id	sid	tid	token	lemma	pos
cana-1052	1	1	communications	communication	NOUN
cana-1052	1	2	on	on	ADP
cana-1052	1	3	applied	apply	VERB
cana-1052	1	4	nonlinear	nonlinear	ADJ
cana-1052	1	5	analysis	analysis	NOUN
cana-1052	1	6	issn	issn	NOUN
cana-1052	1	7	:	:	PUNCT
cana-1052	1	8	1074	1074	NUM
cana-1052	1	9	-	-	PUNCT
cana-1052	1	10	133x	133x	NUM
cana-1052	1	11	vol	vol	NOUN
cana-1052	1	12	31	31	NUM
cana-1052	1	13	no	no	NOUN
cana-1052	1	14	.	.	PUNCT
cana-1052	2	1	5s	5s	NUM
cana-1052	2	2	(	(	PUNCT
cana-1052	2	3	2024	2024	NUM
cana-1052	2	4	)	)	PUNCT
cana-1052	2	5	312	312	NUM
cana-1052	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1052	2	7	optimality	optimality	NOUN
cana-1052	2	8	of	of	ADP
cana-1052	2	9	finite	finite	ADJ
cana-1052	2	10	capacity	capacity	NOUN
cana-1052	2	11	markovian	markovian	NOUN
cana-1052	2	12	queues	queue	NOUN
cana-1052	2	13	with	with	ADP
cana-1052	2	14	discouraged	discouraged	ADJ
cana-1052	2	15	arrivals	arrival	NOUN
cana-1052	2	16	and	and	CCONJ
cana-1052	2	17	single	single	ADJ
cana-1052	2	18	hiatus	hiatus	NOUN
cana-1052	2	19	with	with	ADP
cana-1052	2	20	waiting	wait	VERB
cana-1052	2	21	server	server	NOUN
cana-1052	2	22	j.	j.	PROPN
cana-1052	2	23	vimal	vimal	PROPN
cana-1052	2	24	andrew1	andrew1	PROPN
cana-1052	2	25	,	,	PUNCT
cana-1052	2	26	v.	v.	ADP
cana-1052	2	27	vijayalakshmi*2	vijayalakshmi*2	SYM
cana-1052	2	28	1department	1department	NUM
cana-1052	2	29	of	of	ADP
cana-1052	2	30	mathematics	mathematic	NOUN
cana-1052	2	31	,	,	PUNCT
cana-1052	2	32	karpagam	karpagam	PROPN
cana-1052	2	33	academy	academy	PROPN
cana-1052	2	34	of	of	ADP
cana-1052	2	35	higher	high	ADJ
cana-1052	2	36	education	education	NOUN
cana-1052	2	37	,	,	PUNCT
cana-1052	2	38	coimbatore	coimbatore	PROPN
cana-1052	2	39	641	641	NUM
cana-1052	2	40	021	021	NUM
cana-1052	2	41	,	,	PUNCT
cana-1052	2	42	tamil	tamil	PROPN
cana-1052	2	43	nadu	nadu	PROPN
cana-1052	2	44	,	,	PUNCT
cana-1052	2	45	india	india	PROPN
cana-1052	2	46	.	.	PUNCT
cana-1052	3	1	2department	2department	NUM
cana-1052	3	2	of	of	ADP
cana-1052	3	3	science	science	NOUN
cana-1052	3	4	and	and	CCONJ
cana-1052	3	5	humanities	humanity	NOUN
cana-1052	3	6	(	(	PUNCT
cana-1052	3	7	mathematics	mathematics	PROPN
cana-1052	3	8	)	)	PUNCT
cana-1052	3	9	,	,	PUNCT
cana-1052	3	10	faculty	faculty	NOUN
cana-1052	3	11	of	of	ADP
cana-1052	3	12	engineering	engineering	PROPN
cana-1052	3	13	,	,	PUNCT
cana-1052	3	14	karpagam	karpagam	PROPN
cana-1052	3	15	academy	academy	PROPN
cana-1052	3	16	of	of	ADP
cana-1052	3	17	higher	high	ADJ
cana-1052	3	18	education	education	NOUN
cana-1052	3	19	,	,	PUNCT
cana-1052	3	20	coimbatore-641	coimbatore-641	PROPN
cana-1052	3	21	021	021	NUM
cana-1052	3	22	,	,	PUNCT
cana-1052	3	23	tamil	tamil	PROPN
cana-1052	3	24	nadu	nadu	PROPN
cana-1052	3	25	,	,	PUNCT
cana-1052	3	26	india	india	PROPN
cana-1052	3	27	.	.	PUNCT
cana-1052	4	1	1vimalandmat@gmail.com	1vimalandmat@gmail.com	PROPN
cana-1052	4	2	∗2viji.sanmugam@gmail.com	∗2viji.sanmugam@gmail.com	X
cana-1052	4	3	article	article	NOUN
cana-1052	4	4	history	history	NOUN
cana-1052	4	5	:	:	PUNCT
cana-1052	4	6	received	receive	VERB
cana-1052	4	7	:	:	PUNCT
cana-1052	4	8	15	15	NUM
cana-1052	4	9	-	-	SYM
cana-1052	4	10	05	05	NUM
cana-1052	4	11	-	-	PUNCT
cana-1052	4	12	2024	2024	NUM
cana-1052	4	13	revised	revise	VERB
cana-1052	4	14	:	:	PUNCT
cana-1052	4	15	25	25	NUM
cana-1052	4	16	-	-	PUNCT
cana-1052	4	17	06	06	NUM
cana-1052	4	18	-	-	PUNCT
cana-1052	4	19	2024	2024	NUM
cana-1052	4	20	accepted	accept	VERB
cana-1052	4	21	:	:	PUNCT
cana-1052	4	22	10	10	NUM
cana-1052	4	23	-	-	SYM
cana-1052	4	24	07	07	NUM
cana-1052	4	25	-	-	PUNCT
cana-1052	4	26	2024	2024	NUM
cana-1052	4	27	abstract	abstract	NOUN
cana-1052	4	28	:	:	PUNCT
cana-1052	4	29	we	we	PRON
cana-1052	4	30	consider	consider	VERB
cana-1052	4	31	finite	finite	ADJ
cana-1052	4	32	-	-	ADJ
cana-1052	4	33	capacity	capacity	ADJ
cana-1052	4	34	markovian	markovian	NOUN
cana-1052	4	35	queues	queue	NOUN
cana-1052	4	36	with	with	ADP
cana-1052	4	37	a	a	DET
cana-1052	4	38	single	single	ADJ
cana-1052	4	39	hiatus	hiatus	NOUN
cana-1052	4	40	scheme	scheme	NOUN
cana-1052	4	41	and	and	CCONJ
cana-1052	4	42	waiting	waiting	NOUN
cana-1052	4	43	server	server	NOUN
cana-1052	4	44	.	.	PUNCT
cana-1052	5	1	customers	customer	NOUN
cana-1052	5	2	are	be	AUX
cana-1052	5	3	arriving	arrive	VERB
cana-1052	5	4	at	at	ADP
cana-1052	5	5	a	a	DET
cana-1052	5	6	poisson	poisson	NOUN
cana-1052	5	7	arrival	arrival	NOUN
cana-1052	5	8	λ	λ	PROPN
cana-1052	5	9	and	and	CCONJ
cana-1052	5	10	exponential	exponential	ADJ
cana-1052	5	11	service	service	NOUN
cana-1052	5	12	distribution	distribution	NOUN
cana-1052	5	13	,	,	PUNCT
cana-1052	5	14	with	with	ADP
cana-1052	5	15	a	a	DET
cana-1052	5	16	mean	mean	ADJ
cana-1052	5	17	service	service	NOUN
cana-1052	5	18	rate	rate	NOUN
cana-1052	5	19	µ.	µ.	NOUN
cana-1052	5	20	in	in	ADP
cana-1052	5	21	which	which	PRON
cana-1052	5	22	customers	customer	NOUN
cana-1052	5	23	join	join	VERB
cana-1052	5	24	the	the	DET
cana-1052	5	25	queue	queue	NOUN
cana-1052	5	26	according	accord	VERB
cana-1052	5	27	to	to	ADP
cana-1052	5	28	the	the	DET
cana-1052	5	29	number	number	NOUN
cana-1052	5	30	of	of	ADP
cana-1052	5	31	customers	customer	NOUN
cana-1052	5	32	in	in	ADP
cana-1052	5	33	the	the	DET
cana-1052	5	34	system	system	NOUN
cana-1052	5	35	while	while	SCONJ
cana-1052	5	36	the	the	DET
cana-1052	5	37	hiatus	hiatus	NOUN
cana-1052	5	38	is	be	AUX
cana-1052	5	39	in	in	ADP
cana-1052	5	40	the	the	DET
cana-1052	5	41	service	service	NOUN
cana-1052	5	42	-	-	PUNCT
cana-1052	5	43	providing	provide	VERB
cana-1052	5	44	process	process	NOUN
cana-1052	5	45	.	.	PUNCT
cana-1052	6	1	for	for	ADP
cana-1052	6	2	the	the	DET
cana-1052	6	3	assumed	assumed	ADJ
cana-1052	6	4	queuing	queuing	NOUN
cana-1052	6	5	model	model	NOUN
cana-1052	6	6	,	,	PUNCT
cana-1052	6	7	steady	steady	ADJ
cana-1052	6	8	-	-	PUNCT
cana-1052	6	9	state	state	NOUN
cana-1052	6	10	probabilities	probability	NOUN
cana-1052	6	11	were	be	AUX
cana-1052	6	12	derived	derive	VERB
cana-1052	6	13	,	,	PUNCT
cana-1052	6	14	and	and	CCONJ
cana-1052	6	15	some	some	DET
cana-1052	6	16	important	important	ADJ
cana-1052	6	17	performance	performance	NOUN
cana-1052	6	18	measures	measure	NOUN
cana-1052	6	19	,	,	PUNCT
cana-1052	6	20	such	such	ADJ
cana-1052	6	21	as	as	ADP
cana-1052	6	22	the	the	DET
cana-1052	6	23	mean	mean	ADJ
cana-1052	6	24	number	number	NOUN
cana-1052	6	25	of	of	ADP
cana-1052	6	26	customers	customer	NOUN
cana-1052	6	27	in	in	ADP
cana-1052	6	28	the	the	DET
cana-1052	6	29	system	system	NOUN
cana-1052	6	30	and	and	CCONJ
cana-1052	6	31	mean	mean	VERB
cana-1052	6	32	response	response	NOUN
cana-1052	6	33	time	time	NOUN
cana-1052	6	34	in	in	ADP
cana-1052	6	35	the	the	DET
cana-1052	6	36	system	system	NOUN
cana-1052	6	37	and	and	CCONJ
cana-1052	6	38	queue	queue	NOUN
cana-1052	6	39	are	be	AUX
cana-1052	6	40	analysed	analyse	VERB
cana-1052	6	41	.	.	PUNCT
cana-1052	7	1	the	the	DET
cana-1052	7	2	expected	expect	VERB
cana-1052	7	3	expense	expense	NOUN
cana-1052	7	4	function	function	NOUN
cana-1052	7	5	is	be	AUX
cana-1052	7	6	developed	develop	VERB
cana-1052	7	7	and	and	CCONJ
cana-1052	7	8	formulated	formulate	VERB
cana-1052	7	9	as	as	ADP
cana-1052	7	10	an	an	DET
cana-1052	7	11	optimization	optimization	NOUN
cana-1052	7	12	problem	problem	NOUN
cana-1052	7	13	in	in	ADP
cana-1052	7	14	order	order	NOUN
cana-1052	7	15	to	to	PART
cana-1052	7	16	find	find	VERB
cana-1052	7	17	the	the	DET
cana-1052	7	18	minimum	minimum	ADJ
cana-1052	7	19	expense	expense	NOUN
cana-1052	7	20	.	.	PUNCT
cana-1052	8	1	numerical	numerical	ADJ
cana-1052	8	2	illustrations	illustration	NOUN
cana-1052	8	3	are	be	AUX
cana-1052	8	4	given	give	VERB
cana-1052	8	5	to	to	PART
cana-1052	8	6	show	show	VERB
cana-1052	8	7	the	the	DET
cana-1052	8	8	effect	effect	NOUN
cana-1052	8	9	of	of	ADP
cana-1052	8	10	parameters	parameter	NOUN
cana-1052	8	11	on	on	ADP
cana-1052	8	12	the	the	DET
cana-1052	8	13	performance	performance	NOUN
cana-1052	8	14	measures	measure	NOUN
cana-1052	8	15	.	.	PUNCT
cana-1052	9	1	keywords	keyword	NOUN
cana-1052	9	2	:	:	PUNCT
cana-1052	10	1	pgf	pgf	NOUN
cana-1052	10	2	,	,	PUNCT
cana-1052	10	3	vacations	vacation	NOUN
cana-1052	10	4	,	,	PUNCT
cana-1052	10	5	performance	performance	NOUN
cana-1052	10	6	measures	measure	NOUN
cana-1052	10	7	,	,	PUNCT
cana-1052	10	8	pso	pso	NOUN
cana-1052	10	9	.	.	PUNCT
cana-1052	11	1	mathematics	mathematics	PROPN
cana-1052	11	2	subject	subject	ADJ
cana-1052	11	3	classification	classification	NOUN
cana-1052	11	4	:	:	PUNCT
cana-1052	11	5	90b22	90b22	NUM
cana-1052	11	6	and	and	CCONJ
cana-1052	11	7	60k25	60k25	NUM
cana-1052	11	8	.	.	PUNCT
cana-1052	12	1	1	1	X
cana-1052	12	2	.	.	X
cana-1052	12	3	introduction	introduction	NOUN
cana-1052	12	4	in	in	ADP
cana-1052	12	5	this	this	DET
cana-1052	12	6	paper	paper	NOUN
cana-1052	12	7	,	,	PUNCT
cana-1052	12	8	we	we	PRON
cana-1052	12	9	consider	consider	VERB
cana-1052	12	10	a	a	DET
cana-1052	12	11	single	single	ADJ
cana-1052	12	12	server	server	NOUN
cana-1052	12	13	queueing	queue	VERB
cana-1052	12	14	system	system	NOUN
cana-1052	12	15	where	where	SCONJ
cana-1052	12	16	the	the	DET
cana-1052	12	17	service	service	NOUN
cana-1052	12	18	time	time	NOUN
cana-1052	12	19	of	of	ADP
cana-1052	12	20	each	each	DET
cana-1052	12	21	customer	customer	NOUN
cana-1052	12	22	depends	depend	VERB
cana-1052	12	23	on	on	ADP
cana-1052	12	24	the	the	DET
cana-1052	12	25	number	number	NOUN
cana-1052	12	26	of	of	ADP
cana-1052	12	27	customers	customer	NOUN
cana-1052	12	28	served	serve	VERB
cana-1052	12	29	prior	prior	ADV
cana-1052	12	30	to	to	ADP
cana-1052	12	31	him	he	PRON
cana-1052	12	32	in	in	ADP
cana-1052	12	33	the	the	DET
cana-1052	12	34	current	current	ADJ
cana-1052	12	35	busy	busy	ADJ
cana-1052	12	36	period	period	NOUN
cana-1052	12	37	and	and	CCONJ
cana-1052	12	38	with	with	ADP
cana-1052	12	39	server	server	NOUN
cana-1052	12	40	vacation	vacation	NOUN
cana-1052	12	41	.	.	PUNCT
cana-1052	13	1	several	several	ADJ
cana-1052	13	2	researchers	researcher	NOUN
cana-1052	13	3	have	have	AUX
cana-1052	13	4	studied	study	VERB
cana-1052	13	5	queueing	queue	VERB
cana-1052	13	6	systems	system	NOUN
cana-1052	13	7	in	in	ADP
cana-1052	13	8	which	which	PRON
cana-1052	13	9	the	the	DET
cana-1052	13	10	service	service	NOUN
cana-1052	13	11	time	time	NOUN
cana-1052	13	12	of	of	ADP
cana-1052	13	13	a	a	DET
cana-1052	13	14	customer	customer	NOUN
cana-1052	13	15	depends	depend	VERB
cana-1052	13	16	on	on	ADP
cana-1052	13	17	the	the	DET
cana-1052	13	18	number	number	NOUN
cana-1052	13	19	of	of	ADP
cana-1052	13	20	customers	customer	NOUN
cana-1052	13	21	served	serve	VERB
cana-1052	13	22	in	in	ADP
cana-1052	13	23	the	the	DET
cana-1052	13	24	current	current	ADJ
cana-1052	13	25	busy	busy	ADJ
cana-1052	13	26	period	period	NOUN
cana-1052	13	27	.	.	PUNCT
cana-1052	14	1	doshi	doshi	PROPN
cana-1052	15	1	[	[	X
cana-1052	15	2	5	5	NUM
cana-1052	15	3	]	]	PUNCT
cana-1052	15	4	,	,	PUNCT
cana-1052	15	5	takagi	takagi	PROPN
cana-1052	16	1	[	[	X
cana-1052	16	2	16	16	NUM
cana-1052	16	3	]	]	PUNCT
cana-1052	16	4	and	and	CCONJ
cana-1052	16	5	tian	tian	PROPN
cana-1052	16	6	and	and	CCONJ
cana-1052	16	7	zhang	zhang	PROPN
cana-1052	17	1	[	[	X
cana-1052	17	2	17	17	NUM
cana-1052	17	3	]	]	PUNCT
cana-1052	17	4	are	be	AUX
cana-1052	17	5	excellent	excellent	ADJ
cana-1052	17	6	survey	survey	NOUN
cana-1052	17	7	works	work	VERB
cana-1052	17	8	on	on	ADP
cana-1052	17	9	the	the	DET
cana-1052	17	10	subject	subject	NOUN
cana-1052	17	11	.	.	PUNCT
cana-1052	18	1	teghem	teghem	PRON
cana-1052	19	1	[	[	X
cana-1052	19	2	10	10	NUM
cana-1052	19	3	]	]	PUNCT
cana-1052	19	4	has	have	AUX
cana-1052	19	5	made	make	VERB
cana-1052	19	6	a	a	DET
cana-1052	19	7	comprehensive	comprehensive	ADJ
cana-1052	19	8	survey	survey	NOUN
cana-1052	19	9	of	of	ADP
cana-1052	19	10	queueing	queue	VERB
cana-1052	19	11	system	system	NOUN
cana-1052	19	12	with	with	ADP
cana-1052	19	13	vacation	vacation	NOUN
cana-1052	19	14	.	.	PUNCT
cana-1052	20	1	mishra	mishra	PROPN
cana-1052	20	2	et	et	PROPN
cana-1052	20	3	al	al	PROPN
cana-1052	20	4	.	.	PUNCT
cana-1052	21	1	[	[	X
cana-1052	21	2	19	19	NUM
cana-1052	21	3	]	]	PUNCT
cana-1052	21	4	discussed	discuss	VERB
cana-1052	21	5	and	and	CCONJ
cana-1052	21	6	investigated	investigate	VERB
cana-1052	21	7	transient	transient	ADJ
cana-1052	21	8	behavior	behavior	NOUN
cana-1052	21	9	of	of	ADP
cana-1052	21	10	a	a	DET
cana-1052	21	11	m	m	PROPN
cana-1052	21	12	/	/	SYM
cana-1052	21	13	m/1	m/1	NOUN
cana-1052	21	14	waiting	wait	VERB
cana-1052	21	15	line	line	NOUN
cana-1052	21	16	undergoing	undergo	VERB
cana-1052	21	17	multiple	multiple	ADJ
cana-1052	21	18	differentiated	differentiate	VERB
cana-1052	21	19	vacations	vacation	NOUN
cana-1052	21	20	in	in	ADP
cana-1052	21	21	conjunction	conjunction	NOUN
cana-1052	21	22	with	with	ADP
cana-1052	21	23	impatient	impatient	ADJ
cana-1052	21	24	customersmanifested	customersmanifeste	VERB
cana-1052	21	25	in	in	ADP
cana-1052	21	26	the	the	DET
cana-1052	21	27	form	form	NOUN
cana-1052	21	28	of	of	ADP
cana-1052	21	29	balking	balk	VERB
cana-1052	21	30	and	and	CCONJ
cana-1052	21	31	probabilistically	probabilistically	ADV
cana-1052	21	32	modified	modified	ADJ
cana-1052	21	33	reneging	reneging	NOUN
cana-1052	21	34	.	.	PUNCT
cana-1052	21	35	vijayalakshmi	vijayalakshmi	NOUN
cana-1052	21	36	et	et	PROPN
cana-1052	21	37	al	al	PROPN
cana-1052	21	38	.	.	PUNCT
cana-1052	22	1	[	[	X
cana-1052	22	2	20	20	NUM
cana-1052	22	3	]	]	PUNCT
cana-1052	22	4	discussed	discuss	VERB
cana-1052	22	5	about	about	ADP
cana-1052	22	6	arriving	arrive	VERB
cana-1052	22	7	customers	customer	NOUN
cana-1052	22	8	to	to	PART
cana-1052	22	9	receive	receive	VERB
cana-1052	22	10	only	only	ADV
cana-1052	22	11	one	one	NUM
cana-1052	22	12	service	service	NOUN
cana-1052	22	13	and	and	CCONJ
cana-1052	22	14	may	may	AUX
cana-1052	22	15	want	want	VERB
cana-1052	22	16	to	to	PART
cana-1052	22	17	choose	choose	VERB
cana-1052	22	18	some	some	DET
cana-1052	22	19	optional	optional	ADJ
cana-1052	22	20	service	service	NOUN
cana-1052	22	21	from	from	ADP
cana-1052	22	22	the	the	DET
cana-1052	22	23	services	service	NOUN
cana-1052	22	24	available	available	ADJ
cana-1052	22	25	in	in	ADP
cana-1052	22	26	the	the	DET
cana-1052	22	27	system	system	NOUN
cana-1052	22	28	.	.	PUNCT
cana-1052	23	1	baburaj	baburaj	VERB
cana-1052	23	2	and	and	CCONJ
cana-1052	23	3	sahana	sahana	PROPN
cana-1052	24	1	[	[	X
cana-1052	24	2	21	21	NUM
cana-1052	24	3	]	]	PUNCT
cana-1052	24	4	studied	study	VERB
cana-1052	24	5	the	the	DET
cana-1052	24	6	discrete	discrete	ADJ
cana-1052	24	7	time	time	NOUN
cana-1052	24	8	single	single	ADJ
cana-1052	24	9	arrival	arrival	NOUN
cana-1052	24	10	and	and	CCONJ
cana-1052	24	11	single	single	ADJ
cana-1052	24	12	-	-	PUNCT
cana-1052	24	13	batch	batch	NOUN
cana-1052	24	14	service	service	NOUN
cana-1052	24	15	queue	queue	NOUN
cana-1052	24	16	under	under	ADP
cana-1052	24	17	policy	policy	NOUN
cana-1052	24	18	’	'	PUNCT
cana-1052	24	19	c	c	NOUN
cana-1052	24	20	’	'	PUNCT
cana-1052	24	21	is	be	AUX
cana-1052	24	22	described	describe	VERB
cana-1052	24	23	in	in	ADP
cana-1052	24	24	this	this	DET
cana-1052	24	25	study	study	NOUN
cana-1052	24	26	together	together	ADV
cana-1052	24	27	with	with	ADP
cana-1052	24	28	reneging	renege	VERB
cana-1052	24	29	and	and	CCONJ
cana-1052	24	30	vacation	vacation	NOUN
cana-1052	24	31	interruption	interruption	NOUN
cana-1052	24	32	.	.	PUNCT
cana-1052	25	1	yumei	yumei	PROPN
cana-1052	25	2	hou	hou	PROPN
cana-1052	25	3	et	et	PROPN
cana-1052	25	4	al	al	PROPN
cana-1052	25	5	.	.	PUNCT
cana-1052	26	1	[	[	X
cana-1052	26	2	22	22	NUM
cana-1052	26	3	]	]	PUNCT
cana-1052	26	4	discussed	discuss	VERB
cana-1052	26	5	optimization	optimization	NOUN
cana-1052	26	6	of	of	ADP
cana-1052	26	7	beds	bed	NOUN
cana-1052	26	8	allocation	allocation	NOUN
cana-1052	26	9	based	base	VERB
cana-1052	26	10	on	on	ADP
cana-1052	26	11	queuing	queue	VERB
cana-1052	26	12	model	model	NOUN
cana-1052	26	13	and	and	CCONJ
cana-1052	26	14	by	by	ADP
cana-1052	26	15	particle	particle	NOUN
cana-1052	26	16	swarm	swarm	NOUN
cana-1052	26	17	optimization	optimization	NOUN
cana-1052	26	18	algorithm	algorithm	NOUN
cana-1052	26	19	.	.	PUNCT
cana-1052	27	1	according	accord	VERB
cana-1052	27	2	to	to	ADP
cana-1052	27	3	ammar	ammar	PROPN
cana-1052	27	4	et	et	PROPN
cana-1052	27	5	al	al	PROPN
cana-1052	27	6	.	.	PUNCT
cana-1052	28	1	[	[	X
cana-1052	28	2	1	1	NUM
cana-1052	28	3	]	]	PUNCT
cana-1052	28	4	,	,	PUNCT
cana-1052	28	5	customers	customer	NOUN
cana-1052	28	6	balk	balk	VERB
cana-1052	28	7	using	use	VERB
cana-1052	28	8	a	a	DET
cana-1052	28	9	set	set	VERB
cana-1052	28	10	probability	probability	NOUN
cana-1052	28	11	and	and	CCONJ
cana-1052	28	12	renege	renege	VERB
cana-1052	28	13	based	base	VERB
cana-1052	28	14	on	on	ADP
cana-1052	28	15	a	a	DET
cana-1052	28	16	negative	negative	ADJ
cana-1052	28	17	exponential	exponential	ADJ
cana-1052	28	18	distribution	distribution	NOUN
cana-1052	28	19	.	.	PUNCT
cana-1052	29	1	bouchentouf	bouchentouf	NOUN
cana-1052	29	2	et	et	PROPN
cana-1052	29	3	al	al	PROPN
cana-1052	29	4	.	.	PUNCT
cana-1052	30	1	[	[	X
cana-1052	30	2	3	3	X
cana-1052	30	3	]	]	PUNCT
cana-1052	30	4	examined	examine	VERB
cana-1052	30	5	a	a	DET
cana-1052	30	6	single	single	ADJ
cana-1052	30	7	-	-	PUNCT
cana-1052	30	8	server	server	NOUN
cana-1052	30	9	m	m	NOUN
cana-1052	30	10	/	/	SYM
cana-1052	30	11	m/1	m/1	NOUN
cana-1052	30	12	/	/	SYM
cana-1052	30	13	n	n	CCONJ
cana-1052	30	14	feedback	feedback	NOUN
cana-1052	30	15	queuing	queuing	NOUN
cana-1052	30	16	system	system	NOUN
cana-1052	30	17	that	that	PRON
cana-1052	30	18	includes	include	VERB
cana-1052	30	19	vacation	vacation	NOUN
cana-1052	30	20	,	,	PUNCT
cana-1052	30	21	balking	balk	VERB
cana-1052	30	22	,	,	PUNCT
cana-1052	30	23	reneging	renege	VERB
cana-1052	30	24	and	and	CCONJ
cana-1052	30	25	customer	customer	NOUN
cana-1052	30	26	retention	retention	NOUN
cana-1052	30	27	.	.	PUNCT
cana-1052	31	1	abdul	abdul	PROPN
cana-1052	31	2	rasheed	rasheed	PROPN
cana-1052	31	3	et	et	PROPN
cana-1052	31	4	al	al	PROPN
cana-1052	31	5	.	.	PUNCT
cana-1052	32	1	[	[	X
cana-1052	32	2	2	2	NUM
cana-1052	32	3	]	]	PUNCT
cana-1052	32	4	investigated	investigate	VERB
cana-1052	32	5	the	the	DET
cana-1052	32	6	discouraged	discouraged	ADJ
cana-1052	32	7	arrival	arrival	NOUN
cana-1052	32	8	of	of	ADP
cana-1052	32	9	markovian	markovian	NOUN
cana-1052	32	10	queueing	queue	VERB
cana-1052	32	11	systems	system	NOUN
cana-1052	32	12	,	,	PUNCT
cana-1052	32	13	which	which	PRON
cana-1052	32	14	regulate	regulate	VERB
cana-1052	32	15	service	service	NOUN
cana-1052	32	16	speed	speed	NOUN
cana-1052	32	17	according	accord	VERB
cana-1052	32	18	on	on	ADP
cana-1052	32	19	customer	customer	NOUN
cana-1052	32	20	count	count	NOUN
cana-1052	32	21	.	.	PUNCT
cana-1052	33	1	courtois	courtois	PROPN
cana-1052	33	2	and	and	CCONJ
cana-1052	33	3	george	george	PROPN
cana-1052	33	4	[	[	X
cana-1052	33	5	4	4	X
cana-1052	33	6	]	]	PUNCT
cana-1052	33	7	found	find	VERB
cana-1052	33	8	that	that	SCONJ
cana-1052	33	9	a	a	DET
cana-1052	33	10	customer	customer	NOUN
cana-1052	33	11	’s	’s	PART
cana-1052	33	12	desire	desire	NOUN
cana-1052	33	13	for	for	ADP
cana-1052	33	14	service	service	NOUN
cana-1052	33	15	is	be	AUX
cana-1052	33	16	communications	communication	NOUN
cana-1052	33	17	on	on	ADP
cana-1052	33	18	applied	apply	VERB
cana-1052	33	19	nonlinear	nonlinear	ADJ
cana-1052	33	20	analysis	analysis	NOUN
cana-1052	33	21	issn	issn	NOUN
cana-1052	33	22	:	:	PUNCT
cana-1052	33	23	1074	1074	NUM
cana-1052	33	24	-	-	PUNCT
cana-1052	33	25	133x	133x	NUM
cana-1052	33	26	vol	vol	NOUN
cana-1052	33	27	31	31	NUM
cana-1052	33	28	no	no	NOUN
cana-1052	33	29	.	.	PUNCT
cana-1052	34	1	5s	5s	NUM
cana-1052	34	2	(	(	PUNCT
cana-1052	34	3	2024	2024	NUM
cana-1052	34	4	)	)	PUNCT
cana-1052	34	5	313	313	NUM
cana-1052	34	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1052	34	7	influenced	influence	VERB
cana-1052	34	8	by	by	ADP
cana-1052	34	9	the	the	DET
cana-1052	34	10	duration	duration	NOUN
cana-1052	34	11	of	of	ADP
cana-1052	34	12	their	their	PRON
cana-1052	34	13	wait	wait	NOUN
cana-1052	34	14	time	time	NOUN
cana-1052	34	15	.	.	PUNCT
cana-1052	35	1	haddadi	haddadi	NOUN
cana-1052	36	1	[	[	X
cana-1052	36	2	6	6	NUM
cana-1052	36	3	]	]	PUNCT
cana-1052	36	4	proposed	propose	VERB
cana-1052	36	5	a	a	DET
cana-1052	36	6	method	method	NOUN
cana-1052	36	7	for	for	ADP
