id	sid	tid	token	lemma	pos
cana-3850	1	1	communications	communication	NOUN
cana-3850	1	2	on	on	ADP
cana-3850	1	3	applied	apply	VERB
cana-3850	1	4	nonlinear	nonlinear	ADJ
cana-3850	1	5	analysis	analysis	NOUN
cana-3850	1	6	issn	issn	NOUN
cana-3850	1	7	:	:	PUNCT
cana-3850	1	8	1074	1074	NUM
cana-3850	1	9	-	-	PUNCT
cana-3850	1	10	133x	133x	NUM
cana-3850	1	11	vol	vol	NOUN
cana-3850	1	12	32	32	NUM
cana-3850	1	13	no	no	NOUN
cana-3850	1	14	.	.	PUNCT
cana-3850	2	1	9s	9s	NUM
cana-3850	2	2	(	(	PUNCT
cana-3850	2	3	2025	2025	NUM
cana-3850	2	4	)	)	PUNCT
cana-3850	2	5	209	209	NUM
cana-3850	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3850	2	7	a	a	DET
cana-3850	2	8	study	study	NOUN
cana-3850	2	9	on	on	ADP
cana-3850	2	10	performance	performance	NOUN
cana-3850	2	11	measure	measure	NOUN
cana-3850	2	12	of	of	ADP
cana-3850	2	13	fm	fm	PROPN
cana-3850	2	14	/	/	SYM
cana-3850	2	15	fd/1	fd/1	NOUN
cana-3850	2	16	queueing	queue	VERB
cana-3850	2	17	problem	problem	NOUN
cana-3850	2	18	using	use	VERB
cana-3850	2	19	lr	lr	NOUN
cana-3850	2	20	-	-	PUNCT
cana-3850	2	21	type	type	NOUN
cana-3850	2	22	trapezoidal	trapezoidal	ADJ
cana-3850	2	23	fuzzy	fuzzy	ADJ
cana-3850	2	24	numbers	number	NOUN
cana-3850	2	25	by	by	ADP
cana-3850	2	26	lr	lr	NOUN
cana-3850	2	27	method	method	PROPN
cana-3850	2	28	s.	s.	PROPN
cana-3850	2	29	vijaya	vijaya	PROPN
cana-3850	2	30	1	1	NUM
cana-3850	2	31	,	,	PUNCT
cana-3850	2	32	dr	dr	PROPN
cana-3850	2	33	.	.	PROPN
cana-3850	2	34	n.	n.	PROPN
cana-3850	2	35	srinivasan	srinivasan	PROPN
cana-3850	2	36	2	2	NUM
cana-3850	2	37	,	,	PUNCT
cana-3850	2	38	dr	dr	PROPN
cana-3850	2	39	.	.	PROPN
cana-3850	2	40	m.	m.	PROPN
cana-3850	2	41	v.	v.	CCONJ
cana-3850	2	42	suresh	suresh	PROPN
cana-3850	2	43	3	3	NUM
cana-3850	2	44	,	,	PUNCT
cana-3850	2	45	dr	dr	PROPN
cana-3850	2	46	.	.	PROPN
cana-3850	2	47	g.	g.	PROPN
cana-3850	2	48	balaji	balaji	PROPN
cana-3850	2	49	4	4	NUM
cana-3850	2	50	,	,	PUNCT
cana-3850	2	51	d.	d.	PROPN
cana-3850	2	52	jayasri	jayasri	VERB
cana-3850	2	53	5	5	NUM
cana-3850	2	54	1research	1research	NUM
cana-3850	2	55	scholar	scholar	NOUN
cana-3850	2	56	,	,	PUNCT
cana-3850	2	57	mathematics	mathematics	PROPN
cana-3850	2	58	department	department	PROPN
cana-3850	2	59	,	,	PUNCT
cana-3850	2	60	st	st	PROPN
cana-3850	2	61	.	.	PROPN
cana-3850	2	62	peter	peter	PROPN
cana-3850	2	63	’s	’s	PROPN
cana-3850	2	64	institute	institute	PROPN
cana-3850	2	65	of	of	ADP
cana-3850	2	66	higher	high	ADJ
cana-3850	2	67	education	education	NOUN
cana-3850	2	68	and	and	CCONJ
cana-3850	2	69	research	research	NOUN
cana-3850	2	70	,	,	PUNCT
cana-3850	2	71	avadi	avadi	NOUN
cana-3850	2	72	,	,	PUNCT
cana-3850	2	73	chennai	chennai	NOUN
cana-3850	2	74	–	–	PUNCT
cana-3850	2	75	54	54	NUM
cana-3850	2	76	.	.	PUNCT
cana-3850	3	1	2professor	2professor	NUM
cana-3850	3	2	,	,	PUNCT
cana-3850	3	3	mathematics	mathematics	PROPN
cana-3850	3	4	department	department	PROPN
cana-3850	3	5	,	,	PUNCT
cana-3850	3	6	st	st	PROPN
cana-3850	3	7	.	.	PROPN
cana-3850	3	8	peter	peter	PROPN
cana-3850	3	9	’s	’s	PROPN
cana-3850	3	10	institute	institute	PROPN
cana-3850	3	11	of	of	ADP
cana-3850	3	12	higher	high	ADJ
cana-3850	3	13	education	education	NOUN
cana-3850	3	14	and	and	CCONJ
cana-3850	3	15	research	research	NOUN
cana-3850	3	16	,	,	PUNCT
cana-3850	3	17	avadi	avadi	NOUN
cana-3850	3	18	,	,	PUNCT
cana-3850	3	19	chennai	chennai	NOUN
cana-3850	3	20	–	–	PUNCT
cana-3850	3	21	54.chennai	54.chennai	NUM
cana-3850	3	22	600	600	NUM
cana-3850	3	23	123	123	NUM
cana-3850	3	24	.	.	PUNCT
cana-3850	4	1	3assistant	3assistant	NUM
cana-3850	4	2	professor	professor	NOUN
cana-3850	4	3	,	,	PUNCT
cana-3850	4	4	department	department	NOUN
cana-3850	4	5	of	of	ADP
cana-3850	4	6	mathematics	mathematic	NOUN
cana-3850	4	7	,	,	PUNCT
cana-3850	4	8	panimalar	panimalar	ADJ
cana-3850	4	9	engineering	engineering	NOUN
cana-3850	4	10	college	college	NOUN
cana-3850	4	11	,	,	PUNCT
cana-3850	4	12	poonamalle	poonamalle	NOUN
cana-3850	4	13	,	,	PUNCT
cana-3850	4	14	4professor	4professor	NUM
cana-3850	4	15	,	,	PUNCT
cana-3850	4	16	mathematics	mathematics	PROPN
cana-3850	4	17	department	department	PROPN
cana-3850	4	18	,	,	PUNCT
cana-3850	4	19	thangavelu	thangavelu	NOUN
cana-3850	4	20	engineering	engineering	PROPN
cana-3850	4	21	college	college	PROPN
cana-3850	4	22	,	,	PUNCT
cana-3850	4	23	chennai	chennai	VERB
cana-3850	4	24	97	97	NUM
cana-3850	4	25	5research	5research	NUM
cana-3850	4	26	scholar	scholar	NOUN
cana-3850	4	27	,	,	PUNCT
cana-3850	4	28	mathematics	mathematics	PROPN
cana-3850	4	29	department	department	PROPN
cana-3850	4	30	,	,	PUNCT
cana-3850	4	31	st	st	PROPN
cana-3850	4	32	.	.	PROPN
cana-3850	4	33	peter	peter	PROPN
cana-3850	4	34	’s	’s	PROPN
cana-3850	4	35	institute	institute	PROPN
cana-3850	4	36	of	of	ADP
cana-3850	4	37	higher	high	ADJ
cana-3850	4	38	education	education	NOUN
cana-3850	4	39	and	and	CCONJ
cana-3850	4	40	research	research	NOUN
cana-3850	4	41	,	,	PUNCT
cana-3850	4	42	avadi	avadi	NOUN
cana-3850	4	43	,	,	PUNCT
cana-3850	4	44	chennai	chennai	NOUN
cana-3850	4	45	–	–	PUNCT
cana-3850	4	46	54	54	NUM
cana-3850	4	47	.	.	PUNCT
cana-3850	5	1	18svijaya@gmail.com1	18svijaya@gmail.com1	NUM
cana-3850	5	2	,	,	PUNCT
cana-3850	5	3	nsri24455@gmail.com2	nsri24455@gmail.com2	PROPN
cana-3850	5	4	,	,	PUNCT
cana-3850	5	5	dr.m.v.suresh17083	dr.m.v.suresh17083	NOUN
cana-3850	5	6	article	article	NOUN
cana-3850	5	7	history	history	NOUN
cana-3850	5	8	:	:	PUNCT
cana-3850	5	9	received	receive	VERB
cana-3850	5	10	:	:	PUNCT
cana-3850	5	11	15	15	NUM
cana-3850	5	12	-	-	SYM
cana-3850	5	13	11	11	NUM
cana-3850	5	14	-	-	PUNCT
cana-3850	5	15	2024	2024	NUM
cana-3850	5	16	revised:28	revised:28	NOUN
cana-3850	5	17	-	-	PUNCT
cana-3850	5	18	12	12	NUM
cana-3850	5	19	-	-	PUNCT
cana-3850	5	20	2024	2024	NUM
cana-3850	5	21	accepted:11	accepted:11	PROPN
cana-3850	5	22	-	-	PUNCT
cana-3850	5	23	01	01	NUM
cana-3850	5	24	-	-	PUNCT
cana-3850	5	25	2025	2025	NUM
cana-3850	5	26	abstract	abstract	NOUN
cana-3850	5	27	:	:	PUNCT
cana-3850	5	28	many	many	ADJ
cana-3850	5	29	queueing	queueing	NOUN
cana-3850	5	30	models	model	NOUN
cana-3850	5	31	have	have	AUX
cana-3850	5	32	been	be	AUX
cana-3850	5	33	solved	solve	VERB
cana-3850	5	34	under	under	ADP
cana-3850	5	35	fuzzy	fuzzy	ADJ
cana-3850	5	36	environment	environment	NOUN
cana-3850	5	37	using	use	VERB
cana-3850	5	38	triangular	triangular	NOUN
cana-3850	5	39	and	and	CCONJ
cana-3850	5	40	trapezoidal	trapezoidal	ADJ
cana-3850	5	41	numbers	number	NOUN
cana-3850	5	42	of	of	ADP
cana-3850	5	43	fuzzy	fuzzy	ADJ
cana-3850	5	44	type	type	NOUN
cana-3850	5	45	where	where	SCONJ
cana-3850	5	46	they	they	PRON
cana-3850	5	47	are	be	AUX
cana-3850	5	48	extensively	extensively	ADV
cana-3850	5	49	used	use	VERB
cana-3850	5	50	in	in	ADP
cana-3850	5	51	real	real	ADJ
cana-3850	5	52	-	-	PUNCT
cana-3850	5	53	life	life	NOUN
cana-3850	5	54	applications	application	NOUN
cana-3850	5	55	which	which	PRON
cana-3850	5	56	are	be	AUX
cana-3850	5	57	implemented	implement	VERB
cana-3850	5	58	frequently	frequently	ADV
cana-3850	5	59	in	in	ADP
cana-3850	5	60	day	day	NOUN
cana-3850	5	61	-	-	PUNCT
cana-3850	5	62	to	to	ADP
cana-3850	5	63	-	-	PUNCT
cana-3850	5	64	day	day	NOUN
cana-3850	5	65	life	life	NOUN
cana-3850	5	66	.	.	PUNCT
cana-3850	6	1	lr	lr	NOUN
cana-3850	6	2	method	method	NOUN
cana-3850	6	3	has	have	AUX
cana-3850	6	4	been	be	AUX
cana-3850	6	5	presented	present	VERB
cana-3850	6	6	in	in	ADP
cana-3850	6	7	this	this	DET
cana-3850	6	8	paper	paper	NOUN
cana-3850	6	9	to	to	PART
cana-3850	6	10	examine	examine	VERB
cana-3850	6	11	fm	fm	PROPN
cana-3850	6	12	/	/	SYM
cana-3850	6	13	fd/1	fd/1	PROPN
cana-3850	6	14	queueing	queue	VERB
cana-3850	6	15	model	model	NOUN
cana-3850	6	16	that	that	PRON
cana-3850	6	17	directs	direct	VERB
cana-3850	6	18	to	to	ADP
cana-3850	6	19	system	system	NOUN
cana-3850	6	20	performance	performance	NOUN
cana-3850	6	21	measure	measure	NOUN
cana-3850	6	22	implementing	implement	VERB
cana-3850	6	23	capacity	capacity	NOUN
cana-3850	6	24	in	in	ADP
cana-3850	6	25	limited	limited	ADJ
cana-3850	6	26	form	form	NOUN
cana-3850	6	27	and	and	CCONJ
cana-3850	6	28	the	the	DET
cana-3850	6	29	calling	call	VERB
cana-3850	6	30	source	source	NOUN
cana-3850	6	31	with	with	ADP
cana-3850	6	32	unlimited	unlimited	ADJ
cana-3850	6	33	form	form	NOUN
cana-3850	6	34	.	.	PUNCT
cana-3850	7	1	the	the	DET
cana-3850	7	2	expected	expect	VERB
cana-3850	7	3	inter	inter	ADJ
cana-3850	7	4	-	-	ADJ
cana-3850	7	5	arrival	arrival	ADJ
cana-3850	7	6	interval	interval	NOUN
cana-3850	7	7	,	,	PUNCT
cana-3850	7	8	service	service	NOUN
cana-3850	7	9	interval	interval	NOUN
cana-3850	7	10	follow	follow	VERB
cana-3850	7	11	fuzzy	fuzzy	ADJ
cana-3850	7	12	manner	manner	NOUN
cana-3850	7	13	having	have	VERB
cana-3850	7	14	single	single	ADJ
cana-3850	7	15	server	server	NOUN
cana-3850	7	16	with	with	ADP
cana-3850	7	17	no	no	DET
cana-3850	7	18	bounds	bound	NOUN
cana-3850	7	19	and	and	CCONJ
cana-3850	7	20	are	be	AUX
cana-3850	7	21	expressed	express	VERB
cana-3850	7	22	as	as	ADP
cana-3850	7	23	lr	lr	NOUN
cana-3850	7	24	-	-	PUNCT
cana-3850	7	25	type	type	NOUN
cana-3850	7	26	trapezoidal	trapezoidal	ADJ
cana-3850	7	27	fuzzy	fuzzy	ADJ
cana-3850	7	28	numbers	number	NOUN
cana-3850	7	29	.	.	PUNCT
cana-3850	8	1	fuzzy	fuzzy	ADJ
cana-3850	8	2	environment	environment	NOUN
cana-3850	8	3	has	have	AUX
cana-3850	8	4	been	be	AUX
cana-3850	8	5	preserved	preserve	VERB
cana-3850	8	6	in	in	ADP
cana-3850	8	7	this	this	DET
cana-3850	8	8	model	model	NOUN
cana-3850	8	9	with	with	ADP
cana-3850	8	10	unlimited	unlimited	ADJ
cana-3850	8	11	bounds	bound	NOUN
cana-3850	8	12	with	with	ADP
cana-3850	8	13	the	the	DET
cana-3850	8	14	circumstances	circumstance	NOUN
cana-3850	8	15	related	relate	VERB
cana-3850	8	16	in	in	ADP
cana-3850	8	17	direction	direction	NOUN
cana-3850	8	18	to	to	PART
cana-3850	8	19	randomness	randomness	VERB
cana-3850	8	20	and	and	CCONJ
cana-3850	8	21	connected	connect	VERB
cana-3850	8	22	under	under	ADP
cana-3850	8	23	fuzziness	fuzziness	NOUN
cana-3850	8	24	of	of	ADP
cana-3850	8	25	lr	lr	NOUN
