id	sid	tid	token	lemma	pos
ejpam-5910	1	1	european	european	PROPN
ejpam-5910	1	2	journal	journal	PROPN
ejpam-5910	1	3	of	of	ADP
ejpam-5910	1	4	pure	pure	ADJ
ejpam-5910	1	5	and	and	CCONJ
ejpam-5910	1	6	applied	applied	ADJ
ejpam-5910	1	7	mathematics	mathematic	NOUN
ejpam-5910	1	8	2025	2025	NUM
ejpam-5910	1	9	,	,	PUNCT
ejpam-5910	1	10	vol	vol	NOUN
ejpam-5910	1	11	.	.	PROPN
ejpam-5910	1	12	18	18	NUM
ejpam-5910	1	13	,	,	PUNCT
ejpam-5910	1	14	issue	issue	NOUN
ejpam-5910	1	15	3	3	NUM
ejpam-5910	1	16	,	,	PUNCT
ejpam-5910	1	17	article	article	NOUN
ejpam-5910	1	18	number	number	NOUN
ejpam-5910	1	19	5910	5910	NUM
ejpam-5910	1	20	issn	issn	PROPN
ejpam-5910	1	21	1307	1307	NUM
ejpam-5910	1	22	-	-	SYM
ejpam-5910	1	23	5543	5543	NUM
ejpam-5910	1	24	–	–	PUNCT
ejpam-5910	1	25	ejpam.com	ejpam.com	X
ejpam-5910	1	26	published	publish	VERB
ejpam-5910	1	27	by	by	ADP
ejpam-5910	1	28	new	new	PROPN
ejpam-5910	1	29	york	york	PROPN
ejpam-5910	1	30	business	business	PROPN
ejpam-5910	1	31	global	global	ADJ
ejpam-5910	1	32	steady	steady	ADJ
ejpam-5910	1	33	-	-	PUNCT
ejpam-5910	1	34	state	state	NOUN
ejpam-5910	1	35	performance	performance	NOUN
ejpam-5910	1	36	evaluation	evaluation	NOUN
ejpam-5910	1	37	of	of	ADP
ejpam-5910	1	38	an	an	DET
ejpam-5910	1	39	m	m	NOUN
ejpam-5910	1	40	[	[	X
ejpam-5910	1	41	x]/g(a	x]/g(a	PROPN
ejpam-5910	1	42	,	,	PUNCT
ejpam-5910	1	43	b)/1	b)/1	PROPN
ejpam-5910	1	44	queue	queue	NOUN
ejpam-5910	1	45	with	with	ADP
ejpam-5910	1	46	low	low	ADJ
ejpam-5910	1	47	-	-	PUNCT
ejpam-5910	1	48	batch	batch	NOUN
ejpam-5910	1	49	service	service	NOUN
ejpam-5910	1	50	,	,	PUNCT
ejpam-5910	1	51	multiple	multiple	ADJ
ejpam-5910	1	52	vacations	vacation	NOUN
ejpam-5910	1	53	and	and	CCONJ
ejpam-5910	1	54	uninterruptible	uninterruptible	ADJ
ejpam-5910	1	55	server	server	NOUN
ejpam-5910	1	56	renovation	renovation	NOUN
ejpam-5910	1	57	karpagam	karpagam	NOUN
ejpam-5910	1	58	s1	s1	PROPN
ejpam-5910	1	59	,	,	PUNCT
ejpam-5910	1	60	aarthy	aarthy	ADJ
ejpam-5910	1	61	n1	n1	NOUN
ejpam-5910	1	62	,	,	PUNCT
ejpam-5910	1	63	gopal	gopal	PROPN
ejpam-5910	1	64	kumar	kumar	PROPN
ejpam-5910	1	65	gupta2,∗	gupta2,∗	PROPN
ejpam-5910	1	66	1	1	NUM
ejpam-5910	1	67	department	department	NOUN
ejpam-5910	1	68	of	of	ADP
ejpam-5910	1	69	mathematics	mathematic	NOUN
ejpam-5910	1	70	,	,	PUNCT
ejpam-5910	1	71	vel	vel	PROPN
ejpam-5910	1	72	tech	tech	PROPN
ejpam-5910	1	73	rangarajan	rangarajan	PROPN
ejpam-5910	1	74	dr	dr	PROPN
ejpam-5910	1	75	.	.	PROPN
ejpam-5910	1	76	sagunthala	sagunthala	PROPN
ejpam-5910	1	77	r&d	r&d	PROPN
ejpam-5910	1	78	institute	institute	PROPN
ejpam-5910	1	79	of	of	ADP
ejpam-5910	1	80	science	science	NOUN
ejpam-5910	1	81	and	and	CCONJ
ejpam-5910	1	82	technology	technology	NOUN
ejpam-5910	1	83	,	,	PUNCT
ejpam-5910	1	84	chennai	chennai	PROPN
ejpam-5910	1	85	,	,	PUNCT
ejpam-5910	1	86	tamil	tamil	PROPN
ejpam-5910	1	87	nadu	nadu	PROPN
ejpam-5910	1	88	,	,	PUNCT
ejpam-5910	1	89	india	india	PROPN
ejpam-5910	1	90	2	2	NUM
ejpam-5910	1	91	symbiosis	symbiosis	NOUN
ejpam-5910	1	92	institute	institute	NOUN
ejpam-5910	1	93	of	of	ADP
ejpam-5910	1	94	technology	technology	PROPN
ejpam-5910	1	95	nagpur	nagpur	PROPN
ejpam-5910	1	96	campus	campus	PROPN
ejpam-5910	1	97	,	,	PUNCT
ejpam-5910	1	98	symbiosis	symbiosis	NOUN
ejpam-5910	1	99	international	international	ADJ
ejpam-5910	1	100	(	(	PUNCT
ejpam-5910	1	101	deemed	deem	VERB
ejpam-5910	1	102	university	university	NOUN
ejpam-5910	1	103	)	)	PUNCT
ejpam-5910	1	104	pune	pune	PROPN
ejpam-5910	1	105	india	india	PROPN
ejpam-5910	1	106	abstract	abstract	NOUN
ejpam-5910	1	107	.	.	PUNCT
ejpam-5910	2	1	this	this	DET
ejpam-5910	2	2	study	study	NOUN
ejpam-5910	2	3	examines	examine	VERB
ejpam-5910	2	4	the	the	DET
ejpam-5910	2	5	behaviour	behaviour	NOUN
ejpam-5910	2	6	of	of	ADP
ejpam-5910	2	7	uninterruptible	uninterruptible	ADJ
ejpam-5910	2	8	server	server	NOUN
ejpam-5910	2	9	breakdowns	breakdown	NOUN
ejpam-5910	2	10	in	in	ADP
ejpam-5910	2	11	a	a	DET
ejpam-5910	2	12	bulk	bulk	ADJ
ejpam-5910	2	13	service	service	NOUN
ejpam-5910	2	14	queueing	queue	VERB
ejpam-5910	2	15	system	system	NOUN
ejpam-5910	2	16	with	with	ADP
ejpam-5910	2	17	multiple	multiple	ADJ
ejpam-5910	2	18	vacations	vacation	NOUN
ejpam-5910	2	19	and	and	CCONJ
ejpam-5910	2	20	low	low	ADJ
ejpam-5910	2	21	-	-	PUNCT
ejpam-5910	2	22	batch	batch	NOUN
ejpam-5910	2	23	service	service	NOUN
ejpam-5910	2	24	(	(	PUNCT
ejpam-5910	2	25	lbs	lbs	NOUN
ejpam-5910	2	26	)	)	PUNCT
ejpam-5910	2	27	.	.	PUNCT
ejpam-5910	3	1	the	the	DET
ejpam-5910	3	2	system	system	NOUN
ejpam-5910	3	3	consists	consist	VERB
ejpam-5910	3	4	of	of	ADP
ejpam-5910	3	5	a	a	DET
ejpam-5910	3	6	single	single	ADJ
ejpam-5910	3	7	server	server	NOUN
ejpam-5910	3	8	that	that	PRON
ejpam-5910	3	9	operates	operate	VERB
ejpam-5910	3	10	under	under	ADP
ejpam-5910	3	11	two	two	NUM
ejpam-5910	3	12	service	service	NOUN
ejpam-5910	3	13	modes	mode	NOUN
ejpam-5910	3	14	:	:	PUNCT
ejpam-5910	3	15	the	the	DET
ejpam-5910	3	16	general	general	ADJ
ejpam-5910	3	17	bulk	bulk	ADJ
ejpam-5910	3	18	service	service	NOUN
ejpam-5910	3	19	rule	rule	NOUN
ejpam-5910	3	20	(	(	PUNCT
ejpam-5910	3	21	gbsr	gbsr	NOUN
ejpam-5910	3	22	)	)	PUNCT
ejpam-5910	3	23	and	and	CCONJ
ejpam-5910	3	24	low	low	ADJ
ejpam-5910	3	25	-	-	PUNCT
ejpam-5910	3	26	batch	batch	NOUN
ejpam-5910	3	27	service	service	NOUN
ejpam-5910	3	28	(	(	PUNCT
ejpam-5910	3	29	lbs	lbs	NOUN
ejpam-5910	3	30	)	)	PUNCT
ejpam-5910	3	31	.	.	PUNCT
ejpam-5910	4	1	when	when	SCONJ
ejpam-5910	4	2	each	each	DET
ejpam-5910	4	3	time	time	NOUN
ejpam-5910	4	4	bulk	bulk	ADJ
ejpam-5910	4	5	service	service	NOUN
ejpam-5910	4	6	is	be	AUX
ejpam-5910	4	7	completed	complete	VERB
ejpam-5910	4	8	,	,	PUNCT
ejpam-5910	4	9	the	the	DET
ejpam-5910	4	10	server	server	NOUN
ejpam-5910	4	11	may	may	AUX
ejpam-5910	4	12	break	break	VERB
ejpam-5910	4	13	down	down	ADP
ejpam-5910	4	14	with	with	ADP
ejpam-5910	4	15	probability	probability	NOUN
ejpam-5910	4	16	φ	φ	NOUN
ejpam-5910	4	17	,	,	PUNCT
ejpam-5910	4	18	in	in	ADP
ejpam-5910	4	19	this	this	DET
ejpam-5910	4	20	case	case	NOUN
ejpam-5910	4	21	it	it	PRON
ejpam-5910	4	22	is	be	AUX
ejpam-5910	4	23	immediately	immediately	ADV
ejpam-5910	4	24	sent	send	VERB
ejpam-5910	4	25	for	for	ADP
ejpam-5910	4	26	repair	repair	NOUN
ejpam-5910	4	27	.	.	PUNCT
ejpam-5910	5	1	upon	upon	SCONJ
ejpam-5910	5	2	repair	repair	NOUN
ejpam-5910	5	3	completion	completion	NOUN
ejpam-5910	5	4	,	,	PUNCT
ejpam-5910	5	5	or	or	CCONJ
ejpam-5910	5	6	if	if	SCONJ
ejpam-5910	5	7	no	no	DET
ejpam-5910	5	8	breakdown	breakdown	NOUN
ejpam-5910	5	9	occurs	occur	VERB
ejpam-5910	5	10	(	(	PUNCT
ejpam-5910	5	11	with	with	ADP
ejpam-5910	5	12	probability	probability	NOUN
ejpam-5910	5	13	1−	1−	NUM
ejpam-5910	5	14	φ	φ	NUM
ejpam-5910	5	15	)	)	PUNCT
ejpam-5910	5	16	,	,	PUNCT
ejpam-5910	5	17	or	or	CCONJ
ejpam-5910	5	18	at	at	ADP
ejpam-5910	5	19	the	the	DET
ejpam-5910	5	20	moment	moment	NOUN
ejpam-5910	5	21	of	of	ADP
ejpam-5910	5	22	lbs	lbs	PROPN
ejpam-5910	5	23	completion	completion	NOUN
ejpam-5910	5	24	,	,	PUNCT
ejpam-5910	5	25	the	the	DET
ejpam-5910	5	26	server	server	NOUN
ejpam-5910	5	27	checks	check	VERB
ejpam-5910	5	28	the	the	DET
ejpam-5910	5	29	queue	queue	NOUN
ejpam-5910	5	30	length	length	NOUN
ejpam-5910	5	31	.	.	PUNCT
ejpam-5910	6	1	if	if	SCONJ
ejpam-5910	6	2	no	no	DET
ejpam-5910	6	3	customers	customer	NOUN
ejpam-5910	6	4	are	be	AUX
ejpam-5910	6	5	waiting	wait	VERB
ejpam-5910	6	6	,	,	PUNCT
ejpam-5910	6	7	the	the	DET
ejpam-5910	6	8	server	server	NOUN
ejpam-5910	6	9	initiates	initiate	VERB
ejpam-5910	6	10	multiple	multiple	ADJ
ejpam-5910	6	11	random	random	ADJ
ejpam-5910	6	12	-	-	PUNCT
ejpam-5910	6	13	length	length	NOUN
ejpam-5910	6	14	vacations	vacation	NOUN
ejpam-5910	6	15	.	.	PUNCT
ejpam-5910	7	1	upon	upon	SCONJ
ejpam-5910	7	2	returning	return	VERB
ejpam-5910	7	3	from	from	ADP
ejpam-5910	7	4	a	a	DET
ejpam-5910	7	5	vacation	vacation	NOUN
ejpam-5910	7	6	,	,	PUNCT
ejpam-5910	7	7	if	if	SCONJ
ejpam-5910	7	8	fewer	few	ADJ
ejpam-5910	7	9	than	than	ADP
ejpam-5910	7	10	‘	'	PUNCT
ejpam-5910	7	11	a	a	DET
ejpam-5910	7	12	’	'	PUNCT
ejpam-5910	7	13	customers	customer	NOUN
ejpam-5910	7	14	are	be	AUX
ejpam-5910	7	15	present	present	ADJ
ejpam-5910	7	16	,	,	PUNCT
ejpam-5910	7	17	the	the	DET
ejpam-5910	7	18	server	server	NOUN
ejpam-5910	7	19	takes	take	VERB
ejpam-5910	7	20	another	another	DET
ejpam-5910	7	21	vacation	vacation	NOUN
ejpam-5910	7	22	,	,	PUNCT
ejpam-5910	7	23	repeating	repeat	VERB
ejpam-5910	7	24	this	this	DET
ejpam-5910	7	25	process	process	NOUN
ejpam-5910	7	26	until	until	SCONJ
ejpam-5910	7	27	at	at	ADP
ejpam-5910	7	28	least	least	ADJ
ejpam-5910	7	29	‘	'	PUNCT
ejpam-5910	7	30	a	a	DET
ejpam-5910	7	31	’	'	PUNCT
ejpam-5910	7	32	customers	customer	NOUN
ejpam-5910	7	33	are	be	AUX
ejpam-5910	7	34	in	in	ADP
ejpam-5910	7	35	the	the	DET
ejpam-5910	7	36	queue	queue	NOUN
ejpam-5910	7	37	.	.	PUNCT
ejpam-5910	8	1	once	once	ADV
ejpam-5910	8	2	this	this	DET
ejpam-5910	8	3	threshold	threshold	NOUN
ejpam-5910	8	4	is	be	AUX
ejpam-5910	8	5	met	meet	VERB
ejpam-5910	8	6	,	,	PUNCT
ejpam-5910	8	7	the	the	DET
ejpam-5910	8	8	server	server	NOUN
ejpam-5910	8	9	starts	start	VERB
ejpam-5910	8	10	bulk	bulk	ADJ
ejpam-5910	8	11	service	service	NOUN
ejpam-5910	8	12	.	.	PUNCT
ejpam-5910	9	1	after	after	ADP
ejpam-5910	9	2	each	each	DET
ejpam-5910	9	3	service	service	NOUN
ejpam-5910	9	4	completion	completion	NOUN
ejpam-5910	9	5	,	,	PUNCT
ejpam-5910	9	6	the	the	DET
ejpam-5910	9	7	server	server	NOUN
ejpam-5910	9	8	start	start	VERB
ejpam-5910	9	9	bulk	bulk	ADJ
ejpam-5910	9	10	service	service	NOUN
ejpam-5910	9	11	or	or	CCONJ
ejpam-5910	9	12	low	low	ADJ
ejpam-5910	9	13	-	-	PUNCT
ejpam-5910	9	14	batch	batch	NOUN
ejpam-5910	9	15	service	service	NOUN
ejpam-5910	9	16	based	base	VERB
ejpam-5910	9	17	on	on	ADP
ejpam-5910	9	18	the	the	DET
ejpam-5910	9	19	queue	queue	NOUN
ejpam-5910	9	20	length	length	NOUN
ejpam-5910	9	21	.	.	PUNCT
ejpam-5910	10	1	this	this	DET
ejpam-5910	10	2	paper	paper	NOUN
ejpam-5910	10	3	primarily	primarily	ADV
ejpam-5910	10	4	analyses	analyse	VERB
ejpam-5910	10	5	how	how	SCONJ
ejpam-5910	10	6	lbs	lbs	ADJ
ejpam-5910	10	7	implementation	implementation	NOUN
ejpam-5910	10	8	influences	influence	VERB
ejpam-5910	10	9	key	key	ADJ
ejpam-5910	10	10	performance	performance	NOUN
ejpam-5910	10	11	metrics	metric	NOUN
ejpam-5910	10	12	and	and	CCONJ
ejpam-5910	10	13	the	the	DET
ejpam-5910	10	14	breakdown	breakdown	ADJ
ejpam-5910	10	15	probability	probability	NOUN
ejpam-5910	10	16	ratio	ratio	NOUN
ejpam-5910	10	17	.	.	PUNCT
ejpam-5910	11	1	numerical	numerical	PROPN
ejpam-5910	11	2	results	result	NOUN
ejpam-5910	11	3	demonstrate	demonstrate	VERB
ejpam-5910	11	4	the	the	DET
ejpam-5910	11	5	model	model	NOUN
ejpam-5910	11	6	’s	’s	PART
ejpam-5910	11	7	effectiveness	effectiveness	NOUN
ejpam-5910	11	8	,	,	PUNCT
ejpam-5910	11	9	and	and	CCONJ
ejpam-5910	11	10	a	a	DET
ejpam-5910	11	11	cost	cost	NOUN
ejpam-5910	11	12	analysis	analysis	NOUN
ejpam-5910	11	13	reveals	reveal	VERB
ejpam-5910	11	14	that	that	SCONJ
ejpam-5910	11	15	adopting	adopt	VERB
ejpam-5910	11	16	lbs	lbs	NOUN
ejpam-5910	11	17	significantly	significantly	ADV
ejpam-5910	11	18	reduces	reduce	VERB
ejpam-5910	11	19	overall	overall	ADJ
ejpam-5910	11	20	operational	operational	ADJ
ejpam-5910	11	21	expenses	expense	NOUN
ejpam-5910	11	22	.	.	PUNCT
ejpam-5910	12	1	2020	2020	NUM
ejpam-5910	12	2	mathematics	mathematic	NOUN
ejpam-5910	12	3	subject	subject	NOUN
ejpam-5910	12	4	classifications	classification	NOUN
ejpam-5910	12	5	:	:	PUNCT
ejpam-5910	12	6	60k25	60k25	NUM
ejpam-5910	12	7	,	,	PUNCT
ejpam-5910	12	8	60k30	60k30	NUM
ejpam-5910	12	9	,	,	PUNCT
ejpam-5910	12	10	90b22	90b22	NUM
ejpam-5910	12	11	key	key	ADJ
ejpam-5910	12	12	words	word	NOUN
ejpam-5910	12	13	and	and	CCONJ
ejpam-5910	12	14	phrases	phrase	NOUN
ejpam-5910	12	15	:	:	PUNCT
ejpam-5910	12	16	bulk	bulk	ADJ
ejpam-5910	12	17	queue	queue	NOUN
ejpam-5910	12	18	,	,	PUNCT
ejpam-5910	12	19	multiple	multiple	ADJ
ejpam-5910	12	20	vacation	vacation	NOUN
ejpam-5910	12	21	,	,	PUNCT
ejpam-5910	12	22	renovation	renovation	NOUN
ejpam-5910	12	23	,	,	PUNCT
ejpam-5910	12	24	low	low	ADJ
ejpam-5910	12	25	-	-	PUNCT
ejpam-5910	12	26	batch	batch	NOUN
ejpam-5910	12	27	service	service	NOUN
ejpam-5910	12	28	1	1	NUM
ejpam-5910	12	29	.	.	PUNCT
ejpam-5910	13	1	introduction	introduction	NOUN
ejpam-5910	13	2	bulk	bulk	NOUN
ejpam-5910	13	3	queueing	queue	VERB
ejpam-5910	13	4	systems	system	NOUN
ejpam-5910	13	5	are	be	AUX
ejpam-5910	13	6	common	common	ADJ
ejpam-5910	13	7	and	and	CCONJ
ejpam-5910	13	8	necessary	necessary	ADJ
ejpam-5910	13	9	for	for	ADP
ejpam-5910	13	10	the	the	DET
ejpam-5910	13	11	effective	effective	ADJ
ejpam-5910	13	12	and	and	CCONJ
ejpam-5910	13	13	efficient	efficient	ADJ
ejpam-5910	13	14	use	use	NOUN
ejpam-5910	13	15	of	of	ADP
ejpam-5910	13	16	resources	resource	NOUN
ejpam-5910	13	17	in	in	ADP
ejpam-5910	13	18	many	many	ADJ
ejpam-5910	13	19	situations	situation	NOUN
ejpam-5910	13	20	in	in	ADP
ejpam-5910	13	21	the	the	DET
ejpam-5910	13	22	real	real	ADJ
ejpam-5910	13	23	world	world	NOUN
ejpam-5910	13	24	.	.	PUNCT
ejpam-5910	14	1	in	in	ADP
ejpam-5910	14	2	server	server	NOUN
ejpam-5910	14	3	vacation	vacation	NOUN
ejpam-5910	14	4	models	model	NOUN
ejpam-5910	14	5	,	,	PUNCT
ejpam-5910	14	6	the	the	DET
ejpam-5910	14	7	server	server	NOUN
ejpam-5910	14	8	uses	use	VERB
ejpam-5910	14	9	the	the	DET
ejpam-5910	14	10	unutilized	unutilized	ADJ
ejpam-5910	14	11	periods	period	NOUN
ejpam-5910	14	12	for	for	ADP
ejpam-5910	14	13	various	various	ADJ
ejpam-5910	14	14	activities	activity	NOUN
ejpam-5910	14	15	.	.	PUNCT
ejpam-5910	15	1	applications	application	NOUN
ejpam-5910	15	2	of	of	ADP
ejpam-5910	15	3	the	the	DET
ejpam-5910	15	4	server	server	NOUN
ejpam-5910	15	5	vacation	vacation	NOUN
ejpam-5910	15	6	model	model	NOUN
ejpam-5910	15	7	include	include	VERB
ejpam-5910	15	8	maintaining	maintain	VERB
ejpam-5910	15	9	files	file	NOUN
ejpam-5910	15	10	,	,	PUNCT
ejpam-5910	15	11	process	process	NOUN
ejpam-5910	15	12	control	control	NOUN
ejpam-5910	15	13	,	,	PUNCT
ejpam-5910	15	14	managing	manage	VERB
ejpam-5910	15	15	memory	memory	NOUN
ejpam-5910	15	16	,	,	PUNCT
ejpam-5910	15	17	shared	share	VERB
ejpam-5910	15	18	resource	resource	NOUN
ejpam-5910	15	19	maintenance	maintenance	NOUN
ejpam-5910	15	20	,	,	PUNCT
ejpam-5910	15	21	∗corresponding	∗corresponde	VERB
ejpam-5910	15	22	author	author	NOUN
ejpam-5910	15	23	.	.	PUNCT
ejpam-5910	16	1	doi	doi	NOUN
ejpam-5910	16	2	:	:	PUNCT
ejpam-5910	16	3	https://doi.org/10.29020/nybg.ejpam.v18i3.5910	https://doi.org/10.29020/nybg.ejpam.v18i3.5910	NUM
ejpam-5910	16	4	email	email	NOUN
ejpam-5910	16	5	addresses	address	NOUN
ejpam-5910	16	6	:	:	PUNCT
ejpam-5910	16	7	karpagammaths19@gmail.com	karpagammaths19@gmail.com	X
ejpam-5910	16	8	(	(	PUNCT
ejpam-5910	16	9	karpagam	karpagam	PROPN
ejpam-5910	16	10	s	s	NOUN
ejpam-5910	16	11	)	)	PUNCT
ejpam-5910	16	12	,	,	PUNCT
ejpam-5910	16	13	aarthyselvi2008@gmail.com	aarthyselvi2008@gmail.com	X
ejpam-5910	16	14	(	(	PUNCT
ejpam-5910	16	15	aarthy	aarthy	ADJ
ejpam-5910	16	16	n	n	CCONJ
ejpam-5910	16	17	)	)	PUNCT
ejpam-5910	16	18	,	,	PUNCT
ejpam-5910	16	19	gopalgupta.iitbhu90@gmail.com	gopalgupta.iitbhu90@gmail.com	X
ejpam-5910	16	20	(	(	PUNCT
ejpam-5910	16	21	g.	g.	PROPN
ejpam-5910	16	22	k.	k.	PROPN
ejpam-5910	16	23	gupta	gupta	PROPN
ejpam-5910	16	24	)	)	PUNCT
ejpam-5910	16	25	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5910	16	26	1	1	NUM
ejpam-5910	16	27	copyright	copyright	NOUN
ejpam-5910	16	28	:	:	PUNCT
ejpam-5910	16	29	©	©	PROPN
ejpam-5910	16	30	2025	2025	NUM
ejpam-5910	16	31	the	the	DET
ejpam-5910	16	32	author(s	author(s	NOUN
ejpam-5910	16	33	)	)	PUNCT
ejpam-5910	16	34	.	.	PUNCT
ejpam-5910	17	1	(	(	PUNCT
ejpam-5910	17	2	cc	cc	NOUN
ejpam-5910	17	3	by	by	ADP
ejpam-5910	17	4	-	-	PUNCT
ejpam-5910	17	5	nc	nc	PROPN
ejpam-5910	17	6	4.0	4.0	NUM
ejpam-5910	17	7	)	)	PUNCT
ejpam-5910	17	8	karpagam	karpagam	PROPN
ejpam-5910	17	9	s	s	PROPN
ejpam-5910	17	10	,	,	PUNCT
ejpam-5910	17	11	aarthy	aarthy	ADJ
ejpam-5910	17	12	n	n	CCONJ
ejpam-5910	17	13	,	,	PUNCT
ejpam-5910	18	1	g.	g.	PROPN
ejpam-5910	18	2	k.	k.	PROPN
ejpam-5910	18	3	gupta	gupta	PROPN
ejpam-5910	18	4	/	/	SYM
ejpam-5910	18	5	eur	eur	PROPN
ejpam-5910	18	6	.	.	PUNCT
ejpam-5910	19	1	j.	j.	PROPN
ejpam-5910	19	2	pure	pure	PROPN
ejpam-5910	19	3	appl	appl	PROPN
ejpam-5910	19	4	.	.	PROPN
ejpam-5910	19	5	math	math	PROPN
ejpam-5910	19	6	,	,	PUNCT
ejpam-5910	19	7	18	18	NUM
ejpam-5910	19	8	(	(	PUNCT
ejpam-5910	19	9	3	3	NUM
ejpam-5910	19	10	)	)	PUNCT
ejpam-5910	19	11	(	(	PUNCT
ejpam-5910	19	12	2025	2025	NUM
ejpam-5910	19	13	)	)	PUNCT
ejpam-5910	19	14	,	,	PUNCT
ejpam-5910	19	15	5910	5910	NUM
ejpam-5910	19	16	2	2	NUM
ejpam-5910	19	17	of	of	ADP
ejpam-5910	19	18	28	28	NUM
ejpam-5910	19	19	networking	network	VERB
ejpam-5910	19	20	systems	system	NOUN
ejpam-5910	19	21	,	,	PUNCT
ejpam-5910	19	22	chemical	chemical	NOUN
ejpam-5910	19	23	manufacturing	manufacturing	NOUN
ejpam-5910	19	24	industries	industry	NOUN
ejpam-5910	19	25	and	and	CCONJ
ejpam-5910	19	26	production	production	NOUN
ejpam-5910	19	27	systems	system	NOUN
ejpam-5910	19	28	.	.	PUNCT
ejpam-5910	20	1	the	the	DET
ejpam-5910	20	2	term	term	NOUN
ejpam-5910	20	3	“	"	PUNCT
ejpam-5910	20	4	server	server	NOUN
ejpam-5910	20	5	renovation	renovation	NOUN
ejpam-5910	20	6	works	work	NOUN
ejpam-5910	20	7	”	"	PUNCT
ejpam-5910	20	8	refers	refer	VERB
ejpam-5910	20	9	to	to	ADP
ejpam-5910	20	10	the	the	DET
ejpam-5910	20	11	process	process	NOUN
ejpam-5910	20	12	of	of	ADP
ejpam-5910	20	13	determining	determine	VERB
ejpam-5910	20	14	the	the	DET
ejpam-5910	20	15	state	state	NOUN
ejpam-5910	20	16	of	of	ADP
ejpam-5910	20	17	the	the	DET
ejpam-5910	20	18	service	service	NOUN
ejpam-5910	20	19	station	station	NOUN
ejpam-5910	20	20	’s	’s	PART
ejpam-5910	20	21	breakdown	breakdown	NOUN
ejpam-5910	20	22	,	,	PUNCT
ejpam-5910	20	23	repairing	repair	VERB
ejpam-5910	20	24	it	it	PRON
ejpam-5910	20	25	and	and	CCONJ
ejpam-5910	20	26	maintaining	maintain	VERB
ejpam-5910	20	27	other	other	ADJ
ejpam-5910	20	28	resources	resource	NOUN
ejpam-5910	20	29	.	.	PUNCT
ejpam-5910	21	1	in	in	ADP
ejpam-5910	21	2	real	real	ADJ
ejpam-5910	21	3	life	life	NOUN
ejpam-5910	21	4	,	,	PUNCT
ejpam-5910	21	5	maintenance	maintenance	NOUN
ejpam-5910	21	6	of	of	ADP
ejpam-5910	21	7	the	the	DET
ejpam-5910	21	8	service	service	NOUN
ejpam-5910	21	9	station	station	NOUN
ejpam-5910	21	10	may	may	AUX
ejpam-5910	21	11	be	be	AUX
ejpam-5910	21	12	necessary	necessary	ADJ
ejpam-5910	21	13	in	in	ADP
ejpam-5910	21	14	many	many	ADJ
ejpam-5910	21	15	circumstances	circumstance	NOUN
ejpam-5910	21	16	because	because	SCONJ
ejpam-5910	21	17	of	of	ADP
ejpam-5910	21	18	breakdowns	breakdown	NOUN
ejpam-5910	21	19	.	.	PUNCT
ejpam-5910	22	1	the	the	DET
ejpam-5910	22	2	system	system	NOUN
ejpam-5910	22	3	is	be	AUX
ejpam-5910	22	4	impacted	impact	VERB
ejpam-5910	22	5	by	by	ADP
ejpam-5910	22	6	these	these	DET
ejpam-5910	22	7	breakdowns	breakdown	NOUN
ejpam-5910	22	8	,	,	PUNCT
ejpam-5910	22	9	particularly	particularly	ADV
ejpam-5910	22	10	with	with	ADP
ejpam-5910	22	11	regard	regard	NOUN
ejpam-5910	22	12	to	to	ADP
ejpam-5910	22	13	the	the	DET
ejpam-5910	22	14	length	length	NOUN
ejpam-5910	22	15	of	of	ADP
ejpam-5910	22	16	the	the	DET
ejpam-5910	22	17	queue	queue	NOUN
ejpam-5910	22	18	and	and	CCONJ
ejpam-5910	22	19	waiting	waiting	NOUN
ejpam-5910	22	20	times	time	NOUN
ejpam-5910	22	21	for	for	ADP
ejpam-5910	22	22	customers	customer	NOUN
ejpam-5910	22	23	.	.	PUNCT
ejpam-5910	23	1	in	in	ADP
ejpam-5910	23	2	manufacturing	manufacturing	NOUN
ejpam-5910	23	3	,	,	PUNCT
ejpam-5910	23	4	low	low	ADJ
ejpam-5910	23	5	-	-	PUNCT
ejpam-5910	23	6	batch	batch	NOUN
ejpam-5910	23	7	service	service	NOUN
ejpam-5910	23	8	is	be	AUX
ejpam-5910	23	9	crucial	crucial	ADJ
ejpam-5910	23	10	for	for	ADP
ejpam-5910	23	11	maintaining	maintain	VERB
ejpam-5910	23	12	and	and	CCONJ
ejpam-5910	23	13	improving	improve	VERB
ejpam-5910	23	14	the	the	DET
ejpam-5910	23	15	efficiency	efficiency	NOUN
ejpam-5910	23	16	of	of	ADP
ejpam-5910	23	17	bulk	bulk	ADJ
ejpam-5910	23	18	services	service	NOUN
ejpam-5910	23	19	.	.	PUNCT
ejpam-5910	24	1	it	it	PRON
ejpam-5910	24	2	offers	offer	VERB
ejpam-5910	24	3	the	the	DET
ejpam-5910	24	4	flexibility	flexibility	NOUN
ejpam-5910	24	5	needed	need	VERB
ejpam-5910	24	6	to	to	PART
ejpam-5910	24	7	adapt	adapt	VERB
ejpam-5910	24	8	to	to	ADP
ejpam-5910	24	9	changing	change	VERB
ejpam-5910	24	10	demands	demand	NOUN
ejpam-5910	24	11	,	,	PUNCT
ejpam-5910	24	12	particularly	particularly	ADV
ejpam-5910	24	13	when	when	SCONJ
ejpam-5910	24	14	production	production	NOUN
ejpam-5910	24	15	volumes	volume	NOUN
ejpam-5910	24	16	are	be	AUX
ejpam-5910	24	17	insufficient	insufficient	ADJ
ejpam-5910	24	18	for	for	ADP
ejpam-5910	24	19	bulk	bulk	ADJ
ejpam-5910	24	20	processing	processing	NOUN
ejpam-5910	24	21	.	.	PUNCT
ejpam-5910	25	1	low	low	ADJ
ejpam-5910	25	2	-	-	PUNCT
ejpam-5910	25	3	batch	batch	NOUN
ejpam-5910	25	4	service	service	NOUN
ejpam-5910	25	5	eliminates	eliminate	VERB
ejpam-5910	25	6	delays	delay	NOUN
ejpam-5910	25	7	and	and	CCONJ
ejpam-5910	25	8	maintains	maintain	VERB
ejpam-5910	25	9	smooth	smooth	ADJ
ejpam-5910	25	10	workflows	workflow	NOUN
ejpam-5910	25	11	by	by	ADP
ejpam-5910	25	12	creating	create	VERB
ejpam-5910	25	13	smaller	small	ADJ
ejpam-5910	25	14	batches	batch	NOUN
ejpam-5910	25	15	that	that	PRON
ejpam-5910	25	16	are	be	AUX
ejpam-5910	25	17	customized	customize	VERB
ejpam-5910	25	18	to	to	PART
ejpam-5910	25	19	meet	meet	VERB
ejpam-5910	25	20	particular	particular	ADJ
ejpam-5910	25	21	demands	demand	NOUN
ejpam-5910	25	22	.	.	PUNCT
ejpam-5910	26	1	this	this	DET
ejpam-5910	26	2	support	support	NOUN
ejpam-5910	26	3	enhances	enhance	VERB
ejpam-5910	26	4	manufacturers	manufacturer	NOUN
ejpam-5910	26	5	competitiveness	competitiveness	NOUN
ejpam-5910	26	6	by	by	ADP
ejpam-5910	26	7	improving	improve	VERB
ejpam-5910	26	8	inventory	inventory	NOUN
ejpam-5910	26	9	management	management	NOUN
ejpam-5910	26	10	,	,	PUNCT
ejpam-5910	26	11	conserving	conserve	VERB
ejpam-5910	26	12	storage	storage	NOUN
ejpam-5910	26	13	space	space	NOUN
ejpam-5910	26	14	and	and	CCONJ
ejpam-5910	26	15	enabling	enable	VERB
ejpam-5910	26	16	quick	quick	ADJ
ejpam-5910	26	17	responses	response	NOUN
ejpam-5910	26	18	to	to	ADP
ejpam-5910	26	19	changes	change	NOUN
ejpam-5910	26	20	in	in	ADP
ejpam-5910	26	21	demand	demand	NOUN
ejpam-5910	26	22	.	.	PUNCT
ejpam-5910	27	1	combining	combine	VERB
ejpam-5910	27	2	bulk	bulk	ADJ
ejpam-5910	27	3	and	and	CCONJ
ejpam-5910	27	4	low	low	ADJ
ejpam-5910	27	5	-	-	PUNCT
ejpam-5910	27	6	batch	batch	NOUN
ejpam-5910	27	7	services	service	NOUN
ejpam-5910	27	8	maintains	maintain	VERB
ejpam-5910	27	9	client	client	NOUN
ejpam-5910	27	10	happiness	happiness	NOUN
ejpam-5910	27	11	and	and	CCONJ
ejpam-5910	27	12	ensures	ensure	VERB
ejpam-5910	27	13	efficiency	efficiency	NOUN
ejpam-5910	27	14	.	.	PUNCT
ejpam-5910	28	1	an	an	DET
ejpam-5910	28	2	example	example	NOUN
ejpam-5910	28	3	of	of	ADP
ejpam-5910	28	4	a	a	DET
ejpam-5910	28	5	bulk	bulk	ADJ
ejpam-5910	28	6	service	service	NOUN
ejpam-5910	28	7	queueing	queue	VERB
ejpam-5910	28	8	system	system	NOUN
ejpam-5910	28	9	in	in	ADP
ejpam-5910	28	10	the	the	DET
ejpam-5910	28	11	manufacturing	manufacturing	NOUN
ejpam-5910	28	12	industry	industry	NOUN
ejpam-5910	28	13	is	be	AUX
ejpam-5910	28	14	a	a	DET
ejpam-5910	28	15	beverage	beverage	NOUN
ejpam-5910	28	16	bottling	bottle	VERB
ejpam-5910	28	17	factory	factory	NOUN
ejpam-5910	28	18	.	.	PUNCT
ejpam-5910	29	1	at	at	ADP
ejpam-5910	29	2	this	this	DET
ejpam-5910	29	3	plant	plant	NOUN
ejpam-5910	29	4	,	,	PUNCT
ejpam-5910	29	5	bottles	bottle	NOUN
ejpam-5910	29	6	are	be	AUX
ejpam-5910	29	7	filled	fill	VERB
ejpam-5910	29	8	using	use	VERB
ejpam-5910	29	9	a	a	DET
ejpam-5910	29	10	bulk	bulk	ADJ
ejpam-5910	29	11	service	service	NOUN
ejpam-5910	29	12	system	system	NOUN
ejpam-5910	29	13	,	,	PUNCT
ejpam-5910	29	14	which	which	PRON
ejpam-5910	29	15	has	have	VERB
ejpam-5910	29	16	a	a	DET
ejpam-5910	29	17	minimum	minimum	ADJ
ejpam-5910	29	18	fill	fill	NOUN
ejpam-5910	29	19	amount	amount	NOUN
ejpam-5910	29	20	of	of	ADP
ejpam-5910	29	21	5,000	5,000	NUM
ejpam-5910	29	22	bottles	bottle	NOUN
ejpam-5910	29	23	and	and	CCONJ
ejpam-5910	29	24	a	a	DET
ejpam-5910	29	25	maximum	maximum	ADJ
ejpam-5910	29	26	fill	fill	NOUN
ejpam-5910	29	27	capacity	capacity	NOUN
ejpam-5910	29	28	of	of	ADP
ejpam-5910	29	29	20,000	20,000	NUM
ejpam-5910	29	30	bottles	bottle	NOUN
ejpam-5910	29	31	each	each	DET
ejpam-5910	29	32	shift	shift	NOUN
ejpam-5910	29	33	.	.	PUNCT
ejpam-5910	30	1	when	when	SCONJ
ejpam-5910	30	2	the	the	DET
ejpam-5910	30	3	service	service	NOUN
ejpam-5910	30	4	capacity	capacity	NOUN
ejpam-5910	30	5	drops	drop	VERB
ejpam-5910	30	6	below	below	ADP
ejpam-5910	30	7	the	the	DET
ejpam-5910	30	8	minimum	minimum	NOUN
ejpam-5910	30	9	,	,	PUNCT
ejpam-5910	30	10	it	it	PRON
ejpam-5910	30	11	enters	enter	VERB
ejpam-5910	30	12	a	a	DET
ejpam-5910	30	13	low	low	ADJ
ejpam-5910	30	14	-	-	PUNCT
ejpam-5910	30	15	batch	batch	NOUN
ejpam-5910	30	16	service	service	NOUN
ejpam-5910	30	17	mode	mode	NOUN
ejpam-5910	30	18	.	.	PUNCT
ejpam-5910	31	1	the	the	DET
ejpam-5910	31	2	factory	factory	NOUN
ejpam-5910	31	3	fills	fill	VERB
ejpam-5910	31	4	and	and	CCONJ
ejpam-5910	31	5	caps	cap	VERB
ejpam-5910	31	6	bottles	bottle	NOUN
ejpam-5910	31	7	on	on	ADP
ejpam-5910	31	8	a	a	DET
ejpam-5910	31	9	production	production	NOUN
ejpam-5910	31	10	line	line	NOUN
ejpam-5910	31	11	with	with	ADP
ejpam-5910	31	12	efficiency	efficiency	NOUN
ejpam-5910	31	13	when	when	SCONJ
ejpam-5910	31	14	demand	demand	NOUN
ejpam-5910	31	15	is	be	AUX
ejpam-5910	31	16	high	high	ADJ
ejpam-5910	31	17	since	since	SCONJ
ejpam-5910	31	18	it	it	PRON
ejpam-5910	31	19	operates	operate	VERB
ejpam-5910	31	20	at	at	ADP
ejpam-5910	31	21	maximum	maximum	ADJ
ejpam-5910	31	22	capacity	capacity	NOUN
ejpam-5910	31	23	.	.	PUNCT
ejpam-5910	32	1	the	the	DET
ejpam-5910	32	2	system	system	NOUN
ejpam-5910	32	3	automatically	automatically	ADV
ejpam-5910	32	4	transitions	transition	NOUN
ejpam-5910	32	5	to	to	ADP
ejpam-5910	32	6	a	a	DET
ejpam-5910	32	7	low	low	ADJ
ejpam-5910	32	8	-	-	PUNCT
ejpam-5910	32	9	batch	batch	NOUN
ejpam-5910	32	10	service	service	NOUN
ejpam-5910	32	11	if	if	SCONJ
ejpam-5910	32	12	the	the	DET
ejpam-5910	32	13	bottle	bottle	NOUN
ejpam-5910	32	14	supply	supply	NOUN
ejpam-5910	32	15	drops	drop	VERB
ejpam-5910	32	16	below	below	ADP
ejpam-5910	32	17	the	the	DET
ejpam-5910	32	18	minimum	minimum	NOUN
ejpam-5910	32	19	capacity	capacity	NOUN
ejpam-5910	32	20	,	,	PUNCT
ejpam-5910	32	21	allowing	allow	VERB
ejpam-5910	32	22	the	the	DET
ejpam-5910	32	23	factory	factory	NOUN
ejpam-5910	32	24	to	to	PART
ejpam-5910	32	25	run	run	VERB
ejpam-5910	32	26	continuously	continuously	ADV
ejpam-5910	32	27	.	.	PUNCT
ejpam-5910	33	1	suppose	suppose	VERB
ejpam-5910	33	2	that	that	SCONJ
ejpam-5910	33	3	a	a	DET
ejpam-5910	33	4	filling	fill	VERB
ejpam-5910	33	5	machine	machine	NOUN
ejpam-5910	33	6	fails	fail	VERB
ejpam-5910	33	7	because	because	SCONJ
ejpam-5910	33	8	of	of	ADP
ejpam-5910	33	9	a	a	DET
ejpam-5910	33	10	defective	defective	ADJ
ejpam-5910	33	11	sense	sense	NOUN
ejpam-5910	33	12	during	during	ADP
ejpam-5910	33	13	a	a	DET
ejpam-5910	33	14	busy	busy	ADJ
ejpam-5910	33	15	manufacturing	manufacturing	NOUN
ejpam-5910	33	16	run	run	NOUN
ejpam-5910	33	17	,	,	PUNCT
ejpam-5910	33	18	the	the	DET
ejpam-5910	33	19	operators	operator	NOUN
ejpam-5910	33	20	quickly	quickly	ADV
ejpam-5910	33	21	implement	implement	VERB
ejpam-5910	33	22	alternative	alternative	ADJ
ejpam-5910	33	23	procedures	procedure	NOUN
ejpam-5910	33	24	,	,	PUNCT
ejpam-5910	33	25	such	such	ADJ
ejpam-5910	33	26	as	as	ADP
ejpam-5910	33	27	transferring	transfer	VERB
ejpam-5910	33	28	to	to	ADP
ejpam-5910	33	29	a	a	DET
ejpam-5910	33	30	backup	backup	ADJ
ejpam-5910	33	31	filling	filling	NOUN
ejpam-5910	33	32	line	line	NOUN
ejpam-5910	33	33	or	or	CCONJ
ejpam-5910	33	34	employing	employ	VERB
ejpam-5910	33	35	manual	manual	ADJ
ejpam-5910	33	36	filling	filling	NOUN
ejpam-5910	33	37	processes	process	NOUN
ejpam-5910	33	38	,	,	PUNCT
ejpam-5910	33	39	in	in	ADP
ejpam-5910	33	40	order	order	NOUN
ejpam-5910	33	41	to	to	PART
ejpam-5910	33	42	guarantee	guarantee	VERB
ejpam-5910	33	43	that	that	SCONJ
ejpam-5910	33	44	the	the	DET
ejpam-5910	33	45	current	current	ADJ
ejpam-5910	33	46	batch	batch	NOUN
ejpam-5910	33	47	of	of	ADP
ejpam-5910	33	48	beverages	beverage	NOUN
ejpam-5910	33	49	is	be	AUX
ejpam-5910	33	50	finished	finish	VERB
ejpam-5910	33	51	rather	rather	ADV
ejpam-5910	33	52	than	than	ADP
ejpam-5910	33	53	stopping	stop	VERB
ejpam-5910	33	54	production	production	NOUN
ejpam-5910	33	55	totally	totally	ADV
ejpam-5910	33	56	.	.	PUNCT
ejpam-5910	34	1	by	by	ADP
ejpam-5910	34	2	using	use	VERB
ejpam-5910	34	3	this	this	DET
ejpam-5910	34	4	method	method	NOUN
ejpam-5910	34	5	,	,	PUNCT
ejpam-5910	34	6	the	the	DET
ejpam-5910	34	7	breakdown	breakdown	NOUN
ejpam-5910	34	8	’s	’s	PART
ejpam-5910	34	9	effects	effect	NOUN
ejpam-5910	34	10	are	be	AUX
ejpam-5910	34	11	reduced	reduce	VERB
ejpam-5910	34	12	while	while	SCONJ
ejpam-5910	34	13	the	the	DET
ejpam-5910	34	14	plant	plant	NOUN
ejpam-5910	34	15	can	can	AUX
ejpam-5910	34	16	continue	continue	VERB
ejpam-5910	34	17	to	to	PART
ejpam-5910	34	18	operate	operate	VERB
ejpam-5910	34	19	.	.	PUNCT
ejpam-5910	35	1	when	when	SCONJ
ejpam-5910	35	2	the	the	DET
ejpam-5910	35	3	bulk	bulk	ADJ
ejpam-5910	35	4	or	or	CCONJ
ejpam-5910	35	5	low	low	ADJ
ejpam-5910	35	6	-	-	PUNCT
ejpam-5910	35	7	batch	batch	NOUN
ejpam-5910	35	8	lines	line	NOUN
ejpam-5910	35	9	are	be	AUX
ejpam-5910	35	10	empty	empty	ADJ
ejpam-5910	35	11	of	of	ADP
ejpam-5910	35	12	bottles	bottle	NOUN
ejpam-5910	35	13	,	,	PUNCT
ejpam-5910	35	14	the	the	DET
ejpam-5910	35	15	plant	plant	NOUN
ejpam-5910	35	16	may	may	AUX
ejpam-5910	35	17	enter	enter	VERB
ejpam-5910	35	18	the	the	DET
ejpam-5910	35	19	vacation	vacation	NOUN
ejpam-5910	35	20	mode	mode	NOUN
ejpam-5910	35	21	.	.	PUNCT
ejpam-5910	36	1	maintenance	maintenance	NOUN
ejpam-5910	36	2	teams	team	NOUN
ejpam-5910	36	3	perform	perform	VERB
ejpam-5910	36	4	necessary	necessary	ADJ
ejpam-5910	36	5	tasks	task	NOUN
ejpam-5910	36	6	,	,	PUNCT
ejpam-5910	36	7	such	such	ADJ
ejpam-5910	36	8	as	as	ADP
ejpam-5910	36	9	cleaning	clean	VERB
ejpam-5910	36	10	machinery	machinery	NOUN
ejpam-5910	36	11	,	,	PUNCT
ejpam-5910	36	12	preventative	preventative	ADJ
ejpam-5910	36	13	maintenance	maintenance	NOUN
ejpam-5910	36	14	and	and	CCONJ
ejpam-5910	36	15	updating	update	VERB
ejpam-5910	36	16	equipment	equipment	NOUN
ejpam-5910	36	17	during	during	ADP
ejpam-5910	36	18	this	this	DET
ejpam-5910	36	19	period	period	NOUN
ejpam-5910	36	20	.	.	PUNCT
ejpam-5910	37	1	this	this	DET
ejpam-5910	37	2	proactive	proactive	ADJ
ejpam-5910	37	3	measure	measure	NOUN
ejpam-5910	37	4	assumed	assume	VERB
ejpam-5910	37	5	that	that	SCONJ
ejpam-5910	37	6	the	the	DET
ejpam-5910	37	7	machinery	machinery	NOUN
ejpam-5910	37	8	is	be	AUX
ejpam-5910	37	9	in	in	ADP
ejpam-5910	37	10	optimal	optimal	ADJ
ejpam-5910	37	11	working	working	NOUN
ejpam-5910	37	12	condition	condition	NOUN
ejpam-5910	37	13	when	when	SCONJ
ejpam-5910	37	14	manufacturing	manufacturing	NOUN
ejpam-5910	37	15	resumes	resume	VERB
ejpam-5910	37	16	.	.	PUNCT
ejpam-5910	38	1	once	once	SCONJ
ejpam-5910	38	2	the	the	DET
ejpam-5910	38	3	filling	filling	NOUN
ejpam-5910	38	4	machine	machine	NOUN
ejpam-5910	38	5	is	be	AUX
ejpam-5910	38	6	repaired	repair	VERB
ejpam-5910	38	7	and	and	CCONJ
ejpam-5910	38	8	the	the	DET
ejpam-5910	38	9	defective	defective	ADJ
ejpam-5910	38	10	sensor	sensor	NOUN
ejpam-5910	38	11	replaced	replace	VERB
ejpam-5910	38	12	,	,	PUNCT
ejpam-5910	38	13	the	the	DET
ejpam-5910	38	14	bottling	bottle	VERB
ejpam-5910	38	15	facility	facility	NOUN
ejpam-5910	38	16	reopens	reopen	VERB
ejpam-5910	38	17	for	for	ADP
ejpam-5910	38	18	the	the	DET
ejpam-5910	38	19	next	next	ADJ
ejpam-5910	38	20	production	production	NOUN
ejpam-5910	38	21	session	session	NOUN
ejpam-5910	38	22	.	.	PUNCT
ejpam-5910	39	1	with	with	ADP
ejpam-5910	39	2	strict	strict	ADJ
ejpam-5910	39	3	supervision	supervision	NOUN
ejpam-5910	39	4	,	,	PUNCT
ejpam-5910	39	5	the	the	DET
ejpam-5910	39	6	operators	operator	NOUN
ejpam-5910	39	7	make	make	VERB
ejpam-5910	39	8	sure	sure	ADJ
ejpam-5910	39	9	that	that	SCONJ
ejpam-5910	39	10	everything	everything	PRON
ejpam-5910	39	11	runs	run	VERB
ejpam-5910	39	12	well	well	ADV
ejpam-5910	39	13	so	so	SCONJ
ejpam-5910	39	14	that	that	SCONJ
ejpam-5910	39	15	the	the	DET
ejpam-5910	39	16	facility	facility	NOUN
ejpam-5910	39	17	can	can	AUX
ejpam-5910	39	18	resume	resume	VERB
ejpam-5910	39	19	producing	produce	VERB
ejpam-5910	39	20	20,000	20,000	NUM
ejpam-5910	39	21	bottles	bottle	NOUN
ejpam-5910	39	22	per	per	ADP
ejpam-5910	39	23	shift	shift	NOUN
ejpam-5910	39	24	,	,	PUNCT
ejpam-5910	39	25	which	which	PRON
ejpam-5910	39	26	is	be	AUX
ejpam-5910	39	27	its	its	PRON
ejpam-5910	39	28	maximum	maximum	ADJ
ejpam-5910	39	29	capacity	capacity	NOUN
ejpam-5910	39	30	.	.	PUNCT
ejpam-5910	40	1	this	this	DET
ejpam-5910	40	2	example	example	NOUN
ejpam-5910	40	3	shows	show	VERB
ejpam-5910	40	4	how	how	SCONJ
ejpam-5910	40	5	manufacturers	manufacturer	NOUN
ejpam-5910	40	6	can	can	AUX
ejpam-5910	40	7	adjust	adjust	VERB
ejpam-5910	40	8	to	to	ADP
ejpam-5910	40	9	equipment	equipment	NOUN
ejpam-5910	40	10	breakdowns	breakdown	NOUN
ejpam-5910	40	11	and	and	CCONJ
ejpam-5910	40	12	ensure	ensure	VERB
ejpam-5910	40	13	efficient	efficient	ADJ
ejpam-5910	40	14	resource	resource	NOUN
ejpam-5910	40	15	management	management	NOUN
ejpam-5910	40	16	while	while	SCONJ
ejpam-5910	40	17	sustaining	sustain	VERB
ejpam-5910	40	18	continuous	continuous	ADJ
ejpam-5910	40	19	operations	operation	NOUN
ejpam-5910	40	20	to	to	PART
ejpam-5910	40	21	successfully	successfully	ADV
ejpam-5910	40	22	manage	manage	VERB
ejpam-5910	40	23	production	production	NOUN
ejpam-5910	40	24	processes	process	NOUN
ejpam-5910	40	25	.	.	PUNCT
ejpam-5910	41	1	another	another	DET
ejpam-5910	41	2	real	real	ADJ
ejpam-5910	41	3	-	-	PUNCT
ejpam-5910	41	4	time	time	NOUN
ejpam-5910	41	5	example	example	NOUN
ejpam-5910	41	6	is	be	AUX
ejpam-5910	41	7	a	a	DET
ejpam-5910	41	8	cloud	cloud	NOUN
ejpam-5910	41	9	computing	compute	VERB
ejpam-5910	41	10	bulk	bulk	ADJ
ejpam-5910	41	11	service	service	NOUN
ejpam-5910	41	12	queueing	queue	VERB
ejpam-5910	41	13	system	system	NOUN
ejpam-5910	41	14	.	.	PUNCT
ejpam-5910	42	1	a	a	DET
ejpam-5910	42	2	cloud	cloud	NOUN
ejpam-5910	42	3	-	-	PUNCT
ejpam-5910	42	4	based	base	VERB
ejpam-5910	42	5	data	data	NOUN
ejpam-5910	42	6	center	center	NOUN
ejpam-5910	42	7	provides	provide	VERB
ejpam-5910	42	8	services	service	NOUN
ejpam-5910	42	9	for	for	ADP
ejpam-5910	42	10	bulk	bulk	ADJ
ejpam-5910	42	11	data	datum	NOUN
ejpam-5910	42	12	processing	processing	NOUN
ejpam-5910	42	13	,	,	PUNCT
ejpam-5910	42	14	operating	operate	VERB
ejpam-5910	42	15	with	with	ADP
ejpam-5910	42	16	a	a	DET
ejpam-5910	42	17	bulk	bulk	ADJ
ejpam-5910	42	18	service	service	NOUN
ejpam-5910	42	19	system	system	NOUN
ejpam-5910	42	20	that	that	PRON
ejpam-5910	42	21	has	have	VERB
ejpam-5910	42	22	both	both	CCONJ
ejpam-5910	42	23	a	a	DET
ejpam-5910	42	24	maximum	maximum	ADJ
ejpam-5910	42	25	and	and	CCONJ
ejpam-5910	42	26	a	a	DET
ejpam-5910	42	27	minimum	minimum	ADJ
ejpam-5910	42	28	processing	processing	NOUN
ejpam-5910	42	29	capacity	capacity	NOUN
ejpam-5910	42	30	for	for	ADP
ejpam-5910	42	31	handling	handle	VERB
ejpam-5910	42	32	requests	request	NOUN
ejpam-5910	42	33	.	.	PUNCT
ejpam-5910	43	1	when	when	SCONJ
ejpam-5910	43	2	the	the	DET
ejpam-5910	43	3	incoming	incoming	ADJ
ejpam-5910	43	4	request	request	NOUN
ejpam-5910	43	5	rate	rate	NOUN
ejpam-5910	43	6	drops	drop	NOUN
ejpam-5910	43	7	below	below	ADP
ejpam-5910	43	8	the	the	DET
ejpam-5910	43	9	minimum	minimum	ADJ
ejpam-5910	43	10	threshold	threshold	NOUN
ejpam-5910	43	11	,	,	PUNCT
ejpam-5910	43	12	the	the	DET
ejpam-5910	43	13	system	system	NOUN
ejpam-5910	43	14	switches	switch	VERB
ejpam-5910	43	15	to	to	ADP
ejpam-5910	43	16	a	a	DET
ejpam-5910	43	17	low	low	ADJ
ejpam-5910	43	18	-	-	PUNCT
ejpam-5910	43	19	batch	batch	NOUN
ejpam-5910	43	20	service	service	NOUN
ejpam-5910	43	21	mode	mode	NOUN
ejpam-5910	43	22	to	to	PART
ejpam-5910	43	23	ensure	ensure	VERB
ejpam-5910	43	24	continued	continued	ADJ
ejpam-5910	43	25	operation	operation	NOUN
ejpam-5910	43	26	.	.	PUNCT
ejpam-5910	44	1	during	during	ADP
ejpam-5910	44	2	periods	period	NOUN
ejpam-5910	44	3	of	of	ADP
ejpam-5910	44	4	high	high	ADJ
ejpam-5910	44	5	demand	demand	NOUN
ejpam-5910	44	6	,	,	PUNCT
ejpam-5910	44	7	the	the	DET
ejpam-5910	44	8	data	data	NOUN
ejpam-5910	44	9	center	center	NOUN
ejpam-5910	44	10	can	can	AUX
ejpam-5910	44	11	effectively	effectively	ADV
ejpam-5910	44	12	handle	handle	VERB
ejpam-5910	44	13	requests	request	NOUN
ejpam-5910	44	14	related	relate	VERB
ejpam-5910	44	15	to	to	ADP
ejpam-5910	44	16	tasks	task	NOUN
ejpam-5910	44	17	like	like	ADP
ejpam-5910	44	18	data	datum	NOUN
ejpam-5910	44	19	storage	storage	NOUN
ejpam-5910	44	20	,	,	PUNCT
ejpam-5910	44	21	retrieval	retrieval	NOUN
ejpam-5910	44	22	and	and	CCONJ
ejpam-5910	44	23	analysis	analysis	NOUN
ejpam-5910	44	24	to	to	ADP
ejpam-5910	44	25	maintaining	maintain	VERB
ejpam-5910	44	26	seamless	seamless	ADJ
ejpam-5910	44	27	service	service	NOUN
ejpam-5910	44	28	.	.	PUNCT
ejpam-5910	45	1	the	the	DET
ejpam-5910	45	2	automatic	automatic	ADJ
ejpam-5910	45	3	switch	switch	NOUN
ejpam-5910	45	4	to	to	ADP
ejpam-5910	45	5	low	low	ADJ
ejpam-5910	45	6	-	-	PUNCT
ejpam-5910	45	7	batch	batch	NOUN
ejpam-5910	45	8	mode	mode	NOUN
ejpam-5910	45	9	guarantees	guarantee	VERB
ejpam-5910	45	10	uninterrupted	uninterrupted	ADJ
ejpam-5910	45	11	operations	operation	NOUN
ejpam-5910	45	12	when	when	SCONJ
ejpam-5910	45	13	request	request	NOUN
ejpam-5910	45	14	volumes	volume	NOUN
ejpam-5910	45	15	are	be	AUX
ejpam-5910	45	16	karpagam	karpagam	PROPN
ejpam-5910	45	17	s	s	PROPN
ejpam-5910	45	18	,	,	PUNCT
ejpam-5910	45	19	aarthy	aarthy	ADJ
ejpam-5910	45	20	n	n	CCONJ
ejpam-5910	45	21	,	,	PUNCT
ejpam-5910	45	22	g.	g.	PROPN
ejpam-5910	45	23	k.	k.	PROPN
ejpam-5910	45	24	gupta	gupta	PROPN
ejpam-5910	45	25	/	/	SYM
ejpam-5910	45	26	eur	eur	PROPN
ejpam-5910	45	27	.	.	PUNCT
ejpam-5910	46	1	j.	j.	PROPN
ejpam-5910	46	2	pure	pure	PROPN
ejpam-5910	46	3	appl	appl	PROPN
ejpam-5910	46	4	.	.	PROPN
ejpam-5910	46	5	math	math	PROPN
ejpam-5910	46	6	,	,	PUNCT
ejpam-5910	46	7	18	18	NUM
ejpam-5910	46	8	(	(	PUNCT
ejpam-5910	46	9	3	3	NUM
ejpam-5910	46	10	)	)	PUNCT
ejpam-5910	46	11	(	(	PUNCT
ejpam-5910	46	12	2025	2025	NUM
ejpam-5910	46	13	)	)	PUNCT
ejpam-5910	46	14	,	,	PUNCT
ejpam-5910	46	15	5910	5910	NUM
ejpam-5910	46	16	3	3	NUM
ejpam-5910	46	17	of	of	ADP
ejpam-5910	46	18	28	28	NUM
ejpam-5910	46	19	low	low	ADJ
ejpam-5910	46	20	.	.	PUNCT
ejpam-5910	46	21	suppose	suppose	VERB
ejpam-5910	46	22	that	that	SCONJ
ejpam-5910	46	23	during	during	ADP
ejpam-5910	46	24	a	a	DET
ejpam-5910	46	25	high	high	ADJ
ejpam-5910	46	26	-	-	PUNCT
ejpam-5910	46	27	traffic	traffic	NOUN
ejpam-5910	46	28	period	period	NOUN
ejpam-5910	46	29	,	,	PUNCT
ejpam-5910	46	30	a	a	DET
ejpam-5910	46	31	critical	critical	ADJ
ejpam-5910	46	32	network	network	NOUN
ejpam-5910	46	33	switch	switch	NOUN
ejpam-5910	46	34	experiences	experience	VERB
ejpam-5910	46	35	a	a	DET
ejpam-5910	46	36	breakdown	breakdown	NOUN
ejpam-5910	46	37	,	,	PUNCT
ejpam-5910	46	38	causing	cause	VERB
ejpam-5910	46	39	some	some	DET
ejpam-5910	46	40	requests	request	NOUN
ejpam-5910	46	41	to	to	PART
ejpam-5910	46	42	be	be	AUX
ejpam-5910	46	43	delayed	delay	VERB
ejpam-5910	46	44	.	.	PUNCT
ejpam-5910	47	1	instead	instead	ADV
ejpam-5910	47	2	of	of	ADP
ejpam-5910	47	3	halting	halt	VERB
ejpam-5910	47	4	all	all	DET
ejpam-5910	47	5	operations	operation	NOUN
ejpam-5910	47	6	,	,	PUNCT
ejpam-5910	47	7	the	the	DET
ejpam-5910	47	8	data	data	NOUN
ejpam-5910	47	9	center	center	NOUN
ejpam-5910	47	10	employs	employ	VERB
ejpam-5910	47	11	alternative	alternative	ADJ
ejpam-5910	47	12	routing	routing	NOUN
ejpam-5910	47	13	methods	method	NOUN
ejpam-5910	47	14	,	,	PUNCT
ejpam-5910	47	15	such	such	ADJ
ejpam-5910	47	16	as	as	ADP
ejpam-5910	47	17	redirecting	redirect	VERB
ejpam-5910	47	18	traffic	traffic	NOUN
ejpam-5910	47	19	through	through	ADP
ejpam-5910	47	20	backup	backup	ADJ
ejpam-5910	47	21	switches	switch	NOUN
ejpam-5910	47	22	or	or	CCONJ
ejpam-5910	47	23	utilizing	utilize	VERB
ejpam-5910	47	24	load	load	NOUN
ejpam-5910	47	25	balancers	balancer	NOUN
ejpam-5910	47	26	to	to	PART
ejpam-5910	47	27	distribute	distribute	VERB
ejpam-5910	47	28	requests	request	NOUN
ejpam-5910	47	29	across	across	ADP
ejpam-5910	47	30	available	available	ADJ
ejpam-5910	47	31	servers	server	NOUN
ejpam-5910	47	32	.	.	PUNCT
ejpam-5910	48	1	this	this	DET
ejpam-5910	48	2	approach	approach	NOUN
ejpam-5910	48	3	minimizes	minimize	VERB
ejpam-5910	48	4	the	the	DET
ejpam-5910	48	5	impact	impact	NOUN
ejpam-5910	48	6	of	of	ADP
ejpam-5910	48	7	the	the	DET
ejpam-5910	48	8	breakdown	breakdown	NOUN
ejpam-5910	48	9	while	while	SCONJ
ejpam-5910	48	10	allowing	allow	VERB
ejpam-5910	48	11	the	the	DET
ejpam-5910	48	12	data	datum	NOUN
ejpam-5910	48	13	center	center	NOUN
ejpam-5910	48	14	to	to	PART
ejpam-5910	48	15	continue	continue	VERB
ejpam-5910	48	16	processing	process	VERB
ejpam-5910	48	17	as	as	ADV
ejpam-5910	48	18	many	many	ADJ
ejpam-5910	48	19	requests	request	NOUN
ejpam-5910	48	20	as	as	ADP
ejpam-5910	48	21	possible	possible	ADJ
ejpam-5910	48	22	.	.	PUNCT
ejpam-5910	49	1	if	if	SCONJ
ejpam-5910	49	2	there	there	PRON
ejpam-5910	49	3	are	be	VERB
ejpam-5910	49	4	no	no	DET
ejpam-5910	49	5	requests	request	NOUN
ejpam-5910	49	6	waiting	wait	VERB
ejpam-5910	49	7	in	in	ADP
ejpam-5910	49	8	the	the	DET
ejpam-5910	49	9	bulk	bulk	ADJ
ejpam-5910	49	10	or	or	CCONJ
ejpam-5910	49	11	low	low	ADJ
ejpam-5910	49	12	-	-	PUNCT
ejpam-5910	49	13	batch	batch	NOUN
ejpam-5910	49	14	service	service	NOUN
ejpam-5910	49	15	queues	queue	NOUN
ejpam-5910	49	16	,	,	PUNCT
ejpam-5910	49	17	the	the	DET
ejpam-5910	49	18	data	data	NOUN
ejpam-5910	49	19	center	center	NOUN
ejpam-5910	49	20	may	may	AUX
ejpam-5910	49	21	enter	enter	VERB
ejpam-5910	49	22	a	a	DET
ejpam-5910	49	23	vacation	vacation	NOUN
ejpam-5910	49	24	mode	mode	NOUN
ejpam-5910	49	25	.	.	PUNCT
ejpam-5910	50	1	during	during	ADP
ejpam-5910	50	2	this	this	DET
ejpam-5910	50	3	time	time	NOUN
ejpam-5910	50	4	,	,	PUNCT
ejpam-5910	50	5	it	it	PRON
ejpam-5910	50	6	staff	staff	NOUN
ejpam-5910	50	7	performs	perform	VERB
ejpam-5910	50	8	essential	essential	ADJ
ejpam-5910	50	9	maintenance	maintenance	NOUN
ejpam-5910	50	10	tasks	task	NOUN
ejpam-5910	50	11	,	,	PUNCT
ejpam-5910	50	12	such	such	ADJ
ejpam-5910	50	13	as	as	ADP
ejpam-5910	50	14	updating	update	VERB
ejpam-5910	50	15	software	software	NOUN
ejpam-5910	50	16	,	,	PUNCT
ejpam-5910	50	17	conducting	conduct	VERB
ejpam-5910	50	18	security	security	NOUN
ejpam-5910	50	19	checks	check	NOUN
ejpam-5910	50	20	,	,	PUNCT
ejpam-5910	50	21	or	or	CCONJ
ejpam-5910	50	22	upgrading	upgrade	VERB
ejpam-5910	50	23	hardware	hardware	NOUN
ejpam-5910	50	24	.	.	PUNCT
ejpam-5910	51	1	this	this	DET
ejpam-5910	51	2	proactive	proactive	ADJ
ejpam-5910	51	3	maintenance	maintenance	NOUN
ejpam-5910	51	4	ensures	ensure	VERB
ejpam-5910	51	5	that	that	SCONJ
ejpam-5910	51	6	when	when	SCONJ
ejpam-5910	51	7	traffic	traffic	NOUN
ejpam-5910	51	8	resumes	resume	VERB
ejpam-5910	51	9	,	,	PUNCT
ejpam-5910	51	10	the	the	DET
ejpam-5910	51	11	data	data	NOUN
ejpam-5910	51	12	center	center	NOUN
ejpam-5910	51	13	operates	operate	VERB
ejpam-5910	51	14	efficiently	efficiently	ADV
ejpam-5910	51	15	and	and	CCONJ
ejpam-5910	51	16	securely	securely	ADV
ejpam-5910	51	17	.	.	PUNCT
ejpam-5910	52	1	once	once	SCONJ
ejpam-5910	52	2	the	the	DET
ejpam-5910	52	3	network	network	NOUN
ejpam-5910	52	4	switch	switch	NOUN
ejpam-5910	52	5	has	have	AUX
ejpam-5910	52	6	been	be	AUX
ejpam-5910	52	7	repaired	repair	VERB
ejpam-5910	52	8	and	and	CCONJ
ejpam-5910	52	9	rendered	render	VERB
ejpam-5910	52	10	fully	fully	ADV
ejpam-5910	52	11	operational	operational	ADJ
ejpam-5910	52	12	,	,	PUNCT
ejpam-5910	52	13	the	the	DET
ejpam-5910	52	14	data	data	NOUN
ejpam-5910	52	15	center	center	NOUN
ejpam-5910	52	16	resumes	resume	VERB
ejpam-5910	52	17	normal	normal	ADJ
ejpam-5910	52	18	processing	processing	NOUN
ejpam-5910	52	19	levels	level	NOUN
ejpam-5910	52	20	in	in	ADP
ejpam-5910	52	21	the	the	DET
ejpam-5910	52	22	ensuing	ensue	VERB
ejpam-5910	52	23	session	session	NOUN
ejpam-5910	52	24	.	.	PUNCT
ejpam-5910	53	1	the	the	DET
ejpam-5910	53	2	data	data	PROPN
ejpam-5910	53	3	center	center	PROPN
