id	sid	tid	token	lemma	pos
cana-1060	1	1	communications	communication	NOUN
cana-1060	1	2	on	on	ADP
cana-1060	1	3	applied	apply	VERB
cana-1060	1	4	nonlinear	nonlinear	ADJ
cana-1060	1	5	analysis	analysis	NOUN
cana-1060	1	6	issn	issn	NOUN
cana-1060	1	7	:	:	PUNCT
cana-1060	1	8	1074	1074	NUM
cana-1060	1	9	-	-	PUNCT
cana-1060	1	10	133x	133x	NUM
cana-1060	1	11	vol	vol	NOUN
cana-1060	1	12	31	31	NUM
cana-1060	1	13	no	no	NOUN
cana-1060	1	14	.	.	PUNCT
cana-1060	2	1	5s	5s	NUM
cana-1060	2	2	(	(	PUNCT
cana-1060	2	3	2024	2024	NUM
cana-1060	2	4	)	)	PUNCT
cana-1060	2	5	411	411	NUM
cana-1060	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	2	7	optimizing	optimize	VERB
cana-1060	2	8	advertising	advertising	NOUN
cana-1060	2	9	and	and	CCONJ
cana-1060	2	10	pricing	pricing	NOUN
cana-1060	2	11	for	for	ADP
cana-1060	2	12	perishable	perishable	ADJ
cana-1060	2	13	inventory	inventory	NOUN
cana-1060	2	14	with	with	ADP
cana-1060	2	15	freshness	freshness	NOUN
cana-1060	2	16	-	-	PUNCT
cana-1060	2	17	related	relate	VERB
cana-1060	2	18	demand	demand	NOUN
cana-1060	2	19	in	in	ADP
cana-1060	2	20	a	a	DET
cana-1060	2	21	hybrid	hybrid	ADJ
cana-1060	2	22	partial	partial	ADJ
cana-1060	2	23	prepayment	prepayment	NOUN
cana-1060	2	24	and	and	CCONJ
cana-1060	2	25	trade	trade	NOUN
cana-1060	2	26	credit	credit	NOUN
cana-1060	2	27	supply	supply	NOUN
cana-1060	2	28	chain	chain	NOUN
cana-1060	2	29	t.vanjikkodi1	t.vanjikkodi1	PROPN
cana-1060	2	30	*	*	PUNCT
cana-1060	2	31	,	,	PUNCT
cana-1060	2	32	v.	v.	ADP
cana-1060	2	33	pankajam2	pankajam2	NOUN
cana-1060	3	1	1department	1department	NUM
cana-1060	3	2	of	of	ADP
cana-1060	3	3	mathematics	mathematic	NOUN
cana-1060	3	4	,	,	PUNCT
cana-1060	3	5	sri	sri	PROPN
cana-1060	3	6	g.v.g	g.v.g	PROPN
cana-1060	3	7	.	.	PUNCT
cana-1060	4	1	visalakshi	visalakshi	PROPN
cana-1060	4	2	college	college	PROPN
cana-1060	4	3	for	for	ADP
cana-1060	4	4	women	woman	NOUN
cana-1060	4	5	,	,	PUNCT
cana-1060	4	6	udumalpet	udumalpet	ADJ
cana-1060	4	7	,	,	PUNCT
cana-1060	4	8	india	india	PROPN
cana-1060	4	9	.	.	PUNCT
cana-1060	5	1	vanjikkodi88@gmail.com	vanjikkodi88@gmail.com	X
cana-1060	6	1	2department	2department	NUM
cana-1060	6	2	of	of	ADP
cana-1060	6	3	mathematics	mathematic	NOUN
cana-1060	6	4	,	,	PUNCT
cana-1060	6	5	sri	sri	PROPN
cana-1060	6	6	g.v.g	g.v.g	PROPN
cana-1060	6	7	.	.	PUNCT
cana-1060	7	1	visalakshi	visalakshi	PROPN
cana-1060	7	2	college	college	PROPN
cana-1060	7	3	for	for	ADP
cana-1060	7	4	women	woman	NOUN
cana-1060	7	5	,	,	PUNCT
cana-1060	7	6	udumalpet	udumalpet	ADJ
cana-1060	7	7	,	,	PUNCT
cana-1060	7	8	india	india	PROPN
cana-1060	7	9	.	.	PUNCT
cana-1060	8	1	pankajamgurusamy@gmail.com	pankajamgurusamy@gmail.com	X
cana-1060	8	2	.	.	PUNCT
cana-1060	9	1	article	article	NOUN
cana-1060	9	2	history	history	NOUN
cana-1060	9	3	:	:	PUNCT
cana-1060	9	4	received	receive	VERB
cana-1060	9	5	:	:	PUNCT
cana-1060	9	6	16	16	NUM
cana-1060	9	7	-	-	SYM
cana-1060	9	8	05	05	NUM
cana-1060	9	9	-	-	PUNCT
cana-1060	9	10	2024	2024	NUM
cana-1060	9	11	revised	revise	VERB
cana-1060	9	12	:	:	PUNCT
cana-1060	9	13	23	23	NUM
cana-1060	9	14	-	-	SYM
cana-1060	9	15	06	06	NUM
cana-1060	9	16	-	-	PUNCT
cana-1060	9	17	2024	2024	NUM
cana-1060	9	18	accepted	accept	VERB
cana-1060	9	19	:	:	PUNCT
cana-1060	9	20	11	11	NUM
cana-1060	9	21	-	-	SYM
cana-1060	9	22	07	07	NUM
cana-1060	9	23	-	-	PUNCT
cana-1060	9	24	2024	2024	NUM
cana-1060	9	25	abstract	abstract	NOUN
cana-1060	9	26	:	:	PUNCT
cana-1060	9	27	this	this	DET
cana-1060	9	28	paper	paper	NOUN
cana-1060	9	29	investigates	investigate	VERB
cana-1060	9	30	an	an	DET
cana-1060	9	31	inventory	inventory	NOUN
cana-1060	9	32	model	model	NOUN
cana-1060	9	33	addressing	address	VERB
cana-1060	9	34	non	non	ADJ
cana-1060	9	35	-	-	ADJ
cana-1060	9	36	instantaneous	instantaneous	ADJ
cana-1060	9	37	deteriorating	deteriorate	VERB
cana-1060	9	38	items	item	NOUN
cana-1060	9	39	with	with	ADP
cana-1060	9	40	expiration	expiration	NOUN
cana-1060	9	41	concerns	concern	NOUN
cana-1060	9	42	,	,	PUNCT
cana-1060	9	43	incorporating	incorporate	VERB
cana-1060	9	44	a	a	DET
cana-1060	9	45	hybrid	hybrid	ADJ
cana-1060	9	46	payment	payment	NOUN
cana-1060	9	47	approach	approach	NOUN
cana-1060	9	48	.	.	PUNCT
cana-1060	10	1	the	the	DET
cana-1060	10	2	demand	demand	NOUN
cana-1060	10	3	factors	factor	NOUN
cana-1060	10	4	of	of	ADP
cana-1060	10	5	this	this	DET
cana-1060	10	6	study	study	NOUN
cana-1060	10	7	are	be	AUX
cana-1060	10	8	price	price	NOUN
cana-1060	10	9	-	-	PUNCT
cana-1060	10	10	sensitive	sensitive	ADJ
cana-1060	10	11	demand	demand	NOUN
cana-1060	10	12	,	,	PUNCT
cana-1060	10	13	product	product	NOUN
cana-1060	10	14	freshness	freshness	NOUN
cana-1060	10	15	considerations	consideration	NOUN
cana-1060	10	16	,	,	PUNCT
cana-1060	10	17	and	and	CCONJ
cana-1060	10	18	advertising	advertising	NOUN
cana-1060	10	19	frequency	frequency	NOUN
cana-1060	10	20	impact	impact	NOUN
cana-1060	10	21	,	,	PUNCT
cana-1060	10	22	which	which	PRON
cana-1060	10	23	are	be	AUX
cana-1060	10	24	critical	critical	ADJ
cana-1060	10	25	elements	element	NOUN
cana-1060	10	26	in	in	ADP
cana-1060	10	27	contemporary	contemporary	ADJ
cana-1060	10	28	supply	supply	NOUN
cana-1060	10	29	chain	chain	NOUN
cana-1060	10	30	challenges	challenge	NOUN
cana-1060	10	31	.	.	PUNCT
cana-1060	11	1	the	the	DET
cana-1060	11	2	proposed	propose	VERB
cana-1060	11	3	model	model	NOUN
cana-1060	11	4	investigates	investigate	VERB
cana-1060	11	5	multiple	multiple	ADJ
cana-1060	11	6	prepayments	prepayment	NOUN
cana-1060	11	7	and	and	CCONJ
cana-1060	11	8	delayed	delay	VERB
cana-1060	11	9	payments	payment	NOUN
cana-1060	11	10	to	to	PART
cana-1060	11	11	bolster	bolster	VERB
cana-1060	11	12	business	business	NOUN
cana-1060	11	13	operations	operation	NOUN
cana-1060	11	14	during	during	ADP
cana-1060	11	15	financial	financial	ADJ
cana-1060	11	16	emergencies	emergency	NOUN
cana-1060	11	17	.	.	PUNCT
cana-1060	12	1	this	this	DET
cana-1060	12	2	study	study	NOUN
cana-1060	12	3	aims	aim	VERB
cana-1060	12	4	to	to	PART
cana-1060	12	5	enhance	enhance	VERB
cana-1060	12	6	business	business	NOUN
cana-1060	12	7	flexibility	flexibility	NOUN
cana-1060	12	8	,	,	PUNCT
cana-1060	12	9	and	and	CCONJ
cana-1060	12	10	the	the	DET
cana-1060	12	11	model	model	NOUN
cana-1060	12	12	reflects	reflect	VERB
cana-1060	12	13	real	real	ADJ
cana-1060	12	14	-	-	PUNCT
cana-1060	12	15	world	world	NOUN
cana-1060	12	16	complexities	complexity	NOUN
cana-1060	12	17	by	by	ADP
cana-1060	12	18	introducing	introduce	VERB
cana-1060	12	19	a	a	DET
cana-1060	12	20	time	time	NOUN
cana-1060	12	21	-	-	PUNCT
cana-1060	12	22	dependent	dependent	ADJ
cana-1060	12	23	holding	holding	NOUN
cana-1060	12	24	cost	cost	NOUN
cana-1060	12	25	and	and	CCONJ
cana-1060	12	26	accounting	account	VERB
cana-1060	12	27	for	for	ADP
cana-1060	12	28	partial	partial	ADJ
cana-1060	12	29	backlogged	backlogge	VERB
cana-1060	12	30	shortages	shortage	NOUN
cana-1060	12	31	.	.	PUNCT
cana-1060	13	1	the	the	DET
cana-1060	13	2	establishment	establishment	NOUN
cana-1060	13	3	of	of	ADP
cana-1060	13	4	convexity	convexity	NOUN
cana-1060	13	5	ensures	ensure	VERB
cana-1060	13	6	efficient	efficient	ADJ
cana-1060	13	7	optimization	optimization	NOUN
cana-1060	13	8	and	and	CCONJ
cana-1060	13	9	numerical	numerical	ADJ
cana-1060	13	10	examples	example	NOUN
cana-1060	13	11	clearly	clearly	ADV
cana-1060	13	12	illustrate	illustrate	VERB
cana-1060	13	13	how	how	SCONJ
cana-1060	13	14	the	the	DET
cana-1060	13	15	proposed	propose	VERB
cana-1060	13	16	strategies	strategy	NOUN
cana-1060	13	17	influence	influence	VERB
cana-1060	13	18	overall	overall	ADJ
cana-1060	13	19	enterprise	enterprise	NOUN
cana-1060	13	20	profitability	profitability	NOUN
cana-1060	13	21	.	.	PUNCT
cana-1060	14	1	furthermore	furthermore	ADV
cana-1060	14	2	,	,	PUNCT
cana-1060	14	3	the	the	DET
cana-1060	14	4	utilization	utilization	NOUN
cana-1060	14	5	of	of	ADP
cana-1060	14	6	matlab	matlab	PROPN
cana-1060	14	7	for	for	ADP
cana-1060	14	8	graphical	graphical	ADJ
cana-1060	14	9	representation	representation	NOUN
cana-1060	14	10	enhances	enhance	NOUN
cana-1060	14	11	result	result	VERB
cana-1060	14	12	availability	availability	NOUN
cana-1060	14	13	and	and	CCONJ
cana-1060	14	14	understanding	understanding	NOUN
cana-1060	14	15	.	.	PUNCT
cana-1060	15	1	sensitivity	sensitivity	NOUN
cana-1060	15	2	analysis	analysis	NOUN
cana-1060	15	3	enriches	enrich	VERB
cana-1060	15	4	decision	decision	NOUN
cana-1060	15	5	-	-	PUNCT
cana-1060	15	6	making	making	NOUN
cana-1060	15	7	by	by	ADP
cana-1060	15	8	providing	provide	VERB
cana-1060	15	9	important	important	ADJ
cana-1060	15	10	managerial	managerial	ADJ
cana-1060	15	11	insights	insight	NOUN
cana-1060	15	12	during	during	ADP
cana-1060	15	13	the	the	DET
cana-1060	15	14	recovery	recovery	NOUN
cana-1060	15	15	phase	phase	NOUN
cana-1060	15	16	.	.	PUNCT
cana-1060	16	1	this	this	DET
cana-1060	16	2	research	research	NOUN
cana-1060	16	3	contributes	contribute	VERB
cana-1060	16	4	a	a	DET
cana-1060	16	5	strong	strong	ADJ
cana-1060	16	6	foundation	foundation	NOUN
cana-1060	16	7	for	for	ADP
cana-1060	16	8	inventory	inventory	NOUN
cana-1060	16	9	optimization	optimization	NOUN
cana-1060	16	10	that	that	PRON
cana-1060	16	11	can	can	AUX
cana-1060	16	12	adapt	adapt	VERB
cana-1060	16	13	to	to	ADP
cana-1060	16	14	changing	change	VERB
cana-1060	16	15	post	post	ADJ
cana-1060	16	16	-	-	ADJ
cana-1060	16	17	pandemic	pandemic	ADJ
cana-1060	16	18	economic	economic	ADJ
cana-1060	16	19	conditions	condition	NOUN
cana-1060	16	20	.	.	PUNCT
cana-1060	17	1	keywords	keyword	NOUN
cana-1060	17	2	:	:	PUNCT
cana-1060	17	3	price	price	NOUN
cana-1060	17	4	sensitive	sensitive	ADJ
cana-1060	17	5	demand	demand	NOUN
cana-1060	17	6	,	,	PUNCT
cana-1060	17	7	advertisement	advertisement	NOUN
cana-1060	17	8	,	,	PUNCT
cana-1060	17	9	freshness	freshness	NOUN
cana-1060	17	10	of	of	ADP
cana-1060	17	11	the	the	DET
cana-1060	17	12	goods	good	NOUN
cana-1060	17	13	,	,	PUNCT
cana-1060	17	14	trade	trade	NOUN
cana-1060	17	15	credit	credit	NOUN
cana-1060	17	16	,	,	PUNCT
cana-1060	17	17	maximum	maximum	ADJ
cana-1060	17	18	lifetime	lifetime	NOUN
cana-1060	17	19	,	,	PUNCT
cana-1060	17	20	hybrid	hybrid	ADJ
cana-1060	17	21	payment	payment	NOUN
cana-1060	17	22	.	.	PUNCT
cana-1060	18	1	1	1	X
cana-1060	18	2	.	.	X
cana-1060	18	3	introduction	introduction	NOUN
cana-1060	18	4	in	in	ADP
cana-1060	18	5	response	response	NOUN
cana-1060	18	6	to	to	ADP
cana-1060	18	7	the	the	DET
cana-1060	18	8	worldwide	worldwide	ADJ
cana-1060	18	9	pandemic	pandemic	ADJ
cana-1060	18	10	,	,	PUNCT
cana-1060	18	11	scholars	scholar	NOUN
cana-1060	18	12	have	have	AUX
cana-1060	18	13	concentrated	concentrate	VERB
cana-1060	18	14	on	on	ADP
cana-1060	18	15	creating	create	VERB
cana-1060	18	16	effective	effective	ADJ
cana-1060	18	17	inventory	inventory	NOUN
cana-1060	18	18	administration	administration	NOUN
cana-1060	18	19	techniques	technique	NOUN
cana-1060	18	20	that	that	PRON
cana-1060	18	21	maximize	maximize	VERB
cana-1060	18	22	revenue	revenue	NOUN
cana-1060	18	23	and	and	CCONJ
cana-1060	18	24	reduce	reduce	VERB
cana-1060	18	25	expenses	expense	NOUN
cana-1060	18	26	,	,	PUNCT
cana-1060	18	27	by	by	ADP
cana-1060	18	28	considering	consider	VERB
cana-1060	18	29	the	the	DET
cana-1060	18	30	various	various	ADJ
cana-1060	18	31	payment	payment	NOUN
cana-1060	18	32	possibilities	possibility	NOUN
cana-1060	18	33	.	.	PUNCT
cana-1060	19	1	a	a	DET
cana-1060	19	2	customized	customize	VERB
cana-1060	19	3	inventory	inventory	NOUN
cana-1060	19	4	model	model	NOUN
cana-1060	19	5	that	that	PRON
cana-1060	19	6	considers	consider	VERB
cana-1060	19	7	the	the	DET
cana-1060	19	8	market	market	NOUN
cana-1060	19	9	's	's	PART
cana-1060	19	10	state	state	NOUN
cana-1060	19	11	has	have	AUX
cana-1060	19	12	been	be	AUX
cana-1060	19	13	made	make	VERB
cana-1060	19	14	,	,	PUNCT
cana-1060	19	15	underlining	underline	VERB
cana-1060	19	16	how	how	SCONJ
cana-1060	19	17	pricing	pricing	NOUN
cana-1060	19	18	significantly	significantly	ADV
cana-1060	19	19	influences	influence	VERB
cana-1060	19	20	demand	demand	NOUN
cana-1060	19	21	,	,	PUNCT
cana-1060	19	22	especially	especially	ADV
cana-1060	19	23	when	when	SCONJ
cana-1060	19	24	it	it	PRON
cana-1060	19	25	comes	come	VERB
cana-1060	19	26	to	to	ADP
cana-1060	19	27	perishable	perishable	VERB
cana-1060	19	28	commodities	commodity	NOUN
cana-1060	19	29	and	and	CCONJ
cana-1060	19	30	expiry	expiry	NOUN
cana-1060	19	31	dates	date	NOUN
cana-1060	19	32	.	.	PUNCT
cana-1060	20	1	the	the	DET
cana-1060	20	2	impact	impact	NOUN
cana-1060	20	3	of	of	ADP
cana-1060	20	4	advanced	advanced	ADJ
cana-1060	20	5	and	and	CCONJ
cana-1060	20	6	deferred	defer	VERB
cana-1060	20	7	payment	payment	NOUN
cana-1060	20	8	plans	plan	NOUN
cana-1060	20	9	in	in	ADP
cana-1060	20	10	the	the	DET
cana-1060	20	11	post	post	ADJ
cana-1060	20	12	pandemic	pandemic	ADJ
cana-1060	20	13	period	period	NOUN
cana-1060	20	14	,	,	PUNCT
cana-1060	20	15	on	on	ADP
cana-1060	20	16	sales	sale	NOUN
cana-1060	20	17	and	and	CCONJ
cana-1060	20	18	overall	overall	ADJ
cana-1060	20	19	inventory	inventory	NOUN
cana-1060	20	20	performance	performance	NOUN
cana-1060	20	21	is	be	AUX
cana-1060	20	22	also	also	ADV
cana-1060	20	23	examined	examine	VERB
cana-1060	20	24	.	.	PUNCT
cana-1060	21	1	nowadays	nowadays	ADV
cana-1060	21	2	,	,	PUNCT
cana-1060	21	3	consumers	consumer	NOUN
cana-1060	21	4	'	'	PART
cana-1060	21	5	awareness	awareness	NOUN
cana-1060	21	6	of	of	ADP
cana-1060	21	7	food	food	NOUN
cana-1060	21	8	freshness	freshness	NOUN
cana-1060	21	9	and	and	CCONJ
cana-1060	21	10	safety	safety	NOUN
cana-1060	21	11	drives	drive	VERB
cana-1060	21	12	demand	demand	NOUN
cana-1060	21	13	for	for	ADP
cana-1060	21	14	products	product	NOUN
cana-1060	21	15	with	with	ADP
cana-1060	21	16	expiration	expiration	NOUN
cana-1060	21	17	dates	date	NOUN
cana-1060	21	18	increased	increase	VERB
cana-1060	21	19	.	.	PUNCT
cana-1060	22	1	they	they	PRON
cana-1060	22	2	are	be	AUX
cana-1060	22	3	underscoring	underscore	VERB
cana-1060	22	4	the	the	DET
cana-1060	22	5	importance	importance	NOUN
cana-1060	22	6	of	of	ADP
cana-1060	22	7	effective	effective	ADJ
cana-1060	22	8	advertising	advertising	NOUN
cana-1060	22	9	in	in	ADP
cana-1060	22	10	creating	create	VERB
cana-1060	22	11	awareness	awareness	NOUN
cana-1060	22	12	and	and	CCONJ
cana-1060	22	13	meeting	meet	VERB
cana-1060	22	14	consumer	consumer	NOUN
cana-1060	22	15	needs	need	NOUN
cana-1060	22	16	.	.	PUNCT
cana-1060	23	1	well	well	ADV
cana-1060	23	2	-	-	PUNCT
cana-1060	23	3	crafted	craft	VERB
cana-1060	23	4	advertisements	advertisement	NOUN
cana-1060	23	5	inform	inform	VERB
cana-1060	23	6	consumers	consumer	NOUN
cana-1060	23	7	about	about	ADP
cana-1060	23	8	product	product	NOUN
cana-1060	23	9	attributes	attribute	VERB
cana-1060	23	10	,	,	PUNCT
cana-1060	23	11	evoke	evoke	VERB
cana-1060	23	12	emotions	emotion	NOUN
cana-1060	23	13	,	,	PUNCT
cana-1060	23	14	establish	establish	VERB
cana-1060	23	15	brand	brand	NOUN
cana-1060	23	16	recognition	recognition	NOUN
cana-1060	23	17	,	,	PUNCT
cana-1060	23	18	and	and	CCONJ
cana-1060	23	19	positively	positively	ADV
cana-1060	23	20	influence	influence	NOUN
cana-1060	23	21	purchasing	purchasing	NOUN
cana-1060	23	22	decisions	decision	NOUN
cana-1060	23	23	.	.	PUNCT
cana-1060	24	1	this	this	DET
cana-1060	24	2	innovative	innovative	ADJ
cana-1060	24	3	inventory	inventory	NOUN
cana-1060	24	4	model	model	NOUN
cana-1060	24	5	integrates	integrate	VERB
cana-1060	24	6	various	various	ADJ
cana-1060	24	7	dynamics	dynamic	NOUN
cana-1060	24	8	,	,	PUNCT
cana-1060	24	9	including	include	VERB
cana-1060	24	10	non	non	ADJ
cana-1060	24	11	-	-	ADJ
cana-1060	24	12	instantaneous	instantaneous	ADJ
cana-1060	24	13	item	item	NOUN
cana-1060	24	14	deterioration	deterioration	NOUN
cana-1060	24	15	,	,	PUNCT
cana-1060	24	16	price	price	NOUN
cana-1060	24	17	-	-	PUNCT
cana-1060	24	18	sensitive	sensitive	ADJ
cana-1060	24	19	demand	demand	NOUN
cana-1060	24	20	with	with	ADP
cana-1060	24	21	advertising	advertising	NOUN
cana-1060	24	22	frequency	frequency	NOUN
cana-1060	24	23	and	and	CCONJ
cana-1060	24	24	freshness	freshness	NOUN
cana-1060	24	25	of	of	ADP
cana-1060	24	26	the	the	DET
cana-1060	24	27	products	product	NOUN
cana-1060	24	28	,	,	PUNCT
cana-1060	24	29	communications	communication	NOUN
cana-1060	24	30	on	on	ADP
cana-1060	24	31	applied	apply	VERB
cana-1060	24	32	nonlinear	nonlinear	ADJ
cana-1060	24	33	analysis	analysis	NOUN
cana-1060	24	34	issn	issn	NOUN
cana-1060	24	35	:	:	PUNCT
cana-1060	24	36	1074	1074	NUM
cana-1060	24	37	-	-	PUNCT
cana-1060	24	38	133x	133x	NUM
cana-1060	24	39	vol	vol	NOUN
cana-1060	24	40	31	31	NUM
cana-1060	24	41	no	no	NOUN
cana-1060	24	42	.	.	PUNCT
cana-1060	25	1	5s	5s	NUM
cana-1060	25	2	(	(	PUNCT
cana-1060	25	3	2024	2024	NUM
cana-1060	25	4	)	)	PUNCT
cana-1060	25	5	412	412	NUM
cana-1060	25	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	25	7	and	and	CCONJ
cana-1060	25	8	advanced	advanced	ADJ
cana-1060	25	9	payment	payment	NOUN
cana-1060	25	10	strategies	strategy	NOUN
cana-1060	25	11	and	and	CCONJ
cana-1060	25	12	discount	discount	NOUN
cana-1060	25	13	rates	rate	NOUN
cana-1060	25	14	,	,	PUNCT
cana-1060	25	15	offering	offer	VERB
cana-1060	25	16	a	a	DET
cana-1060	25	17	comprehensive	comprehensive	ADJ
cana-1060	25	18	approach	approach	NOUN
cana-1060	25	19	to	to	ADP
cana-1060	25	20	inventory	inventory	NOUN
cana-1060	25	21	management	management	NOUN
cana-1060	25	22	that	that	PRON
cana-1060	25	23	contributes	contribute	VERB
cana-1060	25	24	significantly	significantly	ADV
cana-1060	25	25	to	to	ADP
cana-1060	25	26	the	the	DET
cana-1060	25	27	field	field	NOUN
cana-1060	25	28	's	's	PART
cana-1060	25	29	advancement	advancement	NOUN
cana-1060	25	30	.	.	PUNCT
cana-1060	26	1	the	the	DET
cana-1060	26	2	initial	initial	ADJ
cana-1060	26	3	motivating	motivating	NOUN
cana-1060	26	4	force	force	NOUN
cana-1060	26	5	is	be	AUX
cana-1060	26	6	derived	derive	VERB
cana-1060	26	7	from	from	ADP
cana-1060	26	8	understanding	understanding	NOUN
cana-1060	26	9	and	and	CCONJ
cana-1060	26	10	experience	experience	NOUN
cana-1060	26	11	with	with	ADP
cana-1060	26	12	hybrid	hybrid	ADJ
cana-1060	26	13	payment	payment	NOUN
cana-1060	26	14	systems	system	NOUN
cana-1060	26	15	in	in	ADP
cana-1060	26	16	real	real	ADJ
cana-1060	26	17	-	-	PUNCT
cana-1060	26	18	world	world	NOUN
cana-1060	26	19	business	business	NOUN
cana-1060	26	20	situations	situation	NOUN
cana-1060	26	21	.	.	PUNCT
cana-1060	27	1	advanced	advanced	ADJ
cana-1060	27	2	payment	payment	NOUN
cana-1060	27	3	and	and	CCONJ
cana-1060	27	4	payment	payment	NOUN
cana-1060	27	5	discounts	discount	NOUN
cana-1060	27	6	help	help	VERB
cana-1060	27	7	to	to	PART
cana-1060	27	8	reduce	reduce	VERB
cana-1060	27	9	consumer	consumer	NOUN
cana-1060	27	10	burdens	burden	NOUN
cana-1060	27	11	,	,	PUNCT
cana-1060	27	12	increase	increase	VERB
cana-1060	27	13	sales	sale	NOUN
cana-1060	27	14	,	,	PUNCT
cana-1060	27	15	and	and	CCONJ
cana-1060	27	16	improve	improve	VERB
cana-1060	27	17	the	the	DET
cana-1060	27	18	economics	economic	NOUN
cana-1060	27	19	of	of	ADP
cana-1060	27	20	the	the	DET
cana-1060	27	21	supply	supply	NOUN
cana-1060	27	22	chain	chain	NOUN
cana-1060	27	23	.	.	PUNCT
cana-1060	28	1	the	the	DET
cana-1060	28	2	second	second	ADJ
cana-1060	28	3	source	source	NOUN
cana-1060	28	4	of	of	ADP
cana-1060	28	5	inspiration	inspiration	NOUN
cana-1060	28	6	is	be	AUX
cana-1060	28	7	the	the	DET
cana-1060	28	8	challenges	challenge	NOUN
cana-1060	28	9	of	of	ADP
cana-1060	28	10	deteriorating	deteriorate	VERB
cana-1060	28	11	goods	good	NOUN
cana-1060	28	12	.	.	PUNCT
cana-1060	29	1	prices	price	NOUN
cana-1060	29	2	fall	fall	VERB
cana-1060	29	3	,	,	PUNCT
cana-1060	29	4	and	and	CCONJ
cana-1060	29	5	storage	storage	NOUN
cana-1060	29	6	costs	cost	NOUN
cana-1060	29	7	rise	rise	VERB
cana-1060	29	8	when	when	SCONJ
cana-1060	29	9	item	item	NOUN
cana-1060	29	10	quality	quality	NOUN
cana-1060	29	11	deteriorates	deteriorate	VERB
cana-1060	29	12	over	over	ADP
cana-1060	29	13	time	time	NOUN
cana-1060	29	14	,	,	PUNCT
cana-1060	29	15	adversely	adversely	ADV
cana-1060	29	16	affecting	affect	VERB
cana-1060	29	17	the	the	DET
cana-1060	29	18	system	system	NOUN
cana-1060	29	19	's	's	PART
cana-1060	29	20	efficiency	efficiency	NOUN
cana-1060	29	21	and	and	CCONJ
cana-1060	29	22	financial	financial	ADJ
cana-1060	29	23	advantages	advantage	NOUN
cana-1060	29	24	.	.	PUNCT
cana-1060	30	1	the	the	DET
cana-1060	30	2	following	follow	VERB
cana-1060	30	3	motivating	motivate	VERB
cana-1060	30	4	forces	force	NOUN
cana-1060	30	5	are	be	AUX
cana-1060	30	6	the	the	DET
cana-1060	30	7	promotion	promotion	NOUN
cana-1060	30	8	of	of	ADP
cana-1060	30	9	freshness	freshness	NOUN
cana-1060	30	10	of	of	ADP
cana-1060	30	11	goods	good	NOUN
cana-1060	30	12	,	,	PUNCT
cana-1060	30	13	advertisement	advertisement	NOUN
cana-1060	30	14	for	for	ADP
cana-1060	30	15	current	current	ADJ
cana-1060	30	16	products	product	NOUN
cana-1060	30	17	,	,	PUNCT
cana-1060	30	18	emphasizing	emphasize	VERB
cana-1060	30	19	sensory	sensory	ADJ
cana-1060	30	20	appeal	appeal	NOUN
cana-1060	30	21	,	,	PUNCT
cana-1060	30	22	health	health	NOUN
cana-1060	30	23	advantages	advantage	NOUN
cana-1060	30	24	,	,	PUNCT
cana-1060	30	25	and	and	CCONJ
cana-1060	30	26	quality	quality	NOUN
cana-1060	30	27	control	control	NOUN
cana-1060	30	28	to	to	PART
cana-1060	30	29	appeal	appeal	VERB
cana-1060	30	30	to	to	ADP
cana-1060	30	31	customer	customer	NOUN
cana-1060	30	32	preferences	preference	NOUN
cana-1060	30	33	.	.	PUNCT
cana-1060	31	1	research	research	NOUN
cana-1060	31	2	through	through	ADP
cana-1060	31	3	surveys	survey	NOUN
cana-1060	31	4	and	and	CCONJ
cana-1060	31	5	analyzing	analyze	VERB
cana-1060	31	6	successful	successful	ADJ
cana-1060	31	7	campaigns	campaign	NOUN
cana-1060	31	8	helps	help	VERB
cana-1060	31	9	advertisers	advertiser	NOUN
cana-1060	31	10	understand	understand	VERB
cana-1060	31	11	which	which	DET
cana-1060	31	12	freshness	freshness	NOUN
cana-1060	31	13	aspects	aspect	NOUN
cana-1060	31	14	connect	connect	VERB
cana-1060	31	15	best	well	ADV
cana-1060	31	16	with	with	ADP
cana-1060	31	17	different	different	ADJ
cana-1060	31	18	demographics	demographic	NOUN
cana-1060	31	19	,	,	PUNCT
cana-1060	31	20	guiding	guide	VERB
cana-1060	31	21	effective	effective	ADJ
cana-1060	31	22	messaging	messaging	NOUN
cana-1060	31	23	strategies	strategy	NOUN
cana-1060	31	24	to	to	PART
cana-1060	31	25	drive	drive	VERB
cana-1060	31	26	purchasing	purchasing	NOUN
cana-1060	31	27	decisions	decision	NOUN
cana-1060	31	28	.	.	PUNCT
cana-1060	32	1	another	another	DET
cana-1060	32	2	reason	reason	NOUN
cana-1060	32	3	for	for	ADP
cana-1060	32	4	this	this	DET
cana-1060	32	5	study	study	NOUN
cana-1060	32	6	is	be	AUX
cana-1060	32	7	to	to	PART
cana-1060	32	8	address	address	VERB
cana-1060	32	9	existing	exist	VERB
cana-1060	32	10	research	research	NOUN
cana-1060	32	11	gaps	gap	NOUN
cana-1060	32	12	highlighted	highlight	VERB
cana-1060	32	13	in	in	ADP
cana-1060	32	14	the	the	DET
cana-1060	32	15	literature	literature	NOUN
cana-1060	32	16	review	review	NOUN
cana-1060	32	17	.	.	PUNCT
cana-1060	33	1	2	2	NUM
cana-1060	33	2	literature	literature	NOUN
cana-1060	33	3	review	review	VERB
cana-1060	33	4	the	the	DET
cana-1060	33	5	literature	literature	NOUN
cana-1060	33	6	review	review	NOUN
cana-1060	33	7	emphasizes	emphasize	VERB
cana-1060	33	8	the	the	DET
cana-1060	33	9	necessity	necessity	NOUN
cana-1060	33	10	for	for	ADP
cana-1060	33	11	inventory	inventory	NOUN
cana-1060	33	12	models	model	NOUN
cana-1060	33	13	that	that	PRON
cana-1060	33	14	accommodate	accommodate	VERB
cana-1060	33	15	the	the	DET
cana-1060	33	16	noninstantaneous	noninstantaneous	ADJ
cana-1060	33	17	deterioration	deterioration	NOUN
cana-1060	33	18	of	of	ADP
cana-1060	33	19	perishable	perishable	ADJ
cana-1060	33	20	items	item	NOUN
cana-1060	33	21	,	,	PUNCT
cana-1060	33	22	advertisement	advertisement	NOUN
cana-1060	33	23	frequency	frequency	NOUN
cana-1060	33	24	,	,	PUNCT
cana-1060	33	25	product	product	NOUN
cana-1060	33	26	freshness	freshness	NOUN
cana-1060	33	27	,	,	PUNCT
cana-1060	33	28	timevarying	timevarye	VERB
cana-1060	33	29	holding	hold	VERB
cana-1060	33	30	costs	cost	NOUN
cana-1060	33	31	,	,	PUNCT
cana-1060	33	32	trade	trade	NOUN
cana-1060	33	33	credit	credit	NOUN
cana-1060	33	34	,	,	PUNCT
cana-1060	33	35	and	and	CCONJ
cana-1060	33	36	advanced	advanced	ADJ
cana-1060	33	37	payment	payment	NOUN
cana-1060	33	38	schemes	scheme	NOUN
cana-1060	33	39	.	.	PUNCT
cana-1060	34	1	2.1	2.1	NUM
cana-1060	34	2	non	non	ADJ
cana-1060	34	3	-	-	ADJ
cana-1060	34	4	instantaneous	instantaneous	ADJ
cana-1060	34	5	expiration	expiration	NOUN
cana-1060	34	6	date	date	NOUN
cana-1060	34	7	-	-	PUNCT
cana-1060	34	8	related	relate	VERB
cana-1060	34	9	deterioration	deterioration	NOUN
cana-1060	34	10	a	a	DET
cana-1060	34	11	rich	rich	ADJ
cana-1060	34	12	and	and	CCONJ
cana-1060	34	13	diverse	diverse	ADJ
cana-1060	34	14	body	body	NOUN
cana-1060	34	15	of	of	ADP
cana-1060	34	16	research	research	NOUN
cana-1060	34	17	focuses	focus	VERB
cana-1060	34	18	on	on	ADP
cana-1060	34	19	perishable	perishable	ADJ
cana-1060	34	20	inventory	inventory	NOUN
cana-1060	34	21	management	management	NOUN
cana-1060	34	22	,	,	PUNCT
cana-1060	34	23	particularly	particularly	ADV
cana-1060	34	24	considering	consider	VERB
cana-1060	34	25	the	the	DET
cana-1060	34	26	impact	impact	NOUN
cana-1060	34	27	of	of	ADP
cana-1060	34	28	expiration	expiration	NOUN
cana-1060	34	29	dates	date	NOUN
cana-1060	34	30	and	and	CCONJ
cana-1060	34	31	deteriorating	deteriorate	VERB
cana-1060	34	32	quality	quality	NOUN
cana-1060	34	33	on	on	ADP
cana-1060	34	34	supply	supply	NOUN
cana-1060	34	35	chain	chain	NOUN
cana-1060	34	36	dynamics	dynamic	NOUN
cana-1060	34	37	.	.	PUNCT
cana-1060	35	1	managing	manage	VERB
cana-1060	35	2	a	a	DET
cana-1060	35	3	perishable	perishable	ADJ
cana-1060	35	4	inventory	inventory	NOUN
cana-1060	35	5	system	system	NOUN
cana-1060	35	6	with	with	ADP
cana-1060	35	7	variable	variable	ADJ
cana-1060	35	8	holding	hold	VERB
cana-1060	35	9	costs	cost	NOUN
cana-1060	35	10	and	and	CCONJ
cana-1060	35	11	non	non	ADJ
cana-1060	35	12	-	-	ADJ
cana-1060	35	13	instantaneous	instantaneous	ADJ
cana-1060	35	14	deterioration	deterioration	NOUN
cana-1060	35	15	is	be	AUX
cana-1060	35	16	essential	essential	ADJ
cana-1060	35	17	in	in	ADP
cana-1060	35	18	the	the	DET
cana-1060	35	19	retail	retail	NOUN
cana-1060	35	20	,	,	PUNCT
cana-1060	35	21	pharmaceutical	pharmaceutical	NOUN
cana-1060	35	22	,	,	PUNCT
cana-1060	35	23	and	and	CCONJ
cana-1060	35	24	agricultural	agricultural	ADJ
cana-1060	35	25	sectors	sector	NOUN
cana-1060	35	26	.	.	PUNCT
cana-1060	36	1	wu(2	wu(2	NOUN
cana-1060	36	2	)	)	PUNCT
cana-1060	36	3	defined	define	VERB
cana-1060	36	4	this	this	DET
cana-1060	36	5	phenomenon	phenomenon	NOUN
cana-1060	36	6	as	as	ADP
cana-1060	36	7	"	"	PUNCT
cana-1060	36	8	non	non	ADJ
cana-1060	36	9	-	-	ADJ
cana-1060	36	10	instantaneous	instantaneous	ADJ
cana-1060	36	11	deterioration	deterioration	NOUN
cana-1060	36	12	(	(	PUNCT
cana-1060	36	13	nid	nid	PROPN
cana-1060	36	14	)	)	PUNCT
cana-1060	36	15	"	"	PUNCT
cana-1060	36	16	.	.	PUNCT
cana-1060	37	1	hsu	hsu	PROPN
cana-1060	37	2	et	et	PROPN
cana-1060	37	3	al.([3	al.([3	PROPN
cana-1060	37	4	]	]	PUNCT
cana-1060	37	5	)	)	PUNCT
cana-1060	37	6	introduced	introduce	VERB
cana-1060	37	7	the	the	DET
cana-1060	37	8	idea	idea	NOUN
cana-1060	37	9	of	of	ADP
cana-1060	37	10	expiration	expiration	NOUN
cana-1060	37	11	within	within	ADP
cana-1060	37	12	inventory	inventory	NOUN
cana-1060	37	13	models	model	NOUN
cana-1060	37	14	,	,	PUNCT
cana-1060	37	15	highlighting	highlight	VERB
cana-1060	37	16	the	the	DET
cana-1060	37	17	importance	importance	NOUN
cana-1060	37	18	of	of	ADP
cana-1060	37	19	managing	manage	VERB
cana-1060	37	20	perishable	perishable	ADJ
cana-1060	37	21	goods	good	NOUN
cana-1060	37	22	based	base	VERB
cana-1060	37	23	on	on	ADP
cana-1060	37	24	their	their	PRON
cana-1060	37	25	maximum	maximum	ADJ
cana-1060	37	26	lifetime	lifetime	NOUN
cana-1060	37	27	and	and	CCONJ
cana-1060	37	28	deterioration	deterioration	NOUN
cana-1060	37	29	rates	rate	NOUN
cana-1060	37	30	.	.	PUNCT
cana-1060	38	1	this	this	DET
cana-1060	38	2	phenomenon	phenomenon	NOUN
cana-1060	38	3	occurs	occur	VERB
cana-1060	38	4	frequently	frequently	ADV
cana-1060	38	5	in	in	ADP
cana-1060	38	6	everyday	everyday	ADJ
cana-1060	38	7	life	life	NOUN
cana-1060	38	8	,	,	PUNCT
cana-1060	38	9	such	such	ADJ
cana-1060	38	10	as	as	ADP
cana-1060	38	11	when	when	SCONJ
cana-1060	38	12	some	some	DET
cana-1060	38	13	vegetables	vegetable	NOUN
cana-1060	38	14	and	and	CCONJ
cana-1060	38	15	fruits	fruit	NOUN
cana-1060	38	16	stay	stay	VERB
cana-1060	38	17	fresh	fresh	ADJ
cana-1060	38	18	for	for	ADP
cana-1060	38	19	a	a	DET
cana-1060	38	20	short	short	ADJ
cana-1060	38	21	period	period	NOUN
cana-1060	38	22	with	with	ADP
cana-1060	38	23	little	little	ADJ
cana-1060	38	24	or	or	CCONJ
cana-1060	38	25	no	no	PRON
cana-1060	38	26	rotting	rot	VERB
cana-1060	38	27	.	.	PUNCT
cana-1060	39	1	priyan	priyan	PROPN
cana-1060	39	2	and	and	CCONJ
cana-1060	39	3	mala(6	mala(6	PROPN
cana-1060	39	4	)	)	PUNCT
cana-1060	39	5	developed	develop	VERB
cana-1060	39	6	pricing	pricing	NOUN
cana-1060	39	7	models	model	NOUN
cana-1060	39	8	considering	consider	VERB
cana-1060	39	9	quantity	quantity	NOUN
cana-1060	39	10	discounts	discount	NOUN
cana-1060	39	11	and	and	CCONJ
cana-1060	39	12	demand	demand	NOUN
cana-1060	39	13	elasticity	elasticity	NOUN
cana-1060	39	14	influenced	influence	VERB
cana-1060	39	15	by	by	ADP
cana-1060	39	16	perishable	perishable	ADJ
cana-1060	39	17	item	item	NOUN
cana-1060	39	18	deterioration	deterioration	NOUN
cana-1060	39	19	and	and	CCONJ
cana-1060	39	20	expiration	expiration	NOUN
cana-1060	39	21	dates	date	NOUN
cana-1060	39	22	,	,	PUNCT
cana-1060	39	23	emphasizing	emphasize	VERB
cana-1060	39	24	the	the	DET
cana-1060	39	25	need	need	NOUN
cana-1060	39	26	for	for	ADP
cana-1060	39	27	dynamic	dynamic	ADJ
cana-1060	39	28	pricing	pricing	NOUN
cana-1060	39	29	strategies	strategy	NOUN
cana-1060	39	30	.	.	PUNCT
cana-1060	40	1	sebatjane	sebatjane	NOUN
cana-1060	40	2	and	and	CCONJ
cana-1060	40	3	adetunji(12	adetunji(12	NOUN
cana-1060	40	4	)	)	PUNCT
cana-1060	40	5	investigated	investigate	VERB
cana-1060	40	6	supply	supply	NOUN
cana-1060	40	7	chain	chain	NOUN
cana-1060	40	8	models	model	NOUN
cana-1060	40	9	for	for	ADP
cana-1060	40	10	perishable	perishable	ADJ
cana-1060	40	11	items	item	NOUN
cana-1060	40	12	where	where	SCONJ
cana-1060	40	13	demand	demand	NOUN
cana-1060	40	14	is	be	AUX
cana-1060	40	15	influenced	influence	VERB
cana-1060	40	16	by	by	ADP
cana-1060	40	17	expiration	expiration	NOUN
cana-1060	40	18	dates	date	NOUN
cana-1060	40	19	,	,	PUNCT
cana-1060	40	20	highlighting	highlight	VERB
cana-1060	40	21	the	the	DET
cana-1060	40	22	interconnectedness	interconnectedness	NOUN
cana-1060	40	23	of	of	ADP
cana-1060	40	24	supply	supply	NOUN
cana-1060	40	25	chain	chain	NOUN
cana-1060	40	26	participants	participant	NOUN
cana-1060	40	27	in	in	ADP
cana-1060	40	28	managing	manage	VERB
cana-1060	40	29	perishable	perishable	ADJ
cana-1060	40	30	inventories	inventory	NOUN
cana-1060	40	31	effectively	effectively	ADV
cana-1060	40	32	.	.	PUNCT
cana-1060	41	1	2.2	2.2	NUM
cana-1060	41	2	inventory	inventory	NOUN
cana-1060	41	3	model	model	NOUN
cana-1060	41	4	for	for	ADP
cana-1060	41	5	time	time	NOUN
cana-1060	41	6	varying	vary	VERB
cana-1060	41	7	holding	holding	NOUN
cana-1060	41	8	cost	cost	VERB
cana-1060	41	9	another	another	DET
cana-1060	41	10	notable	notable	ADJ
cana-1060	41	11	aspect	aspect	NOUN
cana-1060	41	12	of	of	ADP
cana-1060	41	13	inventory	inventory	NOUN
cana-1060	41	14	management	management	NOUN
cana-1060	41	15	is	be	AUX
cana-1060	41	16	holding	hold	VERB
cana-1060	41	17	cost	cost	NOUN
cana-1060	41	18	,	,	PUNCT
cana-1060	41	19	which	which	PRON
cana-1060	41	20	changes	change	VERB
cana-1060	41	21	the	the	DET
cana-1060	41	22	rate	rate	NOUN
cana-1060	41	23	of	of	ADP
cana-1060	41	24	deterioration	deterioration	NOUN
cana-1060	41	25	of	of	ADP
cana-1060	41	26	products	product	NOUN
cana-1060	41	27	during	during	ADP
cana-1060	41	28	storage	storage	NOUN
cana-1060	41	29	.	.	PUNCT
cana-1060	42	1	still	still	ADV
cana-1060	42	2	,	,	PUNCT
cana-1060	42	3	holding	hold	VERB
cana-1060	42	4	costs	cost	NOUN
cana-1060	42	5	may	may	AUX
cana-1060	42	6	increase	increase	VERB
cana-1060	42	7	over	over	ADP
cana-1060	42	8	time	time	NOUN
cana-1060	42	9	.	.	PUNCT
cana-1060	43	1	the	the	DET
cana-1060	43	2	decisionmaker	decisionmaker	NOUN
cana-1060	43	3	may	may	AUX
cana-1060	43	4	allocate	allocate	VERB
cana-1060	43	5	additional	additional	ADJ
cana-1060	43	6	resources	resource	NOUN
cana-1060	43	7	to	to	PART
cana-1060	43	8	minimize	minimize	VERB
cana-1060	43	9	the	the	DET
cana-1060	43	10	number	number	NOUN
cana-1060	43	11	of	of	ADP
cana-1060	43	12	deteriorated	deteriorate	VERB
cana-1060	43	13	items	item	NOUN
cana-1060	43	14	and	and	CCONJ
cana-1060	43	15	decrease	decrease	VERB
cana-1060	43	16	the	the	DET
cana-1060	43	17	associated	associated	ADJ
cana-1060	43	18	losses	loss	NOUN
cana-1060	43	19	incurred	incur	VERB
cana-1060	43	20	from	from	ADP
cana-1060	43	21	these	these	DET
cana-1060	43	22	items	item	NOUN
cana-1060	43	23	.	.	PUNCT
cana-1060	44	1	researchers	researcher	NOUN
cana-1060	44	2	worldwide	worldwide	ADV
cana-1060	44	3	have	have	AUX
cana-1060	44	4	developed	develop	VERB
cana-1060	44	5	several	several	ADJ
cana-1060	44	6	inventory	inventory	NOUN
cana-1060	44	7	models	model	NOUN
cana-1060	44	8	focusing	focus	VERB
cana-1060	44	9	on	on	ADP
cana-1060	44	10	holding	hold	VERB
cana-1060	44	11	costs	cost	NOUN
cana-1060	44	12	that	that	PRON
cana-1060	44	13	vary	vary	VERB
cana-1060	44	14	over	over	ADP
cana-1060	44	15	time	time	NOUN
cana-1060	44	16	.	.	PUNCT
cana-1060	45	1	however	however	ADV
cana-1060	45	2	,	,	PUNCT
cana-1060	45	3	most	most	ADJ
cana-1060	45	4	researchers	researcher	NOUN
cana-1060	45	5	pursued	pursue	VERB
cana-1060	45	6	their	their	PRON
cana-1060	45	7	work	work	NOUN
cana-1060	45	8	in	in	ADP
cana-1060	45	9	a	a	DET
cana-1060	45	10	typical	typical	ADJ
cana-1060	45	11	environment	environment	NOUN
cana-1060	45	12	rather	rather	ADV
cana-1060	45	13	than	than	ADP
cana-1060	45	14	a	a	DET
cana-1060	45	15	hybrid	hybrid	ADJ
cana-1060	45	16	partial	partial	ADJ
cana-1060	45	17	prepayment	prepayment	NOUN
cana-1060	45	18	and	and	CCONJ
cana-1060	45	19	partial	partial	ADJ
cana-1060	45	20	trade	trade	NOUN
cana-1060	45	21	credit	credit	NOUN
cana-1060	45	22	communications	communication	NOUN
cana-1060	45	23	on	on	ADP
cana-1060	45	24	applied	apply	VERB
cana-1060	45	25	nonlinear	nonlinear	ADJ
cana-1060	45	26	analysis	analysis	NOUN
cana-1060	45	27	issn	issn	NOUN
cana-1060	45	28	:	:	PUNCT
cana-1060	45	29	1074	1074	NUM
cana-1060	45	30	-	-	PUNCT
cana-1060	45	31	133x	133x	NUM
cana-1060	45	32	vol	vol	NOUN
cana-1060	45	33	31	31	NUM
cana-1060	45	34	no	no	NOUN
cana-1060	45	35	.	.	PUNCT
cana-1060	46	1	5s	5s	NUM
cana-1060	46	2	(	(	PUNCT
cana-1060	46	3	2024	2024	NUM
cana-1060	46	4	)	)	PUNCT
cana-1060	46	5	413	413	NUM
cana-1060	46	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	46	7	scheme	scheme	NOUN
cana-1060	46	8	,	,	PUNCT
cana-1060	46	9	which	which	PRON
cana-1060	46	10	is	be	AUX
cana-1060	46	11	crucial	crucial	ADJ
cana-1060	46	12	for	for	ADP
cana-1060	46	13	retail	retail	ADJ
cana-1060	46	14	businesses	business	NOUN
cana-1060	46	15	during	during	ADP
cana-1060	46	16	the	the	DET
cana-1060	46	17	post	post	ADJ
cana-1060	46	18	-	-	ADJ
cana-1060	46	19	pandemic	pandemic	ADJ
cana-1060	46	20	.	.	PUNCT
cana-1060	47	1	as	as	ADP
cana-1060	47	2	a	a	DET
cana-1060	47	3	result	result	NOUN
cana-1060	47	4	,	,	PUNCT
cana-1060	47	5	in	in	ADP
cana-1060	47	6	our	our	PRON
cana-1060	47	7	suggested	suggested	ADJ
cana-1060	47	8	study	study	NOUN
cana-1060	47	9	,	,	PUNCT
cana-1060	47	10	we	we	PRON
cana-1060	47	11	attempt	attempt	VERB
cana-1060	47	12	to	to	PART
cana-1060	47	13	overcome	overcome	VERB
cana-1060	47	14	this	this	DET
cana-1060	47	15	gap	gap	NOUN
cana-1060	47	16	.	.	PUNCT
cana-1060	48	1	2.3	2.3	NUM
cana-1060	48	2	inventory	inventory	NOUN
cana-1060	48	3	model	model	NOUN
cana-1060	48	4	with	with	ADP
cana-1060	48	5	an	an	DET
cana-1060	48	6	advanced	advanced	ADJ
cana-1060	48	7	payment	payment	NOUN
cana-1060	48	8	in	in	ADP
cana-1060	48	9	the	the	DET
cana-1060	48	10	post	post	ADJ
cana-1060	48	11	-	-	ADJ
cana-1060	48	12	pandemic	pandemic	ADJ
cana-1060	48	13	situation	situation	NOUN
cana-1060	48	14	,	,	PUNCT
cana-1060	48	15	much	much	ADJ
cana-1060	48	16	research	research	NOUN
cana-1060	48	17	on	on	ADP
cana-1060	48	18	hybrid	hybrid	ADJ
cana-1060	48	19	payment	payment	NOUN
cana-1060	48	20	schemes	scheme	NOUN
cana-1060	48	21	is	be	AUX
cana-1060	48	22	needed	need	VERB
cana-1060	48	23	.	.	PUNCT
cana-1060	49	1	changing	change	VERB
cana-1060	49	2	company	company	NOUN
cana-1060	49	3	demands	demand	NOUN
cana-1060	49	4	is	be	AUX
cana-1060	49	5	necessary	necessary	ADJ
cana-1060	49	6	for	for	ADP
cana-1060	49	7	improving	improve	VERB
cana-1060	49	8	inventory	inventory	NOUN
cana-1060	49	9	management	management	NOUN
cana-1060	49	10	systems	system	NOUN
cana-1060	49	11	since	since	SCONJ
cana-1060	49	12	integrating	integrate	VERB
cana-1060	49	13	advanced	advanced	ADJ
cana-1060	49	14	payment	payment	NOUN
cana-1060	49	15	and	and	CCONJ
cana-1060	49	16	trade	trade	NOUN
cana-1060	49	17	credit	credit	NOUN
cana-1060	49	18	mechanisms	mechanism	NOUN
cana-1060	49	19	is	be	AUX
cana-1060	49	20	critical	critical	ADJ
cana-1060	49	21	for	for	ADP
cana-1060	49	22	supply	supply	NOUN
cana-1060	49	23	chain	chain	NOUN
cana-1060	49	24	resilience	resilience	NOUN
cana-1060	49	25	.	.	PUNCT
cana-1060	50	1	prepaid	prepay	VERB
cana-1060	50	2	service	service	NOUN
cana-1060	50	3	and	and	CCONJ
cana-1060	50	4	(	(	PUNCT
cana-1060	50	5	or	or	CCONJ
cana-1060	50	6	)	)	PUNCT
cana-1060	50	7	the	the	DET
cana-1060	50	8	discount	discount	NOUN
cana-1060	50	9	percentage	percentage	NOUN
cana-1060	50	10	of	of	ADP
cana-1060	50	11	the	the	DET
cana-1060	50	12	total	total	ADJ
cana-1060	50	13	purchase	purchase	NOUN
cana-1060	50	14	price	price	NOUN
cana-1060	50	15	for	for	ADP
cana-1060	50	16	products	product	NOUN
cana-1060	50	17	by	by	ADP
cana-1060	50	18	buyers	buyer	NOUN
cana-1060	50	19	to	to	ADP
cana-1060	50	20	vendors	vendor	NOUN
cana-1060	50	21	under	under	ADP
cana-1060	50	22	an	an	DET
cana-1060	50	23	inventory	inventory	NOUN
cana-1060	50	24	model	model	NOUN
cana-1060	50	25	with	with	ADP
cana-1060	50	26	an	an	DET
cana-1060	50	27	advanced	advanced	ADJ
cana-1060	50	28	payment	payment	NOUN
cana-1060	50	29	plan	plan	NOUN
cana-1060	50	30	help	help	AUX
cana-1060	50	31	stabilize	stabilize	VERB
cana-1060	50	32	markets	market	NOUN
cana-1060	50	33	in	in	ADP
cana-1060	50	34	the	the	DET
cana-1060	50	35	face	face	NOUN
cana-1060	50	36	of	of	ADP
cana-1060	50	37	erratic	erratic	ADJ
cana-1060	50	38	demand	demand	NOUN
cana-1060	50	39	and	and	CCONJ
cana-1060	50	40	supply	supply	NOUN
cana-1060	50	41	.	.	PUNCT
cana-1060	51	1	scholars	scholar	NOUN
cana-1060	51	2	have	have	AUX
cana-1060	51	3	studied	study	VERB
cana-1060	51	4	prepayment	prepayment	NOUN
cana-1060	51	5	systems	system	NOUN
cana-1060	51	6	with	with	ADP
cana-1060	51	7	pioneering	pioneer	VERB
cana-1060	51	8	work	work	NOUN
cana-1060	51	9	by	by	ADP
cana-1060	51	10	zhang	zhang	PROPN
cana-1060	51	11	followed	follow	VERB
cana-1060	51	12	by	by	ADP
cana-1060	51	13	innovative	innovative	ADJ
cana-1060	51	14	applications	application	NOUN
cana-1060	51	15	such	such	ADJ
cana-1060	51	16	as	as	ADP
cana-1060	51	17	genetic	genetic	ADJ
cana-1060	51	18	algorithms	algorithm	NOUN
cana-1060	51	19	for	for	ADP
cana-1060	51	20	inventory	inventory	NOUN
cana-1060	51	21	models	model	NOUN
cana-1060	51	22	with	with	ADP
cana-1060	51	23	advance	advance	NOUN
cana-1060	51	24	payments	payment	NOUN
cana-1060	51	25	and	and	CCONJ
cana-1060	51	26	price	price	NOUN
cana-1060	51	27	discounts	discount	NOUN
cana-1060	51	28	,	,	PUNCT
cana-1060	51	29	as	as	SCONJ
cana-1060	51	30	demonstrated	demonstrate	VERB
cana-1060	51	31	by	by	ADP
cana-1060	51	32	gupta	gupta	PROPN
cana-1060	51	33	.	.	PUNCT
cana-1060	52	1	advanced	advanced	ADJ
cana-1060	52	2	payments	payment	NOUN
cana-1060	52	3	on	on	ADP
cana-1060	52	4	inventory	inventory	NOUN
cana-1060	52	5	management	management	NOUN
cana-1060	52	6	systems	system	NOUN
cana-1060	52	7	have	have	AUX
cana-1060	52	8	influenced	influence	VERB
cana-1060	52	9	non	non	ADJ
cana-1060	52	10	-	-	ADJ
cana-1060	52	11	instantaneous	instantaneous	ADJ
cana-1060	52	12	deterioration	deterioration	NOUN
cana-1060	52	13	and	and	CCONJ
cana-1060	52	14	partial	partial	ADJ
cana-1060	52	15	backlogging	backlogging	NOUN
cana-1060	52	16	in	in	ADP
cana-1060	52	17	recent	recent	ADJ
cana-1060	52	18	years	year	NOUN
cana-1060	52	19	.	.	PUNCT
cana-1060	53	1	studies	study	NOUN
cana-1060	53	2	by	by	ADP
cana-1060	53	3	duary(15	duary(15	NOUN
cana-1060	53	4	)	)	PUNCT
cana-1060	53	5	,	,	PUNCT
cana-1060	53	6	khan(16	khan(16	NOUN
cana-1060	53	7	)	)	PUNCT
cana-1060	53	8	,	,	PUNCT
cana-1060	53	9	and	and	CCONJ
cana-1060	53	10	tavassoli(18	tavassoli(18	NOUN
cana-1060	53	11	)	)	PUNCT
cana-1060	53	12	have	have	AUX
cana-1060	53	13	formulated	formulate	VERB
cana-1060	53	14	inventory	inventory	NOUN
cana-1060	53	15	models	model	NOUN
cana-1060	53	16	integrating	integrate	VERB
cana-1060	53	17	advanced	advanced	ADJ
cana-1060	53	18	payments	payment	NOUN
cana-1060	53	19	with	with	ADP
cana-1060	53	20	considerations	consideration	NOUN
cana-1060	53	21	like	like	ADP
cana-1060	53	22	deterioration	deterioration	NOUN
cana-1060	53	23	and	and	CCONJ
cana-1060	53	24	partial	partial	ADJ
cana-1060	53	25	back	back	ADV
cana-1060	53	26	ordering	order	VERB
cana-1060	53	27	alongside	alongside	ADP
cana-1060	53	28	delayed	delay	VERB
cana-1060	53	29	payment	payment	NOUN
cana-1060	53	30	policies	policy	NOUN
cana-1060	53	31	.	.	PUNCT
cana-1060	54	1	additionally	additionally	ADV
cana-1060	54	2	,	,	PUNCT
cana-1060	54	3	the	the	DET
cana-1060	54	4	fixed	fix	VERB
cana-1060	54	5	lifetime	lifetime	NOUN
cana-1060	54	6	with	with	ADP
cana-1060	54	7	advanced	advanced	ADJ
cana-1060	54	8	payment	payment	NOUN
cana-1060	54	9	and	and	CCONJ
cana-1060	54	10	the	the	DET
cana-1060	54	11	discount	discount	NOUN
cana-1060	54	12	rate	rate	NOUN
cana-1060	54	13	was	be	AUX
cana-1060	54	14	developed	develop	VERB
cana-1060	54	15	by	by	ADP
cana-1060	54	16	mukunda(20	mukunda(20	NOUN
cana-1060	54	17	)	)	PUNCT
cana-1060	54	18	.	.	PUNCT
