id	sid	tid	token	lemma	pos
crl-14213	1	1	college	college	NOUN
crl-14213	1	2	and	and	CCONJ
crl-14213	1	3	research	research	NOUN
crl-14213	1	4	libraries	librarie	VERB
crl-14213	1	5	research	research	NOUN
crl-14213	1	6	n	n	PROPN
crl-14213	1	7	ote_s	ote_s	X
crl-14213	1	8	economic	economic	ADJ
crl-14213	1	9	joint	joint	ADJ
crl-14213	1	10	ordering	ordering	NOUN
crl-14213	1	11	of	of	ADP
crl-14213	1	12	consumable	consumable	ADJ
crl-14213	1	13	items	item	NOUN
crl-14213	1	14	for	for	ADP
crl-14213	1	15	a	a	DET
crl-14213	1	16	university	university	NOUN
crl-14213	1	17	library	library	NOUN
crl-14213	1	18	s.	s.	PROPN
crl-14213	1	19	k.	k.	PROPN
crl-14213	1	20	goyal	goyal	PROPN
crl-14213	1	21	in	in	ADP
crl-14213	1	22	this	this	DET
crl-14213	1	23	paper	paper	NOUN
crl-14213	1	24	the	the	DET
crl-14213	1	25	problem	problem	NOUN
crl-14213	1	26	of	of	ADP
crl-14213	1	27	joint	joint	ADJ
crl-14213	1	28	ordering	ordering	NOUN
crl-14213	1	29	of	of	ADP
crl-14213	1	30	consumable	consumable	ADJ
crl-14213	1	31	items	item	NOUN
crl-14213	1	32	for	for	ADP
crl-14213	1	33	a	a	DET
crl-14213	1	34	university	university	NOUN
crl-14213	1	35	library	library	NOUN
crl-14213	1	36	is	be	AUX
crl-14213	1	37	formulated	formulate	VERB
crl-14213	1	38	.	.	PUNCT
crl-14213	2	1	a	a	DET
crl-14213	2	2	simple	simple	ADJ
crl-14213	2	3	heuristic	heuristic	ADJ
crl-14213	2	4	method	method	NOUN
crl-14213	2	5	is	be	AUX
crl-14213	2	6	proposed	propose	VERB
crl-14213	2	7	for	for	ADP
crl-14213	2	8	determining	determine	VERB
crl-14213	2	9	the	the	DET
crl-14213	2	10	most	most	ADV
crl-14213	2	11	economical	economical	ADJ
crl-14213	2	12	ordering	ordering	NOUN
crl-14213	2	13	policy	policy	NOUN
crl-14213	2	14	.	.	PUNCT
crl-14213	3	1	an	an	DET
crl-14213	3	2	example	example	NOUN
crl-14213	3	3	involving	involve	VERB
crl-14213	3	4	two	two	NUM
crl-14213	3	5	items	item	NOUN
crl-14213	3	6	is	be	AUX
crl-14213	3	7	solved	solve	VERB
crl-14213	3	8	to	to	PART
crl-14213	3	9	illustrate	illustrate	VERB
crl-14213	3	10	the	the	DET
crl-14213	3	11	method	method	NOUN
crl-14213	3	12	.	.	PUNCT
crl-14213	4	1	a	a	DET
crl-14213	4	2	modern	modern	ADJ
crl-14213	4	3	library	library	NOUN
crl-14213	4	4	consumes	consume	VERB
crl-14213	4	5	a	a	DET
crl-14213	4	6	large	large	ADJ
crl-14213	4	7	number	number	NOUN
crl-14213	4	8	of	of	ADP
crl-14213	4	9	items	item	NOUN
crl-14213	4	10	in	in	ADP
crl-14213	4	11	its	its	PRON
crl-14213	4	12	day	day	NOUN
crl-14213	4	13	-	-	PUNCT
crl-14213	4	14	to	to	ADP
crl-14213	4	15	-	-	PUNCT
crl-14213	4	16	day	day	NOUN
crl-14213	4	17	operations	operation	NOUN
crl-14213	4	18	,	,	PUNCT
crl-14213	4	19	i.e.	i.e.	X
crl-14213	4	20	,	,	PUNCT
crl-14213	4	21	loan	loan	NOUN
crl-14213	4	22	slips	slip	NOUN
crl-14213	4	23	,	,	PUNCT
crl-14213	4	24	interlibrary	interlibrary	ADJ
crl-14213	4	25	loan	loan	NOUN
crl-14213	4	26	forms	form	NOUN
crl-14213	4	27	,	,	PUNCT
crl-14213	4	28	photocopying	photocopy	VERB
crl-14213	4	29	paper	paper	NOUN
crl-14213	4	30	of	of	ADP
crl-14213	4	31	d	d	PROPN
crl-14213	4	32	~	~	NUM
crl-14213	4	33	ferent	ferent	ADJ
crl-14213	4	34	kinds	kind	NOUN
crl-14213	4	35	and	and	CCONJ
crl-14213	4	36	sizes	size	NOUN
crl-14213	4	37	,	,	PUNCT
crl-14213	4	38	standard	standard	ADJ
crl-14213	4	39	stationery	stationery	NOUN
crl-14213	4	40	items	item	NOUN
crl-14213	4	41	order	order	NOUN
crl-14213	4	42	forms	form	NOUN
crl-14213	4	43	,	,	PUNCT
crl-14213	4	44	etc	etc	X
crl-14213	4	45	.	.	X
crl-14213	4	46	very	very	ADV
crl-14213	4	47	often	often	ADV
crl-14213	4	48	anumber	anumber	NOUN
crl-14213	4	49	of	of	ADP
crl-14213	4	50	items	item	NOUN
crl-14213	4	51	are	be	AUX
crl-14213	4	52	procured	procure	VERB
crl-14213	4	53	from	from	ADP
crl-14213	4	54	a	a	DET
crl-14213	4	55	single	single	ADJ
crl-14213	4	56	supplier	supplier	NOUN
crl-14213	4	57	.	.	PUNCT
crl-14213	5	1	for	for	ADP
crl-14213	5	2	example	example	NOUN
crl-14213	5	3	,	,	PUNCT
crl-14213	5	4	our	our	PRON
crl-14213	5	5	l?cal	l?cal	ADJ
crl-14213	5	6	public	public	NOUN
crl-14213	5	7	~i­	~i­	PUNCT
crl-14213	5	8	brary	brary	ADJ
crl-14213	5	9	purchases	purchase	NOUN
crl-14213	5	10	photocopymg	photocopymg	VERB
crl-14213	5	11	paper	paper	NOUN
crl-14213	5	12	m	m	VERB
crl-14213	5	13	two	two	NUM
crl-14213	5	14	sizes	size	NOUN
crl-14213	5	15	from	from	ADP
crl-14213	5	16	one	one	NUM
crl-14213	5	17	supplier	supplier	NOUN
crl-14213	5	18	.	.	PUNCT
crl-14213	6	1	the	the	DET
crl-14213	6	2	demand	demand	NOUN
crl-14213	6	3	for	for	ADP
crl-14213	6	4	the	the	DET
crl-14213	6	5	photocopying	photocopy	VERB
crl-14213	6	6	paper	paper	NOUN
crl-14213	6	7	in	in	ADP
crl-14213	6	8	the	the	DET
crl-14213	6	9	two	two	NUM
crl-14213	6	10	sizes	size	NOUN
crl-14213	6	11	is	be	AUX
crl-14213	6	12	fairly	fairly	ADV
crl-14213	6	13	constant	constant	ADJ
crl-14213	6	14	over	over	ADP
crl-14213	6	15	time	time	NOUN
crl-14213	6	16	.	.	PUNCT
crl-14213	7	1	th.e	th.e	PROPN
crl-14213	7	2	problem	problem	NOUN
crl-14213	7	3	facing	face	VERB
crl-14213	7	4	the	the	DET
crl-14213	7	5	library	library	NOUN
crl-14213	7	6	management	management	NOUN
crl-14213	7	7	ts	ts	ADP
crl-14213	7	8	how	how	SCONJ
crl-14213	7	9	to	to	PART
crl-14213	7	10	procure	procure	VERB
crl-14213	7	11	photocopying	photocopy	VERB
crl-14213	7	12	paper	paper	NOUN
crl-14213	7	13	in	in	ADP
crl-14213	7	14	the	the	DET
crl-14213	7	15	most	most	ADV
crl-14213	7	16	economical	economical	ADJ
crl-14213	7	17	manner	manner	NOUN
crl-14213	7	18	.	.	PUNCT
crl-14213	8	1	·	·	PUNCT
crl-14213	8	2	items	item	NOUN
crl-14213	8	3	that	that	PRON
crl-14213	8	4	are	be	AUX
crl-14213	8	5	purchased	purchase	VERB
crl-14213	8	6	exclusively	exclusively	ADV
crl-14213	8	7	from	from	ADP
crl-14213	8	8	a	a	DET
crl-14213	8	9	single	single	ADJ
crl-14213	8	10	supplier	supplier	NOUN
crl-14213	8	11	can	can	AUX
crl-14213	8	12	be	be	AUX
crl-14213	8	13	ordered	order	VERB
crl-14213	8	14	in	in	ADP
crl-14213	8	15	two	two	NUM
crl-14213	8	16	simple	simple	ADJ
crl-14213	8	17	ways	way	NOUN
crl-14213	8	18	:	:	PUNCT
crl-14213	8	19	(	(	PUNCT
crl-14213	8	20	1	1	X
crl-14213	8	21	)	)	PUNCT
crl-14213	8	22	each	each	DET
crl-14213	8	23	item	item	NOUN
crl-14213	8	24	is	be	AUX
crl-14213	8	25	ordered	order	VERB
crl-14213	8	26	on	on	ADP
crl-14213	8	27	its	its	PRON
crl-14213	8	28	own	own	ADJ
crl-14213	8	29	,	,	PUNCT
crl-14213	8	30	and	and	CCONJ
crl-14213	8	31	(	(	PUNCT
crl-14213	8	32	2	2	X
crl-14213	8	33	)	)	PUNCT
crl-14213	8	34	items	item	NOUN
crl-14213	8	35	are	be	AUX
crl-14213	8	36	ordered	order	VERB
crl-14213	8	37	jointly	jointly	ADV
crl-14213	8	38	.	.	PUNCT
crl-14213	9	1	whenever	whenever	SCONJ
crl-14213	9	2	a	a	DET
crl-14213	9	3	purchase	purchase	NOUN
crl-14213	9	4	order	order	NOUN
crl-14213	9	5	is	be	AUX
crl-14213	9	6	initiated	initiate	VERB
crl-14213	9	7	,	,	PUNCT
crl-14213	9	8	a	a	DET
crl-14213	9	9	fixed	fix	VERB
crl-14213	9	10	cost	cost	NOUN
crl-14213	9	11	of	of	ADP
crl-14213	9	12	placing	place	VERB
crl-14213	9	13	an	an	DET
crl-14213	9	14	order	order	NOUN
crl-14213	9	15	is	be	AUX
