id	sid	tid	token	lemma	pos
cana-759	1	1	communications	communication	NOUN
cana-759	1	2	on	on	ADP
cana-759	1	3	applied	apply	VERB
cana-759	1	4	nonlinear	nonlinear	ADJ
cana-759	1	5	analysis	analysis	NOUN
cana-759	1	6	issn	issn	NOUN
cana-759	1	7	:	:	PUNCT
cana-759	1	8	1074	1074	NUM
cana-759	1	9	-	-	PUNCT
cana-759	1	10	133x	133x	NUM
cana-759	1	11	vol	vol	NOUN
cana-759	1	12	31	31	NUM
cana-759	1	13	no	no	NOUN
cana-759	1	14	.	.	PUNCT
cana-759	2	1	3s	3s	NUM
cana-759	2	2	(	(	PUNCT
cana-759	2	3	2024	2024	NUM
cana-759	2	4	)	)	PUNCT
cana-759	2	5	197	197	NUM
cana-759	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	2	7	the	the	DET
cana-759	2	8	markovian	markovian	ADJ
cana-759	2	9	batch	batch	NOUN
cana-759	2	10	arrival	arrival	NOUN
cana-759	2	11	queue	queue	NOUN
cana-759	2	12	with	with	ADP
cana-759	2	13	differentiated	differentiated	ADJ
cana-759	2	14	vacation	vacation	NOUN
cana-759	2	15	ms	ms	PROPN
cana-759	2	16	.	.	PROPN
cana-759	2	17	k.	k.	PROPN
cana-759	3	1	vijaya1	vijaya1	PROPN
cana-759	3	2	*	*	PROPN
cana-759	3	3	,	,	PUNCT
cana-759	3	4	dr	dr	PROPN
cana-759	3	5	.	.	PROPN
cana-759	3	6	b.	b.	PROPN
cana-759	3	7	deepa2	deepa2	PROPN
cana-759	3	8	*	*	PROPN
cana-759	3	9	1*research	1*research	PROPN
cana-759	3	10	scholar	scholar	NOUN
cana-759	3	11	,	,	PUNCT
cana-759	3	12	karpagam	karpagam	PROPN
cana-759	3	13	academy	academy	PROPN
cana-759	3	14	of	of	ADP
cana-759	3	15	higher	high	ADJ
cana-759	3	16	education	education	NOUN
cana-759	3	17	,	,	PUNCT
cana-759	3	18	coimbatore.email	coimbatore.email	NOUN
cana-759	3	19	:	:	PUNCT
cana-759	3	20	vijayakirubai@gmail.com	vijayakirubai@gmail.com	X
cana-759	3	21	2*department	2*department	NUM
cana-759	3	22	of	of	ADP
cana-759	3	23	mathematics	mathematic	NOUN
cana-759	3	24	,	,	PUNCT
cana-759	3	25	faculty	faculty	NOUN
cana-759	3	26	of	of	ADP
cana-759	3	27	engineering	engineering	PROPN
cana-759	3	28	,	,	PUNCT
cana-759	3	29	karpagam	karpagam	PROPN
cana-759	3	30	academy	academy	PROPN
cana-759	3	31	of	of	ADP
cana-759	3	32	higher	high	ADJ
cana-759	3	33	education	education	NOUN
cana-759	3	34	,	,	PUNCT
cana-759	3	35	coimbatore-21	coimbatore-21	PROPN
cana-759	3	36	,	,	PUNCT
cana-759	3	37	tamil	tamil	PROPN
cana-759	3	38	nadu	nadu	NOUN
cana-759	3	39	,	,	PUNCT
cana-759	3	40	india.email	india.email	PROPN
cana-759	3	41	:	:	PUNCT
cana-759	3	42	deepa09pragu@gmail.com	deepa09pragu@gmail.com	NUM
cana-759	3	43	article	article	NOUN
cana-759	3	44	history	history	NOUN
cana-759	3	45	:	:	PUNCT
cana-759	3	46	received	receive	VERB
cana-759	3	47	:	:	PUNCT
cana-759	3	48	10	10	NUM
cana-759	3	49	-	-	PUNCT
cana-759	3	50	04	04	NUM
cana-759	3	51	-	-	PUNCT
cana-759	3	52	2024	2024	NUM
cana-759	3	53	revised	revise	VERB
cana-759	3	54	:	:	PUNCT
cana-759	3	55	29	29	NUM
cana-759	3	56	-	-	SYM
cana-759	3	57	05	05	NUM
cana-759	3	58	-	-	PUNCT
cana-759	3	59	2024	2024	NUM
cana-759	3	60	accepted	accept	VERB
cana-759	3	61	:	:	PUNCT
cana-759	3	62	15	15	NUM
cana-759	3	63	-	-	SYM
cana-759	3	64	06	06	NUM
cana-759	3	65	-	-	PUNCT
cana-759	3	66	2024	2024	NUM
cana-759	3	67	abstract	abstract	NOUN
cana-759	3	68	:	:	PUNCT
cana-759	3	69	a	a	DET
cana-759	3	70	poisson	poisson	NOUN
cana-759	3	71	batch	batch	NOUN
cana-759	3	72	arrival	arrival	NOUN
cana-759	3	73	queueing	queue	VERB
cana-759	3	74	model	model	NOUN
cana-759	3	75	with	with	ADP
cana-759	3	76	a	a	DET
cana-759	3	77	single	single	ADJ
cana-759	3	78	server	server	NOUN
cana-759	3	79	taking	take	VERB
cana-759	3	80	two	two	NUM
cana-759	3	81	different	different	ADJ
cana-759	3	82	vacations	vacation	NOUN
cana-759	3	83	at	at	ADP
cana-759	3	84	various	various	ADJ
cana-759	3	85	rates	rate	NOUN
cana-759	3	86	is	be	AUX
cana-759	3	87	being	be	AUX
cana-759	3	88	considered	consider	VERB
cana-759	3	89	for	for	ADP
cana-759	3	90	the	the	DET
cana-759	3	91	study	study	NOUN
cana-759	3	92	.	.	PUNCT
cana-759	4	1	the	the	DET
cana-759	4	2	probability	probability	NOUN
cana-759	4	3	generating	generate	VERB
cana-759	4	4	function	function	NOUN
cana-759	4	5	method	method	NOUN
cana-759	4	6	of	of	ADP
cana-759	4	7	the	the	DET
cana-759	4	8	different	different	ADJ
cana-759	4	9	states	state	NOUN
cana-759	4	10	is	be	AUX
cana-759	4	11	considered	consider	VERB
cana-759	4	12	for	for	ADP
cana-759	4	13	deriving	derive	VERB
cana-759	4	14	the	the	DET
cana-759	4	15	various	various	ADJ
cana-759	4	16	performance	performance	NOUN
cana-759	4	17	measures	measure	NOUN
cana-759	4	18	of	of	ADP
cana-759	4	19	the	the	DET
cana-759	4	20	states	state	NOUN
cana-759	4	21	;	;	PUNCT
cana-759	4	22	numerical	numerical	ADJ
cana-759	4	23	cases	case	NOUN
cana-759	4	24	and	and	CCONJ
cana-759	4	25	cost	cost	NOUN
cana-759	4	26	studies	study	NOUN
cana-759	4	27	are	be	AUX
cana-759	4	28	also	also	ADV
cana-759	4	29	extended	extend	VERB
cana-759	4	30	.	.	PUNCT
cana-759	5	1	keywords	keyword	NOUN
cana-759	5	2	:	:	PUNCT
cana-759	5	3	poisson	poisson	NOUN
cana-759	5	4	batch	batch	NOUN
cana-759	5	5	arrival	arrival	NOUN
cana-759	5	6	queue	queue	NOUN
cana-759	5	7	;	;	PUNCT
cana-759	5	8	differentiated	differentiated	ADJ
cana-759	5	9	vacations	vacation	NOUN
cana-759	5	10	;	;	PUNCT
cana-759	5	11	probability	probability	NOUN
cana-759	5	12	generating	generating	NOUN
cana-759	5	13	function	function	NOUN
cana-759	5	14	;	;	PUNCT
cana-759	5	15	1	1	X
cana-759	5	16	.	.	X
cana-759	5	17	introduction	introduction	NOUN
cana-759	5	18	queueing	queue	VERB
cana-759	5	19	models	model	NOUN
cana-759	5	20	where	where	SCONJ
cana-759	5	21	the	the	DET
cana-759	5	22	server	server	NOUN
cana-759	5	23	goes	go	VERB
cana-759	5	24	on	on	ADP
cana-759	5	25	vacation	vacation	NOUN
cana-759	5	26	have	have	VERB
cana-759	5	27	applications	application	NOUN
cana-759	5	28	in	in	ADP
cana-759	5	29	many	many	ADJ
cana-759	5	30	areas	area	NOUN
cana-759	5	31	,	,	PUNCT
cana-759	5	32	such	such	ADJ
cana-759	5	33	as	as	ADP
cana-759	5	34	production	production	NOUN
cana-759	5	35	and	and	CCONJ
cana-759	5	36	manufacturing	manufacturing	NOUN
cana-759	5	37	systems	system	NOUN
cana-759	5	38	,	,	PUNCT
cana-759	5	39	telecommunications	telecommunication	NOUN
cana-759	5	40	,	,	PUNCT
cana-759	5	41	and	and	CCONJ
cana-759	5	42	service	service	NOUN
cana-759	5	43	industries	industry	NOUN
cana-759	5	44	.	.	PUNCT
cana-759	6	1	in	in	ADP
cana-759	6	2	real	real	ADJ
cana-759	6	3	time	time	NOUN
cana-759	6	4	,	,	PUNCT
cana-759	6	5	during	during	ADP
cana-759	6	6	a	a	DET
cana-759	6	7	normal	normal	ADJ
cana-759	6	8	time	time	NOUN
cana-759	6	9	,	,	PUNCT
cana-759	6	10	if	if	SCONJ
cana-759	6	11	a	a	DET
cana-759	6	12	customer	customer	NOUN
cana-759	6	13	is	be	AUX
cana-759	6	14	in	in	ADP
cana-759	6	15	the	the	DET
cana-759	6	16	queue	queue	NOUN
cana-759	6	17	,	,	PUNCT
cana-759	6	18	the	the	DET
cana-759	6	19	server	server	NOUN
cana-759	6	20	is	be	AUX
cana-759	6	21	working	work	VERB
cana-759	6	22	at	at	ADP
cana-759	6	23	the	the	DET
cana-759	6	24	normal	normal	ADJ
cana-759	6	25	service	service	NOUN
cana-759	6	26	rate	rate	NOUN
cana-759	6	27	.	.	PUNCT
cana-759	7	1	when	when	SCONJ
cana-759	7	2	there	there	PRON
cana-759	7	3	are	be	VERB
cana-759	7	4	no	no	DET
cana-759	7	5	customers	customer	NOUN
cana-759	7	6	in	in	ADP
cana-759	7	7	the	the	DET
cana-759	7	8	system	system	NOUN
cana-759	7	9	,	,	PUNCT
cana-759	7	10	the	the	DET
cana-759	7	11	server	server	NOUN
cana-759	7	12	leaves	leave	VERB
cana-759	7	13	for	for	ADP
cana-759	7	14	a	a	DET
cana-759	7	15	primary	primary	ADJ
cana-759	7	16	vacation	vacation	NOUN
cana-759	7	17	for	for	ADP
cana-759	7	18	a	a	DET
cana-759	7	19	certain	certain	ADJ
cana-759	7	20	period	period	NOUN
cana-759	7	21	of	of	ADP
cana-759	7	22	time	time	NOUN
cana-759	7	23	.	.	PUNCT
cana-759	8	1	upon	upon	SCONJ
cana-759	8	2	returning	return	VERB
cana-759	8	3	from	from	ADP
cana-759	8	4	a	a	DET
cana-759	8	5	primary	primary	ADJ
cana-759	8	6	vacation	vacation	NOUN
cana-759	8	7	,	,	PUNCT
cana-759	8	8	if	if	SCONJ
cana-759	8	9	the	the	DET
cana-759	8	10	server	server	NOUN
cana-759	8	11	finds	find	VERB
cana-759	8	12	no	no	DET
cana-759	8	13	customers	customer	NOUN
cana-759	8	14	in	in	ADP
cana-759	8	15	the	the	DET
cana-759	8	16	system	system	NOUN
cana-759	8	17	,	,	PUNCT
cana-759	8	18	server	server	NOUN
cana-759	8	19	leaves	leave	NOUN
cana-759	8	20	for	for	ADP
cana-759	8	21	another	another	DET
cana-759	8	22	secondary	secondary	ADJ
cana-759	8	23	vacation	vacation	NOUN
cana-759	8	24	.	.	PUNCT
cana-759	9	1	after	after	ADP
cana-759	9	2	returning	return	VERB
cana-759	9	3	from	from	ADP
cana-759	9	4	the	the	DET
cana-759	9	5	secondary	secondary	ADJ
cana-759	9	6	vacation	vacation	NOUN
cana-759	9	7	,	,	PUNCT
cana-759	9	8	the	the	DET
cana-759	9	9	server	server	NOUN
cana-759	9	10	will	will	AUX
cana-759	9	11	continue	continue	VERB
cana-759	9	12	the	the	DET
cana-759	9	13	service	service	NOUN
cana-759	9	14	when	when	SCONJ
cana-759	9	15	customers	customer	NOUN
cana-759	9	16	are	be	AUX
cana-759	9	17	in	in	ADP
cana-759	9	18	the	the	DET
cana-759	9	19	system	system	NOUN
cana-759	9	20	.	.	PUNCT
cana-759	10	1	if	if	SCONJ
cana-759	10	2	there	there	PRON
cana-759	10	3	is	be	VERB
cana-759	10	4	no	no	DET
cana-759	10	5	customers	customer	NOUN
cana-759	10	6	in	in	ADP
cana-759	10	7	the	the	DET
cana-759	10	8	system	system	NOUN
cana-759	10	9	,	,	PUNCT
cana-759	10	10	the	the	DET
cana-759	10	11	server	server	NOUN
cana-759	10	12	will	will	AUX
cana-759	10	13	wait	wait	VERB
cana-759	10	14	for	for	ADP
cana-759	10	15	the	the	DET
cana-759	10	16	arrival	arrival	NOUN
cana-759	10	17	of	of	ADP
cana-759	10	18	the	the	DET
cana-759	10	19	customers	customer	NOUN
cana-759	10	20	.	.	PUNCT
cana-759	11	1	remarkable	remarkable	ADJ
cana-759	11	2	research	research	NOUN
cana-759	11	3	work	work	NOUN
cana-759	11	4	about	about	ADP
cana-759	11	5	server	server	NOUN
cana-759	11	6	vacations	vacation	NOUN
cana-759	11	7	on	on	ADP
cana-759	11	8	different	different	ADJ
cana-759	11	9	vacations	vacation	NOUN
cana-759	11	10	can	can	AUX
cana-759	11	11	be	be	AUX
cana-759	11	12	found	find	VERB
cana-759	11	13	in	in	ADP
cana-759	11	14	the	the	DET
cana-759	11	15	queueing	queue	VERB
cana-759	11	16	model	model	NOUN
cana-759	11	17	literatures	literature	NOUN
cana-759	11	18	.	.	PUNCT
cana-759	12	1	since	since	SCONJ
cana-759	12	2	levy	levy	NOUN
cana-759	12	3	and	and	CCONJ
cana-759	12	4	yechiali	yechiali	PROPN
cana-759	12	5	's	's	PART
cana-759	12	6	[	[	X
cana-759	12	7	1	1	NUM
cana-759	12	8	]	]	PUNCT
cana-759	12	9	publication	publication	NOUN
cana-759	12	10	,	,	PUNCT
cana-759	12	11	where	where	SCONJ
cana-759	12	12	the	the	DET
cana-759	12	13	concept	concept	NOUN
cana-759	12	14	was	be	AUX
cana-759	12	15	first	first	ADV
cana-759	12	16	introduced	introduce	VERB
cana-759	12	17	,	,	PUNCT
cana-759	12	18	many	many	ADJ
cana-759	12	19	academics	academic	NOUN
cana-759	12	20	have	have	AUX
cana-759	12	21	become	become	VERB
cana-759	12	22	interested	interested	ADJ
cana-759	12	23	in	in	ADP
cana-759	12	24	server	server	NOUN
cana-759	12	25	vacation	vacation	NOUN
cana-759	12	26	queuing	queuing	NOUN
cana-759	12	27	systems	system	NOUN
cana-759	12	28	.	.	PUNCT
cana-759	13	1	doshi	doshi	PROPN
cana-759	14	1	[	[	X
cana-759	14	2	2	2	NUM
cana-759	14	3	]	]	PUNCT
cana-759	14	4	did	do	VERB
cana-759	14	5	a	a	DET
cana-759	14	6	number	number	NOUN
cana-759	14	7	of	of	ADP
cana-759	14	8	great	great	ADJ
cana-759	14	9	surveys	survey	NOUN
cana-759	14	10	on	on	ADP
cana-759	14	11	those	those	DET
cana-759	14	12	vacation	vacation	NOUN
cana-759	14	13	models	model	NOUN
cana-759	14	14	.	.	PUNCT
cana-759	15	1	many	many	ADJ
cana-759	15	2	scholars	scholar	NOUN
cana-759	15	3	spent	spend	VERB
cana-759	15	4	time	time	NOUN
cana-759	15	5	on	on	ADP
cana-759	15	6	the	the	DET
cana-759	15	7	working	work	VERB
cana-759	15	8	vacation	vacation	NOUN
cana-759	15	9	concept	concept	NOUN
cana-759	15	10	,	,	PUNCT
cana-759	15	11	and	and	CCONJ
cana-759	15	12	different	different	ADJ
cana-759	15	13	authors	author	NOUN
cana-759	15	14	have	have	AUX
cana-759	15	15	modified	modify	VERB
cana-759	15	16	the	the	DET
cana-759	15	17	original	original	ADJ
cana-759	15	18	model	model	NOUN
cana-759	15	19	.	.	PUNCT
cana-759	16	1	baba	baba	PROPN
cana-759	17	1	[	[	X
cana-759	17	2	3	3	NUM
cana-759	17	3	]	]	X
cana-759	17	4	utilized	utilize	VERB
cana-759	17	5	the	the	DET
cana-759	17	6	matrix	matrix	NOUN
cana-759	17	7	analytical	analytical	ADJ
cana-759	17	8	method	method	NOUN
cana-759	17	9	for	for	ADP
cana-759	17	10	examining	examine	VERB
cana-759	17	11	a	a	DET
cana-759	17	12	g1	g1	NOUN
cana-759	17	13	/	/	SYM
cana-759	17	14	m/1	m/1	NOUN
cana-759	17	15	working	work	VERB
cana-759	17	16	queue	queue	NOUN
cana-759	17	17	vacations	vacation	NOUN
cana-759	17	18	.	.	PUNCT
cana-759	18	1	v.m	v.m	PROPN
cana-759	18	2	.	.	PROPN
cana-759	18	3	chandrasekaran	chandrasekaran	VERB
cana-759	18	4	[	[	X
cana-759	18	5	4	4	NUM
cana-759	18	6	]	]	PUNCT
cana-759	18	7	carried	carry	VERB
cana-759	18	8	out	out	ADP
cana-759	18	9	research	research	NOUN
cana-759	18	10	on	on	ADP
cana-759	18	11	working	work	VERB
cana-759	18	12	vacation	vacation	NOUN
cana-759	18	13	queueing	queueing	NOUN
cana-759	18	14	models	model	NOUN
cana-759	18	15	.	.	PUNCT
cana-759	19	1	anfis	anfis	VERB
cana-759	19	2	and	and	CCONJ
cana-759	19	3	cost	cost	VERB
cana-759	19	4	optimization	optimization	NOUN
cana-759	19	5	for	for	ADP
cana-759	19	6	a	a	DET
cana-759	19	7	markovian	markovian	ADJ
cana-759	19	8	queue	queue	NOUN
cana-759	19	9	with	with	ADP
cana-759	19	10	operation	operation	NOUN
cana-759	19	11	vacation	vacation	NOUN
cana-759	19	12	were	be	AUX
cana-759	19	13	examined	examine	VERB
cana-759	19	14	by	by	ADP
cana-759	19	15	sonali	sonali	PROPN
cana-759	19	16	thakur	thakur	PROPN
cana-759	20	1	[	[	X
cana-759	20	2	5	5	NUM
cana-759	20	3	]	]	PUNCT
cana-759	20	4	.	.	PUNCT
cana-759	21	1	utilizing	utilize	VERB
cana-759	21	2	matrix	matrix	NOUN
cana-759	21	3	-	-	PUNCT
cana-759	21	4	geometric	geometric	ADJ
cana-759	21	5	and	and	CCONJ
cana-759	21	6	anfis	anfis	ADJ
cana-759	21	7	methods	method	NOUN
cana-759	21	8	,	,	PUNCT
cana-759	21	9	computational	computational	ADJ
cana-759	21	10	findings	finding	NOUN
cana-759	21	11	are	be	AUX
cana-759	21	12	offered	offer	VERB
cana-759	21	13	to	to	PART
cana-759	21	14	assess	assess	VERB
cana-759	21	15	the	the	DET
cana-759	21	16	depth	depth	NOUN
cana-759	21	17	of	of	ADP
cana-759	21	18	the	the	DET
cana-759	21	19	adaptive	adaptive	ADJ
cana-759	21	20	neural	neural	ADJ
cana-759	21	21	fuzzy	fuzzy	ADJ
cana-759	21	22	inference	inference	NOUN
cana-759	21	23	system	system	NOUN
cana-759	21	24	.	.	PUNCT
cana-759	22	1	the	the	DET
cana-759	22	2	fundamental	fundamental	ADJ
cana-759	22	3	ideas	idea	NOUN
cana-759	22	4	of	of	ADP
cana-759	22	5	queueing	queue	VERB
cana-759	22	6	theory	theory	NOUN
cana-759	22	7	were	be	AUX
cana-759	22	8	described	describe	VERB
cana-759	22	9	by	by	ADP
cana-759	22	10	binary	binary	PROPN
cana-759	22	11	kumar	kumar	PROPN
cana-759	23	1	[	[	X
cana-759	23	2	6	6	NUM
cana-759	23	3	]	]	PUNCT
cana-759	23	4	.	.	PUNCT
cana-759	24	1	a	a	DET
cana-759	24	2	bulk	bulk	ADJ
cana-759	24	3	arrival	arrival	NOUN
cana-759	24	4	poisson	poisson	NOUN
cana-759	24	5	with	with	ADP
cana-759	24	6	vacation	vacation	NOUN
cana-759	24	7	was	be	AUX
cana-759	24	8	the	the	DET
cana-759	24	9	focus	focus	NOUN
cana-759	24	10	of	of	ADP
cana-759	24	11	research	research	NOUN
cana-759	24	12	by	by	ADP
cana-759	24	13	borthakur	borthakur	NOUN
cana-759	24	14	,	,	PUNCT
cana-759	24	15	a.	a.	PROPN
cana-759	24	16	choudhury	choudhury	PROPN
cana-759	25	1	[	[	X
cana-759	25	2	7	7	NUM
cana-759	25	3	]	]	PUNCT
cana-759	25	4	,	,	PUNCT
cana-759	25	5	g.madan	g.madan	PROPN
cana-759	25	6	and	and	CCONJ
cana-759	25	7	gautam	gautam	PROPN
cana-759	25	8	choudhury[8]a	choudhury[8]a	VERB
cana-759	25	9	two	two	NUM
cana-759	25	10	phase	phase	NOUN
cana-759	25	11	bulk	bulk	NOUN
cana-759	25	12	arrival	arrival	NOUN
cana-759	25	13	queueing	queue	VERB
cana-759	25	14	with	with	ADP
cana-759	25	15	vacation	vacation	NOUN
cana-759	25	16	under	under	ADP
cana-759	25	17	bernoulli	bernoulli	NOUN
cana-759	25	18	schedule	schedule	NOUN
cana-759	25	19	was	be	AUX
cana-759	25	20	introduced	introduce	VERB
cana-759	25	21	by	by	ADP
cana-759	25	22	k.c.madan	k.c.madan	PROPN
cana-759	25	23	.	.	PUNCT
cana-759	26	1	oliver	oliver	PROPN
cana-759	26	2	c.	c.	PROPN
cana-759	26	3	ibe	ibe	PROPN
cana-759	26	4	,	,	PUNCT
cana-759	26	5	[	[	X
cana-759	26	6	9	9	NUM
cana-759	26	7	]	]	PUNCT
cana-759	26	8	considered	consider	VERB
cana-759	26	9	it	it	PRON
cana-759	26	10	as	as	ADP
cana-759	26	11	a	a	DET
cana-759	26	12	multiple	multiple	ADJ
cana-759	26	13	vacation	vacation	NOUN
cana-759	26	14	line	line	NOUN
cana-759	26	15	system	system	NOUN
cana-759	26	16	with	with	ADP
cana-759	26	17	separated	separate	VERB
cana-759	26	18	vacations	vacation	NOUN
cana-759	26	19	.	.	PUNCT
cana-759	27	1	j.li	j.li	NOUN
cana-759	27	2	,	,	PUNCT
cana-759	27	3	w.liu	w.liu	VERB
cana-759	27	4	[	[	PUNCT
cana-759	27	5	10	10	NUM
cana-759	27	6	]	]	PUNCT
cana-759	27	7	,	,	PUNCT
cana-759	27	8	initiated	initiate	VERB
cana-759	27	9	steady	steady	ADJ
cana-759	27	10	state	state	NOUN
cana-759	27	11	analysis	analysis	NOUN
cana-759	27	12	of	of	ADP
cana-759	27	13	a	a	DET
cana-759	27	14	discrete	discrete	ADJ
cana-759	27	15	bulk	bulk	ADJ
cana-759	27	16	arrival	arrival	NOUN
cana-759	27	17	with	with	ADP
cana-759	27	18	operating	operate	VERB
cana-759	27	19	vacations.a.d.banik	vacations.a.d.banik	X
cana-759	28	1	[	[	X
cana-759	28	2	11	11	NUM
cana-759	28	3	]	]	PUNCT
cana-759	28	4	modelled	model	VERB
cana-759	28	5	g1	g1	NOUN
cana-759	28	6	/	/	SYM
cana-759	28	7	m/1	m/1	NUM
cana-759	28	8	/	/	SYM
cana-759	28	9	n	n	PRON
cana-759	28	10	queue	queue	NOUN
cana-759	28	11	with	with	ADP
cana-759	28	12	various	various	ADJ
cana-759	28	13	operating	operating	NOUN
cana-759	28	14	vacations.b.deepa	vacations.b.deepa	PROPN
cana-759	28	15	and	and	CCONJ
cana-759	28	16	k.kalidass	k.kalidass	NOUN
cana-759	28	17	[	[	X
cana-759	28	18	12	12	NUM
cana-759	28	19	]	]	PUNCT
cana-759	28	20	viewed	view	VERB
cana-759	28	21	a	a	DET
cana-759	28	22	single	single	ADJ
cana-759	28	23	server	server	NOUN
cana-759	28	24	queueing	queue	VERB
cana-759	28	25	model	model	NOUN
cana-759	28	26	with	with	ADP
cana-759	28	27	operating	operate	VERB
cana-759	28	28	communications	communication	NOUN
cana-759	28	29	on	on	ADP
cana-759	28	30	applied	apply	VERB
cana-759	28	31	nonlinear	nonlinear	ADJ
cana-759	28	32	analysis	analysis	NOUN
cana-759	28	33	issn	issn	NOUN
cana-759	28	34	:	:	PUNCT
cana-759	28	35	1074	1074	NUM
cana-759	28	36	-	-	PUNCT
cana-759	28	37	133x	133x	NUM
cana-759	28	38	vol	vol	NOUN
cana-759	28	39	31	31	NUM
cana-759	28	40	no	no	NOUN
cana-759	28	41	.	.	PUNCT
cana-759	29	1	3s	3s	NUM
cana-759	29	2	(	(	PUNCT
cana-759	29	3	2024	2024	NUM
cana-759	29	4	)	)	PUNCT
cana-759	29	5	198	198	NUM
cana-759	29	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	29	7	breakdowns	breakdown	NOUN
cana-759	29	8	and	and	CCONJ
cana-759	29	9	vacations	vacation	NOUN
cana-759	29	10	.k.v.vijayashree[13	.k.v.vijayashree[13	NOUN
cana-759	29	11	]	]	PUNCT
cana-759	29	12	considered	consider	VERB
cana-759	29	13	a	a	DET
cana-759	29	14	single	single	ADJ
cana-759	29	15	server	server	NOUN
cana-759	29	16	queueing	queue	VERB
cana-759	29	17	line	line	NOUN
cana-759	29	18	model	model	NOUN
cana-759	29	19	and	and	CCONJ
cana-759	29	20	separated	separate	VERB
cana-759	29	21	vacation	vacation	NOUN
cana-759	29	22	and	and	CCONJ
cana-759	29	23	disturbance	disturbance	NOUN
cana-759	29	24	.zhang.m	.zhang.m	PUNCT
cana-759	30	1	[	[	X
cana-759	30	2	14	14	NUM
cana-759	30	3	]	]	PUNCT
cana-759	30	4	searched	search	VERB
cana-759	30	5	the	the	DET
cana-759	30	6	appearance	appearance	NOUN
cana-759	30	7	of	of	ADP
cana-759	30	8	only	only	ADV
cana-759	30	9	one	one	NUM
cana-759	30	10	server	server	NOUN
cana-759	30	11	queue	queue	NOUN
cana-759	30	12	with	with	ADP
cana-759	30	13	operating	operating	NOUN
cana-759	30	14	vacations	vacation	NOUN
cana-759	30	15	and	and	CCONJ
cana-759	30	16	vacation	vacation	NOUN
cana-759	30	17	disturbance	disturbance	NOUN
cana-759	30	18	.	.	PUNCT
cana-759	31	1	ganesh	ganesh	NOUN
cana-759	31	2	sapkota	sapkota	NOUN
cana-759	32	1	[	[	X
cana-759	32	2	15	15	NUM
cana-759	32	3	]	]	PUNCT
cana-759	32	4	modelled	model	VERB
cana-759	32	5	the	the	DET
cana-759	32	6	transient	transient	ADJ
cana-759	32	7	state	state	NOUN
cana-759	32	8	of	of	ADP
cana-759	32	9	the	the	DET
cana-759	32	10	m	m	PROPN
cana-759	32	11	/	/	SYM
cana-759	32	12	m	m	PROPN
cana-759	32	13	/	/	SYM
cana-759	32	14	c	c	NOUN
cana-759	32	15	queueing	queue	VERB
cana-759	32	16	line	line	NOUN
cana-759	32	17	model	model	NOUN
cana-759	32	18	with	with	ADP
cana-759	32	19	a	a	DET
cana-759	32	20	standby	standby	ADJ
cana-759	32	21	server	server	NOUN
cana-759	32	22	and	and	CCONJ
cana-759	32	23	reneging	renege	VERB
cana-759	32	24	customers	customer	NOUN