cana-1052	36	8	studying	study	VERB
cana-1052	36	9	busy	busy	ADJ
cana-1052	36	10	period	period	NOUN
cana-1052	36	11	processes	process	NOUN
cana-1052	36	12	in	in	ADP
cana-1052	36	13	queue	queue	NOUN
cana-1052	36	14	models	model	NOUN
cana-1052	36	15	.	.	PUNCT
cana-1052	37	1	satish	satish	PROPN
cana-1052	37	2	kumar	kumar	PROPN
cana-1052	37	3	et	et	PROPN
cana-1052	37	4	al	al	PROPN
cana-1052	37	5	.	.	PUNCT
cana-1052	38	1	[	[	X
cana-1052	38	2	7	7	NUM
cana-1052	38	3	]	]	PUNCT
cana-1052	38	4	developed	develop	VERB
cana-1052	38	5	a	a	DET
cana-1052	38	6	single	single	ADJ
cana-1052	38	7	-	-	PUNCT
cana-1052	38	8	server	server	NOUN
cana-1052	38	9	markovian	markovian	NOUN
cana-1052	38	10	queueing	queue	VERB
cana-1052	38	11	system	system	NOUN
cana-1052	38	12	with	with	ADP
cana-1052	38	13	limited	limited	ADJ
cana-1052	38	14	capacity	capacity	NOUN
cana-1052	38	15	,	,	PUNCT
cana-1052	38	16	encouraged	encouraged	ADJ
cana-1052	38	17	or	or	CCONJ
cana-1052	38	18	discouraged	discourage	VERB
cana-1052	38	19	arrivals	arrival	NOUN
cana-1052	38	20	and	and	CCONJ
cana-1052	38	21	a	a	DET
cana-1052	38	22	modified	modify	VERB
cana-1052	38	23	customer	customer	NOUN
cana-1052	38	24	reneging	renege	VERB
cana-1052	38	25	policy	policy	NOUN
cana-1052	38	26	.	.	PUNCT
cana-1052	39	1	reynolds	reynold	NOUN
cana-1052	40	1	[	[	X
cana-1052	40	2	8	8	NUM
cana-1052	40	3	]	]	PUNCT
cana-1052	40	4	researched	research	VERB
cana-1052	40	5	multi	multi	ADJ
cana-1052	40	6	-	-	ADJ
cana-1052	40	7	server	server	ADJ
cana-1052	40	8	queuing	queuing	NOUN
cana-1052	40	9	models	model	NOUN
cana-1052	40	10	with	with	ADP
cana-1052	40	11	diminishing	diminish	VERB
cana-1052	40	12	arrival	arrival	NOUN
cana-1052	40	13	rates	rate	NOUN
cana-1052	40	14	as	as	ADP
cana-1052	40	15	queue	queue	NOUN
cana-1052	40	16	length	length	NOUN
cana-1052	40	17	increases	increase	NOUN
cana-1052	40	18	.	.	PUNCT
cana-1052	41	1	kumar	kumar	PROPN
cana-1052	41	2	[	[	X
cana-1052	41	3	9	9	NUM
cana-1052	41	4	]	]	PUNCT
cana-1052	41	5	studied	study	VERB
cana-1052	41	6	a	a	DET
cana-1052	41	7	reneged	renege	VERB
cana-1052	41	8	customer	customer	NOUN
cana-1052	41	9	may	may	AUX
cana-1052	41	10	be	be	AUX
cana-1052	41	11	persuaded	persuade	VERB
cana-1052	41	12	to	to	PART
cana-1052	41	13	stay	stay	VERB
cana-1052	41	14	in	in	ADP
cana-1052	41	15	the	the	DET
cana-1052	41	16	wait	wait	NOUN
cana-1052	41	17	for	for	ADP
cana-1052	41	18	additional	additional	ADJ
cana-1052	41	19	service	service	NOUN
cana-1052	41	20	with	with	ADP
cana-1052	41	21	a	a	DET
cana-1052	41	22	probability	probability	NOUN
cana-1052	41	23	of	of	ADP
cana-1052	41	24	q	q	NOUN
cana-1052	41	25	or	or	CCONJ
cana-1052	41	26	they	they	PRON
cana-1052	41	27	may	may	AUX
cana-1052	41	28	depart	depart	VERB
cana-1052	41	29	the	the	DET
cana-1052	41	30	queue	queue	NOUN
cana-1052	41	31	without	without	ADP
cana-1052	41	32	obtaining	obtain	VERB
cana-1052	41	33	service	service	NOUN
cana-1052	41	34	with	with	ADP
cana-1052	41	35	a	a	DET
cana-1052	41	36	probability	probability	NOUN
cana-1052	41	37	of	of	ADP
cana-1052	41	38	p	p	NOUN
cana-1052	41	39	=	=	NOUN
cana-1052	41	40	1	1	NUM
cana-1052	41	41	-q	-q	X
cana-1052	41	42	.	.	PUNCT
cana-1052	41	43	parthasarathy	parthasarathy	PROPN
cana-1052	41	44	et	et	PROPN
cana-1052	41	45	al	al	PROPN
cana-1052	41	46	.	.	PUNCT
cana-1052	42	1	[	[	X
cana-1052	42	2	11,12	11,12	NOUN
cana-1052	42	3	]	]	PUNCT
cana-1052	42	4	conducted	conduct	VERB
cana-1052	42	5	a	a	DET
cana-1052	42	6	transient	transient	ADJ
cana-1052	42	7	analysis	analysis	NOUN
cana-1052	42	8	of	of	ADP
cana-1052	42	9	a	a	DET
cana-1052	42	10	line	line	NOUN
cana-1052	42	11	with	with	ADP
cana-1052	42	12	potential	potential	ADJ
cana-1052	42	13	customers	customer	NOUN
cana-1052	42	14	discouraged	discourage	VERB
cana-1052	42	15	by	by	ADP
cana-1052	42	16	its	its	PRON
cana-1052	42	17	length	length	NOUN
cana-1052	42	18	and	and	CCONJ
cana-1052	42	19	a	a	DET
cana-1052	42	20	fluid	fluid	ADJ
cana-1052	42	21	queue	queue	NOUN
cana-1052	42	22	driven	drive	VERB
cana-1052	42	23	by	by	ADP
cana-1052	42	24	discouraged	discouraged	ADJ
cana-1052	42	25	arrivals	arrival	NOUN
cana-1052	42	26	.	.	PUNCT
cana-1052	43	1	they	they	PRON
cana-1052	43	2	obtained	obtain	VERB
cana-1052	43	3	explicit	explicit	ADJ
cana-1052	43	4	formulas	formula	NOUN
cana-1052	43	5	for	for	ADP
cana-1052	43	6	the	the	DET
cana-1052	43	7	stationary	stationary	ADJ
cana-1052	43	8	distribution	distribution	NOUN
cana-1052	43	9	function	function	NOUN
cana-1052	43	10	.	.	PUNCT
cana-1052	44	1	sanga	sanga	PROPN
cana-1052	44	2	et	et	PROPN
cana-1052	44	3	al	al	PROPN
cana-1052	44	4	.	.	PUNCT
cana-1052	45	1	[	[	X
cana-1052	45	2	13	13	NUM
cana-1052	45	3	]	]	PUNCT
cana-1052	45	4	proposed	propose	VERB
cana-1052	45	5	a	a	DET
cana-1052	45	6	queueing	queue	VERB
cana-1052	45	7	model	model	NOUN
cana-1052	45	8	with	with	ADP
cana-1052	45	9	a	a	DET
cana-1052	45	10	single	single	ADJ
cana-1052	45	11	server	server	NOUN
cana-1052	45	12	,	,	PUNCT
cana-1052	45	13	finite	finite	ADJ
cana-1052	45	14	capacity	capacity	NOUN
cana-1052	45	15	,	,	PUNCT
cana-1052	45	16	discouraged	discourage	VERB
cana-1052	45	17	customers	customer	NOUN
cana-1052	45	18	,	,	PUNCT
cana-1052	45	19	and	and	CCONJ
cana-1052	45	20	distributed	distribute	VERB
cana-1052	45	21	retry	retry	PROPN
cana-1052	45	22	times	time	NOUN
cana-1052	45	23	.	.	PUNCT
cana-1052	46	1	sharma	sharma	PROPN
cana-1052	46	2	et	et	PROPN
cana-1052	46	3	al	al	PROPN
cana-1052	46	4	.	.	PUNCT
cana-1052	47	1	[	[	X
cana-1052	47	2	14	14	NUM
cana-1052	47	3	]	]	PUNCT
cana-1052	47	4	computed	compute	VERB
cana-1052	47	5	closed	closed	ADJ
cana-1052	47	6	-	-	PUNCT
cana-1052	47	7	form	form	NOUN
cana-1052	47	8	probability	probability	NOUN
cana-1052	47	9	for	for	ADP
cana-1052	47	10	transient	transient	ADJ
cana-1052	47	11	states	state	NOUN
cana-1052	47	12	in	in	ADP
cana-1052	47	13	a	a	DET
cana-1052	47	14	finite	finite	ADJ
cana-1052	47	15	waiting	waiting	NOUN
cana-1052	47	16	space	space	NOUN
cana-1052	47	17	.	.	PUNCT
cana-1052	48	1	rao	rao	NOUN
cana-1052	49	1	[	[	X
cana-1052	49	2	15	15	NUM
cana-1052	49	3	]	]	PUNCT
cana-1052	49	4	mentioned	mention	VERB
cana-1052	49	5	,	,	PUNCT
cana-1052	49	6	the	the	DET
cana-1052	49	7	m	m	NOUN
cana-1052	49	8	/	/	SYM
cana-1052	49	9	g/1	g/1	NOUN
cana-1052	49	10	queuing	queue	VERB
cana-1052	49	11	procedure	procedure	NOUN
cana-1052	49	12	involves	involve	VERB
cana-1052	49	13	units	unit	NOUN
cana-1052	49	14	that	that	PRON
cana-1052	49	15	balk	balk	VERB
cana-1052	49	16	and	and	CCONJ
cana-1052	49	17	renege	renege	VERB
cana-1052	49	18	.	.	PUNCT
cana-1052	50	1	unit	unit	NOUN
cana-1052	50	2	servicing	servicing	NOUN
cana-1052	50	3	may	may	AUX
cana-1052	50	4	experience	experience	VERB
cana-1052	50	5	breakdowns	breakdown	NOUN
cana-1052	50	6	due	due	ADJ
cana-1052	50	7	to	to	ADP
cana-1052	50	8	disruptions	disruption	NOUN
cana-1052	50	9	,	,	PUNCT
cana-1052	50	10	which	which	PRON
cana-1052	50	11	must	must	AUX
cana-1052	50	12	be	be	AUX
cana-1052	50	13	addressed	address	VERB
cana-1052	50	14	promptly	promptly	ADV
cana-1052	50	15	.	.	PUNCT
cana-1052	51	1	van	van	PROPN
cana-1052	51	2	doorn	doorn	PROPN
cana-1052	51	3	[	[	X
cana-1052	51	4	18	18	NUM
cana-1052	51	5	]	]	PUNCT
cana-1052	51	6	investigated	investigate	VERB
cana-1052	51	7	exact	exact	ADJ
cana-1052	51	8	formulas	formula	NOUN
cana-1052	51	9	for	for	ADP
cana-1052	51	10	the	the	DET
cana-1052	51	11	birth	birth	NOUN
cana-1052	51	12	-	-	PUNCT
cana-1052	51	13	death	death	NOUN
cana-1052	51	14	process	process	NOUN
cana-1052	51	15	transition	transition	NOUN
cana-1052	51	16	probability	probability	NOUN
cana-1052	51	17	.	.	PUNCT
cana-1052	52	1	the	the	DET
cana-1052	52	2	model	model	NOUN
cana-1052	52	3	treated	treat	VERB
cana-1052	52	4	in	in	ADP
cana-1052	52	5	this	this	DET
cana-1052	52	6	paper	paper	NOUN
cana-1052	52	7	is	be	AUX
cana-1052	52	8	immediately	immediately	ADV
cana-1052	52	9	applicable	applicable	ADJ
cana-1052	52	10	to	to	ADP
cana-1052	52	11	many	many	ADJ
cana-1052	52	12	fields	field	NOUN
cana-1052	52	13	such	such	ADJ
cana-1052	52	14	as	as	ADP
cana-1052	52	15	computer	computer	NOUN
cana-1052	52	16	systems	system	NOUN
cana-1052	52	17	,	,	PUNCT
cana-1052	52	18	telecommunication	telecommunication	NOUN
cana-1052	52	19	systems	system	NOUN
cana-1052	52	20	and	and	CCONJ
cana-1052	52	21	production	production	NOUN
cana-1052	52	22	systems	system	NOUN
cana-1052	52	23	.	.	PUNCT
cana-1052	53	1	the	the	DET
cana-1052	53	2	outlook	outlook	NOUN
cana-1052	53	3	of	of	ADP
cana-1052	53	4	this	this	DET
cana-1052	53	5	paper	paper	NOUN
cana-1052	53	6	is	be	AUX
cana-1052	53	7	as	as	SCONJ
cana-1052	53	8	follows	follow	VERB
cana-1052	53	9	.	.	PUNCT
cana-1052	54	1	we	we	PRON
cana-1052	54	2	describe	describe	VERB
cana-1052	54	3	the	the	DET
cana-1052	54	4	model	model	NOUN
cana-1052	54	5	and	and	CCONJ
cana-1052	54	6	introduce	introduce	VERB
cana-1052	54	7	notation	notation	NOUN
cana-1052	54	8	in	in	ADP
cana-1052	54	9	section	section	NOUN
cana-1052	54	10	2	2	NUM
cana-1052	54	11	.	.	PUNCT
cana-1052	55	1	in	in	ADP
cana-1052	55	2	section	section	NOUN
cana-1052	55	3	3	3	NUM
cana-1052	55	4	,	,	PUNCT
cana-1052	55	5	we	we	PRON
cana-1052	55	6	obtain	obtain	VERB
cana-1052	55	7	the	the	DET
cana-1052	55	8	steady	steady	ADJ
cana-1052	55	9	state	state	NOUN
cana-1052	55	10	probabilities	probability	NOUN
cana-1052	55	11	and	and	CCONJ
cana-1052	55	12	the	the	DET
cana-1052	55	13	moments	moment	NOUN
cana-1052	55	14	of	of	ADP
cana-1052	55	15	the	the	DET
cana-1052	55	16	queue	queue	NOUN
cana-1052	55	17	length	length	NOUN
cana-1052	55	18	distribution	distribution	NOUN
cana-1052	55	19	.	.	PUNCT
cana-1052	56	1	the	the	DET
cana-1052	56	2	performance	performance	NOUN
cana-1052	56	3	measures	measure	NOUN
cana-1052	56	4	are	be	AUX
cana-1052	56	5	obtained	obtain	VERB
cana-1052	56	6	in	in	ADP
cana-1052	56	7	section	section	NOUN
cana-1052	56	8	4	4	NUM
cana-1052	56	9	.	.	PUNCT
cana-1052	56	10	optimization	optimization	NOUN
cana-1052	56	11	process	process	NOUN
cana-1052	56	12	is	be	AUX
cana-1052	56	13	carried	carry	VERB
cana-1052	56	14	out	out	ADP
cana-1052	56	15	in	in	ADP
cana-1052	56	16	section	section	NOUN
cana-1052	56	17	5	5	NUM
cana-1052	56	18	by	by	ADP
cana-1052	56	19	total	total	ADJ
cana-1052	56	20	cost	cost	NOUN
cana-1052	56	21	method	method	NOUN
cana-1052	56	22	,	,	PUNCT
cana-1052	56	23	direct	direct	ADJ
cana-1052	56	24	search	search	NOUN
cana-1052	56	25	method	method	NOUN
cana-1052	56	26	and	and	CCONJ
cana-1052	56	27	particular	particular	ADJ
cana-1052	56	28	swarm	swarm	NOUN
cana-1052	56	29	optimization	optimization	NOUN
cana-1052	56	30	(	(	PUNCT
cana-1052	56	31	pso)method	pso)method	PROPN
cana-1052	56	32	.	.	PROPN
cana-1052	57	1	numerical	numerical	ADJ
cana-1052	57	2	analysis	analysis	NOUN
cana-1052	57	3	is	be	AUX
cana-1052	57	4	carried	carry	VERB
cana-1052	57	5	out	out	ADP
cana-1052	57	6	in	in	ADP
cana-1052	57	7	section	section	NOUN
cana-1052	57	8	6	6	NUM
cana-1052	57	9	.	.	NOUN
cana-1052	57	10	2	2	NUM
cana-1052	57	11	.	.	NOUN
cana-1052	57	12	model	model	NOUN
cana-1052	57	13	formulation	formulation	NOUN
cana-1052	57	14	consider	consider	VERB
cana-1052	57	15	a	a	DET
cana-1052	57	16	finite	finite	ADJ
cana-1052	57	17	buffer	buffer	NOUN
cana-1052	57	18	markovian	markovian	PROPN
cana-1052	57	19	queue	queue	NOUN
cana-1052	57	20	with	with	ADP
cana-1052	57	21	a	a	DET
cana-1052	57	22	single	single	ADJ
cana-1052	57	23	hiatus	hiatus	NOUN
cana-1052	57	24	policy	policy	NOUN
cana-1052	57	25	with	with	ADP
cana-1052	57	26	the	the	DET
cana-1052	57	27	following	follow	VERB
cana-1052	57	28	assumptions	assumption	NOUN
cana-1052	57	29	.	.	PUNCT
cana-1052	58	1	•	•	NUM
cana-1052	58	2	beneficiary	beneficiary	NOUN
cana-1052	58	3	entries	entry	NOUN
cana-1052	58	4	occur	occur	VERB
cana-1052	58	5	in	in	ADP
cana-1052	58	6	a	a	DET
cana-1052	58	7	poisson	poisson	NOUN
cana-1052	58	8	stream	stream	NOUN
cana-1052	58	9	at	at	ADP
cana-1052	58	10	a	a	DET
cana-1052	58	11	rate	rate	NOUN
cana-1052	58	12	λ	λ	NOUN
cana-1052	58	13	•	•	NOUN
cana-1052	58	14	the	the	DET
cana-1052	58	15	service	service	NOUN
cana-1052	58	16	times	time	NOUN
cana-1052	58	17	follow	follow	VERB
cana-1052	58	18	an	an	DET
cana-1052	58	19	exponential	exponential	ADJ
cana-1052	58	20	distribution	distribution	NOUN
cana-1052	58	21	with	with	ADP
cana-1052	58	22	µ.	µ.	NOUN
cana-1052	58	23	•	•	ADP
cana-1052	58	24	the	the	DET
cana-1052	58	25	beneficiaries	beneficiary	NOUN
cana-1052	58	26	are	be	AUX
cana-1052	58	27	receiving	receive	VERB
cana-1052	58	28	service	service	NOUN
cana-1052	58	29	on	on	ADP
cana-1052	58	30	a	a	DET
cana-1052	58	31	first	first	ADJ
cana-1052	58	32	come	come	NOUN
cana-1052	58	33	first	first	ADV
cana-1052	58	34	serve	serve	VERB
cana-1052	58	35	(	(	PUNCT
cana-1052	58	36	fcfs	fcfs	PROPN
cana-1052	58	37	)	)	PUNCT
cana-1052	58	38	.	.	PUNCT
cana-1052	59	1	•	•	NOUN
cana-1052	59	2	a	a	DET
cana-1052	59	3	single	single	ADJ
cana-1052	59	4	hiatus(α	hiatus(α	NOUN
cana-1052	59	5	)	)	PUNCT
cana-1052	59	6	scheme	scheme	NOUN
cana-1052	59	7	is	be	AUX
cana-1052	59	8	followed	follow	VERB
cana-1052	59	9	.	.	PUNCT
cana-1052	60	1	once	once	SCONJ
cana-1052	60	2	the	the	DET
cana-1052	60	3	system	system	NOUN
cana-1052	60	4	reaches	reach	VERB
cana-1052	60	5	the	the	DET
cana-1052	60	6	zero	zero	NUM
cana-1052	60	7	-	-	PUNCT
cana-1052	60	8	beneficiary	beneficiary	NOUN
cana-1052	60	9	level	level	NOUN
cana-1052	60	10	,	,	PUNCT
cana-1052	60	11	the	the	DET
cana-1052	60	12	service	service	NOUN
cana-1052	60	13	provider	provider	NOUN
cana-1052	60	14	departs	depart	VERB
cana-1052	60	15	from	from	ADP
cana-1052	60	16	the	the	DET
cana-1052	60	17	service	service	NOUN
cana-1052	60	18	station	station	NOUN
cana-1052	60	19	for	for	ADP
cana-1052	60	20	a	a	DET
cana-1052	60	21	hiatus	hiatus	NOUN
cana-1052	60	22	.	.	PUNCT
cana-1052	61	1	•	•	INTJ
cana-1052	61	2	if	if	SCONJ
cana-1052	61	3	there	there	PRON
cana-1052	61	4	are	be	VERB
cana-1052	61	5	beneficiaries	beneficiary	NOUN
cana-1052	61	6	in	in	ADP
cana-1052	61	7	the	the	DET
cana-1052	61	8	waiting	waiting	NOUN
cana-1052	61	9	line	line	NOUN
cana-1052	61	10	at	at	ADP
cana-1052	61	11	the	the	DET
cana-1052	61	12	end	end	NOUN
cana-1052	61	13	of	of	ADP
cana-1052	61	14	a	a	DET
cana-1052	61	15	hiatus	hiatus	NOUN
cana-1052	61	16	,	,	PUNCT
cana-1052	61	17	the	the	DET
cana-1052	61	18	server	server	NOUN
cana-1052	61	19	begins	begin	VERB
cana-1052	61	20	to	to	PART
cana-1052	61	21	provide	provide	VERB
cana-1052	61	22	service	service	NOUN
cana-1052	61	23	.	.	PUNCT
cana-1052	62	1	otherwise	otherwise	ADV
cana-1052	62	2	,	,	PUNCT
cana-1052	62	3	the	the	DET
cana-1052	62	4	service	service	NOUN
cana-1052	62	5	provider	provider	NOUN
cana-1052	62	6	remains	remain	VERB
cana-1052	62	7	waiting	wait	VERB
cana-1052	62	8	in	in	ADP
cana-1052	62	9	the	the	DET
cana-1052	62	10	service	service	NOUN
cana-1052	62	11	station	station	NOUN
cana-1052	62	12	for	for	ADP
cana-1052	62	13	the	the	DET
cana-1052	62	14	new	new	ADJ
cana-1052	62	15	beneficiaries	beneficiary	NOUN
cana-1052	62	16	.	.	PUNCT
cana-1052	63	1	a	a	DET
cana-1052	63	2	hiatus	hiatus	NOUN
cana-1052	63	3	period	period	NOUN
cana-1052	63	4	is	be	AUX
cana-1052	63	5	exponentially	exponentially	ADV
cana-1052	63	6	distributed	distribute	VERB
cana-1052	63	7	with	with	ADP
cana-1052	63	8	γ	γ	PROPN
cana-1052	63	9	.	.	PROPN
cana-1052	63	10	•	•	NUM
cana-1052	63	11	while	while	SCONJ
cana-1052	63	12	the	the	DET
cana-1052	63	13	service	service	NOUN
cana-1052	63	14	provider	provider	NOUN
cana-1052	63	15	is	be	AUX
cana-1052	63	16	on	on	ADP
cana-1052	63	17	hiatus	hiatus	NOUN
cana-1052	63	18	,	,	PUNCT
cana-1052	63	19	arriving	arrive	VERB
cana-1052	63	20	beneficiaries	beneficiary	NOUN
cana-1052	63	21	are	be	AUX
cana-1052	63	22	discouraged	discourage	VERB
cana-1052	63	23	harmonically	harmonically	ADV
cana-1052	63	24	with	with	ADP
cana-1052	63	25	respect	respect	NOUN
cana-1052	63	26	to	to	ADP
cana-1052	63	27	the	the	DET
cana-1052	63	28	number	number	NOUN
cana-1052	63	29	of	of	ADP
cana-1052	63	30	beneficiaries	beneficiary	NOUN
cana-1052	63	31	waiting	wait	VERB
cana-1052	63	32	in	in	ADP
cana-1052	63	33	system	system	NOUN
cana-1052	63	34	,	,	PUNCT
cana-1052	63	35	that	that	ADV
cana-1052	63	36	is	is	ADV
cana-1052	63	37	,	,	PUNCT
cana-1052	63	38	𝜆𝑛	𝜆𝑛	ADP
cana-1052	63	39	=	=	SYM
cana-1052	63	40	𝜆	𝜆	DET
cana-1052	63	41	𝑛+1	𝑛+1	PROPN
cana-1052	63	42	,	,	PUNCT
cana-1052	63	43	𝑛	𝑛	PRON
cana-1052	63	44	≥	≥	NOUN
cana-1052	63	45	0	0	NUM
cana-1052	63	46	figure	figure	NOUN
cana-1052	63	47	1	1	NUM
cana-1052	63	48	:	:	PUNCT
cana-1052	63	49	state	state	NOUN
cana-1052	63	50	transition	transition	NOUN
cana-1052	63	51	diagram	diagram	NOUN
cana-1052	63	52	communications	communication	NOUN
cana-1052	63	53	on	on	ADP
cana-1052	63	54	applied	apply	VERB
cana-1052	63	55	nonlinear	nonlinear	ADJ
cana-1052	63	56	analysis	analysis	NOUN
cana-1052	63	57	issn	issn	NOUN
cana-1052	63	58	:	:	PUNCT
cana-1052	63	59	1074	1074	NUM
cana-1052	63	60	-	-	PUNCT
cana-1052	63	61	133x	133x	NUM
cana-1052	63	62	vol	vol	NOUN
cana-1052	63	63	31	31	NUM
cana-1052	63	64	no	no	NOUN
cana-1052	63	65	.	.	PUNCT
cana-1052	64	1	5s	5s	NUM
cana-1052	64	2	(	(	PUNCT
cana-1052	64	3	2024	2024	NUM
cana-1052	64	4	)	)	PUNCT
cana-1052	64	5	314	314	NUM
cana-1052	64	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1052	64	7	•	•	ADP
cana-1052	64	8	the	the	DET
cana-1052	64	9	state	state	NOUN
cana-1052	64	10	transition	transition	NOUN
cana-1052	64	11	diagram	diagram	NOUN
cana-1052	64	12	of	of	ADP
cana-1052	64	13	the	the	DET
cana-1052	64	14	queueing	queue	VERB
cana-1052	64	15	model	model	NOUN
cana-1052	64	16	undertaken	undertake	VERB
cana-1052	64	17	is	be	AUX
cana-1052	64	18	displayed	display	VERB
cana-1052	64	19	in	in	ADP
cana-1052	64	20	figure	figure	NOUN
cana-1052	64	21	1	1	NUM
cana-1052	64	22	.	.	NOUN
cana-1052	65	1	•	•	NUM
cana-1052	65	2	let	let	VERB
cana-1052	65	3	n(t	n(t	PRON
cana-1052	65	4	)	)	PUNCT
cana-1052	65	5	be	be	AUX
cana-1052	65	6	the	the	DET
cana-1052	65	7	quantity	quantity	NOUN
cana-1052	65	8	of	of	ADP
cana-1052	65	9	customers	customer	NOUN
cana-1052	65	10	in	in	ADP
cana-1052	65	11	the	the	DET
cana-1052	65	12	system	system	NOUN
cana-1052	65	13	at	at	ADP
cana-1052	65	14	time	time	NOUN
cana-1052	65	15	t.	t.	PROPN
cana-1052	65	16	at	at	ADP
cana-1052	65	17	that	that	DET
cana-1052	65	18	point	point	NOUN
cana-1052	65	19	the	the	DET
cana-1052	65	20	bivariate	bivariate	ADJ
cana-1052	65	21	process	process	NOUN
cana-1052	65	22	{	{	PUNCT
cana-1052	65	23	(	(	PUNCT
cana-1052	65	24	c(t	c(t	PROPN
cana-1052	65	25	)	)	PUNCT
cana-1052	65	26	,	,	PUNCT
cana-1052	65	27	n(t	n(t	PROPN
cana-1052	65	28	)	)	PUNCT
cana-1052	65	29	)	)	PUNCT
cana-1052	65	30	,	,	PUNCT
cana-1052	65	31	t	t	PROPN
cana-1052	65	32	≥	≥	NUM
cana-1052	65	33	0	0	NUM
cana-1052	65	34	}	}	PUNCT
cana-1052	65	35	is	be	AUX
cana-1052	65	36	a	a	DET
cana-1052	65	37	persistent	persistent	ADJ
cana-1052	65	38	time	time	NOUN
cana-1052	65	39	markov	markov	NOUN
cana-1052	65	40	chain	chain	NOUN
cana-1052	65	41	.	.	PUNCT
cana-1052	66	1	let	let	VERB
cana-1052	66	2	pi	pi	NOUN
cana-1052	66	3	,	,	PUNCT
cana-1052	66	4	n(t	n(t	PROPN
cana-1052	66	5	)	)	PUNCT
cana-1052	66	6	=	=	SYM
cana-1052	67	1	prob	prob	NOUN
cana-1052	67	2	{	{	PUNCT
cana-1052	67	3	c(t	c(t	PROPN
cana-1052	67	4	)	)	PUNCT
cana-1052	67	5	=	=	SYM
cana-1052	68	1	i	i	PROPN
cana-1052	68	2	,	,	PUNCT
cana-1052	68	3	n(t	n(t	PROPN
cana-1052	68	4	)	)	PUNCT
cana-1052	68	5	=	=	SYM
cana-1052	69	1	n	n	CCONJ
cana-1052	69	2	,	,	PUNCT
cana-1052	69	3	i	i	PRON
cana-1052	69	4	=	=	NOUN
cana-1052	69	5	0	0	NUM
cana-1052	69	6	,	,	PUNCT
cana-1052	69	7	1and	1and	NUM
cana-1052	69	8	n	n	NUM
cana-1052	69	9	≥	≥	NOUN
cana-1052	69	10	0	0	NUM
cana-1052	69	11	}	}	PUNCT
cana-1052	69	12	𝐶(𝑡	𝐶(𝑡	ADJ
cana-1052	69	13	)	)	PUNCT
cana-1052	69	14	=	=	NOUN
cana-1052	69	15	{	{	PUNCT
cana-1052	69	16	0	0	NUM
cana-1052	69	17	,	,	PUNCT
cana-1052	69	18	𝑖𝑓	𝑖𝑓	NOUN
cana-1052	69	19	𝑎	𝑎	VERB
cana-1052	69	20	𝑣𝑎𝑐𝑎𝑡𝑖𝑜𝑛	𝑣𝑎𝑐𝑎𝑡𝑖𝑜𝑛	PRON
cana-1052	69	21	𝑝𝑟𝑜𝑐𝑒𝑠𝑠	𝑝𝑟𝑜𝑐𝑒𝑠𝑠	NOUN
cana-1052	69	22	𝑡𝑎𝑘𝑒𝑠	𝑡𝑎𝑘𝑒𝑠	VERB
cana-1052	69	23	𝑝𝑙𝑎𝑐𝑒	𝑝𝑙𝑎𝑐𝑒	ADV
cana-1052	69	24	𝑎𝑡	𝑎𝑡	ADP
cana-1052	69	25	𝑡𝑖𝑚𝑒	𝑡𝑖𝑚𝑒	VERB
cana-1052	69	26	𝑡	𝑡	PROPN
cana-1052	69	27	1	1	NUM
cana-1052	69	28	,	,	PUNCT
cana-1052	69	29	𝑖𝑓	𝑖𝑓	NUM
cana-1052	70	1	𝑡ℎ𝑒	𝑡ℎ𝑒	VERB
cana-1052	70	2	𝑠𝑒𝑟𝑣𝑒𝑟	𝑠𝑒𝑟𝑣𝑒𝑟	NOUN
cana-1052	70	3	𝑖𝑠	𝑖𝑠	ADP
cana-1052	70	4	𝑖𝑑𝑙𝑒	𝑖𝑑𝑙𝑒	PROPN
cana-1052	70	5	(	(	PUNCT
cana-1052	70	6	𝑜𝑟	𝑜𝑟	PROPN
cana-1052	70	7	)	)	PUNCT