crl-14213	9	16	incurred	incur	VERB
crl-14213	9	17	.	.	PUNCT
crl-14213	10	1	this	this	DET
crl-14213	10	2	fixed	fix	VERB
crl-14213	10	3	cost	cost	NOUN
crl-14213	10	4	primarily	primarily	ADV
crl-14213	10	5	consists	consist	VERB
crl-14213	10	6	of	of	ADP
crl-14213	10	7	administrative	administrative	ADJ
crl-14213	10	8	costs	cost	NOUN
crl-14213	10	9	of	of	ADP
crl-14213	10	10	preparing	prepare	VERB
crl-14213	10	11	a	a	DET
crl-14213	10	12	purchase	purchase	NOUN
crl-14213	10	13	order	order	NOUN
crl-14213	10	14	.	.	PUNCT
crl-14213	11	1	some	some	DET
crl-14213	11	2	additional	additional	ADJ
crl-14213	11	3	cost	cost	NOUN
crl-14213	11	4	may	may	AUX
crl-14213	11	5	be	be	AUX
crl-14213	11	6	incurred	incur	VERB
crl-14213	11	7	depending	depend	VERB
crl-14213	11	8	on	on	ADP
crl-14213	11	9	the	the	DET
crl-14213	11	10	particular	particular	ADJ
crl-14213	11	11	item(s	item(s	NOUN
crl-14213	11	12	)	)	PUNCT
crl-14213	11	13	.	.	PUNCT
crl-14213	12	1	therefore	therefore	ADV
crl-14213	12	2	,	,	PUNCT
crl-14213	12	3	in	in	ADP
crl-14213	12	4	the	the	DET
crl-14213	12	5	first	first	ADJ
crl-14213	12	6	instance	instance	NOUN
crl-14213	12	7	,	,	PUNCT
crl-14213	12	8	where	where	SCONJ
crl-14213	12	9	each	each	DET
crl-14213	12	10	item	item	NOUN
crl-14213	12	11	is	be	AUX
crl-14213	12	12	ordered	order	VERB
crl-14213	12	13	on	on	ADP
crl-14213	12	14	its	its	PRON
crl-14213	12	15	own	own	ADJ
crl-14213	12	16	,	,	PUNCT
crl-14213	12	17	every	every	DET
crl-14213	12	18	time	time	NOUN
crl-14213	12	19	an	an	DET
crl-14213	12	20	item	item	NOUN
crl-14213	12	21	is	be	AUX
crl-14213	12	22	ordered	order	VERB
crl-14213	12	23	the	the	DET
crl-14213	12	24	fixed	fix	VERB
crl-14213	12	25	cost	cost	NOUN
crl-14213	12	26	of	of	ADP
crl-14213	12	27	placing	place	VERB
crl-14213	12	28	the	the	DET
crl-14213	12	29	purchase	purchase	NOUN
crl-14213	12	30	order	order	NOUN
crl-14213	12	31	and	and	CCONJ
crl-14213	12	32	the	the	DET
crl-14213	12	33	variable	variable	ADJ
crl-14213	12	34	cost	cost	NOUN
crl-14213	12	35	of	of	ADP
crl-14213	12	36	ordering	order	VERB
crl-14213	12	37	that	that	DET
crl-14213	12	38	particular	particular	ADJ
crl-14213	12	39	item	item	NOUN
crl-14213	12	40	must	must	AUX
crl-14213	12	41	be	be	AUX
crl-14213	12	42	incurred	incur	VERB
crl-14213	12	43	.	.	PUNCT
crl-14213	13	1	on	on	ADP
crl-14213	13	2	the	the	DET
crl-14213	13	3	other	other	ADJ
crl-14213	13	4	hand	hand	NOUN
crl-14213	13	5	,	,	PUNCT
crl-14213	13	6	in	in	ADP
crl-14213	13	7	the	the	DET
crl-14213	13	8	second	second	ADJ
crl-14213	13	9	instance	instance	NOUN
crl-14213	13	10	,	,	PUNCT
crl-14213	13	11	where	where	SCONJ
crl-14213	13	12	items	item	NOUN
crl-14213	13	13	are	be	AUX
crl-14213	13	14	ordered	order	VERB
crl-14213	13	15	jointly	jointly	ADV
crl-14213	13	16	,	,	PUNCT
crl-14213	13	17	the	the	DET
crl-14213	13	18	cost	cost	NOUN
crl-14213	13	19	of	of	ADP
crl-14213	13	20	placing	place	VERB
crl-14213	13	21	the	the	DET
crl-14213	13	22	order	order	NOUN
crl-14213	13	23	consists	consist	VERB
crl-14213	13	24	of	of	ADP
crl-14213	13	25	the	the	DET
crl-14213	13	26	fixed	fix	VERB
crl-14213	13	27	cost	cost	NOUN
crl-14213	13	28	of	of	ADP
crl-14213	13	29	placing	place	VERB
crl-14213	13	30	the	the	DET
crl-14213	13	31	order	order	NOUN
crl-14213	13	32	plus	plus	CCONJ
crl-14213	13	33	the	the	DET
crl-14213	13	34	total	total	NOUN
crl-14213	13	35	of	of	ADP
crl-14213	13	36	individual	individual	ADJ
crl-14213	13	37	ordering	ordering	NOUN
crl-14213	13	38	cost	cost	NOUN
crl-14213	13	39	of	of	ADP
crl-14213	13	40	the	the	DET
crl-14213	13	41	items	item	NOUN
crl-14213	13	42	included	include	VERB
crl-14213	13	43	in	in	ADP
crl-14213	13	44	the	the	DET
crl-14213	13	45	purchase	purchase	NOUN
crl-14213	13	46	order	order	NOUN
crl-14213	13	47	.	.	PUNCT
crl-14213	14	1	therefore	therefore	ADV
crl-14213	14	2	,	,	PUNCT
crl-14213	14	3	as	as	ADP
crl-14213	14	4	a	a	DET
crl-14213	14	5	result	result	NOUN
crl-14213	14	6	of	of	ADP
crl-14213	14	7	ordering	order	VERB
crl-14213	14	8	items	item	NOUN
crl-14213	14	9	jointly	jointly	ADV
crl-14213	14	10	,	,	PUNCT
crl-14213	14	11	considerable	considerable	ADJ
crl-14213	14	12	saving	saving	NOUN
crl-14213	14	13	in	in	ADP
crl-14213	14	14	the	the	DET
crl-14213	14	15	total	total	ADJ
crl-14213	14	16	ordering	ordering	NOUN
crl-14213	14	17	cost	cost	NOUN
crl-14213	14	18	can	can	AUX
crl-14213	14	19	be	be	AUX
crl-14213	14	20	achieved	achieve	VERB
crl-14213	14	21	.	.	PUNCT
crl-14213	15	1	in	in	ADP
crl-14213	15	2	the	the	DET
crl-14213	15	3	operations	operation	NOUN
crl-14213	15	4	research	research	NOUN
crl-14213	15	5	/	/	SYM
crl-14213	15	6	management	management	NOUN
crl-14213	15	7	scienc.e	scienc.e	PROPN
crl-14213	15	8	literature	literature	PROPN
crl-14213	15	9	,	,	PUNCT
crl-14213	15	10	a	a	DET
crl-14213	15	11	considerable	considerable	ADJ
crl-14213	15	12	number	number	NOUN
crl-14213	15	13	of	of	ADP
crl-14213	15	14	publications	publication	NOUN
crl-14213	15	15	exist	exist	VERB
crl-14213	15	16	that	that	DET
crl-14213	15	17	deal	deal	NOUN
crl-14213	15	18	with	with	ADP
crl-14213	15	19	the	the	DET
crl-14213	15	20	problem	problem	NOUN
crl-14213	15	21	of	of	ADP
crl-14213	15	22	determining	determine	VERB
crl-14213	15	23	an	an	DET
crl-14213	15	24	economical	economical	ADJ
crl-14213	15	25	ordering	ordering	NOUN
crl-14213	15	26	policy	policy	NOUN
crl-14213	15	27	(	(	PUNCT
crl-14213	15	28	see	see	VERB
crl-14213	15	29	shu	shu	NOUN
crl-14213	15	30	,	,	PUNCT
crl-14213	15	31	1	1	NUM
crl-14213	15	32	goyal/'3	goyal/'3	NOUN
crl-14213	15	33	silver,4	silver,4	NOUN
crl-14213	15	34	and	and	CCONJ
crl-14213	15	35	kaspi	kaspi	NOUN
crl-14213	15	36	and	and	CCONJ
crl-14213	15	37	rosenblate	rosenblate	VERB
crl-14213	15	38	.	.	PUNCT
crl-14213	15	39	)	)	PUNCT
crl-14213	16	1	for	for	ADP
crl-14213	16	2	the	the	DET
crl-14213	16	3	consumable	consumable	ADJ
crl-14213	16	4	items	item	NOUN
crl-14213	16	5	having	have	VERB
crl-14213	16	6	a	a	DET
crl-14213	16	7	fairly	fairly	ADV
crl-14213	16	8	constant	constant	ADJ
crl-14213	16	9	rate	rate	NOUN
crl-14213	16	10	of	of	ADP
crl-14213	16	11	demand	demand	NOUN
crl-14213	16	12	the	the	DET
crl-14213	16	13	economic	economic	ADJ
crl-14213	16	14	order	order	NOUN
crl-14213	16	15	quantity	quantity	NOUN
crl-14213	16	16	model	model	NOUN
crl-14213	16	17	(	(	PUNCT
crl-14213	16	18	eoq	eoq	ADJ
crl-14213	16	19	model	model	NOUN
crl-14213	16	20	)	)	PUNCT
crl-14213	16	21	is	be	AUX
crl-14213	16	22	considered	consider	VERB
crl-14213	16	23	to	to	PART
crl-14213	16	24	be	be	AUX
crl-14213	16	25	most	most	ADV
crl-14213	16	26	appropriate	appropriate	ADJ
crl-14213	16	27	for	for	ADP
crl-14213	16	28	application	application	NOUN
crl-14213	16	29	in	in	ADP
crl-14213	16	30	the	the	DET
crl-14213	16	31	context	context	NOUN
crl-14213	16	32	of	of	ADP
crl-14213	16	33	a	a	DET
crl-14213	16	34	library	library	NOUN
crl-14213	16	35	inventory	inventory	NOUN
crl-14213	16	36	of	of	ADP
crl-14213	16	37	consumable	consumable	ADJ
crl-14213	16	38	items	item	NOUN
crl-14213	16	39	.	.	PUNCT