cana-3850	8	26	-	-	PUNCT
cana-3850	8	27	type	type	NOUN
cana-3850	8	28	.	.	PUNCT
cana-3850	9	1	a	a	DET
cana-3850	9	2	numerical	numerical	ADJ
cana-3850	9	3	illustration	illustration	NOUN
cana-3850	9	4	has	have	AUX
cana-3850	9	5	been	be	AUX
cana-3850	9	6	analysed	analyse	VERB
cana-3850	9	7	and	and	CCONJ
cana-3850	9	8	solved	solve	VERB
cana-3850	9	9	in	in	ADP
cana-3850	9	10	this	this	DET
cana-3850	9	11	model	model	NOUN
cana-3850	9	12	using	use	VERB
cana-3850	9	13	trapezoidal	trapezoidal	ADJ
cana-3850	9	14	fuzzy	fuzzy	ADJ
cana-3850	9	15	numbers	number	NOUN
cana-3850	9	16	of	of	ADP
cana-3850	9	17	lr	lr	NOUN
cana-3850	9	18	type	type	NOUN
cana-3850	9	19	by	by	ADP
cana-3850	9	20	lr	lr	NOUN
cana-3850	9	21	method	method	NOUN
cana-3850	9	22	and	and	CCONJ
cana-3850	9	23	taken	take	VERB
cana-3850	9	24	for	for	ADP
cana-3850	9	25	comparison	comparison	NOUN
cana-3850	9	26	with	with	ADP
cana-3850	9	27	dsw(dong	dsw(dong	PROPN
cana-3850	9	28	,	,	PUNCT
cana-3850	9	29	shah	shah	PROPN
cana-3850	9	30	&	&	CCONJ
cana-3850	9	31	wong	wong	PROPN
cana-3850	9	32	)	)	PUNCT
cana-3850	9	33	algorithm	algorithm	PROPN
cana-3850	9	34	.	.	PUNCT
cana-3850	10	1	the	the	DET
cana-3850	10	2	comparative	comparative	ADJ
cana-3850	10	3	example	example	NOUN
cana-3850	10	4	illustrates	illustrate	VERB
cana-3850	10	5	the	the	DET
cana-3850	10	6	applicability	applicability	NOUN
cana-3850	10	7	,	,	PUNCT
cana-3850	10	8	efficiency	efficiency	NOUN
cana-3850	10	9	and	and	CCONJ
cana-3850	10	10	sustainability	sustainability	NOUN
cana-3850	10	11	of	of	ADP
cana-3850	10	12	the	the	DET
cana-3850	10	13	lr	lr	PROPN
cana-3850	10	14	type	type	NOUN
cana-3850	10	15	model	model	NOUN
cana-3850	10	16	.	.	PUNCT
cana-3850	11	1	keywords	keyword	NOUN
cana-3850	11	2	:	:	PUNCT
cana-3850	11	3	fuzzy	fuzzy	ADJ
cana-3850	11	4	queueing	queueing	NOUN
cana-3850	11	5	,	,	PUNCT
cana-3850	11	6	system	system	NOUN
cana-3850	11	7	performance	performance	NOUN
cana-3850	11	8	measure	measure	NOUN
cana-3850	11	9	,	,	PUNCT
cana-3850	11	10	lr	lr	NOUN
cana-3850	11	11	method	method	NOUN
cana-3850	11	12	,	,	PUNCT
cana-3850	11	13	lrtype	lrtype	NOUN
cana-3850	11	14	trapezoidal	trapezoidal	ADJ
cana-3850	11	15	fuzzy	fuzzy	ADJ
cana-3850	11	16	numbers	number	NOUN
cana-3850	11	17	.	.	PUNCT
cana-3850	12	1	1	1	X
cana-3850	12	2	.	.	X
cana-3850	12	3	introduction	introduction	NOUN
cana-3850	12	4	queueing	queue	VERB
cana-3850	12	5	patterns	pattern	NOUN
cana-3850	12	6	are	be	AUX
cana-3850	12	7	incorporated	incorporate	VERB
cana-3850	12	8	with	with	ADP
cana-3850	12	9	multiple	multiple	ADJ
cana-3850	12	10	application	application	NOUN
cana-3850	12	11	under	under	ADP
cana-3850	12	12	fuzzy	fuzzy	ADJ
cana-3850	12	13	pattern	pattern	NOUN
cana-3850	12	14	having	have	VERB
cana-3850	12	15	several	several	ADJ
cana-3850	12	16	dimensions	dimension	NOUN
cana-3850	12	17	in	in	ADP
cana-3850	12	18	actual	actual	ADJ
cana-3850	12	19	normal	normal	ADJ
cana-3850	12	20	existence	existence	NOUN
cana-3850	12	21	.	.	PUNCT
cana-3850	13	1	performance	performance	NOUN
cana-3850	13	2	measures	measure	NOUN
cana-3850	13	3	play	play	VERB
cana-3850	13	4	a	a	DET
cana-3850	13	5	significant	significant	ADJ
cana-3850	13	6	role	role	NOUN
cana-3850	13	7	in	in	ADP
cana-3850	13	8	queueing	queue	VERB
cana-3850	13	9	system	system	NOUN
cana-3850	13	10	that	that	PRON
cana-3850	13	11	helps	help	VERB
cana-3850	13	12	and	and	CCONJ
cana-3850	13	13	allows	allow	VERB
cana-3850	13	14	us	we	PRON
cana-3850	13	15	to	to	ADP
cana-3850	13	16	the	the	DET
cana-3850	13	17	analyse	analyse	NOUN
cana-3850	13	18	the	the	DET
cana-3850	13	19	nature	nature	NOUN
cana-3850	13	20	of	of	ADP
cana-3850	13	21	mean	mean	VERB
cana-3850	13	22	inter	inter	ADJ
cana-3850	13	23	arrival	arrival	NOUN
cana-3850	13	24	time	time	NOUN
cana-3850	13	25	and	and	CCONJ
cana-3850	13	26	mean	mean	VERB
cana-3850	13	27	service	service	NOUN
cana-3850	13	28	time	time	NOUN
cana-3850	13	29	under	under	ADP
cana-3850	13	30	various	various	ADJ
cana-3850	13	31	situations	situation	NOUN
cana-3850	13	32	determined	determine	VERB
cana-3850	13	33	by	by	ADP
cana-3850	13	34	different	different	ADJ
cana-3850	13	35	queueing	queue	VERB
cana-3850	13	36	patterns	pattern	NOUN
cana-3850	13	37	.	.	PUNCT
cana-3850	14	1	structural	structural	ADJ
cana-3850	14	2	performance	performance	NOUN
cana-3850	14	3	measure	measure	NOUN
cana-3850	14	4	for	for	ADP
cana-3850	14	5	queueing	queue	VERB
cana-3850	14	6	theory	theory	NOUN
cana-3850	14	7	patterns	pattern	NOUN
cana-3850	14	8	are	be	AUX
cana-3850	14	9	computed	compute	VERB
cana-3850	14	10	and	and	CCONJ
cana-3850	14	11	evaluated	evaluate	VERB
cana-3850	14	12	by	by	ADP
cana-3850	14	13	various	various	ADJ
cana-3850	14	14	methods	method	NOUN
cana-3850	14	15	namely	namely	ADV
cana-3850	14	16	alpha	alpha	NOUN
cana-3850	14	17	-	-	PUNCT
cana-3850	14	18	cut	cut	VERB
cana-3850	14	19	method	method	NOUN
cana-3850	14	20	with	with	ADP
cana-3850	14	21	the	the	DET
cana-3850	14	22	help	help	NOUN
cana-3850	14	23	of	of	ADP
cana-3850	14	24	non	non	ADJ
cana-3850	14	25	-	-	ADJ
cana-3850	14	26	linear	linear	ADJ
cana-3850	14	27	parametric	parametric	ADJ
cana-3850	14	28	programming	programming	NOUN
cana-3850	14	29	approach	approach	NOUN
cana-3850	14	30	,	,	PUNCT
cana-3850	14	31	robust	robust	ADJ
cana-3850	14	32	ranking	ranking	NOUN
cana-3850	14	33	technique	technique	NOUN
cana-3850	14	34	,	,	PUNCT
cana-3850	14	35	dsw	dsw	NOUN
cana-3850	14	36	algorithm	algorithm	NOUN
cana-3850	14	37	,	,	PUNCT
cana-3850	14	38	lr	lr	NOUN
cana-3850	14	39	method	method	NOUN
cana-3850	14	40	.	.	PUNCT
cana-3850	15	1	queueing	queue	VERB
cana-3850	15	2	models	model	NOUN
cana-3850	15	3	under	under	ADP
cana-3850	15	4	fuzzy	fuzzy	ADJ
cana-3850	15	5	was	be	AUX
cana-3850	15	6	proposed	propose	VERB
cana-3850	15	7	by	by	ADP
cana-3850	15	8	many	many	ADJ
cana-3850	15	9	researchers	researcher	NOUN
cana-3850	15	10	li	li	PROPN
cana-3850	15	11	and	and	CCONJ
cana-3850	15	12	lee[1	lee[1	NOUN
cana-3850	15	13	]	]	PUNCT
cana-3850	15	14	,	,	PUNCT
cana-3850	15	15	negi	negi	PROPN
cana-3850	15	16	and	and	CCONJ
cana-3850	15	17	lee[2	lee[2	PROPN
cana-3850	15	18	]	]	X
cana-3850	15	19	,	,	PUNCT
cana-3850	15	20	usha	usha	PROPN
cana-3850	15	21	prameela	prameela	PROPN
cana-3850	15	22	karupothu	karupothu	PROPN
cana-3850	15	23	and	and	CCONJ
cana-3850	15	24	pavan	pavan	PROPN
cana-3850	15	25	kumar	kumar	PROPN
cana-3850	16	1	[	[	X
cana-3850	16	2	3	3	NUM
cana-3850	16	3	]	]	ADJ
cana-3850	16	4	perceptionizing	perceptionize	VERB
cana-3850	16	5	fm	fm	PROPN
cana-3850	16	6	/	/	SYM
cana-3850	16	7	fd/1	fd/1	NOUN
cana-3850	16	8	queueing	queue	VERB
cana-3850	16	9	model	model	NOUN
cana-3850	16	10	under	under	ADP
cana-3850	16	11	various	various	ADJ
cana-3850	16	12	fuzzy	fuzzy	ADJ
cana-3850	16	13	numbers	number	NOUN
cana-3850	16	14	,	,	PUNCT
cana-3850	16	15	j.	j.	PROPN
cana-3850	16	16	p.	p.	PROPN
cana-3850	16	17	mukeba	mukeba	PROPN
cana-3850	16	18	kanyinda	kanyinda	PROPN
cana-3850	16	19	et	et	PROPN
cana-3850	16	20	al	al	PROPN
cana-3850	17	1	[	[	X
cana-3850	17	2	4	4	X
cana-3850	17	3	]	]	PUNCT
cana-3850	17	4	,	,	PUNCT
cana-3850	17	5	w.	w.	PROPN
cana-3850	17	6	ritha	ritha	PROPN
cana-3850	17	7	and	and	CCONJ
cana-3850	17	8	s.	s.	PROPN
cana-3850	17	9	josephine	josephine	PROPN
cana-3850	17	10	vinnarasi	vinnarasi	PROPN
cana-3850	18	1	[	[	X
cana-3850	18	2	5	5	NUM
cana-3850	18	3	]	]	PUNCT
cana-3850	18	4	analyzing	analyze	VERB
cana-3850	18	5	queueing	queue	VERB
cana-3850	18	6	model	model	NOUN
cana-3850	18	7	by	by	ADP
cana-3850	18	8	lr	lr	NOUN
cana-3850	18	9	method	method	NOUN
cana-3850	18	10	,	,	PUNCT
cana-3850	18	11	b.	b.	PROPN
cana-3850	18	12	palpandi	palpandi	PROPN
cana-3850	18	13	,	,	PUNCT
cana-3850	18	14	g.geetharamani	g.geetharamani	X
cana-3850	18	15	[	[	X
cana-3850	18	16	6	6	NUM
cana-3850	18	17	]	]	PUNCT
cana-3850	18	18	examining	examine	VERB
cana-3850	18	19	queueing	queue	VERB
cana-3850	18	20	model	model	NOUN
cana-3850	18	21	by	by	ADP
cana-3850	18	22	robust	robust	ADJ
cana-3850	18	23	ranking	ranking	NOUN
cana-3850	18	24	technique	technique	NOUN
cana-3850	18	25	,	,	PUNCT
cana-3850	18	26	s.	s.	PROPN
cana-3850	18	27	shanmugasundaram	shanmugasundaram	PROPN
cana-3850	18	28	et	et	PROPN
cana-3850	18	29	al	al	PROPN
cana-3850	19	1	[	[	X
cana-3850	19	2	7	7	NUM
cana-3850	19	3	]	]	PUNCT
cana-3850	19	4	,	,	PUNCT
cana-3850	19	5	r.	r.	PROPN
cana-3850	19	6	srinivasan	srinivasan	PROPN
cana-3850	20	1	[	[	X
cana-3850	20	2	8	8	NUM
cana-3850	20	3	]	]	X
cana-3850	20	4	studying	study	VERB
cana-3850	20	5	queueing	queue	VERB
cana-3850	20	6	problem	problem	NOUN
cana-3850	20	7	by	by	ADP
cana-3850	20	8	dsw	dsw	NOUN
cana-3850	20	9	algorithm	algorithm	NOUN
cana-3850	20	10	under	under	ADP
cana-3850	20	11	fuzzy	fuzzy	ADJ
cana-3850	20	12	pattern	pattern	NOUN
cana-3850	20	13	.	.	PUNCT
cana-3850	21	1	this	this	DET
cana-3850	21	2	article	article	NOUN
cana-3850	21	3	focuses	focus	VERB
cana-3850	21	4	on	on	ADP
cana-3850	21	5	(	(	PUNCT
cana-3850	21	6	fm	fm	NOUN
cana-3850	21	7	/	/	SYM
cana-3850	21	8	fd/1	fd/1	ADJ
cana-3850	21	9	)	)	PUNCT
cana-3850	21	10	∶	∶	NOUN
cana-3850	21	11	(	(	PUNCT
cana-3850	21	12	∞/fcfs	∞/fcfs	X
cana-3850	21	13	)	)	PUNCT
cana-3850	21	14	queueing	queue	VERB
cana-3850	21	15	pattern	pattern	NOUN
cana-3850	21	16	with	with	ADP
cana-3850	21	17	average	average	ADJ
cana-3850	21	18	expected	expect	VERB
cana-3850	21	19	arrival	arrival	NOUN
cana-3850	21	20	and	and	CCONJ
cana-3850	21	21	service	service	NOUN
cana-3850	21	22	intervals	interval	NOUN
cana-3850	21	23	undergoing	undergo	VERB
cana-3850	21	24	distributions	distribution	NOUN
cana-3850	21	25	exponentially	exponentially	ADV
cana-3850	21	26	with	with	ADP
cana-3850	21	27	mean	mean	ADJ
cana-3850	21	28	rate	rate	NOUN
cana-3850	21	29	‘	'	PUNCT
cana-3850	21	30	λ	λ	NOUN
cana-3850	21	31	’	'	PUNCT
cana-3850	21	32	,	,	PUNCT
cana-3850	21	33	‘	'	PUNCT
cana-3850	21	34	µ	µ	NOUN
cana-3850	21	35	’	'	PUNCT
cana-3850	21	36	under	under	ADP
cana-3850	21	37	fcfs	fcfs	NOUN
cana-3850	21	38	queueing	queueing	NOUN
cana-3850	21	39	technique	technique	NOUN
cana-3850	21	40	following	follow	VERB
