana-1321	28	18	,	,	PUNCT
cana-1321	28	19	k.	k.	PROPN
cana-1321	28	20	k.	k.	PROPN
cana-1321	28	21	and	and	CCONJ
cana-1321	28	22	gupta	gupta	PROPN
cana-1321	28	23	,	,	PUNCT
cana-1321	28	24	j.	j.	PROPN
cana-1321	28	25	s.	s.	PROPN
cana-1321	28	26	,	,	PUNCT
cana-1321	28	27	(	(	PUNCT
cana-1321	28	28	1975	1975	NUM
cana-1321	28	29	)	)	PUNCT
cana-1321	29	1	[	[	X
cana-1321	29	2	03	03	NUM
cana-1321	29	3	]	]	PUNCT
cana-1321	29	4	.	.	PUNCT
cana-1321	30	1	the	the	DET
cana-1321	30	2	advantages	advantage	NOUN
cana-1321	30	3	and	and	CCONJ
cana-1321	30	4	disadvantages	disadvantage	NOUN
cana-1321	30	5	of	of	ADP
cana-1321	30	6	each	each	DET
cana-1321	30	7	approach	approach	NOUN
cana-1321	30	8	are	be	AUX
cana-1321	30	9	examined	examine	VERB
cana-1321	30	10	.	.	PUNCT
cana-1321	31	1	the	the	DET
cana-1321	31	2	computational	computational	ADJ
cana-1321	31	3	labor	labor	NOUN
cana-1321	31	4	and	and	CCONJ
cana-1321	31	5	the	the	DET
cana-1321	31	6	magnitude	magnitude	NOUN
cana-1321	31	7	of	of	ADP
cana-1321	31	8	the	the	DET
cana-1321	31	9	final	final	ADJ
cana-1321	31	10	derived	derived	ADJ
cana-1321	31	11	reliability	reliability	NOUN
cana-1321	31	12	expression	expression	NOUN
cana-1321	31	13	are	be	AUX
cana-1321	31	14	compared	compare	VERB
cana-1321	31	15	by	by	ADP
cana-1321	31	16	solving	solve	VERB
cana-1321	31	17	an	an	DET
cana-1321	31	18	example	example	NOUN
cana-1321	31	19	using	use	VERB
cana-1321	31	20	all	all	DET
cana-1321	31	21	the	the	DET
cana-1321	31	22	methods	method	NOUN
cana-1321	31	23	.	.	PUNCT
cana-1321	32	1	the	the	DET
cana-1321	32	2	optimal	optimal	ADJ
cana-1321	32	3	allocation	allocation	NOUN
cana-1321	32	4	of	of	ADP
cana-1321	32	5	components	component	NOUN
cana-1321	32	6	to	to	ADP
cana-1321	32	7	parallel	parallel	NOUN
cana-1321	32	8	-	-	PUNCT
cana-1321	32	9	series	series	NOUN
cana-1321	32	10	and	and	CCONJ
cana-1321	32	11	series	series	NOUN
cana-1321	32	12	-	-	PUNCT
cana-1321	32	13	parallel	parallel	ADJ
cana-1321	32	14	systems	system	NOUN
cana-1321	32	15	to	to	PART
cana-1321	32	16	maximize	maximize	VERB
cana-1321	32	17	the	the	DET
cana-1321	32	18	system	system	NOUN
cana-1321	32	19	's	's	PART
cana-1321	32	20	reliability	reliability	NOUN
cana-1321	32	21	can	can	AUX
cana-1321	32	22	be	be	AUX
cana-1321	32	23	solved	solve	VERB
cana-1321	32	24	using	use	VERB
cana-1321	32	25	majorization	majorization	NOUN
cana-1321	32	26	and	and	CCONJ
cana-1321	32	27	schur	schur	ADJ
cana-1321	32	28	-	-	PUNCT
cana-1321	32	29	convex	convex	NOUN
cana-1321	32	30	functions	function	NOUN
cana-1321	32	31	,	,	PUNCT
cana-1321	32	32	as	as	SCONJ
cana-1321	32	33	described	describe	VERB
cana-1321	32	34	by	by	ADP
cana-1321	32	35	eineweihi	eineweihi	PROPN
cana-1321	32	36	,	,	PUNCT
cana-1321	32	37	e.	e.	PROPN
cana-1321	32	38	,	,	PUNCT
cana-1321	32	39	et	et	PROPN
cana-1321	32	40	.	.	PUNCT
cana-1321	33	1	al	al	PROPN
cana-1321	33	2	.	.	PROPN
cana-1321	34	1	(	(	PUNCT
cana-1321	34	2	1986	1986	NUM
cana-1321	34	3	)	)	PUNCT
cana-1321	34	4	.	.	PUNCT
cana-1321	35	1	the	the	DET
cana-1321	35	2	optimal	optimal	ADJ
cana-1321	35	3	allocation	allocation	NOUN
cana-1321	35	4	for	for	ADP
cana-1321	35	5	parallel	parallel	NOUN
cana-1321	35	6	-	-	PUNCT
cana-1321	35	7	series	series	NOUN
cana-1321	35	8	systems	system	NOUN
cana-1321	35	9	[	[	X
cana-1321	35	10	04	04	NUM
cana-1321	35	11	]	]	PUNCT
cana-1321	35	12	,	,	PUNCT
cana-1321	35	13	is	be	AUX
cana-1321	35	14	entirely	entirely	ADV
cana-1321	35	15	delineated	delineated	ADJ
cana-1321	35	16	and	and	CCONJ
cana-1321	35	17	is	be	AUX
cana-1321	35	18	contingent	contingent	ADJ
cana-1321	35	19	upon	upon	SCONJ
cana-1321	35	20	the	the	DET
cana-1321	35	21	ordering	ordering	NOUN
cana-1321	35	22	of	of	ADP
cana-1321	35	23	component	component	NOUN
cana-1321	35	24	reliabilities	reliability	NOUN
cana-1321	35	25	.	.	PUNCT
cana-1321	36	1	we	we	PRON
cana-1321	36	2	present	present	VERB
cana-1321	36	3	a	a	DET
cana-1321	36	4	partial	partial	ADJ
cana-1321	36	5	ordering	ordering	NOUN
cana-1321	36	6	of	of	ADP
cana-1321	36	7	allocations	allocation	NOUN
cana-1321	36	8	for	for	ADP
cana-1321	36	9	series	series	NOUN
cana-1321	36	10	-	-	PUNCT
cana-1321	36	11	parallel	parallel	ADJ
cana-1321	36	12	systems	system	NOUN
cana-1321	36	13	that	that	PRON
cana-1321	36	14	can	can	AUX
cana-1321	36	15	result	result	VERB
cana-1321	36	16	in	in	ADP
cana-1321	36	17	the	the	DET
cana-1321	36	18	optimal	optimal	ADJ
cana-1321	36	19	allocation	allocation	NOUN
cana-1321	36	20	.	.	PUNCT
cana-1321	37	1	lastly	lastly	ADV
cana-1321	37	2	,	,	PUNCT
cana-1321	37	3	we	we	PRON
cana-1321	37	4	present	present	VERB
cana-1321	37	5	a	a	DET
cana-1321	37	6	method	method	NOUN
cana-1321	37	7	for	for	ADP
cana-1321	37	8	recasting	recast	VERB
cana-1321	37	9	these	these	DET
cana-1321	37	10	problems	problem	NOUN
cana-1321	37	11	as	as	ADP
cana-1321	37	12	integer	integer	NOUN
cana-1321	37	13	linear	linear	ADJ
cana-1321	37	14	programming	programming	NOUN
cana-1321	37	15	problems	problem	NOUN
cana-1321	37	16	.	.	PUNCT
cana-1321	38	1	the	the	DET
cana-1321	38	2	results	result	NOUN
cana-1321	38	3	of	of	ADP
cana-1321	38	4	this	this	DET
cana-1321	38	5	paper	paper	NOUN
cana-1321	38	6	demonstrate	demonstrate	VERB
cana-1321	38	7	that	that	SCONJ
cana-1321	38	8	the	the	DET
cana-1321	38	9	application	application	NOUN
cana-1321	38	10	of	of	ADP
cana-1321	38	11	schur	schur	NOUN
cana-1321	38	12	functions	function	NOUN
cana-1321	38	13	and	and	CCONJ
cana-1321	38	14	a	a	DET
cana-1321	38	15	different	different	ADJ
cana-1321	38	16	approach	approach	NOUN
cana-1321	38	17	to	to	ADP
cana-1321	38	18	certain	certain	ADJ
cana-1321	38	19	linear	linear	ADJ
cana-1321	38	20	integer	integer	NOUN
cana-1321	38	21	programming	programming	NOUN
cana-1321	38	22	problems	problem	NOUN
cana-1321	38	23	can	can	AUX
cana-1321	38	24	result	result	VERB
cana-1321	38	25	in	in	ADP
cana-1321	38	26	the	the	DET
cana-1321	38	27	acquisition	acquisition	NOUN
cana-1321	38	28	of	of	ADP
cana-1321	38	29	complete	complete	ADJ
cana-1321	38	30	solutions	solution	NOUN
cana-1321	38	31	in	in	ADP
cana-1321	38	32	certain	certain	ADJ
cana-1321	38	33	cases	case	NOUN
cana-1321	38	34	and	and	CCONJ
cana-1321	38	35	a	a	DET
cana-1321	38	36	more	more	ADV
cana-1321	38	37	comprehensive	comprehensive	ADJ
cana-1321	38	38	understanding	understanding	NOUN
cana-1321	38	39	in	in	ADP
cana-1321	38	40	others	other	NOUN
cana-1321	38	41	.	.	PUNCT
cana-1321	39	1	prasad	prasad	PROPN
cana-1321	39	2	,	,	PUNCT
cana-1321	39	3	v.	v.	PROPN
cana-1321	39	4	r.	r.	PROPN
cana-1321	39	5	,	,	PUNCT
cana-1321	39	6	et	et	PROPN
cana-1321	39	7	al	al	PROPN
cana-1321	39	8	.	.	PROPN
cana-1321	39	9	,	,	PUNCT
cana-1321	39	10	(	(	PUNCT
cana-1321	39	11	1991	1991	NUM
cana-1321	39	12	)	)	PUNCT
cana-1321	40	1	,	,	PUNCT
cana-1321	40	2	explained	explain	VERB
cana-1321	40	3	the	the	DET
cana-1321	40	4	purpose	purpose	NOUN
cana-1321	40	5	of	of	ADP
cana-1321	40	6	a	a	DET
cana-1321	40	7	parallel	parallel	ADJ
cana-1321	40	8	-	-	PUNCT
cana-1321	40	9	series	series	NOUN
cana-1321	40	10	network	network	NOUN
cana-1321	40	11	[	[	X
cana-1321	40	12	05	05	NUM
cana-1321	40	13	]	]	PUNCT
cana-1321	40	14	,	,	PUNCT
cana-1321	40	15	is	be	AUX
cana-1321	40	16	to	to	PART
cana-1321	40	17	maximize	maximize	VERB
cana-1321	40	18	the	the	DET
cana-1321	40	19	system	system	NOUN
cana-1321	40	20	's	's	PART
cana-1321	40	21	reliability	reliability	NOUN
cana-1321	40	22	by	by	ADP
cana-1321	40	23	selecting	select	VERB
cana-1321	40	24	and	and	CCONJ
cana-1321	40	25	assigning	assign	VERB
cana-1321	40	26	n	n	CCONJ
cana-1321	40	27	components	component	NOUN
cana-1321	40	28	from	from	ADP
cana-1321	40	29	the	the	DET
cana-1321	40	30	available	available	ADJ
cana-1321	40	31	options	option	NOUN
cana-1321	40	32	to	to	ADP
cana-1321	40	33	the	the	DET
cana-1321	40	34	n	n	PRON
cana-1321	40	35	spots	spot	NOUN
cana-1321	40	36	in	in	ADP
cana-1321	40	37	the	the	DET
cana-1321	40	38	network	network	NOUN
cana-1321	40	39	.	.	PUNCT
cana-1321	41	1	the	the	DET
cana-1321	41	2	assignment	assignment	NOUN
cana-1321	41	3	of	of	ADP
cana-1321	41	4	a	a	DET
cana-1321	41	5	component	component	NOUN
cana-1321	41	6	to	to	ADP
cana-1321	41	7	any	any	PRON
cana-1321	41	8	of	of	ADP
cana-1321	41	9	the	the	DET
cana-1321	41	10	n	n	PRON
cana-1321	41	11	places	place	NOUN
cana-1321	41	12	can	can	AUX
cana-1321	41	13	impact	impact	VERB
cana-1321	41	14	its	its	PRON
cana-1321	41	15	reliability	reliability	NOUN
cana-1321	41	16	.	.	PUNCT
cana-1321	42	1	solving	solve	VERB
cana-1321	42	2	this	this	DET
cana-1321	42	3	problem	problem	NOUN
cana-1321	42	4	precisely	precisely	ADV
cana-1321	42	5	is	be	AUX
cana-1321	42	6	really	really	ADV
cana-1321	42	7	intricate	intricate	ADJ
cana-1321	42	8	.	.	PUNCT
cana-1321	43	1	hence	hence	ADV
cana-1321	43	2	,	,	PUNCT
cana-1321	43	3	a	a	DET
cana-1321	43	4	heuristic	heuristic	ADJ
cana-1321	43	5	approach	approach	NOUN
cana-1321	43	6	is	be	AUX
cana-1321	43	7	devised	devise	VERB
cana-1321	43	8	that	that	PRON
cana-1321	43	9	necessitates	necessitate	VERB
cana-1321	43	10	conventional	conventional	ADJ
cana-1321	43	11	assignment	assignment	NOUN
cana-1321	43	12	issues	issue	NOUN
cana-1321	43	13	,	,	PUNCT
cana-1321	43	14	with	with	ADP
cana-1321	43	15	k	k	PROPN
cana-1321	43	16	representing	represent	VERB
cana-1321	43	17	the	the	DET
cana-1321	43	18	quantity	quantity	NOUN
cana-1321	43	19	of	of	ADP
cana-1321	43	20	pathsets	pathset	NOUN
cana-1321	43	21	within	within	ADP
cana-1321	43	22	the	the	DET
cana-1321	43	23	network	network	NOUN
cana-1321	43	24	.	.	PUNCT
cana-1321	44	1	the	the	DET
cana-1321	44	2	findings	finding	NOUN
cana-1321	44	3	of	of	ADP
cana-1321	44	4	a	a	DET
cana-1321	44	5	comprehensive	comprehensive	ADJ
cana-1321	44	6	computer	computer	NOUN
cana-1321	44	7	experiment	experiment	NOUN
cana-1321	44	8	demonstrate	demonstrate	VERB
cana-1321	44	9	that	that	SCONJ
cana-1321	44	10	the	the	DET
cana-1321	44	11	heuristic	heuristic	ADJ
cana-1321	44	12	approach	approach	NOUN
cana-1321	44	13	achieves	achieve	VERB
cana-1321	44	14	precise	precise	ADJ
cana-1321	44	15	solutions	solution	NOUN
cana-1321	44	16	in	in	ADP
cana-1321	44	17	the	the	DET
cana-1321	44	18	majority	majority	NOUN
cana-1321	44	19	of	of	ADP
cana-1321	44	20	instances	instance	NOUN
cana-1321	44	21	.	.	PUNCT
cana-1321	45	1	in	in	ADP
cana-1321	45	2	cases	case	NOUN
cana-1321	45	3	where	where	SCONJ
cana-1321	45	4	an	an	DET
cana-1321	45	5	exact	exact	ADJ
cana-1321	45	6	solution	solution	NOUN
cana-1321	45	7	is	be	AUX
cana-1321	45	8	not	not	PART
cana-1321	45	9	obtained	obtain	VERB
cana-1321	45	10	,	,	PUNCT
cana-1321	45	11	the	the	DET
cana-1321	45	12	variation	variation	NOUN
cana-1321	45	13	from	from	ADP
cana-1321	45	14	the	the	DET
cana-1321	45	15	exact	exact	ADJ
cana-1321	45	16	solution	solution	NOUN
cana-1321	45	17	is	be	AUX
cana-1321	45	18	generally	generally	ADV
cana-1321	45	19	minimal	minimal	ADJ
cana-1321	45	20	.	.	PUNCT
cana-1321	46	1	in	in	ADP
cana-1321	46	2	their	their	PRON
cana-1321	46	3	1991	1991	NUM
cana-1321	46	4	study	study	NOUN
cana-1321	46	5	,	,	PUNCT
cana-1321	46	6	krishna	krishna	PROPN
cana-1321	46	7	b.	b.	PROPN
cana-1321	46	8	mishra	mishra	PROPN
cana-1321	46	9	and	and	CCONJ
cana-1321	46	10	usha	usha	PROPN
cana-1321	46	11	sharma	sharma	PROPN
cana-1321	46	12	[	[	X
cana-1321	46	13	06	06	NUM
cana-1321	46	14	]	]	PUNCT
cana-1321	46	15	,	,	PUNCT
cana-1321	46	16	presented	present	VERB
cana-1321	46	17	a	a	DET
cana-1321	46	18	novel	novel	ADJ
cana-1321	46	19	mathematical	mathematical	ADJ
cana-1321	46	20	approach	approach	NOUN
cana-1321	46	21	for	for	ADP
cana-1321	46	22	optimizing	optimize	VERB
cana-1321	46	23	the	the	DET
cana-1321	46	24	reliability	reliability	NOUN
cana-1321	46	25	and	and	CCONJ
cana-1321	46	26	redundancy	redundancy	NOUN
cana-1321	46	27	allocation	allocation	NOUN
cana-1321	46	28	in	in	ADP
cana-1321	46	29	a	a	DET
cana-1321	46	30	system	system	NOUN
cana-1321	46	31	that	that	PRON
cana-1321	46	32	utilizes	utilize	VERB
cana-1321	46	33	different	different	ADJ
cana-1321	46	34	types	type	NOUN
cana-1321	46	35	of	of	ADP
cana-1321	46	36	redundancy	redundancy	NOUN
cana-1321	46	37	.	.	PUNCT
cana-1321	47	1	their	their	PRON
cana-1321	47	2	formulation	formulation	NOUN
cana-1321	47	3	incorporates	incorporate	VERB
cana-1321	47	4	numerous	numerous	ADJ
cana-1321	47	5	objective	objective	ADJ
cana-1321	47	6	functions	function	NOUN
cana-1321	47	7	to	to	PART
cana-1321	47	8	enhance	enhance	VERB
cana-1321	47	9	the	the	DET
cana-1321	47	10	reliability	reliability	NOUN
cana-1321	47	11	design	design	NOUN
cana-1321	47	12	.	.	PUNCT
cana-1321	48	1	the	the	DET
cana-1321	48	2	paper	paper	NOUN
cana-1321	48	3	presents	present	VERB
cana-1321	48	4	a	a	DET
cana-1321	48	5	computationally	computationally	ADV
cana-1321	48	6	feasible	feasible	ADJ
cana-1321	48	7	method	method	NOUN
cana-1321	48	8	for	for	ADP
cana-1321	48	9	addressing	address	VERB
cana-1321	48	10	a	a	DET
cana-1321	48	11	range	range	NOUN
cana-1321	48	12	of	of	ADP
cana-1321	48	13	design	design	NOUN
cana-1321	48	14	challenges	challenge	NOUN
cana-1321	48	15	.	.	PUNCT
cana-1321	49	1	the	the	DET
cana-1321	49	2	suggested	suggest	VERB
cana-1321	49	3	solution	solution	NOUN
cana-1321	49	4	strategy	strategy	NOUN
cana-1321	49	5	combines	combine	VERB
cana-1321	49	6	the	the	DET
cana-1321	49	7	direct	direct	ADJ
cana-1321	49	8	search	search	NOUN
cana-1321	49	9	technique	technique	NOUN
cana-1321	49	10	and	and	CCONJ
cana-1321	49	11	a	a	DET
cana-1321	49	12	random	random	ADJ
cana-1321	49	13	search	search	NOUN
cana-1321	49	14	procedure	procedure	NOUN
cana-1321	49	15	to	to	PART
cana-1321	49	16	optimize	optimize	VERB
cana-1321	49	17	redundancy	redundancy	NOUN
cana-1321	49	18	and	and	CCONJ
cana-1321	49	19	reliability	reliability	NOUN
cana-1321	49	20	simultaneously	simultaneously	ADV
cana-1321	49	21	in	in	ADP
cana-1321	49	22	each	each	DET
cana-1321	49	23	subsystem	subsystem	NOUN
cana-1321	49	24	.	.	PUNCT
cana-1321	50	1	it	it	PRON
cana-1321	50	2	utilizes	utilize	VERB
cana-1321	50	3	a	a	DET
cana-1321	50	4	multi	multi	ADJ
cana-1321	50	5	-	-	ADJ
cana-1321	50	6	criteria	criteria	ADJ
cana-1321	50	7	optimization	optimization	NOUN
cana-1321	50	8	procedure	procedure	NOUN
cana-1321	50	9	based	base	VERB
cana-1321	50	10	on	on	ADP
cana-1321	50	11	the	the	DET
cana-1321	50	12	min	min	PROPN
cana-1321	50	13	-	-	ADJ
cana-1321	50	14	max	max	ADJ
cana-1321	50	15	approach	approach	NOUN
cana-1321	50	16	to	to	PART
cana-1321	50	17	generate	generate	VERB
cana-1321	50	18	pareto	pareto	ADJ
cana-1321	50	19	optimal	optimal	ADJ
cana-1321	50	20	solutions	solution	NOUN
cana-1321	50	21	.	.	PUNCT
cana-1321	51	1	the	the	DET
cana-1321	51	2	process	process	NOUN
cana-1321	51	3	is	be	AUX
cana-1321	51	4	demonstrated	demonstrate	VERB
cana-1321	51	5	using	use	VERB
cana-1321	51	6	multiple	multiple	ADJ
cana-1321	51	7	examples	example	NOUN
cana-1321	51	8	.	.	PUNCT
cana-1321	52	1	baxter	baxter	PROPN
cana-1321	52	2	and	and	CCONJ
cana-1321	52	3	harche	harche	PROPN
cana-1321	52	4	(	(	PUNCT
cana-1321	52	5	1992	1992	NUM
cana-1321	52	6	)	)	PUNCT
cana-1321	52	7	,	,	PUNCT
cana-1321	52	8	communications	communication	NOUN
cana-1321	52	9	on	on	ADP
cana-1321	52	10	applied	apply	VERB
cana-1321	52	11	nonlinear	nonlinear	ADJ
cana-1321	52	12	analysis	analysis	NOUN
cana-1321	52	13	issn	issn	NOUN
cana-1321	52	14	:	:	PUNCT
cana-1321	52	15	1074	1074	NUM
cana-1321	52	16	-	-	PUNCT
cana-1321	52	17	133x	133x	NUM
cana-1321	52	18	vol	vol	NOUN
cana-1321	52	19	31	31	NUM
cana-1321	52	20	no	no	NOUN
cana-1321	52	21	.	.	PUNCT
cana-1321	53	1	7s	7	NOUN
cana-1321	53	2	(	(	PUNCT
cana-1321	53	3	2024	2024	NUM
cana-1321	53	4	)	)	PUNCT
cana-1321	53	5	423	423	NUM
cana-1321	53	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	53	7	introduced	introduce	VERB
cana-1321	53	8	a	a	DET
cana-1321	53	9	heuristic	heuristic	ADJ
cana-1321	53	10	method	method	NOUN
cana-1321	53	11	for	for	ADP
cana-1321	53	12	achieving	achieve	VERB
cana-1321	53	13	the	the	DET
cana-1321	53	14	optimal	optimal	ADJ
cana-1321	53	15	assembly	assembly	NOUN
cana-1321	53	16	of	of	ADP
cana-1321	53	17	series	series	NOUN
cana-1321	53	18	-	-	PUNCT
cana-1321	53	19	parallel	parallel	ADJ
cana-1321	53	20	systems	system	NOUN
cana-1321	53	21	[	[	X
cana-1321	53	22	07	07	NUM
cana-1321	53	23	]	]	PUNCT
cana-1321	53	24	.	.	PUNCT
cana-1321	54	1	this	this	DET
cana-1321	54	2	heuristic	heuristic	NOUN
cana-1321	54	3	possesses	possess	VERB
cana-1321	54	4	an	an	DET
cana-1321	54	5	asymptotic	asymptotic	ADJ
cana-1321	54	6	optimality	optimality	NOUN
cana-1321	54	7	property	property	NOUN
cana-1321	54	8	,	,	PUNCT
cana-1321	54	9	which	which	PRON
cana-1321	54	10	is	be	AUX
cana-1321	54	11	obtained	obtain	VERB
cana-1321	54	12	by	by	ADP
cana-1321	54	13	a	a	DET
cana-1321	54	14	probabilistic	probabilistic	ADJ
cana-1321	54	15	analysis	analysis	NOUN
cana-1321	54	16	.	.	PUNCT
cana-1321	55	1	the	the	DET
cana-1321	55	2	calculations	calculation	NOUN
cana-1321	55	3	determine	determine	VERB
cana-1321	55	4	the	the	DET
cana-1321	55	5	limits	limit	NOUN
cana-1321	55	6	of	of	ADP
cana-1321	55	7	the	the	DET
cana-1321	55	8	absolute	absolute	ADJ
cana-1321	55	9	and	and	CCONJ
cana-1321	55	10	relative	relative	ADJ
cana-1321	55	11	mistakes	mistake	NOUN
cana-1321	55	12	for	for	ADP
cana-1321	55	13	each	each	DET
cana-1321	55	14	heuristic	heuristic	NOUN
cana-1321	55	15	used	use	VERB
cana-1321	55	16	to	to	PART
cana-1321	55	17	achieve	achieve	VERB
cana-1321	55	18	the	the	DET
cana-1321	55	19	best	good	ADJ
cana-1321	55	20	assembly	assembly	NOUN
cana-1321	55	21	of	of	ADP
cana-1321	55	22	series	series	NOUN
cana-1321	55	23	-	-	PUNCT
cana-1321	55	24	parallel	parallel	ADJ
cana-1321	55	25	systems	system	NOUN
cana-1321	55	26	.	.	PUNCT
cana-1321	56	1	fan	fan	PROPN
cana-1321	56	2	,	,	PUNCT
cana-1321	56	3	l.	l.	PROPN
cana-1321	56	4	t.	t.	PROPN
cana-1321	56	5	and	and	CCONJ
cana-1321	56	6	wang	wang	PROPN
cana-1321	56	7	,	,	PUNCT
cana-1321	56	8	t.	t.	PROPN
cana-1321	56	9	(	(	PUNCT
cana-1321	56	10	1997	1997	NUM
cana-1321	56	11	)	)	PUNCT
cana-1321	56	12	,	,	PUNCT
cana-1321	56	13	attained	attain	VERB
cana-1321	56	14	the	the	DET
cana-1321	56	15	utmost	utmost	ADJ
cana-1321	56	16	level	level	NOUN
cana-1321	56	17	of	of	ADP
cana-1321	56	18	redundancy	redundancy	NOUN
cana-1321	56	19	in	in	ADP
cana-1321	56	20	the	the	DET
cana-1321	56	21	parallel	parallel	ADJ
cana-1321	56	22	system	system	NOUN
cana-1321	56	23	by	by	ADP
cana-1321	56	24	employing	employ	VERB
cana-1321	56	25	a	a	DET
cana-1321	56	26	variation	variation	NOUN
cana-1321	56	27	technique	technique	NOUN
cana-1321	56	28	[	[	X
cana-1321	56	29	08	08	NUM
cana-1321	56	30	]	]	X
cana-1321	56	31	.	.	PUNCT
cana-1321	57	1	the	the	DET
cana-1321	57	2	objective	objective	NOUN
cana-1321	57	3	is	be	AUX
cana-1321	57	4	to	to	PART
cana-1321	57	5	optimize	optimize	VERB
cana-1321	57	6	the	the	DET
cana-1321	57	7	system	system	NOUN
cana-1321	57	8	's	's	PART
cana-1321	57	9	profitability	profitability	NOUN
cana-1321	57	10	.	.	PUNCT
cana-1321	58	1	this	this	DET
cana-1321	58	2	approach	approach	NOUN
cana-1321	58	3	offers	offer	VERB
cana-1321	58	4	a	a	DET
cana-1321	58	5	direct	direct	ADJ
cana-1321	58	6	and	and	CCONJ
cana-1321	58	7	efficient	efficient	ADJ
cana-1321	58	8	computational	computational	ADJ
cana-1321	58	9	way	way	NOUN
cana-1321	58	10	for	for	ADP
cana-1321	58	11	attaining	attain	VERB
cana-1321	58	12	the	the	DET
cana-1321	58	13	most	most	ADV
cana-1321	58	14	optimal	optimal	ADJ
cana-1321	58	15	design	design	NOUN
cana-1321	58	16	of	of	ADP
cana-1321	58	17	parallel	parallel	ADJ
cana-1321	58	18	systems	system	NOUN
cana-1321	58	19	with	with	ADP
cana-1321	58	20	multiple	multiple	ADJ
cana-1321	58	21	stages	stage	NOUN
cana-1321	58	22	.	.	PUNCT
cana-1321	59	1	two	two	NUM
cana-1321	59	2	precise	precise	ADJ
cana-1321	59	3	numerical	numerical	ADJ
cana-1321	59	4	examples	example	NOUN
cana-1321	59	5	are	be	AUX
cana-1321	59	6	presented	present	VERB
cana-1321	59	7	in	in	ADP
cana-1321	59	8	a	a	DET
cana-1321	59	9	thorough	thorough	ADJ
cana-1321	59	10	manner	manner	NOUN
cana-1321	59	11	.	.	PUNCT
cana-1321	60	1	prasad	prasad	PROPN
cana-1321	60	2	v.r	v.r	PROPN
cana-1321	60	3	.	.	PROPN
cana-1321	60	4	and	and	CCONJ
cana-1321	60	5	ragawachari	ragawachari	NOUN
cana-1321	60	6	(	(	PUNCT
cana-1321	60	7	1998	1998	NUM
cana-1321	60	8	)	)	PUNCT
cana-1321	60	9	,	,	PUNCT
cana-1321	60	10	expanded	expand	VERB
cana-1321	60	11	upon	upon	SCONJ
cana-1321	60	12	the	the	DET
cana-1321	60	13	research	research	NOUN
cana-1321	60	14	conducted	conduct	VERB
cana-1321	60	15	by	by	ADP
cana-1321	60	16	el	el	PROPN
cana-1321	60	17	-	-	PUNCT
cana-1321	60	18	neweihi	neweihi	PROPN
cana-1321	60	19	and	and	CCONJ
cana-1321	60	20	proschan	proschan	PROPN
cana-1321	60	21	sethuraman	sethuraman	NOUN
cana-1321	60	22	(	(	PUNCT
cana-1321	60	23	1986	1986	NUM
cana-1321	60	24	)	)	PUNCT
cana-1321	60	25	to	to	PART
cana-1321	60	26	enhance	enhance	VERB
cana-1321	60	27	the	the	DET
cana-1321	60	28	reliability	reliability	NOUN
cana-1321	60	29	of	of	ADP
cana-1321	60	30	a	a	DET
cana-1321	60	31	series	series	NOUN
cana-1321	60	32	-	-	PUNCT
cana-1321	60	33	parallel	parallel	ADJ
cana-1321	60	34	system	system	NOUN
cana-1321	60	35	by	by	ADP
cana-1321	60	36	optimizing	optimize	VERB
cana-1321	60	37	the	the	DET
cana-1321	60	38	allocation	allocation	NOUN
cana-1321	60	39	of	of	ADP
cana-1321	60	40	replaceable	replaceable	ADJ
cana-1321	60	41	components	component	NOUN
cana-1321	60	42	[	[	X
cana-1321	60	43	09	09	NUM
cana-1321	60	44	]	]	X
cana-1321	60	45	.	.	PUNCT
cana-1321	61	1	the	the	DET
cana-1321	61	2	paper	paper	NOUN
cana-1321	61	3	presented	present	VERB
cana-1321	61	4	an	an	DET
cana-1321	61	5	effective	effective	ADJ
cana-1321	61	6	approach	approach	NOUN
cana-1321	61	7	for	for	ADP
cana-1321	61	8	solving	solve	VERB
cana-1321	61	9	the	the	DET
cana-1321	61	10	np	np	NOUN
cana-1321	61	11	-	-	PUNCT
cana-1321	61	12	complete	complete	ADJ
cana-1321	61	13	reliability	reliability	NOUN
cana-1321	61	14	optimization	optimization	NOUN
cana-1321	61	15	problem	problem	NOUN
cana-1321	61	16	.	.	PUNCT
cana-1321	62	1	an	an	DET
cana-1321	62	2	approximation	approximation	NOUN
cana-1321	62	3	linear	linear	NOUN
cana-1321	62	4	programming	programming	NOUN
cana-1321	62	5	model	model	NOUN
cana-1321	62	6	is	be	AUX
cana-1321	62	7	created	create	VERB
cana-1321	62	8	to	to	PART
cana-1321	62	9	minimize	minimize	VERB
cana-1321	62	10	the	the	DET
cana-1321	62	11	mean	mean	ADJ
cana-1321	62	12	deviation	deviation	NOUN
cana-1321	62	13	of	of	ADP
cana-1321	62	14	the	the	DET
cana-1321	62	15	cut	cut	NOUN
cana-1321	62	16	-	-	PUNCT
cana-1321	62	17	set	set	VERB
cana-1321	62	18	risks	risk	NOUN
cana-1321	62	19	in	in	ADP
cana-1321	62	20	a	a	DET
cana-1321	62	21	series	series	NOUN
cana-1321	62	22	-	-	PUNCT
cana-1321	62	23	parallel	parallel	ADJ
cana-1321	62	24	system	system	NOUN
cana-1321	62	25	.	.	PUNCT
cana-1321	63	1	this	this	DET
cana-1321	63	2	model	model	NOUN
cana-1321	63	3	is	be	AUX
cana-1321	63	4	based	base	VERB
cana-1321	63	5	on	on	ADP
cana-1321	63	6	the	the	DET
cana-1321	63	7	fact	fact	NOUN
cana-1321	63	8	that	that	SCONJ
cana-1321	63	9	the	the	DET
cana-1321	63	10	dependability	dependability	NOUN
cana-1321	63	11	of	of	ADP
cana-1321	63	12	the	the	DET
cana-1321	63	13	system	system	NOUN
cana-1321	63	14	improves	improve	VERB
cana-1321	63	15	when	when	SCONJ
cana-1321	63	16	the	the	DET
cana-1321	63	17	cutset	cutset	NOUN
cana-1321	63	18	hazards	hazard	NOUN
cana-1321	63	19	are	be	AUX
cana-1321	63	20	more	more	ADV
cana-1321	63	21	homogeneous	homogeneous	ADJ
cana-1321	63	22	.	.	PUNCT
cana-1321	64	1	a	a	DET
cana-1321	64	2	supplementary	supplementary	ADJ
cana-1321	64	3	algorithm	algorithm	NOUN
cana-1321	64	4	is	be	AUX
cana-1321	64	5	offered	offer	VERB
cana-1321	64	6	to	to	PART
cana-1321	64	7	enhance	enhance	VERB
cana-1321	64	8	the	the	DET
cana-1321	64	9	resulting	result	VERB
cana-1321	64	10	allocation	allocation	NOUN
cana-1321	64	11	.	.	PUNCT
cana-1321	65	1	the	the	DET
cana-1321	65	2	numerical	numerical	ADJ
cana-1321	65	3	study	study	NOUN
cana-1321	65	4	of	of	ADP
cana-1321	65	5	this	this	DET
cana-1321	65	6	heuristic	heuristic	ADJ
cana-1321	65	7	method	method	NOUN
cana-1321	65	8	and	and	CCONJ
cana-1321	65	9	its	its	PRON
cana-1321	65	10	implementation	implementation	NOUN
cana-1321	65	11	on	on	ADP
cana-1321	65	12	a	a	DET
cana-1321	65	13	complex	complex	ADJ
cana-1321	65	14	problem	problem	NOUN
cana-1321	65	15	has	have	AUX
cana-1321	65	16	produced	produce	VERB
cana-1321	65	17	promising	promising	ADJ
cana-1321	65	18	outcomes	outcome	NOUN
cana-1321	65	19	.	.	PUNCT
cana-1321	66	1	kuo	kuo	PROPN
cana-1321	66	2	and	and	CCONJ
cana-1321	66	3	prasad	prasad	PROPN
cana-1321	66	4	(	(	PUNCT
cana-1321	66	5	2000	2000	NUM
cana-1321	66	6	)	)	PUNCT
cana-1321	66	7	,	,	PUNCT
cana-1321	66	8	addressed	address	VERB
cana-1321	66	9	a	a	DET
cana-1321	66	10	range	range	NOUN
cana-1321	66	11	of	of	ADP
cana-1321	66	12	reliability	reliability	NOUN
cana-1321	66	13	optimization	optimization	NOUN
cana-1321	66	14	problems	problem	NOUN
cana-1321	66	15	and	and	CCONJ
cana-1321	66	16	applied	apply	VERB
cana-1321	66	17	their	their	PRON
cana-1321	66	18	methods	method	NOUN
cana-1321	66	19	to	to	ADP
cana-1321	66	20	different	different	ADJ
cana-1321	66	21	design	design	NOUN
cana-1321	66	22	problems	problem	NOUN
cana-1321	66	23	[	[	X
cana-1321	66	24	10	10	NUM
cana-1321	66	25	]	]	PUNCT
cana-1321	66	26	.	.	PUNCT
cana-1321	67	1	in	in	ADP
cana-1321	67	2	addition	addition	NOUN
cana-1321	67	3	,	,	PUNCT
cana-1321	67	4	the	the	DET
cana-1321	67	5	researchers	researcher	NOUN
cana-1321	67	6	examined	examine	VERB
cana-1321	67	7	heuristics	heuristic	NOUN
cana-1321	67	8	,	,	PUNCT
cana-1321	67	9	metaheuristic	metaheuristic	ADJ
cana-1321	67	10	algorithms	algorithm	NOUN
cana-1321	67	11	,	,	PUNCT
cana-1321	67	12	exact	exact	ADJ
cana-1321	67	13	methods	method	NOUN
cana-1321	67	14	,	,	PUNCT
cana-1321	67	15	reliability	reliability	NOUN
cana-1321	67	16	-	-	PUNCT
cana-1321	67	17	redundancy	redundancy	NOUN
cana-1321	67	18	allocation	allocation	NOUN
cana-1321	67	19	,	,	PUNCT
cana-1321	67	20	multiobjective	multiobjective	ADJ
cana-1321	67	21	optimization	optimization	NOUN
cana-1321	67	22	,	,	PUNCT
cana-1321	67	23	and	and	CCONJ
cana-1321	67	24	the	the	DET
cana-1321	67	25	assignment	assignment	NOUN
cana-1321	67	26	of	of	ADP
cana-1321	67	27	replacement	replacement	NOUN
cana-1321	67	28	components	component	NOUN
cana-1321	67	29	in	in	ADP
cana-1321	67	30	dependability	dependability	NOUN
cana-1321	67	31	systems	system	NOUN
cana-1321	67	32	.	.	PUNCT
cana-1321	68	1	in	in	ADP
cana-1321	68	2	their	their	PRON
cana-1321	68	3	study	study	NOUN
cana-1321	68	4	,	,	PUNCT
cana-1321	68	5	mettas	metta	NOUN
cana-1321	68	6	[	[	X
cana-1321	68	7	2000	2000	NUM
cana-1321	68	8	]	]	PUNCT
cana-1321	68	9	,	,	PUNCT
cana-1321	68	10	introduced	introduce	VERB
cana-1321	68	11	a	a	DET
cana-1321	68	12	comprehensive	comprehensive	ADJ
cana-1321	68	13	model	model	NOUN
cana-1321	68	14	that	that	PRON
cana-1321	68	15	establishes	establish	VERB
cana-1321	68	16	the	the	DET
cana-1321	68	17	minimum	minimum	ADJ
cana-1321	68	18	level	level	NOUN
cana-1321	68	19	of	of	ADP
cana-1321	68	20	dependability	dependability	NOUN
cana-1321	68	21	necessary	necessary	ADJ
cana-1321	68	22	for	for	SCONJ
cana-1321	68	23	various	various	ADJ
cana-1321	68	24	components	component	NOUN
cana-1321	68	25	within	within	ADP
cana-1321	68	26	a	a	DET
cana-1321	68	27	system	system	NOUN
cana-1321	68	28	to	to	PART
cana-1321	68	29	achieve	achieve	VERB
cana-1321	68	30	the	the	DET
cana-1321	68	31	desired	desire	VERB
cana-1321	68	32	overall	overall	ADJ
cana-1321	68	33	reliability	reliability	NOUN
cana-1321	68	34	of	of	ADP
cana-1321	68	35	the	the	DET
cana-1321	68	36	system	system	NOUN
cana-1321	68	37	.	.	PUNCT
cana-1321	69	1	the	the	DET
cana-1321	69	2	model	model	NOUN
cana-1321	69	3	comprises	comprise	VERB
cana-1321	69	4	two	two	NUM
cana-1321	69	5	components	component	NOUN
cana-1321	69	6	.	.	PUNCT
cana-1321	70	1	the	the	DET
cana-1321	70	2	initial	initial	ADJ
cana-1321	70	3	component	component	NOUN
cana-1321	70	4	entails	entail	VERB
cana-1321	70	5	a	a	DET
cana-1321	70	6	formulation	formulation	NOUN
cana-1321	70	7	of	of	ADP
cana-1321	70	8	the	the	DET
cana-1321	70	9	allocation	allocation	NOUN
cana-1321	70	10	problem	problem	NOUN
cana-1321	70	11	using	use	VERB
cana-1321	70	12	nonlinear	nonlinear	ADJ
cana-1321	70	13	programming	programming	NOUN
cana-1321	70	14	.	.	PUNCT
cana-1321	71	1	the	the	DET
cana-1321	71	2	second	second	ADJ
cana-1321	71	3	component	component	NOUN
cana-1321	71	4	involves	involve	VERB
cana-1321	71	5	formulating	formulate	VERB
cana-1321	71	6	a	a	DET
cana-1321	71	7	cost	cost	NOUN
cana-1321	71	8	function	function	NOUN
cana-1321	71	9	to	to	PART
cana-1321	71	10	be	be	AUX
cana-1321	71	11	utilized	utilize	VERB
cana-1321	71	12	in	in	ADP
cana-1321	71	13	the	the	DET
cana-1321	71	14	nonlinear	nonlinear	ADJ
cana-1321	71	15	programming	programming	NOUN
cana-1321	71	16	technique	technique	NOUN
cana-1321	71	17	.	.	PUNCT
cana-1321	72	1	it	it	PRON
cana-1321	72	2	is	be	AUX
cana-1321	72	3	considered	consider	VERB
cana-1321	72	4	that	that	SCONJ
cana-1321	72	5	there	there	PRON
cana-1321	72	6	is	be	VERB
cana-1321	72	7	a	a	DET
cana-1321	72	8	general	general	ADJ
cana-1321	72	9	relationship	relationship	NOUN
cana-1321	72	10	between	between	ADP
cana-1321	72	11	the	the	DET
cana-1321	72	12	cost	cost	NOUN
cana-1321	72	13	and	and	CCONJ
cana-1321	72	14	the	the	DET
cana-1321	72	15	reliability	reliability	NOUN
cana-1321	72	16	of	of	ADP
cana-1321	72	17	a	a	DET
cana-1321	72	18	component	component	NOUN
cana-1321	72	19	in	in	ADP
cana-1321	72	20	this	this	DET
cana-1321	72	21	context	context	NOUN
cana-1321	72	22	.	.	PUNCT
cana-1321	73	1	a	a	DET
cana-1321	73	2	comprehensive	comprehensive	ADJ
cana-1321	73	3	examination	examination	NOUN
cana-1321	73	4	of	of	ADP
cana-1321	73	5	an	an	DET
cana-1321	73	6	over	over	ADP
cana-1321	73	7	-	-	PUNCT
cana-1321	73	8	reliability	reliability	NOUN
cana-1321	73	9	model	model	NOUN
cana-1321	73	10	,	,	PUNCT
cana-1321	73	11	considering	consider	VERB
cana-1321	73	12	multiple	multiple	ADJ
cana-1321	73	13	constraints	constraint	NOUN
cana-1321	73	14	,	,	PUNCT
cana-1321	73	15	was	be	AUX
cana-1321	73	16	undertaken	undertake	VERB
cana-1321	73	17	to	to	PART
cana-1321	73	18	maximize	maximize	VERB
cana-1321	73	19	the	the	DET
cana-1321	73	20	efficiency	efficiency	NOUN
cana-1321	73	21	of	of	ADP
cana-1321	73	22	the	the	DET
cana-1321	73	23	proposed	propose	VERB
cana-1321	73	24	configuration	configuration	NOUN
cana-1321	73	25	.	.	PUNCT
cana-1321	74	1	the	the	DET
cana-1321	74	2	current	current	ADJ
cana-1321	74	3	challenge	challenge	NOUN
cana-1321	74	4	involves	involve	VERB
cana-1321	74	5	exploring	explore	VERB
cana-1321	74	6	various	various	ADJ
cana-1321	74	7	unknowns	unknown	NOUN
cana-1321	74	8	individual	individual	ADJ
cana-1321	74	9	elements	element	NOUN
cana-1321	74	10	(	(	PUNCT
cana-1321	74	11	)	)	PUNCT
cana-1321	74	12	,	,	PUNCT
cana-1321	74	13	element	element	NOUN
cana-1321	74	14	reliability	reliability	NOUN
cana-1321	74	15	(	(	PUNCT
cana-1321	74	16	)	)	PUNCT
cana-1321	74	17	,	,	PUNCT
cana-1321	74	18	and	and	CCONJ
cana-1321	74	19	stage	stage	NOUN
cana-1321	74	20	reliability	reliability	NOUN
cana-1321	74	21	(	(	PUNCT
cana-1321	74	22	)	)	PUNCT
cana-1321	74	23	at	at	ADP
cana-1321	74	24	a	a	DET
cana-1321	74	25	specific	specific	ADJ
cana-1321	74	26	juncture	juncture	NOUN
cana-1321	74	27	.	.	PUNCT
cana-1321	75	1	these	these	DET
cana-1321	75	2	considerations	consideration	NOUN
cana-1321	75	3	aim	aim	VERB
cana-1321	75	4	to	to	PART
cana-1321	75	5	address	address	VERB
cana-1321	75	6	several	several	ADJ
cana-1321	75	7	constraints	constraint	NOUN
cana-1321	75	8	,	,	PUNCT
cana-1321	75	9	thereby	thereby	ADV
cana-1321	75	10	amplifying	amplify	VERB
cana-1321	75	11	structural	structural	ADJ
cana-1321	75	12	reliability	reliability	NOUN
cana-1321	75	13	(	(	PUNCT
cana-1321	75	14	and	and	CCONJ
cana-1321	75	15	leading	lead	VERB
cana-1321	75	16	to	to	ADP
cana-1321	75	17	the	the	DET
cana-1321	75	18	development	development	NOUN
cana-1321	75	19	of	of	ADP
cana-1321	75	20	a	a	DET
cana-1321	75	21	unified	unified	ADJ
cana-1321	75	22	reliability	reliability	NOUN
cana-1321	75	23	model	model	NOUN
cana-1321	75	24	(	(	PUNCT
cana-1321	75	25	urm	urm	PROPN
cana-1321	75	26	)	)	PUNCT