cana-1060	55	1	2.4	2.4	NUM
cana-1060	55	2	inventory	inventory	NOUN
cana-1060	55	3	model	model	NOUN
cana-1060	55	4	with	with	ADP
cana-1060	55	5	trade	trade	NOUN
cana-1060	55	6	credit	credit	NOUN
cana-1060	55	7	this	this	DET
cana-1060	55	8	research	research	NOUN
cana-1060	55	9	focuses	focus	VERB
cana-1060	55	10	on	on	ADP
cana-1060	55	11	incorporating	incorporate	VERB
cana-1060	55	12	two	two	NUM
cana-1060	55	13	payment	payment	NOUN
cana-1060	55	14	schemes	scheme	NOUN
cana-1060	55	15	(	(	PUNCT
cana-1060	55	16	advanced	advanced	ADJ
cana-1060	55	17	payment	payment	NOUN
cana-1060	55	18	and	and	CCONJ
cana-1060	55	19	credit	credit	NOUN
cana-1060	55	20	payment	payment	NOUN
cana-1060	55	21	)	)	PUNCT
cana-1060	55	22	with	with	ADP
cana-1060	55	23	allowable	allowable	ADJ
cana-1060	55	24	shortages	shortage	NOUN
cana-1060	55	25	of	of	ADP
cana-1060	55	26	items	item	NOUN
cana-1060	55	27	into	into	ADP
cana-1060	55	28	an	an	DET
cana-1060	55	29	inventory	inventory	NOUN
cana-1060	55	30	model	model	NOUN
cana-1060	55	31	,	,	PUNCT
cana-1060	55	32	representing	represent	VERB
cana-1060	55	33	an	an	DET
cana-1060	55	34	innovative	innovative	ADJ
cana-1060	55	35	approach	approach	NOUN
cana-1060	55	36	within	within	ADP
cana-1060	55	37	trade	trade	NOUN
cana-1060	55	38	credit	credit	NOUN
cana-1060	55	39	policies	policy	NOUN
cana-1060	55	40	and	and	CCONJ
cana-1060	55	41	inventory	inventory	NOUN
cana-1060	55	42	management	management	NOUN
cana-1060	55	43	.	.	PUNCT
cana-1060	56	1	this	this	DET
cana-1060	56	2	approach	approach	NOUN
cana-1060	56	3	adds	add	VERB
cana-1060	56	4	complexity	complexity	NOUN
cana-1060	56	5	and	and	CCONJ
cana-1060	56	6	realism	realism	NOUN
cana-1060	56	7	to	to	ADP
cana-1060	56	8	the	the	DET
cana-1060	56	9	model	model	NOUN
cana-1060	56	10	by	by	ADP
cana-1060	56	11	considering	consider	VERB
cana-1060	56	12	different	different	ADJ
cana-1060	56	13	payment	payment	NOUN
cana-1060	56	14	options	option	NOUN
cana-1060	56	15	and	and	CCONJ
cana-1060	56	16	the	the	DET
cana-1060	56	17	possibility	possibility	NOUN
cana-1060	56	18	of	of	ADP
cana-1060	56	19	item	item	NOUN
cana-1060	56	20	shortages	shortage	NOUN
cana-1060	56	21	,	,	PUNCT
cana-1060	56	22	which	which	PRON
cana-1060	56	23	can	can	AUX
cana-1060	56	24	significantly	significantly	ADV
cana-1060	56	25	impact	impact	VERB
cana-1060	56	26	supply	supply	NOUN
cana-1060	56	27	chain	chain	NOUN
cana-1060	56	28	dynamics	dynamic	NOUN
cana-1060	56	29	and	and	CCONJ
cana-1060	56	30	business	business	NOUN
cana-1060	56	31	operations	operation	NOUN
cana-1060	56	32	.	.	PUNCT
cana-1060	57	1	furthermore	furthermore	ADV
cana-1060	57	2	,	,	PUNCT
cana-1060	57	3	allowing	allow	VERB
cana-1060	57	4	shortages	shortage	NOUN
cana-1060	57	5	acknowledges	acknowledge	VERB
cana-1060	57	6	the	the	DET
cana-1060	57	7	business	business	NOUN
cana-1060	57	8	's	's	PART
cana-1060	57	9	challenges	challenge	NOUN
cana-1060	57	10	in	in	ADP
cana-1060	57	11	maintaining	maintain	VERB
cana-1060	57	12	perfect	perfect	ADJ
cana-1060	57	13	inventory	inventory	NOUN
cana-1060	57	14	levels	level	NOUN
cana-1060	57	15	.	.	PUNCT
cana-1060	58	1	it	it	PRON
cana-1060	58	2	highlights	highlight	VERB
cana-1060	58	3	the	the	DET
cana-1060	58	4	trade	trade	NOUN
cana-1060	58	5	-	-	PUNCT
cana-1060	58	6	offs	off	NOUN
cana-1060	58	7	between	between	ADP
cana-1060	58	8	inventory	inventory	NOUN
cana-1060	58	9	costs	cost	NOUN
cana-1060	58	10	,	,	PUNCT
cana-1060	58	11	customer	customer	NOUN
cana-1060	58	12	service	service	NOUN
cana-1060	58	13	levels	level	NOUN
cana-1060	58	14	,	,	PUNCT
cana-1060	58	15	and	and	CCONJ
cana-1060	58	16	financial	financial	ADJ
cana-1060	58	17	constraints	constraint	NOUN
cana-1060	58	18	.	.	PUNCT
cana-1060	59	1	over	over	ADP
cana-1060	59	2	the	the	DET
cana-1060	59	3	last	last	ADJ
cana-1060	59	4	twenty	twenty	NUM
cana-1060	59	5	years	year	NOUN
cana-1060	59	6	,	,	PUNCT
cana-1060	59	7	many	many	ADJ
cana-1060	59	8	researchers	researcher	NOUN
cana-1060	59	9	have	have	AUX
cana-1060	59	10	incorporated	incorporate	VERB
cana-1060	59	11	trade	trade	NOUN
cana-1060	59	12	credit	credit	NOUN
cana-1060	59	13	in	in	ADP
cana-1060	59	14	an	an	DET
cana-1060	59	15	inventory	inventory	NOUN
cana-1060	59	16	model	model	NOUN
cana-1060	59	17	.	.	PUNCT
cana-1060	60	1	some	some	DET
cana-1060	60	2	studies	study	NOUN
cana-1060	60	3	have	have	AUX
cana-1060	60	4	suggested	suggest	VERB
cana-1060	60	5	delaying	delay	VERB
cana-1060	60	6	payments	payment	NOUN
cana-1060	60	7	partly	partly	ADV
cana-1060	60	8	to	to	PART
cana-1060	60	9	encourage	encourage	VERB
cana-1060	60	10	retailers	retailer	NOUN
cana-1060	60	11	to	to	PART
cana-1060	60	12	place	place	VERB
cana-1060	60	13	larger	large	ADJ
cana-1060	60	14	orders	order	NOUN
cana-1060	60	15	.	.	PUNCT
cana-1060	61	1	trade	trade	NOUN
cana-1060	61	2	credit	credit	NOUN
cana-1060	61	3	can	can	AUX
cana-1060	61	4	stimulate	stimulate	VERB
cana-1060	61	5	the	the	DET
cana-1060	61	6	inter	inter	ADJ
cana-1060	61	7	-	-	NOUN
cana-1060	61	8	organization	organization	NOUN
cana-1060	61	9	's	's	PART
cana-1060	61	10	power	power	NOUN
cana-1060	61	11	in	in	ADP
cana-1060	61	12	the	the	DET
cana-1060	61	13	supply	supply	NOUN
cana-1060	61	14	chain	chain	NOUN
cana-1060	61	15	system	system	NOUN
cana-1060	61	16	developed	develop	VERB
cana-1060	61	17	by	by	ADP
cana-1060	61	18	lin(5	lin(5	NOUN
cana-1060	61	19	)	)	PUNCT
cana-1060	61	20	.	.	PUNCT
cana-1060	62	1	mahato(9	mahato(9	PROPN
cana-1060	62	2	)	)	PUNCT
cana-1060	62	3	established	establish	VERB
cana-1060	62	4	a	a	DET
cana-1060	62	5	trade	trade	NOUN
cana-1060	62	6	credit	credit	NOUN
cana-1060	62	7	policy	policy	NOUN
cana-1060	62	8	-	-	PUNCT
cana-1060	62	9	based	base	VERB
cana-1060	62	10	sustainable	sustainable	ADJ
cana-1060	62	11	eoq	eoq	NOUN
cana-1060	62	12	model	model	NOUN
cana-1060	62	13	adopting	adopt	VERB
cana-1060	62	14	partial	partial	ADJ
cana-1060	62	15	back	back	ADV
cana-1060	62	16	ordering	order	VERB
cana-1060	62	17	shortages	shortage	NOUN
cana-1060	62	18	.	.	PUNCT
cana-1060	63	1	choudhury(14	choudhury(14	NOUN
cana-1060	63	2	)	)	PUNCT
cana-1060	63	3	investigated	investigate	VERB
cana-1060	63	4	an	an	DET
cana-1060	63	5	integrated	integrate	VERB
cana-1060	63	6	inventory	inventory	NOUN
cana-1060	63	7	model	model	NOUN
cana-1060	63	8	with	with	ADP
cana-1060	63	9	capacity	capacity	NOUN
cana-1060	63	10	constraints	constraint	NOUN
cana-1060	63	11	under	under	ADP
cana-1060	63	12	order	order	NOUN
cana-1060	63	13	-	-	PUNCT
cana-1060	63	14	size	size	NOUN
cana-1060	63	15	-	-	PUNCT
cana-1060	63	16	dependent	dependent	ADJ
cana-1060	63	17	trade	trade	NOUN
cana-1060	63	18	credit	credit	NOUN
cana-1060	63	19	,	,	PUNCT
cana-1060	63	20	all	all	DET
cana-1060	63	21	-	-	PUNCT
cana-1060	63	22	unit	unit	NOUN
cana-1060	63	23	discount	discount	NOUN
cana-1060	63	24	,	,	PUNCT
cana-1060	63	25	and	and	CCONJ
cana-1060	63	26	partial	partial	ADJ
cana-1060	63	27	backlogging	backlogging	NOUN
cana-1060	63	28	.	.	PUNCT
cana-1060	64	1	in	in	ADP
cana-1060	64	2	their	their	PRON
cana-1060	64	3	study	study	NOUN
cana-1060	64	4	,	,	PUNCT
cana-1060	64	5	they	they	PRON
cana-1060	64	6	considered	consider	VERB
cana-1060	64	7	order	order	NOUN
cana-1060	64	8	size	size	NOUN
cana-1060	64	9	-	-	PUNCT
cana-1060	64	10	dependent	dependent	ADJ
cana-1060	64	11	trade	trade	NOUN
cana-1060	64	12	credit	credit	NOUN
cana-1060	64	13	along	along	ADP
cana-1060	64	14	with	with	ADP
cana-1060	64	15	all	all	DET
cana-1060	64	16	unit	unit	NOUN
cana-1060	64	17	discounts	discount	NOUN
cana-1060	64	18	.	.	PUNCT
cana-1060	65	1	chung(21	chung(21	NOUN
cana-1060	65	2	)	)	PUNCT
cana-1060	65	3	created	create	VERB
cana-1060	65	4	a	a	DET
cana-1060	65	5	model	model	NOUN
cana-1060	65	6	for	for	ADP
cana-1060	65	7	managing	manage	VERB
cana-1060	65	8	inventory	inventory	NOUN
cana-1060	65	9	that	that	PRON
cana-1060	65	10	considers	consider	VERB
cana-1060	65	11	products	product	NOUN
cana-1060	65	12	with	with	ADP
cana-1060	65	13	varying	vary	VERB
cana-1060	65	14	deterioration	deterioration	NOUN
cana-1060	65	15	rates	rate	NOUN
cana-1060	65	16	over	over	ADP
cana-1060	65	17	time	time	NOUN
cana-1060	65	18	and	and	CCONJ
cana-1060	65	19	expiration	expiration	NOUN
cana-1060	65	20	dates	date	NOUN
cana-1060	65	21	while	while	SCONJ
cana-1060	65	22	also	also	ADV
cana-1060	65	23	considering	consider	VERB
cana-1060	65	24	that	that	SCONJ
cana-1060	65	25	the	the	DET
cana-1060	65	26	retailer	retailer	NOUN
cana-1060	65	27	provides	provide	VERB
cana-1060	65	28	a	a	DET
cana-1060	65	29	credit	credit	NOUN
cana-1060	65	30	period	period	NOUN
cana-1060	65	31	to	to	ADP
cana-1060	65	32	its	its	PRON
cana-1060	65	33	customers	customer	NOUN
cana-1060	65	34	.	.	PUNCT
cana-1060	66	1	momena	momena	PROPN
cana-1060	66	2	et	et	PROPN
cana-1060	66	3	al.(24	al.(24	PROPN
cana-1060	66	4	)	)	PUNCT
cana-1060	66	5	have	have	AUX
cana-1060	66	6	recently	recently	ADV
cana-1060	66	7	devised	devise	VERB
cana-1060	66	8	a	a	DET
cana-1060	66	9	trade	trade	NOUN
cana-1060	66	10	credit	credit	NOUN
cana-1060	66	11	inventory	inventory	NOUN
cana-1060	66	12	model	model	NOUN
cana-1060	66	13	incorporating	incorporate	VERB
cana-1060	66	14	a	a	DET
cana-1060	66	15	quantity	quantity	NOUN
cana-1060	66	16	discount	discount	NOUN
cana-1060	66	17	policy	policy	NOUN
cana-1060	66	18	within	within	ADP
cana-1060	66	19	a	a	DET
cana-1060	66	20	dual	dual	ADJ
cana-1060	66	21	-	-	PUNCT
cana-1060	66	22	storage	storage	NOUN
cana-1060	66	23	facility	facility	NOUN
cana-1060	66	24	.	.	PUNCT
cana-1060	67	1	previous	previous	ADJ
cana-1060	67	2	studies	study	NOUN
cana-1060	67	3	predominantly	predominantly	ADV
cana-1060	67	4	explored	explore	VERB
cana-1060	67	5	inventory	inventory	NOUN
cana-1060	67	6	models	model	NOUN
cana-1060	67	7	incorporating	incorporate	VERB
cana-1060	67	8	trade	trade	NOUN
cana-1060	67	9	credit	credit	NOUN
cana-1060	67	10	payment	payment	NOUN
cana-1060	67	11	schemes	scheme	NOUN
cana-1060	67	12	without	without	ADP
cana-1060	67	13	simultaneously	simultaneously	ADV
cana-1060	67	14	integrating	integrate	VERB
cana-1060	67	15	multiple	multiple	ADJ
cana-1060	67	16	prepayment	prepayment	NOUN
cana-1060	67	17	and	and	CCONJ
cana-1060	67	18	trade	trade	NOUN
cana-1060	67	19	credit	credit	NOUN
cana-1060	67	20	policies	policy	NOUN
cana-1060	67	21	alongside	alongside	ADP
cana-1060	67	22	allowable	allowable	ADJ
cana-1060	67	23	shortages	shortage	NOUN
cana-1060	67	24	.	.	PUNCT
cana-1060	68	1	in	in	ADP
cana-1060	68	2	contrast	contrast	NOUN
cana-1060	68	3	,	,	PUNCT
cana-1060	68	4	our	our	PRON
cana-1060	68	5	research	research	NOUN
cana-1060	68	6	examines	examine	VERB
cana-1060	68	7	explicitly	explicitly	ADV
cana-1060	68	8	two	two	NUM
cana-1060	68	9	payment	payment	NOUN
cana-1060	68	10	schemes	scheme	NOUN
cana-1060	68	11	(	(	PUNCT
cana-1060	68	12	advanced	advanced	ADJ
cana-1060	68	13	payment	payment	NOUN
cana-1060	68	14	and	and	CCONJ
cana-1060	68	15	credit	credit	NOUN
cana-1060	68	16	payment	payment	NOUN
cana-1060	68	17	)	)	PUNCT
cana-1060	68	18	within	within	ADP
cana-1060	68	19	an	an	DET
cana-1060	68	20	inventory	inventory	NOUN
cana-1060	68	21	model	model	NOUN
cana-1060	68	22	that	that	PRON
cana-1060	68	23	realistically	realistically	ADV
cana-1060	68	24	allows	allow	VERB
cana-1060	68	25	for	for	ADP
cana-1060	68	26	item	item	NOUN
cana-1060	68	27	shortages	shortage	NOUN
cana-1060	68	28	,	,	PUNCT
cana-1060	68	29	presenting	present	VERB
cana-1060	68	30	a	a	DET
cana-1060	68	31	more	more	ADV
cana-1060	68	32	comprehensive	comprehensive	ADJ
cana-1060	68	33	and	and	CCONJ
cana-1060	68	34	practical	practical	ADJ
cana-1060	68	35	approach	approach	NOUN
cana-1060	68	36	to	to	ADP
cana-1060	68	37	inventory	inventory	NOUN
cana-1060	68	38	management	management	NOUN
cana-1060	68	39	.	.	PUNCT
cana-1060	69	1	communications	communication	NOUN
cana-1060	69	2	on	on	ADP
cana-1060	69	3	applied	apply	VERB
cana-1060	69	4	nonlinear	nonlinear	ADJ
cana-1060	69	5	analysis	analysis	NOUN
cana-1060	69	6	issn	issn	NOUN
cana-1060	69	7	:	:	PUNCT
cana-1060	69	8	1074	1074	NUM
cana-1060	69	9	-	-	PUNCT
cana-1060	69	10	133x	133x	NUM
cana-1060	69	11	vol	vol	NOUN
cana-1060	69	12	31	31	NUM
cana-1060	69	13	no	no	NOUN
cana-1060	69	14	.	.	PUNCT
cana-1060	70	1	5s	5s	NUM
cana-1060	70	2	(	(	PUNCT
cana-1060	70	3	2024	2024	NUM
cana-1060	70	4	)	)	PUNCT
cana-1060	70	5	414	414	NUM
cana-1060	70	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	70	7	2.5	2.5	NUM
cana-1060	70	8	price	price	NOUN
cana-1060	70	9	-	-	PUNCT
cana-1060	70	10	dependent	dependent	ADJ
cana-1060	70	11	demand	demand	NOUN
cana-1060	70	12	with	with	ADP
cana-1060	70	13	advertisement	advertisement	NOUN
cana-1060	70	14	this	this	DET
cana-1060	70	15	study	study	NOUN
cana-1060	70	16	focusing	focus	VERB
cana-1060	70	17	on	on	ADP
cana-1060	70	18	an	an	DET
cana-1060	70	19	inventory	inventory	NOUN
cana-1060	70	20	model	model	NOUN
cana-1060	70	21	with	with	ADP
cana-1060	70	22	a	a	DET
cana-1060	70	23	demand	demand	NOUN
cana-1060	70	24	function	function	NOUN
cana-1060	70	25	incorporating	incorporate	VERB
cana-1060	70	26	a	a	DET
cana-1060	70	27	linearly	linearly	ADV
cana-1060	70	28	decreasing	decrease	VERB
cana-1060	70	29	price	price	NOUN
cana-1060	70	30	dependence	dependence	NOUN
cana-1060	70	31	and	and	CCONJ
cana-1060	70	32	a	a	DET
cana-1060	70	33	nonlinear	nonlinear	ADJ
cana-1060	70	34	increase	increase	NOUN
cana-1060	70	35	that	that	PRON
cana-1060	70	36	is	be	AUX
cana-1060	70	37	influenced	influence	VERB
cana-1060	70	38	by	by	ADP
cana-1060	70	39	advertising	advertising	NOUN
cana-1060	70	40	and	and	CCONJ
cana-1060	70	41	various	various	ADJ
cana-1060	70	42	additional	additional	ADJ
cana-1060	70	43	factors	factor	NOUN
cana-1060	70	44	such	such	ADJ
cana-1060	70	45	as	as	ADP
cana-1060	70	46	prepayment	prepayment	NOUN
cana-1060	70	47	,	,	PUNCT
cana-1060	70	48	delay	delay	NOUN
cana-1060	70	49	payment	payment	NOUN
cana-1060	70	50	,	,	PUNCT
cana-1060	70	51	partial	partial	ADJ
cana-1060	70	52	backlogging	backlogging	NOUN
cana-1060	70	53	,	,	PUNCT
cana-1060	70	54	and	and	CCONJ
cana-1060	70	55	time	time	NOUN
cana-1060	70	56	-	-	PUNCT
cana-1060	70	57	varying	vary	VERB
cana-1060	70	58	deterioration	deterioration	NOUN
cana-1060	70	59	with	with	ADP
cana-1060	70	60	expiration	expiration	NOUN
cana-1060	70	61	date	date	NOUN
cana-1060	70	62	represents	represent	VERB
cana-1060	70	63	a	a	DET
cana-1060	70	64	comprehensive	comprehensive	ADJ
cana-1060	70	65	and	and	CCONJ
cana-1060	70	66	timely	timely	ADJ
cana-1060	70	67	approach	approach	NOUN
cana-1060	70	68	to	to	ADP
cana-1060	70	69	addressing	address	VERB
cana-1060	70	70	real	real	ADJ
cana-1060	70	71	-	-	PUNCT
cana-1060	70	72	world	world	NOUN
cana-1060	70	73	challenges	challenge	NOUN
cana-1060	70	74	in	in	ADP
cana-1060	70	75	supply	supply	NOUN
cana-1060	70	76	chain	chain	NOUN
cana-1060	70	77	management	management	NOUN
cana-1060	70	78	;	;	PUNCT
cana-1060	70	79	businesses	business	NOUN
cana-1060	70	80	are	be	AUX
cana-1060	70	81	adapting	adapt	VERB
cana-1060	70	82	to	to	ADP
cana-1060	70	83	changing	change	VERB
cana-1060	70	84	market	market	NOUN
cana-1060	70	85	conditions	condition	NOUN
cana-1060	70	86	and	and	CCONJ
cana-1060	70	87	consumer	consumer	NOUN
cana-1060	70	88	behaviours	behaviour	NOUN
cana-1060	70	89	,	,	PUNCT
cana-1060	70	90	especially	especially	ADV
cana-1060	70	91	after	after	ADP
cana-1060	70	92	the	the	DET
cana-1060	70	93	pandemic	pandemic	ADJ
cana-1060	70	94	.	.	PUNCT
cana-1060	71	1	market	market	NOUN
cana-1060	71	2	pricing	pricing	NOUN
cana-1060	71	3	is	be	AUX
cana-1060	71	4	a	a	DET
cana-1060	71	5	critical	critical	ADJ
cana-1060	71	6	aspect	aspect	NOUN
cana-1060	71	7	that	that	PRON
cana-1060	71	8	is	be	AUX
cana-1060	71	9	rigidly	rigidly	ADV
cana-1060	71	10	adhered	adhere	VERB
cana-1060	71	11	to	to	ADP
cana-1060	71	12	by	by	ADP
cana-1060	71	13	market	market	NOUN
cana-1060	71	14	demand	demand	NOUN
cana-1060	71	15	.	.	PUNCT
cana-1060	72	1	increasing	increase	VERB
cana-1060	72	2	the	the	DET
cana-1060	72	3	market	market	NOUN
cana-1060	72	4	price	price	NOUN
cana-1060	72	5	diminishes	diminish	VERB
cana-1060	72	6	the	the	DET
cana-1060	72	7	market	market	NOUN
cana-1060	72	8	demand	demand	NOUN
cana-1060	72	9	and	and	CCONJ
cana-1060	72	10	vice	vice	NOUN
cana-1060	72	11	versa	versa	ADV
cana-1060	72	12	.	.	PUNCT
cana-1060	73	1	as	as	ADP
cana-1060	73	2	a	a	DET
cana-1060	73	3	result	result	NOUN
cana-1060	73	4	,	,	PUNCT
cana-1060	73	5	it	it	PRON
cana-1060	73	6	plays	play	VERB
cana-1060	73	7	a	a	DET
cana-1060	73	8	crucial	crucial	ADJ
cana-1060	73	9	role	role	NOUN
cana-1060	73	10	in	in	ADP
cana-1060	73	11	inventory	inventory	NOUN
cana-1060	73	12	management	management	NOUN
cana-1060	73	13	.	.	PUNCT
cana-1060	74	1	connection	connection	NOUN
cana-1060	74	2	with	with	ADP
cana-1060	74	3	the	the	DET
cana-1060	74	4	inventory	inventory	NOUN
cana-1060	74	5	model	model	NOUN
cana-1060	74	6	,	,	PUNCT
cana-1060	74	7	where	where	SCONJ
cana-1060	74	8	the	the	DET
cana-1060	74	9	selling	selling	NOUN
cana-1060	74	10	price	price	NOUN
cana-1060	74	11	of	of	ADP
cana-1060	74	12	the	the	DET
cana-1060	74	13	items	item	NOUN
cana-1060	74	14	governs	govern	VERB
cana-1060	74	15	the	the	DET
cana-1060	74	16	demand	demand	NOUN
cana-1060	74	17	function	function	NOUN
cana-1060	74	18	,	,	PUNCT
cana-1060	74	19	has	have	AUX
cana-1060	74	20	been	be	AUX
cana-1060	74	21	studied	study	VERB
cana-1060	74	22	since	since	SCONJ
cana-1060	74	23	then	then	ADV
cana-1060	74	24	in	in	ADP
cana-1060	74	25	the	the	DET
cana-1060	74	26	seminal	seminal	ADJ
cana-1060	74	27	work	work	NOUN
cana-1060	74	28	published	publish	VERB
cana-1060	74	29	by	by	ADP
cana-1060	74	30	whitin(1	whitin(1	NOUN
cana-1060	74	31	)	)	PUNCT
cana-1060	74	32	.	.	PUNCT
cana-1060	75	1	selling	sell	VERB
cana-1060	75	2	price	price	NOUN
cana-1060	75	3	-	-	PUNCT
cana-1060	75	4	dependent	dependent	ADJ
cana-1060	75	5	demand	demand	NOUN
cana-1060	75	6	with	with	ADP
cana-1060	75	7	various	various	ADJ
cana-1060	75	8	conditions	condition	NOUN
cana-1060	75	9	is	be	AUX
cana-1060	75	10	a	a	DET
cana-1060	75	11	significantly	significantly	ADV
cana-1060	75	12	trending	trend	VERB
cana-1060	75	13	research	research	NOUN
cana-1060	75	14	area	area	NOUN
cana-1060	75	15	for	for	ADP
cana-1060	75	16	evidence	evidence	NOUN
cana-1060	75	17	in	in	ADP
cana-1060	75	18	the	the	DET
cana-1060	75	19	last	last	ADJ
cana-1060	75	20	five	five	NUM
cana-1060	75	21	years	year	NOUN
cana-1060	75	22	;	;	PUNCT
cana-1060	75	23	udayakumar	udayakumar	PROPN
cana-1060	75	24	et	et	NOUN
cana-1060	75	25	al.(13	al.(13	PROPN
cana-1060	75	26	)	)	PUNCT
cana-1060	75	27	developed	develop	VERB
cana-1060	75	28	delayed	delay	VERB
cana-1060	75	29	payment	payment	NOUN
cana-1060	75	30	inventory	inventory	NOUN
cana-1060	75	31	models	model	NOUN
cana-1060	75	32	based	base	VERB
cana-1060	75	33	on	on	ADP
cana-1060	75	34	the	the	DET
cana-1060	75	35	assumption	assumption	NOUN
cana-1060	75	36	that	that	SCONJ
cana-1060	75	37	non	non	ADJ
cana-1060	75	38	-	-	ADJ
cana-1060	75	39	instantaneous	instantaneous	ADJ
cana-1060	75	40	deterioration	deterioration	NOUN
cana-1060	75	41	and	and	CCONJ
cana-1060	75	42	demand	demand	NOUN
cana-1060	75	43	is	be	AUX
cana-1060	75	44	a	a	DET
cana-1060	75	45	deterministic	deterministic	ADJ
cana-1060	75	46	function	function	NOUN
cana-1060	75	47	of	of	ADP
cana-1060	75	48	selling	sell	VERB
cana-1060	75	49	price	price	NOUN
cana-1060	75	50	and	and	CCONJ
cana-1060	75	51	advertising	advertising	NOUN
cana-1060	75	52	cost	cost	NOUN
cana-1060	75	53	.	.	PUNCT
cana-1060	76	1	this	this	DET
cana-1060	76	2	study	study	NOUN
cana-1060	76	3	highlights	highlight	VERB
cana-1060	76	4	the	the	DET
cana-1060	76	5	complexities	complexity	NOUN
cana-1060	76	6	of	of	ADP
cana-1060	76	7	perishable	perishable	ADJ
cana-1060	76	8	inventory	inventory	NOUN
cana-1060	76	9	management	management	NOUN
cana-1060	76	10	under	under	ADP
cana-1060	76	11	extended	extended	ADJ
cana-1060	76	12	supply	supply	NOUN
cana-1060	76	13	chain	chain	NOUN
cana-1060	76	14	dynamics	dynamic	NOUN
cana-1060	76	15	.	.	PUNCT
cana-1060	77	1	many	many	ADJ
cana-1060	77	2	researchers	researcher	NOUN
cana-1060	77	3	,	,	PUNCT
cana-1060	77	4	such	such	ADJ
cana-1060	77	5	as	as	ADP
cana-1060	77	6	khara	khara	PROPN
cana-1060	77	7	et	et	PROPN
cana-1060	77	8	al.(8	al.(8	ADJ
cana-1060	77	9	)	)	PUNCT
cana-1060	77	10	,	,	PUNCT
cana-1060	77	11	san	san	PROPN
cana-1060	77	12	-	-	PUNCT
cana-1060	77	13	jose	jose	PROPN
cana-1060	77	14	et	et	NOUN
cana-1060	77	15	al.(11	al.(11	PROPN
cana-1060	77	16	)	)	PUNCT
cana-1060	77	17	,	,	PUNCT
cana-1060	77	18	alshanbari	alshanbari	PROPN
cana-1060	77	19	et	et	PROPN
cana-1060	77	20	al.(7	al.(7	NOUN
cana-1060	77	21	)	)	PUNCT
cana-1060	77	22	,	,	PUNCT
cana-1060	77	23	and	and	CCONJ
cana-1060	77	24	khan	khan	PROPN
cana-1060	77	25	et	et	PROPN
cana-1060	77	26	al.(16	al.(16	PROPN
cana-1060	77	27	)	)	PUNCT
cana-1060	77	28	have	have	AUX
cana-1060	77	29	investigated	investigate	VERB
cana-1060	77	30	optimal	optimal	ADJ
cana-1060	77	31	advertising	advertising	NOUN
cana-1060	77	32	policies	policy	NOUN
cana-1060	77	33	and	and	CCONJ
cana-1060	77	34	hybrid	hybrid	ADJ
cana-1060	77	35	payment	payment	NOUN
cana-1060	77	36	mechanisms	mechanism	NOUN
cana-1060	77	37	that	that	PRON
cana-1060	77	38	combine	combine	VERB
cana-1060	77	39	advance	advance	NOUN
cana-1060	77	40	and	and	CCONJ
cana-1060	77	41	cash	cash	NOUN
cana-1060	77	42	payments	payment	NOUN
cana-1060	77	43	to	to	PART
cana-1060	77	44	maximize	maximize	VERB
cana-1060	77	45	retailer	retailer	NOUN
cana-1060	77	46	profitability	profitability	NOUN
cana-1060	77	47	during	during	ADP
cana-1060	77	48	business	business	NOUN
cana-1060	77	49	operations	operation	NOUN
cana-1060	77	50	.	.	PUNCT
cana-1060	78	1	subhash(22	subhash(22	NOUN
cana-1060	78	2	)	)	PUNCT
cana-1060	78	3	formulated	formulate	VERB
cana-1060	78	4	a	a	DET
cana-1060	78	5	green	green	ADJ
cana-1060	78	6	product	product	NOUN
cana-1060	78	7	inventory	inventory	NOUN
cana-1060	78	8	model	model	NOUN
cana-1060	78	9	to	to	PART
cana-1060	78	10	address	address	VERB
cana-1060	78	11	price	price	NOUN
cana-1060	78	12	-	-	PUNCT
cana-1060	78	13	dependent	dependent	ADJ
cana-1060	78	14	demand	demand	NOUN
cana-1060	78	15	,	,	PUNCT
cana-1060	78	16	employing	employ	VERB
cana-1060	78	17	a	a	DET
cana-1060	78	18	teaching	teaching	NOUN
cana-1060	78	19	and	and	CCONJ
cana-1060	78	20	learning	learning	NOUN
cana-1060	78	21	-	-	PUNCT
cana-1060	78	22	based	base	VERB
cana-1060	78	23	optimization	optimization	NOUN
cana-1060	78	24	algorithm	algorithm	NOUN
cana-1060	78	25	for	for	ADP
cana-1060	78	26	solution	solution	NOUN
cana-1060	78	27	refinement	refinement	NOUN
cana-1060	78	28	.	.	PUNCT
cana-1060	79	1	some	some	PRON
cana-1060	79	2	of	of	ADP
cana-1060	79	3	the	the	DET
cana-1060	79	4	related	relate	VERB
cana-1060	79	5	works	work	NOUN
cana-1060	79	6	are	be	AUX
cana-1060	79	7	presented	present	VERB
cana-1060	79	8	in	in	ADP
cana-1060	79	9	table	table	NOUN
cana-1060	79	10	1	1	NUM
cana-1060	79	11	.	.	PUNCT
cana-1060	79	12	table	table	NOUN
cana-1060	79	13	1	1	NUM
cana-1060	79	14	comparison	comparison	NOUN
cana-1060	79	15	of	of	ADP
cana-1060	79	16	the	the	DET
cana-1060	79	17	study	study	NOUN
cana-1060	79	18	with	with	ADP
cana-1060	79	19	related	related	ADJ
cana-1060	79	20	works	work	NOUN
cana-1060	79	21	source	source	NOUN
cana-1060	79	22	demand	demand	NOUN
cana-1060	79	23	rate	rate	NOUN
cana-1060	79	24	deterioration	deterioration	NOUN
cana-1060	79	25	holding	hold	VERB
cana-1060	79	26	cost	cost	NOUN
cana-1060	79	27	advertisement	advertisement	NOUN
cana-1060	79	28	payment	payment	NOUN
cana-1060	79	29	scheme	scheme	NOUN
cana-1060	79	30	discount	discount	NOUN
cana-1060	79	31	on	on	ADP
cana-1060	79	32	%	%	NOUN
cana-1060	79	33	shortage	shortage	NOUN
cana-1060	79	34	prepayment	prepayment	NOUN
cana-1060	79	35	delayed	delay	VERB
cana-1060	79	36	payment	payment	NOUN
cana-1060	79	37	[	[	X
cana-1060	79	38	4	4	NUM
cana-1060	79	39	]	]	PUNCT
cana-1060	79	40	(	(	PUNCT
cana-1060	79	41	2020	2020	NUM
cana-1060	79	42	)	)	PUNCT
cana-1060	79	43	p	p	NOUN
cana-1060	79	44	&	&	CCONJ
cana-1060	79	45	sd	sd	ADP
cana-1060	79	46	constant	constant	ADJ
cana-1060	79	47	constant	constant	ADJ
cana-1060	80	1	no	no	INTJ
cana-1060	80	2	yes	yes	INTJ
cana-1060	81	1	no	no	INTJ
cana-1060	81	2	yes	yes	INTJ
cana-1060	81	3	constant	constant	ADJ
cana-1060	81	4	&	&	CCONJ
cana-1060	81	5	pb	pb	X
cana-1060	82	1	[	[	X
cana-1060	82	2	7	7	NUM
cana-1060	82	3	]	]	SYM
cana-1060	82	4	(	(	PUNCT
cana-1060	82	5	2021	2021	NUM
cana-1060	82	6	)	)	PUNCT
cana-1060	82	7	pd	pd	PROPN
cana-1060	82	8	tv	tv	PROPN
cana-1060	82	9	&	&	CCONJ
cana-1060	82	10	is	be	AUX
cana-1060	82	11	constant	constant	ADJ
cana-1060	83	1	yes	yes	INTJ
cana-1060	83	2	yes	yes	INTJ
cana-1060	84	1	no	no	INTJ
cana-1060	84	2	no	no	INTJ
cana-1060	85	1	pb	pb	ADP
cana-1060	85	2	[	[	X
cana-1060	85	3	10	10	NUM
cana-1060	85	4	]	]	PUNCT
cana-1060	85	5	(	(	PUNCT
cana-1060	85	6	2021	2021	NUM
cana-1060	85	7	)	)	PUNCT
cana-1060	85	8	p	p	NOUN
cana-1060	85	9	&	&	CCONJ
cana-1060	85	10	sd	sd	ADP
cana-1060	85	11	constant	constant	ADJ
cana-1060	85	12	constant	constant	ADJ
cana-1060	86	1	no	no	INTJ
cana-1060	86	2	yes	yes	INTJ
cana-1060	87	1	no	no	INTJ
cana-1060	88	1	yes	yes	INTJ
cana-1060	88	2	pb	pb	X
cana-1060	89	1	[	[	X
cana-1060	89	2	17	17	NUM
cana-1060	89	3	]	]	PUNCT
cana-1060	89	4	(	(	PUNCT
cana-1060	89	5	2022	2022	NUM
cana-1060	89	6	)	)	PUNCT
cana-1060	89	7	p	p	NOUN
cana-1060	89	8	&	&	CCONJ
cana-1060	89	9	td	td	PROPN
cana-1060	89	10	constant	constant	ADJ
cana-1060	89	11	constant	constant	NOUN
cana-1060	90	1	no	no	INTJ
cana-1060	91	1	yes	yes	INTJ
cana-1060	91	2	yes	yes	INTJ
cana-1060	92	1	no	no	INTJ
cana-1060	92	2	no	no	INTJ
cana-1060	93	1	[	[	X
cana-1060	93	2	16	16	NUM
cana-1060	93	3	]	]	PUNCT
cana-1060	93	4	(	(	PUNCT
cana-1060	93	5	2022	2022	NUM
cana-1060	93	6	)	)	PUNCT
cana-1060	93	7	td	td	NOUN
cana-1060	93	8	tv	tv	PROPN
cana-1060	93	9	&	&	CCONJ
cana-1060	93	10	nis	nis	PROPN
cana-1060	93	11	ltd	ltd	PROPN
cana-1060	94	1	no	no	INTJ
cana-1060	94	2	yes	yes	INTJ
cana-1060	95	1	yes	yes	INTJ
cana-1060	95	2	no	no	INTJ
cana-1060	96	1	pb	pb	ADP
cana-1060	96	2	[	[	X
cana-1060	96	3	19	19	NUM
cana-1060	96	4	]	]	PUNCT
cana-1060	96	5	(	(	PUNCT
cana-1060	96	6	2023	2023	NUM
cana-1060	96	7	)	)	PUNCT
cana-1060	96	8	pd	pd	NOUN
cana-1060	96	9	with	with	ADP
cana-1060	96	10	freshness	freshness	NOUN
cana-1060	96	11	tv	tv	NOUN
cana-1060	96	12	with	with	ADP
cana-1060	96	13	expiration	expiration	NOUN
cana-1060	96	14	ltd	ltd	PROPN
cana-1060	97	1	yes	yes	INTJ
cana-1060	97	2	no	no	INTJ
cana-1060	97	3	no	no	INTJ
cana-1060	97	4	no	no	INTJ
cana-1060	97	5	pb	pb	ADP
cana-1060	98	1	[	[	X
cana-1060	98	2	20	20	NUM
cana-1060	98	3	]	]	PUNCT
cana-1060	98	4	(	(	PUNCT
cana-1060	98	5	2023	2023	NUM
cana-1060	98	6	)	)	PUNCT
cana-1060	98	7	pd	pd	PROPN
cana-1060	98	8	tv	tv	NOUN
cana-1060	98	9	with	with	ADP
cana-1060	98	10	expiration	expiration	NOUN
cana-1060	98	11	ltd	ltd	PROPN
cana-1060	98	12	with	with	ADP
cana-1060	98	13	pc	pc	NOUN
cana-1060	99	1	no	no	INTJ
cana-1060	100	1	yes	yes	INTJ
cana-1060	101	1	yes	yes	INTJ
cana-1060	101	2	yes	yes	INTJ
cana-1060	101	3	pb	pb	INTJ
cana-1060	101	4	with	with	ADP
cana-1060	101	5	wtd	wtd	NOUN
cana-1060	102	1	[	[	X
cana-1060	102	2	23	23	NUM
cana-1060	102	3	]	]	PUNCT
cana-1060	102	4	(	(	PUNCT
cana-1060	102	5	2024	2024	NUM
cana-1060	102	6	)	)	PUNCT
cana-1060	102	7	pd	pd	PROPN
cana-1060	102	8	constant	constant	PROPN
cana-1060	102	9	&	&	CCONJ
cana-1060	102	10	nis	nis	PROPN
cana-1060	102	11	constant	constant	PROPN
cana-1060	103	1	yes	yes	INTJ
cana-1060	103	2	yes	yes	INTJ
cana-1060	104	1	no	no	INTJ
cana-1060	104	2	no	no	INTJ
cana-1060	104	3	pb	pb	ADP
cana-1060	104	4	this	this	DET
cana-1060	104	5	work	work	NOUN
cana-1060	104	6	pd	pd	PROPN
cana-1060	104	7	with	with	ADP
cana-1060	104	8	freshness	freshness	NOUN
cana-1060	104	9	nis	nis	PROPN
cana-1060	104	10	&	&	CCONJ
cana-1060	104	11	tvwith	tvwith	PROPN
cana-1060	104	12	expiration	expiration	PROPN
cana-1060	104	13	ltd	ltd	PROPN
cana-1060	104	14	with	with	ADP
cana-1060	104	15	pc	pc	NOUN
cana-1060	105	1	yes	yes	INTJ
cana-1060	106	1	yes	yes	INTJ
cana-1060	107	1	yes	yes	INTJ
cana-1060	107	2	yes	yes	INTJ
cana-1060	107	3	pb	pb	INTJ
cana-1060	107	4	with	with	ADP
cana-1060	107	5	wtd	wtd	NOUN
cana-1060	107	6	communications	communication	NOUN
cana-1060	107	7	on	on	ADP
cana-1060	107	8	applied	apply	VERB
cana-1060	107	9	nonlinear	nonlinear	ADJ
cana-1060	107	10	analysis	analysis	NOUN
cana-1060	107	11	issn	issn	NOUN
cana-1060	107	12	:	:	PUNCT
cana-1060	107	13	1074	1074	NUM
cana-1060	107	14	-	-	PUNCT
cana-1060	107	15	133x	133x	NUM
cana-1060	107	16	vol	vol	NOUN
cana-1060	107	17	31	31	NUM
cana-1060	107	18	no	no	NOUN
cana-1060	107	19	.	.	PUNCT
cana-1060	108	1	5s	5s	NUM
cana-1060	108	2	(	(	PUNCT
cana-1060	108	3	2024	2024	NUM
cana-1060	108	4	)	)	PUNCT
cana-1060	108	5	415	415	NUM
cana-1060	108	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	108	7	pd	pd	PROPN
cana-1060	108	8	–	–	PUNCT
cana-1060	108	9	price	price	NOUN
cana-1060	108	10	dependent	dependent	ADJ
cana-1060	108	11	,	,	PUNCT
cana-1060	108	12	p	p	NOUN
cana-1060	108	13	&	&	CCONJ
cana-1060	108	14	sd	sd	ADJ
cana-1060	108	15	–	–	PUNCT
cana-1060	108	16	price	price	NOUN
cana-1060	108	17	and	and	CCONJ
cana-1060	108	18	stock	stock	NOUN
cana-1060	108	19	dependent	dependent	ADJ
cana-1060	108	20	,	,	PUNCT
cana-1060	108	21	p	p	NOUN
cana-1060	108	22	&	&	CCONJ
cana-1060	108	23	td	td	ADJ
cana-1060	108	24	–	–	PUNCT
cana-1060	108	25	price	price	NOUN
cana-1060	108	26	and	and	CCONJ
cana-1060	108	27	time	time	NOUN
cana-1060	108	28	dependent	dependent	ADJ
cana-1060	108	29	,	,	PUNCT
cana-1060	108	30	tv	tv	NOUN
cana-1060	108	31	–	–	PUNCT
cana-1060	108	32	time	time	NOUN
cana-1060	108	33	varying	varying	NOUN
cana-1060	108	34	,	,	PUNCT
cana-1060	108	35	is	be	AUX
cana-1060	108	36	–	–	PUNCT
cana-1060	108	37	instantaneous	instantaneous	ADJ
cana-1060	108	38	,	,	PUNCT
cana-1060	108	39	nis	nis	X
cana-1060	108	40	–	–	PUNCT
cana-1060	108	41	non	non	ADJ
cana-1060	108	42	-	-	ADJ
cana-1060	108	43	instantaneous	instantaneous	ADJ
cana-1060	108	44	,	,	PUNCT
cana-1060	108	45	ltd	ltd	ADJ
cana-1060	108	46	–	–	PUNCT
cana-1060	108	47	linearly	linearly	ADV
cana-1060	108	48	time	time	NOUN
cana-1060	108	49	dependent	dependent	ADJ
cana-1060	108	50	,	,	PUNCT
cana-1060	108	51	pc	pc	NOUN
cana-1060	108	52	–	–	PUNCT
cana-1060	108	53	purchase	purchase	NOUN
cana-1060	108	54	cost	cost	NOUN
cana-1060	108	55	,	,	PUNCT
cana-1060	108	56	pb	pb	ADP
cana-1060	108	57	–	–	PUNCT
cana-1060	108	58	partial	partial	ADJ
cana-1060	108	59	backlogging	backlogging	NOUN
cana-1060	108	60	,	,	PUNCT
cana-1060	108	61	wtd	wtd	NOUN
cana-1060	108	62	–	–	PUNCT
cana-1060	108	63	waiting	waiting	NOUN
cana-1060	108	64	time	time	NOUN
cana-1060	108	65	dependent	dependent	ADJ
cana-1060	108	66	based	base	VERB
cana-1060	108	67	on	on	ADP
cana-1060	108	68	the	the	DET
cana-1060	108	69	literature	literature	PROPN
cana-1060	108	70	review	review	PROPN
cana-1060	108	71	,	,	PUNCT
cana-1060	108	72	a	a	DET
cana-1060	108	73	research	research	NOUN
cana-1060	108	74	gap	gap	NOUN
cana-1060	108	75	in	in	ADP
cana-1060	108	76	inventory	inventory	NOUN
cana-1060	108	77	management	management	NOUN
cana-1060	108	78	was	be	AUX
cana-1060	108	79	identified	identify	VERB
cana-1060	108	80	and	and	CCONJ
cana-1060	108	81	addressed	address	VERB
cana-1060	108	82	by	by	ADP
cana-1060	108	83	formulating	formulate	VERB
cana-1060	108	84	a	a	DET
cana-1060	108	85	comprehensive	comprehensive	ADJ
cana-1060	108	86	mathematical	mathematical	ADJ
cana-1060	108	87	model	model	NOUN
cana-1060	108	88	.	.	PUNCT
cana-1060	109	1	price	price	NOUN
cana-1060	109	2	-	-	PUNCT
cana-1060	109	3	sensitive	sensitive	ADJ
cana-1060	109	4	demand	demand	NOUN
cana-1060	109	5	,	,	PUNCT
cana-1060	109	6	focusing	focus	VERB
cana-1060	109	7	on	on	ADP
cana-1060	109	8	advertising	advertising	NOUN
cana-1060	109	9	frequency	frequency	NOUN
cana-1060	109	10	and	and	CCONJ
cana-1060	109	11	product	product	NOUN
cana-1060	109	12	freshness	freshness	NOUN
cana-1060	109	13	,	,	PUNCT
cana-1060	109	14	prepayment	prepayment	NOUN
cana-1060	109	15	,	,	PUNCT
cana-1060	109	16	delay	delay	NOUN
cana-1060	109	17	payment	payment	NOUN
cana-1060	109	18	,	,	PUNCT
cana-1060	109	19	partial	partial	ADJ
cana-1060	109	20	backlogging	backlogging	NOUN
cana-1060	109	21	,	,	PUNCT
cana-1060	109	22	and	and	CCONJ
cana-1060	109	23	time	time	NOUN
cana-1060	109	24	-	-	PUNCT
cana-1060	109	25	varying	vary	VERB
cana-1060	109	26	deterioration	deterioration	NOUN
cana-1060	109	27	,	,	PUNCT
cana-1060	109	28	considering	consider	VERB
cana-1060	109	29	non	non	ADJ
cana-1060	109	30	-	-	ADJ
cana-1060	109	31	instantaneous	instantaneous	ADJ
cana-1060	109	32	deterioration	deterioration	NOUN
cana-1060	109	33	,	,	PUNCT
cana-1060	109	34	are	be	AUX
cana-1060	109	35	innovatively	innovatively	ADV
cana-1060	109	36	integrated	integrate	VERB
cana-1060	109	37	into	into	ADP
cana-1060	109	38	this	this	DET
cana-1060	109	39	model	model	NOUN
cana-1060	109	40	.	.	PUNCT
cana-1060	110	1	this	this	DET
cana-1060	110	2	optimization	optimization	NOUN
cana-1060	110	3	model	model	NOUN
cana-1060	110	4	aims	aim	VERB
cana-1060	110	5	to	to	PART
cana-1060	110	6	maximize	maximize	VERB
cana-1060	110	7	profit	profit	NOUN
cana-1060	110	8	and	and	CCONJ
cana-1060	110	9	underscores	underscore	VERB
cana-1060	110	10	the	the	DET
cana-1060	110	11	significance	significance	NOUN
cana-1060	110	12	of	of	ADP
cana-1060	110	13	this	this	DET
cana-1060	110	14	research	research	NOUN
cana-1060	110	15	in	in	ADP
cana-1060	110	16	the	the	DET
cana-1060	110	17	following	follow	VERB
cana-1060	110	18	research	research	NOUN
cana-1060	110	19	questions	question	NOUN
cana-1060	110	20	:	:	PUNCT
cana-1060	110	21	2.6	2.6	NUM
cana-1060	110	22	research	research	NOUN
cana-1060	110	23	questions	question	NOUN
cana-1060	110	24	1	1	NUM
cana-1060	110	25	.	.	PUNCT
cana-1060	111	1	how	how	SCONJ
cana-1060	111	2	do	do	AUX
cana-1060	111	3	prepayment	prepayment	NOUN
cana-1060	111	4	and	and	CCONJ
cana-1060	111	5	delay	delay	NOUN
cana-1060	111	6	-	-	PUNCT
cana-1060	111	7	in	in	ADP
cana-1060	111	8	payment	payment	NOUN
cana-1060	111	9	schemes	scheme	NOUN
cana-1060	111	10	impact	impact	VERB
cana-1060	111	11	inventory	inventory	NOUN
cana-1060	111	12	management	management	NOUN
cana-1060	111	13	strategies	strategy	NOUN
cana-1060	111	14	and	and	CCONJ
cana-1060	111	15	profitability	profitability	NOUN
cana-1060	111	16	?	?	PUNCT
cana-1060	112	1	2	2	X
cana-1060	112	2	.	.	X
cana-1060	112	3	how	how	SCONJ
cana-1060	112	4	can	can	AUX
cana-1060	112	5	we	we	PRON
cana-1060	112	6	optimize	optimize	VERB
cana-1060	112	7	balance	balance	NOUN
cana-1060	112	8	inventory	inventory	NOUN
cana-1060	112	9	levels	level	NOUN
cana-1060	112	10	and	and	CCONJ
cana-1060	112	11	partial	partial	ADJ
cana-1060	112	12	backlogging	backlogging	NOUN
cana-1060	112	13	to	to	PART
cana-1060	112	14	maximize	maximize	VERB
cana-1060	112	15	profit	profit	NOUN
cana-1060	112	16	while	while	SCONJ
cana-1060	112	17	meeting	meet	VERB
cana-1060	112	18	demand	demand	NOUN
cana-1060	112	19	?	?	PUNCT
cana-1060	113	1	3	3	X
cana-1060	113	2	.	.	X
cana-1060	113	3	what	what	PRON
cana-1060	113	4	is	be	AUX
cana-1060	113	5	the	the	DET
cana-1060	113	6	impact	impact	NOUN
cana-1060	113	7	of	of	ADP
cana-1060	113	8	considering	consider	VERB
cana-1060	113	9	time	time	NOUN
cana-1060	113	10	-	-	PUNCT
cana-1060	113	11	varying	vary	VERB
cana-1060	113	12	deterioration	deterioration	NOUN
cana-1060	113	13	with	with	ADP
cana-1060	113	14	expiration	expiration	NOUN
cana-1060	113	15	dates	date	NOUN
cana-1060	113	16	to	to	PART
cana-1060	113	17	improve	improve	VERB
cana-1060	113	18	inventory	inventory	NOUN
cana-1060	113	19	decision	decision	NOUN
cana-1060	113	20	-	-	PUNCT
cana-1060	113	21	making	making	NOUN
cana-1060	113	22	for	for	ADP
cana-1060	113	23	perishable	perishable	ADJ
cana-1060	113	24	goods	good	NOUN
cana-1060	113	25	?	?	PUNCT
cana-1060	114	1	4	4	X
cana-1060	114	2	.	.	X
cana-1060	114	3	how	how	SCONJ
cana-1060	114	4	does	do	AUX
cana-1060	114	5	price	price	NOUN
cana-1060	114	6	-	-	PUNCT
cana-1060	114	7	sensitive	sensitive	ADJ
cana-1060	114	8	demand	demand	NOUN
cana-1060	114	9	,	,	PUNCT
cana-1060	114	10	influenced	influence	VERB
cana-1060	114	11	by	by	ADP
cana-1060	114	12	advertising	advertising	NOUN
cana-1060	114	13	frequency	frequency	NOUN
cana-1060	114	14	and	and	CCONJ
cana-1060	114	15	product	product	NOUN
cana-1060	114	16	freshness	freshness	NOUN
cana-1060	114	17	,	,	PUNCT
cana-1060	114	18	affect	affect	VERB
cana-1060	114	19	inventory	inventory	NOUN
cana-1060	114	20	policies	policy	NOUN
cana-1060	114	21	and	and	CCONJ
cana-1060	114	22	profitability	profitability	NOUN
cana-1060	114	23	?	?	PUNCT
cana-1060	115	1	5	5	X
cana-1060	115	2	.	.	X
cana-1060	116	1	what	what	PRON
cana-1060	116	2	are	be	AUX
cana-1060	116	3	this	this	DET
cana-1060	116	4	business	business	NOUN
cana-1060	116	5	strategy	strategy	NOUN
cana-1060	116	6	's	's	PART
cana-1060	116	7	practical	practical	ADJ
cana-1060	116	8	challenges	challenge	NOUN
cana-1060	116	9	,	,	PUNCT
cana-1060	116	10	implications	implication	NOUN
cana-1060	116	11	,	,	PUNCT
cana-1060	116	12	and	and	CCONJ
cana-1060	116	13	market	market	NOUN
cana-1060	116	14	segments	segment	NOUN
cana-1060	116	15	to	to	PART
cana-1060	116	16	ensure	ensure	VERB
cana-1060	116	17	sustained	sustained	ADJ
cana-1060	116	18	profitability	profitability	NOUN
cana-1060	116	19	?	?	PUNCT
cana-1060	117	1	this	this	DET
cana-1060	117	2	model	model	NOUN
cana-1060	117	3	fills	fill	VERB
cana-1060	117	4	a	a	DET
cana-1060	117	5	significant	significant	ADJ
cana-1060	117	6	research	research	NOUN
cana-1060	117	7	gap	gap	NOUN
cana-1060	117	8	and	and	CCONJ
cana-1060	117	9	provides	provide	VERB
cana-1060	117	10	actionable	actionable	ADJ
cana-1060	117	11	outputs	output	NOUN
cana-1060	117	12	for	for	SCONJ
cana-1060	117	13	businesses	business	NOUN
cana-1060	117	14	to	to	PART
cana-1060	117	15	optimize	optimize	VERB
cana-1060	117	16	inventory	inventory	NOUN
cana-1060	117	17	practices	practice	NOUN
cana-1060	117	18	,	,	PUNCT
cana-1060	117	19	maximize	maximize	VERB
cana-1060	117	20	profitability	profitability	NOUN
cana-1060	117	21	,	,	PUNCT
cana-1060	117	22	and	and	CCONJ
cana-1060	117	23	adapt	adapt	VERB
cana-1060	117	24	to	to	ADP
cana-1060	117	25	evolving	evolve	VERB
cana-1060	117	26	market	market	NOUN
cana-1060	117	27	demands	demand	NOUN
cana-1060	117	28	effectively	effectively	ADV
cana-1060	117	29	.	.	PUNCT
cana-1060	118	1	3	3	NUM
cana-1060	118	2	notations	notation	NOUN
cana-1060	118	3	and	and	CCONJ
cana-1060	118	4	assumptions	assumption	VERB
cana-1060	118	5	the	the	DET
cana-1060	118	6	following	follow	VERB
cana-1060	118	7	notations	notation	NOUN
cana-1060	118	8	and	and	CCONJ
cana-1060	118	9	assumptions	assumption	NOUN
cana-1060	118	10	create	create	VERB
cana-1060	118	11	a	a	DET
cana-1060	118	12	mathematical	mathematical	ADJ
cana-1060	118	13	model	model	NOUN
cana-1060	118	14	of	of	ADP
cana-1060	118	15	the	the	DET
cana-1060	118	16	proposed	propose	VERB
cana-1060	118	17	problem	problem	NOUN
cana-1060	118	18	.	.	PUNCT
cana-1060	119	1	3.1	3.1	NUM
cana-1060	119	2	notations	notation	NOUN
cana-1060	119	3	the	the	DET
cana-1060	119	4	notations	notation	NOUN
cana-1060	119	5	are	be	AUX
cana-1060	119	6	as	as	SCONJ
cana-1060	119	7	follows	follow	VERB
cana-1060	119	8	k	k	PROPN
cana-1060	119	9	replenishment	replenishment	NOUN
cana-1060	119	10	cost	cost	NOUN
cana-1060	119	11	per	per	ADP
cana-1060	119	12	order	order	NOUN
cana-1060	119	13	c	c	NOUN
cana-1060	119	14	purchase	purchase	NOUN
cana-1060	119	15	cost	cost	NOUN
cana-1060	119	16	per	per	ADP
cana-1060	119	17	unit	unit	NOUN
cana-1060	119	18	s	s	PART
cana-1060	119	19	shortage	shortage	NOUN
cana-1060	119	20	cost	cost	NOUN
cana-1060	119	21	per	per	ADP
cana-1060	119	22	unit	unit	NOUN
cana-1060	119	23	d	d	NOUN
cana-1060	119	24	cost	cost	NOUN
cana-1060	119	25	of	of	ADP
cana-1060	119	26	deterioration	deterioration	NOUN
cana-1060	119	27	per	per	ADP
cana-1060	119	28	unit	unit	NOUN
cana-1060	119	29	of	of	ADP
cana-1060	119	30	time	time	NOUN
cana-1060	119	31	l	l	PROPN
cana-1060	119	32	lost	lose	VERB
cana-1060	119	33	sale	sale	NOUN
cana-1060	119	34	cost	cost	NOUN
cana-1060	119	35	per	per	ADP
cana-1060	119	36	unit	unit	NOUN
cana-1060	119	37	ie	ie	X
cana-1060	119	38	interest	interest	NOUN
cana-1060	119	39	earned	earn	VERB
cana-1060	119	40	in	in	ADP
cana-1060	119	41	a	a	DET
cana-1060	119	42	year	year	NOUN
cana-1060	119	43	l	l	NOUN
cana-1060	119	44	delivery	delivery	NOUN
cana-1060	119	45	lead	lead	NOUN
cana-1060	119	46	-	-	PUNCT
cana-1060	119	47	time	time	NOUN
cana-1060	119	48	m	m	NOUN
cana-1060	119	49	permissible	permissible	ADJ
cana-1060	119	50	delay	delay	NOUN
cana-1060	119	51	in	in	ADP
cana-1060	119	52	the	the	DET
cana-1060	119	53	payment	payment	NOUN
cana-1060	119	54	period	period	NOUN
cana-1060	119	55	n	n	DET
cana-1060	119	56	number	number	NOUN
cana-1060	119	57	of	of	ADP
cana-1060	119	58	installments	installment	NOUN
cana-1060	119	59	defined	define	VERB
cana-1060	119	60	for	for	ADP
cana-1060	119	61	prepayments	prepayment	NOUN
cana-1060	119	62	during	during	ADP
cana-1060	119	63	the	the	DET
cana-1060	119	64	lead	lead	ADJ
cana-1060	119	65	time	time	NOUN
cana-1060	119	66	communications	communication	NOUN
cana-1060	119	67	on	on	ADP
cana-1060	119	68	applied	apply	VERB
cana-1060	119	69	nonlinear	nonlinear	ADJ
cana-1060	119	70	analysis	analysis	NOUN
cana-1060	119	71	issn	issn	NOUN
cana-1060	119	72	:	:	PUNCT
cana-1060	119	73	1074	1074	NUM
cana-1060	119	74	-	-	PUNCT
cana-1060	119	75	133x	133x	NUM
cana-1060	119	76	vol	vol	NOUN
cana-1060	119	77	31	31	NUM
cana-1060	119	78	no	no	NOUN
cana-1060	119	79	.	.	PUNCT
cana-1060	120	1	5s	5s	NUM
cana-1060	120	2	(	(	PUNCT
cana-1060	120	3	2024	2024	NUM
cana-1060	120	4	)	)	PUNCT
cana-1060	120	5	416	416	NUM
cana-1060	120	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	120	7	il	il	PROPN
cana-1060	120	8	interest	interest	NOUN
cana-1060	120	9	rate	rate	NOUN
cana-1060	120	10	on	on	ADP
cana-1060	120	11	loan	loan	NOUN
cana-1060	120	12	per	per	ADP
cana-1060	120	13	year	year	NOUN
cana-1060	120	14	ic	ic	PROPN
cana-1060	120	15	interest	interest	NOUN
cana-1060	120	16	rate	rate	NOUN
cana-1060	120	17	charges	charge	NOUN
cana-1060	120	18	per	per	ADP
cana-1060	120	19	year	year	NOUN
cana-1060	120	20	td	td	NOUN
cana-1060	120	21	time	time	NOUN
cana-1060	120	22	at	at	ADP
cana-1060	120	23	which	which	PRON
cana-1060	120	24	the	the	DET
cana-1060	120	25	product	product	NOUN
