id	sid	tid	token	lemma	pos
bibechana-4876	1	1	microsoft	microsoft	PROPN
bibechana-4876	1	2	word	word	PROPN
bibechana-4876	1	3	shree	shree	PROPN
bibechana-4876	1	4	ram	ram	PROPN
bibechana-4876	1	5	khadka	khadka	PROPN
bibechana-4876	1	6	shree	shree	PROPN
bibechana-4876	1	7	ram	ram	PROPN
bibechana-4876	1	8	khadka	khadka	PROPN
bibechana-4876	1	9	/	/	SYM
bibechana-4876	1	10	bibechana	bibechana	PROPN
bibechana-4876	1	11	8	8	NUM
bibechana-4876	1	12	(	(	PUNCT
bibechana-4876	1	13	2012	2012	NUM
bibechana-4876	1	14	)	)	PUNCT
bibechana-4876	1	15	53	53	NUM
bibechana-4876	1	16	-	-	SYM
bibechana-4876	1	17	58	58	NUM
bibechana-4876	1	18	:	:	PUNCT
bibechana-4876	1	19	bmhss	bmhss	PROPN
bibechana-4876	1	20	,	,	PUNCT
bibechana-4876	1	21	p.53	p.53	PROPN
bibechana-4876	1	22	bibechana	bibechana	PROPN
bibechana-4876	1	23	a	a	DET
bibechana-4876	1	24	multidisciplinary	multidisciplinary	ADJ
bibechana-4876	1	25	journal	journal	NOUN
bibechana-4876	1	26	of	of	ADP
bibechana-4876	1	27	science	science	NOUN
bibechana-4876	1	28	,	,	PUNCT
bibechana-4876	1	29	technology	technology	NOUN
bibechana-4876	1	30	and	and	CCONJ
bibechana-4876	1	31	mathematics	mathematic	NOUN
bibechana-4876	1	32	issn	issn	VERB
bibechana-4876	1	33	2091	2091	NUM
bibechana-4876	1	34	-	-	SYM
bibechana-4876	1	35	0762	0762	NUM
bibechana-4876	1	36	(	(	PUNCT
bibechana-4876	1	37	online	online	ADJ
bibechana-4876	1	38	)	)	PUNCT
bibechana-4876	1	39	journal	journal	NOUN
bibechana-4876	1	40	homepage	homepage	NOUN
bibechana-4876	1	41	:	:	PUNCT
bibechana-4876	1	42	http://nepjol.info/index.php/bibechana	http://nepjol.info/index.php/bibechana	PROPN
bibechana-4876	1	43	bottlenecks	bottleneck	NOUN
bibechana-4876	1	44	to	to	ADP
bibechana-4876	1	45	product	product	NOUN
bibechana-4876	1	46	rate	rate	NOUN
bibechana-4876	1	47	variation	variation	NOUN
bibechana-4876	1	48	problem	problem	NOUN
bibechana-4876	1	49	with	with	ADP
bibechana-4876	1	50	batching	batch	VERB
bibechana-4876	1	51	shree	shree	ADJ
bibechana-4876	1	52	ram	ram	NOUN
bibechana-4876	1	53	khadka	khadka	PROPN
bibechana-4876	1	54	central	central	PROPN
bibechana-4876	1	55	department	department	PROPN
bibechana-4876	1	56	mathematics	mathematics	PROPN
bibechana-4876	1	57	,	,	PUNCT
bibechana-4876	1	58	tribhuvan	tribhuvan	PROPN
bibechana-4876	1	59	university	university	PROPN
bibechana-4876	1	60	,	,	PUNCT
bibechana-4876	1	61	kathmandu	kathmandu	NOUN
bibechana-4876	1	62	,	,	PUNCT
bibechana-4876	1	63	nepal	nepal	ADJ
bibechana-4876	1	64	p.o.box	p.o.box	NOUN
bibechana-4876	1	65	,	,	PUNCT
bibechana-4876	1	66	13143	13143	NUM
bibechana-4876	1	67	e	e	NOUN
bibechana-4876	1	68	-	-	NOUN
bibechana-4876	1	69	mail	mail	NOUN
bibechana-4876	1	70	:	:	PUNCT
bibechana-4876	1	71	shreeramkhadka@gmail.com	shreeramkhadka@gmail.com	X
bibechana-4876	2	1	article	article	NOUN
bibechana-4876	2	2	history	history	NOUN
bibechana-4876	2	3	:	:	PUNCT
bibechana-4876	2	4	received	receive	VERB
bibechana-4876	2	5	25	25	NUM
bibechana-4876	2	6	may	may	NOUN
bibechana-4876	2	7	,	,	PUNCT
bibechana-4876	2	8	2011	2011	NUM
bibechana-4876	2	9	;	;	PUNCT
bibechana-4876	2	10	accepted	accept	VERB
bibechana-4876	2	11	8	8	NUM
bibechana-4876	2	12	june	june	PROPN
bibechana-4876	2	13	,	,	PUNCT
bibechana-4876	2	14	2011	2011	NUM
bibechana-4876	2	15	abstract	abstract	ADJ
bibechana-4876	2	16	the	the	DET
bibechana-4876	2	17	product	product	NOUN
bibechana-4876	2	18	rate	rate	NOUN
bibechana-4876	2	19	variation	variation	NOUN
bibechana-4876	2	20	problem	problem	NOUN
bibechana-4876	2	21	with	with	ADP
bibechana-4876	2	22	batching	batching	NOUN
bibechana-4876	2	23	minimizes	minimize	VERB
bibechana-4876	2	24	the	the	DET
bibechana-4876	2	25	variation	variation	NOUN
bibechana-4876	2	26	in	in	ADP
bibechana-4876	2	27	the	the	DET
bibechana-4876	2	28	rate	rate	NOUN
bibechana-4876	2	29	at	at	ADP
bibechana-4876	2	30	which	which	PRON
bibechana-4876	2	31	different	different	ADJ
bibechana-4876	2	32	models	model	NOUN
bibechana-4876	2	33	of	of	ADP
bibechana-4876	2	34	a	a	DET
bibechana-4876	2	35	common	common	ADJ
bibechana-4876	2	36	base	base	NOUN
bibechana-4876	2	37	product	product	NOUN
bibechana-4876	2	38	are	be	AUX
bibechana-4876	2	39	produced	produce	VERB
bibechana-4876	2	40	on	on	ADP
bibechana-4876	2	41	the	the	DET
bibechana-4876	2	42	assembly	assembly	NOUN
bibechana-4876	2	43	lines	line	NOUN
bibechana-4876	2	44	with	with	ADP
bibechana-4876	2	45	the	the	DET
bibechana-4876	2	46	assumption	assumption	NOUN
bibechana-4876	2	47	of	of	ADP
bibechana-4876	2	48	significant	significant	ADJ
bibechana-4876	2	49	setup	setup	NOUN
bibechana-4876	2	50	and	and	CCONJ
bibechana-4876	2	51	arbitrary	arbitrary	ADJ
bibechana-4876	2	52	processing	processing	NOUN
bibechana-4876	2	53	times	time	NOUN
bibechana-4876	2	54	for	for	ADP
bibechana-4876	2	55	each	each	DET
bibechana-4876	2	56	copy	copy	NOUN
bibechana-4876	2	57	of	of	ADP
bibechana-4876	2	58	each	each	DET
bibechana-4876	2	59	model	model	NOUN
bibechana-4876	2	60	.	.	PUNCT
bibechana-4876	3	1	establishment	establishment	NOUN
bibechana-4876	3	2	of	of	ADP
bibechana-4876	3	3	bottlenecks	bottleneck	NOUN
bibechana-4876	3	4	to	to	ADP
bibechana-4876	3	5	the	the	DET
bibechana-4876	3	6	problem	problem	NOUN
bibechana-4876	3	7	is	be	AUX
bibechana-4876	3	8	important	important	ADJ
bibechana-4876	3	9	for	for	ADP
bibechana-4876	3	10	the	the	DET
bibechana-4876	3	11	feasible	feasible	ADJ
bibechana-4876	3	12	and	and	CCONJ
bibechana-4876	3	13	the	the	DET
bibechana-4876	3	14	optimal	optimal	ADJ
bibechana-4876	3	15	solution	solution	NOUN
bibechana-4876	3	16	to	to	ADP
bibechana-4876	3	17	the	the	DET
bibechana-4876	3	18	problem	problem	NOUN
bibechana-4876	3	19	.	.	PUNCT
bibechana-4876	4	1	in	in	ADP
bibechana-4876	4	2	this	this	DET
bibechana-4876	4	3	paper	paper	NOUN
bibechana-4876	4	4	,	,	PUNCT
bibechana-4876	4	5	the	the	DET
bibechana-4876	4	6	lower	low	ADJ
bibechana-4876	4	7	and	and	CCONJ
bibechana-4876	4	8	the	the	DET
bibechana-4876	4	9	upper	upper	ADJ
bibechana-4876	4	10	bottlenecks	bottleneck	NOUN
bibechana-4876	4	11	to	to	ADP
bibechana-4876	4	12	the	the	DET
bibechana-4876	4	13	problem	problem	NOUN
bibechana-4876	4	14	are	be	AUX
bibechana-4876	4	15	established	establish	VERB
bibechana-4876	4	16	.	.	PUNCT
bibechana-4876	5	1	moreover	moreover	ADV
bibechana-4876	5	2	,	,	PUNCT
bibechana-4876	5	3	small	small	ADJ
bibechana-4876	5	4	bottlenecks	bottleneck	NOUN
bibechana-4876	5	5	that	that	PRON
bibechana-4876	5	6	lead	lead	VERB
bibechana-4876	5	7	to	to	ADP
bibechana-4876	5	8	optimality	optimality	NOUN
bibechana-4876	5	9	to	to	ADP
bibechana-4876	5	10	some	some	DET
bibechana-4876	5	11	instances	instance	NOUN
bibechana-4876	5	12	are	be	AUX
bibechana-4876	5	13	investigated	investigate	VERB
bibechana-4876	5	14	.	.	PUNCT
bibechana-4876	6	1	keywords	keyword	NOUN
bibechana-4876	6	2	:	:	PUNCT
bibechana-4876	6	3	product	product	NOUN
bibechana-4876	6	4	rate	rate	NOUN
bibechana-4876	6	5	variation	variation	NOUN
bibechana-4876	6	6	problem	problem	NOUN
bibechana-4876	6	7	;	;	PUNCT
bibechana-4876	6	8	batching	batch	VERB
bibechana-4876	6	9	;	;	PUNCT
bibechana-4876	6	10	sequencing	sequence	VERB
bibechana-4876	6	11	problem	problem	NOUN
bibechana-4876	6	12	;	;	PUNCT
bibechana-4876	6	13	nonlinear	nonlinear	NOUN
bibechana-4876	6	14	intege	intege	NOUN
bibechana-4876	6	15	programming	program	VERB
bibechana-4876	6	16	1	1	NUM
bibechana-4876	6	17	.	.	PUNCT
bibechana-4876	7	1	introduction	introduction	NOUN
bibechana-4876	7	2	the	the	DET
bibechana-4876	7	3	product	product	NOUN
bibechana-4876	7	4	rate	rate	NOUN
bibechana-4876	7	5	variation	variation	NOUN
bibechana-4876	7	6	problem	problem	NOUN
bibechana-4876	7	7	(	(	PUNCT
bibechana-4876	7	8	prvp	prvp	PROPN
bibechana-4876	7	9	)	)	PUNCT
bibechana-4876	7	10	with	with	ADP
bibechana-4876	7	11	batching	batch	VERB
bibechana-4876	7	12	minimizes	minimize	VERB
bibechana-4876	7	13	the	the	DET
bibechana-4876	7	14	variation	variation	NOUN
bibechana-4876	7	15	in	in	ADP
bibechana-4876	7	16	the	the	DET
bibechana-4876	7	17	rate	rate	NOUN
bibechana-4876	7	18	at	at	ADP
bibechana-4876	7	19	which	which	PRON
bibechana-4876	7	20	different	different	ADJ
bibechana-4876	7	21	models	model	NOUN
bibechana-4876	7	22	of	of	ADP
bibechana-4876	7	23	a	a	DET
bibechana-4876	7	24	common	common	ADJ
bibechana-4876	7	25	base	base	NOUN
bibechana-4876	7	26	product	product	NOUN
bibechana-4876	7	27	are	be	AUX
bibechana-4876	7	28	produced	produce	VERB
bibechana-4876	7	29	in	in	ADP
bibechana-4876	7	30	batches	batch	NOUN
bibechana-4876	7	31	on	on	ADP
bibechana-4876	7	32	the	the	DET
bibechana-4876	7	33	assembly	assembly	NOUN
bibechana-4876	7	34	lines	line	NOUN
bibechana-4876	7	35	[	[	X
bibechana-4876	7	36	7,8	7,8	NUM
bibechana-4876	7	37	]	]	PUNCT
bibechana-4876	7	38	.	.	PUNCT
bibechana-4876	8	1	the	the	DET
bibechana-4876	8	2	problem	problem	NOUN
bibechana-4876	8	3	minimizes	minimize	VERB
bibechana-4876	8	4	both	both	CCONJ
bibechana-4876	8	5	the	the	DET
bibechana-4876	8	6	earliness	earliness	NOUN
bibechana-4876	8	7	and	and	CCONJ
bibechana-4876	8	8	the	the	DET
bibechana-4876	8	9	tardiness	tardiness	NOUN
bibechana-4876	8	10	penalties	penalty	NOUN
bibechana-4876	8	11	that	that	PRON
bibechana-4876	8	12	respond	respond	VERB
bibechana-4876	8	13	to	to	ADP
bibechana-4876	8	14	the	the	DET
bibechana-4876	8	15	customer	customer	NOUN
bibechana-4876	8	16	demands	demand	VERB
bibechana-4876	8	17	for	for	ADP
bibechana-4876	8	18	a	a	DET
bibechana-4876	8	19	variety	variety	NOUN
bibechana-4876	8	20	of	of	ADP
bibechana-4876	8	21	models	model	NOUN
bibechana-4876	8	22	without	without	ADP
bibechana-4876	8	23	holding	hold	VERB
bibechana-4876	8	24	large	large	ADJ
bibechana-4876	8	25	inventories	inventory	NOUN
bibechana-4876	8	26	or	or	CCONJ
bibechana-4876	8	27	incurring	incur	VERB
bibechana-4876	8	28	large	large	ADJ
bibechana-4876	8	29	shortages	shortage	NOUN
bibechana-4876	8	30	.	.	PUNCT
bibechana-4876	9	1	this	this	PRON
bibechana-4876	9	2	is	be	AUX
bibechana-4876	9	3	a	a	DET
bibechana-4876	9	4	problem	problem	NOUN
bibechana-4876	9	5	of	of	ADP
bibechana-4876	9	6	finding	find	VERB
bibechana-4876	9	7	a	a	DET
bibechana-4876	9	8	sequence	sequence	NOUN
bibechana-4876	9	9	of	of	ADP
bibechana-4876	9	10	batches	batch	NOUN
bibechana-4876	9	11	of	of	ADP
bibechana-4876	9	12	different	different	ADJ
bibechana-4876	9	13	models	model	NOUN
bibechana-4876	9	14	distributed	distribute	VERB
bibechana-4876	9	15	as	as	ADV
bibechana-4876	9	16	evenly	evenly	ADV
bibechana-4876	9	17	as	as	ADP
bibechana-4876	9	18	possible	possible	ADJ
bibechana-4876	9	19	on	on	ADP
bibechana-4876	9	20	the	the	DET
bibechana-4876	9	21	assembly	assembly	NOUN
bibechana-4876	9	22	lines	line	NOUN
bibechana-4876	9	23	with	with	ADP
bibechana-4876	9	24	the	the	DET
bibechana-4876	9	25	assumption	assumption	NOUN
bibechana-4876	9	26	of	of	ADP
bibechana-4876	9	27	significant	significant	ADJ
bibechana-4876	9	28	set	set	VERB
bibechana-4876	9	29	up	up	ADP
bibechana-4876	9	30	and	and	CCONJ
bibechana-4876	9	31	arbitrary	arbitrary	ADJ
bibechana-4876	9	32	processing	processing	NOUN
bibechana-4876	9	33	times	time	NOUN
bibechana-4876	9	34	.	.	PUNCT
bibechana-4876	10	1	significant	significant	ADJ
bibechana-4876	10	2	setup	setup	NOUN
bibechana-4876	10	3	and	and	CCONJ
bibechana-4876	10	4	arbitrary	arbitrary	ADJ
bibechana-4876	10	5	processing	processing	NOUN
bibechana-4876	10	6	times	time	NOUN
bibechana-4876	10	7	can	can	AUX
bibechana-4876	10	8	be	be	AUX
bibechana-4876	10	9	undertaken	undertake	VERB
bibechana-4876	10	10	when	when	SCONJ
bibechana-4876	10	11	the	the	DET
bibechana-4876	10	12	planning	planning	NOUN
bibechana-4876	10	13	horizon	horizon	NOUN
bibechana-4876	10	14	is	be	AUX
bibechana-4876	10	15	partitioned	partition	VERB
bibechana-4876	10	16	into	into	ADP
bibechana-4876	10	17	a	a	DET
bibechana-4876	10	18	finite	finite	ADJ
bibechana-4876	10	19	number	number	NOUN
bibechana-4876	10	20	of	of	ADP
bibechana-4876	10	21	time	time	NOUN
bibechana-4876	10	22	-	-	PUNCT
bibechana-4876	10	23	buckets	bucket	NOUN
bibechana-4876	10	24	with	with	ADP
bibechana-4876	10	25	equal	equal	ADJ
bibechana-4876	10	26	length	length	NOUN
bibechana-4876	10	27	.	.	PUNCT
bibechana-4876	11	1	the	the	DET
bibechana-4876	11	2	time	time	NOUN
bibechana-4876	11	3	length	length	NOUN
bibechana-4876	11	4	of	of	ADP
bibechana-4876	11	5	a	a	DET
bibechana-4876	11	6	time	time	NOUN
bibechana-4876	11	7	-	-	PUNCT
bibechana-4876	11	8	bucket	bucket	NOUN
bibechana-4876	11	9	is	be	AUX
bibechana-4876	11	10	called	call	VERB
bibechana-4876	11	11	a	a	DET
bibechana-4876	11	12	takt	takt	NOUN
bibechana-4876	11	13	-	-	PUNCT
bibechana-4876	11	14	time	time	NOUN
bibechana-4876	11	15	.	.	PUNCT
bibechana-4876	12	1	a	a	DET
bibechana-4876	12	2	time	time	NOUN
bibechana-4876	12	3	-	-	PUNCT
bibechana-4876	12	4	bucket	bucket	NOUN
bibechana-4876	12	5	consists	consist	VERB
bibechana-4876	12	6	of	of	ADP
bibechana-4876	12	7	a	a	DET
bibechana-4876	12	8	setup	setup	NOUN
bibechana-4876	12	9	and	and	CCONJ
bibechana-4876	12	10	a	a	DET
bibechana-4876	12	11	batch	batch	NOUN
bibechana-4876	12	12	(	(	PUNCT
bibechana-4876	12	13	a	a	DET
bibechana-4876	12	14	copy	copy	NOUN
bibechana-4876	12	15	or	or	CCONJ
bibechana-4876	12	16	several	several	ADJ
bibechana-4876	12	17	copies	copy	NOUN
bibechana-4876	12	18	)	)	PUNCT
bibechana-4876	12	19	of	of	ADP
bibechana-4876	12	20	a	a	DET
bibechana-4876	12	21	model	model	NOUN
bibechana-4876	12	22	.	.	PUNCT
bibechana-4876	13	1	the	the	DET
bibechana-4876	13	2	assumption	assumption	NOUN
bibechana-4876	13	3	that	that	PRON
bibechana-4876	13	4	allows	allow	VERB
