id	sid	tid	token	lemma	pos
cana-3682	1	1	communications	communication	NOUN
cana-3682	1	2	on	on	ADP
cana-3682	1	3	applied	apply	VERB
cana-3682	1	4	nonlinear	nonlinear	ADJ
cana-3682	1	5	analysis	analysis	NOUN
cana-3682	1	6	issn	issn	NOUN
cana-3682	1	7	:	:	PUNCT
cana-3682	1	8	1074	1074	NUM
cana-3682	1	9	-	-	PUNCT
cana-3682	1	10	133x	133x	NUM
cana-3682	1	11	vol	vol	NOUN
cana-3682	1	12	32	32	NUM
cana-3682	1	13	no	no	NOUN
cana-3682	1	14	.	.	PUNCT
cana-3682	2	1	8s	8s	PROPN
cana-3682	2	2	(	(	PUNCT
cana-3682	2	3	2025	2025	NUM
cana-3682	2	4	)	)	PUNCT
cana-3682	2	5	383	383	NUM
cana-3682	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3682	2	7	analyzing	analyze	VERB
cana-3682	2	8	air	air	NOUN
cana-3682	2	9	traffic	traffic	NOUN
cana-3682	2	10	control	control	NOUN
cana-3682	2	11	system	system	NOUN
cana-3682	2	12	reliability	reliability	NOUN
cana-3682	2	13	with	with	ADP
cana-3682	2	14	markov	markov	NOUN
cana-3682	2	15	process	process	NOUN
cana-3682	2	16	methods	method	NOUN
cana-3682	2	17	1anmol	1anmol	NUM
cana-3682	2	18	gupta	gupta	NOUN
cana-3682	2	19	,	,	PUNCT
cana-3682	2	20	2dr	2dr	ADJ
cana-3682	2	21	.	.	PUNCT
cana-3682	3	1	vipin	vipin	PROPN
cana-3682	3	2	kumar	kumar	PROPN
cana-3682	3	3	,	,	PUNCT
cana-3682	3	4	3dr	3dr	PROPN
cana-3682	3	5	.	.	PUNCT
cana-3682	4	1	abhinav	abhinav	PROPN
cana-3682	4	2	saxena	saxena	PROPN
cana-3682	4	3	1research	1research	NUM
cana-3682	4	4	scholar	scholar	NOUN
cana-3682	4	5	,	,	PUNCT
cana-3682	4	6	department	department	NOUN
cana-3682	4	7	of	of	ADP
cana-3682	4	8	mathematics	mathematics	PROPN
cana-3682	4	9	,	,	PUNCT
cana-3682	4	10	teerthanker	teerthanker	NOUN
cana-3682	4	11	mahaveer	mahaveer	PROPN
cana-3682	4	12	university	university	PROPN
cana-3682	4	13	,	,	PUNCT
cana-3682	4	14	moradabad	moradabad	PROPN
cana-3682	4	15	,	,	PUNCT
cana-3682	4	16	india	india	PROPN
cana-3682	4	17	2associate	2associate	PROPN
cana-3682	4	18	professor	professor	NOUN
cana-3682	4	19	,	,	PUNCT
cana-3682	4	20	department	department	NOUN
cana-3682	4	21	of	of	ADP
cana-3682	4	22	mathematics	mathematics	PROPN
cana-3682	4	23	,	,	PUNCT
cana-3682	4	24	teerthanker	teerthanker	NOUN
cana-3682	4	25	mahaveer	mahaveer	PROPN
cana-3682	4	26	university	university	PROPN
cana-3682	4	27	,	,	PUNCT
cana-3682	4	28	moradabad	moradabad	PROPN
cana-3682	4	29	,	,	PUNCT
cana-3682	4	30	india	india	PROPN
cana-3682	4	31	3associate	3associate	NUM
cana-3682	4	32	professor	professor	NOUN
cana-3682	4	33	,	,	PUNCT
cana-3682	4	34	department	department	NOUN
cana-3682	4	35	of	of	ADP
cana-3682	4	36	mathematics	mathematics	PROPN
cana-3682	4	37	,	,	PUNCT
cana-3682	4	38	teerthanker	teerthanker	NOUN
cana-3682	4	39	mahaveer	mahaveer	PROPN
cana-3682	4	40	university	university	PROPN
cana-3682	4	41	,	,	PUNCT
cana-3682	4	42	moradabad	moradabad	PROPN
cana-3682	4	43	,	,	PUNCT
cana-3682	4	44	india	india	PROPN
cana-3682	4	45	email	email	NOUN
cana-3682	4	46	:	:	PUNCT
cana-3682	4	47	1anmolgupta635@gmail.com	1anmolgupta635@gmail.com	NUM
cana-3682	4	48	,	,	PUNCT
cana-3682	4	49	2drvipink.engineering@tmu.ac.in	2drvipink.engineering@tmu.ac.in	NUM
cana-3682	4	50	,	,	PUNCT
cana-3682	4	51	3drabhinav.engineering@tmu.ac.in	3drabhinav.engineering@tmu.ac.in	NUM
cana-3682	4	52	article	article	NOUN
cana-3682	4	53	history	history	NOUN
cana-3682	4	54	:	:	PUNCT
cana-3682	4	55	received	receive	VERB
cana-3682	4	56	:	:	PUNCT
cana-3682	4	57	27	27	NUM
cana-3682	4	58	-	-	SYM
cana-3682	4	59	10	10	NUM
cana-3682	4	60	-	-	PUNCT
cana-3682	4	61	2024	2024	NUM
cana-3682	4	62	revised:29	revised:29	PROPN
cana-3682	4	63	-	-	PUNCT
cana-3682	4	64	11	11	NUM
cana-3682	4	65	-	-	PUNCT
cana-3682	4	66	2024	2024	NUM
cana-3682	4	67	accepted:28	accepted:28	NUM
cana-3682	4	68	-	-	PUNCT
cana-3682	4	69	12	12	NUM
cana-3682	4	70	-	-	PUNCT
cana-3682	4	71	2024	2024	NUM
cana-3682	4	72	abstract	abstract	NOUN
cana-3682	4	73	:	:	PUNCT
cana-3682	4	74	this	this	DET
cana-3682	4	75	paper	paper	NOUN
cana-3682	4	76	concludes	conclude	VERB
cana-3682	4	77	the	the	DET
cana-3682	4	78	mathematical	mathematical	ADJ
cana-3682	4	79	models	model	NOUN
cana-3682	4	80	of	of	ADP
cana-3682	4	81	the	the	DET
cana-3682	4	82	markov	markov	NOUN
cana-3682	4	83	process	process	NOUN
cana-3682	4	84	to	to	PART
cana-3682	4	85	examine	examine	VERB
cana-3682	4	86	the	the	DET
cana-3682	4	87	reliability	reliability	NOUN
cana-3682	4	88	of	of	ADP
cana-3682	4	89	air	air	NOUN
cana-3682	4	90	traffic	traffic	NOUN
cana-3682	4	91	control	control	NOUN
cana-3682	4	92	(	(	PUNCT
cana-3682	4	93	atc	atc	NOUN
cana-3682	4	94	)	)	PUNCT
cana-3682	4	95	systems	system	NOUN
cana-3682	4	96	.	.	PUNCT
cana-3682	5	1	the	the	DET
cana-3682	5	2	safety	safety	NOUN
cana-3682	5	3	and	and	CCONJ
cana-3682	5	4	effectiveness	effectiveness	NOUN
cana-3682	5	5	of	of	ADP
cana-3682	5	6	air	air	NOUN
cana-3682	5	7	travel	travel	NOUN
cana-3682	5	8	depend	depend	VERB
cana-3682	5	9	significantly	significantly	ADV
cana-3682	5	10	on	on	ADP
cana-3682	5	11	reliability	reliability	NOUN
cana-3682	5	12	of	of	ADP
cana-3682	5	13	atc	atc	NOUN
cana-3682	5	14	systems	system	NOUN
cana-3682	5	15	,	,	PUNCT
cana-3682	5	16	making	make	VERB
cana-3682	5	17	it	it	PRON
cana-3682	5	18	necessary	necessary	ADJ
cana-3682	5	19	to	to	PART
cana-3682	5	20	evaluate	evaluate	VERB
cana-3682	5	21	&	&	CCONJ
cana-3682	5	22	enhance	enhance	VERB
cana-3682	5	23	their	their	PRON
cana-3682	5	24	performance	performance	NOUN
cana-3682	5	25	using	use	VERB
cana-3682	5	26	robust	robust	ADJ
cana-3682	5	27	analytical	analytical	ADJ
cana-3682	5	28	techniques	technique	NOUN
cana-3682	5	29	.	.	PUNCT
cana-3682	6	1	we	we	PRON
cana-3682	6	2	use	use	VERB
cana-3682	6	3	continuous	continuous	ADJ
cana-3682	6	4	-	-	PUNCT
cana-3682	6	5	time	time	NOUN
cana-3682	6	6	markov	markov	NOUN
cana-3682	6	7	chains	chain	NOUN
cana-3682	6	8	to	to	PART
cana-3682	6	9	model	model	VERB
cana-3682	6	10	the	the	DET
cana-3682	6	11	different	different	ADJ
cana-3682	6	12	operational	operational	ADJ
cana-3682	6	13	,	,	PUNCT
cana-3682	6	14	failure	failure	NOUN
cana-3682	6	15	states	state	NOUN
cana-3682	6	16	and	and	CCONJ
cana-3682	6	17	degrade	degrade	VERB
cana-3682	6	18	state	state	NOUN
cana-3682	6	19	.	.	PUNCT
cana-3682	7	1	we	we	PRON
cana-3682	7	2	analyse	analyse	VERB
cana-3682	7	3	markov	markov	NOUN
cana-3682	7	4	process	process	NOUN
cana-3682	7	5	alongside	alongside	ADP
cana-3682	7	6	various	various	ADJ
cana-3682	7	7	component	component	NOUN
cana-3682	7	8	failures	failure	NOUN
cana-3682	7	9	and	and	CCONJ
cana-3682	7	10	repairs	repair	NOUN
cana-3682	7	11	of	of	ADP
cana-3682	7	12	the	the	DET
cana-3682	7	13	atc	atc	NOUN
cana-3682	7	14	that	that	PRON
cana-3682	7	15	may	may	AUX
cana-3682	7	16	occur	occur	VERB
cana-3682	7	17	during	during	ADP
cana-3682	7	18	its	its	PRON
cana-3682	7	19	operation	operation	NOUN
cana-3682	7	20	.	.	PUNCT
cana-3682	8	1	to	to	PART
cana-3682	8	2	assess	assess	VERB
cana-3682	8	3	the	the	DET
cana-3682	8	4	system	system	NOUN
cana-3682	8	5	's	's	PART
cana-3682	8	6	performance	performance	NOUN
cana-3682	8	7	,	,	PUNCT
cana-3682	8	8	we	we	PRON
cana-3682	8	9	calculate	calculate	VERB
cana-3682	8	10	reliability	reliability	NOUN
cana-3682	8	11	and	and	CCONJ
cana-3682	8	12	mean	mean	VERB
cana-3682	8	13	time	time	NOUN
cana-3682	8	14	to	to	ADP
cana-3682	8	15	failure	failure	NOUN
cana-3682	8	16	(	(	PUNCT
cana-3682	8	17	mttf	mttf	NOUN
cana-3682	8	18	)	)	PUNCT
cana-3682	8	19	.	.	PUNCT
cana-3682	9	1	sensitivity	sensitivity	NOUN
cana-3682	9	2	analysis	analysis	NOUN
cana-3682	9	3	is	be	AUX
cana-3682	9	4	used	use	VERB
cana-3682	9	5	to	to	PART
cana-3682	9	6	identify	identify	VERB
cana-3682	9	7	the	the	DET
cana-3682	9	8	critical	critical	ADJ
cana-3682	9	9	components	component	NOUN
cana-3682	9	10	of	of	ADP
cana-3682	9	11	the	the	DET
cana-3682	9	12	atc	atc	NOUN
cana-3682	9	13	.	.	PUNCT
cana-3682	10	1	keywords	keyword	NOUN
cana-3682	10	2	:	:	PUNCT
cana-3682	10	3	air	air	NOUN
cana-3682	10	4	traffic	traffic	NOUN
cana-3682	10	5	control	control	NOUN
cana-3682	10	6	(	(	PUNCT
cana-3682	10	7	atc	atc	NOUN
cana-3682	10	8	)	)	PUNCT
cana-3682	10	9	,	,	PUNCT
cana-3682	10	10	markov	markov	NOUN
cana-3682	10	11	process	process	NOUN
cana-3682	10	12	,	,	PUNCT
cana-3682	10	13	reliability	reliability	NOUN
cana-3682	10	14	,	,	PUNCT
cana-3682	10	15	mttf	mttf	NOUN
cana-3682	10	16	,	,	PUNCT
cana-3682	10	17	sensitivity	sensitivity	NOUN
cana-3682	10	18	analysis	analysis	NOUN
cana-3682	10	19	nomenclature	nomenclature	NOUN
cana-3682	10	20	and	and	CCONJ
cana-3682	10	21	system	system	NOUN
cana-3682	10	22	description	description	NOUN
cana-3682	10	23	t	t	PROPN
cana-3682	10	24	time	time	NOUN
cana-3682	10	25	period	period	NOUN
cana-3682	10	26	v	v	ADP
cana-3682	10	27	laplace	laplace	NOUN
cana-3682	10	28	transformation	transformation	NOUN
cana-3682	10	29	variable	variable	NOUN
cana-3682	10	30	𝒙	𝒙	VERB
cana-3682	10	31	a	a	DET
cana-3682	10	32	random	random	ADJ
cana-3682	10	33	variable	variable	NOUN
cana-3682	10	34	representing	represent	VERB
cana-3682	10	35	amount	amount	NOUN
cana-3682	10	36	of	of	ADP
cana-3682	10	37	time	time	NOUN
cana-3682	10	38	taken	take	VERB
cana-3682	10	39	for	for	ADP
cana-3682	10	40	repairs	repair	NOUN
cana-3682	10	41	li	li	PROPN
cana-3682	10	42	(	(	PUNCT
cana-3682	10	43	t	t	PROPN
cana-3682	10	44	)	)	PUNCT
cana-3682	10	45	;	;	PUNCT
cana-3682	10	46	i=0,1,2	i=0,1,2	NUM
cana-3682	10	47	probability	probability	NOUN
cana-3682	10	48	that	that	SCONJ
cana-3682	10	49	atc	atc	ADJ
cana-3682	10	50	system	system	NOUN
cana-3682	10	51	is	be	AUX
cana-3682	10	52	in	in	ADP
cana-3682	10	53	state	state	NOUN
cana-3682	10	54	pi	pi	NOUN
cana-3682	10	55	at	at	ADP
cana-3682	10	56	time	time	NOUN
cana-3682	10	57	t	t	PROPN
cana-3682	10	58	𝑳	𝑳	PROPN
cana-3682	10	59	�	�	PROPN
cana-3682	10	60	̅	̅	NOUN
cana-3682	10	61	�	�	SYM
cana-3682	10	62	(𝒗	(𝒗	NOUN
cana-3682	10	63	)	)	PUNCT
cana-3682	10	64	laplace	laplace	NOUN
cana-3682	10	65	transformation	transformation	NOUN
cana-3682	10	66	of	of	ADP
cana-3682	10	67	li	li	PROPN
cana-3682	10	68	(	(	PUNCT
cana-3682	10	69	t	t	PROPN
cana-3682	10	70	)	)	PUNCT
cana-3682	10	71	li(x	li(x	PROPN
cana-3682	10	72	,	,	PUNCT
cana-3682	10	73	t	t	PROPN
cana-3682	10	74	)	)	PUNCT
cana-3682	10	75	;	;	PUNCT
cana-3682	10	76	i=3,4,5	i=3,4,5	NUM
cana-3682	10	77	probability	probability	NOUN
cana-3682	10	78	that	that	SCONJ
cana-3682	10	79	atc	atc	ADJ
cana-3682	10	80	system	system	NOUN
cana-3682	10	81	is	be	AUX
cana-3682	10	82	in	in	ADP
cana-3682	10	83	state	state	NOUN
cana-3682	10	84	pi	pi	NOUN
cana-3682	10	85	at	at	ADP
cana-3682	10	86	time	time	NOUN
cana-3682	10	87	t	t	PROPN
cana-3682	10	88	𝑳	𝑳	PROPN
cana-3682	10	89	�	�	PROPN
cana-3682	10	90	̅	̅	NOUN
cana-3682	10	91	�	�	NOUN
cana-3682	10	92	(𝒙	(𝒙	NOUN
cana-3682	10	93	,	,	PUNCT
cana-3682	10	94	𝒗	𝒗	NOUN
cana-3682	10	95	)	)	PUNCT
cana-3682	10	96	laplace	laplace	NOUN
cana-3682	10	97	transformation	transformation	NOUN
cana-3682	10	98	of	of	ADP
cana-3682	10	99	li(x	li(x	PROPN
cana-3682	10	100	,	,	PUNCT
cana-3682	10	101	t	t	NOUN
cana-3682	10	102	)	)	PUNCT
cana-3682	10	103	αr	αr	PROPN
cana-3682	10	104	,	,	PUNCT
cana-3682	10	105	αc	αc	PROPN
cana-3682	10	106	,	,	PUNCT
cana-3682	10	107	αd	αd	PROPN
cana-3682	10	108	,	,	PUNCT
cana-3682	10	109	αw	αw	ADP
cana-3682	10	110	,	,	PUNCT
cana-3682	10	111	αco	αco	PROPN
cana-3682	10	112	average	average	ADJ
cana-3682	10	113	rate	rate	NOUN
cana-3682	10	114	of	of	ADP
cana-3682	10	115	failure	failure	NOUN
cana-3682	10	116	of	of	ADP
cana-3682	10	117	radar	radar	NOUN
cana-3682	10	118	systems	system	NOUN
cana-3682	10	119	,	,	PUNCT
cana-3682	10	120	communication	communication	NOUN
cana-3682	10	121	tools	tool	NOUN
cana-3682	10	122	,	,	PUNCT
cana-3682	10	123	data	datum	NOUN
cana-3682	10	124	accuracy	accuracy	NOUN
cana-3682	10	125	system	system	NOUN
cana-3682	10	126	,	,	PUNCT
cana-3682	10	127	weather	weather	NOUN
cana-3682	10	128	information	information	NOUN
cana-3682	10	129	,	,	PUNCT
cana-3682	10	130	coordination	coordination	NOUN
cana-3682	10	131	respectively	respectively	ADV
cana-3682	10	132	βr(𝒙	βr(𝒙	NUM
cana-3682	10	133	)	)	PUNCT
cana-3682	10	134	repair	repair	NOUN
cana-3682	10	135	rate	rate	NOUN
cana-3682	10	136	of	of	ADP
cana-3682	10	137	radar	radar	NOUN
cana-3682	10	138	system	system	NOUN
cana-3682	10	139	βc(𝒙	βc(𝒙	PUNCT
cana-3682	10	140	)	)	PUNCT
cana-3682	10	141	repair	repair	NOUN
cana-3682	10	142	rate	rate	NOUN
cana-3682	10	143	of	of	ADP
cana-3682	10	144	communication	communication	NOUN
cana-3682	10	145	tools	tool	NOUN
cana-3682	10	146	γd(𝒙	γd(𝒙	NOUN
cana-3682	10	147	)	)	PUNCT
cana-3682	10	148	repair	repair	NOUN
cana-3682	10	149	rate	rate	NOUN
cana-3682	10	150	of	of	ADP
cana-3682	10	151	data	datum	NOUN
cana-3682	10	152	accuracy	accuracy	NOUN
cana-3682	10	153	system	system	NOUN
cana-3682	10	154	or	or	CCONJ
cana-3682	10	155	concurrent	concurrent	ADJ
cana-3682	10	156	repair	repair	NOUN
cana-3682	10	157	rate	rate	NOUN
cana-3682	10	158	of	of	ADP
cana-3682	10	159	radar	radar	NOUN
cana-3682	10	160	system	system	NOUN
cana-3682	10	161	,	,	PUNCT
cana-3682	10	162	data	datum	NOUN
cana-3682	10	163	accuracy	accuracy	NOUN
cana-3682	10	164	system	system	NOUN
cana-3682	10	165	and	and	CCONJ
cana-3682	10	166	communication	communication	NOUN
cana-3682	10	167	tools	tool	NOUN
cana-3682	10	168	γw(𝒙	γw(𝒙	NOUN
cana-3682	10	169	)	)	PUNCT
cana-3682	10	170	repair	repair	NOUN
cana-3682	10	171	rate	rate	NOUN
cana-3682	10	172	of	of	ADP
cana-3682	10	173	weather	weather	NOUN
cana-3682	10	174	information	information	NOUN
cana-3682	10	175	or	or	CCONJ
cana-3682	10	176	radar	radar	NOUN
cana-3682	10	177	system	system	NOUN
cana-3682	10	178	,	,	PUNCT
cana-3682	10	179	weather	weather	NOUN
cana-3682	10	180	information	information	NOUN
cana-3682	10	181	and	and	CCONJ
cana-3682	10	182	communication	communication	NOUN
cana-3682	10	183	tools	tool	NOUN
cana-3682	10	184	γco(𝒙	γco(𝒙	NOUN
cana-3682	10	185	)	)	PUNCT
cana-3682	10	186	repair	repair	NOUN
cana-3682	10	187	rate	rate	NOUN
cana-3682	10	188	of	of	ADP
cana-3682	10	189	coordination	coordination	NOUN
cana-3682	10	190	or	or	CCONJ
cana-3682	10	191	radar	radar	NOUN
cana-3682	10	192	system	system	NOUN
cana-3682	10	193	,	,	PUNCT
cana-3682	10	194	coordination	coordination	NOUN
cana-3682	10	195	and	and	CCONJ
cana-3682	10	196	communication	communication	NOUN
cana-3682	10	197	tools	tool	NOUN
cana-3682	10	198	mailto:anmolgupta635@gmail.com	mailto:anmolgupta635@gmail.com	X
cana-3682	10	199	mailto:drvipink.engineering@tmu.ac.in	mailto:drvipink.engineering@tmu.ac.in	X
cana-3682	10	200	mailto:drabhinav.engineering@tmu.ac.in	mailto:drabhinav.engineering@tmu.ac.in	PROPN
cana-3682	10	201	communications	communication	NOUN
cana-3682	10	202	on	on	ADP
cana-3682	10	203	applied	apply	VERB
cana-3682	10	204	nonlinear	nonlinear	ADJ
cana-3682	10	205	analysis	analysis	NOUN
cana-3682	10	206	issn	issn	NOUN
cana-3682	10	207	:	:	PUNCT
cana-3682	10	208	1074	1074	NUM
cana-3682	10	209	-	-	PUNCT
cana-3682	10	210	133x	133x	NUM
cana-3682	10	211	vol	vol	NOUN
cana-3682	10	212	32	32	NUM
cana-3682	10	213	no	no	NOUN
cana-3682	10	214	.	.	PUNCT
cana-3682	11	1	8s	8s	PROPN
cana-3682	11	2	(	(	PUNCT
cana-3682	11	3	2025	2025	NUM
cana-3682	11	4	)	)	PUNCT
cana-3682	11	5	384	384	NUM
cana-3682	11	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3682	11	7	nomenclature	nomenclature	NOUN
cana-3682	11	8	p0	p0	NOUN
cana-3682	11	9	all	all	DET
cana-3682	11	10	systems	system	NOUN
