id	sid	tid	token	lemma	pos
cana-5424	1	1	article	article	NOUN
cana-5424	1	2	history	history	NOUN
cana-5424	1	3	:	:	PUNCT
cana-5424	1	4	received	receive	VERB
cana-5424	1	5	:	:	PUNCT
cana-5424	1	6	12	12	NUM
cana-5424	1	7	-	-	SYM
cana-5424	1	8	01	01	NUM
cana-5424	1	9	-	-	PUNCT
cana-5424	1	10	2025	2025	NUM
cana-5424	1	11	revised	revise	VERB
cana-5424	1	12	:	:	PUNCT
cana-5424	1	13	14	14	NUM
cana-5424	1	14	-	-	SYM
cana-5424	1	15	02	02	NUM
cana-5424	1	16	-	-	PUNCT
cana-5424	1	17	2025	2025	NUM
cana-5424	1	18	accepted	accept	VERB
cana-5424	1	19	:	:	PUNCT
cana-5424	1	20	10	10	NUM
cana-5424	1	21	-	-	SYM
cana-5424	1	22	03	03	NUM
cana-5424	1	23	-	-	PUNCT
cana-5424	1	24	2025	2025	NUM
cana-5424	1	25	abstract	abstract	NOUN
cana-5424	1	26	:	:	PUNCT
cana-5424	1	27	in	in	ADP
cana-5424	1	28	today	today	NOUN
cana-5424	1	29	’s	’s	PART
cana-5424	1	30	competitive	competitive	ADJ
cana-5424	1	31	scenario	scenario	NOUN
cana-5424	1	32	,	,	PUNCT
cana-5424	1	33	many	many	ADJ
cana-5424	1	34	business	business	NOUN
cana-5424	1	35	organizations	organization	NOUN
cana-5424	1	36	provide	provide	VERB
cana-5424	1	37	their	their	PRON
cana-5424	1	38	customers	customer	NOUN
cana-5424	1	39	with	with	ADP
cana-5424	1	40	personalization	personalization	NOUN
cana-5424	1	41	options	option	NOUN
cana-5424	1	42	,	,	PUNCT
cana-5424	1	43	thereby	thereby	ADV
cana-5424	1	44	increasing	increase	VERB
cana-5424	1	45	customer	customer	NOUN
cana-5424	1	46	satisfaction	satisfaction	NOUN
cana-5424	1	47	through	through	ADP
cana-5424	1	48	a	a	DET
cana-5424	1	49	wide	wide	ADJ
cana-5424	1	50	range	range	NOUN
cana-5424	1	51	of	of	ADP
cana-5424	1	52	choices	choice	NOUN
cana-5424	1	53	.	.	PUNCT
cana-5424	2	1	this	this	DET
cana-5424	2	2	strategy	strategy	NOUN
cana-5424	2	3	boosts	boost	VERB
cana-5424	2	4	profitability	profitability	NOUN
cana-5424	2	5	for	for	ADP
cana-5424	2	6	various	various	ADJ
cana-5424	2	7	technologically	technologically	ADV
cana-5424	2	8	advanced	advanced	ADJ
cana-5424	2	9	businesses	business	NOUN
cana-5424	2	10	.	.	PUNCT
cana-5424	3	1	in	in	ADP
cana-5424	3	2	this	this	DET
cana-5424	3	3	study	study	NOUN
cana-5424	3	4	,	,	PUNCT
cana-5424	3	5	a	a	DET
cana-5424	3	6	dual	dual	ADJ
cana-5424	3	7	-	-	PUNCT
cana-5424	3	8	channel	channel	NOUN
cana-5424	3	9	supply	supply	NOUN
cana-5424	3	10	chain	chain	NOUN
cana-5424	3	11	model	model	NOUN
cana-5424	3	12	with	with	ADP
cana-5424	3	13	customization	customization	NOUN
cana-5424	3	14	is	be	AUX
cana-5424	3	15	developed	develop	VERB
cana-5424	3	16	to	to	PART
cana-5424	3	17	enhance	enhance	VERB
cana-5424	3	18	firm	firm	ADJ
cana-5424	3	19	profits	profit	NOUN
cana-5424	3	20	.	.	PUNCT
cana-5424	4	1	dual	dual	ADJ
cana-5424	4	2	-	-	PUNCT
cana-5424	4	3	channel	channel	NOUN
cana-5424	4	4	retailing	retailing	NOUN
cana-5424	4	5	delivers	deliver	VERB
cana-5424	4	6	personalized	personalized	ADJ
cana-5424	4	7	products	product	NOUN
cana-5424	4	8	online	online	ADV
cana-5424	4	9	,	,	PUNCT
cana-5424	4	10	while	while	SCONJ
cana-5424	4	11	standard	standard	ADJ
cana-5424	4	12	products	product	NOUN
cana-5424	4	13	are	be	AUX
cana-5424	4	14	available	available	ADJ
cana-5424	4	15	via	via	ADP
cana-5424	4	16	traditional	traditional	ADJ
cana-5424	4	17	retail	retail	ADJ
cana-5424	4	18	channels	channel	NOUN
cana-5424	4	19	.	.	PUNCT
cana-5424	5	1	this	this	DET
cana-5424	5	2	paper	paper	NOUN
cana-5424	5	3	modifies	modify	VERB
cana-5424	5	4	the	the	DET
cana-5424	5	5	existing	exist	VERB
cana-5424	5	6	dual	dual	ADJ
cana-5424	5	7	-	-	PUNCT
cana-5424	5	8	channel	channel	NOUN
cana-5424	5	9	model	model	NOUN
cana-5424	5	10	by	by	ADP
cana-5424	5	11	considering	consider	VERB
cana-5424	5	12	customer	customer	NOUN
cana-5424	5	13	switching	switch	VERB
cana-5424	5	14	behavior	behavior	NOUN
cana-5424	5	15	between	between	ADP
cana-5424	5	16	the	the	DET
cana-5424	5	17	two	two	NUM
cana-5424	5	18	channels	channel	NOUN
cana-5424	5	19	.	.	PUNCT
cana-5424	6	1	it	it	PRON
cana-5424	6	2	also	also	ADV
cana-5424	6	3	introduces	introduce	VERB
cana-5424	6	4	a	a	DET
cana-5424	6	5	pre	pre	ADJ
cana-5424	6	6	-	-	ADJ
cana-5424	6	7	assigned	assign	VERB
cana-5424	6	8	threshold	threshold	NOUN
cana-5424	6	9	that	that	PRON
cana-5424	6	10	signifies	signify	VERB
cana-5424	6	11	demand	demand	NOUN
cana-5424	6	12	decline	decline	VERB
cana-5424	6	13	when	when	SCONJ
cana-5424	6	14	the	the	DET
cana-5424	6	15	price	price	NOUN
cana-5424	6	16	difference	difference	NOUN
cana-5424	6	17	between	between	ADP
cana-5424	6	18	the	the	DET
cana-5424	6	19	online	online	ADJ
cana-5424	6	20	and	and	CCONJ
cana-5424	6	21	offline	offline	ADJ
cana-5424	6	22	channels	channel	NOUN
cana-5424	6	23	exceeds	exceed	VERB
cana-5424	6	24	a	a	DET
cana-5424	6	25	specific	specific	ADJ
cana-5424	6	26	limit	limit	NOUN
cana-5424	6	27	.	.	PUNCT
cana-5424	7	1	furthermore	furthermore	ADV
cana-5424	7	2	,	,	PUNCT
cana-5424	7	3	the	the	DET
cana-5424	7	4	model	model	NOUN
cana-5424	7	5	incorporates	incorporate	VERB
cana-5424	7	6	demand	demand	NOUN
cana-5424	7	7	uncertainty	uncertainty	NOUN
cana-5424	7	8	and	and	CCONJ
cana-5424	7	9	fluctuation	fluctuation	NOUN
cana-5424	7	10	using	use	VERB
cana-5424	7	11	a	a	DET
cana-5424	7	12	distribution	distribution	NOUN
cana-5424	7	13	-	-	PUNCT
cana-5424	7	14	free	free	ADJ
cana-5424	7	15	approach	approach	NOUN
cana-5424	7	16	.	.	PUNCT
cana-5424	8	1	demand	demand	NOUN
cana-5424	8	2	price	price	NOUN
cana-5424	8	3	-	-	PUNCT
cana-5424	8	4	sensitivity	sensitivity	NOUN
cana-5424	8	5	is	be	AUX
cana-5424	8	6	also	also	ADV
cana-5424	8	7	considered	consider	VERB
cana-5424	8	8	in	in	ADP
cana-5424	8	9	constructing	construct	VERB
cana-5424	8	10	the	the	DET
cana-5424	8	11	centralized	centralized	ADJ
cana-5424	8	12	dual	dual	ADJ
cana-5424	8	13	-	-	PUNCT
cana-5424	8	14	channel	channel	NOUN
cana-5424	8	15	supply	supply	NOUN
cana-5424	8	16	chain	chain	NOUN
cana-5424	8	17	model	model	NOUN
cana-5424	8	18	.	.	PUNCT
cana-5424	9	1	the	the	DET
cana-5424	9	2	study	study	NOUN
cana-5424	9	3	concludes	conclude	VERB
cana-5424	9	4	that	that	SCONJ
cana-5424	9	5	adopting	adopt	VERB
cana-5424	9	6	a	a	DET
cana-5424	9	7	dual	dual	ADJ
cana-5424	9	8	-	-	PUNCT
cana-5424	9	9	channel	channel	NOUN
cana-5424	9	10	policy	policy	NOUN
cana-5424	9	11	leads	lead	VERB
cana-5424	9	12	to	to	ADP
cana-5424	9	13	better	well	ADJ
cana-5424	9	14	predictability	predictability	NOUN
cana-5424	9	15	and	and	CCONJ
cana-5424	9	16	performance	performance	NOUN
cana-5424	9	17	compared	compare	VERB
cana-5424	9	18	to	to	ADP
cana-5424	9	19	conventional	conventional	ADJ
cana-5424	9	20	single	single	ADJ
cana-5424	9	21	-	-	PUNCT
cana-5424	9	22	channel	channel	NOUN
cana-5424	9	23	systems	system	NOUN
cana-5424	9	24	.	.	PUNCT
cana-5424	10	1	additionally	additionally	ADV
cana-5424	10	2	,	,	PUNCT
cana-5424	10	3	customer	customer	NOUN
cana-5424	10	4	switching	switch	VERB
cana-5424	10	5	depends	depend	VERB
cana-5424	10	6	on	on	ADP
cana-5424	10	7	which	which	DET
cana-5424	10	8	channel	channel	NOUN
cana-5424	10	9	offers	offer	VERB
cana-5424	10	10	a	a	DET
cana-5424	10	11	lower	low	ADJ
cana-5424	10	12	price	price	NOUN
cana-5424	10	13	,	,	PUNCT
cana-5424	10	14	especially	especially	ADV
cana-5424	10	15	when	when	SCONJ
cana-5424	10	16	the	the	DET
cana-5424	10	17	price	price	NOUN
cana-5424	10	18	gap	gap	NOUN
cana-5424	10	19	surpasses	surpass	VERB
cana-5424	10	20	the	the	DET
cana-5424	10	21	threshold	threshold	NOUN
cana-5424	10	22	.	.	PUNCT
cana-5424	11	1	keywords	keyword	NOUN
cana-5424	11	2	:	:	PUNCT
cana-5424	11	3	supply	supply	NOUN
cana-5424	11	4	chain	chain	NOUN
cana-5424	11	5	management	management	NOUN
cana-5424	11	6	,	,	PUNCT
cana-5424	11	7	max	max	PROPN
cana-5424	11	8	-	-	PUNCT
cana-5424	11	9	min	min	NOUN
cana-5424	11	10	distribution	distribution	NOUN
cana-5424	11	11	-	-	PUNCT
cana-5424	11	12	free	free	ADJ
cana-5424	11	13	method	method	NOUN
cana-5424	11	14	,	,	PUNCT
cana-5424	11	15	dual	dual	ADJ