bibechana-4876	13	5	significant	significant	ADJ
bibechana-4876	13	6	setup	setup	NOUN
bibechana-4876	13	7	and	and	CCONJ
bibechana-4876	13	8	arbitrary	arbitrary	ADJ
bibechana-4876	13	9	processing	processing	NOUN
bibechana-4876	13	10	times	time	NOUN
bibechana-4876	13	11	forces	force	VERB
bibechana-4876	13	12	the	the	DET
bibechana-4876	13	13	product	product	NOUN
bibechana-4876	13	14	rate	rate	NOUN
bibechana-4876	13	15	variation	variation	NOUN
bibechana-4876	13	16	problem	problem	NOUN
bibechana-4876	13	17	to	to	PART
bibechana-4876	13	18	be	be	AUX
bibechana-4876	13	19	a	a	DET
bibechana-4876	13	20	two	two	NUM
bibechana-4876	13	21	-	-	PUNCT
bibechana-4876	13	22	phase	phase	NOUN
bibechana-4876	13	23	problem	problem	NOUN
bibechana-4876	13	24	[	[	X
bibechana-4876	13	25	7,8	7,8	NUM
bibechana-4876	13	26	]	]	PUNCT
bibechana-4876	13	27	.	.	PUNCT
bibechana-4876	14	1	we	we	PRON
bibechana-4876	14	2	call	call	VERB
bibechana-4876	14	3	this	this	DET
bibechana-4876	14	4	problem	problem	NOUN
bibechana-4876	14	5	as	as	ADP
bibechana-4876	14	6	the	the	DET
bibechana-4876	14	7	product	product	NOUN
bibechana-4876	14	8	rate	rate	NOUN
bibechana-4876	14	9	variation	variation	NOUN
bibechana-4876	14	10	problem	problem	NOUN
bibechana-4876	14	11	with	with	ADP
bibechana-4876	14	12	batching	batching	NOUN
bibechana-4876	14	13	.	.	PUNCT
bibechana-4876	15	1	the	the	DET
bibechana-4876	15	2	first	first	ADJ
bibechana-4876	15	3	phase	phase	NOUN
bibechana-4876	15	4	is	be	AUX
bibechana-4876	15	5	the	the	DET
bibechana-4876	15	6	batching	batching	NOUN
bibechana-4876	15	7	problem	problem	NOUN
bibechana-4876	15	8	that	that	PRON
bibechana-4876	15	9	determines	determine	VERB
bibechana-4876	15	10	the	the	DET
bibechana-4876	15	11	batch	batch	NOUN
bibechana-4876	15	12	size	size	NOUN
bibechana-4876	15	13	and	and	CCONJ
bibechana-4876	15	14	the	the	DET
bibechana-4876	15	15	number	number	NOUN
bibechana-4876	15	16	of	of	ADP
bibechana-4876	15	17	batches	batch	NOUN
bibechana-4876	15	18	of	of	ADP
bibechana-4876	15	19	the	the	DET
bibechana-4876	15	20	models	model	NOUN
bibechana-4876	15	21	.	.	PUNCT
bibechana-4876	16	1	the	the	DET
bibechana-4876	16	2	second	second	ADJ
bibechana-4876	16	3	phase	phase	NOUN
bibechana-4876	16	4	is	be	AUX
bibechana-4876	16	5	the	the	DET
bibechana-4876	16	6	sequencing	sequence	VERB
bibechana-4876	16	7	problem	problem	NOUN
bibechana-4876	16	8	that	that	PRON
bibechana-4876	16	9	sequences	sequence	VERB
bibechana-4876	16	10	the	the	DET
bibechana-4876	16	11	batches	batch	NOUN
bibechana-4876	16	12	.	.	PUNCT
bibechana-4876	17	1	the	the	DET
bibechana-4876	17	2	problem	problem	NOUN
bibechana-4876	17	3	that	that	PRON
bibechana-4876	17	4	determines	determine	VERB
bibechana-4876	17	5	the	the	DET
bibechana-4876	17	6	size	size	NOUN
bibechana-4876	17	7	and	and	CCONJ
bibechana-4876	17	8	the	the	DET
bibechana-4876	17	9	number	number	NOUN
bibechana-4876	17	10	of	of	ADP
bibechana-4876	17	11	batches	batch	NOUN
bibechana-4876	17	12	and	and	CCONJ
bibechana-4876	17	13	minimizes	minimize	VERB
bibechana-4876	17	14	the	the	DET
bibechana-4876	17	15	maximum	maximum	ADJ
bibechana-4876	17	16	variation	variation	NOUN
bibechana-4876	17	17	in	in	ADP
bibechana-4876	17	18	the	the	DET
bibechana-4876	17	19	rate	rate	NOUN
bibechana-4876	17	20	at	at	ADP
bibechana-4876	17	21	which	which	PRON
bibechana-4876	17	22	batches	batch	NOUN
bibechana-4876	17	23	of	of	ADP
bibechana-4876	17	24	different	different	ADJ
bibechana-4876	17	25	models	model	NOUN
bibechana-4876	17	26	of	of	ADP
bibechana-4876	17	27	a	a	DET
bibechana-4876	17	28	common	common	ADJ
bibechana-4876	17	29	base	base	NOUN
bibechana-4876	17	30	product	product	NOUN
bibechana-4876	17	31	are	be	AUX
bibechana-4876	17	32	produced	produce	VERB
bibechana-4876	17	33	is	be	AUX
bibechana-4876	17	34	called	call	VERB
bibechana-4876	17	35	the	the	DET
bibechana-4876	17	36	bottleneck	bottleneck	NOUN
bibechana-4876	17	37	product	product	NOUN
bibechana-4876	17	38	rate	rate	NOUN
bibechana-4876	17	39	variation	variation	NOUN
bibechana-4876	17	40	with	with	ADP
bibechana-4876	17	41	batching	batch	VERB
bibechana-4876	17	42	problem	problem	NOUN
bibechana-4876	17	43	.	.	PUNCT
bibechana-4876	18	1	shree	shree	PROPN
bibechana-4876	18	2	ram	ram	PROPN
bibechana-4876	18	3	khadka	khadka	PROPN
bibechana-4876	18	4	/	/	SYM
bibechana-4876	18	5	bibechana	bibechana	PROPN
bibechana-4876	18	6	8	8	NUM
bibechana-4876	18	7	(	(	PUNCT
bibechana-4876	18	8	2012	2012	NUM
bibechana-4876	18	9	)	)	PUNCT
bibechana-4876	18	10	53	53	NUM
bibechana-4876	18	11	-	-	SYM
bibechana-4876	18	12	58	58	NUM
bibechana-4876	18	13	:	:	PUNCT
bibechana-4876	18	14	bmhss	bmhss	PROPN
bibechana-4876	18	15	,	,	PUNCT
bibechana-4876	18	16	p.54	p.54	ADP
bibechana-4876	18	17	the	the	DET
bibechana-4876	18	18	problem	problem	NOUN
bibechana-4876	18	19	has	have	AUX
bibechana-4876	18	20	been	be	AUX
bibechana-4876	18	21	formulated	formulate	VERB
bibechana-4876	18	22	as	as	ADP
bibechana-4876	18	23	a	a	DET
bibechana-4876	18	24	non	non	ADJ
bibechana-4876	18	25	-	-	ADJ
bibechana-4876	18	26	linear	linear	ADJ
bibechana-4876	18	27	integer	integer	NOUN
bibechana-4876	18	28	programming	programming	NOUN
bibechana-4876	18	29	with	with	ADP
bibechana-4876	18	30	the	the	DET
bibechana-4876	18	31	objective	objective	NOUN
bibechana-4876	18	32	of	of	ADP
bibechana-4876	18	33	minimizing	minimize	VERB
bibechana-4876	18	34	the	the	DET
bibechana-4876	18	35	deviation	deviation	NOUN
bibechana-4876	18	36	between	between	ADP
bibechana-4876	18	37	the	the	DET
bibechana-4876	18	38	actual	actual	ADJ
bibechana-4876	18	39	and	and	CCONJ
bibechana-4876	18	40	the	the	DET
bibechana-4876	18	41	ideal	ideal	ADJ
bibechana-4876	18	42	production	production	NOUN
bibechana-4876	18	43	under	under	ADP
bibechana-4876	18	44	the	the	DET
bibechana-4876	18	45	assumption	assumption	NOUN
bibechana-4876	18	46	that	that	SCONJ
bibechana-4876	18	47	the	the	DET
bibechana-4876	18	48	system	system	NOUN
bibechana-4876	18	49	has	have	AUX
bibechana-4876	18	50	sufficient	sufficient	ADJ
bibechana-4876	18	51	capacity	capacity	NOUN
bibechana-4876	18	52	with	with	ADP
bibechana-4876	18	53	significant	significant	ADJ
bibechana-4876	18	54	set	set	VERB
bibechana-4876	18	55	up	up	ADP
bibechana-4876	18	56	and	and	CCONJ
bibechana-4876	18	57	arbitrary	arbitrary	ADJ
bibechana-4876	18	58	processing	processing	NOUN
bibechana-4876	18	59	times	time	NOUN
bibechana-4876	18	60	each	each	DET
bibechana-4876	18	61	batch	batch	NOUN
bibechana-4876	18	62	of	of	ADP
bibechana-4876	18	63	a	a	DET
bibechana-4876	18	64	model	model	NOUN
bibechana-4876	18	65	is	be	AUX
bibechana-4876	18	66	produced	produce	VERB
bibechana-4876	18	67	in	in	ADP
bibechana-4876	18	68	a	a	DET
bibechana-4876	18	69	unit	unit	NOUN
bibechana-4876	18	70	time	time	NOUN
bibechana-4876	18	71	-	-	PUNCT
bibechana-4876	18	72	bucket	bucket	NOUN
bibechana-4876	19	1	[	[	X
bibechana-4876	19	2	7,8	7,8	NUM
bibechana-4876	19	3	]	]	PUNCT
bibechana-4876	19	4	.	.	PUNCT
bibechana-4876	20	1	the	the	DET
bibechana-4876	20	2	problem	problem	NOUN
bibechana-4876	20	3	has	have	VERB
bibechana-4876	20	4	mathematically	mathematically	ADV
bibechana-4876	20	5	interesting	interesting	ADJ
bibechana-4876	20	6	base	base	NOUN
bibechana-4876	20	7	model	model	NOUN
bibechana-4876	20	8	with	with	ADP
bibechana-4876	20	9	theoretical	theoretical	ADJ
bibechana-4876	20	10	value	value	NOUN
bibechana-4876	20	11	and	and	CCONJ
bibechana-4876	20	12	real	real	ADJ
bibechana-4876	20	13	world	world	NOUN
bibechana-4876	20	14	applications	application	NOUN
bibechana-4876	20	15	,	,	PUNCT
bibechana-4876	20	16	see	see	VERB
bibechana-4876	20	17	[	[	X
bibechana-4876	20	18	3	3	NUM
bibechana-4876	20	19	]	]	PUNCT
bibechana-4876	20	20	.	.	PUNCT
bibechana-4876	21	1	the	the	DET
bibechana-4876	21	2	problem	problem	NOUN
bibechana-4876	21	3	has	have	AUX
bibechana-4876	21	4	been	be	AUX
bibechana-4876	21	5	extensively	extensively	ADV
bibechana-4876	21	6	studied	study	VERB
bibechana-4876	21	7	and	and	CCONJ
bibechana-4876	21	8	solved	solve	VERB
bibechana-4876	21	9	in	in	ADP
bibechana-4876	21	10	pseudo	pseudo	NOUN
bibechana-4876	21	11	-	-	ADJ
bibechana-4876	21	12	polynomial	polynomial	ADJ
bibechana-4876	21	13	time	time	NOUN
bibechana-4876	21	14	.	.	PUNCT
bibechana-4876	22	1	the	the	DET
bibechana-4876	22	2	total	total	ADJ
bibechana-4876	22	3	prvp	prvp	NOUN
bibechana-4876	22	4	i.e.	i.e.	X
bibechana-4876	22	5	the	the	DET
bibechana-4876	22	6	problem	problem	NOUN
bibechana-4876	22	7	with	with	ADP
bibechana-4876	22	8	the	the	DET
bibechana-4876	22	9	objective	objective	NOUN
bibechana-4876	22	10	of	of	ADP
bibechana-4876	22	11	minimizing	minimize	VERB
bibechana-4876	22	12	the	the	DET
bibechana-4876	22	13	total	total	ADJ
bibechana-4876	22	14	deviation	deviation	NOUN
bibechana-4876	22	15	has	have	AUX
bibechana-4876	22	16	been	be	AUX
bibechana-4876	22	17	solved	solve	VERB
bibechana-4876	22	18	in	in	ADP
bibechana-4876	22	19	o(d	o(d	PROPN
bibechana-4876	22	20	�	�	NOUN
bibechana-4876	22	21	)	)	PUNCT
bibechana-4876	22	22	,	,	PUNCT
bibechana-4876	23	1	[	[	X
bibechana-4876	23	2	5	5	NUM
bibechana-4876	23	3	]	]	PUNCT
bibechana-4876	23	4	and	and	CCONJ
bibechana-4876	23	5	the	the	DET
bibechana-4876	23	6	problem	problem	NOUN
bibechana-4876	23	7	with	with	ADP
bibechana-4876	23	8	the	the	DET
bibechana-4876	23	9	objective	objective	NOUN
bibechana-4876	23	10	of	of	ADP
bibechana-4876	23	11	minimizing	minimize	VERB
bibechana-4876	23	12	the	the	DET
bibechana-4876	23	13	maximum	maximum	ADJ
bibechana-4876	23	14	deviation	deviation	NOUN
bibechana-4876	23	15	i.e.	i.e.	X
bibechana-4876	23	16	the	the	DET
bibechana-4876	23	17	bottleneck	bottleneck	NOUN
bibechana-4876	23	18	prvp	prvp	NOUN
bibechana-4876	23	19	in	in	ADP
bibechana-4876	23	20	o(dlogd	o(dlogd	ADJ
bibechana-4876	23	21	)	)	PUNCT
bibechana-4876	23	22	time	time	NOUN
bibechana-4876	24	1	[	[	X
bibechana-4876	24	2	4	4	NUM
bibechana-4876	24	3	]	]	PUNCT
bibechana-4876	24	4	.	.	PUNCT
bibechana-4876	25	1	note	note	VERB
bibechana-4876	25	2	that	that	SCONJ
bibechana-4876	25	3	the	the	DET
bibechana-4876	25	4	solution	solution	NOUN
bibechana-4876	25	5	to	to	ADP
bibechana-4876	25	6	both	both	DET
bibechana-4876	25	7	cases	case	NOUN
bibechana-4876	25	8	of	of	ADP
bibechana-4876	25	9	the	the	DET
bibechana-4876	25	10	problem	problem	NOUN
bibechana-4876	25	11	is	be	AUX
bibechana-4876	25	12	pareto	pareto	VERB
bibechana-4876	25	13	optimal	optimal	ADJ
bibechana-4876	25	14	.	.	PUNCT
bibechana-4876	26	1	establishment	establishment	NOUN
bibechana-4876	26	2	of	of	ADP
bibechana-4876	26	3	bottlenecks	bottleneck	NOUN
bibechana-4876	26	4	is	be	AUX
bibechana-4876	26	5	important	important	ADJ
bibechana-4876	26	6	to	to	ADP
bibechana-4876	26	7	the	the	DET
bibechana-4876	26	8	optimization	optimization	NOUN
bibechana-4876	26	9	problem	problem	NOUN
bibechana-4876	26	10	since	since	SCONJ
bibechana-4876	26	11	the	the	DET
bibechana-4876	26	12	bottlenecks	bottleneck	NOUN
bibechana-4876	26	13	guaranty	guaranty	VERB
bibechana-4876	26	14	whether	whether	SCONJ
bibechana-4876	26	15	the	the	DET
bibechana-4876	26	16	optimal	optimal	ADJ
bibechana-4876	26	17	or	or	CCONJ
bibechana-4876	26	18	feasible	feasible	ADJ
bibechana-4876	26	19	solution	solution	NOUN
bibechana-4876	26	20	exists	exist	VERB
bibechana-4876	26	21	or	or	CCONJ
bibechana-4876	26	22	not	not	PART
bibechana-4876	26	23	.	.	PUNCT
bibechana-4876	27	1	it	it	PRON
bibechana-4876	27	2	is	be	AUX
bibechana-4876	27	3	clear	clear	ADJ
bibechana-4876	27	4	that	that	SCONJ
bibechana-4876	27	5	there	there	PRON
bibechana-4876	27	6	exists	exist	VERB
bibechana-4876	27	7	no	no	DET
bibechana-4876	27	8	even	even	ADV
bibechana-4876	27	9	feasible	feasible	ADJ
bibechana-4876	27	10	solution	solution	NOUN
bibechana-4876	27	11	below	below	ADP
bibechana-4876	27	12	the	the	DET
bibechana-4876	27	13	lower	low	ADJ
bibechana-4876	27	14	bottleneck	bottleneck	NOUN
bibechana-4876	27	15	and	and	CCONJ
bibechana-4876	27	16	every	every	DET
bibechana-4876	27	17	instance	instance	NOUN
bibechana-4876	27	18	has	have	VERB
bibechana-4876	27	19	optimal	optimal	ADJ
bibechana-4876	27	20	solution	solution	NOUN
bibechana-4876	27	21	below	below	ADP
bibechana-4876	27	22	the	the	DET
bibechana-4876	27	23	upper	upper	ADJ
bibechana-4876	27	24	one	one	NOUN
bibechana-4876	27	25	.	.	PUNCT
bibechana-4876	28	1	in	in	ADP
bibechana-4876	28	2	this	this	DET
bibechana-4876	28	3	paper	paper	NOUN
bibechana-4876	28	4	,	,	PUNCT
bibechana-4876	28	5	the	the	DET
bibechana-4876	28	6	lower	low	ADJ
bibechana-4876	28	7	and	and	CCONJ
bibechana-4876	28	8	the	the	DET
bibechana-4876	28	9	upper	upper	ADJ
bibechana-4876	28	10	bottlenecks	bottleneck	NOUN
bibechana-4876	28	11	to	to	ADP
bibechana-4876	28	12	the	the	DET
bibechana-4876	28	13	problem	problem	NOUN
bibechana-4876	28	14	are	be	AUX
bibechana-4876	28	15	established	establish	VERB
bibechana-4876	28	16	.	.	PUNCT
bibechana-4876	29	1	moreover	moreover	ADV
bibechana-4876	29	2	,	,	PUNCT
bibechana-4876	29	3	small	small	ADJ
bibechana-4876	29	4	bottlenecks	bottleneck	NOUN
bibechana-4876	29	5	that	that	PRON
bibechana-4876	29	6	lead	lead	VERB
bibechana-4876	29	7	to	to	ADP
bibechana-4876	29	8	optimality	optimality	NOUN
bibechana-4876	29	9	to	to	ADP
bibechana-4876	29	10	some	some	DET
bibechana-4876	29	11	instances	instance	NOUN
bibechana-4876	29	12	are	be	AUX
bibechana-4876	29	13	investigated	investigate	VERB
bibechana-4876	29	14	.	.	PUNCT
bibechana-4876	30	1	the	the	DET
bibechana-4876	30	2	plan	plan	NOUN
bibechana-4876	30	3	of	of	ADP
bibechana-4876	30	4	the	the	DET