cana-3850	21	41	source	source	NOUN
cana-3850	21	42	population	population	NOUN
cana-3850	21	43	infinitely	infinitely	ADV
cana-3850	21	44	with	with	ADP
cana-3850	21	45	fd	fd	PUNCT
cana-3850	21	46	being	be	AUX
cana-3850	21	47	constant	constant	ADJ
cana-3850	21	48	fuzzified	fuzzified	ADJ
cana-3850	21	49	dispersion	dispersion	NOUN
cana-3850	21	50	having	have	VERB
cana-3850	21	51	the	the	DET
cana-3850	21	52	proposed	propose	VERB
cana-3850	21	53	rates	rate	NOUN
cana-3850	21	54	.	.	PUNCT
cana-3850	22	1	to	to	PART
cana-3850	22	2	prioritize	prioritize	VERB
cana-3850	22	3	the	the	DET
cana-3850	22	4	efficiency	efficiency	NOUN
cana-3850	22	5	of	of	ADP
cana-3850	22	6	lr	lr	NOUN
cana-3850	22	7	method	method	NOUN
cana-3850	22	8	,	,	PUNCT
cana-3850	22	9	a	a	DET
cana-3850	22	10	numerical	numerical	ADJ
cana-3850	22	11	illustration	illustration	NOUN
cana-3850	22	12	has	have	AUX
cana-3850	22	13	been	be	AUX
cana-3850	22	14	computed	compute	VERB
cana-3850	22	15	using	use	VERB
cana-3850	22	16	lr	lr	NOUN
cana-3850	22	17	method	method	NOUN
cana-3850	22	18	and	and	CCONJ
cana-3850	22	19	analyzed	analyze	VERB
cana-3850	22	20	using	use	VERB
cana-3850	22	21	dsw	dsw	NOUN
cana-3850	22	22	algorithm	algorithm	NOUN
cana-3850	22	23	.	.	PUNCT
cana-3850	23	1	mailto:18svijaya@gmail.com1	mailto:18svijaya@gmail.com1	PROPN
cana-3850	23	2	mailto	mailto	PROPN
cana-3850	23	3	:	:	PUNCT
cana-3850	23	4	nsri24455@gmail.com2	nsri24455@gmail.com2	SCONJ
cana-3850	23	5	communications	communication	NOUN
cana-3850	23	6	on	on	ADP
cana-3850	23	7	applied	apply	VERB
cana-3850	23	8	nonlinear	nonlinear	ADJ
cana-3850	23	9	analysis	analysis	NOUN
cana-3850	23	10	issn	issn	NOUN
cana-3850	23	11	:	:	PUNCT
cana-3850	23	12	1074	1074	NUM
cana-3850	23	13	-	-	PUNCT
cana-3850	23	14	133x	133x	NUM
cana-3850	23	15	vol	vol	NOUN
cana-3850	23	16	32	32	NUM
cana-3850	23	17	no	no	NOUN
cana-3850	23	18	.	.	PUNCT
cana-3850	24	1	9s	9s	NUM
cana-3850	24	2	(	(	PUNCT
cana-3850	24	3	2025	2025	NUM
cana-3850	24	4	)	)	PUNCT
cana-3850	24	5	210	210	NUM
cana-3850	25	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3850	25	2	2	2	NUM
cana-3850	25	3	.	.	PUNCT
cana-3850	25	4	preliminaries	preliminary	NOUN
cana-3850	25	5	a.	a.	NOUN
cana-3850	25	6	fuzzy	fuzzy	PROPN
cana-3850	25	7	set	set	PROPN
cana-3850	25	8	:	:	PUNCT
cana-3850	25	9	a	a	DET
cana-3850	25	10	fuzzy	fuzzy	ADJ
cana-3850	25	11	set	set	NOUN
cana-3850	25	12	p̃	p̃	PROPN
cana-3850	25	13	specified	specify	VERB
cana-3850	25	14	on	on	ADP
cana-3850	25	15	r	r	NOUN
cana-3850	25	16	is	be	AUX
cana-3850	25	17	categorized	categorize	VERB
cana-3850	25	18	by	by	ADP
cana-3850	25	19	a	a	DET
cana-3850	25	20	membership	membership	NOUN
cana-3850	25	21	function	function	NOUN
cana-3850	25	22	having	have	VERB
cana-3850	25	23	its	its	PRON
cana-3850	25	24	elements	element	NOUN
cana-3850	25	25	of	of	ADP
cana-3850	25	26	a	a	DET
cana-3850	25	27	specified	specified	ADJ
cana-3850	25	28	space	space	NOUN
cana-3850	25	29	‘	'	PUNCT
cana-3850	25	30	x	x	NOUN
cana-3850	25	31	’	'	PUNCT
cana-3850	25	32	in	in	ADP
cana-3850	25	33	the	the	DET
cana-3850	25	34	specified	specified	ADJ
cana-3850	25	35	range	range	NOUN
cana-3850	25	36	[	[	X
cana-3850	25	37	0	0	NUM
cana-3850	25	38	,	,	PUNCT
cana-3850	25	39	1	1	NUM
cana-3850	25	40	]	]	PUNCT
cana-3850	25	41	.	.	PUNCT
cana-3850	26	1	it	it	PRON
cana-3850	26	2	is	be	AUX
cana-3850	26	3	represented	represent	VERB
cana-3850	26	4	as	as	ADP
cana-3850	26	5	p̃	p̃	PROPN
cana-3850	26	6	=	=	SYM
cana-3850	26	7	{	{	PUNCT
cana-3850	26	8	(	(	PUNCT
cana-3850	26	9	z	z	NOUN
cana-3850	26	10	,	,	PUNCT
cana-3850	26	11	μp̃(z	μp̃(z	PROPN
cana-3850	26	12	)	)	PUNCT
cana-3850	26	13	)	)	PUNCT
cana-3850	27	1	;	;	PUNCT
cana-3850	27	2	z	z	X
cana-3850	27	3	∈	∈	PROPN
cana-3850	27	4	z	z	PROPN
cana-3850	27	5	}	}	PUNCT
cana-3850	27	6	b.	b.	PROPN
cana-3850	27	7	trapezoidal	trapezoidal	ADJ
cana-3850	27	8	fuzzy	fuzzy	ADJ
cana-3850	27	9	number	number	NOUN
cana-3850	27	10	by	by	ADP
cana-3850	27	11	lr	lr	NOUN
cana-3850	27	12	–	–	PUNCT
cana-3850	27	13	type	type	NOUN
cana-3850	27	14	:	:	PUNCT
cana-3850	27	15	a	a	DET
cana-3850	27	16	fuzzy	fuzzy	ADJ
cana-3850	27	17	number	number	NOUN
cana-3850	27	18	p̃	p̃	PROPN
cana-3850	27	19	=	=	PUNCT
cana-3850	27	20	(	(	PUNCT
cana-3850	27	21	𝑝	𝑝	PROPN
cana-3850	27	22	,	,	PUNCT
cana-3850	27	23	𝑞	𝑞	PROPN
cana-3850	27	24	,	,	PUNCT
cana-3850	27	25	𝑟	𝑟	X
cana-3850	27	26	,	,	PUNCT
cana-3850	27	27	𝑠	𝑠	PROPN
cana-3850	27	28	)	)	PUNCT
cana-3850	27	29	𝐿𝑅is	𝐿𝑅is	PROPN
cana-3850	27	30	defined	define	VERB
cana-3850	27	31	to	to	PART
cana-3850	27	32	be	be	AUX
cana-3850	27	33	trapezoidal	trapezoidal	ADJ
cana-3850	27	34	fuzzy	fuzzy	ADJ
cana-3850	27	35	numbers	number	NOUN
cana-3850	27	36	of	of	ADP
cana-3850	27	37	lr	lr	NOUN
cana-3850	27	38	type	type	NOUN
cana-3850	27	39	if	if	SCONJ
cana-3850	27	40	its	its	PRON
cana-3850	27	41	membership	membership	NOUN
cana-3850	27	42	function	function	NOUN
cana-3850	27	43	is	be	AUX
cana-3850	27	44	specified	specify	VERB
cana-3850	27	45	by	by	ADP
cana-3850	27	46	μp̃(x	μp̃(x	NOUN
cana-3850	27	47	)	)	PUNCT
cana-3850	27	48	=	=	PRON
cana-3850	27	49	{	{	PUNCT
cana-3850	27	50	l	l	NOUN
cana-3850	27	51	(	(	PUNCT
cana-3850	27	52	p−x	p−x	NOUN
cana-3850	27	53	r	r	NOUN
cana-3850	27	54	)	)	PUNCT
cana-3850	27	55	;	;	PUNCT
cana-3850	27	56	ifx	ifx	PROPN
cana-3850	27	57	≤	≤	PROPN
cana-3850	27	58	p	p	NOUN
cana-3850	27	59	;	;	PUNCT
cana-3850	27	60	r	r	NOUN
cana-3850	27	61	>	>	X
cana-3850	27	62	0	0	PUNCT
cana-3850	27	63	r	r	NOUN
cana-3850	27	64	(	(	PUNCT
cana-3850	27	65	x−q	x−q	PROPN
cana-3850	27	66	s	s	PART
cana-3850	27	67	)	)	PUNCT
cana-3850	27	68	;	;	PUNCT
cana-3850	27	69	ifx	ifx	PROPN
cana-3850	27	70	≥	≥	PROPN
cana-3850	27	71	q	q	PROPN
cana-3850	27	72	;	;	PUNCT
cana-3850	27	73	s	s	X
cana-3850	27	74	>	>	X
cana-3850	27	75	0	0	NUM
cana-3850	27	76	1	1	NUM
cana-3850	27	77	;	;	PUNCT
cana-3850	27	78	otherwise	otherwise	ADV
cana-3850	27	79	c.	c.	PROPN
cana-3850	27	80	basic	basic	ADJ
cana-3850	27	81	operations	operation	NOUN
cana-3850	27	82	in	in	ADP
cana-3850	27	83	trapezoidal	trapezoidal	ADJ
cana-3850	27	84	fuzzy	fuzzy	ADJ
cana-3850	27	85	numbers	number	NOUN
cana-3850	27	86	of	of	ADP
cana-3850	27	87	lr	lr	NOUN
cana-3850	27	88	type	type	NOUN
cana-3850	27	89	:	:	PUNCT
cana-3850	27	90	let	let	VERB
cana-3850	27	91	m	m	PRON
cana-3850	27	92	’	'	PUNCT
cana-3850	27	93	=	=	SYM
cana-3850	27	94	(	(	PUNCT
cana-3850	27	95	m1	m1	NOUN
cana-3850	27	96	,	,	PUNCT
cana-3850	27	97	m2,m3,m4	m2,m3,m4	NUM
cana-3850	27	98	)	)	PUNCT
cana-3850	27	99	,	,	PUNCT
cana-3850	27	100	v	v	NOUN
cana-3850	27	101	’	'	PUNCT
cana-3850	27	102	=	=	SYM
cana-3850	27	103	(	(	PUNCT
cana-3850	27	104	v1	v1	PROPN
cana-3850	27	105	,	,	PUNCT
cana-3850	27	106	v2	v2	PROPN
cana-3850	27	107	,	,	PUNCT
cana-3850	27	108	v3	v3	PROPN
cana-3850	27	109	,	,	PUNCT
cana-3850	27	110	v4	v4	NOUN
cana-3850	27	111	)	)	PUNCT
cana-3850	27	112	&	&	CCONJ
cana-3850	27	113	‘	'	PUNCT
cana-3850	27	114	λ	λ	X
cana-3850	27	115	’	'	PUNCT
cana-3850	27	116	is	be	AUX
cana-3850	27	117	a	a	DET
cana-3850	27	118	parameter	parameter	NOUN
cana-3850	27	119	,	,	PUNCT
cana-3850	27	120	then	then	ADV
cana-3850	27	121	(	(	PUNCT
cana-3850	27	122	i	i	NOUN
cana-3850	27	123	)	)	PUNCT
cana-3850	27	124	m	m	VERB
cana-3850	27	125	’	'	PUNCT
cana-3850	28	1	+	+	NUM
cana-3850	28	2	v	v	NOUN
cana-3850	28	3	’	'	PUNCT
cana-3850	28	4	=	=	SYM
cana-3850	28	5	(	(	PUNCT
cana-3850	28	6	m1	m1	NOUN
cana-3850	28	7	,	,	PUNCT
cana-3850	28	8	m2,m3,m4	m2,m3,m4	NUM
cana-3850	28	9	)	)	PUNCT
cana-3850	28	10	+	+	CCONJ
cana-3850	28	11	(	(	PUNCT
cana-3850	28	12	v1	v1	NOUN
cana-3850	28	13	,	,	PUNCT
cana-3850	28	14	v2	v2	PROPN
cana-3850	28	15	,	,	PUNCT
cana-3850	28	16	v3	v3	PROPN
cana-3850	28	17	,	,	PUNCT
cana-3850	28	18	v4	v4	NOUN
cana-3850	28	19	)	)	PUNCT
cana-3850	28	20	=	=	PRON
cana-3850	28	21	(	(	PUNCT
cana-3850	28	22	m1+v1	m1+v1	PROPN
cana-3850	28	23	,	,	PUNCT
cana-3850	28	24	m2+v2	m2+v2	PROPN
cana-3850	28	25	,	,	PUNCT
cana-3850	28	26	m3+v3	m3+v3	PROPN
cana-3850	28	27	,	,	PUNCT
cana-3850	28	28	m4+v4	m4+v4	PROPN
cana-3850	28	29	)	)	PUNCT
cana-3850	28	30	(	(	PUNCT
cana-3850	28	31	ii	ii	NOUN
cana-3850	28	32	)	)	PUNCT
cana-3850	28	33	m	m	PROPN
cana-3850	28	34	’	'	PUNCT
cana-3850	28	35	–	–	PUNCT
cana-3850	28	36	v	v	NOUN
cana-3850	28	37	’	'	PUNCT
cana-3850	28	38	=	=	SYM
cana-3850	28	39	(	(	PUNCT
cana-3850	28	40	m1	m1	NOUN
cana-3850	28	41	,	,	PUNCT
cana-3850	28	42	m2,m3,m4	m2,m3,m4	NUM
cana-3850	28	43	)	)	PUNCT
cana-3850	28	44	(	(	PUNCT
cana-3850	28	45	v1	v1	NOUN
cana-3850	28	46	,	,	PUNCT
cana-3850	28	47	v2	v2	PROPN
cana-3850	28	48	,	,	PUNCT
cana-3850	28	49	v3	v3	PROPN
cana-3850	28	50	,	,	PUNCT
cana-3850	28	51	v4	v4	NOUN
cana-3850	28	52	)	)	PUNCT
cana-3850	28	53	=	=	SYM
cana-3850	29	1	(	(	PUNCT
cana-3850	29	2	m1	m1	NOUN
cana-3850	29	3	-	-	PUNCT
cana-3850	29	4	v2	v2	PROPN
cana-3850	29	5	,	,	PUNCT
cana-3850	29	6	m2	m2	PROPN
cana-3850	29	7	–	–	PUNCT
cana-3850	29	8	v1	v1	NOUN
cana-3850	29	9	,	,	PUNCT
cana-3850	29	10	m3+v4	m3+v4	PROPN
cana-3850	29	11	,	,	PUNCT
cana-3850	29	12	m4+v3	m4+v3	PROPN
cana-3850	29	13	)	)	PUNCT
cana-3850	29	14	(	(	PUNCT
cana-3850	29	15	iii)m’v	iii)m’v	PROPN
cana-3850	29	16	’	'	PUNCT
cana-3850	29	17	=	=	SYM
cana-3850	29	18	(	(	PUNCT
cana-3850	29	19	m1	m1	NOUN
cana-3850	29	20	,	,	PUNCT
cana-3850	29	21	m2,m3,m4	m2,m3,m4	NUM
cana-3850	29	22	)	)	PUNCT
cana-3850	29	23	.	.	PUNCT
cana-3850	30	1	(	(	PUNCT
cana-3850	30	2	v1	v1	NOUN
cana-3850	30	3	,	,	PUNCT
cana-3850	30	4	v2	v2	PROPN
cana-3850	30	5	,	,	PUNCT
cana-3850	30	6	v3	v3	PROPN
cana-3850	30	7	,	,	PUNCT
cana-3850	30	8	v4)=	v4)=	PROPN
cana-3850	30	9	(	(	PUNCT
cana-3850	30	10	m1v1	m1v1	ADJ
cana-3850	30	11	,	,	PUNCT
cana-3850	30	12	m2v2	m2v2	ADJ
cana-3850	30	13	,	,	PUNCT
cana-3850	30	14	m1v3	m1v3	PROPN
cana-3850	30	15	+	+	CCONJ
cana-3850	30	16	m3v1	m3v1	PROPN
cana-3850	30	17	,	,	PUNCT
cana-3850	30	18	m2v4+v2m4	m2v4+v2m4	PROPN
cana-3850	30	19	)	)	PUNCT
cana-3850	30	20	(	(	PUNCT
cana-3850	30	21	iv	iv	X
cana-3850	30	22	)	)	PUNCT
cana-3850	30	23	m	m	NOUN
cana-3850	30	24	’	'	PUNCT
cana-3850	30	25	v′	v′	NOUN