ejpam-5910	53	4	resumes	resume	VERB
ejpam-5910	53	5	processing	process	VERB
ejpam-5910	53	6	the	the	DET
ejpam-5910	53	7	maximum	maximum	ADJ
ejpam-5910	53	8	number	number	NOUN
ejpam-5910	53	9	of	of	ADP
ejpam-5910	53	10	requests	request	NOUN
ejpam-5910	53	11	every	every	DET
ejpam-5910	53	12	second	second	ADJ
ejpam-5910	53	13	,	,	PUNCT
ejpam-5910	53	14	while	while	SCONJ
ejpam-5910	53	15	the	the	DET
ejpam-5910	53	16	network	network	NOUN
ejpam-5910	53	17	engineers	engineer	NOUN
ejpam-5910	53	18	keep	keep	VERB
ejpam-5910	53	19	close	close	ADJ
ejpam-5910	53	20	watch	watch	NOUN
ejpam-5910	53	21	on	on	ADP
ejpam-5910	53	22	everything	everything	PRON
ejpam-5910	53	23	to	to	PART
ejpam-5910	53	24	make	make	VERB
ejpam-5910	53	25	sure	sure	ADJ
ejpam-5910	53	26	everything	everything	PRON
ejpam-5910	53	27	runs	run	VERB
ejpam-5910	53	28	well	well	ADV
ejpam-5910	53	29	.	.	PUNCT
ejpam-5910	54	1	this	this	DET
ejpam-5910	54	2	example	example	NOUN
ejpam-5910	54	3	demonstrates	demonstrate	VERB
ejpam-5910	54	4	how	how	SCONJ
ejpam-5910	54	5	networking	network	VERB
ejpam-5910	54	6	operations	operation	NOUN
ejpam-5910	54	7	manage	manage	VERB
ejpam-5910	54	8	service	service	NOUN
ejpam-5910	54	9	delivery	delivery	NOUN
ejpam-5910	54	10	,	,	PUNCT
ejpam-5910	54	11	respond	respond	VERB
ejpam-5910	54	12	to	to	ADP
ejpam-5910	54	13	equipment	equipment	NOUN
ejpam-5910	54	14	failures	failure	NOUN
ejpam-5910	54	15	,	,	PUNCT
ejpam-5910	54	16	and	and	CCONJ
ejpam-5910	54	17	ensure	ensure	VERB
ejpam-5910	54	18	continuous	continuous	ADJ
ejpam-5910	54	19	operations	operation	NOUN
ejpam-5910	54	20	while	while	SCONJ
ejpam-5910	54	21	optimizing	optimize	VERB
ejpam-5910	54	22	resource	resource	NOUN
ejpam-5910	54	23	utilization	utilization	NOUN
ejpam-5910	54	24	and	and	CCONJ
ejpam-5910	54	25	maintenance	maintenance	NOUN
ejpam-5910	54	26	schedules	schedule	NOUN
ejpam-5910	54	27	.	.	PUNCT
ejpam-5910	55	1	a	a	DET
ejpam-5910	55	2	queueing	queue	VERB
ejpam-5910	55	3	system	system	NOUN
ejpam-5910	55	4	is	be	AUX
ejpam-5910	55	5	represented	represent	VERB
ejpam-5910	55	6	by	by	ADP
ejpam-5910	55	7	the	the	DET
ejpam-5910	55	8	notation	notation	NOUN
ejpam-5910	55	9	m	m	PROPN
ejpam-5910	56	1	[	[	X
ejpam-5910	56	2	x]/g(a	x]/g(a	PROPN
ejpam-5910	56	3	,	,	PUNCT
ejpam-5910	56	4	b)/1	b)/1	PROPN
ejpam-5910	56	5	after	after	ADP
ejpam-5910	56	6	those	those	DET
ejpam-5910	56	7	two	two	NUM
ejpam-5910	56	8	examples	example	NOUN
ejpam-5910	56	9	featuring	feature	VERB
ejpam-5910	56	10	bulk	bulk	ADJ
ejpam-5910	56	11	service	service	NOUN
ejpam-5910	56	12	,	,	PUNCT
ejpam-5910	56	13	low	low	ADJ
ejpam-5910	56	14	-	-	PUNCT
ejpam-5910	56	15	batch	batch	NOUN
ejpam-5910	56	16	service	service	NOUN
ejpam-5910	56	17	,	,	PUNCT
ejpam-5910	56	18	multiple	multiple	ADJ
ejpam-5910	56	19	vacations	vacation	NOUN
ejpam-5910	56	20	,	,	PUNCT
ejpam-5910	56	21	and	and	CCONJ
ejpam-5910	56	22	uninterruptible	uninterruptible	ADJ
ejpam-5910	56	23	server	server	NOUN
ejpam-5910	56	24	renovation	renovation	NOUN
ejpam-5910	56	25	.	.	PUNCT
ejpam-5910	57	1	2	2	X
ejpam-5910	57	2	.	.	X
ejpam-5910	57	3	literature	literature	NOUN
ejpam-5910	57	4	survey	survey	VERB
ejpam-5910	57	5	several	several	ADJ
ejpam-5910	57	6	authors	author	NOUN
ejpam-5910	57	7	have	have	AUX
ejpam-5910	57	8	examined	examine	VERB
ejpam-5910	57	9	queueing	queue	VERB
ejpam-5910	57	10	systems	system	NOUN
ejpam-5910	57	11	(	(	PUNCT
ejpam-5910	57	12	bulk	bulk	ADJ
ejpam-5910	57	13	services	service	NOUN
ejpam-5910	57	14	)	)	PUNCT
ejpam-5910	57	15	using	use	VERB
ejpam-5910	57	16	various	various	ADJ
ejpam-5910	57	17	types	type	NOUN
ejpam-5910	57	18	of	of	ADP
ejpam-5910	57	19	combinations	combination	NOUN
ejpam-5910	57	20	.	.	PUNCT
ejpam-5910	58	1	many	many	ADJ
ejpam-5910	58	2	authors	author	NOUN
ejpam-5910	58	3	in	in	ADP
ejpam-5910	58	4	the	the	DET
ejpam-5910	58	5	queueing	queue	VERB
ejpam-5910	58	6	literature	literature	NOUN
ejpam-5910	58	7	have	have	AUX
ejpam-5910	58	8	investigated	investigate	VERB
ejpam-5910	58	9	queues	queue	NOUN
ejpam-5910	58	10	with	with	ADP
ejpam-5910	58	11	multiple	multiple	ADJ
ejpam-5910	58	12	vacations	vacation	NOUN
ejpam-5910	58	13	.	.	PUNCT
ejpam-5910	59	1	however	however	ADV
ejpam-5910	59	2	,	,	PUNCT
ejpam-5910	59	3	only	only	ADV
ejpam-5910	59	4	a	a	DET
ejpam-5910	59	5	few	few	ADJ
ejpam-5910	59	6	have	have	AUX
ejpam-5910	59	7	addressed	address	VERB
ejpam-5910	59	8	the	the	DET
ejpam-5910	59	9	required	require	VERB
ejpam-5910	59	10	renovations	renovation	NOUN
ejpam-5910	59	11	or	or	CCONJ
ejpam-5910	59	12	repairs	repair	NOUN
ejpam-5910	59	13	caused	cause	VERB
ejpam-5910	59	14	by	by	ADP
ejpam-5910	59	15	service	service	NOUN
ejpam-5910	59	16	station	station	NOUN
ejpam-5910	59	17	breakdowns	breakdown	NOUN
ejpam-5910	59	18	.	.	PUNCT
ejpam-5910	60	1	doshi	doshi	PROPN
ejpam-5910	61	1	[	[	X
ejpam-5910	61	2	1	1	X
ejpam-5910	61	3	]	]	PUNCT
ejpam-5910	61	4	has	have	AUX
ejpam-5910	61	5	given	give	VERB
ejpam-5910	61	6	the	the	DET
ejpam-5910	61	7	best	good	ADJ
ejpam-5910	61	8	studies	study	NOUN
ejpam-5910	61	9	of	of	ADP
ejpam-5910	61	10	queueing	queue	VERB
ejpam-5910	61	11	systems	system	NOUN
ejpam-5910	61	12	and	and	CCONJ
ejpam-5910	61	13	its	its	PRON
ejpam-5910	61	14	applications	application	NOUN
ejpam-5910	61	15	with	with	ADP
ejpam-5910	61	16	server	server	NOUN
ejpam-5910	61	17	vacations	vacation	NOUN
ejpam-5910	61	18	.	.	PUNCT
ejpam-5910	62	1	bulk	bulk	ADJ
ejpam-5910	62	2	queues	queue	NOUN
ejpam-5910	62	3	with	with	ADP
ejpam-5910	62	4	poisson	poisson	PROPN
ejpam-5910	62	5	input	input	NOUN
ejpam-5910	62	6	were	be	AUX
ejpam-5910	62	7	first	first	ADV
ejpam-5910	62	8	introduced	introduce	VERB
ejpam-5910	62	9	by	by	ADP
ejpam-5910	62	10	neuts	neut	NOUN
ejpam-5910	62	11	[	[	X
ejpam-5910	62	12	2	2	NUM
ejpam-5910	62	13	]	]	PUNCT
ejpam-5910	62	14	.	.	PUNCT
ejpam-5910	63	1	lee	lee	PROPN
ejpam-5910	63	2	et	et	PROPN
ejpam-5910	63	3	al	al	PROPN
ejpam-5910	63	4	.	.	PUNCT
ejpam-5910	64	1	[	[	X
ejpam-5910	64	2	3	3	X
ejpam-5910	64	3	]	]	PUNCT
ejpam-5910	64	4	conducted	conduct	VERB
ejpam-5910	64	5	a	a	DET
ejpam-5910	64	6	detailed	detailed	ADJ
ejpam-5910	64	7	analysis	analysis	NOUN
ejpam-5910	64	8	of	of	ADP
ejpam-5910	64	9	the	the	DET
ejpam-5910	64	10	m	m	NOUN
ejpam-5910	64	11	[	[	X
ejpam-5910	64	12	x]/g/1	x]/g/1	NOUN
ejpam-5910	64	13	queueing	queue	VERB
ejpam-5910	64	14	model	model	NOUN
ejpam-5910	64	15	with	with	ADP
ejpam-5910	64	16	n	n	NOUN
ejpam-5910	64	17	-	-	PUNCT
ejpam-5910	64	18	policy	policy	NOUN
ejpam-5910	64	19	and	and	CCONJ
ejpam-5910	64	20	multiple	multiple	ADJ
ejpam-5910	64	21	vacations	vacation	NOUN
ejpam-5910	64	22	.	.	PUNCT
ejpam-5910	65	1	their	their	PRON
ejpam-5910	65	2	findings	finding	NOUN
ejpam-5910	65	3	offer	offer	VERB
ejpam-5910	65	4	valuable	valuable	ADJ
ejpam-5910	65	5	insights	insight	NOUN
ejpam-5910	65	6	pertinent	pertinent	ADJ
ejpam-5910	65	7	to	to	ADP
ejpam-5910	65	8	this	this	DET
ejpam-5910	65	9	article	article	NOUN
ejpam-5910	65	10	.	.	PUNCT
ejpam-5910	66	1	cox	cox	PROPN
ejpam-5910	67	1	[	[	X
ejpam-5910	67	2	4	4	X
ejpam-5910	67	3	]	]	PUNCT
ejpam-5910	67	4	provided	provide	VERB
ejpam-5910	67	5	a	a	DET
ejpam-5910	67	6	foundational	foundational	ADJ
ejpam-5910	67	7	study	study	NOUN
ejpam-5910	67	8	on	on	ADP
ejpam-5910	67	9	non	non	ADJ
ejpam-5910	67	10	-	-	ADJ
ejpam-5910	67	11	markovian	markovian	ADJ
ejpam-5910	67	12	stochastic	stochastic	NOUN
ejpam-5910	67	13	processes	process	NOUN
ejpam-5910	67	14	by	by	ADP
ejpam-5910	67	15	introducing	introduce	VERB
ejpam-5910	67	16	supplementary	supplementary	ADJ
ejpam-5910	67	17	variables	variable	NOUN
ejpam-5910	67	18	,	,	PUNCT
ejpam-5910	67	19	which	which	PRON
ejpam-5910	67	20	has	have	AUX
ejpam-5910	67	21	influenced	influence	VERB
ejpam-5910	67	22	many	many	ADJ
ejpam-5910	67	23	subsequent	subsequent	ADJ
ejpam-5910	67	24	queueing	queueing	NOUN
ejpam-5910	67	25	models	model	NOUN
ejpam-5910	67	26	.	.	PUNCT
ejpam-5910	68	1	moreover	moreover	ADV
ejpam-5910	68	2	,	,	PUNCT
ejpam-5910	68	3	lee	lee	PROPN
ejpam-5910	69	1	[	[	X
ejpam-5910	69	2	5	5	NUM
ejpam-5910	69	3	]	]	PUNCT
ejpam-5910	69	4	examined	examine	VERB
ejpam-5910	69	5	steady	steady	ADJ
ejpam-5910	69	6	-	-	PUNCT
ejpam-5910	69	7	state	state	NOUN
ejpam-5910	69	8	probabilities	probability	NOUN
ejpam-5910	69	9	for	for	ADP
ejpam-5910	69	10	a	a	DET
ejpam-5910	69	11	server	server	NOUN
ejpam-5910	69	12	vacation	vacation	NOUN
ejpam-5910	69	13	model	model	NOUN
ejpam-5910	69	14	with	with	ADP
ejpam-5910	69	15	group	group	NOUN
ejpam-5910	69	16	arrivals	arrival	NOUN
ejpam-5910	69	17	and	and	CCONJ
ejpam-5910	69	18	a	a	DET
ejpam-5910	69	19	control	control	NOUN
ejpam-5910	69	20	operation	operation	NOUN
ejpam-5910	69	21	policy	policy	NOUN
ejpam-5910	69	22	,	,	PUNCT
ejpam-5910	69	23	offering	offer	VERB
ejpam-5910	69	24	important	important	ADJ
ejpam-5910	69	25	results	result	NOUN
ejpam-5910	69	26	that	that	PRON
ejpam-5910	69	27	complement	complement	VERB
ejpam-5910	69	28	the	the	DET
ejpam-5910	69	29	existing	exist	VERB
ejpam-5910	69	30	body	body	NOUN
ejpam-5910	69	31	of	of	ADP
ejpam-5910	69	32	work	work	NOUN
ejpam-5910	69	33	on	on	ADP
ejpam-5910	69	34	vacation	vacation	NOUN
ejpam-5910	69	35	queues	queue	NOUN
ejpam-5910	69	36	.	.	PUNCT
ejpam-5910	70	1	krishna	krishna	PROPN
ejpam-5910	70	2	reddy	reddy	PROPN
ejpam-5910	70	3	et	et	PROPN
ejpam-5910	70	4	al	al	PROPN
ejpam-5910	70	5	.	.	PUNCT
ejpam-5910	71	1	[	[	X
ejpam-5910	71	2	6	6	NUM
ejpam-5910	71	3	]	]	PUNCT
ejpam-5910	71	4	performed	perform	VERB
ejpam-5910	71	5	an	an	DET
ejpam-5910	71	6	analysis	analysis	NOUN
ejpam-5910	71	7	of	of	ADP
ejpam-5910	71	8	a	a	DET
ejpam-5910	71	9	batch	batch	NOUN
ejpam-5910	71	10	arrival	arrival	NOUN
ejpam-5910	71	11	queueing	queue	VERB
ejpam-5910	71	12	model	model	NOUN
ejpam-5910	71	13	with	with	ADP
ejpam-5910	71	14	n	n	NOUN
ejpam-5910	71	15	-	-	PUNCT
ejpam-5910	71	16	policy	policy	NOUN
ejpam-5910	71	17	,	,	PUNCT
ejpam-5910	71	18	multiple	multiple	ADJ
ejpam-5910	71	19	vacations	vacation	NOUN
ejpam-5910	71	20	,	,	PUNCT
ejpam-5910	71	21	along	along	ADP
ejpam-5910	71	22	with	with	ADP
ejpam-5910	71	23	set	set	NOUN
ejpam-5910	71	24	-	-	PUNCT
ejpam-5910	71	25	up	up	ADP
ejpam-5910	71	26	periods	period	NOUN
ejpam-5910	71	27	.	.	PUNCT
ejpam-5910	72	1	this	this	DET
ejpam-5910	72	2	analysis	analysis	NOUN
ejpam-5910	72	3	contributes	contribute	VERB
ejpam-5910	72	4	to	to	ADP
ejpam-5910	72	5	a	a	DET
ejpam-5910	72	6	better	well	ADJ
ejpam-5910	72	7	understanding	understanding	NOUN
ejpam-5910	72	8	of	of	ADP
ejpam-5910	72	9	queue	queue	NOUN
ejpam-5910	72	10	management	management	NOUN
ejpam-5910	72	11	strategies	strategy	NOUN
ejpam-5910	72	12	.	.	PUNCT
ejpam-5910	73	1	arumuganathan	arumuganathan	ADV
ejpam-5910	73	2	and	and	CCONJ
ejpam-5910	73	3	jeyakumar	jeyakumar	PROPN
ejpam-5910	73	4	[	[	X
ejpam-5910	73	5	7	7	NUM
ejpam-5910	73	6	]	]	PUNCT
ejpam-5910	73	7	performed	perform	VERB
ejpam-5910	73	8	a	a	DET
ejpam-5910	73	9	steady	steady	ADJ
ejpam-5910	73	10	-	-	PUNCT
ejpam-5910	73	11	state	state	NOUN
ejpam-5910	73	12	assessment	assessment	NOUN
ejpam-5910	73	13	of	of	ADP
ejpam-5910	73	14	a	a	DET
ejpam-5910	73	15	batch	batch	NOUN
ejpam-5910	73	16	queueing	queue	VERB
ejpam-5910	73	17	system	system	NOUN
ejpam-5910	73	18	including	include	VERB
ejpam-5910	73	19	n	n	CCONJ
ejpam-5910	73	20	-	-	PUNCT
ejpam-5910	73	21	policy	policy	NOUN
ejpam-5910	73	22	,	,	PUNCT
ejpam-5910	73	23	extended	extended	ADJ
ejpam-5910	73	24	vacations	vacation	NOUN
ejpam-5910	73	25	,	,	PUNCT
ejpam-5910	73	26	preparation	preparation	NOUN
ejpam-5910	73	27	times	time	NOUN
ejpam-5910	73	28	and	and	CCONJ
ejpam-5910	73	29	shutdown	shutdown	ADJ
ejpam-5910	73	30	phases	phase	NOUN
ejpam-5910	73	31	.	.	PUNCT
ejpam-5910	74	1	jeyakumar	jeyakumar	PROPN
ejpam-5910	74	2	and	and	CCONJ
ejpam-5910	74	3	senthilnathan	senthilnathan	ADJ
ejpam-5910	74	4	[	[	X
ejpam-5910	74	5	8	8	NUM
ejpam-5910	74	6	]	]	PUNCT
ejpam-5910	74	7	analyzed	analyze	VERB
ejpam-5910	74	8	the	the	DET
ejpam-5910	74	9	behavior	behavior	NOUN
ejpam-5910	74	10	of	of	ADP
ejpam-5910	74	11	the	the	DET
ejpam-5910	74	12	m	m	PROPN
ejpam-5910	74	13	[	[	X
ejpam-5910	74	14	x]/g(a	x]/g(a	PROPN
ejpam-5910	74	15	,	,	PUNCT
ejpam-5910	74	16	b)/1	b)/1	PROPN
ejpam-5910	74	17	queueing	queue	VERB
ejpam-5910	74	18	model	model	NOUN
ejpam-5910	74	19	,	,	PUNCT
ejpam-5910	74	20	focusing	focus	VERB
ejpam-5910	74	21	on	on	ADP
ejpam-5910	74	22	uninterrupted	uninterrupted	ADJ
ejpam-5910	74	23	server	server	NOUN
ejpam-5910	74	24	failures	failure	NOUN
ejpam-5910	74	25	,	,	PUNCT
ejpam-5910	74	26	along	along	ADP
ejpam-5910	74	27	with	with	ADP
ejpam-5910	74	28	extended	extended	ADJ
ejpam-5910	74	29	vacations	vacation	NOUN
ejpam-5910	74	30	and	and	CCONJ
ejpam-5910	74	31	downtime	downtime	NOUN
ejpam-5910	74	32	.	.	PUNCT
ejpam-5910	75	1	ramaswami	ramaswami	NOUN
ejpam-5910	75	2	and	and	CCONJ
ejpam-5910	75	3	jeyakumar	jeyakumar	PROPN
ejpam-5910	75	4	[	[	X
ejpam-5910	75	5	9	9	NUM
ejpam-5910	75	6	]	]	PUNCT
ejpam-5910	75	7	employed	employ	VERB
ejpam-5910	75	8	a	a	DET
ejpam-5910	75	9	simulation	simulation	NOUN
ejpam-5910	75	10	-	-	PUNCT
ejpam-5910	75	11	based	base	VERB
ejpam-5910	75	12	approach	approach	NOUN
ejpam-5910	75	13	to	to	PART
ejpam-5910	75	14	analyze	analyze	VERB
ejpam-5910	75	15	a	a	DET
ejpam-5910	75	16	non	non	ADJ
ejpam-5910	75	17	-	-	ADJ
ejpam-5910	75	18	markovian	markovian	ADJ
ejpam-5910	75	19	bulk	bulk	ADJ
ejpam-5910	75	20	service	service	NOUN
ejpam-5910	75	21	queueing	queue	VERB
ejpam-5910	75	22	system	system	NOUN
ejpam-5910	75	23	where	where	SCONJ
ejpam-5910	75	24	the	the	DET
ejpam-5910	75	25	arrival	arrival	NOUN
ejpam-5910	75	26	process	process	NOUN
ejpam-5910	75	27	is	be	AUX
ejpam-5910	75	28	state	state	NOUN
ejpam-5910	75	29	-	-	PUNCT
ejpam-5910	75	30	dependent	dependent	ADJ
ejpam-5910	75	31	,	,	PUNCT
ejpam-5910	75	32	karpagam	karpagam	PROPN
ejpam-5910	75	33	s	s	PROPN
ejpam-5910	75	34	,	,	PUNCT
ejpam-5910	75	35	aarthy	aarthy	ADJ
ejpam-5910	75	36	n	n	CCONJ
ejpam-5910	75	37	,	,	PUNCT
ejpam-5910	76	1	g.	g.	PROPN
ejpam-5910	76	2	k.	k.	PROPN
ejpam-5910	76	3	gupta	gupta	PROPN
ejpam-5910	76	4	/	/	SYM
ejpam-5910	76	5	eur	eur	PROPN
ejpam-5910	76	6	.	.	PUNCT
ejpam-5910	77	1	j.	j.	PROPN
ejpam-5910	77	2	pure	pure	PROPN
ejpam-5910	77	3	appl	appl	PROPN
ejpam-5910	77	4	.	.	PROPN
ejpam-5910	77	5	math	math	PROPN
ejpam-5910	77	6	,	,	PUNCT
ejpam-5910	77	7	18	18	NUM
ejpam-5910	77	8	(	(	PUNCT
ejpam-5910	77	9	3	3	NUM
ejpam-5910	77	10	)	)	PUNCT
ejpam-5910	77	11	(	(	PUNCT
ejpam-5910	77	12	2025	2025	NUM
ejpam-5910	77	13	)	)	PUNCT
ejpam-5910	77	14	,	,	PUNCT
ejpam-5910	77	15	5910	5910	NUM
ejpam-5910	77	16	4	4	NUM
ejpam-5910	77	17	of	of	ADP
ejpam-5910	77	18	28	28	NUM
ejpam-5910	77	19	and	and	CCONJ
ejpam-5910	77	20	the	the	DET
ejpam-5910	77	21	server	server	NOUN
ejpam-5910	77	22	may	may	AUX
ejpam-5910	77	23	take	take	VERB
ejpam-5910	77	24	multiple	multiple	ADJ
ejpam-5910	77	25	vacations	vacation	NOUN
ejpam-5910	77	26	.	.	PUNCT
ejpam-5910	78	1	haridass	haridass	NOUN
ejpam-5910	78	2	and	and	CCONJ
ejpam-5910	78	3	arumuganathan	arumuganathan	ADV
ejpam-5910	78	4	[	[	X
ejpam-5910	78	5	10	10	NUM
ejpam-5910	78	6	]	]	PUNCT
ejpam-5910	78	7	conducted	conduct	VERB
ejpam-5910	78	8	an	an	DET
ejpam-5910	78	9	examination	examination	NOUN
ejpam-5910	78	10	of	of	ADP
ejpam-5910	78	11	a	a	DET
ejpam-5910	78	12	single	single	ADJ
ejpam-5910	78	13	-	-	PUNCT
ejpam-5910	78	14	server	server	NOUN
ejpam-5910	78	15	batch	batch	NOUN
ejpam-5910	78	16	arrival	arrival	NOUN
ejpam-5910	78	17	retrial	retrial	NOUN
ejpam-5910	78	18	queueing	queue	VERB
ejpam-5910	78	19	model	model	NOUN
ejpam-5910	78	20	featuring	feature	VERB
ejpam-5910	78	21	adjusted	adjust	VERB
ejpam-5910	78	22	vacation	vacation	NOUN
ejpam-5910	78	23	periods	period	NOUN
ejpam-5910	78	24	and	and	CCONJ
ejpam-5910	78	25	n	n	CCONJ
ejpam-5910	78	26	-	-	PUNCT
ejpam-5910	78	27	policy	policy	NOUN
ejpam-5910	78	28	.	.	PUNCT
ejpam-5910	79	1	ayyappan	ayyappan	NOUN
ejpam-5910	79	2	and	and	CCONJ
ejpam-5910	79	3	karpagam	karpagam	X
ejpam-5910	80	1	[	[	X
ejpam-5910	80	2	11	11	NUM
ejpam-5910	80	3	]	]	PUNCT
ejpam-5910	80	4	examined	examine	VERB
ejpam-5910	80	5	a	a	DET
ejpam-5910	80	6	bulk	bulk	ADJ
ejpam-5910	80	7	service	service	NOUN
ejpam-5910	80	8	queueing	queue	VERB
ejpam-5910	80	9	system	system	NOUN
ejpam-5910	80	10	that	that	PRON
ejpam-5910	80	11	encompasses	encompass	VERB
ejpam-5910	80	12	a	a	DET
ejpam-5910	80	13	standby	standby	ADJ
ejpam-5910	80	14	server	server	NOUN
ejpam-5910	80	15	,	,	PUNCT
ejpam-5910	80	16	multiple	multiple	ADJ
ejpam-5910	80	17	vacations	vacation	NOUN
ejpam-5910	80	18	,	,	PUNCT
ejpam-5910	80	19	and	and	CCONJ
ejpam-5910	80	20	a	a	DET
ejpam-5910	80	21	policy	policy	NOUN
ejpam-5910	80	22	for	for	ADP
ejpam-5910	80	23	managing	manage	VERB
ejpam-5910	80	24	re	re	NOUN
ejpam-5910	80	25	-	-	NOUN
ejpam-5910	80	26	service	service	NOUN
ejpam-5910	80	27	requests	request	NOUN
ejpam-5910	80	28	and	and	CCONJ
ejpam-5910	80	29	server	server	NOUN
ejpam-5910	80	30	breakdown	breakdown	NOUN
ejpam-5910	80	31	and	and	CCONJ
ejpam-5910	80	32	repair	repair	NOUN
ejpam-5910	80	33	.	.	PUNCT
ejpam-5910	81	1	ayyappan	ayyappan	NOUN
ejpam-5910	81	2	and	and	CCONJ
ejpam-5910	81	3	nirmala	nirmala	PROPN
ejpam-5910	82	1	[	[	X
ejpam-5910	82	2	12	12	NUM
ejpam-5910	82	3	]	]	PUNCT
ejpam-5910	82	4	modeled	model	VERB
ejpam-5910	82	5	the	the	DET
ejpam-5910	82	6	m	m	NOUN
ejpam-5910	82	7	[	[	X
ejpam-5910	82	8	x]/g(a	x]/g(a	PROPN
ejpam-5910	82	9	,	,	PUNCT
ejpam-5910	82	10	b)/1	b)/1	PROPN
ejpam-5910	82	11	queueing	queue	VERB
ejpam-5910	82	12	model	model	NOUN
ejpam-5910	82	13	,	,	PUNCT
ejpam-5910	82	14	incorporating	incorporate	VERB
ejpam-5910	82	15	breakdowns	breakdown	NOUN
ejpam-5910	82	16	along	along	ADP
ejpam-5910	82	17	with	with	ADP
ejpam-5910	82	18	a	a	DET
ejpam-5910	82	19	two	two	NUM
ejpam-5910	82	20	-	-	PUNCT
ejpam-5910	82	21	stage	stage	NOUN
ejpam-5910	82	22	repair	repair	NOUN
ejpam-5910	82	23	mechanism	mechanism	NOUN
ejpam-5910	82	24	involving	involve	VERB
ejpam-5910	82	25	delay	delay	NOUN
ejpam-5910	82	26	periods	period	NOUN
ejpam-5910	82	27	,	,	PUNCT
ejpam-5910	82	28	and	and	CCONJ
ejpam-5910	82	29	multiple	multiple	ADJ
ejpam-5910	82	30	vacations	vacation	NOUN
ejpam-5910	82	31	.	.	PUNCT
ejpam-5910	83	1	their	their	PRON
ejpam-5910	83	2	work	work	NOUN
ejpam-5910	83	3	enhances	enhance	VERB
ejpam-5910	83	4	the	the	DET
ejpam-5910	83	5	understanding	understanding	NOUN
ejpam-5910	83	6	of	of	ADP
ejpam-5910	83	7	queue	queue	NOUN
ejpam-5910	83	8	dynamics	dynamic	NOUN
ejpam-5910	83	9	under	under	ADP
ejpam-5910	83	10	repair	repair	NOUN
ejpam-5910	83	11	and	and	CCONJ
ejpam-5910	83	12	vacation	vacation	NOUN
ejpam-5910	83	13	conditions	condition	NOUN
ejpam-5910	83	14	.	.	PUNCT
ejpam-5910	84	1	niranjan	niranjan	PROPN
ejpam-5910	84	2	et	et	PROPN
ejpam-5910	84	3	al	al	PROPN
ejpam-5910	84	4	.	.	PUNCT
ejpam-5910	85	1	[	[	X
ejpam-5910	85	2	13	13	NUM
ejpam-5910	85	3	]	]	PUNCT
ejpam-5910	85	4	studied	study	VERB
ejpam-5910	85	5	a	a	DET
ejpam-5910	85	6	batch	batch	NOUN
ejpam-5910	85	7	arrival	arrival	NOUN
ejpam-5910	85	8	queueing	queue	VERB
ejpam-5910	85	9	model	model	NOUN
ejpam-5910	85	10	with	with	ADP
ejpam-5910	85	11	vacation	vacation	NOUN
ejpam-5910	85	12	break	break	NOUN
ejpam-5910	85	13	-	-	PUNCT
ejpam-5910	85	14	off	off	NOUN
ejpam-5910	85	15	that	that	PRON
ejpam-5910	85	16	had	have	VERB
ejpam-5910	85	17	a	a	DET
ejpam-5910	85	18	phase	phase	NOUN
ejpam-5910	85	19	-	-	PUNCT
ejpam-5910	85	20	dependent	dependent	ADJ
ejpam-5910	85	21	breakdown	breakdown	NOUN
ejpam-5910	85	22	.	.	PUNCT
ejpam-5910	86	1	they	they	PRON
ejpam-5910	86	2	created	create	VERB
ejpam-5910	86	3	a	a	DET
ejpam-5910	86	4	two	two	NUM
ejpam-5910	86	5	-	-	PUNCT
ejpam-5910	86	6	phase	phase	NOUN
ejpam-5910	86	7	service	service	NOUN
ejpam-5910	86	8	method	method	NOUN
ejpam-5910	86	9	,	,	PUNCT
ejpam-5910	86	10	known	know	VERB
ejpam-5910	86	11	as	as	ADP
ejpam-5910	86	12	the	the	DET
ejpam-5910	86	13	first	first	ADJ
ejpam-5910	86	14	and	and	CCONJ
ejpam-5910	86	15	second	second	ADJ
ejpam-5910	86	16	vital	vital	ADJ
ejpam-5910	86	17	services	service	NOUN
ejpam-5910	86	18	for	for	ADP
ejpam-5910	86	19	the	the	DET
ejpam-5910	86	20	number	number	NOUN
ejpam-5910	86	21	of	of	ADP
ejpam-5910	86	22	breakdowns	breakdown	NOUN
ejpam-5910	86	23	varies	vary	VERB
ejpam-5910	86	24	between	between	ADP
ejpam-5910	86	25	the	the	DET
ejpam-5910	86	26	first	first	ADJ
ejpam-5910	86	27	and	and	CCONJ
ejpam-5910	86	28	second	second	ADJ
ejpam-5910	86	29	critical	critical	ADJ
ejpam-5910	86	30	service	service	NOUN
ejpam-5910	86	31	periods	period	NOUN
ejpam-5910	86	32	.	.	PUNCT
ejpam-5910	87	1	in	in	ADP
ejpam-5910	87	2	a	a	DET
ejpam-5910	87	3	related	related	ADJ
ejpam-5910	87	4	study	study	NOUN
ejpam-5910	87	5	,	,	PUNCT
ejpam-5910	87	6	karthick	karthick	ADJ
ejpam-5910	87	7	and	and	CCONJ
ejpam-5910	87	8	suvitha	suvitha	PRON
ejpam-5910	88	1	[	[	X
ejpam-5910	88	2	14	14	NUM
ejpam-5910	88	3	]	]	PUNCT
ejpam-5910	88	4	analyzed	analyze	VERB
ejpam-5910	88	5	a	a	DET
ejpam-5910	88	6	heterogeneous	heterogeneous	ADJ
ejpam-5910	88	7	two	two	NUM
ejpam-5910	88	8	-	-	PUNCT
ejpam-5910	88	9	server	server	NOUN
ejpam-5910	88	10	queueing	queue	VERB
ejpam-5910	88	11	system	system	NOUN
ejpam-5910	88	12	featuring	feature	VERB
ejpam-5910	88	13	multiple	multiple	ADJ
ejpam-5910	88	14	working	work	VERB
ejpam-5910	88	15	vacations	vacation	NOUN
ejpam-5910	88	16	and	and	CCONJ
ejpam-5910	88	17	server	server	NOUN
ejpam-5910	88	18	breakdowns	breakdown	NOUN
ejpam-5910	88	19	,	,	PUNCT
ejpam-5910	88	20	offering	offer	VERB
ejpam-5910	88	21	valuable	valuable	ADJ
ejpam-5910	88	22	performance	performance	NOUN
ejpam-5910	88	23	measures	measure	NOUN
ejpam-5910	88	24	.	.	PUNCT
ejpam-5910	89	1	furthermore	furthermore	ADV
ejpam-5910	89	2	,	,	PUNCT
ejpam-5910	89	3	karthick	karthick	ADJ
ejpam-5910	89	4	and	and	CCONJ
ejpam-5910	89	5	suvitha	suvitha	PRON
ejpam-5910	90	1	[	[	X
ejpam-5910	90	2	15	15	NUM
ejpam-5910	90	3	]	]	PUNCT
ejpam-5910	90	4	investigated	investigate	VERB
ejpam-5910	90	5	the	the	DET
ejpam-5910	90	6	time	time	NOUN
ejpam-5910	90	7	-	-	PUNCT
ejpam-5910	90	8	dependent	dependent	ADJ
ejpam-5910	90	9	behavior	behavior	NOUN
ejpam-5910	90	10	of	of	ADP
ejpam-5910	90	11	an	an	DET
ejpam-5910	90	12	m	m	PROPN
ejpam-5910	90	13	/	/	SYM
ejpam-5910	90	14	m/3	m/3	NUM
ejpam-5910	90	15	heterogeneous	heterogeneous	ADJ
ejpam-5910	90	16	server	server	NOUN
ejpam-5910	90	17	queueing	queue	VERB
ejpam-5910	90	18	system	system	NOUN
ejpam-5910	90	19	subject	subject	ADJ
ejpam-5910	90	20	to	to	ADP
ejpam-5910	90	21	system	system	NOUN
ejpam-5910	90	22	disasters	disaster	NOUN
ejpam-5910	90	23	and	and	CCONJ
ejpam-5910	90	24	multiple	multiple	ADJ
ejpam-5910	90	25	vacation	vacation	NOUN
ejpam-5910	90	26	policies	policy	NOUN
ejpam-5910	90	27	,	,	PUNCT
ejpam-5910	90	28	extending	extend	VERB
ejpam-5910	90	29	and	and	CCONJ
ejpam-5910	90	30	understanding	understanding	NOUN
ejpam-5910	90	31	of	of	ADP
ejpam-5910	90	32	transient	transient	ADJ
ejpam-5910	90	33	characteristics	characteristic	NOUN
ejpam-5910	90	34	in	in	ADP
ejpam-5910	90	35	complex	complex	ADJ
ejpam-5910	90	36	service	service	NOUN
ejpam-5910	90	37	environments	environment	NOUN
ejpam-5910	90	38	.	.	PUNCT
ejpam-5910	91	1	chakravarthy	chakravarthy	ADJ
ejpam-5910	91	2	and	and	CCONJ
ejpam-5910	91	3	kulshrestha	kulshrestha	ADJ
ejpam-5910	91	4	[	[	X
ejpam-5910	91	5	16	16	NUM
ejpam-5910	91	6	]	]	PUNCT
ejpam-5910	91	7	examined	examine	VERB
ejpam-5910	91	8	a	a	DET
ejpam-5910	91	9	queueing	queueing	NOUN
ejpam-5910	91	10	model	model	NOUN
ejpam-5910	91	11	including	include	VERB
ejpam-5910	91	12	server	server	NOUN
ejpam-5910	91	13	breakdowns	breakdown	NOUN
ejpam-5910	91	14	,	,	PUNCT
ejpam-5910	91	15	repair	repair	NOUN
ejpam-5910	91	16	processes	process	NOUN
ejpam-5910	91	17	,	,	PUNCT
ejpam-5910	91	18	vacation	vacation	NOUN
ejpam-5910	91	19	periods	period	NOUN
ejpam-5910	91	20	and	and	CCONJ
ejpam-5910	91	21	the	the	DET
ejpam-5910	91	22	use	use	NOUN
ejpam-5910	91	23	of	of	ADP
ejpam-5910	91	24	a	a	DET
ejpam-5910	91	25	backup	backup	ADJ
ejpam-5910	91	26	server	server	NOUN
ejpam-5910	91	27	.	.	PUNCT
ejpam-5910	92	1	an	an	DET
ejpam-5910	92	2	analytical	analytical	ADJ
ejpam-5910	92	3	simulation	simulation	NOUN
ejpam-5910	92	4	of	of	ADP
ejpam-5910	92	5	the	the	DET
ejpam-5910	92	6	batch	batch	NOUN
ejpam-5910	92	7	queueing	queue	VERB
ejpam-5910	92	8	model	model	NOUN
ejpam-5910	92	9	was	be	AUX
ejpam-5910	92	10	conducted	conduct	VERB
ejpam-5910	92	11	by	by	ADP
ejpam-5910	92	12	nithya	nithya	PROPN
ejpam-5910	92	13	and	and	CCONJ
ejpam-5910	92	14	haridass	haridass	NOUN
ejpam-5910	92	15	[	[	X
ejpam-5910	92	16	17	17	NUM
ejpam-5910	92	17	]	]	PUNCT
ejpam-5910	92	18	.	.	PUNCT
ejpam-5910	93	1	this	this	DET
ejpam-5910	93	2	study	study	NOUN
ejpam-5910	93	3	includes	include	VERB
ejpam-5910	93	4	an	an	DET
ejpam-5910	93	5	investigation	investigation	NOUN
ejpam-5910	93	6	of	of	ADP
ejpam-5910	93	7	performance	performance	NOUN
ejpam-5910	93	8	metrics	metric	NOUN
ejpam-5910	93	9	and	and	CCONJ
ejpam-5910	93	10	simulation	simulation	NOUN
ejpam-5910	93	11	modeling	modeling	NOUN
ejpam-5910	93	12	for	for	ADP
ejpam-5910	93	13	a	a	DET
ejpam-5910	93	14	bulk	bulk	ADJ
ejpam-5910	93	15	service	service	NOUN
ejpam-5910	93	16	queueing	queue	VERB
ejpam-5910	93	17	model	model	NOUN
ejpam-5910	93	18	applied	apply	VERB
ejpam-5910	93	19	in	in	ADP
ejpam-5910	93	20	the	the	DET
ejpam-5910	93	21	textile	textile	NOUN
ejpam-5910	93	22	sector	sector	NOUN
ejpam-5910	93	23	.	.	PUNCT
ejpam-5910	94	1	an	an	DET
ejpam-5910	94	2	analysis	analysis	NOUN
ejpam-5910	94	3	of	of	ADP
ejpam-5910	94	4	both	both	CCONJ
ejpam-5910	94	5	transient	transient	ADJ
ejpam-5910	94	6	and	and	CCONJ
ejpam-5910	94	7	steadystate	steadystate	VERB
ejpam-5910	94	8	behaviors	behavior	NOUN
ejpam-5910	94	9	of	of	ADP
ejpam-5910	94	10	the	the	DET
ejpam-5910	94	11	m	m	PROPN
ejpam-5910	94	12	/	/	SYM
ejpam-5910	94	13	m	m	VERB
ejpam-5910	94	14	(	(	PUNCT
ejpam-5910	94	15	[	[	X
ejpam-5910	94	16	b])/1	b])/1	NOUN
ejpam-5910	94	17	queueing	queue	VERB
ejpam-5910	94	18	model	model	NOUN
ejpam-5910	94	19	with	with	ADP
ejpam-5910	94	20	an	an	DET
ejpam-5910	94	21	additional	additional	ADJ
ejpam-5910	94	22	discretionary	discretionary	ADJ
ejpam-5910	94	23	service	service	NOUN
ejpam-5910	94	24	was	be	AUX
ejpam-5910	94	25	carried	carry	VERB
ejpam-5910	94	26	out	out	ADP
ejpam-5910	94	27	by	by	ADP
ejpam-5910	94	28	laxmi	laxmi	NOUN
ejpam-5910	94	29	and	and	CCONJ
ejpam-5910	94	30	george	george	PROPN
ejpam-5910	94	31	[	[	X
ejpam-5910	94	32	18	18	NUM
ejpam-5910	94	33	]	]	PUNCT
ejpam-5910	94	34	.	.	PUNCT
ejpam-5910	95	1	their	their	PRON
ejpam-5910	95	2	research	research	NOUN
ejpam-5910	95	3	provides	provide	VERB
ejpam-5910	95	4	insight	insight	NOUN
ejpam-5910	95	5	on	on	ADP
ejpam-5910	95	6	how	how	SCONJ
ejpam-5910	95	7	the	the	DET
ejpam-5910	95	8	system	system	NOUN
ejpam-5910	95	9	behaves	behave	VERB
ejpam-5910	95	10	in	in	ADP
ejpam-5910	95	11	various	various	ADJ
ejpam-5910	95	12	scenarios	scenario	NOUN
ejpam-5910	95	13	.	.	PUNCT
ejpam-5910	96	1	jain	jain	PROPN
ejpam-5910	96	2	et	et	PROPN
ejpam-5910	96	3	al	al	PROPN
ejpam-5910	96	4	.	.	PUNCT
ejpam-5910	97	1	[	[	X
ejpam-5910	97	2	19	19	NUM
ejpam-5910	97	3	]	]	PUNCT
ejpam-5910	97	4	explored	explore	VERB
ejpam-5910	97	5	the	the	DET
ejpam-5910	97	6	application	application	NOUN
ejpam-5910	97	7	of	of	ADP
ejpam-5910	97	8	the	the	DET
ejpam-5910	97	9	auxiliary	auxiliary	ADJ
ejpam-5910	97	10	variable	variable	ADJ
ejpam-5910	97	11	approach	approach	NOUN
ejpam-5910	97	12	to	to	PART
ejpam-5910	97	13	analyze	analyze	VERB
ejpam-5910	97	14	a	a	DET
ejpam-5910	97	15	non	non	ADJ
ejpam-5910	97	16	-	-	ADJ
ejpam-5910	97	17	memoryless	memoryless	ADJ
ejpam-5910	97	18	single	single	ADJ
ejpam-5910	97	19	-	-	PUNCT
ejpam-5910	97	20	server	server	NOUN
ejpam-5910	97	21	queueing	queue	VERB
ejpam-5910	97	22	system	system	NOUN
ejpam-5910	97	23	experiencing	experience	VERB
ejpam-5910	97	24	service	service	NOUN
ejpam-5910	97	25	disruptions	disruption	NOUN
ejpam-5910	97	26	(	(	PUNCT
ejpam-5910	97	27	qsi	qsi	PROPN
ejpam-5910	97	28	)	)	PUNCT
ejpam-5910	97	29	.	.	PUNCT
ejpam-5910	98	1	begum	begum	PROPN
ejpam-5910	98	2	and	and	CCONJ
ejpam-5910	98	3	choudhury	choudhury	PROPN
ejpam-5910	99	1	[	[	X
ejpam-5910	99	2	20	20	NUM
ejpam-5910	99	3	]	]	PUNCT
ejpam-5910	99	4	analyzed	analyze	VERB
ejpam-5910	99	5	a	a	DET
ejpam-5910	99	6	batch	batch	NOUN
ejpam-5910	99	7	arrival	arrival	NOUN
ejpam-5910	99	8	n	n	CCONJ
ejpam-5910	99	9	-	-	PUNCT
ejpam-5910	99	10	policy	policy	NOUN
ejpam-5910	99	11	queueing	queueing	NOUN
ejpam-5910	99	12	system	system	NOUN
ejpam-5910	99	13	featuring	feature	VERB
ejpam-5910	99	14	dual	dual	ADJ
ejpam-5910	99	15	service	service	NOUN
ejpam-5910	99	16	mechanisms	mechanism	NOUN
ejpam-5910	99	17	,	,	PUNCT
ejpam-5910	99	18	including	include	VERB
ejpam-5910	99	19	breakdowns	breakdown	NOUN
ejpam-5910	99	20	,	,	PUNCT
ejpam-5910	99	21	delayed	delay	VERB
ejpam-5910	99	22	repairs	repair	NOUN
ejpam-5910	99	23	and	and	CCONJ
ejpam-5910	99	24	bernoulli	bernoulli	NOUN
ejpam-5910	99	25	vacations	vacation	NOUN
ejpam-5910	99	26	with	with	ADP
ejpam-5910	99	27	a	a	DET
ejpam-5910	99	28	repeated	repeat	VERB
ejpam-5910	99	29	service	service	NOUN
ejpam-5910	99	30	policy	policy	NOUN
ejpam-5910	99	31	.	.	PUNCT
ejpam-5910	100	1	dudin	dudin	VERB
ejpam-5910	100	2	et	et	PROPN
ejpam-5910	100	3	al	al	PROPN
ejpam-5910	100	4	.	.	PUNCT
ejpam-5910	101	1	[	[	X
ejpam-5910	101	2	21	21	NUM
ejpam-5910	101	3	]	]	PUNCT
ejpam-5910	101	4	investigated	investigate	VERB
ejpam-5910	101	5	single	single	ADJ
ejpam-5910	101	6	customer	customer	NOUN
ejpam-5910	101	7	abandonment	abandonment	NOUN
ejpam-5910	101	8	and	and	CCONJ
ejpam-5910	101	9	server	server	NOUN
ejpam-5910	101	10	breakdowns	breakdown	NOUN
ejpam-5910	101	11	in	in	ADP
ejpam-5910	101	12	queueing	queue	VERB
ejpam-5910	101	13	systems	system	NOUN
ejpam-5910	101	14	,	,	PUNCT
ejpam-5910	101	15	focusing	focus	VERB
ejpam-5910	101	16	on	on	ADP
ejpam-5910	101	17	how	how	SCONJ
ejpam-5910	101	18	customers	customer	NOUN
ejpam-5910	101	19	make	make	VERB
ejpam-5910	101	20	probabilistic	probabilistic	ADJ
ejpam-5910	101	21	decisions	decision	NOUN
ejpam-5910	101	22	to	to	PART
ejpam-5910	101	23	stay	stay	VERB
ejpam-5910	101	24	or	or	CCONJ
ejpam-5910	101	25	leave	leave	VERB
ejpam-5910	101	26	during	during	ADP
ejpam-5910	101	27	a	a	DET
ejpam-5910	101	28	breakdown	breakdown	NOUN
ejpam-5910	101	29	.	.	PUNCT
ejpam-5910	102	1	the	the	DET
ejpam-5910	102	2	threshold	threshold	NOUN
ejpam-5910	102	3	-	-	PUNCT
ejpam-5910	102	4	based	base	VERB
ejpam-5910	102	5	repair	repair	NOUN
ejpam-5910	102	6	system	system	NOUN
ejpam-5910	102	7	with	with	ADP
ejpam-5910	102	8	threshold	threshold	NOUN
ejpam-5910	102	9	recovery	recovery	NOUN
ejpam-5910	102	10	strategy	strategy	NOUN
ejpam-5910	102	11	,	,	PUNCT
ejpam-5910	102	12	intermittent	intermittent	ADJ
ejpam-5910	102	13	servers	server	NOUN
ejpam-5910	102	14	and	and	CCONJ
ejpam-5910	102	15	staged	stage	VERB
ejpam-5910	102	16	repairs	repair	NOUN
ejpam-5910	102	17	was	be	AUX
ejpam-5910	102	18	examined	examine	VERB
ejpam-5910	102	19	by	by	ADP
ejpam-5910	102	20	kumar	kumar	PROPN
ejpam-5910	102	21	et	et	PROPN
ejpam-5910	102	22	al	al	PROPN
ejpam-5910	102	23	.	.	PUNCT
ejpam-5910	103	1	[	[	X
ejpam-5910	103	2	22].the	22].the	DET
ejpam-5910	103	3	optimal	optimal	ADJ
ejpam-5910	103	4	management	management	NOUN
ejpam-5910	103	5	of	of	ADP
ejpam-5910	103	6	a	a	DET
ejpam-5910	103	7	two	two	NUM
ejpam-5910	103	8	-	-	PUNCT
ejpam-5910	103	9	phase	phase	NOUN
ejpam-5910	103	10	heterogeneous	heterogeneous	ADJ
ejpam-5910	103	11	service	service	NOUN
ejpam-5910	103	12	retrial	retrial	NOUN
ejpam-5910	103	13	queueing	queue	VERB
ejpam-5910	103	14	model	model	NOUN
ejpam-5910	103	15	characterized	characterize	VERB
ejpam-5910	103	16	by	by	ADP
ejpam-5910	103	17	collisions	collision	NOUN
ejpam-5910	103	18	and	and	CCONJ
ejpam-5910	103	19	postponed	postpone	VERB
ejpam-5910	103	20	vacations	vacation	NOUN
ejpam-5910	103	21	was	be	AUX
ejpam-5910	103	22	studied	study	VERB
ejpam-5910	103	23	by	by	ADP
ejpam-5910	103	24	xu	xu	PROPN
ejpam-5910	103	25	et	et	PROPN
ejpam-5910	103	26	al	al	PROPN
ejpam-5910	103	27	.	.	PUNCT
ejpam-5910	104	1	[	[	X
ejpam-5910	104	2	23	23	NUM
ejpam-5910	104	3	]	]	PUNCT
ejpam-5910	104	4	.	.	PUNCT
ejpam-5910	105	1	he	he	PRON
ejpam-5910	105	2	and	and	CCONJ
ejpam-5910	105	3	tang	tang	VERB
ejpam-5910	105	4	et	et	PROPN
ejpam-5910	105	5	al	al	PROPN
ejpam-5910	105	6	.	.	PUNCT
ejpam-5910	106	1	[	[	X
ejpam-5910	106	2	24	24	NUM
ejpam-5910	106	3	]	]	PUNCT
ejpam-5910	106	4	examined	examine	VERB
ejpam-5910	106	5	the	the	DET
ejpam-5910	106	6	optimization	optimization	NOUN
ejpam-5910	106	7	and	and	CCONJ
ejpam-5910	106	8	performance	performance	NOUN
ejpam-5910	106	9	of	of	ADP
ejpam-5910	106	10	a	a	DET
ejpam-5910	106	11	queueing	queue	VERB
ejpam-5910	106	12	model	model	NOUN
ejpam-5910	106	13	featuring	feature	VERB
ejpam-5910	106	14	n	n	CCONJ
ejpam-5910	106	15	-	-	PUNCT
ejpam-5910	106	16	policy	policy	NOUN
ejpam-5910	106	17	and	and	CCONJ
ejpam-5910	106	18	delayed	delay	VERB
ejpam-5910	106	19	uninterrupted	uninterrupted	ADJ
ejpam-5910	106	20	multiple	multiple	ADJ
ejpam-5910	106	21	vacations	vacation	NOUN
ejpam-5910	106	22	.	.	PUNCT
ejpam-5910	107	1	several	several	ADJ
ejpam-5910	107	2	researchers	researcher	NOUN
ejpam-5910	107	3	have	have	AUX
ejpam-5910	107	4	studied	study	VERB
ejpam-5910	107	5	bulk	bulk	ADJ
ejpam-5910	107	6	service	service	NOUN
ejpam-5910	107	7	systems	system	NOUN
ejpam-5910	107	8	with	with	ADP
ejpam-5910	107	9	multiple	multiple	ADJ
ejpam-5910	107	10	vacations	vacation	NOUN
ejpam-5910	107	11	.	.	PUNCT
ejpam-5910	108	1	notably	notably	ADV
ejpam-5910	108	2	,	,	PUNCT
ejpam-5910	108	3	s.	s.	PROPN
ejpam-5910	108	4	jeyakumar	jeyakumar	PROPN
ejpam-5910	108	5	and	and	CCONJ
ejpam-5910	108	6	b.	b.	PROPN
ejpam-5910	108	7	senthilnathan	senthilnathan	PROPN
ejpam-5910	108	8	introduced	introduce	VERB
ejpam-5910	108	9	the	the	DET
ejpam-5910	108	10	concept	concept	NOUN
ejpam-5910	108	11	of	of	ADP
ejpam-5910	108	12	server	server	NOUN
ejpam-5910	108	13	breakdown	breakdown	NOUN
ejpam-5910	108	14	without	without	ADP
ejpam-5910	108	15	interruption	interruption	NOUN
ejpam-5910	108	16	in	in	ADP
ejpam-5910	108	17	their	their	PRON
ejpam-5910	108	18	work	work	NOUN
ejpam-5910	108	19	titled	title	VERB
ejpam-5910	108	20	“	"	PUNCT
ejpam-5910	108	21	a	a	DET
ejpam-5910	108	22	study	study	NOUN
ejpam-5910	108	23	on	on	ADP
ejpam-5910	108	24	the	the	DET
ejpam-5910	108	25	behaviour	behaviour	NOUN
ejpam-5910	108	26	of	of	ADP
ejpam-5910	108	27	the	the	DET
ejpam-5910	108	28	server	server	NOUN
ejpam-5910	108	29	breakdown	breakdown	NOUN
ejpam-5910	108	30	without	without	ADP
ejpam-5910	108	31	interruption	interruption	NOUN
ejpam-5910	108	32	in	in	ADP
ejpam-5910	108	33	an	an	DET
ejpam-5910	108	34	m	m	NOUN
ejpam-5910	109	1	[	[	X
ejpam-5910	110	1	x]/g(a	x]/g(a	PROPN
ejpam-5910	110	2	,	,	PUNCT
ejpam-5910	110	3	b)/1	b)/1	PROPN
ejpam-5910	110	4	queueing	queue	VERB
ejpam-5910	110	5	system	system	NOUN
ejpam-5910	110	6	with	with	ADP
ejpam-5910	110	7	multiple	multiple	ADJ
ejpam-5910	110	8	vacations	vacation	NOUN
ejpam-5910	110	9	and	and	CCONJ
ejpam-5910	110	10	closedown	closedown	ADJ
ejpam-5910	110	11	time	time	NOUN
ejpam-5910	110	12	.	.	PUNCT
ejpam-5910	110	13	”	"	PUNCT
ejpam-5910	111	1	in	in	ADP
ejpam-5910	111	2	their	their	PRON
ejpam-5910	111	3	model	model	NOUN
ejpam-5910	111	4	,	,	PUNCT
ejpam-5910	111	5	the	the	DET
ejpam-5910	111	6	system	system	NOUN
ejpam-5910	111	7	enters	enter	VERB
ejpam-5910	111	8	vacation	vacation	NOUN
ejpam-5910	111	9	mode	mode	NOUN
ejpam-5910	111	10	when	when	SCONJ
ejpam-5910	111	11	the	the	DET
ejpam-5910	111	12	number	number	NOUN
ejpam-5910	111	13	of	of	ADP
ejpam-5910	111	14	customers	customer	NOUN
ejpam-5910	111	15	falls	fall	VERB
ejpam-5910	111	16	below	below	ADP
ejpam-5910	111	17	a	a	DET
ejpam-5910	111	18	certain	certain	ADJ
ejpam-5910	111	19	threshold	threshold	NOUN
ejpam-5910	111	20	.	.	PUNCT
ejpam-5910	112	1	in	in	ADP
ejpam-5910	112	2	contrast	contrast	NOUN
ejpam-5910	112	3	,	,	PUNCT
ejpam-5910	112	4	our	our	PRON
ejpam-5910	112	5	work	work	NOUN
ejpam-5910	112	6	introduces	introduce	VERB
ejpam-5910	112	7	the	the	DET
ejpam-5910	112	8	concept	concept	NOUN
ejpam-5910	112	9	karpagam	karpagam	PROPN
ejpam-5910	112	10	s	s	PROPN
ejpam-5910	112	11	,	,	PUNCT
ejpam-5910	112	12	aarthy	aarthy	ADJ
ejpam-5910	112	13	n	n	CCONJ
ejpam-5910	112	14	,	,	PUNCT
ejpam-5910	112	15	g.	g.	PROPN
ejpam-5910	112	16	k.	k.	PROPN
ejpam-5910	112	17	gupta	gupta	PROPN
ejpam-5910	112	18	/	/	SYM
ejpam-5910	112	19	eur	eur	PROPN
ejpam-5910	112	20	.	.	PUNCT
ejpam-5910	113	1	j.	j.	PROPN
ejpam-5910	113	2	pure	pure	PROPN
ejpam-5910	113	3	appl	appl	PROPN
ejpam-5910	113	4	.	.	PROPN
ejpam-5910	113	5	math	math	PROPN
ejpam-5910	113	6	,	,	PUNCT
ejpam-5910	113	7	18	18	NUM
ejpam-5910	113	8	(	(	PUNCT
ejpam-5910	113	9	3	3	NUM
ejpam-5910	113	10	)	)	PUNCT
ejpam-5910	113	11	(	(	PUNCT
ejpam-5910	113	12	2025	2025	NUM
ejpam-5910	113	13	)	)	PUNCT
ejpam-5910	113	14	,	,	PUNCT
ejpam-5910	113	15	5910	5910	NUM
ejpam-5910	113	16	5	5	NUM
ejpam-5910	113	17	of	of	ADP
ejpam-5910	113	18	28	28	NUM
ejpam-5910	113	19	of	of	ADP
ejpam-5910	113	20	low	low	ADJ
ejpam-5910	113	21	-	-	PUNCT
ejpam-5910	113	22	batch	batch	NOUN
ejpam-5910	113	23	service	service	NOUN
ejpam-5910	113	24	,	,	PUNCT
ejpam-5910	113	25	wherein	wherein	SCONJ
ejpam-5910	113	26	the	the	DET
ejpam-5910	113	27	system	system	NOUN
ejpam-5910	113	28	remains	remain	VERB
ejpam-5910	113	29	active	active	ADJ
ejpam-5910	113	30	and	and	CCONJ
ejpam-5910	113	31	continues	continue	VERB
ejpam-5910	113	32	to	to	PART
ejpam-5910	113	33	serve	serve	VERB
ejpam-5910	113	34	customers	customer	NOUN
ejpam-5910	113	35	even	even	ADV
ejpam-5910	113	36	when	when	SCONJ
ejpam-5910	113	37	the	the	DET
ejpam-5910	113	38	number	number	NOUN
ejpam-5910	113	39	falls	fall	VERB
ejpam-5910	113	40	below	below	ADP
ejpam-5910	113	41	the	the	DET
ejpam-5910	113	42	threshold	threshold	NOUN
ejpam-5910	113	43	.	.	PUNCT
ejpam-5910	114	1	this	this	DET
ejpam-5910	114	2	flexible	flexible	ADJ
ejpam-5910	114	3	service	service	NOUN
ejpam-5910	114	4	approach	approach	NOUN
ejpam-5910	114	5	is	be	AUX
ejpam-5910	114	6	distinct	distinct	ADJ
ejpam-5910	114	7	from	from	ADP
ejpam-5910	114	8	the	the	DET
ejpam-5910	114	9	traditional	traditional	ADJ
ejpam-5910	114	10	vacation	vacation	NOUN
ejpam-5910	114	11	model	model	NOUN
ejpam-5910	114	12	.	.	PUNCT
ejpam-5910	115	1	importantly	importantly	ADV
ejpam-5910	115	2	,	,	PUNCT
ejpam-5910	115	3	the	the	DET
ejpam-5910	115	4	integration	integration	NOUN
ejpam-5910	115	5	of	of	ADP
ejpam-5910	115	6	both	both	PRON
ejpam-5910	115	7	bulk	bulk	ADJ
ejpam-5910	115	8	service	service	NOUN
ejpam-5910	115	9	and	and	CCONJ
ejpam-5910	115	10	low	low	ADJ
ejpam-5910	115	11	-	-	PUNCT
ejpam-5910	115	12	batch	batch	NOUN
ejpam-5910	115	13	service	service	NOUN
ejpam-5910	115	14	has	have	AUX
ejpam-5910	115	15	not	not	PART
ejpam-5910	115	16	yet	yet	ADV
ejpam-5910	115	17	been	be	AUX
ejpam-5910	115	18	addressed	address	VERB
ejpam-5910	115	19	in	in	ADP
ejpam-5910	115	20	the	the	DET
ejpam-5910	115	21	existing	exist	VERB
ejpam-5910	115	22	literature	literature	NOUN
ejpam-5910	115	23	.	.	PUNCT
ejpam-5910	116	1	this	this	DET
ejpam-5910	116	2	section	section	NOUN
ejpam-5910	116	3	provides	provide	VERB
ejpam-5910	116	4	an	an	DET
ejpam-5910	116	5	overview	overview	NOUN
ejpam-5910	116	6	of	of	ADP
ejpam-5910	116	7	the	the	DET
ejpam-5910	116	8	current	current	ADJ
ejpam-5910	116	9	literature	literature	NOUN
ejpam-5910	116	10	,	,	PUNCT
ejpam-5910	116	11	highlighting	highlight	VERB
ejpam-5910	116	12	areas	area	NOUN
ejpam-5910	116	13	that	that	PRON
ejpam-5910	116	14	require	require	VERB
ejpam-5910	116	15	further	further	ADJ
ejpam-5910	116	16	investigation	investigation	NOUN
ejpam-5910	116	17	due	due	ADP
ejpam-5910	116	18	to	to	ADP
ejpam-5910	116	19	existing	exist	VERB
ejpam-5910	116	20	gaps	gap	NOUN
ejpam-5910	116	21	and	and	CCONJ
ejpam-5910	116	22	inconsistencies	inconsistency	NOUN
ejpam-5910	116	23	.	.	PUNCT
ejpam-5910	117	1	the	the	DET
ejpam-5910	117	2	structure	structure	NOUN
ejpam-5910	117	3	of	of	ADP
ejpam-5910	117	4	this	this	DET
ejpam-5910	117	5	present	present	ADJ
ejpam-5910	117	6	work	work	NOUN
ejpam-5910	117	7	is	be	AUX
ejpam-5910	117	8	as	as	SCONJ
ejpam-5910	117	9	follows	follow	VERB
ejpam-5910	117	10	:	:	PUNCT
ejpam-5910	117	11	the	the	DET
ejpam-5910	117	12	first	first	ADJ
ejpam-5910	117	13	two	two	NUM
ejpam-5910	117	14	sections	section	NOUN
ejpam-5910	117	15	provide	provide	VERB
ejpam-5910	117	16	the	the	DET
ejpam-5910	117	17	“	"	PUNCT
ejpam-5910	117	18	introduction	introduction	NOUN
ejpam-5910	117	19	and	and	CCONJ
ejpam-5910	117	20	the	the	DET
ejpam-5910	117	21	literature	literature	NOUN
ejpam-5910	117	22	survey	survey	NOUN
ejpam-5910	117	23	”	"	PUNCT
ejpam-5910	117	24	.	.	PUNCT
ejpam-5910	118	1	section	section	NOUN
ejpam-5910	118	2	3	3	NUM
ejpam-5910	118	3	explained	explain	VERB
ejpam-5910	118	4	the	the	DET
ejpam-5910	118	5	“	"	PUNCT
ejpam-5910	118	6	model	model	NOUN
ejpam-5910	118	7	description	description	NOUN
ejpam-5910	118	8	”	"	PUNCT
ejpam-5910	118	9	outlines	outline	VERB
ejpam-5910	118	10	necessary	necessary	ADJ
ejpam-5910	118	11	assumptions	assumption	NOUN
ejpam-5910	118	12	for	for	ADP
ejpam-5910	118	13	formulating	formulate	VERB
ejpam-5910	118	14	the	the	DET
ejpam-5910	118	15	model	model	NOUN
ejpam-5910	118	16	.	.	PUNCT
ejpam-5910	119	1	section	section	NOUN
ejpam-5910	119	2	4	4	NUM
ejpam-5910	119	3	develops	develop	VERB
ejpam-5910	119	4	the	the	DET
ejpam-5910	119	5	“	"	PUNCT
ejpam-5910	119	6	queue	queue	NOUN
ejpam-5910	119	7	size	size	NOUN
ejpam-5910	119	8	distribution	distribution	NOUN
ejpam-5910	119	9	”	"	PUNCT
ejpam-5910	119	10	and	and	CCONJ
ejpam-5910	119	11	section	section	NOUN
ejpam-5910	119	12	5	5	NUM
ejpam-5910	119	13	described	describe	VERB
ejpam-5910	119	14	the	the	DET
ejpam-5910	119	15	“	"	PUNCT
ejpam-5910	119	16	probability	probability	NOUN
ejpam-5910	119	17	generating	generating	NOUN
ejpam-5910	119	18	function	function	NOUN
ejpam-5910	119	19	”	"	PUNCT
ejpam-5910	119	20	.	.	PUNCT
ejpam-5910	120	1	in	in	ADP
ejpam-5910	120	2	section	section	NOUN
ejpam-5910	120	3	6	6	NUM
ejpam-5910	120	4	“	"	PUNCT
ejpam-5910	120	5	performance	performance	NOUN
ejpam-5910	120	6	indices	index	NOUN
ejpam-5910	120	7	”	"	PUNCT
ejpam-5910	120	8	,	,	PUNCT
ejpam-5910	120	9	the	the	DET
ejpam-5910	120	10	performance	performance	NOUN
ejpam-5910	120	11	metrics	metric	NOUN
ejpam-5910	120	12	are	be	AUX
ejpam-5910	120	13	obtained	obtain	VERB
ejpam-5910	120	14	.	.	PUNCT
ejpam-5910	121	1	in	in	ADP
ejpam-5910	121	2	section	section	NOUN
ejpam-5910	121	3	7	7	NUM
ejpam-5910	121	4	,	,	PUNCT
ejpam-5910	121	5	“	"	PUNCT
ejpam-5910	121	6	cost	cost	NOUN
ejpam-5910	121	7	model	model	NOUN
ejpam-5910	121	8	”	"	PUNCT
ejpam-5910	121	9	has	have	AUX
ejpam-5910	121	10	been	be	AUX
ejpam-5910	121	11	developed	develop	VERB
ejpam-5910	121	12	.	.	PUNCT
ejpam-5910	122	1	to	to	PART
ejpam-5910	122	2	verify	verify	VERB
ejpam-5910	122	3	the	the	DET
ejpam-5910	122	4	findings	finding	NOUN
ejpam-5910	122	5	of	of	ADP
ejpam-5910	122	6	the	the	DET
ejpam-5910	122	7	analysis	analysis	NOUN
ejpam-5910	122	8	,	,	PUNCT
ejpam-5910	122	9	“	"	PUNCT
ejpam-5910	122	10	numerical	numerical	ADJ
ejpam-5910	122	11	representation	representation	NOUN
ejpam-5910	122	12	”	"	PUNCT
ejpam-5910	122	13	can	can	AUX
ejpam-5910	122	14	be	be	AUX
ejpam-5910	122	15	found	find	VERB
ejpam-5910	122	16	in	in	ADP
ejpam-5910	122	17	section	section	NOUN
ejpam-5910	122	18	8	8	NUM
ejpam-5910	122	19	.	.	PUNCT
ejpam-5910	123	1	finally	finally	ADV
ejpam-5910	123	2	,	,	PUNCT
ejpam-5910	123	3	section	section	NOUN
ejpam-5910	123	4	9	9	NUM
ejpam-5910	123	5	is	be	AUX
ejpam-5910	123	6	“	"	PUNCT
ejpam-5910	123	7	conclusion	conclusion	NOUN
ejpam-5910	123	8	and	and	CCONJ
ejpam-5910	123	9	future	future	ADJ
ejpam-5910	123	10	work	work	NOUN
ejpam-5910	123	11	”	"	PUNCT
ejpam-5910	123	12	.	.	PUNCT
ejpam-5910	124	1	3	3	X
ejpam-5910	124	2	.	.	X
ejpam-5910	124	3	model	model	NOUN
ejpam-5910	124	4	description	description	NOUN
ejpam-5910	124	5	the	the	DET
ejpam-5910	124	6	study	study	NOUN
ejpam-5910	124	7	examines	examine	VERB
ejpam-5910	124	8	the	the	DET
ejpam-5910	124	9	behavior	behavior	NOUN
ejpam-5910	124	10	of	of	ADP
ejpam-5910	124	11	uninterruptible	uninterruptible	ADJ
ejpam-5910	124	12	server	server	NOUN
ejpam-5910	124	13	breakdowns	breakdown	NOUN
ejpam-5910	124	14	in	in	ADP
ejpam-5910	124	15	a	a	DET
ejpam-5910	124	16	bulk	bulk	ADJ
ejpam-5910	124	17	service	service	NOUN
ejpam-5910	124	18	queueing	queue	VERB