cana-1060	120	26	remains	remain	VERB
cana-1060	120	27	fresh	fresh	ADJ
cana-1060	120	28	because	because	SCONJ
cana-1060	120	29	of	of	ADP
cana-1060	120	30	no	no	DET
cana-1060	120	31	deterioration	deterioration	NOUN
cana-1060	120	32	α	α	PRON
cana-1060	120	33	discount	discount	NOUN
cana-1060	120	34	rate	rate	NOUN
cana-1060	120	35	for	for	ADP
cana-1060	120	36	purchasing	purchase	VERB
cana-1060	120	37	cost	cost	NOUN
cana-1060	120	38	due	due	ADP
cana-1060	120	39	to	to	ADP
cana-1060	120	40	prepayments	prepayment	NOUN
cana-1060	120	41	s	s	PART
cana-1060	120	42	maximum	maximum	ADJ
cana-1060	120	43	stock	stock	NOUN
cana-1060	120	44	per	per	ADP
cana-1060	120	45	cycle	cycle	NOUN
cana-1060	120	46	r	r	NOUN
cana-1060	120	47	maximum	maximum	ADJ
cana-1060	120	48	shortage	shortage	NOUN
cana-1060	120	49	per	per	ADP
cana-1060	120	50	cycle	cycle	NOUN
cana-1060	120	51	g	g	PROPN
cana-1060	120	52	expenditure	expenditure	NOUN
cana-1060	120	53	per	per	ADP
cana-1060	120	54	advertisement	advertisement	NOUN
cana-1060	120	55	q	q	NOUN
cana-1060	120	56	order	order	NOUN
cana-1060	120	57	quantity	quantity	NOUN
cana-1060	120	58	per	per	ADP
cana-1060	120	59	replenishment	replenishment	NOUN
cana-1060	120	60	cycle	cycle	NOUN
cana-1060	120	61	i	i	NOUN
cana-1060	120	62	total	total	ADJ
cana-1060	120	63	profit	profit	NOUN
cana-1060	120	64	for	for	ADP
cana-1060	120	65	i	i	PROPN
cana-1060	120	66	=	=	NOUN
cana-1060	120	67	1	1	NUM
cana-1060	120	68	,	,	PUNCT
cana-1060	120	69	2	2	NUM
cana-1060	120	70	,	,	PUNCT
cana-1060	120	71	3	3	NUM
cana-1060	120	72	decision	decision	NOUN
cana-1060	120	73	variables	variable	NOUN
cana-1060	120	74	t1	t1	NOUN
cana-1060	120	75	time	time	NOUN
cana-1060	120	76	at	at	ADP
cana-1060	120	77	which	which	PRON
cana-1060	120	78	the	the	DET
cana-1060	120	79	stock	stock	NOUN
cana-1060	120	80	reaches	reach	VERB
cana-1060	120	81	zero	zero	NUM
cana-1060	120	82	p	p	NOUN
cana-1060	120	83	selling	selling	NOUN
cana-1060	120	84	price	price	NOUN
cana-1060	120	85	per	per	ADP
cana-1060	120	86	unit	unit	NOUN
cana-1060	120	87	t	t	PROPN
cana-1060	120	88	cycle	cycle	NOUN
cana-1060	120	89	time	time	NOUN
cana-1060	120	90	3.2	3.2	NUM
cana-1060	120	91	assumptions	assumption	NOUN
cana-1060	120	92	1	1	NUM
cana-1060	120	93	.	.	PUNCT
cana-1060	121	1	there	there	PRON
cana-1060	121	2	is	be	VERB
cana-1060	121	3	an	an	DET
cana-1060	121	4	expiration	expiration	NOUN
cana-1060	121	5	date	date	NOUN
cana-1060	121	6	on	on	ADP
cana-1060	121	7	items	item	NOUN
cana-1060	121	8	that	that	PRON
cana-1060	121	9	are	be	AUX
cana-1060	121	10	deteriorating	deteriorate	VERB
cana-1060	121	11	.	.	PUNCT
cana-1060	122	1	the	the	DET
cana-1060	122	2	degrading	degrade	VERB
cana-1060	122	3	rate	rate	NOUN
cana-1060	122	4	approaches	approach	VERB
cana-1060	122	5	the	the	DET
cana-1060	122	6	maximum	maximum	ADJ
cana-1060	122	7	lifetime	lifetime	NOUN
cana-1060	122	8	‘	'	PUNCT
cana-1060	122	9	m	m	NOUN
cana-1060	122	10	’	'	PUNCT
cana-1060	122	11	,	,	PUNCT
cana-1060	122	12	at	at	ADP
cana-1060	122	13	which	which	DET
cana-1060	122	14	point	point	NOUN
cana-1060	122	15	it	it	PRON
cana-1060	122	16	approaches	approach	VERB
cana-1060	122	17	1	1	NUM
cana-1060	122	18	,	,	PUNCT
cana-1060	122	19	which	which	PRON
cana-1060	122	20	makes	make	VERB
cana-1060	122	21	it	it	PRON
cana-1060	122	22	practically	practically	ADV
cana-1060	122	23	relevant	relevant	ADJ
cana-1060	122	24	.	.	PUNCT
cana-1060	123	1	to	to	PART
cana-1060	123	2	make	make	VERB
cana-1060	123	3	this	this	DET
cana-1060	123	4	scenario	scenario	NOUN
cana-1060	123	5	possible	possible	ADJ
cana-1060	123	6	,	,	PUNCT
cana-1060	123	7	the	the	DET
cana-1060	123	8	rate	rate	NOUN
cana-1060	123	9	of	of	ADP
cana-1060	123	10	degradation	degradation	NOUN
cana-1060	123	11	is	be	AUX
cana-1060	123	12	(	(	PUNCT
cana-1060	123	13	)	)	PUNCT
cana-1060	123	14	1	1	NUM
cana-1060	123	15	,	,	PUNCT
cana-1060	123	16	0	0	NUM
cana-1060	123	17	1	1	NUM
cana-1060	123	18	t	t	NOUN
cana-1060	123	19	t	t	PROPN
cana-1060	123	20	t	t	PROPN
cana-1060	123	21	m	m	VERB
cana-1060	123	22	m	m	VERB
cana-1060	123	23	t	t	NOUN
cana-1060	123	24			PROPN
cana-1060	123	25	=	=	SYM
cana-1060	124	1			NOUN
cana-1060	124	2			NOUN
cana-1060	124	3			NOUN
cana-1060	125	1	+	+	CCONJ
cana-1060	125	2	−	−	NOUN
cana-1060	125	3	it	it	PRON
cana-1060	125	4	may	may	AUX
cana-1060	125	5	be	be	AUX
cana-1060	125	6	noted	note	VERB
cana-1060	125	7	that	that	SCONJ
cana-1060	125	8	the	the	DET
cana-1060	125	9	product	product	NOUN
cana-1060	125	10	will	will	AUX
cana-1060	125	11	not	not	PART
cana-1060	125	12	be	be	AUX
cana-1060	125	13	sold	sell	VERB
cana-1060	125	14	after	after	ADP
cana-1060	125	15	its	its	PRON
cana-1060	125	16	maximum	maximum	ADJ
cana-1060	125	17	life	life	NOUN
cana-1060	125	18	of	of	ADP
cana-1060	125	19	m.	m.	PROPN
cana-1060	125	20	t	t	PROPN
cana-1060	125	21	,	,	PUNCT
cana-1060	125	22	thus	thus	ADV
cana-1060	125	23	,	,	PUNCT
cana-1060	125	24	needs	need	VERB
cana-1060	125	25	to	to	PART
cana-1060	125	26	be	be	AUX
cana-1060	125	27	less	less	ADJ
cana-1060	125	28	than	than	ADP
cana-1060	125	29	or	or	CCONJ
cana-1060	125	30	equal	equal	ADJ
cana-1060	125	31	to	to	ADP
cana-1060	125	32	m	m	PROPN
cana-1060	125	33	for	for	ADP
cana-1060	125	34	the	the	DET
cana-1060	125	35	replenishing	replenish	VERB
cana-1060	125	36	cycle	cycle	NOUN
cana-1060	125	37	time	time	NOUN
cana-1060	125	38	.	.	PUNCT
cana-1060	126	1	2	2	X
cana-1060	126	2	.	.	X
cana-1060	126	3	d(p	d(p	PROPN
cana-1060	126	4	)	)	PUNCT
cana-1060	126	5	is	be	AUX
cana-1060	126	6	the	the	DET
cana-1060	126	7	demand	demand	NOUN
cana-1060	126	8	function	function	NOUN
cana-1060	126	9	that	that	PRON
cana-1060	126	10	is	be	AUX
cana-1060	126	11	contingent	contingent	ADJ
cana-1060	126	12	upon	upon	SCONJ
cana-1060	126	13	a	a	DET
cana-1060	126	14	tripartite	tripartite	ADJ
cana-1060	126	15	relationship	relationship	NOUN
cana-1060	126	16	between	between	ADP
cana-1060	126	17	advertising	advertising	NOUN
cana-1060	126	18	frequency	frequency	NOUN
cana-1060	126	19	,	,	PUNCT
cana-1060	126	20	product	product	NOUN
cana-1060	126	21	freshness	freshness	NOUN
cana-1060	126	22	and	and	CCONJ
cana-1060	126	23	selling	sell	VERB
cana-1060	126	24	price	price	NOUN
cana-1060	126	25	.	.	PUNCT
cana-1060	127	1	demand	demand	NOUN
cana-1060	127	2	function	function	NOUN
cana-1060	127	3	expressed	express	VERB
cana-1060	127	4	as	as	ADP
cana-1060	127	5	(	(	PUNCT
cana-1060	127	6	)	)	PUNCT
cana-1060	127	7	(	(	PUNCT
cana-1060	127	8	)	)	PUNCT
cana-1060	127	9	m	m	VERB
cana-1060	127	10	t	t	NOUN
cana-1060	128	1	d	d	X
cana-1060	128	2	p	p	X
cana-1060	128	3	a	a	DET
cana-1060	128	4	a	a	DET
cana-1060	128	5	bp	bp	PROPN
cana-1060	128	6	m	m	VERB
cana-1060	128	7			NUM
cana-1060	128	8	−	−	PUNCT
cana-1060	128	9			NOUN
cana-1060	128	10	=	=	PUNCT
cana-1060	128	11	−	−	PROPN
cana-1060	129	1			PROPN
cana-1060	129	2			PROPN
cana-1060	130	1			PROPN
cana-1060	130	2			NOUN
cana-1060	130	3	,	,	PUNCT
cana-1060	130	4	where	where	SCONJ
cana-1060	130	5	‘	'	PUNCT
cana-1060	130	6	a	a	DET
cana-1060	130	7	’	'	PUNCT
cana-1060	130	8	for	for	ADP
cana-1060	130	9	the	the	DET
cana-1060	130	10	advertisement	advertisement	NOUN
cana-1060	130	11	frequency	frequency	NOUN
cana-1060	130	12	,	,	PUNCT
cana-1060	130	13			PUNCT
cana-1060	130	14			NOUN
cana-1060	130	15	[	[	X
cana-1060	130	16	0	0	NUM
cana-1060	130	17	,	,	PUNCT
cana-1060	130	18	1	1	NUM
cana-1060	130	19	)	)	PUNCT
cana-1060	130	20	is	be	AUX
cana-1060	130	21	the	the	DET
cana-1060	130	22	elasticity	elasticity	NOUN
cana-1060	130	23	of	of	ADP
cana-1060	130	24	the	the	DET
cana-1060	130	25	advertising	advertising	NOUN
cana-1060	130	26	factor	factor	NOUN
cana-1060	130	27	,	,	PUNCT
cana-1060	130	28	‘	'	PUNCT
cana-1060	130	29	a	a	PRON
cana-1060	130	30	’	'	PUNCT
cana-1060	130	31	for	for	ADP
cana-1060	130	32	the	the	DET
cana-1060	130	33	scaling	scale	VERB
cana-1060	130	34	parameter	parameter	NOUN
cana-1060	130	35	and	and	CCONJ
cana-1060	130	36	‘	'	PUNCT
cana-1060	130	37	b	b	NOUN
cana-1060	130	38	’	'	PUNCT
cana-1060	130	39	for	for	ADP
cana-1060	130	40	the	the	DET
cana-1060	130	41	price	price	NOUN
cana-1060	130	42	sensitivity	sensitivity	NOUN
cana-1060	130	43	parameter	parameter	NOUN
cana-1060	130	44	and	and	CCONJ
cana-1060	130	45	a	a	DET
cana-1060	130	46	−	−	PROPN
cana-1060	130	47	bp	bp	PROPN
cana-1060	130	48	>	>	X
cana-1060	130	49	0	0	NUM
cana-1060	130	50	.	.	NOUN
cana-1060	131	1	3	3	X
cana-1060	131	2	.	.	X
cana-1060	131	3	backorder	backorder	NOUN
cana-1060	131	4	has	have	AUX
cana-1060	131	5	been	be	AUX
cana-1060	131	6	used	use	VERB
cana-1060	131	7	in	in	ADP
cana-1060	131	8	this	this	DET
cana-1060	131	9	investigation	investigation	NOUN
cana-1060	131	10	.	.	PUNCT
cana-1060	132	1	given	give	VERB
cana-1060	132	2	that	that	SCONJ
cana-1060	132	3	some	some	DET
cana-1060	132	4	demand	demand	NOUN
cana-1060	132	5	is	be	AUX
cana-1060	132	6	backordered	backordere	VERB
cana-1060	132	7	and	and	CCONJ
cana-1060	132	8	this	this	DET
cana-1060	132	9	backorder	backorder	NOUN
cana-1060	132	10	rate	rate	NOUN
cana-1060	132	11	is	be	AUX
cana-1060	132	12	predicated	predicate	VERB
cana-1060	132	13	on	on	ADP
cana-1060	132	14	waiting	waiting	NOUN
cana-1060	132	15	time	time	NOUN
cana-1060	132	16	,	,	PUNCT
cana-1060	132	17	it	it	PRON
cana-1060	132	18	is	be	AUX
cana-1060	132	19	naturally	naturally	ADV
cana-1060	132	20	declining	decline	VERB
cana-1060	132	21	.	.	PUNCT
cana-1060	133	1	the	the	DET
cana-1060	133	2	fraction	fraction	NOUN
cana-1060	133	3	is	be	AUX
cana-1060	133	4	(	(	PUNCT
cana-1060	133	5	)	)	PUNCT
cana-1060	133	6	1	1	NUM
cana-1060	133	7	(	(	PUNCT
cana-1060	133	8	)	)	PUNCT
cana-1060	133	9	1	1	NUM
cana-1060	133	10	b	b	NOUN
cana-1060	133	11	t	t	PROPN
cana-1060	133	12	t	t	NOUN
cana-1060	133	13	t	t	NOUN
cana-1060	134	1	t	t	NOUN
cana-1060	134	2	−	−	PROPN
cana-1060	135	1	=	=	PUNCT
cana-1060	136	1	+	+	NUM
cana-1060	136	2	−	−	NOUN
cana-1060	136	3	,	,	PUNCT
cana-1060	136	4	t−	t−	PROPN
cana-1060	136	5	t	t	PROPN
cana-1060	136	6	representing	represent	VERB
cana-1060	136	7	the	the	DET
cana-1060	136	8	waiting	waiting	NOUN
cana-1060	136	9	time	time	NOUN
cana-1060	136	10	until	until	SCONJ
cana-1060	136	11	the	the	DET
cana-1060	136	12	next	next	ADJ
cana-1060	136	13	replenishing	replenish	VERB
cana-1060	136	14	point	point	NOUN
cana-1060	136	15	is	be	AUX
cana-1060	136	16	reached	reach	VERB
cana-1060	136	17	and	and	CCONJ
cana-1060	136	18			NUM
cana-1060	136	19	is	be	AUX
cana-1060	136	20	a	a	DET
cana-1060	136	21	backlogging	backlogge	VERB
cana-1060	136	22	parameter	parameter	NOUN
cana-1060	136	23	,	,	PUNCT
cana-1060	136	24			PROPN
cana-1060	136	25	>	>	X
cana-1060	136	26	0	0	NUM
cana-1060	136	27	.	.	NOUN
cana-1060	136	28	4	4	NUM
cana-1060	136	29	.	.	X
cana-1060	137	1	the	the	DET
cana-1060	137	2	holding	hold	VERB
cana-1060	137	3	cost	cost	NOUN
cana-1060	137	4	function	function	NOUN
cana-1060	137	5	can	can	AUX
cana-1060	137	6	be	be	AUX
cana-1060	137	7	expressed	express	VERB
cana-1060	137	8	as	as	ADP
cana-1060	137	9	:	:	PUNCT
cana-1060	137	10	h(t	h(t	X
cana-1060	137	11	)	)	PUNCT
cana-1060	138	1	=	=	SYM
cana-1060	138	2	g	g	PROPN
cana-1060	139	1	+	+	CCONJ
cana-1060	139	2	ht	ht	PROPN
cana-1060	139	3	,	,	PUNCT
cana-1060	139	4	‘	'	PUNCT
cana-1060	139	5	g	g	NOUN
cana-1060	139	6	’	'	PUNCT
cana-1060	139	7	is	be	AUX
cana-1060	139	8	the	the	DET
cana-1060	139	9	constant	constant	ADJ
cana-1060	139	10	part	part	NOUN
cana-1060	139	11	of	of	ADP
cana-1060	139	12	the	the	DET
cana-1060	139	13	holding	hold	VERB
cana-1060	139	14	cost	cost	NOUN
cana-1060	139	15	,	,	PUNCT
cana-1060	139	16	‘	'	PUNCT
cana-1060	139	17	h	h	X
cana-1060	139	18	’	'	PUNCT
cana-1060	139	19	is	be	AUX
cana-1060	139	20	the	the	DET
cana-1060	139	21	rate	rate	NOUN
cana-1060	139	22	at	at	ADP
cana-1060	139	23	which	which	PRON
cana-1060	139	24	the	the	DET
cana-1060	139	25	holding	hold	VERB
cana-1060	139	26	cost	cost	NOUN
cana-1060	139	27	increases	increase	NOUN
cana-1060	139	28	per	per	ADP
cana-1060	139	29	unit	unit	NOUN
cana-1060	139	30	time	time	NOUN
cana-1060	139	31	of	of	ADP
cana-1060	139	32	storage	storage	NOUN
cana-1060	139	33	duration	duration	NOUN
cana-1060	139	34	t.	t.	NOUN
cana-1060	139	35	5	5	NUM
cana-1060	139	36	.	.	PUNCT
cana-1060	140	1	the	the	DET
cana-1060	140	2	product	product	NOUN
cana-1060	140	3	is	be	AUX
cana-1060	140	4	without	without	ADP
cana-1060	140	5	deterioration	deterioration	NOUN
cana-1060	140	6	between	between	ADP
cana-1060	140	7	[	[	X
cana-1060	140	8	0	0	NUM
cana-1060	140	9	,	,	PUNCT
cana-1060	140	10	td	td	NOUN
cana-1060	140	11	]	]	X
cana-1060	140	12	;	;	PUNCT
cana-1060	140	13	deterioration	deterioration	NOUN
cana-1060	140	14	occurs	occur	VERB
cana-1060	140	15	at	at	ADP
cana-1060	140	16	a	a	DET
cana-1060	140	17	variable	variable	ADJ
cana-1060	140	18	rate	rate	NOUN
cana-1060	140	19	θ(t	θ(t	PROPN
cana-1060	140	20	)	)	PUNCT
cana-1060	140	21	within	within	ADP
cana-1060	140	22	the	the	DET
cana-1060	140	23	interval	interval	NOUN
cana-1060	141	1	[	[	X
cana-1060	141	2	td	td	NOUN
cana-1060	141	3	,	,	PUNCT
cana-1060	141	4	t1	t1	NOUN
cana-1060	141	5	]	]	X
cana-1060	141	6	.	.	PUNCT
cana-1060	142	1	6	6	NUM
cana-1060	142	2	.	.	X
cana-1060	142	3	there	there	PRON
cana-1060	142	4	is	be	VERB
cana-1060	142	5	no	no	DET
cana-1060	142	6	lead	lead	ADJ
cana-1060	142	7	-	-	PUNCT
cana-1060	142	8	time	time	NOUN
cana-1060	142	9	and	and	CCONJ
cana-1060	142	10	hence	hence	ADV
cana-1060	142	11	an	an	DET
cana-1060	142	12	endless	endless	ADJ
cana-1060	142	13	replenishing	replenish	VERB
cana-1060	142	14	rate	rate	NOUN
cana-1060	142	15	.	.	PUNCT
cana-1060	143	1	communications	communication	NOUN
cana-1060	143	2	on	on	ADP
cana-1060	143	3	applied	apply	VERB
cana-1060	143	4	nonlinear	nonlinear	ADJ
cana-1060	143	5	analysis	analysis	NOUN
cana-1060	143	6	issn	issn	NOUN
cana-1060	143	7	:	:	PUNCT
cana-1060	143	8	1074	1074	NUM
cana-1060	143	9	-	-	PUNCT
cana-1060	143	10	133x	133x	NUM
cana-1060	143	11	vol	vol	NOUN
cana-1060	143	12	31	31	NUM
cana-1060	143	13	no	no	NOUN
cana-1060	143	14	.	.	PUNCT
cana-1060	144	1	5s	5s	NUM
cana-1060	144	2	(	(	PUNCT
cana-1060	144	3	2024	2024	NUM
cana-1060	144	4	)	)	PUNCT
cana-1060	144	5	417	417	NUM
cana-1060	144	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	144	7	7	7	X
cana-1060	144	8	.	.	PUNCT
cana-1060	144	9	backlogged	backlogge	VERB
cana-1060	144	10	demand	demand	NOUN
cana-1060	144	11	is	be	AUX
cana-1060	144	12	immediately	immediately	ADV
cana-1060	144	13	satisfied	satisfied	ADJ
cana-1060	144	14	from	from	ADP
cana-1060	144	15	inventory	inventory	NOUN
cana-1060	144	16	ordered	order	VERB
cana-1060	144	17	in	in	ADP
cana-1060	144	18	the	the	DET
cana-1060	144	19	previous	previous	ADJ
cana-1060	144	20	cycle	cycle	NOUN
cana-1060	144	21	at	at	ADP
cana-1060	144	22	the	the	DET
cana-1060	144	23	start	start	NOUN
cana-1060	144	24	of	of	ADP
cana-1060	144	25	the	the	DET
cana-1060	144	26	subsequent	subsequent	ADJ
cana-1060	144	27	cycle	cycle	NOUN
cana-1060	144	28	.	.	PUNCT
cana-1060	145	1	8	8	NUM
cana-1060	145	2	.	.	NUM
cana-1060	145	3	damaged	damage	VERB
cana-1060	145	4	products	product	NOUN
cana-1060	145	5	are	be	AUX
cana-1060	145	6	immediately	immediately	ADV
cana-1060	145	7	replaced	replace	VERB
cana-1060	145	8	,	,	PUNCT
cana-1060	145	9	repaired	repair	VERB
cana-1060	145	10	,	,	PUNCT
cana-1060	145	11	or	or	CCONJ
cana-1060	145	12	removed	remove	VERB
cana-1060	145	13	from	from	ADP
cana-1060	145	14	stock	stock	NOUN
cana-1060	145	15	.	.	PUNCT
cana-1060	146	1	9	9	X
cana-1060	146	2	.	.	X
cana-1060	146	3	during	during	ADP
cana-1060	146	4	the	the	DET
cana-1060	146	5	lead	lead	ADJ
cana-1060	146	6	period	period	NOUN
cana-1060	146	7	,	,	PUNCT
cana-1060	146	8	the	the	DET
cana-1060	146	9	supplier	supplier	NOUN
cana-1060	146	10	returns	return	VERB
cana-1060	146	11	the	the	DET
cana-1060	146	12	total	total	ADJ
cana-1060	146	13	purchase	purchase	NOUN
cana-1060	146	14	cost	cost	NOUN
cana-1060	146	15	as	as	ADP
cana-1060	146	16	a	a	DET
cana-1060	146	17	portion	portion	NOUN
cana-1060	146	18	l	l	NOUN
cana-1060	146	19	and	and	CCONJ
cana-1060	146	20	collects	collect	VERB
cana-1060	146	21	the	the	DET
cana-1060	146	22	remaining	remain	VERB
cana-1060	146	23	purchasing	purchasing	NOUN
cana-1060	146	24	cost	cost	NOUN
cana-1060	146	25	upon	upon	SCONJ
cana-1060	146	26	batch	batch	NOUN
cana-1060	146	27	delivery	delivery	NOUN
cana-1060	146	28	.	.	PUNCT
cana-1060	147	1	10	10	NUM
cana-1060	147	2	.	.	PUNCT
cana-1060	148	1	the	the	DET
cana-1060	148	2	retailer	retailer	NOUN
cana-1060	148	3	secures	secure	VERB
cana-1060	148	4	a	a	DET
cana-1060	148	5	loan	loan	NOUN
cana-1060	148	6	from	from	ADP
cana-1060	148	7	a	a	DET
cana-1060	148	8	third	third	ADJ
cana-1060	148	9	party	party	NOUN
cana-1060	148	10	to	to	PART
cana-1060	148	11	cover	cover	VERB
cana-1060	148	12	prepayments	prepayment	NOUN
cana-1060	148	13	,	,	PUNCT
cana-1060	148	14	repaying	repay	VERB
cana-1060	148	15	it	it	PRON
cana-1060	148	16	with	with	ADP
cana-1060	148	17	principal	principal	NOUN
cana-1060	148	18	and	and	CCONJ
cana-1060	148	19	interest	interest	NOUN
cana-1060	148	20	upon	upon	SCONJ
cana-1060	148	21	receiving	receive	VERB
cana-1060	148	22	consumer	consumer	NOUN
cana-1060	148	23	payment	payment	NOUN
cana-1060	148	24	.	.	PUNCT
cana-1060	149	1	11	11	NUM
cana-1060	149	2	.	.	X
cana-1060	150	1	n	n	PRON
cana-1060	150	2	equal	equal	ADJ
cana-1060	150	3	instalments	instalment	NOUN
cana-1060	150	4	the	the	DET
cana-1060	150	5	retailers	retailer	NOUN
cana-1060	150	6	can	can	AUX
cana-1060	150	7	pay	pay	VERB
cana-1060	150	8	a	a	DET
cana-1060	150	9	portion	portion	NOUN
cana-1060	150	10	σcq	σcq	NOUN
cana-1060	150	11	of	of	ADP
cana-1060	150	12	the	the	DET
cana-1060	150	13	purchase	purchase	NOUN
cana-1060	150	14	price	price	NOUN
cana-1060	150	15	over	over	ADP
cana-1060	150	16	l	l	NOUN
cana-1060	150	17	months	month	NOUN
cana-1060	150	18	before	before	ADP
cana-1060	150	19	delivery	delivery	NOUN
cana-1060	150	20	,	,	PUNCT
cana-1060	150	21	receiving	receive	VERB
cana-1060	150	22	a	a	DET
cana-1060	150	23	discount	discount	NOUN
cana-1060	150	24	from	from	ADP
cana-1060	150	25	the	the	DET
cana-1060	150	26	supplier	supplier	NOUN
cana-1060	150	27	.	.	PUNCT
cana-1060	151	1	shorter	short	ADJ
cana-1060	151	2	installment	installment	NOUN
cana-1060	151	3	terms	term	NOUN
cana-1060	151	4	result	result	VERB
cana-1060	151	5	in	in	ADP
cana-1060	151	6	higher	high	ADJ
cana-1060	151	7	discount	discount	NOUN
cana-1060	151	8	rates	rate	NOUN
cana-1060	151	9	(	(	PUNCT
cana-1060	151	10	α	α	NOUN
cana-1060	151	11	)	)	PUNCT
cana-1060	151	12	,	,	PUNCT
cana-1060	151	13	with	with	ADP
cana-1060	151	14	a	a	DET
cana-1060	151	15	maximum	maximum	ADJ
cana-1060	151	16	discount	discount	NOUN
cana-1060	151	17	of	of	ADP
cana-1060	151	18	j%	j%	PROPN
cana-1060	151	19	for	for	ADP
cana-1060	151	20	full	full	ADJ
cana-1060	151	21	upfront	upfront	ADJ
cana-1060	151	22	payment	payment	NOUN
cana-1060	151	23	.	.	PUNCT
cana-1060	152	1	12	12	NUM
cana-1060	152	2	.	.	PUNCT
cana-1060	153	1	planning	plan	VERB
cana-1060	153	2	horizon	horizon	PROPN
cana-1060	153	3	infinite	infinite	ADJ
cana-1060	153	4	.	.	PUNCT
cana-1060	154	1	4	4	NUM
cana-1060	154	2	mathematical	mathematical	ADJ
cana-1060	154	3	formulation	formulation	NOUN
cana-1060	154	4	this	this	DET
cana-1060	154	5	research	research	NOUN
cana-1060	154	6	presents	present	VERB
cana-1060	154	7	a	a	DET
cana-1060	154	8	mathematical	mathematical	ADJ
cana-1060	154	9	model	model	NOUN
cana-1060	154	10	that	that	PRON
cana-1060	154	11	integrates	integrate	VERB
cana-1060	154	12	inventory	inventory	NOUN
cana-1060	154	13	management	management	NOUN
cana-1060	154	14	with	with	ADP
cana-1060	154	15	payment	payment	NOUN
cana-1060	154	16	strategies	strategy	NOUN
cana-1060	154	17	within	within	ADP
cana-1060	154	18	a	a	DET
cana-1060	154	19	supply	supply	NOUN
cana-1060	154	20	chain	chain	NOUN
cana-1060	154	21	framework	framework	NOUN
cana-1060	154	22	and	and	CCONJ
cana-1060	154	23	focuses	focus	VERB
cana-1060	154	24	on	on	ADP
cana-1060	154	25	hybrid	hybrid	ADJ
cana-1060	154	26	prepayment	prepayment	NOUN
cana-1060	154	27	and	and	CCONJ
cana-1060	154	28	trade	trade	NOUN
cana-1060	154	29	-	-	PUNCT
cana-1060	154	30	credit	credit	NOUN
cana-1060	154	31	policies	policy	NOUN
cana-1060	154	32	,	,	PUNCT
cana-1060	154	33	considering	consider	VERB
cana-1060	154	34	factors	factor	NOUN
cana-1060	154	35	like	like	ADP
cana-1060	154	36	shortages	shortage	NOUN
cana-1060	154	37	and	and	CCONJ
cana-1060	154	38	gradual	gradual	ADJ
cana-1060	154	39	product	product	NOUN
cana-1060	154	40	deterioration	deterioration	NOUN
cana-1060	154	41	.	.	PUNCT
cana-1060	155	1	specifically	specifically	ADV
cana-1060	155	2	,	,	PUNCT
cana-1060	155	3	the	the	DET
cana-1060	155	4	retailer	retailer	NOUN
cana-1060	155	5	pays	pay	VERB
cana-1060	155	6	a	a	DET
cana-1060	155	7	portion	portion	NOUN
cana-1060	155	8	(	(	PUNCT
cana-1060	155	9	σ	σ	NOUN
cana-1060	155	10	)	)	PUNCT
cana-1060	155	11	of	of	ADP
cana-1060	155	12	the	the	DET
cana-1060	155	13	purchase	purchase	NOUN
cana-1060	155	14	price	price	NOUN
cana-1060	155	15	in	in	ADP
cana-1060	155	16	n	n	CCONJ
cana-1060	155	17	equal	equal	ADJ
cana-1060	155	18	installments	installment	NOUN
cana-1060	155	19	within	within	ADP
cana-1060	155	20	a	a	DET
cana-1060	155	21	specified	specify	VERB
cana-1060	155	22	delivery	delivery	NOUN
cana-1060	155	23	lead	lead	NOUN
cana-1060	155	24	time	time	NOUN
cana-1060	155	25	(	(	PUNCT
cana-1060	155	26	l	l	NOUN
cana-1060	155	27	)	)	PUNCT
cana-1060	155	28	.	.	PUNCT
cana-1060	156	1	the	the	DET
cana-1060	156	2	purchase	purchase	NOUN
cana-1060	156	3	price	price	NOUN
cana-1060	156	4	's	's	PART
cana-1060	156	5	remaining	remain	VERB
cana-1060	156	6	portion	portion	NOUN
cana-1060	156	7	(	(	PUNCT
cana-1060	156	8	1−σ	1−σ	NUM
cana-1060	156	9	)	)	PUNCT
cana-1060	156	10	is	be	AUX
cana-1060	156	11	settled	settle	VERB
cana-1060	156	12	upon	upon	SCONJ
cana-1060	156	13	order	order	NOUN
cana-1060	156	14	receipt	receipt	NOUN
cana-1060	156	15	(	(	PUNCT
cana-1060	156	16	t	t	NOUN
cana-1060	156	17	=	=	SYM
cana-1060	156	18	0	0	NUM
cana-1060	156	19	)	)	PUNCT
cana-1060	156	20	.	.	PUNCT
cana-1060	157	1	additional	additional	ADJ
cana-1060	157	2	discounts	discount	NOUN
cana-1060	157	3	or	or	CCONJ
cana-1060	157	4	rebates	rebate	NOUN
cana-1060	157	5	(	(	PUNCT
cana-1060	157	6	j	j	NOUN
cana-1060	157	7	%	%	NOUN
cana-1060	157	8	)	)	PUNCT
cana-1060	157	9	to	to	PART
cana-1060	157	10	encourage	encourage	VERB
cana-1060	157	11	the	the	DET
cana-1060	157	12	retailer	retailer	NOUN
cana-1060	157	13	's	's	PART
cana-1060	157	14	prepayment	prepayment	NOUN
cana-1060	157	15	offers	offer	NOUN
cana-1060	157	16	to	to	ADP
cana-1060	157	17	the	the	DET
cana-1060	157	18	supplier	supplier	NOUN
cana-1060	157	19	,	,	PUNCT
cana-1060	157	20	particularly	particularly	ADV
cana-1060	157	21	in	in	ADP
cana-1060	157	22	challenging	challenge	VERB
cana-1060	157	23	circumstances	circumstance	NOUN
cana-1060	157	24	such	such	ADJ
cana-1060	157	25	as	as	ADP
cana-1060	157	26	during	during	ADP
cana-1060	157	27	a	a	DET
cana-1060	157	28	pandemic	pandemic	NOUN
cana-1060	157	29	.	.	PUNCT
cana-1060	158	1	the	the	DET
cana-1060	158	2	supplier	supplier	NOUN
cana-1060	158	3	delivers	deliver	VERB
cana-1060	158	4	goods	good	NOUN
cana-1060	158	5	to	to	ADP
cana-1060	158	6	the	the	DET
cana-1060	158	7	retailer	retailer	NOUN
cana-1060	158	8	based	base	VERB
cana-1060	158	9	on	on	ADP
cana-1060	158	10	a	a	DET
cana-1060	158	11	predetermined	predetermine	VERB
cana-1060	158	12	payment	payment	NOUN
cana-1060	158	13	schedule	schedule	NOUN
cana-1060	158	14	in	in	ADP
cana-1060	158	15	the	the	DET
cana-1060	158	16	supply	supply	NOUN
cana-1060	158	17	chain	chain	NOUN
cana-1060	158	18	management	management	NOUN
cana-1060	158	19	.	.	PUNCT
cana-1060	159	1	also	also	ADV
cana-1060	159	2	,	,	PUNCT
cana-1060	159	3	the	the	DET
cana-1060	159	4	retailer	retailer	NOUN
cana-1060	159	5	determines	determine	VERB
cana-1060	159	6	replenishment	replenishment	NOUN
cana-1060	159	7	cycles	cycle	NOUN
cana-1060	159	8	and	and	CCONJ
cana-1060	159	9	pricing	pricing	NOUN
cana-1060	159	10	strategies	strategy	NOUN
cana-1060	159	11	by	by	ADP
cana-1060	159	12	considering	consider	VERB
cana-1060	159	13	the	the	DET
cana-1060	159	14	payment	payment	NOUN
cana-1060	159	15	terms	term	NOUN
cana-1060	159	16	and	and	CCONJ
cana-1060	159	17	market	market	NOUN
cana-1060	159	18	conditions	condition	NOUN
cana-1060	159	19	.	.	PUNCT
cana-1060	160	1	ultimately	ultimately	ADV
cana-1060	160	2	,	,	PUNCT
cana-1060	160	3	clients	client	NOUN
cana-1060	160	4	receive	receive	VERB
cana-1060	160	5	retail	retail	ADJ
cana-1060	160	6	products	product	NOUN
cana-1060	160	7	as	as	ADP
cana-1060	160	8	part	part	NOUN
cana-1060	160	9	of	of	ADP
cana-1060	160	10	this	this	DET
cana-1060	160	11	supply	supply	NOUN
cana-1060	160	12	chain	chain	NOUN
cana-1060	160	13	ecosystem	ecosystem	NOUN
cana-1060	160	14	.	.	PUNCT
cana-1060	161	1	figure	figure	NOUN
cana-1060	161	2	1	1	NUM
cana-1060	161	3	.	.	PUNCT
cana-1060	161	4	graphical	graphical	ADJ
cana-1060	161	5	representation	representation	NOUN
cana-1060	161	6	of	of	ADP
cana-1060	161	7	the	the	DET
cana-1060	161	8	inventory	inventory	NOUN
cana-1060	161	9	system	system	NOUN
cana-1060	161	10	the	the	DET
cana-1060	161	11	model	model	NOUN
cana-1060	161	12	integrates	integrate	VERB
cana-1060	161	13	an	an	DET
cana-1060	161	14	economic	economic	ADJ
cana-1060	161	15	order	order	NOUN
cana-1060	161	16	quantity	quantity	NOUN
cana-1060	161	17	(	(	PUNCT
cana-1060	161	18	eoq	eoq	NOUN
cana-1060	161	19	)	)	PUNCT
cana-1060	161	20	framework	framework	NOUN
cana-1060	161	21	to	to	PART
cana-1060	161	22	optimize	optimize	VERB
cana-1060	161	23	order	order	NOUN
cana-1060	161	24	quantities	quantity	NOUN
cana-1060	161	25	and	and	CCONJ
cana-1060	161	26	maximize	maximize	VERB
cana-1060	161	27	the	the	DET
cana-1060	161	28	total	total	ADJ
cana-1060	161	29	profit	profit	NOUN
cana-1060	161	30	of	of	ADP
cana-1060	161	31	the	the	DET
cana-1060	161	32	inventory	inventory	NOUN
cana-1060	161	33	system	system	NOUN
cana-1060	161	34	.	.	PUNCT
cana-1060	162	1	the	the	DET
cana-1060	162	2	inventory	inventory	NOUN
cana-1060	162	3	level	level	NOUN
cana-1060	162	4	i(t	i(t	NOUN
cana-1060	162	5	)	)	PUNCT
cana-1060	162	6	is	be	AUX
cana-1060	162	7	influenced	influence	VERB
cana-1060	162	8	by	by	ADP
cana-1060	162	9	demand	demand	NOUN
cana-1060	162	10	and	and	CCONJ
cana-1060	162	11	deterioration	deterioration	NOUN
cana-1060	162	12	,	,	PUNCT
cana-1060	162	13	following	follow	VERB
cana-1060	162	14	a	a	DET
cana-1060	162	15	declining	decline	VERB
cana-1060	162	16	pattern	pattern	NOUN
cana-1060	162	17	over	over	ADP
cana-1060	162	18	time	time	NOUN
cana-1060	162	19	.	.	PUNCT
cana-1060	163	1	specifically	specifically	ADV
cana-1060	163	2	,	,	PUNCT
cana-1060	163	3	the	the	DET
cana-1060	163	4	stock	stock	NOUN
cana-1060	163	5	of	of	ADP
cana-1060	163	6	this	this	DET
cana-1060	163	7	model	model	NOUN
cana-1060	163	8	decreases	decrease	NOUN
cana-1060	163	9	based	base	VERB
cana-1060	163	10	on	on	ADP
cana-1060	163	11	the	the	DET
cana-1060	163	12	demand	demand	NOUN
cana-1060	163	13	rate	rate	NOUN
cana-1060	163	14	from	from	ADP
cana-1060	163	15	0	0	NUM
cana-1060	163	16	to	to	PART
cana-1060	163	17	td	td	PROPN
cana-1060	163	18	.	.	PUNCT
cana-1060	164	1	at	at	ADP
cana-1060	164	2	t	t	PROPN
cana-1060	164	3	=	=	SYM
cana-1060	164	4	t1	t1	PROPN
cana-1060	164	5	,	,	PUNCT
cana-1060	164	6	continuous	continuous	ADJ
cana-1060	164	7	demand	demand	NOUN
cana-1060	164	8	depletes	deplete	VERB
cana-1060	164	9	the	the	DET
cana-1060	164	10	inventory	inventory	NOUN
cana-1060	164	11	to	to	ADP
cana-1060	164	12	zero	zero	NUM
cana-1060	164	13	.	.	PUNCT
cana-1060	165	1	subsequently	subsequently	ADV
cana-1060	165	2	,	,	PUNCT
cana-1060	165	3	the	the	DET
cana-1060	165	4	supply	supply	NOUN
cana-1060	165	5	experiences	experience	VERB
cana-1060	165	6	partial	partial	ADJ
cana-1060	165	7	backlogging	backlogging	NOUN
cana-1060	165	8	due	due	ADP
cana-1060	165	9	to	to	ADP
cana-1060	165	10	shortages	shortage	NOUN
cana-1060	165	11	between	between	ADP
cana-1060	165	12	t1	t1	NOUN
cana-1060	165	13	and	and	CCONJ
cana-1060	165	14	t.	t.	NOUN
cana-1060	165	15	communications	communication	NOUN
cana-1060	165	16	on	on	ADP
cana-1060	165	17	applied	apply	VERB
cana-1060	165	18	nonlinear	nonlinear	ADJ
cana-1060	165	19	analysis	analysis	NOUN
cana-1060	165	20	issn	issn	NOUN
cana-1060	165	21	:	:	PUNCT
cana-1060	165	22	1074	1074	NUM
cana-1060	165	23	-	-	PUNCT
cana-1060	165	24	133x	133x	NUM
cana-1060	165	25	vol	vol	NOUN
cana-1060	165	26	31	31	NUM
cana-1060	165	27	no	no	NOUN
cana-1060	165	28	.	.	PUNCT
cana-1060	166	1	5s	5s	NUM
cana-1060	166	2	(	(	PUNCT
cana-1060	166	3	2024	2024	NUM
cana-1060	166	4	)	)	PUNCT
cana-1060	166	5	418	418	NUM
cana-1060	166	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	166	7	differential	differential	ADJ
cana-1060	166	8	equations	equation	NOUN
cana-1060	166	9	of	of	ADP
cana-1060	166	10	the	the	DET
cana-1060	166	11	inventory	inventory	NOUN
cana-1060	166	12	system	system	NOUN
cana-1060	166	13	can	can	AUX
cana-1060	166	14	be	be	AUX
cana-1060	166	15	described	describe	VERB
cana-1060	166	16	as	as	ADP
cana-1060	166	17	(	(	PUNCT
cana-1060	166	18	)	)	PUNCT
cana-1060	166	19	(	(	PUNCT
cana-1060	166	20	)	)	PUNCT
cana-1060	166	21	1	1	NUM
cana-1060	166	22	d	d	NOUN
cana-1060	166	23	,	,	PUNCT
cana-1060	166	24	0	0	NUM
cana-1060	166	25	t	t	PROPN
cana-1060	166	26	t	t	X
cana-1060	166	27	di	di	PROPN
cana-1060	166	28	t	t	PROPN
cana-1060	166	29	a	a	PRON
cana-1060	166	30	a	a	DET
cana-1060	166	31	bp	bp	NOUN
cana-1060	166	32	dt	dt	NOUN
cana-1060	167	1	=	=	NOUN
cana-1060	167	2	−	−	NOUN
cana-1060	167	3	−	−	PROPN
cana-1060	167	4			NUM
cana-1060	167	5			NOUN
cana-1060	167	6	(	(	PUNCT
cana-1060	167	7	1	1	NUM
cana-1060	167	8	)	)	PUNCT
cana-1060	167	9	with	with	ADP
cana-1060	167	10	i1(0	i1(0	PROPN
cana-1060	167	11	)	)	PUNCT
cana-1060	167	12	=	=	SYM
cana-1060	167	13	imax	imax	NOUN
cana-1060	167	14	.	.	PUNCT
cana-1060	168	1	after	after	ADP
cana-1060	168	2	solving	solve	VERB
cana-1060	168	3	(	(	PUNCT
cana-1060	168	4	1	1	NUM
cana-1060	168	5	)	)	PUNCT
cana-1060	168	6	,	,	PUNCT
cana-1060	168	7	the	the	DET
cana-1060	168	8	inventory	inventory	NOUN
cana-1060	168	9	level	level	NOUN
cana-1060	168	10	i1(t	i1(t	PART
cana-1060	168	11	)	)	PUNCT
cana-1060	168	12	is	be	AUX
cana-1060	168	13	obtained	obtain	VERB
cana-1060	168	14	as	as	ADP
cana-1060	168	15	(	(	PUNCT
cana-1060	168	16	)	)	PUNCT
cana-1060	168	17	(	(	PUNCT
cana-1060	168	18	)	)	SYM
cana-1060	168	19	1	1	NUM
cana-1060	168	20	maxi	maxi	NOUN
cana-1060	168	21	t	t	NOUN
cana-1060	168	22	i	i	PRON
cana-1060	168	23	a	a	PRON
cana-1060	168	24	a	a	DET
cana-1060	168	25	bp	bp	NOUN
cana-1060	168	26	t=	t=	NOUN
cana-1060	168	27	−	−	PROPN
cana-1060	168	28	−	−	PROPN
cana-1060	168	29	(	(	PUNCT
cana-1060	168	30	2	2	NUM
cana-1060	168	31	)	)	PUNCT
cana-1060	168	32	during	during	ADP
cana-1060	168	33	the	the	DET
cana-1060	168	34	period	period	NOUN
cana-1060	169	1	[	[	X
cana-1060	169	2	td	td	NOUN
cana-1060	169	3	,	,	PUNCT
cana-1060	169	4	t1	t1	NOUN
cana-1060	169	5	]	]	X
cana-1060	169	6	,	,	PUNCT
cana-1060	169	7	the	the	DET
cana-1060	169	8	inventory	inventory	NOUN
cana-1060	169	9	level	level	NOUN
cana-1060	169	10	drops	drop	VERB
cana-1060	169	11	due	due	ADJ
cana-1060	169	12	to	to	ADP
cana-1060	169	13	inventory	inventory	NOUN
cana-1060	169	14	-	-	PUNCT
cana-1060	169	15	reliance	reliance	NOUN
cana-1060	169	16	demand	demand	NOUN
cana-1060	169	17	and	and	CCONJ
cana-1060	169	18	degradation	degradation	NOUN
cana-1060	169	19	.	.	PUNCT
cana-1060	170	1	as	as	ADP
cana-1060	170	2	a	a	DET
cana-1060	170	3	result	result	NOUN
cana-1060	170	4	,	,	PUNCT
cana-1060	170	5	the	the	DET
cana-1060	170	6	following	follow	VERB
cana-1060	170	7	differential	differential	ADJ
cana-1060	170	8	equation	equation	NOUN
cana-1060	170	9	is	be	AUX
cana-1060	170	10	used	use	VERB
cana-1060	170	11	to	to	PART
cana-1060	170	12	represent	represent	VERB
cana-1060	170	13	the	the	DET
cana-1060	170	14	inventory	inventory	NOUN
cana-1060	170	15	system	system	NOUN
cana-1060	170	16	at	at	ADP
cana-1060	170	17	any	any	DET
cana-1060	170	18	given	give	VERB
cana-1060	170	19	time	time	NOUN
cana-1060	170	20	t	t	PROPN
cana-1060	170	21	(	(	PUNCT
cana-1060	170	22	)	)	PUNCT
cana-1060	170	23	(	(	PUNCT
cana-1060	170	24	)	)	PUNCT
cana-1060	171	1	(	(	PUNCT
cana-1060	171	2	)	)	SYM
cana-1060	171	3	2	2	NUM
cana-1060	171	4	2	2	NUM
cana-1060	171	5	d	d	SYM
cana-1060	171	6	1	1	NUM
cana-1060	171	7	1	1	NUM
cana-1060	171	8	,	,	PUNCT
cana-1060	171	9	t	t	PROPN
cana-1060	171	10	t	t	PROPN
cana-1060	171	11	t	t	PROPN
cana-1060	171	12	1	1	NUM
cana-1060	171	13	di	di	PROPN
cana-1060	171	14	t	t	PROPN
cana-1060	171	15	m	m	PROPN
cana-1060	171	16	t	t	NOUN
cana-1060	172	1	i	i	PRON
cana-1060	172	2	t	t	VERB
cana-1060	172	3	a	a	DET
cana-1060	172	4	a	a	DET
cana-1060	172	5	bp	bp	PROPN
cana-1060	172	6	dt	dt	NOUN
cana-1060	173	1	m	m	PROPN
cana-1060	173	2	t	t	PROPN
cana-1060	173	3	m	m	NOUN
cana-1060	173	4			NUM
cana-1060	173	5	−	−	PUNCT
cana-1060	173	6			NOUN
cana-1060	173	7	+	+	CCONJ
cana-1060	173	8	=	=	SYM
cana-1060	173	9	−	−	PROPN
cana-1060	173	10	−	−	PROPN
cana-1060	173	11			NOUN
cana-1060	173	12			NUM
cana-1060	173	13			PROPN
cana-1060	174	1	+	+	CCONJ
cana-1060	175	1	−	−	PROPN
cana-1060	175	2			ADJ
cana-1060	175	3			NOUN
cana-1060	175	4	(	(	PUNCT
cana-1060	175	5	3	3	NUM
cana-1060	175	6	)	)	PUNCT
cana-1060	175	7	with	with	ADP
cana-1060	175	8	i2	i2	PROPN
cana-1060	175	9	(	(	PUNCT
cana-1060	175	10	t1	t1	PROPN
cana-1060	175	11	)	)	PUNCT
cana-1060	175	12	=	=	SYM
cana-1060	175	13	0	0	X
cana-1060	175	14	.	.	PUNCT
cana-1060	176	1	the	the	DET
cana-1060	176	2	inventory	inventory	NOUN
cana-1060	176	3	level	level	NOUN
cana-1060	176	4	i2(t	i2(t	PROPN
cana-1060	176	5	)	)	PUNCT
cana-1060	176	6	is	be	AUX
cana-1060	176	7	derived	derive	VERB
cana-1060	176	8	by	by	ADP
cana-1060	176	9	solving	solve	VERB
cana-1060	176	10	(	(	PUNCT
cana-1060	176	11	3	3	NUM
cana-1060	176	12	)	)	PUNCT
cana-1060	176	13	.	.	PUNCT
cana-1060	177	1	(	(	PUNCT
cana-1060	177	2	)	)	PUNCT
cana-1060	177	3	(	(	PUNCT
cana-1060	177	4	)	)	PUNCT
cana-1060	177	5	(	(	PUNCT
cana-1060	177	6	)	)	PUNCT
cana-1060	177	7	(	(	PUNCT
cana-1060	177	8	)	)	PUNCT
cana-1060	177	9	(	(	PUNCT
cana-1060	177	10	)	)	PUNCT
cana-1060	177	11	1	1	NUM
cana-1060	177	12	2	2	NUM
cana-1060	177	13	1	1	NUM
cana-1060	177	14	1	1	NUM
cana-1060	177	15	1	1	NUM
cana-1060	177	16	1	1	NUM
cana-1060	177	17	1	1	NUM
cana-1060	177	18	a	a	PRON
cana-1060	177	19	a	a	DET
cana-1060	177	20	bp	bp	PROPN
cana-1060	177	21	m	m	VERB
cana-1060	178	1	t	t	NOUN
cana-1060	179	1	i	i	PRON
cana-1060	180	1	t	t	PROPN
cana-1060	180	2	m	m	VERB
cana-1060	180	3	t	t	PROPN
cana-1060	180	4	t	t	PROPN
cana-1060	180	5	t	t	PROPN
cana-1060	180	6	m	m	PROPN
cana-1060	180	7	t	t	PROPN
cana-1060	180	8	in	in	ADP
cana-1060	180	9	m	m	PROPN
cana-1060	180	10	m	m	VERB
cana-1060	180	11	t	t	NOUN
cana-1060	180	12			NUM
cana-1060	180	13	−	−	PROPN
cana-1060	181	1	+	+	CCONJ
cana-1060	181	2	−	−	NUM
cana-1060	182	1			PROPN
cana-1060	182	2			NOUN
cana-1060	182	3	=	=	PUNCT
cana-1060	183	1	+	+	CCONJ
cana-1060	183	2	−	−	NOUN
cana-1060	183	3	−	−	PROPN
cana-1060	184	1	+	+	CCONJ
cana-1060	184	2	+	+	CCONJ
cana-1060	184	3	−	−	PROPN
cana-1060	184	4			PROPN
cana-1060	184	5			PROPN
cana-1060	184	6	+	+	PROPN
cana-1060	184	7	−	−	PROPN
cana-1060	184	8			PROPN
cana-1060	184	9			PROPN
cana-1060	184	10	(	(	PUNCT
cana-1060	184	11	4	4	X
cana-1060	184	12	)	)	PUNCT
cana-1060	184	13	considering	consider	VERB
cana-1060	184	14	the	the	DET
cana-1060	184	15	continuity	continuity	NOUN
cana-1060	184	16	of	of	ADP
cana-1060	184	17	i(t	i(t	NOUN
cana-1060	184	18	)	)	PUNCT
cana-1060	184	19	at	at	ADP
cana-1060	184	20	t	t	NOUN
cana-1060	184	21	=	=	PUNCT
cana-1060	184	22	td	td	PROPN
cana-1060	184	23	,	,	PUNCT
cana-1060	184	24	it	it	PRON
cana-1060	184	25	follows	follow	VERB
cana-1060	184	26	from	from	ADP
cana-1060	184	27	(	(	PUNCT
cana-1060	184	28	2	2	NUM
cana-1060	184	29	)	)	PUNCT
cana-1060	184	30	and	and	CCONJ
cana-1060	184	31	(	(	PUNCT
cana-1060	184	32	4	4	X
cana-1060	184	33	)	)	PUNCT
cana-1060	184	34	that	that	SCONJ
cana-1060	184	35	i1(td	i1(td	VERB
cana-1060	184	36	)	)	PUNCT
cana-1060	184	37	=	=	SYM
cana-1060	185	1	i2(td	i2(td	PROPN
cana-1060	185	2	)	)	PUNCT
cana-1060	185	3	gives	give	VERB
cana-1060	185	4	the	the	DET
cana-1060	185	5	maximum	maximum	ADJ
cana-1060	185	6	level	level	NOUN
cana-1060	185	7	of	of	ADP
cana-1060	185	8	inventory	inventory	NOUN
cana-1060	185	9	for	for	ADP
cana-1060	185	10	each	each	DET
cana-1060	185	11	cycle	cycle	NOUN
cana-1060	185	12	as	as	ADP
cana-1060	185	13	(	(	PUNCT
cana-1060	185	14	)	)	PUNCT
cana-1060	185	15	(	(	PUNCT
cana-1060	185	16	)	)	PUNCT
cana-1060	185	17	1	1	NUM
cana-1060	185	18	max	max	NOUN
cana-1060	185	19	1	1	NUM
cana-1060	185	20	1	1	NUM
cana-1060	185	21	1	1	NUM
cana-1060	185	22	1	1	NUM
cana-1060	185	23	d	d	NOUN
cana-1060	185	24	d	d	PROPN
cana-1060	186	1	d	d	NOUN
cana-1060	186	2	m	m	VERB
cana-1060	186	3	t	t	PROPN
cana-1060	186	4	m	m	PROPN
cana-1060	186	5	t	t	PROPN
cana-1060	186	6	s	s	X
cana-1060	186	7	i	i	PRON
cana-1060	186	8	a	a	DET
cana-1060	186	9	a	a	DET
cana-1060	186	10	bp	bp	PROPN
cana-1060	186	11	t	t	PROPN
cana-1060	186	12	t	t	PROPN
cana-1060	186	13	t	t	PROPN
cana-1060	186	14	in	in	ADP
cana-1060	186	15	m	m	PROPN
cana-1060	186	16	m	m	VERB
cana-1060	186	17	t	t	NOUN
cana-1060	186	18			NUM
cana-1060	187	1			PROPN
cana-1060	187	2			PROPN
cana-1060	187	3			PROPN
cana-1060	187	4	+	+	VERB
cana-1060	187	5	−	−	PROPN
cana-1060	187	6	+	+	CCONJ
cana-1060	187	7	−	−	NUM
cana-1060	187	8			NOUN
cana-1060	187	9	=	=	PUNCT
cana-1060	187	10	=	=	PUNCT
cana-1060	188	1	−	−	PROPN
cana-1060	189	1	+	+	CCONJ
cana-1060	190	1	−	−	X
cana-1060	190	2	+	+	ADJ
cana-1060	190	3			NOUN
cana-1060	190	4			NOUN
cana-1060	190	5			NOUN
cana-1060	191	1			X
cana-1060	192	1			INTJ
cana-1060	193	1	+	+	CCONJ
cana-1060	193	2	−	−	PROPN
cana-1060	193	3			NOUN
cana-1060	193	4			NOUN
cana-1060	193	5			NOUN
cana-1060	193	6			PROPN
cana-1060	193	7			PROPN
cana-1060	193	8	(	(	PUNCT
cana-1060	193	9	5	5	NUM
cana-1060	193	10	)	)	PUNCT
cana-1060	193	11	the	the	DET
cana-1060	193	12	demand	demand	NOUN
cana-1060	193	13	at	at	ADP
cana-1060	193	14	time	time	NOUN
cana-1060	193	15	t	t	PROPN
cana-1060	193	16	is	be	AUX
cana-1060	193	17	partially	partially	ADV
cana-1060	193	18	backlogged	backlogge	VERB
cana-1060	193	19	as	as	ADP
cana-1060	193	20	a	a	DET
cana-1060	193	21	fraction	fraction	NOUN
cana-1060	193	22	(	(	PUNCT
cana-1060	193	23	)	)	PUNCT
cana-1060	193	24	1	1	NUM
cana-1060	193	25	1	1	NUM
cana-1060	193	26	t	t	NOUN
cana-1060	193	27	t+	t+	NOUN
cana-1060	193	28	−	−	PROPN
cana-1060	193	29	during	during	ADP
cana-1060	193	30	the	the	DET
cana-1060	193	31	period	period	NOUN
cana-1060	194	1	[	[	X
cana-1060	194	2	t1	t1	NOUN
cana-1060	194	3	,	,	PUNCT
cana-1060	194	4	t	t	PROPN
cana-1060	194	5	]	]	PUNCT
cana-1060	194	6	.	.	PUNCT
cana-1060	195	1	as	as	ADP
cana-1060	195	2	a	a	DET
cana-1060	195	3	result	result	NOUN
cana-1060	195	4	,	,	PUNCT
cana-1060	195	5	the	the	DET
cana-1060	195	6	differential	differential	ADJ
cana-1060	195	7	equation	equation	NOUN
cana-1060	195	8	used	use	VERB
cana-1060	195	9	to	to	PART
cana-1060	195	10	represent	represent	VERB
cana-1060	195	11	the	the	DET
cana-1060	195	12	inventory	inventory	NOUN
cana-1060	195	13	system	system	NOUN
cana-1060	195	14	at	at	ADP
cana-1060	195	15	any	any	DET
cana-1060	195	16	given	give	VERB
cana-1060	195	17	time	time	NOUN
cana-1060	195	18	t	t	PROPN
cana-1060	195	19	(	(	PUNCT
cana-1060	195	20	t1	t1	PROPN
cana-1060	195	21	≤	≤	PROPN
cana-1060	195	22	t	t	PROPN
cana-1060	195	23	≤	≤	PROPN
cana-1060	195	24	t	t	PROPN
cana-1060	195	25	)	)	PUNCT
cana-1060	195	26	is	be	AUX
cana-1060	195	27	as	as	SCONJ
cana-1060	195	28	follows	follow	VERB
cana-1060	195	29	:	:	PUNCT
cana-1060	195	30	(	(	PUNCT
cana-1060	195	31	)	)	PUNCT
cana-1060	195	32	(	(	PUNCT
cana-1060	195	33	)	)	PUNCT
cana-1060	195	34	(	(	PUNCT
cana-1060	195	35	)	)	PUNCT
cana-1060	195	36	3	3	NUM
cana-1060	195	37	1	1	NUM
cana-1060	195	38	,	,	PUNCT
cana-1060	195	39	t	t	PROPN
cana-1060	195	40	t	t	PROPN
cana-1060	195	41	1	1	NUM
cana-1060	195	42	di	di	PROPN
cana-1060	195	43	t	t	PROPN
cana-1060	195	44	a	a	PRON
cana-1060	195	45	a	a	DET
cana-1060	195	46	bp	bp	PROPN
cana-1060	195	47	t	t	PROPN
cana-1060	195	48	dt	dt	PROPN
cana-1060	195	49	t	t	PROPN
cana-1060	195	50	t	t	PROPN
cana-1060	195	51			NUM
cana-1060	195	52			NUM
cana-1060	195	53	−	−	NOUN
cana-1060	195	54	=	=	SYM
cana-1060	195	55	−	−	PROPN
cana-1060	195	56			NUM
cana-1060	195	57			NOUN
cana-1060	195	58	+	+	CCONJ
cana-1060	196	1	−	−	PROPN
cana-1060	196	2	(	(	PUNCT
cana-1060	196	3	6	6	NUM
cana-1060	196	4	)	)	PUNCT
cana-1060	196	5	with	with	ADP
cana-1060	196	6	i3(t1	i3(t1	NOUN
cana-1060	196	7	)	)	PUNCT
cana-1060	196	8	=	=	SYM
cana-1060	196	9	0	0	X
cana-1060	196	10	.	.	X
cana-1060	197	1	solving	solve	VERB
cana-1060	197	2	(	(	PUNCT
cana-1060	197	3	6	6	NUM
cana-1060	197	4	)	)	PUNCT
cana-1060	197	5	,	,	PUNCT
cana-1060	197	6	yields	yield	VERB
cana-1060	197	7	the	the	DET
cana-1060	197	8	inventory	inventory	NOUN
cana-1060	197	9	level	level	NOUN
cana-1060	197	10	i3(t	i3(t	PROPN
cana-1060	197	11	)	)	PUNCT
cana-1060	197	12	as	as	ADP
cana-1060	197	13	:	:	PUNCT
cana-1060	197	14	(	(	PUNCT
cana-1060	197	15	)	)	PUNCT
cana-1060	197	16	(	(	PUNCT
cana-1060	197	17	)	)	PUNCT
cana-1060	197	18	(	(	PUNCT
cana-1060	197	19	)	)	PUNCT
cana-1060	197	20	(	(	PUNCT
cana-1060	197	21	)	)	PUNCT
cana-1060	197	22	(	(	PUNCT
cana-1060	197	23	)	)	PUNCT
cana-1060	197	24	(	(	PUNCT
cana-1060	197	25	)	)	PUNCT
cana-1060	197	26	3	3	NUM
cana-1060	197	27	11	11	NUM
cana-1060	197	28	1	1	NUM
cana-1060	197	29	a	a	DET
cana-1060	197	30	a	a	DET
cana-1060	197	31	bp	bp	NOUN
cana-1060	198	1	i	i	PRON
cana-1060	198	2	t	t	VERB
cana-1060	198	3	in	in	ADP
cana-1060	198	4	t	t	PROPN
cana-1060	198	5	t	t	PROPN
cana-1060	198	6	in	in	ADP
cana-1060	198	7	t	t	PROPN
cana-1060	198	8	t	t	NOUN
cana-1060	198	9			NUM
cana-1060	198	10			NUM
cana-1060	198	11			NUM
cana-1060	198	12			NUM
cana-1060	198	13	−	−	PROPN
cana-1060	198	14			PROPN
cana-1060	198	15	=	=	NOUN
cana-1060	198	16	+	+	CCONJ
cana-1060	198	17	−	−	PROPN
cana-1060	198	18	−	−	PROPN
cana-1060	198	19	+	+	CCONJ
cana-1060	198	20	−	−	PROPN
cana-1060	198	21			PROPN
cana-1060	198	22	(	(	PUNCT
cana-1060	198	23	7	7	X
cana-1060	198	24	)	)	PUNCT
cana-1060	198	25	the	the	DET
cana-1060	198	26	maximum	maximum	ADJ
cana-1060	198	27	amount	amount	NOUN
cana-1060	198	28	of	of	ADP
cana-1060	198	29	demand	demand	NOUN
cana-1060	198	30	backlogged	backlogge	VERB
