id	sid	tid	token	lemma	pos
sc-1172	1	1	analysis	analysis	NOUN
sc-1172	1	2	of	of	ADP
sc-1172	1	3	rate	rate	NOUN
sc-1172	1	4	-	-	PUNCT
sc-1172	1	5	based	base	VERB
sc-1172	1	6	pull	pull	NOUN
sc-1172	1	7	and	and	CCONJ
sc-1172	1	8	push	push	VERB
sc-1172	1	9	strategies	strategy	NOUN
sc-1172	1	10	with	with	ADP
sc-1172	1	11	limited	limited	ADJ
sc-1172	1	12	migration	migration	NOUN
sc-1172	1	13	rates	rate	NOUN
sc-1172	1	14	in	in	ADP
sc-1172	1	15	large	large	ADJ
sc-1172	1	16	distributed	distribute	VERB
sc-1172	1	17	networks	network	NOUN
sc-1172	1	18	w.	w.	PROPN
sc-1172	1	19	minnebo	minnebo	PROPN
sc-1172	1	20	and	and	CCONJ
sc-1172	1	21	b.	b.	PROPN
sc-1172	1	22	van	van	PROPN
sc-1172	1	23	houdt	houdt	PROPN
sc-1172	1	24	department	department	PROPN
sc-1172	1	25	of	of	ADP
sc-1172	1	26	mathematics	mathematics	PROPN
sc-1172	1	27	and	and	CCONJ
sc-1172	1	28	computer	computer	NOUN
sc-1172	1	29	science	science	PROPN
sc-1172	1	30	university	university	PROPN
sc-1172	1	31	of	of	ADP
sc-1172	1	32	antwerp	antwerp	PROPN
sc-1172	1	33	iminds	imind	VERB
sc-1172	1	34	middelheimlaan	middelheimlaan	PROPN
sc-1172	1	35	1	1	NUM
sc-1172	1	36	,	,	PUNCT
sc-1172	1	37	b-2020	b-2020	PROPN
sc-1172	1	38	antwerp	antwerp	PROPN
sc-1172	1	39	,	,	PUNCT
sc-1172	1	40	belgium	belgium	PROPN
sc-1172	1	41	{	{	PUNCT
sc-1172	1	42	wouter.minnebo,benny.vanhoudt}@uantwerpen.be	wouter.minnebo,benny.vanhoudt}@uantwerpen.be	PROPN
sc-1172	1	43	abstract	abstract	NOUN
sc-1172	1	44	in	in	ADP
sc-1172	1	45	this	this	DET
sc-1172	1	46	paper	paper	NOUN
sc-1172	1	47	we	we	PRON
sc-1172	1	48	analyze	analyze	VERB
sc-1172	1	49	the	the	DET
sc-1172	1	50	performance	performance	NOUN
sc-1172	1	51	of	of	ADP
sc-1172	1	52	pull	pull	VERB
sc-1172	1	53	and	and	CCONJ
sc-1172	1	54	push	push	VERB
sc-1172	1	55	strategies	strategy	NOUN
sc-1172	1	56	in	in	ADP
sc-1172	1	57	large	large	ADJ
sc-1172	1	58	homogeneous	homogeneous	ADJ
sc-1172	1	59	distributed	distribute	VERB
sc-1172	1	60	systems	system	NOUN
sc-1172	1	61	where	where	SCONJ
sc-1172	1	62	the	the	DET
sc-1172	1	63	number	number	NOUN
sc-1172	1	64	of	of	ADP
sc-1172	1	65	job	job	NOUN
sc-1172	1	66	transfers	transfer	NOUN
sc-1172	1	67	per	per	ADP
sc-1172	1	68	time	time	NOUN
sc-1172	1	69	unit	unit	NOUN
sc-1172	1	70	is	be	AUX
sc-1172	1	71	limited	limited	ADJ
sc-1172	1	72	.	.	PUNCT
sc-1172	2	1	job	job	NOUN
sc-1172	2	2	transfer	transfer	NOUN
sc-1172	2	3	strategies	strategy	NOUN
sc-1172	2	4	which	which	PRON
sc-1172	2	5	rely	rely	VERB
sc-1172	2	6	on	on	ADP
sc-1172	2	7	lightly	lightly	ADV
sc-1172	2	8	-	-	PUNCT
sc-1172	2	9	loaded	load	VERB
sc-1172	2	10	servers	server	NOUN
sc-1172	2	11	to	to	PART
sc-1172	2	12	attract	attract	VERB
sc-1172	2	13	jobs	job	NOUN
sc-1172	2	14	from	from	ADP
sc-1172	2	15	heavily	heavily	ADV
sc-1172	2	16	-	-	PUNCT
sc-1172	2	17	loaded	load	VERB
sc-1172	2	18	servers	server	NOUN
sc-1172	2	19	are	be	AUX
sc-1172	2	20	known	know	VERB
sc-1172	2	21	as	as	ADP
sc-1172	2	22	pull	pull	NOUN
sc-1172	2	23	strategies	strategy	NOUN
sc-1172	2	24	,	,	PUNCT
sc-1172	2	25	whereas	whereas	SCONJ
sc-1172	2	26	for	for	ADP
sc-1172	2	27	push	push	NOUN
sc-1172	2	28	strategies	strategy	NOUN
sc-1172	2	29	the	the	DET
sc-1172	2	30	heavily	heavily	ADV
sc-1172	2	31	loaded	load	VERB
sc-1172	2	32	servers	server	NOUN
sc-1172	2	33	initiate	initiate	VERB
sc-1172	2	34	the	the	DET
sc-1172	2	35	job	job	NOUN
sc-1172	2	36	transfers	transfer	NOUN
sc-1172	2	37	to	to	ADP
sc-1172	2	38	lightly	lightly	ADV
sc-1172	2	39	loaded	load	VERB
sc-1172	2	40	servers	server	NOUN
sc-1172	2	41	.	.	PUNCT
sc-1172	3	1	to	to	ADP
sc-1172	3	2	this	this	DET
sc-1172	3	3	end	end	NOUN
sc-1172	3	4	,	,	PUNCT
sc-1172	3	5	servers	server	NOUN
sc-1172	3	6	transmit	transmit	VERB
sc-1172	3	7	probe	probe	NOUN
sc-1172	3	8	messages	message	NOUN
sc-1172	3	9	to	to	PART
sc-1172	3	10	discover	discover	VERB
sc-1172	3	11	other	other	ADJ
sc-1172	3	12	servers	server	NOUN
sc-1172	3	13	that	that	PRON
sc-1172	3	14	are	be	AUX
sc-1172	3	15	able	able	ADJ
sc-1172	3	16	to	to	PART
sc-1172	3	17	take	take	VERB
sc-1172	3	18	part	part	NOUN
sc-1172	3	19	in	in	ADP
sc-1172	3	20	a	a	DET
sc-1172	3	21	job	job	NOUN
sc-1172	3	22	transfer	transfer	NOUN
sc-1172	3	23	.	.	PUNCT
sc-1172	4	1	previous	previous	ADJ
sc-1172	4	2	work	work	NOUN
sc-1172	4	3	on	on	ADP
sc-1172	4	4	rate	rate	NOUN
sc-1172	4	5	-	-	PUNCT
sc-1172	4	6	based	base	VERB
sc-1172	4	7	pull	pull	NOUN
sc-1172	4	8	and	and	CCONJ
sc-1172	4	9	push	push	NOUN
sc-1172	4	10	strategies	strategy	NOUN
sc-1172	4	11	focused	focus	VERB
sc-1172	4	12	on	on	ADP
sc-1172	4	13	the	the	DET
sc-1172	4	14	impact	impact	NOUN
sc-1172	4	15	of	of	ADP
sc-1172	4	16	the	the	DET
sc-1172	4	17	probe	probe	NOUN
sc-1172	4	18	rate	rate	NOUN
sc-1172	4	19	on	on	ADP
sc-1172	4	20	the	the	DET
sc-1172	4	21	mean	mean	ADJ
sc-1172	4	22	job	job	NOUN
sc-1172	4	23	response	response	NOUN
sc-1172	4	24	time	time	NOUN
sc-1172	4	25	.	.	PUNCT
sc-1172	5	1	in	in	ADP
sc-1172	5	2	this	this	DET
sc-1172	5	3	paper	paper	NOUN
sc-1172	5	4	we	we	PRON
sc-1172	5	5	also	also	ADV
sc-1172	5	6	limit	limit	VERB
sc-1172	5	7	the	the	DET
sc-1172	5	8	overall	overall	ADJ
sc-1172	5	9	migration	migration	NOUN
sc-1172	5	10	rate	rate	NOUN
sc-1172	5	11	and	and	CCONJ
sc-1172	5	12	show	show	VERB
sc-1172	5	13	that	that	SCONJ
sc-1172	5	14	any	any	DET
sc-1172	5	15	predefined	predefine	VERB
sc-1172	5	16	migration	migration	NOUN
sc-1172	5	17	rate	rate	NOUN
sc-1172	5	18	can	can	AUX
sc-1172	5	19	be	be	AUX
sc-1172	5	20	matched	match	VERB
sc-1172	5	21	by	by	ADP
sc-1172	5	22	both	both	CCONJ
sc-1172	5	23	the	the	DET
sc-1172	5	24	rate	rate	NOUN
sc-1172	5	25	-	-	PUNCT
sc-1172	5	26	based	base	VERB
sc-1172	5	27	pull	pull	NOUN
sc-1172	5	28	and	and	CCONJ
sc-1172	5	29	push	push	ADJ
sc-1172	5	30	strategies	strategy	NOUN
sc-1172	5	31	.	.	PUNCT
sc-1172	6	1	we	we	PRON
sc-1172	6	2	present	present	VERB
sc-1172	6	3	closed	closed	ADJ
sc-1172	6	4	form	form	NOUN
sc-1172	6	5	formulas	formula	NOUN
sc-1172	6	6	for	for	ADP
sc-1172	6	7	the	the	DET
sc-1172	6	8	mean	mean	ADJ
sc-1172	6	9	response	response	NOUN
sc-1172	6	10	time	time	NOUN
sc-1172	6	11	(	(	PUNCT
sc-1172	6	12	as	as	ADP
sc-1172	6	13	a	a	DET
sc-1172	6	14	function	function	NOUN
sc-1172	6	15	of	of	ADP
sc-1172	6	16	the	the	DET
sc-1172	6	17	allowed	allow	VERB
sc-1172	6	18	probe	probe	NOUN
sc-1172	6	19	and	and	CCONJ
sc-1172	6	20	migration	migration	NOUN
sc-1172	6	21	rate	rate	NOUN
sc-1172	6	22	)	)	PUNCT
sc-1172	6	23	and	and	CCONJ
sc-1172	6	24	validate	validate	VERB
sc-1172	6	25	their	their	PRON
sc-1172	6	26	accuracy	accuracy	NOUN
sc-1172	6	27	by	by	ADP
sc-1172	6	28	simulation	simulation	NOUN
sc-1172	6	29	.	.	PUNCT
sc-1172	7	1	we	we	PRON
sc-1172	7	2	also	also	ADV
sc-1172	7	3	introduce	introduce	VERB
sc-1172	7	4	and	and	CCONJ
sc-1172	7	5	analyze	analyze	VERB
sc-1172	7	6	a	a	DET
sc-1172	7	7	new	new	ADJ
sc-1172	7	8	pull	pull	NOUN
sc-1172	7	9	strategy	strategy	NOUN
sc-1172	7	10	and	and	CCONJ
sc-1172	7	11	show	show	VERB
sc-1172	7	12	that	that	SCONJ
sc-1172	7	13	under	under	ADP
sc-1172	7	14	high	high	ADJ
sc-1172	7	15	loads	load	NOUN
sc-1172	7	16	it	it	PRON
sc-1172	7	17	is	be	AUX
sc-1172	7	18	superior	superior	ADJ
sc-1172	7	19	to	to	ADP
sc-1172	7	20	the	the	DET
sc-1172	7	21	push	push	NOUN
sc-1172	7	22	strategies	strategy	NOUN
sc-1172	7	23	considered	consider	VERB
sc-1172	7	24	,	,	PUNCT
sc-1172	7	25	while	while	SCONJ
sc-1172	7	26	the	the	DET
sc-1172	7	27	push	push	NOUN
sc-1172	7	28	strategies	strategy	NOUN
sc-1172	7	29	offer	offer	VERB
sc-1172	7	30	only	only	ADV
sc-1172	7	31	a	a	DET
sc-1172	7	32	very	very	ADV
sc-1172	7	33	limited	limited	ADJ
sc-1172	7	34	gain	gain	NOUN
sc-1172	7	35	for	for	ADP
sc-1172	7	36	medium	medium	ADJ
sc-1172	7	37	to	to	ADP
sc-1172	7	38	low	low	ADJ
sc-1172	7	39	load	load	NOUN
sc-1172	7	40	scenarios	scenario	NOUN
sc-1172	7	41	.	.	PUNCT
sc-1172	8	1	categories	category	NOUN
sc-1172	8	2	and	and	CCONJ
sc-1172	8	3	subject	subject	NOUN
sc-1172	8	4	descriptors	descriptor	NOUN
sc-1172	8	5	c.4	c.4	PUNCT
sc-1172	9	1	[	[	X
sc-1172	9	2	computer	computer	NOUN
sc-1172	9	3	systems	system	NOUN
sc-1172	9	4	organization	organization	NOUN
sc-1172	9	5	]	]	PUNCT
sc-1172	9	6	:	:	PUNCT
sc-1172	9	7	performance	performance	NOUN
sc-1172	9	8	of	of	ADP
sc-1172	9	9	systems	system	NOUN
sc-1172	9	10	;	;	PUNCT
sc-1172	9	11	d.4.8	d.4.8	X
sc-1172	10	1	[	[	X
sc-1172	10	2	operating	operating	NOUN
sc-1172	10	3	systems	system	NOUN
sc-1172	10	4	]	]	PUNCT
sc-1172	10	5	:	:	PUNCT
sc-1172	10	6	performance	performance	NOUN
sc-1172	10	7	keywords	keyword	NOUN
sc-1172	10	8	distributed	distribute	VERB
sc-1172	10	9	computing	computing	NOUN
sc-1172	10	10	,	,	PUNCT
sc-1172	10	11	performance	performance	NOUN
sc-1172	10	12	analysis	analysis	NOUN
sc-1172	10	13	,	,	PUNCT
sc-1172	10	14	processor	processor	NOUN
sc-1172	10	15	scheduling	scheduling	NOUN
sc-1172	10	16	1	1	NUM
sc-1172	10	17	.	.	PUNCT
sc-1172	11	1	introduction	introduction	NOUN
sc-1172	11	2	in	in	ADP
sc-1172	11	3	order	order	NOUN
sc-1172	11	4	to	to	PART
sc-1172	11	5	optimally	optimally	ADV
sc-1172	11	6	use	use	VERB
sc-1172	11	7	the	the	DET
sc-1172	11	8	available	available	ADJ
sc-1172	11	9	resources	resource	NOUN
sc-1172	11	10	in	in	ADP
sc-1172	11	11	a	a	DET
sc-1172	11	12	distributed	distribute	VERB
sc-1172	11	13	network	network	NOUN
sc-1172	11	14	it	it	PRON
sc-1172	11	15	is	be	AUX
sc-1172	11	16	desirable	desirable	ADJ
sc-1172	11	17	to	to	PART
sc-1172	11	18	be	be	AUX
sc-1172	11	19	able	able	ADJ
sc-1172	11	20	to	to	PART
sc-1172	11	21	dynamically	dynamically	VERB
sc-1172	11	22	relocate	relocate	VERB
sc-1172	11	23	jobs	job	NOUN
sc-1172	11	24	among	among	ADP
sc-1172	11	25	a	a	DET
sc-1172	11	26	large	large	ADJ
sc-1172	11	27	number	number	NOUN
sc-1172	11	28	of	of	ADP
sc-1172	11	29	processing	processing	NOUN
sc-1172	11	30	nodes	node	NOUN
sc-1172	11	31	.	.	PUNCT
sc-1172	12	1	jobs	job	NOUN
sc-1172	12	2	may	may	AUX
sc-1172	12	3	enter	enter	VERB
sc-1172	12	4	the	the	DET
sc-1172	12	5	network	network	NOUN
sc-1172	12	6	via	via	ADP
sc-1172	12	7	one	one	NUM
sc-1172	12	8	or	or	CCONJ
sc-1172	12	9	multiple	multiple	ADJ
sc-1172	12	10	central	central	ADJ
sc-1172	12	11	dispatchers	dispatcher	NOUN
sc-1172	12	12	(	(	PUNCT
sc-1172	12	13	e.g.	e.g.	ADV
sc-1172	12	14	,	,	PUNCT
sc-1172	12	15	[	[	X
sc-1172	12	16	4,10,12,14,15	4,10,12,14,15	NUM
sc-1172	12	17	]	]	PUNCT
sc-1172	12	18	)	)	PUNCT
sc-1172	12	19	or	or	CCONJ
sc-1172	12	20	via	via	ADP
sc-1172	12	21	the	the	DET
sc-1172	12	22	processing	processing	NOUN
sc-1172	12	23	nodes	node	NOUN
sc-1172	12	24	themselves	themselves	PRON
sc-1172	12	25	(	(	PUNCT
sc-1172	12	26	e.g.	e.g.	ADV
sc-1172	12	27	,	,	PUNCT
sc-1172	12	28	[	[	X
sc-1172	12	29	2	2	NUM
sc-1172	12	30	,	,	PUNCT
sc-1172	12	31	3	3	NUM
sc-1172	12	32	,	,	PUNCT
sc-1172	12	33	8	8	NUM
sc-1172	12	34	,	,	PUNCT
sc-1172	12	35	13	13	NUM
sc-1172	12	36	]	]	NUM
sc-1172	12	37	)	)	PUNCT
sc-1172	12	38	.	.	PUNCT
sc-1172	13	1	a	a	DET
sc-1172	13	2	central	central	ADJ
sc-1172	13	3	dispatcher	dispatcher	NOUN
sc-1172	13	4	will	will	AUX
sc-1172	13	5	distribute	distribute	VERB
sc-1172	13	6	the	the	DET
sc-1172	13	7	jobs	job	NOUN
sc-1172	13	8	among	among	ADP
sc-1172	13	9	the	the	DET
sc-1172	13	10	nodes	node	NOUN
sc-1172	13	11	using	use	VERB
sc-1172	13	12	some	some	DET
sc-1172	13	13	load	load	NOUN
sc-1172	13	14	balancing	balance	VERB
sc-1172	13	15	algorithm	algorithm	NOUN
sc-1172	13	16	.	.	PUNCT
sc-1172	14	1	in	in	ADP
sc-1172	14	2	a	a	DET
sc-1172	14	3	more	more	ADV
sc-1172	14	4	distributed	distribute	VERB
sc-1172	14	5	approach	approach	NOUN
sc-1172	14	6	,	,	PUNCT
sc-1172	14	7	the	the	DET
sc-1172	14	8	nodes	node	NOUN
sc-1172	14	9	themselves	themselves	PRON
sc-1172	14	10	will	will	AUX
sc-1172	14	11	arrange	arrange	VERB
sc-1172	14	12	for	for	SCONJ
sc-1172	14	13	jobs	job	NOUN
sc-1172	14	14	to	to	PART
sc-1172	14	15	relocate	relocate	VERB
sc-1172	14	16	after	after	SCONJ
sc-1172	14	17	they	they	PRON
sc-1172	14	18	are	be	AUX
sc-1172	14	19	scheduled	schedule	VERB
sc-1172	14	20	.	.	PUNCT
sc-1172	15	1	two	two	NUM
sc-1172	15	2	approaches	approach	NOUN
sc-1172	15	3	are	be	AUX
sc-1172	15	4	common	common	ADJ
sc-1172	15	5	:	:	PUNCT
sc-1172	15	6	push	push	VERB
sc-1172	15	7	and	and	CCONJ
sc-1172	15	8	pull	pull	VERB
sc-1172	15	9	.	.	PUNCT
sc-1172	16	1	in	in	ADP
sc-1172	16	2	a	a	DET
sc-1172	16	3	push	push	NOUN
sc-1172	16	4	variant	variant	NOUN
sc-1172	16	5	(	(	PUNCT
sc-1172	16	6	or	or	CCONJ
sc-1172	16	7	work	work	NOUN
sc-1172	16	8	sharing	sharing	NOUN
sc-1172	16	9	)	)	PUNCT
sc-1172	16	10	highly	highly	ADV
sc-1172	16	11	loaded	load	VERB
sc-1172	16	12	nodes	node	NOUN
sc-1172	16	13	attempt	attempt	VERB
sc-1172	16	14	to	to	PART
sc-1172	16	15	find	find	VERB
sc-1172	16	16	lightly	lightly	ADV
sc-1172	16	17	loaded	load	VERB
sc-1172	16	18	nodes	node	NOUN
sc-1172	16	19	to	to	PART
sc-1172	16	20	migrate	migrate	VERB
sc-1172	16	21	jobs	job	NOUN
sc-1172	16	22	to	to	PART
sc-1172	16	23	.	.	PUNCT
sc-1172	17	1	pull	pull	VERB
sc-1172	17	2	variants	variant	NOUN
sc-1172	17	3	(	(	PUNCT
sc-1172	17	4	or	or	CCONJ
sc-1172	17	5	work	work	NOUN
sc-1172	17	6	stealing	stealing	NOUN
sc-1172	17	7	)	)	PUNCT
sc-1172	17	8	reverse	reverse	VERB
sc-1172	17	9	the	the	DET
sc-1172	17	10	roles	role	NOUN
sc-1172	17	11	,	,	PUNCT
sc-1172	17	12	so	so	SCONJ
sc-1172	17	13	that	that	SCONJ
sc-1172	17	14	lightly	lightly	ADV
sc-1172	17	15	loaded	load	VERB
sc-1172	17	16	nodes	node	NOUN
sc-1172	17	17	try	try	VERB
sc-1172	17	18	to	to	PART
sc-1172	17	19	attract	attract	VERB
sc-1172	17	20	work	work	NOUN
sc-1172	17	21	from	from	ADP
sc-1172	17	22	the	the	DET
sc-1172	17	23	highly	highly	ADV
sc-1172	17	24	loaded	load	VERB
sc-1172	17	25	nodes	node	NOUN
sc-1172	17	26	.	.	PUNCT
sc-1172	18	1	several	several	ADJ
sc-1172	18	2	authors	author	NOUN
sc-1172	18	3	studied	study	VERB
sc-1172	18	4	the	the	DET
sc-1172	18	5	performance	performance	NOUN
sc-1172	18	6	of	of	ADP
sc-1172	18	7	push	push	NOUN
sc-1172	18	8	and	and	CCONJ
sc-1172	18	9	pull	pull	VERB
sc-1172	18	10	strategies	strategy	NOUN
sc-1172	18	11	.	.	PUNCT
sc-1172	19	1	a	a	DET
sc-1172	19	2	comparison	comparison	NOUN
sc-1172	19	3	for	for	ADP
sc-1172	19	4	a	a	DET
sc-1172	19	5	homogeneous	homogeneous	ADJ
sc-1172	19	6	distributed	distribute	VERB
sc-1172	19	7	system	system	NOUN
sc-1172	19	8	with	with	ADP
sc-1172	19	9	poisson	poisson	PROPN
sc-1172	19	10	arrivals	arrival	NOUN
sc-1172	19	11	and	and	CCONJ
sc-1172	19	12	exponential	exponential	ADJ
sc-1172	19	13	job	job	NOUN
sc-1172	19	14	lengths	length	NOUN
sc-1172	19	15	was	be	AUX
sc-1172	19	16	presented	present	VERB
sc-1172	19	17	in	in	ADP
sc-1172	19	18	[	[	X
sc-1172	19	19	1	1	NUM
sc-1172	19	20	,	,	PUNCT
sc-1172	19	21	2	2	NUM
sc-1172	19	22	]	]	PUNCT
sc-1172	19	23	and	and	CCONJ
sc-1172	19	24	extended	extend	VERB
sc-1172	19	25	to	to	ADP
sc-1172	19	26	heterogeneous	heterogeneous	ADJ
sc-1172	19	27	systems	system	NOUN
sc-1172	19	28	in	in	ADP
sc-1172	19	29	[	[	NOUN
sc-1172	19	30	9,11	9,11	NUM
sc-1172	19	31	]	]	PUNCT
sc-1172	19	32	.	.	PUNCT
sc-1172	20	1	these	these	DET
sc-1172	20	2	studies	study	NOUN
sc-1172	20	3	showed	show	VERB
sc-1172	20	4	that	that	SCONJ
sc-1172	20	5	the	the	DET
sc-1172	20	6	pull	pull	NOUN
sc-1172	20	7	strategy	strategy	NOUN
sc-1172	20	8	is	be	AUX
sc-1172	20	9	superior	superior	ADJ
sc-1172	20	10	under	under	ADP
sc-1172	20	11	high	high	ADJ
sc-1172	20	12	load	load	NOUN
sc-1172	20	13	conditions	condition	NOUN
sc-1172	20	14	,	,	PUNCT
sc-1172	20	15	while	while	SCONJ
sc-1172	20	16	the	the	DET
sc-1172	20	17	push	push	NOUN
sc-1172	20	18	strategy	strategy	NOUN
sc-1172	20	19	achieves	achieve	VERB
sc-1172	20	20	a	a	DET
sc-1172	20	21	lower	low	ADJ
sc-1172	20	22	mean	mean	NOUN
sc-1172	20	23	delay	delay	NOUN
sc-1172	20	24	under	under	ADP
sc-1172	20	25	low	low	ADJ
sc-1172	20	26	to	to	ADP
sc-1172	20	27	moderate	moderate	ADJ
sc-1172	20	28	loads	load	NOUN
sc-1172	20	29	.	.	PUNCT
sc-1172	21	1	nodes	node	NOUN
sc-1172	21	2	typically	typically	ADV
sc-1172	21	3	communicate	communicate	VERB
sc-1172	21	4	by	by	ADP
sc-1172	21	5	means	mean	NOUN
sc-1172	21	6	of	of	ADP
sc-1172	21	7	probe	probe	NOUN
sc-1172	21	8	messages	message	NOUN
sc-1172	21	9	,	,	PUNCT
sc-1172	21	10	exchanging	exchange	VERB
sc-1172	21	11	information	information	NOUN
sc-1172	21	12	such	such	ADJ
sc-1172	21	13	as	as	ADP
sc-1172	21	14	queue	queue	NOUN
sc-1172	21	15	length	length	NOUN
sc-1172	21	16	.	.	PUNCT
sc-1172	22	1	for	for	ADP
sc-1172	22	2	simplicity	simplicity	NOUN
sc-1172	22	3	we	we	PRON
sc-1172	22	4	assume	assume	VERB
sc-1172	22	5	that	that	SCONJ
sc-1172	22	6	sending	send	VERB
sc-1172	22	7	/	/	SYM
sc-1172	22	8	receiving	receive	VERB
sc-1172	22	9	probe	probe	NOUN
sc-1172	22	10	messages	message	NOUN
sc-1172	22	11	is	be	AUX
sc-1172	22	12	instantaneous	instantaneous	ADJ
sc-1172	22	13	and	and	CCONJ
sc-1172	22	14	does	do	AUX
sc-1172	22	15	not	not	PART
sc-1172	22	16	incur	incur	VERB
sc-1172	22	17	an	an	DET
sc-1172	22	18	extra	extra	ADJ
sc-1172	22	19	computational	computational	ADJ
sc-1172	22	20	or	or	CCONJ
sc-1172	22	21	bandwidth	bandwidth	ADJ
sc-1172	22	22	cost	cost	NOUN
sc-1172	22	23	.	.	PUNCT
sc-1172	23	1	when	when	SCONJ
sc-1172	23	2	a	a	DET
sc-1172	23	3	node	node	NOUN
sc-1172	23	4	wants	want	VERB
sc-1172	23	5	to	to	PART
sc-1172	23	6	push	push	VERB
sc-1172	23	7	or	or	CCONJ
sc-1172	23	8	pull	pull	VERB
sc-1172	23	9	a	a	DET
sc-1172	23	10	job	job	NOUN
sc-1172	23	11	,	,	PUNCT
sc-1172	23	12	it	it	PRON
sc-1172	23	13	probes	probe	VERB
sc-1172	23	14	a	a	DET
sc-1172	23	15	random	random	ADJ
sc-1172	23	16	other	other	ADJ
sc-1172	23	17	node	node	NOUN
sc-1172	23	18	to	to	PART
sc-1172	23	19	see	see	VERB
sc-1172	23	20	if	if	SCONJ
sc-1172	23	21	a	a	DET
sc-1172	23	22	transfer	transfer	NOUN
sc-1172	23	23	between	between	ADP
sc-1172	23	24	the	the	DET
sc-1172	23	25	nodes	node	NOUN
sc-1172	23	26	would	would	AUX
sc-1172	23	27	be	be	AUX
sc-1172	23	28	allowed	allow	VERB
sc-1172	23	29	.	.	PUNCT
sc-1172	24	1	under	under	ADP
sc-1172	24	2	a	a	DET
sc-1172	24	3	traditional	traditional	ADJ
sc-1172	24	4	pull	pull	NOUN
sc-1172	24	5	or	or	CCONJ
sc-1172	24	6	push	push	VERB
sc-1172	24	7	strategy	strategy	NOUN
sc-1172	24	8	a	a	DET
sc-1172	24	9	server	server	NOUN
sc-1172	24	10	sends	send	VERB
sc-1172	24	11	a	a	DET
sc-1172	24	12	maximum	maximum	NOUN
sc-1172	24	13	of	of	ADP
sc-1172	24	14	lp	lp	NOUN
sc-1172	24	15	probes	probe	NOUN
sc-1172	24	16	the	the	DET
sc-1172	24	17	instant	instant	NOUN
sc-1172	24	18	its	its	PRON
sc-1172	24	19	last	last	ADJ
sc-1172	24	20	job	job	NOUN
sc-1172	24	21	completes	complete	VERB
sc-1172	24	22	or	or	CCONJ
sc-1172	24	23	the	the	DET
sc-1172	24	24	instant	instant	NOUN
sc-1172	24	25	a	a	DET
sc-1172	24	26	job	job	NOUN
sc-1172	24	27	arrives	arrive	VERB
sc-1172	24	28	when	when	SCONJ
sc-1172	24	29	the	the	DET
sc-1172	24	30	server	server	NOUN
sc-1172	24	31	is	be	AUX
sc-1172	24	32	already	already	ADV
sc-1172	24	33	busy	busy	ADJ
sc-1172	24	34	[	[	X
sc-1172	24	35	1,2	1,2	NUM
sc-1172	24	36	]	]	PUNCT
sc-1172	24	37	.	.	PUNCT
sc-1172	25	1	the	the	DET
sc-1172	25	2	fraction	fraction	NOUN
sc-1172	25	3	of	of	ADP
sc-1172	25	4	queues	queue	NOUN
sc-1172	25	5	sending	send	VERB
sc-1172	25	6	probe	probe	NOUN
sc-1172	25	7	messages	message	NOUN
sc-1172	25	8	is	be	AUX
sc-1172	25	9	different	different	ADJ
sc-1172	25	10	,	,	PUNCT
sc-1172	25	11	and	and	CCONJ
sc-1172	25	12	as	as	ADP
sc-1172	25	13	a	a	DET
sc-1172	25	14	result	result	NOUN
sc-1172	25	15	pull	pull	VERB
sc-1172	25	16	and	and	CCONJ
sc-1172	25	17	push	push	NOUN
sc-1172	25	18	strategies	strategy	NOUN
sc-1172	25	19	achieve	achieve	VERB
sc-1172	25	20	a	a	DET
sc-1172	25	21	different	different	ADJ
sc-1172	25	22	overall	overall	ADJ
sc-1172	25	23	probe	probe	NOUN
sc-1172	25	24	rate	rate	NOUN
sc-1172	25	25	for	for	ADP
sc-1172	25	26	the	the	DET
sc-1172	25	27	same	same	ADJ
sc-1172	25	28	load	load	NOUN
sc-1172	25	29	of	of	ADP
sc-1172	25	30	the	the	DET
sc-1172	25	31	system	system	NOUN
sc-1172	25	32	.	.	PUNCT
sc-1172	26	1	this	this	PRON
sc-1172	26	2	makes	make	VERB
sc-1172	26	3	a	a	DET
sc-1172	26	4	performance	performance	NOUN
sc-1172	26	5	comparison	comparison	NOUN
sc-1172	26	6	biased	bias	VERB
sc-1172	26	7	,	,	PUNCT
sc-1172	26	8	as	as	SCONJ
sc-1172	26	9	sometimes	sometimes	ADV
sc-1172	26	10	the	the	DET
sc-1172	26	11	strategy	strategy	NOUN
sc-1172	26	12	with	with	ADP
sc-1172	26	13	the	the	DET
sc-1172	26	14	higher	high	ADJ
sc-1172	26	15	probe	probe	NOUN
sc-1172	26	16	rate	rate	NOUN
sc-1172	26	17	is	be	AUX
sc-1172	26	18	best	good	ADJ
sc-1172	26	19	[	[	X
sc-1172	26	20	5	5	NUM
sc-1172	26	21	]	]	PUNCT
sc-1172	26	22	.	.	PUNCT
sc-1172	27	1	in	in	ADP
sc-1172	27	2	[	[	X
sc-1172	27	3	5	5	NUM
sc-1172	27	4	]	]	PUNCT
sc-1172	27	5	rate	rate	NOUN
sc-1172	27	6	-	-	PUNCT
sc-1172	27	7	based	base	VERB
sc-1172	27	8	pull	pull	NOUN
sc-1172	27	9	and	and	CCONJ
sc-1172	27	10	push	push	VERB
sc-1172	27	11	variants	variant	NOUN
sc-1172	27	12	are	be	AUX
sc-1172	27	13	introduced	introduce	VERB
sc-1172	27	14	that	that	PRON
sc-1172	27	15	can	can	AUX
sc-1172	27	16	match	match	VERB
sc-1172	27	17	any	any	DET
sc-1172	27	18	predetermined	predetermine	VERB
sc-1172	27	19	probe	probe	NOUN
sc-1172	27	20	rate	rate	NOUN
sc-1172	27	21	r	r	NOUN
sc-1172	27	22	,	,	PUNCT
sc-1172	27	23	allowing	allow	VERB
sc-1172	27	24	the	the	DET
sc-1172	27	25	comparison	comparison	NOUN
sc-1172	27	26	of	of	ADP
sc-1172	27	27	pull	pull	VERB
sc-1172	27	28	and	and	CCONJ
sc-1172	27	29	push	push	VERB
sc-1172	27	30	strategies	strategy	NOUN
sc-1172	27	31	when	when	SCONJ
sc-1172	27	32	they	they	PRON
sc-1172	27	33	use	use	VERB
sc-1172	27	34	the	the	DET
sc-1172	27	35	same	same	ADJ
sc-1172	27	36	number	number	NOUN
sc-1172	27	37	of	of	ADP
sc-1172	27	38	probes	probe	NOUN
sc-1172	27	39	.	.	PUNCT
sc-1172	28	1	in	in	ADP
sc-1172	28	2	these	these	DET
sc-1172	28	3	variants	variant	NOUN
sc-1172	28	4	,	,	PUNCT
sc-1172	28	5	probes	probe	NOUN
sc-1172	28	6	are	be	AUX
sc-1172	28	7	no	no	ADV
sc-1172	28	8	longer	long	ADV
sc-1172	28	9	sent	send	VERB
sc-1172	28	10	at	at	ADP
sc-1172	28	11	job	job	NOUN
sc-1172	28	12	arrival	arrival	NOUN
sc-1172	28	13	or	or	CCONJ
sc-1172	28	14	completion	completion	NOUN
sc-1172	28	15	times	time	NOUN
sc-1172	28	16	but	but	CCONJ
sc-1172	28	17	at	at	ADP
sc-1172	28	18	a	a	DET
sc-1172	28	19	fixed	fix	VERB
sc-1172	28	20	rate	rate	NOUN
sc-1172	28	21	r	r	NOUN
sc-1172	28	22	as	as	ADV
sc-1172	28	23	long	long	ADV
sc-1172	28	24	as	as	SCONJ
sc-1172	28	25	the	the	DET
sc-1172	28	26	server	server	NOUN
sc-1172	28	27	is	be	AUX
sc-1172	28	28	idle	idle	ADJ
sc-1172	28	29	(	(	PUNCT
sc-1172	28	30	for	for	ADP
sc-1172	28	31	pull	pull	VERB
sc-1172	28	32	)	)	PUNCT
sc-1172	28	33	or	or	CCONJ
sc-1172	28	34	has	have	VERB
sc-1172	28	35	jobs	job	NOUN
sc-1172	28	36	waiting	wait	VERB
sc-1172	28	37	(	(	PUNCT
sc-1172	28	38	for	for	ADP
sc-1172	28	39	push	push	NOUN
sc-1172	28	40	)	)	PUNCT
sc-1172	28	41	.	.	PUNCT
sc-1172	29	1	the	the	DET
sc-1172	29	2	main	main	ADJ
sc-1172	29	3	result	result	NOUN
sc-1172	29	4	in	in	ADP
sc-1172	29	5	[	[	X
sc-1172	29	6	5	5	NUM
sc-1172	29	7	]	]	PUNCT
sc-1172	29	8	showed	show	VERB
sc-1172	29	9	that	that	SCONJ
sc-1172	29	10	the	the	DET
sc-1172	29	11	rate	rate	NOUN
sc-1172	29	12	-	-	PUNCT
sc-1172	29	13	based	base	VERB
sc-1172	29	14	push	push	NOUN
sc-1172	29	15	strategy	strategy	NOUN
sc-1172	29	16	results	result	NOUN
sc-1172	29	17	in	in	ADP
sc-1172	29	18	a	a	DET
sc-1172	29	19	lower	low	ADJ
sc-1172	29	20	mean	mean	NOUN
sc-1172	29	21	delay	delay	NOUN
sc-1172	29	22	if	if	SCONJ
sc-1172	29	23	and	and	CCONJ
sc-1172	29	24	only	only	ADV
sc-1172	29	25	if	if	SCONJ
sc-1172	29	26	λ	λ	NOUN
sc-1172	29	27	<	<	X
sc-1172	29	28	√	√	X
sc-1172	29	29	(	(	PUNCT
sc-1172	29	30	r+	r+	NOUN
sc-1172	29	31	1)2	1)2	NUM
sc-1172	29	32	+	+	NUM
sc-1172	29	33	4(r+	4(r+	PROPN
sc-1172	29	34	1)−	1)−	NUM
sc-1172	29	35	(	(	PUNCT
sc-1172	29	36	r+	r+	NOUN
sc-1172	29	37	1	1	NUM
sc-1172	29	38	)	)	PUNCT
sc-1172	29	39	2	2	NUM
sc-1172	29	40	,	,	PUNCT
sc-1172	29	41	under	under	ADP
sc-1172	29	42	the	the	DET
sc-1172	29	43	so	so	ADV
sc-1172	29	44	-	-	PUNCT
sc-1172	29	45	called	call	VERB
sc-1172	29	46	infinite	infinite	ADJ
sc-1172	29	47	system	system	NOUN
sc-1172	29	48	model	model	NOUN
sc-1172	29	49	and	and	CCONJ
sc-1172	29	50	that	that	SCONJ
sc-1172	29	51	a	a	DET
sc-1172	29	52	hybrid	hybrid	NOUN
sc-1172	29	53	pull	pull	NOUN
sc-1172	29	54	/	/	SYM
sc-1172	29	55	push	push	NOUN
sc-1172	29	56	strategy	strategy	NOUN
sc-1172	29	57	is	be	AUX
sc-1172	29	58	always	always	ADV
sc-1172	29	59	inferior	inferior	ADJ
sc-1172	29	60	to	to	ADP
sc-1172	29	61	the	the	DET
sc-1172	29	62	pure	pure	ADJ
sc-1172	29	63	pull	pull	NOUN
sc-1172	29	64	or	or	CCONJ
sc-1172	29	65	push	push	VERB
sc-1172	29	66	strategy	strategy	NOUN
sc-1172	29	67	.	.	PUNCT
sc-1172	30	1	valuetools	valuetool	VERB
sc-1172	30	2	2015	2015	NUM
sc-1172	30	3	,	,	PUNCT
sc-1172	30	4	december	december	PROPN
sc-1172	30	5	14	14	NUM
sc-1172	30	6	-	-	SYM
sc-1172	30	7	16	16	NUM
sc-1172	30	8	,	,	PUNCT
sc-1172	30	9	berlin	berlin	PROPN
sc-1172	30	10	,	,	PUNCT
sc-1172	30	11	germany	germany	PROPN
sc-1172	30	12	copyright	copyright	NOUN
sc-1172	30	13	©	©	PROPN
sc-1172	30	14	2016	2016	NUM
sc-1172	30	15	icst	icst	ADJ
sc-1172	30	16	doi	doi	NOUN
sc-1172	30	17	10.4108	10.4108	NUM
sc-1172	30	18	/	/	SYM
sc-1172	30	19	eai.14	eai.14	NOUN
sc-1172	30	20	-	-	ADJ
sc-1172	30	21	12	12	NUM
sc-1172	30	22	-	-	PUNCT
sc-1172	30	23	2015.2262564	2015.2262564	NOUN
sc-1172	30	24	in	in	ADP
sc-1172	30	25	[	[	X
sc-1172	30	26	6	6	NUM
sc-1172	30	27	]	]	PUNCT
sc-1172	30	28	the	the	DET
sc-1172	30	29	model	model	NOUN
sc-1172	30	30	was	be	AUX
sc-1172	30	31	extended	extend	VERB
sc-1172	30	32	with	with	ADP
sc-1172	30	33	an	an	DET
sc-1172	30	34	extra	extra	ADJ
sc-1172	30	35	parameter	parameter	NOUN
sc-1172	30	36	t	t	PROPN
sc-1172	30	37	,	,	PUNCT
sc-1172	30	38	where	where	SCONJ
sc-1172	30	39	a	a	DET
sc-1172	30	40	node	node	NOUN
sc-1172	30	41	is	be	AUX
sc-1172	30	42	considered	consider	VERB
sc-1172	30	43	highly	highly	ADV
sc-1172	30	44	loaded	load	VERB
sc-1172	30	45	if	if	SCONJ
sc-1172	30	46	it	it	PRON
sc-1172	30	47	has	have	VERB
sc-1172	30	48	more	more	ADJ
sc-1172	30	49	than	than	ADP
sc-1172	30	50	t	t	NOUN
sc-1172	30	51	jobs	job	NOUN
sc-1172	30	52	.	.	PUNCT
sc-1172	31	1	this	this	PRON
sc-1172	31	2	allowed	allow	VERB
sc-1172	31	3	the	the	DET
sc-1172	31	4	construction	construction	NOUN
sc-1172	31	5	of	of	ADP
sc-1172	31	6	the	the	DET
sc-1172	31	7	max	max	ADJ
sc-1172	31	8	-	-	PUNCT
sc-1172	31	9	push	push	ADJ
sc-1172	31	10	strategy	strategy	NOUN
sc-1172	31	11	that	that	PRON
sc-1172	31	12	extended	extend	VERB
sc-1172	31	13	the	the	DET
sc-1172	31	14	range	range	NOUN
sc-1172	31	15	of	of	ADP
sc-1172	31	16	λ	λ	NOUN
sc-1172	31	17	values	value	NOUN
sc-1172	31	18	where	where	SCONJ
sc-1172	31	19	the	the	DET
sc-1172	31	20	push	push	NOUN
sc-1172	31	21	variants	variant	NOUN
sc-1172	31	22	outperformed	outperform	VERB
sc-1172	31	23	the	the	DET
sc-1172	31	24	pull	pull	NOUN
sc-1172	31	25	strategy	strategy	NOUN
sc-1172	31	26	.	.	PUNCT
sc-1172	32	1	all	all	DET
sc-1172	32	2	prior	prior	ADJ
sc-1172	32	3	work	work	NOUN
sc-1172	32	4	,	,	PUNCT
sc-1172	32	5	including	include	VERB
sc-1172	32	6	[	[	X
sc-1172	32	7	5	5	NUM
sc-1172	32	8	,	,	PUNCT
sc-1172	32	9	6	6	NUM
sc-1172	32	10	]	]	PUNCT
sc-1172	32	11	,	,	PUNCT
sc-1172	32	12	assumed	assume	VERB
sc-1172	32	13	zero	zero	NUM
sc-1172	32	14	cost	cost	NOUN
sc-1172	32	15	for	for	ADP
sc-1172	32	16	job	job	NOUN
sc-1172	32	17	transfers	transfer	NOUN
sc-1172	32	18	,	,	PUNCT
sc-1172	32	19	which	which	PRON
sc-1172	32	20	is	be	AUX
sc-1172	32	21	not	not	PART
sc-1172	32	22	always	always	ADV
sc-1172	32	23	realistic	realistic	ADJ
sc-1172	32	24	.	.	PUNCT
sc-1172	33	1	when	when	SCONJ
sc-1172	33	2	jobs	job	NOUN
sc-1172	33	3	are	be	AUX
sc-1172	33	4	difficult	difficult	ADJ
sc-1172	33	5	to	to	PART
sc-1172	33	6	migrate	migrate	VERB
sc-1172	33	7	,	,	PUNCT
sc-1172	33	8	it	it	PRON
sc-1172	33	9	would	would	AUX
sc-1172	33	10	be	be	AUX
sc-1172	33	11	desirable	desirable	ADJ
sc-1172	33	12	to	to	PART
sc-1172	33	13	be	be	AUX
sc-1172	33	14	able	able	ADJ
sc-1172	33	15	to	to	PART
sc-1172	33	16	limit	limit	VERB
sc-1172	33	17	migrations	migration	NOUN
sc-1172	33	18	to	to	ADP
sc-1172	33	19	a	a	DET
sc-1172	33	20	predefined	predefine	VERB
sc-1172	33	21	overall	overall	ADJ
sc-1172	33	22	migration	migration	NOUN
sc-1172	33	23	rate	rate	NOUN
sc-1172	33	24	m	m	VERB
sc-1172	33	25	,	,	PUNCT
sc-1172	33	26	while	while	SCONJ
sc-1172	33	27	not	not	PART
sc-1172	33	28	exceeding	exceed	VERB
sc-1172	33	29	the	the	DET
sc-1172	33	30	predefined	predefine	VERB
sc-1172	33	31	overall	overall	ADJ
sc-1172	33	32	probe	probe	NOUN
sc-1172	33	33	rate	rate	NOUN
sc-1172	33	34	r.	r.	PROPN
sc-1172	33	35	this	this	DET
sc-1172	33	36	paper	paper	NOUN
sc-1172	33	37	makes	make	VERB
sc-1172	33	38	the	the	DET
sc-1172	33	39	following	follow	VERB
sc-1172	33	40	contributions	contribution	NOUN
sc-1172	33	41	:	:	PUNCT
sc-1172	34	1	1	1	X
sc-1172	34	2	.	.	X
sc-1172	34	3	we	we	PRON