cana-1321	75	27	.	.	PUNCT
cana-1321	76	1	existing	exist	VERB
cana-1321	76	2	literature	literature	NOUN
cana-1321	76	3	indicates	indicate	VERB
cana-1321	76	4	that	that	SCONJ
cana-1321	76	5	enhancing	enhance	VERB
cana-1321	76	6	unified	unified	ADJ
cana-1321	76	7	reliability	reliability	NOUN
cana-1321	76	8	models	model	NOUN
cana-1321	76	9	involves	involve	VERB
cana-1321	76	10	incorporating	incorporate	VERB
cana-1321	76	11	value	value	NOUN
cana-1321	76	12	constraints	constraint	NOUN
cana-1321	76	13	,	,	PUNCT
cana-1321	76	14	establishing	establish	VERB
cana-1321	76	15	a	a	DET
cana-1321	76	16	fixed	fix	VERB
cana-1321	76	17	relationship	relationship	NOUN
cana-1321	76	18	between	between	ADP
cana-1321	76	19	value	value	NOUN
cana-1321	76	20	and	and	CCONJ
cana-1321	76	21	reliability	reliability	NOUN
cana-1321	76	22	.	.	PUNCT
cana-1321	77	1	in	in	ADP
cana-1321	77	2	a	a	DET
cana-1321	77	3	novel	novel	ADJ
cana-1321	77	4	approach	approach	NOUN
cana-1321	77	5	,	,	PUNCT
cana-1321	77	6	this	this	DET
cana-1321	77	7	study	study	NOUN
cana-1321	77	8	integrates	integrate	VERB
cana-1321	77	9	load	load	NOUN
cana-1321	77	10	and	and	CCONJ
cana-1321	77	11	size	size	NOUN
cana-1321	77	12	as	as	ADP
cana-1321	77	13	supplementary	supplementary	ADJ
cana-1321	77	14	constraints	constraint	NOUN
cana-1321	77	15	,	,	PUNCT
cana-1321	77	16	in	in	ADP
cana-1321	77	17	addition	addition	NOUN
cana-1321	77	18	to	to	ADP
cana-1321	77	19	value	value	NOUN
cana-1321	77	20	,	,	PUNCT
cana-1321	77	21	to	to	PART
cana-1321	77	22	formulate	formulate	VERB
cana-1321	77	23	an	an	DET
cana-1321	77	24	improved	improved	ADJ
cana-1321	77	25	redundant	redundant	ADJ
cana-1321	77	26	reliability	reliability	NOUN
cana-1321	77	27	system	system	NOUN
cana-1321	77	28	for	for	ADP
cana-1321	77	29	structures	structure	NOUN
cana-1321	77	30	following	follow	VERB
cana-1321	77	31	the	the	DET
cana-1321	77	32	parallel	parallel	ADJ
cana-1321	77	33	-	-	PUNCT
cana-1321	77	34	series	series	NOUN
cana-1321	77	35	composition	composition	NOUN
cana-1321	77	36	principle	principle	NOUN
cana-1321	77	37	.	.	PUNCT
cana-1321	78	1	2	2	X
cana-1321	78	2	.	.	X
cana-1321	78	3	methods	method	NOUN
cana-1321	78	4	2.1	2.1	NUM
cana-1321	78	5	.	.	PUNCT
cana-1321	79	1	assumptions	assumption	NOUN
cana-1321	79	2	and	and	CCONJ
cana-1321	79	3	symbols	symbol	NOUN
cana-1321	79	4			PROPN
cana-1321	79	5	rγk	rγk	PROPN
cana-1321	79	6	is	be	AUX
cana-1321	79	7	the	the	DET
cana-1321	79	8	probability	probability	NOUN
cana-1321	79	9	of	of	ADP
cana-1321	79	10	successful	successful	ADJ
cana-1321	79	11	operation	operation	NOUN
cana-1321	79	12	of	of	ADP
cana-1321	79	13	j	j	PROPN
cana-1321	79	14	th	th	PROPN
cana-1321	79	15	component	component	NOUN
cana-1321	79	16	in	in	ADP
cana-1321	79	17	i	i	PROPN
cana-1321	79	18	th	th	X
cana-1321	79	19	parallel	parallel	NOUN
cana-1321	79	20	path	path	NOUN
cana-1321	79	21	.	.	PUNCT
cana-1321	80	1	communications	communication	NOUN
cana-1321	80	2	on	on	ADP
cana-1321	80	3	applied	apply	VERB
cana-1321	80	4	nonlinear	nonlinear	ADJ
cana-1321	80	5	analysis	analysis	NOUN
cana-1321	80	6	issn	issn	NOUN
cana-1321	80	7	:	:	PUNCT
cana-1321	80	8	1074	1074	NUM
cana-1321	80	9	-	-	PUNCT
cana-1321	80	10	133x	133x	NUM
cana-1321	80	11	vol	vol	NOUN
cana-1321	80	12	31	31	NUM
cana-1321	80	13	no	no	NOUN
cana-1321	80	14	.	.	PUNCT
cana-1321	81	1	7s	7	NOUN
cana-1321	81	2	(	(	PUNCT
cana-1321	81	3	2024	2024	NUM
cana-1321	81	4	)	)	PUNCT
cana-1321	81	5	424	424	NUM
cana-1321	81	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	81	7			NOUN
cana-1321	82	1	γ	γ	PROPN
cana-1321	82	2	is	be	AUX
cana-1321	82	3	the	the	DET
cana-1321	82	4	number	number	NOUN
cana-1321	82	5	of	of	ADP
cana-1321	82	6	series	series	NOUN
cana-1321	82	7	components	component	NOUN
cana-1321	82	8	at	at	ADP
cana-1321	82	9	each	each	DET
cana-1321	82	10	stage	stage	NOUN
cana-1321	82	11	.	.	PUNCT
cana-1321	83	1			X
cana-1321	84	1	k	k	PROPN
cana-1321	84	2	is	be	AUX
cana-1321	84	3	number	number	NOUN
cana-1321	84	4	of	of	ADP
cana-1321	84	5	stages	stage	NOUN
cana-1321	84	6	in	in	ADP
cana-1321	84	7	parallel	parallel	ADJ
cana-1321	84	8			NOUN
cana-1321	84	9	homogeneity	homogeneity	NOUN
cana-1321	84	10	assumption	assumption	NOUN
cana-1321	84	11	:	:	PUNCT
cana-1321	84	12	all	all	DET
cana-1321	84	13	components	component	NOUN
cana-1321	84	14	within	within	ADP
cana-1321	84	15	each	each	DET
cana-1321	84	16	stage	stage	NOUN
cana-1321	84	17	are	be	AUX
cana-1321	84	18	considered	consider	VERB
cana-1321	84	19	identical	identical	ADJ
cana-1321	84	20	in	in	ADP
cana-1321	84	21	terms	term	NOUN
cana-1321	84	22	of	of	ADP
cana-1321	84	23	reliability	reliability	NOUN
cana-1321	84	24	.	.	PUNCT
cana-1321	85	1			X
cana-1321	85	2	statistical	statistical	ADJ
cana-1321	85	3	independence	independence	NOUN
cana-1321	85	4	assumption	assumption	NOUN
cana-1321	85	5	:	:	PUNCT
cana-1321	85	6	components	component	NOUN
cana-1321	85	7	are	be	AUX
cana-1321	85	8	treated	treat	VERB
cana-1321	85	9	as	as	ADP
cana-1321	85	10	statistically	statistically	ADV
cana-1321	85	11	independent	independent	ADJ
cana-1321	85	12	entities	entity	NOUN
cana-1321	85	13	,	,	PUNCT
cana-1321	85	14	implying	imply	VERB
cana-1321	85	15	that	that	SCONJ
cana-1321	85	16	the	the	DET
cana-1321	85	17	failure	failure	NOUN
cana-1321	85	18	of	of	ADP
cana-1321	85	19	one	one	NUM
cana-1321	85	20	element	element	NOUN
cana-1321	85	21	does	do	AUX
cana-1321	85	22	not	not	PART
cana-1321	85	23	impact	impact	VERB
cana-1321	85	24	the	the	DET
cana-1321	85	25	performance	performance	NOUN
cana-1321	85	26	of	of	ADP
cana-1321	85	27	other	other	ADJ
cana-1321	85	28	elements	element	NOUN
cana-1321	85	29	in	in	ADP
cana-1321	85	30	the	the	DET
cana-1321	85	31	system	system	NOUN
cana-1321	85	32	.	.	PUNCT
cana-1321	86	1	=	=	NOUN
cana-1321	86	2	system	system	NOUN
cana-1321	86	3	-	-	PUNCT
cana-1321	86	4	dependability	dependability	NOUN
cana-1321	86	5	=	=	NOUN
cana-1321	86	6	phase	phase	NOUN
cana-1321	86	7	-	-	PUNCT
cana-1321	86	8	dependability	dependability	NOUN
cana-1321	86	9	0	0	PUNCT
cana-1321	86	10	<	<	X
cana-1321	86	11	<	<	X
cana-1321	86	12	1	1	NUM
cana-1321	86	13	=	=	NOUN
cana-1321	86	14	component	component	NOUN
cana-1321	86	15	-	-	PUNCT
cana-1321	86	16	level	level	NOUN
cana-1321	86	17	reliability	reliability	NOUN
cana-1321	86	18	within	within	ADP
cana-1321	86	19	a	a	DET
cana-1321	86	20	phase	phase	NOUN
cana-1321	86	21	;	;	PUNCT
cana-1321	86	22	0	0	PUNCT
cana-1321	86	23	<	<	X
cana-1321	86	24	<	<	X
cana-1321	86	25	1	1	NUM
cana-1321	86	26	=	=	NOUN
cana-1321	86	27	number	number	NOUN
cana-1321	86	28	of	of	ADP
cana-1321	86	29	components	component	NOUN
cana-1321	86	30	within	within	ADP
cana-1321	86	31	each	each	DET
cana-1321	86	32	phase	phase	NOUN
cana-1321	86	33	=	=	NOUN
cana-1321	86	34	price	price	NOUN
cana-1321	86	35	-	-	PUNCT
cana-1321	86	36	component	component	NOUN
cana-1321	86	37	within	within	ADP
cana-1321	86	38	each	each	DET
cana-1321	86	39	phase	phase	NOUN
cana-1321	86	40	=	=	PUNCT
cana-1321	86	41	weight	weight	NOUN
cana-1321	86	42	-	-	PUNCT
cana-1321	86	43	component	component	NOUN
cana-1321	86	44	within	within	ADP
cana-1321	86	45	each	each	DET
cana-1321	86	46	phase	phase	NOUN
cana-1321	86	47	=	=	SYM
cana-1321	86	48	volume	volume	NOUN
cana-1321	86	49	-	-	PUNCT
cana-1321	86	50	component	component	NOUN
cana-1321	86	51	within	within	ADP
cana-1321	86	52	each	each	DET
cana-1321	86	53	phase	phase	NOUN
cana-1321	86	54	=	=	PUNCT
cana-1321	86	55	maximum	maximum	ADJ
cana-1321	86	56	permissible	permissible	ADJ
cana-1321	86	57	system	system	NOUN
cana-1321	86	58	-	-	PUNCT
cana-1321	86	59	price	price	NOUN
cana-1321	86	60	=	=	PUNCT
cana-1321	86	61	maximum	maximum	ADJ
cana-1321	86	62	permissible	permissible	ADJ
cana-1321	86	63	system	system	NOUN
cana-1321	86	64	-	-	PUNCT
cana-1321	86	65	weight	weight	NOUN
cana-1321	86	66	=	=	PUNCT
cana-1321	86	67	maximum	maximum	ADJ
cana-1321	86	68	permissible	permissible	ADJ
cana-1321	86	69	system	system	NOUN
cana-1321	86	70	-	-	PUNCT
cana-1321	86	71	volume	volume	NOUN
cana-1321	86	72	lmm	lmm	PROPN
cana-1321	86	73	lagrangean	lagrangean	ADJ
cana-1321	86	74	multiplier	multipli	ADJ
cana-1321	86	75	method	method	NOUN
cana-1321	86	76	lmmwr	lmmwr	ADJ
cana-1321	86	77	lagrangean	lagrangean	ADJ
cana-1321	86	78	multiplier	multipli	ADJ
cana-1321	86	79	method	method	NOUN
cana-1321	86	80	with	with	ADP
cana-1321	86	81	rounding	round	VERB
cana-1321	86	82	-	-	PUNCT
cana-1321	86	83	off	off	ADP
cana-1321	86	84	ipm	ipm	NOUN
cana-1321	86	85	integer	integer	NOUN
cana-1321	86	86	programming	programming	NOUN
cana-1321	86	87	method	method	NOUN
cana-1321	86	88	irrm	irrm	ADJ
cana-1321	86	89	integrated	integrate	VERB
cana-1321	86	90	redundant	redundant	ADJ
cana-1321	86	91	reliability	reliability	NOUN
cana-1321	86	92	model	model	NOUN
cana-1321	86	93	,	,	PUNCT
cana-1321	86	94	,	,	PUNCT
cana-1321	86	95	,	,	PUNCT
cana-1321	86	96	,	,	PUNCT
cana-1321	86	97	,	,	PUNCT
cana-1321	86	98	are	be	AUX
cana-1321	86	99	constants	constant	NOUN
cana-1321	86	100	.	.	PUNCT
cana-1321	87	1	2.2	2.2	NUM
cana-1321	87	2	computational	computational	ADJ
cana-1321	87	3	evaluation	evaluation	NOUN
cana-1321	87	4	(	(	PUNCT
cana-1321	87	5	rsa	rsa	NOUN
cana-1321	87	6	)	)	PUNCT
cana-1321	87	7	the	the	DET
cana-1321	87	8	efficiency	efficiency	NOUN
cana-1321	87	9	of	of	ADP
cana-1321	87	10	the	the	DET
cana-1321	87	11	system	system	NOUN
cana-1321	87	12	to	to	ADP
cana-1321	87	13	the	the	DET
cana-1321	87	14	provided	provide	VERB
cana-1321	87	15	worth	worth	NOUN
cana-1321	87	16	function	function	PROPN
cana-1321	87	17	∏	∏	PROPN
cana-1321	87	18	[	[	PUNCT
cana-1321	87	19	∏	∏	X
cana-1321	87	20	]	]	PUNCT
cana-1321	87	21	(	(	PUNCT
cana-1321	87	22	1	1	X
cana-1321	87	23	)	)	PUNCT
cana-1321	87	24	the	the	DET
cana-1321	87	25	following	follow	VERB
cana-1321	87	26	relationship	relationship	NOUN
cana-1321	87	27	between	between	ADP
cana-1321	87	28	worth	worth	NOUN
cana-1321	87	29	and	and	CCONJ
cana-1321	87	30	efficiency	efficiency	NOUN
cana-1321	87	31	is	be	AUX
cana-1321	87	32	used	use	VERB
cana-1321	87	33	to	to	PART
cana-1321	87	34	calculate	calculate	VERB
cana-1321	87	35	the	the	DET
cana-1321	87	36	worth	worth	ADJ
cana-1321	87	37	coefficient	coefficient	NOUN
cana-1321	87	38	of	of	ADP
cana-1321	87	39	each	each	DET
cana-1321	87	40	unit	unit	NOUN
cana-1321	87	41	in	in	ADP
cana-1321	87	42	phase	phase	NOUN
cana-1321	87	43	(	(	PUNCT
cana-1321	87	44	2	2	NUM
cana-1321	87	45	)	)	PUNCT
cana-1321	87	46	therefore	therefore	ADV
cana-1321	87	47	,	,	PUNCT
cana-1321	87	48	(	(	PUNCT
cana-1321	87	49	2a	2a	NUM
cana-1321	87	50	)	)	PUNCT
cana-1321	87	51	similarly	similarly	ADV
cana-1321	87	52	,	,	PUNCT
cana-1321	87	53	(	(	PUNCT
cana-1321	87	54	2b	2b	NOUN
cana-1321	87	55	)	)	PUNCT
cana-1321	87	56	communications	communication	NOUN
cana-1321	87	57	on	on	ADP
cana-1321	87	58	applied	apply	VERB
cana-1321	87	59	nonlinear	nonlinear	ADJ
cana-1321	87	60	analysis	analysis	NOUN
cana-1321	87	61	issn	issn	NOUN
cana-1321	87	62	:	:	PUNCT
cana-1321	87	63	1074	1074	NUM
cana-1321	87	64	-	-	PUNCT
cana-1321	87	65	133x	133x	NUM
cana-1321	87	66	vol	vol	NOUN
cana-1321	87	67	31	31	NUM
cana-1321	87	68	no	no	NOUN
cana-1321	87	69	.	.	PUNCT
cana-1321	88	1	7s	7	NOUN
cana-1321	88	2	(	(	PUNCT
cana-1321	88	3	2024	2024	NUM
cana-1321	88	4	)	)	PUNCT
cana-1321	88	5	425	425	NUM
cana-1321	88	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	88	7	(	(	PUNCT
cana-1321	88	8	2c	2c	NOUN
cana-1321	88	9	)	)	PUNCT
cana-1321	88	10	since	since	SCONJ
cana-1321	88	11	price	price	NOUN
cana-1321	88	12	-	-	PUNCT
cana-1321	88	13	components	component	NOUN
cana-1321	88	14	are	be	AUX
cana-1321	88	15	linear	linear	ADJ
cana-1321	88	16	in	in	ADP
cana-1321	88	17	,	,	PUNCT
cana-1321	88	18	∑	∑	PROPN
cana-1321	88	19	(	(	PUNCT
cana-1321	88	20	3a	3a	NUM
cana-1321	88	21	)	)	PUNCT
cana-1321	88	22	similarly	similarly	ADV
cana-1321	88	23	weight	weight	NOUN
cana-1321	88	24	-	-	PUNCT
cana-1321	88	25	components	component	NOUN
cana-1321	88	26	and	and	CCONJ
cana-1321	88	27	volume	volume	NOUN
cana-1321	88	28	-	-	PUNCT
cana-1321	88	29	components	component	NOUN
cana-1321	88	30	are	be	AUX
cana-1321	88	31	also	also	ADV
cana-1321	88	32	linear	linear	ADJ
cana-1321	88	33	in	in	ADP
cana-1321	88	34	,	,	PUNCT
cana-1321	88	35	∑	∑	PROPN
cana-1321	88	36	(	(	PUNCT
cana-1321	88	37	3b	3b	NUM
cana-1321	88	38	)	)	PUNCT
cana-1321	88	39	∑	∑	PUNCT
cana-1321	88	40	(	(	PUNCT
cana-1321	88	41	3c	3c	NUM
cana-1321	88	42	)	)	PUNCT
cana-1321	88	43	substituting	substitute	VERB
cana-1321	88	44	(	(	PUNCT
cana-1321	88	45	2	2	NUM
cana-1321	88	46	)	)	PUNCT
cana-1321	88	47	in	in	ADP
cana-1321	88	48	(	(	PUNCT
cana-1321	88	49	3	3	NUM
cana-1321	88	50	)	)	PUNCT
cana-1321	88	51	∑	∑	PRON
cana-1321	88	52	(	(	PUNCT
cana-1321	88	53	4a	4a	NUM
cana-1321	88	54	)	)	PUNCT
cana-1321	88	55	∑	∑	PUNCT
cana-1321	88	56	(	(	PUNCT
cana-1321	88	57	4b	4b	X
cana-1321	88	58	)	)	PUNCT
cana-1321	88	59	∑	∑	PUNCT
cana-1321	88	60	(	(	PUNCT
cana-1321	88	61	4c	4c	NOUN
cana-1321	88	62	)	)	PUNCT
cana-1321	88	63	the	the	DET
cana-1321	88	64	transformed	transform	VERB
cana-1321	88	65	equation	equation	NOUN
cana-1321	88	66	through	through	ADP
cana-1321	88	67	the	the	DET
cana-1321	88	68	relation	relation	NOUN
cana-1321	88	69	(	(	PUNCT
cana-1321	88	70	5	5	NUM
cana-1321	88	71	)	)	PUNCT
cana-1321	88	72	where	where	SCONJ
cana-1321	88	73	∏	∏	PROPN
cana-1321	88	74	[	[	PUNCT
cana-1321	88	75	]	]	X
cana-1321	88	76	(	(	PUNCT
cana-1321	88	77	6	6	NUM
cana-1321	88	78	)	)	PUNCT
cana-1321	88	79	subject	subject	NOUN
cana-1321	88	80	to	to	ADP
cana-1321	88	81	the	the	DET
cana-1321	88	82	constraints	constraint	NOUN
cana-1321	88	83	∑	∑	PUNCT
cana-1321	88	84	(	(	PUNCT
cana-1321	88	85	7a	7a	NUM
cana-1321	88	86	)	)	PUNCT
cana-1321	88	87	∑	∑	PUNCT
cana-1321	88	88	(	(	PUNCT
cana-1321	88	89	7b	7b	NUM
cana-1321	88	90	)	)	PUNCT
cana-1321	88	91	∑	∑	PUNCT
cana-1321	88	92	(	(	PUNCT
cana-1321	88	93	7c	7c	NOUN
cana-1321	88	94	)	)	PUNCT
cana-1321	88	95	positivity	positivity	NOUN
cana-1321	88	96	restrictions	restriction	NOUN
cana-1321	88	97	a	a	DET
cana-1321	88	98	lagrangean	lagrangean	ADJ
cana-1321	88	99	function	function	NOUN
cana-1321	88	100	is	be	AUX
cana-1321	88	101	defined	define	VERB
cana-1321	88	102	as	as	ADP
cana-1321	88	103	[	[	X
cana-1321	88	104	∑	∑	X
cana-1321	88	105	]	]	PUNCT
cana-1321	89	1	[	[	X
cana-1321	89	2	∑	∑	X
cana-1321	89	3	]	]	PUNCT
cana-1321	89	4	[	[	X
cana-1321	89	5	∑	∑	X
cana-1321	89	6	]	]	X
cana-1321	89	7	(	(	PUNCT
cana-1321	89	8	8)	8)	NUM
cana-1321	89	9	the	the	DET
cana-1321	89	10	lagrangean	lagrangean	ADJ
cana-1321	89	11	function	function	NOUN
cana-1321	89	12	can	can	AUX
cana-1321	89	13	be	be	AUX
cana-1321	89	14	used	use	VERB
cana-1321	89	15	to	to	PART
cana-1321	89	16	find	find	VERB
cana-1321	89	17	the	the	DET
cana-1321	89	18	ideal	ideal	ADJ
cana-1321	89	19	point	point	NOUN
cana-1321	89	20	and	and	CCONJ
cana-1321	89	21	separating	separate	VERB
cana-1321	89	22	it	it	PRON
cana-1321	89	23	by	by	ADV
cana-1321	89	24	,	,	PUNCT
cana-1321	89	25	,	,	PUNCT
cana-1321	89	26	and	and	CCONJ
cana-1321	89	27	.	.	PUNCT
cana-1321	90	1	=	=	NOUN
cana-1321	90	2	1	1	NUM
cana-1321	90	3	∑	∑	PUNCT
cana-1321	90	4	[	[	X
cana-1321	90	5	∑	∑	X
cana-1321	90	6	]	]	PUNCT
cana-1321	90	7	[	[	X
cana-1321	90	8	∑	∑	X
cana-1321	90	9	]	]	X
cana-1321	90	10	(	(	PUNCT
cana-1321	90	11	9	9	NUM
cana-1321	90	12	)	)	PUNCT
cana-1321	90	13	∑	∑	PUNCT
cana-1321	90	14	[	[	PUNCT
cana-1321	90	15	]	]	X
cana-1321	90	16	∑	∑	PUNCT
cana-1321	90	17	[	[	PUNCT
cana-1321	90	18	]	]	X
cana-1321	90	19	communications	communication	NOUN
cana-1321	90	20	on	on	ADP
cana-1321	90	21	applied	apply	VERB
cana-1321	90	22	nonlinear	nonlinear	ADJ
cana-1321	90	23	analysis	analysis	NOUN
cana-1321	90	24	issn	issn	NOUN
cana-1321	90	25	:	:	PUNCT
cana-1321	90	26	1074	1074	NUM
cana-1321	90	27	-	-	PUNCT
cana-1321	90	28	133x	133x	NUM
cana-1321	90	29	vol	vol	NOUN
cana-1321	90	30	31	31	NUM
cana-1321	90	31	no	no	NOUN
cana-1321	90	32	.	.	PUNCT
cana-1321	91	1	7s	7	NOUN
cana-1321	91	2	(	(	PUNCT
cana-1321	91	3	2024	2024	NUM
cana-1321	91	4	)	)	PUNCT
cana-1321	91	5	426	426	NUM
cana-1321	91	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	91	7	∑	∑	PUNCT
cana-1321	91	8	[	[	PUNCT
cana-1321	91	9	]	]	X
cana-1321	91	10	(	(	PUNCT
cana-1321	91	11	10	10	NUM
cana-1321	91	12	)	)	PUNCT
cana-1321	91	13	∑	∑	PUNCT
cana-1321	91	14	(	(	PUNCT
cana-1321	91	15	11	11	NUM
cana-1321	91	16	)	)	PUNCT
cana-1321	91	17	∑	∑	PUNCT
cana-1321	91	18	(	(	PUNCT
cana-1321	91	19	12	12	NUM
cana-1321	91	20	)	)	PUNCT
cana-1321	91	21	∑	∑	PUNCT
cana-1321	91	22	(	(	PUNCT
cana-1321	91	23	13	13	NUM
cana-1321	91	24	)	)	PUNCT
cana-1321	91	25	where	where	SCONJ
cana-1321	91	26	are	be	AUX
cana-1321	91	27	lagrangean	lagrangean	ADJ
cana-1321	91	28	multipliers	multiplier	NOUN
cana-1321	91	29	.	.	PUNCT
cana-1321	92	1	the	the	DET
cana-1321	92	2	determination	determination	NOUN
cana-1321	92	3	of	of	ADP
cana-1321	92	4	quantities	quantity	NOUN
cana-1321	92	5	such	such	ADJ
cana-1321	92	6	as	as	ADP
cana-1321	92	7	the	the	DET
cana-1321	92	8	number	number	NOUN
cana-1321	92	9	of	of	ADP
cana-1321	92	10	elements	element	NOUN
cana-1321	92	11	in	in	ADP
cana-1321	92	12	each	each	DET
cana-1321	92	13	phase	phase	NOUN
cana-1321	92	14	(	(	PUNCT
cana-1321	92	15	)	)	PUNCT
cana-1321	92	16	,	,	PUNCT
cana-1321	92	17	optimal	optimal	ADJ
cana-1321	92	18	component	component	NOUN
cana-1321	92	19	reliability	reliability	NOUN
cana-1321	92	20	(	(	PUNCT
cana-1321	92	21	)	)	PUNCT
cana-1321	92	22	,	,	PUNCT
cana-1321	92	23	stage	stage	NOUN
cana-1321	92	24	reliability	reliability	NOUN
cana-1321	92	25	(	(	PUNCT
cana-1321	92	26	)	)	PUNCT
cana-1321	92	27	,	,	PUNCT
cana-1321	92	28	and	and	CCONJ
cana-1321	92	29	structural	structural	ADJ
cana-1321	92	30	reliability	reliability	NOUN
cana-1321	92	31	(	(	PUNCT
cana-1321	92	32	)	)	PUNCT
cana-1321	92	33	is	be	AUX
cana-1321	92	34	achieved	achieve	VERB
cana-1321	92	35	using	use	VERB
cana-1321	92	36	the	the	DET
cana-1321	92	37	lagrangean	lagrangean	ADJ
cana-1321	92	38	method	method	NOUN
cana-1321	92	39	.	.	PUNCT
cana-1321	93	1	reliability	reliability	NOUN
cana-1321	93	2	engineering	engineering	NOUN
cana-1321	93	3	places	place	VERB
cana-1321	93	4	significant	significant	ADJ
cana-1321	93	5	emphasis	emphasis	NOUN
cana-1321	93	6	on	on	ADP
cana-1321	93	7	the	the	DET
cana-1321	93	8	optimal	optimal	ADJ
cana-1321	93	9	allocation	allocation	NOUN
cana-1321	93	10	of	of	ADP
cana-1321	93	11	components	component	NOUN
cana-1321	93	12	in	in	ADP
cana-1321	93	13	parallel	parallel	ADJ
cana-1321	93	14	-	-	PUNCT
cana-1321	93	15	series	series	NOUN
cana-1321	93	16	systems	system	NOUN
cana-1321	93	17	,	,	PUNCT
cana-1321	93	18	a	a	DET
cana-1321	93	19	critical	critical	ADJ
cana-1321	93	20	consideration	consideration	NOUN
cana-1321	93	21	in	in	ADP
cana-1321	93	22	this	this	DET
cana-1321	93	23	field	field	NOUN
cana-1321	93	24	.	.	PUNCT
cana-1321	94	1	researchers	researcher	NOUN
cana-1321	94	2	have	have	AUX
cana-1321	94	3	extensively	extensively	ADV
cana-1321	94	4	investigated	investigate	VERB
cana-1321	94	5	this	this	DET
cana-1321	94	6	domain	domain	NOUN
cana-1321	94	7	,	,	PUNCT
cana-1321	94	8	focusing	focus	VERB
cana-1321	94	9	on	on	ADP
cana-1321	94	10	exact	exact	ADJ
cana-1321	94	11	algorithms	algorithm	NOUN
cana-1321	94	12	,	,	PUNCT
cana-1321	94	13	redundancy	redundancy	NOUN
cana-1321	94	14	allocations	allocation	NOUN
cana-1321	94	15	,	,	PUNCT
cana-1321	94	16	optimal	optimal	ADJ
cana-1321	94	17	assignment	assignment	NOUN
cana-1321	94	18	of	of	ADP
cana-1321	94	19	interchangeable	interchangeable	ADJ
cana-1321	94	20	components	component	NOUN
cana-1321	94	21	,	,	PUNCT
cana-1321	94	22	and	and	CCONJ
cana-1321	94	23	heuristic	heuristic	ADJ
cana-1321	94	24	approaches	approach	NOUN
cana-1321	94	25	.	.	PUNCT
cana-1321	95	1	sankaraiah	sankaraiah	PROPN
cana-1321	95	2	g.	g.	PROPN
cana-1321	95	3	,	,	PUNCT
cana-1321	95	4	et	et	PROPN
cana-1321	95	5	.	.	PUNCT
cana-1321	96	1	al	al	PROPN
cana-1321	96	2	.	.	PROPN
cana-1321	96	3	,	,	PUNCT
cana-1321	96	4	(	(	PUNCT
cana-1321	96	5	2011	2011	NUM
cana-1321	96	6	)	)	PUNCT
cana-1321	96	7	,	,	PUNCT
cana-1321	96	8	conducted	conduct	VERB
cana-1321	96	9	a	a	DET
cana-1321	96	10	study	study	NOUN
cana-1321	96	11	to	to	PART
cana-1321	96	12	examine	examine	VERB
cana-1321	96	13	the	the	DET
cana-1321	96	14	impact	impact	NOUN
cana-1321	96	15	of	of	ADP
cana-1321	96	16	various	various	ADJ
cana-1321	96	17	restrictions	restriction	NOUN
cana-1321	96	18	on	on	ADP
cana-1321	96	19	system	system	NOUN
cana-1321	96	20	reliability	reliability	NOUN
cana-1321	96	21	[	[	X
cana-1321	96	22	12	12	NUM
cana-1321	96	23	]	]	PUNCT
cana-1321	96	24	.	.	PUNCT
cana-1321	97	1	an	an	DET
cana-1321	97	2	integrated	integrate	VERB
cana-1321	97	3	redundant	redundant	ADJ
cana-1321	97	4	reliability	reliability	NOUN
cana-1321	97	5	system	system	NOUN
cana-1321	97	6	is	be	AUX
cana-1321	97	7	analyzed	analyze	VERB
cana-1321	97	8	by	by	ADP
cana-1321	97	9	modeling	modeling	NOUN
cana-1321	97	10	and	and	CCONJ
cana-1321	97	11	solving	solve	VERB
cana-1321	97	12	it	it	PRON
cana-1321	97	13	using	use	VERB
cana-1321	97	14	a	a	DET
cana-1321	97	15	lagrangian	lagrangian	ADJ
cana-1321	97	16	multiplier	multiplier	NOUN
cana-1321	97	17	.	.	PUNCT
cana-1321	98	1	this	this	DET
cana-1321	98	2	approach	approach	NOUN
cana-1321	98	3	provides	provide	VERB
cana-1321	98	4	a	a	DET
cana-1321	98	5	solution	solution	NOUN
cana-1321	98	6	for	for	ADP
cana-1321	98	7	the	the	DET
cana-1321	98	8	number	number	NOUN
cana-1321	98	9	of	of	ADP
cana-1321	98	10	components	component	NOUN
cana-1321	98	11	in	in	ADP
cana-1321	98	12	the	the	DET
cana-1321	98	13	system	system	NOUN
cana-1321	98	14	and	and	CCONJ
cana-1321	98	15	the	the	DET
cana-1321	98	16	dependability	dependability	NOUN
cana-1321	98	17	of	of	ADP
cana-1321	98	18	each	each	DET
cana-1321	98	19	component	component	NOUN
cana-1321	98	20	at	at	ADP
cana-1321	98	21	each	each	DET
cana-1321	98	22	stage	stage	NOUN
cana-1321	98	23	,	,	PUNCT
cana-1321	98	24	represented	represent	VERB
cana-1321	98	25	as	as	ADP
cana-1321	98	26	real	real	ADV
cana-1321	98	27	-	-	PUNCT
cana-1321	98	28	valued	value	VERB
cana-1321	98	29	values	value	NOUN
cana-1321	98	30	.	.	PUNCT
cana-1321	99	1	a	a	DET
cana-1321	99	2	heuristic	heuristic	ADJ
cana-1321	99	3	algorithm	algorithm	NOUN
cana-1321	99	4	and	and	CCONJ
cana-1321	99	5	an	an	DET
cana-1321	99	6	integer	integer	NOUN
cana-1321	99	7	programming	programming	NOUN
cana-1321	99	8	technique	technique	NOUN
cana-1321	99	9	are	be	AUX
cana-1321	99	10	used	use	VERB
cana-1321	99	11	to	to	PART
cana-1321	99	12	thoroughly	thoroughly	ADV
cana-1321	99	13	study	study	VERB
cana-1321	99	14	the	the	DET
cana-1321	99	15	problem	problem	NOUN
cana-1321	99	16	and	and	CCONJ
cana-1321	99	17	obtain	obtain	VERB
cana-1321	99	18	a	a	DET
cana-1321	99	19	solution	solution	NOUN
cana-1321	99	20	in	in	ADP
cana-1321	99	21	the	the	DET
cana-1321	99	22	form	form	NOUN
cana-1321	99	23	of	of	ADP
cana-1321	99	24	an	an	DET
cana-1321	99	25	integer	integer	NOUN
cana-1321	99	26	.	.	PUNCT
cana-1321	100	1	the	the	DET
cana-1321	100	2	validity	validity	NOUN
cana-1321	100	3	of	of	ADP
cana-1321	100	4	these	these	DET
cana-1321	100	5	methods	method	NOUN
cana-1321	100	6	is	be	AUX
cana-1321	100	7	confirmed	confirm	VERB
cana-1321	100	8	by	by	ADP
cana-1321	100	9	sensitivity	sensitivity	NOUN
cana-1321	100	10	analysis	analysis	NOUN
cana-1321	100	11	.	.	PUNCT
cana-1321	101	1	sasikala	sasikala	PROPN
cana-1321	101	2	,	,	PUNCT
cana-1321	101	3	palle	palle	PROPN
cana-1321	101	4	.	.	PROPN
cana-1321	101	5	,	,	PUNCT
cana-1321	101	6	et	et	PROPN
cana-1321	101	7	.	.	PUNCT
cana-1321	102	1	al	al	PROPN
cana-1321	102	2	.	.	PROPN
cana-1321	102	3	,	,	PUNCT
cana-1321	102	4	(	(	PUNCT
cana-1321	102	5	2013	2013	NUM
cana-1321	102	6	)	)	PUNCT
cana-1321	102	7	,	,	PUNCT
cana-1321	102	8	developed	develop	VERB
cana-1321	102	9	an	an	DET
cana-1321	102	10	integrated	integrate	VERB
cana-1321	102	11	reliability	reliability	NOUN
cana-1321	102	12	model	model	NOUN
cana-1321	102	13	for	for	SCONJ
cana-1321	102	14	a	a	DET
cana-1321	102	15	parallelseries	parallelserie	NOUN
cana-1321	102	16	redundant	redundant	ADJ
cana-1321	102	17	system	system	NOUN
cana-1321	102	18	by	by	ADP
cana-1321	102	19	utilizing	utilize	VERB
cana-1321	102	20	the	the	DET
cana-1321	102	21	lagrangean	lagrangean	ADJ
cana-1321	102	22	multiplier	multipli	ADJ
cana-1321	102	23	method	method	NOUN
cana-1321	102	24	[	[	X
cana-1321	102	25	13	13	NUM
cana-1321	102	26	]	]	PUNCT
cana-1321	102	27	.	.	PUNCT
cana-1321	103	1	this	this	DET
cana-1321	103	2	method	method	NOUN
cana-1321	103	3	was	be	AUX
cana-1321	103	4	used	use	VERB
cana-1321	103	5	to	to	PART
cana-1321	103	6	determine	determine	VERB
cana-1321	103	7	the	the	DET
cana-1321	103	8	optimal	optimal	ADJ
cana-1321	103	9	values	value	NOUN
cana-1321	103	10	for	for	ADP
cana-1321	103	11	the	the	DET
cana-1321	103	12	number	number	NOUN
cana-1321	103	13	of	of	ADP
cana-1321	103	14	components	component	NOUN
cana-1321	103	15	,	,	PUNCT
cana-1321	103	16	component	component	NOUN
cana-1321	103	17	reliabilities	reliability	NOUN
cana-1321	103	18	,	,	PUNCT
cana-1321	103	19	and	and	CCONJ
cana-1321	103	20	stage	stage	NOUN
cana-1321	103	21	reliabilities	reliability	NOUN
cana-1321	103	22	in	in	ADP
cana-1321	103	23	order	order	NOUN
cana-1321	103	24	to	to	PART
cana-1321	103	25	maximize	maximize	VERB
cana-1321	103	26	system	system	NOUN
cana-1321	103	27	reliability	reliability	NOUN
cana-1321	103	28	.	.	PUNCT
cana-1321	104	1	to	to	PART
cana-1321	104	2	obtain	obtain	VERB
cana-1321	104	3	an	an	DET
cana-1321	104	4	integer	integer	NOUN
cana-1321	104	5	solution	solution	NOUN
cana-1321	104	6	,	,	PUNCT
cana-1321	104	7	the	the	DET
cana-1321	104	8	dynamic	dynamic	ADJ
cana-1321	104	9	programming	programming	NOUN
cana-1321	104	10	method	method	NOUN
cana-1321	104	11	was	be	AUX
cana-1321	104	12	applied	apply	VERB
cana-1321	104	13	.	.	PUNCT
cana-1321	105	1	this	this	DET
cana-1321	105	2	method	method	NOUN
cana-1321	105	3	produces	produce	VERB
cana-1321	105	4	a	a	DET
cana-1321	105	5	specific	specific	ADJ
cana-1321	105	6	(	(	PUNCT
cana-1321	105	7	numeric	numeric	ADJ
cana-1321	105	8	)	)	PUNCT
cana-1321	105	9	solution	solution	NOUN
cana-1321	105	10	concerning	concern	VERB
cana-1321	105	11	price	price	NOUN
cana-1321	105	12	-	-	PUNCT
cana-1321	105	13	component	component	NOUN
cana-1321	105	14	,	,	PUNCT
cana-1321	105	15	weight	weight	NOUN
cana-1321	105	16	-	-	PUNCT
cana-1321	105	17	component	component	NOUN
cana-1321	105	18	,	,	PUNCT
cana-1321	105	19	and	and	CCONJ
cana-1321	105	20	volume	volume	NOUN
cana-1321	105	21	-	-	PUNCT
cana-1321	105	22	component	component	NOUN
cana-1321	105	23	considerations	consideration	NOUN
cana-1321	105	24	.	.	PUNCT
cana-1321	106	1	through	through	ADP
cana-1321	106	2	the	the	DET
cana-1321	106	3	utilization	utilization	NOUN
cana-1321	106	4	of	of	ADP
cana-1321	106	5	the	the	DET
cana-1321	106	6	lagrangean	lagrangean	ADJ
cana-1321	106	7	approach	approach	NOUN
cana-1321	106	8	,	,	PUNCT
cana-1321	106	9	the	the	DET
cana-1321	106	10	authors	author	NOUN
cana-1321	106	11	carried	carry	VERB
cana-1321	106	12	out	out	ADP
cana-1321	106	13	an	an	DET
cana-1321	106	14	experiment	experiment	NOUN
cana-1321	106	15	involving	involve	VERB
cana-1321	106	16	a	a	DET
cana-1321	106	17	newly	newly	ADV
cana-1321	106	18	developed	develop	VERB
cana-1321	106	19	mathematical	mathematical	ADJ
cana-1321	106	20	function	function	NOUN
cana-1321	106	21	.	.	PUNCT
cana-1321	107	1	we	we	PRON
cana-1321	107	2	found	find	VERB
cana-1321	107	3	out	out	ADP
cana-1321	107	4	the	the	DET
cana-1321	107	5	number	number	NOUN
cana-1321	107	6	of	of	ADP
cana-1321	107	7	components	component	NOUN
cana-1321	107	8	,	,	PUNCT
cana-1321	107	9	the	the	DET
cana-1321	107	10	reliabilities	reliability	NOUN
cana-1321	107	11	of	of	ADP
cana-1321	107	12	the	the	DET
cana-1321	107	13	components	component	NOUN
cana-1321	107	14	,	,	PUNCT
cana-1321	107	15	the	the	DET
cana-1321	107	16	reliabilities	reliability	NOUN
cana-1321	107	17	of	of	ADP
cana-1321	107	18	the	the	DET
cana-1321	107	19	phases	phase	NOUN
cana-1321	107	20	,	,	PUNCT
cana-1321	107	21	and	and	CCONJ
cana-1321	107	22	the	the	DET
cana-1321	107	23	reliability	reliability	NOUN
cana-1321	107	24	of	of	ADP
cana-1321	107	25	the	the	DET
cana-1321	107	26	system	system	NOUN
cana-1321	107	27	by	by	ADP
cana-1321	107	28	utilizing	utilize	VERB
cana-1321	107	29	the	the	DET
cana-1321	107	30	integrated	integrate	VERB
cana-1321	107	31	redundant	redundant	ADJ
cana-1321	107	32	reliability	reliability	NOUN
cana-1321	107	33	(	(	PUNCT
cana-1321	107	34	irr	irr	NOUN
cana-1321	107	35	)	)	PUNCT
cana-1321	107	36	model	model	NOUN
cana-1321	107	37	in	in	ADP
cana-1321	107	38	matlab	matlab	PROPN
cana-1321	107	39	.	.	PUNCT
cana-1321	108	1	this	this	DET
cana-1321	108	2	model	model	NOUN
cana-1321	108	3	was	be	AUX
cana-1321	108	4	used	use	VERB
cana-1321	108	5	to	to	PART
cana-1321	108	6	determine	determine	VERB
cana-1321	108	7	the	the	DET
cana-1321	108	8	reliability	reliability	NOUN
cana-1321	108	9	of	of	ADP
cana-1321	108	10	the	the	DET
cana-1321	108	11	system	system	NOUN
cana-1321	108	12	.	.	PUNCT
cana-1321	109	1	the	the	DET
cana-1321	109	2	number	number	NOUN
cana-1321	109	3	of	of	ADP
cana-1321	109	4	components	component	NOUN
cana-1321	109	5	was	be	AUX
cana-1321	109	6	given	give	VERB
cana-1321	109	7	actual	actual	ADJ
cana-1321	109	8	values	value	NOUN
cana-1321	109	9	that	that	PRON
cana-1321	109	10	were	be	AUX
cana-1321	109	11	assigned	assign	VERB
cana-1321	109	12	to	to	ADP
cana-1321	109	13	them	they	PRON
cana-1321	109	14	.	.	PUNCT
cana-1321	110	1	it	it	PRON
cana-1321	110	2	is	be	AUX
cana-1321	110	3	important	important	ADJ
cana-1321	110	4	to	to	PART
cana-1321	110	5	note	note	VERB
cana-1321	110	6	that	that	SCONJ
cana-1321	110	7	the	the	DET
cana-1321	110	8	values	value	NOUN
cana-1321	110	9	should	should	AUX
cana-1321	110	10	be	be	AUX
cana-1321	110	11	integers	integer	NOUN
cana-1321	110	12	.	.	PUNCT
cana-1321	111	1	so	so	ADV
cana-1321	111	2	that	that	SCONJ
cana-1321	111	3	the	the	DET
cana-1321	111	4	writers	writer	NOUN
cana-1321	111	5	can	can	AUX
cana-1321	111	6	test	test	VERB
cana-1321	111	7	with	with	ADP
cana-1321	111	8	integer	integer	NOUN
cana-1321	111	9	programming	programming	NOUN
cana-1321	111	10	by	by	ADP
cana-1321	111	11	leveraging	leverage	VERB
cana-1321	111	12	python	python	NOUN
cana-1321	111	13	programming	programming	NOUN
cana-1321	111	14	in	in	ADP
cana-1321	111	15	order	order	NOUN
cana-1321	111	16	to	to	PART
cana-1321	111	17	achieve	achieve	VERB
cana-1321	111	18	integer	integer	NOUN
cana-1321	111	19	values	value	NOUN
cana-1321	111	20	while	while	SCONJ
cana-1321	111	21	concurrently	concurrently	ADV
cana-1321	111	22	boosting	boost	VERB
cana-1321	111	23	the	the	DET
cana-1321	111	24	number	number	NOUN
cana-1321	111	25	of	of	ADP
cana-1321	111	26	components	component	NOUN
cana-1321	111	27	,	,	PUNCT
cana-1321	111	28	component	component	NOUN
cana-1321	111	29	reliabilities	reliability	NOUN
cana-1321	111	30	,	,	PUNCT
cana-1321	111	31	stage	stage	NOUN
cana-1321	111	32	reliabilities	reliability	NOUN
cana-1321	111	33	,	,	PUNCT
cana-1321	111	34	and	and	CCONJ
cana-1321	111	35	system	system	NOUN
cana-1321	111	36	reliability	reliability	NOUN
cana-1321	111	37	in	in	ADP
cana-1321	111	38	order	order	NOUN
cana-1321	111	39	for	for	SCONJ
cana-1321	111	40	the	the	DET
cana-1321	111	41	authors	author	NOUN
cana-1321	111	42	to	to	PART
cana-1321	111	43	test	test	VERB
cana-1321	111	44	with	with	ADP
cana-1321	111	45	integer	integer	NOUN
cana-1321	111	46	programming	programming	NOUN
cana-1321	111	47	.	.	PUNCT
cana-1321	112	1	these	these	PRON
cana-1321	112	2	are	be	AUX
cana-1321	112	3	the	the	DET
cana-1321	112	4	values	value	NOUN
cana-1321	112	5	that	that	PRON
cana-1321	112	6	were	be	AUX
cana-1321	112	7	found	find	VERB
cana-1321	112	8	,	,	PUNCT
cana-1321	112	9	and	and	CCONJ
cana-1321	112	10	they	they	PRON
cana-1321	112	11	are	be	AUX
cana-1321	112	12	discussed	discuss	VERB
cana-1321	112	13	in	in	ADP
cana-1321	112	14	part	part	NOUN
cana-1321	112	15	6	6	NUM
cana-1321	112	16	,	,	PUNCT
cana-1321	112	17	in	in	ADP
cana-1321	112	18	addition	addition	NOUN
cana-1321	112	19	to	to	ADP
cana-1321	112	20	being	be	AUX
cana-1321	112	21	referenced	reference	VERB