cana-5424	11	16	-	-	PUNCT
cana-5424	11	17	channel	channel	NOUN
cana-5424	11	18	retailing	retailing	NOUN
cana-5424	11	19	,	,	PUNCT
cana-5424	11	20	demand	demand	NOUN
cana-5424	11	21	uncertainty	uncertainty	NOUN
cana-5424	11	22	,	,	PUNCT
cana-5424	11	23	customization	customization	NOUN
cana-5424	11	24	,	,	PUNCT
cana-5424	11	25	sdg-12	sdg-12	NOUN
cana-5424	11	26	1	1	NUM
cana-5424	11	27	.	.	PUNCT
cana-5424	12	1	introduction	introduction	NOUN
cana-5424	12	2	the	the	DET
cana-5424	12	3	introduction	introduction	NOUN
cana-5424	12	4	of	of	ADP
cana-5424	12	5	technology	technology	NOUN
cana-5424	12	6	has	have	AUX
cana-5424	12	7	made	make	VERB
cana-5424	12	8	the	the	DET
cana-5424	12	9	retailing	retailing	NOUN
cana-5424	12	10	system	system	NOUN
cana-5424	12	11	more	more	ADV
cana-5424	12	12	organized	organized	ADJ
cana-5424	12	13	and	and	CCONJ
cana-5424	12	14	competitive	competitive	ADJ
cana-5424	12	15	.	.	PUNCT
cana-5424	13	1	e	e	X
cana-5424	13	2	-	-	NOUN
cana-5424	13	3	commerce	commerce	NOUN
cana-5424	13	4	is	be	AUX
cana-5424	13	5	increasing	increase	VERB
cana-5424	13	6	with	with	ADP
cana-5424	13	7	the	the	DET
cana-5424	13	8	advancement	advancement	NOUN
cana-5424	13	9	of	of	ADP
cana-5424	13	10	technology	technology	NOUN
cana-5424	13	11	.	.	PUNCT
cana-5424	14	1	the	the	DET
cana-5424	14	2	concept	concept	NOUN
cana-5424	14	3	of	of	ADP
cana-5424	14	4	smart	smart	ADJ
cana-5424	14	5	manufacturing	manufacturing	NOUN
cana-5424	14	6	is	be	AUX
cana-5424	14	7	evolving	evolve	VERB
cana-5424	14	8	from	from	ADP
cana-5424	14	9	simple	simple	ADJ
cana-5424	14	10	digitization	digitization	NOUN
cana-5424	14	11	and	and	CCONJ
cana-5424	14	12	utilizing	utilize	VERB
cana-5424	14	13	the	the	DET
cana-5424	14	14	data	datum	NOUN
cana-5424	14	15	collected	collect	VERB
cana-5424	14	16	from	from	ADP
cana-5424	14	17	the	the	DET
cana-5424	14	18	communications	communication	NOUN
cana-5424	14	19	on	on	ADP
cana-5424	14	20	applied	apply	VERB
cana-5424	14	21	nonlinear	nonlinear	ADJ
cana-5424	14	22	analysis	analysis	NOUN
cana-5424	14	23	issn	issn	NOUN
cana-5424	14	24	:	:	PUNCT
cana-5424	14	25	1074	1074	NUM
cana-5424	14	26	-	-	PUNCT
cana-5424	14	27	133x	133x	NUM
cana-5424	14	28	vol	vol	NOUN
cana-5424	14	29	32	32	NUM
cana-5424	14	30	no	no	NOUN
cana-5424	14	31	.	.	PUNCT
cana-5424	15	1	10s(2025	10s(2025	NUM
cana-5424	15	2	)	)	PUNCT
cana-5424	15	3	a	a	DET
cana-5424	15	4	dual	dual	ADJ
cana-5424	15	5	-	-	PUNCT
cana-5424	15	6	channel	channel	NOUN
cana-5424	15	7	supply	supply	NOUN
cana-5424	15	8	chain	chain	NOUN
cana-5424	15	9	model	model	NOUN
cana-5424	15	10	with	with	ADP
cana-5424	15	11	distribution	distribution	NOUN
cana-5424	15	12	-	-	PUNCT
cana-5424	15	13	free	free	ADJ
cana-5424	15	14	approach	approach	NOUN
cana-5424	15	15	using	use	VERB
cana-5424	15	16	customization	customization	NOUN
cana-5424	15	17	quazzafi	quazzafi	PROPN
cana-5424	15	18	rabbani1	rabbani1	PROPN
cana-5424	15	19	,	,	PUNCT
cana-5424	15	20	krishna	krishna	PROPN
cana-5424	15	21	kumar2	kumar2	PROPN
cana-5424	15	22	,	,	PUNCT
cana-5424	15	23	and	and	CCONJ
cana-5424	15	24	anjani	anjani	PROPN
cana-5424	15	25	kumar	kumar	PROPN
cana-5424	15	26	shukla3	shukla3	PROPN
cana-5424	16	1	1department	1department	NUM
cana-5424	16	2	of	of	ADP
cana-5424	16	3	mathematics	mathematics	PROPN
cana-5424	16	4	&	&	CCONJ
cana-5424	16	5	statistics	statistic	NOUN
cana-5424	16	6	,	,	PUNCT
cana-5424	16	7	integral	integral	ADJ
cana-5424	16	8	university	university	NOUN
cana-5424	16	9	lucknow	lucknow	NOUN
cana-5424	16	10	,	,	PUNCT
cana-5424	16	11	india	india	PROPN
cana-5424	16	12	2department	2department	PROPN
cana-5424	16	13	of	of	ADP
cana-5424	16	14	mathematics	mathematics	PROPN
cana-5424	16	15	&	&	CCONJ
cana-5424	16	16	statistics	statistic	NOUN
cana-5424	16	17	,	,	PUNCT
cana-5424	16	18	integral	integral	ADJ
cana-5424	16	19	university	university	NOUN
cana-5424	16	20	lucknow	lucknow	NOUN
cana-5424	16	21	,	,	PUNCT
cana-5424	16	22	india	india	PROPN
cana-5424	16	23	3dept	3dept	PROPN
cana-5424	16	24	.	.	PROPN
cana-5424	16	25	of	of	ADP
cana-5424	16	26	mathematics	mathematic	NOUN
cana-5424	16	27	,	,	PUNCT
cana-5424	16	28	lovely	lovely	ADJ
cana-5424	16	29	professional	professional	ADJ
cana-5424	16	30	university	university	NOUN
cana-5424	16	31	,	,	PUNCT
cana-5424	16	32	phagwara	phagwara	PROPN
cana-5424	16	33	,	,	PUNCT
cana-5424	16	34	jalandhar	jalandhar	PROPN
cana-5424	16	35	,	,	PUNCT
cana-5424	16	36	punjab	punjab	PROPN
cana-5424	16	37	,	,	PUNCT
cana-5424	16	38	india	india	PROPN
cana-5424	16	39	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	16	40	2232	2232	NUM
cana-5424	16	41	customers	customer	NOUN
cana-5424	16	42	to	to	PART
cana-5424	16	43	make	make	VERB
cana-5424	16	44	decisions	decision	NOUN
cana-5424	16	45	on	on	ADP
cana-5424	16	46	the	the	DET
cana-5424	16	47	products.sustainability	products.sustainability	NOUN
cana-5424	16	48	in	in	ADP
cana-5424	16	49	smart	smart	ADJ
cana-5424	16	50	supply	supply	NOUN
cana-5424	16	51	chain	chain	NOUN
cana-5424	16	52	management	management	NOUN
cana-5424	16	53	also	also	ADV
cana-5424	16	54	takes	take	VERB
cana-5424	16	55	into	into	ADP
cana-5424	16	56	account	account	NOUN
cana-5424	16	57	all	all	DET
cana-5424	16	58	three	three	NUM
cana-5424	16	59	pillars	pillar	NOUN
cana-5424	16	60	of	of	ADP
cana-5424	16	61	sustainability	sustainability	NOUN
cana-5424	16	62	like	like	ADP
cana-5424	16	63	environmental	environmental	ADJ
cana-5424	16	64	,	,	PUNCT
cana-5424	16	65	social	social	ADJ
cana-5424	16	66	,	,	PUNCT
cana-5424	16	67	and	and	CCONJ
cana-5424	16	68	economic	economic	ADJ
cana-5424	16	69	due	due	ADJ
cana-5424	16	70	to	to	ADP
cana-5424	16	71	inflexible	inflexible	ADJ
cana-5424	16	72	rules	rule	NOUN
cana-5424	16	73	and	and	CCONJ
cana-5424	16	74	regulations	regulation	NOUN
cana-5424	16	75	.	.	PUNCT
cana-5424	17	1	in	in	ADP
cana-5424	17	2	2023	2023	NUM
cana-5424	17	3	,	,	PUNCT
cana-5424	17	4	air	air	NOUN
cana-5424	17	5	pollution	pollution	NOUN
cana-5424	17	6	claimed	claim	VERB
cana-5424	17	7	approximately	approximately	ADV
cana-5424	17	8	7.1	7.1	NUM
cana-5424	17	9	million	million	NUM
cana-5424	17	10	deaths	death	NOUN
cana-5424	17	11	(	(	PUNCT
cana-5424	17	12	or	or	CCONJ
cana-5424	17	13	approximately	approximately	ADV
cana-5424	17	14	one	one	NUM
cana-5424	17	15	in	in	ADP
cana-5424	17	16	10	10	NUM
cana-5424	17	17	deaths	death	NOUN
cana-5424	17	18	)	)	PUNCT
cana-5424	17	19	globally	globally	ADV
cana-5424	17	20	,	,	PUNCT
cana-5424	17	21	consequently	consequently	ADV
cana-5424	17	22	,	,	PUNCT
cana-5424	17	23	declaring	declare	VERB
cana-5424	17	24	it	it	PRON
cana-5424	17	25	the	the	DET
cana-5424	17	26	fifth	fifth	ADJ
cana-5424	17	27	leading	lead	VERB
cana-5424	17	28	risk	risk	NOUN
cana-5424	17	29	factor	factor	NOUN
cana-5424	17	30	for	for	ADP
cana-5424	17	31	mortality	mortality	NOUN
cana-5424	17	32	according	accord	VERB
cana-5424	17	33	to	to	ADP
cana-5424	17	34	the	the	DET
cana-5424	17	35	state	state	NOUN
cana-5424	17	36	of	of	ADP
cana-5424	17	37	global	global	ADJ
cana-5424	17	38	air/2019	air/2019	NOUN
cana-5424	17	39	.	.	PUNCT
cana-5424	18	1	furthermore	furthermore	ADV
cana-5424	18	2	,	,	PUNCT
cana-5424	18	3	the	the	DET
cana-5424	18	4	report	report	NOUN
cana-5424	18	5	discovered	discover	VERB
cana-5424	18	6	that	that	SCONJ
cana-5424	18	7	air	air	NOUN
cana-5424	18	8	pollution	pollution	NOUN
cana-5424	18	9	claims	claim	VERB
cana-5424	18	10	more	more	ADJ
cana-5424	18	11	lives	life	NOUN
cana-5424	18	12	than	than	ADP
cana-5424	18	13	traffic	traffic	NOUN
cana-5424	18	14	accidents	accident	NOUN
cana-5424	18	15	or	or	CCONJ
cana-5424	18	16	malaria	malaria	NOUN
cana-5424	18	17	.	.	PUNCT
cana-5424	19	1	the	the	DET
cana-5424	19	2	ejection	ejection	NOUN
cana-5424	19	3	of	of	ADP
cana-5424	19	4	co2	co2	NOUN
cana-5424	19	5	from	from	ADP
cana-5424	19	6	firms	firm	NOUN
cana-5424	19	7	is	be	AUX
cana-5424	19	8	manifested	manifest	VERB
cana-5424	19	9	as	as	ADP