ejpam-5910	124	19	system	system	NOUN
ejpam-5910	124	20	incorporating	incorporate	VERB
ejpam-5910	124	21	multiple	multiple	ADJ
ejpam-5910	124	22	vacations	vacation	NOUN
ejpam-5910	124	23	and	and	CCONJ
ejpam-5910	124	24	low	low	ADJ
ejpam-5910	124	25	-	-	PUNCT
ejpam-5910	124	26	batch	batch	NOUN
ejpam-5910	124	27	service	service	NOUN
ejpam-5910	124	28	(	(	PUNCT
ejpam-5910	124	29	lbs	lbs	NOUN
ejpam-5910	124	30	)	)	PUNCT
ejpam-5910	124	31	mechanism	mechanism	NOUN
ejpam-5910	124	32	.	.	PUNCT
ejpam-5910	125	1	customer	customer	NOUN
ejpam-5910	125	2	arrivals	arrival	NOUN
ejpam-5910	125	3	follow	follow	VERB
ejpam-5910	125	4	a	a	DET
ejpam-5910	125	5	compound	compound	NOUN
ejpam-5910	125	6	poisson	poisson	NOUN
ejpam-5910	125	7	process	process	NOUN
ejpam-5910	125	8	under	under	ADP
ejpam-5910	125	9	which	which	PRON
ejpam-5910	125	10	customers	customer	NOUN
ejpam-5910	125	11	arrive	arrive	VERB
ejpam-5910	125	12	in	in	ADP
ejpam-5910	125	13	batches	batch	NOUN
ejpam-5910	125	14	.	.	PUNCT
ejpam-5910	126	1	service	service	NOUN
ejpam-5910	126	2	times	time	NOUN
ejpam-5910	126	3	are	be	AUX
ejpam-5910	126	4	generally	generally	ADV
ejpam-5910	126	5	distributed	distribute	VERB
ejpam-5910	126	6	for	for	ADP
ejpam-5910	126	7	both	both	CCONJ
ejpam-5910	126	8	bulk	bulk	ADJ
ejpam-5910	126	9	and	and	CCONJ
ejpam-5910	126	10	low	low	ADJ
ejpam-5910	126	11	-	-	PUNCT
ejpam-5910	126	12	batch	batch	NOUN
ejpam-5910	126	13	services	service	NOUN
ejpam-5910	126	14	.	.	PUNCT
ejpam-5910	127	1	the	the	DET
ejpam-5910	127	2	system	system	NOUN
ejpam-5910	127	3	consists	consist	VERB
ejpam-5910	127	4	of	of	ADP
ejpam-5910	127	5	a	a	DET
ejpam-5910	127	6	single	single	ADJ
ejpam-5910	127	7	server	server	NOUN
ejpam-5910	127	8	that	that	PRON
ejpam-5910	127	9	operates	operate	VERB
ejpam-5910	127	10	under	under	ADP
ejpam-5910	127	11	two	two	NUM
ejpam-5910	127	12	service	service	NOUN
ejpam-5910	127	13	modes	mode	NOUN
ejpam-5910	127	14	:	:	PUNCT
ejpam-5910	127	15	the	the	DET
ejpam-5910	127	16	general	general	ADJ
ejpam-5910	127	17	bulk	bulk	ADJ
ejpam-5910	127	18	service	service	NOUN
ejpam-5910	127	19	rule	rule	NOUN
ejpam-5910	127	20	(	(	PUNCT
ejpam-5910	127	21	gbsr	gbsr	NOUN
ejpam-5910	127	22	)	)	PUNCT
ejpam-5910	127	23	and	and	CCONJ
ejpam-5910	127	24	the	the	DET
ejpam-5910	127	25	low	low	ADJ
ejpam-5910	127	26	-	-	PUNCT
ejpam-5910	127	27	batch	batch	NOUN
ejpam-5910	127	28	service	service	NOUN
ejpam-5910	127	29	rule	rule	NOUN
ejpam-5910	127	30	(	(	PUNCT
ejpam-5910	127	31	lbsr	lbsr	NOUN
ejpam-5910	127	32	)	)	PUNCT
ejpam-5910	127	33	.	.	PUNCT
ejpam-5910	128	1	the	the	DET
ejpam-5910	128	2	service	service	NOUN
ejpam-5910	128	3	mode	mode	NOUN
ejpam-5910	128	4	applied	apply	VERB
ejpam-5910	128	5	depends	depend	VERB
ejpam-5910	128	6	on	on	ADP
ejpam-5910	128	7	the	the	DET
ejpam-5910	128	8	number	number	NOUN
ejpam-5910	128	9	of	of	ADP
ejpam-5910	128	10	customers	customer	NOUN
ejpam-5910	128	11	in	in	ADP
ejpam-5910	128	12	the	the	DET
ejpam-5910	128	13	queue	queue	NOUN
ejpam-5910	128	14	at	at	ADP
ejpam-5910	128	15	a	a	DET
ejpam-5910	128	16	service	service	NOUN
ejpam-5910	128	17	completion	completion	NOUN
ejpam-5910	128	18	epoch	epoch	NOUN
ejpam-5910	128	19	.	.	PUNCT
ejpam-5910	129	1	the	the	DET
ejpam-5910	129	2	service	service	NOUN
ejpam-5910	129	3	selection	selection	NOUN
ejpam-5910	129	4	rules	rule	NOUN
ejpam-5910	129	5	under	under	ADP
ejpam-5910	129	6	lbsr	lbsr	NOUN
ejpam-5910	129	7	are	be	AUX
ejpam-5910	129	8	as	as	SCONJ
ejpam-5910	129	9	follows	follow	VERB
ejpam-5910	129	10	:	:	PUNCT
ejpam-5910	129	11	(	(	PUNCT
ejpam-5910	129	12	i	i	NOUN
ejpam-5910	129	13	)	)	PUNCT
ejpam-5910	130	1	1	1	NUM
ejpam-5910	130	2	≤	≤	NOUN
ejpam-5910	130	3	q	q	ADJ
ejpam-5910	130	4	≤	≤	ADJ
ejpam-5910	130	5	a−	a−	PROPN
ejpam-5910	130	6	1	1	NUM
ejpam-5910	130	7	;	;	PUNCT
ejpam-5910	130	8	all	all	DET
ejpam-5910	130	9	the	the	DET
ejpam-5910	130	10	customers	customer	NOUN
ejpam-5910	130	11	are	be	AUX
ejpam-5910	130	12	taken	take	VERB
ejpam-5910	130	13	for	for	ADP
ejpam-5910	130	14	service	service	NOUN
ejpam-5910	130	15	(	(	PUNCT
ejpam-5910	130	16	ii	ii	NOUN
ejpam-5910	130	17	)	)	PUNCT
ejpam-5910	130	18	q	q	NOUN
ejpam-5910	131	1	≥	≥	NOUN
ejpam-5910	131	2	a	a	X
ejpam-5910	131	3	;	;	PUNCT
ejpam-5910	131	4	the	the	DET
ejpam-5910	131	5	server	server	NOUN
ejpam-5910	131	6	switches	switch	NOUN
ejpam-5910	131	7	to	to	ADP
ejpam-5910	131	8	bulk	bulk	ADJ
ejpam-5910	131	9	service	service	NOUN
ejpam-5910	131	10	(	(	PUNCT
ejpam-5910	131	11	iii	iii	NOUN
ejpam-5910	131	12	)	)	PUNCT
ejpam-5910	131	13	q=0	q=0	NOUN
ejpam-5910	131	14	;	;	PUNCT
ejpam-5910	131	15	then	then	ADV
ejpam-5910	131	16	the	the	DET
ejpam-5910	131	17	server	server	NOUN
ejpam-5910	131	18	is	be	AUX
ejpam-5910	131	19	in	in	ADP
ejpam-5910	131	20	idle	idle	NOUN
ejpam-5910	131	21	here	here	ADV
ejpam-5910	131	22	,	,	PUNCT
ejpam-5910	131	23	q	q	PROPN
ejpam-5910	131	24	denotes	denote	VERB
ejpam-5910	131	25	the	the	DET
ejpam-5910	131	26	number	number	NOUN
ejpam-5910	131	27	of	of	ADP
ejpam-5910	131	28	customers	customer	NOUN
ejpam-5910	131	29	in	in	ADP
ejpam-5910	131	30	the	the	DET
ejpam-5910	131	31	queue	queue	NOUN
ejpam-5910	131	32	,	,	PUNCT
ejpam-5910	131	33	and	and	CCONJ
ejpam-5910	131	34	‘	'	PUNCT
ejpam-5910	131	35	a	a	PRON
ejpam-5910	131	36	’	'	PUNCT
ejpam-5910	131	37	is	be	AUX
ejpam-5910	131	38	a	a	DET
ejpam-5910	131	39	predefined	predefine	VERB
ejpam-5910	131	40	threshold	threshold	NOUN
ejpam-5910	131	41	that	that	PRON
ejpam-5910	131	42	distinguishes	distinguish	VERB
ejpam-5910	131	43	between	between	ADP
ejpam-5910	131	44	low	low	ADJ
ejpam-5910	131	45	-	-	PUNCT
ejpam-5910	131	46	batch	batch	NOUN
ejpam-5910	131	47	and	and	CCONJ
ejpam-5910	131	48	bulk	bulk	ADJ
ejpam-5910	131	49	service	service	NOUN
ejpam-5910	131	50	initiation	initiation	NOUN
ejpam-5910	131	51	.	.	PUNCT
ejpam-5910	132	1	each	each	DET
ejpam-5910	132	2	time	time	NOUN
ejpam-5910	132	3	bulk	bulk	ADJ
ejpam-5910	132	4	service	service	NOUN
ejpam-5910	132	5	is	be	AUX
ejpam-5910	132	6	completed	complete	VERB
ejpam-5910	132	7	,	,	PUNCT
ejpam-5910	132	8	the	the	DET
ejpam-5910	132	9	server	server	NOUN
ejpam-5910	132	10	may	may	AUX
ejpam-5910	132	11	break	break	VERB
ejpam-5910	132	12	down	down	ADP
ejpam-5910	132	13	with	with	ADP
ejpam-5910	132	14	probability	probability	NOUN
ejpam-5910	132	15	φ	φ	NOUN
ejpam-5910	132	16	,	,	PUNCT
ejpam-5910	132	17	in	in	ADP
ejpam-5910	132	18	this	this	DET
ejpam-5910	132	19	case	case	NOUN
ejpam-5910	132	20	it	it	PRON
ejpam-5910	132	21	is	be	AUX
ejpam-5910	132	22	immediately	immediately	ADV
ejpam-5910	132	23	sent	send	VERB
ejpam-5910	132	24	for	for	ADP
ejpam-5910	132	25	repair	repair	NOUN
ejpam-5910	132	26	.	.	PUNCT
ejpam-5910	133	1	upon	upon	SCONJ
ejpam-5910	133	2	repair	repair	NOUN
ejpam-5910	133	3	completion	completion	NOUN
ejpam-5910	133	4	,	,	PUNCT
ejpam-5910	133	5	or	or	CCONJ
ejpam-5910	133	6	if	if	SCONJ
ejpam-5910	133	7	no	no	DET
ejpam-5910	133	8	breakdown	breakdown	NOUN
ejpam-5910	133	9	occurs	occur	VERB
ejpam-5910	133	10	(	(	PUNCT
ejpam-5910	133	11	with	with	ADP
ejpam-5910	133	12	probability	probability	NOUN
ejpam-5910	133	13	1−φ	1−φ	NUM
ejpam-5910	133	14	)	)	PUNCT
ejpam-5910	133	15	,	,	PUNCT
ejpam-5910	133	16	or	or	CCONJ
ejpam-5910	133	17	at	at	ADP
ejpam-5910	133	18	the	the	DET
ejpam-5910	133	19	moment	moment	NOUN
ejpam-5910	133	20	of	of	ADP
ejpam-5910	133	21	lbs	lbs	PROPN
ejpam-5910	133	22	completion	completion	NOUN
ejpam-5910	133	23	,	,	PUNCT
ejpam-5910	133	24	the	the	DET
ejpam-5910	133	25	server	server	NOUN
ejpam-5910	133	26	checks	check	VERB
ejpam-5910	133	27	the	the	DET
ejpam-5910	133	28	queue	queue	NOUN
ejpam-5910	133	29	length	length	NOUN
ejpam-5910	133	30	.	.	PUNCT
ejpam-5910	134	1	if	if	SCONJ
ejpam-5910	134	2	no	no	DET
ejpam-5910	134	3	customers	customer	NOUN
ejpam-5910	134	4	are	be	AUX
ejpam-5910	134	5	waiting	wait	VERB
ejpam-5910	134	6	,	,	PUNCT
ejpam-5910	134	7	the	the	DET
ejpam-5910	134	8	server	server	NOUN
ejpam-5910	134	9	initiates	initiate	VERB
ejpam-5910	134	10	multiple	multiple	ADJ
ejpam-5910	134	11	random	random	ADJ
ejpam-5910	134	12	-	-	PUNCT
ejpam-5910	134	13	length	length	NOUN
ejpam-5910	134	14	vacations	vacation	NOUN
ejpam-5910	134	15	.	.	PUNCT
ejpam-5910	135	1	upon	upon	SCONJ
ejpam-5910	135	2	returning	return	VERB
ejpam-5910	135	3	from	from	ADP
ejpam-5910	135	4	a	a	DET
ejpam-5910	135	5	vacation	vacation	NOUN
ejpam-5910	135	6	,	,	PUNCT
ejpam-5910	135	7	if	if	SCONJ
ejpam-5910	135	8	fewer	few	ADJ
ejpam-5910	135	9	than	than	ADP
ejpam-5910	135	10	‘	'	PUNCT
ejpam-5910	135	11	a	a	DET
ejpam-5910	135	12	’	'	PUNCT
ejpam-5910	135	13	customers	customer	NOUN
ejpam-5910	135	14	are	be	AUX
ejpam-5910	135	15	present	present	ADJ
ejpam-5910	135	16	,	,	PUNCT
ejpam-5910	135	17	the	the	DET
ejpam-5910	135	18	server	server	NOUN
ejpam-5910	135	19	takes	take	VERB
ejpam-5910	135	20	another	another	DET
ejpam-5910	135	21	vacation	vacation	NOUN
ejpam-5910	135	22	,	,	PUNCT
ejpam-5910	135	23	repeating	repeat	VERB
ejpam-5910	135	24	this	this	DET
ejpam-5910	135	25	process	process	NOUN
ejpam-5910	135	26	until	until	SCONJ
ejpam-5910	135	27	at	at	ADP
ejpam-5910	135	28	least	least	ADJ
ejpam-5910	135	29	‘	'	PUNCT
ejpam-5910	135	30	a	a	DET
ejpam-5910	135	31	’	'	PUNCT
ejpam-5910	135	32	customers	customer	NOUN
ejpam-5910	135	33	are	be	AUX
ejpam-5910	135	34	in	in	ADP
ejpam-5910	135	35	the	the	DET
ejpam-5910	135	36	queue	queue	NOUN
ejpam-5910	135	37	.	.	PUNCT
ejpam-5910	136	1	once	once	ADV
ejpam-5910	136	2	this	this	DET
ejpam-5910	136	3	threshold	threshold	NOUN
ejpam-5910	136	4	is	be	AUX
ejpam-5910	136	5	met	meet	VERB
ejpam-5910	136	6	,	,	PUNCT
ejpam-5910	136	7	the	the	DET
ejpam-5910	136	8	server	server	NOUN
ejpam-5910	136	9	starts	start	VERB
ejpam-5910	136	10	bulk	bulk	ADJ
ejpam-5910	136	11	service	service	NOUN
ejpam-5910	136	12	.	.	PUNCT
ejpam-5910	137	1	after	after	ADP
ejpam-5910	137	2	each	each	DET
ejpam-5910	137	3	service	service	NOUN
ejpam-5910	137	4	completion	completion	NOUN
ejpam-5910	137	5	,	,	PUNCT
ejpam-5910	137	6	the	the	DET
ejpam-5910	137	7	server	server	NOUN
ejpam-5910	137	8	start	start	VERB
ejpam-5910	137	9	bulk	bulk	ADJ
ejpam-5910	137	10	service	service	NOUN
ejpam-5910	137	11	or	or	CCONJ
ejpam-5910	137	12	low	low	ADJ
ejpam-5910	137	13	-	-	PUNCT
ejpam-5910	137	14	batch	batch	NOUN
ejpam-5910	137	15	service	service	NOUN
ejpam-5910	137	16	based	base	VERB
ejpam-5910	137	17	on	on	ADP
ejpam-5910	137	18	the	the	DET
ejpam-5910	137	19	queue	queue	NOUN
ejpam-5910	137	20	length	length	NOUN
ejpam-5910	137	21	.	.	PUNCT
ejpam-5910	138	1	3.1	3.1	NUM
ejpam-5910	138	2	.	.	PUNCT
ejpam-5910	138	3	notations	notation	NOUN
ejpam-5910	138	4	the	the	DET
ejpam-5910	138	5	following	follow	VERB
ejpam-5910	138	6	notations	notation	NOUN
ejpam-5910	138	7	are	be	AUX
ejpam-5910	138	8	used	use	VERB
ejpam-5910	138	9	:	:	PUNCT
ejpam-5910	138	10	x	x	SYM
ejpam-5910	138	11	a	a	DET
ejpam-5910	138	12	random	random	ADJ
ejpam-5910	138	13	variable	variable	NOUN
ejpam-5910	138	14	representing	represent	VERB
ejpam-5910	138	15	the	the	DET
ejpam-5910	138	16	group	group	NOUN
ejpam-5910	138	17	size	size	NOUN
ejpam-5910	138	18	.	.	PUNCT
ejpam-5910	139	1	karpagam	karpagam	PROPN
ejpam-5910	139	2	s	s	PROPN
ejpam-5910	139	3	,	,	PUNCT
ejpam-5910	139	4	aarthy	aarthy	ADJ
ejpam-5910	139	5	n	n	CCONJ
ejpam-5910	139	6	,	,	PUNCT
ejpam-5910	139	7	g.	g.	PROPN
ejpam-5910	139	8	k.	k.	PROPN
ejpam-5910	139	9	gupta	gupta	PROPN
ejpam-5910	139	10	/	/	SYM
ejpam-5910	139	11	eur	eur	PROPN
ejpam-5910	139	12	.	.	PUNCT
ejpam-5910	140	1	j.	j.	PROPN
ejpam-5910	140	2	pure	pure	PROPN
ejpam-5910	140	3	appl	appl	PROPN
ejpam-5910	140	4	.	.	PROPN
ejpam-5910	140	5	math	math	PROPN
ejpam-5910	140	6	,	,	PUNCT
ejpam-5910	140	7	18	18	NUM
ejpam-5910	140	8	(	(	PUNCT
ejpam-5910	140	9	3	3	NUM
ejpam-5910	140	10	)	)	PUNCT
ejpam-5910	140	11	(	(	PUNCT
ejpam-5910	140	12	2025	2025	NUM
ejpam-5910	140	13	)	)	PUNCT
ejpam-5910	140	14	,	,	PUNCT
ejpam-5910	140	15	5910	5910	NUM
ejpam-5910	140	16	6	6	NUM
ejpam-5910	140	17	of	of	ADP
ejpam-5910	140	18	28	28	NUM
ejpam-5910	140	19	gκpr{x	gκpr{x	PROPN
ejpam-5910	140	20	=	=	SYM
ejpam-5910	140	21	κ	κ	NOUN
ejpam-5910	140	22	}	}	PUNCT
ejpam-5910	140	23	.	.	PUNCT
ejpam-5910	141	1	λ	λ	PROPN
ejpam-5910	141	2	arrival	arrival	NOUN
ejpam-5910	141	3	rate	rate	NOUN
ejpam-5910	141	4	.	.	PUNCT
ejpam-5910	142	1	x(z	x(z	PROPN
ejpam-5910	142	2	)	)	PUNCT
ejpam-5910	143	1	the	the	DET
ejpam-5910	143	2	pgf	pgf	NOUN
ejpam-5910	143	3	of	of	ADP
ejpam-5910	143	4	the	the	DET
ejpam-5910	143	5	random	random	ADJ
ejpam-5910	143	6	variable	variable	NOUN
ejpam-5910	143	7	x.	x.	NOUN
ejpam-5910	143	8	s	s	PROPN
ejpam-5910	143	9	(	(	PUNCT
ejpam-5910	143	10	.	.	PUNCT
ejpam-5910	143	11	)	)	PUNCT
ejpam-5910	144	1	function	function	NOUN
ejpam-5910	144	2	of	of	ADP
ejpam-5910	144	3	cumulative	cumulative	ADJ
ejpam-5910	144	4	distribution	distribution	NOUN
ejpam-5910	144	5	for	for	ADP
ejpam-5910	144	6	bulk	bulk	ADJ
ejpam-5910	144	7	service	service	NOUN
ejpam-5910	144	8	times	time	NOUN
ejpam-5910	144	9	.	.	PUNCT
ejpam-5910	145	1	r	r	X
ejpam-5910	145	2	(	(	PUNCT
ejpam-5910	145	3	.	.	PUNCT
ejpam-5910	145	4	)	)	PUNCT
ejpam-5910	145	5	function	function	NOUN
ejpam-5910	145	6	of	of	ADP
ejpam-5910	145	7	cumulative	cumulative	ADJ
ejpam-5910	145	8	distribution	distribution	NOUN
ejpam-5910	145	9	for	for	ADP
ejpam-5910	145	10	renovation	renovation	NOUN
ejpam-5910	145	11	times	time	NOUN
ejpam-5910	145	12	.	.	PUNCT
ejpam-5910	146	1	c	c	X
ejpam-5910	146	2	(	(	PUNCT
ejpam-5910	146	3	.	.	PUNCT
ejpam-5910	146	4	)	)	PUNCT
ejpam-5910	146	5	function	function	NOUN
ejpam-5910	146	6	of	of	ADP
ejpam-5910	146	7	cumulative	cumulative	ADJ
ejpam-5910	146	8	distribution	distribution	NOUN
ejpam-5910	146	9	for	for	ADP
ejpam-5910	146	10	low	low	ADJ
ejpam-5910	146	11	-	-	PUNCT
ejpam-5910	146	12	batch	batch	NOUN
ejpam-5910	146	13	service	service	NOUN
ejpam-5910	146	14	times	time	NOUN
ejpam-5910	146	15	.	.	PUNCT
ejpam-5910	147	1	v	v	X
ejpam-5910	147	2	(	(	PUNCT
ejpam-5910	147	3	.	.	PUNCT
ejpam-5910	147	4	)	)	PUNCT
ejpam-5910	148	1	function	function	NOUN
ejpam-5910	148	2	of	of	ADP
ejpam-5910	148	3	cumulative	cumulative	ADJ
ejpam-5910	148	4	distribution	distribution	NOUN
ejpam-5910	148	5	for	for	ADP
ejpam-5910	148	6	vacation	vacation	NOUN
ejpam-5910	148	7	times	time	NOUN
ejpam-5910	148	8	.	.	PUNCT
ejpam-5910	149	1	s(ℏ	s(ℏ	PROPN
ejpam-5910	149	2	)	)	PUNCT
ejpam-5910	149	3	the	the	DET
ejpam-5910	149	4	density	density	NOUN
ejpam-5910	149	5	function	function	NOUN
ejpam-5910	149	6	of	of	ADP
ejpam-5910	149	7	probability	probability	NOUN
ejpam-5910	149	8	for	for	ADP
ejpam-5910	149	9	s.	s.	PROPN
ejpam-5910	149	10	r(ℏ	r(ℏ	PROPN
ejpam-5910	149	11	)	)	PUNCT
ejpam-5910	149	12	the	the	DET
ejpam-5910	149	13	density	density	NOUN
ejpam-5910	149	14	function	function	NOUN
ejpam-5910	149	15	of	of	ADP
ejpam-5910	149	16	probability	probability	NOUN
ejpam-5910	149	17	for	for	ADP
ejpam-5910	149	18	r.	r.	PROPN
ejpam-5910	149	19	c(ℏ	c(ℏ	PROPN
ejpam-5910	149	20	)	)	PUNCT
ejpam-5910	149	21	the	the	DET
ejpam-5910	149	22	density	density	NOUN
ejpam-5910	149	23	function	function	NOUN
ejpam-5910	149	24	of	of	ADP
ejpam-5910	149	25	probability	probability	NOUN
ejpam-5910	149	26	for	for	ADP
ejpam-5910	149	27	c.	c.	PROPN
ejpam-5910	149	28	v(ℏ	v(ℏ	PROPN
ejpam-5910	149	29	)	)	PUNCT
ejpam-5910	149	30	the	the	DET
ejpam-5910	149	31	density	density	NOUN
ejpam-5910	149	32	function	function	NOUN
ejpam-5910	149	33	of	of	ADP
ejpam-5910	149	34	probability	probability	NOUN
ejpam-5910	149	35	for	for	ADP
ejpam-5910	149	36	v.	v.	ADP
ejpam-5910	149	37	s̃(ϑ	s̃(ϑ	ADJ
ejpam-5910	149	38	)	)	PUNCT
ejpam-5910	149	39	laplace	laplace	NOUN
ejpam-5910	149	40	transformation	transformation	NOUN
ejpam-5910	149	41	of	of	ADP
ejpam-5910	149	42	stieljies	stieljie	NOUN
ejpam-5910	149	43	for	for	ADP
ejpam-5910	149	44	s.	s.	PROPN
ejpam-5910	149	45	r̃(ϑ	r̃(ϑ	PROPN
ejpam-5910	149	46	)	)	PUNCT
ejpam-5910	149	47	laplace	laplace	NOUN
ejpam-5910	149	48	transformation	transformation	NOUN
ejpam-5910	149	49	of	of	ADP
ejpam-5910	149	50	stieljies	stieljie	NOUN
ejpam-5910	149	51	for	for	ADP
ejpam-5910	149	52	r.	r.	PROPN
ejpam-5910	149	53	c̃(ϑ	c̃(ϑ	NOUN
ejpam-5910	149	54	)	)	PUNCT
ejpam-5910	149	55	laplace	laplace	NOUN
ejpam-5910	149	56	transformation	transformation	NOUN
ejpam-5910	149	57	of	of	ADP
ejpam-5910	149	58	stieljies	stieljie	NOUN
ejpam-5910	149	59	for	for	ADP
ejpam-5910	149	60	c.	c.	PROPN
ejpam-5910	149	61	ṽ	ṽ	PROPN
ejpam-5910	149	62	(	(	PUNCT
ejpam-5910	149	63	ϑ	ϑ	NOUN
ejpam-5910	149	64	)	)	PUNCT
ejpam-5910	149	65	laplace	laplace	NOUN
ejpam-5910	149	66	transformation	transformation	NOUN
ejpam-5910	149	67	of	of	ADP
ejpam-5910	149	68	stieljies	stieljie	NOUN
ejpam-5910	149	69	for	for	ADP
ejpam-5910	149	70	v.	v.	PROPN
ejpam-5910	149	71	s0(t	s0(t	PROPN
ejpam-5910	149	72	)	)	PUNCT
ejpam-5910	149	73	the	the	DET
ejpam-5910	149	74	remaining	remain	VERB
ejpam-5910	149	75	time	time	NOUN
ejpam-5910	149	76	for	for	ADP
ejpam-5910	149	77	bulk	bulk	ADJ
ejpam-5910	149	78	services	service	NOUN
ejpam-5910	149	79	.	.	PUNCT
ejpam-5910	150	1	r0(t	r0(t	VERB
ejpam-5910	150	2	)	)	PUNCT
ejpam-5910	150	3	the	the	DET
ejpam-5910	150	4	remaining	remain	VERB
ejpam-5910	150	5	time	time	NOUN
ejpam-5910	150	6	for	for	ADP
ejpam-5910	150	7	renovation	renovation	NOUN
ejpam-5910	150	8	.	.	PUNCT
ejpam-5910	151	1	c0(t	c0(t	VERB
ejpam-5910	151	2	)	)	PUNCT
ejpam-5910	151	3	the	the	DET
ejpam-5910	151	4	remaining	remain	VERB
ejpam-5910	151	5	time	time	NOUN
ejpam-5910	151	6	for	for	ADP
ejpam-5910	151	7	low	low	ADJ
ejpam-5910	151	8	-	-	PUNCT
ejpam-5910	151	9	batch	batch	NOUN
ejpam-5910	151	10	servicing	servicing	NOUN
ejpam-5910	151	11	.	.	PUNCT
ejpam-5910	152	1	v	v	ADP
ejpam-5910	152	2	0(t	0(t	NUM
ejpam-5910	152	3	)	)	PUNCT
ejpam-5910	152	4	the	the	DET
ejpam-5910	152	5	remaining	remain	VERB
ejpam-5910	152	6	time	time	NOUN
ejpam-5910	152	7	for	for	ADP
ejpam-5910	152	8	vacation	vacation	NOUN
ejpam-5910	152	9	.	.	PUNCT
ejpam-5910	153	1	ns(t	ns(t	PUNCT
ejpam-5910	153	2	)	)	PUNCT
ejpam-5910	153	3	the	the	DET
ejpam-5910	153	4	number	number	NOUN
ejpam-5910	153	5	of	of	ADP
ejpam-5910	153	6	customers	customer	NOUN
ejpam-5910	153	7	in	in	ADP
ejpam-5910	153	8	service	service	NOUN
ejpam-5910	153	9	at	at	ADP
ejpam-5910	153	10	that	that	DET
ejpam-5910	153	11	time	time	NOUN
ejpam-5910	153	12	t.	t.	PROPN
ejpam-5910	153	13	nq(t	nq(t	PUNCT
ejpam-5910	153	14	)	)	PUNCT
ejpam-5910	153	15	the	the	DET
ejpam-5910	153	16	number	number	NOUN
ejpam-5910	153	17	of	of	ADP
ejpam-5910	153	18	customers	customer	NOUN
ejpam-5910	153	19	in	in	ADP
ejpam-5910	153	20	queue	queue	NOUN
ejpam-5910	153	21	at	at	ADP
ejpam-5910	153	22	that	that	DET
ejpam-5910	153	23	time	time	NOUN
ejpam-5910	153	24	t.	t.	PROPN
ejpam-5910	153	25	karpagam	karpagam	PROPN
ejpam-5910	153	26	s	s	PROPN
ejpam-5910	153	27	,	,	PUNCT
ejpam-5910	153	28	aarthy	aarthy	ADJ
ejpam-5910	153	29	n	n	CCONJ
ejpam-5910	153	30	,	,	PUNCT
ejpam-5910	154	1	g.	g.	PROPN
ejpam-5910	154	2	k.	k.	PROPN
ejpam-5910	154	3	gupta	gupta	PROPN
ejpam-5910	154	4	/	/	SYM
ejpam-5910	154	5	eur	eur	PROPN
ejpam-5910	154	6	.	.	PUNCT
ejpam-5910	155	1	j.	j.	PROPN
ejpam-5910	155	2	pure	pure	PROPN
ejpam-5910	155	3	appl	appl	PROPN
ejpam-5910	155	4	.	.	PROPN
ejpam-5910	155	5	math	math	PROPN
ejpam-5910	155	6	,	,	PUNCT
ejpam-5910	155	7	18	18	NUM
ejpam-5910	155	8	(	(	PUNCT
ejpam-5910	155	9	3	3	NUM
ejpam-5910	155	10	)	)	PUNCT
ejpam-5910	155	11	(	(	PUNCT
ejpam-5910	155	12	2025	2025	NUM
ejpam-5910	155	13	)	)	PUNCT
ejpam-5910	155	14	,	,	PUNCT
ejpam-5910	155	15	5910	5910	NUM
ejpam-5910	155	16	7	7	NUM
ejpam-5910	155	17	of	of	ADP
ejpam-5910	155	18	28	28	NUM
ejpam-5910	155	19	define	define	NOUN
ejpam-5910	155	20	,	,	PUNCT
ejpam-5910	155	21	ϱ(t	ϱ(t	PROPN
ejpam-5910	155	22	)	)	PUNCT
ejpam-5910	155	23	=	=	PUNCT
ejpam-5910	155	24			NUM
ejpam-5910	155	25	1	1	NUM
ejpam-5910	155	26	,	,	PUNCT
ejpam-5910	155	27	denotes	denote	VERB
ejpam-5910	155	28	that	that	SCONJ
ejpam-5910	155	29	bulk	bulk	ADJ
ejpam-5910	155	30	service	service	NOUN
ejpam-5910	155	31	is	be	AUX
ejpam-5910	155	32	occupying	occupy	VERB
ejpam-5910	155	33	the	the	DET
ejpam-5910	155	34	server	server	NOUN
ejpam-5910	155	35	0	0	NUM
ejpam-5910	155	36	,	,	PUNCT
ejpam-5910	155	37	denotes	denote	VERB
ejpam-5910	155	38	that	that	SCONJ
ejpam-5910	155	39	the	the	DET
ejpam-5910	155	40	server	server	NOUN
ejpam-5910	155	41	is	be	AUX
ejpam-5910	155	42	on	on	ADP
ejpam-5910	155	43	vacation	vacation	NOUN
ejpam-5910	155	44	3	3	NUM
ejpam-5910	155	45	,	,	PUNCT
ejpam-5910	155	46	denotes	denote	VERB
ejpam-5910	155	47	a	a	DET
ejpam-5910	155	48	server	server	NOUN
ejpam-5910	155	49	renovation	renovation	NOUN
ejpam-5910	155	50	2	2	NUM
ejpam-5910	155	51	,	,	PUNCT
ejpam-5910	155	52	denotes	denote	VERB
ejpam-5910	155	53	that	that	SCONJ
ejpam-5910	155	54	low	low	ADJ
ejpam-5910	155	55	-	-	PUNCT
ejpam-5910	155	56	batch	batch	NOUN
ejpam-5910	155	57	service	service	NOUN
ejpam-5910	155	58	is	be	AUX
ejpam-5910	155	59	occupying	occupy	VERB
ejpam-5910	155	60	the	the	DET
ejpam-5910	155	61	server	server	NOUN
ejpam-5910	155	62	℘(t	℘(t	NOUN
ejpam-5910	155	63	)	)	PUNCT
ejpam-5910	155	64	=	=	SYM
ejpam-5910	156	1	f	f	X
ejpam-5910	156	2	,	,	PUNCT
ejpam-5910	156	3	if	if	SCONJ
ejpam-5910	156	4	the	the	DET
ejpam-5910	156	5	server	server	NOUN
ejpam-5910	156	6	is	be	AUX
ejpam-5910	156	7	on	on	ADP
ejpam-5910	156	8	fth	fth	NOUN
ejpam-5910	156	9	vacation	vacation	NOUN
ejpam-5910	156	10	.	.	PUNCT
ejpam-5910	157	1	state	state	NOUN
ejpam-5910	157	2	probabilities	probability	NOUN
ejpam-5910	157	3	are	be	AUX
ejpam-5910	157	4	defined	define	VERB
ejpam-5910	157	5	as	as	SCONJ
ejpam-5910	157	6	follows	follow	VERB
ejpam-5910	157	7	:	:	PUNCT
ejpam-5910	157	8	bι	bι	NUM
ejpam-5910	157	9	,	,	PUNCT
ejpam-5910	157	10	f(ℏ	f(ℏ	PROPN
ejpam-5910	157	11	,	,	PUNCT
ejpam-5910	157	12	t)dt	t)dt	PROPN
ejpam-5910	157	13	=	=	PUNCT
ejpam-5910	157	14	pr{ns(t	pr{ns(t	PROPN
ejpam-5910	157	15	)	)	PUNCT
ejpam-5910	158	1	=	=	SYM
ejpam-5910	158	2	ι	ι	PROPN
ejpam-5910	158	3	,	,	PUNCT
ejpam-5910	158	4	nq(t	nq(t	PUNCT
ejpam-5910	158	5	)	)	PUNCT
ejpam-5910	158	6	=	=	SYM
ejpam-5910	158	7	f	f	X
ejpam-5910	158	8	,	,	PUNCT
ejpam-5910	158	9	ℏ	ℏ	PROPN
ejpam-5910	158	10	≤	≤	PROPN
ejpam-5910	158	11	s0(t	s0(t	PROPN
ejpam-5910	158	12	)	)	PUNCT
ejpam-5910	158	13	≤	≤	NOUN
ejpam-5910	158	14	ℏ+	ℏ+	X
ejpam-5910	158	15	dt	dt	NOUN
ejpam-5910	158	16	,	,	PUNCT
ejpam-5910	158	17	ϱ(t	ϱ(t	PROPN
ejpam-5910	158	18	)	)	PUNCT
ejpam-5910	158	19	=	=	SYM
ejpam-5910	158	20	1	1	NUM
ejpam-5910	158	21	}	}	PUNCT
ejpam-5910	158	22	,	,	PUNCT
ejpam-5910	158	23	a	a	DET
ejpam-5910	158	24	≤	≤	NOUN
ejpam-5910	158	25	ι	ι	PRON
ejpam-5910	158	26	≤	≤	NUM
ejpam-5910	158	27	b	b	NOUN
ejpam-5910	158	28	,	,	PUNCT
ejpam-5910	158	29	f	f	PROPN
ejpam-5910	158	30	≥	≥	PROPN
ejpam-5910	158	31	0	0	NUM
ejpam-5910	158	32	,	,	PUNCT
ejpam-5910	158	33	lι	lι	PROPN
ejpam-5910	158	34	,	,	PUNCT
ejpam-5910	158	35	f(ℏ	f(ℏ	PROPN
ejpam-5910	158	36	,	,	PUNCT
ejpam-5910	158	37	t)dt	t)dt	PROPN
ejpam-5910	158	38	=	=	PUNCT
ejpam-5910	158	39	pr{ns(t	pr{ns(t	PROPN
ejpam-5910	158	40	)	)	PUNCT
ejpam-5910	158	41	=	=	SYM
ejpam-5910	159	1	ι	ι	PROPN
ejpam-5910	159	2	,	,	PUNCT
ejpam-5910	159	3	nq(t	nq(t	PUNCT
ejpam-5910	159	4	)	)	PUNCT
ejpam-5910	159	5	=	=	SYM
ejpam-5910	159	6	f	f	X
ejpam-5910	159	7	,	,	PUNCT
ejpam-5910	159	8	ℏ	ℏ	PROPN
ejpam-5910	159	9	≤	≤	NOUN
ejpam-5910	159	10	c0(t	c0(t	NOUN
ejpam-5910	159	11	)	)	PUNCT
ejpam-5910	159	12	≤	≤	NOUN
ejpam-5910	159	13	ℏ+	ℏ+	X
ejpam-5910	159	14	dt	dt	NOUN
ejpam-5910	159	15	,	,	PUNCT
ejpam-5910	159	16	ϱ(t	ϱ(t	PROPN
ejpam-5910	159	17	)	)	PUNCT
ejpam-5910	159	18	=	=	SYM
ejpam-5910	159	19	2	2	NUM
ejpam-5910	159	20	}	}	PUNCT
ejpam-5910	159	21	,	,	PUNCT
ejpam-5910	159	22	1	1	NUM
ejpam-5910	159	23	≤	≤	NUM
ejpam-5910	159	24	ι	ι	PRON
ejpam-5910	159	25	≤	≤	ADJ
ejpam-5910	159	26	a−	a−	PROPN
ejpam-5910	159	27	1	1	NUM
ejpam-5910	159	28	,	,	PUNCT
ejpam-5910	159	29	f	f	PROPN
ejpam-5910	159	30	≥	≥	PROPN
ejpam-5910	159	31	0	0	NUM
ejpam-5910	159	32	,	,	PUNCT
ejpam-5910	159	33	qf	qf	PROPN
ejpam-5910	159	34	,	,	PUNCT
ejpam-5910	159	35	n(ℏ	n(ℏ	PROPN
ejpam-5910	159	36	,	,	PUNCT
ejpam-5910	159	37	t)dt	t)dt	PROPN
ejpam-5910	159	38	=	=	SYM
ejpam-5910	159	39	pr{nq(t	pr{nq(t	PROPN
ejpam-5910	159	40	)	)	PUNCT
ejpam-5910	159	41	=	=	SYM
ejpam-5910	159	42	n	n	CCONJ
ejpam-5910	159	43	,	,	PUNCT
ejpam-5910	159	44	ℏ	ℏ	PROPN
ejpam-5910	159	45	≤	≤	PROPN
ejpam-5910	159	46	v	v	ADP
ejpam-5910	159	47	0(t	0(t	NUM
ejpam-5910	159	48	)	)	PUNCT
ejpam-5910	159	49	≤	≤	NOUN
ejpam-5910	159	50	ℏ+	ℏ+	X
ejpam-5910	159	51	dt	dt	NOUN
ejpam-5910	159	52	,	,	PUNCT
ejpam-5910	159	53	℘(t	℘(t	PROPN
ejpam-5910	159	54	)	)	PUNCT
ejpam-5910	159	55	=	=	SYM
ejpam-5910	159	56	f	f	X
ejpam-5910	159	57	,	,	PUNCT
ejpam-5910	159	58	ϱ(t	ϱ(t	PROPN
ejpam-5910	159	59	)	)	PUNCT
ejpam-5910	159	60	=	=	PUNCT
ejpam-5910	159	61	0	0	NUM
ejpam-5910	159	62	}	}	PUNCT
ejpam-5910	159	63	,	,	PUNCT
ejpam-5910	159	64	f	f	PROPN
ejpam-5910	159	65	≥	≥	NUM
ejpam-5910	159	66	1	1	NUM
ejpam-5910	159	67	,	,	PUNCT
ejpam-5910	159	68	n	n	PRON
ejpam-5910	159	69	≥	≥	NOUN
ejpam-5910	159	70	0	0	NUM
ejpam-5910	159	71	,	,	PUNCT
ejpam-5910	159	72	rn(ℏ	rn(ℏ	X
ejpam-5910	159	73	,	,	PUNCT
ejpam-5910	159	74	t)dt	t)dt	PROPN
ejpam-5910	159	75	=	=	SYM
ejpam-5910	159	76	pr{nq(t	pr{nq(t	PROPN
ejpam-5910	159	77	)	)	PUNCT
ejpam-5910	159	78	=	=	SYM
ejpam-5910	160	1	n	n	CCONJ
ejpam-5910	160	2	,	,	PUNCT
ejpam-5910	160	3	ℏ	ℏ	PROPN
ejpam-5910	160	4	≤	≤	NOUN
ejpam-5910	160	5	r0(t	r0(t	NOUN
ejpam-5910	160	6	)	)	PUNCT
ejpam-5910	160	7	≤	≤	NOUN
ejpam-5910	160	8	ℏ+	ℏ+	X
ejpam-5910	160	9	dt	dt	NOUN
ejpam-5910	160	10	,	,	PUNCT
ejpam-5910	160	11	ϱ(t	ϱ(t	PROPN
ejpam-5910	160	12	)	)	PUNCT
ejpam-5910	160	13	=	=	PUNCT
ejpam-5910	160	14	3	3	X
ejpam-5910	160	15	}	}	PUNCT
ejpam-5910	160	16	,	,	PUNCT
ejpam-5910	160	17	n	n	X
ejpam-5910	160	18	≥	≥	NOUN
ejpam-5910	160	19	0	0	NUM
ejpam-5910	160	20	.	.	NOUN
ejpam-5910	161	1	4	4	NUM
ejpam-5910	161	2	.	.	NOUN
ejpam-5910	161	3	queue	queue	NOUN
ejpam-5910	161	4	size	size	NOUN
ejpam-5910	161	5	distribution	distribution	NOUN
ejpam-5910	161	6	queueing	queueing	NOUN
ejpam-5910	161	7	models	model	NOUN
ejpam-5910	161	8	have	have	AUX
ejpam-5910	161	9	been	be	AUX
ejpam-5910	161	10	effectively	effectively	ADV
ejpam-5910	161	11	solved	solve	VERB
ejpam-5910	161	12	by	by	ADP
ejpam-5910	161	13	using	use	VERB
ejpam-5910	161	14	the	the	DET
ejpam-5910	161	15	technique	technique	NOUN
ejpam-5910	161	16	supplementary	supplementary	ADJ
ejpam-5910	161	17	variable	variable	NOUN
ejpam-5910	161	18	,	,	PUNCT
ejpam-5910	161	19	first	first	ADV
ejpam-5910	161	20	introduced	introduce	VERB
ejpam-5910	161	21	by	by	ADP
ejpam-5910	161	22	cox	cox	PROPN
ejpam-5910	161	23	in	in	ADP
ejpam-5910	161	24	1955	1955	NUM
ejpam-5910	161	25	and	and	CCONJ
ejpam-5910	161	26	then	then	ADV
ejpam-5910	161	27	improved	improve	VERB
ejpam-5910	161	28	by	by	ADP
ejpam-5910	161	29	lee	lee	PROPN
ejpam-5910	161	30	in	in	ADP
ejpam-5910	161	31	1991	1991	NUM
ejpam-5910	161	32	.	.	PUNCT
ejpam-5910	162	1	applying	apply	VERB
ejpam-5910	162	2	this	this	DET
ejpam-5910	162	3	method	method	NOUN
ejpam-5910	162	4	to	to	ADP
ejpam-5910	162	5	the	the	DET
ejpam-5910	162	6	proposed	propose	VERB
ejpam-5910	162	7	model	model	NOUN
ejpam-5910	162	8	at	at	ADP
ejpam-5910	162	9	various	various	ADJ
ejpam-5910	162	10	epochs	epoch	NOUN
ejpam-5910	162	11	,	,	PUNCT
ejpam-5910	162	12	the	the	DET
ejpam-5910	162	13	following	follow	VERB
ejpam-5910	162	14	steady	steady	ADJ
ejpam-5910	162	15	-	-	PUNCT
ejpam-5910	162	16	state	state	NOUN
ejpam-5910	162	17	equations	equation	NOUN
ejpam-5910	162	18	are	be	AUX
ejpam-5910	162	19	as	as	SCONJ
ejpam-5910	162	20	follows	follow	VERB
ejpam-5910	162	21	:	:	PUNCT
ejpam-5910	162	22	−b	−b	INTJ
ejpam-5910	162	23	′	′	NUM
ejpam-5910	162	24	ι,0(ℏ	ι,0(ℏ	PROPN
ejpam-5910	162	25	)	)	PUNCT
ejpam-5910	162	26	=	=	SYM
ejpam-5910	162	27	−λbι,0(ℏ	−λbι,0(ℏ	NOUN
ejpam-5910	162	28	)	)	PUNCT
ejpam-5910	163	1	+	+	CCONJ
ejpam-5910	163	2	(	(	PUNCT
ejpam-5910	163	3	1−	1−	NUM
ejpam-5910	163	4	φ	φ	NUM
ejpam-5910	163	5	)	)	PUNCT
ejpam-5910	163	6	b∑	b∑	PROPN
ejpam-5910	164	1	m	m	PROPN
ejpam-5910	164	2	=	=	PROPN
ejpam-5910	164	3	a	a	DET
ejpam-5910	164	4	bm	bm	PROPN
ejpam-5910	164	5	,	,	PUNCT
ejpam-5910	164	6	ι(0)s(ℏ	ι(0)s(ℏ	PROPN
ejpam-5910	164	7	)	)	PUNCT
ejpam-5910	164	8	+	+	CCONJ
ejpam-5910	164	9	a−1∑	a−1∑	PRON
ejpam-5910	164	10	m=1	m=1	PROPN
ejpam-5910	164	11	lm	lm	PROPN
ejpam-5910	164	12	,	,	PUNCT
ejpam-5910	164	13	ι(0)s(ℏ	ι(0)s(ℏ	PROPN
ejpam-5910	164	14	)	)	PUNCT
ejpam-5910	165	1	+	+	CCONJ
ejpam-5910	166	1	∞∑	∞∑	NUM
ejpam-5910	166	2	l=1	l=1	PROPN
ejpam-5910	166	3	ql	ql	INTJ
ejpam-5910	166	4	,	,	PUNCT
ejpam-5910	166	5	ι(0)s(ℏ	ι(0)s(ℏ	PROPN
ejpam-5910	166	6	)	)	PUNCT
ejpam-5910	166	7	+	+	NOUN
ejpam-5910	166	8	rι(0)s(ℏ	rι(0)s(ℏ	NOUN
ejpam-5910	166	9	)	)	PUNCT
ejpam-5910	166	10	,	,	PUNCT
ejpam-5910	166	11	a	a	DET
ejpam-5910	166	12	≤	≤	NOUN
ejpam-5910	166	13	ι	ι	PRON
ejpam-5910	166	14	≤	≤	NUM
ejpam-5910	166	15	b	b	NOUN
ejpam-5910	166	16	,	,	PUNCT
ejpam-5910	166	17	(	(	PUNCT
ejpam-5910	166	18	1	1	X
ejpam-5910	166	19	)	)	PUNCT
ejpam-5910	166	20	−b	−b	INTJ
ejpam-5910	166	21	′	′	NUM
ejpam-5910	167	1	ι	ι	PROPN
ejpam-5910	167	2	,	,	PUNCT
ejpam-5910	167	3	f(ℏ	f(ℏ	ADJ
ejpam-5910	167	4	)	)	PUNCT
ejpam-5910	167	5	=	=	PUNCT
ejpam-5910	168	1	−λbι	−λbι	NUM
ejpam-5910	168	2	,	,	PUNCT
ejpam-5910	168	3	f(ℏ	f(ℏ	NOUN
ejpam-5910	168	4	)	)	PUNCT
ejpam-5910	169	1	+	+	CCONJ
ejpam-5910	169	2	f∑	f∑	ADJ
ejpam-5910	169	3	κ=1	κ=1	X
ejpam-5910	169	4	bι	bι	PROPN
ejpam-5910	169	5	,	,	PUNCT
ejpam-5910	169	6	f−κ(ℏ)λgκ	f−κ(ℏ)λgκ	PROPN
ejpam-5910	169	7	,	,	PUNCT
ejpam-5910	169	8	a	a	DET
ejpam-5910	169	9	≤	≤	NOUN
ejpam-5910	170	1	ι	ι	PRON
ejpam-5910	170	2	≤	≤	ADJ
ejpam-5910	170	3	b−	b−	NOUN
ejpam-5910	170	4	1	1	NUM
ejpam-5910	170	5	,	,	PUNCT
ejpam-5910	170	6	f	f	PROPN
ejpam-5910	170	7	≥	≥	NUM
ejpam-5910	170	8	1	1	NUM
ejpam-5910	170	9	,	,	PUNCT
ejpam-5910	170	10	(	(	PUNCT
ejpam-5910	170	11	2	2	X
ejpam-5910	170	12	)	)	PUNCT
ejpam-5910	170	13	−b	−b	ADP
ejpam-5910	170	14	′	′	NUM
ejpam-5910	170	15	b	b	NOUN
ejpam-5910	170	16	,	,	PUNCT
ejpam-5910	170	17	f(ℏ	f(ℏ	NOUN
ejpam-5910	170	18	)	)	PUNCT
ejpam-5910	170	19	=	=	PUNCT
ejpam-5910	170	20	−λbb	−λbb	ADJ
ejpam-5910	170	21	,	,	PUNCT
ejpam-5910	170	22	f(ℏ	f(ℏ	NOUN
ejpam-5910	170	23	)	)	PUNCT
ejpam-5910	171	1	+	+	CCONJ
ejpam-5910	171	2	(	(	PUNCT
ejpam-5910	171	3	1−	1−	NUM
ejpam-5910	171	4	φ	φ	NUM
ejpam-5910	171	5	)	)	PUNCT
ejpam-5910	171	6	b∑	b∑	PROPN
ejpam-5910	172	1	m	m	PROPN
ejpam-5910	172	2	=	=	PROPN
ejpam-5910	172	3	a	a	DET
ejpam-5910	172	4	bm	bm	PROPN
ejpam-5910	172	5	,	,	PUNCT
ejpam-5910	172	6	b+f(0)s(ℏ	b+f(0)s(ℏ	PUNCT
ejpam-5910	172	7	)	)	PUNCT
ejpam-5910	173	1	+	+	CCONJ
ejpam-5910	173	2	f∑	f∑	ADJ
ejpam-5910	173	3	κ=1	κ=1	PROPN
ejpam-5910	173	4	bb	bb	NOUN
ejpam-5910	173	5	,	,	PUNCT
ejpam-5910	173	6	f−κ(ℏ)λgκ	f−κ(ℏ)λgκ	PROPN
ejpam-5910	173	7	+	+	CCONJ
ejpam-5910	173	8	a−1∑	a−1∑	PROPN
ejpam-5910	173	9	m=1	m=1	PROPN
ejpam-5910	173	10	lm	lm	PROPN
ejpam-5910	173	11	,	,	PUNCT
ejpam-5910	173	12	b+f(0)s(ℏ	b+f(0)s(ℏ	PUNCT
ejpam-5910	173	13	)	)	PUNCT
ejpam-5910	174	1	+	+	CCONJ
ejpam-5910	174	2	∞∑	∞∑	NUM
ejpam-5910	174	3	l=1	l=1	PROPN
ejpam-5910	174	4	ql	ql	NOUN
ejpam-5910	174	5	,	,	PUNCT
ejpam-5910	174	6	b+f(0)s(ℏ	b+f(0)s(ℏ	X
ejpam-5910	174	7	)	)	PUNCT
ejpam-5910	174	8	+	+	NOUN
ejpam-5910	174	9	rb+f(0)s(ℏ	rb+f(0)s(ℏ	PROPN
ejpam-5910	174	10	)	)	PUNCT
ejpam-5910	174	11	,	,	PUNCT
ejpam-5910	174	12	f	f	PROPN
ejpam-5910	174	13	≥	≥	NUM
ejpam-5910	174	14	1	1	NUM
ejpam-5910	174	15	,	,	PUNCT
ejpam-5910	174	16	(	(	PUNCT
ejpam-5910	174	17	3	3	NUM
ejpam-5910	174	18	)	)	PUNCT
ejpam-5910	175	1	−	−	NOUN
ejpam-5910	175	2	l	l	NOUN
ejpam-5910	175	3	′	′	NUM
ejpam-5910	175	4	ι,0(ℏ	ι,0(ℏ	PROPN
ejpam-5910	175	5	)	)	PUNCT
ejpam-5910	175	6	=	=	PUNCT
ejpam-5910	175	7	−λlι,0(ℏ	−λlι,0(ℏ	NOUN
ejpam-5910	175	8	)	)	PUNCT
ejpam-5910	175	9	+	+	CCONJ
ejpam-5910	175	10	a−1∑	a−1∑	PRON
ejpam-5910	175	11	m=1	m=1	PROPN
ejpam-5910	175	12	lm	lm	PROPN
ejpam-5910	175	13	,	,	PUNCT
ejpam-5910	175	14	i(0)c(ℏ	i(0)c(ℏ	PROPN
ejpam-5910	175	15	)	)	PUNCT
ejpam-5910	175	16	+	+	CCONJ
ejpam-5910	175	17	(	(	PUNCT
ejpam-5910	175	18	1−	1−	NUM
ejpam-5910	175	19	φ	φ	NUM
ejpam-5910	175	20	)	)	PUNCT
ejpam-5910	175	21	b∑	b∑	PROPN
ejpam-5910	176	1	m	m	PROPN
ejpam-5910	176	2	=	=	PROPN
ejpam-5910	176	3	a	a	DET
ejpam-5910	176	4	bm	bm	PROPN
ejpam-5910	176	5	,	,	PUNCT
ejpam-5910	176	6	ι(0)c(ℏ	ι(0)c(ℏ	PROPN
ejpam-5910	176	7	)	)	PUNCT
ejpam-5910	177	1	+	+	NOUN
ejpam-5910	177	2	rι(0)c(ℏ	rι(0)c(ℏ	PROPN
ejpam-5910	177	3	)	)	PUNCT
ejpam-5910	177	4	,	,	PUNCT
ejpam-5910	177	5	1	1	NUM
ejpam-5910	177	6	≤	≤	NUM
ejpam-5910	177	7	ι	ι	PRON
ejpam-5910	177	8	≤	≤	ADJ
ejpam-5910	177	9	a−	a−	PROPN
ejpam-5910	177	10	1	1	NUM
ejpam-5910	177	11	,	,	PUNCT
ejpam-5910	177	12	(	(	PUNCT
ejpam-5910	177	13	4	4	NUM
ejpam-5910	177	14	)	)	PUNCT
ejpam-5910	177	15	−	−	NOUN
ejpam-5910	178	1	l	l	NOUN
ejpam-5910	178	2	′	′	NUM
ejpam-5910	179	1	ι	ι	X
ejpam-5910	179	2	,	,	PUNCT
ejpam-5910	179	3	f(ℏ	f(ℏ	ADJ
ejpam-5910	179	4	)	)	PUNCT
ejpam-5910	179	5	=	=	SYM
ejpam-5910	180	1	−λlι	−λlι	NOUN
ejpam-5910	180	2	,	,	PUNCT
ejpam-5910	180	3	f(ℏ	f(ℏ	NOUN
ejpam-5910	180	4	)	)	PUNCT
ejpam-5910	181	1	+	+	CCONJ
ejpam-5910	181	2	f∑	f∑	ADJ
ejpam-5910	181	3	κ=1	κ=1	ADJ
ejpam-5910	181	4	lι	lι	PROPN
ejpam-5910	181	5	,	,	PUNCT
ejpam-5910	181	6	f−κ(ℏ)λgκ	f−κ(ℏ)λgκ	PROPN
ejpam-5910	181	7	,	,	PUNCT
ejpam-5910	181	8	1	1	NUM
ejpam-5910	181	9	≤	≤	NUM
ejpam-5910	181	10	ι	ι	PRON
ejpam-5910	181	11	≤	≤	ADJ
ejpam-5910	181	12	a−	a−	PROPN
ejpam-5910	181	13	1	1	NUM
ejpam-5910	181	14	,	,	PUNCT
ejpam-5910	181	15	f	f	PROPN
ejpam-5910	181	16	≥	≥	NUM
ejpam-5910	181	17	1	1	NUM
ejpam-5910	181	18	,	,	PUNCT
ejpam-5910	181	19	(	(	PUNCT
ejpam-5910	181	20	5	5	NUM
ejpam-5910	181	21	)	)	PUNCT
ejpam-5910	181	22	karpagam	karpagam	PROPN
ejpam-5910	181	23	s	s	PROPN
ejpam-5910	181	24	,	,	PUNCT
ejpam-5910	181	25	aarthy	aarthy	ADJ
ejpam-5910	181	26	n	n	CCONJ
ejpam-5910	181	27	,	,	PUNCT
ejpam-5910	182	1	g.	g.	PROPN
ejpam-5910	182	2	k.	k.	PROPN
ejpam-5910	182	3	gupta	gupta	PROPN
ejpam-5910	182	4	/	/	SYM
ejpam-5910	182	5	eur	eur	PROPN
ejpam-5910	182	6	.	.	PUNCT
ejpam-5910	183	1	j.	j.	PROPN
ejpam-5910	183	2	pure	pure	PROPN
ejpam-5910	183	3	appl	appl	PROPN
ejpam-5910	183	4	.	.	PROPN
ejpam-5910	183	5	math	math	PROPN
ejpam-5910	183	6	,	,	PUNCT
ejpam-5910	183	7	18	18	NUM
ejpam-5910	183	8	(	(	PUNCT
ejpam-5910	183	9	3	3	NUM
ejpam-5910	183	10	)	)	PUNCT
ejpam-5910	183	11	(	(	PUNCT
ejpam-5910	183	12	2025	2025	NUM
ejpam-5910	183	13	)	)	PUNCT
ejpam-5910	183	14	,	,	PUNCT
ejpam-5910	183	15	5910	5910	NUM
ejpam-5910	183	16	8	8	NUM
ejpam-5910	183	17	of	of	ADP
ejpam-5910	183	18	28	28	NUM
ejpam-5910	183	19	−r	−r	ADJ
ejpam-5910	183	20	′	′	NUM
ejpam-5910	183	21	0(ℏ	0(ℏ	NOUN
ejpam-5910	183	22	)	)	PUNCT
ejpam-5910	183	23	=	=	SYM
ejpam-5910	183	24	−λr0(ℏ	−λr0(ℏ	NOUN
ejpam-5910	183	25	)	)	PUNCT
ejpam-5910	183	26	+	+	CCONJ
ejpam-5910	183	27	φ	φ	PROPN
ejpam-5910	183	28	b∑	b∑	PROPN
ejpam-5910	183	29	m	m	PROPN
ejpam-5910	183	30	=	=	PROPN
ejpam-5910	183	31	a	a	DET
ejpam-5910	183	32	bm,0(0)r(ℏ	bm,0(0)r(ℏ	PROPN
ejpam-5910	183	33	)	)	PUNCT
ejpam-5910	183	34	,	,	PUNCT
ejpam-5910	183	35	(	(	PUNCT
ejpam-5910	183	36	6	6	X
ejpam-5910	183	37	)	)	PUNCT
ejpam-5910	183	38	−r	−r	ADJ
ejpam-5910	183	39	′	′	NUM
ejpam-5910	183	40	n(ℏ	n(ℏ	PROPN
ejpam-5910	183	41	)	)	PUNCT
ejpam-5910	183	42	=	=	SYM
ejpam-5910	183	43	−λrn(ℏ	−λrn(ℏ	PROPN
ejpam-5910	183	44	)	)	PUNCT
ejpam-5910	184	1	+	+	CCONJ
ejpam-5910	184	2	n∑	n∑	ADP
ejpam-5910	184	3	κ=1	κ=1	X
ejpam-5910	184	4	rn−κ(ℏ)λgκ	rn−κ(ℏ)λgκ	PUNCT
ejpam-5910	185	1	+	+	CCONJ
ejpam-5910	185	2	φ	φ	PROPN
ejpam-5910	185	3	b∑	b∑	PROPN
ejpam-5910	185	4	m	m	PROPN
ejpam-5910	185	5	=	=	PROPN
ejpam-5910	185	6	a	a	DET
ejpam-5910	185	7	bm	bm	PROPN
ejpam-5910	185	8	,	,	PUNCT
ejpam-5910	185	9	n(0)r(ℏ	n(0)r(ℏ	NUM
ejpam-5910	185	10	)	)	PUNCT
ejpam-5910	185	11	,	,	PUNCT
ejpam-5910	185	12	n	n	PRON
ejpam-5910	185	13	≥	≥	NOUN
ejpam-5910	185	14	1	1	NUM
ejpam-5910	185	15	,	,	PUNCT
ejpam-5910	185	16	(	(	PUNCT
ejpam-5910	185	17	7	7	X
ejpam-5910	185	18	)	)	PUNCT
ejpam-5910	185	19	−q	−q	ADJ
ejpam-5910	185	20	′	′	NUM
ejpam-5910	185	21	1,0(ℏ	1,0(ℏ	NUM
ejpam-5910	185	22	)	)	PUNCT
ejpam-5910	185	23	=	=	PUNCT
ejpam-5910	185	24	−λq1,0(ℏ	−λq1,0(ℏ	NOUN
ejpam-5910	185	25	)	)	PUNCT
ejpam-5910	186	1	+	+	CCONJ
ejpam-5910	186	2	(	(	PUNCT
ejpam-5910	186	3	1−	1−	NUM
ejpam-5910	186	4	φ	φ	NUM
ejpam-5910	186	5	)	)	PUNCT
ejpam-5910	186	6	b∑	b∑	PROPN
ejpam-5910	187	1	m	m	PROPN
ejpam-5910	187	2	=	=	NOUN
ejpam-5910	187	3	a	a	DET
ejpam-5910	187	4	bm,0(0)v(ℏ	bm,0(0)v(ℏ	NOUN
ejpam-5910	187	5	)	)	PUNCT
ejpam-5910	188	1	+	+	CCONJ
ejpam-5910	188	2	a−1∑	a−1∑	PRON
ejpam-5910	188	3	m=1	m=1	PROPN
ejpam-5910	188	4	lm,0(0)v(ℏ	lm,0(0)v(ℏ	NOUN
ejpam-5910	188	5	)	)	PUNCT
ejpam-5910	188	6	+	+	NOUN
ejpam-5910	188	7	r0(0)v(ℏ	r0(0)v(ℏ	NOUN
ejpam-5910	188	8	)	)	PUNCT
ejpam-5910	188	9	,	,	PUNCT
ejpam-5910	188	10	(	(	PUNCT
ejpam-5910	188	11	8)	8)	NUM
ejpam-5910	188	12	−q	−q	ADJ
ejpam-5910	188	13	′	′	NUM
ejpam-5910	188	14	1,n(ℏ	1,n(ℏ	NUM
ejpam-5910	188	15	)	)	PUNCT
ejpam-5910	189	1	=	=	SYM
ejpam-5910	189	2	−λq1,n(ℏ	−λq1,n(ℏ	PROPN
ejpam-5910	189	3	)	)	PUNCT
ejpam-5910	190	1	+	+	NUM
ejpam-5910	190	2	n∑	n∑	ADP
ejpam-5910	190	3	κ=1	κ=1	NOUN
ejpam-5910	190	4	q1,n−κ(ℏ)λgκ	q1,n−κ(ℏ)λgκ	VERB
ejpam-5910	190	5	,	,	PUNCT
ejpam-5910	190	6	n	n	PRON
ejpam-5910	190	7	≥	≥	NOUN
ejpam-5910	190	8	1	1	NUM
ejpam-5910	190	9	,	,	PUNCT
ejpam-5910	190	10	(	(	PUNCT
ejpam-5910	190	11	9	9	X
ejpam-5910	190	12	)	)	PUNCT
ejpam-5910	190	13	−q	−q	ADJ
ejpam-5910	190	14	′	′	NUM
ejpam-5910	190	15	f,0(ℏ	f,0(ℏ	NOUN
ejpam-5910	190	16	)	)	PUNCT
ejpam-5910	190	17	=	=	SYM
ejpam-5910	190	18	−λqf,0(ℏ	−λqf,0(ℏ	NOUN
ejpam-5910	190	19	)	)	PUNCT
ejpam-5910	191	1	+	+	NOUN
ejpam-5910	191	2	qf−1,0(0)v(ℏ	qf−1,0(0)v(ℏ	NOUN
ejpam-5910	191	3	)	)	PUNCT
ejpam-5910	191	4	,	,	PUNCT
ejpam-5910	191	5	f	f	PROPN
ejpam-5910	191	6	≥	≥	NUM
ejpam-5910	191	7	2	2	NUM
ejpam-5910	191	8	,	,	PUNCT
ejpam-5910	191	9	(	(	PUNCT
ejpam-5910	191	10	10	10	NUM
ejpam-5910	191	11	)	)	PUNCT
ejpam-5910	191	12	−q	−q	NOUN
ejpam-5910	191	13	′	′	NUM
ejpam-5910	191	14	f	f	NUM
ejpam-5910	191	15	,	,	PUNCT
ejpam-5910	191	16	n(ℏ	n(ℏ	PROPN
ejpam-5910	191	17	)	)	PUNCT
ejpam-5910	191	18	=	=	PUNCT
ejpam-5910	192	1	−λqf	−λqf	ADV
ejpam-5910	192	2	,	,	PUNCT
ejpam-5910	192	3	n(ℏ	n(ℏ	PROPN
ejpam-5910	192	4	)	)	PUNCT
ejpam-5910	192	5	+	+	NOUN
ejpam-5910	192	6	qf−1,n(0)v(ℏ	qf−1,n(0)v(ℏ	NOUN
ejpam-5910	192	7	)	)	PUNCT
ejpam-5910	192	8	+	+	NUM
ejpam-5910	192	9	n∑	n∑	CCONJ
ejpam-5910	192	10	κ=1	κ=1	PROPN
ejpam-5910	192	11	qf	qf	PROPN
ejpam-5910	192	12	,	,	PUNCT
ejpam-5910	192	13	n−κ(ℏ)λgκ	n−κ(ℏ)λgκ	PROPN
ejpam-5910	192	14	,	,	PUNCT
ejpam-5910	192	15	f	f	PROPN
ejpam-5910	192	16	≥	≥	NUM
ejpam-5910	192	17	2	2	NUM
ejpam-5910	192	18	,	,	PUNCT
ejpam-5910	192	19	1	1	NUM
ejpam-5910	192	20	≤	≤	NUM
ejpam-5910	192	21	n	n	PRON
ejpam-5910	192	22	≤	≤	NOUN
ejpam-5910	192	23	a−	a−	PROPN
ejpam-5910	192	24	1	1	NUM
ejpam-5910	192	25	,	,	PUNCT
ejpam-5910	192	26	(	(	PUNCT
ejpam-5910	192	27	11	11	NUM
ejpam-5910	192	28	)	)	PUNCT
ejpam-5910	192	29	−q	−q	NOUN
ejpam-5910	192	30	′	′	NUM
ejpam-5910	192	31	f	f	NUM
ejpam-5910	192	32	,	,	PUNCT
ejpam-5910	192	33	n(ℏ	n(ℏ	PROPN
ejpam-5910	192	34	)	)	PUNCT
ejpam-5910	192	35	=	=	PUNCT
ejpam-5910	193	1	−λqf	−λqf	ADV
ejpam-5910	193	2	,	,	PUNCT
ejpam-5910	193	3	n(ℏ	n(ℏ	PROPN
ejpam-5910	193	4	)	)	PUNCT
ejpam-5910	193	5	+	+	NUM
ejpam-5910	193	6	n∑	n∑	CCONJ
ejpam-5910	193	7	κ=1	κ=1	PROPN
ejpam-5910	193	8	qf	qf	PROPN
ejpam-5910	193	9	,	,	PUNCT
ejpam-5910	193	10	n−κ(ℏ)λgκ	n−κ(ℏ)λgκ	PROPN
ejpam-5910	193	11	,	,	PUNCT
ejpam-5910	193	12	f	f	PROPN
ejpam-5910	193	13	≥	≥	NUM
ejpam-5910	193	14	2	2	NUM
ejpam-5910	193	15	,	,	PUNCT
ejpam-5910	193	16	n	n	PRON
ejpam-5910	193	17	≥	≥	NOUN
ejpam-5910	193	18	a.	a.	NOUN
ejpam-5910	193	19	(	(	PUNCT
ejpam-5910	193	20	12	12	NUM
ejpam-5910	193	21	)	)	PUNCT
ejpam-5910	193	22	equations	equation	NOUN
ejpam-5910	193	23	(	(	PUNCT
ejpam-5910	193	24	1)–(12	1)–(12	NUM
ejpam-5910	193	25	)	)	PUNCT
ejpam-5910	193	26	are	be	AUX
ejpam-5910	193	27	treated	treat	VERB
ejpam-5910	193	28	on	on	ADP
ejpam-5910	193	29	both	both	DET
ejpam-5910	193	30	sides	side	NOUN
ejpam-5910	193	31	by	by	ADP
ejpam-5910	193	32	the	the	DET
ejpam-5910	193	33	laplace	laplace	NOUN
ejpam-5910	193	34	-	-	PUNCT
ejpam-5910	193	35	stieltjes	stieltjes	NOUN
ejpam-5910	193	36	transform	transform	NOUN
ejpam-5910	193	37	,	,	PUNCT
ejpam-5910	193	38	and	and	CCONJ
ejpam-5910	193	39	we	we	PRON
ejpam-5910	193	40	obtain	obtain	VERB
ejpam-5910	193	41	ϑb̃ι,0(ϑ)−bι,0(0	ϑb̃ι,0(ϑ)−bι,0(0	ADV
ejpam-5910	193	42	)	)	PUNCT
ejpam-5910	193	43	=	=	SYM
ejpam-5910	193	44	λb̃ι,0(ϑ)−	λb̃ι,0(ϑ)−	PROPN
ejpam-5910	193	45	(	(	PUNCT
ejpam-5910	193	46	1−	1−	NUM
ejpam-5910	193	47	φ	φ	NUM
ejpam-5910	193	48	)	)	PUNCT
ejpam-5910	193	49	b∑	b∑	PROPN
ejpam-5910	194	1	m	m	PROPN
ejpam-5910	194	2	=	=	PROPN
ejpam-5910	194	3	a	a	DET
ejpam-5910	194	4	bm	bm	PROPN
ejpam-5910	194	5	,	,	PUNCT
ejpam-5910	194	6	ι(0)s̃(ϑ)−	ι(0)s̃(ϑ)−	PROPN
ejpam-5910	194	7	a−1∑	a−1∑	PROPN
ejpam-5910	194	8	m=1	m=1	PROPN
ejpam-5910	194	9	lm	lm	PROPN
ejpam-5910	194	10	,	,	PUNCT
ejpam-5910	194	11	ι(0)s̃(ϑ	ι(0)s̃(ϑ	NOUN
ejpam-5910	194	12	)	)	PUNCT
ejpam-5910	194	13	−	−	PROPN
ejpam-5910	195	1	∞∑	∞∑	NUM
ejpam-5910	195	2	l=1	l=1	PROPN
ejpam-5910	195	3	ql	ql	NOUN
ejpam-5910	195	4	,	,	PUNCT
ejpam-5910	195	5	ι(0)s̃(ϑ)−rι(0)s̃(ϑ	ι(0)s̃(ϑ)−rι(0)s̃(ϑ	NOUN
ejpam-5910	195	6	)	)	PUNCT
ejpam-5910	195	7	,	,	PUNCT
ejpam-5910	195	8	a	a	DET
ejpam-5910	195	9	≤	≤	NOUN
ejpam-5910	195	10	ι	ι	PRON
ejpam-5910	195	11	≤	≤	NUM
ejpam-5910	195	12	b	b	NOUN
ejpam-5910	195	13	,	,	PUNCT
ejpam-5910	195	14	(	(	PUNCT
ejpam-5910	195	15	13	13	NUM
ejpam-5910	195	16	)	)	PUNCT
ejpam-5910	195	17	ϑb̃ι	ϑb̃ι	NOUN
ejpam-5910	195	18	,	,	PUNCT
ejpam-5910	195	19	f(ϑ)−bι	f(ϑ)−bι	NOUN
ejpam-5910	195	20	,	,	PUNCT
ejpam-5910	195	21	f(0	f(0	NOUN
ejpam-5910	195	22	)	)	PUNCT
ejpam-5910	195	23	=	=	SYM
ejpam-5910	195	24	λb̃ι	λb̃ι	PROPN
ejpam-5910	195	25	,	,	PUNCT
ejpam-5910	195	26	f(ϑ)−	f(ϑ)−	PROPN
ejpam-5910	195	27	f∑	f∑	PROPN
ejpam-5910	195	28	κ=1	κ=1	PUNCT
ejpam-5910	195	29	b̃ι	b̃ι	NOUN
ejpam-5910	195	30	,	,	PUNCT
ejpam-5910	195	31	f−κ(ϑ)λgκ	f−κ(ϑ)λgκ	PROPN
ejpam-5910	195	32	,	,	PUNCT
ejpam-5910	195	33	a	a	DET
ejpam-5910	195	34	≤	≤	NOUN
ejpam-5910	195	35	ι	ι	PRON
ejpam-5910	195	36	≤	≤	ADJ
ejpam-5910	195	37	b−	b−	NOUN
ejpam-5910	195	38	1	1	NUM
ejpam-5910	195	39	,	,	PUNCT
ejpam-5910	195	40	f	f	PROPN
ejpam-5910	195	41	≥	≥	NUM
ejpam-5910	195	42	1	1	NUM
ejpam-5910	195	43	,	,	PUNCT
ejpam-5910	195	44	(	(	PUNCT
ejpam-5910	195	45	14	14	NUM
ejpam-5910	195	46	)	)	PUNCT
ejpam-5910	195	47	ϑb̃b	ϑb̃b	PROPN
ejpam-5910	195	48	,	,	PUNCT
ejpam-5910	195	49	f(ϑ)−bb	f(ϑ)−bb	NOUN
ejpam-5910	195	50	,	,	PUNCT
ejpam-5910	195	51	f(0	f(0	NOUN
ejpam-5910	195	52	)	)	PUNCT
ejpam-5910	195	53	=	=	SYM
ejpam-5910	196	1	λb̃b	λb̃b	PROPN
ejpam-5910	196	2	,	,	PUNCT
ejpam-5910	196	3	f(ϑ)−	f(ϑ)−	PROPN
ejpam-5910	196	4	(	(	PUNCT
ejpam-5910	196	5	1−	1−	NUM
ejpam-5910	196	6	φ	φ	NUM
ejpam-5910	196	7	)	)	PUNCT
ejpam-5910	196	8	b∑	b∑	PROPN
ejpam-5910	196	9	m	m	PROPN
ejpam-5910	196	10	=	=	PROPN
ejpam-5910	196	11	a	a	DET
ejpam-5910	196	12	bm	bm	PROPN
ejpam-5910	196	13	,	,	PUNCT
ejpam-5910	196	14	b+f(0)s̃(ϑ)−	b+f(0)s̃(ϑ)−	PROPN
ejpam-5910	196	15	f∑	f∑	ADJ
ejpam-5910	196	16	κ=1	κ=1	PUNCT
ejpam-5910	196	17	b̃b	b̃b	NOUN
ejpam-5910	196	18	,	,	PUNCT
ejpam-5910	196	19	f−κ(ϑ)λgκ	f−κ(ϑ)λgκ	PROPN
ejpam-5910	196	20	−	−	PROPN
ejpam-5910	196	21	a−1∑	a−1∑	PROPN
ejpam-5910	196	22	m=1	m=1	PROPN
ejpam-5910	196	23	lm	lm	PROPN
ejpam-5910	196	24	,	,	PUNCT
ejpam-5910	196	25	b+f(0)s̃(ϑ)−	b+f(0)s̃(ϑ)−	PROPN
ejpam-5910	197	1	∞∑	∞∑	NUM
ejpam-5910	197	2	l=1	l=1	PROPN
ejpam-5910	197	3	ql	ql	NOUN
ejpam-5910	197	4	,	,	PUNCT
ejpam-5910	197	5	b+f(0)s̃(ϑ)−rb+f(0)s̃(ϑ	b+f(0)s̃(ϑ)−rb+f(0)s̃(ϑ	NOUN
ejpam-5910	197	6	)	)	PUNCT
ejpam-5910	197	7	,	,	PUNCT
ejpam-5910	197	8	f	f	PROPN
ejpam-5910	197	9	≥	≥	NUM
ejpam-5910	197	10	1	1	NUM
ejpam-5910	197	11	,	,	PUNCT
ejpam-5910	197	12	(	(	PUNCT
ejpam-5910	197	13	15	15	NUM
ejpam-5910	197	14	)	)	PUNCT
ejpam-5910	197	15	ϑl̃ι,0(ϑ)−	ϑl̃ι,0(ϑ)−	PROPN
ejpam-5910	197	16	lι,0(0	lι,0(0	PROPN
ejpam-5910	197	17	)	)	PUNCT
ejpam-5910	197	18	=	=	PUNCT
ejpam-5910	198	1	λl̃ι,0(ϑ)−	λl̃ι,0(ϑ)−	PROPN
ejpam-5910	198	2	a−1∑	a−1∑	PRON
ejpam-5910	198	3	m=1	m=1	PROPN
ejpam-5910	198	4	lm	lm	PROPN
ejpam-5910	198	5	,	,	PUNCT
ejpam-5910	198	6	ι(0)c̃(ϑ)−	ι(0)c̃(ϑ)−	PROPN
ejpam-5910	198	7	(	(	PUNCT
ejpam-5910	198	8	1−	1−	NUM
ejpam-5910	198	9	φ	φ	NUM
ejpam-5910	198	10	)	)	PUNCT
ejpam-5910	199	1	b∑	b∑	PROPN
ejpam-5910	200	1	m	m	PROPN
ejpam-5910	200	2	=	=	PROPN
ejpam-5910	200	3	a	a	DET
ejpam-5910	200	4	bm	bm	PROPN
ejpam-5910	200	5	,	,	PUNCT