cana-3850	30	26	=	=	SYM
cana-3850	30	27	(	(	PUNCT
cana-3850	30	28	m1,m2,m3,m4	m1,m2,m3,m4	PROPN
cana-3850	30	29	)	)	PUNCT
cana-3850	30	30	(	(	PUNCT
cana-3850	30	31	v1,v2,v3,v4	v1,v2,v3,v4	PROPN
cana-3850	30	32	)	)	PUNCT
cana-3850	30	33	=	=	SYM
cana-3850	31	1	(	(	PUNCT
cana-3850	31	2	m1	m1	PROPN
cana-3850	31	3	v2	v2	PROPN
cana-3850	31	4	,	,	PUNCT
cana-3850	31	5	m2	m2	PROPN
cana-3850	31	6	v1	v1	PROPN
cana-3850	31	7	,	,	PUNCT
cana-3850	31	8	m3	m3	PROPN
cana-3850	31	9	v4	v4	PROPN
cana-3850	31	10	,	,	PUNCT
cana-3850	31	11	m4	m4	PROPN
cana-3850	31	12	v3	v3	PROPN
cana-3850	31	13	)	)	PUNCT
cana-3850	31	14	(	(	PUNCT
cana-3850	31	15	v	v	NOUN
cana-3850	31	16	)	)	PUNCT
cana-3850	31	17	λ	λ	PROPN
cana-3850	31	18	(	(	PUNCT
cana-3850	31	19	m1	m1	NOUN
cana-3850	31	20	,	,	PUNCT
cana-3850	31	21	m2,m3,m4	m2,m3,m4	NUM
cana-3850	31	22	)	)	PUNCT
cana-3850	31	23	=	=	SYM
cana-3850	31	24	(	(	PUNCT
cana-3850	31	25	λm1	λm1	PROPN
cana-3850	31	26	,	,	PUNCT
cana-3850	31	27	λm2	λm2	PROPN
cana-3850	31	28	,	,	PUNCT
cana-3850	31	29	λm3	λm3	PROPN
cana-3850	31	30	,	,	PUNCT
cana-3850	31	31	λm4	λm4	NOUN
cana-3850	31	32	)	)	PUNCT
cana-3850	31	33	(	(	PUNCT
cana-3850	31	34	vi	vi	NOUN
cana-3850	31	35	)	)	PUNCT
cana-3850	31	36	1	1	NUM
cana-3850	31	37	/	/	SYM
cana-3850	31	38	λ	λ	PROPN
cana-3850	31	39	(	(	PUNCT
cana-3850	31	40	m1	m1	NOUN
cana-3850	31	41	,	,	PUNCT
cana-3850	31	42	m2,m3,m4	m2,m3,m4	NOUN
cana-3850	31	43	)	)	PUNCT
cana-3850	31	44	=(	=(	NOUN
cana-3850	31	45	m1	m1	PROPN
cana-3850	31	46	/	/	SYM
cana-3850	31	47	λ	λ	PROPN
cana-3850	31	48	,	,	PUNCT
cana-3850	31	49	m2	m2	PROPN
cana-3850	31	50	/	/	SYM
cana-3850	31	51	λ	λ	PROPN
cana-3850	31	52	,	,	PUNCT
cana-3850	31	53	m3	m3	PROPN
cana-3850	31	54	/	/	SYM
cana-3850	31	55	λ	λ	PROPN
cana-3850	31	56	,	,	PUNCT
cana-3850	31	57	m4	m4	PROPN
cana-3850	31	58	/	/	SYM
cana-3850	31	59	λ	λ	PROPN
cana-3850	31	60	)	)	PUNCT
cana-3850	31	61	d.	d.	PROPN
cana-3850	31	62	representation	representation	NOUN
cana-3850	31	63	of	of	ADP
cana-3850	31	64	trapezoidal	trapezoidal	ADJ
cana-3850	31	65	fuzzy	fuzzy	ADJ
cana-3850	31	66	numbers	number	NOUN
cana-3850	31	67	of	of	ADP
cana-3850	31	68	lr	lr	NOUN
cana-3850	31	69	type	type	NOUN
cana-3850	31	70	:	:	PUNCT
cana-3850	31	71	trapezoidal	trapezoidal	ADJ
cana-3850	31	72	fuzzy	fuzzy	ADJ
cana-3850	31	73	numbers	number	NOUN
cana-3850	31	74	are	be	AUX
cana-3850	31	75	represented	represent	VERB
cana-3850	31	76	as	as	ADP
cana-3850	31	77	f̃(s	f̃(s	PROPN
cana-3850	31	78	,	,	PUNCT
cana-3850	31	79	t	t	PROPN
cana-3850	31	80	,	,	PUNCT
cana-3850	31	81	m	m	PROPN
cana-3850	31	82	,	,	PUNCT
cana-3850	31	83	v	v	NOUN
cana-3850	31	84	)	)	PUNCT
cana-3850	31	85	.	.	PUNCT
cana-3850	32	1	these	these	DET
cana-3850	32	2	trapezoidal	trapezoidal	ADJ
cana-3850	32	3	fuzzy	fuzzy	ADJ
cana-3850	32	4	numbers	number	NOUN
cana-3850	32	5	can	can	AUX
cana-3850	32	6	be	be	AUX
cana-3850	32	7	written	write	VERB
cana-3850	32	8	as	as	ADP
cana-3850	32	9	f̃(s	f̃(s	PROPN
cana-3850	32	10	,	,	PUNCT
cana-3850	32	11	t	t	PROPN
cana-3850	32	12	,	,	PUNCT
cana-3850	32	13	m	m	PROPN
cana-3850	32	14	,	,	PUNCT
cana-3850	32	15	v	v	NOUN
cana-3850	32	16	)	)	PUNCT
cana-3850	32	17	=	=	PUNCT
cana-3850	32	18	<	<	X
cana-3850	32	19	t	t	PROPN
cana-3850	32	20	,	,	PUNCT
cana-3850	32	21	m	m	PROPN
cana-3850	32	22	,	,	PUNCT
cana-3850	32	23	t	t	PROPN
cana-3850	32	24	-	-	PUNCT
cana-3850	32	25	s	s	PROPN
cana-3850	32	26	,	,	PUNCT
cana-3850	32	27	v	v	NOUN
cana-3850	32	28	-	-	VERB
cana-3850	32	29	m	m	NOUN
cana-3850	32	30	>	>	X
cana-3850	32	31	where	where	SCONJ
cana-3850	32	32	t	t	NOUN
cana-3850	32	33	,	,	PUNCT
cana-3850	32	34	m	m	VERB
cana-3850	32	35	are	be	AUX
cana-3850	32	36	spreads	spread	NOUN
cana-3850	32	37	under	under	ADP
cana-3850	32	38	left	left	ADJ
cana-3850	32	39	and	and	CCONJ
cana-3850	32	40	right	right	ADJ
cana-3850	32	41	patterns	pattern	NOUN
cana-3850	32	42	respectively	respectively	ADV
cana-3850	32	43	using	use	VERB
cana-3850	32	44	lr	lr	NOUN
cana-3850	32	45	representation	representation	NOUN
cana-3850	32	46	technique	technique	NOUN
cana-3850	32	47	.	.	PUNCT
cana-3850	33	1	3	3	X
cana-3850	33	2	.	.	X
cana-3850	33	3	performance	performance	NOUN
cana-3850	33	4	measure	measure	NOUN
cana-3850	33	5	under	under	ADP
cana-3850	33	6	constant	constant	ADJ
cana-3850	33	7	fuzzy	fuzzy	ADJ
cana-3850	33	8	dispersion	dispersion	NOUN
cana-3850	33	9	with	with	ADP
cana-3850	33	10	infinite	infinite	ADJ
cana-3850	33	11	source	source	NOUN
cana-3850	33	12	population	population	NOUN
cana-3850	33	13	:	:	PUNCT
cana-3850	33	14	the	the	DET
cana-3850	33	15	queueing	queue	VERB
cana-3850	33	16	pattern	pattern	NOUN
cana-3850	33	17	(	(	PUNCT
cana-3850	33	18	fm	fm	NOUN
cana-3850	33	19	/	/	SYM
cana-3850	33	20	fd/1	fd/1	ADJ
cana-3850	33	21	)	)	PUNCT
cana-3850	33	22	∶	∶	NOUN
cana-3850	33	23	(	(	PUNCT
cana-3850	33	24	∞/fcfs	∞/fcfs	X
cana-3850	33	25	)	)	PUNCT
cana-3850	33	26	is	be	AUX
cana-3850	33	27	considered	consider	VERB
cana-3850	33	28	with	with	ADP
cana-3850	33	29	population	population	NOUN
cana-3850	33	30	source	source	NOUN
cana-3850	33	31	under	under	ADP
cana-3850	33	32	unlimited	unlimited	ADJ
cana-3850	33	33	pattern	pattern	NOUN
cana-3850	33	34	with	with	ADP
cana-3850	33	35	the	the	DET
cana-3850	33	36	constant	constant	ADJ
cana-3850	33	37	fuzzified	fuzzified	ADJ
cana-3850	33	38	dispersion	dispersion	NOUN
cana-3850	33	39	having	have	VERB
cana-3850	33	40	average	average	ADJ
cana-3850	33	41	expected	expect	VERB
cana-3850	33	42	arrival	arrival	NOUN
cana-3850	33	43	and	and	CCONJ
cana-3850	33	44	service	service	NOUN
cana-3850	33	45	intervals	interval	NOUN
cana-3850	33	46	undergoing	undergo	VERB
cana-3850	33	47	distributions	distribution	NOUN
cana-3850	33	48	exponentially	exponentially	ADV
cana-3850	33	49	with	with	ADP
cana-3850	33	50	arrival	arrival	NOUN
cana-3850	33	51	and	and	CCONJ
cana-3850	33	52	service	service	NOUN
cana-3850	33	53	rates	rate	NOUN
cana-3850	33	54	having	have	VERB
cana-3850	33	55	‘	'	PUNCT
cana-3850	33	56	λ	λ	NOUN
cana-3850	33	57	’	'	PUNCT
cana-3850	33	58	and	and	CCONJ
cana-3850	33	59	‘	'	PUNCT
cana-3850	33	60	µ’respectively	µ’respectively	ADV
cana-3850	33	61	.	.	PUNCT
cana-3850	34	1	the	the	DET
cana-3850	34	2	structural	structural	ADJ
cana-3850	34	3	performance	performance	NOUN
cana-3850	34	4	measures	measure	NOUN
cana-3850	34	5	specifically	specifically	ADV
cana-3850	34	6	expected	expect	VERB
cana-3850	34	7	customer	customer	NOUN
cana-3850	34	8	rate	rate	NOUN
cana-3850	34	9	and	and	CCONJ
cana-3850	34	10	delayed	delay	VERB
cana-3850	34	11	customer	customer	NOUN
cana-3850	34	12	rate	rate	NOUN
cana-3850	34	13	in	in	ADP
cana-3850	34	14	the	the	DET
cana-3850	34	15	system	system	NOUN
cana-3850	34	16	,	,	PUNCT
cana-3850	34	17	queue	queue	NOUN
cana-3850	34	18	are	be	AUX
cana-3850	34	19	given	give	VERB
cana-3850	34	20	by	by	ADP
cana-3850	34	21	the	the	DET
cana-3850	34	22	respective	respective	ADJ
cana-3850	34	23	formulas	formula	NOUN
cana-3850	34	24	.	.	PUNCT
cana-3850	35	1	➢	➢	VERB
cana-3850	35	2	𝐿𝑠	𝐿𝑠	NOUN
cana-3850	35	3	=	=	NOUN
cana-3850	35	4	𝜌2	𝜌2	ADJ
cana-3850	35	5	2(1−𝜌	2(1−𝜌	NUM
cana-3850	35	6	)	)	PUNCT
cana-3850	36	1	+	+	CCONJ
cana-3850	36	2	𝜌	𝜌	DET
cana-3850	36	3	➢	➢	X
cana-3850	37	1	𝐿𝑞	𝐿𝑞	NOUN
cana-3850	37	2	=	=	SYM
cana-3850	37	3	𝜌2	𝜌2	ADJ
cana-3850	37	4	2(1−𝜌	2(1−𝜌	NUM
cana-3850	37	5	)	)	PUNCT
cana-3850	37	6	➢	➢	VERB
cana-3850	37	7	𝑊𝑞=	𝑊𝑞=	PROPN
cana-3850	37	8	𝜌	𝜌	X
cana-3850	37	9	2(1−𝜌)𝜇	2(1−𝜌)𝜇	NUM
cana-3850	37	10	➢	➢	VERB
cana-3850	37	11	𝑊𝑠=	𝑊𝑠=	X
cana-3850	37	12	𝜌	𝜌	ADP
cana-3850	37	13	2(1−𝜌)𝜇	2(1−𝜌)𝜇	NUM
cana-3850	37	14	+	+	SYM
cana-3850	37	15	1	1	NUM
cana-3850	37	16	𝜇	𝜇	ADP
cana-3850	37	17	where	where	SCONJ
cana-3850	37	18	ρ	ρ	NOUN
cana-3850	37	19	=	=	SYM
cana-3850	37	20	λ	λ	X
cana-3850	37	21	𝜇	𝜇	ADP
cana-3850	37	22	,	,	PUNCT
cana-3850	37	23	the	the	DET
cana-3850	37	24	utilization	utilization	NOUN
cana-3850	37	25	factor	factor	NOUN
cana-3850	37	26	or	or	CCONJ
cana-3850	37	27	traffic	traffic	NOUN
cana-3850	37	28	intensity	intensity	NOUN
cana-3850	37	29	.	.	PUNCT
cana-3850	38	1	communications	communication	NOUN
cana-3850	38	2	on	on	ADP
cana-3850	38	3	applied	apply	VERB
cana-3850	38	4	nonlinear	nonlinear	ADJ
cana-3850	38	5	analysis	analysis	NOUN
cana-3850	38	6	issn	issn	NOUN
cana-3850	38	7	:	:	PUNCT
cana-3850	38	8	1074	1074	NUM
cana-3850	38	9	-	-	PUNCT
cana-3850	38	10	133x	133x	NUM
cana-3850	38	11	vol	vol	NOUN
cana-3850	38	12	32	32	NUM
cana-3850	38	13	no	no	NOUN
cana-3850	38	14	.	.	PUNCT
cana-3850	39	1	9s	9s	NUM
cana-3850	39	2	(	(	PUNCT
cana-3850	39	3	2025	2025	NUM
cana-3850	39	4	)	)	PUNCT
cana-3850	39	5	211	211	NUM
cana-3850	40	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3850	40	2	4	4	NUM
cana-3850	40	3	.	.	PUNCT
cana-3850	40	4	numerical	numerical	PROPN
cana-3850	40	5	example	example	NOUN
cana-3850	40	6	a	a	DET
cana-3850	40	7	queueing	queue	VERB
cana-3850	40	8	model	model	NOUN
cana-3850	40	9	(	(	PUNCT
cana-3850	40	10	fm	fm	PROPN
cana-3850	40	11	/	/	SYM
cana-3850	40	12	fd/1):(∞/fcfs	fd/1):(∞/fcfs	PROPN
cana-3850	40	13	)	)	PUNCT
cana-3850	40	14	is	be	AUX
cana-3850	40	15	examined	examine	VERB
cana-3850	40	16	with	with	ADP
cana-3850	40	17	the	the	DET
cana-3850	40	18	average	average	ADJ
cana-3850	40	19	expected	expect	VERB
cana-3850	40	20	arrival	arrival	NOUN
cana-3850	40	21	and	and	CCONJ
cana-3850	40	22	service	service	NOUN
cana-3850	40	23	intervals	interval	NOUN
cana-3850	40	24	using	use	VERB
cana-3850	40	25	trapezoidal	trapezoidal	ADJ
cana-3850	40	26	fuzzy	fuzzy	ADJ
cana-3850	40	27	numbers	number	NOUN
cana-3850	40	28	followed	follow	VERB
cana-3850	40	29	by	by	ADP
cana-3850	40	30	λ	λ	X
cana-3850	40	31	=	=	SYM
cana-3850	40	32	(	(	PUNCT
cana-3850	40	33	1,2,3,4	1,2,3,4	NUM
cana-3850	40	34	)	)	PUNCT
cana-3850	40	35	and	and	CCONJ
cana-3850	40	36	µ	µ	X
cana-3850	40	37	=	=	SYM
cana-3850	40	38	(	(	PUNCT
cana-3850	40	39	11,12,13,14	11,12,13,14	ADV
cana-3850	40	40	)	)	PUNCT
cana-3850	40	41	.	.	PUNCT
cana-3850	41	1	in	in	ADP
cana-3850	41	2	lr	lr	PROPN
cana-3850	41	3	type	type	NOUN
cana-3850	41	4	,	,	PUNCT
cana-3850	41	5	the	the	DET
cana-3850	41	6	average	average	ADJ