cana-5424	19	10	a	a	DET
cana-5424	19	11	rate	rate	NOUN
cana-5424	19	12	of	of	ADP
cana-5424	19	13	manufacturing	manufacturing	NOUN
cana-5424	19	14	,	,	PUNCT
cana-5424	19	15	speed	speed	NOUN
cana-5424	19	16	of	of	ADP
cana-5424	19	17	machinery	machinery	NOUN
cana-5424	19	18	,	,	PUNCT
cana-5424	19	19	and	and	CCONJ
cana-5424	19	20	consumption	consumption	NOUN
cana-5424	19	21	of	of	ADP
cana-5424	19	22	energy	energy	NOUN
cana-5424	19	23	function	function	NOUN
cana-5424	19	24	as	as	SCONJ
cana-5424	19	25	all	all	DET
cana-5424	19	26	these	these	PRON
cana-5424	19	27	contribute	contribute	VERB
cana-5424	19	28	to	to	ADP
cana-5424	19	29	the	the	DET
cana-5424	19	30	total	total	ADJ
cana-5424	19	31	greenhouse	greenhouse	NOUN
cana-5424	19	32	gases	gas	NOUN
cana-5424	19	33	(	(	PUNCT
cana-5424	19	34	bazan	bazan	PROPN
cana-5424	19	35	et	et	PROPN
cana-5424	19	36	al	al	PROPN
cana-5424	19	37	.	.	PROPN
cana-5424	19	38	,	,	PUNCT
cana-5424	19	39	2015	2015	NUM
cana-5424	19	40	)	)	PUNCT
cana-5424	19	41	.	.	PUNCT
cana-5424	20	1	moreover	moreover	ADV
cana-5424	20	2	,	,	PUNCT
cana-5424	20	3	government	government	NOUN
cana-5424	20	4	charges	charge	VERB
cana-5424	20	5	penalties	penalty	NOUN
cana-5424	20	6	to	to	ADP
cana-5424	20	7	the	the	DET
cana-5424	20	8	firms	firm	NOUN
cana-5424	20	9	once	once	SCONJ
cana-5424	20	10	they	they	PRON
cana-5424	20	11	cross	cross	VERB
cana-5424	20	12	the	the	DET
cana-5424	20	13	carbon	carbon	NOUN
cana-5424	20	14	emission	emission	NOUN
cana-5424	20	15	ceiling	ceiling	NOUN
cana-5424	20	16	.	.	PUNCT
cana-5424	21	1	the	the	DET
cana-5424	21	2	european	european	PROPN
cana-5424	21	3	union	union	PROPN
cana-5424	21	4	emission	emission	NOUN
cana-5424	21	5	trading	trading	NOUN
cana-5424	21	6	system	system	NOUN
cana-5424	21	7	(	(	PUNCT
cana-5424	21	8	eu	eu	NOUN
cana-5424	21	9	-	-	PUNCT
cana-5424	21	10	ets	et	NOUN
cana-5424	21	11	)	)	PUNCT
cana-5424	21	12	works	work	VERB
cana-5424	21	13	on	on	ADP
cana-5424	21	14	a	a	DET
cana-5424	21	15	capand	capand	ADJ
cana-5424	21	16	-	-	PUNCT
cana-5424	21	17	trade	trade	NOUN
cana-5424	21	18	policy	policy	NOUN
cana-5424	21	19	where	where	SCONJ
cana-5424	21	20	firms	firm	NOUN
cana-5424	21	21	are	be	AUX
cana-5424	21	22	penalized	penalize	VERB
cana-5424	21	23	if	if	SCONJ
cana-5424	21	24	they	they	PRON
cana-5424	21	25	cross	cross	VERB
cana-5424	21	26	the	the	DET
cana-5424	21	27	carbon	carbon	NOUN
cana-5424	21	28	emission	emission	NOUN
cana-5424	21	29	limit	limit	NOUN
cana-5424	21	30	.	.	PUNCT
cana-5424	22	1	if	if	SCONJ
cana-5424	22	2	emissions	emission	NOUN
cana-5424	22	3	are	be	AUX
cana-5424	22	4	less	less	ADJ
cana-5424	22	5	than	than	SCONJ
cana-5424	22	6	the	the	DET
cana-5424	22	7	limit	limit	NOUN
cana-5424	22	8	firms	firm	NOUN
cana-5424	22	9	can	can	AUX
cana-5424	22	10	trade	trade	VERB
cana-5424	22	11	with	with	ADP
cana-5424	22	12	another	another	DET
cana-5424	22	13	firm	firm	NOUN
cana-5424	22	14	that	that	PRON
cana-5424	22	15	surpasses	surpass	VERB
cana-5424	22	16	the	the	DET
cana-5424	22	17	limit	limit	NOUN
cana-5424	22	18	.	.	PUNCT
cana-5424	23	1	thus	thus	ADV
cana-5424	23	2	,	,	PUNCT
cana-5424	23	3	many	many	ADJ
cana-5424	23	4	organizations	organization	NOUN
cana-5424	23	5	are	be	AUX
cana-5424	23	6	emphasizing	emphasize	VERB
cana-5424	23	7	on	on	ADP
cana-5424	23	8	reducing	reduce	VERB
cana-5424	23	9	greenhouse	greenhouse	NOUN
cana-5424	23	10	gas	gas	NOUN
cana-5424	23	11	emissions	emission	NOUN
cana-5424	23	12	by	by	ADP
cana-5424	23	13	investing	invest	VERB
cana-5424	23	14	in	in	ADP
cana-5424	23	15	green	green	ADJ
cana-5424	23	16	technologies	technology	NOUN
cana-5424	23	17	(	(	PUNCT
cana-5424	23	18	reddy	reddy	PROPN
cana-5424	23	19	et	et	PROPN
cana-5424	23	20	al	al	PROPN
cana-5424	23	21	.	.	PROPN
cana-5424	23	22	,	,	PUNCT
cana-5424	23	23	2020	2020	NUM
cana-5424	23	24	)	)	PUNCT
cana-5424	23	25	.	.	PUNCT
cana-5424	24	1	by	by	ADP
cana-5424	24	2	prioritizing	prioritize	VERB
cana-5424	24	3	sustainability	sustainability	NOUN
cana-5424	24	4	,	,	PUNCT
cana-5424	24	5	the	the	DET
cana-5424	24	6	company	company	NOUN
cana-5424	24	7	is	be	AUX
cana-5424	24	8	committed	commit	VERB
cana-5424	24	9	to	to	ADP
cana-5424	24	10	driving	drive	VERB
cana-5424	24	11	positive	positive	ADJ
cana-5424	24	12	change	change	NOUN
cana-5424	24	13	in	in	ADP
cana-5424	24	14	the	the	DET
cana-5424	24	15	industry	industry	NOUN
cana-5424	24	16	and	and	CCONJ
cana-5424	24	17	making	make	VERB
cana-5424	24	18	substantial	substantial	ADJ
cana-5424	24	19	contributions	contribution	NOUN
cana-5424	24	20	to	to	ADP
cana-5424	24	21	the	the	DET
cana-5424	24	22	global	global	ADJ
cana-5424	24	23	effort	effort	NOUN
cana-5424	24	24	to	to	PART
cana-5424	24	25	combat	combat	VERB
cana-5424	24	26	climate	climate	NOUN
cana-5424	24	27	change	change	NOUN
cana-5424	24	28	.	.	PUNCT
cana-5424	25	1	also	also	ADV
cana-5424	25	2	,	,	PUNCT
cana-5424	25	3	a	a	DET
cana-5424	25	4	sustainable	sustainable	ADJ
cana-5424	25	5	model	model	NOUN
cana-5424	25	6	is	be	AUX
cana-5424	25	7	exemplified	exemplify	VERB
cana-5424	25	8	by	by	ADP
cana-5424	25	9	including	include	VERB
cana-5424	25	10	out	out	ADV
cana-5424	25	11	-	-	PUNCT
cana-5424	25	12	of	of	ADP
cana-5424	25	13	-	-	PUNCT
cana-5424	25	14	order	order	NOUN
cana-5424	25	15	products	product	NOUN
cana-5424	25	16	and	and	CCONJ
cana-5424	25	17	manageable	manageable	ADJ
cana-5424	25	18	co2	co2	NOUN
cana-5424	25	19	emissions	emission	NOUN
cana-5424	25	20	from	from	ADP
cana-5424	25	21	the	the	DET
cana-5424	25	22	firm	firm	NOUN
cana-5424	25	23	(	(	PUNCT
cana-5424	25	24	mashud	mashud	PROPN
cana-5424	25	25	et	et	PROPN
cana-5424	25	26	al	al	PROPN
cana-5424	25	27	.	.	PROPN
cana-5424	25	28	,	,	PUNCT
cana-5424	25	29	2020	2020	NUM
cana-5424	25	30	)	)	PUNCT
cana-5424	25	31	.	.	PUNCT
cana-5424	26	1	a	a	DET
cana-5424	26	2	supply	supply	NOUN
cana-5424	26	3	chain	chain	NOUN
cana-5424	26	4	model	model	NOUN
cana-5424	26	5	is	be	AUX
cana-5424	26	6	all	all	ADV
cana-5424	26	7	about	about	ADP
cana-5424	26	8	handling	handle	VERB
cana-5424	26	9	the	the	DET
cana-5424	26	10	complete	complete	ADJ
cana-5424	26	11	manufacturing	manufacturing	NOUN
cana-5424	26	12	of	of	ADP
cana-5424	26	13	items	item	NOUN
cana-5424	26	14	from	from	ADP
cana-5424	26	15	raw	raw	ADJ
cana-5424	26	16	materials	material	NOUN
cana-5424	26	17	to	to	ADP
cana-5424	26	18	the	the	DET
cana-5424	26	19	final	final	ADJ
cana-5424	26	20	product	product	NOUN
cana-5424	26	21	.	.	PUNCT
cana-5424	27	1	table	table	NOUN
cana-5424	27	2	1	1	NUM
cana-5424	27	3	:	:	PUNCT
cana-5424	27	4	overview	overview	NOUN
cana-5424	27	5	of	of	ADP
cana-5424	27	6	related	related	ADJ
cana-5424	27	7	literature	literature	NOUN
cana-5424	27	8	author	author	NOUN
cana-5424	27	9	dcsc	dcsc	VERB
cana-5424	27	10	sp	sp	ADP
cana-5424	27	11	cp	cp	PROPN
cana-5424	27	12	ucs	ucs	PROPN
cana-5424	27	13	ssmd	ssmd	PROPN
cana-5424	27	14	mto	mto	PROPN
cana-5424	27	15	du	du	PROPN
cana-5424	27	16	dfa	dfa	PROPN
cana-5424	27	17	clt	clt	PROPN
cana-5424	27	18	mm	mm	PROPN
cana-5424	28	1	takahashi	takahashi	PROPN
cana-5424	28	2	et	et	PROPN
cana-5424	28	3	al	al	PROPN
cana-5424	28	4	.	.	PROPN
cana-5424	28	5	✓	✓	ADJ
cana-5424	28	6	✓	✓	ADJ
cana-5424	28	7	zhang	zhang	PROPN
cana-5424	28	8	and	and	CCONJ
cana-5424	28	9	choi	choi	PROPN
cana-5424	28	10	✓	✓	ADJ
cana-5424	28	11	✓	✓	ADJ
cana-5424	28	12	chiang	chiang	PROPN
cana-5424	28	13	and	and	CCONJ
cana-5424	28	14	monahan	monahan	PROPN
cana-5424	28	15	✓	✓	ADJ
cana-5424	28	16	✓	✓	ADJ
cana-5424	28	17	shao	shao	PROPN
cana-5424	28	18	✓	✓	ADJ
cana-5424	28	19	✓	✓	ADJ
cana-5424	28	20	✓	✓	ADJ
cana-5424	28	21	batarfi	batarfi	NOUN
cana-5424	28	22	et	et	PROPN
cana-5424	28	23	al	al	PROPN
cana-5424	28	24	.	.	PROPN
cana-5424	29	1	✓	✓	ADJ
cana-5424	29	2	✓	✓	ADJ
cana-5424	29	3	✓	✓	ADJ
cana-5424	29	4	✓	✓	ADJ
cana-5424	29	5	yue	yue	NOUN
cana-5424	29	6	and	and	CCONJ
cana-5424	29	7	liu	liu	PROPN
cana-5424	29	8	✓	✓	ADJ
cana-5424	29	9	✓	✓	ADJ