cana-1060	198	31	during	during	ADP
cana-1060	198	32	each	each	DET
cana-1060	198	33	cycle	cycle	NOUN
cana-1060	198	34	can	can	AUX
cana-1060	198	35	be	be	AUX
cana-1060	198	36	computed	compute	VERB
cana-1060	198	37	as	as	ADP
cana-1060	198	38	(	(	PUNCT
cana-1060	198	39	)	)	PUNCT
cana-1060	198	40	(	(	PUNCT
cana-1060	198	41	)	)	PUNCT
cana-1060	198	42	(	(	PUNCT
cana-1060	198	43	)	)	PUNCT
cana-1060	198	44	(	(	PUNCT
cana-1060	198	45	)	)	PUNCT
cana-1060	198	46	3	3	NUM
cana-1060	198	47	11	11	NUM
cana-1060	198	48	a	a	PRON
cana-1060	198	49	a	a	DET
cana-1060	198	50	bp	bp	NOUN
cana-1060	198	51	r	r	NOUN
cana-1060	198	52	i	i	PRON
cana-1060	198	53	t	t	VERB
cana-1060	198	54	in	in	ADP
cana-1060	198	55	t	t	PROPN
cana-1060	198	56	t	t	NOUN
cana-1060	198	57			NUM
cana-1060	198	58			PROPN
cana-1060	198	59			NUM
cana-1060	198	60	−	−	PROPN
cana-1060	198	61			PROPN
cana-1060	198	62	=	=	NOUN
cana-1060	198	63	−	−	PROPN
cana-1060	198	64	=	=	SYM
cana-1060	199	1	+	+	NUM
cana-1060	199	2	−	−	PROPN
cana-1060	199	3			PROPN
cana-1060	199	4	(	(	PUNCT
cana-1060	199	5	8)	8)	NUM
cana-1060	199	6	as	as	ADP
cana-1060	199	7	a	a	DET
cana-1060	199	8	result	result	NOUN
cana-1060	199	9	,	,	PUNCT
cana-1060	199	10	the	the	DET
cana-1060	199	11	ordered	order	VERB
cana-1060	199	12	quantity	quantity	NOUN
cana-1060	199	13	q	q	NOUN
cana-1060	199	14	can	can	AUX
cana-1060	199	15	be	be	AUX
cana-1060	199	16	determined	determine	VERB
cana-1060	199	17	using	use	VERB
cana-1060	199	18	(	(	PUNCT
cana-1060	199	19	5	5	NUM
cana-1060	199	20	)	)	PUNCT
cana-1060	199	21	and	and	CCONJ
cana-1060	199	22	(	(	PUNCT
cana-1060	199	23	8)	8)	NUM
cana-1060	199	24	as	as	SCONJ
cana-1060	199	25	follows	follow	VERB
cana-1060	199	26	:	:	PUNCT
cana-1060	199	27	q	q	NOUN
cana-1060	199	28	=	=	SYM
cana-1060	199	29	s	s	X
cana-1060	199	30	+	+	X
cana-1060	199	31	r	r	NOUN
cana-1060	199	32	(	(	PUNCT
cana-1060	199	33	9	9	NUM
cana-1060	199	34	)	)	PUNCT
cana-1060	199	35	communications	communication	NOUN
cana-1060	199	36	on	on	ADP
cana-1060	199	37	applied	apply	VERB
cana-1060	199	38	nonlinear	nonlinear	ADJ
cana-1060	199	39	analysis	analysis	NOUN
cana-1060	199	40	issn	issn	NOUN
cana-1060	199	41	:	:	PUNCT
cana-1060	199	42	1074	1074	NUM
cana-1060	199	43	-	-	PUNCT
cana-1060	199	44	133x	133x	NUM
cana-1060	199	45	vol	vol	NOUN
cana-1060	199	46	31	31	NUM
cana-1060	199	47	no	no	NOUN
cana-1060	199	48	.	.	PUNCT
cana-1060	200	1	5s	5s	NUM
cana-1060	200	2	(	(	PUNCT
cana-1060	200	3	2024	2024	NUM
cana-1060	200	4	)	)	PUNCT
cana-1060	200	5	419	419	NUM
cana-1060	200	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	200	7	the	the	DET
cana-1060	200	8	system	system	NOUN
cana-1060	200	9	consists	consist	VERB
cana-1060	200	10	of	of	ADP
cana-1060	200	11	the	the	DET
cana-1060	200	12	following	follow	VERB
cana-1060	200	13	relevant	relevant	ADJ
cana-1060	200	14	costs	cost	NOUN
cana-1060	200	15	:	:	PUNCT
cana-1060	200	16	1	1	X
cana-1060	200	17	.	.	X
cana-1060	200	18	ordering	ordering	NOUN
cana-1060	200	19	costs	cost	NOUN
cana-1060	200	20	are	be	AUX
cana-1060	200	21	the	the	DET
cana-1060	200	22	fixed	fix	VERB
cana-1060	200	23	expenses	expense	NOUN
cana-1060	200	24	associated	associate	VERB
cana-1060	200	25	with	with	ADP
cana-1060	200	26	each	each	DET
cana-1060	200	27	retailer	retailer	NOUN
cana-1060	200	28	's	's	PART
cana-1060	200	29	purchase	purchase	NOUN
cana-1060	200	30	order	order	NOUN
cana-1060	200	31	to	to	PART
cana-1060	200	32	replenish	replenish	VERB
cana-1060	200	33	inventory	inventory	NOUN
cana-1060	200	34	.	.	PUNCT
cana-1060	201	1	ordering	order	VERB
cana-1060	201	2	cost	cost	NOUN
cana-1060	201	3	plays	play	VERB
cana-1060	201	4	a	a	DET
cana-1060	201	5	significant	significant	ADJ
cana-1060	201	6	role	role	NOUN
cana-1060	201	7	in	in	ADP
cana-1060	201	8	decision	decision	NOUN
cana-1060	201	9	-	-	PUNCT
cana-1060	201	10	making	making	NOUN
cana-1060	201	11	for	for	ADP
cana-1060	201	12	supply	supply	NOUN
cana-1060	201	13	chain	chain	NOUN
cana-1060	201	14	management	management	NOUN
cana-1060	201	15	and	and	CCONJ
cana-1060	201	16	inventory	inventory	NOUN
cana-1060	201	17	control	control	NOUN
cana-1060	201	18	strategies	strategy	NOUN
cana-1060	201	19	.	.	PUNCT
cana-1060	202	1	the	the	DET
cana-1060	202	2	ordering	ordering	NOUN
cana-1060	202	3	cost	cost	NOUN
cana-1060	202	4	can	can	AUX
cana-1060	202	5	be	be	AUX
cana-1060	202	6	expressed	express	VERB
cana-1060	202	7	simply	simply	ADV
cana-1060	202	8	as	as	ADP
cana-1060	202	9	:	:	PUNCT
cana-1060	202	10	ordering	order	VERB
cana-1060	202	11	cost	cost	NOUN
cana-1060	202	12	(	(	PUNCT
cana-1060	202	13	oc	oc	NOUN
cana-1060	202	14	)	)	PUNCT
cana-1060	202	15	=	=	SYM
cana-1060	203	1	k	k	PROPN
cana-1060	203	2	2	2	X
cana-1060	203	3	.	.	PUNCT
cana-1060	204	1	the	the	DET
cana-1060	204	2	total	total	ADJ
cana-1060	204	3	number	number	NOUN
cana-1060	204	4	of	of	ADP
cana-1060	204	5	advertisements	advertisement	NOUN
cana-1060	204	6	during	during	ADP
cana-1060	204	7	each	each	DET
cana-1060	204	8	inventory	inventory	NOUN
cana-1060	204	9	cycle	cycle	NOUN
cana-1060	204	10	is	be	AUX
cana-1060	204	11	a	a	PRON
cana-1060	204	12	,	,	PUNCT
cana-1060	204	13	and	and	CCONJ
cana-1060	204	14	the	the	DET
cana-1060	204	15	cost	cost	NOUN
cana-1060	204	16	per	per	ADP
cana-1060	204	17	advertisement	advertisement	NOUN
cana-1060	204	18	is	be	AUX
cana-1060	204	19	g.	g.	PROPN
cana-1060	204	20	therefore	therefore	ADV
cana-1060	204	21	,	,	PUNCT
cana-1060	204	22	the	the	DET
cana-1060	204	23	total	total	ADJ
cana-1060	204	24	advertising	advertising	NOUN
cana-1060	204	25	cost	cost	NOUN
cana-1060	204	26	during	during	ADP
cana-1060	204	27	each	each	DET
cana-1060	204	28	inventory	inventory	NOUN
cana-1060	204	29	cycle	cycle	NOUN
cana-1060	204	30	would	would	AUX
cana-1060	204	31	be	be	AUX
cana-1060	204	32	:	:	PUNCT
cana-1060	204	33	total	total	ADJ
cana-1060	204	34	advertising	advertising	NOUN
cana-1060	204	35	cost	cost	NOUN
cana-1060	204	36	(	(	PUNCT
cana-1060	204	37	ac	ac	PROPN
cana-1060	204	38	)	)	PUNCT
cana-1060	204	39	=	=	SYM
cana-1060	204	40	ag	ag	PROPN
cana-1060	204	41	3	3	NUM
cana-1060	204	42	.	.	PUNCT
cana-1060	205	1	the	the	DET
cana-1060	205	2	retailer	retailer	NOUN
cana-1060	205	3	's	's	PART
cana-1060	205	4	total	total	ADJ
cana-1060	205	5	inventory	inventory	NOUN
cana-1060	205	6	holding	holding	NOUN
cana-1060	205	7	cost	cost	NOUN
cana-1060	205	8	over	over	ADP
cana-1060	205	9	the	the	DET
cana-1060	205	10	planning	planning	NOUN
cana-1060	205	11	period	period	NOUN
cana-1060	205	12	(	(	PUNCT
cana-1060	205	13	0	0	NUM
cana-1060	205	14	,	,	PUNCT
cana-1060	205	15	t1	t1	NOUN
cana-1060	205	16	)	)	PUNCT
cana-1060	205	17	,	,	PUNCT
cana-1060	205	18	which	which	PRON
cana-1060	205	19	is	be	AUX
cana-1060	205	20	divided	divide	VERB
cana-1060	205	21	into	into	ADP
cana-1060	205	22	two	two	NUM
cana-1060	205	23	parts	part	NOUN
cana-1060	205	24	(	(	PUNCT
cana-1060	205	25	0	0	NUM
cana-1060	205	26	,	,	PUNCT
cana-1060	205	27	td	td	NOUN
cana-1060	205	28	)	)	PUNCT
cana-1060	205	29	and	and	CCONJ
cana-1060	205	30	(	(	PUNCT
cana-1060	205	31	td	td	NOUN
cana-1060	205	32	,	,	PUNCT
cana-1060	205	33	t1	t1	NOUN
cana-1060	205	34	)	)	PUNCT
cana-1060	205	35	with	with	ADP
cana-1060	205	36	corresponding	correspond	VERB
cana-1060	205	37	inventory	inventory	NOUN
cana-1060	205	38	levels	level	NOUN
cana-1060	205	39	i1(t	i1(t	PART
cana-1060	205	40	)	)	PUNCT
cana-1060	205	41	and	and	CCONJ
cana-1060	205	42	i2(t	i2(t	PROPN
cana-1060	205	43	)	)	PUNCT
cana-1060	205	44	,	,	PUNCT
cana-1060	205	45	considering	consider	VERB
cana-1060	205	46	the	the	DET
cana-1060	205	47	inventory	inventory	NOUN
cana-1060	205	48	holding	holding	NOUN
cana-1060	205	49	cost	cost	NOUN
cana-1060	205	50	for	for	ADP
cana-1060	205	51	each	each	DET
cana-1060	205	52	part	part	NOUN
cana-1060	205	53	separately	separately	ADV
cana-1060	205	54	and	and	CCONJ
cana-1060	205	55	then	then	ADV
cana-1060	205	56	combining	combine	VERB
cana-1060	205	57	them	they	PRON
cana-1060	205	58	gives	give	VERB
cana-1060	205	59	the	the	DET
cana-1060	205	60	total	total	ADJ
cana-1060	205	61	cost	cost	NOUN
cana-1060	205	62	incurred	incur	VERB
cana-1060	205	63	by	by	ADP
cana-1060	205	64	the	the	DET
cana-1060	205	65	retailer	retailer	NOUN
cana-1060	205	66	to	to	PART
cana-1060	205	67	maintain	maintain	VERB
cana-1060	205	68	inventory	inventory	NOUN
cana-1060	205	69	throughout	throughout	ADP
cana-1060	205	70	the	the	DET
cana-1060	205	71	specified	specified	ADJ
cana-1060	205	72	period	period	NOUN
cana-1060	205	73	.	.	PUNCT
cana-1060	206	1	(	(	PUNCT
cana-1060	206	2	)	)	PUNCT
cana-1060	206	3	(	(	PUNCT
cana-1060	206	4	)	)	PUNCT
cana-1060	206	5	(	(	PUNCT
cana-1060	206	6	)	)	PUNCT
cana-1060	206	7	(	(	PUNCT
cana-1060	206	8	)	)	PUNCT
cana-1060	206	9	1	1	NUM
cana-1060	206	10	1	1	NUM
cana-1060	206	11	2	2	NUM
cana-1060	206	12	0	0	NUM
cana-1060	206	13	d	d	NOUN
cana-1060	206	14	d	d	PROPN
cana-1060	206	15	t	t	PROPN
cana-1060	206	16	t	t	PROPN
cana-1060	206	17	t	t	PROPN
cana-1060	206	18	hc	hc	INTJ
cana-1060	206	19	c	c	PROPN
cana-1060	206	20	g	g	PROPN
cana-1060	207	1	ht	ht	INTJ
cana-1060	208	1	i	i	PRON
cana-1060	208	2	t	t	INTJ
cana-1060	208	3	dt	dt	X
cana-1060	209	1	g	g	PROPN
cana-1060	209	2	ht	ht	INTJ
cana-1060	210	1	i	i	PRON
cana-1060	210	2	t	t	X
cana-1060	210	3	dt	dt	X
cana-1060	210	4			ADV
cana-1060	211	1			ADJ
cana-1060	211	2			NUM
cana-1060	211	3	=	=	SYM
cana-1060	211	4	+	+	PROPN
cana-1060	211	5	+	+	CCONJ
cana-1060	211	6	+	+	ADJ
cana-1060	211	7			NUM
cana-1060	211	8			NOUN
cana-1060	211	9			NUM
cana-1060	211	10			PROPN
cana-1060	211	11			PROPN
cana-1060	211	12			X
cana-1060	211	13			PUNCT
cana-1060	211	14	(	(	PUNCT
cana-1060	211	15	)	)	PUNCT
cana-1060	211	16	(	(	PUNCT
cana-1060	211	17	)	)	PUNCT
cana-1060	211	18	(	(	PUNCT
cana-1060	211	19	)	)	PUNCT
cana-1060	211	20	(	(	PUNCT
cana-1060	211	21	)	)	PUNCT
cana-1060	211	22	(	(	PUNCT
cana-1060	211	23	)	)	PUNCT
cana-1060	211	24	(	(	PUNCT
cana-1060	211	25	)	)	PUNCT
cana-1060	211	26	(	(	PUNCT
cana-1060	211	27	2	2	NUM
cana-1060	211	28	3	3	NUM
cana-1060	211	29	max	max	PROPN
cana-1060	211	30	max	max	PROPN
cana-1060	211	31	1	1	NUM
cana-1060	211	32	11	11	NUM
cana-1060	211	33	2	2	NUM
cana-1060	211	34	3	3	NUM
cana-1060	211	35	d	d	NOUN
cana-1060	212	1	d	d	PROPN
cana-1060	212	2	d	d	PROPN
cana-1060	212	3	d	d	PROPN
cana-1060	212	4	a	a	DET
cana-1060	212	5	a	a	DET
cana-1060	212	6	bpt	bpt	NOUN
cana-1060	212	7	t	t	PROPN
cana-1060	212	8	c	c	NOUN
cana-1060	212	9	gi	gi	INTJ
cana-1060	212	10	t	t	PROPN
cana-1060	212	11	ga	ga	PROPN
cana-1060	212	12	a	a	DET
cana-1060	212	13	bp	bp	PROPN
cana-1060	212	14	hi	hi	INTJ
cana-1060	212	15	ha	ha	INTJ
cana-1060	212	16	a	a	DET
cana-1060	212	17	bp	bp	PROPN
cana-1060	212	18	g	g	PROPN
cana-1060	212	19	m	m	PROPN
cana-1060	212	20	t	t	PROPN
cana-1060	212	21	t	t	PROPN
cana-1060	212	22	t	t	PROPN
cana-1060	212	23	m	m	VERB
cana-1060	212	24			NUM
cana-1060	212	25			NUM
cana-1060	212	26			ADJ
cana-1060	212	27			ADP
cana-1060	212	28	−	−	PRON
cana-1060	212	29			VERB
cana-1060	212	30	=	=	NOUN
cana-1060	212	31	−	−	PROPN
cana-1060	213	1	−	−	NOUN
cana-1060	213	2	−	−	PROPN
cana-1060	213	3	−	−	NOUN
cana-1060	213	4	−	−	PROPN
cana-1060	214	1	+	+	CCONJ
cana-1060	214	2	+	+	NUM
cana-1060	214	3	−	−	NOUN
cana-1060	214	4			NOUN
cana-1060	214	5			AUX
cana-1060	214	6			X
cana-1060	214	7			NOUN
cana-1060	214	8	(	(	PUNCT
cana-1060	214	9	)	)	PUNCT
cana-1060	214	10	(	(	PUNCT
cana-1060	214	11	)	)	PUNCT
cana-1060	214	12	(	(	PUNCT
cana-1060	214	13	)	)	PUNCT
cana-1060	214	14	2	2	NUM
cana-1060	214	15	2	2	NUM
cana-1060	214	16	3	3	NUM
cana-1060	214	17	3	3	NUM
cana-1060	214	18	2	2	NUM
cana-1060	214	19	21	21	NUM
cana-1060	214	20	1	1	NUM
cana-1060	214	21	1	1	NUM
cana-1060	214	22	1	1	NUM
cana-1060	214	23	1	1	NUM
cana-1060	214	24	1	1	NUM
cana-1060	214	25	1	1	NUM
cana-1060	214	26	1	1	NUM
cana-1060	214	27	1	1	NUM
cana-1060	214	28	2	2	NUM
cana-1060	214	29	1	1	NUM
cana-1060	214	30	2	2	NUM
cana-1060	214	31	3	3	NUM
cana-1060	214	32	4	4	NUM
cana-1060	214	33	1	1	NUM
cana-1060	214	34	d	d	NOUN
cana-1060	214	35	d	d	PROPN
cana-1060	214	36	d	d	PROPN
cana-1060	214	37	d	d	PROPN
cana-1060	214	38	t	t	PROPN
cana-1060	214	39	t	t	PROPN
cana-1060	214	40	t	t	PROPN
cana-1060	214	41	t	t	PROPN
cana-1060	214	42	g	g	PROPN
cana-1060	214	43	m	m	PROPN
cana-1060	214	44	t	t	PROPN
cana-1060	214	45	m	m	PROPN
cana-1060	214	46	t	t	PROPN
cana-1060	214	47	m	m	PROPN
cana-1060	214	48	t	t	PROPN
cana-1060	214	49	m	m	PROPN
cana-1060	214	50	t	t	NOUN
cana-1060	214	51	in	in	ADP
cana-1060	214	52	m	m	PROPN
cana-1060	214	53	t	t	NOUN
cana-1060	214	54			NOUN
cana-1060	214	55			PROPN
cana-1060	214	56			NUM
cana-1060	215	1			NOUN
cana-1060	215	2			PROPN
cana-1060	215	3			PROPN
cana-1060	215	4			NOUN
cana-1060	215	5	−	−	PROPN
cana-1060	215	6	−	−	PROPN
cana-1060	216	1	+	+	CCONJ
cana-1060	216	2	−	−	PROPN
cana-1060	216	3	−	−	PROPN
cana-1060	217	1	+	+	CCONJ
cana-1060	217	2	−	−	PROPN
cana-1060	218	1	+	+	CCONJ
cana-1060	218	2	−	−	PROPN
cana-1060	219	1	+	+	CCONJ
cana-1060	219	2	−	−	PROPN
cana-1060	219	3	−	−	PROPN
cana-1060	220	1	+	+	CCONJ
cana-1060	221	1	−	−	PROPN
cana-1060	221	2	+	+	ADJ
cana-1060	221	3			PROPN
cana-1060	221	4			X
cana-1060	222	1			NOUN
cana-1060	222	2			PROPN
cana-1060	222	3			NOUN
cana-1060	223	1			PROPN
cana-1060	224	1			PROPN
cana-1060	224	2			PROPN
cana-1060	225	1			PROPN
cana-1060	225	2	+	+	NOUN
cana-1060	225	3	−	−	PROPN
cana-1060	225	4			NOUN
cana-1060	225	5			PROPN
cana-1060	225	6			NOUN
cana-1060	225	7			PROPN
cana-1060	225	8			ADJ
cana-1060	225	9			PROPN
cana-1060	225	10			NOUN
cana-1060	225	11			NOUN
cana-1060	225	12	(	(	PUNCT
cana-1060	225	13	)	)	PUNCT
cana-1060	225	14	(	(	PUNCT
cana-1060	225	15	)	)	PUNCT
cana-1060	225	16	(	(	PUNCT
cana-1060	225	17	)	)	PUNCT
cana-1060	225	18	(	(	PUNCT
cana-1060	225	19	)	)	PUNCT
cana-1060	225	20	22	22	NUM
cana-1060	225	21	2	2	NUM
cana-1060	225	22	3	3	NUM
cana-1060	225	23	3	3	NUM
cana-1060	225	24	4	4	NUM
cana-1060	225	25	4	4	NUM
cana-1060	225	26	1	1	NUM
cana-1060	225	27	1	1	NUM
cana-1060	225	28	1	1	NUM
cana-1060	225	29	1	1	NUM
cana-1060	225	30	1	1	NUM
cana-1060	225	31	1	1	NUM
cana-1060	225	32	1	1	NUM
cana-1060	225	33	1	1	NUM
cana-1060	225	34	1	1	NUM
cana-1060	225	35	2	2	NUM
cana-1060	225	36	3	3	NUM
cana-1060	225	37	4	4	NUM
cana-1060	225	38	6	6	NUM
cana-1060	226	1	d	d	NOUN
cana-1060	226	2	d	d	PROPN
cana-1060	226	3	d	d	PROPN
cana-1060	226	4	d	d	X
cana-1060	226	5	mt	mt	PROPN
cana-1060	226	6	t	t	PROPN
cana-1060	226	7	t	t	PROPN
cana-1060	226	8	t	t	PROPN
cana-1060	226	9	t	t	PROPN
cana-1060	226	10	t	t	PROPN
cana-1060	226	11	h	h	NOUN
cana-1060	226	12	m	m	PROPN
cana-1060	226	13	t	t	PROPN
cana-1060	226	14	m	m	PROPN
cana-1060	226	15	t	t	PROPN
cana-1060	226	16	h	h	NOUN
cana-1060	226	17	t	t	PROPN
cana-1060	226	18	t	t	X
cana-1060	226	19			PROPN
cana-1060	226	20			PROPN
cana-1060	227	1	+	+	ADJ
cana-1060	227	2			NOUN
cana-1060	227	3			ADJ
cana-1060	227	4			NOUN
cana-1060	227	5			PROPN
cana-1060	227	6			NOUN
cana-1060	227	7	−	−	NOUN
cana-1060	227	8	−	−	PROPN
cana-1060	227	9	−	−	PROPN
cana-1060	228	1	+	+	CCONJ
cana-1060	229	1	+	+	CCONJ
cana-1060	229	2	−	−	X
cana-1060	230	1	+	+	CCONJ
cana-1060	230	2	−	−	PROPN
cana-1060	231	1	+	+	CCONJ
cana-1060	231	2	+	+	PUNCT
cana-1060	231	3	−	−	NOUN
cana-1060	231	4			NOUN
cana-1060	231	5			PROPN
cana-1060	232	1			PROPN
cana-1060	233	1			INTJ
cana-1060	234	1			PROPN
cana-1060	235	1			PROPN
cana-1060	235	2			VERB
cana-1060	235	3			NUM
cana-1060	235	4			PROPN
cana-1060	235	5			NOUN
cana-1060	235	6			NOUN
cana-1060	235	7			NOUN
cana-1060	235	8			NOUN
cana-1060	235	9			PROPN
cana-1060	235	10	(	(	PUNCT
cana-1060	235	11	)	)	PUNCT
cana-1060	235	12	(	(	PUNCT
cana-1060	235	13	)	)	PUNCT
cana-1060	235	14	(	(	PUNCT
cana-1060	235	15	)	)	PUNCT
cana-1060	235	16	2	2	NUM
cana-1060	235	17	32	32	NUM
cana-1060	235	18	2	2	NUM
cana-1060	235	19	3	3	NUM
cana-1060	235	20	3	3	NUM
cana-1060	235	21	2	2	NUM
cana-1060	235	22	3	3	NUM
cana-1060	235	23	1	1	NUM
cana-1060	235	24	1	1	NUM
cana-1060	235	25	1	1	NUM
cana-1060	235	26	1	1	NUM
cana-1060	235	27	11	11	NUM
cana-1060	235	28	1	1	NUM
cana-1060	235	29	12	12	NUM
cana-1060	235	30	9	9	NUM
cana-1060	235	31	1	1	NUM
cana-1060	235	32	2	2	NUM
cana-1060	235	33	2	2	NUM
cana-1060	235	34	3	3	NUM
cana-1060	235	35	3	3	NUM
cana-1060	235	36	d	d	NOUN
cana-1060	235	37	d	d	PROPN
cana-1060	236	1	d	d	PROPN
cana-1060	236	2	d	d	PROPN
cana-1060	236	3	d	d	PROPN
cana-1060	236	4	m	m	PROPN
cana-1060	236	5	mt	mt	PROPN
cana-1060	236	6	t	t	PROPN
cana-1060	236	7	t	t	PROPN
cana-1060	236	8	t	t	PROPN
cana-1060	236	9	m	m	PROPN
cana-1060	236	10	t	t	PROPN
cana-1060	236	11	t	t	PROPN
cana-1060	236	12	t	t	PROPN
cana-1060	236	13	m	m	VERB
cana-1060	236	14	in	in	ADP
cana-1060	236	15	m	m	PROPN
cana-1060	236	16	t	t	NOUN
cana-1060	236	17			NOUN
cana-1060	236	18	+	+	VERB
cana-1060	236	19	+	+	PROPN
cana-1060	236	20			NOUN
cana-1060	236	21			PROPN
cana-1060	236	22			PROPN
cana-1060	236	23			NOUN
cana-1060	236	24	−	−	PROPN
cana-1060	236	25	−	−	PROPN
cana-1060	237	1	+	+	CCONJ
cana-1060	237	2	−	−	PROPN
cana-1060	237	3			NOUN
cana-1060	237	4	+	+	NOUN
cana-1060	237	5	+	+	NOUN
cana-1060	237	6	−	−	PROPN
cana-1060	238	1	+	+	CCONJ
cana-1060	238	2	−	−	PROPN
cana-1060	239	1	+	+	CCONJ
cana-1060	239	2	+	+	CCONJ
cana-1060	239	3	−	−	PROPN
cana-1060	239	4			NUM
cana-1060	239	5			NOUN
cana-1060	239	6			NOUN
cana-1060	240	1			PROPN
cana-1060	240	2			PROPN
cana-1060	240	3			PROPN
cana-1060	241	1			PROPN
cana-1060	241	2	+	+	PROPN
cana-1060	242	1	−	−	PRON
cana-1060	242	2			NOUN
cana-1060	242	3			NOUN
cana-1060	242	4			PROPN
cana-1060	242	5			NOUN
cana-1060	242	6			PROPN
cana-1060	242	7			NOUN
cana-1060	242	8			NOUN
cana-1060	242	9			NOUN
cana-1060	242	10	(	(	PUNCT
cana-1060	242	11	10	10	NUM
cana-1060	242	12	)	)	PUNCT
cana-1060	242	13	4	4	NUM
cana-1060	242	14	.	.	PUNCT
cana-1060	243	1	the	the	DET
cana-1060	243	2	cost	cost	NOUN
cana-1060	243	3	of	of	ADP
cana-1060	243	4	deterioration	deterioration	NOUN
cana-1060	243	5	over	over	ADP
cana-1060	243	6	the	the	DET
cana-1060	243	7	interval	interval	NOUN
cana-1060	244	1	[	[	X
cana-1060	244	2	td	td	NOUN
cana-1060	244	3	,	,	PUNCT
cana-1060	244	4	t1	t1	NOUN
cana-1060	244	5	]	]	PUNCT
cana-1060	244	6	for	for	ADP
cana-1060	244	7	the	the	DET
cana-1060	244	8	retailer	retailer	NOUN
cana-1060	244	9	's	's	PART
cana-1060	244	10	inventory	inventory	NOUN
cana-1060	244	11	,	,	PUNCT
cana-1060	244	12	where	where	SCONJ
cana-1060	244	13	deterioration	deterioration	NOUN
cana-1060	244	14	affects	affect	VERB
cana-1060	244	15	the	the	DET
cana-1060	244	16	inventory	inventory	NOUN
cana-1060	244	17	's	's	PART
cana-1060	244	18	value	value	NOUN
cana-1060	244	19	due	due	ADP
cana-1060	244	20	to	to	ADP
cana-1060	244	21	spoilage	spoilage	VERB
cana-1060	244	22	,	,	PUNCT
cana-1060	244	23	wear	wear	NOUN
cana-1060	244	24	-	-	PUNCT
cana-1060	244	25	and	and	CCONJ
cana-1060	244	26	-	-	PUNCT
cana-1060	244	27	tear	tear	ADJ
cana-1060	244	28	,	,	PUNCT
cana-1060	244	29	obsolescence	obsolescence	NOUN
cana-1060	244	30	,	,	PUNCT
cana-1060	244	31	and	and	CCONJ
cana-1060	244	32	similar	similar	ADJ
cana-1060	244	33	factors	factor	NOUN
cana-1060	244	34	,	,	PUNCT
cana-1060	244	35	formulate	formulate	VERB
cana-1060	244	36	the	the	DET
cana-1060	244	37	expression	expression	NOUN
cana-1060	244	38	based	base	VERB
cana-1060	244	39	on	on	ADP
cana-1060	244	40	the	the	DET
cana-1060	244	41	quantity	quantity	NOUN
cana-1060	244	42	of	of	ADP
cana-1060	244	43	inventory	inventory	NOUN
cana-1060	244	44	that	that	PRON
cana-1060	244	45	has	have	AUX
cana-1060	244	46	deteriorated	deteriorate	VERB
cana-1060	244	47	during	during	ADP
cana-1060	244	48	this	this	DET
cana-1060	244	49	period	period	NOUN
cana-1060	244	50	.	.	PUNCT
cana-1060	245	1	(	(	PUNCT
cana-1060	245	2	)	)	PUNCT
cana-1060	245	3	(	(	PUNCT
cana-1060	245	4	)	)	PUNCT
cana-1060	245	5	(	(	PUNCT
cana-1060	245	6	)	)	PUNCT
cana-1060	245	7	(	(	PUNCT
cana-1060	245	8	)	)	PUNCT
cana-1060	245	9	(	(	PUNCT
cana-1060	245	10	)	)	PUNCT
cana-1060	245	11	(	(	PUNCT
cana-1060	245	12	)	)	PUNCT
cana-1060	245	13	(	(	PUNCT
cana-1060	245	14	)	)	SYM
cana-1060	245	15	1	1	NUM
cana-1060	245	16	2	2	NUM
cana-1060	245	17	2	2	NUM
cana-1060	245	18	11	11	NUM
cana-1060	245	19	2	2	NUM
cana-1060	245	20	1	1	NUM
cana-1060	245	21	1	1	NUM
cana-1060	245	22	1	1	NUM
cana-1060	245	23	1	1	NUM
cana-1060	245	24	1	1	NUM
cana-1060	245	25	2	2	NUM
cana-1060	245	26	d	d	NOUN
cana-1060	245	27	t	t	PROPN
cana-1060	246	1	d	d	X
cana-1060	246	2	d	d	PROPN
cana-1060	247	1	d	d	PROPN
cana-1060	247	2	d	d	X
cana-1060	247	3	d	d	X
cana-1060	247	4	dt	dt	X
cana-1060	247	5	t	t	PROPN
cana-1060	247	6	tda	tda	PROPN
cana-1060	247	7	a	a	DET
cana-1060	247	8	bpm	bpm	NOUN
cana-1060	247	9	t	t	PROPN
cana-1060	247	10	m	m	PROPN
cana-1060	247	11	t	t	PROPN
cana-1060	247	12	dc	dc	PROPN
cana-1060	248	1	d	d	X
cana-1060	248	2	i	i	PRON
cana-1060	248	3	t	t	VERB
cana-1060	248	4	a	a	PRON
cana-1060	248	5	a	a	DET
cana-1060	248	6	bp	bp	PROPN
cana-1060	249	1	dt	dt	PROPN
cana-1060	249	2	t	t	PROPN
cana-1060	249	3	t	t	PROPN
cana-1060	249	4	t	t	PROPN
cana-1060	249	5	m	m	PROPN
cana-1060	249	6	t	t	PROPN
cana-1060	249	7	in	in	ADP
cana-1060	249	8	m	m	PROPN
cana-1060	249	9	m	m	VERB
cana-1060	249	10	m	m	VERB
cana-1060	249	11	t	t	NOUN
cana-1060	249	12			NUM
cana-1060	249	13			NUM
cana-1060	249	14			PROPN
cana-1060	249	15			PROPN
cana-1060	249	16			PROPN
cana-1060	249	17	−−	−−	PROPN
cana-1060	249	18			NOUN
cana-1060	249	19	−	−	NOUN
cana-1060	249	20	+	+	CCONJ
cana-1060	249	21	−	−	NOUN
cana-1060	249	22			NOUN
cana-1060	249	23	=	=	PUNCT
cana-1060	250	1	−	−	PROPN
cana-1060	250	2	−	−	PROPN
cana-1060	251	1	=	=	SYM
cana-1060	251	2	−	−	PROPN
cana-1060	251	3	−	−	PROPN
cana-1060	252	1	+	+	CCONJ
cana-1060	252	2	+	+	NUM
cana-1060	252	3	−	−	PROPN
cana-1060	252	4	−	−	PROPN
cana-1060	252	5			PROPN
cana-1060	252	6			NOUN
cana-1060	252	7			NOUN
cana-1060	252	8			NOUN
cana-1060	252	9			X
cana-1060	253	1			INTJ
cana-1060	254	1	+	+	CCONJ
cana-1060	254	2	−	−	ADJ
cana-1060	254	3			NOUN
cana-1060	254	4			NOUN
cana-1060	254	5			NOUN
cana-1060	254	6			NOUN
cana-1060	254	7			NOUN
cana-1060	254	8			VERB
cana-1060	254	9			PROPN
cana-1060	254	10			PUNCT
cana-1060	254	11	(	(	PUNCT
cana-1060	254	12	11	11	NUM
cana-1060	254	13	)	)	SYM
cana-1060	254	14	5	5	NUM
cana-1060	254	15	.	.	PUNCT
cana-1060	254	16	shortage	shortage	NOUN
cana-1060	254	17	cost	cost	NOUN
cana-1060	254	18	is	be	AUX
cana-1060	254	19	calculated	calculate	VERB
cana-1060	254	20	during	during	ADP
cana-1060	254	21	the	the	DET
cana-1060	254	22	time	time	NOUN
cana-1060	254	23	interval	interval	NOUN
cana-1060	254	24	t1	t1	NOUN
cana-1060	254	25	<	<	X
cana-1060	254	26	t	t	PROPN
cana-1060	254	27	≤	≤	PROPN
cana-1060	254	28	t	t	PROPN
cana-1060	254	29	,	,	PUNCT
cana-1060	254	30	where	where	SCONJ
cana-1060	254	31	customers	customer	NOUN
cana-1060	254	32	experience	experience	VERB
cana-1060	254	33	delays	delay	NOUN
cana-1060	254	34	or	or	CCONJ
cana-1060	254	35	unavailability	unavailability	NOUN
cana-1060	254	36	of	of	ADP
cana-1060	254	37	goods	good	NOUN
cana-1060	254	38	.	.	PUNCT
cana-1060	255	1	various	various	ADJ
cana-1060	255	2	components	component	NOUN
cana-1060	255	3	related	relate	VERB
cana-1060	255	4	to	to	ADP
cana-1060	255	5	the	the	DET
cana-1060	255	6	consequences	consequence	NOUN
cana-1060	255	7	of	of	ADP
cana-1060	255	8	inadequate	inadequate	ADJ
cana-1060	255	9	inventory	inventory	NOUN
cana-1060	255	10	levels	level	NOUN
cana-1060	255	11	constitutes	constitute	VERB
cana-1060	255	12	the	the	DET
cana-1060	255	13	shortage	shortage	NOUN
cana-1060	255	14	cost	cost	NOUN
cana-1060	255	15	.	.	PUNCT
cana-1060	256	1	the	the	DET
cana-1060	256	2	expression	expression	NOUN
cana-1060	256	3	for	for	ADP
cana-1060	256	4	shortage	shortage	NOUN
cana-1060	256	5	cost	cost	NOUN
cana-1060	256	6	is	be	AUX
cana-1060	256	7	thus	thus	ADV
cana-1060	256	8	:	:	PUNCT
cana-1060	256	9	(	(	PUNCT
cana-1060	256	10	)	)	PUNCT
cana-1060	256	11	(	(	PUNCT
cana-1060	256	12	)	)	PUNCT
cana-1060	256	13	(	(	PUNCT
cana-1060	256	14	)	)	PUNCT
cana-1060	256	15	(	(	PUNCT
cana-1060	256	16	)	)	PUNCT
cana-1060	256	17	(	(	PUNCT
cana-1060	256	18	)	)	PUNCT
cana-1060	256	19	(	(	PUNCT
cana-1060	256	20	)	)	PUNCT
cana-1060	256	21	1	1	NUM
cana-1060	256	22	3	3	NUM
cana-1060	256	23	1	1	NUM
cana-1060	256	24	1	1	NUM
cana-1060	256	25	1	1	NUM
cana-1060	256	26	1	1	NUM
cana-1060	256	27	t	t	NOUN
cana-1060	256	28	t	t	PROPN
cana-1060	256	29	sa	sa	PROPN
cana-1060	256	30	a	a	DET
cana-1060	256	31	bp	bp	PROPN
cana-1060	256	32	sc	sc	PROPN
cana-1060	256	33	s	s	VERB
cana-1060	257	1	i	i	INTJ
cana-1060	257	2	t	t	PROPN
cana-1060	257	3	dt	dt	X
cana-1060	257	4	t	t	PROPN
cana-1060	257	5	t	t	PROPN
cana-1060	257	6	in	in	ADP
cana-1060	257	7	t	t	PROPN
cana-1060	257	8	t	t	NOUN
cana-1060	257	9			NUM
cana-1060	258	1			NUM
cana-1060	258	2			NUM
cana-1060	258	3			NUM
cana-1060	258	4	−	−	PROPN
cana-1060	258	5			PROPN
cana-1060	258	6			NOUN
cana-1060	258	7	=	=	PUNCT
cana-1060	258	8	−	−	PROPN
cana-1060	258	9	=	=	PUNCT
cana-1060	258	10	−	−	PROPN
cana-1060	258	11	−	−	PROPN
cana-1060	259	1	+	+	CCONJ
cana-1060	259	2	−	−	PROPN
cana-1060	260	1			PROPN
cana-1060	260	2			PROPN
cana-1060	260	3			X
cana-1060	260	4	(	(	PUNCT
cana-1060	260	5	12	12	NUM
cana-1060	260	6	)	)	PUNCT
cana-1060	260	7	6	6	NUM
cana-1060	260	8	.	.	PUNCT
cana-1060	261	1	the	the	DET
cana-1060	261	2	last	last	ADJ
cana-1060	261	3	sale	sale	NOUN
cana-1060	261	4	cost	cost	NOUN
cana-1060	261	5	(	(	PUNCT
cana-1060	261	6	lsc	lsc	PROPN
cana-1060	261	7	)	)	PUNCT
cana-1060	261	8	is	be	AUX
cana-1060	261	9	calculated	calculate	VERB
cana-1060	261	10	as	as	ADP
cana-1060	261	11	the	the	DET
cana-1060	261	12	integral	integral	ADJ
cana-1060	261	13	of	of	ADP
cana-1060	261	14	unmet	unmet	NOUN
cana-1060	261	15	demand	demand	NOUN
cana-1060	261	16	d(p	d(p	PROPN
cana-1060	261	17	)	)	PUNCT
cana-1060	261	18	over	over	ADP
cana-1060	261	19	the	the	DET
cana-1060	261	20	time	time	NOUN
cana-1060	261	21	interval	interval	NOUN
cana-1060	261	22	t1	t1	NOUN
cana-1060	261	23	<	<	X
cana-1060	261	24	t	t	PROPN
cana-1060	261	25	≤	≤	PROPN
cana-1060	261	26	t	t	PROPN
cana-1060	261	27	,	,	PUNCT
cana-1060	261	28	multiplied	multiply	VERB
cana-1060	261	29	by	by	ADP
cana-1060	261	30	the	the	DET
cana-1060	261	31	unit	unit	NOUN
cana-1060	261	32	opportunity	opportunity	NOUN
cana-1060	261	33	cost	cost	NOUN
cana-1060	261	34	‘	'	PUNCT
cana-1060	261	35	l	l	NOUN
cana-1060	261	36	’	'	PUNCT
cana-1060	261	37	.	.	PUNCT
cana-1060	262	1	this	this	DET
cana-1060	262	2	mathematical	mathematical	ADJ
cana-1060	262	3	representation	representation	NOUN
cana-1060	262	4	communications	communication	NOUN
cana-1060	262	5	on	on	ADP
cana-1060	262	6	applied	apply	VERB
cana-1060	262	7	nonlinear	nonlinear	ADJ
cana-1060	262	8	analysis	analysis	NOUN
cana-1060	262	9	issn	issn	NOUN
cana-1060	262	10	:	:	PUNCT
cana-1060	262	11	1074	1074	NUM
cana-1060	262	12	-	-	PUNCT
cana-1060	262	13	133x	133x	NUM
cana-1060	262	14	vol	vol	NOUN
cana-1060	262	15	31	31	NUM
cana-1060	262	16	no	no	NOUN
cana-1060	262	17	.	.	PUNCT
cana-1060	263	1	5s	5s	NUM
cana-1060	263	2	(	(	PUNCT
cana-1060	263	3	2024	2024	NUM
cana-1060	263	4	)	)	PUNCT
cana-1060	263	5	420	420	NUM
cana-1060	263	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	263	7	assesses	assess	VERB
cana-1060	263	8	the	the	DET
cana-1060	263	9	economic	economic	ADJ
cana-1060	263	10	implications	implication	NOUN
cana-1060	263	11	of	of	ADP
cana-1060	263	12	customers	customer	NOUN
cana-1060	263	13	seeking	seek	VERB
cana-1060	263	14	alternatives	alternative	NOUN
cana-1060	263	15	due	due	ADP
cana-1060	263	16	to	to	ADP
cana-1060	263	17	inventory	inventory	NOUN
cana-1060	263	18	shortages	shortage	NOUN
cana-1060	263	19	.	.	PUNCT
cana-1060	264	1	it	it	PRON
cana-1060	264	2	guides	guide	VERB
cana-1060	264	3	inventory	inventory	NOUN
cana-1060	264	4	management	management	NOUN
cana-1060	264	5	to	to	PART
cana-1060	264	6	enhance	enhance	VERB
cana-1060	264	7	sales	sale	NOUN
cana-1060	264	8	performance	performance	NOUN
cana-1060	264	9	and	and	CCONJ
cana-1060	264	10	competitiveness	competitiveness	NOUN
cana-1060	264	11	.	.	PUNCT
cana-1060	265	1	(	(	PUNCT
cana-1060	265	2	)	)	PUNCT
cana-1060	265	3	(	(	PUNCT
cana-1060	265	4	)	)	PUNCT
cana-1060	265	5	(	(	PUNCT
cana-1060	265	6	)	)	PUNCT
cana-1060	265	7	(	(	PUNCT
cana-1060	265	8	)	)	PUNCT
cana-1060	265	9	(	(	PUNCT
cana-1060	265	10	)	)	PUNCT
cana-1060	265	11	(	(	PUNCT
cana-1060	265	12	)	)	PUNCT
cana-1060	265	13	1	1	NUM
cana-1060	265	14	1	1	NUM
cana-1060	265	15	1	1	NUM
cana-1060	265	16	1	1	NUM
cana-1060	265	17	1	1	NUM
cana-1060	265	18	1	1	NUM
cana-1060	265	19	1	1	NUM
cana-1060	265	20	1	1	NUM
cana-1060	265	21	1	1	NUM
cana-1060	265	22	t	t	NOUN
cana-1060	265	23	t	t	NOUN
cana-1060	265	24	lsc	lsc	PROPN
cana-1060	265	25	l	l	PROPN
cana-1060	265	26	a	a	DET
cana-1060	265	27	a	a	DET
cana-1060	265	28	bp	bp	NOUN
cana-1060	265	29	dt	dt	NOUN
cana-1060	265	30	la	la	PROPN
cana-1060	265	31	a	a	DET
cana-1060	265	32	bp	bp	PROPN
cana-1060	265	33	t	t	PROPN
cana-1060	265	34	t	t	PROPN
cana-1060	265	35	in	in	ADP
cana-1060	265	36	t	t	PROPN
cana-1060	265	37	t	t	PROPN
cana-1060	265	38	t	t	PROPN
cana-1060	265	39	t	t	PROPN
cana-1060	265	40			PUNCT
cana-1060	265	41			NUM
cana-1060	265	42			NUM
cana-1060	265	43			NUM
cana-1060	265	44			NUM
cana-1060	265	45			NOUN
cana-1060	265	46			NOUN
cana-1060	265	47			PROPN
cana-1060	265	48			NOUN
cana-1060	265	49	=	=	PUNCT
cana-1060	266	1	−	−	NOUN
cana-1060	266	2	−	−	PROPN
cana-1060	267	1	=	=	SYM
cana-1060	267	2	−	−	PROPN
cana-1060	267	3	−	−	NOUN
cana-1060	268	1	−	−	PROPN
cana-1060	268	2	+	+	CCONJ
cana-1060	268	3	−	−	PROPN
cana-1060	268	4			ADJ
cana-1060	268	5			NOUN
cana-1060	269	1	+	+	NOUN
cana-1060	269	2	−	−	NOUN
cana-1060	269	3			NOUN
cana-1060	269	4			VERB
cana-1060	269	5			NOUN
cana-1060	269	6			PUNCT
cana-1060	269	7	(	(	PUNCT
cana-1060	269	8	13	13	NUM
cana-1060	269	9	)	)	PUNCT
cana-1060	269	10	7	7	NUM
cana-1060	269	11	.	.	PUNCT
cana-1060	270	1	the	the	DET
cana-1060	270	2	overall	overall	ADJ
cana-1060	270	3	sales	sale	NOUN
cana-1060	270	4	income	income	NOUN
cana-1060	270	5	for	for	ADP
cana-1060	270	6	the	the	DET
cana-1060	270	7	entire	entire	ADJ
cana-1060	270	8	cycle	cycle	NOUN
cana-1060	270	9	length	length	NOUN
cana-1060	270	10	,	,	PUNCT
cana-1060	270	11	taking	take	VERB
cana-1060	270	12	into	into	ADP
cana-1060	270	13	account	account	NOUN
cana-1060	270	14	the	the	DET
cana-1060	270	15	item	item	NOUN
cana-1060	270	16	's	's	PART
cana-1060	270	17	selling	selling	NOUN
cana-1060	270	18	price	price	NOUN
cana-1060	270	19	p	p	NOUN
cana-1060	270	20	and	and	CCONJ
cana-1060	270	21	demand	demand	NOUN
cana-1060	270	22	function	function	NOUN
cana-1060	270	23	d(p	d(p	PROPN
cana-1060	270	24	)	)	PUNCT
cana-1060	270	25	during	during	ADP
cana-1060	270	26	the	the	DET
cana-1060	270	27	period	period	NOUN
cana-1060	270	28	of	of	ADP
cana-1060	270	29	favourable	favourable	ADJ
cana-1060	270	30	stock	stock	NOUN
cana-1060	270	31	(	(	PUNCT
cana-1060	270	32	t1	t1	PROPN
cana-1060	270	33	)	)	PUNCT
cana-1060	270	34	,	,	PUNCT
cana-1060	270	35	expresses	express	VERB
cana-1060	270	36	the	the	DET
cana-1060	270	37	total	total	ADJ
cana-1060	270	38	sales	sale	NOUN
cana-1060	270	39	revenue	revenue	NOUN
cana-1060	270	40	as	as	ADP
cana-1060	270	41	:	:	PUNCT
cana-1060	270	42	(	(	PUNCT
cana-1060	270	43	)	)	PUNCT
cana-1060	270	44	(	(	PUNCT
cana-1060	270	45	)	)	PUNCT
cana-1060	270	46	(	(	PUNCT
cana-1060	270	47	)	)	PUNCT
cana-1060	270	48	(	(	PUNCT
cana-1060	270	49	)	)	SYM
cana-1060	270	50	2	2	NUM
cana-1060	270	51	2	2	NUM
cana-1060	270	52	1	1	NUM
cana-1060	270	53	1	1	NUM
cana-1060	270	54	0	0	NUM
cana-1060	270	55	0	0	NUM
cana-1060	270	56	1	1	NUM
cana-1060	270	57	2	2	NUM
cana-1060	270	58	d	d	NOUN
cana-1060	270	59	dt	dt	X
cana-1060	270	60	t	t	PROPN
cana-1060	271	1	d	d	X
cana-1060	271	2	m	m	VERB
cana-1060	271	3	t	t	NOUN
cana-1060	271	4	sr	sr	PROPN
cana-1060	271	5	p	p	PROPN
cana-1060	271	6	a	a	PRON
cana-1060	271	7	a	a	DET
cana-1060	271	8	bp	bp	NOUN
cana-1060	271	9	dt	dt	PROPN
cana-1060	272	1	p	p	X
cana-1060	272	2	a	a	DET
cana-1060	272	3	a	a	DET
cana-1060	272	4	bp	bp	NOUN
cana-1060	272	5	dt	dt	NOUN
cana-1060	272	6	pr	pr	PROPN
cana-1060	272	7	pa	pa	PROPN
cana-1060	272	8	a	a	DET
cana-1060	272	9	bp	bp	PROPN
cana-1060	272	10	t	t	PROPN
cana-1060	272	11	t	t	PROPN
cana-1060	272	12	t	t	PROPN
cana-1060	272	13	pr	pr	VERB
cana-1060	272	14	m	m	VERB
cana-1060	272	15	m	m	VERB
cana-1060	272	16			NUM
cana-1060	272	17			NUM
cana-1060	272	18	−	−	X
cana-1060	272	19			NOUN
cana-1060	272	20			INTJ
cana-1060	273	1			NOUN
cana-1060	274	1	=	=	PUNCT
cana-1060	275	1	−	−	PROPN
cana-1060	276	1	+	+	CCONJ
cana-1060	276	2	−	−	PROPN
cana-1060	277	1	+	+	CCONJ
cana-1060	277	2	=	=	SYM
cana-1060	277	3	−	−	NOUN
cana-1060	277	4	−	−	NOUN
cana-1060	278	1	−	−	PROPN
cana-1060	279	1	+	+	NOUN
cana-1060	279	2			PROPN
cana-1060	279	3			ADJ
cana-1060	279	4			NOUN
cana-1060	279	5			NOUN
cana-1060	279	6			NOUN
cana-1060	279	7			VERB
cana-1060	279	8			PROPN
cana-1060	279	9			X
cana-1060	279	10			X
cana-1060	279	11	(	(	PUNCT
cana-1060	279	12	14	14	NUM
cana-1060	279	13	)	)	PUNCT
cana-1060	279	14	8	8	NUM
cana-1060	279	15	.	.	PUNCT
cana-1060	280	1	the	the	DET
cana-1060	280	2	cyclic	cyclic	ADJ
cana-1060	280	3	capital	capital	NOUN
cana-1060	280	4	costs	cost	NOUN
cana-1060	280	5	associated	associate	VERB
cana-1060	280	6	with	with	ADP
cana-1060	280	7	prepayments	prepayment	NOUN
cana-1060	280	8	made	make	VERB
cana-1060	280	9	by	by	ADP
cana-1060	280	10	the	the	DET
cana-1060	280	11	retailer	retailer	NOUN
cana-1060	280	12	,	,	PUNCT
cana-1060	280	13	where	where	SCONJ
cana-1060	280	14	a	a	DET
cana-1060	280	15	percentage	percentage	NOUN
cana-1060	280	16	‘	'	PUNCT
cana-1060	280	17	σ	σ	NOUN
cana-1060	280	18	’	'	PUNCT
cana-1060	280	19	of	of	ADP
cana-1060	280	20	the	the	DET
cana-1060	280	21	purchase	purchase	NOUN
cana-1060	280	22	price	price	NOUN
cana-1060	280	23	is	be	AUX
cana-1060	280	24	borrowed	borrow	VERB
cana-1060	280	25	and	and	CCONJ
cana-1060	280	26	paid	pay	VERB
cana-1060	280	27	in	in	ADP
cana-1060	280	28	‘	'	PUNCT
cana-1060	280	29	n	n	CCONJ
cana-1060	280	30	’	'	PUNCT
cana-1060	280	31	installments	installment	NOUN
cana-1060	280	32	,	,	PUNCT
cana-1060	280	33	and	and	CCONJ
cana-1060	280	34	the	the	DET
cana-1060	280	35	remaining	remain	VERB
cana-1060	280	36	balance	balance	NOUN
cana-1060	280	37	‘	'	PUNCT
cana-1060	280	38	1−σ	1−σ	NUM
cana-1060	280	39	’	'	PUNCT
cana-1060	280	40	is	be	AUX
cana-1060	280	41	paid	pay	VERB
cana-1060	280	42	at	at	ADP
cana-1060	280	43	the	the	DET
cana-1060	280	44	time	time	NOUN
cana-1060	280	45	of	of	ADP
cana-1060	280	46	delivery	delivery	NOUN
cana-1060	280	47	,	,	PUNCT
cana-1060	280	48	derive	derive	VERB
cana-1060	280	49	the	the	DET
cana-1060	280	50	expression	expression	NOUN
cana-1060	280	51	for	for	ADP
cana-1060	280	52	interest	interest	NOUN
cana-1060	280	53	costs	cost	NOUN
cana-1060	280	54	incurred	incur	VERB
cana-1060	280	55	during	during	ADP
cana-1060	280	56	the	the	DET
cana-1060	280	57	prepayment	prepayment	NOUN
cana-1060	280	58	period	period	NOUN
cana-1060	280	59	.	.	PUNCT
cana-1060	281	1	(	(	PUNCT
cana-1060	281	2	)	)	SYM
cana-1060	281	3	1	1	NUM
cana-1060	281	4	2	2	NUM
cana-1060	281	5	lc	lc	NOUN
cana-1060	282	1	i	i	PRON
cana-1060	282	2	q	q	PROPN
cana-1060	282	3	n	n	NUM
cana-1060	282	4	l	l	NOUN
cana-1060	282	5	cp	cp	INTJ
cana-1060	282	6	n	n	CCONJ
cana-1060	282	7			PROPN
cana-1060	282	8	+	+	NUM
cana-1060	282	9	=	=	SYM
cana-1060	282	10	(	(	PUNCT
cana-1060	282	11	15	15	NUM
cana-1060	282	12	)	)	PUNCT
cana-1060	282	13	9	9	NUM
cana-1060	282	14	.	.	PUNCT
cana-1060	283	1	the	the	DET
cana-1060	283	2	discount	discount	NOUN
cana-1060	283	3	rate	rate	NOUN
cana-1060	283	4	‘	'	PUNCT
cana-1060	283	5	α	α	X
cana-1060	283	6	’	'	PUNCT
cana-1060	283	7	offered	offer	VERB
cana-1060	283	8	by	by	ADP
cana-1060	283	9	the	the	DET
cana-1060	283	10	supplier	supplier	NOUN
cana-1060	283	11	on	on	ADP
cana-1060	283	12	prepayment	prepayment	NOUN
cana-1060	283	13	of	of	ADP
cana-1060	283	14	the	the	DET
cana-1060	283	15	purchase	purchase	NOUN
cana-1060	283	16	cost	cost	NOUN
cana-1060	283	17	,	,	PUNCT
cana-1060	283	18	which	which	PRON
cana-1060	283	19	varies	vary	VERB
cana-1060	283	20	depending	depend	VERB
cana-1060	283	21	on	on	ADP
cana-1060	283	22	the	the	DET
cana-1060	283	23	number	number	NOUN
cana-1060	283	24	of	of	ADP
cana-1060	283	25	payments	payment	NOUN
cana-1060	283	26	‘	'	PUNCT
cana-1060	283	27	n	n	CCONJ
cana-1060	283	28	’	'	PUNCT
cana-1060	283	29	and	and	CCONJ
cana-1060	283	30	the	the	DET
cana-1060	283	31	maximum	maximum	ADJ
cana-1060	283	32	discount	discount	NOUN
cana-1060	283	33	rate	rate	NOUN
cana-1060	283	34	‘	'	PUNCT
cana-1060	283	35	j	j	NOUN
cana-1060	283	36	’	'	PUNCT
cana-1060	283	37	,	,	PUNCT
cana-1060	283	38	use	use	VERB
cana-1060	283	39	the	the	DET
cana-1060	283	40	following	following	ADJ
cana-1060	283	41	mathematical	mathematical	ADJ
cana-1060	283	42	formula	formula	NOUN
cana-1060	283	43	:	:	PUNCT
cana-1060	283	44	c	c	X
cana-1060	283	45	jq	jq	PROPN
cana-1060	283	46	dis	dis	PROPN
cana-1060	283	47	n	n	CCONJ
cana-1060	283	48			PROPN
cana-1060	283	49	=	=	SYM
cana-1060	283	50	(	(	PUNCT
cana-1060	283	51	16	16	NUM
cana-1060	283	52	)	)	PUNCT
cana-1060	283	53	analyzing	analyze	VERB
cana-1060	283	54	the	the	DET
cana-1060	283	55	impact	impact	NOUN
cana-1060	283	56	of	of	ADP
cana-1060	283	57	payment	payment	NOUN
cana-1060	283	58	terms	term	NOUN
cana-1060	283	59	‘	'	PUNCT
cana-1060	283	60	m	m	NOUN
cana-1060	283	61	’	'	PUNCT
cana-1060	283	62	across	across	ADP
cana-1060	283	63	different	different	ADJ
cana-1060	283	64	inventory	inventory	NOUN
cana-1060	283	65	scenarios	scenario	NOUN
cana-1060	283	66	helps	help	VERB
cana-1060	283	67	retailers	retailer	NOUN
cana-1060	283	68	make	make	VERB
cana-1060	283	69	informed	informed	ADJ
cana-1060	283	70	decisions	decision	NOUN
cana-1060	283	71	to	to	PART
cana-1060	283	72	optimize	optimize	VERB
cana-1060	283	73	revenue	revenue	NOUN
cana-1060	283	74	,	,	PUNCT
cana-1060	283	75	manage	manage	VERB
cana-1060	283	76	costs	cost	NOUN
cana-1060	283	77	,	,	PUNCT
cana-1060	283	78	and	and	CCONJ
cana-1060	283	79	enhance	enhance	VERB
cana-1060	283	80	customer	customer	NOUN
cana-1060	283	81	satisfaction	satisfaction	NOUN
cana-1060	283	82	.	.	PUNCT
cana-1060	284	1	by	by	ADP
cana-1060	284	2	understanding	understand	VERB
cana-1060	284	3	the	the	DET
cana-1060	284	4	financial	financial	ADJ
cana-1060	284	5	implications	implication	NOUN
cana-1060	284	6	of	of	ADP
cana-1060	284	7	payment	payment	NOUN
cana-1060	284	8	terms	term	NOUN
cana-1060	284	9	on	on	ADP
cana-1060	284	10	business	business	NOUN
cana-1060	284	11	performance	performance	NOUN
cana-1060	284	12	,	,	PUNCT
cana-1060	284	13	retailers	retailer	NOUN
cana-1060	284	14	can	can	AUX
cana-1060	284	15	implement	implement	VERB
cana-1060	284	16	effective	effective	ADJ
cana-1060	284	17	strategies	strategy	NOUN
cana-1060	284	18	to	to	PART
cana-1060	284	19	drive	drive	VERB
cana-1060	284	20	growth	growth	NOUN
cana-1060	284	21	and	and	CCONJ
cana-1060	284	22	profitability	profitability	NOUN
cana-1060	284	23	.	.	PUNCT
cana-1060	285	1	case	case	NOUN
cana-1060	286	1	i	i	PRON
cana-1060	286	2	:	:	PUNCT
cana-1060	286	3	m	m	VERB
cana-1060	286	4			NUM
cana-1060	286	5	td	td	NOUN
cana-1060	286	6			NUM
cana-1060	286	7	t1	t1	NOUN
cana-1060	286	8			NUM
cana-1060	286	9	t	t	X
cana-1060	286	10	the	the	DET
cana-1060	286	11	monthly	monthly	ADJ
cana-1060	286	12	interest	interest	NOUN
cana-1060	286	13	rate	rate	NOUN
cana-1060	286	14	ic	ic	PROPN
cana-1060	286	15	charged	charge	VERB
cana-1060	286	16	to	to	ADP
cana-1060	286	17	the	the	DET
cana-1060	286	18	retailer	retailer	NOUN
cana-1060	286	19	for	for	ADP
cana-1060	286	20	maintaining	maintain	VERB
cana-1060	286	21	inventory	inventory	NOUN
cana-1060	286	22	during	during	ADP
cana-1060	286	23	the	the	DET
cana-1060	286	24	settlement	settlement	NOUN
cana-1060	286	25	period	period	NOUN
cana-1060	286	26	[	[	X
cana-1060	286	27	m	m	X
cana-1060	286	28	,	,	PUNCT
cana-1060	286	29	t1	t1	PROPN
cana-1060	286	30	]	]	PUNCT
cana-1060	286	31	derives	derive	VERB
cana-1060	286	32	the	the	DET
cana-1060	286	33	formula	formula	NOUN
cana-1060	286	34	for	for	ADP
cana-1060	286	35	‘	'	PUNCT
cana-1060	286	36	ic	ic	NOUN
cana-1060	286	37	’	'	PUNCT
cana-1060	286	38	based	base	VERB
cana-1060	286	39	on	on	ADP
cana-1060	286	40	the	the	DET
cana-1060	286	41	interest	interest	NOUN
cana-1060	286	42	rate	rate	NOUN
cana-1060	286	43	applied	apply	VERB
cana-1060	286	44	to	to	ADP
cana-1060	286	45	the	the	DET
cana-1060	286	46	value	value	NOUN
cana-1060	286	47	of	of	ADP
cana-1060	286	48	inventory	inventory	NOUN
cana-1060	286	49	held	hold	VERB
cana-1060	286	50	over	over	ADP
cana-1060	286	51	this	this	DET
cana-1060	286	52	period	period	NOUN
cana-1060	286	53	.	.	PUNCT
cana-1060	287	1	let	let	VERB
cana-1060	287	2	's	us	PRON
cana-1060	287	3	formulate	formulate	VERB
cana-1060	287	4	the	the	DET
cana-1060	287	5	expression	expression	NOUN
cana-1060	287	6	for	for	ADP
cana-1060	287	7	ic1	ic1	ADJ
cana-1060	287	8	as	as	ADP
cana-1060	287	9	the	the	DET
cana-1060	287	10	yearly	yearly	ADJ
cana-1060	287	11	interest	interest	NOUN
cana-1060	287	12	rate	rate	NOUN
cana-1060	287	13	:	:	PUNCT
cana-1060	287	14	(	(	PUNCT
cana-1060	287	15	)	)	PUNCT
cana-1060	287	16	(	(	PUNCT
cana-1060	287	17	)	)	PUNCT
cana-1060	287	18	1	1	NUM
cana-1060	287	19	1	1	NUM
cana-1060	287	20	1	1	NUM
cana-1060	287	21	2	2	NUM
cana-1060	288	1	d	d	NOUN
cana-1060	288	2	d	d	PROPN
cana-1060	288	3	t	t	PROPN
cana-1060	288	4	t	t	X
cana-1060	289	1	c	c	NOUN
cana-1060	289	2	m	m	VERB
cana-1060	289	3	t	t	NOUN
cana-1060	290	1	ic	ic	INTJ
cana-1060	290	2	ci	ci	PROPN
cana-1060	291	1	i	i	PRON
cana-1060	291	2	t	t	INTJ
cana-1060	292	1	dt	dt	X
cana-1060	293	1	i	i	PRON
cana-1060	293	2	t	t	X
cana-1060	293	3	dt	dt	X
cana-1060	293	4			ADV
cana-1060	294	1			ADJ
cana-1060	294	2			NOUN
cana-1060	294	3	=	=	PUNCT
cana-1060	295	1	+	+	NOUN
cana-1060	295	2			NUM
cana-1060	295	3			NOUN
cana-1060	295	4			NUM
cana-1060	295	5			PROPN
cana-1060	295	6			PROPN
cana-1060	295	7			X
cana-1060	295	8			PUNCT
cana-1060	295	9	(	(	PUNCT
cana-1060	295	10	)	)	PUNCT
cana-1060	295	11	(	(	PUNCT
cana-1060	295	12	)	)	PUNCT
cana-1060	295	13	(	(	PUNCT
cana-1060	295	14	)	)	PUNCT
cana-1060	295	15	(	(	PUNCT
cana-1060	295	16	)	)	PUNCT
cana-1060	295	17	(	(	PUNCT
cana-1060	295	18	)	)	PUNCT
cana-1060	295	19	(	(	PUNCT
cana-1060	295	20	)	)	PUNCT
cana-1060	295	21	2	2	NUM
cana-1060	295	22	2	2	NUM
cana-1060	295	23	2	2	NUM
cana-1060	295	24	2	2	NUM
cana-1060	295	25	1	1	NUM
cana-1060	295	26	max	max	NOUN
cana-1060	295	27	1	1	NUM
cana-1060	295	28	1	1	NUM
cana-1060	295	29	11	11	NUM