cana-1052	70	8	𝑎	𝑎	PRON
cana-1052	70	9	𝑟𝑒𝑔𝑢𝑙𝑎𝑟	𝑟𝑒𝑔𝑢𝑙𝑎𝑟	PROPN
cana-1052	70	10	𝑠𝑒𝑟𝑣𝑖𝑐𝑒	𝑠𝑒𝑟𝑣𝑖𝑐𝑒	PROPN
cana-1052	70	11	𝑡𝑎𝑘𝑒𝑠	𝑡𝑎𝑘𝑒𝑠	NOUN
cana-1052	70	12	𝑝𝑙𝑎𝑐𝑒	𝑝𝑙𝑎𝑐𝑒	ADV
cana-1052	70	13	𝑎𝑡	𝑎𝑡	ADP
cana-1052	70	14	𝑡𝑖𝑚𝑒	𝑡𝑖𝑚𝑒	VERB
cana-1052	70	15	𝑡	𝑡	PROPN
cana-1052	70	16	}	}	PUNCT
cana-1052	70	17	3	3	NUM
cana-1052	70	18	.	.	X
cana-1052	70	19	steady	steady	ADJ
cana-1052	70	20	state	state	NOUN
cana-1052	70	21	analysis	analysis	NOUN
cana-1052	70	22	by	by	ADP
cana-1052	70	23	markov	markov	NOUN
cana-1052	70	24	theory	theory	NOUN
cana-1052	70	25	,	,	PUNCT
cana-1052	70	26	the	the	DET
cana-1052	70	27	steady	steady	ADJ
cana-1052	70	28	state	state	NOUN
cana-1052	70	29	balance	balance	NOUN
cana-1052	70	30	flow	flow	NOUN
cana-1052	70	31	equations	equation	NOUN
cana-1052	70	32	of	of	ADP
cana-1052	70	33	assumed	assume	VERB
cana-1052	70	34	model	model	NOUN
cana-1052	70	35	are	be	AUX
cana-1052	70	36	as	as	SCONJ
cana-1052	70	37	follows	follow	VERB
cana-1052	70	38	.	.	PUNCT
cana-1052	71	1	(	(	PUNCT
cana-1052	71	2	𝜆	𝜆	X
cana-1052	71	3	+	+	NUM
cana-1052	71	4	𝛾)𝑝0,0	𝛾)𝑝0,0	NOUN
cana-1052	71	5	=	=	SYM
cana-1052	71	6	α𝑝1,0	α𝑝1,0	NOUN
cana-1052	71	7	(	(	PUNCT
cana-1052	71	8	1	1	NUM
cana-1052	71	9	)	)	PUNCT
cana-1052	71	10	(	(	PUNCT
cana-1052	71	11	𝜆	𝜆	PROPN
cana-1052	71	12	𝑛+1	𝑛+1	PROPN
cana-1052	71	13	+	+	CCONJ
cana-1052	71	14	𝛾	𝛾	PROPN
cana-1052	71	15	)	)	PUNCT
cana-1052	71	16	𝑝0,𝑛	𝑝0,𝑛	NOUN
cana-1052	71	17	=	=	PUNCT
cana-1052	72	1	𝜆	𝜆	ADP
cana-1052	72	2	𝑛	𝑛	DET
cana-1052	72	3	𝑝1,𝑛−1	𝑝1,𝑛−1	NOUN
cana-1052	72	4	,	,	PUNCT
cana-1052	72	5	1	1	NUM
cana-1052	72	6	≤	≤	NUM
cana-1052	72	7	𝑛	𝑛	DET
cana-1052	72	8	≤	≤	NOUN
cana-1052	73	1	𝑁	𝑁	PROPN
cana-1052	73	2	−	−	PROPN
cana-1052	73	3	1	1	NUM
cana-1052	73	4	(	(	PUNCT
cana-1052	73	5	2	2	NUM
cana-1052	73	6	)	)	PUNCT
cana-1052	73	7	𝛾𝑝0,𝑁	𝛾𝑝0,𝑁	NOUN
cana-1052	74	1	=	=	SYM
cana-1052	75	1	𝜆	𝜆	DET
cana-1052	75	2	𝑁	𝑁	PROPN
cana-1052	75	3	𝑝0,𝑁−1	𝑝0,𝑁−1	NOUN
cana-1052	75	4	(	(	PUNCT
cana-1052	75	5	3	3	NUM
cana-1052	75	6	)	)	PUNCT
cana-1052	75	7	(	(	PUNCT
cana-1052	75	8	𝜆	𝜆	X
cana-1052	75	9	+	+	CCONJ
cana-1052	75	10	𝛼)𝑝1,0	𝛼)𝑝1,0	NOUN
cana-1052	75	11	=	=	NOUN
cana-1052	75	12	γ𝑝0,0	γ𝑝0,0	NOUN
cana-1052	75	13	+	+	CCONJ
cana-1052	75	14	µ𝑝1.1	µ𝑝1.1	PUNCT
cana-1052	75	15	(	(	PUNCT
cana-1052	75	16	4	4	NUM
cana-1052	75	17	)	)	PUNCT
cana-1052	75	18	(	(	PUNCT
cana-1052	75	19	𝜆	𝜆	X
cana-1052	75	20	+	+	PUNCT
cana-1052	75	21	µ)𝑝1,𝑛	µ)𝑝1,𝑛	NOUN
cana-1052	75	22	=	=	SYM
cana-1052	75	23	λ𝑝1,𝑛−1	λ𝑝1,𝑛−1	PROPN
cana-1052	76	1	+	+	CCONJ
cana-1052	76	2	µ𝑝1.𝑛+1+ϒ𝑝0,𝑛	µ𝑝1.𝑛+1+ϒ𝑝0,𝑛	ADJ
cana-1052	76	3	,	,	PUNCT
cana-1052	76	4	1	1	NUM
cana-1052	76	5	≤	≤	NUM
cana-1052	76	6	𝑛	𝑛	DET
cana-1052	76	7	≤	≤	NOUN
cana-1052	76	8	𝑁	𝑁	PROPN
cana-1052	76	9	−	−	PROPN
cana-1052	76	10	1	1	NUM
cana-1052	76	11	(	(	PUNCT
cana-1052	76	12	5	5	NUM
cana-1052	76	13	)	)	PUNCT
cana-1052	76	14	(	(	PUNCT
cana-1052	76	15	𝜆	𝜆	X
cana-1052	76	16	+	+	X
cana-1052	76	17	µ)𝑝1,𝑛=	µ)𝑝1,𝑛=	ADP
cana-1052	76	18	𝜆𝑝1,𝑁−1	𝜆𝑝1,𝑁−1	NOUN
cana-1052	76	19	+	+	CCONJ
cana-1052	76	20	𝛾𝑝0,𝑁	𝛾𝑝0,𝑁	X
cana-1052	76	21	(	(	PUNCT
cana-1052	76	22	6	6	NUM
cana-1052	76	23	)	)	PUNCT
cana-1052	76	24	let	let	VERB
cana-1052	76	25	𝑃𝑖(𝑧	𝑃𝑖(𝑧	NOUN
cana-1052	76	26	)	)	PUNCT
cana-1052	76	27	=	=	PUNCT
cana-1052	76	28	∑	∑	PUNCT
cana-1052	76	29	𝑝𝑖,𝑛	𝑝𝑖,𝑛	X
cana-1052	76	30	𝑁	𝑁	PROPN
cana-1052	76	31	𝑖=0	𝑖=0	PROPN
cana-1052	76	32	𝑧𝑛	𝑧𝑛	PROPN
cana-1052	76	33	,	,	PUNCT
cana-1052	76	34	𝑖	𝑖	PROPN
cana-1052	76	35	=	=	SYM
cana-1052	76	36	0,1	0,1	NUM
cana-1052	76	37	(	(	PUNCT
cana-1052	76	38	7	7	NUM
cana-1052	76	39	)	)	PUNCT
cana-1052	76	40	be	be	AUX
cana-1052	76	41	the	the	DET
cana-1052	76	42	partial	partial	ADJ
cana-1052	76	43	probability	probability	NOUN
cana-1052	76	44	generating	generating	NOUN
cana-1052	76	45	functions	function	NOUN
cana-1052	76	46	.	.	PUNCT
cana-1052	77	1	from	from	ADP
cana-1052	77	2	(	(	PUNCT
cana-1052	77	3	3	3	NUM
cana-1052	77	4	)	)	PUNCT
cana-1052	77	5	,	,	PUNCT
cana-1052	77	6	𝑝0,𝑁	𝑝0,𝑁	VERB
cana-1052	77	7	=	=	SYM
cana-1052	77	8	𝜆	𝜆	PROPN
cana-1052	77	9	𝑁𝛾	𝑁𝛾	PROPN
cana-1052	77	10	𝑝0,𝑁−1	𝑝0,𝑁−1	NOUN
cana-1052	77	11	the	the	DET
cana-1052	77	12	recursive	recursive	ADJ
cana-1052	77	13	application	application	NOUN
cana-1052	77	14	of	of	ADP
cana-1052	77	15	(	(	PUNCT
cana-1052	77	16	2	2	NUM
cana-1052	77	17	)	)	PUNCT
cana-1052	77	18	becomes	become	VERB
cana-1052	77	19	𝑝0,𝑁	𝑝0,𝑁	ADJ
cana-1052	77	20	=	=	PUNCT
cana-1052	77	21	𝜆𝑁	𝜆𝑁	NOUN
cana-1052	77	22	𝛾	𝛾	ADP
cana-1052	77	23	∏	∏	PROPN
cana-1052	77	24	(	(	PUNCT
cana-1052	77	25	𝜆+𝑖𝛾)𝑁	𝜆+𝑖𝛾)𝑁	SYM
cana-1052	77	26	𝑖=2	𝑖=2	PROPN
cana-1052	77	27	(	(	PUNCT
cana-1052	77	28	8)	8)	NUM
cana-1052	77	29	multiply	multiply	NOUN
cana-1052	77	30	(	(	PUNCT
cana-1052	77	31	4	4	NUM
cana-1052	77	32	)	)	PUNCT
cana-1052	77	33	(	(	PUNCT
cana-1052	77	34	6	6	NUM
cana-1052	77	35	)	)	PUNCT
cana-1052	77	36	by	by	ADP
cana-1052	77	37	appropriate	appropriate	ADJ
cana-1052	77	38	𝑧𝑛	𝑧𝑛	NOUN
cana-1052	77	39	and	and	CCONJ
cana-1052	77	40	adding	add	VERB
cana-1052	77	41	,	,	PUNCT
cana-1052	77	42	we	we	PRON
cana-1052	77	43	have	have	VERB
cana-1052	77	44	𝑃1(𝑍	𝑃1(𝑍	PROPN
cana-1052	77	45	)	)	PUNCT
cana-1052	78	1	=	=	SYM
cana-1052	78	2	𝜆𝑧𝑁(1−𝑧)𝑝1,𝑁−𝛼𝑝1,0+µ𝑝1,0	𝜆𝑧𝑁(1−𝑧)𝑝1,𝑁−𝛼𝑝1,0+µ𝑝1,0	PROPN
cana-1052	79	1	+	+	ADV
cana-1052	79	2	𝛾𝑃0(𝑍	𝛾𝑃0(𝑍	PROPN
cana-1052	79	3	)	)	PUNCT
cana-1052	79	4	−	−	PROPN
cana-1052	80	1	µ𝑝1,0	µ𝑝1,0	PROPN
cana-1052	80	2	𝑧	𝑧	VERB
cana-1052	80	3	𝜆(1−𝑧)−	𝜆(1−𝑧)−	X
cana-1052	80	4	µ	µ	X
cana-1052	80	5	𝑧	𝑧	X
cana-1052	80	6	+	+	NOUN
cana-1052	80	7	µ	µ	X
cana-1052	80	8	(	(	PUNCT
cana-1052	80	9	9	9	NUM
cana-1052	80	10	)	)	PUNCT
cana-1052	80	11	here	here	ADV
cana-1052	80	12	the	the	DET
cana-1052	80	13	denominator	denominator	NOUN
cana-1052	80	14	of	of	ADP
cana-1052	80	15	𝑃1(𝑧	𝑃1(𝑧	NOUN
cana-1052	80	16	)	)	PUNCT
cana-1052	80	17	has	have	VERB
cana-1052	80	18	tworoots	tworoot	NOUN
cana-1052	80	19	1	1	NUM
cana-1052	80	20	,	,	PUNCT
cana-1052	80	21	µ	µ	X
cana-1052	80	22	𝜆	𝜆	ADV
cana-1052	80	23	from	from	ADP
cana-1052	80	24	this	this	DET
cana-1052	80	25	𝑃0(𝑍	𝑃0(𝑍	NOUN
cana-1052	80	26	)	)	PUNCT
cana-1052	80	27	=	=	PUNCT
cana-1052	81	1	𝛼	𝛼	NOUN
cana-1052	81	2	𝛾	𝛾	NOUN
cana-1052	81	3	𝑝1,0	𝑝1,0	PROPN
cana-1052	81	4	(	(	PUNCT
cana-1052	81	5	10	10	NUM
cana-1052	81	6	)	)	PUNCT
cana-1052	81	7	and	and	CCONJ
cana-1052	81	8	𝑧	𝑧	X
cana-1052	81	9	=	=	X
cana-1052	81	10	µ	µ	NOUN
cana-1052	81	11	𝜆	𝜆	NOUN
cana-1052	81	12	is	be	AUX
cana-1052	81	13	also	also	ADV
cana-1052	81	14	the	the	DET
cana-1052	81	15	root	root	NOUN
cana-1052	81	16	of	of	ADP
cana-1052	81	17	the	the	DET
cana-1052	81	18	numerator	numerator	NOUN
cana-1052	81	19	of	of	ADP
cana-1052	81	20	p1(z	p1(z	PROPN
cana-1052	81	21	)	)	PUNCT
cana-1052	81	22	communications	communication	NOUN
cana-1052	81	23	on	on	ADP
cana-1052	81	24	applied	apply	VERB
cana-1052	81	25	nonlinear	nonlinear	ADJ
cana-1052	81	26	analysis	analysis	NOUN
cana-1052	81	27	issn	issn	NOUN
cana-1052	81	28	:	:	PUNCT
cana-1052	81	29	1074	1074	NUM
cana-1052	81	30	-	-	PUNCT
cana-1052	81	31	133x	133x	NUM
cana-1052	81	32	vol	vol	NOUN
cana-1052	81	33	31	31	NUM
cana-1052	81	34	no	no	NOUN
cana-1052	81	35	.	.	PUNCT
cana-1052	82	1	5s	5s	NUM
cana-1052	82	2	(	(	PUNCT
cana-1052	82	3	2024	2024	NUM
cana-1052	82	4	)	)	PUNCT
cana-1052	82	5	315	315	NUM
cana-1052	82	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1052	82	7	0	0	PUNCT
cana-1052	83	1	=	=	SYM
cana-1052	83	2	𝜆	𝜆	X
cana-1052	83	3	(	(	PUNCT
cana-1052	83	4	µ	µ	NOUN
cana-1052	83	5	𝜆	𝜆	NOUN
cana-1052	83	6	)	)	PUNCT
cana-1052	83	7	𝑁(1	𝑁(1	CCONJ
cana-1052	84	1	−	−	PROPN
cana-1052	84	2	µ	µ	NOUN
cana-1052	84	3	𝜆	𝜆	X
cana-1052	84	4	)	)	PUNCT
cana-1052	84	5	𝑝1,𝑁	𝑝1,𝑁	PROPN
cana-1052	84	6	−	−	PROPN
cana-1052	84	7	𝛼𝑝1,0	𝛼𝑝1,0	PROPN
cana-1052	84	8	+	+	CCONJ
cana-1052	84	9	µ𝑝1,0	µ𝑝1,0	PROPN
cana-1052	84	10	+	+	CCONJ
cana-1052	84	11	𝛾𝑝0	𝛾𝑝0	PROPN
cana-1052	84	12	(	(	PUNCT
cana-1052	84	13	µ	µ	NOUN
cana-1052	84	14	𝜆	𝜆	X
cana-1052	84	15	)	)	PUNCT
cana-1052	84	16	−	−	PROPN
cana-1052	84	17	𝜆𝑝1,0	𝜆𝑝1,0	NOUN
cana-1052	84	18	(	(	PUNCT
cana-1052	84	19	11	11	NUM
cana-1052	84	20	)	)	PUNCT
cana-1052	84	21	from	from	ADP
cana-1052	84	22	(	(	PUNCT
cana-1052	84	23	1	1	NUM
cana-1052	84	24	)	)	PUNCT
cana-1052	84	25	,	,	PUNCT
cana-1052	84	26	(	(	PUNCT
cana-1052	84	27	2	2	X
cana-1052	84	28	)	)	PUNCT
cana-1052	84	29	and	and	CCONJ
cana-1052	84	30	(	(	PUNCT
cana-1052	84	31	3	3	X
cana-1052	84	32	)	)	PUNCT
cana-1052	84	33	𝑃0(𝑍	𝑃0(𝑍	NOUN
cana-1052	84	34	)	)	PUNCT
cana-1052	84	35	=	=	SYM
cana-1052	85	1	𝑝0,0	𝑝0,0	NOUN
cana-1052	86	1	[	[	X
cana-1052	86	2	1	1	NUM
cana-1052	86	3	+	+	NUM
cana-1052	86	4	∑	∑	PUNCT
cana-1052	86	5	(	(	PUNCT
cana-1052	86	6	𝑛+1)(𝜆𝑧)𝑛	𝑛+1)(𝜆𝑧)𝑛	X
cana-1052	86	7	∏	∏	PROPN
cana-1052	86	8	(	(	PUNCT
cana-1052	86	9	𝜆+(𝑖+1)𝛾)𝑛	𝜆+(𝑖+1)𝛾)𝑛	NOUN
cana-1052	86	10	𝑖=1	𝑖=1	PROPN
cana-1052	86	11	𝑁−1	𝑁−1	PROPN
cana-1052	86	12	𝑛=1	𝑛=1	NOUN
cana-1052	86	13	+	+	CCONJ
cana-1052	86	14	(	(	PUNCT
cana-1052	86	15	𝜆𝑧)𝑁	𝜆𝑧)𝑁	NOUN
cana-1052	86	16	∏	∏	PROPN
cana-1052	86	17	(	(	PUNCT
cana-1052	86	18	𝜆+𝑖𝛾)𝛾𝑁	𝜆+𝑖𝛾)𝛾𝑁	VERB
cana-1052	86	19	𝑖=2	𝑖=2	PUNCT
cana-1052	86	20	]	]	PUNCT
cana-1052	86	21	(	(	PUNCT
cana-1052	86	22	12	12	NUM
cana-1052	86	23	)	)	PUNCT
cana-1052	86	24	substitute	substitute	NOUN
cana-1052	86	25	𝑧	𝑧	NOUN
cana-1052	86	26	=	=	X
cana-1052	86	27	µ	µ	X
cana-1052	86	28	𝜆	𝜆	NOUN
cana-1052	86	29	in	in	ADP
cana-1052	86	30	the	the	DET
cana-1052	86	31	above	above	ADJ
cana-1052	86	32	equation	equation	NOUN
cana-1052	86	33	,	,	PUNCT
cana-1052	86	34	we	we	PRON
cana-1052	86	35	have	have	VERB
cana-1052	86	36	𝑃0	𝑃0	NOUN
cana-1052	86	37	(	(	PUNCT
cana-1052	86	38	µ	µ	NOUN
cana-1052	86	39	𝜆	𝜆	X
cana-1052	86	40	)	)	PUNCT
cana-1052	86	41	=	=	SYM
cana-1052	86	42	𝑝0,0	𝑝0,0	NOUN
cana-1052	86	43	ө	ө	NOUN
cana-1052	86	44	(	(	PUNCT
cana-1052	86	45	13	13	NUM
cana-1052	86	46	)	)	PUNCT
cana-1052	87	1	where	where	SCONJ
cana-1052	87	2	ө	ө	NOUN
cana-1052	87	3	=	=	NOUN
cana-1052	87	4	1	1	NUM
cana-1052	87	5	+	+	NOUN
cana-1052	87	6	∑	∑	PUNCT
cana-1052	87	7	(	(	PUNCT
cana-1052	87	8	𝑛	𝑛	PROPN
cana-1052	87	9	+	+	NOUN
cana-1052	87	10	1	1	X
cana-1052	87	11	)	)	PUNCT
cana-1052	87	12	∏	∏	PROPN
cana-1052	87	13	𝜆𝑖	𝜆𝑖	NOUN
cana-1052	87	14	𝜆+𝑖𝛾	𝜆+𝑖𝛾	NOUN
cana-1052	87	15	𝑛+1	𝑛+1	ADP
cana-1052	87	16	𝑖=2	𝑖=2	PRON
cana-1052	87	17	𝑁−1	𝑁−1	PROPN
cana-1052	87	18	𝑛=1	𝑛=1	NOUN
cana-1052	87	19	(	(	PUNCT
cana-1052	87	20	µ	µ	X
cana-1052	87	21	𝜆	𝜆	NOUN
cana-1052	87	22	)	)	PUNCT
cana-1052	87	23	𝑛	𝑛	PRON
cana-1052	87	24	+	+	NOUN
cana-1052	87	25	1	1	NUM
cana-1052	87	26	𝛾	𝛾	DET
cana-1052	87	27	∏	∏	NUM
cana-1052	87	28	𝜆𝑁	𝜆𝑁	NOUN
cana-1052	87	29	𝜆+𝑖𝛾	𝜆+𝑖𝛾	VERB
cana-1052	87	30	𝑁	𝑁	PROPN
cana-1052	87	31	𝑖=2	𝑖=2	PROPN
cana-1052	87	32	(	(	PUNCT
cana-1052	87	33	µ	µ	X
cana-1052	87	34	𝜆	𝜆	X
cana-1052	87	35	)	)	PUNCT
cana-1052	87	36	𝑁	𝑁	NOUN
cana-1052	87	37	from	from	ADP
cana-1052	87	38	(	(	PUNCT
cana-1052	87	39	11	11	NUM
cana-1052	87	40	)	)	PUNCT
cana-1052	87	41	and	and	CCONJ
cana-1052	87	42	(	(	PUNCT
cana-1052	87	43	13	13	X
cana-1052	87	44	)	)	PUNCT
cana-1052	87	45	we	we	PRON
cana-1052	87	46	have	have	VERB
cana-1052	87	47	𝑝1,𝑁	𝑝1,𝑁	PROPN
cana-1052	87	48	=	=	SYM
cana-1052	87	49	(	(	PUNCT
cana-1052	87	50	𝛼−µ+𝜆	𝛼−µ+𝜆	NUM
cana-1052	87	51	)	)	PUNCT
cana-1052	87	52	𝜆+µ	𝜆+µ	PUNCT
cana-1052	88	1	𝛼	𝛼	X
cana-1052	88	2	+	+	NOUN
cana-1052	88	3	𝛾ө	𝛾ө	ADJ
cana-1052	88	4	(	(	PUNCT
cana-1052	88	5	𝜆−µ	𝜆−µ	NOUN
cana-1052	88	6	)	)	PUNCT
cana-1052	88	7	µ	µ	NOUN
cana-1052	88	8	𝜆	𝜆	ADP
cana-1052	88	9	𝑝0,0	𝑝0,0	NOUN
cana-1052	88	10	(	(	PUNCT
cana-1052	88	11	14	14	NUM
cana-1052	88	12	)	)	PUNCT
cana-1052	88	13	from	from	ADP
cana-1052	88	14	the	the	DET
cana-1052	88	15	local	local	ADJ
cana-1052	88	16	balance	balance	NOUN
cana-1052	88	17	equation	equation	NOUN
cana-1052	88	18	,	,	PUNCT
cana-1052	88	19	ρ𝑝1,0	ρ𝑝1,0	ADJ
cana-1052	88	20	+	+	CCONJ
cana-1052	88	21	ρ	ρ	NUM
cana-1052	88	22	1	1	NUM
cana-1052	88	23	𝑝0,0	𝑝0,0	NOUN
cana-1052	88	24	=	=	SYM
cana-1052	88	25	𝑝1,1	𝑝1,1	NOUN
cana-1052	88	26	ρ𝑝1,1	ρ𝑝1,1	NOUN
cana-1052	88	27	+	+	X
cana-1052	88	28	ρ	ρ	NOUN
cana-1052	88	29	1	1	NUM
cana-1052	88	30	𝑝0,1	𝑝0,1	NOUN
cana-1052	88	31	=	=	NOUN
cana-1052	88	32	𝑝1,2	𝑝1,2	ADJ
cana-1052	88	33	.	.	PUNCT
cana-1052	88	34	.	.	PUNCT
cana-1052	88	35	.	.	PUNCT
cana-1052	89	1	ρ𝑝1,𝑁−1	ρ𝑝1,𝑁−1	NUM
cana-1052	90	1	+	+	NUM
cana-1052	90	2	ρ	ρ	NOUN
cana-1052	90	3	𝑁	𝑁	PROPN
cana-1052	90	4	𝑝0,𝑁−1	𝑝0,𝑁−1	NOUN
cana-1052	90	5	=	=	PRON
cana-1052	90	6	𝑝1,𝑁	𝑝1,𝑁	X
cana-1052	90	7	generally	generally	ADV
cana-1052	90	8	ρ𝑝1,𝑛+	ρ𝑝1,𝑛+	PROPN
cana-1052	90	9	ρ	ρ	NUM
cana-1052	90	10	𝑛	𝑛	PRON
cana-1052	90	11	𝑝0,𝑁−1	𝑝0,𝑁−1	NOUN
cana-1052	90	12	=	=	SYM
cana-1052	90	13	𝑝1,𝑛+1	𝑝1,𝑛+1	X
cana-1052	90	14	,	,	PUNCT
cana-1052	90	15	0≤n≤n-1	0≤n≤n-1	PROPN
cana-1052	90	16	(	(	PUNCT
cana-1052	90	17	15	15	NUM
cana-1052	90	18	)	)	PUNCT
cana-1052	90	19	after	after	ADP
cana-1052	90	20	some	some	DET
cana-1052	90	21	mathematical	mathematical	ADJ
cana-1052	90	22	manipulations	manipulation	NOUN
cana-1052	90	23	equation	equation	NOUN
cana-1052	90	24	(	(	PUNCT
cana-1052	90	25	15	15	NUM
cana-1052	90	26	)	)	PUNCT
cana-1052	90	27	,	,	PUNCT
cana-1052	90	28	we	we	PRON
cana-1052	90	29	obtain	obtain	VERB
cana-1052	90	30	𝜌[𝑃1(z)-𝑝1,𝑁𝑧𝑁]+ρ∑	𝜌[𝑃1(z)-𝑝1,𝑁𝑧𝑁]+ρ∑	PROPN
cana-1052	90	31	1	1	NUM
cana-1052	90	32	𝑛	𝑛	DET
cana-1052	90	33	𝑁	𝑁	PROPN
cana-1052	90	34	𝑛=1	𝑛=1	NOUN
cana-1052	90	35	𝑝0,𝑛−1=	𝑝0,𝑛−1=	VERB
cana-1052	90	36	1	1	NUM
cana-1052	90	37	𝑧	𝑧	NOUN
cana-1052	90	38	[	[	X
cana-1052	90	39	𝑃1(z)-𝑝1,0	𝑃1(z)-𝑝1,0	X
cana-1052	90	40	]	]	X
cana-1052	90	41	put	put	VERB
cana-1052	90	42	𝑧	𝑧	PRON
cana-1052	90	43	=	=	NOUN
cana-1052	90	44	1	1	NUM
cana-1052	90	45	𝑃1(1	𝑃1(1	ADJ
cana-1052	90	46	)	)	PUNCT
cana-1052	90	47	=	=	PUNCT
cana-1052	90	48	𝜌	𝜌	ADP
cana-1052	90	49	𝜌−1	𝜌−1	PROPN
cana-1052	90	50	𝑝1,𝑁	𝑝1,𝑁	PROPN
cana-1052	90	51	−	−	NOUN
cana-1052	90	52	𝜌	𝜌	ADP
cana-1052	90	53	𝜌−1	𝜌−1	PROPN
cana-1052	90	54	∑	∑	PROPN
cana-1052	90	55	1	1	NUM
cana-1052	90	56	𝑛	𝑛	DET
cana-1052	90	57	𝑁	𝑁	PROPN
cana-1052	90	58	𝑛=1	𝑛=1	NOUN
cana-1052	90	59	𝑝0,𝑛−1	𝑝0,𝑛−1	NOUN
cana-1052	90	60	−	−	NUM
cana-1052	90	61	1	1	NUM
cana-1052	90	62	𝜌−1	𝜌−1	PROPN
cana-1052	90	63	𝑝1,0	𝑝1,0	PROPN
cana-1052	90	64	(	(	PUNCT
cana-1052	90	65	16	16	NUM
cana-1052	90	66	)	)	PUNCT
cana-1052	90	67	from	from	ADP
cana-1052	90	68	the	the	DET
cana-1052	90	69	law	law	NOUN
cana-1052	90	70	of	of	ADP
cana-1052	90	71	total	total	ADJ
cana-1052	90	72	probability	probability	NOUN
cana-1052	90	73	,	,	PUNCT
cana-1052	90	74	𝑝0,0	𝑝0,0	PROPN
cana-1052	90	75	=	=	SYM
cana-1052	90	76	1	1	NUM
cana-1052	90	77	𝜆+𝛾	𝜆+𝛾	PUNCT
cana-1052	90	78	𝛾	𝛾	ADP
cana-1052	90	79	+	+	CCONJ
cana-1052	90	80	𝜌	𝜌	X
cana-1052	90	81	𝜌−1	𝜌−1	PROPN
cana-1052	90	82	[	[	X
cana-1052	90	83	𝜌𝑁	𝜌𝑁	NOUN
cana-1052	90	84	(	(	PUNCT
cana-1052	90	85	𝜆+𝛾+𝛼	𝜆+𝛾+𝛼	NOUN
cana-1052	90	86	𝛼	𝛼	X
cana-1052	90	87	)	)	PUNCT
cana-1052	90	88	+	+	CCONJ
cana-1052	91	1	𝜆𝜌	𝜆𝜌	PROPN
cana-1052	91	2	𝜆+2𝛾	𝜆+2𝛾	PROPN
cana-1052	91	3	(	(	PUNCT
cana-1052	91	4	𝜌𝑁−2+∑	𝜌𝑁−2+∑	X
cana-1052	91	5	𝜆𝑖−2𝜌𝑁−𝑖	𝜆𝑖−2𝜌𝑁−𝑖	X
cana-1052	91	6	∏	∏	PROPN
cana-1052	91	7	(	(	PUNCT
cana-1052	91	8	𝜆+𝑗𝛾)𝑖	𝜆+𝑗𝛾)𝑖	NOUN
cana-1052	91	9	𝑗=3	𝑗=3	PROPN
cana-1052	91	10	)	)	PUNCT
cana-1052	91	11	]	]	SYM
cana-1052	91	12	−	−	PROPN
cana-1052	91	13	𝜆+𝛾	𝜆+𝛾	PUNCT
cana-1052	91	14	(	(	PUNCT
cana-1052	91	15	𝜌−1)𝛼	𝜌−1)𝛼	NUM
cana-1052	91	16	−	−	NOUN
cana-1052	91	17	𝜌	𝜌	ADP
cana-1052	91	18	𝜌−1	𝜌−1	PROPN
cana-1052	91	19	∑	∑	PART
cana-1052	91	20	𝑁𝜆𝑁−1	𝑁𝜆𝑁−1	ADP
cana-1052	91	21	𝑛	𝑛	DET
cana-1052	91	22	∏	∏	PROPN
cana-1052	91	23	(	(	PUNCT
cana-1052	91	24	𝜆+𝑖𝛾)𝑁	𝜆+𝑖𝛾)𝑁	ADP
cana-1052	91	25	𝑖=2	𝑖=2	PUNCT
cana-1052	91	26	𝑁	𝑁	PROPN
cana-1052	91	27	𝑛=1	𝑛=1	NOUN
cana-1052	91	28	𝑁	𝑁	PROPN
cana-1052	91	29	𝑖=3	𝑖=3	PROPN
cana-1052	91	30	(	(	PUNCT
cana-1052	91	31	17	17	NUM
cana-1052	91	32	)	)	PUNCT
cana-1052	91	33	substitute	substitute	NOUN
cana-1052	91	34	the	the	DET
cana-1052	91	35	value	value	NOUN
cana-1052	91	36	of	of	ADP
cana-1052	91	37	𝑝0,0	𝑝0,0	NOUN
cana-1052	91	38	in	in	ADP
cana-1052	91	39	(	(	PUNCT
cana-1052	91	40	1	1	NUM
cana-1052	91	41	)	)	PUNCT
cana-1052	91	42	,	,	PUNCT
cana-1052	91	43	communications	communication	NOUN
cana-1052	91	44	on	on	ADP
cana-1052	91	45	applied	apply	VERB
cana-1052	91	46	nonlinear	nonlinear	ADJ
cana-1052	91	47	analysis	analysis	NOUN
cana-1052	91	48	issn	issn	NOUN
cana-1052	91	49	:	:	PUNCT
cana-1052	91	50	1074	1074	NUM
cana-1052	91	51	-	-	PUNCT
cana-1052	91	52	133x	133x	NUM
cana-1052	91	53	vol	vol	NOUN
cana-1052	91	54	31	31	NUM
cana-1052	91	55	no	no	NOUN
cana-1052	91	56	.	.	PUNCT
cana-1052	92	1	5s	5s	NUM
cana-1052	92	2	(	(	PUNCT
cana-1052	92	3	2024	2024	NUM
cana-1052	92	4	)	)	PUNCT
cana-1052	92	5	316	316	NUM
cana-1052	92	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1052	92	7	𝑝1,0=	𝑝1,0=	PROPN
cana-1052	92	8	(	(	PUNCT
cana-1052	92	9	𝜆+𝛾	𝜆+𝛾	PUNCT
cana-1052	92	10	𝛼	𝛼	NOUN
cana-1052	92	11	)	)	PUNCT
cana-1052	92	12	𝑝0,0	𝑝0,0	NOUN
cana-1052	92	13	𝑝1,0=	𝑝1,0=	PROPN
cana-1052	92	14	(	(	PUNCT
cana-1052	92	15	𝜆+𝛾	𝜆+𝛾	PUNCT
cana-1052	92	16	𝛼	𝛼	NOUN
cana-1052	92	17	)	)	PUNCT
cana-1052	92	18	1	1	NUM
cana-1052	92	19	𝜆+𝛾	𝜆+𝛾	PUNCT
cana-1052	92	20	𝛾	𝛾	ADP
cana-1052	92	21	+	+	CCONJ
cana-1052	92	22	𝜌	𝜌	X
cana-1052	92	23	𝜌−1	𝜌−1	PROPN
cana-1052	92	24	[	[	X
cana-1052	92	25	𝜌𝑁	𝜌𝑁	NOUN
cana-1052	92	26	(	(	PUNCT
cana-1052	92	27	𝜆+𝛾+𝛼	𝜆+𝛾+𝛼	NOUN
cana-1052	92	28	𝛼	𝛼	X
cana-1052	92	29	)	)	PUNCT
cana-1052	92	30	+	+	CCONJ
cana-1052	93	1	𝜆𝜌	𝜆𝜌	PROPN
cana-1052	93	2	𝜆+2𝛾	𝜆+2𝛾	PROPN
cana-1052	93	3	(	(	PUNCT
cana-1052	93	4	𝜌𝑁−2+∑	𝜌𝑁−2+∑	X
cana-1052	93	5	𝜆𝑖−2𝜌𝑁−𝑖	𝜆𝑖−2𝜌𝑁−𝑖	X
cana-1052	93	6	∏	∏	PROPN
cana-1052	93	7	(	(	PUNCT
cana-1052	93	8	𝜆+𝑗𝛾)𝑖	𝜆+𝑗𝛾)𝑖	NOUN
cana-1052	93	9	𝑗=3	𝑗=3	PROPN
cana-1052	93	10	)	)	PUNCT
cana-1052	93	11	]	]	SYM
cana-1052	93	12	−	−	PROPN
cana-1052	93	13	𝜆+𝛾	𝜆+𝛾	PUNCT
cana-1052	93	14	(	(	PUNCT
cana-1052	93	15	𝜌−1)𝛼	𝜌−1)𝛼	NUM
cana-1052	93	16	−	−	NOUN
cana-1052	93	17	𝜌	𝜌	ADP
cana-1052	93	18	𝜌−1	𝜌−1	PROPN
cana-1052	93	19	∑	∑	PART
cana-1052	93	20	𝑁𝜆𝑁−1	𝑁𝜆𝑁−1	ADP
cana-1052	93	21	𝑛	𝑛	DET
cana-1052	93	22	∏	∏	PROPN
cana-1052	93	23	(	(	PUNCT
cana-1052	93	24	𝜆+𝑖𝛾)𝑁	𝜆+𝑖𝛾)𝑁	ADP
cana-1052	93	25	𝑖=2	𝑖=2	PUNCT
cana-1052	93	26	𝑁	𝑁	PROPN
cana-1052	93	27	𝑛=1	𝑛=1	NOUN
cana-1052	93	28	𝑁	𝑁	PROPN
cana-1052	93	29	𝑖=3	𝑖=3	PROPN
cana-1052	93	30	(	(	PUNCT
cana-1052	93	31	18	18	NUM
cana-1052	93	32	)	)	PUNCT
cana-1052	93	33	figure	figure	NOUN
cana-1052	93	34	2	2	NUM
cana-1052	93	35	:	:	PUNCT
cana-1052	93	36	p1,0	p1,0	PROPN
cana-1052	93	37	against	against	ADP
cana-1052	93	38	λ	λ	NOUN
cana-1052	93	39	figure	figure	NOUN
cana-1052	93	40	3	3	NUM
cana-1052	93	41	:	:	PUNCT
cana-1052	93	42	p1,0	p1,0	PROPN
cana-1052	93	43	against	against	ADP
cana-1052	93	44	λ	λ	NOUN
cana-1052	93	45	figure	figure	NOUN
cana-1052	93	46	4	4	NUM
cana-1052	93	47	:	:	PUNCT
cana-1052	93	48	p1,0	p1,0	PROPN
cana-1052	93	49	against	against	ADP
cana-1052	93	50	λ	λ	PROPN
cana-1052	93	51	as	as	ADP
cana-1052	93	52	a	a	DET
cana-1052	93	53	regular	regular	ADJ
cana-1052	93	54	service	service	NOUN
cana-1052	93	55	period	period	NOUN
cana-1052	93	56	ends	end	VERB
cana-1052	93	57	,	,	PUNCT
cana-1052	93	58	if	if	SCONJ
cana-1052	93	59	there	there	PRON
cana-1052	93	60	are	be	VERB
cana-1052	93	61	customers	customer	NOUN
cana-1052	93	62	in	in	ADP
cana-1052	93	63	the	the	DET
cana-1052	93	64	system	system	NOUN
cana-1052	93	65	,	,	PUNCT
cana-1052	93	66	the	the	DET
cana-1052	93	67	system	system	NOUN
cana-1052	93	68	will	will	AUX
cana-1052	93	69	be	be	AUX
cana-1052	93	70	resumed	resume	VERB
cana-1052	93	71	to	to	ADP
cana-1052	93	72	the	the	DET
cana-1052	93	73	regular	regular	ADJ
cana-1052	93	74	service	service	NOUN
cana-1052	93	75	period	period	NOUN
cana-1052	93	76	.	.	PUNCT
cana-1052	94	1	otherwise	otherwise	ADV
cana-1052	94	2	,	,	PUNCT
cana-1052	94	3	the	the	DET
cana-1052	94	4	server	server	NOUN
cana-1052	94	5	will	will	AUX
cana-1052	94	6	enter	enter	VERB
cana-1052	94	7	into	into	ADP
cana-1052	94	8	a	a	DET
cana-1052	94	9	vacation	vacation	NOUN
cana-1052	94	10	,	,	PUNCT
cana-1052	94	11	during	during	SCONJ
cana-1052	94	12	which	which	DET
cana-1052	94	13	service	service	NOUN
cana-1052	94	14	is	be	AUX
cana-1052	94	15	not	not	PART
cana-1052	94	16	rendered	render	VERB
cana-1052	94	17	to	to	ADP
cana-1052	94	18	any	any	PRON
cana-1052	94	19	of	of	ADP
cana-1052	94	20	new	new	ADJ
cana-1052	94	21	arrivals	arrival	NOUN
cana-1052	94	22	in	in	ADP
cana-1052	94	23	the	the	DET
cana-1052	94	24	period	period	NOUN
cana-1052	94	25	completely	completely	ADV
cana-1052	94	26	.	.	PUNCT
cana-1052	95	1	ultimately	ultimately	ADV
cana-1052	95	2	as	as	ADP
cana-1052	95	3	the	the	DET