cana-3850	41	7	expected	expect	VERB
cana-3850	41	8	arrival	arrival	NOUN
cana-3850	41	9	and	and	CCONJ
cana-3850	41	10	service	service	NOUN
cana-3850	41	11	intervals	interval	NOUN
cana-3850	41	12	using	use	VERB
cana-3850	41	13	trapezoidal	trapezoidal	ADJ
cana-3850	41	14	fuzzy	fuzzy	ADJ
cana-3850	41	15	numbers	number	NOUN
cana-3850	41	16	of	of	ADP
cana-3850	41	17	lr	lr	NOUN
cana-3850	41	18	type	type	NOUN
cana-3850	41	19	followed	follow	VERB
cana-3850	41	20	by	by	ADP
cana-3850	41	21	λ	λ	PROPN
cana-3850	41	22	=	=	SYM
cana-3850	41	23	(	(	PUNCT
cana-3850	41	24	2,3,1,1	2,3,1,1	NUM
cana-3850	41	25	)	)	PUNCT
cana-3850	41	26	and	and	CCONJ
cana-3850	41	27	µ=	µ=	NOUN
cana-3850	41	28	(	(	PUNCT
cana-3850	41	29	12,13,1,1	12,13,1,1	NUM
cana-3850	41	30	)	)	PUNCT
cana-3850	41	31	.	.	PUNCT
cana-3850	42	1	to	to	PART
cana-3850	42	2	find	find	VERB
cana-3850	42	3	the	the	DET
cana-3850	42	4	value	value	NOUN
cana-3850	42	5	of	of	ADP
cana-3850	42	6	:	:	PUNCT
cana-3850	42	7	ρ	ρ	PROPN
cana-3850	42	8	=	=	SYM
cana-3850	42	9	λ	λ	X
cana-3850	42	10	𝜇	𝜇	ADP
cana-3850	42	11	=	=	X
cana-3850	42	12	(	(	PUNCT
cana-3850	42	13	2,3,1,1	2,3,1,1	NUM
cana-3850	42	14	)	)	PUNCT
cana-3850	42	15	(	(	PUNCT
cana-3850	42	16	12,13,1,1	12,13,1,1	NUM
cana-3850	42	17	)	)	PUNCT
cana-3850	42	18	=	=	PUNCT
cana-3850	42	19	(	(	PUNCT
cana-3850	42	20	2	2	NUM
cana-3850	42	21	13	13	NUM
cana-3850	42	22	,	,	PUNCT
cana-3850	42	23	3	3	NUM
cana-3850	42	24	12	12	NUM
cana-3850	42	25	,	,	PUNCT
cana-3850	42	26	1	1	NUM
cana-3850	42	27	,	,	PUNCT
cana-3850	42	28	1	1	NUM
cana-3850	42	29	)	)	PUNCT
cana-3850	42	30	=	=	SYM
cana-3850	42	31	(	(	PUNCT
cana-3850	42	32	0.1538	0.1538	NUM
cana-3850	42	33	,	,	PUNCT
cana-3850	42	34	0.25	0.25	NUM
cana-3850	42	35	,	,	PUNCT
cana-3850	42	36	1	1	NUM
cana-3850	42	37	,	,	PUNCT
cana-3850	42	38	1	1	X
cana-3850	42	39	)	)	PUNCT
cana-3850	42	40	average	average	ADJ
cana-3850	42	41	customer	customer	NOUN
cana-3850	42	42	rate	rate	NOUN
cana-3850	42	43	in	in	ADP
cana-3850	42	44	the	the	DET
cana-3850	42	45	system	system	NOUN
cana-3850	42	46	(	(	PUNCT
cana-3850	42	47	𝑳𝒔	𝑳𝒔	PROPN
cana-3850	42	48	):	):	PUNCT
cana-3850	42	49	𝐿𝑠	𝐿𝑠	PROPN
cana-3850	42	50	=	=	PUNCT
cana-3850	42	51	𝜌2	𝜌2	ADJ
cana-3850	42	52	2(1−𝜌	2(1−𝜌	NUM
cana-3850	42	53	)	)	PUNCT
cana-3850	43	1	+	+	CCONJ
cana-3850	43	2	𝜌	𝜌	X
cana-3850	43	3	=	=	SYM
cana-3850	43	4	(	(	PUNCT
cana-3850	43	5	0.1538,0.25,1,1)2	0.1538,0.25,1,1)2	NUM
cana-3850	43	6	2(1	2(1	NUM
cana-3850	43	7	−	−	NOUN
cana-3850	43	8	λ	λ	INTJ
cana-3850	43	9	𝜇	𝜇	X
cana-3850	43	10	)	)	PUNCT
cana-3850	43	11	+	+	CCONJ
cana-3850	43	12	(	(	PUNCT
cana-3850	43	13	0.1538	0.1538	NUM
cana-3850	43	14	,	,	PUNCT
cana-3850	43	15	0.25	0.25	NUM
cana-3850	43	16	,	,	PUNCT
cana-3850	43	17	1	1	NUM
cana-3850	43	18	,	,	PUNCT
cana-3850	43	19	1	1	NUM
cana-3850	43	20	)	)	PUNCT
cana-3850	43	21	=	=	NOUN
cana-3850	43	22	(	(	PUNCT
cana-3850	43	23	0.1538,0.25,1,1)2	0.1538,0.25,1,1)2	NUM
cana-3850	43	24	2	2	NUM
cana-3850	43	25	(	(	PUNCT
cana-3850	43	26	μ−λ	μ−λ	NOUN
cana-3850	43	27	𝜇	𝜇	ADP
cana-3850	43	28	)	)	PUNCT
cana-3850	43	29	+	+	CCONJ
cana-3850	43	30	(	(	PUNCT
cana-3850	43	31	0.1538	0.1538	NUM
cana-3850	43	32	,	,	PUNCT
cana-3850	43	33	0.25	0.25	NUM
cana-3850	43	34	,	,	PUNCT
cana-3850	43	35	1	1	NUM
cana-3850	43	36	,	,	PUNCT
cana-3850	43	37	1	1	NUM
cana-3850	43	38	)	)	PUNCT
cana-3850	43	39	=	=	NOUN
cana-3850	43	40	(	(	PUNCT
cana-3850	43	41	0.1538,0.25,1,1)2	0.1538,0.25,1,1)2	NUM
cana-3850	43	42	2	2	NUM
cana-3850	43	43	(	(	PUNCT
cana-3850	43	44	(	(	PUNCT
cana-3850	43	45	12,13,1,1	12,13,1,1	NUM
cana-3850	43	46	)	)	PUNCT
cana-3850	43	47	−	−	PROPN
cana-3850	43	48	(	(	PUNCT
cana-3850	43	49	2,3,1,1	2,3,1,1	NUM
cana-3850	43	50	)	)	PUNCT
cana-3850	43	51	(	(	PUNCT
cana-3850	43	52	12,13,1,1	12,13,1,1	NUM
cana-3850	43	53	)	)	PUNCT
cana-3850	43	54	)	)	PUNCT
cana-3850	44	1	+	+	CCONJ
cana-3850	44	2	(	(	PUNCT
cana-3850	44	3	0.1538	0.1538	NUM
cana-3850	44	4	,	,	PUNCT
cana-3850	44	5	0.25	0.25	NUM
cana-3850	44	6	,	,	PUNCT
cana-3850	44	7	1	1	NUM
cana-3850	44	8	,	,	PUNCT
cana-3850	44	9	1	1	NUM
cana-3850	44	10	)	)	PUNCT
cana-3850	44	11	=	=	NOUN
cana-3850	44	12	(	(	PUNCT
cana-3850	44	13	0.1538,0.25,1,1)2	0.1538,0.25,1,1)2	NUM
cana-3850	44	14	2	2	NUM
cana-3850	44	15	(	(	PUNCT
cana-3850	44	16	(	(	PUNCT
cana-3850	44	17	9,11,2,2	9,11,2,2	NOUN
cana-3850	44	18	)	)	PUNCT
cana-3850	44	19	(	(	PUNCT
cana-3850	44	20	12,13,1,1	12,13,1,1	NUM
cana-3850	44	21	)	)	PUNCT
cana-3850	44	22	)	)	PUNCT
cana-3850	45	1	+	+	CCONJ
cana-3850	45	2	(	(	PUNCT
cana-3850	45	3	0.1538	0.1538	NUM
cana-3850	45	4	,	,	PUNCT
cana-3850	45	5	0.25	0.25	NUM
cana-3850	45	6	,	,	PUNCT
cana-3850	45	7	1	1	NUM
cana-3850	45	8	,	,	PUNCT
cana-3850	45	9	1	1	NUM
cana-3850	45	10	)	)	PUNCT
cana-3850	45	11	=	=	SYM
cana-3850	45	12	(	(	PUNCT
cana-3850	45	13	0.1538,0.25,1,1)2	0.1538,0.25,1,1)2	X
cana-3850	45	14	2(0.6923,0.9166,2,2	2(0.6923,0.9166,2,2	NUM
cana-3850	45	15	)	)	PUNCT
cana-3850	45	16	+	+	CCONJ
cana-3850	45	17	(	(	PUNCT
cana-3850	45	18	0.1538	0.1538	NUM
cana-3850	45	19	,	,	PUNCT
cana-3850	45	20	0.25	0.25	NUM
cana-3850	45	21	,	,	PUNCT
cana-3850	45	22	1	1	NUM
cana-3850	45	23	,	,	PUNCT
cana-3850	45	24	1	1	NUM
cana-3850	45	25	)	)	PUNCT
cana-3850	45	26	=	=	SYM
cana-3850	45	27	(	(	PUNCT
cana-3850	45	28	0.0236,0.0625,0.3076,0.5	0.0236,0.0625,0.3076,0.5	NUM
cana-3850	45	29	)	)	PUNCT
cana-3850	45	30	(	(	PUNCT
cana-3850	45	31	1.3846,1.8332,4,4	1.3846,1.8332,4,4	NUM
cana-3850	45	32	)	)	PUNCT
cana-3850	46	1	+	+	CCONJ
cana-3850	46	2	(	(	PUNCT
cana-3850	46	3	0.1538	0.1538	NUM
cana-3850	46	4	,	,	PUNCT
cana-3850	46	5	0.25	0.25	NUM
cana-3850	46	6	,	,	PUNCT
cana-3850	46	7	1	1	NUM
cana-3850	46	8	,	,	PUNCT
cana-3850	46	9	1	1	NUM
cana-3850	46	10	)	)	PUNCT
cana-3850	46	11	=	=	NOUN
cana-3850	46	12	(	(	PUNCT
cana-3850	46	13	0.0128	0.0128	NUM
cana-3850	46	14	,	,	PUNCT
cana-3850	46	15	0.0451	0.0451	NUM
cana-3850	46	16	,	,	PUNCT
cana-3850	46	17	0.0769	0.0769	NUM
cana-3850	46	18	,	,	PUNCT
cana-3850	46	19	0.125	0.125	NUM
cana-3850	46	20	)	)	PUNCT
cana-3850	47	1	+	+	CCONJ
cana-3850	47	2	(	(	PUNCT
cana-3850	47	3	0.1538	0.1538	NUM
cana-3850	47	4	,	,	PUNCT
cana-3850	47	5	0.25	0.25	NUM
cana-3850	47	6	,	,	PUNCT
cana-3850	47	7	1	1	NUM
cana-3850	47	8	,	,	PUNCT
cana-3850	47	9	1	1	NUM
cana-3850	47	10	)	)	PUNCT
cana-3850	47	11	=	=	SYM
cana-3850	47	12	(	(	PUNCT
cana-3850	47	13	0.1666	0.1666	NUM
cana-3850	47	14	,	,	PUNCT
cana-3850	47	15	0.2951	0.2951	NUM
cana-3850	47	16	,	,	PUNCT
cana-3850	47	17	1.0769	1.0769	NUM
cana-3850	47	18	,	,	PUNCT
cana-3850	47	19	1.125	1.125	NUM
cana-3850	47	20	)	)	PUNCT
cana-3850	47	21	therefore	therefore	ADV
cana-3850	47	22	,	,	PUNCT
cana-3850	47	23	𝐿𝑠	𝐿𝑠	PROPN
cana-3850	47	24	ranges	range	VERB
cana-3850	47	25	in	in	ADP
cana-3850	47	26	(	(	PUNCT
cana-3850	47	27	0.1666	0.1666	NUM
cana-3850	47	28	,	,	PUNCT
cana-3850	47	29	0.2951	0.2951	NUM
cana-3850	47	30	)	)	PUNCT
cana-3850	47	31	.	.	PUNCT
cana-3850	48	1	average	average	ADJ
cana-3850	48	2	customer	customer	NOUN
cana-3850	48	3	rate	rate	NOUN
cana-3850	48	4	in	in	ADP
cana-3850	48	5	the	the	DET
cana-3850	48	6	queue	queue	NOUN
cana-3850	48	7	(	(	PUNCT
cana-3850	48	8	𝑳𝒒	𝑳𝒒	NOUN
cana-3850	48	9	):	):	PUNCT
cana-3850	48	10	➢	➢	X
cana-3850	49	1	𝐿𝑞	𝐿𝑞	NOUN
cana-3850	49	2	=	=	PUNCT
cana-3850	49	3	𝜌2	𝜌2	ADJ
cana-3850	49	4	2(1−𝜌	2(1−𝜌	NUM
cana-3850	49	5	)	)	PUNCT
cana-3850	50	1	=	=	SYM
cana-3850	50	2	(	(	PUNCT
cana-3850	50	3	0.1538,0.25,1,1)2	0.1538,0.25,1,1)2	NUM
cana-3850	50	4	2(1	2(1	NUM
cana-3850	50	5	−	−	NOUN
cana-3850	50	6	λ	λ	INTJ
cana-3850	50	7	𝜇	𝜇	ADP
cana-3850	50	8	)	)	PUNCT
cana-3850	50	9	=	=	SYM
cana-3850	50	10	(	(	PUNCT
cana-3850	50	11	0.1538,0.25,1,1)2	0.1538,0.25,1,1)2	NUM
cana-3850	50	12	2	2	NUM
cana-3850	50	13	(	(	PUNCT
cana-3850	50	14	μ−λ	μ−λ	NOUN
cana-3850	50	15	𝜇	𝜇	ADP
cana-3850	50	16	)	)	PUNCT
cana-3850	50	17	=	=	SYM
cana-3850	50	18	(	(	PUNCT
cana-3850	50	19	0.1538,0.25,1,1)2	0.1538,0.25,1,1)2	NUM
cana-3850	50	20	2	2	NUM
cana-3850	50	21	(	(	PUNCT
cana-3850	50	22	(	(	PUNCT
cana-3850	50	23	12,13,1,1	12,13,1,1	NUM
cana-3850	50	24	)	)	PUNCT
cana-3850	50	25	−	−	PROPN
cana-3850	50	26	(	(	PUNCT
cana-3850	50	27	2,3,1,1	2,3,1,1	NUM
cana-3850	50	28	)	)	PUNCT
cana-3850	50	29	(	(	PUNCT
cana-3850	50	30	12,13,1,1	12,13,1,1	NUM
cana-3850	50	31	)	)	PUNCT
cana-3850	50	32	)	)	PUNCT
cana-3850	51	1	=	=	PUNCT
cana-3850	51	2	(	(	PUNCT
cana-3850	51	3	0.1538,0.25,1,1)2	0.1538,0.25,1,1)2	NUM
cana-3850	51	4	2	2	NUM
cana-3850	51	5	(	(	PUNCT
cana-3850	51	6	(	(	PUNCT
cana-3850	51	7	9,11,2,2	9,11,2,2	NOUN
cana-3850	51	8	)	)	PUNCT
cana-3850	51	9	(	(	PUNCT
cana-3850	51	10	12,13,1,1	12,13,1,1	NUM
cana-3850	51	11	)	)	PUNCT
cana-3850	51	12	)	)	PUNCT
cana-3850	52	1	=	=	PUNCT
cana-3850	52	2	(	(	PUNCT
cana-3850	52	3	0.1538,0.25,1,1)2	0.1538,0.25,1,1)2	X
cana-3850	52	4	2(0.6923,0.9166,2,2	2(0.6923,0.9166,2,2	NUM
cana-3850	52	5	)	)	PUNCT
cana-3850	52	6	=	=	SYM
cana-3850	52	7	(	(	PUNCT
cana-3850	52	8	0.0236,0.0625,0.3076,0.5	0.0236,0.0625,0.3076,0.5	NUM
cana-3850	52	9	)	)	PUNCT
cana-3850	52	10	(	(	PUNCT
cana-3850	52	11	1.3846,1.8332,4,4	1.3846,1.8332,4,4	NUM
cana-3850	52	12	)	)	PUNCT
cana-3850	52	13	=	=	SYM
cana-3850	52	14	(	(	PUNCT
cana-3850	52	15	0.0128	0.0128	NUM
cana-3850	52	16	,	,	PUNCT
cana-3850	52	17	0.0451	0.0451	NUM
cana-3850	52	18	,	,	PUNCT
cana-3850	52	19	0.0769	0.0769	NUM
cana-3850	52	20	,	,	PUNCT
cana-3850	52	21	0.125	0.125	NUM
cana-3850	52	22	)	)	PUNCT
cana-3850	52	23	communications	communication	NOUN
cana-3850	52	24	on	on	ADP
cana-3850	52	25	applied	apply	VERB
cana-3850	52	26	nonlinear	nonlinear	ADJ
cana-3850	52	27	analysis	analysis	NOUN
cana-3850	52	28	issn	issn	NOUN
cana-3850	52	29	:	:	PUNCT
cana-3850	52	30	1074	1074	NUM
cana-3850	52	31	-	-	PUNCT
cana-3850	52	32	133x	133x	NUM
cana-3850	52	33	vol	vol	NOUN
cana-3850	52	34	32	32	NUM
cana-3850	52	35	no	no	NOUN
cana-3850	52	36	.	.	PUNCT
cana-3850	53	1	9s	9s	NUM
cana-3850	53	2	(	(	PUNCT
cana-3850	53	3	2025	2025	NUM
cana-3850	53	4	)	)	PUNCT
cana-3850	53	5	212	212	NUM
cana-3850	53	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3850	53	7	therefore	therefore	ADV