bibechana-4876	30	5	paper	paper	NOUN
bibechana-4876	30	6	is	be	AUX
bibechana-4876	30	7	as	as	SCONJ
bibechana-4876	30	8	follows	follow	VERB
bibechana-4876	30	9	.	.	PUNCT
bibechana-4876	31	1	section	section	NOUN
bibechana-4876	31	2	2	2	NUM
bibechana-4876	31	3	reviews	review	VERB
bibechana-4876	31	4	the	the	DET
bibechana-4876	31	5	mathematical	mathematical	ADJ
bibechana-4876	31	6	model	model	NOUN
bibechana-4876	31	7	.	.	PUNCT
bibechana-4876	32	1	in	in	ADP
bibechana-4876	32	2	section	section	NOUN
bibechana-4876	32	3	3	3	NUM
bibechana-4876	32	4	,	,	PUNCT
bibechana-4876	32	5	the	the	DET
bibechana-4876	32	6	lower	low	ADJ
bibechana-4876	32	7	and	and	CCONJ
bibechana-4876	32	8	the	the	DET
bibechana-4876	32	9	upper	upper	ADJ
bibechana-4876	32	10	bottlenecks	bottleneck	NOUN
bibechana-4876	32	11	are	be	AUX
bibechana-4876	32	12	established	establish	VERB
bibechana-4876	32	13	.	.	PUNCT
bibechana-4876	33	1	section	section	NOUN
bibechana-4876	33	2	4	4	NUM
bibechana-4876	33	3	studies	study	NOUN
bibechana-4876	33	4	small	small	ADJ
bibechana-4876	33	5	bottlenecks	bottleneck	NOUN
bibechana-4876	33	6	that	that	PRON
bibechana-4876	33	7	lead	lead	VERB
bibechana-4876	33	8	to	to	ADP
bibechana-4876	33	9	optimality	optimality	NOUN
bibechana-4876	33	10	to	to	ADP
bibechana-4876	33	11	some	some	DET
bibechana-4876	33	12	instances	instance	NOUN
bibechana-4876	33	13	are	be	AUX
bibechana-4876	33	14	investigated	investigate	VERB
bibechana-4876	33	15	.	.	PUNCT
bibechana-4876	34	1	the	the	DET
bibechana-4876	34	2	last	last	ADJ
bibechana-4876	34	3	section	section	NOUN
bibechana-4876	34	4	concludes	conclude	VERB
bibechana-4876	34	5	the	the	DET
bibechana-4876	34	6	paper	paper	NOUN
bibechana-4876	34	7	.	.	PUNCT
bibechana-4876	35	1	2	2	X
bibechana-4876	35	2	.	.	X
bibechana-4876	35	3	mathematical	mathematical	ADJ
bibechana-4876	35	4	formulation	formulation	NOUN
bibechana-4876	35	5	let	let	VERB
bibechana-4876	35	6	s	s	PRON
bibechana-4876	35	7	and	and	CCONJ
bibechana-4876	35	8	p	p	NOUN
bibechana-4876	35	9	be	be	AUX
bibechana-4876	35	10	the	the	DET
bibechana-4876	35	11	setup	setup	NOUN
bibechana-4876	35	12	and	and	CCONJ
bibechana-4876	35	13	processing	processing	NOUN
bibechana-4876	35	14	times	time	NOUN
bibechana-4876	35	15	of	of	ADP
bibechana-4876	35	16	a	a	DET
bibechana-4876	35	17	model	model	NOUN
bibechana-4876	35	18	i	i	PRON
bibechana-4876	35	19	,	,	PUNCT
bibechana-4876	35	20	i	i	NOUN
bibechana-4876	35	21	=	=	NOUN
bibechana-4876	35	22	1	1	NUM
bibechana-4876	35	23	,	,	PUNCT
bibechana-4876	35	24	.	.	PUNCT
bibechana-4876	35	25	.	.	PUNCT
bibechana-4876	36	1	.	.	PUNCT
bibechana-4876	37	1	,	,	PUNCT
bibechana-4876	37	2	n	n	CCONJ
bibechana-4876	37	3	,	,	PUNCT
bibechana-4876	37	4	respectively	respectively	ADV
bibechana-4876	37	5	.	.	PUNCT
bibechana-4876	38	1	the	the	DET
bibechana-4876	38	2	total	total	ADJ
bibechana-4876	38	3	demands	demand	NOUN
bibechana-4876	38	4	d	d	X
bibechana-4876	38	5	=	=	SYM
bibechana-4876	38	6	∑	∑	PROPN
bibechana-4876	38	7	d	d	PROPN
bibechana-4876	38	8	�	�	PROPN
bibechana-4876	38	9	�	�	PROPN
bibechana-4876	38	10	�	�	PROPN
bibechana-4876	38	11	are	be	AUX
bibechana-4876	38	12	manufactured	manufacture	VERB
bibechana-4876	38	13	over	over	ADP
bibechana-4876	38	14	the	the	DET
bibechana-4876	38	15	planning	planning	NOUN
bibechana-4876	38	16	horizon	horizon	PROPN
bibechana-4876	38	17	t	t	PROPN
bibechana-4876	38	18	partitioned	partition	VERB
bibechana-4876	38	19	into	into	ADP
bibechana-4876	38	20	�	�	PROPN
bibechana-4876	38	21	timebuckets	timebucket	NOUN
bibechana-4876	38	22	i.e.	i.e.	X
bibechana-4876	38	23	the	the	DET
bibechana-4876	38	24	number	number	NOUN
bibechana-4876	38	25	of	of	ADP
bibechana-4876	38	26	batches	batch	NOUN
bibechana-4876	38	27	with	with	ADP
bibechana-4876	38	28	the	the	DET
bibechana-4876	38	29	takt	takt	NOUN
bibechana-4876	38	30	-	-	PUNCT
bibechana-4876	38	31	time	time	NOUN
bibechana-4876	38	32	t	t	PROPN
bibechana-4876	38	33	=	=	SYM
bibechana-4876	38	34	�	�	PROPN
bibechana-4876	38	35	�	�	PROPN
bibechana-4876	38	36	.	.	PUNCT
bibechana-4876	39	1	there	there	PRON
bibechana-4876	39	2	may	may	AUX
bibechana-4876	39	3	exist	exist	VERB
bibechana-4876	39	4	batches	batch	NOUN
bibechana-4876	39	5	with	with	ADP
bibechana-4876	39	6	no	no	DET
bibechana-4876	39	7	models	model	NOUN
bibechana-4876	39	8	to	to	PART
bibechana-4876	39	9	be	be	AUX
bibechana-4876	39	10	manufactured	manufacture	VERB
bibechana-4876	39	11	.	.	PUNCT
bibechana-4876	40	1	such	such	ADJ
bibechana-4876	40	2	empty	empty	ADJ
bibechana-4876	40	3	batches	batch	NOUN
bibechana-4876	40	4	are	be	AUX
bibechana-4876	40	5	potentially	potentially	ADV
bibechana-4876	40	6	useful	useful	ADJ
bibechana-4876	40	7	for	for	ADP
bibechana-4876	40	8	the	the	DET
bibechana-4876	40	9	improvement	improvement	NOUN
bibechana-4876	40	10	of	of	ADP
bibechana-4876	40	11	the	the	DET
bibechana-4876	40	12	system	system	NOUN
bibechana-4876	40	13	performance	performance	NOUN
bibechana-4876	40	14	[	[	X
bibechana-4876	40	15	5	5	NUM
bibechana-4876	40	16	]	]	PUNCT
bibechana-4876	40	17	.	.	PUNCT
bibechana-4876	41	1	the	the	DET
bibechana-4876	41	2	takt	takt	NOUN
bibechana-4876	41	3	-	-	PUNCT
bibechana-4876	41	4	time	time	NOUN
bibechana-4876	41	5	satisfies	satisfie	NOUN
bibechana-4876	41	6	t	t	PROPN
bibechana-4876	41	7	≥	≥	NOUN
bibechana-4876	41	8	s	s	PART
bibechana-4876	41	9	+	+	X
bibechana-4876	41	10	p	p	NOUN
bibechana-4876	41	11	,	,	PUNCT
bibechana-4876	41	12	i	i	PRON
bibechana-4876	41	13	=	=	NOUN
bibechana-4876	41	14	1	1	NUM
bibechana-4876	41	15	,	,	PUNCT
bibechana-4876	41	16	.	.	PUNCT
bibechana-4876	41	17	.	.	PUNCT
bibechana-4876	41	18	.	.	PUNCT
bibechana-4876	42	1	,	,	PUNCT
bibechana-4876	42	2	n.	n.	NOUN
bibechana-4876	42	3	we	we	PRON
bibechana-4876	42	4	denote	denote	VERB
bibechana-4876	42	5	x	x	PRON
bibechana-4876	42	6	�	�	PROPN
bibechana-4876	42	7	,	,	PUNCT
bibechana-4876	42	8	i	i	PRON
bibechana-4876	42	9	=	=	NOUN
bibechana-4876	42	10	0	0	NUM
bibechana-4876	42	11	,	,	PUNCT
bibechana-4876	42	12	1	1	NUM
bibechana-4876	42	13	,	,	PUNCT
bibechana-4876	42	14	.	.	PUNCT
bibechana-4876	42	15	.	.	PUNCT
bibechana-4876	43	1	.	.	PUNCT
bibechana-4876	44	1	,	,	PUNCT
bibechana-4876	44	2	n	n	CCONJ
bibechana-4876	44	3	;	;	PUNCT
bibechana-4876	44	4	k	k	X
bibechana-4876	44	5	=	=	SYM
bibechana-4876	44	6	1	1	NUM
bibechana-4876	44	7	,	,	PUNCT
bibechana-4876	44	8	.	.	PUNCT
bibechana-4876	44	9	.	.	PUNCT
bibechana-4876	45	1	.	.	PUNCT
bibechana-4876	46	1	,	,	PUNCT
bibechana-4876	46	2	�	�	PROPN
bibechana-4876	46	3	to	to	PART
bibechana-4876	46	4	be	be	AUX
bibechana-4876	46	5	the	the	DET
bibechana-4876	46	6	actual	actual	ADJ
bibechana-4876	46	7	cumulative	cumulative	ADJ
bibechana-4876	46	8	number	number	NOUN
bibechana-4876	46	9	of	of	ADP
bibechana-4876	46	10	batches	batch	NOUN
bibechana-4876	46	11	for	for	ADP
bibechana-4876	46	12	model	model	NOUN
bibechana-4876	46	13	i	i	PRON
bibechana-4876	46	14	produced	produce	VERB
bibechana-4876	46	15	during	during	ADP
bibechana-4876	46	16	the	the	DET
bibechana-4876	46	17	time	time	NOUN
bibechana-4876	46	18	-	-	PUNCT
bibechana-4876	46	19	buckets	bucket	NOUN
bibechana-4876	46	20	1	1	NUM
bibechana-4876	46	21	through	through	ADP
bibechana-4876	46	22	k.	k.	NOUN
bibechana-4876	46	23	the	the	DET
bibechana-4876	46	24	actual	actual	ADJ
bibechana-4876	46	25	cumulative	cumulative	ADJ
bibechana-4876	46	26	production	production	NOUN
bibechana-4876	46	27	of	of	ADP
bibechana-4876	46	28	model	model	NOUN
bibechana-4876	46	29	i	i	PRON
bibechana-4876	46	30	during	during	ADP
bibechana-4876	46	31	the	the	DET
bibechana-4876	46	32	same	same	ADJ
bibechana-4876	46	33	time	time	NOUN
bibechana-4876	46	34	-	-	PUNCT
bibechana-4876	46	35	buckets	bucket	NOUN
bibechana-4876	46	36	is	be	AUX
bibechana-4876	46	37	γ	γ	PROPN
bibechana-4876	46	38	x	x	X
bibechana-4876	46	39	�	�	PROPN
bibechana-4876	46	40	,	,	PUNCT
bibechana-4876	46	41	where	where	SCONJ
bibechana-4876	46	42	γ	γ	X
bibechana-4876	46	43	=	=	SYM
bibechana-4876	46	44	#	#	SYM
bibechana-4876	46	45	$	$	SYM
bibechana-4876	46	46	#	#	NUM
bibechana-4876	46	47	%	%	NOUN
bibechana-4876	46	48	$	$	NOUN
bibechana-4876	46	49	is	be	AUX
bibechana-4876	46	50	the	the	DET
bibechana-4876	46	51	average	average	ADJ
bibechana-4876	46	52	number	number	NOUN
bibechana-4876	46	53	of	of	ADP
bibechana-4876	46	54	copies	copy	NOUN
bibechana-4876	46	55	of	of	ADP
bibechana-4876	46	56	model	model	NOUN
bibechana-4876	46	57	i	i	PRON
bibechana-4876	46	58	per	per	ADP
bibechana-4876	46	59	batch	batch	NOUN
bibechana-4876	46	60	.	.	PUNCT
bibechana-4876	47	1	the	the	DET
bibechana-4876	47	2	ideal	ideal	ADJ
bibechana-4876	47	3	cumulative	cumulative	ADJ
bibechana-4876	47	4	production	production	NOUN
bibechana-4876	47	5	of	of	ADP
bibechana-4876	47	6	model	model	NOUN
bibechana-4876	47	7	i	i	PRON
bibechana-4876	47	8	during	during	ADP
bibechana-4876	47	9	1	1	NUM
bibechana-4876	47	10	through	through	ADP
bibechana-4876	47	11	k	k	PROPN
bibechana-4876	47	12	timebuckets	timebucket	NOUN
bibechana-4876	47	13	is	be	AUX
bibechana-4876	47	14	γ	γ	PROPN
bibechana-4876	47	15	kr	kr	PROPN
bibechana-4876	47	16	�	�	PROPN
bibechana-4876	47	17	,	,	PUNCT
bibechana-4876	47	18	where	where	SCONJ
bibechana-4876	47	19	r	r	NOUN
bibechana-4876	47	20	�	�	X
bibechana-4876	47	21	=	=	SYM
bibechana-4876	47	22	#	#	SYM
bibechana-4876	47	23	%	%	NOUN
bibechana-4876	47	24	$	$	SYM
bibechana-4876	47	25	�	�	NOUN
bibechana-4876	47	26	is	be	AUX
bibechana-4876	47	27	the	the	DET
bibechana-4876	47	28	batch	batch	NOUN
bibechana-4876	47	29	rate	rate	NOUN
bibechana-4876	47	30	.	.	PUNCT
bibechana-4876	48	1	the	the	DET
bibechana-4876	48	2	sequencing	sequencing	NOUN
bibechana-4876	48	3	problem	problem	NOUN
bibechana-4876	48	4	minimizes	minimize	VERB
bibechana-4876	48	5	the	the	DET
bibechana-4876	48	6	deviation	deviation	NOUN
bibechana-4876	48	7	between	between	ADP
bibechana-4876	48	8	the	the	DET
bibechana-4876	48	9	actual	actual	ADJ
bibechana-4876	48	10	and	and	CCONJ
bibechana-4876	48	11	the	the	DET
bibechana-4876	48	12	ideal	ideal	ADJ
bibechana-4876	48	13	productions	production	NOUN
bibechana-4876	48	14	.	.	PUNCT
bibechana-4876	49	1	let	let	VERB
bibechana-4876	49	2	m	m	PRON
bibechana-4876	49	3	be	be	AUX
bibechana-4876	49	4	a	a	DET
bibechana-4876	49	5	positive	positive	ADJ
bibechana-4876	49	6	integer	integer	NOUN
bibechana-4876	49	7	.	.	PUNCT
bibechana-4876	50	1	the	the	DET
bibechana-4876	50	2	mathematical	mathematical	ADJ
bibechana-4876	50	3	programming	programming	NOUN
bibechana-4876	50	4	for	for	ADP
bibechana-4876	50	5	the	the	DET
bibechana-4876	50	6	sequencing	sequence	VERB
bibechana-4876	50	7	phase	phase	NOUN
bibechana-4876	50	8	of	of	ADP
bibechana-4876	50	9	the	the	DET
bibechana-4876	50	10	bottleneck	bottleneck	NOUN
bibechana-4876	50	11	product	product	NOUN
bibechana-4876	50	12	rate	rate	NOUN
bibechana-4876	50	13	variation	variation	NOUN
bibechana-4876	50	14	problem	problem	NOUN
bibechana-4876	50	15	with	with	ADP
bibechana-4876	50	16	batching	batching	NOUN
bibechana-4876	50	17	is	be	AUX
bibechana-4876	50	18	minimize	minimize	VERB
bibechana-4876	50	19	[	[	X
bibechana-4876	50	20	f	f	X
bibechana-4876	50	21	*	*	PUNCT
bibechana-4876	50	22	=	=	SYM
bibechana-4876	50	23	max	max	PROPN
bibechana-4876	50	24	,	,	PUNCT
bibechana-4876	50	25	(	(	PUNCT
bibechana-4876	50	26	γ	γ	PROPN
bibechana-4876	50	27	|x	|x	PROPN
bibechana-4876	50	28	�	�	PROPN
bibechana-4876	50	29	−	−	PROPN
bibechana-4876	50	30	kr	kr	PROPN
bibechana-4876	50	31	�	�	PROPN
bibechana-4876	50	32	|	|	ADV
bibechana-4876	50	33	)	)	PUNCT
bibechana-4876	50	34	*	*	PUNCT
bibechana-4876	50	35	]	]	X
bibechana-4876	50	36	(	(	PUNCT
bibechana-4876	50	37	8)	8)	NUM
bibechana-4876	50	38	subject	subject	NOUN
bibechana-4876	50	39	to	to	ADP
bibechana-4876	50	40	∑	∑	PROPN
bibechana-4876	50	41	x	x	X
bibechana-4876	50	42	�	�	PROPN
bibechana-4876	50	43	=	=	SYM
bibechana-4876	50	44	k	k	PROPN
bibechana-4876	50	45	�	�	PROPN
bibechana-4876	50	46	�	�	PROPN
bibechana-4876	50	47	�	�	PROPN
bibechana-4876	50	48	,	,	PUNCT
bibechana-4876	50	49	k	k	PROPN
bibechana-4876	50	50	=	=	SYM
bibechana-4876	50	51	1	1	NUM
bibechana-4876	50	52	,	,	PUNCT
bibechana-4876	50	53	…	…	PUNCT
bibechana-4876	50	54	,	,	PUNCT
bibechana-4876	50	55	�	�	PROPN
bibechana-4876	50	56	(	(	PUNCT
bibechana-4876	50	57	9	9	NUM
bibechana-4876	50	58	)	)	PUNCT
bibechana-4876	51	1	x	x	NOUN
bibechana-4876	51	2	�	�	PROPN
bibechana-4876	51	3	(	(	PUNCT
bibechana-4876	51	4	0	0	NUM
bibechana-4876	51	5	�	�	NOUN
bibechana-4876	51	6	)	)	PUNCT
bibechana-4876	51	7	≤	≤	NUM
bibechana-4876	51	8	x	x	SYM
bibechana-4876	51	9	�	�	PROPN
bibechana-4876	51	10	,	,	PUNCT
bibechana-4876	51	11	i	i	NOUN
bibechana-4876	51	12	=	=	NOUN
bibechana-4876	51	13	0,1	0,1	NUM
bibechana-4876	51	14	,	,	PUNCT
bibechana-4876	51	15	…	…	PUNCT
bibechana-4876	51	16	,	,	PUNCT
bibechana-4876	51	17	n	n	CCONJ
bibechana-4876	51	18	;	;	PUNCT
bibechana-4876	51	19	k	k	X
bibechana-4876	51	20	=	=	SYM
bibechana-4876	51	21	2	2	NUM
bibechana-4876	51	22	,	,	PUNCT
bibechana-4876	51	23	…	…	PUNCT
bibechana-4876	51	24	,	,	PUNCT
bibechana-4876	51	25	�	�	PROPN
bibechana-4876	51	26	(	(	PUNCT
bibechana-4876	51	27	10	10	NUM
bibechana-4876	51	28	)	)	PUNCT
bibechana-4876	51	29	x	x	PROPN
bibechana-4876	51	30	�	�	PROPN
bibechana-4876	51	31	�	�	PROPN
bibechana-4876	51	32	=	=	PROPN
bibechana-4876	51	33	d3	d3	PROPN
bibechana-4876	51	34	,	,	PUNCT
bibechana-4876	51	35	x	x	X
bibechana-4876	51	36	�	�	NOUN
bibechana-4876	51	37	4	4	NUM
bibechana-4876	51	38	=	=	SYM
bibechana-4876	51	39	0	0	NUM
bibechana-4876	51	40	,	,	PUNCT
bibechana-4876	51	41	i	i	NOUN