sc-1172	34	4	indicate	indicate	VERB
sc-1172	34	5	how	how	SCONJ
sc-1172	34	6	to	to	PART
sc-1172	34	7	set	set	VERB
sc-1172	34	8	the	the	DET
sc-1172	34	9	parameter	parameter	NOUN
sc-1172	34	10	r	r	NOUN
sc-1172	34	11	(	(	PUNCT
sc-1172	34	12	and	and	CCONJ
sc-1172	34	13	t	t	PROPN
sc-1172	34	14	)	)	PUNCT
sc-1172	34	15	of	of	ADP
sc-1172	34	16	the	the	DET
sc-1172	34	17	push	push	NOUN
sc-1172	34	18	,	,	PUNCT
sc-1172	34	19	pull	pull	VERB
sc-1172	34	20	and	and	CCONJ
sc-1172	34	21	max	max	ADJ
sc-1172	34	22	-	-	PUNCT
sc-1172	34	23	push	push	ADJ
sc-1172	34	24	strategy	strategy	NOUN
sc-1172	34	25	to	to	PART
sc-1172	34	26	match	match	VERB
sc-1172	34	27	any	any	DET
sc-1172	34	28	predefined	predefine	VERB
sc-1172	34	29	migration	migration	NOUN
sc-1172	34	30	rate	rate	NOUN
sc-1172	34	31	m	m	NOUN
sc-1172	34	32	.	.	PUNCT
sc-1172	35	1	2	2	X
sc-1172	35	2	.	.	X
sc-1172	35	3	we	we	PRON
sc-1172	35	4	argue	argue	VERB
sc-1172	35	5	that	that	SCONJ
sc-1172	35	6	setting	set	VERB
sc-1172	35	7	t	t	NOUN
sc-1172	35	8	=	=	SYM
sc-1172	35	9	1	1	NUM
sc-1172	35	10	for	for	ADP
sc-1172	35	11	the	the	DET
sc-1172	35	12	pull	pull	NOUN
sc-1172	35	13	strategy	strategy	NOUN
sc-1172	35	14	is	be	AUX
sc-1172	35	15	no	no	ADV
sc-1172	35	16	longer	long	ADV
sc-1172	35	17	optimal	optimal	ADJ
sc-1172	35	18	when	when	SCONJ
sc-1172	35	19	an	an	DET
sc-1172	35	20	overall	overall	ADJ
sc-1172	35	21	migration	migration	NOUN
sc-1172	35	22	limit	limit	NOUN
sc-1172	35	23	m	m	VERB
sc-1172	35	24	is	be	AUX
sc-1172	35	25	considered	consider	VERB
sc-1172	35	26	,	,	PUNCT
sc-1172	35	27	as	as	SCONJ
sc-1172	35	28	was	be	AUX
sc-1172	35	29	the	the	DET
sc-1172	35	30	case	case	NOUN
sc-1172	35	31	in	in	ADP
sc-1172	35	32	[	[	X
sc-1172	35	33	6	6	NUM
sc-1172	35	34	]	]	PUNCT
sc-1172	35	35	and	and	CCONJ
sc-1172	35	36	introduce	introduce	VERB
sc-1172	35	37	a	a	DET
sc-1172	35	38	new	new	ADJ
sc-1172	35	39	pull	pull	NOUN
sc-1172	35	40	strategy	strategy	NOUN
sc-1172	35	41	,	,	PUNCT
sc-1172	35	42	called	call	VERB
sc-1172	35	43	the	the	DET
sc-1172	35	44	conditional	conditional	ADJ
sc-1172	35	45	-	-	PUNCT
sc-1172	35	46	pull	pull	ADJ
sc-1172	35	47	strategy	strategy	NOUN
sc-1172	35	48	.	.	PUNCT
sc-1172	36	1	3	3	X
sc-1172	36	2	.	.	X
sc-1172	36	3	we	we	PRON
sc-1172	36	4	show	show	VERB
sc-1172	36	5	that	that	SCONJ
sc-1172	36	6	the	the	DET
sc-1172	36	7	conditional	conditional	ADJ
sc-1172	36	8	-	-	PUNCT
sc-1172	36	9	pull	pull	ADJ
sc-1172	36	10	strategy	strategy	NOUN
sc-1172	36	11	is	be	AUX
sc-1172	36	12	equivalent	equivalent	ADJ
sc-1172	36	13	in	in	ADP
sc-1172	36	14	stationary	stationary	ADJ
sc-1172	36	15	queue	queue	NOUN
sc-1172	36	16	length	length	NOUN
sc-1172	36	17	distribution	distribution	NOUN
sc-1172	36	18	to	to	ADP
sc-1172	36	19	the	the	DET
sc-1172	36	20	maxpush	maxpush	VERB
sc-1172	36	21	variant	variant	NOUN
sc-1172	36	22	when	when	SCONJ
sc-1172	36	23	the	the	DET
sc-1172	36	24	overall	overall	ADJ
sc-1172	36	25	probe	probe	NOUN
sc-1172	36	26	rate	rate	NOUN
sc-1172	36	27	r	r	NOUN
sc-1172	36	28	tends	tend	VERB
sc-1172	36	29	to	to	PART
sc-1172	36	30	infinity	infinity	VERB
sc-1172	36	31	,	,	PUNCT
sc-1172	36	32	i.e.	i.e.	X
sc-1172	36	33	,	,	PUNCT
sc-1172	36	34	when	when	SCONJ
sc-1172	36	35	only	only	ADV
sc-1172	36	36	an	an	DET
sc-1172	36	37	overall	overall	ADJ
sc-1172	36	38	migration	migration	NOUN
sc-1172	36	39	limit	limit	NOUN
sc-1172	36	40	m	m	VERB
sc-1172	36	41	is	be	AUX
sc-1172	36	42	considered	consider	VERB
sc-1172	36	43	.	.	PUNCT
sc-1172	37	1	4	4	X
sc-1172	37	2	.	.	X
sc-1172	37	3	we	we	PRON
sc-1172	37	4	consider	consider	VERB
sc-1172	37	5	a	a	DET
sc-1172	37	6	system	system	NOUN
sc-1172	37	7	where	where	SCONJ
sc-1172	37	8	both	both	PRON
sc-1172	37	9	an	an	DET
sc-1172	37	10	overall	overall	ADJ
sc-1172	37	11	probe	probe	NOUN
sc-1172	37	12	limit	limit	NOUN
sc-1172	37	13	(	(	PUNCT
sc-1172	37	14	r	r	NOUN
sc-1172	37	15	)	)	PUNCT
sc-1172	37	16	and	and	CCONJ
sc-1172	37	17	an	an	DET
sc-1172	37	18	overall	overall	ADJ
sc-1172	37	19	migration	migration	NOUN
sc-1172	37	20	limit	limit	NOUN
sc-1172	37	21	(	(	PUNCT
sc-1172	37	22	m	m	NOUN
sc-1172	37	23	)	)	PUNCT
sc-1172	37	24	are	be	AUX
sc-1172	37	25	imposed	impose	VERB
sc-1172	37	26	.	.	PUNCT
sc-1172	38	1	for	for	ADP
sc-1172	38	2	this	this	DET
sc-1172	38	3	system	system	NOUN
sc-1172	38	4	we	we	PRON
sc-1172	38	5	compare	compare	VERB
sc-1172	38	6	the	the	DET
sc-1172	38	7	performance	performance	NOUN
sc-1172	38	8	of	of	ADP
sc-1172	38	9	push	push	NOUN
sc-1172	38	10	and	and	CCONJ
sc-1172	38	11	pull	pull	VERB
sc-1172	38	12	strategies	strategy	NOUN
sc-1172	38	13	.	.	PUNCT
sc-1172	39	1	we	we	PRON
sc-1172	39	2	find	find	VERB
sc-1172	39	3	that	that	SCONJ
sc-1172	39	4	even	even	ADV
sc-1172	39	5	for	for	ADP
sc-1172	39	6	moderate	moderate	ADJ
sc-1172	39	7	r	r	NOUN
sc-1172	39	8	the	the	DET
sc-1172	39	9	conditional	conditional	ADJ
sc-1172	39	10	-	-	PUNCT
sc-1172	39	11	pull	pull	ADJ
sc-1172	39	12	performs	perform	NOUN
sc-1172	39	13	almost	almost	ADV
sc-1172	39	14	as	as	ADV
sc-1172	39	15	well	well	ADV
sc-1172	39	16	as	as	ADP
sc-1172	39	17	the	the	DET
sc-1172	39	18	max	max	NOUN
sc-1172	39	19	-	-	NOUN
sc-1172	39	20	push	push	NOUN
sc-1172	39	21	for	for	ADP
sc-1172	39	22	low	low	ADJ
sc-1172	39	23	to	to	ADP
sc-1172	39	24	moderate	moderate	ADJ
sc-1172	39	25	loads	load	NOUN
sc-1172	39	26	,	,	PUNCT
sc-1172	39	27	and	and	CCONJ
sc-1172	39	28	performs	perform	VERB
sc-1172	39	29	significantly	significantly	ADV
sc-1172	39	30	better	well	ADV
sc-1172	39	31	for	for	ADP
sc-1172	39	32	higher	high	ADJ
sc-1172	39	33	loads	load	NOUN
sc-1172	39	34	.	.	PUNCT
sc-1172	40	1	the	the	DET
sc-1172	40	2	paper	paper	NOUN
sc-1172	40	3	is	be	AUX
sc-1172	40	4	structured	structure	VERB
sc-1172	40	5	as	as	SCONJ
sc-1172	40	6	follows	follow	VERB
sc-1172	40	7	.	.	PUNCT
sc-1172	41	1	section	section	NOUN
sc-1172	41	2	2	2	NUM
sc-1172	41	3	summarizes	summarize	VERB
sc-1172	41	4	the	the	DET
sc-1172	41	5	rate	rate	NOUN
sc-1172	41	6	-	-	PUNCT
sc-1172	41	7	based	base	VERB
sc-1172	41	8	strategies	strategy	NOUN
sc-1172	41	9	considered	consider	VERB
sc-1172	41	10	in	in	ADP
sc-1172	41	11	this	this	DET
sc-1172	41	12	paper	paper	NOUN
sc-1172	41	13	.	.	PUNCT
sc-1172	42	1	in	in	ADP
sc-1172	42	2	section	section	NOUN
sc-1172	42	3	3	3	NUM
sc-1172	42	4	we	we	PRON
sc-1172	42	5	briefly	briefly	ADV
sc-1172	42	6	summarize	summarize	VERB
sc-1172	42	7	earlier	early	ADJ
sc-1172	42	8	work	work	NOUN
sc-1172	42	9	concerning	concern	VERB
sc-1172	42	10	ratebased	ratebase	VERB
sc-1172	42	11	pull	pull	VERB
sc-1172	42	12	and	and	CCONJ
sc-1172	42	13	push	push	VERB
sc-1172	42	14	strategies	strategy	NOUN
sc-1172	42	15	,	,	PUNCT
sc-1172	42	16	and	and	CCONJ
sc-1172	42	17	introduce	introduce	VERB
sc-1172	42	18	an	an	DET
sc-1172	42	19	overall	overall	ADJ
sc-1172	42	20	migration	migration	NOUN
sc-1172	42	21	limit	limit	NOUN
sc-1172	42	22	m	m	VERB
sc-1172	42	23	for	for	ADP
sc-1172	42	24	these	these	DET
sc-1172	42	25	strategies	strategy	NOUN
sc-1172	42	26	.	.	PUNCT
sc-1172	43	1	also	also	ADV
sc-1172	43	2	,	,	PUNCT
sc-1172	43	3	we	we	PRON
sc-1172	43	4	derive	derive	VERB
sc-1172	43	5	an	an	DET
sc-1172	43	6	expression	expression	NOUN
sc-1172	43	7	for	for	ADP
sc-1172	43	8	the	the	DET
sc-1172	43	9	corresponding	corresponding	ADJ
sc-1172	43	10	maximum	maximum	ADJ
sc-1172	43	11	probe	probe	NOUN
sc-1172	43	12	rate	rate	NOUN
sc-1172	43	13	rboth|m	rboth|m	NOUN
sc-1172	43	14	for	for	ADP
sc-1172	43	15	the	the	DET
sc-1172	43	16	rate	rate	NOUN
sc-1172	43	17	-	-	PUNCT
sc-1172	43	18	based	base	VERB
sc-1172	43	19	push	push	NOUN
sc-1172	43	20	and	and	CCONJ
sc-1172	43	21	pull	pull	VERB
sc-1172	43	22	,	,	PUNCT
sc-1172	43	23	and	and	CCONJ
sc-1172	43	24	rewrite	rewrite	VERB
sc-1172	43	25	the	the	DET
sc-1172	43	26	mean	mean	ADJ
sc-1172	43	27	delay	delay	NOUN
sc-1172	43	28	in	in	ADP
sc-1172	43	29	an	an	DET
sc-1172	43	30	equivalent	equivalent	ADJ
sc-1172	43	31	form	form	NOUN
sc-1172	43	32	.	.	PUNCT
sc-1172	44	1	in	in	ADP
sc-1172	44	2	section	section	NOUN
sc-1172	44	3	4	4	NUM
sc-1172	44	4	we	we	PRON
sc-1172	44	5	adapt	adapt	VERB
sc-1172	44	6	the	the	DET
sc-1172	44	7	max	max	ADJ
sc-1172	44	8	-	-	PUNCT
sc-1172	44	9	push	push	ADJ
sc-1172	44	10	strategy	strategy	NOUN
sc-1172	44	11	to	to	PART
sc-1172	44	12	match	match	VERB
sc-1172	44	13	m	m	PRON
sc-1172	44	14	by	by	ADP
sc-1172	44	15	finding	find	VERB
sc-1172	44	16	the	the	DET
sc-1172	44	17	corresponding	corresponding	ADJ
sc-1172	44	18	probe	probe	NOUN
sc-1172	44	19	rate	rate	NOUN
sc-1172	44	20	rmp|m	rmp|m	NOUN
sc-1172	44	21	,	,	PUNCT
sc-1172	44	22	after	after	ADP
sc-1172	44	23	summarizing	summarize	VERB
sc-1172	44	24	earlier	early	ADJ
sc-1172	44	25	work	work	NOUN
sc-1172	44	26	.	.	PUNCT
sc-1172	45	1	section	section	NOUN
sc-1172	45	2	5	5	NUM
sc-1172	45	3	considers	consider	VERB
sc-1172	45	4	pull	pull	VERB
sc-1172	45	5	strategies	strategy	NOUN
sc-1172	45	6	with	with	ADP
sc-1172	45	7	t	t	PROPN
sc-1172	45	8	>	>	X
sc-1172	45	9	1	1	NUM
sc-1172	45	10	,	,	PUNCT
sc-1172	45	11	and	and	CCONJ
sc-1172	45	12	introduces	introduce	VERB
sc-1172	45	13	the	the	DET
sc-1172	45	14	new	new	ADJ
sc-1172	45	15	conditional	conditional	ADJ
sc-1172	45	16	-	-	PUNCT
sc-1172	45	17	pull	pull	ADJ
sc-1172	45	18	strategy	strategy	NOUN
sc-1172	45	19	.	.	PUNCT
sc-1172	46	1	it	it	PRON
sc-1172	46	2	is	be	AUX
sc-1172	46	3	shown	show	VERB
sc-1172	46	4	that	that	SCONJ
sc-1172	46	5	the	the	DET
sc-1172	46	6	conditionalpull	conditionalpull	NOUN
sc-1172	46	7	is	be	AUX
sc-1172	46	8	equivalent	equivalent	ADJ
sc-1172	46	9	to	to	ADP
sc-1172	46	10	the	the	DET
sc-1172	46	11	max	max	ADJ
sc-1172	46	12	-	-	PUNCT
sc-1172	46	13	push	push	ADJ
sc-1172	46	14	strategy	strategy	NOUN
sc-1172	46	15	in	in	ADP
sc-1172	46	16	case	case	NOUN
sc-1172	46	17	there	there	PRON
sc-1172	46	18	is	be	VERB
sc-1172	46	19	no	no	DET
sc-1172	46	20	probe	probe	NOUN
sc-1172	46	21	limit	limit	NOUN
sc-1172	46	22	r	r	NOUN
sc-1172	46	23	and	and	CCONJ
sc-1172	46	24	only	only	ADV
sc-1172	46	25	a	a	DET
sc-1172	46	26	migration	migration	NOUN
sc-1172	46	27	limit	limit	NOUN
sc-1172	46	28	m	m	NOUN
sc-1172	46	29	.	.	PUNCT
sc-1172	47	1	in	in	ADP
sc-1172	47	2	addition	addition	NOUN
sc-1172	47	3	,	,	PUNCT
sc-1172	47	4	the	the	DET
sc-1172	47	5	infinite	infinite	ADJ
sc-1172	47	6	system	system	NOUN
sc-1172	47	7	model	model	NOUN
sc-1172	47	8	describing	describe	VERB
sc-1172	47	9	the	the	DET
sc-1172	47	10	evolution	evolution	NOUN
sc-1172	47	11	of	of	ADP
sc-1172	47	12	the	the	DET
sc-1172	47	13	conditional	conditional	ADJ
sc-1172	47	14	pull	pull	NOUN
sc-1172	47	15	strategy	strategy	NOUN
sc-1172	47	16	is	be	AUX
sc-1172	47	17	numerically	numerically	ADV
sc-1172	47	18	validated	validate	VERB
sc-1172	47	19	,	,	PUNCT
sc-1172	47	20	and	and	CCONJ
sc-1172	47	21	argued	argue	VERB
sc-1172	47	22	to	to	PART
sc-1172	47	23	be	be	AUX
sc-1172	47	24	the	the	DET
sc-1172	47	25	proper	proper	ADJ
sc-1172	47	26	limiting	limiting	NOUN
sc-1172	47	27	process	process	NOUN
sc-1172	47	28	as	as	SCONJ
sc-1172	47	29	the	the	DET
sc-1172	47	30	system	system	NOUN
sc-1172	47	31	size	size	NOUN
sc-1172	47	32	tends	tend	VERB
sc-1172	47	33	to	to	PART
sc-1172	47	34	infinity	infinity	VERB
sc-1172	47	35	.	.	PUNCT
sc-1172	48	1	finally	finally	ADV
sc-1172	48	2	,	,	PUNCT
sc-1172	48	3	we	we	PRON
sc-1172	48	4	compare	compare	VERB
sc-1172	48	5	the	the	DET
sc-1172	48	6	mean	mean	ADJ
sc-1172	48	7	delay	delay	NOUN
sc-1172	48	8	of	of	ADP
sc-1172	48	9	max	max	PROPN
sc-1172	48	10	-	-	PUNCT
sc-1172	48	11	push	push	ADJ
sc-1172	48	12	and	and	CCONJ
sc-1172	48	13	conditional	conditional	ADJ
sc-1172	48	14	-	-	ADJ
sc-1172	48	15	pull	pull	NOUN
sc-1172	48	16	in	in	ADP
sc-1172	48	17	section	section	NOUN
sc-1172	48	18	6	6	NUM
sc-1172	48	19	.	.	NOUN
sc-1172	48	20	2	2	NUM
sc-1172	48	21	.	.	X
sc-1172	48	22	rate	rate	NOUN
sc-1172	48	23	based	base	VERB
sc-1172	48	24	strategies	strategy	NOUN
sc-1172	48	25	we	we	PRON
sc-1172	48	26	consider	consider	VERB
sc-1172	48	27	a	a	DET
sc-1172	48	28	continuous	continuous	ADJ
sc-1172	48	29	-	-	PUNCT
sc-1172	48	30	time	time	NOUN
sc-1172	48	31	system	system	NOUN
sc-1172	48	32	of	of	ADP
sc-1172	48	33	n	n	DET
sc-1172	48	34	queues	queue	NOUN
sc-1172	48	35	,	,	PUNCT
sc-1172	48	36	where	where	SCONJ
sc-1172	48	37	each	each	DET
sc-1172	48	38	queue	queue	NOUN
sc-1172	48	39	has	have	VERB
sc-1172	48	40	a	a	DET
sc-1172	48	41	single	single	ADJ
sc-1172	48	42	server	server	NOUN
sc-1172	48	43	and	and	CCONJ
sc-1172	48	44	infinite	infinite	ADJ
sc-1172	48	45	buffer	buffer	NOUN
sc-1172	48	46	.	.	PUNCT
sc-1172	49	1	each	each	DET
sc-1172	49	2	queue	queue	NOUN
sc-1172	49	3	operates	operate	VERB
sc-1172	49	4	under	under	ADP
sc-1172	49	5	poisson	poisson	NOUN
sc-1172	49	6	job	job	NOUN
sc-1172	49	7	arrivals	arrival	NOUN
sc-1172	49	8	with	with	ADP
sc-1172	49	9	rate	rate	NOUN
sc-1172	49	10	λ	λ	PROPN
sc-1172	49	11	<	<	X
sc-1172	49	12	1	1	NUM
sc-1172	49	13	,	,	PUNCT
sc-1172	49	14	and	and	CCONJ
sc-1172	49	15	exponential	exponential	ADJ
sc-1172	49	16	service	service	NOUN
sc-1172	49	17	time	time	NOUN
sc-1172	49	18	with	with	ADP
sc-1172	49	19	mean	mean	NOUN
sc-1172	49	20	1	1	NUM
sc-1172	49	21	.	.	PUNCT
sc-1172	49	22	jobs	job	NOUN
sc-1172	49	23	are	be	AUX
sc-1172	49	24	processed	process	VERB
sc-1172	49	25	in	in	ADP
sc-1172	49	26	a	a	DET
sc-1172	49	27	first	first	ADJ
sc-1172	49	28	-	-	PUNCT
sc-1172	49	29	come	come	VERB
sc-1172	49	30	-	-	PUNCT
sc-1172	49	31	first	first	ADV
sc-1172	49	32	-	-	PUNCT
sc-1172	49	33	served	serve	VERB
sc-1172	49	34	order	order	NOUN
sc-1172	49	35	.	.	PUNCT
sc-1172	50	1	traditional	traditional	ADJ
sc-1172	50	2	strategies	strategy	NOUN
sc-1172	50	3	send	send	VERB
sc-1172	50	4	a	a	DET
sc-1172	50	5	maximum	maximum	NOUN
sc-1172	50	6	of	of	ADP
sc-1172	50	7	lp	lp	NOUN
sc-1172	50	8	probes	probe	NOUN
sc-1172	50	9	the	the	DET
sc-1172	50	10	instant	instant	NOUN
sc-1172	50	11	a	a	DET
sc-1172	50	12	server	server	NOUN
sc-1172	50	13	’s	’s	PART
sc-1172	50	14	last	last	ADJ
sc-1172	50	15	job	job	NOUN
sc-1172	50	16	completes	complete	VERB
sc-1172	50	17	or	or	CCONJ
sc-1172	50	18	the	the	DET
sc-1172	50	19	instant	instant	NOUN
sc-1172	50	20	a	a	DET
sc-1172	50	21	job	job	NOUN
sc-1172	50	22	arrives	arrive	VERB
sc-1172	50	23	when	when	SCONJ
sc-1172	50	24	the	the	DET
sc-1172	50	25	server	server	NOUN
sc-1172	50	26	is	be	AUX
sc-1172	50	27	already	already	ADV
sc-1172	50	28	busy	busy	ADJ
sc-1172	50	29	.	.	PUNCT
sc-1172	51	1	in	in	ADP
sc-1172	51	2	contrast	contrast	NOUN
sc-1172	51	3	,	,	PUNCT
sc-1172	51	4	under	under	ADP
sc-1172	51	5	rate	rate	NOUN
sc-1172	51	6	-	-	PUNCT
sc-1172	51	7	based	base	VERB
sc-1172	51	8	strategies	strategy	NOUN
sc-1172	51	9	probes	probe	NOUN
sc-1172	51	10	are	be	AUX
sc-1172	51	11	no	no	ADV
sc-1172	51	12	longer	long	ADV
sc-1172	51	13	sent	send	VERB
sc-1172	51	14	at	at	ADP
sc-1172	51	15	job	job	NOUN
sc-1172	51	16	arrival	arrival	NOUN
sc-1172	51	17	or	or	CCONJ
sc-1172	51	18	completion	completion	NOUN
sc-1172	51	19	times	time	NOUN
sc-1172	51	20	but	but	CCONJ
sc-1172	51	21	at	at	ADP
sc-1172	51	22	a	a	DET
sc-1172	51	23	fixed	fix	VERB
sc-1172	51	24	rate	rate	NOUN
sc-1172	51	25	r	r	NOUN
sc-1172	51	26	as	as	ADV
sc-1172	51	27	long	long	ADV
sc-1172	51	28	as	as	SCONJ
sc-1172	51	29	the	the	DET
sc-1172	51	30	server	server	NOUN
sc-1172	51	31	is	be	AUX
sc-1172	51	32	idle	idle	ADJ
sc-1172	51	33	(	(	PUNCT
sc-1172	51	34	pull	pull	NOUN
sc-1172	51	35	)	)	PUNCT
sc-1172	51	36	or	or	CCONJ
sc-1172	51	37	has	have	AUX
sc-1172	51	38	at	at	ADV
sc-1172	51	39	least	least	ADJ
sc-1172	51	40	t	t	NOUN
sc-1172	51	41	jobs	job	NOUN
sc-1172	51	42	waiting	wait	VERB
sc-1172	51	43	(	(	PUNCT
sc-1172	51	44	push	push	NOUN
sc-1172	51	45	)	)	PUNCT
sc-1172	51	46	.	.	PUNCT
sc-1172	52	1	more	more	ADV
sc-1172	52	2	formally	formally	ADV
sc-1172	52	3	,	,	PUNCT
sc-1172	52	4	probe	probe	NOUN
sc-1172	52	5	messages	message	NOUN
sc-1172	52	6	are	be	AUX
sc-1172	52	7	transmitted	transmit	VERB
sc-1172	52	8	by	by	ADP
sc-1172	52	9	a	a	DET
sc-1172	52	10	server	server	NOUN
sc-1172	52	11	according	accord	VERB
sc-1172	52	12	to	to	ADP
sc-1172	52	13	an	an	DET
sc-1172	52	14	interrupted	interrupted	ADJ
sc-1172	52	15	poisson	poisson	NOUN
sc-1172	52	16	process	process	NOUN
sc-1172	52	17	with	with	ADP
sc-1172	52	18	rate	rate	NOUN
sc-1172	52	19	r.	r.	PROPN
sc-1172	52	20	the	the	DET
sc-1172	52	21	strategies	strategy	NOUN
sc-1172	52	22	considered	consider	VERB
sc-1172	52	23	in	in	ADP
sc-1172	52	24	this	this	DET
sc-1172	52	25	paper	paper	NOUN
sc-1172	52	26	can	can	AUX
sc-1172	52	27	be	be	AUX
sc-1172	52	28	summarized	summarize	VERB
sc-1172	52	29	as	as	SCONJ
sc-1172	52	30	follows	follow	VERB
sc-1172	52	31	:	:	PUNCT
sc-1172	52	32	1	1	X
sc-1172	52	33	.	.	X
sc-1172	52	34	rate	rate	NOUN
sc-1172	52	35	-	-	PUNCT
sc-1172	52	36	based	base	VERB
sc-1172	52	37	push	push	NOUN
sc-1172	52	38	:	:	PUNCT
sc-1172	52	39	as	as	ADV
sc-1172	52	40	soon	soon	ADV
sc-1172	52	41	as	as	SCONJ
sc-1172	52	42	the	the	DET
sc-1172	52	43	queue	queue	NOUN
sc-1172	52	44	length	length	NOUN
sc-1172	52	45	exceeds	exceed	VERB
sc-1172	52	46	t	t	PROPN
sc-1172	52	47	,	,	PUNCT
sc-1172	52	48	a	a	DET
sc-1172	52	49	server	server	NOUN
sc-1172	52	50	starts	start	VERB
sc-1172	52	51	to	to	PART
sc-1172	52	52	generate	generate	VERB
sc-1172	52	53	probe	probe	NOUN
sc-1172	52	54	messages	message	NOUN
sc-1172	52	55	according	accord	VERB
sc-1172	52	56	to	to	ADP
sc-1172	52	57	a	a	DET
sc-1172	52	58	poisson	poisson	NOUN
sc-1172	52	59	process	process	NOUN
sc-1172	52	60	with	with	ADP
sc-1172	52	61	rate	rate	NOUN
sc-1172	52	62	r.	r.	PROPN
sc-1172	52	63	whenever	whenever	SCONJ
sc-1172	52	64	the	the	DET
sc-1172	52	65	queue	queue	NOUN
sc-1172	52	66	length	length	NOUN
sc-1172	52	67	drops	drop	VERB
sc-1172	52	68	below	below	ADP
sc-1172	52	69	t	t	NOUN
sc-1172	52	70	,	,	PUNCT
sc-1172	52	71	this	this	DET
sc-1172	52	72	process	process	NOUN
sc-1172	52	73	is	be	AUX
sc-1172	52	74	interrupted	interrupt	VERB
sc-1172	52	75	until	until	SCONJ
sc-1172	52	76	the	the	DET
sc-1172	52	77	queue	queue	NOUN
sc-1172	52	78	length	length	NOUN
sc-1172	52	79	exceeds	exceed	VERB
sc-1172	52	80	t	t	NOUN
sc-1172	52	81	again	again	ADV
sc-1172	52	82	.	.	PUNCT
sc-1172	53	1	the	the	DET
sc-1172	53	2	node	node	NOUN
sc-1172	53	3	that	that	PRON
sc-1172	53	4	is	be	AUX
sc-1172	53	5	probed	probe	VERB
sc-1172	53	6	is	be	AUX
sc-1172	53	7	selected	select	VERB
sc-1172	53	8	at	at	ADP
sc-1172	53	9	random	random	ADJ
sc-1172	53	10	and	and	CCONJ
sc-1172	53	11	is	be	AUX
sc-1172	53	12	only	only	ADV
sc-1172	53	13	allowed	allow	VERB
sc-1172	53	14	to	to	PART
sc-1172	53	15	accept	accept	VERB
sc-1172	53	16	a	a	DET
sc-1172	53	17	job	job	NOUN
sc-1172	53	18	if	if	SCONJ
sc-1172	53	19	it	it	PRON
sc-1172	53	20	is	be	AUX
sc-1172	53	21	idle	idle	ADJ
sc-1172	53	22	.	.	PUNCT
sc-1172	54	1	2	2	X
sc-1172	54	2	.	.	X
sc-1172	54	3	rate	rate	NOUN
sc-1172	54	4	-	-	PUNCT
sc-1172	54	5	based	base	VERB
sc-1172	54	6	pull	pull	NOUN
sc-1172	54	7	:	:	PUNCT
sc-1172	54	8	whenever	whenever	SCONJ
sc-1172	54	9	a	a	DET
sc-1172	54	10	server	server	NOUN
sc-1172	54	11	is	be	AUX
sc-1172	54	12	idle	idle	ADJ
sc-1172	54	13	it	it	PRON
sc-1172	54	14	generates	generate	VERB
sc-1172	54	15	probe	probe	NOUN
sc-1172	54	16	messages	message	NOUN
sc-1172	54	17	according	accord	VERB
sc-1172	54	18	to	to	ADP
sc-1172	54	19	a	a	DET
sc-1172	54	20	poisson	poisson	NOUN
sc-1172	54	21	process	process	NOUN
sc-1172	54	22	with	with	ADP
sc-1172	54	23	rate	rate	NOUN
sc-1172	54	24	r.	r.	PROPN
sc-1172	54	25	this	this	DET
sc-1172	54	26	process	process	NOUN
sc-1172	54	27	is	be	AUX
sc-1172	54	28	interrupted	interrupt	VERB
sc-1172	54	29	whenever	whenever	SCONJ
sc-1172	54	30	the	the	DET
sc-1172	54	31	server	server	NOUN
sc-1172	54	32	is	be	AUX
sc-1172	54	33	busy	busy	ADJ
sc-1172	54	34	.	.	PUNCT
sc-1172	55	1	the	the	DET
sc-1172	55	2	node	node	NOUN
sc-1172	55	3	that	that	PRON
sc-1172	55	4	is	be	AUX
sc-1172	55	5	probed	probe	VERB
sc-1172	55	6	is	be	AUX
sc-1172	55	7	selected	select	VERB
sc-1172	55	8	at	at	ADP
sc-1172	55	9	random	random	ADJ
sc-1172	55	10	and	and	CCONJ
sc-1172	55	11	is	be	AUX
sc-1172	55	12	only	only	ADV
sc-1172	55	13	allowed	allow	VERB
sc-1172	55	14	to	to	PART
sc-1172	55	15	transfer	transfer	VERB
sc-1172	55	16	one	one	NUM
sc-1172	55	17	of	of	ADP
sc-1172	55	18	its	its	PRON
sc-1172	55	19	jobs	job	NOUN
sc-1172	55	20	if	if	SCONJ
sc-1172	55	21	its	its	PRON
sc-1172	55	22	queue	queue	NOUN
sc-1172	55	23	length	length	NOUN
sc-1172	55	24	exceeds	exceed	VERB
sc-1172	55	25	t	t	NOUN
sc-1172	55	26	.	.	PUNCT
sc-1172	56	1	3	3	X
sc-1172	56	2	.	.	X
sc-1172	56	3	max	max	PROPN
sc-1172	56	4	-	-	PUNCT
sc-1172	56	5	push	push	NOUN
sc-1172	56	6	:	:	PUNCT
sc-1172	56	7	the	the	DET
sc-1172	56	8	instant	instant	NOUN
sc-1172	56	9	a	a	DET
sc-1172	56	10	new	new	ADJ
sc-1172	56	11	job	job	NOUN
sc-1172	56	12	arrives	arrive	VERB
sc-1172	56	13	at	at	ADP
sc-1172	56	14	a	a	DET
sc-1172	56	15	queue	queue	NOUN
sc-1172	56	16	with	with	ADP
sc-1172	56	17	length	length	NOUN
sc-1172	56	18	t	t	PROPN
sc-1172	56	19	,	,	PUNCT
sc-1172	56	20	probes	probe	NOUN
sc-1172	56	21	are	be	AUX
sc-1172	56	22	sent	send	VERB
sc-1172	56	23	at	at	ADP
sc-1172	56	24	an	an	DET
sc-1172	56	25	infinite	infinite	ADJ
sc-1172	56	26	rate	rate	NOUN
sc-1172	56	27	.	.	PUNCT
sc-1172	57	1	when	when	SCONJ
sc-1172	57	2	λ	λ	X
sc-1172	57	3	<	<	X
sc-1172	57	4	1	1	NUM
sc-1172	57	5	this	this	PRON
sc-1172	57	6	corresponds	correspond	VERB
sc-1172	57	7	to	to	ADP
sc-1172	57	8	stating	state	VERB
sc-1172	57	9	that	that	SCONJ
sc-1172	57	10	the	the	DET
sc-1172	57	11	job	job	NOUN
sc-1172	57	12	is	be	AUX
sc-1172	57	13	instantaneously	instantaneously	ADV
sc-1172	57	14	transferred	transfer	VERB
sc-1172	57	15	to	to	ADP
sc-1172	57	16	an	an	DET
sc-1172	57	17	empty	empty	ADJ
sc-1172	57	18	server	server	NOUN
sc-1172	57	19	.	.	PUNCT
sc-1172	58	1	a	a	DET
sc-1172	58	2	server	server	NOUN
sc-1172	58	3	with	with	ADP
sc-1172	58	4	t	t	PROPN
sc-1172	58	5	jobs	job	NOUN
sc-1172	58	6	in	in	ADP
sc-1172	58	7	its	its	PRON
sc-1172	58	8	queue	queue	NOUN
sc-1172	58	9	,	,	PUNCT
sc-1172	58	10	generates	generate	VERB
sc-1172	58	11	probe	probe	NOUN
sc-1172	58	12	messages	message	NOUN
sc-1172	58	13	according	accord	VERB
sc-1172	58	14	to	to	ADP
sc-1172	58	15	a	a	DET
sc-1172	58	16	poisson	poisson	NOUN
sc-1172	58	17	process	process	NOUN
sc-1172	58	18	with	with	ADP
sc-1172	58	19	rate	rate	NOUN
sc-1172	58	20	r.	r.	PROPN
sc-1172	58	21	whenever	whenever	SCONJ
sc-1172	58	22	the	the	DET
sc-1172	58	23	queue	queue	NOUN
sc-1172	58	24	length	length	NOUN
sc-1172	58	25	drops	drop	VERB
sc-1172	58	26	to	to	ADP
sc-1172	58	27	t	t	PROPN
sc-1172	58	28	−	−	PROPN
sc-1172	58	29	1	1	NUM
sc-1172	58	30	,	,	PUNCT
sc-1172	58	31	this	this	DET
sc-1172	58	32	process	process	NOUN
sc-1172	58	33	is	be	AUX
sc-1172	58	34	interrupted	interrupt	VERB
sc-1172	58	35	as	as	ADV
sc-1172	58	36	long	long	ADV
sc-1172	58	37	as	as	SCONJ
sc-1172	58	38	the	the	DET
sc-1172	58	39	queue	queue	NOUN
sc-1172	58	40	length	length	NOUN
sc-1172	58	41	remains	remain	VERB
sc-1172	58	42	below	below	ADP
sc-1172	58	43	t	t	PROPN
sc-1172	58	44	.	.	PUNCT
sc-1172	59	1	the	the	DET
sc-1172	59	2	node	node	NOUN
sc-1172	59	3	that	that	PRON
sc-1172	59	4	is	be	AUX
sc-1172	59	5	probed	probe	VERB
sc-1172	59	6	is	be	AUX
sc-1172	59	7	selected	select	VERB
sc-1172	59	8	at	at	ADP
sc-1172	59	9	random	random	ADJ
sc-1172	59	10	and	and	CCONJ
sc-1172	59	11	is	be	AUX
sc-1172	59	12	only	only	ADV
sc-1172	59	13	allowed	allow	VERB
sc-1172	59	14	to	to	PART
sc-1172	59	15	accept	accept	VERB
sc-1172	59	16	a	a	DET
sc-1172	59	17	job	job	NOUN
sc-1172	59	18	if	if	SCONJ
sc-1172	59	19	it	it	PRON
sc-1172	59	20	is	be	AUX
sc-1172	59	21	idle	idle	ADJ
sc-1172	59	22	.	.	PUNCT
sc-1172	60	1	4	4	X
sc-1172	60	2	.	.	X
sc-1172	60	3	conditional	conditional	ADJ
sc-1172	60	4	-	-	PUNCT
sc-1172	60	5	pull	pull	NOUN
sc-1172	60	6	:	:	PUNCT
sc-1172	60	7	whenever	whenever	SCONJ
sc-1172	60	8	a	a	DET
sc-1172	60	9	node	node	NOUN
sc-1172	60	10	is	be	AUX
sc-1172	60	11	idle	idle	ADJ
sc-1172	60	12	,	,	PUNCT
sc-1172	60	13	the	the	DET
sc-1172	60	14	node	node	NOUN
sc-1172	60	15	will	will	AUX
sc-1172	60	16	generate	generate	VERB
sc-1172	60	17	probe	probe	NOUN
sc-1172	60	18	messages	message	NOUN
sc-1172	60	19	according	accord	VERB
sc-1172	60	20	to	to	ADP
sc-1172	60	21	a	a	DET
sc-1172	60	22	poisson	poisson	NOUN
sc-1172	60	23	process	process	NOUN
sc-1172	60	24	with	with	ADP
sc-1172	60	25	rate	rate	NOUN
sc-1172	60	26	r.	r.	PROPN
sc-1172	60	27	this	this	DET
sc-1172	60	28	process	process	NOUN
sc-1172	60	29	is	be	AUX
sc-1172	60	30	interrupted	interrupt	VERB
sc-1172	60	31	whenever	whenever	SCONJ
sc-1172	60	32	the	the	DET
sc-1172	60	33	server	server	NOUN
sc-1172	60	34	becomes	become	VERB
sc-1172	60	35	busy	busy	ADJ
sc-1172	60	36	.	.	PUNCT
sc-1172	61	1	the	the	DET
sc-1172	61	2	probed	probe	VERB
sc-1172	61	3	node	node	NOUN
sc-1172	61	4	is	be	AUX
sc-1172	61	5	selected	select	VERB
sc-1172	61	6	at	at	ADP
sc-1172	61	7	random	random	ADJ
sc-1172	61	8	and	and	CCONJ
sc-1172	61	9	the	the	DET
sc-1172	61	10	probe	probe	NOUN
sc-1172	61	11	is	be	AUX
sc-1172	61	12	always	always	ADV
sc-1172	61	13	successful	successful	ADJ
sc-1172	61	14	if	if	SCONJ
sc-1172	61	15	there	there	PRON
sc-1172	61	16	are	be	VERB
sc-1172	61	17	at	at	ADP
sc-1172	61	18	least	least	ADJ
sc-1172	61	19	t	t	NOUN
sc-1172	61	20	jobs	job	NOUN
sc-1172	61	21	waiting	wait	VERB
sc-1172	61	22	to	to	PART
sc-1172	61	23	be	be	AUX
sc-1172	61	24	served	serve	VERB
sc-1172	61	25	,	,	PUNCT
sc-1172	61	26	and	and	CCONJ
sc-1172	61	27	successful	successful	ADJ
sc-1172	61	28	with	with	ADP
sc-1172	61	29	some	some	DET
sc-1172	61	30	probability	probability	NOUN
sc-1172	61	31	p	p	NOUN
sc-1172	61	32	(	(	PUNCT
sc-1172	61	33	matching	match	VERB
sc-1172	61	34	m	m	PRON
sc-1172	61	35	,	,	PUNCT
sc-1172	61	36	see	see	VERB
sc-1172	61	37	(	(	PUNCT
sc-1172	61	38	26	26	NUM
sc-1172	61	39	)	)	PUNCT
sc-1172	61	40	)	)	PUNCT
sc-1172	62	1	if	if	SCONJ
sc-1172	62	2	there	there	PRON
sc-1172	62	3	are	be	VERB
sc-1172	62	4	exactly	exactly	ADV
sc-1172	62	5	t	t	NOUN
sc-1172	62	6	−	−	NUM
sc-1172	62	7	1	1	NUM
sc-1172	62	8	jobs	job	NOUN
sc-1172	62	9	waiting	wait	VERB
sc-1172	62	10	to	to	PART
sc-1172	62	11	be	be	AUX
sc-1172	62	12	served	serve	VERB
sc-1172	62	13	.	.	PUNCT
sc-1172	63	1	we	we	PRON
sc-1172	63	2	do	do	AUX
sc-1172	63	3	not	not	PART
sc-1172	63	4	consider	consider	VERB
sc-1172	63	5	hybrid	hybrid	ADJ
sc-1172	63	6	strategies	strategy	NOUN
sc-1172	63	7	,	,	PUNCT
sc-1172	63	8	which	which	PRON
sc-1172	63	9	combine	combine	VERB
sc-1172	63	10	both	both	CCONJ
sc-1172	63	11	push	push	VERB
sc-1172	63	12	and	and	CCONJ
sc-1172	63	13	pull	pull	VERB
sc-1172	63	14	behavior	behavior	NOUN
sc-1172	63	15	.	.	PUNCT
sc-1172	64	1	these	these	PRON
sc-1172	64	2	were	be	AUX
sc-1172	64	3	proven	prove	VERB
sc-1172	64	4	to	to	PART
sc-1172	64	5	be	be	AUX
sc-1172	64	6	inferior	inferior	ADJ
sc-1172	64	7	to	to	ADP
sc-1172	64	8	a	a	DET
sc-1172	64	9	pure	pure	ADJ
sc-1172	64	10	push	push	NOUN
sc-1172	64	11	or	or	CCONJ
sc-1172	64	12	pull	pull	VERB
sc-1172	64	13	strategy	strategy	NOUN
sc-1172	64	14	when	when	SCONJ
sc-1172	64	15	t	t	NOUN
sc-1172	64	16	=	=	SYM
sc-1172	64	17	1	1	NUM
sc-1172	65	1	[	[	SYM
sc-1172	65	2	5	5	NUM
sc-1172	65	3	,	,	PUNCT
sc-1172	65	4	theorem	theorem	VERB
sc-1172	65	5	4	4	NUM
sc-1172	65	6	]	]	PUNCT
sc-1172	65	7	.	.	PUNCT
sc-1172	66	1	3	3	X
sc-1172	66	2	.	.	X
sc-1172	66	3	pull	pull	VERB
sc-1172	66	4	and	and	CCONJ
sc-1172	66	5	push	push	VERB
sc-1172	66	6	strategies	strategy	NOUN
sc-1172	66	7	infinite	infinite	ADJ
sc-1172	66	8	system	system	NOUN
sc-1172	66	9	models	model	NOUN
sc-1172	66	10	and	and	CCONJ
sc-1172	66	11	closed	close	VERB
sc-1172	66	12	form	form	NOUN
sc-1172	66	13	solutions	solution	NOUN
sc-1172	66	14	for	for	ADP
sc-1172	66	15	both	both	PRON
sc-1172	66	16	pull	pull	VERB
sc-1172	66	17	and	and	CCONJ
sc-1172	66	18	push	push	ADJ
sc-1172	66	19	strategies	strategy	NOUN
sc-1172	66	20	were	be	AUX
sc-1172	66	21	introduced	introduce	VERB
sc-1172	66	22	in	in	ADP
sc-1172	66	23	[	[	X
sc-1172	66	24	5	5	NUM
sc-1172	66	25	]	]	PUNCT
sc-1172	66	26	and	and	CCONJ
sc-1172	66	27	[	[	X
sc-1172	66	28	6	6	NUM
sc-1172	66	29	]	]	PUNCT
sc-1172	66	30	.	.	PUNCT
sc-1172	67	1	before	before	ADP
sc-1172	67	2	introducing	introduce	VERB
sc-1172	67	3	new	new	ADJ
sc-1172	67	4	constraints	constraint	NOUN
sc-1172	67	5	and	and	CCONJ
sc-1172	67	6	strategies	strategy	NOUN
sc-1172	67	7	,	,	PUNCT
sc-1172	67	8	we	we	PRON
sc-1172	67	9	briefly	briefly	ADV
sc-1172	67	10	summarize	summarize	VERB
sc-1172	67	11	the	the	DET
sc-1172	67	12	main	main	ADJ
sc-1172	67	13	findings	finding	NOUN
sc-1172	67	14	of	of	ADP
sc-1172	67	15	[	[	X
sc-1172	67	16	5	5	NUM
sc-1172	67	17	]	]	PUNCT
sc-1172	67	18	and	and	CCONJ
sc-1172	68	1	[	[	X
sc-1172	68	2	6	6	NUM
sc-1172	68	3	]	]	PUNCT
sc-1172	68	4	.	.	PUNCT
sc-1172	69	1	the	the	DET
sc-1172	69	2	evolution	evolution	NOUN
sc-1172	69	3	of	of	ADP
sc-1172	69	4	both	both	CCONJ
sc-1172	69	5	the	the	DET
sc-1172	69	6	rate	rate	NOUN