cana-1060	295	30	1	1	NUM
cana-1060	295	31	2	2	NUM
cana-1060	295	32	2	2	NUM
cana-1060	295	33	d	d	NOUN
cana-1060	295	34	d	d	NOUN
cana-1060	295	35	c	c	PROPN
cana-1060	295	36	d	d	PROPN
cana-1060	295	37	d	d	X
cana-1060	295	38	a	a	DET
cana-1060	295	39	a	a	DET
cana-1060	295	40	bpt	bpt	NOUN
cana-1060	295	41	m	m	PROPN
cana-1060	295	42	t	t	PROPN
cana-1060	295	43	t	t	PROPN
cana-1060	295	44	ci	ci	PROPN
cana-1060	296	1	i	i	PRON
cana-1060	296	2	t	t	VERB
cana-1060	296	3	m	m	VERB
cana-1060	296	4	a	a	PRON
cana-1060	296	5	a	a	DET
cana-1060	296	6	bp	bp	PROPN
cana-1060	296	7	m	m	PROPN
cana-1060	296	8	t	t	PROPN
cana-1060	296	9	t	t	PROPN
cana-1060	297	1	t	t	PROPN
cana-1060	297	2	m	m	VERB
cana-1060	297	3	t	t	PROPN
cana-1060	297	4	m	m	VERB
cana-1060	297	5			NUM
cana-1060	297	6			NUM
cana-1060	297	7			NOUN
cana-1060	297	8			X
cana-1060	298	1			X
cana-1060	299	1	−	−	PROPN
cana-1060	299	2			PROPN
cana-1060	299	3			NOUN
cana-1060	299	4	−	−	NOUN
cana-1060	299	5	−	−	X
cana-1060	299	6	=	=	PUNCT
cana-1060	299	7	−	−	PROPN
cana-1060	299	8	−	−	NOUN
cana-1060	299	9	−	−	PROPN
cana-1060	300	1	+	+	CCONJ
cana-1060	300	2	+	+	NUM
cana-1060	300	3	−	−	ADP
cana-1060	300	4	−	−	ADP
cana-1060	300	5	+	+	CCONJ
cana-1060	300	6	−	−	PROPN
cana-1060	300	7			PROPN
cana-1060	300	8			NOUN
cana-1060	301	1			PROPN
cana-1060	301	2			PROPN
cana-1060	302	1			PROPN
cana-1060	302	2			VERB
cana-1060	302	3			PROPN
cana-1060	302	4			PROPN
cana-1060	302	5			PUNCT
cana-1060	302	6			PROPN
cana-1060	302	7			PROPN
cana-1060	302	8			NOUN
cana-1060	302	9	(	(	PUNCT
cana-1060	302	10	)	)	PUNCT
cana-1060	302	11	(	(	PUNCT
cana-1060	302	12	)	)	PUNCT
cana-1060	303	1	3	3	NUM
cana-1060	303	2	3	3	NUM
cana-1060	303	3	2	2	NUM
cana-1060	303	4	21	21	NUM
cana-1060	303	5	1	1	NUM
cana-1060	303	6	1	1	NUM
cana-1060	303	7	1	1	NUM
cana-1060	303	8	1	1	NUM
cana-1060	303	9	1	1	NUM
cana-1060	303	10	1	1	NUM
cana-1060	303	11	2	2	NUM
cana-1060	303	12	1	1	NUM
cana-1060	303	13	3	3	NUM
cana-1060	303	14	4	4	NUM
cana-1060	303	15	1	1	NUM
cana-1060	303	16	d	d	NOUN
cana-1060	303	17	d	d	PROPN
cana-1060	303	18	d	d	PROPN
cana-1060	303	19	t	t	PROPN
cana-1060	303	20	t	t	PROPN
cana-1060	303	21	m	m	VERB
cana-1060	303	22	t	t	PROPN
cana-1060	303	23	m	m	PROPN
cana-1060	303	24	t	t	PROPN
cana-1060	303	25	m	m	PROPN
cana-1060	303	26	t	t	NOUN
cana-1060	303	27	in	in	ADP
cana-1060	303	28	m	m	PROPN
cana-1060	303	29	t	t	NOUN
cana-1060	303	30			PROPN
cana-1060	303	31			PROPN
cana-1060	303	32			PUNCT
cana-1060	303	33			NOUN
cana-1060	303	34			PROPN
cana-1060	303	35	−	−	NOUN
cana-1060	304	1	+	+	CCONJ
cana-1060	304	2	−	−	X
cana-1060	304	3			NUM
cana-1060	304	4	+	+	CCONJ
cana-1060	304	5	−	−	PROPN
cana-1060	305	1	+	+	CCONJ
cana-1060	305	2	−	−	PROPN
cana-1060	305	3	−	−	PROPN
cana-1060	306	1	+	+	CCONJ
cana-1060	307	1	−	−	PROPN
cana-1060	307	2	+	+	NUM
cana-1060	307	3			NOUN
cana-1060	307	4			X
cana-1060	308	1			PROPN
cana-1060	309	1			NOUN
cana-1060	309	2			PROPN
cana-1060	309	3			NOUN
cana-1060	310	1			PROPN
cana-1060	311	1			PROPN
cana-1060	311	2	+	+	NOUN
cana-1060	311	3	−	−	PROPN
cana-1060	311	4			NOUN
cana-1060	311	5			NOUN
cana-1060	311	6			ADJ
cana-1060	311	7			PROPN
cana-1060	311	8			NOUN
cana-1060	311	9			PROPN
cana-1060	311	10			PROPN
cana-1060	311	11	(	(	PUNCT
cana-1060	311	12	17	17	NUM
cana-1060	311	13	)	)	PUNCT
cana-1060	311	14	the	the	DET
cana-1060	311	15	total	total	ADJ
cana-1060	311	16	interest	interest	NOUN
cana-1060	311	17	earned	earn	VERB
cana-1060	311	18	ie	ie	ADV
cana-1060	311	19	by	by	ADP
cana-1060	311	20	the	the	DET
cana-1060	311	21	retailer	retailer	NOUN
cana-1060	311	22	based	base	VERB
cana-1060	311	23	on	on	ADP
cana-1060	311	24	customer	customer	NOUN
cana-1060	311	25	demand	demand	NOUN
cana-1060	311	26	and	and	CCONJ
cana-1060	311	27	the	the	DET
cana-1060	311	28	interest	interest	NOUN
cana-1060	311	29	rate	rate	NOUN
cana-1060	311	30	,	,	PUNCT
cana-1060	311	31	‘	'	PUNCT
cana-1060	311	32	ie	ie	NOUN
cana-1060	311	33	’	'	PUNCT
cana-1060	311	34	communications	communication	NOUN
cana-1060	311	35	on	on	ADP
cana-1060	311	36	applied	apply	VERB
cana-1060	311	37	nonlinear	nonlinear	ADJ
cana-1060	311	38	analysis	analysis	NOUN
cana-1060	311	39	issn	issn	NOUN
cana-1060	311	40	:	:	PUNCT
cana-1060	311	41	1074	1074	NUM
cana-1060	311	42	-	-	PUNCT
cana-1060	311	43	133x	133x	NUM
cana-1060	311	44	vol	vol	NOUN
cana-1060	311	45	31	31	NUM
cana-1060	311	46	no	no	NOUN
cana-1060	311	47	.	.	PUNCT
cana-1060	312	1	5s	5s	NUM
cana-1060	312	2	(	(	PUNCT
cana-1060	312	3	2024	2024	NUM
cana-1060	312	4	)	)	PUNCT
cana-1060	312	5	421	421	NUM
cana-1060	312	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	312	7	during	during	ADP
cana-1060	312	8	the	the	DET
cana-1060	312	9	period	period	NOUN
cana-1060	312	10	[	[	X
cana-1060	312	11	0	0	NUM
cana-1060	312	12	,	,	PUNCT
cana-1060	312	13	m	m	VERB
cana-1060	312	14	]	]	X
cana-1060	312	15	,	,	PUNCT
cana-1060	312	16	where	where	SCONJ
cana-1060	312	17	the	the	DET
cana-1060	312	18	retailer	retailer	NOUN
cana-1060	312	19	earns	earn	VERB
cana-1060	312	20	interest	interest	NOUN
cana-1060	312	21	on	on	ADP
cana-1060	312	22	all	all	DET
cana-1060	312	23	items	item	NOUN
cana-1060	312	24	sold	sell	VERB
cana-1060	312	25	to	to	ADP
cana-1060	312	26	customers	customer	NOUN
cana-1060	312	27	,	,	PUNCT
cana-1060	312	28	derives	derive	VERB
cana-1060	312	29	a	a	DET
cana-1060	312	30	formula	formula	NOUN
cana-1060	312	31	that	that	PRON
cana-1060	312	32	considers	consider	VERB
cana-1060	312	33	the	the	DET
cana-1060	312	34	sales	sale	NOUN
cana-1060	312	35	revenue	revenue	NOUN
cana-1060	312	36	generated	generate	VERB
cana-1060	312	37	during	during	ADP
cana-1060	312	38	this	this	DET
cana-1060	312	39	period	period	NOUN
cana-1060	312	40	.	.	PUNCT
cana-1060	313	1	it	it	PRON
cana-1060	313	2	is	be	AUX
cana-1060	313	3	formulate	formulate	VERB
cana-1060	313	4	the	the	DET
cana-1060	313	5	expression	expression	NOUN
cana-1060	313	6	for	for	ADP
cana-1060	313	7	ie	ie	ADV
cana-1060	313	8	as	as	ADP
cana-1060	313	9	the	the	DET
cana-1060	313	10	total	total	ADJ
cana-1060	313	11	interest	interest	NOUN
cana-1060	313	12	earned	earn	VERB
cana-1060	313	13	:	:	PUNCT
cana-1060	313	14	(	(	PUNCT
cana-1060	313	15	)	)	PUNCT
cana-1060	313	16	(	(	PUNCT
cana-1060	313	17	)	)	PUNCT
cana-1060	313	18	(	(	PUNCT
cana-1060	313	19	)	)	PUNCT
cana-1060	313	20	(	(	PUNCT
cana-1060	313	21	)	)	PUNCT
cana-1060	313	22	(	(	PUNCT
cana-1060	313	23	)	)	PUNCT
cana-1060	313	24	1	1	NUM
cana-1060	313	25	1	1	NUM
cana-1060	313	26	0	0	NUM
cana-1060	313	27	0	0	NUM
cana-1060	313	28	0	0	NUM
cana-1060	313	29	1	1	NUM
cana-1060	313	30	1	1	NUM
cana-1060	313	31	m	m	NOUN
cana-1060	313	32	t	t	NOUN
cana-1060	313	33	m	m	NOUN
cana-1060	313	34	e	e	NOUN
cana-1060	313	35	eie	eie	PROPN
cana-1060	313	36	pi	pi	PROPN
cana-1060	314	1	d	d	PROPN
cana-1060	314	2	p	p	PROPN
cana-1060	314	3	dudt	dudt	ADJ
cana-1060	314	4	pi	pi	NOUN
cana-1060	315	1	d	d	X
cana-1060	315	2	p	p	PROPN
cana-1060	315	3	in	in	ADP
cana-1060	315	4	t	t	PROPN
cana-1060	315	5	t	t	PROPN
cana-1060	315	6	dt	dt	PROPN
cana-1060	315	7			NUM
cana-1060	315	8			ADP
cana-1060	316	1			PROPN
cana-1060	316	2	=	=	PUNCT
cana-1060	317	1	−	−	PROPN
cana-1060	318	1	+	+	CCONJ
cana-1060	318	2	+	+	CCONJ
cana-1060	318	3	−	−	ADJ
cana-1060	318	4			INTJ
cana-1060	319	1			PROPN
cana-1060	319	2			PROPN
cana-1060	319	3			X
cana-1060	320	1			X
cana-1060	320	2			PUNCT
cana-1060	320	3	(	(	PUNCT
cana-1060	320	4	)	)	PUNCT
cana-1060	320	5	(	(	PUNCT
cana-1060	320	6	)	)	PUNCT
cana-1060	320	7	(	(	PUNCT
cana-1060	320	8	)	)	PUNCT
cana-1060	320	9	2	2	NUM
cana-1060	320	10	3	3	NUM
cana-1060	320	11	2	2	NUM
cana-1060	320	12	1	1	NUM
cana-1060	320	13	1	1	NUM
cana-1060	320	14	1	1	NUM
cana-1060	320	15	(	(	PUNCT
cana-1060	320	16	1	1	NUM
cana-1060	320	17	2	2	NUM
cana-1060	320	18	2	2	NUM
cana-1060	320	19	3	3	NUM
cana-1060	320	20	e	e	NOUN
cana-1060	320	21	d	d	X
cana-1060	320	22	m	m	VERB
cana-1060	320	23	m	m	VERB
cana-1060	320	24	m	m	VERB
cana-1060	320	25	pi	pi	NOUN
cana-1060	320	26	a	a	DET
cana-1060	320	27	a	a	DET
cana-1060	320	28	bp	bp	PROPN
cana-1060	320	29	t	t	PROPN
cana-1060	320	30	m	m	PROPN
cana-1060	320	31	in	in	ADP
cana-1060	320	32	t	t	PROPN
cana-1060	320	33	t	t	PROPN
cana-1060	320	34	m	m	VERB
cana-1060	320	35			PROPN
cana-1060	320	36			PROPN
cana-1060	320	37			NUM
cana-1060	320	38			PROPN
cana-1060	320	39			PROPN
cana-1060	320	40			PROPN
cana-1060	320	41	=	=	PUNCT
cana-1060	321	1	−	−	PROPN
cana-1060	321	2	−	−	NUM
cana-1060	322	1	−	−	NOUN
cana-1060	322	2	−	−	PROPN
cana-1060	323	1	+	+	CCONJ
cana-1060	323	2	+	+	CCONJ
cana-1060	323	3	−	−	ADJ
cana-1060	323	4			VERB
cana-1060	323	5			PROPN
cana-1060	323	6			PROPN
cana-1060	323	7			PROPN
cana-1060	323	8			PROPN
cana-1060	323	9	(	(	PUNCT
cana-1060	323	10	18	18	NUM
cana-1060	323	11	)	)	PUNCT
cana-1060	323	12	therefore	therefore	ADV
cana-1060	323	13	,	,	PUNCT
cana-1060	323	14	the	the	DET
cana-1060	323	15	inventory	inventory	NOUN
cana-1060	323	16	system	system	NOUN
cana-1060	323	17	for	for	ADP
cana-1060	323	18	the	the	DET
cana-1060	323	19	total	total	ADJ
cana-1060	323	20	profit	profit	NOUN
cana-1060	323	21	per	per	ADP
cana-1060	323	22	unit	unit	NOUN
cana-1060	323	23	of	of	ADP
cana-1060	323	24	time	time	NOUN
cana-1060	323	25	for	for	ADP
cana-1060	323	26	this	this	DET
cana-1060	323	27	scenario	scenario	NOUN
cana-1060	323	28	is	be	AUX
cana-1060	323	29	defined	define	VERB
cana-1060	323	30	as	as	ADP
cana-1060	323	31	:	:	PUNCT
cana-1060	323	32	1(p	1(p	NOUN
cana-1060	323	33	,	,	PUNCT
cana-1060	323	34	t1	t1	PROPN
cana-1060	323	35	,	,	PUNCT
cana-1060	323	36	t	t	PROPN
cana-1060	323	37	)	)	PUNCT
cana-1060	323	38	=	=	PUNCT
cana-1060	323	39	(	(	PUNCT
cana-1060	323	40	sr	sr	PROPN
cana-1060	324	1	−	−	PROPN
cana-1060	324	2	oc	oc	PROPN
cana-1060	324	3	−	−	PROPN
cana-1060	324	4	ac	ac	PROPN
cana-1060	324	5	−	−	PROPN
cana-1060	324	6	dc	dc	PROPN
cana-1060	324	7	−	−	PROPN
cana-1060	324	8	hc	hc	PROPN
cana-1060	324	9	−	−	PROPN
cana-1060	324	10	sc	sc	PROPN
cana-1060	324	11	−	−	PROPN
cana-1060	324	12	lsc	lsc	PROPN
cana-1060	325	1	−	−	PROPN
cana-1060	325	2	cp	cp	INTJ
cana-1060	325	3	+	+	CCONJ
cana-1060	325	4	ie1	ie1	PROPN
cana-1060	325	5	+	+	CCONJ
cana-1060	325	6	dis	dis	PROPN
cana-1060	325	7	−	−	PROPN
cana-1060	325	8	ic1	ic1	ADJ
cana-1060	325	9	)	)	PUNCT
cana-1060	325	10	/	/	SYM
cana-1060	325	11	t	t	PROPN
cana-1060	325	12	(	(	PUNCT
cana-1060	325	13	19	19	NUM
cana-1060	325	14	)	)	PUNCT
cana-1060	325	15	case	case	NOUN
cana-1060	325	16	ii	ii	NOUN
cana-1060	325	17	:	:	PUNCT
cana-1060	325	18	td	td	PROPN
cana-1060	325	19			PROPN
cana-1060	325	20	m	m	NOUN
cana-1060	325	21			NOUN
cana-1060	325	22	t1	t1	NOUN
cana-1060	325	23			NOUN
cana-1060	325	24	t	t	VERB
cana-1060	325	25	the	the	DET
cana-1060	325	26	cost	cost	NOUN
cana-1060	325	27	of	of	ADP
cana-1060	325	28	interest	interest	NOUN
cana-1060	325	29	charges	charge	NOUN
cana-1060	325	30	for	for	ADP
cana-1060	325	31	unsold	unsold	ADJ
cana-1060	325	32	stock	stock	NOUN
cana-1060	325	33	over	over	ADP
cana-1060	325	34	the	the	DET
cana-1060	325	35	time	time	NOUN
cana-1060	325	36	[	[	X
cana-1060	325	37	m	m	X
cana-1060	325	38	,	,	PUNCT
cana-1060	325	39	t1	t1	PROPN
cana-1060	325	40	]	]	X
cana-1060	325	41	is	be	AUX
cana-1060	325	42	illustrated	illustrate	VERB
cana-1060	325	43	as	as	SCONJ
cana-1060	325	44	follows	follow	VERB
cana-1060	325	45	(	(	PUNCT
cana-1060	325	46	)	)	PUNCT
cana-1060	325	47	1	1	NUM
cana-1060	325	48	12	12	NUM
cana-1060	325	49	2	2	NUM
cana-1060	325	50	t	t	NOUN
cana-1060	325	51	c	c	NOUN
cana-1060	325	52	m	m	VERB
cana-1060	326	1	ic	ic	INTJ
cana-1060	326	2	ci	ci	PROPN
cana-1060	327	1	i	i	PROPN
cana-1060	327	2	t	t	PROPN
cana-1060	327	3	dt=	dt=	VERB
cana-1060	327	4			PUNCT
cana-1060	327	5	(	(	PUNCT
cana-1060	327	6	)	)	PUNCT
cana-1060	327	7	(	(	PUNCT
cana-1060	327	8	)	)	PUNCT
cana-1060	327	9	(	(	PUNCT
cana-1060	327	10	)	)	PUNCT
cana-1060	327	11	(	(	PUNCT
cana-1060	327	12	)	)	PUNCT
cana-1060	327	13	2	2	NUM
cana-1060	327	14	2	2	NUM
cana-1060	327	15	3	3	NUM
cana-1060	327	16	3	3	NUM
cana-1060	327	17	1	1	NUM
cana-1060	327	18	1	1	NUM
cana-1060	327	19	1	1	NUM
cana-1060	327	20	1	1	NUM
cana-1060	327	21	11	11	NUM
cana-1060	327	22	1	1	NUM
cana-1060	327	23	2	2	NUM
cana-1060	327	24	3	3	NUM
cana-1060	327	25	cci	cci	NOUN
cana-1060	327	26	a	a	DET
cana-1060	327	27	a	a	DET
cana-1060	327	28	bp	bp	PROPN
cana-1060	327	29	t	t	PROPN
cana-1060	327	30	m	m	PROPN
cana-1060	327	31	t	t	PROPN
cana-1060	327	32	m	m	NOUN
cana-1060	327	33	m	m	VERB
cana-1060	327	34	t	t	PROPN
cana-1060	327	35	t	t	PROPN
cana-1060	327	36	m	m	VERB
cana-1060	327	37	m	m	VERB
cana-1060	327	38	t	t	NOUN
cana-1060	327	39	m	m	NOUN
cana-1060	327	40			NUM
cana-1060	327	41			PROPN
cana-1060	327	42	−	−	ADJ
cana-1060	327	43			NOUN
cana-1060	327	44			PROPN
cana-1060	327	45			NOUN
cana-1060	327	46	−	−	NOUN
cana-1060	327	47	−	−	PROPN
cana-1060	328	1	=	=	PUNCT
cana-1060	329	1	+	+	NUM
cana-1060	329	2	−	−	PROPN
cana-1060	329	3	−	−	PROPN
cana-1060	330	1	+	+	CCONJ
cana-1060	331	1	−	−	PROPN
cana-1060	331	2	+	+	NOUN
cana-1060	331	3			PROPN
cana-1060	331	4			NOUN
cana-1060	332	1			PROPN
cana-1060	333	1			PROPN
cana-1060	334	1			PROPN
cana-1060	334	2			NOUN
cana-1060	335	1			PROPN
cana-1060	335	2			PROPN
cana-1060	335	3			PROPN
cana-1060	335	4			NOUN
cana-1060	335	5			PROPN
cana-1060	335	6	(	(	PUNCT
cana-1060	335	7	)	)	PUNCT
cana-1060	335	8	(	(	PUNCT
cana-1060	335	9	)	)	PUNCT
cana-1060	335	10	2	2	NUM
cana-1060	335	11	2	2	NUM
cana-1060	335	12	1	1	NUM
cana-1060	335	13	1	1	NUM
cana-1060	335	14	1	1	NUM
cana-1060	335	15	1	1	NUM
cana-1060	335	16	1	1	NUM
cana-1060	335	17	1	1	NUM
cana-1060	335	18	2	2	NUM
cana-1060	335	19	1	1	NUM
cana-1060	335	20	4	4	NUM
cana-1060	335	21	1	1	NUM
cana-1060	335	22	m	m	NOUN
cana-1060	335	23	t	t	NOUN
cana-1060	335	24	m	m	PROPN
cana-1060	335	25	t	t	PROPN
cana-1060	335	26	m	m	NOUN
cana-1060	335	27	m	m	VERB
cana-1060	335	28	in	in	ADP
cana-1060	335	29	m	m	PROPN
cana-1060	335	30	m	m	VERB
cana-1060	335	31			PROPN
cana-1060	335	32	+	+	VERB
cana-1060	335	33	−	−	PRON
cana-1060	335	34			PROPN
cana-1060	335	35			PROPN
cana-1060	335	36	−	−	PROPN
cana-1060	336	1	+	+	CCONJ
cana-1060	336	2	−	−	PROPN
cana-1060	336	3	−	−	PROPN
cana-1060	337	1	+	+	CCONJ
cana-1060	337	2	−	−	PROPN
cana-1060	337	3	+	+	NUM
cana-1060	337	4			NOUN
cana-1060	338	1			NOUN
cana-1060	338	2			X
cana-1060	338	3	+	+	PROPN
cana-1060	338	4	−	−	NUM
cana-1060	338	5			NOUN
cana-1060	338	6			NOUN
cana-1060	338	7			PROPN
cana-1060	338	8	(	(	PUNCT
cana-1060	338	9	20	20	NUM
cana-1060	338	10	)	)	PUNCT
cana-1060	338	11	the	the	DET
cana-1060	338	12	interest	interest	NOUN
cana-1060	338	13	earned	earn	VERB
cana-1060	338	14	for	for	ADP
cana-1060	338	15	this	this	DET
cana-1060	338	16	scenario	scenario	NOUN
cana-1060	338	17	is	be	AUX
cana-1060	338	18	(	(	PUNCT
cana-1060	338	19	)	)	PUNCT
cana-1060	338	20	(	(	PUNCT
cana-1060	338	21	)	)	PUNCT
cana-1060	338	22	(	(	PUNCT
cana-1060	338	23	)	)	PUNCT
cana-1060	338	24	(	(	PUNCT
cana-1060	338	25	)	)	PUNCT
cana-1060	338	26	(	(	PUNCT
cana-1060	338	27	)	)	PUNCT
cana-1060	338	28	2	2	NUM
cana-1060	338	29	1	1	NUM
cana-1060	338	30	1	1	NUM
cana-1060	338	31	0	0	NUM
cana-1060	338	32	0	0	NUM
cana-1060	338	33	0	0	NUM
cana-1060	338	34	1	1	NUM
cana-1060	338	35	1	1	NUM
cana-1060	338	36	m	m	NOUN
cana-1060	338	37	t	t	NOUN
cana-1060	338	38	m	m	NOUN
cana-1060	338	39	e	e	NOUN
cana-1060	338	40	eie	eie	PROPN
cana-1060	338	41	ie	ie	ADV
cana-1060	338	42	pi	pi	PROPN
cana-1060	339	1	d	d	PROPN
cana-1060	339	2	p	p	NOUN
cana-1060	339	3	dudt	dudt	ADJ
cana-1060	339	4	pi	pi	NOUN
cana-1060	340	1	d	d	X
cana-1060	340	2	p	p	PROPN
cana-1060	340	3	in	in	ADP
cana-1060	340	4	t	t	PROPN
cana-1060	340	5	t	t	PROPN
cana-1060	340	6	dt	dt	PROPN
cana-1060	340	7			NUM
cana-1060	340	8			ADP
cana-1060	340	9			PROPN
cana-1060	340	10	=	=	PUNCT
cana-1060	340	11	=	=	PUNCT
cana-1060	341	1	−	−	PROPN
cana-1060	342	1	+	+	CCONJ
cana-1060	342	2	+	+	CCONJ
cana-1060	342	3	−	−	ADJ
cana-1060	343	1			INTJ
cana-1060	343	2			PROPN
cana-1060	344	1			PROPN
cana-1060	344	2			X
cana-1060	344	3			X
cana-1060	344	4			PUNCT
cana-1060	344	5	(	(	PUNCT
cana-1060	344	6	)	)	PUNCT
cana-1060	344	7	(	(	PUNCT
cana-1060	344	8	)	)	PUNCT
cana-1060	344	9	(	(	PUNCT
cana-1060	344	10	)	)	PUNCT
cana-1060	344	11	2	2	NUM
cana-1060	344	12	3	3	NUM
cana-1060	344	13	2	2	NUM
cana-1060	344	14	1	1	NUM
cana-1060	344	15	1	1	NUM
cana-1060	344	16	1	1	NUM
cana-1060	344	17	(	(	PUNCT
cana-1060	344	18	1	1	NUM
cana-1060	344	19	2	2	NUM
cana-1060	344	20	2	2	NUM
cana-1060	344	21	3	3	NUM
cana-1060	344	22	e	e	NOUN
cana-1060	344	23	d	d	X
cana-1060	344	24	m	m	VERB
cana-1060	344	25	m	m	VERB
cana-1060	344	26	m	m	VERB
cana-1060	344	27	pi	pi	NOUN
cana-1060	344	28	a	a	DET
cana-1060	344	29	a	a	DET
cana-1060	344	30	bp	bp	PROPN
cana-1060	344	31	t	t	PROPN
cana-1060	344	32	m	m	PROPN
cana-1060	344	33	in	in	ADP
cana-1060	344	34	t	t	PROPN
cana-1060	344	35	t	t	PROPN
cana-1060	344	36	m	m	VERB
cana-1060	344	37			PROPN
cana-1060	344	38			PROPN
cana-1060	344	39			NUM
cana-1060	344	40			PROPN
cana-1060	344	41			PROPN
cana-1060	344	42			PROPN
cana-1060	344	43	=	=	PUNCT
cana-1060	345	1	−	−	PROPN
cana-1060	345	2	−	−	NUM
cana-1060	346	1	−	−	NOUN
cana-1060	346	2	−	−	PROPN
cana-1060	347	1	+	+	CCONJ
cana-1060	347	2	+	+	CCONJ
cana-1060	347	3	−	−	ADJ
cana-1060	347	4			VERB
cana-1060	347	5			PROPN
cana-1060	347	6			PROPN
cana-1060	347	7			PROPN
cana-1060	347	8			PROPN
cana-1060	347	9	(	(	PUNCT
cana-1060	347	10	21	21	NUM
cana-1060	347	11	)	)	PUNCT
cana-1060	347	12	thus	thus	ADV
cana-1060	347	13	,	,	PUNCT
cana-1060	347	14	the	the	DET
cana-1060	347	15	inventory	inventory	NOUN
cana-1060	347	16	system	system	NOUN
cana-1060	347	17	for	for	ADP
cana-1060	347	18	the	the	DET
cana-1060	347	19	total	total	ADJ
cana-1060	347	20	profit	profit	NOUN
cana-1060	347	21	per	per	ADP
cana-1060	347	22	unit	unit	NOUN
cana-1060	347	23	of	of	ADP
cana-1060	347	24	time	time	NOUN
cana-1060	347	25	for	for	ADP
cana-1060	347	26	this	this	DET
cana-1060	347	27	scenario	scenario	NOUN
cana-1060	347	28	is	be	AUX
cana-1060	347	29	represented	represent	VERB
cana-1060	347	30	as	as	ADP
cana-1060	347	31	:	:	PUNCT
cana-1060	347	32	2(p	2(p	NUM
cana-1060	347	33	,	,	PUNCT
cana-1060	347	34	t1	t1	PROPN
cana-1060	347	35	,	,	PUNCT
cana-1060	347	36	t	t	PROPN
cana-1060	347	37	)	)	PUNCT
cana-1060	347	38	=	=	PUNCT
cana-1060	347	39	(	(	PUNCT
cana-1060	347	40	sr	sr	PROPN
cana-1060	348	1	−	−	PROPN
cana-1060	348	2	oc	oc	PROPN
cana-1060	348	3	−	−	PROPN
cana-1060	348	4	ac	ac	PROPN
cana-1060	348	5	−	−	PROPN
cana-1060	348	6	dc	dc	PROPN
cana-1060	348	7	−	−	PROPN
cana-1060	348	8	hc	hc	PROPN
cana-1060	348	9	−	−	PROPN
cana-1060	348	10	sc	sc	PROPN
cana-1060	348	11	−	−	PROPN
cana-1060	348	12	lsc	lsc	PROPN
cana-1060	348	13	−	−	PROPN
cana-1060	349	1	cp	cp	INTJ
cana-1060	350	1	+	+	CCONJ
cana-1060	350	2	ie2	ie2	PROPN
cana-1060	350	3	+	+	CCONJ
cana-1060	350	4	dis	dis	PROPN
cana-1060	350	5	−	−	PROPN
cana-1060	350	6	ic2	ic2	PROPN
cana-1060	350	7	)	)	PUNCT
cana-1060	350	8	/	/	SYM
cana-1060	350	9	t	t	PROPN
cana-1060	350	10	(	(	PUNCT
cana-1060	350	11	22	22	NUM
cana-1060	350	12	)	)	PUNCT
cana-1060	350	13	case	case	NOUN
cana-1060	350	14	iii	iii	NOUN
cana-1060	350	15	:	:	PUNCT
cana-1060	350	16	td	td	ADJ
cana-1060	350	17			NUM
cana-1060	350	18	t1	t1	NUM
cana-1060	350	19	m	m	VERB
cana-1060	350	20			NOUN
cana-1060	350	21	t	t	NOUN
cana-1060	350	22	after	after	ADP
cana-1060	350	23	m	m	PROPN
cana-1060	350	24	,	,	PUNCT
cana-1060	350	25	there	there	PRON
cana-1060	350	26	is	be	VERB
cana-1060	350	27	no	no	DET
cana-1060	350	28	positive	positive	ADJ
cana-1060	350	29	stock	stock	NOUN
cana-1060	350	30	remaining	remain	VERB
cana-1060	350	31	;	;	PUNCT
cana-1060	350	32	consequently	consequently	ADV
cana-1060	350	33	,	,	PUNCT
cana-1060	350	34	the	the	DET
cana-1060	350	35	interest	interest	NOUN
cana-1060	350	36	charged	charge	VERB
cana-1060	350	37	as	as	ADP
cana-1060	350	38	:	:	PUNCT
cana-1060	350	39	ic3	ic3	PROPN
cana-1060	350	40	=	=	SYM
cana-1060	350	41	0	0	PROPN
cana-1060	350	42	(	(	PUNCT
cana-1060	350	43	23	23	NUM
cana-1060	350	44	)	)	PUNCT
cana-1060	350	45	the	the	DET
cana-1060	350	46	retailer	retailer	NOUN
cana-1060	350	47	accrues	accrue	VERB
cana-1060	350	48	additional	additional	ADJ
cana-1060	350	49	interest	interest	NOUN
cana-1060	350	50	on	on	ADP
cana-1060	350	51	inventory	inventory	NOUN
cana-1060	350	52	from	from	ADP
cana-1060	350	53	m	m	PROPN
cana-1060	350	54	to	to	ADP
cana-1060	350	55	t	t	PROPN
cana-1060	350	56	,	,	PUNCT
cana-1060	350	57	and	and	CCONJ
cana-1060	350	58	the	the	DET
cana-1060	350	59	interest	interest	NOUN
cana-1060	350	60	received	receive	VERB
cana-1060	350	61	on	on	ADP
cana-1060	350	62	sold	sell	VERB
cana-1060	350	63	products	product	NOUN
cana-1060	350	64	goes	go	VERB
cana-1060	350	65	up	up	ADP
cana-1060	350	66	to	to	ADP
cana-1060	350	67	m.	m.	NOUN
cana-1060	350	68	(	(	PUNCT
cana-1060	350	69	)	)	PUNCT
cana-1060	350	70	(	(	PUNCT
cana-1060	350	71	)	)	PUNCT
cana-1060	350	72	(	(	PUNCT
cana-1060	350	73	)	)	PUNCT
cana-1060	350	74	(	(	PUNCT
cana-1060	350	75	)	)	PUNCT
cana-1060	350	76	(	(	PUNCT
cana-1060	350	77	)	)	PUNCT
cana-1060	350	78	2	2	NUM
cana-1060	350	79	1	1	NUM
cana-1060	350	80	3	3	NUM
cana-1060	350	81	1	1	NUM
cana-1060	350	82	1	1	NUM
cana-1060	350	83	1	1	NUM
cana-1060	350	84	1	1	NUM
cana-1060	350	85	2	2	NUM
cana-1060	350	86	e	e	NOUN
cana-1060	350	87	min	min	PROPN
cana-1060	350	88	t	t	PROPN
cana-1060	350	89	tt	tt	PROPN
cana-1060	350	90	ie	ie	ADV
cana-1060	350	91	pi	pi	PROPN
cana-1060	350	92	a	a	DET
cana-1060	350	93	a	a	DET
cana-1060	350	94	bp	bp	PROPN
cana-1060	350	95	m	m	PROPN
cana-1060	350	96	t	t	NOUN
cana-1060	350	97	t	t	NUM
cana-1060	350	98			NUM
cana-1060	350	99			PROPN
cana-1060	350	100			NUM
cana-1060	350	101			PROPN
cana-1060	350	102	+	+	NOUN
cana-1060	350	103	−	−	PROPN
cana-1060	350	104	=	=	SYM
cana-1060	351	1	−	−	PROPN
cana-1060	351	2	−	−	PROPN
cana-1060	352	1	+	+	CCONJ
cana-1060	352	2	−	−	PROPN
cana-1060	352	3	+	+	ADJ
cana-1060	352	4			NOUN
cana-1060	352	5			NOUN
cana-1060	352	6			NOUN
cana-1060	352	7			PROPN
cana-1060	352	8			PROPN
cana-1060	352	9	(	(	PUNCT
cana-1060	352	10	24	24	NUM
cana-1060	352	11	)	)	PUNCT
cana-1060	352	12	communications	communication	NOUN
cana-1060	352	13	on	on	ADP
cana-1060	352	14	applied	apply	VERB
cana-1060	352	15	nonlinear	nonlinear	ADJ
cana-1060	352	16	analysis	analysis	NOUN
cana-1060	352	17	issn	issn	NOUN
cana-1060	352	18	:	:	PUNCT
cana-1060	352	19	1074	1074	NUM
cana-1060	352	20	-	-	PUNCT
cana-1060	352	21	133x	133x	NUM
cana-1060	352	22	vol	vol	NOUN
cana-1060	352	23	31	31	NUM
cana-1060	352	24	no	no	NOUN
cana-1060	352	25	.	.	PUNCT
cana-1060	353	1	5s	5s	NUM
cana-1060	353	2	(	(	PUNCT
cana-1060	353	3	2024	2024	NUM
cana-1060	353	4	)	)	PUNCT
cana-1060	353	5	422	422	NUM
cana-1060	353	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	353	7	hence	hence	ADV
cana-1060	353	8	,	,	PUNCT
cana-1060	353	9	the	the	DET
cana-1060	353	10	inventory	inventory	NOUN
cana-1060	353	11	system	system	NOUN
cana-1060	353	12	for	for	ADP
cana-1060	353	13	the	the	DET
cana-1060	353	14	total	total	ADJ
cana-1060	353	15	profit	profit	NOUN
cana-1060	353	16	per	per	ADP
cana-1060	353	17	unit	unit	NOUN
cana-1060	353	18	of	of	ADP
cana-1060	353	19	time	time	NOUN
cana-1060	353	20	for	for	ADP
cana-1060	353	21	this	this	DET
cana-1060	353	22	scenario	scenario	NOUN
cana-1060	353	23	is	be	AUX
cana-1060	353	24	given	give	VERB
cana-1060	353	25	as	as	ADP
cana-1060	353	26	:	:	PUNCT
cana-1060	353	27	3(p	3(p	NOUN
cana-1060	353	28	,	,	PUNCT
cana-1060	353	29	t1	t1	PROPN
cana-1060	353	30	,	,	PUNCT
cana-1060	353	31	t	t	PROPN
cana-1060	353	32	)	)	PUNCT
cana-1060	353	33	=	=	PUNCT
cana-1060	353	34	(	(	PUNCT
cana-1060	353	35	sr	sr	PROPN
cana-1060	354	1	−	−	PROPN
cana-1060	354	2	oc	oc	PROPN
cana-1060	354	3	−	−	PROPN
cana-1060	354	4	ac	ac	PROPN
cana-1060	354	5	−	−	PROPN
cana-1060	354	6	dc	dc	PROPN
cana-1060	354	7	−	−	PROPN
cana-1060	354	8	hc	hc	PROPN
cana-1060	354	9	−	−	PROPN
cana-1060	354	10	sc	sc	PROPN
cana-1060	354	11	−	−	PROPN
cana-1060	354	12	lsc	lsc	PROPN
cana-1060	355	1	−	−	PROPN
cana-1060	355	2	cp	cp	INTJ
cana-1060	356	1	+	+	NUM
cana-1060	356	2	ie3	ie3	NOUN
cana-1060	356	3	+	+	CCONJ
cana-1060	356	4	dis	dis	PROPN
cana-1060	357	1	−	−	PROPN
cana-1060	357	2	ic3	ic3	PROPN
cana-1060	357	3	)	)	PUNCT
cana-1060	357	4	/	/	SYM
cana-1060	358	1	t	t	PROPN
cana-1060	358	2	(	(	PUNCT
cana-1060	358	3	25	25	NUM
cana-1060	358	4	)	)	PUNCT
cana-1060	358	5	the	the	DET
cana-1060	358	6	optimal	optimal	ADJ
cana-1060	358	7	total	total	ADJ
cana-1060	358	8	profit	profit	NOUN
cana-1060	358	9	function	function	NOUN
cana-1060	358	10	for	for	ADP
cana-1060	358	11	this	this	DET
cana-1060	358	12	inventory	inventory	NOUN
cana-1060	358	13	system	system	NOUN
cana-1060	358	14	is	be	AUX
cana-1060	358	15	expressed	express	VERB
cana-1060	358	16	as	as	ADP
cana-1060	358	17	:	:	PUNCT
cana-1060	358	18	1	1	NUM
cana-1060	358	19	1	1	NUM
cana-1060	358	20	1	1	NUM
cana-1060	358	21	1	1	NUM
cana-1060	358	22	2	2	NUM
cana-1060	358	23	1	1	NUM
cana-1060	358	24	1	1	NUM
cana-1060	358	25	3	3	NUM
cana-1060	358	26	1	1	NUM
cana-1060	358	27	1	1	NUM
cana-1060	358	28	(	(	PUNCT
cana-1060	358	29	,	,	PUNCT
cana-1060	358	30	,	,	PUNCT
cana-1060	358	31	)	)	PUNCT
cana-1060	358	32	,	,	PUNCT
cana-1060	358	33	0	0	NUM
cana-1060	358	34	(	(	PUNCT
cana-1060	358	35	,	,	PUNCT
cana-1060	358	36	,	,	PUNCT
cana-1060	358	37	)	)	PUNCT
cana-1060	358	38	(	(	PUNCT
cana-1060	358	39	,	,	PUNCT
cana-1060	358	40	,	,	PUNCT
cana-1060	358	41	)	)	PUNCT
cana-1060	358	42	,	,	PUNCT
cana-1060	358	43	0	0	NUM
cana-1060	358	44	(	(	PUNCT
cana-1060	358	45	,	,	PUNCT
cana-1060	358	46	,	,	PUNCT
cana-1060	358	47	)	)	PUNCT
cana-1060	358	48	,	,	PUNCT
cana-1060	358	49	0	0	PUNCT
cana-1060	359	1	d	d	PUNCT
cana-1060	359	2	d	d	PROPN
cana-1060	359	3	d	d	X
cana-1060	359	4	p	p	PROPN
cana-1060	359	5	t	t	PROPN
cana-1060	359	6	t	t	PROPN
cana-1060	359	7	m	m	VERB
cana-1060	359	8	t	t	PROPN
cana-1060	359	9	t	t	PROPN
cana-1060	359	10	t	t	PROPN
cana-1060	359	11	p	p	PROPN
cana-1060	359	12	t	t	PROPN
cana-1060	359	13	t	t	PROPN
cana-1060	359	14	p	p	PROPN
cana-1060	359	15	t	t	PROPN
cana-1060	359	16	t	t	PROPN
cana-1060	359	17	t	t	PROPN
cana-1060	359	18	m	m	PROPN
cana-1060	359	19	t	t	PROPN
cana-1060	359	20	t	t	PROPN
cana-1060	359	21	p	p	PROPN
cana-1060	359	22	t	t	PROPN
cana-1060	359	23	t	t	PROPN
cana-1060	359	24	t	t	PROPN
cana-1060	359	25	t	t	PROPN
cana-1060	359	26	m	m	VERB
cana-1060	359	27	t	t	PROPN
cana-1060	359	28			PROPN
cana-1060	359	29			PROPN
cana-1060	359	30			PROPN
cana-1060	359	31			PROPN
cana-1060	359	32			NOUN
cana-1060	360	1			NUM
cana-1060	360	2			PROPN
cana-1060	360	3	=	=	PUNCT
cana-1060	361	1			PROPN
cana-1060	361	2			PROPN
cana-1060	361	3			PROPN
cana-1060	361	4			PROPN
cana-1060	361	5			PRON
cana-1060	361	6			PROPN
cana-1060	361	7			PROPN
cana-1060	361	8			PROPN
cana-1060	361	9			PROPN
cana-1060	361	10			PROPN
cana-1060	361	11	(	(	PUNCT
cana-1060	361	12	26	26	NUM
cana-1060	361	13	)	)	PUNCT
cana-1060	361	14	4.1	4.1	NUM
cana-1060	361	15	solution	solution	NOUN
cana-1060	361	16	procedure	procedure	NOUN
cana-1060	361	17	the	the	DET
cana-1060	361	18	main	main	ADJ
cana-1060	361	19	objective	objective	NOUN
cana-1060	361	20	of	of	ADP
cana-1060	361	21	the	the	DET
cana-1060	361	22	presented	present	VERB
cana-1060	361	23	model	model	NOUN
cana-1060	361	24	in	in	ADP
cana-1060	361	25	above	above	ADP
cana-1060	361	26	section	section	NOUN
cana-1060	361	27	to	to	PART
cana-1060	361	28	maximize	maximize	VERB
cana-1060	361	29	the	the	DET
cana-1060	361	30	total	total	ADJ
cana-1060	361	31	cost	cost	NOUN
cana-1060	361	32	for	for	ADP
cana-1060	361	33	the	the	DET
cana-1060	361	34	retailer	retailer	NOUN
cana-1060	361	35	;	;	PUNCT
cana-1060	361	36	it	it	PRON
cana-1060	361	37	is	be	AUX
cana-1060	361	38	necessary	necessary	ADJ
cana-1060	361	39	to	to	PART
cana-1060	361	40	found	found	VERB
cana-1060	361	41	out	out	ADP
cana-1060	361	42	the	the	DET
cana-1060	361	43	value	value	NOUN
cana-1060	361	44	of	of	ADP
cana-1060	361	45	p	p	X
cana-1060	361	46	,	,	PUNCT
cana-1060	361	47	t1	t1	PROPN
cana-1060	361	48	,	,	PUNCT
cana-1060	361	49	and	and	CCONJ
cana-1060	361	50	t	t	PROPN
cana-1060	361	51	,	,	PUNCT
cana-1060	361	52	which	which	PRON
cana-1060	361	53	maximizes	maximize	VERB
cana-1060	361	54	the	the	DET
cana-1060	361	55	cost	cost	NOUN
cana-1060	361	56	.	.	PUNCT
cana-1060	362	1	directly	directly	ADV
cana-1060	362	2	obtaining	obtain	VERB
cana-1060	362	3	the	the	DET
cana-1060	362	4	required	require	VERB
cana-1060	362	5	optimal	optimal	ADJ
cana-1060	362	6	values	value	NOUN
cana-1060	362	7	of	of	ADP
cana-1060	362	8	the	the	DET
cana-1060	362	9	total	total	ADJ
cana-1060	362	10	profit	profit	NOUN
cana-1060	362	11	function	function	NOUN
cana-1060	362	12	is	be	AUX
cana-1060	362	13	impossible	impossible	ADJ
cana-1060	362	14	because	because	SCONJ
cana-1060	362	15	all	all	DET
cana-1060	362	16	the	the	DET
cana-1060	362	17	total	total	ADJ
cana-1060	362	18	profit	profit	NOUN
cana-1060	362	19	functions	function	NOUN
cana-1060	362	20	are	be	AUX
cana-1060	362	21	highly	highly	ADV
cana-1060	362	22	nonlinear	nonlinear	ADJ
cana-1060	362	23	.	.	PUNCT
cana-1060	363	1	initialize	initialize	VERB
cana-1060	363	2	all	all	DET
cana-1060	363	3	the	the	DET
cana-1060	363	4	needed	need	VERB
cana-1060	363	5	inputs	input	NOUN
cana-1060	363	6	for	for	ADP
cana-1060	363	7	the	the	DET
cana-1060	363	8	total	total	ADJ
cana-1060	363	9	profit	profit	NOUN
cana-1060	363	10	cost	cost	NOUN
cana-1060	363	11	values	value	NOUN
cana-1060	363	12	πi(p	πi(p	NUM
cana-1060	363	13	,	,	PUNCT
cana-1060	363	14	t1	t1	PROPN
cana-1060	363	15	,	,	PUNCT
cana-1060	363	16	t	t	PROPN
cana-1060	363	17	)	)	PUNCT
cana-1060	363	18	for	for	ADP
cana-1060	363	19	i	i	PROPN
cana-1060	363	20	=	=	NOUN
cana-1060	363	21	1	1	NUM
cana-1060	363	22	,	,	PUNCT
cana-1060	363	23	2	2	NUM
cana-1060	363	24	,	,	PUNCT
cana-1060	363	25	3	3	NUM
cana-1060	363	26	without	without	ADP
cana-1060	363	27	decision	decision	NOUN
cana-1060	363	28	variables	variable	NOUN
cana-1060	363	29	,	,	PUNCT
cana-1060	363	30	using	use	VERB
cana-1060	363	31	matlab	matlab	PROPN
cana-1060	363	32	solver	solver	VERB
cana-1060	363	33	to	to	PART
cana-1060	363	34	obtain	obtain	VERB
cana-1060	363	35	the	the	DET
cana-1060	363	36	optimization	optimization	NOUN
cana-1060	363	37	of	of	ADP
cana-1060	363	38	the	the	DET
cana-1060	363	39	total	total	ADJ
cana-1060	363	40	profit	profit	NOUN
cana-1060	363	41	function	function	NOUN
cana-1060	363	42	πi(p	πi(p	NOUN
cana-1060	363	43	,	,	PUNCT
cana-1060	363	44	t1	t1	PROPN
cana-1060	363	45	,	,	PUNCT
cana-1060	363	46	t	t	PROPN
cana-1060	363	47	)	)	PUNCT
cana-1060	363	48	for	for	ADP
cana-1060	363	49	i	i	PROPN
cana-1060	363	50	=	=	NOUN
cana-1060	363	51	1	1	NUM
cana-1060	363	52	,	,	PUNCT
cana-1060	363	53	2	2	NUM
cana-1060	363	54	,	,	PUNCT
cana-1060	363	55	3	3	NUM
cana-1060	363	56	with	with	ADP
cana-1060	363	57	the	the	DET
cana-1060	363	58	constraints	constraint	NOUN
cana-1060	363	59	and	and	CCONJ
cana-1060	363	60	to	to	PART
cana-1060	363	61	get	get	VERB
cana-1060	363	62	optimal	optimal	ADJ
cana-1060	363	63	values	value	NOUN
cana-1060	363	64	of	of	ADP
cana-1060	363	65	p	p	X
cana-1060	363	66	,	,	PUNCT
cana-1060	363	67	t1	t1	NOUN
cana-1060	363	68	and	and	CCONJ
cana-1060	363	69	t.	t.	NOUN
cana-1060	363	70	to	to	PART
cana-1060	363	71	obtain	obtain	VERB
cana-1060	363	72	the	the	DET
cana-1060	363	73	optimal	optimal	ADJ
cana-1060	363	74	values	value	NOUN
cana-1060	363	75	of	of	ADP
cana-1060	363	76	the	the	DET
cana-1060	363	77	decision	decision	NOUN
cana-1060	363	78	variables	variable	VERB
cana-1060	363	79	p	p	X
cana-1060	363	80	,	,	PUNCT
cana-1060	363	81	t1	t1	NOUN
cana-1060	363	82	and	and	CCONJ
cana-1060	363	83	t	t	PROPN
cana-1060	363	84	,	,	PUNCT
cana-1060	363	85	also	also	ADV
cana-1060	363	86	find	find	VERB
cana-1060	363	87	optimal	optimal	ADJ
cana-1060	363	88	order	order	NOUN
cana-1060	363	89	quantity	quantity	NOUN
cana-1060	363	90	and	and	CCONJ
cana-1060	363	91	optimal	optimal	ADJ
cana-1060	363	92	profit	profit	NOUN
cana-1060	363	93	cost	cost	NOUN
cana-1060	363	94	are	be	AUX
cana-1060	363	95	found	find	VERB
cana-1060	363	96	using	using	AUX
cana-1060	363	97	obtained	obtain	VERB
cana-1060	363	98	optimal	optimal	ADJ
cana-1060	363	99	values	value	NOUN
cana-1060	363	100	.	.	PUNCT
cana-1060	364	1	to	to	PART
cana-1060	364	2	prove	prove	VERB
cana-1060	364	3	that	that	SCONJ
cana-1060	364	4	the	the	DET
cana-1060	364	5	total	total	ADJ
cana-1060	364	6	profit	profit	NOUN
cana-1060	364	7	function	function	NOUN
cana-1060	364	8	πi(p	πi(p	NOUN
cana-1060	364	9	,	,	PUNCT
cana-1060	364	10	t1	t1	PROPN
cana-1060	364	11	,	,	PUNCT
cana-1060	364	12	t	t	PROPN
cana-1060	364	13	)	)	PUNCT
cana-1060	364	14	for	for	ADP
cana-1060	364	15	i	i	PROPN
cana-1060	364	16	=	=	NOUN
cana-1060	364	17	1	1	NUM
cana-1060	364	18	,	,	PUNCT
cana-1060	364	19	2	2	NUM
cana-1060	364	20	,	,	PUNCT
cana-1060	364	21	3	3	NUM
cana-1060	364	22	is	be	AUX
cana-1060	364	23	concave	concave	VERB
cana-1060	364	24	,	,	PUNCT
cana-1060	364	25	we	we	PRON
cana-1060	364	26	need	need	VERB
cana-1060	364	27	to	to	PART
cana-1060	364	28	verify	verify	VERB
cana-1060	364	29	that	that	SCONJ
cana-1060	364	30	the	the	DET
cana-1060	364	31	second	second	ADJ
cana-1060	364	32	derivatives	derivative	NOUN
cana-1060	364	33	of	of	ADP
cana-1060	364	34	πi(p	πi(p	NOUN
cana-1060	364	35	,	,	PUNCT
cana-1060	364	36	t1	t1	PROPN
cana-1060	364	37	,	,	PUNCT
cana-1060	364	38	t	t	PROPN
cana-1060	364	39	)	)	PUNCT
cana-1060	364	40	with	with	ADP
cana-1060	364	41	respect	respect	NOUN
cana-1060	364	42	to	to	ADP
cana-1060	364	43	p	p	PRON
cana-1060	364	44	,	,	PUNCT
cana-1060	364	45	t1	t1	NOUN
cana-1060	364	46	,	,	PUNCT
cana-1060	364	47	and	and	CCONJ
cana-1060	364	48	t	t	PROPN
cana-1060	364	49	are	be	AUX
cana-1060	364	50	all	all	ADV
cana-1060	364	51	negative	negative	ADJ
cana-1060	364	52	(	(	PUNCT
cana-1060	364	53	or	or	CCONJ
cana-1060	364	54	non	non	ADJ
cana-1060	364	55	-	-	ADJ
cana-1060	364	56	positive	positive	ADJ
cana-1060	364	57	)	)	PUNCT
cana-1060	364	58	within	within	ADP
cana-1060	364	59	the	the	DET
cana-1060	364	60	above	above	ADJ
cana-1060	364	61	obtained	obtain	VERB
cana-1060	364	62	optimal	optimal	ADJ
cana-1060	364	63	decision	decision	NOUN
cana-1060	364	64	variables	variable	NOUN
cana-1060	364	65	.	.	PUNCT
cana-1060	365	1	it	it	PRON
cana-1060	365	2	is	be	AUX
cana-1060	365	3	demonstrated	demonstrate	VERB
cana-1060	365	4	step	step	NOUN
cana-1060	365	5	-	-	PUNCT
cana-1060	365	6	by	by	ADP
cana-1060	365	7	-	-	PUNCT
cana-1060	365	8	step	step	NOUN
cana-1060	365	9	for	for	ADP
cana-1060	365	10	each	each	DET
cana-1060	365	11	πi(p	πi(p	NUM
cana-1060	365	12	,	,	PUNCT
cana-1060	365	13	t1	t1	PROPN
cana-1060	365	14	,	,	PUNCT
cana-1060	365	15	t	t	PROPN
cana-1060	365	16	)	)	PUNCT
cana-1060	365	17	as	as	ADP
cana-1060	365	18	:	:	PUNCT
cana-1060	365	19	1	1	X
cana-1060	365	20	.	.	X
cana-1060	365	21	define	define	VERB
cana-1060	365	22	the	the	DET
cana-1060	365	23	total	total	ADJ
cana-1060	365	24	profit	profit	NOUN
cana-1060	365	25	functions	function	NOUN
cana-1060	365	26	πi(p	πi(p	NUM
cana-1060	365	27	,	,	PUNCT
cana-1060	365	28	t1	t1	PROPN
cana-1060	365	29	,	,	PUNCT
cana-1060	365	30	t	t	PROPN
cana-1060	365	31	)	)	PUNCT
cana-1060	365	32	for	for	ADP
cana-1060	365	33	i	i	PROPN
cana-1060	365	34	=	=	NOUN
cana-1060	365	35	1	1	NUM
cana-1060	365	36	,	,	PUNCT
cana-1060	365	37	2	2	NUM
cana-1060	365	38	,	,	PUNCT
cana-1060	365	39	3	3	NUM
cana-1060	365	40	.	.	NOUN
cana-1060	365	41	2	2	NUM
cana-1060	365	42	.	.	X
cana-1060	365	43	compute	compute	VERB
cana-1060	365	44	the	the	DET
cana-1060	365	45	second	second	ADJ
cana-1060	365	46	partial	partial	ADJ
cana-1060	365	47	derivatives	derivative	NOUN
cana-1060	365	48	of	of	ADP
cana-1060	365	49	each	each	DET
cana-1060	365	50	profit	profit	NOUN
cana-1060	365	51	function	function	NOUN
cana-1060	365	52	πi(p	πi(p	NOUN
cana-1060	365	53	,	,	PUNCT
cana-1060	365	54	t1	t1	PROPN
cana-1060	365	55	,	,	PUNCT
cana-1060	365	56	t	t	PROPN
cana-1060	365	57	)	)	PUNCT
cana-1060	365	58	with	with	ADP
cana-1060	365	59	respect	respect	NOUN
cana-1060	365	60	to	to	ADP
cana-1060	365	61	p	p	PRON
cana-1060	365	62	,	,	PUNCT
cana-1060	365	63	t1	t1	NOUN
cana-1060	365	64	,	,	PUNCT
cana-1060	365	65	and	and	CCONJ
cana-1060	365	66	t.	t.	PROPN
cana-1060	365	67	3	3	NUM
cana-1060	365	68	.	.	PUNCT
cana-1060	365	69	verify	verify	VERB
cana-1060	365	70	concavity	concavity	NOUN
cana-1060	365	71	:	:	PUNCT
cana-1060	365	72	for	for	ADP
cana-1060	365	73	concavity	concavity	NOUN
cana-1060	365	74	in	in	ADP
cana-1060	365	75	p	p	NOUN
cana-1060	365	76	,	,	PUNCT
cana-1060	365	77	ensure	ensure	VERB
cana-1060	365	78	that	that	SCONJ
cana-1060	365	79	2	2	NUM
cana-1060	365	80	1	1	NUM
cana-1060	365	81	2	2	NUM
cana-1060	365	82	(	(	PUNCT
cana-1060	365	83	,	,	PUNCT
cana-1060	365	84	,	,	PUNCT
cana-1060	365	85	)	)	PUNCT
cana-1060	365	86	0i	0i	VERB
cana-1060	366	1	p	p	PROPN
cana-1060	366	2	t	t	PROPN
cana-1060	366	3	t	t	PROPN
cana-1060	366	4	p	p	PROPN
cana-1060	366	5			PROPN
cana-1060	366	6			ADP
cana-1060	366	7			NOUN
cana-1060	366	8			ADJ
cana-1060	366	9	for	for	ADP
cana-1060	366	10	all	all	DET
cana-1060	366	11	p	p	NOUN
cana-1060	366	12	,	,	PUNCT
cana-1060	366	13	t1	t1	NOUN
cana-1060	366	14	,	,	PUNCT
cana-1060	366	15	and	and	CCONJ
cana-1060	366	16	t.	t.	NOUN
cana-1060	366	17	for	for	ADP
cana-1060	366	18	concavity	concavity	NOUN
cana-1060	366	19	in	in	ADP
cana-1060	366	20	t1	t1	NOUN
cana-1060	366	21	,	,	PUNCT
cana-1060	366	22	ensure	ensure	VERB
cana-1060	366	23	that	that	SCONJ
cana-1060	366	24	2	2	NUM
cana-1060	366	25	1	1	NUM
cana-1060	366	26	2	2	NUM
cana-1060	366	27	1	1	NUM
cana-1060	366	28	(	(	PUNCT
cana-1060	366	29	,	,	PUNCT
cana-1060	366	30	,	,	PUNCT
cana-1060	366	31	)	)	PUNCT
cana-1060	366	32	0i	0i	VERB
cana-1060	367	1	p	p	PROPN
cana-1060	367	2	t	t	PROPN
cana-1060	367	3	t	t	PROPN
cana-1060	367	4	t	t	PROPN
cana-1060	367	5			PROPN
cana-1060	367	6			ADP
cana-1060	367	7			NOUN
cana-1060	367	8			ADJ
cana-1060	367	9	for	for	ADP
cana-1060	367	10	all	all	DET
cana-1060	367	11	p	p	NOUN
cana-1060	367	12	,	,	PUNCT
cana-1060	367	13	t1	t1	NOUN
cana-1060	367	14	,	,	PUNCT
cana-1060	367	15	and	and	CCONJ
cana-1060	367	16	t.	t.	NOUN
cana-1060	367	17	for	for	ADP
cana-1060	367	18	concavity	concavity	NOUN
cana-1060	367	19	in	in	ADP
cana-1060	367	20	t	t	PROPN
cana-1060	367	21	,	,	PUNCT
cana-1060	367	22	ensure	ensure	VERB
cana-1060	367	23	that	that	SCONJ
cana-1060	367	24	2	2	NUM
cana-1060	367	25	1	1	NUM
cana-1060	367	26	2	2	NUM
cana-1060	367	27	(	(	PUNCT
cana-1060	367	28	,	,	PUNCT
cana-1060	367	29	,	,	PUNCT
cana-1060	367	30	)	)	PUNCT
cana-1060	367	31	0i	0i	VERB
cana-1060	368	1	p	p	PROPN
cana-1060	368	2	t	t	PROPN
cana-1060	368	3	t	t	PROPN
cana-1060	368	4	t	t	PROPN
cana-1060	368	5			PROPN
cana-1060	368	6			ADP
cana-1060	368	7			NOUN
cana-1060	368	8			ADJ
cana-1060	368	9	for	for	ADP
cana-1060	368	10	all	all	DET
cana-1060	368	11	p	p	NOUN
cana-1060	368	12	,	,	PUNCT
cana-1060	368	13	t1	t1	NOUN
cana-1060	368	14	,	,	PUNCT
cana-1060	368	15	and	and	CCONJ
cana-1060	368	16	t.	t.	PROPN
cana-1060	368	17	4	4	NUM
cana-1060	368	18	.	.	PUNCT
cana-1060	369	1	ensure	ensure	VERB
cana-1060	369	2	the	the	DET
cana-1060	369	3	mixed	mixed	ADJ
cana-1060	369	4	partial	partial	ADJ
cana-1060	369	5	derivatives	derivative	NOUN
cana-1060	369	6	2	2	NUM
cana-1060	369	7	2	2	NUM
cana-1060	369	8	2	2	NUM
cana-1060	369	9	1	1	NUM
cana-1060	369	10	1	1	NUM
cana-1060	369	11	1	1	NUM
cana-1060	369	12	1	1	NUM
cana-1060	369	13	1	1	NUM
cana-1060	369	14	(	(	PUNCT
cana-1060	369	15	,	,	PUNCT
cana-1060	369	16	,	,	PUNCT
cana-1060	369	17	)	)	PUNCT
cana-1060	369	18	(	(	PUNCT
cana-1060	369	19	,	,	PUNCT
cana-1060	369	20	,	,	PUNCT
cana-1060	369	21	)	)	PUNCT
cana-1060	369	22	(	(	PUNCT
cana-1060	369	23	,	,	PUNCT
cana-1060	369	24	,	,	PUNCT
cana-1060	369	25	)	)	PUNCT
cana-1060	369	26	,	,	PUNCT
cana-1060	369	27	andi	andi	PROPN
cana-1060	369	28	i	i	PRON
cana-1060	369	29	ip	ip	VERB
cana-1060	369	30	t	t	NOUN
cana-1060	369	31	t	t	PROPN
cana-1060	369	32	p	p	PROPN
cana-1060	369	33	t	t	PROPN
cana-1060	369	34	t	t	PROPN
cana-1060	369	35	p	p	PROPN
cana-1060	369	36	t	t	PROPN
cana-1060	369	37	t	t	PROPN
cana-1060	369	38	t	t	PROPN
cana-1060	369	39	p	p	PROPN
cana-1060	369	40	t	t	PROPN
cana-1060	369	41	p	p	PROPN
cana-1060	369	42	t	t	PROPN
cana-1060	369	43	t	t	PROPN
cana-1060	369	44			PROPN
cana-1060	369	45			ADP
cana-1060	369	46			PROPN
cana-1060	369	47			ADP
cana-1060	369	48			PROPN
cana-1060	369	49			SCONJ
cana-1060	369	50			ADJ
cana-1060	369	51			ADJ
cana-1060	369	52			ADJ
cana-1060	369	53			ADJ
cana-1060	369	54			PROPN
cana-1060	369	55			PROPN
cana-1060	369	56	also	also	ADV
cana-1060	369	57	satisfy	satisfy	VERB
cana-1060	369	58	conditions	condition	NOUN
cana-1060	369	59	that	that	PRON
cana-1060	369	60	indicate	indicate	VERB
cana-1060	369	61	concavity	concavity	NOUN
cana-1060	369	62	.	.	PUNCT
cana-1060	370	1	5	5	X
cana-1060	370	2	.	.	X
cana-1060	370	3	if	if	SCONJ
cana-1060	370	4	all	all	DET
cana-1060	370	5	the	the	DET
cana-1060	370	6	second	second	ADJ
cana-1060	370	7	derivatives	derivative	NOUN
cana-1060	370	8	satisfy	satisfy	VERB
cana-1060	370	9	the	the	DET
cana-1060	370	10	concavity	concavity	NOUN
cana-1060	370	11	conditions	condition	NOUN
cana-1060	370	12	(	(	PUNCT
cana-1060	370	13	i.e.	i.e.	X
cana-1060	370	14	non	non	ADJ
cana-1060	370	15	-	-	ADJ
cana-1060	370	16	positive	positive	ADJ
cana-1060	370	17	)	)	PUNCT
cana-1060	370	18	within	within	ADP
cana-1060	370	19	the	the	DET
cana-1060	370	20	feasible	feasible	ADJ
cana-1060	370	21	parameter	parameter	NOUN
cana-1060	370	22	space	space	NOUN
cana-1060	370	23	,	,	PUNCT
cana-1060	370	24	then	then	ADV
cana-1060	370	25	the	the	DET
cana-1060	370	26	total	total	ADJ
cana-1060	370	27	profit	profit	NOUN
cana-1060	370	28	function	function	NOUN
cana-1060	370	29	πi(p	πi(p	NOUN
cana-1060	370	30	,	,	PUNCT
cana-1060	370	31	t1	t1	PROPN
cana-1060	370	32	,	,	PUNCT
cana-1060	370	33	t	t	PROPN
cana-1060	370	34	)	)	PUNCT
cana-1060	370	35	for	for	ADP
cana-1060	370	36	i	i	PROPN
cana-1060	370	37	=	=	NOUN
cana-1060	370	38	1	1	NUM
cana-1060	370	39	,	,	PUNCT
cana-1060	370	40	2	2	NUM
cana-1060	370	41	,	,	PUNCT
cana-1060	370	42	3	3	NUM
cana-1060	370	43	is	be	AUX
cana-1060	370	44	concave	concave	VERB
cana-1060	370	45	.	.	PUNCT
cana-1060	371	1	communications	communication	NOUN
cana-1060	371	2	on	on	ADP
cana-1060	371	3	applied	apply	VERB
cana-1060	371	4	nonlinear	nonlinear	ADJ
cana-1060	371	5	analysis	analysis	NOUN
cana-1060	371	6	issn	issn	NOUN
cana-1060	371	7	:	:	PUNCT
cana-1060	371	8	1074	1074	NUM
cana-1060	371	9	-	-	PUNCT
cana-1060	371	10	133x	133x	NUM