cana-3682	11	11	are	be	AUX
cana-3682	11	12	in	in	ADP
cana-3682	11	13	good	good	ADJ
cana-3682	11	14	state	state	NOUN
cana-3682	11	15	p1	p1	NOUN
cana-3682	11	16	radar	radar	NOUN
cana-3682	11	17	system	system	NOUN
cana-3682	11	18	in	in	ADP
cana-3682	11	19	degrade	degrade	VERB
cana-3682	11	20	state	state	NOUN
cana-3682	11	21	p2	p2	NOUN
cana-3682	11	22	communication	communication	NOUN
cana-3682	11	23	tools	tool	NOUN
cana-3682	11	24	in	in	ADP
cana-3682	11	25	degrade	degrade	VERB
cana-3682	11	26	state	state	NOUN
cana-3682	11	27	p3	p3	PROPN
cana-3682	11	28	radar	radar	NOUN
cana-3682	11	29	system	system	NOUN
cana-3682	11	30	,	,	PUNCT
cana-3682	11	31	data	datum	NOUN
cana-3682	11	32	accuracy	accuracy	NOUN
cana-3682	11	33	system	system	NOUN
cana-3682	11	34	and	and	CCONJ
cana-3682	11	35	communication	communication	NOUN
cana-3682	11	36	tools	tool	NOUN
cana-3682	11	37	are	be	AUX
cana-3682	11	38	failed	fail	VERB
cana-3682	11	39	p4	p4	ADJ
cana-3682	11	40	radar	radar	NOUN
cana-3682	11	41	system	system	NOUN
cana-3682	11	42	,	,	PUNCT
cana-3682	11	43	weather	weather	NOUN
cana-3682	11	44	information	information	NOUN
cana-3682	11	45	and	and	CCONJ
cana-3682	11	46	communication	communication	NOUN
cana-3682	11	47	tools	tool	NOUN
cana-3682	11	48	are	be	AUX
cana-3682	11	49	failed	fail	VERB
cana-3682	11	50	p5	p5	ADJ
cana-3682	11	51	radar	radar	NOUN
cana-3682	11	52	system	system	NOUN
cana-3682	11	53	,	,	PUNCT
cana-3682	11	54	coordination	coordination	NOUN
cana-3682	11	55	and	and	CCONJ
cana-3682	11	56	communication	communication	NOUN
cana-3682	11	57	tools	tool	NOUN
cana-3682	11	58	are	be	AUX
cana-3682	11	59	failed	fail	VERB
cana-3682	11	60	system	system	NOUN
cana-3682	11	61	description	description	NOUN
cana-3682	11	62	1	1	NUM
cana-3682	11	63	.	.	PUNCT
cana-3682	12	1	introduction	introduction	NOUN
cana-3682	12	2	the	the	DET
cana-3682	12	3	reliability	reliability	NOUN
cana-3682	12	4	of	of	ADP
cana-3682	12	5	air	air	NOUN
cana-3682	12	6	traffic	traffic	NOUN
cana-3682	12	7	control	control	NOUN
cana-3682	12	8	(	(	PUNCT
cana-3682	12	9	atc	atc	NOUN
cana-3682	12	10	)	)	PUNCT
cana-3682	12	11	systems	system	NOUN
cana-3682	12	12	is	be	AUX
cana-3682	12	13	critical	critical	ADJ
cana-3682	12	14	to	to	ADP
cana-3682	12	15	ensuring	ensure	VERB
cana-3682	12	16	safety	safety	NOUN
cana-3682	12	17	and	and	CCONJ
cana-3682	12	18	efficiency	efficiency	NOUN
cana-3682	12	19	of	of	ADP
cana-3682	12	20	air	air	NOUN
cana-3682	12	21	transportation	transportation	NOUN
cana-3682	12	22	.	.	PUNCT
cana-3682	13	1	with	with	ADP
cana-3682	13	2	increasing	increase	VERB
cana-3682	13	3	complexity	complexity	NOUN
cana-3682	13	4	of	of	ADP
cana-3682	13	5	air	air	NOUN
cana-3682	13	6	traffic	traffic	NOUN
cana-3682	13	7	networks	network	NOUN
cana-3682	13	8	and	and	CCONJ
cana-3682	13	9	demand	demand	NOUN
cana-3682	13	10	for	for	ADP
cana-3682	13	11	higher	high	ADJ
cana-3682	13	12	capacity	capacity	NOUN
cana-3682	13	13	and	and	CCONJ
cana-3682	13	14	better	well	ADJ
cana-3682	13	15	performance	performance	NOUN
cana-3682	13	16	,	,	PUNCT
cana-3682	13	17	evaluating	evaluate	VERB
cana-3682	13	18	and	and	CCONJ
cana-3682	13	19	enhancing	enhance	VERB
cana-3682	13	20	reliability	reliability	NOUN
cana-3682	13	21	of	of	ADP
cana-3682	13	22	atc	atc	NOUN
cana-3682	13	23	systems	system	NOUN
cana-3682	13	24	has	have	AUX
cana-3682	13	25	become	become	VERB
cana-3682	13	26	a	a	DET
cana-3682	13	27	focal	focal	ADJ
cana-3682	13	28	point	point	NOUN
cana-3682	13	29	of	of	ADP
cana-3682	13	30	research	research	NOUN
cana-3682	13	31	and	and	CCONJ
cana-3682	13	32	development	development	NOUN
cana-3682	13	33	.	.	PUNCT
cana-3682	14	1	markov	markov	NOUN
cana-3682	14	2	process	process	NOUN
cana-3682	14	3	methods	method	NOUN
cana-3682	14	4	,	,	PUNCT
cana-3682	14	5	known	know	VERB
cana-3682	14	6	for	for	ADP
cana-3682	14	7	their	their	PRON
cana-3682	14	8	robust	robust	ADJ
cana-3682	14	9	ability	ability	NOUN
cana-3682	14	10	to	to	PART
cana-3682	14	11	model	model	VERB
cana-3682	14	12	stochastic	stochastic	ADJ
cana-3682	14	13	systems	system	NOUN
cana-3682	14	14	,	,	PUNCT
cana-3682	14	15	offer	offer	VERB
cana-3682	14	16	a	a	DET
cana-3682	14	17	promising	promising	ADJ
cana-3682	14	18	approach	approach	NOUN
cana-3682	14	19	to	to	ADP
cana-3682	14	20	analysing	analyse	VERB
cana-3682	14	21	reliability	reliability	NOUN
cana-3682	14	22	of	of	ADP
cana-3682	14	23	atc	atc	ADJ
cana-3682	14	24	systems	system	NOUN
cana-3682	14	25	.	.	PUNCT
cana-3682	15	1	by	by	ADP
cana-3682	15	2	employing	employ	VERB
cana-3682	15	3	markov	markov	NOUN
cana-3682	15	4	processes	process	NOUN
cana-3682	15	5	,	,	PUNCT
cana-3682	15	6	researchers	researcher	NOUN
cana-3682	15	7	can	can	AUX
cana-3682	15	8	create	create	VERB
cana-3682	15	9	models	model	NOUN
cana-3682	15	10	that	that	PRON
cana-3682	15	11	accurately	accurately	ADV
cana-3682	15	12	represent	represent	VERB
cana-3682	15	13	various	various	ADJ
cana-3682	15	14	states	state	NOUN
cana-3682	15	15	and	and	CCONJ
cana-3682	15	16	transitions	transition	NOUN
cana-3682	15	17	of	of	ADP
cana-3682	15	18	an	an	DET
cana-3682	15	19	atc	atc	ADJ
cana-3682	15	20	system	system	NOUN
cana-3682	15	21	,	,	PUNCT
cana-3682	15	22	accounting	account	VERB
cana-3682	15	23	for	for	ADP
cana-3682	15	24	both	both	CCONJ
cana-3682	15	25	predictable	predictable	ADJ
cana-3682	15	26	and	and	CCONJ
cana-3682	15	27	random	random	ADJ
cana-3682	15	28	events	event	NOUN
cana-3682	15	29	that	that	PRON
cana-3682	15	30	may	may	AUX
cana-3682	15	31	affect	affect	VERB
cana-3682	15	32	system	system	NOUN
cana-3682	15	33	performance	performance	NOUN
cana-3682	15	34	.	.	PUNCT
cana-3682	16	1	this	this	DET
cana-3682	16	2	method	method	NOUN
cana-3682	16	3	allows	allow	VERB
cana-3682	16	4	for	for	ADP
cana-3682	16	5	a	a	DET
cana-3682	16	6	more	more	ADV
cana-3682	16	7	comprehensive	comprehensive	ADJ
cana-3682	16	8	analysis	analysis	NOUN
cana-3682	16	9	,	,	PUNCT
cana-3682	16	10	facilitating	facilitate	VERB
cana-3682	16	11	identification	identification	NOUN
cana-3682	16	12	of	of	ADP
cana-3682	16	13	potential	potential	ADJ
cana-3682	16	14	failure	failure	NOUN
cana-3682	16	15	points	point	NOUN
cana-3682	16	16	and	and	CCONJ
cana-3682	16	17	development	development	NOUN
cana-3682	16	18	of	of	ADP
cana-3682	16	19	strategies	strategy	NOUN
cana-3682	16	20	to	to	PART
cana-3682	16	21	mitigate	mitigate	VERB
cana-3682	16	22	risks	risk	NOUN
cana-3682	16	23	.	.	PUNCT
cana-3682	17	1	we	we	PRON
cana-3682	17	2	will	will	AUX
cana-3682	17	3	begin	begin	VERB
cana-3682	17	4	by	by	ADP
cana-3682	17	5	discussing	discuss	VERB
cana-3682	17	6	fundamental	fundamental	ADJ
cana-3682	17	7	principles	principle	NOUN
cana-3682	17	8	of	of	ADP
cana-3682	17	9	markov	markov	NOUN
cana-3682	17	10	processes	process	NOUN
cana-3682	17	11	and	and	CCONJ
cana-3682	17	12	their	their	PRON
cana-3682	17	13	relevance	relevance	NOUN
cana-3682	17	14	to	to	ADP
cana-3682	17	15	atc	atc	NOUN
cana-3682	17	16	systems	system	NOUN
cana-3682	17	17	.	.	PUNCT
cana-3682	18	1	following	follow	VERB
cana-3682	18	2	this	this	PRON
cana-3682	18	3	,	,	PUNCT
cana-3682	18	4	we	we	PRON
cana-3682	18	5	will	will	AUX
cana-3682	18	6	delve	delve	VERB
cana-3682	18	7	into	into	ADP
cana-3682	18	8	the	the	DET
cana-3682	18	9	construction	construction	NOUN
cana-3682	18	10	of	of	ADP
cana-3682	18	11	markov	markov	NOUN
cana-3682	18	12	models	model	NOUN
cana-3682	18	13	tailored	tailor	VERB
cana-3682	18	14	to	to	ADP
cana-3682	18	15	specific	specific	ADJ
cana-3682	18	16	components	component	NOUN
cana-3682	18	17	of	of	ADP
cana-3682	18	18	atc	atc	ADJ
cana-3682	18	19	systems	system	NOUN
cana-3682	18	20	,	,	PUNCT
cana-3682	18	21	including	include	VERB
cana-3682	18	22	radar	radar	NOUN
cana-3682	18	23	systems	system	NOUN
cana-3682	18	24	,	,	PUNCT
cana-3682	18	25	communication	communication	NOUN
cana-3682	18	26	networks	network	NOUN
cana-3682	18	27	,	,	PUNCT
cana-3682	18	28	weather	weather	NOUN
cana-3682	18	29	information	information	NOUN
cana-3682	18	30	,	,	PUNCT
cana-3682	18	31	data	datum	NOUN
cana-3682	18	32	accuracy	accuracy	NOUN
cana-3682	18	33	system	system	NOUN
cana-3682	18	34	and	and	CCONJ
cana-3682	18	35	coordination	coordination	NOUN
cana-3682	18	36	system	system	NOUN
cana-3682	18	37	.	.	PUNCT
cana-3682	19	1	by	by	ADP
cana-3682	19	2	applying	apply	VERB
cana-3682	19	3	these	these	DET
cana-3682	19	4	models	model	NOUN
cana-3682	19	5	,	,	PUNCT
cana-3682	19	6	we	we	PRON
cana-3682	19	7	aim	aim	VERB
cana-3682	19	8	to	to	PART
cana-3682	19	9	quantify	quantify	VERB
cana-3682	19	10	system	system	NOUN
cana-3682	19	11	reliability	reliability	NOUN
cana-3682	19	12	,	,	PUNCT
cana-3682	19	13	identify	identify	VERB
cana-3682	19	14	critical	critical	ADJ
cana-3682	19	15	vulnerabilities	vulnerability	NOUN
cana-3682	19	16	,	,	PUNCT
cana-3682	19	17	and	and	CCONJ
cana-3682	19	18	propose	propose	VERB
cana-3682	19	19	improvements	improvement	NOUN
cana-3682	19	20	to	to	PART
cana-3682	19	21	enhance	enhance	VERB
cana-3682	19	22	overall	overall	ADJ
cana-3682	19	23	system	system	NOUN
cana-3682	19	24	resilience	resilience	NOUN
cana-3682	19	25	.	.	PUNCT
cana-3682	20	1	through	through	ADP
cana-3682	20	2	this	this	DET
cana-3682	20	3	research	research	NOUN
cana-3682	20	4	,	,	PUNCT
cana-3682	20	5	we	we	PRON
cana-3682	20	6	seek	seek	VERB
cana-3682	20	7	to	to	PART
cana-3682	20	8	contribute	contribute	VERB
cana-3682	20	9	to	to	ADP
cana-3682	20	10	the	the	DET
cana-3682	20	11	body	body	NOUN
cana-3682	20	12	of	of	ADP
cana-3682	20	13	knowledge	knowledge	NOUN
cana-3682	20	14	in	in	ADP
cana-3682	20	15	field	field	NOUN
cana-3682	20	16	of	of	ADP
cana-3682	20	17	air	air	NOUN
cana-3682	20	18	traffic	traffic	NOUN
cana-3682	20	19	management	management	NOUN
cana-3682	20	20	and	and	CCONJ
cana-3682	20	21	provide	provide	VERB
cana-3682	20	22	practical	practical	ADJ
cana-3682	20	23	insights	insight	NOUN
cana-3682	20	24	for	for	ADP
cana-3682	20	25	enhancing	enhance	VERB
cana-3682	20	26	the	the	DET
cana-3682	20	27	safety	safety	NOUN
cana-3682	20	28	and	and	CCONJ
cana-3682	20	29	reliability	reliability	NOUN
cana-3682	20	30	of	of	ADP
cana-3682	20	31	air	air	NOUN
cana-3682	20	32	traffic	traffic	NOUN
cana-3682	20	33	control	control	NOUN
cana-3682	20	34	operations	operation	NOUN
cana-3682	20	35	.	.	PUNCT
cana-3682	21	1	many	many	ADJ
cana-3682	21	2	authors	author	NOUN
cana-3682	21	3	used	use	VERB
cana-3682	21	4	different	different	ADJ
cana-3682	21	5	methods	method	NOUN
cana-3682	21	6	,	,	PUNCT
cana-3682	21	7	for	for	ADP
cana-3682	21	8	e.g	e.g	PROPN
cana-3682	21	9	markov	markov	NOUN
cana-3682	21	10	process	process	NOUN
cana-3682	21	11	[	[	X
cana-3682	21	12	1	1	NUM
cana-3682	21	13	]	]	PUNCT
cana-3682	21	14	,	,	PUNCT
cana-3682	21	15	[	[	X
cana-3682	21	16	2	2	NUM
cana-3682	21	17	]	]	PUNCT
cana-3682	21	18	,	,	PUNCT
cana-3682	21	19	[	[	X
cana-3682	21	20	3	3	NUM
cana-3682	21	21	]	]	PUNCT
cana-3682	21	22	,	,	PUNCT
cana-3682	21	23	with	with	ADP
cana-3682	21	24	help	help	NOUN
cana-3682	21	25	of	of	ADP
cana-3682	21	26	fuzzy	fuzzy	ADJ
cana-3682	21	27	approach	approach	NOUN
cana-3682	21	28	[	[	X
cana-3682	21	29	4	4	NUM
cana-3682	21	30	]	]	PUNCT
cana-3682	21	31	,	,	PUNCT
cana-3682	21	32	[	[	X
cana-3682	21	33	5	5	NUM
cana-3682	21	34	]	]	PUNCT
cana-3682	21	35	,	,	PUNCT
cana-3682	21	36	[	[	X
cana-3682	21	37	6	6	NUM
cana-3682	21	38	]	]	PUNCT
cana-3682	21	39	,	,	PUNCT
cana-3682	21	40	fta	fta	X
cana-3682	21	41	(	(	PUNCT
cana-3682	21	42	fault	fault	VERB
cana-3682	21	43	tree	tree	NOUN
cana-3682	21	44	analysis	analysis	NOUN
cana-3682	21	45	)	)	PUNCT
cana-3682	22	1	[	[	X
cana-3682	22	2	7	7	NUM
cana-3682	22	3	]	]	PUNCT
cana-3682	22	4	,	,	PUNCT
cana-3682	22	5	[	[	X
cana-3682	22	6	8	8	NUM
cana-3682	22	7	]	]	PUNCT
cana-3682	22	8	,	,	PUNCT
cana-3682	22	9	[	[	X
cana-3682	22	10	9	9	NUM
cana-3682	22	11	]	]	PUNCT
cana-3682	22	12	and	and	CCONJ
cana-3682	22	13	many	many	ADJ
cana-3682	22	14	more	more	ADJ
cana-3682	22	15	for	for	ADP
cana-3682	22	16	industrial	industrial	ADJ
cana-3682	22	17	system	system	NOUN
cana-3682	22	18	like	like	ADP
cana-3682	22	19	as	as	ADP
cana-3682	22	20	sugar	sugar	NOUN
cana-3682	22	21	mill	mill	NOUN
cana-3682	22	22	[	[	X
cana-3682	22	23	10	10	NUM
cana-3682	22	24	]	]	PUNCT
cana-3682	22	25	,	,	PUNCT
cana-3682	22	26	[	[	X
cana-3682	22	27	11	11	NUM
cana-3682	22	28	]	]	PUNCT
cana-3682	22	29	,	,	PUNCT
cana-3682	22	30	and	and	CCONJ
cana-3682	22	31	npp	npp	PROPN
cana-3682	22	32	(	(	PUNCT
cana-3682	22	33	nuclear	nuclear	ADJ
cana-3682	22	34	power	power	NOUN
cana-3682	22	35	plant	plant	NOUN
cana-3682	22	36	)	)	PUNCT
cana-3682	23	1	[	[	X
cana-3682	23	2	12	12	NUM
cana-3682	23	3	]	]	PUNCT
cana-3682	23	4	,	,	PUNCT
cana-3682	23	5	[	[	X
cana-3682	23	6	13	13	NUM
cana-3682	23	7	]	]	PUNCT
cana-3682	23	8	and	and	CCONJ
cana-3682	23	9	many	many	ADJ
cana-3682	23	10	more	more	ADJ
cana-3682	23	11	.	.	PUNCT
cana-3682	24	1	the	the	DET
cana-3682	24	2	markov	markov	NOUN
cana-3682	24	3	process	process	NOUN
cana-3682	24	4	and	and	CCONJ
cana-3682	24	5	mathematical	mathematical	ADJ
cana-3682	24	6	modeling	modeling	NOUN
cana-3682	24	7	are	be	AUX
cana-3682	24	8	used	use	VERB
cana-3682	24	9	to	to	PART
cana-3682	24	10	assess	assess	VERB
cana-3682	24	11	availability	availability	NOUN
cana-3682	24	12	,	,	PUNCT
cana-3682	24	13	mean	mean	VERB
cana-3682	24	14	time	time	NOUN
cana-3682	24	15	to	to	ADP
cana-3682	24	16	failure	failure	NOUN
cana-3682	24	17	(	(	PUNCT
cana-3682	24	18	mttf	mttf	NOUN
cana-3682	24	19	)	)	PUNCT
cana-3682	24	20	,	,	PUNCT
cana-3682	24	21	and	and	CCONJ
cana-3682	24	22	reliability	reliability	NOUN
cana-3682	24	23	of	of	ADP
cana-3682	24	24	a	a	DET
cana-3682	24	25	casting	cast	VERB
cana-3682	24	26	process	process	NOUN
cana-3682	24	27	.	.	PUNCT
cana-3682	25	1	author	author	NOUN
cana-3682	25	2	also	also	ADV
cana-3682	25	3	used	use	VERB
cana-3682	25	4	sensitivity	sensitivity	NOUN
cana-3682	25	5	analysis	analysis	NOUN
cana-3682	25	6	to	to	PART
cana-3682	25	7	pinpoint	pinpoint	VERB
cana-3682	25	8	essential	essential	ADJ
cana-3682	25	9	elements	element	NOUN
cana-3682	25	10	of	of	ADP
cana-3682	25	11	casting	cast	VERB
cana-3682	25	12	method	method	NOUN
cana-3682	25	13	[	[	X
cana-3682	25	14	14	14	NUM
cana-3682	25	15	]	]	PUNCT
cana-3682	25	16	.	.	PUNCT
cana-3682	26	1	building	build	VERB
cana-3682	26	2	on	on	ADP
cana-3682	26	3	the	the	DET
cana-3682	26	4	previously	previously	ADV
cana-3682	26	5	mentioned	mention	VERB
cana-3682	26	6	research	research	NOUN
cana-3682	26	7	,	,	PUNCT
cana-3682	26	8	authors	author	NOUN
cana-3682	26	9	of	of	ADP
cana-3682	26	10	this	this	DET
cana-3682	26	11	study	study	NOUN
cana-3682	26	12	aimed	aim	VERB
cana-3682	26	13	to	to	PART
cana-3682	26	14	investigate	investigate	VERB
cana-3682	26	15	the	the	DET
cana-3682	26	16	air	air	NOUN
cana-3682	26	17	traffic	traffic	NOUN
cana-3682	26	18	control	control	NOUN
cana-3682	26	19	(	(	PUNCT
cana-3682	26	20	atc	atc	NOUN
cana-3682	26	21	)	)	PUNCT
cana-3682	26	22	system	system	NOUN
cana-3682	26	23	,	,	PUNCT
cana-3682	26	24	one	one	NUM
cana-3682	26	25	of	of	ADP
cana-3682	26	26	the	the	DET
cana-3682	26	27	most	most	ADV
cana-3682	26	28	critical	critical	ADJ
cana-3682	26	29	components	component	NOUN
cana-3682	26	30	in	in	ADP
cana-3682	26	31	aviation	aviation	NOUN
cana-3682	26	32	,	,	PUNCT
cana-3682	26	33	by	by	ADP
cana-3682	26	34	employing	employ	VERB
cana-3682	26	35	mathematical	mathematical	ADJ