ejpam-5910	200	6	ι(0)c̃(ϑ	ι(0)c̃(ϑ	NOUN
ejpam-5910	200	7	)	)	PUNCT
ejpam-5910	200	8	−rι(0)c̃(ϑ	−rι(0)c̃(ϑ	NOUN
ejpam-5910	200	9	)	)	PUNCT
ejpam-5910	200	10	,	,	PUNCT
ejpam-5910	200	11	1	1	NUM
ejpam-5910	200	12	≤	≤	NUM
ejpam-5910	200	13	ι	ι	PRON
ejpam-5910	200	14	≤	≤	ADJ
ejpam-5910	200	15	a−	a−	PROPN
ejpam-5910	200	16	1	1	NUM
ejpam-5910	200	17	,	,	PUNCT
ejpam-5910	200	18	(	(	PUNCT
ejpam-5910	200	19	16	16	NUM
ejpam-5910	200	20	)	)	PUNCT
ejpam-5910	200	21	ϑl̃ι	ϑl̃ι	PROPN
ejpam-5910	200	22	,	,	PUNCT
ejpam-5910	200	23	f(ϑ)−	f(ϑ)−	PROPN
ejpam-5910	200	24	lι	lι	PROPN
ejpam-5910	200	25	,	,	PUNCT
ejpam-5910	200	26	f(0	f(0	NOUN
ejpam-5910	200	27	)	)	PUNCT
ejpam-5910	200	28	=	=	SYM
ejpam-5910	201	1	λl̃ι	λl̃ι	PROPN
ejpam-5910	201	2	,	,	PUNCT
ejpam-5910	201	3	f(ϑ)−	f(ϑ)−	PROPN
ejpam-5910	201	4	f∑	f∑	PROPN
ejpam-5910	201	5	κ=1	κ=1	PUNCT
ejpam-5910	201	6	l̃ι	l̃ι	PROPN
ejpam-5910	201	7	,	,	PUNCT
ejpam-5910	201	8	f−κ(ϑ)λgκ	f−κ(ϑ)λgκ	PROPN
ejpam-5910	201	9	,	,	PUNCT
ejpam-5910	201	10	1	1	NUM
ejpam-5910	201	11	≤	≤	NUM
ejpam-5910	201	12	ι	ι	PRON
ejpam-5910	201	13	≤	≤	ADJ
ejpam-5910	201	14	a−	a−	PROPN
ejpam-5910	201	15	1	1	NUM
ejpam-5910	201	16	,	,	PUNCT
ejpam-5910	201	17	f	f	PROPN
ejpam-5910	201	18	≥	≥	NUM
ejpam-5910	201	19	1	1	NUM
ejpam-5910	201	20	,	,	PUNCT
ejpam-5910	201	21	(	(	PUNCT
ejpam-5910	201	22	17	17	NUM
ejpam-5910	201	23	)	)	PUNCT
ejpam-5910	201	24	karpagam	karpagam	PROPN
ejpam-5910	201	25	s	s	PROPN
ejpam-5910	201	26	,	,	PUNCT
ejpam-5910	201	27	aarthy	aarthy	ADJ
ejpam-5910	201	28	n	n	CCONJ
ejpam-5910	201	29	,	,	PUNCT
ejpam-5910	202	1	g.	g.	PROPN
ejpam-5910	202	2	k.	k.	PROPN
ejpam-5910	202	3	gupta	gupta	PROPN
ejpam-5910	202	4	/	/	SYM
ejpam-5910	202	5	eur	eur	PROPN
ejpam-5910	202	6	.	.	PUNCT
ejpam-5910	203	1	j.	j.	PROPN
ejpam-5910	203	2	pure	pure	PROPN
ejpam-5910	203	3	appl	appl	PROPN
ejpam-5910	203	4	.	.	PROPN
ejpam-5910	203	5	math	math	PROPN
ejpam-5910	203	6	,	,	PUNCT
ejpam-5910	203	7	18	18	NUM
ejpam-5910	203	8	(	(	PUNCT
ejpam-5910	203	9	3	3	NUM
ejpam-5910	203	10	)	)	PUNCT
ejpam-5910	203	11	(	(	PUNCT
ejpam-5910	203	12	2025	2025	NUM
ejpam-5910	203	13	)	)	PUNCT
ejpam-5910	203	14	,	,	PUNCT
ejpam-5910	203	15	5910	5910	NUM
ejpam-5910	203	16	9	9	NUM
ejpam-5910	203	17	of	of	ADP
ejpam-5910	203	18	28	28	NUM
ejpam-5910	203	19	ϑr̃0(ϑ)−r0(0	ϑr̃0(ϑ)−r0(0	NOUN
ejpam-5910	203	20	)	)	PUNCT
ejpam-5910	203	21	=	=	SYM
ejpam-5910	204	1	λr̃0(ϑ)−	λr̃0(ϑ)−	PROPN
ejpam-5910	204	2	φ	φ	PROPN
ejpam-5910	204	3	b∑	b∑	PROPN
ejpam-5910	204	4	m	m	PROPN
ejpam-5910	204	5	=	=	NOUN
ejpam-5910	204	6	a	a	DET
ejpam-5910	204	7	bm,0(0)r̃(ϑ	bm,0(0)r̃(ϑ	NOUN
ejpam-5910	204	8	)	)	PUNCT
ejpam-5910	204	9	,	,	PUNCT
ejpam-5910	204	10	(	(	PUNCT
ejpam-5910	204	11	18	18	NUM
ejpam-5910	204	12	)	)	PUNCT
ejpam-5910	204	13	ϑr̃n(ϑ)−rn(0	ϑr̃n(ϑ)−rn(0	NOUN
ejpam-5910	204	14	)	)	PUNCT
ejpam-5910	204	15	=	=	PUNCT
ejpam-5910	205	1	λr̃n(ϑ)−	λr̃n(ϑ)−	PROPN
ejpam-5910	205	2	n∑	n∑	NOUN
ejpam-5910	205	3	κ=1	κ=1	PROPN
ejpam-5910	205	4	r̃n−κ(ϑ)λgκ	r̃n−κ(ϑ)λgκ	NOUN
ejpam-5910	205	5	−	−	PROPN
ejpam-5910	205	6	φ	φ	PROPN
ejpam-5910	205	7	b∑	b∑	PROPN
ejpam-5910	205	8	m	m	PROPN
ejpam-5910	205	9	=	=	PROPN
ejpam-5910	205	10	a	a	DET
ejpam-5910	205	11	bm	bm	PROPN
ejpam-5910	205	12	,	,	PUNCT
ejpam-5910	205	13	n(0)r̃(ϑ	n(0)r̃(ϑ	NOUN
ejpam-5910	205	14	)	)	PUNCT
ejpam-5910	205	15	,	,	PUNCT
ejpam-5910	205	16	n	n	PRON
ejpam-5910	205	17	≥	≥	NOUN
ejpam-5910	205	18	1	1	NUM
ejpam-5910	205	19	,	,	PUNCT
ejpam-5910	205	20	(	(	PUNCT
ejpam-5910	205	21	19	19	NUM
ejpam-5910	205	22	)	)	PUNCT
ejpam-5910	205	23	ϑq̃1,0(ϑ)−q1,0(0	ϑq̃1,0(ϑ)−q1,0(0	NOUN
ejpam-5910	205	24	)	)	PUNCT
ejpam-5910	206	1	=	=	SYM
ejpam-5910	207	1	λq̃1,0(ϑ)−	λq̃1,0(ϑ)−	PROPN
ejpam-5910	207	2	(	(	PUNCT
ejpam-5910	207	3	1−	1−	NUM
ejpam-5910	207	4	φ	φ	NUM
ejpam-5910	207	5	)	)	PUNCT
ejpam-5910	207	6	b∑	b∑	PROPN
ejpam-5910	207	7	m	m	PROPN
ejpam-5910	207	8	=	=	NOUN
ejpam-5910	207	9	a	a	DET
ejpam-5910	207	10	bm,0(0)ṽ	bm,0(0)ṽ	NOUN
ejpam-5910	207	11	(	(	PUNCT
ejpam-5910	207	12	ϑ)−	ϑ)−	PROPN
ejpam-5910	207	13	a−1∑	a−1∑	PROPN
ejpam-5910	207	14	m=1	m=1	PROPN
ejpam-5910	207	15	lm,0(0)ṽ	lm,0(0)ṽ	X
ejpam-5910	207	16	(	(	PUNCT
ejpam-5910	207	17	ϑ	ϑ	NOUN
ejpam-5910	207	18	)	)	PUNCT
ejpam-5910	207	19	−r0(0)ṽ	−r0(0)ṽ	PROPN
ejpam-5910	207	20	(	(	PUNCT
ejpam-5910	207	21	ϑ	ϑ	NOUN
ejpam-5910	207	22	)	)	PUNCT
ejpam-5910	207	23	,	,	PUNCT
ejpam-5910	207	24	(	(	PUNCT
ejpam-5910	207	25	20	20	NUM
ejpam-5910	207	26	)	)	PUNCT
ejpam-5910	207	27	ϑq̃1,n(ϑ)−q1,n(0	ϑq̃1,n(ϑ)−q1,n(0	PROPN
ejpam-5910	207	28	)	)	PUNCT
ejpam-5910	207	29	=	=	PUNCT
ejpam-5910	208	1	λq̃1,n(ϑ)−	λq̃1,n(ϑ)−	PROPN
ejpam-5910	208	2	n∑	n∑	NOUN
ejpam-5910	208	3	κ=1	κ=1	PROPN
ejpam-5910	208	4	q̃1,n−κ(ϑ)λgκ	q̃1,n−κ(ϑ)λgκ	NOUN
ejpam-5910	208	5	,	,	PUNCT
ejpam-5910	208	6	n	n	PRON
ejpam-5910	208	7	≥	≥	NOUN
ejpam-5910	208	8	1	1	NUM
ejpam-5910	208	9	,	,	PUNCT
ejpam-5910	208	10	(	(	PUNCT
ejpam-5910	208	11	21	21	NUM
ejpam-5910	208	12	)	)	PUNCT
ejpam-5910	208	13	ϑq̃f,0(ϑ)−qf,0(0	ϑq̃f,0(ϑ)−qf,0(0	NOUN
ejpam-5910	208	14	)	)	PUNCT
ejpam-5910	209	1	=	=	SYM
ejpam-5910	209	2	λq̃f,0(ϑ)−qf−1,0(0)ṽ	λq̃f,0(ϑ)−qf−1,0(0)ṽ	NOUN
ejpam-5910	209	3	(	(	PUNCT
ejpam-5910	209	4	ϑ	ϑ	NOUN
ejpam-5910	209	5	)	)	PUNCT
ejpam-5910	209	6	,	,	PUNCT
ejpam-5910	209	7	f	f	PROPN
ejpam-5910	209	8	≥	≥	NUM
ejpam-5910	209	9	2	2	NUM
ejpam-5910	209	10	,	,	PUNCT
ejpam-5910	209	11	(	(	PUNCT
ejpam-5910	209	12	22	22	NUM
ejpam-5910	209	13	)	)	PUNCT
ejpam-5910	209	14	ϑq̃f	ϑq̃f	PROPN
ejpam-5910	209	15	,	,	PUNCT
ejpam-5910	209	16	n(ϑ)−qf	n(ϑ)−qf	PROPN
ejpam-5910	209	17	,	,	PUNCT
ejpam-5910	209	18	n(0	n(0	PROPN
ejpam-5910	209	19	)	)	PUNCT
ejpam-5910	209	20	=	=	SYM
ejpam-5910	209	21	λq̃f	λq̃f	PROPN
ejpam-5910	209	22	,	,	PUNCT
ejpam-5910	209	23	n(ϑ)−qf−1,n(0)ṽ	n(ϑ)−qf−1,n(0)ṽ	PROPN
ejpam-5910	209	24	(	(	PUNCT
ejpam-5910	209	25	ϑ)−	ϑ)−	PROPN
ejpam-5910	209	26	n∑	n∑	PROPN
ejpam-5910	209	27	κ=1	κ=1	PROPN
ejpam-5910	209	28	q̃f	q̃f	ADV
ejpam-5910	209	29	,	,	PUNCT
ejpam-5910	209	30	n−κ(ϑ)λgκ	n−κ(ϑ)λgκ	PROPN
ejpam-5910	209	31	,	,	PUNCT
ejpam-5910	209	32	f	f	PROPN
ejpam-5910	209	33	≥	≥	NUM
ejpam-5910	209	34	2	2	NUM
ejpam-5910	209	35	,	,	PUNCT
ejpam-5910	209	36	1	1	NUM
ejpam-5910	209	37	≤	≤	NUM
ejpam-5910	209	38	n	n	PRON
ejpam-5910	209	39	≤	≤	NOUN
ejpam-5910	209	40	a−	a−	PROPN
ejpam-5910	209	41	1	1	NUM
ejpam-5910	209	42	,	,	PUNCT
ejpam-5910	209	43	(	(	PUNCT
ejpam-5910	209	44	23	23	NUM
ejpam-5910	209	45	)	)	PUNCT
ejpam-5910	209	46	ϑq̃f	ϑq̃f	PROPN
ejpam-5910	209	47	,	,	PUNCT
ejpam-5910	209	48	n(ϑ)−qf	n(ϑ)−qf	PROPN
ejpam-5910	209	49	,	,	PUNCT
ejpam-5910	209	50	n(0	n(0	PROPN
ejpam-5910	209	51	)	)	PUNCT
ejpam-5910	209	52	=	=	SYM
ejpam-5910	210	1	λq̃f	λq̃f	PROPN
ejpam-5910	210	2	,	,	PUNCT
ejpam-5910	210	3	n(ϑ)−	n(ϑ)−	PROPN
ejpam-5910	210	4	n∑	n∑	NOUN
ejpam-5910	210	5	κ=1	κ=1	PUNCT
ejpam-5910	211	1	q̃f	q̃f	ADV
ejpam-5910	211	2	,	,	PUNCT
ejpam-5910	211	3	n−κ(ϑ)λgκ	n−κ(ϑ)λgκ	PROPN
ejpam-5910	211	4	,	,	PUNCT
ejpam-5910	211	5	f	f	PROPN
ejpam-5910	211	6	≥	≥	NUM
ejpam-5910	211	7	2	2	NUM
ejpam-5910	211	8	,	,	PUNCT
ejpam-5910	211	9	n	n	PRON
ejpam-5910	211	10	≥	≥	NOUN
ejpam-5910	211	11	a.	a.	NOUN
ejpam-5910	211	12	(	(	PUNCT
ejpam-5910	211	13	24	24	NUM
ejpam-5910	211	14	)	)	PUNCT
ejpam-5910	211	15	5	5	NUM
ejpam-5910	211	16	.	.	PUNCT
ejpam-5910	211	17	pgf	pgf	NOUN
ejpam-5910	211	18	of	of	ADP
ejpam-5910	211	19	the	the	DET
ejpam-5910	211	20	queue	queue	NOUN
ejpam-5910	211	21	size	size	NOUN
ejpam-5910	211	22	the	the	DET
ejpam-5910	211	23	following	follow	VERB
ejpam-5910	211	24	probability	probability	NOUN
ejpam-5910	211	25	-	-	PUNCT
ejpam-5910	211	26	generating	generate	VERB
ejpam-5910	211	27	functions	function	NOUN
ejpam-5910	211	28	(	(	PUNCT
ejpam-5910	211	29	pgfs	pgfs	NOUN
ejpam-5910	211	30	)	)	PUNCT
ejpam-5910	211	31	are	be	AUX
ejpam-5910	211	32	established	establish	VERB
ejpam-5910	211	33	to	to	PART
ejpam-5910	211	34	derive	derive	VERB
ejpam-5910	211	35	the	the	DET
ejpam-5910	211	36	pgf	pgf	NOUN
ejpam-5910	211	37	for	for	ADP
ejpam-5910	211	38	the	the	DET
ejpam-5910	211	39	queue	queue	NOUN
ejpam-5910	211	40	size	size	NOUN
ejpam-5910	211	41	:	:	PUNCT
ejpam-5910	211	42	b̃ι(z	b̃ι(z	PROPN
ejpam-5910	211	43	,	,	PUNCT
ejpam-5910	211	44	ϑ	ϑ	X
ejpam-5910	211	45	)	)	PUNCT
ejpam-5910	211	46	=	=	SYM
ejpam-5910	212	1	∞∑	∞∑	NUM
ejpam-5910	212	2	f=0	f=0	X
ejpam-5910	212	3	b̃ι	b̃ι	NOUN
ejpam-5910	212	4	,	,	PUNCT
ejpam-5910	212	5	f(ϑ)z	f(ϑ)z	PROPN
ejpam-5910	212	6	f	f	PROPN
ejpam-5910	212	7	,	,	PUNCT
ejpam-5910	212	8	bι(z	bι(z	ADJ
ejpam-5910	212	9	,	,	PUNCT
ejpam-5910	212	10	0	0	NUM
ejpam-5910	212	11	)	)	PUNCT
ejpam-5910	212	12	=	=	PUNCT
ejpam-5910	213	1	∞∑	∞∑	NUM
ejpam-5910	213	2	f=0	f=0	X
ejpam-5910	213	3	bι	bι	NOUN
ejpam-5910	213	4	,	,	PUNCT
ejpam-5910	213	5	f(0)z	f(0)z	PROPN
ejpam-5910	213	6	f	f	X
ejpam-5910	213	7	,	,	PUNCT
ejpam-5910	213	8	a	a	DET
ejpam-5910	213	9	≤	≤	NOUN
ejpam-5910	213	10	ι	ι	PRON
ejpam-5910	213	11	≤	≤	NUM
ejpam-5910	213	12	b	b	NOUN
ejpam-5910	213	13	,	,	PUNCT
ejpam-5910	213	14	l̃ι(z	l̃ι(z	PROPN
ejpam-5910	213	15	,	,	PUNCT
ejpam-5910	213	16	ϑ	ϑ	NOUN
ejpam-5910	213	17	)	)	PUNCT
ejpam-5910	213	18	=	=	SYM
ejpam-5910	214	1	∞∑	∞∑	NUM
ejpam-5910	214	2	f=0	f=0	X
ejpam-5910	214	3	l̃ι	l̃ι	PROPN
ejpam-5910	214	4	,	,	PUNCT
ejpam-5910	214	5	f(ϑ)z	f(ϑ)z	PROPN
ejpam-5910	214	6	f	f	PROPN
ejpam-5910	214	7	,	,	PUNCT
ejpam-5910	214	8	lι(z	lι(z	X
ejpam-5910	214	9	,	,	PUNCT
ejpam-5910	214	10	0	0	NUM
ejpam-5910	214	11	)	)	PUNCT
ejpam-5910	214	12	=	=	NOUN
ejpam-5910	215	1	∞∑	∞∑	NUM
ejpam-5910	215	2	f=0	f=0	X
ejpam-5910	215	3	lι	lι	NOUN
ejpam-5910	215	4	,	,	PUNCT
ejpam-5910	215	5	f(0)z	f(0)z	PROPN
ejpam-5910	215	6	f	f	X
ejpam-5910	215	7	,	,	PUNCT
ejpam-5910	215	8	1	1	NUM
ejpam-5910	215	9	≤	≤	NUM
ejpam-5910	215	10	ι	ι	DET
ejpam-5910	215	11	≤	≤	ADJ
ejpam-5910	215	12	a−	a−	PROPN
ejpam-5910	215	13	1	1	NUM
ejpam-5910	215	14	,	,	PUNCT
ejpam-5910	215	15	(	(	PUNCT
ejpam-5910	215	16	25	25	NUM
ejpam-5910	215	17	)	)	PUNCT
ejpam-5910	215	18	q̃f(z	q̃f(z	NOUN
ejpam-5910	215	19	,	,	PUNCT
ejpam-5910	215	20	ϑ	ϑ	NOUN
ejpam-5910	215	21	)	)	PUNCT
ejpam-5910	215	22	=	=	SYM
ejpam-5910	216	1	∞∑	∞∑	NUM
ejpam-5910	216	2	n=0	n=0	PUNCT
ejpam-5910	216	3	q̃f	q̃f	ADV
ejpam-5910	216	4	,	,	PUNCT
ejpam-5910	216	5	n(ϑ)z	n(ϑ)z	PROPN
ejpam-5910	216	6	n	n	CCONJ
ejpam-5910	216	7	,	,	PUNCT
ejpam-5910	216	8	qf(z	qf(z	X
ejpam-5910	216	9	,	,	PUNCT
ejpam-5910	216	10	0	0	NUM
ejpam-5910	216	11	)	)	PUNCT
ejpam-5910	216	12	=	=	NOUN
ejpam-5910	217	1	∞∑	∞∑	NUM
ejpam-5910	217	2	n=0	n=0	NUM
ejpam-5910	217	3	qf	qf	PROPN
ejpam-5910	217	4	,	,	PUNCT
ejpam-5910	217	5	n(0)z	n(0)z	PROPN
ejpam-5910	217	6	n	n	CCONJ
ejpam-5910	217	7	,	,	PUNCT
ejpam-5910	217	8	f	f	PROPN
ejpam-5910	217	9	≥	≥	NUM
ejpam-5910	217	10	1	1	NUM
ejpam-5910	217	11	,	,	PUNCT
ejpam-5910	217	12	r̃(z	r̃(z	PROPN
ejpam-5910	217	13	,	,	PUNCT
ejpam-5910	217	14	ϑ	ϑ	NOUN
ejpam-5910	217	15	)	)	PUNCT
ejpam-5910	217	16	=	=	SYM
ejpam-5910	217	17	∞∑	∞∑	NUM
ejpam-5910	217	18	n=0	n=0	SYM
ejpam-5910	217	19	r̃n(ϑ)z	r̃n(ϑ)z	NOUN
ejpam-5910	217	20	n	n	CCONJ
ejpam-5910	217	21	,	,	PUNCT
ejpam-5910	217	22	r(z	r(z	PROPN
ejpam-5910	217	23	,	,	PUNCT
ejpam-5910	217	24	0	0	NUM
ejpam-5910	217	25	)	)	PUNCT
ejpam-5910	217	26	=	=	NOUN
ejpam-5910	218	1	∞∑	∞∑	PRON
ejpam-5910	218	2	n=0	n=0	NUM
ejpam-5910	218	3	rn(0)z	rn(0)z	PROPN
ejpam-5910	218	4	n.	n.	NOUN
ejpam-5910	218	5	eqs	eqs	PROPN
ejpam-5910	218	6	(	(	PUNCT
ejpam-5910	218	7	25	25	NUM
ejpam-5910	218	8	)	)	PUNCT
ejpam-5910	218	9	is	be	AUX
ejpam-5910	218	10	used	use	VERB
ejpam-5910	218	11	to	to	PART
ejpam-5910	218	12	multiply	multiply	VERB
ejpam-5910	218	13	equations	equation	NOUN
ejpam-5910	218	14	(	(	PUNCT
ejpam-5910	218	15	13	13	NUM
ejpam-5910	218	16	)	)	PUNCT
ejpam-5910	218	17	to	to	ADP
ejpam-5910	218	18	(	(	PUNCT
ejpam-5910	218	19	24	24	NUM
ejpam-5910	218	20	)	)	PUNCT
ejpam-5910	218	21	by	by	ADP
ejpam-5910	218	22	zn	zn	NOUN
ejpam-5910	218	23	and	and	CCONJ
ejpam-5910	218	24	take	take	VERB
ejpam-5910	218	25	λ−	λ−	PROPN
ejpam-5910	218	26	λx(z	λx(z	NUM
ejpam-5910	218	27	)	)	PUNCT
ejpam-5910	218	28	=	=	SYM
ejpam-5910	218	29	ν(z	ν(z	NOUN
ejpam-5910	218	30	)	)	PUNCT
ejpam-5910	218	31	:	:	PUNCT
ejpam-5910	218	32	(	(	PUNCT
ejpam-5910	218	33	ϑ−	ϑ−	NOUN
ejpam-5910	218	34	ν(z))q̃1(z	ν(z))q̃1(z	VERB
ejpam-5910	218	35	,	,	PUNCT
ejpam-5910	218	36	ϑ	ϑ	NOUN
ejpam-5910	218	37	)	)	PUNCT
ejpam-5910	218	38	=	=	SYM
ejpam-5910	218	39	q1(z	q1(z	PROPN
ejpam-5910	218	40	,	,	PUNCT
ejpam-5910	218	41	0)−	0)−	PUNCT
ejpam-5910	219	1	ṽ	ṽ	PROPN
ejpam-5910	219	2	(	(	PUNCT
ejpam-5910	219	3	ϑ	ϑ	NOUN
ejpam-5910	219	4	)	)	PUNCT
ejpam-5910	219	5	[	[	PUNCT
ejpam-5910	219	6	(	(	PUNCT
ejpam-5910	219	7	1−	1−	NUM
ejpam-5910	219	8	φ	φ	NUM
ejpam-5910	219	9	)	)	PUNCT
ejpam-5910	219	10	b∑	b∑	PROPN
ejpam-5910	219	11	m	m	PROPN
ejpam-5910	219	12	=	=	NOUN
ejpam-5910	219	13	a	a	DET
ejpam-5910	219	14	bm,0(0	bm,0(0	NOUN
ejpam-5910	219	15	)	)	PUNCT
ejpam-5910	219	16	+	+	CCONJ
ejpam-5910	219	17	a−1∑	a−1∑	PRON
ejpam-5910	219	18	m=1	m=1	PROPN
ejpam-5910	219	19	lm,0(0	lm,0(0	PROPN
ejpam-5910	219	20	)	)	PUNCT
ejpam-5910	219	21	+	+	PROPN
ejpam-5910	219	22	r0(0	r0(0	NOUN
ejpam-5910	219	23	)	)	PUNCT
ejpam-5910	219	24	]	]	PUNCT
ejpam-5910	219	25	,	,	PUNCT
ejpam-5910	219	26	(	(	PUNCT
ejpam-5910	219	27	26	26	NUM
ejpam-5910	219	28	)	)	PUNCT
ejpam-5910	219	29	karpagam	karpagam	PROPN
ejpam-5910	219	30	s	s	PROPN
ejpam-5910	219	31	,	,	PUNCT
ejpam-5910	219	32	aarthy	aarthy	ADJ
ejpam-5910	219	33	n	n	CCONJ
ejpam-5910	219	34	,	,	PUNCT
ejpam-5910	220	1	g.	g.	PROPN
ejpam-5910	220	2	k.	k.	PROPN
ejpam-5910	220	3	gupta	gupta	PROPN
ejpam-5910	220	4	/	/	SYM
ejpam-5910	220	5	eur	eur	PROPN
ejpam-5910	220	6	.	.	PUNCT
ejpam-5910	221	1	j.	j.	PROPN
ejpam-5910	221	2	pure	pure	PROPN
ejpam-5910	221	3	appl	appl	PROPN
ejpam-5910	221	4	.	.	PROPN
ejpam-5910	221	5	math	math	PROPN
ejpam-5910	221	6	,	,	PUNCT
ejpam-5910	221	7	18	18	NUM
ejpam-5910	221	8	(	(	PUNCT
ejpam-5910	221	9	3	3	NUM
ejpam-5910	221	10	)	)	PUNCT
ejpam-5910	221	11	(	(	PUNCT
ejpam-5910	221	12	2025	2025	NUM
ejpam-5910	221	13	)	)	PUNCT
ejpam-5910	221	14	,	,	PUNCT
ejpam-5910	221	15	5910	5910	NUM
ejpam-5910	221	16	10	10	NUM
ejpam-5910	221	17	of	of	ADP
ejpam-5910	221	18	28	28	NUM
ejpam-5910	221	19	(	(	PUNCT
ejpam-5910	221	20	ϑ−	ϑ−	PROPN
ejpam-5910	221	21	ν(z))q̃f(z	ν(z))q̃f(z	ADV
ejpam-5910	221	22	,	,	PUNCT
ejpam-5910	221	23	ϑ	ϑ	NOUN
ejpam-5910	221	24	)	)	PUNCT
ejpam-5910	221	25	=	=	PUNCT
ejpam-5910	221	26	qf(z	qf(z	PROPN
ejpam-5910	221	27	,	,	PUNCT
ejpam-5910	221	28	0)−	0)−	PUNCT
ejpam-5910	222	1	ṽ	ṽ	PROPN
ejpam-5910	222	2	(	(	PUNCT
ejpam-5910	222	3	ϑ	ϑ	NOUN
ejpam-5910	222	4	)	)	PUNCT
ejpam-5910	222	5	a−1∑	a−1∑	PRON
ejpam-5910	222	6	n=0	n=0	NUM
ejpam-5910	222	7	qf−1,n(0)z	qf−1,n(0)z	NOUN
ejpam-5910	222	8	n	n	CCONJ
ejpam-5910	222	9	,	,	PUNCT
ejpam-5910	222	10	f	f	PROPN
ejpam-5910	222	11	≥	≥	NUM
ejpam-5910	222	12	2	2	NUM
ejpam-5910	222	13	,	,	PUNCT
ejpam-5910	222	14	(	(	PUNCT
ejpam-5910	222	15	27	27	NUM
ejpam-5910	222	16	)	)	PUNCT
ejpam-5910	222	17	(	(	PUNCT
ejpam-5910	222	18	ϑ−	ϑ−	PROPN
ejpam-5910	222	19	ν(z))b̃ι(z	ν(z))b̃ι(z	PROPN
ejpam-5910	222	20	,	,	PUNCT
ejpam-5910	222	21	ϑ	ϑ	NOUN
ejpam-5910	222	22	)	)	PUNCT
ejpam-5910	222	23	=	=	SYM
ejpam-5910	222	24	bι(z	bι(z	X
ejpam-5910	222	25	,	,	PUNCT
ejpam-5910	222	26	0)−	0)−	PUNCT
ejpam-5910	222	27	s̃(ϑ	s̃(ϑ	ADJ
ejpam-5910	222	28	)	)	PUNCT
ejpam-5910	222	29	[	[	PUNCT
ejpam-5910	222	30	(	(	PUNCT
ejpam-5910	222	31	1−	1−	NUM
ejpam-5910	222	32	φ	φ	NUM
ejpam-5910	222	33	)	)	PUNCT
ejpam-5910	222	34	b∑	b∑	PROPN
ejpam-5910	222	35	m	m	PROPN
ejpam-5910	222	36	=	=	PROPN
ejpam-5910	222	37	a	a	DET
ejpam-5910	222	38	bm	bm	PROPN
ejpam-5910	222	39	,	,	PUNCT
ejpam-5910	222	40	ι(0	ι(0	PROPN
ejpam-5910	222	41	)	)	PUNCT
ejpam-5910	222	42	+	+	CCONJ
ejpam-5910	222	43	a−1∑	a−1∑	PRON
ejpam-5910	222	44	m=1	m=1	PROPN
ejpam-5910	222	45	lm	lm	PROPN
ejpam-5910	222	46	,	,	PUNCT
ejpam-5910	222	47	ι(0	ι(0	PROPN
ejpam-5910	222	48	)	)	PUNCT
ejpam-5910	222	49	+	+	CCONJ
ejpam-5910	222	50	∞∑	∞∑	NUM
ejpam-5910	222	51	l=1	l=1	PROPN
ejpam-5910	222	52	ql	ql	PROPN
ejpam-5910	222	53	,	,	PUNCT
ejpam-5910	222	54	ι(0	ι(0	PROPN
ejpam-5910	222	55	)	)	PUNCT
ejpam-5910	222	56	+	+	NOUN
ejpam-5910	222	57	rι(0	rι(0	X
ejpam-5910	222	58	)	)	PUNCT
ejpam-5910	222	59	]	]	PUNCT
ejpam-5910	222	60	,	,	PUNCT
ejpam-5910	222	61	a	a	DET
ejpam-5910	222	62	≤	≤	NOUN
ejpam-5910	222	63	ι	ι	PRON
ejpam-5910	222	64	≤	≤	ADJ
ejpam-5910	222	65	b−	b−	NOUN
ejpam-5910	222	66	1	1	NUM
ejpam-5910	222	67	,	,	PUNCT
ejpam-5910	222	68	(	(	PUNCT
ejpam-5910	222	69	28	28	NUM
ejpam-5910	222	70	)	)	PUNCT
ejpam-5910	222	71	(	(	PUNCT
ejpam-5910	222	72	ϑ−	ϑ−	PROPN
ejpam-5910	222	73	ν(z))l̃ι(z	ν(z))l̃ι(z	NOUN
ejpam-5910	222	74	,	,	PUNCT
ejpam-5910	222	75	ϑ	ϑ	NOUN
ejpam-5910	222	76	)	)	PUNCT
ejpam-5910	222	77	=	=	SYM
ejpam-5910	222	78	lι(z	lι(z	X
ejpam-5910	222	79	,	,	PUNCT
ejpam-5910	222	80	0)−	0)−	NUM
ejpam-5910	222	81	c̃(ϑ	c̃(ϑ	NOUN
ejpam-5910	222	82	)	)	PUNCT
ejpam-5910	222	83	[	[	PUNCT
ejpam-5910	222	84	a−1∑	a−1∑	X
ejpam-5910	222	85	m=1	m=1	PROPN
ejpam-5910	222	86	lm	lm	PROPN
ejpam-5910	222	87	,	,	PUNCT
ejpam-5910	222	88	ι(0	ι(0	PROPN
ejpam-5910	222	89	)	)	PUNCT
ejpam-5910	223	1	+	+	CCONJ
ejpam-5910	223	2	(	(	PUNCT
ejpam-5910	223	3	1−	1−	NUM
ejpam-5910	223	4	φ	φ	NUM
ejpam-5910	223	5	)	)	PUNCT
ejpam-5910	223	6	b∑	b∑	PROPN
ejpam-5910	224	1	m	m	PROPN
ejpam-5910	224	2	=	=	PROPN
ejpam-5910	224	3	a	a	DET
ejpam-5910	224	4	bm	bm	PROPN
ejpam-5910	224	5	,	,	PUNCT
ejpam-5910	224	6	ι(0	ι(0	PROPN
ejpam-5910	224	7	)	)	PUNCT
ejpam-5910	225	1	+	+	NOUN
ejpam-5910	225	2	rι(0	rι(0	X
ejpam-5910	225	3	)	)	PUNCT
ejpam-5910	225	4	]	]	PUNCT
ejpam-5910	225	5	,	,	PUNCT
ejpam-5910	225	6	1	1	NUM
ejpam-5910	225	7	≤	≤	NUM
ejpam-5910	225	8	ι	ι	PRON
ejpam-5910	225	9	≤	≤	ADJ
ejpam-5910	225	10	a−	a−	PROPN
ejpam-5910	225	11	1	1	NUM
ejpam-5910	225	12	,	,	PUNCT
ejpam-5910	225	13	(	(	PUNCT
ejpam-5910	225	14	29	29	NUM
ejpam-5910	225	15	)	)	PUNCT
ejpam-5910	225	16	zb(ϑ−	zb(ϑ−	ADP
ejpam-5910	225	17	ν(z))b̃b(z	ν(z))b̃b(z	NOUN
ejpam-5910	225	18	,	,	PUNCT
ejpam-5910	225	19	ϑ	ϑ	NOUN
ejpam-5910	225	20	)	)	PUNCT
ejpam-5910	225	21	=	=	SYM
ejpam-5910	225	22	zbbb(z	zbbb(z	PROPN
ejpam-5910	225	23	,	,	PUNCT
ejpam-5910	225	24	0	0	NUM
ejpam-5910	225	25	)	)	PUNCT
ejpam-5910	225	26	−	−	ADP
ejpam-5910	225	27	s̃(ϑ	s̃(ϑ	ADJ
ejpam-5910	225	28	)	)	PUNCT
ejpam-5910	225	29	{	{	PUNCT
ejpam-5910	225	30	(	(	PUNCT
ejpam-5910	225	31	1−	1−	NUM
ejpam-5910	225	32	φ	φ	NUM
ejpam-5910	225	33	)	)	PUNCT
ejpam-5910	225	34	b∑	b∑	PROPN
ejpam-5910	226	1	m	m	PROPN
ejpam-5910	226	2	=	=	NOUN
ejpam-5910	226	3	a	a	DET
ejpam-5910	226	4	[	[	PUNCT
ejpam-5910	226	5	bm(z	bm(z	X
ejpam-5910	226	6	,	,	PUNCT
ejpam-5910	226	7	0)−	0)−	NUM
ejpam-5910	226	8	b−1∑	b−1∑	VERB
ejpam-5910	226	9	f=0	f=0	PROPN
ejpam-5910	226	10	bm	bm	PROPN
ejpam-5910	226	11	,	,	PUNCT
ejpam-5910	226	12	f(0)z	f(0)z	PROPN
ejpam-5910	226	13	f	f	X
ejpam-5910	226	14	]	]	X
ejpam-5910	226	15	}	}	PUNCT
ejpam-5910	226	16	−	−	ADP
ejpam-5910	226	17	s̃(ϑ	s̃(ϑ	ADJ
ejpam-5910	226	18	)	)	PUNCT
ejpam-5910	226	19	{	{	PUNCT
ejpam-5910	226	20	a−1∑	a−1∑	X
ejpam-5910	226	21	m=1	m=1	X
ejpam-5910	226	22	[	[	PUNCT
ejpam-5910	226	23	lm(z	lm(z	X
ejpam-5910	226	24	,	,	PUNCT
ejpam-5910	226	25	0)−	0)−	NUM
ejpam-5910	226	26	b−1∑	b−1∑	VERB
ejpam-5910	226	27	f=0	f=0	X
ejpam-5910	226	28	lm	lm	PROPN
ejpam-5910	226	29	,	,	PUNCT
ejpam-5910	226	30	f(0)z	f(0)z	PROPN
ejpam-5910	226	31	f	f	X
ejpam-5910	226	32	]	]	X
ejpam-5910	226	33	}	}	PUNCT
ejpam-5910	226	34	−	−	ADP
ejpam-5910	226	35	s̃(ϑ	s̃(ϑ	ADJ
ejpam-5910	226	36	)	)	PUNCT
ejpam-5910	226	37	{	{	PUNCT
ejpam-5910	226	38	∞∑	∞∑	NUM
ejpam-5910	226	39	l=1	l=1	PROPN
ejpam-5910	226	40	[	[	PUNCT
ejpam-5910	226	41	ql(z	ql(z	NOUN
ejpam-5910	226	42	,	,	PUNCT
ejpam-5910	226	43	0)−	0)−	NUM
ejpam-5910	226	44	b−1∑	b−1∑	VERB
ejpam-5910	226	45	f=0	f=0	PROPN
ejpam-5910	226	46	ql	ql	PROPN
ejpam-5910	226	47	,	,	PUNCT
ejpam-5910	226	48	f(0)z	f(0)z	PROPN
ejpam-5910	226	49	f	f	X
ejpam-5910	226	50	]	]	PUNCT
ejpam-5910	227	1	+	+	CCONJ
ejpam-5910	227	2	[	[	PUNCT
ejpam-5910	227	3	r(z	r(z	NOUN
ejpam-5910	227	4	,	,	PUNCT
ejpam-5910	227	5	0)−	0)−	NUM
ejpam-5910	227	6	b−1∑	b−1∑	VERB
ejpam-5910	227	7	f=0	f=0	PROPN
ejpam-5910	227	8	rf(0)z	rf(0)z	PROPN
ejpam-5910	227	9	f	f	X
ejpam-5910	227	10	]	]	X
ejpam-5910	227	11	}	}	PUNCT
ejpam-5910	227	12	(	(	PUNCT
ejpam-5910	227	13	30	30	NUM
ejpam-5910	227	14	)	)	PUNCT
ejpam-5910	227	15	(	(	PUNCT
ejpam-5910	227	16	ϑ−	ϑ−	PROPN
ejpam-5910	227	17	ν(z))r̃(z	ν(z))r̃(z	PROPN
ejpam-5910	227	18	,	,	PUNCT
ejpam-5910	227	19	ϑ	ϑ	NOUN
ejpam-5910	227	20	)	)	PUNCT
ejpam-5910	227	21	=	=	SYM
ejpam-5910	227	22	r(z	r(z	NOUN
ejpam-5910	227	23	,	,	PUNCT
ejpam-5910	227	24	0)−	0)−	NUM
ejpam-5910	228	1	φ	φ	PROPN
ejpam-5910	228	2	b∑	b∑	PROPN
ejpam-5910	228	3	m	m	PROPN
ejpam-5910	228	4	=	=	NOUN
ejpam-5910	228	5	a	a	DET
ejpam-5910	228	6	bm(z	bm(z	NOUN
ejpam-5910	228	7	,	,	PUNCT
ejpam-5910	228	8	0)r̃(ϑ	0)r̃(ϑ	NUM
ejpam-5910	228	9	)	)	PUNCT
ejpam-5910	228	10	.	.	PUNCT
ejpam-5910	229	1	(	(	PUNCT
ejpam-5910	229	2	31	31	NUM
ejpam-5910	229	3	)	)	PUNCT
ejpam-5910	229	4	sustituting	sustitute	VERB
ejpam-5910	229	5	ϑ	ϑ	X
ejpam-5910	229	6	=	=	SYM
ejpam-5910	229	7	ν(z	ν(z	NOUN
ejpam-5910	229	8	)	)	PUNCT
ejpam-5910	229	9	in	in	ADP
ejpam-5910	229	10	equations	equation	NOUN
ejpam-5910	229	11	(	(	PUNCT
ejpam-5910	229	12	26)-(31	26)-(31	NUM
ejpam-5910	229	13	)	)	PUNCT
ejpam-5910	229	14	,	,	PUNCT
ejpam-5910	229	15	we	we	PRON
ejpam-5910	229	16	obtain	obtain	VERB
ejpam-5910	229	17	:	:	PUNCT
ejpam-5910	229	18	q1(z	q1(z	ADJ
ejpam-5910	229	19	,	,	PUNCT
ejpam-5910	229	20	0	0	NUM
ejpam-5910	229	21	)	)	PUNCT
ejpam-5910	230	1	=	=	SYM
ejpam-5910	230	2	ṽ	ṽ	PROPN
ejpam-5910	230	3	(	(	PUNCT
ejpam-5910	230	4	ν(z	ν(z	PROPN
ejpam-5910	230	5	)	)	PUNCT
ejpam-5910	230	6	)	)	PUNCT
ejpam-5910	231	1	[	[	PUNCT
ejpam-5910	231	2	(	(	PUNCT
ejpam-5910	231	3	1−	1−	NUM
ejpam-5910	231	4	φ	φ	NUM
ejpam-5910	231	5	)	)	PUNCT
ejpam-5910	231	6	b∑	b∑	PROPN
ejpam-5910	232	1	m	m	PROPN
ejpam-5910	232	2	=	=	NOUN
ejpam-5910	232	3	a	a	DET
ejpam-5910	232	4	bm,0(0	bm,0(0	NOUN
ejpam-5910	232	5	)	)	PUNCT
ejpam-5910	232	6	+	+	CCONJ
ejpam-5910	232	7	a−1∑	a−1∑	PRON
ejpam-5910	232	8	m=1	m=1	PROPN
ejpam-5910	232	9	lm,0(0	lm,0(0	PROPN
ejpam-5910	232	10	)	)	PUNCT
ejpam-5910	232	11	+	+	PROPN
ejpam-5910	232	12	r0(0	r0(0	NOUN
ejpam-5910	232	13	)	)	PUNCT
ejpam-5910	232	14	]	]	PUNCT
ejpam-5910	232	15	,	,	PUNCT
ejpam-5910	232	16	(	(	PUNCT
ejpam-5910	232	17	32	32	NUM
ejpam-5910	232	18	)	)	PUNCT
ejpam-5910	232	19	qf(z	qf(z	PUNCT
ejpam-5910	232	20	,	,	PUNCT
ejpam-5910	232	21	0	0	NUM
ejpam-5910	232	22	)	)	PUNCT
ejpam-5910	232	23	=	=	SYM
ejpam-5910	232	24	ṽ	ṽ	PROPN
ejpam-5910	232	25	(	(	PUNCT
ejpam-5910	232	26	ν(z	ν(z	PROPN
ejpam-5910	232	27	)	)	PUNCT
ejpam-5910	232	28	)	)	PUNCT
ejpam-5910	232	29	a−1∑	a−1∑	PRON
ejpam-5910	232	30	n=0	n=0	NUM
ejpam-5910	232	31	qf−1,n(0)z	qf−1,n(0)z	NOUN
ejpam-5910	232	32	n	n	CCONJ
ejpam-5910	232	33	,	,	PUNCT
ejpam-5910	232	34	f	f	PROPN
ejpam-5910	232	35	≥	≥	NUM
ejpam-5910	232	36	2	2	NUM
ejpam-5910	232	37	,	,	PUNCT
ejpam-5910	232	38	(	(	PUNCT
ejpam-5910	232	39	33	33	NUM
ejpam-5910	232	40	)	)	PUNCT
ejpam-5910	232	41	r(z	r(z	NOUN
ejpam-5910	232	42	,	,	PUNCT
ejpam-5910	232	43	0	0	NUM
ejpam-5910	232	44	)	)	PUNCT
ejpam-5910	232	45	=	=	SYM
ejpam-5910	233	1	φ	φ	PROPN
ejpam-5910	233	2	b∑	b∑	PROPN
ejpam-5910	233	3	m	m	PROPN
ejpam-5910	233	4	=	=	NOUN
ejpam-5910	233	5	a	a	PRON
ejpam-5910	233	6	bm(z	bm(z	NOUN
ejpam-5910	233	7	,	,	PUNCT
ejpam-5910	233	8	0)r̃(ν(z	0)r̃(ν(z	NOUN
ejpam-5910	233	9	)	)	PUNCT
ejpam-5910	233	10	)	)	PUNCT
ejpam-5910	233	11	,	,	PUNCT
ejpam-5910	233	12	(	(	PUNCT
ejpam-5910	233	13	34	34	NUM
ejpam-5910	233	14	)	)	PUNCT
ejpam-5910	233	15	lι(z	lι(z	X
ejpam-5910	233	16	,	,	PUNCT
ejpam-5910	233	17	0	0	NUM
ejpam-5910	233	18	)	)	PUNCT
ejpam-5910	234	1	=	=	SYM
ejpam-5910	234	2	c̃(ν(z	c̃(ν(z	NOUN
ejpam-5910	234	3	)	)	PUNCT
ejpam-5910	234	4	)	)	PUNCT
ejpam-5910	235	1	[	[	PUNCT
ejpam-5910	235	2	a−1∑	a−1∑	X
ejpam-5910	235	3	m=1	m=1	PROPN
ejpam-5910	235	4	lm	lm	PROPN
ejpam-5910	235	5	,	,	PUNCT
ejpam-5910	235	6	ι(0	ι(0	PROPN
ejpam-5910	235	7	)	)	PUNCT
ejpam-5910	235	8	+	+	CCONJ
ejpam-5910	235	9	(	(	PUNCT
ejpam-5910	235	10	1−	1−	NUM
ejpam-5910	235	11	φ	φ	NUM
ejpam-5910	235	12	)	)	PUNCT
ejpam-5910	235	13	b∑	b∑	PROPN
ejpam-5910	236	1	m	m	PROPN
ejpam-5910	236	2	=	=	PROPN
ejpam-5910	236	3	a	a	DET
ejpam-5910	236	4	bm	bm	PROPN
ejpam-5910	236	5	,	,	PUNCT
ejpam-5910	236	6	ι(0	ι(0	PROPN
ejpam-5910	236	7	)	)	PUNCT
ejpam-5910	237	1	+	+	NOUN
ejpam-5910	237	2	rι(0	rι(0	X
ejpam-5910	237	3	)	)	PUNCT
ejpam-5910	237	4	]	]	PUNCT
ejpam-5910	237	5	,	,	PUNCT
ejpam-5910	237	6	1	1	NUM
ejpam-5910	237	7	≤	≤	NUM
ejpam-5910	237	8	ι	ι	PRON
ejpam-5910	237	9	≤	≤	ADJ
ejpam-5910	237	10	a−	a−	PROPN
ejpam-5910	237	11	1	1	NUM
ejpam-5910	237	12	,	,	PUNCT
ejpam-5910	237	13	(	(	PUNCT
ejpam-5910	237	14	35	35	NUM
ejpam-5910	237	15	)	)	PUNCT
ejpam-5910	237	16	bι(z	bι(z	ADJ
ejpam-5910	237	17	,	,	PUNCT
ejpam-5910	237	18	0	0	NUM
ejpam-5910	237	19	)	)	PUNCT
ejpam-5910	237	20	=	=	SYM
ejpam-5910	237	21	s̃(ν(z	s̃(ν(z	NUM
ejpam-5910	237	22	)	)	PUNCT
ejpam-5910	237	23	)	)	PUNCT
ejpam-5910	238	1	[	[	PUNCT
ejpam-5910	238	2	(	(	PUNCT
ejpam-5910	238	3	1−	1−	NUM
ejpam-5910	238	4	φ	φ	NUM
ejpam-5910	238	5	)	)	PUNCT
ejpam-5910	238	6	b∑	b∑	PROPN
ejpam-5910	239	1	m	m	PROPN
ejpam-5910	239	2	=	=	PROPN
ejpam-5910	239	3	a	a	DET
ejpam-5910	239	4	bm	bm	PROPN
ejpam-5910	239	5	,	,	PUNCT
ejpam-5910	239	6	ι(0	ι(0	PROPN
ejpam-5910	239	7	)	)	PUNCT
ejpam-5910	239	8	+	+	CCONJ
ejpam-5910	239	9	a−1∑	a−1∑	PRON
ejpam-5910	239	10	m=1	m=1	PROPN
ejpam-5910	239	11	lm	lm	PROPN
ejpam-5910	239	12	,	,	PUNCT
ejpam-5910	239	13	ι(0	ι(0	PROPN
ejpam-5910	239	14	)	)	PUNCT
ejpam-5910	240	1	+	+	CCONJ
ejpam-5910	240	2	∞∑	∞∑	NUM
ejpam-5910	240	3	l=1	l=1	PROPN
ejpam-5910	240	4	ql	ql	PROPN
ejpam-5910	240	5	,	,	PUNCT
ejpam-5910	240	6	ι(0	ι(0	PROPN
ejpam-5910	240	7	)	)	PUNCT
ejpam-5910	241	1	+	+	NOUN
ejpam-5910	241	2	rι(0	rι(0	X
ejpam-5910	241	3	)	)	PUNCT
ejpam-5910	241	4	]	]	PUNCT
ejpam-5910	241	5	,	,	PUNCT
ejpam-5910	241	6	a	a	DET
ejpam-5910	241	7	≤	≤	NOUN
ejpam-5910	241	8	ι	ι	PRON
ejpam-5910	241	9	≤	≤	ADJ
ejpam-5910	241	10	b−	b−	NOUN
ejpam-5910	241	11	1	1	NUM
ejpam-5910	241	12	,	,	PUNCT
ejpam-5910	241	13	(	(	PUNCT
ejpam-5910	241	14	36	36	NUM
ejpam-5910	241	15	)	)	PUNCT
ejpam-5910	241	16	karpagam	karpagam	PROPN
ejpam-5910	241	17	s	s	PROPN
ejpam-5910	241	18	,	,	PUNCT
ejpam-5910	241	19	aarthy	aarthy	ADJ
ejpam-5910	241	20	n	n	CCONJ
ejpam-5910	241	21	,	,	PUNCT
ejpam-5910	242	1	g.	g.	PROPN
ejpam-5910	242	2	k.	k.	PROPN
ejpam-5910	242	3	gupta	gupta	PROPN
ejpam-5910	242	4	/	/	SYM
ejpam-5910	242	5	eur	eur	PROPN
ejpam-5910	242	6	.	.	PUNCT
ejpam-5910	243	1	j.	j.	PROPN
ejpam-5910	243	2	pure	pure	PROPN
ejpam-5910	243	3	appl	appl	PROPN
ejpam-5910	243	4	.	.	PROPN
ejpam-5910	243	5	math	math	PROPN
ejpam-5910	243	6	,	,	PUNCT
ejpam-5910	243	7	18	18	NUM
ejpam-5910	243	8	(	(	PUNCT
ejpam-5910	243	9	3	3	NUM
ejpam-5910	243	10	)	)	PUNCT
ejpam-5910	243	11	(	(	PUNCT
ejpam-5910	243	12	2025	2025	NUM
ejpam-5910	243	13	)	)	PUNCT
ejpam-5910	243	14	,	,	PUNCT
ejpam-5910	243	15	5910	5910	NUM
ejpam-5910	243	16	11	11	NUM
ejpam-5910	243	17	of	of	ADP
ejpam-5910	243	18	28	28	NUM
ejpam-5910	243	19	zbbb(z	zbbb(z	PROPN
ejpam-5910	243	20	,	,	PUNCT
ejpam-5910	243	21	0	0	NUM
ejpam-5910	243	22	)	)	PUNCT
ejpam-5910	243	23	=	=	SYM
ejpam-5910	243	24	s̃(ν(z	s̃(ν(z	NUM
ejpam-5910	243	25	)	)	PUNCT
ejpam-5910	243	26	)	)	PUNCT
ejpam-5910	243	27	{	{	PUNCT
ejpam-5910	243	28	(	(	PUNCT
ejpam-5910	243	29	1−	1−	NUM
ejpam-5910	243	30	φ	φ	NUM
ejpam-5910	243	31	)	)	PUNCT
ejpam-5910	243	32	b∑	b∑	PROPN
ejpam-5910	244	1	m	m	PROPN
ejpam-5910	244	2	=	=	NOUN
ejpam-5910	244	3	a	a	DET
ejpam-5910	244	4	[	[	PUNCT
ejpam-5910	244	5	bm(z	bm(z	X
ejpam-5910	244	6	,	,	PUNCT
ejpam-5910	244	7	0)−	0)−	NUM
ejpam-5910	244	8	b−1∑	b−1∑	VERB
ejpam-5910	244	9	f=0	f=0	PROPN
ejpam-5910	244	10	bm	bm	PROPN
ejpam-5910	244	11	,	,	PUNCT
ejpam-5910	244	12	f(0)z	f(0)z	PROPN
ejpam-5910	244	13	f	f	X
ejpam-5910	244	14	]	]	PUNCT
ejpam-5910	245	1	+	+	CCONJ
ejpam-5910	245	2	a−1∑	a−1∑	PRON
ejpam-5910	245	3	m=1	m=1	X
ejpam-5910	245	4	[	[	PUNCT
ejpam-5910	245	5	lm(z	lm(z	X
ejpam-5910	245	6	,	,	PUNCT
ejpam-5910	245	7	0	0	NUM
ejpam-5910	245	8	)	)	PUNCT
ejpam-5910	245	9	−	−	NOUN
ejpam-5910	245	10	b−1∑	b−1∑	VERB
ejpam-5910	245	11	f=0	f=0	X
ejpam-5910	245	12	lm	lm	PROPN
ejpam-5910	245	13	,	,	PUNCT
ejpam-5910	245	14	f(0)z	f(0)z	PROPN
ejpam-5910	245	15	f	f	X
ejpam-5910	245	16	]	]	PUNCT
ejpam-5910	246	1	+	+	CCONJ
ejpam-5910	246	2	∞∑	∞∑	NUM
ejpam-5910	246	3	l=1	l=1	PROPN
ejpam-5910	246	4	[	[	PUNCT
ejpam-5910	246	5	ql(z	ql(z	NOUN
ejpam-5910	246	6	,	,	PUNCT
ejpam-5910	246	7	0)−	0)−	NUM
ejpam-5910	246	8	b−1∑	b−1∑	VERB
ejpam-5910	246	9	f=0	f=0	PROPN
ejpam-5910	246	10	ql	ql	PROPN
ejpam-5910	246	11	,	,	PUNCT
ejpam-5910	246	12	f(0)z	f(0)z	PROPN
ejpam-5910	246	13	f	f	X
ejpam-5910	246	14	]	]	PUNCT
ejpam-5910	247	1	+	+	CCONJ
ejpam-5910	247	2	[	[	PUNCT
ejpam-5910	247	3	r(z	r(z	NOUN
ejpam-5910	247	4	,	,	PUNCT
ejpam-5910	247	5	0)−	0)−	NUM
ejpam-5910	247	6	b−1∑	b−1∑	VERB
ejpam-5910	247	7	f=0	f=0	PROPN
ejpam-5910	247	8	rf(0)z	rf(0)z	PROPN
ejpam-5910	247	9	f	f	X
ejpam-5910	247	10	]	]	X
ejpam-5910	247	11	}	}	PUNCT
ejpam-5910	247	12	,	,	PUNCT
ejpam-5910	247	13	when	when	SCONJ
ejpam-5910	247	14	bb(z	bb(z	NOUN
ejpam-5910	247	15	,	,	PUNCT
ejpam-5910	247	16	0	0	NUM
ejpam-5910	247	17	)	)	PUNCT
ejpam-5910	247	18	is	be	AUX
ejpam-5910	247	19	solved	solve	VERB
ejpam-5910	247	20	for	for	ADP
ejpam-5910	247	21	,	,	PUNCT
ejpam-5910	247	22	the	the	DET
ejpam-5910	247	23	following	follow	VERB
ejpam-5910	247	24	equation	equation	NOUN
ejpam-5910	247	25	is	be	AUX
ejpam-5910	247	26	obtained	obtain	VERB
ejpam-5910	247	27	bb(z	bb(z	NOUN
ejpam-5910	247	28	,	,	PUNCT
ejpam-5910	247	29	0	0	NUM
ejpam-5910	247	30	)	)	PUNCT
ejpam-5910	247	31	=	=	PUNCT
ejpam-5910	247	32	s̃(ν(z))f(z	s̃(ν(z))f(z	NOUN
ejpam-5910	247	33	)	)	PUNCT
ejpam-5910	247	34	zb	zb	VERB
ejpam-5910	247	35	−	−	NOUN
ejpam-5910	247	36	ϵ(z	ϵ(z	NOUN
ejpam-5910	247	37	)	)	PUNCT
ejpam-5910	247	38	.	.	PUNCT
ejpam-5910	248	1	(	(	PUNCT
ejpam-5910	248	2	37	37	NUM
ejpam-5910	248	3	)	)	PUNCT
ejpam-5910	248	4	where	where	SCONJ
ejpam-5910	248	5	ϵ(z	ϵ(z	NOUN
ejpam-5910	248	6	)	)	PUNCT
ejpam-5910	248	7	=	=	SYM
ejpam-5910	248	8	(	(	PUNCT
ejpam-5910	248	9	1−	1−	NUM
ejpam-5910	248	10	φ)s̃(ν(z	φ)s̃(ν(z	NOUN
ejpam-5910	248	11	)	)	PUNCT
ejpam-5910	248	12	)	)	PUNCT
ejpam-5910	249	1	+	+	PUNCT
ejpam-5910	249	2	φs̃(ν(z))r̃(ν(z	φs̃(ν(z))r̃(ν(z	NOUN
ejpam-5910	249	3	)	)	PUNCT
ejpam-5910	249	4	)	)	PUNCT
ejpam-5910	249	5	,	,	PUNCT
ejpam-5910	249	6	f(z	f(z	NUM
ejpam-5910	249	7	)	)	PUNCT
ejpam-5910	250	1	=	=	PUNCT
ejpam-5910	250	2	[	[	PUNCT
ejpam-5910	250	3	(	(	PUNCT
ejpam-5910	250	4	1−	1−	NUM
ejpam-5910	250	5	φ	φ	NUM
ejpam-5910	250	6	)	)	PUNCT
ejpam-5910	250	7	+	+	NUM
ejpam-5910	250	8	φr̃(ν(z	φr̃(ν(z	NOUN
ejpam-5910	250	9	)	)	PUNCT
ejpam-5910	250	10	)	)	PUNCT
ejpam-5910	250	11	]	]	PUNCT
ejpam-5910	251	1	b−1∑	b−1∑	NUM
ejpam-5910	251	2	m	m	NOUN
ejpam-5910	251	3	=	=	NOUN
ejpam-5910	251	4	a	a	DET
ejpam-5910	251	5	bm(z	bm(z	NOUN
ejpam-5910	251	6	,	,	PUNCT
ejpam-5910	251	7	0	0	NUM
ejpam-5910	251	8	)	)	PUNCT
ejpam-5910	251	9	+	+	CCONJ
ejpam-5910	251	10	a−1∑	a−1∑	PRON
ejpam-5910	251	11	m=1	m=1	NOUN
ejpam-5910	251	12	lm(z	lm(z	X
ejpam-5910	251	13	,	,	PUNCT
ejpam-5910	251	14	0	0	NUM
ejpam-5910	251	15	)	)	PUNCT
ejpam-5910	251	16	+	+	CCONJ
ejpam-5910	251	17	∞∑	∞∑	NUM
ejpam-5910	251	18	l=1	l=1	PROPN
ejpam-5910	251	19	ql(z	ql(z	NOUN
ejpam-5910	251	20	,	,	PUNCT
ejpam-5910	251	21	0	0	NUM
ejpam-5910	251	22	)	)	PUNCT
ejpam-5910	251	23	−	−	NOUN
ejpam-5910	252	1	[	[	X
ejpam-5910	252	2	b−1∑	b−1∑	NOUN
ejpam-5910	252	3	ι=0	ι=0	VERB
ejpam-5910	252	4	dιz	dιz	NOUN
ejpam-5910	252	5	ι	ι	X
ejpam-5910	253	1	+	+	CCONJ
ejpam-5910	253	2	b−1∑	b−1∑	NUM
ejpam-5910	253	3	i=0	i=0	PROPN
ejpam-5910	253	4	lιz	lιz	NOUN
ejpam-5910	253	5	ι	ι	X
ejpam-5910	253	6	+	+	NUM
ejpam-5910	253	7	b−1∑	b−1∑	NUM
ejpam-5910	253	8	ι=0	ι=0	NOUN
ejpam-5910	253	9	qιz	qιz	NOUN
ejpam-5910	253	10	ι	ι	X
ejpam-5910	253	11	]	]	PUNCT
ejpam-5910	253	12	,	,	PUNCT
ejpam-5910	253	13	pι	pι	ADP
ejpam-5910	253	14	=	=	SYM
ejpam-5910	253	15	b∑	b∑	PROPN
ejpam-5910	253	16	m	m	PROPN
ejpam-5910	253	17	=	=	PROPN
ejpam-5910	253	18	a	a	DET
ejpam-5910	253	19	bm	bm	PROPN
ejpam-5910	253	20	,	,	PUNCT
ejpam-5910	253	21	ι(0	ι(0	PROPN
ejpam-5910	253	22	)	)	PUNCT
ejpam-5910	253	23	,	,	PUNCT
ejpam-5910	253	24	lι	lι	NOUN
ejpam-5910	253	25	=	=	VERB
ejpam-5910	253	26	a−1∑	a−1∑	PROPN
ejpam-5910	253	27	m=1	m=1	PROPN
ejpam-5910	253	28	lm	lm	PROPN
ejpam-5910	253	29	,	,	PUNCT
ejpam-5910	253	30	ι(0	ι(0	PROPN
ejpam-5910	253	31	)	)	PUNCT
ejpam-5910	253	32	,	,	PUNCT
ejpam-5910	253	33	qι	qι	ADP
ejpam-5910	253	34	=	=	PUNCT
ejpam-5910	253	35	∞∑	∞∑	NUM
ejpam-5910	253	36	l=1	l=1	PROPN
ejpam-5910	253	37	ql	ql	PROPN
ejpam-5910	253	38	,	,	PUNCT
ejpam-5910	253	39	ι(0	ι(0	PROPN
ejpam-5910	253	40	)	)	PUNCT
ejpam-5910	253	41	,	,	PUNCT
ejpam-5910	253	42	rι	rι	NOUN
ejpam-5910	253	43	=	=	PUNCT
ejpam-5910	253	44	rι(0	rι(0	PROPN
ejpam-5910	253	45	)	)	PUNCT
ejpam-5910	253	46	,	,	PUNCT
ejpam-5910	253	47	dι	dι	X
ejpam-5910	253	48	=	=	SYM
ejpam-5910	253	49	(	(	PUNCT
ejpam-5910	253	50	1−	1−	NUM
ejpam-5910	253	51	φ)pι	φ)pι	PROPN
ejpam-5910	253	52	+	+	PROPN
ejpam-5910	253	53	rι	rι	PROPN
ejpam-5910	253	54	.	.	PUNCT
ejpam-5910	253	55	(	(	PUNCT
ejpam-5910	253	56	38	38	NUM
ejpam-5910	253	57	)	)	PUNCT
ejpam-5910	253	58	using	use	VERB
ejpam-5910	253	59	the	the	DET
ejpam-5910	253	60	equations	equation	NOUN
ejpam-5910	253	61	(	(	PUNCT
ejpam-5910	253	62	32)-(37	32)-(37	NUM
ejpam-5910	253	63	)	)	PUNCT
ejpam-5910	253	64	in	in	ADP
ejpam-5910	253	65	eqs.(26)-(31	eqs.(26)-(31	NOUN
ejpam-5910	253	66	)	)	PUNCT
ejpam-5910	253	67	,	,	PUNCT
ejpam-5910	253	68	after	after	ADP
ejpam-5910	253	69	simplication	simplication	NOUN
ejpam-5910	253	70	we	we	PRON
ejpam-5910	253	71	obtain	obtain	VERB
ejpam-5910	253	72	q̃1(z	q̃1(z	NOUN
ejpam-5910	253	73	,	,	PUNCT
ejpam-5910	253	74	ϑ	ϑ	NOUN
ejpam-5910	253	75	)	)	PUNCT
ejpam-5910	253	76	=	=	SYM
ejpam-5910	253	77	1	1	NUM
ejpam-5910	253	78	ϑ−	ϑ−	PROPN
ejpam-5910	253	79	(	(	PUNCT
ejpam-5910	253	80	ν(z	ν(z	NOUN
ejpam-5910	253	81	)	)	PUNCT
ejpam-5910	253	82	)	)	PUNCT
ejpam-5910	253	83	{	{	PUNCT
ejpam-5910	253	84	[	[	PUNCT
ejpam-5910	253	85	ṽ	ṽ	PROPN
ejpam-5910	253	86	(	(	PUNCT
ejpam-5910	253	87	ν(z))−	ν(z))−	ADJ
ejpam-5910	253	88	ṽ	ṽ	PROPN
ejpam-5910	253	89	(	(	PUNCT
ejpam-5910	253	90	ϑ	ϑ	NOUN
ejpam-5910	253	91	)	)	PUNCT
ejpam-5910	253	92	]	]	X
ejpam-5910	253	93	[	[	PUNCT
ejpam-5910	253	94	(	(	PUNCT
ejpam-5910	253	95	1−	1−	NUM
ejpam-5910	253	96	φ	φ	NUM
ejpam-5910	253	97	)	)	PUNCT
ejpam-5910	253	98	b∑	b∑	PROPN
ejpam-5910	254	1	m	m	PROPN
ejpam-5910	254	2	=	=	NOUN
ejpam-5910	254	3	a	a	DET
ejpam-5910	254	4	bm,0(0	bm,0(0	NOUN
ejpam-5910	254	5	)	)	PUNCT
ejpam-5910	254	6	+	+	CCONJ
ejpam-5910	254	7	a−1∑	a−1∑	PRON
ejpam-5910	254	8	m=1	m=1	PROPN
ejpam-5910	254	9	lm,0(0	lm,0(0	PROPN
ejpam-5910	254	10	)	)	PUNCT
ejpam-5910	254	11	+	+	PROPN
ejpam-5910	254	12	r0(0	r0(0	PROPN
ejpam-5910	254	13	)	)	PUNCT
ejpam-5910	254	14	]	]	PUNCT
ejpam-5910	254	15	}	}	PUNCT
ejpam-5910	254	16	,	,	PUNCT
ejpam-5910	254	17	(	(	PUNCT
ejpam-5910	254	18	39	39	NUM
ejpam-5910	254	19	)	)	PUNCT
ejpam-5910	254	20	q̃f(z	q̃f(z	NOUN
ejpam-5910	254	21	,	,	PUNCT
ejpam-5910	254	22	ϑ	ϑ	NOUN
ejpam-5910	254	23	)	)	PUNCT
ejpam-5910	254	24	=	=	SYM
ejpam-5910	254	25	1	1	NUM
ejpam-5910	254	26	ϑ−	ϑ−	PROPN
ejpam-5910	254	27	(	(	PUNCT
ejpam-5910	254	28	ν(z	ν(z	NOUN
ejpam-5910	254	29	)	)	PUNCT
ejpam-5910	254	30	)	)	PUNCT
ejpam-5910	254	31	{	{	PUNCT
ejpam-5910	254	32	[	[	PUNCT
ejpam-5910	254	33	ṽ	ṽ	PROPN
ejpam-5910	254	34	(	(	PUNCT
ejpam-5910	254	35	ν(z))−	ν(z))−	ADJ
ejpam-5910	254	36	ṽ	ṽ	PROPN
ejpam-5910	254	37	(	(	PUNCT
ejpam-5910	254	38	ϑ	ϑ	NOUN
ejpam-5910	254	39	)	)	PUNCT
ejpam-5910	254	40	]	]	PUNCT
ejpam-5910	254	41	a−1∑	a−1∑	PRON
ejpam-5910	254	42	n=0	n=0	NUM
ejpam-5910	254	43	qf−1,n(0)z	qf−1,n(0)z	NOUN
ejpam-5910	254	44	n	n	CCONJ
ejpam-5910	254	45	}	}	PUNCT
ejpam-5910	254	46	,	,	PUNCT
ejpam-5910	254	47	f	f	PROPN
ejpam-5910	254	48	≥	≥	NUM
ejpam-5910	254	49	2	2	NUM
ejpam-5910	254	50	,	,	PUNCT
ejpam-5910	254	51	(	(	PUNCT
ejpam-5910	254	52	40	40	NUM
ejpam-5910	254	53	)	)	PUNCT
ejpam-5910	254	54	r̃(z	r̃(z	PROPN
ejpam-5910	254	55	,	,	PUNCT
ejpam-5910	254	56	ϑ	ϑ	NOUN
ejpam-5910	254	57	)	)	PUNCT
ejpam-5910	254	58	=	=	SYM
ejpam-5910	254	59	1	1	NUM
ejpam-5910	254	60	ϑ−	ϑ−	PROPN
ejpam-5910	254	61	(	(	PUNCT
ejpam-5910	254	62	ν(z	ν(z	NOUN
ejpam-5910	254	63	)	)	PUNCT
ejpam-5910	254	64	)	)	PUNCT
ejpam-5910	254	65	{	{	PUNCT
ejpam-5910	254	66	[	[	PUNCT
ejpam-5910	254	67	r̃(ν(z))−	r̃(ν(z))−	X
ejpam-5910	254	68	r̃(ϑ	r̃(ϑ	NOUN
ejpam-5910	254	69	)	)	PUNCT
ejpam-5910	254	70	]	]	PUNCT
ejpam-5910	255	1	φ	φ	PROPN
ejpam-5910	255	2	b∑	b∑	PROPN
ejpam-5910	255	3	m	m	PROPN
ejpam-5910	255	4	=	=	NOUN
ejpam-5910	255	5	a	a	DET
ejpam-5910	255	6	bm(z	bm(z	NOUN
ejpam-5910	255	7	,	,	PUNCT
ejpam-5910	255	8	0	0	NUM
ejpam-5910	255	9	)	)	PUNCT
ejpam-5910	255	10	}	}	PUNCT
ejpam-5910	255	11	,	,	PUNCT
ejpam-5910	255	12	(	(	PUNCT
ejpam-5910	255	13	41	41	NUM
ejpam-5910	255	14	)	)	PUNCT
ejpam-5910	255	15	karpagam	karpagam	PROPN
ejpam-5910	255	16	s	s	PROPN
ejpam-5910	255	17	,	,	PUNCT
ejpam-5910	255	18	aarthy	aarthy	ADJ
ejpam-5910	255	19	n	n	CCONJ
ejpam-5910	255	20	,	,	PUNCT
ejpam-5910	256	1	g.	g.	PROPN
ejpam-5910	256	2	k.	k.	PROPN
ejpam-5910	256	3	gupta	gupta	PROPN
ejpam-5910	256	4	/	/	SYM
ejpam-5910	256	5	eur	eur	PROPN
ejpam-5910	256	6	.	.	PUNCT
ejpam-5910	257	1	j.	j.	PROPN
ejpam-5910	257	2	pure	pure	PROPN
ejpam-5910	257	3	appl	appl	PROPN
ejpam-5910	257	4	.	.	PROPN
ejpam-5910	257	5	math	math	PROPN
ejpam-5910	257	6	,	,	PUNCT
ejpam-5910	257	7	18	18	NUM
ejpam-5910	257	8	(	(	PUNCT
ejpam-5910	257	9	3	3	NUM
ejpam-5910	257	10	)	)	PUNCT
ejpam-5910	257	11	(	(	PUNCT
ejpam-5910	257	12	2025	2025	NUM
ejpam-5910	257	13	)	)	PUNCT
ejpam-5910	257	14	,	,	PUNCT
ejpam-5910	257	15	5910	5910	NUM
ejpam-5910	257	16	12	12	NUM
ejpam-5910	257	17	of	of	ADP
ejpam-5910	257	18	28	28	NUM
ejpam-5910	257	19	l̃ι(z	l̃ι(z	PROPN
ejpam-5910	257	20	,	,	PUNCT
ejpam-5910	257	21	ϑ	ϑ	NOUN
ejpam-5910	257	22	)	)	PUNCT
ejpam-5910	257	23	=	=	SYM
ejpam-5910	257	24	1	1	NUM
ejpam-5910	257	25	ϑ−	ϑ−	PROPN
ejpam-5910	257	26	(	(	PUNCT
ejpam-5910	257	27	ν(z	ν(z	NOUN
ejpam-5910	257	28	)	)	PUNCT
ejpam-5910	257	29	)	)	PUNCT
ejpam-5910	257	30	{	{	PUNCT
ejpam-5910	257	31	[	[	PUNCT
ejpam-5910	257	32	c̃(ν(z))−	c̃(ν(z))−	NOUN
ejpam-5910	257	33	c̃(ϑ	c̃(ϑ	NOUN
ejpam-5910	257	34	)	)	PUNCT
ejpam-5910	257	35	]	]	PUNCT
ejpam-5910	257	36	[	[	PUNCT
ejpam-5910	257	37	(	(	PUNCT
ejpam-5910	257	38	1−	1−	NUM
ejpam-5910	257	39	φ	φ	NUM
ejpam-5910	257	40	)	)	PUNCT
ejpam-5910	257	41	b∑	b∑	PROPN
ejpam-5910	258	1	m	m	PROPN
ejpam-5910	258	2	=	=	PROPN
ejpam-5910	258	3	a	a	DET
ejpam-5910	258	4	bm	bm	PROPN
ejpam-5910	258	5	,	,	PUNCT
ejpam-5910	258	6	ι(0	ι(0	PROPN
ejpam-5910	258	7	)	)	PUNCT
ejpam-5910	258	8	+	+	CCONJ
ejpam-5910	258	9	a−1∑	a−1∑	PRON
ejpam-5910	258	10	m=1	m=1	PROPN
ejpam-5910	258	11	lm	lm	PROPN
ejpam-5910	258	12	,	,	PUNCT
ejpam-5910	258	13	ι(0	ι(0	PROPN
ejpam-5910	258	14	)	)	PUNCT
ejpam-5910	259	1	+	+	NOUN
ejpam-5910	259	2	rι(0	rι(0	X
ejpam-5910	259	3	)	)	PUNCT
ejpam-5910	259	4	]	]	PUNCT
ejpam-5910	259	5	}	}	PUNCT
ejpam-5910	259	6	,	,	PUNCT
ejpam-5910	259	7	1	1	NUM
ejpam-5910	259	8	≤	≤	NUM
ejpam-5910	259	9	ι	ι	PRON
ejpam-5910	259	10	≤	≤	ADJ
ejpam-5910	259	11	a−	a−	PROPN
ejpam-5910	259	12	1	1	NUM
ejpam-5910	259	13	,	,	PUNCT
ejpam-5910	259	14	(	(	PUNCT
ejpam-5910	259	15	42	42	NUM
ejpam-5910	259	16	)	)	PUNCT
ejpam-5910	259	17	b̃ι(z	b̃ι(z	PROPN
ejpam-5910	259	18	,	,	PUNCT
ejpam-5910	259	19	ϑ	ϑ	NOUN
ejpam-5910	259	20	)	)	PUNCT
ejpam-5910	259	21	=	=	SYM
ejpam-5910	259	22	1	1	NUM
ejpam-5910	259	23	ϑ−	ϑ−	PROPN
ejpam-5910	259	24	(	(	PUNCT
ejpam-5910	259	25	ν(z	ν(z	NOUN
ejpam-5910	259	26	)	)	PUNCT
ejpam-5910	259	27	)	)	PUNCT
ejpam-5910	259	28	{	{	PUNCT
ejpam-5910	259	29	[	[	PUNCT
ejpam-5910	259	30	s̃(ν(z))−	s̃(ν(z))−	X
ejpam-5910	259	31	s̃(ϑ	s̃(ϑ	NOUN
ejpam-5910	259	32	)	)	PUNCT
ejpam-5910	259	33	]	]	PUNCT
ejpam-5910	259	34	[	[	PUNCT
ejpam-5910	259	35	(	(	PUNCT
ejpam-5910	259	36	1−	1−	NUM
ejpam-5910	259	37	φ	φ	NUM
ejpam-5910	259	38	)	)	PUNCT
ejpam-5910	259	39	b∑	b∑	PROPN
ejpam-5910	259	40	m	m	PROPN
ejpam-5910	259	41	=	=	PROPN
ejpam-5910	259	42	a	a	DET
ejpam-5910	259	43	bm	bm	PROPN
ejpam-5910	259	44	,	,	PUNCT
ejpam-5910	259	45	ι(0	ι(0	PROPN
ejpam-5910	259	46	)	)	PUNCT
ejpam-5910	259	47	+	+	CCONJ
ejpam-5910	259	48	a−1∑	a−1∑	PRON
ejpam-5910	259	49	m=1	m=1	PROPN
ejpam-5910	259	50	lm	lm	PROPN
ejpam-5910	259	51	,	,	PUNCT
ejpam-5910	259	52	ι(0	ι(0	PROPN
ejpam-5910	259	53	)	)	PUNCT
ejpam-5910	259	54	+	+	CCONJ
ejpam-5910	259	55	∞∑	∞∑	NUM
ejpam-5910	259	56	l=1	l=1	PROPN
ejpam-5910	259	57	ql	ql	PROPN
ejpam-5910	259	58	,	,	PUNCT
ejpam-5910	259	59	ι(0	ι(0	PROPN
ejpam-5910	259	60	)	)	PUNCT
ejpam-5910	259	61	+	+	NOUN
ejpam-5910	259	62	rι(0	rι(0	X
ejpam-5910	259	63	)	)	PUNCT
ejpam-5910	259	64	]	]	PUNCT
ejpam-5910	259	65	}	}	PUNCT
ejpam-5910	259	66	,	,	PUNCT
ejpam-5910	259	67	a	a	DET
ejpam-5910	259	68	≤	≤	NOUN
ejpam-5910	259	69	ι	ι	PRON
ejpam-5910	259	70	≤	≤	ADJ
ejpam-5910	259	71	b−	b−	NOUN
ejpam-5910	259	72	1	1	NUM
ejpam-5910	259	73	,	,	PUNCT
ejpam-5910	259	74	(	(	PUNCT
ejpam-5910	259	75	43	43	NUM
ejpam-5910	259	76	)	)	PUNCT
ejpam-5910	259	77	b̃b(z	b̃b(z	PROPN
ejpam-5910	259	78	,	,	PUNCT
ejpam-5910	259	79	ϑ	ϑ	X
ejpam-5910	259	80	)	)	PUNCT
ejpam-5910	259	81	=	=	NOUN
ejpam-5910	259	82	[	[	PUNCT
ejpam-5910	259	83	s̃(ν(z))−	s̃(ν(z))−	X
ejpam-5910	259	84	s̃(ϑ	s̃(ϑ	NOUN
ejpam-5910	259	85	)	)	PUNCT
ejpam-5910	259	86	]	]	PUNCT
ejpam-5910	259	87	f(z	f(z	PROPN
ejpam-5910	259	88	)	)	PUNCT
ejpam-5910	259	89	(	(	PUNCT
ejpam-5910	259	90	ϑ−	ϑ−	PROPN
ejpam-5910	259	91	(	(	PUNCT
ejpam-5910	259	92	ν(z)))(zb	ν(z)))(zb	NOUN
ejpam-5910	259	93	−	−	ADP
ejpam-5910	259	94	ϵ(z	ϵ(z	NOUN
ejpam-5910	259	95	)	)	PUNCT
ejpam-5910	259	96	)	)	PUNCT
ejpam-5910	259	97	(	(	PUNCT
ejpam-5910	259	98	44	44	NUM
ejpam-5910	259	99	)	)	PUNCT
ejpam-5910	259	100	in	in	ADP
ejpam-5910	259	101	summary	summary	NOUN
ejpam-5910	259	102	,	,	PUNCT
ejpam-5910	259	103	the	the	DET
ejpam-5910	259	104	pgf	pgf	NOUN
ejpam-5910	259	105	associated	associate	VERB
ejpam-5910	259	106	with	with	ADP
ejpam-5910	259	107	the	the	DET
ejpam-5910	259	108	size	size	NOUN
ejpam-5910	259	109	of	of	ADP
ejpam-5910	259	110	the	the	DET
ejpam-5910	259	111	queue	queue	NOUN
ejpam-5910	259	112	is	be	AUX
ejpam-5910	259	113	p	p	X
ejpam-5910	259	114	(	(	PUNCT
ejpam-5910	259	115	z	z	NOUN
ejpam-5910	259	116	)	)	PUNCT
ejpam-5910	259	117	=	=	VERB
ejpam-5910	259	118	b−1∑	b−1∑	VERB
ejpam-5910	259	119	ι	ι	PRON
ejpam-5910	259	120	=	=	PRON
ejpam-5910	259	121	a	a	DET
ejpam-5910	259	122	b̃ι(z	b̃ι(z	NOUN
ejpam-5910	259	123	,	,	PUNCT
ejpam-5910	259	124	0	0	NUM
ejpam-5910	259	125	)	)	PUNCT
ejpam-5910	260	1	+	+	X
ejpam-5910	260	2	b̃b(z	b̃b(z	PROPN
ejpam-5910	260	3	,	,	PUNCT
ejpam-5910	260	4	0	0	NUM
ejpam-5910	260	5	)	)	PUNCT
ejpam-5910	260	6	+	+	CCONJ
ejpam-5910	260	7	a−1∑	a−1∑	PRON
ejpam-5910	260	8	ι=1	ι=1	ADP
ejpam-5910	260	9	l̃ι(z	l̃ι(z	PROPN
ejpam-5910	260	10	,	,	PUNCT
ejpam-5910	260	11	0	0	NUM
ejpam-5910	260	12	)	)	PUNCT
ejpam-5910	260	13	+	+	CCONJ
ejpam-5910	260	14	∞∑	∞∑	NUM
ejpam-5910	260	15	f=1	f=1	NUM
ejpam-5910	260	16	q̃f(z	q̃f(z	NOUN
ejpam-5910	260	17	,	,	PUNCT
ejpam-5910	260	18	0	0	NUM
ejpam-5910	260	19	)	)	PUNCT
ejpam-5910	260	20	+	+	CCONJ
ejpam-5910	261	1	r̃(z	r̃(z	PROPN
ejpam-5910	261	2	,	,	PUNCT
ejpam-5910	261	3	0	0	NUM
ejpam-5910	261	4	)	)	PUNCT
ejpam-5910	261	5	(	(	PUNCT
ejpam-5910	261	6	45	45	NUM
ejpam-5910	261	7	)	)	PUNCT
ejpam-5910	261	8	substituting	substitute	VERB
ejpam-5910	261	9	ϑ	ϑ	X
ejpam-5910	261	10	=	=	SYM
ejpam-5910	261	11	0	0	NUM
ejpam-5910	261	12	on	on	ADP
ejpam-5910	261	13	the	the	DET
ejpam-5910	261	14	eqs	eqs	PROPN
ejpam-5910	261	15	.	.	PUNCT
ejpam-5910	262	1	(	(	PUNCT
ejpam-5910	262	2	39)−	39)−	NUM
ejpam-5910	262	3	(	(	PUNCT
ejpam-5910	262	4	44	44	NUM
ejpam-5910	262	5	)	)	PUNCT
ejpam-5910	262	6	then	then	ADV
ejpam-5910	262	7	the	the	DET
ejpam-5910	262	8	eqn.(45	eqn.(45	PROPN
ejpam-5910	262	9	)	)	PUNCT
ejpam-5910	262	10	as	as	SCONJ
ejpam-5910	262	11	follows	follow	VERB
ejpam-5910	262	12	:	:	PUNCT
ejpam-5910	262	13	p	p	X
ejpam-5910	262	14	(	(	PUNCT
ejpam-5910	262	15	z	z	NOUN
ejpam-5910	262	16	)	)	PUNCT
ejpam-5910	262	17	=	=	PUNCT
ejpam-5910	263	1	[	[	PUNCT
ejpam-5910	263	2	s̃(v(z))−	s̃(v(z))−	NOUN
ejpam-5910	263	3	1	1	NUM
ejpam-5910	263	4	]	]	PUNCT
ejpam-5910	263	5	b−1∑	b−1∑	VERB
ejpam-5910	263	6	ι	ι	PRON
ejpam-5910	263	7	=	=	PRON
ejpam-5910	263	8	a	a	X
ejpam-5910	263	9	[	[	PUNCT
ejpam-5910	263	10	(	(	PUNCT
ejpam-5910	263	11	1−	1−	NUM
ejpam-5910	263	12	φ	φ	NUM
ejpam-5910	263	13	)	)	PUNCT