cana-1060	371	11	vol	vol	NOUN
cana-1060	371	12	31	31	NUM
cana-1060	371	13	no	no	NOUN
cana-1060	371	14	.	.	PUNCT
cana-1060	372	1	5s	5s	NUM
cana-1060	372	2	(	(	PUNCT
cana-1060	372	3	2024	2024	NUM
cana-1060	372	4	)	)	PUNCT
cana-1060	372	5	423	423	NUM
cana-1060	372	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	372	7	6	6	NUM
cana-1060	372	8	.	.	PUNCT
cana-1060	372	9	verify	verify	VERB
cana-1060	372	10	the	the	DET
cana-1060	372	11	condition	condition	NOUN
cana-1060	372	12	2	2	NUM
cana-1060	372	13	2	2	NUM
cana-1060	372	14	2	2	NUM
cana-1060	372	15	2	2	NUM
cana-1060	372	16	2	2	NUM
cana-1060	372	17	1	1	NUM
cana-1060	372	18	1	1	NUM
cana-1060	372	19	1	1	NUM
cana-1060	372	20	1	1	NUM
cana-1060	372	21	2	2	NUM
cana-1060	372	22	2	2	NUM
cana-1060	372	23	2	2	NUM
cana-1060	372	24	1	1	NUM
cana-1060	372	25	1	1	NUM
cana-1060	372	26	2	2	NUM
cana-1060	372	27	2	2	NUM
cana-1060	372	28	2	2	NUM
cana-1060	372	29	2	2	NUM
cana-1060	372	30	2	2	NUM
cana-1060	372	31	1	1	NUM
cana-1060	372	32	1	1	NUM
cana-1060	372	33	1	1	NUM
cana-1060	372	34	1	1	NUM
cana-1060	372	35	2	2	NUM
cana-1060	372	36	2	2	NUM
cana-1060	372	37	1	1	NUM
cana-1060	372	38	1	1	NUM
cana-1060	372	39	2	2	NUM
cana-1060	372	40	1	1	NUM
cana-1060	372	41	(	(	PUNCT
cana-1060	372	42	,	,	PUNCT
cana-1060	372	43	,	,	PUNCT
cana-1060	372	44	)	)	PUNCT
cana-1060	372	45	(	(	PUNCT
cana-1060	372	46	,	,	PUNCT
cana-1060	372	47	,	,	PUNCT
cana-1060	372	48	)	)	PUNCT
cana-1060	372	49	(	(	PUNCT
cana-1060	372	50	,	,	PUNCT
cana-1060	372	51	,	,	PUNCT
cana-1060	372	52	)	)	PUNCT
cana-1060	372	53	(	(	PUNCT
cana-1060	372	54	,	,	PUNCT
cana-1060	372	55	,	,	PUNCT
cana-1060	372	56	)	)	PUNCT
cana-1060	372	57	(	(	PUNCT
cana-1060	372	58	,	,	PUNCT
cana-1060	372	59	,	,	PUNCT
cana-1060	372	60	)	)	PUNCT
cana-1060	372	61	(	(	PUNCT
cana-1060	372	62	,	,	PUNCT
cana-1060	372	63	,	,	PUNCT
cana-1060	372	64	)	)	PUNCT
cana-1060	372	65	(	(	PUNCT
cana-1060	372	66	,	,	PUNCT
cana-1060	372	67	,	,	PUNCT
cana-1060	372	68	)	)	PUNCT
cana-1060	372	69	(	(	PUNCT
cana-1060	372	70	,	,	PUNCT
cana-1060	372	71	,	,	PUNCT
cana-1060	372	72	)	)	PUNCT
cana-1060	373	1	(	(	PUNCT
cana-1060	373	2	,	,	PUNCT
cana-1060	373	3	,	,	PUNCT
cana-1060	373	4	2	2	X
cana-1060	373	5	i	i	PRON
cana-1060	373	6	i	i	PRON
cana-1060	374	1	i	i	PRON
cana-1060	374	2	i	i	PRON
cana-1060	375	1	i	i	PRON
cana-1060	375	2	i	i	PRON
cana-1060	376	1	i	i	PRON
cana-1060	376	2	i	i	PRON
cana-1060	377	1	i	i	PRON
cana-1060	378	1	p	p	X
cana-1060	378	2	t	t	X
cana-1060	378	3	t	t	PROPN
cana-1060	379	1	p	p	X
cana-1060	379	2	t	t	PROPN
cana-1060	379	3	t	t	PROPN
cana-1060	379	4	p	p	X
cana-1060	379	5	t	t	PROPN
cana-1060	379	6	t	t	PROPN
cana-1060	379	7	p	p	X
cana-1060	379	8	t	t	PROPN
cana-1060	379	9	t	t	PROPN
cana-1060	379	10	p	p	PROPN
cana-1060	379	11	t	t	PROPN
cana-1060	379	12	t	t	PROPN
cana-1060	379	13	t	t	PROPN
cana-1060	379	14	t	t	PROPN
cana-1060	379	15	p	p	PROPN
cana-1060	379	16	t	t	PROPN
cana-1060	379	17	t	t	PROPN
cana-1060	379	18	p	p	X
cana-1060	379	19	t	t	PROPN
cana-1060	379	20	t	t	PROPN
cana-1060	379	21	p	p	X
cana-1060	379	22	t	t	PROPN
cana-1060	379	23	t	t	PROPN
cana-1060	379	24	p	p	PROPN
cana-1060	379	25	t	t	PROPN
cana-1060	379	26	t	t	PROPN
cana-1060	379	27	t	t	PROPN
cana-1060	379	28	p	p	PROPN
cana-1060	379	29	t	t	PROPN
cana-1060	379	30	t	t	PROPN
cana-1060	379	31	p	p	PROPN
cana-1060	379	32	t	t	PROPN
cana-1060	379	33	p	p	PROPN
cana-1060	379	34	t	t	PROPN
cana-1060	379	35			NOUN
cana-1060	379	36			PROPN
cana-1060	379	37			PROPN
cana-1060	379	38			VERB
cana-1060	379	39			PROPN
cana-1060	379	40			PROPN
cana-1060	379	41			NOUN
cana-1060	379	42			PROPN
cana-1060	379	43			ADP
cana-1060	379	44			PROPN
cana-1060	379	45			ADP
cana-1060	379	46			PROPN
cana-1060	379	47			ADP
cana-1060	379	48			PROPN
cana-1060	379	49			ADP
cana-1060	379	50			PROPN
cana-1060	379	51	−	−	NOUN
cana-1060	379	52			PROPN
cana-1060	379	53			PROPN
cana-1060	379	54			NOUN
cana-1060	380	1			PROPN
cana-1060	380	2			PROPN
cana-1060	380	3			VERB
cana-1060	381	1			ADP
cana-1060	381	2			ADJ
cana-1060	381	3			PROPN
cana-1060	381	4			PROPN
cana-1060	381	5			ADJ
cana-1060	381	6			NOUN
cana-1060	381	7			PROPN
cana-1060	381	8			NOUN
cana-1060	381	9			NOUN
cana-1060	381	10			NOUN
cana-1060	381	11			NOUN
cana-1060	381	12			NOUN
cana-1060	381	13			NOUN
cana-1060	381	14			NOUN
cana-1060	381	15			NOUN
cana-1060	381	16			PROPN
cana-1060	381	17			PROPN
cana-1060	381	18			NOUN
cana-1060	381	19			PROPN
cana-1060	382	1			ADP
cana-1060	382	2			PROPN
cana-1060	382	3			ADP
cana-1060	382	4			PROPN
cana-1060	382	5			ADP
cana-1060	382	6			ADJ
cana-1060	382	7			ADP
cana-1060	382	8	−	−	PROPN
cana-1060	382	9	−	−	PROPN
cana-1060	383	1			PROPN
cana-1060	383	2			PROPN
cana-1060	383	3			NOUN
cana-1060	384	1			PROPN
cana-1060	385	1			PROPN
cana-1060	386	1			PROPN
cana-1060	386	2			ADJ
cana-1060	386	3			ADJ
cana-1060	386	4			ADJ
cana-1060	386	5			PROPN
cana-1060	386	6			PROPN
cana-1060	386	7			ADJ
cana-1060	386	8			NOUN
cana-1060	386	9			PROPN
cana-1060	386	10			NOUN
cana-1060	386	11			NOUN
cana-1060	386	12			PROPN
cana-1060	386	13			NOUN
cana-1060	386	14			ADJ
cana-1060	386	15			ADV
cana-1060	386	16	+	+	NOUN
cana-1060	386	17	2	2	NUM
cana-1060	386	18	2	2	NUM
cana-1060	386	19	1	1	NUM
cana-1060	386	20	1	1	NUM
cana-1060	386	21	1	1	NUM
cana-1060	386	22	1	1	NUM
cana-1060	386	23	0	0	NUM
cana-1060	386	24	)	)	PUNCT
cana-1060	386	25	(	(	PUNCT
cana-1060	386	26	,	,	PUNCT
cana-1060	386	27	,	,	PUNCT
cana-1060	386	28	)	)	PUNCT
cana-1060	386	29	(	(	PUNCT
cana-1060	386	30	,	,	PUNCT
cana-1060	386	31	,	,	PUNCT
cana-1060	386	32	)	)	PUNCT
cana-1060	387	1	i	i	PRON
cana-1060	387	2	it	it	PRON
cana-1060	388	1	p	p	X
cana-1060	388	2	t	t	NOUN
cana-1060	388	3	t	t	PROPN
cana-1060	388	4	p	p	PROPN
cana-1060	388	5	t	t	PROPN
cana-1060	388	6	t	t	PROPN
cana-1060	388	7	t	t	PROPN
cana-1060	388	8	t	t	PROPN
cana-1060	388	9	t	t	PROPN
cana-1060	389	1	p	p	PROPN
cana-1060	389	2	t	t	PROPN
cana-1060	389	3	p	p	PROPN
cana-1060	389	4			PROPN
cana-1060	389	5			NOUN
cana-1060	389	6			NOUN
cana-1060	389	7			PROPN
cana-1060	389	8			NOUN
cana-1060	389	9			NOUN
cana-1060	389	10			NOUN
cana-1060	389	11			NOUN
cana-1060	389	12			NOUN
cana-1060	389	13			NOUN
cana-1060	389	14			PROPN
cana-1060	389	15			ADJ
cana-1060	389	16			NOUN
cana-1060	389	17			NOUN
cana-1060	389	18			NOUN
cana-1060	389	19			NOUN
cana-1060	389	20			NOUN
cana-1060	389	21			PROPN
cana-1060	389	22			PROPN
cana-1060	389	23			PROPN
cana-1060	389	24			ADP
cana-1060	389	25			PROPN
cana-1060	389	26			NOUN
cana-1060	389	27			NOUN
cana-1060	389	28			X
cana-1060	389	29			X
cana-1060	390	1			DET
cana-1060	390	2			ADJ
cana-1060	390	3			ADJ
cana-1060	390	4			ADJ
cana-1060	390	5			ADJ
cana-1060	390	6			PROPN
cana-1060	390	7			ADP
cana-1060	390	8			NOUN
cana-1060	390	9			NOUN
cana-1060	390	10			NOUN
cana-1060	390	11			NOUN
cana-1060	390	12			VERB
cana-1060	390	13			PROPN
cana-1060	390	14			PROPN
cana-1060	390	15	which	which	PRON
cana-1060	390	16	is	be	AUX
cana-1060	390	17	the	the	DET
cana-1060	390	18	hessian	hessian	ADJ
cana-1060	390	19	matrix	matrix	NOUN
cana-1060	390	20	analysis	analysis	NOUN
cana-1060	390	21	to	to	PART
cana-1060	390	22	examine	examine	VERB
cana-1060	390	23	the	the	DET
cana-1060	390	24	concavity	concavity	NOUN
cana-1060	390	25	properties	property	NOUN
cana-1060	390	26	of	of	ADP
cana-1060	390	27	the	the	DET
cana-1060	390	28	total	total	ADJ
cana-1060	390	29	profit	profit	NOUN
cana-1060	390	30	functions	function	NOUN
cana-1060	390	31	.	.	PUNCT
cana-1060	391	1	7	7	X
cana-1060	391	2	.	.	X
cana-1060	391	3	analyzing	analyze	VERB
cana-1060	391	4	the	the	DET
cana-1060	391	5	derivatives	derivative	NOUN
cana-1060	391	6	of	of	ADP
cana-1060	391	7	the	the	DET
cana-1060	391	8	given	give	VERB
cana-1060	391	9	profit	profit	NOUN
cana-1060	391	10	functions	function	NOUN
cana-1060	391	11	,	,	PUNCT
cana-1060	391	12	determine	determine	VERB
cana-1060	391	13	whether	whether	SCONJ
cana-1060	391	14	πi(p	πi(p	NOUN
cana-1060	391	15	,	,	PUNCT
cana-1060	391	16	t1	t1	PROPN
cana-1060	391	17	,	,	PUNCT
cana-1060	391	18	t	t	PROPN
cana-1060	391	19	)	)	PUNCT
cana-1060	391	20	is	be	AUX
cana-1060	391	21	concave	concave	VERB
cana-1060	391	22	for	for	ADP
cana-1060	391	23	i	i	PROPN
cana-1060	391	24	=	=	NOUN
cana-1060	391	25	1	1	NUM
cana-1060	391	26	,	,	PUNCT
cana-1060	391	27	2	2	NUM
cana-1060	391	28	,	,	PUNCT
cana-1060	391	29	3	3	NUM
cana-1060	391	30	under	under	ADP
cana-1060	391	31	the	the	DET
cana-1060	391	32	specified	specified	ADJ
cana-1060	391	33	conditions	condition	NOUN
cana-1060	391	34	.	.	PUNCT
cana-1060	392	1	this	this	DET
cana-1060	392	2	verification	verification	NOUN
cana-1060	392	3	is	be	AUX
cana-1060	392	4	crucial	crucial	ADJ
cana-1060	392	5	in	in	ADP
cana-1060	392	6	understanding	understand	VERB
cana-1060	392	7	the	the	DET
cana-1060	392	8	optimization	optimization	NOUN
cana-1060	392	9	landscape	landscape	NOUN
cana-1060	392	10	and	and	CCONJ
cana-1060	392	11	ensuring	ensure	VERB
cana-1060	392	12	the	the	DET
cana-1060	392	13	validity	validity	NOUN
cana-1060	392	14	of	of	ADP
cana-1060	392	15	profit	profit	NOUN
cana-1060	392	16	maximization	maximization	NOUN
cana-1060	392	17	strategies	strategy	NOUN
cana-1060	392	18	.	.	PUNCT
cana-1060	393	1	5	5	X
cana-1060	393	2	.	.	NOUN
cana-1060	393	3	numerical	numerical	ADJ
cana-1060	393	4	examples	example	NOUN
cana-1060	393	5	and	and	CCONJ
cana-1060	393	6	sensitivity	sensitivity	NOUN
cana-1060	393	7	analysis	analysis	NOUN
cana-1060	393	8	example	example	NOUN
cana-1060	393	9	1	1	NUM
cana-1060	393	10	:	:	PUNCT
cana-1060	393	11	the	the	DET
cana-1060	393	12	data	datum	NOUN
cana-1060	393	13	provided	provide	VERB
cana-1060	393	14	in	in	ADP
cana-1060	393	15	this	this	DET
cana-1060	393	16	example	example	NOUN
cana-1060	393	17	demonstrates	demonstrate	VERB
cana-1060	393	18	numerically	numerically	ADV
cana-1060	393	19	,	,	PUNCT
cana-1060	393	20	the	the	DET
cana-1060	393	21	outcomes	outcome	NOUN
cana-1060	393	22	of	of	ADP
cana-1060	393	23	the	the	DET
cana-1060	393	24	model	model	NOUN
cana-1060	393	25	developed	develop	VERB
cana-1060	393	26	.	.	PUNCT
cana-1060	394	1	consider	consider	VERB
cana-1060	394	2	the	the	DET
cana-1060	394	3	values	value	NOUN
cana-1060	394	4	a	a	PRON
cana-1060	394	5	=	=	SYM
cana-1060	394	6	90	90	NUM
cana-1060	394	7	,	,	PUNCT
cana-1060	394	8	b	b	NOUN
cana-1060	394	9	=	=	SYM
cana-1060	394	10	1.5	1.5	NUM
cana-1060	394	11	,	,	PUNCT
cana-1060	394	12	a	a	DET
cana-1060	394	13	=	=	SYM
cana-1060	394	14	4	4	NUM
cana-1060	394	15	,	,	PUNCT
cana-1060	394	16	k	k	NOUN
cana-1060	395	1	=	=	PUNCT
cana-1060	395	2	rs.620	rs.620	NOUN
cana-1060	395	3	per	per	ADP
cana-1060	395	4	order	order	NOUN
cana-1060	395	5	,	,	PUNCT
cana-1060	395	6	c	c	PROPN
cana-1060	395	7	=	=	PUNCT
cana-1060	395	8	rs.15	rs.15	PROPN
cana-1060	395	9	per	per	ADP
cana-1060	395	10	unit	unit	NOUN
cana-1060	395	11	,	,	PUNCT
cana-1060	395	12	s	s	NOUN
cana-1060	395	13	=	=	SYM
cana-1060	395	14	rs.11per	rs.11per	NOUN
cana-1060	395	15	unit	unit	NOUN
cana-1060	395	16	,	,	PUNCT
cana-1060	396	1	d	d	PROPN
cana-1060	396	2	=	=	PUNCT
cana-1060	396	3	rs	rs	NOUN
cana-1060	396	4	.	.	PROPN
cana-1060	396	5	10	10	NUM
cana-1060	396	6	per	per	ADP
cana-1060	396	7	unit	unit	NOUN
cana-1060	396	8	,	,	PUNCT
cana-1060	396	9	l	l	NOUN
cana-1060	397	1	=	=	PUNCT
cana-1060	397	2	rs	rs	NOUN
cana-1060	397	3	.	.	PROPN
cana-1060	397	4	12	12	NUM
cana-1060	397	5	per	per	ADP
cana-1060	397	6	unit	unit	NOUN
cana-1060	397	7	,	,	PUNCT
cana-1060	397	8	h	h	NOUN
cana-1060	397	9	=	=	PUNCT
cana-1060	397	10	rs.0.05	rs.0.05	NOUN
cana-1060	397	11	per	per	ADP
cana-1060	397	12	unit	unit	NOUN
cana-1060	397	13	per	per	ADP
cana-1060	397	14	month	month	NOUN
cana-1060	397	15	,	,	PUNCT
cana-1060	397	16	g	g	NOUN
cana-1060	397	17	=	=	PUNCT
cana-1060	397	18	rs	rs	NOUN
cana-1060	397	19	.	.	PUNCT
cana-1060	398	1	0.3	0.3	NUM
cana-1060	398	2	per	per	ADP
cana-1060	398	3	unit	unit	NOUN
cana-1060	398	4	per	per	ADP
cana-1060	398	5	month	month	NOUN
cana-1060	398	6	,	,	PUNCT
cana-1060	398	7	m	m	VERB
cana-1060	398	8	=	=	NOUN
cana-1060	398	9	0.4	0.4	NUM
cana-1060	398	10	month	month	NOUN
cana-1060	398	11	,	,	PUNCT
cana-1060	398	12	td	td	NOUN
cana-1060	398	13	=	=	NOUN
cana-1060	398	14	0.7	0.7	NUM
cana-1060	398	15	month	month	NOUN
cana-1060	398	16	,	,	PUNCT
cana-1060	398	17	m	m	VERB
cana-1060	398	18	=	=	SYM
cana-1060	398	19	3	3	NUM
cana-1060	398	20	month	month	NOUN
cana-1060	398	21	,	,	PUNCT
cana-1060	398	22	a	a	DET
cana-1060	398	23	=	=	SYM
cana-1060	398	24	4	4	NUM
cana-1060	398	25	,	,	PUNCT
cana-1060	398	26			CCONJ
cana-1060	398	27	=	=	SYM
cana-1060	398	28	0.6	0.6	NUM
cana-1060	398	29	,	,	PUNCT
cana-1060	398	30	g	g	NOUN
cana-1060	398	31	=	=	SYM
cana-1060	398	32	50	50	NUM
cana-1060	398	33	,	,	PUNCT
cana-1060	398	34			NUM
cana-1060	398	35	=	=	SYM
cana-1060	398	36	0.5	0.5	NUM
cana-1060	398	37	,	,	PUNCT
cana-1060	398	38			PROPN
cana-1060	398	39	=	=	NUM
cana-1060	398	40	0.4	0.4	NUM
cana-1060	398	41	,	,	PUNCT
cana-1060	398	42	j	j	PROPN
cana-1060	398	43	=	=	SYM
cana-1060	398	44	1	1	NUM
cana-1060	398	45	,	,	PUNCT
cana-1060	398	46	n	n	NOUN
cana-1060	398	47	=	=	SYM
cana-1060	398	48	3	3	NUM
cana-1060	398	49	,	,	PUNCT
cana-1060	398	50	l	l	NOUN
cana-1060	398	51	=	=	PUNCT
cana-1060	398	52	0.3	0.3	NUM
cana-1060	398	53	,	,	PUNCT
cana-1060	398	54	ic	ic	PROPN
cana-1060	398	55	=	=	NUM
cana-1060	398	56	0.2	0.2	NUM
cana-1060	398	57	,	,	PUNCT
cana-1060	398	58	ie	ie	ADV
cana-1060	398	59	=	=	NOUN
cana-1060	398	60	0.07	0.07	NUM
cana-1060	398	61	,	,	PUNCT
cana-1060	398	62	il	il	PROPN
cana-1060	398	63	=	=	NOUN
cana-1060	398	64	0.05	0.05	NUM
cana-1060	398	65	.	.	PUNCT
cana-1060	399	1	optimal	optimal	ADJ
cana-1060	399	2	values	value	NOUN
cana-1060	399	3	for	for	ADP
cana-1060	399	4	the	the	DET
cana-1060	399	5	above	above	ADJ
cana-1060	399	6	data	datum	NOUN
cana-1060	399	7	are	be	AUX
cana-1060	399	8	:	:	PUNCT
cana-1060	399	9	1	1	X
cana-1060	399	10	=	=	SYM
cana-1060	399	11	rs.2512.26	rs.2512.26	NOUN
cana-1060	399	12	,	,	PUNCT
cana-1060	399	13	p	p	NOUN
cana-1060	399	14	=	=	NOUN
cana-1060	399	15	rs.27.71	rs.27.71	NOUN
cana-1060	399	16	,	,	PUNCT
cana-1060	399	17	t1	t1	NOUN
cana-1060	399	18	=	=	SYM
cana-1060	399	19	1.4991	1.4991	NUM
cana-1060	399	20	,	,	PUNCT
cana-1060	399	21	t	t	PROPN
cana-1060	399	22	=	=	SYM
cana-1060	399	23	1.7656	1.7656	NUM
cana-1060	399	24	,	,	PUNCT
cana-1060	399	25	s	s	NOUN
cana-1060	399	26	=	=	SYM
cana-1060	399	27	141.7648	141.7648	NUM
cana-1060	399	28	,	,	PUNCT
cana-1060	399	29	r	r	NOUN
cana-1060	399	30	=	=	SYM
cana-1060	399	31	27.8385	27.8385	NUM
cana-1060	399	32	,	,	PUNCT
cana-1060	399	33	q	q	X
cana-1060	400	1	=	=	SYM
cana-1060	400	2	169.6034	169.6034	NUM
cana-1060	400	3	in	in	ADP
cana-1060	400	4	appropriate	appropriate	ADJ
cana-1060	400	5	units	unit	NOUN
cana-1060	400	6	.	.	PUNCT
cana-1060	401	1	the	the	DET
cana-1060	401	2	hessian	hessian	ADJ
cana-1060	401	3	values	value	NOUN
cana-1060	401	4	h1	h1	PROPN
cana-1060	401	5	=	=	SYM
cana-1060	401	6	−5.7217	−5.7217	X
cana-1060	401	7	<	<	X
cana-1060	401	8	0	0	PROPN
cana-1060	401	9	,	,	PUNCT
cana-1060	401	10	h2	h2	NOUN
cana-1060	401	11	=	=	SYM
cana-1060	401	12	10008.9540	10008.9540	PROPN
cana-1060	401	13	>	>	PUNCT
cana-1060	401	14	0	0	PUNCT
cana-1060	402	1	and	and	CCONJ
cana-1060	402	2	h3	h3	NOUN
cana-1060	402	3	=	=	PUNCT
cana-1060	402	4	−2291002.4621	−2291002.4621	PROPN
cana-1060	402	5	<	<	X
cana-1060	402	6	0	0	NUM
cana-1060	402	7	conform	conform	VERB
cana-1060	402	8	the	the	DET
cana-1060	402	9	concavity	concavity	NOUN
cana-1060	402	10	.	.	PUNCT
cana-1060	403	1	example	example	NOUN
cana-1060	404	1	2	2	NUM
cana-1060	404	2	:	:	PUNCT
cana-1060	404	3	other	other	ADJ
cana-1060	404	4	parameters	parameter	NOUN
cana-1060	404	5	are	be	AUX
cana-1060	404	6	the	the	DET
cana-1060	404	7	same	same	ADJ
cana-1060	404	8	as	as	ADP
cana-1060	404	9	in	in	ADP
cana-1060	404	10	example	example	NOUN
cana-1060	404	11	1	1	NUM
cana-1060	404	12	except	except	SCONJ
cana-1060	404	13	m	m	PROPN
cana-1060	404	14	=	=	NOUN
cana-1060	404	15	0.9	0.9	NUM
cana-1060	404	16	.	.	PUNCT
cana-1060	405	1	the	the	DET
cana-1060	405	2	optimal	optimal	ADJ
cana-1060	405	3	values	value	NOUN
cana-1060	405	4	for	for	ADP
cana-1060	405	5	the	the	DET
cana-1060	405	6	data	datum	NOUN
cana-1060	405	7	are	be	AUX
cana-1060	405	8	:	:	PUNCT
cana-1060	405	9	2	2	PROPN
cana-1060	405	10	=	=	PUNCT
cana-1060	405	11	rs.2588.10	rs.2588.10	NOUN
cana-1060	405	12	,	,	PUNCT
cana-1060	405	13	p	p	NOUN
cana-1060	405	14	=	=	X
cana-1060	405	15	rs.27.51	rs.27.51	PROPN
cana-1060	405	16	,	,	PUNCT
cana-1060	405	17	t1	t1	NOUN
cana-1060	405	18	=	=	PUNCT
cana-1060	405	19	1.4938	1.4938	NUM
cana-1060	405	20	,	,	PUNCT
cana-1060	405	21	t	t	NOUN
cana-1060	405	22	=	=	SYM
cana-1060	405	23	1.7520	1.7520	NUM
cana-1060	405	24	,	,	PUNCT
cana-1060	405	25	s	s	PART
cana-1060	405	26	=	=	NOUN
cana-1060	405	27	142.2509	142.2509	NUM
cana-1060	405	28	,	,	PUNCT
cana-1060	405	29	r	r	NOUN
cana-1060	405	30	=	=	SYM
cana-1060	405	31	27.1894	27.1894	NUM
cana-1060	405	32	,	,	PUNCT
cana-1060	405	33	q	q	X
cana-1060	405	34	=	=	VERB
cana-1060	405	35	169.4403	169.4403	NUM
cana-1060	405	36	in	in	ADP
cana-1060	405	37	appropriate	appropriate	ADJ
cana-1060	405	38	units	unit	NOUN
cana-1060	405	39	,	,	PUNCT
cana-1060	405	40	and	and	CCONJ
cana-1060	405	41	the	the	DET
cana-1060	405	42	hessian	hessian	ADJ
cana-1060	405	43	values	value	NOUN
cana-1060	405	44	h1	h1	PROPN
cana-1060	405	45	=	=	PUNCT
cana-1060	405	46	−5.8008	−5.8008	PROPN
cana-1060	405	47	<	<	X
cana-1060	405	48	0	0	PROPN
cana-1060	405	49	,	,	PUNCT
cana-1060	405	50	h2	h2	NOUN
cana-1060	405	51	=	=	SYM
cana-1060	406	1	10381.8905	10381.8905	PROPN
cana-1060	406	2	>	>	PUNCT
cana-1060	406	3	0	0	PUNCT
cana-1060	406	4	and	and	CCONJ
cana-1060	406	5	h3	h3	NOUN
cana-1060	406	6	=	=	PUNCT
cana-1060	406	7	−	−	X
cana-1060	406	8	2446368.8423	2446368.8423	X
cana-1060	406	9	<	<	X
cana-1060	406	10	0	0	NUM
cana-1060	406	11	conform	conform	VERB
cana-1060	406	12	the	the	DET
cana-1060	406	13	concavity	concavity	NOUN
cana-1060	406	14	.	.	PUNCT
cana-1060	407	1	example	example	NOUN
cana-1060	408	1	3	3	NUM
cana-1060	408	2	:	:	PUNCT
cana-1060	408	3	other	other	ADJ
cana-1060	408	4	parameters	parameter	NOUN
cana-1060	408	5	are	be	AUX
cana-1060	408	6	the	the	DET
cana-1060	408	7	same	same	ADJ
cana-1060	408	8	as	as	ADP
cana-1060	408	9	example	example	NOUN
cana-1060	408	10	1	1	NUM
cana-1060	408	11	except	except	SCONJ
cana-1060	408	12	m	m	PROPN
cana-1060	408	13	=	=	NOUN
cana-1060	408	14	2.3	2.3	NUM
cana-1060	408	15	and	and	CCONJ
cana-1060	408	16	c	c	NOUN
cana-1060	408	17	=	=	SYM
cana-1060	408	18	14	14	NUM
cana-1060	408	19	.	.	PUNCT
cana-1060	409	1	taking	take	VERB
cana-1060	409	2	the	the	DET
cana-1060	409	3	above	above	ADJ
cana-1060	409	4	data	datum	NOUN
cana-1060	409	5	,	,	PUNCT
cana-1060	409	6	determine	determine	VERB
cana-1060	409	7	the	the	DET
cana-1060	409	8	optimal	optimal	ADJ
cana-1060	409	9	values	value	NOUN
cana-1060	409	10	as	as	ADP
cana-1060	409	11	3	3	X
cana-1060	409	12	=	=	SYM
cana-1060	409	13	rs.2706.21	rs.2706.21	NOUN
cana-1060	409	14	,	,	PUNCT
cana-1060	409	15	p	p	NOUN
cana-1060	409	16	=	=	PUNCT
cana-1060	409	17	rs.25.77	rs.25.77	ADJ
cana-1060	409	18	,	,	PUNCT
cana-1060	409	19	t1	t1	NOUN
cana-1060	409	20	=	=	PUNCT
cana-1060	409	21	2.2068	2.2068	NUM
cana-1060	409	22	,	,	PUNCT
cana-1060	409	23	t	t	PROPN
cana-1060	409	24	=	=	SYM
cana-1060	409	25	2.4286	2.4286	NUM
cana-1060	409	26	,	,	PUNCT
cana-1060	409	27	s	s	NOUN
cana-1060	409	28	=	=	NOUN
cana-1060	409	29	198.9472	198.9472	NUM
cana-1060	409	30	,	,	PUNCT
cana-1060	409	31	r	r	NOUN
cana-1060	409	32	=	=	SYM
cana-1060	409	33	24.8118	24.8118	NUM
cana-1060	409	34	,	,	PUNCT
cana-1060	409	35	q	q	X
cana-1060	409	36	=	=	SYM
cana-1060	409	37	223.7590	223.7590	NUM
cana-1060	409	38	in	in	ADP
cana-1060	409	39	appropriate	appropriate	ADJ
cana-1060	409	40	units	unit	NOUN
cana-1060	409	41	,	,	PUNCT
cana-1060	409	42	and	and	CCONJ
cana-1060	409	43	the	the	DET
cana-1060	409	44	hessian	hessian	ADJ
cana-1060	409	45	values	value	NOUN
cana-1060	409	46	are	be	AUX
cana-1060	409	47	h1	h1	ADJ
cana-1060	409	48	=	=	PUNCT
cana-1060	409	49	−5.1182	−5.1182	X
cana-1060	409	50	<	<	X
cana-1060	409	51	0	0	PROPN
cana-1060	409	52	,	,	PUNCT
cana-1060	409	53	h2	h2	NOUN
cana-1060	409	54	=	=	PUNCT
cana-1060	410	1	5594.1131	5594.1131	PROPN
cana-1060	410	2	>	>	SYM
cana-1060	410	3	0	0	PUNCT
cana-1060	410	4	and	and	CCONJ
cana-1060	410	5	h3	h3	NOUN
cana-1060	410	6	=	=	PUNCT
cana-1060	410	7	−52067.6911	−52067.6911	PROPN
cana-1060	410	8	<	<	X
cana-1060	410	9	0	0	PUNCT
cana-1060	410	10	conform	conform	VERB
cana-1060	410	11	the	the	DET
cana-1060	410	12	concavity	concavity	NOUN
cana-1060	410	13	.	.	PUNCT
cana-1060	411	1	example	example	NOUN
cana-1060	411	2	3	3	NUM
cana-1060	411	3	clearly	clearly	ADV
cana-1060	411	4	shows	show	VERB
cana-1060	411	5	that	that	SCONJ
cana-1060	411	6	when	when	SCONJ
cana-1060	411	7	the	the	DET
cana-1060	411	8	credit	credit	NOUN
cana-1060	411	9	facility	facility	NOUN
cana-1060	411	10	increases	increase	NOUN
cana-1060	411	11	,	,	PUNCT
cana-1060	411	12	the	the	DET
cana-1060	411	13	total	total	ADJ
cana-1060	411	14	profit	profit	NOUN
cana-1060	411	15	increases	increase	NOUN
cana-1060	411	16	.	.	PUNCT
cana-1060	412	1	the	the	DET
cana-1060	412	2	optimum	optimum	ADJ
cana-1060	412	3	values	value	NOUN
cana-1060	412	4	of	of	ADP
cana-1060	412	5	this	this	DET
cana-1060	412	6	model	model	NOUN
cana-1060	412	7	are	be	AUX
cana-1060	412	8	p	p	PROPN
cana-1060	412	9	*	*	NOUN
cana-1060	412	10	,	,	PUNCT
cana-1060	412	11	t1	t1	PROPN
cana-1060	412	12	*	*	PROPN
cana-1060	412	13	,	,	PUNCT
cana-1060	412	14	t	t	PROPN
cana-1060	412	15	*	*	PUNCT
cana-1060	412	16	,	,	PUNCT
cana-1060	412	17	s	s	PROPN
cana-1060	412	18	*	*	NOUN
cana-1060	412	19	,	,	PUNCT
cana-1060	412	20	r	r	NOUN
cana-1060	412	21	*	*	NOUN
cana-1060	412	22	,	,	PUNCT
cana-1060	412	23	q	q	X
cana-1060	412	24	*	*	X
cana-1060	412	25	and	and	CCONJ
cana-1060	412	26			PROPN
cana-1060	412	27	*	*	VERB
cana-1060	412	28	are	be	AUX
cana-1060	412	29	obtained	obtain	VERB
cana-1060	412	30	from	from	ADP
cana-1060	412	31	example	example	NOUN
cana-1060	412	32	3	3	NUM
cana-1060	412	33	.	.	PUNCT
cana-1060	413	1	the	the	DET
cana-1060	413	2	study	study	NOUN
cana-1060	413	3	has	have	AUX
cana-1060	413	4	examined	examine	VERB
cana-1060	413	5	the	the	DET
cana-1060	413	6	impact	impact	NOUN
cana-1060	413	7	of	of	ADP
cana-1060	413	8	changes	change	NOUN
cana-1060	413	9	made	make	VERB
cana-1060	413	10	to	to	PART
cana-1060	413	11	well	well	ADV
cana-1060	413	12	-	-	PUNCT
cana-1060	413	13	known	know	VERB
cana-1060	413	14	characteristics	characteristic	NOUN
cana-1060	413	15	such	such	ADJ
cana-1060	413	16	as	as	ADP
cana-1060	413	17	inventory	inventory	NOUN
cana-1060	413	18	cost	cost	NOUN
cana-1060	413	19	,	,	PUNCT
cana-1060	413	20	degradation	degradation	NOUN
cana-1060	413	21	,	,	PUNCT
cana-1060	413	22	and	and	CCONJ
cana-1060	413	23	demand	demand	NOUN
cana-1060	413	24	.	.	PUNCT
cana-1060	414	1	the	the	DET
cana-1060	414	2	results	result	NOUN
cana-1060	414	3	are	be	AUX
cana-1060	414	4	tabulated	tabulate	VERB
cana-1060	414	5	,	,	PUNCT
cana-1060	414	6	ranging	range	VERB
cana-1060	414	7	from	from	ADP
cana-1060	414	8	−50	−50	NUM
cana-1060	414	9	%	%	NOUN
cana-1060	414	10	to	to	ADP
cana-1060	414	11	+50	+50	NUM
cana-1060	414	12	%	%	NOUN
cana-1060	414	13	from	from	ADP
cana-1060	414	14	the	the	DET
cana-1060	414	15	original	original	ADJ
cana-1060	414	16	values	value	NOUN
cana-1060	414	17	.	.	PUNCT
cana-1060	415	1	furthermore	furthermore	ADV
cana-1060	415	2	,	,	PUNCT
cana-1060	415	3	changes	change	NOUN
cana-1060	415	4	are	be	AUX
cana-1060	415	5	only	only	ADV
cana-1060	415	6	considered	consider	VERB
cana-1060	415	7	for	for	ADP
cana-1060	415	8	one	one	NUM
cana-1060	415	9	parameter	parameter	NOUN
cana-1060	415	10	at	at	ADP
cana-1060	415	11	a	a	DET
cana-1060	415	12	time	time	NOUN
cana-1060	415	13	,	,	PUNCT
cana-1060	415	14	while	while	SCONJ
cana-1060	415	15	the	the	DET
cana-1060	415	16	others	other	NOUN
cana-1060	415	17	remain	remain	VERB
cana-1060	415	18	unaltered	unaltered	ADJ
cana-1060	415	19	.	.	PUNCT
cana-1060	416	1	the	the	DET
cana-1060	416	2	results	result	NOUN
cana-1060	416	3	of	of	ADP
cana-1060	416	4	this	this	DET
cana-1060	416	5	study	study	NOUN
cana-1060	416	6	are	be	AUX
cana-1060	416	7	displayed	display	VERB
cana-1060	416	8	in	in	ADP
cana-1060	416	9	table	table	NOUN
cana-1060	416	10	2	2	NUM
cana-1060	416	11	.	.	PUNCT
cana-1060	416	12	communications	communication	NOUN
cana-1060	416	13	on	on	ADP
cana-1060	416	14	applied	apply	VERB
cana-1060	416	15	nonlinear	nonlinear	ADJ
cana-1060	416	16	analysis	analysis	NOUN
cana-1060	416	17	issn	issn	NOUN
cana-1060	416	18	:	:	PUNCT
cana-1060	416	19	1074	1074	NUM
cana-1060	416	20	-	-	PUNCT
cana-1060	416	21	133x	133x	NUM
cana-1060	416	22	vol	vol	NOUN
cana-1060	416	23	31	31	NUM
cana-1060	416	24	no	no	NOUN
cana-1060	416	25	.	.	PUNCT
cana-1060	417	1	5s	5s	NUM
cana-1060	417	2	(	(	PUNCT
cana-1060	417	3	2024	2024	NUM
cana-1060	417	4	)	)	PUNCT
cana-1060	417	5	424	424	NUM
cana-1060	417	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	417	7	table	table	NOUN
cana-1060	417	8	2	2	NUM
cana-1060	417	9	sensitivity	sensitivity	NOUN
cana-1060	417	10	analysis	analysis	NOUN
cana-1060	417	11	for	for	ADP
cana-1060	417	12	some	some	DET
cana-1060	417	13	input	input	NOUN
cana-1060	417	14	parameters	parameter	NOUN
cana-1060	417	15	for	for	ADP
cana-1060	417	16	case	case	NOUN
cana-1060	417	17	i	i	PRON
cana-1060	417	18	parameter	parameter	VERB
cana-1060	417	19	%	%	NOUN
cana-1060	417	20	change	change	NOUN
cana-1060	417	21	of	of	ADP
cana-1060	417	22	parameter	parameter	NOUN
cana-1060	417	23	p	p	PROPN
cana-1060	418	1	t1	t1	PROPN
cana-1060	418	2	t	t	PROPN
cana-1060	418	3	s	s	PART
cana-1060	418	4	r	r	NOUN
cana-1060	418	5	q	q	X
cana-1060	418	6	1	1	NOUN
cana-1060	418	7	c	c	NOUN
cana-1060	418	8	−50	−50	NOUN
cana-1060	418	9	%	%	NOUN
cana-1060	418	10	27.90	27.90	NUM
cana-1060	418	11	1.5771	1.5771	NUM
cana-1060	418	12	1.8356	1.8356	NUM
cana-1060	418	13	146.5663	146.5663	NUM
cana-1060	418	14	26.8925	26.8925	NUM
cana-1060	418	15	173.4587	173.4587	NUM
cana-1060	418	16	2443.59	2443.59	NUM
cana-1060	418	17	−25	−25	ADJ
cana-1060	418	18	%	%	NOUN
cana-1060	418	19	27.81	27.81	NUM
cana-1060	418	20	1.5374	1.5374	NUM
cana-1060	418	21	1.8000	1.8000	NUM
cana-1060	418	22	144.1161	144.1161	NUM
cana-1060	418	23	27.3702	27.3702	NUM
cana-1060	418	24	171.4863	171.4863	NUM
cana-1060	418	25	2477.62	2477.62	NUM
cana-1060	418	26	+25	+25	NUM
cana-1060	418	27	%	%	NOUN
cana-1060	418	28	27.60	27.60	NUM
cana-1060	418	29	1.4619	1.4619	NUM
cana-1060	418	30	1.7320	1.7320	NUM
cana-1060	418	31	139.4923	139.4923	NUM
cana-1060	418	32	28.2878	28.2878	NUM
cana-1060	418	33	167.7801	167.7801	NUM
cana-1060	418	34	2547.51	2547.51	NUM
cana-1060	418	35	+50	+50	NUM
cana-1060	418	36	%	%	NOUN
cana-1060	418	37	27.49	27.49	NUM
cana-1060	418	38	1.4256	1.4256	NUM
cana-1060	418	39	1.6992	1.6992	NUM
cana-1060	418	40	137.2425	137.2425	NUM
cana-1060	418	41	28.7290	28.7290	NUM
cana-1060	418	42	165.9715	165.9715	NUM
cana-1060	418	43	2583.36	2583.36	NUM
cana-1060	418	44	h	h	NOUN
cana-1060	418	45	−50	−50	NOUN
cana-1060	418	46	%	%	NOUN
cana-1060	418	47	27.70	27.70	NUM
cana-1060	418	48	1.5001	1.5001	NUM
cana-1060	418	49	1.7663	1.7663	NUM
cana-1060	418	50	141.8822	141.8822	NUM
cana-1060	418	51	27.8177	27.8177	NUM
cana-1060	418	52	169.6999	169.6999	NUM
cana-1060	418	53	2512.67	2512.67	NUM
cana-1060	418	54	−25	−25	ADJ
cana-1060	418	55	%	%	NOUN
cana-1060	418	56	27.71	27.71	NUM
cana-1060	418	57	1.4996	1.4996	NUM
cana-1060	418	58	1.7660	1.7660	NUM
cana-1060	418	59	141.8016	141.8016	NUM
cana-1060	418	60	27.8287	27.8287	NUM
cana-1060	418	61	169.6303	169.6303	NUM
cana-1060	418	62	2512.47	2512.47	NUM
cana-1060	418	63	+25	+25	NUM
cana-1060	418	64	%	%	NOUN
cana-1060	418	65	27.71	27.71	NUM
cana-1060	418	66	1.4987	1.4987	NUM
cana-1060	418	67	1.7652	1.7652	NUM
cana-1060	418	68	141.7354	141.7354	NUM
cana-1060	418	69	27.8385	27.8385	NUM
cana-1060	418	70	169.5740	169.5740	NUM
cana-1060	418	71	2512.06	2512.06	NUM
cana-1060	418	72	+50	+50	NUM
cana-1060	418	73	%	%	NOUN
cana-1060	418	74	27.71	27.71	NUM
cana-1060	418	75	1.4982	1.4982	NUM
cana-1060	418	76	1.7649	1.7649	NUM
cana-1060	418	77	141.6987	141.6987	NUM
cana-1060	418	78	27.8582	27.8582	NUM
cana-1060	418	79	169.5569	169.5569	NUM
cana-1060	418	80	2511.85	2511.85	NUM
cana-1060	418	81	g	g	ADP
cana-1060	418	82	−50	−50	NOUN
cana-1060	418	83	%	%	NOUN
cana-1060	418	84	27.65	27.65	NUM
cana-1060	418	85	1.5055	1.5055	NUM
cana-1060	418	86	1.7693	1.7693	NUM
cana-1060	418	87	142.4989	142.4989	NUM
cana-1060	418	88	27.6245	27.6245	NUM
cana-1060	418	89	170.1234	170.1234	NUM
cana-1060	418	90	2518.52	2518.52	NUM
cana-1060	418	91	−25	−25	NOUN
cana-1060	418	92	%	%	NOUN
cana-1060	418	93	27.68	27.68	NUM
cana-1060	418	94	1.5023	1.5023	NUM
cana-1060	418	95	1.7675	1.7675	NUM
cana-1060	418	96	142.1317	142.1317	NUM
cana-1060	418	97	27.7366	27.7366	NUM
cana-1060	418	98	169.8683	169.8683	NUM
cana-1060	418	99	2515.39	2515.39	NUM
cana-1060	418	100	+25	+25	NUM
cana-1060	418	101	%	%	NOUN
cana-1060	418	102	27.74	27.74	NUM
cana-1060	418	103	1.4959	1.4959	NUM
cana-1060	418	104	1.7638	1.7638	NUM
cana-1060	418	105	141.3982	141.3982	NUM
cana-1060	418	106	27.9500	27.9500	NUM
cana-1060	418	107	169.3481	169.3481	NUM
cana-1060	418	108	2509.14	2509.14	NUM
cana-1060	418	109	+50	+50	NUM
cana-1060	418	110	%	%	NOUN
cana-1060	418	111	27.76	27.76	NUM
cana-1060	418	112	1.4927	1.4927	NUM
cana-1060	418	113	1.7619	1.7619	NUM
cana-1060	418	114	141.0755	141.0755	NUM
cana-1060	418	115	28.0600	28.0600	NUM
cana-1060	418	116	169.1355	169.1355	NUM
cana-1060	418	117	2506.03	2506.03	NUM
cana-1060	418	118	ic	ic	NOUN
cana-1060	418	119	−50	−50	ADJ
cana-1060	418	120	%	%	NOUN
cana-1060	418	121	27.45	27.45	NUM
cana-1060	418	122	1.5536	1.5536	NUM
cana-1060	418	123	1.8094	1.8094	NUM
cana-1060	418	124	146.9123	146.9123	NUM
cana-1060	418	125	27.0011	27.0011	NUM
cana-1060	418	126	173.9134	173.9134	NUM
cana-1060	418	127	2536.03	2536.03	NUM
cana-1060	418	128	−25	−25	NUM
cana-1060	418	129	%	%	NOUN
cana-1060	418	130	27.58	27.58	NUM
cana-1060	418	131	1.5260	1.5260	NUM
cana-1060	418	132	1.7872	1.7872	NUM
cana-1060	418	133	144.3124	144.3124	NUM
cana-1060	418	134	27.4275	27.4275	NUM
cana-1060	418	135	171.7399	171.7399	NUM
cana-1060	418	136	2524.03	2524.03	NUM
cana-1060	418	137	+25	+25	NUM
cana-1060	418	138	%	%	NOUN
cana-1060	418	139	27.83	27.83	NUM
cana-1060	418	140	1.4730	1.4730	NUM
cana-1060	418	141	1.7446	1.7446	NUM
cana-1060	418	142	139.3212	139.3212	NUM
cana-1060	418	143	28.2334	28.2334	NUM
cana-1060	418	144	167.5547	167.5547	NUM
cana-1060	418	145	2500.73	2500.73	NUM
cana-1060	418	146	+50	+50	NUM
cana-1060	418	147	%	%	NOUN
cana-1060	418	148	27.95	27.95	NUM
cana-1060	418	149	1.4474	1.4474	NUM
cana-1060	418	150	1.7241	1.7241	NUM
cana-1060	418	151	136.9159	136.9159	NUM
cana-1060	418	152	28.6235	28.6235	NUM
cana-1060	418	153	165.5394	165.5394	NUM
cana-1060	418	154	2489.43	2489.43	NUM
cana-1060	418	155	ie	ie	CCONJ
cana-1060	418	156	−50	−50	ADJ
cana-1060	418	157	%	%	NOUN
cana-1060	418	158	27.65	27.65	NUM
cana-1060	418	159	1.5168	1.5168	NUM
cana-1060	418	160	1.7773	1.7773	NUM
cana-1060	418	161	143.3278	143.3278	NUM
cana-1060	418	162	27.2993	27.2993	NUM
cana-1060	418	163	170.6270	170.6270	NUM
cana-1060	418	164	2504.66	2504.66	NUM
cana-1060	418	165	−25	−25	NOUN
cana-1060	418	166	%	%	NOUN
cana-1060	418	167	27.68	27.68	NUM
cana-1060	418	168	1.5080	1.5080	NUM
cana-1060	418	169	1.7715	1.7715	NUM
cana-1060	418	170	142.5501	142.5501	NUM
cana-1060	418	171	27.5694	27.5694	NUM
cana-1060	418	172	170.1195	170.1195	NUM
cana-1060	418	173	2508.44	2508.44	NUM
cana-1060	418	174	+25	+25	NUM
cana-1060	418	175	%	%	NOUN
cana-1060	418	176	27.74	27.74	NUM
cana-1060	418	177	1.4903	1.4903	NUM
cana-1060	418	178	1.7597	1.7597	NUM
cana-1060	418	179	140.9865	140.9865	NUM
cana-1060	418	180	28.0970	28.0970	NUM
cana-1060	418	181	169.0835	169.0835	NUM
cana-1060	418	182	2516.11	2516.11	NUM
cana-1060	418	183	+50	+50	NUM
cana-1060	418	184	%	%	NOUN
cana-1060	418	185	27.77	27.77	NUM
cana-1060	418	186	1.4814	1.4814	NUM
cana-1060	418	187	1.7537	1.7537	NUM
cana-1060	418	188	140.2006	140.2006	NUM
cana-1060	418	189	28.3545	28.3545	NUM
cana-1060	418	190	168.5551	168.5551	NUM
cana-1060	418	191	2519.99	2519.99	NUM
cana-1060	418	192			NUM
cana-1060	418	193	−50	−50	ADJ
cana-1060	418	194	%	%	NOUN
cana-1060	418	195	28.21	28.21	NUM
cana-1060	418	196	1.5097	1.5097	NUM
cana-1060	418	197	1.7832	1.7832	NUM
cana-1060	418	198	140.3352	140.3352	NUM
cana-1060	418	199	28.0831	28.0831	NUM
cana-1060	418	200	168.4183	168.4183	NUM
cana-1060	418	201	2424.99	2424.99	NUM
cana-1060	418	202	−25	−25	NOUN
cana-1060	418	203	%	%	NOUN
cana-1060	418	204	27.96	27.96	NUM
cana-1060	418	205	1.5044	1.5044	NUM
cana-1060	418	206	1.7744	1.7744	NUM
cana-1060	418	207	141.0533	141.0533	NUM
cana-1060	418	208	27.9638	27.9638	NUM
cana-1060	418	209	169.0170	169.0170	NUM
cana-1060	418	210	2468.43	2468.43	NUM
cana-1060	418	211	+25	+25	NUM
cana-1060	418	212	%	%	NOUN
cana-1060	418	213	27.46	27.46	NUM
cana-1060	418	214	1.4938	1.4938	NUM
cana-1060	418	215	1.7569	1.7569	NUM
cana-1060	418	216	142.4698	142.4698	NUM
cana-1060	418	217	27.7174	27.7174	NUM
cana-1060	418	218	170.1872	170.1872	NUM
cana-1060	418	219	2556.49	2556.49	NUM
cana-1060	418	220	+50	+50	NUM
cana-1060	418	221	%	%	NOUN
cana-1060	418	222	27.21	27.21	NUM
cana-1060	418	223	1.4885	1.4885	NUM
cana-1060	418	224	1.7482	1.7482	NUM
cana-1060	418	225	143.1682	143.1682	NUM
cana-1060	418	226	27.5906	27.5906	NUM
cana-1060	418	227	170.7587	170.7587	NUM
cana-1060	418	228	2601.12	2601.12	NUM
cana-1060	418	229	j	j	NOUN
cana-1060	418	230	−50	−50	ADJ
cana-1060	418	231	%	%	NOUN
cana-1060	418	232	28.18	28.18	NUM
cana-1060	418	233	1.5224	1.5224	NUM
cana-1060	418	234	1.7919	1.7919	NUM
cana-1060	418	235	141.3828	141.3828	NUM
cana-1060	418	236	27.7234	27.7234	NUM
cana-1060	418	237	169.1062	169.1062	NUM
cana-1060	418	238	2417.05	2417.05	NUM
cana-1060	418	239	−25	−25	NOUN
cana-1060	418	240	%	%	NOUN
cana-1060	418	241	27.95	27.95	NUM
cana-1060	418	242	1.5107	1.5107	NUM
cana-1060	418	243	1.7787	1.7787	NUM
cana-1060	418	244	141.5556	141.5556	NUM
cana-1060	418	245	27.7778	27.7778	NUM
cana-1060	418	246	169.3334	169.3334	NUM
cana-1060	418	247	2464.44	2464.44	NUM
cana-1060	418	248	+25	+25	NUM
cana-1060	418	249	%	%	NOUN
cana-1060	418	250	27.47	27.47	NUM
cana-1060	418	251	1.4876	1.4876	NUM
cana-1060	418	252	1.7526	1.7526	NUM
cana-1060	418	253	141.9662	141.9662	NUM
cana-1060	418	254	27.8970	27.8970	NUM
cana-1060	418	255	169.8632	169.8632	NUM
cana-1060	418	256	2560.51	2560.51	NUM
cana-1060	418	257	+50	+50	NUM
cana-1060	418	258	%	%	NOUN
cana-1060	418	259	27.24	27.24	NUM
cana-1060	418	260	1.4761	1.4761	NUM
cana-1060	418	261	1.7396	1.7396	NUM
cana-1060	418	262	142.1089	142.1089	NUM
cana-1060	418	263	27.9447	27.9447	NUM
cana-1060	418	264	170.0536	170.0536	NUM
cana-1060	418	265	2609.18	2609.18	NUM
cana-1060	418	266			NUM
cana-1060	418	267	−50	−50	NOUN
cana-1060	418	268	%	%	NOUN
cana-1060	418	269	28.06	28.06	NUM
cana-1060	418	270	1.4319	1.4319	NUM
cana-1060	418	271	1.8065	1.8065	NUM
cana-1060	418	272	135.3023	135.3023	NUM
cana-1060	418	273	39.4136	39.4136	NUM
cana-1060	418	274	174.7159	174.7159	NUM
cana-1060	418	275	2539.03	2539.03	NUM
cana-1060	418	276	−25	−25	NUM
cana-1060	418	277	%	%	NOUN
cana-1060	418	278	27.86	27.86	NUM
cana-1060	418	279	1.4708	1.4708	NUM
cana-1060	418	280	1.7821	1.7821	NUM
cana-1060	418	281	139.0293	139.0293	NUM
cana-1060	418	282	32.6104	32.6104	NUM
cana-1060	418	283	171.6397	171.6397	NUM
cana-1060	418	284	2523.38	2523.38	NUM
cana-1060	418	285	+25	+25	NUM
cana-1060	418	286	%	%	NOUN
cana-1060	418	287	27.59	27.59	NUM
cana-1060	418	288	1.5207	1.5207	NUM
cana-1060	418	289	1.7537	1.7537	NUM
cana-1060	418	290	143.8797	143.8797	NUM
cana-1060	418	291	24.2944	24.2944	NUM
cana-1060	418	292	168.1741	168.1741	NUM
cana-1060	418	293	2503.95	2503.95	NUM
cana-1060	418	294	+50	+50	NUM
cana-1060	418	295	%	%	NOUN
cana-1060	418	296	27.50	27.50	NUM
cana-1060	418	297	1.5376	1.5376	NUM
cana-1060	418	298	1.7447	1.7447	NUM
cana-1060	418	299	145.5186	145.5186	NUM
cana-1060	418	300	21.5606	21.5606	NUM
cana-1060	418	301	167.0792	167.0792	NUM
cana-1060	418	302	2497.50	2497.50	NUM
cana-1060	418	303			NUM
cana-1060	418	304	−50	−50	ADP
cana-1060	418	305	%	%	NOUN
cana-1060	418	306	26.70	26.70	NUM
cana-1060	418	307	1.9785	1.9785	NUM
cana-1060	418	308	2.3134	2.3134	NUM
cana-1060	418	309	118.6573	118.6573	NUM
cana-1060	418	310	23.4431	23.4431	NUM
cana-1060	418	311	142.1004	142.1004	NUM
cana-1060	418	312	1517.28	1517.28	NUM
cana-1060	418	313	−25	−25	NOUN
cana-1060	418	314	%	%	NOUN
cana-1060	418	315	27.28	27.28	NUM
cana-1060	418	316	1.7147	1.7147	NUM
cana-1060	418	317	2.0145	2.0145	NUM
cana-1060	418	318	129.3204	129.3204	NUM
cana-1060	418	319	25.5847	25.5847	NUM
cana-1060	418	320	154.9051	154.9051	NUM
cana-1060	418	321	1957.84	1957.84	NUM
cana-1060	418	322	+25	+25	NUM
cana-1060	418	323	%	%	NOUN
cana-1060	418	324	28.06	28.06	NUM
cana-1060	418	325	1.3122	1.3122	NUM
cana-1060	418	326	1.5478	1.5478	NUM
cana-1060	418	327	155.5248	155.5248	NUM
cana-1060	418	328	30.1814	30.1814	NUM
cana-1060	418	329	185.7063	185.7063	NUM
cana-1060	418	330	3208.50	3208.50	NUM
cana-1060	418	331	+50	+50	NUM
cana-1060	418	332	%	%	NOUN
cana-1060	418	333	28.36	28.36	NUM
cana-1060	418	334	1.1459	1.1459	NUM
cana-1060	418	335	1.3530	1.3530	NUM
cana-1060	418	336	170.3567	170.3567	NUM
cana-1060	418	337	32.5679	32.5679	NUM
cana-1060	418	338	202.9247	202.9247	NUM
cana-1060	418	339	4081.60	4081.60	NUM
cana-1060	418	340	table	table	NOUN
cana-1060	418	341	3	3	NUM
cana-1060	418	342	sensitivity	sensitivity	NOUN
cana-1060	418	343	analysis	analysis	NOUN
cana-1060	418	344	for	for	ADP
cana-1060	418	345	some	some	DET
cana-1060	418	346	input	input	NOUN
cana-1060	418	347	parameters	parameter	NOUN
cana-1060	418	348	for	for	ADP
cana-1060	418	349	case	case	NOUN
cana-1060	418	350	ii	ii	PROPN
cana-1060	418	351	parameter	parameter	NOUN
cana-1060	418	352	%	%	NOUN
cana-1060	418	353	change	change	NOUN
cana-1060	418	354	of	of	ADP
cana-1060	418	355	parameter	parameter	NOUN
cana-1060	418	356	p	p	PROPN
cana-1060	419	1	t1	t1	PROPN
cana-1060	419	2	t	t	PROPN
cana-1060	419	3	s	s	PART
cana-1060	419	4	r	r	NOUN
cana-1060	419	5	q	q	X
cana-1060	419	6	2	2	PROPN
cana-1060	420	1	c	c	NOUN
cana-1060	420	2	−50	−50	NOUN
cana-1060	420	3	%	%	NOUN
cana-1060	420	4	27.92	27.92	NUM
cana-1060	420	5	1.5344	1.5344	NUM
cana-1060	420	6	1.7944	1.7944	NUM
cana-1060	420	7	143.4068	143.4068	NUM
cana-1060	420	8	27.0225	27.0225	NUM
cana-1060	420	9	170.4293	170.4293	NUM
cana-1060	420	10	2497.32	2497.32	NUM
cana-1060	420	11	−25	−25	NOUN
cana-1060	420	12	%	%	NOUN
cana-1060	420	13	27.72	27.72	NUM
cana-1060	420	14	1.5136	1.5136	NUM
cana-1060	420	15	1.7728	1.7728	NUM
cana-1060	420	16	142.7837	142.7837	NUM
cana-1060	420	17	27.1122	27.1122	NUM
cana-1060	420	18	169.8959	169.8959	NUM
cana-1060	420	19	2542.48	2542.48	NUM
cana-1060	420	20	+25	+25	NUM
cana-1060	420	21	%	%	NOUN
cana-1060	420	22	27.31	27.31	NUM
cana-1060	420	23	1.4747	1.4747	NUM
cana-1060	420	24	1.7320	1.7320	NUM
cana-1060	420	25	141.7005	141.7005	NUM
cana-1060	420	26	27.2670	27.2670	NUM
cana-1060	420	27	168.9675	168.9675	NUM
cana-1060	420	28	2634.18	2634.18	NUM
cana-1060	420	29	+50	+50	NUM
cana-1060	420	30	%	%	NOUN
cana-1060	420	31	27.10	27.10	NUM
cana-1060	420	32	1.4563	1.4563	NUM
cana-1060	420	33	1.7127	1.7127	NUM
cana-1060	420	34	141.2215	141.2215	NUM
cana-1060	420	35	27.3517	27.3517	NUM
cana-1060	420	36	168.5732	168.5732	NUM
cana-1060	420	37	2680.73	2680.73	NUM
cana-1060	420	38	h	h	NOUN
cana-1060	420	39	−50	−50	NOUN
cana-1060	420	40	%	%	NOUN
cana-1060	420	41	27.51	27.51	NUM
cana-1060	420	42	1.4947	1.4947	NUM
cana-1060	420	43	1.7528	1.7528	NUM
cana-1060	420	44	142.3175	142.3175	NUM
cana-1060	420	45	27.1795	27.1795	NUM
cana-1060	420	46	169.4970	169.4970	NUM
cana-1060	420	47	2588.51	2588.51	NUM
cana-1060	420	48	communications	communication	NOUN
cana-1060	420	49	on	on	ADP
cana-1060	420	50	applied	apply	VERB
cana-1060	420	51	nonlinear	nonlinear	ADJ
cana-1060	420	52	analysis	analysis	NOUN
cana-1060	420	53	issn	issn	NOUN
cana-1060	420	54	:	:	PUNCT
cana-1060	420	55	1074	1074	NUM
cana-1060	420	56	-	-	PUNCT
cana-1060	420	57	133x	133x	NUM
cana-1060	420	58	vol	vol	NOUN
cana-1060	420	59	31	31	NUM
cana-1060	420	60	no	no	NOUN
cana-1060	420	61	.	.	PUNCT
cana-1060	421	1	5s	5s	NUM
cana-1060	421	2	(	(	PUNCT
cana-1060	421	3	2024	2024	NUM
cana-1060	421	4	)	)	PUNCT
cana-1060	421	5	425	425	NUM
cana-1060	421	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	421	7	−25	−25	ADJ
cana-1060	421	8	%	%	NOUN
cana-1060	421	9	27.51	27.51	NUM
cana-1060	421	10	1.4942	1.4942	NUM
cana-1060	421	11	1.7524	1.7524	NUM
cana-1060	421	12	142.2805	142.2805	NUM
cana-1060	421	13	27.1894	27.1894	NUM
cana-1060	421	14	169.4699	169.4699	NUM
cana-1060	421	15	2588.31	2588.31	NUM
cana-1060	421	16	+25	+25	NUM
cana-1060	421	17	%	%	NOUN
cana-1060	421	18	27.52	27.52	NUM
cana-1060	421	19	1.4933	1.4933	NUM
cana-1060	421	20	1.7517	1.7517	NUM
cana-1060	421	21	142.1701	142.1701	NUM
cana-1060	421	22	27.2009	27.2009	NUM
cana-1060	421	23	169.3710	169.3710	NUM
cana-1060	421	24	2587.89	2587.89	NUM
cana-1060	421	25	+50	+50	NUM
cana-1060	421	26	%	%	NOUN
cana-1060	421	27	27.52	27.52	NUM
cana-1060	421	28	1.4929	1.4929	NUM
cana-1060	421	29	1.7513	1.7513	NUM
cana-1060	421	30	142.1405	142.1405	NUM
cana-1060	421	31	27.2009	27.2009	NUM
cana-1060	421	32	169.3414	169.3414	NUM
cana-1060	421	33	2587.68	2587.68	NUM
cana-1060	421	34	g	g	ADP
cana-1060	421	35	−50	−50	NOUN
cana-1060	421	36	%	%	NOUN
cana-1060	421	37	27.46	27.46	NUM
cana-1060	421	38	1.5001	1.5001	NUM
cana-1060	421	39	1.7557	1.7557	NUM
cana-1060	421	40	142.9364	142.9364	NUM
cana-1060	421	41	26.9729	26.9729	NUM
cana-1060	421	42	169.9093	169.9093	NUM
cana-1060	421	43	2594.42	2594.42	NUM
cana-1060	421	44	−25	−25	NOUN
cana-1060	421	45	%	%	NOUN
cana-1060	421	46	27.49	27.49	NUM
cana-1060	421	47	1.4970	1.4970	NUM
cana-1060	421	48	1.7539	1.7539	NUM
cana-1060	421	49	142.5753	142.5753	NUM
cana-1060	421	50	27.071	27.071	NUM
cana-1060	421	51	169.6525	169.6525	NUM
cana-1060	421	52	2591.26	2591.26	NUM
cana-1060	421	53	+25	+25	NUM
cana-1060	421	54	%	%	NOUN
cana-1060	421	55	27.54	27.54	NUM
cana-1060	421	56	1.4906	1.4906	NUM
cana-1060	421	57	1.7502	1.7502	NUM
cana-1060	421	58	141.8828	141.8828	NUM
cana-1060	421	59	27.3030	27.3030	NUM
cana-1060	421	60	169.1858	169.1858	NUM