sc-1172	69	7	-	-	PUNCT
sc-1172	69	8	based	base	VERB
sc-1172	69	9	pull	pull	NOUN
sc-1172	69	10	and	and	CCONJ
sc-1172	69	11	push	push	VERB
sc-1172	69	12	strategy	strategy	NOUN
sc-1172	69	13	under	under	ADP
sc-1172	69	14	the	the	DET
sc-1172	69	15	infinite	infinite	ADJ
sc-1172	69	16	system	system	NOUN
sc-1172	69	17	model	model	NOUN
sc-1172	69	18	is	be	AUX
sc-1172	69	19	described	describe	VERB
sc-1172	69	20	by	by	ADP
sc-1172	69	21	a	a	DET
sc-1172	69	22	set	set	NOUN
sc-1172	69	23	of	of	ADP
sc-1172	69	24	odes	ode	NOUN
sc-1172	69	25	denoted	denote	VERB
sc-1172	69	26	as	as	ADP
sc-1172	69	27	d	d	X
sc-1172	69	28	dt	dt	X
sc-1172	69	29	x(t	x(t	PROPN
sc-1172	69	30	)	)	PUNCT
sc-1172	70	1	=	=	SYM
sc-1172	70	2	f	f	PROPN
sc-1172	70	3	(	(	PUNCT
sc-1172	70	4	x(t	x(t	PROPN
sc-1172	70	5	)	)	PUNCT
sc-1172	70	6	)	)	PUNCT
sc-1172	70	7	,	,	PUNCT
sc-1172	70	8	where	where	SCONJ
sc-1172	70	9	x(t	x(t	PROPN
sc-1172	70	10	)	)	PUNCT
sc-1172	70	11	=	=	SYM
sc-1172	70	12	(	(	PUNCT
sc-1172	70	13	x1(t	x1(t	PROPN
sc-1172	70	14	)	)	PUNCT
sc-1172	70	15	,	,	PUNCT
sc-1172	70	16	x2(t	x2(t	PROPN
sc-1172	70	17	)	)	PUNCT
sc-1172	70	18	,	,	PUNCT
sc-1172	70	19	.	.	PUNCT
sc-1172	70	20	.	.	PUNCT
sc-1172	70	21	.	.	PUNCT
sc-1172	70	22	)	)	PUNCT
sc-1172	71	1	and	and	CCONJ
sc-1172	71	2	xi(t	xi(t	NOUN
sc-1172	71	3	)	)	PUNCT
sc-1172	71	4	represents	represent	VERB
sc-1172	71	5	the	the	DET
sc-1172	71	6	fraction	fraction	NOUN
sc-1172	71	7	of	of	ADP
sc-1172	71	8	the	the	DET
sc-1172	71	9	number	number	NOUN
sc-1172	71	10	of	of	ADP
sc-1172	71	11	nodes	node	NOUN
sc-1172	71	12	with	with	ADP
sc-1172	71	13	at	at	ADV
sc-1172	71	14	least	least	ADJ
sc-1172	71	15	i	i	PRON
sc-1172	71	16	jobs	job	NOUN
sc-1172	71	17	at	at	ADP
sc-1172	71	18	time	time	NOUN
sc-1172	71	19	t.	t.	PROPN
sc-1172	71	20	from	from	ADP
sc-1172	71	21	[	[	X
sc-1172	71	22	6	6	NUM
sc-1172	71	23	,	,	PUNCT
sc-1172	71	24	theorem	theorem	ADJ
sc-1172	71	25	2	2	NUM
sc-1172	71	26	and	and	CCONJ
sc-1172	71	27	3	3	NUM
sc-1172	71	28	]	]	PUNCT
sc-1172	71	29	,	,	PUNCT
sc-1172	71	30	it	it	PRON
sc-1172	71	31	is	be	AUX
sc-1172	71	32	known	know	VERB
sc-1172	71	33	that	that	SCONJ
sc-1172	71	34	d	d	NOUN
sc-1172	71	35	dt	dt	X
sc-1172	71	36	x(t	x(t	PROPN
sc-1172	71	37	)	)	PUNCT
sc-1172	72	1	=	=	SYM
sc-1172	72	2	f	f	PROPN
sc-1172	72	3	(	(	PUNCT
sc-1172	72	4	x(t	x(t	PROPN
sc-1172	72	5	)	)	PUNCT
sc-1172	72	6	)	)	PUNCT
sc-1172	72	7	has	have	VERB
sc-1172	72	8	a	a	DET
sc-1172	72	9	unique	unique	ADJ
sc-1172	72	10	fixed	fix	VERB
sc-1172	72	11	point	point	NOUN
sc-1172	72	12	π̄	π̄	VERB
sc-1172	72	13	=	=	SYM
sc-1172	72	14	(	(	PUNCT
sc-1172	72	15	π̄1	π̄1	NOUN
sc-1172	72	16	,	,	PUNCT
sc-1172	72	17	π̄2	π̄2	NOUN
sc-1172	72	18	,	,	PUNCT
sc-1172	72	19	.	.	PUNCT
sc-1172	72	20	.	.	PUNCT
sc-1172	72	21	.	.	PUNCT
sc-1172	72	22	)	)	PUNCT
sc-1172	73	1	with	with	ADP
sc-1172	73	2	∑	∑	ADV
sc-1172	73	3	i≥1	i≥1	PROPN
sc-1172	73	4	π̄i	π̄i	PROPN
sc-1172	73	5	<	<	X
sc-1172	73	6	∞	∞	PROPN
sc-1172	73	7	that	that	PRON
sc-1172	73	8	is	be	AUX
sc-1172	73	9	a	a	DET
sc-1172	73	10	global	global	ADJ
sc-1172	73	11	attractor	attractor	NOUN
sc-1172	73	12	,	,	PUNCT
sc-1172	73	13	given	give	VERB
sc-1172	73	14	by	by	ADP
sc-1172	73	15	π̄i	π̄i	PROPN
sc-1172	73	16	=	=	SYM
sc-1172	73	17	λ	λ	PROPN
sc-1172	73	18	(	(	PUNCT
sc-1172	73	19	(	(	PUNCT
sc-1172	73	20	1	1	NUM
sc-1172	73	21	+	+	NUM
sc-1172	73	22	r)λi−1	r)λi−1	NOUN
sc-1172	73	23	−	−	PROPN
sc-1172	73	24	rλt	rλt	NOUN
sc-1172	73	25	)	)	PUNCT
sc-1172	73	26	1	1	NUM
sc-1172	74	1	+	+	CCONJ
sc-1172	74	2	r(1−	r(1−	NOUN
sc-1172	74	3	λt	λt	ADP
sc-1172	74	4	)	)	PUNCT
sc-1172	74	5	1	1	NUM
sc-1172	74	6	≤	≤	NUM
sc-1172	74	7	i	i	PRON
sc-1172	74	8	≤	≤	NOUN
sc-1172	74	9	t	t	NOUN
sc-1172	74	10	+	+	CCONJ
sc-1172	74	11	1	1	NUM
sc-1172	74	12	,	,	PUNCT
sc-1172	74	13	(	(	PUNCT
sc-1172	74	14	1	1	X
sc-1172	74	15	)	)	PUNCT
sc-1172	74	16	π̄i	π̄i	NOUN
sc-1172	74	17	=	=	SYM
sc-1172	74	18	π̄t+1	π̄t+1	X
sc-1172	74	19	(	(	PUNCT
sc-1172	74	20	λ	λ	PROPN
sc-1172	74	21	1	1	NUM
sc-1172	74	22	+	+	CCONJ
sc-1172	74	23	(	(	PUNCT
sc-1172	74	24	1−	1−	NUM
sc-1172	74	25	λ)r	λ)r	PUNCT
sc-1172	74	26	)	)	PUNCT
sc-1172	75	1	i−t−1	i−t−1	NOUN
sc-1172	76	1	i	i	PRON
sc-1172	76	2	>	>	X
sc-1172	76	3	t	t	PROPN
sc-1172	77	1	+	+	CCONJ
sc-1172	77	2	1	1	X
sc-1172	77	3	.	.	PUNCT
sc-1172	77	4	(	(	PUNCT
sc-1172	77	5	2	2	X
sc-1172	77	6	)	)	PUNCT
sc-1172	77	7	this	this	DET
sc-1172	77	8	fixed	fix	VERB
sc-1172	77	9	point	point	NOUN
sc-1172	77	10	is	be	AUX
sc-1172	77	11	used	use	VERB
sc-1172	77	12	in	in	ADP
sc-1172	77	13	conjunction	conjunction	NOUN
sc-1172	77	14	with	with	ADP
sc-1172	77	15	little	little	ADJ
sc-1172	77	16	’s	’s	PART
sc-1172	77	17	law	law	NOUN
sc-1172	77	18	in	in	ADP
sc-1172	77	19	[	[	X
sc-1172	77	20	6	6	NUM
sc-1172	77	21	,	,	PUNCT
sc-1172	77	22	corollary	corollary	ADJ
sc-1172	77	23	1	1	NUM
sc-1172	77	24	]	]	PUNCT
sc-1172	77	25	to	to	PART
sc-1172	77	26	formulate	formulate	VERB
sc-1172	77	27	the	the	DET
sc-1172	77	28	mean	mean	ADJ
sc-1172	77	29	delay	delay	NOUN
sc-1172	77	30	dboth	dboth	NOUN
sc-1172	77	31	of	of	ADP
sc-1172	77	32	a	a	DET
sc-1172	77	33	job	job	NOUN
sc-1172	77	34	under	under	ADP
sc-1172	77	35	the	the	DET
sc-1172	77	36	push	push	NOUN
sc-1172	77	37	or	or	CCONJ
sc-1172	77	38	pull	pull	VERB
sc-1172	77	39	strategy	strategy	NOUN
sc-1172	77	40	:	:	PUNCT
sc-1172	77	41	dboth	dboth	ADJ
sc-1172	77	42	=	=	SYM
sc-1172	77	43	1	1	NUM
sc-1172	77	44	1−	1−	NUM
sc-1172	77	45	λ	λ	NOUN
sc-1172	77	46	−	−	NOUN
sc-1172	78	1	rλt	rλt	NOUN
sc-1172	78	2	(	(	PUNCT
sc-1172	78	3	λ	λ	X
sc-1172	78	4	(	(	PUNCT
sc-1172	78	5	1−λ)(1+r	1−λ)(1+r	NUM
sc-1172	78	6	)	)	PUNCT
sc-1172	79	1	+	+	NUM
sc-1172	79	2	t	t	NOUN
sc-1172	79	3	)	)	PUNCT
sc-1172	79	4	1	1	NUM
sc-1172	80	1	+	+	CCONJ
sc-1172	80	2	r(1−	r(1−	NOUN
sc-1172	80	3	λt	λt	ADP
sc-1172	80	4	)	)	PUNCT
sc-1172	80	5	.	.	PUNCT
sc-1172	81	1	(	(	PUNCT
sc-1172	81	2	3	3	X
sc-1172	81	3	)	)	PUNCT
sc-1172	81	4	from	from	ADP
sc-1172	81	5	the	the	DET
sc-1172	81	6	relationships	relationship	NOUN
sc-1172	81	7	r	r	NOUN
sc-1172	81	8	=	=	SYM
sc-1172	81	9	(	(	PUNCT
sc-1172	81	10	1−	1−	NUM
sc-1172	81	11	π̄1)rpull|r	π̄1)rpull|r	PROPN
sc-1172	81	12	and	and	CCONJ
sc-1172	81	13	r	r	NOUN
sc-1172	81	14	=	=	SYM
sc-1172	81	15	rpush|rπ̄t+1	rpush|rπ̄t+1	NOUN
sc-1172	81	16	,	,	PUNCT
sc-1172	81	17	we	we	PRON
sc-1172	81	18	find	find	VERB
sc-1172	81	19	r	r	NOUN
sc-1172	81	20	=	=	SYM
sc-1172	81	21	(	(	PUNCT
sc-1172	81	22	1−	1−	NUM
sc-1172	81	23	λ)rpull|r	λ)rpull|r	PROPN
sc-1172	81	24	,	,	PUNCT
sc-1172	81	25	(	(	PUNCT
sc-1172	81	26	4	4	NUM
sc-1172	81	27	)	)	PUNCT
sc-1172	81	28	and	and	CCONJ
sc-1172	81	29	r	r	NOUN
sc-1172	81	30	=	=	SYM
sc-1172	81	31	λt+1	λt+1	X
sc-1172	81	32	(	(	PUNCT
sc-1172	81	33	1−	1−	NUM
sc-1172	81	34	λt	λt	ADP
sc-1172	81	35	)	)	PUNCT
sc-1172	82	1	+	+	CCONJ
sc-1172	82	2	1	1	NUM
sc-1172	82	3	/	/	SYM
sc-1172	82	4	rpush|r	rpush|r	NOUN
sc-1172	82	5	.	.	PUNCT
sc-1172	83	1	(	(	PUNCT
sc-1172	83	2	5	5	X
sc-1172	83	3	)	)	PUNCT
sc-1172	83	4	it	it	PRON
sc-1172	83	5	follows	follow	VERB
sc-1172	83	6	that	that	SCONJ
sc-1172	83	7	whenever	whenever	SCONJ
sc-1172	83	8	r	r	NOUN
sc-1172	83	9	>	>	X
sc-1172	83	10	λt+1/(1−λt	λt+1/(1−λt	NOUN
sc-1172	83	11	)	)	PUNCT
sc-1172	83	12	,	,	PUNCT
sc-1172	83	13	the	the	DET
sc-1172	83	14	rate	rate	NOUN
sc-1172	83	15	rpush|r	rpush|r	NOUN
sc-1172	83	16	can	can	AUX
sc-1172	83	17	be	be	AUX
sc-1172	83	18	chosen	choose	VERB
sc-1172	83	19	arbitrarily	arbitrarily	ADV
sc-1172	83	20	large	large	ADJ
sc-1172	83	21	(	(	PUNCT
sc-1172	83	22	i.e.	i.e.	X
sc-1172	83	23	,	,	PUNCT
sc-1172	83	24	rpush|r	rpush|r	NOUN
sc-1172	83	25	=	=	NOUN
sc-1172	83	26	∞	∞	NUM
sc-1172	83	27	)	)	PUNCT
sc-1172	83	28	.	.	PUNCT
sc-1172	84	1	3.1	3.1	NUM
sc-1172	84	2	limiting	limit	VERB
sc-1172	84	3	the	the	DET
sc-1172	84	4	overall	overall	ADJ
sc-1172	84	5	migration	migration	NOUN
sc-1172	84	6	rate	rate	NOUN
sc-1172	84	7	when	when	SCONJ
sc-1172	84	8	the	the	DET
sc-1172	84	9	overall	overall	ADJ
sc-1172	84	10	migration	migration	NOUN
sc-1172	84	11	rate	rate	NOUN
sc-1172	84	12	is	be	AUX
sc-1172	84	13	limited	limit	VERB
sc-1172	84	14	,	,	PUNCT
sc-1172	84	15	the	the	DET
sc-1172	84	16	choice	choice	NOUN
sc-1172	84	17	of	of	ADP
sc-1172	84	18	r	r	NOUN
sc-1172	84	19	must	must	AUX
sc-1172	84	20	satisfy	satisfy	VERB
sc-1172	84	21	this	this	DET
sc-1172	84	22	constraint	constraint	NOUN
sc-1172	84	23	.	.	PUNCT
sc-1172	85	1	we	we	PRON
sc-1172	85	2	first	first	ADV
sc-1172	85	3	indicate	indicate	VERB
sc-1172	85	4	how	how	SCONJ
sc-1172	85	5	to	to	PART
sc-1172	85	6	set	set	VERB
sc-1172	85	7	r	r	NOUN
sc-1172	85	8	to	to	PART
sc-1172	85	9	match	match	VERB
sc-1172	85	10	m	m	PRON
sc-1172	85	11	,	,	PUNCT
sc-1172	85	12	and	and	CCONJ
sc-1172	85	13	rewrite	rewrite	VERB
sc-1172	85	14	the	the	DET
sc-1172	85	15	formula	formula	NOUN
sc-1172	85	16	for	for	ADP
sc-1172	85	17	the	the	DET
sc-1172	85	18	mean	mean	ADJ
sc-1172	85	19	delay	delay	NOUN
sc-1172	85	20	.	.	PUNCT
sc-1172	86	1	then	then	ADV
sc-1172	86	2	we	we	PRON
sc-1172	86	3	show	show	VERB
sc-1172	86	4	whether	whether	SCONJ
sc-1172	86	5	r	r	NOUN
sc-1172	86	6	or	or	CCONJ
sc-1172	86	7	m	m	VERB
sc-1172	86	8	is	be	AUX
sc-1172	86	9	the	the	DET
sc-1172	86	10	strictest	strict	ADJ
sc-1172	86	11	constraint	constraint	NOUN
sc-1172	86	12	for	for	ADP
sc-1172	86	13	a	a	DET
sc-1172	86	14	given	give	VERB
sc-1172	86	15	load	load	NOUN
sc-1172	86	16	λ	λ	PROPN
sc-1172	86	17	.	.	PUNCT
sc-1172	86	18	theorem	theorem	NOUN
sc-1172	86	19	1	1	NUM
sc-1172	86	20	.	.	PUNCT
sc-1172	87	1	both	both	DET
sc-1172	87	2	rate	rate	NOUN
sc-1172	87	3	-	-	PUNCT
sc-1172	87	4	based	base	VERB
sc-1172	87	5	pull	pull	NOUN
sc-1172	87	6	and	and	CCONJ
sc-1172	87	7	push	push	NOUN
sc-1172	87	8	strategies	strategy	NOUN
sc-1172	87	9	match	match	VERB
sc-1172	87	10	a	a	DET
sc-1172	87	11	predefined	predefine	VERB
sc-1172	87	12	migration	migration	NOUN
sc-1172	87	13	rate	rate	NOUN
sc-1172	87	14	m	m	VERB
sc-1172	87	15	by	by	ADP
sc-1172	87	16	letting	let	VERB
sc-1172	87	17	the	the	DET
sc-1172	87	18	probe	probe	NOUN
sc-1172	87	19	rate	rate	NOUN
sc-1172	87	20	r	r	NOUN
sc-1172	87	21	=	=	PUNCT
sc-1172	87	22	rboth|m	rboth|m	NOUN
sc-1172	87	23	,	,	PUNCT
sc-1172	87	24	with	with	ADP
sc-1172	87	25	rboth|m	rboth|m	NOUN
sc-1172	87	26	:	:	PUNCT
sc-1172	87	27	rboth|m	rboth|m	X
sc-1172	88	1	=	=	PUNCT
sc-1172	88	2	m	m	PROPN
sc-1172	88	3	(	(	PUNCT
sc-1172	88	4	λ(1−	λ(1−	PROPN
sc-1172	88	5	λ	λ	PROPN
sc-1172	88	6	)	)	PUNCT
sc-1172	88	7	+	+	PROPN
sc-1172	88	8	m)λt	m)λt	PROPN
sc-1172	88	9	−m	−m	NOUN
sc-1172	88	10	.	.	PUNCT
sc-1172	89	1	(	(	PUNCT
sc-1172	89	2	6	6	NUM
sc-1172	89	3	)	)	PUNCT
sc-1172	89	4	for	for	ADP
sc-1172	89	5	this	this	DET
sc-1172	89	6	setting	setting	NOUN
sc-1172	89	7	,	,	PUNCT
sc-1172	89	8	both	both	DET
sc-1172	89	9	strategies	strategy	NOUN
sc-1172	89	10	achieve	achieve	VERB
sc-1172	89	11	the	the	DET
sc-1172	89	12	same	same	ADJ
sc-1172	89	13	mean	mean	NOUN
sc-1172	89	14	delay	delay	NOUN
sc-1172	89	15	.	.	PUNCT
sc-1172	90	1	proof	proof	NOUN
sc-1172	90	2	.	.	PUNCT
sc-1172	91	1	the	the	DET
sc-1172	91	2	relationship	relationship	NOUN
sc-1172	91	3	(	(	PUNCT
sc-1172	91	4	6	6	X
sc-1172	91	5	)	)	PUNCT
sc-1172	91	6	readily	readily	ADV
sc-1172	91	7	follows	follow	VERB
sc-1172	91	8	from	from	ADP
sc-1172	91	9	the	the	DET
sc-1172	91	10	formulation	formulation	NOUN
sc-1172	91	11	of	of	ADP
sc-1172	91	12	the	the	DET
sc-1172	91	13	overall	overall	ADJ
sc-1172	91	14	migration	migration	NOUN
sc-1172	91	15	rate	rate	NOUN
sc-1172	91	16	for	for	ADP
sc-1172	91	17	both	both	DET
sc-1172	91	18	rate	rate	NOUN
sc-1172	91	19	-	-	PUNCT
sc-1172	91	20	based	base	VERB
sc-1172	91	21	strategies	strategy	NOUN
sc-1172	91	22	:	:	PUNCT
sc-1172	91	23	mboth	mboth	NOUN
sc-1172	91	24	=	=	SYM
sc-1172	91	25	r(1−	r(1−	PROPN
sc-1172	91	26	λ)λt+1	λ)λt+1	ADP
sc-1172	91	27	r(1−	r(1−	PROPN
sc-1172	91	28	λt	λt	ADP
sc-1172	91	29	)	)	PUNCT
sc-1172	92	1	+	+	CCONJ
sc-1172	92	2	1	1	X
sc-1172	92	3	.	.	PUNCT
sc-1172	93	1	(	(	PUNCT
sc-1172	93	2	7	7	NUM
sc-1172	93	3	)	)	PUNCT
sc-1172	93	4	from	from	ADP
sc-1172	93	5	a	a	DET
sc-1172	93	6	push	push	NOUN
sc-1172	93	7	perspective	perspective	NOUN
sc-1172	93	8	this	this	DET
sc-1172	93	9	equation	equation	NOUN
sc-1172	93	10	describes	describe	VERB
sc-1172	93	11	the	the	DET
sc-1172	93	12	fraction	fraction	NOUN
sc-1172	93	13	of	of	ADP
sc-1172	93	14	nodes	node	NOUN
sc-1172	93	15	with	with	ADP
sc-1172	93	16	queue	queue	NOUN
sc-1172	93	17	length	length	NOUN
sc-1172	93	18	larger	large	ADJ
sc-1172	93	19	than	than	ADP
sc-1172	93	20	or	or	CCONJ
sc-1172	93	21	equal	equal	ADJ
sc-1172	93	22	to	to	ADP
sc-1172	93	23	t	t	NOUN
sc-1172	93	24	+	+	CCONJ
sc-1172	93	25	1	1	NUM
sc-1172	93	26	(	(	PUNCT
sc-1172	93	27	π̄t+1	π̄t+1	X
sc-1172	93	28	=	=	PUNCT
sc-1172	94	1	λt+1/(1	λt+1/(1	CCONJ
sc-1172	95	1	+	+	CCONJ
sc-1172	95	2	r(1	r(1	PROPN
sc-1172	95	3	−	−	NOUN
sc-1172	95	4	λt	λt	X
sc-1172	95	5	)	)	PUNCT
sc-1172	95	6	)	)	PUNCT
sc-1172	95	7	from	from	ADP
sc-1172	95	8	(	(	PUNCT
sc-1172	95	9	1	1	NUM
sc-1172	95	10	)	)	PUNCT
sc-1172	95	11	)	)	PUNCT
sc-1172	95	12	sending	send	VERB
sc-1172	95	13	probes	probe	NOUN
sc-1172	95	14	at	at	ADP
sc-1172	95	15	rate	rate	NOUN
sc-1172	95	16	r	r	NOUN
sc-1172	95	17	,	,	PUNCT
sc-1172	95	18	succeeding	succeed	VERB
sc-1172	95	19	with	with	ADP
sc-1172	95	20	probability	probability	NOUN
sc-1172	95	21	(	(	PUNCT
sc-1172	95	22	1	1	NUM
sc-1172	95	23	−	−	PROPN
sc-1172	95	24	λ	λ	NOUN
sc-1172	95	25	)	)	PUNCT
sc-1172	95	26	.	.	PUNCT
sc-1172	96	1	for	for	ADP
sc-1172	96	2	a	a	DET
sc-1172	96	3	pull	pull	NOUN
sc-1172	96	4	strategy	strategy	NOUN
sc-1172	96	5	the	the	DET
sc-1172	96	6	overall	overall	ADJ
sc-1172	96	7	migration	migration	NOUN
sc-1172	96	8	rate	rate	NOUN
sc-1172	96	9	is	be	AUX
sc-1172	96	10	expressed	express	VERB
sc-1172	96	11	as	as	ADP
sc-1172	96	12	the	the	DET
sc-1172	96	13	fraction	fraction	NOUN
sc-1172	96	14	of	of	ADP
sc-1172	96	15	empty	empty	ADJ
sc-1172	96	16	queues	queue	NOUN
sc-1172	96	17	(	(	PUNCT
sc-1172	96	18	1	1	NUM
sc-1172	96	19	−	−	PROPN
sc-1172	96	20	λ	λ	NOUN
sc-1172	96	21	)	)	PUNCT
sc-1172	96	22	sending	send	VERB
sc-1172	96	23	probes	probe	NOUN
sc-1172	96	24	at	at	ADP
sc-1172	96	25	rate	rate	NOUN
sc-1172	96	26	r	r	NOUN
sc-1172	96	27	and	and	CCONJ
sc-1172	96	28	succeeding	succeed	VERB
sc-1172	96	29	when	when	SCONJ
sc-1172	96	30	probing	probe	VERB
sc-1172	96	31	a	a	DET
sc-1172	96	32	queue	queue	NOUN
sc-1172	96	33	of	of	ADP
sc-1172	96	34	length	length	NOUN
sc-1172	96	35	t	t	PROPN
sc-1172	96	36	+	+	CCONJ
sc-1172	96	37	1	1	NUM
sc-1172	96	38	or	or	CCONJ
sc-1172	96	39	longer	long	ADV
sc-1172	96	40	(	(	PUNCT
sc-1172	96	41	π̄t+1	π̄t+1	X
sc-1172	96	42	=	=	PUNCT
sc-1172	97	1	λt+1/(1	λt+1/(1	CCONJ
sc-1172	97	2	+	+	NUM
sc-1172	97	3	r(1−	r(1−	NOUN
sc-1172	97	4	λt	λt	ADP
sc-1172	97	5	)	)	PUNCT
sc-1172	97	6	)	)	PUNCT
sc-1172	97	7	from	from	ADP
sc-1172	97	8	(	(	PUNCT
sc-1172	97	9	1	1	NUM
sc-1172	97	10	)	)	PUNCT
sc-1172	97	11	)	)	PUNCT
sc-1172	97	12	.	.	PUNCT
sc-1172	98	1	theorem	theorem	NOUN
sc-1172	98	2	2	2	NUM
sc-1172	98	3	.	.	PUNCT
sc-1172	99	1	the	the	DET
sc-1172	99	2	mean	mean	ADJ
sc-1172	99	3	delay	delay	NOUN
sc-1172	99	4	of	of	ADP
sc-1172	99	5	rate	rate	NOUN
sc-1172	99	6	-	-	PUNCT
sc-1172	99	7	based	base	VERB
sc-1172	99	8	pull	pull	NOUN
sc-1172	99	9	and	and	CCONJ
sc-1172	99	10	push	push	NOUN
sc-1172	99	11	strategies	strategy	NOUN
sc-1172	99	12	can	can	AUX
sc-1172	99	13	be	be	AUX
sc-1172	99	14	expressed	express	VERB
sc-1172	99	15	as	as	ADP
sc-1172	99	16	dboth	dboth	ADJ
sc-1172	99	17	=	=	SYM
sc-1172	99	18	1	1	NUM
sc-1172	99	19	1−	1−	NUM
sc-1172	99	20	λ	λ	X
sc-1172	99	21	(	(	PUNCT
sc-1172	99	22	1−	1−	NUM
sc-1172	99	23	mboth	mboth	NOUN
sc-1172	99	24	λ	λ	PROPN
sc-1172	99	25	(	(	PUNCT
sc-1172	99	26	t	t	PROPN
sc-1172	99	27	+	+	NUM
sc-1172	99	28	λ	λ	X
sc-1172	99	29	(	(	PUNCT
sc-1172	99	30	1−	1−	NUM
sc-1172	99	31	λ)(1	λ)(1	X
sc-1172	100	1	+	+	CCONJ
sc-1172	100	2	r	r	NOUN
sc-1172	100	3	)	)	PUNCT
sc-1172	100	4	)	)	PUNCT
sc-1172	100	5	)	)	PUNCT
sc-1172	100	6	.	.	PUNCT
sc-1172	101	1	(	(	PUNCT
sc-1172	101	2	8)	8)	NUM
sc-1172	101	3	0.4	0.4	NUM
sc-1172	101	4	0.5	0.5	NUM
sc-1172	101	5	0.6	0.6	NUM
sc-1172	101	6	0.7	0.7	NUM
sc-1172	101	7	0.8	0.8	NUM
sc-1172	101	8	0.9	0.9	NUM
sc-1172	101	9	1	1	NUM
sc-1172	101	10	0	0	NUM
sc-1172	101	11	5	5	NUM
sc-1172	101	12	10	10	NUM
sc-1172	101	13	15	15	NUM
sc-1172	101	14	20	20	NUM
sc-1172	101	15	t	t	NOUN
sc-1172	101	16	1	1	NUM
sc-1172	101	17	t	t	NOUN
sc-1172	101	18	2	2	NUM
sc-1172	101	19	t	t	NOUN
sc-1172	101	20	3	3	NUM
sc-1172	101	21	t	t	NOUN
sc-1172	101	22	1	1	NUM
sc-1172	101	23	t	t	NOUN
sc-1172	101	24	2	2	NUM
sc-1172	101	25	t	t	NOUN
sc-1172	101	26	3	3	NUM
sc-1172	101	27	r	r	NOUN
sc-1172	101	28	push|r	push|r	NOUN
sc-1172	101	29	r	r	NOUN
sc-1172	101	30	pull|r	pull|r	PROPN
sc-1172	101	31	r	r	NOUN
sc-1172	101	32	both|m	both|m	NOUN
sc-1172	101	33	r=1	r=1	NOUN
sc-1172	101	34	m=0.125	m=0.125	NOUN
sc-1172	101	35	1−m	1−m	NUM
sc-1172	101	36	/	/	SYM
sc-1172	101	37	r	r	NOUN
sc-1172	101	38	load	load	NOUN
sc-1172	101	39	(	(	PUNCT
sc-1172	101	40	λ	λ	NOUN
sc-1172	101	41	)	)	PUNCT
sc-1172	101	42	p	p	NOUN
sc-1172	101	43	ro	ro	PROPN
sc-1172	101	44	b	b	PROPN
sc-1172	101	45	e	e	PROPN
sc-1172	101	46	r	r	VERB
sc-1172	101	47	a	a	PRON
sc-1172	101	48	te	te	PROPN
sc-1172	101	49	(	(	PUNCT
sc-1172	101	50	r	r	NOUN
sc-1172	101	51	)	)	PUNCT
sc-1172	101	52	figure	figure	NOUN
sc-1172	101	53	1	1	NUM
sc-1172	101	54	:	:	PUNCT
sc-1172	101	55	the	the	DET
sc-1172	101	56	probe	probe	NOUN
sc-1172	101	57	rates	rate	NOUN
sc-1172	101	58	r	r	PRON
sc-1172	101	59	imposed	impose	VERB
sc-1172	101	60	by	by	ADP
sc-1172	101	61	either	either	CCONJ
sc-1172	101	62	the	the	DET
sc-1172	101	63	probe	probe	NOUN
sc-1172	101	64	limit	limit	NOUN
sc-1172	101	65	r	r	NOUN
sc-1172	101	66	=	=	SYM
sc-1172	101	67	1	1	NUM
sc-1172	101	68	for	for	ADP
sc-1172	101	69	push	push	NOUN
sc-1172	101	70	(	(	PUNCT
sc-1172	101	71	dot	dot	NOUN
sc-1172	101	72	-	-	PUNCT
sc-1172	101	73	dashed	dash	VERB
sc-1172	101	74	)	)	PUNCT
sc-1172	101	75	and	and	CCONJ
sc-1172	101	76	pull	pull	VERB
sc-1172	101	77	(	(	PUNCT
sc-1172	101	78	dashed	dash	VERB
sc-1172	101	79	)	)	PUNCT
sc-1172	101	80	,	,	PUNCT
sc-1172	101	81	or	or	CCONJ
sc-1172	101	82	migration	migration	NOUN
sc-1172	101	83	limit	limit	NOUN
sc-1172	101	84	m	m	NOUN
sc-1172	101	85	=	=	SYM
sc-1172	101	86	1/8	1/8	NUM
sc-1172	101	87	(	(	PUNCT
sc-1172	101	88	full	full	ADJ
sc-1172	101	89	)	)	PUNCT
sc-1172	101	90	,	,	PUNCT
sc-1172	101	91	for	for	ADP
sc-1172	101	92	t	t	NOUN
sc-1172	101	93	=	=	SYM
sc-1172	101	94	1	1	NUM
sc-1172	101	95	,	,	PUNCT
sc-1172	101	96	2	2	NUM
sc-1172	101	97	,	,	PUNCT
sc-1172	101	98	3	3	NUM
sc-1172	101	99	.	.	X
sc-1172	101	100	note	note	NOUN
sc-1172	101	101	that	that	SCONJ
sc-1172	101	102	rpull|r	rpull|r	PROPN
sc-1172	101	103	is	be	AUX
sc-1172	101	104	independent	independent	ADJ
sc-1172	101	105	of	of	ADP
sc-1172	101	106	t	t	PROPN
sc-1172	101	107	.	.	PUNCT
sc-1172	102	1	proof	proof	NOUN
sc-1172	102	2	.	.	PUNCT
sc-1172	103	1	equation	equation	NOUN
sc-1172	103	2	(	(	PUNCT
sc-1172	103	3	8)	8)	NUM
sc-1172	103	4	follows	follow	VERB
sc-1172	103	5	by	by	ADP
sc-1172	103	6	rewriting	rewrite	VERB
sc-1172	103	7	(	(	PUNCT
sc-1172	103	8	7	7	NUM
sc-1172	103	9	)	)	PUNCT
sc-1172	103	10	to	to	PART
sc-1172	103	11	rλt	rλt	VERB
sc-1172	103	12	1	1	NUM
sc-1172	103	13	+	+	NUM
sc-1172	103	14	r(1−	r(1−	NOUN
sc-1172	103	15	λt	λt	ADP
sc-1172	103	16	)	)	PUNCT
sc-1172	103	17	=	=	PUNCT
sc-1172	103	18	mboth	mboth	NOUN
sc-1172	103	19	λ(1−	λ(1−	PROPN
sc-1172	103	20	λ	λ	PROPN
sc-1172	103	21	)	)	PUNCT
sc-1172	103	22	,	,	PUNCT
sc-1172	103	23	and	and	CCONJ
sc-1172	103	24	substituting	substitute	VERB
sc-1172	103	25	this	this	DET
sc-1172	103	26	expression	expression	NOUN
sc-1172	103	27	in	in	ADP
sc-1172	103	28	(	(	PUNCT
sc-1172	103	29	3	3	NUM
sc-1172	103	30	)	)	PUNCT
sc-1172	103	31	.	.	PUNCT
sc-1172	104	1	the	the	DET
sc-1172	104	2	previous	previous	ADJ
sc-1172	104	3	theorem	theorem	NOUN
sc-1172	104	4	shows	show	VERB
sc-1172	104	5	that	that	SCONJ
sc-1172	104	6	the	the	DET
sc-1172	104	7	improvement	improvement	NOUN
sc-1172	104	8	in	in	ADP
sc-1172	104	9	mean	mean	ADJ
sc-1172	104	10	delay	delay	NOUN
sc-1172	104	11	compared	compare	VERB
sc-1172	104	12	to	to	ADP
sc-1172	104	13	a	a	DET
sc-1172	104	14	standard	standard	ADJ
sc-1172	104	15	m	m	NOUN
sc-1172	104	16	/	/	SYM
sc-1172	104	17	m/1	m/1	NOUN
sc-1172	104	18	queue	queue	NOUN
sc-1172	104	19	,	,	PUNCT
sc-1172	104	20	can	can	AUX
sc-1172	104	21	be	be	AUX
sc-1172	104	22	expressed	express	VERB
sc-1172	104	23	as	as	ADP
sc-1172	104	24	a	a	DET
sc-1172	104	25	migration	migration	NOUN
sc-1172	104	26	frequency	frequency	NOUN
sc-1172	104	27	(	(	PUNCT
sc-1172	104	28	m	m	NOUN
sc-1172	104	29	/	/	SYM
sc-1172	104	30	λ	λ	NOUN
sc-1172	104	31	)	)	PUNCT
sc-1172	104	32	times	time	VERB
sc-1172	104	33	a	a	DET
sc-1172	104	34	migration	migration	NOUN
sc-1172	104	35	gain	gain	NOUN
sc-1172	104	36	(	(	PUNCT
sc-1172	104	37	t	t	NOUN
sc-1172	104	38	+	+	X
sc-1172	104	39	λ/((1−	λ/((1−	PROPN
sc-1172	104	40	λ)(1	λ)(1	X
sc-1172	105	1	+	+	X
sc-1172	105	2	r	r	NOUN
sc-1172	105	3	)	)	PUNCT
sc-1172	105	4	)	)	PUNCT
sc-1172	105	5	)	)	PUNCT
sc-1172	105	6	.	.	PUNCT
sc-1172	106	1	the	the	DET
sc-1172	106	2	migration	migration	NOUN
sc-1172	106	3	frequency	frequency	NOUN
sc-1172	106	4	denotes	denote	VERB
sc-1172	106	5	how	how	SCONJ
sc-1172	106	6	many	many	ADJ
sc-1172	106	7	migrations	migration	NOUN
sc-1172	106	8	per	per	ADP
sc-1172	106	9	job	job	NOUN
sc-1172	106	10	take	take	VERB
sc-1172	106	11	place	place	NOUN
sc-1172	106	12	on	on	ADP
sc-1172	106	13	average	average	ADJ
sc-1172	106	14	.	.	PUNCT
sc-1172	107	1	the	the	DET
sc-1172	107	2	migration	migration	NOUN
sc-1172	107	3	gain	gain	NOUN
sc-1172	107	4	quantifies	quantifie	NOUN
sc-1172	107	5	the	the	DET
sc-1172	107	6	number	number	NOUN
sc-1172	107	7	of	of	ADP
sc-1172	107	8	places	place	NOUN
sc-1172	107	9	in	in	ADP
sc-1172	107	10	the	the	DET
sc-1172	107	11	queue	queue	NOUN
sc-1172	107	12	the	the	DET
sc-1172	107	13	migrating	migrating	NOUN
sc-1172	107	14	job	job	NOUN
sc-1172	107	15	skips	skip	VERB
sc-1172	107	16	.	.	PUNCT
sc-1172	108	1	all	all	DET
sc-1172	108	2	migrating	migrate	VERB
sc-1172	108	3	jobs	job	NOUN
sc-1172	108	4	skip	skip	VERB
sc-1172	108	5	at	at	ADP
sc-1172	108	6	least	least	ADJ
sc-1172	108	7	t	t	NOUN
sc-1172	108	8	places	place	NOUN
sc-1172	108	9	by	by	ADP
sc-1172	108	10	construction	construction	NOUN
sc-1172	108	11	of	of	ADP
sc-1172	108	12	the	the	DET
sc-1172	108	13	strategy	strategy	NOUN
sc-1172	108	14	,	,	PUNCT
sc-1172	108	15	and	and	CCONJ
sc-1172	108	16	skip	skip	VERB
sc-1172	108	17	more	more	ADJ
sc-1172	108	18	places	place	NOUN
sc-1172	108	19	depending	depend	VERB
sc-1172	108	20	on	on	ADP
sc-1172	108	21	the	the	DET
sc-1172	108	22	queue	queue	NOUN
sc-1172	108	23	length	length	NOUN
sc-1172	108	24	of	of	ADP
sc-1172	108	25	the	the	DET
sc-1172	108	26	job	job	NOUN
sc-1172	108	27	sender	sender	NOUN
sc-1172	108	28	.	.	PUNCT
sc-1172	109	1	the	the	DET
sc-1172	109	2	average	average	ADJ
sc-1172	109	3	number	number	NOUN
sc-1172	109	4	of	of	ADP
sc-1172	109	5	places	place	NOUN
sc-1172	109	6	skipped	skip	VERB
sc-1172	109	7	above	above	ADP
sc-1172	109	8	t	t	PROPN
sc-1172	109	9	equals	equal	VERB
sc-1172	109	10	the	the	DET
sc-1172	109	11	average	average	ADJ
sc-1172	109	12	number	number	NOUN
sc-1172	109	13	of	of	ADP
sc-1172	109	14	customers	customer	NOUN
sc-1172	109	15	in	in	ADP
sc-1172	109	16	an	an	DET
sc-1172	109	17	m	m	NOUN
sc-1172	109	18	/	/	SYM
sc-1172	109	19	m/1	m/1	NOUN
sc-1172	109	20	queue	queue	NOUN
sc-1172	109	21	with	with	ADP
sc-1172	109	22	service	service	NOUN
sc-1172	109	23	rate	rate	NOUN
sc-1172	109	24	1	1	NUM
sc-1172	109	25	+	+	CCONJ
sc-1172	109	26	r(1−	r(1−	PROPN
sc-1172	109	27	λ	λ	PROPN
sc-1172	109	28	)	)	PUNCT
sc-1172	109	29	,	,	PUNCT
sc-1172	109	30	which	which	PRON
sc-1172	109	31	equals	equal	VERB
sc-1172	109	32	λ/((1−	λ/((1−	PROPN
sc-1172	109	33	λ)(1	λ)(1	X
sc-1172	110	1	+	+	X
sc-1172	110	2	r	r	NOUN
sc-1172	110	3	)	)	PUNCT
sc-1172	110	4	)	)	PUNCT
sc-1172	110	5	.	.	PUNCT
sc-1172	111	1	both	both	CCONJ
sc-1172	111	2	the	the	DET
sc-1172	111	3	overall	overall	ADJ
sc-1172	111	4	migration	migration	NOUN
sc-1172	111	5	limit	limit	NOUN
sc-1172	111	6	m	m	VERB
sc-1172	111	7	and	and	CCONJ
sc-1172	111	8	the	the	DET
sc-1172	111	9	overall	overall	ADJ
sc-1172	111	10	probe	probe	NOUN
sc-1172	111	11	limit	limit	NOUN
sc-1172	111	12	r	r	NOUN
sc-1172	111	13	impose	impose	VERB
sc-1172	111	14	a	a	DET
sc-1172	111	15	maximum	maximum	NOUN
sc-1172	111	16	on	on	ADP
sc-1172	111	17	r.	r.	PROPN
sc-1172	111	18	in	in	ADP
sc-1172	111	19	case	case	NOUN
sc-1172	111	20	r	r	NOUN
sc-1172	111	21	≤m	≤m	NOUN
sc-1172	111	22	,	,	PUNCT
sc-1172	111	23	all	all	DET
sc-1172	111	24	probes	probe	NOUN
sc-1172	111	25	are	be	AUX
sc-1172	111	26	allowed	allow	VERB
sc-1172	111	27	to	to	PART
sc-1172	111	28	generate	generate	VERB
sc-1172	111	29	a	a	DET
sc-1172	111	30	migration	migration	NOUN
sc-1172	111	31	,	,	PUNCT
sc-1172	111	32	so	so	SCONJ
sc-1172	111	33	r	r	NOUN
sc-1172	111	34	will	will	AUX
sc-1172	111	35	only	only	ADV
sc-1172	111	36	be	be	AUX
sc-1172	111	37	constrained	constrain	VERB
sc-1172	111	38	by	by	ADP
sc-1172	111	39	r.	r.	PROPN
sc-1172	111	40	in	in	ADP
sc-1172	111	41	any	any	DET
sc-1172	111	42	practical	practical	ADJ
sc-1172	111	43	setting	setting	NOUN
sc-1172	111	44	there	there	PRON
sc-1172	111	45	will	will	AUX
sc-1172	111	46	be	be	AUX
sc-1172	111	47	more	more	ADJ
sc-1172	111	48	probes	probe	NOUN
sc-1172	111	49	allowed	allow	VERB
sc-1172	111	50	than	than	ADP
sc-1172	111	51	migrations	migration	NOUN
sc-1172	111	52	,	,	PUNCT
sc-1172	111	53	and	and	CCONJ
sc-1172	111	54	the	the	DET
sc-1172	111	55	probe	probe	NOUN
sc-1172	111	56	rate	rate	NOUN
sc-1172	111	57	will	will	AUX
sc-1172	111	58	be	be	AUX
sc-1172	111	59	constrained	constrain	VERB
sc-1172	111	60	by	by	ADP
sc-1172	111	61	r	r	NOUN
sc-1172	111	62	or	or	CCONJ
sc-1172	111	63	m	m	VERB
sc-1172	111	64	depending	depend	VERB
sc-1172	111	65	on	on	ADP
sc-1172	111	66	λ	λ	PROPN
sc-1172	111	67	.	.	PUNCT
sc-1172	112	1	an	an	DET
sc-1172	112	2	overview	overview	NOUN
sc-1172	112	3	of	of	ADP
sc-1172	112	4	the	the	DET
sc-1172	112	5	probe	probe	NOUN
sc-1172	112	6	rates	rate	NOUN
sc-1172	112	7	matching	match	VERB
sc-1172	112	8	r	r	NOUN
sc-1172	112	9	or	or	CCONJ
sc-1172	112	10	m	m	PRON
sc-1172	112	11	,	,	PUNCT
sc-1172	112	12	for	for	ADP
sc-1172	112	13	both	both	CCONJ
sc-1172	112	14	push	push	VERB
sc-1172	112	15	and	and	CCONJ
sc-1172	112	16	pull	pull	VERB
sc-1172	112	17	strategies	strategy	NOUN
sc-1172	112	18	with	with	ADP
sc-1172	112	19	t	t	NOUN
sc-1172	112	20	=	=	SYM
sc-1172	112	21	1	1	NUM
sc-1172	112	22	,	,	PUNCT
sc-1172	112	23	2	2	NUM
sc-1172	112	24	,	,	PUNCT
sc-1172	112	25	3	3	NUM
sc-1172	112	26	,	,	PUNCT
sc-1172	112	27	is	be	AUX
sc-1172	112	28	given	give	VERB
sc-1172	112	29	in	in	ADP
sc-1172	112	30	figure	figure	NOUN
sc-1172	112	31	1	1	NUM
sc-1172	112	32	.	.	PUNCT
sc-1172	112	33	to	to	PART
sc-1172	112	34	determine	determine	VERB
sc-1172	112	35	the	the	DET
sc-1172	112	36	range	range	NOUN
sc-1172	112	37	of	of	ADP
sc-1172	112	38	λ	λ	PROPN
sc-1172	112	39	in	in	ADP
sc-1172	112	40	which	which	PRON
sc-1172	112	41	each	each	DET
sc-1172	112	42	constraint	constraint	NOUN
sc-1172	112	43	is	be	AUX
sc-1172	112	44	most	most	ADV
sc-1172	112	45	strict	strict	ADJ
sc-1172	112	46	,	,	PUNCT
sc-1172	112	47	we	we	PRON
sc-1172	112	48	determine	determine	VERB
sc-1172	112	49	the	the	DET
sc-1172	112	50	intersection	intersection	NOUN
sc-1172	112	51	of	of	ADP
sc-1172	112	52	rboth|m	rboth|m	NOUN
sc-1172	112	53	with	with	ADP
sc-1172	112	54	rpush|r	rpush|r	NOUN
sc-1172	112	55	and	and	CCONJ
sc-1172	112	56	rpull|r	rpull|r	PROPN
sc-1172	112	57	.	.	PUNCT
sc-1172	113	1	lemma	lemma	PROPN
sc-1172	113	2	1	1	NUM
sc-1172	113	3	.	.	PUNCT
sc-1172	114	1	the	the	DET
sc-1172	114	2	probe	probe	NOUN
sc-1172	114	3	rates	rate	VERB
sc-1172	114	4	rpush|r	rpush|r	VERB
sc-1172	114	5	and	and	CCONJ
sc-1172	114	6	rboth|m	rboth|m	NOUN
sc-1172	114	7	intersect	intersect	ADJ
sc-1172	114	8	at	at	ADP
sc-1172	114	9	λ	λ	X
sc-1172	114	10	=	=	SYM
sc-1172	114	11	0	0	NUM
sc-1172	114	12	and	and	CCONJ
sc-1172	114	13	1−m	1−m	NUM
sc-1172	114	14	/	/	SYM
sc-1172	114	15	r	r	NOUN
sc-1172	114	16	only	only	ADV
sc-1172	114	17	,	,	PUNCT
sc-1172	114	18	and	and	CCONJ
sc-1172	114	19	both	both	DET
sc-1172	114	20	rates	rate	NOUN
sc-1172	114	21	are	be	AUX
sc-1172	114	22	positive	positive	ADJ
sc-1172	114	23	for	for	ADP
sc-1172	114	24	λ	λ	X
sc-1172	114	25	=	=	SYM
sc-1172	114	26	1−m	1−m	NUM
sc-1172	114	27	/	/	SYM
sc-1172	114	28	r	r	NOUN
sc-1172	114	29	if	if	SCONJ
sc-1172	114	30	and	and	CCONJ
sc-1172	114	31	only	only	ADV
sc-1172	114	32	if	if	SCONJ
sc-1172	114	33	(	(	PUNCT
sc-1172	114	34	1−	1−	NUM
sc-1172	114	35	m	m	NOUN
sc-1172	114	36	r	r	NOUN
sc-1172	114	37	)	)	PUNCT
sc-1172	114	38	t	t	NOUN
sc-1172	114	39	>	>	X
sc-1172	114	40	r2	r2	PROPN
sc-1172	114	41	r−m+r2	r−m+r2	PROPN
sc-1172	114	42	.	.	PUNCT