cana-1321	112	22	in	in	ADP
cana-1321	112	23	sections	section	NOUN
cana-1321	112	24	3	3	NUM
cana-1321	112	25	,	,	PUNCT
cana-1321	112	26	4	4	NUM
cana-1321	112	27	,	,	PUNCT
cana-1321	112	28	and	and	CCONJ
cana-1321	112	29	5	5	NUM
cana-1321	112	30	.	.	NOUN
cana-1321	112	31	2.3	2.3	NUM
cana-1321	112	32	investigative	investigative	ADJ
cana-1321	112	33	challenge	challenge	NOUN
cana-1321	112	34	in	in	ADP
cana-1321	112	35	the	the	DET
cana-1321	112	36	exploration	exploration	NOUN
cana-1321	112	37	of	of	ADP
cana-1321	112	38	optimization	optimization	NOUN
cana-1321	112	39	techniques	technique	NOUN
cana-1321	112	40	for	for	ADP
cana-1321	112	41	determining	determine	VERB
cana-1321	112	42	various	various	ADJ
cana-1321	112	43	parameters	parameter	NOUN
cana-1321	112	44	in	in	ADP
cana-1321	112	45	a	a	DET
cana-1321	112	46	specific	specific	ADJ
cana-1321	112	47	mechanical	mechanical	ADJ
cana-1321	112	48	system	system	NOUN
cana-1321	112	49	,	,	PUNCT
cana-1321	112	50	this	this	DET
cana-1321	112	51	study	study	NOUN
cana-1321	112	52	assumes	assume	VERB
cana-1321	112	53	a	a	DET
cana-1321	112	54	proportional	proportional	ADJ
cana-1321	112	55	relationship	relationship	NOUN
cana-1321	112	56	between	between	ADP
cana-1321	112	57	factors	factor	NOUN
cana-1321	112	58	such	such	ADJ
cana-1321	112	59	as	as	ADP
cana-1321	112	60	pricecomponent	pricecomponent	ADJ
cana-1321	112	61	,	,	PUNCT
cana-1321	112	62	weight	weight	NOUN
cana-1321	112	63	-	-	PUNCT
cana-1321	112	64	component	component	NOUN
cana-1321	112	65	,	,	PUNCT
cana-1321	112	66	and	and	CCONJ
cana-1321	112	67	volume	volume	NOUN
cana-1321	112	68	-	-	PUNCT
cana-1321	112	69	component	component	NOUN
cana-1321	112	70	,	,	PUNCT
cana-1321	112	71	and	and	CCONJ
cana-1321	112	72	the	the	DET
cana-1321	112	73	dependability	dependability	NOUN
cana-1321	112	74	of	of	ADP
cana-1321	112	75	the	the	DET
cana-1321	112	76	system	system	NOUN
cana-1321	112	77	.	.	PUNCT
cana-1321	113	1	it	it	PRON
cana-1321	113	2	is	be	AUX
cana-1321	113	3	communications	communication	NOUN
cana-1321	113	4	on	on	ADP
cana-1321	113	5	applied	apply	VERB
cana-1321	113	6	nonlinear	nonlinear	ADJ
cana-1321	113	7	analysis	analysis	NOUN
cana-1321	113	8	issn	issn	NOUN
cana-1321	113	9	:	:	PUNCT
cana-1321	113	10	1074	1074	NUM
cana-1321	113	11	-	-	PUNCT
cana-1321	113	12	133x	133x	NUM
cana-1321	113	13	vol	vol	NOUN
cana-1321	113	14	31	31	NUM
cana-1321	113	15	no	no	NOUN
cana-1321	113	16	.	.	PUNCT
cana-1321	114	1	7s	7	NOUN
cana-1321	114	2	(	(	PUNCT
cana-1321	114	3	2024	2024	NUM
cana-1321	114	4	)	)	PUNCT
cana-1321	114	5	427	427	NUM
cana-1321	114	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	114	7	crucial	crucial	ADJ
cana-1321	114	8	to	to	PART
cana-1321	114	9	acknowledge	acknowledge	VERB
cana-1321	114	10	that	that	SCONJ
cana-1321	114	11	this	this	DET
cana-1321	114	12	assumption	assumption	NOUN
cana-1321	114	13	may	may	AUX
cana-1321	114	14	not	not	PART
cana-1321	114	15	be	be	AUX
cana-1321	114	16	applicable	applicable	ADJ
cana-1321	114	17	to	to	ADP
cana-1321	114	18	electronic	electronic	ADJ
cana-1321	114	19	systems	system	NOUN
cana-1321	114	20	.	.	PUNCT
cana-1321	115	1	consequently	consequently	ADV
cana-1321	115	2	,	,	PUNCT
cana-1321	115	3	the	the	DET
cana-1321	115	4	evaluation	evaluation	NOUN
cana-1321	115	5	of	of	ADP
cana-1321	115	6	maximum	maximum	ADJ
cana-1321	115	7	component	component	NOUN
cana-1321	115	8	-	-	PUNCT
cana-1321	115	9	level	level	NOUN
cana-1321	115	10	reliability	reliability	NOUN
cana-1321	115	11	(	(	PUNCT
cana-1321	115	12	)	)	PUNCT
cana-1321	115	13	,	,	PUNCT
cana-1321	115	14	stage	stage	NOUN
cana-1321	115	15	-	-	PUNCT
cana-1321	115	16	reliability	reliability	NOUN
cana-1321	115	17	(	(	PUNCT
cana-1321	115	18	)	)	PUNCT
cana-1321	115	19	,	,	PUNCT
cana-1321	115	20	the	the	DET
cana-1321	115	21	quantity	quantity	NOUN
cana-1321	115	22	of	of	ADP
cana-1321	115	23	elements	element	NOUN
cana-1321	115	24	per	per	ADP
cana-1321	115	25	stage	stage	NOUN
cana-1321	115	26	(	(	PUNCT
cana-1321	115	27	)	)	PUNCT
cana-1321	115	28	,	,	PUNCT
cana-1321	115	29	and	and	CCONJ
cana-1321	115	30	structural	structural	ADJ
cana-1321	115	31	accuracy	accuracy	NOUN
cana-1321	115	32	(	(	PUNCT
cana-1321	115	33	)	)	PUNCT
cana-1321	115	34	is	be	AUX
cana-1321	115	35	relevant	relevant	ADJ
cana-1321	115	36	to	to	ADP
cana-1321	115	37	any	any	DET
cana-1321	115	38	given	give	VERB
cana-1321	115	39	mechanical	mechanical	ADJ
cana-1321	115	40	system	system	NOUN
cana-1321	115	41	.	.	PUNCT
cana-1321	116	1	in	in	ADP
cana-1321	116	2	their	their	PRON
cana-1321	116	3	study	study	NOUN
cana-1321	116	4	[	[	X
cana-1321	116	5	14	14	NUM
cana-1321	116	6	]	]	PUNCT
cana-1321	116	7	,	,	PUNCT
cana-1321	116	8	sridhar	sridhar	PROPN
cana-1321	116	9	,	,	PUNCT
cana-1321	116	10	akiri	akiri	PROPN
cana-1321	116	11	et	et	PROPN
cana-1321	116	12	.	.	PUNCT
cana-1321	117	1	al	al	PROPN
cana-1321	117	2	.	.	PROPN
cana-1321	117	3	,	,	PUNCT
cana-1321	117	4	(	(	PUNCT
cana-1321	117	5	2013	2013	NUM
cana-1321	117	6	)	)	PUNCT
cana-1321	117	7	proposed	propose	VERB
cana-1321	117	8	a	a	DET
cana-1321	117	9	new	new	ADJ
cana-1321	117	10	approach	approach	NOUN
cana-1321	117	11	to	to	PART
cana-1321	117	12	optimize	optimize	VERB
cana-1321	117	13	a	a	DET
cana-1321	117	14	redundant	redundant	ADJ
cana-1321	117	15	irm	irm	NOUN
cana-1321	117	16	with	with	ADP
cana-1321	117	17	multiple	multiple	ADJ
cana-1321	117	18	constraints	constraint	NOUN
cana-1321	117	19	.	.	PUNCT
cana-1321	118	1	they	they	PRON
cana-1321	118	2	aimed	aim	VERB
cana-1321	118	3	to	to	PART
cana-1321	118	4	address	address	VERB
cana-1321	118	5	the	the	DET
cana-1321	118	6	hidden	hide	VERB
cana-1321	118	7	effects	effect	NOUN
cana-1321	118	8	of	of	ADP
cana-1321	118	9	extra	extra	ADJ
cana-1321	118	10	constraints	constraint	NOUN
cana-1321	118	11	,	,	PUNCT
cana-1321	118	12	beyond	beyond	ADP
cana-1321	118	13	the	the	DET
cana-1321	118	14	cost	cost	NOUN
cana-1321	118	15	constraint	constraint	NOUN
cana-1321	118	16	,	,	PUNCT
cana-1321	118	17	when	when	SCONJ
cana-1321	118	18	optimizing	optimize	VERB
cana-1321	118	19	the	the	DET
cana-1321	118	20	system	system	NOUN
cana-1321	118	21	.	.	PUNCT
cana-1321	119	1	their	their	PRON
cana-1321	119	2	focus	focus	NOUN
cana-1321	119	3	was	be	AUX
cana-1321	119	4	on	on	ADP
cana-1321	119	5	examining	examine	VERB
cana-1321	119	6	the	the	DET
cana-1321	119	7	k	k	NOUN
cana-1321	119	8	-	-	PUNCT
cana-1321	119	9	out	out	ADP
cana-1321	119	10	-	-	PUNCT
cana-1321	119	11	of	of	ADP
cana-1321	119	12	-	-	PUNCT
cana-1321	119	13	n	n	NOUN
cana-1321	119	14	configuration	configuration	NOUN
cana-1321	119	15	system	system	NOUN
cana-1321	119	16	.	.	PUNCT
cana-1321	120	1	mostafa	mostafa	PROPN
cana-1321	120	2	abouei	abouei	PROPN
cana-1321	120	3	ardakan	ardakan	PROPN
cana-1321	120	4	and	and	CCONJ
cana-1321	120	5	ali	ali	PROPN
cana-1321	120	6	zeinal	zeinal	PROPN
cana-1321	120	7	hamadani	hamadani	PROPN
cana-1321	120	8	(	(	PUNCT
cana-1321	120	9	2014	2014	NUM
cana-1321	120	10	)	)	PUNCT
cana-1321	120	11	,	,	PUNCT
cana-1321	120	12	proposed	propose	VERB
cana-1321	120	13	that	that	SCONJ
cana-1321	120	14	each	each	DET
cana-1321	120	15	subsystem	subsystem	NOUN
cana-1321	120	16	can	can	AUX
cana-1321	120	17	adopt	adopt	VERB
cana-1321	120	18	either	either	CCONJ
cana-1321	120	19	an	an	DET
cana-1321	120	20	active	active	ADJ
cana-1321	120	21	or	or	CCONJ
cana-1321	120	22	standby	standby	ADJ
cana-1321	120	23	redundancy	redundancy	NOUN
cana-1321	120	24	strategy	strategy	NOUN
cana-1321	120	25	[	[	X
cana-1321	120	26	15	15	NUM
cana-1321	120	27	]	]	PUNCT
cana-1321	120	28	.	.	PUNCT
cana-1321	121	1	they	they	PRON
cana-1321	121	2	aimed	aim	VERB
cana-1321	121	3	to	to	PART
cana-1321	121	4	identify	identify	VERB
cana-1321	121	5	the	the	DET
cana-1321	121	6	optimal	optimal	ADJ
cana-1321	121	7	method	method	NOUN
cana-1321	121	8	for	for	ADP
cana-1321	121	9	these	these	DET
cana-1321	121	10	subsystems	subsystem	NOUN
cana-1321	121	11	by	by	ADP
cana-1321	121	12	employing	employ	VERB
cana-1321	121	13	a	a	DET
cana-1321	121	14	suitable	suitable	ADJ
cana-1321	121	15	mathematical	mathematical	ADJ
cana-1321	121	16	model	model	NOUN
cana-1321	121	17	.	.	PUNCT
cana-1321	122	1	building	build	VERB
cana-1321	122	2	upon	upon	SCONJ
cana-1321	122	3	this	this	DET
cana-1321	122	4	premise	premise	NOUN
cana-1321	122	5	,	,	PUNCT
cana-1321	122	6	a	a	DET
cana-1321	122	7	new	new	ADJ
cana-1321	122	8	approach	approach	NOUN
cana-1321	122	9	is	be	AUX
cana-1321	122	10	presented	present	VERB
cana-1321	122	11	that	that	SCONJ
cana-1321	122	12	combines	combine	VERB
cana-1321	122	13	conventional	conventional	ADJ
cana-1321	122	14	active	active	ADJ
cana-1321	122	15	and	and	CCONJ
cana-1321	122	16	standby	standby	ADJ
cana-1321	122	17	techniques	technique	NOUN
cana-1321	122	18	.	.	PUNCT
cana-1321	123	1	the	the	DET
cana-1321	123	2	new	new	ADJ
cana-1321	123	3	approach	approach	NOUN
cana-1321	123	4	is	be	AUX
cana-1321	123	5	referred	refer	VERB
cana-1321	123	6	to	to	ADP
cana-1321	123	7	as	as	ADP
cana-1321	123	8	a	a	DET
cana-1321	123	9	mixed	mixed	ADJ
cana-1321	123	10	strategy	strategy	NOUN
cana-1321	123	11	,	,	PUNCT
cana-1321	123	12	which	which	PRON
cana-1321	123	13	involves	involve	VERB
cana-1321	123	14	the	the	DET
cana-1321	123	15	simultaneous	simultaneous	ADJ
cana-1321	123	16	utilization	utilization	NOUN
cana-1321	123	17	of	of	ADP
cana-1321	123	18	both	both	CCONJ
cana-1321	123	19	active	active	ADJ
cana-1321	123	20	and	and	CCONJ
cana-1321	123	21	cold	cold	ADJ
cana-1321	123	22	-	-	PUNCT
cana-1321	123	23	standby	standby	NOUN
cana-1321	123	24	techniques	technique	NOUN
cana-1321	123	25	inside	inside	ADP
cana-1321	123	26	a	a	DET
cana-1321	123	27	single	single	ADJ
cana-1321	123	28	subsystem	subsystem	NOUN
cana-1321	123	29	.	.	PUNCT
cana-1321	124	1	hence	hence	ADV
cana-1321	124	2	,	,	PUNCT
cana-1321	124	3	the	the	DET
cana-1321	124	4	task	task	NOUN
cana-1321	124	5	at	at	ADP
cana-1321	124	6	hand	hand	NOUN
cana-1321	124	7	is	be	AUX
cana-1321	124	8	to	to	PART
cana-1321	124	9	ascertain	ascertain	VERB
cana-1321	124	10	the	the	DET
cana-1321	124	11	specific	specific	ADJ
cana-1321	124	12	type	type	NOUN
cana-1321	124	13	of	of	ADP
cana-1321	124	14	components	component	NOUN
cana-1321	124	15	,	,	PUNCT
cana-1321	124	16	the	the	DET
cana-1321	124	17	level	level	NOUN
cana-1321	124	18	of	of	ADP
cana-1321	124	19	redundancy	redundancy	NOUN
cana-1321	124	20	,	,	PUNCT
cana-1321	124	21	and	and	CCONJ
cana-1321	124	22	the	the	DET
cana-1321	124	23	quantity	quantity	NOUN
cana-1321	124	24	of	of	ADP
cana-1321	124	25	active	active	ADJ
cana-1321	124	26	and	and	CCONJ
cana-1321	124	27	cold	cold	ADJ
cana-1321	124	28	-	-	PUNCT
cana-1321	124	29	standby	standby	ADJ
cana-1321	124	30	units	unit	NOUN
cana-1321	124	31	for	for	ADP
cana-1321	124	32	each	each	DET
cana-1321	124	33	subsystem	subsystem	NOUN
cana-1321	124	34	,	,	PUNCT
cana-1321	124	35	with	with	ADP
cana-1321	124	36	the	the	DET
cana-1321	124	37	objective	objective	NOUN
cana-1321	124	38	of	of	ADP
cana-1321	124	39	optimizing	optimize	VERB
cana-1321	124	40	the	the	DET
cana-1321	124	41	overall	overall	ADJ
cana-1321	124	42	reliability	reliability	NOUN
cana-1321	124	43	of	of	ADP
cana-1321	124	44	the	the	DET
cana-1321	124	45	system	system	NOUN
cana-1321	124	46	.	.	PUNCT
cana-1321	125	1	debasis	debasis	PROPN
cana-1321	125	2	bhattacharya	bhattacharya	PROPN
cana-1321	125	3	and	and	CCONJ
cana-1321	125	4	soma	soma	PROPN
cana-1321	125	5	roychowdhury	roychowdhury	NOUN
cana-1321	125	6	,	,	PUNCT
cana-1321	125	7	(	(	PUNCT
cana-1321	125	8	2017	2017	NUM
cana-1321	125	9	)	)	PUNCT
cana-1321	125	10	,	,	PUNCT
cana-1321	125	11	this	this	DET
cana-1321	125	12	study	study	NOUN
cana-1321	125	13	reduces	reduce	VERB
cana-1321	125	14	redundancy	redundancy	NOUN
cana-1321	125	15	allocation	allocation	NOUN
cana-1321	125	16	costs	cost	NOUN
cana-1321	125	17	while	while	SCONJ
cana-1321	125	18	meeting	meet	VERB
cana-1321	125	19	reliability	reliability	NOUN
cana-1321	125	20	goals	goal	NOUN
cana-1321	125	21	[	[	X
cana-1321	125	22	16	16	NUM
cana-1321	125	23	]	]	PUNCT
cana-1321	125	24	.	.	PUNCT
cana-1321	126	1	the	the	DET
cana-1321	126	2	number	number	NOUN
cana-1321	126	3	of	of	ADP
cana-1321	126	4	redundancies	redundancy	NOUN
cana-1321	126	5	is	be	AUX
cana-1321	126	6	the	the	DET
cana-1321	126	7	choice	choice	NOUN
cana-1321	126	8	variable	variable	NOUN
cana-1321	126	9	.	.	PUNCT
cana-1321	127	1	any	any	DET
cana-1321	127	2	cohesive	cohesive	ADJ
cana-1321	127	3	system	system	NOUN
cana-1321	127	4	,	,	PUNCT
cana-1321	127	5	simple	simple	ADJ
cana-1321	127	6	or	or	CCONJ
cana-1321	127	7	complicated	complicated	ADJ
cana-1321	127	8	,	,	PUNCT
cana-1321	127	9	can	can	AUX
cana-1321	127	10	use	use	VERB
cana-1321	127	11	this	this	DET
cana-1321	127	12	study	study	NOUN
cana-1321	127	13	's	's	PART
cana-1321	127	14	methodology	methodology	NOUN
cana-1321	127	15	.	.	PUNCT
cana-1321	128	1	system	system	NOUN
cana-1321	128	2	architecture	architecture	NOUN
cana-1321	128	3	complexity	complexity	NOUN
cana-1321	128	4	directly	directly	ADV
cana-1321	128	5	affects	affect	VERB
cana-1321	128	6	computational	computational	ADJ
cana-1321	128	7	complexity	complexity	NOUN
cana-1321	128	8	.	.	PUNCT
cana-1321	129	1	the	the	DET
cana-1321	129	2	redundancy	redundancy	NOUN
cana-1321	129	3	allocation	allocation	NOUN
cana-1321	129	4	problem	problem	NOUN
cana-1321	129	5	solved	solve	VERB
cana-1321	129	6	in	in	ADP
cana-1321	129	7	this	this	DET
cana-1321	129	8	paper	paper	NOUN
cana-1321	129	9	yields	yield	VERB
cana-1321	129	10	a	a	DET
cana-1321	129	11	deterministic	deterministic	ADJ
cana-1321	129	12	optimal	optimal	ADJ
cana-1321	129	13	solution	solution	NOUN
cana-1321	129	14	in	in	ADP
cana-1321	129	15	polynomial	polynomial	ADJ
cana-1321	129	16	time	time	NOUN
cana-1321	129	17	for	for	ADP
cana-1321	129	18	a	a	DET
cana-1321	129	19	well	well	ADV
cana-1321	129	20	-	-	PUNCT
cana-1321	129	21	known	know	VERB
cana-1321	129	22	np	np	NOUN
cana-1321	129	23	-	-	PUNCT
cana-1321	129	24	hard	hard	ADJ
cana-1321	129	25	problem	problem	NOUN
cana-1321	129	26	.	.	PUNCT
cana-1321	130	1	this	this	DET
cana-1321	130	2	strategy	strategy	NOUN
cana-1321	130	3	is	be	AUX
cana-1321	130	4	illustrated	illustrate	VERB
cana-1321	130	5	with	with	ADP
cana-1321	130	6	numerical	numerical	ADJ
cana-1321	130	7	examples	example	NOUN
cana-1321	130	8	.	.	PUNCT
cana-1321	131	1	a	a	DET
cana-1321	131	2	study	study	NOUN
cana-1321	131	3	examined	examine	VERB
cana-1321	131	4	the	the	DET
cana-1321	131	5	ideal	ideal	ADJ
cana-1321	131	6	solution	solution	NOUN
cana-1321	131	7	's	's	PART
cana-1321	131	8	sensitivity	sensitivity	NOUN
cana-1321	131	9	,	,	PUNCT
cana-1321	131	10	the	the	DET
cana-1321	131	11	augmented	augment	VERB
cana-1321	131	12	system	system	NOUN
cana-1321	131	13	's	's	PART
cana-1321	131	14	reliability	reliability	NOUN
cana-1321	131	15	,	,	PUNCT
cana-1321	131	16	and	and	CCONJ
cana-1321	131	17	the	the	DET
cana-1321	131	18	cost	cost	NOUN
cana-1321	131	19	of	of	ADP
cana-1321	131	20	redundancy	redundancy	NOUN
cana-1321	131	21	in	in	ADP
cana-1321	131	22	relation	relation	NOUN
cana-1321	131	23	to	to	ADP
cana-1321	131	24	reliability	reliability	NOUN
cana-1321	131	25	targets	target	NOUN
cana-1321	131	26	.	.	PUNCT
cana-1321	132	1	no	no	DET
cana-1321	132	2	component	component	NOUN
cana-1321	132	3	life	life	NOUN
cana-1321	132	4	distribution	distribution	NOUN
cana-1321	132	5	assumptions	assumption	NOUN
cana-1321	132	6	are	be	AUX
cana-1321	132	7	made	make	VERB
cana-1321	132	8	in	in	ADP
cana-1321	132	9	the	the	DET
cana-1321	132	10	analysis	analysis	NOUN
cana-1321	132	11	.	.	PUNCT
cana-1321	133	1	a	a	DET
cana-1321	133	2	thorough	thorough	ADJ
cana-1321	133	3	examination	examination	NOUN
cana-1321	133	4	of	of	ADP
cana-1321	133	5	existing	exist	VERB
cana-1321	133	6	research	research	NOUN
cana-1321	133	7	on	on	ADP
cana-1321	133	8	the	the	DET
cana-1321	133	9	optimal	optimal	ADJ
cana-1321	133	10	assignment	assignment	NOUN
cana-1321	133	11	of	of	ADP
cana-1321	133	12	components	component	NOUN
cana-1321	133	13	in	in	ADP
cana-1321	133	14	parallel	parallel	ADJ
cana-1321	133	15	-	-	PUNCT
cana-1321	133	16	series	series	NOUN
cana-1321	133	17	systems	system	NOUN
cana-1321	133	18	unveils	unveil	VERB
cana-1321	133	19	valuable	valuable	ADJ
cana-1321	133	20	insights	insight	NOUN
cana-1321	133	21	into	into	ADP
cana-1321	133	22	precise	precise	ADJ
cana-1321	133	23	algorithms	algorithm	NOUN
cana-1321	133	24	,	,	PUNCT
cana-1321	133	25	redundancy	redundancy	NOUN
cana-1321	133	26	allocations	allocation	NOUN
cana-1321	133	27	,	,	PUNCT
cana-1321	133	28	the	the	DET
cana-1321	133	29	utilization	utilization	NOUN
cana-1321	133	30	of	of	ADP
cana-1321	133	31	interchangeable	interchangeable	ADJ
cana-1321	133	32	components	component	NOUN
cana-1321	133	33	,	,	PUNCT
cana-1321	133	34	and	and	CCONJ
cana-1321	133	35	heuristic	heuristic	ADJ
cana-1321	133	36	approaches	approach	NOUN
cana-1321	133	37	.	.	PUNCT
cana-1321	134	1	these	these	DET
cana-1321	134	2	investigations	investigation	NOUN
cana-1321	134	3	contribute	contribute	VERB
cana-1321	134	4	significantly	significantly	ADV
cana-1321	134	5	to	to	ADP
cana-1321	134	6	advancing	advance	VERB
cana-1321	134	7	our	our	PRON
cana-1321	134	8	comprehension	comprehension	NOUN
cana-1321	134	9	of	of	ADP
cana-1321	134	10	reliability	reliability	NOUN
cana-1321	134	11	engineering	engineering	NOUN
cana-1321	134	12	in	in	ADP
cana-1321	134	13	intricate	intricate	ADJ
cana-1321	134	14	systems	system	NOUN
cana-1321	134	15	.	.	PUNCT
cana-1321	135	1	this	this	DET
cana-1321	135	2	study	study	NOUN
cana-1321	135	3	specifically	specifically	ADV
cana-1321	135	4	concentrates	concentrate	VERB
cana-1321	135	5	on	on	ADP
cana-1321	135	6	assessing	assess	VERB
cana-1321	135	7	the	the	DET
cana-1321	135	8	structural	structural	ADJ
cana-1321	135	9	accuracy	accuracy	NOUN
cana-1321	135	10	of	of	ADP
cana-1321	135	11	a	a	DET
cana-1321	135	12	specialized	specialized	ADJ
cana-1321	135	13	machine	machine	NOUN
cana-1321	135	14	designed	design	VERB
cana-1321	135	15	for	for	ADP
cana-1321	135	16	assembling	assemble	VERB
cana-1321	135	17	an	an	DET
cana-1321	135	18	ic	ic	PROPN
cana-1321	135	19	engine	engine	NOUN
cana-1321	135	20	(	(	PUNCT
cana-1321	135	21	show	show	NOUN
cana-1321	135	22	in	in	ADP
cana-1321	135	23	the	the	DET
cana-1321	135	24	following	follow	VERB
cana-1321	135	25	figure1	figure1	PROPN
cana-1321	135	26	)	)	PUNCT
cana-1321	135	27	.	.	PUNCT
cana-1321	136	1	figure	figure	VERB
cana-1321	136	2	1	1	NUM
cana-1321	136	3	:	:	PUNCT
cana-1321	136	4	the	the	DET
cana-1321	136	5	structure	structure	NOUN
cana-1321	136	6	of	of	ADP
cana-1321	136	7	ic	ic	PROPN
cana-1321	136	8	engine	engine	NOUN
cana-1321	136	9	communications	communication	NOUN
cana-1321	136	10	on	on	ADP
cana-1321	136	11	applied	apply	VERB
cana-1321	136	12	nonlinear	nonlinear	ADJ
cana-1321	136	13	analysis	analysis	NOUN
cana-1321	136	14	issn	issn	NOUN
cana-1321	136	15	:	:	PUNCT
cana-1321	136	16	1074	1074	NUM
cana-1321	136	17	-	-	PUNCT
cana-1321	136	18	133x	133x	NUM
cana-1321	136	19	vol	vol	NOUN
cana-1321	136	20	31	31	NUM
cana-1321	136	21	no	no	NOUN
cana-1321	136	22	.	.	PUNCT
cana-1321	137	1	7s	7	NOUN
cana-1321	137	2	(	(	PUNCT
cana-1321	137	3	2024	2024	NUM
cana-1321	137	4	)	)	PUNCT
cana-1321	137	5	428	428	NUM
cana-1321	138	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	138	2	the	the	DET
cana-1321	138	3	price	price	NOUN
cana-1321	138	4	,	,	PUNCT
cana-1321	138	5	weight	weight	NOUN
cana-1321	138	6	,	,	PUNCT
cana-1321	138	7	and	and	CCONJ
cana-1321	138	8	volume	volume	NOUN
cana-1321	138	9	of	of	ADP
cana-1321	138	10	an	an	DET
cana-1321	138	11	ic	ic	PROPN
cana-1321	138	12	engine	engine	NOUN
cana-1321	138	13	exhibit	exhibit	NOUN
cana-1321	138	14	variations	variation	NOUN
cana-1321	138	15	influenced	influence	VERB
cana-1321	138	16	by	by	ADP
cana-1321	138	17	components	component	NOUN
cana-1321	138	18	like	like	ADP
cana-1321	138	19	factors	factor	NOUN
cana-1321	138	20	like	like	ADP
cana-1321	138	21	gudgeon	gudgeon	PROPN
cana-1321	138	22	pin	pin	PROPN
cana-1321	138	23	,	,	PUNCT
cana-1321	138	24	cylinder	cylinder	NOUN
cana-1321	138	25	,	,	PUNCT
cana-1321	138	26	piston	piston	NOUN
cana-1321	138	27	,	,	PUNCT
cana-1321	138	28	connecting	connect	VERB
cana-1321	138	29	rod	rod	NOUN
cana-1321	138	30	and	and	CCONJ
cana-1321	138	31	crankshaft	crankshaft	NOUN
cana-1321	138	32	.	.	PUNCT
cana-1321	139	1	generally	generally	ADV
cana-1321	139	2	ic	ic	PRON
cana-1321	139	3	engine	engine	NOUN
cana-1321	139	4	tailored	tailor	VERB
cana-1321	139	5	for	for	ADP
cana-1321	139	6	residential	residential	ADJ
cana-1321	139	7	or	or	CCONJ
cana-1321	139	8	small	small	ADJ
cana-1321	139	9	-	-	PUNCT
cana-1321	139	10	scale	scale	NOUN
cana-1321	139	11	applications	application	NOUN
cana-1321	139	12	tend	tend	VERB
cana-1321	139	13	to	to	PART
cana-1321	139	14	possess	possess	VERB
cana-1321	139	15	a	a	DET
cana-1321	139	16	comparatively	comparatively	ADV
cana-1321	139	17	lower	low	ADJ
cana-1321	139	18	cost	cost	NOUN
cana-1321	139	19	,	,	PUNCT
cana-1321	139	20	smaller	small	ADJ
cana-1321	139	21	size	size	NOUN
cana-1321	139	22	,	,	PUNCT
cana-1321	139	23	and	and	CCONJ
cana-1321	139	24	lighter	light	ADJ
cana-1321	139	25	weight	weight	NOUN
cana-1321	139	26	in	in	ADP
cana-1321	139	27	comparison	comparison	NOUN
cana-1321	139	28	to	to	ADP
cana-1321	139	29	their	their	PRON
cana-1321	139	30	three	three	NUM
cana-1321	139	31	-	-	PUNCT
cana-1321	139	32	phase	phase	NOUN
cana-1321	139	33	counterparts	counterpart	NOUN
cana-1321	139	34	.	.	PUNCT
cana-1321	140	1	the	the	DET
cana-1321	140	2	ic	ic	PROPN
cana-1321	140	3	engine	engine	NOUN
cana-1321	140	4	is	be	AUX
cana-1321	140	5	priced	price	VERB
cana-1321	140	6	at	at	ADP
cana-1321	140	7	approximately	approximately	ADV
cana-1321	140	8	$	$	SYM
cana-1321	140	9	1600	1600	NUM
cana-1321	140	10	,	,	PUNCT
cana-1321	140	11	encapsulating	encapsulate	VERB
cana-1321	140	12	the	the	DET
cana-1321	140	13	core	core	NOUN
cana-1321	140	14	machinery	machinery	NOUN
cana-1321	140	15	cost	cost	NOUN
cana-1321	140	16	within	within	ADP
cana-1321	140	17	the	the	DET
cana-1321	140	18	structure	structure	NOUN
cana-1321	140	19	.	.	PUNCT
cana-1321	141	1	notably	notably	ADV
cana-1321	141	2	,	,	PUNCT
cana-1321	141	3	the	the	DET
cana-1321	141	4	ic	ic	PROPN
cana-1321	141	5	engine	engine	NOUN
cana-1321	141	6	's	's	PART
cana-1321	141	7	weight	weight	NOUN
cana-1321	141	8	is	be	AUX
cana-1321	141	9	registered	register	VERB
cana-1321	141	10	at	at	ADP
cana-1321	141	11	650	650	NUM
cana-1321	141	12	pounds	pound	NOUN
cana-1321	141	13	,	,	PUNCT
cana-1321	141	14	underscoring	underscore	VERB
cana-1321	141	15	its	its	PRON
cana-1321	141	16	substantial	substantial	ADJ
cana-1321	141	17	structural	structural	ADJ
cana-1321	141	18	presence	presence	NOUN
cana-1321	141	19	.	.	PUNCT
cana-1321	142	1	beyond	beyond	ADP
cana-1321	142	2	the	the	DET
cana-1321	142	3	monetary	monetary	ADJ
cana-1321	142	4	and	and	CCONJ
cana-1321	142	5	weight	weight	NOUN
cana-1321	142	6	aspects	aspect	NOUN
cana-1321	142	7	,	,	PUNCT
cana-1321	142	8	the	the	DET
cana-1321	142	9	ic	ic	PROPN
cana-1321	142	10	engine	engine	NOUN
cana-1321	142	11	occupies	occupy	VERB
cana-1321	142	12	a	a	DET
cana-1321	142	13	volume	volume	NOUN
cana-1321	142	14	of	of	ADP
cana-1321	142	15	750	750	NUM
cana-1321	142	16	,	,	PUNCT
cana-1321	142	17	accentuating	accentuate	VERB
cana-1321	142	18	its	its	PRON
cana-1321	142	19	compact	compact	ADJ
cana-1321	142	20	size	size	NOUN
cana-1321	142	21	within	within	ADP
cana-1321	142	22	the	the	DET
cana-1321	142	23	overall	overall	ADJ
cana-1321	142	24	structure	structure	NOUN
cana-1321	142	25	.	.	PUNCT
cana-1321	143	1	it	it	PRON
cana-1321	143	2	's	be	AUX
cana-1321	143	3	crucial	crucial	ADJ
cana-1321	143	4	to	to	PART
cana-1321	143	5	emphasize	emphasize	VERB
cana-1321	143	6	that	that	SCONJ
cana-1321	143	7	these	these	DET
cana-1321	143	8	figures	figure	NOUN
cana-1321	143	9	are	be	AUX
cana-1321	143	10	illustrative	illustrative	ADJ
cana-1321	143	11	and	and	CCONJ
cana-1321	143	12	designed	design	VERB
cana-1321	143	13	to	to	PART
cana-1321	143	14	allow	allow	VERB
cana-1321	143	15	for	for	ADP
cana-1321	143	16	potential	potential	ADJ
cana-1321	143	17	adjustments	adjustment	NOUN
cana-1321	143	18	to	to	PART
cana-1321	143	19	suit	suit	VERB
cana-1321	143	20	various	various	ADJ
cana-1321	143	21	contextual	contextual	ADJ
cana-1321	143	22	and	and	CCONJ
cana-1321	143	23	environmental	environmental	ADJ
cana-1321	143	24	requirements	requirement	NOUN
cana-1321	143	25	,	,	PUNCT
cana-1321	143	26	fostering	foster	VERB
cana-1321	143	27	inclusivity	inclusivity	NOUN
cana-1321	143	28	and	and	CCONJ
cana-1321	143	29	adaptability	adaptability	NOUN
cana-1321	143	30	across	across	ADP
cana-1321	143	31	diverse	diverse	ADJ
cana-1321	143	32	scenarios	scenario	NOUN
cana-1321	143	33	.	.	PUNCT
cana-1321	144	1	2.4	2.4	NUM
cana-1321	144	2	fixed	fix	VERB
cana-1321	144	3	parameters	parameter	NOUN
cana-1321	144	4	for	for	ADP
cana-1321	144	5	components	component	NOUN
cana-1321	144	6	in	in	ADP
cana-1321	144	7	the	the	DET
cana-1321	144	8	case	case	NOUN
cana-1321	144	9	study	study	NOUN
cana-1321	144	10	:	:	PUNCT
cana-1321	144	11	preset	preset	ADJ
cana-1321	144	12	constants	constant	NOUN
cana-1321	144	13	the	the	DET
cana-1321	144	14	constants	constant	NOUN
cana-1321	144	15	needed	need	VERB
cana-1321	144	16	for	for	ADP
cana-1321	144	17	the	the	DET
cana-1321	144	18	case	case	NOUN
cana-1321	144	19	problem	problem	NOUN
cana-1321	144	20	can	can	AUX
cana-1321	144	21	be	be	AUX
cana-1321	144	22	found	find	VERB
cana-1321	144	23	in	in	ADP
cana-1321	144	24	table	table	NOUN
cana-1321	144	25	1	1	NUM
cana-1321	144	26	,	,	PUNCT
cana-1321	144	27	presenting	present	VERB
cana-1321	144	28	the	the	DET
cana-1321	144	29	essential	essential	ADJ
cana-1321	144	30	data	datum	NOUN
cana-1321	144	31	.	.	PUNCT
cana-1321	145	1	table	table	NOUN
cana-1321	145	2	1	1	NUM
cana-1321	145	3	.	.	PUNCT
cana-1321	145	4	component’s	component’s	NOUN
cana-1321	145	5	-	-	PUNCT
cana-1321	145	6	price	price	NOUN
cana-1321	145	7	,	,	PUNCT
cana-1321	145	8	component’s	component’s	NOUN
cana-1321	145	9	-	-	PUNCT
cana-1321	145	10	weight	weight	NOUN
cana-1321	145	11	,	,	PUNCT
cana-1321	145	12	and	and	CCONJ
cana-1321	145	13	component’s	component’s	NOUN
cana-1321	145	14	-	-	PUNCT
cana-1321	145	15	volume	volume	NOUN
cana-1321	145	16	pre	pre	ADJ
cana-1321	145	17	-	-	ADJ
cana-1321	145	18	fixed	fixed	ADJ
cana-1321	145	19	constant	constant	ADJ
cana-1321	145	20	values	value	NOUN
cana-1321	145	21	phase	phase	NOUN
cana-1321	145	22	price	price	NOUN
cana-1321	145	23	&	&	CCONJ
cana-1321	145	24	its	its	PRON
cana-1321	145	25	reliability	reliability	NOUN
cana-1321	145	26	weight	weight	NOUN
cana-1321	145	27	&	&	CCONJ
cana-1321	145	28	its	its	PRON
cana-1321	145	29	reliability	reliability	NOUN
cana-1321	145	30	volume	volume	NOUN
cana-1321	145	31	&	&	CCONJ
cana-1321	145	32	its	its	PRON
cana-1321	145	33	reliability	reliability	NOUN
cana-1321	145	34	1	1	NUM
cana-1321	145	35	110	110	NUM
cana-1321	145	36	0.85	0.85	NUM
cana-1321	145	37	45	45	NUM
cana-1321	145	38	0.92	0.92	NUM
cana-1321	145	39	40	40	NUM
cana-1321	145	40	0.94	0.94	NUM
cana-1321	145	41	2	2	NUM
cana-1321	145	42	120	120	NUM
cana-1321	145	43	0.88	0.88	NUM
cana-1321	145	44	55	55	NUM
cana-1321	145	45	0.88	0.88	NUM
cana-1321	145	46	50	50	NUM
cana-1321	145	47	0.89	0.89	NUM
cana-1321	145	48	3	3	NUM
cana-1321	145	49	130	130	NUM
cana-1321	145	50	0.91	0.91	NUM
cana-1321	145	51	65	65	NUM
cana-1321	145	52	0.91	0.91	NUM
cana-1321	145	53	60	60	NUM
cana-1321	145	54	0.86	0.86	NUM
cana-1321	145	55	the	the	DET
cana-1321	145	56	tables	table	NOUN
cana-1321	145	57	below	below	ADP
cana-1321	145	58	present	present	ADJ
cana-1321	145	59	a	a	DET
cana-1321	145	60	visual	visual	ADJ
cana-1321	145	61	representation	representation	NOUN
cana-1321	145	62	of	of	ADP
cana-1321	145	63	the	the	DET
cana-1321	145	64	efficacy	efficacy	NOUN
cana-1321	145	65	of	of	ADP
cana-1321	145	66	individual	individual	ADJ
cana-1321	145	67	factors	factor	NOUN
cana-1321	145	68	,	,	PUNCT
cana-1321	145	69	phases	phase	NOUN
cana-1321	145	70	,	,	PUNCT
cana-1321	145	71	and	and	CCONJ
cana-1321	145	72	the	the	DET
cana-1321	145	73	number	number	NOUN
cana-1321	145	74	of	of	ADP
cana-1321	145	75	factors	factor	NOUN
cana-1321	145	76	in	in	ADP
cana-1321	145	77	each	each	DET
cana-1321	145	78	stage	stage	NOUN
cana-1321	145	79	,	,	PUNCT
cana-1321	145	80	along	along	ADP
cana-1321	145	81	with	with	ADP
cana-1321	145	82	the	the	DET
cana-1321	145	83	structural	structural	ADJ
cana-1321	145	84	effectiveness	effectiveness	NOUN
cana-1321	145	85	.	.	PUNCT
cana-1321	146	1	2.4.1	2.4.1	NUM
cana-1321	146	2	precision	precision	NOUN
cana-1321	146	3	in	in	ADP
cana-1321	146	4	addressing	address	VERB
cana-1321	146	5	price	price	NOUN
cana-1321	146	6	-	-	PUNCT
cana-1321	146	7	component	component	NOUN
cana-1321	146	8	constraints	constraint	NOUN
cana-1321	146	9	through	through	ADP
cana-1321	146	10	the	the	DET
cana-1321	146	11	lagrangean	lagrangean	ADJ
cana-1321	146	12	multiplier	multipli	ADJ
cana-1321	146	13	technique	technique	NOUN
cana-1321	146	14	.	.	PUNCT
cana-1321	147	1	the	the	DET
cana-1321	147	2	efficiency	efficiency	NOUN
cana-1321	147	3	design	design	NOUN
cana-1321	147	4	based	base	VERB
cana-1321	147	5	on	on	ADP
cana-1321	147	6	value	value	NOUN
cana-1321	147	7	-	-	PUNCT
cana-1321	147	8	related	relate	VERB
cana-1321	147	9	metrics	metric	NOUN
cana-1321	147	10	is	be	AUX
cana-1321	147	11	detailed	detail	VERB
cana-1321	147	12	in	in	ADP
cana-1321	147	13	table	table	NOUN
cana-1321	147	14	2	2	NUM
cana-1321	147	15	.	.	PUNCT
cana-1321	147	16	table	table	NOUN
cana-1321	147	17	2	2	NUM
cana-1321	147	18	.	.	X
cana-1321	148	1	pricecomponent	pricecomponent	ADJ
cana-1321	148	2	constraint	constraint	NOUN
cana-1321	148	3	analysis	analysis	NOUN
cana-1321	148	4	by	by	ADP
cana-1321	148	5	using	use	VERB
cana-1321	148	6	lagrangean	lagrangean	ADJ
cana-1321	148	7	multiplier	multipli	ADJ
cana-1321	148	8	method	method	NOUN
cana-1321	148	9	phase	phase	NOUN
cana-1321	148	10	log	log	NOUN
cana-1321	148	11	log	log	NOUN
cana-1321	148	12	.	.	PUNCT
cana-1321	149	1	01	01	NUM
cana-1321	149	2	110	110	NUM
cana-1321	149	3	0.85	0.85	NUM
cana-1321	149	4	0.9141	0.9141	NUM
cana-1321	149	5	0.0390	0.0390	NUM
cana-1321	149	6	0.7177	0.7177	NUM
cana-1321	149	7	0.1441	0.1441	NUM
cana-1321	149	8	3.6932	3.6932	NUM
cana-1321	149	9	93.5	93.5	NUM
cana-1321	149	10	345.3119	345.3119	NUM
cana-1321	149	11	02	02	NUM
cana-1321	149	12	120	120	NUM
cana-1321	149	13	0.88	0.88	NUM
cana-1321	149	14	0.9245	0.9245	NUM
cana-1321	149	15	0.0341	0.0341	NUM
cana-1321	149	16	0.7098	0.7098	NUM
cana-1321	149	17	0.1489	0.1489	NUM
cana-1321	149	18	4.3664	4.3664	NUM
cana-1321	149	19	105.6	105.6	NUM
cana-1321	149	20	461.0917	461.0917	NUM
cana-1321	149	21	03	03	NUM
cana-1321	149	22	130	130	NUM
cana-1321	149	23	0.91	0.91	NUM
cana-1321	149	24	0.9247	0.9247	NUM
cana-1321	149	25	0.0340	0.0340	NUM
cana-1321	149	26	0.6461	0.6461	NUM
cana-1321	149	27	0.1897	0.1897	NUM
cana-1321	150	1	5.5796	5.5796	NUM
cana-1321	150	2	118.3	118.3	NUM
cana-1321	150	3	660.0620	660.0620	NUM
cana-1321	150	4	final	final	ADJ
cana-1321	150	5	price	price	NOUN
cana-1321	150	6	-	-	PUNCT
cana-1321	150	7	component	component	NOUN
cana-1321	150	8	1466.4655	1466.4655	PROPN
cana-1321	150	9	2.4.2	2.4.2	NUM
cana-1321	150	10	precision	precision	NOUN
cana-1321	150	11	in	in	ADP
cana-1321	150	12	addressing	address	VERB
cana-1321	150	13	load	load	NOUN
cana-1321	150	14	-	-	PUNCT
cana-1321	150	15	component	component	NOUN
cana-1321	150	16	constraints	constraint	NOUN
cana-1321	150	17	through	through	ADP
cana-1321	150	18	the	the	DET
cana-1321	150	19	lagrangean	lagrangean	ADJ
cana-1321	150	20	multiplier	multipli	ADJ
cana-1321	150	21	technique	technique	NOUN
cana-1321	150	22	.	.	PUNCT
cana-1321	151	1	the	the	DET
cana-1321	151	2	efficiency	efficiency	NOUN
cana-1321	151	3	design	design	NOUN
cana-1321	151	4	based	base	VERB
cana-1321	151	5	on	on	ADP
cana-1321	151	6	load	load	NOUN
cana-1321	151	7	-	-	PUNCT
cana-1321	151	8	related	relate	VERB
cana-1321	151	9	metrics	metric	NOUN
cana-1321	151	10	is	be	AUX
cana-1321	151	11	detailed	detail	VERB
cana-1321	151	12	in	in	ADP
cana-1321	151	13	table	table	NOUN
cana-1321	151	14	3	3	NUM
cana-1321	151	15	.	.	PUNCT