cana-759	32	25	.	.	PUNCT
cana-759	33	1	ammar	ammar	PROPN
cana-759	33	2	,	,	PUNCT
cana-759	33	3	s.	s.	PROPN
cana-759	33	4	i	i	PRON
cana-759	34	1	[	[	X
cana-759	34	2	16	16	NUM
cana-759	34	3	]	]	PUNCT
cana-759	34	4	modelled	model	VERB
cana-759	34	5	transient	transient	ADJ
cana-759	34	6	state	state	NOUN
cana-759	34	7	of	of	ADP
cana-759	34	8	a	a	DET
cana-759	34	9	one	one	NUM
cana-759	34	10	server	server	NOUN
cana-759	34	11	vacation	vacation	NOUN
cana-759	34	12	queue	queue	NOUN
cana-759	34	13	with	with	ADP
cana-759	34	14	a	a	DET
cana-759	34	15	waiting	wait	VERB
cana-759	34	16	server	server	NOUN
cana-759	34	17	and	and	CCONJ
cana-759	34	18	restless	restless	ADJ
cana-759	34	19	customers	customer	NOUN
cana-759	34	20	.	.	PUNCT
cana-759	35	1	gupta	gupta	NOUN
cana-759	36	1	[	[	X
cana-759	36	2	17	17	NUM
cana-759	36	3	]	]	PUNCT
cana-759	36	4	deals	deal	NOUN
cana-759	36	5	with	with	ADP
cana-759	36	6	two	two	NUM
cana-759	36	7	server	server	NOUN
cana-759	36	8	model	model	NOUN
cana-759	36	9	with	with	ADP
cana-759	36	10	operating	operate	VERB
cana-759	36	11	vacation	vacation	NOUN
cana-759	36	12	and	and	CCONJ
cana-759	36	13	reneging	reneging	NOUN
cana-759	36	14	of	of	ADP
cana-759	36	15	customers	customer	NOUN
cana-759	36	16	due	due	ADJ
cana-759	36	17	to	to	ADP
cana-759	36	18	impatience.v	impatience.v	PROPN
cana-759	36	19	.	.	PUNCT
cana-759	37	1	vijayalakshmi	vijayalakshmi	NOUN
cana-759	37	2	,	,	PUNCT
cana-759	37	3	b.deepa	b.deepa	PUNCT
cana-759	37	4	and	and	CCONJ
cana-759	37	5	k.kalidass[18	k.kalidass[18	PROPN
cana-759	37	6	]	]	X
cana-759	37	7	modelled	model	VERB
cana-759	37	8	cost	cost	NOUN
cana-759	37	9	of	of	ADP
cana-759	37	10	single	single	ADJ
cana-759	37	11	server	server	NOUN
cana-759	37	12	queue	queue	NOUN
cana-759	37	13	line	line	NOUN
cana-759	37	14	with	with	ADP
cana-759	37	15	operating	operating	NOUN
cana-759	37	16	breakdowns	breakdown	NOUN
cana-759	37	17	using	use	VERB
cana-759	37	18	two	two	NUM
cana-759	37	19	–	–	PUNCT
cana-759	37	20	phase	phase	NOUN
cana-759	37	21	services	service	NOUN
cana-759	37	22	.	.	PUNCT
cana-759	38	1	the	the	DET
cana-759	38	2	layout	layout	NOUN
cana-759	38	3	of	of	ADP
cana-759	38	4	the	the	DET
cana-759	38	5	paper	paper	NOUN
cana-759	38	6	is	be	AUX
cana-759	38	7	described	describe	VERB
cana-759	38	8	as	as	ADP
cana-759	38	9	follows	follow	VERB
cana-759	38	10	,	,	PUNCT
cana-759	38	11	the	the	DET
cana-759	38	12	model	model	NOUN
cana-759	38	13	considered	consider	VERB
cana-759	38	14	here	here	ADV
cana-759	38	15	is	be	AUX
cana-759	38	16	presented	present	VERB
cana-759	38	17	in	in	ADP
cana-759	38	18	full	full	ADJ
cana-759	38	19	detail	detail	NOUN
cana-759	38	20	in	in	ADP
cana-759	38	21	section	section	NOUN
cana-759	38	22	2	2	NUM
cana-759	38	23	.	.	PUNCT
cana-759	39	1	the	the	DET
cana-759	39	2	analysis	analysis	NOUN
cana-759	39	3	in	in	ADP
cana-759	39	4	steady	steady	ADJ
cana-759	39	5	-	-	PUNCT
cana-759	39	6	state	state	NOUN
cana-759	39	7	of	of	ADP
cana-759	39	8	the	the	DET
cana-759	39	9	proposed	propose	VERB
cana-759	39	10	model	model	NOUN
cana-759	39	11	is	be	AUX
cana-759	39	12	explained	explain	VERB
cana-759	39	13	in	in	ADP
cana-759	39	14	section	section	NOUN
cana-759	39	15	3	3	NUM
cana-759	39	16	.	.	PUNCT
cana-759	40	1	the	the	DET
cana-759	40	2	reliability	reliability	NOUN
cana-759	40	3	measures	measure	NOUN
cana-759	40	4	and	and	CCONJ
cana-759	40	5	performance	performance	NOUN
cana-759	40	6	measures	measure	NOUN
cana-759	40	7	are	be	AUX
cana-759	40	8	obtained	obtain	VERB
cana-759	40	9	in	in	ADP
cana-759	40	10	sections	section	NOUN
cana-759	40	11	4	4	NUM
cana-759	40	12	and	and	CCONJ
cana-759	40	13	5	5	NUM
cana-759	40	14	.	.	X
cana-759	41	1	some	some	DET
cana-759	41	2	illustrative	illustrative	ADJ
cana-759	41	3	numerical	numerical	ADJ
cana-759	41	4	examples	example	NOUN
cana-759	41	5	to	to	PART
cana-759	41	6	point	point	VERB
cana-759	41	7	out	out	ADP
cana-759	41	8	the	the	DET
cana-759	41	9	effects	effect	NOUN
cana-759	41	10	of	of	ADP
cana-759	41	11	the	the	DET
cana-759	41	12	server	server	NOUN
cana-759	41	13	are	be	AUX
cana-759	41	14	presented	present	VERB
cana-759	41	15	in	in	ADP
cana-759	41	16	section	section	NOUN
cana-759	41	17	6	6	NUM
cana-759	41	18	.	.	PUNCT
cana-759	42	1	a	a	DET
cana-759	42	2	cost	cost	NOUN
cana-759	42	3	optimization	optimization	NOUN
cana-759	42	4	problem	problem	NOUN
cana-759	42	5	is	be	AUX
cana-759	42	6	discussed	discuss	VERB
cana-759	42	7	in	in	ADP
cana-759	42	8	section	section	NOUN
cana-759	42	9	7	7	NUM
cana-759	42	10	and	and	CCONJ
cana-759	42	11	a	a	DET
cana-759	42	12	few	few	ADJ
cana-759	42	13	concluding	concluding	NOUN
cana-759	42	14	remarks	remark	NOUN
cana-759	42	15	are	be	AUX
cana-759	42	16	given	give	VERB
cana-759	42	17	in	in	ADP
cana-759	42	18	section	section	NOUN
cana-759	42	19	8	8	NUM
cana-759	42	20	.	.	NOUN
cana-759	43	1	2	2	NUM
cana-759	43	2	.	.	X
cana-759	43	3	the	the	DET
cana-759	43	4	model	model	NOUN
cana-759	43	5	:	:	PUNCT
cana-759	43	6	here	here	ADV
cana-759	43	7	a	a	DET
cana-759	43	8	fixed	fix	VERB
cana-759	43	9	batch	batch	NOUN
cana-759	43	10	-	-	PUNCT
cana-759	43	11	sized	sized	ADJ
cana-759	43	12	markovian	markovian	ADJ
cana-759	43	13	model	model	NOUN
cana-759	43	14	with	with	ADP
cana-759	43	15	two	two	NUM
cana-759	43	16	non	non	ADJ
cana-759	43	17	identical	identical	ADJ
cana-759	43	18	vacation	vacation	NOUN
cana-759	43	19	schemes	scheme	NOUN
cana-759	43	20	is	be	AUX
cana-759	43	21	being	be	AUX
cana-759	43	22	considered	consider	VERB
cana-759	43	23	.	.	PUNCT
cana-759	44	1	the	the	DET
cana-759	44	2	arrival	arrival	NOUN
cana-759	44	3	unit	unit	NOUN
cana-759	44	4	follows	follow	VERB
cana-759	44	5	the	the	DET
cana-759	44	6	distribution	distribution	NOUN
cana-759	44	7	is	be	AUX
cana-759	44	8	poisson	poisson	NOUN
cana-759	44	9	with	with	ADP
cana-759	44	10	an	an	DET
cana-759	44	11	arrival	arrival	NOUN
cana-759	44	12	rate	rate	NOUN
cana-759	44	13	λ	λ	PROPN
cana-759	44	14	and	and	CCONJ
cana-759	44	15	server	server	NOUN
cana-759	44	16	is	be	AUX
cana-759	44	17	serving	serve	VERB
cana-759	44	18	the	the	DET
cana-759	44	19	arrival	arrival	NOUN
cana-759	44	20	unit	unit	NOUN
cana-759	44	21	comes	come	VERB
cana-759	44	22	the	the	DET
cana-759	44	23	distribution	distribution	NOUN
cana-759	44	24	of	of	ADP
cana-759	44	25	exponentially	exponentially	ADV
cana-759	44	26	distributed	distribute	VERB
cana-759	44	27	independent	independent	ADJ
cana-759	44	28	and	and	CCONJ
cana-759	44	29	identically	identically	ADV
cana-759	44	30	distributed	distribute	VERB
cana-759	44	31	random	random	ADJ
cana-759	44	32	variable	variable	NOUN
cana-759	44	33	with	with	ADP
cana-759	44	34	a	a	DET
cana-759	44	35	rate	rate	NOUN
cana-759	44	36	µ.	µ.	NOUN
cana-759	44	37	the	the	DET
cana-759	44	38	arrival	arrival	NOUN
cana-759	44	39	flow	flow	NOUN
cana-759	44	40	of	of	ADP
cana-759	44	41	customers	customer	NOUN
cana-759	44	42	enters	enter	VERB
cana-759	44	43	the	the	DET
cana-759	44	44	system	system	NOUN
cana-759	44	45	in	in	ADP
cana-759	44	46	the	the	DET
cana-759	44	47	way	way	NOUN
cana-759	44	48	of	of	ADP
cana-759	44	49	batches	batch	NOUN
cana-759	44	50	/	/	SYM
cana-759	44	51	bulks	bulk	NOUN
cana-759	44	52	.	.	PUNCT
cana-759	45	1	the	the	DET
cana-759	45	2	capacity	capacity	NOUN
cana-759	45	3	of	of	ADP
cana-759	45	4	batches	batch	NOUN
cana-759	45	5	is	be	AUX
cana-759	45	6	a	a	DET
cana-759	45	7	random	random	ADJ
cana-759	45	8	variable	variable	NOUN
cana-759	45	9	x	x	PUNCT
cana-759	45	10	of	of	ADP
cana-759	45	11	positive	positive	ADJ
cana-759	45	12	or	or	CCONJ
cana-759	45	13	neutral	neutral	ADJ
cana-759	45	14	values	value	NOUN
cana-759	45	15	with	with	ADP
cana-759	45	16	a	a	DET
cana-759	45	17	probability	probability	NOUN
cana-759	45	18	distribution	distribution	NOUN
cana-759	45	19	ℎ𝑖	ℎ𝑖	NOUN
cana-759	45	20	=	=	PUNCT
cana-759	45	21	𝑃𝑟{𝑋	𝑃𝑟{𝑋	PROPN
cana-759	45	22	=	=	SYM
cana-759	45	23	𝑖	𝑖	PROPN
cana-759	45	24	}	}	PUNCT
cana-759	45	25	,	,	PUNCT
cana-759	45	26	𝑖	𝑖	PRON
cana-759	45	27	≥	≥	NOUN
cana-759	45	28	1	1	NUM
cana-759	45	29	.	.	PUNCT
cana-759	45	30	when	when	SCONJ
cana-759	45	31	there	there	PRON
cana-759	45	32	are	be	VERB
cana-759	45	33	zero	zero	NUM
cana-759	45	34	customers	customer	NOUN
cana-759	45	35	in	in	ADP
cana-759	45	36	the	the	DET
cana-759	45	37	system	system	NOUN
cana-759	45	38	,	,	PUNCT
cana-759	45	39	the	the	DET
cana-759	45	40	server	server	NOUN
cana-759	45	41	leaves	leave	VERB
cana-759	45	42	for	for	ADP
cana-759	45	43	a	a	DET
cana-759	45	44	primary	primary	ADJ
cana-759	45	45	vacation	vacation	NOUN
cana-759	45	46	at	at	ADP
cana-759	45	47	a	a	DET
cana-759	45	48	rate	rate	NOUN
cana-759	45	49	𝑟1	𝑟1	NOUN
cana-759	45	50	for	for	ADP
cana-759	45	51	a	a	DET
cana-759	45	52	certain	certain	ADJ
cana-759	45	53	period	period	NOUN
cana-759	45	54	of	of	ADP
cana-759	45	55	time	time	NOUN
cana-759	45	56	.	.	PUNCT
cana-759	46	1	upon	upon	SCONJ
cana-759	46	2	return	return	NOUN
cana-759	46	3	from	from	ADP
cana-759	46	4	a	a	DET
cana-759	46	5	primary	primary	ADJ
cana-759	46	6	vacation	vacation	NOUN
cana-759	46	7	,	,	PUNCT
cana-759	46	8	if	if	SCONJ
cana-759	46	9	the	the	DET
cana-759	46	10	server	server	NOUN
cana-759	46	11	finds	find	VERB
cana-759	46	12	zero	zero	NUM
cana-759	46	13	customers	customer	NOUN
cana-759	46	14	in	in	ADP
cana-759	46	15	the	the	DET
cana-759	46	16	system	system	NOUN
cana-759	46	17	,	,	PUNCT
cana-759	46	18	the	the	DET
cana-759	46	19	server	server	NOUN
cana-759	46	20	leaves	leave	VERB
cana-759	46	21	for	for	ADP
cana-759	46	22	another	another	DET
cana-759	46	23	vacation	vacation	NOUN
cana-759	46	24	named	name	VERB
cana-759	46	25	as	as	ADP
cana-759	46	26	a	a	DET
cana-759	46	27	secondary	secondary	ADJ
cana-759	46	28	vacation	vacation	NOUN
cana-759	46	29	at	at	ADP
cana-759	46	30	rate	rate	NOUN
cana-759	46	31	𝑟2	𝑟2	NOUN
cana-759	46	32	.	.	PUNCT
cana-759	47	1	however	however	ADV
cana-759	47	2	,	,	PUNCT
cana-759	47	3	the	the	DET
cana-759	47	4	server	server	NOUN
cana-759	47	5	is	be	AUX
cana-759	47	6	from	from	ADP
cana-759	47	7	the	the	DET
cana-759	47	8	secondary	secondary	ADJ
cana-759	47	9	vacation	vacation	NOUN
cana-759	47	10	then	then	ADV
cana-759	47	11	continue	continue	VERB
cana-759	47	12	the	the	DET
cana-759	47	13	service	service	NOUN
cana-759	47	14	in	in	ADP
cana-759	47	15	normal	normal	ADJ
cana-759	47	16	state	state	NOUN
cana-759	47	17	,	,	PUNCT
cana-759	47	18	and	and	CCONJ
cana-759	47	19	it	it	PRON
cana-759	47	20	will	will	AUX
cana-759	47	21	not	not	PART
cana-759	47	22	go	go	VERB
cana-759	47	23	for	for	ADP
cana-759	47	24	vacation	vacation	NOUN
cana-759	47	25	again	again	ADV
cana-759	47	26	.	.	PUNCT
cana-759	48	1	the	the	DET
cana-759	48	2	arrival	arrival	NOUN
cana-759	48	3	,	,	PUNCT
cana-759	48	4	service	service	NOUN
cana-759	48	5	,	,	PUNCT
cana-759	48	6	and	and	CCONJ
cana-759	48	7	vacation	vacation	NOUN
cana-759	48	8	periods	period	NOUN
cana-759	48	9	are	be	AUX
cana-759	48	10	independent	independent	ADJ
cana-759	48	11	random	random	ADJ
cana-759	48	12	variables	variable	NOUN
cana-759	48	13	of	of	ADP
cana-759	48	14	each	each	DET
cana-759	48	15	other	other	ADJ
cana-759	48	16	.	.	PUNCT
cana-759	49	1	let	let	AUX
cana-759	49	2	b(t	b(t	PROPN
cana-759	49	3	)	)	PUNCT
cana-759	49	4	be	be	AUX
cana-759	49	5	state	state	NOUN
cana-759	49	6	of	of	ADP
cana-759	49	7	the	the	DET
cana-759	49	8	server	server	NOUN
cana-759	49	9	at	at	ADP
cana-759	49	10	t(time	t(time	NOUN
cana-759	49	11	)	)	PUNCT
cana-759	49	12	,	,	PUNCT
cana-759	49	13	𝐵(𝑡	𝐵(𝑡	NOUN
cana-759	49	14	)	)	PUNCT
cana-759	49	15	=	=	PRON
cana-759	49	16	{	{	PUNCT
cana-759	49	17	0	0	NUM
cana-759	49	18	,	,	PUNCT
cana-759	49	19	𝑡ℎ𝑒	𝑡ℎ𝑒	ADJ
cana-759	49	20	𝑠𝑒𝑟𝑣𝑒𝑟	𝑠𝑒𝑟𝑣𝑒𝑟	NOUN
cana-759	49	21	𝑖𝑛	𝑖𝑛	PROPN
cana-759	49	22	𝑛𝑜𝑟𝑚𝑎𝑙	𝑛𝑜𝑟𝑚𝑎𝑙	PROPN
cana-759	49	23	1	1	NUM
cana-759	49	24	,	,	PUNCT
cana-759	49	25	𝑡ℎ𝑒	𝑡ℎ𝑒	ADJ
cana-759	49	26	𝑠𝑒𝑟𝑣𝑒𝑟	𝑠𝑒𝑟𝑣𝑒𝑟	NOUN
cana-759	49	27	𝑖𝑛	𝑖𝑛	PRON
cana-759	49	28	𝑝𝑟𝑖𝑚𝑎𝑟𝑦	𝑝𝑟𝑖𝑚𝑎𝑟𝑦	PROPN
cana-759	49	29	𝑣𝑎𝑐𝑎𝑡𝑖𝑜𝑛	𝑣𝑎𝑐𝑎𝑡𝑖𝑜𝑛	ADP
cana-759	49	30	𝑠𝑡𝑎𝑡𝑒	𝑠𝑡𝑎𝑡𝑒	ADJ
cana-759	49	31	2	2	NUM
cana-759	49	32	,	,	PUNCT
cana-759	49	33	𝑡ℎ𝑒	𝑡ℎ𝑒	ADJ
cana-759	49	34	𝑠𝑒𝑟𝑣𝑒𝑟	𝑠𝑒𝑟𝑣𝑒𝑟	NOUN
cana-759	49	35	𝑖𝑛	𝑖𝑛	PRON
cana-759	49	36	𝑠𝑒𝑐𝑜𝑛𝑑𝑎𝑟𝑦	𝑠𝑒𝑐𝑜𝑛𝑑𝑎𝑟𝑦	PROPN
cana-759	49	37	𝑣𝑎𝑐𝑎𝑡𝑖𝑜𝑛	𝑣𝑎𝑐𝑎𝑡𝑖𝑜𝑛	DET
cana-759	49	38	𝑠𝑡𝑎𝑡𝑒	𝑠𝑡𝑎𝑡𝑒	NOUN
cana-759	49	39	let	let	VERB
cana-759	49	40	x(t	x(t	PROPN
cana-759	49	41	)	)	PUNCT
cana-759	49	42	be	be	VERB
cana-759	49	43	the	the	DET
cana-759	49	44	count	count	NOUN
cana-759	49	45	of	of	ADP
cana-759	49	46	consumers	consumer	NOUN
cana-759	49	47	attending	attend	VERB
cana-759	49	48	in	in	ADP
cana-759	49	49	the	the	DET
cana-759	49	50	system	system	NOUN
cana-759	49	51	at	at	ADP
cana-759	49	52	t(time	t(time	NOUN
cana-759	49	53	)	)	PUNCT
cana-759	49	54	.	.	PUNCT
cana-759	50	1	then	then	ADV
cana-759	50	2	{	{	PUNCT
cana-759	50	3	(	(	PUNCT
cana-759	50	4	𝐵(𝑡	𝐵(𝑡	NOUN
cana-759	50	5	)	)	PUNCT
cana-759	50	6	,	,	PUNCT
cana-759	50	7	𝑋(𝑡	𝑋(𝑡	PROPN
cana-759	50	8	)	)	PUNCT
cana-759	50	9	)	)	PUNCT
cana-759	50	10	,	,	PUNCT
cana-759	50	11	𝑡	𝑡	PROPN
cana-759	50	12	≥	≥	NOUN
cana-759	50	13	0	0	NUM
cana-759	50	14	}	}	PUNCT
cana-759	50	15	is	be	AUX
cana-759	50	16	considered	consider	VERB
cana-759	50	17	a	a	DET
cana-759	50	18	continuous	continuous	ADJ
cana-759	50	19	time	time	NOUN
cana-759	50	20	markov	markov	NOUN
cana-759	50	21	chain	chain	NOUN
cana-759	50	22	.	.	PUNCT
cana-759	51	1	let	let	VERB
cana-759	51	2	𝑃𝑖,𝑛(𝑡	𝑃𝑖,𝑛(𝑡	NOUN
cana-759	51	3	)	)	PUNCT
cana-759	51	4	=	=	SYM
cana-759	51	5	𝑃𝑟𝑜𝑏{𝐵(𝑡	𝑃𝑟𝑜𝑏{𝐵(𝑡	NOUN
cana-759	51	6	)	)	PUNCT
cana-759	51	7	=	=	SYM
cana-759	51	8	𝑖	𝑖	PROPN
cana-759	51	9	,	,	PUNCT
cana-759	51	10	𝑋(𝑡	𝑋(𝑡	PROPN
cana-759	51	11	)	)	PUNCT
cana-759	51	12	=	=	SYM
cana-759	51	13	𝑛	𝑛	PROPN
cana-759	51	14	}	}	PUNCT
cana-759	51	15	,	,	PUNCT
cana-759	51	16	𝑛	𝑛	DET
cana-759	51	17	≥	≥	NOUN
cana-759	51	18	0,𝑖	0,𝑖	NOUN
cana-759	51	19	=	=	PUNCT
cana-759	52	1	0,1,2	0,1,2	NUM
cana-759	52	2	3	3	NUM
cana-759	52	3	.	.	PUNCT
cana-759	52	4	steady	steady	ADJ
cana-759	52	5	state	state	NOUN
cana-759	52	6	analysis	analysis	NOUN
cana-759	52	7	the	the	DET
cana-759	52	8	steady	steady	ADJ
cana-759	52	9	state	state	NOUN
cana-759	52	10	governing	govern	VERB
cana-759	52	11	equations	equation	NOUN
cana-759	52	12	are	be	AUX
cana-759	52	13	derived	derive	VERB
cana-759	52	14	as	as	ADP
cana-759	52	15	𝜆𝑃2,0	𝜆𝑃2,0	PROPN
cana-759	52	16	=	=	NOUN
cana-759	52	17	𝑟1𝑃1,0	𝑟1𝑃1,0	NOUN
cana-759	52	18	,	,	PUNCT
cana-759	52	19	𝑛	𝑛	PROPN
cana-759	52	20	=	=	PUNCT
cana-759	52	21	0	0	PUNCT
cana-759	53	1	_	_	PUNCT
cana-759	54	1	_	_	PUNCT
cana-759	55	1	_	_	PUNCT
cana-759	56	1	_	_	PUNCT
cana-759	57	1	_	_	PUNCT
cana-759	58	1	_	_	PUNCT
cana-759	59	1	_	_	PUNCT
cana-759	60	1	_	_	PUNCT
cana-759	61	1	_	_	PUNCT
cana-759	61	2	(	(	PUNCT
cana-759	61	3	1	1	NUM
cana-759	61	4	)	)	PUNCT
cana-759	61	5	(	(	PUNCT
cana-759	61	6	𝑟2	𝑟2	NOUN
cana-759	61	7	+	+	CCONJ
cana-759	61	8	𝜆)𝑃2,𝑛	𝜆)𝑃2,𝑛	PROPN
cana-759	61	9	=	=	SYM
cana-759	61	10	𝜆	𝜆	PRON
cana-759	61	11	∑	∑	PROPN
cana-759	61	12	ℎ𝑖	ℎ𝑖	NOUN
cana-759	61	13	𝑃2,𝑛−1	𝑃2,𝑛−1	NOUN
cana-759	61	14	,	,	PUNCT
cana-759	61	15	𝑛	𝑛	DET
cana-759	61	16	≥	≥	NOUN
cana-759	62	1	1	1	NUM
cana-759	62	2	_	_	PUNCT
cana-759	63	1	_	_	PUNCT
cana-759	64	1	_	_	PUNCT
cana-759	65	1	_	_	PUNCT
cana-759	66	1	_	_	PUNCT
cana-759	67	1	_	_	PUNCT
cana-759	68	1	_	_	PUNCT
cana-759	69	1	_	_	PUNCT
cana-759	69	2	(	(	PUNCT
cana-759	69	3	2	2	NUM
cana-759	69	4	)	)	PUNCT
cana-759	69	5	𝑛	𝑛	DET
cana-759	69	6	𝑖=1	𝑖=1	PROPN
cana-759	69	7	∴	∴	PROPN
cana-759	69	8	(	(	PUNCT
cana-759	69	9	𝜆	𝜆	PROPN
cana-759	69	10	+	+	CCONJ
cana-759	69	11	𝜇)𝑃0,1	𝜇)𝑃0,1	NOUN
cana-759	69	12	=	=	NOUN
cana-759	69	13	𝜇𝑃0,2	𝜇𝑃0,2	NOUN
cana-759	69	14	+	+	CCONJ
cana-759	69	15	𝑟1𝑃1,1	𝑟1𝑃1,1	NOUN
cana-759	69	16	+	+	CCONJ
cana-759	69	17	𝑟2𝑃2,1	𝑟2𝑃2,1	NOUN
cana-759	69	18	,	,	PUNCT
cana-759	69	19	𝑛	𝑛	NOUN
cana-759	69	20	=	=	PUNCT
cana-759	69	21	1	1	NUM
cana-759	69	22	_	_	PUNCT
cana-759	70	1	_	_	PUNCT
cana-759	71	1	_	_	PUNCT
cana-759	72	1	_	_	PUNCT
cana-759	73	1	_	_	PUNCT
cana-759	74	1	_	_	PUNCT
cana-759	75	1	_	_	PUNCT
cana-759	76	1	_	_	PUNCT
cana-759	76	2	(	(	PUNCT
cana-759	76	3	3	3	X
cana-759	76	4	)	)	PUNCT
cana-759	76	5	communications	communication	NOUN
cana-759	76	6	on	on	ADP
cana-759	76	7	applied	apply	VERB
cana-759	76	8	nonlinear	nonlinear	ADJ
cana-759	76	9	analysis	analysis	NOUN
cana-759	76	10	issn	issn	NOUN
cana-759	76	11	:	:	PUNCT
cana-759	76	12	1074	1074	NUM
cana-759	76	13	-	-	PUNCT
cana-759	76	14	133x	133x	NUM
cana-759	76	15	vol	vol	NOUN
cana-759	76	16	31	31	NUM
cana-759	76	17	no	no	NOUN
cana-759	76	18	.	.	PUNCT
cana-759	77	1	3s	3s	NUM
cana-759	77	2	(	(	PUNCT
cana-759	77	3	2024	2024	NUM
cana-759	77	4	)	)	PUNCT
cana-759	77	5	199	199	NUM
cana-759	77	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	77	7	∴	∴	NOUN
cana-759	77	8	(	(	PUNCT
cana-759	77	9	𝜆	𝜆	PROPN
cana-759	77	10	+	+	CCONJ
cana-759	77	11	𝜇)𝑃0,𝑛	𝜇)𝑃0,𝑛	NOUN
cana-759	77	12	=	=	SYM
cana-759	77	13	𝜇𝑃0,𝑛+1	𝜇𝑃0,𝑛+1	PROPN
cana-759	77	14	+	+	CCONJ
cana-759	77	15	𝑟1𝑃1,𝑛	𝑟1𝑃1,𝑛	PUNCT
cana-759	77	16	+	+	NUM
cana-759	77	17	𝑟2𝑃2,𝑛	𝑟2𝑃2,𝑛	NUM
cana-759	77	18	+	+	NUM
cana-759	77	19	𝜆	𝜆	ADP
cana-759	77	20	∑	∑	PROPN
cana-759	77	21	ℎ𝑖	ℎ𝑖	PROPN
cana-759	77	22	𝑃0,𝑛−1	𝑃0,𝑛−1	PROPN
cana-759	77	23	,	,	PUNCT
cana-759	77	24	𝑛	𝑛	PROPN
cana-759	77	25	𝑖=1	𝑖=1	PUNCT
cana-759	77	26	𝑛	𝑛	ADJ
cana-759	77	27	≥	≥	NOUN
cana-759	77	28	2	2	NUM
cana-759	77	29	_	_	PUNCT
cana-759	78	1	_	_	PUNCT
cana-759	79	1	_	_	PUNCT
cana-759	80	1	_	_	PUNCT
cana-759	81	1	_	_	PUNCT
cana-759	82	1	_	_	PUNCT
cana-759	83	1	_	_	PUNCT
cana-759	83	2	(	(	PUNCT
cana-759	83	3	4	4	NUM
cana-759	83	4	)	)	PUNCT
cana-759	83	5	(	(	PUNCT
cana-759	83	6	𝜆	𝜆	X
cana-759	84	1	+	+	PUNCT
cana-759	84	2	𝑟1)𝑃1,0	𝑟1)𝑃1,0	NOUN
cana-759	84	3	=	=	NOUN
cana-759	84	4	𝜇𝑃0,1	𝜇𝑃0,1	ADV
cana-759	84	5	,	,	PUNCT
cana-759	84	6	𝑛	𝑛	NOUN
cana-759	84	7	=	=	PUNCT
cana-759	84	8	0	0	PUNCT
cana-759	85	1	_	_	PUNCT
cana-759	86	1	_	_	PUNCT
cana-759	87	1	_	_	PUNCT
cana-759	88	1	_	_	PUNCT
cana-759	89	1	_	_	PUNCT
cana-759	90	1	_	_	PUNCT
cana-759	91	1	_	_	PUNCT
cana-759	92	1	_	_	PUNCT
cana-759	92	2	(	(	PUNCT
cana-759	92	3	5	5	NUM
cana-759	92	4	)	)	PUNCT
cana-759	92	5	(	(	PUNCT
cana-759	92	6	𝜆	𝜆	X
cana-759	92	7	+	+	X
cana-759	92	8	𝑟1)𝑃1,𝑛	𝑟1)𝑃1,𝑛	X
cana-759	92	9	=	=	SYM
cana-759	92	10	𝜆	𝜆	PRON
cana-759	92	11	∑	∑	PROPN
cana-759	92	12	ℎ𝑖	ℎ𝑖	PROPN
cana-759	92	13	𝑃1,𝑛−1	𝑃1,𝑛−1	NOUN
cana-759	92	14	,	,	PUNCT
cana-759	92	15	𝑛	𝑛	PRON
cana-759	92	16	≥	≥	NOUN
cana-759	92	17	1	1	NUM
cana-759	92	18	_	_	PUNCT
cana-759	93	1	_	_	PUNCT
cana-759	94	1	_	_	PUNCT
cana-759	95	1	_	_	PUNCT
cana-759	96	1	_	_	PUNCT
cana-759	97	1	_	_	PUNCT
cana-759	98	1	_	_	PUNCT
cana-759	99	1	_	_	PUNCT
cana-759	100	1	_	_	PUNCT
cana-759	101	1	_	_	PUNCT
cana-759	101	2	(	(	PUNCT
cana-759	101	3	6	6	NUM
cana-759	101	4	)	)	PUNCT
cana-759	101	5	𝑛	𝑛	PRON
cana-759	101	6	𝑖=1	𝑖=1	PROPN
cana-759	101	7	probability	probability	NOUN
cana-759	101	8	generating	generating	NOUN
cana-759	101	9	function	function	NOUN
cana-759	101	10	is	be	AUX
cana-759	101	11	∑	∑	PROPN
cana-759	101	12	𝑃2,𝑛𝑧𝑛	𝑃2,𝑛𝑧𝑛	PROPN
cana-759	101	13	=	=	PUNCT
cana-759	101	14	𝑃2(𝑧	𝑃2(𝑧	NOUN
cana-759	101	15	)	)	PUNCT
cana-759	101	16	,	,	PUNCT
cana-759	101	17	∞	∞	NUM
cana-759	101	18	𝑛=0	𝑛=0	PROPN
cana-759	101	19	∑	∑	PROPN
cana-759	101	20	𝑃0,𝑛𝑧𝑛	𝑃0,𝑛𝑧𝑛	PROPN
cana-759	101	21	=	=	SYM
cana-759	101	22	𝑃0(𝑧	𝑃0(𝑧	PROPN
cana-759	101	23	)	)	PUNCT
cana-759	101	24	∞	∞	PROPN
cana-759	101	25	𝑛=1	𝑛=1	NOUN
cana-759	101	26	,	,	PUNCT
cana-759	101	27	∑	∑	PUNCT
cana-759	101	28	𝑃1,𝑛𝑧𝑛	𝑃1,𝑛𝑧𝑛	PROPN
cana-759	101	29	=	=	PUNCT
cana-759	101	30	𝑃1(𝑧)∞	𝑃1(𝑧)∞	ADP
cana-759	101	31	𝑛=0	𝑛=0	NOUN
cana-759	101	32	𝐻(𝑧	𝐻(𝑧	NUM
cana-759	101	33	)	)	PUNCT
cana-759	101	34	=	=	SYM
cana-759	101	35	∑	∑	PUNCT
cana-759	101	36	ℎ𝑛𝑧𝑛∞	ℎ𝑛𝑧𝑛∞	PROPN
cana-759	101	37	𝑛=1	𝑛=1	NOUN
cana-759	101	38	(	(	PUNCT
cana-759	101	39	𝜆	𝜆	X
cana-759	101	40	+	+	X
cana-759	101	41	𝑟2)𝑃2(𝑧	𝑟2)𝑃2(𝑧	NOUN
cana-759	101	42	)	)	PUNCT
cana-759	101	43	=	=	VERB
cana-759	102	1	𝑟2𝑃2,0	𝑟2𝑃2,0	VERB
cana-759	102	2	+	+	CCONJ
cana-759	102	3	𝑟1𝑃1,0	𝑟1𝑃1,0	ADJ
cana-759	102	4	+	+	NUM
cana-759	102	5	𝜆𝐻(𝑧)𝑃2(𝑧	𝜆𝐻(𝑧)𝑃2(𝑧	NOUN
cana-759	102	6	)	)	PUNCT
cana-759	103	1	_	_	PUNCT
cana-759	104	1	_	_	PUNCT
cana-759	105	1	_	_	PUNCT
cana-759	106	1	_	_	PUNCT
cana-759	107	1	_	_	PUNCT
cana-759	108	1	_	_	PUNCT
cana-759	109	1	_	_	PUNCT
cana-759	110	1	_	_	PUNCT
cana-759	111	1	_	_	PUNCT
cana-759	111	2	(	(	PUNCT
cana-759	111	3	7	7	NUM
cana-759	111	4	)	)	PUNCT
cana-759	111	5	𝑃2(𝑧	𝑃2(𝑧	NOUN
cana-759	111	6	)	)	PUNCT
cana-759	111	7	=	=	PUNCT
cana-759	111	8	𝑟1𝑃1,0	𝑟1𝑃1,0	NOUN
cana-759	112	1	+	+	CCONJ
cana-759	112	2	𝑟2𝑃2,0	𝑟2𝑃2,0	NOUN
cana-759	112	3	𝜆(1	𝜆(1	NUM
cana-759	112	4	−	−	PROPN
cana-759	112	5	𝐻(𝑧	𝐻(𝑧	NUM
cana-759	112	6	)	)	PUNCT
cana-759	112	7	)	)	PUNCT
cana-759	113	1	+	+	CCONJ
cana-759	113	2	𝑟2	𝑟2	NOUN
cana-759	113	3	_	_	PUNCT
cana-759	114	1	_	_	PUNCT