sc-1172	115	1	the	the	DET
sc-1172	115	2	proof	proof	NOUN
sc-1172	115	3	is	be	AUX
sc-1172	115	4	given	give	VERB
sc-1172	115	5	in	in	ADP
sc-1172	115	6	appendix	appendix	NOUN
sc-1172	115	7	a	a	PRON
sc-1172	115	8	of	of	ADP
sc-1172	115	9	[	[	X
sc-1172	115	10	7	7	NUM
sc-1172	115	11	]	]	PUNCT
sc-1172	115	12	.	.	PUNCT
sc-1172	116	1	theorem	theorem	NOUN
sc-1172	116	2	3	3	NUM
sc-1172	116	3	.	.	X
sc-1172	116	4	for	for	ADP
sc-1172	116	5	the	the	DET
sc-1172	116	6	rate	rate	NOUN
sc-1172	116	7	-	-	PUNCT
sc-1172	116	8	based	base	VERB
sc-1172	116	9	push	push	NOUN
sc-1172	116	10	strategy	strategy	NOUN
sc-1172	116	11	r	r	NOUN
sc-1172	116	12	should	should	AUX
sc-1172	116	13	be	be	AUX
sc-1172	116	14	set	set	VERB
sc-1172	116	15	as	as	SCONJ
sc-1172	116	16	follows	follow	VERB
sc-1172	116	17	in	in	ADP
sc-1172	116	18	order	order	NOUN
sc-1172	116	19	to	to	PART
sc-1172	116	20	respect	respect	VERB
sc-1172	116	21	both	both	PRON
sc-1172	116	22	the	the	DET
sc-1172	116	23	probe	probe	NOUN
sc-1172	116	24	rate	rate	NOUN
sc-1172	116	25	r	r	NOUN
sc-1172	116	26	and	and	CCONJ
sc-1172	116	27	migration	migration	NOUN
sc-1172	116	28	rate	rate	NOUN
sc-1172	117	1	m	m	PROPN
sc-1172	117	2	:	:	PUNCT
sc-1172	117	3	1	1	X
sc-1172	117	4	.	.	X
sc-1172	117	5	r	r	NOUN
sc-1172	117	6	≥	≥	NOUN
sc-1172	117	7	λt+1/(1	λt+1/(1	CCONJ
sc-1172	117	8	−	−	PROPN
sc-1172	117	9	λt	λt	X
sc-1172	117	10	)	)	PUNCT
sc-1172	117	11	and	and	CCONJ
sc-1172	117	12	m	m	PROPN
sc-1172	117	13	≥	≥	NOUN
sc-1172	117	14	λt+1(1	λt+1(1	X
sc-1172	117	15	−	−	PROPN
sc-1172	118	1	λ)/(1	λ)/(1	NUM
sc-1172	118	2	−	−	NOUN
sc-1172	118	3	λt	λt	INTJ
sc-1172	118	4	):	):	PUNCT
sc-1172	118	5	r	r	NOUN
sc-1172	118	6	can	can	AUX
sc-1172	118	7	be	be	AUX
sc-1172	118	8	arbitrarily	arbitrarily	ADV
sc-1172	118	9	large	large	ADJ
sc-1172	118	10	.	.	PUNCT
sc-1172	119	1	2	2	X
sc-1172	119	2	.	.	X
sc-1172	119	3	r	r	NOUN
sc-1172	119	4	≥	≥	NOUN
sc-1172	119	5	λt+1/(1	λt+1/(1	CCONJ
sc-1172	119	6	−	−	PROPN
sc-1172	119	7	λt	λt	X
sc-1172	119	8	)	)	PUNCT
sc-1172	119	9	and	and	CCONJ
sc-1172	119	10	m	m	VERB
sc-1172	119	11	<	<	X
sc-1172	119	12	λt+1(1	λt+1(1	X
sc-1172	119	13	−	−	PROPN
sc-1172	120	1	λ)/(1	λ)/(1	NUM
sc-1172	120	2	−	−	NOUN
sc-1172	120	3	λt	λt	INTJ
sc-1172	120	4	):	):	PUNCT
sc-1172	120	5	r	r	NOUN
sc-1172	120	6	can	can	AUX
sc-1172	120	7	be	be	AUX
sc-1172	120	8	at	at	ADP
sc-1172	120	9	most	most	ADJ
sc-1172	120	10	rboth|m	rboth|m	ADJ
sc-1172	120	11	.	.	PUNCT
sc-1172	121	1	3	3	X
sc-1172	121	2	.	.	X
sc-1172	121	3	r	r	NOUN
sc-1172	121	4	<	<	X
sc-1172	122	1	λt+1/(1	λt+1/(1	CCONJ
sc-1172	122	2	−	−	PROPN
sc-1172	123	1	λt	λt	ADP
sc-1172	123	2	)	)	PUNCT
sc-1172	123	3	and	and	CCONJ
sc-1172	123	4	m	m	PROPN
sc-1172	123	5	≥	≥	NOUN
sc-1172	123	6	λt+1(1	λt+1(1	X
sc-1172	123	7	−	−	PROPN
sc-1172	124	1	λ)/(1	λ)/(1	NUM
sc-1172	124	2	−	−	NOUN
sc-1172	124	3	λt	λt	INTJ
sc-1172	124	4	):	):	PUNCT
sc-1172	124	5	r	r	NOUN
sc-1172	124	6	can	can	AUX
sc-1172	124	7	be	be	AUX
sc-1172	124	8	at	at	ADP
sc-1172	124	9	most	most	ADJ
sc-1172	124	10	rpush|r	rpush|r	NOUN
sc-1172	124	11	.	.	PUNCT
sc-1172	125	1	4	4	X
sc-1172	125	2	.	.	X
sc-1172	125	3	r	r	NOUN
sc-1172	125	4	<	<	X
sc-1172	126	1	λt+1/(1	λt+1/(1	CCONJ
sc-1172	126	2	−	−	PROPN
sc-1172	127	1	λt	λt	ADP
sc-1172	127	2	)	)	PUNCT
sc-1172	127	3	and	and	CCONJ
sc-1172	127	4	m	m	VERB
sc-1172	127	5	<	<	X
sc-1172	127	6	λt+1(1	λt+1(1	X
sc-1172	127	7	−	−	PROPN
sc-1172	128	1	λ)/(1	λ)/(1	NUM
sc-1172	128	2	−	−	PUNCT
sc-1172	128	3	λt	λt	ADP
sc-1172	128	4	):	):	PUNCT
sc-1172	128	5	let	let	VERB
sc-1172	128	6	τ	τ	X
sc-1172	128	7	=	=	PUNCT
sc-1172	128	8	(	(	PUNCT
sc-1172	128	9	1−	1−	NUM
sc-1172	128	10	m	m	NOUN
sc-1172	128	11	r	r	NOUN
sc-1172	128	12	)	)	PUNCT
sc-1172	128	13	t	t	PROPN
sc-1172	128	14	and	and	CCONJ
sc-1172	128	15	υ	υ	NOUN
sc-1172	128	16	=	=	NOUN
sc-1172	128	17	r2	r2	NOUN
sc-1172	128	18	r−m+r2	r−m+r2	NOUN
sc-1172	128	19	.	.	PUNCT
sc-1172	129	1	•	•	INTJ
sc-1172	129	2	if	if	SCONJ
sc-1172	129	3	τ	τ	PROPN
sc-1172	129	4	>	>	X
sc-1172	129	5	υ	υ	PROPN
sc-1172	129	6	,	,	PUNCT
sc-1172	129	7	r	r	NOUN
sc-1172	129	8	can	can	AUX
sc-1172	129	9	be	be	AUX
sc-1172	129	10	at	at	ADP
sc-1172	129	11	most	most	ADJ
sc-1172	129	12	rboth|m	rboth|m	ADJ
sc-1172	129	13	if	if	SCONJ
sc-1172	129	14	λ	λ	X
sc-1172	129	15	<	<	X
sc-1172	129	16	1−m	1−m	NUM
sc-1172	129	17	/	/	SYM
sc-1172	129	18	r	r	NOUN
sc-1172	129	19	and	and	CCONJ
sc-1172	129	20	at	at	ADP
sc-1172	129	21	most	most	ADJ
sc-1172	129	22	rpush|r	rpush|r	NOUN
sc-1172	129	23	otherwise	otherwise	ADV
sc-1172	129	24	.	.	PUNCT
sc-1172	130	1	•	•	INTJ
sc-1172	130	2	if	if	SCONJ
sc-1172	130	3	τ	τ	PROPN
sc-1172	130	4	≤	≤	X
sc-1172	130	5	υ	υ	NOUN
sc-1172	130	6	,	,	PUNCT
sc-1172	130	7	r	r	NOUN
sc-1172	130	8	can	can	AUX
sc-1172	130	9	be	be	AUX
sc-1172	130	10	at	at	ADP
sc-1172	130	11	most	most	ADJ
sc-1172	130	12	rpush|r	rpush|r	NOUN
sc-1172	130	13	.	.	PUNCT
sc-1172	131	1	the	the	DET
sc-1172	131	2	proof	proof	NOUN
sc-1172	131	3	is	be	AUX
sc-1172	131	4	given	give	VERB
sc-1172	131	5	in	in	ADP
sc-1172	131	6	appendix	appendix	PROPN
sc-1172	131	7	b	b	PROPN
sc-1172	131	8	of	of	ADP
sc-1172	131	9	[	[	X
sc-1172	131	10	7	7	NUM
sc-1172	131	11	]	]	PUNCT
sc-1172	131	12	.	.	PUNCT
sc-1172	132	1	lemma	lemma	PROPN
sc-1172	132	2	2	2	X
sc-1172	132	3	.	.	PUNCT
sc-1172	133	1	if	if	SCONJ
sc-1172	133	2	m	m	VERB
sc-1172	133	3	<	<	X
sc-1172	133	4	r	r	NOUN
sc-1172	133	5	1+tr	1+tr	NUM
sc-1172	133	6	,	,	PUNCT
sc-1172	133	7	rboth|m	rboth|m	NOUN
sc-1172	133	8	−	−	PROPN
sc-1172	133	9	rpull|r	rpull|r	PROPN
sc-1172	133	10	has	have	VERB
sc-1172	133	11	a	a	DET
sc-1172	133	12	unique	unique	ADJ
sc-1172	133	13	root	root	NOUN
sc-1172	133	14	λt	λt	ADP
sc-1172	133	15	in	in	ADP
sc-1172	133	16	(	(	PUNCT
sc-1172	133	17	0	0	NUM
sc-1172	133	18	,	,	PUNCT
sc-1172	133	19	1	1	NUM
sc-1172	133	20	)	)	PUNCT
sc-1172	133	21	,	,	PUNCT
sc-1172	133	22	otherwise	otherwise	ADV
sc-1172	133	23	it	it	PRON
sc-1172	133	24	has	have	VERB
sc-1172	133	25	no	no	DET
sc-1172	133	26	roots	root	NOUN
sc-1172	133	27	in	in	ADP
sc-1172	133	28	(	(	PUNCT
sc-1172	133	29	0	0	NUM
sc-1172	133	30	,	,	PUNCT
sc-1172	133	31	1	1	NUM
sc-1172	133	32	)	)	PUNCT
sc-1172	133	33	.	.	PUNCT
sc-1172	134	1	the	the	DET
sc-1172	134	2	proof	proof	NOUN
sc-1172	134	3	is	be	AUX
sc-1172	134	4	given	give	VERB
sc-1172	134	5	in	in	ADP
sc-1172	134	6	appendix	appendix	ADJ
sc-1172	134	7	c	c	NOUN
sc-1172	134	8	of	of	ADP
sc-1172	134	9	[	[	X
sc-1172	134	10	7	7	NUM
sc-1172	134	11	]	]	PUNCT
sc-1172	134	12	.	.	PUNCT
sc-1172	135	1	for	for	ADP
sc-1172	135	2	t	t	NOUN
sc-1172	135	3	=	=	SYM
sc-1172	135	4	1	1	NUM
sc-1172	135	5	,	,	PUNCT
sc-1172	135	6	the	the	DET
sc-1172	135	7	unique	unique	ADJ
sc-1172	135	8	root	root	NOUN
sc-1172	135	9	λt	λt	ADP
sc-1172	135	10	of	of	ADP
sc-1172	135	11	lemma	lemma	PROPN
sc-1172	135	12	2	2	NUM
sc-1172	135	13	reduces	reduce	VERB
sc-1172	135	14	to	to	ADP
sc-1172	135	15	λ1	λ1	PROPN
sc-1172	135	16	=	=	SYM
sc-1172	135	17	√	√	PROPN
sc-1172	135	18	m	m	VERB
sc-1172	135	19	+	+	NOUN
sc-1172	135	20	m	m	X
sc-1172	135	21	/	/	SYM
sc-1172	135	22	r.	r.	PROPN
sc-1172	135	23	however	however	ADV
sc-1172	135	24	,	,	PUNCT
sc-1172	135	25	there	there	PRON
sc-1172	135	26	seems	seem	VERB
sc-1172	135	27	to	to	PART
sc-1172	135	28	be	be	AUX
sc-1172	135	29	no	no	DET
sc-1172	135	30	closed	closed	ADJ
sc-1172	135	31	form	form	NOUN
sc-1172	135	32	expression	expression	NOUN
sc-1172	135	33	for	for	ADP
sc-1172	135	34	general	general	ADJ
sc-1172	135	35	t	t	PROPN
sc-1172	135	36	.	.	PUNCT
sc-1172	136	1	theorem	theorem	ADJ
sc-1172	136	2	4	4	NUM
sc-1172	136	3	.	.	X
sc-1172	136	4	for	for	ADP
sc-1172	136	5	the	the	DET
sc-1172	136	6	rate	rate	NOUN
sc-1172	136	7	-	-	PUNCT
sc-1172	136	8	based	base	VERB
sc-1172	136	9	pull	pull	NOUN
sc-1172	136	10	strategy	strategy	NOUN
sc-1172	136	11	r	r	NOUN
sc-1172	136	12	should	should	AUX
sc-1172	136	13	be	be	AUX
sc-1172	136	14	set	set	VERB
sc-1172	136	15	as	as	SCONJ
sc-1172	136	16	follows	follow	VERB
sc-1172	136	17	in	in	ADP
sc-1172	136	18	order	order	NOUN
sc-1172	136	19	to	to	PART
sc-1172	136	20	respect	respect	VERB
sc-1172	136	21	both	both	PRON
sc-1172	136	22	the	the	DET
sc-1172	136	23	probe	probe	NOUN
sc-1172	136	24	rate	rate	NOUN
sc-1172	136	25	r	r	NOUN
sc-1172	136	26	and	and	CCONJ
sc-1172	136	27	migration	migration	NOUN
sc-1172	136	28	rate	rate	NOUN
sc-1172	137	1	m	m	PROPN
sc-1172	137	2	:	:	PUNCT
sc-1172	138	1	1	1	X
sc-1172	138	2	.	.	X
sc-1172	138	3	m	m	VERB
sc-1172	138	4	≥	≥	PRON
sc-1172	138	5	λt+1(1−	λt+1(1−	X
sc-1172	138	6	λ)/(1−	λ)/(1−	VERB
sc-1172	138	7	λt	λt	ADP
sc-1172	138	8	):	):	PUNCT
sc-1172	138	9	r	r	NOUN
sc-1172	138	10	can	can	AUX
sc-1172	138	11	be	be	AUX
sc-1172	138	12	at	at	ADP
sc-1172	138	13	most	most	ADJ
sc-1172	138	14	rpull|r	rpull|r	NOUN
sc-1172	138	15	.	.	PUNCT
sc-1172	139	1	2	2	X
sc-1172	139	2	.	.	X
sc-1172	139	3	m	m	VERB
sc-1172	139	4	<	<	X
sc-1172	139	5	λt+1(1−	λt+1(1−	X
sc-1172	139	6	λ)/(1−	λ)/(1−	VERB
sc-1172	139	7	λt	λt	ADP
sc-1172	139	8	):	):	PUNCT
sc-1172	139	9	•	•	ADP
sc-1172	139	10	if	if	SCONJ
sc-1172	139	11	the	the	DET
sc-1172	139	12	migration	migration	NOUN
sc-1172	139	13	limit	limit	NOUN
sc-1172	139	14	is	be	AUX
sc-1172	139	15	sufficiently	sufficiently	ADV
sc-1172	139	16	high	high	ADJ
sc-1172	139	17	(	(	PUNCT
sc-1172	139	18	m	m	NOUN
sc-1172	139	19	≥	≥	NOUN
sc-1172	139	20	r	r	NOUN
sc-1172	139	21	1+tr	1+tr	NUM
sc-1172	139	22	)	)	PUNCT
sc-1172	139	23	,	,	PUNCT
sc-1172	139	24	then	then	ADV
sc-1172	139	25	r	r	NOUN
sc-1172	139	26	can	can	AUX
sc-1172	139	27	be	be	AUX
sc-1172	139	28	at	at	ADP
sc-1172	139	29	most	most	ADJ
sc-1172	139	30	rpull|r	rpull|r	NOUN
sc-1172	139	31	.	.	PUNCT
sc-1172	140	1	•	•	INTJ
sc-1172	140	2	if	if	SCONJ
sc-1172	140	3	the	the	DET
sc-1172	140	4	migration	migration	NOUN
sc-1172	140	5	limit	limit	NOUN
sc-1172	140	6	is	be	AUX
sc-1172	140	7	sufficiently	sufficiently	ADV
sc-1172	140	8	low	low	ADJ
sc-1172	140	9	(	(	PUNCT
sc-1172	140	10	m	m	NOUN
sc-1172	140	11	<	<	X
sc-1172	140	12	r	r	NOUN
sc-1172	140	13	1+tr	1+tr	NUM
sc-1172	140	14	)	)	PUNCT
sc-1172	140	15	,	,	PUNCT
sc-1172	140	16	r	r	NOUN
sc-1172	140	17	can	can	AUX
sc-1172	140	18	be	be	AUX
sc-1172	140	19	at	at	ADP
sc-1172	140	20	most	most	ADJ
sc-1172	140	21	rpull|r	rpull|r	NOUN
sc-1172	140	22	if	if	SCONJ
sc-1172	140	23	λ	λ	X
sc-1172	140	24	<	<	X
sc-1172	140	25	λt	λt	X
sc-1172	140	26	,	,	PUNCT
sc-1172	140	27	and	and	CCONJ
sc-1172	140	28	at	at	ADP
sc-1172	140	29	most	most	ADJ
sc-1172	140	30	rboth|m	rboth|m	NOUN
sc-1172	140	31	otherwise	otherwise	ADV
sc-1172	140	32	.	.	PUNCT
sc-1172	141	1	the	the	DET
sc-1172	141	2	proof	proof	NOUN
sc-1172	141	3	is	be	AUX
sc-1172	141	4	given	give	VERB
sc-1172	141	5	in	in	ADP
sc-1172	141	6	appendix	appendix	ADJ
sc-1172	141	7	d	d	PROPN
sc-1172	141	8	of	of	ADP
sc-1172	141	9	[	[	X
sc-1172	141	10	7	7	NUM
sc-1172	141	11	]	]	PUNCT
sc-1172	141	12	.	.	PUNCT
sc-1172	142	1	4	4	X
sc-1172	142	2	.	.	X
sc-1172	142	3	max	max	PROPN
sc-1172	142	4	-	-	PUNCT
sc-1172	142	5	push	push	VERB
sc-1172	142	6	the	the	DET
sc-1172	142	7	rate	rate	NOUN
sc-1172	142	8	-	-	PUNCT
sc-1172	142	9	based	base	VERB
sc-1172	142	10	push	push	NOUN
sc-1172	142	11	is	be	AUX
sc-1172	142	12	unable	unable	ADJ
sc-1172	142	13	to	to	PART
sc-1172	142	14	reach	reach	VERB
sc-1172	142	15	an	an	DET
sc-1172	142	16	overall	overall	ADJ
sc-1172	142	17	request	request	NOUN
sc-1172	142	18	rate	rate	NOUN
sc-1172	142	19	higher	high	ADJ
sc-1172	142	20	than	than	ADP
sc-1172	142	21	λt+1/(1−λt	λt+1/(1−λt	NOUN
sc-1172	142	22	)	)	PUNCT
sc-1172	142	23	for	for	ADP
sc-1172	142	24	any	any	DET
sc-1172	142	25	t	t	NOUN
sc-1172	142	26	.	.	PUNCT
sc-1172	143	1	when	when	SCONJ
sc-1172	143	2	the	the	DET
sc-1172	143	3	overall	overall	ADJ
sc-1172	143	4	probe	probe	NOUN
sc-1172	143	5	limit	limit	NOUN
sc-1172	143	6	r	r	NOUN
sc-1172	143	7	exceeds	exceed	VERB
sc-1172	143	8	this	this	DET
sc-1172	143	9	value	value	NOUN
sc-1172	143	10	,	,	PUNCT
sc-1172	143	11	it	it	PRON
sc-1172	143	12	is	be	AUX
sc-1172	143	13	possible	possible	ADJ
sc-1172	143	14	to	to	PART
sc-1172	143	15	use	use	VERB
sc-1172	143	16	the	the	DET
sc-1172	143	17	remaining	remain	VERB
sc-1172	143	18	request	request	NOUN
sc-1172	143	19	rate	rate	NOUN
sc-1172	143	20	by	by	ADP
sc-1172	143	21	using	use	VERB
sc-1172	143	22	the	the	DET
sc-1172	143	23	max	max	ADJ
sc-1172	143	24	-	-	PUNCT
sc-1172	143	25	push	push	ADJ
sc-1172	143	26	variant	variant	NOUN
sc-1172	143	27	as	as	SCONJ
sc-1172	143	28	introduced	introduce	VERB
sc-1172	143	29	in	in	ADP
sc-1172	143	30	[	[	X
sc-1172	143	31	6	6	NUM
sc-1172	143	32	]	]	PUNCT
sc-1172	143	33	.	.	PUNCT
sc-1172	144	1	this	this	DET
sc-1172	144	2	strategy	strategy	NOUN
sc-1172	144	3	lets	let	VERB
sc-1172	144	4	nodes	node	NOUN
sc-1172	144	5	with	with	ADP
sc-1172	144	6	a	a	DET
sc-1172	144	7	queue	queue	NOUN
sc-1172	144	8	length	length	NOUN
sc-1172	144	9	of	of	ADP
sc-1172	144	10	t	t	NOUN
sc-1172	144	11	send	send	VERB
sc-1172	144	12	probes	probe	NOUN
sc-1172	144	13	at	at	ADP
sc-1172	144	14	a	a	DET
sc-1172	144	15	finite	finite	ADJ
sc-1172	144	16	rate	rate	NOUN
sc-1172	144	17	rmp|r	rmp|r	PROPN
sc-1172	144	18	,	,	PUNCT
sc-1172	144	19	and	and	CCONJ
sc-1172	144	20	migrates	migrate	VERB
sc-1172	144	21	all	all	DET
sc-1172	144	22	new	new	ADJ
sc-1172	144	23	arrivals	arrival	NOUN
sc-1172	144	24	to	to	ADP
sc-1172	144	25	queues	queue	NOUN
sc-1172	144	26	with	with	ADP
sc-1172	144	27	length	length	NOUN
sc-1172	144	28	t	t	NOUN
sc-1172	144	29	by	by	ADP
sc-1172	144	30	sending	send	VERB
sc-1172	144	31	probes	probe	NOUN
sc-1172	144	32	at	at	ADP
sc-1172	144	33	an	an	DET
sc-1172	144	34	infinite	infinite	ADJ
sc-1172	144	35	rate	rate	NOUN
sc-1172	144	36	until	until	SCONJ
sc-1172	144	37	an	an	DET
sc-1172	144	38	empty	empty	ADJ
sc-1172	144	39	server	server	NOUN
sc-1172	144	40	is	be	AUX
sc-1172	144	41	found	find	VERB
sc-1172	144	42	.	.	PUNCT
sc-1172	145	1	as	as	ADP
sc-1172	145	2	λt+1/(1−	λt+1/(1−	ADJ
sc-1172	145	3	λt	λt	PART
sc-1172	145	4	)	)	PUNCT
sc-1172	145	5	is	be	AUX
sc-1172	145	6	an	an	DET
sc-1172	145	7	increasing	increase	VERB
sc-1172	145	8	function	function	NOUN
sc-1172	145	9	in	in	ADP
sc-1172	145	10	λ	λ	PROPN
sc-1172	145	11	and	and	CCONJ
sc-1172	145	12	decreasing	decrease	VERB
sc-1172	145	13	in	in	ADP
sc-1172	145	14	t	t	PROPN
sc-1172	145	15	,	,	PUNCT
sc-1172	145	16	the	the	DET
sc-1172	145	17	unique	unique	ADJ
sc-1172	145	18	solution	solution	NOUN
sc-1172	145	19	for	for	ADP
sc-1172	145	20	λ	λ	NOUN
sc-1172	145	21	to	to	ADP
sc-1172	145	22	λt+1/(1−	λt+1/(1−	PROPN
sc-1172	145	23	λt	λt	ADP
sc-1172	145	24	)	)	PUNCT
sc-1172	146	1	=	=	SYM
sc-1172	146	2	r	r	NOUN
sc-1172	146	3	is	be	AUX
sc-1172	146	4	increasing	increase	VERB
sc-1172	146	5	in	in	ADP
sc-1172	146	6	t	t	PROPN
sc-1172	146	7	.	.	PUNCT
sc-1172	147	1	therefore	therefore	ADV
sc-1172	147	2	,	,	PUNCT
sc-1172	147	3	there	there	PRON
sc-1172	147	4	is	be	VERB
sc-1172	147	5	a	a	DET
sc-1172	147	6	unique	unique	ADJ
sc-1172	147	7	t	t	NOUN
sc-1172	147	8	>	>	X
sc-1172	147	9	1	1	NUM
sc-1172	147	10	satisfying	satisfy	VERB
sc-1172	147	11	λt+1/(1−	λt+1/(1−	PROPN
sc-1172	147	12	λt	λt	ADP
sc-1172	147	13	)	)	PUNCT
sc-1172	147	14	≤	≤	NOUN
sc-1172	147	15	r	r	NOUN
sc-1172	147	16	<	<	X
sc-1172	147	17	λt	λt	ADP
sc-1172	147	18	/(1−	/(1−	PUNCT
sc-1172	147	19	λt−1	λt−1	PROPN
sc-1172	147	20	)	)	PUNCT
sc-1172	147	21	.	.	PUNCT
sc-1172	148	1	(	(	PUNCT
sc-1172	148	2	9	9	X
sc-1172	148	3	)	)	PUNCT
sc-1172	148	4	for	for	ADP
sc-1172	148	5	this	this	DET
sc-1172	148	6	t	t	NOUN
sc-1172	148	7	,	,	PUNCT
sc-1172	148	8	the	the	DET
sc-1172	148	9	evolution	evolution	NOUN
sc-1172	148	10	of	of	ADP
sc-1172	148	11	the	the	DET
sc-1172	148	12	max	max	PROPN
sc-1172	148	13	-	-	PUNCT
sc-1172	148	14	push	push	ADJ
sc-1172	148	15	strategy	strategy	NOUN
sc-1172	148	16	can	can	AUX
sc-1172	148	17	be	be	AUX
sc-1172	148	18	described	describe	VERB
sc-1172	148	19	by	by	ADP
sc-1172	148	20	a	a	DET
sc-1172	148	21	set	set	NOUN
sc-1172	148	22	of	of	ADP
sc-1172	148	23	odes	ode	NOUN
sc-1172	148	24	d	d	NOUN
sc-1172	148	25	dt	dt	NOUN
sc-1172	148	26	x(t	x(t	PROPN
sc-1172	148	27	)	)	PUNCT
sc-1172	148	28	=	=	SYM
sc-1172	148	29	g(x(t	g(x(t	PROPN
sc-1172	148	30	)	)	PUNCT
sc-1172	148	31	)	)	PUNCT
sc-1172	148	32	,	,	PUNCT
sc-1172	148	33	where	where	SCONJ
sc-1172	148	34	x(t	x(t	PROPN
sc-1172	148	35	)	)	PUNCT
sc-1172	148	36	=	=	SYM
sc-1172	148	37	(	(	PUNCT
sc-1172	148	38	x1(t	x1(t	PROPN
sc-1172	148	39	)	)	PUNCT
sc-1172	148	40	,	,	PUNCT
sc-1172	148	41	x2(t	x2(t	PROPN
sc-1172	148	42	)	)	PUNCT
sc-1172	148	43	,	,	PUNCT
sc-1172	148	44	.	.	PUNCT
sc-1172	148	45	.	.	PUNCT
sc-1172	148	46	.	.	PUNCT
sc-1172	148	47	)	)	PUNCT
sc-1172	149	1	and	and	CCONJ
sc-1172	149	2	xi(t	xi(t	NOUN
sc-1172	149	3	)	)	PUNCT
sc-1172	149	4	represents	represent	VERB
sc-1172	149	5	the	the	DET
sc-1172	149	6	fraction	fraction	NOUN
sc-1172	149	7	of	of	ADP
sc-1172	149	8	the	the	DET
sc-1172	149	9	number	number	NOUN
sc-1172	149	10	of	of	ADP
sc-1172	149	11	nodes	node	NOUN
sc-1172	149	12	with	with	ADP
sc-1172	149	13	at	at	ADV
sc-1172	149	14	least	least	ADJ
sc-1172	149	15	i	i	PRON
sc-1172	149	16	jobs	job	NOUN
sc-1172	149	17	at	at	ADP
sc-1172	149	18	time	time	NOUN
sc-1172	149	19	t.	t.	NOUN
sc-1172	149	20	theorems	theorems	PROPN
sc-1172	149	21	7	7	NUM
sc-1172	149	22	,	,	PUNCT
sc-1172	149	23	8	8	NUM
sc-1172	149	24	from	from	ADP
sc-1172	149	25	[	[	X
sc-1172	149	26	6	6	NUM
sc-1172	149	27	]	]	PUNCT
sc-1172	149	28	show	show	VERB
sc-1172	149	29	that	that	SCONJ
sc-1172	149	30	the	the	DET
sc-1172	149	31	set	set	NOUN
sc-1172	149	32	of	of	ADP
sc-1172	149	33	odes	ode	NOUN
sc-1172	149	34	has	have	VERB
sc-1172	149	35	a	a	DET
sc-1172	149	36	unique	unique	ADJ
sc-1172	149	37	fixed	fix	VERB
sc-1172	149	38	point	point	NOUN
sc-1172	149	39	π̇	π̇	PROPN
sc-1172	149	40	=	=	PUNCT
sc-1172	149	41	(	(	PUNCT
sc-1172	149	42	π̇1	π̇1	PROPN
sc-1172	149	43	,	,	PUNCT
sc-1172	149	44	.	.	PUNCT
sc-1172	149	45	.	.	PUNCT
sc-1172	150	1	.	.	PUNCT
sc-1172	151	1	,	,	PUNCT
sc-1172	151	2	π̇t	π̇t	PROPN
sc-1172	151	3	)	)	PUNCT
sc-1172	151	4	that	that	PRON
sc-1172	151	5	is	be	AUX
sc-1172	151	6	a	a	DET
sc-1172	151	7	global	global	ADJ
sc-1172	151	8	attractor	attractor	NOUN
sc-1172	151	9	,	,	PUNCT
sc-1172	151	10	and	and	CCONJ
sc-1172	151	11	can	can	AUX
sc-1172	151	12	be	be	AUX
sc-1172	151	13	expressed	express	VERB
sc-1172	151	14	as	as	ADP
sc-1172	151	15	π̇i	π̇i	PROPN
sc-1172	151	16	=	=	SYM
sc-1172	152	1	λi	λi	ADP
sc-1172	152	2	1	1	NUM
sc-1172	152	3	+	+	CCONJ
sc-1172	152	4	(	(	PUNCT
sc-1172	152	5	λ	λ	X
sc-1172	152	6	1−λ	1−λ	NUM
sc-1172	152	7	+	+	CCONJ
sc-1172	152	8	r)(1−	r)(1−	PROPN
sc-1172	152	9	λt−i	λt−i	NOUN
sc-1172	152	10	)	)	PUNCT
sc-1172	152	11	1	1	NUM
sc-1172	153	1	+	+	CCONJ
sc-1172	153	2	(	(	PUNCT
sc-1172	153	3	λ	λ	X
sc-1172	153	4	1−λ	1−λ	NUM
sc-1172	153	5	+	+	CCONJ
sc-1172	153	6	r)(1−	r)(1−	PROPN
sc-1172	153	7	λt−1	λt−1	PROPN
sc-1172	153	8	)	)	PUNCT
sc-1172	153	9	,	,	PUNCT
sc-1172	153	10	(	(	PUNCT
sc-1172	153	11	10	10	NUM
sc-1172	153	12	)	)	PUNCT
sc-1172	153	13	for	for	ADP
sc-1172	153	14	1	1	NUM
sc-1172	153	15	≤	≤	NUM
sc-1172	153	16	i	i	PRON
sc-1172	153	17	≤	≤	NOUN
sc-1172	153	18	t	t	NOUN
sc-1172	153	19	.	.	PUNCT
sc-1172	154	1	the	the	DET
sc-1172	154	2	mean	mean	ADJ
sc-1172	154	3	delay	delay	NOUN
sc-1172	154	4	dmp	dmp	PROPN
sc-1172	154	5	of	of	ADP
sc-1172	154	6	a	a	DET
sc-1172	154	7	job	job	NOUN
sc-1172	154	8	under	under	ADP
sc-1172	154	9	the	the	DET
sc-1172	154	10	max	max	ADJ
sc-1172	154	11	-	-	PUNCT
sc-1172	154	12	push	push	ADJ
sc-1172	154	13	strategy	strategy	NOUN
sc-1172	154	14	is	be	AUX
sc-1172	154	15	given	give	VERB
sc-1172	154	16	by	by	ADP
sc-1172	154	17	[	[	PUNCT
sc-1172	154	18	6	6	NUM
sc-1172	154	19	,	,	PUNCT
sc-1172	154	20	corollary	corollary	ADJ
sc-1172	154	21	3	3	NUM
sc-1172	154	22	]	]	X
sc-1172	154	23	:	:	PUNCT
sc-1172	154	24	dmp	dmp	PROPN
sc-1172	154	25	=	=	SYM
sc-1172	154	26	1−	1−	NUM
sc-1172	154	27	λt	λt	ADP
sc-1172	154	28	+	+	CCONJ
sc-1172	154	29	(	(	PUNCT
sc-1172	154	30	λ	λ	X
sc-1172	154	31	1−λ	1−λ	NUM
sc-1172	155	1	+	+	CCONJ
sc-1172	155	2	r)(1−	r)(1−	PROPN
sc-1172	155	3	tλt−1	tλt−1	PROPN
sc-1172	155	4	+	+	PROPN
sc-1172	155	5	(	(	PUNCT
sc-1172	155	6	t	t	PROPN
sc-1172	155	7	−	−	PROPN
sc-1172	155	8	1)λt	1)λt	PROPN
sc-1172	155	9	)	)	PUNCT
sc-1172	155	10	1	1	NUM
sc-1172	156	1	+	+	NUM
sc-1172	156	2	r(1−	r(1−	NOUN
sc-1172	156	3	λ)(1−	λ)(1−	PROPN
sc-1172	156	4	λt−1)−	λt−1)−	ADV
sc-1172	156	5	λt	λt	INTJ
sc-1172	156	6	.	.	PUNCT
sc-1172	157	1	(	(	PUNCT
sc-1172	157	2	11	11	NUM
sc-1172	157	3	)	)	PUNCT
sc-1172	157	4	for	for	ADP
sc-1172	157	5	the	the	DET
sc-1172	157	6	max	max	ADJ
sc-1172	157	7	-	-	PUNCT
sc-1172	157	8	push	push	ADJ
sc-1172	157	9	strategy	strategy	NOUN
sc-1172	157	10	the	the	DET
sc-1172	157	11	overall	overall	ADJ
sc-1172	157	12	probe	probe	NOUN
sc-1172	157	13	rate	rate	NOUN
sc-1172	157	14	r	r	NOUN
sc-1172	157	15	equals	equal	VERB
sc-1172	157	16	r	r	NOUN
sc-1172	157	17	=	=	SYM
sc-1172	157	18	π̇t	π̇t	PROPN
sc-1172	157	19	(	(	PUNCT
sc-1172	157	20	λ	λ	PROPN
sc-1172	157	21	1−	1−	NUM
sc-1172	157	22	λ	λ	X
sc-1172	157	23	+	+	NUM
sc-1172	157	24	r	r	NOUN
sc-1172	157	25	)	)	PUNCT
sc-1172	157	26	,	,	PUNCT
sc-1172	157	27	(	(	PUNCT
sc-1172	157	28	12	12	NUM
sc-1172	157	29	)	)	PUNCT
sc-1172	157	30	as	as	SCONJ
sc-1172	157	31	the	the	DET
sc-1172	157	32	instantaneous	instantaneous	ADJ
sc-1172	157	33	transfer	transfer	NOUN
sc-1172	157	34	of	of	ADP
sc-1172	157	35	an	an	DET
sc-1172	157	36	arrival	arrival	NOUN
sc-1172	157	37	to	to	ADP
sc-1172	157	38	a	a	DET
sc-1172	157	39	queue	queue	NOUN
sc-1172	157	40	with	with	ADP
sc-1172	157	41	t	t	PROPN
sc-1172	157	42	jobs	job	NOUN
sc-1172	157	43	requires	require	VERB
sc-1172	157	44	1/(1	1/(1	NUM
sc-1172	157	45	−	−	PROPN
sc-1172	157	46	λ	λ	NOUN
sc-1172	157	47	)	)	PUNCT
sc-1172	157	48	probe	probe	VERB
sc-1172	157	49	messages	message	NOUN
sc-1172	157	50	on	on	ADP
sc-1172	157	51	average	average	ADJ
sc-1172	157	52	.	.	PUNCT
sc-1172	158	1	therefore	therefore	ADV
sc-1172	158	2	,	,	PUNCT
sc-1172	158	3	a	a	DET
sc-1172	158	4	predefined	predefine	VERB
sc-1172	158	5	overall	overall	ADJ
sc-1172	158	6	probe	probe	NOUN
sc-1172	158	7	rate	rate	NOUN
sc-1172	158	8	r	r	NOUN
sc-1172	158	9	can	can	AUX
sc-1172	158	10	be	be	AUX
sc-1172	158	11	matched	match	VERB
sc-1172	158	12	by	by	ADP
sc-1172	158	13	setting	set	VERB
sc-1172	158	14	rmp|r	rmp|r	NOUN
sc-1172	159	1	=	=	PUNCT
sc-1172	160	1	r	r	NOUN
sc-1172	160	2	λt−1(r+	λt−1(r+	NOUN
sc-1172	160	3	λ)−r	λ)−r	NOUN
sc-1172	160	4	−	−	PROPN
sc-1172	161	1	λ	λ	PROPN
sc-1172	161	2	1−	1−	NUM
sc-1172	161	3	λ	λ	NOUN
sc-1172	161	4	,	,	PUNCT
sc-1172	161	5	(	(	PUNCT
sc-1172	161	6	13	13	NUM
sc-1172	161	7	)	)	PUNCT
sc-1172	161	8	where	where	SCONJ
sc-1172	161	9	0	0	NUM
sc-1172	161	10	≤	≤	NOUN
sc-1172	161	11	rmp|r	rmp|r	VERB
sc-1172	161	12	<	<	X
sc-1172	161	13	∞	∞	PROPN
sc-1172	161	14	for	for	ADP
sc-1172	161	15	λt+1/(1	λt+1/(1	CCONJ
sc-1172	161	16	−	−	PROPN
sc-1172	161	17	λt	λt	ADP
sc-1172	161	18	)	)	PUNCT
sc-1172	161	19	≤	≤	NOUN
sc-1172	162	1	r	r	NOUN
sc-1172	162	2	<	<	X
sc-1172	162	3	λt	λt	X
sc-1172	162	4	/(1	/(1	PUNCT
sc-1172	162	5	−	−	PROPN
sc-1172	163	1	λt−1	λt−1	PROPN
sc-1172	163	2	)	)	PUNCT
sc-1172	163	3	.	.	PUNCT
sc-1172	164	1	4.1	4.1	NUM
sc-1172	164	2	limiting	limit	VERB
sc-1172	164	3	the	the	DET
sc-1172	164	4	overall	overall	ADJ
sc-1172	164	5	migration	migration	NOUN
sc-1172	164	6	rate	rate	NOUN
sc-1172	164	7	as	as	ADP
sc-1172	164	8	the	the	DET
sc-1172	164	9	rate	rate	NOUN
sc-1172	164	10	-	-	PUNCT
sc-1172	164	11	based	base	VERB
sc-1172	164	12	push	push	NOUN
sc-1172	164	13	strategy	strategy	NOUN
sc-1172	164	14	can	can	AUX
sc-1172	164	15	not	not	PART
sc-1172	164	16	exceed	exceed	VERB
sc-1172	164	17	the	the	DET
sc-1172	164	18	probe	probe	NOUN
sc-1172	164	19	rate	rate	NOUN
sc-1172	165	1	λt+1/(1	λt+1/(1	CCONJ
sc-1172	165	2	−	−	PROPN
sc-1172	166	1	λt	λt	X
sc-1172	166	2	)	)	PUNCT
sc-1172	166	3	,	,	PUNCT
sc-1172	166	4	it	it	PRON
sc-1172	166	5	is	be	AUX
sc-1172	166	6	unable	unable	ADJ
sc-1172	166	7	to	to	PART
sc-1172	166	8	exceed	exceed	VERB
sc-1172	166	9	an	an	DET
sc-1172	166	10	overall	overall	ADJ
sc-1172	166	11	migration	migration	NOUN
sc-1172	166	12	rate	rate	NOUN
sc-1172	166	13	of	of	ADP
sc-1172	166	14	(	(	PUNCT
sc-1172	166	15	1	1	NUM
sc-1172	166	16	−	−	NOUN
sc-1172	166	17	λ)λt+1/(1	λ)λt+1/(1	INTJ
sc-1172	166	18	−	−	PROPN
sc-1172	166	19	λt	λt	ADP
sc-1172	166	20	)	)	PUNCT
sc-1172	166	21	.	.	PUNCT
sc-1172	167	1	it	it	PRON
sc-1172	167	2	follows	follow	VERB
sc-1172	167	3	that	that	SCONJ
sc-1172	167	4	when	when	SCONJ
sc-1172	167	5	m	m	VERB
sc-1172	167	6	>	>	X
sc-1172	167	7	(	(	PUNCT
sc-1172	167	8	1−λ)λt+1/(1−λt	1−λ)λt+1/(1−λt	PROPN
sc-1172	167	9	)	)	PUNCT
sc-1172	167	10	,	,	PUNCT
sc-1172	167	11	queues	queue	NOUN
sc-1172	167	12	with	with	ADP
sc-1172	167	13	a	a	DET
sc-1172	167	14	length	length	NOUN
sc-1172	167	15	of	of	ADP
sc-1172	167	16	at	at	ADV
sc-1172	167	17	least	least	ADJ
sc-1172	167	18	t+1	t+1	PRON
sc-1172	167	19	can	can	AUX
sc-1172	167	20	probe	probe	VERB
sc-1172	167	21	at	at	ADP
sc-1172	167	22	an	an	DET
sc-1172	167	23	arbitrarily	arbitrarily	ADV
sc-1172	167	24	high	high	ADJ
sc-1172	167	25	rate	rate	NOUN
sc-1172	167	26	without	without	ADP
sc-1172	167	27	exceeding	exceed	VERB
sc-1172	167	28	the	the	DET
sc-1172	167	29	migration	migration	NOUN
sc-1172	167	30	limit	limit	NOUN
sc-1172	167	31	m	m	VERB
sc-1172	167	32	,	,	PUNCT
sc-1172	167	33	effectively	effectively	ADV
sc-1172	167	34	reducing	reduce	VERB
sc-1172	167	35	all	all	DET
sc-1172	167	36	queues	queue	NOUN
sc-1172	167	37	to	to	ADP
sc-1172	167	38	a	a	DET
sc-1172	167	39	length	length	NOUN
sc-1172	167	40	of	of	ADP
sc-1172	167	41	at	at	ADV
sc-1172	167	42	most	most	ADJ
sc-1172	167	43	t	t	NOUN
sc-1172	167	44	.	.	PUNCT
sc-1172	168	1	queues	queue	NOUN
sc-1172	168	2	with	with	ADP
sc-1172	168	3	length	length	NOUN
sc-1172	168	4	t	t	PROPN
sc-1172	168	5	can	can	AUX
sc-1172	168	6	then	then	ADV
sc-1172	168	7	send	send	VERB
sc-1172	168	8	probes	probe	NOUN
sc-1172	168	9	with	with	ADP
sc-1172	168	10	a	a	DET
sc-1172	168	11	finite	finite	ADJ
sc-1172	168	12	r	r	NOUN
sc-1172	168	13	to	to	PART
sc-1172	168	14	match	match	VERB
sc-1172	168	15	m	m	PRON
sc-1172	168	16	.	.	PUNCT
sc-1172	169	1	in	in	ADP
sc-1172	169	2	other	other	ADJ
sc-1172	169	3	words	word	NOUN
sc-1172	169	4	,	,	PUNCT
sc-1172	169	5	in	in	ADP
sc-1172	169	6	order	order	NOUN
sc-1172	169	7	to	to	PART
sc-1172	169	8	match	match	VERB
sc-1172	169	9	m	m	PROPN
sc-1172	169	10	(	(	PUNCT
sc-1172	169	11	instead	instead	ADV
sc-1172	169	12	of	of	ADP
sc-1172	169	13	r	r	NOUN
sc-1172	169	14	as	as	ADP
sc-1172	169	15	in	in	ADP
sc-1172	169	16	the	the	DET
sc-1172	169	17	previous	previous	ADJ
sc-1172	169	18	section	section	NOUN
sc-1172	169	19	)	)	PUNCT
sc-1172	169	20	,	,	PUNCT
sc-1172	169	21	set	set	VERB
sc-1172	169	22	t	t	PROPN
sc-1172	169	23	such	such	ADJ
sc-1172	169	24	that	that	SCONJ
sc-1172	169	25	(	(	PUNCT
sc-1172	169	26	1−	1−	NUM
sc-1172	169	27	λ)λt+1	λ)λt+1	SYM
sc-1172	169	28	1−	1−	NUM
sc-1172	169	29	λt	λt	ADP
sc-1172	169	30	≤m	≤m	PROPN
sc-1172	169	31	<	<	X
sc-1172	169	32	(	(	PUNCT
sc-1172	169	33	1−	1−	NUM
sc-1172	169	34	λ)λt	λ)λt	PROPN
sc-1172	169	35	1−	1−	NUM
sc-1172	169	36	λt−1	λt−1	PROPN
sc-1172	169	37	.	.	PUNCT
sc-1172	170	1	(	(	PUNCT
sc-1172	170	2	14	14	NUM
sc-1172	170	3	)	)	PUNCT
sc-1172	170	4	and	and	CCONJ
sc-1172	170	5	determine	determine	VERB
sc-1172	170	6	the	the	DET
sc-1172	170	7	probe	probe	NOUN
sc-1172	170	8	rate	rate	NOUN
sc-1172	170	9	rmp|m	rmp|m	NOUN
sc-1172	170	10	when	when	SCONJ
sc-1172	170	11	the	the	DET
sc-1172	170	12	queue	queue	NOUN
sc-1172	170	13	length	length	NOUN
sc-1172	170	14	equals	equal	VERB
sc-1172	170	15	t	t	NOUN
sc-1172	170	16	by	by	ADP
sc-1172	170	17	the	the	DET
sc-1172	170	18	following	follow	VERB
sc-1172	170	19	theorem	theorem	NOUN
sc-1172	170	20	:	:	PUNCT
sc-1172	170	21	theorem	theorem	NOUN
sc-1172	170	22	5	5	NUM
sc-1172	170	23	.	.	PUNCT
sc-1172	171	1	the	the	DET
sc-1172	171	2	max	max	PROPN
sc-1172	171	3	-	-	PUNCT
sc-1172	171	4	push	push	ADJ
sc-1172	171	5	strategy	strategy	NOUN
sc-1172	171	6	matches	match	VERB
sc-1172	171	7	a	a	DET
sc-1172	171	8	predefined	predefine	VERB
sc-1172	171	9	migration	migration	NOUN
sc-1172	171	10	rate	rate	NOUN
sc-1172	171	11	m	m	VERB
sc-1172	171	12	by	by	ADP
sc-1172	171	13	letting	let	VERB
sc-1172	171	14	the	the	DET
sc-1172	171	15	probe	probe	NOUN
sc-1172	171	16	rate	rate	NOUN
sc-1172	171	17	r	r	NOUN
sc-1172	171	18	=	=	PUNCT
sc-1172	171	19	rmp|m	rmp|m	NOUN
sc-1172	171	20	with	with	ADP
sc-1172	171	21	rmp|m	rmp|m	NOUN
sc-1172	172	1	=	=	PUNCT
sc-1172	172	2	λ	λ	X
sc-1172	172	3	(	(	PUNCT
sc-1172	172	4	m	m	VERB
sc-1172	172	5	(	(	PUNCT
sc-1172	172	6	(	(	PUNCT
sc-1172	172	7	1−	1−	NUM
sc-1172	172	8	λ)λ+m)λt	λ)λ+m)λt	ADP
sc-1172	172	9	−	−	NOUN
sc-1172	173	1	λm	λm	ADP
sc-1172	173	2	−	−	PROPN
sc-1172	173	3	1	1	NUM
sc-1172	173	4	1−	1−	NUM
sc-1172	173	5	λ	λ	PROPN
sc-1172	173	6	)	)	PUNCT
sc-1172	173	7	.	.	PUNCT
sc-1172	174	1	(	(	PUNCT
sc-1172	174	2	15	15	NUM
sc-1172	174	3	)	)	PUNCT
sc-1172	174	4	when	when	SCONJ