cana-1321	151	16	table	table	NOUN
cana-1321	151	17	3	3	NUM
cana-1321	151	18	.	.	PUNCT
cana-1321	151	19	weightcomponent	weightcomponent	ADJ
cana-1321	151	20	constraint	constraint	NOUN
cana-1321	151	21	analysis	analysis	NOUN
cana-1321	151	22	by	by	ADP
cana-1321	151	23	using	use	VERB
cana-1321	151	24	lagrangean	lagrangean	ADJ
cana-1321	151	25	multiplier	multipli	ADJ
cana-1321	151	26	method	method	NOUN
cana-1321	151	27	phase	phase	NOUN
cana-1321	151	28	log	log	NOUN
cana-1321	151	29	log	log	NOUN
cana-1321	151	30	.	.	PUNCT
cana-1321	152	1	01	01	NUM
cana-1321	152	2	45	45	NUM
cana-1321	152	3	0.92	0.92	NUM
cana-1321	152	4	0.9141	0.9141	NUM
cana-1321	152	5	0.0390	0.0390	NUM
cana-1321	152	6	0.7177	0.7177	NUM
cana-1321	152	7	0.1441	0.1441	NUM
cana-1321	152	8	3.6932	3.6932	NUM
cana-1321	152	9	41.4	41.4	NUM
cana-1321	152	10	152.8974	152.8974	NUM
cana-1321	152	11	02	02	NUM
cana-1321	152	12	55	55	NUM
cana-1321	152	13	0.88	0.88	NUM
cana-1321	152	14	0.9245	0.9245	NUM
cana-1321	152	15	0.0341	0.0341	NUM
cana-1321	152	16	0.7098	0.7098	NUM
cana-1321	152	17	0.1489	0.1489	NUM
cana-1321	152	18	4.3664	4.3664	NUM
cana-1321	152	19	48.4	48.4	NUM
cana-1321	152	20	211.3337	211.3337	NUM
cana-1321	152	21	03	03	NUM
cana-1321	152	22	65	65	NUM
cana-1321	152	23	0.91	0.91	NUM
cana-1321	152	24	0.9247	0.9247	NUM
cana-1321	152	25	0.0340	0.0340	NUM
cana-1321	152	26	0.6461	0.6461	NUM
cana-1321	152	27	0.1897	0.1897	NUM
cana-1321	153	1	5.5796	5.5796	NUM
cana-1321	153	2	59.15	59.15	NUM
cana-1321	153	3	330.0310	330.0310	NUM
cana-1321	153	4	final	final	ADJ
cana-1321	153	5	weight	weight	NOUN
cana-1321	153	6	-	-	PUNCT
cana-1321	153	7	component	component	NOUN
cana-1321	153	8	694.2621	694.2621	NUM
cana-1321	153	9	communications	communication	NOUN
cana-1321	153	10	on	on	ADP
cana-1321	153	11	applied	apply	VERB
cana-1321	153	12	nonlinear	nonlinear	ADJ
cana-1321	153	13	analysis	analysis	NOUN
cana-1321	153	14	issn	issn	NOUN
cana-1321	153	15	:	:	PUNCT
cana-1321	153	16	1074	1074	NUM
cana-1321	153	17	-	-	PUNCT
cana-1321	153	18	133x	133x	NUM
cana-1321	153	19	vol	vol	NOUN
cana-1321	153	20	31	31	NUM
cana-1321	153	21	no	no	NOUN
cana-1321	153	22	.	.	PUNCT
cana-1321	154	1	7s	7	NOUN
cana-1321	154	2	(	(	PUNCT
cana-1321	154	3	2024	2024	NUM
cana-1321	154	4	)	)	PUNCT
cana-1321	154	5	429	429	NUM
cana-1321	154	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	154	7	2.4.3	2.4.3	NUM
cana-1321	154	8	precision	precision	NOUN
cana-1321	154	9	in	in	ADP
cana-1321	154	10	addressing	address	VERB
cana-1321	154	11	size	size	NOUN
cana-1321	154	12	-	-	PUNCT
cana-1321	154	13	component	component	NOUN
cana-1321	154	14	constraints	constraint	NOUN
cana-1321	154	15	through	through	ADP
cana-1321	154	16	the	the	DET
cana-1321	154	17	lagrangean	lagrangean	ADJ
cana-1321	154	18	multiplier	multipli	ADJ
cana-1321	154	19	technique	technique	NOUN
cana-1321	154	20	.	.	PUNCT
cana-1321	155	1	the	the	DET
cana-1321	155	2	efficiency	efficiency	NOUN
cana-1321	155	3	design	design	NOUN
cana-1321	155	4	based	base	VERB
cana-1321	155	5	on	on	ADP
cana-1321	155	6	size	size	NOUN
cana-1321	155	7	-	-	PUNCT
cana-1321	155	8	related	relate	VERB
cana-1321	155	9	metrics	metric	NOUN
cana-1321	155	10	is	be	AUX
cana-1321	155	11	detailed	detail	VERB
cana-1321	155	12	in	in	ADP
cana-1321	155	13	table	table	NOUN
cana-1321	155	14	4	4	NUM
cana-1321	155	15	.	.	PUNCT
cana-1321	155	16	table	table	NOUN
cana-1321	155	17	4	4	NUM
cana-1321	155	18	.	.	PUNCT
cana-1321	155	19	volume	volume	NOUN
cana-1321	155	20	-	-	PUNCT
cana-1321	155	21	component	component	NOUN
cana-1321	155	22	constraint	constraint	NOUN
cana-1321	155	23	analysis	analysis	NOUN
cana-1321	155	24	by	by	ADP
cana-1321	155	25	using	use	VERB
cana-1321	155	26	lagrangean	lagrangean	ADJ
cana-1321	155	27	multiplier	multipli	ADJ
cana-1321	155	28	method	method	NOUN
cana-1321	155	29	phase	phase	NOUN
cana-1321	155	30	log	log	NOUN
cana-1321	155	31	log	log	NOUN
cana-1321	155	32	01	01	NUM
cana-1321	155	33	40	40	NUM
cana-1321	155	34	0.94	0.94	NUM
cana-1321	156	1	0.9141	0.9141	NUM
cana-1321	156	2	0.0390	0.0390	NUM
cana-1321	156	3	0.7177	0.7177	NUM
cana-1321	156	4	0.1441	0.1441	NUM
cana-1321	156	5	3.6932	3.6932	NUM
cana-1321	156	6	37.6	37.6	NUM
cana-1321	156	7	138.8634	138.8634	NUM
cana-1321	156	8	02	02	NUM
cana-1321	156	9	50	50	NUM
cana-1321	156	10	0.89	0.89	NUM
cana-1321	156	11	0.9245	0.9245	NUM
cana-1321	156	12	0.0341	0.0341	NUM
cana-1321	156	13	0.7098	0.7098	NUM
cana-1321	156	14	0.1489	0.1489	NUM
cana-1321	156	15	4.3664	4.3664	NUM
cana-1321	156	16	44.5	44.5	NUM
cana-1321	156	17	194.3047	194.3047	NUM
cana-1321	156	18	03	03	NUM
cana-1321	156	19	60	60	NUM
cana-1321	156	20	0.86	0.86	NUM
cana-1321	156	21	0.9247	0.9247	NUM
cana-1321	156	22	0.0340	0.0340	NUM
cana-1321	156	23	0.6461	0.6461	NUM
cana-1321	156	24	0.1897	0.1897	NUM
cana-1321	157	1	5.5796	5.5796	NUM
cana-1321	157	2	51.6	51.6	NUM
cana-1321	157	3	287.9053	287.9053	NUM
cana-1321	157	4	final	final	ADJ
cana-1321	157	5	volume	volume	NOUN
cana-1321	157	6	-	-	PUNCT
cana-1321	157	7	component	component	NOUN
cana-1321	157	8	621.0734	621.0734	NUM
cana-1321	157	9	the	the	DET
cana-1321	157	10	reliability	reliability	NOUN
cana-1321	157	11	of	of	ADP
cana-1321	157	12	the	the	DET
cana-1321	157	13	structure	structure	NOUN
cana-1321	157	14	(	(	PUNCT
cana-1321	157	15	)	)	PUNCT
cana-1321	157	16	,	,	PUNCT
cana-1321	157	17	without	without	ADP
cana-1321	157	18	any	any	DET
cana-1321	157	19	rounding	round	VERB
cana-1321	157	20	-	-	PUNCT
cana-1321	157	21	off	off	NOUN
cana-1321	157	22	,	,	PUNCT
cana-1321	157	23	is	be	AUX
cana-1321	157	24	directly	directly	ADV
cana-1321	157	25	linked	link	VERB
cana-1321	157	26	to	to	ADP
cana-1321	157	27	the	the	DET
cana-1321	157	28	specific	specific	ADJ
cana-1321	157	29	components	component	NOUN
cana-1321	157	30	of	of	ADP
cana-1321	157	31	the	the	DET
cana-1321	157	32	price	price	NOUN
cana-1321	157	33	-	-	PUNCT
cana-1321	157	34	component	component	NOUN
cana-1321	157	35	,	,	PUNCT
cana-1321	157	36	weight	weight	NOUN
cana-1321	157	37	-	-	PUNCT
cana-1321	157	38	component	component	NOUN
cana-1321	157	39	,	,	PUNCT
cana-1321	157	40	and	and	CCONJ
cana-1321	157	41	volume	volume	NOUN
cana-1321	157	42	-	-	PUNCT
cana-1321	157	43	component	component	NOUN
cana-1321	157	44	,	,	PUNCT
cana-1321	157	45	maintaining	maintain	VERB
cana-1321	157	46	a	a	DET
cana-1321	157	47	constant	constant	ADJ
cana-1321	157	48	proportionality	proportionality	NOUN
cana-1321	157	49	factor	factor	NOUN
cana-1321	157	50	of	of	ADP
cana-1321	157	51	0.8967	0.8967	NUM
cana-1321	157	52	.	.	PUNCT
cana-1321	158	1	3	3	X
cana-1321	158	2	.	.	X
cana-1321	158	3	enhancing	enhance	VERB
cana-1321	158	4	efficiency	efficiency	NOUN
cana-1321	158	5	via	via	ADP
cana-1321	158	6	the	the	DET
cana-1321	158	7	utilization	utilization	NOUN
cana-1321	158	8	of	of	ADP
cana-1321	158	9	the	the	DET
cana-1321	158	10	lagrangean	lagrangean	ADJ
cana-1321	158	11	multiplier	multipli	ADJ
cana-1321	158	12	technique	technique	NOUN
cana-1321	158	13	for	for	ADP
cana-1321	158	14	optimization	optimization	NOUN
cana-1321	158	15	the	the	DET
cana-1321	158	16	efficiency	efficiency	NOUN
cana-1321	158	17	of	of	ADP
cana-1321	158	18	the	the	DET
cana-1321	158	19	design	design	NOUN
cana-1321	158	20	involves	involve	VERB
cana-1321	158	21	aggregating	aggregate	VERB
cana-1321	158	22	the	the	DET
cana-1321	158	23	integers	integer	NOUN
cana-1321	158	24	,	,	PUNCT
cana-1321	158	25	rounding	round	VERB
cana-1321	158	26	each	each	DET
cana-1321	158	27	value	value	NOUN
cana-1321	158	28	to	to	ADP
cana-1321	158	29	the	the	DET
cana-1321	158	30	nearest	near	ADJ
cana-1321	158	31	whole	whole	ADJ
cana-1321	158	32	number	number	NOUN
cana-1321	158	33	.	.	PUNCT
cana-1321	159	1	detailed	detailed	ADJ
cana-1321	159	2	tables	table	NOUN
cana-1321	159	3	outline	outline	VERB
cana-1321	159	4	the	the	DET
cana-1321	159	5	acceptable	acceptable	ADJ
cana-1321	159	6	outcomes	outcome	NOUN
cana-1321	159	7	for	for	ADP
cana-1321	159	8	the	the	DET
cana-1321	159	9	price	price	NOUN
cana-1321	159	10	-	-	PUNCT
cana-1321	159	11	component	component	NOUN
cana-1321	159	12	,	,	PUNCT
cana-1321	159	13	weight	weight	NOUN
cana-1321	159	14	-	-	PUNCT
cana-1321	159	15	component	component	NOUN
cana-1321	159	16	,	,	PUNCT
cana-1321	159	17	and	and	CCONJ
cana-1321	159	18	volume	volume	NOUN
cana-1321	159	19	-	-	PUNCT
cana-1321	159	20	component	component	NOUN
cana-1321	159	21	.	.	PUNCT
cana-1321	160	1	the	the	DET
cana-1321	160	2	current	current	ADJ
cana-1321	160	3	undertaking	undertaking	NOUN
cana-1321	160	4	requires	require	VERB
cana-1321	160	5	the	the	DET
cana-1321	160	6	calculation	calculation	NOUN
cana-1321	160	7	of	of	ADP
cana-1321	160	8	variances	variance	NOUN
cana-1321	160	9	attributed	attribute	VERB
cana-1321	160	10	to	to	ADP
cana-1321	160	11	the	the	DET
cana-1321	160	12	price	price	NOUN
cana-1321	160	13	-	-	PUNCT
cana-1321	160	14	component	component	NOUN
cana-1321	160	15	,	,	PUNCT
cana-1321	160	16	weight	weight	NOUN
cana-1321	160	17	-	-	PUNCT
cana-1321	160	18	component	component	NOUN
cana-1321	160	19	,	,	PUNCT
cana-1321	160	20	and	and	CCONJ
cana-1321	160	21	volume	volume	NOUN
cana-1321	160	22	-	-	PUNCT
cana-1321	160	23	component	component	NOUN
cana-1321	160	24	,	,	PUNCT
cana-1321	160	25	as	as	ADV
cana-1321	160	26	well	well	ADV
cana-1321	160	27	as	as	ADP
cana-1321	160	28	construction	construction	NOUN
cana-1321	160	29	capacity	capacity	NOUN
cana-1321	160	30	,	,	PUNCT
cana-1321	160	31	both	both	PRON
cana-1321	160	32	prior	prior	ADV
cana-1321	160	33	to	to	ADP
cana-1321	160	34	and	and	CCONJ
cana-1321	160	35	following	follow	VERB
cana-1321	160	36	the	the	DET
cana-1321	160	37	rounding	rounding	NOUN
cana-1321	160	38	off	off	ADP
cana-1321	160	39	of	of	ADP
cana-1321	160	40	to	to	ADP
cana-1321	160	41	the	the	DET
cana-1321	160	42	nearest	near	ADJ
cana-1321	160	43	integer	integer	NOUN
cana-1321	160	44	,	,	PUNCT
cana-1321	160	45	in	in	ADP
cana-1321	160	46	order	order	NOUN
cana-1321	160	47	to	to	PART
cana-1321	160	48	extract	extract	VERB
cana-1321	160	49	comprehensive	comprehensive	ADJ
cana-1321	160	50	insights	insight	NOUN
cana-1321	160	51	.	.	PUNCT
cana-1321	161	1	3.1	3.1	NUM
cana-1321	161	2	enhancing	enhance	VERB
cana-1321	161	3	efficiency	efficiency	NOUN
cana-1321	161	4	through	through	ADP
cana-1321	161	5	lagrangean	lagrangean	ADJ
cana-1321	161	6	multiplier	multipli	ADJ
cana-1321	161	7	method	method	NOUN
cana-1321	161	8	:	:	PUNCT
cana-1321	161	9	precision	precision	NOUN
cana-1321	161	10	in	in	ADP
cana-1321	161	11	handling	handle	VERB
cana-1321	161	12	price	price	NOUN
cana-1321	161	13	,	,	PUNCT
cana-1321	161	14	weight	weight	NOUN
cana-1321	161	15	,	,	PUNCT
cana-1321	161	16	and	and	CCONJ
cana-1321	161	17	volume	volume	NOUN
cana-1321	161	18	components	component	NOUN
cana-1321	161	19	table	table	VERB
cana-1321	161	20	5	5	NUM
cana-1321	161	21	.	.	PUNCT
cana-1321	161	22	efficiency	efficiency	NOUN
cana-1321	161	23	design	design	NOUN
cana-1321	161	24	relating	relate	VERB
cana-1321	161	25	to	to	ADP
cana-1321	161	26	price	price	NOUN
cana-1321	161	27	-	-	PUNCT
cana-1321	161	28	component	component	NOUN
cana-1321	161	29	,	,	PUNCT
cana-1321	161	30	weight	weight	NOUN
cana-1321	161	31	-	-	PUNCT
cana-1321	161	32	component	component	NOUN
cana-1321	161	33	,	,	PUNCT
cana-1321	161	34	and	and	CCONJ
cana-1321	161	35	volume	volume	NOUN
cana-1321	161	36	-	-	PUNCT
cana-1321	161	37	component	component	NOUN
cana-1321	161	38	constraint	constraint	NOUN
cana-1321	161	39	analysis	analysis	NOUN
cana-1321	161	40	by	by	ADP
cana-1321	161	41	using	use	VERB
cana-1321	161	42	lagrangean	lagrangean	ADJ
cana-1321	161	43	multiplier	multipli	ADJ
cana-1321	161	44	method	method	NOUN
cana-1321	161	45	with	with	ADP
cana-1321	161	46	rounding	round	VERB
cana-1321	161	47	off	off	ADP
cana-1321	161	48	is	be	AUX
cana-1321	161	49	shown	show	VERB
cana-1321	161	50	in	in	ADP
cana-1321	161	51	the	the	DET
cana-1321	161	52	following	follow	VERB
cana-1321	161	53	table	table	NOUN
cana-1321	161	54	.	.	PUNCT
cana-1321	162	1	phase	phase	NOUN
cana-1321	162	2	.	.	PUNCT
cana-1321	162	3	.	.	PUNCT
cana-1321	162	4	.	.	PUNCT
cana-1321	163	1	01	01	NUM
cana-1321	164	1	0.9141	0.9141	NUM
cana-1321	164	2	0.7177	0.7177	NUM
cana-1321	164	3	4	4	NUM
cana-1321	164	4	94	94	NUM
cana-1321	164	5	376	376	NUM
cana-1321	164	6	41	41	NUM
cana-1321	164	7	164	164	NUM
cana-1321	164	8	38	38	NUM
cana-1321	164	9	152	152	NUM
cana-1321	164	10	02	02	NUM
cana-1321	164	11	0.9245	0.9245	NUM
cana-1321	164	12	0.7098	0.7098	NUM
cana-1321	164	13	4	4	NUM
cana-1321	164	14	106	106	NUM
cana-1321	164	15	424	424	NUM
cana-1321	164	16	48	48	NUM
cana-1321	164	17	192	192	NUM
cana-1321	164	18	45	45	NUM
cana-1321	164	19	180	180	NUM
cana-1321	164	20	03	03	NUM
cana-1321	164	21	0.9247	0.9247	NUM
cana-1321	164	22	0.6461	0.6461	NUM
cana-1321	164	23	6	6	NUM
cana-1321	164	24	118	118	NUM
cana-1321	164	25	708	708	NUM
cana-1321	164	26	59	59	NUM
cana-1321	164	27	354	354	NUM
cana-1321	164	28	52	52	NUM
cana-1321	164	29	312	312	NUM
cana-1321	164	30	1508	1508	NUM
cana-1321	164	31	710	710	NUM
cana-1321	164	32	644	644	NUM
cana-1321	164	33	(	(	PUNCT
cana-1321	164	34	0.9392	0.9392	NUM
cana-1321	164	35	3.2	3.2	NUM
cana-1321	164	36	analyzing	analyze	VERB
cana-1321	164	37	lmm	lmm	PROPN
cana-1321	164	38	approach	approach	NOUN
cana-1321	164	39	:	:	PUNCT
cana-1321	164	40	impact	impact	NOUN
cana-1321	164	41	of	of	ADP
cana-1321	164	42	rounding	round	VERB
cana-1321	164	43	-	-	PUNCT
cana-1321	164	44	off	off	NOUN
cana-1321	164	45	on	on	ADP
cana-1321	164	46	price	price	NOUN
cana-1321	164	47	,	,	PUNCT
cana-1321	164	48	weight	weight	NOUN
cana-1321	164	49	,	,	PUNCT
cana-1321	164	50	and	and	CCONJ
cana-1321	164	51	volume	volume	NOUN
cana-1321	164	52	components	component	NOUN
cana-1321	164	53	in	in	ADP
cana-1321	164	54	the	the	DET
cana-1321	164	55	context	context	NOUN
cana-1321	164	56	of	of	ADP
cana-1321	164	57	the	the	DET
cana-1321	164	58	lagrangean	lagrangean	ADJ
cana-1321	164	59	multiplier	multipli	ADJ
cana-1321	164	60	method	method	NOUN
cana-1321	164	61	framework	framework	NOUN
cana-1321	164	62	,	,	PUNCT
cana-1321	164	63	the	the	DET
cana-1321	164	64	identification	identification	NOUN
cana-1321	164	65	of	of	ADP
cana-1321	164	66	the	the	DET
cana-1321	164	67	quantity	quantity	NOUN
cana-1321	164	68	of	of	ADP
cana-1321	164	69	components	component	NOUN
cana-1321	164	70	,	,	PUNCT
cana-1321	164	71	component	component	NOUN
cana-1321	164	72	reliability	reliability	NOUN
cana-1321	164	73	,	,	PUNCT
cana-1321	164	74	stage	stage	NOUN
cana-1321	164	75	reliability	reliability	NOUN
cana-1321	164	76	,	,	PUNCT
cana-1321	164	77	and	and	CCONJ
cana-1321	164	78	overall	overall	ADJ
cana-1321	164	79	system	system	NOUN
cana-1321	164	80	reliability	reliability	NOUN
cana-1321	164	81	is	be	AUX
cana-1321	164	82	accomplished	accomplish	VERB
cana-1321	164	83	through	through	ADP
cana-1321	164	84	a	a	DET
cana-1321	164	85	matlab	matlab	PROPN
cana-1321	164	86	program	program	NOUN
cana-1321	164	87	that	that	PRON
cana-1321	164	88	is	be	AUX
cana-1321	164	89	directly	directly	ADV
cana-1321	164	90	proportional	proportional	ADJ
cana-1321	164	91	to	to	ADP
cana-1321	164	92	price	price	NOUN
cana-1321	164	93	,	,	PUNCT
cana-1321	164	94	weight	weight	NOUN
cana-1321	164	95	,	,	PUNCT
cana-1321	164	96	and	and	CCONJ
cana-1321	164	97	volume	volume	NOUN
cana-1321	164	98	.	.	PUNCT
cana-1321	165	1	during	during	ADP
cana-1321	165	2	this	this	DET
cana-1321	165	3	computational	computational	ADJ
cana-1321	165	4	process	process	NOUN
cana-1321	165	5	,	,	PUNCT
cana-1321	165	6	real	real	ADV
cana-1321	165	7	-	-	PUNCT
cana-1321	165	8	valued	value	VERB
cana-1321	165	9	solutions	solution	NOUN
cana-1321	165	10	were	be	AUX
cana-1321	165	11	acquired	acquire	VERB
cana-1321	165	12	,	,	PUNCT
cana-1321	165	13	proving	prove	VERB
cana-1321	165	14	incompatible	incompatible	ADJ
cana-1321	165	15	with	with	ADP
cana-1321	165	16	the	the	DET
cana-1321	165	17	objectives	objective	NOUN
cana-1321	165	18	of	of	ADP
cana-1321	165	19	the	the	DET
cana-1321	165	20	ongoing	ongoing	ADJ
cana-1321	165	21	irrm	irrm	ADJ
cana-1321	165	22	study	study	NOUN
cana-1321	165	23	.	.	PUNCT
cana-1321	166	1	consequently	consequently	ADV
cana-1321	166	2	,	,	PUNCT
cana-1321	166	3	the	the	DET
cana-1321	166	4	widely	widely	ADV
cana-1321	166	5	employed	employ	VERB
cana-1321	166	6	rounding	rounding	NOUN
cana-1321	166	7	-	-	PUNCT
cana-1321	166	8	off	off	ADP
cana-1321	166	9	method	method	NOUN
cana-1321	166	10	was	be	AUX
cana-1321	166	11	communications	communication	NOUN
cana-1321	166	12	on	on	ADP
cana-1321	166	13	applied	apply	VERB
cana-1321	166	14	nonlinear	nonlinear	ADJ
cana-1321	166	15	analysis	analysis	NOUN
cana-1321	166	16	issn	issn	NOUN
cana-1321	166	17	:	:	PUNCT
cana-1321	166	18	1074	1074	NUM
cana-1321	166	19	-	-	PUNCT
cana-1321	166	20	133x	133x	NUM
cana-1321	166	21	vol	vol	NOUN
cana-1321	166	22	31	31	NUM
cana-1321	166	23	no	no	NOUN
cana-1321	166	24	.	.	PUNCT
cana-1321	167	1	7s	7	NOUN
cana-1321	167	2	(	(	PUNCT
cana-1321	167	3	2024	2024	NUM
cana-1321	167	4	)	)	PUNCT
cana-1321	167	5	430	430	NUM
cana-1321	167	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	167	7	implemented	implement	VERB
cana-1321	167	8	to	to	PART
cana-1321	167	9	derive	derive	VERB
cana-1321	167	10	integer	integer	NOUN
cana-1321	167	11	-	-	PUNCT
cana-1321	167	12	valued	value	VERB
cana-1321	167	13	solutions	solution	NOUN
cana-1321	167	14	.	.	PUNCT
cana-1321	168	1	the	the	DET
cana-1321	168	2	ensuing	ensue	VERB
cana-1321	168	3	outcomes	outcome	NOUN
cana-1321	168	4	delineate	delineate	VERB
cana-1321	168	5	the	the	DET
cana-1321	168	6	distinctions	distinction	NOUN
cana-1321	168	7	between	between	ADP
cana-1321	168	8	the	the	DET
cana-1321	168	9	lmm	lmm	PROPN
cana-1321	168	10	approach	approach	NOUN
cana-1321	168	11	without	without	ADP
cana-1321	168	12	rounding	round	VERB
cana-1321	168	13	-	-	PUNCT
cana-1321	168	14	off	off	NOUN
cana-1321	168	15	and	and	CCONJ
cana-1321	168	16	the	the	DET
cana-1321	168	17	lmm	lmm	PROPN
cana-1321	168	18	approach	approach	NOUN
cana-1321	168	19	with	with	ADP
cana-1321	168	20	rounding	round	VERB
cana-1321	168	21	-	-	PUNCT
cana-1321	168	22	off	off	NOUN
cana-1321	168	23	.	.	PUNCT
cana-1321	169	1	3.2.1	3.2.1	NUM
cana-1321	169	2	fluctuation	fluctuation	NOUN
cana-1321	169	3	in	in	ADP
cana-1321	169	4	price	price	NOUN
cana-1321	169	5	-	-	PUNCT
cana-1321	169	6	component	component	NOUN
cana-1321	169	7	under	under	ADP
cana-1321	169	8	lmm	lmm	PROPN
cana-1321	169	9	&	&	CCONJ
cana-1321	169	10	lmmwr	lmmwr	ADJ
cana-1321	169	11	frame	frame	NOUN
cana-1321	169	12	work	work	NOUN
cana-1321	169	13	=	=	PUNCT
cana-1321	169	14	02.83	02.83	NUM
cana-1321	169	15	%	%	NOUN
cana-1321	169	16	3.2.2	3.2.2	NUM
cana-1321	169	17	fluctuation	fluctuation	NOUN
cana-1321	169	18	in	in	ADP
cana-1321	169	19	weight	weight	NOUN
cana-1321	169	20	-	-	PUNCT
cana-1321	169	21	component	component	NOUN
cana-1321	169	22	under	under	ADP
cana-1321	169	23	lmm	lmm	PROPN
cana-1321	169	24	&	&	CCONJ
cana-1321	169	25	lmmwr	lmmwr	ADJ
cana-1321	169	26	frame	frame	NOUN
cana-1321	169	27	work	work	NOUN
cana-1321	169	28	=	=	PUNCT
cana-1321	169	29	02.27	02.27	NUM
cana-1321	169	30	%	%	NOUN
cana-1321	169	31	3.2.3	3.2.3	NUM
cana-1321	169	32	fluctuation	fluctuation	NOUN
cana-1321	169	33	in	in	ADP
cana-1321	169	34	volume	volume	NOUN
cana-1321	169	35	-	-	PUNCT
cana-1321	169	36	component	component	NOUN
cana-1321	169	37	under	under	ADP
cana-1321	169	38	lmm	lmm	PROPN
cana-1321	169	39	&	&	CCONJ
cana-1321	169	40	lmmwr	lmmwr	ADJ
cana-1321	169	41	frame	frame	NOUN
cana-1321	169	42	work	work	NOUN
cana-1321	169	43	=	=	PUNCT
cana-1321	169	44	03.69	03.69	NUM
cana-1321	169	45	%	%	NOUN
cana-1321	169	46	3.2.4	3.2.4	NUM
cana-1321	169	47	fluctuation	fluctuation	NOUN
cana-1321	169	48	in	in	ADP
cana-1321	169	49	system	system	NOUN
cana-1321	169	50	reliability	reliability	NOUN
cana-1321	169	51	under	under	ADP
cana-1321	169	52	lmm	lmm	PROPN
cana-1321	169	53	&	&	CCONJ
cana-1321	169	54	lmmwr	lmmwr	ADJ
cana-1321	169	55	frame	frame	NOUN
cana-1321	169	56	work	work	NOUN
cana-1321	169	57	=	=	PUNCT
cana-1321	169	58	04.74	04.74	NUM
cana-1321	169	59	%	%	NOUN
cana-1321	169	60	4	4	NUM
cana-1321	169	61	integer	integer	NOUN
cana-1321	169	62	programming	programming	NOUN
cana-1321	169	63	approach	approach	NOUN
cana-1321	169	64	utilizing	utilize	VERB
cana-1321	169	65	integer	integer	NOUN
cana-1321	169	66	programming	programming	NOUN
cana-1321	169	67	necessitates	necessitate	VERB
cana-1321	169	68	the	the	DET
cana-1321	169	69	input	input	NOUN
cana-1321	169	70	of	of	ADP
cana-1321	169	71	component	component	NOUN
cana-1321	169	72	reliabilities	reliability	NOUN
cana-1321	169	73	to	to	PART
cana-1321	169	74	ascertain	ascertain	VERB
cana-1321	169	75	the	the	DET
cana-1321	169	76	number	number	NOUN
cana-1321	169	77	of	of	ADP
cana-1321	169	78	components	component	NOUN
cana-1321	169	79	in	in	ADP
cana-1321	169	80	each	each	DET
cana-1321	169	81	stage	stage	NOUN
cana-1321	169	82	,	,	PUNCT
cana-1321	169	83	stage	stage	NOUN
cana-1321	169	84	reliabilities	reliability	NOUN
cana-1321	169	85	,	,	PUNCT
cana-1321	169	86	and	and	CCONJ
cana-1321	169	87	system	system	NOUN
cana-1321	169	88	reliability	reliability	NOUN
cana-1321	169	89	.	.	PUNCT
cana-1321	170	1	however	however	ADV
cana-1321	170	2	,	,	PUNCT
cana-1321	170	3	a	a	DET
cana-1321	170	4	notable	notable	ADJ
cana-1321	170	5	drawback	drawback	NOUN
cana-1321	170	6	of	of	ADP
cana-1321	170	7	integer	integer	NOUN
cana-1321	170	8	programming	programming	NOUN
cana-1321	170	9	is	be	AUX
cana-1321	170	10	its	its	PRON
cana-1321	170	11	inability	inability	NOUN
cana-1321	170	12	to	to	PART
cana-1321	170	13	be	be	AUX
cana-1321	170	14	directly	directly	ADV
cana-1321	170	15	employed	employ	VERB
cana-1321	170	16	,	,	PUNCT
cana-1321	170	17	i.e.	i.e.	X
cana-1321	170	18	,	,	PUNCT
cana-1321	170	19	without	without	SCONJ
cana-1321	170	20	the	the	DET
cana-1321	170	21	component	component	NOUN
cana-1321	170	22	reliabilities	reliability	NOUN
cana-1321	170	23	input	input	VERB
cana-1321	170	24	,	,	PUNCT
cana-1321	170	25	in	in	ADP
cana-1321	170	26	constructing	construct	VERB
cana-1321	170	27	the	the	DET
cana-1321	170	28	integrated	integrated	ADJ
cana-1321	170	29	reliability	reliability	NOUN
cana-1321	170	30	model	model	NOUN
cana-1321	170	31	.	.	PUNCT
cana-1321	171	1	in	in	ADP
cana-1321	171	2	the	the	DET
cana-1321	171	3	work	work	NOUN
cana-1321	171	4	[	[	X
cana-1321	171	5	17	17	NUM
cana-1321	171	6	]	]	PUNCT
cana-1321	171	7	of	of	ADP
cana-1321	171	8	karim	karim	PROPN
cana-1321	171	9	guilani	guilani	PROPN
cana-1321	171	10	et	et	PROPN
cana-1321	171	11	.	.	PUNCT
cana-1321	172	1	al	al	PROPN
cana-1321	172	2	.	.	PROPN
cana-1321	172	3	,	,	PUNCT
cana-1321	172	4	(	(	PUNCT
cana-1321	172	5	2017	2017	NUM
cana-1321	172	6	)	)	PUNCT
cana-1321	172	7	,	,	PUNCT
cana-1321	172	8	it	it	PRON
cana-1321	172	9	is	be	AUX
cana-1321	172	10	stated	state	VERB
cana-1321	172	11	that	that	SCONJ
cana-1321	172	12	components	component	NOUN
cana-1321	172	13	might	might	AUX
cana-1321	172	14	exist	exist	VERB
cana-1321	172	15	in	in	ADP
cana-1321	172	16	three	three	NUM
cana-1321	172	17	different	different	ADJ
cana-1321	172	18	states	state	NOUN
cana-1321	172	19	.	.	PUNCT
cana-1321	173	1	furthermore	furthermore	ADV
cana-1321	173	2	,	,	PUNCT
cana-1321	173	3	a	a	DET
cana-1321	173	4	bi	bi	ADJ
cana-1321	173	5	-	-	ADJ
cana-1321	173	6	objective	objective	ADJ
cana-1321	173	7	reliability	reliability	NOUN
cana-1321	173	8	allocation	allocation	NOUN
cana-1321	173	9	problem	problem	NOUN
cana-1321	173	10	(	(	PUNCT
cana-1321	173	11	borap	borap	NOUN
cana-1321	173	12	)	)	PUNCT
cana-1321	173	13	is	be	AUX
cana-1321	173	14	formulated	formulate	VERB
cana-1321	173	15	for	for	ADP
cana-1321	173	16	a	a	DET
cana-1321	173	17	system	system	NOUN
cana-1321	173	18	consisting	consist	VERB
cana-1321	173	19	of	of	ADP
cana-1321	173	20	sequential	sequential	ADJ
cana-1321	173	21	subsystems	subsystem	NOUN
cana-1321	173	22	.	.	PUNCT
cana-1321	174	1	each	each	DET
cana-1321	174	2	subsystem	subsystem	NOUN
cana-1321	174	3	has	have	VERB
cana-1321	174	4	non	non	ADJ
cana-1321	174	5	-	-	ADJ
cana-1321	174	6	repairable	repairable	ADJ
cana-1321	174	7	tri	tri	ADJ
cana-1321	174	8	-	-	ADJ
cana-1321	174	9	state	state	ADJ
cana-1321	174	10	components	component	NOUN
cana-1321	174	11	that	that	PRON
cana-1321	174	12	are	be	AUX
cana-1321	174	13	connected	connect	VERB
cana-1321	174	14	in	in	ADP
cana-1321	174	15	parallel	parallel	NOUN
cana-1321	174	16	,	,	PUNCT
cana-1321	174	17	and	and	CCONJ
cana-1321	174	18	the	the	DET
cana-1321	174	19	subsystem	subsystem	NOUN
cana-1321	174	20	operates	operate	VERB
cana-1321	174	21	according	accord	VERB
cana-1321	174	22	to	to	ADP
cana-1321	174	23	a	a	DET
cana-1321	174	24	k	k	NOUN
cana-1321	174	25	-	-	PUNCT
cana-1321	174	26	out	out	ADP
cana-1321	174	27	-	-	PUNCT
cana-1321	174	28	of	of	ADP
cana-1321	174	29	-	-	PUNCT
cana-1321	174	30	n	n	NOUN
cana-1321	174	31	policy	policy	NOUN
cana-1321	174	32	.	.	PUNCT
cana-1321	175	1	sridhar	sridhar	PROPN
cana-1321	175	2	,	,	PUNCT
cana-1321	175	3	akiri	akiri	PROPN
cana-1321	175	4	,	,	PUNCT
cana-1321	175	5	et	et	PROPN
cana-1321	175	6	al	al	PROPN
cana-1321	175	7	.	.	PROPN
cana-1321	175	8	(	(	PUNCT
cana-1321	175	9	2021	2021	NUM
cana-1321	175	10	)	)	PUNCT
cana-1321	175	11	,	,	PUNCT
cana-1321	175	12	investigated	investigate	VERB
cana-1321	175	13	,	,	PUNCT
cana-1321	175	14	developed	develop	VERB
cana-1321	175	15	,	,	PUNCT
cana-1321	175	16	analyzed	analyze	VERB
cana-1321	175	17	,	,	PUNCT
cana-1321	175	18	and	and	CCONJ
cana-1321	175	19	improved	improve	VERB
cana-1321	175	20	an	an	DET
cana-1321	175	21	integrated	integrate	VERB
cana-1321	175	22	coherent	coherent	ADJ
cana-1321	175	23	redundant	redundant	ADJ
cana-1321	175	24	reliability	reliability	NOUN
cana-1321	175	25	design	design	NOUN
cana-1321	175	26	,	,	PUNCT
cana-1321	175	27	which	which	PRON
cana-1321	175	28	has	have	AUX
cana-1321	175	29	not	not	PART
cana-1321	175	30	been	be	AUX
cana-1321	175	31	previously	previously	ADV
cana-1321	175	32	published	publish	VERB
cana-1321	175	33	[	[	PUNCT
cana-1321	175	34	18	18	NUM
cana-1321	175	35	]	]	PUNCT
cana-1321	175	36	.	.	PUNCT
cana-1321	176	1	the	the	DET
cana-1321	176	2	lagrangean	lagrangean	ADJ
cana-1321	176	3	multiplier	multipli	ADJ
cana-1321	176	4	approach	approach	NOUN
cana-1321	176	5	can	can	AUX
cana-1321	176	6	be	be	AUX
cana-1321	176	7	used	use	VERB
cana-1321	176	8	to	to	PART
cana-1321	176	9	design	design	VERB
cana-1321	176	10	and	and	CCONJ
cana-1321	176	11	evaluate	evaluate	VERB
cana-1321	176	12	the	the	DET
cana-1321	176	13	system	system	NOUN
cana-1321	176	14	,	,	PUNCT
cana-1321	176	15	yielding	yield	VERB
cana-1321	176	16	accurate	accurate	ADJ
cana-1321	176	17	unit	unit	NOUN
cana-1321	176	18	counts	count	NOUN
cana-1321	176	19	and	and	CCONJ
cana-1321	176	20	design	design	NOUN
cana-1321	176	21	reliability	reliability	NOUN
cana-1321	176	22	.	.	PUNCT
cana-1321	177	1	practical	practical	ADJ
cana-1321	177	2	implementation	implementation	NOUN
cana-1321	177	3	is	be	AUX
cana-1321	177	4	achieved	achieve	VERB
cana-1321	177	5	with	with	ADP
cana-1321	177	6	an	an	DET
cana-1321	177	7	integer	integer	NOUN
cana-1321	177	8	solution	solution	NOUN
cana-1321	177	9	,	,	PUNCT
cana-1321	177	10	and	and	CCONJ
cana-1321	177	11	design	design	NOUN
cana-1321	177	12	reliability	reliability	NOUN
cana-1321	177	13	is	be	AUX
cana-1321	177	14	optimized	optimize	VERB
cana-1321	177	15	using	use	VERB
cana-1321	177	16	integer	integer	NOUN
cana-1321	177	17	and	and	CCONJ
cana-1321	177	18	dynamic	dynamic	ADJ
cana-1321	177	19	programming	programming	NOUN
cana-1321	177	20	.	.	PUNCT
cana-1321	178	1	redundancy	redundancy	NOUN
cana-1321	178	2	costs	cost	NOUN
cana-1321	178	3	relative	relative	ADJ
cana-1321	178	4	to	to	ADP
cana-1321	178	5	reliability	reliability	NOUN
cana-1321	178	6	.	.	PUNCT
cana-1321	179	1	the	the	DET
cana-1321	179	2	analysis	analysis	NOUN
cana-1321	179	3	makes	make	VERB
cana-1321	179	4	no	no	DET
cana-1321	179	5	component	component	NOUN
cana-1321	179	6	life	life	NOUN
cana-1321	179	7	distribution	distribution	NOUN
cana-1321	179	8	assumptions	assumption	NOUN
cana-1321	179	9	.	.	PUNCT
cana-1321	180	1	sridhar	sridhar	PROPN
cana-1321	180	2	et	et	PROPN
cana-1321	180	3	al	al	PROPN
cana-1321	180	4	.	.	PROPN
cana-1321	181	1	(	(	PUNCT
cana-1321	181	2	2022	2022	NUM
cana-1321	181	3	)	)	PUNCT
cana-1321	182	1	,	,	PUNCT
cana-1321	182	2	investigated	investigate	VERB
cana-1321	182	3	the	the	DET
cana-1321	182	4	rise	rise	NOUN
cana-1321	182	5	of	of	ADP
cana-1321	182	6	systems	system	NOUN
cana-1321	182	7	and	and	CCONJ
cana-1321	182	8	software	software	NOUN
cana-1321	182	9	modeling	modeling	NOUN
cana-1321	182	10	,	,	PUNCT
cana-1321	182	11	including	include	VERB
cana-1321	182	12	intelligent	intelligent	ADJ
cana-1321	182	13	characters	character	NOUN
cana-1321	182	14	,	,	PUNCT
cana-1321	182	15	hmis	hmis	PROPN
cana-1321	182	16	,	,	PUNCT
cana-1321	182	17	menu	menu	NOUN
cana-1321	182	18	generators	generator	NOUN
cana-1321	182	19	,	,	PUNCT
cana-1321	182	20	uxa	uxa	ADJ
cana-1321	182	21	,	,	PUNCT
cana-1321	182	22	picture	picture	NOUN
cana-1321	182	23	archiving	archiving	NOUN
cana-1321	182	24	,	,	PUNCT
cana-1321	182	25	and	and	CCONJ
cana-1321	182	26	software	software	NOUN
cana-1321	182	27	systems	system	NOUN
cana-1321	182	28	[	[	X
cana-1321	182	29	19	19	NUM
cana-1321	182	30	]	]	PUNCT
cana-1321	182	31	.	.	PUNCT
cana-1321	183	1	this	this	DET
cana-1321	183	2	book	book	NOUN
cana-1321	183	3	helps	help	VERB
cana-1321	183	4	students	student	NOUN
cana-1321	183	5	,	,	PUNCT
cana-1321	183	6	researchers	researcher	NOUN
cana-1321	183	7	,	,	PUNCT
cana-1321	183	8	academics	academic	NOUN
cana-1321	183	9	,	,	PUNCT
cana-1321	183	10	scientists	scientist	NOUN
cana-1321	183	11	,	,	PUNCT
cana-1321	183	12	and	and	CCONJ
cana-1321	183	13	industry	industry	NOUN
cana-1321	183	14	practitioners	practitioner	NOUN
cana-1321	183	15	comprehend	comprehend	VERB
cana-1321	183	16	worldwide	worldwide	ADJ
cana-1321	183	17	trends	trend	NOUN
cana-1321	183	18	,	,	PUNCT
cana-1321	183	19	problems	problem	NOUN
cana-1321	183	20	,	,	PUNCT
cana-1321	183	21	and	and	CCONJ
cana-1321	183	22	practices	practice	NOUN
cana-1321	183	23	.	.	PUNCT
cana-1321	184	1	this	this	DET
cana-1321	184	2	software	software	NOUN
cana-1321	184	3	models	model	NOUN
cana-1321	184	4	,	,	PUNCT
cana-1321	184	5	simulates	simulate	NOUN
cana-1321	184	6	,	,	PUNCT
cana-1321	184	7	and	and	CCONJ
cana-1321	184	8	optimizes	optimize	VERB
cana-1321	184	9	software	software	NOUN
cana-1321	184	10	reliability	reliability	NOUN
cana-1321	184	11	.	.	PUNCT
cana-1321	185	1	provides	provide	VERB
cana-1321	185	2	dependability	dependability	NOUN
cana-1321	185	3	modeling	modeling	NOUN
cana-1321	185	4	and	and	CCONJ
cana-1321	185	5	resource	resource	NOUN
cana-1321	185	6	allocation	allocation	NOUN
cana-1321	185	7	methods	method	NOUN
cana-1321	185	8	,	,	PUNCT
cana-1321	185	9	software	software	NOUN
cana-1321	185	10	,	,	PUNCT
cana-1321	185	11	and	and	CCONJ
cana-1321	185	12	applications	application	NOUN
cana-1321	185	13	.	.	PUNCT
cana-1321	186	1	cost	cost	NOUN
cana-1321	186	2	modeling	modeling	NOUN
cana-1321	186	3	and	and	CCONJ
cana-1321	186	4	optimization	optimization	NOUN
cana-1321	186	5	for	for	ADP
cana-1321	186	6	complicated	complicated	ADJ
cana-1321	186	7	systems	system	NOUN
cana-1321	186	8	.	.	PUNCT
cana-1321	187	1	srinivasa	srinivasa	PROPN
cana-1321	187	2	rao	rao	PROPN
cana-1321	187	3	,	,	PUNCT
cana-1321	187	4	velampudi	velampudi	NOUN
cana-1321	187	5	,	,	PUNCT
cana-1321	187	6	et	et	PROPN
cana-1321	187	7	al	al	PROPN
cana-1321	187	8	.	.	PROPN
cana-1321	187	9	,	,	PUNCT
cana-1321	187	10	(	(	PUNCT
cana-1321	187	11	2022	2022	NUM
cana-1321	187	12	)	)	PUNCT
cana-1321	187	13	,	,	PUNCT
cana-1321	187	14	did	do	VERB
cana-1321	187	15	a	a	DET
cana-1321	187	16	literature	literature	NOUN
cana-1321	187	17	review	review	NOUN
cana-1321	187	18	on	on	ADP
cana-1321	187	19	the	the	DET
cana-1321	187	20	optimization	optimization	NOUN
cana-1321	187	21	of	of	ADP
cana-1321	187	22	system	system	NOUN
cana-1321	187	23	reliability	reliability	NOUN
cana-1321	187	24	using	use	VERB
cana-1321	187	25	redundancy	redundancy	NOUN
cana-1321	187	26	and	and	CCONJ
cana-1321	187	27	the	the	DET
cana-1321	187	28	integration	integration	NOUN