cana-759	115	1	_	_	PUNCT
cana-759	116	1	_	_	PUNCT
cana-759	117	1	_	_	PUNCT
cana-759	118	1	_	_	PUNCT
cana-759	119	1	_	_	PUNCT
cana-759	120	1	_	_	PUNCT
cana-759	120	2	(	(	PUNCT
cana-759	120	3	8)	8)	NUM
cana-759	120	4	𝑃2(1	𝑃2(1	NOUN
cana-759	120	5	)	)	PUNCT
cana-759	121	1	=	=	PUNCT
cana-759	121	2	𝑟1𝑃1,0	𝑟1𝑃1,0	NOUN
cana-759	122	1	+	+	CCONJ
cana-759	122	2	𝑟2𝑃2,0	𝑟2𝑃2,0	VERB
cana-759	122	3	𝑟2	𝑟2	NOUN
cana-759	122	4	_	_	PUNCT
cana-759	123	1	_	_	PUNCT
cana-759	124	1	_	_	PUNCT
cana-759	125	1	_	_	PUNCT
cana-759	126	1	_	_	PUNCT
cana-759	127	1	_	_	PUNCT
cana-759	128	1	_	_	PUNCT
cana-759	129	1	_	_	PUNCT
cana-759	130	1	_	_	PUNCT
cana-759	131	1	_	_	PUNCT
cana-759	131	2	(	(	PUNCT
cana-759	131	3	9	9	NUM
cana-759	131	4	)	)	PUNCT
cana-759	131	5	𝜆𝑃0(𝑧	𝜆𝑃0(𝑧	NOUN
cana-759	131	6	)	)	PUNCT
cana-759	132	1	+	+	SYM
cana-759	132	2	𝜇𝑃0	𝜇𝑃0	NOUN
cana-759	132	3	(	(	PUNCT
cana-759	132	4	𝑧	𝑧	NOUN
cana-759	132	5	)	)	PUNCT
cana-759	132	6	=	=	SYM
cana-759	132	7	−𝜇𝑃0,1	−𝜇𝑃0,1	NOUN
cana-759	132	8	+	+	NUM
cana-759	132	9	1	1	NUM
cana-759	132	10	2	2	NUM
cana-759	132	11	𝜇𝑃0(𝑧	𝜇𝑃0(𝑧	NOUN
cana-759	132	12	)	)	PUNCT
cana-759	133	1	−	−	NOUN
cana-759	133	2	𝑟1𝑃1,0	𝑟1𝑃1,0	NOUN
cana-759	133	3	+	+	CCONJ
cana-759	133	4	𝑟1𝑃1(𝑧	𝑟1𝑃1(𝑧	NUM
cana-759	133	5	)	)	PUNCT
cana-759	134	1	+	+	CCONJ
cana-759	134	2	𝜆𝐻(𝑧)𝑃0(𝑧	𝜆𝐻(𝑧)𝑃0(𝑧	NOUN
cana-759	134	3	)	)	PUNCT
cana-759	134	4	−	−	ADP
cana-759	134	5	𝑟2𝑃2,0	𝑟2𝑃2,0	NOUN
cana-759	134	6	+	+	CCONJ
cana-759	134	7	𝑟2𝑃2(𝑧	𝑟2𝑃2(𝑧	NOUN
cana-759	134	8	)	)	PUNCT
cana-759	134	9	𝜆𝑃0(𝑧	𝜆𝑃0(𝑧	NOUN
cana-759	134	10	)	)	PUNCT
cana-759	134	11	−	−	NOUN
cana-759	134	12	𝜆𝐻(𝑧)𝑃0(𝑧	𝜆𝐻(𝑧)𝑃0(𝑧	NOUN
cana-759	134	13	)	)	PUNCT
cana-759	135	1	−	−	NOUN
cana-759	135	2	1	1	NUM
cana-759	135	3	2	2	NUM
cana-759	135	4	𝜇𝑃0(𝑧	𝜇𝑃0(𝑧	NOUN
cana-759	135	5	)	)	PUNCT
cana-759	136	1	+	+	SYM
cana-759	136	2	𝜇𝑃0	𝜇𝑃0	NOUN
cana-759	136	3	(	(	PUNCT
cana-759	136	4	𝑧	𝑧	NOUN
cana-759	136	5	)	)	PUNCT
cana-759	136	6	−	−	NOUN
cana-759	136	7	𝑟1𝑃1(𝑧	𝑟1𝑃1(𝑧	NOUN
cana-759	136	8	)	)	PUNCT
cana-759	136	9	−	−	PROPN
cana-759	136	10	𝑟2𝑃2(𝑧	𝑟2𝑃2(𝑧	NOUN
cana-759	136	11	)	)	PUNCT
cana-759	136	12	=	=	SYM
cana-759	136	13	−𝜇𝑃0,1	−𝜇𝑃0,1	PROPN
cana-759	136	14	−	−	NOUN
cana-759	136	15	𝑟1𝑃1,0	𝑟1𝑃1,0	NOUN
cana-759	136	16	−	−	PROPN
cana-759	136	17	𝑟2𝑃2,0	𝑟2𝑃2,0	NOUN
cana-759	136	18	(	(	PUNCT
cana-759	136	19	𝜆(1	𝜆(1	NOUN
cana-759	136	20	−	−	PROPN
cana-759	136	21	𝜆𝐻(𝑧))𝑃0(𝑧	𝜆𝐻(𝑧))𝑃0(𝑧	ADJ
cana-759	136	22	)	)	PUNCT
cana-759	136	23	+	+	CCONJ
cana-759	136	24	𝜇	𝜇	X
cana-759	136	25	(	(	PUNCT
cana-759	136	26	1	1	NUM
cana-759	136	27	−	−	PROPN
cana-759	136	28	1	1	NUM
cana-759	136	29	𝑧	𝑧	NOUN
cana-759	136	30	)	)	PUNCT
cana-759	136	31	𝑃0(𝑧	𝑃0(𝑧	PROPN
cana-759	136	32	)	)	PUNCT
cana-759	136	33	)	)	PUNCT
cana-759	136	34	−	−	PROPN
cana-759	137	1	𝑟1𝑃1(𝑧	𝑟1𝑃1(𝑧	NOUN
cana-759	137	2	)	)	PUNCT
cana-759	137	3	−	−	PROPN
cana-759	137	4	𝑟2𝑃2(𝑧	𝑟2𝑃2(𝑧	NOUN
cana-759	137	5	)	)	PUNCT
cana-759	137	6	=	=	SYM
cana-759	137	7	−𝜇𝑃0,1	−𝜇𝑃0,1	PROPN
cana-759	137	8	−	−	NOUN
cana-759	137	9	𝑟1𝑃1,0	𝑟1𝑃1,0	NOUN
cana-759	138	1	−	−	PROPN
cana-759	138	2	𝑟2𝑃2,0	𝑟2𝑃2,0	VERB
cana-759	138	3	[	[	X
cana-759	138	4	𝜆	𝜆	X
cana-759	138	5	(	(	PUNCT
cana-759	138	6	1	1	NUM
cana-759	138	7	−	−	NOUN
cana-759	138	8	𝜆𝐻(𝑧	𝜆𝐻(𝑧	NUM
cana-759	138	9	)	)	PUNCT
cana-759	138	10	)	)	PUNCT
cana-759	139	1	+	+	CCONJ
cana-759	139	2	𝜇(1	𝜇(1	PROPN
cana-759	139	3	−	−	PROPN
cana-759	139	4	1	1	NUM
cana-759	139	5	𝑧	𝑧	NOUN
cana-759	139	6	)	)	PUNCT
cana-759	139	7	]	]	PUNCT
cana-759	139	8	𝑃0(𝑧	𝑃0(𝑧	VERB
cana-759	139	9	)	)	PUNCT
cana-759	139	10	−	−	PROPN
cana-759	139	11	𝑟1𝑃1(𝑧	𝑟1𝑃1(𝑧	NOUN
cana-759	139	12	)	)	PUNCT
cana-759	139	13	−	−	PROPN
cana-759	139	14	𝑟2𝑃2(𝑧	𝑟2𝑃2(𝑧	NOUN
cana-759	139	15	)	)	PUNCT
cana-759	139	16	=	=	SYM
cana-759	139	17	−𝜇𝑃0,1	−𝜇𝑃0,1	PROPN
cana-759	139	18	−	−	NOUN
cana-759	139	19	𝑟1𝑃1,0	𝑟1𝑃1,0	NOUN
cana-759	139	20	−	−	PROPN
cana-759	139	21	𝑟2𝑃2,0______(10	𝑟2𝑃2,0______(10	PROPN
cana-759	139	22	)	)	PUNCT
cana-759	140	1	[	[	X
cana-759	140	2	𝜆(1	𝜆(1	NOUN
cana-759	140	3	−	−	NUM
cana-759	140	4	𝐻(𝑧	𝐻(𝑧	NUM
cana-759	140	5	)	)	PUNCT
cana-759	140	6	)	)	PUNCT
cana-759	141	1	+	+	X
cana-759	141	2	𝑟1]𝑃1(𝑧	𝑟1]𝑃1(𝑧	X
cana-759	141	3	)	)	PUNCT
cana-759	141	4	=	=	PUNCT
cana-759	142	1	𝜇𝑃0,1	𝜇𝑃0,1	ADV
cana-759	142	2	_	_	PUNCT
cana-759	143	1	_	_	PUNCT
cana-759	144	1	_	_	PUNCT
cana-759	145	1	_	_	PUNCT
cana-759	146	1	_	_	PUNCT
cana-759	147	1	_	_	PUNCT
cana-759	148	1	_	_	PUNCT
cana-759	149	1	_	_	PUNCT
cana-759	149	2	(	(	PUNCT
cana-759	149	3	11	11	NUM
cana-759	149	4	)	)	PUNCT
cana-759	149	5	∴	∴	PROPN
cana-759	149	6	𝑃1(𝑧	𝑃1(𝑧	PROPN
cana-759	149	7	)	)	PUNCT
cana-759	149	8	=	=	VERB
cana-759	149	9	𝜇𝑃0,1	𝜇𝑃0,1	ADV
cana-759	149	10	𝜆(1	𝜆(1	ADP
cana-759	149	11	−	−	NOUN
cana-759	149	12	𝜆𝐻(𝑧	𝜆𝐻(𝑧	NUM
cana-759	149	13	)	)	PUNCT
cana-759	149	14	)	)	PUNCT
cana-759	150	1	+	+	CCONJ
cana-759	150	2	𝑟1	𝑟1	NOUN
cana-759	150	3	_	_	PUNCT
cana-759	151	1	_	_	PUNCT
cana-759	152	1	_	_	PUNCT
cana-759	153	1	_	_	PUNCT
cana-759	154	1	_	_	PUNCT
cana-759	155	1	_	_	PUNCT
cana-759	156	1	_	_	PUNCT
cana-759	157	1	_	_	PUNCT
cana-759	158	1	_	_	PUNCT
cana-759	159	1	_	_	PUNCT
cana-759	159	2	(	(	PUNCT
cana-759	159	3	12	12	NUM
cana-759	159	4	)	)	PUNCT
cana-759	159	5	𝑃1(1	𝑃1(1	ADJ
cana-759	159	6	)	)	PUNCT
cana-759	159	7	=	=	PUNCT
cana-759	159	8	𝜇𝑃0,1	𝜇𝑃0,1	ADJ
cana-759	159	9	𝑟1	𝑟1	NOUN
cana-759	159	10	from	from	ADP
cana-759	159	11	(	(	PUNCT
cana-759	159	12	10	10	NUM
cana-759	159	13	)	)	PUNCT
cana-759	159	14	,	,	PUNCT
cana-759	159	15	𝑃0(𝑧	𝑃0(𝑧	PROPN
cana-759	159	16	)	)	PUNCT
cana-759	159	17	=	=	PUNCT
cana-759	159	18	𝑟1𝑃1(𝑧	𝑟1𝑃1(𝑧	X
cana-759	159	19	)	)	PUNCT
cana-759	159	20	+	+	NUM
cana-759	159	21	𝑟2𝑃2(𝑧	𝑟2𝑃2(𝑧	NOUN
cana-759	159	22	)	)	PUNCT
cana-759	159	23	−	−	PROPN
cana-759	159	24	𝜇𝑃0,1	𝜇𝑃0,1	ADV
cana-759	159	25	−	−	NOUN
cana-759	159	26	𝑟1𝑃1,0	𝑟1𝑃1,0	NOUN
cana-759	159	27	−	−	PROPN
cana-759	159	28	𝑟2𝑃2,0	𝑟2𝑃2,0	NOUN
cana-759	159	29	(	(	PUNCT
cana-759	159	30	1	1	NUM
cana-759	159	31	−	−	NOUN
cana-759	159	32	𝜆𝐻(𝑧	𝜆𝐻(𝑧	NUM
cana-759	159	33	)	)	PUNCT
cana-759	159	34	)	)	PUNCT
cana-759	160	1	+	+	CCONJ
cana-759	160	2	𝜇(1	𝜇(1	PROPN
cana-759	160	3	−	−	PROPN
cana-759	160	4	1	1	NUM
cana-759	160	5	𝑧	𝑧	NOUN
cana-759	160	6	)	)	PUNCT
cana-759	160	7	𝑃0(𝑧	𝑃0(𝑧	PROPN
cana-759	160	8	)	)	PUNCT
cana-759	160	9	=	=	PRON
cana-759	160	10	(	(	PUNCT
cana-759	160	11	−𝜇𝑃0,1	−𝜇𝑃0,1	PROPN
cana-759	160	12	)	)	PUNCT
cana-759	161	1	[	[	X
cana-759	161	2	𝜆2(1	𝜆2(1	NOUN
cana-759	161	3	−	−	NOUN
cana-759	161	4	𝐻(𝑧	𝐻(𝑧	NOUN
cana-759	161	5	)	)	PUNCT
cana-759	161	6	)	)	PUNCT
cana-759	161	7	2	2	NUM
cana-759	161	8	+	+	NUM
cana-759	161	9	𝑟2	𝑟2	NOUN
cana-759	162	1	𝜆(1	𝜆(1	NOUN
cana-759	162	2	−	−	NOUN
cana-759	162	3	𝜆𝐻(𝑧	𝜆𝐻(𝑧	NUM
cana-759	162	4	)	)	PUNCT
cana-759	162	5	)	)	PUNCT
cana-759	162	6	]	]	PUNCT
cana-759	163	1	+	+	CCONJ
cana-759	163	2	[	[	X
cana-759	163	3	−𝑟1𝑃1,0	−𝑟1𝑃1,0	NOUN
cana-759	163	4	−	−	PROPN
cana-759	163	5	𝑟2𝑃2,0	𝑟2𝑃2,0	VERB
cana-759	163	6	]	]	PUNCT
cana-759	164	1	[	[	X
cana-759	164	2	𝜆2(1	𝜆2(1	NOUN
cana-759	164	3	−	−	NOUN
cana-759	164	4	𝐻(𝑧	𝐻(𝑧	NOUN
cana-759	164	5	)	)	PUNCT
cana-759	164	6	)	)	PUNCT
cana-759	164	7	2	2	NUM
cana-759	164	8	+	+	NUM
cana-759	164	9	𝑟1	𝑟1	NOUN
cana-759	164	10	(	(	PUNCT
cana-759	164	11	1	1	NUM
cana-759	164	12	−	−	NOUN
cana-759	164	13	𝐻(𝑧	𝐻(𝑧	NUM
cana-759	164	14	)	)	PUNCT
cana-759	164	15	)	)	PUNCT
cana-759	164	16	]	]	PUNCT
cana-759	165	1	𝜆3(1	𝜆3(1	PROPN
cana-759	165	2	−	−	PROPN
cana-759	165	3	𝐻(𝑧	𝐻(𝑧	NUM
cana-759	165	4	)	)	PUNCT
cana-759	165	5	)	)	PUNCT
cana-759	165	6	3	3	NUM
cana-759	166	1	+	+	CCONJ
cana-759	166	2	(	(	PUNCT
cana-759	166	3	𝑟1	𝑟1	NOUN
cana-759	166	4	+	+	CCONJ
cana-759	166	5	𝑟2)𝜆2(1	𝑟2)𝜆2(1	NOUN
cana-759	166	6	−	−	NOUN
cana-759	166	7	𝐻(𝑧	𝐻(𝑧	NUM
cana-759	166	8	)	)	PUNCT
cana-759	166	9	)	)	PUNCT
cana-759	166	10	2	2	NUM
cana-759	167	1	+	+	NUM
cana-759	167	2	𝑟1	𝑟1	NOUN
cana-759	167	3	𝑟2	𝑟2	NOUN
cana-759	167	4	(	(	PUNCT
cana-759	167	5	1	1	NUM
cana-759	167	6	−	−	NOUN
cana-759	167	7	𝐻(𝑧	𝐻(𝑧	NUM
cana-759	167	8	)	)	PUNCT
cana-759	167	9	)	)	PUNCT
cana-759	168	1	+	+	ADP
cana-759	168	2	𝜇	𝜇	X
cana-759	168	3	(	(	PUNCT
cana-759	168	4	1	1	NUM
cana-759	168	5	−	−	PROPN
cana-759	168	6	1	1	NUM
cana-759	168	7	𝑧	𝑧	NOUN
cana-759	168	8	)	)	PUNCT
cana-759	168	9	𝜆2(1	𝜆2(1	NOUN
cana-759	168	10	−	−	NOUN
cana-759	168	11	𝐻(𝑧	𝐻(𝑧	NOUN
cana-759	168	12	)	)	PUNCT
cana-759	168	13	)	)	PUNCT
cana-759	169	1	+	+	PROPN
cana-759	169	2	(	(	PUNCT
cana-759	169	3	𝑟1	𝑟1	NOUN
cana-759	169	4	+	+	CCONJ
cana-759	169	5	𝑟2)𝜇	𝑟2)𝜇	NOUN
cana-759	169	6	(	(	PUNCT
cana-759	169	7	1	1	NUM
cana-759	169	8	−	−	PROPN
cana-759	169	9	1	1	NUM
cana-759	169	10	𝑧	𝑧	NOUN
cana-759	169	11	)	)	PUNCT
cana-759	170	1	𝜆(1	𝜆(1	ADP
cana-759	170	2	−	−	NOUN
cana-759	170	3	𝐻(𝑧	𝐻(𝑧	NUM
cana-759	170	4	)	)	PUNCT
cana-759	170	5	)	)	PUNCT
cana-759	171	1	+	+	CCONJ
cana-759	171	2	𝑟1	𝑟1	NOUN
cana-759	171	3	𝑟2𝜇	𝑟2𝜇	NUM
cana-759	171	4	(	(	PUNCT
cana-759	171	5	1	1	NUM
cana-759	171	6	−	−	NUM
cana-759	171	7	1	1	NUM
cana-759	171	8	𝑧	𝑧	NOUN
cana-759	171	9	)	)	PUNCT
cana-759	172	1	_	_	PUNCT
cana-759	173	1	_	_	PUNCT
cana-759	174	1	_	_	PUNCT
cana-759	175	1	_	_	PUNCT
cana-759	176	1	_	_	PUNCT
cana-759	177	1	_	_	PUNCT
cana-759	178	1	_	_	PUNCT
cana-759	178	2	(	(	PUNCT
cana-759	178	3	13	13	NUM
cana-759	178	4	)	)	PUNCT
cana-759	178	5	communications	communication	NOUN
cana-759	178	6	on	on	ADP
cana-759	178	7	applied	apply	VERB
cana-759	178	8	nonlinear	nonlinear	ADJ
cana-759	178	9	analysis	analysis	NOUN
cana-759	178	10	issn	issn	NOUN
cana-759	178	11	:	:	PUNCT
cana-759	178	12	1074	1074	NUM
cana-759	178	13	-	-	PUNCT
cana-759	178	14	133x	133x	NUM
cana-759	178	15	vol	vol	NOUN
cana-759	178	16	31	31	NUM
cana-759	178	17	no	no	NOUN
cana-759	178	18	.	.	PUNCT
cana-759	179	1	3s	3s	NUM
cana-759	179	2	(	(	PUNCT
cana-759	179	3	2024	2024	NUM
cana-759	179	4	)	)	PUNCT
cana-759	179	5	200	200	NUM
cana-759	179	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	179	7	when	when	SCONJ
cana-759	179	8	z=1	z=1	NOUN
cana-759	179	9	𝑃0(1	𝑃0(1	NOUN
cana-759	179	10	)	)	PUNCT
cana-759	179	11	=	=	PUNCT
cana-759	179	12	0	0	SYM
cana-759	179	13	0	0	NUM
cana-759	179	14	using	use	VERB
cana-759	179	15	l’hospitals	l’hospital	NOUN
cana-759	179	16	rule	rule	NOUN
cana-759	179	17	,	,	PUNCT
cana-759	179	18	we	we	PRON
cana-759	179	19	get	get	VERB
cana-759	179	20	p0(z	p0(z	NOUN
cana-759	179	21	)	)	PUNCT
cana-759	179	22	=	=	SYM
cana-759	179	23	(	(	PUNCT
cana-759	179	24	−μp0,1	−μp0,1	INTJ
cana-759	179	25	)	)	PUNCT
cana-759	180	1	[	[	X
cana-759	180	2	−2λ2(1	−2λ2(1	X
cana-759	180	3	−	−	PROPN
cana-759	180	4	h(z))h′(z	h(z))h′(z	NOUN
cana-759	180	5	)	)	PUNCT
cana-759	181	1	−	−	PROPN
cana-759	181	2	r2	r2	PROPN
cana-759	181	3	λh′(z	λh′(z	VERB
cana-759	181	4	)	)	PUNCT
cana-759	181	5	]	]	PUNCT
cana-759	182	1	+	+	CCONJ
cana-759	182	2	[	[	X
cana-759	182	3	−r1p1,0	−r1p1,0	NUM
cana-759	182	4	−	−	PROPN
cana-759	182	5	r2p2,0][−2λ21	r2p2,0][−2λ21	VERB
cana-759	182	6	−	−	PROPN
cana-759	182	7	h(z))h′(z	h(z))h′(z	NOUN
cana-759	182	8	)	)	PUNCT
cana-759	182	9	−	−	PROPN
cana-759	182	10	r1λh′(z	r1λh′(z	NOUN
cana-759	182	11	)	)	PUNCT
cana-759	182	12	]	]	PUNCT
cana-759	182	13	−	−	PROPN
cana-759	182	14	θ1	θ1	PROPN
cana-759	182	15	−3λ3(1	−3λ3(1	PRON
cana-759	182	16	−	−	PROPN
cana-759	182	17	h(z	h(z	NOUN
cana-759	182	18	)	)	PUNCT
cana-759	182	19	)	)	PUNCT
cana-759	182	20	2	2	NUM
cana-759	182	21	h′(z	h′(z	NOUN
cana-759	182	22	)	)	PUNCT
cana-759	182	23	−	−	PROPN
cana-759	183	1	(	(	PUNCT
cana-759	183	2	r1	r1	PROPN
cana-759	183	3	+	+	PROPN
cana-759	183	4	r2)2λ21	r2)2λ21	VERB
cana-759	183	5	−	−	NUM
cana-759	183	6	h(z))h′(z	h(z))h′(z	NOUN
cana-759	183	7	)	)	PUNCT
cana-759	183	8	−	−	PROPN
cana-759	184	1	r1	r1	PROPN
cana-759	184	2	r2	r2	PROPN
cana-759	184	3	h′(z	h′(z	ADV
cana-759	184	4	)	)	PUNCT
cana-759	185	1	+	+	NOUN
cana-759	185	2	μ	μ	NOUN
cana-759	185	3	1	1	NUM
cana-759	185	4	z2	z2	NUM
cana-759	185	5	λ2(1	λ2(1	NOUN
cana-759	185	6	−	−	PROPN
cana-759	185	7	h(z	h(z	NOUN
cana-759	185	8	)	)	PUNCT
cana-759	185	9	)	)	PUNCT
cana-759	185	10	2	2	NUM
cana-759	185	11	−	−	NOUN
cana-759	185	12	2	2	NUM
cana-759	185	13	(	(	PUNCT
cana-759	185	14	1	1	NUM
cana-759	185	15	−	−	NUM
cana-759	185	16	1	1	NUM
cana-759	185	17	z	z	NOUN
cana-759	185	18	)	)	PUNCT
cana-759	185	19	μλ2(1	μλ2(1	NOUN
cana-759	185	20	−	−	PROPN
cana-759	185	21	h(z))h′(z	h(z))h′(z	NOUN
cana-759	185	22	)	)	PUNCT
cana-759	186	1	+	+	PROPN
cana-759	186	2	(	(	PUNCT
cana-759	186	3	r1	r1	NOUN
cana-759	186	4	+	+	CCONJ
cana-759	186	5	r2)μλ	r2)μλ	PROPN
cana-759	186	6	1	1	NUM
cana-759	186	7	z2	z2	NOUN
cana-759	186	8	(	(	PUNCT
cana-759	186	9	1	1	NUM
cana-759	186	10	−	−	PROPN
cana-759	186	11	h(z	h(z	NOUN
cana-759	186	12	)	)	PUNCT
cana-759	186	13	)	)	PUNCT
cana-759	186	14	−	−	PROPN
cana-759	187	1	(	(	PUNCT
cana-759	187	2	r1	r1	NOUN
cana-759	187	3	+	+	CCONJ
cana-759	187	4	r2)μ	r2)μ	NOUN
cana-759	187	5	(	(	PUNCT
cana-759	187	6	1	1	NUM
cana-759	187	7	−	−	NUM
cana-759	187	8	1	1	NUM
cana-759	187	9	z	z	NOUN
cana-759	187	10	)	)	PUNCT
cana-759	187	11	λh′(z	λh′(z	ADP
cana-759	187	12	)	)	PUNCT
cana-759	188	1	+	+	CCONJ
cana-759	188	2	r1	r1	PROPN
cana-759	188	3	r2μ	r2μ	PROPN
cana-759	188	4	1	1	NUM
cana-759	188	5	z2	z2	PROPN
cana-759	188	6	−	−	PROPN
cana-759	188	7	θ2	θ2	PROPN
cana-759	188	8	_	_	PUNCT
cana-759	189	1	_	_	PUNCT
cana-759	190	1	_	_	PUNCT
cana-759	191	1	_	_	PUNCT
cana-759	192	1	_	_	PUNCT
cana-759	193	1	_	_	PUNCT
cana-759	194	1	_	_	PUNCT
cana-759	195	1	_	_	PUNCT
cana-759	196	1	_	_	PUNCT
cana-759	197	1	_	_	PUNCT
cana-759	197	2	(	(	PUNCT
cana-759	197	3	14	14	NUM
cana-759	197	4	)	)	PUNCT
cana-759	197	5	𝑃0(1	𝑃0(1	NOUN
cana-759	197	6	)	)	PUNCT
cana-759	198	1	=	=	PUNCT
cana-759	198	2	𝜇𝑟2	𝜇𝑟2	PRON
cana-759	199	1	𝜆𝐻′(1)𝑃0,1	𝜆𝐻′(1)𝑃0,1	NOUN
cana-759	200	1	+	+	CCONJ
cana-759	200	2	𝑟1	𝑟1	NOUN
cana-759	200	3	2	2	NUM
cana-759	200	4	𝜆𝐻′(1)𝑃1,0	𝜆𝐻′(1)𝑃1,0	NOUN
cana-759	200	5	+	+	CCONJ
cana-759	200	6	𝑟1	𝑟1	NOUN
cana-759	200	7	𝑟2𝜆𝐻′(1)𝑃2,0	𝑟2𝜆𝐻′(1)𝑃2,0	PUNCT
cana-759	200	8	𝑟1	𝑟1	PROPN
cana-759	200	9	𝑟2(𝜇	𝑟2(𝜇	NUM
cana-759	201	1	−	−	PROPN
cana-759	201	2	𝜆𝐻′(1	𝜆𝐻′(1	PROPN
cana-759	201	3	)	)	PUNCT
cana-759	201	4	)	)	PUNCT
cana-759	202	1	=	=	PUNCT
cana-759	202	2	𝑄1(1	𝑄1(1	X
cana-759	202	3	)	)	PUNCT
cana-759	202	4	𝑄2(1	𝑄2(1	NOUN
cana-759	202	5	)	)	PUNCT
cana-759	203	1	_	_	PUNCT
cana-759	204	1	_	_	PUNCT
cana-759	205	1	_	_	PUNCT
cana-759	206	1	_	_	PUNCT
cana-759	207	1	_	_	PUNCT
cana-759	208	1	_	_	PUNCT
cana-759	209	1	_	_	PUNCT
cana-759	210	1	_	_	PUNCT
cana-759	210	2	(	(	PUNCT
cana-759	210	3	15	15	NUM
cana-759	210	4	)	)	PUNCT
cana-759	210	5	𝑃0′(𝑧	𝑃0′(𝑧	PROPN
cana-759	210	6	)	)	PUNCT
cana-759	211	1	=	=	SYM
cana-759	211	2	𝑄2𝑄1′	𝑄2𝑄1′	PROPN
cana-759	211	3	−	−	PUNCT
cana-759	212	1	𝑄1𝑄2′	𝑄1𝑄2′	NOUN
cana-759	212	2	𝑄2	𝑄2	PROPN
cana-759	212	3	2	2	NUM
cana-759	212	4	𝑃0′(1	𝑃0′(1	ADJ
cana-759	212	5	)	)	PUNCT
cana-759	212	6	=	=	SYM
cana-759	212	7	𝑄2(1)𝑄1′(1	𝑄2(1)𝑄1′(1	ADJ
cana-759	212	8	)	)	PUNCT
cana-759	212	9	−	−	PROPN
cana-759	213	1	𝑄1(1)𝑄2′(1	𝑄1(1)𝑄2′(1	PROPN
cana-759	213	2	)	)	PUNCT
cana-759	213	3	{	{	PUNCT
cana-759	213	4	𝑄2(1)}2	𝑄2(1)}2	PROPN
cana-759	213	5	𝑄1	𝑄1	NOUN
cana-759	213	6	′	′	NOUN
cana-759	213	7	(	(	PUNCT
cana-759	213	8	𝑧	𝑧	X
cana-759	213	9	)	)	PUNCT
cana-759	213	10	=	=	SYM
cana-759	213	11	−𝜇𝑃0,1	−𝜇𝑃0,1	PROPN
cana-759	214	1	[	[	X
cana-759	214	2	−2𝜆2(1	−2𝜆2(1	NOUN
cana-759	214	3	−	−	NOUN
cana-759	214	4	𝜆𝐻(𝑧))𝐻′′(𝑧	𝜆𝐻(𝑧))𝐻′′(𝑧	NUM
cana-759	214	5	)	)	PUNCT
cana-759	215	1	+	+	CCONJ
cana-759	215	2	2𝜆2𝐻′(𝑧	2𝜆2𝐻′(𝑧	X
cana-759	215	3	)	)	PUNCT
cana-759	215	4	−	−	ADP
cana-759	216	1	𝑟2𝜆𝐻′′(𝑧	𝑟2𝜆𝐻′′(𝑧	NOUN
cana-759	216	2	)	)	PUNCT
cana-759	216	3	]	]	PUNCT
cana-759	217	1	+	+	CCONJ
cana-759	217	2	[	[	X
cana-759	217	3	−𝑟1𝑃1,0	−𝑟1𝑃1,0	NOUN
cana-759	217	4	−	−	PROPN
cana-759	217	5	𝑟2𝑃2,0][−2𝜆2(1	𝑟2𝑃2,0][−2𝜆2(1	NOUN
cana-759	217	6	−	−	NOUN
cana-759	217	7	𝜆𝐻(𝑧))𝐻′′(𝑧	𝜆𝐻(𝑧))𝐻′′(𝑧	NUM
cana-759	217	8	)	)	PUNCT
cana-759	218	1	+	+	CCONJ
cana-759	218	2	2𝜆2𝐻′(𝑧)2	2𝜆2𝐻′(𝑧)2	NUM
cana-759	218	3	−	−	NOUN
cana-759	218	4	𝑟1𝜆𝐻′′(𝑧	𝑟1𝜆𝐻′′(𝑧	NOUN
cana-759	218	5	)	)	PUNCT
cana-759	218	6	]	]	PUNCT
cana-759	218	7	𝑄1	𝑄1	NOUN
cana-759	219	1	′	′	NUM
cana-759	219	2	(	(	PUNCT
cana-759	219	3	1	1	X
cana-759	219	4	)	)	PUNCT
cana-759	220	1	=	=	SYM
cana-759	220	2	−𝜇𝑃0,1	−𝜇𝑃0,1	PROPN
cana-759	220	3	[	[	X
cana-759	220	4	2𝜆2𝐻′(1)2	2𝜆2𝐻′(1)2	NUM
cana-759	220	5	−	−	NUM
cana-759	220	6	𝑟2𝜆𝐻′′(1	𝑟2𝜆𝐻′′(1	NUM
cana-759	220	7	)	)	PUNCT
cana-759	220	8	]	]	PUNCT
cana-759	221	1	−	−	PROPN
cana-759	222	1	[	[	X
cana-759	222	2	𝑟1𝑃1,0	𝑟1𝑃1,0	X
cana-759	222	3	+	+	CCONJ
cana-759	222	4	𝑟2𝑃2,0][2𝜆2𝐻′(1)2	𝑟2𝑃2,0][2𝜆2𝐻′(1)2	ADJ
cana-759	222	5	−	−	NOUN
cana-759	222	6	𝑟1𝜆𝐻′′(1	𝑟1𝜆𝐻′′(1	PROPN
cana-759	222	7	)	)	PUNCT
cana-759	222	8	]	]	PUNCT
cana-759	222	9	𝑄2	𝑄2	PROPN
cana-759	223	1	′	′	NUM
cana-759	224	1	(	(	PUNCT
cana-759	224	2	1	1	X
cana-759	224	3	)	)	PUNCT
cana-759	224	4	=	=	SYM
cana-759	224	5	2𝜆2(𝑟1	2𝜆2(𝑟1	NUM
cana-759	224	6	+	+	CCONJ
cana-759	224	7	𝑟2)𝐻′(1)2	𝑟2)𝐻′(1)2	NUM
cana-759	224	8	−	−	PROPN
cana-759	224	9	𝑟1	𝑟1	NOUN
cana-759	224	10	𝑟2𝜆𝐻′′(1	𝑟2𝜆𝐻′′(1	NUM
cana-759	224	11	)	)	PUNCT
cana-759	224	12	−	−	PROPN
cana-759	224	13	2(𝑟1	2(𝑟1	NUM
cana-759	225	1	+	+	NUM
cana-759	225	2	𝑟2	𝑟2	NOUN
cana-759	225	3	)	)	PUNCT
cana-759	225	4	𝜆𝐻′(1	𝜆𝐻′(1	PROPN
cana-759	225	5	)	)	PUNCT
cana-759	225	6	−	−	PROPN
cana-759	225	7	2𝑟1	2𝑟1	NUM
cana-759	225	8	𝑟2𝜇	𝑟2𝜇	PROPN
cana-759	225	9	𝑃0	𝑃0	NOUN
cana-759	225	10	′(1	′(1	PROPN
cana-759	225	11	)	)	PUNCT
cana-759	225	12	=	=	SYM
cana-759	226	1	𝑄	𝑄	PROPN
cana-759	226	2	+	+	CCONJ
cana-759	226	3	𝑅	𝑅	PROPN
cana-759	226	4	+	+	CCONJ
cana-759	226	5	𝑆𝑇	𝑆𝑇	PROPN
cana-759	226	6	𝑈	𝑈	PROPN
cana-759	226	7	_	_	PUNCT
cana-759	227	1	_	_	PUNCT
cana-759	228	1	_	_	PUNCT
cana-759	229	1	_	_	PUNCT
cana-759	230	1	_	_	PUNCT
cana-759	231	1	_	_	PUNCT
cana-759	232	1	_	_	PUNCT
cana-759	233	1	_	_	PUNCT
cana-759	234	1	_	_	PUNCT
cana-759	235	1	_	_	PUNCT
cana-759	236	1	_	_	PUNCT
cana-759	237	1	_	_	PUNCT
cana-759	238	1	_	_	PUNCT
cana-759	239	1	_	_	PUNCT
cana-759	240	1	_	_	PUNCT
cana-759	240	2	(	(	PUNCT
cana-759	240	3	16	16	NUM
cana-759	240	4	)	)	PUNCT
cana-759	240	5	q=𝑟1	q=𝑟1	PROPN
cana-759	240	6	𝑟2𝜇	𝑟2𝜇	NUM
cana-759	240	7	−	−	PROPN
cana-759	240	8	𝑟1	𝑟1	PROPN
cana-759	240	9	𝑟2𝜆𝐻′(1	𝑟2𝜆𝐻′(1	NOUN
cana-759	240	10	)	)	PUNCT
cana-759	240	11	−	−	PROPN
cana-759	240	12	𝜇𝑃0,1	𝜇𝑃0,1	ADV
cana-759	240	13	(	(	PUNCT
cana-759	240	14	2𝜆2𝐻′(1)2	2𝜆2𝐻′(1)2	NUM
cana-759	240	15	−	−	NOUN
cana-759	240	16	𝑟2𝜆𝐻′′(1	𝑟2𝜆𝐻′′(1	NUM
cana-759	240	17	)	)	PUNCT
cana-759	240	18	)	)	PUNCT
cana-759	241	1	r=[−𝑟1𝑃1,0	r=[−𝑟1𝑃1,0	PROPN
cana-759	241	2	−	−	NOUN
cana-759	241	3	𝑟2𝑃2,0]2𝜆2𝐻′(1)2	𝑟2𝑃2,0]2𝜆2𝐻′(1)2	NUM
cana-759	241	4	−	−	NOUN
cana-759	241	5	𝑟1𝜆𝐻′′(1	𝑟1𝜆𝐻′′(1	ADJ
cana-759	241	6	)	)	PUNCT
cana-759	241	7	−	−	NOUN
cana-759	241	8	(	(	PUNCT
cana-759	241	9	𝜇𝑟2	𝜇𝑟2	NOUN
cana-759	241	10	𝜆𝐻′(1)𝑃0,1	𝜆𝐻′(1)𝑃0,1	NOUN
cana-759	241	11	s=𝑟1	s=𝑟1	NOUN
cana-759	241	12	2	2	NUM
cana-759	241	13	𝜆𝐻′(1)𝑃1,0	𝜆𝐻′(1)𝑃1,0	NOUN
cana-759	241	14	+	+	CCONJ
cana-759	241	15	𝑟1	𝑟1	NOUN
cana-759	241	16	𝑟2𝜆𝐻′(1)𝑃2,0	𝑟2𝜆𝐻′(1)𝑃2,0	VERB
cana-759	241	17	t=[2𝜆2(𝑟1	t=[2𝜆2(𝑟1	PROPN
cana-759	241	18	+	+	CCONJ
cana-759	241	19	𝑟2)𝐻′(1)2	𝑟2)𝐻′(1)2	NUM
cana-759	241	20	−	−	PROPN
cana-759	241	21	𝑟1	𝑟1	NOUN
cana-759	241	22	𝑟2𝜆𝐻′′(1	𝑟2𝜆𝐻′′(1	NUM
cana-759	241	23	)	)	PUNCT
cana-759	241	24	−	−	PROPN
cana-759	241	25	2(𝑟1	2(𝑟1	NUM
cana-759	242	1	+	+	NUM
cana-759	242	2	𝑟2	𝑟2	NOUN
cana-759	242	3	)	)	PUNCT
cana-759	242	4	𝜆𝐻′(1	𝜆𝐻′(1	PROPN
cana-759	242	5	)	)	PUNCT
cana-759	242	6	−	−	PROPN
cana-759	242	7	2𝑟1	2𝑟1	NUM
cana-759	242	8	𝑟2𝜇	𝑟2𝜇	SYM
cana-759	242	9	]	]	X
cana-759	242	10	u=𝑟1	u=𝑟1	PROPN
cana-759	242	11	2	2	NUM
cana-759	242	12	𝑟2	𝑟2	NOUN
cana-759	242	13	2(𝜇	2(𝜇	NUM
cana-759	242	14	−	−	PROPN
cana-759	242	15	𝜆𝐻′(1	𝜆𝐻′(1	PROPN
cana-759	242	16	)	)	PUNCT
cana-759	242	17	)	)	PUNCT
cana-759	242	18	2	2	NUM
cana-759	242	19	we	we	PRON
cana-759	242	20	know	know	VERB
cana-759	242	21	𝑃0(1	𝑃0(1	NOUN
cana-759	242	22	)	)	PUNCT
cana-759	242	23	+	+	CCONJ
cana-759	242	24	𝑃1(1	𝑃1(1	ADJ
cana-759	242	25	)	)	PUNCT
cana-759	242	26	+	+	NUM
cana-759	242	27	𝑃2(1	𝑃2(1	NOUN
cana-759	242	28	)	)	PUNCT
cana-759	242	29	=	=	SYM
cana-759	242	30	1	1	NUM
cana-759	242	31	𝑟1	𝑟1	NOUN
cana-759	242	32	2𝜇𝑃1,0	2𝜇𝑃1,0	PROPN
cana-759	242	33	+	+	CCONJ
cana-759	242	34	𝑟1	𝑟1	NOUN
cana-759	242	35	𝑟2𝜇𝑃2,0	𝑟2𝜇𝑃2,0	VERB
cana-759	243	1	+	+	CCONJ
cana-759	243	2	𝑟2𝜇2𝑃0,1	𝑟2𝜇2𝑃0,1	PROPN
cana-759	243	3	=	=	SYM
cana-759	243	4	𝑟1	𝑟1	PROPN
cana-759	243	5	𝑟2(𝜇	𝑟2(𝜇	NUM
cana-759	243	6	−	−	PROPN
cana-759	243	7	𝜆𝐻′(1))_____________(17	𝜆𝐻′(1))_____________(17	PROPN
cana-759	243	8	)	)	PUNCT
cana-759	243	9	from	from	ADP
cana-759	243	10	(	(	PUNCT
cana-759	243	11	1	1	X
cana-759	243	12	)	)	PUNCT
cana-759	243	13	𝑃2,0	𝑃2,0	NOUN
cana-759	243	14	=	=	SYM
cana-759	243	15	𝑟1	𝑟1	NOUN
cana-759	243	16	𝜆	𝜆	X
cana-759	243	17	𝑃1,0	𝑃1,0	NUM
cana-759	243	18	_	_	PUNCT
cana-759	244	1	_	_	PUNCT
cana-759	245	1	_	_	PUNCT
cana-759	246	1	_	_	PUNCT
cana-759	247	1	_	_	PUNCT
cana-759	248	1	_	_	PUNCT