sc-1172	174	5	matching	match	VERB
sc-1172	174	6	m	m	DET
sc-1172	174	7	this	this	DET
sc-1172	174	8	way	way	NOUN
sc-1172	174	9	,	,	PUNCT
sc-1172	174	10	π̇i	π̇i	VERB
sc-1172	174	11	for	for	SCONJ
sc-1172	174	12	i	i	PROPN
sc-1172	174	13	≤	≤	NOUN
sc-1172	174	14	t	t	PROPN
sc-1172	174	15	reduces	reduce	VERB
sc-1172	174	16	to	to	PART
sc-1172	174	17	π̇i	π̇i	PROPN
sc-1172	175	1	=	=	SYM
sc-1172	175	2	λi	λi	ADP
sc-1172	175	3	−	−	PROPN
sc-1172	175	4	m(1−	m(1−	PROPN
sc-1172	175	5	λi−1	λi−1	PROPN
sc-1172	175	6	)	)	PUNCT
sc-1172	175	7	1−	1−	NUM
sc-1172	175	8	λ	λ	NOUN
sc-1172	175	9	,	,	PUNCT
sc-1172	175	10	(	(	PUNCT
sc-1172	175	11	16	16	NUM
sc-1172	175	12	)	)	PUNCT
sc-1172	175	13	proof	proof	NOUN
sc-1172	175	14	.	.	PUNCT
sc-1172	176	1	the	the	DET
sc-1172	176	2	relationship	relationship	NOUN
sc-1172	176	3	(	(	PUNCT
sc-1172	176	4	15	15	NUM
sc-1172	176	5	)	)	PUNCT
sc-1172	176	6	follows	follow	VERB
sc-1172	176	7	from	from	ADP
sc-1172	176	8	the	the	DET
sc-1172	176	9	formulation	formulation	NOUN
sc-1172	176	10	of	of	ADP
sc-1172	176	11	the	the	DET
sc-1172	176	12	overall	overall	ADJ
sc-1172	176	13	migration	migration	NOUN
sc-1172	176	14	rate	rate	NOUN
sc-1172	176	15	.	.	PUNCT
sc-1172	177	1	the	the	DET
sc-1172	177	2	migrations	migration	NOUN
sc-1172	177	3	of	of	ADP
sc-1172	177	4	new	new	ADJ
sc-1172	177	5	arrivals	arrival	NOUN
sc-1172	177	6	in	in	ADP
sc-1172	177	7	queues	queue	NOUN
sc-1172	177	8	with	with	ADP
sc-1172	177	9	length	length	NOUN
sc-1172	177	10	t	t	PROPN
sc-1172	177	11	are	be	AUX
sc-1172	177	12	given	give	VERB
sc-1172	177	13	by	by	ADP
sc-1172	177	14	π̇tλ	π̇tλ	PROPN
sc-1172	177	15	.	.	PUNCT
sc-1172	178	1	the	the	DET
sc-1172	178	2	migrations	migration	NOUN
sc-1172	178	3	resulting	result	VERB
sc-1172	178	4	from	from	ADP
sc-1172	178	5	a	a	DET
sc-1172	178	6	successful	successful	ADJ
sc-1172	178	7	probe	probe	NOUN
sc-1172	178	8	sent	send	VERB
sc-1172	178	9	by	by	ADP
sc-1172	178	10	queues	queue	NOUN
sc-1172	178	11	with	with	ADP
sc-1172	178	12	length	length	NOUN
sc-1172	178	13	t	t	PROPN
sc-1172	178	14	are	be	AUX
sc-1172	178	15	given	give	VERB
sc-1172	178	16	by	by	ADP
sc-1172	178	17	π̇t	π̇t	PROPN
sc-1172	178	18	r(1−λ	r(1−λ	NOUN
sc-1172	178	19	)	)	PUNCT
sc-1172	178	20	.	.	PUNCT
sc-1172	179	1	probes	probe	NOUN
sc-1172	179	2	are	be	AUX
sc-1172	179	3	successful	successful	ADJ
sc-1172	179	4	if	if	SCONJ
sc-1172	179	5	they	they	PRON
sc-1172	179	6	locate	locate	VERB
sc-1172	179	7	an	an	DET
sc-1172	179	8	empty	empty	ADJ
sc-1172	179	9	server	server	NOUN
sc-1172	179	10	,	,	PUNCT
sc-1172	179	11	which	which	PRON
sc-1172	179	12	they	they	PRON
sc-1172	179	13	do	do	VERB
sc-1172	179	14	with	with	ADP
sc-1172	179	15	probability	probability	NOUN
sc-1172	179	16	1	1	NUM
sc-1172	179	17	−	−	PROPN
sc-1172	179	18	λ	λ	NOUN
sc-1172	179	19	.	.	PUNCT
sc-1172	180	1	therefore	therefore	ADV
sc-1172	180	2	,	,	PUNCT
sc-1172	180	3	the	the	DET
sc-1172	180	4	overall	overall	ADJ
sc-1172	180	5	migration	migration	NOUN
sc-1172	180	6	rate	rate	NOUN
sc-1172	180	7	can	can	AUX
sc-1172	180	8	be	be	AUX
sc-1172	180	9	expressed	express	VERB
sc-1172	180	10	as	as	ADP
sc-1172	180	11	mmp	mmp	PROPN
sc-1172	180	12	=	=	SYM
sc-1172	180	13	π̇t	π̇t	PROPN
sc-1172	180	14	(	(	PUNCT
sc-1172	180	15	λ	λ	PROPN
sc-1172	180	16	1−	1−	NUM
sc-1172	180	17	λ	λ	X
sc-1172	180	18	+	+	NUM
sc-1172	180	19	r	r	NOUN
sc-1172	180	20	)	)	PUNCT
sc-1172	180	21	(	(	PUNCT
sc-1172	180	22	1−	1−	NUM
sc-1172	180	23	λ	λ	NOUN
sc-1172	180	24	)	)	PUNCT
sc-1172	180	25	(	(	PUNCT
sc-1172	180	26	17	17	NUM
sc-1172	180	27	)	)	PUNCT
sc-1172	180	28	=	=	SYM
sc-1172	180	29	(	(	PUNCT
sc-1172	180	30	1−	1−	NUM
sc-1172	180	31	λ)((1−	λ)((1−	NOUN
sc-1172	180	32	λ)r	λ)r	PUNCT
sc-1172	181	1	+	+	NUM
sc-1172	181	2	2λ)λt+1	2λ)λt+1	NUM
sc-1172	181	3	λ(r(1−	λ(r(1−	PROPN
sc-1172	181	4	λ	λ	PROPN
sc-1172	181	5	)	)	PUNCT
sc-1172	181	6	+	+	PROPN
sc-1172	182	1	1)−	1)−	NUM
sc-1172	182	2	(	(	PUNCT
sc-1172	182	3	(	(	PUNCT
sc-1172	182	4	1−	1−	NUM
sc-1172	182	5	λ)r	λ)r	PUNCT
sc-1172	183	1	+	+	CCONJ
sc-1172	183	2	λ)λt	λ)λt	NOUN
sc-1172	183	3	.	.	PUNCT
sc-1172	184	1	the	the	DET
sc-1172	184	2	reduction	reduction	NOUN
sc-1172	184	3	of	of	ADP
sc-1172	184	4	π̇i	π̇i	PROPN
sc-1172	184	5	to	to	PART
sc-1172	184	6	(	(	PUNCT
sc-1172	184	7	16	16	NUM
sc-1172	184	8	)	)	PUNCT
sc-1172	184	9	follows	follow	VERB
sc-1172	184	10	from	from	ADP
sc-1172	184	11	substitution	substitution	NOUN
sc-1172	184	12	of	of	ADP
sc-1172	184	13	(	(	PUNCT
sc-1172	184	14	15	15	NUM
sc-1172	184	15	)	)	PUNCT
sc-1172	184	16	in	in	ADP
sc-1172	184	17	(	(	PUNCT
sc-1172	184	18	10	10	NUM
sc-1172	184	19	)	)	PUNCT
sc-1172	184	20	,	,	PUNCT
sc-1172	184	21	and	and	CCONJ
sc-1172	184	22	shows	show	VERB
sc-1172	184	23	the	the	DET
sc-1172	184	24	improvement	improvement	NOUN
sc-1172	184	25	over	over	ADP
sc-1172	184	26	an	an	DET
sc-1172	184	27	m	m	PROPN
sc-1172	184	28	/	/	SYM
sc-1172	184	29	m/1	m/1	NOUN
sc-1172	184	30	queue	queue	NOUN
sc-1172	184	31	directly	directly	ADV
sc-1172	184	32	.	.	PUNCT
sc-1172	185	1	theorem	theorem	ADJ
sc-1172	185	2	6	6	NUM
sc-1172	185	3	.	.	PUNCT
sc-1172	186	1	for	for	ADP
sc-1172	186	2	the	the	DET
sc-1172	186	3	max	max	ADJ
sc-1172	186	4	-	-	ADJ
sc-1172	186	5	push	push	NOUN
sc-1172	186	6	strategy	strategy	NOUN
sc-1172	186	7	r	r	NOUN
sc-1172	186	8	and	and	CCONJ
sc-1172	186	9	t	t	NOUN
sc-1172	186	10	should	should	AUX
sc-1172	186	11	be	be	AUX
sc-1172	186	12	set	set	VERB
sc-1172	186	13	as	as	SCONJ
sc-1172	186	14	follows	follow	VERB
sc-1172	186	15	in	in	ADP
sc-1172	186	16	order	order	NOUN
sc-1172	186	17	to	to	PART
sc-1172	186	18	respect	respect	VERB
sc-1172	186	19	both	both	PRON
sc-1172	186	20	the	the	DET
sc-1172	186	21	probe	probe	NOUN
sc-1172	186	22	rate	rate	NOUN
sc-1172	186	23	r	r	NOUN
sc-1172	186	24	and	and	CCONJ
sc-1172	186	25	migration	migration	NOUN
sc-1172	186	26	rate	rate	NOUN
sc-1172	186	27	m	m	PROPN
sc-1172	186	28	:	:	PUNCT
sc-1172	186	29	•	•	INTJ
sc-1172	186	30	if	if	SCONJ
sc-1172	186	31	λ	λ	PROPN
sc-1172	186	32	<	<	X
sc-1172	186	33	1	1	NUM
sc-1172	186	34	−m	−m	NOUN
sc-1172	186	35	/	/	SYM
sc-1172	186	36	r	r	NOUN
sc-1172	186	37	,	,	PUNCT
sc-1172	186	38	t	t	PROPN
sc-1172	186	39	must	must	AUX
sc-1172	186	40	be	be	AUX
sc-1172	186	41	chosen	choose	VERB
sc-1172	186	42	according	accord	VERB
sc-1172	186	43	to	to	ADP
sc-1172	186	44	(	(	PUNCT
sc-1172	186	45	14	14	NUM
sc-1172	186	46	)	)	PUNCT
sc-1172	186	47	and	and	CCONJ
sc-1172	186	48	r	r	NOUN
sc-1172	186	49	can	can	AUX
sc-1172	186	50	be	be	AUX
sc-1172	186	51	at	at	ADP
sc-1172	186	52	most	most	ADJ
sc-1172	186	53	rmp|m	rmp|m	NOUN
sc-1172	186	54	.	.	PUNCT
sc-1172	187	1	•	•	INTJ
sc-1172	187	2	if	if	SCONJ
sc-1172	187	3	λ	λ	X
sc-1172	187	4	>	>	X
sc-1172	187	5	1	1	NUM
sc-1172	187	6	−m	−m	NOUN
sc-1172	187	7	/	/	SYM
sc-1172	187	8	r	r	NOUN
sc-1172	187	9	,	,	PUNCT
sc-1172	187	10	t	t	PROPN
sc-1172	187	11	must	must	AUX
sc-1172	187	12	be	be	AUX
sc-1172	187	13	chosen	choose	VERB
sc-1172	187	14	according	accord	VERB
sc-1172	187	15	to	to	ADP
sc-1172	187	16	(	(	PUNCT
sc-1172	187	17	9	9	NUM
sc-1172	187	18	)	)	PUNCT
sc-1172	187	19	and	and	CCONJ
sc-1172	187	20	r	r	NOUN
sc-1172	187	21	can	can	AUX
sc-1172	187	22	be	be	AUX
sc-1172	187	23	at	at	ADP
sc-1172	187	24	most	most	ADV
sc-1172	187	25	rmp|r	rmp|r	ADJ
sc-1172	187	26	.	.	PUNCT
sc-1172	188	1	•	•	INTJ
sc-1172	188	2	if	if	SCONJ
sc-1172	188	3	λ	λ	X
sc-1172	188	4	=	=	SYM
sc-1172	188	5	1−m	1−m	NUM
sc-1172	188	6	/	/	SYM
sc-1172	188	7	r	r	NOUN
sc-1172	188	8	,	,	PUNCT
sc-1172	188	9	both	both	DET
sc-1172	188	10	constraints	constraint	NOUN
sc-1172	188	11	are	be	AUX
sc-1172	188	12	equivalent	equivalent	ADJ
sc-1172	188	13	.	.	PUNCT
sc-1172	189	1	the	the	DET
sc-1172	189	2	proof	proof	NOUN
sc-1172	189	3	is	be	AUX
sc-1172	189	4	given	give	VERB
sc-1172	189	5	in	in	ADP
sc-1172	189	6	appendix	appendix	ADJ
sc-1172	189	7	e	e	NOUN
sc-1172	189	8	of	of	ADP
sc-1172	189	9	[	[	X
sc-1172	189	10	7	7	NUM
sc-1172	189	11	]	]	PUNCT
sc-1172	189	12	.	.	PUNCT
sc-1172	190	1	theorem	theorem	VERB
sc-1172	190	2	7	7	NUM
sc-1172	190	3	.	.	PUNCT
sc-1172	191	1	the	the	DET
sc-1172	191	2	mean	mean	ADJ
sc-1172	191	3	delay	delay	NOUN
sc-1172	191	4	of	of	ADP
sc-1172	191	5	the	the	DET
sc-1172	191	6	max	max	PROPN
sc-1172	191	7	-	-	PUNCT
sc-1172	191	8	push	push	ADJ
sc-1172	191	9	strategy	strategy	NOUN
sc-1172	191	10	can	can	AUX
sc-1172	191	11	be	be	AUX
sc-1172	191	12	expressed	express	VERB
sc-1172	191	13	as	as	ADP
sc-1172	191	14	dmp	dmp	NOUN
sc-1172	191	15	=	=	SYM
sc-1172	191	16	1	1	NUM
sc-1172	191	17	1−	1−	NUM
sc-1172	191	18	λ	λ	X
sc-1172	191	19	(	(	PUNCT
sc-1172	191	20	1−	1−	NUM
sc-1172	191	21	mmp	mmp	PROPN
sc-1172	191	22	λ	λ	PROPN
sc-1172	191	23	(	(	PUNCT
sc-1172	191	24	α+	α+	X
sc-1172	191	25	β	β	X
sc-1172	191	26	mmp	mmp	PROPN
sc-1172	191	27	)	)	PUNCT
sc-1172	191	28	)	)	PUNCT
sc-1172	191	29	,	,	PUNCT
sc-1172	191	30	(	(	PUNCT
sc-1172	191	31	18	18	NUM
sc-1172	191	32	)	)	PUNCT
sc-1172	191	33	with	with	ADP
sc-1172	191	34	α	α	PROPN
sc-1172	191	35	=	=	SYM
sc-1172	191	36	π̇tλt	π̇tλt	PROPN
sc-1172	191	37	and	and	CCONJ
sc-1172	191	38	β	β	X
sc-1172	191	39	=	=	SYM
sc-1172	191	40	π̇t	π̇t	PROPN
sc-1172	191	41	r(1	r(1	PROPN
sc-1172	191	42	−	−	PROPN
sc-1172	191	43	λ)(t	λ)(t	PUNCT
sc-1172	191	44	−	−	PROPN
sc-1172	191	45	1	1	NUM
sc-1172	191	46	)	)	PUNCT
sc-1172	191	47	.	.	PUNCT
sc-1172	192	1	when	when	SCONJ
sc-1172	192	2	r	r	NOUN
sc-1172	192	3	=	=	SYM
sc-1172	192	4	rmp|m	rmp|m	NOUN
sc-1172	192	5	,	,	PUNCT
sc-1172	192	6	the	the	DET
sc-1172	192	7	mean	mean	ADJ
sc-1172	192	8	delay	delay	NOUN
sc-1172	192	9	dmp	dmp	NOUN
sc-1172	192	10	reduces	reduce	VERB
sc-1172	192	11	to	to	ADP
sc-1172	192	12	dmp|m	dmp|m	PROPN
sc-1172	192	13	=	=	PUNCT
sc-1172	192	14	1	1	NUM
sc-1172	192	15	1−	1−	NUM
sc-1172	192	16	λ	λ	NOUN
sc-1172	193	1	+	+	NOUN
sc-1172	193	2	m	m	VERB
sc-1172	193	3	(	(	PUNCT
sc-1172	193	4	1−	1−	NUM
sc-1172	193	5	λt	λt	ADP
sc-1172	193	6	)	)	PUNCT
sc-1172	193	7	(	(	PUNCT
sc-1172	193	8	1−	1−	NUM
sc-1172	193	9	λ)2λ	λ)2λ	NOUN
sc-1172	193	10	−	−	PROPN
sc-1172	193	11	mt	mt	PROPN
sc-1172	194	1	+	+	CCONJ
sc-1172	194	2	λt+1	λt+1	PROPN
sc-1172	194	3	(	(	PUNCT
sc-1172	194	4	1−	1−	NUM
sc-1172	194	5	λ)λ	λ)λ	X
sc-1172	194	6	.	.	PUNCT
sc-1172	195	1	(	(	PUNCT
sc-1172	195	2	19	19	NUM
sc-1172	195	3	)	)	PUNCT
sc-1172	195	4	proof	proof	NOUN
sc-1172	195	5	.	.	PUNCT
sc-1172	196	1	the	the	DET
sc-1172	196	2	improvement	improvement	NOUN
sc-1172	196	3	in	in	ADP
sc-1172	196	4	mean	mean	ADJ
sc-1172	196	5	delay	delay	NOUN
sc-1172	196	6	compared	compare	VERB
sc-1172	196	7	to	to	ADP
sc-1172	196	8	a	a	DET
sc-1172	196	9	standard	standard	ADJ
sc-1172	196	10	m	m	NOUN
sc-1172	196	11	/	/	SYM
sc-1172	196	12	m/1	m/1	NOUN
sc-1172	196	13	queue	queue	NOUN
sc-1172	196	14	,	,	PUNCT
sc-1172	196	15	can	can	AUX
sc-1172	196	16	be	be	AUX
sc-1172	196	17	expressed	express	VERB
sc-1172	196	18	as	as	ADP
sc-1172	196	19	a	a	DET
sc-1172	196	20	migration	migration	NOUN
sc-1172	196	21	frequency	frequency	NOUN
sc-1172	196	22	(	(	PUNCT
sc-1172	196	23	mmp	mmp	PROPN
sc-1172	196	24	/	/	SYM
sc-1172	196	25	λ	λ	PROPN
sc-1172	196	26	)	)	PUNCT
sc-1172	196	27	times	time	VERB
sc-1172	196	28	a	a	DET
sc-1172	196	29	migration	migration	NOUN
sc-1172	196	30	gain	gain	NOUN
sc-1172	196	31	.	.	PUNCT
sc-1172	197	1	the	the	DET
sc-1172	197	2	migration	migration	NOUN
sc-1172	197	3	frequency	frequency	NOUN
sc-1172	197	4	denotes	denote	VERB
sc-1172	197	5	how	how	SCONJ
sc-1172	197	6	many	many	ADJ
sc-1172	197	7	migrations	migration	NOUN
sc-1172	197	8	per	per	ADP
sc-1172	197	9	job	job	NOUN
sc-1172	197	10	take	take	VERB
sc-1172	197	11	place	place	NOUN
sc-1172	197	12	on	on	ADP
sc-1172	197	13	average	average	ADJ
sc-1172	197	14	.	.	PUNCT
sc-1172	198	1	the	the	DET
sc-1172	198	2	migration	migration	NOUN
sc-1172	198	3	gain	gain	NOUN
sc-1172	198	4	quantifies	quantifie	NOUN
sc-1172	198	5	the	the	DET
sc-1172	198	6	number	number	NOUN
sc-1172	198	7	of	of	ADP
sc-1172	198	8	places	place	NOUN
sc-1172	198	9	in	in	ADP
sc-1172	198	10	the	the	DET
sc-1172	198	11	queue	queue	NOUN
sc-1172	198	12	the	the	DET
sc-1172	198	13	migrating	migrating	NOUN
sc-1172	198	14	job	job	NOUN
sc-1172	198	15	skips	skip	VERB
sc-1172	198	16	.	.	PUNCT
sc-1172	199	1	the	the	DET
sc-1172	199	2	fraction	fraction	NOUN
sc-1172	199	3	of	of	ADP
sc-1172	199	4	migrating	migrating	NOUN
sc-1172	199	5	jobs	job	NOUN
sc-1172	199	6	arriving	arrive	VERB
sc-1172	199	7	at	at	ADP
sc-1172	199	8	a	a	DET
sc-1172	199	9	queue	queue	NOUN
sc-1172	199	10	with	with	ADP
sc-1172	199	11	length	length	NOUN
sc-1172	199	12	t	t	PROPN
sc-1172	199	13	(	(	PUNCT
sc-1172	199	14	π̇tλ	π̇tλ	PROPN
sc-1172	199	15	/	/	SYM
sc-1172	199	16	mmp	mmp	PROPN
sc-1172	199	17	)	)	PUNCT
sc-1172	199	18	skip	skip	VERB
sc-1172	199	19	t	t	NOUN
sc-1172	199	20	places	place	NOUN
sc-1172	199	21	in	in	ADP
sc-1172	199	22	the	the	DET
sc-1172	199	23	queue	queue	NOUN
sc-1172	199	24	.	.	PUNCT
sc-1172	200	1	the	the	DET
sc-1172	200	2	fraction	fraction	NOUN
sc-1172	200	3	of	of	ADP
sc-1172	200	4	migrating	migrating	NOUN
sc-1172	200	5	jobs	job	NOUN
sc-1172	200	6	from	from	ADP
sc-1172	200	7	queues	queue	NOUN
sc-1172	200	8	with	with	ADP
sc-1172	200	9	length	length	NOUN
sc-1172	200	10	t	t	PROPN
sc-1172	200	11	,	,	PUNCT
sc-1172	200	12	being	be	AUX
sc-1172	200	13	πt	πt	ADP
sc-1172	200	14	r(1−λ)/mmp	r(1−λ)/mmp	ADJ
sc-1172	200	15	,	,	PUNCT
sc-1172	200	16	skip	skip	VERB
sc-1172	200	17	t	t	NOUN
sc-1172	200	18	−	−	PROPN
sc-1172	200	19	1	1	NUM
sc-1172	200	20	places	place	NOUN
sc-1172	200	21	in	in	ADP
sc-1172	200	22	the	the	DET
sc-1172	200	23	queue	queue	NOUN
sc-1172	200	24	.	.	PUNCT
sc-1172	201	1	hence	hence	ADV
sc-1172	201	2	,	,	PUNCT
sc-1172	201	3	the	the	DET
sc-1172	201	4	migration	migration	NOUN
sc-1172	201	5	gain	gain	NOUN
sc-1172	201	6	is	be	AUX
sc-1172	201	7	(	(	PUNCT
sc-1172	201	8	α	α	X
sc-1172	201	9	+	+	X
sc-1172	201	10	β)/mmp	β)/mmp	PROPN
sc-1172	201	11	.	.	PUNCT
sc-1172	202	1	the	the	DET
sc-1172	202	2	reduction	reduction	NOUN
sc-1172	202	3	to	to	ADP
sc-1172	202	4	dmp|m	dmp|m	PROPN
sc-1172	202	5	is	be	AUX
sc-1172	202	6	found	find	VERB
sc-1172	202	7	by	by	ADP
sc-1172	202	8	applying	apply	VERB
sc-1172	202	9	little	little	ADJ
sc-1172	202	10	’s	’s	PART
sc-1172	202	11	law	law	NOUN
sc-1172	202	12	to	to	ADP
sc-1172	202	13	the	the	DET
sc-1172	202	14	expression	expression	NOUN
sc-1172	202	15	for	for	ADP
sc-1172	202	16	π̇	π̇	PROPN
sc-1172	202	17	in	in	ADP
sc-1172	202	18	(	(	PUNCT
sc-1172	202	19	16	16	NUM
sc-1172	202	20	)	)	PUNCT
sc-1172	202	21	,	,	PUNCT
sc-1172	202	22	and	and	CCONJ
sc-1172	202	23	shows	show	VERB
sc-1172	202	24	the	the	DET
sc-1172	202	25	improvement	improvement	NOUN
sc-1172	202	26	over	over	ADP
sc-1172	202	27	an	an	DET
sc-1172	202	28	m	m	PROPN
sc-1172	202	29	/	/	SYM
sc-1172	202	30	m/1	m/1	NOUN
sc-1172	202	31	queue	queue	NOUN
sc-1172	202	32	explicitly	explicitly	ADV
sc-1172	202	33	.	.	PUNCT
sc-1172	203	1	0.3	0.3	NUM
sc-1172	203	2	0.4	0.4	NUM
sc-1172	203	3	0.5	0.5	NUM
sc-1172	203	4	0.6	0.6	NUM
sc-1172	203	5	0.7	0.7	NUM
sc-1172	203	6	0.8	0.8	NUM
sc-1172	203	7	0.9	0.9	NUM
sc-1172	203	8	1	1	NUM
sc-1172	203	9	0	0	NUM
sc-1172	203	10	1	1	NUM
sc-1172	203	11	2	2	NUM
sc-1172	203	12	3	3	NUM
sc-1172	203	13	4	4	NUM
sc-1172	203	14	5	5	NUM
sc-1172	203	15	6	6	NUM
sc-1172	203	16	r=1	r=1	NOUN
sc-1172	203	17	m=0.1	m=0.1	X
sc-1172	203	18	t	t	PROPN
sc-1172	203	19	1	1	NUM
sc-1172	203	20	t	t	NOUN
sc-1172	203	21	4	4	NUM
sc-1172	203	22	load	load	NOUN
sc-1172	203	23	(	(	PUNCT
sc-1172	203	24	λ	λ	NOUN
sc-1172	203	25	)	)	PUNCT
sc-1172	203	26	m	m	VERB
sc-1172	203	27	e	e	NOUN
sc-1172	203	28	a	a	PRON
sc-1172	203	29	n	n	NOUN
sc-1172	203	30	d	d	X
sc-1172	203	31	e	e	X
sc-1172	203	32	la	la	PROPN
sc-1172	203	33	y	y	PROPN
sc-1172	203	34	(	(	PUNCT
sc-1172	203	35	d	d	NOUN
sc-1172	203	36	)	)	PUNCT
sc-1172	203	37	figure	figure	NOUN
sc-1172	203	38	2	2	NUM
sc-1172	203	39	:	:	PUNCT
sc-1172	203	40	the	the	DET
sc-1172	203	41	mean	mean	ADJ
sc-1172	203	42	delay	delay	NOUN
sc-1172	203	43	of	of	ADP
sc-1172	203	44	the	the	DET
sc-1172	203	45	pull	pull	ADJ
sc-1172	203	46	strategy	strategy	NOUN
sc-1172	203	47	for	for	ADP
sc-1172	203	48	t	t	NOUN
sc-1172	203	49	=	=	SYM
sc-1172	203	50	1	1	NUM
sc-1172	203	51	,	,	PUNCT
sc-1172	203	52	...	...	PUNCT
sc-1172	203	53	,	,	PUNCT
sc-1172	203	54	4	4	X
sc-1172	203	55	.	.	X
sc-1172	204	1	the	the	DET
sc-1172	204	2	probe	probe	NOUN
sc-1172	204	3	rate	rate	NOUN
sc-1172	204	4	r	r	NOUN
sc-1172	204	5	is	be	AUX
sc-1172	204	6	constrained	constrain	VERB
sc-1172	204	7	by	by	ADP
sc-1172	204	8	both	both	DET
sc-1172	204	9	r	r	NOUN
sc-1172	204	10	and	and	CCONJ
sc-1172	204	11	m	m	PROPN
sc-1172	204	12	(	(	PUNCT
sc-1172	204	13	full	full	ADJ
sc-1172	204	14	lines	line	NOUN
sc-1172	204	15	)	)	PUNCT
sc-1172	204	16	.	.	PUNCT
sc-1172	205	1	the	the	DET
sc-1172	205	2	delay	delay	NOUN
sc-1172	205	3	shown	show	VERB
sc-1172	205	4	in	in	ADP
sc-1172	205	5	dashed	dash	VERB
sc-1172	205	6	lines	line	NOUN
sc-1172	205	7	is	be	AUX
sc-1172	205	8	achieved	achieve	VERB
sc-1172	205	9	when	when	SCONJ
sc-1172	205	10	there	there	PRON
sc-1172	205	11	is	be	VERB
sc-1172	205	12	no	no	DET
sc-1172	205	13	migration	migration	NOUN
sc-1172	205	14	limit	limit	NOUN
sc-1172	205	15	,	,	PUNCT
sc-1172	205	16	and	and	CCONJ
sc-1172	205	17	only	only	ADV
sc-1172	205	18	the	the	DET
sc-1172	205	19	probe	probe	NOUN
sc-1172	205	20	limit	limit	NOUN
sc-1172	205	21	is	be	AUX
sc-1172	205	22	in	in	ADP
sc-1172	205	23	effect	effect	NOUN
sc-1172	205	24	.	.	PUNCT
sc-1172	206	1	choosing	choose	VERB
sc-1172	206	2	t	t	PROPN
sc-1172	207	1	=	=	SYM
sc-1172	207	2	1	1	NUM
sc-1172	207	3	is	be	AUX
sc-1172	207	4	no	no	PRON
sc-1172	207	5	longer	long	ADV
sc-1172	207	6	optimal	optimal	ADJ
sc-1172	207	7	when	when	SCONJ
sc-1172	207	8	a	a	DET
sc-1172	207	9	maximum	maximum	ADJ
sc-1172	207	10	migration	migration	NOUN
sc-1172	207	11	rate	rate	NOUN
sc-1172	207	12	is	be	AUX
sc-1172	207	13	imposed	impose	VERB
sc-1172	207	14	.	.	PUNCT
sc-1172	208	1	5	5	X
sc-1172	208	2	.	.	X
sc-1172	208	3	conditional	conditional	ADJ
sc-1172	208	4	pull	pull	VERB
sc-1172	208	5	when	when	SCONJ
sc-1172	208	6	only	only	ADV
sc-1172	208	7	considering	consider	VERB
sc-1172	208	8	a	a	DET
sc-1172	208	9	maximum	maximum	ADV
sc-1172	208	10	allowed	allow	VERB
sc-1172	208	11	probe	probe	NOUN
sc-1172	208	12	rate	rate	NOUN
sc-1172	208	13	r	r	PROPN
sc-1172	208	14	,	,	PUNCT
sc-1172	208	15	the	the	DET
sc-1172	208	16	optimal	optimal	ADJ
sc-1172	208	17	choice	choice	NOUN
sc-1172	208	18	for	for	ADP
sc-1172	208	19	a	a	DET
sc-1172	208	20	pull	pull	NOUN
sc-1172	208	21	strategy	strategy	NOUN
sc-1172	208	22	is	be	AUX
sc-1172	208	23	to	to	PART
sc-1172	208	24	let	let	VERB
sc-1172	208	25	t	t	NOUN
sc-1172	208	26	=	=	SYM
sc-1172	209	1	1	1	NUM
sc-1172	210	1	[	[	SYM
sc-1172	210	2	6	6	NUM
sc-1172	210	3	,	,	PUNCT
sc-1172	210	4	theorem	theorem	VERB
sc-1172	210	5	5	5	NUM
sc-1172	210	6	]	]	PUNCT
sc-1172	210	7	.	.	PUNCT
sc-1172	211	1	this	this	PRON
sc-1172	211	2	is	be	AUX
sc-1172	211	3	no	no	ADV
sc-1172	211	4	longer	long	ADV
sc-1172	211	5	the	the	DET
sc-1172	211	6	case	case	NOUN
sc-1172	211	7	when	when	SCONJ
sc-1172	211	8	taking	take	VERB
sc-1172	211	9	a	a	DET
sc-1172	211	10	maximum	maximum	ADJ
sc-1172	211	11	allowed	allow	VERB
sc-1172	211	12	migration	migration	NOUN
sc-1172	211	13	rate	rate	NOUN
sc-1172	211	14	m	m	VERB
sc-1172	211	15	into	into	ADP
sc-1172	211	16	account	account	NOUN
sc-1172	211	17	,	,	PUNCT
sc-1172	211	18	as	as	SCONJ
sc-1172	211	19	shown	show	VERB
sc-1172	211	20	in	in	ADP
sc-1172	211	21	figure	figure	NOUN
sc-1172	211	22	2	2	NUM
sc-1172	211	23	.	.	PUNCT
sc-1172	211	24	intuitively	intuitively	ADV
sc-1172	211	25	,	,	PUNCT
sc-1172	211	26	when	when	SCONJ
sc-1172	211	27	the	the	DET
sc-1172	211	28	migration	migration	NOUN
sc-1172	211	29	limit	limit	NOUN
sc-1172	211	30	is	be	AUX
sc-1172	211	31	small	small	ADJ
sc-1172	211	32	,	,	PUNCT
sc-1172	211	33	it	it	PRON
sc-1172	211	34	is	be	AUX
sc-1172	211	35	best	good	ADJ
sc-1172	211	36	to	to	PART
sc-1172	211	37	pull	pull	VERB
sc-1172	211	38	jobs	job	NOUN
sc-1172	211	39	from	from	ADP
sc-1172	211	40	longer	long	ADJ
sc-1172	211	41	queues	queue	NOUN
sc-1172	211	42	only	only	ADV
sc-1172	211	43	,	,	PUNCT
sc-1172	211	44	resulting	result	VERB
sc-1172	211	45	in	in	ADP
sc-1172	211	46	a	a	DET
sc-1172	211	47	lower	low	ADJ
sc-1172	211	48	mean	mean	ADJ
sc-1172	211	49	delay	delay	NOUN
sc-1172	211	50	.	.	PUNCT
sc-1172	212	1	to	to	PART
sc-1172	212	2	reduce	reduce	VERB
sc-1172	212	3	the	the	DET
sc-1172	212	4	mean	mean	ADJ
sc-1172	212	5	delay	delay	NOUN
sc-1172	212	6	of	of	ADP
sc-1172	212	7	the	the	DET
sc-1172	212	8	rate	rate	NOUN
sc-1172	212	9	-	-	PUNCT
sc-1172	212	10	based	base	VERB
sc-1172	212	11	pull	pull	NOUN
sc-1172	212	12	strategy	strategy	NOUN
sc-1172	212	13	,	,	PUNCT
sc-1172	212	14	we	we	PRON
sc-1172	212	15	introduce	introduce	VERB
sc-1172	212	16	the	the	DET
sc-1172	212	17	conditional	conditional	ADJ
sc-1172	212	18	pull	pull	NOUN
sc-1172	212	19	strategy	strategy	NOUN
sc-1172	212	20	that	that	PRON
sc-1172	212	21	can	can	AUX
sc-1172	212	22	match	match	VERB
sc-1172	212	23	both	both	DET
sc-1172	212	24	r	r	NOUN
sc-1172	212	25	and	and	CCONJ
sc-1172	212	26	m	m	NOUN
sc-1172	212	27	.	.	PUNCT
sc-1172	213	1	empty	empty	ADJ
sc-1172	213	2	servers	server	NOUN
sc-1172	213	3	send	send	VERB
sc-1172	213	4	probes	probe	NOUN
sc-1172	213	5	according	accord	VERB
sc-1172	213	6	to	to	ADP
sc-1172	213	7	an	an	DET
sc-1172	213	8	interrupted	interrupted	ADJ
sc-1172	213	9	poisson	poisson	NOUN
sc-1172	213	10	process	process	NOUN
sc-1172	213	11	with	with	ADP
sc-1172	213	12	rate	rate	NOUN
sc-1172	213	13	r.	r.	PROPN
sc-1172	213	14	under	under	ADP
sc-1172	213	15	the	the	DET
sc-1172	213	16	conditional	conditional	ADJ
sc-1172	213	17	pull	pull	NOUN
sc-1172	213	18	strategy	strategy	NOUN
sc-1172	213	19	,	,	PUNCT
sc-1172	213	20	empty	empty	ADJ
sc-1172	213	21	nodes	node	NOUN
sc-1172	213	22	always	always	ADV
sc-1172	213	23	accept	accept	VERB
sc-1172	213	24	jobs	job	NOUN
sc-1172	213	25	from	from	ADP
sc-1172	213	26	queues	queue	NOUN
sc-1172	213	27	with	with	ADP
sc-1172	213	28	length	length	NOUN
sc-1172	213	29	of	of	ADP
sc-1172	213	30	at	at	ADP
sc-1172	213	31	least	least	ADJ
sc-1172	213	32	t	t	NOUN
sc-1172	214	1	+	+	CCONJ
sc-1172	214	2	1	1	NUM
sc-1172	214	3	and	and	CCONJ
sc-1172	214	4	also	also	ADV
sc-1172	214	5	accept	accept	VERB
sc-1172	214	6	jobs	job	NOUN
sc-1172	214	7	from	from	ADP
sc-1172	214	8	a	a	DET
sc-1172	214	9	queue	queue	NOUN
sc-1172	214	10	with	with	ADP
sc-1172	214	11	length	length	NOUN
sc-1172	214	12	t	t	NOUN
sc-1172	214	13	with	with	ADP
sc-1172	214	14	some	some	DET
sc-1172	214	15	probability	probability	NOUN
sc-1172	215	1	p.	p.	NOUN
sc-1172	215	2	this	this	DET
sc-1172	215	3	strategy	strategy	NOUN
sc-1172	215	4	relies	rely	VERB
sc-1172	215	5	on	on	ADP
sc-1172	215	6	the	the	DET
sc-1172	215	7	choice	choice	NOUN
sc-1172	215	8	of	of	ADP
sc-1172	215	9	p	p	NOUN
sc-1172	215	10	to	to	PART
sc-1172	215	11	match	match	VERB
sc-1172	215	12	the	the	DET
sc-1172	215	13	migration	migration	NOUN
sc-1172	215	14	rate	rate	NOUN
sc-1172	215	15	m	m	NOUN
sc-1172	215	16	,	,	PUNCT
sc-1172	215	17	and	and	CCONJ
sc-1172	215	18	lets	let	VERB
sc-1172	215	19	the	the	DET
sc-1172	215	20	probe	probe	NOUN
sc-1172	215	21	rate	rate	NOUN
sc-1172	215	22	r	r	NOUN
sc-1172	215	23	be	be	AUX
sc-1172	215	24	determined	determine	VERB
sc-1172	215	25	by	by	ADP
sc-1172	215	26	r	r	NOUN
sc-1172	215	27	,	,	PUNCT
sc-1172	215	28	i.e.	i.e.	X
sc-1172	215	29	r	r	NOUN
sc-1172	215	30	=	=	SYM
sc-1172	215	31	rpull|r	rpull|r	NOUN
sc-1172	215	32	=	=	SYM
sc-1172	215	33	r/(1−	r/(1−	PROPN
sc-1172	215	34	λ	λ	PROPN
sc-1172	215	35	)	)	PUNCT
sc-1172	215	36	.	.	PUNCT
sc-1172	216	1	thus	thus	ADV
sc-1172	216	2	,	,	PUNCT
sc-1172	216	3	both	both	DET
sc-1172	216	4	r	r	NOUN
sc-1172	216	5	and	and	CCONJ
sc-1172	216	6	m	m	PROPN
sc-1172	216	7	are	be	AUX
sc-1172	216	8	matched	match	VERB
sc-1172	216	9	,	,	PUNCT
sc-1172	216	10	this	this	PRON
sc-1172	216	11	is	be	AUX
sc-1172	216	12	in	in	ADP
sc-1172	216	13	contrast	contrast	NOUN
sc-1172	216	14	with	with	ADP
sc-1172	216	15	the	the	DET
sc-1172	216	16	previous	previous	ADJ
sc-1172	216	17	strategies	strategy	NOUN
sc-1172	216	18	,	,	PUNCT
sc-1172	216	19	where	where	SCONJ
sc-1172	216	20	r	r	NOUN
sc-1172	216	21	was	be	AUX
sc-1172	216	22	always	always	ADV
sc-1172	216	23	chosen	choose	VERB
sc-1172	216	24	as	as	ADV
sc-1172	216	25	large	large	ADJ
sc-1172	216	26	as	as	ADP
sc-1172	216	27	possible	possible	ADJ
sc-1172	216	28	without	without	ADP
sc-1172	216	29	exceeding	exceed	VERB
sc-1172	216	30	r	r	NOUN
sc-1172	216	31	and	and	CCONJ
sc-1172	216	32	m	m	PROPN
sc-1172	216	33	.	.	PUNCT
sc-1172	217	1	first	first	ADV
sc-1172	217	2	we	we	PRON
sc-1172	217	3	note	note	VERB
sc-1172	217	4	that	that	SCONJ
sc-1172	217	5	one	one	PRON
sc-1172	217	6	can	can	AUX
sc-1172	217	7	easily	easily	ADV
sc-1172	217	8	see	see	VERB
sc-1172	217	9	that	that	PRON
sc-1172	217	10	for	for	ADP
sc-1172	217	11	λt	λt	INTJ
sc-1172	217	12	,	,	PUNCT
sc-1172	217	13	being	be	AUX
sc-1172	217	14	the	the	DET
sc-1172	217	15	unique	unique	ADJ
sc-1172	217	16	root	root	NOUN
sc-1172	217	17	defined	define	VERB
sc-1172	217	18	in	in	ADP
sc-1172	217	19	lemma	lemma	PROPN
sc-1172	217	20	2	2	NUM
sc-1172	217	21	,	,	PUNCT
sc-1172	217	22	λt	λt	ADP
sc-1172	217	23	<	<	X
sc-1172	217	24	λt+1	λt+1	X
sc-1172	217	25	(	(	PUNCT
sc-1172	217	26	as	as	ADP
sc-1172	217	27	m/((λ(1−	m/((λ(1−	PROPN
sc-1172	217	28	λ	λ	PROPN
sc-1172	217	29	)	)	PUNCT
sc-1172	217	30	+	+	CCONJ
sc-1172	218	1	m)λt	m)λt	PROPN
sc-1172	218	2	−	−	PROPN
sc-1172	218	3	m	m	NOUN
sc-1172	218	4	)	)	PUNCT
sc-1172	218	5	increases	increase	NOUN
sc-1172	218	6	in	in	ADP
sc-1172	218	7	t	t	PROPN
sc-1172	218	8	and	and	CCONJ
sc-1172	218	9	r	r	NOUN
sc-1172	218	10	1−λ	1−λ	NUM
sc-1172	218	11	increases	increase	NOUN
sc-1172	218	12	in	in	ADP
sc-1172	218	13	λ	λ	NOUN
sc-1172	218	14	independent	independent	ADJ
sc-1172	218	15	of	of	ADP
sc-1172	218	16	t	t	PROPN
sc-1172	218	17	)	)	PUNCT
sc-1172	218	18	.	.	PUNCT
sc-1172	219	1	given	give	VERB
sc-1172	219	2	λ	λ	PROPN
sc-1172	219	3	,	,	PUNCT
sc-1172	219	4	the	the	DET
sc-1172	219	5	conditional	conditional	ADJ
sc-1172	219	6	pull	pull	NOUN
sc-1172	219	7	strategy	strategy	NOUN
sc-1172	219	8	sets	set	NOUN
sc-1172	219	9	t	t	NOUN
sc-1172	219	10	such	such	ADJ
sc-1172	219	11	that	that	SCONJ
sc-1172	219	12	λt−1	λt−1	PROPN
sc-1172	219	13	≤	≤	PUNCT
sc-1172	219	14	λ	λ	NOUN
sc-1172	219	15	<	<	X
sc-1172	219	16	λt	λt	X
sc-1172	219	17	,	,	PUNCT
sc-1172	219	18	(	(	PUNCT
sc-1172	219	19	20	20	NUM
sc-1172	219	20	)	)	PUNCT
sc-1172	219	21	with	with	ADP
sc-1172	219	22	λ0	λ0	NOUN
sc-1172	219	23	=	=	NOUN
sc-1172	219	24	0	0	NUM
sc-1172	219	25	.	.	PUNCT
sc-1172	219	26	to	to	PART
sc-1172	219	27	analyze	analyze	VERB
sc-1172	219	28	the	the	DET
sc-1172	219	29	response	response	NOUN
sc-1172	219	30	time	time	NOUN
sc-1172	219	31	of	of	ADP
sc-1172	219	32	a	a	DET
sc-1172	219	33	job	job	NOUN
sc-1172	219	34	under	under	ADP
sc-1172	219	35	the	the	DET
sc-1172	219	36	conditional	conditional	ADJ
sc-1172	219	37	pull	pull	NOUN
sc-1172	219	38	strategy	strategy	NOUN
sc-1172	219	39	we	we	PRON
sc-1172	219	40	introduce	introduce	VERB
sc-1172	219	41	a	a	DET
sc-1172	219	42	set	set	NOUN
sc-1172	219	43	of	of	ADP
sc-1172	219	44	odes	ode	NOUN
sc-1172	219	45	d	d	NOUN
sc-1172	219	46	dt	dt	NOUN
sc-1172	219	47	xi(t	xi(t	PUNCT
sc-1172	219	48	)	)	PUNCT
sc-1172	219	49	=	=	SYM
sc-1172	219	50	h(x(t	h(x(t	PROPN
sc-1172	219	51	)	)	PUNCT
sc-1172	219	52	)	)	PUNCT
sc-1172	219	53	,	,	PUNCT
sc-1172	219	54	where	where	SCONJ
sc-1172	219	55	x(t	x(t	PROPN
sc-1172	219	56	)	)	PUNCT
sc-1172	219	57	=	=	SYM
sc-1172	219	58	(	(	PUNCT
sc-1172	219	59	x1(t	x1(t	PROPN
sc-1172	219	60	)	)	PUNCT
sc-1172	219	61	,	,	PUNCT
sc-1172	219	62	x2(t	x2(t	PROPN
sc-1172	219	63	)	)	PUNCT
sc-1172	219	64	,	,	PUNCT
sc-1172	219	65	.	.	PUNCT
sc-1172	219	66	.	.	PUNCT
sc-1172	219	67	.	.	PUNCT
sc-1172	219	68	)	)	PUNCT
sc-1172	220	1	and	and	CCONJ
sc-1172	220	2	xi(t	xi(t	NOUN
sc-1172	220	3	)	)	PUNCT
sc-1172	220	4	represents	represent	VERB
sc-1172	220	5	the	the	DET
sc-1172	220	6	fraction	fraction	NOUN
sc-1172	220	7	of	of	ADP
sc-1172	220	8	the	the	DET
sc-1172	220	9	number	number	NOUN
sc-1172	220	10	of	of	ADP
sc-1172	220	11	nodes	node	NOUN
sc-1172	220	12	with	with	ADP
sc-1172	220	13	at	at	ADV
sc-1172	220	14	least	least	ADJ
sc-1172	220	15	i	i	PRON
sc-1172	220	16	jobs	job	NOUN
sc-1172	220	17	at	at	ADP
sc-1172	220	18	time	time	NOUN
sc-1172	220	19	t.	t.	PROPN
sc-1172	220	20	as	as	SCONJ
sc-1172	220	21	explained	explain	VERB
sc-1172	220	22	below	below	ADV
sc-1172	220	23	,	,	PUNCT
sc-1172	220	24	the	the	DET
sc-1172	220	25	set	set	NOUN
sc-1172	220	26	of	of	ADP
sc-1172	220	27	odes	ode	NOUN
sc-1172	220	28	h(x(t	h(x(t	PROPN
sc-1172	220	29	)	)	PUNCT
sc-1172	220	30	)	)	PUNCT
sc-1172	221	1	describing	describe	VERB
sc-1172	221	2	the	the	DET
sc-1172	221	3	time	time	NOUN
sc-1172	221	4	evolution	evolution	NOUN
sc-1172	221	5	of	of	ADP
sc-1172	221	6	the	the	DET
sc-1172	221	7	queue	queue	NOUN