cana-3850	53	8	,	,	PUNCT
cana-3850	53	9	𝐿𝑞	𝐿𝑞	PROPN
cana-3850	53	10	ranges	range	VERB
cana-3850	53	11	in	in	ADP
cana-3850	53	12	(	(	PUNCT
cana-3850	53	13	0.0128	0.0128	NUM
cana-3850	53	14	and	and	CCONJ
cana-3850	53	15	0.0451	0.0451	NUM
cana-3850	53	16	)	)	PUNCT
cana-3850	53	17	.	.	PUNCT
cana-3850	54	1	average	average	ADJ
cana-3850	54	2	delayed	delay	VERB
cana-3850	54	3	customer	customer	NOUN
cana-3850	54	4	rate	rate	NOUN
cana-3850	54	5	in	in	ADP
cana-3850	54	6	the	the	DET
cana-3850	54	7	queue	queue	NOUN
cana-3850	54	8	(	(	PUNCT
cana-3850	54	9	𝑾𝒒	𝑾𝒒	PROPN
cana-3850	54	10	):	):	PUNCT
cana-3850	54	11	➢	➢	VERB
cana-3850	55	1	𝑊𝑞=	𝑊𝑞=	PROPN
cana-3850	55	2	𝜌	𝜌	X
cana-3850	55	3	2(1−𝜌)𝜇	2(1−𝜌)𝜇	NUM
cana-3850	55	4	=	=	SYM
cana-3850	55	5	(	(	PUNCT
cana-3850	55	6	0.1538,0.25,1,1	0.1538,0.25,1,1	NOUN
cana-3850	55	7	)	)	PUNCT
cana-3850	55	8	2(1−	2(1−	NUM
cana-3850	55	9	λ	λ	SYM
cana-3850	55	10	𝜇	𝜇	ADP
cana-3850	55	11	)	)	PUNCT
cana-3850	55	12	𝜇	𝜇	X
cana-3850	55	13	=	=	X
cana-3850	55	14	(	(	PUNCT
cana-3850	55	15	0.1538,0.25,1,1	0.1538,0.25,1,1	NOUN
cana-3850	55	16	)	)	PUNCT
cana-3850	55	17	(	(	PUNCT
cana-3850	55	18	1.3846,1.8332,4,4)(12,13,1,1	1.3846,1.8332,4,4)(12,13,1,1	NUM
cana-3850	55	19	)	)	PUNCT
cana-3850	55	20	=	=	SYM
cana-3850	55	21	(	(	PUNCT
cana-3850	55	22	0.1538,0.25,1,1	0.1538,0.25,1,1	NOUN
cana-3850	55	23	)	)	PUNCT
cana-3850	55	24	(	(	PUNCT
cana-3850	55	25	16.6152,23.8316,49.3846,53.8332	16.6152,23.8316,49.3846,53.8332	X
cana-3850	55	26	)	)	PUNCT
cana-3850	55	27	=	=	SYM
cana-3850	55	28	(	(	PUNCT
cana-3850	55	29	0.0064	0.0064	NUM
cana-3850	55	30	,	,	PUNCT
cana-3850	55	31	0.0150	0.0150	NUM
cana-3850	55	32	,	,	PUNCT
cana-3850	55	33	0.0185	0.0185	NUM
cana-3850	55	34	,	,	PUNCT
cana-3850	55	35	0.0202	0.0202	NUM
cana-3850	55	36	)	)	PUNCT
cana-3850	55	37	therefore	therefore	ADV
cana-3850	55	38	,	,	PUNCT
cana-3850	55	39	𝑊𝑞	𝑊𝑞	PROPN
cana-3850	55	40	ranges	range	VERB
cana-3850	55	41	in	in	ADP
cana-3850	55	42	(	(	PUNCT
cana-3850	55	43	0.0064	0.0064	NUM
cana-3850	55	44	,	,	PUNCT
cana-3850	55	45	0.0150	0.0150	NUM
cana-3850	55	46	)	)	PUNCT
cana-3850	55	47	.	.	PUNCT
cana-3850	56	1	average	average	ADJ
cana-3850	56	2	delayed	delay	VERB
cana-3850	56	3	customer	customer	NOUN
cana-3850	56	4	rate	rate	NOUN
cana-3850	56	5	in	in	ADP
cana-3850	56	6	the	the	DET
cana-3850	56	7	system	system	NOUN
cana-3850	56	8	(	(	PUNCT
cana-3850	56	9	𝑾𝒔	𝑾𝒔	ADV
cana-3850	56	10	):	):	PUNCT
cana-3850	56	11	➢	➢	X
cana-3850	57	1	𝑊𝑠=	𝑊𝑠=	X
cana-3850	57	2	𝜌	𝜌	ADP
cana-3850	57	3	2(1−𝜌)𝜇	2(1−𝜌)𝜇	NUM
cana-3850	57	4	+	+	SYM
cana-3850	57	5	1	1	NUM
cana-3850	57	6	𝜇	𝜇	ADP
cana-3850	57	7	=	=	NOUN
cana-3850	57	8	2(1−𝜌)+	2(1−𝜌)+	NUM
cana-3850	57	9	𝜌	𝜌	X
cana-3850	57	10	2(1−𝜌)𝜇	2(1−𝜌)𝜇	NUM
cana-3850	57	11	=	=	SYM
cana-3850	57	12	2(1−	2(1−	NUM
cana-3850	57	13	λ	λ	NOUN
cana-3850	57	14	𝜇	𝜇	ADP
cana-3850	57	15	)	)	PUNCT
cana-3850	57	16	+	+	NUM
cana-3850	57	17	λ	λ	X
cana-3850	57	18	𝜇	𝜇	ADP
cana-3850	57	19	2(1−	2(1−	NUM
cana-3850	57	20	λ	λ	NOUN
cana-3850	57	21	𝜇	𝜇	ADP
cana-3850	57	22	)	)	PUNCT
cana-3850	57	23	𝜇	𝜇	X
cana-3850	57	24	=	=	SYM
cana-3850	57	25	2	2	NUM
cana-3850	57	26	(	(	PUNCT
cana-3850	57	27	μ−λ	μ−λ	NOUN
cana-3850	57	28	𝜇	𝜇	ADP
cana-3850	57	29	)	)	PUNCT
cana-3850	57	30	+	+	NUM
cana-3850	57	31	λ	λ	X
cana-3850	57	32	𝜇	𝜇	ADP
cana-3850	57	33	2	2	NUM
cana-3850	57	34	(	(	PUNCT
cana-3850	57	35	μ−λ	μ−λ	ADJ
cana-3850	57	36	𝜇	𝜇	NOUN
cana-3850	57	37	)	)	PUNCT
cana-3850	57	38	𝜇	𝜇	X
cana-3850	57	39	=	=	SYM
cana-3850	57	40	2(𝜇−λ)+λ	2(𝜇−λ)+λ	NOUN
cana-3850	57	41	2(𝜇−λ)𝜇	2(𝜇−λ)𝜇	NUM
cana-3850	57	42	=	=	PUNCT
cana-3850	57	43	2𝜇−λ	2𝜇−λ	NUM
cana-3850	57	44	2𝜇2−2λ𝜇	2𝜇2−2λ𝜇	NOUN
cana-3850	57	45	=	=	SYM
cana-3850	57	46	2(12,13,1,1	2(12,13,1,1	NUM
cana-3850	57	47	)	)	PUNCT
cana-3850	57	48	−	−	PROPN
cana-3850	57	49	(	(	PUNCT
cana-3850	57	50	2,3,1,1	2,3,1,1	NUM
cana-3850	57	51	)	)	PUNCT
cana-3850	57	52	2(12,13,1,1)2	2(12,13,1,1)2	NUM
cana-3850	58	1	−	−	NOUN
cana-3850	58	2	2(2,3,1,1)(12,13,1,1	2(2,3,1,1)(12,13,1,1	NUM
cana-3850	58	3	)	)	PUNCT
cana-3850	58	4	=	=	NOUN
cana-3850	58	5	(	(	PUNCT
cana-3850	58	6	24,26,2,2)−(2,3,1,1	24,26,2,2)−(2,3,1,1	NUM
cana-3850	58	7	)	)	PUNCT
cana-3850	58	8	2(144,169,24,26	2(144,169,24,26	NUM
cana-3850	58	9	)	)	PUNCT
cana-3850	58	10	−	−	NOUN
cana-3850	58	11	2	2	NUM
cana-3850	58	12	(	(	PUNCT
cana-3850	58	13	24,39,14,16	24,39,14,16	NUM
cana-3850	58	14	)	)	PUNCT
cana-3850	58	15	=	=	SYM
cana-3850	58	16	(	(	PUNCT
cana-3850	58	17	21,24,3,3	21,24,3,3	NUM
cana-3850	58	18	)	)	PUNCT
cana-3850	58	19	(	(	PUNCT
cana-3850	58	20	288,338,48,52	288,338,48,52	NUM
cana-3850	58	21	)	)	PUNCT
cana-3850	58	22	−	−	PROPN
cana-3850	58	23	(	(	PUNCT
cana-3850	58	24	48,78,28,32	48,78,28,32	NUM
cana-3850	58	25	)	)	PUNCT
cana-3850	58	26	=	=	SYM
cana-3850	58	27	(	(	PUNCT
cana-3850	58	28	21,24,3,3	21,24,3,3	NUM
cana-3850	58	29	)	)	PUNCT
cana-3850	58	30	(	(	PUNCT
cana-3850	58	31	210,290,80,80	210,290,80,80	NUM
cana-3850	58	32	)	)	PUNCT
cana-3850	58	33	=	=	SYM
cana-3850	58	34	(	(	PUNCT
cana-3850	58	35	0.0724	0.0724	NUM
cana-3850	58	36	,	,	PUNCT
cana-3850	58	37	0.1142	0.1142	NUM
cana-3850	58	38	,	,	PUNCT
cana-3850	58	39	0.0375	0.0375	NUM
cana-3850	58	40	,	,	PUNCT
cana-3850	58	41	0.0375	0.0375	NUM
cana-3850	58	42	)	)	PUNCT
cana-3850	58	43	therefore	therefore	ADV
cana-3850	58	44	,	,	PUNCT
cana-3850	58	45	𝑊𝑠	𝑊𝑠	PROPN
cana-3850	58	46	ranges	range	VERB
cana-3850	58	47	in	in	ADP
cana-3850	58	48	(	(	PUNCT
cana-3850	58	49	0.0724	0.0724	NUM
cana-3850	58	50	,	,	PUNCT
cana-3850	58	51	0.1142	0.1142	NUM
cana-3850	58	52	)	)	PUNCT
cana-3850	58	53	.	.	PUNCT
cana-3850	59	1	the	the	DET
cana-3850	59	2	structural	structural	ADJ
cana-3850	59	3	performance	performance	NOUN
cana-3850	59	4	measure	measure	NOUN
cana-3850	59	5	of	of	ADP
cana-3850	59	6	𝐿𝑞	𝐿𝑞	PROPN
cana-3850	59	7	,	,	PUNCT
cana-3850	59	8	𝐿𝑠	𝐿𝑠	PROPN
cana-3850	59	9	,	,	PUNCT
cana-3850	59	10	𝑊𝑠	𝑊𝑠	PROPN
cana-3850	59	11	and	and	CCONJ
cana-3850	59	12	𝑊𝑞	𝑊𝑞	PROPN
cana-3850	59	13	has	have	AUX
cana-3850	59	14	been	be	AUX
cana-3850	59	15	given	give	VERB
cana-3850	59	16	in	in	ADP
cana-3850	59	17	graphical	graphical	ADJ
cana-3850	59	18	representation	representation	NOUN
cana-3850	59	19	using	use	VERB
cana-3850	59	20	matlab	matlab	PROPN
cana-3850	59	21	r2023a	r2023a	PROPN
cana-3850	59	22	.	.	PROPN
cana-3850	59	23	membership	membership	NOUN
cana-3850	59	24	function	function	NOUN
cana-3850	59	25	of	of	ADP
cana-3850	59	26	lq	lq	NOUN
cana-3850	59	27	:	:	PUNCT
cana-3850	59	28	communications	communication	NOUN
cana-3850	59	29	on	on	ADP
cana-3850	59	30	applied	apply	VERB
cana-3850	59	31	nonlinear	nonlinear	ADJ
cana-3850	59	32	analysis	analysis	NOUN
cana-3850	59	33	issn	issn	NOUN
cana-3850	59	34	:	:	PUNCT
cana-3850	59	35	1074	1074	NUM
cana-3850	59	36	-	-	PUNCT
cana-3850	59	37	133x	133x	NUM
cana-3850	59	38	vol	vol	NOUN
cana-3850	59	39	32	32	NUM
cana-3850	59	40	no	no	NOUN
cana-3850	59	41	.	.	PUNCT
cana-3850	60	1	9s	9s	NUM
cana-3850	60	2	(	(	PUNCT
cana-3850	60	3	2025	2025	NUM
cana-3850	60	4	)	)	PUNCT
cana-3850	60	5	213	213	NUM
cana-3850	60	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3850	60	7	membership	membership	NOUN
cana-3850	60	8	function	function	NOUN
cana-3850	60	9	of	of	ADP
cana-3850	60	10	ls	ls	ADJ
cana-3850	60	11	:	:	PUNCT
cana-3850	60	12	membership	membership	NOUN
cana-3850	60	13	function	function	NOUN
cana-3850	60	14	of	of	ADP
cana-3850	60	15	wq	wq	NOUN
cana-3850	60	16	:	:	PUNCT
cana-3850	60	17	membership	membership	NOUN
cana-3850	60	18	function	function	NOUN
cana-3850	60	19	of	of	ADP
cana-3850	60	20	ws	ws	NOUN
cana-3850	60	21	:	:	PUNCT
cana-3850	60	22	comparison	comparison	NOUN
cana-3850	60	23	for	for	ADP
cana-3850	60	24	fm	fm	PROPN
cana-3850	60	25	/	/	SYM
cana-3850	60	26	fd/1	fd/1	PROPN
cana-3850	60	27	queueing	queue	VERB
cana-3850	60	28	model	model	NOUN
cana-3850	60	29	:	:	PUNCT
cana-3850	60	30	dsw	dsw	NOUN
cana-3850	60	31	algorithm	algorithm	NOUN
cana-3850	60	32	lr	lr	NOUN
cana-3850	60	33	method	method	NOUN
cana-3850	60	34	without	without	ADP
cana-3850	60	35	fuzzy	fuzzy	ADJ
cana-3850	60	36	number	number	NOUN
cana-3850	60	37	an	an	DET
cana-3850	60	38	algorithm	algorithm	NOUN
cana-3850	60	39	using	use	VERB
cana-3850	60	40	interval	interval	NOUN
cana-3850	60	41	analysis	analysis	NOUN
cana-3850	60	42	arithmetic	arithmetic	ADJ
cana-3850	60	43	is	be	AUX
cana-3850	60	44	implemented	implement	VERB
cana-3850	60	45	for	for	ADP
cana-3850	60	46	execution	execution	NOUN
cana-3850	60	47	that	that	PRON
cana-3850	60	48	comprises	comprise	VERB
cana-3850	60	49	of	of	ADP
cana-3850	60	50	four	four	NUM
cana-3850	60	51	steps	step	NOUN
cana-3850	60	52	in	in	ADP
cana-3850	60	53	calculating	calculate	VERB
cana-3850	60	54	the	the	DET
cana-3850	60	55	system	system	NOUN
cana-3850	60	56	performance	performance	NOUN
cana-3850	60	57	measure	measure	NOUN
cana-3850	60	58	.	.	PUNCT
cana-3850	61	1	easy	easy	ADJ
cana-3850	61	2	and	and	CCONJ
cana-3850	61	3	simple	simple	ADJ
cana-3850	61	4	manual	manual	ADJ
cana-3850	61	5	computation	computation	NOUN
cana-3850	61	6	has	have	AUX
cana-3850	61	7	been	be	AUX
cana-3850	61	8	carried	carry	VERB
cana-3850	61	9	out	out	ADP
cana-3850	61	10	for	for	ADP
cana-3850	61	11	system	system	NOUN
cana-3850	61	12	performance	performance	NOUN
cana-3850	61	13	measure	measure	NOUN
cana-3850	61	14	using	use	VERB
cana-3850	61	15	trapezoidal	trapezoidal	ADJ
cana-3850	61	16	fuzzy	fuzzy	ADJ
cana-3850	61	17	number	number	NOUN
cana-3850	61	18	formulas	formula	NOUN
cana-3850	61	19	under	under	ADP
cana-3850	61	20	lr	lr	NOUN
cana-3850	61	21	type	type	NOUN
cana-3850	61	22	.	.	PUNCT
cana-3850	62	1	lq	lq	NOUN
cana-3850	62	2	=	=	NOUN
cana-3850	62	3	0.0166	0.0166	NUM
cana-3850	62	4	ranges	range	VERB
cana-3850	62	5	in	in	ADP
cana-3850	62	6	(	(	PUNCT
cana-3850	62	7	0.0027	0.0027	NUM
cana-3850	62	8	,	,	PUNCT
cana-3850	62	9	0.1039	0.1039	NUM
cana-3850	62	10	)	)	PUNCT
cana-3850	62	11	and	and	CCONJ
cana-3850	62	12	does	do	AUX
cana-3850	62	13	n’t	not	PART
cana-3850	62	14	drop	drop	VERB
cana-3850	62	15	under	under	ADP
cana-3850	62	16	0.0023	0.0023	NUM