cana-759	249	1	_	_	PUNCT
cana-759	250	1	_	_	PUNCT
cana-759	251	1	_	_	PUNCT
cana-759	252	1	_	_	PUNCT
cana-759	253	1	_	_	PUNCT
cana-759	254	1	_	_	PUNCT
cana-759	255	1	_	_	PUNCT
cana-759	256	1	_	_	PUNCT
cana-759	256	2	(	(	PUNCT
cana-759	256	3	18	18	NUM
cana-759	256	4	)	)	PUNCT
cana-759	256	5	from	from	ADP
cana-759	256	6	(	(	PUNCT
cana-759	256	7	5	5	NUM
cana-759	256	8	)	)	PUNCT
cana-759	256	9	𝑃0,1	𝑃0,1	NOUN
cana-759	256	10	=	=	SYM
cana-759	256	11	𝜆	𝜆	PROPN
cana-759	257	1	+	+	NUM
cana-759	257	2	𝑟1	𝑟1	NOUN
cana-759	257	3	𝜇	𝜇	ADP
cana-759	257	4	𝑃1,0	𝑃1,0	NUM
cana-759	257	5	_	_	PUNCT
cana-759	258	1	_	_	PUNCT
cana-759	259	1	_	_	PUNCT
cana-759	260	1	_	_	PUNCT
cana-759	261	1	_	_	PUNCT
cana-759	262	1	_	_	PUNCT
cana-759	263	1	_	_	PUNCT
cana-759	264	1	_	_	PUNCT
cana-759	265	1	_	_	PUNCT
cana-759	266	1	_	_	PUNCT
cana-759	267	1	_	_	PUNCT
cana-759	268	1	_	_	PUNCT
cana-759	269	1	_	_	PUNCT
cana-759	269	2	(	(	PUNCT
cana-759	269	3	19	19	NUM
cana-759	269	4	)	)	PUNCT
cana-759	269	5	sub	sub	NOUN
cana-759	269	6	(	(	PUNCT
cana-759	269	7	18	18	NUM
cana-759	269	8	)	)	PUNCT
cana-759	269	9	&	&	CCONJ
cana-759	269	10	(	(	PUNCT
cana-759	269	11	19	19	NUM
cana-759	269	12	)	)	PUNCT
cana-759	269	13	in	in	ADP
cana-759	269	14	(	(	PUNCT
cana-759	269	15	17	17	NUM
cana-759	269	16	)	)	PUNCT
cana-759	269	17	communications	communication	NOUN
cana-759	269	18	on	on	ADP
cana-759	269	19	applied	apply	VERB
cana-759	269	20	nonlinear	nonlinear	ADJ
cana-759	269	21	analysis	analysis	NOUN
cana-759	269	22	issn	issn	NOUN
cana-759	269	23	:	:	PUNCT
cana-759	269	24	1074	1074	NUM
cana-759	269	25	-	-	PUNCT
cana-759	269	26	133x	133x	NUM
cana-759	269	27	vol	vol	NOUN
cana-759	269	28	31	31	NUM
cana-759	269	29	no	no	NOUN
cana-759	269	30	.	.	PUNCT
cana-759	270	1	3s	3s	NUM
cana-759	270	2	(	(	PUNCT
cana-759	270	3	2024	2024	NUM
cana-759	270	4	)	)	PUNCT
cana-759	270	5	201	201	NUM
cana-759	270	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	270	7	𝑃1,0	𝑃1,0	NUM
cana-759	270	8	=	=	SYM
cana-759	270	9	𝑟1	𝑟1	NOUN
cana-759	270	10	𝑟2𝜆[𝜇	𝑟2𝜆[𝜇	NOUN
cana-759	270	11	−	−	PROPN
cana-759	270	12	𝜆𝐻′(1	𝜆𝐻′(1	PROPN
cana-759	270	13	)	)	PUNCT
cana-759	270	14	]	]	PUNCT
cana-759	270	15	𝜇[𝑟1	𝜇[𝑟1	NOUN
cana-759	270	16	2	2	NUM
cana-759	270	17	𝜆	𝜆	NOUN
cana-759	270	18	+	+	CCONJ
cana-759	270	19	𝑟1	𝑟1	NOUN
cana-759	270	20	2	2	NUM
cana-759	270	21	𝑟2	𝑟2	NOUN
cana-759	270	22	2	2	NUM
cana-759	270	23	+	+	CCONJ
cana-759	270	24	𝜆2𝑟2	𝜆2𝑟2	X
cana-759	270	25	+	+	CCONJ
cana-759	270	26	𝑟1	𝑟1	PROPN
cana-759	270	27	𝑟2𝜆	𝑟2𝜆	NOUN
cana-759	270	28	]	]	X
cana-759	271	1	_	_	PUNCT
cana-759	272	1	_	_	PUNCT
cana-759	273	1	_	_	PUNCT
cana-759	274	1	_	_	PUNCT
cana-759	275	1	_	_	PUNCT
cana-759	276	1	_	_	PUNCT
cana-759	277	1	_	_	PUNCT
cana-759	278	1	_	_	PUNCT
cana-759	279	1	_	_	PUNCT
cana-759	280	1	_	_	PUNCT
cana-759	281	1	_	_	PUNCT
cana-759	282	1	_	_	PUNCT
cana-759	283	1	_	_	PUNCT
cana-759	284	1	_	_	PUNCT
cana-759	285	1	_	_	PUNCT
cana-759	285	2	(	(	PUNCT
cana-759	285	3	20	20	NUM
cana-759	285	4	)	)	PUNCT
cana-759	285	5	𝑃0,1	𝑃0,1	NOUN
cana-759	285	6	=	=	SYM
cana-759	285	7	(	(	PUNCT
cana-759	285	8	𝜆	𝜆	X
cana-759	285	9	+	+	X
cana-759	285	10	𝑟1)𝜌𝑟1	𝑟1)𝜌𝑟1	NOUN
cana-759	285	11	𝑟2(𝜇	𝑟2(𝜇	NUM
cana-759	285	12	−	−	NUM
cana-759	285	13	𝜆𝐻(1	𝜆𝐻(1	NUM
cana-759	285	14	)	)	PUNCT
cana-759	285	15	)	)	PUNCT
cana-759	285	16	𝜇	𝜇	ADP
cana-759	285	17	[	[	PUNCT
cana-759	285	18	𝜆𝑟1	𝜆𝑟1	NOUN
cana-759	285	19	2	2	NUM
cana-759	285	20	+	+	NUM
cana-759	285	21	𝑟1	𝑟1	NOUN
cana-759	285	22	𝑟2	𝑟2	NOUN
cana-759	285	23	2	2	NUM
cana-759	285	24	+	+	CCONJ
cana-759	285	25	𝜆2𝑟2	𝜆2𝑟2	X
cana-759	285	26	+	+	CCONJ
cana-759	285	27	𝑟1	𝑟1	PROPN
cana-759	285	28	𝑟2𝜆	𝑟2𝜆	NOUN
cana-759	285	29	]	]	X
cana-759	286	1	_	_	PUNCT
cana-759	287	1	_	_	PUNCT
cana-759	288	1	_	_	PUNCT
cana-759	289	1	_	_	PUNCT
cana-759	290	1	_	_	PUNCT
cana-759	291	1	_	_	PUNCT
cana-759	292	1	_	_	PUNCT
cana-759	293	1	_	_	PUNCT
cana-759	294	1	_	_	PUNCT
cana-759	295	1	_	_	PUNCT
cana-759	296	1	_	_	PUNCT
cana-759	297	1	_	_	PUNCT
cana-759	298	1	_	_	PUNCT
cana-759	299	1	_	_	PUNCT
cana-759	299	2	(	(	PUNCT
cana-759	299	3	21	21	NUM
cana-759	299	4	)	)	PUNCT
cana-759	299	5	equation	equation	NOUN
cana-759	299	6	(	(	PUNCT
cana-759	299	7	16	16	NUM
cana-759	299	8	)	)	PUNCT
cana-759	299	9	𝑃0′(1	𝑃0′(1	ADJ
cana-759	299	10	)	)	PUNCT
cana-759	299	11	and	and	CCONJ
cana-759	299	12	𝑃1′(𝑧	𝑃1′(𝑧	PROPN
cana-759	299	13	)	)	PUNCT
cana-759	299	14	=	=	PRON
cana-759	299	15	𝜇𝑃0,1[𝜆(1	𝜇𝑃0,1[𝜆(1	NUM
cana-759	299	16	−	−	PRON
cana-759	299	17	𝐻(𝑧	𝐻(𝑧	NUM
cana-759	299	18	)	)	PUNCT
cana-759	299	19	)	)	PUNCT
cana-759	300	1	+	+	CCONJ
cana-759	300	2	𝑟1	𝑟1	NOUN
cana-759	300	3	]	]	X
cana-759	300	4	−2	−2	PROPN
cana-759	300	5	𝐻′(𝑧	𝐻′(𝑧	PROPN
cana-759	300	6	)	)	PUNCT
cana-759	300	7	𝑃1	𝑃1	NOUN
cana-759	300	8	′(1	′(1	PROPN
cana-759	300	9	)	)	PUNCT
cana-759	300	10	=	=	SYM
cana-759	300	11	𝜇𝑃0,1𝐻′(1	𝜇𝑃0,1𝐻′(1	ADJ
cana-759	300	12	)	)	PUNCT
cana-759	300	13	𝑟1	𝑟1	NOUN
cana-759	300	14	2	2	NUM
cana-759	300	15	and	and	CCONJ
cana-759	300	16	𝑃2	𝑃2	ADJ
cana-759	300	17	′(𝑧	′(𝑧	NOUN
cana-759	300	18	)	)	PUNCT
cana-759	300	19	=	=	PUNCT
cana-759	301	1	[	[	X
cana-759	301	2	𝑟1𝑃1,0	𝑟1𝑃1,0	X
cana-759	301	3	+	+	CCONJ
cana-759	301	4	𝑟2𝑃2,0][𝜆(1	𝑟2𝑃2,0][𝜆(1	PROPN
cana-759	301	5	−	−	NOUN
cana-759	301	6	𝐻(𝑧	𝐻(𝑧	NUM
cana-759	301	7	)	)	PUNCT
cana-759	301	8	)	)	PUNCT
cana-759	302	1	+	+	NUM
cana-759	302	2	𝑟2	𝑟2	NOUN
cana-759	302	3	]	]	PUNCT
cana-759	302	4	−2	−2	PROPN
cana-759	302	5	𝐻′(𝑧	𝐻′(𝑧	PROPN
cana-759	302	6	)	)	PUNCT
cana-759	302	7	𝑃2	𝑃2	PROPN
cana-759	302	8	′(1	′(1	PROPN
cana-759	302	9	)	)	PUNCT
cana-759	302	10	=	=	PUNCT
cana-759	302	11	𝑟1𝑃1,0	𝑟1𝑃1,0	NOUN
cana-759	302	12	+	+	CCONJ
cana-759	302	13	𝑟2𝑃2,0	𝑟2𝑃2,0	VERB
cana-759	302	14	𝑟2	𝑟2	NOUN
cana-759	302	15	2	2	NUM
cana-759	302	16	𝐻′(1	𝐻′(1	NOUN
cana-759	302	17	)	)	PUNCT
cana-759	302	18	now	now	ADV
cana-759	302	19	,	,	PUNCT
cana-759	302	20	customers	customer	NOUN
cana-759	302	21	count	count	VERB
cana-759	302	22	in	in	ADP
cana-759	302	23	the	the	DET
cana-759	302	24	system=𝐸(𝑋	system=𝐸(𝑋	NOUN
cana-759	302	25	)	)	PUNCT
cana-759	302	26	=	=	SYM
cana-759	302	27	𝑃0	𝑃0	NOUN
cana-759	302	28	′(1	′(1	PROPN
cana-759	302	29	)	)	PUNCT
cana-759	302	30	+	+	NUM
cana-759	302	31	𝑃1	𝑃1	NOUN
cana-759	302	32	′(1	′(1	PROPN
cana-759	302	33	)	)	PUNCT
cana-759	302	34	+	+	NUM
cana-759	302	35	𝑃2	𝑃2	PROPN
cana-759	302	36	′(1	′(1	PROPN
cana-759	302	37	)	)	PUNCT
cana-759	302	38	4	4	NUM
cana-759	302	39	.	.	PUNCT
cana-759	302	40	reliability	reliability	NOUN
cana-759	302	41	measures	measure	NOUN
cana-759	302	42	:	:	PUNCT
cana-759	302	43	here	here	ADV
cana-759	302	44	,	,	PUNCT
cana-759	302	45	we	we	PRON
cana-759	302	46	discuss	discuss	VERB
cana-759	302	47	few	few	ADJ
cana-759	302	48	reliability	reliability	NOUN
cana-759	302	49	pointers	pointer	NOUN
cana-759	302	50	of	of	ADP
cana-759	302	51	this	this	DET
cana-759	302	52	model	model	NOUN
cana-759	302	53	under	under	ADP
cana-759	302	54	deliberation	deliberation	NOUN
cana-759	302	55	.	.	PUNCT
cana-759	303	1	specifically	specifically	ADV
cana-759	303	2	,	,	PUNCT
cana-759	303	3	we	we	PRON
cana-759	303	4	examine	examine	VERB
cana-759	303	5	the	the	DET
cana-759	303	6	accessibility	accessibility	NOUN
cana-759	303	7	of	of	ADP
cana-759	303	8	the	the	DET
cana-759	303	9	server	server	NOUN
cana-759	303	10	,	,	PUNCT
cana-759	303	11	the	the	DET
cana-759	303	12	failure	failure	NOUN
cana-759	303	13	of	of	ADP
cana-759	303	14	the	the	DET
cana-759	303	15	server	server	NOUN
cana-759	303	16	.	.	PUNCT
cana-759	304	1	accessibility	accessibility	NOUN
cana-759	304	2	is	be	AUX
cana-759	304	3	probability	probability	NOUN
cana-759	304	4	of	of	ADP
cana-759	304	5	the	the	DET
cana-759	304	6	system	system	NOUN
cana-759	304	7	operating	operate	VERB
cana-759	304	8	rightly	rightly	ADV
cana-759	304	9	when	when	SCONJ
cana-759	304	10	it	it	PRON
cana-759	304	11	is	be	AUX
cana-759	304	12	asked	ask	VERB
cana-759	304	13	to	to	PART
cana-759	304	14	use	use	VERB
cana-759	304	15	it	it	PRON
cana-759	304	16	and	and	CCONJ
cana-759	304	17	server	server	NOUN
cana-759	304	18	failure	failure	NOUN
cana-759	304	19	rate	rate	NOUN
cana-759	304	20	is	be	AUX
cana-759	304	21	probability	probability	NOUN
cana-759	304	22	of	of	ADP
cana-759	304	23	system	system	NOUN
cana-759	304	24	will	will	AUX
cana-759	304	25	not	not	PART
cana-759	304	26	work	work	VERB
cana-759	304	27	correctly	correctly	ADV
cana-759	304	28	.	.	PUNCT
cana-759	305	1	let	let	AUX
cana-759	305	2	p(t	p(t	NOUN
cana-759	305	3	)	)	PUNCT
cana-759	305	4	be	be	AUX
cana-759	305	5	probability	probability	NOUN
cana-759	305	6	of	of	ADP
cana-759	305	7	the	the	DET
cana-759	305	8	server	server	NOUN
cana-759	305	9	either	either	CCONJ
cana-759	305	10	serving	serve	VERB
cana-759	305	11	to	to	ADP
cana-759	305	12	a	a	DET
cana-759	305	13	customer	customer	NOUN
cana-759	305	14	or	or	CCONJ
cana-759	305	15	idle	idle	ADJ
cana-759	305	16	or	or	CCONJ
cana-759	305	17	on	on	ADP
cana-759	305	18	vacation	vacation	NOUN
cana-759	305	19	.	.	PUNCT
cana-759	306	1	steady	steady	ADJ
cana-759	306	2	state	state	NOUN
cana-759	306	3	availability	availability	NOUN
cana-759	306	4	defined	define	VERB
cana-759	306	5	by	by	ADP
cana-759	306	6	𝜌	𝜌	X
cana-759	306	7	<	<	X
cana-759	306	8	1.figure	1.figure	NUM
cana-759	306	9	1	1	NUM
cana-759	306	10	illustrate	illustrate	VERB
cana-759	306	11	the	the	DET
cana-759	306	12	availability	availability	NOUN
cana-759	306	13	of	of	ADP
cana-759	306	14	the	the	DET
cana-759	306	15	server	server	NOUN
cana-759	306	16	against	against	ADP
cana-759	306	17	service	service	NOUN
cana-759	306	18	rate	rate	NOUN
cana-759	306	19	𝜇.	𝜇.	NOUN
cana-759	307	1	we	we	PRON
cana-759	307	2	observe	observe	VERB
cana-759	307	3	that	that	SCONJ
cana-759	307	4	the	the	DET
cana-759	307	5	availability	availability	NOUN
cana-759	307	6	of	of	ADP
cana-759	307	7	the	the	DET
cana-759	307	8	server	server	NOUN
cana-759	307	9	under	under	ADP
cana-759	307	10	steady	steady	ADJ
cana-759	307	11	state	state	NOUN
cana-759	307	12	decreases	decrease	NOUN
cana-759	307	13	with	with	ADP
cana-759	307	14	increase	increase	NOUN
cana-759	307	15	in	in	ADP
cana-759	307	16	the	the	DET
cana-759	307	17	arrival	arrival	NOUN
cana-759	307	18	rate	rate	NOUN
cana-759	307	19	𝜆	𝜆	NOUN
cana-759	307	20	for	for	ADP
cana-759	307	21	the	the	DET
cana-759	307	22	three	three	NUM
cana-759	307	23	different	different	ADJ
cana-759	307	24	values	value	NOUN
cana-759	307	25	of	of	ADP
cana-759	307	26	𝜆	𝜆	NOUN
cana-759	307	27	=	=	SYM
cana-759	307	28	2	2	NUM
cana-759	307	29	,	,	PUNCT
cana-759	307	30	2.1	2.1	NUM
cana-759	307	31	and	and	CCONJ
cana-759	307	32	2.2	2.2	NUM
cana-759	307	33	as	as	SCONJ
cana-759	307	34	expected	expect	VERB
cana-759	307	35	.	.	PUNCT
cana-759	308	1	figure	figure	NOUN
cana-759	308	2	2	2	NUM
cana-759	308	3	.	.	NOUN
cana-759	308	4	depicts	depict	VERB
cana-759	308	5	variation	variation	NOUN
cana-759	308	6	of	of	ADP
cana-759	308	7	the	the	DET
cana-759	308	8	failure	failure	NOUN
cana-759	308	9	frequency	frequency	NOUN
cana-759	308	10	of	of	ADP
cana-759	308	11	the	the	DET
cana-759	308	12	server	server	NOUN
cana-759	308	13	against	against	ADP
cana-759	308	14	the	the	DET
cana-759	308	15	arrival	arrival	NOUN
cana-759	308	16	rate	rate	NOUN
cana-759	308	17	𝜆	𝜆	NOUN
cana-759	308	18	for	for	ADP
cana-759	308	19	three	three	NUM
cana-759	308	20	different	different	ADJ
cana-759	308	21	values	value	NOUN
cana-759	308	22	of	of	ADP
cana-759	308	23	the	the	DET
cana-759	308	24	primary	primary	ADJ
cana-759	308	25	vacation	vacation	NOUN
cana-759	308	26	rate	rate	NOUN
cana-759	308	27	𝑟1=0.1,0.12	𝑟1=0.1,0.12	PROPN
cana-759	308	28	and	and	CCONJ
cana-759	308	29	0.13	0.13	NUM
cana-759	308	30	.	.	PUNCT
cana-759	309	1	as	as	SCONJ
cana-759	309	2	we	we	PRON
cana-759	309	3	expect	expect	VERB
cana-759	309	4	the	the	DET
cana-759	309	5	failure	failure	NOUN
cana-759	309	6	frequency	frequency	NOUN
cana-759	309	7	of	of	ADP
cana-759	309	8	the	the	DET
cana-759	309	9	server	server	NOUN
cana-759	309	10	increases	increase	NOUN
cana-759	309	11	with	with	ADP
cana-759	309	12	increasing	increase	VERB
cana-759	309	13	in	in	ADP
cana-759	309	14	the	the	DET
cana-759	309	15	arrival	arrival	NOUN
cana-759	309	16	rate	rate	NOUN
cana-759	309	17	𝜆.	𝜆.	VERB
cana-759	310	1	the	the	DET
cana-759	310	2	server	server	NOUN
cana-759	310	3	accessibility	accessibility	NOUN
cana-759	310	4	is	be	AUX
cana-759	310	5	,	,	PUNCT
cana-759	310	6	availability	availability	NOUN
cana-759	310	7	a=	a=	NOUN
cana-759	310	8	p0(1	p0(1	NOUN
cana-759	310	9	)	)	PUNCT
cana-759	310	10	it	it	PRON
cana-759	310	11	is	be	AUX
cana-759	310	12	shown	show	VERB
cana-759	310	13	in	in	ADP
cana-759	310	14	figure	figure	NOUN
cana-759	310	15	1	1	NUM
cana-759	310	16	.	.	PUNCT
cana-759	311	1	the	the	DET
cana-759	311	2	server	server	NOUN
cana-759	311	3	failure	failure	NOUN
cana-759	311	4	frequency	frequency	NOUN
cana-759	311	5	is	be	AUX
cana-759	311	6	,	,	PUNCT
cana-759	311	7	failure	failure	NOUN
cana-759	311	8	f	f	NOUN
cana-759	311	9	=	=	SYM
cana-759	311	10	p1(1	p1(1	ADJ
cana-759	311	11	)	)	PUNCT
cana-759	311	12	+	+	NOUN
cana-759	311	13	p2(1	p2(1	NOUN
cana-759	311	14	)	)	PUNCT
cana-759	311	15	it	it	PRON
cana-759	311	16	is	be	AUX
cana-759	311	17	shown	show	VERB
cana-759	311	18	in	in	ADP
cana-759	311	19	figure	figure	NOUN
cana-759	311	20	2	2	NUM
cana-759	311	21	.	.	X
cana-759	311	22	fig.1	fig.1	PROPN
cana-759	311	23	&	&	CCONJ
cana-759	311	24	2	2	NUM
cana-759	311	25	-	-	PUNCT
cana-759	311	26	availability	availability	NOUN
cana-759	311	27	and	and	CCONJ
cana-759	311	28	failure	failure	NOUN
cana-759	311	29	of	of	ADP
cana-759	311	30	server	server	NOUN
cana-759	311	31	communications	communication	NOUN
cana-759	311	32	on	on	ADP
cana-759	311	33	applied	apply	VERB
cana-759	311	34	nonlinear	nonlinear	ADJ
cana-759	311	35	analysis	analysis	NOUN
cana-759	311	36	issn	issn	NOUN
cana-759	311	37	:	:	PUNCT
cana-759	311	38	1074	1074	NUM
cana-759	311	39	-	-	PUNCT
cana-759	311	40	133x	133x	NUM
cana-759	311	41	vol	vol	NOUN
cana-759	311	42	31	31	NUM
cana-759	311	43	no	no	NOUN
cana-759	311	44	.	.	PUNCT
cana-759	312	1	3s	3s	NUM
cana-759	312	2	(	(	PUNCT
cana-759	312	3	2024	2024	NUM
cana-759	312	4	)	)	PUNCT
cana-759	312	5	202	202	NUM
cana-759	312	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	312	7	5	5	X
cana-759	312	8	.	.	PUNCT
cana-759	312	9	performance	performance	NOUN
cana-759	312	10	measure	measure	NOUN
cana-759	312	11	:	:	PUNCT
cana-759	312	12	various	various	ADJ
cana-759	312	13	measures	measure	NOUN
cana-759	312	14	of	of	ADP
cana-759	312	15	system	system	NOUN
cana-759	312	16	performance	performance	NOUN
cana-759	312	17	can	can	AUX
cana-759	312	18	be	be	AUX
cana-759	312	19	developed	develop	VERB
cana-759	312	20	from	from	ADP
cana-759	312	21	the	the	DET
cana-759	312	22	steady	steady	ADJ
cana-759	312	23	state	state	NOUN
cana-759	312	24	distribution	distribution	NOUN
cana-759	312	25	.	.	PUNCT
cana-759	313	1	1	1	X
cana-759	313	2	.	.	X
cana-759	313	3	expected	expected	ADJ
cana-759	313	4	customers	customer	NOUN
cana-759	313	5	count	count	VERB
cana-759	313	6	in	in	ADP
cana-759	313	7	system	system	NOUN
cana-759	313	8	𝐸(𝑋	𝐸(𝑋	NOUN
cana-759	313	9	)	)	PUNCT
cana-759	313	10	=	=	PROPN
cana-759	313	11	𝑃0	𝑃0	NOUN
cana-759	313	12	′(1	′(1	PROPN
cana-759	313	13	)	)	PUNCT
cana-759	313	14	+	+	NUM
cana-759	313	15	𝑃1	𝑃1	NOUN
cana-759	313	16	′(1	′(1	PROPN
cana-759	313	17	)	)	PUNCT
cana-759	313	18	+	+	NUM
cana-759	313	19	𝑃2	𝑃2	PROPN
cana-759	313	20	′(1	′(1	PROPN
cana-759	313	21	)	)	PUNCT
cana-759	313	22	=	=	PUNCT
cana-759	314	1	∑	∑	PUNCT
cana-759	314	2	𝑛	𝑛	DET
cana-759	314	3	∞	∞	NUM
cana-759	314	4	𝑛=0	𝑛=0	PROPN
cana-759	315	1	𝑃𝑛	𝑃𝑛	PROPN
cana-759	315	2	2	2	NUM
cana-759	315	3	.	.	PUNCT
cana-759	315	4	expected	expect	VERB
cana-759	315	5	customers	customer	NOUN
cana-759	315	6	count	count	VERB
cana-759	315	7	in	in	ADP
cana-759	315	8	queue	queue	NOUN
cana-759	315	9	:	:	PUNCT
cana-759	315	10	𝐸(𝑄	𝐸(𝑄	NUM
cana-759	315	11	)	)	PUNCT
cana-759	315	12	=	=	PUNCT
cana-759	316	1	∑	∑	PUNCT
cana-759	316	2	(	(	PUNCT
cana-759	316	3	𝑛	𝑛	DET
cana-759	316	4	−	−	PROPN
cana-759	316	5	1)∞	1)∞	NUM
cana-759	316	6	𝑛=1	𝑛=1	NOUN
cana-759	316	7	𝑃𝑛	𝑃𝑛	PROPN
cana-759	316	8	3	3	NUM
cana-759	316	9	.	.	PUNCT
cana-759	316	10	expected	expect	VERB
cana-759	316	11	waiting	waiting	NOUN
cana-759	316	12	time	time	NOUN
cana-759	316	13	of	of	ADP
cana-759	316	14	a	a	DET
cana-759	316	15	clients	client	NOUN
cana-759	316	16	in	in	ADP
cana-759	316	17	system	system	NOUN
cana-759	316	18	𝐸(𝑊𝑠	𝐸(𝑊𝑠	ADV
cana-759	316	19	)	)	PUNCT
cana-759	316	20	=	=	SYM
cana-759	316	21	𝐸(𝑋	𝐸(𝑋	NOUN
cana-759	316	22	)	)	PUNCT
cana-759	316	23	𝜆	𝜆	PRON
cana-759	316	24	4	4	X
cana-759	316	25	.	.	PUNCT
cana-759	316	26	expected	expect	VERB
cana-759	316	27	waiting	waiting	NOUN
cana-759	316	28	t	t	PROPN
cana-759	316	29	(	(	PUNCT
cana-759	316	30	time	time	NOUN
cana-759	316	31	)	)	PUNCT
cana-759	316	32	of	of	ADP
cana-759	316	33	a	a	DET
cana-759	316	34	customer	customer	NOUN
cana-759	316	35	in	in	ADP
cana-759	316	36	queue	queue	NOUN
cana-759	316	37	𝐸(𝑊𝑞	𝐸(𝑊𝑞	ADJ
cana-759	316	38	)	)	PUNCT
cana-759	316	39	=	=	SYM
cana-759	316	40	𝐸(𝑄	𝐸(𝑄	PROPN
cana-759	316	41	)	)	PUNCT
cana-759	316	42	𝜆	𝜆	DET
cana-759	316	43	5	5	NUM
cana-759	316	44	.	.	PUNCT
cana-759	317	1	the	the	DET
cana-759	317	2	fraction	fraction	NOUN
cana-759	317	3	of	of	ADP
cana-759	317	4	t(time	t(time	NOUN
cana-759	317	5	)	)	PUNCT
cana-759	317	6	,	,	PUNCT
cana-759	317	7	the	the	DET
cana-759	317	8	server	server	NOUN
cana-759	317	9	is	be	AUX
cana-759	317	10	in	in	ADP
cana-759	317	11	normal	normal	ADJ
cana-759	317	12	use	use	NOUN
cana-759	317	13	𝑄0	𝑄0	X
cana-759	318	1	=	=	SYM
cana-759	318	2	𝑃0	𝑃0	PROPN
cana-759	318	3	(	(	PUNCT
cana-759	318	4	1	1	NUM
cana-759	318	5	)	)	PUNCT
cana-759	318	6	6	6	NUM
cana-759	318	7	.	.	PUNCT
cana-759	319	1	the	the	DET
cana-759	319	2	fraction	fraction	NOUN
cana-759	319	3	of	of	ADP
cana-759	319	4	t(time	t(time	NOUN
cana-759	319	5	)	)	PUNCT
cana-759	319	6	,	,	PUNCT
cana-759	319	7	the	the	DET
cana-759	319	8	server	server	NOUN
cana-759	319	9	in	in	ADP
cana-759	319	10	primary	primary	ADJ
cana-759	319	11	vacation	vacation	NOUN
cana-759	319	12	𝑄1	𝑄1	NOUN
cana-759	319	13	=	=	PUNCT
cana-759	319	14	𝑃1	𝑃1	NOUN
cana-759	319	15	(	(	PUNCT
cana-759	319	16	1	1	NUM
cana-759	319	17	)	)	PUNCT
cana-759	319	18	7	7	NUM
cana-759	319	19	.	.	PUNCT
cana-759	320	1	the	the	DET
cana-759	320	2	fraction	fraction	NOUN
cana-759	320	3	of	of	ADP
cana-759	320	4	t(time	t(time	NOUN
cana-759	320	5	)	)	PUNCT
cana-759	320	6	,	,	PUNCT
cana-759	320	7	server	server	NOUN
cana-759	320	8	being	be	AUX
cana-759	320	9	secondary	secondary	ADJ
cana-759	320	10	vacation	vacation	NOUN
cana-759	320	11	𝑄2	𝑄2	NOUN
cana-759	321	1	=	=	SYM
cana-759	321	2	𝑃2(1	𝑃2(1	NOUN
cana-759	321	3	)	)	PUNCT
cana-759	321	4	6	6	NUM
cana-759	321	5	.	.	PUNCT
cana-759	321	6	numerical	numerical	ADJ
cana-759	321	7	analysis	analysis	NOUN
cana-759	321	8	:	:	PUNCT
cana-759	321	9	here	here	ADV
cana-759	321	10	is	be	AUX
cana-759	321	11	the	the	DET
cana-759	321	12	numeric	numeric	ADJ
cana-759	321	13	expression	expression	NOUN
cana-759	321	14	for	for	ADP
cana-759	321	15	different	different	ADJ
cana-759	321	16	performance	performance	NOUN
cana-759	321	17	indices	index	NOUN
cana-759	321	18	that	that	PRON
cana-759	321	19	are	be	AUX
cana-759	321	20	provided	provide	VERB
cana-759	321	21	.	.	PUNCT
cana-759	322	1	figure	figure	NOUN
cana-759	322	2	3	3	NUM
cana-759	322	3	is	be	AUX
cana-759	322	4	a	a	DET
cana-759	322	5	representation	representation	NOUN
cana-759	322	6	of	of	ADP
cana-759	322	7	the	the	DET
cana-759	322	8	relationship	relationship	NOUN
cana-759	322	9	between	between	ADP
cana-759	322	10	the	the	DET
cana-759	322	11	server	server	NOUN
cana-759	322	12	's	's	PART
cana-759	322	13	service	service	NOUN
cana-759	322	14	rate	rate	NOUN
cana-759	322	15	𝜇	𝜇	ADP
cana-759	322	16	and	and	CCONJ
cana-759	322	17	arrival	arrival	NOUN
cana-759	322	18	rate	rate	NOUN
cana-759	322	19	𝜆	𝜆	PRON
cana-759	322	20	.	.	PUNCT
cana-759	323	1	figure	figure	NOUN
cana-759	323	2	4	4	NUM
cana-759	323	3	is	be	AUX
cana-759	323	4	a	a	DET
cana-759	323	5	representation	representation	NOUN
cana-759	323	6	of	of	ADP
cana-759	323	7	the	the	DET
cana-759	323	8	relationship	relationship	NOUN
cana-759	323	9	between	between	ADP
cana-759	323	10	the	the	DET
cana-759	323	11	service	service	NOUN
cana-759	323	12	rate	rate	NOUN
cana-759	323	13	𝜇	𝜇	ADP
cana-759	323	14	,	,	PUNCT
cana-759	323	15	the	the	DET
cana-759	323	16	primary	primary	ADJ
cana-759	323	17	vacation	vacation	NOUN
cana-759	323	18	rate	rate	NOUN
cana-759	323	19	𝑟1	𝑟1	NOUN
cana-759	323	20	,	,	PUNCT
cana-759	323	21	and	and	CCONJ
cana-759	323	22	the	the	DET
cana-759	323	23	arrival	arrival	NOUN
cana-759	323	24	rate	rate	NOUN
cana-759	323	25	𝜆.	𝜆.	PROPN
cana-759	323	26	figure	figure	NOUN