crl-14213	17	1	let	let	VERB
crl-14213	17	2	s	s	PRON
crl-14213	17	3	=	=	VERB
crl-14213	17	4	fixed	fix	VERB
crl-14213	17	5	cost	cost	NOUN
crl-14213	17	6	associated	associate	VERB
crl-14213	17	7	with	with	ADP
crl-14213	17	8	a	a	DET
crl-14213	17	9	replenishment	replenishment	NOUN
crl-14213	17	10	;	;	PUNCT
crl-14213	17	11	s.	s.	PROPN
crl-14213	17	12	k.	k.	PROPN
crl-14213	17	13	goyal	goyal	PROPN
crl-14213	17	14	is	be	AUX
crl-14213	17	15	professor	professor	NOUN
crl-14213	17	16	in	in	ADP
crl-14213	17	17	the	the	DET
crl-14213	17	18	department	department	NOUN
crl-14213	17	19	of	of	ADP
crl-14213	17	20	quantitative	quantitative	ADJ
crl-14213	17	21	methods	method	NOUN
crl-14213	17	22	at	at	ADP
crl-14213	17	23	concordia	concordia	PROPN
crl-14213	17	24	university	university	PROPN
crl-14213	17	25	,	,	PUNCT
crl-14213	17	26	montreal	montreal	PROPN
crl-14213	17	27	,	,	PUNCT
crl-14213	17	28	quebec	quebec	PROPN
crl-14213	17	29	,	,	PUNCT
crl-14213	17	30	canada	canada	PROPN
crl-14213	17	31	,	,	PUNCT
crl-14213	17	32	h3	h3	PROPN
crl-14213	17	33	g	g	PROPN
crl-14213	17	34	1	1	NUM
crl-14213	17	35	mb	mb	NOUN
crl-14213	17	36	.	.	PUNCT
crl-14213	17	37	275	275	NUM
crl-14213	17	38	276	276	NUM
crl-14213	17	39	college	college	PROPN
crl-14213	17	40	&	&	CCONJ
crl-14213	17	41	research	research	PROPN
crl-14213	17	42	libraries	library	NOUN
crl-14213	17	43	n	n	CCONJ
crl-14213	17	44	=	=	SYM
crl-14213	17	45	number	number	NOUN
crl-14213	17	46	of	of	ADP
crl-14213	17	47	consumable	consumable	ADJ
crl-14213	17	48	items	item	NOUN
crl-14213	17	49	ordered	order	VERB
crl-14213	17	50	from	from	ADP
crl-14213	17	51	the	the	DET
crl-14213	17	52	supplier	supplier	NOUN
crl-14213	17	53	and	and	CCONJ
crl-14213	17	54	for	for	ADP
crl-14213	17	55	the	the	DET
crl-14213	17	56	i	i	NOUN
crl-14213	17	57	th	th	PRON
crl-14213	17	58	item	item	NOUN
crl-14213	17	59	;	;	PUNCT
crl-14213	17	60	si	si	X
crl-14213	17	61	=	=	X
crl-14213	17	62	variable	variable	ADJ
crl-14213	17	63	cost	cost	NOUN
crl-14213	17	64	of	of	ADP
crl-14213	17	65	including	include	VERB
crl-14213	17	66	the	the	DET
crl-14213	17	67	item	item	NOUN
crl-14213	17	68	on	on	ADP
crl-14213	17	69	the	the	DET
crl-14213	17	70	replenishment	replenishment	NOUN
crl-14213	17	71	order	order	NOUN
crl-14213	17	72	;	;	PUNCT
crl-14213	17	73	di=	di=	VERB
crl-14213	17	74	demand	demand	NOUN
crl-14213	17	75	per	per	ADP
crl-14213	17	76	year	year	NOUN
crl-14213	17	77	;	;	PUNCT
crl-14213	18	1	h	h	PROPN
crl-14213	18	2	i	i	PRON
crl-14213	18	3	=	=	NOUN
crl-14213	18	4	stock	stock	NOUN
crl-14213	18	5	holding	hold	VERB
crl-14213	18	6	cost	cost	NOUN
crl-14213	18	7	per	per	ADP
crl-14213	18	8	item	item	NOUN
crl-14213	18	9	per	per	ADP
crl-14213	18	10	year	year	NOUN
crl-14213	18	11	.	.	PUNCT
crl-14213	19	1	in	in	ADP
crl-14213	19	2	the	the	DET
crl-14213	19	3	first	first	ADJ
crl-14213	19	4	instance	instance	NOUN
crl-14213	19	5	,	,	PUNCT
crl-14213	19	6	where	where	SCONJ
crl-14213	19	7	each	each	DET
crl-14213	19	8	item	item	NOUN
crl-14213	19	9	is	be	AUX
crl-14213	19	10	ordered	order	VERB
crl-14213	19	11	on	on	ADP
crl-14213	19	12	its	its	PRON
crl-14213	19	13	own	own	ADJ
crl-14213	19	14	,	,	PUNCT
crl-14213	19	15	the	the	DET
crl-14213	19	16	eoq	eoq	NOUN
crl-14213	19	17	and	and	CCONJ
crl-14213	19	18	the	the	DET
crl-14213	19	19	minimum	minimum	ADJ
crl-14213	19	20	annual	annual	ADJ
crl-14213	19	21	cost	cost	NOUN
crl-14213	19	22	(	(	PUNCT
crl-14213	19	23	mac(eoq	mac(eoq	NUM
crl-14213	19	24	)	)	PUNCT
crl-14213	19	25	)	)	PUNCT
crl-14213	19	26	,	,	PUNCT
crl-14213	19	27	for	for	ADP
crl-14213	19	28	the	the	DET
crl-14213	19	29	th	th	NOUN
crl-14213	19	30	items	item	NOUN
crl-14213	19	31	are	be	AUX
crl-14213	19	32	given	give	VERB
crl-14213	19	33	by	by	ADP
crl-14213	19	34	formulas	formula	NOUN
crl-14213	19	35	1	1	NUM
crl-14213	19	36	and	and	CCONJ
crl-14213	19	37	2	2	NUM
crl-14213	19	38	.	.	X
crl-14213	19	39	the	the	DET
crl-14213	19	40	i	i	PROPN
crl-14213	19	41	2di	2di	PROPN
crl-14213	19	42	(	(	PUNCT
crl-14213	19	43	5	5	NUM
crl-14213	19	44	+	+	NUM
crl-14213	19	45	5j	5j	NUM
crl-14213	19	46	(	(	PUNCT
crl-14213	19	47	eoq)i	eoq)i	VERB
crl-14213	19	48	hi	hi	INTJ
crl-14213	19	49	(	(	PUNCT
crl-14213	19	50	mac(eoq))i	mac(eoq))i	ADP
crl-14213	19	51	i	i	PRON
crl-14213	19	52	2dihi	2dihi	NUM
crl-14213	19	53	(	(	PUNCT
crl-14213	19	54	5	5	NUM
crl-14213	19	55	+	+	NUM
crl-14213	19	56	5i	5i	NUM
crl-14213	19	57	)	)	PUNCT
crl-14213	19	58	n	n	NOUN
crl-14213	19	59	may	may	AUX
crl-14213	19	60	1986	1986	NUM
crl-14213	19	61	minimum	minimum	ADJ
crl-14213	19	62	annual	annual	ADJ
crl-14213	19	63	cost	cost	NOUN
crl-14213	19	64	for	for	ADP
crl-14213	19	65	all	all	DET
crl-14213	19	66	the	the	DET
crl-14213	19	67	consumable	consumable	ADJ
crl-14213	19	68	items	item	NOUN
crl-14213	19	69	is	be	AUX
crl-14213	19	70	given	give	VERB
crl-14213	19	71	by	by	ADP
crl-14213	19	72	formula	formula	NOUN
crl-14213	19	73	3	3	NUM
crl-14213	19	74	.	.	PUNCT
crl-14213	20	1	in	in	ADP
crl-14213	20	2	the	the	DET
crl-14213	20	3	second	second	ADJ
crl-14213	20	4	instance	instance	NOUN
crl-14213	20	5	where	where	SCONJ
crl-14213	20	6	items	item	NOUN
crl-14213	20	7	are	be	AUX
crl-14213	20	8	ordered	order	VERB
crl-14213	20	9	jointly	jointly	ADV
crl-14213	20	10	,	,	PUNCT
crl-14213	20	11	let	let	VERB
crl-14213	20	12	trepresent	trepresent	NOUN
crl-14213	20	13	the	the	DET
crl-14213	20	14	time	time	NOUN
crl-14213	20	15	interval	interval	NOUN
crl-14213	20	16	between	between	ADP
crl-14213	20	17	replenishments	replenishment	NOUN
crl-14213	20	18	.	.	PUNCT
crl-14213	21	1	the	the	DET
crl-14213	21	2	order	order	NOUN
crl-14213	21	3	quantity	quantity	NOUN
crl-14213	21	4	for	for	ADP
crl-14213	21	5	the	the	DET
crl-14213	21	6	ith	ith	PROPN
crl-14213	21	7	item	item	NOUN
crl-14213	21	8	will	will	AUX
crl-14213	21	9	be	be	AUX
crl-14213	21	10	tdi	tdi	PROPN
crl-14213	21	11	.	.	PUNCT
crl-14213	22	1	hence	hence	ADV
crl-14213	22	2	the	the	DET
crl-14213	22	3	annual	annual	ADJ
crl-14213	22	4	cost	cost	NOUN
crl-14213	22	5	,	,	PUNCT
crl-14213	22	6	z	z	PROPN
crl-14213	22	7	,	,	PUNCT
crl-14213	22	8	of	of	ADP
crl-14213	22	9	ordering	ordering	NOUN
crl-14213	22	10	and	and	CCONJ
crl-14213	22	11	stock	stock	NOUN
crl-14213	22	12	holding	holding	NOUN
crl-14213	22	13	in	in	ADP
crl-14213	22	14	case	case	NOUN
crl-14213	22	15	of	of	ADP
crl-14213	22	16	joint	joint	ADJ
crl-14213	22	17	replenishment	replenishment	NOUN
crl-14213	22	18	is	be	AUX
crl-14213	22	19	given	give	VERB
crl-14213	22	20	by	by	ADP
crl-14213	22	21	formula	formula	NOUN
crl-14213	22	22	4	4	NUM
crl-14213	22	23	.	.	PUNCT
crl-14213	23	1	the	the	DET
crl-14213	23	2	total	total	ADJ
crl-14213	23	3	annual	annual	ADJ
crl-14213	23	4	cost	cost	NOUN
crl-14213	23	5	has	have	VERB
crl-14213	23	6	a	a	DET
crl-14213	23	7	least	least	ADJ
crl-14213	23	8	value	value	NOUN
crl-14213	23	9	at	at	ADP
crl-14213	23	10	t	t	NOUN
crl-14213	23	11	=	=	X
crl-14213	23	12	to	to	ADP
crl-14213	23	13	as	as	SCONJ
crl-14213	23	14	given	give	VERB