cana-1052	95	4	arrival	arrival	NOUN
cana-1052	95	5	rate	rate	NOUN
cana-1052	95	6	λ	λ	NOUN
cana-1052	95	7	increases	increase	NOUN
cana-1052	95	8	,	,	PUNCT
cana-1052	95	9	the	the	DET
cana-1052	95	10	steady	steady	ADJ
cana-1052	95	11	state	state	NOUN
cana-1052	95	12	probability	probability	NOUN
cana-1052	95	13	which	which	PRON
cana-1052	95	14	is	be	AUX
cana-1052	95	15	in	in	ADP
cana-1052	95	16	equation	equation	NOUN
cana-1052	95	17	(	(	PUNCT
cana-1052	95	18	18	18	NUM
cana-1052	95	19	)	)	PUNCT
cana-1052	95	20	decreased	decrease	VERB
cana-1052	95	21	which	which	PRON
cana-1052	95	22	is	be	AUX
cana-1052	95	23	shown	show	VERB
cana-1052	95	24	in	in	ADP
cana-1052	95	25	figure	figure	NOUN
cana-1052	95	26	2	2	NUM
cana-1052	95	27	,	,	PUNCT
cana-1052	95	28	for	for	ADP
cana-1052	95	29	the	the	DET
cana-1052	95	30	fixed	fix	VERB
cana-1052	95	31	values	value	NOUN
cana-1052	95	32	of	of	ADP
cana-1052	95	33	µ	µ	NOUN
cana-1052	95	34	=	=	SYM
cana-1052	95	35	0.51	0.51	NUM
cana-1052	95	36	and	and	CCONJ
cana-1052	95	37	γ	γ	X
cana-1052	95	38	=	=	SYM
cana-1052	95	39	0.7	0.7	NUM
cana-1052	95	40	,	,	PUNCT
cana-1052	95	41	by	by	ADP
cana-1052	95	42	varying	vary	VERB
cana-1052	95	43	the	the	DET
cana-1052	95	44	values	value	NOUN
cana-1052	95	45	of	of	ADP
cana-1052	95	46	λ	λ	PROPN
cana-1052	95	47	from	from	ADP
cana-1052	95	48	0.1	0.1	NUM
cana-1052	95	49	to	to	ADP
cana-1052	95	50	0.5	0.5	NUM
cana-1052	95	51	with	with	ADP
cana-1052	95	52	different	different	ADJ
cana-1052	95	53	values	value	NOUN
cana-1052	95	54	of	of	ADP
cana-1052	95	55	α	α	NOUN
cana-1052	95	56	=	=	SYM
cana-1052	95	57	0.5	0.5	NUM
cana-1052	95	58	,	,	PUNCT
cana-1052	95	59	0.6	0.6	NUM
cana-1052	95	60	,	,	PUNCT
cana-1052	95	61	0.7	0.7	NUM
cana-1052	95	62	.	.	PUNCT
cana-1052	96	1	as	as	SCONJ
cana-1052	96	2	aforesaid	aforesaid	NOUN
cana-1052	96	3	,	,	PUNCT
cana-1052	96	4	in	in	ADP
cana-1052	96	5	figure	figure	NOUN
cana-1052	96	6	3	3	NUM
cana-1052	96	7	,	,	PUNCT
cana-1052	96	8	the	the	DET
cana-1052	96	9	nature	nature	NOUN
cana-1052	96	10	of	of	ADP
cana-1052	96	11	decreasing	decrease	VERB
cana-1052	96	12	continues	continue	VERB
cana-1052	96	13	in	in	ADP
cana-1052	96	14	the	the	DET
cana-1052	96	15	steady	steady	ADJ
cana-1052	96	16	state	state	NOUN
cana-1052	96	17	probability	probability	NOUN
cana-1052	96	18	for	for	ADP
cana-1052	96	19	the	the	DET
cana-1052	96	20	fixed	fix	VERB
cana-1052	96	21	values	value	NOUN
cana-1052	96	22	of	of	ADP
cana-1052	96	23	µ	µ	NOUN
cana-1052	96	24	=	=	SYM
cana-1052	96	25	0.51	0.51	NUM
cana-1052	96	26	and	and	CCONJ
cana-1052	96	27	α	α	NOUN
cana-1052	96	28	=	=	PUNCT
cana-1052	96	29	0.8	0.8	NUM
cana-1052	96	30	,	,	PUNCT
cana-1052	96	31	by	by	ADP
cana-1052	96	32	varying	vary	VERB
cana-1052	96	33	the	the	DET
cana-1052	96	34	values	value	NOUN
cana-1052	96	35	of	of	ADP
cana-1052	96	36	λ	λ	PROPN
cana-1052	96	37	from	from	ADP
cana-1052	96	38	0.1	0.1	NUM
cana-1052	96	39	to	to	ADP
cana-1052	96	40	0.5	0.5	NUM
cana-1052	96	41	with	with	ADP
cana-1052	96	42	different	different	ADJ
cana-1052	96	43	values	value	NOUN
cana-1052	96	44	of	of	ADP
cana-1052	96	45	γ	γ	X
cana-1052	96	46	=	=	SYM
cana-1052	96	47	0.6	0.6	NUM
cana-1052	96	48	,	,	PUNCT
cana-1052	96	49	0.7	0.7	NUM
cana-1052	96	50	,	,	PUNCT
cana-1052	96	51	0.8	0.8	NUM
cana-1052	96	52	.	.	PUNCT
cana-1052	97	1	this	this	DET
cana-1052	97	2	nature	nature	NOUN
cana-1052	97	3	continues	continue	VERB
cana-1052	97	4	in	in	ADP
cana-1052	97	5	figure	figure	NOUN
cana-1052	97	6	4	4	NUM
cana-1052	97	7	,	,	PUNCT
cana-1052	97	8	for	for	ADP
cana-1052	97	9	the	the	DET
cana-1052	97	10	fixed	fix	VERB
cana-1052	97	11	values	value	NOUN
cana-1052	97	12	of	of	ADP
cana-1052	97	13	γ	γ	X
cana-1052	97	14	=	=	SYM
cana-1052	97	15	0.8	0.8	NUM
cana-1052	97	16	and	and	CCONJ
cana-1052	97	17	α	α	NOUN
cana-1052	97	18	=	=	NOUN
cana-1052	97	19	0.9	0.9	NUM
cana-1052	97	20	by	by	ADP
cana-1052	97	21	communications	communication	NOUN
cana-1052	97	22	on	on	ADP
cana-1052	97	23	applied	apply	VERB
cana-1052	97	24	nonlinear	nonlinear	ADJ
cana-1052	97	25	analysis	analysis	NOUN
cana-1052	97	26	issn	issn	NOUN
cana-1052	97	27	:	:	PUNCT
cana-1052	97	28	1074	1074	NUM
cana-1052	97	29	-	-	PUNCT
cana-1052	97	30	133x	133x	NUM
cana-1052	97	31	vol	vol	NOUN
cana-1052	97	32	31	31	NUM
cana-1052	97	33	no	no	NOUN
cana-1052	97	34	.	.	PUNCT
cana-1052	98	1	5s	5s	NUM
cana-1052	98	2	(	(	PUNCT
cana-1052	98	3	2024	2024	NUM
cana-1052	98	4	)	)	PUNCT
cana-1052	98	5	317	317	NUM
cana-1052	98	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1052	99	1	i	i	PRON
cana-1052	99	2	varying	vary	VERB
cana-1052	99	3	the	the	DET
cana-1052	99	4	values	value	NOUN
cana-1052	99	5	of	of	ADP
cana-1052	99	6	λ	λ	PROPN
cana-1052	99	7	from	from	ADP
cana-1052	99	8	0.1	0.1	NUM
cana-1052	99	9	to	to	ADP
cana-1052	99	10	0.5	0.5	NUM
cana-1052	99	11	with	with	ADP
cana-1052	99	12	different	different	ADJ
cana-1052	99	13	values	value	NOUN
cana-1052	99	14	of	of	ADP
cana-1052	99	15	µ	µ	NOUN
cana-1052	99	16	=	=	SYM
cana-1052	99	17	0.51	0.51	NUM
cana-1052	99	18	,	,	PUNCT
cana-1052	99	19	0.6	0.6	NUM
cana-1052	99	20	,	,	PUNCT
cana-1052	99	21	0.7	0.7	NUM
cana-1052	99	22	.	.	NOUN
cana-1052	99	23	4	4	NUM
cana-1052	99	24	.	.	X
cana-1052	99	25	performance	performance	NOUN
cana-1052	99	26	measure	measure	NOUN
cana-1052	99	27	expected	expect	VERB
cana-1052	99	28	number	number	NOUN
cana-1052	99	29	of	of	ADP
cana-1052	99	30	customers	customer	NOUN
cana-1052	99	31	in	in	ADP
cana-1052	99	32	the	the	DET
cana-1052	99	33	system	system	NOUN
cana-1052	99	34	𝐸(𝐿	𝐸(𝐿	NOUN
cana-1052	99	35	)	)	PUNCT
cana-1052	100	1	=	=	SYM
cana-1052	100	2	𝑝0,0	𝑝0,0	NOUN
cana-1052	100	3	{	{	PUNCT
cana-1052	100	4	∑	∑	PROPN
cana-1052	100	5	𝑖(𝑖	𝑖(𝑖	PROPN
cana-1052	100	6	+	+	CCONJ
cana-1052	101	1	1)𝜆𝑖	1)𝜆𝑖	PROPN
cana-1052	101	2	∏	∏	NOUN
cana-1052	101	3	(	(	PUNCT
cana-1052	101	4	𝜆	𝜆	PROPN
cana-1052	101	5	+	+	X
cana-1052	101	6	(	(	PUNCT
cana-1052	101	7	𝑗	𝑗	PROPN
cana-1052	101	8	+	+	NUM
cana-1052	101	9	1)𝛾)𝑖	1)𝛾)𝑖	NUM
cana-1052	101	10	𝑗=1	𝑗=1	NOUN
cana-1052	101	11	+	+	CCONJ
cana-1052	101	12	𝑁𝜆𝑁	𝑁𝜆𝑁	PROPN
cana-1052	101	13	𝛾	𝛾	ADP
cana-1052	101	14	∏	∏	NUM
cana-1052	101	15	(	(	PUNCT
cana-1052	101	16	𝜆	𝜆	PROPN
cana-1052	101	17	+	+	CCONJ
cana-1052	101	18	𝑖𝛾)𝑁	𝑖𝛾)𝑁	X
cana-1052	101	19	𝑖=2	𝑖=2	PUNCT
cana-1052	101	20	𝑁	𝑁	PROPN
cana-1052	101	21	𝑖=1	𝑖=1	PROPN
cana-1052	102	1	+	+	CCONJ
cana-1052	102	2	𝜌	𝜌	X
cana-1052	102	3	(	(	PUNCT
cana-1052	102	4	𝜆	𝜆	PROPN
cana-1052	102	5	+	+	NOUN
cana-1052	102	6	𝛾	𝛾	X
cana-1052	102	7	+	+	NUM
cana-1052	102	8	𝛼	𝛼	NUM
cana-1052	102	9	𝛼	𝛼	NOUN
cana-1052	102	10	)	)	PUNCT
cana-1052	103	1	+	+	CCONJ
cana-1052	103	2	∑	∑	PUNCT
cana-1052	104	1	[	[	X
cana-1052	104	2	𝑗𝜌𝑗	𝑗𝜌𝑗	INTJ
cana-1052	104	3	(	(	PUNCT
cana-1052	104	4	𝜆	𝜆	PROPN
cana-1052	104	5	+	+	CCONJ
cana-1052	104	6	𝛾	𝛾	X
cana-1052	104	7	+	+	NUM
cana-1052	104	8	𝛼	𝛼	NUM
cana-1052	104	9	𝛼	𝛼	NOUN
cana-1052	104	10	)	)	PUNCT
cana-1052	104	11	+	+	CCONJ
cana-1052	104	12	𝜆	𝜆	PRON
cana-1052	104	13	𝜆	𝜆	NOUN
cana-1052	104	14	+	+	X
cana-1052	104	15	2𝛾	2𝛾	NOUN
cana-1052	104	16	(	(	PUNCT
cana-1052	104	17	𝜌𝑗−2	𝜌𝑗−2	NOUN
cana-1052	104	18	+	+	CCONJ
cana-1052	104	19	∑	∑	PROPN
cana-1052	104	20	𝜆𝑘−2𝜌𝑗−𝑘	𝜆𝑘−2𝜌𝑗−𝑘	X
cana-1052	104	21	∏	∏	X
cana-1052	104	22	(	(	PUNCT
cana-1052	104	23	𝜆	𝜆	PROPN
cana-1052	104	24	+	+	CCONJ
cana-1052	104	25	𝑙𝛾)𝑘	𝑙𝛾)𝑘	PROPN
cana-1052	104	26	𝑙=1	𝑙=1	ADP
cana-1052	104	27	𝑗	𝑗	X
cana-1052	104	28	𝑘=3	𝑘=3	X
cana-1052	104	29	)	)	PUNCT
cana-1052	104	30	]	]	PUNCT
cana-1052	105	1	𝑁	𝑁	PROPN
cana-1052	105	2	𝑗=2	𝑗=2	X
cana-1052	105	3	}	}	PUNCT
cana-1052	105	4	where	where	SCONJ
cana-1052	105	5	p0,0	p0,0	NOUN
cana-1052	105	6	is	be	AUX
cana-1052	105	7	already	already	ADV
cana-1052	105	8	in	in	ADP
cana-1052	105	9	(	(	PUNCT
cana-1052	105	10	17	17	NUM
cana-1052	105	11	)	)	PUNCT
cana-1052	105	12	and	and	CCONJ
cana-1052	105	13	the	the	DET
cana-1052	105	14	expected	expect	VERB
cana-1052	105	15	waiting	waiting	NOUN
cana-1052	105	16	time	time	NOUN
cana-1052	105	17	is	be	AUX
cana-1052	105	18	𝐸(𝑊	𝐸(𝑊	X
cana-1052	105	19	)	)	PUNCT
cana-1052	105	20	=	=	SYM
cana-1052	105	21	𝐸(𝐿	𝐸(𝐿	NOUN
cana-1052	105	22	)	)	PUNCT
cana-1052	106	1	𝜆	𝜆	ADP
cana-1052	106	2	the	the	DET
cana-1052	106	3	graph	graph	NOUN
cana-1052	106	4	for	for	ADP
cana-1052	106	5	the	the	DET
cana-1052	106	6	probability	probability	NOUN
cana-1052	106	7	p1,0	p1,0	PROPN
cana-1052	106	8	against	against	ADP
cana-1052	106	9	λ	λ	PROPN
cana-1052	106	10	,	,	PUNCT
cana-1052	106	11	e(l	e(l	PROPN
cana-1052	106	12	)	)	PUNCT
cana-1052	106	13	and	and	CCONJ
cana-1052	106	14	e(w	e(w	ADJ
cana-1052	106	15	)	)	PUNCT
cana-1052	106	16	for	for	ADP
cana-1052	106	17	distinct	distinct	ADJ
cana-1052	106	18	parame	parame	ADJ
cana-1052	106	19	ters	ter	NOUN
cana-1052	106	20	are	be	AUX
cana-1052	106	21	as	as	SCONJ
cana-1052	106	22	follows	follow	VERB
cana-1052	106	23	.	.	PUNCT
cana-1052	107	1	figure	figure	VERB
cana-1052	107	2	5	5	NUM
cana-1052	107	3	:	:	PUNCT
cana-1052	107	4	e(l	e(l	PROPN
cana-1052	107	5	)	)	PUNCT
cana-1052	107	6	against	against	ADP
cana-1052	107	7	λ	λ	NOUN
cana-1052	107	8	figure	figure	NOUN
cana-1052	107	9	6	6	NUM
cana-1052	107	10	:	:	PUNCT
cana-1052	107	11	e(l	e(l	PROPN
cana-1052	107	12	)	)	PUNCT
cana-1052	107	13	against	against	ADP
cana-1052	107	14	λ	λ	NOUN
cana-1052	107	15	figure	figure	NOUN
cana-1052	107	16	7	7	NUM
cana-1052	107	17	:	:	PUNCT
cana-1052	107	18	e(l	e(l	PROPN
cana-1052	107	19	)	)	PUNCT
cana-1052	107	20	against	against	ADP
cana-1052	107	21	λ	λ	PROPN
cana-1052	107	22	communications	communication	NOUN
cana-1052	107	23	on	on	ADP
cana-1052	107	24	applied	apply	VERB
cana-1052	107	25	nonlinear	nonlinear	ADJ
cana-1052	107	26	analysis	analysis	NOUN
cana-1052	107	27	issn	issn	NOUN
cana-1052	107	28	:	:	PUNCT
cana-1052	107	29	1074	1074	NUM
cana-1052	107	30	-	-	PUNCT
cana-1052	107	31	133x	133x	NUM
cana-1052	107	32	vol	vol	NOUN
cana-1052	107	33	31	31	NUM
cana-1052	107	34	no	no	NOUN
cana-1052	107	35	.	.	PUNCT
cana-1052	108	1	5s	5s	NUM
cana-1052	108	2	(	(	PUNCT
cana-1052	108	3	2024	2024	NUM
cana-1052	108	4	)	)	PUNCT
cana-1052	108	5	318	318	NUM
cana-1052	108	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1052	108	7	as	as	SCONJ
cana-1052	108	8	the	the	DET
cana-1052	108	9	arrival	arrival	NOUN
cana-1052	108	10	rate	rate	NOUN
cana-1052	108	11	λ	λ	NOUN
cana-1052	108	12	increases	increase	VERB
cana-1052	108	13	then	then	ADV
cana-1052	108	14	the	the	DET
cana-1052	108	15	number	number	NOUN
cana-1052	108	16	of	of	ADP
cana-1052	108	17	customers	customer	NOUN
cana-1052	108	18	in	in	ADP
cana-1052	108	19	the	the	DET
cana-1052	108	20	line	line	NOUN
cana-1052	108	21	is	be	AUX
cana-1052	108	22	also	also	ADV
cana-1052	108	23	increased	increase	VERB
cana-1052	108	24	during	during	ADP
cana-1052	108	25	the	the	DET
cana-1052	108	26	vacation	vacation	NOUN
cana-1052	108	27	period	period	NOUN
cana-1052	108	28	.	.	PUNCT
cana-1052	109	1	in	in	ADP
cana-1052	109	2	figure	figure	NOUN
cana-1052	109	3	5	5	NUM
cana-1052	109	4	,	,	PUNCT
cana-1052	109	5	for	for	ADP
cana-1052	109	6	the	the	DET
cana-1052	109	7	fixed	fix	VERB
cana-1052	109	8	values	value	NOUN
cana-1052	109	9	of	of	ADP
cana-1052	109	10	µ	µ	NOUN
cana-1052	109	11	=	=	SYM
cana-1052	109	12	0.7	0.7	NUM
cana-1052	109	13	and	and	CCONJ
cana-1052	109	14	γ	γ	X
cana-1052	109	15	=	=	SYM
cana-1052	109	16	0.6	0.6	NUM
cana-1052	109	17	,	,	PUNCT
cana-1052	109	18	by	by	ADP
cana-1052	109	19	varying	vary	VERB
cana-1052	109	20	the	the	DET
cana-1052	109	21	values	value	NOUN
cana-1052	109	22	of	of	ADP
cana-1052	109	23	λ	λ	PROPN
cana-1052	109	24	from	from	ADP
cana-1052	109	25	0.1	0.1	NUM
cana-1052	109	26	to	to	ADP
cana-1052	109	27	0.5	0.5	NUM
cana-1052	109	28	with	with	ADP
cana-1052	109	29	different	different	ADJ
cana-1052	109	30	values	value	NOUN
cana-1052	109	31	of	of	ADP
cana-1052	109	32	α	α	NOUN
cana-1052	109	33	=	=	SYM
cana-1052	109	34	0.5	0.5	NUM
cana-1052	109	35	,	,	PUNCT
cana-1052	109	36	0.6	0.6	NUM
cana-1052	109	37	,	,	PUNCT
cana-1052	109	38	0.7	0.7	NUM
cana-1052	109	39	.	.	PUNCT
cana-1052	110	1	the	the	DET
cana-1052	110	2	value	value	NOUN
cana-1052	110	3	of	of	ADP
cana-1052	110	4	e(l	e(l	PROPN
cana-1052	110	5	)	)	PUNCT
cana-1052	110	6	,	,	PUNCT
cana-1052	110	7	figure	figure	VERB
cana-1052	110	8	6	6	NUM
cana-1052	110	9	increases	increase	NOUN
cana-1052	110	10	for	for	ADP
cana-1052	110	11	the	the	DET
cana-1052	110	12	fixed	fix	VERB
cana-1052	110	13	values	value	NOUN
cana-1052	110	14	of	of	ADP
cana-1052	110	15	µ	µ	NOUN
cana-1052	110	16	=	=	SYM
cana-1052	110	17	0.7	0.7	NUM
cana-1052	110	18	and	and	CCONJ
cana-1052	110	19	α	α	NOUN
cana-1052	110	20	=	=	ADJ
cana-1052	110	21	0.6	0.6	NUM
cana-1052	110	22	,	,	PUNCT
cana-1052	110	23	by	by	ADP
cana-1052	110	24	varying	vary	VERB
cana-1052	110	25	the	the	DET
cana-1052	110	26	values	value	NOUN
cana-1052	110	27	of	of	ADP
cana-1052	110	28	λ	λ	PROPN
cana-1052	110	29	from	from	ADP
cana-1052	110	30	0.1	0.1	NUM
cana-1052	110	31	to	to	ADP
cana-1052	110	32	0.5	0.5	NUM
cana-1052	110	33	with	with	ADP
cana-1052	110	34	different	different	ADJ
cana-1052	110	35	values	value	NOUN
cana-1052	110	36	of	of	ADP
cana-1052	110	37	γ	γ	X
cana-1052	110	38	=	=	SYM
cana-1052	110	39	0.5	0.5	NUM
cana-1052	110	40	,	,	PUNCT
cana-1052	110	41	0.6	0.6	NUM
cana-1052	110	42	,	,	PUNCT
cana-1052	110	43	0.7	0.7	NUM
cana-1052	110	44	.	.	PUNCT
cana-1052	111	1	the	the	DET
cana-1052	111	2	expected	expect	VERB
cana-1052	111	3	number	number	NOUN
cana-1052	111	4	of	of	ADP
cana-1052	111	5	customers	customer	NOUN
cana-1052	111	6	in	in	ADP
cana-1052	111	7	the	the	DET
cana-1052	111	8	line	line	NOUN
cana-1052	111	9	is	be	AUX
cana-1052	111	10	also	also	ADV
cana-1052	111	11	increased	increase	VERB
cana-1052	111	12	during	during	ADP
cana-1052	111	13	the	the	DET
cana-1052	111	14	vacation	vacation	NOUN
cana-1052	111	15	period	period	NOUN
cana-1052	111	16	.	.	PUNCT
cana-1052	112	1	in	in	ADP
cana-1052	112	2	figure	figure	NOUN
cana-1052	112	3	7	7	NUM
cana-1052	112	4	,	,	PUNCT
cana-1052	112	5	for	for	ADP
cana-1052	112	6	the	the	DET
cana-1052	112	7	fixed	fix	VERB
cana-1052	112	8	values	value	NOUN
cana-1052	112	9	of	of	ADP
cana-1052	112	10	α	α	NOUN
cana-1052	112	11	=	=	NOUN
cana-1052	112	12	0.55	0.55	NUM
cana-1052	112	13	and	and	CCONJ
cana-1052	112	14	γ	γ	X
cana-1052	112	15	=	=	SYM
cana-1052	112	16	0.65	0.65	NUM
cana-1052	112	17	,	,	PUNCT
cana-1052	112	18	by	by	ADP
cana-1052	112	19	varying	vary	VERB
cana-1052	112	20	the	the	DET
cana-1052	112	21	values	value	NOUN
cana-1052	112	22	of	of	ADP
cana-1052	112	23	λ	λ	PROPN
cana-1052	112	24	from	from	ADP
cana-1052	112	25	0.1	0.1	NUM
cana-1052	112	26	to	to	ADP
cana-1052	112	27	0.5	0.5	NUM
cana-1052	112	28	with	with	ADP
cana-1052	112	29	different	different	ADJ
cana-1052	112	30	values	value	NOUN
cana-1052	112	31	of	of	ADP
cana-1052	112	32	µ	µ	NOUN
cana-1052	112	33	=	=	SYM
cana-1052	112	34	0.7	0.7	NUM
cana-1052	112	35	,	,	PUNCT
cana-1052	112	36	0.8	0.8	NUM
cana-1052	112	37	,	,	PUNCT
cana-1052	112	38	0.9	0.9	NUM
cana-1052	112	39	.	.	PUNCT
cana-1052	112	40	figure	figure	NOUN
cana-1052	112	41	8	8	NUM
cana-1052	112	42	:	:	PUNCT
cana-1052	112	43	e(w	e(w	ADJ
cana-1052	112	44	)	)	PUNCT
cana-1052	112	45	against	against	ADP
cana-1052	112	46	λ	λ	NOUN
cana-1052	112	47	figure	figure	NOUN
cana-1052	112	48	9	9	NUM
cana-1052	112	49	:	:	PUNCT
cana-1052	112	50	e(w	e(w	ADJ
cana-1052	112	51	)	)	PUNCT
cana-1052	112	52	against	against	ADP
cana-1052	112	53	λ	λ	NOUN
cana-1052	112	54	figure	figure	NOUN
cana-1052	112	55	10	10	NUM
cana-1052	112	56	:	:	PUNCT
cana-1052	112	57	e(w	e(w	ADJ
cana-1052	112	58	)	)	PUNCT
cana-1052	112	59	against	against	ADP
cana-1052	112	60	λ	λ	PROPN
cana-1052	112	61	as	as	SCONJ
cana-1052	112	62	the	the	DET
cana-1052	112	63	arrival	arrival	NOUN
cana-1052	112	64	rate	rate	NOUN
cana-1052	112	65	λ	λ	NOUN
cana-1052	112	66	increases	increase	VERB
cana-1052	112	67	then	then	ADV
cana-1052	112	68	the	the	DET
cana-1052	112	69	number	number	NOUN
cana-1052	112	70	of	of	ADP
cana-1052	112	71	waiting	wait	VERB
cana-1052	112	72	customers	customer	NOUN
cana-1052	112	73	in	in	ADP
cana-1052	112	74	the	the	DET
cana-1052	112	75	waiting	waiting	NOUN
cana-1052	112	76	line	line	NOUN
cana-1052	112	77	is	be	AUX
cana-1052	112	78	also	also	ADV
cana-1052	112	79	increased	increase	VERB
cana-1052	112	80	during	during	ADP
cana-1052	112	81	the	the	DET
cana-1052	112	82	vacation	vacation	NOUN
cana-1052	112	83	period	period	NOUN
cana-1052	112	84	.	.	PUNCT
cana-1052	113	1	in	in	ADP
cana-1052	113	2	figure	figure	NOUN
cana-1052	113	3	8	8	NUM
cana-1052	113	4	,	,	PUNCT
cana-1052	113	5	for	for	ADP
cana-1052	113	6	the	the	DET
cana-1052	113	7	fixed	fix	VERB
cana-1052	113	8	values	value	NOUN
cana-1052	113	9	of	of	ADP
cana-1052	113	10	µ	µ	NOUN
cana-1052	113	11	=	=	SYM
cana-1052	113	12	0.6	0.6	NUM
cana-1052	113	13	and	and	CCONJ
cana-1052	113	14	γ	γ	X
cana-1052	113	15	=	=	SYM
cana-1052	113	16	0.7	0.7	NUM
cana-1052	113	17	,	,	PUNCT
cana-1052	113	18	by	by	ADP
cana-1052	113	19	varying	vary	VERB
cana-1052	113	20	the	the	DET
cana-1052	113	21	values	value	NOUN
cana-1052	113	22	of	of	ADP
cana-1052	113	23	λ	λ	PROPN
cana-1052	113	24	from	from	ADP
cana-1052	113	25	0.1	0.1	NUM
cana-1052	113	26	to	to	ADP
cana-1052	113	27	0.5	0.5	NUM
cana-1052	113	28	with	with	ADP
cana-1052	113	29	different	different	ADJ
cana-1052	113	30	values	value	NOUN
cana-1052	113	31	of	of	ADP
cana-1052	113	32	α	α	NOUN
cana-1052	113	33	=	=	SYM
cana-1052	113	34	0.5	0.5	NUM
cana-1052	113	35	,	,	PUNCT
cana-1052	113	36	0.6	0.6	NUM
cana-1052	113	37	,	,	PUNCT
cana-1052	113	38	0.7	0.7	NUM
cana-1052	113	39	.	.	PUNCT
cana-1052	114	1	the	the	DET
cana-1052	114	2	value	value	NOUN
cana-1052	114	3	of	of	ADP
cana-1052	114	4	e(w	e(w	PROPN
cana-1052	114	5	)	)	PUNCT
cana-1052	114	6	in	in	ADP
cana-1052	114	7	figure	figure	NOUN
cana-1052	114	8	9	9	NUM
cana-1052	114	9	increases	increase	NOUN
cana-1052	114	10	,	,	PUNCT
cana-1052	114	11	for	for	ADP
cana-1052	114	12	the	the	DET
cana-1052	114	13	fixed	fix	VERB
cana-1052	114	14	values	value	NOUN
cana-1052	114	15	of	of	ADP
cana-1052	114	16	µ	µ	NOUN
cana-1052	114	17	=	=	SYM
cana-1052	114	18	0.6	0.6	NUM
cana-1052	114	19	and	and	CCONJ
cana-1052	114	20	α	α	NOUN
cana-1052	114	21	=	=	NOUN
cana-1052	114	22	0.7	0.7	NUM
cana-1052	114	23	,	,	PUNCT
cana-1052	114	24	by	by	ADP
cana-1052	114	25	varying	vary	VERB
cana-1052	114	26	the	the	DET
cana-1052	114	27	values	value	NOUN
cana-1052	114	28	of	of	ADP
cana-1052	114	29	λ	λ	PROPN
cana-1052	114	30	from	from	ADP
cana-1052	114	31	communications	communication	NOUN
cana-1052	114	32	on	on	ADP
cana-1052	114	33	applied	apply	VERB
cana-1052	114	34	nonlinear	nonlinear	ADJ
cana-1052	114	35	analysis	analysis	NOUN
cana-1052	114	36	issn	issn	NOUN
cana-1052	114	37	:	:	PUNCT
cana-1052	114	38	1074	1074	NUM
cana-1052	114	39	-	-	PUNCT
cana-1052	114	40	133x	133x	NUM
cana-1052	114	41	vol	vol	NOUN
cana-1052	114	42	31	31	NUM
cana-1052	114	43	no	no	NOUN
cana-1052	114	44	.	.	PUNCT
cana-1052	115	1	5s	5s	NUM
cana-1052	115	2	(	(	PUNCT
cana-1052	115	3	2024	2024	NUM
cana-1052	115	4	)	)	PUNCT
cana-1052	115	5	319	319	NUM
cana-1052	115	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1052	115	7	0.1	0.1	NUM
cana-1052	115	8	to	to	ADP
cana-1052	115	9	0.5	0.5	NUM
cana-1052	115	10	with	with	ADP
cana-1052	115	11	different	different	ADJ
cana-1052	115	12	values	value	NOUN
cana-1052	115	13	of	of	ADP
cana-1052	115	14	γ	γ	X
cana-1052	115	15	=	=	SYM
cana-1052	115	16	0.55	0.55	NUM
cana-1052	115	17	,	,	PUNCT
cana-1052	115	18	0.65	0.65	NUM
cana-1052	115	19	,	,	PUNCT
cana-1052	115	20	0.8	0.8	NUM
cana-1052	115	21	.	.	PUNCT
cana-1052	116	1	the	the	DET
cana-1052	116	2	expected	expect	VERB
cana-1052	116	3	number	number	NOUN
cana-1052	116	4	of	of	ADP
cana-1052	116	5	waiting	wait	VERB
cana-1052	116	6	customers	customer	NOUN
cana-1052	116	7	in	in	ADP
cana-1052	116	8	the	the	DET
cana-1052	116	9	waiting	wait	VERB
cana-1052	116	10	queue	queue	NOUN
cana-1052	116	11	is	be	AUX
cana-1052	116	12	also	also	ADV
cana-1052	116	13	increased	increase	VERB
cana-1052	116	14	during	during	ADP
cana-1052	116	15	the	the	DET
cana-1052	116	16	vacation	vacation	NOUN
cana-1052	116	17	period	period	NOUN
cana-1052	116	18	.	.	PUNCT
cana-1052	117	1	in	in	ADP
cana-1052	117	2	figure	figure	NOUN
cana-1052	117	3	10	10	NUM
cana-1052	117	4	,	,	PUNCT
cana-1052	117	5	for	for	ADP
cana-1052	117	6	the	the	DET
cana-1052	117	7	fixed	fix	VERB
cana-1052	117	8	values	value	NOUN
cana-1052	117	9	of	of	ADP
cana-1052	117	10	α	α	NOUN