cana-759	323	27	5	5	NUM
cana-759	323	28	is	be	AUX
cana-759	323	29	a	a	DET
cana-759	323	30	representation	representation	NOUN
cana-759	323	31	of	of	ADP
cana-759	323	32	the	the	DET
cana-759	323	33	relationship	relationship	NOUN
cana-759	323	34	between	between	ADP
cana-759	323	35	the	the	DET
cana-759	323	36	service	service	NOUN
cana-759	323	37	rate	rate	NOUN
cana-759	323	38	𝜇	𝜇	ADP
cana-759	323	39	,	,	PUNCT
cana-759	323	40	secondary	secondary	ADJ
cana-759	323	41	vacation	vacation	NOUN
cana-759	323	42	rate	rate	NOUN
cana-759	323	43	𝑟2	𝑟2	NOUN
cana-759	323	44	,	,	PUNCT
cana-759	323	45	and	and	CCONJ
cana-759	323	46	arrival	arrival	NOUN
cana-759	323	47	rate	rate	NOUN
cana-759	323	48	𝜆.	𝜆.	VERB
cana-759	323	49	the	the	DET
cana-759	323	50	picture	picture	NOUN
cana-759	323	51	6	6	NUM
cana-759	323	52	is	be	AUX
cana-759	323	53	for	for	ADP
cana-759	323	54	𝑟1=	𝑟1=	PROPN
cana-759	323	55	0.1	0.1	NUM
cana-759	323	56	,	,	PUNCT
cana-759	323	57	𝑟2	𝑟2	NOUN
cana-759	323	58	=	=	SYM
cana-759	323	59	0.2	0.2	NUM
cana-759	323	60	,	,	PUNCT
cana-759	323	61	and	and	CCONJ
cana-759	323	62	𝐻	𝐻	PROPN
cana-759	323	63	’	'	PUNCT
cana-759	323	64	(	(	PUNCT
cana-759	323	65	1	1	NUM
cana-759	323	66	)	)	PUNCT
cana-759	323	67	=	=	NOUN
cana-759	323	68	0.1	0.1	NUM
cana-759	323	69	.	.	PUNCT
cana-759	324	1	here	here	ADV
cana-759	324	2	,	,	PUNCT
cana-759	324	3	the	the	DET
cana-759	324	4	value	value	NOUN
cana-759	324	5	𝑃0,1	𝑃0,1	NOUN
cana-759	324	6	decreases	decrease	VERB
cana-759	324	7	as	as	ADP
cana-759	324	8	𝜇	𝜇	ADP
cana-759	324	9	increases	increase	NOUN
cana-759	324	10	.	.	PUNCT
cana-759	325	1	it	it	PRON
cana-759	325	2	shows	show	VERB
cana-759	325	3	the	the	DET
cana-759	325	4	effect	effect	NOUN
cana-759	325	5	of	of	ADP
cana-759	325	6	the	the	DET
cana-759	325	7	service	service	NOUN
cana-759	325	8	rate	rate	NOUN
cana-759	325	9	𝜇	𝜇	ADP
cana-759	325	10	on	on	ADP
cana-759	325	11	the	the	DET
cana-759	325	12	steady	steady	ADJ
cana-759	325	13	-	-	PUNCT
cana-759	325	14	state	state	NOUN
cana-759	325	15	probability	probability	NOUN
cana-759	325	16	𝑃0,1	𝑃0,1	NOUN
cana-759	325	17	.	.	PUNCT
cana-759	326	1	we	we	PRON
cana-759	326	2	can	can	AUX
cana-759	326	3	see	see	VERB
cana-759	326	4	that	that	SCONJ
cana-759	326	5	all	all	DET
cana-759	326	6	three	three	NUM
cana-759	326	7	probability	probability	NOUN
cana-759	326	8	curves	curve	NOUN
cana-759	326	9	for	for	ADP
cana-759	326	10	𝑃0,1decrease	𝑃0,1decrease	NOUN
cana-759	326	11	as	as	SCONJ
cana-759	326	12	the	the	DET
cana-759	326	13	probability	probability	NOUN
cana-759	326	14	increases	increase	VERB
cana-759	326	15	the	the	DET
cana-759	326	16	value	value	NOUN
cana-759	326	17	of	of	ADP
cana-759	326	18	service	service	NOUN
cana-759	326	19	rate	rate	NOUN
cana-759	326	20	𝜇.	𝜇.	NOUN
cana-759	326	21	we	we	PRON
cana-759	326	22	also	also	ADV
cana-759	326	23	see	see	VERB
cana-759	326	24	a	a	DET
cana-759	326	25	rapid	rapid	ADJ
cana-759	326	26	decline	decline	NOUN
cana-759	326	27	probability	probability	NOUN
cana-759	326	28	curve	curve	NOUN
cana-759	326	29	𝑃0,1for	𝑃0,1for	ADP
cana-759	326	30	𝜆	𝜆	NOUN
cana-759	326	31	=	=	SYM
cana-759	326	32	0.1	0.1	NUM
cana-759	326	33	,	,	PUNCT
cana-759	326	34	probability	probability	NOUN
cana-759	326	35	curve	curve	NOUN
cana-759	326	36	decreases	decrease	VERB
cana-759	326	37	from	from	ADP
cana-759	326	38	𝑃0,1	𝑃0,1	NOUN
cana-759	326	39	.	.	PUNCT
cana-759	327	1	it	it	PRON
cana-759	327	2	is	be	AUX
cana-759	327	3	slower	slow	ADJ
cana-759	327	4	for	for	ADP
cana-759	327	5	𝜆	𝜆	NOUN
cana-759	327	6	=	=	SYM
cana-759	327	7	0.2	0.2	NUM
cana-759	327	8	and	and	CCONJ
cana-759	327	9	𝜆	𝜆	NOUN
cana-759	327	10	=	=	NOUN
cana-759	327	11	0.4	0.4	NUM
cana-759	327	12	when	when	SCONJ
cana-759	327	13	𝑟1=	𝑟1=	PROPN
cana-759	327	14	0.1	0.1	NUM
cana-759	327	15	,	,	PUNCT
cana-759	327	16	𝑟2=	𝑟2=	NUM
cana-759	327	17	0.2	0.2	NUM
cana-759	327	18	,	,	PUNCT
cana-759	327	19	𝐻	𝐻	NOUN
cana-759	327	20	’	'	PUNCT
cana-759	327	21	(	(	PUNCT
cana-759	327	22	1	1	NUM
cana-759	327	23	)	)	PUNCT
cana-759	327	24	=	=	NOUN
cana-759	327	25	0.1	0.1	NUM
cana-759	327	26	.	.	PUNCT
cana-759	328	1	the	the	DET
cana-759	328	2	figure	figure	NOUN
cana-759	328	3	7	7	NUM
cana-759	328	4	is	be	AUX
cana-759	328	5	for	for	ADP
cana-759	328	6	𝑟2=0.2	𝑟2=0.2	NUM
cana-759	328	7	𝜆	𝜆	NOUN
cana-759	329	1	=	=	NOUN
cana-759	329	2	0.3	0.3	NUM
cana-759	329	3	,	,	PUNCT
cana-759	329	4	𝐻	𝐻	PROPN
cana-759	329	5	’	'	PUNCT
cana-759	329	6	(	(	PUNCT
cana-759	329	7	1	1	X
cana-759	329	8	)	)	PUNCT
cana-759	329	9	=	=	NOUN
cana-759	329	10	0.1	0.1	NUM
cana-759	329	11	.	.	PUNCT
cana-759	330	1	it	it	PRON
cana-759	330	2	was	be	AUX
cana-759	330	3	observed	observe	VERB
cana-759	330	4	that	that	SCONJ
cana-759	330	5	the	the	DET
cana-759	330	6	probability𝑃0,1decreases	probability𝑃0,1decrease	NOUN
cana-759	330	7	when	when	SCONJ
cana-759	330	8	the	the	DET
cana-759	330	9	arrival	arrival	NOUN
cana-759	330	10	rate	rate	NOUN
cana-759	330	11	increases	increase	NOUN
cana-759	330	12	and	and	CCONJ
cana-759	330	13	𝜇	𝜇	ADP
cana-759	330	14	increases	increase	NOUN
cana-759	330	15	.	.	PUNCT
cana-759	331	1	the	the	DET
cana-759	331	2	figure	figure	NOUN
cana-759	331	3	8	8	NUM
cana-759	331	4	is	be	AUX
cana-759	331	5	for	for	ADP
cana-759	331	6	𝑟1=	𝑟1=	PROPN
cana-759	331	7	0.5	0.5	NUM
cana-759	331	8	,	,	PUNCT
cana-759	331	9	𝜆	𝜆	NOUN
cana-759	331	10	=	=	SYM
cana-759	331	11	0.3	0.3	NUM
cana-759	331	12	𝜆	𝜆	X
cana-759	331	13	=	=	SYM
cana-759	331	14	0.3	0.3	NUM
cana-759	331	15	=	=	SYM
cana-759	331	16	0.1	0.1	NUM
cana-759	331	17	.	.	PUNCT
cana-759	332	1	observed	observe	VERB
cana-759	332	2	that	that	SCONJ
cana-759	332	3	as	as	ADP
cana-759	332	4	𝑃0,1decreases	𝑃0,1decrease	NOUN
cana-759	332	5	,	,	PUNCT
cana-759	332	6	𝜇	𝜇	ADP
cana-759	332	7	increases	increase	NOUN
cana-759	332	8	.	.	PUNCT
cana-759	333	1	fig.3	fig.3	ADJ
cana-759	333	2	:	:	PUNCT
cana-759	333	3	correlation	correlation	NOUN
cana-759	333	4	between	between	ADP
cana-759	333	5	p0,1	p0,1	PROPN
cana-759	333	6	verses	verses	ADP
cana-759	333	7	𝜆	𝜆	PROPN
cana-759	333	8	&	&	CCONJ
cana-759	333	9	𝜇	𝜇	ADP
cana-759	333	10	communications	communication	NOUN
cana-759	333	11	on	on	ADP
cana-759	333	12	applied	apply	VERB
cana-759	333	13	nonlinear	nonlinear	ADJ
cana-759	333	14	analysis	analysis	NOUN
cana-759	333	15	issn	issn	NOUN
cana-759	333	16	:	:	PUNCT
cana-759	333	17	1074	1074	NUM
cana-759	333	18	-	-	PUNCT
cana-759	333	19	133x	133x	NUM
cana-759	333	20	vol	vol	NOUN
cana-759	333	21	31	31	NUM
cana-759	333	22	no	no	NOUN
cana-759	333	23	.	.	PUNCT
cana-759	334	1	3s	3s	NUM
cana-759	334	2	(	(	PUNCT
cana-759	334	3	2024	2024	NUM
cana-759	334	4	)	)	PUNCT
cana-759	334	5	203	203	NUM
cana-759	334	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	334	7	fig.4	fig.4	X
cana-759	334	8	:	:	PUNCT
cana-759	334	9	correlation	correlation	NOUN
cana-759	334	10	between	between	ADP
cana-759	334	11	p0,1	p0,1	PROPN
cana-759	334	12	verses	verses	ADP
cana-759	334	13	𝜆	𝜆	PROPN
cana-759	334	14	&	&	CCONJ
cana-759	334	15	𝑟1	𝑟1	PROPN
cana-759	334	16	fig.5	fig.5	PROPN
cana-759	334	17	:	:	PUNCT
cana-759	334	18	correlation	correlation	NOUN
cana-759	334	19	between	between	ADP
cana-759	334	20	p0,1	p0,1	PROPN
cana-759	334	21	verses	verses	ADP
cana-759	334	22	𝜆	𝜆	PROPN
cana-759	334	23	&	&	CCONJ
cana-759	334	24	𝑟2	𝑟2	PROPN
cana-759	334	25	fig.6	fig.6	PROPN
cana-759	334	26	:	:	PUNCT
cana-759	334	27	correlation	correlation	NOUN
cana-759	334	28	between	between	ADP
cana-759	334	29	p0,1	p0,1	PROPN
cana-759	334	30	and	and	CCONJ
cana-759	334	31	service	service	NOUN
cana-759	334	32	rate	rate	NOUN
cana-759	334	33	𝜇	𝜇	ADP
cana-759	334	34	based	base	VERB
cana-759	334	35	on	on	ADP
cana-759	334	36	𝜆	𝜆	DET
cana-759	334	37	communications	communication	NOUN
cana-759	334	38	on	on	ADP
cana-759	334	39	applied	apply	VERB
cana-759	334	40	nonlinear	nonlinear	ADJ
cana-759	334	41	analysis	analysis	NOUN
cana-759	334	42	issn	issn	NOUN
cana-759	334	43	:	:	PUNCT
cana-759	334	44	1074	1074	NUM
cana-759	334	45	-	-	PUNCT
cana-759	334	46	133x	133x	NUM
cana-759	334	47	vol	vol	NOUN
cana-759	334	48	31	31	NUM
cana-759	334	49	no	no	NOUN
cana-759	334	50	.	.	PUNCT
cana-759	335	1	3s	3s	NUM
cana-759	335	2	(	(	PUNCT
cana-759	335	3	2024	2024	NUM
cana-759	335	4	)	)	PUNCT
cana-759	335	5	204	204	NUM
cana-759	335	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	335	7	fig.7	fig.7	ADJ
cana-759	335	8	:	:	PUNCT
cana-759	335	9	correlation	correlation	NOUN
cana-759	335	10	between	between	ADP
cana-759	335	11	p0,1	p0,1	PROPN
cana-759	335	12	and	and	CCONJ
cana-759	335	13	service	service	NOUN
cana-759	335	14	rate	rate	NOUN
cana-759	335	15	𝜇	𝜇	ADP
cana-759	335	16	based	base	VERB
cana-759	335	17	on	on	ADP
cana-759	335	18	𝑟1	𝑟1	PROPN
cana-759	335	19	fig.8	fig.8	PROPN
cana-759	335	20	:	:	PUNCT
cana-759	335	21	correlation	correlation	NOUN
cana-759	335	22	between	between	ADP
cana-759	335	23	p0,1	p0,1	PROPN
cana-759	335	24	and	and	CCONJ
cana-759	335	25	service	service	NOUN
cana-759	335	26	rate	rate	NOUN
cana-759	335	27	𝜇	𝜇	ADP
cana-759	335	28	based	base	VERB
cana-759	335	29	on	on	ADP
cana-759	335	30	𝑟2	𝑟2	ADJ
cana-759	335	31	figure	figure	NOUN
cana-759	335	32	9	9	NUM
cana-759	335	33	is	be	AUX
cana-759	335	34	the	the	DET
cana-759	335	35	representation	representation	NOUN
cana-759	335	36	of	of	ADP
cana-759	335	37	the	the	DET
cana-759	335	38	relationship	relationship	NOUN
cana-759	335	39	between	between	ADP
cana-759	335	40	primary	primary	ADJ
cana-759	335	41	vacation	vacation	NOUN
cana-759	335	42	p1,0	p1,0	PROPN
cana-759	335	43	with	with	ADP
cana-759	335	44	vacation	vacation	NOUN
cana-759	335	45	rate	rate	NOUN
cana-759	335	46	𝑟1	𝑟1	PROPN
cana-759	335	47	and	and	CCONJ
cana-759	335	48	arrival	arrival	NOUN
cana-759	335	49	rate	rate	NOUN
cana-759	335	50	𝜆.	𝜆.	NOUN
cana-759	336	1	fig.10	fig.10	PRON
cana-759	336	2	says	say	VERB
cana-759	336	3	the	the	DET
cana-759	336	4	correlation	correlation	NOUN
cana-759	336	5	between	between	ADP
cana-759	336	6	p1,0	p1,0	PROPN
cana-759	336	7	and	and	CCONJ
cana-759	336	8	arrival	arrival	NOUN
cana-759	336	9	rate	rate	NOUN
cana-759	336	10	𝜆	𝜆	ADP
cana-759	336	11	when	when	SCONJ
cana-759	336	12	𝑟1=0.7	𝑟1=0.7	PROPN
cana-759	336	13	,	,	PUNCT
cana-759	336	14	𝑟2=0.5	𝑟2=0.5	PROPN
cana-759	336	15	,	,	PUNCT
cana-759	336	16	𝐻	𝐻	NOUN
cana-759	336	17	’	'	PUNCT
cana-759	336	18	(	(	PUNCT
cana-759	336	19	1	1	NUM
cana-759	336	20	)	)	PUNCT
cana-759	336	21	=	=	SYM
cana-759	336	22	0.1	0.1	NUM
cana-759	336	23	figure	figure	NOUN
cana-759	336	24	10	10	NUM
cana-759	336	25	says	say	VERB
cana-759	336	26	,	,	PUNCT
cana-759	336	27	p1,0	p1,0	PROPN
cana-759	336	28	decreases	decrease	VERB
cana-759	336	29	𝜆	𝜆	DET
cana-759	336	30	increases	increase	NOUN
cana-759	336	31	for	for	ADP
cana-759	336	32	different	different	ADJ
cana-759	336	33	values	value	NOUN
cana-759	336	34	of	of	ADP
cana-759	336	35	𝜇	𝜇	ADP
cana-759	336	36	=	=	PROPN
cana-759	336	37	4,7,20	4,7,20	NUM
cana-759	336	38	.	.	PUNCT
cana-759	337	1	below	below	ADP
cana-759	337	2	figure	figure	NOUN
cana-759	337	3	11	11	NUM
cana-759	337	4	is	be	AUX
cana-759	337	5	for	for	ADP
cana-759	337	6	𝑟2=0.5	𝑟2=0.5	NUM
cana-759	337	7	,	,	PUNCT
cana-759	337	8	𝜇	𝜇	ADP
cana-759	337	9	=	=	NOUN
cana-759	337	10	6	6	NUM
cana-759	337	11	,	,	PUNCT
cana-759	337	12	𝐻	𝐻	NOUN
cana-759	337	13	’	'	PUNCT
cana-759	337	14	(	(	PUNCT
cana-759	337	15	1	1	X
cana-759	337	16	)	)	PUNCT
cana-759	337	17	=	=	NOUN
cana-759	337	18	0.1	0.1	NUM
cana-759	337	19	.	.	PUNCT
cana-759	338	1	here	here	ADV
cana-759	338	2	p1,0	p1,0	PROPN
cana-759	338	3	value	value	NOUN
cana-759	338	4	decreases	decrease	VERB
cana-759	338	5	the	the	DET
cana-759	338	6	value	value	NOUN
cana-759	338	7	of	of	ADP
cana-759	338	8	𝜆	𝜆	DET
cana-759	338	9	increases	increase	NOUN
cana-759	338	10	for	for	ADP
cana-759	338	11	different	different	ADJ
cana-759	338	12	values	value	NOUN
cana-759	338	13	of	of	ADP
cana-759	338	14	primary	primary	ADJ
cana-759	338	15	vacation	vacation	NOUN
cana-759	338	16	rate	rate	NOUN
cana-759	338	17	𝑟1.it	𝑟1.it	NOUN
cana-759	338	18	is	be	AUX
cana-759	338	19	observed	observe	VERB
cana-759	338	20	that	that	SCONJ
cana-759	338	21	p1,0	p1,0	PROPN
cana-759	338	22	value	value	NOUN
cana-759	338	23	decreases	decrease	VERB
cana-759	338	24	the	the	DET
cana-759	338	25	value	value	NOUN
cana-759	338	26	of	of	ADP
cana-759	338	27	𝜆	𝜆	DET
cana-759	338	28	increases	increase	NOUN
cana-759	338	29	for	for	ADP
cana-759	338	30	different	different	ADJ
cana-759	338	31	values	value	NOUN
cana-759	338	32	of	of	ADP
cana-759	338	33	vacation	vacation	NOUN
cana-759	338	34	rate	rate	NOUN
cana-759	338	35	𝑟1	𝑟1	NOUN
cana-759	338	36	.	.	PUNCT
cana-759	339	1	it	it	PRON
cana-759	339	2	can	can	AUX
cana-759	339	3	be	be	AUX
cana-759	339	4	seen	see	VERB
cana-759	339	5	that	that	SCONJ
cana-759	339	6	all	all	DET
cana-759	339	7	three	three	NUM
cana-759	339	8	probability	probability	NOUN
cana-759	339	9	curves	curve	NOUN
cana-759	339	10	for	for	ADP
cana-759	339	11	p1,0	p1,0	PROPN
cana-759	339	12	decrease	decrease	NOUN
cana-759	339	13	in	in	ADP
cana-759	339	14	probability	probability	NOUN
cana-759	339	15	as	as	ADP
cana-759	339	16	the	the	DET
cana-759	339	17	value	value	NOUN
cana-759	339	18	of	of	ADP
cana-759	339	19	the	the	DET
cana-759	339	20	arrival	arrival	NOUN
cana-759	339	21	rate	rate	NOUN
cana-759	339	22	𝜆	𝜆	DET
cana-759	339	23	increases	increase	NOUN
cana-759	339	24	.	.	PUNCT
cana-759	340	1	also	also	ADV
cana-759	340	2	,	,	PUNCT
cana-759	340	3	when	when	SCONJ
cana-759	340	4	𝑟1=	𝑟1=	PROPN
cana-759	340	5	1	1	NUM
cana-759	340	6	,	,	PUNCT
cana-759	340	7	the	the	DET
cana-759	340	8	probability	probability	NOUN
cana-759	340	9	curve	curve	NOUN
cana-759	340	10	p1,0	p1,0	PROPN
cana-759	340	11	is	be	AUX
cana-759	340	12	decreasing	decrease	VERB
cana-759	340	13	rapidly	rapidly	ADV
cana-759	340	14	,	,	PUNCT
cana-759	340	15	and	and	CCONJ
cana-759	340	16	the	the	DET
cana-759	340	17	probability	probability	NOUN
cana-759	340	18	curve	curve	NOUN
cana-759	340	19	is	be	AUX
cana-759	340	20	decreasing	decrease	VERB
cana-759	340	21	from	from	ADP
cana-759	340	22	p1,0	p1,0	PROPN
cana-759	340	23	.	.	PUNCT
cana-759	341	1	it	it	PRON
cana-759	341	2	is	be	AUX
cana-759	341	3	slow	slow	ADJ
cana-759	341	4	for	for	ADP
cana-759	341	5	𝑟1=	𝑟1=	PROPN
cana-759	341	6	0.5	0.5	NUM
cana-759	341	7	and	and	CCONJ
cana-759	341	8	𝑟1=	𝑟1=	NUM
cana-759	341	9	0.7	0.7	NUM
cana-759	341	10	.	.	PUNCT
cana-759	342	1	communications	communication	NOUN
cana-759	342	2	on	on	ADP
cana-759	342	3	applied	apply	VERB
cana-759	342	4	nonlinear	nonlinear	ADJ
cana-759	342	5	analysis	analysis	NOUN
cana-759	342	6	issn	issn	NOUN
cana-759	342	7	:	:	PUNCT
cana-759	342	8	1074	1074	NUM
cana-759	342	9	-	-	PUNCT
cana-759	342	10	133x	133x	NUM
cana-759	342	11	vol	vol	NOUN
cana-759	342	12	31	31	NUM
cana-759	342	13	no	no	NOUN
cana-759	342	14	.	.	PUNCT
cana-759	343	1	3s	3s	NUM
cana-759	343	2	(	(	PUNCT
cana-759	343	3	2024	2024	NUM
cana-759	343	4	)	)	PUNCT
cana-759	343	5	205	205	NUM
cana-759	343	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	343	7	fig.9	fig.9	NUM
cana-759	343	8	:	:	PUNCT
cana-759	343	9	correlation	correlation	NOUN
cana-759	343	10	between	between	ADP
cana-759	343	11	p1,0	p1,0	PROPN
cana-759	343	12	and	and	CCONJ
cana-759	343	13	arrival	arrival	NOUN
cana-759	343	14	rate	rate	NOUN
cana-759	343	15	𝜆	𝜆	PROPN
cana-759	343	16	based	base	VERB
cana-759	343	17	on	on	ADP
cana-759	343	18	𝑟1	𝑟1	PROPN
cana-759	343	19	fig.10	fig.10	NOUN
cana-759	343	20	:	:	PUNCT
cana-759	343	21	correlation	correlation	NOUN
cana-759	343	22	between	between	ADP
cana-759	343	23	p1,0	p1,0	PROPN
cana-759	343	24	and	and	CCONJ
cana-759	343	25	arrival	arrival	NOUN
cana-759	343	26	rate	rate	NOUN
cana-759	343	27	𝜆	𝜆	PROPN
cana-759	343	28	based	base	VERB
cana-759	343	29	on	on	ADP
cana-759	343	30	𝜇	𝜇	DET
cana-759	343	31	fig.11	fig.11	PROPN
cana-759	343	32	:	:	PUNCT
cana-759	343	33	correlation	correlation	NOUN
cana-759	343	34	between	between	ADP
cana-759	343	35	p1,0	p1,0	PROPN
cana-759	343	36	verses	verses	ADP
cana-759	343	37	𝜆	𝜆	PROPN
cana-759	343	38	&	&	CCONJ
cana-759	343	39	𝑟1	𝑟1	PROPN
cana-759	343	40	figure	figure	VERB
cana-759	343	41	12	12	NUM
cana-759	343	42	is	be	AUX
cana-759	343	43	the	the	DET
cana-759	343	44	representation	representation	NOUN
cana-759	343	45	of	of	ADP
cana-759	343	46	the	the	DET
cana-759	343	47	relationship	relationship	NOUN
cana-759	343	48	between	between	ADP
cana-759	343	49	secondary	secondary	ADJ
cana-759	343	50	vacation	vacation	NOUN
cana-759	343	51	p2,0	p2,0	NOUN
cana-759	343	52	with	with	ADP
cana-759	343	53	vacation	vacation	NOUN
cana-759	343	54	rate	rate	NOUN
cana-759	343	55	𝑟2	𝑟2	NOUN
cana-759	343	56	and	and	CCONJ
cana-759	343	57	arrival	arrival	NOUN
cana-759	343	58	rate	rate	NOUN
cana-759	343	59	𝜆	𝜆	DET
cana-759	343	60	.the	.the	DET
cana-759	343	61	figure	figure	NOUN
cana-759	343	62	13	13	NUM
cana-759	343	63	is	be	AUX
cana-759	343	64	for	for	ADP
cana-759	343	65	𝑟2=0.5	𝑟2=0.5	NUM
cana-759	343	66	,	,	PUNCT
cana-759	343	67	𝜇=2	𝜇=2	PROPN
cana-759	343	68	,	,	PUNCT
cana-759	343	69	𝐻	𝐻	PROPN
cana-759	343	70	’	'	PUNCT
cana-759	343	71	(	(	PUNCT
cana-759	343	72	1	1	X
cana-759	343	73	)	)	PUNCT
cana-759	344	1	=	=	NOUN
cana-759	344	2	0.1	0.1	NUM
cana-759	344	3	.	.	PUNCT
cana-759	345	1	it	it	PRON
cana-759	345	2	is	be	AUX
cana-759	345	3	noticed	notice	VERB
cana-759	345	4	that	that	SCONJ
cana-759	345	5	𝜆	𝜆	DET
cana-759	345	6	increases	increase	NOUN
cana-759	345	7	p2,0	p2,0	PROPN
cana-759	345	8	communications	communication	NOUN
cana-759	345	9	on	on	ADP
cana-759	345	10	applied	apply	VERB
cana-759	345	11	nonlinear	nonlinear	ADJ
cana-759	345	12	analysis	analysis	NOUN
cana-759	345	13	issn	issn	NOUN
cana-759	345	14	:	:	PUNCT
cana-759	345	15	1074	1074	NUM
cana-759	345	16	-	-	PUNCT
cana-759	345	17	133x	133x	NUM
cana-759	345	18	vol	vol	NOUN
cana-759	345	19	31	31	NUM
cana-759	345	20	no	no	NOUN
cana-759	345	21	.	.	PUNCT
cana-759	346	1	3s	3s	NUM
cana-759	346	2	(	(	PUNCT
cana-759	346	3	2024	2024	NUM
cana-759	346	4	)	)	PUNCT
cana-759	346	5	206	206	NUM
cana-759	346	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	346	7	decreases	decrease	VERB
cana-759	346	8	.	.	PUNCT
cana-759	347	1	figure13	figure13	PROPN
cana-759	347	2	is	be	AUX
cana-759	347	3	the	the	DET
cana-759	347	4	representation	representation	NOUN
cana-759	347	5	of	of	ADP
cana-759	347	6	the	the	DET
cana-759	347	7	correlation	correlation	NOUN
cana-759	347	8	between	between	ADP
cana-759	347	9	p2,0	p2,0	PROPN
cana-759	347	10	and	and	CCONJ
cana-759	347	11	arrival	arrival	NOUN
cana-759	347	12	rate	rate	NOUN
cana-759	347	13	𝜆	𝜆	PROPN
cana-759	347	14	based	base	VERB
cana-759	347	15	on	on	ADP
cana-759	347	16	𝑟1	𝑟1	PROPN
cana-759	347	17	values	value	NOUN
cana-759	347	18	.	.	PUNCT
cana-759	348	1	figure	figure	NOUN
cana-759	348	2	14	14	NUM
cana-759	348	3	says	say	VERB
cana-759	348	4	,	,	PUNCT
cana-759	348	5	p2,0	p2,0	PROPN
cana-759	348	6	decreases	decrease	VERB
cana-759	348	7	when	when	SCONJ
cana-759	348	8	𝜆	𝜆	DET
cana-759	348	9	increases	increase	NOUN
cana-759	348	10	.	.	PUNCT
cana-759	349	1	it	it	PRON
cana-759	349	2	is	be	AUX
cana-759	349	3	noticed	notice	VERB
cana-759	349	4	that	that	SCONJ
cana-759	349	5	p2,0	p2,0	NOUN
cana-759	349	6	decreases	decrease	VERB
cana-759	349	7	when	when	SCONJ
cana-759	349	8	𝜆	𝜆	DET
cana-759	349	9	increases	increase	NOUN
cana-759	349	10	for	for	ADP
cana-759	349	11	different	different	ADJ
cana-759	349	12	values	value	NOUN
cana-759	349	13	of	of	ADP
cana-759	349	14	𝑟2	𝑟2	NOUN
cana-759	349	15	when	when	SCONJ
cana-759	349	16	𝑟1=2	𝑟1=2	PROPN
cana-759	349	17	,	,	PUNCT
cana-759	349	18	𝜇	𝜇	ADP
cana-759	349	19	=	=	NOUN
cana-759	349	20	2	2	NUM
cana-759	349	21	,	,	PUNCT
cana-759	349	22	𝐻	𝐻	NOUN
cana-759	349	23	’	'	PUNCT
cana-759	349	24	(	(	PUNCT
cana-759	349	25	1	1	X
cana-759	349	26	)	)	PUNCT
cana-759	349	27	=	=	NOUN
cana-759	349	28	0.1	0.1	NUM
cana-759	349	29	.	.	PUNCT
cana-759	350	1	we	we	PRON
cana-759	350	2	see	see	VERB
cana-759	350	3	that	that	SCONJ
cana-759	350	4	as	as	ADP
cana-759	350	5	the	the	DET
cana-759	350	6	value	value	NOUN
cana-759	350	7	of	of	ADP
cana-759	350	8	the	the	DET
cana-759	350	9	arrival	arrival	NOUN
cana-759	350	10	rate	rate	NOUN
cana-759	350	11	𝜆	𝜆	DET
cana-759	350	12	increases	increase	NOUN
cana-759	350	13	,	,	PUNCT
cana-759	350	14	the	the	DET
cana-759	350	15	probabilities	probability	NOUN
cana-759	350	16	of	of	ADP
cana-759	350	17	all	all	DET
cana-759	350	18	three	three	NUM
cana-759	350	19	probability	probability	NOUN
cana-759	350	20	curves	curve	NOUN
cana-759	350	21	for	for	ADP
cana-759	350	22	p2,0	p2,0	NOUN
cana-759	350	23	decrease	decrease	NOUN
cana-759	350	24	.	.	PUNCT
cana-759	351	1	even	even	ADV
cana-759	351	2	when	when	SCONJ
cana-759	351	3	𝑟2=	𝑟2=	PROPN
cana-759	351	4	0.2	0.2	NUM