crl-14213	23	15	in	in	ADP
crl-14213	23	16	formulas	formula	NOUN
crl-14213	23	17	5	5	NUM
crl-14213	23	18	and	and	CCONJ
crl-14213	23	19	6	6	NUM
crl-14213	23	20	.	.	PROPN
crl-14213	23	21	l	l	PROPN
crl-14213	23	22	(	(	PUNCT
crl-14213	23	23	1	1	NUM
crl-14213	23	24	)	)	PUNCT
crl-14213	23	25	(	(	PUNCT
crl-14213	23	26	2	2	NUM
crl-14213	23	27	)	)	PUNCT
crl-14213	23	28	(	(	PUNCT
crl-14213	23	29	mac(eoq	mac(eoq	NUM
crl-14213	23	30	)	)	PUNCT
crl-14213	23	31	)	)	PUNCT
crl-14213	24	1	e	e	NOUN
crl-14213	24	2	i	i	PRON
crl-14213	24	3	2dihi(5	2dihi(5	NUM
crl-14213	24	4	+	+	NUM
crl-14213	24	5	5i	5i	NUM
crl-14213	24	6	)	)	PUNCT
crl-14213	24	7	(	(	PUNCT
crl-14213	24	8	3	3	X
crl-14213	24	9	)	)	PUNCT
crl-14213	24	10	i	i	PRON
crl-14213	24	11	=	=	PROPN
crl-14213	24	12	l	l	X
crl-14213	24	13	n	n	PROPN
crl-14213	24	14	(	(	PUNCT
crl-14213	24	15	5	5	NUM
crl-14213	24	16	+	+	NUM
crl-14213	24	17	l	l	NOUN
crl-14213	24	18	:	:	PUNCT
crl-14213	24	19	5	5	X
crl-14213	24	20	)	)	PUNCT
crl-14213	24	21	i	i	PRON
crl-14213	24	22	=	=	NOUN
crl-14213	25	1	l	l	X
crl-14213	25	2	z	z	NOUN
crl-14213	25	3	+	+	CCONJ
crl-14213	25	4	t	t	NOUN
crl-14213	25	5	n	n	ADP
crl-14213	25	6	2(5	2(5	NUM
crl-14213	25	7	+	+	NUM
crl-14213	25	8	l	l	NOUN
crl-14213	25	9	:	:	PUNCT
crl-14213	25	10	5i	5i	X
crl-14213	25	11	)	)	PUNCT
crl-14213	26	1	i	i	PRON
crl-14213	26	2	=	=	VERB
crl-14213	26	3	l	l	NOUN
crl-14213	26	4	to	to	ADP
crl-14213	26	5	n	n	PROPN
crl-14213	26	6	l	l	NOUN
crl-14213	26	7	:	:	PUNCT
crl-14213	26	8	dihi	dihi	PROPN
crl-14213	26	9	i	i	PROPN
crl-14213	26	10	=	=	PROPN
crl-14213	26	11	l	l	X
crl-14213	26	12	(	(	PUNCT
crl-14213	26	13	mac(joint	mac(joint	NOUN
crl-14213	26	14	)	)	PUNCT
crl-14213	26	15	)	)	PUNCT
crl-14213	27	1	(	(	PUNCT
crl-14213	27	2	eoq(joint))i	eoq(joint))i	NOUN
crl-14213	27	3	t	t	PROPN
crl-14213	27	4	n	n	X
crl-14213	27	5	l	l	NOUN
crl-14213	27	6	:	:	PUNCT
crl-14213	27	7	dihi	dihi	PROPN
crl-14213	27	8	2	2	NUM
crl-14213	27	9	i	i	PRON
crl-14213	27	10	=	=	PROPN
crl-14213	27	11	l	l	NOUN
crl-14213	27	12	n	n	X
crl-14213	27	13	2(5	2(5	NOUN
crl-14213	27	14	+	+	NUM
crl-14213	27	15	l	l	NOUN
crl-14213	27	16	:	:	PUNCT
crl-14213	27	17	5i	5i	X
crl-14213	27	18	)	)	PUNCT
crl-14213	27	19	i	i	PRON
crl-14213	28	1	=	=	NOUN
crl-14213	28	2	l	l	NOUN
crl-14213	28	3	2	2	NUM
crl-14213	28	4	(	(	PUNCT
crl-14213	28	5	5	5	NUM
crl-14213	28	6	+	+	NUM
crl-14213	28	7	l	l	NOUN
crl-14213	28	8	:	:	PUNCT
crl-14213	28	9	5i	5i	X
crl-14213	28	10	)	)	PUNCT
crl-14213	28	11	i	i	PRON
crl-14213	29	1	=	=	PROPN
crl-14213	29	2	l	l	NOUN
crl-14213	29	3	(	(	PUNCT
crl-14213	29	4	4	4	NUM
crl-14213	29	5	)	)	PUNCT
crl-14213	29	6	(	(	PUNCT
crl-14213	29	7	5	5	NUM
crl-14213	29	8	)	)	PUNCT
crl-14213	29	9	n	n	X
crl-14213	29	10	l	l	NOUN
crl-14213	29	11	:	:	PUNCT
crl-14213	29	12	dihi	dihi	PROPN
crl-14213	29	13	(	(	PUNCT
crl-14213	29	14	6	6	NUM
crl-14213	29	15	)	)	PUNCT
crl-14213	29	16	i	i	PRON
crl-14213	29	17	=	=	PROPN
crl-14213	29	18	l	l	NOUN
crl-14213	29	19	(	(	PUNCT
crl-14213	29	20	7	7	NUM
crl-14213	29	21	)	)	PUNCT
crl-14213	29	22	the	the	DET
crl-14213	29	23	economic	economic	ADJ
crl-14213	29	24	order	order	NOUN
crl-14213	29	25	quantity	quantity	NOUN
crl-14213	29	26	for	for	ADP
crl-14213	29	27	the	the	DET
crl-14213	29	28	ith	ith	PROPN
crl-14213	29	29	item	item	NOUN
crl-14213	29	30	is	be	AUX
crl-14213	29	31	given	give	VERB
crl-14213	29	32	by	by	ADP
crl-14213	29	33	formula	formula	NOUN
crl-14213	29	34	7	7	NUM
crl-14213	29	35	.	.	PUNCT
crl-14213	30	1	if	if	SCONJ
crl-14213	30	2	the	the	DET
crl-14213	30	3	total	total	ADJ
crl-14213	30	4	annual	annual	ADJ
crl-14213	30	5	cost	cost	NOUN
crl-14213	30	6	(	(	PUNCT
crl-14213	30	7	macgoint	macgoint	NOUN
crl-14213	30	8	)	)	PUNCT
crl-14213	30	9	)	)	PUNCT
crl-14213	30	10	as	as	SCONJ
crl-14213	30	11	obtained	obtain	VERB
crl-14213	30	12	from	from	ADP
crl-14213	30	13	(	(	PUNCT
crl-14213	30	14	6	6	NUM
crl-14213	30	15	)	)	PUNCT
crl-14213	30	16	is	be	AUX
crl-14213	30	17	lower	low	ADJ
crl-14213	30	18	than	than	ADP
crl-14213	30	19	the	the	DET
crl-14213	30	20	(	(	PUNCT
crl-14213	30	21	mac(eoq	mac(eoq	NUM
crl-14213	30	22	)	)	PUNCT
crl-14213	30	23	)	)	PUNCT
crl-14213	30	24	evaluated	evaluate	VERB
crl-14213	30	25	from	from	ADP
crl-14213	30	26	(	(	PUNCT
crl-14213	30	27	3	3	NUM
crl-14213	30	28	)	)	PUNCT
crl-14213	30	29	,	,	PUNCT
crl-14213	30	30	then	then	ADV
crl-14213	30	31	it	it	PRON
crl-14213	30	32	is	be	AUX
crl-14213	30	33	more	more	ADV
crl-14213	30	34	economical	economical	ADJ
crl-14213	30	35	to	to	PART
crl-14213	30	36	order	order	VERB
crl-14213	30	37	items	item	NOUN
crl-14213	30	38	jointly	jointly	ADV
crl-14213	30	39	.	.	PUNCT
crl-14213	31	1	very	very	ADV
crl-14213	31	2	often	often	ADV
crl-14213	31	3	,	,	PUNCT
crl-14213	31	4	the	the	DET
crl-14213	31	5	(	(	PUNCT
crl-14213	31	6	eoqgoint	eoqgoint	NOUN
crl-14213	31	7	)	)	PUNCT
crl-14213	31	8	)	)	PUNCT
crl-14213	31	9	;	;	PUNCT
crl-14213	31	10	for	for	ADP
crl-14213	31	11	some	some	DET
crl-14213	31	12	items	item	NOUN
crl-14213	31	13	may	may	AUX
crl-14213	31	14	be	be	AUX
crl-14213	31	15	lower	low	ADJ
crl-14213	31	16	than	than	ADP
crl-14213	31	17	the	the	DET
crl-14213	31	18	eoq	eoq	NOUN
crl-14213	31	19	when	when	SCONJ
crl-14213	31	20	the	the	DET
crl-14213	31	21	item	item	NOUN
crl-14213	31	22	is	be	AUX
crl-14213	31	23	ordered	order	VERB
crl-14213	31	24	on	on	ADP
crl-14213	31	25	its	its	PRON
crl-14213	31	26	own	own	ADJ
crl-14213	31	27	without	without	ADP
crl-14213	31	28	incurring	incur	VERB
crl-14213	31	29	the	the	DET
crl-14213	31	30	fixed	fix	VERB
crl-14213	31	31	cost	cost	NOUN
crl-14213	31	32	,	,	PUNCT
crl-14213	31	33	s	s	PROPN
crl-14213	31	34	,	,	PUNCT
crl-14213	31	35	(	(	PUNCT
crl-14213	31	36	in	in	ADP
crl-14213	31	37	such	such	DET
crl-14213	31	38	a	a	DET
crl-14213	31	39	situation	situation	NOUN
crl-14213	31	40	[	[	PUNCT
crl-14213	31	41	(	(	PUNCT
crl-14213	31	42	eoq	eoq	ADV
crl-14213	31	43	)	)	PUNCT
crl-14213	31	44	;	;	PUNCT
crl-14213	31	45	=	=	X
crl-14213	31	46	/wia	/wia	PUNCT
crl-14213	31	47	)	)	PUNCT
crl-14213	31	48	]	]	PUNCT
crl-14213	31	49	.	.	PUNCT
crl-14213	32	1	for	for	ADP
crl-14213	32	2	these	these	DET
crl-14213	32	3	items	item	NOUN
crl-14213	32	4	it	it	PRON
crl-14213	32	5	makes	make	VERB
crl-14213	32	6	sense	sense	NOUN
crl-14213	32	7	to	to	PART
crl-14213	32	8	order	order	VERB
crl-14213	32	9	less	less	ADV
crl-14213	32	10	frequently	frequently	ADV
crl-14213	32	11	,	,	PUNCT
crl-14213	32	12	every	every	DET
crl-14213	32	13	second	second	ADJ
crl-14213	32	14	replenishment	replenishment	NOUN
crl-14213	32	15	or	or	CCONJ
crl-14213	32	16	every	every	DET
crl-14213	32	17	third	third	ADJ
crl-14213	32	18	,	,	PUNCT
crl-14213	32	19	and	and	CCONJ
crl-14213	32	20	so	so	ADV
crl-14213	32	21	on	on	ADV
crl-14213	32	22	.	.	PUNCT
crl-14213	33	1	in	in	ADP
crl-14213	33	2	short	short	ADJ
crl-14213	33	3	,	,	PUNCT
crl-14213	33	4	the	the	DET
crl-14213	33	5	ith	ith	PROPN
crl-14213	33	6	item	item	NOUN
crl-14213	33	7	may	may	AUX
crl-14213	33	8	be	be	AUX