cana-3682	26	36	modeling	modeling	NOUN
cana-3682	26	37	and	and	CCONJ
cana-3682	26	38	the	the	DET
cana-3682	26	39	markov	markov	NOUN
cana-3682	26	40	process	process	NOUN
cana-3682	26	41	to	to	PART
cana-3682	26	42	assess	assess	VERB
cana-3682	26	43	its	its	PRON
cana-3682	26	44	mean	mean	ADJ
cana-3682	26	45	time	time	NOUN
cana-3682	26	46	to	to	ADP
cana-3682	26	47	failure	failure	NOUN
cana-3682	26	48	(	(	PUNCT
cana-3682	26	49	mttf	mttf	NOUN
cana-3682	26	50	)	)	PUNCT
cana-3682	26	51	and	and	CCONJ
cana-3682	26	52	reliability	reliability	NOUN
cana-3682	26	53	.	.	PUNCT
cana-3682	27	1	for	for	ADP
cana-3682	27	2	this	this	DET
cana-3682	27	3	analysis	analysis	NOUN
cana-3682	27	4	,	,	PUNCT
cana-3682	27	5	they	they	PRON
cana-3682	27	6	focused	focus	VERB
cana-3682	27	7	on	on	ADP
cana-3682	27	8	the	the	DET
cana-3682	27	9	radar	radar	NOUN
cana-3682	27	10	system	system	NOUN
cana-3682	27	11	,	,	PUNCT
cana-3682	27	12	data	datum	NOUN
cana-3682	27	13	accuracy	accuracy	NOUN
cana-3682	27	14	system	system	NOUN
cana-3682	27	15	,	,	PUNCT
cana-3682	27	16	weather	weather	NOUN
cana-3682	27	17	information	information	NOUN
cana-3682	27	18	,	,	PUNCT
cana-3682	27	19	coordination	coordination	NOUN
cana-3682	27	20	tools	tool	NOUN
cana-3682	27	21	,	,	PUNCT
cana-3682	27	22	and	and	CCONJ
cana-3682	27	23	communication	communication	NOUN
cana-3682	27	24	tools	tool	NOUN
cana-3682	27	25	of	of	ADP
cana-3682	27	26	the	the	DET
cana-3682	27	27	atc	atc	NOUN
cana-3682	27	28	.	.	PUNCT
cana-3682	28	1	2	2	X
cana-3682	28	2	.	.	X
cana-3682	28	3	system	system	NOUN
cana-3682	28	4	description	description	NOUN
cana-3682	28	5	this	this	DET
cana-3682	28	6	system	system	NOUN
cana-3682	28	7	consists	consist	VERB
cana-3682	28	8	of	of	ADP
cana-3682	28	9	multiple	multiple	ADJ
cana-3682	28	10	interconnected	interconnected	ADJ
cana-3682	28	11	subsystems	subsystem	NOUN
cana-3682	28	12	and	and	CCONJ
cana-3682	28	13	components	component	NOUN
cana-3682	28	14	,	,	PUNCT
cana-3682	28	15	each	each	PRON
cana-3682	28	16	contributing	contribute	VERB
cana-3682	28	17	significantly	significantly	ADV
cana-3682	28	18	to	to	ADP
cana-3682	28	19	its	its	PRON
cana-3682	28	20	overall	overall	ADJ
cana-3682	28	21	functionality	functionality	NOUN
cana-3682	28	22	and	and	CCONJ
cana-3682	28	23	safety	safety	NOUN
cana-3682	28	24	.	.	PUNCT
cana-3682	29	1	the	the	DET
cana-3682	29	2	main	main	ADJ
cana-3682	29	3	components	component	NOUN
cana-3682	29	4	of	of	ADP
cana-3682	29	5	the	the	DET
cana-3682	29	6	atc	atc	ADJ
cana-3682	29	7	system	system	NOUN
cana-3682	29	8	include	include	VERB
cana-3682	29	9	:	:	PUNCT
cana-3682	29	10	o	o	NOUN
cana-3682	29	11	radar	radar	NOUN
cana-3682	29	12	system	system	NOUN
cana-3682	29	13	:	:	PUNCT
cana-3682	29	14	this	this	DET
cana-3682	29	15	subsystem	subsystem	NOUN
cana-3682	29	16	is	be	AUX
cana-3682	29	17	essential	essential	ADJ
cana-3682	29	18	for	for	ADP
cana-3682	29	19	tracking	track	VERB
cana-3682	29	20	the	the	DET
cana-3682	29	21	real	real	ADJ
cana-3682	29	22	-	-	PUNCT
cana-3682	29	23	time	time	NOUN
cana-3682	29	24	position	position	NOUN
cana-3682	29	25	of	of	ADP
cana-3682	29	26	aircraft	aircraft	NOUN
cana-3682	29	27	.	.	PUNCT
cana-3682	30	1	communications	communication	NOUN
cana-3682	30	2	on	on	ADP
cana-3682	30	3	applied	apply	VERB
cana-3682	30	4	nonlinear	nonlinear	ADJ
cana-3682	30	5	analysis	analysis	NOUN
cana-3682	30	6	issn	issn	NOUN
cana-3682	30	7	:	:	PUNCT
cana-3682	30	8	1074	1074	NUM
cana-3682	30	9	-	-	PUNCT
cana-3682	30	10	133x	133x	NUM
cana-3682	30	11	vol	vol	NOUN
cana-3682	30	12	32	32	NUM
cana-3682	30	13	no	no	NOUN
cana-3682	30	14	.	.	PUNCT
cana-3682	31	1	8s	8s	PROPN
cana-3682	31	2	(	(	PUNCT
cana-3682	31	3	2025	2025	NUM
cana-3682	31	4	)	)	PUNCT
cana-3682	31	5	385	385	NUM
cana-3682	31	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3682	31	7	o	o	NOUN
cana-3682	31	8	communication	communication	NOUN
cana-3682	31	9	tools	tool	NOUN
cana-3682	31	10	:	:	PUNCT
cana-3682	31	11	these	these	PRON
cana-3682	31	12	include	include	VERB
cana-3682	31	13	various	various	ADJ
cana-3682	31	14	communication	communication	NOUN
cana-3682	31	15	technologies	technology	NOUN
cana-3682	31	16	used	use	VERB
cana-3682	31	17	for	for	ADP
cana-3682	31	18	voice	voice	NOUN
cana-3682	31	19	and	and	CCONJ
cana-3682	31	20	data	datum	NOUN
cana-3682	31	21	transmission	transmission	NOUN
cana-3682	31	22	between	between	ADP
cana-3682	31	23	air	air	NOUN
cana-3682	31	24	traffic	traffic	NOUN
cana-3682	31	25	controllers	controller	NOUN
cana-3682	31	26	and	and	CCONJ
cana-3682	31	27	pilots	pilot	NOUN
cana-3682	31	28	.	.	PUNCT
cana-3682	32	1	o	o	NOUN
cana-3682	32	2	data	datum	NOUN
cana-3682	32	3	accuracy	accuracy	NOUN
cana-3682	32	4	system	system	NOUN
cana-3682	32	5	:	:	PUNCT
cana-3682	32	6	this	this	DET
cana-3682	32	7	component	component	NOUN
cana-3682	32	8	ensures	ensure	VERB
cana-3682	32	9	the	the	DET
cana-3682	32	10	precision	precision	NOUN
cana-3682	32	11	and	and	CCONJ
cana-3682	32	12	reliability	reliability	NOUN
cana-3682	32	13	of	of	ADP
cana-3682	32	14	the	the	DET
cana-3682	32	15	data	datum	NOUN
cana-3682	32	16	collected	collect	VERB
cana-3682	32	17	and	and	CCONJ
cana-3682	32	18	processed	process	VERB
cana-3682	32	19	by	by	ADP
cana-3682	32	20	the	the	DET
cana-3682	32	21	atc	atc	NOUN
cana-3682	32	22	.	.	PUNCT
cana-3682	33	1	o	o	PROPN
cana-3682	33	2	weather	weather	NOUN
cana-3682	33	3	information	information	NOUN
cana-3682	33	4	system	system	NOUN
cana-3682	33	5	:	:	PUNCT
cana-3682	33	6	this	this	DET
cana-3682	33	7	subsystem	subsystem	NOUN
cana-3682	33	8	provides	provide	VERB
cana-3682	33	9	critical	critical	ADJ
cana-3682	33	10	meteorological	meteorological	ADJ
cana-3682	33	11	data	datum	NOUN
cana-3682	33	12	,	,	PUNCT
cana-3682	33	13	including	include	VERB
cana-3682	33	14	weather	weather	NOUN
cana-3682	33	15	forecasts	forecast	NOUN
cana-3682	33	16	,	,	PUNCT
cana-3682	33	17	current	current	ADJ
cana-3682	33	18	weather	weather	NOUN
cana-3682	33	19	conditions	condition	NOUN
cana-3682	33	20	,	,	PUNCT
cana-3682	33	21	and	and	CCONJ
cana-3682	33	22	potential	potential	ADJ
cana-3682	33	23	hazards	hazard	NOUN
cana-3682	33	24	.	.	PUNCT
cana-3682	34	1	accurate	accurate	ADJ
cana-3682	34	2	weather	weather	NOUN
cana-3682	34	3	information	information	NOUN
cana-3682	34	4	is	be	AUX
cana-3682	34	5	crucial	crucial	ADJ
cana-3682	34	6	for	for	ADP
cana-3682	34	7	flight	flight	NOUN
cana-3682	34	8	planning	planning	NOUN
cana-3682	34	9	and	and	CCONJ
cana-3682	34	10	safe	safe	ADJ
cana-3682	34	11	aircraft	aircraft	NOUN
cana-3682	34	12	operation	operation	NOUN
cana-3682	34	13	.	.	PUNCT
cana-3682	35	1	o	o	NOUN
cana-3682	35	2	coordination	coordination	NOUN
cana-3682	35	3	tools	tool	NOUN
cana-3682	35	4	:	:	PUNCT
cana-3682	35	5	these	these	DET
cana-3682	35	6	tools	tool	NOUN
cana-3682	35	7	facilitate	facilitate	VERB
cana-3682	35	8	effective	effective	ADJ
cana-3682	35	9	communication	communication	NOUN
cana-3682	35	10	and	and	CCONJ
cana-3682	35	11	coordination	coordination	NOUN
cana-3682	35	12	between	between	ADP
cana-3682	35	13	different	different	ADJ
cana-3682	35	14	atc	atc	ADJ
cana-3682	35	15	units	unit	NOUN
cana-3682	35	16	and	and	CCONJ
cana-3682	35	17	with	with	ADP
cana-3682	35	18	the	the	DET
cana-3682	35	19	aircraft	aircraft	NOUN
cana-3682	35	20	.	.	PUNCT
cana-3682	36	1	assumptions	assumption	NOUN
cana-3682	36	2	•	•	ADV
cana-3682	36	3	starting	starting	NOUN
cana-3682	36	4	phase	phase	NOUN
cana-3682	36	5	all	all	DET
cana-3682	36	6	the	the	DET
cana-3682	36	7	systems	system	NOUN
cana-3682	36	8	are	be	AUX
cana-3682	36	9	in	in	ADP
cana-3682	36	10	good	good	ADJ
cana-3682	36	11	state	state	NOUN
cana-3682	36	12	.	.	PUNCT
cana-3682	37	1	•	•	INTJ
cana-3682	37	2	it	it	PRON
cana-3682	37	3	is	be	AUX
cana-3682	37	4	not	not	PART
cana-3682	37	5	possible	possible	ADJ
cana-3682	37	6	for	for	SCONJ
cana-3682	37	7	the	the	DET
cana-3682	37	8	atc	atc	NOUN
cana-3682	37	9	to	to	PART
cana-3682	37	10	fail	fail	VERB
cana-3682	37	11	simultaneously	simultaneously	ADV
cana-3682	37	12	.	.	PUNCT
cana-3682	38	1	•	•	ADV
cana-3682	38	2	there	there	PRON
cana-3682	38	3	is	be	VERB
cana-3682	38	4	always	always	ADV
cana-3682	38	5	a	a	DET
cana-3682	38	6	repair	repair	NOUN
cana-3682	38	7	facility	facility	NOUN
cana-3682	38	8	accessible	accessible	ADJ
cana-3682	38	9	.	.	PUNCT
cana-3682	39	1	•	•	NUM
cana-3682	39	2	when	when	SCONJ
cana-3682	39	3	one	one	NUM
cana-3682	39	4	of	of	ADP
cana-3682	39	5	the	the	DET
cana-3682	39	6	atc	atc	NOUN
cana-3682	39	7	's	's	PART
cana-3682	39	8	components	component	NOUN
cana-3682	39	9	fails	fail	VERB
cana-3682	39	10	,	,	PUNCT
cana-3682	39	11	the	the	DET
cana-3682	39	12	system	system	NOUN
cana-3682	39	13	becomes	become	VERB
cana-3682	39	14	failed	fail	VERB
cana-3682	39	15	or	or	CCONJ
cana-3682	39	16	degraded	degraded	ADJ
cana-3682	39	17	.	.	PUNCT
cana-3682	40	1	•	•	INTJ
cana-3682	40	2	it	it	PRON
cana-3682	40	3	is	be	AUX
cana-3682	40	4	assumed	assume	VERB
cana-3682	40	5	that	that	SCONJ
cana-3682	40	6	average	average	ADJ
cana-3682	40	7	failures	failure	NOUN
cana-3682	40	8	are	be	AUX
cana-3682	40	9	constant	constant	ADJ
cana-3682	40	10	.	.	PUNCT
cana-3682	41	1	state	state	NOUN
cana-3682	41	2	transition	transition	NOUN
cana-3682	41	3	diagram	diagram	NOUN
cana-3682	41	4	figure	figure	NOUN
cana-3682	41	5	1	1	NUM
cana-3682	41	6	:	:	PUNCT
cana-3682	41	7	state	state	NOUN
cana-3682	41	8	transition	transition	NOUN
cana-3682	41	9	diagram	diagram	NOUN
cana-3682	41	10	3	3	NUM
cana-3682	41	11	.	.	PUNCT
cana-3682	41	12	mathematical	mathematical	ADJ
cana-3682	41	13	representation	representation	NOUN
cana-3682	41	14	and	and	CCONJ
cana-3682	41	15	it	it	PRON
cana-3682	41	16	’s	’	VERB
cana-3682	41	17	solution	solution	NOUN
cana-3682	41	18	assuming	assume	VERB
cana-3682	41	19	state	state	NOUN
cana-3682	41	20	transition	transition	NOUN
cana-3682	41	21	diagram	diagram	NOUN
cana-3682	41	22	(	(	PUNCT
cana-3682	41	23	fig	fig	NOUN
cana-3682	41	24	1	1	NUM
cana-3682	41	25	)	)	PUNCT
cana-3682	41	26	with	with	ADP
cana-3682	41	27	the	the	DET
cana-3682	41	28	time	time	NOUN
cana-3682	41	29	(	(	PUNCT
cana-3682	41	30	t	t	NOUN
cana-3682	41	31	,	,	PUNCT
cana-3682	41	32	t+δt	t+δt	PROPN
cana-3682	41	33	)	)	PUNCT
cana-3682	41	34	and	and	CCONJ
cana-3682	41	35	δt	δt	X
cana-3682	41	36	0	0	NUM
cana-3682	41	37	and	and	CCONJ
cana-3682	41	38	with	with	ADP
cana-3682	41	39	help	help	NOUN
cana-3682	41	40	of	of	ADP
cana-3682	41	41	kolmogorov	kolmogorov	ADJ
cana-3682	41	42	forward	forward	ADJ
cana-3682	41	43	equation	equation	NOUN
cana-3682	41	44	and	and	CCONJ
cana-3682	41	45	markov	markov	NOUN
cana-3682	41	46	process	process	NOUN
cana-3682	41	47	,	,	PUNCT
cana-3682	41	48	we	we	PRON
cana-3682	41	49	make	make	VERB
cana-3682	41	50	a	a	DET
cana-3682	41	51	differential	differential	ADJ
cana-3682	41	52	integral	integral	ADJ
cana-3682	41	53	equation	equation	NOUN
cana-3682	41	54	:	:	PUNCT
cana-3682	41	55	(	(	PUNCT
cana-3682	41	56	𝜕	𝜕	NOUN
cana-3682	41	57	𝜕𝑡	𝜕𝑡	NOUN
cana-3682	41	58	+	+	NOUN
cana-3682	41	59	𝛼𝑟	𝛼𝑟	PROPN
cana-3682	42	1	+	+	CCONJ
cana-3682	42	2	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	42	3	+	+	NOUN
cana-3682	42	4	𝛼𝑑	𝛼𝑑	PROPN
cana-3682	42	5	+	+	CCONJ
cana-3682	42	6	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	42	7	+	+	CCONJ
cana-3682	42	8	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	42	9	)	)	PUNCT
cana-3682	42	10	𝐿0(𝑡	𝐿0(𝑡	PUNCT
cana-3682	42	11	)	)	PUNCT
cana-3682	43	1	=	=	PUNCT
cana-3682	43	2	𝛽𝑟(𝑥)𝐿1(𝑡	𝛽𝑟(𝑥)𝐿1(𝑡	PROPN
cana-3682	43	3	)	)	PUNCT
cana-3682	43	4	+	+	CCONJ
cana-3682	43	5	𝛽𝑐(𝑥)𝐿2(𝑡	𝛽𝑐(𝑥)𝐿2(𝑡	PROPN
cana-3682	43	6	)	)	PUNCT
cana-3682	43	7	+	+	CCONJ
cana-3682	43	8	∫	∫	X
cana-3682	43	9	γd	γd	ADP
cana-3682	43	10	∞	∞	PROPN
cana-3682	43	11	0	0	NUM
cana-3682	44	1	(	(	PUNCT
cana-3682	45	1	𝑥)𝐿3(𝑥	𝑥)𝐿3(𝑥	ADJ
cana-3682	45	2	,	,	PUNCT
cana-3682	45	3	𝑡)𝑑𝑥	𝑡)𝑑𝑥	PROPN
cana-3682	45	4	+	+	CCONJ
cana-3682	45	5	∫	∫	X
cana-3682	45	6	γd	γd	ADP
cana-3682	45	7	∞	∞	PROPN
cana-3682	45	8	0	0	NUM
cana-3682	45	9	(	(	PUNCT
cana-3682	45	10	𝑥)𝐿4(𝑥,𝑡)𝑑𝑥	𝑥)𝐿4(𝑥,𝑡)𝑑𝑥	ADJ
cana-3682	45	11	+	+	CCONJ
cana-3682	45	12	∫	∫	X
cana-3682	45	13	γd	γd	ADP
cana-3682	45	14	∞	∞	PROPN
cana-3682	45	15	0	0	NUM
cana-3682	46	1	(	(	PUNCT
cana-3682	46	2	𝑥)𝐿5(𝑥,𝑡)𝑑𝑥	𝑥)𝐿5(𝑥,𝑡)𝑑𝑥	NOUN
cana-3682	46	3	(	(	PUNCT
cana-3682	46	4	1	1	X
cana-3682	46	5	)	)	PUNCT
cana-3682	46	6	communications	communication	NOUN
cana-3682	46	7	on	on	ADP
cana-3682	46	8	applied	apply	VERB
cana-3682	46	9	nonlinear	nonlinear	ADJ
cana-3682	46	10	analysis	analysis	NOUN
cana-3682	46	11	issn	issn	NOUN
cana-3682	46	12	:	:	PUNCT
cana-3682	46	13	1074	1074	NUM
cana-3682	46	14	-	-	PUNCT
cana-3682	46	15	133x	133x	NUM
cana-3682	46	16	vol	vol	NOUN
cana-3682	46	17	32	32	NUM
cana-3682	46	18	no	no	NOUN
cana-3682	46	19	.	.	PUNCT
cana-3682	47	1	8s	8s	PROPN
cana-3682	47	2	(	(	PUNCT
cana-3682	47	3	2025	2025	NUM
cana-3682	47	4	)	)	PUNCT
cana-3682	47	5	386	386	NUM
cana-3682	47	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3682	47	7	(	(	PUNCT
cana-3682	47	8	𝜕	𝜕	PROPN
cana-3682	47	9	𝜕𝑡	𝜕𝑡	PROPN
cana-3682	47	10	+	+	CCONJ
cana-3682	47	11	𝛽𝑟(𝑥	𝛽𝑟(𝑥	NUM
cana-3682	47	12	)	)	PUNCT
cana-3682	48	1	+	+	X
cana-3682	48	2	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	48	3	+	+	NOUN
cana-3682	48	4	𝛼𝑑	𝛼𝑑	PROPN
cana-3682	48	5	+	+	CCONJ
cana-3682	48	6	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	48	7	+	+	CCONJ
cana-3682	48	8	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	48	9	)	)	PUNCT
cana-3682	48	10	𝐿1(𝑡	𝐿1(𝑡	PROPN
cana-3682	48	11	)	)	PUNCT
cana-3682	49	1	=	=	SYM
cana-3682	49	2	𝛽𝑟(𝑥)𝐿2(𝑡	𝛽𝑟(𝑥)𝐿2(𝑡	NOUN
cana-3682	49	3	)	)	PUNCT
cana-3682	49	4	+	+	CCONJ
cana-3682	50	1	𝛼𝑟(𝑥)𝐿0(𝑡	𝛼𝑟(𝑥)𝐿0(𝑡	VERB
cana-3682	50	2	)	)	PUNCT
cana-3682	50	3	(	(	PUNCT
cana-3682	50	4	2	2	X
cana-3682	50	5	)	)	PUNCT
cana-3682	50	6	(	(	PUNCT
cana-3682	50	7	𝜕	𝜕	PROPN
cana-3682	50	8	𝜕𝑡	𝜕𝑡	PROPN
cana-3682	50	9	+	+	CCONJ
cana-3682	50	10	𝛽𝑐(𝑥	𝛽𝑐(𝑥	NUM
cana-3682	50	11	)	)	PUNCT
cana-3682	50	12	+	+	NUM
cana-3682	50	13	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	50	14	+	+	NOUN
cana-3682	50	15	𝛼𝑑	𝛼𝑑	PROPN
cana-3682	50	16	+	+	CCONJ
cana-3682	50	17	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	50	18	+	+	CCONJ
cana-3682	50	19	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	50	20	)	)	PUNCT
cana-3682	50	21	𝐿2	𝐿2	NOUN
cana-3682	50	22	(	(	PUNCT
cana-3682	50	23	𝑡	𝑡	NOUN
cana-3682	50	24	)	)	PUNCT
cana-3682	50	25	=	=	SYM
cana-3682	50	26	𝛽𝑐(𝑥)𝐿2	𝛽𝑐(𝑥)𝐿2	PROPN
cana-3682	50	27	(	(	PUNCT
cana-3682	50	28	𝑡	𝑡	NOUN
cana-3682	50	29	)	)	PUNCT
cana-3682	50	30	+	+	CCONJ
cana-3682	50	31	𝛼𝑐(𝑥)𝐿0(𝑡	𝛼𝑐(𝑥)𝐿0(𝑡	VERB
cana-3682	50	32	)	)	PUNCT
cana-3682	50	33	(	(	PUNCT
cana-3682	50	34	3	3	X
cana-3682	50	35	)	)	PUNCT
cana-3682	50	36	(	(	PUNCT
cana-3682	50	37	𝜕	𝜕	NOUN
cana-3682	50	38	𝜕𝑥	𝜕𝑥	X
cana-3682	50	39	+	+	CCONJ
cana-3682	50	40	𝜕	𝜕	PROPN
cana-3682	50	41	𝜕𝑡	𝜕𝑡	NOUN
cana-3682	50	42	+	+	NUM
cana-3682	50	43	γ𝑑	γ𝑑	PROPN
cana-3682	50	44	(	(	PUNCT
cana-3682	50	45	𝑥))𝐿3(𝑥	𝑥))𝐿3(𝑥	NUM
cana-3682	50	46	,	,	PUNCT
cana-3682	50	47	𝑡	𝑡	X
cana-3682	50	48	)	)	PUNCT
cana-3682	50	49	=	=	SYM
cana-3682	50	50	0	0	NUM
cana-3682	50	51	(	(	PUNCT
cana-3682	50	52	4	4	NUM
cana-3682	50	53	)	)	PUNCT
cana-3682	50	54	(	(	PUNCT
cana-3682	50	55	𝜕	𝜕	NOUN
cana-3682	50	56	𝜕𝑥	𝜕𝑥	X
cana-3682	50	57	+	+	CCONJ
cana-3682	50	58	𝜕	𝜕	PROPN
cana-3682	50	59	𝜕𝑡	𝜕𝑡	NOUN
cana-3682	50	60	+	+	NUM