cana-5424	29	10	✓	✓	ADJ
cana-5424	29	11	yan	yan	PROPN
cana-5424	29	12	and	and	CCONJ
cana-5424	29	13	pei	pei	PROPN
cana-5424	29	14	✓	✓	ADJ
cana-5424	30	1	✓	✓	ADJ
cana-5424	30	2	✓	✓	ADJ
cana-5424	30	3	sarkar	sarkar	NOUN
cana-5424	30	4	et	et	PROPN
cana-5424	30	5	al	al	PROPN
cana-5424	30	6	.	.	PROPN
cana-5424	30	7	✓	✓	PROPN
cana-5424	30	8	chiang	chiang	PROPN
cana-5424	30	9	et	et	PROPN
cana-5424	30	10	al	al	PROPN
cana-5424	30	11	.	.	PROPN
cana-5424	30	12	✓	✓	PROPN
cana-5424	30	13	✓	✓	ADJ
cana-5424	30	14	dan	dan	PROPN
cana-5424	30	15	et	et	PROPN
cana-5424	30	16	al	al	PROPN
cana-5424	30	17	.	.	PROPN
cana-5424	30	18	✓	✓	PROPN
cana-5424	30	19	✓	✓	ADJ
cana-5424	30	20	hua	hua	PROPN
cana-5424	30	21	et	et	PROPN
cana-5424	30	22	al	al	PROPN
cana-5424	30	23	.	.	PROPN
cana-5424	31	1	✓	✓	ADJ
cana-5424	31	2	✓	✓	ADJ
cana-5424	31	3	✓	✓	ADJ
cana-5424	31	4	majumder	majumder	NOUN
cana-5424	31	5	et	et	PROPN
cana-5424	31	6	al	al	PROPN
cana-5424	31	7	.	.	PROPN
cana-5424	31	8	✓	✓	PROPN
cana-5424	31	9	kaya	kaya	PROPN
cana-5424	31	10	et	et	PROPN
cana-5424	31	11	al	al	PROPN
cana-5424	31	12	.	.	PROPN
cana-5424	31	13	✓	✓	ADJ
cana-5424	31	14	✓	✓	ADJ
cana-5424	31	15	✓	✓	ADJ
cana-5424	31	16	tsay	tsay	NOUN
cana-5424	31	17	and	and	CCONJ
cana-5424	31	18	agrawal	agrawal	PROPN
cana-5424	31	19	✓	✓	ADJ
cana-5424	31	20	✓	✓	ADJ
cana-5424	31	21	modak	modak	NOUN
cana-5424	31	22	and	and	CCONJ
cana-5424	31	23	kelle	kelle	PROPN
cana-5424	31	24	✓	✓	PROPN
cana-5424	31	25	✓	✓	ADJ
cana-5424	31	26	li	li	PROPN
cana-5424	31	27	et	et	PROPN
cana-5424	31	28	al	al	PROPN
cana-5424	31	29	.	.	PROPN
cana-5424	31	30	✓	✓	ADJ
cana-5424	31	31	✓	✓	ADJ
cana-5424	31	32	✓	✓	ADJ
cana-5424	31	33	jing	jing	NOUN
cana-5424	31	34	et	et	PROPN
cana-5424	31	35	al	al	PROPN
cana-5424	31	36	.	.	PROPN
cana-5424	32	1	✓	✓	ADJ
cana-5424	32	2	✓	✓	ADJ
cana-5424	32	3	✓	✓	ADJ
cana-5424	32	4	zhou	zhou	X
cana-5424	32	5	et	et	PROPN
cana-5424	32	6	al	al	PROPN
cana-5424	32	7	.	.	PROPN
cana-5424	32	8	✓	✓	ADJ
cana-5424	32	9	✓	✓	ADJ
cana-5424	32	10	majumder	majumder	NOUN
cana-5424	32	11	et	et	PROPN
cana-5424	32	12	al	al	PROPN
cana-5424	32	13	.	.	PROPN
cana-5424	32	14	✓	✓	PROPN
cana-5424	32	15	proposed	propose	VERB
cana-5424	32	16	paper	paper	NOUN
cana-5424	32	17	✓	✓	ADJ
cana-5424	32	18	✓	✓	ADJ
cana-5424	32	19	✓	✓	ADJ
cana-5424	32	20	✓	✓	ADJ
cana-5424	32	21	✓	✓	ADJ
cana-5424	32	22	✓	✓	ADJ
cana-5424	32	23	✓	✓	ADJ
cana-5424	32	24	✓	✓	ADJ
cana-5424	32	25	✓	✓	ADJ
cana-5424	32	26	✓	✓	ADJ
cana-5424	32	27	abbreviations	abbreviation	NOUN
cana-5424	32	28	:	:	PUNCT
cana-5424	32	29	dcsc	dcsc	VERB
cana-5424	32	30	:	:	PUNCT
cana-5424	32	31	dual	dual	ADJ
cana-5424	32	32	-	-	PUNCT
cana-5424	32	33	channel	channel	NOUN
cana-5424	32	34	supply	supply	NOUN
cana-5424	32	35	chain	chain	NOUN
cana-5424	32	36	;	;	PUNCT
cana-5424	32	37	sp	sp	NOUN
cana-5424	32	38	:	:	PUNCT
cana-5424	32	39	standard	standard	ADJ
cana-5424	32	40	product	product	NOUN
cana-5424	32	41	;	;	PUNCT
cana-5424	32	42	cp	cp	PROPN
cana-5424	32	43	:	:	PUNCT
cana-5424	32	44	customized	customize	VERB
cana-5424	32	45	product	product	NOUN
cana-5424	32	46	;	;	PUNCT
cana-5424	32	47	ucs	ucs	NOUN
cana-5424	32	48	:	:	PUNCT
cana-5424	32	49	unequal	unequal	ADJ
cana-5424	32	50	customer	customer	NOUN
cana-5424	32	51	shifting	shift	VERB
cana-5424	32	52	(	(	PUNCT
cana-5424	32	53	online	online	ADJ
cana-5424	32	54	/	/	SYM
cana-5424	32	55	offline	offline	NOUN
cana-5424	32	56	)	)	PUNCT
cana-5424	32	57	;	;	PUNCT
cana-5424	32	58	mto	mto	PROPN
cana-5424	32	59	:	:	PUNCT
cana-5424	32	60	make	make	VERB
cana-5424	32	61	-	-	PUNCT
cana-5424	32	62	to	to	ADP
cana-5424	32	63	-	-	PUNCT
cana-5424	32	64	order	order	NOUN
cana-5424	32	65	;	;	PUNCT
cana-5424	32	66	du	du	NOUN
cana-5424	32	67	:	:	PUNCT
cana-5424	32	68	demand	demand	VERB
cana-5424	32	69	uncertainty	uncertainty	NOUN
cana-5424	32	70	;	;	PUNCT
cana-5424	32	71	dfa	dfa	NOUN
cana-5424	32	72	:	:	PUNCT
cana-5424	32	73	distribution	distribution	NOUN
cana-5424	32	74	-	-	PUNCT
cana-5424	32	75	free	free	ADJ
cana-5424	32	76	approach	approach	NOUN
cana-5424	32	77	;	;	PUNCT
cana-5424	32	78	clt	clt	NOUN
cana-5424	32	79	:	:	PUNCT
cana-5424	32	80	controllable	controllable	ADJ
cana-5424	32	81	lead	lead	NOUN
cana-5424	32	82	time	time	NOUN
cana-5424	32	83	;	;	PUNCT
cana-5424	32	84	mm	mm	NOUN
cana-5424	32	85	:	:	PUNCT
cana-5424	32	86	markup	markup	ADJ
cana-5424	32	87	margin	margin	NOUN
cana-5424	32	88	.	.	PUNCT
cana-5424	33	1	communications	communication	NOUN
cana-5424	33	2	on	on	ADP
cana-5424	33	3	applied	apply	VERB
cana-5424	33	4	nonlinear	nonlinear	ADJ
cana-5424	33	5	analysis	analysis	NOUN
cana-5424	33	6	issn	issn	NOUN
cana-5424	33	7	:	:	PUNCT
cana-5424	33	8	1074	1074	NUM
cana-5424	33	9	-	-	PUNCT
cana-5424	33	10	133x	133x	NUM
cana-5424	33	11	vol	vol	NOUN
cana-5424	33	12	32	32	NUM
cana-5424	33	13	no	no	NOUN
cana-5424	33	14	.	.	PUNCT
cana-5424	34	1	10s(2025	10s(2025	NUM
cana-5424	34	2	)	)	PUNCT
cana-5424	34	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	34	4	2233	2233	NUM
cana-5424	34	5	table	table	NOUN
cana-5424	34	6	2	2	NUM
cana-5424	34	7	:	:	PUNCT
cana-5424	34	8	key	key	ADJ
cana-5424	34	9	decision	decision	NOUN
cana-5424	34	10	variables	variable	NOUN
cana-5424	34	11	in	in	ADP
cana-5424	34	12	the	the	DET
cana-5424	34	13	model	model	NOUN
cana-5424	34	14	decision	decision	NOUN
cana-5424	34	15	variable	variable	ADJ
cana-5424	34	16	description	description	NOUN
cana-5424	34	17	qd	qd	ADP
cana-5424	34	18	quantity	quantity	NOUN
cana-5424	34	19	of	of	ADP
cana-5424	34	20	core	core	NOUN
cana-5424	34	21	products	product	NOUN
cana-5424	34	22	ordered	order	VERB
cana-5424	34	23	for	for	ADP
cana-5424	34	24	customization	customization	NOUN
cana-5424	34	25	(	(	PUNCT
cana-5424	34	26	units	unit	NOUN
cana-5424	34	27	)	)	PUNCT
cana-5424	34	28	k	k	PROPN
cana-5424	34	29	safety	safety	NOUN
cana-5424	34	30	factor	factor	NOUN
cana-5424	34	31	(	(	PUNCT
cana-5424	34	32	units	unit	NOUN
cana-5424	34	33	)	)	PUNCT
cana-5424	34	34	to	to	PART
cana-5424	34	35	account	account	VERB
cana-5424	34	36	for	for	ADP
cana-5424	34	37	demand	demand	NOUN
cana-5424	34	38	variability	variability	NOUN
cana-5424	34	39	l	l	NOUN
cana-5424	34	40	retailer	retailer	NOUN
cana-5424	34	41	’s	’s	PART
cana-5424	34	42	lead	lead	ADJ
cana-5424	34	43	time	time	NOUN
cana-5424	34	44	(	(	PUNCT
cana-5424	34	45	days	day	NOUN
cana-5424	34	46	)	)	PUNCT
cana-5424	34	47	qr	qr	VERB
cana-5424	34	48	quantity	quantity	NOUN
cana-5424	34	49	of	of	ADP
cana-5424	34	50	standard	standard	ADJ
cana-5424	34	51	products	product	NOUN
cana-5424	34	52	ordered	order	VERB
cana-5424	34	53	by	by	ADP
cana-5424	34	54	the	the	DET
cana-5424	34	55	retailer	retailer	NOUN
cana-5424	34	56	(	(	PUNCT
cana-5424	34	57	units	unit	NOUN
cana-5424	34	58	)	)	PUNCT
cana-5424	34	59	n	n	PRON
cana-5424	34	60	number	number	NOUN
cana-5424	34	61	of	of	ADP
cana-5424	34	62	batches	batch	NOUN
cana-5424	34	63	delivered	deliver	VERB
cana-5424	34	64	from	from	ADP
cana-5424	34	65	the	the	DET
cana-5424	34	66	manufacturer	manufacturer	NOUN
cana-5424	34	67	to	to	ADP
cana-5424	34	68	the	the	DET
cana-5424	34	69	retailer	retailer	NOUN
cana-5424	34	70	in	in	ADP
cana-5424	34	71	one	one	NUM
cana-5424	34	72	production	production	NOUN
cana-5424	34	73	cycle	cycle	NOUN
cana-5424	34	74	(	(	PUNCT
cana-5424	34	75	positive	positive	ADJ
cana-5424	34	76	integer	integer	NOUN
cana-5424	34	77	)	)	PUNCT
cana-5424	34	78	table	table	NOUN
cana-5424	34	79	3	3	NUM
cana-5424	34	80	:	:	PUNCT
cana-5424	34	81	parameters	parameter	NOUN
cana-5424	34	82	of	of	ADP
cana-5424	34	83	the	the	DET
cana-5424	34	84	model	model	NOUN
cana-5424	34	85	.	.	PUNCT
cana-5424	35	1	parameters	parameter	NOUN
cana-5424	35	2	description	description	NOUN
cana-5424	35	3	pr	pr	NOUN
cana-5424	35	4	production	production	NOUN
cana-5424	35	5	rate	rate	NOUN
cana-5424	35	6	for	for	ADP
cana-5424	35	7	the	the	DET
cana-5424	35	8	standard	standard	ADJ