bibechana-4876	51	42	=	=	NOUN
bibechana-4876	51	43	0,1	0,1	NUM
bibechana-4876	51	44	,	,	PUNCT
bibechana-4876	51	45	…	…	PUNCT
bibechana-4876	51	46	,	,	PUNCT
bibechana-4876	51	47	n	n	X
bibechana-4876	51	48	(	(	PUNCT
bibechana-4876	51	49	11	11	NUM
bibechana-4876	51	50	)	)	PUNCT
bibechana-4876	51	51	x	x	NOUN
bibechana-4876	51	52	�	�	PROPN
bibechana-4876	51	53	≥	≥	NUM
bibechana-4876	51	54	0	0	NUM
bibechana-4876	51	55	,	,	PUNCT
bibechana-4876	51	56	integer	integer	NOUN
bibechana-4876	51	57	i	i	NOUN
bibechana-4876	51	58	=	=	NOUN
bibechana-4876	51	59	0,1	0,1	NUM
bibechana-4876	51	60	,	,	PUNCT
bibechana-4876	51	61	…	…	PUNCT
bibechana-4876	51	62	,	,	PUNCT
bibechana-4876	51	63	n	n	CCONJ
bibechana-4876	51	64	;	;	PUNCT
bibechana-4876	51	65	k	k	X
bibechana-4876	51	66	=	=	SYM
bibechana-4876	51	67	1	1	NUM
bibechana-4876	51	68	,	,	PUNCT
bibechana-4876	51	69	…	…	PUNCT
bibechana-4876	51	70	,	,	PUNCT
bibechana-4876	51	71	�	�	PROPN
bibechana-4876	51	72	(	(	PUNCT
bibechana-4876	51	73	12	12	NUM
bibechana-4876	51	74	)	)	PUNCT
bibechana-4876	51	75	constraint	constraint	NOUN
bibechana-4876	51	76	(	(	PUNCT
bibechana-4876	51	77	9	9	X
bibechana-4876	51	78	)	)	PUNCT
bibechana-4876	51	79	ensures	ensure	VERB
bibechana-4876	51	80	that	that	SCONJ
bibechana-4876	51	81	exactly	exactly	ADV
bibechana-4876	51	82	k	k	X
bibechana-4876	51	83	batches	batch	NOUN
bibechana-4876	51	84	are	be	AUX
bibechana-4876	51	85	produced	produce	VERB
bibechana-4876	51	86	during	during	ADP
bibechana-4876	51	87	the	the	DET
bibechana-4876	51	88	periods	period	NOUN
bibechana-4876	51	89	1	1	NUM
bibechana-4876	51	90	through	through	ADP
bibechana-4876	51	91	k.	k.	PROPN
bibechana-4876	51	92	constraint	constraint	PROPN
bibechana-4876	51	93	(	(	PUNCT
bibechana-4876	51	94	10	10	NUM
bibechana-4876	51	95	)	)	PUNCT
bibechana-4876	51	96	states	state	VERB
bibechana-4876	51	97	that	that	SCONJ
bibechana-4876	51	98	the	the	DET
bibechana-4876	51	99	total	total	ADJ
bibechana-4876	51	100	number	number	NOUN
bibechana-4876	51	101	of	of	ADP
bibechana-4876	51	102	batches	batch	NOUN
bibechana-4876	51	103	is	be	AUX
bibechana-4876	51	104	a	a	DET
bibechana-4876	51	105	non	non	ADJ
bibechana-4876	51	106	decreasing	decrease	VERB
bibechana-4876	51	107	function	function	NOUN
bibechana-4876	51	108	of	of	ADP
bibechana-4876	51	109	k.	k.	PROPN
bibechana-4876	51	110	constraint	constraint	PROPN
bibechana-4876	51	111	(	(	PUNCT
bibechana-4876	51	112	11	11	NUM
bibechana-4876	51	113	)	)	PUNCT
bibechana-4876	51	114	guarantees	guarantee	VERB
bibechana-4876	51	115	that	that	SCONJ
bibechana-4876	51	116	the	the	DET
bibechana-4876	51	117	batches	batch	NOUN
bibechana-4876	51	118	are	be	AUX
bibechana-4876	51	119	exactly	exactly	ADV
bibechana-4876	51	120	met	meet	VERB
bibechana-4876	51	121	.	.	PUNCT
bibechana-4876	52	1	constraints	constraint	NOUN
bibechana-4876	52	2	(	(	PUNCT
bibechana-4876	52	3	9	9	NUM
bibechana-4876	52	4	)	)	PUNCT
bibechana-4876	52	5	,	,	PUNCT
bibechana-4876	52	6	(	(	PUNCT
bibechana-4876	52	7	10	10	NUM
bibechana-4876	52	8	)	)	PUNCT
bibechana-4876	52	9	and	and	CCONJ
bibechana-4876	52	10	(	(	PUNCT
bibechana-4876	52	11	12	12	NUM
bibechana-4876	52	12	)	)	PUNCT
bibechana-4876	52	13	ensure	ensure	VERB
bibechana-4876	52	14	that	that	SCONJ
bibechana-4876	52	15	exactly	exactly	ADV
bibechana-4876	52	16	one	one	NUM
bibechana-4876	52	17	batch	batch	NOUN
bibechana-4876	52	18	of	of	ADP
bibechana-4876	52	19	a	a	DET
bibechana-4876	52	20	model	model	NOUN
bibechana-4876	52	21	is	be	AUX
bibechana-4876	52	22	sequenced	sequence	VERB
bibechana-4876	52	23	during	during	ADP
bibechana-4876	52	24	a	a	DET
bibechana-4876	52	25	unit	unit	NOUN
bibechana-4876	52	26	time	time	NOUN
bibechana-4876	52	27	-	-	PUNCT
bibechana-4876	52	28	bucket	bucket	NOUN
bibechana-4876	52	29	.	.	PUNCT
bibechana-4876	53	1	note	note	VERB
bibechana-4876	53	2	that	that	SCONJ
bibechana-4876	53	3	the	the	DET
bibechana-4876	53	4	formulation	formulation	NOUN
bibechana-4876	53	5	of	of	ADP
bibechana-4876	53	6	the	the	DET
bibechana-4876	53	7	sequencing	sequence	VERB
bibechana-4876	53	8	phase	phase	NOUN
bibechana-4876	53	9	of	of	ADP
bibechana-4876	53	10	the	the	DET
bibechana-4876	53	11	problem	problem	NOUN
bibechana-4876	53	12	is	be	AUX
bibechana-4876	53	13	similar	similar	ADJ
bibechana-4876	53	14	to	to	ADP
bibechana-4876	53	15	the	the	DET
bibechana-4876	53	16	formulation	formulation	NOUN
bibechana-4876	53	17	in	in	ADP
bibechana-4876	53	18	[	[	X
bibechana-4876	53	19	6	6	NUM
bibechana-4876	53	20	]	]	PUNCT
bibechana-4876	53	21	for	for	ADP
bibechana-4876	53	22	the	the	DET
bibechana-4876	53	23	bottleneck	bottleneck	NOUN
bibechana-4876	53	24	product	product	NOUN
bibechana-4876	53	25	rate	rate	NOUN
bibechana-4876	53	26	variation	variation	NOUN
bibechana-4876	53	27	problem	problem	NOUN
bibechana-4876	53	28	.	.	PUNCT
bibechana-4876	54	1	shree	shree	PROPN
bibechana-4876	54	2	ram	ram	PROPN
bibechana-4876	54	3	khadka	khadka	PROPN
bibechana-4876	54	4	/	/	SYM
bibechana-4876	54	5	bibechana	bibechana	PROPN
bibechana-4876	54	6	8	8	NUM
bibechana-4876	54	7	(	(	PUNCT
bibechana-4876	54	8	2012	2012	NUM
bibechana-4876	54	9	)	)	PUNCT
bibechana-4876	54	10	53	53	NUM
bibechana-4876	54	11	-	-	SYM
bibechana-4876	54	12	58	58	NUM
bibechana-4876	54	13	:	:	PUNCT
bibechana-4876	54	14	bmhss	bmhss	PROPN
bibechana-4876	54	15	,	,	PUNCT
bibechana-4876	54	16	p.55	p.55	NOUN
bibechana-4876	54	17	we	we	PRON
bibechana-4876	54	18	denote	denote	VERB
bibechana-4876	54	19	problem	problem	NOUN
bibechana-4876	55	1	f	f	X
bibechana-4876	55	2	*	*	PUNCT
bibechana-4876	55	3	for	for	ADP
bibechana-4876	55	4	the	the	DET
bibechana-4876	55	5	bottleneck	bottleneck	NOUN
bibechana-4876	55	6	product	product	NOUN
bibechana-4876	55	7	rate	rate	NOUN
bibechana-4876	55	8	variation	variation	NOUN
bibechana-4876	55	9	problem	problem	NOUN
bibechana-4876	55	10	with	with	ADP
bibechana-4876	55	11	batching	batch	VERB
bibechana-4876	55	12	with	with	ADP
bibechana-4876	55	13	the	the	DET
bibechana-4876	55	14	objective	objective	ADJ
bibechana-4876	55	15	function	function	NOUN
bibechana-4876	55	16	fm	fm	PROPN
bibechana-4876	55	17	and	and	CCONJ
bibechana-4876	55	18	the	the	DET
bibechana-4876	55	19	constraints	constraint	NOUN
bibechana-4876	55	20	(	(	PUNCT
bibechana-4876	55	21	9	9	NUM
bibechana-4876	55	22	)	)	PUNCT
bibechana-4876	55	23	to	to	ADP
bibechana-4876	55	24	(	(	PUNCT
bibechana-4876	55	25	12	12	NUM
bibechana-4876	55	26	)	)	PUNCT
bibechana-4876	55	27	.	.	PUNCT
bibechana-4876	56	1	3	3	X
bibechana-4876	56	2	.	.	X
bibechana-4876	56	3	bottlenecks	bottleneck	NOUN
bibechana-4876	56	4	establishment	establishment	NOUN
bibechana-4876	56	5	of	of	ADP
bibechana-4876	56	6	bottlenecks	bottleneck	NOUN
bibechana-4876	56	7	is	be	AUX
bibechana-4876	56	8	important	important	ADJ
bibechana-4876	56	9	to	to	ADP
bibechana-4876	56	10	the	the	DET
bibechana-4876	56	11	optimization	optimization	NOUN
bibechana-4876	56	12	problem	problem	NOUN
bibechana-4876	56	13	since	since	SCONJ
bibechana-4876	56	14	the	the	DET
bibechana-4876	56	15	bottlenecks	bottleneck	NOUN
bibechana-4876	56	16	guaranty	guaranty	VERB
bibechana-4876	56	17	whether	whether	SCONJ
bibechana-4876	56	18	the	the	DET
bibechana-4876	56	19	optimal	optimal	ADJ
bibechana-4876	56	20	or	or	CCONJ
bibechana-4876	56	21	feasible	feasible	ADJ
bibechana-4876	56	22	solution	solution	NOUN
bibechana-4876	56	23	exists	exist	VERB
bibechana-4876	56	24	or	or	CCONJ
bibechana-4876	56	25	not	not	PART
bibechana-4876	56	26	.	.	PUNCT
bibechana-4876	57	1	it	it	PRON
bibechana-4876	57	2	is	be	AUX
bibechana-4876	57	3	clear	clear	ADJ
bibechana-4876	57	4	that	that	SCONJ
bibechana-4876	57	5	there	there	PRON
bibechana-4876	57	6	exists	exist	VERB
bibechana-4876	57	7	no	no	DET
bibechana-4876	57	8	even	even	ADV
bibechana-4876	57	9	feasible	feasible	ADJ
bibechana-4876	57	10	solution	solution	NOUN
bibechana-4876	57	11	below	below	ADP
bibechana-4876	57	12	the	the	DET
bibechana-4876	57	13	lower	low	ADJ
bibechana-4876	57	14	bottleneck	bottleneck	NOUN
bibechana-4876	57	15	and	and	CCONJ
bibechana-4876	57	16	every	every	DET
bibechana-4876	57	17	instance	instance	NOUN
bibechana-4876	57	18	has	have	VERB
bibechana-4876	57	19	optimal	optimal	ADJ
bibechana-4876	57	20	solution	solution	NOUN
bibechana-4876	57	21	below	below	ADP
bibechana-4876	57	22	the	the	DET
bibechana-4876	57	23	upper	upper	ADJ
bibechana-4876	57	24	one	one	NOUN
bibechana-4876	57	25	.	.	PUNCT
bibechana-4876	58	1	let	let	VERB
bibechana-4876	58	2	5	5	NUM
bibechana-4876	58	3	be	be	AUX
bibechana-4876	58	4	a	a	DET
bibechana-4876	58	5	bottleneck	bottleneck	NOUN
bibechana-4876	58	6	to	to	ADP
bibechana-4876	58	7	the	the	DET
bibechana-4876	58	8	problem	problem	NOUN
bibechana-4876	58	9	.	.	PUNCT
bibechana-4876	59	1	theorem	theorem	NOUN
bibechana-4876	59	2	1	1	NUM
bibechana-4876	59	3	.	.	PUNCT
bibechana-4876	60	1	the	the	DET
bibechana-4876	60	2	lower	low	ADJ
bibechana-4876	60	3	bottleneck	bottleneck	NOUN
bibechana-4876	60	4	to	to	ADP
bibechana-4876	60	5	the	the	DET
bibechana-4876	60	6	problem	problem	NOUN
bibechana-4876	60	7	is	be	AUX
bibechana-4876	60	8	(	(	PUNCT
bibechana-4876	60	9	67(1	67(1	NUM
bibechana-4876	60	10	−	−	NOUN
bibechana-4876	60	11	8̃	8̃	NOUN
bibechana-4876	60	12	:	:	PUNCT
bibechana-4876	60	13	;	;	PUNCT
bibechana-4876	60	14	<	<	X
bibechana-4876	60	15	)	)	PUNCT
bibechana-4876	60	16	):	):	PUNCT
bibechana-4876	60	17	.	.	PUNCT
bibechana-4876	61	1	proof	proof	NOUN
bibechana-4876	61	2	:	:	PUNCT
bibechana-4876	61	3	a	a	DET
bibechana-4876	61	4	batch	batch	NOUN
bibechana-4876	61	5	for	for	ADP
bibechana-4876	61	6	some	some	DET
bibechana-4876	61	7	model	model	NOUN
bibechana-4876	61	8	i	i	PRON
bibechana-4876	61	9	is	be	AUX
bibechana-4876	61	10	sequenced	sequence	VERB
bibechana-4876	61	11	at	at	ADP
bibechana-4876	61	12	the	the	DET
bibechana-4876	61	13	first	first	ADJ
bibechana-4876	61	14	time	time	NOUN
bibechana-4876	61	15	-	-	PUNCT
bibechana-4876	61	16	bucket	bucket	NOUN
bibechana-4876	61	17	.	.	PUNCT
bibechana-4876	62	1	it	it	PRON
bibechana-4876	62	2	holds	hold	VERB
bibechana-4876	62	3	min(67(1	min(67(1	NOUN
bibechana-4876	62	4	−	−	NOUN
bibechana-4876	62	5	8̃7	8̃7	NUM
bibechana-4876	62	6	)	)	PUNCT
bibechana-4876	62	7	):	):	PUNCT
bibechana-4876	62	8	≤	≤	NUM
bibechana-4876	62	9	5	5	NUM
bibechana-4876	62	10	.	.	PUNCT
bibechana-4876	62	11	for	for	ADP
bibechana-4876	62	12	any	any	DET
bibechana-4876	62	13	feasible	feasible	ADJ
bibechana-4876	62	14	solution	solution	NOUN
bibechana-4876	62	15	,	,	PUNCT
bibechana-4876	63	1	min(67(1	min(67(1	NOUN
bibechana-4876	63	2	−	−	PROPN
bibechana-4876	63	3	8̃7	8̃7	NUM
bibechana-4876	63	4	)	)	PUNCT
bibechana-4876	63	5	):	):	PUNCT
bibechana-4876	63	6	≤	≤	NUM
bibechana-4876	63	7	5	5	NUM
bibechana-4876	63	8	.	.	NUM
bibechana-4876	63	9	⟹	⟹	PROPN
bibechana-4876	64	1	(	(	PUNCT
bibechana-4876	64	2	67(1	67(1	NUM
bibechana-4876	64	3	−	−	PROPN
bibechana-4876	64	4	8̃	8̃	NOUN
bibechana-4876	64	5	:	:	PUNCT
bibechana-4876	64	6	;	;	PUNCT
bibechana-4876	64	7	<	<	X
bibechana-4876	64	8	)	)	PUNCT
bibechana-4876	64	9	):	):	PUNCT
bibechana-4876	64	10	≤	≤	NUM
bibechana-4876	64	11	5	5	NUM
bibechana-4876	64	12	.	.	PUNCT
bibechana-4876	65	1	thus	thus	ADV
bibechana-4876	65	2	,	,	PUNCT
bibechana-4876	65	3	the	the	DET
bibechana-4876	65	4	lower	low	ADJ
bibechana-4876	65	5	bottleneck	bottleneck	NOUN
bibechana-4876	65	6	is	be	AUX
bibechana-4876	65	7	(	(	PUNCT
bibechana-4876	65	8	67(1	67(1	NUM
bibechana-4876	65	9	−	−	NOUN
bibechana-4876	65	10	8̃	8̃	NOUN
bibechana-4876	65	11	:	:	PUNCT
bibechana-4876	65	12	;	;	PUNCT
bibechana-4876	65	13	<	<	X
bibechana-4876	65	14	)	)	PUNCT
bibechana-4876	65	15	):	):	PUNCT
bibechana-4876	65	16	.	.	PUNCT
bibechana-4876	66	1	theorem	theorem	NOUN
bibechana-4876	66	2	2	2	NUM
bibechana-4876	66	3	.	.	PUNCT
bibechana-4876	67	1	the	the	DET
bibechana-4876	67	2	upper	upper	ADJ
bibechana-4876	67	3	bottleneck	bottleneck	NOUN
bibechana-4876	67	4	to	to	ADP
bibechana-4876	67	5	the	the	DET
bibechana-4876	67	6	problem	problem	NOUN
bibechana-4876	67	7	is	be	AUX
bibechana-4876	67	8	(	(	PUNCT
bibechana-4876	67	9	67	67	NUM
bibechana-4876	67	10	>	>	SYM
bibechana-4876	67	11	1	1	NUM
bibechana-4876	67	12	−	−	PROPN
bibechana-4876	67	13	�	�	PROPN
bibechana-4876	67	14	�	�	PROPN
bibechana-4876	67	15	?	?	PUNCT
bibechana-4876	67	16	):	):	PUNCT
bibechana-4876	67	17	.	.	PUNCT
bibechana-4876	68	1	proof	proof	NOUN
bibechana-4876	68	2	:	:	PUNCT
bibechana-4876	68	3	for	for	ADP
bibechana-4876	68	4	5	5	NUM
bibechana-4876	68	5	=	=	SYM
bibechana-4876	68	6	(	(	PUNCT
bibechana-4876	68	7	67	67	NUM
bibechana-4876	68	8	>	>	SYM
bibechana-4876	68	9	1	1	NUM
bibechana-4876	68	10	−	−	PROPN
bibechana-4876	68	11	�	�	PROPN
bibechana-4876	68	12	�	�	PROPN
bibechana-4876	68	13	?	?	PUNCT
bibechana-4876	68	14	):	):	PUNCT
bibechana-4876	68	15	,	,	PUNCT
bibechana-4876	68	16	@ab8̃7	@ab8̃7	PROPN
bibechana-4876	68	17	+	+	CCONJ
bibechana-4876	68	18	c	c	PROPN
bibechana-4876	68	19	de	de	ADP
bibechana-4876	68	20	√gh	√gh	NOUN
bibechana-4876	68	21	i	i	NOUN
bibechana-4876	68	22	=	=	PUNCT
bibechana-4876	68	23	jab8̃7	jab8̃7	NOUN
bibechana-4876	68	24	+	+	CCONJ
bibechana-4876	68	25	1	1	NUM
bibechana-4876	68	26	−	−	PROPN
bibechana-4876	68	27	c	c	PROPN
bibechana-4876	68	28	�	�	PROPN
bibechana-4876	68	29	k	k	NOUN
bibechana-4876	68	30	=	=	NOUN
bibechana-4876	68	31	ab8̃7	ab8̃7	NOUN
bibechana-4876	68	32	,	,	PUNCT
bibechana-4876	68	33	for	for	ADP
bibechana-4876	68	34	ab8̃7	ab8̃7	NOUN
bibechana-4876	68	35	being	be	AUX
bibechana-4876	68	36	integer	integer	NOUN
bibechana-4876	68	37	.	.	PUNCT