crl-14213	33	9	ordered	order	VERB
crl-14213	33	10	in	in	ADP
crl-14213	33	11	every	every	DET
crl-14213	33	12	k	k	PROPN
crl-14213	33	13	/	/	SYM
crl-14213	33	14	h	h	NOUN
crl-14213	33	15	replenishment	replenishment	NOUN
crl-14213	33	16	where	where	SCONJ
crl-14213	33	17	k;=	k;=	PROPN
crl-14213	33	18	1	1	NUM
crl-14213	33	19	,	,	PUNCT
crl-14213	33	20	2	2	NUM
crl-14213	33	21	,	,	PUNCT
crl-14213	33	22	3	3	NUM
crl-14213	33	23	,	,	PUNCT
crl-14213	33	24	and	and	CCONJ
crl-14213	33	25	so	so	ADV
crl-14213	33	26	on	on	ADV
crl-14213	33	27	.	.	PUNCT
crl-14213	34	1	in	in	ADP
crl-14213	34	2	order	order	NOUN
crl-14213	34	3	to	to	PART
crl-14213	34	4	determine	determine	VERB
crl-14213	34	5	the	the	DET
crl-14213	34	6	value	value	NOUN
crl-14213	34	7	of	of	ADP
crl-14213	34	8	k	k	PROPN
crl-14213	34	9	;	;	PUNCT
crl-14213	34	10	,	,	PUNCT
crl-14213	34	11	we	we	PRON
crl-14213	34	12	select	select	VERB
crl-14213	34	13	the	the	DET
crl-14213	34	14	nearest	near	ADJ
crl-14213	34	15	non	non	ADJ
crl-14213	34	16	-	-	ADJ
crl-14213	34	17	zero	zero	NUM
crl-14213	34	18	integer	integer	NOUN
crl-14213	34	19	number	number	NOUN
crl-14213	34	20	from	from	ADP
crl-14213	34	21	the	the	DET
crl-14213	34	22	ratio	ratio	NOUN
crl-14213	34	23	shown	show	VERB
crl-14213	34	24	as	as	ADP
crl-14213	34	25	formula	formula	NOUN
crl-14213	34	26	8	8	NUM
crl-14213	34	27	.	.	PUNCT
crl-14213	35	1	see	see	VERB
crl-14213	35	2	silver6	silver6	NOUN
crl-14213	35	3	for	for	ADP
crl-14213	35	4	determining	determine	VERB
crl-14213	35	5	the	the	DET
crl-14213	35	6	value	value	NOUN
crl-14213	35	7	of	of	ADP
crl-14213	35	8	k	k	PROPN
crl-14213	35	9	;	;	PUNCT
crl-14213	35	10	.	.	PUNCT
crl-14213	36	1	the	the	DET
crl-14213	36	2	time	time	NOUN
crl-14213	36	3	interval	interval	NOUN
crl-14213	36	4	between	between	ADP
crl-14213	36	5	replenishments	replenishment	NOUN
crl-14213	36	6	,	,	PUNCT
crl-14213	36	7	the	the	DET
crl-14213	36	8	order	order	NOUN
crl-14213	36	9	quantity	quantity	NOUN
crl-14213	36	10	for	for	ADP
crl-14213	36	11	the	the	DET
crl-14213	36	12	ith	ith	PROPN
crl-14213	36	13	item	item	NOUN
crl-14213	36	14	and	and	CCONJ
crl-14213	36	15	the	the	DET
crl-14213	36	16	(	(	PUNCT
crl-14213	36	17	mac(joint	mac(joint	NOUN
crl-14213	36	18	)	)	PUNCT
crl-14213	36	19	)	)	PUNCT
crl-14213	36	20	are	be	AUX
crl-14213	36	21	given	give	VERB
crl-14213	36	22	by	by	ADP
crl-14213	36	23	for	for	ADP
crl-14213	36	24	.	.	PUNCT
crl-14213	37	1	mulas	mulas	PROPN
crl-14213	37	2	9	9	NUM
crl-14213	37	3	,	,	PUNCT
crl-14213	37	4	10	10	NUM
crl-14213	37	5	,	,	PUNCT
crl-14213	37	6	and	and	CCONJ
crl-14213	37	7	11	11	NUM
crl-14213	37	8	.	.	PUNCT
crl-14213	38	1	therefore	therefore	ADV
crl-14213	38	2	,	,	PUNCT
crl-14213	38	3	for	for	ADP
crl-14213	38	4	items	item	NOUN
crl-14213	38	5	purchased	purchase	VERB
crl-14213	38	6	from	from	ADP
crl-14213	38	7	a	a	DET
crl-14213	38	8	single	single	ADJ
crl-14213	38	9	supplier	supplier	NOUN
crl-14213	38	10	,	,	PUNCT
crl-14213	38	11	the	the	DET
crl-14213	38	12	following	follow	VERB
crl-14213	38	13	steps	step	NOUN
crl-14213	38	14	j	j	PROPN
crl-14213	38	15	(	(	PUNCT
crl-14213	38	16	eoqgoint	eoqgoint	NOUN
crl-14213	38	17	)	)	PUNCT
crl-14213	38	18	)	)	PUNCT
crl-14213	38	19	;	;	PUNCT
crl-14213	38	20	n	n	CCONJ
crl-14213	38	21	research	research	NOUN
crl-14213	38	22	notes	note	NOUN
crl-14213	38	23	277	277	NUM
crl-14213	38	24	should	should	AUX
crl-14213	38	25	be	be	AUX
crl-14213	38	26	implemented	implement	VERB
crl-14213	38	27	for	for	ADP
crl-14213	38	28	determining	determine	VERB
crl-14213	38	29	the	the	DET
crl-14213	38	30	economic	economic	ADJ
crl-14213	38	31	ordering	ordering	NOUN
crl-14213	38	32	policy	policy	NOUN
crl-14213	38	33	.	.	PUNCT
crl-14213	39	1	a	a	DET
crl-14213	39	2	systematic	systematic	ADJ
crl-14213	39	3	procedure	procedure	NOUN
crl-14213	39	4	for	for	ADP
crl-14213	39	5	determining	determine	VERB
crl-14213	39	6	the	the	DET
crl-14213	39	7	economic	economic	ADJ
crl-14213	39	8	policy	policy	NOUN
crl-14213	39	9	step	step	NOUN
crl-14213	39	10	1	1	NUM
crl-14213	39	11	.	.	PUNCT
crl-14213	39	12	for	for	ADP
crl-14213	39	13	each	each	DET
crl-14213	39	14	item	item	NOUN
crl-14213	39	15	i=1	i=1	PROPN
crl-14213	39	16	,	,	PUNCT
crl-14213	39	17	2	2	NUM
crl-14213	39	18	,	,	PUNCT
crl-14213	39	19	...	...	PUNCT
crl-14213	39	20	,	,	PUNCT
crl-14213	39	21	n	n	PROPN
crl-14213	39	22	,	,	PUNCT
crl-14213	39	23	evaluate	evaluate	VERB
crl-14213	39	24	(	(	PUNCT
crl-14213	39	25	eoq	eoq	ADV
crl-14213	39	26	)	)	PUNCT
crl-14213	39	27	;	;	PUNCT
crl-14213	39	28	from	from	ADP
crl-14213	39	29	(	(	PUNCT
crl-14213	39	30	1	1	NUM
crl-14213	39	31	)	)	PUNCT
crl-14213	39	32	,	,	PUNCT
crl-14213	39	33	and	and	CCONJ
crl-14213	39	34	(	(	PUNCT
crl-14213	39	35	mac(eoq	mac(eoq	NUM
crl-14213	39	36	)	)	PUNCT
crl-14213	39	37	)	)	PUNCT
crl-14213	39	38	from	from	ADP
crl-14213	39	39	(	(	PUNCT
crl-14213	39	40	3	3	NUM
crl-14213	39	41	)	)	PUNCT
crl-14213	39	42	.	.	PUNCT
crl-14213	40	1	step	step	NOUN
crl-14213	40	2	2	2	NUM
crl-14213	40	3	.	.	X
crl-14213	40	4	obtain	obtain	VERB
crl-14213	40	5	(	(	PUNCT
crl-14213	40	6	eoq(joint	eoq(joint	NOUN
crl-14213	40	7	)	)	PUNCT
crl-14213	40	8	)	)	PUNCT
crl-14213	40	9	;	;	PUNCT
crl-14213	40	10	from	from	ADP
crl-14213	40	11	(	(	PUNCT
crl-14213	40	12	7	7	NUM
crl-14213	40	13	}	}	PUNCT
crl-14213	40	14	,	,	PUNCT
crl-14213	40	15	evaluate	evaluate	VERB
crl-14213	40	16	(	(	PUNCT
crl-14213	40	17	eoq(joint	eoq(joint	NOUN
crl-14213	40	18	)	)	PUNCT
crl-14213	40	19	)	)	PUNCT
crl-14213	40	20	;	;	PUNCT
crl-14213	40	21	and	and	CCONJ
crl-14213	40	22	select	select	VERB
crl-14213	40	23	the	the	DET
crl-14213	40	24	nearest	near	ADJ
crl-14213	40	25	non	non	ADJ
crl-14213	40	26	-	-	ADJ
crl-14213	40	27	zero	zero	NUM
crl-14213	40	28	integer	integer	NOUN
crl-14213	40	29	as	as	ADP
crl-14213	40	30	the	the	DET
crl-14213	40	31	value	value	NOUN
crl-14213	40	32	of	of	ADP
crl-14213	40	33	k	k	PROPN
crl-14213	40	34	;	;	PUNCT
crl-14213	40	35	for	for	ADP
crl-14213	40	36	i=1	i=1	PROPN
crl-14213	40	37	,	,	PUNCT
crl-14213	40	38	2	2	NUM
crl-14213	40	39	,	,	PUNCT
crl-14213	40	40	...	...	PUNCT
crl-14213	40	41	,	,	PUNCT
crl-14213	40	42	n.	n.	PROPN
crl-14213	40	43	step	step	NOUN
crl-14213	40	44	3	3	NUM
crl-14213	40	45	.	.	PUNCT
crl-14213	40	46	determine	determine	VERB
crl-14213	40	47	(	(	PUNCT
crl-14213	40	48	mac(joint	mac(joint	NOUN
crl-14213	40	49	)	)	PUNCT
crl-14213	40	50	}	}	PUNCT
crl-14213	40	51	from	from	ADP
crl-14213	40	52	(	(	PUNCT
crl-14213	40	53	11	11	NUM
crl-14213	40	54	)	)	PUNCT
crl-14213	40	55	,	,	PUNCT
crl-14213	40	56	if	if	SCONJ
crl-14213	40	57	(	(	PUNCT
crl-14213	40	58	mac(eoq	mac(eoq	NUM
crl-14213	40	59	)	)	PUNCT
crl-14213	40	60	)	)	PUNCT
crl-14213	40	61	~	~	PUNCT
crl-14213	40	62	(	(	PUNCT
crl-14213	40	63	mac(joint	mac(joint	NOUN
crl-14213	40	64	)	)	PUNCT
crl-14213	40	65	)	)	PUNCT
crl-14213	40	66	then	then	ADV
crl-14213	40	67	select	select	VERB
crl-14213	40	68	(	(	PUNCT
crl-14213	40	69	eoq	eoq	ADV
crl-14213	40	70	)	)	PUNCT
crl-14213	40	71	;	;	PUNCT