cana-5424	35	9	product	product	NOUN
cana-5424	35	10	(	(	PUNCT
cana-5424	35	11	pr	pr	X
cana-5424	35	12	>	>	X
cana-5424	35	13	a1	a1	NOUN
cana-5424	35	14	)	)	PUNCT
cana-5424	35	15	(	(	PUNCT
cana-5424	35	16	positive	positive	ADJ
cana-5424	35	17	number	number	NOUN
cana-5424	35	18	)	)	PUNCT
cana-5424	35	19	β1	β1	NOUN
cana-5424	35	20	price	price	NOUN
cana-5424	35	21	sensitivity	sensitivity	NOUN
cana-5424	35	22	in	in	ADP
cana-5424	35	23	retail	retail	ADJ
cana-5424	35	24	channel	channel	NOUN
cana-5424	35	25	(	(	PUNCT
cana-5424	35	26	customer	customer	NOUN
cana-5424	35	27	/	/	SYM
cana-5424	35	28	day	day	NOUN
cana-5424	35	29	)	)	PUNCT
cana-5424	35	30	β2	β2	NOUN
cana-5424	35	31	price	price	NOUN
cana-5424	35	32	sensitivity	sensitivity	NOUN
cana-5424	35	33	in	in	ADP
cana-5424	35	34	online	online	ADJ
cana-5424	35	35	channel	channel	NOUN
cana-5424	35	36	(	(	PUNCT
cana-5424	35	37	customer	customer	NOUN
cana-5424	35	38	/	/	SYM
cana-5424	35	39	day	day	NOUN
cana-5424	35	40	)	)	PUNCT
cana-5424	35	41	δ1	δ1	NOUN
cana-5424	35	42	number	number	NOUN
cana-5424	35	43	of	of	ADP
cana-5424	35	44	customers	customer	NOUN
cana-5424	35	45	switching	switch	VERB
cana-5424	35	46	from	from	ADP
cana-5424	35	47	retail	retail	ADJ
cana-5424	35	48	channel	channel	NOUN
cana-5424	35	49	to	to	ADP
cana-5424	35	50	online	online	ADJ
cana-5424	35	51	channel	channel	PROPN
cana-5424	35	52	a2	a2	PROPN
cana-5424	35	53	number	number	NOUN
cana-5424	35	54	of	of	ADP
cana-5424	35	55	customers	customer	NOUN
cana-5424	35	56	prefer	prefer	VERB
cana-5424	35	57	online	online	ADJ
cana-5424	35	58	channel	channel	PROPN
cana-5424	35	59	σ	σ	PROPN
cana-5424	35	60	standard	standard	ADJ
cana-5424	35	61	deviation	deviation	NOUN
cana-5424	35	62	of	of	ADP
cana-5424	35	63	demand	demand	NOUN
cana-5424	35	64	per	per	ADP
cana-5424	35	65	unit	unit	NOUN
cana-5424	35	66	time	time	NOUN
cana-5424	35	67	cp	cp	PROPN
cana-5424	35	68	production	production	NOUN
cana-5424	35	69	cost	cost	NOUN
cana-5424	35	70	for	for	ADP
cana-5424	35	71	standard	standard	ADJ
cana-5424	35	72	product	product	NOUN
cana-5424	35	73	(	(	PUNCT
cana-5424	35	74	$	$	SYM
cana-5424	35	75	/unit	/unit	NUM
cana-5424	35	76	)	)	PUNCT
cana-5424	35	77	δ2	δ2	ADJ
cana-5424	35	78	number	number	NOUN
cana-5424	35	79	of	of	ADP
cana-5424	35	80	customers	customer	NOUN
cana-5424	35	81	switching	switch	VERB
cana-5424	35	82	from	from	ADP
cana-5424	35	83	online	online	ADJ
cana-5424	35	84	channel	channel	NOUN
cana-5424	35	85	to	to	ADP
cana-5424	35	86	retail	retail	ADJ
cana-5424	35	87	channel	channel	NOUN
cana-5424	35	88	dr	dr	PROPN
cana-5424	35	89	variable	variable	ADJ
cana-5424	35	90	demand	demand	NOUN
cana-5424	35	91	of	of	ADP
cana-5424	35	92	retail	retail	ADJ
cana-5424	35	93	channel	channel	NOUN
cana-5424	35	94	(	(	PUNCT
cana-5424	35	95	units	unit	NOUN
cana-5424	35	96	/	/	SYM
cana-5424	35	97	year	year	NOUN
cana-5424	35	98	)	)	PUNCT
cana-5424	36	1	π	π	PROPN
cana-5424	36	2	unit	unit	NOUN
cana-5424	36	3	backlogging	backlogge	VERB
cana-5424	36	4	cost	cost	NOUN
cana-5424	36	5	for	for	ADP
cana-5424	36	6	the	the	DET
cana-5424	36	7	retailer	retailer	NOUN
cana-5424	36	8	(	(	PUNCT
cana-5424	36	9	$	$	SYM
cana-5424	36	10	/unit	/unit	NUM
cana-5424	36	11	)	)	PUNCT
cana-5424	36	12	pr	pr	NOUN
cana-5424	36	13	retailer	retailer	NOUN
cana-5424	36	14	’s	’s	PART
cana-5424	36	15	selling	sell	VERB
cana-5424	36	16	price	price	NOUN
cana-5424	36	17	of	of	ADP
cana-5424	36	18	the	the	DET
cana-5424	36	19	standard	standard	ADJ
cana-5424	36	20	product	product	NOUN
cana-5424	36	21	(	(	PUNCT
cana-5424	36	22	pr	pr	X
cana-5424	36	23	>	>	X
cana-5424	36	24	cp	cp	NOUN
cana-5424	36	25	)	)	PUNCT
cana-5424	36	26	(	(	PUNCT
cana-5424	36	27	$	$	SYM
cana-5424	36	28	/order	/order	NOUN
cana-5424	36	29	)	)	PUNCT
cana-5424	36	30	dd	dd	VERB
cana-5424	36	31	variable	variable	ADJ
cana-5424	36	32	demand	demand	NOUN
cana-5424	36	33	of	of	ADP
cana-5424	36	34	online	online	ADJ
cana-5424	36	35	channel	channel	NOUN
cana-5424	36	36	(	(	PUNCT
cana-5424	36	37	units	unit	NOUN
cana-5424	36	38	/	/	SYM
cana-5424	36	39	year	year	NOUN
cana-5424	36	40	)	)	PUNCT
cana-5424	36	41	ϕdi	ϕdi	NOUN
cana-5424	36	42	percentage	percentage	NOUN
cana-5424	36	43	of	of	ADP
cana-5424	36	44	core	core	NOUN
cana-5424	36	45	product	product	NOUN
cana-5424	36	46	stock	stock	NOUN
cana-5424	36	47	used	use	VERB
cana-5424	36	48	for	for	ADP
cana-5424	36	49	customized	customized	ADJ
cana-5424	36	50	product	product	NOUN
cana-5424	36	51	(	(	PUNCT
cana-5424	36	52	i	i	NOUN
cana-5424	36	53	=	=	NOUN
cana-5424	36	54	1	1	NUM
cana-5424	36	55	,	,	PUNCT
cana-5424	36	56	2	2	NUM
cana-5424	36	57	,	,	PUNCT
cana-5424	36	58	.	.	PUNCT
cana-5424	36	59	.	.	PUNCT
cana-5424	37	1	.	.	PUNCT
cana-5424	38	1	,	,	PUNCT
cana-5424	38	2	n	n	CCONJ
cana-5424	38	3	)	)	PUNCT
cana-5424	38	4	h1	h1	PROPN
cana-5424	38	5	manufacturer	manufacturer	NOUN
cana-5424	38	6	’s	’s	PART
cana-5424	38	7	holding	hold	VERB
cana-5424	38	8	cost	cost	NOUN
cana-5424	38	9	including	include	VERB
cana-5424	38	10	financial	financial	ADJ
cana-5424	38	11	and	and	CCONJ
cana-5424	38	12	storage	storage	NOUN
cana-5424	38	13	cost	cost	NOUN
cana-5424	38	14	(	(	PUNCT
cana-5424	38	15	$	$	SYM
cana-5424	38	16	/unit	/unit	NUM
cana-5424	38	17	)	)	PUNCT
cana-5424	38	18	ar	ar	NOUN
cana-5424	38	19	ordering	order	VERB
cana-5424	38	20	cost	cost	NOUN
cana-5424	38	21	of	of	ADP
cana-5424	38	22	the	the	DET
cana-5424	38	23	retailer	retailer	NOUN
cana-5424	38	24	per	per	ADP
cana-5424	38	25	order	order	NOUN
cana-5424	38	26	(	(	PUNCT
cana-5424	38	27	$	$	SYM
cana-5424	38	28	/order	/order	NUM
cana-5424	38	29	)	)	PUNCT
cana-5424	38	30	m	m	VERB
cana-5424	38	31	markup	markup	VERB
cana-5424	38	32	margin	margin	NOUN
cana-5424	38	33	(	(	PUNCT
cana-5424	38	34	percentage	percentage	NOUN
cana-5424	38	35	)	)	PUNCT
cana-5424	38	36	cdi	cdi	NOUN
cana-5424	38	37	production	production	NOUN
cana-5424	38	38	cost	cost	NOUN
cana-5424	38	39	for	for	ADP
cana-5424	38	40	customized	customized	ADJ
cana-5424	38	41	product	product	NOUN
cana-5424	38	42	(	(	PUNCT
cana-5424	38	43	i	i	NOUN
cana-5424	38	44	=	=	NOUN
cana-5424	38	45	1	1	NUM
cana-5424	38	46	,	,	PUNCT
cana-5424	38	47	2	2	NUM
cana-5424	38	48	,	,	PUNCT
cana-5424	38	49	.	.	PUNCT
cana-5424	38	50	.	.	PUNCT
cana-5424	39	1	.	.	PUNCT
cana-5424	40	1	,	,	PUNCT
cana-5424	40	2	n	n	X
cana-5424	40	3	)	)	PUNCT
cana-5424	40	4	(	(	PUNCT
cana-5424	40	5	$	$	SYM
cana-5424	40	6	/unit	/unit	NUM
cana-5424	40	7	)	)	PUNCT
cana-5424	40	8	pdi	pdi	NOUN
cana-5424	40	9	manufacturer	manufacturer	NOUN
cana-5424	40	10	’s	’s	PART
cana-5424	40	11	selling	selling	NOUN
cana-5424	40	12	price	price	NOUN
cana-5424	40	13	of	of	ADP
cana-5424	40	14	customized	customized	ADJ
cana-5424	40	15	product	product	NOUN
cana-5424	40	16	i	i	PRON
cana-5424	40	17	(	(	PUNCT
cana-5424	40	18	$	$	SYM
cana-5424	40	19	/order	/order	NUM
cana-5424	40	20	)	)	PUNCT
cana-5424	41	1	rv	rv	PROPN
cana-5424	42	1	holding	hold	VERB
cana-5424	42	2	cost	cost	NOUN
cana-5424	42	3	rate	rate	NOUN
cana-5424	42	4	of	of	ADP
cana-5424	42	5	manufacturer	manufacturer	NOUN
cana-5424	42	6	(	(	PUNCT
cana-5424	42	7	$	$	SYM
cana-5424	42	8	/unit	/unit	ADJ
cana-5424	42	9	/	/	SYM
cana-5424	42	10	unit	unit	NOUN
cana-5424	42	11	time	time	NOUN
cana-5424	42	12	)	)	PUNCT
cana-5424	42	13	rb	rb	VERB
cana-5424	42	14	holding	hold	VERB
cana-5424	42	15	cost	cost	NOUN
cana-5424	42	16	rate	rate	NOUN
cana-5424	42	17	of	of	ADP
cana-5424	42	18	retailer	retailer	NOUN
cana-5424	42	19	(	(	PUNCT
cana-5424	42	20	$	$	SYM
cana-5424	42	21	/unit	/unit	ADJ
cana-5424	42	22	/	/	SYM
cana-5424	42	23	unit	unit	NOUN
cana-5424	42	24	time	time	NOUN
cana-5424	42	25	)	)	PUNCT
cana-5424	42	26	sd	sd	ADP
cana-5424	42	27	manufacturer	manufacturer	NOUN
cana-5424	42	28	’s	’s	PART
cana-5424	42	29	setup	setup	NOUN
cana-5424	42	30	cost	cost	NOUN
cana-5424	42	31	for	for	ADP
cana-5424	42	32	core	core	NOUN
cana-5424	42	33	product	product	NOUN