ejpam-5910	263	14	b∑	b∑	PROPN
ejpam-5910	264	1	m	m	PROPN
ejpam-5910	264	2	=	=	PROPN
ejpam-5910	264	3	a	a	DET
ejpam-5910	264	4	bm	bm	PROPN
ejpam-5910	264	5	,	,	PUNCT
ejpam-5910	264	6	ι(0	ι(0	PROPN
ejpam-5910	264	7	)	)	PUNCT
ejpam-5910	264	8	+	+	CCONJ
ejpam-5910	264	9	a−1∑	a−1∑	PRON
ejpam-5910	264	10	m=1	m=1	PROPN
ejpam-5910	264	11	lm	lm	PROPN
ejpam-5910	264	12	,	,	PUNCT
ejpam-5910	264	13	ι(0	ι(0	PROPN
ejpam-5910	264	14	)	)	PUNCT
ejpam-5910	265	1	+	+	CCONJ
ejpam-5910	265	2	∞∑	∞∑	NUM
ejpam-5910	265	3	l=1	l=1	PROPN
ejpam-5910	265	4	ql	ql	PROPN
ejpam-5910	265	5	,	,	PUNCT
ejpam-5910	265	6	ι(0	ι(0	PROPN
ejpam-5910	265	7	)	)	PUNCT
ejpam-5910	266	1	+	+	NOUN
ejpam-5910	266	2	rι(0	rι(0	X
ejpam-5910	266	3	)	)	PUNCT
ejpam-5910	266	4	]	]	PUNCT
ejpam-5910	267	1	−(ν(z	−(ν(z	X
ejpam-5910	267	2	)	)	PUNCT
ejpam-5910	267	3	)	)	PUNCT
ejpam-5910	268	1	+	+	CCONJ
ejpam-5910	268	2	[	[	PUNCT
ejpam-5910	268	3	c̃(ν(z))−	c̃(ν(z))−	NOUN
ejpam-5910	268	4	1	1	NUM
ejpam-5910	268	5	]	]	PUNCT
ejpam-5910	268	6	a−1∑	a−1∑	X
ejpam-5910	268	7	ι=1	ι=1	ADP
ejpam-5910	268	8	[	[	PUNCT
ejpam-5910	268	9	(	(	PUNCT
ejpam-5910	268	10	1−	1−	NUM
ejpam-5910	268	11	φ	φ	NUM
ejpam-5910	268	12	)	)	PUNCT
ejpam-5910	268	13	b∑	b∑	PROPN
ejpam-5910	268	14	m	m	PROPN
ejpam-5910	268	15	=	=	PROPN
ejpam-5910	268	16	a	a	DET
ejpam-5910	268	17	bm	bm	PROPN
ejpam-5910	268	18	,	,	PUNCT
ejpam-5910	268	19	ι(0	ι(0	PROPN
ejpam-5910	268	20	)	)	PUNCT
ejpam-5910	268	21	+	+	CCONJ
ejpam-5910	268	22	a−1∑	a−1∑	PRON
ejpam-5910	268	23	m=1	m=1	PROPN
ejpam-5910	268	24	lm	lm	PROPN
ejpam-5910	268	25	,	,	PUNCT
ejpam-5910	268	26	ι(0	ι(0	PROPN
ejpam-5910	268	27	)	)	PUNCT
ejpam-5910	268	28	+	+	NOUN
ejpam-5910	268	29	rι(0	rι(0	X
ejpam-5910	268	30	)	)	PUNCT
ejpam-5910	268	31	]	]	PUNCT
ejpam-5910	269	1	−(ν(z	−(ν(z	X
ejpam-5910	269	2	)	)	PUNCT
ejpam-5910	269	3	)	)	PUNCT
ejpam-5910	270	1	+	+	CCONJ
ejpam-5910	270	2	[	[	PUNCT
ejpam-5910	270	3	ṽ	ṽ	PROPN
ejpam-5910	270	4	(	(	PUNCT
ejpam-5910	270	5	ν(z))−	ν(z))−	ADJ
ejpam-5910	270	6	1	1	NUM
ejpam-5910	270	7	]	]	PUNCT
ejpam-5910	270	8	∞∑	∞∑	NUM
ejpam-5910	270	9	f=1	f=1	PRON
ejpam-5910	270	10	[	[	PUNCT
ejpam-5910	270	11	(	(	PUNCT
ejpam-5910	270	12	1−	1−	NUM
ejpam-5910	270	13	φ	φ	NUM
ejpam-5910	270	14	)	)	PUNCT
ejpam-5910	270	15	b∑	b∑	PROPN
ejpam-5910	270	16	m	m	PROPN
ejpam-5910	270	17	=	=	NOUN
ejpam-5910	270	18	a	a	DET
ejpam-5910	270	19	bm,0(0	bm,0(0	NOUN
ejpam-5910	270	20	)	)	PUNCT
ejpam-5910	270	21	+	+	CCONJ
ejpam-5910	270	22	a−1∑	a−1∑	PRON
ejpam-5910	270	23	m=1	m=1	PROPN
ejpam-5910	270	24	lm,0(0	lm,0(0	PROPN
ejpam-5910	270	25	)	)	PUNCT
ejpam-5910	271	1	+	+	CCONJ
ejpam-5910	271	2	a−1∑	a−1∑	PRON
ejpam-5910	271	3	n=0	n=0	NUM
ejpam-5910	271	4	qn(0)z	qn(0)z	NOUN
ejpam-5910	271	5	n	n	PRON
ejpam-5910	271	6	+	+	NOUN
ejpam-5910	271	7	r0(0	r0(0	NOUN
ejpam-5910	271	8	)	)	PUNCT
ejpam-5910	271	9	]	]	PUNCT
ejpam-5910	272	1	−(ν(z	−(ν(z	NOUN
ejpam-5910	272	2	)	)	PUNCT
ejpam-5910	272	3	)	)	PUNCT
ejpam-5910	273	1	+	+	CCONJ
ejpam-5910	273	2	[	[	PUNCT
ejpam-5910	273	3	r̃(ν(z))−	r̃(ν(z))−	X
ejpam-5910	273	4	1	1	NUM
ejpam-5910	273	5	]	]	PUNCT
ejpam-5910	273	6	φ	φ	PROPN
ejpam-5910	273	7	b∑	b∑	PROPN
ejpam-5910	273	8	m	m	PROPN
ejpam-5910	273	9	=	=	NOUN
ejpam-5910	273	10	a	a	PRON
ejpam-5910	273	11	bm(z	bm(z	NOUN
ejpam-5910	273	12	,	,	PUNCT
ejpam-5910	273	13	0	0	NUM
ejpam-5910	273	14	)	)	PUNCT
ejpam-5910	273	15	−(ν(z	−(ν(z	NOUN
ejpam-5910	273	16	)	)	PUNCT
ejpam-5910	273	17	)	)	PUNCT
ejpam-5910	274	1	+	+	CCONJ
ejpam-5910	274	2	[	[	PUNCT
ejpam-5910	274	3	s̃(ν(z))−	s̃(ν(z))−	ADP
ejpam-5910	274	4	1	1	NUM
ejpam-5910	274	5	]	]	PUNCT
ejpam-5910	274	6	f(z	f(z	PROPN
ejpam-5910	274	7	)	)	PUNCT
ejpam-5910	274	8	−(ν(z))(zb	−(ν(z))(zb	NOUN
ejpam-5910	275	1	−	−	ADP
ejpam-5910	275	2	ϵ(z	ϵ(z	NUM
ejpam-5910	275	3	)	)	PUNCT
ejpam-5910	275	4	)	)	PUNCT
ejpam-5910	275	5	.	.	PUNCT
ejpam-5910	276	1	karpagam	karpagam	PROPN
ejpam-5910	276	2	s	s	PROPN
ejpam-5910	276	3	,	,	PUNCT
ejpam-5910	276	4	aarthy	aarthy	ADJ
ejpam-5910	276	5	n	n	CCONJ
ejpam-5910	276	6	,	,	PUNCT
ejpam-5910	276	7	g.	g.	PROPN
ejpam-5910	276	8	k.	k.	PROPN
ejpam-5910	276	9	gupta	gupta	PROPN
ejpam-5910	276	10	/	/	SYM
ejpam-5910	276	11	eur	eur	PROPN
ejpam-5910	276	12	.	.	PUNCT
ejpam-5910	277	1	j.	j.	PROPN
ejpam-5910	277	2	pure	pure	PROPN
ejpam-5910	277	3	appl	appl	PROPN
ejpam-5910	277	4	.	.	PROPN
ejpam-5910	277	5	math	math	PROPN
ejpam-5910	277	6	,	,	PUNCT
ejpam-5910	277	7	18	18	NUM
ejpam-5910	277	8	(	(	PUNCT
ejpam-5910	277	9	3	3	NUM
ejpam-5910	277	10	)	)	PUNCT
ejpam-5910	277	11	(	(	PUNCT
ejpam-5910	277	12	2025	2025	NUM
ejpam-5910	277	13	)	)	PUNCT
ejpam-5910	277	14	,	,	PUNCT
ejpam-5910	277	15	5910	5910	NUM
ejpam-5910	277	16	13	13	NUM
ejpam-5910	277	17	of	of	ADP
ejpam-5910	277	18	28	28	NUM
ejpam-5910	277	19	using	use	VERB
ejpam-5910	277	20	eqn.38	eqn.38	NOUN
ejpam-5910	277	21	in	in	ADP
ejpam-5910	277	22	the	the	DET
ejpam-5910	277	23	above	above	ADJ
ejpam-5910	277	24	equation	equation	NOUN
ejpam-5910	277	25	,	,	PUNCT
ejpam-5910	277	26	the	the	DET
ejpam-5910	277	27	result	result	NOUN
ejpam-5910	277	28	is	be	AUX
ejpam-5910	277	29	:	:	PUNCT
ejpam-5910	277	30	p	p	X
ejpam-5910	277	31	(	(	PUNCT
ejpam-5910	277	32	z	z	NOUN
ejpam-5910	277	33	)	)	PUNCT
ejpam-5910	277	34	=	=	SYM
ejpam-5910	277	35			X
ejpam-5910	277	36	[	[	PUNCT
ejpam-5910	277	37	(	(	PUNCT
ejpam-5910	277	38	1−	1−	NUM
ejpam-5910	277	39	φ)s̃(ν(z	φ)s̃(ν(z	NOUN
ejpam-5910	277	40	)	)	PUNCT
ejpam-5910	277	41	)	)	PUNCT
ejpam-5910	278	1	+	+	CCONJ
ejpam-5910	278	2	φs̃(ν(z))r̃(ν(z))−	φs̃(ν(z))r̃(ν(z))−	ADJ
ejpam-5910	278	3	1	1	NUM
ejpam-5910	278	4	]	]	PUNCT
ejpam-5910	278	5	b−1∑	b−1∑	VERB
ejpam-5910	278	6	ι	ι	PRON
ejpam-5910	278	7	=	=	PRON
ejpam-5910	278	8	a	a	DET
ejpam-5910	278	9	[	[	X
ejpam-5910	278	10	zb	zb	X
ejpam-5910	278	11	−	−	NOUN
ejpam-5910	278	12	zι]cι+	zι]cι+	PROPN
ejpam-5910	278	13	[	[	PUNCT
ejpam-5910	278	14	s̃(ν(z))−	s̃(ν(z))−	AUX
ejpam-5910	278	15	zb	zb	AUX
ejpam-5910	278	16	+	+	X
ejpam-5910	278	17	c̃(ν(z))(zb	c̃(ν(z))(zb	ADJ
ejpam-5910	278	18	−	−	ADP
ejpam-5910	278	19	1	1	NUM
ejpam-5910	278	20	)	)	PUNCT
ejpam-5910	278	21	+	+	NUM
ejpam-5910	278	22	φs̃(ν(z	φs̃(ν(z	NOUN
ejpam-5910	278	23	)	)	PUNCT
ejpam-5910	278	24	)	)	PUNCT
ejpam-5910	278	25	(	(	PUNCT
ejpam-5910	278	26	r̃(ν(z))−	r̃(ν(z))−	NOUN
ejpam-5910	278	27	1	1	NUM
ejpam-5910	278	28	)	)	PUNCT
ejpam-5910	278	29	]	]	PUNCT
ejpam-5910	278	30	a−1∑	a−1∑	X
ejpam-5910	278	31	ι=1	ι=1	AUX
ejpam-5910	278	32	fι	fι	VERB
ejpam-5910	278	33	+	+	X
ejpam-5910	278	34	[	[	PUNCT
ejpam-5910	278	35	ṽ	ṽ	PROPN
ejpam-5910	278	36	(	(	PUNCT
ejpam-5910	278	37	ν(z))−	ν(z))−	ADJ
ejpam-5910	278	38	1	1	NUM
ejpam-5910	278	39	]	]	PUNCT
ejpam-5910	278	40	(	(	PUNCT
ejpam-5910	278	41	zb	zb	X
ejpam-5910	278	42	−	−	PROPN
ejpam-5910	278	43	1)[f0	1)[f0	PROPN
ejpam-5910	278	44	+	+	CCONJ
ejpam-5910	278	45	a−1∑	a−1∑	PRON
ejpam-5910	278	46	n=0	n=0	NUM
ejpam-5910	278	47	qnz	qnz	NOUN
ejpam-5910	278	48	n]−	n]−	ADV
ejpam-5910	278	49	[	[	PUNCT
ejpam-5910	278	50	s̃(ν(z))(1−	s̃(ν(z))(1−	PROPN
ejpam-5910	278	51	φ	φ	NUM
ejpam-5910	278	52	)	)	PUNCT
ejpam-5910	278	53	+	+	CCONJ
ejpam-5910	278	54	φs̃(ν(z))r̃(ν(z))−	φs̃(ν(z))r̃(ν(z))−	ADJ
ejpam-5910	278	55	1	1	NUM
ejpam-5910	278	56	]	]	PUNCT
ejpam-5910	278	57	a−1∑	a−1∑	X
ejpam-5910	278	58	ι=1	ι=1	ADP
ejpam-5910	278	59	fιz	fιz	NOUN
ejpam-5910	278	60	ι	ι	PRON
ejpam-5910	278	61			NOUN
ejpam-5910	278	62	−(ν(z))(zb	−(ν(z))(zb	NOUN
ejpam-5910	278	63	−	−	ADP
ejpam-5910	278	64	ϵ(z	ϵ(z	NOUN
ejpam-5910	278	65	)	)	PUNCT
ejpam-5910	278	66	)	)	PUNCT
ejpam-5910	278	67	(	(	PUNCT
ejpam-5910	278	68	46	46	NUM
ejpam-5910	278	69	)	)	PUNCT
ejpam-5910	278	70	where	where	SCONJ
ejpam-5910	278	71	cι	cι	NOUN
ejpam-5910	278	72	=	=	PUNCT
ejpam-5910	278	73	(	(	PUNCT
ejpam-5910	278	74	1	1	NUM
ejpam-5910	278	75	−	−	PROPN
ejpam-5910	278	76	φ)pι	φ)pι	PROPN
ejpam-5910	279	1	+	+	CCONJ
ejpam-5910	280	1	lι	lι	ADV
ejpam-5910	280	2	+	+	NOUN
ejpam-5910	280	3	qι	qι	INTJ
ejpam-5910	280	4	+	+	CCONJ
ejpam-5910	280	5	rι	rι	INTJ
ejpam-5910	280	6	and	and	CCONJ
ejpam-5910	280	7	fι	fι	VERB
ejpam-5910	280	8	=	=	PUNCT
ejpam-5910	280	9	(	(	PUNCT
ejpam-5910	280	10	1	1	NUM
ejpam-5910	280	11	−	−	PROPN
ejpam-5910	280	12	φ)pι	φ)pι	PROPN
ejpam-5910	281	1	+	+	CCONJ
ejpam-5910	282	1	lι	lι	PROPN
ejpam-5910	282	2	+	+	X
ejpam-5910	282	3	rι	rι	ADJ
ejpam-5910	282	4	.	.	PUNCT
ejpam-5910	283	1	the	the	DET
ejpam-5910	283	2	above	above	ADJ
ejpam-5910	283	3	equation	equation	NOUN
ejpam-5910	283	4	represents	represent	VERB
ejpam-5910	283	5	the	the	DET
ejpam-5910	283	6	number	number	NOUN
ejpam-5910	283	7	of	of	ADP
ejpam-5910	283	8	customers	customer	NOUN
ejpam-5910	283	9	in	in	ADP
ejpam-5910	283	10	the	the	DET
ejpam-5910	283	11	queue	queue	NOUN
ejpam-5910	283	12	’s	’s	PART
ejpam-5910	283	13	pgf	pgf	NOUN
ejpam-5910	283	14	.	.	PUNCT
ejpam-5910	284	1	5.1	5.1	NUM
ejpam-5910	284	2	.	.	PUNCT
ejpam-5910	285	1	steady	steady	ADJ
ejpam-5910	285	2	-	-	PUNCT
ejpam-5910	285	3	state	state	NOUN
ejpam-5910	285	4	condition	condition	NOUN
ejpam-5910	285	5	it	it	PRON
ejpam-5910	285	6	is	be	AUX
ejpam-5910	285	7	necessary	necessary	ADJ
ejpam-5910	285	8	for	for	SCONJ
ejpam-5910	285	9	the	the	DET
ejpam-5910	285	10	probability	probability	NOUN
ejpam-5910	285	11	-	-	PUNCT
ejpam-5910	285	12	generating	generate	VERB
ejpam-5910	285	13	function	function	NOUN
ejpam-5910	285	14	p	p	NOUN
ejpam-5910	285	15	(	(	PUNCT
ejpam-5910	285	16	z	z	NOUN
ejpam-5910	285	17	)	)	PUNCT
ejpam-5910	285	18	to	to	PART
ejpam-5910	285	19	have	have	VERB
ejpam-5910	285	20	the	the	DET
ejpam-5910	285	21	value	value	NOUN
ejpam-5910	285	22	p	p	NOUN
ejpam-5910	285	23	(	(	PUNCT
ejpam-5910	285	24	1	1	NUM
ejpam-5910	285	25	)	)	PUNCT
ejpam-5910	285	26	=	=	SYM
ejpam-5910	285	27	1	1	X
ejpam-5910	285	28	.	.	PUNCT
ejpam-5910	286	1	l’hospital	l’hospital	PROPN
ejpam-5910	286	2	’s	’s	PART
ejpam-5910	286	3	rule	rule	NOUN
ejpam-5910	286	4	employed	employ	VERB
ejpam-5910	286	5	to	to	PART
ejpam-5910	286	6	evaluate	evaluate	VERB
ejpam-5910	286	7	the	the	DET
ejpam-5910	286	8	equation	equation	NOUN
ejpam-5910	286	9	lim	lim	NOUN
ejpam-5910	286	10	z→1	z→1	PROPN
ejpam-5910	286	11	p	p	X
ejpam-5910	286	12	(	(	PUNCT
ejpam-5910	286	13	z	z	NOUN
ejpam-5910	286	14	)	)	PUNCT
ejpam-5910	286	15	,	,	PUNCT
ejpam-5910	286	16	yielding	yield	VERB
ejpam-5910	286	17	a	a	DET
ejpam-5910	286	18	value	value	NOUN
ejpam-5910	286	19	of	of	ADP
ejpam-5910	286	20	1	1	NUM
ejpam-5910	286	21	.	.	PUNCT
ejpam-5910	287	1	if	if	SCONJ
ejpam-5910	287	2	it	it	PRON
ejpam-5910	287	3	is	be	AUX
ejpam-5910	287	4	possible	possible	ADJ
ejpam-5910	287	5	to	to	PART
ejpam-5910	287	6	meets	meet	VERB
ejpam-5910	287	7	the	the	DET
ejpam-5910	287	8	condition	condition	NOUN
ejpam-5910	287	9	,	,	PUNCT
ejpam-5910	287	10	it	it	PRON
ejpam-5910	287	11	follows	follow	VERB
ejpam-5910	287	12	that	that	SCONJ
ejpam-5910	287	13	ρ	ρ	PROPN
ejpam-5910	287	14	<	<	X
ejpam-5910	287	15	1	1	NUM
ejpam-5910	287	16	is	be	AUX
ejpam-5910	287	17	necessary	necessary	ADJ
ejpam-5910	287	18	for	for	SCONJ
ejpam-5910	287	19	the	the	DET
ejpam-5910	287	20	model	model	NOUN
ejpam-5910	287	21	under	under	ADP
ejpam-5910	287	22	consideration	consideration	NOUN
ejpam-5910	287	23	to	to	PART
ejpam-5910	287	24	have	have	VERB
ejpam-5910	287	25	a	a	DET
ejpam-5910	287	26	steady	steady	ADJ
ejpam-5910	287	27	state	state	NOUN
ejpam-5910	287	28	.	.	PUNCT
ejpam-5910	288	1	then	then	ADV
ejpam-5910	288	2	ρ	ρ	PROPN
ejpam-5910	288	3	=	=	SYM
ejpam-5910	288	4	λe(x)[e(s	λe(x)[e(s	PROPN
ejpam-5910	288	5	)	)	PUNCT
ejpam-5910	289	1	+	+	NUM
ejpam-5910	289	2	φe(r	φe(r	NOUN
ejpam-5910	289	3	)	)	PUNCT
ejpam-5910	289	4	]	]	PUNCT
ejpam-5910	289	5	b	b	X
ejpam-5910	289	6	(	(	PUNCT
ejpam-5910	289	7	47	47	NUM
ejpam-5910	289	8	)	)	PUNCT
ejpam-5910	289	9	5.2	5.2	NUM
ejpam-5910	289	10	.	.	PUNCT
ejpam-5910	290	1	computation	computation	NOUN
ejpam-5910	290	2	features	feature	VERB
ejpam-5910	290	3	equation	equation	NOUN
ejpam-5910	290	4	(	(	PUNCT
ejpam-5910	290	5	46	46	NUM
ejpam-5910	290	6	)	)	PUNCT
ejpam-5910	290	7	has	have	VERB
ejpam-5910	290	8	‘	'	PUNCT
ejpam-5910	290	9	b	b	X
ejpam-5910	290	10	+	+	CCONJ
ejpam-5910	290	11	a	a	DET
ejpam-5910	290	12	’	'	PUNCT
ejpam-5910	290	13	unknowns	unknown	NOUN
ejpam-5910	290	14	q0	q0	PROPN
ejpam-5910	290	15	,	,	PUNCT
ejpam-5910	290	16	q1	q1	PROPN
ejpam-5910	290	17	,	,	PUNCT
ejpam-5910	290	18	...	...	PUNCT
ejpam-5910	290	19	,	,	PUNCT
ejpam-5910	290	20	qa−1	qa−1	PROPN
ejpam-5910	290	21	,	,	PUNCT
ejpam-5910	290	22	f0	f0	PROPN
ejpam-5910	290	23	,	,	PUNCT
ejpam-5910	290	24	f1	f1	NOUN
ejpam-5910	290	25	,	,	PUNCT
ejpam-5910	290	26	f2	f2	PROPN
ejpam-5910	290	27	,	,	PUNCT
ejpam-5910	290	28	...	...	PUNCT
ejpam-5910	290	29	,	,	PUNCT
ejpam-5910	290	30	fa−1	fa−1	PROPN
ejpam-5910	290	31	,	,	PUNCT
ejpam-5910	290	32	ca	can	AUX
ejpam-5910	290	33	,	,	PUNCT
ejpam-5910	290	34	ca+1	ca+1	PROPN
ejpam-5910	290	35	,	,	PUNCT
ejpam-5910	290	36	...	...	PUNCT
ejpam-5910	290	37	,	,	PUNCT
ejpam-5910	290	38	cb−1	cb−1	PROPN
ejpam-5910	290	39	.	.	PUNCT
ejpam-5910	291	1	theorem	theorem	ADJ
ejpam-5910	291	2	1	1	NUM
ejpam-5910	291	3	shows	show	VERB
ejpam-5910	291	4	that	that	SCONJ
ejpam-5910	291	5	qi	qi	PROPN
ejpam-5910	291	6	can	can	AUX
ejpam-5910	291	7	be	be	AUX
ejpam-5910	291	8	written	write	VERB
ejpam-5910	291	9	as	as	ADP
ejpam-5910	291	10	a	a	DET
ejpam-5910	291	11	function	function	NOUN
ejpam-5910	291	12	of	of	ADP
ejpam-5910	291	13	f0	f0	PROPN
ejpam-5910	291	14	with	with	ADP
ejpam-5910	291	15	the	the	DET
ejpam-5910	291	16	numerator	numerator	NOUN
ejpam-5910	291	17	containing	contain	VERB
ejpam-5910	291	18	only	only	ADV
ejpam-5910	291	19	‘	'	PUNCT
ejpam-5910	291	20	b	b	X
ejpam-5910	291	21	’	'	PUNCT
ejpam-5910	291	22	constants.the	constants.the	PRON
ejpam-5910	291	23	equation	equation	NOUN
ejpam-5910	291	24	(	(	PUNCT
ejpam-5910	291	25	46	46	NUM
ejpam-5910	291	26	)	)	PUNCT
ejpam-5910	291	27	serves	serve	VERB
ejpam-5910	291	28	as	as	ADP
ejpam-5910	291	29	the	the	DET
ejpam-5910	291	30	probability	probability	NOUN
ejpam-5910	291	31	-	-	PUNCT
ejpam-5910	291	32	generating	generate	VERB
ejpam-5910	291	33	function	function	NOUN
ejpam-5910	291	34	of	of	ADP
ejpam-5910	291	35	the	the	DET
ejpam-5910	291	36	number	number	NOUN
ejpam-5910	291	37	of	of	ADP
ejpam-5910	291	38	customers	customer	NOUN
ejpam-5910	291	39	involving	involve	VERB
ejpam-5910	291	40	‘	'	PUNCT
ejpam-5910	291	41	b	b	X
ejpam-5910	291	42	’	'	PUNCT
ejpam-5910	291	43	unknowns	unknown	NOUN
ejpam-5910	291	44	.	.	PUNCT
ejpam-5910	292	1	by	by	ADP
ejpam-5910	292	2	rouche	rouche	PROPN
ejpam-5910	292	3	’s	’s	PART
ejpam-5910	292	4	theorem	theorem	PROPN
ejpam-5910	292	5	,	,	PUNCT
ejpam-5910	292	6	zb	zb	NOUN
ejpam-5910	292	7	−	−	NOUN
ejpam-5910	292	8	ϵ(z	ϵ(z	NOUN
ejpam-5910	292	9	)	)	PUNCT
ejpam-5910	292	10	has	have	VERB
ejpam-5910	292	11	one	one	NUM
ejpam-5910	292	12	on	on	ADP
ejpam-5910	292	13	the	the	DET
ejpam-5910	292	14	unit	unit	NOUN
ejpam-5910	292	15	circle	circle	NOUN
ejpam-5910	292	16	|z|	|z|	NOUN
ejpam-5910	292	17	=	=	SYM
ejpam-5910	292	18	1	1	NUM
ejpam-5910	292	19	and	and	CCONJ
ejpam-5910	292	20	b−	b−	PROPN
ejpam-5910	292	21	1	1	NUM
ejpam-5910	292	22	zeros	zero	NOUN
ejpam-5910	292	23	inside	inside	ADV
ejpam-5910	292	24	.	.	PUNCT
ejpam-5910	293	1	since	since	SCONJ
ejpam-5910	293	2	p	p	PROPN
ejpam-5910	293	3	(	(	PUNCT
ejpam-5910	293	4	z	z	NOUN
ejpam-5910	293	5	)	)	PUNCT
ejpam-5910	293	6	is	be	AUX
ejpam-5910	293	7	analytic	analytic	ADJ
ejpam-5910	293	8	inside	inside	ADV
ejpam-5910	293	9	and	and	CCONJ
ejpam-5910	293	10	on	on	ADP
ejpam-5910	293	11	the	the	DET
ejpam-5910	293	12	unit	unit	NOUN
ejpam-5910	293	13	circle	circle	NOUN
ejpam-5910	293	14	,	,	PUNCT
ejpam-5910	293	15	it	it	PRON
ejpam-5910	293	16	yields	yield	VERB
ejpam-5910	293	17	‘	'	PUNCT
ejpam-5910	293	18	b	b	NUM
ejpam-5910	293	19	’	'	PUNCT
ejpam-5910	293	20	equations	equation	NOUN
ejpam-5910	293	21	and	and	CCONJ
ejpam-5910	293	22	‘	'	PUNCT
ejpam-5910	293	23	b	b	X
ejpam-5910	293	24	’	'	PUNCT
ejpam-5910	293	25	unknowns	unknown	NOUN
ejpam-5910	293	26	,	,	PUNCT
ejpam-5910	293	27	necessitating	necessitate	VERB
ejpam-5910	293	28	the	the	DET
ejpam-5910	293	29	numerator	numerator	NOUN
ejpam-5910	293	30	to	to	PART
ejpam-5910	293	31	vanish	vanish	VERB
ejpam-5910	293	32	at	at	ADP
ejpam-5910	293	33	these	these	DET
ejpam-5910	293	34	points	point	NOUN
ejpam-5910	293	35	.	.	PUNCT
ejpam-5910	294	1	gauss	gauss	ADJ
ejpam-5910	294	2	elimination	elimination	NOUN
ejpam-5910	294	3	method	method	NOUN
ejpam-5910	294	4	is	be	AUX
ejpam-5910	294	5	employed	employ	VERB
ejpam-5910	294	6	to	to	PART
ejpam-5910	294	7	solve	solve	VERB
ejpam-5910	294	8	these	these	DET
ejpam-5910	294	9	equations	equation	NOUN
ejpam-5910	294	10	.	.	PUNCT
ejpam-5910	295	1	theorem	theorem	NOUN
ejpam-5910	295	2	1	1	NUM
ejpam-5910	295	3	.	.	PUNCT
ejpam-5910	296	1	qn	qn	NOUN
ejpam-5910	296	2	=	=	X
ejpam-5910	296	3	(	(	PUNCT
ejpam-5910	296	4	βnf0	βnf0	VERB
ejpam-5910	296	5	+	+	CCONJ
ejpam-5910	296	6	n−1∑	n−1∑	PROPN
ejpam-5910	296	7	κ=0	κ=0	PROPN
ejpam-5910	296	8	qκβn−κ	qκβn−κ	VERB
ejpam-5910	296	9	)	)	PUNCT
ejpam-5910	296	10	1−	1−	NUM
ejpam-5910	296	11	β0	β0	NOUN
ejpam-5910	296	12	,	,	PUNCT
ejpam-5910	296	13	n	n	NOUN
ejpam-5910	296	14	=	=	SYM
ejpam-5910	296	15	1	1	NUM
ejpam-5910	296	16	,	,	PUNCT
ejpam-5910	296	17	2	2	NUM
ejpam-5910	296	18	,	,	PUNCT
ejpam-5910	296	19	...	...	PUNCT
ejpam-5910	296	20	,	,	PUNCT
ejpam-5910	296	21	a−	a−	PROPN
ejpam-5910	296	22	1	1	NUM
ejpam-5910	296	23	,	,	PUNCT
ejpam-5910	296	24	q0	q0	PROPN
ejpam-5910	296	25	=	=	SYM
ejpam-5910	296	26	β0	β0	PROPN
ejpam-5910	296	27	1−	1−	NUM
ejpam-5910	296	28	β0	β0	PROPN
ejpam-5910	296	29	f0	f0	PROPN
ejpam-5910	296	30	,	,	PUNCT
ejpam-5910	296	31	where	where	SCONJ
ejpam-5910	296	32	f0	f0	PROPN
ejpam-5910	296	33	=	=	SYM
ejpam-5910	296	34	(	(	PUNCT
ejpam-5910	296	35	1−φ)p0	1−φ)p0	NUM
ejpam-5910	296	36	+	+	CCONJ
ejpam-5910	296	37	l0	l0	NOUN
ejpam-5910	296	38	+	+	NOUN
ejpam-5910	296	39	r0	r0	NOUN
ejpam-5910	296	40	and	and	CCONJ
ejpam-5910	296	41	‘	'	PUNCT
ejpam-5910	296	42	κ	κ	NOUN
ejpam-5910	296	43	’	'	PUNCT
ejpam-5910	296	44	customers	customer	NOUN
ejpam-5910	296	45	probability	probability	NOUN
ejpam-5910	296	46	of	of	ADP
ejpam-5910	296	47	arriving	arrive	VERB
ejpam-5910	296	48	while	while	SCONJ
ejpam-5910	296	49	on	on	ADP
ejpam-5910	296	50	vacation	vacation	NOUN
ejpam-5910	296	51	is	be	AUX
ejpam-5910	296	52	denoted	denote	VERB
ejpam-5910	296	53	by	by	ADP
ejpam-5910	296	54	βκ	βκ	INTJ
ejpam-5910	296	55	.	.	PUNCT
ejpam-5910	297	1	karpagam	karpagam	PROPN
ejpam-5910	297	2	s	s	PROPN
ejpam-5910	297	3	,	,	PUNCT
ejpam-5910	297	4	aarthy	aarthy	ADJ
ejpam-5910	297	5	n	n	CCONJ
ejpam-5910	297	6	,	,	PUNCT
ejpam-5910	297	7	g.	g.	PROPN
ejpam-5910	297	8	k.	k.	PROPN
ejpam-5910	297	9	gupta	gupta	PROPN
ejpam-5910	297	10	/	/	SYM
ejpam-5910	297	11	eur	eur	PROPN
ejpam-5910	297	12	.	.	PUNCT
ejpam-5910	298	1	j.	j.	PROPN
ejpam-5910	298	2	pure	pure	PROPN
ejpam-5910	298	3	appl	appl	PROPN
ejpam-5910	298	4	.	.	PROPN
ejpam-5910	298	5	math	math	PROPN
ejpam-5910	298	6	,	,	PUNCT
ejpam-5910	298	7	18	18	NUM
ejpam-5910	298	8	(	(	PUNCT
ejpam-5910	298	9	3	3	NUM
ejpam-5910	298	10	)	)	PUNCT
ejpam-5910	298	11	(	(	PUNCT
ejpam-5910	298	12	2025	2025	NUM
ejpam-5910	298	13	)	)	PUNCT
ejpam-5910	298	14	,	,	PUNCT
ejpam-5910	298	15	5910	5910	NUM
ejpam-5910	298	16	14	14	NUM
ejpam-5910	298	17	of	of	ADP
ejpam-5910	298	18	28	28	NUM
ejpam-5910	298	19	proof	proof	NOUN
ejpam-5910	298	20	.	.	PUNCT
ejpam-5910	299	1	from	from	ADP
ejpam-5910	299	2	equations	equation	NOUN
ejpam-5910	299	3	(	(	PUNCT
ejpam-5910	299	4	32	32	NUM
ejpam-5910	299	5	)	)	PUNCT
ejpam-5910	299	6	and	and	CCONJ
ejpam-5910	299	7	(	(	PUNCT
ejpam-5910	299	8	33	33	NUM
ejpam-5910	299	9	)	)	PUNCT
ejpam-5910	299	10	,	,	PUNCT
ejpam-5910	299	11	we	we	PRON
ejpam-5910	299	12	have	have	VERB
ejpam-5910	299	13	∞∑	∞∑	NUM
ejpam-5910	299	14	n=0	n=0	NUM
ejpam-5910	299	15	qnz	qnz	NOUN
ejpam-5910	299	16	n	n	PROPN
ejpam-5910	299	17	=	=	PROPN
ejpam-5910	299	18	ṽ	ṽ	PROPN
ejpam-5910	299	19	(	(	PUNCT
ejpam-5910	299	20	ν(z	ν(z	PROPN
ejpam-5910	299	21	)	)	PUNCT
ejpam-5910	299	22	)	)	PUNCT
ejpam-5910	300	1	[	[	PUNCT
ejpam-5910	300	2	(	(	PUNCT
ejpam-5910	300	3	1−	1−	NUM
ejpam-5910	300	4	φ	φ	NUM
ejpam-5910	300	5	)	)	PUNCT
ejpam-5910	300	6	b∑	b∑	PROPN
ejpam-5910	301	1	m	m	PROPN
ejpam-5910	301	2	=	=	NOUN
ejpam-5910	301	3	a	a	DET
ejpam-5910	301	4	bm,0(0	bm,0(0	NOUN
ejpam-5910	301	5	)	)	PUNCT
ejpam-5910	301	6	+	+	CCONJ
ejpam-5910	301	7	a−1∑	a−1∑	PRON
ejpam-5910	301	8	m=1	m=1	PROPN
ejpam-5910	301	9	lm,0(0	lm,0(0	PROPN
ejpam-5910	301	10	)	)	PUNCT
ejpam-5910	301	11	+	+	PROPN
ejpam-5910	301	12	r0(0	r0(0	NOUN
ejpam-5910	301	13	)	)	PUNCT
ejpam-5910	301	14	+	+	CCONJ
ejpam-5910	301	15	∞∑	∞∑	NUM
ejpam-5910	301	16	f=2	f=2	PROPN
ejpam-5910	301	17	a−1∑	a−1∑	PRON
ejpam-5910	301	18	n=0	n=0	NUM
ejpam-5910	301	19	qf−1,n(0)z	qf−1,n(0)z	NOUN
ejpam-5910	301	20	n	n	X
ejpam-5910	301	21	]	]	PUNCT
ejpam-5910	301	22	=	=	PUNCT
ejpam-5910	302	1	∞∑	∞∑	NUM
ejpam-5910	302	2	n=0	n=0	NUM
ejpam-5910	302	3	βnz	βnz	NOUN
ejpam-5910	302	4	n	n	CCONJ
ejpam-5910	302	5	[	[	PUNCT
ejpam-5910	302	6	(	(	PUNCT
ejpam-5910	302	7	1−	1−	NUM
ejpam-5910	302	8	φ)p0	φ)p0	PROPN
ejpam-5910	302	9	+	+	PROPN
ejpam-5910	302	10	l0	l0	PROPN
ejpam-5910	302	11	+	+	NOUN
ejpam-5910	302	12	r0	r0	NOUN
ejpam-5910	302	13	+	+	CCONJ
ejpam-5910	302	14	a−1∑	a−1∑	PRON
ejpam-5910	302	15	n=0	n=0	NUM
ejpam-5910	302	16	qnz	qnz	NOUN
ejpam-5910	302	17	n	n	NOUN
ejpam-5910	302	18	]	]	PUNCT
ejpam-5910	302	19	=	=	PUNCT
ejpam-5910	303	1	∞∑	∞∑	NUM
ejpam-5910	303	2	n=0	n=0	NUM
ejpam-5910	303	3	βnz	βnz	NOUN
ejpam-5910	303	4	n	n	CCONJ
ejpam-5910	303	5	[	[	PUNCT
ejpam-5910	303	6	f0	f0	PROPN
ejpam-5910	303	7	+	+	CCONJ
ejpam-5910	303	8	a−1∑	a−1∑	PRON
ejpam-5910	303	9	n=0	n=0	NUM
ejpam-5910	303	10	qnz	qnz	NOUN
ejpam-5910	303	11	n	n	X
ejpam-5910	303	12	]	]	PUNCT
ejpam-5910	303	13	equating	equate	VERB
ejpam-5910	303	14	the	the	DET
ejpam-5910	303	15	coefficient	coefficient	NOUN
ejpam-5910	303	16	of	of	ADP
ejpam-5910	303	17	z0	z0	PROPN
ejpam-5910	303	18	,	,	PUNCT
ejpam-5910	303	19	we	we	PRON
ejpam-5910	303	20	get	get	VERB
ejpam-5910	303	21	q0	q0	NOUN
ejpam-5910	303	22	=	=	SYM
ejpam-5910	303	23	β0	β0	PROPN
ejpam-5910	303	24	1−	1−	NUM
ejpam-5910	303	25	β0	β0	PROPN
ejpam-5910	303	26	f0	f0	PROPN
ejpam-5910	303	27	,	,	PUNCT
ejpam-5910	303	28	equating	equate	VERB
ejpam-5910	303	29	the	the	DET
ejpam-5910	303	30	coefficient	coefficient	NOUN
ejpam-5910	303	31	of	of	ADP
ejpam-5910	303	32	z1	z1	PROPN
ejpam-5910	303	33	,	,	PUNCT
ejpam-5910	303	34	we	we	PRON
ejpam-5910	303	35	get	get	VERB
ejpam-5910	303	36	q1	q1	NOUN
ejpam-5910	303	37	=	=	PUNCT
ejpam-5910	303	38	(	(	PUNCT
ejpam-5910	303	39	β1f0	β1f0	PUNCT
ejpam-5910	304	1	+	+	NUM
ejpam-5910	304	2	q0β1	q0β1	ADP
ejpam-5910	304	3	)	)	PUNCT
ejpam-5910	304	4	1−	1−	NUM
ejpam-5910	304	5	β0	β0	NOUN
ejpam-5910	304	6	,	,	PUNCT
ejpam-5910	304	7	proceeding	proceed	VERB
ejpam-5910	304	8	like	like	ADP
ejpam-5910	304	9	this	this	PRON
ejpam-5910	304	10	,	,	PUNCT
ejpam-5910	304	11	we	we	PRON
ejpam-5910	304	12	get	get	VERB
ejpam-5910	304	13	qn	qn	NOUN
ejpam-5910	304	14	=	=	X
ejpam-5910	304	15	(	(	PUNCT
ejpam-5910	304	16	βnf0	βnf0	VERB
ejpam-5910	304	17	+	+	CCONJ
ejpam-5910	305	1	n−1∑	n−1∑	PROPN
ejpam-5910	305	2	κ=0	κ=0	PROPN
ejpam-5910	305	3	qκβn−κ	qκβn−κ	VERB
ejpam-5910	305	4	)	)	PUNCT
ejpam-5910	305	5	1−	1−	NUM
ejpam-5910	305	6	β0	β0	NOUN
ejpam-5910	305	7	,	,	PUNCT
ejpam-5910	305	8	n	n	NOUN
ejpam-5910	305	9	=	=	SYM
ejpam-5910	305	10	1	1	NUM
ejpam-5910	305	11	,	,	PUNCT
ejpam-5910	305	12	2	2	NUM
ejpam-5910	305	13	,	,	PUNCT
ejpam-5910	305	14	...	...	PUNCT
ejpam-5910	305	15	,	,	PUNCT
ejpam-5910	305	16	a−	a−	PROPN
ejpam-5910	305	17	1	1	NUM
ejpam-5910	305	18	hence	hence	ADV
ejpam-5910	305	19	the	the	DET
ejpam-5910	305	20	theorem	theorem	NOUN
ejpam-5910	305	21	.	.	PROPN
ejpam-5910	306	1	5.3	5.3	NUM
ejpam-5910	306	2	.	.	PUNCT
ejpam-5910	307	1	particular	particular	ADJ
ejpam-5910	307	2	cases	case	NOUN
ejpam-5910	307	3	case	case	NOUN
ejpam-5910	308	1	i	i	PRON
ejpam-5910	308	2	:	:	PUNCT
ejpam-5910	308	3	if	if	SCONJ
ejpam-5910	308	4	s̃	s̃	PROPN
ejpam-5910	308	5	=	=	SYM
ejpam-5910	308	6	c̃	c̃	PROPN
ejpam-5910	308	7	,	,	PUNCT
ejpam-5910	308	8	a	a	PRON
ejpam-5910	308	9	=	=	SYM
ejpam-5910	308	10	1	1	NUM
ejpam-5910	308	11	,	,	PUNCT
ejpam-5910	308	12	b	b	NOUN
ejpam-5910	308	13	=	=	SYM
ejpam-5910	308	14	1	1	NUM
ejpam-5910	308	15	,	,	PUNCT
ejpam-5910	308	16	and	and	CCONJ
ejpam-5910	308	17	there	there	PRON
ejpam-5910	308	18	is	be	VERB
ejpam-5910	308	19	no	no	DET
ejpam-5910	308	20	server	server	NOUN
ejpam-5910	308	21	breakdown	breakdown	NOUN
ejpam-5910	308	22	.	.	PUNCT
ejpam-5910	309	1	the	the	DET
ejpam-5910	309	2	equation	equation	NOUN
ejpam-5910	309	3	(	(	PUNCT
ejpam-5910	309	4	46	46	NUM
ejpam-5910	309	5	)	)	PUNCT
ejpam-5910	309	6	becomes	become	VERB
ejpam-5910	309	7	p	p	NOUN
ejpam-5910	309	8	(	(	PUNCT
ejpam-5910	309	9	z	z	NOUN
ejpam-5910	309	10	)	)	PUNCT
ejpam-5910	310	1	=	=	SYM
ejpam-5910	310	2	[	[	PUNCT
ejpam-5910	310	3	ṽ	ṽ	PROPN
ejpam-5910	310	4	(	(	PUNCT
ejpam-5910	310	5	ν(z))−	ν(z))−	ADJ
ejpam-5910	310	6	1	1	NUM
ejpam-5910	310	7	]	]	PUNCT
ejpam-5910	311	1	[	[	X
ejpam-5910	311	2	z	z	NOUN
ejpam-5910	311	3	−	−	NOUN
ejpam-5910	311	4	1	1	NUM
ejpam-5910	311	5	]	]	PUNCT
ejpam-5910	311	6	[	[	PUNCT
ejpam-5910	311	7	f0	f0	PROPN
ejpam-5910	311	8	+	+	CCONJ
ejpam-5910	311	9	a−1∑	a−1∑	PRON
ejpam-5910	311	10	n=0	n=0	NUM
ejpam-5910	311	11	qnz	qnz	NOUN
ejpam-5910	311	12	n	n	X
ejpam-5910	311	13	]	]	PUNCT
ejpam-5910	311	14	−(ν(z))[z	−(ν(z))[z	PUNCT
ejpam-5910	311	15	−	−	PROPN
ejpam-5910	311	16	s̃(ν(z	s̃(ν(z	NUM
ejpam-5910	311	17	)	)	PUNCT
ejpam-5910	311	18	)	)	PUNCT
ejpam-5910	311	19	]	]	PUNCT
ejpam-5910	311	20	.	.	PUNCT
ejpam-5910	312	1	(	(	PUNCT
ejpam-5910	312	2	48	48	NUM
ejpam-5910	312	3	)	)	PUNCT
ejpam-5910	312	4	which	which	PRON
ejpam-5910	312	5	coincide	coincide	VERB
ejpam-5910	312	6	with	with	ADP
ejpam-5910	312	7	the	the	DET
ejpam-5910	312	8	findings	finding	NOUN
ejpam-5910	312	9	of	of	ADP
ejpam-5910	312	10	lee	lee	PROPN
ejpam-5910	312	11	et	et	PROPN
ejpam-5910	312	12	al.[1994	al.[1994	PROPN
ejpam-5910	312	13	]	]	X
ejpam-5910	312	14	and	and	CCONJ
ejpam-5910	312	15	n	n	NOUN
ejpam-5910	312	16	=	=	NOUN
ejpam-5910	312	17	a.	a.	NOUN
ejpam-5910	312	18	case	case	NOUN
ejpam-5910	312	19	ii	ii	PROPN
ejpam-5910	312	20	:	:	PUNCT
ejpam-5910	312	21	when	when	SCONJ
ejpam-5910	312	22	there	there	PRON
ejpam-5910	312	23	is	be	VERB
ejpam-5910	312	24	no	no	DET
ejpam-5910	312	25	low	low	ADJ
ejpam-5910	312	26	-	-	PUNCT
ejpam-5910	312	27	batch	batch	NOUN
ejpam-5910	312	28	service	service	NOUN
ejpam-5910	312	29	and	and	CCONJ
ejpam-5910	312	30	no	no	DET
ejpam-5910	312	31	breakdown	breakdown	NOUN
ejpam-5910	312	32	,	,	PUNCT
ejpam-5910	312	33	the	the	DET
ejpam-5910	312	34	equation	equation	NOUN
ejpam-5910	312	35	(	(	PUNCT
ejpam-5910	312	36	46	46	NUM
ejpam-5910	312	37	)	)	PUNCT
ejpam-5910	312	38	becomes	become	VERB
ejpam-5910	312	39	p	p	NOUN
ejpam-5910	312	40	(	(	PUNCT
ejpam-5910	312	41	z	z	NOUN
ejpam-5910	312	42	)	)	PUNCT
ejpam-5910	313	1	=	=	NOUN
ejpam-5910	313	2	[	[	PUNCT
ejpam-5910	313	3	s̃(ν(z))−	s̃(ν(z))−	ADP
ejpam-5910	313	4	1	1	NUM
ejpam-5910	313	5	]	]	PUNCT
ejpam-5910	313	6	b−1∑	b−1∑	NOUN
ejpam-5910	313	7	ι=1	ι=1	PUNCT
ejpam-5910	313	8	[	[	PUNCT
ejpam-5910	313	9	zb	zb	AUX
ejpam-5910	313	10	−	−	PROPN
ejpam-5910	313	11	zι	zι	X
ejpam-5910	313	12	]	]	PUNCT
ejpam-5910	313	13	fι	fι	VERB
ejpam-5910	313	14	+	+	CCONJ
ejpam-5910	313	15	[	[	PUNCT
ejpam-5910	313	16	ṽ	ṽ	PROPN
ejpam-5910	313	17	(	(	PUNCT
ejpam-5910	313	18	ν(z))−	ν(z))−	ADJ
ejpam-5910	313	19	1	1	NUM
ejpam-5910	313	20	]	]	PUNCT
ejpam-5910	313	21	[	[	PUNCT
ejpam-5910	313	22	zb	zb	X
ejpam-5910	313	23	−	−	PROPN
ejpam-5910	313	24	1	1	NUM
ejpam-5910	313	25	]	]	PUNCT
ejpam-5910	313	26	[	[	PUNCT
ejpam-5910	313	27	f0	f0	X
ejpam-5910	313	28	+	+	CCONJ
ejpam-5910	313	29	a−1∑	a−1∑	PRON
ejpam-5910	313	30	n=0	n=0	NUM
ejpam-5910	313	31	qnz	qnz	NOUN
ejpam-5910	313	32	n	n	X
ejpam-5910	313	33	]	]	PUNCT
ejpam-5910	313	34	−(ν(z	−(ν(z	PROPN
ejpam-5910	313	35	)	)	PUNCT
ejpam-5910	313	36	)	)	PUNCT
ejpam-5910	314	1	[	[	PUNCT
ejpam-5910	314	2	zb	zb	X
ejpam-5910	314	3	−	−	PROPN
ejpam-5910	314	4	s̃(ν(z	s̃(ν(z	NUM
ejpam-5910	314	5	)	)	PUNCT
ejpam-5910	314	6	)	)	PUNCT
ejpam-5910	314	7	]	]	PUNCT
ejpam-5910	314	8	.	.	PUNCT
ejpam-5910	315	1	(	(	PUNCT
ejpam-5910	315	2	49	49	NUM
ejpam-5910	315	3	)	)	PUNCT
ejpam-5910	315	4	which	which	PRON
ejpam-5910	315	5	coincide	coincide	VERB
ejpam-5910	315	6	with	with	ADP
ejpam-5910	315	7	the	the	DET
ejpam-5910	315	8	findings	finding	NOUN
ejpam-5910	315	9	of	of	ADP
ejpam-5910	315	10	senthilnathan	senthilnathan	ADV
ejpam-5910	315	11	et	et	PROPN
ejpam-5910	315	12	al	al	PROPN
ejpam-5910	315	13	.	.	PROPN
ejpam-5910	315	14	’s	’s	PART
ejpam-5910	316	1	[	[	X
ejpam-5910	316	2	2012	2012	NUM
ejpam-5910	316	3	]	]	PUNCT
ejpam-5910	316	4	and	and	CCONJ
ejpam-5910	316	5	without	without	ADP
ejpam-5910	316	6	closedown	closedown	PROPN
ejpam-5910	316	7	.	.	PUNCT
ejpam-5910	317	1	karpagam	karpagam	PROPN
ejpam-5910	317	2	s	s	PROPN
ejpam-5910	317	3	,	,	PUNCT
ejpam-5910	317	4	aarthy	aarthy	ADJ
ejpam-5910	317	5	n	n	CCONJ
ejpam-5910	317	6	,	,	PUNCT
ejpam-5910	317	7	g.	g.	PROPN
ejpam-5910	317	8	k.	k.	PROPN
ejpam-5910	317	9	gupta	gupta	PROPN
ejpam-5910	317	10	/	/	SYM
ejpam-5910	317	11	eur	eur	PROPN
ejpam-5910	317	12	.	.	PUNCT
ejpam-5910	318	1	j.	j.	PROPN
ejpam-5910	318	2	pure	pure	PROPN
ejpam-5910	318	3	appl	appl	PROPN
ejpam-5910	318	4	.	.	PROPN
ejpam-5910	318	5	math	math	PROPN
ejpam-5910	318	6	,	,	PUNCT
ejpam-5910	318	7	18	18	NUM
ejpam-5910	318	8	(	(	PUNCT
ejpam-5910	318	9	3	3	NUM
ejpam-5910	318	10	)	)	PUNCT
ejpam-5910	318	11	(	(	PUNCT
ejpam-5910	318	12	2025	2025	NUM
ejpam-5910	318	13	)	)	PUNCT
ejpam-5910	318	14	,	,	PUNCT
ejpam-5910	318	15	5910	5910	NUM
ejpam-5910	318	16	15	15	NUM
ejpam-5910	318	17	of	of	ADP
ejpam-5910	318	18	28	28	NUM
ejpam-5910	318	19	5.4	5.4	NUM
ejpam-5910	318	20	.	.	PUNCT
ejpam-5910	319	1	pgf	pgf	NOUN
ejpam-5910	319	2	of	of	ADP
ejpam-5910	319	3	queue	queue	NOUN
ejpam-5910	319	4	size	size	NOUN
ejpam-5910	319	5	at	at	ADP
ejpam-5910	319	6	various	various	ADJ
ejpam-5910	319	7	epochs	epoch	NOUN
ejpam-5910	319	8	•	•	PRON
ejpam-5910	319	9	queue	queue	NOUN
ejpam-5910	319	10	size	size	NOUN
ejpam-5910	319	11	pgf	pgf	NOUN
ejpam-5910	319	12	in	in	ADP
ejpam-5910	319	13	the	the	DET
ejpam-5910	319	14	epoch	epoch	NOUN
ejpam-5910	319	15	for	for	ADP
ejpam-5910	319	16	bulk	bulk	ADJ
ejpam-5910	319	17	service	service	NOUN
ejpam-5910	319	18	completion	completion	NOUN
ejpam-5910	319	19	using	use	VERB
ejpam-5910	319	20	(	(	PUNCT
ejpam-5910	319	21	43	43	NUM
ejpam-5910	319	22	)	)	PUNCT
ejpam-5910	319	23	and	and	CCONJ
ejpam-5910	319	24	(	(	PUNCT
ejpam-5910	319	25	44	44	NUM
ejpam-5910	319	26	)	)	PUNCT
ejpam-5910	319	27	equations	equation	NOUN
ejpam-5910	319	28	,	,	PUNCT
ejpam-5910	319	29	we	we	PRON
ejpam-5910	319	30	obtain	obtain	VERB
ejpam-5910	319	31	b(z	b(z	NOUN
ejpam-5910	319	32	)	)	PUNCT
ejpam-5910	319	33	=	=	NOUN
ejpam-5910	320	1	[	[	PUNCT
ejpam-5910	320	2	s̃(ν(z))−	s̃(ν(z))−	ADP
ejpam-5910	320	3	1	1	NUM
ejpam-5910	320	4	]	]	PUNCT
ejpam-5910	320	5	[	[	X
ejpam-5910	320	6	b−1∑	b−1∑	NOUN
ejpam-5910	320	7	ι	ι	PRON
ejpam-5910	320	8	=	=	NOUN
ejpam-5910	320	9	a	a	DET
ejpam-5910	320	10	[	[	X
ejpam-5910	320	11	zb	zb	X
ejpam-5910	320	12	−	−	PROPN
ejpam-5910	320	13	zι]cι	zι]cι	NOUN
ejpam-5910	320	14	+	+	CCONJ
ejpam-5910	320	15	c̃(ν(z	c̃(ν(z	NOUN
ejpam-5910	320	16	)	)	PUNCT
ejpam-5910	320	17	)	)	PUNCT
ejpam-5910	321	1	a−1∑	a−1∑	X
ejpam-5910	321	2	ι=1	ι=1	ADP
ejpam-5910	321	3	fι−	fι−	PROPN
ejpam-5910	321	4	a−1∑	a−1∑	X
ejpam-5910	321	5	ι=1	ι=1	SYM
ejpam-5910	321	6	fιz	fιz	PROPN
ejpam-5910	321	7	ι	ι	X
ejpam-5910	322	1	+	+	X
ejpam-5910	322	2	[	[	PUNCT
ejpam-5910	322	3	ṽ	ṽ	PROPN
ejpam-5910	322	4	(	(	PUNCT
ejpam-5910	322	5	ν(z))−	ν(z))−	ADJ
ejpam-5910	322	6	1	1	NUM
ejpam-5910	322	7	]	]	PUNCT
ejpam-5910	323	1	[	[	X
ejpam-5910	323	2	f0	f0	X
ejpam-5910	323	3	+	+	CCONJ
ejpam-5910	323	4	a−1∑	a−1∑	PRON
ejpam-5910	323	5	n=0	n=0	NUM
ejpam-5910	323	6	qnz	qnz	NOUN
ejpam-5910	323	7	n	n	X
ejpam-5910	323	8	]	]	PUNCT
ejpam-5910	323	9	]	]	PUNCT
ejpam-5910	323	10	−(ν(z))(zb	−(ν(z))(zb	PROPN
ejpam-5910	324	1	−	−	ADP
ejpam-5910	324	2	ϵ(z	ϵ(z	NOUN
ejpam-5910	324	3	)	)	PUNCT
ejpam-5910	324	4	)	)	PUNCT
ejpam-5910	325	1	(	(	PUNCT
ejpam-5910	325	2	50	50	NUM
ejpam-5910	325	3	)	)	PUNCT
ejpam-5910	325	4	•	•	NUM
ejpam-5910	325	5	queue	queue	NOUN
ejpam-5910	325	6	size	size	NOUN
ejpam-5910	325	7	pgf	pgf	NOUN
ejpam-5910	325	8	during	during	ADP
ejpam-5910	325	9	the	the	DET
ejpam-5910	325	10	low	low	ADJ
ejpam-5910	325	11	-	-	PUNCT
ejpam-5910	325	12	batch	batch	NOUN
ejpam-5910	325	13	service	service	NOUN
ejpam-5910	325	14	completion	completion	NOUN
ejpam-5910	325	15	epoch	epoch	NOUN
ejpam-5910	325	16	using	use	VERB
ejpam-5910	325	17	eq	eq	X
ejpam-5910	325	18	.	.	PUNCT
ejpam-5910	326	1	(	(	PUNCT
ejpam-5910	326	2	42	42	NUM
ejpam-5910	326	3	)	)	PUNCT
ejpam-5910	326	4	,	,	PUNCT
ejpam-5910	326	5	we	we	PRON
ejpam-5910	326	6	obtain	obtain	VERB
ejpam-5910	326	7	l(z	l(z	NOUN
ejpam-5910	326	8	)	)	PUNCT
ejpam-5910	327	1	=	=	PUNCT
ejpam-5910	327	2	[	[	PUNCT
ejpam-5910	327	3	c̃(ν(z))−	c̃(ν(z))−	NOUN
ejpam-5910	327	4	1	1	NUM
ejpam-5910	327	5	]	]	PUNCT
ejpam-5910	327	6	a−1∑	a−1∑	X
ejpam-5910	327	7	ι=1	ι=1	PUNCT
ejpam-5910	327	8	fι	fι	VERB
ejpam-5910	327	9	−(ν(z	−(ν(z	NOUN
ejpam-5910	327	10	)	)	PUNCT
ejpam-5910	327	11	)	)	PUNCT
ejpam-5910	327	12	.	.	PUNCT
ejpam-5910	328	1	(	(	PUNCT
ejpam-5910	328	2	51	51	NUM
ejpam-5910	328	3	)	)	PUNCT
ejpam-5910	328	4	•	•	NUM
ejpam-5910	328	5	queue	queue	NOUN
ejpam-5910	328	6	size	size	NOUN
ejpam-5910	328	7	pgf	pgf	NOUN
ejpam-5910	328	8	during	during	ADP
ejpam-5910	328	9	the	the	DET
ejpam-5910	328	10	vacation	vacation	NOUN
ejpam-5910	328	11	completion	completion	NOUN
ejpam-5910	328	12	epoch	epoch	NOUN
ejpam-5910	328	13	using	use	VERB
ejpam-5910	328	14	(	(	PUNCT
ejpam-5910	328	15	39	39	NUM
ejpam-5910	328	16	)	)	PUNCT
ejpam-5910	328	17	and	and	CCONJ
ejpam-5910	328	18	(	(	PUNCT
ejpam-5910	328	19	40	40	NUM
ejpam-5910	328	20	)	)	PUNCT
ejpam-5910	328	21	equations	equation	NOUN
ejpam-5910	328	22	,	,	PUNCT
ejpam-5910	328	23	we	we	PRON
ejpam-5910	328	24	obtain	obtain	VERB
ejpam-5910	328	25	v	v	ADP
ejpam-5910	328	26	(	(	PUNCT
ejpam-5910	328	27	z	z	NOUN
ejpam-5910	328	28	)	)	PUNCT
ejpam-5910	328	29	=	=	SYM
ejpam-5910	328	30	[	[	PUNCT
ejpam-5910	328	31	ṽ	ṽ	PROPN
ejpam-5910	328	32	(	(	PUNCT
ejpam-5910	328	33	ν(z))−	ν(z))−	ADJ
ejpam-5910	328	34	1	1	NUM
ejpam-5910	328	35	]	]	PUNCT
ejpam-5910	328	36	[	[	PUNCT
ejpam-5910	328	37	f0	f0	X
ejpam-5910	328	38	+	+	CCONJ
ejpam-5910	328	39	a−1∑	a−1∑	PRON
ejpam-5910	328	40	n=0	n=0	NUM
ejpam-5910	328	41	qnz	qnz	NOUN
ejpam-5910	328	42	n	n	X
ejpam-5910	328	43	]	]	PUNCT
ejpam-5910	328	44	−(ν(z	−(ν(z	PROPN
ejpam-5910	328	45	)	)	PUNCT
ejpam-5910	328	46	)	)	PUNCT
ejpam-5910	328	47	.	.	PUNCT
ejpam-5910	329	1	(	(	PUNCT
ejpam-5910	329	2	52	52	NUM
ejpam-5910	329	3	)	)	PUNCT
ejpam-5910	329	4	•	•	NUM
ejpam-5910	329	5	queue	queue	NOUN
ejpam-5910	329	6	size	size	NOUN
ejpam-5910	329	7	pgf	pgf	NOUN
ejpam-5910	329	8	during	during	ADP
ejpam-5910	329	9	the	the	DET
ejpam-5910	329	10	renovation	renovation	NOUN
ejpam-5910	329	11	completion	completion	NOUN
ejpam-5910	329	12	epoch	epoch	NOUN
ejpam-5910	329	13	using	use	VERB
ejpam-5910	329	14	(	(	PUNCT
ejpam-5910	329	15	36	36	NUM
ejpam-5910	329	16	)	)	PUNCT
ejpam-5910	329	17	,	,	PUNCT
ejpam-5910	329	18	(	(	PUNCT
ejpam-5910	329	19	37	37	NUM
ejpam-5910	329	20	)	)	PUNCT
ejpam-5910	329	21	and	and	CCONJ
ejpam-5910	329	22	(	(	PUNCT
ejpam-5910	329	23	41	41	NUM
ejpam-5910	329	24	)	)	PUNCT
ejpam-5910	329	25	equations	equation	NOUN
ejpam-5910	329	26	,	,	PUNCT
ejpam-5910	329	27	we	we	PRON
ejpam-5910	329	28	obtain	obtain	VERB
ejpam-5910	329	29	r(z	r(z	NOUN
ejpam-5910	329	30	)	)	PUNCT
ejpam-5910	330	1	=	=	PUNCT
ejpam-5910	330	2	[	[	PUNCT
ejpam-5910	330	3	φs̃(ν(z))r̃(ν(z))−	φs̃(ν(z))r̃(ν(z))−	ADJ
ejpam-5910	330	4	φs̃((ν(z	φs̃((ν(z	NOUN
ejpam-5910	330	5	)	)	PUNCT
ejpam-5910	330	6	)	)	PUNCT
ejpam-5910	331	1	]	]	PUNCT
ejpam-5910	331	2	[	[	X
ejpam-5910	331	3	b−1∑	b−1∑	NOUN
ejpam-5910	331	4	ι	ι	PRON
ejpam-5910	331	5	=	=	NOUN
ejpam-5910	331	6	a	a	DET
ejpam-5910	331	7	[	[	X
ejpam-5910	331	8	zb	zb	X
ejpam-5910	331	9	−	−	PROPN
ejpam-5910	331	10	zι]cι	zι]cι	NOUN
ejpam-5910	331	11	+	+	CCONJ
ejpam-5910	331	12	c̃(ν(z	c̃(ν(z	NOUN
ejpam-5910	331	13	)	)	PUNCT
ejpam-5910	331	14	)	)	PUNCT
ejpam-5910	331	15	a−1∑	a−1∑	X
ejpam-5910	331	16	ι=1	ι=1	ADP
ejpam-5910	331	17	fι	fι	VERB
ejpam-5910	331	18	−	−	PROPN
ejpam-5910	331	19	a−1∑	a−1∑	NUM
ejpam-5910	331	20	ι=1	ι=1	SYM
ejpam-5910	331	21	fιz	fιz	PROPN
ejpam-5910	331	22	ι	ι	X
ejpam-5910	331	23	+	+	X
ejpam-5910	331	24	[	[	PUNCT
ejpam-5910	331	25	ṽ	ṽ	PROPN
ejpam-5910	331	26	(	(	PUNCT
ejpam-5910	331	27	ν(z))−	ν(z))−	ADJ
ejpam-5910	331	28	1	1	NUM
ejpam-5910	331	29	]	]	PUNCT
ejpam-5910	332	1	[	[	X
ejpam-5910	332	2	f0	f0	X
ejpam-5910	332	3	+	+	CCONJ
ejpam-5910	332	4	a−1∑	a−1∑	PRON
ejpam-5910	332	5	n=0	n=0	NUM
ejpam-5910	332	6	qnz	qnz	NOUN
ejpam-5910	332	7	n	n	X
ejpam-5910	332	8	]	]	PUNCT
ejpam-5910	332	9	]	]	PUNCT
ejpam-5910	332	10	−(ν(z))(zb	−(ν(z))(zb	PROPN
ejpam-5910	333	1	−	−	ADP
ejpam-5910	333	2	ϵ(z	ϵ(z	NOUN
ejpam-5910	333	3	)	)	PUNCT
ejpam-5910	333	4	)	)	PUNCT
ejpam-5910	334	1	(	(	PUNCT
ejpam-5910	334	2	53	53	NUM
ejpam-5910	334	3	)	)	PUNCT
ejpam-5910	334	4	karpagam	karpagam	PROPN
ejpam-5910	334	5	s	s	PROPN
ejpam-5910	334	6	,	,	PUNCT
ejpam-5910	334	7	aarthy	aarthy	ADJ
ejpam-5910	334	8	n	n	CCONJ
ejpam-5910	334	9	,	,	PUNCT
ejpam-5910	335	1	g.	g.	PROPN
ejpam-5910	335	2	k.	k.	PROPN
ejpam-5910	335	3	gupta	gupta	PROPN
ejpam-5910	335	4	/	/	SYM
ejpam-5910	335	5	eur	eur	PROPN
ejpam-5910	335	6	.	.	PUNCT
ejpam-5910	336	1	j.	j.	PROPN
ejpam-5910	336	2	pure	pure	PROPN
ejpam-5910	336	3	appl	appl	PROPN
ejpam-5910	336	4	.	.	PROPN
ejpam-5910	336	5	math	math	PROPN
ejpam-5910	336	6	,	,	PUNCT
ejpam-5910	336	7	18	18	NUM
ejpam-5910	336	8	(	(	PUNCT
ejpam-5910	336	9	3	3	NUM
ejpam-5910	336	10	)	)	PUNCT
ejpam-5910	336	11	(	(	PUNCT
ejpam-5910	336	12	2025	2025	NUM
ejpam-5910	336	13	)	)	PUNCT
ejpam-5910	336	14	,	,	PUNCT
ejpam-5910	336	15	5910	5910	NUM
ejpam-5910	336	16	16	16	NUM
ejpam-5910	336	17	of	of	ADP
ejpam-5910	336	18	28	28	NUM
ejpam-5910	336	19	6	6	NUM
ejpam-5910	336	20	.	.	PUNCT
ejpam-5910	337	1	performance	performance	NOUN
ejpam-5910	337	2	indices	indice	VERB
ejpam-5910	337	3	6.1	6.1	NUM
ejpam-5910	337	4	.	.	PUNCT
ejpam-5910	338	1	expected	expect	VERB
ejpam-5910	338	2	queue	queue	NOUN
ejpam-5910	338	3	length	length	NOUN
ejpam-5910	338	4	differentiating	differentiate	VERB
ejpam-5910	338	5	p	p	NOUN
ejpam-5910	338	6	(	(	PUNCT
ejpam-5910	338	7	z	z	NOUN
ejpam-5910	338	8	)	)	PUNCT
ejpam-5910	338	9	concerning	concern	VERB
ejpam-5910	338	10	z	z	NOUN
ejpam-5910	338	11	and	and	CCONJ
ejpam-5910	338	12	assessing	assess	VERB
ejpam-5910	338	13	the	the	DET
ejpam-5910	338	14	result	result	NOUN
ejpam-5910	338	15	at	at	ADP
ejpam-5910	338	16	z	z	NOUN
ejpam-5910	338	17	=	=	SYM
ejpam-5910	338	18	1	1	NUM
ejpam-5910	338	19	the	the	DET
ejpam-5910	338	20	expected	expect	VERB
ejpam-5910	338	21	queue	queue	NOUN
ejpam-5910	338	22	size	size	NOUN
ejpam-5910	338	23	e(q	e(q	PROPN
ejpam-5910	338	24	)	)	PUNCT
ejpam-5910	338	25	at	at	ADP
ejpam-5910	338	26	any	any	DET
ejpam-5910	338	27	given	give	VERB
ejpam-5910	338	28	time	time	NOUN
ejpam-5910	338	29	.	.	PUNCT
ejpam-5910	339	1	this	this	PRON
ejpam-5910	339	2	is	be	AUX
ejpam-5910	339	3	stated	state	VERB
ejpam-5910	339	4	as	as	SCONJ
ejpam-5910	339	5	follows	follow	VERB
ejpam-5910	339	6	:	:	PUNCT
ejpam-5910	339	7	e(q	e(q	NOUN
ejpam-5910	339	8	)	)	PUNCT
ejpam-5910	339	9	=	=	PRON
ejpam-5910	339	10			NUM
ejpam-5910	339	11	b−1∑	b−1∑	VERB
ejpam-5910	339	12	ι	ι	X
ejpam-5910	339	13	=	=	NOUN
ejpam-5910	339	14	a	a	DET
ejpam-5910	339	15	cι[b(b−	cι[b(b−	NOUN
ejpam-5910	339	16	1)−	1)−	NUM
ejpam-5910	339	17	ι(ι−	ι(ι−	NOUN
ejpam-5910	339	18	1)]f1	1)]f1	NUM
ejpam-5910	339	19	+	+	CCONJ
ejpam-5910	339	20	b−1∑	b−1∑	NUM
ejpam-5910	339	21	ι	ι	PRON
ejpam-5910	339	22	=	=	NOUN
ejpam-5910	339	23	a	a	DET
ejpam-5910	339	24	cι(b−	cι(b−	NOUN
ejpam-5910	340	1	ι)f2	ι)f2	NOUN
ejpam-5910	340	2	+	+	CCONJ
ejpam-5910	340	3	a−1∑	a−1∑	NOUN
ejpam-5910	340	4	ι=1	ι=1	ADP
ejpam-5910	340	5	fιf3	fιf3	NOUN
ejpam-5910	340	6	+	+	CCONJ
ejpam-5910	341	1	[	[	X
ejpam-5910	341	2	f0	f0	X
ejpam-5910	341	3	+	+	CCONJ
ejpam-5910	341	4	a−1∑	a−1∑	PRON
ejpam-5910	341	5	ι=0	ι=0	NOUN
ejpam-5910	341	6	qι]f4	qι]f4	NOUN
ejpam-5910	341	7	+	+	CCONJ
ejpam-5910	341	8	a−1∑	a−1∑	NOUN
ejpam-5910	341	9	ι=0	ι=0	X
ejpam-5910	341	10	ιqιf5	ιqιf5	PUNCT
ejpam-5910	341	11	−	−	PROPN
ejpam-5910	341	12	a−1∑	a−1∑	PRON
ejpam-5910	341	13	ι=1	ι=1	ADP
ejpam-5910	341	14	fιf6	fιf6	NOUN
ejpam-5910	341	15			NOUN
ejpam-5910	341	16	2	2	NUM
ejpam-5910	341	17	[	[	PUNCT
ejpam-5910	341	18	(	(	PUNCT
ejpam-5910	341	19	λe(x))(b−	λe(x))(b−	X
ejpam-5910	341	20	s1	s1	PROPN
ejpam-5910	341	21	−	−	PROPN
ejpam-5910	341	22	φr1	φr1	NOUN
ejpam-5910	341	23	)	)	PUNCT
ejpam-5910	341	24	]	]	PUNCT
ejpam-5910	341	25	2	2	NUM
ejpam-5910	341	26	(	(	PUNCT
ejpam-5910	341	27	54	54	NUM
ejpam-5910	341	28	)	)	PUNCT
ejpam-5910	341	29	where	where	SCONJ
ejpam-5910	341	30	s1	s1	NOUN
ejpam-5910	341	31	=	=	SYM
ejpam-5910	341	32	e(x)e(s)λ	e(x)e(s)λ	PROPN
ejpam-5910	341	33	;	;	PUNCT
ejpam-5910	341	34	s2	s2	PROPN
ejpam-5910	341	35	=	=	SYM
ejpam-5910	341	36	e(x2)e(s)λ+	e(x2)e(s)λ+	PROPN
ejpam-5910	341	37	e2(x)e(s2)λ2	e2(x)e(s2)λ2	PROPN
ejpam-5910	341	38	;	;	PUNCT
ejpam-5910	341	39	c1	c1	PROPN
ejpam-5910	341	40	=	=	PUNCT
ejpam-5910	341	41	e(x)e(c)λ;c2	e(x)e(c)λ;c2	PROPN
ejpam-5910	341	42	=	=	SYM
ejpam-5910	341	43	e(x2)e(c)λ+	e(x2)e(c)λ+	NOUN
ejpam-5910	341	44	e2(x)e(c2)λ2	e2(x)e(c2)λ2	NOUN
ejpam-5910	341	45	;	;	PUNCT
ejpam-5910	341	46	v1	v1	NOUN
ejpam-5910	341	47	=	=	SYM
ejpam-5910	341	48	e(v	e(v	NOUN
ejpam-5910	341	49	)	)	PUNCT
ejpam-5910	341	50	λe(x);v2	λe(x);v2	PROPN
ejpam-5910	341	51	=	=	SYM
ejpam-5910	341	52	e(v	e(v	NOUN
ejpam-5910	341	53	)	)	PUNCT
ejpam-5910	341	54	λe(x2	λe(x2	NOUN
ejpam-5910	341	55	)	)	PUNCT
ejpam-5910	342	1	+	+	CCONJ
ejpam-5910	342	2	e(v	e(v	NOUN
ejpam-5910	342	3	2)λ2e2(x	2)λ2e2(x	NUM
ejpam-5910	342	4	)	)	PUNCT
ejpam-5910	342	5	;	;	PUNCT
ejpam-5910	342	6	r1	r1	NOUN
ejpam-5910	342	7	=	=	SYM
ejpam-5910	342	8	λe(x)e(r	λe(x)e(r	PROPN
ejpam-5910	342	9	)	)	PUNCT
ejpam-5910	342	10	;	;	PUNCT
ejpam-5910	342	11	r2	r2	NOUN
ejpam-5910	342	12	=	=	SYM
ejpam-5910	342	13	λe(x2)e(r	λe(x2)e(r	X
ejpam-5910	342	14	)	)	PUNCT
ejpam-5910	342	15	+	+	CCONJ
ejpam-5910	342	16	λ2e2(x)e(r2	λ2e2(x)e(r2	NOUN
ejpam-5910	342	17	)	)	PUNCT
ejpam-5910	342	18	;	;	PUNCT
ejpam-5910	342	19	t1	t1	NOUN
ejpam-5910	342	20	=	=	SYM
ejpam-5910	342	21	(	(	PUNCT
ejpam-5910	342	22	b−	b−	PROPN
ejpam-5910	342	23	s1	s1	PROPN
ejpam-5910	342	24	−	−	PROPN
ejpam-5910	342	25	φr1)λe(x	φr1)λe(x	PROPN
ejpam-5910	342	26	)	)	PUNCT
ejpam-5910	342	27	;	;	PUNCT
ejpam-5910	342	28	t2	t2	NOUN
ejpam-5910	342	29	=	=	SYM
ejpam-5910	342	30	(	(	PUNCT
ejpam-5910	342	31	b−	b−	PROPN
ejpam-5910	342	32	s1	s1	PROPN
ejpam-5910	342	33	−	−	PROPN
ejpam-5910	342	34	φr1)λe(x2	φr1)λe(x2	PROPN
ejpam-5910	342	35	)	)	PUNCT
ejpam-5910	342	36	+	+	CCONJ
ejpam-5910	342	37	λe(x)(b(b−	λe(x)(b(b−	PROPN
ejpam-5910	342	38	1)−	1)−	PROPN
ejpam-5910	342	39	s2	s2	PROPN
ejpam-5910	342	40	−	−	PROPN
ejpam-5910	342	41	φr2−	φr2−	NOUN
ejpam-5910	342	42	2φs1r1	2φs1r1	NUM
ejpam-5910	342	43	)	)	PUNCT
ejpam-5910	342	44	;	;	PUNCT
ejpam-5910	343	1	t3	t3	PROPN
ejpam-5910	343	2	=	=	PROPN
ejpam-5910	343	3	s1	s1	PROPN
ejpam-5910	343	4	+	+	CCONJ
ejpam-5910	343	5	φr1	φr1	NOUN
ejpam-5910	343	6	;	;	PUNCT
ejpam-5910	343	7	t4	t4	PROPN
ejpam-5910	343	8	=	=	PROPN
ejpam-5910	343	9	s2	s2	PROPN
ejpam-5910	343	10	+	+	CCONJ
ejpam-5910	343	11	φr2	φr2	NOUN
ejpam-5910	343	12	+	+	CCONJ
ejpam-5910	343	13	2φs1r1	2φs1r1	ADJ
ejpam-5910	343	14	;	;	PUNCT
ejpam-5910	343	15	f1	f1	PROPN
ejpam-5910	343	16	=	=	SYM
ejpam-5910	343	17	t3t1	t3t1	PROPN
ejpam-5910	343	18	;	;	PUNCT
ejpam-5910	343	19	f2	f2	PROPN
ejpam-5910	343	20	=	=	SYM
ejpam-5910	343	21	t4t1−	t4t1−	X
ejpam-5910	343	22	t3t2	t3t2	NOUN
ejpam-5910	343	23	;	;	PUNCT
ejpam-5910	343	24	f3	f3	PROPN
ejpam-5910	343	25	=	=	PUNCT
ejpam-5910	343	26	bc2t1	bc2t1	PROPN
ejpam-5910	343	27	+	+	NUM
ejpam-5910	343	28	b(b−	b(b−	X
ejpam-5910	343	29	1)c1t1−	1)c1t1−	NUM
ejpam-5910	343	30	bc1t2	bc1t2	NOUN
ejpam-5910	343	31	;	;	PUNCT
ejpam-5910	343	32	f4	f4	PROPN
ejpam-5910	343	33	=	=	PUNCT
ejpam-5910	343	34	bv2t1	bv2t1	PUNCT
ejpam-5910	343	35	+	+	NUM
ejpam-5910	343	36	b(b−	b(b−	PROPN
ejpam-5910	343	37	1)v1t1−	1)v1t1−	NUM
ejpam-5910	343	38	bv1t2	bv1t2	PROPN
ejpam-5910	343	39	;	;	PUNCT
ejpam-5910	343	40	f5	f5	PROPN
ejpam-5910	343	41	=	=	SYM
ejpam-5910	343	42	2bv1t1	2bv1t1	NOUN
ejpam-5910	343	43	;	;	PUNCT