crl-14213	40	72	as	as	ADP
crl-14213	40	73	the	the	DET
crl-14213	40	74	order	order	NOUN
crl-14213	40	75	quantity	quantity	NOUN
crl-14213	40	76	for	for	ADP
crl-14213	40	77	each	each	DET
crl-14213	40	78	item	item	NOUN
crl-14213	40	79	and	and	CCONJ
crl-14213	40	80	the	the	DET
crl-14213	40	81	policy	policy	NOUN
crl-14213	40	82	is	be	AUX
crl-14213	40	83	to	to	PART
crl-14213	40	84	order	order	VERB
crl-14213	40	85	items	item	NOUN
crl-14213	40	86	individually	individually	ADV
crl-14213	40	87	.	.	PUNCT
crl-14213	41	1	if	if	SCONJ
crl-14213	41	2	(	(	PUNCT
crl-14213	41	3	mac(eoq	mac(eoq	NUM
crl-14213	41	4	)	)	PUNCT
crl-14213	41	5	)	)	PUNCT
crl-14213	41	6	>	>	PROPN
crl-14213	41	7	(	(	PUNCT
crl-14213	41	8	mac(joint	mac(joint	NOUN
crl-14213	41	9	)	)	PUNCT
crl-14213	41	10	)	)	PUNCT
crl-14213	41	11	then	then	ADV
crl-14213	41	12	items	item	NOUN
crl-14213	41	13	are	be	AUX
crl-14213	41	14	ordered	order	VERB
crl-14213	41	15	jointly	jointly	ADV
crl-14213	41	16	.	.	PUNCT
crl-14213	42	1	an	an	DET
crl-14213	42	2	example	example	NOUN
crl-14213	42	3	a	a	DET
crl-14213	42	4	library	library	NOUN
crl-14213	42	5	orders	order	NOUN
crl-14213	42	6	photocopying	photocopy	VERB
crl-14213	42	7	paper	paper	NOUN
crl-14213	42	8	in	in	ADP
crl-14213	42	9	two	two	NUM
crl-14213	42	10	sizes	size	NOUN
crl-14213	42	11	from	from	ADP
crl-14213	42	12	a	a	DET
crl-14213	42	13	supplier	supplier	NOUN
crl-14213	42	14	.	.	PUNCT
crl-14213	43	1	the	the	DET
crl-14213	43	2	various	various	ADJ
crl-14213	43	3	es(8	es(8	PROPN
crl-14213	43	4	)	)	PUNCT
crl-14213	43	5	2(5	2(5	NOUN
crl-14213	44	1	+	+	NUM
crl-14213	44	2	i	i	NOUN
crl-14213	44	3	:	:	PUNCT
crl-14213	44	4	5	5	NUM
crl-14213	44	5	/	/	SYM
crl-14213	44	6	k	k	NUM
crl-14213	44	7	;)	;)	X
crl-14213	44	8	i=1	i=1	NOUN
crl-14213	44	9	t(joint	t(joint	NOUN
crl-14213	44	10	)	)	PUNCT
crl-14213	44	11	(	(	PUNCT
crl-14213	44	12	9	9	NUM
crl-14213	44	13	)	)	PUNCT
crl-14213	44	14	(	(	PUNCT
crl-14213	44	15	eoqgoint	eoqgoint	NOUN
crl-14213	44	16	)	)	PUNCT
crl-14213	44	17	)	)	PUNCT
crl-14213	44	18	;	;	PUNCT
crl-14213	44	19	d	d	X
crl-14213	44	20	;	;	PUNCT
crl-14213	44	21	•	•	ADJ
crl-14213	44	22	tgoint	tgoint	NOUN
crl-14213	44	23	)	)	PUNCT
crl-14213	44	24	(	(	PUNCT
crl-14213	44	25	10	10	NUM
crl-14213	44	26	)	)	PUNCT
crl-14213	44	27	n	n	CCONJ
crl-14213	44	28	n	n	CCONJ
crl-14213	44	29	(	(	PUNCT
crl-14213	44	30	macgoint	macgoint	NOUN
crl-14213	44	31	)	)	PUNCT
crl-14213	44	32	)	)	PUNCT
crl-14213	44	33	2(5	2(5	NOUN
crl-14213	45	1	+	+	NUM
crl-14213	45	2	i	i	NOUN
crl-14213	45	3	:	:	PUNCT
crl-14213	45	4	5;/k	5;/k	NUM
crl-14213	45	5	;)	;)	X
crl-14213	45	6	i	i	PRON
crl-14213	45	7	:	:	PUNCT
crl-14213	45	8	d;k;h	d;k;h	VERB
crl-14213	45	9	;	;	PUNCT
crl-14213	45	10	(	(	PUNCT
crl-14213	45	11	11	11	NUM
crl-14213	45	12	)	)	PUNCT
crl-14213	45	13	i=1	i=1	PROPN
crl-14213	45	14	i=1	i=1	PROPN
crl-14213	45	15	278	278	NUM
crl-14213	45	16	college	college	PROPN
crl-14213	45	17	&	&	CCONJ
crl-14213	45	18	research	research	PROPN
crl-14213	45	19	libraries	library	NOUN
crl-14213	45	20	may	may	AUX
crl-14213	45	21	1986	1986	NUM
crl-14213	45	22	step	step	VERB
crl-14213	45	23	1	1	NUM
crl-14213	45	24	.	.	PUNCT
crl-14213	45	25	from	from	ADP
crl-14213	45	26	(	(	PUNCT
crl-14213	45	27	1	1	NUM
crl-14213	45	28	):	):	SYM
crl-14213	45	29	i	i	NOUN
crl-14213	45	30	2d1(5	2d1(5	NUM
crl-14213	46	1	+	+	NUM
crl-14213	46	2	5	5	NUM
crl-14213	46	3	t	t	NOUN
crl-14213	46	4	)	)	PUNCT
crl-14213	46	5	j	j	PROPN
crl-14213	46	6	(	(	PUNCT
crl-14213	46	7	eoqh	eoqh	PROPN
crl-14213	46	8	h1	h1	PROPN
crl-14213	46	9	237boxes	237boxe	NOUN
crl-14213	47	1	i	i	PRON
crl-14213	47	2	2d2(s	2d2(s	NUM
crl-14213	47	3	+	+	NUM
crl-14213	47	4	52	52	NUM
crl-14213	47	5	)	)	PUNCT
crl-14213	47	6	j	j	PROPN
crl-14213	47	7	(	(	PUNCT
crl-14213	47	8	eoqh	eoqh	PROPN
crl-14213	47	9	h2	h2	PROPN
crl-14213	47	10	87boxes	87boxe	NOUN
crl-14213	47	11	from	from	ADP
crl-14213	47	12	(	(	PUNCT
crl-14213	47	13	3	3	NUM
crl-14213	47	14	):	):	PUNCT
crl-14213	47	15	(	(	PUNCT
crl-14213	47	16	mac(eoq	mac(eoq	NUM
crl-14213	47	17	)	)	PUNCT
crl-14213	47	18	)	)	PUNCT
crl-14213	48	1	/	/	PUNCT
crl-14213	48	2	21d1h1(5	21d1h1(5	NUM
crl-14213	49	1	+	+	NUM
crl-14213	49	2	51	51	NUM
crl-14213	49	3	)	)	PUNCT
crl-14213	50	1	+	+	CCONJ
crl-14213	50	2	/	/	SYM
crl-14213	50	3	/	/	SYM
crl-14213	50	4	2	2	NUM
crl-14213	50	5	x	x	SYM
crl-14213	50	6	1000	1000	NUM
crl-14213	50	7	x	x	SYM
crl-14213	50	8	1(20	1(20	NUM
crl-14213	50	9	+	+	CCONJ
crl-14213	50	10	8)	8)	NUM
crl-14213	50	11	+	+	NOUN
crl-14213	50	12	i	i	NOUN
crl-14213	50	13	236.64	236.64	NUM
crl-14213	50	14	+	+	NUM
crl-14213	50	15	96.12	96.12	NUM
crl-14213	50	16	$	$	SYM
crl-14213	50	17	332.76	332.76	NUM
crl-14213	50	18	per	per	ADP
crl-14213	50	19	year	year	NOUN
crl-14213	50	20	step	step	NOUN
crl-14213	50	21	2	2	NUM
crl-14213	50	22	.	.	PUNCT
crl-14213	50	23	from	from	ADP
crl-14213	50	24	(	(	PUNCT
crl-14213	50	25	7	7	NUM
crl-14213	50	26	):	):	SYM
crl-14213	50	27	2(5	2(5	NUM
crl-14213	51	1	+	+	NUM
crl-14213	51	2	51	51	NUM
crl-14213	51	3	+	+	NUM
crl-14213	51	4	52	52	NUM
crl-14213	51	5	)	)	PUNCT
crl-14213	51	6	(	(	PUNCT
crl-14213	51	7	eoqgoint)h	eoqgoint)h	X
crl-14213	51	8	dt	dt	VERB
crl-14213	51	9	1000	1000	NUM
crl-14213	51	10	249boxes	249boxes	PROPN
crl-14213	51	11	.	.	PUNCT
crl-14213	51	12	.	.	PUNCT
crl-14213	52	1	(	(	PUNCT
crl-14213	52	2	eoqgoint)h	eoqgoint)h	PROPN
crl-14213	52	3	d2	d2	PROPN
crl-14213	52	4	37boxes	37boxe	NOUN
crl-14213	52	5	.	.	PUNCT
crl-14213	53	1	(	(	PUNCT
crl-14213	53	2	eoqgoint))t	eoqgoint))t	PROPN
crl-14213	53	3	(	(	PUNCT
crl-14213	53	4	eoqgoint)h	eoqgoint)h	NOUN
crl-14213	53	5	step	step	NOUN
crl-14213	53	6	3	3	NUM
crl-14213	53	7	.	.	PUNCT
crl-14213	53	8	from	from	ADP
crl-14213	53	9	(	(	PUNCT
crl-14213	53	10	11	11	NUM
crl-14213	53	11	):	):	PUNCT
crl-14213	53	12	(	(	PUNCT
crl-14213	53	13	macgoint	macgoint	NOUN
crl-14213	53	14	)	)	PUNCT
crl-14213	53	15	)	)	PUNCT
crl-14213	53	16	/	/	PUNCT
crl-14213	54	1	d1h	d1h	ADJ
crl-14213	54	2	1	1	NUM
crl-14213	54	3	+	+	NUM
crl-14213	54	4	d2h2	d2h2	X
crl-14213	54	5	v	v	NOUN
crl-14213	54	6	2	2	NUM
crl-14213	54	7	x	x	SYM
crl-14213	54	8	1000	1000	NUM
crl-14213	54	9	8/1	8/1	NUM
crl-14213	54	10	249	249	NUM
crl-14213	54	11	v	v	NOUN
crl-14213	54	12	'	'	NUM
crl-14213	54	13	2x150x8/1.1	2x150x8/1.1	NUM
crl-14213	54	14	37	37	NUM
crl-14213	54	15	/	/	SYM
crl-14213	54	16	2(20	2(20	NUM
crl-14213	54	17	+	+	NUM
crl-14213	54	18	8	8	NUM
crl-14213	54	19	+	+	NUM
crl-14213	54	20	8)(1000x1x1	8)(1000x1x1	NOUN
crl-14213	54	21	+	+	NUM
crl-14213	54	22	150x1.1x1	150x1.1x1	PROPN
crl-14213	54	23	)	)	PUNCT
crl-14213	55	1	=	=	PUNCT
crl-14213	55	2	$	$	SYM
crl-14213	55	3	289.62	289.62	NUM
crl-14213	55	4	per	per	ADP
crl-14213	55	5	year	year	NOUN
crl-14213	55	6	figure	figure	NOUN
crl-14213	55	7	1	1	NUM
crl-14213	55	8	2	2	NUM
crl-14213	55	9	x	x	SYM
crl-14213	55	10	1000(20	1000(20	NUM
crl-14213	55	11	+	+	NUM
crl-14213	55	12	8)	8)	NUM
crl-14213	55	13	1	1	NUM
crl-14213	55	14	2	2	NUM