cana-5424	42	34	customized	customize	VERB
cana-5424	42	35	product	product	NOUN
cana-5424	42	36	(	(	PUNCT
cana-5424	42	37	$	$	SYM
cana-5424	42	38	/setup	/setup	PRON
cana-5424	42	39	)	)	PUNCT
cana-5424	42	40	sr	sr	PROPN
cana-5424	42	41	manufacturer	manufacturer	NOUN
cana-5424	42	42	’s	’s	PART
cana-5424	42	43	setup	setup	NOUN
cana-5424	42	44	cost	cost	NOUN
cana-5424	42	45	for	for	ADP
cana-5424	42	46	standard	standard	ADJ
cana-5424	42	47	product	product	NOUN
cana-5424	42	48	(	(	PUNCT
cana-5424	42	49	$	$	SYM
cana-5424	42	50	/setup	/setup	PRON
cana-5424	42	51	)	)	PUNCT
cana-5424	42	52	cb	cb	PROPN
cana-5424	42	53	unit	unit	PROPN
cana-5424	42	54	production	production	NOUN
cana-5424	42	55	cost	cost	NOUN
cana-5424	42	56	paid	pay	VERB
cana-5424	42	57	by	by	ADP
cana-5424	42	58	retailer	retailer	NOUN
cana-5424	42	59	(	(	PUNCT
cana-5424	42	60	$	$	SYM
cana-5424	42	61	/unit	/unit	NUM
cana-5424	42	62	)	)	PUNCT
cana-5424	42	63	cvr	cvr	NOUN
cana-5424	42	64	unit	unit	NOUN
cana-5424	42	65	production	production	NOUN
cana-5424	42	66	cost	cost	NOUN
cana-5424	42	67	paid	pay	VERB
cana-5424	42	68	by	by	ADP
cana-5424	42	69	manufacturer	manufacturer	NOUN
cana-5424	42	70	(	(	PUNCT
cana-5424	42	71	$	$	SYM
cana-5424	42	72	/unit	/unit	NUM
cana-5424	42	73	)	)	PUNCT
cana-5424	42	74	r	r	NOUN
cana-5424	42	75	reorder	reorder	NOUN
cana-5424	42	76	point	point	NOUN
cana-5424	42	77	of	of	ADP
cana-5424	42	78	the	the	DET
cana-5424	42	79	retailer	retailer	NOUN
cana-5424	42	80	(	(	PUNCT
cana-5424	42	81	units	unit	NOUN
cana-5424	42	82	)	)	PUNCT
cana-5424	42	83	s	s	VERB
cana-5424	42	84	safety	safety	NOUN
cana-5424	42	85	factor	factor	NOUN
cana-5424	42	86	of	of	ADP
cana-5424	42	87	the	the	DET
cana-5424	42	88	retailer	retailer	NOUN
cana-5424	42	89	(	(	PUNCT
cana-5424	42	90	units	unit	NOUN
cana-5424	42	91	)	)	PUNCT
cana-5424	42	92	e	e	NOUN
cana-5424	42	93	(	(	PUNCT
cana-5424	42	94	·	·	PUNCT
cana-5424	42	95	)	)	PUNCT
cana-5424	42	96	mathematical	mathematical	ADJ
cana-5424	42	97	expectation	expectation	NOUN
cana-5424	42	98	2	2	NUM
cana-5424	42	99	.	.	PUNCT
cana-5424	42	100	mathematical	mathematical	ADJ
cana-5424	42	101	model	model	NOUN
cana-5424	42	102	this	this	DET
cana-5424	42	103	part	part	NOUN
cana-5424	42	104	explains	explain	VERB
cana-5424	42	105	the	the	DET
cana-5424	42	106	retailing	retailing	NOUN
cana-5424	42	107	system	system	NOUN
cana-5424	42	108	’s	’s	PART
cana-5424	42	109	total	total	ADJ
cana-5424	42	110	cost	cost	NOUN
cana-5424	42	111	function	function	NOUN
cana-5424	42	112	,	,	PUNCT
cana-5424	42	113	optimal	optimal	ADJ
cana-5424	42	114	decisions	decision	NOUN
cana-5424	42	115	,	,	PUNCT
cana-5424	42	116	and	and	CCONJ
cana-5424	42	117	algorithm	algorithm	NOUN
cana-5424	42	118	for	for	ADP
cana-5424	42	119	evaluating	evaluate	VERB
cana-5424	42	120	the	the	DET
cana-5424	42	121	solution	solution	NOUN
cana-5424	42	122	of	of	ADP
cana-5424	42	123	this	this	DET
cana-5424	42	124	model	model	NOUN
cana-5424	42	125	.	.	PUNCT
cana-5424	43	1	2.1	2.1	NUM
cana-5424	43	2	.	.	PUNCT
cana-5424	43	3	formulation	formulation	NOUN
cana-5424	43	4	of	of	ADP
cana-5424	43	5	total	total	ADJ
cana-5424	43	6	cost	cost	NOUN
cana-5424	43	7	the	the	DET
cana-5424	43	8	equations	equation	NOUN
cana-5424	43	9	of	of	ADP
cana-5424	43	10	the	the	DET
cana-5424	43	11	total	total	ADJ
cana-5424	43	12	cost	cost	NOUN
cana-5424	43	13	of	of	ADP
cana-5424	43	14	manufacturer	manufacturer	NOUN
cana-5424	43	15	and	and	CCONJ
cana-5424	43	16	retailer	retailer	NOUN
cana-5424	43	17	for	for	ADP
cana-5424	43	18	core	core	NOUN
cana-5424	43	19	and	and	CCONJ
cana-5424	43	20	personalized	personalized	ADJ
cana-5424	43	21	items	item	NOUN
cana-5424	43	22	are	be	AUX
cana-5424	43	23	derived	derive	VERB
cana-5424	43	24	in	in	ADP
cana-5424	43	25	this	this	DET
cana-5424	43	26	segment	segment	NOUN
cana-5424	43	27	.	.	PUNCT
cana-5424	44	1	communications	communication	NOUN
cana-5424	44	2	on	on	ADP
cana-5424	44	3	applied	apply	VERB
cana-5424	44	4	nonlinear	nonlinear	ADJ
cana-5424	44	5	analysis	analysis	NOUN
cana-5424	44	6	issn	issn	NOUN
cana-5424	44	7	:	:	PUNCT
cana-5424	44	8	1074	1074	NUM
cana-5424	44	9	-	-	PUNCT
cana-5424	44	10	133x	133x	NUM
cana-5424	44	11	vol	vol	NOUN
cana-5424	44	12	32	32	NUM
cana-5424	44	13	no	no	NOUN
cana-5424	44	14	.	.	PUNCT
cana-5424	45	1	10s(2025	10s(2025	NUM
cana-5424	45	2	)	)	PUNCT
cana-5424	45	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	45	4	2234	2234	NUM
cana-5424	45	5	2.1.1	2.1.1	NUM
cana-5424	45	6	cost	cost	NOUN
cana-5424	45	7	parameter	parameter	NOUN
cana-5424	45	8	for	for	ADP
cana-5424	45	9	retailer	retailer	NOUN
cana-5424	45	10	the	the	DET
cana-5424	45	11	costs	cost	NOUN
cana-5424	45	12	associated	associate	VERB
cana-5424	45	13	with	with	ADP
cana-5424	45	14	the	the	DET
cana-5424	45	15	core	core	NOUN
cana-5424	45	16	item	item	NOUN
cana-5424	45	17	,	,	PUNCT
cana-5424	45	18	bore	bore	NOUN
cana-5424	45	19	by	by	ADP
cana-5424	45	20	the	the	DET
cana-5424	45	21	retailer	retailer	NOUN
cana-5424	45	22	are	be	AUX
cana-5424	45	23	given	give	VERB
cana-5424	45	24	as	as	SCONJ
cana-5424	45	25	follows	follow	VERB
cana-5424	45	26	.	.	PUNCT
cana-5424	46	1	ordering	order	VERB
cana-5424	46	2	cost	cost	VERB
cana-5424	46	3	the	the	DET
cana-5424	46	4	cost	cost	NOUN
cana-5424	46	5	bear	bear	NOUN
cana-5424	46	6	by	by	ADP
cana-5424	46	7	the	the	DET
cana-5424	46	8	retailer	retailer	NOUN
cana-5424	46	9	for	for	ADP
cana-5424	46	10	placing	place	VERB
cana-5424	46	11	an	an	DET
cana-5424	46	12	order	order	NOUN
cana-5424	46	13	is	be	AUX
cana-5424	46	14	given	give	VERB
cana-5424	46	15	as	as	ADP
cana-5424	46	16	oc1	oc1	NOUN
cana-5424	46	17	=	=	SYM
cana-5424	46	18	ord1	ord1	PROPN
cana-5424	46	19	q1	q1	PROPN
cana-5424	46	20	(	(	PUNCT
cana-5424	46	21	1	1	X
cana-5424	46	22	)	)	PUNCT
cana-5424	46	23	holding	hold	VERB
cana-5424	46	24	cost	cost	NOUN
cana-5424	46	25	retailer	retailer	NOUN
cana-5424	46	26	’s	’s	PART
cana-5424	46	27	inventory	inventory	NOUN
cana-5424	46	28	follows	follow	VERB
cana-5424	46	29	an	an	DET
cana-5424	46	30	“	"	PUNCT
cana-5424	46	31	economic	economic	ADJ
cana-5424	46	32	order	order	NOUN
cana-5424	46	33	quantity	quantity	NOUN
cana-5424	46	34	(	(	PUNCT
cana-5424	46	35	eoq	eoq	NOUN
cana-5424	46	36	)	)	PUNCT
cana-5424	46	37	”	"	PUNCT
cana-5424	46	38	model	model	NOUN
cana-5424	46	39	.	.	PUNCT
cana-5424	47	1	the	the	DET
cana-5424	47	2	retailer	retailer	NOUN
cana-5424	47	3	places	place	VERB
cana-5424	47	4	the	the	DET
cana-5424	47	5	order	order	NOUN
cana-5424	47	6	of	of	ADP
cana-5424	47	7	q1	q1	NOUN
cana-5424	47	8	quantity	quantity	NOUN
cana-5424	47	9	whenever	whenever	SCONJ
cana-5424	47	10	the	the	DET
cana-5424	47	11	inventory	inventory	NOUN
cana-5424	47	12	measure	measure	NOUN
cana-5424	47	13	sinks	sink	NOUN
cana-5424	47	14	to	to	ADP
cana-5424	47	15	r	r	NOUN
cana-5424	47	16	reorder	reorder	NOUN
cana-5424	47	17	point	point	NOUN
cana-5424	47	18	.	.	PUNCT
cana-5424	48	1	thus	thus	ADV
cana-5424	48	2	,	,	PUNCT
cana-5424	48	3	inventory	inventory	NOUN
cana-5424	48	4	measure	measure	NOUN
cana-5424	48	5	sinks	sink	NOUN
cana-5424	48	6	to	to	ADP
cana-5424	48	7	r−	r−	PROPN
cana-5424	48	8	d1l	d1l	PROPN
cana-5424	48	9	before	before	SCONJ
cana-5424	48	10	the	the	DET
cana-5424	48	11	order	order	NOUN
cana-5424	48	12	is	be	AUX
cana-5424	48	13	received	receive	VERB
cana-5424	48	14	.	.	PUNCT
cana-5424	49	1	moreover	moreover	ADV
cana-5424	49	2	,	,	PUNCT
cana-5424	49	3	q1	q1	PROPN
cana-5424	49	4	+	+	NOUN
cana-5424	49	5	r−	r−	PROPN
cana-5424	49	6	d1l	d1l	PROPN
cana-5424	49	7	depicts	depict	VERB
cana-5424	49	8	the	the	DET
cana-5424	49	9	expected	expect	VERB
cana-5424	49	10	level	level	NOUN
cana-5424	49	11	of	of	ADP
cana-5424	49	12	inventory	inventory	NOUN
cana-5424	49	13	after	after	ADP
cana-5424	49	14	receiving	receive	VERB
cana-5424	49	15	quantity	quantity	NOUN
cana-5424	49	16	q1	q1	NOUN
cana-5424	49	17	.	.	PUNCT
cana-5424	50	1	over	over	ADP
cana-5424	50	2	a	a	DET