cana-3682	50	61	γ𝑤(𝑥	γ𝑤(𝑥	NUM
cana-3682	50	62	)	)	PUNCT
cana-3682	50	63	)	)	PUNCT
cana-3682	51	1	𝐿4(𝑥,𝑡	𝐿4(𝑥,𝑡	X
cana-3682	51	2	)	)	PUNCT
cana-3682	51	3	=	=	SYM
cana-3682	51	4	0	0	PUNCT
cana-3682	52	1	(	(	PUNCT
cana-3682	52	2	5	5	NUM
cana-3682	52	3	)	)	PUNCT
cana-3682	52	4	(	(	PUNCT
cana-3682	52	5	𝜕	𝜕	NOUN
cana-3682	52	6	𝜕𝑥	𝜕𝑥	X
cana-3682	52	7	+	+	CCONJ
cana-3682	52	8	𝜕	𝜕	PROPN
cana-3682	52	9	𝜕𝑡	𝜕𝑡	NOUN
cana-3682	52	10	+	+	CCONJ
cana-3682	52	11	γ𝑐𝑜(𝑥	γ𝑐𝑜(𝑥	NOUN
cana-3682	52	12	)	)	PUNCT
cana-3682	52	13	)	)	PUNCT
cana-3682	53	1	𝐿5(𝑥,𝑡	𝐿5(𝑥,𝑡	PROPN
cana-3682	53	2	)	)	PUNCT
cana-3682	54	1	=	=	SYM
cana-3682	54	2	0	0	PUNCT
cana-3682	54	3	(	(	PUNCT
cana-3682	54	4	6	6	NUM
cana-3682	54	5	)	)	PUNCT
cana-3682	54	6	boundary	boundary	ADJ
cana-3682	54	7	and	and	CCONJ
cana-3682	54	8	initial	initial	ADJ
cana-3682	54	9	condition	condition	NOUN
cana-3682	54	10	𝐿3(0	𝐿3(0	NOUN
cana-3682	54	11	,	,	PUNCT
cana-3682	54	12	𝑡	𝑡	X
cana-3682	54	13	)	)	PUNCT
cana-3682	54	14	=	=	PUNCT
cana-3682	54	15	𝛼𝑑[𝐿0(𝑡	𝛼𝑑[𝐿0(𝑡	NUM
cana-3682	54	16	)	)	PUNCT
cana-3682	54	17	+	+	NUM
cana-3682	54	18	𝐿1(𝑡	𝐿1(𝑡	X
cana-3682	54	19	)	)	PUNCT
cana-3682	55	1	+	+	CCONJ
cana-3682	55	2	𝐿2(𝑡	𝐿2(𝑡	X
cana-3682	55	3	)	)	PUNCT
cana-3682	55	4	]	]	PUNCT
cana-3682	55	5	(	(	PUNCT
cana-3682	55	6	7	7	X
cana-3682	55	7	)	)	PUNCT
cana-3682	55	8	𝐿4(0	𝐿4(0	NOUN
cana-3682	55	9	,	,	PUNCT
cana-3682	55	10	𝑡	𝑡	NOUN
cana-3682	55	11	)	)	PUNCT
cana-3682	55	12	=	=	SYM
cana-3682	56	1	𝛼𝑤[𝐿0(𝑡	𝛼𝑤[𝐿0(𝑡	NUM
cana-3682	56	2	)	)	PUNCT
cana-3682	57	1	+	+	NUM
cana-3682	57	2	𝐿1(𝑡	𝐿1(𝑡	X
cana-3682	57	3	)	)	PUNCT
cana-3682	58	1	+	+	CCONJ
cana-3682	58	2	𝐿2(𝑡	𝐿2(𝑡	X
cana-3682	58	3	)	)	PUNCT
cana-3682	58	4	]	]	PUNCT
cana-3682	58	5	(	(	PUNCT
cana-3682	58	6	8)	8)	NUM
cana-3682	58	7	𝐿5(0	𝐿5(0	ADJ
cana-3682	58	8	,	,	PUNCT
cana-3682	58	9	𝑡	𝑡	NOUN
cana-3682	58	10	)	)	PUNCT
cana-3682	58	11	=	=	SYM
cana-3682	58	12	𝛼𝑐𝑜[𝐿0(𝑡	𝛼𝑐𝑜[𝐿0(𝑡	X
cana-3682	58	13	)	)	PUNCT
cana-3682	58	14	+	+	NUM
cana-3682	58	15	𝐿1(𝑡	𝐿1(𝑡	X
cana-3682	58	16	)	)	PUNCT
cana-3682	59	1	+	+	CCONJ
cana-3682	59	2	𝐿2(𝑡	𝐿2(𝑡	X
cana-3682	59	3	)	)	PUNCT
cana-3682	59	4	]	]	PUNCT
cana-3682	59	5	(	(	PUNCT
cana-3682	59	6	9	9	X
cana-3682	59	7	)	)	PUNCT
cana-3682	59	8	𝐿	𝐿	NOUN
cana-3682	59	9	𝑖(𝑡	𝑖(𝑡	PROPN
cana-3682	59	10	)	)	PUNCT
cana-3682	59	11	=	=	PRON
cana-3682	59	12	{	{	PUNCT
cana-3682	59	13	1	1	NUM
cana-3682	59	14	,	,	PUNCT
cana-3682	59	15	𝑖𝑓	𝑖𝑓	ADP
cana-3682	59	16	𝑖	𝑖	X
cana-3682	59	17	=	=	PUNCT
cana-3682	59	18	𝑡	𝑡	X
cana-3682	59	19	=	=	SYM
cana-3682	59	20	0	0	NUM
cana-3682	59	21	0	0	NUM
cana-3682	59	22	,	,	PUNCT
cana-3682	59	23	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒	NOUN
cana-3682	59	24	(	(	PUNCT
cana-3682	59	25	10	10	NUM
cana-3682	59	26	)	)	PUNCT
cana-3682	59	27	now	now	ADV
cana-3682	59	28	taking	take	VERB
cana-3682	59	29	laplace	laplace	NOUN
cana-3682	59	30	transformation	transformation	NOUN
cana-3682	59	31	for	for	ADP
cana-3682	59	32	equation	equation	NOUN
cana-3682	59	33	(	(	PUNCT
cana-3682	59	34	1	1	NUM
cana-3682	59	35	)	)	PUNCT
cana-3682	59	36	to	to	ADP
cana-3682	59	37	(	(	PUNCT
cana-3682	59	38	6	6	NUM
cana-3682	59	39	)	)	PUNCT
cana-3682	59	40	and	and	CCONJ
cana-3682	59	41	taken	take	VERB
cana-3682	59	42	help	help	NOUN
cana-3682	59	43	of	of	ADP
cana-3682	59	44	boundary	boundary	ADJ
cana-3682	59	45	condition	condition	NOUN
cana-3682	59	46	and	and	CCONJ
cana-3682	59	47	initial	initial	ADJ
cana-3682	59	48	condition	condition	NOUN
cana-3682	59	49	(	(	PUNCT
cana-3682	59	50	𝑠	𝑠	PROPN
cana-3682	60	1	+	+	NUM
cana-3682	60	2	𝛼𝑟	𝛼𝑟	PROPN
cana-3682	61	1	+	+	CCONJ
cana-3682	61	2	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	61	3	+	+	NOUN
cana-3682	61	4	𝛼𝑑	𝛼𝑑	PROPN
cana-3682	61	5	+	+	CCONJ
cana-3682	61	6	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	61	7	+	+	X
cana-3682	61	8	𝛼𝑐𝑜)𝐿0(𝑡	𝛼𝑐𝑜)𝐿0(𝑡	PROPN
cana-3682	61	9	)	)	PUNCT
cana-3682	61	10	=	=	SYM
cana-3682	61	11	𝛽𝑟(𝑥)𝐿1(𝑡	𝛽𝑟(𝑥)𝐿1(𝑡	PROPN
cana-3682	61	12	)	)	PUNCT
cana-3682	61	13	+	+	SYM
cana-3682	61	14	𝛽𝑐(𝑥)	𝛽𝑐(𝑥)	NOUN
cana-3682	61	15	�	�	NOUN
cana-3682	61	16	̅	̅	NOUN
cana-3682	61	17	�	�	NOUN
cana-3682	61	18	2(𝑡	2(𝑡	NUM
cana-3682	61	19	)	)	PUNCT
cana-3682	62	1	+	+	CCONJ
cana-3682	62	2	∫	∫	X
cana-3682	62	3	γd	γd	ADP
cana-3682	62	4	∞	∞	PROPN
cana-3682	62	5	0	0	NUM
cana-3682	63	1	(	(	PUNCT
cana-3682	63	2	𝑥)𝐿3(𝑥,𝑡)𝑑𝑥	𝑥)𝐿3(𝑥,𝑡)𝑑𝑥	NOUN
cana-3682	63	3	+	+	CCONJ
cana-3682	64	1	∫	∫	X
cana-3682	65	1	γd	γd	ADP
cana-3682	65	2	∞	∞	PROPN
cana-3682	65	3	0	0	NUM
cana-3682	65	4	(	(	PUNCT
cana-3682	65	5	𝑥)𝐿4(𝑥,𝑡)𝑑𝑥	𝑥)𝐿4(𝑥,𝑡)𝑑𝑥	ADJ
cana-3682	65	6	+	+	CCONJ
cana-3682	65	7	∫	∫	X
cana-3682	65	8	γd	γd	ADP
cana-3682	65	9	∞	∞	PROPN
cana-3682	65	10	0	0	NUM
cana-3682	65	11	(	(	PUNCT
cana-3682	65	12	𝑥)	𝑥)	NOUN
cana-3682	65	13	�	�	NOUN
cana-3682	65	14	̅	̅	NOUN
cana-3682	65	15	�	�	NOUN
cana-3682	65	16	5(𝑥	5(𝑥	NUM
cana-3682	65	17	,	,	PUNCT
cana-3682	65	18	𝑡)𝑑𝑥	𝑡)𝑑𝑥	PROPN
cana-3682	65	19	(	(	PUNCT
cana-3682	65	20	11	11	NUM
cana-3682	65	21	)	)	PUNCT
cana-3682	65	22	(	(	PUNCT
cana-3682	65	23	𝑠	𝑠	X
cana-3682	65	24	+	+	CCONJ
cana-3682	65	25	𝛽𝑟(𝑥	𝛽𝑟(𝑥	NUM
cana-3682	65	26	)	)	PUNCT
cana-3682	66	1	+	+	X
cana-3682	66	2	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	66	3	+	+	NOUN
cana-3682	66	4	𝛼𝑑	𝛼𝑑	PROPN
cana-3682	66	5	+	+	CCONJ
cana-3682	66	6	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	66	7	+	+	X
cana-3682	66	8	𝛼𝑐𝑜)	𝛼𝑐𝑜)	NUM
cana-3682	66	9	�	�	NOUN
cana-3682	66	10	̅	̅	NOUN
cana-3682	66	11	�	�	NOUN
cana-3682	66	12	1(𝑡	1(𝑡	NUM
cana-3682	66	13	)	)	PUNCT
cana-3682	66	14	=	=	PUNCT
cana-3682	66	15	𝛽𝑟(𝑥)	𝛽𝑟(𝑥)	NUM
cana-3682	66	16	�	�	NOUN
cana-3682	66	17	̅	̅	NOUN
cana-3682	66	18	�	�	NOUN
cana-3682	66	19	2(𝑡	2(𝑡	NUM
cana-3682	66	20	)	)	PUNCT
cana-3682	66	21	+	+	CCONJ
cana-3682	66	22	𝛼𝑟(𝑥)	𝛼𝑟(𝑥)	NUM
cana-3682	66	23	�	�	SYM
cana-3682	66	24	̅	̅	NOUN
cana-3682	66	25	�	�	NOUN
cana-3682	66	26	0(𝑡	0(𝑡	NUM
cana-3682	66	27	)	)	PUNCT
cana-3682	66	28	(	(	PUNCT
cana-3682	66	29	12	12	NUM
cana-3682	66	30	)	)	PUNCT
cana-3682	66	31	(	(	PUNCT
cana-3682	66	32	𝑠	𝑠	PROPN
cana-3682	66	33	+	+	CCONJ
cana-3682	66	34	𝛽𝑐(𝑥	𝛽𝑐(𝑥	NUM
cana-3682	66	35	)	)	PUNCT
cana-3682	67	1	+	+	NUM
cana-3682	67	2	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	67	3	+	+	NOUN
cana-3682	67	4	𝛼𝑑	𝛼𝑑	PROPN
cana-3682	67	5	+	+	CCONJ
cana-3682	67	6	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	67	7	+	+	CCONJ
cana-3682	67	8	𝛼𝑐𝑜)𝐿2(𝑡	𝛼𝑐𝑜)𝐿2(𝑡	ADJ
cana-3682	67	9	)	)	PUNCT
cana-3682	67	10	=	=	SYM
cana-3682	67	11	𝛽𝑐(𝑥)	𝛽𝑐(𝑥)	NOUN
cana-3682	67	12	�	�	NOUN
cana-3682	67	13	̅	̅	NOUN
cana-3682	67	14	�	�	NOUN
cana-3682	67	15	2(𝑡	2(𝑡	NUM
cana-3682	67	16	)	)	PUNCT
cana-3682	67	17	+	+	NUM
cana-3682	67	18	𝛼𝑐(𝑥)	𝛼𝑐(𝑥)	NUM
cana-3682	67	19	�	�	NOUN
cana-3682	67	20	̅	̅	NOUN
cana-3682	67	21	�	�	NOUN
cana-3682	67	22	0(𝑡	0(𝑡	NUM
cana-3682	67	23	)	)	PUNCT
cana-3682	67	24	(	(	PUNCT
cana-3682	67	25	13	13	NUM
cana-3682	67	26	)	)	PUNCT
cana-3682	67	27	(	(	PUNCT
cana-3682	67	28	𝜕	𝜕	NOUN
cana-3682	67	29	𝜕𝑥	𝜕𝑥	NOUN
cana-3682	67	30	+	+	CCONJ
cana-3682	67	31	𝑠	𝑠	PROPN
cana-3682	67	32	+	+	NUM
cana-3682	67	33	γ𝑑(𝑥	γ𝑑(𝑥	NUM
cana-3682	67	34	)	)	PUNCT
cana-3682	67	35	)	)	PUNCT
cana-3682	68	1	𝐿3	𝐿3	NOUN
cana-3682	68	2	(	(	PUNCT
cana-3682	68	3	𝑥	𝑥	NOUN
cana-3682	68	4	,	,	PUNCT
cana-3682	68	5	𝑡	𝑡	PROPN
cana-3682	68	6	)	)	PUNCT
cana-3682	68	7	=	=	SYM
cana-3682	68	8	0	0	NUM
cana-3682	69	1	(	(	PUNCT
cana-3682	69	2	14	14	NUM
cana-3682	69	3	)	)	PUNCT
cana-3682	69	4	(	(	PUNCT
cana-3682	69	5	𝜕	𝜕	NOUN
cana-3682	69	6	𝜕𝑥	𝜕𝑥	NOUN
cana-3682	69	7	+	+	CCONJ
cana-3682	69	8	𝑠	𝑠	PROPN
cana-3682	69	9	+	+	ADJ
cana-3682	69	10	γ𝑤(𝑥	γ𝑤(𝑥	NUM
cana-3682	69	11	)	)	PUNCT
cana-3682	69	12	)	)	PUNCT
cana-3682	69	13	𝐿4(𝑥	𝐿4(𝑥	NOUN
cana-3682	69	14	,	,	PUNCT
cana-3682	69	15	𝑡	𝑡	PROPN
cana-3682	69	16	)	)	PUNCT
cana-3682	69	17	=	=	SYM
cana-3682	69	18	0	0	NUM
cana-3682	69	19	(	(	PUNCT
cana-3682	69	20	15	15	NUM
cana-3682	69	21	)	)	PUNCT
cana-3682	69	22	(	(	PUNCT
cana-3682	69	23	𝜕	𝜕	NOUN
cana-3682	69	24	𝜕𝑥	𝜕𝑥	NOUN
cana-3682	69	25	+	+	CCONJ
cana-3682	69	26	𝑠	𝑠	X
cana-3682	69	27	+	+	ADJ
cana-3682	69	28	γ𝑐𝑜(𝑥	γ𝑐𝑜(𝑥	NOUN
cana-3682	69	29	)	)	PUNCT
cana-3682	69	30	)	)	PUNCT
cana-3682	70	1	𝐿5(𝑥	𝐿5(𝑥	NOUN
cana-3682	70	2	,	,	PUNCT
cana-3682	70	3	𝑡	𝑡	NOUN
cana-3682	70	4	)	)	PUNCT
cana-3682	70	5	=	=	SYM
cana-3682	70	6	0	0	PUNCT
cana-3682	70	7	(	(	PUNCT
cana-3682	70	8	16	16	NUM
cana-3682	70	9	)	)	PUNCT
cana-3682	70	10	now	now	ADV
cana-3682	70	11	solving	solve	VERB
cana-3682	70	12	equation	equation	NOUN
cana-3682	70	13	(	(	PUNCT
cana-3682	70	14	11	11	NUM
cana-3682	70	15	)	)	PUNCT
cana-3682	70	16	to	to	ADP
cana-3682	70	17	(	(	PUNCT
cana-3682	70	18	16	16	NUM
cana-3682	70	19	)	)	PUNCT
cana-3682	70	20	with	with	ADP
cana-3682	70	21	the	the	DET
cana-3682	70	22	help	help	NOUN
cana-3682	70	23	of	of	ADP
cana-3682	70	24	boundary	boundary	ADJ
cana-3682	70	25	and	and	CCONJ
cana-3682	70	26	initial	initial	ADJ
cana-3682	70	27	condition	condition	NOUN
cana-3682	70	28	and	and	CCONJ
cana-3682	70	29	system	system	NOUN
cana-3682	70	30	of	of	ADP
cana-3682	70	31	linear	linear	ADJ
cana-3682	70	32	equation	equation	NOUN
cana-3682	70	33	to	to	PART
cana-3682	70	34	find	find	VERB
cana-3682	70	35	out	out	ADP
cana-3682	70	36	the	the	DET
cana-3682	70	37	value	value	NOUN
cana-3682	70	38	of	of	ADP
cana-3682	70	39	l0(t	l0(t	PROPN
cana-3682	70	40	)	)	PUNCT
cana-3682	70	41	,	,	PUNCT
cana-3682	70	42	l1(t	l1(t	PROPN
cana-3682	70	43	)	)	PUNCT
cana-3682	70	44	,	,	PUNCT
cana-3682	70	45	l2(t	l2(t	PROPN
cana-3682	70	46	):	):	PUNCT
cana-3682	70	47	𝐿	𝐿	PROPN
cana-3682	70	48	𝑜(𝑠	𝑜(𝑠	PROPN
cana-3682	70	49	)	)	PUNCT
cana-3682	70	50	=	=	SYM
cana-3682	70	51	1	1	NUM
cana-3682	70	52	𝐶5−	𝐶5−	NUM
cana-3682	70	53	𝛼𝑑	𝛼𝑑	NOUN
cana-3682	70	54	𝛤𝑑	𝛤𝑑	PROPN
cana-3682	70	55	(	(	PUNCT
cana-3682	70	56	𝑥	𝑥	NOUN
cana-3682	70	57	)	)	PUNCT
cana-3682	70	58	𝑠+𝛤𝑑	𝑠+𝛤𝑑	NOUN
cana-3682	70	59	(	(	PUNCT
cana-3682	70	60	𝑥	𝑥	NOUN
cana-3682	70	61	)	)	PUNCT
cana-3682	70	62	−	−	PROPN
cana-3682	70	63	𝛼𝑤	𝛼𝑤	INTJ
cana-3682	70	64	𝛤𝑤	𝛤𝑤	PROPN
cana-3682	70	65	(	(	PUNCT
cana-3682	70	66	𝑥	𝑥	NOUN
cana-3682	70	67	)	)	PUNCT
cana-3682	70	68	𝑠+𝛤𝑤	𝑠+𝛤𝑤	PROPN
cana-3682	70	69	(	(	PUNCT
cana-3682	70	70	𝑥	𝑥	NOUN
cana-3682	70	71	)	)	PUNCT
cana-3682	70	72	−	−	PROPN
cana-3682	70	73	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	70	74	𝛤𝑤	𝛤𝑤	PROPN
cana-3682	70	75	(	(	PUNCT
cana-3682	70	76	𝑥	𝑥	NOUN
cana-3682	70	77	)	)	PUNCT
cana-3682	70	78	𝑠+𝛤𝑤	𝑠+𝛤𝑤	PROPN
cana-3682	70	79	(	(	PUNCT
cana-3682	70	80	𝑥	𝑥	NOUN
cana-3682	70	81	)	)	PUNCT
cana-3682	70	82	−	−	PROPN
cana-3682	70	83	𝐶3	𝐶3	PROPN
cana-3682	70	84	𝐶4	𝐶4	NOUN
cana-3682	70	85	(	(	PUNCT
cana-3682	70	86	𝛽𝑟(𝑥	𝛽𝑟(𝑥	NOUN
cana-3682	70	87	)	)	PUNCT
cana-3682	71	1	+	+	CCONJ
cana-3682	71	2	𝛼𝑑	𝛼𝑑	PROPN
cana-3682	71	3	𝛤𝑑	𝛤𝑑	PROPN
cana-3682	71	4	(	(	PUNCT
cana-3682	71	5	𝑥	𝑥	NOUN
cana-3682	71	6	)	)	PUNCT
cana-3682	71	7	𝑠+𝛤𝑑	𝑠+𝛤𝑑	NOUN
cana-3682	71	8	(	(	PUNCT
cana-3682	71	9	𝑥	𝑥	NOUN
cana-3682	71	10	)	)	PUNCT
cana-3682	71	11	+	+	NUM
cana-3682	71	12	𝛼𝑤	𝛼𝑤	VERB
cana-3682	71	13	𝛤𝑤	𝛤𝑤	PROPN
cana-3682	71	14	(	(	PUNCT
cana-3682	71	15	𝑥	𝑥	NOUN
cana-3682	71	16	)	)	PUNCT
cana-3682	71	17	𝑠+𝛤𝑤	𝑠+𝛤𝑤	PROPN
cana-3682	71	18	(	(	PUNCT
cana-3682	71	19	𝑥	𝑥	NOUN
cana-3682	71	20	)	)	PUNCT
cana-3682	71	21	+	+	CCONJ
cana-3682	71	22	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	71	23	𝛤𝑤	𝛤𝑤	PROPN
cana-3682	71	24	(	(	PUNCT
cana-3682	71	25	𝑥	𝑥	NOUN
cana-3682	71	26	)	)	PUNCT
cana-3682	71	27	𝑠+𝛤𝑤	𝑠+𝛤𝑤	PROPN
cana-3682	71	28	(	(	PUNCT
cana-3682	71	29	𝑥	𝑥	NOUN
cana-3682	71	30	)	)	PUNCT
cana-3682	71	31	)	)	PUNCT
cana-3682	71	32	−	−	PROPN
cana-3682	71	33	(	(	PUNCT
cana-3682	71	34	𝛽𝑟(𝑥)𝐶3	𝛽𝑟(𝑥)𝐶3	X
cana-3682	71	35	𝐶1𝐶4	𝐶1𝐶4	PROPN
cana-3682	71	36	+	+	CCONJ
cana-3682	71	37	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	71	38	𝐶1	𝐶1	NOUN
cana-3682	71	39	)	)	PUNCT
cana-3682	71	40	(	(	PUNCT
cana-3682	71	41	𝛽𝑐(𝑥	𝛽𝑐(𝑥	NUM
cana-3682	71	42	)	)	PUNCT
cana-3682	72	1	+	+	PROPN
cana-3682	72	2	+	+	PROPN
cana-3682	72	3	𝛼𝑑	𝛼𝑑	NOUN
cana-3682	72	4	𝛤𝑑	𝛤𝑑	PROPN
cana-3682	72	5	(	(	PUNCT
cana-3682	72	6	𝑥	𝑥	NOUN
cana-3682	72	7	)	)	PUNCT
cana-3682	72	8	𝑠+𝛤𝑑	𝑠+𝛤𝑑	NOUN
cana-3682	72	9	(	(	PUNCT
cana-3682	72	10	𝑥	𝑥	NOUN
cana-3682	72	11	)	)	PUNCT
cana-3682	73	1	+	+	NUM
cana-3682	73	2	𝛼𝑤	𝛼𝑤	VERB
cana-3682	73	3	𝛤𝑤	𝛤𝑤	PROPN
cana-3682	73	4	(	(	PUNCT
cana-3682	73	5	𝑥	𝑥	NOUN
cana-3682	73	6	)	)	PUNCT
cana-3682	73	7	𝑠+𝛤𝑤	𝑠+𝛤𝑤	PROPN
cana-3682	73	8	(	(	PUNCT
cana-3682	73	9	𝑥	𝑥	NOUN
cana-3682	73	10	)	)	PUNCT
cana-3682	73	11	+	+	CCONJ
cana-3682	73	12	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	73	13	𝛤𝑤	𝛤𝑤	PROPN
cana-3682	73	14	(	(	PUNCT
cana-3682	73	15	𝑥	𝑥	NOUN
cana-3682	73	16	)	)	PUNCT
cana-3682	73	17	𝑠+𝛤𝑤	𝑠+𝛤𝑤	PROPN
cana-3682	73	18	(	(	PUNCT
cana-3682	73	19	𝑥	𝑥	NOUN
cana-3682	73	20	)	)	PUNCT
cana-3682	73	21	)	)	PUNCT
cana-3682	74	1	(	(	PUNCT
cana-3682	74	2	17	17	X
cana-3682	74	3	)	)	PUNCT
cana-3682	74	4	communications	communication	NOUN
cana-3682	74	5	on	on	ADP
cana-3682	74	6	applied	apply	VERB
cana-3682	74	7	nonlinear	nonlinear	ADJ
cana-3682	74	8	analysis	analysis	NOUN
cana-3682	74	9	issn	issn	NOUN
cana-3682	74	10	:	:	PUNCT
cana-3682	74	11	1074	1074	NUM
cana-3682	74	12	-	-	PUNCT
cana-3682	74	13	133x	133x	NUM
cana-3682	74	14	vol	vol	NOUN
cana-3682	74	15	32	32	NUM
cana-3682	74	16	no	no	NOUN
cana-3682	74	17	.	.	PUNCT
cana-3682	75	1	8s	8s	PROPN
cana-3682	75	2	(	(	PUNCT
cana-3682	75	3	2025	2025	NUM
cana-3682	75	4	)	)	PUNCT
cana-3682	75	5	387	387	NUM
cana-3682	75	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3682	75	7	𝐿2(𝑠	𝐿2(𝑠	NUM
cana-3682	75	8	)	)	PUNCT
cana-3682	75	9	=	=	SYM
cana-3682	75	10	𝐶3	𝐶3	PROPN
cana-3682	75	11	𝐶4	𝐶4	PROPN
cana-3682	75	12	𝐿	𝐿	PROPN
cana-3682	75	13	𝑜(𝑠	𝑜(𝑠	PROPN
cana-3682	75	14	)	)	PUNCT
cana-3682	75	15	(	(	PUNCT
cana-3682	75	16	18	18	NUM
cana-3682	75	17	)	)	PUNCT
cana-3682	75	18	𝐿1(𝑠	𝐿1(𝑠	PROPN
cana-3682	75	19	)	)	PUNCT
cana-3682	76	1	=	=	PRON
cana-3682	76	2	(	(	PUNCT
cana-3682	76	3	𝛽𝑟(𝑥)𝐶3	𝛽𝑟(𝑥)𝐶3	X
cana-3682	76	4	𝐶1𝐶4	𝐶1𝐶4	PROPN
cana-3682	76	5	+	+	CCONJ
cana-3682	76	6	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	76	7	𝐶1	𝐶1	NOUN
cana-3682	76	8	)	)	PUNCT
cana-3682	76	9	𝐿𝑜(𝑠	𝐿𝑜(𝑠	NUM
cana-3682	76	10	)	)	PUNCT
cana-3682	76	11	(	(	PUNCT
cana-3682	76	12	19	19	NUM
cana-3682	76	13	)	)	PUNCT
cana-3682	76	14	where	where	SCONJ
cana-3682	76	15	,	,	PUNCT
cana-3682	76	16	𝐶1	𝐶1	PROPN
cana-3682	76	17	=	=	SYM
cana-3682	76	18	(	(	PUNCT
cana-3682	76	19	𝑠	𝑠	PROPN
cana-3682	76	20	+	+	NUM
cana-3682	76	21	𝛼𝑟	𝛼𝑟	PROPN
cana-3682	77	1	+	+	CCONJ
cana-3682	77	2	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	77	3	+	+	NOUN
cana-3682	77	4	𝛼𝑑	𝛼𝑑	PROPN
cana-3682	77	5	+	+	CCONJ
cana-3682	77	6	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	77	7	+	+	CCONJ
cana-3682	77	8	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	77	9	)	)	PUNCT
cana-3682	77	10	𝐶2	𝐶2	PROPN
cana-3682	78	1	=	=	PUNCT
cana-3682	78	2	(	(	PUNCT
cana-3682	78	3	𝑠	𝑠	X
cana-3682	78	4	+	+	CCONJ
cana-3682	78	5	𝛽𝑟(𝑥	𝛽𝑟(𝑥	NUM
cana-3682	78	6	)	)	PUNCT
cana-3682	79	1	+	+	X
cana-3682	79	2	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	79	3	+	+	NOUN
cana-3682	79	4	𝛼𝑑	𝛼𝑑	PROPN
cana-3682	79	5	+	+	CCONJ
cana-3682	79	6	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	79	7	+	+	CCONJ
cana-3682	79	8	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	79	9	)	)	PUNCT
cana-3682	79	10	𝐶3	𝐶3	NOUN
cana-3682	79	11	=	=	SYM
cana-3682	79	12	(	(	PUNCT
cana-3682	79	13	𝑠	𝑠	PROPN
cana-3682	79	14	+	+	CCONJ
cana-3682	79	15	𝛽𝑐(𝑥	𝛽𝑐(𝑥	NUM
cana-3682	79	16	)	)	PUNCT