bibechana-4876	69	1	if	if	SCONJ
bibechana-4876	69	2	ab8̃7	ab8̃7	NOUN
bibechana-4876	69	3	is	be	AUX
bibechana-4876	69	4	not	not	PART
bibechana-4876	69	5	an	an	DET
bibechana-4876	69	6	integer	integer	NOUN
bibechana-4876	69	7	,	,	PUNCT
bibechana-4876	69	8	@ab8̃7	@ab8̃7	PROPN
bibechana-4876	69	9	+	+	CCONJ
bibechana-4876	69	10	c	c	PROPN
bibechana-4876	69	11	de	de	ADP
bibechana-4876	69	12	√gh	√gh	NOUN
bibechana-4876	69	13	i	i	NOUN
bibechana-4876	69	14	=	=	PUNCT
bibechana-4876	69	15	jab8̃7	jab8̃7	NOUN
bibechana-4876	69	16	+	+	CCONJ
bibechana-4876	69	17	1	1	NUM
bibechana-4876	69	18	−	−	PROPN
bibechana-4876	69	19	c	c	PROPN
bibechana-4876	69	20	�	�	PROPN
bibechana-4876	69	21	k	k	PROPN
bibechana-4876	69	22	≥	≥	PROPN
bibechana-4876	69	23	lab8̃7	lab8̃7	PROPN
bibechana-4876	69	24	m	m	PROPN
bibechana-4876	69	25	+	+	NUM
bibechana-4876	69	26	1	1	NUM
bibechana-4876	69	27	,	,	PUNCT
bibechana-4876	69	28	since	since	SCONJ
bibechana-4876	69	29	ab8̃7	ab8̃7	NOUN
bibechana-4876	69	30	=	=	SYM
bibechana-4876	69	31	lab8̃7	lab8̃7	PROPN
bibechana-4876	69	32	m	m	VERB
bibechana-4876	69	33	+	+	CCONJ
bibechana-4876	69	34	(	(	PUNCT
bibechana-4876	69	35	ab8̃7	ab8̃7	NOUN
bibechana-4876	69	36	)	)	PUNCT
bibechana-4876	69	37	,	,	PUNCT
bibechana-4876	69	38	where	where	SCONJ
bibechana-4876	69	39	(	(	PUNCT
bibechana-4876	69	40	ab8̃7	ab8̃7	NOUN
bibechana-4876	69	41	)	)	PUNCT
bibechana-4876	69	42	is	be	AUX
bibechana-4876	69	43	the	the	DET
bibechana-4876	69	44	fractional	fractional	ADJ
bibechana-4876	69	45	part	part	NOUN
bibechana-4876	69	46	of	of	ADP
bibechana-4876	69	47	ab8̃7	ab8̃7	NOUN
bibechana-4876	69	48	.	.	PUNCT
bibechana-4876	70	1	>	>	X
bibechana-4876	71	1	ab8̃7	ab8̃7	NOUN
bibechana-4876	71	2	.	.	PUNCT
bibechana-4876	72	1	therefore	therefore	ADV
bibechana-4876	72	2	,	,	PUNCT
bibechana-4876	72	3	@ab8̃7	@ab8̃7	PROPN
bibechana-4876	72	4	+	+	CCONJ
bibechana-4876	72	5	c	c	PROPN
bibechana-4876	72	6	de	de	ADP
bibechana-4876	72	7	√gh	√gh	PROPN
bibechana-4876	72	8	i	i	PRON
bibechana-4876	72	9	≥	≥	AUX
bibechana-4876	72	10	ab8̃7	ab8̃7	NOUN
bibechana-4876	72	11	.	.	PUNCT
bibechana-4876	73	1	again	again	ADV
bibechana-4876	73	2	,	,	PUNCT
bibechana-4876	73	3	oab8̃7	oab8̃7	NOUN
bibechana-4876	73	4	−	−	PROPN
bibechana-4876	73	5	c	c	PROPN
bibechana-4876	73	6	de	de	PROPN
bibechana-4876	73	7	√gh	√gh	PROPN
bibechana-4876	73	8	p	p	NOUN
bibechana-4876	73	9	=	=	PUNCT
bibechana-4876	73	10	qab8̃7	qab8̃7	NOUN
bibechana-4876	73	11	−	−	NOUN
bibechana-4876	73	12	1	1	NUM
bibechana-4876	73	13	+	+	CCONJ
bibechana-4876	73	14	c	c	PROPN
bibechana-4876	73	15	�	�	PROPN
bibechana-4876	73	16	r.	r.	PROPN
bibechana-4876	73	17	=	=	PUNCT
bibechana-4876	73	18	ab8̃7	ab8̃7	NOUN
bibechana-4876	73	19	,	,	PUNCT
bibechana-4876	73	20	for	for	ADP
bibechana-4876	73	21	ab8̃7	ab8̃7	NOUN
bibechana-4876	73	22	being	be	AUX
bibechana-4876	73	23	integer	integer	NOUN
bibechana-4876	73	24	.	.	PUNCT
bibechana-4876	74	1	if	if	SCONJ
bibechana-4876	74	2	ab8̃7	ab8̃7	NOUN
bibechana-4876	74	3	is	be	AUX
bibechana-4876	74	4	not	not	PART
bibechana-4876	74	5	an	an	DET
bibechana-4876	74	6	integer	integer	NOUN
bibechana-4876	74	7	,	,	PUNCT
bibechana-4876	74	8	oab8̃7	oab8̃7	NOUN
bibechana-4876	74	9	−	−	PROPN
bibechana-4876	74	10	c	c	PROPN
bibechana-4876	74	11	de	de	PROPN
bibechana-4876	74	12	√gh	√gh	PROPN
bibechana-4876	74	13	p	p	PROPN
bibechana-4876	74	14	≤	≤	NUM
bibechana-4876	74	15	slab8̃7mt	slab8̃7mt	NOUN
bibechana-4876	74	16	,	,	PUNCT
bibechana-4876	74	17	since	since	SCONJ
bibechana-4876	74	18	(	(	PUNCT
bibechana-4876	74	19	ab8̃7	ab8̃7	NOUN
bibechana-4876	74	20	)	)	PUNCT
bibechana-4876	74	21	≤	≤	NUM
bibechana-4876	74	22	1	1	NUM
bibechana-4876	74	23	−	−	PROPN
bibechana-4876	74	24	c	c	PROPN
bibechana-4876	74	25	�	�	PROPN
bibechana-4876	74	26	<	<	X
bibechana-4876	74	27	ab8̃7	ab8̃7	PROPN
bibechana-4876	74	28	.	.	PUNCT
bibechana-4876	75	1	therefore	therefore	ADV
bibechana-4876	75	2	,	,	PUNCT
bibechana-4876	75	3	oab8̃7	oab8̃7	NOUN
bibechana-4876	75	4	−	−	PROPN
bibechana-4876	75	5	c	c	PROPN
bibechana-4876	75	6	de	de	PROPN
bibechana-4876	75	7	√gh	√gh	PROPN
bibechana-4876	75	8	p	p	NOUN
bibechana-4876	75	9	≤	≤	ADJ
bibechana-4876	75	10	ab8̃7	ab8̃7	NOUN
bibechana-4876	75	11	now	now	ADV
bibechana-4876	75	12	,	,	PUNCT
bibechana-4876	75	13	∑	∑	PROPN
bibechana-4876	75	14	(	(	PUNCT
bibechana-4876	75	15	@ab8̃7	@ab8̃7	PROPN
bibechana-4876	75	16	+	+	CCONJ
bibechana-4876	75	17	c	c	PROPN
bibechana-4876	75	18	de	de	ADP
bibechana-4876	75	19	√gh	√gh	PROPN
bibechana-4876	75	20	i	i	PRON
bibechana-4876	75	21	−	−	PROPN
bibechana-4876	75	22	o(a	o(a	NUM
bibechana-4876	75	23	�	�	PROPN
bibechana-4876	75	24	−	−	NOUN
bibechana-4876	75	25	1)8̃7	1)8̃7	NUM
bibechana-4876	75	26	−	−	PROPN
bibechana-4876	75	27	c	c	PROPN
bibechana-4876	75	28	de	de	PROPN
bibechana-4876	75	29	√gh	√gh	PROPN
bibechana-4876	75	30	p)v	p)v	ADJ
bibechana-4876	75	31	7	7	NUM
bibechana-4876	75	32	�	�	PROPN
bibechana-4876	75	33	�	�	PROPN
bibechana-4876	75	34	≥	≥	NOUN
bibechana-4876	75	35	∑	∑	ADV
bibechana-4876	75	36	ab8̃7	ab8̃7	ADP
bibechana-4876	75	37	v	v	NUM
bibechana-4876	75	38	7	7	NUM
bibechana-4876	75	39	�	�	PROPN
bibechana-4876	75	40	�	�	PROPN
bibechana-4876	75	41	−	−	PROPN
bibechana-4876	75	42	∑	∑	PROPN
bibechana-4876	75	43	(	(	PUNCT
bibechana-4876	75	44	a	a	DET
bibechana-4876	75	45	�	�	PROPN
bibechana-4876	75	46	−	−	PROPN
bibechana-4876	75	47	1)8̃7	1)8̃7	NUM
bibechana-4876	75	48	v	v	NOUN
bibechana-4876	75	49	7	7	NUM
bibechana-4876	75	50	�	�	PROPN
bibechana-4876	75	51	�	�	PROPN
bibechana-4876	75	52	≥	≥	PROPN
bibechana-4876	75	53	ab	ab	PROPN
bibechana-4876	75	54	−	−	PROPN
bibechana-4876	75	55	a	a	DET
bibechana-4876	75	56	�	�	PROPN
bibechana-4876	75	57	+	+	CCONJ
bibechana-4876	75	58	1	1	X
bibechana-4876	75	59	.	.	PUNCT
bibechana-4876	76	1	and	and	CCONJ
bibechana-4876	76	2	∑	∑	INTJ
bibechana-4876	76	3	(	(	PUNCT
bibechana-4876	76	4	oab8̃7	oab8̃7	NOUN
bibechana-4876	76	5	−	−	PROPN
bibechana-4876	76	6	c	c	PROPN
bibechana-4876	76	7	de	de	PROPN
bibechana-4876	76	8	√gh	√gh	PROPN
bibechana-4876	76	9	p	p	PROPN
bibechana-4876	76	10	−	−	PROPN
bibechana-4876	76	11	@(a	@(a	PROPN
bibechana-4876	76	12	�	�	PROPN
bibechana-4876	76	13	−	−	PROPN
bibechana-4876	76	14	1)8̃7	1)8̃7	NUM
bibechana-4876	76	15	+	+	CCONJ
bibechana-4876	76	16	c	c	PROPN
bibechana-4876	76	17	de	de	PROPN
bibechana-4876	76	18	√gh	√gh	PROPN
bibechana-4876	76	19	i)v	i)v	PROPN
bibechana-4876	76	20	7	7	NUM
bibechana-4876	76	21	�	�	PROPN
bibechana-4876	76	22	�	�	PROPN
bibechana-4876	76	23	shree	shree	PROPN
bibechana-4876	76	24	ram	ram	PROPN
bibechana-4876	76	25	khadka	khadka	PROPN
bibechana-4876	76	26	/	/	SYM
bibechana-4876	76	27	bibechana	bibechana	PROPN
bibechana-4876	76	28	8	8	NUM
bibechana-4876	76	29	(	(	PUNCT
bibechana-4876	76	30	2012	2012	NUM
bibechana-4876	76	31	)	)	PUNCT
bibechana-4876	76	32	53	53	NUM
bibechana-4876	76	33	-	-	SYM
bibechana-4876	76	34	58	58	NUM
bibechana-4876	76	35	:	:	PUNCT
bibechana-4876	76	36	bmhss	bmhss	PROPN
bibechana-4876	76	37	,	,	PUNCT
bibechana-4876	76	38	p.56	p.56	PROPN
bibechana-4876	76	39	≤	≤	PROPN
bibechana-4876	76	40	∑	∑	ADP
bibechana-4876	76	41	ab8̃7	ab8̃7	ADP
bibechana-4876	76	42	v	v	ADP
bibechana-4876	76	43	7	7	NUM
bibechana-4876	76	44	�	�	PROPN
bibechana-4876	76	45	�	�	PROPN
bibechana-4876	76	46	−	−	PROPN
bibechana-4876	76	47	∑	∑	PROPN
bibechana-4876	76	48	(	(	PUNCT
bibechana-4876	76	49	a	a	DET
bibechana-4876	76	50	�	�	PROPN
bibechana-4876	76	51	−	−	PROPN
bibechana-4876	76	52	1)8̃7	1)8̃7	NUM
bibechana-4876	76	53	v	v	NOUN
bibechana-4876	76	54	7	7	NUM
bibechana-4876	76	55	�	�	PROPN
bibechana-4876	76	56	�	�	PROPN
bibechana-4876	76	57	≤	≤	NOUN
bibechana-4876	76	58	ab	ab	PROPN
bibechana-4876	76	59	−	−	PROPN
bibechana-4876	76	60	a	a	DET
bibechana-4876	76	61	�	�	PROPN
bibechana-4876	76	62	+	+	CCONJ
bibechana-4876	76	63	1	1	X
bibechana-4876	76	64	.	.	X
bibechana-4876	77	1	the	the	DET
bibechana-4876	77	2	bottleneck	bottleneck	NOUN
bibechana-4876	77	3	(	(	PUNCT
bibechana-4876	77	4	67	67	NUM
bibechana-4876	77	5	>	>	SYM
bibechana-4876	77	6	1	1	NUM
bibechana-4876	77	7	−	−	PROPN
bibechana-4876	77	8	�	�	PROPN
bibechana-4876	77	9	�	�	PROPN
bibechana-4876	77	10	?	?	PUNCT
bibechana-4876	77	11	):	):	PUNCT
bibechana-4876	77	12	is	be	AUX
bibechana-4876	77	13	an	an	DET
bibechana-4876	77	14	upper	upper	ADJ
bibechana-4876	77	15	bottleneck	bottleneck	NOUN
bibechana-4876	77	16	since	since	SCONJ
bibechana-4876	77	17	it	it	PRON
bibechana-4876	77	18	satisfies	satisfy	VERB
bibechana-4876	77	19	the	the	DET
bibechana-4876	77	20	hall	hall	NOUN
bibechana-4876	77	21	’s	’s	PART
bibechana-4876	77	22	theorem	theorem	NOUN
bibechana-4876	77	23	[	[	X
bibechana-4876	77	24	4	4	NUM
bibechana-4876	77	25	]	]	PUNCT
bibechana-4876	77	26	.	.	PUNCT
bibechana-4876	78	1	importance	importance	NOUN
bibechana-4876	78	2	of	of	ADP
bibechana-4876	78	3	upper	upper	ADJ
bibechana-4876	78	4	bottleneck	bottleneck	NOUN
bibechana-4876	78	5	is	be	AUX
bibechana-4876	78	6	that	that	SCONJ
bibechana-4876	78	7	every	every	DET
bibechana-4876	78	8	instance	instance	NOUN
bibechana-4876	78	9	has	have	VERB
bibechana-4876	78	10	an	an	DET
bibechana-4876	78	11	optimal	optimal	ADJ
bibechana-4876	78	12	sequence	sequence	NOUN
bibechana-4876	78	13	when	when	SCONJ
bibechana-4876	78	14	the	the	DET
bibechana-4876	78	15	given	give	VERB
bibechana-4876	78	16	bottleneck	bottleneck	NOUN
bibechana-4876	78	17	is	be	AUX
bibechana-4876	78	18	the	the	DET
bibechana-4876	78	19	upper	upper	ADJ
bibechana-4876	78	20	bottleneck	bottleneck	NOUN
bibechana-4876	78	21	.	.	PUNCT
bibechana-4876	79	1	however	however	ADV
bibechana-4876	79	2	,	,	PUNCT
bibechana-4876	79	3	it	it	PRON
bibechana-4876	79	4	is	be	AUX
bibechana-4876	79	5	not	not	PART
bibechana-4876	79	6	guaranteed	guarantee	VERB
bibechana-4876	79	7	for	for	ADP
bibechana-4876	79	8	smaller	small	ADJ
bibechana-4876	79	9	value	value	NOUN
bibechana-4876	79	10	.	.	PUNCT
bibechana-4876	80	1	the	the	DET
bibechana-4876	80	2	upper	upper	ADJ
bibechana-4876	80	3	bottleneck	bottleneck	NOUN
bibechana-4876	80	4	for	for	ADP
bibechana-4876	80	5	any	any	DET
bibechana-4876	80	6	instance	instance	NOUN
bibechana-4876	80	7	with	with	ADP
bibechana-4876	80	8	n	n	NOUN
bibechana-4876	80	9	=	=	SYM
bibechana-4876	80	10	1	1	NUM
bibechana-4876	80	11	is	be	AUX
bibechana-4876	80	12	trivially	trivially	ADV
bibechana-4876	80	13	0	0	NUM
bibechana-4876	80	14	.	.	PUNCT
bibechana-4876	81	1	the	the	DET
bibechana-4876	81	2	lower	low	ADJ
bibechana-4876	81	3	bottleneck	bottleneck	NOUN
bibechana-4876	81	4	is	be	AUX
bibechana-4876	81	5	important	important	ADJ
bibechana-4876	81	6	because	because	SCONJ
bibechana-4876	81	7	a	a	DET
bibechana-4876	81	8	feasible	feasible	ADJ
bibechana-4876	81	9	sequence	sequence	NOUN
bibechana-4876	81	10	that	that	PRON
bibechana-4876	81	11	exists	exist	VERB
bibechana-4876	81	12	for	for	ADP
bibechana-4876	81	13	lower	low	ADJ
bibechana-4876	81	14	bottleneck	bottleneck	NOUN
bibechana-4876	81	15	is	be	AUX
bibechana-4876	81	16	optimal	optimal	ADJ
bibechana-4876	81	17	.	.	PUNCT
bibechana-4876	82	1	an	an	DET
bibechana-4876	82	2	optimizer	optimizer	NOUN
bibechana-4876	82	3	always	always	ADV
bibechana-4876	82	4	seeks	seek	VERB
bibechana-4876	82	5	instances	instance	NOUN
bibechana-4876	82	6	that	that	PRON
bibechana-4876	82	7	give	give	VERB
bibechana-4876	82	8	rise	rise	NOUN
bibechana-4876	82	9	to	to	ADP
bibechana-4876	82	10	optimal	optimal	ADJ
bibechana-4876	82	11	sequence	sequence	NOUN
bibechana-4876	82	12	for	for	ADP
bibechana-4876	82	13	smaller	small	ADJ
bibechana-4876	82	14	bottleneck	bottleneck	NOUN
bibechana-4876	82	15	.	.	PUNCT
bibechana-4876	83	1	4	4	X
bibechana-4876	83	2	.	.	X
bibechana-4876	83	3	small	small	ADJ
bibechana-4876	83	4	bottleneck	bottleneck	NOUN
bibechana-4876	83	5	every	every	DET
bibechana-4876	83	6	instance	instance	NOUN
bibechana-4876	83	7	has	have	VERB
bibechana-4876	83	8	optimal	optimal	ADJ
bibechana-4876	83	9	sequence	sequence	NOUN
bibechana-4876	83	10	when	when	SCONJ
bibechana-4876	83	11	the	the	DET
bibechana-4876	83	12	given	give	VERB
bibechana-4876	83	13	bottleneck	bottleneck	NOUN
bibechana-4876	83	14	is	be	AUX
bibechana-4876	83	15	the	the	DET
bibechana-4876	83	16	upper	upper	ADJ
bibechana-4876	83	17	bottleneck	bottleneck	NOUN
bibechana-4876	83	18	.	.	PUNCT
bibechana-4876	84	1	however	however	ADV
bibechana-4876	84	2	,	,	PUNCT
bibechana-4876	84	3	it	it	PRON
bibechana-4876	84	4	is	be	AUX
bibechana-4876	84	5	not	not	PART
bibechana-4876	84	6	guaranteed	guarantee	VERB
bibechana-4876	84	7	for	for	ADP
bibechana-4876	84	8	smaller	small	ADJ
bibechana-4876	84	9	value	value	NOUN
bibechana-4876	84	10	.	.	PUNCT
bibechana-4876	85	1	a	a	DET
bibechana-4876	85	2	feasible	feasible	ADJ
bibechana-4876	85	3	solution	solution	NOUN
bibechana-4876	85	4	with	with	ADP
bibechana-4876	85	5	a	a	DET
bibechana-4876	85	6	minimum	minimum	NOUN
bibechana-4876	85	7	b	b	NOUN
bibechana-4876	85	8	is	be	AUX
bibechana-4876	85	9	optimal	optimal	ADJ
bibechana-4876	85	10	.	.	PUNCT
bibechana-4876	86	1	so	so	ADV
bibechana-4876	86	2	,	,	PUNCT
bibechana-4876	86	3	it	it	PRON
bibechana-4876	86	4	is	be	AUX
bibechana-4876	86	5	always	always	ADV
bibechana-4876	86	6	interesting	interesting	ADJ
bibechana-4876	86	7	and	and	CCONJ
bibechana-4876	86	8	important	important	ADJ
bibechana-4876	86	9	to	to	PART
bibechana-4876	86	10	seek	seek	VERB
bibechana-4876	86	11	small	small	ADJ
bibechana-4876	86	12	bottleneck	bottleneck	NOUN
bibechana-4876	86	13	.	.	PUNCT
bibechana-4876	87	1	it	it	PRON
bibechana-4876	87	2	has	have	AUX
bibechana-4876	87	3	been	be	AUX