cana-1052	117	11	=	=	SYM
cana-1052	117	12	0.6	0.6	NUM
cana-1052	117	13	and	and	CCONJ
cana-1052	117	14	γ	γ	X
cana-1052	117	15	=	=	SYM
cana-1052	117	16	0.5	0.5	NUM
cana-1052	117	17	,	,	PUNCT
cana-1052	117	18	by	by	ADP
cana-1052	117	19	varying	vary	VERB
cana-1052	117	20	the	the	DET
cana-1052	117	21	values	value	NOUN
cana-1052	117	22	of	of	ADP
cana-1052	117	23	λ	λ	PROPN
cana-1052	117	24	from	from	ADP
cana-1052	117	25	0.1	0.1	NUM
cana-1052	117	26	to	to	ADP
cana-1052	117	27	0.5	0.5	NUM
cana-1052	117	28	with	with	ADP
cana-1052	117	29	different	different	ADJ
cana-1052	117	30	values	value	NOUN
cana-1052	117	31	of	of	ADP
cana-1052	117	32	µ	µ	NOUN
cana-1052	117	33	=	=	SYM
cana-1052	117	34	0.7	0.7	NUM
cana-1052	117	35	,	,	PUNCT
cana-1052	117	36	0.8	0.8	NUM
cana-1052	117	37	,	,	PUNCT
cana-1052	117	38	0.9	0.9	NUM
cana-1052	117	39	.	.	PUNCT
cana-1052	117	40	5	5	NUM
cana-1052	117	41	.	.	X
cana-1052	117	42	reliability	reliability	NOUN
cana-1052	117	43	measures	measure	NOUN
cana-1052	117	44	because	because	SCONJ
cana-1052	117	45	of	of	ADP
cana-1052	117	46	the	the	DET
cana-1052	117	47	importance	importance	NOUN
cana-1052	117	48	of	of	ADP
cana-1052	117	49	dependability	dependability	NOUN
cana-1052	117	50	measures	measure	NOUN
cana-1052	117	51	under	under	ADP
cana-1052	117	52	varied	varied	ADJ
cana-1052	117	53	queueing	queueing	NOUN
cana-1052	117	54	conditions	condition	NOUN
cana-1052	117	55	,	,	PUNCT
cana-1052	117	56	a	a	DET
cana-1052	117	57	few	few	ADJ
cana-1052	117	58	investigations	investigation	NOUN
cana-1052	117	59	are	be	AUX
cana-1052	117	60	dedicated	dedicate	VERB
cana-1052	117	61	to	to	ADP
cana-1052	117	62	queueing	queue	VERB
cana-1052	117	63	hypothesis	hypothesis	NOUN
cana-1052	117	64	writing	writing	NOUN
cana-1052	117	65	.	.	PUNCT
cana-1052	118	1	accessibility	accessibility	NOUN
cana-1052	118	2	is	be	AUX
cana-1052	118	3	defined	define	VERB
cana-1052	118	4	as	as	ADP
cana-1052	118	5	the	the	DET
cana-1052	118	6	likelihood	likelihood	NOUN
cana-1052	118	7	that	that	SCONJ
cana-1052	118	8	the	the	DET
cana-1052	118	9	system	system	NOUN
cana-1052	118	10	will	will	AUX
cana-1052	118	11	function	function	VERB
cana-1052	118	12	properly	properly	ADV
cana-1052	118	13	when	when	SCONJ
cana-1052	118	14	it	it	PRON
cana-1052	118	15	is	be	AUX
cana-1052	118	16	mentioned	mention	VERB
cana-1052	118	17	for	for	ADP
cana-1052	118	18	use	use	NOUN
cana-1052	118	19	.	.	PUNCT
cana-1052	119	1	however	however	ADV
cana-1052	119	2	,	,	PUNCT
cana-1052	119	3	disappointed	disappointed	ADJ
cana-1052	119	4	recurrence	recurrence	NOUN
cana-1052	119	5	of	of	ADP
cana-1052	119	6	the	the	DET
cana-1052	119	7	server	server	NOUN
cana-1052	119	8	is	be	AUX
cana-1052	119	9	a	a	DET
cana-1052	119	10	possibility	possibility	NOUN
cana-1052	119	11	when	when	SCONJ
cana-1052	119	12	the	the	DET
cana-1052	119	13	system	system	NOUN
cana-1052	119	14	is	be	AUX
cana-1052	119	15	on	on	ADP
cana-1052	119	16	vacation	vacation	NOUN
cana-1052	119	17	period	period	NOUN
cana-1052	119	18	.	.	PUNCT
cana-1052	120	1	in	in	ADP
cana-1052	120	2	this	this	DET
cana-1052	120	3	manner	manner	NOUN
cana-1052	120	4	,	,	PUNCT
cana-1052	120	5	we	we	PRON
cana-1052	120	6	obtain	obtain	VERB
cana-1052	120	7	the	the	DET
cana-1052	120	8	two	two	NUM
cana-1052	120	9	key	key	ADJ
cana-1052	120	10	dependability	dependability	NOUN
cana-1052	120	11	measures	measure	NOUN
cana-1052	120	12	•	•	ADP
cana-1052	120	13	the	the	DET
cana-1052	120	14	availability	availability	NOUN
cana-1052	120	15	of	of	ADP
cana-1052	120	16	the	the	DET
cana-1052	120	17	server	server	NOUN
cana-1052	120	18	𝑃1(1	𝑃1(1	ADJ
cana-1052	120	19	)	)	PUNCT
cana-1052	120	20	=	=	SYM
cana-1052	120	21	𝜌𝑝0,0	𝜌𝑝0,0	NOUN
cana-1052	120	22	𝜌	𝜌	X
cana-1052	120	23	−	−	PROPN
cana-1052	120	24	1	1	NUM
cana-1052	121	1	[	[	X
cana-1052	121	2	𝜌𝑁	𝜌𝑁	NOUN
cana-1052	121	3	(	(	PUNCT
cana-1052	121	4	𝜆	𝜆	NOUN
cana-1052	121	5	+	+	NOUN
cana-1052	121	6	𝛾	𝛾	NOUN
cana-1052	121	7	+	+	NUM
cana-1052	121	8	𝛼	𝛼	NUM
cana-1052	121	9	𝛼	𝛼	NOUN
cana-1052	121	10	)	)	PUNCT
cana-1052	122	1	+	+	CCONJ
cana-1052	122	2	𝜆𝜌	𝜆𝜌	PUNCT
cana-1052	122	3	𝜆	𝜆	X
cana-1052	122	4	+	+	X
cana-1052	122	5	2𝛾	2𝛾	NUM
cana-1052	122	6	(	(	PUNCT
cana-1052	122	7	𝜌𝑁−2	𝜌𝑁−2	PROPN
cana-1052	122	8	+	+	CCONJ
cana-1052	122	9	∑	∑	PROPN
cana-1052	122	10	𝜆𝑖−2𝜌𝑁−𝑖	𝜆𝑖−2𝜌𝑁−𝑖	PROPN
cana-1052	122	11	∏	∏	PROPN
cana-1052	122	12	(	(	PUNCT
cana-1052	122	13	𝜆	𝜆	PROPN
cana-1052	122	14	+	+	CCONJ
cana-1052	122	15	𝑗𝛾)𝑖	𝑗𝛾)𝑖	PROPN
cana-1052	122	16	𝑗=3	𝑗=3	PROPN
cana-1052	122	17	)	)	PUNCT
cana-1052	122	18	]	]	PUNCT
cana-1052	123	1	−	−	PROPN
cana-1052	123	2	𝜆	𝜆	PRON
cana-1052	124	1	+	+	CCONJ
cana-1052	124	2	𝛾	𝛾	NOUN
cana-1052	124	3	𝜌𝛼	𝜌𝛼	ADP
cana-1052	124	4	−	−	NOUN
cana-1052	124	5	∑	∑	PUNCT
cana-1052	124	6	𝑁𝜆𝑁−1	𝑁𝜆𝑁−1	ADP
cana-1052	124	7	𝑛	𝑛	DET
cana-1052	124	8	∏	∏	PROPN
cana-1052	124	9	(	(	PUNCT
cana-1052	124	10	𝜆	𝜆	PROPN
cana-1052	124	11	+	+	CCONJ
cana-1052	124	12	𝑖𝛾)𝑁	𝑖𝛾)𝑁	ADJ
cana-1052	124	13	𝑖=2	𝑖=2	PUNCT
cana-1052	124	14	𝑁	𝑁	NOUN
cana-1052	124	15	𝑛=1	𝑛=1	NOUN
cana-1052	124	16	𝑁	𝑁	PROPN
cana-1052	124	17	𝑖=3	𝑖=3	PROPN
cana-1052	124	18	]	]	PUNCT
cana-1052	124	19	•	•	ADP
cana-1052	124	20	the	the	DET
cana-1052	124	21	failure	failure	NOUN
cana-1052	124	22	frequency	frequency	NOUN
cana-1052	124	23	of	of	ADP
cana-1052	124	24	the	the	DET
cana-1052	124	25	server	server	NOUN
cana-1052	124	26	𝑃0(1	𝑃0(1	NOUN
cana-1052	124	27	)	)	PUNCT
cana-1052	124	28	=	=	SYM
cana-1052	125	1	(	(	PUNCT
cana-1052	125	2	𝜆	𝜆	X
cana-1052	125	3	+	+	CCONJ
cana-1052	125	4	𝛾	𝛾	NOUN
cana-1052	125	5	𝛾	𝛾	NOUN
cana-1052	125	6	)	)	PUNCT
cana-1052	125	7	𝑝0,0	𝑝0,0	NOUN
cana-1052	125	8	6	6	NUM
cana-1052	125	9	.	.	PUNCT
cana-1052	126	1	optimization	optimization	NOUN
cana-1052	126	2	analysis	analysis	NOUN
cana-1052	126	3	6.1	6.1	NUM
cana-1052	126	4	total	total	ADJ
cana-1052	126	5	cost	cost	NOUN
cana-1052	126	6	method	method	NOUN
cana-1052	126	7	we	we	PRON
cana-1052	126	8	develop	develop	VERB
cana-1052	126	9	the	the	DET
cana-1052	126	10	cost	cost	NOUN
cana-1052	126	11	model	model	NOUN
cana-1052	126	12	to	to	PART
cana-1052	126	13	enable	enable	VERB
cana-1052	126	14	the	the	DET
cana-1052	126	15	minimum	minimum	ADJ
cana-1052	126	16	cost	cost	NOUN
cana-1052	126	17	over	over	ADP
cana-1052	126	18	the	the	DET
cana-1052	126	19	system	system	NOUN
cana-1052	126	20	.	.	PUNCT
cana-1052	127	1	the	the	DET
cana-1052	127	2	various	various	ADJ
cana-1052	127	3	cost	cost	NOUN
cana-1052	127	4	parameters	parameter	NOUN
cana-1052	127	5	are	be	AUX
cana-1052	127	6	defined	define	VERB
cana-1052	127	7	as	as	ADP
cana-1052	127	8	co1	co1	PROPN
cana-1052	127	9	≡	≡	PROPN
cana-1052	127	10	holding	hold	VERB
cana-1052	127	11	cost	cost	NOUN
cana-1052	127	12	for	for	ADP
cana-1052	127	13	every	every	DET
cana-1052	127	14	customer	customer	NOUN
cana-1052	127	15	present	present	ADJ
cana-1052	127	16	in	in	ADP
cana-1052	127	17	the	the	DET
cana-1052	127	18	system	system	NOUN
cana-1052	127	19	co2	co2	NOUN
cana-1052	127	20	≡	≡	PROPN
cana-1052	127	21	waiting	wait	VERB
cana-1052	127	22	cost	cost	NOUN
cana-1052	127	23	for	for	ADP
cana-1052	127	24	every	every	DET
cana-1052	127	25	customer	customer	NOUN
cana-1052	127	26	waits	wait	VERB
cana-1052	127	27	in	in	ADP
cana-1052	127	28	the	the	DET
cana-1052	127	29	system	system	NOUN
cana-1052	127	30	co3	co3	ADV
cana-1052	127	31	≡	≡	PROPN
cana-1052	127	32	cost	cost	VERB
cana-1052	127	33	for	for	ADP
cana-1052	127	34	the	the	DET
cana-1052	127	35	server	server	NOUN
cana-1052	127	36	in	in	ADP
cana-1052	127	37	the	the	DET
cana-1052	127	38	busy	busy	ADJ
cana-1052	127	39	period	period	NOUN
cana-1052	127	40	co4	co4	PROPN
cana-1052	127	41	≡	≡	PROPN
cana-1052	127	42	cost	cost	NOUN
cana-1052	127	43	for	for	ADP
cana-1052	127	44	the	the	DET
cana-1052	127	45	server	server	NOUN
cana-1052	127	46	in	in	ADP
cana-1052	127	47	the	the	DET
cana-1052	127	48	vacation	vacation	NOUN
cana-1052	127	49	period	period	NOUN
cana-1052	127	50	co5	co5	PROPN
cana-1052	127	51	≡	≡	PROPN
cana-1052	127	52	cost	cost	VERB
cana-1052	127	53	for	for	ADP
cana-1052	127	54	service	service	NOUN
cana-1052	127	55	using	use	VERB
cana-1052	127	56	the	the	DET
cana-1052	127	57	definition	definition	NOUN
cana-1052	127	58	of	of	ADP
cana-1052	127	59	these	these	DET
cana-1052	127	60	cost	cost	NOUN
cana-1052	127	61	elements	element	NOUN
cana-1052	127	62	listed	list	VERB
cana-1052	127	63	above	above	ADV
cana-1052	127	64	,	,	PUNCT
cana-1052	127	65	the	the	DET
cana-1052	127	66	expected	expect	VERB
cana-1052	127	67	cost	cost	NOUN
cana-1052	127	68	function	function	NOUN
cana-1052	127	69	per	per	ADP
cana-1052	127	70	unit	unit	NOUN
cana-1052	127	71	time	time	NOUN
cana-1052	127	72	is	be	AUX
cana-1052	127	73	given	give	VERB
cana-1052	127	74	by	by	ADP
cana-1052	127	75	tc	tc	NUM
cana-1052	127	76	≡	≡	PROPN
cana-1052	127	77	co1e(l	co1e(l	PROPN
cana-1052	127	78	)	)	PUNCT
cana-1052	127	79	+	+	CCONJ
cana-1052	128	1	co2e(w	co2e(w	X
cana-1052	128	2	)	)	PUNCT
cana-1052	129	1	+	+	CCONJ
cana-1052	129	2	co3p0(z	co3p0(z	ADJ
cana-1052	129	3	)	)	PUNCT
cana-1052	130	1	+	+	NUM
cana-1052	130	2	co4p1(z	co4p1(z	NOUN
cana-1052	130	3	)	)	PUNCT
cana-1052	131	1	+	+	CCONJ
cana-1052	131	2	co5µ	co5µ	PROPN
cana-1052	131	3	the	the	DET
cana-1052	131	4	cost	cost	NOUN
cana-1052	131	5	minimization	minimization	NOUN
cana-1052	131	6	problem	problem	NOUN
cana-1052	131	7	can	can	AUX
cana-1052	131	8	be	be	AUX
cana-1052	131	9	formulated	formulate	VERB
cana-1052	131	10	as	as	ADP
cana-1052	131	11	tc	tc	NUM
cana-1052	131	12	(	(	PUNCT
cana-1052	131	13	µ	µ	X
cana-1052	131	14	,	,	PUNCT
cana-1052	131	15	γ	γ	NOUN
cana-1052	131	16	)	)	PUNCT
cana-1052	131	17	=	=	PRON
cana-1052	131	18	minimize	minimize	VERB
cana-1052	131	19	(	(	PUNCT
cana-1052	131	20	µ	µ	NUM
cana-1052	131	21	,	,	PUNCT
cana-1052	131	22	γ	γ	NOUN
cana-1052	131	23	)	)	PUNCT
cana-1052	131	24	subject	subject	NOUN
cana-1052	131	25	to	to	ADP
cana-1052	131	26	µ	µ	PROPN
cana-1052	131	27	>	>	X
cana-1052	131	28	γ	γ	PROPN
cana-1052	131	29	and	and	CCONJ
cana-1052	131	30	ρ	ρ	NOUN
cana-1052	131	31	<	<	X
cana-1052	131	32	1	1	NUM
cana-1052	131	33	communications	communication	NOUN
cana-1052	131	34	on	on	ADP
cana-1052	131	35	applied	apply	VERB
cana-1052	131	36	nonlinear	nonlinear	ADJ
cana-1052	131	37	analysis	analysis	NOUN
cana-1052	131	38	issn	issn	NOUN
cana-1052	131	39	:	:	PUNCT
cana-1052	131	40	1074	1074	NUM
cana-1052	131	41	-	-	PUNCT
cana-1052	131	42	133x	133x	NUM
cana-1052	131	43	vol	vol	NOUN
cana-1052	131	44	31	31	NUM
cana-1052	131	45	no	no	NOUN
cana-1052	131	46	.	.	PUNCT
cana-1052	132	1	5s	5s	NUM
cana-1052	132	2	(	(	PUNCT
cana-1052	132	3	2024	2024	NUM
cana-1052	132	4	)	)	PUNCT
cana-1052	132	5	320	320	NUM
cana-1052	132	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1052	132	7	we	we	PRON
cana-1052	132	8	consider	consider	VERB
cana-1052	132	9	the	the	DET
cana-1052	132	10	following	follow	VERB
cana-1052	132	11	cost	cost	NOUN
cana-1052	132	12	parameters	parameter	NOUN
cana-1052	132	13	as	as	ADP
cana-1052	132	14	co1	co1	PROPN
cana-1052	132	15	=	=	PROPN
cana-1052	132	16	20	20	NUM
cana-1052	132	17	,	,	PUNCT
cana-1052	132	18	co2	co2	NOUN
cana-1052	132	19	=	=	SYM
cana-1052	132	20	45	45	NUM
cana-1052	132	21	,	,	PUNCT
cana-1052	132	22	co3	co3	ADV
cana-1052	132	23	=	=	SYM
cana-1052	132	24	60	60	NUM
cana-1052	132	25	,	,	PUNCT
cana-1052	132	26	co4	co4	NOUN
cana-1052	132	27	=	=	SYM
cana-1052	132	28	80	80	NUM
cana-1052	132	29	,	,	PUNCT
cana-1052	132	30	co5=90	co5=90	PRON
cana-1052	132	31	figure	figure	NOUN
cana-1052	132	32	11	11	NUM
cana-1052	132	33	:	:	PUNCT
cana-1052	132	34	total	total	ADJ
cana-1052	132	35	cost	cost	NOUN
cana-1052	132	36	against	against	ADP
cana-1052	132	37	µ	µ	PRON
cana-1052	132	38	table	table	NOUN
cana-1052	132	39	1	1	NUM
cana-1052	132	40	:	:	PUNCT
cana-1052	132	41	cost	cost	NOUN
cana-1052	132	42	function	function	NOUN
cana-1052	132	43	versus	versus	ADP
cana-1052	132	44	µ	µ	X
cana-1052	132	45	µ	µ	X
cana-1052	132	46	1	1	NUM
cana-1052	132	47	2	2	NUM
cana-1052	132	48	3	3	NUM
cana-1052	132	49	4	4	NUM
cana-1052	132	50	5	5	NUM
cana-1052	132	51	6	6	NUM
cana-1052	132	52	7	7	NUM
cana-1052	132	53	8	8	NUM
cana-1052	132	54	9	9	NUM
cana-1052	132	55	10	10	NUM
cana-1052	132	56	λ	λ	NOUN
cana-1052	132	57	=	=	NOUN
cana-1052	132	58	0.6	0.6	NUM
cana-1052	132	59	650.3	650.3	NUM
cana-1052	132	60	557.1	557.1	NUM
cana-1052	132	61	612.1	612.1	NUM
cana-1052	132	62	687.6	687.6	NUM
cana-1052	132	63	769.8	769.8	NUM
cana-1052	132	64	854.9	854.9	NUM
cana-1052	132	65	941.5	941.5	NUM
cana-1052	132	66	1029.1	1029.1	NUM
cana-1052	132	67	1117.2	1117.2	NUM
cana-1052	132	68	1205.7	1205.7	NUM
cana-1052	132	69	λ	λ	NOUN
cana-1052	132	70	=	=	NOUN
cana-1052	132	71	0.8	0.8	NUM
cana-1052	132	72	835.1	835.1	NUM
cana-1052	132	73	672.5	672.5	NUM
cana-1052	132	74	719.1	719.1	NUM
cana-1052	132	75	792.5	792.5	NUM
cana-1052	132	76	873.9	873.9	NUM
cana-1052	132	77	958.6	958.6	NUM
cana-1052	132	78	1045.1	1045.1	NUM
cana-1052	132	79	1132.5	1132.5	NUM
cana-1052	132	80	1220.6	1220.6	NUM
cana-1052	132	81	1309.1	1309.1	NUM
cana-1052	132	82	λ	λ	NOUN
cana-1052	132	83	=	=	NOUN
cana-1052	132	84	0.9	0.9	NUM
cana-1052	132	85	912.2	912.2	NUM
cana-1052	132	86	760.4	760.4	NUM
cana-1052	132	87	802.1	802.1	NUM
cana-1052	132	88	874.5	874.5	NUM
cana-1052	132	89	955.3	955.3	NUM
cana-1052	132	90	1039.9	1039.9	NUM
cana-1052	132	91	1126.2	1126.2	NUM
cana-1052	132	92	1213.6	1213.6	NUM
cana-1052	132	93	1301.6	1301.6	NUM
cana-1052	132	94	1390.1	1390.1	NUM
cana-1052	132	95	in	in	ADP
cana-1052	132	96	figure	figure	NOUN
cana-1052	132	97	11	11	NUM
cana-1052	132	98	,	,	PUNCT
cana-1052	132	99	for	for	ADP
cana-1052	132	100	the	the	DET
cana-1052	132	101	different	different	ADJ
cana-1052	132	102	arrival	arrival	NOUN
cana-1052	132	103	rate	rate	NOUN
cana-1052	132	104	λ	λ	X
cana-1052	132	105	=	=	NOUN
cana-1052	132	106	0.6	0.6	NUM
cana-1052	132	107	,	,	PUNCT
cana-1052	132	108	0.8	0.8	NUM
cana-1052	132	109	,	,	PUNCT
cana-1052	132	110	0.9	0.9	NUM
cana-1052	132	111	and	and	CCONJ
cana-1052	132	112	for	for	ADP
cana-1052	132	113	the	the	DET
cana-1052	132	114	fixed	fix	VERB
cana-1052	132	115	values	value	NOUN
cana-1052	132	116	of	of	ADP
cana-1052	132	117	γ	γ	X
cana-1052	132	118	=	=	SYM
cana-1052	132	119	0.1	0.1	NUM
cana-1052	132	120	and	and	CCONJ
cana-1052	132	121	α	α	NOUN
cana-1052	132	122	=	=	NOUN
cana-1052	132	123	0.2	0.2	NUM
cana-1052	132	124	,	,	PUNCT
cana-1052	132	125	we	we	PRON
cana-1052	132	126	got	get	VERB
cana-1052	132	127	the	the	DET
cana-1052	132	128	values	value	NOUN
cana-1052	132	129	while	while	SCONJ
cana-1052	132	130	varying	vary	VERB
cana-1052	132	131	µ	µ	NOUN
cana-1052	132	132	from	from	ADP
cana-1052	132	133	1	1	NUM
cana-1052	132	134	to	to	PART
cana-1052	132	135	10	10	NUM
cana-1052	132	136	as	as	SCONJ
cana-1052	132	137	follows	follow	VERB
cana-1052	132	138	the	the	DET
cana-1052	132	139	table	table	NOUN
cana-1052	132	140	.	.	PUNCT
cana-1052	133	1	the	the	DET
cana-1052	133	2	minimum	minimum	ADJ
cana-1052	133	3	values	value	NOUN
cana-1052	133	4	corresponding	correspond	VERB
cana-1052	133	5	to	to	ADP
cana-1052	133	6	the	the	DET
cana-1052	133	7	given	give	VERB
cana-1052	133	8	values	value	NOUN
cana-1052	133	9	of	of	ADP
cana-1052	133	10	𝜆	𝜆	NOUN
cana-1052	133	11	are	be	AUX
cana-1052	133	12	557.1	557.1	NUM
cana-1052	133	13	,	,	PUNCT
cana-1052	133	14	672.5	672.5	NUM
cana-1052	133	15	and	and	CCONJ
cana-1052	133	16	760.4	760.4	NUM
cana-1052	133	17	respectively	respectively	ADV
cana-1052	133	18	.	.	PUNCT
cana-1052	134	1	it	it	PRON
cana-1052	134	2	is	be	AUX
cana-1052	134	3	seen	see	VERB
cana-1052	134	4	that	that	SCONJ
cana-1052	134	5	initially	initially	ADV
cana-1052	134	6	the	the	DET
cana-1052	134	7	total	total	ADJ
cana-1052	134	8	cost	cost	NOUN
cana-1052	134	9	diminishes	diminish	VERB
cana-1052	134	10	and	and	CCONJ
cana-1052	134	11	begins	begin	VERB
cana-1052	134	12	expanding	expand	VERB
cana-1052	134	13	with	with	ADP
cana-1052	134	14	the	the	DET
cana-1052	134	15	ward	ward	NOUN
cana-1052	134	16	of	of	ADP
cana-1052	134	17	µ	µ	NOUN
cana-1052	134	18	for	for	ADP
cana-1052	134	19	fixed	fix	VERB
cana-1052	134	20	estimations	estimation	NOUN
cana-1052	134	21	of	of	ADP
cana-1052	134	22	γ	γ	PROPN
cana-1052	134	23	and	and	CCONJ
cana-1052	134	24	α	α	NOUN
cana-1052	134	25	.	.	PUNCT
cana-1052	135	1	the	the	DET
cana-1052	135	2	raised	raise	VERB
cana-1052	135	3	nature	nature	NOUN
cana-1052	135	4	of	of	ADP
cana-1052	135	5	the	the	DET
cana-1052	135	6	cost	cost	NOUN
cana-1052	135	7	work	work	NOUN
cana-1052	135	8	concerning	concern	VERB
cana-1052	135	9	show	show	VERB
cana-1052	135	10	the	the	DET
cana-1052	135	11	pattern	pattern	NOUN
cana-1052	135	12	for	for	ADP
cana-1052	135	13	the	the	DET
cana-1052	135	14	ideal	ideal	ADJ
cana-1052	135	15	expense	expense	NOUN
cana-1052	135	16	by	by	ADP
cana-1052	135	17	expanding	expand	VERB
cana-1052	135	18	the	the	DET
cana-1052	135	19	typical	typical	ADJ
cana-1052	135	20	assistance	assistance	NOUN
cana-1052	135	21	sace	sace	NOUN
cana-1052	135	22	of	of	ADP
cana-1052	135	23	the	the	DET
cana-1052	135	24	clients	client	NOUN
cana-1052	135	25	.	.	PUNCT
cana-1052	136	1	this	this	PRON
cana-1052	136	2	shows	show	VERB
cana-1052	136	3	the	the	DET
cana-1052	136	4	convex	convex	PROPN
cana-1052	136	5	nature	nature	NOUN
cana-1052	136	6	.	.	PUNCT
cana-1052	137	1	indeed	indeed	ADV
cana-1052	137	2	,	,	PUNCT
cana-1052	137	3	it	it	PRON
cana-1052	137	4	is	be	AUX
cana-1052	137	5	not	not	PART
cana-1052	137	6	possible	possible	ADJ
cana-1052	137	7	to	to	PART
cana-1052	137	8	derive	derive	VERB
cana-1052	137	9	the	the	DET
cana-1052	137	10	analytic	analytic	ADJ
cana-1052	137	11	solutions	solution	NOUN
cana-1052	137	12	for	for	ADP
cana-1052	137	13	the	the	DET
cana-1052	137	14	optimal	optimal	ADJ
cana-1052	137	15	service	service	NOUN
cana-1052	137	16	rates	rate	NOUN
cana-1052	137	17	at	at	ADP
cana-1052	137	18	the	the	DET
cana-1052	137	19	minimum	minimum	ADJ
cana-1052	137	20	expected	expect	VERB
cana-1052	137	21	cost	cost	NOUN
cana-1052	137	22	.	.	PUNCT
cana-1052	138	1	thus	thus	ADV
cana-1052	138	2	,	,	PUNCT
cana-1052	138	3	we	we	PRON
cana-1052	138	4	progress	progress	VERB
cana-1052	138	5	the	the	DET
cana-1052	138	6	approximations	approximation	NOUN
cana-1052	138	7	to	to	PART
cana-1052	138	8	achieve	achieve	VERB
cana-1052	138	9	the	the	DET
cana-1052	138	10	optimal	optimal	ADJ
cana-1052	138	11	service	service	NOUN
cana-1052	138	12	rates	rate	NOUN
cana-1052	138	13	by	by	ADP
cana-1052	138	14	direct	direct	ADJ
cana-1052	138	15	search	search	NOUN
cana-1052	138	16	method	method	NOUN
cana-1052	138	17	6.2	6.2	NUM
cana-1052	138	18	direct	direct	ADJ
cana-1052	138	19	search	search	NOUN
cana-1052	138	20	method	method	NOUN
cana-1052	138	21	we	we	PRON
cana-1052	138	22	assumed	assume	VERB
cana-1052	138	23	the	the	DET
cana-1052	138	24	following	follow	VERB
cana-1052	138	25	cost	cost	NOUN
cana-1052	138	26	parameters	parameter	NOUN
cana-1052	138	27	as	as	ADP
cana-1052	138	28	co6	co6	PROPN
cana-1052	138	29	=	=	SYM
cana-1052	138	30	30	30	NUM
cana-1052	138	31	,	,	PUNCT
cana-1052	138	32	co7	co7	NOUN
cana-1052	138	33	=	=	SYM
cana-1052	138	34	45	45	NUM
cana-1052	138	35	,	,	PUNCT
cana-1052	138	36	co8	co8	NOUN
cana-1052	138	37	=	=	PUNCT
cana-1052	138	38	90	90	NUM
cana-1052	138	39	the	the	DET
cana-1052	138	40	cost	cost	NOUN
cana-1052	138	41	element	element	NOUN
cana-1052	138	42	is	be	AUX
cana-1052	138	43	defined	define	VERB
cana-1052	138	44	as	as	SCONJ
cana-1052	138	45	co6	co6	PROPN
cana-1052	138	46	≡	≡	PROPN
cana-1052	138	47	cost	cost	VERB
cana-1052	138	48	for	for	ADP
cana-1052	138	49	expected	expect	VERB
cana-1052	138	50	number	number	NOUN
cana-1052	138	51	of	of	ADP
cana-1052	138	52	customers	customer	NOUN
cana-1052	138	53	in	in	ADP
cana-1052	138	54	busy	busy	ADJ
cana-1052	138	55	period	period	NOUN
cana-1052	138	56	co7	co7	X
cana-1052	138	57	≡	≡	PROPN
cana-1052	138	58	cost	cost	VERB
cana-1052	138	59	for	for	ADP
cana-1052	138	60	expected	expect	VERB
cana-1052	138	61	number	number	NOUN
cana-1052	138	62	of	of	ADP
cana-1052	138	63	customers	customer	NOUN
cana-1052	138	64	in	in	ADP
cana-1052	138	65	vacation	vacation	NOUN
cana-1052	138	66	period	period	NOUN
cana-1052	138	67	co8	co8	PROPN
cana-1052	138	68	≡	≡	PROPN
cana-1052	138	69	cost	cost	NOUN
cana-1052	138	70	for	for	ADP
cana-1052	138	71	the	the	DET
cana-1052	138	72	server	server	NOUN
cana-1052	138	73	in	in	ADP
cana-1052	138	74	the	the	DET
cana-1052	138	75	busy	busy	ADJ