cana-3682	80	1	+	+	NUM
cana-3682	80	2	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	80	3	+	+	NOUN
cana-3682	80	4	𝛼𝑑	𝛼𝑑	PROPN
cana-3682	80	5	+	+	CCONJ
cana-3682	80	6	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	80	7	+	+	CCONJ
cana-3682	80	8	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	80	9	)	)	PUNCT
cana-3682	80	10	𝐶4	𝐶4	NOUN
cana-3682	80	11	=	=	PUNCT
cana-3682	80	12	𝛼𝑟	𝛼𝑟	PROPN
cana-3682	80	13	+	+	CCONJ
cana-3682	80	14	𝛼𝑟𝛼𝑐	𝛼𝑟𝛼𝑐	ADV
cana-3682	80	15	𝐶1	𝐶1	NOUN
cana-3682	80	16	𝐶5	𝐶5	NOUN
cana-3682	80	17	=	=	PUNCT
cana-3682	81	1	𝐶2	𝐶2	PROPN
cana-3682	82	1	+	+	PUNCT
cana-3682	82	2	𝛼𝑟𝛽𝑐(𝑥	𝛼𝑟𝛽𝑐(𝑥	NOUN
cana-3682	82	3	)	)	PUNCT
cana-3682	82	4	𝐶1	𝐶1	PROPN
cana-3682	82	5	if	if	SCONJ
cana-3682	82	6	the	the	DET
cana-3682	82	7	system	system	NOUN
cana-3682	82	8	is	be	AUX
cana-3682	82	9	in	in	ADP
cana-3682	82	10	a	a	DET
cana-3682	82	11	working	work	VERB
cana-3682	82	12	state	state	NOUN
cana-3682	82	13	(	(	PUNCT
cana-3682	82	14	either	either	CCONJ
cana-3682	82	15	good	good	ADJ
cana-3682	82	16	or	or	CCONJ
cana-3682	82	17	degraded	degraded	ADJ
cana-3682	82	18	)	)	PUNCT
cana-3682	82	19	,	,	PUNCT
cana-3682	82	20	it	it	PRON
cana-3682	82	21	is	be	AUX
cana-3682	82	22	denoted	denote	VERB
cana-3682	82	23	by	by	ADP
cana-3682	82	24	a(t	a(t	NOUN
cana-3682	82	25	)	)	PUNCT
cana-3682	82	26	.	.	PUNCT
cana-3682	83	1	if	if	SCONJ
cana-3682	83	2	the	the	DET
cana-3682	83	3	system	system	NOUN
cana-3682	83	4	is	be	AUX
cana-3682	83	5	in	in	ADP
cana-3682	83	6	a	a	DET
cana-3682	83	7	failed	failed	ADJ
cana-3682	83	8	state	state	NOUN
cana-3682	83	9	,	,	PUNCT
cana-3682	83	10	it	it	PRON
cana-3682	83	11	is	be	AUX
cana-3682	83	12	denoted	denote	VERB
cana-3682	83	13	by	by	ADP
cana-3682	83	14	b(t	b(t	NOUN
cana-3682	83	15	)	)	PUNCT
cana-3682	83	16	.	.	PUNCT
cana-3682	84	1	𝐴(𝑡	𝐴(𝑡	PUNCT
cana-3682	84	2	)	)	PUNCT
cana-3682	84	3	=	=	SYM
cana-3682	84	4	𝐿𝑜(𝑠	𝐿𝑜(𝑠	NUM
cana-3682	84	5	)	)	PUNCT
cana-3682	84	6	+	+	NUM
cana-3682	84	7	𝐿1(𝑠	𝐿1(𝑠	NUM
cana-3682	84	8	)	)	PUNCT
cana-3682	85	1	+	+	NUM
cana-3682	86	1	𝐿2(𝑠	𝐿2(𝑠	NUM
cana-3682	86	2	)	)	PUNCT
cana-3682	86	3	(	(	PUNCT
cana-3682	86	4	20	20	NUM
cana-3682	86	5	)	)	PUNCT
cana-3682	86	6	𝐵(𝑡	𝐵(𝑡	X
cana-3682	86	7	)	)	PUNCT
cana-3682	86	8	=	=	SYM
cana-3682	86	9	𝐿3(𝑠,𝑡	𝐿3(𝑠,𝑡	NOUN
cana-3682	86	10	)	)	PUNCT
cana-3682	87	1	+	+	CCONJ
cana-3682	87	2	𝐿4(𝑠	𝐿4(𝑠	NUM
cana-3682	87	3	,	,	PUNCT
cana-3682	87	4	𝑡	𝑡	X
cana-3682	87	5	)	)	PUNCT
cana-3682	87	6	+	+	CCONJ
cana-3682	87	7	𝐿5(𝑠	𝐿5(𝑠	PROPN
cana-3682	87	8	,	,	PUNCT
cana-3682	87	9	𝑡	𝑡	X
cana-3682	87	10	)	)	PUNCT
cana-3682	87	11	(	(	PUNCT
cana-3682	87	12	21	21	NUM
cana-3682	87	13	)	)	PUNCT
cana-3682	87	14	4	4	NUM
cana-3682	87	15	.	.	PUNCT
cana-3682	87	16	result	result	VERB
cana-3682	87	17	4.1	4.1	NUM
cana-3682	87	18	reliability	reliability	NOUN
cana-3682	87	19	calculating	calculate	VERB
cana-3682	87	20	reliability	reliability	NOUN
cana-3682	87	21	on	on	ADP
cana-3682	87	22	solving	solve	VERB
cana-3682	87	23	equation	equation	NOUN
cana-3682	87	24	(	(	PUNCT
cana-3682	87	25	20	20	NUM
cana-3682	87	26	)	)	PUNCT
cana-3682	87	27	and	and	CCONJ
cana-3682	87	28	assuming	assume	VERB
cana-3682	87	29	repair	repair	NOUN
cana-3682	87	30	rate	rate	NOUN
cana-3682	87	31	is	be	AUX
cana-3682	87	32	zero	zero	NUM
cana-3682	87	33	i.e	i.e	PRON
cana-3682	87	34	system	system	NOUN
cana-3682	87	35	is	be	AUX
cana-3682	87	36	in	in	ADP
cana-3682	87	37	good	good	ADJ
cana-3682	87	38	condition	condition	NOUN
cana-3682	87	39	.	.	PUNCT
cana-3682	88	1	now	now	ADV
cana-3682	88	2	taking	take	VERB
cana-3682	88	3	inverse	inverse	ADJ
cana-3682	88	4	laplace	laplace	NOUN
cana-3682	88	5	transformation	transformation	NOUN
cana-3682	88	6	of	of	ADP
cana-3682	88	7	equation	equation	NOUN
cana-3682	88	8	(	(	PUNCT
cana-3682	88	9	20	20	NUM
cana-3682	88	10	)	)	PUNCT
cana-3682	88	11	,	,	PUNCT
cana-3682	88	12	we	we	PRON
cana-3682	88	13	get	get	VERB
cana-3682	88	14	an	an	DET
cana-3682	88	15	equation	equation	NOUN
cana-3682	88	16	of	of	ADP
cana-3682	88	17	reliability	reliability	NOUN
cana-3682	88	18	which	which	PRON
cana-3682	88	19	is	be	AUX
cana-3682	88	20	:	:	PUNCT
cana-3682	88	21	𝑅(𝑡	𝑅(𝑡	X
cana-3682	88	22	)	)	PUNCT
cana-3682	88	23	=	=	SYM
cana-3682	88	24	𝛼𝑟𝑒	𝛼𝑟𝑒	NOUN
cana-3682	89	1	[	[	X
cana-3682	89	2	√𝛼𝑟(𝛼𝑟+4)−	√𝛼𝑟(𝛼𝑟+4)−	ADP
cana-3682	89	3	2(𝛼𝑟+𝛼𝑑	2(𝛼𝑟+𝛼𝑑	NUM
cana-3682	89	4	+	+	NOUN
cana-3682	89	5	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	89	6	+	+	NOUN
cana-3682	89	7	𝛼𝑐0	𝛼𝑐0	NOUN
cana-3682	89	8	)	)	PUNCT
cana-3682	89	9	]	]	PUNCT
cana-3682	90	1	𝑡	𝑡	ADP
cana-3682	90	2	2	2	NUM
cana-3682	90	3	−	−	NOUN
cana-3682	90	4	𝛼𝑐𝑒[√𝛼𝑟(𝛼𝑟+4)−	𝛼𝑐𝑒[√𝛼𝑟(𝛼𝑟+4)−	ADP
cana-3682	90	5	2(𝛼𝑐	2(𝛼𝑐	NUM
cana-3682	91	1	+	+	NOUN
cana-3682	91	2	𝛼𝑑+𝛼𝑤	𝛼𝑑+𝛼𝑤	PROPN
cana-3682	91	3	+	+	PROPN
cana-3682	91	4	𝛼𝑐0	𝛼𝑐0	NOUN
cana-3682	91	5	)	)	PUNCT
cana-3682	91	6	]	]	PUNCT
cana-3682	92	1	𝑡	𝑡	PROPN
cana-3682	92	2	2	2	NUM
cana-3682	92	3	√𝛼𝑟(𝛼𝑟	√𝛼𝑟(𝛼𝑟	NOUN
cana-3682	92	4	+	+	CCONJ
cana-3682	92	5	4	4	X
cana-3682	92	6	)	)	PUNCT
cana-3682	92	7	+	+	CCONJ
cana-3682	92	8	𝑒−𝑡(𝛼𝑟+𝛼𝑑+𝛼𝑤	𝑒−𝑡(𝛼𝑟+𝛼𝑑+𝛼𝑤	NOUN
cana-3682	92	9	+	+	NOUN
cana-3682	92	10	𝛼𝑐0+𝛼𝑐	𝛼𝑐0+𝛼𝑐	NOUN
cana-3682	92	11	)	)	PUNCT
cana-3682	92	12	(	(	PUNCT
cana-3682	92	13	22	22	NUM
cana-3682	92	14	)	)	PUNCT
cana-3682	92	15	now	now	ADV
cana-3682	92	16	put	put	VERB
cana-3682	92	17	the	the	DET
cana-3682	92	18	values	value	NOUN
cana-3682	92	19	of	of	ADP
cana-3682	92	20	𝛼𝑟	𝛼𝑟	NOUN
cana-3682	92	21	=	=	PROPN
cana-3682	92	22	0.01	0.01	NUM
cana-3682	92	23	,	,	PUNCT
cana-3682	92	24	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	92	25	=	=	SYM
cana-3682	92	26	0.03	0.03	NUM
cana-3682	92	27	,	,	PUNCT
cana-3682	92	28	𝛼𝑑	𝛼𝑑	NOUN
cana-3682	92	29	=	=	NOUN
cana-3682	92	30	0.05	0.05	NUM
cana-3682	92	31	,	,	PUNCT
cana-3682	92	32	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	92	33	=	=	NOUN
cana-3682	92	34	0.07	0.07	NUM
cana-3682	92	35	,	,	PUNCT
cana-3682	92	36	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	92	37	=	=	SYM
cana-3682	92	38	0.09	0.09	NUM
cana-3682	92	39	for	for	SCONJ
cana-3682	92	40	find	find	VERB
cana-3682	92	41	the	the	DET
cana-3682	92	42	numerical	numerical	ADJ
cana-3682	92	43	value	value	NOUN
cana-3682	92	44	of	of	ADP
cana-3682	92	45	reliability	reliability	NOUN
cana-3682	92	46	which	which	PRON
cana-3682	92	47	is	be	AUX
cana-3682	92	48	dependent	dependent	ADJ
cana-3682	92	49	on	on	ADP
cana-3682	92	50	time	time	NOUN
cana-3682	92	51	(	(	PUNCT
cana-3682	92	52	t	t	NOUN
cana-3682	92	53	):	):	PUNCT
cana-3682	92	54	𝑅(𝑡	𝑅(𝑡	NOUN
cana-3682	92	55	)	)	PUNCT
cana-3682	92	56	=	=	SYM
cana-3682	92	57	𝑒−0.25𝑡	𝑒−0.25𝑡	NOUN
cana-3682	93	1	+	+	SYM
cana-3682	93	2	0.04993761𝑒−0.11987508𝑡	0.04993761𝑒−0.11987508𝑡	NUM
cana-3682	93	3	−	−	NOUN
cana-3682	93	4	0.14981285𝑒−0.13987508𝑡	0.14981285𝑒−0.13987508𝑡	PRON
cana-3682	93	5	now	now	ADV
cana-3682	93	6	calculate	calculate	VERB
cana-3682	93	7	the	the	DET
cana-3682	93	8	value	value	NOUN
cana-3682	93	9	of	of	ADP
cana-3682	93	10	reliability	reliability	NOUN
cana-3682	93	11	with	with	ADP
cana-3682	93	12	respect	respect	NOUN
cana-3682	93	13	to	to	ADP
cana-3682	93	14	time	time	NOUN
cana-3682	93	15	time	time	NOUN
cana-3682	93	16	(	(	PUNCT
cana-3682	93	17	t	t	NOUN
cana-3682	93	18	)	)	PUNCT
cana-3682	93	19	reliability	reliability	NOUN
cana-3682	93	20	r(t	r(t	NOUN
cana-3682	93	21	)	)	PUNCT
cana-3682	93	22	0	0	PUNCT
cana-3682	94	1	0.90012476	0.90012476	NUM
cana-3682	94	2	2	2	NUM
cana-3682	94	3	0.53256838	0.53256838	NUM
cana-3682	94	4	4	4	NUM
cana-3682	94	5	0.31317822	0.31317822	NUM
cana-3682	94	6	6	6	NUM
cana-3682	94	7	0.18273155	0.18273155	NUM
cana-3682	94	8	8	8	NUM
cana-3682	94	9	0.10554538	0.10554538	NUM
cana-3682	94	10	10	10	NUM
cana-3682	94	11	0.06015513	0.06015513	NUM
cana-3682	94	12	table	table	NOUN
cana-3682	94	13	1	1	NUM
cana-3682	94	14	reliability	reliability	NOUN
cana-3682	94	15	communications	communication	NOUN
cana-3682	94	16	on	on	ADP
cana-3682	94	17	applied	apply	VERB
cana-3682	94	18	nonlinear	nonlinear	ADJ
cana-3682	94	19	analysis	analysis	NOUN
cana-3682	94	20	issn	issn	NOUN
cana-3682	94	21	:	:	PUNCT
cana-3682	94	22	1074	1074	NUM
cana-3682	94	23	-	-	PUNCT
cana-3682	94	24	133x	133x	NUM
cana-3682	94	25	vol	vol	NOUN
cana-3682	94	26	32	32	NUM
cana-3682	94	27	no	no	NOUN
cana-3682	94	28	.	.	PUNCT
cana-3682	95	1	8s	8s	PROPN
cana-3682	95	2	(	(	PUNCT
cana-3682	95	3	2025	2025	NUM
cana-3682	95	4	)	)	PUNCT
cana-3682	95	5	388	388	NUM
cana-3682	95	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3682	95	7	figure	figure	NOUN
cana-3682	95	8	2	2	NUM
cana-3682	95	9	reliability	reliability	NOUN
cana-3682	95	10	here	here	ADV
cana-3682	95	11	is	be	AUX
cana-3682	95	12	the	the	DET
cana-3682	95	13	plot	plot	NOUN
cana-3682	95	14	of	of	ADP
cana-3682	95	15	r(t	r(t	NOUN
cana-3682	95	16	)	)	PUNCT
cana-3682	95	17	with	with	ADP
cana-3682	95	18	points	point	NOUN
cana-3682	95	19	marked	mark	VERB
cana-3682	95	20	at	at	ADP
cana-3682	95	21	intervals	interval	NOUN
cana-3682	95	22	of	of	ADP
cana-3682	95	23	2	2	NUM
cana-3682	95	24	units	unit	NOUN
cana-3682	95	25	,	,	PUNCT
cana-3682	95	26	ranging	range	VERB
cana-3682	95	27	from	from	ADP
cana-3682	95	28	t=0	t=0	PROPN
cana-3682	95	29	to	to	ADP
cana-3682	95	30	t=10	t=10	NUM
cana-3682	95	31	.	.	PUNCT
cana-3682	96	1	the	the	DET
cana-3682	96	2	red	red	ADJ
cana-3682	96	3	points	point	NOUN
cana-3682	96	4	on	on	ADP
cana-3682	96	5	the	the	DET
cana-3682	96	6	graph	graph	NOUN
cana-3682	96	7	correspond	correspond	ADV
cana-3682	96	8	to	to	ADP
cana-3682	96	9	these	these	DET
cana-3682	96	10	specific	specific	ADJ
cana-3682	96	11	time	time	NOUN
cana-3682	96	12	intervals	interval	NOUN
cana-3682	96	13	,	,	PUNCT
cana-3682	96	14	and	and	CCONJ
cana-3682	96	15	the	the	DET
cana-3682	96	16	coordinates	coordinate	NOUN
cana-3682	96	17	of	of	ADP
cana-3682	96	18	these	these	DET
cana-3682	96	19	points	point	NOUN
cana-3682	96	20	are	be	AUX
cana-3682	96	21	labeled	label	VERB
cana-3682	96	22	on	on	ADP
cana-3682	96	23	the	the	DET
cana-3682	96	24	plot	plot	NOUN
cana-3682	96	25	.	.	PUNCT
cana-3682	97	1	4.2	4.2	NUM
cana-3682	97	2	mean	mean	ADJ
cana-3682	97	3	time	time	NOUN
cana-3682	97	4	to	to	ADP
cana-3682	97	5	failure	failure	NOUN
cana-3682	97	6	(	(	PUNCT
cana-3682	97	7	mttf	mttf	NOUN
cana-3682	97	8	)	)	PUNCT
cana-3682	97	9	calculating	calculate	VERB
cana-3682	97	10	mttf	mttf	NOUN
cana-3682	97	11	on	on	ADP
cana-3682	97	12	solving	solve	VERB
cana-3682	97	13	reliability	reliability	NOUN
cana-3682	97	14	equation	equation	NOUN
cana-3682	97	15	by	by	ADP
cana-3682	97	16	integration	integration	NOUN
cana-3682	97	17	where	where	SCONJ
cana-3682	97	18	limit	limit	NOUN
cana-3682	97	19	goes	go	VERB
cana-3682	97	20	0	0	NUM
cana-3682	97	21	to	to	ADP
cana-3682	97	22	∞.	∞.	PROPN
cana-3682	97	23	𝑀𝑇𝑇𝐹	𝑀𝑇𝑇𝐹	PROPN
cana-3682	97	24	=	=	PUNCT
cana-3682	97	25	∫	∫	PROPN
cana-3682	97	26	𝑅(𝑡	𝑅(𝑡	NOUN
cana-3682	97	27	)	)	PUNCT
cana-3682	97	28	𝑑𝑡	𝑑𝑡	ADP
cana-3682	97	29	∞	∞	PROPN
cana-3682	97	30	0	0	NUM
cana-3682	97	31	on	on	ADP
cana-3682	97	32	solving	solve	VERB
cana-3682	97	33	equation	equation	NOUN
cana-3682	97	34	(	(	PUNCT
cana-3682	97	35	21	21	NUM
cana-3682	97	36	)	)	PUNCT
cana-3682	97	37	we	we	PRON
cana-3682	97	38	get	get	VERB
cana-3682	97	39	,	,	PUNCT
cana-3682	97	40	𝑀𝑇𝑇𝐹	𝑀𝑇𝑇𝐹	PROPN
cana-3682	97	41	=	=	SYM
cana-3682	97	42	1	1	NUM
cana-3682	97	43	(	(	PUNCT
cana-3682	97	44	𝛼𝑟	𝛼𝑟	NOUN
cana-3682	98	1	+	+	CCONJ
cana-3682	98	2	𝛼𝑑	𝛼𝑑	PROPN
cana-3682	98	3	+	+	CCONJ
cana-3682	98	4	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	98	5	+	+	NUM
cana-3682	98	6	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	98	7	+	+	CCONJ
cana-3682	98	8	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	98	9	)	)	PUNCT
cana-3682	98	10	+	+	CCONJ
cana-3682	98	11	1	1	NUM
cana-3682	98	12	2√𝛼𝑟(𝛼𝑟	2√𝛼𝑟(𝛼𝑟	NUM
cana-3682	98	13	+	+	CCONJ
cana-3682	98	14	4	4	NUM
cana-3682	98	15	)	)	PUNCT
cana-3682	98	16	[	[	PUNCT
cana-3682	98	17	𝛼𝑟	𝛼𝑟	X
cana-3682	98	18	{	{	PUNCT
cana-3682	98	19	2(𝛼𝑟	2(𝛼𝑟	NUM
cana-3682	99	1	+	+	CCONJ
cana-3682	99	2	𝛼𝑑	𝛼𝑑	NOUN
cana-3682	99	3	+	+	CCONJ
cana-3682	99	4	𝛼𝑤	𝛼𝑤	PROPN
cana-3682	99	5	+	+	CCONJ
cana-3682	99	6	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	99	7	)	)	PUNCT
cana-3682	99	8	−	−	PROPN
cana-3682	100	1	√𝛼𝑟(𝛼𝑟	√𝛼𝑟(𝛼𝑟	NOUN
cana-3682	100	2	+	+	CCONJ
cana-3682	100	3	4	4	NUM
cana-3682	100	4	)	)	PUNCT
cana-3682	100	5	}	}	PUNCT
cana-3682	100	6	−	−	PROPN
cana-3682	101	1	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	101	2	{	{	PUNCT
cana-3682	101	3	2(𝛼𝑐	2(𝛼𝑐	NUM
cana-3682	101	4	+	+	CCONJ
cana-3682	101	5	𝛼𝑑	𝛼𝑑	PROPN
cana-3682	101	6	+	+	CCONJ
cana-3682	101	7	𝛼𝑤	𝛼𝑤	PROPN
cana-3682	101	8	+	+	CCONJ
cana-3682	101	9	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	101	10	)	)	PUNCT
cana-3682	101	11	−	−	PROPN
cana-3682	102	1	√𝛼𝑟(𝛼𝑟	√𝛼𝑟(𝛼𝑟	NOUN
cana-3682	102	2	+	+	CCONJ
cana-3682	102	3	4	4	NUM
cana-3682	102	4	)	)	PUNCT
cana-3682	102	5	}	}	PUNCT
cana-3682	102	6	]	]	PUNCT
cana-3682	102	7	(	(	PUNCT
cana-3682	102	8	23	23	X
cana-3682	102	9	)	)	PUNCT
cana-3682	102	10	checking	check	VERB
cana-3682	102	11	the	the	DET
cana-3682	102	12	behavior	behavior	NOUN
cana-3682	102	13	of	of	ADP
cana-3682	102	14	mttf	mttf	NOUN
cana-3682	102	15	with	with	ADP
cana-3682	102	16	variations	variation	NOUN
cana-3682	102	17	in	in	ADP
cana-3682	102	18	failure	failure	NOUN
cana-3682	102	19	rates	rate	NOUN
cana-3682	102	20	for	for	ADP
cana-3682	102	21	each	each	DET
cana-3682	102	22	system	system	NOUN
cana-3682	102	23	:	:	PUNCT
cana-3682	102	24	failure	failure	NOUN
cana-3682	102	25	rates	rate	NOUN
cana-3682	102	26	mttf	mttf	VERB
cana-3682	103	1	𝛼𝑟	𝛼𝑟	INTJ
cana-3682	104	1	𝛼𝑐	𝛼𝑐	INTJ
cana-3682	104	2	𝛼𝑑	𝛼𝑑	NOUN
cana-3682	104	3	𝛼𝑤	𝛼𝑤	VERB
cana-3682	104	4	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	104	5	0.01	0.01	NUM
cana-3682	104	6	3.83638326	3.83638326	NUM
cana-3682	104	7	4.34782606	4.34782606	NUM
cana-3682	104	8	4.54320330	4.54320330	NUM
cana-3682	104	9	5.00276807	5.00276807	NUM
cana-3682	104	10	5.56991827	5.56991827	NUM
cana-3682	104	11	0.02	0.02	NUM
cana-3682	104	12	3.77674441	3.77674441	NUM
cana-3682	104	13	4.25971868	4.25971868	NUM
cana-3682	104	14	4.34349209	4.34349209	NUM
cana-3682	104	15	4.76194225	4.76194225	NUM
cana-3682	104	16	5.26861739	5.26861739	NUM
cana-3682	104	17	0.03	0.03	NUM
cana-3682	104	18	3.70370370	3.70370370	NUM
cana-3682	104	19	4.18420931	4.18420931	NUM
cana-3682	104	20	4.16039093	4.16039093	NUM
cana-3682	104	21	4.54320330	4.54320330	NUM
cana-3682	104	22	5.00276807	5.00276807	NUM
cana-3682	104	23	0.04	0.04	NUM
cana-3682	104	24	3.60072209	3.60072209	NUM
cana-3682	104	25	3.61710401	3.61710401	NUM
cana-3682	104	26	3.99191153	3.99191153	NUM
cana-3682	104	27	4.34349209	4.34349209	NUM
cana-3682	104	28	4.76194225	4.76194225	NUM
cana-3682	104	29	0.05	0.05	NUM
cana-3682	104	30	3.13081554	3.13081554	NUM
cana-3682	104	31	3.41740632	3.41740632	NUM
cana-3682	104	32	3.84586174	3.84586174	NUM
cana-3682	104	33	4.16039093	4.16039093	NUM
cana-3682	104	34	4.54320330	4.54320330	NUM
cana-3682	104	35	table	table	NOUN
cana-3682	104	36	2	2	NUM
cana-3682	104	37	mttf	mttf	NOUN
cana-3682	104	38	communications	communication	NOUN
cana-3682	104	39	on	on	ADP
cana-3682	104	40	applied	apply	VERB
cana-3682	104	41	nonlinear	nonlinear	ADJ
cana-3682	104	42	analysis	analysis	NOUN
cana-3682	104	43	issn	issn	NOUN
cana-3682	104	44	:	:	PUNCT
cana-3682	104	45	1074	1074	NUM
cana-3682	104	46	-	-	PUNCT