cana-1060	421	61	2584.95	2584.95	NUM
cana-1060	421	62	+50	+50	NUM
cana-1060	421	63	%	%	NOUN
cana-1060	421	64	27.57	27.57	NUM
cana-1060	421	65	1.4874	1.4874	NUM
cana-1060	421	66	1.7483	1.7483	NUM
cana-1060	421	67	141.5147	141.5147	NUM
cana-1060	421	68	27.4063	27.4063	NUM
cana-1060	421	69	168.9213	168.9213	NUM
cana-1060	421	70	2581.81	2581.81	NUM
cana-1060	421	71	ic	ic	NOUN
cana-1060	421	72	−50	−50	ADJ
cana-1060	421	73	%	%	NOUN
cana-1060	421	74	27.47	27.47	NUM
cana-1060	421	75	1.5121	1.5121	NUM
cana-1060	421	76	1.7692	1.7692	NUM
cana-1060	421	77	143.7789	143.7789	NUM
cana-1060	421	78	27.1137	27.1137	NUM
cana-1060	421	79	170.8926	170.8926	NUM
cana-1060	421	80	2590.24	2590.24	NUM
cana-1060	421	81	−25	−25	ADJ
cana-1060	421	82	%	%	NOUN
cana-1060	421	83	27.49	27.49	NUM
cana-1060	421	84	1.5028	1.5028	NUM
cana-1060	421	85	1.7605	1.7605	NUM
cana-1060	421	86	143.0042	143.0042	NUM
cana-1060	421	87	27.1566	27.1566	NUM
cana-1060	421	88	170.1608	170.1608	NUM
cana-1060	421	89	2589.16	2589.16	NUM
cana-1060	421	90	+25	+25	NUM
cana-1060	421	91	%	%	NOUN
cana-1060	421	92	27.53	27.53	NUM
cana-1060	421	93	1.4850	1.4850	NUM
cana-1060	421	94	1.7438	1.7438	NUM
cana-1060	421	95	141.5116	141.5116	NUM
cana-1060	421	96	27.2322	27.2322	NUM
cana-1060	421	97	168.7438	168.7438	NUM
cana-1060	421	98	2587.06	2587.06	NUM
cana-1060	421	99	+50	+50	NUM
cana-1060	421	100	%	%	NOUN
cana-1060	421	101	27.56	27.56	NUM
cana-1060	421	102	1.4766	1.4766	NUM
cana-1060	421	103	1.7359	1.7359	NUM
cana-1060	421	104	140.7579	140.7579	NUM
cana-1060	421	105	27.2565	27.2565	NUM
cana-1060	421	106	168.0144	168.0144	NUM
cana-1060	421	107	2586.05	2586.05	NUM
cana-1060	421	108	ie	ie	CCONJ
cana-1060	421	109	−50	−50	ADJ
cana-1060	421	110	%	%	NOUN
cana-1060	421	111	27.33	27.33	NUM
cana-1060	421	112	1.5481	1.5481	NUM
cana-1060	421	113	1.7950	1.7950	NUM
cana-1060	421	114	147.0509	147.0509	NUM
cana-1060	421	115	26.2105	26.2105	NUM
cana-1060	421	116	173.2614	173.2614	NUM
cana-1060	421	117	2564.33	2564.33	NUM
cana-1060	421	118	−25	−25	NUM
cana-1060	421	119	%	%	NOUN
cana-1060	421	120	27.42	27.42	NUM
cana-1060	421	121	1.5209	1.5209	NUM
cana-1060	421	122	1.7736	1.7736	NUM
cana-1060	421	123	144.6471	144.6471	NUM
cana-1060	421	124	26.7172	26.7172	NUM
cana-1060	421	125	171.3663	171.3663	NUM
cana-1060	421	126	2576.10	2576.10	NUM
cana-1060	421	127	+25	+25	NUM
cana-1060	421	128	%	%	NOUN
cana-1060	421	129	27.60	27.60	NUM
cana-1060	421	130	1,4665	1,4665	PROPN
cana-1060	421	131	1.7303	1.7303	NUM
cana-1060	421	132	139.8345	139.8345	NUM
cana-1060	421	133	27.6672	27.6672	NUM
cana-1060	421	134	167.5017	167.5017	NUM
cana-1060	421	135	2600.34	2600.34	NUM
cana-1060	421	136	+50	+50	NUM
cana-1060	421	137	%	%	NOUN
cana-1060	421	138	27.69	27.69	NUM
cana-1060	421	139	1.4392	1.4392	NUM
cana-1060	421	140	1.7083	1.7083	NUM
cana-1060	421	141	137.4151	137.4151	NUM
cana-1060	421	142	28.1111	28.1111	NUM
cana-1060	421	143	165.5262	165.5262	NUM
cana-1060	421	144	2612.82	2612.82	NUM
cana-1060	421	145			PUNCT
cana-1060	421	146	−50	−50	ADJ
cana-1060	421	147	%	%	NOUN
cana-1060	421	148	28.08	28.08	NUM
cana-1060	421	149	1.4783	1.4783	NUM
cana-1060	421	150	1.7470	1.7470	NUM
cana-1060	421	151	138.6258	138.6258	NUM
cana-1060	421	152	27.7330	27.7330	NUM
cana-1060	421	153	166.3588	166.3588	NUM
cana-1060	421	154	2511.33	2511.33	NUM
cana-1060	421	155	−25	−25	ADJ
cana-1060	421	156	%	%	NOUN
cana-1060	421	157	27.80	27.80	NUM
cana-1060	421	158	1.4861	1.4861	NUM
cana-1060	421	159	1.7496	1.7496	NUM
cana-1060	421	160	140.4157	140.4157	NUM
cana-1060	421	161	27.4670	27.4670	NUM
cana-1060	421	162	167.8828	167.8828	NUM
cana-1060	421	163	2549.87	2549.87	NUM
cana-1060	421	164	+25	+25	NUM
cana-1060	421	165	%	%	NOUN
cana-1060	421	166	27.23	27.23	NUM
cana-1060	421	167	1.5012	1.5012	NUM
cana-1060	421	168	1.7544	1.7544	NUM
cana-1060	421	169	144.0287	144.0287	NUM
cana-1060	421	170	26.9231	26.9231	NUM
cana-1060	421	171	170.9518	170.9518	NUM
cana-1060	421	172	2627.14	2627.14	NUM
cana-1060	421	173	+50	+50	NUM
cana-1060	421	174	%	%	NOUN
cana-1060	421	175	26.94	26.94	NUM
cana-1060	421	176	1.5085	1.5085	NUM
cana-1060	421	177	1.7567	1.7567	NUM
cana-1060	421	178	145.8515	145.8515	NUM
cana-1060	421	179	26.6552	26.6552	NUM
cana-1060	421	180	172.5067	172.5067	NUM
cana-1060	421	181	2666.62	2666.62	NUM
cana-1060	421	182	j	j	NOUN
cana-1060	421	183	−50	−50	ADJ
cana-1060	421	184	%	%	NOUN
cana-1060	421	185	27.98	27.98	NUM
cana-1060	421	186	1.5157	1.5157	NUM
cana-1060	421	187	1.7770	1.7770	NUM
cana-1060	421	188	141.7860	141.7860	NUM
cana-1060	421	189	27.0989	27.0989	NUM
cana-1060	421	190	168.8848	168.8848	NUM
cana-1060	421	191	2492.23	2492.23	NUM
cana-1060	421	192	−25	−25	NOUN
cana-1060	421	193	%	%	NOUN
cana-1060	422	1	27.75	27.75	NUM
cana-1060	422	2	1.5047	1.5047	NUM
cana-1060	422	3	1.7645	1.7645	NUM
cana-1060	422	4	141.9998	141.9998	NUM
cana-1060	422	5	27.1460	27.1460	NUM
cana-1060	422	6	169.1458	169.1458	NUM
cana-1060	422	7	2539.96	2539.96	NUM
cana-1060	422	8	+25	+25	NUM
cana-1060	422	9	%	%	NOUN
cana-1060	422	10	27.28	27.28	NUM
cana-1060	422	11	1.4829	1.4829	NUM
cana-1060	422	12	1.7397	1.7397	NUM
cana-1060	422	13	142.4442	142.4442	NUM
cana-1060	422	14	27.2420	27.2420	NUM
cana-1060	422	15	169.6863	169.6863	NUM
cana-1060	422	16	2636.66	2636.66	NUM
cana-1060	422	17	+50	+50	NUM
cana-1060	422	18	%	%	NOUN
cana-1060	422	19	27.05	27.05	NUM
cana-1060	422	20	1.4721	1.4721	NUM
cana-1060	422	21	1.7274	1.7274	NUM
cana-1060	422	22	142.6313	142.6313	NUM
cana-1060	422	23	27.2826	27.2826	NUM
cana-1060	422	24	169.9139	169.9139	NUM
cana-1060	422	25	2685.64	2685.64	NUM
cana-1060	422	26			NUM
cana-1060	422	27	−50	−50	NOUN
cana-1060	422	28	%	%	NOUN
cana-1060	422	29	27.88	27.88	NUM
cana-1060	422	30	1.4283	1.4283	NUM
cana-1060	422	31	1.7929	1.7929	NUM
cana-1060	422	32	135.7971	135.7971	NUM
cana-1060	422	33	38.6224	38.6224	NUM
cana-1060	422	34	174.4195	174.4195	NUM
cana-1060	422	35	2614.08	2614.08	NUM
cana-1060	422	36	−25	−25	ADJ
cana-1060	422	37	%	%	NOUN
cana-1060	422	38	27.67	27.67	NUM
cana-1060	422	39	1.4663	1.4663	NUM
cana-1060	422	40	1.7686	1.7686	NUM
cana-1060	422	41	139.5176	139.5176	NUM
cana-1060	422	42	31.9039	31.9039	NUM
cana-1060	422	43	171.4215	171.4215	NUM
cana-1060	422	44	2598.87	2598.87	NUM
cana-1060	422	45	+25	+25	ADJ
cana-1060	422	46	%	%	NOUN
cana-1060	422	47	27.39	27.39	NUM
cana-1060	422	48	1.5146	1.5146	NUM
cana-1060	422	49	1.7401	1.7401	NUM
cana-1060	422	50	144.3173	144.3173	NUM
cana-1060	422	51	23.7071	23.7071	NUM
cana-1060	422	52	168.0244	168.0244	NUM
cana-1060	422	53	2580.07	2580.07	NUM
cana-1060	422	54	+50	+50	NUM
cana-1060	422	55	%	%	NOUN
cana-1060	422	56	27.30	27.30	NUM
cana-1060	422	57	1.5310	1.5310	NUM
cana-1060	422	58	1.7311	1.7311	NUM
cana-1060	422	59	145.9278	145.9278	NUM
cana-1060	422	60	21.0090	21.0090	NUM
cana-1060	422	61	166.9368	166.9368	PROPN
cana-1060	422	62	2573.85	2573.85	NUM
cana-1060	422	63			NUM
cana-1060	422	64	−50	−50	ADJ
cana-1060	422	65	%	%	NOUN
cana-1060	422	66	26.50	26.50	NUM
cana-1060	422	67	1.9610	1.9610	NUM
cana-1060	422	68	2.2863	2.2863	NUM
cana-1060	422	69	118.6259	118.6259	NUM
cana-1060	422	70	22.9563	22.9563	NUM
cana-1060	422	71	141.5822	141.5822	NUM
cana-1060	422	72	1566.55	1566.55	NUM
cana-1060	422	73	−25	−25	NUM
cana-1060	422	74	%	%	NOUN
cana-1060	422	75	27.08	27.08	NUM
cana-1060	422	76	1.7061	1.7061	NUM
cana-1060	422	77	1.9970	1.9970	NUM
cana-1060	422	78	129.6199	129.6199	NUM
cana-1060	422	79	25.0265	25.0265	NUM
cana-1060	422	80	154.6464	154.6464	NUM
cana-1060	422	81	2019.03	2019.03	NUM
cana-1060	422	82	+25	+25	NUM
cana-1060	423	1	%	%	NOUN
cana-1060	423	2	27.88	27.88	NUM
cana-1060	423	3	1.3082	1.3082	NUM
cana-1060	423	4	1.5362	1.5362	NUM
cana-1060	423	5	156.0246	156.0246	NUM
cana-1060	423	6	29.4234	29.4234	NUM
cana-1060	423	7	185.4480	185.4480	NUM
cana-1060	423	8	3302.44	3302.44	NUM
cana-1060	423	9	+50	+50	NUM
cana-1060	423	10	%	%	NOUN
cana-1060	423	11	28.21	28.21	NUM
cana-1060	423	12	1.1421	1.1421	NUM
cana-1060	423	13	1.3423	1.3423	NUM
cana-1060	423	14	170.7133	170.7133	NUM
cana-1060	423	15	31.6825	31.6825	NUM
cana-1060	423	16	202.3958	202.3958	NUM
cana-1060	423	17	4197.97	4197.97	NUM
cana-1060	423	18	table	table	NOUN
cana-1060	423	19	4	4	NUM
cana-1060	423	20	sensitivity	sensitivity	NOUN
cana-1060	423	21	analysis	analysis	NOUN
cana-1060	423	22	for	for	ADP
cana-1060	423	23	some	some	DET
cana-1060	423	24	input	input	NOUN
cana-1060	423	25	parameters	parameter	NOUN
cana-1060	423	26	for	for	ADP
cana-1060	423	27	case	case	NOUN
cana-1060	423	28	iii	iii	NUM
cana-1060	423	29	parameter	parameter	NOUN
cana-1060	423	30	%	%	NOUN
cana-1060	423	31	change	change	NOUN
cana-1060	423	32	of	of	ADP
cana-1060	423	33	parameter	parameter	NOUN
cana-1060	423	34	p	p	PROPN
cana-1060	424	1	t1	t1	PROPN
cana-1060	424	2	t	t	PROPN
cana-1060	424	3	s	s	PART
cana-1060	424	4	r	r	NOUN
cana-1060	424	5	q	q	PUNCT
cana-1060	424	6	3	3	X
cana-1060	425	1	c	c	NOUN
cana-1060	425	2	−50	−50	NOUN
cana-1060	425	3	%	%	NOUN
cana-1060	425	4	26.07	26.07	NUM
cana-1060	425	5	2.1972	2.1972	NUM
cana-1060	425	6	2.4194	2.4194	NUM
cana-1060	425	7	19.6556	19.6556	NUM
cana-1060	425	8	24.6364	24.6364	NUM
cana-1060	425	9	221.2920	221.2920	NUM
cana-1060	425	10	2578.26	2578.26	NUM
cana-1060	425	11	−25	−25	ADJ
cana-1060	425	12	%	%	NOUN
cana-1060	425	13	26.11	26.11	NUM
cana-1060	425	14	2.2147	2.2147	NUM
cana-1060	425	15	2.4415	2.4415	NUM
cana-1060	425	16	197.4188	197.4188	NUM
cana-1060	425	17	25.0904	25.0904	NUM
cana-1060	425	18	222.5091	222.5091	NUM
cana-1060	425	19	2624.73	2624.73	NUM
cana-1060	425	20	+25	+25	NUM
cana-1060	425	21	%	%	NOUN
cana-1060	425	22	25.31	25.31	NUM
cana-1060	425	23	2.2291	2.2291	NUM
cana-1060	425	24	2.4510	2.4510	NUM
cana-1060	425	25	202.9076	202.9076	NUM
cana-1060	425	26	25.1560	25.1560	NUM
cana-1060	425	27	228.0636	228.0636	NUM
cana-1060	425	28	2715.45	2715.45	NUM
cana-1060	425	29	+50	+50	NUM
cana-1060	425	30	%	%	NOUN
cana-1060	425	31	25.05	25.05	NUM
cana-1060	425	32	2.2454	2.2454	NUM
cana-1060	425	33	2.4685	2.4685	NUM
cana-1060	425	34	205.3628	205.3628	NUM
cana-1060	425	35	25.4746	25.4746	NUM
cana-1060	425	36	230.8374	230.8374	NUM
cana-1060	425	37	2762.30	2762.30	NUM
cana-1060	425	38	h	h	NOUN
cana-1060	425	39	−50	−50	NOUN
cana-1060	425	40	%	%	NOUN
cana-1060	425	41	25.51	25.51	NUM
cana-1060	425	42	2.2322	2.2322	NUM
cana-1060	425	43	2.4521	2.4521	NUM
cana-1060	425	44	201.9140	201.9140	NUM
cana-1060	425	45	24.7969	24.7969	NUM
cana-1060	425	46	226.7109	226.7109	NUM
cana-1060	425	47	2671.40	2671.40	NUM
cana-1060	425	48	−25	−25	NOUN
cana-1060	425	49	%	%	NOUN
cana-1060	425	50	25.51	25.51	NUM
cana-1060	425	51	2.2314	2.2314	NUM
cana-1060	425	52	2.4516	2.4516	NUM
cana-1060	425	53	201.8686	201.8686	NUM
cana-1060	425	54	24.8290	24.8290	NUM
cana-1060	425	55	226.6976	226.6976	NUM
cana-1060	425	56	2671.03	2671.03	NUM
cana-1060	425	57	+25	+25	NUM
cana-1060	425	58	%	%	NOUN
cana-1060	425	59	25.52	25.52	NUM
cana-1060	425	60	2.2298	2.2298	NUM
cana-1060	425	61	2.4505	2.4505	NUM
cana-1060	425	62	201.7191	201.7191	NUM
cana-1060	425	63	24.8753	24.8753	NUM
cana-1060	425	64	226.5944	226.5944	NUM
cana-1060	425	65	2670.28	2670.28	NUM
cana-1060	425	66	+50	+50	NUM
cana-1060	425	67	%	%	NOUN
cana-1060	425	68	25.58	25.58	NUM
cana-1060	425	69	2.2158	2.2158	NUM
cana-1060	425	70	2.4383	2.4383	NUM
cana-1060	425	71	200.5693	200.5693	NUM
cana-1060	425	72	25.0242	25.0242	NUM
cana-1060	425	73	225.5935	225.5935	NUM
cana-1060	425	74	2668.62	2668.62	NUM
cana-1060	425	75	g	g	ADP
cana-1060	425	76	−50	−50	NOUN
cana-1060	425	77	%	%	NOUN
cana-1060	425	78	25.45	25.45	NUM
cana-1060	425	79	2.2369	2.2369	NUM
cana-1060	425	80	2.4537	2.4537	NUM
cana-1060	425	81	202.5322	202.5322	NUM
cana-1060	425	82	24.5073	24.5073	NUM
cana-1060	425	83	227.0394	227.0394	NUM
cana-1060	425	84	2678.36	2678.36	NUM
cana-1060	425	85	−25	−25	NUM
cana-1060	425	86	%	%	NOUN
cana-1060	425	87	25.49	25.49	NUM
cana-1060	425	88	2.2335	2.2335	NUM
cana-1060	425	89	2.4522	2.4522	NUM
cana-1060	425	90	202.1049	202.1049	NUM
cana-1060	425	91	24.6827	24.6827	NUM
cana-1060	425	92	226.7876	226.7876	NUM
cana-1060	425	93	2674.49	2674.49	NUM
cana-1060	425	94	+25	+25	NUM
cana-1060	425	95	%	%	NOUN
cana-1060	425	96	25.55	25.55	NUM
cana-1060	425	97	2.2284	2.2284	NUM
cana-1060	425	98	2.4506	2.4506	NUM
cana-1060	425	99	201.4640	201.4640	NUM
cana-1060	425	100	25.0140	25.0140	NUM
cana-1060	425	101	226.4780	226.4780	NUM
cana-1060	425	102	2666.92	2666.92	NUM
cana-1060	425	103	+50	+50	NUM
cana-1060	425	104	%	%	NOUN
cana-1060	425	105	25.58	25.58	NUM
cana-1060	425	106	2.2267	2.2267	NUM
cana-1060	425	107	2.4505	2.4505	NUM
cana-1060	425	108	201.1919	201.1919	NUM
cana-1060	425	109	25.1630	25.1630	NUM
cana-1060	425	110	226.3549	226.3549	NUM
cana-1060	425	111	2663.22	2663.22	NUM
cana-1060	425	112	communications	communication	NOUN
cana-1060	425	113	on	on	ADP
cana-1060	425	114	applied	apply	VERB
cana-1060	425	115	nonlinear	nonlinear	ADJ
cana-1060	425	116	analysis	analysis	NOUN
cana-1060	425	117	issn	issn	NOUN
cana-1060	425	118	:	:	PUNCT
cana-1060	425	119	1074	1074	NUM
cana-1060	425	120	-	-	PUNCT
cana-1060	425	121	133x	133x	NUM
cana-1060	425	122	vol	vol	NOUN
cana-1060	425	123	31	31	NUM
cana-1060	425	124	no	no	NOUN
cana-1060	425	125	.	.	PUNCT
cana-1060	426	1	5s	5s	NUM
cana-1060	426	2	(	(	PUNCT
cana-1060	426	3	2024	2024	NUM
cana-1060	426	4	)	)	PUNCT
cana-1060	426	5	426	426	NUM
cana-1060	426	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	426	7	ie	ie	X
cana-1060	426	8	−50	−50	ADJ
cana-1060	426	9	%	%	NOUN
cana-1060	426	10	25.54	25.54	NUM
cana-1060	426	11	2.2638	2.2638	NUM
cana-1060	426	12	2.4993	2.4993	NUM
cana-1060	426	13	203.5101	203.5101	NUM
cana-1060	426	14	26.4385	26.4385	NUM
cana-1060	427	1	229.9486	229.9486	NUM
cana-1060	427	2	2598.58	2598.58	NUM
cana-1060	427	3	−25	−25	ADJ
cana-1060	427	4	%	%	NOUN
cana-1060	427	5	25.80	25.80	NUM
cana-1060	427	6	2.2527	2.2527	NUM
cana-1060	427	7	2.4852	2.4852	NUM
cana-1060	427	8	201.3618	201.3618	NUM
cana-1060	427	9	25.9225	25.9225	NUM
cana-1060	427	10	227.2843	227.2843	NUM
cana-1060	427	11	2635.77	2635.77	NUM
cana-1060	427	12	+25	+25	NUM
cana-1060	427	13	%	%	NOUN
cana-1060	427	14	25.59	25.59	NUM
cana-1060	427	15	2.2060	2.2060	NUM
cana-1060	427	16	2.4226	2.4226	NUM
cana-1060	427	17	199.9472	199.9472	NUM
cana-1060	427	18	24.3866	24.3866	NUM
cana-1060	428	1	224.3337	224.3337	NUM
cana-1060	428	2	2703.33	2703.33	NUM
cana-1060	428	3	+50	+50	NUM
cana-1060	428	4	%	%	NOUN
cana-1060	428	5	26.08	26.08	NUM
cana-1060	428	6	2.1800	2.1800	NUM
cana-1060	428	7	2.4008	2.4008	NUM
cana-1060	428	8	195.6069	195.6069	NUM
cana-1060	428	9	24.4818	24.4818	NUM
cana-1060	428	10	220.0888	220.0888	NUM
cana-1060	428	11	2734.36	2734.36	NUM
cana-1060	428	12			X
cana-1060	428	13	−50	−50	ADJ
cana-1060	428	14	%	%	NOUN
cana-1060	428	15	26.43	26.43	NUM
cana-1060	428	16	2.1555	2.1555	NUM
cana-1060	428	17	2.3800	2.3800	NUM
cana-1060	428	18	192.1725	192.1725	NUM
cana-1060	428	19	24.6144	24.6144	NUM
cana-1060	428	20	216.7869	216.7869	NUM
cana-1060	428	21	2618.74	2618.74	NUM
cana-1060	428	22	−25	−25	NOUN
cana-1060	428	23	%	%	NOUN
cana-1060	428	24	26.03	26.03	NUM
cana-1060	428	25	2.1967	2.1967	NUM
cana-1060	428	26	2.4190	2.4190	NUM
cana-1060	428	27	196.8587	196.8587	NUM
cana-1060	428	28	24.6760	24.6760	NUM
cana-1060	428	29	221.5347	221.5347	NUM
cana-1060	428	30	2646.13	2646.13	NUM
cana-1060	428	31	+25	+25	NUM
cana-1060	428	32	%	%	NOUN
cana-1060	428	33	25.64	25.64	NUM
cana-1060	428	34	2.2677	2.2677	NUM
cana-1060	428	35	2.4993	2.4993	NUM
cana-1060	428	36	203.1346	203.1346	NUM
cana-1060	428	37	25.9483	25.9483	NUM
cana-1060	428	38	229.0829	229.0829	NUM
cana-1060	428	39	2694.03	2694.03	NUM
cana-1060	428	40	+50	+50	NUM
cana-1060	428	41	%	%	NOUN
cana-1060	428	42	25.23	25.23	NUM
cana-1060	428	43	2.2661	2.2661	NUM
cana-1060	428	44	2.5012	2.5012	NUM
cana-1060	428	45	205.4693	205.4693	NUM
cana-1060	428	46	26.6335	26.6335	NUM
cana-1060	428	47	232.1027	232.1027	NUM
cana-1060	428	48	2713.95	2713.95	NUM
cana-1060	428	49	j	j	NOUN
cana-1060	428	50	−50	−50	ADJ
cana-1060	428	51	%	%	NOUN
cana-1060	428	52	26.09	26.09	NUM
cana-1060	428	53	2.1952	2.1952	NUM
cana-1060	428	54	2.4176	2.4176	NUM
cana-1060	428	55	196.4251	196.4251	NUM
cana-1060	428	56	24.6429	24.6429	NUM
cana-1060	428	57	221.0680	221.0680	NUM
cana-1060	428	58	2575.32	2575.32	NUM
cana-1060	428	59	−25	−25	ADJ
cana-1060	428	60	%	%	NOUN
cana-1060	428	61	26.10	26.10	NUM
cana-1060	428	62	2.2138	2.2138	NUM
cana-1060	428	63	2.4405	2.4405	NUM
cana-1060	428	64	197.4261	197.4261	NUM
cana-1060	428	65	25.0873	25.0873	NUM
cana-1060	428	66	222.5134	222.5134	NUM
cana-1060	428	67	2623.27	2623.27	NUM
cana-1060	428	68	+25	+25	NUM
cana-1060	428	69	%	%	NOUN
cana-1060	428	70	25.25	25.25	NUM
cana-1060	428	71	2.2453	2.2453	NUM
cana-1060	428	72	2.4659	2.4659	NUM
cana-1060	428	73	204.1820	204.1820	NUM
cana-1060	428	74	25.0593	25.0593	NUM
cana-1060	428	75	229.2413	229.2413	NUM
cana-1060	428	76	2718.42	2718.42	NUM
cana-1060	428	77	+50	+50	NUM
cana-1060	428	78	%	%	NOUN
cana-1060	428	79	25.04	25.04	NUM
cana-1060	428	80	2.2467	2.2467	NUM
cana-1060	428	81	2.4699	2.4699	NUM
cana-1060	428	82	205.4956	205.4956	NUM
cana-1060	428	83	25.4927	25.4927	NUM
cana-1060	428	84	230.9883	230.9883	NUM
cana-1060	428	85	2765.24	2765.24	NUM
cana-1060	429	1			NUM
cana-1060	429	2	−50	−50	NOUN
cana-1060	429	3	%	%	NOUN
cana-1060	429	4	25.99	25.99	NUM
cana-1060	429	5	2.1856	2.1856	NUM
cana-1060	429	6	2.5164	2.5164	NUM
cana-1060	429	7	196.4251	196.4251	NUM
cana-1060	429	8	24.6429	24.6429	NUM
cana-1060	429	9	221.0680	221.0680	NUM
cana-1060	429	10	2575.32	2575.32	NUM
cana-1060	429	11	−25	−25	ADJ
cana-1060	429	12	%	%	NOUN
cana-1060	429	13	25.69	25.69	NUM
cana-1060	429	14	2.2034	2.2034	NUM
cana-1060	429	15	2.4681	2.4681	NUM
cana-1060	429	16	197.4261	197.4261	NUM
cana-1060	429	17	25.0873	25.0873	NUM
cana-1060	429	18	222.5134	222.5134	NUM
cana-1060	429	19	2623.27	2623.27	NUM
cana-1060	429	20	+25	+25	NUM
cana-1060	429	21	%	%	NOUN
cana-1060	429	22	25.43	25.43	NUM
cana-1060	429	23	2.2408	2.2408	NUM
cana-1060	429	24	2.4317	2.4317	NUM
cana-1060	429	25	204.1820	204.1820	NUM
cana-1060	429	26	25.0593	25.0593	NUM
cana-1060	429	27	229.2413	229.2413	NUM
cana-1060	429	28	2718.42	2718.42	NUM
cana-1060	429	29	+50	+50	NUM
cana-1060	429	30	%	%	NOUN
cana-1060	429	31	25.48	25.48	NUM
cana-1060	429	32	2.2628	2.2628	NUM
cana-1060	429	33	2.4320	2.4320	NUM
cana-1060	429	34	205.4956	205.4956	NUM
cana-1060	429	35	25.4927	25.4927	NUM
cana-1060	429	36	230.9883	230.9883	NUM
cana-1060	429	37	2765.24	2765.24	NUM
cana-1060	429	38	case	case	NOUN
cana-1060	429	39	i	i	PRON
cana-1060	429	40	case	case	NOUN
cana-1060	429	41	ii	ii	NOUN
cana-1060	429	42	1	1	NUM
cana-1060	429	43	1.2	1.2	NUM
cana-1060	429	44	1.4	1.4	NUM
cana-1060	429	45	1.6	1.6	NUM
cana-1060	429	46	1.8	1.8	NUM
cana-1060	429	47	2	2	NUM
cana-1060	429	48	1	1	NUM
cana-1060	429	49	1.5	1.5	NUM
cana-1060	429	50	2	2	NUM
cana-1060	429	51	2.5	2.5	NUM
cana-1060	429	52	1400	1400	NUM
cana-1060	429	53	1600	1600	NUM
cana-1060	429	54	1800	1800	NUM
cana-1060	429	55	2000	2000	NUM
cana-1060	429	56	2200	2200	NUM
cana-1060	429	57	2400	2400	NUM
cana-1060	429	58	2600	2600	NUM
cana-1060	429	59	t1	t1	NOUN
cana-1060	429	60	figure	figure	NOUN
cana-1060	429	61	2	2	NUM
cana-1060	429	62	.	.	PUNCT
cana-1060	429	63	concavity	concavity	NOUN
cana-1060	429	64	of	of	ADP
cana-1060	429	65	the	the	DET
cana-1060	429	66	total	total	ADJ
cana-1060	429	67	profit	profit	NOUN
cana-1060	429	68	function	function	NOUN
cana-1060	429	69	with	with	ADP
cana-1060	429	70	respect	respect	NOUN
cana-1060	429	71	to	to	ADP
cana-1060	429	72	t1	t1	NOUN
cana-1060	429	73	and	and	CCONJ
cana-1060	429	74	t	t	PROPN
cana-1060	429	75	t	t	PROPN
cana-1060	429	76	t	t	X
cana-1060	429	77	o	o	X
cana-1060	429	78	ta	ta	ADP
cana-1060	429	79	l	l	PROPN
cana-1060	429	80	p	p	X
cana-1060	429	81	ro	ro	PROPN
cana-1060	429	82	fi	fi	NOUN
cana-1060	429	83	t	t	PROPN
cana-1060	429	84	26.5	26.5	NUM
cana-1060	429	85	27	27	NUM
cana-1060	429	86	27.5	27.5	NUM
cana-1060	429	87	28	28	NUM
cana-1060	429	88	28.5	28.5	NUM
cana-1060	429	89	1	1	NUM
cana-1060	429	90	1.5	1.5	NUM
cana-1060	429	91	2	2	NUM
cana-1060	429	92	2.5	2.5	NUM
cana-1060	429	93	2300	2300	NUM
cana-1060	429	94	2350	2350	NUM
cana-1060	429	95	2400	2400	NUM
cana-1060	429	96	2450	2450	NUM
cana-1060	429	97	2500	2500	NUM
cana-1060	429	98	2550	2550	NUM
cana-1060	430	1	p	p	NOUN
cana-1060	430	2	figure	figure	NOUN
cana-1060	430	3	3	3	NUM
cana-1060	430	4	.	.	PUNCT
cana-1060	430	5	concavity	concavity	NOUN
cana-1060	430	6	of	of	ADP
cana-1060	430	7	the	the	DET
cana-1060	430	8	total	total	ADJ
cana-1060	430	9	profit	profit	NOUN
cana-1060	430	10	function	function	NOUN
cana-1060	430	11	with	with	ADP
cana-1060	430	12	respect	respect	NOUN
cana-1060	430	13	to	to	ADP
cana-1060	430	14	p	p	NOUN
cana-1060	430	15	and	and	CCONJ
cana-1060	430	16	t	t	PROPN
cana-1060	430	17	t	t	PROPN
cana-1060	430	18	t	t	X
cana-1060	430	19	o	o	X
cana-1060	430	20	ta	ta	ADP
cana-1060	430	21	l	l	PROPN
cana-1060	430	22	p	p	X
cana-1060	431	1	ro	ro	PROPN
cana-1060	431	2	fi	fi	PROPN
cana-1060	431	3	t	t	PROPN
cana-1060	431	4	1	1	NUM
cana-1060	431	5	1.2	1.2	NUM
cana-1060	431	6	1.4	1.4	NUM
cana-1060	431	7	1.6	1.6	NUM
cana-1060	431	8	1.8	1.8	NUM
cana-1060	431	9	2	2	NUM
cana-1060	431	10	1	1	NUM
cana-1060	431	11	1.5	1.5	NUM
cana-1060	431	12	2	2	NUM
cana-1060	431	13	2.5	2.5	NUM
cana-1060	431	14	1400	1400	NUM
cana-1060	431	15	1600	1600	NUM
cana-1060	431	16	1800	1800	NUM
cana-1060	431	17	2000	2000	NUM
cana-1060	431	18	2200	2200	NUM
cana-1060	431	19	2400	2400	NUM
cana-1060	431	20	2600	2600	NUM
cana-1060	431	21	t1	t1	NOUN
cana-1060	431	22	figure	figure	NOUN
cana-1060	431	23	4	4	NUM
cana-1060	431	24	.	.	PUNCT
cana-1060	432	1	concavity	concavity	NOUN
cana-1060	432	2	of	of	ADP
cana-1060	432	3	the	the	DET
cana-1060	432	4	total	total	ADJ
cana-1060	432	5	profit	profit	NOUN
cana-1060	432	6	function	function	NOUN
cana-1060	432	7	with	with	ADP
cana-1060	432	8	respect	respect	NOUN
cana-1060	432	9	to	to	ADP
cana-1060	432	10	t1	t1	NOUN
cana-1060	432	11	and	and	CCONJ
cana-1060	432	12	t	t	PROPN
cana-1060	432	13	t	t	PROPN
cana-1060	432	14	t	t	X
cana-1060	432	15	o	o	X
cana-1060	432	16	ta	ta	ADP
cana-1060	432	17	l	l	PROPN
cana-1060	432	18	p	p	X
cana-1060	432	19	ro	ro	PROPN
cana-1060	432	20	fi	fi	NOUN
cana-1060	432	21	t	t	PROPN
cana-1060	432	22	26.5	26.5	NUM
cana-1060	432	23	27	27	NUM
cana-1060	432	24	27.5	27.5	NUM
cana-1060	432	25	28	28	NUM
cana-1060	432	26	28.5	28.5	NUM
cana-1060	432	27	1	1	NUM
cana-1060	432	28	1.5	1.5	NUM
cana-1060	432	29	2	2	NUM
cana-1060	432	30	2.5	2.5	NUM
cana-1060	432	31	2350	2350	NUM
cana-1060	432	32	2400	2400	NUM
cana-1060	432	33	2450	2450	NUM
cana-1060	432	34	2500	2500	NUM
cana-1060	432	35	2550	2550	NUM
cana-1060	432	36	2600	2600	NUM
cana-1060	432	37	p	p	NOUN
cana-1060	432	38	figure	figure	NOUN
cana-1060	432	39	5	5	NUM
cana-1060	432	40	.	.	PUNCT
cana-1060	432	41	concavity	concavity	NOUN
cana-1060	432	42	of	of	ADP
cana-1060	432	43	the	the	DET
cana-1060	432	44	total	total	ADJ
cana-1060	432	45	profit	profit	NOUN
cana-1060	432	46	function	function	NOUN
cana-1060	432	47	with	with	ADP
cana-1060	432	48	respect	respect	NOUN
cana-1060	432	49	to	to	ADP
cana-1060	432	50	p	p	NOUN
cana-1060	432	51	and	and	CCONJ
cana-1060	432	52	t	t	PROPN
cana-1060	432	53	t	t	PROPN
cana-1060	432	54	t	t	X
cana-1060	432	55	o	o	X
cana-1060	432	56	ta	ta	ADP
cana-1060	432	57	l	l	PROPN
cana-1060	432	58	p	p	X
cana-1060	432	59	ro	ro	PROPN
cana-1060	432	60	fi	fi	PROPN
cana-1060	432	61	t	t	PROPN
cana-1060	432	62	communications	communication	NOUN
cana-1060	432	63	on	on	ADP
cana-1060	432	64	applied	apply	VERB
cana-1060	432	65	nonlinear	nonlinear	ADJ
cana-1060	432	66	analysis	analysis	NOUN
cana-1060	432	67	issn	issn	NOUN
cana-1060	432	68	:	:	PUNCT
cana-1060	432	69	1074	1074	NUM
cana-1060	432	70	-	-	PUNCT
cana-1060	432	71	133x	133x	NUM
cana-1060	432	72	vol	vol	NOUN
cana-1060	432	73	31	31	NUM
cana-1060	432	74	no	no	NOUN
cana-1060	432	75	.	.	PUNCT
cana-1060	433	1	5s	5s	NUM
cana-1060	433	2	(	(	PUNCT
cana-1060	433	3	2024	2024	NUM
cana-1060	433	4	)	)	PUNCT
cana-1060	434	1	427	427	NUM
cana-1060	434	2	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1060	434	3	case	case	NOUN
cana-1060	434	4	iii	iii	NUM
cana-1060	434	5	observations	observation	NOUN
cana-1060	434	6	of	of	ADP
cana-1060	434	7	the	the	DET
cana-1060	434	8	table	table	NOUN
cana-1060	434	9	and	and	CCONJ
cana-1060	434	10	graphs	graph	VERB
cana-1060	434	11	analysis	analysis	NOUN
cana-1060	434	12	of	of	ADP
cana-1060	434	13	the	the	DET
cana-1060	434	14	observations	observation	NOUN
cana-1060	434	15	of	of	ADP
cana-1060	434	16	the	the	DET
cana-1060	434	17	study	study	NOUN
cana-1060	434	18	based	base	VERB
cana-1060	434	19	on	on	ADP
cana-1060	434	20	the	the	DET
cana-1060	434	21	changes	change	NOUN
cana-1060	434	22	in	in	ADP
cana-1060	434	23	parameters	parameter	NOUN
cana-1060	434	24	and	and	CCONJ
cana-1060	434	25	their	their	PRON
cana-1060	434	26	effects	effect	NOUN
cana-1060	434	27	on	on	ADP
cana-1060	434	28	various	various	ADJ
cana-1060	434	29	decision	decision	NOUN
cana-1060	434	30	variables	variable	NOUN
cana-1060	434	31	and	and	CCONJ
cana-1060	434	32	performance	performance	NOUN
cana-1060	434	33	metrics	metric	NOUN
cana-1060	434	34	,	,	PUNCT
cana-1060	434	35	including	include	VERB
cana-1060	434	36	total	total	ADJ
cana-1060	434	37	profit	profit	NOUN
cana-1060	434	38	,	,	PUNCT
cana-1060	434	39	at	at	ADP
cana-1060	434	40	the	the	DET
cana-1060	434	41	provided	provide	VERB
cana-1060	434	42	parameter	parameter	NOUN
cana-1060	434	43	changes	change	NOUN
cana-1060	434	44	and	and	CCONJ
cana-1060	434	45	resulting	result	VERB
cana-1060	434	46	values	value	NOUN
cana-1060	434	47	are	be	AUX
cana-1060	434	48	presented	present	VERB
cana-1060	434	49	below	below	ADV
cana-1060	434	50	.	.	PUNCT
cana-1060	435	1	graphs	graph	NOUN
cana-1060	435	2	of	of	ADP
cana-1060	435	3	all	all	DET
cana-1060	435	4	three	three	NUM
cana-1060	435	5	cases	case	NOUN
cana-1060	435	6	visualize	visualize	VERB
cana-1060	435	7	the	the	DET
cana-1060	435	8	concavity	concavity	NOUN
cana-1060	435	9	of	of	ADP
cana-1060	435	10	the	the	DET
cana-1060	435	11	total	total	ADJ
cana-1060	435	12	profit	profit	NOUN
cana-1060	435	13	function	function	NOUN
cana-1060	435	14	with	with	ADP
cana-1060	435	15	various	various	ADJ
cana-1060	435	16	decision	decision	NOUN
cana-1060	435	17	parameters	parameter	NOUN
cana-1060	435	18	.	.	PUNCT
cana-1060	436	1	the	the	DET
cana-1060	436	2	changes	change	NOUN
cana-1060	436	3	in	in	ADP
cana-1060	436	4	each	each	DET
cana-1060	436	5	parameter	parameter	NOUN
cana-1060	436	6	,	,	PUNCT
cana-1060	436	7	the	the	DET
cana-1060	436	8	decision	decision	NOUN
cana-1060	436	9	variables	variable	NOUN
cana-1060	436	10	and	and	CCONJ
cana-1060	436	11	total	total	ADJ
cana-1060	436	12	profit	profit	NOUN
cana-1060	436	13	for	for	ADP
cana-1060	436	14	all	all	DET
cana-1060	436	15	three	three	NUM
cana-1060	436	16	cases	case	NOUN
cana-1060	436	17	are	be	AUX
cana-1060	436	18	described	describe	VERB
cana-1060	436	19	below	below	ADP
cana-1060	436	20	:	:	PUNCT
cana-1060	436	21	table	table	NOUN
cana-1060	436	22	2	2	NUM
cana-1060	436	23	highlights	highlight	NOUN
cana-1060	436	24	that	that	SCONJ
cana-1060	436	25	decreasing	decrease	VERB
cana-1060	436	26	purchase	purchase	NOUN
cana-1060	436	27	costs	cost	NOUN
cana-1060	436	28	,	,	PUNCT
cana-1060	436	29	interest	interest	NOUN
cana-1060	436	30	rates	rate	NOUN
cana-1060	436	31	,	,	PUNCT
cana-1060	436	32	backlogging	backlogge	VERB
cana-1060	436	33	,	,	PUNCT
cana-1060	436	34	increasing	increase	VERB
cana-1060	436	35	prepayments	prepayment	NOUN
cana-1060	436	36	,	,	PUNCT
cana-1060	436	37	and	and	CCONJ
cana-1060	436	38	advertising	advertising	NOUN
cana-1060	436	39	elasticity	elasticity	NOUN
cana-1060	436	40	enhance	enhance	VERB
cana-1060	436	41	inventory	inventory	NOUN
cana-1060	436	42	management	management	NOUN
cana-1060	436	43	profitability	profitability	NOUN
cana-1060	436	44	-	-	PUNCT
cana-1060	436	45	however	however	ADV
cana-1060	436	46	,	,	PUNCT
cana-1060	436	47	minimal	minimal	ADJ
cana-1060	436	48	impact	impact	NOUN
cana-1060	436	49	parameters	parameter	NOUN
cana-1060	436	50	include	include	VERB
cana-1060	436	51	holding	hold	VERB
cana-1060	436	52	costs	cost	NOUN
cana-1060	436	53	,	,	PUNCT
cana-1060	436	54	maximum	maximum	ADJ
cana-1060	436	55	discount	discount	NOUN
cana-1060	436	56	,	,	PUNCT
cana-1060	436	57	and	and	CCONJ
cana-1060	436	58	interest	interest	NOUN
cana-1060	436	59	earned	earn	VERB
cana-1060	436	60	.	.	PUNCT
cana-1060	437	1	strategic	strategic	ADJ
cana-1060	437	2	adjustments	adjustment	NOUN
cana-1060	437	3	in	in	ADP
cana-1060	437	4	these	these	DET
cana-1060	437	5	factors	factor	NOUN
cana-1060	437	6	can	can	AUX
cana-1060	437	7	significantly	significantly	ADV
cana-1060	437	8	affect	affect	VERB
cana-1060	437	9	profitability	profitability	NOUN
cana-1060	437	10	,	,	PUNCT
cana-1060	437	11	emphasizing	emphasize	VERB
cana-1060	437	12	the	the	DET
cana-1060	437	13	importance	importance	NOUN
cana-1060	437	14	of	of	ADP
cana-1060	437	15	informed	informed	ADJ
cana-1060	437	16	decision	decision	NOUN
cana-1060	437	17	-	-	PUNCT
cana-1060	437	18	making	making	NOUN
cana-1060	437	19	in	in	ADP
cana-1060	437	20	inventory	inventory	NOUN
cana-1060	437	21	management	management	NOUN
cana-1060	437	22	.	.	PUNCT
cana-1060	438	1	table	table	NOUN
cana-1060	438	2	3	3	NUM
cana-1060	438	3	highlights	highlight	NOUN
cana-1060	438	4	the	the	DET
cana-1060	438	5	significance	significance	NOUN
cana-1060	438	6	of	of	ADP
cana-1060	438	7	examining	examine	VERB
cana-1060	438	8	and	and	CCONJ
cana-1060	438	9	refining	refine	VERB
cana-1060	438	10	financial	financial	ADJ
cana-1060	438	11	terms	term	NOUN
cana-1060	438	12	,	,	PUNCT
cana-1060	438	13	holding	hold	VERB
cana-1060	438	14	costs	cost	NOUN
cana-1060	438	15	,	,	PUNCT
cana-1060	438	16	and	and	CCONJ
cana-1060	438	17	purchasing	purchase	VERB
cana-1060	438	18	costs	cost	NOUN
cana-1060	438	19	to	to	PART
cana-1060	438	20	reduce	reduce	VERB
cana-1060	438	21	total	total	ADJ
cana-1060	438	22	expenses	expense	NOUN
cana-1060	438	23	and	and	CCONJ
cana-1060	438	24	increase	increase	VERB
cana-1060	438	25	profitability	profitability	NOUN
cana-1060	438	26	in	in	ADP
cana-1060	438	27	inventory	inventory	NOUN
cana-1060	438	28	management	management	NOUN
cana-1060	438	29	.	.	PUNCT
cana-1060	439	1	lower	low	ADJ
cana-1060	439	2	financing	financing	NOUN
cana-1060	439	3	costs	cost	NOUN
cana-1060	439	4	,	,	PUNCT
cana-1060	439	5	improve	improve	VERB
cana-1060	439	6	operational	operational	ADJ
cana-1060	439	7	efficiency	efficiency	NOUN
cana-1060	439	8	and	and	CCONJ
cana-1060	439	9	boost	boost	VERB
cana-1060	439	10	cash	cash	NOUN
cana-1060	439	11	flow	flow	NOUN
cana-1060	439	12	by	by	ADP
cana-1060	439	13	carefully	carefully	ADV
cana-1060	439	14	modifying	modify	VERB
cana-1060	439	15	purchase	purchase	NOUN
cana-1060	439	16	prices	price	NOUN
cana-1060	439	17	,	,	PUNCT
cana-1060	439	18	interest	interest	NOUN
cana-1060	439	19	rates	rate	NOUN
cana-1060	439	20	,	,	PUNCT
cana-1060	439	21	and	and	CCONJ
cana-1060	439	22	payment	payment	NOUN
cana-1060	439	23	periods	period	NOUN
cana-1060	439	24	.	.	PUNCT
cana-1060	440	1	furthermore	furthermore	ADV
cana-1060	440	2	,	,	PUNCT
cana-1060	440	3	balancing	balance	VERB
cana-1060	440	4	inventory	inventory	NOUN
cana-1060	440	5	levels	level	NOUN
cana-1060	440	6	and	and	CCONJ
cana-1060	440	7	backlog	backlog	NOUN
cana-1060	440	8	criteria	criterion	NOUN
cana-1060	440	9	allows	allow	VERB
cana-1060	440	10	for	for	ADP
cana-1060	440	11	efficient	efficient	ADJ
cana-1060	440	12	demand	demand	NOUN
cana-1060	440	13	fulfillment	fulfillment	NOUN
cana-1060	440	14	while	while	SCONJ
cana-1060	440	15	reducing	reduce	VERB
cana-1060	440	16	expenses	expense	NOUN
cana-1060	440	17	,	,	PUNCT
cana-1060	440	18	ultimately	ultimately	ADV
cana-1060	440	19	boosting	boost	VERB
cana-1060	440	20	supply	supply	NOUN
cana-1060	440	21	chain	chain	NOUN
cana-1060	440	22	operation	operation	NOUN
cana-1060	440	23	's	's	PART
cana-1060	440	24	profitability	profitability	NOUN
cana-1060	440	25	and	and	CCONJ
cana-1060	440	26	competitiveness	competitiveness	NOUN
cana-1060	440	27	.	.	PUNCT
cana-1060	441	1	table	table	NOUN
cana-1060	441	2	4	4	NUM
cana-1060	441	3	outlines	outline	VERB
cana-1060	441	4	the	the	DET
cana-1060	441	5	strategic	strategic	ADJ
cana-1060	441	6	factors	factor	NOUN
cana-1060	441	7	that	that	SCONJ
cana-1060	441	8	decision	decision	NOUN
cana-1060	441	9	-	-	PUNCT
cana-1060	441	10	makers	maker	NOUN
cana-1060	441	11	should	should	AUX
cana-1060	441	12	take	take	VERB
cana-1060	441	13	into	into	ADP
cana-1060	441	14	account	account	NOUN
cana-1060	441	15	.	.	PUNCT
cana-1060	442	1	it	it	PRON
cana-1060	442	2	emphasizes	emphasize	VERB
cana-1060	442	3	the	the	DET
cana-1060	442	4	significance	significance	NOUN
cana-1060	442	5	of	of	ADP
cana-1060	442	6	financial	financial	ADJ
cana-1060	442	7	management	management	NOUN
cana-1060	442	8	and	and	CCONJ
cana-1060	442	9	cost	cost	NOUN
cana-1060	442	10	optimization	optimization	NOUN
cana-1060	442	11	,	,	PUNCT
cana-1060	442	12	as	as	ADV
cana-1060	442	13	well	well	ADV
cana-1060	442	14	as	as	ADP
cana-1060	442	15	the	the	DET
cana-1060	442	16	awareness	awareness	NOUN
cana-1060	442	17	of	of	ADP
cana-1060	442	18	how	how	SCONJ
cana-1060	442	19	different	different	ADJ
cana-1060	442	20	parameters	parameter	NOUN
cana-1060	442	21	interact	interact	VERB
cana-1060	442	22	to	to	PART
cana-1060	442	23	affect	affect	VERB
cana-1060	442	24	profitability	profitability	NOUN
cana-1060	442	25	.	.	PUNCT
cana-1060	443	1	it	it	PRON
cana-1060	443	2	offers	offer	VERB
cana-1060	443	3	ways	way	NOUN
cana-1060	443	4	to	to	PART
cana-1060	443	5	increase	increase	VERB
cana-1060	443	6	profitability	profitability	NOUN
cana-1060	443	7	through	through	ADP
cana-1060	443	8	financial	financial	ADJ
cana-1060	443	9	planning	planning	NOUN
cana-1060	443	10	,	,	PUNCT
cana-1060	443	11	inventory	inventory	NOUN
cana-1060	443	12	control	control	NOUN
cana-1060	443	13	techniques	technique	NOUN
cana-1060	443	14	,	,	PUNCT
cana-1060	443	15	and	and	CCONJ
cana-1060	443	16	successful	successful	ADJ
cana-1060	443	17	negotiating	negotiating	NOUN
cana-1060	443	18	tactics	tactic	NOUN
cana-1060	443	19	.	.	PUNCT
cana-1060	444	1	case	case	NOUN
cana-1060	444	2	iii	iii	NOUN
cana-1060	444	3	emphasizes	emphasize	VERB
cana-1060	444	4	the	the	DET
cana-1060	444	5	critical	critical	ADJ
cana-1060	444	6	role	role	NOUN
cana-1060	444	7	of	of	ADP
cana-1060	444	8	cost	cost	NOUN
cana-1060	444	9	optimization	optimization	NOUN
cana-1060	444	10	and	and	CCONJ
cana-1060	444	11	financial	financial	ADJ
cana-1060	444	12	management	management	NOUN
cana-1060	444	13	in	in	ADP
cana-1060	444	14	maximizing	maximize	VERB
cana-1060	444	15	profitability	profitability	NOUN
cana-1060	444	16	.	.	PUNCT
cana-1060	445	1	it	it	PRON
cana-1060	445	2	demonstrates	demonstrate	VERB
cana-1060	445	3	that	that	SCONJ
cana-1060	445	4	managing	manage	VERB
cana-1060	445	5	purchasing	purchasing	NOUN
cana-1060	445	6	costs	cost	NOUN
cana-1060	445	7	and	and	CCONJ
cana-1060	445	8	optimizing	optimize	VERB
cana-1060	445	9	financial	financial	ADJ
cana-1060	445	10	parameters	parameter	NOUN
cana-1060	445	11	significantly	significantly	ADV
cana-1060	445	12	impact	impact	VERB
cana-1060	445	13	profits	profit	NOUN
cana-1060	445	14	.	.	PUNCT
cana-1060	446	1	among	among	ADP
cana-1060	446	2	the	the	DET
cana-1060	446	3	cases	case	NOUN
cana-1060	446	4	,	,	PUNCT
cana-1060	446	5	case	case	NOUN
cana-1060	446	6	iii	iii	NOUN
cana-1060	446	7	is	be	AUX
cana-1060	446	8	likely	likely	ADJ
cana-1060	446	9	to	to	PART
cana-1060	446	10	yield	yield	VERB
cana-1060	446	11	the	the	DET
cana-1060	446	12	highest	high	ADJ
cana-1060	446	13	profit	profit	NOUN
cana-1060	446	14	by	by	ADP
cana-1060	446	15	refining	refine	VERB
cana-1060	446	16	inventory	inventory	NOUN
cana-1060	446	17	control	control	NOUN
cana-1060	446	18	techniques	technique	NOUN
cana-1060	446	19	and	and	CCONJ
cana-1060	446	20	economic	economic	ADJ
cana-1060	446	21	strategies	strategy	NOUN
cana-1060	446	22	.	.	PUNCT
cana-1060	447	1	this	this	DET
cana-1060	447	2	efficiency	efficiency	NOUN
cana-1060	447	3	in	in	ADP
cana-1060	447	4	inventory	inventory	NOUN
cana-1060	447	5	management	management	NOUN
cana-1060	447	6	leads	lead	VERB
cana-1060	447	7	to	to	ADP
cana-1060	447	8	improved	improve	VERB
cana-1060	447	9	financial	financial	ADJ
cana-1060	447	10	arrangements	arrangement	NOUN
cana-1060	447	11	and	and	CCONJ
cana-1060	447	12	market	market	NOUN
cana-1060	447	13	competitiveness	competitiveness	NOUN
cana-1060	447	14	for	for	ADP
cana-1060	447	15	the	the	DET
cana-1060	447	16	retailer	retailer	NOUN
cana-1060	447	17	.	.	PUNCT
cana-1060	448	1	2	2	NUM
cana-1060	448	2	2.2	2.2	NUM
cana-1060	448	3	2.4	2.4	NUM
cana-1060	448	4	2.6	2.6	NUM
cana-1060	448	5	2.8	2.8	NUM
cana-1060	448	6	2.2	2.2	NUM
cana-1060	448	7	2.4	2.4	NUM
cana-1060	448	8	2.6	2.6	NUM
cana-1060	448	9	2.8	2.8	NUM
cana-1060	448	10	3	3	NUM
cana-1060	448	11	2200	2200	NUM
cana-1060	448	12	2300	2300	NUM
cana-1060	448	13	2400	2400	NUM
cana-1060	448	14	2500	2500	NUM
cana-1060	448	15	2600	2600	NUM
cana-1060	448	16	2700	2700	NUM
cana-1060	448	17	t1	t1	NOUN
cana-1060	448	18	figure	figure	NOUN
cana-1060	448	19	6	6	NUM
cana-1060	448	20	.	.	PUNCT
cana-1060	449	1	concavity	concavity	NOUN
cana-1060	449	2	of	of	ADP
cana-1060	449	3	the	the	DET
cana-1060	449	4	total	total	ADJ
cana-1060	449	5	profit	profit	NOUN
cana-1060	449	6	function	function	NOUN
cana-1060	449	7	with	with	ADP
cana-1060	449	8	respect	respect	NOUN
cana-1060	449	9	to	to	ADP
cana-1060	449	10	t1	t1	NOUN
cana-1060	449	11	and	and	CCONJ
cana-1060	449	12	t	t	PROPN
cana-1060	449	13	t	t	PROPN
cana-1060	449	14	t	t	X
cana-1060	449	15	o	o	X
cana-1060	449	16	ta	ta	ADP
cana-1060	449	17	l	l	PROPN
cana-1060	449	18	p	p	X
cana-1060	449	19	ro	ro	PROPN
cana-1060	449	20	fi	fi	NOUN
cana-1060	449	21	t	t	PROPN
cana-1060	449	22	25	25	NUM
cana-1060	449	23	25.5	25.5	NUM
cana-1060	449	24	26	26	NUM
cana-1060	449	25	26.5	26.5	NUM
cana-1060	449	26	2.2	2.2	NUM
cana-1060	449	27	2.4	2.4	NUM
cana-1060	449	28	2.6	2.6	NUM
cana-1060	449	29	2.8	2.8	NUM
cana-1060	449	30	3	3	NUM
cana-1060	449	31	2510	2510	NUM
cana-1060	449	32	2515	2515	NUM
cana-1060	449	33	2520	2520	NUM
cana-1060	449	34	2525	2525	NUM
cana-1060	449	35	2530	2530	NUM
cana-1060	449	36	2535	2535	NUM
cana-1060	449	37	2540	2540	NUM
cana-1060	450	1	p	p	NOUN
cana-1060	450	2	figure	figure	NOUN
cana-1060	450	3	7	7	NUM
cana-1060	450	4	.	.	PUNCT
cana-1060	450	5	concavity	concavity	NOUN
cana-1060	450	6	of	of	ADP
cana-1060	450	7	the	the	DET
cana-1060	450	8	total	total	ADJ
cana-1060	450	9	profit	profit	NOUN
cana-1060	450	10	function	function	NOUN
cana-1060	450	11	with	with	ADP
cana-1060	450	12	respect	respect	NOUN
cana-1060	450	13	to	to	ADP
cana-1060	450	14	p	p	NOUN
cana-1060	450	15	and	and	CCONJ
cana-1060	450	16	t	t	PROPN
cana-1060	450	17	t	t	PROPN
cana-1060	450	18	t	t	X
cana-1060	450	19	o	o	X
cana-1060	450	20	ta	ta	ADP
cana-1060	450	21	l	l	PROPN
cana-1060	450	22	p	p	X
cana-1060	450	23	ro	ro	PROPN
cana-1060	450	24	fi	fi	PROPN
cana-1060	450	25	t	t	PROPN
cana-1060	450	26	communications	communication	NOUN
cana-1060	450	27	on	on	ADP
cana-1060	450	28	applied	apply	VERB
cana-1060	450	29	nonlinear	nonlinear	ADJ
cana-1060	450	30	analysis	analysis	NOUN
cana-1060	450	31	issn	issn	NOUN
cana-1060	450	32	:	:	PUNCT
cana-1060	450	33	1074	1074	NUM
cana-1060	450	34	-	-	PUNCT
cana-1060	450	35	133x	133x	NUM
cana-1060	450	36	vol	vol	NOUN
cana-1060	450	37	31	31	NUM
cana-1060	450	38	no	no	NOUN
cana-1060	450	39	.	.	PUNCT
cana-1060	451	1	5s	5s	NUM
cana-1060	451	2	(	(	PUNCT
cana-1060	451	3	2024	2024	NUM
cana-1060	451	4	)	)	PUNCT
cana-1060	451	5	428	428	NUM
cana-1060	451	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1060	451	7	6	6	NUM
cana-1060	451	8	conclusion	conclusion	NOUN
cana-1060	451	9	in	in	ADP
cana-1060	451	10	this	this	DET
cana-1060	451	11	research	research	NOUN
cana-1060	451	12	article	article	NOUN
cana-1060	451	13	,	,	PUNCT
cana-1060	451	14	the	the	DET
cana-1060	451	15	innovative	innovative	ADJ
cana-1060	451	16	attempt	attempt	NOUN
cana-1060	451	17	to	to	PART
cana-1060	451	18	provide	provide	VERB
cana-1060	451	19	a	a	DET
cana-1060	451	20	variety	variety	NOUN
cana-1060	451	21	of	of	ADP
cana-1060	451	22	payment	payment	NOUN
cana-1060	451	23	options	option	NOUN
cana-1060	451	24	while	while	SCONJ
cana-1060	451	25	operating	operate	VERB
cana-1060	451	26	an	an	DET
cana-1060	451	27	inventory	inventory	NOUN
cana-1060	451	28	which	which	PRON
cana-1060	451	29	is	be	AUX
cana-1060	451	30	subject	subject	ADJ
cana-1060	451	31	to	to	ADP
cana-1060	451	32	deterioration	deterioration	NOUN
cana-1060	451	33	and	and	CCONJ
cana-1060	451	34	sensitive	sensitive	ADJ
cana-1060	451	35	demand	demand	NOUN
cana-1060	451	36	has	have	AUX
cana-1060	451	37	shown	show	VERB
cana-1060	451	38	promising	promise	VERB
cana-1060	451	39	outcomes	outcome	NOUN
cana-1060	451	40	suitable	suitable	ADJ
cana-1060	451	41	for	for	ADP
cana-1060	451	42	real	real	ADJ
cana-1060	451	43	-	-	PUNCT
cana-1060	451	44	world	world	NOUN
cana-1060	451	45	situations	situation	NOUN
cana-1060	451	46	.	.	PUNCT
cana-1060	452	1	the	the	DET
cana-1060	452	2	effectiveness	effectiveness	NOUN
cana-1060	452	3	of	of	ADP
cana-1060	452	4	inventory	inventory	NOUN
cana-1060	452	5	turnover	turnover	NOUN
cana-1060	452	6	in	in	ADP
cana-1060	452	7	preserving	preserve	VERB
cana-1060	452	8	product	product	NOUN
cana-1060	452	9	quality	quality	NOUN
cana-1060	452	10	and	and	CCONJ
cana-1060	452	11	boosting	boost	VERB
cana-1060	452	12	sales	sale	NOUN
cana-1060	452	13	through	through	ADP
cana-1060	452	14	dynamic	dynamic	ADJ
cana-1060	452	15	controls	control	NOUN
cana-1060	452	16	and	and	CCONJ
cana-1060	452	17	preservation	preservation	NOUN
cana-1060	452	18	techniques	technique	NOUN
cana-1060	452	19	before	before	ADP
cana-1060	452	20	deterioration	deterioration	NOUN
cana-1060	452	21	is	be	AUX
cana-1060	452	22	demonstrated	demonstrate	VERB
cana-1060	452	23	numerically	numerically	ADV
cana-1060	452	24	.	.	PUNCT
cana-1060	453	1	this	this	DET
cana-1060	453	2	research	research	NOUN
cana-1060	453	3	has	have	AUX
cana-1060	453	4	examined	examine	VERB
cana-1060	453	5	the	the	DET
cana-1060	453	6	effects	effect	NOUN
cana-1060	453	7	of	of	ADP
cana-1060	453	8	advanced	advanced	ADJ
cana-1060	453	9	payments	payment	NOUN
cana-1060	453	10	and	and	CCONJ