cana-759	351	5	,	,	PUNCT
cana-759	351	6	the	the	DET
cana-759	351	7	probability	probability	NOUN
cana-759	351	8	curve	curve	NOUN
cana-759	351	9	p2,0	p2,0	PROPN
cana-759	351	10	decreases	decrease	VERB
cana-759	351	11	rapidly	rapidly	ADV
cana-759	351	12	,	,	PUNCT
cana-759	351	13	and	and	CCONJ
cana-759	351	14	from	from	ADP
cana-759	351	15	p2,0	p2,0	NOUN
cana-759	351	16	the	the	DET
cana-759	351	17	probability	probability	NOUN
cana-759	351	18	curve	curve	NOUN
cana-759	351	19	decreases	decrease	VERB
cana-759	351	20	.	.	PUNCT
cana-759	352	1	it	it	PRON
cana-759	352	2	is	be	AUX
cana-759	352	3	slow	slow	ADJ
cana-759	352	4	for	for	ADP
cana-759	352	5	𝑟2=	𝑟2=	PROPN
cana-759	352	6	0.4	0.4	NUM
cana-759	352	7	and	and	CCONJ
cana-759	352	8	𝑟2=	𝑟2=	NUM
cana-759	352	9	0.6	0.6	NUM
cana-759	352	10	.	.	PUNCT
cana-759	353	1	fig.12	fig.12	NOUN
cana-759	353	2	:	:	PUNCT
cana-759	353	3	correlation	correlation	NOUN
cana-759	353	4	between	between	ADP
cana-759	353	5	p2,0	p2,0	PROPN
cana-759	353	6	verses	verses	ADP
cana-759	353	7	𝜆	𝜆	NOUN
cana-759	353	8	&	&	CCONJ
cana-759	353	9	𝑟2	𝑟2	NOUN
cana-759	353	10	fig.13	fig.13	VERB
cana-759	353	11	correlation	correlation	NOUN
cana-759	353	12	of	of	ADP
cana-759	353	13	p2,0	p2,0	PROPN
cana-759	353	14	and	and	CCONJ
cana-759	353	15	arrival	arrival	NOUN
cana-759	353	16	rate	rate	NOUN
cana-759	353	17	𝜆	𝜆	PROPN
cana-759	353	18	based	base	VERB
cana-759	353	19	on	on	ADP
cana-759	353	20	𝑟1	𝑟1	PROPN
cana-759	353	21	fig.14	fig.14	NOUN
cana-759	353	22	:	:	PUNCT
cana-759	353	23	correlation	correlation	NOUN
cana-759	353	24	between	between	ADP
cana-759	353	25	p2,0	p2,0	PROPN
cana-759	353	26	and	and	CCONJ
cana-759	353	27	arrival	arrival	NOUN
cana-759	353	28	rate	rate	NOUN
cana-759	353	29	𝜆	𝜆	PROPN
cana-759	353	30	based	base	VERB
cana-759	353	31	on	on	ADP
cana-759	353	32	𝑟2	𝑟2	ADJ
cana-759	353	33	communications	communication	NOUN
cana-759	353	34	on	on	ADP
cana-759	353	35	applied	apply	VERB
cana-759	353	36	nonlinear	nonlinear	ADJ
cana-759	353	37	analysis	analysis	NOUN
cana-759	353	38	issn	issn	NOUN
cana-759	353	39	:	:	PUNCT
cana-759	353	40	1074	1074	NUM
cana-759	353	41	-	-	PUNCT
cana-759	353	42	133x	133x	NUM
cana-759	353	43	vol	vol	NOUN
cana-759	353	44	31	31	NUM
cana-759	353	45	no	no	NOUN
cana-759	353	46	.	.	PUNCT
cana-759	354	1	3s	3s	NUM
cana-759	354	2	(	(	PUNCT
cana-759	354	3	2024	2024	NUM
cana-759	354	4	)	)	PUNCT
cana-759	354	5	207	207	NUM
cana-759	354	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	354	7	fig.15	fig.15	NOUN
cana-759	354	8	:	:	PUNCT
cana-759	354	9	correlation	correlation	NOUN
cana-759	354	10	between	between	ADP
cana-759	354	11	e(x	e(x	NUM
cana-759	354	12	)	)	PUNCT
cana-759	354	13	(	(	PUNCT
cana-759	354	14	customers	customer	NOUN
cana-759	354	15	count	count	VERB
cana-759	354	16	in	in	ADP
cana-759	354	17	the	the	DET
cana-759	354	18	system	system	NOUN
cana-759	354	19	)	)	PUNCT
cana-759	354	20	and	and	CCONJ
cana-759	354	21	arrival	arrival	NOUN
cana-759	354	22	rate	rate	NOUN
cana-759	354	23	𝜆	𝜆	DET
cana-759	354	24	figure	figure	NOUN
cana-759	354	25	15	15	NUM
cana-759	354	26	says	say	VERB
cana-759	354	27	the	the	DET
cana-759	354	28	correlation	correlation	NOUN
cana-759	354	29	between	between	ADP
cana-759	354	30	e(x	e(x	NUM
cana-759	354	31	)	)	PUNCT
cana-759	354	32	and	and	CCONJ
cana-759	354	33	arrival	arrival	NOUN
cana-759	354	34	rate	rate	NOUN
cana-759	354	35	𝜆	𝜆	NOUN
cana-759	354	36	for	for	ADP
cana-759	354	37	𝜇	𝜇	X
cana-759	354	38	=	=	NOUN
cana-759	354	39	.08	.08	NUM
cana-759	354	40	,	,	PUNCT
cana-759	354	41	.09	.09	NUM
cana-759	354	42	,	,	PUNCT
cana-759	354	43	.1	.1	NUM
cana-759	354	44	here	here	ADV
cana-759	354	45	e(x	e(x	NUM
cana-759	354	46	)	)	PUNCT
cana-759	354	47	increasing	increase	VERB
cana-759	354	48	with	with	ADP
cana-759	354	49	growing	grow	VERB
cana-759	354	50	of	of	ADP
cana-759	354	51	𝜆	𝜆	DET
cana-759	354	52	7.1	7.1	NUM
cana-759	354	53	cost	cost	NOUN
cana-759	354	54	benefit	benefit	NOUN
cana-759	354	55	analysis	analysis	NOUN
cana-759	354	56	:	:	PUNCT
cana-759	354	57	we	we	PRON
cana-759	354	58	have	have	AUX
cana-759	354	59	created	create	VERB
cana-759	354	60	an	an	DET
cana-759	354	61	anticipated	anticipate	VERB
cana-759	354	62	cost	cost	NOUN
cana-759	354	63	function	function	NOUN
cana-759	354	64	f	f	PROPN
cana-759	354	65	/	/	SYM
cana-759	354	66	unit	unit	NOUN
cana-759	354	67	time	time	NOUN
cana-759	354	68	for	for	ADP
cana-759	354	69	markovian	markovian	ADJ
cana-759	354	70	vacation	vacation	NOUN
cana-759	354	71	queue	queue	NOUN
cana-759	354	72	and	and	CCONJ
cana-759	354	73	batch	batch	NOUN
cana-759	354	74	arrival	arrival	NOUN
cana-759	354	75	size	size	NOUN
cana-759	354	76	.	.	PUNCT
cana-759	355	1	our	our	PRON
cana-759	355	2	aim	aim	NOUN
cana-759	355	3	is	be	AUX
cana-759	355	4	to	to	PART
cana-759	355	5	compute	compute	VERB
cana-759	355	6	the	the	DET
cana-759	355	7	optimal	optimal	ADJ
cana-759	355	8	values	value	NOUN
cana-759	355	9	for	for	ADP
cana-759	355	10	𝜇	𝜇	PRON
cana-759	355	11	to	to	PART
cana-759	355	12	minimize	minimize	VERB
cana-759	355	13	function	function	NOUN
cana-759	355	14	cost	cost	NOUN
cana-759	355	15	.	.	PUNCT
cana-759	356	1	describe	describe	VERB
cana-759	356	2	the	the	DET
cana-759	356	3	cost	cost	NOUN
cana-759	356	4	𝐶𝑖	𝐶𝑖	PROPN
cana-759	356	5	,	,	PUNCT
cana-759	356	6	𝑖	𝑖	NOUN
cana-759	356	7	=	=	SYM
cana-759	356	8	1	1	NUM
cana-759	356	9	𝑡𝑜	𝑡𝑜	NOUN
cana-759	356	10	6	6	NUM
cana-759	356	11	elements	element	NOUN
cana-759	356	12	as	as	SCONJ
cana-759	356	13	follows	follow	VERB
cana-759	356	14	in	in	ADP
cana-759	356	15	this	this	DET
cana-759	356	16	sub	sub	NOUN
cana-759	356	17	section	section	NOUN
cana-759	356	18	,	,	PUNCT
cana-759	356	19	we	we	PRON
cana-759	356	20	have	have	AUX
cana-759	356	21	developed	develop	VERB
cana-759	356	22	an	an	DET
cana-759	356	23	anticipated	anticipate	VERB
cana-759	356	24	cost	cost	NOUN
cana-759	356	25	function	function	NOUN
cana-759	356	26	f	f	PROPN
cana-759	356	27	to	to	PART
cana-759	356	28	find	find	VERB
cana-759	356	29	the	the	DET
cana-759	356	30	optimum	optimum	ADJ
cana-759	356	31	normal	normal	ADJ
cana-759	356	32	𝜇∗	𝜇∗	NOUN
cana-759	356	33	and	and	CCONJ
cana-759	356	34	total	total	ADJ
cana-759	356	35	expected	expect	VERB
cana-759	356	36	optimum	optimum	ADJ
cana-759	356	37	cost	cost	NOUN
cana-759	356	38	,	,	PUNCT
cana-759	356	39	𝐹(𝜇∗).we	𝐹(𝜇∗).we	NOUN
cana-759	356	40	define	define	VERB
cana-759	356	41	the	the	DET
cana-759	356	42	cost	cost	NOUN
cana-759	356	43	elements	element	NOUN
cana-759	356	44	are	be	AUX
cana-759	356	45	c1=	c1=	NOUN
cana-759	356	46	service	service	NOUN
cana-759	356	47	cost	cost	NOUN
cana-759	356	48	/	/	SYM
cana-759	356	49	unit	unit	NOUN
cana-759	356	50	time	time	NOUN
cana-759	356	51	when	when	SCONJ
cana-759	356	52	the	the	DET
cana-759	356	53	server	server	NOUN
cana-759	356	54	is	be	AUX
cana-759	356	55	on	on	ADP
cana-759	356	56	c2=	c2=	ADJ
cana-759	356	57	holding	hold	VERB
cana-759	356	58	cost	cost	NOUN
cana-759	356	59	/unit	/unit	NUM
cana-759	356	60	time	time	NOUN
cana-759	356	61	when	when	SCONJ
cana-759	356	62	the	the	DET
cana-759	356	63	server	server	NOUN
cana-759	356	64	is	be	AUX
cana-759	356	65	on	on	ADP
cana-759	356	66	c3=	c3=	ADP
cana-759	356	67	cost	cost	NOUN
cana-759	356	68	/	/	SYM
cana-759	356	69	unit	unit	NOUN
cana-759	356	70	time	time	NOUN
cana-759	356	71	when	when	SCONJ
cana-759	356	72	a	a	DET
cana-759	356	73	customer	customer	NOUN
cana-759	356	74	connects	connect	VERB
cana-759	356	75	queue	queue	NOUN
cana-759	356	76	in	in	ADP
cana-759	356	77	normal	normal	ADJ
cana-759	356	78	time	time	NOUN
cana-759	356	79	c4=	c4=	SCONJ
cana-759	356	80	cost	cost	NOUN
cana-759	356	81	/	/	SYM
cana-759	356	82	unit	unit	NOUN
cana-759	356	83	time	time	NOUN
cana-759	356	84	when	when	SCONJ
cana-759	356	85	a	a	DET
cana-759	356	86	customer	customer	NOUN
cana-759	356	87	connects	connect	VERB
cana-759	356	88	queue	queue	NOUN
cana-759	356	89	in	in	ADP
cana-759	356	90	primary	primary	ADJ
cana-759	356	91	vacation	vacation	NOUN
cana-759	356	92	time	time	NOUN
cana-759	356	93	c5=	c5=	PROPN
cana-759	356	94	cost	cost	VERB
cana-759	356	95	/unit	/unit	NUM
cana-759	356	96	time	time	NOUN
cana-759	356	97	when	when	SCONJ
cana-759	356	98	a	a	DET
cana-759	356	99	customer	customer	NOUN
cana-759	356	100	connects	connect	VERB
cana-759	356	101	the	the	DET
cana-759	356	102	queue	queue	NOUN
cana-759	356	103	in	in	ADP
cana-759	356	104	secondary	secondary	ADJ
cana-759	356	105	vacation	vacation	NOUN
cana-759	356	106	time	time	NOUN
cana-759	356	107	c6=	c6=	ADJ
cana-759	356	108	cost	cost	NOUN
cana-759	356	109	/	/	SYM
cana-759	356	110	unit	unit	NOUN
cana-759	356	111	time	time	NOUN
cana-759	356	112	when	when	SCONJ
cana-759	356	113	a	a	DET
cana-759	356	114	customer	customer	NOUN
cana-759	356	115	waiting	wait	VERB
cana-759	356	116	time	time	NOUN
cana-759	356	117	in	in	ADP
cana-759	356	118	the	the	DET
cana-759	356	119	system	system	NOUN
cana-759	356	120	based	base	VERB
cana-759	356	121	on	on	ADP
cana-759	356	122	the	the	DET
cana-759	356	123	interpretations	interpretation	NOUN
cana-759	356	124	of	of	ADP
cana-759	356	125	every	every	DET
cana-759	356	126	cost	cost	NOUN
cana-759	356	127	element	element	NOUN
cana-759	356	128	and	and	CCONJ
cana-759	356	129	the	the	DET
cana-759	356	130	system	system	NOUN
cana-759	356	131	performance	performance	NOUN
cana-759	356	132	metrics	metric	NOUN
cana-759	356	133	,	,	PUNCT
cana-759	356	134	an	an	DET
cana-759	356	135	expected	expect	VERB
cana-759	356	136	total	total	ADJ
cana-759	356	137	cost	cost	NOUN
cana-759	356	138	function	function	NOUN
cana-759	356	139	/	/	SYM
cana-759	356	140	unit	unit	NOUN
cana-759	356	141	time	time	NOUN
cana-759	356	142	obtained	obtain	VERB
cana-759	356	143	𝐹(𝜇∗	𝐹(𝜇∗	NOUN
cana-759	356	144	)	)	PUNCT
cana-759	356	145	=	=	SYM
cana-759	356	146	𝐶1𝜇	𝐶1𝜇	PROPN
cana-759	357	1	+	+	NUM
cana-759	357	2	𝐶2𝐸(𝑋	𝐶2𝐸(𝑋	NOUN
cana-759	357	3	)	)	PUNCT
cana-759	358	1	+	+	CCONJ
cana-759	358	2	𝐶3𝑃0,1	𝐶3𝑃0,1	PROPN
cana-759	358	3	+	+	CCONJ
cana-759	358	4	𝐶4𝑃1,0	𝐶4𝑃1,0	PROPN
cana-759	358	5	+	+	NUM
cana-759	358	6	𝐶5𝑃2,0	𝐶5𝑃2,0	PROPN
cana-759	358	7	+	+	CCONJ
cana-759	358	8	𝐶6𝐸(𝑊𝑠	𝐶6𝐸(𝑊𝑠	NOUN
cana-759	358	9	)	)	PUNCT
cana-759	358	10	the	the	DET
cana-759	358	11	aim	aim	NOUN
cana-759	358	12	is	be	AUX
cana-759	358	13	calculating	calculate	VERB
cana-759	358	14	the	the	DET
cana-759	358	15	optimal	optimal	ADJ
cana-759	358	16	rate	rate	NOUN
cana-759	358	17	𝜇∗	𝜇∗	NOUN
cana-759	358	18	to	to	PART
cana-759	358	19	minimize	minimize	VERB
cana-759	358	20	the	the	DET
cana-759	358	21	function	function	NOUN
cana-759	358	22	cost	cost	NOUN
cana-759	358	23	f.	f.	NOUN
cana-759	358	24	we	we	PRON
cana-759	358	25	have	have	AUX
cana-759	358	26	followed	follow	VERB
cana-759	358	27	to	to	PART
cana-759	358	28	calculate	calculate	VERB
cana-759	358	29	the	the	DET
cana-759	358	30	convexity	convexity	NOUN
cana-759	358	31	of	of	ADP
cana-759	358	32	the	the	DET
cana-759	358	33	total	total	ADJ
cana-759	358	34	cost	cost	NOUN
cana-759	358	35	by	by	ADP
cana-759	358	36	the	the	DET
cana-759	358	37	method	method	NOUN
cana-759	358	38	of	of	ADP
cana-759	358	39	direct	direct	ADJ
cana-759	358	40	search	search	NOUN
cana-759	358	41	7.2	7.2	NUM
cana-759	358	42	direct	direct	ADJ
cana-759	358	43	search	search	NOUN
cana-759	358	44	method	method	NOUN
cana-759	358	45	the	the	DET
cana-759	358	46	following	follow	VERB
cana-759	358	47	are	be	AUX
cana-759	358	48	the	the	DET
cana-759	358	49	cost	cost	NOUN
cana-759	358	50	parameter	parameter	NOUN
cana-759	358	51	by	by	ADP
cana-759	358	52	using	use	VERB
cana-759	358	53	assumptions	assumption	NOUN
cana-759	358	54	𝐶1	𝐶1	NOUN
cana-759	358	55	=	=	SYM
cana-759	358	56	5	5	NUM
cana-759	358	57	,	,	PUNCT
cana-759	358	58	𝐶2	𝐶2	X
cana-759	358	59	=	=	SYM
cana-759	358	60	15	15	NUM
cana-759	358	61	,	,	PUNCT
cana-759	358	62	𝐶3	𝐶3	NOUN
cana-759	358	63	=	=	SYM
cana-759	358	64	3	3	NUM
cana-759	358	65	,	,	PUNCT
cana-759	358	66	𝐶4	𝐶4	NOUN
cana-759	358	67	=	=	SYM
cana-759	358	68	6	6	NUM
cana-759	358	69	,	,	PUNCT
cana-759	358	70	𝐶5	𝐶5	NOUN
cana-759	358	71	=	=	SYM
cana-759	358	72	4	4	NUM
cana-759	358	73	,	,	PUNCT
cana-759	358	74	𝐶6	𝐶6	X
cana-759	358	75	=	=	SYM
cana-759	358	76	10	10	NUM
cana-759	358	77	here	here	ADV
cana-759	358	78	the	the	DET
cana-759	358	79	numerical	numerical	ADJ
cana-759	358	80	examples	example	NOUN
cana-759	358	81	to	to	PART
cana-759	358	82	define	define	VERB
cana-759	358	83	the	the	DET
cana-759	358	84	𝜇	𝜇	ADP
cana-759	358	85	𝑣𝑎𝑙𝑢𝑒	𝑣𝑎𝑙𝑢𝑒	NOUN
cana-759	358	86	using	use	VERB
cana-759	358	87	direct	direct	ADJ
cana-759	358	88	search	search	NOUN
cana-759	358	89	method	method	NOUN
cana-759	358	90	.	.	PUNCT
cana-759	359	1	communications	communication	NOUN
cana-759	359	2	on	on	ADP
cana-759	359	3	applied	apply	VERB
cana-759	359	4	nonlinear	nonlinear	ADJ
cana-759	359	5	analysis	analysis	NOUN
cana-759	359	6	issn	issn	NOUN
cana-759	359	7	:	:	PUNCT
cana-759	359	8	1074	1074	NUM
cana-759	359	9	-	-	PUNCT
cana-759	359	10	133x	133x	NUM
cana-759	359	11	vol	vol	NOUN
cana-759	359	12	31	31	NUM
cana-759	359	13	no	no	NOUN
cana-759	359	14	.	.	PUNCT
cana-759	360	1	3s	3s	NUM
cana-759	360	2	(	(	PUNCT
cana-759	360	3	2024	2024	NUM
cana-759	360	4	)	)	PUNCT
cana-759	360	5	208	208	NUM
cana-759	360	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	360	7	from	from	ADP
cana-759	360	8	figure16	figure16	NOUN
cana-759	360	9	,	,	PUNCT
cana-759	360	10	cost	cost	NOUN
cana-759	360	11	function	function	NOUN
cana-759	360	12	and	and	CCONJ
cana-759	360	13	tables	table	NOUN
cana-759	360	14	here	here	ADV
cana-759	360	15	that	that	SCONJ
cana-759	360	16	for	for	ADP
cana-759	360	17	different	different	ADJ
cana-759	360	18	values	value	NOUN
cana-759	360	19	of	of	ADP
cana-759	360	20	𝜆	𝜆	PRON
cana-759	360	21	=	=	SYM
cana-759	360	22	0.5,0.8,1	0.5,0.8,1	NOUN
cana-759	360	23	found	find	VERB
cana-759	360	24	75.3865	75.3865	NUM
cana-759	360	25	,	,	PUNCT
cana-759	360	26	70.51219	70.51219	NUM
cana-759	360	27	,	,	PUNCT
cana-759	360	28	78.25883	78.25883	NUM
cana-759	360	29	these	these	PRON
cana-759	360	30	are	be	AUX
cana-759	360	31	minimum	minimum	ADJ
cana-759	360	32	expected	expect	VERB
cana-759	360	33	cost	cost	NOUN
cana-759	360	34	.	.	PUNCT
cana-759	361	1	the	the	DET
cana-759	361	2	figure	figure	NOUN
cana-759	361	3	17	17	NUM
cana-759	361	4	of	of	ADP
cana-759	361	5	cost	cost	NOUN
cana-759	361	6	output	output	NOUN
cana-759	361	7	and	and	CCONJ
cana-759	361	8	tables	table	NOUN
cana-759	361	9	shows	show	VERB
cana-759	361	10	that	that	SCONJ
cana-759	361	11	for	for	ADP
cana-759	361	12	different	different	ADJ
cana-759	361	13	values	value	NOUN
cana-759	361	14	of	of	ADP
cana-759	361	15	𝑟1	𝑟1	PROPN
cana-759	361	16	=	=	PUNCT
cana-759	361	17	0.5,0.6,0.7	0.5,0.6,0.7	PROPN
cana-759	361	18	received	receive	VERB
cana-759	361	19	132.707	132.707	NUM
cana-759	361	20	,	,	PUNCT
cana-759	361	21	112.815	112.815	NUM
cana-759	361	22	,	,	PUNCT
cana-759	361	23	96.3627	96.3627	NUM
cana-759	361	24	which	which	PRON
cana-759	361	25	are	be	AUX
cana-759	361	26	minimum	minimum	ADJ
cana-759	361	27	expected	expect	VERB
cana-759	361	28	cost	cost	NOUN
cana-759	361	29	.	.	PUNCT
cana-759	362	1	from	from	ADP
cana-759	362	2	figure18	figure18	PROPN
cana-759	362	3	,	,	PUNCT
cana-759	362	4	cost	cost	NOUN
cana-759	362	5	function	function	NOUN
cana-759	362	6	and	and	CCONJ
cana-759	362	7	tables	table	NOUN
cana-759	362	8	here	here	ADV
cana-759	362	9	that	that	SCONJ
cana-759	362	10	for	for	ADP
cana-759	362	11	different	different	ADJ
cana-759	362	12	values	value	NOUN
cana-759	362	13	of	of	ADP
cana-759	362	14	𝑟2	𝑟2	NOUN
cana-759	362	15	=	=	SYM
cana-759	362	16	1,3,7	1,3,7	NUM
cana-759	362	17	found	find	VERB
cana-759	362	18	84.53188	84.53188	NUM
cana-759	362	19	,	,	PUNCT
cana-759	362	20	49.66225	49.66225	NUM
cana-759	362	21	,	,	PUNCT
cana-759	362	22	49.66225	49.66225	NUM
cana-759	362	23	these	these	PRON
cana-759	362	24	are	be	AUX
cana-759	362	25	minimum	minimum	ADJ
cana-759	362	26	expected	expect	VERB
cana-759	362	27	cost	cost	NOUN
cana-759	362	28	.	.	PUNCT
cana-759	363	1	fig.16	fig.16	PROPN
cana-759	363	2	:	:	PUNCT
cana-759	363	3	correlation	correlation	NOUN
cana-759	363	4	between	between	ADP
cana-759	363	5	the	the	DET
cana-759	363	6	cost	cost	NOUN
cana-759	363	7	f	f	NOUN
cana-759	363	8	and	and	CCONJ
cana-759	363	9	service	service	NOUN
cana-759	363	10	rate	rate	NOUN
cana-759	363	11	𝜇	𝜇	ADP
cana-759	363	12	based	base	VERB
cana-759	363	13	on	on	ADP
cana-759	363	14	𝜆	𝜆	DET
cana-759	363	15	figure	figure	NOUN
cana-759	363	16	16	16	NUM
cana-759	363	17	.	.	PUNCT
cana-759	364	1	the	the	DET
cana-759	364	2	result	result	NOUN
cana-759	364	3	of	of	ADP
cana-759	364	4	𝜇	𝜇	X
cana-759	364	5	on	on	ADP
cana-759	364	6	the	the	DET
cana-759	364	7	cost	cost	NOUN
cana-759	364	8	function	function	NOUN
cana-759	364	9	f.	f.	PROPN
cana-759	364	10	convexity	convexity	PROPN
cana-759	364	11	of	of	ADP
cana-759	364	12	cost	cost	NOUN
cana-759	364	13	graph	graph	NOUN
cana-759	364	14	is	be	AUX
cana-759	364	15	exhibited	exhibit	VERB
cana-759	364	16	,	,	PUNCT
cana-759	364	17	minimum	minimum	ADJ
cana-759	364	18	cost	cost	NOUN
cana-759	364	19	is	be	AUX
cana-759	364	20	found	find	VERB
cana-759	364	21	for	for	ADP
cana-759	364	22	this	this	DET
cana-759	364	23	queue	queue	NOUN
cana-759	364	24	model	model	NOUN
cana-759	364	25	when	when	SCONJ
cana-759	364	26	the	the	DET
cana-759	364	27	different	different	ADJ
cana-759	364	28	values	value	NOUN
cana-759	364	29	of	of	ADP
cana-759	364	30	arrival	arrival	NOUN
cana-759	364	31	rate	rate	NOUN
cana-759	364	32	𝜆.	𝜆.	NOUN
cana-759	364	33	𝑟2	𝑟2	NOUN
cana-759	364	34	=	=	SYM
cana-759	364	35	1.2	1.2	NUM
cana-759	364	36	,	,	PUNCT
cana-759	364	37	𝑟1	𝑟1	NOUN
cana-759	364	38	=	=	SYM
cana-759	364	39	1	1	NUM
cana-759	364	40	,	,	PUNCT
cana-759	364	41	𝐻′(1	𝐻′(1	PROPN
cana-759	364	42	)	)	PUNCT
cana-759	364	43	=	=	SYM
cana-759	364	44	1	1	NUM
cana-759	364	45	,	,	PUNCT
cana-759	364	46	𝐻′′(1	𝐻′′(1	ADJ
cana-759	364	47	)	)	PUNCT
cana-759	364	48	=	=	SYM
cana-759	364	49	0.3	0.3	NUM
cana-759	364	50	and	and	CCONJ
cana-759	364	51	𝐶1	𝐶1	NUM
cana-759	364	52	=	=	SYM
cana-759	364	53	5	5	NUM
cana-759	364	54	,	,	PUNCT
cana-759	364	55	𝐶2	𝐶2	X
cana-759	364	56	=	=	SYM
cana-759	364	57	15	15	NUM
cana-759	364	58	,	,	PUNCT
cana-759	364	59	𝐶3	𝐶3	NOUN
cana-759	364	60	=	=	SYM
cana-759	364	61	3	3	NUM
cana-759	364	62	,	,	PUNCT
cana-759	364	63	𝐶4	𝐶4	NOUN
cana-759	364	64	=	=	SYM
cana-759	364	65	6	6	NUM
cana-759	364	66	,	,	PUNCT
cana-759	364	67	𝐶5	𝐶5	NOUN
cana-759	364	68	=	=	SYM
cana-759	364	69	4	4	NUM
cana-759	364	70	,	,	PUNCT
cana-759	364	71	𝐶6	𝐶6	VERB
cana-759	364	72	=	=	SYM
cana-759	364	73	10.the	10.the	PROPN
cana-759	364	74	table	table	NOUN
cana-759	364	75	is	be	AUX
cana-759	364	76	𝝁	𝝁	PRON
cana-759	364	77	𝜆	𝜆	X
cana-759	364	78	=	=	SYM
cana-759	364	79	0.5	0.5	NUM
cana-759	364	80	𝜆	𝜆	NOUN
cana-759	364	81	=	=	NOUN
cana-759	364	82	0.8	0.8	NUM
cana-759	364	83	𝜆	𝜆	X
cana-759	364	84	=	=	SYM
cana-759	364	85	1	1	NUM
cana-759	364	86	𝑃1,0	𝑃1,0	NUM
cana-759	364	87	𝐸(𝑊𝑠	𝐸(𝑊𝑠	NOUN
cana-759	364	88	)	)	PUNCT
cana-759	364	89	f	f	X
cana-759	364	90	-	-	PUNCT
cana-759	364	91	cost	cost	NOUN
cana-759	364	92	𝑃1,0	𝑃1,0	NUM
cana-759	364	93	𝐸(𝑊𝑠	𝐸(𝑊𝑠	NOUN
cana-759	364	94	)	)	PUNCT
cana-759	364	95	f	f	X
cana-759	364	96	-	-	PUNCT
cana-759	364	97	cost	cost	NOUN
cana-759	364	98	𝑃1,0	𝑃1,0	NUM
cana-759	364	99	𝐸(𝑊𝑠	𝐸(𝑊𝑠	NOUN
cana-759	364	100	)	)	PUNCT
cana-759	364	101	f	f	X
cana-759	364	102	-	-	PUNCT
cana-759	364	103	cost	cost	VERB
cana-759	364	104	2.5	2.5	NUM
cana-759	364	105	0.117834	0.117834	NUM
cana-759	364	106	2.185464	2.185464	NUM
cana-759	364	107	76.53421	76.53421	NUM
cana-759	364	108	0.132146	0.132146	NUM
cana-759	364	109	2.290377	2.290377	NUM
cana-759	364	110	78.8957	78.8957	NUM
cana-759	364	111	0.130909	0.130909	NUM
cana-759	364	112	3.186639	3.186639	NUM
cana-759	364	113	103.6493	103.6493	NUM
cana-759	364	114	3.5	3.5	NUM
cana-759	364	115	0.090179	0.090179	NUM
cana-759	364	116	1.96252	1.96252	NUM
cana-759	364	117	75.3865	75.3865	NUM
cana-759	364	118	0.107081	0.107081	NUM
cana-759	364	119	1.83848	1.83848	NUM
cana-759	364	120	71.41864	71.41864	NUM
cana-759	364	121	0.111317	0.111317	NUM
cana-759	364	122	2.363622	2.363622	NUM
cana-759	364	123	85.83763	85.83763	NUM
cana-759	364	124	4.5	4.5	NUM
cana-759	364	125	0.072737	0.072737	NUM
cana-759	364	126	1.838736	1.838736	NUM
cana-759	364	127	76.96695	76.96695	NUM
cana-759	364	128	0.088769	0.088769	NUM
cana-759	364	129	1.595472	1.595472	NUM
cana-759	364	130	69.69908	69.69908	NUM
cana-759	364	131	0.094276	0.094276	PROPN
cana-759	364	132	1.965868	1.965868	NUM
cana-759	364	133	79.81138	79.81138	NUM
cana-759	364	134	5.5	5.5	NUM
cana-759	364	135	0.060865	0.060865	NUM
cana-759	364	136	1.760273	1.760273	NUM
cana-759	364	137	79.79719	79.79719	NUM