cana-3682	104	47	133x	133x	NUM
cana-3682	104	48	vol	vol	NOUN
cana-3682	104	49	32	32	NUM
cana-3682	104	50	no	no	NOUN
cana-3682	104	51	.	.	PUNCT
cana-3682	105	1	8s	8s	PROPN
cana-3682	105	2	(	(	PUNCT
cana-3682	105	3	2025	2025	NUM
cana-3682	105	4	)	)	PUNCT
cana-3682	105	5	389	389	NUM
cana-3682	105	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3682	105	7	figure	figure	NOUN
cana-3682	105	8	3	3	NUM
cana-3682	105	9	mttf	mttf	NOUN
cana-3682	105	10	this	this	DET
cana-3682	105	11	graph	graph	NOUN
cana-3682	105	12	about	about	ADP
cana-3682	105	13	mttf	mttf	NOUN
cana-3682	105	14	for	for	ADP
cana-3682	105	15	every	every	DET
cana-3682	105	16	system	system	NOUN
cana-3682	105	17	where	where	SCONJ
cana-3682	105	18	horizontal	horizontal	ADJ
cana-3682	105	19	axis	axis	NOUN
cana-3682	105	20	denotes	denote	VERB
cana-3682	105	21	failure	failure	NOUN
cana-3682	105	22	rates	rate	NOUN
cana-3682	105	23	and	and	CCONJ
cana-3682	105	24	vertical	vertical	ADJ
cana-3682	105	25	axis	axis	NOUN
cana-3682	105	26	denotes	denote	NOUN
cana-3682	105	27	mttf	mttf	PROPN
cana-3682	105	28	.	.	PUNCT
cana-3682	106	1	5	5	X
cana-3682	106	2	.	.	X
cana-3682	106	3	sensitivity	sensitivity	NOUN
cana-3682	106	4	analysis	analysis	NOUN
cana-3682	106	5	for	for	ADP
cana-3682	106	6	reliability	reliability	NOUN
cana-3682	106	7	for	for	ADP
cana-3682	106	8	sensitivity	sensitivity	NOUN
cana-3682	106	9	analysis	analysis	NOUN
cana-3682	106	10	,	,	PUNCT
cana-3682	106	11	we	we	PRON
cana-3682	106	12	differentiate	differentiate	VERB
cana-3682	106	13	equation	equation	NOUN
cana-3682	106	14	(	(	PUNCT
cana-3682	106	15	21	21	NUM
cana-3682	106	16	)	)	PUNCT
cana-3682	106	17	with	with	ADP
cana-3682	106	18	respect	respect	NOUN
cana-3682	106	19	to	to	ADP
cana-3682	106	20	each	each	DET
cana-3682	106	21	system	system	NOUN
cana-3682	106	22	and	and	CCONJ
cana-3682	106	23	using	use	VERB
cana-3682	106	24	values	value	NOUN
cana-3682	106	25	𝛼𝑟	𝛼𝑟	ADP
cana-3682	106	26	=	=	NOUN
cana-3682	106	27	0.01	0.01	NUM
cana-3682	106	28	,	,	PUNCT
cana-3682	106	29	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	106	30	=	=	SYM
cana-3682	106	31	0.03	0.03	NUM
cana-3682	106	32	,	,	PUNCT
cana-3682	106	33	𝛼𝑑	𝛼𝑑	NOUN
cana-3682	106	34	=	=	NOUN
cana-3682	106	35	0.05	0.05	NUM
cana-3682	106	36	,	,	PUNCT
cana-3682	106	37	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	106	38	=	=	NOUN
cana-3682	106	39	0.07	0.07	NUM
cana-3682	106	40	,	,	PUNCT
cana-3682	106	41	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	106	42	=	=	SYM
cana-3682	106	43	0.09	0.09	NUM
cana-3682	106	44	as	as	SCONJ
cana-3682	106	45	failure	failure	NOUN
cana-3682	106	46	rates	rate	NOUN
cana-3682	106	47	table	table	VERB
cana-3682	106	48	3	3	NUM
cana-3682	106	49	and	and	CCONJ
cana-3682	106	50	figure	figure	NOUN
cana-3682	106	51	are	be	AUX
cana-3682	106	52	the	the	DET
cana-3682	106	53	results	result	NOUN
cana-3682	106	54	.	.	PUNCT
cana-3682	107	1	time	time	NOUN
cana-3682	107	2	(	(	PUNCT
cana-3682	107	3	t	t	NOUN
cana-3682	107	4	)	)	PUNCT
cana-3682	107	5	reliability	reliability	NOUN
cana-3682	107	6	r(t	r(t	NOUN
cana-3682	107	7	)	)	PUNCT
cana-3682	107	8	𝜕𝑅(𝑡	𝜕𝑅(𝑡	NOUN
cana-3682	107	9	)	)	PUNCT
cana-3682	107	10	𝜕𝛼𝑟	𝜕𝛼𝑟	ADP
cana-3682	107	11	𝜕𝑅(𝑡	𝜕𝑅(𝑡	NOUN
cana-3682	107	12	)	)	PUNCT
cana-3682	107	13	𝜕𝛼𝑐	𝜕𝛼𝑐	NOUN
cana-3682	108	1	𝜕𝑅(𝑡	𝜕𝑅(𝑡	INTJ
cana-3682	108	2	)	)	PUNCT
cana-3682	108	3	𝜕𝛼𝑑	𝜕𝛼𝑑	NOUN
cana-3682	109	1	𝜕𝑅(𝑡	𝜕𝑅(𝑡	NOUN
cana-3682	109	2	)	)	PUNCT
cana-3682	109	3	𝜕𝛼𝑤	𝜕𝛼𝑤	SYM
cana-3682	110	1	𝜕𝑅(𝑡	𝜕𝑅(𝑡	NOUN
cana-3682	110	2	)	)	PUNCT
cana-3682	110	3	𝜕𝛼𝑐𝑜	𝜕𝛼𝑐𝑜	NOUN
cana-3682	110	4	0	0	NUM
cana-3682	110	5	0.150062504	0.150062504	NUM
cana-3682	110	6	-4.99376159	-4.99376159	NOUN
cana-3682	110	7	0	0	NUM
cana-3682	110	8	0	0	NUM
cana-3682	110	9	0	0	NUM
cana-3682	110	10	2	2	NUM
cana-3682	110	11	0.023280480	0.023280480	NUM
cana-3682	110	12	-4.76169938	-4.76169938	PROPN
cana-3682	110	13	-1.06513678	-1.06513678	PROPN
cana-3682	110	14	-1.06513678	-1.06513678	PROPN
cana-3682	110	15	-1.06513678	-1.06513678	PROPN
cana-3682	111	1	4	4	NUM
cana-3682	111	2	-0.081154832	-0.081154832	NOUN
cana-3682	111	3	-3.98295639	-3.98295639	PROPN
cana-3682	111	4	-1.25271276	-1.25271276	PROPN
cana-3682	111	5	-1.25271276	-1.25271276	PROPN
cana-3682	112	1	-1.25271276	-1.25271276	PROPN
cana-3682	112	2	6	6	NUM
cana-3682	112	3	-0.161704065	-0.161704065	NOUN
cana-3682	112	4	-3.10791119	-3.10791119	PROPN
cana-3682	112	5	-1.09638828	-1.09638828	PROPN
cana-3682	113	1	-1.09638828	-1.09638828	X
cana-3682	113	2	-1.09638828	-1.09638828	VERB
cana-3682	113	3	8	8	NUM
cana-3682	113	4	-0.219630740	-0.219630740	NOUN
cana-3682	113	5	-2.32223663	-2.32223663	NOUN
cana-3682	113	6	-0.84436274	-0.84436274	PROPN
cana-3682	113	7	-0.84436274	-0.84436274	PROPN
cana-3682	113	8	-0.84436274	-0.84436274	VERB
cana-3682	113	9	10	10	NUM
cana-3682	113	10	-0.327436470	-0.327436470	X
cana-3682	113	11	-1.68393997	-1.68393997	PROPN
cana-3682	113	12	-0.60155118	-0.60155118	ADJ
cana-3682	113	13	-0.60155118	-0.60155118	VERB
cana-3682	113	14	-0.60155118	-0.60155118	VERB
cana-3682	113	15	table	table	NOUN
cana-3682	113	16	3	3	NUM
cana-3682	113	17	sensitivity	sensitivity	NOUN
cana-3682	113	18	analysis	analysis	NOUN
cana-3682	113	19	for	for	ADP
cana-3682	113	20	reliability	reliability	NOUN
cana-3682	113	21	figure	figure	NOUN
cana-3682	113	22	4	4	NUM
cana-3682	113	23	sensitivity	sensitivity	NOUN
cana-3682	113	24	analyses	analysis	NOUN
cana-3682	113	25	for	for	ADP
cana-3682	113	26	reliability	reliability	NOUN
cana-3682	113	27	communications	communication	NOUN
cana-3682	113	28	on	on	ADP
cana-3682	113	29	applied	apply	VERB
cana-3682	113	30	nonlinear	nonlinear	ADJ
cana-3682	113	31	analysis	analysis	NOUN
cana-3682	113	32	issn	issn	NOUN
cana-3682	113	33	:	:	PUNCT
cana-3682	113	34	1074	1074	NUM
cana-3682	113	35	-	-	PUNCT
cana-3682	113	36	133x	133x	NUM
cana-3682	113	37	vol	vol	NOUN
cana-3682	113	38	32	32	NUM
cana-3682	113	39	no	no	NOUN
cana-3682	113	40	.	.	PUNCT
cana-3682	114	1	8s	8s	PROPN
cana-3682	114	2	(	(	PUNCT
cana-3682	114	3	2025	2025	NUM
cana-3682	114	4	)	)	PUNCT
cana-3682	114	5	390	390	NUM
cana-3682	114	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3682	114	7	6	6	NUM
cana-3682	114	8	.	.	PUNCT
cana-3682	114	9	discussion	discussion	NOUN
cana-3682	114	10	6.1	6.1	NUM
cana-3682	114	11	result	result	NOUN
cana-3682	114	12	for	for	ADP
cana-3682	114	13	reliability	reliability	NOUN
cana-3682	114	14	as	as	SCONJ
cana-3682	114	15	we	we	PRON
cana-3682	114	16	see	see	VERB
cana-3682	114	17	in	in	ADP
cana-3682	114	18	the	the	DET
cana-3682	114	19	graph	graph	NOUN
cana-3682	114	20	,	,	PUNCT
cana-3682	114	21	reliability	reliability	NOUN
cana-3682	114	22	with	with	ADP
cana-3682	114	23	respect	respect	NOUN
cana-3682	114	24	to	to	ADP
cana-3682	114	25	time	time	NOUN
cana-3682	114	26	is	be	AUX
cana-3682	114	27	exponentially	exponentially	ADV
cana-3682	114	28	decreasing	decrease	VERB
cana-3682	114	29	,	,	PUNCT
cana-3682	114	30	which	which	PRON
cana-3682	114	31	means	mean	VERB
cana-3682	114	32	that	that	SCONJ
cana-3682	114	33	as	as	ADP
cana-3682	114	34	time	time	NOUN
cana-3682	114	35	and	and	CCONJ
cana-3682	114	36	the	the	DET
cana-3682	114	37	rate	rate	NOUN
cana-3682	114	38	of	of	ADP
cana-3682	114	39	failure	failure	NOUN
cana-3682	114	40	increase	increase	NOUN
cana-3682	114	41	,	,	PUNCT
cana-3682	114	42	reliability	reliability	NOUN
cana-3682	114	43	decreases	decrease	VERB
cana-3682	114	44	.	.	PUNCT
cana-3682	115	1	the	the	DET
cana-3682	115	2	values	value	NOUN
cana-3682	115	3	of	of	ADP
cana-3682	115	4	reliability	reliability	NOUN
cana-3682	115	5	start	start	VERB
cana-3682	115	6	at	at	ADP
cana-3682	115	7	0.90012476	0.90012476	NUM
cana-3682	115	8	at	at	ADP
cana-3682	115	9	0	0	NUM
cana-3682	115	10	units	unit	NOUN
cana-3682	115	11	of	of	ADP
cana-3682	115	12	time	time	NOUN
cana-3682	115	13	and	and	CCONJ
cana-3682	115	14	decrease	decrease	NOUN
cana-3682	115	15	to	to	ADP
cana-3682	115	16	0.06015513	0.06015513	NUM
cana-3682	115	17	at	at	ADP
cana-3682	115	18	10	10	NUM
cana-3682	115	19	units	unit	NOUN
cana-3682	115	20	of	of	ADP
cana-3682	115	21	time	time	NOUN
cana-3682	115	22	.	.	PUNCT
cana-3682	116	1	6.2	6.2	NUM
cana-3682	116	2	result	result	NOUN
cana-3682	116	3	for	for	ADP
cana-3682	116	4	mttf	mttf	NOUN
cana-3682	116	5	for	for	ADP
cana-3682	116	6	calculating	calculate	VERB
cana-3682	116	7	mttf	mttf	NOUN
cana-3682	116	8	,	,	PUNCT
cana-3682	116	9	we	we	PRON
cana-3682	116	10	integrate	integrate	VERB
cana-3682	116	11	equation	equation	NOUN
cana-3682	116	12	(	(	PUNCT
cana-3682	116	13	21	21	NUM
cana-3682	116	14	)	)	PUNCT
cana-3682	116	15	with	with	ADP
cana-3682	116	16	respect	respect	NOUN
cana-3682	116	17	to	to	ADP
cana-3682	116	18	time	time	NOUN
cana-3682	116	19	,	,	PUNCT
cana-3682	116	20	where	where	SCONJ
cana-3682	116	21	the	the	DET
cana-3682	116	22	limit	limit	NOUN
cana-3682	116	23	goes	go	VERB
cana-3682	116	24	from	from	ADP
cana-3682	116	25	0	0	NUM
cana-3682	116	26	to	to	ADP
cana-3682	116	27	∞.	∞.	PROPN
cana-3682	116	28	the	the	DET
cana-3682	116	29	resulting	result	VERB
cana-3682	116	30	mttf	mttf	NOUN
cana-3682	116	31	for	for	ADP
cana-3682	116	32	each	each	DET
cana-3682	116	33	system	system	NOUN
cana-3682	116	34	is	be	AUX
cana-3682	116	35	presented	present	VERB
cana-3682	116	36	in	in	ADP
cana-3682	116	37	table	table	NOUN
cana-3682	116	38	2	2	NUM
cana-3682	116	39	and	and	CCONJ
cana-3682	116	40	also	also	ADV
cana-3682	116	41	in	in	ADP
cana-3682	116	42	figure	figure	NOUN
cana-3682	116	43	3	3	NUM
cana-3682	116	44	,	,	PUNCT
cana-3682	116	45	where	where	SCONJ
cana-3682	116	46	the	the	DET
cana-3682	116	47	failure	failure	NOUN
cana-3682	116	48	rate	rate	NOUN
cana-3682	116	49	varies	vary	VERB
cana-3682	116	50	from	from	ADP
cana-3682	116	51	0.01	0.01	NUM
cana-3682	116	52	to	to	ADP
cana-3682	116	53	0.05	0.05	NUM
cana-3682	116	54	.	.	PUNCT
cana-3682	117	1	6.3	6.3	NUM
cana-3682	117	2	result	result	NOUN
cana-3682	117	3	of	of	ADP
cana-3682	117	4	sensitivity	sensitivity	NOUN
cana-3682	117	5	analysis	analysis	NOUN
cana-3682	117	6	for	for	ADP
cana-3682	117	7	reliability	reliability	NOUN
cana-3682	117	8	for	for	ADP
cana-3682	117	9	sensitivity	sensitivity	NOUN
cana-3682	117	10	analysis	analysis	NOUN
cana-3682	117	11	,	,	PUNCT
cana-3682	117	12	we	we	PRON
cana-3682	117	13	differentiate	differentiate	VERB
cana-3682	117	14	reliability	reliability	NOUN
cana-3682	117	15	function	function	NOUN
cana-3682	117	16	with	with	ADP
cana-3682	117	17	respect	respect	NOUN
cana-3682	117	18	to	to	ADP
cana-3682	117	19	each	each	DET
cana-3682	117	20	system	system	NOUN
cana-3682	117	21	and	and	CCONJ
cana-3682	117	22	using	use	VERB
cana-3682	117	23	values	value	NOUN
cana-3682	117	24	𝛼𝑟	𝛼𝑟	ADP
cana-3682	117	25	=	=	NOUN
cana-3682	117	26	0.01	0.01	NUM
cana-3682	117	27	,	,	PUNCT
cana-3682	117	28	𝛼𝑐	𝛼𝑐	NOUN
cana-3682	117	29	=	=	SYM
cana-3682	117	30	0.03	0.03	NUM
cana-3682	117	31	,	,	PUNCT
cana-3682	117	32	𝛼𝑑	𝛼𝑑	NOUN
cana-3682	117	33	=	=	NOUN
cana-3682	117	34	0.05	0.05	NUM
cana-3682	117	35	,	,	PUNCT
cana-3682	117	36	𝛼𝑤	𝛼𝑤	NOUN
cana-3682	117	37	=	=	NOUN
cana-3682	117	38	0.07	0.07	NUM
cana-3682	117	39	,	,	PUNCT
cana-3682	117	40	𝛼𝑐𝑜	𝛼𝑐𝑜	NOUN
cana-3682	117	41	=	=	SYM
cana-3682	117	42	0.09	0.09	NUM
cana-3682	117	43	.	.	PUNCT
cana-3682	118	1	we	we	PRON
cana-3682	118	2	observe	observe	VERB
cana-3682	118	3	that	that	SCONJ
cana-3682	118	4	the	the	DET
cana-3682	118	5	reliability	reliability	NOUN
cana-3682	118	6	function	function	NOUN
cana-3682	118	7	mainly	mainly	ADV
cana-3682	118	8	depends	depend	VERB
cana-3682	118	9	on	on	ADP
cana-3682	118	10	𝛼𝑟	𝛼𝑟	PROPN
cana-3682	118	11	,	,	PUNCT
cana-3682	118	12	𝛼𝑐	𝛼𝑐	ADP
cana-3682	118	13	,	,	PUNCT
cana-3682	118	14	as	as	SCONJ
cana-3682	118	15	the	the	DET
cana-3682	118	16	other	other	ADJ
cana-3682	118	17	three	three	NUM
cana-3682	118	18	systems	system	NOUN
cana-3682	118	19	have	have	VERB
cana-3682	118	20	the	the	DET
cana-3682	118	21	same	same	ADJ
cana-3682	118	22	values	value	NOUN
cana-3682	118	23	,	,	PUNCT
cana-3682	118	24	as	as	SCONJ
cana-3682	118	25	seen	see	VERB
cana-3682	118	26	in	in	ADP
cana-3682	118	27	table	table	NOUN
cana-3682	118	28	3	3	NUM
cana-3682	118	29	.	.	NOUN
cana-3682	118	30	7	7	X
cana-3682	118	31	.	.	X
cana-3682	118	32	conclusion	conclusion	NOUN
cana-3682	118	33	using	use	VERB
cana-3682	118	34	markov	markov	NOUN
cana-3682	118	35	process	process	NOUN
cana-3682	118	36	techniques	technique	NOUN
cana-3682	118	37	,	,	PUNCT
cana-3682	118	38	we	we	PRON
cana-3682	118	39	have	have	AUX
cana-3682	118	40	examined	examine	VERB
cana-3682	118	41	air	air	NOUN
cana-3682	118	42	traffic	traffic	NOUN
cana-3682	118	43	control	control	NOUN
cana-3682	118	44	(	(	PUNCT
cana-3682	118	45	atc	atc	NOUN
cana-3682	118	46	)	)	PUNCT
cana-3682	118	47	system	system	NOUN
cana-3682	118	48	's	's	PART
cana-3682	118	49	reliability	reliability	NOUN
cana-3682	118	50	in	in	ADP
cana-3682	118	51	this	this	DET
cana-3682	118	52	study	study	NOUN
cana-3682	118	53	.	.	PUNCT
cana-3682	119	1	we	we	PRON
cana-3682	119	2	were	be	AUX
cana-3682	119	3	able	able	ADJ
cana-3682	119	4	to	to	PART
cana-3682	119	5	capture	capture	VERB
cana-3682	119	6	dynamic	dynamic	ADJ
cana-3682	119	7	nature	nature	NOUN
cana-3682	119	8	of	of	ADP
cana-3682	119	9	atc	atc	ADJ
cana-3682	119	10	system	system	NOUN
cana-3682	119	11	by	by	ADP
cana-3682	119	12	using	use	VERB
cana-3682	119	13	markov	markov	NOUN
cana-3682	119	14	models	model	NOUN
cana-3682	119	15	,	,	PUNCT
cana-3682	119	16	which	which	PRON
cana-3682	119	17	take	take	VERB
cana-3682	119	18	into	into	ADP
cana-3682	119	19	account	account	NOUN
cana-3682	119	20	a	a	DET
cana-3682	119	21	variety	variety	NOUN
cana-3682	119	22	of	of	ADP
cana-3682	119	23	states	state	NOUN
cana-3682	119	24	and	and	CCONJ
cana-3682	119	25	transitions	transition	NOUN
cana-3682	119	26	that	that	PRON
cana-3682	119	27	represent	represent	VERB
cana-3682	119	28	both	both	DET
cana-3682	119	29	possible	possible	ADJ
cana-3682	119	30	failures	failure	NOUN
cana-3682	119	31	and	and	CCONJ
cana-3682	119	32	real	real	ADJ
cana-3682	119	33	-	-	PUNCT
cana-3682	119	34	world	world	NOUN
cana-3682	119	35	operations	operation	NOUN
cana-3682	119	36	.	.	PUNCT
cana-3682	120	1	mean	mean	VERB
cana-3682	120	2	time	time	NOUN
cana-3682	120	3	to	to	ADP
cana-3682	120	4	failure	failure	NOUN
cana-3682	120	5	(	(	PUNCT
cana-3682	120	6	mttf	mttf	PROPN
cana-3682	120	7	)	)	PUNCT
cana-3682	120	8	was	be	AUX
cana-3682	120	9	one	one	NUM
cana-3682	120	10	of	of	ADP
cana-3682	120	11	primary	primary	ADJ
cana-3682	120	12	measures	measure	NOUN
cana-3682	120	13	employed	employ	VERB
cana-3682	120	14	in	in	ADP
cana-3682	120	15	this	this	DET
cana-3682	120	16	investigation	investigation	NOUN
cana-3682	120	17	.	.	PUNCT
cana-3682	121	1	average	average	ADJ
cana-3682	121	2	time	time	NOUN
cana-3682	121	3	until	until	SCONJ
cana-3682	121	4	a	a	DET
cana-3682	121	5	system	system	NOUN
cana-3682	121	6	fails	fail	VERB
cana-3682	121	7	is	be	AUX
cana-3682	121	8	provided	provide	VERB
cana-3682	121	9	by	by	ADP
cana-3682	121	10	mttf	mttf	PROPN
cana-3682	121	11	,	,	PUNCT
cana-3682	121	12	which	which	PRON
cana-3682	121	13	is	be	AUX
cana-3682	121	14	a	a	DET
cana-3682	121	15	crucial	crucial	ADJ
cana-3682	121	16	metric	metric	NOUN
cana-3682	121	17	for	for	ADP
cana-3682	121	18	assessing	assess	VERB
cana-3682	121	19	the	the	DET
cana-3682	121	20	reliability	reliability	NOUN