ejpam-5910	343	44	f6	f6	X
ejpam-5910	343	45	=	=	PUNCT
ejpam-5910	344	1	ι	ι	PROPN
ejpam-5910	344	2	t4t1	t4t1	NOUN
ejpam-5910	345	1	+	+	CCONJ
ejpam-5910	345	2	ι(ι−	ι(ι−	X
ejpam-5910	345	3	1)t3t1−	1)t3t1−	NUM
ejpam-5910	345	4	ι	ι	X
ejpam-5910	345	5	t3t2	t3t2	NOUN
ejpam-5910	345	6	;	;	PUNCT
ejpam-5910	345	7	6.2	6.2	NUM
ejpam-5910	345	8	.	.	PUNCT
ejpam-5910	346	1	expected	expect	VERB
ejpam-5910	346	2	length	length	NOUN
ejpam-5910	346	3	of	of	ADP
ejpam-5910	346	4	idle	idle	ADJ
ejpam-5910	346	5	period	period	NOUN
ejpam-5910	346	6	considering	consider	VERB
ejpam-5910	346	7	i	i	PRON
ejpam-5910	346	8	to	to	PART
ejpam-5910	346	9	represent	represent	VERB
ejpam-5910	346	10	the	the	DET
ejpam-5910	346	11	random	random	ADJ
ejpam-5910	346	12	variable	variable	NOUN
ejpam-5910	346	13	for	for	ADP
ejpam-5910	346	14	the	the	DET
ejpam-5910	346	15	idle	idle	ADJ
ejpam-5910	346	16	period	period	NOUN
ejpam-5910	346	17	,	,	PUNCT
ejpam-5910	346	18	we	we	PRON
ejpam-5910	346	19	can	can	AUX
ejpam-5910	346	20	find	find	VERB
ejpam-5910	346	21	the	the	DET
ejpam-5910	346	22	average	average	ADJ
ejpam-5910	346	23	idle	idle	ADJ
ejpam-5910	346	24	period	period	NOUN
ejpam-5910	346	25	using	use	VERB
ejpam-5910	346	26	e(i	e(i	NOUN
ejpam-5910	346	27	)	)	PUNCT
ejpam-5910	346	28	.	.	PUNCT
ejpam-5910	347	1	construct	construct	VERB
ejpam-5910	347	2	a	a	DET
ejpam-5910	347	3	random	random	ADJ
ejpam-5910	347	4	variable	variable	ADJ
ejpam-5910	347	5	u1	u1	NOUN
ejpam-5910	347	6	as	as	ADP
ejpam-5910	347	7	u1	u1	NOUN
ejpam-5910	347	8	=	=	SYM
ejpam-5910	347	9	{	{	PUNCT
ejpam-5910	347	10	0	0	NUM
ejpam-5910	347	11	,	,	PUNCT
ejpam-5910	347	12	if	if	SCONJ
ejpam-5910	347	13	the	the	DET
ejpam-5910	347	14	server	server	NOUN
ejpam-5910	347	15	has	have	VERB
ejpam-5910	347	16	at	at	ADV
ejpam-5910	347	17	least	least	ADJ
ejpam-5910	347	18	‘	'	PUNCT
ejpam-5910	347	19	a	a	DET
ejpam-5910	347	20	’	'	PUNCT
ejpam-5910	347	21	customers	customer	NOUN
ejpam-5910	347	22	after	after	ADP
ejpam-5910	347	23	the	the	DET
ejpam-5910	347	24	first	first	ADJ
ejpam-5910	347	25	vacation	vacation	NOUN
ejpam-5910	347	26	.	.	PUNCT
ejpam-5910	348	1	1	1	NUM
ejpam-5910	348	2	,	,	PUNCT
ejpam-5910	348	3	if	if	SCONJ
ejpam-5910	348	4	the	the	DET
ejpam-5910	348	5	server	server	NOUN
ejpam-5910	348	6	finds	find	VERB
ejpam-5910	348	7	fewer	few	ADJ
ejpam-5910	348	8	than	than	ADP
ejpam-5910	348	9	‘	'	PUNCT
ejpam-5910	348	10	a	a	DET
ejpam-5910	348	11	’	'	PUNCT
ejpam-5910	348	12	customers	customer	NOUN
ejpam-5910	348	13	after	after	ADP
ejpam-5910	348	14	the	the	DET
ejpam-5910	348	15	first	first	ADJ
ejpam-5910	348	16	vacation	vacation	NOUN
ejpam-5910	348	17	.	.	PUNCT
ejpam-5910	349	1	karpagam	karpagam	PROPN
ejpam-5910	349	2	s	s	PROPN
ejpam-5910	349	3	,	,	PUNCT
ejpam-5910	349	4	aarthy	aarthy	ADJ
ejpam-5910	349	5	n	n	CCONJ
ejpam-5910	349	6	,	,	PUNCT
ejpam-5910	349	7	g.	g.	PROPN
ejpam-5910	349	8	k.	k.	PROPN
ejpam-5910	349	9	gupta	gupta	PROPN
ejpam-5910	349	10	/	/	SYM
ejpam-5910	349	11	eur	eur	PROPN
ejpam-5910	349	12	.	.	PUNCT
ejpam-5910	350	1	j.	j.	PROPN
ejpam-5910	350	2	pure	pure	PROPN
ejpam-5910	350	3	appl	appl	PROPN
ejpam-5910	350	4	.	.	PROPN
ejpam-5910	350	5	math	math	PROPN
ejpam-5910	350	6	,	,	PUNCT
ejpam-5910	350	7	18	18	NUM
ejpam-5910	350	8	(	(	PUNCT
ejpam-5910	350	9	3	3	NUM
ejpam-5910	350	10	)	)	PUNCT
ejpam-5910	350	11	(	(	PUNCT
ejpam-5910	350	12	2025	2025	NUM
ejpam-5910	350	13	)	)	PUNCT
ejpam-5910	350	14	,	,	PUNCT
ejpam-5910	350	15	5910	5910	NUM
ejpam-5910	350	16	17	17	NUM
ejpam-5910	350	17	of	of	ADP
ejpam-5910	350	18	28	28	NUM
ejpam-5910	350	19	due	due	ADP
ejpam-5910	350	20	to	to	ADP
ejpam-5910	350	21	multiple	multiple	ADJ
ejpam-5910	350	22	vacations	vacation	NOUN
ejpam-5910	350	23	,	,	PUNCT
ejpam-5910	350	24	the	the	DET
ejpam-5910	350	25	expected	expect	VERB
ejpam-5910	350	26	idle	idle	ADJ
ejpam-5910	350	27	period	period	NOUN
ejpam-5910	350	28	duration	duration	NOUN
ejpam-5910	350	29	e(i	e(i	PROPN
ejpam-5910	350	30	)	)	PUNCT
ejpam-5910	350	31	is	be	AUX
ejpam-5910	350	32	expressed	express	VERB
ejpam-5910	350	33	as	as	ADP
ejpam-5910	350	34	e(i	e(i	NOUN
ejpam-5910	350	35	)	)	PUNCT
ejpam-5910	350	36	=	=	SYM
ejpam-5910	350	37	e(i	e(i	PROPN
ejpam-5910	350	38	/	/	SYM
ejpam-5910	350	39	u1	u1	NOUN
ejpam-5910	350	40	=	=	SYM
ejpam-5910	350	41	0)p	0)p	NOUN
ejpam-5910	350	42	(	(	PUNCT
ejpam-5910	350	43	u1	u1	NOUN
ejpam-5910	350	44	=	=	SYM
ejpam-5910	350	45	0	0	NUM
ejpam-5910	350	46	)	)	PUNCT
ejpam-5910	351	1	+	+	CCONJ
ejpam-5910	351	2	e(i	e(i	PROPN
ejpam-5910	351	3	/	/	SYM
ejpam-5910	351	4	u1	u1	NOUN
ejpam-5910	351	5	=	=	SYM
ejpam-5910	351	6	1)p	1)p	NUM
ejpam-5910	351	7	(	(	PUNCT
ejpam-5910	351	8	u1	u1	NOUN
ejpam-5910	351	9	=	=	SYM
ejpam-5910	351	10	1	1	NUM
ejpam-5910	351	11	)	)	PUNCT
ejpam-5910	351	12	=	=	NOUN
ejpam-5910	351	13	e(v	e(v	NOUN
ejpam-5910	351	14	)	)	PUNCT
ejpam-5910	351	15	p	p	NOUN
ejpam-5910	351	16	(	(	PUNCT
ejpam-5910	351	17	u1	u1	NOUN
ejpam-5910	351	18	=	=	SYM
ejpam-5910	351	19	0	0	NUM
ejpam-5910	351	20	)	)	PUNCT
ejpam-5910	351	21	+	+	CCONJ
ejpam-5910	352	1	[	[	X
ejpam-5910	352	2	e(v	e(v	NOUN
ejpam-5910	352	3	)	)	PUNCT
ejpam-5910	353	1	+	+	CCONJ
ejpam-5910	353	2	e(i)]p	e(i)]p	X
ejpam-5910	353	3	(	(	PUNCT
ejpam-5910	353	4	u1	u1	NOUN
ejpam-5910	353	5	=	=	SYM
ejpam-5910	353	6	1	1	NUM
ejpam-5910	353	7	)	)	PUNCT
ejpam-5910	353	8	once	once	ADV
ejpam-5910	353	9	solved	solve	VERB
ejpam-5910	353	10	,	,	PUNCT
ejpam-5910	353	11	we	we	PRON
ejpam-5910	353	12	obtain	obtain	VERB
ejpam-5910	353	13	e(i	e(i	NOUN
ejpam-5910	353	14	)	)	PUNCT
ejpam-5910	353	15	=	=	SYM
ejpam-5910	353	16	e(v	e(v	NOUN
ejpam-5910	353	17	)	)	PUNCT
ejpam-5910	354	1	p	p	NOUN
ejpam-5910	354	2	(	(	PUNCT
ejpam-5910	354	3	u1	u1	NOUN
ejpam-5910	354	4	=	=	SYM
ejpam-5910	354	5	0	0	NUM
ejpam-5910	354	6	)	)	PUNCT
ejpam-5910	354	7	=	=	SYM
ejpam-5910	354	8	e(v	e(v	NOUN
ejpam-5910	354	9	)	)	PUNCT
ejpam-5910	354	10	1−	1−	NUM
ejpam-5910	354	11	p	p	NOUN
ejpam-5910	354	12	(	(	PUNCT
ejpam-5910	354	13	u1	u1	NOUN
ejpam-5910	354	14	=	=	SYM
ejpam-5910	354	15	1	1	NUM
ejpam-5910	354	16	)	)	PUNCT
ejpam-5910	354	17	(	(	PUNCT
ejpam-5910	354	18	55	55	NUM
ejpam-5910	354	19	)	)	PUNCT
ejpam-5910	354	20	from	from	ADP
ejpam-5910	354	21	eq.(32	eq.(32	PROPN
ejpam-5910	354	22	)	)	PUNCT
ejpam-5910	354	23	,	,	PUNCT
ejpam-5910	354	24	q1n(0	q1n(0	PROPN
ejpam-5910	354	25	)	)	PUNCT
ejpam-5910	355	1	=	=	NOUN
ejpam-5910	355	2	coefficient	coefficient	NOUN
ejpam-5910	355	3	of	of	ADP
ejpam-5910	355	4	znin	znin	NOUN
ejpam-5910	355	5	q1(z	q1(z	PROPN
ejpam-5910	355	6	,	,	PUNCT
ejpam-5910	355	7	0	0	NUM
ejpam-5910	355	8	)	)	PUNCT
ejpam-5910	355	9	p	p	NOUN
ejpam-5910	355	10	(	(	PUNCT
ejpam-5910	355	11	u1	u1	NOUN
ejpam-5910	355	12	=	=	SYM
ejpam-5910	355	13	0	0	NUM
ejpam-5910	355	14	)	)	PUNCT
ejpam-5910	355	15	=	=	SYM
ejpam-5910	355	16	1−	1−	NUM
ejpam-5910	355	17	a−1∑	a−1∑	PRON
ejpam-5910	355	18	n=0	n=0	PROPN
ejpam-5910	355	19	q1n(0	q1n(0	PROPN
ejpam-5910	355	20	)	)	PUNCT
ejpam-5910	355	21	=	=	SYM
ejpam-5910	355	22	1−	1−	NUM
ejpam-5910	355	23	a−1∑	a−1∑	PRON
ejpam-5910	355	24	n=0	n=0	PROPN
ejpam-5910	355	25	n∑	n∑	PROPN
ejpam-5910	355	26	ι=0	ι=0	PART
ejpam-5910	355	27	βιf0	βιf0	PROPN
ejpam-5910	355	28	substitute	substitute	NOUN
ejpam-5910	355	29	in	in	ADP
ejpam-5910	355	30	(	(	PUNCT
ejpam-5910	355	31	55),we	55),we	PROPN
ejpam-5910	355	32	get	get	VERB
ejpam-5910	355	33	e(i	e(i	NOUN
ejpam-5910	355	34	)	)	PUNCT
ejpam-5910	355	35	=	=	SYM
ejpam-5910	355	36	e(v	e(v	NOUN
ejpam-5910	355	37	)	)	PUNCT
ejpam-5910	355	38	1−	1−	NUM
ejpam-5910	355	39	a−1∑	a−1∑	PRON
ejpam-5910	355	40	n=0	n=0	PROPN
ejpam-5910	355	41	n∑	n∑	PROPN
ejpam-5910	355	42	ι=0	ι=0	X
ejpam-5910	355	43	βιf0	βιf0	PROPN
ejpam-5910	355	44	6.3	6.3	NUM
ejpam-5910	355	45	.	.	PUNCT
ejpam-5910	356	1	expected	expect	VERB
ejpam-5910	356	2	length	length	NOUN
ejpam-5910	356	3	of	of	ADP
ejpam-5910	356	4	busy	busy	ADJ
ejpam-5910	356	5	period	period	NOUN
ejpam-5910	356	6	theorem	theorem	VERB
ejpam-5910	356	7	2	2	X
ejpam-5910	356	8	.	.	PUNCT
ejpam-5910	357	1	let	let	VERB
ejpam-5910	357	2	b	b	X
ejpam-5910	357	3	be	be	AUX
ejpam-5910	357	4	the	the	DET
ejpam-5910	357	5	random	random	ADJ
ejpam-5910	357	6	variable	variable	NOUN
ejpam-5910	357	7	during	during	ADP
ejpam-5910	357	8	the	the	DET
ejpam-5910	357	9	busy	busy	ADJ
ejpam-5910	357	10	period	period	NOUN
ejpam-5910	357	11	.	.	PUNCT
ejpam-5910	358	1	the	the	DET
ejpam-5910	358	2	expected	expect	VERB
ejpam-5910	358	3	duration	duration	NOUN
ejpam-5910	358	4	of	of	ADP
ejpam-5910	358	5	the	the	DET
ejpam-5910	358	6	busy	busy	ADJ
ejpam-5910	358	7	time	time	NOUN
ejpam-5910	358	8	is	be	AUX
ejpam-5910	358	9	then	then	ADV
ejpam-5910	358	10	e(b	e(b	ADJ
ejpam-5910	358	11	)	)	PUNCT
ejpam-5910	358	12	=	=	SYM
ejpam-5910	358	13	e(t	e(t	PROPN
ejpam-5910	358	14	)	)	PUNCT
ejpam-5910	359	1	f0	f0	PROPN
ejpam-5910	359	2	.	.	PUNCT
ejpam-5910	360	1	(	(	PUNCT
ejpam-5910	360	2	56	56	NUM
ejpam-5910	360	3	)	)	PUNCT
ejpam-5910	360	4	where	where	SCONJ
ejpam-5910	360	5	e(t	e(t	NOUN
ejpam-5910	360	6	)	)	PUNCT
ejpam-5910	360	7	=	=	SYM
ejpam-5910	360	8	e(s	e(s	ADJ
ejpam-5910	360	9	)	)	PUNCT
ejpam-5910	361	1	+	+	CCONJ
ejpam-5910	361	2	e(c	e(c	X
ejpam-5910	361	3	)	)	PUNCT
ejpam-5910	361	4	+	+	CCONJ
ejpam-5910	361	5	φe(r	φe(r	NOUN
ejpam-5910	361	6	)	)	PUNCT
ejpam-5910	361	7	.	.	PUNCT
ejpam-5910	362	1	proof	proof	NOUN
ejpam-5910	362	2	.	.	PUNCT
ejpam-5910	363	1	let	let	VERB
ejpam-5910	363	2	t	t	PROPN
ejpam-5910	363	3	represent	represent	VERB
ejpam-5910	363	4	the	the	DET
ejpam-5910	363	5	residence	residence	NOUN
ejpam-5910	363	6	time	time	NOUN
ejpam-5910	363	7	that	that	SCONJ
ejpam-5910	363	8	the	the	DET
ejpam-5910	363	9	server	server	NOUN
ejpam-5910	363	10	utilizes	utilize	VERB
ejpam-5910	363	11	for	for	ADP
ejpam-5910	363	12	renovation	renovation	NOUN
ejpam-5910	363	13	or	or	CCONJ
ejpam-5910	363	14	low	low	ADJ
ejpam-5910	363	15	-	-	PUNCT
ejpam-5910	363	16	batch	batch	NOUN
ejpam-5910	363	17	or	or	CCONJ
ejpam-5910	363	18	bulk	bulk	ADJ
ejpam-5910	363	19	services	service	NOUN
ejpam-5910	363	20	.	.	PUNCT
ejpam-5910	364	1	e(t	e(t	NOUN
ejpam-5910	364	2	)	)	PUNCT
ejpam-5910	365	1	=	=	SYM
ejpam-5910	365	2	e(s	e(s	ADJ
ejpam-5910	365	3	)	)	PUNCT
ejpam-5910	366	1	+	+	CCONJ
ejpam-5910	366	2	e(c	e(c	X
ejpam-5910	366	3	)	)	PUNCT
ejpam-5910	367	1	+	+	CCONJ
ejpam-5910	367	2	φe(r	φe(r	NOUN
ejpam-5910	367	3	)	)	PUNCT
ejpam-5910	367	4	.	.	PUNCT
ejpam-5910	368	1	construct	construct	VERB
ejpam-5910	368	2	a	a	DET
ejpam-5910	368	3	random	random	ADJ
ejpam-5910	368	4	variable	variable	NOUN
ejpam-5910	368	5	u2	u2	NOUN
ejpam-5910	368	6	as	as	ADP
ejpam-5910	368	7	u2	u2	NOUN
ejpam-5910	368	8	=	=	PUNCT
ejpam-5910	368	9	{	{	PUNCT
ejpam-5910	368	10	1	1	NUM
ejpam-5910	368	11	,	,	PUNCT
ejpam-5910	368	12	if	if	SCONJ
ejpam-5910	368	13	beyond	beyond	ADP
ejpam-5910	368	14	the	the	DET
ejpam-5910	368	15	residency	residency	NOUN
ejpam-5910	368	16	time	time	NOUN
ejpam-5910	368	17	,	,	PUNCT
ejpam-5910	368	18	the	the	DET
ejpam-5910	368	19	server	server	NOUN
ejpam-5910	368	20	finds	find	VERB
ejpam-5910	368	21	at	at	ADP
ejpam-5910	368	22	least	least	ADV
ejpam-5910	368	23	one	one	NUM
ejpam-5910	368	24	customer	customer	NOUN
ejpam-5910	368	25	.	.	PUNCT
ejpam-5910	369	1	0	0	NUM
ejpam-5910	369	2	,	,	PUNCT
ejpam-5910	369	3	if	if	SCONJ
ejpam-5910	369	4	no	no	DET
ejpam-5910	369	5	customer	customer	NOUN
ejpam-5910	369	6	is	be	AUX
ejpam-5910	369	7	found	find	VERB
ejpam-5910	369	8	by	by	ADP
ejpam-5910	369	9	the	the	DET
ejpam-5910	369	10	server	server	NOUN
ejpam-5910	369	11	after	after	ADP
ejpam-5910	369	12	the	the	DET
ejpam-5910	369	13	residence	residence	NOUN
ejpam-5910	369	14	time	time	NOUN
ejpam-5910	369	15	.	.	PUNCT
ejpam-5910	370	1	due	due	ADP
ejpam-5910	370	2	to	to	ADP
ejpam-5910	370	3	multiple	multiple	ADJ
ejpam-5910	370	4	vacations	vacation	NOUN
ejpam-5910	370	5	,	,	PUNCT
ejpam-5910	370	6	the	the	DET
ejpam-5910	370	7	expected	expect	VERB
ejpam-5910	370	8	busy	busy	ADJ
ejpam-5910	370	9	period	period	NOUN
ejpam-5910	370	10	duration	duration	NOUN
ejpam-5910	370	11	e(b	e(b	ADJ
ejpam-5910	370	12	)	)	PUNCT
ejpam-5910	370	13	is	be	AUX
ejpam-5910	370	14	expressed	express	VERB
ejpam-5910	370	15	as	as	ADP
ejpam-5910	370	16	e(b	e(b	PROPN
ejpam-5910	370	17	)	)	PUNCT
ejpam-5910	370	18	=	=	SYM
ejpam-5910	370	19	e(t	e(t	NOUN
ejpam-5910	370	20	/	/	SYM
ejpam-5910	370	21	u2	u2	PROPN
ejpam-5910	370	22	=	=	PUNCT
ejpam-5910	370	23	0)p	0)p	NOUN
ejpam-5910	370	24	(	(	PUNCT
ejpam-5910	370	25	u2	u2	NOUN
ejpam-5910	370	26	=	=	NOUN
ejpam-5910	370	27	0	0	NUM
ejpam-5910	370	28	)	)	PUNCT
ejpam-5910	371	1	+	+	CCONJ
ejpam-5910	371	2	e(t	e(t	NOUN
ejpam-5910	371	3	/	/	SYM
ejpam-5910	371	4	u2	u2	PROPN
ejpam-5910	371	5	=	=	SYM
ejpam-5910	371	6	1)p	1)p	PROPN
ejpam-5910	371	7	(	(	PUNCT
ejpam-5910	371	8	u2	u2	NOUN
ejpam-5910	371	9	=	=	NOUN
ejpam-5910	371	10	1	1	NUM
ejpam-5910	371	11	)	)	PUNCT
ejpam-5910	372	1	=	=	SYM
ejpam-5910	372	2	e(t	e(t	NOUN
ejpam-5910	372	3	)	)	PUNCT
ejpam-5910	373	1	p	p	X
ejpam-5910	373	2	(	(	PUNCT
ejpam-5910	373	3	u2	u2	NOUN
ejpam-5910	373	4	=	=	NOUN
ejpam-5910	373	5	0	0	NUM
ejpam-5910	373	6	)	)	PUNCT
ejpam-5910	373	7	+	+	CCONJ
ejpam-5910	374	1	[	[	X
ejpam-5910	374	2	e(t	e(t	NOUN
ejpam-5910	374	3	)	)	PUNCT
ejpam-5910	374	4	+	+	CCONJ
ejpam-5910	374	5	e(b)]p	e(b)]p	X
ejpam-5910	374	6	(	(	PUNCT
ejpam-5910	374	7	u2	u2	NOUN
ejpam-5910	374	8	=	=	NOUN
ejpam-5910	374	9	1	1	NUM
ejpam-5910	374	10	)	)	PUNCT
ejpam-5910	374	11	the	the	DET
ejpam-5910	374	12	mean	mean	ADJ
ejpam-5910	374	13	service	service	NOUN
ejpam-5910	374	14	time	time	NOUN
ejpam-5910	374	15	is	be	AUX
ejpam-5910	374	16	indicated	indicate	VERB
ejpam-5910	374	17	by	by	ADP
ejpam-5910	374	18	e(t	e(t	PROPN
ejpam-5910	374	19	)	)	PUNCT
ejpam-5910	374	20	,	,	PUNCT
ejpam-5910	374	21	and	and	CCONJ
ejpam-5910	374	22	e(b	e(b	VERB
ejpam-5910	374	23	)	)	PUNCT
ejpam-5910	374	24	can	can	AUX
ejpam-5910	374	25	be	be	AUX
ejpam-5910	374	26	found	find	VERB
ejpam-5910	374	27	by	by	ADP
ejpam-5910	374	28	solving	solve	VERB
ejpam-5910	374	29	for	for	ADP
ejpam-5910	374	30	it	it	PRON
ejpam-5910	374	31	.	.	PUNCT
ejpam-5910	375	1	e(b	e(b	PROPN
ejpam-5910	375	2	)	)	PUNCT
ejpam-5910	375	3	=	=	SYM
ejpam-5910	375	4	e(t	e(t	NOUN
ejpam-5910	375	5	)	)	PUNCT
ejpam-5910	376	1	p	p	X
ejpam-5910	376	2	(	(	PUNCT
ejpam-5910	376	3	u2=0	u2=0	PROPN
ejpam-5910	376	4	)	)	PUNCT
ejpam-5910	377	1	=	=	SYM
ejpam-5910	377	2	e(t	e(t	PROPN
ejpam-5910	377	3	)	)	PUNCT
ejpam-5910	377	4	f0	f0	PROPN
ejpam-5910	377	5	.	.	PUNCT
ejpam-5910	378	1	karpagam	karpagam	PROPN
ejpam-5910	378	2	s	s	PROPN
ejpam-5910	378	3	,	,	PUNCT
ejpam-5910	378	4	aarthy	aarthy	ADJ
ejpam-5910	378	5	n	n	CCONJ
ejpam-5910	378	6	,	,	PUNCT
ejpam-5910	378	7	g.	g.	PROPN
ejpam-5910	378	8	k.	k.	PROPN
ejpam-5910	378	9	gupta	gupta	PROPN
ejpam-5910	378	10	/	/	SYM
ejpam-5910	378	11	eur	eur	PROPN
ejpam-5910	378	12	.	.	PUNCT
ejpam-5910	379	1	j.	j.	PROPN
ejpam-5910	379	2	pure	pure	PROPN
ejpam-5910	379	3	appl	appl	PROPN
ejpam-5910	379	4	.	.	PROPN
ejpam-5910	379	5	math	math	PROPN
ejpam-5910	379	6	,	,	PUNCT
ejpam-5910	379	7	18	18	NUM
ejpam-5910	379	8	(	(	PUNCT
ejpam-5910	379	9	3	3	NUM
ejpam-5910	379	10	)	)	PUNCT
ejpam-5910	379	11	(	(	PUNCT
ejpam-5910	379	12	2025	2025	NUM
ejpam-5910	379	13	)	)	PUNCT
ejpam-5910	379	14	,	,	PUNCT
ejpam-5910	379	15	5910	5910	NUM
ejpam-5910	379	16	18	18	NUM
ejpam-5910	379	17	of	of	ADP
ejpam-5910	379	18	28	28	NUM
ejpam-5910	379	19	6.4	6.4	NUM
ejpam-5910	379	20	.	.	PUNCT
ejpam-5910	380	1	expected	expect	VERB
ejpam-5910	380	2	waiting	waiting	NOUN
ejpam-5910	380	3	time	time	NOUN
ejpam-5910	380	4	little	little	ADJ
ejpam-5910	380	5	’s	’s	ADJ
ejpam-5910	380	6	formula	formula	NOUN
ejpam-5910	380	7	allows	allow	VERB
ejpam-5910	380	8	for	for	ADP
ejpam-5910	380	9	the	the	DET
ejpam-5910	380	10	following	follow	VERB
ejpam-5910	380	11	calculation	calculation	NOUN
ejpam-5910	380	12	of	of	ADP
ejpam-5910	380	13	the	the	DET
ejpam-5910	380	14	expected	expect	VERB
ejpam-5910	380	15	waiting	waiting	NOUN
ejpam-5910	380	16	time	time	NOUN
ejpam-5910	380	17	:	:	PUNCT
ejpam-5910	381	1	e(w	e(w	ADJ
ejpam-5910	381	2	)	)	PUNCT
ejpam-5910	382	1	=	=	SYM
ejpam-5910	382	2	e(q	e(q	PROPN
ejpam-5910	382	3	)	)	PUNCT
ejpam-5910	382	4	λe(x	λe(x	NUM
ejpam-5910	382	5	)	)	PUNCT
ejpam-5910	382	6	,	,	PUNCT
ejpam-5910	382	7	(	(	PUNCT
ejpam-5910	382	8	57	57	NUM
ejpam-5910	382	9	)	)	PUNCT
ejpam-5910	382	10	in	in	ADP
ejpam-5910	382	11	equation	equation	NOUN
ejpam-5910	382	12	.	.	PUNCT
ejpam-5910	383	1	(	(	PUNCT
ejpam-5910	383	2	54	54	NUM
ejpam-5910	383	3	)	)	PUNCT
ejpam-5910	383	4	,	,	PUNCT
ejpam-5910	383	5	e(q	e(q	PROPN
ejpam-5910	383	6	)	)	PUNCT
ejpam-5910	383	7	is	be	AUX
ejpam-5910	383	8	defined	define	VERB
ejpam-5910	383	9	.	.	PUNCT
ejpam-5910	384	1	7	7	X
ejpam-5910	384	2	.	.	X
ejpam-5910	384	3	cost	cost	NOUN
ejpam-5910	384	4	model	model	NOUN
ejpam-5910	384	5	in	in	ADP
ejpam-5910	384	6	all	all	DET
ejpam-5910	384	7	practical	practical	ADJ
ejpam-5910	384	8	situations	situation	NOUN
ejpam-5910	384	9	,	,	PUNCT
ejpam-5910	384	10	cost	cost	VERB
ejpam-5910	384	11	analysis	analysis	NOUN
ejpam-5910	384	12	represents	represent	VERB
ejpam-5910	384	13	the	the	DET
ejpam-5910	384	14	important	important	ADJ
ejpam-5910	384	15	factor	factor	NOUN
ejpam-5910	384	16	across	across	ADP
ejpam-5910	384	17	all	all	DET
ejpam-5910	384	18	tiers	tier	NOUN
ejpam-5910	384	19	.	.	PUNCT
ejpam-5910	385	1	costs	cost	NOUN
ejpam-5910	385	2	include	include	VERB
ejpam-5910	385	3	those	those	PRON
ejpam-5910	385	4	for	for	ADP
ejpam-5910	385	5	holding	hold	VERB
ejpam-5910	385	6	,	,	PUNCT
ejpam-5910	385	7	operating	operating	NOUN
ejpam-5910	385	8	,	,	PUNCT
ejpam-5910	385	9	renovating	renovating	NOUN
ejpam-5910	385	10	,	,	PUNCT
ejpam-5910	385	11	starting	start	VERB
ejpam-5910	385	12	up	up	ADV
ejpam-5910	385	13	and	and	CCONJ
ejpam-5910	385	14	rewarding	rewarding	ADJ
ejpam-5910	385	15	(	(	PUNCT
ejpam-5910	385	16	if	if	SCONJ
ejpam-5910	385	17	appropriate	appropriate	ADJ
ejpam-5910	385	18	)	)	PUNCT
ejpam-5910	385	19	.	.	PUNCT
ejpam-5910	386	1	it	it	PRON
ejpam-5910	386	2	makes	make	VERB
ejpam-5910	386	3	sense	sense	NOUN
ejpam-5910	386	4	that	that	SCONJ
ejpam-5910	386	5	the	the	DET
ejpam-5910	386	6	system	system	NOUN
ejpam-5910	386	7	’s	’s	PART
ejpam-5910	386	8	administration	administration	NOUN
ejpam-5910	386	9	would	would	AUX
ejpam-5910	386	10	want	want	VERB
ejpam-5910	386	11	to	to	PART
ejpam-5910	386	12	keep	keep	VERB
ejpam-5910	386	13	the	the	DET
ejpam-5910	386	14	average	average	ADJ
ejpam-5910	386	15	cost	cost	NOUN
ejpam-5910	386	16	as	as	ADV
ejpam-5910	386	17	low	low	ADJ
ejpam-5910	386	18	as	as	ADP
ejpam-5910	386	19	possible	possible	ADJ
ejpam-5910	386	20	.	.	PUNCT
ejpam-5910	387	1	under	under	ADP
ejpam-5910	387	2	the	the	DET
ejpam-5910	387	3	following	follow	VERB
ejpam-5910	387	4	assumptions	assumption	NOUN
ejpam-5910	387	5	,	,	PUNCT
ejpam-5910	387	6	the	the	DET
ejpam-5910	387	7	formula	formula	NOUN
ejpam-5910	387	8	for	for	ADP
ejpam-5910	387	9	determining	determine	VERB
ejpam-5910	387	10	the	the	DET
ejpam-5910	387	11	total	total	ADJ
ejpam-5910	387	12	average	average	ADJ
ejpam-5910	387	13	cost	cost	NOUN
ejpam-5910	387	14	is	be	AUX
ejpam-5910	387	15	developed	develop	VERB
ejpam-5910	387	16	.	.	PUNCT
ejpam-5910	388	1	•	•	NUM
ejpam-5910	388	2	cs	cs	PROPN
ejpam-5910	388	3	:	:	PUNCT
ejpam-5910	388	4	cost	cost	NOUN
ejpam-5910	388	5	of	of	ADP
ejpam-5910	388	6	startup	startup	NOUN
ejpam-5910	388	7	.	.	PUNCT
ejpam-5910	389	1	•	•	NUM
ejpam-5910	389	2	ch	ch	NOUN
ejpam-5910	389	3	:	:	PUNCT
ejpam-5910	389	4	holding	hold	VERB
ejpam-5910	389	5	expenses	expense	NOUN
ejpam-5910	389	6	for	for	ADP
ejpam-5910	389	7	each	each	DET
ejpam-5910	389	8	customer	customer	NOUN
ejpam-5910	389	9	.	.	PUNCT
ejpam-5910	390	1	•	•	NUM
ejpam-5910	390	2	co	co	NOUN
ejpam-5910	390	3	:	:	PUNCT
ejpam-5910	390	4	operational	operational	ADJ
ejpam-5910	390	5	costs	cost	NOUN
ejpam-5910	390	6	per	per	ADP
ejpam-5910	390	7	unit	unit	NOUN
ejpam-5910	390	8	of	of	ADP
ejpam-5910	390	9	time	time	NOUN
ejpam-5910	390	10	.	.	PUNCT
ejpam-5910	391	1	•	•	NUM
ejpam-5910	391	2	cv	cv	PROPN
ejpam-5910	391	3	:	:	PUNCT
ejpam-5910	391	4	renovation	renovation	NOUN
ejpam-5910	391	5	costs	cost	NOUN
ejpam-5910	391	6	per	per	ADP
ejpam-5910	391	7	unit	unit	NOUN
ejpam-5910	391	8	of	of	ADP
ejpam-5910	391	9	time	time	NOUN
ejpam-5910	391	10	.	.	PUNCT
ejpam-5910	392	1	•	•	NUM
ejpam-5910	392	2	cr	cr	PROPN
ejpam-5910	392	3	:	:	PUNCT
ejpam-5910	392	4	time	time	NOUN
ejpam-5910	392	5	-	-	PUNCT
ejpam-5910	392	6	per	per	ADP
ejpam-5910	392	7	-	-	PUNCT
ejpam-5910	392	8	unit	unit	NOUN
ejpam-5910	392	9	reward	reward	NOUN
ejpam-5910	392	10	cost	cost	NOUN
ejpam-5910	392	11	.	.	PUNCT
ejpam-5910	393	1	since	since	SCONJ
ejpam-5910	393	2	the	the	DET
ejpam-5910	393	3	duration	duration	NOUN
ejpam-5910	393	4	of	of	ADP
ejpam-5910	393	5	a	a	DET
ejpam-5910	393	6	cycle	cycle	NOUN
ejpam-5910	393	7	equals	equal	VERB
ejpam-5910	393	8	the	the	DET
ejpam-5910	393	9	total	total	NOUN
ejpam-5910	393	10	of	of	ADP
ejpam-5910	393	11	its	its	PRON
ejpam-5910	393	12	idle	idle	ADJ
ejpam-5910	393	13	and	and	CCONJ
ejpam-5910	393	14	busy	busy	ADJ
ejpam-5910	393	15	periods	period	NOUN
ejpam-5910	393	16	,	,	PUNCT
ejpam-5910	393	17	as	as	SCONJ
ejpam-5910	393	18	given	give	VERB
ejpam-5910	393	19	by	by	ADP
ejpam-5910	393	20	equations	equation	NOUN
ejpam-5910	393	21	(	(	PUNCT
ejpam-5910	393	22	55	55	NUM
ejpam-5910	393	23	)	)	PUNCT
ejpam-5910	393	24	and	and	CCONJ
ejpam-5910	393	25	(	(	PUNCT
ejpam-5910	393	26	56	56	NUM
ejpam-5910	393	27	)	)	PUNCT
ejpam-5910	393	28	,	,	PUNCT
ejpam-5910	393	29	the	the	DET
ejpam-5910	393	30	expected	expect	VERB
ejpam-5910	393	31	length	length	NOUN
ejpam-5910	393	32	of	of	ADP
ejpam-5910	393	33	the	the	DET
ejpam-5910	393	34	cycle	cycle	NOUN
ejpam-5910	393	35	e(tc	e(tc	NOUN
ejpam-5910	393	36	)	)	PUNCT
ejpam-5910	393	37	is	be	AUX
ejpam-5910	393	38	equal	equal	ADJ
ejpam-5910	393	39	to	to	ADP
ejpam-5910	393	40	e(i	e(i	NOUN
ejpam-5910	393	41	)	)	PUNCT
ejpam-5910	393	42	+	+	CCONJ
ejpam-5910	393	43	e(b	e(b	NOUN
ejpam-5910	393	44	)	)	PUNCT
ejpam-5910	393	45	.	.	PUNCT
ejpam-5910	394	1	total	total	ADJ
ejpam-5910	394	2	average	average	ADJ
ejpam-5910	394	3	cost	cost	NOUN
ejpam-5910	394	4	=	=	PUNCT
ejpam-5910	394	5	starting	start	VERB
ejpam-5910	394	6	costs	cost	NOUN
ejpam-5910	394	7	for	for	ADP
ejpam-5910	394	8	each	each	DET
ejpam-5910	394	9	cycle	cycle	NOUN
ejpam-5910	394	10	+	+	CCONJ
ejpam-5910	394	11	renovation	renovation	NOUN
ejpam-5910	394	12	costs	cost	NOUN
ejpam-5910	394	13	for	for	ADP
ejpam-5910	394	14	each	each	DET
ejpam-5910	394	15	cycle	cycle	NOUN
ejpam-5910	394	16	+	+	CCONJ
ejpam-5910	394	17	holding	hold	VERB
ejpam-5910	394	18	cost	cost	NOUN
ejpam-5910	394	19	of	of	ADP
ejpam-5910	394	20	customer	customer	NOUN
ejpam-5910	394	21	waiting	wait	VERB
ejpam-5910	394	22	in	in	ADP
ejpam-5910	394	23	line	line	NOUN
ejpam-5910	394	24	for	for	ADP
ejpam-5910	394	25	each	each	DET
ejpam-5910	394	26	unit	unit	NOUN
ejpam-5910	394	27	of	of	ADP
ejpam-5910	394	28	time	time	NOUN
ejpam-5910	394	29	+	+	CCONJ
ejpam-5910	394	30	operating	operating	NOUN
ejpam-5910	394	31	costs	cost	NOUN
ejpam-5910	394	32	for	for	ADP
ejpam-5910	394	33	each	each	DET
ejpam-5910	394	34	unit	unit	NOUN
ejpam-5910	394	35	of	of	ADP
ejpam-5910	394	36	time	time	NOUN
ejpam-5910	394	37	(	(	PUNCT
ejpam-5910	394	38	ρ	ρ	NOUN
ejpam-5910	394	39	)	)	PUNCT
ejpam-5910	394	40	−	−	NOUN
ejpam-5910	394	41	the	the	DET
ejpam-5910	394	42	cost	cost	NOUN
ejpam-5910	394	43	of	of	ADP
ejpam-5910	394	44	the	the	DET
ejpam-5910	394	45	rewards	reward	NOUN
ejpam-5910	394	46	for	for	ADP
ejpam-5910	394	47	each	each	DET
ejpam-5910	394	48	cycle	cycle	NOUN
ejpam-5910	394	49	of	of	ADP
ejpam-5910	394	50	vacation	vacation	NOUN
ejpam-5910	394	51	.	.	PUNCT
ejpam-5910	395	1	tac	tac	PROPN
ejpam-5910	395	2	=	=	PUNCT
ejpam-5910	396	1	[	[	PUNCT
ejpam-5910	396	2	cs	cs	X
ejpam-5910	396	3	+	+	CCONJ
ejpam-5910	396	4	φcve(r)−	φcve(r)−	PROPN
ejpam-5910	396	5	cr	cr	NOUN
ejpam-5910	396	6	e(v	e(v	PROPN
ejpam-5910	396	7	)	)	PUNCT
ejpam-5910	397	1	p	p	NOUN
ejpam-5910	397	2	(	(	PUNCT
ejpam-5910	397	3	u1	u1	NOUN
ejpam-5910	397	4	=	=	SYM
ejpam-5910	397	5	0	0	NUM
ejpam-5910	397	6	)	)	PUNCT
ejpam-5910	397	7	]	]	PUNCT
ejpam-5910	397	8	1	1	NUM
ejpam-5910	397	9	e(tc	e(tc	NUM
ejpam-5910	397	10	)	)	PUNCT
ejpam-5910	397	11	+	+	CCONJ
ejpam-5910	397	12	coρ+	coρ+	NOUN
ejpam-5910	397	13	che(q	che(q	NOUN
ejpam-5910	397	14	)	)	PUNCT
ejpam-5910	397	15	(	(	PUNCT
ejpam-5910	397	16	58	58	NUM
ejpam-5910	397	17	)	)	PUNCT
ejpam-5910	397	18	where	where	SCONJ
ejpam-5910	397	19	ρ	ρ	NOUN
ejpam-5910	397	20	=	=	SYM
ejpam-5910	397	21	λe(x)[e(s	λe(x)[e(s	PROPN
ejpam-5910	397	22	)	)	PUNCT
ejpam-5910	397	23	+	+	NUM
ejpam-5910	397	24	φe(r	φe(r	NOUN
ejpam-5910	397	25	)	)	PUNCT
ejpam-5910	397	26	]	]	PUNCT
ejpam-5910	398	1	b	b	X
ejpam-5910	398	2	karpagam	karpagam	PROPN
ejpam-5910	398	3	s	s	PROPN
ejpam-5910	398	4	,	,	PUNCT
ejpam-5910	398	5	aarthy	aarthy	ADJ
ejpam-5910	398	6	n	n	CCONJ
ejpam-5910	398	7	,	,	PUNCT
ejpam-5910	399	1	g.	g.	PROPN
ejpam-5910	399	2	k.	k.	PROPN
ejpam-5910	399	3	gupta	gupta	PROPN
ejpam-5910	399	4	/	/	SYM
ejpam-5910	399	5	eur	eur	PROPN
ejpam-5910	399	6	.	.	PUNCT
ejpam-5910	400	1	j.	j.	PROPN
ejpam-5910	400	2	pure	pure	PROPN
ejpam-5910	400	3	appl	appl	PROPN
ejpam-5910	400	4	.	.	PROPN
ejpam-5910	400	5	math	math	PROPN
ejpam-5910	400	6	,	,	PUNCT
ejpam-5910	400	7	18	18	NUM
ejpam-5910	400	8	(	(	PUNCT
ejpam-5910	400	9	3	3	NUM
ejpam-5910	400	10	)	)	PUNCT
ejpam-5910	400	11	(	(	PUNCT
ejpam-5910	400	12	2025	2025	NUM
ejpam-5910	400	13	)	)	PUNCT
ejpam-5910	400	14	,	,	PUNCT
ejpam-5910	400	15	5910	5910	NUM
ejpam-5910	400	16	19	19	NUM
ejpam-5910	400	17	of	of	ADP
ejpam-5910	400	18	28	28	NUM
ejpam-5910	400	19	8	8	NUM
ejpam-5910	400	20	.	.	PUNCT
ejpam-5910	401	1	numerical	numerical	PROPN
ejpam-5910	401	2	representation	representation	PROPN
ejpam-5910	401	3	an	an	DET
ejpam-5910	401	4	illustrative	illustrative	ADJ
ejpam-5910	401	5	example	example	NOUN
ejpam-5910	401	6	for	for	ADP
ejpam-5910	401	7	the	the	DET
ejpam-5910	401	8	prescribed	prescribed	ADJ
ejpam-5910	401	9	model	model	NOUN
ejpam-5910	401	10	is	be	AUX
ejpam-5910	401	11	investigated	investigate	VERB
ejpam-5910	401	12	in	in	ADP
ejpam-5910	401	13	the	the	DET
ejpam-5910	401	14	context	context	NOUN
ejpam-5910	401	15	of	of	ADP
ejpam-5910	401	16	a	a	DET
ejpam-5910	401	17	specific	specific	ADJ
ejpam-5910	401	18	scenario	scenario	NOUN
ejpam-5910	401	19	under	under	ADP
ejpam-5910	401	20	the	the	DET
ejpam-5910	401	21	subsequent	subsequent	ADJ
ejpam-5910	401	22	presumptions	presumption	NOUN
ejpam-5910	401	23	:	:	PUNCT
ejpam-5910	401	24	•	•	ADP
ejpam-5910	401	25	the	the	DET
ejpam-5910	401	26	arrival	arrival	NOUN
ejpam-5910	401	27	batch	batch	NOUN
ejpam-5910	401	28	size	size	NOUN
ejpam-5910	401	29	follows	follow	VERB
ejpam-5910	401	30	a	a	DET
ejpam-5910	401	31	geometric	geometric	ADJ
ejpam-5910	401	32	distribution	distribution	NOUN
ejpam-5910	401	33	with	with	ADP
ejpam-5910	401	34	a	a	DET
ejpam-5910	401	35	mean	mean	NOUN
ejpam-5910	401	36	of	of	ADP
ejpam-5910	401	37	2	2	NUM
ejpam-5910	401	38	.	.	NOUN
ejpam-5910	401	39	•	•	NOUN
ejpam-5910	401	40	the	the	DET
ejpam-5910	401	41	erlang-2	erlang-2	NUM
ejpam-5910	401	42	service	service	NOUN
ejpam-5910	401	43	time	time	NOUN
ejpam-5910	401	44	distribution	distribution	NOUN
ejpam-5910	401	45	is	be	AUX
ejpam-5910	401	46	used	use	VERB
ejpam-5910	401	47	for	for	ADP
ejpam-5910	401	48	both	both	CCONJ
ejpam-5910	401	49	the	the	DET
ejpam-5910	401	50	main	main	ADJ
ejpam-5910	401	51	(	(	PUNCT
ejpam-5910	401	52	bulk	bulk	ADJ
ejpam-5910	401	53	)	)	PUNCT
ejpam-5910	401	54	server	server	NOUN
ejpam-5910	401	55	and	and	CCONJ
ejpam-5910	401	56	the	the	DET
ejpam-5910	401	57	low	low	ADJ
ejpam-5910	401	58	-	-	PUNCT
ejpam-5910	401	59	batch	batch	NOUN
ejpam-5910	401	60	server	server	NOUN
ejpam-5910	401	61	.	.	PROPN
ejpam-5910	402	1	•	•	NUM
ejpam-5910	403	1	the	the	DET
ejpam-5910	403	2	parameters	parameter	NOUN
ejpam-5910	403	3	of	of	ADP
ejpam-5910	403	4	the	the	DET
ejpam-5910	403	5	exponential	exponential	ADJ
ejpam-5910	403	6	distribution	distribution	NOUN
ejpam-5910	403	7	are	be	AUX
ejpam-5910	403	8	α	α	NOUN
ejpam-5910	403	9	=	=	SYM
ejpam-5910	403	10	5	5	NUM
ejpam-5910	403	11	and	and	CCONJ
ejpam-5910	403	12	β	β	X
ejpam-5910	403	13	=	=	SYM
ejpam-5910	403	14	5	5	NUM
ejpam-5910	403	15	,	,	PUNCT
ejpam-5910	403	16	respectively	respectively	ADV
ejpam-5910	403	17	,	,	PUNCT
ejpam-5910	403	18	for	for	ADP
ejpam-5910	403	19	vacation	vacation	NOUN
ejpam-5910	403	20	and	and	CCONJ
ejpam-5910	403	21	renovation	renovation	NOUN
ejpam-5910	403	22	rates	rate	NOUN
ejpam-5910	403	23	.	.	PUNCT
ejpam-5910	404	1	•	•	NUM
ejpam-5910	404	2	for	for	ADP
ejpam-5910	404	3	the	the	DET
ejpam-5910	404	4	main	main	ADJ
ejpam-5910	404	5	(	(	PUNCT
ejpam-5910	404	6	bulk	bulk	ADJ
ejpam-5910	404	7	)	)	PUNCT
ejpam-5910	404	8	server	server	NOUN
ejpam-5910	404	9	and	and	CCONJ
ejpam-5910	404	10	low	low	ADJ
ejpam-5910	404	11	-	-	PUNCT
ejpam-5910	404	12	batch	batch	NOUN
ejpam-5910	404	13	server	server	NOUN
ejpam-5910	404	14	,	,	PUNCT
ejpam-5910	404	15	let	let	VERB
ejpam-5910	404	16	µ1	µ1	NOUN
ejpam-5910	404	17	=	=	SYM
ejpam-5910	404	18	15	15	NUM
ejpam-5910	404	19	and	and	CCONJ
ejpam-5910	404	20	µ2	µ2	PROPN
ejpam-5910	404	21	=	=	PROPN
ejpam-5910	404	22	10	10	NUM
ejpam-5910	404	23	represent	represent	VERB
ejpam-5910	404	24	the	the	DET
ejpam-5910	404	25	respective	respective	ADJ
ejpam-5910	404	26	service	service	NOUN
ejpam-5910	404	27	rates	rate	NOUN
ejpam-5910	404	28	.	.	PUNCT
ejpam-5910	405	1	•	•	NUM
ejpam-5910	405	2	φ	φ	PROPN
ejpam-5910	405	3	(	(	PUNCT
ejpam-5910	405	4	breakdown	breakdown	ADJ
ejpam-5910	405	5	rate)=	rate)=	NOUN
ejpam-5910	405	6	0.1	0.1	NUM
ejpam-5910	405	7	•	•	NOUN
ejpam-5910	405	8	cost	cost	NOUN
ejpam-5910	405	9	of	of	ADP
ejpam-5910	405	10	startup	startup	NOUN
ejpam-5910	405	11	:	:	PUNCT
ejpam-5910	405	12	rs	rs	PROPN
ejpam-5910	405	13	=	=	SYM
ejpam-5910	405	14	4.00	4.00	NUM
ejpam-5910	405	15	.	.	PUNCT
ejpam-5910	405	16	per	per	ADP
ejpam-5910	405	17	-	-	PUNCT
ejpam-5910	405	18	customer	customer	NOUN
ejpam-5910	405	19	holding	hold	VERB
ejpam-5910	405	20	costs	cost	NOUN
ejpam-5910	405	21	:	:	PUNCT
ejpam-5910	405	22	rs	rs	ADP
ejpam-5910	405	23	=	=	SYM
ejpam-5910	405	24	0.50	0.50	NUM
ejpam-5910	405	25	.	.	PUNCT
ejpam-5910	406	1	operating	operating	NOUN
ejpam-5910	406	2	costs	cost	NOUN
ejpam-5910	406	3	per	per	ADP
ejpam-5910	406	4	unit	unit	NOUN
ejpam-5910	406	5	of	of	ADP
ejpam-5910	406	6	time	time	NOUN
ejpam-5910	406	7	:	:	PUNCT
ejpam-5910	406	8	rs	rs	ADP
ejpam-5910	406	9	=	=	PUNCT
ejpam-5910	406	10	5.00	5.00	NUM
ejpam-5910	406	11	.	.	PUNCT
ejpam-5910	407	1	reward	reward	VERB
ejpam-5910	407	2	cost	cost	NOUN
ejpam-5910	407	3	per	per	ADP
ejpam-5910	407	4	unit	unit	NOUN
ejpam-5910	407	5	of	of	ADP
ejpam-5910	407	6	time	time	NOUN
ejpam-5910	407	7	:	:	PUNCT
ejpam-5910	407	8	rs	rs	NOUN
ejpam-5910	407	9	=	=	SYM
ejpam-5910	407	10	2.00	2.00	NUM
ejpam-5910	407	11	.	.	PUNCT
ejpam-5910	408	1	per	per	ADP
ejpam-5910	408	2	unit	unit	NOUN
ejpam-5910	408	3	hour	hour	NOUN
ejpam-5910	408	4	,	,	PUNCT
ejpam-5910	408	5	the	the	DET
ejpam-5910	408	6	cost	cost	NOUN
ejpam-5910	408	7	of	of	ADP
ejpam-5910	408	8	renovation	renovation	NOUN
ejpam-5910	408	9	is	be	AUX
ejpam-5910	408	10	rs	rs	NOUN
ejpam-5910	408	11	=	=	PUNCT
ejpam-5910	408	12	0.4	0.4	NUM
ejpam-5910	408	13	.	.	PUNCT
ejpam-5910	409	1	applying	apply	VERB
ejpam-5910	409	2	numerical	numerical	ADJ
ejpam-5910	409	3	methods	method	NOUN
ejpam-5910	409	4	,	,	PUNCT
ejpam-5910	409	5	the	the	DET
ejpam-5910	409	6	queue	queue	NOUN
ejpam-5910	409	7	size	size	NOUN
ejpam-5910	409	8	distribution	distribution	NOUN
ejpam-5910	409	9	’s	’s	PART
ejpam-5910	409	10	unknown	unknown	ADJ
ejpam-5910	409	11	probabilities	probability	NOUN
ejpam-5910	409	12	are	be	AUX
ejpam-5910	409	13	calculated	calculate	VERB
ejpam-5910	409	14	.	.	PUNCT
ejpam-5910	410	1	with	with	ADP
ejpam-5910	410	2	matlab	matlab	PROPN
ejpam-5910	410	3	,	,	PUNCT
ejpam-5910	410	4	simultaneous	simultaneous	ADJ
ejpam-5910	410	5	equations	equation	NOUN
ejpam-5910	410	6	are	be	AUX
ejpam-5910	410	7	solved	solve	VERB
ejpam-5910	410	8	and	and	CCONJ
ejpam-5910	410	9	the	the	DET
ejpam-5910	410	10	function	function	NOUN
ejpam-5910	410	11	’s	’s	PART
ejpam-5910	410	12	zeros	zero	NOUN
ejpam-5910	410	13	are	be	AUX
ejpam-5910	410	14	determined	determine	VERB
ejpam-5910	410	15	.	.	PUNCT
ejpam-5910	411	1	for	for	ADP
ejpam-5910	411	2	different	different	ADJ
ejpam-5910	411	3	arrival	arrival	NOUN
ejpam-5910	411	4	rates	rate	NOUN
ejpam-5910	411	5	and	and	CCONJ
ejpam-5910	411	6	service	service	NOUN
ejpam-5910	411	7	rates	rate	NOUN
ejpam-5910	411	8	,	,	PUNCT
ejpam-5910	411	9	the	the	DET
ejpam-5910	411	10	expected	expect	VERB
ejpam-5910	411	11	length	length	NOUN
ejpam-5910	411	12	of	of	ADP
ejpam-5910	411	13	the	the	DET
ejpam-5910	411	14	line	line	NOUN
ejpam-5910	411	15	,	,	PUNCT
ejpam-5910	411	16	expected	expect	VERB
ejpam-5910	411	17	waiting	waiting	NOUN
ejpam-5910	411	18	time	time	NOUN
ejpam-5910	411	19	,	,	PUNCT
ejpam-5910	411	20	expected	expect	VERB
ejpam-5910	411	21	busy	busy	ADJ
ejpam-5910	411	22	period	period	NOUN
ejpam-5910	411	23	,	,	PUNCT
ejpam-5910	411	24	expected	expect	VERB
ejpam-5910	411	25	idle	idle	ADJ
ejpam-5910	411	26	period	period	NOUN
ejpam-5910	411	27	and	and	CCONJ
ejpam-5910	411	28	overall	overall	ADJ
ejpam-5910	411	29	average	average	ADJ
ejpam-5910	411	30	cost	cost	NOUN
ejpam-5910	411	31	are	be	AUX
ejpam-5910	411	32	computed	compute	VERB
ejpam-5910	411	33	and	and	CCONJ
ejpam-5910	411	34	presented	present	VERB
ejpam-5910	411	35	.	.	PUNCT
ejpam-5910	412	1	table	table	NOUN
ejpam-5910	412	2	1	1	NUM
ejpam-5910	412	3	:	:	PUNCT
ejpam-5910	412	4	arrival	arrival	NOUN
ejpam-5910	412	5	rate	rate	NOUN
ejpam-5910	412	6	versus	versus	ADP
ejpam-5910	412	7	performance	performance	NOUN
ejpam-5910	412	8	metrics	metric	NOUN
ejpam-5910	412	9	.	.	PUNCT
ejpam-5910	413	1	µ1	µ1	PROPN
ejpam-5910	413	2	=	=	SYM
ejpam-5910	413	3	15	15	NUM
ejpam-5910	413	4	,	,	PUNCT
ejpam-5910	413	5	µ2	µ2	PROPN
ejpam-5910	413	6	=	=	PROPN
ejpam-5910	413	7	10	10	NUM
ejpam-5910	413	8	,	,	PUNCT
ejpam-5910	413	9	φ	φ	NOUN
ejpam-5910	413	10	=	=	SYM
ejpam-5910	413	11	0.1	0.1	NUM
ejpam-5910	413	12	,	,	PUNCT
ejpam-5910	413	13	a	a	DET
ejpam-5910	413	14	=	=	SYM
ejpam-5910	413	15	5	5	NUM
ejpam-5910	413	16	,	,	PUNCT
ejpam-5910	413	17	b	b	NOUN
ejpam-5910	413	18	=	=	SYM
ejpam-5910	413	19	8	8	NUM
ejpam-5910	413	20	,	,	PUNCT
ejpam-5910	413	21	α	α	NOUN
ejpam-5910	413	22	=	=	SYM
ejpam-5910	413	23	5	5	NUM
ejpam-5910	413	24	,	,	PUNCT
ejpam-5910	413	25	β	β	X
ejpam-5910	413	26	=	=	SYM
ejpam-5910	413	27	5	5	NUM
ejpam-5910	413	28	λ	λ	PROPN
ejpam-5910	413	29	ρ	ρ	NOUN
ejpam-5910	413	30	e(q	e(q	PROPN
ejpam-5910	413	31	)	)	PUNCT
ejpam-5910	413	32	e(w	e(w	PROPN
ejpam-5910	413	33	)	)	PUNCT
ejpam-5910	413	34	e(b	e(b	VERB
ejpam-5910	413	35	)	)	PUNCT
ejpam-5910	413	36	e(i	e(i	PROPN
ejpam-5910	413	37	)	)	PUNCT
ejpam-5910	413	38	tac	tac	NOUN
ejpam-5910	413	39	11.0	11.0	NUM
ejpam-5910	413	40	0.421667	0.421667	NUM
ejpam-5910	414	1	6.3713	6.3713	NUM
ejpam-5910	414	2	0.2896	0.2896	NUM
ejpam-5910	414	3	0.3949	0.3949	NUM
ejpam-5910	414	4	0.4614	0.4614	NUM
ejpam-5910	414	5	8.8966	8.8966	NUM
ejpam-5910	414	6	12.0	12.0	NUM
ejpam-5910	414	7	0.460000	0.460000	NUM
ejpam-5910	414	8	7.1611	7.1611	NUM
ejpam-5910	414	9	0.2984	0.2984	NUM
ejpam-5910	414	10	0.4126	0.4126	NUM
ejpam-5910	414	11	0.4188	0.4188	NUM
ejpam-5910	414	12	9.6939	9.6939	NUM
ejpam-5910	414	13	13.0	13.0	NUM
ejpam-5910	414	14	0.498333	0.498333	NUM
ejpam-5910	414	15	8.0541	8.0541	NUM
ejpam-5910	414	16	0.3098	0.3098	NUM
ejpam-5910	414	17	0.4359	0.4359	NUM
ejpam-5910	414	18	0.3824	0.3824	NUM
ejpam-5910	414	19	10.4821	10.4821	NUM
ejpam-5910	414	20	14.0	14.0	NUM
ejpam-5910	414	21	0.536667	0.536667	NUM
ejpam-5910	414	22	9.0923	9.0923	NUM
ejpam-5910	414	23	0.3247	0.3247	NUM
ejpam-5910	414	24	0.4646	0.4646	NUM
ejpam-5910	414	25	0.3521	0.3521	NUM
ejpam-5910	414	26	11.2743	11.2743	NUM
ejpam-5910	414	27	15.0	15.0	NUM
ejpam-5910	414	28	0.575000	0.575000	NUM
ejpam-5910	414	29	10.2994	10.2994	NUM
ejpam-5910	414	30	0.3433	0.3433	NUM
ejpam-5910	414	31	0.5006	0.5006	NUM
ejpam-5910	414	32	0.3266	0.3266	NUM
ejpam-5910	414	33	12.0804	12.0804	NUM
ejpam-5910	414	34	16.0	16.0	NUM
ejpam-5910	414	35	0.613333	0.613333	NUM
ejpam-5910	414	36	11.7297	11.7297	NUM
ejpam-5910	415	1	0.3666	0.3666	NUM
ejpam-5910	415	2	0.5455	0.5455	NUM
ejpam-5910	415	3	0.3049	0.3049	NUM
ejpam-5910	415	4	12.9272	12.9272	NUM
ejpam-5910	415	5	17.0	17.0	NUM
ejpam-5910	415	6	0.651667	0.651667	NUM
ejpam-5910	415	7	13.4571	13.4571	NUM
ejpam-5910	415	8	0.3958	0.3958	NUM
ejpam-5910	415	9	0.6018	0.6018	NUM
ejpam-5910	415	10	0.2866	0.2866	NUM
ejpam-5910	415	11	13.8533	13.8533	NUM
ejpam-5910	415	12	18.0	18.0	NUM
ejpam-5910	415	13	0.690000	0.690000	NUM
ejpam-5910	415	14	15.5923	15.5923	NUM
ejpam-5910	415	15	0.4331	0.4331	NUM
ejpam-5910	415	16	0.6735	0.6735	NUM
ejpam-5910	415	17	0.2709	0.2709	NUM
ejpam-5910	415	18	14.9167	14.9167	NUM
ejpam-5910	415	19	19.0	19.0	NUM
ejpam-5910	415	20	0.728333	0.728333	NUM
ejpam-5910	415	21	18.3100	18.3100	NUM
ejpam-5910	416	1	0.4818	0.4818	NUM
ejpam-5910	416	2	0.7667	0.7667	NUM
ejpam-5910	416	3	0.2574	0.2574	NUM
ejpam-5910	416	4	16.2078	16.2078	NUM
ejpam-5910	416	5	20.0	20.0	NUM
ejpam-5910	416	6	0.766667	0.766667	NUM
ejpam-5910	416	7	21.8943	21.8943	NUM
ejpam-5910	416	8	0.5474	0.5474	NUM
ejpam-5910	416	9	0.8919	0.8919	NUM
ejpam-5910	416	10	0.2457	0.2457	NUM
ejpam-5910	416	11	17.8716	17.8716	NUM
ejpam-5910	416	12	21.0	21.0	NUM
ejpam-5910	416	13	0.805000	0.805000	NUM
ejpam-5910	416	14	26.8578	26.8578	NUM
ejpam-5910	417	1	0.6395	0.6395	NUM
ejpam-5910	417	2	0.9718	0.9718	NUM
ejpam-5910	417	3	0.2356	0.2356	NUM
ejpam-5910	417	4	20.1676	20.1676	NUM
ejpam-5910	417	5	karpagam	karpagam	PROPN
ejpam-5910	417	6	s	s	PROPN
ejpam-5910	417	7	,	,	PUNCT
ejpam-5910	417	8	aarthy	aarthy	ADJ
ejpam-5910	417	9	n	n	CCONJ
ejpam-5910	417	10	,	,	PUNCT
ejpam-5910	417	11	g.	g.	PROPN
ejpam-5910	417	12	k.	k.	PROPN
ejpam-5910	417	13	gupta	gupta	PROPN
ejpam-5910	417	14	/	/	SYM
ejpam-5910	417	15	eur	eur	PROPN
ejpam-5910	417	16	.	.	PUNCT
ejpam-5910	418	1	j.	j.	PROPN
ejpam-5910	418	2	pure	pure	PROPN
ejpam-5910	418	3	appl	appl	PROPN
ejpam-5910	418	4	.	.	PROPN
ejpam-5910	418	5	math	math	PROPN
ejpam-5910	418	6	,	,	PUNCT
ejpam-5910	418	7	18	18	NUM
ejpam-5910	418	8	(	(	PUNCT
ejpam-5910	418	9	3	3	NUM
ejpam-5910	418	10	)	)	PUNCT
ejpam-5910	418	11	(	(	PUNCT
ejpam-5910	418	12	2025	2025	NUM
ejpam-5910	418	13	)	)	PUNCT
ejpam-5910	418	14	,	,	PUNCT
ejpam-5910	418	15	5910	5910	NUM
ejpam-5910	418	16	20	20	NUM
ejpam-5910	418	17	of	of	ADP
ejpam-5910	418	18	28	28	NUM
ejpam-5910	418	19	figure	figure	NOUN
ejpam-5910	418	20	2	2	NUM
ejpam-5910	418	21	:	:	PUNCT
ejpam-5910	418	22	arrival	arrival	NOUN
ejpam-5910	418	23	rate	rate	NOUN
ejpam-5910	418	24	vs	vs	ADP
ejpam-5910	418	25	e(q	e(q	PROPN
ejpam-5910	418	26	)	)	PUNCT
ejpam-5910	418	27	figure	figure	NOUN
ejpam-5910	418	28	3	3	NUM
ejpam-5910	418	29	:	:	PUNCT
ejpam-5910	418	30	arrival	arrival	NOUN
ejpam-5910	418	31	rate	rate	NOUN
ejpam-5910	418	32	vs	vs	ADP
ejpam-5910	418	33	e(w	e(w	PROPN
ejpam-5910	418	34	)	)	PUNCT
ejpam-5910	418	35	as	as	ADP
ejpam-5910	418	36	the	the	DET
ejpam-5910	418	37	arrival	arrival	NOUN
ejpam-5910	418	38	rate	rate	NOUN
ejpam-5910	418	39	rises	rise	NOUN
ejpam-5910	418	40	,	,	PUNCT
ejpam-5910	418	41	this	this	DET
ejpam-5910	418	42	system	system	NOUN
ejpam-5910	418	43	becomes	become	VERB
ejpam-5910	418	44	busier	busy	ADJ
ejpam-5910	418	45	,	,	PUNCT
ejpam-5910	418	46	leading	lead	VERB
ejpam-5910	418	47	to	to	ADP
ejpam-5910	418	48	longer	long	ADJ
ejpam-5910	418	49	queues	queue	NOUN
ejpam-5910	418	50	,	,	PUNCT
ejpam-5910	418	51	extended	extend	VERB
ejpam-5910	418	52	waiting	waiting	NOUN
ejpam-5910	418	53	times	time	NOUN
ejpam-5910	418	54	,	,	PUNCT
ejpam-5910	418	55	and	and	CCONJ
ejpam-5910	418	56	more	more	ADV
ejpam-5910	418	57	prolonged	prolonged	ADJ
ejpam-5910	418	58	busy	busy	ADJ
ejpam-5910	418	59	periods	period	NOUN
ejpam-5910	418	60	.	.	PUNCT
ejpam-5910	419	1	consequently	consequently	ADV
ejpam-5910	419	2	,	,	PUNCT
ejpam-5910	419	3	the	the	DET
ejpam-5910	419	4	idle	idle	ADJ
ejpam-5910	419	5	period	period	NOUN
ejpam-5910	419	6	of	of	ADP
ejpam-5910	419	7	the	the	DET
ejpam-5910	419	8	system	system	NOUN
ejpam-5910	419	9	decreases	decrease	VERB
ejpam-5910	419	10	.	.	PUNCT
ejpam-5910	420	1	table	table	NOUN
ejpam-5910	420	2	1	1	NUM
ejpam-5910	420	3	illustrates	illustrate	VERB
ejpam-5910	420	4	that	that	SCONJ
ejpam-5910	420	5	the	the	DET
ejpam-5910	420	6	average	average	ADJ
ejpam-5910	420	7	busy	busy	ADJ
ejpam-5910	420	8	period	period	NOUN
ejpam-5910	420	9	,	,	PUNCT
ejpam-5910	420	10	queue	queue	NOUN
ejpam-5910	420	11	duration	duration	NOUN
ejpam-5910	420	12	,	,	PUNCT
ejpam-5910	420	13	and	and	CCONJ
ejpam-5910	420	14	waiting	waiting	NOUN
ejpam-5910	420	15	times	time	NOUN
ejpam-5910	420	16	all	all	DET
ejpam-5910	420	17	rise	rise	NOUN
ejpam-5910	420	18	,	,	PUNCT
ejpam-5910	420	19	while	while	SCONJ
ejpam-5910	420	20	the	the	DET
ejpam-5910	420	21	average	average	ADJ
ejpam-5910	420	22	idle	idle	ADJ
ejpam-5910	420	23	period	period	NOUN
ejpam-5910	420	24	declines	decline	VERB
ejpam-5910	420	25	as	as	ADP
ejpam-5910	420	26	the	the	DET
ejpam-5910	420	27	arrival	arrival	NOUN
ejpam-5910	420	28	rate	rate	NOUN
ejpam-5910	420	29	increases	increase	NOUN
ejpam-5910	420	30	,	,	PUNCT
ejpam-5910	420	31	maintaining	maintain	VERB
ejpam-5910	420	32	fixed	fix	VERB
ejpam-5910	420	33	bulk	bulk	ADJ
ejpam-5910	420	34	service	service	NOUN
ejpam-5910	420	35	and	and	CCONJ
ejpam-5910	420	36	low	low	ADJ
ejpam-5910	420	37	-	-	PUNCT
ejpam-5910	420	38	batch	batch	NOUN
ejpam-5910	420	39	service	service	NOUN
ejpam-5910	420	40	rates	rate	NOUN
ejpam-5910	420	41	.	.	PUNCT
ejpam-5910	421	1	figures	figure	NOUN
ejpam-5910	421	2	2	2	NUM
ejpam-5910	421	3	and	and	CCONJ
ejpam-5910	421	4	3	3	NUM
ejpam-5910	421	5	clearly	clearly	ADV
ejpam-5910	421	6	show	show	VERB
ejpam-5910	421	7	that	that	SCONJ
ejpam-5910	421	8	as	as	ADP
ejpam-5910	421	9	the	the	DET
ejpam-5910	421	10	arrival	arrival	NOUN
ejpam-5910	421	11	rate	rate	NOUN
ejpam-5910	421	12	increases	increase	NOUN
ejpam-5910	421	13	,	,	PUNCT
ejpam-5910	421	14	both	both	CCONJ
ejpam-5910	421	15	the	the	DET
ejpam-5910	421	16	average	average	ADJ
ejpam-5910	421	17	queue	queue	NOUN
ejpam-5910	421	18	length	length	NOUN
ejpam-5910	421	19	and	and	CCONJ
ejpam-5910	421	20	waiting	waiting	NOUN
ejpam-5910	421	21	time	time	NOUN
ejpam-5910	421	22	also	also	ADV
ejpam-5910	421	23	increase	increase	VERB
ejpam-5910	421	24	.	.	PUNCT
ejpam-5910	422	1	table	table	NOUN
ejpam-5910	422	2	2	2	NUM
ejpam-5910	422	3	:	:	PUNCT
ejpam-5910	422	4	service	service	NOUN
ejpam-5910	422	5	rate	rate	NOUN
ejpam-5910	422	6	versus	versus	ADP
ejpam-5910	422	7	performance	performance	NOUN
ejpam-5910	422	8	metrics	metric	NOUN
ejpam-5910	422	9	.	.	PUNCT
ejpam-5910	423	1	λ	λ	X
ejpam-5910	423	2	=	=	NOUN
ejpam-5910	423	3	20	20	NUM
ejpam-5910	423	4	,	,	PUNCT
ejpam-5910	423	5	µ2	µ2	PROPN
ejpam-5910	423	6	=	=	SYM
ejpam-5910	423	7	0	0	PROPN
ejpam-5910	423	8	,	,	PUNCT
ejpam-5910	423	9	φ	φ	NOUN
ejpam-5910	423	10	=	=	SYM
ejpam-5910	423	11	0.1	0.1	NUM
ejpam-5910	423	12	,	,	PUNCT
ejpam-5910	423	13	a	a	DET
ejpam-5910	423	14	=	=	SYM
ejpam-5910	423	15	5	5	NUM
ejpam-5910	423	16	,	,	PUNCT
ejpam-5910	423	17	b	b	NOUN
ejpam-5910	423	18	=	=	SYM
ejpam-5910	423	19	8	8	NUM
ejpam-5910	423	20	,	,	PUNCT
ejpam-5910	423	21	α	α	NOUN
ejpam-5910	423	22	=	=	SYM
ejpam-5910	423	23	5	5	NUM
ejpam-5910	423	24	,	,	PUNCT
ejpam-5910	423	25	β	β	X
ejpam-5910	423	26	=	=	SYM
ejpam-5910	423	27	5	5	NUM
ejpam-5910	423	28	µ1	µ1	NOUN
ejpam-5910	423	29	ρ	ρ	NOUN
ejpam-5910	423	30	e(q	e(q	PROPN
ejpam-5910	423	31	)	)	PUNCT
ejpam-5910	423	32	e(w	e(w	PROPN
ejpam-5910	423	33	)	)	PUNCT
ejpam-5910	423	34	e(b	e(b	VERB
ejpam-5910	423	35	)	)	PUNCT
ejpam-5910	423	36	e(i	e(i	PROPN
ejpam-5910	423	37	)	)	PUNCT
ejpam-5910	423	38	tac	tac	NOUN
ejpam-5910	423	39	11.5	11.5	NUM
ejpam-5910	423	40	0.969565	0.969565	NUM
ejpam-5910	424	1	175.5064	175.5064	NUM
ejpam-5910	424	2	4.3877	4.3877	NUM
ejpam-5910	424	3	2.2346	2.2346	NUM
ejpam-5910	424	4	0.2085	0.2085	NUM
ejpam-5910	424	5	94.0709	94.0709	NUM
ejpam-5910	424	6	12.0	12.0	NUM
ejpam-5910	424	7	0.933333	0.933333	NUM
ejpam-5910	424	8	79.6504	79.6504	NUM
ejpam-5910	424	9	1.9913	1.9913	NUM
ejpam-5910	424	10	0.9826	0.9826	NUM
ejpam-5910	424	11	0.2196	0.2196	NUM
ejpam-5910	424	12	47.4605	47.4605	NUM
ejpam-5910	424	13	12.5	12.5	NUM
ejpam-5910	424	14	0.900000	0.900000	NUM
ejpam-5910	424	15	52.9566	52.9566	NUM
ejpam-5910	424	16	1.3239	1.3239	NUM
ejpam-5910	424	17	0.6317	0.6317	NUM