cana-759	364	138	0.075484	0.075484	NUM
cana-759	364	139	1.444192	1.444192	NUM
cana-759	364	140	70.51219	70.51219	NUM
cana-759	364	141	0.081142	0.081142	NUM
cana-759	364	142	1.729574	1.729574	NUM
cana-759	364	143	78.25883	78.25883	NUM
cana-759	364	144	6.5	6.5	NUM
cana-759	364	145	0.052293	0.052293	NUM
cana-759	364	146	1.706152	1.706152	NUM
cana-759	364	147	83.29956	83.29956	NUM
cana-759	364	148	0.065544	0.065544	NUM
cana-759	364	149	1.341025	1.341025	NUM
cana-759	364	150	72.65519	72.65519	NUM
cana-759	364	151	0.071006	0.071006	NUM
cana-759	364	152	1.572616	1.572616	NUM
cana-759	364	153	78.90495	78.90495	NUM
cana-759	364	154	7.5	7.5	NUM
cana-759	364	155	0.045824	0.045824	NUM
cana-759	364	156	1.666583	1.666583	NUM
cana-759	364	157	87.20413	87.20413	NUM
cana-759	364	158	0.057868	0.057868	NUM
cana-759	364	159	1.266187	1.266187	NUM
cana-759	364	160	75.58179	75.58179	NUM
cana-759	364	161	0.06303	0.06303	NUM
cana-759	364	162	1.460662	1.460662	NUM
cana-759	364	163	80.79865	80.79865	NUM
cana-759	364	164	8.5	8.5	NUM
cana-759	364	165	0.040773	0.040773	NUM
cana-759	364	166	1.6364	1.6364	NUM
cana-759	364	167	91.36823	91.36823	NUM
cana-759	364	168	0.051777	0.051777	NUM
cana-759	364	169	1.209424	1.209424	NUM
cana-759	364	170	79.00865	79.00865	NUM
cana-759	364	171	0.056622	0.056622	NUM
cana-759	364	172	1.376739	1.376739	NUM
cana-759	364	173	83.4696	83.4696	NUM
cana-759	364	174	table1.the	table1.the	DET
cana-759	364	175	result	result	NOUN
cana-759	364	176	of	of	ADP
cana-759	364	177	𝜇	𝜇	X
cana-759	364	178	against	against	ADP
cana-759	364	179	the	the	DET
cana-759	364	180	cost	cost	NOUN
cana-759	364	181	output	output	NOUN
cana-759	364	182	for	for	ADP
cana-759	364	183	different	different	ADJ
cana-759	364	184	points	point	NOUN
cana-759	364	185	of	of	ADP
cana-759	364	186	𝜆	𝜆	DET
cana-759	364	187	communications	communication	NOUN
cana-759	364	188	on	on	ADP
cana-759	364	189	applied	apply	VERB
cana-759	364	190	nonlinear	nonlinear	ADJ
cana-759	364	191	analysis	analysis	NOUN
cana-759	364	192	issn	issn	NOUN
cana-759	364	193	:	:	PUNCT
cana-759	364	194	1074	1074	NUM
cana-759	364	195	-	-	PUNCT
cana-759	364	196	133x	133x	NUM
cana-759	364	197	vol	vol	NOUN
cana-759	364	198	31	31	NUM
cana-759	364	199	no	no	NOUN
cana-759	364	200	.	.	PUNCT
cana-759	365	1	3s	3s	NUM
cana-759	365	2	(	(	PUNCT
cana-759	365	3	2024	2024	NUM
cana-759	365	4	)	)	PUNCT
cana-759	365	5	209	209	NUM
cana-759	365	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	365	7	fig.17	fig.17	NOUN
cana-759	365	8	:	:	PUNCT
cana-759	365	9	correlation	correlation	NOUN
cana-759	365	10	between	between	ADP
cana-759	365	11	the	the	DET
cana-759	365	12	cost	cost	NOUN
cana-759	365	13	f	f	NOUN
cana-759	365	14	and	and	CCONJ
cana-759	365	15	service	service	NOUN
cana-759	365	16	rate	rate	NOUN
cana-759	365	17	𝜇	𝜇	ADP
cana-759	365	18	based	base	VERB
cana-759	365	19	on	on	ADP
cana-759	365	20	𝑟1	𝑟1	NOUN
cana-759	365	21	figure	figure	VERB
cana-759	365	22	17	17	NUM
cana-759	365	23	.	.	PUNCT
cana-759	366	1	the	the	DET
cana-759	366	2	result	result	NOUN
cana-759	366	3	of	of	ADP
cana-759	366	4	𝜇	𝜇	X
cana-759	366	5	on	on	ADP
cana-759	366	6	the	the	DET
cana-759	366	7	cost	cost	NOUN
cana-759	366	8	function	function	NOUN
cana-759	366	9	f	f	PROPN
cana-759	366	10	𝜆	𝜆	NOUN
cana-759	366	11	=	=	SYM
cana-759	366	12	1	1	X
cana-759	366	13	.	.	PUNCT
cana-759	366	14	𝑟2	𝑟2	NOUN
cana-759	366	15	=	=	SYM
cana-759	366	16	1	1	NUM
cana-759	366	17	,	,	PUNCT
cana-759	366	18	𝐻′(1	𝐻′(1	PROPN
cana-759	366	19	)	)	PUNCT
cana-759	366	20	=	=	SYM
cana-759	366	21	1	1	NUM
cana-759	366	22	,	,	PUNCT
cana-759	366	23	𝐻′′(1	𝐻′′(1	ADJ
cana-759	366	24	)	)	PUNCT
cana-759	366	25	=	=	SYM
cana-759	366	26	0.5	0.5	NUM
cana-759	366	27	and	and	CCONJ
cana-759	366	28	𝐶1	𝐶1	NUM
cana-759	366	29	=	=	SYM
cana-759	366	30	5	5	NUM
cana-759	366	31	,	,	PUNCT
cana-759	366	32	𝐶2	𝐶2	X
cana-759	366	33	=	=	SYM
cana-759	366	34	15	15	NUM
cana-759	366	35	,	,	PUNCT
cana-759	366	36	𝐶3	𝐶3	NOUN
cana-759	366	37	=	=	SYM
cana-759	366	38	3	3	NUM
cana-759	366	39	,	,	PUNCT
cana-759	366	40	𝐶4	𝐶4	NOUN
cana-759	366	41	=	=	SYM
cana-759	366	42	6	6	NUM
cana-759	366	43	,	,	PUNCT
cana-759	366	44	𝐶5	𝐶5	NOUN
cana-759	366	45	=	=	SYM
cana-759	366	46	4	4	NUM
cana-759	366	47	,	,	PUNCT
cana-759	366	48	𝐶6	𝐶6	X
cana-759	366	49	=	=	SYM
cana-759	366	50	10	10	NUM
cana-759	366	51	the	the	DET
cana-759	366	52	table	table	NOUN
cana-759	366	53	is	be	AUX
cana-759	366	54	𝝁	𝝁	DET
cana-759	366	55	𝑟1	𝑟1	NOUN
cana-759	366	56	=	=	SYM
cana-759	366	57	0.5	0.5	NUM
cana-759	366	58	𝑟1	𝑟1	NOUN
cana-759	366	59	=	=	PUNCT
cana-759	366	60	0.6	0.6	NUM
cana-759	366	61	𝑟1	𝑟1	NOUN
cana-759	366	62	=	=	PUNCT
cana-759	366	63	0.7	0.7	NUM
cana-759	366	64	𝑃1,0	𝑃1,0	NUM
cana-759	366	65	𝐸(𝑊𝑠	𝐸(𝑊𝑠	NOUN
cana-759	366	66	)	)	PUNCT
cana-759	366	67	f	f	X
cana-759	366	68	-	-	PUNCT
cana-759	366	69	cost	cost	NOUN
cana-759	366	70	𝑃1,0	𝑃1,0	NUM
cana-759	366	71	𝐸(𝑊𝑠	𝐸(𝑊𝑠	NOUN
cana-759	366	72	)	)	PUNCT
cana-759	366	73	f	f	X
cana-759	366	74	-	-	PUNCT
cana-759	366	75	cost	cost	NOUN
cana-759	366	76	𝑃1,0	𝑃1,0	NUM
cana-759	366	77	𝐸(𝑊𝑠	𝐸(𝑊𝑠	NOUN
cana-759	366	78	)	)	PUNCT
cana-759	366	79	f	f	X
cana-759	366	80	-	-	PUNCT
cana-759	366	81	cost	cost	VERB
cana-759	366	82	4.2	4.2	NUM
cana-759	366	83	0.074697	0.074697	NUM
cana-759	366	84	7.164505	7.164505	NUM
cana-759	366	85	148.0841	148.0841	NUM
cana-759	366	86	0.068027	0.068027	NUM
cana-759	366	87	3.153055	3.153055	NUM
cana-759	366	88	122.706	122.706	NUM
cana-759	366	89	0.060469	0.060469	NUM
cana-759	367	1	3.804248	3.804248	NUM
cana-759	367	2	100.9624	100.9624	NUM
cana-759	367	3	5.2	5.2	NUM
cana-759	367	4	0.063958	0.063958	NUM
cana-759	367	5	6.344968	6.344968	NUM
cana-759	367	6	138.8077	138.8077	NUM
cana-759	367	7	0.058247	0.058247	NUM
cana-759	367	8	2.780227	2.780227	NUM
cana-759	367	9	115.9699	115.9699	NUM
cana-759	367	10	0.051775	0.051775	NUM
cana-759	367	11	3.370196	3.370196	NUM
cana-759	367	12	97.13739	97.13739	NUM
cana-759	367	13	6.2	6.2	NUM
cana-759	367	14	0.055702	0.055702	NUM
cana-759	367	15	5.804327	5.804327	NUM
cana-759	367	16	134.3884	134.3884	NUM
cana-759	367	17	0.050728	0.050728	NUM
cana-759	367	18	2.53549	2.53549	NUM
cana-759	367	19	113.2647	113.2647	NUM
cana-759	367	20	0.045092	0.045092	NUM
cana-759	367	21	3.086235	3.086235	NUM
cana-759	367	22	96.3627	96.3627	NUM
cana-759	367	23	7.2	7.2	NUM
cana-759	367	24	0.049247	0.049247	NUM
cana-759	367	25	5.420873	5.420873	NUM
cana-759	367	26	132.707	132.707	NUM
cana-759	367	27	0.04485	0.04485	NUM
cana-759	367	28	2.362428	2.362428	NUM
cana-759	367	29	112.815	112.815	NUM
cana-759	367	30	0.039866	0.039866	NUM
cana-759	367	31	2.885877	2.885877	NUM
cana-759	367	32	97.2875	97.2875	NUM
cana-759	367	33	8.2	8.2	NUM
cana-759	367	34	0.044091	0.044091	NUM
cana-759	367	35	5.134748	5.134748	NUM
cana-759	367	36	132.7213	132.7213	NUM
cana-759	367	37	0.040155	0.040155	NUM
cana-759	367	38	2.233551	2.233551	NUM
cana-759	367	39	113.7571	113.7571	NUM
cana-759	367	40	0.035693	0.035693	NUM
cana-759	367	41	2.736904	2.736904	NUM
cana-759	367	42	99.25701	99.25701	NUM
cana-759	367	43	9.2	9.2	NUM
cana-759	367	44	0.039892	0.039892	NUM
cana-759	367	45	4.913068	4.913068	NUM
cana-759	367	46	133.8582	133.8582	NUM
cana-759	367	47	0.03633	0.03633	NUM
cana-759	367	48	2.133845	2.133845	NUM
cana-759	367	49	115.617	115.617	NUM
cana-759	367	50	0.032294	0.032294	NUM
cana-759	367	51	2.621781	2.621781	NUM
cana-759	367	52	101.9149	101.9149	NUM
cana-759	367	53	10.2	10.2	NUM
cana-759	367	54	0.036411	0.036411	NUM
cana-759	367	55	4.736266	4.736266	NUM
cana-759	367	56	135.777	135.777	NUM
cana-759	367	57	0.03316	0.03316	NUM
cana-759	367	58	2.054407	2.054407	NUM
cana-759	367	59	118.1151	118.1151	NUM
cana-759	367	60	0.029476	0.029476	NUM
cana-759	367	61	2.530143	2.530143	NUM
cana-759	367	62	105.0503	105.0503	NUM
cana-759	367	63	11.2	11.2	NUM
cana-759	367	64	0.033482	0.033482	NUM
cana-759	367	65	4.591966	4.591966	NUM
cana-759	367	66	138.2621	138.2621	NUM
cana-759	367	67	0.030493	0.030493	NUM
cana-759	367	68	1.989626	1.989626	NUM
cana-759	367	69	121.0748	121.0748	NUM
cana-759	367	70	0.027105	0.027105	NUM
cana-759	367	71	2.455465	2.455465	NUM
cana-759	367	72	108.5308	108.5308	NUM
cana-759	367	73	table2.the	table2.the	DET
cana-759	367	74	result	result	NOUN
cana-759	367	75	of	of	ADP
cana-759	367	76	𝜇	𝜇	X
cana-759	367	77	against	against	ADP
cana-759	367	78	the	the	DET
cana-759	367	79	cost	cost	NOUN
cana-759	367	80	output	output	NOUN
cana-759	367	81	for	for	ADP
cana-759	367	82	different	different	ADJ
cana-759	367	83	points	point	NOUN
cana-759	367	84	of	of	ADP
cana-759	367	85	𝑟1.convexity	𝑟1.convexity	NUM
cana-759	367	86	of	of	ADP
cana-759	367	87	the	the	DET
cana-759	367	88	cost	cost	NOUN
cana-759	367	89	graph	graph	NOUN
cana-759	367	90	is	be	AUX
cana-759	367	91	exhibited	exhibit	VERB
cana-759	367	92	;	;	PUNCT
cana-759	367	93	minimum	minimum	ADJ
cana-759	367	94	cost	cost	NOUN
cana-759	367	95	is	be	AUX
cana-759	367	96	found	find	VERB
cana-759	367	97	for	for	ADP
cana-759	367	98	this	this	DET
cana-759	367	99	queue	queue	NOUN
cana-759	367	100	model	model	NOUN
cana-759	367	101	when	when	SCONJ
cana-759	367	102	the	the	DET
cana-759	367	103	different	different	ADJ
cana-759	367	104	values	value	NOUN
cana-759	367	105	of	of	ADP
cana-759	367	106	primary	primary	ADJ
cana-759	367	107	vacation	vacation	NOUN
cana-759	367	108	rate	rate	NOUN
cana-759	367	109	𝑟1	𝑟1	NOUN
cana-759	367	110	.	.	PUNCT
cana-759	368	1	communications	communication	NOUN
cana-759	368	2	on	on	ADP
cana-759	368	3	applied	apply	VERB
cana-759	368	4	nonlinear	nonlinear	ADJ
cana-759	368	5	analysis	analysis	NOUN
cana-759	368	6	issn	issn	NOUN
cana-759	368	7	:	:	PUNCT
cana-759	368	8	1074	1074	NUM
cana-759	368	9	-	-	PUNCT
cana-759	368	10	133x	133x	NUM
cana-759	368	11	vol	vol	NOUN
cana-759	368	12	31	31	NUM
cana-759	368	13	no	no	NOUN
cana-759	368	14	.	.	PUNCT
cana-759	369	1	3s	3s	NUM
cana-759	369	2	(	(	PUNCT
cana-759	369	3	2024	2024	NUM
cana-759	369	4	)	)	PUNCT
cana-759	369	5	210	210	NUM
cana-759	370	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	370	2	fig.18	fig.18	ADJ
cana-759	370	3	:	:	PUNCT
cana-759	370	4	correlation	correlation	NOUN
cana-759	370	5	between	between	ADP
cana-759	370	6	the	the	DET
cana-759	370	7	cost	cost	NOUN
cana-759	370	8	f	f	NOUN
cana-759	370	9	and	and	CCONJ
cana-759	370	10	service	service	NOUN
cana-759	370	11	rate	rate	NOUN
cana-759	370	12	𝜇	𝜇	ADP
cana-759	370	13	based	base	VERB
cana-759	370	14	on	on	ADP
cana-759	370	15	𝑟2	𝑟2	NUM
cana-759	370	16	figure	figure	NOUN
cana-759	370	17	18	18	NUM
cana-759	370	18	.	.	PUNCT
cana-759	371	1	the	the	DET
cana-759	371	2	result	result	NOUN
cana-759	371	3	of	of	ADP
cana-759	371	4	𝜇	𝜇	X
cana-759	371	5	on	on	ADP
cana-759	371	6	the	the	DET
cana-759	371	7	cost	cost	NOUN
cana-759	371	8	function	function	NOUN
cana-759	371	9	f.	f.	PROPN
cana-759	371	10	convexity	convexity	PROPN
cana-759	371	11	of	of	ADP
cana-759	371	12	cost	cost	NOUN
cana-759	371	13	graph	graph	NOUN
cana-759	371	14	is	be	AUX
cana-759	371	15	exhibited	exhibit	VERB
cana-759	371	16	,	,	PUNCT
cana-759	371	17	minimum	minimum	ADJ
cana-759	371	18	cost	cost	NOUN
cana-759	371	19	is	be	AUX
cana-759	371	20	found	find	VERB
cana-759	371	21	for	for	ADP
cana-759	371	22	this	this	DET
cana-759	371	23	queue	queue	NOUN
cana-759	371	24	model	model	NOUN
cana-759	371	25	when	when	SCONJ
cana-759	371	26	the	the	DET
cana-759	371	27	different	different	ADJ
cana-759	371	28	values	value	NOUN
cana-759	371	29	of	of	ADP
cana-759	371	30	secondary	secondary	ADJ
cana-759	371	31	rate	rate	NOUN
cana-759	371	32	𝑟2	𝑟2	NOUN
cana-759	371	33	.	.	PUNCT
cana-759	372	1	𝜆	𝜆	X
cana-759	372	2	=	=	SYM
cana-759	372	3	1	1	NUM
cana-759	372	4	,	,	PUNCT
cana-759	372	5	𝑟1	𝑟1	NOUN
cana-759	372	6	=	=	SYM
cana-759	372	7	1	1	NUM
cana-759	372	8	,	,	PUNCT
cana-759	372	9	𝐻′(1	𝐻′(1	PROPN
cana-759	372	10	)	)	PUNCT
cana-759	372	11	=	=	SYM
cana-759	372	12	1	1	NUM
cana-759	372	13	,	,	PUNCT
cana-759	372	14	𝐻′′(1	𝐻′′(1	ADJ
cana-759	372	15	)	)	PUNCT
cana-759	372	16	=	=	SYM
cana-759	372	17	0.5	0.5	NUM
cana-759	372	18	and	and	CCONJ
cana-759	372	19	𝐶1	𝐶1	NUM
cana-759	372	20	=	=	SYM
cana-759	372	21	5	5	NUM
cana-759	372	22	,	,	PUNCT
cana-759	372	23	𝐶2	𝐶2	X
cana-759	372	24	=	=	SYM
cana-759	372	25	15	15	NUM
cana-759	372	26	,	,	PUNCT
cana-759	372	27	𝐶3	𝐶3	NOUN
cana-759	372	28	=	=	SYM
cana-759	372	29	3	3	NUM
cana-759	372	30	,	,	PUNCT
cana-759	372	31	𝐶4	𝐶4	NOUN
cana-759	372	32	=	=	SYM
cana-759	372	33	6	6	NUM
cana-759	372	34	,	,	PUNCT
cana-759	372	35	𝐶5	𝐶5	NOUN
cana-759	372	36	=	=	SYM
cana-759	372	37	4	4	NUM
cana-759	372	38	,	,	PUNCT
cana-759	372	39	𝐶6	𝐶6	X
cana-759	372	40	=	=	SYM
cana-759	372	41	10	10	NUM
cana-759	372	42	the	the	DET
cana-759	372	43	table	table	NOUN
cana-759	372	44	is	be	AUX
cana-759	372	45	𝝁	𝝁	PRON
cana-759	372	46	𝑟2	𝑟2	NOUN
cana-759	372	47	=	=	SYM
cana-759	372	48	1	1	NUM
cana-759	372	49	𝑟2	𝑟2	NOUN
cana-759	372	50	=	=	SYM
cana-759	372	51	3	3	NUM
cana-759	372	52	𝑟2	𝑟2	NOUN
cana-759	372	53	=	=	SYM
cana-759	372	54	7	7	NUM
cana-759	372	55	𝑃1,0	𝑃1,0	NUM
cana-759	372	56	𝐸(𝑊𝑠	𝐸(𝑊𝑠	NOUN
cana-759	372	57	)	)	PUNCT
cana-759	372	58	f	f	X
cana-759	372	59	-	-	PUNCT
cana-759	372	60	cost	cost	NOUN
cana-759	372	61	𝑃1,0	𝑃1,0	NUM
cana-759	372	62	𝐸(𝑊𝑠	𝐸(𝑊𝑠	NOUN
cana-759	372	63	)	)	PUNCT
cana-759	372	64	f	f	X
cana-759	372	65	-	-	PUNCT
cana-759	372	66	cost	cost	NOUN
cana-759	372	67	𝑃1,0	𝑃1,0	NUM
cana-759	372	68	𝐸(𝑊𝑠	𝐸(𝑊𝑠	NOUN
cana-759	372	69	)	)	PUNCT
cana-759	372	70	f	f	X
cana-759	372	71	-	-	PUNCT
cana-759	372	72	cost	cost	VERB
cana-759	372	73	2.2	2.2	NUM
cana-759	372	74	0.059846	0.059846	NUM
cana-759	372	75	4.639807	4.639807	NUM
cana-759	372	76	128.7307	128.7307	NUM
cana-759	372	77	0.106257	0.106257	NUM
cana-759	372	78	0.947738	0.947738	NUM
cana-759	372	79	64.46707	64.46707	NUM
cana-759	372	80	0.123967	0.123967	NUM
cana-759	372	81	0.274697	0.274697	NUM
cana-759	372	82	43.36624	43.36624	NUM
cana-759	372	83	3.2	3.2	NUM
cana-759	372	84	0.051859	0.051859	NUM
cana-759	372	85	3.232333	3.232333	NUM
cana-759	372	86	98.84934	98.84934	NUM
cana-759	373	1	0.092076	0.092076	NUM
cana-759	373	2	0.622104	0.622104	NUM
cana-759	373	3	51.78099	51.78099	NUM
cana-759	373	4	0.107422	0.107422	NUM
cana-759	373	5	0.194398	0.194398	NUM
cana-759	373	6	39.26325	39.26325	NUM
cana-759	373	7	4.2	4.2	NUM
cana-759	373	8	0.043788	0.043788	NUM
cana-759	373	9	2.619898	2.619898	NUM
cana-759	373	10	88.67432	88.67432	NUM
cana-759	373	11	0.077745	0.077745	NUM
cana-759	373	12	0.490917	0.490917	NUM
cana-759	373	13	49.66225	49.66225	NUM
cana-759	373	14	0.090703	0.090703	NUM
cana-759	373	15	0.165711	0.165711	NUM
cana-759	373	16	41.02152	41.02152	NUM
cana-759	373	17	5.2	5.2	NUM
cana-759	373	18	0.037492	0.037492	NUM
cana-759	373	19	2.273158	2.273158	NUM
cana-759	373	20	85.08117	85.08117	NUM
cana-759	373	21	0.066568	0.066568	NUM
cana-759	373	22	0.41929	0.41929	NUM
cana-759	373	23	50.77505	50.77505	NUM
cana-759	373	24	0.077663	0.077663	NUM
cana-759	373	25	0.150908	0.150908	NUM
cana-759	373	26	44.35032	44.35032	NUM
cana-759	373	27	6.2	6.2	NUM
cana-759	373	28	0.032653	0.032653	NUM
cana-759	373	29	2.049288	2.049288	NUM
cana-759	373	30	84.53188	84.53188	NUM
cana-759	373	31	0.057975	0.057975	NUM
cana-759	373	32	0.374001	0.374001	NUM
cana-759	373	33	53.31656	53.31656	NUM
cana-759	373	34	0.067638	0.067638	NUM
cana-759	373	35	0.141854	0.141854	NUM
cana-759	373	36	48.32851	48.32851	NUM
cana-759	373	37	7.2	7.2	NUM
cana-759	373	38	0.028869	0.028869	NUM
cana-759	373	39	1.892604	1.892604	NUM
cana-759	373	40	85.64727	85.64727	NUM
cana-759	373	41	0.051257	0.051257	NUM
cana-759	373	42	0.342731	0.342731	NUM
cana-759	373	43	56.61855	56.61855	NUM
cana-759	373	44	0.059799	0.059799	NUM
cana-759	373	45	0.135738	0.135738	NUM
cana-759	373	46	52.63837	52.63837	NUM
cana-759	373	47	8.2	8.2	NUM
cana-759	373	48	0.025847	0.025847	NUM
cana-759	373	49	1.776737	1.776737	NUM
cana-759	373	50	87.77416	87.77416	NUM
cana-759	373	51	0.045891	0.045891	NUM
cana-759	373	52	0.319825	0.319825	NUM
cana-759	373	53	60.37437	60.37437	NUM
cana-759	373	54	0.05354	0.05354	NUM
cana-759	373	55	0.131328	0.131328	NUM
cana-759	373	56	57.14065	57.14065	NUM
cana-759	373	57	9.2	9.2	NUM
cana-759	373	58	0.023385	0.023385	NUM
cana-759	373	59	1.687546	1.687546	NUM
cana-759	373	60	90.56223	90.56223	NUM
cana-759	373	61	0.04152	0.04152	NUM
cana-759	373	62	0.302315	0.302315	NUM
cana-759	373	63	64.42307	64.42307	NUM
cana-759	373	64	0.04844	0.04844	NUM
cana-759	373	65	0.127996	0.127996	NUM
cana-759	373	66	61.76458	61.76458	NUM
cana-759	373	67	table3.the	table3.the	DET
cana-759	373	68	result	result	NOUN
cana-759	373	69	of	of	ADP
cana-759	373	70	𝜇	𝜇	X
cana-759	373	71	against	against	ADP
cana-759	373	72	the	the	DET
cana-759	373	73	cost	cost	NOUN
cana-759	373	74	output	output	NOUN
cana-759	373	75	for	for	ADP
cana-759	373	76	different	different	ADJ
cana-759	373	77	points	point	NOUN
cana-759	373	78	of	of	ADP
cana-759	373	79	𝑟2	𝑟2	NOUN
cana-759	373	80	8	8	NUM
cana-759	373	81	.	.	PUNCT
cana-759	374	1	conclusion	conclusion	NOUN
cana-759	374	2	:	:	PUNCT
cana-759	374	3	an	an	DET
cana-759	374	4	𝑀𝑥/𝑀/1	𝑀𝑥/𝑀/1	NOUN
cana-759	374	5	queueing	queue	VERB
cana-759	374	6	model	model	NOUN
cana-759	374	7	with	with	ADP
cana-759	374	8	differentiated	differentiated	ADJ
cana-759	374	9	vacation	vacation	NOUN
cana-759	374	10	is	be	AUX
cana-759	374	11	studied	study	VERB
cana-759	374	12	in	in	ADP
cana-759	374	13	this	this	DET
cana-759	374	14	paper	paper	NOUN
cana-759	374	15	a	a	DET
cana-759	374	16	probability	probability	NOUN
cana-759	374	17	generating	generating	NOUN
cana-759	374	18	function	function	NOUN
cana-759	374	19	method	method	NOUN
cana-759	374	20	is	be	AUX
cana-759	374	21	used	use	VERB
cana-759	374	22	to	to	PART
cana-759	374	23	find	find	VERB
cana-759	374	24	the	the	DET
cana-759	374	25	model	model	NOUN
cana-759	374	26	's	's	PART
cana-759	374	27	steady	steady	ADJ
cana-759	374	28	-	-	PUNCT
cana-759	374	29	state	state	NOUN
cana-759	374	30	and	and	CCONJ
cana-759	374	31	steady	steady	ADJ
cana-759	374	32	-	-	PUNCT
cana-759	374	33	state	state	NOUN
cana-759	374	34	probabilities	probability	NOUN
cana-759	374	35	.	.	PUNCT
cana-759	375	1	further	far	ADV
cana-759	375	2	,	,	PUNCT
cana-759	375	3	the	the	DET
cana-759	375	4	various	various	ADJ
cana-759	375	5	system	system	NOUN
cana-759	375	6	performance	performance	NOUN
cana-759	375	7	measures	measure	NOUN
cana-759	375	8	are	be	AUX
cana-759	375	9	also	also	ADV
cana-759	375	10	analyzed	analyze	VERB
cana-759	375	11	numerically	numerically	ADV
cana-759	375	12	and	and	CCONJ
cana-759	375	13	graphically	graphically	ADV
cana-759	375	14	.	.	PUNCT
cana-759	376	1	a	a	DET
cana-759	376	2	cost	cost	NOUN
cana-759	376	3	function	function	NOUN
cana-759	376	4	is	be	AUX
cana-759	376	5	also	also	ADV
cana-759	376	6	constructed	construct	VERB
cana-759	376	7	to	to	PART
cana-759	376	8	obtain	obtain	VERB
cana-759	376	9	the	the	DET
cana-759	376	10	optimal	optimal	ADJ
cana-759	376	11	(	(	PUNCT
cana-759	376	12	minimum	minimum	ADJ
cana-759	376	13	)	)	PUNCT
cana-759	376	14	cost	cost	NOUN
cana-759	376	15	function	function	NOUN
cana-759	376	16	corresponding	correspond	VERB
cana-759	376	17	to	to	ADP
cana-759	376	18	the	the	DET
cana-759	376	19	optimal	optimal	ADJ
cana-759	376	20	service	service	NOUN
cana-759	376	21	rate	rate	NOUN
cana-759	376	22	through	through	ADP
cana-759	376	23	the	the	DET
cana-759	376	24	direct	direct	ADJ
cana-759	376	25	search	search	NOUN
cana-759	376	26	method	method	NOUN
cana-759	376	27	.	.	PUNCT
cana-759	377	1	mathematica	mathematica	PROPN
cana-759	377	2	is	be	AUX
cana-759	377	3	used	use	VERB
cana-759	377	4	for	for	ADP
cana-759	377	5	presenting	present	VERB
cana-759	377	6	3dimensional	3dimensional	ADJ
cana-759	377	7	graphical	graphical	ADJ
cana-759	377	8	pictures	picture	NOUN
cana-759	377	9	and	and	CCONJ
cana-759	377	10	mat	mat	NOUN
cana-759	377	11	lab	lab	NOUN
cana-759	377	12	software	software	NOUN
cana-759	377	13	is	be	AUX
cana-759	377	14	also	also	ADV
cana-759	377	15	used	use	VERB
cana-759	377	16	for	for	ADP
cana-759	377	17	presenting	present	VERB
cana-759	377	18	the	the	DET
cana-759	377	19	cost	cost	NOUN
cana-759	377	20	function	function	NOUN
cana-759	377	21	of	of	ADP
cana-759	377	22	the	the	DET
cana-759	377	23	above	above	ADJ
cana-759	377	24	queueing	queue	VERB
cana-759	377	25	model	model	NOUN
cana-759	377	26	.	.	PUNCT
cana-759	378	1	communications	communication	NOUN
cana-759	378	2	on	on	ADP
cana-759	378	3	applied	apply	VERB
cana-759	378	4	nonlinear	nonlinear	ADJ
cana-759	378	5	analysis	analysis	NOUN
cana-759	378	6	issn	issn	NOUN
cana-759	378	7	:	:	PUNCT
cana-759	378	8	1074	1074	NUM
cana-759	378	9	-	-	PUNCT
cana-759	378	10	133x	133x	NUM
cana-759	378	11	vol	vol	NOUN
cana-759	378	12	31	31	NUM