cana-3682	121	21	of	of	ADP
cana-3682	121	22	a	a	DET
cana-3682	121	23	system	system	NOUN
cana-3682	121	24	.	.	PUNCT
cana-3682	122	1	we	we	PRON
cana-3682	122	2	performed	perform	VERB
cana-3682	122	3	a	a	DET
cana-3682	122	4	sensitivity	sensitivity	NOUN
cana-3682	122	5	analysis	analysis	NOUN
cana-3682	122	6	to	to	PART
cana-3682	122	7	determine	determine	VERB
cana-3682	122	8	how	how	SCONJ
cana-3682	122	9	each	each	DET
cana-3682	122	10	failure	failure	NOUN
cana-3682	122	11	rate	rate	NOUN
cana-3682	122	12	affects	affect	VERB
cana-3682	122	13	overall	overall	ADJ
cana-3682	122	14	system	system	NOUN
cana-3682	122	15	reliability	reliability	NOUN
cana-3682	122	16	by	by	ADP
cana-3682	122	17	differentiating	differentiate	VERB
cana-3682	122	18	reliability	reliability	NOUN
cana-3682	122	19	function	function	NOUN
cana-3682	122	20	with	with	ADP
cana-3682	122	21	respect	respect	NOUN
cana-3682	122	22	to	to	ADP
cana-3682	122	23	several	several	ADJ
cana-3682	122	24	failure	failure	NOUN
cana-3682	122	25	rates	rate	NOUN
cana-3682	122	26	(	(	PUNCT
cana-3682	122	27	𝛼𝑟	𝛼𝑟	INTJ
cana-3682	122	28	,	,	PUNCT
cana-3682	122	29	𝛼𝑐	𝛼𝑐	INTJ
cana-3682	122	30	,	,	PUNCT
cana-3682	122	31	𝛼𝑑	𝛼𝑑	PROPN
cana-3682	122	32	,	,	PUNCT
cana-3682	122	33	𝛼𝑤	𝛼𝑤	INTJ
cana-3682	122	34	,	,	PUNCT
cana-3682	122	35	𝛼𝑐𝑜	𝛼𝑐𝑜	PROPN
cana-3682	122	36	)	)	PUNCT
cana-3682	122	37	.	.	PUNCT
cana-3682	123	1	reliability	reliability	NOUN
cana-3682	123	2	of	of	ADP
cana-3682	123	3	atc	atc	ADJ
cana-3682	123	4	system	system	NOUN
cana-3682	123	5	has	have	AUX
cana-3682	123	6	been	be	AUX
cana-3682	123	7	effectively	effectively	ADV
cana-3682	123	8	analyzed	analyze	VERB
cana-3682	123	9	through	through	ADP
cana-3682	123	10	use	use	NOUN
cana-3682	123	11	of	of	ADP
cana-3682	123	12	markov	markov	NOUN
cana-3682	123	13	process	process	NOUN
cana-3682	123	14	approaches	approach	NOUN
cana-3682	123	15	,	,	PUNCT
cana-3682	123	16	which	which	PRON
cana-3682	123	17	have	have	AUX
cana-3682	123	18	shown	show	VERB
cana-3682	123	19	to	to	PART
cana-3682	123	20	be	be	AUX
cana-3682	123	21	successful	successful	ADJ
cana-3682	123	22	in	in	ADP
cana-3682	123	23	understanding	understand	VERB
cana-3682	123	24	the	the	DET
cana-3682	123	25	complex	complex	ADJ
cana-3682	123	26	relationships	relationship	NOUN
cana-3682	123	27	between	between	ADP
cana-3682	123	28	different	different	ADJ
cana-3682	123	29	components	component	NOUN
cana-3682	123	30	and	and	CCONJ
cana-3682	123	31	their	their	PRON
cana-3682	123	32	failure	failure	NOUN
cana-3682	123	33	rates	rate	NOUN
cana-3682	123	34	.	.	PUNCT
cana-3682	124	1	when	when	SCONJ
cana-3682	124	2	paired	pair	VERB
cana-3682	124	3	with	with	ADP
cana-3682	124	4	sensitivity	sensitivity	NOUN
cana-3682	124	5	analysis	analysis	NOUN
cana-3682	124	6	,	,	PUNCT
cana-3682	124	7	use	use	NOUN
cana-3682	124	8	of	of	ADP
cana-3682	124	9	mttf	mttf	NOUN
cana-3682	124	10	as	as	ADP
cana-3682	124	11	a	a	DET
cana-3682	124	12	reliability	reliability	NOUN
cana-3682	124	13	measure	measure	NOUN
cana-3682	124	14	yields	yield	VERB
cana-3682	124	15	useful	useful	ADJ
cana-3682	124	16	data	datum	NOUN
cana-3682	124	17	for	for	ADP
cana-3682	124	18	improving	improve	VERB
cana-3682	124	19	system	system	NOUN
cana-3682	124	20	maintenance	maintenance	NOUN
cana-3682	124	21	and	and	CCONJ
cana-3682	124	22	design	design	NOUN
cana-3682	124	23	,	,	PUNCT
cana-3682	124	24	which	which	PRON
cana-3682	124	25	eventually	eventually	ADV
cana-3682	124	26	helps	help	VERB
cana-3682	124	27	to	to	PART
cana-3682	124	28	create	create	VERB
cana-3682	124	29	safer	safe	ADJ
cana-3682	124	30	and	and	CCONJ
cana-3682	124	31	more	more	ADV
cana-3682	124	32	effective	effective	ADJ
cana-3682	124	33	air	air	NOUN
cana-3682	124	34	traffic	traffic	NOUN
cana-3682	124	35	control	control	NOUN
cana-3682	124	36	.	.	PUNCT
cana-3682	125	1	references	reference	NOUN
cana-3682	125	2	[	[	X
cana-3682	125	3	1	1	NUM
cana-3682	125	4	]	]	X
cana-3682	125	5	banjevic	banjevic	PROPN
cana-3682	125	6	,	,	PUNCT
cana-3682	125	7	d.	d.	PROPN
cana-3682	125	8	,	,	PUNCT
cana-3682	125	9	&	&	CCONJ
cana-3682	125	10	jardine	jardine	PROPN
cana-3682	125	11	,	,	PUNCT
cana-3682	125	12	a.	a.	PROPN
cana-3682	125	13	k.	k.	PROPN
cana-3682	125	14	s.	s.	PROPN
cana-3682	125	15	(	(	PUNCT
cana-3682	125	16	2006	2006	NUM
cana-3682	125	17	)	)	PUNCT
cana-3682	125	18	.	.	PUNCT
cana-3682	126	1	calculation	calculation	NOUN
cana-3682	126	2	of	of	ADP
cana-3682	126	3	reliability	reliability	NOUN
cana-3682	126	4	function	function	NOUN
cana-3682	126	5	and	and	CCONJ
cana-3682	126	6	remaining	remain	VERB
cana-3682	126	7	useful	useful	ADJ
cana-3682	126	8	life	life	NOUN
cana-3682	126	9	for	for	ADP
cana-3682	126	10	a	a	DET
cana-3682	126	11	markov	markov	NOUN
cana-3682	126	12	failure	failure	NOUN
cana-3682	126	13	time	time	NOUN
cana-3682	126	14	process	process	NOUN
cana-3682	126	15	.	.	PUNCT
cana-3682	127	1	i	i	PRON
cana-3682	127	2	m	m	VERB
cana-3682	127	3	a	a	DET
cana-3682	127	4	journal	journal	NOUN
cana-3682	127	5	of	of	ADP
cana-3682	127	6	management	management	NOUN
cana-3682	127	7	mathematics	mathematic	NOUN
cana-3682	127	8	,	,	PUNCT
cana-3682	127	9	17(2	17(2	NUM
cana-3682	127	10	)	)	PUNCT
cana-3682	127	11	,	,	PUNCT
cana-3682	127	12	115	115	NUM
cana-3682	127	13	-	-	SYM
cana-3682	127	14	130	130	NUM
cana-3682	127	15	.	.	PUNCT
cana-3682	128	1	[	[	X
cana-3682	128	2	2	2	NUM
cana-3682	128	3	]	]	X
cana-3682	128	4	barbu	barbu	PROPN
cana-3682	128	5	,	,	PUNCT
cana-3682	128	6	v.	v.	PROPN
cana-3682	128	7	,	,	PUNCT
cana-3682	128	8	&	&	CCONJ
cana-3682	128	9	limnios	limnio	NOUN
cana-3682	128	10	,	,	PUNCT
cana-3682	128	11	n.	n.	NOUN
cana-3682	128	12	(	(	PUNCT
cana-3682	128	13	2006	2006	NUM
cana-3682	128	14	)	)	PUNCT
cana-3682	128	15	.	.	PUNCT
cana-3682	129	1	empirical	empirical	ADJ
cana-3682	129	2	estimation	estimation	NOUN
cana-3682	129	3	for	for	ADP
cana-3682	129	4	discrete	discrete	ADJ
cana-3682	129	5	-	-	PUNCT
cana-3682	129	6	time	time	NOUN
cana-3682	129	7	semi	semi	ADJ
cana-3682	129	8	-	-	ADJ
cana-3682	129	9	markov	markov	ADJ
cana-3682	129	10	processes	process	NOUN
cana-3682	129	11	with	with	ADP
cana-3682	129	12	applications	application	NOUN
cana-3682	129	13	in	in	ADP
cana-3682	129	14	reliability	reliability	NOUN
cana-3682	129	15	.	.	PUNCT
cana-3682	130	1	nonparametric	nonparametric	NOUN
cana-3682	130	2	statistics	statistic	NOUN
cana-3682	130	3	,	,	PUNCT
cana-3682	130	4	18(7	18(7	NUM
cana-3682	130	5	-	-	SYM
cana-3682	130	6	8)	8)	NUM
cana-3682	130	7	,	,	PUNCT
cana-3682	130	8	483	483	NUM
cana-3682	130	9	-	-	SYM
cana-3682	130	10	498	498	NUM
cana-3682	130	11	.	.	PUNCT
cana-3682	131	1	[	[	X
cana-3682	131	2	3	3	NUM
cana-3682	131	3	]	]	X
cana-3682	131	4	perman	perman	NOUN
cana-3682	131	5	,	,	PUNCT
cana-3682	131	6	m.	m.	NOUN
cana-3682	131	7	,	,	PUNCT
cana-3682	131	8	senegacnik	senegacnik	X
cana-3682	131	9	,	,	PUNCT
cana-3682	131	10	a.	a.	NOUN
cana-3682	131	11	,	,	PUNCT
cana-3682	131	12	&	&	CCONJ
cana-3682	131	13	tuma	tuma	PROPN
cana-3682	131	14	,	,	PUNCT
cana-3682	131	15	m.	m.	NOUN
cana-3682	131	16	(	(	PUNCT
cana-3682	131	17	1997	1997	NUM
cana-3682	131	18	)	)	PUNCT
cana-3682	131	19	.	.	PUNCT
cana-3682	132	1	semi	semi	ADJ
cana-3682	132	2	-	-	ADJ
cana-3682	132	3	markov	markov	ADJ
cana-3682	132	4	models	model	NOUN
cana-3682	132	5	with	with	ADP
cana-3682	132	6	an	an	DET
cana-3682	132	7	application	application	NOUN
cana-3682	132	8	to	to	ADP
cana-3682	132	9	power	power	NOUN
cana-3682	132	10	-	-	PUNCT
cana-3682	132	11	plant	plant	NOUN
cana-3682	132	12	reliability	reliability	NOUN
cana-3682	132	13	analysis	analysis	NOUN
cana-3682	132	14	.	.	PUNCT
cana-3682	133	1	ieee	ieee	NOUN
cana-3682	133	2	transactions	transaction	NOUN
cana-3682	133	3	on	on	ADP
cana-3682	133	4	reliability	reliability	NOUN
cana-3682	133	5	,	,	PUNCT
cana-3682	133	6	46(4	46(4	NOUN
cana-3682	133	7	)	)	PUNCT
cana-3682	133	8	,	,	PUNCT
cana-3682	133	9	526	526	NUM
cana-3682	133	10	-	-	SYM
cana-3682	133	11	532	532	NUM
cana-3682	133	12	.	.	PUNCT
cana-3682	134	1	[	[	X
cana-3682	134	2	4	4	NUM
cana-3682	134	3	]	]	X
cana-3682	134	4	yadav	yadav	NOUN
cana-3682	134	5	,	,	PUNCT
cana-3682	134	6	o.	o.	PROPN
cana-3682	134	7	p.	p.	PROPN
cana-3682	134	8	,	,	PUNCT
cana-3682	134	9	singh	singh	PROPN
cana-3682	134	10	,	,	PUNCT
cana-3682	134	11	n.	n.	NOUN
cana-3682	134	12	,	,	PUNCT
cana-3682	134	13	chinnam	chinnam	PROPN
cana-3682	134	14	,	,	PUNCT
cana-3682	134	15	r.	r.	PROPN
cana-3682	134	16	b.	b.	PROPN
cana-3682	134	17	,	,	PUNCT
cana-3682	134	18	&	&	CCONJ
cana-3682	134	19	goel	goel	PROPN
cana-3682	134	20	,	,	PUNCT
cana-3682	134	21	p.	p.	PROPN
cana-3682	134	22	s.	s.	PROPN
cana-3682	134	23	(	(	PUNCT
cana-3682	134	24	2003	2003	NUM
cana-3682	134	25	)	)	PUNCT
cana-3682	134	26	.	.	PUNCT
cana-3682	135	1	a	a	DET
cana-3682	135	2	fuzzy	fuzzy	ADJ
cana-3682	135	3	logic	logic	NOUN
cana-3682	135	4	based	base	VERB
cana-3682	135	5	approach	approach	NOUN
cana-3682	135	6	to	to	ADP
cana-3682	135	7	reliability	reliability	NOUN
cana-3682	135	8	improvement	improvement	NOUN
cana-3682	135	9	estimation	estimation	NOUN
cana-3682	135	10	during	during	ADP
cana-3682	135	11	product	product	NOUN
cana-3682	135	12	development	development	NOUN
cana-3682	135	13	.	.	PUNCT
cana-3682	136	1	reliability	reliability	NOUN
cana-3682	136	2	engineering	engineering	NOUN
cana-3682	136	3	&	&	CCONJ
cana-3682	136	4	system	system	NOUN
cana-3682	136	5	safety	safety	NOUN
cana-3682	136	6	,	,	PUNCT
cana-3682	136	7	80(1	80(1	NUM
cana-3682	136	8	)	)	PUNCT
cana-3682	136	9	,	,	PUNCT
cana-3682	136	10	63	63	NUM
cana-3682	136	11	-	-	SYM
cana-3682	136	12	74	74	NUM
cana-3682	136	13	.	.	PUNCT
cana-3682	137	1	[	[	X
cana-3682	137	2	5	5	NUM
cana-3682	137	3	]	]	X
cana-3682	137	4	kim	kim	PROPN
cana-3682	137	5	,	,	PUNCT
cana-3682	137	6	b.	b.	PROPN
cana-3682	137	7	j.	j.	PROPN
cana-3682	137	8	,	,	PUNCT
cana-3682	137	9	&	&	CCONJ
cana-3682	137	10	bishu	bishu	PROPN
cana-3682	137	11	,	,	PUNCT
cana-3682	137	12	r.	r.	PROPN
cana-3682	137	13	r.	r.	PROPN
cana-3682	137	14	(	(	PUNCT
cana-3682	137	15	2006	2006	NUM
cana-3682	137	16	)	)	PUNCT
cana-3682	137	17	.	.	PUNCT
cana-3682	138	1	uncertainty	uncertainty	NOUN
cana-3682	138	2	of	of	ADP
cana-3682	138	3	human	human	ADJ
cana-3682	138	4	error	error	NOUN
cana-3682	138	5	and	and	CCONJ
cana-3682	138	6	fuzzy	fuzzy	ADJ
cana-3682	138	7	approach	approach	NOUN
cana-3682	138	8	to	to	ADP
cana-3682	138	9	human	human	ADJ
cana-3682	138	10	reliability	reliability	NOUN
cana-3682	138	11	analysis	analysis	NOUN
cana-3682	138	12	.	.	PUNCT
cana-3682	139	1	international	international	ADJ
cana-3682	139	2	journal	journal	NOUN
cana-3682	139	3	of	of	ADP
cana-3682	139	4	uncertainty	uncertainty	NOUN
cana-3682	139	5	,	,	PUNCT
cana-3682	139	6	fuzziness	fuzziness	NOUN
cana-3682	139	7	and	and	CCONJ
cana-3682	139	8	knowledge	knowledge	NOUN
cana-3682	139	9	-	-	PUNCT
cana-3682	139	10	based	base	VERB
cana-3682	139	11	systems	system	NOUN
cana-3682	139	12	,	,	PUNCT
cana-3682	139	13	14(01	14(01	NUM
cana-3682	139	14	)	)	PUNCT
cana-3682	139	15	,	,	PUNCT
cana-3682	139	16	111	111	NUM
cana-3682	139	17	-	-	SYM
cana-3682	139	18	129	129	NUM
cana-3682	139	19	.	.	PUNCT
cana-3682	140	1	[	[	X
cana-3682	140	2	6	6	NUM
cana-3682	140	3	]	]	X
cana-3682	140	4	daoud	daoud	PROPN
cana-3682	140	5	,	,	PUNCT
cana-3682	140	6	m.	m.	NOUN
cana-3682	140	7	,	,	PUNCT
cana-3682	140	8	&	&	CCONJ
cana-3682	140	9	mahmoud	mahmoud	PROPN
cana-3682	140	10	,	,	PUNCT
cana-3682	140	11	q.	q.	PROPN
cana-3682	140	12	h.	h.	PROPN
cana-3682	140	13	(	(	PUNCT
cana-3682	140	14	2007	2007	NUM
cana-3682	140	15	,	,	PUNCT
cana-3682	140	16	october	october	PROPN
cana-3682	140	17	)	)	PUNCT
cana-3682	140	18	.	.	PUNCT
cana-3682	141	1	a	a	DET
cana-3682	141	2	fuzzy	fuzzy	ADJ
cana-3682	141	3	approach	approach	NOUN
cana-3682	141	4	to	to	ADP
cana-3682	141	5	reliability	reliability	NOUN
cana-3682	141	6	estimation	estimation	NOUN
cana-3682	141	7	of	of	ADP
cana-3682	141	8	mobile	mobile	ADJ
cana-3682	141	9	agent	agent	NOUN
cana-3682	141	10	-based	-base	VERB
cana-3682	141	11	systems	system	NOUN
cana-3682	141	12	.	.	PUNCT
cana-3682	142	1	in	in	ADP
cana-3682	142	2	2007	2007	NUM
cana-3682	142	3	ieee	ieee	PROPN
cana-3682	142	4	international	international	ADJ
cana-3682	142	5	conference	conference	NOUN
cana-3682	142	6	on	on	ADP
cana-3682	142	7	systems	system	NOUN
cana-3682	142	8	,	,	PUNCT
cana-3682	142	9	man	man	NOUN
cana-3682	142	10	and	and	CCONJ
cana-3682	142	11	cybernetics	cybernetic	NOUN
cana-3682	142	12	(	(	PUNCT
cana-3682	142	13	pp	pp	ADJ
cana-3682	142	14	.	.	PUNCT
cana-3682	143	1	2854	2854	NUM
cana-3682	143	2	-	-	SYM
cana-3682	143	3	2859	2859	NUM
cana-3682	143	4	)	)	PUNCT
cana-3682	143	5	.	.	PUNCT
cana-3682	144	1	ieee	ieee	PROPN
cana-3682	144	2	.	.	PUNCT
cana-3682	145	1	communications	communication	NOUN
cana-3682	145	2	on	on	ADP
cana-3682	145	3	applied	apply	VERB
cana-3682	145	4	nonlinear	nonlinear	ADJ
cana-3682	145	5	analysis	analysis	NOUN
cana-3682	145	6	issn	issn	NOUN
cana-3682	145	7	:	:	PUNCT
cana-3682	145	8	1074	1074	NUM
cana-3682	145	9	-	-	PUNCT
cana-3682	145	10	133x	133x	NUM
cana-3682	145	11	vol	vol	NOUN
cana-3682	145	12	32	32	NUM
cana-3682	145	13	no	no	NOUN
cana-3682	145	14	.	.	PUNCT
cana-3682	146	1	8s	8s	PROPN
cana-3682	146	2	(	(	PUNCT
cana-3682	146	3	2025	2025	NUM
cana-3682	146	4	)	)	PUNCT
cana-3682	146	5	391	391	NUM
cana-3682	146	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3682	147	1	[	[	X
cana-3682	147	2	7	7	NUM
cana-3682	147	3	]	]	SYM
cana-3682	147	4	xiaotao	xiaotao	PROPN
cana-3682	147	5	,	,	PUNCT
cana-3682	147	6	h.	h.	PROPN
cana-3682	147	7	,	,	PUNCT
cana-3682	147	8	xianggen	xianggen	PROPN
cana-3682	147	9	,	,	PUNCT
cana-3682	147	10	y.	y.	PROPN
cana-3682	147	11	,	,	PUNCT
cana-3682	147	12	&	&	CCONJ
cana-3682	147	13	zhe	zhe	PROPN
cana-3682	147	14	,	,	PUNCT
cana-3682	147	15	z.	z.	PROPN
cana-3682	147	16	(	(	PUNCT
cana-3682	147	17	2004	2004	NUM
cana-3682	147	18	)	)	PUNCT
cana-3682	147	19	.	.	PUNCT
cana-3682	148	1	application	application	NOUN
cana-3682	148	2	of	of	ADP
cana-3682	148	3	fault	fault	NOUN
cana-3682	148	4	tree	tree	NOUN
cana-3682	148	5	analysis	analysis	NOUN
cana-3682	148	6	method	method	NOUN
cana-3682	148	7	in	in	ADP
cana-3682	148	8	reliability	reliability	NOUN
cana-3682	148	9	analysis	analysis	NOUN
cana-3682	148	10	of	of	ADP
cana-3682	148	11	substation	substation	NOUN
cana-3682	148	12	communication	communication	NOUN
cana-3682	148	13	system	system	NOUN
cana-3682	148	14	.	.	PUNCT
cana-3682	149	1	power	power	NOUN
cana-3682	149	2	system	system	NOUN
cana-3682	149	3	technology	technology	NOUN
cana-3682	149	4	-	-	PUNCT
cana-3682	149	5	beijing-	beijing-	ADJ
cana-3682	149	6	,	,	PUNCT
cana-3682	149	7	28(1	28(1	NOUN
cana-3682	149	8	)	)	PUNCT
cana-3682	149	9	,	,	PUNCT
cana-3682	149	10	56	56	NUM
cana-3682	149	11	-	-	SYM
cana-3682	149	12	59	59	NUM
cana-3682	149	13	.	.	PUNCT
cana-3682	150	1	[	[	X
cana-3682	150	2	8	8	NUM
cana-3682	150	3	]	]	PUNCT
cana-3682	150	4	shalev	shalev	NOUN
cana-3682	150	5	,	,	PUNCT
cana-3682	150	6	d.	d.	PROPN
cana-3682	150	7	m.	m.	PROPN
cana-3682	150	8	,	,	PUNCT
cana-3682	150	9	&	&	CCONJ
cana-3682	150	10	tiran	tiran	PROPN
cana-3682	150	11	,	,	PUNCT
cana-3682	150	12	j.	j.	PROPN
cana-3682	150	13	(	(	PUNCT
cana-3682	150	14	2007	2007	NUM
cana-3682	150	15	)	)	PUNCT
cana-3682	150	16	.	.	PUNCT
cana-3682	151	1	condition	condition	NOUN
cana-3682	151	2	-	-	PUNCT
cana-3682	151	3	based	base	VERB