bibechana-4876	87	4	established	establish	VERB
bibechana-4876	87	5	that	that	SCONJ
bibechana-4876	87	6	there	there	PRON
bibechana-4876	87	7	is	be	VERB
bibechana-4876	87	8	no	no	DET
bibechana-4876	87	9	instance	instance	NOUN
bibechana-4876	87	10	with	with	ADP
bibechana-4876	87	11	a	a	DET
bibechana-4876	87	12	feasible	feasible	ADJ
bibechana-4876	87	13	sequence	sequence	NOUN
bibechana-4876	87	14	for	for	ADP
bibechana-4876	87	15	the	the	DET
bibechana-4876	87	16	bottleneck	bottleneck	NOUN
bibechana-4876	87	17	5	5	NUM
bibechana-4876	87	18	<	<	X
bibechana-4876	87	19	(	(	PUNCT
bibechana-4876	87	20	de	de	X
bibechana-4876	87	21	w	w	PROPN
bibechana-4876	87	22	):	):	PROPN
bibechana-4876	87	23	.	.	PUNCT
bibechana-4876	88	1	theorem	theorem	VERB
bibechana-4876	88	2	3	3	NUM
bibechana-4876	88	3	no	no	DET
bibechana-4876	88	4	instance	instance	NOUN
bibechana-4876	88	5	with	with	ADP
bibechana-4876	88	6	x	x	X
bibechana-4876	88	7	≥	≥	NUM
bibechana-4876	88	8	2	2	NUM
bibechana-4876	88	9	of	of	ADP
bibechana-4876	88	10	the	the	DET
bibechana-4876	88	11	problem	problem	NOUN
bibechana-4876	88	12	has	have	VERB
bibechana-4876	88	13	a	a	DET
bibechana-4876	88	14	feasible	feasible	ADJ
bibechana-4876	88	15	sequence	sequence	NOUN
bibechana-4876	88	16	for	for	ADP
bibechana-4876	88	17	5	5	NUM
bibechana-4876	88	18	<	<	X
bibechana-4876	88	19	(	(	PUNCT
bibechana-4876	88	20	de	de	X
bibechana-4876	88	21	w	w	PROPN
bibechana-4876	88	22	):	):	PUNCT
bibechana-4876	88	23	.	.	PUNCT
bibechana-4876	89	1	proof	proof	NOUN
bibechana-4876	89	2	:	:	PUNCT
bibechana-4876	89	3	the	the	DET
bibechana-4876	89	4	bottleneck	bottleneck	NOUN
bibechana-4876	89	5	(	(	PUNCT
bibechana-4876	89	6	67(1	67(1	NOUN
bibechana-4876	89	7	−	−	NOUN
bibechana-4876	89	8	8̃	8̃	NOUN
bibechana-4876	89	9	:	:	PUNCT
bibechana-4876	89	10	;	;	PUNCT
bibechana-4876	89	11	<	<	X
bibechana-4876	89	12	)	)	PUNCT
bibechana-4876	89	13	):	):	PUNCT
bibechana-4876	89	14	implies	imply	VERB
bibechana-4876	89	15	1	1	NUM
bibechana-4876	89	16	−	−	PROPN
bibechana-4876	89	17	8̃	8̃	NOUN
bibechana-4876	89	18	:	:	PUNCT
bibechana-4876	89	19	;	;	PUNCT
bibechana-4876	89	20	<	<	X
bibechana-4876	89	21	≤	≤	X
bibechana-4876	89	22	c	c	X
bibechana-4876	89	23	de	de	X
bibechana-4876	89	24	√yh	√yh	PROPN
bibechana-4876	89	25	.	.	PUNCT
bibechana-4876	90	1	for	for	ADP
bibechana-4876	90	2	feasible	feasible	ADJ
bibechana-4876	90	3	sequence	sequence	NOUN
bibechana-4876	90	4	,	,	PUNCT
bibechana-4876	90	5	z3	z3	PROPN
bibechana-4876	90	6	:(	:(	PROPN
bibechana-4876	90	7	[	[	X
bibechana-4876	90	8	,	,	PUNCT
bibechana-4876	90	9	\	\	ADJ
bibechana-4876	90	10	)	)	PUNCT
bibechana-4876	90	11	≤	≤	NOUN
bibechana-4876	90	12	]	]	PUNCT
bibechana-4876	90	13	3	3	X
bibechana-4876	90	14	:(	:(	PROPN
bibechana-4876	90	15	[	[	X
bibechana-4876	90	16	,	,	PUNCT
bibechana-4876	90	17	\	\	PROPN
bibechana-4876	90	18	)	)	PUNCT
bibechana-4876	90	19	,	,	PUNCT
bibechana-4876	90	20	where	where	SCONJ
bibechana-4876	90	21	z3	z3	PROPN
bibechana-4876	90	22	:(	:(	PROPN
bibechana-4876	91	1	[	[	X
bibechana-4876	91	2	,	,	PUNCT
bibechana-4876	91	3	\	\	PROPN
bibechana-4876	91	4	)	)	PUNCT
bibechana-4876	91	5	and	and	CCONJ
bibechana-4876	91	6	]	]	X
bibechana-4876	91	7	3	3	X
bibechana-4876	91	8	:(	:(	PROPN
bibechana-4876	91	9	[	[	X
bibechana-4876	91	10	,	,	PUNCT
bibechana-4876	91	11	\	\	NOUN
bibechana-4876	91	12	)	)	PUNCT
bibechana-4876	91	13	are	be	AUX
bibechana-4876	91	14	the	the	DET
bibechana-4876	91	15	earliest	early	ADJ
bibechana-4876	91	16	and	and	CCONJ
bibechana-4876	91	17	the	the	DET
bibechana-4876	91	18	latest	late	ADJ
bibechana-4876	91	19	sequencing	sequencing	NOUN
bibechana-4876	91	20	times	time	NOUN
bibechana-4876	91	21	,	,	PUNCT
bibechana-4876	91	22	respectively	respectively	ADV
bibechana-4876	91	23	.	.	PUNCT
bibechana-4876	91	24	⟹	⟹	PUNCT
bibechana-4876	92	1	^	^	PUNCT
bibechana-4876	92	2	_	_	PUNCT
bibechana-4876	92	3	c	c	NOUN
bibechana-4876	92	4	de	de	ADP
bibechana-4876	92	5	√`h	√`h	ADJ
bibechana-4876	92	6	abe	abe	PROPN
bibechana-4876	92	7	c	c	PROPN
bibechana-4876	92	8	d0	d0	PROPN
bibechana-4876	92	9	�	�	PROPN
bibechana-4876	92	10	e	e	ADP
bibechana-4876	92	11	c	c	X
bibechana-4876	92	12	de	de	X
bibechana-4876	92	13	√`h	√`h	ADJ
bibechana-4876	92	14	f̃e	f̃e	NOUN
bibechana-4876	92	15	+	+	CCONJ
bibechana-4876	92	16	1	1	NUM
bibechana-4876	92	17	⟹	⟹	NUM
bibechana-4876	92	18	1	1	NUM
bibechana-4876	92	19	−	−	NOUN
bibechana-4876	92	20	8̃7	8̃7	NUM
bibechana-4876	93	1	≤	≤	PROPN
bibechana-4876	93	2	b	b	PROPN
bibechana-4876	93	3	ge	ge	PROPN
bibechana-4876	93	4	√5h	√5h	PROPN
bibechana-4876	93	5	for	for	ADP
bibechana-4876	93	6	all	all	DET
bibechana-4876	93	7	[	[	X
bibechana-4876	93	8	.	.	NOUN
bibechana-4876	93	9	⟹	⟹	PROPN
bibechana-4876	94	1	1	1	NUM
bibechana-4876	94	2	−	−	NUM
bibechana-4876	94	3	8̃:7v	8̃:7v	NUM
bibechana-4876	94	4	≤	≤	PROPN
bibechana-4876	95	1	b	b	X
bibechana-4876	95	2	ge	ge	PROPN
bibechana-4876	95	3	√5h	√5h	PROPN
bibechana-4876	95	4	⟹	⟹	PRON
bibechana-4876	95	5	∑	∑	PROPN
bibechana-4876	95	6	8̃h́	8̃h́	NUM
bibechana-4876	95	7	v	v	NUM
bibechana-4876	95	8	7	7	NUM
bibechana-4876	95	9	�	�	PROPN
bibechana-4876	95	10	�	�	PROPN
bibechana-4876	95	11	≤	≤	PROPN
bibechana-4876	95	12	b	b	PROPN
bibechana-4876	95	13	ge	ge	PROPN
bibechana-4876	95	14	√5h	√5h	X
bibechana-4876	95	15	,	,	PUNCT
bibechana-4876	95	16	8̃h́	8̃h́	NUM
bibechana-4876	95	17	≠	≠	PROPN
bibechana-4876	95	18	8̃:7v	8̃:7v	NUM
bibechana-4876	95	19	⟹	⟹	NUM
bibechana-4876	95	20	8̃	8̃	NOUN
bibechana-4876	95	21	:	:	PUNCT
bibechana-4876	95	22	;	;	PUNCT
bibechana-4876	95	23	<	<	X
bibechana-4876	95	24	≤	≤	X
bibechana-4876	95	25	∑	∑	PUNCT
bibechana-4876	95	26	8̃h́	8̃h́	NUM
bibechana-4876	95	27	v	v	NUM
bibechana-4876	95	28	7	7	NUM
bibechana-4876	95	29	�	�	PROPN
bibechana-4876	95	30	�	�	PROPN
bibechana-4876	95	31	≤	≤	PROPN
bibechana-4876	95	32	b	b	PROPN
bibechana-4876	95	33	ge	ge	PROPN
bibechana-4876	95	34	√5h	√5h	PROPN
bibechana-4876	95	35	⟹	⟹	NUM
bibechana-4876	95	36	1	1	NUM
bibechana-4876	95	37	−	−	PROPN
bibechana-4876	95	38	8̃	8̃	NOUN
bibechana-4876	95	39	:	:	PUNCT
bibechana-4876	95	40	;	;	PUNCT
bibechana-4876	95	41	<	<	X
bibechana-4876	95	42	≥	≥	NUM
bibechana-4876	95	43	1	1	NUM
bibechana-4876	95	44	−	−	PROPN
bibechana-4876	95	45	b	b	PROPN
bibechana-4876	95	46	ge	ge	PROPN
bibechana-4876	95	47	√5h	√5h	PROPN
bibechana-4876	95	48	.	.	PUNCT
bibechana-4876	96	1	then	then	ADV
bibechana-4876	96	2	,	,	PUNCT
bibechana-4876	96	3	1	1	NUM
bibechana-4876	96	4	−	−	PROPN
bibechana-4876	96	5	b	b	PROPN
bibechana-4876	96	6	ge	ge	PROPN
bibechana-4876	96	7	√5h	√5h	PROPN
bibechana-4876	96	8	≤	≤	NUM
bibechana-4876	96	9	1	1	NUM
bibechana-4876	96	10	−	−	PROPN
bibechana-4876	96	11	�	�	PROPN
bibechana-4876	96	12	ge	ge	PROPN
bibechana-4876	96	13	√5h	√5h	PROPN
bibechana-4876	96	14	⟹	⟹	PROPN
bibechana-4876	96	15	de	de	PROPN
bibechana-4876	96	16	w	w	PROPN
bibechana-4876	96	17	≤	≤	NUM
bibechana-4876	96	18	√5h	√5h	NUM
bibechana-4876	96	19	.	.	PUNCT
bibechana-4876	97	1	this	this	PRON
bibechana-4876	97	2	shows	show	VERB
bibechana-4876	97	3	that	that	SCONJ
bibechana-4876	97	4	any	any	DET
bibechana-4876	97	5	instance	instance	NOUN
bibechana-4876	97	6	with	with	ADP
bibechana-4876	97	7	the	the	DET
bibechana-4876	97	8	bottleneck	bottleneck	NOUN
bibechana-4876	97	9	less	less	ADJ
bibechana-4876	97	10	than	than	ADP
bibechana-4876	97	11	(	(	PUNCT
bibechana-4876	97	12	ge	ge	PROPN
bibechana-4876	97	13	�	�	PROPN
bibechana-4876	97	14	):	):	PUNCT
bibechana-4876	97	15	does	do	AUX
bibechana-4876	97	16	not	not	PART
bibechana-4876	97	17	yield	yield	VERB
bibechana-4876	97	18	any	any	DET
bibechana-4876	97	19	feasible	feasible	ADJ
bibechana-4876	97	20	sequence	sequence	NOUN
bibechana-4876	97	21	.	.	PUNCT
bibechana-4876	98	1	for	for	ADP
bibechana-4876	98	2	any	any	DET
bibechana-4876	98	3	feasible	feasible	ADJ
bibechana-4876	98	4	solution	solution	NOUN
bibechana-4876	98	5	,	,	PUNCT
bibechana-4876	98	6	(	(	PUNCT
bibechana-4876	98	7	67|[kf̃e]0kf̃e|	67|[kf̃e]0kf̃e|	NUM
bibechana-4876	98	8	):	):	PUNCT
bibechana-4876	98	9	≤	≤	NUM
bibechana-4876	98	10	(	(	PUNCT
bibechana-4876	98	11	67|<	67|<	NUM
bibechana-4876	98	12	�	�	X
bibechana-4876	98	13	el0kf̃e|	el0kf̃e|	NOUN
bibechana-4876	98	14	):	):	PUNCT
bibechana-4876	98	15	,	,	PUNCT
bibechana-4876	98	16	[	[	PUNCT
bibechana-4876	98	17	=	=	NOUN
bibechana-4876	98	18	1	1	NUM
bibechana-4876	98	19	,	,	PUNCT
bibechana-4876	98	20	.	.	PUNCT
bibechana-4876	98	21	.	.	PUNCT
bibechana-4876	98	22	.	.	PUNCT
bibechana-4876	99	1	,	,	PUNCT
bibechana-4876	99	2	x	x	X
bibechana-4876	99	3	,	,	PUNCT
bibechana-4876	99	4	where	where	SCONJ
bibechana-4876	99	5	[	[	X
bibechana-4876	99	6	a8̃7	a8̃7	NOUN
bibechana-4876	99	7	]	]	PUNCT
bibechana-4876	99	8	is	be	AUX
bibechana-4876	99	9	the	the	DET
bibechana-4876	99	10	closest	close	ADJ
bibechana-4876	99	11	integer	integer	NOUN
bibechana-4876	99	12	to	to	ADP
bibechana-4876	99	13	a8̃7	a8̃7	NOUN
bibechana-4876	99	14	.	.	PUNCT
bibechana-4876	100	1	it	it	PRON
bibechana-4876	100	2	is	be	AUX
bibechana-4876	100	3	observed	observe	VERB
bibechana-4876	100	4	that	that	SCONJ
bibechana-4876	100	5	|[a8̃7	|[a8̃7	ADP
bibechana-4876	100	6	]	]	PUNCT
bibechana-4876	100	7	−	−	PUNCT
bibechana-4876	100	8	a8̃7|	a8̃7|	NOUN
bibechana-4876	101	1	=	=	PUNCT
bibechana-4876	101	2	c	c	NOUN
bibechana-4876	101	3	m	m	VERB
bibechana-4876	101	4	if	if	SCONJ
bibechana-4876	101	5	�	�	PROPN
bibechana-4876	101	6	is	be	AUX
bibechana-4876	101	7	even	even	ADV
bibechana-4876	101	8	and	and	CCONJ
bibechana-4876	101	9	|[a8̃7	|[a8̃7	ADP
bibechana-4876	101	10	]	]	PUNCT
bibechana-4876	101	11	−	−	NUM
bibechana-4876	101	12	a8̃7|	a8̃7|	NOUN
bibechana-4876	101	13	=	=	SYM
bibechana-4876	101	14	�	�	NOUN
bibechana-4876	101	15	_	_	PROPN
bibechana-4876	101	16	c	c	NOUN
bibechana-4876	101	17	m	m	VERB
bibechana-4876	101	18	�	�	PROPN
bibechana-4876	101	19	if	if	SCONJ
bibechana-4876	101	20	�	�	PROPN
bibechana-4876	101	21	is	be	AUX
bibechana-4876	101	22	odd	odd	ADJ
bibechana-4876	101	23	[	[	X
bibechana-4876	101	24	1	1	NUM
bibechana-4876	101	25	]	]	PUNCT
bibechana-4876	101	26	.	.	PUNCT
bibechana-4876	102	1	this	this	PRON
bibechana-4876	102	2	shows	show	VERB
bibechana-4876	102	3	that	that	SCONJ
bibechana-4876	102	4	any	any	DET
bibechana-4876	102	5	instance	instance	NOUN
bibechana-4876	102	6	,	,	PUNCT
bibechana-4876	102	7	x	x	X
bibechana-4876	102	8	≥	≥	NOUN
bibechana-4876	102	9	2	2	NUM
bibechana-4876	102	10	,	,	PUNCT
bibechana-4876	102	11	with	with	ADP
bibechana-4876	102	12	even	even	ADV
bibechana-4876	102	13	�	�	PROPN
bibechana-4876	102	14	of	of	ADP
bibechana-4876	102	15	the	the	DET
bibechana-4876	102	16	problem	problem	NOUN
bibechana-4876	102	17	has	have	VERB
bibechana-4876	102	18	lower	low	ADJ
bibechana-4876	102	19	bottleneck	bottleneck	NOUN
bibechana-4876	102	20	(	(	PUNCT
bibechana-4876	102	21	de	de	NOUN
bibechana-4876	102	22	m	m	PROPN
bibechana-4876	102	23	):	):	PUNCT
bibechana-4876	102	24	and	and	CCONJ
bibechana-4876	102	25	has	have	VERB
bibechana-4876	102	26	lower	low	ADJ
bibechana-4876	102	27	bottleneck	bottleneck	NOUN
bibechana-4876	102	28	(	(	PUNCT
bibechana-4876	102	29	de	de	PROPN
bibechana-4876	102	30	w	w	PROPN
bibechana-4876	102	31	):	):	PUNCT
bibechana-4876	102	32	for	for	ADP
bibechana-4876	102	33	the	the	DET
bibechana-4876	102	34	instance	instance	NOUN
bibechana-4876	102	35	,	,	PUNCT
bibechana-4876	102	36	x	x	X
bibechana-4876	102	37	≥	≥	NOUN
bibechana-4876	102	38	2	2	NUM
bibechana-4876	102	39	,	,	PUNCT
bibechana-4876	102	40	with	with	ADP
bibechana-4876	102	41	odd	odd	ADJ
bibechana-4876	102	42	�	�	PROPN
bibechana-4876	102	43	.	.	PUNCT
bibechana-4876	103	1	for	for	ADP
bibechana-4876	103	2	x	x	X
bibechana-4876	103	3	≥	≥	NOUN
bibechana-4876	103	4	2	2	NUM
bibechana-4876	103	5	,	,	PUNCT
bibechana-4876	103	6	a	a	DET
bibechana-4876	103	7	standard	standard	ADJ
bibechana-4876	103	8	instance	instance	NOUN
bibechana-4876	103	9	(	(	PUNCT
bibechana-4876	103	10	1	1	NUM
bibechana-4876	103	11	,	,	PUNCT
bibechana-4876	103	12	2	2	NUM
bibechana-4876	103	13	,	,	PUNCT
bibechana-4876	103	14	2b	2b	NOUN
bibechana-4876	103	15	,	,	PUNCT
bibechana-4876	103	16	.	.	PUNCT
bibechana-4876	103	17	.	.	PUNCT
bibechana-4876	103	18	.	.	PUNCT
bibechana-4876	104	1	,	,	PUNCT
bibechana-4876	104	2	270	270	NUM
bibechana-4876	104	3	�	�	NOUN
bibechana-4876	104	4	)	)	PUNCT
bibechana-4876	104	5	,	,	PUNCT
bibechana-4876	105	1	[	[	PUNCT
bibechana-4876	105	2	=	=	NOUN
bibechana-4876	105	3	1	1	NUM
bibechana-4876	105	4	,	,	PUNCT
bibechana-4876	105	5	.	.	PUNCT
bibechana-4876	105	6	.	.	PUNCT
bibechana-4876	105	7	.	.	PUNCT
bibechana-4876	106	1	,	,	PUNCT
bibechana-4876	106	2	x	x	X
bibechana-4876	106	3	,	,	PUNCT
bibechana-4876	106	4	has	have	VERB
bibechana-4876	106	5	optimal	optimal	ADJ
bibechana-4876	106	6	sequence	sequence	NOUN
bibechana-4876	106	7	with	with	ADP
bibechana-4876	106	8	bottleneck	bottleneck	NOUN
bibechana-4876	106	9	less	less	ADJ
bibechana-4876	106	10	than	than	ADP
bibechana-4876	106	11	(	(	PUNCT
bibechana-4876	106	12	de	de	X
bibechana-4876	106	13	m	m	PRON
bibechana-4876	106	14	):	):	PUNCT
bibechana-4876	107	1	[	[	X
bibechana-4876	107	2	2	2	NUM
bibechana-4876	107	3	]	]	PUNCT
bibechana-4876	107	4	.	.	PUNCT
bibechana-4876	108	1	theorem	theorem	VERB
bibechana-4876	108	2	4	4	NUM
bibechana-4876	108	3	the	the	DET
bibechana-4876	108	4	instance	instance	NOUN
bibechana-4876	108	5	(	(	PUNCT
bibechana-4876	108	6	1	1	NUM
bibechana-4876	108	7	,	,	PUNCT
bibechana-4876	108	8	2	2	NUM
bibechana-4876	108	9	,	,	PUNCT
bibechana-4876	108	10	2b	2b	NOUN
bibechana-4876	108	11	,	,	PUNCT
bibechana-4876	108	12	.	.	PUNCT