cana-759	378	13	no	no	NOUN
cana-759	378	14	.	.	PUNCT
cana-759	379	1	3s	3s	NUM
cana-759	379	2	(	(	PUNCT
cana-759	379	3	2024	2024	NUM
cana-759	379	4	)	)	PUNCT
cana-759	379	5	211	211	NUM
cana-759	379	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-759	379	7	references	reference	NOUN
cana-759	379	8	:	:	PUNCT
cana-759	380	1	[	[	X
cana-759	380	2	1	1	X
cana-759	380	3	]	]	X
cana-759	380	4	y.levy	y.levy	NOUN
cana-759	380	5	and	and	CCONJ
cana-759	380	6	u.yechiali	u.yechiali	VERB
cana-759	380	7	“	"	PUNCT
cana-759	380	8	utilization	utilization	NOUN
cana-759	380	9	of	of	ADP
cana-759	380	10	idle	idle	ADJ
cana-759	380	11	time	time	NOUN
cana-759	380	12	in	in	ADP
cana-759	380	13	an	an	DET
cana-759	380	14	m	m	NOUN
cana-759	380	15	/	/	SYM
cana-759	380	16	g/1	g/1	NOUN
cana-759	380	17	queueing	queue	VERB
cana-759	380	18	system	system	NOUN
cana-759	380	19	”	"	PUNCT
cana-759	380	20	,	,	PUNCT
cana-759	380	21	management	management	NOUN
cana-759	380	22	science	science	NOUN
cana-759	380	23	,	,	PUNCT
cana-759	380	24	vol.22	vol.22	PROPN
cana-759	380	25	,	,	PUNCT
cana-759	380	26	no.2	no.2	PROPN
cana-759	380	27	,	,	PUNCT
cana-759	380	28	pp.202	pp.202	PROPN
cana-759	380	29	-	-	PUNCT
cana-759	380	30	211,1975	211,1975	NOUN
cana-759	380	31	.	.	PUNCT
cana-759	381	1	[	[	X
cana-759	381	2	2	2	NUM
cana-759	381	3	]	]	X
cana-759	381	4	doshi	doshi	PROPN
cana-759	381	5	b.t	b.t	PROPN
cana-759	381	6	.	.	PROPN
cana-759	381	7	,	,	PUNCT
cana-759	381	8	queueing	queue	VERB
cana-759	381	9	systems	system	NOUN
cana-759	381	10	with	with	ADP
cana-759	381	11	vacationsa	vacationsa	ADJ
cana-759	381	12	survey	survey	NOUN
cana-759	381	13	,	,	PUNCT
cana-759	381	14	queueing	queue	VERB
cana-759	381	15	systems	system	NOUN
cana-759	381	16	,	,	PUNCT
cana-759	381	17	(	(	PUNCT
cana-759	381	18	1986),29	1986),29	NUM
cana-759	381	19	-	-	SYM
cana-759	381	20	66	66	NUM
cana-759	381	21	.	.	PUNCT
cana-759	382	1	[	[	X
cana-759	382	2	3	3	X
cana-759	382	3	]	]	SYM
cana-759	382	4	y.baba	y.baba	PROPN
cana-759	382	5	,	,	PUNCT
cana-759	382	6	“	"	PUNCT
cana-759	382	7	analysis	analysis	NOUN
cana-759	382	8	of	of	ADP
cana-759	382	9	a	a	DET
cana-759	382	10	g1	g1	PROPN
cana-759	382	11	/	/	SYM
cana-759	382	12	m/1	m/1	NOUN
cana-759	382	13	queue	queue	NOUN
cana-759	382	14	with	with	ADP
cana-759	382	15	multiple	multiple	ADJ
cana-759	382	16	working	work	VERB
cana-759	382	17	vacations	vacation	NOUN
cana-759	382	18	”	"	PUNCT
cana-759	382	19	,	,	PUNCT
cana-759	382	20	operations	operation	NOUN
cana-759	382	21	research	research	NOUN
cana-759	382	22	letters	letter	NOUN
cana-759	382	23	,	,	PUNCT
cana-759	382	24	vol.33	vol.33	PROPN
cana-759	382	25	,	,	PUNCT
cana-759	382	26	no.2	no.2	PROPN
cana-759	382	27	,	,	PUNCT
cana-759	382	28	pp	pp	ADV
cana-759	382	29	201	201	NUM
cana-759	382	30	-	-	SYM
cana-759	382	31	209	209	NUM
cana-759	382	32	,	,	PUNCT
cana-759	382	33	2005	2005	NUM
cana-759	382	34	.	.	PUNCT
cana-759	383	1	[	[	X
cana-759	383	2	4	4	NUM
cana-759	383	3	]	]	X
cana-759	383	4	v.m.chandrasekaran	v.m.chandrasekaran	ADJ
cana-759	383	5	,	,	PUNCT
cana-759	383	6	“	"	PUNCT
cana-759	383	7	a	a	DET
cana-759	383	8	survey	survey	NOUN
cana-759	383	9	on	on	ADP
cana-759	383	10	working	work	VERB
cana-759	383	11	vacation	vacation	NOUN
cana-759	383	12	queueing	queue	VERB
cana-759	383	13	models	model	NOUN
cana-759	383	14	”	"	PUNCT
cana-759	383	15	,	,	PUNCT
cana-759	383	16	international	international	ADJ
cana-759	383	17	journal	journal	NOUN
cana-759	383	18	of	of	ADP
cana-759	383	19	pure	pure	ADJ
cana-759	383	20	and	and	CCONJ
cana-759	383	21	applied	applied	ADJ
cana-759	383	22	mathematics	mathematic	NOUN
cana-759	383	23	,	,	PUNCT
cana-759	383	24	vol.106	vol.106	NOUN
cana-759	383	25	,	,	PUNCT
cana-759	383	26	no.6	no.6	PROPN
cana-759	383	27	,	,	PUNCT
cana-759	383	28	pp	pp	ADV
cana-759	383	29	33	33	NUM
cana-759	383	30	-	-	SYM
cana-759	383	31	41	41	NUM
cana-759	383	32	,	,	PUNCT
cana-759	383	33	2016	2016	NUM
cana-759	383	34	.	.	PUNCT
cana-759	384	1	[	[	X
cana-759	384	2	5	5	NUM
cana-759	384	3	]	]	X
cana-759	384	4	sonali	sonali	PROPN
cana-759	384	5	thakur	thakur	PROPN
cana-759	384	6	“	"	PUNCT
cana-759	384	7	anfis	anfis	VERB
cana-759	384	8	and	and	CCONJ
cana-759	384	9	cost	cost	VERB
cana-759	384	10	optimization	optimization	NOUN
cana-759	384	11	for	for	ADP
cana-759	384	12	markovian	markovian	ADJ
cana-759	384	13	queue	queue	NOUN
cana-759	384	14	with	with	ADP
cana-759	384	15	operational	operational	ADJ
cana-759	384	16	vacation	vacation	NOUN
cana-759	384	17	”	"	PUNCT
cana-759	384	18	,	,	PUNCT
cana-759	384	19	international	international	ADJ
cana-759	384	20	journal	journal	NOUN
cana-759	384	21	of	of	ADP
cana-759	384	22	mathematical	mathematical	ADJ
cana-759	384	23	,	,	PUNCT
cana-759	384	24	engineering	engineering	NOUN
cana-759	384	25	and	and	CCONJ
cana-759	384	26	management	management	NOUN
cana-759	384	27	sciences	science	NOUN
cana-759	384	28	,	,	PUNCT
cana-759	384	29	vol	vol	NOUN
cana-759	384	30	6	6	NUM
cana-759	384	31	,	,	PUNCT
cana-759	384	32	no.3	no.3	VERB
cana-759	384	33	,	,	PUNCT
cana-759	384	34	pp894	pp894	PROPN
cana-759	384	35	-	-	PUNCT
cana-759	384	36	910	910	PROPN
cana-759	384	37	,	,	PUNCT
cana-759	384	38	2021	2021	NUM
cana-759	384	39	.	.	PUNCT
cana-759	385	1	[	[	X
cana-759	385	2	6	6	NUM
cana-759	385	3	]	]	X
cana-759	385	4	binary	binary	PROPN
cana-759	385	5	kumar	kumar	PROPN
cana-759	385	6	,	,	PUNCT
cana-759	385	7	“	"	PUNCT
cana-759	385	8	some	some	DET
cana-759	385	9	basic	basic	ADJ
cana-759	385	10	concepts	concept	NOUN
cana-759	385	11	in	in	ADP
cana-759	385	12	queueing	queue	VERB
cana-759	385	13	theory	theory	NOUN
cana-759	385	14	”	"	PUNCT
cana-759	385	15	,	,	PUNCT
cana-759	385	16	international	international	ADJ
cana-759	385	17	advanced	advanced	ADJ
cana-759	385	18	research	research	NOUN
cana-759	385	19	journal	journal	NOUN
cana-759	385	20	in	in	ADP
cana-759	385	21	science	science	NOUN
cana-759	385	22	,	,	PUNCT
cana-759	385	23	engineering	engineering	NOUN
cana-759	385	24	and	and	CCONJ
cana-759	385	25	technology	technology	NOUN
cana-759	385	26	,	,	PUNCT
cana-759	385	27	vol	vol	NOUN
cana-759	385	28	2	2	NUM
cana-759	385	29	,	,	PUNCT
cana-759	385	30	issue	issue	NOUN
cana-759	385	31	12	12	NUM
cana-759	385	32	,	,	PUNCT
cana-759	385	33	december	december	PROPN
cana-759	385	34	2015	2015	NUM
cana-759	385	35	.	.	PUNCT
cana-759	386	1	[	[	X
cana-759	386	2	7	7	NUM
cana-759	386	3	]	]	X
cana-759	386	4	borthakur	borthakur	NOUN
cana-759	386	5	.	.	PUNCT
cana-759	387	1	a	a	PRON
cana-759	387	2	and	and	CCONJ
cana-759	387	3	choudhury	choudhury	PROPN
cana-759	387	4	,	,	PUNCT
cana-759	387	5	g.	g.	PROPN
cana-759	388	1	[	[	X
cana-759	388	2	1997	1997	NUM
cana-759	388	3	]	]	PUNCT
cana-759	388	4	,	,	PUNCT
cana-759	388	5	on	on	ADP
cana-759	388	6	a	a	DET
cana-759	388	7	batch	batch	NOUN
cana-759	388	8	arrival	arrival	NOUN
cana-759	388	9	poisson	poisson	NOUN
cana-759	388	10	queue	queue	NOUN
cana-759	388	11	with	with	ADP
cana-759	388	12	generalized	generalized	ADJ
cana-759	388	13	vacation	vacation	NOUN
cana-759	388	14	.	.	PUNCT
cana-759	389	1	sankhya	sankhya	PROPN
cana-759	389	2	;	;	PUNCT
cana-759	389	3	the	the	DET
cana-759	389	4	indian	indian	ADJ
cana-759	389	5	journal	journal	PROPN
cana-759	389	6	of	of	ADP
cana-759	389	7	statistics	statistic	NOUN
cana-759	389	8	59	59	NUM
cana-759	389	9	(	(	PUNCT
cana-759	389	10	3	3	NUM
cana-759	389	11	):	):	PUNCT
cana-759	389	12	369	369	NUM
cana-759	389	13	-	-	SYM
cana-759	389	14	383	383	NUM
cana-759	389	15	.	.	PUNCT
cana-759	390	1	[	[	X
cana-759	390	2	8	8	NUM
cana-759	390	3	]	]	X
cana-759	390	4	gautam	gautam	PROPN
cana-759	390	5	choudhury	choudhury	PROPN
cana-759	390	6	and	and	CCONJ
cana-759	390	7	urdan	urdan	PROPN
cana-759	390	8	k.c	k.c	PROPN
cana-759	390	9	(	(	PUNCT
cana-759	390	10	2004	2004	NUM
cana-759	390	11	)	)	PUNCT
cana-759	390	12	,	,	PUNCT
cana-759	390	13	a	a	DET
cana-759	390	14	two	two	NUM
cana-759	390	15	phase	phase	NOUN
cana-759	390	16	batch	batch	NOUN
cana-759	390	17	arrival	arrival	NOUN
cana-759	390	18	queueing	queue	VERB
cana-759	390	19	system	system	NOUN
cana-759	390	20	with	with	ADP
cana-759	390	21	a	a	DET
cana-759	390	22	vacation	vacation	NOUN
cana-759	390	23	time	time	NOUN
cana-759	390	24	under	under	ADP
cana-759	390	25	bernoulli	bernoulli	NOUN
cana-759	390	26	schedule	schedule	NOUN
cana-759	390	27	,	,	PUNCT
cana-759	390	28	applied	apply	VERB
cana-759	390	29	mathematics	mathematic	NOUN
cana-759	390	30	and	and	CCONJ
cana-759	390	31	computation	computation	NOUN
cana-759	390	32	,	,	PUNCT
cana-759	390	33	149	149	NUM
cana-759	390	34	,	,	PUNCT
cana-759	390	35	337	337	NUM
cana-759	390	36	-	-	SYM
cana-759	390	37	349	349	NUM
cana-759	390	38	.	.	PUNCT
cana-759	391	1	[	[	X
cana-759	391	2	9	9	NUM
cana-759	391	3	]	]	X
cana-759	391	4	oliver	oliver	PROPN
cana-759	391	5	c.	c.	PROPN
cana-759	391	6	ibe	ibe	PROPN
cana-759	391	7	and	and	CCONJ
cana-759	391	8	olubukola	olubukola	PROPN
cana-759	391	9	a.	a.	NOUN
cana-759	391	10	isijola	isijola	PROPN
cana-759	391	11	,	,	PUNCT
cana-759	391	12	“	"	PUNCT
cana-759	391	13	m	m	ADJ
cana-759	391	14	/	/	SYM
cana-759	391	15	m1	m1	PROPN
cana-759	391	16	multiple	multiple	ADJ
cana-759	391	17	vacation	vacation	NOUN
cana-759	391	18	queueing	queue	VERB
cana-759	391	19	systems	system	NOUN
cana-759	391	20	with	with	ADP
cana-759	391	21	differentiated	differentiated	ADJ
cana-759	391	22	vacations	vacation	NOUN
cana-759	391	23	“	"	PUNCT
cana-759	391	24	,	,	PUNCT
cana-759	391	25	modelling	modelling	NOUN
cana-759	391	26	and	and	CCONJ
cana-759	391	27	simulation	simulation	NOUN
cana-759	391	28	in	in	ADP
cana-759	391	29	engineering	engineering	NOUN
cana-759	391	30	volume	volume	NOUN
cana-759	391	31	2014	2014	NUM
cana-759	391	32	,	,	PUNCT
cana-759	391	33	pp6	pp6	NOUN
cana-759	391	34	,	,	PUNCT
cana-759	391	35	2014	2014	NUM
cana-759	391	36	[	[	X
cana-759	391	37	10	10	NUM
cana-759	391	38	]	]	X
cana-759	391	39	j.li	j.li	NOUN
cana-759	391	40	,	,	PUNCT
cana-759	391	41	w.liu	w.liu	NOUN
cana-759	391	42	and	and	CCONJ
cana-759	391	43	n.tian	n.tian	ADJ
cana-759	391	44	,	,	PUNCT
cana-759	391	45	“	"	PUNCT
cana-759	391	46	steady	steady	ADJ
cana-759	391	47	-	-	PUNCT
cana-759	391	48	state	state	NOUN
cana-759	391	49	analysis	analysis	NOUN
cana-759	391	50	of	of	ADP
cana-759	391	51	a	a	DET
cana-759	391	52	discrete	discrete	ADJ
cana-759	391	53	time	time	NOUN
cana-759	391	54	batch	batch	NOUN
cana-759	391	55	arrival	arrival	NOUN
cana-759	391	56	queue	queue	NOUN
cana-759	391	57	with	with	ADP
cana-759	391	58	working	working	NOUN
cana-759	391	59	vacations	vacation	NOUN
cana-759	391	60	”	"	PUNCT
cana-759	391	61	,	,	PUNCT
cana-759	391	62	performance	performance	NOUN
cana-759	391	63	evaluation	evaluation	NOUN
cana-759	391	64	,	,	PUNCT
cana-759	391	65	vol.67	vol.67	NOUN
cana-759	391	66	,	,	PUNCT
cana-759	391	67	no.10	no.10	ADJ
cana-759	391	68	,	,	PUNCT
cana-759	391	69	pp.897	pp.897	PROPN
cana-759	391	70	-	-	PUNCT
cana-759	391	71	912	912	NUM
cana-759	391	72	,	,	PUNCT
cana-759	391	73	2010	2010	NUM
cana-759	391	74	[	[	X
cana-759	391	75	11	11	NUM
cana-759	391	76	]	]	PUNCT
cana-759	391	77	a.d.banik	a.d.banik	NOUN
cana-759	391	78	,	,	PUNCT
cana-759	391	79	u.c	u.c	PROPN
cana-759	391	80	.	.	PROPN
cana-759	391	81	gupta	gupta	PROPN
cana-759	391	82	and	and	CCONJ
cana-759	391	83	s.s	s.s	PROPN
cana-759	391	84	.	.	PROPN
cana-759	391	85	pathak	pathak	PROPN
cana-759	391	86	,	,	PUNCT
cana-759	391	87	“	"	PUNCT
cana-759	391	88	on	on	ADP
cana-759	391	89	the	the	DET
cana-759	391	90	g1	g1	NOUN
cana-759	391	91	/	/	SYM
cana-759	391	92	m/1	m/1	NUM
cana-759	391	93	/	/	SYM
cana-759	391	94	n	n	PRON
cana-759	391	95	queue	queue	NOUN
cana-759	391	96	with	with	ADP
cana-759	391	97	multiple	multiple	ADJ
cana-759	391	98	working	work	VERB
cana-759	391	99	vacations	vacation	NOUN
cana-759	391	100	-	-	PUNCT
cana-759	391	101	analytic	analytic	ADJ
cana-759	391	102	analysis	analysis	NOUN
cana-759	391	103	and	and	CCONJ
cana-759	391	104	computation	computation	NOUN
cana-759	391	105	”	"	PUNCT
cana-759	391	106	,	,	PUNCT
cana-759	391	107	applied	apply	VERB
cana-759	391	108	mathematical	mathematical	ADJ
cana-759	391	109	modelling	modelling	NOUN
cana-759	391	110	,	,	PUNCT
cana-759	391	111	vol.31	vol.31	ADJ
cana-759	391	112	,	,	PUNCT
cana-759	391	113	no.9	no.9	PROPN
cana-759	391	114	,	,	PUNCT
cana-759	391	115	pp.1701	pp.1701	PROPN
cana-759	391	116	-	-	PUNCT
cana-759	391	117	1710	1710	NUM
cana-759	391	118	,	,	PUNCT
cana-759	391	119	2007	2007	NUM
cana-759	391	120	.	.	PUNCT
cana-759	392	1	[	[	X
cana-759	392	2	12	12	NUM
cana-759	392	3	]	]	X
cana-759	392	4	b.deepa	b.deepa	PUNCT
cana-759	392	5	and	and	CCONJ
cana-759	392	6	k.kalidass	k.kalidass	NOUN
cana-759	392	7	“	"	PUNCT
cana-759	392	8	an	an	DET
cana-759	392	9	m	m	NOUN
cana-759	392	10	/	/	SYM
cana-759	392	11	m/1	m/1	NOUN
cana-759	392	12	/	/	SYM
cana-759	392	13	n	n	PRON
cana-759	392	14	queue	queue	NOUN
cana-759	392	15	with	with	ADP
cana-759	392	16	working	work	VERB
cana-759	392	17	breakdowns	breakdown	NOUN
cana-759	392	18	and	and	CCONJ
cana-759	392	19	vacations	vacation	NOUN
cana-759	392	20	”	"	PUNCT
cana-759	392	21	,	,	PUNCT
cana-759	392	22	international	international	ADJ
cana-759	392	23	journal	journal	NOUN
cana-759	392	24	of	of	ADP
cana-759	392	25	pure	pure	ADJ
cana-759	392	26	and	and	CCONJ
cana-759	392	27	applied	apply	VERB
cana-759	392	28	mathematics	mathematic	NOUN
cana-759	392	29	vol.119	vol.119	NOUN
cana-759	392	30	,	,	PUNCT
cana-759	392	31	no.10	no.10	PROPN
cana-759	392	32	,	,	PUNCT
cana-759	392	33	2018	2018	NUM
cana-759	392	34	,	,	PUNCT
cana-759	392	35	pp.859	pp.859	NOUN
cana-759	392	36	-	-	PUNCT
cana-759	392	37	873	873	NUM
cana-759	392	38	.	.	PUNCT
cana-759	393	1	[	[	X
cana-759	393	2	13	13	NUM
cana-759	393	3	]	]	SYM
cana-759	393	4	k.v.vijayshree	k.v.vijayshree	NOUN
cana-759	393	5	,	,	PUNCT
cana-759	393	6	b.janani	b.janani	NOUN
cana-759	393	7	and	and	CCONJ
cana-759	393	8	k.ambine	k.ambine	NOUN
cana-759	393	9	,	,	PUNCT
cana-759	393	10	“	"	PUNCT
cana-759	393	11	m	m	NOUN
cana-759	393	12	/	/	SYM
cana-759	393	13	m/1	m/1	NOUN
cana-759	393	14	queueing	queue	VERB
cana-759	393	15	model	model	NOUN
cana-759	393	16	with	with	ADP
cana-759	393	17	differentiated	differentiated	ADJ
cana-759	393	18	vacation	vacation	NOUN
cana-759	393	19	and	and	CCONJ
cana-759	393	20	interruption	interruption	NOUN
cana-759	393	21	”	"	PUNCT
cana-759	393	22	,	,	PUNCT
cana-759	393	23	global	global	ADJ
cana-759	393	24	and	and	CCONJ
cana-759	393	25	stochastic	stochastic	ADJ
cana-759	393	26	analysis	analysis	NOUN
cana-759	393	27	;	;	PUNCT
cana-759	393	28	vol.8	vol.8	PROPN
cana-759	393	29	,	,	PUNCT
cana-759	393	30	no.2	no.2	PROPN
cana-759	393	31	,	,	PUNCT
cana-759	393	32	2021	2021	NUM
cana-759	393	33	.	.	PUNCT
cana-759	394	1	[	[	X
cana-759	394	2	14	14	NUM
cana-759	394	3	]	]	SYM
cana-759	394	4	zhang.m	zhang.m	NOUN
cana-759	394	5	and	and	CCONJ
cana-759	394	6	hou.z	hou.z	PROPN
cana-759	394	7	,	,	PUNCT
cana-759	394	8	“	"	PUNCT
cana-759	394	9	performance	performance	NOUN
cana-759	394	10	analysis	analysis	NOUN
cana-759	394	11	of	of	ADP
cana-759	394	12	m	m	NOUN
cana-759	394	13	/	/	SYM
cana-759	394	14	g/1	g/1	NOUN
cana-759	394	15	queue	queue	NOUN
cana-759	394	16	with	with	ADP
cana-759	394	17	working	working	NOUN
cana-759	394	18	vacations	vacation	NOUN
cana-759	394	19	and	and	CCONJ
cana-759	394	20	vacation	vacation	NOUN
cana-759	394	21	interruption	interruption	NOUN
cana-759	394	22	”	"	PUNCT
cana-759	394	23	,	,	PUNCT
cana-759	394	24	journal	journal	NOUN
cana-759	394	25	of	of	ADP
cana-759	394	26	computational	computational	ADJ
cana-759	394	27	and	and	CCONJ
cana-759	394	28	applied	applied	ADJ
cana-759	394	29	mathematics	mathematic	NOUN
cana-759	394	30	,	,	PUNCT
cana-759	394	31	vol	vol	NOUN
cana-759	394	32	234	234	NUM
cana-759	394	33	,	,	PUNCT
cana-759	394	34	pp.2977	pp.2977	PROPN
cana-759	394	35	-	-	PUNCT
cana-759	394	36	2985	2985	NUM
cana-759	394	37	,	,	PUNCT
cana-759	394	38	2010	2010	NUM
cana-759	394	39	.	.	PUNCT
cana-759	395	1	[	[	X
cana-759	395	2	15	15	NUM
cana-759	395	3	]	]	X
cana-759	395	4	ganesh	ganesh	ADJ
cana-759	395	5	sapkota	sapkota	NOUN
cana-759	395	6	and	and	CCONJ
cana-759	395	7	r.p.ghimire	r.p.ghimire	ADJ
cana-759	395	8	,	,	PUNCT
cana-759	395	9	“	"	PUNCT
cana-759	395	10	mathematical	mathematical	ADJ
cana-759	395	11	analysis	analysis	NOUN
cana-759	395	12	of	of	ADP
cana-759	395	13	m	m	PROPN
cana-759	395	14	/	/	SYM
cana-759	395	15	m	m	PROPN
cana-759	395	16	/	/	SYM
cana-759	395	17	c	c	NOUN
cana-759	395	18	vacation	vacation	NOUN
cana-759	395	19	queueing	queue	VERB
cana-759	395	20	model	model	NOUN
cana-759	395	21	with	with	ADP
cana-759	395	22	a	a	DET
cana-759	395	23	waiting	wait	VERB
cana-759	395	24	server	server	NOUN
cana-759	395	25	and	and	CCONJ
cana-759	395	26	impatient	impatient	ADJ
cana-759	395	27	customers	customer	NOUN
cana-759	395	28	”	"	PUNCT
cana-759	395	29	,	,	PUNCT
cana-759	395	30	journal	journal	NOUN
cana-759	395	31	of	of	ADP
cana-759	395	32	mathematics	mathematic	NOUN
cana-759	395	33	and	and	CCONJ
cana-759	395	34	statistics	statistic	NOUN
cana-759	395	35	,	,	PUNCT
cana-759	395	36	vol.18	vol.18	NOUN
cana-759	395	37	,	,	PUNCT
cana-759	395	38	pp	pp	ADJ
cana-759	395	39	.	.	PUNCT
cana-759	396	1	36	36	NUM
cana-759	396	2	-	-	SYM
cana-759	396	3	48	48	NUM
cana-759	396	4	,	,	PUNCT
cana-759	396	5	2022	2022	NUM
cana-759	396	6	.	.	PUNCT
cana-759	397	1	[	[	X
cana-759	397	2	16	16	NUM
cana-759	397	3	]	]	PUNCT
cana-759	397	4	ammar.s.i	ammar.s.i	NOUN
cana-759	397	5	,	,	PUNCT
cana-759	397	6	“	"	PUNCT
cana-759	397	7	transient	transient	ADJ
cana-759	397	8	solution	solution	NOUN
cana-759	397	9	of	of	ADP
cana-759	397	10	an	an	DET
cana-759	397	11	m	m	PROPN
cana-759	397	12	/	/	SYM
cana-759	397	13	m/1	m/1	NOUN
cana-759	397	14	vacation	vacation	NOUN
cana-759	397	15	queue	queue	NOUN
cana-759	397	16	with	with	ADP
cana-759	397	17	a	a	DET
cana-759	397	18	waiting	wait	VERB
cana-759	397	19	server	server	NOUN
cana-759	397	20	and	and	CCONJ
cana-759	397	21	impatient	impatient	ADJ
cana-759	397	22	customers	customer	NOUN
cana-759	397	23	”	"	PUNCT
cana-759	397	24	,	,	PUNCT
cana-759	397	25	journal	journal	NOUN
cana-759	397	26	of	of	ADP
cana-759	397	27	the	the	DET
cana-759	397	28	egyptian	egyptian	PROPN
cana-759	397	29	mathematical	mathematical	PROPN
cana-759	397	30	society	society	NOUN
cana-759	397	31	,	,	PUNCT
cana-759	397	32	25(3	25(3	NUM
cana-759	397	33	)	)	PUNCT
cana-759	397	34	,	,	PUNCT
cana-759	397	35	pp.337	pp.337	NOUN
cana-759	397	36	-	-	PUNCT
cana-759	397	37	342	342	NUM
cana-759	397	38	,	,	PUNCT
cana-759	397	39	2016	2016	NUM
cana-759	397	40	.	.	PUNCT
cana-759	398	1	[	[	X
cana-759	398	2	17	17	NUM
cana-759	398	3	]	]	PUNCT
cana-759	398	4	s.gupta	s.gupta	NOUN
cana-759	398	5	,	,	PUNCT
cana-759	398	6	p.k	p.k	PROPN
cana-759	398	7	.	.	PUNCT
cana-759	398	8	joshi	joshi	PROPN
cana-759	398	9	,	,	PUNCT
cana-759	398	10	k.n	k.n	PROPN
cana-759	398	11	.	.	PROPN
cana-759	398	12	rajeshwari	rajeshwari	NOUN
cana-759	398	13	,	,	PUNCT
cana-759	398	14	“	"	PUNCT
cana-759	398	15	optimization	optimization	NOUN
cana-759	398	16	of	of	ADP
cana-759	398	17	m	m	PROPN
cana-759	398	18	/	/	SYM
cana-759	398	19	m/2	m/2	X
cana-759	398	20	queueing	queue	VERB
cana-759	398	21	model	model	NOUN
cana-759	398	22	with	with	ADP
cana-759	398	23	working	work	VERB
cana-759	398	24	vacations	vacation	NOUN
cana-759	398	25	”	"	PUNCT
cana-759	398	26	,	,	PUNCT
cana-759	398	27	vol	vol	NOUN
cana-759	398	28	15	15	NUM
cana-759	398	29	,	,	PUNCT
cana-759	398	30	pp.31	pp.31	NOUN
cana-759	398	31	-	-	PUNCT
cana-759	398	32	41	41	NUM
cana-759	398	33	,	,	PUNCT
cana-759	398	34	2022	2022	NUM
cana-759	398	35	.	.	PUNCT
cana-759	399	1	[	[	X
cana-759	399	2	18	18	NUM
cana-759	399	3	]	]	PUNCT
cana-759	399	4	v.vijayalakshmi	v.vijayalakshmi	NOUN
cana-759	399	5	,	,	PUNCT
cana-759	399	6	b.deepa	b.deepa	PUNCT
cana-759	399	7	and	and	CCONJ
cana-759	399	8	k.kalidass	k.kalidass	NOUN
cana-759	399	9	,	,	PUNCT
cana-759	399	10	cost	cost	VERB
cana-759	399	11	analysis	analysis	NOUN
cana-759	399	12	of	of	ADP
cana-759	399	13	m	m	NOUN
cana-759	399	14	/	/	SYM
cana-759	399	15	m/1	m/1	NOUN
cana-759	399	16	/	/	SYM
cana-759	399	17	n	n	PRON
cana-759	399	18	queue	queue	NOUN
cana-759	399	19	with	with	ADP
cana-759	399	20	working	work	VERB
cana-759	399	21	breakdowns	breakdown	NOUN
cana-759	399	22	and	and	CCONJ
cana-759	399	23	a	a	DET
cana-759	399	24	twophase	twophase	NOUN
cana-759	399	25	service	service	NOUN
cana-759	399	26	,	,	PUNCT
cana-759	399	27	journal	journal	NOUN
cana-759	399	28	of	of	ADP
cana-759	399	29	physics	physics	PROPN
cana-759	399	30	,	,	PUNCT
cana-759	399	31	conference	conference	NOUN
cana-759	399	32	series,1850(2021),1742	series,1850(2021),1742	PROPN
cana-759	399	33	-	-	PUNCT
cana-759	399	34	6596	6596	NUM
cana-759	399	35	.	.	PUNCT