cana-1321	187	29	of	of	ADP
cana-1321	187	30	reliability	reliability	NOUN
cana-1321	187	31	models	model	NOUN
cana-1321	187	32	with	with	ADP
cana-1321	187	33	redundancy	redundancy	NOUN
cana-1321	187	34	[	[	X
cana-1321	187	35	20	20	NUM
cana-1321	187	36	]	]	PUNCT
cana-1321	187	37	.	.	PUNCT
cana-1321	188	1	in	in	ADP
cana-1321	188	2	addition	addition	NOUN
cana-1321	188	3	,	,	PUNCT
cana-1321	188	4	they	they	PRON
cana-1321	188	5	provided	provide	VERB
cana-1321	188	6	suggestions	suggestion	NOUN
cana-1321	188	7	for	for	ADP
cana-1321	188	8	further	further	ADJ
cana-1321	188	9	improvements	improvement	NOUN
cana-1321	188	10	.	.	PUNCT
cana-1321	189	1	srinivasa	srinivasa	PROPN
cana-1321	189	2	rao	rao	PROPN
cana-1321	189	3	,	,	PUNCT
cana-1321	189	4	velampudi	velampudi	NOUN
cana-1321	189	5	,	,	PUNCT
cana-1321	189	6	et	et	PROPN
cana-1321	189	7	al	al	PROPN
cana-1321	189	8	.	.	PROPN
cana-1321	189	9	,	,	PUNCT
cana-1321	189	10	(	(	PUNCT
cana-1321	189	11	2022	2022	NUM
cana-1321	189	12	)	)	PUNCT
cana-1321	189	13	,	,	PUNCT
cana-1321	189	14	conducted	conduct	VERB
cana-1321	189	15	a	a	DET
cana-1321	189	16	study	study	NOUN
cana-1321	189	17	to	to	PART
cana-1321	189	18	analyze	analyze	VERB
cana-1321	189	19	the	the	DET
cana-1321	189	20	effects	effect	NOUN
cana-1321	189	21	of	of	ADP
cana-1321	189	22	incorporating	incorporate	VERB
cana-1321	189	23	more	more	ADV
cana-1321	189	24	hidden	hidden	ADJ
cana-1321	189	25	restrictions	restriction	NOUN
cana-1321	189	26	on	on	ADP
cana-1321	189	27	enhancing	enhance	VERB
cana-1321	189	28	the	the	DET
cana-1321	189	29	reliability	reliability	NOUN
cana-1321	189	30	of	of	ADP
cana-1321	189	31	a	a	DET
cana-1321	189	32	structure	structure	NOUN
cana-1321	189	33	[	[	X
cana-1321	189	34	21	21	NUM
cana-1321	189	35	]	]	PUNCT
cana-1321	189	36	.	.	PUNCT
cana-1321	190	1	the	the	DET
cana-1321	190	2	analytical	analytical	ADJ
cana-1321	190	3	purpose	purpose	NOUN
cana-1321	190	4	considers	consider	VERB
cana-1321	190	5	the	the	DET
cana-1321	190	6	integrated	integrated	ADJ
cana-1321	190	7	redundancy	redundancy	NOUN
cana-1321	190	8	of	of	ADP
cana-1321	190	9	a	a	DET
cana-1321	190	10	well	well	ADV
cana-1321	190	11	-	-	PUNCT
cana-1321	190	12	organized	organize	VERB
cana-1321	190	13	system	system	NOUN
cana-1321	190	14	.	.	PUNCT
cana-1321	191	1	the	the	DET
cana-1321	191	2	lagrangean	lagrangean	ADJ
cana-1321	191	3	multiplier	multipli	ADJ
cana-1321	191	4	approach	approach	NOUN
cana-1321	191	5	provides	provide	VERB
cana-1321	191	6	a	a	DET
cana-1321	191	7	solution	solution	NOUN
cana-1321	191	8	for	for	ADP
cana-1321	191	9	the	the	DET
cana-1321	191	10	reliability	reliability	NOUN
cana-1321	191	11	of	of	ADP
cana-1321	191	12	elements	element	NOUN
cana-1321	191	13	,	,	PUNCT
cana-1321	191	14	phases	phase	NOUN
cana-1321	191	15	,	,	PUNCT
cana-1321	191	16	and	and	CCONJ
cana-1321	191	17	structures	structure	NOUN
cana-1321	191	18	.	.	PUNCT
cana-1321	192	1	an	an	DET
cana-1321	192	2	advanced	advanced	ADJ
cana-1321	192	3	heuristic	heuristic	ADJ
cana-1321	192	4	algorithm	algorithm	NOUN
cana-1321	192	5	is	be	AUX
cana-1321	192	6	used	use	VERB
cana-1321	192	7	to	to	PART
cana-1321	192	8	provide	provide	VERB
cana-1321	192	9	an	an	DET
cana-1321	192	10	integer	integer	NOUN
cana-1321	192	11	solution	solution	NOUN
cana-1321	192	12	that	that	PRON
cana-1321	192	13	is	be	AUX
cana-1321	192	14	close	close	ADJ
cana-1321	192	15	to	to	ADP
cana-1321	192	16	optimal	optimal	ADJ
cana-1321	192	17	,	,	PUNCT
cana-1321	192	18	but	but	CCONJ
cana-1321	192	19	not	not	PART
cana-1321	192	20	a	a	DET
cana-1321	192	21	completely	completely	ADV
cana-1321	192	22	bounded	bound	VERB
cana-1321	192	23	answer	answer	NOUN
cana-1321	192	24	.	.	PUNCT
cana-1321	193	1	this	this	DET
cana-1321	193	2	approach	approach	NOUN
cana-1321	193	3	then	then	ADV
cana-1321	193	4	leads	lead	VERB
cana-1321	193	5	to	to	ADP
cana-1321	193	6	the	the	DET
cana-1321	193	7	implementation	implementation	NOUN
cana-1321	193	8	of	of	ADP
cana-1321	193	9	the	the	DET
cana-1321	193	10	dynamic	dynamic	ADJ
cana-1321	193	11	programming	programming	NOUN
cana-1321	193	12	method	method	NOUN
cana-1321	193	13	.	.	PUNCT
cana-1321	194	1	an	an	DET
cana-1321	194	2	illustrative	illustrative	ADJ
cana-1321	194	3	numerical	numerical	ADJ
cana-1321	194	4	example	example	NOUN
cana-1321	194	5	demonstrates	demonstrate	VERB
cana-1321	194	6	the	the	DET
cana-1321	194	7	acquired	acquire	VERB
cana-1321	194	8	results	result	NOUN
cana-1321	194	9	.	.	PUNCT
cana-1321	195	1	in	in	ADP
cana-1321	195	2	their	their	PRON
cana-1321	195	3	study	study	NOUN
cana-1321	195	4	,	,	PUNCT
cana-1321	195	5	srinivasa	srinivasa	PROPN
cana-1321	195	6	rao	rao	PROPN
cana-1321	195	7	,	,	PUNCT
cana-1321	195	8	velampudi	velampudi	NOUN
cana-1321	195	9	,	,	PUNCT
cana-1321	195	10	et	et	PROPN
cana-1321	195	11	al	al	PROPN
cana-1321	195	12	.	.	PROPN
cana-1321	195	13	,	,	PUNCT
cana-1321	195	14	(	(	PUNCT
cana-1321	195	15	2023	2023	NUM
cana-1321	195	16	)	)	PUNCT
cana-1321	195	17	,	,	PUNCT
cana-1321	195	18	proposed	propose	VERB
cana-1321	195	19	considering	consider	VERB
cana-1321	195	20	the	the	DET
cana-1321	195	21	efficiencies	efficiency	NOUN
cana-1321	195	22	of	of	ADP
cana-1321	195	23	the	the	DET
cana-1321	195	24	factors	factor	NOUN
cana-1321	195	25	and	and	CCONJ
cana-1321	195	26	the	the	DET
cana-1321	195	27	quantity	quantity	NOUN
cana-1321	195	28	of	of	ADP
cana-1321	195	29	factors	factor	NOUN
cana-1321	195	30	in	in	ADP
cana-1321	195	31	each	each	DET
cana-1321	195	32	phase	phase	NOUN
cana-1321	195	33	,	,	PUNCT
cana-1321	195	34	as	as	ADV
cana-1321	195	35	well	well	ADV
cana-1321	195	36	as	as	ADP
cana-1321	195	37	the	the	DET
cana-1321	195	38	various	various	ADJ
cana-1321	195	39	limitations	limitation	NOUN
cana-1321	195	40	,	,	PUNCT
cana-1321	195	41	in	in	ADP
cana-1321	195	42	order	order	NOUN
cana-1321	195	43	to	to	PART
cana-1321	195	44	optimize	optimize	VERB
cana-1321	195	45	the	the	DET
cana-1321	195	46	system	system	NOUN
cana-1321	195	47	's	's	PART
cana-1321	195	48	efficiency	efficiency	NOUN
cana-1321	195	49	[	[	X
cana-1321	195	50	22	22	NUM
cana-1321	195	51	]	]	PUNCT
cana-1321	195	52	.	.	PUNCT
cana-1321	196	1	in	in	ADP
cana-1321	196	2	order	order	NOUN
cana-1321	196	3	to	to	PART
cana-1321	196	4	improve	improve	VERB
cana-1321	196	5	the	the	DET
cana-1321	196	6	efficiency	efficiency	NOUN
cana-1321	196	7	of	of	ADP
cana-1321	196	8	the	the	DET
cana-1321	196	9	system	system	NOUN
cana-1321	196	10	,	,	PUNCT
cana-1321	196	11	the	the	DET
cana-1321	196	12	authors	author	NOUN
cana-1321	196	13	utilized	utilize	VERB
cana-1321	196	14	various	various	ADJ
cana-1321	196	15	techniques	technique	NOUN
cana-1321	196	16	from	from	ADP
cana-1321	196	17	the	the	DET
cana-1321	196	18	lagrangean	lagrangean	ADJ
cana-1321	196	19	approach	approach	NOUN
cana-1321	196	20	to	to	PART
cana-1321	196	21	calculate	calculate	VERB
cana-1321	196	22	the	the	DET
cana-1321	196	23	quantities	quantity	NOUN
cana-1321	196	24	and	and	CCONJ
cana-1321	196	25	communications	communication	NOUN
cana-1321	196	26	on	on	ADP
cana-1321	196	27	applied	apply	VERB
cana-1321	196	28	nonlinear	nonlinear	ADJ
cana-1321	196	29	analysis	analysis	NOUN
cana-1321	196	30	issn	issn	NOUN
cana-1321	196	31	:	:	PUNCT
cana-1321	196	32	1074	1074	NUM
cana-1321	196	33	-	-	PUNCT
cana-1321	196	34	133x	133x	NUM
cana-1321	196	35	vol	vol	NOUN
cana-1321	196	36	31	31	NUM
cana-1321	196	37	no	no	NOUN
cana-1321	196	38	.	.	PUNCT
cana-1321	197	1	7s	7	NOUN
cana-1321	197	2	(	(	PUNCT
cana-1321	197	3	2024	2024	NUM
cana-1321	197	4	)	)	PUNCT
cana-1321	197	5	431	431	NUM
cana-1321	197	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	197	7	effectiveness	effectiveness	NOUN
cana-1321	197	8	of	of	ADP
cana-1321	197	9	the	the	DET
cana-1321	197	10	variables	variable	NOUN
cana-1321	197	11	,	,	PUNCT
cana-1321	197	12	as	as	ADV
cana-1321	197	13	well	well	ADV
cana-1321	197	14	as	as	ADP
cana-1321	197	15	the	the	DET
cana-1321	197	16	reliabilities	reliability	NOUN
cana-1321	197	17	of	of	ADP
cana-1321	197	18	the	the	DET
cana-1321	197	19	phase	phase	NOUN
cana-1321	197	20	,	,	PUNCT
cana-1321	197	21	under	under	ADP
cana-1321	197	22	diverse	diverse	ADJ
cana-1321	197	23	parameters	parameter	NOUN
cana-1321	197	24	such	such	ADJ
cana-1321	197	25	as	as	ADP
cana-1321	197	26	load	load	NOUN
cana-1321	197	27	,	,	PUNCT
cana-1321	197	28	size	size	NOUN
cana-1321	197	29	,	,	PUNCT
cana-1321	197	30	and	and	CCONJ
cana-1321	197	31	cost	cost	NOUN
cana-1321	197	32	.	.	PUNCT
cana-1321	198	1	the	the	DET
cana-1321	198	2	dynamic	dynamic	ADJ
cana-1321	198	3	programming	programming	NOUN
cana-1321	198	4	strategy	strategy	NOUN
cana-1321	198	5	and	and	CCONJ
cana-1321	198	6	simulation	simulation	NOUN
cana-1321	198	7	method	method	NOUN
cana-1321	198	8	have	have	AUX
cana-1321	198	9	been	be	AUX
cana-1321	198	10	modified	modify	VERB
cana-1321	198	11	to	to	PART
cana-1321	198	12	achieve	achieve	VERB
cana-1321	198	13	an	an	DET
cana-1321	198	14	integer	integer	NOUN
cana-1321	198	15	outcome	outcome	NOUN
cana-1321	198	16	and	and	CCONJ
cana-1321	198	17	to	to	PART
cana-1321	198	18	observe	observe	VERB
cana-1321	198	19	the	the	DET
cana-1321	198	20	actual	actual	ADJ
cana-1321	198	21	values	value	NOUN
cana-1321	198	22	.	.	PUNCT
cana-1321	199	1	srinivasa	srinivasa	PROPN
cana-1321	199	2	rao	rao	PROPN
cana-1321	199	3	,	,	PUNCT
cana-1321	199	4	velampudi	velampudi	NOUN
cana-1321	199	5	,	,	PUNCT
cana-1321	199	6	et	et	PROPN
cana-1321	199	7	al	al	PROPN
cana-1321	199	8	.	.	PROPN
cana-1321	199	9	,	,	PUNCT
cana-1321	199	10	(	(	PUNCT
cana-1321	199	11	2024	2024	NUM
cana-1321	199	12	)	)	PUNCT
cana-1321	199	13	,	,	PUNCT
cana-1321	199	14	utilized	utilize	VERB
cana-1321	199	15	the	the	DET
cana-1321	199	16	integrated	integrated	ADJ
cana-1321	199	17	model	model	NOUN
cana-1321	199	18	mentioned	mention	VERB
cana-1321	199	19	above	above	ADV
cana-1321	199	20	to	to	PART
cana-1321	199	21	assess	assess	VERB
cana-1321	199	22	the	the	DET
cana-1321	199	23	reliability	reliability	NOUN
cana-1321	199	24	and	and	CCONJ
cana-1321	199	25	efficiency	efficiency	NOUN
cana-1321	199	26	of	of	ADP
cana-1321	199	27	different	different	ADJ
cana-1321	199	28	components	component	NOUN
cana-1321	199	29	in	in	ADP
cana-1321	199	30	a	a	DET
cana-1321	199	31	muffle	muffle	NOUN
cana-1321	199	32	box	box	NOUN
cana-1321	199	33	furnace	furnace	NOUN
cana-1321	199	34	machine	machine	NOUN
cana-1321	199	35	[	[	X
cana-1321	199	36	23	23	NUM
cana-1321	199	37	]	]	PUNCT
cana-1321	199	38	.	.	PUNCT
cana-1321	200	1	they	they	PRON
cana-1321	200	2	employed	employ	VERB
cana-1321	200	3	lagrangean	lagrangean	ADJ
cana-1321	200	4	methods	method	NOUN
cana-1321	200	5	to	to	PART
cana-1321	200	6	determine	determine	VERB
cana-1321	200	7	the	the	DET
cana-1321	200	8	price	price	NOUN
cana-1321	200	9	-	-	PUNCT
cana-1321	200	10	component	component	NOUN
cana-1321	200	11	,	,	PUNCT
cana-1321	200	12	weight	weight	NOUN
cana-1321	200	13	-	-	PUNCT
cana-1321	200	14	component	component	NOUN
cana-1321	200	15	,	,	PUNCT
cana-1321	200	16	and	and	CCONJ
cana-1321	200	17	volume	volume	NOUN
cana-1321	200	18	-	-	PUNCT
cana-1321	200	19	component	component	NOUN
cana-1321	200	20	of	of	ADP
cana-1321	200	21	various	various	ADJ
cana-1321	200	22	system	system	NOUN
cana-1321	200	23	configurations	configuration	NOUN
cana-1321	200	24	.	.	PUNCT
cana-1321	201	1	the	the	DET
cana-1321	201	2	objective	objective	NOUN
cana-1321	201	3	was	be	AUX
cana-1321	201	4	to	to	PART
cana-1321	201	5	optimize	optimize	VERB
cana-1321	201	6	the	the	DET
cana-1321	201	7	overall	overall	ADJ
cana-1321	201	8	system	system	NOUN
cana-1321	201	9	performance	performance	NOUN
cana-1321	201	10	.	.	PUNCT
cana-1321	202	1	in	in	ADP
cana-1321	202	2	order	order	NOUN
cana-1321	202	3	to	to	PART
cana-1321	202	4	get	get	VERB
cana-1321	202	5	a	a	DET
cana-1321	202	6	realistic	realistic	ADJ
cana-1321	202	7	outcome	outcome	NOUN
cana-1321	202	8	inside	inside	ADP
cana-1321	202	9	a	a	DET
cana-1321	202	10	set	set	NOUN
cana-1321	202	11	of	of	ADP
cana-1321	202	12	whole	whole	ADJ
cana-1321	202	13	numbers	number	NOUN
cana-1321	202	14	,	,	PUNCT
cana-1321	202	15	we	we	PRON
cana-1321	202	16	utilized	utilize	VERB
cana-1321	202	17	the	the	DET
cana-1321	202	18	integer	integer	NOUN
cana-1321	202	19	programming	programming	NOUN
cana-1321	202	20	approach	approach	NOUN
cana-1321	202	21	along	along	ADP
cana-1321	202	22	with	with	ADP
cana-1321	202	23	the	the	DET
cana-1321	202	24	dynamic	dynamic	ADJ
cana-1321	202	25	programming	programming	NOUN
cana-1321	202	26	strategy	strategy	NOUN
cana-1321	202	27	.	.	PUNCT
cana-1321	203	1	therefore	therefore	ADV
cana-1321	203	2	,	,	PUNCT
cana-1321	203	3	the	the	DET
cana-1321	203	4	component	component	NOUN
cana-1321	203	5	reliabilities	reliability	NOUN
cana-1321	203	6	obtained	obtain	VERB
cana-1321	203	7	from	from	ADP
cana-1321	203	8	the	the	DET
cana-1321	203	9	preceding	precede	VERB
cana-1321	203	10	method	method	NOUN
cana-1321	203	11	,	,	PUNCT
cana-1321	203	12	i.e.	i.e.	X
cana-1321	203	13	,	,	PUNCT
cana-1321	203	14	the	the	DET
cana-1321	203	15	lagrangean	lagrangean	ADJ
cana-1321	203	16	approach	approach	NOUN
cana-1321	203	17	,	,	PUNCT
cana-1321	203	18	can	can	AUX
cana-1321	203	19	be	be	AUX
cana-1321	203	20	applied	apply	VERB
cana-1321	203	21	as	as	ADP
cana-1321	203	22	the	the	DET
cana-1321	203	23	input	input	NOUN
cana-1321	203	24	for	for	ADP
cana-1321	203	25	integer	integer	NOUN
cana-1321	203	26	programming	programming	NOUN
cana-1321	203	27	.	.	PUNCT
cana-1321	204	1	this	this	PRON
cana-1321	204	2	allows	allow	VERB
cana-1321	204	3	for	for	ADP
cana-1321	204	4	the	the	DET
cana-1321	204	5	determination	determination	NOUN
cana-1321	204	6	of	of	ADP
cana-1321	204	7	stage	stage	NOUN
cana-1321	204	8	reliabilities	reliability	NOUN
cana-1321	204	9	,	,	PUNCT
cana-1321	204	10	system	system	NOUN
cana-1321	204	11	reliability	reliability	NOUN
cana-1321	204	12	,	,	PUNCT
cana-1321	204	13	stage	stage	NOUN
cana-1321	204	14	cost	cost	NOUN
cana-1321	204	15	,	,	PUNCT
cana-1321	204	16	and	and	CCONJ
cana-1321	204	17	system	system	NOUN
cana-1321	204	18	cost	cost	NOUN
cana-1321	204	19	.	.	PUNCT
cana-1321	205	1	integer	integer	NOUN
cana-1321	205	2	programming	programming	NOUN
cana-1321	205	3	offers	offer	VERB
cana-1321	205	4	flexibility	flexibility	NOUN
cana-1321	205	5	in	in	ADP
cana-1321	205	6	establishing	establish	VERB
cana-1321	205	7	the	the	DET
cana-1321	205	8	number	number	NOUN
cana-1321	205	9	of	of	ADP
cana-1321	205	10	components	component	NOUN
cana-1321	205	11	in	in	ADP
cana-1321	205	12	each	each	DET
cana-1321	205	13	stage	stage	NOUN
cana-1321	205	14	,	,	PUNCT
cana-1321	205	15	along	along	ADP
cana-1321	205	16	with	with	ADP
cana-1321	205	17	stage	stage	NOUN
cana-1321	205	18	reliabilities	reliability	NOUN
cana-1321	205	19	and	and	CCONJ
cana-1321	205	20	system	system	NOUN
cana-1321	205	21	reliability	reliability	NOUN
cana-1321	205	22	,	,	PUNCT
cana-1321	205	23	within	within	ADP
cana-1321	205	24	the	the	DET
cana-1321	205	25	given	give	VERB
cana-1321	205	26	constraints	constraint	NOUN
cana-1321	205	27	.	.	PUNCT
cana-1321	206	1	4.2	4.2	NUM
cana-1321	206	2	procedure	procedure	NOUN
cana-1321	206	3	for	for	ADP
cana-1321	206	4	integer	integer	NOUN
cana-1321	206	5	programming	programming	NOUN
cana-1321	206	6	method	method	NOUN
cana-1321	206	7	integer	integer	NOUN
cana-1321	206	8	programming	programming	NOUN
cana-1321	206	9	(	(	PUNCT
cana-1321	206	10	ip	ip	NOUN
cana-1321	206	11	)	)	PUNCT
cana-1321	206	12	is	be	AUX
cana-1321	206	13	a	a	DET
cana-1321	206	14	mathematical	mathematical	ADJ
cana-1321	206	15	optimization	optimization	NOUN
cana-1321	206	16	technique	technique	NOUN
cana-1321	206	17	used	use	VERB
cana-1321	206	18	to	to	PART
cana-1321	206	19	solve	solve	VERB
cana-1321	206	20	optimization	optimization	NOUN
cana-1321	206	21	problems	problem	NOUN
cana-1321	206	22	where	where	SCONJ
cana-1321	206	23	some	some	PRON
cana-1321	206	24	or	or	CCONJ
cana-1321	206	25	all	all	PRON
cana-1321	206	26	of	of	ADP
cana-1321	206	27	the	the	DET
cana-1321	206	28	decision	decision	NOUN
cana-1321	206	29	variables	variable	NOUN
cana-1321	206	30	are	be	AUX
cana-1321	206	31	required	require	VERB
cana-1321	206	32	to	to	PART
cana-1321	206	33	take	take	VERB
cana-1321	206	34	integer	integer	NOUN
cana-1321	206	35	values	value	NOUN
cana-1321	206	36	.	.	PUNCT
cana-1321	207	1	the	the	DET
cana-1321	207	2	general	general	ADJ
cana-1321	207	3	procedure	procedure	NOUN
cana-1321	207	4	for	for	ADP
cana-1321	207	5	solving	solve	VERB
cana-1321	207	6	an	an	DET
cana-1321	207	7	integer	integer	NOUN
cana-1321	207	8	programming	programming	NOUN
cana-1321	207	9	problem	problem	NOUN
cana-1321	207	10	involves	involve	VERB
cana-1321	207	11	the	the	DET
cana-1321	207	12	following	follow	VERB
cana-1321	207	13	steps	step	NOUN
cana-1321	207	14	:	:	PUNCT
cana-1321	207	15	1	1	X
cana-1321	207	16	.	.	X
cana-1321	207	17	formulate	formulate	VERB
cana-1321	207	18	the	the	DET
cana-1321	207	19	problem	problem	NOUN
cana-1321	207	20	:	:	PUNCT
cana-1321	207	21	clearly	clearly	ADV
cana-1321	207	22	define	define	VERB
cana-1321	207	23	the	the	DET
cana-1321	207	24	objective	objective	ADJ
cana-1321	207	25	function	function	NOUN
cana-1321	207	26	you	you	PRON
cana-1321	207	27	want	want	VERB
cana-1321	207	28	to	to	PART
cana-1321	207	29	optimize	optimize	VERB
cana-1321	207	30	and	and	CCONJ
cana-1321	207	31	the	the	DET
cana-1321	207	32	constraints	constraint	NOUN
cana-1321	207	33	that	that	PRON
cana-1321	207	34	need	need	VERB
cana-1321	207	35	to	to	PART
cana-1321	207	36	be	be	AUX
cana-1321	207	37	satisfied	satisfied	ADJ
cana-1321	207	38	.	.	PUNCT
cana-1321	208	1	identify	identify	VERB
cana-1321	208	2	the	the	DET
cana-1321	208	3	decision	decision	NOUN
cana-1321	208	4	variables	variable	NOUN
cana-1321	208	5	and	and	CCONJ
cana-1321	208	6	their	their	PRON
cana-1321	208	7	potential	potential	ADJ
cana-1321	208	8	integer	integer	NOUN
cana-1321	208	9	values	value	NOUN
cana-1321	208	10	.	.	PUNCT
cana-1321	209	1	2	2	X
cana-1321	209	2	.	.	X
cana-1321	209	3	define	define	VERB
cana-1321	209	4	decision	decision	NOUN
cana-1321	209	5	variables	variable	NOUN
cana-1321	209	6	:	:	PUNCT
cana-1321	209	7	specify	specify	VERB
cana-1321	209	8	the	the	DET
cana-1321	209	9	decision	decision	NOUN
cana-1321	209	10	variables	variable	NOUN
cana-1321	209	11	of	of	ADP
cana-1321	209	12	the	the	DET
cana-1321	209	13	problem	problem	NOUN
cana-1321	209	14	and	and	CCONJ
cana-1321	209	15	their	their	PRON
cana-1321	209	16	integer	integer	NOUN
cana-1321	209	17	restrictions	restriction	NOUN
cana-1321	209	18	.	.	PUNCT
cana-1321	210	1	for	for	ADP
cana-1321	210	2	example	example	NOUN
cana-1321	210	3	,	,	PUNCT
cana-1321	210	4	if	if	SCONJ
cana-1321	210	5	you	you	PRON
cana-1321	210	6	're	be	AUX
cana-1321	210	7	optimizing	optimize	VERB
cana-1321	210	8	the	the	DET
cana-1321	210	9	number	number	NOUN
cana-1321	210	10	of	of	ADP
cana-1321	210	11	items	item	NOUN
cana-1321	210	12	to	to	PART
cana-1321	210	13	be	be	AUX
cana-1321	210	14	produced	produce	VERB
cana-1321	210	15	,	,	PUNCT
cana-1321	210	16	the	the	DET
cana-1321	210	17	decision	decision	NOUN
cana-1321	210	18	variable	variable	NOUN
cana-1321	210	19	might	might	AUX
cana-1321	210	20	be	be	AUX
cana-1321	210	21	the	the	DET
cana-1321	210	22	quantity	quantity	NOUN
cana-1321	210	23	of	of	ADP
cana-1321	210	24	each	each	DET
cana-1321	210	25	item	item	NOUN
cana-1321	210	26	,	,	PUNCT
cana-1321	210	27	which	which	PRON
cana-1321	210	28	needs	need	VERB
cana-1321	210	29	to	to	PART
cana-1321	210	30	be	be	AUX
cana-1321	210	31	an	an	DET
cana-1321	210	32	integer	integer	NOUN
cana-1321	210	33	.	.	PUNCT
cana-1321	211	1	3	3	X
cana-1321	211	2	.	.	X
cana-1321	211	3	formulate	formulate	VERB
cana-1321	211	4	the	the	DET
cana-1321	211	5	objective	objective	ADJ
cana-1321	211	6	function	function	NOUN
cana-1321	211	7	:	:	PUNCT
cana-1321	211	8	write	write	VERB
cana-1321	211	9	down	down	ADP
cana-1321	211	10	the	the	DET
cana-1321	211	11	mathematical	mathematical	ADJ
cana-1321	211	12	expression	expression	NOUN
cana-1321	211	13	that	that	PRON
cana-1321	211	14	represents	represent	VERB
cana-1321	211	15	the	the	DET
cana-1321	211	16	objective	objective	NOUN
cana-1321	211	17	you	you	PRON
cana-1321	211	18	want	want	VERB
cana-1321	211	19	to	to	PART
cana-1321	211	20	maximize	maximize	VERB
cana-1321	211	21	or	or	CCONJ
cana-1321	211	22	minimize	minimize	VERB
cana-1321	211	23	.	.	PUNCT
cana-1321	212	1	this	this	PRON
cana-1321	212	2	could	could	AUX
cana-1321	212	3	involve	involve	VERB
cana-1321	212	4	costs	cost	NOUN
cana-1321	212	5	,	,	PUNCT
cana-1321	212	6	profits	profit	NOUN
cana-1321	212	7	,	,	PUNCT
cana-1321	212	8	or	or	CCONJ
cana-1321	212	9	any	any	DET
cana-1321	212	10	other	other	ADJ
cana-1321	212	11	measurable	measurable	ADJ
cana-1321	212	12	quantity	quantity	NOUN
cana-1321	212	13	.	.	PUNCT
cana-1321	213	1	4	4	X
cana-1321	213	2	.	.	X
cana-1321	213	3	formulate	formulate	ADJ
cana-1321	213	4	constraints	constraint	NOUN
cana-1321	213	5	:	:	PUNCT
cana-1321	213	6	write	write	VERB
cana-1321	213	7	down	down	ADP
cana-1321	213	8	the	the	DET
cana-1321	213	9	mathematical	mathematical	ADJ
cana-1321	213	10	expressions	expression	NOUN
cana-1321	213	11	that	that	PRON
cana-1321	213	12	represent	represent	VERB
cana-1321	213	13	the	the	DET
cana-1321	213	14	constraints	constraint	NOUN
cana-1321	213	15	of	of	ADP
cana-1321	213	16	the	the	DET
cana-1321	213	17	problem	problem	NOUN
cana-1321	213	18	,	,	PUNCT
cana-1321	213	19	such	such	ADJ
cana-1321	213	20	as	as	ADP
cana-1321	213	21	resource	resource	NOUN
cana-1321	213	22	limitations	limitation	NOUN
cana-1321	213	23	,	,	PUNCT
cana-1321	213	24	capacity	capacity	NOUN
cana-1321	213	25	constraints	constraint	NOUN
cana-1321	213	26	,	,	PUNCT
cana-1321	213	27	demand	demand	NOUN
cana-1321	213	28	requirements	requirement	NOUN
cana-1321	213	29	,	,	PUNCT
cana-1321	213	30	etc	etc	X
cana-1321	213	31	.	.	X
cana-1321	213	32	5	5	X
cana-1321	213	33	.	.	X
cana-1321	213	34	choose	choose	VERB
cana-1321	213	35	optimization	optimization	NOUN
cana-1321	213	36	direction	direction	NOUN
cana-1321	213	37	:	:	PUNCT
cana-1321	213	38	decide	decide	VERB
cana-1321	213	39	whether	whether	SCONJ
cana-1321	213	40	you	you	PRON
cana-1321	213	41	want	want	VERB
cana-1321	213	42	to	to	PART
cana-1321	213	43	maximize	maximize	VERB
cana-1321	213	44	or	or	CCONJ
cana-1321	213	45	minimize	minimize	VERB
cana-1321	213	46	the	the	DET
cana-1321	213	47	objective	objective	ADJ
cana-1321	213	48	function	function	NOUN
cana-1321	213	49	.	.	PUNCT
cana-1321	214	1	6	6	X
cana-1321	214	2	.	.	X
cana-1321	214	3	solve	solve	VERB
cana-1321	214	4	the	the	DET
cana-1321	214	5	linear	linear	ADJ
cana-1321	214	6	relaxation	relaxation	NOUN
cana-1321	214	7	:	:	PUNCT
cana-1321	214	8	start	start	VERB
cana-1321	214	9	by	by	ADP
cana-1321	214	10	solving	solve	VERB
cana-1321	214	11	the	the	DET
cana-1321	214	12	relaxed	relaxed	ADJ
cana-1321	214	13	version	version	NOUN
cana-1321	214	14	of	of	ADP
cana-1321	214	15	the	the	DET
cana-1321	214	16	problem	problem	NOUN
cana-1321	214	17	,	,	PUNCT
cana-1321	214	18	where	where	SCONJ
cana-1321	214	19	integer	integer	NOUN
cana-1321	214	20	constraints	constraint	NOUN
cana-1321	214	21	are	be	AUX
cana-1321	214	22	ignored	ignore	VERB
cana-1321	214	23	,	,	PUNCT
cana-1321	214	24	and	and	CCONJ
cana-1321	214	25	the	the	DET
cana-1321	214	26	variables	variable	NOUN
cana-1321	214	27	can	can	AUX
cana-1321	214	28	take	take	VERB
cana-1321	214	29	fractional	fractional	ADJ
cana-1321	214	30	values	value	NOUN
cana-1321	214	31	.	.	PUNCT
cana-1321	215	1	this	this	PRON
cana-1321	215	2	is	be	AUX
cana-1321	215	3	called	call	VERB
cana-1321	215	4	the	the	DET
cana-1321	215	5	linear	linear	ADJ
cana-1321	215	6	programming	programming	NOUN
cana-1321	215	7	(	(	PUNCT
cana-1321	215	8	lp	lp	NOUN
cana-1321	215	9	)	)	PUNCT
cana-1321	215	10	relaxation	relaxation	NOUN
cana-1321	215	11	.	.	PUNCT
cana-1321	216	1	7	7	X
cana-1321	216	2	.	.	X
cana-1321	216	3	obtain	obtain	VERB
cana-1321	216	4	initial	initial	ADJ
cana-1321	216	5	solution	solution	NOUN
cana-1321	216	6	:	:	PUNCT
cana-1321	216	7	the	the	DET
cana-1321	216	8	lp	lp	ADJ
cana-1321	216	9	relaxation	relaxation	NOUN
cana-1321	216	10	might	might	AUX
cana-1321	216	11	provide	provide	VERB
cana-1321	216	12	fractional	fractional	ADJ
cana-1321	216	13	values	value	NOUN
cana-1321	216	14	for	for	ADP
cana-1321	216	15	the	the	DET
cana-1321	216	16	decision	decision	NOUN
cana-1321	216	17	variables	variable	NOUN
cana-1321	216	18	.	.	PUNCT
cana-1321	217	1	round	round	VERB
cana-1321	217	2	these	these	DET
cana-1321	217	3	fractional	fractional	ADJ
cana-1321	217	4	values	value	NOUN
cana-1321	217	5	to	to	ADP
cana-1321	217	6	the	the	DET
cana-1321	217	7	nearest	near	ADJ
cana-1321	217	8	integer	integer	NOUN
cana-1321	217	9	or	or	CCONJ
cana-1321	217	10	apply	apply	VERB
cana-1321	217	11	a	a	DET
cana-1321	217	12	rounding	round	VERB
cana-1321	217	13	strategy	strategy	NOUN
cana-1321	217	14	to	to	PART
cana-1321	217	15	obtain	obtain	VERB
cana-1321	217	16	an	an	DET
cana-1321	217	17	initial	initial	ADJ
cana-1321	217	18	feasible	feasible	ADJ
cana-1321	217	19	solution	solution	NOUN
cana-1321	217	20	for	for	ADP
cana-1321	217	21	the	the	DET
cana-1321	217	22	integer	integer	NOUN
cana-1321	217	23	programming	programming	NOUN
cana-1321	217	24	problem	problem	NOUN
cana-1321	217	25	.	.	PUNCT
cana-1321	218	1	8	8	X
cana-1321	218	2	.	.	X
cana-1321	218	3	check	check	VERB
cana-1321	218	4	feasibility	feasibility	NOUN
cana-1321	218	5	:	:	PUNCT
cana-1321	218	6	check	check	VERB
cana-1321	218	7	if	if	SCONJ
cana-1321	218	8	the	the	DET
cana-1321	218	9	initial	initial	ADJ
cana-1321	218	10	rounded	rounded	ADJ
cana-1321	218	11	solution	solution	NOUN
cana-1321	218	12	satisfies	satisfy	VERB
cana-1321	218	13	all	all	DET
cana-1321	218	14	the	the	DET
cana-1321	218	15	integer	integer	NOUN
cana-1321	218	16	and	and	CCONJ
cana-1321	218	17	constraint	constraint	NOUN
cana-1321	218	18	requirements	requirement	NOUN
cana-1321	218	19	.	.	PUNCT
cana-1321	219	1	if	if	SCONJ
cana-1321	219	2	it	it	PRON
cana-1321	219	3	does	do	VERB
cana-1321	219	4	,	,	PUNCT
cana-1321	219	5	you	you	PRON
cana-1321	219	6	've	have	AUX
cana-1321	219	7	found	find	VERB
cana-1321	219	8	an	an	DET
cana-1321	219	9	integer	integer	NOUN
cana-1321	219	10	solution	solution	NOUN
cana-1321	219	11	,	,	PUNCT
cana-1321	219	12	and	and	CCONJ
cana-1321	219	13	you	you	PRON
cana-1321	219	14	can	can	AUX
cana-1321	219	15	proceed	proceed	VERB
cana-1321	219	16	to	to	PART
cana-1321	219	17	step	step	VERB
cana-1321	219	18	10	10	NUM
cana-1321	219	19	.	.	PUNCT
cana-1321	220	1	if	if	SCONJ
cana-1321	220	2	not	not	PART
cana-1321	220	3	,	,	PUNCT
cana-1321	220	4	proceed	proceed	VERB
cana-1321	220	5	to	to	PART
cana-1321	220	6	step	step	VERB
cana-1321	220	7	9	9	NUM
cana-1321	220	8	.	.	PUNCT
cana-1321	221	1	communications	communication	NOUN
cana-1321	221	2	on	on	ADP
cana-1321	221	3	applied	apply	VERB
cana-1321	221	4	nonlinear	nonlinear	ADJ
cana-1321	221	5	analysis	analysis	NOUN
cana-1321	221	6	issn	issn	NOUN
cana-1321	221	7	:	:	PUNCT
cana-1321	221	8	1074	1074	NUM
cana-1321	221	9	-	-	PUNCT
cana-1321	221	10	133x	133x	NUM
cana-1321	221	11	vol	vol	NOUN
cana-1321	221	12	31	31	NUM
cana-1321	221	13	no	no	NOUN
cana-1321	221	14	.	.	PUNCT
cana-1321	222	1	7s	7	NOUN
cana-1321	222	2	(	(	PUNCT
cana-1321	222	3	2024	2024	NUM
cana-1321	222	4	)	)	PUNCT
cana-1321	222	5	432	432	NUM
cana-1321	222	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	222	7	9	9	X
cana-1321	222	8	.	.	PUNCT
cana-1321	222	9	implement	implement	VERB
cana-1321	222	10	branch	branch	NOUN
cana-1321	222	11	and	and	CCONJ
cana-1321	222	12	bound	bind	VERB
cana-1321	222	13	:	:	PUNCT
cana-1321	222	14	integer	integer	NOUN
cana-1321	222	15	programming	programming	NOUN
cana-1321	222	16	problems	problem	NOUN
cana-1321	222	17	can	can	AUX
cana-1321	222	18	be	be	AUX
cana-1321	222	19	solved	solve	VERB
cana-1321	222	20	using	use	VERB
cana-1321	222	21	the	the	DET
cana-1321	222	22	branch	branch	NOUN
cana-1321	222	23	and	and	CCONJ
cana-1321	222	24	bound	bind	VERB
cana-1321	222	25	method	method	NOUN
cana-1321	222	26	.	.	PUNCT
cana-1321	223	1	this	this	DET
cana-1321	223	2	technique	technique	NOUN
cana-1321	223	3	involves	involve	VERB
cana-1321	223	4	systematically	systematically	ADV
cana-1321	223	5	branching	branch	VERB
cana-1321	223	6	on	on	ADP
cana-1321	223	7	a	a	DET
cana-1321	223	8	variable	variable	NOUN
cana-1321	223	9	,	,	PUNCT
cana-1321	223	10	solving	solve	VERB
cana-1321	223	11	sub	sub	NOUN
cana-1321	223	12	problems	problem	NOUN
cana-1321	223	13	,	,	PUNCT
cana-1321	223	14	and	and	CCONJ
cana-1321	223	15	bounding	bound	VERB
cana-1321	223	16	the	the	DET
cana-1321	223	17	feasible	feasible	ADJ
cana-1321	223	18	solutions	solution	NOUN
cana-1321	223	19	to	to	PART
cana-1321	223	20	prune	prune	VERB
cana-1321	223	21	unproductive	unproductive	ADJ
cana-1321	223	22	branches	branch	NOUN
cana-1321	223	23	.	.	PUNCT
cana-1321	224	1	i.	i.	PROPN
cana-1321	224	2	branching	branching	NOUN
cana-1321	224	3	:	:	PUNCT
cana-1321	224	4	choose	choose	VERB
cana-1321	224	5	a	a	DET
cana-1321	224	6	fractional	fractional	ADJ
cana-1321	224	7	variable	variable	NOUN
cana-1321	224	8	from	from	ADP
cana-1321	224	9	the	the	DET
cana-1321	224	10	current	current	ADJ
cana-1321	224	11	solution	solution	NOUN
cana-1321	224	12	and	and	CCONJ
cana-1321	224	13	create	create	VERB
cana-1321	224	14	two	two	NUM
cana-1321	224	15	sub	sub	NOUN
cana-1321	224	16	problems	problem	NOUN
cana-1321	224	17	by	by	ADP
cana-1321	224	18	fixing	fix	VERB
cana-1321	224	19	the	the	DET
cana-1321	224	20	chosen	choose	VERB
cana-1321	224	21	variable	variable	NOUN
cana-1321	224	22	to	to	ADP
cana-1321	224	23	its	its	PRON
cana-1321	224	24	integer	integer	NOUN
cana-1321	224	25	values	value	NOUN
cana-1321	224	26	,	,	PUNCT
cana-1321	224	27	i.e.	i.e.	X
cana-1321	224	28	,	,	PUNCT
cana-1321	224	29	floor	floor	NOUN
cana-1321	224	30	and	and	CCONJ
cana-1321	224	31	ceiling	ceiling	NOUN
cana-1321	224	32	.	.	PUNCT
cana-1321	225	1	ii	ii	PROPN
cana-1321	225	2	.	.	PUNCT
cana-1321	226	1	bounding	bound	VERB
cana-1321	226	2	:	:	PUNCT
cana-1321	226	3	solve	solve	VERB
cana-1321	226	4	the	the	DET
cana-1321	226	5	relaxed	relaxed	ADJ
cana-1321	226	6	lp	lp	NOUN
cana-1321	226	7	problems	problem	NOUN
cana-1321	226	8	for	for	ADP
cana-1321	226	9	the	the	DET
cana-1321	226	10	sub	sub	NOUN
cana-1321	226	11	problems	problem	NOUN
cana-1321	226	12	.	.	PUNCT
cana-1321	227	1	if	if	SCONJ
cana-1321	227	2	the	the	DET
cana-1321	227	3	optimal	optimal	ADJ
cana-1321	227	4	objective	objective	ADJ
cana-1321	227	5	value	value	NOUN
cana-1321	227	6	of	of	ADP
cana-1321	227	7	a	a	DET
cana-1321	227	8	sub	sub	NOUN
cana-1321	227	9	problem	problem	NOUN
cana-1321	227	10	is	be	AUX
cana-1321	227	11	worse	bad	ADJ
cana-1321	227	12	than	than	ADP
cana-1321	227	13	the	the	DET
cana-1321	227	14	best	good	ADJ
cana-1321	227	15	integer	integer	NOUN
cana-1321	227	16	solution	solution	NOUN
cana-1321	227	17	found	find	VERB
cana-1321	227	18	so	so	ADV
cana-1321	227	19	far	far	ADV
cana-1321	227	20	,	,	PUNCT
cana-1321	227	21	prune	prune	NOUN
cana-1321	227	22	that	that	DET
cana-1321	227	23	branch	branch	NOUN
cana-1321	227	24	.	.	PUNCT
cana-1321	228	1	iii	iii	X
cana-1321	228	2	.	.	PUNCT
cana-1321	228	3	recursive	recursive	ADJ
cana-1321	228	4	process	process	NOUN
cana-1321	228	5	:	:	PUNCT
cana-1321	228	6	recursively	recursively	ADV
cana-1321	228	7	apply	apply	VERB
cana-1321	228	8	the	the	DET
cana-1321	228	9	branching	branching	NOUN
cana-1321	228	10	and	and	CCONJ
cana-1321	228	11	bounding	bound	VERB
cana-1321	228	12	steps	step	NOUN
cana-1321	228	13	on	on	ADP
cana-1321	228	14	the	the	DET
cana-1321	228	15	sub	sub	NOUN
cana-1321	228	16	problems	problem	NOUN
cana-1321	228	17	until	until	SCONJ
cana-1321	228	18	either	either	CCONJ
cana-1321	228	19	a	a	DET
cana-1321	228	20	feasible	feasible	ADJ
cana-1321	228	21	integer	integer	NOUN
cana-1321	228	22	solution	solution	NOUN
cana-1321	228	23	is	be	AUX
cana-1321	228	24	found	find	VERB
cana-1321	228	25	or	or	CCONJ
cana-1321	228	26	the	the	DET
cana-1321	228	27	sub	sub	NOUN
cana-1321	228	28	problems	problem	NOUN
cana-1321	228	29	are	be	AUX
cana-1321	228	30	shown	show	VERB
cana-1321	228	31	to	to	PART
cana-1321	228	32	be	be	AUX
cana-1321	228	33	infeasible	infeasible	ADJ