cana-3682	151	4	fault	fault	NOUN
cana-3682	151	5	tree	tree	NOUN
cana-3682	151	6	analysis	analysis	NOUN
cana-3682	151	7	(	(	PUNCT
cana-3682	151	8	cbfta	cbfta	NOUN
cana-3682	151	9	):	):	PUNCT
cana-3682	151	10	a	a	DET
cana-3682	151	11	new	new	ADJ
cana-3682	151	12	method	method	NOUN
cana-3682	151	13	for	for	ADP
cana-3682	151	14	improved	improved	ADJ
cana-3682	151	15	fault	fault	NOUN
cana-3682	151	16	tree	tree	NOUN
cana-3682	151	17	analysis	analysis	NOUN
cana-3682	151	18	(	(	PUNCT
cana-3682	151	19	fta	fta	NOUN
cana-3682	151	20	)	)	PUNCT
cana-3682	151	21	,	,	PUNCT
cana-3682	151	22	reliability	reliability	NOUN
cana-3682	151	23	and	and	CCONJ
cana-3682	151	24	safety	safety	NOUN
cana-3682	151	25	calculations	calculation	NOUN
cana-3682	151	26	.	.	PUNCT
cana-3682	152	1	reliability	reliability	NOUN
cana-3682	152	2	engineering	engineering	NOUN
cana-3682	152	3	&	&	CCONJ
cana-3682	152	4	system	system	NOUN
cana-3682	152	5	safety	safety	NOUN
cana-3682	152	6	,	,	PUNCT
cana-3682	152	7	92(9	92(9	NUM
cana-3682	152	8	)	)	PUNCT
cana-3682	152	9	,	,	PUNCT
cana-3682	152	10	1231	1231	NUM
cana-3682	152	11	-	-	SYM
cana-3682	152	12	1241	1241	NUM
cana-3682	152	13	.	.	PUNCT
cana-3682	153	1	[	[	X
cana-3682	153	2	9	9	NUM
cana-3682	153	3	]	]	PUNCT
cana-3682	153	4	volkanovski	volkanovski	NOUN
cana-3682	153	5	,	,	PUNCT
cana-3682	153	6	a.	a.	NOUN
cana-3682	153	7	,	,	PUNCT
cana-3682	153	8	čepin	čepin	NOUN
cana-3682	153	9	,	,	PUNCT
cana-3682	153	10	m.	m.	NOUN
cana-3682	153	11	,	,	PUNCT
cana-3682	153	12	&	&	CCONJ
cana-3682	153	13	mavko	mavko	PROPN
cana-3682	153	14	,	,	PUNCT
cana-3682	153	15	b.	b.	PROPN
cana-3682	153	16	(	(	PUNCT
cana-3682	153	17	2009	2009	NUM
cana-3682	153	18	)	)	PUNCT
cana-3682	153	19	.	.	PUNCT
cana-3682	154	1	application	application	NOUN
cana-3682	154	2	of	of	ADP
cana-3682	154	3	the	the	DET
cana-3682	154	4	fault	fault	NOUN
cana-3682	154	5	tree	tree	NOUN
cana-3682	154	6	analysis	analysis	NOUN
cana-3682	154	7	for	for	ADP
cana-3682	154	8	assessment	assessment	NOUN
cana-3682	154	9	of	of	ADP
cana-3682	154	10	power	power	NOUN
cana-3682	154	11	system	system	NOUN
cana-3682	154	12	reliability	reliability	NOUN
cana-3682	154	13	.	.	PUNCT
cana-3682	155	1	reliability	reliability	NOUN
cana-3682	155	2	engineering	engineering	NOUN
cana-3682	155	3	&	&	CCONJ
cana-3682	155	4	system	system	NOUN
cana-3682	155	5	safety	safety	NOUN
cana-3682	155	6	,	,	PUNCT
cana-3682	155	7	94(6	94(6	NOUN
cana-3682	155	8	)	)	PUNCT
cana-3682	155	9	,	,	PUNCT
cana-3682	155	10	1116	1116	NUM
cana-3682	155	11	-	-	SYM
cana-3682	155	12	1127	1127	NUM
cana-3682	155	13	.	.	PUNCT
cana-3682	156	1	[	[	X
cana-3682	156	2	10	10	NUM
cana-3682	156	3	]	]	X
cana-3682	156	4	sachdeva	sachdeva	PROPN
cana-3682	156	5	,	,	PUNCT
cana-3682	156	6	a.	a.	PROPN
cana-3682	156	7	,	,	PUNCT
cana-3682	156	8	kumar	kumar	PROPN
cana-3682	156	9	,	,	PUNCT
cana-3682	156	10	d.	d.	PROPN
cana-3682	156	11	,	,	PUNCT
cana-3682	156	12	&	&	CCONJ
cana-3682	156	13	kumar	kumar	PROPN
cana-3682	156	14	,	,	PUNCT
cana-3682	156	15	p.	p.	PROPN
cana-3682	156	16	(	(	PUNCT
cana-3682	156	17	2008	2008	NUM
cana-3682	156	18	)	)	PUNCT
cana-3682	156	19	.	.	PUNCT
cana-3682	157	1	reliability	reliability	NOUN
cana-3682	157	2	analysis	analysis	NOUN
cana-3682	157	3	of	of	ADP
cana-3682	157	4	pulping	pulp	VERB
cana-3682	157	5	system	system	NOUN
cana-3682	157	6	using	use	VERB
cana-3682	157	7	petri	petri	ADJ
cana-3682	157	8	nets	net	NOUN
cana-3682	157	9	.	.	PUNCT
cana-3682	158	1	international	international	ADJ
cana-3682	158	2	journal	journal	NOUN
cana-3682	158	3	of	of	ADP
cana-3682	158	4	quality	quality	NOUN
cana-3682	158	5	&	&	CCONJ
cana-3682	158	6	reliability	reliability	NOUN
cana-3682	158	7	management	management	NOUN
cana-3682	158	8	,	,	PUNCT
cana-3682	158	9	25(8	25(8	NUM
cana-3682	158	10	)	)	PUNCT
cana-3682	158	11	,	,	PUNCT
cana-3682	158	12	860	860	NUM
cana-3682	158	13	-	-	SYM
cana-3682	158	14	877	877	NUM
cana-3682	158	15	.	.	PUNCT
cana-3682	159	1	[	[	X
cana-3682	159	2	11	11	NUM
cana-3682	159	3	]	]	X
cana-3682	159	4	kumar	kumar	PROPN
cana-3682	159	5	,	,	PUNCT
cana-3682	159	6	a.	a.	PROPN
cana-3682	159	7	,	,	PUNCT
cana-3682	159	8	&	&	CCONJ
cana-3682	159	9	ram	ram	PROPN
cana-3682	159	10	,	,	PUNCT
cana-3682	159	11	m.	m.	NOUN
cana-3682	159	12	(	(	PUNCT
cana-3682	159	13	2016	2016	NUM
cana-3682	159	14	)	)	PUNCT
cana-3682	159	15	.	.	PUNCT
cana-3682	160	1	performance	performance	NOUN
cana-3682	160	2	analysis	analysis	NOUN
cana-3682	160	3	of	of	ADP
cana-3682	160	4	pulping	pulp	VERB
cana-3682	160	5	and	and	CCONJ
cana-3682	160	6	screening	screen	VERB
cana-3682	160	7	system	system	NOUN
cana-3682	160	8	of	of	ADP
cana-3682	160	9	a	a	DET
cana-3682	160	10	paper	paper	NOUN
cana-3682	160	11	production	production	NOUN
cana-3682	160	12	plant	plant	NOUN
cana-3682	160	13	.	.	PUNCT
cana-3682	161	1	neural	neural	ADJ
cana-3682	161	2	,	,	PUNCT
cana-3682	161	3	parallel	parallel	ADJ
cana-3682	161	4	,	,	PUNCT
cana-3682	161	5	and	and	CCONJ
cana-3682	161	6	scientific	scientific	ADJ
cana-3682	161	7	computations	computation	NOUN
cana-3682	161	8	,	,	PUNCT
cana-3682	161	9	24	24	NUM
cana-3682	161	10	,	,	PUNCT
cana-3682	161	11	351	351	NUM
cana-3682	161	12	-	-	SYM
cana-3682	161	13	368	368	NUM
cana-3682	161	14	.	.	PUNCT
cana-3682	162	1	[	[	X
cana-3682	162	2	12	12	NUM
cana-3682	162	3	]	]	SYM
cana-3682	162	4	zio	zio	PROPN
cana-3682	162	5	,	,	PUNCT
cana-3682	162	6	e.	e.	PROPN
cana-3682	162	7	,	,	PUNCT
cana-3682	162	8	&	&	CCONJ
cana-3682	162	9	di	di	PROPN
cana-3682	162	10	maio	maio	PROPN
cana-3682	162	11	,	,	PUNCT
cana-3682	162	12	f.	f.	PROPN
cana-3682	162	13	(	(	PUNCT
cana-3682	162	14	2009	2009	NUM
cana-3682	162	15	)	)	PUNCT
cana-3682	162	16	.	.	PUNCT
cana-3682	162	17	processing	process	VERB
cana-3682	162	18	dynamic	dynamic	ADJ
cana-3682	162	19	scenarios	scenario	NOUN
cana-3682	162	20	from	from	ADP
cana-3682	162	21	a	a	DET
cana-3682	162	22	reliability	reliability	NOUN
cana-3682	162	23	analysis	analysis	NOUN
cana-3682	162	24	of	of	ADP
cana-3682	162	25	a	a	DET
cana-3682	162	26	nuclear	nuclear	ADJ
cana-3682	162	27	power	power	NOUN
cana-3682	162	28	plant	plant	NOUN
cana-3682	162	29	digital	digital	ADJ
cana-3682	162	30	instrumentation	instrumentation	NOUN
cana-3682	162	31	and	and	CCONJ
cana-3682	162	32	control	control	NOUN
cana-3682	162	33	system	system	NOUN
cana-3682	162	34	.	.	PUNCT
cana-3682	163	1	annals	annal	NOUN
cana-3682	163	2	of	of	ADP
cana-3682	163	3	nuclear	nuclear	ADJ
cana-3682	163	4	energy	energy	NOUN
cana-3682	163	5	,	,	PUNCT
cana-3682	163	6	36(9	36(9	NUM
cana-3682	163	7	)	)	PUNCT
cana-3682	163	8	,	,	PUNCT
cana-3682	163	9	1386	1386	NUM
cana-3682	163	10	-	-	SYM
cana-3682	163	11	1399	1399	NUM
cana-3682	163	12	.	.	PUNCT
cana-3682	164	1	[	[	X
cana-3682	164	2	13	13	NUM
cana-3682	164	3	]	]	SYM
cana-3682	164	4	kumar	kumar	PROPN
cana-3682	164	5	,	,	PUNCT
cana-3682	164	6	a.	a.	PROPN
cana-3682	164	7	,	,	PUNCT
cana-3682	164	8	saxena	saxena	PROPN
cana-3682	164	9	,	,	PUNCT
cana-3682	164	10	a.	a.	PROPN
cana-3682	164	11	,	,	PUNCT
cana-3682	164	12	&	&	CCONJ
cana-3682	164	13	ram	ram	PROPN
cana-3682	164	14	,	,	PUNCT
cana-3682	164	15	m.	m.	NOUN
cana-3682	164	16	(	(	PUNCT
cana-3682	164	17	2020	2020	NUM
cana-3682	164	18	)	)	PUNCT
cana-3682	164	19	.	.	PUNCT
cana-3682	165	1	multi	multi	ADJ
cana-3682	165	2	-	-	ADJ
cana-3682	165	3	state	state	ADJ
cana-3682	165	4	reliability	reliability	NOUN
cana-3682	165	5	measures	measure	VERB
cana-3682	165	6	analysis	analysis	NOUN
cana-3682	165	7	of	of	ADP
cana-3682	165	8	nuclear	nuclear	ADJ
cana-3682	165	9	power	power	NOUN
cana-3682	165	10	plant	plant	NOUN
cana-3682	165	11	(	(	PUNCT
cana-3682	165	12	npp	npp	NOUN
cana-3682	165	13	)	)	PUNCT
cana-3682	165	14	system	system	NOUN
cana-3682	165	15	.	.	PUNCT
cana-3682	166	1	international	international	ADJ
cana-3682	166	2	journal	journal	NOUN
cana-3682	166	3	of	of	ADP
cana-3682	166	4	reliability	reliability	NOUN
cana-3682	166	5	,	,	PUNCT
cana-3682	166	6	quality	quality	NOUN
cana-3682	166	7	and	and	CCONJ
cana-3682	166	8	safety	safety	NOUN
cana-3682	166	9	engineering	engineering	NOUN
cana-3682	166	10	,	,	PUNCT
cana-3682	166	11	27(02	27(02	PROPN
cana-3682	166	12	)	)	PUNCT
cana-3682	166	13	,	,	PUNCT
cana-3682	166	14	2040007	2040007	NUM
cana-3682	166	15	.	.	PUNCT
cana-3682	167	1	[	[	X
cana-3682	167	2	14	14	NUM
cana-3682	167	3	]	]	X
cana-3682	167	4	kumar	kumar	PROPN
cana-3682	167	5	,	,	PUNCT
cana-3682	167	6	a.	a.	NOUN
cana-3682	167	7	,	,	PUNCT
cana-3682	167	8	varshney	varshney	NOUN
cana-3682	167	9	,	,	PUNCT
cana-3682	167	10	a.	a.	NOUN
cana-3682	167	11	,	,	PUNCT
cana-3682	167	12	&	&	CCONJ
cana-3682	167	13	ram	ram	PROPN
cana-3682	167	14	,	,	PUNCT
cana-3682	167	15	m.	m.	NOUN
cana-3682	167	16	(	(	PUNCT
cana-3682	167	17	2015	2015	NUM
cana-3682	167	18	)	)	PUNCT
cana-3682	167	19	.	.	PUNCT
cana-3682	168	1	sensitivity	sensitivity	NOUN
cana-3682	168	2	analysis	analysis	NOUN
cana-3682	168	3	for	for	ADP
cana-3682	168	4	casting	cast	VERB
cana-3682	168	5	process	process	NOUN
cana-3682	168	6	under	under	ADP
cana-3682	168	7	stochastic	stochastic	ADJ
cana-3682	168	8	modeling	modeling	NOUN
cana-3682	168	9	.	.	PUNCT
cana-3682	169	1	international	international	ADJ
cana-3682	169	2	journal	journal	PROPN
cana-3682	169	3	of	of	ADP
cana-3682	169	4	industrial	industrial	ADJ
cana-3682	169	5	engineering	engineering	NOUN
cana-3682	169	6	computations	computation	NOUN
cana-3682	169	7	,	,	PUNCT
cana-3682	169	8	6(3	6(3	NUM
cana-3682	169	9	)	)	PUNCT
cana-3682	169	10	,	,	PUNCT
cana-3682	169	11	419	419	NUM
cana-3682	169	12	-	-	SYM
cana-3682	169	13	432	432	NUM
cana-3682	169	14	.	.	PUNCT
cana-3682	170	1	[	[	X
cana-3682	170	2	15	15	NUM
cana-3682	170	3	]	]	X
cana-3682	170	4	gupta	gupta	PROPN
cana-3682	170	5	,	,	PUNCT
cana-3682	170	6	c.	c.	PROPN
cana-3682	170	7	,	,	PUNCT
cana-3682	170	8	kumar	kumar	PROPN
cana-3682	170	9	,	,	PUNCT
cana-3682	170	10	v.	v.	PROPN
cana-3682	170	11	,	,	PUNCT
cana-3682	170	12	&	&	CCONJ
cana-3682	170	13	kumar	kumar	PROPN
cana-3682	170	14	,	,	PUNCT
cana-3682	170	15	k.	k.	PROPN
cana-3682	170	16	(	(	PUNCT
cana-3682	170	17	2023	2023	NUM
cana-3682	170	18	,	,	PUNCT
cana-3682	170	19	december	december	PROPN
cana-3682	170	20	)	)	PUNCT
cana-3682	170	21	.	.	PUNCT
cana-3682	171	1	a	a	DET
cana-3682	171	2	linear	linear	ADJ
cana-3682	171	3	programming	programming	NOUN
cana-3682	171	4	approach	approach	NOUN
cana-3682	171	5	to	to	PART
cana-3682	171	6	optimize	optimize	VERB
cana-3682	171	7	the	the	DET
cana-3682	171	8	storage	storage	NOUN
cana-3682	171	9	capacity	capacity	NOUN
cana-3682	171	10	.	.	PUNCT
cana-3682	172	1	in	in	ADP
cana-3682	172	2	2023	2023	NUM
cana-3682	172	3	12th	12th	ADJ
cana-3682	172	4	international	international	ADJ
cana-3682	172	5	conference	conference	NOUN
cana-3682	172	6	on	on	ADP
cana-3682	172	7	system	system	NOUN
cana-3682	172	8	modeling	modeling	NOUN
cana-3682	172	9	&	&	CCONJ
cana-3682	172	10	advancement	advancement	NOUN
cana-3682	172	11	in	in	ADP
cana-3682	172	12	research	research	NOUN
cana-3682	172	13	trends	trend	NOUN
cana-3682	172	14	(	(	PUNCT
cana-3682	172	15	smart	smart	ADJ
cana-3682	172	16	)	)	PUNCT
cana-3682	172	17	(	(	PUNCT
cana-3682	172	18	pp	pp	ADJ
cana-3682	172	19	.	.	PUNCT
cana-3682	173	1	508	508	NUM
cana-3682	173	2	-	-	NUM
cana-3682	173	3	511	511	NUM
cana-3682	173	4	)	)	PUNCT
cana-3682	173	5	.	.	PUNCT
cana-3682	174	1	ieee	ieee	NOUN
cana-3682	174	2	.	.	PUNCT
cana-3682	175	1	[	[	X
cana-3682	175	2	16	16	NUM
cana-3682	175	3	]	]	X
cana-3682	175	4	kumar	kumar	PROPN
cana-3682	175	5	,	,	PUNCT
cana-3682	175	6	p.	p.	PROPN
cana-3682	175	7	(	(	PUNCT
cana-3682	175	8	2024	2024	NUM
cana-3682	175	9	)	)	PUNCT
cana-3682	175	10	.	.	PUNCT
cana-3682	176	1	a	a	DET
cana-3682	176	2	two	two	NUM
cana-3682	176	3	-	-	PUNCT
cana-3682	176	4	warehouse	warehouse	NOUN
cana-3682	176	5	inventory	inventory	NOUN
cana-3682	176	6	system	system	NOUN
cana-3682	176	7	with	with	ADP
cana-3682	176	8	time	time	NOUN
cana-3682	176	9	-	-	PUNCT
cana-3682	176	10	dependent	dependent	ADJ
cana-3682	176	11	demand	demand	NOUN
cana-3682	176	12	and	and	CCONJ
cana-3682	176	13	preservation	preservation	NOUN
cana-3682	176	14	technology	technology	NOUN
cana-3682	176	15	.	.	PUNCT
cana-3682	177	1	communications	communication	NOUN
cana-3682	177	2	on	on	ADP
cana-3682	177	3	applied	apply	VERB
cana-3682	177	4	nonlinear	nonlinear	ADJ
cana-3682	177	5	analysis	analysis	NOUN
cana-3682	177	6	,	,	PUNCT
cana-3682	177	7	31(2	31(2	NUM
cana-3682	177	8	)	)	PUNCT
cana-3682	177	9	,	,	PUNCT
cana-3682	177	10	240	240	NUM
cana-3682	177	11	-	-	SYM
cana-3682	177	12	247	247	NUM
cana-3682	177	13	.	.	PUNCT
cana-3682	178	1	[	[	X
cana-3682	178	2	17	17	NUM
cana-3682	178	3	]	]	X
cana-3682	178	4	gupta	gupta	PROPN
cana-3682	178	5	,	,	PUNCT
cana-3682	178	6	c.	c.	PROPN
cana-3682	178	7	,	,	PUNCT
cana-3682	178	8	kumar	kumar	PROPN
cana-3682	178	9	,	,	PUNCT
cana-3682	178	10	v.	v.	PROPN
cana-3682	178	11	,	,	PUNCT
cana-3682	178	12	&	&	CCONJ
cana-3682	178	13	kumar	kumar	PROPN
cana-3682	178	14	,	,	PUNCT
cana-3682	178	15	k.	k.	PROPN
cana-3682	178	16	(	(	PUNCT
cana-3682	178	17	2022	2022	NUM
cana-3682	178	18	,	,	PUNCT
cana-3682	178	19	december	december	PROPN
cana-3682	178	20	)	)	PUNCT
cana-3682	178	21	.	.	PUNCT
cana-3682	179	1	a	a	DET
cana-3682	179	2	study	study	NOUN
cana-3682	179	3	on	on	ADP
cana-3682	179	4	the	the	DET
cana-3682	179	5	applications	application	NOUN
cana-3682	179	6	of	of	ADP
cana-3682	179	7	supply	supply	NOUN
cana-3682	179	8	chain	chain	NOUN
cana-3682	179	9	management	management	NOUN
cana-3682	179	10	.	.	PUNCT
cana-3682	180	1	in	in	ADP
cana-3682	180	2	2022	2022	NUM
cana-3682	180	3	11th	11th	ADJ
cana-3682	180	4	international	international	ADJ
cana-3682	180	5	conference	conference	NOUN
cana-3682	180	6	on	on	ADP
cana-3682	180	7	system	system	NOUN
cana-3682	180	8	modeling	modeling	NOUN
cana-3682	180	9	&	&	CCONJ
cana-3682	180	10	advancement	advancement	NOUN
cana-3682	180	11	in	in	ADP
cana-3682	180	12	research	research	NOUN
cana-3682	180	13	trends	trend	NOUN
cana-3682	180	14	(	(	PUNCT
cana-3682	180	15	smart	smart	ADJ
cana-3682	180	16	)	)	PUNCT
cana-3682	180	17	(	(	PUNCT
cana-3682	180	18	pp	pp	ADP
cana-3682	180	19	.	.	PUNCT
cana-3682	180	20	737741	737741	NUM
cana-3682	180	21	)	)	PUNCT
cana-3682	180	22	.	.	PUNCT
cana-3682	181	1	ieee	ieee	PROPN
cana-3682	181	2	.	.	PUNCT
cana-3682	182	1	[	[	X
cana-3682	182	2	18	18	NUM
cana-3682	182	3	]	]	X
cana-3682	182	4	gupta	gupta	PROPN
cana-3682	182	5	,	,	PUNCT
cana-3682	182	6	c.	c.	PROPN
cana-3682	182	7	(	(	PUNCT
cana-3682	182	8	2024	2024	NUM
cana-3682	182	9	)	)	PUNCT
cana-3682	182	10	.	.	PUNCT
cana-3682	183	1	an	an	DET
cana-3682	183	2	efficient	efficient	ADJ
cana-3682	183	3	technique	technique	NOUN
cana-3682	183	4	for	for	ADP
cana-3682	183	5	arranging	arrange	VERB
cana-3682	183	6	various	various	ADJ
cana-3682	183	7	commodities	commodity	NOUN
cana-3682	183	8	in	in	ADP
cana-3682	183	9	a	a	DET
cana-3682	183	10	warehouse	warehouse	NOUN
cana-3682	183	11	.	.	PUNCT
cana-3682	184	1	communications	communication	NOUN
cana-3682	184	2	on	on	ADP
cana-3682	184	3	applied	apply	VERB
cana-3682	184	4	nonlinear	nonlinear	ADJ
cana-3682	184	5	analysis	analysis	NOUN
cana-3682	184	6	,	,	PUNCT
cana-3682	184	7	31(3s	31(3s	NUM
cana-3682	184	8	)	)	PUNCT
cana-3682	184	9	,	,	PUNCT
cana-3682	184	10	265	265	NUM
cana-3682	184	11	-	-	SYM
cana-3682	184	12	276	276	NUM
cana-3682	184	13	.	.	PUNCT