cana-1060	453	11	trade	trade	NOUN
cana-1060	453	12	credit	credit	NOUN
cana-1060	453	13	laws	law	NOUN
cana-1060	453	14	on	on	ADP
cana-1060	453	15	a	a	DET
cana-1060	453	16	deteriorating	deteriorate	VERB
cana-1060	453	17	product	product	NOUN
cana-1060	453	18	inventory	inventory	NOUN
cana-1060	453	19	model	model	NOUN
cana-1060	453	20	,	,	PUNCT
cana-1060	453	21	accounting	account	VERB
cana-1060	453	22	for	for	ADP
cana-1060	453	23	factors	factor	NOUN
cana-1060	453	24	that	that	PRON
cana-1060	453	25	influence	influence	NOUN
cana-1060	453	26	demand	demand	NOUN
cana-1060	453	27	,	,	PUNCT
cana-1060	453	28	such	such	ADJ
cana-1060	453	29	as	as	ADP
cana-1060	453	30	product	product	NOUN
cana-1060	453	31	freshness	freshness	NOUN
cana-1060	453	32	,	,	PUNCT
cana-1060	453	33	price	price	NOUN
cana-1060	453	34	,	,	PUNCT
cana-1060	453	35	and	and	CCONJ
cana-1060	453	36	advertisement	advertisement	NOUN
cana-1060	453	37	frequency	frequency	NOUN
cana-1060	453	38	.	.	PUNCT
cana-1060	454	1	the	the	DET
cana-1060	454	2	solution	solution	NOUN
cana-1060	454	3	for	for	ADP
cana-1060	454	4	the	the	DET
cana-1060	454	5	model	model	NOUN
cana-1060	454	6	clearly	clearly	ADV
cana-1060	454	7	indicates	indicate	VERB
cana-1060	454	8	the	the	DET
cana-1060	454	9	optimal	optimal	ADJ
cana-1060	454	10	selling	selling	NOUN
cana-1060	454	11	price	price	NOUN
cana-1060	454	12	,	,	PUNCT
cana-1060	454	13	cycle	cycle	NOUN
cana-1060	454	14	length	length	NOUN
cana-1060	454	15	,	,	PUNCT
cana-1060	454	16	and	and	CCONJ
cana-1060	454	17	shortage	shortage	NOUN
cana-1060	454	18	incidence	incidence	NOUN
cana-1060	454	19	period	period	NOUN
cana-1060	454	20	in	in	ADP
cana-1060	454	21	order	order	NOUN
cana-1060	454	22	to	to	PART
cana-1060	454	23	maximize	maximize	VERB
cana-1060	454	24	overall	overall	ADJ
cana-1060	454	25	profit	profit	NOUN
cana-1060	454	26	.	.	PUNCT
cana-1060	455	1	the	the	DET
cana-1060	455	2	research	research	NOUN
cana-1060	455	3	also	also	ADV
cana-1060	455	4	addresses	address	VERB
cana-1060	455	5	the	the	DET
cana-1060	455	6	gaps	gap	NOUN
cana-1060	455	7	appropriately	appropriately	ADV
cana-1060	455	8	,	,	PUNCT
cana-1060	455	9	as	as	SCONJ
cana-1060	455	10	mentioned	mention	VERB
cana-1060	455	11	above	above	ADV
cana-1060	455	12	.	.	PUNCT
cana-1060	456	1	it	it	PRON
cana-1060	456	2	is	be	AUX
cana-1060	456	3	evident	evident	ADJ
cana-1060	456	4	that	that	SCONJ
cana-1060	456	5	:	:	PUNCT
cana-1060	456	6	longer	long	ADJ
cana-1060	456	7	loan	loan	NOUN
cana-1060	456	8	terms	term	NOUN
cana-1060	456	9	boost	boost	VERB
cana-1060	456	10	profitability	profitability	NOUN
cana-1060	456	11	,	,	PUNCT
cana-1060	456	12	as	as	SCONJ
cana-1060	456	13	the	the	DET
cana-1060	456	14	optimization	optimization	NOUN
cana-1060	456	15	process	process	NOUN
cana-1060	456	16	results	result	VERB
cana-1060	456	17	in	in	ADP
cana-1060	456	18	higher	high	ADJ
cana-1060	456	19	profits	profit	NOUN
cana-1060	456	20	.	.	PUNCT
cana-1060	457	1	the	the	DET
cana-1060	457	2	greatest	great	ADJ
cana-1060	457	3	revenue	revenue	NOUN
cana-1060	457	4	occurs	occur	VERB
cana-1060	457	5	when	when	SCONJ
cana-1060	457	6	(	(	PUNCT
cana-1060	457	7	t1	t1	NOUN
cana-1060	457	8			NUM
cana-1060	457	9	m	m	VERB
cana-1060	457	10			NOUN
cana-1060	457	11	t	t	NOUN
cana-1060	457	12	)	)	PUNCT
cana-1060	457	13	.	.	PUNCT
cana-1060	458	1	the	the	DET
cana-1060	458	2	significance	significance	NOUN
cana-1060	458	3	of	of	ADP
cana-1060	458	4	adopting	adopt	VERB
cana-1060	458	5	a	a	DET
cana-1060	458	6	flexible	flexible	ADJ
cana-1060	458	7	approach	approach	NOUN
cana-1060	458	8	to	to	ADP
cana-1060	458	9	trade	trade	NOUN
cana-1060	458	10	credit	credit	NOUN
cana-1060	458	11	and	and	CCONJ
cana-1060	458	12	degradation	degradation	NOUN
cana-1060	458	13	mitigation	mitigation	NOUN
cana-1060	458	14	to	to	PART
cana-1060	458	15	maximize	maximize	VERB
cana-1060	458	16	profit	profit	NOUN
cana-1060	458	17	and	and	CCONJ
cana-1060	458	18	expand	expand	VERB
cana-1060	458	19	the	the	DET
cana-1060	458	20	business	business	NOUN
cana-1060	458	21	through	through	ADP
cana-1060	458	22	enhanced	enhanced	ADJ
cana-1060	458	23	goodwill	goodwill	NOUN
cana-1060	458	24	was	be	AUX
cana-1060	458	25	underscored	underscore	VERB
cana-1060	458	26	in	in	ADP
cana-1060	458	27	this	this	DET
cana-1060	458	28	paper	paper	NOUN
cana-1060	458	29	.	.	PUNCT
cana-1060	459	1	the	the	DET
cana-1060	459	2	research	research	NOUN
cana-1060	459	3	outcomes	outcome	NOUN
cana-1060	459	4	can	can	AUX
cana-1060	459	5	be	be	AUX
cana-1060	459	6	briefed	brief	VERB
cana-1060	459	7	as	as	SCONJ
cana-1060	459	8	follows	follow	VERB
cana-1060	459	9	:	:	PUNCT
cana-1060	459	10	enhanced	enhance	VERB
cana-1060	459	11	operational	operational	ADJ
cana-1060	459	12	reliability	reliability	NOUN
cana-1060	459	13	on	on	ADP
cana-1060	459	14	trade	trade	NOUN
cana-1060	459	15	credit	credit	NOUN
cana-1060	459	16	and	and	CCONJ
cana-1060	459	17	payback	payback	NOUN
cana-1060	459	18	strategies	strategy	NOUN
cana-1060	459	19	provide	provide	VERB
cana-1060	459	20	timely	timely	ADJ
cana-1060	459	21	stock	stock	NOUN
cana-1060	459	22	delivery	delivery	NOUN
cana-1060	459	23	,	,	PUNCT
cana-1060	459	24	improved	improve	VERB
cana-1060	459	25	cash	cash	NOUN
cana-1060	459	26	flow	flow	NOUN
cana-1060	459	27	,	,	PUNCT
cana-1060	459	28	and	and	CCONJ
cana-1060	459	29	stable	stable	ADJ
cana-1060	459	30	finances	finance	NOUN
cana-1060	459	31	.	.	PUNCT
cana-1060	460	1	sensitivity	sensitivity	NOUN
cana-1060	460	2	analysis	analysis	NOUN
cana-1060	460	3	,	,	PUNCT
cana-1060	460	4	when	when	SCONJ
cana-1060	460	5	combined	combine	VERB
cana-1060	460	6	with	with	ADP
cana-1060	460	7	dynamic	dynamic	ADJ
cana-1060	460	8	systems	system	NOUN
cana-1060	460	9	and	and	CCONJ
cana-1060	460	10	precise	precise	ADJ
cana-1060	460	11	demand	demand	NOUN
cana-1060	460	12	forecasts	forecast	NOUN
cana-1060	460	13	,	,	PUNCT
cana-1060	460	14	balances	balance	VERB
cana-1060	460	15	inventory	inventory	NOUN
cana-1060	460	16	levels	level	NOUN
cana-1060	460	17	,	,	PUNCT
cana-1060	460	18	reduces	reduce	VERB
cana-1060	460	19	the	the	DET
cana-1060	460	20	possibility	possibility	NOUN
cana-1060	460	21	of	of	ADP
cana-1060	460	22	backlogs	backlog	NOUN
cana-1060	460	23	,	,	PUNCT
cana-1060	460	24	and	and	CCONJ
cana-1060	460	25	guarantees	guarantee	VERB
cana-1060	460	26	efficient	efficient	ADJ
cana-1060	460	27	operations	operation	NOUN
cana-1060	460	28	.	.	PUNCT
cana-1060	461	1	by	by	ADP
cana-1060	461	2	optimizing	optimize	VERB
cana-1060	461	3	shelf	shelf	NOUN
cana-1060	461	4	life	life	NOUN
cana-1060	461	5	management	management	NOUN
cana-1060	461	6	and	and	CCONJ
cana-1060	461	7	accounting	accounting	NOUN
cana-1060	461	8	for	for	ADP
cana-1060	461	9	time	time	NOUN
cana-1060	461	10	-	-	PUNCT
cana-1060	461	11	varying	vary	VERB
cana-1060	461	12	degradation	degradation	NOUN
cana-1060	461	13	,	,	PUNCT
cana-1060	461	14	choices	choice	NOUN
cana-1060	461	15	about	about	ADP
cana-1060	461	16	perishable	perishable	ADJ
cana-1060	461	17	inventory	inventory	NOUN
cana-1060	461	18	may	may	AUX
cana-1060	461	19	be	be	AUX
cana-1060	461	20	made	make	VERB
cana-1060	461	21	more	more	ADV
cana-1060	461	22	profitably	profitably	ADV
cana-1060	461	23	and	and	CCONJ
cana-1060	461	24	competitively	competitively	ADV
cana-1060	461	25	in	in	ADP
cana-1060	461	26	the	the	DET
cana-1060	461	27	market	market	NOUN
cana-1060	461	28	.	.	PUNCT
cana-1060	462	1	achieving	achieve	VERB
cana-1060	462	2	maximum	maximum	ADJ
cana-1060	462	3	profitability	profitability	NOUN
cana-1060	462	4	in	in	ADP
cana-1060	462	5	agile	agile	ADJ
cana-1060	462	6	demand	demand	NOUN
cana-1060	462	7	management	management	NOUN
cana-1060	462	8	for	for	ADP
cana-1060	462	9	price	price	NOUN
cana-1060	462	10	-	-	PUNCT
cana-1060	462	11	sensitive	sensitive	ADJ
cana-1060	462	12	products	product	NOUN
cana-1060	462	13	may	may	AUX
cana-1060	462	14	minimize	minimize	VERB
cana-1060	462	15	waste	waste	VERB
cana-1060	462	16	through	through	ADP
cana-1060	462	17	focused	focus	VERB
cana-1060	462	18	advertising	advertising	NOUN
cana-1060	462	19	and	and	CCONJ
cana-1060	462	20	safety	safety	NOUN
cana-1060	462	21	stock	stock	NOUN
cana-1060	462	22	adjustments	adjustment	NOUN
cana-1060	462	23	,	,	PUNCT
cana-1060	462	24	boost	boost	VERB
cana-1060	462	25	customer	customer	NOUN
cana-1060	462	26	satisfaction	satisfaction	NOUN
cana-1060	462	27	,	,	PUNCT
cana-1060	462	28	and	and	CCONJ
cana-1060	462	29	decrease	decrease	VERB
cana-1060	462	30	waste	waste	NOUN
cana-1060	462	31	and	and	CCONJ
cana-1060	462	32	stockouts	stockout	NOUN
cana-1060	462	33	.	.	PUNCT
cana-1060	463	1	effective	effective	ADJ
cana-1060	463	2	business	business	NOUN
cana-1060	463	3	strategies	strategy	NOUN
cana-1060	463	4	to	to	PART
cana-1060	463	5	meet	meet	VERB
cana-1060	463	6	the	the	DET
cana-1060	463	7	practical	practical	ADJ
cana-1060	463	8	challenges	challenge	NOUN
cana-1060	463	9	are	be	AUX
cana-1060	463	10	to	to	PART
cana-1060	463	11	sense	sense	VERB
cana-1060	463	12	the	the	DET
cana-1060	463	13	futuristic	futuristic	ADJ
cana-1060	463	14	changes	change	NOUN
cana-1060	463	15	in	in	ADP
cana-1060	463	16	demand	demand	NOUN
cana-1060	463	17	and	and	CCONJ
cana-1060	463	18	appropriately	appropriately	ADV
cana-1060	463	19	implement	implement	VERB
cana-1060	463	20	product	product	NOUN
cana-1060	463	21	pricing	pricing	NOUN
cana-1060	463	22	and	and	CCONJ
cana-1060	463	23	payment	payment	NOUN
cana-1060	463	24	options	option	NOUN
cana-1060	463	25	to	to	PART
cana-1060	463	26	ensure	ensure	VERB
cana-1060	463	27	sustained	sustained	ADJ
cana-1060	463	28	profitability	profitability	NOUN
cana-1060	463	29	.	.	PUNCT
cana-1060	464	1	the	the	DET
cana-1060	464	2	scope	scope	NOUN
cana-1060	464	3	of	of	ADP
cana-1060	464	4	the	the	DET
cana-1060	464	5	research	research	NOUN
cana-1060	464	6	encompasses	encompass	VERB
cana-1060	464	7	the	the	DET
cana-1060	464	8	analysis	analysis	NOUN
cana-1060	464	9	of	of	ADP
cana-1060	464	10	various	various	ADJ
cana-1060	464	11	real	real	ADJ
cana-1060	464	12	-	-	PUNCT
cana-1060	464	13	world	world	NOUN
cana-1060	464	14	supply	supply	NOUN
cana-1060	464	15	chain	chain	NOUN
cana-1060	464	16	scenarios	scenario	NOUN
cana-1060	464	17	,	,	PUNCT
cana-1060	464	18	specifically	specifically	ADV
cana-1060	464	19	in	in	ADP
cana-1060	464	20	the	the	DET
cana-1060	464	21	post	post	ADJ
cana-1060	464	22	-	-	ADJ
cana-1060	464	23	pandemic	pandemic	ADJ
cana-1060	464	24	period	period	NOUN
cana-1060	464	25	,	,	PUNCT
cana-1060	464	26	such	such	ADJ
cana-1060	464	27	as	as	ADP
cana-1060	464	28	refurbishing	refurbishing	NOUN
cana-1060	464	29	items	item	NOUN
cana-1060	464	30	and	and	CCONJ
cana-1060	464	31	handling	handle	VERB
cana-1060	464	32	products	product	NOUN
cana-1060	464	33	that	that	PRON
cana-1060	464	34	are	be	AUX
cana-1060	464	35	near	near	ADP
cana-1060	464	36	the	the	DET
cana-1060	464	37	expiration	expiration	NOUN
cana-1060	464	38	date	date	NOUN
cana-1060	464	39	.	.	PUNCT
cana-1060	465	1	future	future	ADJ
cana-1060	465	2	research	research	NOUN
cana-1060	465	3	will	will	AUX
cana-1060	465	4	explore	explore	VERB
cana-1060	465	5	various	various	ADJ
cana-1060	465	6	supply	supply	NOUN
cana-1060	465	7	chain	chain	NOUN
cana-1060	465	8	scenarios	scenario	NOUN
cana-1060	465	9	,	,	PUNCT
cana-1060	465	10	including	include	VERB
cana-1060	465	11	periodic	periodic	ADJ
cana-1060	465	12	price	price	NOUN
cana-1060	465	13	discount	discount	NOUN
cana-1060	465	14	splits	split	NOUN
cana-1060	465	15	,	,	PUNCT
cana-1060	465	16	product	product	NOUN
cana-1060	465	17	discounts	discount	NOUN
cana-1060	465	18	,	,	PUNCT
cana-1060	465	19	and	and	CCONJ
cana-1060	465	20	stochastic	stochastic	ADJ
cana-1060	465	21	demand	demand	NOUN
cana-1060	465	22	.	.	PUNCT
cana-1060	466	1	references	reference	NOUN
cana-1060	466	2	[	[	X
cana-1060	466	3	1	1	NUM
cana-1060	466	4	]	]	PUNCT
cana-1060	466	5	t.	t.	PROPN
cana-1060	466	6	m.	m.	NOUN
cana-1060	466	7	whitin	whitin	PROPN
cana-1060	466	8	,	,	PUNCT
cana-1060	466	9	inventory	inventory	NOUN
cana-1060	466	10	control	control	NOUN
cana-1060	466	11	and	and	CCONJ
cana-1060	466	12	price	price	NOUN
cana-1060	466	13	theory	theory	NOUN
cana-1060	466	14	,	,	PUNCT
cana-1060	466	15	management	management	NOUN
cana-1060	466	16	science	science	NOUN
cana-1060	466	17	,	,	PUNCT
cana-1060	466	18	1955;2	1955;2	NUM
cana-1060	466	19	:	:	PUNCT
cana-1060	466	20	61	61	NUM
cana-1060	466	21	-	-	SYM
cana-1060	466	22	68	68	NUM
cana-1060	466	23	.	.	PUNCT
cana-1060	467	1	[	[	X
cana-1060	467	2	2	2	X
cana-1060	467	3	]	]	X
cana-1060	467	4	k.s	k.s	PROPN
cana-1060	467	5	.	.	PROPN
cana-1060	467	6	wu	wu	PROPN
cana-1060	467	7	,	,	PUNCT
cana-1060	467	8	l.y	l.y	PROPN
cana-1060	467	9	.	.	PROPN
cana-1060	467	10	ouyang	ouyang	PROPN
cana-1060	467	11	and	and	CCONJ
cana-1060	467	12	c.t	c.t	PROPN
cana-1060	467	13	.	.	PROPN
cana-1060	467	14	yang	yang	PROPN
cana-1060	467	15	,	,	PUNCT
cana-1060	467	16	an	an	DET
cana-1060	467	17	optimal	optimal	ADJ
cana-1060	467	18	replenishment	replenishment	NOUN
cana-1060	467	19	policy	policy	NOUN
cana-1060	467	20	for	for	ADP
cana-1060	467	21	noninstantaneous	noninstantaneous	ADJ
cana-1060	467	22	deteriorating	deteriorate	VERB
cana-1060	467	23	items	item	NOUN
cana-1060	467	24	with	with	ADP
cana-1060	467	25	stock	stock	NOUN
cana-1060	467	26	-	-	PUNCT
cana-1060	467	27	dependent	dependent	ADJ
cana-1060	467	28	demand	demand	NOUN
cana-1060	467	29	and	and	CCONJ
cana-1060	467	30	partial	partial	ADJ
cana-1060	467	31	backlogging	backlogging	NOUN
cana-1060	467	32	,	,	PUNCT
cana-1060	467	33	international	international	ADJ
cana-1060	467	34	journal	journal	NOUN
cana-1060	467	35	of	of	ADP
cana-1060	467	36	production	production	NOUN
cana-1060	467	37	economics	economic	NOUN
cana-1060	467	38	.	.	PUNCT
cana-1060	467	39	2006;101(2):369	2006;101(2):369	NUM
cana-1060	467	40	-	-	SYM
cana-1060	467	41	384	384	NUM
cana-1060	467	42	.	.	PUNCT
cana-1060	468	1	https://doi.org/10.1016/j.ijpe.2005.01.010	https://doi.org/10.1016/j.ijpe.2005.01.010	ADJ
cana-1060	468	2	[	[	X
cana-1060	468	3	3	3	NUM
cana-1060	468	4	]	]	X
cana-1060	468	5	p.h	p.h	PROPN
cana-1060	468	6	.	.	PROPN
cana-1060	468	7	hsu	hsu	PROPN
cana-1060	468	8	,	,	PUNCT
cana-1060	468	9	h.m	h.m	PROPN
cana-1060	468	10	.	.	PROPN
cana-1060	468	11	wee	wee	PROPN
cana-1060	468	12	,	,	PUNCT
cana-1060	468	13	and	and	CCONJ
cana-1060	468	14	h.m	h.m	PROPN
cana-1060	468	15	.	.	PROPN
cana-1060	468	16	teng	teng	PROPN
cana-1060	468	17	,	,	PUNCT
cana-1060	468	18	optimal	optimal	ADJ
cana-1060	468	19	lot	lot	NOUN
cana-1060	468	20	sizing	sizing	NOUN
cana-1060	468	21	for	for	ADP
cana-1060	468	22	deteriorating	deteriorate	VERB
cana-1060	468	23	items	item	NOUN
cana-1060	468	24	with	with	ADP
cana-1060	468	25	expiration	expiration	NOUN
cana-1060	468	26	date	date	NOUN
cana-1060	468	27	,	,	PUNCT
cana-1060	468	28	journal	journal	NOUN
cana-1060	468	29	of	of	ADP
cana-1060	468	30	information	information	NOUN
cana-1060	468	31	and	and	CCONJ
cana-1060	468	32	optimization	optimization	NOUN
cana-1060	468	33	science	science	NOUN
cana-1060	468	34	.	.	PUNCT
cana-1060	469	1	2006;27(2	2006;27(2	NUM
cana-1060	469	2	):	):	PUNCT
cana-1060	469	3	271	271	NUM
cana-1060	469	4	-	-	SYM
cana-1060	469	5	286	286	NUM
cana-1060	469	6	.	.	PUNCT
cana-1060	469	7	https://doi.org/10.1080/02522667.2006.10699692	https://doi.org/10.1080/02522667.2006.10699692	X
cana-1060	470	1	[	[	X
cana-1060	470	2	4	4	NUM
cana-1060	470	3	]	]	X
cana-1060	470	4	m.a.a	m.a.a	NOUN
cana-1060	470	5	.	.	PUNCT
cana-1060	471	1	khan	khan	PROPN
cana-1060	471	2	,	,	PUNCT
cana-1060	471	3	a.a	a.a	PROPN
cana-1060	471	4	.	.	PROPN
cana-1060	471	5	shaikh	shaikh	PROPN
cana-1060	471	6	,	,	PUNCT
cana-1060	471	7	g.c	g.c	PROPN
cana-1060	471	8	.	.	PROPN
cana-1060	471	9	panda	panda	NOUN
cana-1060	471	10	,	,	PUNCT
cana-1060	471	11	i.	i.	PROPN
cana-1060	471	12	konstantaras	konstantaras	PROPN
cana-1060	471	13	and	and	CCONJ
cana-1060	471	14	l.e	l.e	PROPN
cana-1060	471	15	.	.	PROPN
cana-1060	472	1	cardenas	cardenas	PROPN
cana-1060	472	2	-	-	PUNCT
cana-1060	472	3	barron	barron	PROPN
cana-1060	472	4	,	,	PUNCT
cana-1060	472	5	the	the	DET
cana-1060	472	6	effect	effect	NOUN
cana-1060	472	7	of	of	ADP
cana-1060	472	8	advance	advance	NOUN
cana-1060	472	9	payment	payment	NOUN
cana-1060	472	10	with	with	ADP
cana-1060	472	11	discount	discount	NOUN
cana-1060	472	12	facility	facility	NOUN
cana-1060	472	13	on	on	ADP
cana-1060	472	14	supply	supply	NOUN
cana-1060	472	15	decisions	decision	NOUN
cana-1060	472	16	of	of	ADP
cana-1060	472	17	deteriorating	deteriorate	VERB
cana-1060	472	18	products	product	NOUN
cana-1060	472	19	whose	whose	DET
cana-1060	472	20	demand	demand	NOUN
cana-1060	472	21	is	be	AUX
cana-1060	472	22	both	both	DET
cana-1060	472	23	price	price	NOUN
cana-1060	472	24	and	and	CCONJ
cana-1060	472	25	stock	stock	NOUN
cana-1060	472	26	dependent	dependent	ADJ
cana-1060	472	27	,	,	PUNCT
cana-1060	472	28	international	international	ADJ
cana-1060	472	29	transactions	transaction	NOUN
cana-1060	472	30	in	in	ADP
cana-1060	472	31	operational	operational	ADJ
cana-1060	472	32	research	research	NOUN
cana-1060	472	33	,	,	PUNCT
cana-1060	472	34	.	.	PUNCT
cana-1060	473	1	http://refhub.elsevier.com/s1110-0168(23)00339-3/h0090	http://refhub.elsevier.com/s1110-0168(23)00339-3/h0090	NOUN
cana-1060	473	2	http://refhub.elsevier.com/s1110-0168(23)00339-3/h0090	http://refhub.elsevier.com/s1110-0168(23)00339-3/h0090	NOUN
cana-1060	473	3	http://refhub.elsevier.com/s1110-0168(23)00339-3/h0090	http://refhub.elsevier.com/s1110-0168(23)00339-3/h0090	NOUN
cana-1060	473	4	http://refhub.elsevier.com/s1110-0168(23)00339-3/h0090	http://refhub.elsevier.com/s1110-0168(23)00339-3/h0090	NOUN
cana-1060	473	5	http://dx.doi.org/10.1111/itor.12733	http://dx.doi.org/10.1111/itor.12733	NOUN
cana-1060	473	6	http://dx.doi.org/10.1111/itor.12733	http://dx.doi.org/10.1111/itor.12733	X
cana-1060	473	7	http://dx.doi.org/10.1111/itor.12733	http://dx.doi.org/10.1111/itor.12733	X
cana-1060	473	8	http://dx.doi.org/10.1111/itor.12733	http://dx.doi.org/10.1111/itor.12733	X
cana-1060	473	9	http://dx.doi.org/10.1111/itor.12733	http://dx.doi.org/10.1111/itor.12733	VERB
cana-1060	473	10	communications	communication	NOUN
cana-1060	473	11	on	on	ADP
cana-1060	473	12	applied	apply	VERB
cana-1060	473	13	nonlinear	nonlinear	ADJ
cana-1060	473	14	analysis	analysis	NOUN
cana-1060	473	15	issn	issn	NOUN
cana-1060	473	16	:	:	PUNCT
cana-1060	473	17	1074	1074	NUM
cana-1060	473	18	-	-	PUNCT
cana-1060	473	19	133x	133x	NUM
cana-1060	473	20	vol	vol	NOUN
cana-1060	473	21	31	31	NUM
cana-1060	473	22	no	no	NOUN
cana-1060	473	23	.	.	PUNCT
cana-1060	474	1	5s	5s	NUM
cana-1060	474	2	(	(	PUNCT
cana-1060	474	3	2024	2024	NUM
cana-1060	474	4	)	)	PUNCT
cana-1060	474	5	429	429	NUM
cana-1060	474	6	https://internationalpubls.com	https://internationalpubls.com	SYM
cana-1060	474	7	2020;27:1343	2020;27:1343	NUM
cana-1060	474	8	-	-	SYM
cana-1060	474	9	1367	1367	NUM
cana-1060	474	10	.	.	PUNCT
cana-1060	475	1	[	[	X
cana-1060	475	2	5	5	NUM
cana-1060	475	3	]	]	PUNCT
cana-1060	475	4	b.	b.	PROPN
cana-1060	475	5	liu	liu	PROPN
cana-1060	475	6	,	,	PUNCT
cana-1060	475	7	y.	y.	PROPN
cana-1060	475	8	wang	wang	PROPN
cana-1060	475	9	and	and	CCONJ
cana-1060	475	10	y.	y.	PROPN
cana-1060	475	11	shou	shou	PROPN
cana-1060	475	12	,	,	PUNCT
cana-1060	475	13	trade	trade	NOUN
cana-1060	475	14	credit	credit	NOUN
cana-1060	475	15	in	in	ADP
cana-1060	475	16	emerging	emerge	VERB
cana-1060	475	17	economies	economy	NOUN
cana-1060	475	18	:	:	PUNCT
cana-1060	475	19	an	an	DET
cana-1060	475	20	interorganizational	interorganizational	ADJ
cana-1060	475	21	power	power	NOUN
cana-1060	475	22	perspective	perspective	NOUN
cana-1060	475	23	,	,	PUNCT
cana-1060	475	24	industrial	industrial	ADJ
cana-1060	475	25	management	management	NOUN
cana-1060	475	26	&	&	CCONJ
cana-1060	475	27	data	datum	NOUN
cana-1060	475	28	systems	system	NOUN
cana-1060	475	29	.	.	PUNCT
cana-1060	476	1	2020;120:768	2020;120:768	NUM
cana-1060	476	2	-	-	SYM
cana-1060	476	3	783	783	NUM
cana-1060	476	4	.	.	PUNCT
cana-1060	477	1	[	[	X
cana-1060	477	2	6	6	NUM
cana-1060	477	3	]	]	PUNCT
cana-1060	477	4	s.	s.	PROPN
cana-1060	477	5	priyan	priyan	PROPN
cana-1060	477	6	,	,	PUNCT
cana-1060	477	7	and	and	CCONJ
cana-1060	477	8	p.	p.	NOUN
cana-1060	477	9	mala	mala	PROPN
cana-1060	477	10	,	,	PUNCT
cana-1060	477	11	optimal	optimal	ADJ
cana-1060	477	12	inventory	inventory	NOUN
cana-1060	477	13	system	system	NOUN
cana-1060	477	14	for	for	ADP
cana-1060	477	15	pharmaceutical	pharmaceutical	ADJ
cana-1060	477	16	products	product	NOUN
cana-1060	477	17	incorporating	incorporate	VERB
cana-1060	477	18	quality	quality	NOUN
cana-1060	477	19	degradation	degradation	NOUN
cana-1060	477	20	with	with	ADP
cana-1060	477	21	expiration	expiration	NOUN
cana-1060	477	22	date	date	NOUN
cana-1060	477	23	:	:	PUNCT
cana-1060	477	24	a	a	DET
cana-1060	477	25	game	game	NOUN
cana-1060	477	26	theory	theory	NOUN
cana-1060	477	27	approach	approach	NOUN
cana-1060	477	28	,	,	PUNCT
cana-1060	477	29	operations	operation	NOUN
cana-1060	477	30	research	research	NOUN
cana-1060	477	31	for	for	ADP
cana-1060	477	32	health	health	NOUN
cana-1060	477	33	care	care	NOUN
cana-1060	477	34	.	.	PUNCT
cana-1060	478	1	2020;24:100245	2020;24:100245	X
cana-1060	478	2	.	.	PUNCT
cana-1060	479	1	https://doi.org/10.1016/j.orhc.2020.100245	https://doi.org/10.1016/j.orhc.2020.100245	PROPN
cana-1060	479	2	[	[	X
cana-1060	479	3	7	7	X
cana-1060	479	4	]	]	X
cana-1060	479	5	h.m	h.m	PROPN
cana-1060	479	6	.	.	PROPN
cana-1060	479	7	alshanbari	alshanbari	PROPN
cana-1060	479	8	,	,	PUNCT
cana-1060	479	9	a.a.a	a.a.a	PROPN
cana-1060	479	10	.	.	PUNCT
cana-1060	480	1	h.	h.	PROPN
cana-1060	480	2	el	el	PROPN
cana-1060	480	3	-	-	PUNCT
cana-1060	480	4	bagoury	bagoury	PROPN
cana-1060	480	5	,	,	PUNCT
cana-1060	480	6	m.a.a	m.a.a	PROPN
cana-1060	480	7	.	.	PUNCT
cana-1060	481	1	khan	khan	PROPN
cana-1060	481	2	,	,	PUNCT
cana-1060	481	3	s.	s.	PROPN
cana-1060	481	4	mondal	mondal	PROPN
cana-1060	481	5	,	,	PUNCT
cana-1060	481	6	a.a	a.a	PROPN
cana-1060	481	7	.	.	PROPN
cana-1060	481	8	shaikh	shaikh	PROPN
cana-1060	481	9	and	and	CCONJ
cana-1060	481	10	rashid	rashid	PROPN
cana-1060	481	11	,	,	PUNCT
cana-1060	481	12	economic	economic	ADJ
cana-1060	481	13	order	order	NOUN
cana-1060	481	14	quantity	quantity	NOUN
cana-1060	481	15	model	model	NOUN
cana-1060	481	16	with	with	ADP
cana-1060	481	17	weibull	weibull	PROPN
cana-1060	481	18	distributed	distribute	VERB
cana-1060	481	19	deterioration	deterioration	NOUN
cana-1060	481	20	under	under	ADP
cana-1060	481	21	a	a	DET
cana-1060	481	22	mixed	mixed	ADJ
cana-1060	481	23	cash	cash	NOUN
cana-1060	481	24	and	and	CCONJ
cana-1060	481	25	prepayment	prepayment	NOUN
cana-1060	481	26	scheme	scheme	NOUN
cana-1060	481	27	,	,	PUNCT
cana-1060	481	28	computational	computational	ADJ
cana-1060	481	29	intelligence	intelligence	NOUN
cana-1060	481	30	and	and	CCONJ
cana-1060	481	31	neuroscience	neuroscience	NOUN
cana-1060	481	32	.	.	PUNCT
cana-1060	482	1	2021	2021	NUM
cana-1060	482	2	.	.	PUNCT
cana-1060	483	1	https://doi.org/10.1155/2021/9588685	https://doi.org/10.1155/2021/9588685	PROPN
cana-1060	483	2	.	.	PUNCT
cana-1060	484	1	[	[	X
cana-1060	484	2	8	8	NUM
cana-1060	484	3	]	]	X
cana-1060	484	4	b.	b.	PROPN
cana-1060	484	5	khara	khara	PROPN
cana-1060	484	6	,	,	PUNCT
cana-1060	484	7	j.k	j.k	PROPN
cana-1060	484	8	.	.	PROPN
cana-1060	484	9	dey	dey	PROPN
cana-1060	484	10	,	,	PUNCT
cana-1060	484	11	and	and	CCONJ
cana-1060	484	12	s.k	s.k	PROPN
cana-1060	484	13	.	.	PROPN
cana-1060	484	14	mondal	mondal	PROPN
cana-1060	484	15	,	,	PUNCT
cana-1060	484	16	an	an	DET
cana-1060	484	17	integrated	integrate	VERB
cana-1060	484	18	imperfect	imperfect	ADJ
cana-1060	484	19	production	production	NOUN
cana-1060	484	20	system	system	NOUN
cana-1060	484	21	with	with	ADP
cana-1060	484	22	advertisement	advertisement	NOUN
cana-1060	484	23	dependent	dependent	ADJ
cana-1060	484	24	demand	demand	NOUN
cana-1060	484	25	using	use	VERB
cana-1060	484	26	branch	branch	NOUN
cana-1060	484	27	and	and	CCONJ
cana-1060	484	28	bound	bind	VERB
cana-1060	484	29	technique	technique	NOUN
cana-1060	484	30	,	,	PUNCT
cana-1060	484	31	flexible	flexible	ADJ
cana-1060	484	32	services	service	NOUN
cana-1060	484	33	and	and	CCONJ
cana-1060	484	34	manufacturing	manufacturing	NOUN
cana-1060	484	35	journal	journal	NOUN
cana-1060	484	36	.	.	PUNCT
cana-1060	485	1	2021;33(2):508	2021;33(2):508	NUM
cana-1060	485	2	-	-	SYM
cana-1060	485	3	546	546	NUM
cana-1060	485	4	.	.	PUNCT
cana-1060	486	1	[	[	X
cana-1060	486	2	9	9	NUM
cana-1060	486	3	]	]	PUNCT
cana-1060	486	4	c.	c.	NOUN
cana-1060	486	5	mahato	mahato	PROPN
cana-1060	486	6	and	and	CCONJ
cana-1060	486	7	g.	g.	PROPN
cana-1060	486	8	c.	c.	PROPN
cana-1060	486	9	mahata	mahata	PROPN
cana-1060	486	10	,	,	PUNCT
cana-1060	486	11	optimal	optimal	ADJ
cana-1060	486	12	inventory	inventory	NOUN
cana-1060	486	13	policies	policy	NOUN
cana-1060	486	14	for	for	ADP
cana-1060	486	15	deteriorating	deteriorate	VERB
cana-1060	486	16	items	item	NOUN
cana-1060	486	17	with	with	ADP
cana-1060	486	18	expiration	expiration	NOUN
cana-1060	486	19	date	date	NOUN
cana-1060	486	20	and	and	CCONJ
cana-1060	486	21	dynamic	dynamic	ADJ
cana-1060	486	22	demand	demand	NOUN
cana-1060	486	23	under	under	ADP
cana-1060	486	24	two	two	NUM
cana-1060	486	25	-	-	PUNCT
cana-1060	486	26	level	level	NOUN
cana-1060	486	27	trade	trade	NOUN
cana-1060	486	28	credit	credit	NOUN
cana-1060	486	29	,	,	PUNCT
cana-1060	486	30	opsearch.2021;58:994	opsearch.2021;58:994	PROPN
cana-1060	486	31	-	-	PUNCT
cana-1060	486	32	1017	1017	NUM
cana-1060	486	33	.	.	PUNCT
cana-1060	487	1	[	[	X
cana-1060	487	2	10	10	NUM
cana-1060	487	3	]	]	X
cana-1060	487	4	m.s	m.s	PROPN
cana-1060	487	5	.	.	PROPN
cana-1060	487	6	rahman	rahman	PROPN
cana-1060	487	7	,	,	PUNCT
cana-1060	487	8	m.a.a	m.a.a	PROPN
cana-1060	487	9	.	.	PUNCT
cana-1060	488	1	khan	khan	PROPN
cana-1060	488	2	,	,	PUNCT
cana-1060	488	3	m.a	m.a	PROPN
cana-1060	488	4	.	.	PROPN
cana-1060	488	5	halim	halim	PROPN
cana-1060	488	6	,	,	PUNCT
cana-1060	488	7	t.a	t.a	PROPN
cana-1060	488	8	.	.	PROPN
cana-1060	488	9	nofal	nofal	PROPN
cana-1060	488	10	,	,	PUNCT
cana-1060	488	11	a.a	a.a	PROPN
cana-1060	488	12	.	.	PROPN
cana-1060	488	13	shaikh	shaikh	PROPN
cana-1060	488	14	and	and	CCONJ
cana-1060	488	15	e.e	e.e	PROPN
cana-1060	488	16	.	.	PROPN
cana-1060	488	17	mahmoud	mahmoud	PROPN
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cana-1060	488	19	2021	2021	NUM
cana-1060	488	20	,	,	PUNCT
cana-1060	488	21	hybrid	hybrid	ADJ
cana-1060	488	22	price	price	NOUN
cana-1060	488	23	and	and	CCONJ
cana-1060	488	24	stock	stock	NOUN
cana-1060	488	25	dependent	dependent	ADJ
cana-1060	488	26	inventory	inventory	NOUN
cana-1060	488	27	model	model	NOUN
cana-1060	488	28	for	for	ADP
cana-1060	488	29	perishable	perishable	ADJ
cana-1060	488	30	goods	good	NOUN
cana-1060	488	31	with	with	ADP
cana-1060	488	32	advance	advance	NOUN
cana-1060	488	33	payment	payment	NOUN
cana-1060	488	34	related	relate	VERB
cana-1060	488	35	discount	discount	NOUN
cana-1060	488	36	facilities	facility	NOUN
cana-1060	488	37	under	under	ADP
cana-1060	488	38	preservation	preservation	NOUN
cana-1060	488	39	technology	technology	NOUN
cana-1060	488	40	,	,	PUNCT
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cana-1060	488	44	.	.	PUNCT
cana-1060	489	1	2021;60(3):34553465	2021;60(3):34553465	NUM
cana-1060	489	2	.	.	PUNCT
cana-1060	490	1	https://doi.org/10.1016/j.aej.2021.01.045	https://doi.org/10.1016/j.aej.2021.01.045	PROPN
cana-1060	490	2	[	[	X
cana-1060	490	3	11	11	NUM
cana-1060	490	4	]	]	X
cana-1060	490	5	l.a	l.a	PROPN
cana-1060	490	6	.	.	PROPN
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cana-1060	490	8	-	-	PUNCT
cana-1060	490	9	josé	josé	PROPN
cana-1060	490	10	,	,	PUNCT
cana-1060	490	11	j.	j.	PROPN
cana-1060	490	12	sicilia	sicilia	PROPN
cana-1060	490	13	,	,	PUNCT
cana-1060	490	14	and	and	CCONJ
cana-1060	490	15	b.	b.	PROPN
cana-1060	490	16	abdul	abdul	PROPN
cana-1060	490	17	-	-	PUNCT
cana-1060	490	18	jalbar	jalbar	PROPN
cana-1060	490	19	,	,	PUNCT
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cana-1060	490	21	policy	policy	NOUN
cana-1060	490	22	for	for	ADP
cana-1060	490	23	an	an	DET
cana-1060	490	24	inventory	inventory	NOUN
cana-1060	490	25	system	system	NOUN
cana-1060	490	26	with	with	ADP
cana-1060	490	27	demand	demand	NOUN
cana-1060	490	28	dependent	dependent	ADJ
cana-1060	490	29	on	on	ADP
cana-1060	490	30	price	price	NOUN
cana-1060	490	31	,	,	PUNCT
cana-1060	490	32	time	time	NOUN
cana-1060	490	33	and	and	CCONJ
cana-1060	490	34	frequency	frequency	NOUN
cana-1060	490	35	of	of	ADP
cana-1060	490	36	advertisement	advertisement	NOUN
cana-1060	490	37	,	,	PUNCT
cana-1060	490	38	computers	computer	NOUN
cana-1060	490	39	&	&	CCONJ
cana-1060	490	40	operations	operation	NOUN
cana-1060	490	41	research	research	NOUN
cana-1060	490	42	.	.	PUNCT
cana-1060	491	1	2021	2021	NUM
cana-1060	491	2	;	;	PUNCT
cana-1060	491	3	128	128	NUM
cana-1060	491	4	.	.	PUNCT
cana-1060	492	1	https://doi.org/10.1016/j.cor.2020.105169	https://doi.org/10.1016/j.cor.2020.105169	PUNCT
cana-1060	493	1	[	[	X
cana-1060	493	2	12	12	NUM
cana-1060	493	3	]	]	PUNCT
cana-1060	493	4	m.	m.	NOUN
cana-1060	493	5	sebatjane	sebatjane	NOUN
cana-1060	493	6	,	,	PUNCT
cana-1060	493	7	and	and	CCONJ
cana-1060	493	8	o.	o.	PROPN
cana-1060	493	9	adetunji	adetunji	PROPN
cana-1060	493	10	,	,	PUNCT
cana-1060	493	11	optimal	optimal	ADJ
cana-1060	493	12	lot	lot	NOUN
cana-1060	493	13	-	-	PUNCT
cana-1060	493	14	sizing	size	VERB
cana-1060	493	15	and	and	CCONJ
cana-1060	493	16	shipment	shipment	NOUN
cana-1060	493	17	decisions	decision	NOUN
cana-1060	493	18	in	in	ADP
cana-1060	493	19	a	a	DET
cana-1060	493	20	three	three	NUM
cana-1060	493	21	-	-	PUNCT
cana-1060	493	22	echelon	echelon	NOUN
cana-1060	493	23	supply	supply	NOUN
cana-1060	493	24	chain	chain	NOUN
cana-1060	493	25	for	for	ADP
cana-1060	493	26	growing	grow	VERB
cana-1060	493	27	items	item	NOUN
cana-1060	493	28	with	with	ADP
cana-1060	493	29	inventory	inventory	NOUN
cana-1060	493	30	level	level	NOUN
cana-1060	493	31	-	-	PUNCT
cana-1060	493	32	and	and	CCONJ
cana-1060	493	33	expiration	expiration	NOUN
cana-1060	493	34	date	date	NOUN
cana-1060	493	35	-	-	PUNCT
cana-1060	493	36	dependent	dependent	ADJ
cana-1060	493	37	demand	demand	NOUN
cana-1060	493	38	,	,	PUNCT
cana-1060	493	39	applied	apply	VERB
cana-1060	493	40	mathematical	mathematical	ADJ
cana-1060	493	41	modelling	modelling	NOUN
cana-1060	493	42	.	.	PUNCT
cana-1060	494	1	2021;90:1204	2021;90:1204	NUM
cana-1060	494	2	-	-	SYM
cana-1060	494	3	1225	1225	NUM
cana-1060	494	4	.	.	PUNCT
cana-1060	495	1	https://doi.org/10.1016/j.apm.2020.10.021	https://doi.org/10.1016/j.apm.2020.10.021	NOUN
cana-1060	496	1	[	[	X
cana-1060	496	2	13	13	NUM
cana-1060	496	3	]	]	PUNCT
cana-1060	496	4	r.	r.	PROPN
cana-1060	496	5	udayakumar	udayakumar	PROPN
cana-1060	496	6	,	,	PUNCT
cana-1060	496	7	k.v	k.v	PROPN
cana-1060	496	8	.	.	PROPN
cana-1060	496	9	geetha	geetha	PROPN
cana-1060	496	10	,	,	PUNCT
cana-1060	496	11	and	and	CCONJ
cana-1060	496	12	s.s	s.s	PROPN
cana-1060	496	13	.	.	PROPN
cana-1060	496	14	sana	sana	PROPN
cana-1060	496	15	,	,	PUNCT
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cana-1060	496	17	ordering	ordering	NOUN
cana-1060	496	18	policy	policy	NOUN
cana-1060	496	19	for	for	ADP
cana-1060	496	20	non	non	ADJ
cana-1060	496	21	-	-	ADJ
cana-1060	496	22	instantaneous	instantaneous	ADJ
cana-1060	496	23	deteriorating	deteriorate	VERB
cana-1060	496	24	items	item	NOUN
cana-1060	496	25	with	with	ADP
cana-1060	496	26	price	price	NOUN
cana-1060	496	27	and	and	CCONJ
cana-1060	496	28	advertisement	advertisement	VERB
cana-1060	496	29	dependent	dependent	ADJ
cana-1060	496	30	demand	demand	NOUN
cana-1060	496	31	and	and	CCONJ
cana-1060	496	32	permissible	permissible	ADJ
cana-1060	496	33	delay	delay	NOUN
cana-1060	496	34	in	in	ADP
cana-1060	496	35	payment	payment	NOUN
cana-1060	496	36	under	under	ADP
cana-1060	496	37	inflation	inflation	NOUN
cana-1060	496	38	,	,	PUNCT
cana-1060	496	39	mathematical	mathematical	ADJ
cana-1060	496	40	methods	method	NOUN
cana-1060	496	41	in	in	ADP
cana-1060	496	42	the	the	DET
cana-1060	496	43	applied	apply	VERB
cana-1060	496	44	sciences	science	NOUN
cana-1060	496	45	.	.	PUNCT
cana-1060	497	1	2021;44(9):7697	2021;44(9):7697	NUM
cana-1060	497	2	-	-	SYM
cana-1060	497	3	7721	7721	NUM
cana-1060	497	4	.	.	PUNCT
cana-1060	498	1	doi:10.1002	doi:10.1002	NOUN
cana-1060	498	2	/	/	SYM
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cana-1060	498	4	[	[	X
cana-1060	498	5	14	14	NUM
cana-1060	498	6	]	]	PUNCT
cana-1060	498	7	m.	m.	PROPN
cana-1060	498	8	choudhury	choudhury	PROPN
cana-1060	498	9	,	,	PUNCT
cana-1060	498	10	s.k	s.k	PROPN
cana-1060	498	11	.	.	PROPN
cana-1060	498	12	de	de	PROPN
cana-1060	498	13	and	and	CCONJ
cana-1060	498	14	g.c	g.c	PROPN
cana-1060	498	15	.	.	PROPN
cana-1060	498	16	mahata	mahata	PROPN
cana-1060	498	17	,	,	PUNCT
cana-1060	498	18	pollution	pollution	NOUN
cana-1060	498	19	-	-	PUNCT
cana-1060	498	20	sensitive	sensitive	ADJ
cana-1060	498	21	integrated	integrate	VERB
cana-1060	498	22	productioninventory	productioninventory	ADJ
cana-1060	498	23	management	management	NOUN
cana-1060	498	24	for	for	ADP
cana-1060	498	25	deteriorating	deteriorate	VERB
cana-1060	498	26	items	item	NOUN
cana-1060	498	27	with	with	ADP
cana-1060	498	28	quality	quality	NOUN
cana-1060	498	29	loss	loss	NOUN
cana-1060	498	30	and	and	CCONJ
cana-1060	498	31	quantity	quantity	NOUN
cana-1060	498	32	loss	loss	NOUN
cana-1060	498	33	with	with	ADP
cana-1060	498	34	expiration	expiration	NOUN
cana-1060	498	35	date	date	NOUN
cana-1060	498	36	,	,	PUNCT
cana-1060	498	37	international	international	ADJ
cana-1060	498	38	journal	journal	NOUN
cana-1060	498	39	of	of	ADP
cana-1060	498	40	systems	system	NOUN
cana-1060	498	41	science	science	NOUN
cana-1060	498	42	:	:	PUNCT
cana-1060	498	43	operations	operation	NOUN
cana-1060	498	44	&	&	CCONJ
cana-1060	498	45	logistics	logistic	NOUN
cana-1060	498	46	.	.	PUNCT
cana-1060	499	1	2022;9:546	2022;9:546	NUM
cana-1060	499	2	-	-	SYM
cana-1060	499	3	568	568	NUM
cana-1060	499	4	.	.	PUNCT
cana-1060	499	5	https://doi.org/10.1080/23302674.2021.1950863	https://doi.org/10.1080/23302674.2021.1950863	PUNCT
cana-1060	500	1	[	[	X
cana-1060	500	2	15	15	NUM
cana-1060	500	3	]	]	X
cana-1060	500	4	duary	duary	NOUN
cana-1060	500	5	,	,	PUNCT
cana-1060	500	6	s.	s.	PROPN
cana-1060	500	7	das	das	PROPN
cana-1060	500	8	,	,	PUNCT
cana-1060	500	9	m.g	m.g	PROPN
cana-1060	500	10	.	.	PROPN
cana-1060	500	11	arif	arif	PROPN
cana-1060	500	12	,	,	PUNCT
cana-1060	500	13	k.m	k.m	PROPN
cana-1060	500	14	.	.	PROPN
cana-1060	500	15	abualnaja	abualnaja	PROPN
cana-1060	500	16	,	,	PUNCT
cana-1060	500	17	m.a.a	m.a.a	PROPN
cana-1060	500	18	.	.	PUNCT
cana-1060	501	1	khan	khan	PROPN
cana-1060	501	2	,	,	PUNCT
cana-1060	501	3	m.	m.	NOUN
cana-1060	501	4	zakarya	zakarya	NOUN
cana-1060	501	5	and	and	CCONJ
cana-1060	501	6	a.	a.	NOUN
cana-1060	501	7	a.	a.	NOUN
cana-1060	501	8	shaikh	shaikh	PROPN
cana-1060	501	9	,	,	PUNCT
cana-1060	501	10	advance	advance	NOUN
cana-1060	501	11	and	and	CCONJ
cana-1060	501	12	delay	delay	VERB
cana-1060	501	13	in	in	ADP
cana-1060	501	14	payments	payment	NOUN
cana-1060	501	15	with	with	ADP
cana-1060	501	16	the	the	DET
cana-1060	501	17	price	price	NOUN
cana-1060	501	18	-	-	PUNCT
cana-1060	501	19	discount	discount	NOUN
cana-1060	501	20	inventory	inventory	NOUN
cana-1060	501	21	model	model	NOUN
cana-1060	501	22	for	for	ADP
cana-1060	501	23	deteriorating	deteriorate	VERB
cana-1060	501	24	items	item	NOUN
cana-1060	501	25	under	under	ADP
cana-1060	501	26	capacity	capacity	NOUN
cana-1060	501	27	constraint	constraint	NOUN
cana-1060	501	28	and	and	CCONJ
cana-1060	501	29	partially	partially	ADV
cana-1060	501	30	backlogged	backlogge	VERB
cana-1060	501	31	shortages	shortage	NOUN
cana-1060	501	32	,	,	PUNCT
cana-1060	501	33	alexandria	alexandria	PROPN
cana-1060	501	34	engineering	engineering	PROPN
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cana-1060	501	36	.	.	PUNCT
cana-1060	502	1	2022;61(2):1735	2022;61(2):1735	NUM
cana-1060	502	2	-	-	SYM
cana-1060	502	3	1745	1745	NUM
cana-1060	502	4	.	.	PUNCT
cana-1060	503	1	https://doi.org/10.1016/j.aej.2021.06.070	https://doi.org/10.1016/j.aej.2021.06.070	PROPN
cana-1060	503	2	[	[	X
cana-1060	503	3	16	16	NUM
cana-1060	503	4	]	]	PUNCT
cana-1060	503	5	m.	m.	NOUN
cana-1060	503	6	a.-a	a.-a	PROPN
cana-1060	503	7	.	.	PUNCT
cana-1060	504	1	khan	khan	PROPN
cana-1060	504	2	,	,	PUNCT
cana-1060	504	3	m.	m.	NOUN
cana-1060	504	4	a.	a.	PROPN
cana-1060	504	5	halim	halim	PROPN
cana-1060	504	6	,	,	PUNCT
cana-1060	504	7	a.	a.	PROPN
cana-1060	504	8	alarjani	alarjani	PROPN
cana-1060	504	9	,	,	PUNCT
cana-1060	504	10	a.a	a.a	PROPN
cana-1060	504	11	.	.	PROPN
cana-1060	504	12	shaikh	shaikh	PROPN
cana-1060	504	13	and	and	CCONJ
cana-1060	504	14	m.s	m.s	PROPN
cana-1060	504	15	.	.	PUNCT
cana-1060	505	1	uddin	uddin	PROPN
cana-1060	505	2	,	,	PUNCT
cana-1060	505	3	inventory	inventory	NOUN
cana-1060	505	4	management	management	NOUN
cana-1060	505	5	with	with	ADP
cana-1060	505	6	hybrid	hybrid	ADJ
cana-1060	505	7	cash	cash	NOUN
cana-1060	505	8	-	-	PUNCT
cana-1060	505	9	advance	advance	NOUN
cana-1060	505	10	payment	payment	NOUN
cana-1060	505	11	for	for	ADP
cana-1060	505	12	time	time	NOUN
cana-1060	505	13	-	-	PUNCT
cana-1060	505	14	dependent	dependent	ADJ
cana-1060	505	15	demand	demand	NOUN
cana-1060	505	16	,	,	PUNCT
cana-1060	505	17	time	time	NOUN
cana-1060	505	18	-	-	PUNCT
cana-1060	505	19	varying	vary	VERB
cana-1060	505	20	holding	hold	VERB
cana-1060	505	21	cost	cost	NOUN
cana-1060	505	22	and	and	CCONJ
cana-1060	505	23	noninstantaneous	noninstantaneous	ADJ
cana-1060	505	24	deterioration	deterioration	NOUN
cana-1060	505	25	under	under	ADP
cana-1060	505	26	backordering	backordere	VERB
cana-1060	505	27	and	and	CCONJ
cana-1060	505	28	non	non	ADJ
cana-1060	505	29	-	-	ADJ
cana-1060	505	30	terminating	terminating	ADJ
cana-1060	505	31	situations	situation	NOUN
cana-1060	505	32	,	,	PUNCT
cana-1060	505	33	alexandria	alexandria	PROPN
cana-1060	505	34	engineering	engineering	PROPN
cana-1060	505	35	journal	journal	PROPN
cana-1060	505	36	.	.	PUNCT
cana-1060	506	1	2022;61(11):8469	2022;61(11):8469	NOUN
cana-1060	506	2	-	-	PROPN
cana-1060	506	3	8486	8486	NUM
cana-1060	506	4	.	.	PUNCT
cana-1060	507	1	https://doi.org/10.1016/j.aej.2022.02.006	https://doi.org/10.1016/j.aej.2022.02.006	PRON
cana-1060	507	2	[	[	X
cana-1060	507	3	17	17	NUM
cana-1060	507	4	]	]	X
cana-1060	507	5	n.	n.	NOUN
cana-1060	507	6	manavizadeh	manavizadeh	PROPN
cana-1060	507	7	,	,	PUNCT
cana-1060	507	8	m.	m.	NOUN
cana-1060	507	9	shaabani	shaabani	NOUN
cana-1060	507	10	and	and	CCONJ
cana-1060	507	11	m.	m.	NOUN
cana-1060	507	12	rabani	rabani	PROPN
cana-1060	507	13	(	(	PUNCT
cana-1060	507	14	2022	2022	NUM
cana-1060	507	15	)	)	PUNCT
cana-1060	507	16	,	,	PUNCT
cana-1060	507	17	jointly	jointly	ADV
cana-1060	507	18	control	control	NOUN
cana-1060	507	19	of	of	ADP
cana-1060	507	20	inventory	inventory	NOUN
cana-1060	507	21	and	and	CCONJ
cana-1060	507	22	its	its	PRON
cana-1060	507	23	pricing	pricing	NOUN
cana-1060	507	24	for	for	ADP
cana-1060	507	25	a	a	DET
cana-1060	507	26	deteriorating	deteriorate	VERB
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cana-1060	507	28	under	under	ADP
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cana-1060	527	8	banu	banu	PROPN
cana-1060	527	9	and	and	CCONJ
cana-1060	527	10	s.k	s.k	PROPN
cana-1060	527	11	.	.	PROPN
cana-1060	527	12	mondal	mondal	PROPN
cana-1060	527	13	,	,	PUNCT
cana-1060	527	14	an	an	DET
cana-1060	527	15	integrated	integrate	VERB
cana-1060	527	16	inventory	inventory	NOUN
cana-1060	527	17	model	model	NOUN
cana-1060	527	18	for	for	ADP
cana-1060	527	19	non	non	ADJ
cana-1060	527	20	-	-	ADJ
cana-1060	527	21	instantaneous	instantaneous	ADJ
cana-1060	527	22	deteriorating	deteriorate	VERB
cana-1060	527	23	item	item	NOUN
cana-1060	527	24	stochastic	stochastic	NOUN
cana-1060	527	25	demand	demand	NOUN
cana-1060	527	26	,	,	PUNCT
cana-1060	527	27	rairo	rairo	PROPN
cana-1060	527	28	operations	operation	NOUN
cana-1060	527	29	research	research	NOUN
cana-1060	527	30	.	.	PUNCT
cana-1060	528	1	2024;58(1):151	2024;58(1):151	NUM
cana-1060	528	2	-	-	SYM
cana-1060	528	3	183	183	NUM
cana-1060	528	4	.	.	PUNCT
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cana-1060	529	2	[	[	X
cana-1060	529	3	24	24	NUM
cana-1060	529	4	]	]	X
cana-1060	529	5	a.f	a.f	PROPN
cana-1060	529	6	.	.	PROPN
cana-1060	529	7	momena	momena	PROPN
cana-1060	529	8	,	,	PUNCT
cana-1060	529	9	r.	r.	PROPN
cana-1060	529	10	haque	haque	PROPN
cana-1060	529	11	,	,	PUNCT
cana-1060	529	12	m.	m.	NOUN
cana-1060	529	13	rahaman	rahaman	NOUN
cana-1060	529	14	and	and	CCONJ
cana-1060	529	15	s.p	s.p	PROPN
cana-1060	529	16	.	.	PUNCT
cana-1060	529	17	mondal	mondal	PROPN
cana-1060	529	18	,	,	PUNCT
cana-1060	529	19	a	a	DET
cana-1060	529	20	two	two	NUM
cana-1060	529	21	storage	storage	NOUN
cana-1060	529	22	inventory	inventory	NOUN
cana-1060	529	23	model	model	NOUN
cana-1060	529	24	with	with	ADP
cana-1060	529	25	trade	trade	NOUN
cana-1060	529	26	credit	credit	NOUN
cana-1060	529	27	policy	policy	NOUN
cana-1060	529	28	and	and	CCONJ
cana-1060	529	29	time	time	NOUN
cana-1060	529	30	varying	vary	VERB
cana-1060	529	31	holding	hold	VERB
cana-1060	529	32	cost	cost	NOUN
cana-1060	529	33	under	under	ADP
cana-1060	529	34	quantity	quantity	NOUN
cana-1060	529	35	discount	discount	NOUN
cana-1060	529	36	,	,	PUNCT
cana-1060	529	37	mdpi	mdpi	ADJ
cana-1060	529	38	logistics	logistic	NOUN
cana-1060	529	39	.	.	PUNCT
cana-1060	530	1	2024;7(4):77	2024;7(4):77	X
cana-1060	530	2	.	.	PUNCT
cana-1060	530	3	https://doi.org/10.3390/logistics7040077	https://doi.org/10.3390/logistics7040077	PROPN
cana-1060	530	4	http://dx.doi.org/10.3934/jimo.2022176	http://dx.doi.org/10.3934/jimo.2022176	PROPN
cana-1060	530	5	http://dx.doi.org/10.3934/jimo.2022176	http://dx.doi.org/10.3934/jimo.2022176	X
cana-1060	530	6	http://dx.doi.org/10.3934/jimo.2022176	http://dx.doi.org/10.3934/jimo.2022176	X
cana-1060	530	7	http://dx.doi.org/10.3934/jimo.2022176	http://dx.doi.org/10.3934/jimo.2022176	X
cana-1060	530	8	http://dx.doi.org/10.3934/jimo.2022176	http://dx.doi.org/10.3934/jimo.2022176	PRON
cana-1060	530	9	https://doi.org/10.3934/jimo.2022176	https://doi.org/10.3934/jimo.2022176	PROPN
cana-1060	530	10	https://doi.org/10.3390/logistics7040077	https://doi.org/10.3390/logistics7040077	PROPN