cana-1321	228	34	or	or	CCONJ
cana-1321	228	35	non	non	ADJ
cana-1321	228	36	-	-	ADJ
cana-1321	228	37	promising	promising	ADJ
cana-1321	228	38	.	.	PUNCT
cana-1321	229	1	10	10	NUM
cana-1321	229	2	.	.	PUNCT
cana-1321	230	1	obtain	obtain	VERB
cana-1321	230	2	integer	integer	NOUN
cana-1321	230	3	solution	solution	NOUN
cana-1321	230	4	:	:	PUNCT
cana-1321	230	5	when	when	SCONJ
cana-1321	230	6	the	the	DET
cana-1321	230	7	branch	branch	NOUN
cana-1321	230	8	and	and	CCONJ
cana-1321	230	9	bound	bind	VERB
cana-1321	230	10	process	process	NOUN
cana-1321	230	11	terminates	terminate	VERB
cana-1321	230	12	,	,	PUNCT
cana-1321	230	13	you	you	PRON
cana-1321	230	14	will	will	AUX
cana-1321	230	15	have	have	VERB
cana-1321	230	16	an	an	DET
cana-1321	230	17	integer	integer	NOUN
cana-1321	230	18	solution	solution	NOUN
cana-1321	230	19	that	that	PRON
cana-1321	230	20	either	either	CCONJ
cana-1321	230	21	satisfies	satisfy	VERB
cana-1321	230	22	the	the	DET
cana-1321	230	23	constraints	constraint	NOUN
cana-1321	230	24	or	or	CCONJ
cana-1321	230	25	proves	prove	VERB
cana-1321	230	26	that	that	SCONJ
cana-1321	230	27	no	no	DET
cana-1321	230	28	feasible	feasible	ADJ
cana-1321	230	29	integer	integer	NOUN
cana-1321	230	30	solution	solution	NOUN
cana-1321	230	31	exists	exist	VERB
cana-1321	230	32	.	.	PUNCT
cana-1321	231	1	our	our	PRON
cana-1321	231	2	plan	plan	NOUN
cana-1321	231	3	for	for	ADP
cana-1321	231	4	solving	solve	VERB
cana-1321	231	5	the	the	DET
cana-1321	231	6	current	current	ADJ
cana-1321	231	7	study	study	NOUN
cana-1321	231	8	problem	problem	NOUN
cana-1321	231	9	is	be	AUX
cana-1321	231	10	to	to	PART
cana-1321	231	11	use	use	VERB
cana-1321	231	12	the	the	DET
cana-1321	231	13	integer	integer	NOUN
cana-1321	231	14	programming	programming	NOUN
cana-1321	231	15	method	method	NOUN
cana-1321	231	16	to	to	PART
cana-1321	231	17	come	come	VERB
cana-1321	231	18	up	up	ADP
cana-1321	231	19	with	with	ADP
cana-1321	231	20	solutions	solution	NOUN
cana-1321	231	21	in	in	ADP
cana-1321	231	22	integer	integer	NOUN
cana-1321	231	23	values	value	NOUN
cana-1321	231	24	.	.	PUNCT
cana-1321	232	1	this	this	PRON
cana-1321	232	2	is	be	AUX
cana-1321	232	3	different	different	ADJ
cana-1321	232	4	from	from	ADP
cana-1321	232	5	the	the	DET
cana-1321	232	6	usual	usual	ADJ
cana-1321	232	7	use	use	NOUN
cana-1321	232	8	of	of	ADP
cana-1321	232	9	the	the	DET
cana-1321	232	10	lagrangean	lagrangean	ADJ
cana-1321	232	11	multiplier	multipli	ADJ
cana-1321	232	12	method	method	NOUN
cana-1321	232	13	,	,	PUNCT
cana-1321	232	14	which	which	PRON
cana-1321	232	15	usually	usually	ADV
cana-1321	232	16	leads	lead	VERB
cana-1321	232	17	to	to	ADP
cana-1321	232	18	solutions	solution	NOUN
cana-1321	232	19	in	in	ADP
cana-1321	232	20	real	real	ADJ
cana-1321	232	21	values	value	NOUN
cana-1321	232	22	.	.	PUNCT
cana-1321	233	1	we	we	PRON
cana-1321	233	2	are	be	AUX
cana-1321	233	3	changing	change	VERB
cana-1321	233	4	the	the	DET
cana-1321	233	5	way	way	NOUN
cana-1321	233	6	we	we	PRON
cana-1321	233	7	do	do	VERB
cana-1321	233	8	things	thing	NOUN
cana-1321	233	9	because	because	SCONJ
cana-1321	233	10	we	we	PRON
cana-1321	233	11	need	need	VERB
cana-1321	233	12	to	to	PART
cana-1321	233	13	get	get	VERB
cana-1321	233	14	better	well	ADJ
cana-1321	233	15	at	at	ADP
cana-1321	233	16	guessing	guess	VERB
cana-1321	233	17	the	the	DET
cana-1321	233	18	right	right	ADJ
cana-1321	233	19	number	number	NOUN
cana-1321	233	20	of	of	ADP
cana-1321	233	21	parts	part	NOUN
cana-1321	233	22	a	a	DET
cana-1321	233	23	system	system	NOUN
cana-1321	233	24	needs	need	VERB
cana-1321	233	25	to	to	PART
cana-1321	233	26	keep	keep	VERB
cana-1321	233	27	its	its	PRON
cana-1321	233	28	resilience	resilience	NOUN
cana-1321	233	29	.	.	PUNCT
cana-1321	234	1	we	we	PRON
cana-1321	234	2	want	want	VERB
cana-1321	234	3	to	to	PART
cana-1321	234	4	use	use	VERB
cana-1321	234	5	the	the	DET
cana-1321	234	6	integer	integer	NOUN
cana-1321	234	7	redundancy	redundancy	NOUN
cana-1321	234	8	and	and	CCONJ
cana-1321	234	9	reliability	reliability	NOUN
cana-1321	234	10	(	(	PUNCT
cana-1321	234	11	irr	irr	PROPN
cana-1321	234	12	)	)	PUNCT
cana-1321	234	13	model	model	NOUN
cana-1321	234	14	to	to	PART
cana-1321	234	15	not	not	PART
cana-1321	234	16	only	only	ADV
cana-1321	234	17	check	check	VERB
cana-1321	234	18	the	the	DET
cana-1321	234	19	dependability	dependability	NOUN
cana-1321	234	20	of	of	ADP
cana-1321	234	21	individual	individual	ADJ
cana-1321	234	22	parts	part	NOUN
cana-1321	234	23	,	,	PUNCT
cana-1321	234	24	but	but	CCONJ
cana-1321	234	25	also	also	ADV
cana-1321	234	26	to	to	PART
cana-1321	234	27	do	do	VERB
cana-1321	234	28	detailed	detailed	ADJ
cana-1321	234	29	checks	check	NOUN
cana-1321	234	30	on	on	ADP
cana-1321	234	31	the	the	DET
cana-1321	234	32	dependability	dependability	NOUN
cana-1321	234	33	of	of	ADP
cana-1321	234	34	each	each	DET
cana-1321	234	35	stage	stage	NOUN
cana-1321	234	36	and	and	CCONJ
cana-1321	234	37	the	the	DET
cana-1321	234	38	dependability	dependability	NOUN
cana-1321	234	39	of	of	ADP
cana-1321	234	40	the	the	DET
cana-1321	234	41	whole	whole	ADJ
cana-1321	234	42	system	system	NOUN
cana-1321	234	43	.	.	PUNCT
cana-1321	235	1	over	over	ADP
cana-1321	235	2	the	the	DET
cana-1321	235	3	past	past	ADJ
cana-1321	235	4	forty	forty	NUM
cana-1321	235	5	years	year	NOUN
cana-1321	235	6	,	,	PUNCT
cana-1321	235	7	there	there	PRON
cana-1321	235	8	have	have	AUX
cana-1321	235	9	been	be	AUX
cana-1321	235	10	considerable	considerable	ADJ
cana-1321	235	11	breakthroughs	breakthrough	NOUN
cana-1321	235	12	in	in	ADP
cana-1321	235	13	the	the	DET
cana-1321	235	14	field	field	NOUN
cana-1321	235	15	of	of	ADP
cana-1321	235	16	integer	integer	NOUN
cana-1321	235	17	programming	programming	NOUN
cana-1321	235	18	,	,	PUNCT
cana-1321	235	19	with	with	ADP
cana-1321	235	20	a	a	DET
cana-1321	235	21	primary	primary	ADJ
cana-1321	235	22	focus	focus	NOUN
cana-1321	235	23	on	on	ADP
cana-1321	235	24	linear	linear	ADJ
cana-1321	235	25	integer	integer	NOUN
cana-1321	235	26	programming	programming	NOUN
cana-1321	235	27	.	.	PUNCT
cana-1321	236	1	nevertheless	nevertheless	ADV
cana-1321	236	2	,	,	PUNCT
cana-1321	236	3	there	there	PRON
cana-1321	236	4	has	have	AUX
cana-1321	236	5	been	be	AUX
cana-1321	236	6	significant	significant	ADJ
cana-1321	236	7	advancement	advancement	NOUN
cana-1321	236	8	in	in	ADP
cana-1321	236	9	the	the	DET
cana-1321	236	10	theoretical	theoretical	ADJ
cana-1321	236	11	and	and	CCONJ
cana-1321	236	12	methodological	methodological	ADJ
cana-1321	236	13	elements	element	NOUN
cana-1321	236	14	of	of	ADP
cana-1321	236	15	nonlinear	nonlinear	ADJ
cana-1321	236	16	integer	integer	NOUN
cana-1321	236	17	programming	programming	NOUN
cana-1321	236	18	in	in	ADP
cana-1321	236	19	recent	recent	ADJ
cana-1321	236	20	years	year	NOUN
cana-1321	236	21	.	.	PUNCT
cana-1321	237	1	the	the	DET
cana-1321	237	2	advancements	advancement	NOUN
cana-1321	237	3	mentioned	mention	VERB
cana-1321	237	4	have	have	AUX
cana-1321	237	5	resulted	result	VERB
cana-1321	237	6	in	in	ADP
cana-1321	237	7	the	the	DET
cana-1321	237	8	utilization	utilization	NOUN
cana-1321	237	9	of	of	ADP
cana-1321	237	10	nonlinear	nonlinear	ADJ
cana-1321	237	11	integer	integer	NOUN
cana-1321	237	12	programming	programming	NOUN
cana-1321	237	13	in	in	ADP
cana-1321	237	14	diverse	diverse	ADJ
cana-1321	237	15	fields	field	NOUN
cana-1321	237	16	including	include	VERB
cana-1321	237	17	scientific	scientific	ADJ
cana-1321	237	18	computing	computing	NOUN
cana-1321	237	19	,	,	PUNCT
cana-1321	237	20	engineering	engineering	NOUN
cana-1321	237	21	,	,	PUNCT
cana-1321	237	22	management	management	NOUN
cana-1321	237	23	science	science	NOUN
cana-1321	237	24	,	,	PUNCT
cana-1321	237	25	and	and	CCONJ
cana-1321	237	26	operations	operation	NOUN
cana-1321	237	27	research	research	NOUN
cana-1321	237	28	.	.	PUNCT
cana-1321	238	1	the	the	DET
cana-1321	238	2	applications	application	NOUN
cana-1321	238	3	of	of	ADP
cana-1321	238	4	this	this	DET
cana-1321	238	5	concept	concept	NOUN
cana-1321	238	6	are	be	AUX
cana-1321	238	7	wide	wide	ADV
cana-1321	238	8	-	-	PUNCT
cana-1321	238	9	ranging	range	VERB
cana-1321	238	10	and	and	CCONJ
cana-1321	238	11	include	include	VERB
cana-1321	238	12	portfolio	portfolio	NOUN
cana-1321	238	13	selection	selection	NOUN
cana-1321	238	14	,	,	PUNCT
cana-1321	238	15	capital	capital	NOUN
cana-1321	238	16	budgeting	budgeting	NOUN
cana-1321	238	17	,	,	PUNCT
cana-1321	238	18	industrial	industrial	ADJ
cana-1321	238	19	planning	planning	NOUN
cana-1321	238	20	,	,	PUNCT
cana-1321	238	21	resource	resource	NOUN
cana-1321	238	22	allocation	allocation	NOUN
cana-1321	238	23	,	,	PUNCT
cana-1321	238	24	computer	computer	NOUN
cana-1321	238	25	networks	network	NOUN
cana-1321	238	26	,	,	PUNCT
cana-1321	238	27	dependability	dependability	NOUN
cana-1321	238	28	networks	network	NOUN
cana-1321	238	29	,	,	PUNCT
cana-1321	238	30	and	and	CCONJ
cana-1321	238	31	chemical	chemical	NOUN
cana-1321	238	32	engineering	engineering	NOUN
cana-1321	238	33	.	.	PUNCT
cana-1321	239	1	nonlinear	nonlinear	ADJ
cana-1321	239	2	programming	programming	NOUN
cana-1321	239	3	is	be	AUX
cana-1321	239	4	a	a	DET
cana-1321	239	5	mathematical	mathematical	ADJ
cana-1321	239	6	technique	technique	NOUN
cana-1321	239	7	used	use	VERB
cana-1321	239	8	to	to	PART
cana-1321	239	9	find	find	VERB
cana-1321	239	10	the	the	DET
cana-1321	239	11	best	good	ADJ
cana-1321	239	12	solutions	solution	NOUN
cana-1321	239	13	for	for	ADP
cana-1321	239	14	different	different	ADJ
cana-1321	239	15	situations	situation	NOUN
cana-1321	239	16	.	.	PUNCT
cana-1321	240	1	in	in	ADP
cana-1321	240	2	a	a	DET
cana-1321	240	3	nonlinear	nonlinear	ADJ
cana-1321	240	4	programming	programming	NOUN
cana-1321	240	5	issue	issue	NOUN
cana-1321	240	6	,	,	PUNCT
cana-1321	240	7	the	the	DET
cana-1321	240	8	objective	objective	ADJ
cana-1321	240	9	function	function	NOUN
cana-1321	240	10	is	be	AUX
cana-1321	240	11	nonlinear	nonlinear	ADJ
cana-1321	240	12	,	,	PUNCT
cana-1321	240	13	and	and	CCONJ
cana-1321	240	14	there	there	PRON
cana-1321	240	15	may	may	AUX
cana-1321	240	16	be	be	AUX
cana-1321	240	17	nonlinear	nonlinear	ADJ
cana-1321	240	18	interactions	interaction	NOUN
cana-1321	240	19	in	in	ADP
cana-1321	240	20	one	one	NUM
cana-1321	240	21	or	or	CCONJ
cana-1321	240	22	more	more	ADJ
cana-1321	240	23	constraints	constraint	NOUN
cana-1321	240	24	,	,	PUNCT
cana-1321	240	25	or	or	CCONJ
cana-1321	240	26	both	both	PRON
cana-1321	240	27	.	.	PUNCT
cana-1321	241	1	an	an	DET
cana-1321	241	2	integer	integer	NOUN
cana-1321	241	3	programming	programming	NOUN
cana-1321	241	4	problem	problem	NOUN
cana-1321	241	5	,	,	PUNCT
cana-1321	241	6	in	in	ADP
cana-1321	241	7	which	which	PRON
cana-1321	241	8	all	all	PRON
cana-1321	241	9	or	or	CCONJ
cana-1321	241	10	some	some	PRON
cana-1321	241	11	of	of	ADP
cana-1321	241	12	the	the	DET
cana-1321	241	13	decision	decision	NOUN
cana-1321	241	14	variables	variable	NOUN
cana-1321	241	15	are	be	AUX
cana-1321	241	16	constrained	constrain	VERB
cana-1321	241	17	to	to	ADP
cana-1321	241	18	nonnegative	nonnegative	ADJ
cana-1321	241	19	integer	integer	NOUN
cana-1321	241	20	values	value	NOUN
cana-1321	241	21	,	,	PUNCT
cana-1321	241	22	is	be	AUX
cana-1321	241	23	referred	refer	VERB
cana-1321	241	24	to	to	ADP
cana-1321	241	25	as	as	ADP
cana-1321	241	26	an	an	DET
cana-1321	241	27	integer	integer	NOUN
cana-1321	241	28	programming	programming	NOUN
cana-1321	241	29	problem	problem	NOUN
cana-1321	241	30	.	.	PUNCT
cana-1321	242	1	this	this	DET
cana-1321	242	2	challenge	challenge	NOUN
cana-1321	242	3	is	be	AUX
cana-1321	242	4	especially	especially	ADV
cana-1321	242	5	important	important	ADJ
cana-1321	242	6	in	in	ADP
cana-1321	242	7	commerce	commerce	NOUN
cana-1321	242	8	and	and	CCONJ
cana-1321	242	9	industry	industry	NOUN
cana-1321	242	10	,	,	PUNCT
cana-1321	242	11	as	as	SCONJ
cana-1321	242	12	fractional	fractional	ADJ
cana-1321	242	13	solutions	solution	NOUN
cana-1321	242	14	are	be	AUX
cana-1321	242	15	not	not	PART
cana-1321	242	16	practicable	practicable	ADJ
cana-1321	242	17	because	because	SCONJ
cana-1321	242	18	the	the	DET
cana-1321	242	19	units	unit	NOUN
cana-1321	242	20	can	can	AUX
cana-1321	242	21	not	not	PART
cana-1321	242	22	be	be	AUX
cana-1321	242	23	divided	divide	VERB
cana-1321	242	24	.	.	PUNCT
cana-1321	243	1	it	it	PRON
cana-1321	243	2	is	be	AUX
cana-1321	243	3	not	not	PART
cana-1321	243	4	reasonable	reasonable	ADJ
cana-1321	243	5	to	to	PART
cana-1321	243	6	discuss	discuss	VERB
cana-1321	243	7	fractions	fraction	NOUN
cana-1321	243	8	of	of	ADP
cana-1321	243	9	individuals	individual	NOUN
cana-1321	243	10	,	,	PUNCT
cana-1321	243	11	such	such	ADJ
cana-1321	243	12	as	as	ADP
cana-1321	243	13	2.3	2.3	NUM
cana-1321	243	14	,	,	PUNCT
cana-1321	243	15	working	work	VERB
cana-1321	243	16	on	on	ADP
cana-1321	243	17	a	a	DET
cana-1321	243	18	project	project	NOUN
cana-1321	243	19	,	,	PUNCT
cana-1321	243	20	or	or	CCONJ
cana-1321	243	21	fractions	fraction	NOUN
cana-1321	243	22	of	of	ADP
cana-1321	243	23	machines	machine	NOUN
cana-1321	243	24	,	,	PUNCT
cana-1321	243	25	such	such	ADJ
cana-1321	243	26	as	as	ADP
cana-1321	243	27	8.7	8.7	NUM
cana-1321	243	28	,	,	PUNCT
cana-1321	243	29	in	in	ADP
cana-1321	243	30	a	a	DET
cana-1321	243	31	workshop	workshop	NOUN
cana-1321	243	32	.	.	PUNCT
cana-1321	244	1	one	one	NUM
cana-1321	244	2	possible	possible	ADJ
cana-1321	244	3	method	method	NOUN
cana-1321	244	4	is	be	AUX
cana-1321	244	5	to	to	PART
cana-1321	244	6	obtain	obtain	VERB
cana-1321	244	7	an	an	DET
cana-1321	244	8	integer	integer	NOUN
cana-1321	244	9	solution	solution	NOUN
cana-1321	244	10	by	by	ADP
cana-1321	244	11	rounding	round	VERB
cana-1321	244	12	off	off	ADP
cana-1321	244	13	the	the	DET
cana-1321	244	14	optimal	optimal	ADJ
cana-1321	244	15	variable	variable	ADJ
cana-1321	244	16	values	value	NOUN
cana-1321	244	17	.	.	PUNCT
cana-1321	245	1	however	however	ADV
cana-1321	245	2	,	,	PUNCT
cana-1321	245	3	this	this	DET
cana-1321	245	4	strategy	strategy	NOUN
cana-1321	245	5	may	may	AUX
cana-1321	245	6	be	be	AUX
cana-1321	245	7	imprecise	imprecise	ADV
cana-1321	245	8	since	since	SCONJ
cana-1321	245	9	there	there	PRON
cana-1321	245	10	is	be	VERB
cana-1321	245	11	no	no	DET
cana-1321	245	12	assurance	assurance	NOUN
cana-1321	245	13	that	that	SCONJ
cana-1321	245	14	the	the	DET
cana-1321	245	15	divergence	divergence	NOUN
cana-1321	245	16	from	from	ADP
cana-1321	245	17	the	the	DET
cana-1321	245	18	exact	exact	ADJ
cana-1321	245	19	integer	integer	NOUN
cana-1321	245	20	answer	answer	NOUN
cana-1321	245	21	will	will	AUX
cana-1321	245	22	not	not	PART
cana-1321	245	23	be	be	AUX
cana-1321	245	24	significant	significant	ADJ
cana-1321	245	25	enough	enough	ADV
cana-1321	245	26	to	to	PART
cana-1321	245	27	preserve	preserve	VERB
cana-1321	245	28	feasibility	feasibility	NOUN
cana-1321	245	29	.	.	PUNCT
cana-1321	246	1	python	python	PROPN
cana-1321	246	2	,	,	PUNCT
cana-1321	246	3	a	a	DET
cana-1321	246	4	computer	computer	NOUN
cana-1321	246	5	language	language	NOUN
cana-1321	246	6	created	create	VERB
cana-1321	246	7	by	by	ADP
cana-1321	246	8	guido	guido	PROPN
cana-1321	246	9	van	van	PROPN
cana-1321	246	10	rossum	rossum	PROPN
cana-1321	246	11	,	,	PUNCT
cana-1321	246	12	was	be	AUX
cana-1321	246	13	initially	initially	ADV
cana-1321	246	14	released	release	VERB
cana-1321	246	15	on	on	ADP
cana-1321	246	16	february	february	PROPN
cana-1321	246	17	20	20	NUM
cana-1321	246	18	,	,	PUNCT
cana-1321	246	19	1991	1991	NUM
cana-1321	246	20	.	.	PUNCT
cana-1321	247	1	python	python	PROPN
cana-1321	247	2	is	be	AUX
cana-1321	247	3	a	a	DET
cana-1321	247	4	computer	computer	NOUN
cana-1321	247	5	language	language	NOUN
cana-1321	247	6	named	name	VERB
cana-1321	247	7	after	after	ADP
cana-1321	247	8	a	a	DET
cana-1321	247	9	bbc	bbc	PROPN
cana-1321	247	10	sketch	sketch	PROPN
cana-1321	247	11	show	show	PROPN
cana-1321	247	12	called	call	VERB
cana-1321	247	13	monty	monty	PROPN
cana-1321	247	14	python	python	PROPN
cana-1321	247	15	's	's	PART
cana-1321	247	16	communications	communication	NOUN
cana-1321	247	17	on	on	ADP
cana-1321	247	18	applied	apply	VERB
cana-1321	247	19	nonlinear	nonlinear	ADJ
cana-1321	247	20	analysis	analysis	NOUN
cana-1321	247	21	issn	issn	NOUN
cana-1321	247	22	:	:	PUNCT
cana-1321	247	23	1074	1074	NUM
cana-1321	247	24	-	-	PUNCT
cana-1321	247	25	133x	133x	NUM
cana-1321	247	26	vol	vol	NOUN
cana-1321	247	27	31	31	NUM
cana-1321	247	28	no	no	NOUN
cana-1321	247	29	.	.	PUNCT
cana-1321	248	1	7s	7	NOUN
cana-1321	248	2	(	(	PUNCT
cana-1321	248	3	2024	2024	NUM
cana-1321	248	4	)	)	PUNCT
cana-1321	248	5	433	433	NUM
cana-1321	248	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	248	7	flying	fly	VERB
cana-1321	248	8	circus	circus	NOUN
cana-1321	248	9	.	.	PUNCT
cana-1321	249	1	the	the	DET
cana-1321	249	2	python	python	NOUN
cana-1321	249	3	is	be	AUX
cana-1321	249	4	a	a	DET
cana-1321	249	5	sizable	sizable	ADJ
cana-1321	249	6	serpent	serpent	NOUN
cana-1321	249	7	.	.	PUNCT
cana-1321	250	1	python	python	NOUN
cana-1321	250	2	is	be	AUX
cana-1321	250	3	a	a	DET
cana-1321	250	4	user	user	NOUN
cana-1321	250	5	-	-	PUNCT
cana-1321	250	6	friendly	friendly	ADJ
cana-1321	250	7	and	and	CCONJ
cana-1321	250	8	high	high	ADJ
cana-1321	250	9	-	-	PUNCT
cana-1321	250	10	level	level	NOUN
cana-1321	250	11	programming	programming	NOUN
cana-1321	250	12	language	language	NOUN
cana-1321	250	13	.	.	PUNCT
cana-1321	251	1	the	the	DET
cana-1321	251	2	design	design	NOUN
cana-1321	251	3	theory	theory	NOUN
cana-1321	251	4	emphasizes	emphasize	VERB
cana-1321	251	5	the	the	DET
cana-1321	251	6	importance	importance	NOUN
cana-1321	251	7	of	of	ADP
cana-1321	251	8	code	code	NOUN
cana-1321	251	9	readability	readability	NOUN
cana-1321	251	10	through	through	ADP
cana-1321	251	11	the	the	DET
cana-1321	251	12	strategic	strategic	ADJ
cana-1321	251	13	use	use	NOUN
cana-1321	251	14	of	of	ADP
cana-1321	251	15	ample	ample	ADJ
cana-1321	251	16	spacing	spacing	NOUN
cana-1321	251	17	between	between	ADP
cana-1321	251	18	lines	line	NOUN
cana-1321	251	19	.	.	PUNCT
cana-1321	252	1	python	python	PROPN
cana-1321	252	2	is	be	AUX
cana-1321	252	3	a	a	DET
cana-1321	252	4	versatile	versatile	ADJ
cana-1321	252	5	tool	tool	NOUN
cana-1321	252	6	specifically	specifically	ADV
cana-1321	252	7	created	create	VERB
cana-1321	252	8	to	to	PART
cana-1321	252	9	streamline	streamline	VERB
cana-1321	252	10	the	the	DET
cana-1321	252	11	creation	creation	NOUN
cana-1321	252	12	and	and	CCONJ
cana-1321	252	13	solving	solving	NOUN
cana-1321	252	14	of	of	ADP
cana-1321	252	15	linear	linear	ADJ
cana-1321	252	16	,	,	PUNCT
cana-1321	252	17	nonlinear	nonlinear	ADJ
cana-1321	252	18	,	,	PUNCT
cana-1321	252	19	and	and	CCONJ
cana-1321	252	20	integer	integer	NOUN
cana-1321	252	21	optimization	optimization	NOUN
cana-1321	252	22	models	model	NOUN
cana-1321	252	23	.	.	PUNCT
cana-1321	253	1	the	the	DET
cana-1321	253	2	package	package	NOUN
cana-1321	253	3	provides	provide	VERB
cana-1321	253	4	a	a	DET
cana-1321	253	5	complete	complete	ADJ
cana-1321	253	6	and	and	CCONJ
cana-1321	253	7	integrated	integrated	ADJ
cana-1321	253	8	solution	solution	NOUN
cana-1321	253	9	,	,	PUNCT
cana-1321	253	10	including	include	VERB
cana-1321	253	11	a	a	DET
cana-1321	253	12	powerful	powerful	ADJ
cana-1321	253	13	language	language	NOUN
cana-1321	253	14	for	for	ADP
cana-1321	253	15	describing	describe	VERB
cana-1321	253	16	optimization	optimization	NOUN
cana-1321	253	17	models	model	NOUN
cana-1321	253	18	,	,	PUNCT
cana-1321	253	19	a	a	DET
cana-1321	253	20	comprehensive	comprehensive	ADJ
cana-1321	253	21	environment	environment	NOUN
cana-1321	253	22	for	for	ADP
cana-1321	253	23	creating	create	VERB
cana-1321	253	24	and	and	CCONJ
cana-1321	253	25	updating	update	VERB
cana-1321	253	26	problems	problem	NOUN
cana-1321	253	27	,	,	PUNCT
cana-1321	253	28	and	and	CCONJ
cana-1321	253	29	a	a	DET
cana-1321	253	30	set	set	NOUN
cana-1321	253	31	of	of	ADP
cana-1321	253	32	efficient	efficient	ADJ
cana-1321	253	33	built	build	VERB
cana-1321	253	34	-	-	PUNCT
cana-1321	253	35	in	in	ADP
cana-1321	253	36	solvers	solver	NOUN
cana-1321	253	37	.	.	PUNCT
cana-1321	254	1	5	5	NUM
cana-1321	254	2	results	result	VERB
cana-1321	254	3	the	the	DET
cana-1321	254	4	application	application	NOUN
cana-1321	254	5	of	of	ADP
cana-1321	254	6	the	the	DET
cana-1321	254	7	lagrangean	lagrangean	ADJ
cana-1321	254	8	multiplier	multipli	ADJ
cana-1321	254	9	approach	approach	NOUN
cana-1321	254	10	has	have	AUX
cana-1321	254	11	offered	offer	VERB
cana-1321	254	12	an	an	DET
cana-1321	254	13	authentic	authentic	ADJ
cana-1321	254	14	numerical	numerical	ADJ
cana-1321	254	15	solution	solution	NOUN
cana-1321	254	16	for	for	ADP
cana-1321	254	17	the	the	DET
cana-1321	254	18	analyzed	analyze	VERB
cana-1321	254	19	mathematical	mathematical	ADJ
cana-1321	254	20	models	model	NOUN
cana-1321	254	21	of	of	ADP
cana-1321	254	22	integrated	integrate	VERB
cana-1321	254	23	redundant	redundant	ADJ
cana-1321	254	24	reliability	reliability	NOUN
cana-1321	254	25	systems	system	NOUN
cana-1321	254	26	,	,	PUNCT
cana-1321	254	27	fulfilling	fulfil	VERB
cana-1321	254	28	the	the	DET
cana-1321	254	29	need	need	NOUN
cana-1321	254	30	for	for	ADP
cana-1321	254	31	a	a	DET
cana-1321	254	32	non	non	ADJ
cana-1321	254	33	-	-	ADJ
cana-1321	254	34	decimal	decimal	ADJ
cana-1321	254	35	answer	answer	NOUN
cana-1321	254	36	.	.	PUNCT
cana-1321	255	1	using	use	VERB
cana-1321	255	2	an	an	DET
cana-1321	255	3	integer	integer	NOUN
cana-1321	255	4	programming	programming	NOUN
cana-1321	255	5	approach	approach	NOUN
cana-1321	255	6	,	,	PUNCT
cana-1321	255	7	the	the	DET
cana-1321	255	8	researcher	researcher	NOUN
cana-1321	255	9	calculated	calculate	VERB
cana-1321	255	10	the	the	DET
cana-1321	255	11	revised	revise	VERB
cana-1321	255	12	phase	phase	NOUN
cana-1321	255	13	reliability	reliability	NOUN
cana-1321	255	14	(	(	PUNCT
cana-1321	255	15	)	)	PUNCT
cana-1321	255	16	,	,	PUNCT
cana-1321	255	17	resulting	result	VERB
cana-1321	255	18	in	in	ADP
cana-1321	255	19	stage	stage	NOUN
cana-1321	255	20	reliability	reliability	NOUN
cana-1321	255	21	values	value	NOUN
cana-1321	255	22	of	of	ADP
cana-1321	255	23	0.8424	0.8424	NUM
cana-1321	255	24	,	,	PUNCT
cana-1321	255	25	0.8243	0.8243	NUM
cana-1321	255	26	,	,	PUNCT
cana-1321	255	27	and	and	CCONJ
cana-1321	255	28	0.8353	0.8353	NUM
cana-1321	255	29	.	.	PUNCT
cana-1321	256	1	the	the	DET
cana-1321	256	2	research	research	NOUN
cana-1321	256	3	utilizes	utilize	VERB
cana-1321	256	4	the	the	DET
cana-1321	256	5	integer	integer	NOUN
cana-1321	256	6	programming	programming	NOUN
cana-1321	256	7	technique	technique	NOUN
cana-1321	256	8	to	to	PART
cana-1321	256	9	provide	provide	VERB
cana-1321	256	10	the	the	DET
cana-1321	256	11	results	result	NOUN
cana-1321	256	12	for	for	ADP
cana-1321	256	13	the	the	DET
cana-1321	256	14	specified	specify	VERB
cana-1321	256	15	mathematical	mathematical	ADJ
cana-1321	256	16	function	function	NOUN
cana-1321	256	17	in	in	ADP
cana-1321	256	18	tables	table	NOUN
cana-1321	256	19	6	6	NUM
cana-1321	256	20	,	,	PUNCT
cana-1321	256	21	7	7	NUM
cana-1321	256	22	,	,	PUNCT
cana-1321	256	23	and	and	CCONJ
cana-1321	256	24	8	8	NUM
cana-1321	256	25	consecutively	consecutively	ADV
cana-1321	256	26	,	,	PUNCT
cana-1321	256	27	making	make	VERB
cana-1321	256	28	it	it	PRON
cana-1321	256	29	easier	easy	ADJ
cana-1321	256	30	to	to	PART
cana-1321	256	31	draw	draw	VERB
cana-1321	256	32	important	important	ADJ
cana-1321	256	33	conclusions	conclusion	NOUN
cana-1321	256	34	.	.	PUNCT
cana-1321	257	1	5.2	5.2	NUM
cana-1321	257	2	in	in	ADP
cana-1321	257	3	-	-	PUNCT
cana-1321	257	4	depth	depth	NOUN
cana-1321	257	5	analysis	analysis	NOUN
cana-1321	257	6	of	of	ADP
cana-1321	257	7	constraints	constraint	NOUN
cana-1321	257	8	in	in	ADP
cana-1321	257	9	price	price	NOUN
cana-1321	257	10	,	,	PUNCT
cana-1321	257	11	weight	weight	NOUN
cana-1321	257	12	,	,	PUNCT
cana-1321	257	13	and	and	CCONJ
cana-1321	257	14	volume	volume	NOUN
cana-1321	257	15	components	component	NOUN
cana-1321	257	16	:	:	PUNCT
cana-1321	257	17	a	a	DET
cana-1321	257	18	comprehensive	comprehensive	ADJ
cana-1321	257	19	examination	examination	NOUN
cana-1321	257	20	through	through	ADP
cana-1321	257	21	integer	integer	NOUN
cana-1321	257	22	programming	programming	NOUN
cana-1321	257	23	method	method	NOUN
cana-1321	257	24	exploring	explore	VERB
cana-1321	257	25	efficiency	efficiency	NOUN
cana-1321	257	26	design	design	NOUN
cana-1321	257	27	:	:	PUNCT
cana-1321	257	28	table	table	NOUN
cana-1321	257	29	6	6	NUM
cana-1321	257	30	provides	provide	VERB
cana-1321	257	31	in	in	ADP
cana-1321	257	32	-	-	PUNCT
cana-1321	257	33	depth	depth	NOUN
cana-1321	257	34	information	information	NOUN
cana-1321	257	35	on	on	ADP
cana-1321	257	36	the	the	DET
cana-1321	257	37	interplay	interplay	NOUN
cana-1321	257	38	between	between	ADP
cana-1321	257	39	price	price	NOUN
cana-1321	257	40	,	,	PUNCT
cana-1321	257	41	weight	weight	NOUN
cana-1321	257	42	,	,	PUNCT
cana-1321	257	43	and	and	CCONJ
cana-1321	257	44	volume	volume	NOUN
cana-1321	257	45	components	component	NOUN
cana-1321	257	46	table	table	VERB
cana-1321	257	47	6	6	NUM
cana-1321	257	48	.	.	PUNCT
cana-1321	258	1	constraint	constraint	NOUN
cana-1321	258	2	analysis	analysis	NOUN
cana-1321	258	3	of	of	ADP
cana-1321	258	4	efficiency	efficiency	NOUN
cana-1321	258	5	design	design	NOUN
cana-1321	258	6	for	for	ADP
cana-1321	258	7	price	price	NOUN
cana-1321	258	8	,	,	PUNCT
cana-1321	258	9	weight	weight	NOUN
cana-1321	258	10	,	,	PUNCT
cana-1321	258	11	and	and	CCONJ
cana-1321	258	12	volume	volume	NOUN
cana-1321	258	13	components	component	NOUN
cana-1321	258	14	:	:	PUNCT
cana-1321	258	15	integer	integer	NOUN
cana-1321	258	16	programming	programming	NOUN
cana-1321	258	17	method	method	NOUN
cana-1321	258	18	illustrated	illustrate	VERB
cana-1321	258	19	in	in	ADP
cana-1321	258	20	the	the	DET
cana-1321	258	21	table	table	NOUN
cana-1321	258	22	.	.	PUNCT
cana-1321	259	1	phase	phase	NOUN
cana-1321	259	2	.	.	PUNCT
cana-1321	259	3	.	.	PUNCT
cana-1321	260	1	01	01	NUM
cana-1321	261	1	0.9345	0.9345	NUM
cana-1321	261	2	0.7626	0.7626	NUM
cana-1321	261	3	4	4	NUM
cana-1321	261	4	37	37	NUM
cana-1321	261	5	148	148	NUM
cana-1321	261	6	39	39	NUM
cana-1321	261	7	156	156	NUM
cana-1321	261	8	37	37	NUM
cana-1321	261	9	148	148	NUM
cana-1321	261	10	02	02	NUM
cana-1321	261	11	0.9482	0.9482	NUM
cana-1321	261	12	0.8083	0.8083	NUM
cana-1321	261	13	4	4	NUM
cana-1321	261	14	44	44	NUM
cana-1321	261	15	176	176	NUM
cana-1321	261	16	46	46	NUM
cana-1321	261	17	184	184	NUM
cana-1321	261	18	44	44	NUM
cana-1321	261	19	176	176	NUM
cana-1321	261	20	03	03	NUM
cana-1321	261	21	0.9555	0.9555	NUM
cana-1321	261	22	0.7610	0.7610	NUM
cana-1321	261	23	6	6	NUM
cana-1321	261	24	50	50	NUM
cana-1321	261	25	300	300	NUM
cana-1321	261	26	56	56	NUM
cana-1321	261	27	336	336	NUM
cana-1321	261	28	50	50	NUM
cana-1321	261	29	300	300	NUM
cana-1321	261	30	1426	1426	NUM
cana-1321	261	31	676	676	NUM
cana-1321	261	32	624	624	NUM
cana-1321	261	33	(	(	PUNCT
cana-1321	261	34	0.9621	0.9621	NUM
cana-1321	261	35	5.3	5.3	NUM
cana-1321	261	36	evaluating	evaluate	VERB
cana-1321	261	37	optimization	optimization	NOUN
cana-1321	261	38	strategies	strategy	NOUN
cana-1321	261	39	in	in	ADP
cana-1321	261	40	integrated	integrate	VERB
cana-1321	261	41	redundant	redundant	ADJ
cana-1321	261	42	reliability	reliability	NOUN
cana-1321	261	43	parallel	parallel	NOUN
cana-1321	261	44	-	-	PUNCT
cana-1321	261	45	series	series	NOUN
cana-1321	261	46	systems	system	NOUN
cana-1321	261	47	:	:	PUNCT
cana-1321	261	48	a	a	DET
cana-1321	261	49	comparative	comparative	ADJ
cana-1321	261	50	analysis	analysis	NOUN
cana-1321	261	51	of	of	ADP
cana-1321	261	52	lagrangean	lagrangean	ADJ
cana-1321	261	53	multiplier	multipli	ADJ
cana-1321	261	54	method	method	NOUN
cana-1321	261	55	(	(	PUNCT
cana-1321	261	56	lmm	lmm	PROPN
cana-1321	261	57	)	)	PUNCT
cana-1321	261	58	with	with	ADP
cana-1321	261	59	rounding	round	VERB
cana-1321	261	60	-	-	PUNCT
cana-1321	261	61	off	off	ADP
cana-1321	261	62	and	and	CCONJ
cana-1321	261	63	integer	integer	NOUN
cana-1321	261	64	programming	programming	NOUN
cana-1321	261	65	approach	approach	NOUN
cana-1321	261	66	for	for	ADP
cana-1321	261	67	price	price	NOUN
cana-1321	261	68	components	component	NOUN
cana-1321	261	69	analytical	analytical	ADJ
cana-1321	261	70	comparison	comparison	NOUN
cana-1321	261	71	:	:	PUNCT
cana-1321	261	72	examining	examine	VERB
cana-1321	261	73	price	price	NOUN
cana-1321	261	74	-	-	PUNCT
cana-1321	261	75	related	relate	VERB
cana-1321	261	76	efficiency	efficiency	NOUN
cana-1321	261	77	design	design	NOUN
cana-1321	261	78	using	use	VERB
cana-1321	261	79	lagrangean	lagrangean	ADJ
cana-1321	261	80	multiplier	multipli	ADJ
cana-1321	261	81	method	method	NOUN
cana-1321	261	82	with	with	ADP
cana-1321	261	83	rounding	round	VERB
cana-1321	261	84	-	-	PUNCT
cana-1321	261	85	off	off	ADP
cana-1321	261	86	and	and	CCONJ
cana-1321	261	87	integer	integer	NOUN
cana-1321	261	88	programming	programming	NOUN
cana-1321	261	89	approach	approach	NOUN
cana-1321	261	90	–	–	PUNCT
cana-1321	261	91	findings	finding	NOUN
cana-1321	261	92	from	from	ADP
cana-1321	261	93	table	table	NOUN
cana-1321	261	94	7	7	NUM
cana-1321	261	95	.	.	PUNCT
cana-1321	261	96	table	table	NOUN
cana-1321	261	97	7	7	NUM
cana-1321	261	98	.	.	PUNCT
cana-1321	262	1	correlating	correlate	VERB
cana-1321	262	2	results	result	NOUN
cana-1321	262	3	:	:	PUNCT
cana-1321	262	4	comparative	comparative	ADJ
cana-1321	262	5	analysis	analysis	NOUN
cana-1321	262	6	of	of	ADP
cana-1321	262	7	lagrangean	lagrangean	ADJ
cana-1321	262	8	multiplier	multipli	ADJ
cana-1321	262	9	method	method	NOUN
cana-1321	262	10	with	with	ADP
cana-1321	262	11	rounding	round	VERB
cana-1321	262	12	-	-	PUNCT
cana-1321	262	13	off	off	ADP
cana-1321	262	14	and	and	CCONJ
cana-1321	262	15	integer	integer	NOUN
cana-1321	262	16	programming	programming	NOUN
cana-1321	262	17	method	method	NOUN
cana-1321	262	18	approaches	approach	NOUN
cana-1321	262	19	for	for	ADP
cana-1321	262	20	price	price	NOUN
cana-1321	262	21	-	-	PUNCT
cana-1321	262	22	component	component	NOUN
cana-1321	262	23	lmm	lmm	PROPN
cana-1321	262	24	with	with	ADP
cana-1321	262	25	rounding	round	VERB
cana-1321	262	26	off	off	ADP
cana-1321	262	27	integer	integer	NOUN
cana-1321	262	28	programming	programming	NOUN
cana-1321	262	29	method	method	NOUN
cana-1321	262	30	phase	phase	NOUN
cana-1321	262	31	01	01	NUM
cana-1321	262	32	4	4	NUM
cana-1321	262	33	0.9141	0.9141	NUM
cana-1321	262	34	0.7177	0.7177	NUM
cana-1321	262	35	38	38	NUM
cana-1321	262	36	152	152	NUM
cana-1321	262	37	0.9345	0.9345	NUM
cana-1321	262	38	0.7626	0.7626	NUM
cana-1321	262	39	37	37	NUM
cana-1321	262	40	148	148	NUM
cana-1321	262	41	02	02	NUM
cana-1321	262	42	4	4	NUM
cana-1321	262	43	0.9245	0.9245	NUM
cana-1321	262	44	0.7098	0.7098	NUM
cana-1321	262	45	45	45	NUM
cana-1321	262	46	180	180	NUM
cana-1321	262	47	0.9482	0.9482	NUM
cana-1321	262	48	0.8083	0.8083	NUM
cana-1321	262	49	44	44	NUM
cana-1321	262	50	176	176	NUM
cana-1321	262	51	03	03	NUM
cana-1321	262	52	6	6	NUM
cana-1321	262	53	0.9247	0.9247	NUM
cana-1321	262	54	0.6461	0.6461	NUM
cana-1321	262	55	52	52	NUM
cana-1321	262	56	312	312	NUM
cana-1321	262	57	0.9555	0.9555	NUM
cana-1321	262	58	0.7610	0.7610	NUM
cana-1321	262	59	50	50	NUM
cana-1321	262	60	300	300	NUM
cana-1321	262	61	final	final	ADJ
cana-1321	262	62	price	price	NOUN
cana-1321	262	63	-	-	PUNCT
cana-1321	262	64	component	component	NOUN
cana-1321	262	65	1508	1508	NUM
cana-1321	262	66	1426	1426	NUM
cana-1321	262	67	communications	communication	NOUN
cana-1321	262	68	on	on	ADP
cana-1321	262	69	applied	apply	VERB
cana-1321	262	70	nonlinear	nonlinear	ADJ
cana-1321	262	71	analysis	analysis	NOUN
cana-1321	262	72	issn	issn	NOUN
cana-1321	262	73	:	:	PUNCT
cana-1321	262	74	1074	1074	NUM
cana-1321	262	75	-	-	PUNCT
cana-1321	262	76	133x	133x	NUM
cana-1321	262	77	vol	vol	NOUN
cana-1321	262	78	31	31	NUM
cana-1321	262	79	no	no	NOUN
cana-1321	262	80	.	.	PUNCT
cana-1321	263	1	7s	7	NOUN
cana-1321	263	2	(	(	PUNCT
cana-1321	263	3	2024	2024	NUM
cana-1321	263	4	)	)	PUNCT
cana-1321	263	5	434	434	NUM
cana-1321	263	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	263	7	(	(	PUNCT
cana-1321	263	8	lmmwr	lmmwr	NOUN