ejpam-5910	424	18	0.2309	0.2309	NUM
ejpam-5910	424	19	35.0891	35.0891	NUM
ejpam-5910	424	20	13.0	13.0	NUM
ejpam-5910	424	21	0.869231	0.869231	NUM
ejpam-5910	424	22	40.4427	40.4427	NUM
ejpam-5910	424	23	1.0111	1.0111	NUM
ejpam-5910	424	24	0.4670	0.4670	NUM
ejpam-5910	424	25	0.2424	0.2424	NUM
ejpam-5910	424	26	29.5339	29.5339	NUM
ejpam-5910	424	27	13.5	13.5	NUM
ejpam-5910	424	28	0.840741	0.840741	NUM
ejpam-5910	424	29	33.2469	33.2469	NUM
ejpam-5910	424	30	0.8312	0.8312	NUM
ejpam-5910	424	31	0.3710	0.3710	NUM
ejpam-5910	424	32	0.2541	0.2541	NUM
ejpam-5910	424	33	26.4260	26.4260	NUM
ejpam-5910	424	34	14.0	14.0	NUM
ejpam-5910	424	35	0.814286	0.814286	NUM
ejpam-5910	424	36	28.5686	28.5686	NUM
ejpam-5910	424	37	0.7142	0.7142	NUM
ejpam-5910	424	38	0.3084	0.3084	NUM
ejpam-5910	424	39	0.2660	0.2660	NUM
ejpam-5910	424	40	24.4080	24.4080	NUM
ejpam-5910	424	41	14.5	14.5	NUM
ejpam-5910	424	42	0.789655	0.789655	NUM
ejpam-5910	424	43	25.3236	25.3236	NUM
ejpam-5910	424	44	0.6331	0.6331	NUM
ejpam-5910	424	45	0.2640	0.2640	NUM
ejpam-5910	424	46	0.2782	0.2782	NUM
ejpam-5910	424	47	22.9767	22.9767	NUM
ejpam-5910	424	48	15.0	15.0	NUM
ejpam-5910	424	49	0.766667	0.766667	NUM
ejpam-5910	424	50	22.9223	22.9223	NUM
ejpam-5910	424	51	0.5731	0.5731	NUM
ejpam-5910	424	52	0.2312	0.2312	NUM
ejpam-5910	424	53	0.2905	0.2905	NUM
ejpam-5910	424	54	21.8636	21.8636	NUM
ejpam-5910	424	55	15.5	15.5	NUM
ejpam-5910	424	56	0.745161	0.745161	NUM
ejpam-5910	424	57	21.0880	21.0880	NUM
ejpam-5910	424	58	0.5272	0.5272	NUM
ejpam-5910	424	59	0.2058	0.2058	NUM
ejpam-5910	424	60	0.3031	0.3031	NUM
ejpam-5910	424	61	20.9545	20.9545	NUM
ejpam-5910	424	62	16.0	16.0	NUM
ejpam-5910	424	63	0.725000	0.725000	NUM
ejpam-5910	424	64	19.6460	19.6460	NUM
ejpam-5910	424	65	0.4912	0.4912	NUM
ejpam-5910	424	66	0.1857	0.1857	NUM
ejpam-5910	424	67	0.3159	0.3159	NUM
ejpam-5910	424	68	20.1799	20.1799	NUM
ejpam-5910	424	69	16.5	16.5	NUM
ejpam-5910	424	70	0.706061	0.706061	NUM
ejpam-5910	424	71	18.4864	18.4864	NUM
ejpam-5910	424	72	0.4622	0.4622	NUM
ejpam-5910	424	73	0.1692	0.1692	NUM
ejpam-5910	424	74	0.3289	0.3289	NUM
ejpam-5910	424	75	19.4988	19.4988	NUM
ejpam-5910	424	76	17.0	17.0	NUM
ejpam-5910	424	77	0.688235	0.688235	NUM
ejpam-5910	424	78	17.5350	17.5350	NUM
ejpam-5910	424	79	0.4384	0.4384	NUM
ejpam-5910	424	80	0.1556	0.1556	NUM
ejpam-5910	424	81	0.3422	0.3422	NUM
ejpam-5910	424	82	18.8855	18.8855	NUM
ejpam-5910	424	83	17.5	17.5	NUM
ejpam-5910	424	84	0.671429	0.671429	NUM
ejpam-5910	424	85	16.7377	16.7377	NUM
ejpam-5910	424	86	0.4184	0.4184	NUM
ejpam-5910	424	87	0.1441	0.1441	NUM
ejpam-5910	424	88	0.3557	0.3557	NUM
ejpam-5910	424	89	18.3222	18.3222	NUM
ejpam-5910	424	90	18.0	18.0	NUM
ejpam-5910	424	91	0.655556	0.655556	NUM
ejpam-5910	424	92	16.0593	16.0593	NUM
ejpam-5910	424	93	0.4015	0.4015	NUM
ejpam-5910	425	1	0.1343	0.1343	NUM
ejpam-5910	425	2	0.3693	0.3693	NUM
ejpam-5910	425	3	17.7991	17.7991	NUM
ejpam-5910	425	4	karpagam	karpagam	PROPN
ejpam-5910	425	5	s	s	PROPN
ejpam-5910	425	6	,	,	PUNCT
ejpam-5910	425	7	aarthy	aarthy	ADJ
ejpam-5910	425	8	n	n	CCONJ
ejpam-5910	425	9	,	,	PUNCT
ejpam-5910	426	1	g.	g.	PROPN
ejpam-5910	426	2	k.	k.	PROPN
ejpam-5910	426	3	gupta	gupta	PROPN
ejpam-5910	426	4	/	/	SYM
ejpam-5910	426	5	eur	eur	PROPN
ejpam-5910	426	6	.	.	PUNCT
ejpam-5910	427	1	j.	j.	PROPN
ejpam-5910	427	2	pure	pure	PROPN
ejpam-5910	427	3	appl	appl	PROPN
ejpam-5910	427	4	.	.	PROPN
ejpam-5910	427	5	math	math	PROPN
ejpam-5910	427	6	,	,	PUNCT
ejpam-5910	427	7	18	18	NUM
ejpam-5910	427	8	(	(	PUNCT
ejpam-5910	427	9	3	3	NUM
ejpam-5910	427	10	)	)	PUNCT
ejpam-5910	427	11	(	(	PUNCT
ejpam-5910	427	12	2025	2025	NUM
ejpam-5910	427	13	)	)	PUNCT
ejpam-5910	427	14	,	,	PUNCT
ejpam-5910	427	15	5910	5910	NUM
ejpam-5910	427	16	21	21	NUM
ejpam-5910	427	17	of	of	ADP
ejpam-5910	427	18	28	28	NUM
ejpam-5910	427	19	figure	figure	NOUN
ejpam-5910	427	20	4	4	NUM
ejpam-5910	427	21	:	:	PUNCT
ejpam-5910	427	22	service	service	NOUN
ejpam-5910	427	23	rate	rate	NOUN
ejpam-5910	427	24	vs	vs	ADP
ejpam-5910	427	25	e(q	e(q	PROPN
ejpam-5910	427	26	)	)	PUNCT
ejpam-5910	427	27	figure	figure	NOUN
ejpam-5910	427	28	5	5	NUM
ejpam-5910	427	29	:	:	PUNCT
ejpam-5910	427	30	service	service	NOUN
ejpam-5910	427	31	rate	rate	NOUN
ejpam-5910	427	32	vs	vs	ADP
ejpam-5910	427	33	e(w	e(w	PROPN
ejpam-5910	427	34	)	)	PUNCT
ejpam-5910	427	35	the	the	DET
ejpam-5910	427	36	average	average	ADJ
ejpam-5910	427	37	busy	busy	ADJ
ejpam-5910	427	38	period	period	NOUN
ejpam-5910	427	39	,	,	PUNCT
ejpam-5910	427	40	waiting	wait	VERB
ejpam-5910	427	41	time	time	NOUN
ejpam-5910	427	42	,	,	PUNCT
ejpam-5910	427	43	and	and	CCONJ
ejpam-5910	427	44	length	length	NOUN
ejpam-5910	427	45	of	of	ADP
ejpam-5910	427	46	the	the	DET
ejpam-5910	427	47	queue	queue	NOUN
ejpam-5910	427	48	all	all	DET
ejpam-5910	427	49	decrease	decrease	NOUN
ejpam-5910	427	50	while	while	SCONJ
ejpam-5910	427	51	the	the	DET
ejpam-5910	427	52	average	average	ADJ
ejpam-5910	427	53	idle	idle	ADJ
ejpam-5910	427	54	period	period	NOUN
ejpam-5910	427	55	increases	increase	NOUN
ejpam-5910	427	56	when	when	SCONJ
ejpam-5910	427	57	the	the	DET
ejpam-5910	427	58	bulk	bulk	ADJ
ejpam-5910	427	59	service	service	NOUN
ejpam-5910	427	60	rate	rate	NOUN
ejpam-5910	427	61	rises	rise	NOUN
ejpam-5910	427	62	,	,	PUNCT
ejpam-5910	427	63	but	but	CCONJ
ejpam-5910	427	64	the	the	DET
ejpam-5910	427	65	low	low	ADJ
ejpam-5910	427	66	-	-	PUNCT
ejpam-5910	427	67	batch	batch	NOUN
ejpam-5910	427	68	service	service	NOUN
ejpam-5910	427	69	rate	rate	NOUN
ejpam-5910	427	70	stays	stay	VERB
ejpam-5910	427	71	at	at	ADP
ejpam-5910	427	72	zero	zero	NUM
ejpam-5910	427	73	,	,	PUNCT
ejpam-5910	427	74	as	as	SCONJ
ejpam-5910	427	75	table	table	NOUN
ejpam-5910	427	76	2	2	NUM
ejpam-5910	427	77	illustrates	illustrate	NOUN
ejpam-5910	427	78	.	.	PUNCT
ejpam-5910	428	1	figures	figure	NOUN
ejpam-5910	428	2	4	4	NUM
ejpam-5910	428	3	and	and	CCONJ
ejpam-5910	428	4	5	5	NUM
ejpam-5910	428	5	illustrate	illustrate	VERB
ejpam-5910	428	6	that	that	SCONJ
ejpam-5910	428	7	as	as	ADP
ejpam-5910	428	8	the	the	DET
ejpam-5910	428	9	service	service	NOUN
ejpam-5910	428	10	rate	rate	NOUN
ejpam-5910	428	11	increases	increase	NOUN
ejpam-5910	428	12	,	,	PUNCT
ejpam-5910	428	13	both	both	CCONJ
ejpam-5910	428	14	the	the	DET
ejpam-5910	428	15	average	average	ADJ
ejpam-5910	428	16	queue	queue	NOUN
ejpam-5910	428	17	length	length	NOUN
ejpam-5910	428	18	and	and	CCONJ
ejpam-5910	428	19	waiting	wait	VERB
ejpam-5910	428	20	time	time	NOUN
ejpam-5910	428	21	decrease	decrease	NOUN
ejpam-5910	428	22	.	.	PUNCT
ejpam-5910	429	1	table	table	NOUN
ejpam-5910	429	2	3	3	NUM
ejpam-5910	429	3	:	:	PUNCT
ejpam-5910	429	4	service	service	NOUN
ejpam-5910	429	5	rate	rate	NOUN
ejpam-5910	429	6	versus	versus	ADP
ejpam-5910	429	7	expected	expect	VERB
ejpam-5910	429	8	queue	queue	NOUN
ejpam-5910	429	9	length	length	NOUN
ejpam-5910	429	10	.	.	PUNCT
ejpam-5910	430	1	λ	λ	X
ejpam-5910	430	2	=	=	NOUN
ejpam-5910	430	3	20	20	NUM
ejpam-5910	430	4	,	,	PUNCT
ejpam-5910	430	5	φ	φ	NOUN
ejpam-5910	430	6	=	=	SYM
ejpam-5910	430	7	0.1	0.1	NUM
ejpam-5910	430	8	,	,	PUNCT
ejpam-5910	430	9	a	a	DET
ejpam-5910	430	10	=	=	SYM
ejpam-5910	430	11	5	5	NUM
ejpam-5910	430	12	,	,	PUNCT
ejpam-5910	430	13	b	b	NOUN
ejpam-5910	430	14	=	=	SYM
ejpam-5910	430	15	8	8	NUM
ejpam-5910	430	16	,	,	PUNCT
ejpam-5910	430	17	α	α	NOUN
ejpam-5910	430	18	=	=	SYM
ejpam-5910	430	19	5	5	NUM
ejpam-5910	430	20	,	,	PUNCT
ejpam-5910	430	21	β	β	X
ejpam-5910	430	22	=	=	SYM
ejpam-5910	430	23	5	5	NUM
ejpam-5910	430	24	µ1	µ1	NOUN
ejpam-5910	430	25	ρ	ρ	NOUN
ejpam-5910	430	26	µ2	µ2	NOUN
ejpam-5910	430	27	=	=	SYM
ejpam-5910	430	28	8	8	NUM
ejpam-5910	430	29	µ2	µ2	NOUN
ejpam-5910	430	30	=	=	NOUN
ejpam-5910	430	31	9	9	NUM
ejpam-5910	430	32	µ2	µ2	NOUN
ejpam-5910	430	33	=	=	PROPN
ejpam-5910	430	34	10	10	NUM
ejpam-5910	430	35	µ2	µ2	NOUN
ejpam-5910	430	36	=	=	NOUN
ejpam-5910	430	37	11	11	NUM
ejpam-5910	430	38	11.5	11.5	NUM
ejpam-5910	430	39	0.969565	0.969565	NUM
ejpam-5910	431	1	174.9996	174.9996	NUM
ejpam-5910	431	2	174.6549	174.6549	NUM
ejpam-5910	431	3	174.4410	174.4410	NUM
ejpam-5910	431	4	174.3050	174.3050	NUM
ejpam-5910	431	5	12.0	12.0	NUM
ejpam-5910	431	6	0.933333	0.933333	NUM
ejpam-5910	431	7	79.1337	79.1337	NUM
ejpam-5910	431	8	78.7948	78.7948	NUM
ejpam-5910	431	9	78.5815	78.5815	NUM
ejpam-5910	431	10	78.4497	78.4497	NUM
ejpam-5910	431	11	12.5	12.5	NUM
ejpam-5910	431	12	0.900000	0.900000	NUM
ejpam-5910	431	13	52.4373	52.4373	NUM
ejpam-5910	431	14	52.1010	52.1010	NUM
ejpam-5910	431	15	51.8897	51.8897	NUM
ejpam-5910	431	16	51.7619	51.7619	NUM
ejpam-5910	431	17	13.0	13.0	NUM
ejpam-5910	431	18	0.869231	0.869231	NUM
ejpam-5910	431	19	39.9400	39.9400	NUM
ejpam-5910	431	20	39.6041	39.6041	NUM
ejpam-5910	431	21	39.3941	39.3941	NUM
ejpam-5910	431	22	39.2658	39.2658	NUM
ejpam-5910	431	23	13.5	13.5	NUM
ejpam-5910	431	24	0.840741	0.840741	NUM
ejpam-5910	431	25	32.7405	32.7405	NUM
ejpam-5910	431	26	32.4073	32.4073	NUM
ejpam-5910	431	27	32.1993	32.1993	NUM
ejpam-5910	431	28	32.0722	32.0722	NUM
ejpam-5910	431	29	14.0	14.0	NUM
ejpam-5910	431	30	0.814286	0.814286	NUM
ejpam-5910	431	31	28.0711	28.0711	NUM
ejpam-5910	431	32	27.7400	27.7400	NUM
ejpam-5910	431	33	27.5323	27.5323	NUM
ejpam-5910	431	34	27.4062	27.4062	NUM
ejpam-5910	431	35	14.5	14.5	NUM
ejpam-5910	431	36	0.789655	0.789655	NUM
ejpam-5910	431	37	24.8219	24.8219	NUM
ejpam-5910	431	38	24.4932	24.4932	NUM
ejpam-5910	431	39	24.2873	24.2873	NUM
ejpam-5910	431	40	24.1624	24.1624	NUM
ejpam-5910	431	41	15.0	15.0	NUM
ejpam-5910	431	42	0.766667	0.766667	NUM
ejpam-5910	431	43	22.4263	22.4263	NUM
ejpam-5910	431	44	22.0992	22.0992	NUM
ejpam-5910	431	45	21.8943	21.8943	NUM
ejpam-5910	431	46	21.7695	21.7695	NUM
ejpam-5910	431	47	15.5	15.5	NUM
ejpam-5910	431	48	0.745161	0.745161	NUM
ejpam-5910	431	49	20.5967	20.5967	NUM
ejpam-5910	431	50	20.2708	20.2708	NUM
ejpam-5910	431	51	20.0672	20.0672	NUM
ejpam-5910	431	52	19.9431	19.9431	NUM
ejpam-5910	431	53	16.0	16.0	NUM
ejpam-5910	431	54	0.725000	0.725000	NUM
ejpam-5910	431	55	19.1582	19.1582	NUM
ejpam-5910	431	56	18.8343	18.8343	NUM
ejpam-5910	431	57	18.6315	18.6315	NUM
ejpam-5910	431	58	18.5083	18.5083	NUM
ejpam-5910	431	59	16.5	16.5	NUM
ejpam-5910	431	60	0.706061	0.706061	NUM
ejpam-5910	431	61	18.0012	18.0012	NUM
ejpam-5910	431	62	17.6786	17.6786	NUM
ejpam-5910	431	63	17.4771	17.4771	NUM
ejpam-5910	431	64	17.3542	17.3542	NUM
ejpam-5910	431	65	17.0	17.0	NUM
ejpam-5910	431	66	0.688235	0.688235	NUM
ejpam-5910	431	67	17.0520	17.0520	NUM
ejpam-5910	431	68	16.7309	16.7309	NUM
ejpam-5910	431	69	16.5304	16.5304	NUM
ejpam-5910	431	70	16.4081	16.4081	NUM
ejpam-5910	431	71	17.5	17.5	NUM
ejpam-5910	431	72	0.671429	0.671429	NUM
ejpam-5910	431	73	16.2562	16.2562	NUM
ejpam-5910	431	74	15.9367	15.9367	NUM
ejpam-5910	431	75	15.7372	15.7372	NUM
ejpam-5910	431	76	15.6156	15.6156	NUM
ejpam-5910	431	77	18.0	18.0	NUM
ejpam-5910	431	78	0.655556	0.655556	NUM
ejpam-5910	431	79	15.5856	15.5856	NUM
ejpam-5910	431	80	15.2819	15.2819	NUM
ejpam-5910	431	81	15.0681	15.0681	NUM
ejpam-5910	431	82	14.9470	14.9470	NUM
ejpam-5910	431	83	the	the	DET
ejpam-5910	431	84	comparison	comparison	NOUN
ejpam-5910	431	85	of	of	ADP
ejpam-5910	431	86	tables	table	NOUN
ejpam-5910	431	87	2	2	NUM
ejpam-5910	431	88	and	and	CCONJ
ejpam-5910	431	89	3	3	NUM
ejpam-5910	431	90	shows	show	VERB
ejpam-5910	431	91	that	that	SCONJ
ejpam-5910	431	92	,	,	PUNCT
ejpam-5910	431	93	whereas	whereas	SCONJ
ejpam-5910	431	94	a	a	DET
ejpam-5910	431	95	zero	zero	NUM
ejpam-5910	431	96	low	low	ADJ
ejpam-5910	431	97	-	-	PUNCT
ejpam-5910	431	98	batch	batch	NOUN
ejpam-5910	431	99	service	service	NOUN
ejpam-5910	431	100	rate	rate	NOUN
ejpam-5910	431	101	(	(	PUNCT
ejpam-5910	431	102	as	as	ADP
ejpam-5910	431	103	in	in	ADP
ejpam-5910	431	104	table	table	NOUN
ejpam-5910	431	105	2	2	NUM
ejpam-5910	431	106	)	)	PUNCT
ejpam-5910	431	107	results	result	NOUN
ejpam-5910	431	108	in	in	ADP
ejpam-5910	431	109	a	a	DET
ejpam-5910	431	110	higher	high	ADJ
ejpam-5910	431	111	expected	expect	VERB
ejpam-5910	431	112	queue	queue	NOUN
ejpam-5910	431	113	length	length	NOUN
ejpam-5910	431	114	,	,	PUNCT
ejpam-5910	431	115	providing	provide	VERB
ejpam-5910	431	116	an	an	DET
ejpam-5910	431	117	increasing	increase	VERB
ejpam-5910	431	118	rate	rate	NOUN
ejpam-5910	431	119	in	in	ADP
ejpam-5910	431	120	low	low	ADJ
ejpam-5910	431	121	-	-	PUNCT
ejpam-5910	431	122	batch	batch	NOUN
ejpam-5910	431	123	service	service	NOUN
ejpam-5910	431	124	causes	cause	VERB
ejpam-5910	431	125	the	the	DET
ejpam-5910	431	126	queue	queue	NOUN
ejpam-5910	431	127	length	length	NOUN
ejpam-5910	431	128	to	to	PART
ejpam-5910	431	129	gradually	gradually	ADV
ejpam-5910	431	130	reduce	reduce	VERB
ejpam-5910	431	131	(	(	PUNCT
ejpam-5910	431	132	as	as	ADP
ejpam-5910	431	133	in	in	ADP
ejpam-5910	431	134	table	table	NOUN
ejpam-5910	431	135	3	3	NUM
ejpam-5910	431	136	)	)	PUNCT
ejpam-5910	431	137	.	.	PUNCT
ejpam-5910	432	1	karpagam	karpagam	PROPN
ejpam-5910	432	2	s	s	PROPN
ejpam-5910	432	3	,	,	PUNCT
ejpam-5910	432	4	aarthy	aarthy	ADJ
ejpam-5910	432	5	n	n	CCONJ
ejpam-5910	432	6	,	,	PUNCT
ejpam-5910	432	7	g.	g.	PROPN
ejpam-5910	432	8	k.	k.	PROPN
ejpam-5910	432	9	gupta	gupta	PROPN
ejpam-5910	432	10	/	/	SYM
ejpam-5910	432	11	eur	eur	PROPN
ejpam-5910	432	12	.	.	PUNCT
ejpam-5910	433	1	j.	j.	PROPN
ejpam-5910	433	2	pure	pure	PROPN
ejpam-5910	433	3	appl	appl	PROPN
ejpam-5910	433	4	.	.	PROPN
ejpam-5910	433	5	math	math	PROPN
ejpam-5910	433	6	,	,	PUNCT
ejpam-5910	433	7	18	18	NUM
ejpam-5910	433	8	(	(	PUNCT
ejpam-5910	433	9	3	3	NUM
ejpam-5910	433	10	)	)	PUNCT
ejpam-5910	433	11	(	(	PUNCT
ejpam-5910	433	12	2025	2025	NUM
ejpam-5910	433	13	)	)	PUNCT
ejpam-5910	433	14	,	,	PUNCT
ejpam-5910	433	15	5910	5910	NUM
ejpam-5910	433	16	22	22	NUM
ejpam-5910	433	17	of	of	ADP
ejpam-5910	433	18	28	28	NUM
ejpam-5910	433	19	table	table	NOUN
ejpam-5910	433	20	4	4	NUM
ejpam-5910	433	21	:	:	PUNCT
ejpam-5910	433	22	service	service	NOUN
ejpam-5910	433	23	rate	rate	NOUN
ejpam-5910	433	24	versus	versus	ADP
ejpam-5910	433	25	expected	expect	VERB
ejpam-5910	433	26	waiting	waiting	NOUN
ejpam-5910	433	27	time	time	NOUN
ejpam-5910	433	28	.	.	PUNCT
ejpam-5910	434	1	λ	λ	X
ejpam-5910	434	2	=	=	NOUN
ejpam-5910	434	3	20	20	NUM
ejpam-5910	434	4	,	,	PUNCT
ejpam-5910	434	5	φ	φ	NOUN
ejpam-5910	434	6	=	=	SYM
ejpam-5910	434	7	0.1	0.1	NUM
ejpam-5910	434	8	,	,	PUNCT
ejpam-5910	434	9	a	a	DET
ejpam-5910	434	10	=	=	SYM
ejpam-5910	434	11	5	5	NUM
ejpam-5910	434	12	,	,	PUNCT
ejpam-5910	434	13	b	b	NOUN
ejpam-5910	434	14	=	=	SYM
ejpam-5910	434	15	8	8	NUM
ejpam-5910	434	16	,	,	PUNCT
ejpam-5910	434	17	α	α	NOUN
ejpam-5910	434	18	=	=	SYM
ejpam-5910	434	19	5	5	NUM
ejpam-5910	434	20	,	,	PUNCT
ejpam-5910	434	21	β	β	X
ejpam-5910	434	22	=	=	SYM
ejpam-5910	434	23	5	5	NUM
ejpam-5910	434	24	µ1	µ1	NOUN
ejpam-5910	434	25	ρ	ρ	NOUN
ejpam-5910	434	26	µ2	µ2	NOUN
ejpam-5910	434	27	=	=	SYM
ejpam-5910	434	28	8	8	NUM
ejpam-5910	434	29	µ2	µ2	NOUN
ejpam-5910	434	30	=	=	NOUN
ejpam-5910	434	31	9	9	NUM
ejpam-5910	434	32	µ2	µ2	NOUN
ejpam-5910	434	33	=	=	PROPN
ejpam-5910	434	34	10	10	NUM
ejpam-5910	434	35	µ2	µ2	NOUN
ejpam-5910	434	36	=	=	NOUN
ejpam-5910	434	37	11	11	NUM
ejpam-5910	434	38	11.5	11.5	NUM
ejpam-5910	434	39	0.969565	0.969565	NUM
ejpam-5910	434	40	4.3750	4.3750	NUM
ejpam-5910	434	41	4.3664	4.3664	NUM
ejpam-5910	434	42	4.3610	4.3610	NUM
ejpam-5910	434	43	4.3576	4.3576	NUM
ejpam-5910	434	44	12.0	12.0	NUM
ejpam-5910	434	45	0.933333	0.933333	NUM
ejpam-5910	434	46	1.9783	1.9783	NUM
ejpam-5910	434	47	1.9699	1.9699	NUM
ejpam-5910	434	48	1.9645	1.9645	NUM
ejpam-5910	434	49	1.9612	1.9612	NUM
ejpam-5910	434	50	12.5	12.5	NUM
ejpam-5910	434	51	0.900000	0.900000	NUM
ejpam-5910	434	52	1.3109	1.3109	NUM
ejpam-5910	434	53	1.3025	1.3025	NUM
ejpam-5910	434	54	1.2972	1.2972	NUM
ejpam-5910	434	55	1.2940	1.2940	NUM
ejpam-5910	434	56	13.0	13.0	NUM
ejpam-5910	434	57	0.869231	0.869231	NUM
ejpam-5910	434	58	0.9985	0.9985	NUM
ejpam-5910	434	59	0.9901	0.9901	NUM
ejpam-5910	434	60	0.9849	0.9849	NUM
ejpam-5910	434	61	0.9816	0.9816	NUM
ejpam-5910	434	62	13.5	13.5	NUM
ejpam-5910	434	63	0.840741	0.840741	NUM
ejpam-5910	434	64	0.8185	0.8185	NUM
ejpam-5910	434	65	0.8102	0.8102	NUM
ejpam-5910	434	66	0.8050	0.8050	NUM
ejpam-5910	434	67	0.8018	0.8018	NUM
ejpam-5910	434	68	14.0	14.0	NUM
ejpam-5910	434	69	0.814286	0.814286	NUM
ejpam-5910	434	70	0.7018	0.7018	NUM
ejpam-5910	434	71	0.6935	0.6935	NUM
ejpam-5910	434	72	0.6883	0.6883	NUM
ejpam-5910	434	73	0.6852	0.6852	NUM
ejpam-5910	434	74	14.5	14.5	NUM
ejpam-5910	434	75	0.789655	0.789655	NUM
ejpam-5910	434	76	0.6205	0.6205	NUM
ejpam-5910	434	77	0.6123	0.6123	NUM
ejpam-5910	434	78	0.6072	0.6072	NUM
ejpam-5910	434	79	0.6041	0.6041	NUM
ejpam-5910	434	80	15.0	15.0	NUM
ejpam-5910	434	81	0.766667	0.766667	NUM
ejpam-5910	434	82	0.5607	0.5607	NUM
ejpam-5910	434	83	0.5525	0.5525	NUM
ejpam-5910	434	84	0.5474	0.5474	NUM
ejpam-5910	434	85	0.5442	0.5442	NUM
ejpam-5910	434	86	15.5	15.5	NUM
ejpam-5910	434	87	0.745161	0.745161	NUM
ejpam-5910	434	88	0.5149	0.5149	NUM
ejpam-5910	435	1	0.5068	0.5068	NUM
ejpam-5910	435	2	0.5017	0.5017	NUM
ejpam-5910	435	3	0.4986	0.4986	NUM
ejpam-5910	435	4	16.0	16.0	NUM
ejpam-5910	435	5	0.725000	0.725000	NUM
ejpam-5910	435	6	0.4790	0.4790	NUM
ejpam-5910	435	7	0.4709	0.4709	NUM
ejpam-5910	435	8	0.4658	0.4658	NUM
ejpam-5910	435	9	0.4627	0.4627	NUM
ejpam-5910	435	10	16.5	16.5	NUM
ejpam-5910	435	11	0.706061	0.706061	NUM
ejpam-5910	435	12	0.4500	0.4500	NUM
ejpam-5910	435	13	0.4420	0.4420	NUM
ejpam-5910	435	14	0.4369	0.4369	NUM
ejpam-5910	435	15	0.4339	0.4339	NUM
ejpam-5910	435	16	17.0	17.0	NUM
ejpam-5910	435	17	0.688235	0.688235	NUM
ejpam-5910	435	18	0.4263	0.4263	NUM
ejpam-5910	435	19	0.4183	0.4183	NUM
ejpam-5910	435	20	0.4133	0.4133	NUM
ejpam-5910	435	21	0.4102	0.4102	NUM
ejpam-5910	435	22	17.5	17.5	NUM
ejpam-5910	435	23	0.671429	0.671429	NUM
ejpam-5910	435	24	0.4064	0.4064	NUM
ejpam-5910	435	25	0.3984	0.3984	NUM
ejpam-5910	435	26	0.3934	0.3934	NUM
ejpam-5910	435	27	0.3904	0.3904	NUM
ejpam-5910	435	28	18.0	18.0	NUM
ejpam-5910	435	29	0.655556	0.655556	NUM
ejpam-5910	435	30	0.3896	0.3896	NUM
ejpam-5910	435	31	0.3820	0.3820	NUM
ejpam-5910	435	32	0.3767	0.3767	NUM
ejpam-5910	435	33	0.3737	0.3737	NUM
ejpam-5910	435	34	one	one	NUM
ejpam-5910	435	35	can	can	AUX
ejpam-5910	435	36	compare	compare	VERB
ejpam-5910	435	37	the	the	DET
ejpam-5910	435	38	findings	finding	NOUN
ejpam-5910	435	39	of	of	ADP
ejpam-5910	435	40	tables	table	NOUN
ejpam-5910	435	41	2	2	NUM
ejpam-5910	435	42	and	and	CCONJ
ejpam-5910	435	43	4	4	NUM
ejpam-5910	435	44	to	to	PART
ejpam-5910	435	45	observe	observe	VERB
ejpam-5910	435	46	that	that	SCONJ
ejpam-5910	435	47	while	while	SCONJ
ejpam-5910	435	48	the	the	DET
ejpam-5910	435	49	expected	expect	VERB
ejpam-5910	435	50	waiting	waiting	NOUN
ejpam-5910	435	51	time	time	NOUN
ejpam-5910	435	52	is	be	AUX
ejpam-5910	435	53	increased	increase	VERB
ejpam-5910	435	54	at	at	ADP
ejpam-5910	435	55	zero	zero	NUM
ejpam-5910	435	56	low	low	ADJ
ejpam-5910	435	57	-	-	PUNCT
ejpam-5910	435	58	batch	batch	NOUN
ejpam-5910	435	59	service	service	NOUN
ejpam-5910	435	60	rate	rate	NOUN
ejpam-5910	435	61	(	(	PUNCT
ejpam-5910	435	62	table	table	NOUN
ejpam-5910	435	63	2	2	NUM
ejpam-5910	435	64	)	)	PUNCT
ejpam-5910	435	65	,	,	PUNCT
ejpam-5910	435	66	an	an	DET
ejpam-5910	435	67	increase	increase	NOUN
ejpam-5910	435	68	in	in	ADP
ejpam-5910	435	69	low	low	ADJ
ejpam-5910	435	70	-	-	PUNCT
ejpam-5910	435	71	batch	batch	NOUN
ejpam-5910	435	72	service	service	NOUN
ejpam-5910	435	73	rates	rate	NOUN
ejpam-5910	435	74	results	result	VERB
ejpam-5910	435	75	in	in	ADP
ejpam-5910	435	76	a	a	DET
ejpam-5910	435	77	gradual	gradual	ADJ
ejpam-5910	435	78	decrease	decrease	NOUN
ejpam-5910	435	79	in	in	ADP
ejpam-5910	435	80	the	the	DET
ejpam-5910	435	81	waiting	waiting	NOUN
ejpam-5910	435	82	time	time	NOUN
ejpam-5910	435	83	(	(	PUNCT
ejpam-5910	435	84	table	table	NOUN
ejpam-5910	435	85	4	4	NUM
ejpam-5910	435	86	)	)	PUNCT
ejpam-5910	435	87	.	.	PUNCT
ejpam-5910	436	1	table	table	NOUN
ejpam-5910	436	2	5	5	NUM
ejpam-5910	436	3	:	:	PUNCT
ejpam-5910	436	4	breakdown	breakdown	ADJ
ejpam-5910	436	5	probability	probability	NOUN
ejpam-5910	436	6	rate	rate	NOUN
ejpam-5910	436	7	versus	versus	ADP
ejpam-5910	436	8	performance	performance	NOUN
ejpam-5910	436	9	metrics	metric	NOUN
ejpam-5910	436	10	.	.	PUNCT
ejpam-5910	437	1	λ	λ	X
ejpam-5910	437	2	=	=	NOUN
ejpam-5910	437	3	11	11	NUM
ejpam-5910	437	4	,	,	PUNCT
ejpam-5910	437	5	µ1	µ1	PROPN
ejpam-5910	437	6	=	=	SYM
ejpam-5910	437	7	15	15	NUM
ejpam-5910	437	8	,	,	PUNCT
ejpam-5910	437	9	µ2	µ2	PROPN
ejpam-5910	437	10	=	=	PROPN
ejpam-5910	437	11	10	10	NUM
ejpam-5910	437	12	,	,	PUNCT
ejpam-5910	437	13	a	a	DET
ejpam-5910	437	14	=	=	SYM
ejpam-5910	437	15	5	5	NUM
ejpam-5910	437	16	,	,	PUNCT
ejpam-5910	437	17	b	b	NOUN
ejpam-5910	437	18	=	=	SYM
ejpam-5910	437	19	8	8	NUM
ejpam-5910	437	20	,	,	PUNCT
ejpam-5910	437	21	α	α	NOUN
ejpam-5910	437	22	=	=	SYM
ejpam-5910	437	23	5	5	NUM
ejpam-5910	437	24	,	,	PUNCT
ejpam-5910	437	25	β	β	X
ejpam-5910	437	26	=	=	SYM
ejpam-5910	437	27	5	5	NUM
ejpam-5910	437	28	φ	φ	NUM
ejpam-5910	437	29	ρ	ρ	PROPN
ejpam-5910	437	30	e(q	e(q	PROPN
ejpam-5910	437	31	)	)	PUNCT
ejpam-5910	437	32	e(w	e(w	PROPN
ejpam-5910	437	33	)	)	PUNCT
ejpam-5910	437	34	e(b	e(b	VERB
ejpam-5910	437	35	)	)	PUNCT
ejpam-5910	437	36	e(i	e(i	PROPN
ejpam-5910	437	37	)	)	PUNCT
ejpam-5910	437	38	tac	tac	NOUN
ejpam-5910	437	39	0.1	0.1	NUM
ejpam-5910	437	40	0.421667	0.421667	NUM
ejpam-5910	437	41	06.3713	06.3713	NUM
ejpam-5910	438	1	0.2896	0.2896	NUM
ejpam-5910	438	2	0.3949	0.3949	NUM
ejpam-5910	438	3	0.4614	0.4614	NUM
ejpam-5910	438	4	08.8966	08.8966	NUM
ejpam-5910	438	5	0.2	0.2	NUM
ejpam-5910	438	6	0.476667	0.476667	NUM
ejpam-5910	438	7	07.2082	07.2082	NUM
ejpam-5910	439	1	0.3276	0.3276	NUM
ejpam-5910	439	2	0.4635	0.4635	NUM
ejpam-5910	439	3	0.4082	0.4082	NUM
ejpam-5910	439	4	09.6579	09.6579	NUM
ejpam-5910	439	5	0.3	0.3	NUM
ejpam-5910	439	6	0.531667	0.531667	NUM
ejpam-5910	439	7	09.1862	09.1862	NUM
ejpam-5910	439	8	0.4176	0.4176	NUM
ejpam-5910	439	9	0.4884	0.4884	NUM
ejpam-5910	439	10	0.4082	0.4082	NUM
ejpam-5910	439	11	10.5541	10.5541	NUM
ejpam-5910	439	12	0.4	0.4	NUM
ejpam-5910	439	13	0.586667	0.586667	NUM
ejpam-5910	439	14	09.5339	09.5339	NUM
ejpam-5910	440	1	0.4334	0.4334	NUM
ejpam-5910	440	2	0.6572	0.6572	NUM
ejpam-5910	440	3	0.3324	0.3324	NUM
ejpam-5910	440	4	11.1029	11.1029	NUM
ejpam-5910	440	5	0.5	0.5	NUM
ejpam-5910	440	6	0.641667	0.641667	NUM
ejpam-5910	440	7	11.2208	11.2208	NUM
ejpam-5910	440	8	0.5100	0.5100	NUM
ejpam-5910	440	9	0.7999	0.7999	NUM
ejpam-5910	440	10	0.3044	0.3044	NUM
ejpam-5910	440	11	11.9256	11.9256	NUM
ejpam-5910	440	12	0.6	0.6	NUM
ejpam-5910	440	13	0.696667	0.696667	NUM
ejpam-5910	440	14	13.5104	13.5104	NUM
ejpam-5910	440	15	0.6141	0.6141	NUM
ejpam-5910	440	16	0.9954	0.9954	NUM
ejpam-5910	440	17	0.2811	0.2811	NUM
ejpam-5910	440	18	12.9693	12.9693	NUM
ejpam-5910	440	19	0.7	0.7	NUM
ejpam-5910	440	20	0.751667	0.751667	NUM
ejpam-5910	440	21	20.4674	20.4674	NUM
ejpam-5910	440	22	0.9303	0.9303	NUM
ejpam-5910	440	23	1.0394	1.0394	NUM
ejpam-5910	440	24	0.2811	0.2811	NUM
ejpam-5910	440	25	16.3631	16.3631	NUM
ejpam-5910	440	26	0.8	0.8	NUM
ejpam-5910	440	27	0.806667	0.806667	NUM
ejpam-5910	440	28	21.9431	21.9431	NUM
ejpam-5910	440	29	0.9974	0.9974	NUM
ejpam-5910	440	30	1.7272	1.7272	NUM
ejpam-5910	440	31	0.2442	0.2442	NUM
ejpam-5910	440	32	16.8187	16.8187	NUM
ejpam-5910	440	33	0.9	0.9	NUM
ejpam-5910	440	34	0.861667	0.861667	NUM
ejpam-5910	440	35	31.1468	31.1468	NUM
ejpam-5910	440	36	1.4158	1.4158	NUM
ejpam-5910	440	37	2.5354	2.5354	NUM
ejpam-5910	440	38	0.2294	0.2294	NUM
ejpam-5910	440	39	21.1886	21.1886	NUM
ejpam-5910	440	40	1.0	1.0	NUM
ejpam-5910	440	41	0.916667	0.916667	NUM
ejpam-5910	440	42	52.4404	52.4404	NUM
ejpam-5910	440	43	2.3837	2.3837	NUM
ejpam-5910	440	44	4.4194	4.4194	NUM
ejpam-5910	440	45	0.2165	0.2165	NUM
ejpam-5910	440	46	31.5902	31.5902	NUM
ejpam-5910	440	47	table	table	NOUN
ejpam-5910	440	48	5	5	NUM
ejpam-5910	440	49	clearly	clearly	ADV
ejpam-5910	440	50	shows	show	VERB
ejpam-5910	440	51	that	that	SCONJ
ejpam-5910	440	52	the	the	DET
ejpam-5910	440	53	server	server	NOUN
ejpam-5910	440	54	’s	’s	PART
ejpam-5910	440	55	busy	busy	ADJ
ejpam-5910	440	56	period	period	NOUN
ejpam-5910	440	57	increases	increase	NOUN
ejpam-5910	440	58	and	and	CCONJ
ejpam-5910	440	59	its	its	PRON
ejpam-5910	440	60	idle	idle	ADJ
ejpam-5910	440	61	time	time	NOUN
ejpam-5910	440	62	decreases	decrease	VERB
ejpam-5910	440	63	when	when	SCONJ
ejpam-5910	440	64	the	the	DET
ejpam-5910	440	65	probability	probability	NOUN
ejpam-5910	440	66	of	of	ADP
ejpam-5910	440	67	a	a	DET
ejpam-5910	440	68	breakdown	breakdown	ADJ
ejpam-5910	440	69	increases	increase	NOUN
ejpam-5910	440	70	.	.	PUNCT
ejpam-5910	441	1	table	table	NOUN
ejpam-5910	441	2	5	5	NUM
ejpam-5910	441	3	and	and	CCONJ
ejpam-5910	441	4	figures	figure	NOUN
ejpam-5910	441	5	6	6	NUM
ejpam-5910	441	6	and	and	CCONJ
ejpam-5910	441	7	7	7	NUM
ejpam-5910	441	8	shows	show	VERB
ejpam-5910	441	9	that	that	SCONJ
ejpam-5910	441	10	as	as	ADP
ejpam-5910	441	11	the	the	DET
ejpam-5910	441	12	breakdown	breakdown	ADJ
ejpam-5910	441	13	probability	probability	NOUN
ejpam-5910	441	14	increases	increase	NOUN
ejpam-5910	441	15	,	,	PUNCT
ejpam-5910	441	16	the	the	DET
ejpam-5910	441	17	average	average	ADJ
ejpam-5910	441	18	waiting	waiting	NOUN
ejpam-5910	441	19	time	time	NOUN
ejpam-5910	441	20	and	and	CCONJ
ejpam-5910	441	21	queue	queue	NOUN
ejpam-5910	441	22	length	length	NOUN
ejpam-5910	441	23	also	also	ADV
ejpam-5910	441	24	increase	increase	VERB
ejpam-5910	441	25	proportionally	proportionally	ADV
ejpam-5910	441	26	.	.	PUNCT
ejpam-5910	442	1	karpagam	karpagam	PROPN
ejpam-5910	442	2	s	s	PROPN
ejpam-5910	442	3	,	,	PUNCT
ejpam-5910	442	4	aarthy	aarthy	ADJ
ejpam-5910	442	5	n	n	CCONJ
ejpam-5910	442	6	,	,	PUNCT
ejpam-5910	442	7	g.	g.	PROPN
ejpam-5910	442	8	k.	k.	PROPN
ejpam-5910	442	9	gupta	gupta	PROPN
ejpam-5910	442	10	/	/	SYM
ejpam-5910	442	11	eur	eur	PROPN
ejpam-5910	442	12	.	.	PUNCT
ejpam-5910	443	1	j.	j.	PROPN
ejpam-5910	443	2	pure	pure	PROPN
ejpam-5910	443	3	appl	appl	PROPN
ejpam-5910	443	4	.	.	PROPN
ejpam-5910	443	5	math	math	PROPN
ejpam-5910	443	6	,	,	PUNCT
ejpam-5910	443	7	18	18	NUM
ejpam-5910	443	8	(	(	PUNCT
ejpam-5910	443	9	3	3	NUM
ejpam-5910	443	10	)	)	PUNCT
ejpam-5910	443	11	(	(	PUNCT
ejpam-5910	443	12	2025	2025	NUM
ejpam-5910	443	13	)	)	PUNCT
ejpam-5910	443	14	,	,	PUNCT
ejpam-5910	443	15	5910	5910	NUM
ejpam-5910	443	16	23	23	NUM
ejpam-5910	443	17	of	of	ADP
ejpam-5910	443	18	28	28	NUM
ejpam-5910	443	19	tables	table	NOUN
ejpam-5910	443	20	6	6	NUM
ejpam-5910	443	21	and	and	CCONJ
ejpam-5910	443	22	7	7	NUM
ejpam-5910	443	23	demonstrate	demonstrate	VERB
ejpam-5910	443	24	that	that	SCONJ
ejpam-5910	443	25	,	,	PUNCT
ejpam-5910	443	26	for	for	ADP
ejpam-5910	443	27	a	a	DET
ejpam-5910	443	28	fixed	fix	VERB
ejpam-5910	443	29	renovation	renovation	NOUN
ejpam-5910	443	30	rate	rate	NOUN
ejpam-5910	443	31	,	,	PUNCT
ejpam-5910	443	32	an	an	DET
ejpam-5910	443	33	increase	increase	NOUN
ejpam-5910	443	34	in	in	ADP
ejpam-5910	443	35	the	the	DET
ejpam-5910	443	36	breakdown	breakdown	ADJ
ejpam-5910	443	37	probability	probability	NOUN
ejpam-5910	443	38	ratio	ratio	NOUN
ejpam-5910	443	39	results	result	NOUN
ejpam-5910	443	40	in	in	ADP
ejpam-5910	443	41	higher	high	ADJ
ejpam-5910	443	42	expected	expect	VERB
ejpam-5910	443	43	queue	queue	NOUN
ejpam-5910	443	44	lengths	length	NOUN
ejpam-5910	443	45	and	and	CCONJ
ejpam-5910	443	46	longer	long	ADV
ejpam-5910	443	47	waiting	wait	VERB
ejpam-5910	443	48	times	time	NOUN
ejpam-5910	443	49	.	.	PUNCT
ejpam-5910	444	1	in	in	ADP
ejpam-5910	444	2	contrast	contrast	NOUN
ejpam-5910	444	3	,	,	PUNCT
ejpam-5910	444	4	increasing	increase	VERB
ejpam-5910	444	5	the	the	DET
ejpam-5910	444	6	renovation	renovation	NOUN
ejpam-5910	444	7	rate	rate	NOUN
ejpam-5910	444	8	leads	lead	VERB
ejpam-5910	444	9	to	to	ADP
ejpam-5910	444	10	a	a	DET
ejpam-5910	444	11	comparative	comparative	ADJ
ejpam-5910	444	12	reduction	reduction	NOUN
ejpam-5910	444	13	in	in	ADP
ejpam-5910	444	14	both	both	DET
ejpam-5910	444	15	expected	expect	VERB
ejpam-5910	444	16	queue	queue	NOUN
ejpam-5910	444	17	length	length	NOUN
ejpam-5910	444	18	and	and	CCONJ
ejpam-5910	444	19	waiting	wait	VERB
ejpam-5910	444	20	time	time	NOUN
ejpam-5910	444	21	.	.	PUNCT
ejpam-5910	445	1	table	table	NOUN
ejpam-5910	445	2	8	8	NUM
ejpam-5910	445	3	and	and	CCONJ
ejpam-5910	445	4	figures	figure	NOUN
ejpam-5910	445	5	8	8	NUM
ejpam-5910	445	6	and	and	CCONJ
ejpam-5910	445	7	9	9	NUM
ejpam-5910	445	8	demonstrate	demonstrate	VERB
ejpam-5910	445	9	that	that	SCONJ
ejpam-5910	445	10	the	the	DET
ejpam-5910	445	11	anticipated	anticipated	ADJ
ejpam-5910	445	12	queue	queue	NOUN
ejpam-5910	445	13	length	length	NOUN
ejpam-5910	445	14	and	and	CCONJ
ejpam-5910	445	15	waiting	wait	VERB
ejpam-5910	445	16	duration	duration	NOUN
ejpam-5910	445	17	with	with	ADP
ejpam-5910	445	18	server	server	NOUN
ejpam-5910	445	19	breakdown	breakdown	NOUN
ejpam-5910	445	20	exceed	exceed	VERB
ejpam-5910	445	21	those	those	PRON
ejpam-5910	445	22	without	without	ADP
ejpam-5910	445	23	server	server	NOUN
ejpam-5910	445	24	breakdown	breakdown	NOUN
ejpam-5910	445	25	as	as	ADP
ejpam-5910	445	26	the	the	DET
ejpam-5910	445	27	threshold	threshold	NOUN
ejpam-5910	445	28	value	value	NOUN
ejpam-5910	445	29	increases	increase	NOUN
ejpam-5910	445	30	.	.	PUNCT
ejpam-5910	446	1	figure	figure	VERB
ejpam-5910	446	2	6	6	NUM
ejpam-5910	446	3	:	:	PUNCT
ejpam-5910	446	4	breakdown	breakdown	ADJ
ejpam-5910	446	5	rate	rate	NOUN
ejpam-5910	446	6	vs	vs	ADP
ejpam-5910	446	7	e(q	e(q	PROPN
ejpam-5910	446	8	)	)	PUNCT
ejpam-5910	446	9	figure	figure	NOUN
ejpam-5910	446	10	7	7	NUM
ejpam-5910	446	11	:	:	PUNCT
ejpam-5910	446	12	breakdown	breakdown	ADJ
ejpam-5910	446	13	rate	rate	NOUN
ejpam-5910	446	14	vs	vs	ADP
ejpam-5910	446	15	e(w	e(w	PROPN
ejpam-5910	446	16	)	)	PUNCT
ejpam-5910	446	17	table	table	NOUN
ejpam-5910	446	18	6	6	NUM
ejpam-5910	446	19	:	:	PUNCT
ejpam-5910	446	20	breakdown	breakdown	VERB
ejpam-5910	446	21	probability	probability	NOUN
ejpam-5910	446	22	rate	rate	NOUN
ejpam-5910	446	23	versus	versus	ADP
ejpam-5910	446	24	eq	eq	NOUN
ejpam-5910	446	25	for	for	ADP
ejpam-5910	446	26	varying	vary	VERB
ejpam-5910	446	27	β	β	NOUN
ejpam-5910	446	28	.	.	PUNCT
ejpam-5910	447	1	λ	λ	X
ejpam-5910	447	2	=	=	NOUN
ejpam-5910	447	3	11	11	NUM
ejpam-5910	447	4	,	,	PUNCT
ejpam-5910	447	5	,	,	PUNCT
ejpam-5910	447	6	µ1	µ1	PROPN
ejpam-5910	447	7	=	=	SYM
ejpam-5910	447	8	15	15	NUM
ejpam-5910	447	9	,	,	PUNCT
ejpam-5910	447	10	µ2	µ2	PROPN
ejpam-5910	447	11	=	=	PROPN
ejpam-5910	447	12	5	5	NUM
ejpam-5910	447	13	,	,	PUNCT
ejpam-5910	447	14	a	a	DET
ejpam-5910	447	15	=	=	SYM
ejpam-5910	447	16	5	5	NUM
ejpam-5910	447	17	,	,	PUNCT
ejpam-5910	447	18	b	b	NOUN
ejpam-5910	447	19	=	=	SYM
ejpam-5910	447	20	8	8	NUM
ejpam-5910	447	21	φ	φ	X
ejpam-5910	447	22	β	β	X
ejpam-5910	448	1	=	=	SYM
ejpam-5910	448	2	5	5	NUM
ejpam-5910	448	3	β	β	X
ejpam-5910	448	4	=	=	SYM
ejpam-5910	448	5	6	6	NUM
ejpam-5910	448	6	β	β	X
ejpam-5910	448	7	=	=	SYM
ejpam-5910	448	8	7	7	NUM
ejpam-5910	448	9	β	β	X
ejpam-5910	448	10	=	=	SYM
ejpam-5910	448	11	8	8	NUM
ejpam-5910	448	12	β	β	X
ejpam-5910	448	13	=	=	NOUN
ejpam-5910	448	14	9	9	NUM
ejpam-5910	448	15	0.1	0.1	NUM
ejpam-5910	448	16	10.3594	10.3594	NUM
ejpam-5910	448	17	10.1619	10.1619	NUM
ejpam-5910	448	18	10.0467	10.0467	NUM
ejpam-5910	448	19	9.9622	9.9622	NUM
ejpam-5910	448	20	9.9110	9.9110	NUM
ejpam-5910	448	21	0.2	0.2	NUM
ejpam-5910	448	22	11.2193	11.2193	NUM
ejpam-5910	448	23	10.7665	10.7665	NUM
ejpam-5910	448	24	10.4978	10.4978	NUM
ejpam-5910	448	25	10.3251	10.3251	NUM
ejpam-5910	448	26	10.2045	10.2045	NUM
ejpam-5910	448	27	0.3	0.3	NUM
ejpam-5910	448	28	13.6112	13.6112	NUM
ejpam-5910	448	29	12.3454	12.3454	NUM
ejpam-5910	448	30	11.6393	11.6393	NUM
ejpam-5910	448	31	11.2012	11.2012	NUM
ejpam-5910	448	32	10.9077	10.9077	NUM
ejpam-5910	448	33	0.4	0.4	NUM
ejpam-5910	448	34	14.0458	14.0458	NUM
ejpam-5910	448	35	12.7828	12.7828	NUM
ejpam-5910	448	36	12.0496	12.0496	NUM
ejpam-5910	448	37	11.5798	11.5798	NUM
ejpam-5910	448	38	11.2542	11.2542	NUM
ejpam-5910	448	39	0.5	0.5	NUM
ejpam-5910	448	40	15.2110	15.2110	NUM
ejpam-5910	448	41	13.4009	13.4009	NUM
ejpam-5910	448	42	12.3655	12.3655	NUM
ejpam-5910	448	43	11.7385	11.7385	NUM
ejpam-5910	448	44	11.3271	11.3271	NUM
ejpam-5910	448	45	0.6	0.6	NUM
ejpam-5910	448	46	17.7013	17.7013	NUM
ejpam-5910	448	47	14.7254	14.7254	NUM
ejpam-5910	448	48	13.2323	13.2323	NUM
ejpam-5910	448	49	12.3634	12.3634	NUM
ejpam-5910	448	50	11.8045	11.8045	NUM
ejpam-5910	448	51	0.7	0.7	NUM
ejpam-5910	448	52	26.3668	26.3668	NUM
ejpam-5910	448	53	18.7205	18.7205	NUM
ejpam-5910	448	54	15.6070	15.6070	NUM
ejpam-5910	448	55	13.9735	13.9735	NUM
ejpam-5910	448	56	12.9863	12.9863	NUM
ejpam-5910	448	57	0.8	0.8	NUM
ejpam-5910	448	58	26.3741	26.3741	NUM
ejpam-5910	448	59	19.1998	19.1998	NUM
ejpam-5910	448	60	16.1029	16.1029	NUM
ejpam-5910	448	61	14.4297	14.4297	NUM
ejpam-5910	448	62	13.3998	13.3998	NUM
ejpam-5910	448	63	0.9	0.9	NUM
ejpam-5910	448	64	35.8388	35.8388	NUM
ejpam-5910	448	65	21.9549	21.9549	NUM
ejpam-5910	448	66	17.2923	17.2923	NUM
ejpam-5910	448	67	15.0341	15.0341	NUM
ejpam-5910	448	68	13.7313	13.7313	NUM
ejpam-5910	448	69	1.0	1.0	NUM
ejpam-5910	448	70	57.7410	57.7410	NUM
ejpam-5910	448	71	26.8644	26.8644	NUM
ejpam-5910	448	72	19.5223	19.5223	NUM
ejpam-5910	448	73	16.3457	16.3457	NUM
ejpam-5910	448	74	14.6126	14.6126	NUM
ejpam-5910	448	75	karpagam	karpagam	PROPN
ejpam-5910	448	76	s	s	PROPN
ejpam-5910	448	77	,	,	PUNCT
ejpam-5910	448	78	aarthy	aarthy	ADJ
ejpam-5910	448	79	n	n	CCONJ
ejpam-5910	448	80	,	,	PUNCT
ejpam-5910	449	1	g.	g.	PROPN
ejpam-5910	449	2	k.	k.	PROPN
ejpam-5910	449	3	gupta	gupta	PROPN
ejpam-5910	449	4	/	/	SYM
ejpam-5910	449	5	eur	eur	PROPN
ejpam-5910	449	6	.	.	PUNCT
ejpam-5910	450	1	j.	j.	PROPN
ejpam-5910	450	2	pure	pure	PROPN
ejpam-5910	450	3	appl	appl	PROPN
ejpam-5910	450	4	.	.	PROPN
ejpam-5910	450	5	math	math	PROPN
ejpam-5910	450	6	,	,	PUNCT
ejpam-5910	450	7	18	18	NUM
ejpam-5910	450	8	(	(	PUNCT
ejpam-5910	450	9	3	3	NUM
ejpam-5910	450	10	)	)	PUNCT
ejpam-5910	450	11	(	(	PUNCT
ejpam-5910	450	12	2025	2025	NUM
ejpam-5910	450	13	)	)	PUNCT
ejpam-5910	450	14	,	,	PUNCT
ejpam-5910	450	15	5910	5910	NUM
ejpam-5910	450	16	24	24	NUM
ejpam-5910	450	17	of	of	ADP
ejpam-5910	450	18	28	28	NUM
ejpam-5910	450	19	table	table	NOUN
ejpam-5910	450	20	7	7	NUM
ejpam-5910	450	21	:	:	PUNCT
ejpam-5910	450	22	breakdown	breakdown	ADJ
ejpam-5910	450	23	probability	probability	NOUN
ejpam-5910	450	24	rate	rate	NOUN
ejpam-5910	450	25	versus	versus	ADP
ejpam-5910	450	26	e(w	e(w	PROPN
ejpam-5910	450	27	)	)	PUNCT
ejpam-5910	450	28	for	for	ADP
ejpam-5910	450	29	varying	vary	VERB
ejpam-5910	450	30	β	β	X
ejpam-5910	450	31	.	.	PUNCT
ejpam-5910	451	1	λ	λ	X
ejpam-5910	451	2	=	=	NOUN
ejpam-5910	451	3	11	11	NUM
ejpam-5910	451	4	,	,	PUNCT
ejpam-5910	451	5	,	,	PUNCT
ejpam-5910	451	6	µ1	µ1	PROPN
ejpam-5910	451	7	=	=	SYM
ejpam-5910	451	8	15	15	NUM
ejpam-5910	451	9	,	,	PUNCT
ejpam-5910	451	10	µ2	µ2	PROPN
ejpam-5910	451	11	=	=	PROPN
ejpam-5910	451	12	5	5	NUM
ejpam-5910	451	13	,	,	PUNCT
ejpam-5910	451	14	a	a	DET
ejpam-5910	451	15	=	=	SYM
ejpam-5910	451	16	5	5	NUM
ejpam-5910	451	17	,	,	PUNCT
ejpam-5910	451	18	b	b	NOUN
ejpam-5910	451	19	=	=	SYM
ejpam-5910	451	20	8	8	NUM
ejpam-5910	451	21	φ	φ	X
ejpam-5910	451	22	β	β	X
ejpam-5910	452	1	=	=	SYM
ejpam-5910	452	2	5	5	NUM
ejpam-5910	452	3	β	β	X
ejpam-5910	452	4	=	=	SYM
ejpam-5910	452	5	6	6	NUM
ejpam-5910	452	6	β	β	X
ejpam-5910	452	7	=	=	SYM
ejpam-5910	452	8	7	7	NUM
ejpam-5910	452	9	β	β	X
ejpam-5910	452	10	=	=	SYM
ejpam-5910	452	11	8	8	NUM
ejpam-5910	452	12	β	β	X
ejpam-5910	452	13	=	=	NOUN
ejpam-5910	452	14	9	9	NUM
ejpam-5910	452	15	0.1	0.1	NUM
ejpam-5910	452	16	0.4709	0.4709	NUM
ejpam-5910	452	17	0.4619	0.4619	NUM
ejpam-5910	453	1	0.4567	0.4567	NUM
ejpam-5910	453	2	0.4528	0.4528	NUM
ejpam-5910	453	3	0.4505	0.4505	NUM
ejpam-5910	453	4	0.2	0.2	NUM
ejpam-5910	453	5	0.5100	0.5100	NUM
ejpam-5910	453	6	0.4894	0.4894	NUM
ejpam-5910	453	7	0.4772	0.4772	NUM
ejpam-5910	453	8	0.4693	0.4693	NUM
ejpam-5910	453	9	0.4638	0.4638	NUM
ejpam-5910	453	10	0.3	0.3	NUM
ejpam-5910	453	11	0.6187	0.6187	NUM
ejpam-5910	453	12	0.5612	0.5612	NUM
ejpam-5910	453	13	0.5291	0.5291	NUM
ejpam-5910	453	14	0.5091	0.5091	NUM
ejpam-5910	453	15	0.4958	0.4958	NUM
ejpam-5910	453	16	0.4	0.4	NUM
ejpam-5910	453	17	0.6384	0.6384	NUM
ejpam-5910	453	18	0.5810	0.5810	NUM
ejpam-5910	453	19	0.5477	0.5477	NUM
ejpam-5910	453	20	0.5264	0.5264	NUM
ejpam-5910	453	21	0.5116	0.5116	NUM
ejpam-5910	453	22	0.5	0.5	NUM
ejpam-5910	453	23	0.6914	0.6914	NUM
ejpam-5910	453	24	0.6091	0.6091	NUM
ejpam-5910	453	25	0.5621	0.5621	NUM
ejpam-5910	453	26	0.5336	0.5336	NUM
ejpam-5910	453	27	0.5149	0.5149	NUM
ejpam-5910	453	28	0.6	0.6	NUM
ejpam-5910	453	29	0.8046	0.8046	NUM
ejpam-5910	453	30	0.6693	0.6693	NUM
ejpam-5910	453	31	0.6015	0.6015	NUM
ejpam-5910	453	32	0.5620	0.5620	NUM
ejpam-5910	453	33	0.5366	0.5366	NUM
ejpam-5910	453	34	0.7	0.7	NUM
ejpam-5910	453	35	1.1985	1.1985	NUM
ejpam-5910	453	36	0.8509	0.8509	NUM
ejpam-5910	453	37	0.7094	0.7094	NUM
ejpam-5910	454	1	0.6352	0.6352	NUM
ejpam-5910	454	2	0.5903	0.5903	NUM
ejpam-5910	454	3	0.8	0.8	NUM
ejpam-5910	454	4	1.1988	1.1988	NUM
ejpam-5910	454	5	0.8727	0.8727	NUM
ejpam-5910	454	6	0.7319	0.7319	NUM
ejpam-5910	454	7	0.6559	0.6559	NUM
ejpam-5910	454	8	0.6091	0.6091	NUM
ejpam-5910	454	9	0.9	0.9	NUM
ejpam-5910	454	10	1.6290	1.6290	NUM
ejpam-5910	454	11	0.9979	0.9979	NUM
ejpam-5910	454	12	0.7860	0.7860	NUM
ejpam-5910	454	13	0.6834	0.6834	NUM
ejpam-5910	454	14	0.6241	0.6241	NUM
ejpam-5910	454	15	1.0	1.0	NUM
ejpam-5910	454	16	2.6246	2.6246	NUM
ejpam-5910	454	17	1.2211	1.2211	NUM
ejpam-5910	454	18	0.8874	0.8874	NUM
ejpam-5910	454	19	0.7430	0.7430	NUM
ejpam-5910	454	20	0.6642	0.6642	NUM
ejpam-5910	454	21	table	table	NOUN
ejpam-5910	454	22	8	8	NUM
ejpam-5910	454	23	:	:	PUNCT
ejpam-5910	454	24	threshold	threshold	NOUN
ejpam-5910	454	25	value	value	NOUN
ejpam-5910	454	26	versus	versus	ADP
ejpam-5910	454	27	performance	performance	NOUN
ejpam-5910	454	28	metrics	metric	NOUN
ejpam-5910	454	29	.	.	PUNCT
ejpam-5910	455	1	λ	λ	X
ejpam-5910	455	2	=	=	NOUN
ejpam-5910	455	3	20	20	NUM
ejpam-5910	455	4	,	,	PUNCT
ejpam-5910	455	5	µ1	µ1	PROPN
ejpam-5910	455	6	=	=	SYM
ejpam-5910	455	7	15	15	NUM
ejpam-5910	455	8	,	,	PUNCT
ejpam-5910	455	9	µ2	µ2	PROPN
ejpam-5910	455	10	=	=	PROPN
ejpam-5910	455	11	10	10	NUM
ejpam-5910	455	12	,	,	PUNCT
ejpam-5910	455	13	φ	φ	NOUN
ejpam-5910	455	14	=	=	SYM
ejpam-5910	455	15	0.1	0.1	NUM
ejpam-5910	455	16	,	,	PUNCT
ejpam-5910	455	17	b	b	NOUN
ejpam-5910	455	18	=	=	SYM
ejpam-5910	455	19	8	8	NUM
ejpam-5910	455	20	,	,	PUNCT
ejpam-5910	455	21	α	α	NOUN
ejpam-5910	455	22	=	=	SYM
ejpam-5910	455	23	5	5	NUM
ejpam-5910	455	24	,	,	PUNCT
ejpam-5910	455	25	β	β	X
ejpam-5910	455	26	=	=	SYM
ejpam-5910	455	27	5	5	NUM
ejpam-5910	455	28	a	a	DET
ejpam-5910	455	29	server	server	NOUN
ejpam-5910	455	30	breakdown	breakdown	NOUN
ejpam-5910	455	31	without	without	ADP
ejpam-5910	455	32	server	server	NOUN
ejpam-5910	455	33	breakdown	breakdown	NOUN
ejpam-5910	455	34	e(q	e(q	NOUN
ejpam-5910	455	35	)	)	PUNCT
ejpam-5910	455	36	e(w	e(w	PROPN
ejpam-5910	455	37	)	)	PUNCT
ejpam-5910	455	38	tac	tac	PROPN
ejpam-5910	455	39	e(q	e(q	PROPN
ejpam-5910	455	40	)	)	PUNCT
ejpam-5910	455	41	e(w	e(w	PROPN
ejpam-5910	455	42	)	)	PUNCT
ejpam-5910	456	1	tac	tac	PROPN
ejpam-5910	456	2	2	2	NUM
ejpam-5910	456	3	21.4424	21.4424	NUM
ejpam-5910	456	4	0.5361	0.5361	NUM
ejpam-5910	456	5	18.2406	18.2406	NUM
ejpam-5910	456	6	13.3444	13.3444	NUM
ejpam-5910	456	7	0.3336	0.3336	NUM
ejpam-5910	456	8	14.8714	14.8714	NUM
ejpam-5910	456	9	3	3	NUM
ejpam-5910	456	10	21.5845	21.5845	NUM
ejpam-5910	456	11	0.5396	0.5396	NUM
ejpam-5910	456	12	18.0931	18.0931	NUM
ejpam-5910	456	13	13.5769	13.5769	NUM
ejpam-5910	456	14	0.3394	0.3394	NUM
ejpam-5910	456	15	14.6671	14.6671	NUM
ejpam-5910	456	16	4	4	NUM
ejpam-5910	456	17	21.7315	21.7315	NUM
ejpam-5910	456	18	0.5433	0.5433	NUM
ejpam-5910	456	19	17.9695	17.9695	NUM
ejpam-5910	456	20	13.8003	13.8003	NUM
ejpam-5910	456	21	0.3450	0.3450	NUM
ejpam-5910	456	22	14.5024	14.5024	NUM
ejpam-5910	456	23	5	5	NUM
ejpam-5910	456	24	21.8943	21.8943	NUM
ejpam-5910	456	25	0.5474	0.5474	NUM
ejpam-5910	456	26	17.8716	17.8716	NUM
ejpam-5910	456	27	14.0167	14.0167	NUM
ejpam-5910	456	28	0.3504	0.3504	NUM
ejpam-5910	456	29	14.3661	14.3661	NUM
ejpam-5910	456	30	6	6	NUM
ejpam-5910	456	31	22.0600	22.0600	NUM
ejpam-5910	456	32	0.5515	0.5515	NUM
ejpam-5910	456	33	17.7881	17.7881	NUM
ejpam-5910	456	34	14.2275	14.2275	NUM
ejpam-5910	456	35	0.3557	0.3557	NUM
ejpam-5910	456	36	14.2503	14.2503	NUM
ejpam-5910	456	37	7	7	NUM
ejpam-5910	456	38	22.2278	22.2278	NUM
ejpam-5910	456	39	0.5557	0.5557	NUM
ejpam-5910	456	40	17.7160	17.7160	NUM
ejpam-5910	456	41	14.4394	14.4394	NUM
ejpam-5910	456	42	0.3610	0.3610	NUM
ejpam-5910	456	43	14.1533	14.1533	NUM
ejpam-5910	456	44	figure	figure	NOUN
ejpam-5910	456	45	8	8	NUM
ejpam-5910	456	46	:	:	PUNCT
ejpam-5910	456	47	threshold	threshold	NOUN
ejpam-5910	456	48	value	value	NOUN
ejpam-5910	456	49	vs	vs	ADP
ejpam-5910	456	50	e(q	e(q	PROPN
ejpam-5910	456	51	)	)	PUNCT
ejpam-5910	456	52	figure	figure	NOUN
ejpam-5910	456	53	9	9	NUM
ejpam-5910	456	54	:	:	PUNCT
ejpam-5910	456	55	threshold	threshold	NOUN
ejpam-5910	456	56	value	value	NOUN
ejpam-5910	456	57	vs	vs	ADP
ejpam-5910	456	58	e(w	e(w	PROPN
ejpam-5910	456	59	)	)	PUNCT
ejpam-5910	456	60	karpagam	karpagam	PROPN
ejpam-5910	456	61	s	s	PROPN
ejpam-5910	456	62	,	,	PUNCT
ejpam-5910	456	63	aarthy	aarthy	ADJ
ejpam-5910	456	64	n	n	CCONJ
ejpam-5910	456	65	,	,	PUNCT
ejpam-5910	457	1	g.	g.	PROPN
ejpam-5910	457	2	k.	k.	PROPN
ejpam-5910	457	3	gupta	gupta	PROPN
ejpam-5910	457	4	/	/	SYM
ejpam-5910	457	5	eur	eur	PROPN
ejpam-5910	457	6	.	.	PUNCT
ejpam-5910	458	1	j.	j.	PROPN
ejpam-5910	458	2	pure	pure	PROPN
ejpam-5910	458	3	appl	appl	PROPN
ejpam-5910	458	4	.	.	PROPN
ejpam-5910	458	5	math	math	PROPN
ejpam-5910	458	6	,	,	PUNCT
ejpam-5910	458	7	18	18	NUM
ejpam-5910	458	8	(	(	PUNCT
ejpam-5910	458	9	3	3	NUM
ejpam-5910	458	10	)	)	PUNCT
ejpam-5910	458	11	(	(	PUNCT
ejpam-5910	458	12	2025	2025	NUM
ejpam-5910	458	13	)	)	PUNCT
ejpam-5910	458	14	,	,	PUNCT
ejpam-5910	458	15	5910	5910	NUM
ejpam-5910	458	16	25	25	NUM
ejpam-5910	458	17	of	of	ADP
ejpam-5910	458	18	28	28	NUM
ejpam-5910	458	19	figure	figure	NOUN
ejpam-5910	458	20	10	10	NUM
ejpam-5910	458	21	:	:	PUNCT
ejpam-5910	458	22	arrival	arrival	NOUN
ejpam-5910	458	23	rate	rate	NOUN
ejpam-5910	458	24	vs	vs	ADP
ejpam-5910	458	25	tac	tac	PROPN
ejpam-5910	458	26	figure	figure	NOUN
ejpam-5910	458	27	11	11	NUM
ejpam-5910	458	28	:	:	PUNCT
ejpam-5910	458	29	service	service	NOUN
ejpam-5910	458	30	rate	rate	NOUN
ejpam-5910	458	31	vs	vs	ADP
ejpam-5910	458	32	tac	tac	PROPN
ejpam-5910	458	33	figure	figure	NOUN
ejpam-5910	458	34	12	12	NUM
ejpam-5910	458	35	:	:	PUNCT
ejpam-5910	458	36	breakdown	breakdown	ADJ
ejpam-5910	458	37	rate	rate	NOUN
ejpam-5910	458	38	vs	vs	ADP
ejpam-5910	458	39	tac	tac	PROPN
ejpam-5910	458	40	figure	figure	NOUN
ejpam-5910	458	41	13	13	NUM
ejpam-5910	458	42	:	:	PUNCT
ejpam-5910	458	43	threshold	threshold	NOUN
ejpam-5910	458	44	value	value	NOUN
ejpam-5910	458	45	vs	vs	ADP
ejpam-5910	458	46	tac	tac	PROPN
ejpam-5910	458	47	karpagam	karpagam	PROPN
ejpam-5910	458	48	s	s	PROPN
ejpam-5910	458	49	,	,	PUNCT
ejpam-5910	458	50	aarthy	aarthy	ADJ
ejpam-5910	458	51	n	n	CCONJ
ejpam-5910	458	52	,	,	PUNCT
ejpam-5910	458	53	g.	g.	PROPN
ejpam-5910	458	54	k.	k.	PROPN
ejpam-5910	458	55	gupta	gupta	PROPN
ejpam-5910	458	56	/	/	SYM
ejpam-5910	458	57	eur	eur	PROPN
ejpam-5910	458	58	.	.	PUNCT
ejpam-5910	459	1	j.	j.	PROPN
ejpam-5910	459	2	pure	pure	PROPN
ejpam-5910	459	3	appl	appl	PROPN
ejpam-5910	459	4	.	.	PROPN
ejpam-5910	459	5	math	math	PROPN
ejpam-5910	459	6	,	,	PUNCT
ejpam-5910	459	7	18	18	NUM
ejpam-5910	459	8	(	(	PUNCT
ejpam-5910	459	9	3	3	NUM
ejpam-5910	459	10	)	)	PUNCT
ejpam-5910	459	11	(	(	PUNCT
ejpam-5910	459	12	2025	2025	NUM
ejpam-5910	459	13	)	)	PUNCT
ejpam-5910	459	14	,	,	PUNCT
ejpam-5910	459	15	5910	5910	NUM
ejpam-5910	459	16	26	26	NUM
ejpam-5910	459	17	of	of	ADP
ejpam-5910	459	18	28	28	NUM
ejpam-5910	459	19	the	the	DET
ejpam-5910	459	20	overall	overall	ADJ
ejpam-5910	459	21	average	average	ADJ
ejpam-5910	459	22	expenses	expense	NOUN
ejpam-5910	459	23	for	for	ADP
ejpam-5910	459	24	bulk	bulk	ADJ
ejpam-5910	459	25	service	service	NOUN
ejpam-5910	459	26	are	be	AUX