crl-14213	55	15	x	x	SYM
crl-14213	55	16	150(20	150(20	NUM
crl-14213	56	1	+	+	NUM
crl-14213	56	2	8)	8)	NUM
crl-14213	56	3	1.1	1.1	NUM
crl-14213	56	4	2d2h2(s	2d2h2(s	NOUN
crl-14213	56	5	+	+	PUNCT
crl-14213	56	6	s2	s2	NOUN
crl-14213	56	7	)	)	PUNCT
crl-14213	57	1	2	2	NUM
crl-14213	57	2	x	x	SYM
crl-14213	57	3	150	150	NUM
crl-14213	57	4	x	x	SYM
crl-14213	57	5	1.1(20	1.1(20	NUM
crl-14213	57	6	+	+	NUM
crl-14213	57	7	8)	8)	NUM
crl-14213	57	8	2(20	2(20	NUM
crl-14213	57	9	+	+	SYM
crl-14213	57	10	8	8	NUM
crl-14213	57	11	+	+	NUM
crl-14213	57	12	8)	8)	NUM
crl-14213	57	13	(	(	PUNCT
crl-14213	57	14	1000x1	1000x1	NOUN
crl-14213	57	15	+	+	NUM
crl-14213	57	16	150x1.1	150x1.1	NUM
crl-14213	57	17	)	)	PUNCT
crl-14213	57	18	0.51	0.51	NUM
crl-14213	57	19	,	,	PUNCT
crl-14213	57	20	hence	hence	ADV
crl-14213	57	21	k1	k1	PROPN
crl-14213	57	22	=	=	SYM
crl-14213	57	23	1	1	NUM
crl-14213	57	24	1.26	1.26	NUM
crl-14213	57	25	,	,	PUNCT
crl-14213	57	26	hence	hence	ADV
crl-14213	57	27	k2	k2	PROPN
crl-14213	57	28	=	=	SYM
crl-14213	57	29	1	1	NUM
crl-14213	57	30	research	research	NOUN
crl-14213	57	31	notes	note	NOUN
crl-14213	57	32	279	279	NUM
crl-14213	57	33	2(20	2(20	NUM
crl-14213	57	34	+	+	SYM
crl-14213	57	35	8	8	NUM
crl-14213	57	36	+	+	NUM
crl-14213	57	37	8)	8)	NUM
crl-14213	57	38	to	to	ADP
crl-14213	57	39	oint	oint	ADJ
crl-14213	57	40	)	)	PUNCT
crl-14213	57	41	1000	1000	NUM
crl-14213	57	42	+	+	NUM
crl-14213	57	43	165	165	NUM
crl-14213	57	44	0.249	0.249	NUM
crl-14213	57	45	years	year	NOUN
crl-14213	57	46	·	·	PUNCT
crl-14213	57	47	(	(	PUNCT
crl-14213	57	48	eoqooint))t	eoqooint))t	NOUN
crl-14213	57	49	249	249	NUM
crl-14213	57	50	boxes	box	NOUN
crl-14213	57	51	;	;	PUNCT
crl-14213	57	52	(	(	PUNCT
crl-14213	57	53	eoqooint)h	eoqooint)h	VERB
crl-14213	57	54	=	=	SYM
crl-14213	57	55	37	37	NUM
crl-14213	57	56	boxes	box	NOUN
crl-14213	57	57	figure2	figure2	VERB
crl-14213	57	58	timates	timate	VERB
crl-14213	57	59	for	for	ADP
crl-14213	57	60	the	the	DET
crl-14213	57	61	problem	problem	NOUN
crl-14213	57	62	are	be	AUX
crl-14213	57	63	given	give	VERB
crl-14213	57	64	below	below	ADV
crl-14213	57	65	:	:	PUNCT
crl-14213	57	66	s	s	X
crl-14213	57	67	=	=	X
crl-14213	57	68	$	$	SYM
crl-14213	57	69	20	20	NUM
crl-14213	57	70	per	per	ADP
crl-14213	57	71	order	order	NOUN
crl-14213	57	72	for	for	ADP
crl-14213	57	73	size	size	NOUN
crl-14213	57	74	1	1	NUM
crl-14213	57	75	:	:	PUNCT
crl-14213	57	76	i	i	PRON
crl-14213	57	77	=	=	NOUN
crl-14213	57	78	1	1	NUM
crl-14213	57	79	d1	d1	ADV
crl-14213	57	80	=	=	NOUN
crl-14213	57	81	1000	1000	NUM
crl-14213	57	82	boxes	box	NOUN
crl-14213	57	83	/	/	SYM
crl-14213	57	84	per	per	ADP
crl-14213	57	85	year	year	NOUN
crl-14213	57	86	sl	sl	INTJ
crl-14213	57	87	=	=	INTJ
crl-14213	57	88	$	$	SYM
crl-14213	57	89	8	8	NUM
crl-14213	57	90	per	per	ADP
crl-14213	57	91	order	order	NOUN
crl-14213	57	92	h1	h1	VERB
crl-14213	57	93	=	=	X
crl-14213	57	94	$	$	SYM
crl-14213	57	95	1	1	NUM
crl-14213	57	96	per	per	ADP
crl-14213	57	97	box	box	NOUN
crl-14213	57	98	per	per	ADP
crl-14213	57	99	year	year	NOUN
crl-14213	57	100	for	for	ADP
crl-14213	57	101	size	size	NOUN
crl-14213	57	102	2	2	NUM
crl-14213	57	103	:	:	PUNCT
crl-14213	57	104	i=2	i=2	PROPN
crl-14213	57	105	d2	d2	PROPN
crl-14213	57	106	=	=	PROPN
crl-14213	57	107	150	150	NUM
crl-14213	57	108	boxes	box	NOUN
crl-14213	57	109	per	per	ADP
crl-14213	57	110	year	year	NOUN
crl-14213	57	111	52	52	NUM
crl-14213	57	112	=	=	SYM
crl-14213	57	113	$	$	SYM
crl-14213	57	114	8	8	NUM
crl-14213	57	115	per	per	ADP
crl-14213	57	116	order	order	NOUN
crl-14213	57	117	h2	h2	NOUN
crl-14213	57	118	=	=	PUNCT
crl-14213	57	119	$	$	SYM
crl-14213	57	120	1.10	1.10	NUM
crl-14213	57	121	per	per	ADP
crl-14213	57	122	box	box	NOUN
crl-14213	57	123	per	per	ADP
crl-14213	57	124	year	year	NOUN
crl-14213	57	125	we	we	PRON
crl-14213	57	126	apply	apply	VERB
crl-14213	57	127	the	the	DET
crl-14213	57	128	three	three	NUM
crl-14213	57	129	steps	step	NOUN
crl-14213	57	130	to	to	ADP
crl-14213	57	131	this	this	DET
crl-14213	57	132	problem	problem	NOUN
crl-14213	57	133	as	as	SCONJ
crl-14213	57	134	shown	show	VERB
crl-14213	57	135	in	in	ADP
crl-14213	57	136	figure	figure	NOUN
crl-14213	57	137	1	1	NUM
crl-14213	57	138	.	.	PUNCT
crl-14213	58	1	because	because	SCONJ
crl-14213	58	2	(	(	PUNCT
crl-14213	58	3	mac(joint	mac(joint	NOUN
crl-14213	58	4	)	)	PUNCT
crl-14213	58	5	)	)	PUNCT
crl-14213	58	6	is	be	AUX
crl-14213	58	7	lower	low	ADJ
crl-14213	58	8	than	than	ADP
crl-14213	58	9	(	(	PUNCT
crl-14213	58	10	mac(eoq	mac(eoq	X
crl-14213	58	11	)	)	PUNCT
crl-14213	58	12	)	)	PUNCT
crl-14213	58	13	,	,	PUNCT
crl-14213	58	14	the	the	DET
crl-14213	58	15	economic	economic	ADJ
crl-14213	58	16	policy	policy	NOUN
crl-14213	58	17	is	be	AUX
crl-14213	58	18	to	to	PART
crl-14213	58	19	order	order	VERB
crl-14213	58	20	jointly	jointly	ADV
crl-14213	58	21	.	.	PUNCT
crl-14213	59	1	the	the	DET
crl-14213	59	2	orders	order	NOUN
crl-14213	59	3	are	be	AUX
crl-14213	59	4	placed	place	VERB
crl-14213	59	5	at	at	ADP
crl-14213	59	6	intervals	interval	NOUN
crl-14213	59	7	obtained	obtain	VERB
crl-14213	59	8	from	from	ADP
crl-14213	59	9	(	(	PUNCT
crl-14213	59	10	9	9	NUM
crl-14213	59	11	)	)	PUNCT
crl-14213	59	12	.	.	PUNCT
crl-14213	60	1	(	(	PUNCT
crl-14213	60	2	see	see	VERB
crl-14213	60	3	figure	figure	NOUN
crl-14213	60	4	2	2	NUM
crl-14213	60	5	.	.	PUNCT
crl-14213	60	6	)	)	PUNCT
crl-14213	61	1	the	the	DET
crl-14213	61	2	reduction	reduction	NOUN
crl-14213	61	3	in	in	ADP
crl-14213	61	4	cost	cost	NOUN
crl-14213	61	5	as	as	ADP
crl-14213	61	6	a	a	DET
crl-14213	61	7	result	result	NOUN
crl-14213	61	8	of	of	ADP
crl-14213	61	9	ordering	order	VERB
crl-14213	61	10	jointly	jointly	ADV
crl-14213	61	11	(	(	PUNCT
crl-14213	61	12	mac(eoq))(macooint	mac(eoq))(macooint	NOUN
crl-14213	61	13	)	)	PUNCT
crl-14213	61	14	)	)	PUNCT
crl-14213	62	1	332.76	332.76	NUM
crl-14213	62	2	-	-	SYM
crl-14213	62	3	289.62	289.62	NUM
crl-14213	62	4	$	$	SYM
crl-14213	62	5	43.14	43.14	NUM
crl-14213	62	6	per	per	ADP
crl-14213	62	7	year	year	NOUN
crl-14213	62	8	the	the	DET
crl-14213	62	9	percentage	percentage	NOUN
crl-14213	62	10	reduction	reduction	NOUN
crl-14213	62	11	in	in	ADP
crl-14213	62	12	cost	cost	NOUN
crl-14213	62	13	100	100	NUM
crl-14213	62	14	x	x	NUM
crl-14213	62	15	[	[	X
crl-14213	62	16	(	(	PUNCT
crl-14213	62	17	mac(eoq))-(macooint	mac(eoq))-(macooint	PROPN
crl-14213	62	18	)	)	PUNCT
crl-14213	62	19	)	)	PUNCT
crl-14213	62	20	]	]	PUNCT
crl-14213	62	21	(	(	PUNCT
crl-14213	62	22	mac(eoq	mac(eoq	NUM
crl-14213	62	23	)	)	PUNCT
crl-14213	62	24	)	)	PUNCT
crl-14213	62	25	100(332.76289.62	100(332.76289.62	NUM
crl-14213	62	26	)	)	PUNCT
crl-14213	62	27	332.76	332.76	NUM
crl-14213	62	28	12.96	12.96	NUM
crl-14213	62	29	%	%	NOUN
crl-14213	62	30	concluding	concluding	NOUN
crl-14213	62	31	remarks	remark	NOUN
crl-14213	62	32	as	as	ADP
crl-14213	62	33	a	a	DET
crl-14213	62	34	result	result	NOUN
crl-14213	62	35	of	of	ADP
crl-14213	62	36	ordering	order	VERB