cana-1321	263	9	0.9392	0.9392	NUM
cana-1321	263	10	ipm	ipm	NOUN
cana-1321	263	11	0.9621	0.9621	NUM
cana-1321	263	12	5.4	5.4	NUM
cana-1321	263	13	evaluating	evaluate	VERB
cana-1321	263	14	optimization	optimization	NOUN
cana-1321	263	15	strategies	strategy	NOUN
cana-1321	263	16	in	in	ADP
cana-1321	263	17	integrated	integrate	VERB
cana-1321	263	18	redundant	redundant	ADJ
cana-1321	263	19	reliability	reliability	NOUN
cana-1321	263	20	parallel	parallel	NOUN
cana-1321	263	21	-	-	PUNCT
cana-1321	263	22	series	series	NOUN
cana-1321	263	23	systems	system	NOUN
cana-1321	263	24	:	:	PUNCT
cana-1321	263	25	a	a	DET
cana-1321	263	26	comparative	comparative	ADJ
cana-1321	263	27	analysis	analysis	NOUN
cana-1321	263	28	of	of	ADP
cana-1321	263	29	lagrangean	lagrangean	ADJ
cana-1321	263	30	multiplier	multipli	ADJ
cana-1321	263	31	method	method	NOUN
cana-1321	263	32	(	(	PUNCT
cana-1321	263	33	lmm	lmm	PROPN
cana-1321	263	34	)	)	PUNCT
cana-1321	263	35	with	with	ADP
cana-1321	263	36	rounding	round	VERB
cana-1321	263	37	-	-	PUNCT
cana-1321	263	38	off	off	ADP
cana-1321	263	39	and	and	CCONJ
cana-1321	263	40	integer	integer	NOUN
cana-1321	263	41	programming	programming	NOUN
cana-1321	263	42	approach	approach	NOUN
cana-1321	263	43	for	for	ADP
cana-1321	263	44	load	load	NOUN
cana-1321	263	45	components	component	NOUN
cana-1321	263	46	analytical	analytical	ADJ
cana-1321	263	47	comparison	comparison	NOUN
cana-1321	263	48	:	:	PUNCT
cana-1321	263	49	examining	examine	VERB
cana-1321	263	50	load	load	NOUN
cana-1321	263	51	-	-	PUNCT
cana-1321	263	52	related	relate	VERB
cana-1321	263	53	efficiency	efficiency	NOUN
cana-1321	263	54	design	design	NOUN
cana-1321	263	55	using	use	VERB
cana-1321	263	56	lagrangean	lagrangean	ADJ
cana-1321	263	57	multiplier	multipli	ADJ
cana-1321	263	58	method	method	NOUN
cana-1321	263	59	with	with	ADP
cana-1321	263	60	rounding	round	VERB
cana-1321	263	61	-	-	PUNCT
cana-1321	263	62	off	off	ADP
cana-1321	263	63	and	and	CCONJ
cana-1321	263	64	integer	integer	NOUN
cana-1321	263	65	programming	programming	NOUN
cana-1321	263	66	approach	approach	NOUN
cana-1321	263	67	–	–	PUNCT
cana-1321	263	68	findings	finding	NOUN
cana-1321	263	69	from	from	ADP
cana-1321	263	70	table	table	NOUN
cana-1321	263	71	8	8	NUM
cana-1321	263	72	.	.	PUNCT
cana-1321	263	73	table	table	NOUN
cana-1321	263	74	8	8	NUM
cana-1321	263	75	.	.	PUNCT
cana-1321	264	1	correlating	correlate	VERB
cana-1321	264	2	results	result	NOUN
cana-1321	264	3	:	:	PUNCT
cana-1321	264	4	comparative	comparative	ADJ
cana-1321	264	5	analysis	analysis	NOUN
cana-1321	264	6	of	of	ADP
cana-1321	264	7	lagrangean	lagrangean	ADJ
cana-1321	264	8	multiplier	multipli	ADJ
cana-1321	264	9	method	method	NOUN
cana-1321	264	10	with	with	ADP
cana-1321	264	11	rounding	round	VERB
cana-1321	264	12	-	-	PUNCT
cana-1321	264	13	off	off	ADP
cana-1321	264	14	and	and	CCONJ
cana-1321	264	15	integer	integer	NOUN
cana-1321	264	16	programming	programming	NOUN
cana-1321	264	17	method	method	NOUN
cana-1321	264	18	approaches	approach	NOUN
cana-1321	264	19	for	for	ADP
cana-1321	264	20	weight	weight	NOUN
cana-1321	264	21	-	-	PUNCT
cana-1321	264	22	component	component	NOUN
cana-1321	264	23	lmm	lmm	PROPN
cana-1321	264	24	with	with	ADP
cana-1321	264	25	rounding	round	VERB
cana-1321	264	26	off	off	ADP
cana-1321	264	27	integer	integer	NOUN
cana-1321	264	28	programming	programming	NOUN
cana-1321	264	29	method	method	NOUN
cana-1321	264	30	phase	phase	NOUN
cana-1321	264	31	01	01	NUM
cana-1321	264	32	4	4	NUM
cana-1321	264	33	0.9141	0.9141	NUM
cana-1321	264	34	0.7177	0.7177	NUM
cana-1321	264	35	41	41	NUM
cana-1321	264	36	164	164	NUM
cana-1321	264	37	0.9345	0.9345	NUM
cana-1321	264	38	0.7626	0.7626	NUM
cana-1321	264	39	39	39	NUM
cana-1321	264	40	156	156	NUM
cana-1321	264	41	02	02	NUM
cana-1321	264	42	4	4	NUM
cana-1321	264	43	0.9245	0.9245	NUM
cana-1321	264	44	0.7098	0.7098	NUM
cana-1321	264	45	48	48	NUM
cana-1321	264	46	192	192	NUM
cana-1321	264	47	0.9482	0.9482	NUM
cana-1321	264	48	0.8083	0.8083	NUM
cana-1321	264	49	46	46	NUM
cana-1321	264	50	184	184	NUM
cana-1321	264	51	03	03	NUM
cana-1321	264	52	6	6	NUM
cana-1321	264	53	0.9247	0.9247	NUM
cana-1321	264	54	0.6461	0.6461	NUM
cana-1321	264	55	59	59	NUM
cana-1321	264	56	354	354	NUM
cana-1321	264	57	0.9555	0.9555	NUM
cana-1321	264	58	0.7610	0.7610	NUM
cana-1321	264	59	56	56	NUM
cana-1321	264	60	336	336	NUM
cana-1321	264	61	final	final	ADJ
cana-1321	264	62	weight	weight	NOUN
cana-1321	264	63	-	-	PUNCT
cana-1321	264	64	component	component	NOUN
cana-1321	264	65	710	710	NUM
cana-1321	264	66	676	676	NUM
cana-1321	264	67	(	(	PUNCT
cana-1321	264	68	lmmwr	lmmwr	ADJ
cana-1321	264	69	0.9392	0.9392	NUM
cana-1321	264	70	ipm	ipm	NOUN
cana-1321	264	71	0.9621	0.9621	NUM
cana-1321	264	72	5.5	5.5	NUM
cana-1321	264	73	evaluating	evaluate	VERB
cana-1321	264	74	optimization	optimization	NOUN
cana-1321	264	75	strategies	strategy	NOUN
cana-1321	264	76	in	in	ADP
cana-1321	264	77	integrated	integrate	VERB
cana-1321	264	78	redundant	redundant	ADJ
cana-1321	264	79	reliability	reliability	NOUN
cana-1321	264	80	parallel	parallel	NOUN
cana-1321	264	81	-	-	PUNCT
cana-1321	264	82	series	series	NOUN
cana-1321	264	83	systems	system	NOUN
cana-1321	264	84	:	:	PUNCT
cana-1321	264	85	a	a	DET
cana-1321	264	86	comparative	comparative	ADJ
cana-1321	264	87	analysis	analysis	NOUN
cana-1321	264	88	of	of	ADP
cana-1321	264	89	lagrangean	lagrangean	ADJ
cana-1321	264	90	multiplier	multipli	ADJ
cana-1321	264	91	method	method	NOUN
cana-1321	264	92	(	(	PUNCT
cana-1321	264	93	lmm	lmm	PROPN
cana-1321	264	94	)	)	PUNCT
cana-1321	264	95	with	with	ADP
cana-1321	264	96	rounding	round	VERB
cana-1321	264	97	-	-	PUNCT
cana-1321	264	98	off	off	ADP
cana-1321	264	99	and	and	CCONJ
cana-1321	264	100	integer	integer	NOUN
cana-1321	264	101	programming	programming	NOUN
cana-1321	264	102	approach	approach	NOUN
cana-1321	264	103	for	for	ADP
cana-1321	264	104	size	size	NOUN
cana-1321	264	105	components	component	NOUN
cana-1321	264	106	analytical	analytical	ADJ
cana-1321	264	107	comparison	comparison	NOUN
cana-1321	264	108	:	:	PUNCT
cana-1321	264	109	examining	examine	VERB
cana-1321	264	110	volume	volume	NOUN
cana-1321	264	111	-	-	PUNCT
cana-1321	264	112	related	relate	VERB
cana-1321	264	113	efficiency	efficiency	NOUN
cana-1321	264	114	design	design	NOUN
cana-1321	264	115	using	use	VERB
cana-1321	264	116	lagrangean	lagrangean	ADJ
cana-1321	264	117	multiplier	multipli	ADJ
cana-1321	264	118	method	method	NOUN
cana-1321	264	119	with	with	ADP
cana-1321	264	120	rounding	round	VERB
cana-1321	264	121	-	-	PUNCT
cana-1321	264	122	off	off	ADP
cana-1321	264	123	and	and	CCONJ
cana-1321	264	124	integer	integer	NOUN
cana-1321	264	125	programming	programming	NOUN
cana-1321	264	126	approach	approach	NOUN
cana-1321	264	127	–	–	PUNCT
cana-1321	264	128	findings	finding	NOUN
cana-1321	264	129	from	from	ADP
cana-1321	264	130	table	table	NOUN
cana-1321	264	131	9	9	NUM
cana-1321	264	132	.	.	PUNCT
cana-1321	264	133	table	table	NOUN
cana-1321	264	134	9	9	NUM
cana-1321	264	135	.	.	PUNCT
cana-1321	265	1	correlating	correlate	VERB
cana-1321	265	2	results	result	NOUN
cana-1321	265	3	:	:	PUNCT
cana-1321	265	4	comparative	comparative	ADJ
cana-1321	265	5	analysis	analysis	NOUN
cana-1321	265	6	of	of	ADP
cana-1321	265	7	lagrangean	lagrangean	ADJ
cana-1321	265	8	multiplier	multipli	ADJ
cana-1321	265	9	method	method	NOUN
cana-1321	265	10	with	with	ADP
cana-1321	265	11	rounding	round	VERB
cana-1321	265	12	-	-	PUNCT
cana-1321	265	13	off	off	ADP
cana-1321	265	14	and	and	CCONJ
cana-1321	265	15	integer	integer	NOUN
cana-1321	265	16	programming	programming	NOUN
cana-1321	265	17	method	method	NOUN
cana-1321	265	18	approaches	approach	NOUN
cana-1321	265	19	for	for	ADP
cana-1321	265	20	volume	volume	NOUN
cana-1321	265	21	-	-	PUNCT
cana-1321	265	22	component	component	NOUN
cana-1321	265	23	lmm	lmm	PROPN
cana-1321	265	24	with	with	ADP
cana-1321	265	25	rounding	round	VERB
cana-1321	265	26	off	off	ADP
cana-1321	265	27	integer	integer	NOUN
cana-1321	265	28	programming	programming	NOUN
cana-1321	265	29	method	method	NOUN
cana-1321	265	30	phase	phase	NOUN
cana-1321	265	31	01	01	NUM
cana-1321	265	32	4	4	NUM
cana-1321	265	33	0.9141	0.9141	NUM
cana-1321	265	34	0.7177	0.7177	NUM
cana-1321	265	35	38	38	NUM
cana-1321	265	36	152	152	NUM
cana-1321	265	37	0.9345	0.9345	NUM
cana-1321	265	38	0.7626	0.7626	NUM
cana-1321	265	39	37	37	NUM
cana-1321	265	40	148	148	NUM
cana-1321	265	41	02	02	NUM
cana-1321	265	42	4	4	NUM
cana-1321	265	43	0.9245	0.9245	NUM
cana-1321	265	44	0.7098	0.7098	NUM
cana-1321	265	45	45	45	NUM
cana-1321	265	46	180	180	NUM
cana-1321	265	47	0.9482	0.9482	NUM
cana-1321	265	48	0.8083	0.8083	NUM
cana-1321	265	49	44	44	NUM
cana-1321	265	50	176	176	NUM
cana-1321	265	51	03	03	NUM
cana-1321	265	52	6	6	NUM
cana-1321	265	53	0.9247	0.9247	NUM
cana-1321	265	54	0.6461	0.6461	NUM
cana-1321	265	55	52	52	NUM
cana-1321	265	56	312	312	NUM
cana-1321	265	57	0.9555	0.9555	NUM
cana-1321	265	58	0.7610	0.7610	NUM
cana-1321	265	59	50	50	NUM
cana-1321	265	60	300	300	NUM
cana-1321	265	61	final	final	ADJ
cana-1321	265	62	volume	volume	NOUN
cana-1321	265	63	-	-	PUNCT
cana-1321	265	64	component	component	NOUN
cana-1321	265	65	644	644	NUM
cana-1321	265	66	624	624	NUM
cana-1321	265	67	(	(	PUNCT
cana-1321	265	68	lmmwr	lmmwr	NOUN
cana-1321	265	69	0.9392	0.9392	NUM
cana-1321	265	70	ipm	ipm	NOUN
cana-1321	265	71	0.9621	0.9621	NUM
cana-1321	265	72	5.5.1	5.5.1	NUM
cana-1321	265	73	fluctuation	fluctuation	NOUN
cana-1321	265	74	in	in	ADP
cana-1321	265	75	price	price	NOUN
cana-1321	265	76	-	-	PUNCT
cana-1321	265	77	component	component	NOUN
cana-1321	265	78	under	under	ADP
cana-1321	265	79	ipm	ipm	ADJ
cana-1321	265	80	frame	frame	NOUN
cana-1321	265	81	work	work	NOUN
cana-1321	265	82	=	=	PUNCT
cana-1321	265	83	05.44	05.44	NUM
cana-1321	265	84	%	%	NOUN
cana-1321	265	85	5.5.2	5.5.2	NUM
cana-1321	265	86	fluctuation	fluctuation	NOUN
cana-1321	265	87	in	in	ADP
cana-1321	265	88	weight	weight	NOUN
cana-1321	265	89	-	-	PUNCT
cana-1321	265	90	component	component	NOUN
cana-1321	265	91	under	under	ADP
cana-1321	265	92	ipm	ipm	ADJ
cana-1321	265	93	frame	frame	NOUN
cana-1321	265	94	work	work	NOUN
cana-1321	265	95	=	=	PUNCT
cana-1321	265	96	04.71	04.71	NUM
cana-1321	265	97	%	%	NOUN
cana-1321	265	98	5.5.3	5.5.3	NUM
cana-1321	265	99	fluctuation	fluctuation	NOUN
cana-1321	265	100	in	in	ADP
cana-1321	265	101	volume	volume	NOUN
cana-1321	265	102	-	-	PUNCT
cana-1321	265	103	component	component	NOUN
cana-1321	265	104	under	under	ADP
cana-1321	265	105	ipm	ipm	ADJ
cana-1321	265	106	frame	frame	NOUN
cana-1321	265	107	work	work	NOUN
cana-1321	265	108	=	=	PUNCT
cana-1321	265	109	3.11	3.11	NUM
cana-1321	265	110	%	%	NOUN
cana-1321	265	111	5.5.4	5.5.4	NUM
cana-1321	265	112	fluctuation	fluctuation	NOUN
cana-1321	265	113	in	in	ADP
cana-1321	265	114	system	system	NOUN
cana-1321	265	115	reliability	reliability	NOUN
cana-1321	265	116	under	under	ADP
cana-1321	265	117	ipm	ipm	ADJ
cana-1321	265	118	frame	frame	NOUN
cana-1321	265	119	work	work	NOUN
cana-1321	265	120	=	=	PUNCT
cana-1321	265	121	2.44	2.44	NUM
cana-1321	265	122	%	%	NOUN
cana-1321	265	123	6	6	NUM
cana-1321	265	124	discussion	discussion	NOUN
cana-1321	265	125	this	this	DET
cana-1321	265	126	paper	paper	NOUN
cana-1321	265	127	presents	present	VERB
cana-1321	265	128	a	a	DET
cana-1321	265	129	novel	novel	ADJ
cana-1321	265	130	reliability	reliability	NOUN
cana-1321	265	131	architecture	architecture	NOUN
cana-1321	265	132	specifically	specifically	ADV
cana-1321	265	133	designed	design	VERB
cana-1321	265	134	for	for	ADP
cana-1321	265	135	a	a	DET
cana-1321	265	136	parallel	parallel	ADJ
cana-1321	265	137	-	-	PUNCT
cana-1321	265	138	series	series	NOUN
cana-1321	265	139	configuration	configuration	NOUN
cana-1321	265	140	system	system	NOUN
cana-1321	265	141	with	with	ADP
cana-1321	265	142	different	different	ADJ
cana-1321	265	143	efficiency	efficiency	NOUN
cana-1321	265	144	objectives	objective	NOUN
cana-1321	265	145	.	.	PUNCT
cana-1321	266	1	the	the	DET
cana-1321	266	2	lagrangean	lagrangean	ADJ
cana-1321	266	3	multiplier	multipli	ADJ
cana-1321	266	4	approach	approach	NOUN
cana-1321	266	5	is	be	AUX
cana-1321	266	6	used	use	VERB
cana-1321	266	7	to	to	PART
cana-1321	266	8	determine	determine	VERB
cana-1321	266	9	the	the	DET
cana-1321	266	10	values	value	NOUN
cana-1321	266	11	of	of	ADP
cana-1321	266	12	components	component	NOUN
cana-1321	266	13	(	(	PUNCT
cana-1321	266	14	)	)	PUNCT
cana-1321	266	15	,	,	PUNCT
cana-1321	266	16	component	component	NOUN
cana-1321	266	17	reliability	reliability	NOUN
cana-1321	266	18	(	(	PUNCT
cana-1321	266	19	)	)	PUNCT
cana-1321	266	20	,	,	PUNCT
cana-1321	266	21	stage	stage	NOUN
cana-1321	266	22	reliability	reliability	NOUN
cana-1321	266	23	(	(	PUNCT
cana-1321	266	24	)	)	PUNCT
cana-1321	266	25	,	,	PUNCT
cana-1321	266	26	and	and	CCONJ
cana-1321	266	27	system	system	NOUN
cana-1321	266	28	reliability	reliability	NOUN
cana-1321	266	29	(	(	PUNCT
cana-1321	266	30	when	when	SCONJ
cana-1321	266	31	working	work	VERB
cana-1321	266	32	with	with	ADP
cana-1321	266	33	data	datum	NOUN
cana-1321	266	34	represented	represent	VERB
cana-1321	266	35	in	in	ADP
cana-1321	266	36	real	real	ADJ
cana-1321	266	37	numbers	number	NOUN
cana-1321	266	38	.	.	PUNCT
cana-1321	267	1	the	the	DET
cana-1321	267	2	component	component	NOUN
cana-1321	267	3	efficiencies	efficiency	NOUN
cana-1321	267	4	(	(	PUNCT
cana-1321	267	5	)	)	PUNCT
cana-1321	267	6	are	be	AUX
cana-1321	267	7	0.9141	0.9141	NUM
cana-1321	267	8	,	,	PUNCT
cana-1321	267	9	0.9245	0.9245	NUM
cana-1321	267	10	and	and	CCONJ
cana-1321	267	11	0.9247	0.9247	NUM
cana-1321	267	12	,	,	PUNCT
cana-1321	267	13	the	the	DET
cana-1321	267	14	stage	stage	NOUN
cana-1321	267	15	reliabilities	reliability	NOUN
cana-1321	267	16	(	(	PUNCT
cana-1321	267	17	)	)	PUNCT
cana-1321	267	18	are	be	AUX
cana-1321	267	19	0.7177	0.7177	NUM
cana-1321	267	20	,	,	PUNCT
cana-1321	267	21	0.7098	0.7098	NUM
cana-1321	267	22	,	,	PUNCT
cana-1321	267	23	and	and	CCONJ
cana-1321	267	24	communications	communication	NOUN
cana-1321	267	25	on	on	ADP
cana-1321	267	26	applied	apply	VERB
cana-1321	267	27	nonlinear	nonlinear	ADJ
cana-1321	267	28	analysis	analysis	NOUN
cana-1321	267	29	issn	issn	NOUN
cana-1321	267	30	:	:	PUNCT
cana-1321	267	31	1074	1074	NUM
cana-1321	267	32	-	-	PUNCT
cana-1321	267	33	133x	133x	NUM
cana-1321	267	34	vol	vol	NOUN
cana-1321	267	35	31	31	NUM
cana-1321	267	36	no	no	NOUN
cana-1321	267	37	.	.	PUNCT
cana-1321	268	1	7s	7	NOUN
cana-1321	268	2	(	(	PUNCT
cana-1321	268	3	2024	2024	NUM
cana-1321	268	4	)	)	PUNCT
cana-1321	268	5	435	435	NUM
cana-1321	268	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	268	7	0.6461	0.6461	NUM
cana-1321	268	8	,	,	PUNCT
cana-1321	268	9	and	and	CCONJ
cana-1321	268	10	the	the	DET
cana-1321	268	11	structural	structural	ADJ
cana-1321	268	12	dependability	dependability	NOUN
cana-1321	268	13	(	(	PUNCT
cana-1321	268	14	is	be	AUX
cana-1321	268	15	0.9392	0.9392	NUM
cana-1321	268	16	.	.	PUNCT
cana-1321	269	1	the	the	DET
cana-1321	269	2	integer	integer	NOUN
cana-1321	269	3	programming	programming	NOUN
cana-1321	269	4	approach	approach	NOUN
cana-1321	269	5	is	be	AUX
cana-1321	269	6	used	use	VERB
cana-1321	269	7	to	to	PART
cana-1321	269	8	obtain	obtain	VERB
cana-1321	269	9	integer	integer	NOUN
cana-1321	269	10	solutions	solution	NOUN
cana-1321	269	11	for	for	ADP
cana-1321	269	12	practical	practical	ADJ
cana-1321	269	13	purposes	purpose	NOUN
cana-1321	269	14	.	.	PUNCT
cana-1321	270	1	this	this	DET
cana-1321	270	2	method	method	NOUN
cana-1321	270	3	yields	yield	VERB
cana-1321	270	4	component	component	NOUN
cana-1321	270	5	reliabilities	reliability	NOUN
cana-1321	270	6	(	(	PUNCT
cana-1321	270	7	)	)	PUNCT
cana-1321	270	8	of	of	ADP
cana-1321	270	9	0.9345	0.9345	NUM
cana-1321	270	10	,	,	PUNCT
cana-1321	270	11	0.9482	0.9482	NUM
cana-1321	270	12	and	and	CCONJ
cana-1321	270	13	0.9555	0.9555	NUM
cana-1321	270	14	,	,	PUNCT
cana-1321	270	15	stage	stage	NOUN
cana-1321	270	16	reliabilities	reliability	NOUN
cana-1321	270	17	(	(	PUNCT
cana-1321	270	18	)	)	PUNCT
cana-1321	270	19	of	of	ADP
cana-1321	270	20	0.7626	0.7626	NUM
cana-1321	270	21	,	,	PUNCT
cana-1321	270	22	0.8083	0.8083	NUM
cana-1321	270	23	and	and	CCONJ
cana-1321	270	24	0.7610	0.7610	NUM
cana-1321	270	25	,	,	PUNCT
cana-1321	270	26	and	and	CCONJ
cana-1321	270	27	system	system	NOUN
cana-1321	270	28	reliability	reliability	NOUN
cana-1321	270	29	(	(	PUNCT
cana-1321	270	30	of	of	ADP
cana-1321	270	31	0.9621	0.9621	NUM
cana-1321	270	32	.	.	PUNCT
cana-1321	271	1	the	the	DET
cana-1321	271	2	integer	integer	NOUN
cana-1321	271	3	solutions	solution	NOUN
cana-1321	271	4	are	be	AUX
cana-1321	271	5	produced	produce	VERB
cana-1321	271	6	using	use	VERB
cana-1321	271	7	inputs	input	NOUN
cana-1321	271	8	drawn	draw	VERB
cana-1321	271	9	from	from	ADP
cana-1321	271	10	the	the	DET
cana-1321	271	11	lagrangean	lagrangean	ADJ
cana-1321	271	12	approach	approach	NOUN
cana-1321	271	13	,	,	PUNCT
cana-1321	271	14	which	which	PRON
cana-1321	271	15	guarantees	guarantee	VERB
cana-1321	271	16	the	the	DET
cana-1321	271	17	practical	practical	ADJ
cana-1321	271	18	applicability	applicability	NOUN
cana-1321	271	19	of	of	ADP
cana-1321	271	20	the	the	DET
cana-1321	271	21	model	model	NOUN
cana-1321	271	22	.	.	PUNCT
cana-1321	272	1	the	the	DET
cana-1321	272	2	integrated	integrate	VERB
cana-1321	272	3	redundant	redundant	ADJ
cana-1321	272	4	reliability	reliability	NOUN
cana-1321	272	5	model	model	NOUN
cana-1321	272	6	is	be	AUX
cana-1321	272	7	developed	develop	VERB
cana-1321	272	8	by	by	ADP
cana-1321	272	9	applying	apply	VERB
cana-1321	272	10	a	a	DET
cana-1321	272	11	heuristic	heuristic	ADJ
cana-1321	272	12	approach	approach	NOUN
cana-1321	272	13	to	to	PART
cana-1321	272	14	examine	examine	VERB
cana-1321	272	15	several	several	ADJ
cana-1321	272	16	constraints	constraint	NOUN
cana-1321	272	17	on	on	ADP
cana-1321	272	18	the	the	DET
cana-1321	272	19	mathematical	mathematical	ADJ
cana-1321	272	20	function	function	NOUN
cana-1321	272	21	.	.	PUNCT
cana-1321	273	1	the	the	DET
cana-1321	273	2	input	input	NOUN
cana-1321	273	3	for	for	ADP
cana-1321	273	4	the	the	DET
cana-1321	273	5	ipm	ipm	ADJ
cana-1321	273	6	approach	approach	NOUN
cana-1321	273	7	is	be	AUX
cana-1321	273	8	obtained	obtain	VERB
cana-1321	273	9	from	from	ADP
cana-1321	273	10	the	the	DET
cana-1321	273	11	lagrangean	lagrangean	ADJ
cana-1321	273	12	method	method	NOUN
cana-1321	273	13	for	for	ADP
cana-1321	273	14	the	the	DET
cana-1321	273	15	given	give	VERB
cana-1321	273	16	case	case	NOUN
cana-1321	273	17	problem	problem	NOUN
cana-1321	273	18	.	.	PUNCT
cana-1321	274	1	the	the	DET
cana-1321	274	2	model	model	NOUN
cana-1321	274	3	's	's	PART
cana-1321	274	4	results	result	NOUN
cana-1321	274	5	underscore	underscore	VERB
cana-1321	274	6	a	a	DET
cana-1321	274	7	significant	significant	ADJ
cana-1321	274	8	benefit	benefit	NOUN
cana-1321	274	9	of	of	ADP
cana-1321	274	10	the	the	DET
cana-1321	274	11	lagrangean	lagrangean	ADJ
cana-1321	274	12	approach	approach	NOUN
cana-1321	274	13	,	,	PUNCT
cana-1321	274	14	namely	namely	ADV
cana-1321	274	15	that	that	SCONJ
cana-1321	274	16	the	the	DET
cana-1321	274	17	quantities	quantity	NOUN
cana-1321	274	18	of	of	ADP
cana-1321	274	19	components	component	NOUN
cana-1321	274	20	in	in	ADP
cana-1321	274	21	each	each	DET
cana-1321	274	22	stage	stage	NOUN
cana-1321	274	23	(	(	PUNCT
cana-1321	274	24	)	)	PUNCT
cana-1321	274	25	are	be	AUX
cana-1321	274	26	represented	represent	VERB
cana-1321	274	27	as	as	ADP
cana-1321	274	28	whole	whole	ADJ
cana-1321	274	29	numbers	number	NOUN
cana-1321	274	30	,	,	PUNCT
cana-1321	274	31	making	make	VERB
cana-1321	274	32	it	it	PRON
cana-1321	274	33	very	very	ADV
cana-1321	274	34	applicable	applicable	ADJ
cana-1321	274	35	in	in	ADP
cana-1321	274	36	real	real	ADJ
cana-1321	274	37	-	-	PUNCT
cana-1321	274	38	world	world	NOUN
cana-1321	274	39	scenarios	scenario	NOUN
cana-1321	274	40	.	.	PUNCT
cana-1321	275	1	although	although	SCONJ
cana-1321	275	2	classical	classical	ADJ
cana-1321	275	3	techniques	technique	NOUN
cana-1321	275	4	like	like	ADP
cana-1321	275	5	integer	integer	NOUN
cana-1321	275	6	programming	programming	NOUN
cana-1321	275	7	can	can	AUX
cana-1321	275	8	produce	produce	VERB
cana-1321	275	9	integer	integer	NOUN
cana-1321	275	10	values	value	NOUN
cana-1321	275	11	,	,	PUNCT
cana-1321	275	12	the	the	DET
cana-1321	275	13	time	time	NOUN
cana-1321	275	14	required	require	VERB
cana-1321	275	15	to	to	PART
cana-1321	275	16	compute	compute	VERB
cana-1321	275	17	solutions	solution	NOUN
cana-1321	275	18	may	may	AUX
cana-1321	275	19	exponentially	exponentially	ADV
cana-1321	275	20	rise	rise	VERB
cana-1321	275	21	as	as	ADP
cana-1321	275	22	the	the	DET
cana-1321	275	23	issue	issue	NOUN
cana-1321	275	24	size	size	NOUN
cana-1321	275	25	(	(	PUNCT
cana-1321	275	26	number	number	NOUN
cana-1321	275	27	of	of	ADP
cana-1321	275	28	variables	variable	NOUN
cana-1321	275	29	)	)	PUNCT
cana-1321	275	30	increases	increase	NOUN
cana-1321	275	31	.	.	PUNCT
cana-1321	276	1	a	a	DET
cana-1321	276	2	heuristic	heuristic	ADJ
cana-1321	276	3	strategy	strategy	NOUN
cana-1321	276	4	is	be	AUX
cana-1321	276	5	used	use	VERB
cana-1321	276	6	in	in	ADP
cana-1321	276	7	this	this	DET
cana-1321	276	8	case	case	NOUN
cana-1321	276	9	to	to	PART
cana-1321	276	10	effectively	effectively	ADV
cana-1321	276	11	locate	locate	VERB
cana-1321	276	12	integer	integer	NOUN
cana-1321	276	13	solutions	solution	NOUN
cana-1321	276	14	.	.	PUNCT
cana-1321	277	1	in	in	ADP
cana-1321	277	2	the	the	DET
cana-1321	277	3	lagrangian	lagrangian	ADJ
cana-1321	277	4	approach	approach	NOUN
cana-1321	277	5	,	,	PUNCT
cana-1321	277	6	the	the	DET
cana-1321	277	7	system	system	NOUN
cana-1321	277	8	's	's	PART
cana-1321	277	9	reliability	reliability	NOUN
cana-1321	277	10	generally	generally	ADV
cana-1321	277	11	increases	increase	VERB
cana-1321	277	12	as	as	ADP
cana-1321	277	13	the	the	DET
cana-1321	277	14	cost	cost	NOUN
cana-1321	277	15	of	of	ADP
cana-1321	277	16	the	the	DET
cana-1321	277	17	system	system	NOUN
cana-1321	277	18	increases	increase	VERB
cana-1321	277	19	(	(	PUNCT
cana-1321	277	20	a	a	DET
cana-1321	277	21	similar	similar	ADJ
cana-1321	277	22	pattern	pattern	NOUN
cana-1321	277	23	is	be	AUX
cana-1321	277	24	observed	observe	VERB
cana-1321	277	25	when	when	SCONJ
cana-1321	277	26	is	be	AUX
cana-1321	277	27	rounded	round	VERB
cana-1321	277	28	off	off	ADP
cana-1321	277	29	)	)	PUNCT
cana-1321	277	30	.	.	PUNCT
cana-1321	278	1	on	on	ADP
cana-1321	278	2	the	the	DET
cana-1321	278	3	other	other	ADJ
cana-1321	278	4	hand	hand	NOUN
cana-1321	278	5	,	,	PUNCT
cana-1321	278	6	the	the	DET
cana-1321	278	7	lmm	lmm	PROPN
cana-1321	278	8	technique	technique	NOUN
cana-1321	278	9	shows	show	VERB
cana-1321	278	10	that	that	SCONJ
cana-1321	278	11	values	value	NOUN
cana-1321	278	12	associated	associate	VERB
cana-1321	278	13	with	with	ADP
cana-1321	278	14	cost	cost	NOUN
cana-1321	278	15	,	,	PUNCT
cana-1321	278	16	weight	weight	NOUN
cana-1321	278	17	,	,	PUNCT
cana-1321	278	18	and	and	CCONJ
cana-1321	278	19	volume	volume	NOUN
cana-1321	278	20	are	be	AUX
cana-1321	278	21	roughly	roughly	ADV
cana-1321	278	22	in	in	ADP
cana-1321	278	23	line	line	NOUN
cana-1321	278	24	with	with	ADP
cana-1321	278	25	the	the	DET
cana-1321	278	26	values	value	NOUN
cana-1321	278	27	of	of	ADP
cana-1321	278	28	the	the	DET
cana-1321	278	29	case	case	NOUN
cana-1321	278	30	issue	issue	NOUN
cana-1321	278	31	.	.	PUNCT
cana-1321	279	1	this	this	PRON
cana-1321	279	2	leads	lead	VERB
cana-1321	279	3	to	to	ADP
cana-1321	279	4	a	a	DET
cana-1321	279	5	decrease	decrease	NOUN
cana-1321	279	6	in	in	ADP
cana-1321	279	7	the	the	DET
cana-1321	279	8	number	number	NOUN
cana-1321	279	9	of	of	ADP
cana-1321	279	10	components	component	NOUN
cana-1321	279	11	in	in	ADP
cana-1321	279	12	each	each	DET
cana-1321	279	13	stage	stage	NOUN
cana-1321	279	14	(	(	PUNCT
cana-1321	279	15	)	)	PUNCT
cana-1321	279	16	and	and	CCONJ
cana-1321	279	17	a	a	DET
cana-1321	279	18	slight	slight	ADJ
cana-1321	279	19	drop	drop	NOUN
cana-1321	279	20	in	in	ADP
cana-1321	279	21	system	system	NOUN
cana-1321	279	22	reliability	reliability	NOUN
cana-1321	279	23	.	.	PUNCT
cana-1321	280	1	in	in	ADP
cana-1321	280	2	future	future	ADJ
cana-1321	280	3	research	research	NOUN
cana-1321	280	4	,	,	PUNCT
cana-1321	280	5	the	the	DET
cana-1321	280	6	authors	author	NOUN
cana-1321	280	7	propose	propose	VERB
cana-1321	280	8	exploring	explore	VERB
cana-1321	280	9	a	a	DET
cana-1321	280	10	novel	novel	ADJ
cana-1321	280	11	technique	technique	NOUN
cana-1321	280	12	that	that	PRON
cana-1321	280	13	establishes	establish	VERB
cana-1321	280	14	constraints	constraint	NOUN
cana-1321	280	15	on	on	ADP
cana-1321	280	16	the	the	DET
cana-1321	280	17	minimum	minimum	ADJ
cana-1321	280	18	and	and	CCONJ
cana-1321	280	19	maximum	maximum	ADJ
cana-1321	280	20	levels	level	NOUN
cana-1321	280	21	of	of	ADP
cana-1321	280	22	reliability	reliability	NOUN
cana-1321	280	23	for	for	ADP
cana-1321	280	24	components	component	NOUN
cana-1321	280	25	,	,	PUNCT
cana-1321	280	26	with	with	ADP
cana-1321	280	27	the	the	DET
cana-1321	280	28	goal	goal	NOUN
cana-1321	280	29	of	of	ADP
cana-1321	280	30	improving	improve	VERB
cana-1321	280	31	the	the	DET
cana-1321	280	32	overall	overall	ADJ
cana-1321	280	33	dependability	dependability	NOUN
cana-1321	280	34	of	of	ADP
cana-1321	280	35	the	the	DET
cana-1321	280	36	system	system	NOUN
cana-1321	280	37	.	.	PUNCT
cana-1321	281	1	the	the	DET
cana-1321	281	2	aim	aim	NOUN
cana-1321	281	3	is	be	AUX
cana-1321	281	4	to	to	PART
cana-1321	281	5	enhance	enhance	VERB
cana-1321	281	6	the	the	DET
cana-1321	281	7	breadth	breadth	NOUN
cana-1321	281	8	and	and	CCONJ
cana-1321	281	9	flexibility	flexibility	NOUN
cana-1321	281	10	of	of	ADP
cana-1321	281	11	integrated	integrate	VERB
cana-1321	281	12	reliability	reliability	NOUN
cana-1321	281	13	models	model	NOUN
cana-1321	281	14	(	(	PUNCT
cana-1321	281	15	irms	irm	NOUN
cana-1321	281	16	)	)	PUNCT
cana-1321	281	17	by	by	ADP
cana-1321	281	18	integrating	integrate	VERB
cana-1321	281	19	redundancy	redundancy	NOUN
cana-1321	281	20	,	,	PUNCT
cana-1321	281	21	using	use	VERB
cana-1321	281	22	existing	exist	VERB
cana-1321	281	23	heuristic	heuristic	ADJ
cana-1321	281	24	methodologies	methodology	NOUN
cana-1321	281	25	.	.	PUNCT
cana-1321	282	1	acknowledgement	acknowledgement	NOUN
cana-1321	282	2	this	this	DET
cana-1321	282	3	research	research	NOUN
cana-1321	282	4	was	be	AUX
cana-1321	282	5	not	not	PART
cana-1321	282	6	funded	fund	VERB
cana-1321	282	7	by	by	ADP
cana-1321	282	8	any	any	DET
cana-1321	282	9	grant	grant	NOUN
cana-1321	282	10	.	.	PUNCT
cana-1321	283	1	compliance	compliance	NOUN
cana-1321	283	2	with	with	ADP
cana-1321	283	3	ethical	ethical	ADJ
cana-1321	283	4	standards	standard	NOUN
cana-1321	283	5	there	there	PRON
cana-1321	283	6	is	be	VERB
cana-1321	283	7	no	no	DET
cana-1321	283	8	conflict	conflict	NOUN
cana-1321	283	9	of	of	ADP
cana-1321	283	10	interest	interest	NOUN
cana-1321	283	11	between	between	ADP
cana-1321	283	12	any	any	DET
cana-1321	283	13	parties	party	NOUN
cana-1321	283	14	in	in	ADP
cana-1321	283	15	this	this	DET
cana-1321	283	16	paper	paper	NOUN
cana-1321	283	17	.	.	PUNCT
cana-1321	284	1	also	also	ADV
cana-1321	284	2	,	,	PUNCT
cana-1321	284	3	ethical	ethical	ADJ
cana-1321	284	4	clearance	clearance	NOUN
cana-1321	284	5	is	be	AUX
cana-1321	284	6	not	not	PART
cana-1321	284	7	required	require	VERB
cana-1321	284	8	as	as	SCONJ
cana-1321	284	9	there	there	PRON
cana-1321	284	10	are	be	VERB
cana-1321	284	11	no	no	DET
cana-1321	284	12	humans	human	NOUN
cana-1321	284	13	or	or	CCONJ
cana-1321	284	14	animals	animal	NOUN
cana-1321	284	15	involved	involve	VERB
cana-1321	284	16	in	in	ADP
cana-1321	284	17	this	this	DET
cana-1321	284	18	project	project	NOUN
cana-1321	284	19	.	.	PUNCT
cana-1321	285	1	the	the	DET
cana-1321	285	2	consent	consent	NOUN
cana-1321	285	3	of	of	ADP
cana-1321	285	4	all	all	DET
cana-1321	285	5	the	the	DET
cana-1321	285	6	authors	author	NOUN
cana-1321	285	7	are	be	AUX
cana-1321	285	8	taken	take	VERB
cana-1321	285	9	in	in	ADP
cana-1321	285	10	confidence	confidence	NOUN
cana-1321	285	11	.	.	PUNCT
cana-1321	286	1	references	reference	NOUN
cana-1321	286	2	[	[	X
cana-1321	286	3	1	1	NUM
cana-1321	286	4	]	]	X
cana-1321	286	5	mishra	mishra	PROPN
cana-1321	286	6	,	,	PUNCT
cana-1321	286	7	k.	k.	PROPN
cana-1321	286	8	b.	b.	PROPN
cana-1321	286	9	(	(	PUNCT
cana-1321	286	10	1971	1971	NUM
cana-1321	286	11	)	)	PUNCT
cana-1321	286	12	.	.	PUNCT
cana-1321	287	1	a	a	DET
cana-1321	287	2	method	method	NOUN
cana-1321	287	3	of	of	ADP
cana-1321	287	4	solving	solve	VERB
cana-1321	287	5	redundancy	redundancy	NOUN
cana-1321	287	6	optimization	optimization	NOUN
cana-1321	287	7	problems	problem	NOUN
cana-1321	287	8	.	.	PUNCT
cana-1321	288	1	ieee	ieee	NOUN
cana-1321	288	2	transactions	transaction	NOUN
cana-1321	288	3	on	on	ADP
cana-1321	288	4	reliability	reliability	NOUN
cana-1321	288	5	,	,	PUNCT
cana-1321	288	6	20(3):117	20(3):117	NUM
cana-1321	288	7	-	-	SYM
cana-1321	288	8	20	20	NUM
cana-1321	288	9	.	.	PUNCT
cana-1321	289	1	[	[	X
cana-1321	289	2	2	2	NUM
cana-1321	289	3	]	]	X
cana-1321	289	4	mishra	mishra	PROPN
cana-1321	289	5	,	,	PUNCT
cana-1321	289	6	k.	k.	PROPN
cana-1321	289	7	b.	b.	PROPN
cana-1321	289	8	(	(	PUNCT
cana-1321	289	9	1972	1972	NUM
cana-1321	289	10	)	)	PUNCT
cana-1321	289	11	.	.	PUNCT
cana-1321	290	1	reliability	reliability	NOUN
cana-1321	290	2	optimization	optimization	NOUN
cana-1321	290	3	of	of	ADP
cana-1321	290	4	a	a	DET
cana-1321	290	5	series	series	NOUN
cana-1321	290	6	-	-	PUNCT
cana-1321	290	7	parallel	parallel	ADJ
cana-1321	290	8	system	system	NOUN
cana-1321	290	9	.	.	PUNCT
cana-1321	291	1	ieee	ieee	NOUN
cana-1321	291	2	transactions	transaction	NOUN
cana-1321	291	3	on	on	ADP
cana-1321	291	4	reliability	reliability	NOUN
cana-1321	291	5	,	,	PUNCT
cana-1321	291	6	21(4):230	21(4):230	NUM
cana-1321	291	7	-	-	SYM
cana-1321	291	8	238	238	NUM
cana-1321	291	9	.	.	PUNCT
cana-1321	292	1	[	[	X
cana-1321	292	2	3	3	NUM
cana-1321	292	3	]	]	X
cana-1321	292	4	agarwal	agarwal	PROPN
cana-1321	292	5	,	,	PUNCT
cana-1321	292	6	k.	k.	PROPN
cana-1321	292	7	k.	k.	PROPN
cana-1321	292	8	and	and	CCONJ
cana-1321	292	9	gupta	gupta	PROPN
cana-1321	292	10	,	,	PUNCT
cana-1321	292	11	j.	j.	PROPN
cana-1321	292	12	s.	s.	PROPN
cana-1321	292	13	(	(	PUNCT
cana-1321	292	14	1975	1975	NUM
cana-1321	292	15	)	)	PUNCT
cana-1321	292	16	.	.	PUNCT
cana-1321	293	1	on	on	ADP
cana-1321	293	2	minimizing	minimize	VERB
cana-1321	293	3	the	the	DET
cana-1321	293	4	expense	expense	NOUN
cana-1321	293	5	of	of	ADP
cana-1321	293	6	reliable	reliable	ADJ
cana-1321	293	7	systems	system	NOUN
cana-1321	293	8	.	.	PUNCT
cana-1321	294	1	ieee	ieee	NOUN
cana-1321	294	2	transactions	transaction	NOUN
cana-1321	294	3	on	on	ADP
cana-1321	294	4	reliability	reliability	NOUN
cana-1321	294	5	,	,	PUNCT
cana-1321	294	6	24(3):205	24(3):205	NOUN
cana-1321	294	7	-	-	PUNCT
cana-1321	294	8	215	215	NUM
cana-1321	294	9	.	.	PUNCT
cana-1321	295	1	[	[	X
cana-1321	295	2	4	4	NUM
cana-1321	295	3	]	]	SYM
cana-1321	295	4	ei	ei	NOUN
cana-1321	295	5	-	-	PUNCT
cana-1321	295	6	neweihi	neweihi	PROPN
cana-1321	295	7	,	,	PUNCT
cana-1321	295	8	e.	e.	PROPN
cana-1321	295	9	,	,	PUNCT
cana-1321	295	10	f.	f.	PROPN
cana-1321	295	11	proschan	proschan	PROPN
cana-1321	295	12	and	and	CCONJ
cana-1321	295	13	j.	j.	PROPN
cana-1321	295	14	sethuraman	sethuraman	PROPN
cana-1321	295	15	(	(	PUNCT
cana-1321	295	16	1986	1986	NUM
cana-1321	295	17	)	)	PUNCT
cana-1321	295	18	.	.	PUNCT
cana-1321	296	1	optimal	optimal	ADJ
cana-1321	296	2	allocation	allocation	NOUN
cana-1321	296	3	of	of	ADP
cana-1321	296	4	components	component	NOUN
cana-1321	296	5	in	in	ADP
cana-1321	296	6	parallel	parallel	ADJ
cana-1321	296	7	–	–	PUNCT
cana-1321	296	8	series	series	NOUN
cana-1321	296	9	and	and	CCONJ
cana-1321	296	10	series	series	NOUN
cana-1321	296	11	–	–	PUNCT
cana-1321	296	12	parallel	parallel	ADJ
cana-1321	296	13	system	system	NOUN
cana-1321	296	14	”	"	PUNCT
cana-1321	296	15	,	,	PUNCT
cana-1321	296	16	journal	journal	NOUN
cana-1321	296	17	of	of	ADP
cana-1321	296	18	pplied	pplie	VERB