sc-1172	221	8	lengths	length	NOUN
sc-1172	221	9	under	under	ADP
sc-1172	221	10	the	the	DET
sc-1172	221	11	conditional	conditional	ADJ
sc-1172	221	12	pull	pull	NOUN
sc-1172	221	13	strategy	strategy	NOUN
sc-1172	221	14	is	be	AUX
sc-1172	221	15	defined	define	VERB
sc-1172	221	16	as	as	ADP
sc-1172	221	17	0.3	0.3	NUM
sc-1172	221	18	0.4	0.4	NUM
sc-1172	221	19	0.5	0.5	NUM
sc-1172	221	20	0.6	0.6	NUM
sc-1172	221	21	0.7	0.7	NUM
sc-1172	221	22	0.8	0.8	NUM
sc-1172	221	23	0.9	0.9	NUM
sc-1172	221	24	0.5	0.5	NUM
sc-1172	221	25	1	1	NUM
sc-1172	221	26	1.5	1.5	NUM
sc-1172	221	27	2	2	NUM
sc-1172	221	28	2.5	2.5	NUM
sc-1172	221	29	3	3	NUM
sc-1172	221	30	3.5	3.5	NUM
sc-1172	221	31	4	4	NUM
sc-1172	221	32	4.5	4.5	NUM
sc-1172	221	33	r=1	r=1	NOUN
sc-1172	221	34	m=0.1	m=0.1	X
sc-1172	221	35	t	t	PROPN
sc-1172	221	36	1	1	NUM
sc-1172	221	37	t	t	PROPN
sc-1172	221	38	5	5	NUM
sc-1172	221	39	load	load	NOUN
sc-1172	221	40	(	(	PUNCT
sc-1172	221	41	λ	λ	NOUN
sc-1172	221	42	)	)	PUNCT
sc-1172	221	43	m	m	VERB
sc-1172	221	44	e	e	NOUN
sc-1172	221	45	a	a	PRON
sc-1172	221	46	n	n	NOUN
sc-1172	221	47	d	d	X
sc-1172	221	48	e	e	X
sc-1172	221	49	la	la	PROPN
sc-1172	221	50	y	y	PROPN
sc-1172	221	51	(	(	PUNCT
sc-1172	221	52	d	d	NOUN
sc-1172	221	53	)	)	PUNCT
sc-1172	221	54	figure	figure	NOUN
sc-1172	221	55	3	3	NUM
sc-1172	221	56	:	:	PUNCT
sc-1172	221	57	showing	show	VERB
sc-1172	221	58	the	the	DET
sc-1172	221	59	mean	mean	ADJ
sc-1172	221	60	delay	delay	NOUN
sc-1172	221	61	of	of	ADP
sc-1172	221	62	the	the	DET
sc-1172	221	63	pull	pull	ADJ
sc-1172	221	64	strategy	strategy	NOUN
sc-1172	221	65	with	with	ADP
sc-1172	221	66	t	t	PROPN
sc-1172	221	67	>	>	X
sc-1172	221	68	1	1	NUM
sc-1172	221	69	,	,	PUNCT
sc-1172	221	70	respecting	respect	VERB
sc-1172	221	71	a	a	DET
sc-1172	221	72	migration	migration	NOUN
sc-1172	221	73	limit	limit	NOUN
sc-1172	221	74	ṁ	ṁ	PROPN
sc-1172	221	75	.	.	PUNCT
sc-1172	222	1	the	the	DET
sc-1172	222	2	conditional	conditional	ADJ
sc-1172	222	3	pull	pull	NOUN
sc-1172	222	4	variant	variant	NOUN
sc-1172	222	5	is	be	AUX
sc-1172	222	6	shown	show	VERB
sc-1172	222	7	in	in	ADP
sc-1172	222	8	dashed	dash	VERB
sc-1172	222	9	lines	line	NOUN
sc-1172	222	10	.	.	PUNCT
sc-1172	223	1	dx1(t	dx1(t	ADJ
sc-1172	223	2	)	)	PUNCT
sc-1172	223	3	dt	dt	NOUN
sc-1172	224	1	=	=	SYM
sc-1172	224	2	−(x1(t)−	−(x1(t)−	PROPN
sc-1172	224	3	x2(t	x2(t	PROPN
sc-1172	224	4	)	)	PUNCT
sc-1172	224	5	)	)	PUNCT
sc-1172	225	1	+	+	CCONJ
sc-1172	225	2	(	(	PUNCT
sc-1172	225	3	λ+	λ+	PUNCT
sc-1172	225	4	rxt+1(t	rxt+1(t	NOUN
sc-1172	225	5	)	)	PUNCT
sc-1172	226	1	+	+	NUM
sc-1172	226	2	rp(xt	rp(xt	NOUN
sc-1172	226	3	(	(	PUNCT
sc-1172	226	4	t)−	t)−	PROPN
sc-1172	226	5	xt+1(t)))(1−	xt+1(t)))(1−	PROPN
sc-1172	226	6	x1(t	x1(t	PROPN
sc-1172	226	7	)	)	PUNCT
sc-1172	226	8	)	)	PUNCT
sc-1172	226	9	(	(	PUNCT
sc-1172	226	10	21	21	X
sc-1172	226	11	)	)	PUNCT
sc-1172	226	12	dxi(t	dxi(t	PROPN
sc-1172	226	13	)	)	PUNCT
sc-1172	226	14	dt	dt	NOUN
sc-1172	226	15	=	=	SYM
sc-1172	226	16	λ(xi−1(t	λ(xi−1(t	PROPN
sc-1172	226	17	)	)	PUNCT
sc-1172	226	18	−	−	PROPN
sc-1172	226	19	xi(t	xi(t	NOUN
sc-1172	226	20	)	)	PUNCT
sc-1172	226	21	)	)	PUNCT
sc-1172	227	1	−	−	PROPN
sc-1172	227	2	(	(	PUNCT
sc-1172	227	3	xi(t	xi(t	NOUN
sc-1172	227	4	)	)	PUNCT
sc-1172	227	5	−	−	PROPN
sc-1172	227	6	xi+1(t	xi+1(t	PROPN
sc-1172	227	7	)	)	PUNCT
sc-1172	227	8	)	)	PUNCT
sc-1172	227	9	,	,	PUNCT
sc-1172	227	10	(	(	PUNCT
sc-1172	227	11	22	22	NUM
sc-1172	227	12	)	)	PUNCT
sc-1172	227	13	for	for	ADP
sc-1172	227	14	1	1	NUM
sc-1172	227	15	<	<	X
sc-1172	227	16	i	i	PRON
sc-1172	227	17	<	<	X
sc-1172	227	18	t	t	PROPN
sc-1172	227	19	,	,	PUNCT
sc-1172	227	20	and	and	CCONJ
sc-1172	227	21	dxi(t	dxi(t	NOUN
sc-1172	227	22	)	)	PUNCT
sc-1172	227	23	dt	dt	NOUN
sc-1172	228	1	=	=	PUNCT
sc-1172	228	2	λ(xi−1(t)−	λ(xi−1(t)−	PROPN
sc-1172	228	3	xi(t	xi(t	PUNCT
sc-1172	228	4	)	)	PUNCT
sc-1172	228	5	)	)	PUNCT
sc-1172	229	1	−	−	PROPN
sc-1172	229	2	(	(	PUNCT
sc-1172	229	3	1	1	NUM
sc-1172	229	4	+	+	NUM
sc-1172	229	5	rp1[i	rp1[i	NUM
sc-1172	229	6	=	=	SYM
sc-1172	229	7	t	t	NOUN
sc-1172	229	8	]	]	PUNCT
sc-1172	229	9	(	(	PUNCT
sc-1172	229	10	1−	1−	NUM
sc-1172	229	11	x1(t)))(xi(t)−	x1(t)))(xi(t)−	PROPN
sc-1172	229	12	xi+1(t	xi+1(t	PROPN
sc-1172	229	13	)	)	PUNCT
sc-1172	229	14	)	)	PUNCT
sc-1172	229	15	,	,	PUNCT
sc-1172	229	16	(	(	PUNCT
sc-1172	229	17	23	23	NUM
sc-1172	229	18	)	)	PUNCT
sc-1172	229	19	for	for	ADP
sc-1172	229	20	i	i	PRON
sc-1172	229	21	≥	≥	PROPN
sc-1172	229	22	t	t	PROPN
sc-1172	229	23	,	,	PUNCT
sc-1172	229	24	where	where	SCONJ
sc-1172	229	25	1[a	1[a	X
sc-1172	229	26	]	]	X
sc-1172	229	27	=	=	PUNCT
sc-1172	229	28	1	1	NUM
sc-1172	229	29	if	if	SCONJ
sc-1172	229	30	a	a	PRON
sc-1172	229	31	is	be	AUX
sc-1172	229	32	true	true	ADJ
sc-1172	229	33	and	and	CCONJ
sc-1172	229	34	1[a	1[a	NUM
sc-1172	229	35	]	]	X
sc-1172	229	36	=	=	SYM
sc-1172	229	37	0	0	PUNCT
sc-1172	229	38	otherwise	otherwise	ADV
sc-1172	229	39	.	.	PUNCT
sc-1172	230	1	the	the	DET
sc-1172	230	2	terms	term	NOUN
sc-1172	230	3	λ(xi−1(t	λ(xi−1(t	NOUN
sc-1172	230	4	)	)	PUNCT
sc-1172	230	5	−	−	NOUN
sc-1172	230	6	xi(t	xi(t	NOUN
sc-1172	230	7	)	)	PUNCT
sc-1172	230	8	)	)	PUNCT
sc-1172	231	1	and	and	CCONJ
sc-1172	231	2	xi(t	xi(t	NUM
sc-1172	231	3	)	)	PUNCT
sc-1172	232	1	−	−	PROPN
sc-1172	232	2	xi+1(t	xi+1(t	PROPN
sc-1172	232	3	)	)	PUNCT
sc-1172	232	4	,	,	PUNCT
sc-1172	232	5	for	for	ADP
sc-1172	232	6	i	i	PRON
sc-1172	232	7	≥	≥	NOUN
sc-1172	232	8	1	1	NUM
sc-1172	232	9	,	,	PUNCT
sc-1172	232	10	correspond	correspond	VERB
sc-1172	232	11	to	to	ADP
sc-1172	232	12	arrival	arrival	NOUN
sc-1172	232	13	and	and	CCONJ
sc-1172	232	14	service	service	NOUN
sc-1172	232	15	completions	completion	NOUN
sc-1172	232	16	,	,	PUNCT
sc-1172	232	17	respectively	respectively	ADV
sc-1172	232	18	.	.	PUNCT
sc-1172	233	1	queues	queue	NOUN
sc-1172	233	2	of	of	ADP
sc-1172	233	3	length	length	NOUN
sc-1172	233	4	1	1	NUM
sc-1172	233	5	are	be	AUX
sc-1172	233	6	created	create	VERB
sc-1172	233	7	by	by	ADP
sc-1172	233	8	job	job	NOUN
sc-1172	233	9	transfers	transfer	NOUN
sc-1172	233	10	at	at	ADP
sc-1172	233	11	rate	rate	NOUN
sc-1172	233	12	(	(	PUNCT
sc-1172	233	13	rxt+1(t	rxt+1(t	PROPN
sc-1172	233	14	)	)	PUNCT
sc-1172	233	15	+	+	NUM
sc-1172	233	16	rp(xt	rp(xt	NOUN
sc-1172	233	17	(	(	PUNCT
sc-1172	233	18	t)−xt+1(t)))(1−x1(t	t)−xt+1(t)))(1−x1(t	NUM
sc-1172	233	19	)	)	PUNCT
sc-1172	233	20	)	)	PUNCT
sc-1172	233	21	as	as	ADP
sc-1172	233	22	the	the	DET
sc-1172	233	23	fraction	fraction	NOUN
sc-1172	233	24	of	of	ADP
sc-1172	233	25	empty	empty	ADJ
sc-1172	233	26	nodes	node	NOUN
sc-1172	233	27	(	(	PUNCT
sc-1172	233	28	1−x1(t	1−x1(t	NUM
sc-1172	233	29	)	)	PUNCT
sc-1172	233	30	)	)	PUNCT
sc-1172	233	31	probe	probe	NOUN
sc-1172	233	32	at	at	ADP
sc-1172	233	33	rate	rate	NOUN
sc-1172	233	34	r	r	NOUN
sc-1172	233	35	,	,	PUNCT
sc-1172	233	36	and	and	CCONJ
sc-1172	233	37	a	a	DET
sc-1172	233	38	probe	probe	NOUN
sc-1172	233	39	is	be	AUX
sc-1172	233	40	successful	successful	ADJ
sc-1172	233	41	with	with	ADP
sc-1172	233	42	probability	probability	NOUN
sc-1172	233	43	xt+1(t	xt+1(t	ADJ
sc-1172	233	44	)	)	PUNCT
sc-1172	234	1	+	+	NUM
sc-1172	234	2	p(xt	p(xt	NOUN
sc-1172	234	3	(	(	PUNCT
sc-1172	234	4	t)−	t)−	PROPN
sc-1172	234	5	xt+1(t	xt+1(t	PROPN
sc-1172	234	6	)	)	PUNCT
sc-1172	234	7	)	)	PUNCT
sc-1172	234	8	.	.	PUNCT
sc-1172	235	1	similarly	similarly	ADV
sc-1172	235	2	,	,	PUNCT
sc-1172	235	3	migrating	migrating	NOUN
sc-1172	235	4	jobs	job	NOUN
sc-1172	235	5	reduce	reduce	VERB
sc-1172	235	6	the	the	DET
sc-1172	235	7	number	number	NOUN
sc-1172	235	8	of	of	ADP
sc-1172	235	9	queues	queue	NOUN
sc-1172	235	10	with	with	ADP
sc-1172	235	11	exactly	exactly	ADV
sc-1172	235	12	i	i	PRON
sc-1172	235	13	jobs	job	NOUN
sc-1172	235	14	,	,	PUNCT
sc-1172	235	15	for	for	ADP
sc-1172	235	16	i	i	PRON
sc-1172	235	17	>	>	X
sc-1172	235	18	t	t	PROPN
sc-1172	235	19	,	,	PUNCT
sc-1172	235	20	at	at	ADP
sc-1172	235	21	rate	rate	NOUN
sc-1172	235	22	r(1−x1(t))(xi(t)−xi+1(t	r(1−x1(t))(xi(t)−xi+1(t	PROPN
sc-1172	235	23	)	)	PUNCT
sc-1172	235	24	)	)	PUNCT
sc-1172	235	25	and	and	CCONJ
sc-1172	235	26	at	at	ADP
sc-1172	235	27	rate	rate	NOUN
sc-1172	235	28	rp(1−	rp(1−	PROPN
sc-1172	235	29	x1(t))(xt	x1(t))(xt	PROPN
sc-1172	235	30	(	(	PUNCT
sc-1172	235	31	t)−	t)−	PROPN
sc-1172	235	32	xt+1(t	xt+1(t	PROPN
sc-1172	235	33	)	)	PUNCT
sc-1172	235	34	)	)	PUNCT
sc-1172	235	35	for	for	ADP
sc-1172	235	36	i	i	PROPN
sc-1172	235	37	=	=	PROPN
sc-1172	235	38	t	t	PROPN
sc-1172	235	39	.	.	PUNCT
sc-1172	236	1	the	the	DET
sc-1172	236	2	next	next	ADJ
sc-1172	236	3	theorem	theorem	NOUN
sc-1172	236	4	shows	show	VERB
sc-1172	236	5	that	that	SCONJ
sc-1172	236	6	this	this	DET
sc-1172	236	7	set	set	NOUN
sc-1172	236	8	of	of	ADP
sc-1172	236	9	odes	ode	NOUN
sc-1172	236	10	has	have	VERB
sc-1172	236	11	a	a	DET
sc-1172	236	12	unique	unique	ADJ
sc-1172	236	13	fixed	fix	VERB
sc-1172	236	14	point	point	NOUN
sc-1172	236	15	with	with	ADP
sc-1172	236	16	∑	∑	PUNCT
sc-1172	236	17	i≥1	i≥1	ADJ
sc-1172	236	18	π̂i	π̂i	ADP
sc-1172	236	19	<	<	X
sc-1172	236	20	∞.	∞.	PROPN
sc-1172	236	21	in	in	ADP
sc-1172	236	22	appendix	appendix	ADJ
sc-1172	236	23	f	f	PROPN
sc-1172	236	24	of	of	ADP
sc-1172	236	25	[	[	X
sc-1172	236	26	7	7	X
sc-1172	236	27	]	]	PUNCT
sc-1172	236	28	we	we	PRON
sc-1172	236	29	briefly	briefly	ADV
sc-1172	236	30	argue	argue	VERB
sc-1172	236	31	why	why	SCONJ
sc-1172	236	32	this	this	DET
sc-1172	236	33	fixed	fix	VERB
sc-1172	236	34	point	point	NOUN
sc-1172	236	35	can	can	AUX
sc-1172	236	36	be	be	AUX
sc-1172	236	37	used	use	VERB
sc-1172	236	38	to	to	PART
sc-1172	236	39	approximate	approximate	VERB
sc-1172	236	40	the	the	DET
sc-1172	236	41	queue	queue	NOUN
sc-1172	236	42	length	length	NOUN
sc-1172	236	43	distribution	distribution	NOUN
sc-1172	236	44	of	of	ADP
sc-1172	236	45	a	a	DET
sc-1172	236	46	node	node	NOUN
sc-1172	236	47	as	as	SCONJ
sc-1172	236	48	the	the	DET
sc-1172	236	49	number	number	NOUN
sc-1172	236	50	of	of	ADP
sc-1172	236	51	nodes	node	NOUN
sc-1172	236	52	becomes	become	VERB
sc-1172	236	53	large	large	ADJ
sc-1172	236	54	.	.	PUNCT
sc-1172	237	1	the	the	DET
sc-1172	237	2	argument	argument	NOUN
sc-1172	237	3	is	be	AUX
sc-1172	237	4	similar	similar	ADJ
sc-1172	237	5	to	to	ADP
sc-1172	237	6	the	the	DET
sc-1172	237	7	one	one	NOUN
sc-1172	237	8	used	use	VERB
sc-1172	237	9	in	in	ADP
sc-1172	237	10	[	[	X
sc-1172	237	11	5	5	NUM
sc-1172	237	12	]	]	PUNCT
sc-1172	237	13	.	.	PUNCT
sc-1172	238	1	we	we	PRON
sc-1172	238	2	also	also	ADV
sc-1172	238	3	validate	validate	VERB
sc-1172	238	4	the	the	DET
sc-1172	238	5	accuracy	accuracy	NOUN
sc-1172	238	6	of	of	ADP
sc-1172	238	7	this	this	DET
sc-1172	238	8	approximation	approximation	NOUN
sc-1172	238	9	by	by	ADP
sc-1172	238	10	simulation	simulation	NOUN
sc-1172	238	11	in	in	ADP
sc-1172	238	12	section	section	NOUN
sc-1172	238	13	5.1	5.1	NUM
sc-1172	238	14	.	.	PUNCT
sc-1172	239	1	theorem	theorem	VERB
sc-1172	239	2	8	8	NUM
sc-1172	239	3	.	.	PUNCT
sc-1172	240	1	the	the	DET
sc-1172	240	2	set	set	NOUN
sc-1172	240	3	of	of	ADP
sc-1172	240	4	odes	ode	NOUN
sc-1172	240	5	d	d	NOUN
sc-1172	240	6	dt	dt	NOUN
sc-1172	240	7	x(t	x(t	PROPN
sc-1172	240	8	)	)	PUNCT
sc-1172	240	9	=	=	SYM
sc-1172	240	10	h(x(t	h(x(t	PROPN
sc-1172	240	11	)	)	PUNCT
sc-1172	240	12	)	)	PUNCT
sc-1172	240	13	has	have	VERB
sc-1172	240	14	a	a	DET
sc-1172	240	15	unique	unique	ADJ
sc-1172	240	16	fixed	fix	VERB
sc-1172	240	17	point	point	NOUN
sc-1172	240	18	π̂	π̂	VERB
sc-1172	240	19	=	=	SYM
sc-1172	240	20	(	(	PUNCT
sc-1172	240	21	π̂1	π̂1	NOUN
sc-1172	240	22	,	,	PUNCT
sc-1172	240	23	π̂2	π̂2	PROPN
sc-1172	240	24	,	,	PUNCT
sc-1172	240	25	.	.	PUNCT
sc-1172	240	26	.	.	PUNCT
sc-1172	240	27	.	.	PUNCT
sc-1172	240	28	)	)	PUNCT
sc-1172	241	1	with	with	ADP
sc-1172	241	2	∑	∑	ADV
sc-1172	241	3	i≥1	i≥1	ADJ
sc-1172	241	4	π̂i	π̂i	ADP
sc-1172	241	5	<	<	X
sc-1172	241	6	∞.	∞.	PROPN
sc-1172	241	7	the	the	DET
sc-1172	241	8	fixed	fix	VERB
sc-1172	241	9	point	point	NOUN
sc-1172	241	10	can	can	AUX
sc-1172	241	11	be	be	AUX
sc-1172	241	12	expressed	express	VERB
sc-1172	241	13	as	as	ADP
sc-1172	241	14	:	:	PUNCT
sc-1172	241	15	π̂i	π̂i	CCONJ
sc-1172	241	16	=	=	SYM
sc-1172	241	17	λi	λi	X
sc-1172	241	18	(	(	PUNCT
sc-1172	241	19	(	(	PUNCT
sc-1172	241	20	1−	1−	NUM
sc-1172	241	21	λ)r	λ)r	PUNCT
sc-1172	241	22	(	(	PUNCT
sc-1172	241	23	∑t−i	∑t−i	PROPN
sc-1172	241	24	j=0	j=0	VERB
sc-1172	241	25	λ	λ	PROPN
sc-1172	241	26	j	j	PROPN
sc-1172	241	27	+	+	CCONJ
sc-1172	241	28	p(r	p(r	PROPN
sc-1172	241	29	+	+	CCONJ
sc-1172	241	30	1	1	X
sc-1172	241	31	)	)	PUNCT
sc-1172	241	32	(	(	PUNCT
sc-1172	241	33	1−	1−	NUM
sc-1172	241	34	λt−i	λt−i	NOUN
sc-1172	241	35	)	)	PUNCT
sc-1172	241	36	)	)	PUNCT
sc-1172	242	1	+	+	CCONJ
sc-1172	242	2	1	1	X
sc-1172	242	3	)	)	PUNCT
sc-1172	242	4	(	(	PUNCT
sc-1172	242	5	1−	1−	NUM
sc-1172	242	6	λ)r	λ)r	PUNCT
sc-1172	242	7	(	(	PUNCT
sc-1172	242	8	∑t−1	∑t−1	PROPN
sc-1172	242	9	j=0	j=0	PROPN
sc-1172	242	10	λ	λ	PROPN
sc-1172	242	11	j	j	PROPN
sc-1172	242	12	+	+	CCONJ
sc-1172	242	13	p(r	p(r	PROPN
sc-1172	242	14	+	+	CCONJ
sc-1172	242	15	1	1	NUM
sc-1172	242	16	)	)	PUNCT
sc-1172	242	17	(	(	PUNCT
sc-1172	242	18	1−	1−	NUM
sc-1172	242	19	λt−1	λt−1	NOUN
sc-1172	242	20	)	)	PUNCT
sc-1172	242	21	)	)	PUNCT
sc-1172	243	1	+	+	CCONJ
sc-1172	243	2	1	1	NUM
sc-1172	243	3	(	(	PUNCT
sc-1172	243	4	24	24	NUM
sc-1172	243	5	)	)	PUNCT
sc-1172	243	6	for	for	ADP
sc-1172	243	7	1	1	NUM
sc-1172	243	8	≤	≤	NUM
sc-1172	243	9	i	i	PROPN
sc-1172	243	10	≤	≤	NOUN
sc-1172	243	11	t	t	NOUN
sc-1172	243	12	,	,	PUNCT
sc-1172	243	13	and	and	CCONJ
sc-1172	243	14	for	for	ADP
sc-1172	243	15	i	i	PRON
sc-1172	243	16	>	>	X
sc-1172	243	17	t	t	PROPN
sc-1172	243	18	as	as	ADP
sc-1172	243	19	π̂i	π̂i	ADP
sc-1172	243	20	=	=	SYM
sc-1172	243	21	πt	πt	INTJ
sc-1172	243	22	(	(	PUNCT
sc-1172	243	23	λ	λ	PROPN
sc-1172	243	24	1	1	NUM
sc-1172	243	25	+	+	NUM
sc-1172	243	26	r(1−	r(1−	PROPN
sc-1172	243	27	λ	λ	PROPN
sc-1172	243	28	)	)	PUNCT
sc-1172	243	29	)	)	PUNCT
sc-1172	243	30	i−t	i−t	NOUN
sc-1172	243	31	(	(	PUNCT
sc-1172	243	32	25	25	NUM
sc-1172	243	33	)	)	PUNCT
sc-1172	243	34	proof	proof	NOUN
sc-1172	243	35	.	.	PUNCT
sc-1172	244	1	assume	assume	VERB
sc-1172	244	2	π̂	π̂	NUM
sc-1172	244	3	is	be	AUX
sc-1172	244	4	a	a	DET
sc-1172	244	5	fixed	fix	VERB
sc-1172	244	6	point	point	NOUN
sc-1172	244	7	with	with	ADP
sc-1172	244	8	∑	∑	PUNCT
sc-1172	244	9	i≥1	i≥1	ADJ
sc-1172	244	10	π̂i	π̂i	X
sc-1172	244	11	<	<	X
sc-1172	244	12	∞	∞	PROPN
sc-1172	244	13	,	,	PUNCT
sc-1172	244	14	meaninghi(π̂	meaninghi(π̂	NOUN
sc-1172	244	15	)	)	PUNCT
sc-1172	244	16	=	=	SYM
sc-1172	244	17	0	0	NUM
sc-1172	245	1	for	for	SCONJ
sc-1172	245	2	i	i	PRON
sc-1172	245	3	≥	≥	NUM
sc-1172	245	4	1	1	NUM
sc-1172	245	5	,	,	PUNCT
sc-1172	245	6	whereh(x	whereh(x	NOUN
sc-1172	245	7	)	)	PUNCT
sc-1172	245	8	=	=	PUNCT
sc-1172	245	9	(	(	PUNCT
sc-1172	245	10	h1(x	h1(x	NOUN
sc-1172	245	11	)	)	PUNCT
sc-1172	245	12	,	,	PUNCT
sc-1172	245	13	h2(x	h2(x	PROPN
sc-1172	245	14	)	)	PUNCT
sc-1172	245	15	,	,	PUNCT
sc-1172	245	16	.	.	PUNCT
sc-1172	245	17	.	.	PUNCT
sc-1172	245	18	.	.	PUNCT
sc-1172	245	19	)	)	PUNCT
sc-1172	245	20	.	.	PUNCT
sc-1172	246	1	when	when	SCONJ
sc-1172	246	2	∑	∑	ADV
sc-1172	246	3	i≥1	i≥1	ADJ
sc-1172	246	4	π̂i	π̂i	X
sc-1172	246	5	<	<	X
sc-1172	246	6	∞	∞	PROPN
sc-1172	246	7	,	,	PUNCT
sc-1172	246	8	we	we	PRON
sc-1172	246	9	can	can	AUX
sc-1172	246	10	simplify	simplify	VERB
sc-1172	246	11	∑	∑	PUNCT
sc-1172	246	12	i≥1hi(π	i≥1hi(π	X
sc-1172	246	13	)	)	PUNCT
sc-1172	246	14	=	=	SYM
sc-1172	246	15	0	0	PUNCT
sc-1172	246	16	to	to	PART
sc-1172	246	17	λ	λ	PROPN
sc-1172	246	18	−	−	PROPN
sc-1172	246	19	π̂1	π̂1	NOUN
sc-1172	246	20	=	=	NOUN
sc-1172	247	1	0	0	X
sc-1172	247	2	.	.	PUNCT
sc-1172	248	1	hence	hence	ADV
sc-1172	248	2	,	,	PUNCT
sc-1172	248	3	π̂1	π̂1	NOUN
sc-1172	248	4	must	must	AUX
sc-1172	248	5	equal	equal	VERB
sc-1172	248	6	λ	λ	NOUN
sc-1172	248	7	.	.	PUNCT
sc-1172	249	1	the	the	DET
sc-1172	249	2	expressions	expression	NOUN
sc-1172	249	3	for	for	ADP
sc-1172	249	4	π̂i	π̂i	PRON
sc-1172	249	5	then	then	ADV
sc-1172	249	6	readily	readily	ADV
sc-1172	249	7	follow	follow	VERB
sc-1172	249	8	from	from	ADP
sc-1172	249	9	the	the	DET
sc-1172	249	10	conditions	condition	NOUN
sc-1172	249	11	hi(π̂	hi(π̂	NOUN
sc-1172	249	12	)	)	PUNCT
sc-1172	249	13	=	=	SYM
sc-1172	249	14	0	0	NUM
sc-1172	249	15	,	,	PUNCT
sc-1172	249	16	for	for	ADP
sc-1172	249	17	i	i	PRON
sc-1172	249	18	≥	≥	NOUN
sc-1172	249	19	1	1	NUM
sc-1172	249	20	.	.	PUNCT
sc-1172	249	21	theorem	theorem	VERB
sc-1172	249	22	9	9	NUM
sc-1172	249	23	.	.	PUNCT
sc-1172	250	1	a	a	DET
sc-1172	250	2	predefined	predefine	VERB
sc-1172	250	3	overall	overall	ADJ
sc-1172	250	4	migration	migration	NOUN
sc-1172	250	5	rate	rate	NOUN
sc-1172	250	6	m	m	VERB
sc-1172	250	7	can	can	AUX
sc-1172	250	8	be	be	AUX
sc-1172	250	9	matched	match	VERB
sc-1172	250	10	by	by	ADP
sc-1172	250	11	setting	set	VERB
sc-1172	250	12	p	p	X
sc-1172	250	13	=	=	NOUN
sc-1172	250	14	pcp|m	pcp|m	NOUN
sc-1172	250	15	,	,	PUNCT
sc-1172	250	16	with	with	ADP
sc-1172	250	17	pcp|m	pcp|m	NOUN
sc-1172	250	18	=	=	PUNCT
sc-1172	250	19	m	m	NOUN
sc-1172	250	20	−	−	NOUN
sc-1172	250	21	π̄t+1r(1−	π̄t+1r(1−	NOUN
sc-1172	250	22	λ	λ	NOUN
sc-1172	250	23	)	)	PUNCT
sc-1172	250	24	(	(	PUNCT
sc-1172	250	25	π̄t	π̄t	PROPN
sc-1172	250	26	−	−	PROPN
sc-1172	250	27	π̄t+1)r(1−	π̄t+1)r(1−	PROPN
sc-1172	250	28	λ	λ	PROPN
sc-1172	250	29	)	)	PUNCT
sc-1172	250	30	(	(	PUNCT
sc-1172	250	31	26	26	NUM
sc-1172	250	32	)	)	PUNCT
sc-1172	251	1	=	=	SYM
sc-1172	251	2	λ	λ	NOUN
sc-1172	251	3	(	(	PUNCT
sc-1172	251	4	r	r	NOUN
sc-1172	251	5	(	(	PUNCT
sc-1172	251	6	−λ2	−λ2	NOUN
sc-1172	251	7	+	+	CCONJ
sc-1172	251	8	λ+m	λ+m	X
sc-1172	251	9	)	)	PUNCT
sc-1172	251	10	λt	λt	ADP
sc-1172	251	11	−m(r	−m(r	NOUN
sc-1172	251	12	+	+	NOUN
sc-1172	251	13	1	1	NUM
sc-1172	251	14	)	)	PUNCT
sc-1172	251	15	)	)	PUNCT
sc-1172	252	1	(	(	PUNCT
sc-1172	252	2	1−	1−	NUM
sc-1172	252	3	λ)r(r	λ)r(r	NOUN
sc-1172	252	4	+	+	CCONJ
sc-1172	252	5	1	1	NUM
sc-1172	252	6	)	)	PUNCT
sc-1172	252	7	(	(	PUNCT
sc-1172	252	8	λm	λm	ADP
sc-1172	252	9	−	−	PROPN
sc-1172	252	10	(	(	PUNCT
sc-1172	252	11	−λ2	−λ2	NOUN
sc-1172	252	12	+	+	CCONJ
sc-1172	252	13	λ+m)λt	λ+m)λt	PROPN
sc-1172	252	14	)	)	PUNCT
sc-1172	252	15	.	.	PUNCT
sc-1172	253	1	when	when	SCONJ
sc-1172	253	2	matching	match	VERB
sc-1172	253	3	m	m	VERB
sc-1172	253	4	by	by	ADP
sc-1172	253	5	setting	set	VERB
sc-1172	253	6	p	p	X
sc-1172	253	7	=	=	PUNCT
sc-1172	253	8	pcp|m	pcp|m	NOUN
sc-1172	253	9	,	,	PUNCT
sc-1172	253	10	π̂i	π̂i	PRON
sc-1172	253	11	reduces	reduce	VERB
sc-1172	253	12	to	to	ADP
sc-1172	253	13	π̂i	π̂i	NOUN
sc-1172	254	1	=	=	SYM
sc-1172	254	2	λi	λi	ADP
sc-1172	254	3	−	−	PROPN
sc-1172	254	4	m(1−	m(1−	PROPN
sc-1172	254	5	λi−1	λi−1	PROPN
sc-1172	254	6	)	)	PUNCT
sc-1172	254	7	1−	1−	NUM
sc-1172	254	8	λ	λ	NOUN
sc-1172	254	9	,	,	PUNCT
sc-1172	254	10	(	(	PUNCT
sc-1172	254	11	27	27	NUM
sc-1172	254	12	)	)	PUNCT
sc-1172	254	13	for	for	ADP
sc-1172	254	14	i	i	PROPN
sc-1172	254	15	≤	≤	NOUN
sc-1172	254	16	t	t	NOUN
sc-1172	254	17	.	.	PUNCT
sc-1172	255	1	proof	proof	NOUN
sc-1172	255	2	.	.	PUNCT
sc-1172	256	1	the	the	DET
sc-1172	256	2	fraction	fraction	NOUN
sc-1172	256	3	of	of	ADP
sc-1172	256	4	empty	empty	ADJ
sc-1172	256	5	queues	queue	NOUN
sc-1172	256	6	(	(	PUNCT
sc-1172	256	7	1−λ	1−λ	NUM
sc-1172	256	8	)	)	PUNCT
sc-1172	256	9	send	send	VERB
sc-1172	256	10	probes	probe	NOUN
sc-1172	256	11	at	at	ADP
sc-1172	256	12	rate	rate	NOUN
sc-1172	256	13	r.	r.	PROPN
sc-1172	256	14	probes	probe	NOUN
sc-1172	256	15	are	be	AUX
sc-1172	256	16	successful	successful	ADJ
sc-1172	256	17	with	with	ADP
sc-1172	256	18	probability	probability	NOUN
sc-1172	256	19	1	1	NUM
sc-1172	256	20	if	if	SCONJ
sc-1172	256	21	they	they	PRON
sc-1172	256	22	locate	locate	VERB
sc-1172	256	23	a	a	DET
sc-1172	256	24	queue	queue	NOUN
sc-1172	256	25	with	with	ADP
sc-1172	256	26	length	length	NOUN
sc-1172	256	27	at	at	ADP
sc-1172	256	28	least	least	ADJ
sc-1172	256	29	t	t	NOUN
sc-1172	257	1	+	+	CCONJ
sc-1172	257	2	1	1	NUM
sc-1172	257	3	(	(	PUNCT
sc-1172	257	4	π̄t+1	π̄t+1	NOUN
sc-1172	257	5	)	)	PUNCT
sc-1172	257	6	.	.	PUNCT
sc-1172	258	1	probes	probe	NOUN
sc-1172	258	2	are	be	AUX
sc-1172	258	3	successful	successful	ADJ
sc-1172	258	4	with	with	ADP
sc-1172	258	5	probability	probability	NOUN
sc-1172	258	6	p	p	NOUN
sc-1172	258	7	if	if	SCONJ
sc-1172	258	8	they	they	PRON
sc-1172	258	9	locate	locate	VERB
sc-1172	258	10	a	a	DET
sc-1172	258	11	queue	queue	NOUN
sc-1172	258	12	with	with	ADP
sc-1172	258	13	length	length	NOUN
sc-1172	258	14	equal	equal	ADJ
sc-1172	258	15	to	to	ADP
sc-1172	258	16	t	t	PROPN
sc-1172	258	17	(	(	PUNCT
sc-1172	258	18	π̄t	π̄t	PROPN
sc-1172	258	19	−	−	PROPN
sc-1172	258	20	π̄t+1	π̄t+1	NUM
sc-1172	258	21	)	)	PUNCT
sc-1172	258	22	.	.	PUNCT
sc-1172	259	1	in	in	ADP
sc-1172	259	2	other	other	ADJ
sc-1172	259	3	words	word	NOUN
sc-1172	259	4	:	:	PUNCT
sc-1172	259	5	mcp	mcp	PROPN
sc-1172	259	6	=	=	PROPN
sc-1172	259	7	r(1−	r(1−	PROPN
sc-1172	259	8	λ)(π̄t+1	λ)(π̄t+1	PUNCT
sc-1172	260	1	+	+	CCONJ
sc-1172	260	2	p(π̄t	p(π̄t	NOUN
sc-1172	260	3	−	−	PROPN
sc-1172	260	4	π̄t+1	π̄t+1	NUM
sc-1172	260	5	)	)	PUNCT
sc-1172	260	6	,	,	PUNCT
sc-1172	260	7	(	(	PUNCT
sc-1172	260	8	28	28	NUM
sc-1172	260	9	)	)	PUNCT
sc-1172	260	10	from	from	ADP
sc-1172	260	11	which	which	PRON
sc-1172	260	12	(	(	PUNCT
sc-1172	260	13	26	26	NUM
sc-1172	260	14	)	)	PUNCT
sc-1172	260	15	follows	follow	VERB
sc-1172	260	16	by	by	ADP
sc-1172	260	17	algebraic	algebraic	ADJ
sc-1172	260	18	manipulation	manipulation	NOUN
sc-1172	260	19	.	.	PUNCT
sc-1172	261	1	the	the	DET
sc-1172	261	2	reduction	reduction	NOUN
sc-1172	261	3	of	of	ADP
sc-1172	261	4	π̂i	π̂i	X
sc-1172	261	5	to	to	PART
sc-1172	261	6	(	(	PUNCT
sc-1172	261	7	27	27	NUM
sc-1172	261	8	)	)	PUNCT
sc-1172	261	9	is	be	AUX
sc-1172	261	10	found	find	VERB
sc-1172	261	11	by	by	ADP
sc-1172	261	12	substituting	substitute	VERB
sc-1172	261	13	(	(	PUNCT
sc-1172	261	14	26	26	NUM
sc-1172	261	15	)	)	PUNCT
sc-1172	261	16	in	in	ADP
sc-1172	261	17	(	(	PUNCT
sc-1172	261	18	24	24	NUM
sc-1172	261	19	)	)	PUNCT
sc-1172	261	20	.	.	PUNCT
sc-1172	262	1	theorem	theorem	ADJ
sc-1172	262	2	10	10	NUM
sc-1172	262	3	.	.	PUNCT
sc-1172	263	1	the	the	DET
sc-1172	263	2	mean	mean	ADJ
sc-1172	263	3	delay	delay	NOUN
sc-1172	263	4	dcp	dcp	NOUN
sc-1172	263	5	of	of	ADP
sc-1172	263	6	a	a	DET
sc-1172	263	7	job	job	NOUN
sc-1172	263	8	under	under	ADP
sc-1172	263	9	the	the	DET
sc-1172	263	10	conditional	conditional	ADJ
sc-1172	263	11	pull	pull	NOUN
sc-1172	263	12	strategy	strategy	NOUN
sc-1172	263	13	equals	equal	VERB
sc-1172	263	14	dcp	dcp	NOUN
sc-1172	263	15	=	=	SYM
sc-1172	263	16	1	1	NUM
sc-1172	263	17	1−	1−	NUM
sc-1172	263	18	λ	λ	X
sc-1172	263	19	(	(	PUNCT
sc-1172	263	20	1−	1−	NUM
sc-1172	263	21	mcp	mcp	PROPN
sc-1172	263	22	λ	λ	PROPN
sc-1172	263	23	(	(	PUNCT
sc-1172	263	24	α−	α−	ADP
sc-1172	263	25	β	β	NOUN
sc-1172	263	26	)	)	PUNCT
sc-1172	263	27	)	)	PUNCT
sc-1172	263	28	,	,	PUNCT
sc-1172	263	29	(	(	PUNCT
sc-1172	263	30	29	29	NUM
sc-1172	263	31	)	)	PUNCT
sc-1172	263	32	with	with	ADP
sc-1172	263	33	α	α	PROPN
sc-1172	263	34	=	=	SYM
sc-1172	263	35	t	t	PROPN
sc-1172	263	36	+	+	NUM
sc-1172	263	37	λ	λ	X
sc-1172	263	38	(	(	PUNCT
sc-1172	263	39	1−	1−	NUM
sc-1172	263	40	λ)(1	λ)(1	X
sc-1172	264	1	+	+	CCONJ
sc-1172	264	2	r	r	X
sc-1172	264	3	)	)	PUNCT
sc-1172	264	4	and	and	CCONJ
sc-1172	264	5	β	β	X
sc-1172	264	6	=	=	SYM
sc-1172	264	7	r(1−	r(1−	PROPN
sc-1172	264	8	λ)pπ̄t	λ)pπ̄t	PROPN
sc-1172	264	9	mcp	mcp	PROPN
sc-1172	264	10	.	.	PUNCT
sc-1172	265	1	proof	proof	NOUN
sc-1172	265	2	.	.	PUNCT
sc-1172	266	1	the	the	DET
sc-1172	266	2	improvement	improvement	NOUN
sc-1172	266	3	in	in	ADP
sc-1172	266	4	mean	mean	ADJ
sc-1172	266	5	delay	delay	NOUN
sc-1172	266	6	compared	compare	VERB
sc-1172	266	7	to	to	ADP
sc-1172	266	8	a	a	DET
sc-1172	266	9	standard	standard	ADJ
sc-1172	266	10	m	m	NOUN
sc-1172	266	11	/	/	SYM
sc-1172	266	12	m/1	m/1	NOUN
sc-1172	266	13	queue	queue	NOUN
sc-1172	266	14	,	,	PUNCT
sc-1172	266	15	can	can	AUX
sc-1172	266	16	be	be	AUX
sc-1172	266	17	expressed	express	VERB
sc-1172	266	18	as	as	ADP
sc-1172	266	19	a	a	DET
sc-1172	266	20	migration	migration	NOUN
sc-1172	266	21	frequency	frequency	NOUN
sc-1172	266	22	(	(	PUNCT
sc-1172	266	23	mcp	mcp	PROPN
sc-1172	266	24	/	/	SYM
sc-1172	266	25	λ	λ	PROPN
sc-1172	266	26	)	)	PUNCT
sc-1172	266	27	times	time	VERB
sc-1172	266	28	a	a	DET
sc-1172	266	29	migration	migration	NOUN
sc-1172	266	30	gain	gain	NOUN
sc-1172	266	31	(	(	PUNCT
sc-1172	266	32	α	α	NOUN
sc-1172	266	33	−	−	VERB
sc-1172	266	34	β	β	NOUN
sc-1172	266	35	)	)	PUNCT
sc-1172	266	36	.	.	PUNCT
sc-1172	267	1	the	the	DET
sc-1172	267	2	fraction	fraction	NOUN
sc-1172	267	3	of	of	ADP
sc-1172	267	4	migrating	migrating	NOUN
sc-1172	267	5	jobs	job	NOUN
sc-1172	267	6	where	where	SCONJ
sc-1172	267	7	the	the	DET
sc-1172	267	8	job	job	NOUN
sc-1172	267	9	is	be	AUX
sc-1172	267	10	pulled	pull	VERB
sc-1172	267	11	from	from	ADP
sc-1172	267	12	a	a	DET
sc-1172	267	13	queue	queue	NOUN
sc-1172	267	14	with	with	ADP
sc-1172	267	15	length	length	NOUN
sc-1172	267	16	at	at	ADP
sc-1172	267	17	least	least	ADJ
sc-1172	267	18	t	t	NOUN
sc-1172	267	19	+	+	NOUN
sc-1172	267	20	1	1	NUM
sc-1172	267	21	,	,	PUNCT
sc-1172	267	22	(	(	PUNCT
sc-1172	267	23	r(1	r(1	PROPN
sc-1172	267	24	−	−	PROPN
sc-1172	267	25	λ)π̄t+1	λ)π̄t+1	PROPN
sc-1172	267	26	/	/	SYM
sc-1172	267	27	mcp	mcp	PROPN
sc-1172	267	28	)	)	PUNCT
sc-1172	267	29	skip	skip	VERB
sc-1172	267	30	α	α	PRON
sc-1172	267	31	places	place	NOUN
sc-1172	267	32	in	in	ADP
sc-1172	267	33	the	the	DET
sc-1172	267	34	queue	queue	NOUN
sc-1172	267	35	:	:	PUNCT
sc-1172	267	36	the	the	DET
sc-1172	267	37	same	same	ADJ
sc-1172	267	38	remarks	remark	NOUN
sc-1172	267	39	as	as	ADP
sc-1172	267	40	in	in	ADP
sc-1172	267	41	theorem	theorem	ADJ
sc-1172	267	42	2	2	NUM
sc-1172	267	43	apply	apply	VERB
sc-1172	267	44	.	.	PUNCT
sc-1172	268	1	the	the	DET
sc-1172	268	2	other	other	ADJ
sc-1172	268	3	jobs	job	NOUN
sc-1172	268	4	(	(	PUNCT
sc-1172	268	5	(	(	PUNCT
sc-1172	268	6	r(1	r(1	PROPN
sc-1172	268	7	−	−	PROPN
sc-1172	268	8	λ)p(π̄t	λ)p(π̄t	X
sc-1172	268	9	−	−	X
sc-1172	268	10	π̄t+1))/mcp	π̄t+1))/mcp	VERB
sc-1172	268	11	)	)	PUNCT
sc-1172	268	12	are	be	AUX
sc-1172	268	13	pulled	pull	VERB
sc-1172	268	14	from	from	ADP
sc-1172	268	15	a	a	DET
sc-1172	268	16	queue	queue	NOUN
sc-1172	268	17	with	with	ADP
sc-1172	268	18	length	length	NOUN
sc-1172	268	19	equal	equal	ADJ
sc-1172	268	20	to	to	ADP
sc-1172	268	21	t	t	PROPN
sc-1172	268	22	,	,	PUNCT
sc-1172	268	23	thus	thus	ADV
sc-1172	268	24	skipping	skip	VERB
sc-1172	268	25	exactly	exactly	ADV
sc-1172	268	26	t	t	NOUN
sc-1172	268	27	−1	−1	NOUN
sc-1172	268	28	places	place	NOUN
sc-1172	268	29	.	.	PUNCT
sc-1172	269	1	in	in	ADP
sc-1172	269	2	other	other	ADJ
sc-1172	269	3	words	word	NOUN
sc-1172	269	4	,	,	PUNCT
sc-1172	269	5	the	the	DET
sc-1172	269	6	migration	migration	NOUN
sc-1172	269	7	gain	gain	NOUN
sc-1172	269	8	can	can	AUX
sc-1172	269	9	be	be	AUX
sc-1172	269	10	expressed	express	VERB
sc-1172	269	11	as	as	ADP
sc-1172	269	12	:	:	PUNCT
sc-1172	269	13	αr(1−	αr(1−	NUM
sc-1172	269	14	λ)π̄t+1	λ)π̄t+1	X
sc-1172	269	15	+	+	CCONJ
sc-1172	269	16	(	(	PUNCT
sc-1172	269	17	t	t	PROPN
sc-1172	269	18	−	−	PROPN
sc-1172	269	19	1)(r(1−	1)(r(1−	NUM
sc-1172	269	20	λ)p(π̄t	λ)p(π̄t	X
sc-1172	269	21	−	−	PROPN
sc-1172	269	22	π̄t+1	π̄t+1	NUM
sc-1172	269	23	)	)	PUNCT
sc-1172	269	24	)	)	PUNCT
sc-1172	269	25	mcp	mcp	PROPN
sc-1172	269	26	,	,	PUNCT
sc-1172	269	27	which	which	PRON
sc-1172	269	28	can	can	AUX
sc-1172	269	29	be	be	AUX
sc-1172	269	30	rewritten	rewrite	VERB
sc-1172	269	31	as	as	ADP
sc-1172	269	32	α−	α−	ADP
sc-1172	269	33	β	β	X
sc-1172	269	34	.	.	PUNCT
sc-1172	269	35	figure	figure	NOUN
sc-1172	269	36	3	3	NUM
sc-1172	269	37	shows	show	VERB
sc-1172	269	38	the	the	DET
sc-1172	269	39	mean	mean	ADJ
sc-1172	269	40	delay	delay	NOUN
sc-1172	269	41	of	of	ADP
sc-1172	269	42	the	the	DET
sc-1172	269	43	conditional	conditional	ADJ
sc-1172	269	44	pull	pull	NOUN
sc-1172	269	45	strategy	strategy	NOUN
sc-1172	269	46	.	.	PUNCT
sc-1172	270	1	the	the	DET
sc-1172	270	2	dots	dot	NOUN
sc-1172	270	3	represent	represent	VERB
sc-1172	270	4	λt	λt	ADP
sc-1172	270	5	,	,	PUNCT
sc-1172	270	6	i.e.	i.e.	X
sc-1172	270	7	,	,	PUNCT
sc-1172	270	8	the	the	DET
sc-1172	270	9	intersection	intersection	NOUN
sc-1172	270	10	points	point	NOUN
sc-1172	270	11	of	of	ADP
sc-1172	270	12	rpull|r	rpull|r	NOUN
sc-1172	270	13	and	and	CCONJ
sc-1172	270	14	rboth|m	rboth|m	PROPN
sc-1172	270	15	.	.	PUNCT
sc-1172	271	1	the	the	DET
sc-1172	271	2	conditional	conditional	ADJ
sc-1172	271	3	pull	pull	NOUN
sc-1172	271	4	strategy	strategy	NOUN
sc-1172	271	5	achieves	achieve	VERB
sc-1172	271	6	a	a	DET
sc-1172	271	7	lower	low	ADJ
sc-1172	271	8	mean	mean	ADJ
sc-1172	271	9	delay	delay	NOUN
sc-1172	271	10	compared	compare	VERB
sc-1172	271	11	to	to	ADP
sc-1172	271	12	the	the	DET
sc-1172	271	13	rate	rate	NOUN
sc-1172	271	14	-	-	PUNCT
sc-1172	271	15	based	base	VERB