bibechana-4876	108	13	.	.	PUNCT
bibechana-4876	109	1	.	.	PUNCT
bibechana-4876	110	1	,	,	PUNCT
bibechana-4876	110	2	270	270	NUM
bibechana-4876	110	3	�	�	NOUN
bibechana-4876	110	4	)	)	PUNCT
bibechana-4876	110	5	,	,	PUNCT
bibechana-4876	111	1	[	[	PUNCT
bibechana-4876	111	2	=	=	NOUN
bibechana-4876	111	3	1	1	NUM
bibechana-4876	111	4	,	,	PUNCT
bibechana-4876	111	5	.	.	PUNCT
bibechana-4876	111	6	.	.	PUNCT
bibechana-4876	111	7	.	.	PUNCT
bibechana-4876	112	1	,	,	PUNCT
bibechana-4876	112	2	x	x	X
bibechana-4876	112	3	,	,	PUNCT
bibechana-4876	112	4	x	x	X
bibechana-4876	112	5	≥	≥	NUM
bibechana-4876	112	6	2	2	NUM
bibechana-4876	112	7	has	have	VERB
bibechana-4876	112	8	an	an	DET
bibechana-4876	112	9	optimal	optimal	ADJ
bibechana-4876	112	10	sequence	sequence	NOUN
bibechana-4876	112	11	with	with	ADP
bibechana-4876	112	12	5	5	NUM
bibechana-4876	112	13	<	<	X
bibechana-4876	112	14	(	(	PUNCT
bibechana-4876	112	15	de	de	X
bibechana-4876	112	16	m	m	PROPN
bibechana-4876	112	17	):	):	PUNCT
bibechana-4876	112	18	.	.	PUNCT
bibechana-4876	113	1	shree	shree	PROPN
bibechana-4876	113	2	ram	ram	PROPN
bibechana-4876	113	3	khadka	khadka	PROPN
bibechana-4876	113	4	/	/	SYM
bibechana-4876	113	5	bibechana	bibechana	PROPN
bibechana-4876	113	6	8	8	NUM
bibechana-4876	113	7	(	(	PUNCT
bibechana-4876	113	8	2012	2012	NUM
bibechana-4876	113	9	)	)	PUNCT
bibechana-4876	113	10	53	53	NUM
bibechana-4876	113	11	-	-	SYM
bibechana-4876	113	12	58	58	NUM
bibechana-4876	113	13	:	:	PUNCT
bibechana-4876	113	14	bmhss	bmhss	PROPN
bibechana-4876	113	15	,	,	PUNCT
bibechana-4876	113	16	p.57	p.57	PROPN
bibechana-4876	113	17	proof	proof	NOUN
bibechana-4876	113	18	:	:	PUNCT
bibechana-4876	113	19	we	we	PRON
bibechana-4876	113	20	consider	consider	VERB
bibechana-4876	113	21	the	the	DET
bibechana-4876	113	22	bottleneck	bottleneck	NOUN
bibechana-4876	113	23	5	5	NUM
bibechana-4876	113	24	=	=	SYM
bibechana-4876	113	25	(	(	PUNCT
bibechana-4876	113	26	67(c	67(c	NUM
bibechana-4876	113	27	m	m	VERB
bibechana-4876	113	28	−	−	PROPN
bibechana-4876	113	29	c	c	PROPN
bibechana-4876	113	30	m	m	PROPN
bibechana-4876	113	31	�	�	PROPN
bibechana-4876	113	32	)	)	PUNCT
bibechana-4876	113	33	):	):	PUNCT
bibechana-4876	113	34	and	and	CCONJ
bibechana-4876	113	35	assume	assume	VERB
bibechana-4876	113	36	that	that	SCONJ
bibechana-4876	113	37	(	(	PUNCT
bibechana-4876	113	38	[	[	X
bibechana-4876	113	39	,	,	PUNCT
bibechana-4876	113	40	\	\	AUX
bibechana-4876	113	41	)	)	PUNCT
bibechana-4876	113	42	be	be	AUX
bibechana-4876	113	43	sequenced	sequence	VERB
bibechana-4876	113	44	in	in	ADP
bibechana-4876	113	45	the	the	DET
bibechana-4876	113	46	ideal	ideal	ADJ
bibechana-4876	113	47	position	position	NOUN
bibechana-4876	113	48	om^_c	om^_c	PROPN
bibechana-4876	113	49	mabe	mabe	ADJ
bibechana-4876	113	50	p.	p.	NOUN
bibechana-4876	113	51	for	for	ADP
bibechana-4876	113	52	this	this	DET
bibechana-4876	113	53	instance	instance	NOUN
bibechana-4876	113	54	,	,	PUNCT
bibechana-4876	113	55	5	5	NUM
bibechana-4876	113	56	=	=	SYM
bibechana-4876	113	57	(	(	PUNCT
bibechana-4876	113	58	67(mn_c_c	67(mn_c_c	NOUN
bibechana-4876	113	59	mn_c	mn_c	PROPN
bibechana-4876	113	60	)	)	PUNCT
bibechana-4876	113	61	):	):	PUNCT
bibechana-4876	114	1	<	<	X
bibechana-4876	114	2	(	(	PUNCT
bibechana-4876	114	3	de	de	X
bibechana-4876	114	4	m	m	PROPN
bibechana-4876	114	5	):	):	PUNCT
bibechana-4876	114	6	and	and	CCONJ
bibechana-4876	114	7	om^_c	om^_c	PROPN
bibechana-4876	114	8	mabe	mabe	NOUN
bibechana-4876	114	9	p	p	NOUN
bibechana-4876	114	10	=	=	NOUN
bibechana-4876	114	11	2v07(2\	2v07(2\	NUM
bibechana-4876	114	12	−	−	NOUN
bibechana-4876	114	13	1	1	NUM
bibechana-4876	114	14	)	)	PUNCT
bibechana-4876	114	15	,	,	PUNCT
bibechana-4876	114	16	[	[	PUNCT
bibechana-4876	114	17	=	=	NOUN
bibechana-4876	114	18	1	1	NUM
bibechana-4876	114	19	,	,	PUNCT
bibechana-4876	114	20	.	.	PUNCT
bibechana-4876	114	21	.	.	PUNCT
bibechana-4876	114	22	.	.	PUNCT
bibechana-4876	114	23	,	,	PUNCT
bibechana-4876	115	1	x	x	X
bibechana-4876	115	2	;	;	PUNCT
bibechana-4876	115	3	\	\	NOUN
bibechana-4876	115	4	=	=	SYM
bibechana-4876	115	5	1	1	NUM
bibechana-4876	115	6	,	,	PUNCT
bibechana-4876	115	7	.	.	PUNCT
bibechana-4876	115	8	.	.	PUNCT
bibechana-4876	116	1	.	.	PUNCT
bibechana-4876	117	1	,	,	PUNCT
bibechana-4876	117	2	pq7	pq7	X
bibechana-4876	117	3	.	.	PUNCT
bibechana-4876	118	1	we	we	PRON
bibechana-4876	118	2	show	show	VERB
bibechana-4876	118	3	that	that	SCONJ
bibechana-4876	118	4	the	the	DET
bibechana-4876	118	5	instance	instance	NOUN
bibechana-4876	118	6	has	have	VERB
bibechana-4876	118	7	a	a	DET
bibechana-4876	118	8	feasible	feasible	ADJ
bibechana-4876	118	9	sequence	sequence	NOUN
bibechana-4876	118	10	with	with	ADP
bibechana-4876	118	11	this	this	DET
bibechana-4876	118	12	bottleneck	bottleneck	NOUN
bibechana-4876	118	13	.	.	PUNCT
bibechana-4876	119	1	consider	consider	VERB
bibechana-4876	119	2	,	,	PUNCT
bibechana-4876	119	3	d0	d0	PROPN
bibechana-4876	119	4	c	c	NOUN
bibechana-4876	119	5	de	de	ADP
bibechana-4876	119	6	√`h	√`h	ADJ
bibechana-4876	119	7	f̃e	f̃e	NOUN
bibechana-4876	119	8	=	=	NOUN
bibechana-4876	119	9	^_mn_c_c	^_mn_c_c	PUNCT
bibechana-4876	119	10	mn_c	mn_c	NUM
bibechana-4876	119	11	me_c	me_c	NOUN
bibechana-4876	119	12	mn_c	mn_c	NOUN
bibechana-4876	119	13	=	=	PUNCT
bibechana-4876	120	1	2v07(2\	2v07(2\	NUM
bibechana-4876	120	2	−	−	NOUN
bibechana-4876	120	3	1	1	NUM
bibechana-4876	120	4	)	)	PUNCT
bibechana-4876	120	5	+	+	CCONJ
bibechana-4876	120	6	c_(m^_c	c_(m^_c	X
bibechana-4876	120	7	)	)	PUNCT
bibechana-4876	120	8	me	i	PRON
bibechana-4876	120	9	≤	≤	ADJ
bibechana-4876	120	10	2v07(2\	2v07(2\	NUM
bibechana-4876	120	11	−	−	PROPN
bibechana-4876	120	12	1	1	NUM
bibechana-4876	120	13	)	)	PUNCT
bibechana-4876	120	14	=	=	SYM
bibechana-4876	120	15	d0	d0	PROPN
bibechana-4876	120	16	�	�	PROPN
bibechana-4876	120	17	emn_c_c	emn_c_c	NOUN
bibechana-4876	120	18	mn_c	mn_c	NOUN
bibechana-4876	120	19	me_c	me_c	NOUN
bibechana-4876	121	1	mn_c	mn_c	NOUN
bibechana-4876	122	1	+	+	CCONJ
bibechana-4876	122	2	1	1	NUM
bibechana-4876	122	3	=	=	SYM
bibechana-4876	122	4	^_cr	^_cr	NUM
bibechana-4876	122	5	c	c	NOUN
bibechana-4876	122	6	de	de	ADP
bibechana-4876	122	7	√`h	√`h	VERB
bibechana-4876	122	8	abe	abe	NOUN
bibechana-4876	122	9	e	e	SYM
bibechana-4876	122	10	�	�	PROPN
bibechana-4876	122	11	one	one	PRON
bibechana-4876	122	12	can	can	AUX
bibechana-4876	122	13	write	write	VERB
bibechana-4876	122	14	z3	z3	PROPN
bibechana-4876	122	15	:(	:(	PROPN
bibechana-4876	123	1	[	[	X
bibechana-4876	123	2	,	,	PUNCT
bibechana-4876	123	3	\	\	ADJ
bibechana-4876	123	4	)	)	PUNCT
bibechana-4876	123	5	≤	≤	NOUN
bibechana-4876	123	6	2v07(2\	2v07(2\	NUM
bibechana-4876	123	7	−	−	PROPN
bibechana-4876	123	8	1	1	NUM
bibechana-4876	123	9	)	)	PUNCT
bibechana-4876	123	10	≤	≤	NOUN
bibechana-4876	123	11	]	]	PUNCT
bibechana-4876	123	12	3	3	X
bibechana-4876	123	13	:(	:(	PROPN
bibechana-4876	124	1	[	[	X
bibechana-4876	124	2	,	,	PUNCT
bibechana-4876	124	3	\	\	PROPN
bibechana-4876	124	4	)	)	PUNCT
bibechana-4876	124	5	,	,	PUNCT
bibechana-4876	124	6	since	since	SCONJ
bibechana-4876	124	7	2v07(2\	2v07(2\	NUM
bibechana-4876	124	8	−	−	PROPN
bibechana-4876	124	9	1	1	NUM
bibechana-4876	124	10	)	)	PUNCT
bibechana-4876	124	11	is	be	AUX
bibechana-4876	124	12	an	an	DET
bibechana-4876	124	13	integer	integer	NOUN
bibechana-4876	124	14	.	.	PUNCT
bibechana-4876	125	1	thus	thus	ADV
bibechana-4876	125	2	,	,	PUNCT
bibechana-4876	125	3	the	the	DET
bibechana-4876	125	4	instance	instance	NOUN
bibechana-4876	125	5	has	have	VERB
bibechana-4876	125	6	a	a	DET
bibechana-4876	125	7	feasible	feasible	ADJ
bibechana-4876	125	8	sequence	sequence	NOUN
bibechana-4876	125	9	to	to	ADP
bibechana-4876	125	10	the	the	DET
bibechana-4876	125	11	problem	problem	NOUN
bibechana-4876	125	12	.	.	PUNCT
bibechana-4876	126	1	now	now	ADV
bibechana-4876	126	2	,	,	PUNCT
bibechana-4876	126	3	we	we	PRON
bibechana-4876	126	4	show	show	VERB
bibechana-4876	126	5	that	that	SCONJ
bibechana-4876	126	6	(	(	PUNCT
bibechana-4876	126	7	[	[	X
bibechana-4876	126	8	,	,	PUNCT
bibechana-4876	126	9	\	\	NOUN
bibechana-4876	126	10	)	)	PUNCT
bibechana-4876	126	11	does	do	AUX
bibechana-4876	126	12	not	not	PART
bibechana-4876	126	13	compete	compete	VERB
bibechana-4876	126	14	with	with	ADP
bibechana-4876	126	15	(	(	PUNCT
bibechana-4876	126	16	ś	ś	ADJ
bibechana-4876	126	17	,	,	PUNCT
bibechana-4876	126	18	t́	t́	NOUN
bibechana-4876	126	19	)	)	PUNCT
bibechana-4876	126	20	with	with	ADP
bibechana-4876	126	21	[	[	PUNCT
bibechana-4876	126	22	≠	≠	PROPN
bibechana-4876	126	23	ś	ś	PROPN
bibechana-4876	126	24	and	and	CCONJ
bibechana-4876	126	25	j	j	PROPN
bibechana-4876	126	26	≠	≠	PROPN
bibechana-4876	126	27	t́.	t́.	NOUN
bibechana-4876	126	28	assume	assume	VERB
bibechana-4876	126	29	that	that	SCONJ
bibechana-4876	126	30	(	(	PUNCT
bibechana-4876	126	31	[	[	X
bibechana-4876	126	32	,	,	PUNCT
bibechana-4876	126	33	\	\	ADJ
bibechana-4876	126	34	)	)	PUNCT
bibechana-4876	126	35	and	and	CCONJ
bibechana-4876	126	36	(	(	PUNCT
bibechana-4876	126	37	ś	ś	ADJ
bibechana-4876	126	38	,	,	PUNCT
bibechana-4876	126	39	t́	t́	PROPN
bibechana-4876	126	40	)	)	PUNCT
bibechana-4876	126	41	be	be	AUX
bibechana-4876	126	42	sequenced	sequence	VERB
bibechana-4876	126	43	at	at	ADP
bibechana-4876	126	44	the	the	DET
bibechana-4876	126	45	same	same	ADJ
bibechana-4876	126	46	position	position	NOUN
bibechana-4876	126	47	.	.	PUNCT
bibechana-4876	127	1	⟹	⟹	X
bibechana-4876	128	1	om^_c	om^_c	NOUN
bibechana-4876	128	2	mabe	mabe	NOUN
bibechana-4876	128	3	p	p	NOUN
bibechana-4876	128	4	=	=	PUNCT
bibechana-4876	128	5	omú_c	omú_c	NOUN
bibechana-4876	128	6	mabv́	mabv́	NOUN
bibechana-4876	128	7	p	p	X
bibechana-4876	128	8	⟹	⟹	PROPN
bibechana-4876	128	9	o(m^_c)(mn_c	o(m^_c)(mn_c	PROPN
bibechana-4876	128	10	)	)	PUNCT
bibechana-4876	128	11	me	i	PRON
bibechana-4876	128	12	p	p	X
bibechana-4876	128	13	=	=	NOUN
bibechana-4876	128	14	o(mú_c)(mn_c	o(mú_c)(mn_c	X
bibechana-4876	128	15	)	)	PUNCT
bibechana-4876	128	16	mv́	mv́	NOUN
bibechana-4876	128	17	p	p	X
bibechana-4876	128	18	,	,	PUNCT
bibechana-4876	128	19	for	for	ADP
bibechana-4876	128	20	pq7	pq7	NOUN
bibechana-4876	128	21	=	=	SYM
bibechana-4876	128	22	270	270	NUM
bibechana-4876	128	23	�	�	PROPN
bibechana-4876	128	24	,	,	PUNCT
bibechana-4876	128	25	[	[	PUNCT
bibechana-4876	128	26	=	=	NOUN
bibechana-4876	128	27	1	1	NUM
bibechana-4876	128	28	,	,	PUNCT
bibechana-4876	128	29	.	.	PUNCT
bibechana-4876	128	30	.	.	PUNCT
bibechana-4876	128	31	.	.	PUNCT
bibechana-4876	129	1	,	,	PUNCT
bibechana-4876	129	2	x.	x.	NOUN
bibechana-4876	129	3	⟹	⟹	PROPN
bibechana-4876	130	1	q(2\	q(2\	VERB
bibechana-4876	130	2	−	−	PROPN
bibechana-4876	130	3	1)2v07	1)2v07	NUM
bibechana-4876	131	1	−	−	PROPN
bibechana-4876	132	1	(	(	PUNCT
bibechana-4876	132	2	2\	2\	NUM
bibechana-4876	132	3	−	−	PROPN
bibechana-4876	132	4	1)207r	1)207r	PROPN
bibechana-4876	132	5	=	=	SYM
bibechana-4876	132	6	q(2t́	q(2t́	PROPN
bibechana-4876	132	7	−	−	PRON
bibechana-4876	132	8	1)2v0h́	1)2v0h́	NUM
bibechana-4876	132	9	−	−	NOUN
bibechana-4876	132	10	(	(	PUNCT
bibechana-4876	132	11	2t́	2t́	NUM
bibechana-4876	132	12	−	−	PROPN
bibechana-4876	132	13	1)20h́r	1)20h́r	NUM
bibechana-4876	132	14	.	.	PUNCT
bibechana-4876	132	15	⟹	⟹	PROPN
bibechana-4876	133	1	mú_c	mú_c	PROPN
bibechana-4876	133	2	mv́	mv́	NOUN
bibechana-4876	133	3	=	=	SYM
bibechana-4876	133	4	bẃ0	bẃ0	PROPN
bibechana-4876	133	5	�	�	PROPN
bibechana-4876	133	6	bv́	bv́	PROPN
bibechana-4876	133	7	since	since	SCONJ
bibechana-4876	133	8	both	both	DET
bibechana-4876	133	9	(	(	PUNCT
bibechana-4876	133	10	2\	2\	NOUN
bibechana-4876	133	11	−	−	NOUN
bibechana-4876	133	12	1	1	NUM
bibechana-4876	133	13	)	)	PUNCT
bibechana-4876	133	14	and	and	CCONJ
bibechana-4876	133	15	(	(	PUNCT
bibechana-4876	133	16	2t́	2t́	NUM
bibechana-4876	133	17	−	−	NOUN
bibechana-4876	133	18	1	1	NUM
bibechana-4876	133	19	)	)	PUNCT
bibechana-4876	133	20	are	be	AUX
bibechana-4876	133	21	odd	odd	ADJ
bibechana-4876	133	22	,	,	PUNCT
bibechana-4876	133	23	neither	neither	CCONJ
bibechana-4876	133	24	27	27	NUM
bibechana-4876	133	25	divides	divide	NOUN
bibechana-4876	133	26	(	(	PUNCT
bibechana-4876	133	27	2\	2\	NOUN
bibechana-4876	133	28	−	−	NOUN
bibechana-4876	133	29	1	1	NUM
bibechana-4876	133	30	)	)	PUNCT
bibechana-4876	133	31	nor	nor	CCONJ
bibechana-4876	133	32	2h́	2h́	NUM
bibechana-4876	133	33	divides	divide	NOUN
bibechana-4876	133	34	(	(	PUNCT
bibechana-4876	133	35	2t́	2t́	NUM
bibechana-4876	133	36	−	−	NOUN
bibechana-4876	133	37	1	1	NUM
bibechana-4876	133	38	)	)	PUNCT
bibechana-4876	133	39	.	.	PUNCT
bibechana-4876	134	1	this	this	PRON
bibechana-4876	134	2	implies	imply	VERB
bibechana-4876	134	3	[	[	PUNCT
bibechana-4876	134	4	=	=	SYM
bibechana-4876	134	5	ś	ś	ADJ
bibechana-4876	134	6	and	and	CCONJ
bibechana-4876	134	7	=	=	SYM
bibechana-4876	134	8	t́	t́	PROPN
bibechana-4876	134	9	.	.	PUNCT
bibechana-4876	135	1	thus	thus	ADV
bibechana-4876	135	2	,	,	PUNCT
bibechana-4876	135	3	the	the	DET
bibechana-4876	135	4	copies	copy	NOUN
bibechana-4876	135	5	do	do	AUX
bibechana-4876	135	6	not	not	PART
bibechana-4876	135	7	compete	compete	VERB
bibechana-4876	135	8	one	one	NUM
bibechana-4876	135	9	another	another	DET
bibechana-4876	135	10	for	for	ADP
bibechana-4876	135	11	the	the	DET
bibechana-4876	135	12	position	position	NOUN
bibechana-4876	135	13	.	.	PUNCT
bibechana-4876	136	1	a	a	DET
bibechana-4876	136	2	feasible	feasible	ADJ
bibechana-4876	136	3	sequence	sequence	NOUN
bibechana-4876	136	4	of	of	ADP
bibechana-4876	136	5	which	which	PRON
bibechana-4876	136	6	the	the	DET