cana-1321	296	19	probability	probability	NOUN
cana-1321	296	20	,	,	PUNCT
cana-1321	296	21	23(01	23(01	NUM
cana-1321	296	22	):	):	PUNCT
cana-1321	296	23	770	770	NUM
cana-1321	296	24	-	-	SYM
cana-1321	296	25	777	777	NUM
cana-1321	296	26	.	.	PUNCT
cana-1321	297	1	[	[	X
cana-1321	297	2	5	5	NUM
cana-1321	297	3	]	]	X
cana-1321	297	4	prasad	prasad	PROPN
cana-1321	297	5	,	,	PUNCT
cana-1321	297	6	v.r	v.r	PROPN
cana-1321	297	7	.	.	PROPN
cana-1321	297	8	,	,	PUNCT
cana-1321	297	9	y.p	y.p	PROPN
cana-1321	297	10	.	.	PROPN
cana-1321	297	11	aneja	aneja	PROPN
cana-1321	297	12	,	,	PUNCT
cana-1321	297	13	and	and	CCONJ
cana-1321	297	14	k.p.k	k.p.k	PROPN
cana-1321	297	15	.	.	PROPN
cana-1321	297	16	nair	nair	PROPN
cana-1321	297	17	,	,	PUNCT
cana-1321	297	18	(	(	PUNCT
cana-1321	297	19	1991	1991	NUM
cana-1321	297	20	)	)	PUNCT
cana-1321	297	21	.	.	PUNCT
cana-1321	298	1	a	a	DET
cana-1321	298	2	heuristic	heuristic	ADJ
cana-1321	298	3	approach	approach	NOUN
cana-1321	298	4	to	to	ADP
cana-1321	298	5	optimal	optimal	ADJ
cana-1321	298	6	assignment	assignment	NOUN
cana-1321	298	7	of	of	ADP
cana-1321	298	8	components	component	NOUN
cana-1321	298	9	to	to	ADP
cana-1321	298	10	a	a	DET
cana-1321	298	11	parallel	parallel	ADJ
cana-1321	298	12	-	-	PUNCT
cana-1321	298	13	series	series	NOUN
cana-1321	298	14	network	network	NOUN
cana-1321	298	15	”	"	PUNCT
cana-1321	298	16	,	,	PUNCT
cana-1321	298	17	ieee	ieee	NOUN
cana-1321	298	18	transaction	transaction	NOUN
cana-1321	298	19	of	of	ADP
cana-1321	298	20	eliability	eliability	NOUN
cana-1321	298	21	,	,	PUNCT
cana-1321	298	22	40(02	40(02	NUM
cana-1321	298	23	):	):	PUNCT
cana-1321	298	24	555	555	NUM
cana-1321	298	25	-	-	SYM
cana-1321	298	26	558	558	NUM
cana-1321	298	27	.	.	PUNCT
cana-1321	299	1	communications	communication	NOUN
cana-1321	299	2	on	on	ADP
cana-1321	299	3	applied	apply	VERB
cana-1321	299	4	nonlinear	nonlinear	ADJ
cana-1321	299	5	analysis	analysis	NOUN
cana-1321	299	6	issn	issn	NOUN
cana-1321	299	7	:	:	PUNCT
cana-1321	299	8	1074	1074	NUM
cana-1321	299	9	-	-	PUNCT
cana-1321	299	10	133x	133x	NUM
cana-1321	299	11	vol	vol	NOUN
cana-1321	299	12	31	31	NUM
cana-1321	299	13	no	no	NOUN
cana-1321	299	14	.	.	PUNCT
cana-1321	300	1	7s	7	NOUN
cana-1321	300	2	(	(	PUNCT
cana-1321	300	3	2024	2024	NUM
cana-1321	300	4	)	)	PUNCT
cana-1321	300	5	436	436	NUM
cana-1321	300	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1321	301	1	[	[	X
cana-1321	301	2	6	6	NUM
cana-1321	301	3	]	]	PUNCT
cana-1321	301	4	krishna	krishna	PROPN
cana-1321	301	5	b.	b.	PROPN
cana-1321	301	6	misra	misra	PROPN
cana-1321	301	7	,	,	PUNCT
cana-1321	301	8	usha	usha	PROPN
cana-1321	301	9	sharma	sharma	PROPN
cana-1321	301	10	,	,	PUNCT
cana-1321	301	11	(	(	PUNCT
cana-1321	301	12	1991	1991	NUM
cana-1321	301	13	)	)	PUNCT
cana-1321	301	14	,	,	PUNCT
cana-1321	301	15	multicriteria	multicriteria	PROPN
cana-1321	301	16	optimization	optimization	NOUN
cana-1321	301	17	for	for	ADP
cana-1321	301	18	combined	combine	VERB
cana-1321	301	19	reliability	reliability	NOUN
cana-1321	301	20	and	and	CCONJ
cana-1321	301	21	redundancy	redundancy	NOUN
cana-1321	301	22	allocation	allocation	NOUN
cana-1321	301	23	in	in	ADP
cana-1321	301	24	systems	system	NOUN
cana-1321	301	25	employing	employ	VERB
cana-1321	301	26	mixed	mixed	ADJ
cana-1321	301	27	redundancies	redundancy	NOUN
cana-1321	301	28	,	,	PUNCT
cana-1321	301	29	microelectronics	microelectronic	NOUN
cana-1321	301	30	reliability.31,323	reliability.31,323	NOUN
cana-1321	301	31	-	-	PUNCT
cana-1321	301	32	335	335	NUM
cana-1321	301	33	.	.	PUNCT
cana-1321	302	1	https://doi.org/10.1016/0026-2714(91)90217-u	https://doi.org/10.1016/0026-2714(91)90217-u	NOUN
cana-1321	302	2	.	.	PUNCT
cana-1321	303	1	[	[	X
cana-1321	303	2	7	7	NUM
cana-1321	303	3	]	]	X
cana-1321	303	4	baxter	baxter	PROPN
cana-1321	303	5	,	,	PUNCT
cana-1321	303	6	l.a	l.a	PROPN
cana-1321	303	7	.	.	PROPN
cana-1321	303	8	and	and	CCONJ
cana-1321	303	9	harche	harche	PROPN
cana-1321	303	10	,	,	PUNCT
cana-1321	303	11	f.	f.	PROPN
cana-1321	303	12	(	(	PUNCT
cana-1321	303	13	1992	1992	NUM
cana-1321	303	14	)	)	PUNCT
cana-1321	303	15	.	.	PUNCT
cana-1321	304	1	on	on	ADP
cana-1321	304	2	the	the	DET
cana-1321	304	3	optimal	optimal	ADJ
cana-1321	304	4	assembly	assembly	NOUN
cana-1321	304	5	of	of	ADP
cana-1321	304	6	series	series	NOUN
cana-1321	304	7	parallel	parallel	NOUN
cana-1321	304	8	systems	system	NOUN
cana-1321	304	9	.	.	PUNCT
cana-1321	305	1	operations	operation	NOUN
cana-1321	305	2	research	research	NOUN
cana-1321	305	3	letters	letter	NOUN
cana-1321	305	4	,	,	PUNCT
cana-1321	305	5	11(1	11(1	NUM
cana-1321	305	6	):	):	PUNCT
cana-1321	305	7	153	153	NUM
cana-1321	305	8	-	-	SYM
cana-1321	305	9	157	157	NUM
cana-1321	305	10	.	.	PUNCT
cana-1321	306	1	[	[	X
cana-1321	306	2	8	8	NUM
cana-1321	306	3	]	]	X
cana-1321	306	4	fan	fan	PROPN
cana-1321	306	5	,	,	PUNCT
cana-1321	306	6	l.	l.	PROPN
cana-1321	306	7	t.	t.	PROPN
cana-1321	306	8	and	and	CCONJ
cana-1321	306	9	wang	wang	PROPN
cana-1321	306	10	,	,	PUNCT
cana-1321	306	11	t.	t.	PROPN
cana-1321	306	12	(	(	PUNCT
cana-1321	306	13	1997	1997	NUM
cana-1321	306	14	)	)	PUNCT
cana-1321	306	15	.	.	PUNCT
cana-1321	307	1	optimization	optimization	NOUN
cana-1321	307	2	of	of	ADP
cana-1321	307	3	system	system	NOUN
cana-1321	307	4	reliability	reliability	NOUN
cana-1321	307	5	.	.	PUNCT
cana-1321	308	1	ieee	ieee	NOUN
cana-1321	308	2	transactions	transaction	NOUN
cana-1321	308	3	on	on	ADP
cana-1321	308	4	reliability	reliability	NOUN
cana-1321	308	5	,	,	PUNCT
cana-1321	308	6	16(2):8186	16(2):8186	NUM
cana-1321	308	7	.	.	PUNCT
cana-1321	309	1	[	[	X
cana-1321	309	2	9	9	NUM
cana-1321	309	3	]	]	SYM
cana-1321	309	4	prasad	prasad	PROPN
cana-1321	309	5	.	.	PUNCT
cana-1321	309	6	v.r	v.r	PROPN
cana-1321	309	7	.	.	PROPN
cana-1321	309	8	,	,	PUNCT
cana-1321	309	9	and	and	CCONJ
cana-1321	309	10	ragawachari	ragawachari	NOUN
cana-1321	309	11	,	,	PUNCT
cana-1321	309	12	(	(	PUNCT
cana-1321	309	13	1998),“optimal	1998),“optimal	NUM
cana-1321	309	14	allocation	allocation	NOUN
cana-1321	309	15	of	of	ADP
cana-1321	309	16	interchangeable	interchangeable	ADJ
cana-1321	309	17	components	component	NOUN
cana-1321	309	18	to	to	ADP
cana-1321	309	19	series	series	NOUN
cana-1321	309	20	–	–	PUNCT
cana-1321	309	21	parallel	parallel	ADJ
cana-1321	309	22	reliability	reliability	NOUN
cana-1321	309	23	system	system	NOUN
cana-1321	309	24	”	"	PUNCT
cana-1321	309	25	,	,	PUNCT
cana-1321	309	26	ieee	ieee	NOUN
cana-1321	309	27	transaction	transaction	NOUN
cana-1321	309	28	of	of	ADP
cana-1321	309	29	eliability	eliability	NOUN
cana-1321	309	30	,	,	PUNCT
cana-1321	309	31	47(03	47(03	NUM
cana-1321	309	32	):	):	PUNCT
cana-1321	309	33	255	255	NUM
cana-1321	309	34	-	-	SYM
cana-1321	309	35	260	260	NUM
cana-1321	309	36	.	.	PUNCT
cana-1321	310	1	[	[	X
cana-1321	310	2	10	10	NUM
cana-1321	310	3	]	]	X
cana-1321	310	4	kuo	kuo	PROPN
cana-1321	310	5	,	,	PUNCT
cana-1321	310	6	w.	w.	PROPN
cana-1321	310	7	and	and	CCONJ
cana-1321	310	8	prasad	prasad	PROPN
cana-1321	310	9	,	,	PUNCT
cana-1321	310	10	v.	v.	PROPN
cana-1321	310	11	r.	r.	PROPN
cana-1321	310	12	(	(	PUNCT
cana-1321	310	13	2000	2000	NUM
cana-1321	310	14	)	)	PUNCT
cana-1321	310	15	.	.	PUNCT
cana-1321	311	1	an	an	DET
cana-1321	311	2	annotated	annotate	VERB
cana-1321	311	3	overview	overview	NOUN
cana-1321	311	4	of	of	ADP
cana-1321	311	5	system	system	NOUN
cana-1321	311	6	-	-	PUNCT
cana-1321	311	7	reliability	reliability	NOUN
cana-1321	311	8	optimization	optimization	NOUN
cana-1321	311	9	.	.	PUNCT
cana-1321	312	1	ieee	ieee	NOUN
cana-1321	312	2	transactions	transaction	NOUN
cana-1321	312	3	on	on	ADP
cana-1321	312	4	reliability	reliability	NOUN
cana-1321	312	5	,	,	PUNCT
cana-1321	312	6	49(2):176	49(2):176	NOUN
cana-1321	312	7	-	-	PUNCT
cana-1321	312	8	187	187	NUM
cana-1321	312	9	.	.	PUNCT
cana-1321	313	1	[	[	X
cana-1321	313	2	11	11	NUM
cana-1321	313	3	]	]	PUNCT
cana-1321	313	4	mettas	metta	NOUN
cana-1321	313	5	,	,	PUNCT
cana-1321	313	6	a.	a.	NOUN
cana-1321	313	7	(	(	PUNCT
cana-1321	313	8	2000	2000	NUM
cana-1321	313	9	)	)	PUNCT
cana-1321	313	10	.	.	PUNCT
cana-1321	314	1	reliability	reliability	NOUN
cana-1321	314	2	allocation	allocation	NOUN
cana-1321	314	3	and	and	CCONJ
cana-1321	314	4	optimization	optimization	NOUN
cana-1321	314	5	for	for	ADP
cana-1321	314	6	complex	complex	ADJ
cana-1321	314	7	systems	system	NOUN
cana-1321	314	8	in	in	ADP
cana-1321	314	9	annual	annual	ADJ
cana-1321	314	10	reliability	reliability	NOUN
cana-1321	314	11	and	and	CCONJ
cana-1321	314	12	maintainability	maintainability	NOUN
cana-1321	314	13	symposium	symposium	NOUN
cana-1321	314	14	.	.	PUNCT
cana-1321	315	1	proceedings	proceeding	NOUN
cana-1321	315	2	of	of	ADP
cana-1321	315	3	international	international	ADJ
cana-1321	315	4	symposium	symposium	NOUN
cana-1321	315	5	on	on	ADP
cana-1321	315	6	product	product	NOUN
cana-1321	315	7	quality	quality	NOUN
cana-1321	315	8	and	and	CCONJ
cana-1321	315	9	integrity	integrity	NOUN
cana-1321	315	10	(	(	PUNCT
cana-1321	315	11	cat	cat	NOUN
cana-1321	315	12	.	.	PUNCT
cana-1321	316	1	no	no	INTJ
cana-1321	316	2	.	.	NOUN
cana-1321	316	3	00ch37055	00ch37055	NUM
cana-1321	316	4	)	)	PUNCT
cana-1321	316	5	.	.	PUNCT
cana-1321	317	1	ieee	ieee	NOUN
cana-1321	317	2	transactions	transaction	NOUN
cana-1321	317	3	on	on	ADP
cana-1321	317	4	reliability	reliability	NOUN
cana-1321	317	5	,	,	PUNCT
cana-1321	317	6	216	216	NUM
cana-1321	317	7	-	-	SYM
cana-1321	317	8	221	221	NUM
cana-1321	317	9	.	.	PUNCT
cana-1321	318	1	[	[	X
cana-1321	318	2	12	12	NUM
cana-1321	318	3	]	]	PUNCT
cana-1321	318	4	sankaraiah	sankaraiah	PROPN
cana-1321	318	5	,	,	PUNCT
cana-1321	318	6	g.	g.	PROPN
cana-1321	318	7	,	,	PUNCT
cana-1321	318	8	sarma	sarma	PROPN
cana-1321	318	9	,	,	PUNCT
cana-1321	318	10	b.	b.	PROPN
cana-1321	318	11	d.	d.	PROPN
cana-1321	318	12	,	,	PUNCT
cana-1321	318	13	umashankar	umashankar	PROPN
cana-1321	318	14	,	,	PUNCT
cana-1321	318	15	c.	c.	PROPN
cana-1321	318	16	and	and	CCONJ
cana-1321	318	17	sarma	sarma	PROPN
cana-1321	318	18	,	,	PUNCT
cana-1321	318	19	y.	y.	PROPN
cana-1321	318	20	v.	v.	PROPN
cana-1321	318	21	s.	s.	PROPN
cana-1321	318	22	(	(	PUNCT
cana-1321	318	23	2011	2011	NUM
cana-1321	318	24	)	)	PUNCT
cana-1321	318	25	.	.	PUNCT
cana-1321	319	1	designing	design	VERB
cana-1321	319	2	,	,	PUNCT
cana-1321	319	3	modelling	modelling	NOUN
cana-1321	319	4	and	and	CCONJ
cana-1321	319	5	optimizing	optimizing	NOUN
cana-1321	319	6	of	of	ADP
cana-1321	319	7	an	an	DET
cana-1321	319	8	integrated	integrate	VERB
cana-1321	319	9	reliability	reliability	NOUN
cana-1321	319	10	redundant	redundant	ADJ
cana-1321	319	11	system	system	NOUN
cana-1321	319	12	.	.	PUNCT
cana-1321	320	1	south	south	ADJ
cana-1321	320	2	african	african	ADJ
cana-1321	320	3	journal	journal	PROPN
cana-1321	320	4	of	of	ADP
cana-1321	320	5	industrial	industrial	ADJ
cana-1321	320	6	engineering	engineering	NOUN
cana-1321	320	7	,	,	PUNCT
cana-1321	320	8	22(2):100	22(2):100	PROPN
cana-1321	320	9	-	-	PUNCT
cana-1321	320	10	106	106	NUM
cana-1321	320	11	.	.	PUNCT
cana-1321	321	1	[	[	X
cana-1321	321	2	13	13	NUM
cana-1321	321	3	]	]	SYM
cana-1321	321	4	sasikala	sasikala	NOUN
cana-1321	321	5	,	,	PUNCT
cana-1321	321	6	p.	p.	NOUN
cana-1321	321	7	,	,	PUNCT
cana-1321	321	8	sridhar	sridhar	PROPN
cana-1321	321	9	,	,	PUNCT
cana-1321	321	10	a.	a.	PROPN
cana-1321	321	11	,	,	PUNCT
cana-1321	321	12	kumar	kumar	PROPN
cana-1321	321	13	,	,	PUNCT
cana-1321	321	14	s.	s.	PROPN
cana-1321	321	15	p.	p.	PROPN
cana-1321	321	16	and	and	CCONJ
cana-1321	321	17	umashankar	umashankar	PROPN
cana-1321	321	18	,	,	PUNCT
cana-1321	321	19	c.	c.	PROPN
cana-1321	321	20	(	(	PUNCT
cana-1321	321	21	2013	2013	NUM
cana-1321	321	22	)	)	PUNCT
cana-1321	321	23	.	.	PUNCT
cana-1321	322	1	optimization	optimization	NOUN
cana-1321	322	2	of	of	ADP
cana-1321	322	3	irm	irm	PROPN
cana-1321	322	4	parallel	parallel	PROPN
cana-1321	322	5	-	-	PUNCT
cana-1321	322	6	series	series	NOUN
cana-1321	322	7	redundant	redundant	ADJ
cana-1321	322	8	system	system	NOUN
cana-1321	322	9	,	,	PUNCT
cana-1321	322	10	international	international	ADJ
cana-1321	322	11	journal	journal	NOUN
cana-1321	322	12	of	of	ADP
cana-1321	322	13	engineering	engineering	PROPN
cana-1321	322	14	research	research	PROPN
cana-1321	322	15	&	&	CCONJ
cana-1321	322	16	technology	technology	NOUN
cana-1321	322	17	,	,	PUNCT
cana-1321	322	18	2(2):1	2(2):1	NOUN
cana-1321	322	19	-	-	SYM
cana-1321	322	20	6	6	NUM
cana-1321	322	21	.	.	PUNCT
cana-1321	323	1	[	[	X
cana-1321	323	2	14	14	NUM
cana-1321	323	3	]	]	PUNCT
cana-1321	323	4	sridhar	sridhar	PROPN
cana-1321	323	5	,	,	PUNCT
cana-1321	323	6	a.	a.	PROPN
cana-1321	323	7	,	,	PUNCT
cana-1321	323	8	kumar	kumar	PROPN
cana-1321	323	9	,	,	PUNCT
cana-1321	323	10	s.	s.	PROPN
cana-1321	323	11	p.	p.	PROPN
cana-1321	323	12	,	,	PUNCT
cana-1321	323	13	reddy	reddy	PROPN
cana-1321	323	14	,	,	PUNCT
cana-1321	323	15	y.	y.	PROPN
cana-1321	323	16	r.	r.	PROPN
cana-1321	323	17	,	,	PUNCT
cana-1321	323	18	sankaraiah	sankaraiah	PROPN
cana-1321	323	19	,	,	PUNCT
cana-1321	323	20	g.	g.	PROPN
cana-1321	323	21	and	and	CCONJ
cana-1321	323	22	umashankar	umashankar	PROPN
cana-1321	323	23	,	,	PUNCT
cana-1321	323	24	c.	c.	PROPN
cana-1321	323	25	(	(	PUNCT
cana-1321	323	26	2013	2013	NUM
cana-1321	323	27	)	)	PUNCT
cana-1321	323	28	.	.	PUNCT
cana-1321	324	1	the	the	DET
cana-1321	324	2	k	k	NOUN
cana-1321	324	3	-	-	PUNCT
cana-1321	324	4	out	out	ADP
cana-1321	324	5	-	-	PUNCT
cana-1321	324	6	of	of	ADP
cana-1321	324	7	-	-	PUNCT
cana-1321	324	8	n	n	ADV
cana-1321	324	9	redundant	redundant	ADJ
cana-1321	324	10	irm	irm	PROPN
cana-1321	324	11	optimization	optimization	NOUN
cana-1321	324	12	with	with	ADP
cana-1321	324	13	multiple	multiple	ADJ
cana-1321	324	14	constraints	constraint	NOUN
cana-1321	324	15	.	.	PUNCT
cana-1321	325	1	international	international	ADJ
cana-1321	325	2	journal	journal	NOUN
cana-1321	325	3	for	for	ADP
cana-1321	325	4	research	research	NOUN
cana-1321	325	5	in	in	ADP
cana-1321	325	6	science	science	PROPN
cana-1321	325	7	&	&	CCONJ
cana-1321	325	8	advanced	advanced	ADJ
cana-1321	325	9	technologies	technology	NOUN
cana-1321	325	10	,	,	PUNCT
cana-1321	325	11	3(4):436	3(4):436	NUM
cana-1321	325	12	-	-	SYM
cana-1321	325	13	438	438	NUM
cana-1321	325	14	.	.	PUNCT
cana-1321	326	1	[	[	X
cana-1321	326	2	15	15	NUM
cana-1321	326	3	]	]	X
cana-1321	326	4	mostafa	mostafa	PROPN
cana-1321	326	5	abouei	abouei	PROPN
cana-1321	326	6	ardakan	ardakan	PROPN
cana-1321	326	7	,	,	PUNCT
cana-1321	326	8	ali	ali	PROPN
cana-1321	326	9	zeinal	zeinal	PROPN
cana-1321	326	10	hamadani	hamadani	PROPN
cana-1321	326	11	,	,	PUNCT
cana-1321	326	12	(	(	PUNCT
cana-1321	326	13	2014	2014	NUM
cana-1321	326	14	)	)	PUNCT
cana-1321	326	15	,	,	PUNCT
cana-1321	326	16	reliability	reliability	NOUN
cana-1321	326	17	optimization	optimization	NOUN
cana-1321	326	18	of	of	ADP
cana-1321	326	19	series	series	NOUN
cana-1321	326	20	-	-	PUNCT
cana-1321	326	21	parallel	parallel	ADJ
cana-1321	326	22	systems	system	NOUN
cana-1321	326	23	with	with	ADP
cana-1321	326	24	mixed	mixed	ADJ
cana-1321	326	25	redundancy	redundancy	NOUN
cana-1321	326	26	strategy	strategy	NOUN
cana-1321	326	27	in	in	ADP
cana-1321	326	28	subsystems	subsystem	NOUN
cana-1321	326	29	,	,	PUNCT
cana-1321	326	30	reliability	reliability	NOUN
cana-1321	326	31	engineering	engineering	NOUN
cana-1321	326	32	&	&	CCONJ
cana-1321	326	33	system	system	PROPN
cana-1321	326	34	safety.130	safety.130	PROPN
cana-1321	326	35	(	(	PUNCT
cana-1321	326	36	1	1	NUM
cana-1321	326	37	)	)	PUNCT
cana-1321	326	38	,	,	PUNCT
cana-1321	326	39	132	132	NUM
cana-1321	326	40	-	-	SYM
cana-1321	326	41	139	139	NUM
cana-1321	326	42	.	.	PUNCT
cana-1321	327	1	https://doi.org/10.1016/j.ress.2014.06.001	https://doi.org/10.1016/j.ress.2014.06.001	NUM
cana-1321	327	2	.	.	PUNCT
cana-1321	328	1	[	[	X
cana-1321	328	2	16	16	NUM
cana-1321	328	3	]	]	PUNCT
cana-1321	328	4	debasis	debasis	NOUN
cana-1321	328	5	bhattacharya	bhattacharya	PROPN
cana-1321	328	6	,	,	PUNCT
cana-1321	328	7	soma	soma	PROPN
cana-1321	328	8	roychowdhury	roychowdhury	NOUN
cana-1321	328	9	,	,	PUNCT
cana-1321	328	10	(	(	PUNCT
cana-1321	328	11	2017	2017	NUM
cana-1321	328	12	)	)	PUNCT
cana-1321	328	13	,	,	PUNCT
cana-1321	328	14	a	a	DET
cana-1321	328	15	redundancy	redundancy	NOUN
cana-1321	328	16	strategy	strategy	NOUN
cana-1321	328	17	for	for	ADP
cana-1321	328	18	minimising	minimise	VERB
cana-1321	328	19	cost	cost	NOUN
cana-1321	328	20	in	in	ADP
cana-1321	328	21	systems	system	NOUN
cana-1321	328	22	with	with	ADP
cana-1321	328	23	non	non	ADJ
cana-1321	328	24	-	-	ADJ
cana-1321	328	25	disjoint	disjoint	ADJ
cana-1321	328	26	subsystems	subsystem	NOUN
cana-1321	328	27	under	under	ADP
cana-1321	328	28	reliability	reliability	NOUN
cana-1321	328	29	constraint	constraint	NOUN
cana-1321	328	30	,	,	PUNCT
cana-1321	328	31	international	international	ADJ
cana-1321	328	32	journal	journal	NOUN
cana-1321	328	33	of	of	ADP
cana-1321	328	34	system	system	NOUN
cana-1321	328	35	assurance	assurance	NOUN
cana-1321	328	36	engineering	engineering	NOUN
cana-1321	328	37	and	and	CCONJ
cana-1321	328	38	management	management	NOUN
cana-1321	328	39	.	.	PUNCT
cana-1321	329	1	8	8	NUM
cana-1321	329	2	(	(	PUNCT
cana-1321	329	3	1	1	NUM
cana-1321	329	4	)	)	PUNCT
cana-1321	329	5	,	,	PUNCT
cana-1321	329	6	645	645	NUM
cana-1321	329	7	-	-	SYM
cana-1321	329	8	655	655	NUM
cana-1321	329	9	.	.	PUNCT
cana-1321	330	1	https://doi.org/10.1007/s13198-016-0499-y	https://doi.org/10.1007/s13198-016-0499-y	NOUN
cana-1321	330	2	.	.	PUNCT
cana-1321	331	1	[	[	X
cana-1321	331	2	17	17	NUM
cana-1321	331	3	]	]	X
cana-1321	331	4	pe	pe	X
cana-1321	331	5	.	.	PUNCT
cana-1321	331	6	pour	pour	PROPN
cana-1321	331	7	karim	karim	PROPN
cana-1321	331	8	guilani	guilani	PROPN
cana-1321	331	9	,	,	PUNCT
cana-1321	331	10	a.	a.	NOUN
cana-1321	331	11	zaretalab	zaretalab	PROPN
cana-1321	331	12	,	,	PUNCT
cana-1321	331	13	s.t	s.t	PROPN
cana-1321	331	14	.	.	PROPN
cana-1321	331	15	a.	a.	PROPN
cana-1321	331	16	niaki	niaki	PROPN
cana-1321	331	17	,	,	PUNCT
cana-1321	331	18	pa	pa	PROPN
cana-1321	331	19	.	.	PROPN
cana-1321	331	20	pourkarim	pourkarim	PROPN
cana-1321	331	21	guilani	guilani	PROPN
cana-1321	331	22	,	,	PUNCT
cana-1321	331	23	(	(	PUNCT
cana-1321	331	24	2017	2017	NUM
cana-1321	331	25	)	)	PUNCT
cana-1321	331	26	,	,	PUNCT
cana-1321	331	27	a	a	DET
cana-1321	331	28	bi	bi	ADJ
cana-1321	331	29	-	-	ADJ
cana-1321	331	30	objective	objective	ADJ
cana-1321	331	31	model	model	NOUN
cana-1321	331	32	to	to	PART
cana-1321	331	33	optimize	optimize	VERB
cana-1321	331	34	reliability	reliability	NOUN
cana-1321	331	35	and	and	CCONJ
cana-1321	331	36	cost	cost	NOUN
cana-1321	331	37	of	of	ADP
cana-1321	331	38	k	k	NOUN
cana-1321	331	39	-	-	PUNCT
cana-1321	331	40	out	out	ADP
cana-1321	331	41	-	-	PUNCT
cana-1321	331	42	of	of	ADP
cana-1321	331	43	-	-	PUNCT
cana-1321	331	44	n	n	NOUN
cana-1321	331	45	series	series	NOUN
cana-1321	331	46	-	-	PUNCT
cana-1321	331	47	parallel	parallel	ADJ
cana-1321	331	48	systems	system	NOUN
cana-1321	331	49	with	with	ADP
cana-1321	331	50	tri	tri	ADJ
cana-1321	331	51	-	-	ADJ
cana-1321	331	52	state	state	ADJ
cana-1321	331	53	components	component	NOUN
cana-1321	331	54	,	,	PUNCT
cana-1321	331	55	international	international	ADJ
cana-1321	331	56	journal	journal	NOUN
cana-1321	331	57	of	of	ADP
cana-1321	331	58	science	science	NOUN
cana-1321	331	59	and	and	CCONJ
cana-1321	331	60	technology	technology	NOUN
cana-1321	331	61	.	.	PUNCT
cana-1321	332	1	24(3	24(3	X
cana-1321	332	2	)	)	PUNCT
cana-1321	332	3	,	,	PUNCT
cana-1321	332	4	1585	1585	NUM
cana-1321	332	5	-	-	SYM
cana-1321	332	6	1602	1602	NUM
cana-1321	332	7	.	.	PUNCT
cana-1321	333	1	doi	doi	NOUN
cana-1321	333	2	:	:	PUNCT
cana-1321	333	3	10.24200	10.24200	NUM
cana-1321	333	4	/	/	SYM
cana-1321	333	5	sci.2017.4137	sci.2017.4137	NUM
cana-1321	333	6	.	.	PUNCT
cana-1321	334	1	[	[	X
cana-1321	334	2	18	18	NUM
cana-1321	334	3	]	]	PUNCT
cana-1321	334	4	sridhar	sridhar	PROPN
cana-1321	334	5	,	,	PUNCT
cana-1321	334	6	a.	a.	NOUN
cana-1321	334	7	,	,	PUNCT
cana-1321	334	8	sasikala	sasikala	PROPN
cana-1321	334	9	,	,	PUNCT
cana-1321	334	10	p.	p.	PROPN
cana-1321	334	11	,	,	PUNCT
cana-1321	334	12	kumar	kumar	PROPN
cana-1321	334	13	,	,	PUNCT
cana-1321	334	14	s.	s.	PROPN
cana-1321	334	15	p.	p.	PROPN
cana-1321	334	16	and	and	CCONJ
cana-1321	334	17	sarma	sarma	PROPN
cana-1321	334	18	,	,	PUNCT
cana-1321	334	19	y.	y.	PROPN
cana-1321	334	20	v.	v.	PROPN
cana-1321	334	21	s.	s.	PROPN
cana-1321	334	22	(	(	PUNCT
cana-1321	334	23	2021	2021	NUM
cana-1321	334	24	)	)	PUNCT
cana-1321	334	25	.	.	PUNCT
cana-1321	335	1	design	design	NOUN
cana-1321	335	2	and	and	CCONJ
cana-1321	335	3	evaluation	evaluation	NOUN
cana-1321	335	4	of	of	ADP
cana-1321	335	5	coherent	coherent	ADJ
cana-1321	335	6	redundant	redundant	ADJ
cana-1321	335	7	system	system	NOUN
cana-1321	335	8	reliability	reliability	NOUN
cana-1321	335	9	.	.	PUNCT
cana-1321	336	1	systems	system	NOUN
cana-1321	336	2	reliability	reliability	NOUN
cana-1321	336	3	engineering	engineering	NOUN
cana-1321	336	4	,	,	PUNCT
cana-1321	336	5	edited	edit	VERB
cana-1321	336	6	by	by	ADP
cana-1321	336	7	amit	amit	PROPN
cana-1321	336	8	kumar	kumar	PROPN
cana-1321	336	9	and	and	CCONJ
cana-1321	336	10	mangey	mangey	PROPN
cana-1321	336	11	ram	ram	PROPN
cana-1321	336	12	,	,	PUNCT
cana-1321	336	13	de	de	NOUN
cana-1321	336	14	gruyter	gruyter	NOUN
cana-1321	336	15	,	,	PUNCT
cana-1321	336	16	137152	137152	NUM
cana-1321	336	17	.	.	PUNCT
cana-1321	337	1	[	[	X
cana-1321	337	2	19	19	NUM
cana-1321	337	3	]	]	PUNCT
cana-1321	337	4	sridhar	sridhar	PROPN
cana-1321	337	5	,	,	PUNCT
cana-1321	337	6	a.	a.	NOUN
cana-1321	337	7	,	,	PUNCT
cana-1321	337	8	sasikala	sasikala	PROPN
cana-1321	337	9	,	,	PUNCT
cana-1321	337	10	p.	p.	PROPN
cana-1321	337	11	,	,	PUNCT
cana-1321	337	12	kumar	kumar	PROPN
cana-1321	337	13	,	,	PUNCT
cana-1321	337	14	s.	s.	PROPN
cana-1321	337	15	p.	p.	PROPN
cana-1321	337	16	and	and	CCONJ
cana-1321	337	17	sarma	sarma	PROPN
cana-1321	337	18	,	,	PUNCT
cana-1321	337	19	y.	y.	PROPN
cana-1321	337	20	v.	v.	PROPN
cana-1321	337	21	s.	s.	PROPN
cana-1321	337	22	(	(	PUNCT
cana-1321	337	23	2022	2022	NUM
cana-1321	337	24	)	)	PUNCT
cana-1321	337	25	.	.	PUNCT
cana-1321	338	1	design	design	NOUN
cana-1321	338	2	and	and	CCONJ
cana-1321	338	3	evaluation	evaluation	NOUN
cana-1321	338	4	of	of	ADP
cana-1321	338	5	parallel	parallel	NOUN
cana-1321	338	6	-	-	PUNCT
cana-1321	338	7	series	series	NOUN
cana-1321	338	8	irm	irm	PROPN
cana-1321	338	9	system	system	PROPN
cana-1321	338	10	.	.	PUNCT
cana-1321	339	1	system	system	NOUN
cana-1321	339	2	assurances	assurance	VERB
cana-1321	339	3	modeling	modeling	NOUN
cana-1321	339	4	and	and	CCONJ
cana-1321	339	5	management	management	NOUN
cana-1321	339	6	,	,	PUNCT
cana-1321	339	7	edited	edit	VERB
cana-1321	339	8	by	by	ADP
cana-1321	339	9	prashant	prashant	PROPN
cana-1321	339	10	johri	johri	PROPN
cana-1321	339	11	,	,	PUNCT
cana-1321	339	12	adarsh	adarsh	PROPN
cana-1321	339	13	anand	anand	PROPN
cana-1321	339	14	,	,	PUNCT
cana-1321	339	15	juri	juri	PROPN
cana-1321	339	16	vain	vain	PROPN
cana-1321	339	17	,	,	PUNCT
cana-1321	339	18	jagvinder	jagvinder	NOUN
cana-1321	339	19	singh	singh	PROPN
cana-1321	339	20	,	,	PUNCT
cana-1321	339	21	and	and	CCONJ
cana-1321	339	22	mohammad	mohammad	PROPN
cana-1321	339	23	quasim	quasim	PROPN
cana-1321	339	24	,	,	PUNCT
cana-1321	339	25	academic	academic	ADJ
cana-1321	339	26	press	press	NOUN
cana-1321	339	27	(	(	PUNCT
cana-1321	339	28	elsevier	elsevier	PROPN
cana-1321	339	29	)	)	PUNCT
cana-1321	339	30	,	,	PUNCT
cana-1321	339	31	189	189	NUM
cana-1321	339	32	-	-	SYM
cana-1321	339	33	208	208	NUM
cana-1321	339	34	.	.	PUNCT
cana-1321	340	1	[	[	X
cana-1321	340	2	20	20	NUM
cana-1321	340	3	]	]	PUNCT
cana-1321	340	4	srinivasa	srinivasa	PROPN
cana-1321	340	5	rao	rao	PROPN
cana-1321	340	6	v.	v.	PROPN
cana-1321	340	7	,	,	PUNCT
cana-1321	340	8	sridhar	sridhar	PROPN
cana-1321	340	9	akiri	akiri	PROPN
cana-1321	340	10	,	,	PUNCT
cana-1321	340	11	pavan	pavan	PROPN
cana-1321	340	12	kumar	kumar	PROPN
cana-1321	340	13	s.	s.	PROPN
cana-1321	340	14	,	,	PUNCT
cana-1321	340	15	(	(	PUNCT
cana-1321	340	16	2022	2022	NUM
cana-1321	340	17	)	)	PUNCT
cana-1321	340	18	,	,	PUNCT
cana-1321	340	19	k	k	NOUN
cana-1321	340	20	-	-	PUNCT
cana-1321	340	21	out	out	ADP
cana-1321	340	22	-	-	PUNCT
cana-1321	340	23	of	of	ADP
cana-1321	340	24	-	-	PUNCT
cana-1321	340	25	n	n	NOUN
cana-1321	340	26	systems	system	NOUN
cana-1321	340	27	growth	growth	NOUN
cana-1321	340	28	study	study	NOUN
cana-1321	340	29	focusing	focus	VERB
cana-1321	340	30	on	on	ADP
cana-1321	340	31	redundant	redundant	ADJ
cana-1321	340	32	reliability	reliability	NOUN
cana-1321	340	33	systems	system	NOUN
cana-1321	340	34	by	by	ADP
cana-1321	340	35	using	use	VERB
cana-1321	340	36	heuristic	heuristic	ADJ
cana-1321	340	37	programming	programming	NOUN
cana-1321	340	38	approach	approach	NOUN
cana-1321	340	39	.	.	PUNCT
cana-1321	341	1	mathematical	mathematical	ADJ
cana-1321	341	2	statistician	statistician	NOUN
cana-1321	341	3	and	and	CCONJ
cana-1321	341	4	engineering	engineering	NOUN
cana-1321	341	5	applications	application	NOUN
cana-1321	341	6	.	.	PUNCT
cana-1321	342	1	71(4	71(4	NUM
cana-1321	342	2	)	)	PUNCT
cana-1321	342	3	,	,	PUNCT
cana-1321	342	4	5602	5602	NUM
cana-1321	342	5	-	-	SYM
cana-1321	342	6	5613	5613	NUM
cana-1321	342	7	.	.	PUNCT
cana-1321	343	1	[	[	X
cana-1321	343	2	21	21	NUM
cana-1321	343	3	]	]	X
cana-1321	343	4	srinivasa	srinivasa	PROPN
cana-1321	343	5	rao	rao	PROPN
cana-1321	343	6	v.	v.	PROPN
cana-1321	343	7	,	,	PUNCT
cana-1321	343	8	sridhar	sridhar	PROPN
cana-1321	343	9	akiri	akiri	PROPN
cana-1321	343	10	,	,	PUNCT
cana-1321	343	11	kesava	kesava	PROPN
cana-1321	343	12	rao	rao	PROPN
cana-1321	343	13	y.	y.	PROPN
cana-1321	343	14	,	,	PUNCT
cana-1321	343	15	(	(	PUNCT
cana-1321	343	16	2022	2022	NUM
cana-1321	343	17	)	)	PUNCT
cana-1321	343	18	,	,	PUNCT
cana-1321	343	19	design	design	NOUN
cana-1321	343	20	and	and	CCONJ
cana-1321	343	21	implementation	implementation	NOUN
cana-1321	343	22	of	of	ADP
cana-1321	343	23	an	an	DET
cana-1321	343	24	integrated	integrate	VERB
cana-1321	343	25	redundant	redundant	ADJ
cana-1321	343	26	reliability	reliability	NOUN
cana-1321	343	27	system	system	NOUN
cana-1321	343	28	for	for	ADP
cana-1321	343	29	k	k	NOUN
cana-1321	343	30	-	-	PUNCT
cana-1321	343	31	out	out	ADP
cana-1321	343	32	-	-	PUNCT
cana-1321	343	33	of	of	ADP
cana-1321	343	34	-	-	PUNCT
cana-1321	343	35	n	n	NOUN
cana-1321	343	36	configuration	configuration	NOUN
cana-1321	343	37	,	,	PUNCT
cana-1321	343	38	journal	journal	NOUN
cana-1321	343	39	of	of	ADP
cana-1321	343	40	neuroquantology	neuroquantology	NOUN
cana-1321	343	41	.	.	PUNCT
cana-1321	344	1	20(19	20(19	NUM
cana-1321	344	2	)	)	PUNCT
cana-1321	344	3	,	,	PUNCT
cana-1321	344	4	998	998	NUM
cana-1321	344	5	-	-	SYM
cana-1321	344	6	1009	1009	NUM
cana-1321	344	7	.	.	PUNCT
cana-1321	345	1	[	[	X
cana-1321	345	2	22	22	NUM
cana-1321	345	3	]	]	X
cana-1321	345	4	srinivasa	srinivasa	PROPN
cana-1321	345	5	rao	rao	PROPN
cana-1321	345	6	velampudi	velampudi	PROPN
cana-1321	345	7	,	,	PUNCT
cana-1321	345	8	sridhar	sridhar	PROPN
cana-1321	345	9	akiri	akiri	PROPN
cana-1321	345	10	,	,	PUNCT
cana-1321	345	11	pavan	pavan	PROPN
cana-1321	345	12	kumar	kumar	PROPN
cana-1321	345	13	subbara	subbara	PROPN
cana-1321	345	14	&	&	CCONJ
cana-1321	345	15	yadavalli	yadavalli	PROPN
cana-1321	346	1	v	v	PROPN
cana-1321	346	2	s	s	VERB
cana-1321	346	3	s.	s.	PROPN
cana-1321	346	4	,	,	PUNCT
cana-1321	346	5	(	(	PUNCT
cana-1321	346	6	2023	2023	NUM
cana-1321	346	7	)	)	PUNCT
cana-1321	346	8	,	,	PUNCT
cana-1321	346	9	a	a	DET
cana-1321	346	10	comprehensive	comprehensive	ADJ
cana-1321	346	11	case	case	NOUN
cana-1321	346	12	study	study	NOUN
cana-1321	346	13	on	on	ADP
cana-1321	346	14	integrated	integrate	VERB
cana-1321	346	15	redundant	redundant	ADJ
cana-1321	346	16	reliability	reliability	NOUN
cana-1321	346	17	model	model	NOUN
cana-1321	346	18	using	use	VERB
cana-1321	346	19	k	k	PROPN
cana-1321	346	20	out	out	ADP
cana-1321	346	21	of	of	ADP
cana-1321	346	22	n	n	PRON
cana-1321	346	23	configuration	configuration	NOUN
cana-1321	346	24	,	,	PUNCT
cana-1321	346	25	journal	journal	NOUN
cana-1321	346	26	of	of	ADP
cana-1321	346	27	reliability	reliability	NOUN
cana-1321	346	28	theory	theory	NOUN
cana-1321	346	29	&	&	CCONJ
cana-1321	346	30	applications	application	NOUN
cana-1321	346	31	.	.	PUNCT
cana-1321	347	1	18(1[72	18(1[72	PROPN
cana-1321	347	2	]	]	PUNCT
cana-1321	347	3	)	)	PUNCT
cana-1321	347	4	,	,	PUNCT
cana-1321	347	5	110	110	NUM
cana-1321	347	6	-	-	SYM
cana-1321	347	7	119	119	NUM
cana-1321	347	8	.	.	PUNCT
cana-1321	348	1	[	[	X
cana-1321	348	2	23	23	NUM
cana-1321	348	3	]	]	X
cana-1321	348	4	srinivasa	srinivasa	PROPN
cana-1321	348	5	rao	rao	PROPN
cana-1321	348	6	velampudi	velampudi	PROPN
cana-1321	348	7	,	,	PUNCT
cana-1321	348	8	sridhar	sridhar	PROPN
cana-1321	348	9	akiri	akiri	PROPN
cana-1321	348	10	&	&	CCONJ
cana-1321	348	11	pavan	pavan	PROPN
cana-1321	348	12	kumar	kumar	PROPN
cana-1321	348	13	subbara	subbara	PROPN
cana-1321	348	14	,	,	PUNCT
cana-1321	348	15	(	(	PUNCT
cana-1321	348	16	2024	2024	NUM
cana-1321	348	17	)	)	PUNCT
cana-1321	348	18	,	,	PUNCT
cana-1321	348	19	integrated	integrate	VERB
cana-1321	348	20	redundant	redundant	ADJ
cana-1321	348	21	reliability	reliability	NOUN
cana-1321	348	22	model	model	NOUN
cana-1321	348	23	using	use	VERB
cana-1321	348	24	k	k	PROPN
cana-1321	348	25	out	out	ADP
cana-1321	348	26	of	of	ADP
cana-1321	348	27	n	n	PRON
cana-1321	348	28	configuration	configuration	NOUN
cana-1321	348	29	with	with	ADP
cana-1321	348	30	integer	integer	NOUN
cana-1321	348	31	programming	programming	NOUN
cana-1321	348	32	approach	approach	NOUN
cana-1321	348	33	,	,	PUNCT
cana-1321	348	34	statistics	statistic	NOUN
cana-1321	348	35	and	and	CCONJ
cana-1321	348	36	applications	application	NOUN
cana-1321	348	37	.	.	PUNCT
cana-1321	349	1	22(1	22(1	NUM
cana-1321	349	2	)	)	PUNCT
cana-1321	349	3	,	,	PUNCT
cana-1321	349	4	137	137	NUM
cana-1321	349	5	-	-	SYM
cana-1321	349	6	147	147	NUM
cana-1321	349	7	.	.	PUNCT
cana-1321	350	1	https://doi.org/10.1016/0026-2714(91)90217-u	https://doi.org/10.1016/0026-2714(91)90217-u	NOUN
cana-1321	350	2	https://independent.academia.edu/keypass/dm9vzgj4qkvltmpxqzzyt1vuztdxcktgdng0umlkulhyq09jd1d1mxbtaz0tluvqmkiwtmrjk1e3buhrmujvd1j3l1e9pq==--905797d4a4942ef73b31595a80744f496ce7ff87/t/qfdcs-rsij7zy-d2meq/alihamadani	https://independent.academia.edu/keypass/dm9vzgj4qkvltmpxqzzyt1vuztdxcktgdng0umlkulhyq09jd1d1mxbtaz0tluvqmkiwtmrjk1e3buhrmujvd1j3l1e9pq==--905797d4a4942ef73b31595a80744f496ce7ff87/t/qfdcs-rsij7zy-d2meq/alihamadani	X
cana-1321	350	3	https://doi.org/10.1016/j.ress.2014.06.001	https://doi.org/10.1016/j.ress.2014.06.001	NUM
cana-1321	350	4	https://link.springer.com/article/10.1007/s13198-016-0499-y#auth-debasis-bhattacharya-aff1	https://link.springer.com/article/10.1007/s13198-016-0499-y#auth-debasis-bhattacharya-aff1	NOUN
cana-1321	350	5	https://link.springer.com/article/10.1007/s13198-016-0499-y#auth-soma-roychowdhury-aff2	https://link.springer.com/article/10.1007/s13198-016-0499-y#auth-soma-roychowdhury-aff2	NOUN
cana-1321	350	6	https://doi.org/10.1007/s13198-016-0499-y	https://doi.org/10.1007/s13198-016-0499-y	PROPN
cana-1321	350	7	https://scientiairanica.sharif.edu/?_action=article&au=20404&_au=pe.++pourkarim+guilani	https://scientiairanica.sharif.edu/?_action=article&au=20404&_au=pe.++pourkarim+guilani	PROPN
cana-1321	350	8	https://scientiairanica.sharif.edu/?_action=article&au=18913&_au=a.++zaretalab	https://scientiairanica.sharif.edu/?_action=article&au=18913&_au=a.++zaretalab	VERB
cana-1321	350	9	https://scientiairanica.sharif.edu/?_action=article&au=20401&_au=s.t.++a.+niaki	https://scientiairanica.sharif.edu/?_action=article&au=20401&_au=s.t.++a.+niaki	ADJ
cana-1321	350	10	https://scientiairanica.sharif.edu/?_action=article&au=20405&_au=pa.++pourkarim+guilani	https://scientiairanica.sharif.edu/?_action=article&au=20405&_au=pa.++pourkarim+guilani	ADJ
cana-1321	350	11	https://doi.org/10.24200/sci.2017.4137	https://doi.org/10.24200/sci.2017.4137	NOUN
cana-1321	350	12	https://www.degruyter.com/document/doi/10.1515/9783110617375/html	https://www.degruyter.com/document/doi/10.1515/9783110617375/html	VERB