sc-1172	271	16	pull	pull	NOUN
sc-1172	271	17	strategies	strategy	NOUN
sc-1172	271	18	with	with	ADP
sc-1172	271	19	t	t	PROPN
sc-1172	271	20	>	>	X
sc-1172	271	21	1	1	NUM
sc-1172	271	22	,	,	PUNCT
sc-1172	271	23	as	as	SCONJ
sc-1172	271	24	it	it	PRON
sc-1172	271	25	transfers	transfer	VERB
sc-1172	271	26	more	more	ADJ
sc-1172	271	27	jobs	job	NOUN
sc-1172	271	28	.	.	PUNCT
sc-1172	272	1	theorem	theorem	NOUN
sc-1172	272	2	11	11	NUM
sc-1172	272	3	.	.	PUNCT
sc-1172	273	1	when	when	SCONJ
sc-1172	273	2	r	r	NOUN
sc-1172	273	3	=	=	SYM
sc-1172	273	4	+	+	NOUN
sc-1172	273	5	∞	∞	NUM
sc-1172	273	6	and	and	CCONJ
sc-1172	273	7	m	m	PROPN
sc-1172	273	8	is	be	AUX
sc-1172	273	9	finite	finite	ADJ
sc-1172	273	10	,	,	PUNCT
sc-1172	273	11	the	the	DET
sc-1172	273	12	maxpush	maxpush	ADJ
sc-1172	273	13	and	and	CCONJ
sc-1172	273	14	conditional	conditional	ADJ
sc-1172	273	15	pull	pull	NOUN
sc-1172	273	16	strategies	strategy	NOUN
sc-1172	273	17	have	have	VERB
sc-1172	273	18	the	the	DET
sc-1172	273	19	same	same	ADJ
sc-1172	273	20	stationary	stationary	ADJ
sc-1172	273	21	queue	queue	NOUN
sc-1172	273	22	length	length	NOUN
sc-1172	273	23	distribution	distribution	NOUN
sc-1172	273	24	.	.	PUNCT
sc-1172	274	1	proof	proof	NOUN
sc-1172	274	2	.	.	PUNCT
sc-1172	275	1	when	when	SCONJ
sc-1172	275	2	there	there	PRON
sc-1172	275	3	is	be	VERB
sc-1172	275	4	no	no	DET
sc-1172	275	5	probe	probe	NOUN
sc-1172	275	6	limit	limit	NOUN
sc-1172	275	7	r	r	NOUN
sc-1172	275	8	,	,	PUNCT
sc-1172	275	9	the	the	DET
sc-1172	275	10	parameter	parameter	NOUN
sc-1172	275	11	r	r	NOUN
sc-1172	275	12	is	be	AUX
sc-1172	275	13	allowed	allow	VERB
sc-1172	275	14	to	to	PART
sc-1172	275	15	be	be	AUX
sc-1172	275	16	arbitrarily	arbitrarily	ADV
sc-1172	275	17	large	large	ADJ
sc-1172	275	18	for	for	ADP
sc-1172	275	19	the	the	DET
sc-1172	275	20	conditional	conditional	ADJ
sc-1172	275	21	pull	pull	NOUN
sc-1172	275	22	strategy	strategy	NOUN
sc-1172	275	23	.	.	PUNCT
sc-1172	276	1	in	in	ADP
sc-1172	276	2	this	this	DET
sc-1172	276	3	case	case	NOUN
sc-1172	276	4	the	the	DET
sc-1172	276	5	maximum	maximum	ADJ
sc-1172	276	6	queue	queue	NOUN
sc-1172	276	7	length	length	NOUN
sc-1172	276	8	will	will	AUX
sc-1172	276	9	be	be	AUX
sc-1172	276	10	t	t	PROPN
sc-1172	276	11	as	as	ADP
sc-1172	276	12	limr→∞	limr→∞	PROPN
sc-1172	276	13	π̂i	π̂i	ADV
sc-1172	277	1	=	=	NOUN
sc-1172	277	2	0	0	PROPN
sc-1172	277	3	for	for	SCONJ
sc-1172	277	4	i	i	PRON
sc-1172	277	5	>	>	X
sc-1172	277	6	t	t	PROPN
sc-1172	277	7	,	,	PUNCT
sc-1172	277	8	see	see	VERB
sc-1172	277	9	(	(	PUNCT
sc-1172	277	10	25	25	NUM
sc-1172	277	11	)	)	PUNCT
sc-1172	277	12	.	.	PUNCT
sc-1172	278	1	we	we	PRON
sc-1172	278	2	therefore	therefore	ADV
sc-1172	278	3	know	know	VERB
sc-1172	278	4	from	from	ADP
sc-1172	278	5	theorems	theorem	NOUN
sc-1172	278	6	5	5	NUM
sc-1172	278	7	and	and	CCONJ
sc-1172	278	8	9	9	NUM
sc-1172	278	9	that	that	SCONJ
sc-1172	278	10	both	both	CCONJ
sc-1172	278	11	the	the	DET
sc-1172	278	12	max	max	PROPN
sc-1172	278	13	-	-	PUNCT
sc-1172	278	14	push	push	ADJ
sc-1172	278	15	and	and	CCONJ
sc-1172	278	16	conditional	conditional	ADJ
sc-1172	278	17	pull	pull	NOUN
sc-1172	278	18	strategy	strategy	NOUN
sc-1172	278	19	have	have	VERB
sc-1172	278	20	the	the	DET
sc-1172	278	21	same	same	ADJ
sc-1172	278	22	queue	queue	NOUN
sc-1172	278	23	length	length	NOUN
sc-1172	278	24	distribution	distribution	NOUN
sc-1172	278	25	when	when	SCONJ
sc-1172	278	26	only	only	ADV
sc-1172	278	27	matching	match	VERB
sc-1172	278	28	m	m	PRON
sc-1172	278	29	,	,	PUNCT
sc-1172	278	30	if	if	SCONJ
sc-1172	278	31	they	they	PRON
sc-1172	278	32	use	use	VERB
sc-1172	278	33	the	the	DET
sc-1172	278	34	same	same	ADJ
sc-1172	278	35	t	t	NOUN
sc-1172	278	36	.	.	PUNCT
sc-1172	279	1	what	what	PRON
sc-1172	279	2	remains	remain	VERB
sc-1172	279	3	to	to	PART
sc-1172	279	4	be	be	AUX
sc-1172	279	5	shown	show	VERB
sc-1172	279	6	is	be	AUX
sc-1172	279	7	that	that	SCONJ
sc-1172	279	8	both	both	DET
sc-1172	279	9	strategies	strategy	NOUN
sc-1172	279	10	make	make	VERB
sc-1172	279	11	use	use	NOUN
sc-1172	279	12	of	of	ADP
sc-1172	279	13	the	the	DET
sc-1172	279	14	same	same	ADJ
sc-1172	279	15	t	t	NOUN
sc-1172	279	16	.	.	PUNCT
sc-1172	280	1	recall	recall	VERB
sc-1172	280	2	that	that	SCONJ
sc-1172	280	3	λt	λt	INTJ
sc-1172	280	4	was	be	AUX
sc-1172	280	5	defined	define	VERB
sc-1172	280	6	as	as	ADP
sc-1172	280	7	the	the	DET
sc-1172	280	8	solution	solution	NOUN
sc-1172	280	9	in	in	ADP
sc-1172	280	10	(	(	PUNCT
sc-1172	280	11	0	0	NUM
sc-1172	280	12	,	,	PUNCT
sc-1172	280	13	1	1	NUM
sc-1172	280	14	)	)	PUNCT
sc-1172	280	15	of	of	ADP
sc-1172	280	16	rpull|r−	rpull|r−	PROPN
sc-1172	280	17	rboth|m	rboth|m	NOUN
sc-1172	280	18	,	,	PUNCT
sc-1172	280	19	that	that	ADV
sc-1172	280	20	is	is	ADV
sc-1172	280	21	,	,	PUNCT
sc-1172	280	22	r	r	NOUN
sc-1172	280	23	1−	1−	NUM
sc-1172	280	24	λ	λ	X
sc-1172	280	25	=	=	VERB
sc-1172	280	26	m	m	PROPN
sc-1172	280	27	(	(	PUNCT
sc-1172	280	28	λ(1−	λ(1−	PROPN
sc-1172	280	29	λ	λ	PROPN
sc-1172	280	30	)	)	PUNCT
sc-1172	281	1	+	+	PROPN
sc-1172	281	2	m)λt	m)λt	PROPN
sc-1172	281	3	−m	−m	NOUN
sc-1172	281	4	.	.	PUNCT
sc-1172	282	1	the	the	DET
sc-1172	282	2	left	left	ADJ
sc-1172	282	3	hand	hand	NOUN
sc-1172	282	4	side	side	NOUN
sc-1172	282	5	tends	tend	VERB
sc-1172	282	6	to	to	PART
sc-1172	282	7	infinity	infinity	VERB
sc-1172	282	8	as	as	SCONJ
sc-1172	282	9	r	r	NOUN
sc-1172	282	10	tends	tend	VERB
sc-1172	282	11	to	to	PART
sc-1172	282	12	infinity	infinity	VERB
sc-1172	282	13	.	.	PUNCT
sc-1172	283	1	hence	hence	ADV
sc-1172	283	2	,	,	PUNCT
sc-1172	283	3	rboth|m	rboth|m	PROPN
sc-1172	283	4	must	must	AUX
sc-1172	283	5	tend	tend	VERB
sc-1172	283	6	to	to	PART
sc-1172	283	7	infinity	infinity	VERB
sc-1172	283	8	,	,	PUNCT
sc-1172	283	9	meaning	mean	VERB
sc-1172	283	10	λt	λt	SCONJ
sc-1172	283	11	is	be	AUX
sc-1172	283	12	the	the	DET
sc-1172	283	13	solution	solution	NOUN
sc-1172	283	14	to	to	ADP
sc-1172	283	15	m	m	PROPN
sc-1172	283	16	=	=	PUNCT
sc-1172	283	17	(	(	PUNCT
sc-1172	283	18	1	1	NUM
sc-1172	283	19	−	−	NOUN
sc-1172	283	20	λ)λt+1/(1	λ)λt+1/(1	INTJ
sc-1172	283	21	−	−	PROPN
sc-1172	283	22	λt	λt	ADP
sc-1172	283	23	)	)	PUNCT
sc-1172	283	24	.	.	PUNCT
sc-1172	284	1	the	the	DET
sc-1172	284	2	λt	λt	PRON
sc-1172	284	3	’s	’	NOUN
sc-1172	284	4	are	be	AUX
sc-1172	284	5	thus	thus	ADV
sc-1172	284	6	exactly	exactly	ADV
sc-1172	284	7	the	the	DET
sc-1172	284	8	m	m	NOUN
sc-1172	284	9	values	value	NOUN
sc-1172	284	10	where	where	SCONJ
sc-1172	284	11	the	the	DET
sc-1172	284	12	max	max	ADJ
sc-1172	284	13	-	-	PUNCT
sc-1172	284	14	push	push	ADJ
sc-1172	284	15	strategy	strategy	NOUN
sc-1172	284	16	changes	change	VERB
sc-1172	284	17	its	its	PRON
sc-1172	284	18	t	t	NOUN
sc-1172	284	19	value	value	NOUN
sc-1172	284	20	,	,	PUNCT
sc-1172	284	21	see	see	VERB
sc-1172	284	22	(	(	PUNCT
sc-1172	284	23	14	14	NUM
sc-1172	284	24	)	)	PUNCT
sc-1172	284	25	.	.	PUNCT
sc-1172	285	1	hence	hence	ADV
sc-1172	285	2	,	,	PUNCT
sc-1172	285	3	both	both	CCONJ
sc-1172	285	4	the	the	DET
sc-1172	285	5	conditional	conditional	ADJ
sc-1172	285	6	pull	pull	NOUN
sc-1172	285	7	and	and	CCONJ
sc-1172	285	8	max	max	ADJ
sc-1172	285	9	-	-	PUNCT
sc-1172	285	10	push	push	NOUN
sc-1172	285	11	strategy	strategy	NOUN
sc-1172	285	12	choose	choose	VERB
sc-1172	285	13	the	the	DET
sc-1172	285	14	same	same	ADJ
sc-1172	285	15	t	t	NOUN
sc-1172	285	16	.	.	PUNCT
sc-1172	286	1	5.1	5.1	NUM
sc-1172	286	2	model	model	NOUN
sc-1172	286	3	validation	validation	NOUN
sc-1172	286	4	we	we	PRON
sc-1172	286	5	validate	validate	VERB
sc-1172	286	6	the	the	DET
sc-1172	286	7	infinite	infinite	ADJ
sc-1172	286	8	system	system	NOUN
sc-1172	286	9	model	model	NOUN
sc-1172	286	10	for	for	ADP
sc-1172	286	11	the	the	DET
sc-1172	286	12	conditional	conditional	ADJ
sc-1172	286	13	pull	pull	NOUN
sc-1172	286	14	strategy	strategy	NOUN
sc-1172	286	15	by	by	ADP
sc-1172	286	16	comparing	compare	VERB
sc-1172	286	17	the	the	DET
sc-1172	286	18	closed	close	VERB
sc-1172	286	19	form	form	NOUN
sc-1172	286	20	results	result	NOUN
sc-1172	286	21	of	of	ADP
sc-1172	286	22	theorem	theorem	NOUN
sc-1172	286	23	10	10	NUM
sc-1172	286	24	with	with	ADP
sc-1172	286	25	time	time	NOUN
sc-1172	286	26	consuming	consume	VERB
sc-1172	286	27	simulation	simulation	NOUN
sc-1172	286	28	results	result	NOUN
sc-1172	286	29	for	for	ADP
sc-1172	286	30	systems	system	NOUN
sc-1172	286	31	with	with	ADP
sc-1172	286	32	a	a	DET
sc-1172	286	33	finite	finite	ADJ
sc-1172	286	34	number	number	NOUN
sc-1172	286	35	of	of	ADP
sc-1172	286	36	nodes	node	NOUN
sc-1172	286	37	n	n	X
sc-1172	286	38	.	.	PUNCT
sc-1172	287	1	the	the	DET
sc-1172	287	2	infinite	infinite	ADJ
sc-1172	287	3	and	and	CCONJ
sc-1172	287	4	finite	finite	ADJ
sc-1172	287	5	system	system	NOUN
sc-1172	287	6	model	model	NOUN
sc-1172	287	7	only	only	ADV
sc-1172	287	8	differ	differ	VERB
sc-1172	287	9	in	in	ADP
sc-1172	287	10	the	the	DET
sc-1172	287	11	system	system	NOUN
sc-1172	287	12	size	size	NOUN
sc-1172	287	13	.	.	PUNCT
sc-1172	288	1	hence	hence	ADV
sc-1172	288	2	,	,	PUNCT
sc-1172	288	3	the	the	DET
sc-1172	288	4	rate	rate	NOUN
sc-1172	288	5	r	r	NOUN
sc-1172	288	6	and	and	CCONJ
sc-1172	288	7	probability	probability	NOUN
sc-1172	288	8	p	p	NOUN
sc-1172	288	9	in	in	ADP
sc-1172	288	10	the	the	DET
sc-1172	288	11	simulation	simulation	NOUN
sc-1172	288	12	experiments	experiment	NOUN
sc-1172	288	13	is	be	AUX
sc-1172	288	14	independent	independent	ADJ
sc-1172	288	15	of	of	ADP
sc-1172	288	16	n	n	NUM
sc-1172	288	17	and	and	CCONJ
sc-1172	288	18	was	be	AUX
sc-1172	288	19	determined	determine	VERB
sc-1172	288	20	by	by	ADP
sc-1172	288	21	using	use	VERB
sc-1172	288	22	the	the	DET
sc-1172	288	23	expression	expression	NOUN
sc-1172	288	24	for	for	ADP
sc-1172	288	25	p	p	NOUN
sc-1172	288	26	from	from	ADP
sc-1172	288	27	equation	equation	NOUN
sc-1172	288	28	(	(	PUNCT
sc-1172	288	29	26	26	NUM
sc-1172	288	30	)	)	PUNCT
sc-1172	288	31	and	and	CCONJ
sc-1172	289	1	r	r	NOUN
sc-1172	289	2	=	=	PUNCT
sc-1172	289	3	r/(1	r/(1	NUM
sc-1172	289	4	−	−	PROPN
sc-1172	289	5	λ	λ	NOUN
sc-1172	289	6	)	)	PUNCT
sc-1172	289	7	.	.	PUNCT
sc-1172	290	1	each	each	DET
sc-1172	290	2	simulated	simulate	VERB
sc-1172	290	3	point	point	NOUN
sc-1172	290	4	in	in	ADP
sc-1172	290	5	the	the	DET
sc-1172	290	6	figures	figure	NOUN
sc-1172	290	7	represents	represent	VERB
sc-1172	290	8	the	the	DET
sc-1172	290	9	average	average	ADJ
sc-1172	290	10	value	value	NOUN
sc-1172	290	11	of	of	ADP
sc-1172	290	12	25	25	NUM
sc-1172	290	13	simulation	simulation	NOUN
sc-1172	290	14	runs	run	NOUN
sc-1172	290	15	.	.	PUNCT
sc-1172	291	1	each	each	DET
sc-1172	291	2	run	run	NOUN
sc-1172	291	3	has	have	VERB
sc-1172	291	4	a	a	DET
sc-1172	291	5	length	length	NOUN
sc-1172	291	6	of	of	ADP
sc-1172	291	7	106	106	NUM
sc-1172	291	8	time	time	NOUN
sc-1172	291	9	units	unit	NOUN
sc-1172	291	10	(	(	PUNCT
sc-1172	291	11	where	where	SCONJ
sc-1172	291	12	the	the	DET
sc-1172	291	13	service	service	NOUN
sc-1172	291	14	time	time	NOUN
sc-1172	291	15	is	be	AUX
sc-1172	291	16	exponentially	exponentially	ADV
sc-1172	291	17	distributed	distribute	VERB
sc-1172	291	18	with	with	ADP
sc-1172	291	19	a	a	DET
sc-1172	291	20	mean	mean	NOUN
sc-1172	291	21	of	of	ADP
sc-1172	291	22	1	1	NUM
sc-1172	291	23	time	time	NOUN
sc-1172	291	24	unit	unit	NOUN
sc-1172	291	25	)	)	PUNCT
sc-1172	291	26	and	and	CCONJ
sc-1172	291	27	a	a	DET
sc-1172	291	28	warm	warm	ADJ
sc-1172	291	29	-	-	PUNCT
sc-1172	291	30	up	up	NOUN
sc-1172	291	31	period	period	NOUN
sc-1172	291	32	of	of	ADP
sc-1172	291	33	length	length	NOUN
sc-1172	291	34	106/3	106/3	NUM
sc-1172	291	35	time	time	NOUN
sc-1172	291	36	units	unit	NOUN
sc-1172	291	37	.	.	PUNCT
sc-1172	292	1	load	load	NOUN
sc-1172	292	2	(	(	PUNCT
sc-1172	292	3	λ	λ	NOUN
sc-1172	292	4	)	)	PUNCT
sc-1172	292	5	0.5	0.5	NUM
sc-1172	292	6	0.65	0.65	NUM
sc-1172	292	7	0.7	0.7	NUM
sc-1172	292	8	0.75	0.75	NUM
sc-1172	292	9	0.8	0.8	NUM
sc-1172	292	10	25	25	NUM
sc-1172	292	11	1.1e-2	1.1e-2	NUM
sc-1172	292	12	1.7e-2	1.7e-2	NUM
sc-1172	292	13	1.9e-2	1.9e-2	NUM
sc-1172	292	14	2.4e-2	2.4e-2	NUM
sc-1172	292	15	2.9e-2	2.9e-2	NUM
sc-1172	292	16	50	50	NUM
sc-1172	292	17	5.6e-3	5.6e-3	NUM
sc-1172	292	18	8.2e-3	8.2e-3	NUM
sc-1172	292	19	9.5e-3	9.5e-3	NUM
sc-1172	292	20	5.7e-3	5.7e-3	NUM
sc-1172	292	21	7.1e-3	7.1e-3	NUM
sc-1172	292	22	system	system	NOUN
sc-1172	292	23	100	100	NUM
sc-1172	292	24	2.8e-3	2.8e-3	NUM
sc-1172	292	25	3.9e-3	3.9e-3	NUM
sc-1172	292	26	4.6e-3	4.6e-3	NUM
sc-1172	292	27	5.7e-3	5.7e-3	NUM
sc-1172	292	28	7.1e-3	7.1e-3	NUM
sc-1172	292	29	size	size	NOUN
sc-1172	292	30	200	200	NUM
sc-1172	292	31	1.3e-3	1.3e-3	NUM
sc-1172	292	32	2.0e-3	2.0e-3	NUM
sc-1172	292	33	2.3e-3	2.3e-3	NUM
sc-1172	292	34	2.7e-3	2.7e-3	NUM
sc-1172	292	35	3.4e-3	3.4e-3	NUM
sc-1172	292	36	(	(	PUNCT
sc-1172	292	37	n	n	CCONJ
sc-1172	292	38	)	)	PUNCT
sc-1172	292	39	400	400	NUM
sc-1172	292	40	7.0e-4	7.0e-4	NUM
sc-1172	292	41	1.0e-3	1.0e-3	NUM
sc-1172	292	42	1.2e-3	1.2e-3	NUM
sc-1172	292	43	1.3e-3	1.3e-3	NUM
sc-1172	292	44	1.7e-3	1.7e-3	NUM
sc-1172	292	45	800	800	NUM
sc-1172	292	46	3.5e-4	3.5e-4	NUM
sc-1172	292	47	5.0e-4	5.0e-4	NOUN
sc-1172	292	48	5.6e-4	5.6e-4	NUM
sc-1172	292	49	6.6e-4	6.6e-4	NUM
sc-1172	292	50	8.1e-4	8.1e-4	NUM
sc-1172	292	51	1600	1600	NUM
sc-1172	292	52	1.6e-4	1.6e-4	NUM
sc-1172	292	53	2.5e-4	2.5e-4	NUM
sc-1172	292	54	2.6e-4	2.6e-4	NUM
sc-1172	292	55	3.8e-4	3.8e-4	NUM
sc-1172	292	56	4.3e-4	4.3e-4	NUM
sc-1172	292	57	table	table	NOUN
sc-1172	292	58	1	1	NUM
sc-1172	292	59	:	:	PUNCT
sc-1172	292	60	relative	relative	ADJ
sc-1172	292	61	error	error	NOUN
sc-1172	292	62	of	of	ADP
sc-1172	292	63	mean	mean	ADJ
sc-1172	292	64	delay	delay	NOUN
sc-1172	292	65	,	,	PUNCT
sc-1172	292	66	given	give	VERB
sc-1172	292	67	by	by	ADP
sc-1172	292	68	(	(	PUNCT
sc-1172	292	69	29	29	NUM
sc-1172	292	70	)	)	PUNCT
sc-1172	292	71	,	,	PUNCT
sc-1172	292	72	for	for	ADP
sc-1172	292	73	the	the	DET
sc-1172	292	74	conditional	conditional	ADJ
sc-1172	292	75	pull	pull	NOUN
sc-1172	292	76	strategy	strategy	NOUN
sc-1172	292	77	with	with	ADP
sc-1172	292	78	r	r	NOUN
sc-1172	292	79	=	=	SYM
sc-1172	292	80	1	1	NUM
sc-1172	292	81	and	and	CCONJ
sc-1172	292	82	m	m	VERB
sc-1172	292	83	=	=	NOUN
sc-1172	292	84	0.1	0.1	NUM
sc-1172	292	85	when	when	SCONJ
sc-1172	292	86	compared	compare	VERB
sc-1172	292	87	to	to	ADP
sc-1172	292	88	simulation	simulation	NOUN
sc-1172	292	89	results	result	NOUN
sc-1172	292	90	.	.	PUNCT
sc-1172	293	1	table	table	NOUN
sc-1172	293	2	1	1	NUM
sc-1172	293	3	compares	compare	VERB
sc-1172	293	4	the	the	DET
sc-1172	293	5	mean	mean	ADJ
sc-1172	293	6	delay	delay	NOUN
sc-1172	293	7	in	in	ADP
sc-1172	293	8	a	a	DET
sc-1172	293	9	finite	finite	ADJ
sc-1172	293	10	system	system	NOUN
sc-1172	293	11	with	with	ADP
sc-1172	293	12	n	n	ADP
sc-1172	293	13	nodes	node	NOUN
sc-1172	293	14	with	with	ADP
sc-1172	293	15	the	the	DET
sc-1172	293	16	mean	mean	ADJ
sc-1172	293	17	delay	delay	NOUN
sc-1172	293	18	in	in	ADP
sc-1172	293	19	the	the	DET
sc-1172	293	20	infinite	infinite	ADJ
sc-1172	293	21	system	system	NOUN
sc-1172	293	22	model	model	NOUN
sc-1172	293	23	under	under	ADP
sc-1172	293	24	the	the	DET
sc-1172	293	25	conditional	conditional	ADJ
sc-1172	293	26	pull	pull	NOUN
sc-1172	293	27	strategy	strategy	NOUN
sc-1172	293	28	with	with	ADP
sc-1172	293	29	r	r	NOUN
sc-1172	293	30	=	=	SYM
sc-1172	293	31	1	1	NUM
sc-1172	293	32	and	and	CCONJ
sc-1172	293	33	m	m	VERB
sc-1172	293	34	=	=	NOUN
sc-1172	293	35	0.1	0.1	NUM
sc-1172	293	36	for	for	ADP
sc-1172	293	37	n	n	NOUN
sc-1172	293	38	=	=	SYM
sc-1172	293	39	25	25	NUM
sc-1172	293	40	,	,	PUNCT
sc-1172	293	41	50	50	NUM
sc-1172	293	42	,	,	PUNCT
sc-1172	293	43	.	.	PUNCT
sc-1172	293	44	.	.	PUNCT
sc-1172	294	1	.	.	PUNCT
sc-1172	295	1	,	,	PUNCT
sc-1172	296	1	1600	1600	NUM
sc-1172	296	2	and	and	CCONJ
sc-1172	296	3	λ	λ	X
sc-1172	296	4	=	=	NOUN
sc-1172	296	5	0.5	0.5	NUM
sc-1172	296	6	,	,	PUNCT
sc-1172	296	7	0.65	0.65	NUM
sc-1172	296	8	,	,	PUNCT
sc-1172	296	9	0.7	0.7	NUM
sc-1172	296	10	,	,	PUNCT
sc-1172	296	11	0.75	0.75	NUM
sc-1172	296	12	and	and	CCONJ
sc-1172	296	13	0.8	0.8	NUM
sc-1172	296	14	.	.	PUNCT
sc-1172	297	1	for	for	ADP
sc-1172	297	2	each	each	DET
sc-1172	297	3	combination	combination	NOUN
sc-1172	297	4	of	of	ADP
sc-1172	297	5	n	n	PRON
sc-1172	297	6	and	and	CCONJ
sc-1172	297	7	λ	λ	X
sc-1172	297	8	we	we	PRON
sc-1172	297	9	also	also	ADV
sc-1172	297	10	show	show	VERB
sc-1172	297	11	the	the	DET
sc-1172	297	12	relative	relative	ADJ
sc-1172	297	13	error	error	NOUN
sc-1172	297	14	.	.	PUNCT
sc-1172	298	1	the	the	DET
sc-1172	298	2	error	error	NOUN
sc-1172	298	3	clearly	clearly	ADV
sc-1172	298	4	decreases	decrease	VERB
sc-1172	298	5	as	as	SCONJ
sc-1172	298	6	n	n	PRON
sc-1172	298	7	grows	grow	NOUN
sc-1172	298	8	,	,	PUNCT
sc-1172	298	9	and	and	CCONJ
sc-1172	298	10	is	be	AUX
sc-1172	298	11	worse	bad	ADJ
sc-1172	298	12	for	for	ADP
sc-1172	298	13	larger	large	ADJ
sc-1172	298	14	λ	λ	NOUN
sc-1172	298	15	values	value	NOUN
sc-1172	298	16	.	.	PUNCT
sc-1172	299	1	the	the	DET
sc-1172	299	2	observed	observe	VERB
sc-1172	299	3	overall	overall	ADJ
sc-1172	299	4	migration	migration	NOUN
sc-1172	299	5	rate	rate	NOUN
sc-1172	299	6	in	in	ADP
sc-1172	299	7	the	the	DET
sc-1172	299	8	simulation	simulation	NOUN
sc-1172	299	9	is	be	AUX
sc-1172	299	10	strictly	strictly	ADV
sc-1172	299	11	lower	low	ADJ
sc-1172	299	12	than	than	ADP
sc-1172	299	13	the	the	DET
sc-1172	299	14	predefined	predefined	ADJ
sc-1172	299	15	m	m	PRON
sc-1172	299	16	,	,	PUNCT
sc-1172	299	17	meaning	mean	VERB
sc-1172	299	18	less	less	ADJ
sc-1172	299	19	jobs	job	NOUN
sc-1172	299	20	will	will	AUX
sc-1172	299	21	be	be	AUX
sc-1172	299	22	transferred	transfer	VERB
sc-1172	299	23	than	than	ADP
sc-1172	299	24	anticipated	anticipate	VERB
sc-1172	299	25	.	.	PUNCT
sc-1172	300	1	hence	hence	ADV
sc-1172	300	2	,	,	PUNCT
sc-1172	300	3	the	the	DET
sc-1172	300	4	mean	mean	ADJ
sc-1172	300	5	delay	delay	NOUN
sc-1172	300	6	in	in	ADP
sc-1172	300	7	the	the	DET
sc-1172	300	8	simulation	simulation	NOUN
sc-1172	300	9	experiments	experiment	NOUN
sc-1172	300	10	is	be	AUX
sc-1172	300	11	pessimistic	pessimistic	ADJ
sc-1172	300	12	.	.	PUNCT
sc-1172	301	1	this	this	DET
sc-1172	301	2	error	error	NOUN
sc-1172	301	3	is	be	AUX
sc-1172	301	4	in	in	ADP
sc-1172	301	5	part	part	NOUN
sc-1172	301	6	due	due	ADP
sc-1172	301	7	to	to	ADP
sc-1172	301	8	the	the	DET
sc-1172	301	9	choice	choice	NOUN
sc-1172	301	10	of	of	ADP
sc-1172	301	11	p	p	NOUN
sc-1172	301	12	,	,	PUNCT
sc-1172	301	13	which	which	PRON
sc-1172	301	14	was	be	AUX
sc-1172	301	15	determined	determine	VERB
sc-1172	301	16	using	use	VERB
sc-1172	301	17	(	(	PUNCT
sc-1172	301	18	26	26	NUM
sc-1172	301	19	)	)	PUNCT
sc-1172	301	20	.	.	PUNCT
sc-1172	302	1	this	this	DET
sc-1172	302	2	choice	choice	NOUN
sc-1172	302	3	relies	rely	VERB
sc-1172	302	4	on	on	ADP
sc-1172	302	5	the	the	DET
sc-1172	302	6	infinite	infinite	ADJ
sc-1172	302	7	system	system	NOUN
sc-1172	302	8	model	model	NOUN
sc-1172	302	9	whereas	whereas	SCONJ
sc-1172	302	10	we	we	PRON
sc-1172	302	11	are	be	AUX
sc-1172	302	12	now	now	ADV
sc-1172	302	13	studying	study	VERB
sc-1172	302	14	a	a	DET
sc-1172	302	15	finite	finite	ADJ
sc-1172	302	16	system	system	NOUN
sc-1172	302	17	.	.	PUNCT
sc-1172	303	1	the	the	DET
sc-1172	303	2	relative	relative	ADJ
sc-1172	303	3	error	error	NOUN
sc-1172	303	4	in	in	ADP
sc-1172	303	5	the	the	DET
sc-1172	303	6	observed	observe	VERB
sc-1172	303	7	overall	overall	ADJ
sc-1172	303	8	migration	migration	NOUN
sc-1172	303	9	rate	rate	NOUN
sc-1172	303	10	is	be	AUX
sc-1172	303	11	nearly	nearly	ADV
sc-1172	303	12	load	load	NOUN
sc-1172	303	13	-	-	PUNCT
sc-1172	303	14	insensitive	insensitive	ADJ
sc-1172	303	15	and	and	CCONJ
sc-1172	303	16	decreases	decrease	VERB
sc-1172	303	17	linearly	linearly	ADV
sc-1172	303	18	as	as	SCONJ
sc-1172	303	19	the	the	DET
sc-1172	303	20	system	system	NOUN
sc-1172	303	21	doubles	double	VERB
sc-1172	303	22	in	in	ADP
sc-1172	303	23	size	size	NOUN
sc-1172	303	24	,	,	PUNCT
sc-1172	303	25	as	as	SCONJ
sc-1172	303	26	shown	show	VERB
sc-1172	303	27	in	in	ADP
sc-1172	303	28	table	table	NOUN
sc-1172	303	29	2	2	NUM
sc-1172	303	30	.	.	PUNCT
sc-1172	304	1	n	n	X
sc-1172	304	2	25	25	NUM
sc-1172	304	3	50	50	NUM
sc-1172	304	4	100	100	NUM
sc-1172	304	5	200	200	NUM
sc-1172	304	6	400	400	NUM
sc-1172	304	7	800	800	NUM
sc-1172	304	8	1600	1600	NUM
sc-1172	304	9	rel	rel	NOUN
sc-1172	304	10	.	.	PUNCT
sc-1172	305	1	err	err	NOUN
sc-1172	305	2	.	.	PROPN
sc-1172	306	1	4	4	NUM
sc-1172	306	2	%	%	NOUN
sc-1172	306	3	2	2	NUM
sc-1172	306	4	%	%	NOUN
sc-1172	306	5	1	1	NUM
sc-1172	306	6	%	%	NOUN
sc-1172	306	7	.5	.5	NUM
sc-1172	306	8	%	%	NOUN
sc-1172	306	9	0.25	0.25	NUM
sc-1172	306	10	%	%	NOUN
sc-1172	306	11	.13	.13	NUM
sc-1172	306	12	%	%	NOUN
sc-1172	306	13	.064	.064	NUM
sc-1172	306	14	%	%	NOUN
sc-1172	306	15	table	table	NOUN
sc-1172	306	16	2	2	NUM
sc-1172	306	17	:	:	PUNCT
sc-1172	306	18	relative	relative	ADJ
sc-1172	306	19	error	error	NOUN
sc-1172	306	20	of	of	ADP
sc-1172	306	21	the	the	DET
sc-1172	306	22	observed	observed	ADJ
sc-1172	306	23	overall	overall	ADJ
sc-1172	306	24	migration	migration	NOUN
sc-1172	306	25	rate	rate	NOUN
sc-1172	306	26	for	for	ADP
sc-1172	306	27	finite	finite	ADJ
sc-1172	306	28	system	system	NOUN
sc-1172	306	29	size	size	NOUN
sc-1172	306	30	when	when	SCONJ
sc-1172	306	31	compared	compare	VERB
sc-1172	306	32	to	to	ADP
sc-1172	306	33	the	the	DET
sc-1172	306	34	targeted	target	VERB
sc-1172	306	35	migration	migration	NOUN
sc-1172	306	36	rate	rate	NOUN
sc-1172	306	37	m	m	NOUN
sc-1172	306	38	.	.	PUNCT
sc-1172	307	1	6	6	X
sc-1172	307	2	.	.	X
sc-1172	307	3	push	push	VERB
sc-1172	307	4	versus	versus	ADP
sc-1172	307	5	pull	pull	NOUN
sc-1172	307	6	strategies	strategy	NOUN
sc-1172	307	7	we	we	PRON
sc-1172	307	8	compare	compare	VERB
sc-1172	307	9	the	the	DET
sc-1172	307	10	performance	performance	NOUN
sc-1172	307	11	of	of	ADP
sc-1172	307	12	the	the	DET
sc-1172	307	13	max	max	NOUN
sc-1172	307	14	-	-	PUNCT
sc-1172	307	15	push	push	NOUN
sc-1172	307	16	and	and	CCONJ
sc-1172	307	17	the	the	DET
sc-1172	307	18	conditional	conditional	ADJ
sc-1172	307	19	pull	pull	NOUN
sc-1172	307	20	strategies	strategy	NOUN
sc-1172	307	21	with	with	ADP
sc-1172	307	22	a	a	DET
sc-1172	307	23	predefined	predefine	VERB
sc-1172	307	24	overall	overall	ADJ
sc-1172	307	25	probe	probe	NOUN
sc-1172	307	26	limit	limit	NOUN
sc-1172	307	27	r	r	NOUN
sc-1172	307	28	and	and	CCONJ
sc-1172	307	29	migration	migration	NOUN
sc-1172	307	30	limit	limit	NOUN
sc-1172	307	31	m	m	VERB
sc-1172	307	32	(	(	PUNCT
sc-1172	307	33	using	use	VERB
sc-1172	307	34	theorems	theorem	NOUN
sc-1172	307	35	7	7	NUM
sc-1172	307	36	and	and	CCONJ
sc-1172	307	37	10	10	NUM
sc-1172	307	38	)	)	PUNCT
sc-1172	307	39	.	.	PUNCT
sc-1172	308	1	the	the	DET
sc-1172	308	2	parameter	parameter	PROPN
sc-1172	308	3	t	t	PROPN
sc-1172	308	4	is	be	AUX
sc-1172	308	5	determined	determine	VERB
sc-1172	308	6	by	by	ADP
sc-1172	308	7	the	the	DET
sc-1172	308	8	load	load	NOUN
sc-1172	308	9	λ	λ	PROPN
sc-1172	308	10	,	,	PUNCT
sc-1172	308	11	as	as	SCONJ
sc-1172	308	12	each	each	DET
sc-1172	308	13	strategy	strategy	NOUN
sc-1172	308	14	is	be	AUX
sc-1172	308	15	only	only	ADV
sc-1172	308	16	defined	define	VERB
sc-1172	308	17	for	for	ADP
sc-1172	308	18	a	a	DET
sc-1172	308	19	specific	specific	ADJ
sc-1172	308	20	t	t	NOUN
sc-1172	308	21	given	give	VERB
sc-1172	308	22	any	any	DET
sc-1172	308	23	λ	λ	NOUN
sc-1172	308	24	(	(	PUNCT
sc-1172	308	25	see	see	VERB
sc-1172	308	26	(	(	PUNCT
sc-1172	308	27	9	9	NUM
sc-1172	308	28	)	)	PUNCT
sc-1172	308	29	,	,	PUNCT
sc-1172	308	30	(	(	PUNCT
sc-1172	308	31	14	14	NUM
sc-1172	308	32	)	)	PUNCT
sc-1172	308	33	and	and	CCONJ
sc-1172	308	34	(	(	PUNCT
sc-1172	308	35	20	20	NUM
sc-1172	308	36	)	)	PUNCT
sc-1172	308	37	)	)	PUNCT
sc-1172	308	38	.	.	PUNCT
sc-1172	309	1	for	for	ADP
sc-1172	309	2	the	the	DET
sc-1172	309	3	max	max	PROPN
sc-1172	309	4	-	-	PUNCT
sc-1172	309	5	push	push	NOUN
sc-1172	309	6	,	,	PUNCT
sc-1172	309	7	the	the	DET
sc-1172	309	8	value	value	NOUN
sc-1172	309	9	for	for	ADP
sc-1172	309	10	t	t	PROPN
sc-1172	309	11	and	and	CCONJ
sc-1172	309	12	r	r	NOUN
sc-1172	309	13	is	be	AUX
sc-1172	309	14	chosen	choose	VERB
sc-1172	309	15	to	to	PART
sc-1172	309	16	match	match	VERB
sc-1172	309	17	the	the	DET
sc-1172	309	18	strictest	strict	ADJ
sc-1172	309	19	constraint	constraint	NOUN
sc-1172	309	20	of	of	ADP
sc-1172	309	21	either	either	DET
sc-1172	309	22	r	r	NOUN
sc-1172	309	23	or	or	CCONJ
sc-1172	309	24	m	m	AUX
sc-1172	309	25	depending	depend	VERB
sc-1172	309	26	on	on	ADP
sc-1172	309	27	the	the	DET
sc-1172	309	28	load	load	NOUN
sc-1172	309	29	(	(	PUNCT
sc-1172	309	30	see	see	VERB
sc-1172	309	31	theorem	theorem	NOUN
sc-1172	309	32	6	6	NUM
sc-1172	309	33	)	)	PUNCT
sc-1172	309	34	.	.	PUNCT
sc-1172	310	1	for	for	SCONJ
sc-1172	310	2	the	the	DET
sc-1172	310	3	conditional	conditional	ADJ
sc-1172	310	4	pull	pull	VERB
sc-1172	310	5	all	all	DET
sc-1172	310	6	idle	idle	ADJ
sc-1172	310	7	servers	server	NOUN
sc-1172	310	8	probe	probe	VERB
sc-1172	310	9	with	with	ADP
sc-1172	310	10	rate	rate	NOUN
sc-1172	310	11	r	r	NOUN
sc-1172	310	12	=	=	PUNCT
sc-1172	310	13	r/(1−	r/(1−	PROPN
sc-1172	310	14	λ	λ	PROPN
sc-1172	310	15	)	)	PUNCT
sc-1172	310	16	,	,	PUNCT
sc-1172	310	17	and	and	CCONJ
sc-1172	310	18	p	p	NOUN
sc-1172	310	19	is	be	AUX
sc-1172	310	20	chosen	choose	VERB
sc-1172	310	21	to	to	PART
sc-1172	310	22	match	match	VERB
sc-1172	310	23	m	m	PROPN
sc-1172	310	24	(	(	PUNCT
sc-1172	310	25	see	see	VERB
sc-1172	310	26	theorem	theorem	NOUN
sc-1172	310	27	9	9	NUM
sc-1172	310	28	)	)	PUNCT
sc-1172	310	29	.	.	PUNCT
sc-1172	311	1	the	the	DET
sc-1172	311	2	mean	mean	ADJ
sc-1172	311	3	delay	delay	NOUN
sc-1172	311	4	of	of	ADP
sc-1172	311	5	the	the	DET
sc-1172	311	6	max	max	NOUN
sc-1172	311	7	-	-	PUNCT
sc-1172	311	8	push	push	ADJ
sc-1172	311	9	and	and	CCONJ
sc-1172	311	10	conditional	conditional	ADJ
sc-1172	311	11	pull	pull	NOUN
sc-1172	311	12	strategy	strategy	NOUN
sc-1172	311	13	with	with	ADP
sc-1172	311	14	m	m	PROPN
sc-1172	311	15	=	=	SYM
sc-1172	311	16	0.1	0.1	NUM
sc-1172	311	17	and	and	CCONJ
sc-1172	311	18	r	r	NOUN
sc-1172	311	19	=	=	SYM
sc-1172	311	20	0.4	0.4	NUM
sc-1172	311	21	is	be	AUX
sc-1172	311	22	shown	show	VERB
sc-1172	311	23	in	in	ADP
sc-1172	311	24	figure	figure	NOUN
sc-1172	311	25	4	4	NUM
sc-1172	311	26	.	.	PUNCT
sc-1172	312	1	the	the	DET
sc-1172	312	2	max	max	PROPN
sc-1172	312	3	-	-	PUNCT
sc-1172	312	4	push	push	ADJ
sc-1172	312	5	strategy	strategy	NOUN
sc-1172	312	6	is	be	AUX
sc-1172	312	7	limited	limit	VERB
sc-1172	312	8	by	by	ADP
sc-1172	312	9	the	the	DET
sc-1172	312	10	probe	probe	NOUN
sc-1172	312	11	limit	limit	NOUN
sc-1172	312	12	when	when	SCONJ
sc-1172	312	13	λ	λ	X
sc-1172	312	14	>	>	X
sc-1172	312	15	1−m	1−m	NUM
sc-1172	312	16	/	/	SYM
sc-1172	312	17	r	r	NOUN
sc-1172	312	18	and	and	CCONJ
sc-1172	312	19	by	by	ADP
sc-1172	312	20	the	the	DET
sc-1172	312	21	migration	migration	NOUN
sc-1172	312	22	limit	limit	NOUN
sc-1172	312	23	when	when	SCONJ
sc-1172	312	24	√	√	ADV
sc-1172	312	25	m	m	VERB
sc-1172	312	26	<	<	X
sc-1172	312	27	λ	λ	X
sc-1172	312	28	<	<	X
sc-1172	312	29	1	1	NUM
sc-1172	312	30	−m	−m	NOUN
sc-1172	312	31	/	/	SYM
sc-1172	312	32	r.	r.	PROPN
sc-1172	312	33	the	the	DET
sc-1172	312	34	mean	mean	ADJ
sc-1172	312	35	delay	delay	NOUN
sc-1172	312	36	of	of	ADP
sc-1172	312	37	the	the	DET
sc-1172	312	38	push	push	NOUN
sc-1172	312	39	strategy	strategy	NOUN
sc-1172	312	40	is	be	AUX
sc-1172	312	41	one	one	NUM
sc-1172	312	42	in	in	ADP
sc-1172	312	43	case	case	NOUN
sc-1172	313	1	λ	λ	X
sc-1172	313	2	<	<	X
sc-1172	313	3	√	√	X
sc-1172	313	4	m	m	PRON
sc-1172	313	5	,	,	PUNCT
sc-1172	313	6	as	as	ADV
sc-1172	313	7	all	all	DET
sc-1172	313	8	newly	newly	ADV
sc-1172	313	9	arriving	arrive	VERB
sc-1172	313	10	jobs	job	NOUN
sc-1172	313	11	at	at	ADP
sc-1172	313	12	a	a	DET
sc-1172	313	13	busy	busy	ADJ
sc-1172	313	14	server	server	NOUN
sc-1172	313	15	can	can	AUX
sc-1172	313	16	be	be	AUX
sc-1172	313	17	migrated	migrate	VERB
sc-1172	313	18	instantaneously	instantaneously	ADV
sc-1172	313	19	to	to	ADP
sc-1172	313	20	an	an	DET
sc-1172	313	21	empty	empty	ADJ
sc-1172	313	22	server	server	NOUN
sc-1172	313	23	without	without	ADP
sc-1172	313	24	violating	violate	VERB
sc-1172	313	25	the	the	DET
sc-1172	313	26	r	r	NOUN
sc-1172	313	27	and	and	CCONJ
sc-1172	313	28	m	m	NOUN
sc-1172	313	29	constraints	constraint	NOUN
sc-1172	313	30	.	.	PUNCT
sc-1172	314	1	for	for	ADP
sc-1172	314	2	the	the	DET
sc-1172	314	3	conditional	conditional	ADJ
sc-1172	314	4	pull	pull	VERB
sc-1172	314	5	strategy	strategy	NOUN
sc-1172	314	6	the	the	DET
sc-1172	314	7	limiting	limit	VERB
sc-1172	314	8	factor	factor	NOUN
sc-1172	314	9	is	be	AUX
sc-1172	314	10	r	r	NOUN
sc-1172	314	11	when	when	SCONJ
sc-1172	314	12	λ	λ	X
sc-1172	314	13	<	<	X
sc-1172	314	14	√	√	PROPN
sc-1172	314	15	m	m	VERB
sc-1172	314	16	+	+	NOUN
sc-1172	314	17	m	m	NOUN
sc-1172	314	18	/	/	SYM
sc-1172	314	19	r	r	NOUN