cana-3850	62	17	and	and	CCONJ
cana-3850	62	18	rise	rise	VERB
cana-3850	62	19	beyond	beyond	ADP
cana-3850	62	20	0.1893	0.1893	NUM
cana-3850	62	21	.	.	PUNCT
cana-3850	63	1	ranges	range	NOUN
cana-3850	63	2	in	in	ADP
cana-3850	63	3	(	(	PUNCT
cana-3850	63	4	0.0128	0.0128	NUM
cana-3850	63	5	,	,	PUNCT
cana-3850	63	6	0.0451	0.0451	NUM
cana-3850	63	7	)	)	PUNCT
cana-3850	63	8	.	.	PUNCT
cana-3850	64	1	ls=	ls=	NOUN
cana-3850	64	2	0.1832	0.1832	NUM
cana-3850	64	3	ranges	range	NOUN
cana-3850	64	4	in	in	ADP
cana-3850	64	5	(	(	PUNCT
cana-3850	64	6	0.0741	0.0741	NUM
cana-3850	64	7	,	,	PUNCT
cana-3850	64	8	0.4675	0.4675	NUM
cana-3850	64	9	)	)	PUNCT
cana-3850	64	10	and	and	CCONJ
cana-3850	64	11	does	do	AUX
cana-3850	64	12	n’t	not	PART
cana-3850	64	13	drop	drop	VERB
cana-3850	64	14	under	under	ADP
cana-3850	64	15	0.0690	0.0690	NUM
cana-3850	64	16	and	and	CCONJ
cana-3850	64	17	rise	rise	VERB
cana-3850	64	18	beyond	beyond	ADP
cana-3850	64	19	0.6439	0.6439	NUM
cana-3850	64	20	.	.	PUNCT
cana-3850	65	1	ranges	range	NOUN
cana-3850	65	2	in	in	ADP
cana-3850	65	3	(	(	PUNCT
cana-3850	65	4	0.1666	0.1666	NUM
cana-3850	65	5	,	,	PUNCT
cana-3850	65	6	0.2951	0.2951	NUM
cana-3850	65	7	)	)	PUNCT
cana-3850	65	8	.	.	PUNCT
cana-3850	66	1	ws=0.0916	ws=0.0916	PROPN
cana-3850	66	2	ranges	range	VERB
cana-3850	66	3	in	in	ADP
cana-3850	66	4	(	(	PUNCT
cana-3850	66	5	0.0741	0.0741	NUM
cana-3850	66	6	,	,	PUNCT
cana-3850	66	7	0.1168	0.1168	NUM
cana-3850	66	8	)	)	PUNCT
cana-3850	66	9	and	and	CCONJ
cana-3850	66	10	does	do	AUX
cana-3850	66	11	n’t	not	PART
cana-3850	66	12	drop	drop	VERB
cana-3850	66	13	under	under	ADP
cana-3850	66	14	0.0690	0.0690	NUM
cana-3850	66	15	and	and	CCONJ
cana-3850	66	16	rise	rise	VERB
cana-3850	66	17	beyond	beyond	ADP
cana-3850	66	18	0.1287	0.1287	NUM
cana-3850	66	19	ranges	range	NOUN
cana-3850	66	20	in	in	ADP
cana-3850	66	21	(	(	PUNCT
cana-3850	66	22	0.0724	0.0724	NUM
cana-3850	66	23	,	,	PUNCT
cana-3850	66	24	0.1142	0.1142	NUM
cana-3850	66	25	)	)	PUNCT
cana-3850	66	26	.	.	PUNCT
cana-3850	67	1	wq=	wq=	NOUN
cana-3850	67	2	0.0083	0.0083	NUM
cana-3850	67	3	ranges	range	NOUN
cana-3850	67	4	in	in	ADP
cana-3850	67	5	(	(	PUNCT
cana-3850	67	6	0.0027	0.0027	NUM
cana-3850	67	7	,	,	PUNCT
cana-3850	67	8	0.0259	0.0259	NUM
cana-3850	67	9	)	)	PUNCT
cana-3850	67	10	and	and	CCONJ
cana-3850	67	11	does	do	AUX
cana-3850	67	12	n’t	not	PART
cana-3850	67	13	drop	drop	VERB
cana-3850	67	14	under	under	ADP
cana-3850	67	15	0.0023	0.0023	NUM
cana-3850	67	16	and	and	CCONJ
cana-3850	67	17	rise	rise	VERB
cana-3850	67	18	beyond	beyond	ADP
cana-3850	67	19	0.0378	0.0378	NUM
cana-3850	67	20	.	.	PUNCT
cana-3850	68	1	ranges	range	NOUN
cana-3850	68	2	in	in	ADP
cana-3850	68	3	(	(	PUNCT
cana-3850	68	4	0.0064	0.0064	NUM
cana-3850	68	5	,	,	PUNCT
cana-3850	68	6	0.0150	0.0150	NUM
cana-3850	68	7	)	)	PUNCT
cana-3850	68	8	.	.	PUNCT
cana-3850	69	1	communications	communication	NOUN
cana-3850	69	2	on	on	ADP
cana-3850	69	3	applied	apply	VERB
cana-3850	69	4	nonlinear	nonlinear	ADJ
cana-3850	69	5	analysis	analysis	NOUN
cana-3850	69	6	issn	issn	NOUN
cana-3850	69	7	:	:	PUNCT
cana-3850	69	8	1074	1074	NUM
cana-3850	69	9	-	-	PUNCT
cana-3850	69	10	133x	133x	NUM
cana-3850	69	11	vol	vol	NOUN
cana-3850	69	12	32	32	NUM
cana-3850	69	13	no	no	NOUN
cana-3850	69	14	.	.	PUNCT
cana-3850	70	1	9s	9s	NUM
cana-3850	70	2	(	(	PUNCT
cana-3850	70	3	2025	2025	NUM
cana-3850	70	4	)	)	PUNCT
cana-3850	70	5	214	214	NUM
cana-3850	70	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3850	70	7	5	5	X
cana-3850	70	8	.	.	PUNCT
cana-3850	70	9	conclusion	conclusion	NOUN
cana-3850	70	10	in	in	ADP
cana-3850	70	11	the	the	DET
cana-3850	70	12	present	present	ADJ
cana-3850	70	13	document	document	NOUN
cana-3850	70	14	,	,	PUNCT
cana-3850	70	15	the	the	DET
cana-3850	70	16	estimate	estimate	NOUN
cana-3850	70	17	of	of	ADP
cana-3850	70	18	system	system	NOUN
cana-3850	70	19	performance	performance	NOUN
cana-3850	70	20	under	under	ADP
cana-3850	70	21	fm	fm	PROPN
cana-3850	70	22	/	/	SYM
cana-3850	70	23	fd/1	fd/1	NOUN
cana-3850	70	24	queueing	queue	VERB
cana-3850	70	25	pattern	pattern	NOUN
cana-3850	70	26	with	with	ADP
cana-3850	70	27	population	population	NOUN
cana-3850	70	28	under	under	ADP
cana-3850	70	29	infinite	infinite	ADJ
cana-3850	70	30	source	source	NOUN
cana-3850	70	31	following	follow	VERB
cana-3850	70	32	fcfs	fcfs	ADJ
cana-3850	70	33	pattern	pattern	NOUN
cana-3850	70	34	that	that	PRON
cana-3850	70	35	has	have	AUX
cana-3850	70	36	been	be	AUX
cana-3850	70	37	computed	compute	VERB
cana-3850	70	38	with	with	ADP
cana-3850	70	39	the	the	DET
cana-3850	70	40	help	help	NOUN
cana-3850	70	41	of	of	ADP
cana-3850	70	42	trapezoidal	trapezoidal	ADJ
cana-3850	70	43	fuzzy	fuzzy	ADJ
cana-3850	70	44	numbers	number	NOUN
cana-3850	70	45	of	of	ADP
cana-3850	70	46	lr	lr	NOUN
cana-3850	70	47	type	type	NOUN
cana-3850	70	48	.	.	PUNCT
cana-3850	71	1	the	the	DET
cana-3850	71	2	spreads	spread	NOUN
cana-3850	71	3	under	under	ADP
cana-3850	71	4	left	left	ADJ
cana-3850	71	5	and	and	CCONJ
cana-3850	71	6	right	right	ADJ
cana-3850	71	7	patterns	pattern	NOUN
cana-3850	71	8	are	be	AUX
cana-3850	71	9	computed	compute	VERB
cana-3850	71	10	with	with	ADP
cana-3850	71	11	the	the	DET
cana-3850	71	12	help	help	NOUN
cana-3850	71	13	of	of	ADP
cana-3850	71	14	trapezoidal	trapezoidal	ADJ
cana-3850	71	15	fuzzy	fuzzy	ADJ
cana-3850	71	16	numbers	number	NOUN
cana-3850	71	17	under	under	ADP
cana-3850	71	18	lr	lr	NOUN
cana-3850	71	19	type	type	NOUN
cana-3850	71	20	using	use	VERB
cana-3850	71	21	lr	lr	NOUN
cana-3850	71	22	method	method	NOUN
cana-3850	71	23	.	.	PUNCT
cana-3850	72	1	the	the	DET
cana-3850	72	2	average	average	ADJ
cana-3850	72	3	customer	customer	NOUN
cana-3850	72	4	rate	rate	NOUN
cana-3850	72	5	in	in	ADP
cana-3850	72	6	the	the	DET
cana-3850	72	7	queue	queue	NOUN
cana-3850	72	8	ranges	range	VERB
cana-3850	72	9	in	in	ADP
cana-3850	72	10	(	(	PUNCT
cana-3850	72	11	0.0128	0.0128	NUM
cana-3850	72	12	,	,	PUNCT
cana-3850	72	13	0.0451	0.0451	NUM
cana-3850	72	14	)	)	PUNCT
cana-3850	72	15	,	,	PUNCT
cana-3850	72	16	average	average	ADJ
cana-3850	72	17	customer	customer	NOUN
cana-3850	72	18	rate	rate	NOUN
cana-3850	72	19	in	in	ADP
cana-3850	72	20	the	the	DET
cana-3850	72	21	system	system	NOUN
cana-3850	72	22	ranges	range	VERB
cana-3850	72	23	in	in	ADP
cana-3850	72	24	(	(	PUNCT
cana-3850	72	25	0.1666	0.1666	NUM
cana-3850	72	26	,	,	PUNCT
cana-3850	72	27	0.2951	0.2951	NUM
cana-3850	72	28	)	)	PUNCT
cana-3850	72	29	,	,	PUNCT
cana-3850	72	30	the	the	DET
cana-3850	72	31	average	average	ADJ
cana-3850	72	32	delayed	delay	VERB
cana-3850	72	33	period	period	NOUN
cana-3850	72	34	in	in	ADP
cana-3850	72	35	the	the	DET
cana-3850	72	36	system	system	NOUN
cana-3850	72	37	ranges	range	VERB
cana-3850	72	38	in	in	ADP
cana-3850	72	39	(	(	PUNCT
cana-3850	72	40	0.0724	0.0724	NUM
cana-3850	72	41	,	,	PUNCT
cana-3850	72	42	0.1142	0.1142	NUM
cana-3850	72	43	)	)	PUNCT
cana-3850	72	44	and	and	CCONJ
cana-3850	72	45	the	the	DET
cana-3850	72	46	average	average	ADJ
cana-3850	72	47	delayed	delay	VERB
cana-3850	72	48	period	period	NOUN
cana-3850	72	49	in	in	ADP
cana-3850	72	50	the	the	DET
cana-3850	72	51	queue	queue	NOUN
cana-3850	72	52	ranges	range	VERB
cana-3850	72	53	in	in	ADP
cana-3850	72	54	(	(	PUNCT
cana-3850	72	55	0.0064,0.0150	0.0064,0.0150	NUM
cana-3850	72	56	)	)	PUNCT
cana-3850	72	57	.	.	PUNCT
cana-3850	73	1	hence	hence	ADV
cana-3850	73	2	,	,	PUNCT
cana-3850	73	3	lr	lr	PROPN
cana-3850	73	4	method	method	NOUN
cana-3850	73	5	helps	help	VERB
cana-3850	73	6	in	in	ADP
cana-3850	73	7	computing	compute	VERB
cana-3850	73	8	the	the	DET
cana-3850	73	9	structural	structural	ADJ
cana-3850	73	10	performance	performance	NOUN
cana-3850	73	11	measure	measure	NOUN
cana-3850	73	12	of	of	ADP
cana-3850	73	13	a	a	DET
cana-3850	73	14	queueing	queue	VERB
cana-3850	73	15	system	system	NOUN
cana-3850	73	16	model	model	NOUN
cana-3850	73	17	in	in	ADP
cana-3850	73	18	a	a	DET
cana-3850	73	19	simple	simple	ADJ
cana-3850	73	20	and	and	CCONJ
cana-3850	73	21	flexible	flexible	ADJ
cana-3850	73	22	manner	manner	NOUN
cana-3850	73	23	.	.	PUNCT
cana-3850	74	1	references	reference	NOUN
cana-3850	74	2	[	[	X
cana-3850	74	3	1	1	NUM
cana-3850	74	4	]	]	X
cana-3850	74	5	r.j	r.j	PROPN
cana-3850	74	6	.	.	PROPN
cana-3850	74	7	li	li	PROPN
cana-3850	74	8	,	,	PUNCT
cana-3850	74	9	e.s	e.s	PROPN
cana-3850	74	10	.	.	PROPN
cana-3850	74	11	lee	lee	PROPN
cana-3850	74	12	,	,	PUNCT
cana-3850	74	13	analsis	analsis	ADV
cana-3850	74	14	of	of	ADP
cana-3850	74	15	fuzzy	fuzzy	ADJ
cana-3850	74	16	queues	queue	NOUN
cana-3850	74	17	,	,	PUNCT
cana-3850	74	18	computers	computer	NOUN
cana-3850	74	19	and	and	CCONJ
cana-3850	74	20	mathematics	mathematic	NOUN
cana-3850	74	21	with	with	ADP
cana-3850	74	22	applications	application	NOUN
cana-3850	74	23	,	,	PUNCT
cana-3850	74	24	17	17	NUM
cana-3850	74	25	(	(	PUNCT
cana-3850	74	26	1989	1989	NUM
cana-3850	74	27	)	)	PUNCT
cana-3850	74	28	1143	1143	NUM
cana-3850	74	29	-	-	SYM
cana-3850	74	30	1147	1147	NUM
cana-3850	74	31	.	.	PUNCT
cana-3850	75	1	[	[	X
cana-3850	75	2	2	2	X
cana-3850	75	3	]	]	PUNCT
cana-3850	75	4	d.	d.	PROPN
cana-3850	75	5	s.	s.	PROPN
cana-3850	75	6	negi	negi	PROPN
cana-3850	75	7	,	,	PUNCT
cana-3850	75	8	e.s	e.s	PROPN
cana-3850	75	9	.	.	PROPN
cana-3850	75	10	lee	lee	PROPN
cana-3850	75	11	,	,	PUNCT
cana-3850	75	12	analysis	analysis	NOUN
cana-3850	75	13	and	and	CCONJ
cana-3850	75	14	simulation	simulation	NOUN
cana-3850	75	15	of	of	ADP
cana-3850	75	16	fuzzy	fuzzy	ADJ
cana-3850	75	17	queues	queue	NOUN
cana-3850	75	18	,	,	PUNCT
cana-3850	75	19	fuzzy	fuzzy	ADJ
cana-3850	75	20	sets	set	NOUN
cana-3850	75	21	and	and	CCONJ
cana-3850	75	22	systems	system	NOUN
cana-3850	75	23	,	,	PUNCT
cana-3850	75	24	46	46	NUM
cana-3850	75	25	(	(	PUNCT
cana-3850	75	26	1992	1992	NUM
cana-3850	75	27	)	)	PUNCT
cana-3850	75	28	321330	321330	NUM
cana-3850	75	29	.	.	PUNCT
cana-3850	76	1	[	[	X
cana-3850	76	2	3	3	X
cana-3850	76	3	]	]	X
cana-3850	76	4	usha	usha	PROPN
cana-3850	76	5	prameela	prameela	PROPN
cana-3850	76	6	karupothu	karupothu	PROPN