bibechana-4876	136	7	copies	copy	NOUN
bibechana-4876	136	8	do	do	AUX
bibechana-4876	136	9	not	not	PART
bibechana-4876	136	10	compete	compete	VERB
bibechana-4876	136	11	one	one	NUM
bibechana-4876	136	12	another	another	DET
bibechana-4876	136	13	for	for	ADP
bibechana-4876	136	14	the	the	DET
bibechana-4876	136	15	position	position	NOUN
bibechana-4876	136	16	is	be	AUX
bibechana-4876	136	17	optimal	optimal	ADJ
bibechana-4876	136	18	.	.	PUNCT
bibechana-4876	137	1	5	5	X
bibechana-4876	137	2	.	.	X
bibechana-4876	137	3	conclusion	conclusion	NOUN
bibechana-4876	137	4	establishment	establishment	NOUN
bibechana-4876	137	5	of	of	ADP
bibechana-4876	137	6	bottlenecks	bottleneck	NOUN
bibechana-4876	137	7	is	be	AUX
bibechana-4876	137	8	important	important	ADJ
bibechana-4876	137	9	to	to	ADP
bibechana-4876	137	10	the	the	DET
bibechana-4876	137	11	optimization	optimization	NOUN
bibechana-4876	137	12	problem	problem	NOUN
bibechana-4876	137	13	since	since	SCONJ
bibechana-4876	137	14	the	the	DET
bibechana-4876	137	15	bottlenecks	bottleneck	NOUN
bibechana-4876	137	16	guaranty	guaranty	VERB
bibechana-4876	137	17	whether	whether	SCONJ
bibechana-4876	137	18	the	the	DET
bibechana-4876	137	19	optimal	optimal	ADJ
bibechana-4876	137	20	or	or	CCONJ
bibechana-4876	137	21	feasible	feasible	ADJ
bibechana-4876	137	22	solution	solution	NOUN
bibechana-4876	137	23	exists	exist	VERB
bibechana-4876	137	24	or	or	CCONJ
bibechana-4876	137	25	not	not	PART
bibechana-4876	137	26	.	.	PUNCT
bibechana-4876	138	1	it	it	PRON
bibechana-4876	138	2	is	be	AUX
bibechana-4876	138	3	clear	clear	ADJ
bibechana-4876	138	4	that	that	SCONJ
bibechana-4876	138	5	there	there	PRON
bibechana-4876	138	6	exists	exist	VERB
bibechana-4876	138	7	no	no	DET
bibechana-4876	138	8	even	even	ADV
bibechana-4876	138	9	feasible	feasible	ADJ
bibechana-4876	138	10	solution	solution	NOUN
bibechana-4876	138	11	below	below	ADP
bibechana-4876	138	12	the	the	DET
bibechana-4876	138	13	lower	low	ADJ
bibechana-4876	138	14	bottleneck	bottleneck	NOUN
bibechana-4876	138	15	and	and	CCONJ
bibechana-4876	138	16	every	every	DET
bibechana-4876	138	17	instance	instance	NOUN
bibechana-4876	138	18	has	have	VERB
bibechana-4876	138	19	optimal	optimal	ADJ
bibechana-4876	138	20	solution	solution	NOUN
bibechana-4876	138	21	below	below	ADP
bibechana-4876	138	22	the	the	DET
bibechana-4876	138	23	upper	upper	ADJ
bibechana-4876	138	24	one	one	NOUN
bibechana-4876	138	25	.	.	PUNCT
bibechana-4876	139	1	the	the	DET
bibechana-4876	139	2	lower	low	ADJ
bibechana-4876	139	3	and	and	CCONJ
bibechana-4876	139	4	the	the	DET
bibechana-4876	139	5	upper	upper	ADJ
bibechana-4876	139	6	bottlenecks	bottleneck	NOUN
bibechana-4876	139	7	to	to	ADP
bibechana-4876	139	8	the	the	DET
bibechana-4876	139	9	problem	problem	NOUN
bibechana-4876	139	10	has	have	AUX
bibechana-4876	139	11	been	be	AUX
bibechana-4876	139	12	established	establish	VERB
bibechana-4876	139	13	to	to	PART
bibechana-4876	139	14	be	be	AUX
bibechana-4876	139	15	(	(	PUNCT
bibechana-4876	139	16	67(1	67(1	NUM
bibechana-4876	139	17	−	−	NOUN
bibechana-4876	139	18	8̃	8̃	NOUN
bibechana-4876	139	19	:	:	PUNCT
bibechana-4876	139	20	;	;	PUNCT
bibechana-4876	139	21	<	<	X
bibechana-4876	139	22	)	)	PUNCT
bibechana-4876	139	23	):	):	PUNCT
bibechana-4876	139	24	and	and	CCONJ
bibechana-4876	139	25	(	(	PUNCT
bibechana-4876	139	26	67(1	67(1	NOUN
bibechana-4876	139	27	−	−	NOUN
bibechana-4876	139	28	c	c	PROPN
bibechana-4876	139	29	�	�	PROPN
bibechana-4876	139	30	)	)	PUNCT
bibechana-4876	139	31	):	):	PUNCT
bibechana-4876	139	32	,	,	PUNCT
bibechana-4876	139	33	respectively	respectively	ADV
bibechana-4876	139	34	.	.	PUNCT
bibechana-4876	140	1	it	it	PRON
bibechana-4876	140	2	has	have	AUX
bibechana-4876	140	3	been	be	AUX
bibechana-4876	140	4	investigated	investigate	VERB
bibechana-4876	140	5	that	that	SCONJ
bibechana-4876	140	6	the	the	DET
bibechana-4876	140	7	only	only	ADJ
bibechana-4876	140	8	instance	instance	NOUN
bibechana-4876	140	9	with	with	ADP
bibechana-4876	140	10	optimality	optimality	NOUN
bibechana-4876	140	11	for	for	ADP
bibechana-4876	140	12	the	the	DET
bibechana-4876	140	13	bottleneck	bottleneck	NOUN
bibechana-4876	140	14	less	less	ADJ
bibechana-4876	140	15	than	than	ADP
bibechana-4876	140	16	(	(	PUNCT
bibechana-4876	140	17	de	de	X
bibechana-4876	140	18	m	m	PROPN
bibechana-4876	140	19	):	):	PUNCT
bibechana-4876	140	20	is	be	AUX
bibechana-4876	140	21	(	(	PUNCT
bibechana-4876	140	22	1	1	NUM
bibechana-4876	140	23	,	,	PUNCT
bibechana-4876	140	24	2	2	NUM
bibechana-4876	140	25	,	,	PUNCT
bibechana-4876	140	26	2b	2b	NOUN
bibechana-4876	140	27	,	,	PUNCT
bibechana-4876	140	28	.	.	PUNCT
bibechana-4876	140	29	.	.	PUNCT
bibechana-4876	141	1	.	.	PUNCT
bibechana-4876	142	1	,	,	PUNCT
bibechana-4876	142	2	270	270	NUM
bibechana-4876	142	3	�	�	NOUN
bibechana-4876	142	4	)	)	PUNCT
bibechana-4876	142	5	,	,	PUNCT
bibechana-4876	143	1	[	[	PUNCT
bibechana-4876	143	2	=	=	NOUN
bibechana-4876	143	3	1	1	NUM
bibechana-4876	143	4	,	,	PUNCT
bibechana-4876	143	5	.	.	PUNCT
bibechana-4876	143	6	.	.	PUNCT
bibechana-4876	143	7	.	.	PUNCT
bibechana-4876	144	1	,	,	PUNCT
bibechana-4876	144	2	x	x	X
bibechana-4876	144	3	,	,	PUNCT
bibechana-4876	144	4	x	x	X
bibechana-4876	144	5	≥	≥	NOUN
bibechana-4876	144	6	2	2	NUM
bibechana-4876	144	7	.	.	PUNCT
bibechana-4876	144	8	further	far	ADV
bibechana-4876	144	9	,	,	PUNCT
bibechana-4876	144	10	there	there	PRON
bibechana-4876	144	11	exists	exist	VERB
bibechana-4876	144	12	no	no	DET
bibechana-4876	144	13	such	such	ADJ
bibechana-4876	144	14	instance	instance	NOUN
bibechana-4876	144	15	for	for	ADP
bibechana-4876	144	16	the	the	DET
bibechana-4876	144	17	bottleneck	bottleneck	NOUN
bibechana-4876	144	18	less	less	ADJ
bibechana-4876	144	19	than	than	ADP
bibechana-4876	144	20	(	(	PUNCT
bibechana-4876	144	21	de	de	X
bibechana-4876	144	22	w	w	PROPN
bibechana-4876	144	23	):	):	PUNCT
bibechana-4876	144	24	.	.	PUNCT
bibechana-4876	145	1	references	reference	NOUN
bibechana-4876	145	2	[	[	X
bibechana-4876	145	3	1	1	NUM
bibechana-4876	145	4	]	]	X
bibechana-4876	145	5	n.	n.	NOUN
bibechana-4876	145	6	brauner	brauner	NOUN
bibechana-4876	145	7	,	,	PUNCT
bibechana-4876	145	8	and	and	CCONJ
bibechana-4876	145	9	y.	y.	PROPN
bibechana-4876	145	10	crama	crama	PROPN
bibechana-4876	145	11	,	,	PUNCT
bibechana-4876	145	12	discrete	discrete	ADJ
bibechana-4876	145	13	applied	apply	VERB
bibechana-4876	145	14	mathematics	mathematic	NOUN
bibechana-4876	145	15	,	,	PUNCT
bibechana-4876	145	16	134	134	NUM
bibechana-4876	145	17	(	(	PUNCT
bibechana-4876	145	18	2004	2004	NUM
bibechana-4876	145	19	)	)	PUNCT
bibechana-4876	145	20	,	,	PUNCT
bibechana-4876	145	21	25	25	NUM
bibechana-4876	145	22	.	.	PUNCT
bibechana-4876	146	1	[	[	X
bibechana-4876	146	2	2	2	NUM
bibechana-4876	146	3	]	]	X
bibechana-4876	146	4	n.	n.	NOUN
bibechana-4876	146	5	brauner	brauner	NOUN
bibechana-4876	146	6	,	,	PUNCT
bibechana-4876	146	7	v.	v.	CCONJ
bibechana-4876	146	8	jost	jost	NOUN
bibechana-4876	146	9	and	and	CCONJ
bibechana-4876	146	10	w.	w.	PROPN
bibechana-4876	146	11	kubiak	kubiak	PROPN
bibechana-4876	146	12	,	,	PUNCT
bibechana-4876	146	13	on	on	ADP
bibechana-4876	146	14	symmetric	symmetric	ADJ
bibechana-4876	146	15	fraenkel	fraenkel	NOUN
bibechana-4876	146	16	’s	’s	PART
bibechana-4876	146	17	and	and	CCONJ
bibechana-4876	146	18	small	small	ADJ
bibechana-4876	146	19	deviations	deviation	NOUN
bibechana-4876	146	20	conjecture	conjecture	VERB
bibechana-4876	146	21	,	,	PUNCT
bibechana-4876	146	22	les	les	X
bibechana-4876	146	23	cahiers	cahier	NOUN
bibechana-4876	146	24	du	du	PROPN
bibechana-4876	146	25	laboratoire	laboratoire	PROPN
bibechana-4876	146	26	leibniz	leibniz	PROPN
bibechana-4876	146	27	-	-	PUNCT
bibechana-4876	146	28	imag	imag	PROPN
bibechana-4876	146	29	,	,	PUNCT
bibechana-4876	146	30	54	54	NUM
bibechana-4876	146	31	,	,	PUNCT
bibechana-4876	146	32	grenoble	grenoble	ADJ
bibechana-4876	146	33	,	,	PUNCT
bibechana-4876	146	34	france	france	PROPN
bibechana-4876	146	35	,	,	PUNCT
bibechana-4876	146	36	2004	2004	NUM
bibechana-4876	146	37	.	.	PUNCT
bibechana-4876	147	1	[	[	X
bibechana-4876	147	2	3	3	X
bibechana-4876	147	3	]	]	PUNCT
bibechana-4876	147	4	t.	t.	PROPN
bibechana-4876	147	5	n.	n.	PROPN
bibechana-4876	147	6	dhamala	dhamala	PROPN
bibechana-4876	147	7	and	and	CCONJ
bibechana-4876	147	8	s.	s.	PROPN
bibechana-4876	147	9	r.	r.	PROPN
bibechana-4876	147	10	khadka	khadka	PROPN
bibechana-4876	147	11	,	,	PUNCT
bibechana-4876	147	12	iranian	iranian	ADJ
bibechana-4876	147	13	journal	journal	PROPN
bibechana-4876	147	14	of	of	ADP
bibechana-4876	147	15	optimization	optimization	NOUN
bibechana-4876	147	16	,	,	PUNCT
bibechana-4876	147	17	1	1	NUM
bibechana-4876	147	18	,	,	PUNCT
bibechana-4876	147	19	3	3	NUM
bibechana-4876	147	20	,	,	PUNCT
bibechana-4876	147	21	(	(	PUNCT
bibechana-4876	147	22	2009)266	2009)266	NOUN
bibechana-4876	147	23	.	.	PUNCT
bibechana-4876	148	1	[	[	X
bibechana-4876	148	2	4	4	X
bibechana-4876	148	3	]	]	PUNCT
bibechana-4876	148	4	s.	s.	PROPN
bibechana-4876	148	5	r.	r.	PROPN
bibechana-4876	148	6	khadka	khadka	PROPN
bibechana-4876	148	7	and	and	CCONJ
bibechana-4876	148	8	t.	t.	PROPN
bibechana-4876	148	9	n.	n.	PROPN
bibechana-4876	148	10	dhamala	dhamala	PROPN
bibechana-4876	148	11	,	,	PUNCT
bibechana-4876	148	12	iranian	iranian	ADJ
bibechana-4876	148	13	journal	journal	NOUN
bibechana-4876	148	14	of	of	ADP
bibechana-4876	148	15	optimization	optimization	NOUN
bibechana-4876	148	16	,	,	PUNCT
bibechana-4876	148	17	3	3	NUM
bibechana-4876	148	18	(	(	PUNCT
bibechana-4876	148	19	2010	2010	NUM
bibechana-4876	148	20	)	)	PUNCT
bibechana-4876	148	21	477	477	NUM
bibechana-4876	148	22	.	.	PUNCT
bibechana-4876	149	1	[	[	X
bibechana-4876	149	2	5	5	X
bibechana-4876	149	3	]	]	PUNCT
bibechana-4876	149	4	w.	w.	PROPN
bibechana-4876	149	5	kubiak	kubiak	PROPN
bibechana-4876	149	6	and	and	CCONJ
bibechana-4876	149	7	m.	m.	PROPN
bibechana-4876	149	8	yavuz	yavuz	PROPN
bibechana-4876	149	9	,	,	PUNCT
bibechana-4876	149	10	manufacturing	manufacturing	NOUN
bibechana-4876	149	11	and	and	CCONJ
bibechana-4876	149	12	service	service	NOUN
bibechana-4876	149	13	operations	operation	NOUN
bibechana-4876	149	14	management	management	NOUN
bibechana-4876	149	15	,	,	PUNCT
bibechana-4876	149	16	10	10	NUM
bibechana-4876	149	17	,	,	PUNCT
bibechana-4876	149	18	3	3	NUM
bibechana-4876	149	19	,	,	PUNCT
bibechana-4876	149	20	(	(	PUNCT
bibechana-4876	149	21	2008	2008	NUM
bibechana-4876	149	22	)	)	PUNCT
bibechana-4876	149	23	506	506	NUM
bibechana-4876	149	24	.	.	PUNCT
bibechana-4876	149	25	shree	shree	PROPN
bibechana-4876	149	26	ram	ram	PROPN
bibechana-4876	149	27	khadka	khadka	PROPN
bibechana-4876	149	28	/	/	SYM
bibechana-4876	149	29	bibechana	bibechana	PROPN
bibechana-4876	149	30	8	8	NUM
bibechana-4876	149	31	(	(	PUNCT
bibechana-4876	149	32	2012	2012	NUM
bibechana-4876	149	33	)	)	PUNCT
bibechana-4876	149	34	53	53	NUM
bibechana-4876	149	35	-	-	SYM
bibechana-4876	149	36	58	58	NUM
bibechana-4876	149	37	:	:	PUNCT
bibechana-4876	149	38	bmhss	bmhss	PROPN
bibechana-4876	149	39	,	,	PUNCT
bibechana-4876	149	40	p.58	p.58	PROPN
bibechana-4876	150	1	[	[	X
bibechana-4876	150	2	6	6	NUM
bibechana-4876	150	3	]	]	PUNCT
bibechana-4876	150	4	g.	g.	PROPN
bibechana-4876	150	5	steiner	steiner	PROPN
bibechana-4876	150	6	and	and	CCONJ
bibechana-4876	150	7	j.	j.	PROPN
bibechana-4876	150	8	s.	s.	PROPN
bibechana-4876	150	9	yeomans	yeomans	PROPN
bibechana-4876	150	10	,	,	PUNCT
bibechana-4876	150	11	management	management	NOUN
bibechana-4876	150	12	science	science	NOUN
bibechana-4876	150	13	,	,	PUNCT
bibechana-4876	150	14	39	39	NUM
bibechana-4876	150	15	,	,	PUNCT
bibechana-4876	150	16	6	6	NUM
bibechana-4876	150	17	,	,	PUNCT
bibechana-4876	150	18	(	(	PUNCT
bibechana-4876	150	19	1993)728	1993)728	NUM
bibechana-4876	150	20	.	.	PUNCT
bibechana-4876	151	1	[	[	X
bibechana-4876	151	2	7	7	X
bibechana-4876	151	3	]	]	X
bibechana-4876	151	4	m.	m.	PROPN
bibechana-4876	151	5	yavuz	yavuz	PROPN
bibechana-4876	151	6	,	,	PUNCT
bibechana-4876	151	7	e.	e.	PROPN
bibechana-4876	151	8	akcali	akcali	PROPN
bibechana-4876	151	9	and	and	CCONJ
bibechana-4876	151	10	s.	s.	PROPN
bibechana-4876	151	11	tufekci	tufekci	PROPN
bibechana-4876	151	12	,	,	PUNCT
bibechana-4876	151	13	international	international	ADJ
bibechana-4876	151	14	journal	journal	NOUN
bibechana-4876	151	15	of	of	ADP
bibechana-4876	151	16	production	production	NOUN
bibechana-4876	151	17	research	research	NOUN
bibechana-4876	151	18	,	,	PUNCT
bibechana-4876	151	19	44	44	NUM
bibechana-4876	151	20	,	,	PUNCT
bibechana-4876	151	21	15	15	NUM
bibechana-4876	151	22	,	,	PUNCT
bibechana-4876	151	23	(	(	PUNCT
bibechana-4876	151	24	2006)3061	2006)3061	NOUN
bibechana-4876	151	25	.	.	PUNCT
bibechana-4876	152	1	[	[	X
bibechana-4876	152	2	8	8	NUM
bibechana-4876	152	3	]	]	PUNCT
bibechana-4876	152	4	m.	m.	NOUN
bibechana-4876	152	5	yavuz	yavuz	PROPN
bibechana-4876	152	6	and	and	CCONJ
bibechana-4876	152	7	s.	s.	PROPN
bibechana-4876	152	8	tufekci	tufekci	PROPN
bibechana-4876	152	9	,	,	PUNCT
bibechana-4876	152	10	international	international	ADJ
bibechana-4876	152	11	journal	journal	NOUN
bibechana-4876	152	12	of	of	ADP
bibechana-4876	152	13	production	production	NOUN
bibechana-4876	152	14	research	research	NOUN
bibechana-4876	152	15	,	,	PUNCT
bibechana-4876	152	16	45	45	NUM
bibechana-4876	152	17	,	,	PUNCT
bibechana-4876	152	18	17	17	NUM
bibechana-4876	152	19	,	,	PUNCT
bibechana-4876	152	20	(	(	PUNCT
bibechana-4876	152	21	2007	2007	NUM
bibechana-4876	152	22	)	)	PUNCT
bibechana-4876	152	23	389	389	NUM