cana-5424	50	3	cycle	cycle	NOUN
cana-5424	50	4	,	,	PUNCT
cana-5424	50	5	the	the	DET
cana-5424	50	6	average	average	ADJ
cana-5424	50	7	inventory	inventory	NOUN
cana-5424	50	8	is	be	AUX
cana-5424	50	9	represented	represent	VERB
cana-5424	50	10	as	as	ADP
cana-5424	50	11	q1	q1	PROPN
cana-5424	50	12	2	2	NUM
cana-5424	50	13	+	+	NUM
cana-5424	50	14	r−	r−	PROPN
cana-5424	50	15	d1l	d1l	NOUN
cana-5424	50	16	.	.	PUNCT
cana-5424	51	1	therefore	therefore	ADV
cana-5424	51	2	,	,	PUNCT
cana-5424	51	3	the	the	DET
cana-5424	51	4	retailer	retailer	NOUN
cana-5424	51	5	’s	’s	PART
cana-5424	51	6	inventory	inventory	NOUN
cana-5424	51	7	cost	cost	NOUN
cana-5424	51	8	of	of	ADP
cana-5424	51	9	holding	holding	NOUN
cana-5424	51	10	is	be	AUX
cana-5424	51	11	hc3	hc3	X
cana-5424	52	1	=	=	PRON
cana-5424	52	2	hrcb	hrcb	PROPN
cana-5424	52	3	(	(	PUNCT
cana-5424	52	4	q1	q1	PROPN
cana-5424	52	5	2	2	NUM
cana-5424	52	6	+	+	NUM
cana-5424	52	7	r−	r−	PROPN
cana-5424	52	8	d1l	d1l	NOUN
cana-5424	52	9	)	)	PUNCT
cana-5424	52	10	(	(	PUNCT
cana-5424	52	11	2	2	X
cana-5424	52	12	)	)	PUNCT
cana-5424	52	13	shortage	shortage	NOUN
cana-5424	52	14	cost	cost	NOUN
cana-5424	52	15	if	if	SCONJ
cana-5424	52	16	ρ	ρ	PROPN
cana-5424	52	17	is	be	AUX
cana-5424	52	18	the	the	DET
cana-5424	52	19	stochastic	stochastic	ADJ
cana-5424	52	20	demand	demand	NOUN
cana-5424	52	21	of	of	ADP
cana-5424	52	22	lead	lead	ADJ
cana-5424	52	23	time	time	NOUN
cana-5424	52	24	and	and	CCONJ
cana-5424	52	25	r	r	NOUN
cana-5424	52	26	is	be	AUX
cana-5424	52	27	the	the	DET
cana-5424	52	28	reorder	reorder	NOUN
cana-5424	52	29	point	point	NOUN
cana-5424	52	30	then	then	ADV
cana-5424	52	31	,	,	PUNCT
cana-5424	52	32	the	the	DET
cana-5424	52	33	expected	expect	VERB
cana-5424	52	34	shortage	shortage	NOUN
cana-5424	52	35	at	at	ADP
cana-5424	52	36	the	the	DET
cana-5424	52	37	end	end	NOUN
cana-5424	52	38	of	of	ADP
cana-5424	52	39	the	the	DET
cana-5424	52	40	cycle	cycle	NOUN
cana-5424	52	41	is	be	AUX
cana-5424	52	42	given	give	VERB
cana-5424	52	43	as	as	ADP
cana-5424	52	44	e(ρ−r)+	e(ρ−r)+	PROPN
cana-5424	52	45	and	and	CCONJ
cana-5424	52	46	the	the	DET
cana-5424	52	47	shortage	shortage	NOUN
cana-5424	52	48	cost	cost	NOUN
cana-5424	52	49	is	be	AUX
cana-5424	52	50	shortcost	shortcost	ADJ
cana-5424	52	51	=	=	SYM
cana-5424	52	52	νd1	νd1	NOUN
cana-5424	52	53	q1	q1	NOUN
cana-5424	52	54	e(ρ−r)+	e(ρ−r)+	PROPN
cana-5424	52	55	(	(	PUNCT
cana-5424	52	56	3	3	NUM
cana-5424	52	57	)	)	PUNCT
cana-5424	52	58	≤	≤	NUM
cana-5424	52	59	νd1	νd1	PROPN
cana-5424	52	60	q1	q1	PROPN
cana-5424	52	61			PROPN
cana-5424	52	62	√	√	PUNCT
cana-5424	52	63	σ2l	σ2l	NOUN
cana-5424	52	64	+	+	CCONJ
cana-5424	52	65	(	(	PUNCT
cana-5424	52	66	d1l)2	d1l)2	PROPN
cana-5424	52	67	+	+	CCONJ
cana-5424	52	68	δ2σ2l	δ2σ2l	NUM
cana-5424	52	69	−	−	PROPN
cana-5424	52	70	2d1lδσ	2d1lδσ	NUM
cana-5424	52	71	√	√	NUM
cana-5424	52	72	l	l	NOUN
cana-5424	53	1	+	+	CCONJ
cana-5424	53	2	(	(	PUNCT
cana-5424	53	3	d1l	d1l	PROPN
cana-5424	53	4	−	−	PROPN
cana-5424	53	5	δσ	δσ	PROPN
cana-5424	53	6	√	√	NUM
cana-5424	53	7	l	l	NOUN
cana-5424	53	8	)	)	PUNCT
cana-5424	53	9	2	2	NUM
cana-5424	53	10			NOUN
cana-5424	53	11	(	(	PUNCT
cana-5424	53	12	4	4	X
cana-5424	53	13	)	)	PUNCT
cana-5424	53	14	lead	lead	VERB
cana-5424	53	15	time	time	NOUN
cana-5424	53	16	crashing	crash	VERB
cana-5424	53	17	cost	cost	NOUN
cana-5424	53	18	the	the	DET
cana-5424	53	19	lead	lead	ADJ
cana-5424	53	20	time	time	NOUN
cana-5424	53	21	‘	'	PUNCT
cana-5424	53	22	l	l	NOUN
cana-5424	53	23	’	'	PUNCT
cana-5424	53	24	has	have	VERB
cana-5424	53	25	‘	'	PUNCT
cana-5424	53	26	m	m	X
cana-5424	53	27	’	'	PUNCT
cana-5424	53	28	collectively	collectively	ADV
cana-5424	53	29	independent	independent	ADJ
cana-5424	53	30	elements	element	NOUN
cana-5424	53	31	.	.	PUNCT
cana-5424	54	1	for	for	ADP
cana-5424	54	2	the	the	DET
cana-5424	54	3	‘	'	PUNCT
cana-5424	54	4	jth	jth	ADJ
cana-5424	54	5	’	'	PUNCT
cana-5424	54	6	element	element	NOUN
cana-5424	54	7	,	,	PUNCT
cana-5424	54	8	aj	aj	PROPN
cana-5424	54	9	=	=	PROPN
cana-5424	54	10	minimum	minimum	ADJ
cana-5424	54	11	time	time	NOUN
cana-5424	54	12	span	span	NOUN
cana-5424	54	13	,	,	PUNCT
cana-5424	54	14	bj	bj	ADP
cana-5424	54	15	=	=	PUNCT
cana-5424	54	16	normal	normal	ADJ
cana-5424	54	17	time	time	NOUN
cana-5424	54	18	span	span	NOUN
cana-5424	54	19	,	,	PUNCT
cana-5424	54	20	and	and	CCONJ
cana-5424	54	21	cj	cj	VERB
cana-5424	55	1	=	=	NOUN
cana-5424	55	2	crashing	crash	VERB
cana-5424	55	3	cost	cost	NOUN
cana-5424	55	4	per	per	ADP
cana-5424	55	5	unit	unit	NOUN
cana-5424	55	6	time	time	NOUN
cana-5424	55	7	.	.	PUNCT
cana-5424	56	1	practically	practically	ADV
cana-5424	56	2	,	,	PUNCT
cana-5424	56	3	c1	c1	PROPN
cana-5424	56	4	<	<	X
cana-5424	56	5	c2	c2	PROPN
cana-5424	56	6	<	<	X
cana-5424	56	7	.	.	PUNCT
cana-5424	56	8	.	.	PUNCT
cana-5424	56	9	.	.	PUNCT
cana-5424	57	1	<	<	X
cana-5424	57	2	cm	cm	X
cana-5424	57	3	.	.	PUNCT
cana-5424	58	1	additionally	additionally	ADV
cana-5424	58	2	,	,	PUNCT
cana-5424	58	3	l0	l0	PROPN
cana-5424	58	4	=	=	PUNCT
cana-5424	58	5	∑n	∑n	PROPN
cana-5424	58	6	j=1	j=1	PROPN
cana-5424	58	7	and	and	CCONJ
cana-5424	58	8	li	li	PROPN
cana-5424	58	9	be	be	VERB
cana-5424	58	10	the	the	DET
cana-5424	58	11	duration	duration	NOUN
cana-5424	58	12	of	of	ADP
cana-5424	58	13	the	the	DET
cana-5424	58	14	lead	lead	ADJ
cana-5424	58	15	time	time	NOUN
cana-5424	58	16	with	with	ADP
cana-5424	58	17	elements	element	NOUN
cana-5424	58	18	1	1	NUM
cana-5424	58	19	,	,	PUNCT
cana-5424	58	20	2	2	NUM
cana-5424	58	21	,	,	PUNCT
cana-5424	58	22	...	...	PUNCT
cana-5424	58	23	,	,	PUNCT
cana-5424	58	24	i	i	PRON
cana-5424	58	25	sinks	sink	VERB
cana-5424	58	26	to	to	ADP
cana-5424	58	27	their	their	PRON
cana-5424	58	28	least	least	ADJ
cana-5424	58	29	span	span	NOUN
cana-5424	58	30	of	of	ADP
cana-5424	58	31	time	time	NOUN
cana-5424	58	32	,	,	PUNCT
cana-5424	58	33	then	then	ADV
cana-5424	58	34	li	li	PROPN
cana-5424	58	35	can	can	AUX
cana-5424	58	36	be	be	AUX
cana-5424	58	37	represented	represent	VERB
cana-5424	58	38	as	as	ADP
cana-5424	58	39	li	li	PROPN
cana-5424	58	40	=	=	PROPN
cana-5424	58	41	l0	l0	PROPN
cana-5424	58	42	−	−	PROPN
cana-5424	59	1	∑n	∑n	PROPN
cana-5424	59	2	j=1(bj	j=1(bj	PROPN
cana-5424	59	3	−	−	PROPN
cana-5424	59	4	aj	aj	PROPN
cana-5424	59	5	)	)	PUNCT
cana-5424	59	6	,	,	PUNCT
cana-5424	59	7	i	i	NOUN
cana-5424	59	8	=	=	NOUN
cana-5424	59	9	1	1	NUM
cana-5424	59	10	,	,	PUNCT
cana-5424	59	11	2	2	NUM
cana-5424	59	12	,	,	PUNCT
cana-5424	59	13	.	.	PUNCT
cana-5424	59	14	.	.	PUNCT
cana-5424	60	1	.	.	PUNCT
cana-5424	61	1	,	,	PUNCT
cana-5424	61	2	n.	n.	VERB
cana-5424	61	3	the	the	DET
cana-5424	61	4	lead	lead	ADJ
cana-5424	61	5	time	time	NOUN
cana-5424	61	6	crashing	crash	VERB
cana-5424	61	7	cost	cost	NOUN
cana-5424	61	8	per	per	ADP
cana-5424	61	9	cycle	cycle	NOUN
cana-5424	61	10	cl	cl	NOUN
cana-5424	61	11	is	be	AUX
cana-5424	61	12	manifested	manifest	VERB
cana-5424	61	13	as	as	ADP
cana-5424	61	14	cl	cl	NOUN
cana-5424	61	15	=	=	PUNCT
cana-5424	61	16	ci(li−1	ci(li−1	PROPN
cana-5424	61	17	−	−	PROPN
cana-5424	61	18	l	l	PROPN
cana-5424	61	19	)	)	PUNCT
cana-5424	62	1	+	+	NUM
cana-5424	62	2	∑i−1	∑i−1	X
cana-5424	62	3	j=1	j=1	NOUN
cana-5424	62	4	cj(bj	cj(bj	PROPN
cana-5424	62	5	−	−	NUM
cana-5424	62	6	aj	aj	PROPN
cana-5424	62	7	)	)	PUNCT
cana-5424	62	8	(	(	PUNCT
cana-5424	62	9	sarkar	sarkar	PROPN
cana-5424	62	10	et	et	PROPN
cana-5424	62	11	al	al	PROPN
cana-5424	62	12	.	.	PROPN
cana-5424	62	13	,	,	PUNCT
cana-5424	62	14	2018	2018	NUM
cana-5424	62	15	)	)	PUNCT
cana-5424	62	16	.	.	PUNCT
cana-5424	63	1	therefore	therefore	ADV
cana-5424	63	2	,	,	PUNCT
cana-5424	63	3	the	the	DET
cana-5424	63	4	cost	cost	NOUN
cana-5424	63	5	of	of	ADP
cana-5424	63	6	lead	lead	ADJ
cana-5424	63	7	time	time	NOUN
cana-5424	63	8	crashing	crash	VERB
cana-5424	63	9	is	be	AUX
cana-5424	63	10	cll	cll	PROPN
cana-5424	63	11	=	=	PUNCT
cana-5424	63	12	d1cl	d1cl	NUM
cana-5424	63	13	q1	q1	PROPN