sc-1172	314	20	,	,	PUNCT
sc-1172	314	21	and	and	CCONJ
sc-1172	314	22	m	m	PROPN
sc-1172	314	23	for	for	ADP
sc-1172	314	24	λ	λ	X
sc-1172	314	25	>	>	PUNCT
sc-1172	314	26	√	√	PROPN
sc-1172	314	27	m	m	VERB
sc-1172	314	28	+	+	NOUN
sc-1172	314	29	m	m	X
sc-1172	314	30	/	/	SYM
sc-1172	314	31	r.	r.	VERB
sc-1172	314	32	the	the	DET
sc-1172	314	33	intervals	interval	NOUN
sc-1172	314	34	where	where	SCONJ
sc-1172	314	35	both	both	DET
sc-1172	314	36	strategies	strategy	NOUN
sc-1172	314	37	are	be	AUX
sc-1172	314	38	constrained	constrain	VERB
sc-1172	314	39	by	by	ADP
sc-1172	314	40	m	m	NOUN
sc-1172	314	41	do	do	AUX
sc-1172	314	42	not	not	PART
sc-1172	314	43	always	always	ADV
sc-1172	314	44	overlap	overlap	VERB
sc-1172	314	45	,	,	PUNCT
sc-1172	314	46	i.e.	i.e.	X
sc-1172	314	47	√	√	ADP
sc-1172	315	1	m	m	VERB
sc-1172	315	2	+	+	NOUN
sc-1172	315	3	m	m	NOUN
sc-1172	315	4	/	/	SYM
sc-1172	315	5	r	r	NOUN
sc-1172	315	6	can	can	AUX
sc-1172	315	7	be	be	AUX
sc-1172	315	8	larger	large	ADJ
sc-1172	315	9	than	than	ADP
sc-1172	315	10	1	1	NUM
sc-1172	315	11	−m	−m	NOUN
sc-1172	315	12	/	/	SYM
sc-1172	315	13	r	r	NOUN
sc-1172	315	14	,	,	PUNCT
sc-1172	315	15	as	as	SCONJ
sc-1172	315	16	is	be	AUX
sc-1172	315	17	the	the	DET
sc-1172	315	18	case	case	NOUN
sc-1172	315	19	for	for	ADP
sc-1172	315	20	r	r	NOUN
sc-1172	315	21	=	=	SYM
sc-1172	315	22	1	1	NUM
sc-1172	315	23	and	and	CCONJ
sc-1172	315	24	m	m	VERB
sc-1172	315	25	=	=	ADJ
sc-1172	315	26	0.3	0.3	NUM
sc-1172	315	27	.	.	PUNCT
sc-1172	316	1	when√	when√	NOUN
sc-1172	316	2	m	m	VERB
sc-1172	316	3	+	+	NOUN
sc-1172	316	4	m	m	NOUN
sc-1172	316	5	/	/	SYM
sc-1172	316	6	r	r	NOUN
sc-1172	316	7	<	<	X
sc-1172	316	8	1	1	NUM
sc-1172	316	9	−m	−m	NOUN
sc-1172	316	10	/	/	SYM
sc-1172	316	11	r	r	NOUN
sc-1172	316	12	both	both	DET
sc-1172	316	13	strategies	strategy	NOUN
sc-1172	316	14	transfer	transfer	VERB
sc-1172	316	15	the	the	DET
sc-1172	316	16	same	same	ADJ
sc-1172	316	17	number	number	NOUN
sc-1172	316	18	of	of	ADP
sc-1172	316	19	jobs	job	NOUN
sc-1172	316	20	when	when	SCONJ
sc-1172	316	21	√	√	NOUN
sc-1172	316	22	m	m	VERB
sc-1172	316	23	+	+	NOUN
sc-1172	316	24	m	m	X
sc-1172	316	25	/	/	SYM
sc-1172	316	26	r	r	NOUN
sc-1172	316	27	<	<	X
sc-1172	316	28	λ	λ	X
sc-1172	316	29	<	<	X
sc-1172	316	30	1	1	NUM
sc-1172	316	31	−m	−m	NOUN
sc-1172	316	32	/	/	SYM
sc-1172	316	33	r.	r.	PROPN
sc-1172	316	34	however	however	ADV
sc-1172	316	35	,	,	PUNCT
sc-1172	316	36	the	the	DET
sc-1172	316	37	max	max	NOUN
sc-1172	316	38	-	-	PUNCT
sc-1172	316	39	push	push	NOUN
sc-1172	316	40	will	will	AUX
sc-1172	316	41	outperform	outperform	VERB
sc-1172	316	42	the	the	DET
sc-1172	316	43	conditional	conditional	ADJ
sc-1172	316	44	pull	pull	NOUN
sc-1172	316	45	as	as	SCONJ
sc-1172	316	46	the	the	DET
sc-1172	316	47	average	average	ADJ
sc-1172	316	48	migration	migration	NOUN
sc-1172	316	49	gain	gain	NOUN
sc-1172	316	50	is	be	AUX
sc-1172	316	51	larger	large	ADJ
sc-1172	316	52	.	.	PUNCT
sc-1172	317	1	this	this	PRON
sc-1172	317	2	is	be	AUX
sc-1172	317	3	not	not	PART
sc-1172	317	4	unexpected	unexpected	ADJ
sc-1172	317	5	as	as	SCONJ
sc-1172	317	6	the	the	DET
sc-1172	317	7	max	max	PROPN
sc-1172	317	8	-	-	PUNCT
sc-1172	317	9	push	push	ADJ
sc-1172	317	10	strategy	strategy	NOUN
sc-1172	317	11	avoids	avoid	VERB
sc-1172	317	12	that	that	SCONJ
sc-1172	317	13	queues	queue	NOUN
sc-1172	317	14	become	become	VERB
sc-1172	317	15	larger	large	ADJ
sc-1172	317	16	than	than	ADP
sc-1172	317	17	t	t	PROPN
sc-1172	317	18	,	,	PUNCT
sc-1172	317	19	whereas	whereas	SCONJ
sc-1172	317	20	queues	queue	NOUN
sc-1172	317	21	with	with	ADP
sc-1172	317	22	a	a	DET
sc-1172	317	23	length	length	NOUN
sc-1172	317	24	exceeding	exceed	VERB
sc-1172	317	25	t	t	NOUN
sc-1172	317	26	exist	exist	VERB
sc-1172	317	27	for	for	ADP
sc-1172	317	28	the	the	DET
sc-1172	317	29	conditional	conditional	ADJ
sc-1172	317	30	pull	pull	NOUN
sc-1172	317	31	as	as	SCONJ
sc-1172	317	32	it	it	PRON
sc-1172	317	33	only	only	ADV
sc-1172	317	34	sends	send	VERB
sc-1172	317	35	random	random	ADJ
sc-1172	317	36	probes	probe	NOUN
sc-1172	317	37	at	at	ADP
sc-1172	317	38	a	a	DET
sc-1172	317	39	finite	finite	ADJ
sc-1172	317	40	rate	rate	NOUN
sc-1172	317	41	.	.	PUNCT
sc-1172	318	1	0.3	0.3	NUM
sc-1172	318	2	0.4	0.4	NUM
sc-1172	318	3	0.5	0.5	NUM
sc-1172	318	4	0.6	0.6	NUM
sc-1172	318	5	0.7	0.7	NUM
sc-1172	318	6	0.8	0.8	NUM
sc-1172	318	7	0.9	0.9	NUM
sc-1172	318	8	1	1	NUM
sc-1172	318	9	2	2	NUM
sc-1172	318	10	3	3	NUM
sc-1172	318	11	4	4	NUM
sc-1172	318	12	5	5	NUM
sc-1172	318	13	6	6	NUM
sc-1172	318	14	7	7	NUM
sc-1172	318	15	1−m	1−m	NUM
sc-1172	318	16	/	/	SYM
sc-1172	318	17	r	r	NOUN
sc-1172	318	18	√	√	NUM
sc-1172	318	19	m	m	VERB
sc-1172	318	20	√	√	PROPN
sc-1172	318	21	m	m	VERB
sc-1172	318	22	+	+	NOUN
sc-1172	318	23	m	m	NOUN
sc-1172	318	24	/	/	SYM
sc-1172	318	25	r	r	NOUN
sc-1172	318	26	push	push	NOUN
sc-1172	318	27	pull	pull	VERB
sc-1172	318	28	r=0.4	r=0.4	NOUN
sc-1172	318	29	m=0.1	m=0.1	PROPN
sc-1172	318	30	load	load	NOUN
sc-1172	318	31	(	(	PUNCT
sc-1172	318	32	λ	λ	NOUN
sc-1172	318	33	)	)	PUNCT
sc-1172	318	34	m	m	VERB
sc-1172	318	35	e	e	NOUN
sc-1172	318	36	a	a	PRON
sc-1172	318	37	n	n	NOUN
sc-1172	318	38	d	d	X
sc-1172	318	39	e	e	X
sc-1172	318	40	la	la	PROPN
sc-1172	318	41	y	y	PROPN
sc-1172	318	42	(	(	PUNCT
sc-1172	318	43	d	d	NOUN
sc-1172	318	44	)	)	PUNCT
sc-1172	318	45	figure	figure	NOUN
sc-1172	318	46	4	4	NUM
sc-1172	318	47	:	:	PUNCT
sc-1172	318	48	mean	mean	ADJ
sc-1172	318	49	delay	delay	NOUN
sc-1172	318	50	of	of	ADP
sc-1172	318	51	the	the	DET
sc-1172	318	52	max	max	NOUN
sc-1172	318	53	-	-	PUNCT
sc-1172	318	54	push	push	ADJ
sc-1172	318	55	and	and	CCONJ
sc-1172	318	56	conditional	conditional	ADJ
sc-1172	318	57	pull	pull	ADJ
sc-1172	318	58	strategies	strategy	NOUN
sc-1172	318	59	,	,	PUNCT
sc-1172	318	60	with	with	ADP
sc-1172	318	61	r	r	NOUN
sc-1172	318	62	=	=	SYM
sc-1172	318	63	0.4	0.4	NUM
sc-1172	318	64	and	and	CCONJ
sc-1172	318	65	m	m	PROPN
sc-1172	318	66	=	=	ADJ
sc-1172	318	67	0.1	0.1	NUM
sc-1172	318	68	.	.	PUNCT
sc-1172	319	1	0.3	0.3	NUM
sc-1172	319	2	0.4	0.4	NUM
sc-1172	319	3	0.5	0.5	NUM
sc-1172	319	4	0.6	0.6	NUM
sc-1172	319	5	0.7	0.7	NUM
sc-1172	319	6	0.8	0.8	NUM
sc-1172	319	7	0.9	0.9	NUM
sc-1172	319	8	1	1	NUM
sc-1172	319	9	2	2	NUM
sc-1172	319	10	3	3	NUM
sc-1172	319	11	4	4	NUM
sc-1172	319	12	5	5	NUM
sc-1172	319	13	6	6	NUM
sc-1172	319	14	7	7	NUM
sc-1172	319	15	1−m	1−m	NUM
sc-1172	319	16	/	/	SYM
sc-1172	319	17	r	r	NOUN
sc-1172	319	18	√	√	NUM
sc-1172	319	19	m	m	VERB
sc-1172	319	20	√	√	PROPN
sc-1172	319	21	m	m	VERB
sc-1172	319	22	+	+	NOUN
sc-1172	319	23	m	m	NOUN
sc-1172	319	24	/	/	SYM
sc-1172	319	25	r	r	NOUN
sc-1172	319	26	push	push	NOUN
sc-1172	319	27	pull	pull	VERB
sc-1172	319	28	r=1	r=1	NOUN
sc-1172	319	29	m=0.1	m=0.1	NOUN
sc-1172	319	30	load	load	NOUN
sc-1172	319	31	(	(	PUNCT
sc-1172	319	32	λ	λ	NOUN
sc-1172	319	33	)	)	PUNCT
sc-1172	319	34	m	m	VERB
sc-1172	319	35	e	e	NOUN
sc-1172	319	36	a	a	PRON
sc-1172	319	37	n	n	NOUN
sc-1172	319	38	d	d	X
sc-1172	319	39	e	e	X
sc-1172	319	40	la	la	PROPN
sc-1172	319	41	y	y	PROPN
sc-1172	319	42	(	(	PUNCT
sc-1172	319	43	d	d	NOUN
sc-1172	319	44	)	)	PUNCT
sc-1172	319	45	figure	figure	NOUN
sc-1172	319	46	5	5	NUM
sc-1172	319	47	:	:	PUNCT
sc-1172	319	48	mean	mean	ADJ
sc-1172	319	49	delay	delay	NOUN
sc-1172	319	50	of	of	ADP
sc-1172	319	51	the	the	DET
sc-1172	319	52	max	max	NOUN
sc-1172	319	53	-	-	PUNCT
sc-1172	319	54	push	push	ADJ
sc-1172	319	55	and	and	CCONJ
sc-1172	319	56	conditional	conditional	ADJ
sc-1172	319	57	pull	pull	ADJ
sc-1172	319	58	strategies	strategy	NOUN
sc-1172	319	59	,	,	PUNCT
sc-1172	319	60	with	with	ADP
sc-1172	319	61	r	r	NOUN
sc-1172	319	62	=	=	SYM
sc-1172	319	63	1	1	NUM
sc-1172	319	64	and	and	CCONJ
sc-1172	319	65	m	m	PROPN
sc-1172	319	66	=	=	ADJ
sc-1172	319	67	0.1	0.1	NUM
sc-1172	319	68	.	.	PUNCT
sc-1172	320	1	as	as	SCONJ
sc-1172	320	2	expected	expect	VERB
sc-1172	320	3	from	from	ADP
sc-1172	320	4	theorem	theorem	ADJ
sc-1172	320	5	11	11	NUM
sc-1172	320	6	,	,	PUNCT
sc-1172	320	7	the	the	DET
sc-1172	320	8	difference	difference	NOUN
sc-1172	320	9	in	in	ADP
sc-1172	320	10	performance	performance	NOUN
sc-1172	320	11	between	between	ADP
sc-1172	320	12	max	max	PROPN
sc-1172	320	13	-	-	PUNCT
sc-1172	320	14	push	push	ADJ
sc-1172	320	15	and	and	CCONJ
sc-1172	320	16	conditional	conditional	ADJ
sc-1172	320	17	-	-	PUNCT
sc-1172	320	18	pull	pull	NOUN
sc-1172	320	19	becomes	become	VERB
sc-1172	320	20	smaller	small	ADJ
sc-1172	320	21	when	when	SCONJ
sc-1172	320	22	increasing	increase	VERB
sc-1172	320	23	r	r	NOUN
sc-1172	320	24	,	,	PUNCT
sc-1172	320	25	as	as	SCONJ
sc-1172	320	26	shown	show	VERB
sc-1172	320	27	in	in	ADP
sc-1172	320	28	figure	figure	NOUN
sc-1172	320	29	5	5	NUM
sc-1172	320	30	.	.	PUNCT
sc-1172	321	1	as	as	SCONJ
sc-1172	321	2	the	the	DET
sc-1172	321	3	empty	empty	ADJ
sc-1172	321	4	queues	queue	NOUN
sc-1172	321	5	send	send	VERB
sc-1172	321	6	probes	probe	NOUN
sc-1172	321	7	with	with	ADP
sc-1172	321	8	rate	rate	NOUN
sc-1172	321	9	r	r	NOUN
sc-1172	321	10	=	=	PUNCT
sc-1172	321	11	r/(1	r/(1	NUM
sc-1172	321	12	−	−	PROPN
sc-1172	321	13	λ	λ	NOUN
sc-1172	321	14	)	)	PUNCT
sc-1172	321	15	,	,	PUNCT
sc-1172	321	16	they	they	PRON
sc-1172	321	17	are	be	AUX
sc-1172	321	18	allowed	allow	VERB
sc-1172	321	19	to	to	PART
sc-1172	321	20	send	send	VERB
sc-1172	321	21	more	more	ADJ
sc-1172	321	22	probes	probe	NOUN
sc-1172	321	23	as	as	ADP
sc-1172	321	24	r	r	NOUN
sc-1172	321	25	increases	increase	NOUN
sc-1172	321	26	.	.	PUNCT
sc-1172	322	1	this	this	PRON
sc-1172	322	2	increases	increase	VERB
sc-1172	322	3	the	the	DET
sc-1172	322	4	odds	odd	NOUN
sc-1172	322	5	that	that	SCONJ
sc-1172	322	6	a	a	DET
sc-1172	322	7	long	long	ADJ
sc-1172	322	8	queue	queue	NOUN
sc-1172	322	9	is	be	AUX
sc-1172	322	10	probed	probe	VERB
sc-1172	322	11	,	,	PUNCT
sc-1172	322	12	thus	thus	ADV
sc-1172	322	13	lowering	lower	VERB
sc-1172	322	14	the	the	DET
sc-1172	322	15	mean	mean	ADJ
sc-1172	322	16	delay	delay	NOUN
sc-1172	322	17	.	.	PUNCT
sc-1172	323	1	this	this	PRON
sc-1172	323	2	can	can	AUX
sc-1172	323	3	also	also	ADV
sc-1172	323	4	be	be	AUX
sc-1172	323	5	observed	observe	VERB
sc-1172	323	6	by	by	ADP
sc-1172	323	7	looking	look	VERB
sc-1172	323	8	at	at	ADP
sc-1172	323	9	the	the	DET
sc-1172	323	10	values	value	NOUN
sc-1172	323	11	for	for	ADP
sc-1172	323	12	t	t	PROPN
sc-1172	323	13	.	.	PUNCT
sc-1172	324	1	by	by	ADP
sc-1172	324	2	increasing	increase	VERB
sc-1172	324	3	r	r	NOUN
sc-1172	324	4	,	,	PUNCT
sc-1172	324	5	a	a	DET
sc-1172	324	6	larger	large	ADJ
sc-1172	324	7	value	value	NOUN
sc-1172	324	8	for	for	ADP
sc-1172	324	9	t	t	PROPN
sc-1172	324	10	can	can	AUX
sc-1172	324	11	be	be	AUX
sc-1172	324	12	used	use	VERB
sc-1172	324	13	for	for	ADP
sc-1172	324	14	the	the	DET
sc-1172	324	15	same	same	ADJ
sc-1172	324	16	load	load	NOUN
sc-1172	324	17	.	.	PUNCT
sc-1172	325	1	this	this	PRON
sc-1172	325	2	requires	require	VERB
sc-1172	325	3	that	that	SCONJ
sc-1172	325	4	jobs	job	NOUN
sc-1172	325	5	are	be	AUX
sc-1172	325	6	pulled	pull	VERB
sc-1172	325	7	from	from	ADP
sc-1172	325	8	longer	long	ADJ
sc-1172	325	9	queues	queue	NOUN
sc-1172	325	10	,	,	PUNCT
sc-1172	325	11	increasing	increase	VERB
sc-1172	325	12	the	the	DET
sc-1172	325	13	migration	migration	NOUN
sc-1172	325	14	gain	gain	NOUN
sc-1172	325	15	per	per	ADP
sc-1172	325	16	transfer	transfer	NOUN
sc-1172	325	17	.	.	PUNCT
sc-1172	326	1	in	in	ADP
sc-1172	326	2	conclusion	conclusion	NOUN
sc-1172	326	3	,	,	PUNCT
sc-1172	326	4	whenever	whenever	SCONJ
sc-1172	326	5	the	the	DET
sc-1172	326	6	maximum	maximum	ADJ
sc-1172	326	7	allowed	allow	VERB
sc-1172	326	8	probe	probe	NOUN
sc-1172	326	9	rate	rate	NOUN
sc-1172	326	10	r	r	NOUN
sc-1172	326	11	clearly	clearly	ADV
sc-1172	326	12	exceeds	exceed	VERB
sc-1172	326	13	the	the	DET
sc-1172	326	14	maximum	maximum	ADJ
sc-1172	326	15	allowed	allow	VERB
sc-1172	326	16	migration	migration	NOUN
sc-1172	326	17	rate	rate	NOUN
sc-1172	326	18	m	m	PROPN
sc-1172	326	19	(	(	PUNCT
sc-1172	326	20	which	which	PRON
sc-1172	326	21	is	be	AUX
sc-1172	326	22	the	the	DET
sc-1172	326	23	case	case	NOUN
sc-1172	326	24	that	that	PRON
sc-1172	326	25	is	be	AUX
sc-1172	326	26	mainly	mainly	ADV
sc-1172	326	27	of	of	ADP
sc-1172	326	28	practical	practical	ADJ
sc-1172	326	29	interest	interest	NOUN
sc-1172	326	30	)	)	PUNCT
sc-1172	326	31	,	,	PUNCT
sc-1172	326	32	the	the	DET
sc-1172	326	33	pull	pull	NOUN
sc-1172	326	34	strategy	strategy	NOUN
sc-1172	326	35	is	be	AUX
sc-1172	326	36	either	either	CCONJ
sc-1172	326	37	clearly	clearly	ADV
sc-1172	326	38	superior	superior	ADJ
sc-1172	326	39	(	(	PUNCT
sc-1172	326	40	for	for	ADP
sc-1172	326	41	large	large	ADJ
sc-1172	326	42	λ	λ	NOUN
sc-1172	326	43	)	)	PUNCT
sc-1172	326	44	or	or	CCONJ
sc-1172	326	45	has	have	VERB
sc-1172	326	46	a	a	DET
sc-1172	326	47	similar	similar	ADJ
sc-1172	326	48	performance	performance	NOUN
sc-1172	326	49	to	to	ADP
sc-1172	326	50	the	the	DET
sc-1172	326	51	max	max	ADJ
sc-1172	326	52	-	-	PUNCT
sc-1172	326	53	push	push	ADJ
sc-1172	326	54	strategy	strategy	NOUN
sc-1172	326	55	(	(	PUNCT
sc-1172	326	56	for	for	ADP
sc-1172	326	57	medium	medium	ADJ
sc-1172	326	58	to	to	ADP
sc-1172	326	59	low	low	ADJ
sc-1172	326	60	λ	λ	NOUN
sc-1172	326	61	)	)	PUNCT
sc-1172	326	62	.	.	PUNCT
sc-1172	327	1	7	7	X
sc-1172	327	2	.	.	NUM
sc-1172	327	3	references	reference	NOUN
sc-1172	327	4	[	[	X
sc-1172	327	5	1	1	NUM
sc-1172	327	6	]	]	X
sc-1172	327	7	d.	d.	PROPN
sc-1172	327	8	eager	eager	PROPN
sc-1172	327	9	,	,	PUNCT
sc-1172	327	10	e.	e.	PROPN
sc-1172	327	11	lazowska	lazowska	PROPN
sc-1172	327	12	,	,	PUNCT
sc-1172	327	13	and	and	CCONJ
sc-1172	327	14	j.	j.	PROPN
sc-1172	327	15	zahorjan	zahorjan	PROPN
sc-1172	327	16	.	.	PROPN
sc-1172	327	17	adaptive	adaptive	ADJ
sc-1172	327	18	load	load	NOUN
sc-1172	327	19	sharing	share	VERB
sc-1172	327	20	in	in	ADP
sc-1172	327	21	homogeneous	homogeneous	ADJ
sc-1172	327	22	distributed	distribute	VERB
sc-1172	327	23	systems	system	NOUN
sc-1172	327	24	.	.	PUNCT
sc-1172	328	1	software	software	NOUN
sc-1172	328	2	engineering	engineering	NOUN
sc-1172	328	3	,	,	PUNCT
sc-1172	328	4	ieee	ieee	NOUN
sc-1172	328	5	transactions	transaction	NOUN
sc-1172	328	6	on	on	ADP
sc-1172	328	7	,	,	PUNCT
sc-1172	328	8	se-12(5):662	se-12(5):662	PROPN
sc-1172	328	9	–	–	PUNCT
sc-1172	328	10	675	675	NUM
sc-1172	328	11	,	,	PUNCT
sc-1172	328	12	may	may	PROPN
sc-1172	328	13	1986	1986	NUM
sc-1172	328	14	.	.	PUNCT
sc-1172	329	1	[	[	X
sc-1172	329	2	2	2	X
sc-1172	329	3	]	]	X
sc-1172	329	4	d.	d.	PROPN
sc-1172	329	5	eager	eager	PROPN
sc-1172	329	6	,	,	PUNCT
sc-1172	329	7	e.	e.	PROPN
sc-1172	329	8	lazowska	lazowska	PROPN
sc-1172	329	9	,	,	PUNCT
sc-1172	329	10	and	and	CCONJ
sc-1172	329	11	j.	j.	PROPN
sc-1172	329	12	zahorjan	zahorjan	PROPN
sc-1172	329	13	.	.	PUNCT
sc-1172	330	1	a	a	DET
sc-1172	330	2	comparison	comparison	NOUN
sc-1172	330	3	of	of	ADP
sc-1172	330	4	receiver	receiver	NOUN
sc-1172	330	5	-	-	PUNCT
sc-1172	330	6	initiated	initiate	VERB
sc-1172	330	7	and	and	CCONJ
sc-1172	330	8	sender	sender	NOUN
sc-1172	330	9	-	-	PUNCT
sc-1172	330	10	initiated	initiate	VERB
sc-1172	330	11	adaptive	adaptive	ADJ
sc-1172	330	12	load	load	NOUN
sc-1172	330	13	sharing	sharing	NOUN
sc-1172	330	14	.	.	PUNCT
sc-1172	331	1	perform	perform	VERB
sc-1172	331	2	.	.	PUNCT
sc-1172	332	1	eval	eval	PROPN
sc-1172	332	2	.	.	PUNCT
sc-1172	332	3	,	,	PUNCT
sc-1172	332	4	6(1):53–68	6(1):53–68	NUM
sc-1172	332	5	,	,	PUNCT
sc-1172	332	6	1986	1986	NUM
sc-1172	332	7	.	.	PUNCT
sc-1172	333	1	[	[	X
sc-1172	333	2	3	3	X
sc-1172	333	3	]	]	X
sc-1172	333	4	n.	n.	PROPN
sc-1172	333	5	gast	gast	PROPN
sc-1172	333	6	and	and	CCONJ
sc-1172	333	7	b.	b.	PROPN
sc-1172	333	8	gaujal	gaujal	PROPN
sc-1172	333	9	.	.	PUNCT
sc-1172	334	1	a	a	DET
sc-1172	334	2	mean	mean	ADJ
sc-1172	334	3	field	field	NOUN
sc-1172	334	4	model	model	NOUN
sc-1172	334	5	of	of	ADP
sc-1172	334	6	work	work	NOUN
sc-1172	334	7	stealing	steal	VERB
sc-1172	334	8	in	in	ADP
sc-1172	334	9	large	large	ADJ
sc-1172	334	10	-	-	PUNCT
sc-1172	334	11	scale	scale	NOUN
sc-1172	334	12	systems	system	NOUN
sc-1172	334	13	.	.	PUNCT
sc-1172	335	1	sigmetrics	sigmetric	NOUN
sc-1172	335	2	perform	perform	VERB
sc-1172	335	3	.	.	PUNCT
sc-1172	336	1	eval	eval	PROPN
sc-1172	336	2	.	.	PUNCT
sc-1172	337	1	rev	rev	PROPN
sc-1172	337	2	.	.	PROPN
sc-1172	337	3	,	,	PUNCT
sc-1172	337	4	38(1):13–24	38(1):13–24	NOUN
sc-1172	337	5	,	,	PUNCT
sc-1172	337	6	2010	2010	NUM
sc-1172	337	7	.	.	PUNCT
sc-1172	338	1	[	[	X
sc-1172	338	2	4	4	X
sc-1172	338	3	]	]	X
sc-1172	338	4	y.	y.	PROPN
sc-1172	338	5	lu	lu	PROPN
sc-1172	338	6	,	,	PUNCT
sc-1172	338	7	q.	q.	PROPN
sc-1172	338	8	xie	xie	PROPN
sc-1172	338	9	,	,	PUNCT
sc-1172	338	10	g.	g.	PROPN
sc-1172	338	11	kliot	kliot	PROPN
sc-1172	338	12	,	,	PUNCT
sc-1172	338	13	a.	a.	PROPN
sc-1172	338	14	geller	geller	PROPN
sc-1172	338	15	,	,	PUNCT
sc-1172	338	16	j.	j.	PROPN
sc-1172	338	17	r.	r.	PROPN
sc-1172	338	18	larus	larus	PROPN
sc-1172	338	19	,	,	PUNCT
sc-1172	338	20	and	and	CCONJ
sc-1172	338	21	a.	a.	PROPN
sc-1172	338	22	greenberg	greenberg	PROPN
sc-1172	338	23	.	.	PUNCT
sc-1172	338	24	join	join	VERB
sc-1172	338	25	-	-	PUNCT
sc-1172	338	26	idle	idle	ADJ
sc-1172	338	27	-	-	PUNCT
sc-1172	338	28	queue	queue	NOUN
sc-1172	338	29	:	:	PUNCT
sc-1172	338	30	a	a	DET
sc-1172	338	31	novel	novel	ADJ
sc-1172	338	32	load	load	NOUN
sc-1172	338	33	balancing	balance	VERB
sc-1172	338	34	algorithm	algorithm	NOUN
sc-1172	338	35	for	for	ADP
sc-1172	338	36	dynamically	dynamically	ADV
sc-1172	338	37	scalable	scalable	ADJ
sc-1172	338	38	web	web	NOUN
sc-1172	338	39	services	service	NOUN
sc-1172	338	40	.	.	PUNCT
sc-1172	339	1	perform	perform	VERB
sc-1172	339	2	.	.	PUNCT
sc-1172	340	1	eval	eval	PROPN
sc-1172	340	2	.	.	PUNCT
sc-1172	340	3	,	,	PUNCT
sc-1172	341	1	68:1056–1071	68:1056–1071	NOUN
sc-1172	341	2	,	,	PUNCT
sc-1172	341	3	2011	2011	NUM
sc-1172	341	4	.	.	PUNCT
sc-1172	342	1	[	[	X
sc-1172	342	2	5	5	X
sc-1172	342	3	]	]	PUNCT
sc-1172	342	4	w.	w.	PROPN
sc-1172	342	5	minnebo	minnebo	PROPN
sc-1172	342	6	and	and	CCONJ
sc-1172	342	7	b.	b.	PROPN
sc-1172	342	8	van	van	PROPN
sc-1172	342	9	houdt	houdt	PROPN
sc-1172	342	10	.	.	PUNCT
sc-1172	343	1	a	a	DET
sc-1172	343	2	fair	fair	ADJ
sc-1172	343	3	comparison	comparison	NOUN
sc-1172	343	4	of	of	ADP
sc-1172	343	5	pull	pull	VERB
sc-1172	343	6	and	and	CCONJ
sc-1172	343	7	push	push	VERB
sc-1172	343	8	strategies	strategy	NOUN
sc-1172	343	9	in	in	ADP
sc-1172	343	10	large	large	ADJ
sc-1172	343	11	distributed	distribute	VERB
sc-1172	343	12	networks	network	NOUN
sc-1172	343	13	.	.	PUNCT
sc-1172	344	1	ieee	ieee	PROPN
sc-1172	344	2	/	/	SYM
sc-1172	344	3	acm	acm	PROPN
sc-1172	344	4	transactions	transaction	NOUN
sc-1172	344	5	on	on	ADP
sc-1172	344	6	networking	networking	NOUN
sc-1172	344	7	,	,	PUNCT
sc-1172	344	8	2013	2013	NUM
sc-1172	344	9	.	.	PUNCT
sc-1172	345	1	[	[	X
sc-1172	345	2	6	6	NUM
sc-1172	345	3	]	]	PUNCT
sc-1172	345	4	w.	w.	PROPN
sc-1172	345	5	minnebo	minnebo	PROPN
sc-1172	345	6	and	and	CCONJ
sc-1172	345	7	b.	b.	PROPN
sc-1172	345	8	van	van	PROPN
sc-1172	345	9	houdt	houdt	PROPN
sc-1172	345	10	.	.	PUNCT
sc-1172	346	1	improved	improve	VERB
sc-1172	346	2	rate	rate	NOUN
sc-1172	346	3	-	-	PUNCT
sc-1172	346	4	based	base	VERB
sc-1172	346	5	pull	pull	NOUN
sc-1172	346	6	and	and	CCONJ
sc-1172	346	7	push	push	VERB
sc-1172	346	8	strategies	strategy	NOUN
sc-1172	346	9	in	in	ADP
sc-1172	346	10	large	large	ADJ
sc-1172	346	11	distributed	distribute	VERB
sc-1172	346	12	networks	network	NOUN
sc-1172	346	13	.	.	PUNCT
sc-1172	347	1	in	in	ADP
sc-1172	347	2	proc	proc	PROPN
sc-1172	347	3	.	.	PUNCT
sc-1172	348	1	of	of	ADP
sc-1172	348	2	the	the	DET
sc-1172	348	3	ieee	ieee	NOUN
sc-1172	348	4	21	21	NUM
sc-1172	348	5	-	-	PUNCT
sc-1172	348	6	th	th	X
sc-1172	348	7	international	international	ADJ
sc-1172	348	8	symposium	symposium	NOUN
sc-1172	348	9	on	on	ADP
sc-1172	348	10	modeling	modeling	NOUN
sc-1172	348	11	,	,	PUNCT
sc-1172	348	12	analysis	analysis	NOUN
sc-1172	348	13	and	and	CCONJ
sc-1172	348	14	simulation	simulation	NOUN
sc-1172	348	15	of	of	ADP
sc-1172	348	16	computer	computer	NOUN
sc-1172	348	17	and	and	CCONJ
sc-1172	348	18	telecommunication	telecommunication	NOUN
sc-1172	348	19	systems	system	NOUN
sc-1172	348	20	,	,	PUNCT
sc-1172	348	21	san	san	PROPN
sc-1172	348	22	francisco	francisco	PROPN
sc-1172	348	23	(	(	PUNCT
sc-1172	348	24	usa	usa	PROPN
sc-1172	348	25	)	)	PUNCT
sc-1172	348	26	,	,	PUNCT
sc-1172	348	27	2013	2013	NUM
sc-1172	349	1	.	.	PUNCT
sc-1172	350	1	[	[	X
sc-1172	350	2	7	7	X
sc-1172	350	3	]	]	X
sc-1172	350	4	w.	w.	PROPN
sc-1172	350	5	minnebo	minnebo	PROPN
sc-1172	350	6	and	and	CCONJ
sc-1172	350	7	b.	b.	PROPN
sc-1172	350	8	van	van	PROPN
sc-1172	350	9	houdt	houdt	PROPN
sc-1172	350	10	.	.	PUNCT
sc-1172	351	1	tech	tech	NOUN
sc-1172	351	2	.	.	PUNCT
sc-1172	352	1	report	report	NOUN
sc-1172	352	2	:	:	PUNCT
sc-1172	352	3	analysis	analysis	NOUN
sc-1172	352	4	of	of	ADP
sc-1172	352	5	rate	rate	NOUN
sc-1172	352	6	-	-	PUNCT
sc-1172	352	7	based	base	VERB
sc-1172	352	8	pull	pull	NOUN
sc-1172	352	9	and	and	CCONJ
sc-1172	352	10	push	push	VERB
sc-1172	352	11	strategies	strategy	NOUN
sc-1172	352	12	with	with	ADP
sc-1172	352	13	limited	limited	ADJ
sc-1172	352	14	migration	migration	NOUN
sc-1172	352	15	rates	rate	NOUN
sc-1172	352	16	in	in	ADP
sc-1172	352	17	large	large	ADJ
sc-1172	352	18	distributed	distribute	VERB
sc-1172	352	19	networks	network	NOUN
sc-1172	352	20	.	.	PUNCT
sc-1172	353	1	http://win.ua.ac.be/~vanhoudt/papers/reports/	http://win.ua.ac.be/~vanhoudt/papers/reports/	PROPN
sc-1172	353	2	migrationpaper.pdf	migrationpaper.pdf	PROPN
sc-1172	353	3	,	,	PUNCT
sc-1172	353	4	2015	2015	NUM
sc-1172	353	5	.	.	PUNCT
sc-1172	354	1	[	[	X
sc-1172	354	2	8	8	NUM
sc-1172	354	3	]	]	X
sc-1172	354	4	r.	r.	PROPN
sc-1172	354	5	mirchandaney	mirchandaney	PROPN
sc-1172	354	6	,	,	PUNCT
sc-1172	354	7	d.	d.	PROPN
sc-1172	354	8	towsley	towsley	PROPN
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sc-1172	355	3	the	the	DET
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sc-1172	355	5	of	of	ADP
sc-1172	355	6	delays	delay	NOUN
sc-1172	355	7	on	on	ADP
sc-1172	355	8	load	load	NOUN
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sc-1172	355	10	.	.	PUNCT
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sc-1172	356	2	trans	trans	PROPN
sc-1172	356	3	.	.	PUNCT
sc-1172	357	1	comput	comput	PROPN
sc-1172	357	2	.	.	PUNCT
sc-1172	357	3	,	,	PUNCT
sc-1172	357	4	38(11):1513–1525	38(11):1513–1525	NUM
sc-1172	357	5	,	,	PUNCT
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sc-1172	357	7	.	.	PUNCT
sc-1172	358	1	[	[	X
sc-1172	358	2	9	9	NUM
sc-1172	358	3	]	]	X
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sc-1172	358	7	d.	d.	PROPN
sc-1172	358	8	towsley	towsley	PROPN
sc-1172	358	9	,	,	PUNCT
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sc-1172	358	11	j.	j.	PROPN
sc-1172	358	12	a.	a.	PROPN
sc-1172	358	13	stankovic	stankovic	PROPN
sc-1172	358	14	.	.	PUNCT
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sc-1172	359	2	load	load	NOUN
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sc-1172	359	4	in	in	ADP
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sc-1172	359	6	distributed	distribute	VERB
sc-1172	359	7	systems	system	NOUN
sc-1172	359	8	.	.	PUNCT
sc-1172	360	1	j.	j.	PROPN
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sc-1172	360	4	.	.	PUNCT
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sc-1172	361	7	.	.	PUNCT
sc-1172	362	1	[	[	X
sc-1172	362	2	10	10	NUM
sc-1172	362	3	]	]	PUNCT
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sc-1172	362	6	.	.	PUNCT
sc-1172	363	1	the	the	DET
sc-1172	363	2	power	power	NOUN
sc-1172	363	3	of	of	ADP
sc-1172	363	4	two	two	NUM
sc-1172	363	5	choices	choice	NOUN
sc-1172	363	6	in	in	ADP
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sc-1172	363	8	load	load	NOUN
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sc-1172	363	10	.	.	PUNCT
sc-1172	364	1	ieee	ieee	PROPN
sc-1172	364	2	trans	trans	PROPN
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sc-1172	366	1	syst	syst	PROPN
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sc-1172	366	8	.	.	PUNCT
sc-1172	367	1	[	[	X
sc-1172	367	2	11	11	NUM
sc-1172	367	3	]	]	X
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sc-1172	367	5	v.	v.	ADP
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sc-1172	367	8	b.	b.	PROPN
sc-1172	367	9	v.	v.	PROPN
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sc-1172	367	11	.	.	PUNCT
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sc-1172	368	2	of	of	ADP
sc-1172	368	3	rate	rate	NOUN
sc-1172	368	4	-	-	PUNCT
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sc-1172	368	6	pull	pull	NOUN
sc-1172	368	7	and	and	CCONJ
sc-1172	368	8	push	push	VERB
sc-1172	368	9	strategies	strategy	NOUN
sc-1172	368	10	in	in	ADP
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sc-1172	370	6	.	.	PUNCT
sc-1172	371	1	[	[	X
sc-1172	371	2	12	12	NUM
sc-1172	371	3	]	]	PUNCT
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sc-1172	371	6	.	.	PUNCT
sc-1172	372	1	pull	pull	NOUN
sc-1172	372	2	-	-	PUNCT
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sc-1172	373	5	,	,	PUNCT
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sc-1172	373	7	.	.	PUNCT
sc-1172	374	1	[	[	X
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sc-1172	375	8	pull	pull	ADJ
sc-1172	375	9	strategies	strategy	NOUN
sc-1172	375	10	in	in	ADP
sc-1172	375	11	large	large	ADJ
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sc-1172	375	13	systems	system	NOUN
sc-1172	375	14	.	.	PUNCT
sc-1172	376	1	in	in	ADP
sc-1172	376	2	proceedings	proceeding	NOUN
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sc-1172	376	6	,	,	PUNCT
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sc-1172	376	8	(	(	PUNCT
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sc-1172	376	10	)	)	PUNCT
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sc-1172	376	18	,	,	PUNCT
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sc-1172	377	1	[	[	X
sc-1172	377	2	14	14	NUM
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sc-1172	377	7	r.	r.	PROPN
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sc-1172	378	3	with	with	ADP
sc-1172	378	4	selection	selection	NOUN
sc-1172	378	5	of	of	ADP
sc-1172	378	6	the	the	DET
sc-1172	378	7	shortest	short	ADJ
sc-1172	378	8	of	of	ADP
sc-1172	378	9	two	two	NUM
sc-1172	378	10	queues	queue	NOUN
sc-1172	378	11	:	:	PUNCT
sc-1172	378	12	an	an	DET
sc-1172	378	13	asymptotic	asymptotic	ADJ
sc-1172	378	14	approach	approach	NOUN
sc-1172	378	15	.	.	PUNCT
sc-1172	379	1	problemy	problemy	PROPN
sc-1172	379	2	peredachi	peredachi	PROPN
sc-1172	379	3	informatsii	informatsii	VERB
sc-1172	379	4	,	,	PUNCT
sc-1172	379	5	32:15–27	32:15–27	PROPN
sc-1172	379	6	,	,	PUNCT
sc-1172	379	7	1996	1996	NUM
sc-1172	379	8	.	.	PUNCT
sc-1172	380	1	[	[	X
sc-1172	380	2	15	15	NUM
sc-1172	380	3	]	]	X
sc-1172	380	4	l.	l.	PROPN
sc-1172	380	5	ying	ying	PROPN
sc-1172	380	6	,	,	PUNCT
sc-1172	380	7	r.	r.	PROPN
sc-1172	380	8	srikant	srikant	PROPN
sc-1172	380	9	,	,	PUNCT
sc-1172	380	10	and	and	CCONJ
sc-1172	380	11	x.	x.	PROPN
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sc-1172	380	13	.	.	PUNCT
sc-1172	381	1	the	the	DET
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sc-1172	381	6	than	than	ADP
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sc-1172	381	8	sample	sample	NOUN
sc-1172	381	9	in	in	ADP
sc-1172	381	10	randomized	randomized	ADJ
sc-1172	381	11	load	load	NOUN
sc-1172	381	12	balancing	balance	VERB
sc-1172	381	13	.	.	PUNCT
sc-1172	382	1	in	in	ADP
sc-1172	382	2	proc	proc	PROPN
sc-1172	382	3	.	.	PUNCT
sc-1172	383	1	of	of	ADP
sc-1172	383	2	ieee	ieee	PROPN
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sc-1172	383	4	,	,	PUNCT
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sc-1172	384	1	.	.	PUNCT
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sc-1172	385	4	rate	rate	NOUN
sc-1172	385	5	based	base	VERB
sc-1172	385	6	strategies	strategy	NOUN
sc-1172	385	7	pull	pull	VERB
sc-1172	385	8	and	and	CCONJ
sc-1172	385	9	push	push	VERB
sc-1172	385	10	strategies	strategy	NOUN
sc-1172	385	11	limiting	limit	VERB
sc-1172	385	12	the	the	DET
sc-1172	385	13	overall	overall	ADJ
sc-1172	385	14	migration	migration	NOUN
sc-1172	385	15	rate	rate	NOUN
sc-1172	385	16	max	max	NOUN
sc-1172	385	17	-	-	PUNCT
sc-1172	385	18	push	push	NOUN
sc-1172	385	19	limiting	limit	VERB
sc-1172	385	20	the	the	DET
sc-1172	385	21	overall	overall	ADJ
sc-1172	385	22	migration	migration	NOUN
sc-1172	385	23	rate	rate	NOUN
sc-1172	385	24	conditional	conditional	ADJ
sc-1172	385	25	pull	pull	NOUN
sc-1172	385	26	model	model	NOUN
sc-1172	385	27	validation	validation	NOUN
sc-1172	385	28	push	push	NOUN
sc-1172	385	29	versus	versus	ADP
sc-1172	385	30	pull	pull	NOUN
sc-1172	385	31	strategies	strategy	NOUN
sc-1172	385	32	references	reference	NOUN