cana-3850	76	7	and	and	CCONJ
cana-3850	76	8	pavan	pavan	PROPN
cana-3850	76	9	kumar	kumar	PROPN
cana-3850	76	10	,	,	PUNCT
cana-3850	76	11	(	(	PUNCT
cana-3850	76	12	2020	2020	NUM
cana-3850	76	13	)	)	PUNCT
cana-3850	76	14	,	,	PUNCT
cana-3850	76	15	“	"	PUNCT
cana-3850	76	16	perceptionization	perceptionization	NOUN
cana-3850	76	17	of	of	ADP
cana-3850	76	18	fm	fm	PROPN
cana-3850	76	19	/	/	SYM
cana-3850	76	20	fd/1	fd/1	PROPN
cana-3850	76	21	queueing	queue	VERB
cana-3850	76	22	model	model	NOUN
cana-3850	76	23	under	under	ADP
cana-3850	76	24	various	various	ADJ
cana-3850	76	25	fuzzy	fuzzy	ADJ
cana-3850	76	26	numbers	number	NOUN
cana-3850	76	27	”	"	PUNCT
cana-3850	76	28	,	,	PUNCT
cana-3850	76	29	croatian	croatian	PROPN
cana-3850	76	30	operation	operation	PROPN
cana-3850	76	31	research	research	PROPN
cana-3850	76	32	review	review	PROPN
cana-3850	76	33	,	,	PUNCT
cana-3850	76	34	crorr	crorr	NOUN
cana-3850	76	35	11(2020	11(2020	NUM
cana-3850	76	36	)	)	PUNCT
cana-3850	76	37	,	,	PUNCT
cana-3850	76	38	135	135	NUM
cana-3850	76	39	-	-	SYM
cana-3850	76	40	144	144	NUM
cana-3850	76	41	.	.	PUNCT
cana-3850	77	1	[	[	X
cana-3850	77	2	4	4	X
cana-3850	77	3	]	]	PUNCT
cana-3850	77	4	j.	j.	PROPN
cana-3850	77	5	p.	p.	PROPN
cana-3850	77	6	mukeba	mukeba	PROPN
cana-3850	77	7	kanyinda	kanyinda	PROPN
cana-3850	77	8	,	,	PUNCT
cana-3850	77	9	r.	r.	PROPN
cana-3850	77	10	mabela	mabela	PROPN
cana-3850	77	11	makengo	makengo	PROPN
cana-3850	77	12	matendo	matendo	PROPN
cana-3850	77	13	,	,	PUNCT
cana-3850	77	14	b.	b.	PROPN
cana-3850	77	15	ulungu	ulungu	PROPN
cana-3850	77	16	ekunda	ekunda	PROPN
cana-3850	77	17	lukata	lukata	PROPN
cana-3850	77	18	.	.	PUNCT
cana-3850	77	19	,	,	PUNCT
cana-3850	77	20	(	(	PUNCT
cana-3850	77	21	2015	2015	NUM
cana-3850	77	22	)	)	PUNCT
cana-3850	77	23	,	,	PUNCT
cana-3850	77	24	“	"	PUNCT
cana-3850	77	25	computing	compute	VERB
cana-3850	77	26	fuzzy	fuzzy	ADJ
cana-3850	77	27	queueing	queue	VERB
cana-3850	77	28	performance	performance	NOUN
cana-3850	77	29	measures	measure	NOUN
cana-3850	77	30	by	by	ADP
cana-3850	77	31	lr	lr	NOUN
cana-3850	77	32	method	method	NOUN
cana-3850	77	33	”	"	PUNCT
cana-3850	77	34	,	,	PUNCT
cana-3850	77	35	journal	journal	NOUN
cana-3850	77	36	of	of	ADP
cana-3850	77	37	fuzzy	fuzzy	ADJ
cana-3850	77	38	set	set	VERB
cana-3850	77	39	valued	value	VERB
cana-3850	77	40	analysis	analysis	NOUN
cana-3850	77	41	,	,	PUNCT
cana-3850	77	42	volume	volume	NOUN
cana-3850	77	43	2015	2015	NUM
cana-3850	77	44	,	,	PUNCT
cana-3850	77	45	issue	issue	NOUN
cana-3850	77	46	1	1	NUM
cana-3850	77	47	,	,	PUNCT
cana-3850	77	48	(	(	PUNCT
cana-3850	77	49	57	57	NUM
cana-3850	77	50	-	-	SYM
cana-3850	77	51	67	67	NUM
cana-3850	77	52	)	)	PUNCT
cana-3850	77	53	.	.	PUNCT
cana-3850	78	1	[	[	X
cana-3850	78	2	5	5	X
cana-3850	78	3	]	]	PUNCT
cana-3850	78	4	w.	w.	NOUN
cana-3850	78	5	ritha	ritha	PROPN
cana-3850	78	6	and	and	CCONJ
cana-3850	78	7	s.	s.	PROPN
cana-3850	78	8	josephine	josephine	PROPN
cana-3850	78	9	vinnarasi	vinnarasi	PROPN
cana-3850	78	10	,	,	PUNCT
cana-3850	78	11	“	"	PUNCT
cana-3850	78	12	analysis	analysis	NOUN
cana-3850	78	13	of	of	ADP
cana-3850	78	14	priority	priority	NOUN
cana-3850	78	15	queueing	queue	VERB
cana-3850	78	16	models	model	NOUN
cana-3850	78	17	:	:	PUNCT
cana-3850	78	18	lr	lr	NOUN
cana-3850	78	19	method	method	NOUN
cana-3850	78	20	”	"	PUNCT
cana-3850	78	21	,	,	PUNCT
cana-3850	78	22	annals	annal	NOUN
cana-3850	78	23	of	of	ADP
cana-3850	78	24	pure	pure	ADJ
cana-3850	78	25	and	and	CCONJ
cana-3850	78	26	applied	applied	ADJ
cana-3850	78	27	mathematics	mathematic	NOUN
cana-3850	78	28	,	,	PUNCT
cana-3850	78	29	vol.15	vol.15	NOUN
cana-3850	78	30	,	,	PUNCT
cana-3850	78	31	no.2	no.2	PROPN
cana-3850	78	32	,	,	PUNCT
cana-3850	78	33	2017	2017	NUM
cana-3850	78	34	,	,	PUNCT
cana-3850	78	35	271	271	NUM
cana-3850	78	36	-	-	SYM
cana-3850	78	37	276	276	NUM
cana-3850	78	38	.	.	PUNCT
cana-3850	79	1	[	[	X
cana-3850	79	2	6	6	NUM
cana-3850	79	3	]	]	PUNCT
cana-3850	79	4	b.	b.	PROPN
cana-3850	79	5	palpandi	palpandi	PROPN
cana-3850	79	6	,	,	PUNCT
cana-3850	79	7	g.geetharamani	g.geetharamani	X
cana-3850	79	8	(	(	PUNCT
cana-3850	79	9	2013	2013	NUM
cana-3850	79	10	)	)	PUNCT
cana-3850	79	11	,	,	PUNCT
cana-3850	79	12	“	"	PUNCT
cana-3850	79	13	evaluation	evaluation	NOUN
cana-3850	79	14	of	of	ADP
cana-3850	79	15	performance	performance	NOUN
cana-3850	79	16	measure	measure	NOUN
cana-3850	79	17	of	of	ADP
cana-3850	79	18	bulk	bulk	ADJ
cana-3850	79	19	arrival	arrival	NOUN
cana-3850	79	20	queue	queue	NOUN
cana-3850	79	21	with	with	ADP
cana-3850	79	22	fuzzy	fuzzy	ADJ
cana-3850	79	23	parameters	parameter	NOUN
cana-3850	79	24	using	use	VERB
cana-3850	79	25	robust	robust	ADJ
cana-3850	79	26	ranking	ranking	ADJ
cana-3850	79	27	technique	technique	NOUN
cana-3850	79	28	"	"	PUNCT
cana-3850	79	29	,	,	PUNCT
cana-3850	79	30	international	international	ADJ
cana-3850	79	31	journal	journal	NOUN
cana-3850	79	32	of	of	ADP
cana-3850	79	33	computational	computational	ADJ
cana-3850	79	34	engineering	engineering	NOUN
cana-3850	79	35	research	research	NOUN
cana-3850	79	36	,	,	PUNCT
cana-3850	79	37	volume	volume	NOUN
cana-3850	79	38	3	3	NUM
cana-3850	79	39	,	,	PUNCT
cana-3850	79	40	issue	issue	NOUN
cana-3850	79	41	10	10	NUM
cana-3850	79	42	(	(	PUNCT
cana-3850	79	43	53	53	NUM
cana-3850	79	44	-	-	SYM
cana-3850	79	45	57	57	NUM
cana-3850	79	46	)	)	PUNCT
cana-3850	79	47	.	.	PUNCT
cana-3850	80	1	[	[	X
cana-3850	80	2	7	7	X
cana-3850	80	3	]	]	X
cana-3850	80	4	s.	s.	PROPN
cana-3850	80	5	shanmugasundaram	shanmugasundaram	PROPN
cana-3850	80	6	,	,	PUNCT
cana-3850	80	7	s.	s.	PROPN
cana-3850	80	8	thamodharan	thamodharan	PROPN
cana-3850	80	9	,	,	PUNCT
cana-3850	80	10	m.	m.	NOUN
cana-3850	80	11	ragapriya	ragapriya	NOUN
cana-3850	80	12	,	,	PUNCT
cana-3850	80	13	a	a	DET
cana-3850	80	14	study	study	NOUN
cana-3850	80	15	on	on	ADP
cana-3850	80	16	single	single	ADJ
cana-3850	80	17	server	server	NOUN
cana-3850	80	18	fuzzy	fuzzy	ADJ
cana-3850	80	19	queueing	queueing	NOUN
cana-3850	80	20	model	model	NOUN
cana-3850	80	21	using	use	VERB
cana-3850	80	22	dsw	dsw	NOUN
cana-3850	80	23	algorithm	algorithm	NOUN
cana-3850	80	24	,	,	PUNCT
cana-3850	80	25	international	international	ADJ
cana-3850	80	26	journal	journal	NOUN
cana-3850	80	27	of	of	ADP
cana-3850	80	28	latest	late	ADJ
cana-3850	80	29	trends	trend	NOUN
cana-3850	80	30	in	in	ADP
cana-3850	80	31	engineering	engineering	NOUN
cana-3850	80	32	and	and	CCONJ
cana-3850	80	33	technology	technology	NOUN
cana-3850	80	34	,	,	PUNCT
cana-3850	80	35	vol.6	vol.6	PROPN
cana-3850	80	36	issue	issue	NOUN
cana-3850	80	37	1	1	NUM
cana-3850	80	38	,	,	PUNCT
cana-3850	80	39	september	september	PROPN
cana-3850	80	40	2015	2015	NUM
cana-3850	80	41	,	,	PUNCT
cana-3850	80	42	162	162	NUM
cana-3850	80	43	-	-	SYM
cana-3850	80	44	169	169	NUM
cana-3850	80	45	.	.	PUNCT
cana-3850	81	1	[	[	X
cana-3850	81	2	8	8	NUM
cana-3850	81	3	]	]	X
cana-3850	81	4	r.	r.	PROPN
cana-3850	81	5	srinivasan	srinivasan	PROPN
cana-3850	81	6	,	,	PUNCT
cana-3850	81	7	fuzzy	fuzzy	ADJ
cana-3850	81	8	queueing	queue	VERB
cana-3850	81	9	model	model	NOUN
cana-3850	81	10	using	use	VERB
cana-3850	81	11	dsw	dsw	NOUN
cana-3850	81	12	algorithm	algorithm	NOUN
cana-3850	81	13	,	,	PUNCT
cana-3850	81	14	international	international	ADJ
cana-3850	81	15	journal	journal	NOUN
cana-3850	81	16	of	of	ADP
cana-3850	81	17	advanced	advanced	ADJ
cana-3850	81	18	research	research	NOUN
cana-3850	81	19	in	in	ADP
cana-3850	81	20	mathematics	mathematic	NOUN
cana-3850	81	21	and	and	CCONJ
cana-3850	81	22	application	application	NOUN
cana-3850	81	23	.	.	PUNCT
cana-3850	81	24	,	,	PUNCT
cana-3850	81	25	vol	vol	NOUN
cana-3850	81	26	.	.	PROPN
cana-3850	81	27	1	1	NUM
cana-3850	81	28	,	,	PUNCT
cana-3850	81	29	issue	issue	NOUN
cana-3850	81	30	1	1	NUM
cana-3850	81	31	,	,	PUNCT
cana-3850	81	32	january	january	PROPN
cana-3850	81	33	2014	2014	NUM
cana-3850	81	34	,	,	PUNCT
cana-3850	81	35	57	57	NUM
cana-3850	81	36	-	-	SYM
cana-3850	81	37	62	62	NUM
cana-3850	81	38	.	.	PUNCT
cana-3850	82	1	[	[	X
cana-3850	82	2	9	9	NUM
cana-3850	82	3	]	]	X
cana-3850	82	4	chen	chen	PROPN
cana-3850	82	5	sp	sp	PROPN
cana-3850	82	6	,	,	PUNCT
cana-3850	82	7	parametric	parametric	ADJ
cana-3850	82	8	,	,	PUNCT
cana-3850	82	9	nonlinear	nonlinear	ADJ
cana-3850	82	10	programming	programming	NOUN
cana-3850	82	11	approach	approach	NOUN
cana-3850	82	12	to	to	ADP
cana-3850	82	13	fuzzy	fuzzy	ADJ
cana-3850	82	14	queues	queue	NOUN
cana-3850	82	15	with	with	ADP
cana-3850	82	16	bulk	bulk	ADJ
cana-3850	82	17	service	service	NOUN
cana-3850	82	18	,	,	PUNCT
cana-3850	82	19	european	european	PROPN
cana-3850	82	20	journal	journal	PROPN
cana-3850	82	21	of	of	ADP
cana-3850	82	22	operation	operation	NOUN
cana-3850	82	23	research	research	NOUN
cana-3850	82	24	,	,	PUNCT
cana-3850	82	25	2005	2005	NUM
cana-3850	82	26	,	,	PUNCT
cana-3850	82	27	163:434	163:434	NUM
cana-3850	82	28	-	-	SYM
cana-3850	82	29	444	444	NUM
cana-3850	82	30	.	.	PUNCT
cana-3850	83	1	[	[	X
cana-3850	83	2	10	10	NUM
cana-3850	83	3	]	]	X
cana-3850	83	4	j.	j.	PROPN
cana-3850	83	5	vahidi	vahidi	PROPN
cana-3850	83	6	,	,	PUNCT
cana-3850	83	7	s.	s.	PROPN
cana-3850	83	8	rezvani(2013	rezvani(2013	PROPN
cana-3850	83	9	)	)	PUNCT
cana-3850	83	10	,	,	PUNCT
cana-3850	83	11	“	"	PUNCT
cana-3850	83	12	arithmetic	arithmetic	ADJ
cana-3850	83	13	operations	operation	NOUN
cana-3850	83	14	on	on	ADP
cana-3850	83	15	trapezoidal	trapezoidal	ADJ
cana-3850	83	16	fuzzy	fuzzy	ADJ
cana-3850	83	17	numbers	number	NOUN
cana-3850	83	18	”	"	PUNCT
cana-3850	83	19	,	,	PUNCT
cana-3850	83	20	journal	journal	NOUN
cana-3850	83	21	non	non	ADJ
cana-3850	83	22	-	-	ADJ
cana-3850	83	23	linear	linear	ADJ
cana-3850	83	24	analysis	analysis	NOUN
cana-3850	83	25	and	and	CCONJ
cana-3850	83	26	application	application	NOUN
cana-3850	83	27	2013	2013	NUM
cana-3850	83	28	,	,	PUNCT
cana-3850	83	29	volume	volume	NOUN
cana-3850	83	30	2013	2013	NUM
cana-3850	83	31	,	,	PUNCT
cana-3850	83	32	(	(	PUNCT
cana-3850	83	33	1	1	NUM
cana-3850	83	34	-	-	SYM
cana-3850	83	35	8)	8)	NUM
cana-3850	83	36	.	.	PUNCT