cana-1052	138	76	period	period	NOUN
cana-1052	138	77	communications	communication	NOUN
cana-1052	138	78	on	on	ADP
cana-1052	138	79	applied	apply	VERB
cana-1052	138	80	nonlinear	nonlinear	ADJ
cana-1052	138	81	analysis	analysis	NOUN
cana-1052	138	82	issn	issn	NOUN
cana-1052	138	83	:	:	PUNCT
cana-1052	138	84	1074	1074	NUM
cana-1052	138	85	-	-	PUNCT
cana-1052	138	86	133x	133x	NUM
cana-1052	138	87	vol	vol	NOUN
cana-1052	138	88	31	31	NUM
cana-1052	138	89	no	no	NOUN
cana-1052	138	90	.	.	PUNCT
cana-1052	139	1	5s	5s	NUM
cana-1052	139	2	(	(	PUNCT
cana-1052	139	3	2024	2024	NUM
cana-1052	139	4	)	)	PUNCT
cana-1052	139	5	321	321	NUM
cana-1052	139	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1052	139	7	the	the	DET
cana-1052	139	8	cost	cost	NOUN
cana-1052	139	9	function	function	NOUN
cana-1052	139	10	tc	tc	NOUN
cana-1052	139	11	is	be	AUX
cana-1052	139	12	defined	define	VERB
cana-1052	139	13	as	as	ADP
cana-1052	139	14	𝑇𝐶	𝑇𝐶	ADJ
cana-1052	139	15	≡	≡	PROPN
cana-1052	139	16	𝐶𝑂6𝑃0	𝐶𝑂6𝑃0	PROPN
cana-1052	139	17	1(𝑍	1(𝑍	PROPN
cana-1052	139	18	)	)	PUNCT
cana-1052	140	1	+	+	CCONJ
cana-1052	141	1	𝐶𝑂7𝑃1	𝐶𝑂7𝑃1	INTJ
cana-1052	141	2	1(𝑍	1(𝑍	NUM
cana-1052	141	3	)	)	PUNCT
cana-1052	142	1	+	+	CCONJ
cana-1052	142	2	𝐶𝑂8µ	𝐶𝑂8µ	AUX
cana-1052	142	3	figure	figure	NOUN
cana-1052	142	4	12	12	NUM
cana-1052	142	5	:	:	PUNCT
cana-1052	142	6	total	total	ADJ
cana-1052	142	7	cost	cost	NOUN
cana-1052	142	8	against	against	ADP
cana-1052	142	9	µ	µ	PRON
cana-1052	142	10	table	table	NOUN
cana-1052	142	11	2	2	NUM
cana-1052	142	12	:	:	PUNCT
cana-1052	142	13	cost	cost	NOUN
cana-1052	142	14	function	function	NOUN
cana-1052	142	15	versus	versus	ADP
cana-1052	142	16	µ	µ	X
cana-1052	142	17	µ	µ	X
cana-1052	142	18	1	1	NUM
cana-1052	142	19	2	2	NUM
cana-1052	142	20	3	3	NUM
cana-1052	142	21	4	4	NUM
cana-1052	142	22	5	5	NUM
cana-1052	142	23	6	6	NUM
cana-1052	142	24	7	7	NUM
cana-1052	142	25	8	8	NUM
cana-1052	142	26	9	9	NUM
cana-1052	142	27	10	10	NUM
cana-1052	142	28	λ	λ	NOUN
cana-1052	142	29	=	=	NOUN
cana-1052	142	30	0.3	0.3	NUM
cana-1052	142	31	833.1	833.1	NUM
cana-1052	142	32	497.4	497.4	NUM
cana-1052	142	33	479.5	479.5	NUM
cana-1052	142	34	520.2	520.2	NUM
cana-1052	142	35	582.1	582.1	NUM
cana-1052	142	36	653.7	653.7	NUM
cana-1052	142	37	730.9	730.9	NUM
cana-1052	142	38	811.5	811.5	NUM
cana-1052	142	39	894.2	894.2	NUM
cana-1052	142	40	978.4	978.4	NUM
cana-1052	142	41	λ	λ	NOUN
cana-1052	142	42	=	=	NOUN
cana-1052	142	43	0.4	0.4	NUM
cana-1052	142	44	1344.6	1344.6	NUM
cana-1052	142	45	668.4	668.4	NUM
cana-1052	142	46	584.6	584.6	NUM
cana-1052	142	47	598.6	598.6	NUM
cana-1052	142	48	645.3	645.3	NUM
cana-1052	142	49	707.3	707.3	NUM
cana-1052	142	50	788.6	788.6	NUM
cana-1052	142	51	854.4	854.4	NUM
cana-1052	142	52	933.6	933.6	NUM
cana-1052	142	53	1015.1	1015.1	NUM
cana-1052	142	54	λ	λ	X
cana-1052	142	55	=	=	SYM
cana-1052	142	56	0.5	0.5	NUM
cana-1052	142	57	2088.4	2088.4	NUM
cana-1052	142	58	885.9	885.9	NUM
cana-1052	142	59	713.8	713.8	NUM
cana-1052	142	60	693.1	693.1	NUM
cana-1052	142	61	722.1	722.1	NUM
cana-1052	142	62	773.3	773.3	NUM
cana-1052	142	63	836.6	836.6	NUM
cana-1052	142	64	907.1	907.1	NUM
cana-1052	142	65	982.1	982.1	NUM
cana-1052	142	66	1060.3	1060.3	NUM
cana-1052	142	67	in	in	ADP
cana-1052	142	68	figure	figure	NOUN
cana-1052	142	69	12	12	NUM
cana-1052	142	70	,	,	PUNCT
cana-1052	142	71	for	for	ADP
cana-1052	142	72	the	the	DET
cana-1052	142	73	different	different	ADJ
cana-1052	142	74	hiatus	hiatus	NOUN
cana-1052	142	75	rate	rate	NOUN
cana-1052	142	76	λ	λ	PROPN
cana-1052	142	77	=	=	NOUN
cana-1052	142	78	0.3	0.3	NUM
cana-1052	142	79	,	,	PUNCT
cana-1052	142	80	0.4	0.4	NUM
cana-1052	142	81	,	,	PUNCT
cana-1052	142	82	0.5	0.5	NUM
cana-1052	142	83	and	and	CCONJ
cana-1052	142	84	for	for	ADP
cana-1052	142	85	the	the	DET
cana-1052	142	86	fixed	fix	VERB
cana-1052	142	87	values	value	NOUN
cana-1052	142	88	of	of	ADP
cana-1052	142	89	α	α	NOUN
cana-1052	142	90	=	=	SYM
cana-1052	142	91	0.1	0.1	NUM
cana-1052	142	92	and	and	CCONJ
cana-1052	142	93	γ	γ	X
cana-1052	142	94	=	=	NOUN
cana-1052	142	95	0.7	0.7	NUM
cana-1052	142	96	we	we	PRON
cana-1052	142	97	got	get	VERB
cana-1052	142	98	the	the	DET
cana-1052	142	99	values	value	NOUN
cana-1052	142	100	while	while	SCONJ
cana-1052	142	101	varying	vary	VERB
cana-1052	142	102	µ	µ	NOUN
cana-1052	142	103	from	from	ADP
cana-1052	142	104	1	1	NUM
cana-1052	142	105	to	to	PART
cana-1052	142	106	10	10	NUM
cana-1052	142	107	as	as	SCONJ
cana-1052	142	108	follows	follow	VERB
cana-1052	142	109	the	the	DET
cana-1052	142	110	table	table	NOUN
cana-1052	142	111	.	.	PUNCT
cana-1052	143	1	the	the	DET
cana-1052	143	2	minimum	minimum	ADJ
cana-1052	143	3	values	value	NOUN
cana-1052	143	4	corresponding	correspond	VERB
cana-1052	143	5	to	to	ADP
cana-1052	143	6	the	the	DET
cana-1052	143	7	given	give	VERB
cana-1052	143	8	values	value	NOUN
cana-1052	143	9	for	for	ADP
cana-1052	143	10	λ	λ	NOUN
cana-1052	143	11	are	be	AUX
cana-1052	143	12	479.5	479.5	NUM
cana-1052	143	13	,	,	PUNCT
cana-1052	143	14	584.6	584.6	NUM
cana-1052	143	15	and	and	CCONJ
cana-1052	143	16	693.1	693.1	NUM
cana-1052	143	17	respectively	respectively	ADV
cana-1052	143	18	.	.	PUNCT
cana-1052	144	1	it	it	PRON
cana-1052	144	2	is	be	AUX
cana-1052	144	3	evident	evident	ADJ
cana-1052	144	4	that	that	SCONJ
cana-1052	144	5	total	total	ADJ
cana-1052	144	6	cost	cost	NOUN
cana-1052	144	7	function	function	NOUN
cana-1052	144	8	decreases	decrease	VERB
cana-1052	144	9	first	first	ADV
cana-1052	144	10	and	and	CCONJ
cana-1052	144	11	then	then	ADV
cana-1052	144	12	increases	increase	VERB
cana-1052	144	13	.	.	PUNCT
cana-1052	145	1	consequently	consequently	ADV
cana-1052	145	2	,	,	PUNCT
cana-1052	145	3	the	the	DET
cana-1052	145	4	convex	convex	NOUN
cana-1052	145	5	nature	nature	NOUN
cana-1052	145	6	arises	arise	VERB
cana-1052	145	7	in	in	ADP
cana-1052	145	8	the	the	DET
cana-1052	145	9	total	total	ADJ
cana-1052	145	10	cost	cost	NOUN
cana-1052	145	11	function	function	NOUN
cana-1052	145	12	.	.	PUNCT
cana-1052	146	1	this	this	PRON
cana-1052	146	2	confirms	confirm	VERB
cana-1052	146	3	the	the	DET
cana-1052	146	4	possibility	possibility	NOUN
cana-1052	146	5	of	of	ADP
cana-1052	146	6	obtaining	obtain	VERB
cana-1052	146	7	the	the	DET
cana-1052	146	8	optimum	optimum	ADJ
cana-1052	146	9	service	service	NOUN
cana-1052	146	10	rates	rate	NOUN
cana-1052	146	11	.	.	PUNCT
cana-1052	147	1	figure	figure	VERB
cana-1052	147	2	13	13	NUM
cana-1052	147	3	:	:	PUNCT
cana-1052	147	4	total	total	ADJ
cana-1052	147	5	cost	cost	NOUN
cana-1052	147	6	against	against	ADP
cana-1052	147	7	µ	µ	PRON
cana-1052	147	8	table	table	NOUN
cana-1052	147	9	3	3	NUM
cana-1052	147	10	:	:	PUNCT
cana-1052	147	11	cost	cost	NOUN
cana-1052	147	12	function	function	NOUN
cana-1052	147	13	versus	versus	ADP
cana-1052	147	14	µ	µ	X
cana-1052	147	15	µ	µ	X
cana-1052	147	16	1	1	NUM
cana-1052	147	17	2	2	NUM
cana-1052	147	18	3	3	NUM
cana-1052	147	19	4	4	NUM
cana-1052	147	20	5	5	NUM
cana-1052	147	21	6	6	NUM
cana-1052	147	22	7	7	NUM
cana-1052	147	23	8	8	NUM
cana-1052	147	24	9	9	NUM
cana-1052	147	25	10	10	NUM
cana-1052	147	26	γ	γ	X
cana-1052	147	27	=	=	SYM
cana-1052	147	28	0.3	0.3	NUM
cana-1052	147	29	1429.4	1429.4	NUM
cana-1052	147	30	677.2	677.2	NUM
cana-1052	147	31	596.1	596.1	NUM
cana-1052	147	32	613.1	613.1	NUM
cana-1052	147	33	663.6	663.6	NUM
cana-1052	147	34	728.3	728.3	NUM
cana-1052	147	35	800.8	800.8	NUM
cana-1052	147	36	878.1	878.1	NUM
cana-1052	147	37	958.2	958.2	NUM
cana-1052	147	38	1040.5	1040.5	NUM
cana-1052	147	39	γ	γ	X
cana-1052	147	40	=	=	SYM
cana-1052	147	41	0.5	0.5	NUM
cana-1052	147	42	1683.5	1683.5	NUM
cana-1052	147	43	752.7	752.7	NUM
cana-1052	147	44	635.5	635.5	NUM
cana-1052	147	45	637.9	637.9	NUM
cana-1052	147	46	679.6	679.6	NUM
cana-1052	147	47	739.1	739.1	NUM
cana-1052	147	48	807.9	807.9	NUM
cana-1052	147	49	882.4	882.4	NUM
cana-1052	147	50	960.6	960.6	NUM
cana-1052	147	51	1041.3	1041.3	NUM
cana-1052	147	52	γ	γ	X
cana-1052	147	53	=	=	PROPN
cana-1052	147	54	0.7	0.7	NUM
cana-1052	147	55	1951.5	1951.5	NUM
cana-1052	147	56	893.8	893.8	NUM
cana-1052	147	57	686.1	686.1	NUM
cana-1052	147	58	673.1	673.1	NUM
cana-1052	147	59	706.3	706.3	NUM
cana-1052	147	60	760.3	760.3	NUM
cana-1052	147	61	825.4	825.4	NUM
cana-1052	147	62	897.2	897.2	NUM
cana-1052	147	63	973.3	973.3	NUM
cana-1052	147	64	1052.4	1052.4	NUM
cana-1052	147	65	communications	communication	NOUN
cana-1052	147	66	on	on	ADP
cana-1052	147	67	applied	apply	VERB
cana-1052	147	68	nonlinear	nonlinear	ADJ
cana-1052	147	69	analysis	analysis	NOUN
cana-1052	147	70	issn	issn	NOUN
cana-1052	147	71	:	:	PUNCT
cana-1052	147	72	1074	1074	NUM
cana-1052	147	73	-	-	PUNCT
cana-1052	147	74	133x	133x	NUM
cana-1052	147	75	vol	vol	NOUN
cana-1052	147	76	31	31	NUM
cana-1052	147	77	no	no	NOUN
cana-1052	147	78	.	.	PUNCT
cana-1052	148	1	5s	5s	NUM
cana-1052	148	2	(	(	PUNCT
cana-1052	148	3	2024	2024	NUM
cana-1052	148	4	)	)	PUNCT
cana-1052	148	5	322	322	NUM
cana-1052	148	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1052	148	7	in	in	ADP
cana-1052	148	8	figure	figure	NOUN
cana-1052	148	9	13	13	NUM
cana-1052	148	10	,	,	PUNCT
cana-1052	148	11	for	for	ADP
cana-1052	148	12	the	the	DET
cana-1052	148	13	values	value	NOUN
cana-1052	148	14	of	of	ADP
cana-1052	148	15	γ	γ	X
cana-1052	148	16	=	=	SYM
cana-1052	148	17	0.3	0.3	NUM
cana-1052	148	18	,	,	PUNCT
cana-1052	148	19	0.5	0.5	NUM
cana-1052	148	20	,	,	PUNCT
cana-1052	148	21	0.7	0.7	NUM
cana-1052	148	22	and	and	CCONJ
cana-1052	148	23	for	for	ADP
cana-1052	148	24	the	the	DET
cana-1052	148	25	fixed	fix	VERB
cana-1052	148	26	values	value	NOUN
cana-1052	148	27	of	of	ADP
cana-1052	148	28	λ	λ	PROPN
cana-1052	148	29	=	=	SYM
cana-1052	148	30	0.5	0.5	NUM
cana-1052	148	31	and	and	CCONJ
cana-1052	148	32	α	α	NOUN
cana-1052	148	33	=	=	SYM
cana-1052	148	34	0.1	0.1	NUM
cana-1052	148	35	we	we	PRON
cana-1052	148	36	got	get	VERB
cana-1052	148	37	the	the	DET
cana-1052	148	38	values	value	NOUN
cana-1052	148	39	while	while	SCONJ
cana-1052	148	40	varying	vary	VERB
cana-1052	148	41	µ	µ	NOUN
cana-1052	148	42	from	from	ADP
cana-1052	148	43	1	1	NUM
cana-1052	148	44	to	to	PART
cana-1052	148	45	10	10	NUM
cana-1052	148	46	as	as	SCONJ
cana-1052	148	47	follows	follow	VERB
cana-1052	148	48	the	the	DET
cana-1052	148	49	table	table	NOUN
cana-1052	148	50	.	.	PUNCT
cana-1052	149	1	the	the	DET
cana-1052	149	2	minimum	minimum	ADJ
cana-1052	149	3	values	value	NOUN
cana-1052	149	4	corresponding	correspond	VERB
cana-1052	149	5	to	to	ADP
cana-1052	149	6	the	the	DET
cana-1052	149	7	given	give	VERB
cana-1052	149	8	values	value	NOUN
cana-1052	149	9	for	for	ADP
cana-1052	149	10	γ	γ	NOUN
cana-1052	149	11	are	be	AUX
cana-1052	149	12	596.1	596.1	NUM
cana-1052	149	13	,	,	PUNCT
cana-1052	149	14	635.5	635.5	NUM
cana-1052	149	15	and	and	CCONJ
cana-1052	149	16	673.1	673.1	NUM
cana-1052	149	17	respectively	respectively	ADV
cana-1052	149	18	.	.	PUNCT
cana-1052	150	1	the	the	DET
cana-1052	150	2	figure	figure	NOUN
cana-1052	150	3	shows	show	VERB
cana-1052	150	4	the	the	DET
cana-1052	150	5	convexity	convexity	NOUN
cana-1052	150	6	in	in	ADP
cana-1052	150	7	the	the	DET
cana-1052	150	8	total	total	ADJ
cana-1052	150	9	cost	cost	NOUN
cana-1052	150	10	function	function	NOUN
cana-1052	150	11	.	.	PUNCT
cana-1052	151	1	the	the	DET
cana-1052	151	2	convex	convex	PROPN
cana-1052	151	3	nature	nature	NOUN
cana-1052	151	4	of	of	ADP
cana-1052	151	5	the	the	DET
cana-1052	151	6	cost	cost	NOUN
cana-1052	151	7	function	function	NOUN
cana-1052	151	8	with	with	ADP
cana-1052	151	9	respect	respect	NOUN
cana-1052	151	10	to	to	ADP
cana-1052	151	11	µ	µ	PROPN
cana-1052	151	12	shows	show	VERB
cana-1052	151	13	the	the	DET
cana-1052	151	14	trend	trend	NOUN
cana-1052	151	15	for	for	ADP
cana-1052	151	16	the	the	DET
cana-1052	151	17	optimum	optimum	ADJ
cana-1052	151	18	cost	cost	NOUN
cana-1052	151	19	by	by	ADP
cana-1052	151	20	increasing	increase	VERB
cana-1052	151	21	the	the	DET
cana-1052	151	22	normal	normal	ADJ
cana-1052	151	23	service	service	NOUN
cana-1052	151	24	domain	domain	NOUN
cana-1052	151	25	of	of	ADP
cana-1052	151	26	the	the	DET
cana-1052	151	27	customers	customer	NOUN
cana-1052	151	28	.	.	PUNCT
cana-1052	152	1	figure	figure	VERB
cana-1052	152	2	14	14	NUM
cana-1052	152	3	:	:	PUNCT
cana-1052	152	4	total	total	ADJ
cana-1052	152	5	cost	cost	NOUN
cana-1052	152	6	against	against	ADP
cana-1052	152	7	µ	µ	PRON
cana-1052	152	8	table	table	NOUN
cana-1052	152	9	4	4	NUM
cana-1052	152	10	:	:	PUNCT
cana-1052	152	11	cost	cost	NOUN
cana-1052	152	12	function	function	NOUN
cana-1052	152	13	versus	versus	ADP
cana-1052	152	14	µ	µ	X
cana-1052	152	15	µ	µ	X
cana-1052	152	16	1	1	NUM
cana-1052	152	17	2	2	NUM
cana-1052	152	18	3	3	NUM
cana-1052	152	19	4	4	NUM
cana-1052	152	20	5	5	NUM
cana-1052	152	21	6	6	NUM
cana-1052	152	22	7	7	NUM
cana-1052	152	23	8	8	NUM
cana-1052	152	24	9	9	NUM
cana-1052	152	25	10	10	NUM
cana-1052	152	26	α	α	NOUN
cana-1052	152	27	=	=	NOUN
cana-1052	152	28	0.15	0.15	NUM
cana-1052	152	29	912.5	912.5	NUM
cana-1052	152	30	509.8	509.8	NUM
cana-1052	152	31	487.9	487.9	NUM
cana-1052	152	32	528.8	528.8	NUM
cana-1052	152	33	591.2	591.2	NUM
cana-1052	152	34	663.4	663.4	NUM
cana-1052	152	35	741.1	741.1	NUM
cana-1052	152	36	822.1	822.1	NUM
cana-1052	152	37	905.1	905.1	NUM
cana-1052	152	38	989.5	989.5	NUM
cana-1052	152	39	α	α	NOUN
cana-1052	152	40	=	=	NOUN
cana-1052	152	41	0.21	0.21	NUM
cana-1052	152	42	717.1	717.1	NUM
cana-1052	152	43	437.4	437.4	NUM
cana-1052	152	44	443.5	443.5	NUM
cana-1052	152	45	496.6	496.6	NUM
cana-1052	152	46	565.9	565.9	NUM
cana-1052	152	47	642.6	642.6	NUM
cana-1052	152	48	723.3	723.3	NUM
cana-1052	152	49	806.5	806.5	NUM
cana-1052	152	50	891.3	891.3	NUM
cana-1052	152	51	977.2	977.2	NUM
cana-1052	152	52	α	α	NOUN
cana-1052	152	53	=	=	NOUN
cana-1052	152	54	0.29	0.29	NUM
cana-1052	152	55	581.9	581.9	NUM
cana-1052	152	56	387.2	387.2	NUM
cana-1052	152	57	412.6	412.6	NUM
cana-1052	152	58	474.1	474.1	NUM
cana-1052	152	59	548.2	548.2	NUM
cana-1052	152	60	627.9	627.9	NUM
cana-1052	152	61	710.8	710.8	NUM
cana-1052	152	62	795.5	795.5	NUM
cana-1052	152	63	881.5	881.5	NUM
cana-1052	152	64	968.3	968.3	NUM
cana-1052	152	65	in	in	ADP
cana-1052	152	66	figure	figure	NOUN
cana-1052	152	67	14	14	NUM
cana-1052	152	68	,	,	PUNCT
cana-1052	152	69	for	for	ADP
cana-1052	152	70	the	the	DET
cana-1052	152	71	different	different	ADJ
cana-1052	152	72	hiatus	hiatus	NOUN
cana-1052	152	73	rate	rate	NOUN
cana-1052	152	74	α	α	NOUN
cana-1052	152	75	=	=	SYM
cana-1052	152	76	0.15	0.15	NUM
cana-1052	152	77	,	,	PUNCT
cana-1052	152	78	0.21	0.21	NUM
cana-1052	152	79	,	,	PUNCT
cana-1052	152	80	0.29	0.29	NUM
cana-1052	152	81	and	and	CCONJ
cana-1052	152	82	for	for	ADP
cana-1052	152	83	the	the	DET
cana-1052	152	84	fixed	fix	VERB
cana-1052	152	85	values	value	NOUN
cana-1052	152	86	of	of	ADP
cana-1052	152	87	λ	λ	PROPN
cana-1052	152	88	=	=	SYM
cana-1052	152	89	0.4	0.4	NUM
cana-1052	152	90	and	and	CCONJ
cana-1052	152	91	γ	γ	X
cana-1052	152	92	=	=	NOUN
cana-1052	152	93	0.7	0.7	NUM
cana-1052	152	94	we	we	PRON
cana-1052	152	95	got	get	VERB
cana-1052	152	96	the	the	DET
cana-1052	152	97	values	value	NOUN
cana-1052	152	98	while	while	SCONJ
cana-1052	152	99	varying	vary	VERB
cana-1052	152	100	µ	µ	NOUN
cana-1052	152	101	from	from	ADP
cana-1052	152	102	1	1	NUM
cana-1052	152	103	to	to	PART
cana-1052	152	104	10	10	NUM
cana-1052	152	105	as	as	SCONJ
cana-1052	152	106	follows	follow	VERB
cana-1052	152	107	the	the	DET
cana-1052	152	108	table	table	NOUN
cana-1052	152	109	.	.	PUNCT
cana-1052	153	1	the	the	DET
cana-1052	153	2	minimum	minimum	ADJ
cana-1052	153	3	values	value	NOUN
cana-1052	153	4	corresponding	correspond	VERB
cana-1052	153	5	to	to	ADP
cana-1052	153	6	the	the	DET
cana-1052	153	7	given	give	VERB
cana-1052	153	8	values	value	NOUN
cana-1052	153	9	of	of	ADP
cana-1052	153	10	α	α	PROPN
cana-1052	153	11	are	be	AUX
cana-1052	153	12	487.9	487.9	NUM
cana-1052	153	13	,	,	PUNCT
cana-1052	153	14	437.4	437.4	NUM
cana-1052	153	15	and	and	CCONJ
cana-1052	153	16	387.2	387.2	NUM
cana-1052	153	17	respectively	respectively	ADV
cana-1052	153	18	.	.	PUNCT
cana-1052	154	1	the	the	DET
cana-1052	154	2	figure	figure	NOUN
cana-1052	154	3	shows	show	VERB
cana-1052	154	4	the	the	DET
cana-1052	154	5	convexity	convexity	NOUN
cana-1052	154	6	in	in	ADP
cana-1052	154	7	the	the	DET
cana-1052	154	8	total	total	ADJ
cana-1052	154	9	cost	cost	NOUN
cana-1052	154	10	function	function	NOUN
cana-1052	154	11	.	.	PUNCT
cana-1052	155	1	this	this	PRON
cana-1052	155	2	confirms	confirm	VERB
cana-1052	155	3	the	the	DET
cana-1052	155	4	possibility	possibility	NOUN
cana-1052	155	5	of	of	ADP
cana-1052	155	6	obtaining	obtain	VERB
cana-1052	155	7	the	the	DET
cana-1052	155	8	optimum	optimum	ADJ
cana-1052	155	9	service	service	NOUN
cana-1052	155	10	rate	rate	NOUN
cana-1052	155	11	.	.	PUNCT
cana-1052	156	1	6.3	6.3	NUM
cana-1052	156	2	particular	particular	ADJ
cana-1052	156	3	swarm	swarm	NOUN
cana-1052	156	4	optimization	optimization	NOUN
cana-1052	156	5	particle	particle	NOUN
cana-1052	156	6	swarm	swarm	NOUN
cana-1052	156	7	optimization	optimization	NOUN
cana-1052	156	8	is	be	AUX
cana-1052	156	9	one	one	NUM
cana-1052	156	10	of	of	ADP
cana-1052	156	11	the	the	DET
cana-1052	156	12	most	most	ADV
cana-1052	156	13	popular	popular	ADJ
cana-1052	156	14	nature	nature	NOUN
cana-1052	156	15	-	-	PUNCT
cana-1052	156	16	inspired	inspire	VERB
cana-1052	156	17	metaheuristic	metaheuristic	ADJ
cana-1052	156	18	optimization	optimization	NOUN
cana-1052	156	19	algorithms	algorithm	NOUN
cana-1052	156	20	developed	develop	VERB
cana-1052	156	21	by	by	ADP
cana-1052	156	22	james	james	PROPN
cana-1052	156	23	kennedy	kennedy	PROPN
cana-1052	156	24	and	and	CCONJ
cana-1052	156	25	russell	russell	PROPN
cana-1052	156	26	eberhart	eberhart	PROPN
cana-1052	156	27	in	in	ADP
cana-1052	156	28	1995.particle	1995.particle	NUM
cana-1052	156	29	swarm	swarm	NOUN
cana-1052	156	30	optimization	optimization	NOUN
cana-1052	156	31	(	(	PUNCT
cana-1052	156	32	pso	pso	NOUN
cana-1052	156	33	)	)	PUNCT
cana-1052	156	34	is	be	AUX
cana-1052	156	35	inspired	inspire	VERB
cana-1052	156	36	by	by	ADP
cana-1052	156	37	social	social	ADJ
cana-1052	156	38	and	and	CCONJ
cana-1052	156	39	cooperative	cooperative	ADJ
cana-1052	156	40	behavior	behavior	NOUN
cana-1052	156	41	displayed	display	VERB
cana-1052	156	42	by	by	ADP
cana-1052	156	43	various	various	ADJ
cana-1052	156	44	species	specie	NOUN
cana-1052	156	45	to	to	PART
cana-1052	156	46	fill	fill	VERB
cana-1052	156	47	their	their	PRON
cana-1052	156	48	needs	need	NOUN
cana-1052	156	49	in	in	ADP
cana-1052	156	50	the	the	DET
cana-1052	156	51	search	search	NOUN
cana-1052	156	52	space	space	NOUN
cana-1052	156	53	.	.	PUNCT
cana-1052	157	1	recently	recently	ADV
cana-1052	157	2	,	,	PUNCT
cana-1052	157	3	pso	pso	NOUN
cana-1052	157	4	has	have	AUX
cana-1052	157	5	emerged	emerge	VERB
cana-1052	157	6	as	as	ADP
cana-1052	157	7	a	a	DET
cana-1052	157	8	promising	promising	ADJ
cana-1052	157	9	algorithm	algorithm	NOUN
cana-1052	157	10	in	in	ADP
cana-1052	157	11	solving	solve	VERB
cana-1052	157	12	various	various	ADJ
cana-1052	157	13	optimization	optimization	NOUN
cana-1052	157	14	problems	problem	NOUN
cana-1052	157	15	in	in	ADP
cana-1052	157	16	the	the	DET
cana-1052	157	17	field	field	NOUN
cana-1052	157	18	of	of	ADP
cana-1052	157	19	science	science	NOUN
cana-1052	157	20	and	and	CCONJ
cana-1052	157	21	engineering	engineering	NOUN
cana-1052	157	22	communications	communication	NOUN
cana-1052	157	23	on	on	ADP
cana-1052	157	24	applied	apply	VERB
cana-1052	157	25	nonlinear	nonlinear	ADJ
cana-1052	157	26	analysis	analysis	NOUN
cana-1052	157	27	issn	issn	NOUN
cana-1052	157	28	:	:	PUNCT
cana-1052	157	29	1074	1074	NUM
cana-1052	157	30	-	-	PUNCT
cana-1052	157	31	133x	133x	NUM
cana-1052	157	32	vol	vol	NOUN
cana-1052	157	33	31	31	NUM
cana-1052	157	34	no	no	NOUN
cana-1052	157	35	.	.	PUNCT
cana-1052	158	1	5s	5s	NUM
cana-1052	158	2	(	(	PUNCT
cana-1052	158	3	2024	2024	NUM
cana-1052	158	4	)	)	PUNCT
cana-1052	158	5	323	323	NUM
cana-1052	158	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1052	158	7	figure	figure	NOUN
cana-1052	158	8	15	15	NUM
cana-1052	158	9	:	:	PUNCT
cana-1052	158	10	pso	pso	NOUN
cana-1052	158	11	total	total	NOUN
cana-1052	158	12	cost	cost	NOUN
cana-1052	158	13	against	against	ADP
cana-1052	158	14	iteration	iteration	NOUN
cana-1052	158	15	table	table	NOUN
cana-1052	158	16	5	5	NUM