crl-14213	62	37	items	item	NOUN
crl-14213	62	38	from	from	ADP
crl-14213	62	39	a	a	DET
crl-14213	62	40	single	single	ADJ
crl-14213	62	41	supplier	supplier	NOUN
crl-14213	62	42	in	in	ADP
crl-14213	62	43	an	an	DET
crl-14213	62	44	economical	economical	ADJ
crl-14213	62	45	manner	manner	NOUN
crl-14213	62	46	,	,	PUNCT
crl-14213	62	47	significant	significant	ADJ
crl-14213	62	48	cost	cost	NOUN
crl-14213	62	49	savings	saving	NOUN
crl-14213	62	50	can	can	AUX
crl-14213	62	51	be	be	AUX
crl-14213	62	52	achieved	achieve	VERB
crl-14213	62	53	.	.	PUNCT
crl-14213	63	1	the	the	DET
crl-14213	63	2	procedure	procedure	NOUN
crl-14213	63	3	given	give	VERB
crl-14213	63	4	in	in	ADP
crl-14213	63	5	this	this	DET
crl-14213	63	6	paper	paper	NOUN
crl-14213	63	7	can	can	AUX
crl-14213	63	8	help	help	VERB
crl-14213	63	9	in	in	ADP
crl-14213	63	10	achieving	achieve	VERB
crl-14213	63	11	such	such	ADJ
crl-14213	63	12	savings	saving	NOUN
crl-14213	63	13	.	.	PUNCT
crl-14213	64	1	references	reference	NOUN
crl-14213	64	2	1	1	NUM
crl-14213	64	3	.	.	PUNCT
crl-14213	64	4	f.	f.	PROPN
crl-14213	64	5	t.	t.	PROPN
crl-14213	64	6	shu	shu	PROPN
crl-14213	64	7	,	,	PUNCT
crl-14213	64	8	"	"	PUNCT
crl-14213	64	9	economic	economic	ADJ
crl-14213	64	10	ordering	ordering	NOUN
crl-14213	64	11	frequency	frequency	NOUN
crl-14213	64	12	for	for	ADP
crl-14213	64	13	two	two	NUM
crl-14213	64	14	items	item	NOUN
crl-14213	64	15	jointly	jointly	ADV
crl-14213	64	16	replenished	replenish	VERB
crl-14213	64	17	,	,	PUNCT
crl-14213	64	18	"	"	PUNCT
crl-14213	64	19	management	management	NOUN
crl-14213	64	20	science	science	NOUN
crl-14213	64	21	10:406	10:406	NUM
crl-14213	64	22	-	-	SYM
crl-14213	64	23	10	10	NUM
crl-14213	64	24	(	(	PUNCT
crl-14213	64	25	1971	1971	NUM
crl-14213	64	26	)	)	PUNCT
crl-14213	64	27	.	.	PUNCT
crl-14213	65	1	2	2	X
crl-14213	65	2	.	.	PROPN
crl-14213	65	3	s.	s.	PROPN
crl-14213	65	4	k.	k.	PROPN
crl-14213	65	5	goyal	goyal	PROPN
crl-14213	65	6	,	,	PUNCT
crl-14213	65	7	"	"	PUNCT
crl-14213	65	8	determination	determination	NOUN
crl-14213	65	9	of	of	ADP
crl-14213	65	10	economic	economic	ADJ
crl-14213	65	11	packaging	packaging	NOUN
crl-14213	65	12	frequency	frequency	NOUN
crl-14213	65	13	for	for	ADP
crl-14213	65	14	items	item	NOUN
crl-14213	65	15	jointly	jointly	ADV
crl-14213	65	16	replenished	replenish	VERB
crl-14213	65	17	,	,	PUNCT
crl-14213	65	18	"	"	PUNCT
crl-14213	65	19	management	management	NOUN
crl-14213	65	20	science	science	NOUN
crl-14213	65	21	20:232	20:232	NUM
crl-14213	65	22	-	-	PUNCT
crl-14213	65	23	35	35	NUM
crl-14213	65	24	(	(	PUNCT
crl-14213	65	25	1973	1973	NUM
crl-14213	65	26	)	)	PUNCT
crl-14213	65	27	.	.	PUNCT
crl-14213	66	1	3	3	X
crl-14213	66	2	.	.	PROPN
crl-14213	66	3	s.	s.	PROPN
crl-14213	66	4	k.	k.	PROPN
crl-14213	66	5	goyal	goyal	PROPN
crl-14213	66	6	,	,	PUNCT
crl-14213	66	7	"	"	PUNCT
crl-14213	66	8	determination	determination	NOUN
crl-14213	66	9	of	of	ADP
crl-14213	66	10	optimum	optimum	ADJ
crl-14213	66	11	packaging	packaging	NOUN
crl-14213	66	12	frequency	frequency	NOUN
crl-14213	66	13	of	of	ADP
crl-14213	66	14	items	item	NOUN
crl-14213	66	15	jointly	jointly	ADV
crl-14213	66	16	replenished	replenish	VERB
crl-14213	66	17	,	,	PUNCT
crl-14213	66	18	"	"	PUNCT
crl-14213	66	19	management	management	NOUN
crl-14213	66	20	science	science	NOUN
crl-14213	66	21	,	,	PUNCT
crl-14213	66	22	21	21	NUM
crl-14213	66	23	:	:	PUNCT
crl-14213	66	24	436	436	NUM
crl-14213	66	25	-	-	SYM
crl-14213	66	26	43	43	NUM
crl-14213	66	27	(	(	PUNCT
crl-14213	66	28	1974	1974	NUM
crl-14213	66	29	)	)	PUNCT
crl-14213	66	30	.	.	PUNCT
crl-14213	67	1	4	4	X
crl-14213	67	2	.	.	X
crl-14213	67	3	e.	e.	PROPN
crl-14213	67	4	a	a	PRON
crl-14213	67	5	.	.	PUNCT
crl-14213	67	6	silver	silver	NOUN
crl-14213	67	7	,	,	PUNCT
crl-14213	67	8	"	"	PUNCT
crl-14213	67	9	a	a	DET
crl-14213	67	10	simple	simple	ADJ
crl-14213	67	11	method	method	NOUN
crl-14213	67	12	of	of	ADP
crl-14213	67	13	determining	determine	VERB
crl-14213	67	14	order	order	NOUN
crl-14213	67	15	quantities	quantity	NOUN
crl-14213	67	16	in	in	ADP
crl-14213	67	17	joint	joint	ADJ
crl-14213	67	18	replenishment	replenishment	NOUN
crl-14213	67	19	under	under	ADP
crl-14213	67	20	deterministic	deterministic	ADJ
crl-14213	67	21	demand	demand	NOUN
crl-14213	67	22	,	,	PUNCT
crl-14213	67	23	"	"	PUNCT
crl-14213	67	24	management	management	NOUN
crl-14213	67	25	science	science	NOUN
crl-14213	67	26	12:1351	12:1351	NUM
crl-14213	67	27	-	-	PUNCT
crl-14213	67	28	61	61	NUM
crl-14213	67	29	(	(	PUNCT
crl-14213	67	30	1976	1976	NUM
crl-14213	67	31	)	)	PUNCT
crl-14213	67	32	.	.	PUNCT
crl-14213	68	1	5	5	X
crl-14213	68	2	.	.	X
crl-14213	68	3	m.	m.	NOUN
crl-14213	68	4	kaspi	kaspi	PROPN
crl-14213	68	5	and	and	CCONJ
crl-14213	68	6	m.	m.	PROPN
crl-14213	68	7	j.	j.	PROPN
crl-14213	68	8	rosenblatt	rosenblatt	PROPN
crl-14213	68	9	,	,	PUNCT
crl-14213	68	10	"	"	PUNCT
crl-14213	68	11	an	an	DET
crl-14213	68	12	improvement	improvement	NOUN
crl-14213	68	13	of	of	ADP
crl-14213	68	14	silver	silver	NOUN
crl-14213	68	15	's	's	PART
crl-14213	68	16	algorithm	algorithm	NOUN
crl-14213	68	17	for	for	ADP
crl-14213	68	18	the	the	DET
crl-14213	68	19	joint	joint	ADJ
crl-14213	68	20	replenishment	replenishment	NOUN
crl-14213	68	21	problem	problem	NOUN
crl-14213	68	22	,	,	PUNCT
crl-14213	68	23	"	"	PUNCT
crl-14213	68	24	lie	lie	NOUN
crl-14213	68	25	(	(	PUNCT
crl-14213	68	26	transactions	transaction	NOUN
crl-14213	68	27	)	)	PUNCT
crl-14213	68	28	,	,	PUNCT
crl-14213	68	29	14:264	14:264	NUM
crl-14213	68	30	-	-	SYM
crl-14213	68	31	67	67	NUM
crl-14213	68	32	(	(	PUNCT
crl-14213	68	33	1968	1968	NUM
crl-14213	68	34	)	)	PUNCT
crl-14213	68	35	.	.	PUNCT
crl-14213	69	1	6	6	X
crl-14213	69	2	.	.	X
crl-14213	69	3	silver	silver	NOUN
crl-14213	69	4	,	,	PUNCT
crl-14213	69	5	"	"	PUNCT
crl-14213	69	6	a	a	DET
crl-14213	69	7	simple	simple	ADJ
crl-14213	69	8	method	method	NOUN
crl-14213	69	9	....	....	PUNCT
crl-14213	69	10	"	"	PUNCT
crl-14213	69	11	swets	swet	NOUN
crl-14213	69	12	...	...	PUNCT
crl-14213	69	13	an	an	DET
crl-14213	69	14	attractive	attractive	ADJ
crl-14213	69	15	,	,	PUNCT
crl-14213	69	16	many	many	ADJ
crl-14213	69	17	facetted	facet	VERB
crl-14213	69	18	and	and	CCONJ
crl-14213	69	19	transparent	transparent	ADJ
crl-14213	69	20	subscription	subscription	NOUN
crl-14213	69	21	seivice	seivice	NOUN
crl-14213	69	22	.	.	PUNCT
crl-14213	70	1	we	we	PRON
crl-14213	70	2	would	would	AUX
crl-14213	70	3	be	be	AUX
crl-14213	70	4	pleased	pleased	ADJ
crl-14213	70	5	to	to	PART
crl-14213	70	6	send	send	VERB
crl-14213	70	7	you	you	PRON
crl-14213	70	8	our	our	PRON
crl-14213	70	9	informative	informative	ADJ
crl-14213	70	10	brochure	brochure	NOUN
crl-14213	70	11	as	as	ADV
crl-14213	70	12	well	well	ADV
crl-14213	70	13	as	as	ADP
crl-14213	70	14	detailed	detailed	ADJ
crl-14213	70	15	documentation	documentation	NOUN
crl-14213	70	16	of	of	ADP
crl-14213	70	17	our	our	PRON
crl-14213	70	18	seivices	seivice	NOUN
crl-14213	70	19	.	.	PUNCT