ejpam-5910	459	27	calculated	calculate	VERB
ejpam-5910	459	28	quantitatively	quantitatively	ADV
ejpam-5910	459	29	for	for	ADP
ejpam-5910	459	30	a	a	DET
ejpam-5910	459	31	range	range	NOUN
ejpam-5910	459	32	of	of	ADP
ejpam-5910	459	33	arrivals	arrival	NOUN
ejpam-5910	459	34	and	and	CCONJ
ejpam-5910	459	35	service	service	NOUN
ejpam-5910	459	36	rates	rate	NOUN
ejpam-5910	459	37	,	,	PUNCT
ejpam-5910	459	38	with	with	ADP
ejpam-5910	459	39	the	the	DET
ejpam-5910	459	40	support	support	NOUN
ejpam-5910	459	41	of	of	ADP
ejpam-5910	459	42	low	low	ADJ
ejpam-5910	459	43	-	-	PUNCT
ejpam-5910	459	44	batch	batch	NOUN
ejpam-5910	459	45	service	service	NOUN
ejpam-5910	459	46	.	.	PUNCT
ejpam-5910	460	1	based	base	VERB
ejpam-5910	460	2	on	on	ADP
ejpam-5910	460	3	tables	table	NOUN
ejpam-5910	460	4	1	1	NUM
ejpam-5910	460	5	and	and	CCONJ
ejpam-5910	460	6	2	2	NUM
ejpam-5910	460	7	as	as	ADV
ejpam-5910	460	8	well	well	ADV
ejpam-5910	460	9	as	as	ADP
ejpam-5910	460	10	figures	figure	NOUN
ejpam-5910	460	11	10	10	NUM
ejpam-5910	460	12	and	and	CCONJ
ejpam-5910	460	13	11	11	NUM
ejpam-5910	460	14	,	,	PUNCT
ejpam-5910	460	15	the	the	DET
ejpam-5910	460	16	following	follow	VERB
ejpam-5910	460	17	results	result	NOUN
ejpam-5910	460	18	are	be	AUX
ejpam-5910	460	19	noted	note	VERB
ejpam-5910	460	20	:	:	PUNCT
ejpam-5910	460	21	i.	i.	NOUN
ejpam-5910	460	22	the	the	DET
ejpam-5910	460	23	total	total	ADJ
ejpam-5910	460	24	average	average	ADJ
ejpam-5910	460	25	cost	cost	NOUN
ejpam-5910	460	26	rises	rise	NOUN
ejpam-5910	460	27	in	in	ADP
ejpam-5910	460	28	response	response	NOUN
ejpam-5910	460	29	to	to	ADP
ejpam-5910	460	30	an	an	DET
ejpam-5910	460	31	increase	increase	NOUN
ejpam-5910	460	32	in	in	ADP
ejpam-5910	460	33	the	the	DET
ejpam-5910	460	34	arrival	arrival	NOUN
ejpam-5910	460	35	rate	rate	NOUN
ejpam-5910	460	36	.	.	PUNCT
ejpam-5910	461	1	ii	ii	PROPN
ejpam-5910	461	2	.	.	PUNCT
ejpam-5910	462	1	the	the	DET
ejpam-5910	462	2	total	total	ADJ
ejpam-5910	462	3	average	average	ADJ
ejpam-5910	462	4	cost	cost	NOUN
ejpam-5910	462	5	decreases	decrease	VERB
ejpam-5910	462	6	overall	overall	ADV
ejpam-5910	462	7	when	when	SCONJ
ejpam-5910	462	8	the	the	DET
ejpam-5910	462	9	service	service	NOUN
ejpam-5910	462	10	rate	rate	NOUN
ejpam-5910	462	11	is	be	AUX
ejpam-5910	462	12	increased	increase	VERB
ejpam-5910	462	13	.	.	PUNCT
ejpam-5910	463	1	table	table	NOUN
ejpam-5910	463	2	5	5	NUM
ejpam-5910	463	3	and	and	CCONJ
ejpam-5910	463	4	figure	figure	VERB
ejpam-5910	463	5	12	12	NUM
ejpam-5910	463	6	demonstrate	demonstrate	NOUN
ejpam-5910	463	7	that	that	SCONJ
ejpam-5910	463	8	a	a	DET
ejpam-5910	463	9	rise	rise	NOUN
ejpam-5910	463	10	in	in	ADP
ejpam-5910	463	11	the	the	DET
ejpam-5910	463	12	breakdown	breakdown	ADJ
ejpam-5910	463	13	probability	probability	NOUN
ejpam-5910	463	14	ratio	ratio	NOUN
ejpam-5910	463	15	corresponds	correspond	VERB
ejpam-5910	463	16	to	to	ADP
ejpam-5910	463	17	an	an	DET
ejpam-5910	463	18	increase	increase	NOUN
ejpam-5910	463	19	in	in	ADP
ejpam-5910	463	20	the	the	DET
ejpam-5910	463	21	overall	overall	ADJ
ejpam-5910	463	22	cost	cost	NOUN
ejpam-5910	463	23	.	.	PUNCT
ejpam-5910	464	1	table	table	NOUN
ejpam-5910	464	2	8	8	NUM
ejpam-5910	464	3	and	and	CCONJ
ejpam-5910	464	4	figure	figure	VERB
ejpam-5910	464	5	13	13	NUM
ejpam-5910	464	6	show	show	NOUN
ejpam-5910	464	7	that	that	SCONJ
ejpam-5910	464	8	when	when	SCONJ
ejpam-5910	464	9	a	a	DET
ejpam-5910	464	10	breakdown	breakdown	NOUN
ejpam-5910	464	11	happens	happen	VERB
ejpam-5910	464	12	,	,	PUNCT
ejpam-5910	464	13	the	the	DET
ejpam-5910	464	14	overall	overall	ADJ
ejpam-5910	464	15	average	average	ADJ
ejpam-5910	464	16	cost	cost	NOUN
ejpam-5910	464	17	rises	rise	NOUN
ejpam-5910	464	18	.	.	PUNCT
ejpam-5910	465	1	9	9	X
ejpam-5910	465	2	.	.	X
ejpam-5910	465	3	conclusion	conclusion	NOUN
ejpam-5910	465	4	and	and	CCONJ
ejpam-5910	465	5	future	future	ADJ
ejpam-5910	465	6	work	work	NOUN
ejpam-5910	465	7	this	this	DET
ejpam-5910	465	8	paper	paper	NOUN
ejpam-5910	465	9	evaluates	evaluate	VERB
ejpam-5910	465	10	a	a	DET
ejpam-5910	465	11	batch	batch	NOUN
ejpam-5910	465	12	arrival	arrival	NOUN
ejpam-5910	465	13	queueing	queue	VERB
ejpam-5910	465	14	framework	framework	NOUN
ejpam-5910	465	15	referred	refer	VERB
ejpam-5910	465	16	to	to	ADP
ejpam-5910	465	17	as	as	ADP
ejpam-5910	465	18	m	m	PROPN
ejpam-5910	465	19	[	[	X
ejpam-5910	465	20	x]/g(a	x]/g(a	PROPN
ejpam-5910	465	21	,	,	PUNCT
ejpam-5910	465	22	b)/1	b)/1	PROPN
ejpam-5910	465	23	,	,	PUNCT
ejpam-5910	465	24	which	which	PRON
ejpam-5910	465	25	includes	include	VERB
ejpam-5910	465	26	low	low	ADJ
ejpam-5910	465	27	-	-	PUNCT
ejpam-5910	465	28	batch	batch	NOUN
ejpam-5910	465	29	service	service	NOUN
ejpam-5910	465	30	,	,	PUNCT
ejpam-5910	465	31	uninterruptible	uninterruptible	ADJ
ejpam-5910	465	32	server	server	NOUN
ejpam-5910	465	33	breakdown	breakdown	NOUN
ejpam-5910	465	34	,	,	PUNCT
ejpam-5910	465	35	multiple	multiple	ADJ
ejpam-5910	465	36	vacations	vacation	NOUN
ejpam-5910	465	37	and	and	CCONJ
ejpam-5910	465	38	renovation	renovation	NOUN
ejpam-5910	465	39	.	.	PUNCT
ejpam-5910	466	1	applying	apply	VERB
ejpam-5910	466	2	the	the	DET
ejpam-5910	466	3	supplementary	supplementary	ADJ
ejpam-5910	466	4	variable	variable	ADJ
ejpam-5910	466	5	technique	technique	NOUN
ejpam-5910	466	6	,	,	PUNCT
ejpam-5910	466	7	the	the	DET
ejpam-5910	466	8	probability	probability	NOUN
ejpam-5910	466	9	-	-	PUNCT
ejpam-5910	466	10	generating	generate	VERB
ejpam-5910	466	11	function	function	NOUN
ejpam-5910	466	12	for	for	ADP
ejpam-5910	466	13	queue	queue	NOUN
ejpam-5910	466	14	size	size	NOUN
ejpam-5910	466	15	at	at	ADP
ejpam-5910	466	16	each	each	DET
ejpam-5910	466	17	time	time	NOUN
ejpam-5910	466	18	epoch	epoch	NOUN
ejpam-5910	466	19	is	be	AUX
ejpam-5910	466	20	obtained	obtain	VERB
ejpam-5910	466	21	.	.	PUNCT
ejpam-5910	467	1	performance	performance	NOUN
ejpam-5910	467	2	metrics	metric	NOUN
ejpam-5910	467	3	are	be	AUX
ejpam-5910	467	4	derived	derive	VERB
ejpam-5910	467	5	,	,	PUNCT
ejpam-5910	467	6	and	and	CCONJ
ejpam-5910	467	7	specific	specific	ADJ
ejpam-5910	467	8	cases	case	NOUN
ejpam-5910	467	9	of	of	ADP
ejpam-5910	467	10	the	the	DET
ejpam-5910	467	11	model	model	NOUN
ejpam-5910	467	12	are	be	AUX
ejpam-5910	467	13	formulated	formulate	VERB
ejpam-5910	467	14	.	.	PUNCT
ejpam-5910	468	1	numerical	numerical	ADJ
ejpam-5910	468	2	examples	example	NOUN
ejpam-5910	468	3	are	be	AUX
ejpam-5910	468	4	provided	provide	VERB
ejpam-5910	468	5	for	for	ADP
ejpam-5910	468	6	developing	develop	VERB
ejpam-5910	468	7	a	a	DET
ejpam-5910	468	8	cost	cost	NOUN
ejpam-5910	468	9	model	model	NOUN
ejpam-5910	468	10	.	.	PUNCT
ejpam-5910	469	1	numerical	numerical	PROPN
ejpam-5910	469	2	results	result	NOUN
ejpam-5910	469	3	show	show	VERB
ejpam-5910	469	4	that	that	SCONJ
ejpam-5910	469	5	as	as	ADP
ejpam-5910	469	6	the	the	DET
ejpam-5910	469	7	arrival	arrival	NOUN
ejpam-5910	469	8	rate	rate	NOUN
ejpam-5910	469	9	increases	increase	NOUN
ejpam-5910	469	10	,	,	PUNCT
ejpam-5910	469	11	the	the	DET
ejpam-5910	469	12	expected	expect	VERB
ejpam-5910	469	13	waiting	waiting	NOUN
ejpam-5910	469	14	time	time	NOUN
ejpam-5910	469	15	and	and	CCONJ
ejpam-5910	469	16	queue	queue	NOUN
ejpam-5910	469	17	length	length	NOUN
ejpam-5910	469	18	is	be	AUX
ejpam-5910	469	19	increase	increase	NOUN
ejpam-5910	469	20	.	.	PUNCT
ejpam-5910	470	1	when	when	SCONJ
ejpam-5910	470	2	the	the	DET
ejpam-5910	470	3	bulk	bulk	ADJ
ejpam-5910	470	4	service	service	NOUN
ejpam-5910	470	5	rate	rate	NOUN
ejpam-5910	470	6	increases	increase	NOUN
ejpam-5910	470	7	while	while	SCONJ
ejpam-5910	470	8	the	the	DET
ejpam-5910	470	9	low	low	ADJ
ejpam-5910	470	10	-	-	PUNCT
ejpam-5910	470	11	batch	batch	NOUN
ejpam-5910	470	12	service	service	NOUN
ejpam-5910	470	13	rate	rate	NOUN
ejpam-5910	470	14	is	be	AUX
ejpam-5910	470	15	zero	zero	NUM
ejpam-5910	470	16	,	,	PUNCT
ejpam-5910	470	17	the	the	DET
ejpam-5910	470	18	expected	expect	VERB
ejpam-5910	470	19	waiting	waiting	NOUN
ejpam-5910	470	20	time	time	NOUN
ejpam-5910	470	21	and	and	CCONJ
ejpam-5910	470	22	queue	queue	NOUN
ejpam-5910	470	23	length	length	NOUN
ejpam-5910	470	24	decrease	decrease	NOUN
ejpam-5910	470	25	.	.	PUNCT
ejpam-5910	471	1	as	as	ADP
ejpam-5910	471	2	the	the	DET
ejpam-5910	471	3	low	low	ADJ
ejpam-5910	471	4	-	-	PUNCT
ejpam-5910	471	5	batch	batch	NOUN
ejpam-5910	471	6	service	service	NOUN
ejpam-5910	471	7	rate	rate	NOUN
ejpam-5910	471	8	increases	increase	NOUN
ejpam-5910	471	9	steadily	steadily	ADV
ejpam-5910	471	10	,	,	PUNCT
ejpam-5910	471	11	the	the	DET
ejpam-5910	471	12	expected	expect	VERB
ejpam-5910	471	13	waiting	waiting	NOUN
ejpam-5910	471	14	time	time	NOUN
ejpam-5910	471	15	and	and	CCONJ
ejpam-5910	471	16	queue	queue	NOUN
ejpam-5910	471	17	length	length	NOUN
ejpam-5910	471	18	decrease	decrease	NOUN
ejpam-5910	471	19	further	far	ADV
ejpam-5910	471	20	compared	compare	VERB
ejpam-5910	471	21	to	to	ADP
ejpam-5910	471	22	when	when	SCONJ
ejpam-5910	471	23	the	the	DET
ejpam-5910	471	24	low	low	ADJ
ejpam-5910	471	25	-	-	PUNCT
ejpam-5910	471	26	batch	batch	NOUN
ejpam-5910	471	27	service	service	NOUN
ejpam-5910	471	28	rate	rate	NOUN
ejpam-5910	471	29	is	be	AUX
ejpam-5910	471	30	zero	zero	NUM
ejpam-5910	471	31	.	.	PUNCT
ejpam-5910	472	1	“	"	PUNCT
ejpam-5910	472	2	the	the	DET
ejpam-5910	472	3	main	main	ADJ
ejpam-5910	472	4	conclusion	conclusion	NOUN
ejpam-5910	472	5	is	be	AUX
ejpam-5910	472	6	that	that	SCONJ
ejpam-5910	472	7	bulk	bulk	ADJ
ejpam-5910	472	8	service	service	NOUN
ejpam-5910	472	9	with	with	ADP
ejpam-5910	472	10	low	low	ADJ
ejpam-5910	472	11	-	-	PUNCT
ejpam-5910	472	12	batch	batch	NOUN
ejpam-5910	472	13	support	support	NOUN
ejpam-5910	472	14	significantly	significantly	ADV
ejpam-5910	472	15	reduces	reduce	VERB
ejpam-5910	472	16	the	the	DET
ejpam-5910	472	17	expected	expect	VERB
ejpam-5910	472	18	waiting	waiting	NOUN
ejpam-5910	472	19	time	time	NOUN
ejpam-5910	472	20	and	and	CCONJ
ejpam-5910	472	21	queue	queue	NOUN
ejpam-5910	472	22	length	length	NOUN
ejpam-5910	472	23	in	in	ADP
ejpam-5910	472	24	real	real	ADJ
ejpam-5910	472	25	-	-	PUNCT
ejpam-5910	472	26	world	world	NOUN
ejpam-5910	472	27	situations	situation	NOUN
ejpam-5910	472	28	.	.	PUNCT
ejpam-5910	472	29	”	"	PUNCT
ejpam-5910	473	1	this	this	DET
ejpam-5910	473	2	research	research	NOUN
ejpam-5910	473	3	may	may	AUX
ejpam-5910	473	4	be	be	AUX
ejpam-5910	473	5	extended	extend	VERB
ejpam-5910	473	6	in	in	ADP
ejpam-5910	473	7	the	the	DET
ejpam-5910	473	8	future	future	NOUN
ejpam-5910	473	9	to	to	PART
ejpam-5910	473	10	incorporate	incorporate	VERB
ejpam-5910	473	11	a	a	DET
ejpam-5910	473	12	queueing	queueing	NOUN
ejpam-5910	473	13	model	model	NOUN
ejpam-5910	473	14	that	that	PRON
ejpam-5910	473	15	accounts	account	VERB
ejpam-5910	473	16	for	for	ADP
ejpam-5910	473	17	breakdowns	breakdown	NOUN
ejpam-5910	473	18	affecting	affect	VERB
ejpam-5910	473	19	both	both	PRON
ejpam-5910	473	20	bulk	bulk	ADJ
ejpam-5910	473	21	service	service	NOUN
ejpam-5910	473	22	and	and	CCONJ
ejpam-5910	473	23	low	low	ADJ
ejpam-5910	473	24	-	-	PUNCT
ejpam-5910	473	25	batch	batch	NOUN
ejpam-5910	473	26	service	service	NOUN
ejpam-5910	473	27	.	.	PUNCT
ejpam-5910	474	1	further	far	ADV
ejpam-5910	474	2	improving	improve	VERB
ejpam-5910	474	3	efficiency	efficiency	NOUN
ejpam-5910	474	4	and	and	CCONJ
ejpam-5910	474	5	responsiveness	responsiveness	NOUN
ejpam-5910	474	6	inside	inside	ADP
ejpam-5910	474	7	the	the	DET
ejpam-5910	474	8	system	system	NOUN
ejpam-5910	474	9	would	would	AUX
ejpam-5910	474	10	be	be	AUX
ejpam-5910	474	11	the	the	DET
ejpam-5910	474	12	implementation	implementation	NOUN
ejpam-5910	474	13	of	of	ADP
ejpam-5910	474	14	an	an	DET
ejpam-5910	474	15	interrupted	interrupted	ADJ
ejpam-5910	474	16	vacation	vacation	NOUN
ejpam-5910	474	17	system	system	NOUN
ejpam-5910	474	18	with	with	ADP
ejpam-5910	474	19	a	a	DET
ejpam-5910	474	20	set	set	NOUN
ejpam-5910	474	21	-	-	PUNCT
ejpam-5910	474	22	up	up	NOUN
ejpam-5910	474	23	and	and	CCONJ
ejpam-5910	474	24	closedown	closedown	ADJ
ejpam-5910	474	25	time	time	NOUN
ejpam-5910	474	26	.	.	PUNCT
ejpam-5910	475	1	furthermore	furthermore	ADV
ejpam-5910	475	2	,	,	PUNCT
ejpam-5910	475	3	this	this	DET
ejpam-5910	475	4	work	work	NOUN
ejpam-5910	475	5	employs	employ	VERB
ejpam-5910	475	6	advanced	advanced	ADJ
ejpam-5910	475	7	techniques	technique	NOUN
ejpam-5910	475	8	such	such	ADJ
ejpam-5910	475	9	as	as	ADP
ejpam-5910	475	10	anfis	anfis	PROPN
ejpam-5910	475	11	(	(	PUNCT
ejpam-5910	475	12	adaptive	adaptive	ADJ
ejpam-5910	475	13	neuro	neuro	NOUN
ejpam-5910	475	14	-	-	PUNCT
ejpam-5910	475	15	fuzzy	fuzzy	ADJ
ejpam-5910	475	16	inference	inference	NOUN
ejpam-5910	475	17	system	system	NOUN
ejpam-5910	475	18	)	)	PUNCT
ejpam-5910	475	19	to	to	PART
ejpam-5910	475	20	enhance	enhance	VERB
ejpam-5910	475	21	the	the	DET
ejpam-5910	475	22	accuracy	accuracy	NOUN
ejpam-5910	475	23	of	of	ADP
ejpam-5910	475	24	performance	performance	NOUN
ejpam-5910	475	25	evaluation	evaluation	NOUN
ejpam-5910	475	26	through	through	ADP
ejpam-5910	475	27	extensive	extensive	ADJ
ejpam-5910	475	28	comparison	comparison	NOUN
ejpam-5910	475	29	of	of	ADP
ejpam-5910	475	30	numerical	numerical	ADJ
ejpam-5910	475	31	results	result	NOUN
ejpam-5910	475	32	.	.	PUNCT
ejpam-5910	476	1	references	reference	NOUN
ejpam-5910	476	2	[	[	X
ejpam-5910	476	3	1	1	NUM
ejpam-5910	476	4	]	]	SYM
ejpam-5910	476	5	b	b	PROPN
ejpam-5910	476	6	t	t	PROPN
ejpam-5910	476	7	doshi	doshi	PROPN
ejpam-5910	476	8	.	.	PUNCT
ejpam-5910	477	1	queueing	queue	VERB
ejpam-5910	477	2	systems	system	NOUN
ejpam-5910	477	3	with	with	ADP
ejpam-5910	477	4	vacations	vacation	NOUN
ejpam-5910	477	5	:	:	PUNCT
ejpam-5910	477	6	a	a	DET
ejpam-5910	477	7	survey	survey	NOUN
ejpam-5910	477	8	.	.	PUNCT
ejpam-5910	478	1	queueing	queue	VERB
ejpam-5910	478	2	systems	system	NOUN
ejpam-5910	478	3	,	,	PUNCT
ejpam-5910	478	4	1:29–66	1:29–66	NUM
ejpam-5910	478	5	,	,	PUNCT
ejpam-5910	478	6	1986	1986	NUM
ejpam-5910	478	7	.	.	PUNCT
ejpam-5910	479	1	[	[	X
ejpam-5910	479	2	2	2	NUM
ejpam-5910	479	3	]	]	X
ejpam-5910	479	4	m	m	PROPN
ejpam-5910	479	5	f	f	PROPN
ejpam-5910	479	6	neuts	neut	NOUN
ejpam-5910	479	7	.	.	PUNCT
ejpam-5910	480	1	a	a	DET
ejpam-5910	480	2	general	general	ADJ
ejpam-5910	480	3	class	class	NOUN
ejpam-5910	480	4	of	of	ADP
ejpam-5910	480	5	bulk	bulk	ADJ
ejpam-5910	480	6	queues	queue	NOUN
ejpam-5910	480	7	with	with	ADP
ejpam-5910	480	8	poisson	poisson	PROPN
ejpam-5910	480	9	input	input	NOUN
ejpam-5910	480	10	.	.	PUNCT
ejpam-5910	481	1	the	the	DET
ejpam-5910	481	2	annals	annal	NOUN
ejpam-5910	481	3	of	of	ADP
ejpam-5910	481	4	mathematical	mathematical	ADJ
ejpam-5910	481	5	statistics	statistic	NOUN
ejpam-5910	481	6	,	,	PUNCT
ejpam-5910	481	7	38(3):759–770	38(3):759–770	NUM
ejpam-5910	481	8	,	,	PUNCT
ejpam-5910	481	9	1967	1967	NUM
ejpam-5910	481	10	.	.	PUNCT
ejpam-5910	482	1	[	[	X
ejpam-5910	482	2	3	3	X
ejpam-5910	482	3	]	]	X
ejpam-5910	482	4	h	h	PROPN
ejpam-5910	482	5	w	w	PROPN
ejpam-5910	482	6	lee	lee	PROPN
ejpam-5910	482	7	s	s	PROPN
ejpam-5910	482	8	s	s	PROPN
ejpam-5910	482	9	lee	lee	PROPN
ejpam-5910	482	10	j	j	PROPN
ejpam-5910	482	11	o	o	PROPN
ejpam-5910	482	12	park	park	NOUN
ejpam-5910	482	13	and	and	CCONJ
ejpam-5910	482	14	k	k	PROPN
ejpam-5910	482	15	c	c	PROPN
ejpam-5910	482	16	chae	chae	PROPN
ejpam-5910	482	17	.	.	PUNCT
ejpam-5910	483	1	analysis	analysis	NOUN
ejpam-5910	483	2	of	of	ADP
ejpam-5910	483	3	themx	themx	NOUN
ejpam-5910	483	4	/	/	SYM
ejpam-5910	483	5	g/1	g/1	NOUN
ejpam-5910	483	6	queue	queue	NOUN
ejpam-5910	483	7	byn	byn	PROPN
ejpam-5910	483	8	-policy	-policy	PROPN
ejpam-5910	483	9	and	and	CCONJ
ejpam-5910	483	10	multiple	multiple	ADJ
ejpam-5910	483	11	vacations	vacation	NOUN
ejpam-5910	483	12	.	.	PUNCT
ejpam-5910	484	1	journal	journal	NOUN
ejpam-5910	484	2	of	of	ADP
ejpam-5910	484	3	applied	apply	VERB
ejpam-5910	484	4	probability	probability	NOUN
ejpam-5910	484	5	,	,	PUNCT
ejpam-5910	484	6	31(2):476–496	31(2):476–496	NOUN
ejpam-5910	484	7	,	,	PUNCT
ejpam-5910	484	8	1994	1994	NUM
ejpam-5910	484	9	.	.	PUNCT
ejpam-5910	485	1	[	[	X
ejpam-5910	485	2	4	4	NUM
ejpam-5910	485	3	]	]	X
ejpam-5910	485	4	d	d	X
ejpam-5910	485	5	r	r	NOUN
ejpam-5910	485	6	cox	cox	PROPN
ejpam-5910	485	7	.	.	PUNCT
ejpam-5910	486	1	the	the	DET
ejpam-5910	486	2	analysis	analysis	NOUN
ejpam-5910	486	3	of	of	ADP
ejpam-5910	486	4	non	non	ADJ
ejpam-5910	486	5	-	-	ADJ
ejpam-5910	486	6	markovian	markovian	ADJ
ejpam-5910	486	7	stochastic	stochastic	NOUN
ejpam-5910	486	8	processes	process	NOUN
ejpam-5910	486	9	by	by	ADP
ejpam-5910	486	10	the	the	DET
ejpam-5910	486	11	inclusion	inclusion	NOUN
ejpam-5910	486	12	of	of	ADP
ejpam-5910	486	13	karpagam	karpagam	PROPN
ejpam-5910	486	14	s	s	PROPN
ejpam-5910	486	15	,	,	PUNCT
ejpam-5910	486	16	aarthy	aarthy	ADJ
ejpam-5910	486	17	n	n	CCONJ
ejpam-5910	486	18	,	,	PUNCT
ejpam-5910	486	19	g.	g.	PROPN
ejpam-5910	486	20	k.	k.	PROPN
ejpam-5910	486	21	gupta	gupta	PROPN
ejpam-5910	486	22	/	/	SYM
ejpam-5910	486	23	eur	eur	PROPN
ejpam-5910	486	24	.	.	PUNCT
ejpam-5910	487	1	j.	j.	PROPN
ejpam-5910	487	2	pure	pure	PROPN
ejpam-5910	487	3	appl	appl	PROPN
ejpam-5910	487	4	.	.	PROPN
ejpam-5910	487	5	math	math	PROPN
ejpam-5910	487	6	,	,	PUNCT
ejpam-5910	487	7	18	18	NUM
ejpam-5910	487	8	(	(	PUNCT
ejpam-5910	487	9	3	3	NUM
ejpam-5910	487	10	)	)	PUNCT
ejpam-5910	487	11	(	(	PUNCT
ejpam-5910	487	12	2025	2025	NUM
ejpam-5910	487	13	)	)	PUNCT
ejpam-5910	487	14	,	,	PUNCT
ejpam-5910	487	15	5910	5910	NUM
ejpam-5910	487	16	27	27	NUM
ejpam-5910	487	17	of	of	ADP
ejpam-5910	487	18	28	28	NUM
ejpam-5910	487	19	supplementary	supplementary	ADJ
ejpam-5910	487	20	variables	variable	NOUN
ejpam-5910	487	21	.	.	PUNCT
ejpam-5910	488	1	mathematical	mathematical	ADJ
ejpam-5910	488	2	proceedings	proceeding	NOUN
ejpam-5910	488	3	of	of	ADP
ejpam-5910	488	4	the	the	DET
ejpam-5910	488	5	cambridge	cambridge	PROPN
ejpam-5910	488	6	philosophical	philosophical	ADJ
ejpam-5910	488	7	society	society	NOUN
ejpam-5910	488	8	,	,	PUNCT
ejpam-5910	488	9	51(3):433–441	51(3):433–441	NUM
ejpam-5910	488	10	,	,	PUNCT
ejpam-5910	488	11	1955	1955	NUM
ejpam-5910	488	12	.	.	PUNCT
ejpam-5910	489	1	[	[	X
ejpam-5910	489	2	5	5	NUM
ejpam-5910	489	3	]	]	X
ejpam-5910	489	4	h	h	PROPN
ejpam-5910	489	5	s	s	PROPN
ejpam-5910	489	6	lee	lee	PROPN
ejpam-5910	489	7	.	.	PROPN
ejpam-5910	490	1	steady	steady	ADJ
ejpam-5910	490	2	state	state	NOUN
ejpam-5910	490	3	probabilities	probability	NOUN
ejpam-5910	490	4	for	for	ADP
ejpam-5910	490	5	the	the	DET
ejpam-5910	490	6	server	server	NOUN
ejpam-5910	490	7	vacation	vacation	NOUN
ejpam-5910	490	8	model	model	NOUN
ejpam-5910	490	9	with	with	ADP
ejpam-5910	490	10	group	group	NOUN
ejpam-5910	490	11	arrivals	arrival	NOUN
ejpam-5910	490	12	and	and	CCONJ
ejpam-5910	490	13	under	under	ADP
ejpam-5910	490	14	control	control	NOUN
ejpam-5910	490	15	operation	operation	NOUN
ejpam-5910	490	16	policy	policy	NOUN
ejpam-5910	490	17	.	.	PUNCT
ejpam-5910	491	1	journal	journal	NOUN
ejpam-5910	491	2	of	of	ADP
ejpam-5910	491	3	the	the	DET
ejpam-5910	491	4	korean	korean	PROPN
ejpam-5910	491	5	mathematical	mathematical	ADJ
ejpam-5910	491	6	society	society	NOUN
ejpam-5910	491	7	,	,	PUNCT
ejpam-5910	491	8	16:36–48	16:36–48	PROPN
ejpam-5910	491	9	,	,	PUNCT
ejpam-5910	491	10	1991	1991	NUM
ejpam-5910	491	11	.	.	PUNCT
ejpam-5910	492	1	[	[	X
ejpam-5910	492	2	6	6	NUM
ejpam-5910	492	3	]	]	SYM
ejpam-5910	492	4	g	g	PROPN
ejpam-5910	492	5	v	v	PROPN
ejpam-5910	492	6	krishna	krishna	PROPN
ejpam-5910	492	7	reddy	reddy	PROPN
ejpam-5910	492	8	r	r	NOUN
ejpam-5910	492	9	nadarajan	nadarajan	NOUN
ejpam-5910	492	10	and	and	CCONJ
ejpam-5910	492	11	r	r	NOUN
ejpam-5910	492	12	arumuganathan	arumuganathan	NOUN
ejpam-5910	492	13	.	.	PUNCT
ejpam-5910	493	1	analysis	analysis	NOUN
ejpam-5910	493	2	of	of	ADP
ejpam-5910	493	3	a	a	DET
ejpam-5910	493	4	bulk	bulk	ADJ
ejpam-5910	493	5	queue	queue	NOUN
ejpam-5910	493	6	with	with	ADP
ejpam-5910	493	7	n	n	CCONJ
ejpam-5910	493	8	-	-	PUNCT
ejpam-5910	493	9	policy	policy	NOUN
ejpam-5910	493	10	multiple	multiple	ADJ
ejpam-5910	493	11	vacations	vacation	NOUN
ejpam-5910	493	12	and	and	CCONJ
ejpam-5910	493	13	setup	setup	NOUN
ejpam-5910	493	14	times	time	NOUN
ejpam-5910	493	15	.	.	PUNCT
ejpam-5910	494	1	computers	computer	NOUN
ejpam-5910	494	2	operations	operation	NOUN
ejpam-5910	494	3	research	research	NOUN
ejpam-5910	494	4	,	,	PUNCT
ejpam-5910	494	5	25(11):957–967	25(11):957–967	PROPN
ejpam-5910	494	6	,	,	PUNCT
ejpam-5910	494	7	1998	1998	NUM
ejpam-5910	494	8	.	.	PUNCT
ejpam-5910	495	1	[	[	X
ejpam-5910	495	2	7	7	NUM
ejpam-5910	495	3	]	]	X
ejpam-5910	495	4	r	r	NOUN
ejpam-5910	495	5	arumuganathan	arumuganathan	ADV
ejpam-5910	495	6	and	and	CCONJ
ejpam-5910	495	7	s	s	VERB
ejpam-5910	495	8	jeyakumar	jeyakumar	PROPN
ejpam-5910	495	9	.	.	PUNCT
ejpam-5910	496	1	steady	steady	ADJ
ejpam-5910	496	2	state	state	NOUN
ejpam-5910	496	3	analysis	analysis	NOUN
ejpam-5910	496	4	of	of	ADP
ejpam-5910	496	5	a	a	DET
ejpam-5910	496	6	bulk	bulk	ADJ
ejpam-5910	496	7	queue	queue	NOUN
ejpam-5910	496	8	with	with	ADP
ejpam-5910	496	9	multiple	multiple	ADJ
ejpam-5910	496	10	vacations	vacation	NOUN
ejpam-5910	496	11	,	,	PUNCT
ejpam-5910	496	12	setup	setup	NOUN
ejpam-5910	496	13	times	times	PROPN
ejpam-5910	496	14	withn	withn	PROPN
ejpam-5910	496	15	-policy	-policy	PROPN
ejpam-5910	496	16	and	and	CCONJ
ejpam-5910	496	17	closedown	closedown	PROPN
ejpam-5910	496	18	times	time	NOUN
ejpam-5910	496	19	.	.	PUNCT
ejpam-5910	497	1	applied	apply	VERB
ejpam-5910	497	2	mathematical	mathematical	ADJ
ejpam-5910	497	3	modelling	modelling	NOUN
ejpam-5910	497	4	,	,	PUNCT
ejpam-5910	497	5	29(10):972–986	29(10):972–986	NUM
ejpam-5910	497	6	,	,	PUNCT
ejpam-5910	497	7	2005	2005	NUM
ejpam-5910	497	8	.	.	PUNCT
ejpam-5910	498	1	[	[	X
ejpam-5910	498	2	8	8	NUM
ejpam-5910	498	3	]	]	SYM
ejpam-5910	498	4	s	s	X
ejpam-5910	498	5	jeyakumar	jeyakumar	PROPN
ejpam-5910	498	6	and	and	CCONJ
ejpam-5910	498	7	b	b	NOUN
ejpam-5910	498	8	senthilnathan	senthilnathan	ADJ
ejpam-5910	498	9	.	.	PUNCT
ejpam-5910	499	1	a	a	DET
ejpam-5910	499	2	study	study	NOUN
ejpam-5910	499	3	on	on	ADP
ejpam-5910	499	4	the	the	DET
ejpam-5910	499	5	behaviour	behaviour	NOUN
ejpam-5910	499	6	of	of	ADP
ejpam-5910	499	7	the	the	DET
ejpam-5910	499	8	server	server	NOUN
ejpam-5910	499	9	breakdown	breakdown	NOUN
ejpam-5910	499	10	without	without	ADP
ejpam-5910	499	11	interruption	interruption	NOUN
ejpam-5910	499	12	in	in	ADP
ejpam-5910	499	13	a	a	DET
ejpam-5910	499	14	mx	mx	PROPN
ejpam-5910	499	15	/	/	SYM
ejpam-5910	499	16	g(a	g(a	PROPN
ejpam-5910	499	17	,	,	PUNCT
ejpam-5910	499	18	b)/1	b)/1	PROPN
ejpam-5910	499	19	queueing	queue	VERB
ejpam-5910	499	20	system	system	NOUN
ejpam-5910	499	21	with	with	ADP
ejpam-5910	499	22	multiple	multiple	ADJ
ejpam-5910	499	23	vacations	vacation	NOUN
ejpam-5910	499	24	and	and	CCONJ
ejpam-5910	499	25	closedown	closedown	ADJ
ejpam-5910	499	26	time	time	NOUN
ejpam-5910	499	27	.	.	PUNCT
ejpam-5910	500	1	applied	apply	VERB
ejpam-5910	500	2	mathematics	mathematic	NOUN
ejpam-5910	500	3	and	and	CCONJ
ejpam-5910	500	4	computation	computation	NOUN
ejpam-5910	500	5	,	,	PUNCT
ejpam-5910	500	6	219(5):2618–2633	219(5):2618–2633	NOUN
ejpam-5910	500	7	,	,	PUNCT
ejpam-5910	500	8	2012	2012	NUM
ejpam-5910	500	9	.	.	PUNCT
ejpam-5910	501	1	[	[	X
ejpam-5910	501	2	9	9	NUM
ejpam-5910	501	3	]	]	X
ejpam-5910	501	4	k	k	PROPN
ejpam-5910	501	5	s	s	X
ejpam-5910	501	6	ramaswami	ramaswami	NOUN
ejpam-5910	501	7	and	and	CCONJ
ejpam-5910	501	8	s	s	NOUN
ejpam-5910	501	9	jeyakumar	jeyakumar	PROPN
ejpam-5910	501	10	.	.	PUNCT
ejpam-5910	502	1	non	non	ADJ
ejpam-5910	502	2	-	-	ADJ
ejpam-5910	502	3	markovian	markovian	ADJ
ejpam-5910	502	4	bulk	bulk	NOUN
ejpam-5910	502	5	queueing	queue	VERB
ejpam-5910	502	6	system	system	NOUN
ejpam-5910	502	7	with	with	ADP
ejpam-5910	502	8	state	state	NOUN
ejpam-5910	502	9	dependent	dependent	ADJ
ejpam-5910	502	10	arrivals	arrival	NOUN
ejpam-5910	502	11	and	and	CCONJ
ejpam-5910	502	12	multiple	multiple	ADJ
ejpam-5910	502	13	vacations	vacation	NOUN
ejpam-5910	502	14	–	–	PUNCT
ejpam-5910	502	15	a	a	DET
ejpam-5910	502	16	simulation	simulation	NOUN
ejpam-5910	502	17	approach	approach	NOUN
ejpam-5910	502	18	.	.	PUNCT
ejpam-5910	503	1	international	international	ADJ
ejpam-5910	503	2	journal	journal	PROPN
ejpam-5910	503	3	of	of	ADP
ejpam-5910	503	4	mathematics	mathematic	NOUN
ejpam-5910	503	5	in	in	ADP
ejpam-5910	503	6	operational	operational	ADJ
ejpam-5910	503	7	research	research	NOUN
ejpam-5910	503	8	,	,	PUNCT
ejpam-5910	503	9	6(3):344–356	6(3):344–356	NUM
ejpam-5910	503	10	,	,	PUNCT
ejpam-5910	503	11	2020	2020	NUM
ejpam-5910	503	12	.	.	PUNCT
ejpam-5910	504	1	[	[	X
ejpam-5910	504	2	10	10	NUM
ejpam-5910	504	3	]	]	X
ejpam-5910	504	4	m	m	NOUN
ejpam-5910	504	5	haridass	haridass	NOUN
ejpam-5910	504	6	and	and	CCONJ
ejpam-5910	504	7	r	r	NOUN
ejpam-5910	504	8	arumuganathan	arumuganathan	NOUN
ejpam-5910	504	9	.	.	PUNCT
ejpam-5910	505	1	analysis	analysis	NOUN
ejpam-5910	505	2	of	of	ADP
ejpam-5910	505	3	a	a	DET
ejpam-5910	505	4	single	single	ADJ
ejpam-5910	505	5	server	server	NOUN
ejpam-5910	505	6	batch	batch	NOUN
ejpam-5910	505	7	arrival	arrival	NOUN
ejpam-5910	505	8	retrial	retrial	NOUN
ejpam-5910	505	9	queueing	queue	VERB
ejpam-5910	505	10	system	system	NOUN
ejpam-5910	505	11	with	with	ADP
ejpam-5910	505	12	modified	modify	VERB
ejpam-5910	505	13	vacations	vacation	NOUN
ejpam-5910	505	14	and	and	CCONJ
ejpam-5910	505	15	n	n	PRON
ejpam-5910	505	16	-policy	-policy	PROPN
ejpam-5910	505	17	.	.	PUNCT
ejpam-5910	506	1	rairo	rairo	PROPN
ejpam-5910	506	2	-	-	PUNCT
ejpam-5910	506	3	operations	operation	NOUN
ejpam-5910	506	4	research	research	NOUN
ejpam-5910	506	5	,	,	PUNCT
ejpam-5910	506	6	49(2):279–296	49(2):279–296	PROPN
ejpam-5910	506	7	,	,	PUNCT
ejpam-5910	506	8	2015	2015	NUM
ejpam-5910	506	9	.	.	PUNCT
ejpam-5910	507	1	[	[	X
ejpam-5910	507	2	11	11	NUM
ejpam-5910	507	3	]	]	SYM
ejpam-5910	507	4	g	g	NOUN
ejpam-5910	507	5	ayyappan	ayyappan	NOUN
ejpam-5910	507	6	and	and	CCONJ
ejpam-5910	507	7	s	s	VERB
ejpam-5910	507	8	karpagam	karpagam	VERB
ejpam-5910	507	9	.	.	PUNCT
ejpam-5910	508	1	an	an	DET
ejpam-5910	508	2	mx	mx	PROPN
ejpam-5910	508	3	/	/	SYM
ejpam-5910	508	4	g(a	g(a	PROPN
ejpam-5910	508	5	,	,	PUNCT
ejpam-5910	508	6	b)/1	b)/1	PROPN
ejpam-5910	508	7	queueing	queue	VERB
ejpam-5910	508	8	system	system	NOUN
ejpam-5910	508	9	with	with	ADP
ejpam-5910	508	10	breakdown	breakdown	NOUN
ejpam-5910	508	11	and	and	CCONJ
ejpam-5910	508	12	repair	repair	NOUN
ejpam-5910	508	13	,	,	PUNCT
ejpam-5910	508	14	stand	stand	VERB
ejpam-5910	508	15	-	-	PUNCT
ejpam-5910	508	16	by	by	ADP
ejpam-5910	508	17	server	server	NOUN
ejpam-5910	508	18	,	,	PUNCT
ejpam-5910	508	19	multiple	multiple	ADJ
ejpam-5910	508	20	vacation	vacation	NOUN
ejpam-5910	508	21	and	and	CCONJ
ejpam-5910	508	22	control	control	NOUN
ejpam-5910	508	23	policy	policy	NOUN
ejpam-5910	508	24	on	on	ADP
ejpam-5910	508	25	request	request	NOUN
ejpam-5910	508	26	for	for	ADP
ejpam-5910	508	27	reservice	reservice	NOUN
ejpam-5910	508	28	.	.	PUNCT
ejpam-5910	509	1	mathematics	mathematic	NOUN
ejpam-5910	509	2	,	,	PUNCT
ejpam-5910	509	3	6(6):101	6(6):101	NUM
ejpam-5910	509	4	,	,	PUNCT
ejpam-5910	509	5	2018	2018	NUM
ejpam-5910	509	6	.	.	PUNCT
ejpam-5910	510	1	[	[	X
ejpam-5910	510	2	12	12	NUM
ejpam-5910	510	3	]	]	X
ejpam-5910	510	4	g	g	NOUN
ejpam-5910	510	5	ayyappan	ayyappan	NOUN
ejpam-5910	510	6	and	and	CCONJ
ejpam-5910	510	7	m	m	PROPN
ejpam-5910	510	8	nirmala	nirmala	PROPN
ejpam-5910	510	9	.	.	PUNCT
ejpam-5910	511	1	anmx	anmx	PROPN
ejpam-5910	511	2	/	/	SYM
ejpam-5910	511	3	g(a	g(a	PROPN
ejpam-5910	511	4	,	,	PUNCT
ejpam-5910	511	5	b)/1	b)/1	PROPN
ejpam-5910	511	6	queue	queue	NOUN
ejpam-5910	511	7	with	with	ADP
ejpam-5910	511	8	breakdown	breakdown	NOUN
ejpam-5910	511	9	and	and	CCONJ
ejpam-5910	511	10	delay	delay	VERB
ejpam-5910	511	11	time	time	NOUN
ejpam-5910	511	12	to	to	ADP
ejpam-5910	511	13	two	two	NUM
ejpam-5910	511	14	phase	phase	NOUN
ejpam-5910	511	15	repair	repair	NOUN
ejpam-5910	511	16	under	under	ADP
ejpam-5910	511	17	multiple	multiple	ADJ
ejpam-5910	511	18	vacation	vacation	NOUN
ejpam-5910	511	19	.	.	PUNCT
ejpam-5910	512	1	applications	application	NOUN
ejpam-5910	512	2	and	and	CCONJ
ejpam-5910	512	3	applied	apply	VERB
ejpam-5910	512	4	mathematics	mathematic	NOUN
ejpam-5910	512	5	:	:	PUNCT
ejpam-5910	512	6	an	an	DET
ejpam-5910	512	7	international	international	ADJ
ejpam-5910	512	8	journal	journal	NOUN
ejpam-5910	512	9	(	(	PUNCT
ejpam-5910	512	10	aam	aam	PROPN
ejpam-5910	512	11	)	)	PUNCT
ejpam-5910	512	12	,	,	PUNCT
ejpam-5910	512	13	13(2):5	13(2):5	NUM
ejpam-5910	512	14	,	,	PUNCT
ejpam-5910	512	15	2018	2018	NUM
ejpam-5910	512	16	.	.	PUNCT
ejpam-5910	513	1	[	[	X
ejpam-5910	513	2	13	13	NUM
ejpam-5910	513	3	]	]	SYM
ejpam-5910	513	4	v	v	NOUN
ejpam-5910	513	5	m	m	PROPN
ejpam-5910	513	6	chandrasekaran	chandrasekaran	VERB
ejpam-5910	513	7	s	s	PROPN
ejpam-5910	513	8	p	p	PROPN
ejpam-5910	513	9	niranjan	niranjan	PROPN
ejpam-5910	513	10	and	and	CCONJ
ejpam-5910	513	11	k.	k.	PROPN
ejpam-5910	513	12	indhira	indhira	PROPN
ejpam-5910	513	13	.	.	PUNCT
ejpam-5910	514	1	phase	phase	NOUN
ejpam-5910	514	2	dependent	dependent	ADJ
ejpam-5910	514	3	breakdown	breakdown	NOUN
ejpam-5910	514	4	in	in	ADP
ejpam-5910	514	5	bulk	bulk	ADJ
ejpam-5910	514	6	arrival	arrival	NOUN
ejpam-5910	514	7	queueing	queue	VERB
ejpam-5910	514	8	system	system	NOUN
ejpam-5910	514	9	with	with	ADP
ejpam-5910	514	10	vacation	vacation	NOUN
ejpam-5910	514	11	break	break	NOUN
ejpam-5910	514	12	-	-	PUNCT
ejpam-5910	514	13	off	off	NOUN
ejpam-5910	514	14	.	.	PUNCT
ejpam-5910	515	1	international	international	ADJ
ejpam-5910	515	2	journal	journal	PROPN
ejpam-5910	515	3	of	of	ADP
ejpam-5910	515	4	data	datum	NOUN
ejpam-5910	515	5	analysis	analysis	NOUN
ejpam-5910	515	6	techniques	technique	NOUN
ejpam-5910	515	7	and	and	CCONJ
ejpam-5910	515	8	strategies	strategy	NOUN
ejpam-5910	515	9	,	,	PUNCT
ejpam-5910	515	10	12(2):127–154	12(2):127–154	NOUN
ejpam-5910	515	11	,	,	PUNCT
ejpam-5910	515	12	2022	2022	NUM
ejpam-5910	515	13	.	.	PUNCT
ejpam-5910	516	1	[	[	X
ejpam-5910	516	2	14	14	NUM
ejpam-5910	516	3	]	]	SYM
ejpam-5910	516	4	v	v	X
ejpam-5910	516	5	karthick	karthick	NOUN
ejpam-5910	516	6	and	and	CCONJ
ejpam-5910	516	7	v	v	ADP
ejpam-5910	516	8	suvitha	suvitha	PROPN
ejpam-5910	516	9	.	.	PUNCT
ejpam-5910	517	1	time	time	NOUN
ejpam-5910	517	2	-	-	PUNCT
ejpam-5910	517	3	dependent	dependent	ADJ
ejpam-5910	517	4	behaviour	behaviour	NOUN
ejpam-5910	517	5	of	of	ADP
ejpam-5910	517	6	an	an	DET
ejpam-5910	517	7	m	m	PROPN
ejpam-5910	517	8	/	/	SYM
ejpam-5910	517	9	m/3	m/3	NUM
ejpam-5910	517	10	heterogeneous	heterogeneous	ADJ
ejpam-5910	517	11	server	server	NOUN
ejpam-5910	517	12	queueing	queue	VERB
ejpam-5910	517	13	system	system	NOUN
ejpam-5910	517	14	with	with	ADP
ejpam-5910	517	15	multiple	multiple	ADJ
ejpam-5910	517	16	vacations	vacation	NOUN
ejpam-5910	517	17	subject	subject	ADJ
ejpam-5910	517	18	to	to	ADP
ejpam-5910	517	19	system	system	NOUN
ejpam-5910	517	20	disaster	disaster	NOUN
ejpam-5910	517	21	.	.	PUNCT
ejpam-5910	518	1	mathematics	mathematic	NOUN
ejpam-5910	518	2	in	in	ADP
ejpam-5910	518	3	applied	apply	VERB
ejpam-5910	518	4	sciences	sciences	PROPN
ejpam-5910	518	5	&	&	CCONJ
ejpam-5910	518	6	engineering	engineering	PROPN
ejpam-5910	518	7	,	,	PUNCT
ejpam-5910	518	8	5(3	5(3	NUM
ejpam-5910	518	9	)	)	PUNCT
ejpam-5910	518	10	,	,	PUNCT
ejpam-5910	518	11	2024	2024	NUM
ejpam-5910	518	12	.	.	PUNCT
ejpam-5910	519	1	[	[	X
ejpam-5910	519	2	15	15	NUM
ejpam-5910	519	3	]	]	SYM
ejpam-5910	519	4	v	v	X
ejpam-5910	519	5	karthick	karthick	NOUN
ejpam-5910	519	6	and	and	CCONJ
ejpam-5910	519	7	v	v	ADP
ejpam-5910	519	8	suvitha	suvitha	NOUN
ejpam-5910	519	9	.	.	PUNCT
ejpam-5910	520	1	analysis	analysis	NOUN
ejpam-5910	520	2	of	of	ADP
ejpam-5910	520	3	heterogeneous	heterogeneous	ADJ
ejpam-5910	520	4	two	two	NUM
ejpam-5910	520	5	server	server	NOUN
ejpam-5910	520	6	queueing	queue	VERB
ejpam-5910	520	7	system	system	NOUN
ejpam-5910	520	8	with	with	ADP
ejpam-5910	520	9	multiple	multiple	ADJ
ejpam-5910	520	10	working	work	VERB
ejpam-5910	520	11	vacations	vacation	NOUN
ejpam-5910	520	12	and	and	CCONJ
ejpam-5910	520	13	server	server	NOUN
ejpam-5910	520	14	breakdowns	breakdown	NOUN
ejpam-5910	520	15	.	.	PUNCT
ejpam-5910	521	1	yugoslav	yugoslav	ADJ
ejpam-5910	521	2	journal	journal	PROPN
ejpam-5910	521	3	of	of	ADP
ejpam-5910	521	4	operations	operation	NOUN
ejpam-5910	521	5	research	research	NOUN
ejpam-5910	521	6	,	,	PUNCT
ejpam-5910	521	7	35(1):163–178	35(1):163–178	NUM
ejpam-5910	521	8	,	,	PUNCT
ejpam-5910	521	9	2025	2025	NUM
ejpam-5910	521	10	.	.	PUNCT
ejpam-5910	522	1	[	[	X
ejpam-5910	522	2	16	16	NUM
ejpam-5910	522	3	]	]	SYM
ejpam-5910	522	4	s	s	NOUN
ejpam-5910	522	5	r	r	NOUN
ejpam-5910	522	6	chakravarthy	chakravarthy	ADJ
ejpam-5910	522	7	and	and	CCONJ
ejpam-5910	522	8	r	r	PROPN
ejpam-5910	522	9	kulshrestha	kulshrestha	PROPN
ejpam-5910	522	10	.	.	PUNCT
ejpam-5910	523	1	a	a	DET
ejpam-5910	523	2	queueing	queue	VERB
ejpam-5910	523	3	model	model	NOUN
ejpam-5910	523	4	with	with	ADP
ejpam-5910	523	5	server	server	NOUN
ejpam-5910	523	6	breakdowns	breakdown	NOUN
ejpam-5910	523	7	,	,	PUNCT
ejpam-5910	523	8	repairs	repair	NOUN
ejpam-5910	523	9	,	,	PUNCT
ejpam-5910	523	10	vacations	vacation	NOUN
ejpam-5910	523	11	,	,	PUNCT
ejpam-5910	523	12	and	and	CCONJ
ejpam-5910	523	13	backup	backup	ADJ
ejpam-5910	523	14	server	server	NOUN
ejpam-5910	523	15	.	.	PUNCT
ejpam-5910	524	1	operations	operation	NOUN
ejpam-5910	524	2	research	research	NOUN
ejpam-5910	524	3	perspectives	perspective	NOUN
ejpam-5910	524	4	,	,	PUNCT
ejpam-5910	524	5	7:100131	7:100131	NUM
ejpam-5910	524	6	,	,	PUNCT
ejpam-5910	524	7	2020	2020	NUM
ejpam-5910	524	8	.	.	PUNCT
ejpam-5910	525	1	[	[	X
ejpam-5910	525	2	17	17	NUM
ejpam-5910	525	3	]	]	X
ejpam-5910	525	4	r	r	NOUN
ejpam-5910	525	5	p	p	PROPN
ejpam-5910	525	6	nithya	nithya	PROPN
ejpam-5910	525	7	and	and	CCONJ
ejpam-5910	525	8	m	m	NOUN
ejpam-5910	525	9	haridass	haridass	NOUN
ejpam-5910	525	10	.	.	PUNCT
ejpam-5910	526	1	modelling	modelling	NOUN
ejpam-5910	526	2	and	and	CCONJ
ejpam-5910	526	3	simulation	simulation	NOUN
ejpam-5910	526	4	analysis	analysis	NOUN
ejpam-5910	526	5	of	of	ADP
ejpam-5910	526	6	a	a	DET
ejpam-5910	526	7	bulk	bulk	ADJ
ejpam-5910	526	8	queueing	queue	VERB
ejpam-5910	526	9	system	system	NOUN
ejpam-5910	526	10	.	.	PUNCT
ejpam-5910	527	1	kybernetes	kybernete	NOUN
ejpam-5910	527	2	,	,	PUNCT
ejpam-5910	527	3	50(2):263–283	50(2):263–283	NUM
ejpam-5910	527	4	,	,	PUNCT
ejpam-5910	527	5	2020	2020	NUM
ejpam-5910	527	6	.	.	PUNCT
ejpam-5910	528	1	[	[	X
ejpam-5910	528	2	18	18	NUM
ejpam-5910	528	3	]	]	X
ejpam-5910	528	4	p	p	X
ejpam-5910	528	5	v	v	NUM
ejpam-5910	528	6	laxmi	laxmi	NOUN
ejpam-5910	528	7	and	and	CCONJ
ejpam-5910	528	8	a	a	DET
ejpam-5910	528	9	a	a	DET
ejpam-5910	528	10	george	george	NOUN
ejpam-5910	528	11	.	.	PUNCT
ejpam-5910	529	1	transient	transient	VERB
ejpam-5910	529	2	and	and	CCONJ
ejpam-5910	529	3	steady	steady	ADJ
ejpam-5910	529	4	state	state	NOUN
ejpam-5910	529	5	analysis	analysis	NOUN
ejpam-5910	529	6	of	of	ADP
ejpam-5910	529	7	m	m	PROPN
ejpam-5910	529	8	/	/	SYM
ejpam-5910	529	9	m	m	VERB
ejpam-5910	529	10	(	(	PUNCT
ejpam-5910	530	1	[	[	X
ejpam-5910	530	2	b])/1	b])/1	X
ejpam-5910	530	3	queue	queue	NOUN
ejpam-5910	530	4	with	with	ADP
ejpam-5910	530	5	second	second	ADJ
ejpam-5910	530	6	optional	optional	ADJ
ejpam-5910	530	7	service	service	NOUN
ejpam-5910	530	8	.	.	PUNCT
ejpam-5910	531	1	journal	journal	PROPN
ejpam-5910	531	2	of	of	ADP
ejpam-5910	531	3	industrial	industrial	ADJ
ejpam-5910	531	4	and	and	CCONJ
ejpam-5910	531	5	production	production	NOUN
ejpam-5910	531	6	engineering	engineering	NOUN
ejpam-5910	531	7	,	,	PUNCT
ejpam-5910	531	8	39(4):306–316	39(4):306–316	PROPN
ejpam-5910	531	9	,	,	PUNCT
ejpam-5910	531	10	2021	2021	NUM
ejpam-5910	531	11	.	.	PUNCT
ejpam-5910	532	1	karpagam	karpagam	PROPN
ejpam-5910	532	2	s	s	PROPN
ejpam-5910	532	3	,	,	PUNCT
ejpam-5910	532	4	aarthy	aarthy	ADJ
ejpam-5910	532	5	n	n	CCONJ
ejpam-5910	532	6	,	,	PUNCT
ejpam-5910	532	7	g.	g.	PROPN
ejpam-5910	532	8	k.	k.	PROPN
ejpam-5910	532	9	gupta	gupta	PROPN
ejpam-5910	532	10	/	/	SYM
ejpam-5910	532	11	eur	eur	PROPN
ejpam-5910	532	12	.	.	PUNCT
ejpam-5910	533	1	j.	j.	PROPN
ejpam-5910	533	2	pure	pure	PROPN
ejpam-5910	533	3	appl	appl	PROPN
ejpam-5910	533	4	.	.	PROPN
ejpam-5910	533	5	math	math	PROPN
ejpam-5910	533	6	,	,	PUNCT
ejpam-5910	533	7	18	18	NUM
ejpam-5910	533	8	(	(	PUNCT
ejpam-5910	533	9	3	3	NUM
ejpam-5910	533	10	)	)	PUNCT
ejpam-5910	533	11	(	(	PUNCT
ejpam-5910	533	12	2025	2025	NUM
ejpam-5910	533	13	)	)	PUNCT
ejpam-5910	533	14	,	,	PUNCT
ejpam-5910	533	15	5910	5910	NUM
ejpam-5910	533	16	28	28	NUM
ejpam-5910	533	17	of	of	ADP
ejpam-5910	533	18	28	28	NUM
ejpam-5910	534	1	[	[	X
ejpam-5910	534	2	19	19	NUM
ejpam-5910	534	3	]	]	X
ejpam-5910	534	4	m	m	PROPN
ejpam-5910	534	5	jain	jain	PROPN
ejpam-5910	534	6	s	s	PART
ejpam-5910	534	7	kaur	kaur	PROPN
ejpam-5910	534	8	and	and	CCONJ
ejpam-5910	534	9	p	p	PROPN
ejpam-5910	534	10	singh	singh	PROPN
ejpam-5910	534	11	.	.	PUNCT
ejpam-5910	535	1	supplementary	supplementary	ADJ
ejpam-5910	535	2	variable	variable	ADJ
ejpam-5910	535	3	technique	technique	NOUN
ejpam-5910	535	4	(	(	PUNCT
ejpam-5910	535	5	sv	sv	NOUN
ejpam-5910	535	6	t	t	PROPN
ejpam-5910	535	7	)	)	PUNCT
ejpam-5910	535	8	for	for	ADP
ejpam-5910	535	9	nonmarkovian	nonmarkovian	ADJ
ejpam-5910	535	10	single	single	ADJ
ejpam-5910	535	11	server	server	NOUN
ejpam-5910	535	12	queue	queue	NOUN
ejpam-5910	535	13	with	with	ADP
ejpam-5910	535	14	service	service	NOUN
ejpam-5910	535	15	interruption	interruption	NOUN
ejpam-5910	535	16	(	(	PUNCT
ejpam-5910	535	17	qsi	qsi	PROPN
ejpam-5910	535	18	)	)	PUNCT
ejpam-5910	535	19	.	.	PUNCT
ejpam-5910	536	1	operational	operational	ADJ
ejpam-5910	536	2	research	research	NOUN
ejpam-5910	536	3	,	,	PUNCT
ejpam-5910	536	4	pages	page	NOUN
ejpam-5910	536	5	1–44	1–44	PROPN
ejpam-5910	536	6	,	,	PUNCT
ejpam-5910	536	7	2021	2021	NUM
ejpam-5910	536	8	.	.	PUNCT
ejpam-5910	537	1	[	[	X
ejpam-5910	537	2	20	20	NUM
ejpam-5910	537	3	]	]	PUNCT
ejpam-5910	537	4	a	a	DET
ejpam-5910	537	5	begum	begum	NOUN
ejpam-5910	537	6	and	and	CCONJ
ejpam-5910	537	7	g	g	PROPN
ejpam-5910	537	8	choudhury	choudhury	PROPN
ejpam-5910	537	9	.	.	PUNCT
ejpam-5910	538	1	analysis	analysis	NOUN
ejpam-5910	538	2	of	of	ADP
ejpam-5910	538	3	a	a	DET
ejpam-5910	538	4	bulk	bulk	ADJ
ejpam-5910	538	5	arrival	arrival	NOUN
ejpam-5910	538	6	n	n	CCONJ
ejpam-5910	538	7	-policy	-policy	PROPN
ejpam-5910	538	8	queue	queue	NOUN
ejpam-5910	538	9	with	with	ADP
ejpam-5910	538	10	twoservice	twoservice	PROPN
ejpam-5910	538	11	genre	genre	NOUN
ejpam-5910	538	12	,	,	PUNCT
ejpam-5910	538	13	breakdown	breakdown	ADJ
ejpam-5910	538	14	,	,	PUNCT
ejpam-5910	538	15	delayed	delay	VERB
ejpam-5910	538	16	repair	repair	NOUN
ejpam-5910	538	17	under	under	ADP
ejpam-5910	538	18	bernoulli	bernoulli	NOUN
ejpam-5910	538	19	vacation	vacation	NOUN
ejpam-5910	538	20	and	and	CCONJ
ejpam-5910	538	21	repeated	repeat	VERB
ejpam-5910	538	22	service	service	NOUN
ejpam-5910	538	23	policy	policy	NOUN
ejpam-5910	538	24	.	.	PUNCT
ejpam-5910	539	1	rairo	rairo	NOUN
ejpam-5910	539	2	-	-	PUNCT
ejpam-5910	539	3	operations	operation	NOUN
ejpam-5910	539	4	research	research	NOUN
ejpam-5910	539	5	,	,	PUNCT
ejpam-5910	539	6	56(2):979–1012	56(2):979–1012	NUM
ejpam-5910	539	7	,	,	PUNCT
ejpam-5910	539	8	2022	2022	NUM
ejpam-5910	539	9	.	.	PUNCT
ejpam-5910	540	1	[	[	X
ejpam-5910	540	2	21	21	NUM
ejpam-5910	540	3	]	]	X
ejpam-5910	540	4	s	s	VERB
ejpam-5910	540	5	a	a	DET
ejpam-5910	540	6	dudin	dudin	NOUN
ejpam-5910	540	7	a	a	DET
ejpam-5910	540	8	n	n	ADV
ejpam-5910	540	9	dudin	dudin	VERB
ejpam-5910	540	10	,	,	PUNCT
ejpam-5910	540	11	s	s	VERB
ejpam-5910	540	12	r	r	NOUN
ejpam-5910	540	13	chakravarthy	chakravarthy	ADJ
ejpam-5910	540	14	and	and	CCONJ
ejpam-5910	540	15	o	o	NOUN
ejpam-5910	540	16	s	s	NOUN
ejpam-5910	540	17	dudina	dudina	NOUN
ejpam-5910	540	18	.	.	PUNCT
ejpam-5910	541	1	queueing	queue	VERB
ejpam-5910	541	2	system	system	NOUN
ejpam-5910	541	3	with	with	ADP
ejpam-5910	541	4	server	server	NOUN
ejpam-5910	541	5	breakdowns	breakdown	NOUN
ejpam-5910	541	6	and	and	CCONJ
ejpam-5910	541	7	individual	individual	ADJ
ejpam-5910	541	8	customer	customer	NOUN
ejpam-5910	541	9	abandonment	abandonment	NOUN
ejpam-5910	541	10	.	.	PUNCT
ejpam-5910	542	1	quality	quality	NOUN
ejpam-5910	542	2	technology	technology	NOUN
ejpam-5910	542	3	and	and	CCONJ
ejpam-5910	542	4	quantitative	quantitative	ADJ
ejpam-5910	542	5	management	management	NOUN
ejpam-5910	542	6	,	,	PUNCT
ejpam-5910	542	7	21(4):441–460	21(4):441–460	PROPN
ejpam-5910	542	8	,	,	PUNCT
ejpam-5910	542	9	2023	2023	NUM
ejpam-5910	542	10	.	.	PUNCT
ejpam-5910	543	1	[	[	X
ejpam-5910	543	2	22	22	NUM
ejpam-5910	543	3	]	]	X
ejpam-5910	543	4	m	m	PROPN
ejpam-5910	543	5	jain	jain	PROPN
ejpam-5910	543	6	k	k	PROPN
ejpam-5910	543	7	kumar	kumar	PROPN
ejpam-5910	543	8	and	and	CCONJ
ejpam-5910	543	9	c	c	PROPN
ejpam-5910	543	10	shekhar	shekhar	PROPN
ejpam-5910	543	11	.	.	PUNCT
ejpam-5910	543	12	machine	machine	NOUN
ejpam-5910	543	13	repair	repair	NOUN
ejpam-5910	543	14	system	system	NOUN
ejpam-5910	543	15	with	with	ADP
ejpam-5910	543	16	threshold	threshold	NOUN
ejpam-5910	543	17	recovery	recovery	NOUN
ejpam-5910	543	18	policy	policy	NOUN
ejpam-5910	543	19	,	,	PUNCT
ejpam-5910	543	20	unreliable	unreliable	ADJ
ejpam-5910	543	21	servers	server	NOUN
ejpam-5910	543	22	and	and	CCONJ
ejpam-5910	543	23	phase	phase	NOUN
ejpam-5910	543	24	repairs	repair	NOUN
ejpam-5910	543	25	.	.	PUNCT
ejpam-5910	544	1	quality	quality	NOUN
ejpam-5910	544	2	technology	technology	NOUN
ejpam-5910	544	3	and	and	CCONJ
ejpam-5910	544	4	quantitative	quantitative	ADJ
ejpam-5910	544	5	management	management	NOUN
ejpam-5910	544	6	,	,	PUNCT
ejpam-5910	544	7	21(5):587–610	21(5):587–610	PROPN
ejpam-5910	544	8	,	,	PUNCT
ejpam-5910	544	9	2023	2023	NUM
ejpam-5910	544	10	.	.	PUNCT
ejpam-5910	545	1	[	[	X
ejpam-5910	545	2	23	23	NUM
ejpam-5910	545	3	]	]	X
ejpam-5910	545	4	w	w	PROPN
ejpam-5910	545	5	xu	xu	PROPN
ejpam-5910	545	6	l	l	PROPN
ejpam-5910	546	1	li	li	PROPN
ejpam-5910	546	2	w	w	PROPN
ejpam-5910	546	3	fan	fan	PROPN
ejpam-5910	546	4	and	and	CCONJ
ejpam-5910	546	5	l	l	PROPN
ejpam-5910	546	6	liu	liu	PROPN
ejpam-5910	546	7	.	.	PUNCT
ejpam-5910	547	1	optimal	optimal	ADJ
ejpam-5910	547	2	control	control	NOUN
ejpam-5910	547	3	of	of	ADP
ejpam-5910	547	4	a	a	DET
ejpam-5910	547	5	two	two	NUM
ejpam-5910	547	6	-	-	PUNCT
ejpam-5910	547	7	phase	phase	NOUN
ejpam-5910	547	8	heterogeneous	heterogeneous	ADJ
ejpam-5910	547	9	service	service	NOUN
ejpam-5910	547	10	retrial	retrial	NOUN
ejpam-5910	547	11	queueing	queue	VERB
ejpam-5910	547	12	system	system	NOUN
ejpam-5910	547	13	with	with	ADP
ejpam-5910	547	14	collisions	collision	NOUN
ejpam-5910	547	15	and	and	CCONJ
ejpam-5910	547	16	delayed	delayed	ADJ
ejpam-5910	547	17	vacations	vacation	NOUN
ejpam-5910	547	18	.	.	PUNCT
ejpam-5910	548	1	journal	journal	NOUN
ejpam-5910	548	2	of	of	ADP
ejpam-5910	548	3	applied	apply	VERB
ejpam-5910	548	4	mathematics	mathematic	NOUN
ejpam-5910	548	5	and	and	CCONJ
ejpam-5910	548	6	computing	computing	NOUN
ejpam-5910	548	7	,	,	PUNCT
ejpam-5910	548	8	pages	page	NOUN
ejpam-5910	548	9	1–28	1–28	PROPN
ejpam-5910	548	10	,	,	PUNCT
ejpam-5910	548	11	2024	2024	NUM
ejpam-5910	548	12	.	.	PUNCT
ejpam-5910	549	1	[	[	X
ejpam-5910	549	2	24	24	NUM
ejpam-5910	549	3	]	]	X
ejpam-5910	549	4	y	y	PROPN
ejpam-5910	549	5	he	he	PRON
ejpam-5910	549	6	y	y	PROPN
ejpam-5910	549	7	tang	tang	PROPN
ejpam-5910	549	8	m	m	PROPN
ejpam-5910	549	9	yu	yu	PROPN
ejpam-5910	549	10	andwwu	andwwu	PROPN
ejpam-5910	549	11	.	.	PUNCT
ejpam-5910	550	1	performance	performance	NOUN
ejpam-5910	550	2	and	and	CCONJ
ejpam-5910	550	3	optimization	optimization	NOUN
ejpam-5910	550	4	analysis	analysis	NOUN
ejpam-5910	550	5	of	of	ADP
ejpam-5910	550	6	a	a	DET
ejpam-5910	550	7	queue	queue	NOUN
ejpam-5910	550	8	with	with	ADP
ejpam-5910	550	9	delayed	delay	VERB
ejpam-5910	550	10	uninterrupted	uninterrupted	ADJ
ejpam-5910	550	11	multiple	multiple	ADJ
ejpam-5910	550	12	vacation	vacation	NOUN
ejpam-5910	550	13	and	and	CCONJ
ejpam-5910	550	14	n	n	PRON
ejpam-5910	550	15	-policy	-policy	PROPN
ejpam-5910	550	16	.	.	PUNCT
ejpam-5910	551	1	methodology	methodology	NOUN
ejpam-5910	551	2	and	and	CCONJ
ejpam-5910	551	3	computing	computing	NOUN
ejpam-5910	551	4	in	in	ADP
ejpam-5910	551	5	applied	apply	VERB
ejpam-5910	551	6	probability	probability	NOUN
ejpam-5910	551	7	,	,	PUNCT
ejpam-5910	551	8	26(2):21	26(2):21	NUM
ejpam-5910	551	9	,	,	PUNCT
ejpam-5910	551	10	2024	2024	NUM
ejpam-5910	551	11	.	.	PUNCT