cana-1052	158	17	:	:	PUNCT
cana-1052	158	18	pso	pso	NOUN
cana-1052	158	19	-	-	PUNCT
cana-1052	158	20	effect	effect	NOUN
cana-1052	158	21	of	of	ADP
cana-1052	158	22	µ∗	µ∗	NOUN
cana-1052	158	23	on	on	ADP
cana-1052	158	24	tc∗	tc∗	PROPN
cana-1052	158	25	,	,	PUNCT
cana-1052	158	26	e(l	e(l	PROPN
cana-1052	158	27	)	)	PUNCT
cana-1052	158	28	,	,	PUNCT
cana-1052	158	29	e(w	e(w	ADJ
cana-1052	158	30	)	)	PUNCT
cana-1052	158	31	for	for	ADP
cana-1052	158	32	different	different	ADJ
cana-1052	158	33	value	value	NOUN
cana-1052	158	34	of	of	ADP
cana-1052	158	35	λ	λ	PROPN
cana-1052	158	36	the	the	DET
cana-1052	158	37	snapshot	snapshot	NOUN
cana-1052	158	38	of	of	ADP
cana-1052	158	39	the	the	DET
cana-1052	158	40	optimized	optimize	VERB
cana-1052	158	41	solution	solution	NOUN
cana-1052	158	42	of	of	ADP
cana-1052	158	43	the	the	DET
cana-1052	158	44	problem	problem	NOUN
cana-1052	158	45	is	be	AUX
cana-1052	158	46	shown	show	VERB
cana-1052	158	47	in	in	ADP
cana-1052	158	48	the	the	DET
cana-1052	158	49	above	above	ADJ
cana-1052	158	50	table	table	NOUN
cana-1052	158	51	.	.	PUNCT
cana-1052	159	1	it	it	PRON
cana-1052	159	2	is	be	AUX
cana-1052	159	3	observed	observe	VERB
cana-1052	159	4	that	that	SCONJ
cana-1052	159	5	the	the	DET
cana-1052	159	6	best	good	ADJ
cana-1052	159	7	value	value	NOUN
cana-1052	159	8	of	of	ADP
cana-1052	159	9	the	the	DET
cana-1052	159	10	objective	objective	ADJ
cana-1052	159	11	function	function	NOUN
cana-1052	159	12	obtained	obtain	VERB
cana-1052	159	13	after	after	ADP
cana-1052	159	14	10	10	NUM
cana-1052	159	15	independent	independent	ADJ
cana-1052	159	16	runs	run	NOUN
cana-1052	159	17	is	be	AUX
cana-1052	159	18	48.1851	48.1851	NUM
cana-1052	159	19	.	.	PUNCT
cana-1052	160	1	this	this	DET
cana-1052	160	2	value	value	NOUN
cana-1052	160	3	is	be	AUX
cana-1052	160	4	obtained	obtain	VERB
cana-1052	160	5	at	at	ADP
cana-1052	160	6	x	x	X
cana-1052	160	7	(	(	PUNCT
cana-1052	160	8	0.4	0.4	NUM
cana-1052	160	9	)	)	PUNCT
cana-1052	160	10	=	=	SYM
cana-1052	160	11	1.4473	1.4473	NUM
cana-1052	160	12	.	.	PUNCT
cana-1052	161	1	out	out	ADP
cana-1052	161	2	of	of	ADP
cana-1052	161	3	the	the	DET
cana-1052	161	4	10	10	NUM
cana-1052	161	5	runs	run	NOUN
cana-1052	161	6	,	,	PUNCT
cana-1052	161	7	10th	10th	ADJ
cana-1052	161	8	run	run	NOUN
cana-1052	161	9	gives	give	VERB
cana-1052	161	10	this	this	DET
cana-1052	161	11	best	good	ADJ
cana-1052	161	12	results	result	NOUN
cana-1052	161	13	.	.	PUNCT
cana-1052	162	1	the	the	DET
cana-1052	162	2	simulation	simulation	NOUN
cana-1052	162	3	total	total	ADJ
cana-1052	162	4	time	time	NOUN
cana-1052	162	5	taken	take	VERB
cana-1052	162	6	is	be	AUX
cana-1052	162	7	329.2360	329.2360	NUM
cana-1052	162	8	seconds	second	NOUN
cana-1052	162	9	.	.	PUNCT
cana-1052	163	1	it	it	PRON
cana-1052	163	2	is	be	AUX
cana-1052	163	3	to	to	PART
cana-1052	163	4	be	be	AUX
cana-1052	163	5	noted	note	VERB
cana-1052	163	6	that	that	SCONJ
cana-1052	163	7	the	the	DET
cana-1052	163	8	simulation	simulation	NOUN
cana-1052	163	9	time	time	NOUN
cana-1052	163	10	depends	depend	VERB
cana-1052	163	11	on	on	ADP
cana-1052	163	12	computer	computer	NOUN
cana-1052	163	13	configuration	configuration	NOUN
cana-1052	163	14	.	.	PUNCT
cana-1052	164	1	further	far	ADV
cana-1052	164	2	,	,	PUNCT
cana-1052	164	3	figure	figure	VERB
cana-1052	164	4	15	15	NUM
cana-1052	164	5	shows	show	VERB
cana-1052	164	6	the	the	DET
cana-1052	164	7	convergence	convergence	NOUN
cana-1052	164	8	characteristic	characteristic	ADJ
cana-1052	164	9	of	of	ADP
cana-1052	164	10	pso	pso	NOUN
cana-1052	164	11	.	.	PUNCT
cana-1052	165	1	7	7	X
cana-1052	165	2	.	.	X
cana-1052	165	3	conclusion	conclusion	NOUN
cana-1052	165	4	as	as	ADP
cana-1052	165	5	the	the	DET
cana-1052	165	6	service	service	NOUN
cana-1052	165	7	rate	rate	NOUN
cana-1052	165	8	µ	µ	NOUN
cana-1052	165	9	grows	grow	NOUN
cana-1052	165	10	,	,	PUNCT
cana-1052	165	11	the	the	DET
cana-1052	165	12	considered	consider	VERB
cana-1052	165	13	probabilities	probability	NOUN
cana-1052	165	14	drop	drop	VERB
cana-1052	165	15	.	.	PUNCT
cana-1052	166	1	this	this	PRON
cana-1052	166	2	is	be	AUX
cana-1052	166	3	apparent	apparent	ADJ
cana-1052	166	4	because	because	SCONJ
cana-1052	166	5	growing	grow	VERB
cana-1052	166	6	signifies	signify	VERB
cana-1052	166	7	a	a	DET
cana-1052	166	8	higher	high	ADJ
cana-1052	166	9	chance	chance	NOUN
cana-1052	166	10	of	of	ADP
cana-1052	166	11	customers	customer	NOUN
cana-1052	166	12	abandoning	abandon	VERB
cana-1052	166	13	the	the	DET
cana-1052	166	14	system	system	NOUN
cana-1052	166	15	during	during	ADP
cana-1052	166	16	the	the	DET
cana-1052	166	17	service	service	NOUN
cana-1052	166	18	receiving	receive	VERB
cana-1052	166	19	stage	stage	NOUN
cana-1052	166	20	,	,	PUNCT
cana-1052	166	21	resulting	result	VERB
cana-1052	166	22	in	in	ADP
cana-1052	166	23	a	a	DET
cana-1052	166	24	shorter	short	ADJ
cana-1052	166	25	system	system	NOUN
cana-1052	166	26	length	length	NOUN
cana-1052	166	27	.	.	PUNCT
cana-1052	167	1	the	the	DET
cana-1052	167	2	purpose	purpose	NOUN
cana-1052	167	3	of	of	ADP
cana-1052	167	4	this	this	DET
cana-1052	167	5	experiment	experiment	NOUN
cana-1052	167	6	is	be	AUX
cana-1052	167	7	to	to	PART
cana-1052	167	8	investigate	investigate	VERB
cana-1052	167	9	the	the	DET
cana-1052	167	10	effect	effect	NOUN
cana-1052	167	11	of	of	ADP
cana-1052	167	12	increasing	increase	VERB
cana-1052	167	13	the	the	DET
cana-1052	167	14	arrival	arrival	NOUN
cana-1052	167	15	rate	rate	NOUN
cana-1052	167	16	λ	λ	PROPN
cana-1052	167	17	on	on	ADP
cana-1052	167	18	the	the	DET
cana-1052	167	19	average	average	ADJ
cana-1052	167	20	response	response	NOUN
cana-1052	167	21	time	time	NOUN
cana-1052	167	22	µ	µ	X
cana-1052	167	23	of	of	ADP
cana-1052	167	24	a	a	DET
cana-1052	167	25	client	client	NOUN
cana-1052	167	26	.	.	PUNCT
cana-1052	168	1	figure	figure	NOUN
cana-1052	168	2	4	4	NUM
cana-1052	168	3	shows	show	VERB
cana-1052	168	4	that	that	SCONJ
cana-1052	168	5	as	as	ADP
cana-1052	168	6	grows	grow	NOUN
cana-1052	168	7	,	,	PUNCT
cana-1052	168	8	the	the	DET
cana-1052	168	9	average	average	ADJ
cana-1052	168	10	waiting	waiting	NOUN
cana-1052	168	11	time	time	NOUN
cana-1052	168	12	for	for	ADP
cana-1052	168	13	clients	client	NOUN
cana-1052	168	14	in	in	ADP
cana-1052	168	15	the	the	DET
cana-1052	168	16	system	system	NOUN
cana-1052	168	17	increases	increase	NOUN
cana-1052	168	18	,	,	PUNCT
cana-1052	168	19	as	as	SCONJ
cana-1052	168	20	expected	expect	VERB
cana-1052	168	21	.	.	PUNCT
cana-1052	169	1	the	the	DET
cana-1052	169	2	purpose	purpose	NOUN
cana-1052	169	3	of	of	ADP
cana-1052	169	4	this	this	DET
cana-1052	169	5	experiment	experiment	NOUN
cana-1052	169	6	is	be	AUX
cana-1052	169	7	to	to	PART
cana-1052	169	8	evaluate	evaluate	VERB
cana-1052	169	9	the	the	DET
cana-1052	169	10	behavior	behavior	NOUN
cana-1052	169	11	of	of	ADP
cana-1052	169	12	the	the	DET
cana-1052	169	13	mean	mean	ADJ
cana-1052	169	14	system	system	NOUN
cana-1052	169	15	length	length	NOUN
cana-1052	169	16	versus	versus	ADP
cana-1052	169	17	the	the	DET
cana-1052	169	18	vacation	vacation	NOUN
cana-1052	169	19	rate	rate	NOUN
cana-1052	169	20	for	for	ADP
cana-1052	169	21	the	the	DET
cana-1052	169	22	three	three	NUM
cana-1052	169	23	possibilities	possibility	NOUN
cana-1052	169	24	of	of	ADP
cana-1052	169	25	the	the	DET
cana-1052	169	26	relationship	relationship	NOUN
cana-1052	169	27	between	between	ADP
cana-1052	169	28	λ	λ	PROPN
cana-1052	169	29	and	and	CCONJ
cana-1052	169	30	µ.	µ.	PROPN
cana-1052	169	31	figure	figure	NOUN
cana-1052	169	32	5	5	NUM
cana-1052	169	33	shows	show	VERB
cana-1052	169	34	that	that	SCONJ
cana-1052	169	35	the	the	DET
cana-1052	169	36	following	follow	VERB
cana-1052	169	37	are	be	AUX
cana-1052	169	38	true	true	ADJ
cana-1052	169	39	:	:	PUNCT
cana-1052	169	40	•	•	NOUN
cana-1052	169	41	with	with	ADP
cana-1052	169	42	the	the	DET
cana-1052	169	43	exception	exception	NOUN
cana-1052	169	44	of	of	ADP
cana-1052	169	45	the	the	DET
cana-1052	169	46	case	case	NOUN
cana-1052	169	47	λ	λ	ADP
cana-1052	169	48	<	<	X
cana-1052	169	49	µ	µ	X
cana-1052	169	50	,	,	PUNCT
cana-1052	169	51	the	the	DET
cana-1052	169	52	mean	mean	ADJ
cana-1052	169	53	system	system	NOUN
cana-1052	169	54	size	size	NOUN
cana-1052	169	55	increases	increase	VERB
cana-1052	169	56	slowly	slowly	ADV
cana-1052	169	57	with	with	ADP
cana-1052	169	58	increasing	increase	VERB
cana-1052	169	59	.	.	PUNCT
cana-1052	170	1	•	•	PUNCT
cana-1052	170	2	as	as	ADP
cana-1052	170	3	the	the	PRON
cana-1052	170	4	for	for	ADP
cana-1052	170	5	the	the	DET
cana-1052	170	6	example	example	NOUN
cana-1052	170	7	increases	increase	NOUN
cana-1052	170	8	,	,	PUNCT
cana-1052	170	9	the	the	DET
cana-1052	170	10	mean	mean	ADJ
cana-1052	170	11	system	system	NOUN
cana-1052	170	12	size	size	NOUN
cana-1052	170	13	falls	fall	VERB
cana-1052	170	14	steadily	steadily	ADV
cana-1052	170	15	.	.	PUNCT
cana-1052	171	1	this	this	PRON
cana-1052	171	2	is	be	AUX
cana-1052	171	3	due	due	ADJ
cana-1052	171	4	to	to	ADP
cana-1052	171	5	the	the	DET
cana-1052	171	6	fact	fact	NOUN
cana-1052	171	7	that	that	SCONJ
cana-1052	171	8	as	as	ADP
cana-1052	171	9	the	the	DET
cana-1052	171	10	vacation	vacation	NOUN
cana-1052	171	11	rate	rate	NOUN
cana-1052	171	12	γ	γ	NOUN
cana-1052	171	13	increases	increase	NOUN
cana-1052	171	14	,	,	PUNCT
cana-1052	171	15	the	the	DET
cana-1052	171	16	server	server	NOUN
cana-1052	171	17	returns	return	NOUN
cana-1052	171	18	to	to	ADP
cana-1052	171	19	the	the	DET
cana-1052	171	20	system	system	NOUN
cana-1052	171	21	sooner	soon	ADV
cana-1052	171	22	.	.	PUNCT
cana-1052	172	1	as	as	ADP
cana-1052	172	2	a	a	DET
cana-1052	172	3	result	result	NOUN
cana-1052	172	4	,	,	PUNCT
cana-1052	172	5	the	the	DET
cana-1052	172	6	predicted	predict	VERB
cana-1052	172	7	number	number	NOUN
cana-1052	172	8	of	of	ADP
cana-1052	172	9	consumers	consumer	NOUN
cana-1052	172	10	increases	increase	VERB
cana-1052	172	11	for	for	ADP
cana-1052	172	12	cases	case	NOUN
cana-1052	172	13	λ=µ	λ=µ	PUNCT
cana-1052	172	14	and	and	CCONJ
cana-1052	172	15	λ	λ	X
cana-1052	172	16	<	<	X
cana-1052	172	17	µ	µ	X
cana-1052	172	18	and	and	CCONJ
cana-1052	172	19	falls	fall	VERB
cana-1052	172	20	for	for	ADP
cana-1052	172	21	the	the	DET
cana-1052	172	22	remaining	remain	VERB
cana-1052	172	23	case	case	NOUN
cana-1052	172	24	.	.	PUNCT
cana-1052	173	1	λ	λ	X
cana-1052	173	2	µ∗	µ∗	VERB
cana-1052	173	3	e(l	e(l	PROPN
cana-1052	173	4	)	)	PUNCT
cana-1052	173	5	e(w	e(w	ADJ
cana-1052	173	6	)	)	PUNCT
cana-1052	174	1	tc∗	tc∗	PUNCT
cana-1052	174	2	elapsed	elapse	VERB
cana-1052	174	3	time	time	NOUN
cana-1052	174	4	0.3	0.3	NUM
cana-1052	174	5	1.3629	1.3629	NUM
cana-1052	174	6	1.8445	1.8445	NUM
cana-1052	174	7	6.1484	6.1484	NUM
cana-1052	174	8	47.7613	47.7613	NUM
cana-1052	174	9	291.0614	291.0614	NUM
cana-1052	174	10	0.4	0.4	NUM
cana-1052	174	11	1.4473	1.4473	NUM
cana-1052	174	12	2.3228	2.3228	NUM
cana-1052	174	13	5.8070	5.8070	NUM
cana-1052	174	14	48.1851	48.1851	NUM
cana-1052	174	15	329.2360	329.2360	NUM
cana-1052	174	16	0.5	0.5	NUM
cana-1052	174	17	1.5355	1.5355	NUM
cana-1052	174	18	2.9194	2.9194	NUM
cana-1052	174	19	5.8388	5.8388	NUM
cana-1052	174	20	50.3765	50.3765	NUM
cana-1052	174	21	321.3652	321.3652	NUM
cana-1052	174	22	0.6	0.6	NUM
cana-1052	174	23	1.6241	1.6241	NUM
cana-1052	174	24	3.6782	3.6782	NUM
cana-1052	174	25	6.1304	6.1304	NUM
cana-1052	174	26	53.9342	53.9342	NUM
cana-1052	174	27	350.7149	350.7149	NUM
cana-1052	174	28	0.8	0.8	NUM
cana-1052	174	29	1.7941	1.7941	NUM
cana-1052	174	30	5.9485	5.9485	NUM
cana-1052	174	31	7.4356	7.4356	NUM
cana-1052	174	32	65.3713	65.3713	NUM
cana-1052	174	33	359.1852	359.1852	NUM
cana-1052	174	34	communications	communication	NOUN
cana-1052	174	35	on	on	ADP
cana-1052	174	36	applied	apply	VERB
cana-1052	174	37	nonlinear	nonlinear	ADJ
cana-1052	174	38	analysis	analysis	NOUN
cana-1052	174	39	issn	issn	NOUN
cana-1052	174	40	:	:	PUNCT
cana-1052	174	41	1074	1074	NUM
cana-1052	174	42	-	-	PUNCT
cana-1052	174	43	133x	133x	NUM
cana-1052	174	44	vol	vol	NOUN
cana-1052	174	45	31	31	NUM
cana-1052	174	46	no	no	NOUN
cana-1052	174	47	.	.	PUNCT
cana-1052	175	1	5s	5s	NUM
cana-1052	175	2	(	(	PUNCT
cana-1052	175	3	2024	2024	NUM
cana-1052	175	4	)	)	PUNCT
cana-1052	175	5	324	324	NUM
cana-1052	176	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1052	176	2	references	reference	NOUN
cana-1052	176	3	[	[	X
cana-1052	176	4	1	1	NUM
cana-1052	176	5	]	]	X
cana-1052	176	6	s.i	s.i	PROPN
cana-1052	176	7	.	.	PROPN
cana-1052	176	8	ammar	ammar	PROPN
cana-1052	176	9	,	,	PUNCT
cana-1052	176	10	a.a	a.a	PROPN
cana-1052	176	11	.	.	PROPN
cana-1052	176	12	el	el	PROPN
cana-1052	176	13	-	-	PROPN
cana-1052	176	14	sherbiny	sherbiny	PROPN
cana-1052	176	15	,	,	PUNCT
cana-1052	176	16	s.a	s.a	PROPN
cana-1052	176	17	.	.	PROPN
cana-1052	177	1	el	el	PROPN
cana-1052	177	2	-	-	PUNCT
cana-1052	177	3	shehawy	shehawy	PROPN
cana-1052	177	4	and	and	CCONJ
cana-1052	177	5	r.o	r.o	PROPN
cana-1052	177	6	.	.	PROPN
cana-1052	178	1	al	al	PROPN
cana-1052	178	2	-	-	PUNCT
cana-1052	178	3	seedy	seedy	PROPN
cana-1052	178	4	,	,	PUNCT
cana-1052	178	5	a	a	DET
cana-1052	178	6	matrix	matrix	NOUN
cana-1052	178	7	approach	approach	NOUN
cana-1052	178	8	for	for	ADP
cana-1052	178	9	the	the	DET
cana-1052	178	10	transient	transient	ADJ
cana-1052	178	11	solution	solution	NOUN
cana-1052	178	12	of	of	ADP
cana-1052	178	13	an	an	DET
cana-1052	178	14	m	m	NOUN
cana-1052	178	15	/	/	SYM
cana-1052	178	16	m/1	m/1	NOUN
cana-1052	178	17	/	/	SYM
cana-1052	178	18	n	n	PRON
cana-1052	178	19	queue	queue	NOUN
cana-1052	178	20	with	with	ADP
cana-1052	178	21	discouraged	discouraged	ADJ
cana-1052	178	22	arrivals	arrival	NOUN
cana-1052	178	23	and	and	CCONJ
cana-1052	178	24	reneging	renege	VERB
cana-1052	178	25	,	,	PUNCT
cana-1052	178	26	international	international	ADJ
cana-1052	178	27	journal	journal	NOUN
cana-1052	178	28	of	of	ADP
cana-1052	178	29	computer	computer	NOUN
cana-1052	178	30	mathematics	mathematic	NOUN
cana-1052	178	31	,	,	PUNCT
cana-1052	178	32	vol	vol	NOUN
cana-1052	178	33	89(4	89(4	NOUN
cana-1052	178	34	)	)	PUNCT
cana-1052	178	35	,	,	PUNCT
cana-1052	178	36	(	(	PUNCT
cana-1052	178	37	2012	2012	NUM
cana-1052	178	38	)	)	PUNCT
cana-1052	178	39	,	,	PUNCT
cana-1052	178	40	pp	pp	ADP
cana-1052	178	41	482	482	NUM
cana-1052	178	42	-	-	SYM
cana-1052	178	43	491	491	NUM
cana-1052	178	44	.	.	PUNCT
cana-1052	179	1	[	[	X
cana-1052	179	2	2	2	NUM
cana-1052	179	3	]	]	X
cana-1052	179	4	k.v	k.v	PROPN
cana-1052	179	5	.	.	PROPN
cana-1052	179	6	abdul	abdul	PROPN
cana-1052	179	7	rasheed	rasheed	PROPN
cana-1052	179	8	and	and	CCONJ
cana-1052	179	9	m.	m.	NOUN
cana-1052	179	10	manoharan	manoharan	NOUN
cana-1052	179	11	,	,	PUNCT
cana-1052	179	12	markovian	markovian	NOUN
cana-1052	179	13	queueing	queue	VERB
cana-1052	179	14	system	system	NOUN
cana-1052	179	15	with	with	ADP
cana-1052	179	16	discouraged	discouraged	ADJ
cana-1052	179	17	arrivals	arrival	NOUN
cana-1052	179	18	and	and	CCONJ
cana-1052	179	19	self	self	NOUN
cana-1052	179	20	-	-	PUNCT
cana-1052	179	21	regulatory	regulatory	ADJ
cana-1052	179	22	servers	server	NOUN
cana-1052	179	23	,	,	PUNCT
cana-1052	179	24	advances	advance	NOUN
cana-1052	179	25	in	in	ADP
cana-1052	179	26	operations	operation	NOUN
cana-1052	179	27	research	research	NOUN
cana-1052	179	28	,	,	PUNCT
cana-1052	179	29	vol	vol	NOUN
cana-1052	179	30	2016	2016	NUM
cana-1052	179	31	,	,	PUNCT
cana-1052	179	32	(	(	PUNCT
cana-1052	179	33	2016	2016	NUM
cana-1052	179	34	)	)	PUNCT
cana-1052	179	35	,	,	PUNCT
cana-1052	179	36	pp	pp	ADP
cana-1052	179	37	2	2	NUM
cana-1052	179	38	-	-	SYM
cana-1052	179	39	12	12	NUM
cana-1052	179	40	.	.	PUNCT
cana-1052	180	1	[	[	X
cana-1052	180	2	3	3	X
cana-1052	180	3	]	]	X
cana-1052	180	4	a.a	a.a	PROPN
cana-1052	180	5	.	.	PROPN
cana-1052	180	6	bouchentouf	bouchentouf	PROPN
cana-1052	180	7	,	,	PUNCT
cana-1052	180	8	m.	m.	NOUN
cana-1052	180	9	cherfaoui	cherfaoui	NOUN
cana-1052	180	10	and	and	CCONJ
cana-1052	180	11	m.	m.	PROPN
cana-1052	180	12	bolaem	bolaem	PROPN
cana-1052	180	13	,	,	PUNCT
cana-1052	180	14	performance	performance	NOUN
cana-1052	180	15	and	and	CCONJ
cana-1052	180	16	economic	economic	ADJ
cana-1052	180	17	analysis	analysis	NOUN
cana-1052	180	18	of	of	ADP
cana-1052	180	19	a	a	DET
cana-1052	180	20	single	single	ADJ
cana-1052	180	21	server	server	NOUN
cana-1052	180	22	feedback	feedback	NOUN
cana-1052	180	23	queueing	queue	VERB
cana-1052	180	24	model	model	NOUN
cana-1052	180	25	with	with	ADP
cana-1052	180	26	vacation	vacation	NOUN
cana-1052	180	27	and	and	CCONJ
cana-1052	180	28	impatient	impatient	ADJ
cana-1052	180	29	customers	customer	NOUN
cana-1052	180	30	,	,	PUNCT
cana-1052	180	31	opsearch	opsearch	PROPN
cana-1052	180	32	,	,	PUNCT
cana-1052	180	33	vol	vol	NOUN
cana-1052	180	34	56	56	NUM
cana-1052	180	35	,	,	PUNCT
cana-1052	180	36	(	(	PUNCT
cana-1052	180	37	2019	2019	NUM
cana-1052	180	38	)	)	PUNCT
cana-1052	180	39	,	,	PUNCT
cana-1052	180	40	pp	pp	ADP
cana-1052	180	41	300	300	NUM
cana-1052	180	42	-	-	SYM
cana-1052	180	43	323	323	NUM
cana-1052	180	44	.	.	PUNCT
cana-1052	181	1	[	[	X
cana-1052	181	2	4	4	NUM
cana-1052	181	3	]	]	X
cana-1052	181	4	p.j	p.j	PROPN
cana-1052	181	5	.	.	PROPN
cana-1052	181	6	courtois	courtois	PROPN
cana-1052	181	7	and	and	CCONJ
cana-1052	181	8	j.	j.	PROPN
cana-1052	181	9	georges	georges	PROPN
cana-1052	181	10	,	,	PUNCT
cana-1052	181	11	on	on	ADP
cana-1052	181	12	a	a	DET
cana-1052	181	13	single	single	ADJ
cana-1052	181	14	server	server	NOUN
cana-1052	181	15	finite	finite	ADJ
cana-1052	181	16	queuing	queuing	NOUN
cana-1052	181	17	model	model	NOUN
cana-1052	181	18	with	with	ADP
cana-1052	181	19	state	state	NOUN
cana-1052	181	20	dependent	dependent	ADJ
cana-1052	181	21	arrival	arrival	NOUN
cana-1052	181	22	and	and	CCONJ
cana-1052	181	23	service	service	NOUN
cana-1052	181	24	processes	process	NOUN
cana-1052	181	25	,	,	PUNCT
cana-1052	181	26	operations	operation	NOUN
cana-1052	181	27	research	research	NOUN
cana-1052	181	28	,	,	PUNCT
cana-1052	181	29	vol	vol	NOUN
cana-1052	181	30	19(2	19(2	NUM
cana-1052	181	31	)	)	PUNCT
cana-1052	181	32	,	,	PUNCT
cana-1052	181	33	(	(	PUNCT
cana-1052	181	34	1971	1971	NUM
cana-1052	181	35	)	)	PUNCT
cana-1052	181	36	,	,	PUNCT
cana-1052	181	37	pp	pp	ADP
cana-1052	181	38	424	424	NUM
cana-1052	181	39	-	-	SYM
cana-1052	181	40	435	435	NUM
cana-1052	181	41	.	.	PUNCT
cana-1052	182	1	[	[	X
cana-1052	182	2	5	5	NUM
cana-1052	182	3	]	]	X
cana-1052	182	4	b.t	b.t	PROPN
cana-1052	182	5	.	.	PROPN
cana-1052	182	6	doshi	doshi	PROPN
cana-1052	182	7	,	,	PUNCT
cana-1052	182	8	queueing	queue	VERB
cana-1052	182	9	systems	system	NOUN
cana-1052	182	10	with	with	ADP
cana-1052	182	11	vacations	vacation	NOUN
cana-1052	182	12	-	-	PUNCT
cana-1052	182	13	a	a	DET
cana-1052	182	14	survey	survey	NOUN
cana-1052	182	15	,	,	PUNCT
cana-1052	182	16	queueing	queue	VERB
cana-1052	182	17	systems	system	NOUN
cana-1052	182	18	,	,	PUNCT
cana-1052	182	19	vol	vol	NOUN
cana-1052	182	20	1	1	NUM
cana-1052	182	21	,	,	PUNCT
cana-1052	182	22	(	(	PUNCT
cana-1052	182	23	1986	1986	NUM
cana-1052	182	24	)	)	PUNCT
cana-1052	182	25	.	.	PUNCT
cana-1052	183	1	[	[	X
cana-1052	183	2	6	6	NUM
cana-1052	183	3	]	]	X
cana-1052	183	4	n.	n.	NOUN
cana-1052	183	5	haddadi	haddadi	NOUN
cana-1052	183	6	,	,	PUNCT
cana-1052	183	7	busy	busy	ADJ
cana-1052	183	8	period	period	NOUN
cana-1052	183	9	of	of	ADP
cana-1052	183	10	queues	queue	NOUN
cana-1052	183	11	with	with	ADP
cana-1052	183	12	state	state	NOUN
cana-1052	183	13	dependent	dependent	ADJ
cana-1052	183	14	arrival	arrival	NOUN
cana-1052	183	15	and	and	CCONJ
cana-1052	183	16	service	service	NOUN
cana-1052	183	17	rates	rate	NOUN
cana-1052	183	18	,	,	PUNCT
cana-1052	183	19	journal	journal	NOUN
cana-1052	183	20	of	of	ADP
cana-1052	183	21	applied	apply	VERB
cana-1052	183	22	probability	probability	NOUN
cana-1052	183	23	,	,	PUNCT
cana-1052	183	24	vol	vol	NOUN
cana-1052	183	25	11(4	11(4	NUM
cana-1052	183	26	)	)	PUNCT
cana-1052	183	27	,	,	PUNCT
cana-1052	183	28	(	(	PUNCT
cana-1052	183	29	1974	1974	NUM
cana-1052	183	30	)	)	PUNCT
cana-1052	183	31	,	,	PUNCT
cana-1052	183	32	pp	pp	ADP
cana-1052	183	33	842	842	NUM
cana-1052	183	34	-	-	SYM
cana-1052	183	35	848	848	NUM
cana-1052	183	36	.	.	PUNCT
cana-1052	184	1	[	[	X
cana-1052	184	2	7	7	X
cana-1052	184	3	]	]	X
cana-1052	184	4	s.	s.	PROPN
cana-1052	184	5	hanumanth	hanumanth	PROPN
cana-1052	184	6	rao	rao	PROPN
cana-1052	184	7	,	,	PUNCT
cana-1052	184	8	v.	v.	ADP
cana-1052	184	9	vasanta	vasanta	NOUN
cana-1052	184	10	kumar	kumar	PROPN
cana-1052	184	11	and	and	CCONJ
cana-1052	184	12	k.	k.	PROPN
cana-1052	184	13	satish	satish	PROPN
cana-1052	184	14	kumar	kumar	PROPN
cana-1052	184	15	,	,	PUNCT
cana-1052	184	16	encouraged	encourage	VERB
cana-1052	184	17	or	or	CCONJ
cana-1052	184	18	discouraged	discourage	VERB
cana-1052	184	19	arrivals	arrival	NOUN
cana-1052	184	20	of	of	ADP
cana-1052	184	21	an	an	DET
cana-1052	184	22	m	m	NOUN
cana-1052	184	23	/	/	SYM
cana-1052	184	24	m/1	m/1	NOUN
cana-1052	184	25	/	/	SYM
cana-1052	184	26	n	n	NOUN
cana-1052	184	27	queueing	queue	VERB
cana-1052	184	28	system	system	NOUN
cana-1052	184	29	with	with	ADP
cana-1052	184	30	modified	modified	ADJ
cana-1052	184	31	reneging	reneging	NOUN
cana-1052	184	32	,	,	PUNCT
cana-1052	184	33	advances	advance	NOUN
cana-1052	184	34	in	in	ADP
cana-1052	184	35	mathematics	mathematic	NOUN
cana-1052	184	36	:	:	PUNCT
cana-1052	184	37	science	science	NOUN
cana-1052	184	38	journal	journal	NOUN
cana-1052	184	39	,	,	PUNCT
cana-1052	184	40	vol	vol	NOUN
cana-1052	184	41	9(9	9(9	NUM
cana-1052	184	42	)	)	PUNCT
cana-1052	184	43	,	,	PUNCT
cana-1052	184	44	(	(	PUNCT
cana-1052	184	45	2020	2020	NUM
cana-1052	184	46	)	)	PUNCT
cana-1052	184	47	,	,	PUNCT
cana-1052	184	48	pp	pp	ADP
cana-1052	184	49	66416647	66416647	NUM
cana-1052	184	50	.	.	PUNCT
cana-1052	185	1	[	[	X
cana-1052	185	2	8	8	X
cana-1052	185	3	]	]	X
cana-1052	185	4	john	john	PROPN
cana-1052	185	5	f.	f.	PROPN
cana-1052	185	6	reynolds	reynolds	PROPN
cana-1052	185	7	,	,	PUNCT
cana-1052	185	8	the	the	DET
cana-1052	185	9	stationary	stationary	ADJ
cana-1052	185	10	solution	solution	NOUN
cana-1052	185	11	of	of	ADP
cana-1052	185	12	a	a	DET
cana-1052	185	13	multiserver	multiserver	NOUN
cana-1052	185	14	queuing	queuing	NOUN
cana-1052	185	15	model	model	NOUN
cana-1052	185	16	with	with	ADP
cana-1052	185	17	discouragement	discouragement	NOUN
cana-1052	185	18	,	,	PUNCT
cana-1052	185	19	operations	operation	NOUN
cana-1052	185	20	research	research	NOUN
cana-1052	185	21	,	,	PUNCT
cana-1052	185	22	vol	vol	NOUN
cana-1052	185	23	16(1	16(1	NUM
cana-1052	185	24	)	)	PUNCT
cana-1052	185	25	,	,	PUNCT
cana-1052	185	26	(	(	PUNCT
cana-1052	185	27	1968	1968	NUM
cana-1052	185	28	)	)	PUNCT
cana-1052	185	29	,	,	PUNCT
cana-1052	185	30	pp	pp	ADV
cana-1052	185	31	64	64	NUM
cana-1052	185	32	-	-	SYM
cana-1052	185	33	71	71	NUM
cana-1052	185	34	.	.	PUNCT
cana-1052	186	1	[	[	X
cana-1052	186	2	9	9	NUM
cana-1052	186	3	]	]	X
cana-1052	186	4	r.	r.	PROPN
cana-1052	186	5	kumar	kumar	PROPN
cana-1052	186	6	and	and	CCONJ
cana-1052	186	7	s.	s.	PROPN
cana-1052	186	8	kumar	kumar	PROPN
cana-1052	186	9	sharma	sharma	PROPN
cana-1052	186	10	,	,	PUNCT
cana-1052	186	11	a	a	DET
cana-1052	186	12	single	single	ADJ
cana-1052	186	13	server	server	NOUN
cana-1052	186	14	markovian	markovian	NOUN
cana-1052	186	15	queueing	queue	VERB
cana-1052	186	16	system	system	NOUN
cana-1052	186	17	with	with	ADP
cana-1052	186	18	discouraged	discouraged	ADJ
cana-1052	186	19	arrivals	arrival	NOUN
cana-1052	186	20	and	and	CCONJ
cana-1052	186	21	retention	retention	NOUN
cana-1052	186	22	of	of	ADP
cana-1052	186	23	reneged	renege	VERB
cana-1052	186	24	customer	customer	NOUN
cana-1052	186	25	,	,	PUNCT
cana-1052	186	26	yugoslav	yugoslav	ADJ
cana-1052	186	27	journal	journal	PROPN
cana-1052	186	28	of	of	ADP
cana-1052	186	29	operations	operation	NOUN
cana-1052	186	30	research	research	NOUN
cana-1052	186	31	,	,	PUNCT
cana-1052	186	32	vol	vol	NOUN
cana-1052	186	33	24(1	24(1	NUM
cana-1052	186	34	)	)	PUNCT
cana-1052	186	35	,	,	PUNCT
cana-1052	186	36	(	(	PUNCT
cana-1052	186	37	2014	2014	NUM
cana-1052	186	38	)	)	PUNCT
cana-1052	186	39	,	,	PUNCT
cana-1052	186	40	pp	pp	ADV
cana-1052	186	41	119	119	NUM
cana-1052	186	42	-	-	SYM
cana-1052	186	43	126	126	NUM
cana-1052	186	44	.	.	PUNCT
cana-1052	187	1	[	[	X
cana-1052	187	2	10	10	NUM
cana-1052	187	3	]	]	X
cana-1052	187	4	j.	j.	PROPN
cana-1052	187	5	loristeghem	loristeghem	PROPN
cana-1052	187	6	,	,	PUNCT
cana-1052	187	7	analysis	analysis	NOUN
cana-1052	187	8	of	of	ADP
cana-1052	187	9	single	single	ADJ
cana-1052	187	10	server	server	NOUN
cana-1052	187	11	queueing	queue	VERB
cana-1052	187	12	systems	system	NOUN
cana-1052	187	13	with	with	ADP
cana-1052	187	14	vacation	vacation	NOUN
cana-1052	187	15	periods	period	NOUN
cana-1052	187	16	,	,	PUNCT
cana-1052	187	17	belgium	belgium	NOUN
cana-1052	187	18	journal	journal	NOUN
cana-1052	187	19	of	of	ADP
cana-1052	187	20	operations	operation	NOUN
cana-1052	187	21	research	research	NOUN
cana-1052	187	22	,	,	PUNCT
cana-1052	187	23	statistics	statistic	NOUN
cana-1052	187	24	,	,	PUNCT
cana-1052	187	25	computer	computer	NOUN
cana-1052	187	26	science	science	NOUN
cana-1052	187	27	,	,	PUNCT
cana-1052	187	28	vol	vol	NOUN
cana-1052	187	29	25	25	NUM
cana-1052	187	30	,	,	PUNCT
cana-1052	187	31	(	(	PUNCT
cana-1052	187	32	1985	1985	NUM
cana-1052	187	33	)	)	PUNCT
cana-1052	187	34	,	,	PUNCT
cana-1052	187	35	pp	pp	ADP
cana-1052	187	36	47	47	NUM
cana-1052	187	37	-	-	SYM
cana-1052	187	38	54	54	NUM
cana-1052	187	39	.	.	PUNCT
cana-1052	188	1	[	[	X
cana-1052	188	2	11	11	NUM
cana-1052	188	3	]	]	X
cana-1052	188	4	p.r	p.r	PROPN
cana-1052	188	5	.	.	PROPN
cana-1052	188	6	parthasarathy	parthasarathy	PROPN
cana-1052	188	7	and	and	CCONJ
cana-1052	188	8	n.	n.	PROPN
cana-1052	188	9	selvaraju	selvaraju	PROPN
cana-1052	188	10	,	,	PUNCT
cana-1052	188	11	transient	transient	VERB
cana-1052	188	12	analysis	analysis	NOUN
cana-1052	188	13	of	of	ADP
cana-1052	188	14	a	a	DET
cana-1052	188	15	queue	queue	NOUN
cana-1052	188	16	where	where	SCONJ
cana-1052	188	17	the	the	DET
cana-1052	188	18	potential	potential	ADJ
cana-1052	188	19	customers	customer	NOUN
cana-1052	188	20	discouraged	discourage	VERB
cana-1052	188	21	by	by	ADP
cana-1052	188	22	queue	queue	NOUN
cana-1052	188	23	length	length	NOUN
cana-1052	188	24	,	,	PUNCT
cana-1052	188	25	mathematical	mathematical	ADJ
cana-1052	188	26	problems	problem	NOUN
cana-1052	188	27	in	in	ADP
cana-1052	188	28	engineering	engineering	NOUN
cana-1052	188	29	,	,	PUNCT
cana-1052	188	30	vol	vol	NOUN
cana-1052	188	31	7	7	NUM
cana-1052	188	32	,	,	PUNCT
cana-1052	188	33	(	(	PUNCT
cana-1052	188	34	2001	2001	NUM
cana-1052	188	35	)	)	PUNCT
cana-1052	188	36	,	,	PUNCT
cana-1052	188	37	pp	pp	ADP
cana-1052	188	38	433	433	NUM
cana-1052	188	39	-	-	SYM
cana-1052	188	40	454	454	NUM
cana-1052	188	41	.	.	PUNCT
cana-1052	189	1	[	[	X
cana-1052	189	2	12	12	NUM
cana-1052	189	3	]	]	X
cana-1052	189	4	p.r	p.r	PROPN
cana-1052	189	5	.	.	PROPN
cana-1052	189	6	parthasarathy	parthasarathy	PROPN
cana-1052	189	7	and	and	CCONJ
cana-1052	189	8	k.v	k.v	PROPN
cana-1052	189	9	.	.	PROPN
cana-1052	189	10	vijayashree	vijayashree	NOUN
cana-1052	189	11	,	,	PUNCT
cana-1052	189	12	fluid	fluid	ADJ
cana-1052	189	13	queues	queue	NOUN
cana-1052	189	14	driven	drive	VERB
cana-1052	189	15	by	by	ADP
cana-1052	189	16	a	a	DET
cana-1052	189	17	discouraged	discouraged	ADJ
cana-1052	189	18	arrivals	arrival	NOUN
cana-1052	189	19	queue	queue	NOUN
cana-1052	189	20	,	,	PUNCT
cana-1052	189	21	international	international	ADJ
cana-1052	189	22	journal	journal	NOUN
cana-1052	189	23	of	of	ADP
cana-1052	189	24	mathematics	mathematics	PROPN
cana-1052	189	25	and	and	CCONJ
cana-1052	189	26	mathematical	mathematical	ADJ
cana-1052	189	27	sci	sci	PROPN
cana-1052	189	28	ences	ence	NOUN
cana-1052	189	29	,	,	PUNCT
cana-1052	189	30	vol	vol	NOUN
cana-1052	189	31	24	24	NUM
cana-1052	189	32	,	,	PUNCT
cana-1052	189	33	(	(	PUNCT
cana-1052	189	34	2003	2003	NUM
cana-1052	189	35	)	)	PUNCT
cana-1052	189	36	,	,	PUNCT
cana-1052	189	37	pp	pp	ADP
cana-1052	189	38	1509	1509	NUM
cana-1052	189	39	-	-	SYM
cana-1052	189	40	1528	1528	NUM
cana-1052	189	41	.	.	PUNCT
cana-1052	190	1	[	[	X
cana-1052	190	2	13	13	NUM
cana-1052	190	3	]	]	SYM
cana-1052	190	4	s.s	s.s	PROPN
cana-1052	190	5	.	.	PROPN
cana-1052	190	6	sanga	sanga	PROPN
cana-1052	190	7	and	and	CCONJ
cana-1052	190	8	m.	m.	PROPN
cana-1052	190	9	jain	jain	PROPN
cana-1052	190	10	,	,	PUNCT
cana-1052	190	11	cost	cost	VERB
cana-1052	190	12	optimization	optimization	NOUN
cana-1052	190	13	and	and	CCONJ
cana-1052	190	14	anfis	anfis	VERB
cana-1052	190	15	computing	compute	VERB
cana-1052	190	16	for	for	ADP
cana-1052	190	17	admission	admission	NOUN
cana-1052	190	18	control	control	NOUN
cana-1052	190	19	of	of	ADP
cana-1052	190	20	m	m	PROPN
cana-1052	190	21	/	/	SYM
cana-1052	190	22	m/1	m/1	PROPN
cana-1052	190	23	/	/	SYM
cana-1052	190	24	k	k	PROPN
cana-1052	190	25	queue	queue	NOUN
cana-1052	190	26	with	with	ADP
cana-1052	190	27	general	general	ADJ
cana-1052	190	28	retrial	retrial	ADJ
cana-1052	190	29	times	time	NOUN
cana-1052	190	30	and	and	CCONJ
cana-1052	190	31	discouragement	discouragement	NOUN
cana-1052	190	32	,	,	PUNCT
cana-1052	190	33	applied	apply	VERB
cana-1052	190	34	mathematics	mathematic	NOUN
cana-1052	190	35	and	and	CCONJ
cana-1052	190	36	computation	computation	NOUN
cana-1052	190	37	,	,	PUNCT
cana-1052	190	38	vol	vol	NOUN
cana-1052	190	39	363	363	NUM
cana-1052	190	40	,	,	PUNCT
cana-1052	190	41	(	(	PUNCT
cana-1052	190	42	2019	2019	NUM
cana-1052	190	43	)	)	PUNCT
cana-1052	190	44	,	,	PUNCT
cana-1052	190	45	pp	pp	ADP
cana-1052	190	46	1	1	NUM
cana-1052	190	47	-	-	SYM
cana-1052	190	48	22	22	NUM
cana-1052	190	49	.	.	PUNCT
cana-1052	191	1	[	[	X
cana-1052	191	2	14	14	NUM
cana-1052	191	3	]	]	X
cana-1052	191	4	o.p	o.p	PROPN
cana-1052	191	5	.	.	PROPN
cana-1052	191	6	sharma	sharma	PROPN
cana-1052	191	7	and	and	CCONJ
cana-1052	191	8	m.v.r	m.v.r	NOUN
cana-1052	191	9	.	.	PUNCT
cana-1052	191	10	maheswar	maheswar	PROPN
cana-1052	191	11	,	,	PUNCT
cana-1052	191	12	transient	transient	ADJ
cana-1052	191	13	behaviour	behaviour	NOUN
cana-1052	191	14	of	of	ADP
cana-1052	191	15	a	a	DET
cana-1052	191	16	simple	simple	ADJ
cana-1052	191	17	queue	queue	NOUN
cana-1052	191	18	with	with	ADP
cana-1052	191	19	discouraged	discouraged	ADJ
cana-1052	191	20	arrivals	arrival	NOUN
cana-1052	191	21	,	,	PUNCT
cana-1052	191	22	optimization	optimization	NOUN
cana-1052	191	23	,	,	PUNCT
cana-1052	191	24	vol	vol	NOUN
cana-1052	191	25	27(3	27(3	NUM
cana-1052	191	26	)	)	PUNCT
cana-1052	191	27	,	,	PUNCT
cana-1052	191	28	(	(	PUNCT
cana-1052	191	29	1993	1993	NUM
cana-1052	191	30	)	)	PUNCT
cana-1052	191	31	,	,	PUNCT
cana-1052	191	32	pp	pp	ADP
cana-1052	191	33	283	283	NUM
cana-1052	191	34	-	-	SYM
cana-1052	191	35	291	291	NUM
cana-1052	191	36	.	.	PUNCT
cana-1052	192	1	[	[	X
cana-1052	192	2	15	15	NUM
cana-1052	192	3	]	]	X
cana-1052	192	4	s.	s.	PROPN
cana-1052	192	5	subba	subba	PROPN
cana-1052	192	6	rao	rao	PROPN
cana-1052	192	7	,	,	PUNCT
cana-1052	192	8	queuing	queue	VERB
cana-1052	192	9	models	model	NOUN
cana-1052	192	10	with	with	ADP
cana-1052	192	11	balking	balk	VERB
cana-1052	192	12	,	,	PUNCT
cana-1052	192	13	reneging	renege	VERB
cana-1052	192	14	,	,	PUNCT
cana-1052	192	15	and	and	CCONJ
cana-1052	192	16	interruptions	interruption	NOUN
cana-1052	192	17	,	,	PUNCT
cana-1052	192	18	operations	operation	NOUN
cana-1052	192	19	research	research	NOUN
cana-1052	192	20	,	,	PUNCT
cana-1052	192	21	vol	vol	NOUN
cana-1052	192	22	13(4	13(4	NUM
cana-1052	192	23	)	)	PUNCT
cana-1052	192	24	,	,	PUNCT
cana-1052	192	25	(	(	PUNCT
cana-1052	192	26	1965	1965	NUM
cana-1052	192	27	)	)	PUNCT
cana-1052	192	28	pp	pp	ADP
cana-1052	192	29	596	596	NUM
cana-1052	192	30	-	-	SYM
cana-1052	192	31	608	608	NUM
cana-1052	192	32	.	.	PUNCT
cana-1052	193	1	[	[	X
cana-1052	193	2	16	16	NUM
cana-1052	193	3	]	]	X
cana-1052	193	4	s.	s.	PROPN
cana-1052	193	5	takagi	takagi	PROPN
cana-1052	193	6	,	,	PUNCT
cana-1052	193	7	queueing	queue	VERB
cana-1052	193	8	analysis	analysis	NOUN
cana-1052	193	9	:	:	PUNCT
cana-1052	193	10	a	a	DET
cana-1052	193	11	foundation	foundation	NOUN
cana-1052	193	12	of	of	ADP
cana-1052	193	13	performance	performance	NOUN
cana-1052	193	14	evaluation	evaluation	NOUN
cana-1052	193	15	(	(	PUNCT
cana-1052	193	16	volume	volume	NOUN
cana-1052	193	17	i	i	PROPN
cana-1052	193	18	)	)	PUNCT
cana-1052	193	19	vacation	vacation	NOUN
cana-1052	193	20	and	and	CCONJ
cana-1052	193	21	priority	priority	NOUN
cana-1052	193	22	systems	system	NOUN
cana-1052	193	23	,	,	PUNCT
cana-1052	193	24	acm	acm	PROPN
cana-1052	193	25	sigmetrics	sigmetric	NOUN
cana-1052	193	26	performance	performance	NOUN
cana-1052	193	27	evaluation	evaluation	NOUN
cana-1052	193	28	review	review	NOUN
cana-1052	193	29	,	,	PUNCT
cana-1052	193	30	vol	vol	NOUN
cana-1052	193	31	19(2	19(2	NUM
cana-1052	193	32	)	)	PUNCT
cana-1052	193	33	,	,	PUNCT
cana-1052	193	34	(	(	PUNCT
cana-1052	193	35	1991	1991	NUM
cana-1052	193	36	)	)	PUNCT
cana-1052	193	37	,	,	PUNCT
cana-1052	193	38	pp	pp	ADP
cana-1052	193	39	487	487	NUM
cana-1052	193	40	.	.	PUNCT
cana-1052	194	1	[	[	X
cana-1052	194	2	17	17	NUM
cana-1052	194	3	]	]	X
cana-1052	194	4	n.	n.	PROPN
cana-1052	194	5	tian	tian	PROPN
cana-1052	194	6	and	and	CCONJ
cana-1052	194	7	z.g	z.g	PROPN
cana-1052	194	8	.	.	PROPN
cana-1052	194	9	zhang	zhang	PROPN
cana-1052	194	10	,	,	PUNCT
cana-1052	194	11	vacation	vacation	NOUN
cana-1052	194	12	queueing	queueing	NOUN
cana-1052	194	13	models	model	NOUN
cana-1052	194	14	,	,	PUNCT
cana-1052	194	15	springer	springer	NOUN
cana-1052	194	16	,	,	PUNCT
cana-1052	194	17	(	(	PUNCT
cana-1052	194	18	2006	2006	NUM
cana-1052	194	19	)	)	PUNCT
cana-1052	194	20	.	.	PUNCT
cana-1052	195	1	[	[	X
cana-1052	195	2	18	18	NUM
cana-1052	195	3	]	]	X
cana-1052	195	4	van	van	PROPN
cana-1052	195	5	doorn	doorn	PROPN
cana-1052	195	6	,	,	PUNCT
cana-1052	195	7	the	the	DET
cana-1052	195	8	transient	transient	ADJ
cana-1052	195	9	state	state	NOUN
cana-1052	195	10	probabilities	probability	NOUN
cana-1052	195	11	for	for	ADP
cana-1052	195	12	a	a	DET
cana-1052	195	13	queueing	queue	VERB
cana-1052	195	14	model	model	NOUN
cana-1052	195	15	where	where	SCONJ
cana-1052	195	16	potential	potential	ADJ
cana-1052	195	17	customers	customer	NOUN
cana-1052	195	18	are	be	AUX
cana-1052	195	19	discouraged	discourage	VERB
cana-1052	195	20	by	by	ADP
cana-1052	195	21	queue	queue	NOUN
cana-1052	195	22	length	length	NOUN
cana-1052	195	23	,	,	PUNCT
cana-1052	195	24	journal	journal	NOUN
cana-1052	195	25	of	of	ADP
cana-1052	195	26	applied	apply	VERB
cana-1052	195	27	probability	probability	NOUN
cana-1052	195	28	,	,	PUNCT
cana-1052	195	29	vol	vol	NOUN
cana-1052	195	30	18(2	18(2	NUM
cana-1052	195	31	)	)	PUNCT
cana-1052	195	32	,	,	PUNCT
cana-1052	195	33	(	(	PUNCT
cana-1052	195	34	1981	1981	NUM
cana-1052	195	35	)	)	PUNCT
cana-1052	195	36	,	,	PUNCT
cana-1052	195	37	pp	pp	ADP
cana-1052	195	38	499	499	NUM
cana-1052	195	39	-	-	SYM
cana-1052	195	40	506	506	NUM
cana-1052	195	41	.	.	PUNCT
cana-1052	196	1	[	[	X
cana-1052	196	2	19	19	NUM
cana-1052	196	3	]	]	X
cana-1052	196	4	vinoth	vinoth	NOUN
cana-1052	196	5	kumar	kumar	PROPN
cana-1052	196	6	srivastava	srivastava	PROPN
cana-1052	196	7	,	,	PUNCT
cana-1052	196	8	analysis	analysis	NOUN
cana-1052	196	9	of	of	ADP
cana-1052	196	10	balking	balk	VERB
cana-1052	196	11	and	and	CCONJ
cana-1052	196	12	probabilistically	probabilistically	ADV
cana-1052	196	13	modified	modify	VERB
cana-1052	196	14	reneging	renege	VERB
cana-1052	196	15	in	in	ADP
cana-1052	196	16	a	a	DET
cana-1052	196	17	m	m	NOUN
cana-1052	196	18	/	/	SYM
cana-1052	196	19	m/1	m/1	NOUN
cana-1052	196	20	waiting	wait	VERB
cana-1052	196	21	line	line	NOUN
cana-1052	196	22	under	under	ADP
cana-1052	196	23	multiple	multiple	ADJ
cana-1052	196	24	differentiated	differentiated	ADJ
cana-1052	196	25	vacations	vacation	NOUN
cana-1052	196	26	,	,	PUNCT
cana-1052	196	27	journal	journal	NOUN
cana-1052	196	28	of	of	ADP
cana-1052	196	29	algebraic	algebraic	PROPN
cana-1052	196	30	statistics	statistic	NOUN
cana-1052	196	31	,	,	PUNCT
cana-1052	196	32	vol	vol	NOUN
cana-1052	196	33	14(1	14(1	NUM
cana-1052	196	34	)	)	PUNCT
cana-1052	196	35	,	,	PUNCT
cana-1052	196	36	(	(	PUNCT
cana-1052	196	37	2023	2023	NUM
cana-1052	196	38	)	)	PUNCT
cana-1052	196	39	,	,	PUNCT
cana-1052	196	40	pp	pp	ADP
cana-1052	196	41	87	87	NUM
cana-1052	196	42	-	-	SYM
cana-1052	196	43	106	106	NUM
cana-1052	196	44	.	.	PUNCT
cana-1052	197	1	[	[	X
cana-1052	197	2	20	20	NUM
cana-1052	197	3	]	]	PUNCT
cana-1052	197	4	v.	v.	ADP
cana-1052	197	5	vijayalakshmi	vijayalakshmi	NOUN
cana-1052	197	6	,	,	PUNCT
cana-1052	197	7	k.	k.	PROPN
cana-1052	197	8	kalidass	kalidass	PROPN
cana-1052	197	9	and	and	CCONJ
cana-1052	197	10	b.	b.	PROPN
cana-1052	197	11	deepa	deepa	PROPN
cana-1052	197	12	,	,	PUNCT
cana-1052	197	13	cost	cost	VERB
cana-1052	197	14	analysis	analysis	NOUN
cana-1052	197	15	of	of	ADP
cana-1052	197	16	m	m	NOUN
cana-1052	197	17	/	/	SYM
cana-1052	197	18	m/1	m/1	NOUN
cana-1052	197	19	/	/	SYM
cana-1052	197	20	n	n	PRON
cana-1052	197	21	queue	queue	NOUN
cana-1052	197	22	with	with	ADP
cana-1052	197	23	working	work	VERB
cana-1052	197	24	breakdowns	breakdown	NOUN
cana-1052	197	25	and	and	CCONJ
cana-1052	197	26	a	a	DET
cana-1052	197	27	twophase	twophase	NOUN
cana-1052	197	28	service	service	NOUN
cana-1052	197	29	,	,	PUNCT
cana-1052	197	30	journal	journal	NOUN
cana-1052	197	31	of	of	ADP
cana-1052	197	32	physics	physics	PROPN
cana-1052	197	33	,	,	PUNCT
cana-1052	197	34	conference	conference	NOUN
cana-1052	197	35	series	series	NOUN
cana-1052	197	36	1850	1850	NUM
cana-1052	197	37	,	,	PUNCT
cana-1052	197	38	(	(	PUNCT
cana-1052	197	39	2021	2021	NUM
cana-1052	197	40	)	)	PUNCT
cana-1052	197	41	.	.	PUNCT
cana-1052	198	1	[	[	X
cana-1052	198	2	21	21	NUM
cana-1052	198	3	]	]	X
cana-1052	198	4	c.	c.	PROPN
cana-1052	198	5	baburaj	baburaj	VERB
cana-1052	198	6	and	and	CCONJ
cana-1052	198	7	p.	p.	PROPN
cana-1052	198	8	sahana	sahana	PROPN
cana-1052	198	9	,	,	PUNCT
cana-1052	198	10	a	a	DET
cana-1052	198	11	c	c	NOUN
cana-1052	198	12	policy	policy	NOUN
cana-1052	198	13	batch	batch	NOUN
cana-1052	198	14	service	service	NOUN
cana-1052	198	15	queueing	queue	VERB
cana-1052	198	16	system	system	NOUN
cana-1052	198	17	under	under	ADP
cana-1052	198	18	bernoulli	bernoulli	NOUN
cana-1052	198	19	scheduled	schedule	VERB
cana-1052	198	20	vacation	vacation	NOUN
cana-1052	198	21	and	and	CCONJ
cana-1052	198	22	manual	manual	ADJ
cana-1052	198	23	service	service	NOUN
cana-1052	198	24	,	,	PUNCT
cana-1052	198	25	journal	journal	NOUN
cana-1052	198	26	of	of	ADP
cana-1052	198	27	the	the	DET
cana-1052	198	28	kerala	kerala	PROPN
cana-1052	198	29	statistical	statistical	PROPN
cana-1052	198	30	association	association	PROPN
cana-1052	198	31	,	,	PUNCT
cana-1052	198	32	vol	vol	NOUN
cana-1052	198	33	33	33	NUM
cana-1052	198	34	,	,	PUNCT
cana-1052	198	35	(	(	PUNCT
cana-1052	198	36	2022	2022	NUM
cana-1052	198	37	)	)	PUNCT
cana-1052	198	38	,	,	PUNCT
cana-1052	198	39	pp	pp	ADP
cana-1052	198	40	71	71	NUM
cana-1052	198	41	-	-	SYM
cana-1052	198	42	87	87	NUM
cana-1052	198	43	.	.	PUNCT
cana-1052	199	1	[	[	X
cana-1052	199	2	22	22	NUM
cana-1052	199	3	]	]	X
cana-1052	199	4	yumei	yumei	PROPN
cana-1052	199	5	hou1	hou1	PROPN
cana-1052	199	6	,	,	PUNCT
cana-1052	199	7	hui	hui	PROPN
cana-1052	199	8	zeng	zeng	PROPN
cana-1052	199	9	,	,	PUNCT
cana-1052	199	10	yimin	yimin	PROPN
cana-1052	199	11	wang	wang	PROPN
cana-1052	199	12	,	,	PUNCT
cana-1052	199	13	xueqin	xueqin	PROPN
cana-1052	199	14	wang	wang	PROPN
cana-1052	199	15	and	and	CCONJ
cana-1052	199	16	qiuye	qiuye	PROPN
cana-1052	199	17	gao	gao	PROPN
cana-1052	199	18	,	,	PUNCT
cana-1052	199	19	optimization	optimization	NOUN
cana-1052	199	20	of	of	ADP
cana-1052	199	21	beds	bed	NOUN
cana-1052	199	22	allocation	allocation	NOUN
cana-1052	199	23	based	base	VERB
cana-1052	199	24	on	on	ADP
cana-1052	199	25	queuing	queue	VERB
cana-1052	199	26	model	model	NOUN
cana-1052	199	27	and	and	CCONJ
cana-1052	199	28	the	the	DET
cana-1052	199	29	particle	particle	NOUN
cana-1052	199	30	swarm	swarm	NOUN
cana-1052	199	31	optimization	optimization	NOUN
cana-1052	199	32	algorithm	algorithm	NOUN
cana-1052	199	33	,	,	PUNCT
cana-1052	199	34	international	international	ADJ
cana-1052	199	35	journal	journal	NOUN
cana-1052	199	36	of	of	ADP
cana-1052	199	37	circuits	circuit	NOUN
cana-1052	199	38	,	,	PUNCT
cana-1052	199	39	systems	system	NOUN
cana-1052	199	40	and	and	CCONJ
cana-1052	199	41	signal	signal	NOUN
cana-1052	199	42	processing	processing	NOUN
cana-1052	199	43	,	,	PUNCT
cana-1052	199	44	vol	vol	NOUN
cana-1052	199	45	13	13	NUM
cana-1052	199	46	,	,	PUNCT
cana-1052	199	47	(	(	PUNCT
cana-1052	199	48	2019	2019	NUM
cana-1052	199	49	)	)	PUNCT
cana-1052	199	50	.	.	PUNCT