cana-5424	63	14	(	(	PUNCT
cana-5424	63	15	5	5	NUM
cana-5424	63	16	)	)	PUNCT
cana-5424	63	17	total	total	NOUN
cana-5424	63	18	cost	cost	NOUN
cana-5424	63	19	the	the	DET
cana-5424	63	20	retailer	retailer	NOUN
cana-5424	63	21	’s	’s	PART
cana-5424	63	22	aggregate	aggregate	ADJ
cana-5424	63	23	cost	cost	NOUN
cana-5424	63	24	per	per	ADP
cana-5424	63	25	unit	unit	NOUN
cana-5424	63	26	of	of	ADP
cana-5424	63	27	time	time	NOUN
cana-5424	63	28	by	by	ADP
cana-5424	63	29	selling	sell	VERB
cana-5424	63	30	the	the	DET
cana-5424	63	31	core	core	NOUN
cana-5424	63	32	item	item	NOUN
cana-5424	63	33	is	be	AUX
cana-5424	63	34	tc1	tc1	NOUN
cana-5424	63	35	=	=	PUNCT
cana-5424	63	36	cost	cost	NOUN
cana-5424	63	37	of	of	ADP
cana-5424	63	38	ordering	order	VERB
cana-5424	63	39	+	+	CCONJ
cana-5424	63	40	cost	cost	NOUN
cana-5424	63	41	of	of	ADP
cana-5424	63	42	holding	hold	VERB
cana-5424	63	43	+	+	CCONJ
cana-5424	63	44	cost	cost	NOUN
cana-5424	63	45	of	of	ADP
cana-5424	63	46	shortage	shortage	NOUN
cana-5424	63	47	+	+	CCONJ
cana-5424	63	48	cost	cost	NOUN
cana-5424	63	49	of	of	ADP
cana-5424	63	50	lead	lead	ADJ
cana-5424	63	51	time	time	NOUN
cana-5424	63	52	crashing	crash	VERB
cana-5424	63	53	communications	communication	NOUN
cana-5424	63	54	on	on	ADP
cana-5424	63	55	applied	apply	VERB
cana-5424	63	56	nonlinear	nonlinear	ADJ
cana-5424	63	57	analysis	analysis	NOUN
cana-5424	63	58	issn	issn	NOUN
cana-5424	63	59	:	:	PUNCT
cana-5424	63	60	1074	1074	NUM
cana-5424	63	61	-	-	PUNCT
cana-5424	63	62	133x	133x	NUM
cana-5424	63	63	vol	vol	NOUN
cana-5424	63	64	32	32	NUM
cana-5424	63	65	no	no	NOUN
cana-5424	63	66	.	.	PUNCT
cana-5424	64	1	10s(2025	10s(2025	NUM
cana-5424	64	2	)	)	PUNCT
cana-5424	64	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	64	4	2235	2235	NUM
cana-5424	64	5	tc1	tc1	NOUN
cana-5424	64	6	=	=	PUNCT
cana-5424	64	7	ord1	ord1	PROPN
cana-5424	64	8	q1	q1	PROPN
cana-5424	64	9	+	+	CCONJ
cana-5424	64	10	hrcb	hrcb	PROPN
cana-5424	64	11	(	(	PUNCT
cana-5424	64	12	q1	q1	PROPN
cana-5424	64	13	2	2	NUM
cana-5424	64	14	+	+	NUM
cana-5424	64	15	r−	r−	NOUN
cana-5424	64	16	d1l	d1l	NOUN
cana-5424	64	17	)	)	PUNCT
cana-5424	65	1	+	+	CCONJ
cana-5424	65	2	νd1	νd1	NOUN
cana-5424	65	3	q1	q1	NOUN
cana-5424	65	4	e(ρ−r)+	e(ρ−r)+	PROPN
cana-5424	65	5	+	+	CCONJ
cana-5424	65	6	d1cl	d1cl	PROPN
cana-5424	65	7	q1	q1	NOUN
cana-5424	65	8	(	(	PUNCT
cana-5424	65	9	6	6	NUM
cana-5424	65	10	)	)	PUNCT
cana-5424	65	11	2.1.2	2.1.2	NUM
cana-5424	65	12	manufacturer	manufacturer	NOUN
cana-5424	65	13	’s	’s	PART
cana-5424	65	14	cost	cost	NOUN
cana-5424	65	15	parameters	parameter	NOUN
cana-5424	65	16	for	for	ADP
cana-5424	65	17	standard	standard	ADJ
cana-5424	65	18	product	product	NOUN
cana-5424	65	19	the	the	DET
cana-5424	65	20	costs	cost	NOUN
cana-5424	65	21	associated	associate	VERB
cana-5424	65	22	with	with	ADP
cana-5424	65	23	the	the	DET
cana-5424	65	24	standard	standard	ADJ
cana-5424	65	25	product	product	NOUN
cana-5424	65	26	,	,	PUNCT
cana-5424	65	27	bore	bore	NOUN
cana-5424	65	28	by	by	ADP
cana-5424	65	29	the	the	DET
cana-5424	65	30	manufacturer	manufacturer	NOUN
cana-5424	65	31	are	be	AUX
cana-5424	65	32	given	give	VERB
cana-5424	65	33	as	as	SCONJ
cana-5424	65	34	follows	follow	VERB
cana-5424	65	35	.	.	PUNCT
cana-5424	66	1	setup	setup	NOUN
cana-5424	66	2	cost	cost	VERB
cana-5424	66	3	the	the	DET
cana-5424	66	4	manufacturer	manufacturer	NOUN
cana-5424	66	5	’s	’s	PART
cana-5424	66	6	setup	setup	NOUN
cana-5424	66	7	cost	cost	NOUN
cana-5424	66	8	is	be	AUX
cana-5424	66	9	equal	equal	ADJ
cana-5424	66	10	to	to	ADP
cana-5424	66	11	sm	sm	PROPN
cana-5424	67	1	c	c	PROPN
cana-5424	67	2	d1	d1	PROPN
cana-5424	67	3	ηq1	ηq1	NOUN
cana-5424	67	4	that	that	PRON
cana-5424	67	5	is	be	AUX
cana-5424	67	6	derived	derive	VERB
cana-5424	67	7	from	from	ADP
cana-5424	67	8	machines	machine	NOUN
cana-5424	67	9	and	and	CCONJ
cana-5424	67	10	cutting	cut	VERB
cana-5424	67	11	tools	tool	NOUN
cana-5424	67	12	i.e.	i.e.	ADV
cana-5424	67	13	,	,	PUNCT
cana-5424	68	1	the	the	DET
cana-5424	68	2	setup	setup	NOUN
cana-5424	68	3	of	of	ADP
cana-5424	68	4	resources	resource	NOUN
cana-5424	68	5	.	.	PUNCT
cana-5424	69	1	moreover	moreover	ADV
cana-5424	69	2	,	,	PUNCT
cana-5424	69	3	as	as	SCONJ
cana-5424	69	4	q1	q1	PROPN
cana-5424	69	5	is	be	AUX
cana-5424	69	6	the	the	DET
cana-5424	69	7	quantity	quantity	NOUN
cana-5424	69	8	ordered	order	VERB
cana-5424	69	9	by	by	ADP
cana-5424	69	10	the	the	DET
cana-5424	69	11	retailer	retailer	NOUN
cana-5424	69	12	,	,	PUNCT
cana-5424	69	13	ηq1	ηq1	NOUN
cana-5424	69	14	quantity	quantity	NOUN
cana-5424	69	15	is	be	AUX
cana-5424	69	16	manufactured	manufacture	VERB
cana-5424	69	17	by	by	ADP
cana-5424	69	18	the	the	DET
cana-5424	69	19	producer	producer	NOUN
cana-5424	69	20	where	where	SCONJ
cana-5424	69	21	η	η	PROPN
cana-5424	69	22	is	be	AUX
cana-5424	69	23	a	a	DET
cana-5424	69	24	positive	positive	ADJ
cana-5424	69	25	integer	integer	NOUN
cana-5424	69	26	.	.	PUNCT
cana-5424	70	1	therefore	therefore	ADV
cana-5424	70	2	,	,	PUNCT
cana-5424	70	3	the	the	DET
cana-5424	70	4	setup	setup	NOUN
cana-5424	70	5	orders	order	NOUN
cana-5424	70	6	of	of	ADP
cana-5424	70	7	the	the	DET
cana-5424	70	8	producer	producer	NOUN
cana-5424	70	9	are	be	AUX
cana-5424	70	10	d1	d1	NOUN
cana-5424	70	11	ηq1	ηq1	NOUN
cana-5424	70	12	and	and	CCONJ
cana-5424	70	13	the	the	DET
cana-5424	70	14	cost	cost	NOUN
cana-5424	70	15	is	be	AUX
cana-5424	70	16	sm	sm	NOUN
cana-5424	70	17	c	c	NOUN
cana-5424	70	18	d1	d1	NOUN
cana-5424	70	19	ηq1	ηq1	NOUN
cana-5424	70	20	.	.	PUNCT
cana-5424	71	1	henceforth	henceforth	ADV
cana-5424	71	2	,	,	PUNCT
cana-5424	71	3	the	the	DET
cana-5424	71	4	setup	setup	NOUN
cana-5424	71	5	cost	cost	NOUN
cana-5424	71	6	for	for	ADP
cana-5424	71	7	the	the	DET
cana-5424	71	8	manufacturer	manufacturer	NOUN
cana-5424	71	9	is	be	AUX
cana-5424	71	10	given	give	VERB
cana-5424	71	11	as	as	ADP
cana-5424	71	12	sc1	sc1	NOUN
cana-5424	71	13	=	=	PROPN
cana-5424	71	14	sm	sm	PROPN
cana-5424	71	15	c	c	NOUN
cana-5424	71	16	d1	d1	PROPN
cana-5424	71	17	ηq1	ηq1	NOUN
cana-5424	71	18	(	(	PUNCT
cana-5424	71	19	7	7	X
cana-5424	71	20	)	)	PUNCT
cana-5424	71	21	holding	hold	VERB
cana-5424	71	22	cost	cost	NOUN
cana-5424	71	23	holding	holding	NOUN
cana-5424	71	24	cost	cost	NOUN
cana-5424	71	25	is	be	AUX
cana-5424	71	26	induced	induce	VERB
cana-5424	71	27	when	when	SCONJ
cana-5424	71	28	the	the	DET
cana-5424	71	29	producer	producer	NOUN
cana-5424	71	30	stores	store	VERB
cana-5424	71	31	the	the	DET
cana-5424	71	32	produced	produce	VERB
cana-5424	71	33	product	product	NOUN
cana-5424	71	34	for	for	ADP
cana-5424	71	35	some	some	DET
cana-5424	71	36	time	time	NOUN
cana-5424	71	37	.	.	PUNCT
cana-5424	72	1	the	the	DET
cana-5424	72	2	producer	producer	NOUN
cana-5424	72	3	’s	’s	PART
cana-5424	72	4	average	average	ADJ
cana-5424	72	5	inventory	inventory	NOUN
cana-5424	72	6	is	be	AUX
cana-5424	72	7	evaluated	evaluate	VERB
cana-5424	72	8	as	as	SCONJ
cana-5424	72	9	follows	follow	VERB
cana-5424	72	10	.	.	PUNCT
cana-5424	73	1	whereas	whereas	SCONJ
cana-5424	73	2	,	,	PUNCT
cana-5424	73	3	the	the	DET
cana-5424	73	4	membership	membership	NOUN
cana-5424	73	5	functions	function	NOUN
cana-5424	73	6	d1	d1	PROPN
cana-5424	73	7	(	(	PUNCT
cana-5424	73	8	ηq1	ηq1	X
cana-5424	73	9	(	(	PUNCT
cana-5424	73	10	q1	q1	PROPN
cana-5424	73	11	p1	p1	PROPN
cana-5424	73	12	+	+	CCONJ
cana-5424	73	13	(	(	PUNCT
cana-5424	73	14	η−1)q1d1	η−1)q1d1	PROPN
cana-5424	73	15	η	η	PROPN
cana-5424	73	16	)	)	PUNCT
cana-5424	73	17	−	−	PROPN
cana-5424	73	18	η2q21	η2q21	ADJ
cana-5424	73	19	2p1	2p1	NUM
cana-5424	73	20	−	−	PROPN
cana-5424	73	21	(	(	PUNCT
cana-5424	73	22	q21	q21	NOUN
cana-5424	73	23	d1	d1	PROPN
cana-5424	73	24	(	(	PUNCT
cana-5424	73	25	1	1	NUM
cana-5424	73	26	+	+	SYM
cana-5424	73	27	2	2	NUM
cana-5424	73	28	+	+	CCONJ
cana-5424	73	29	.	.	PUNCT
cana-5424	73	30	.	.	PUNCT
cana-5424	74	1	.+	.+	NOUN
cana-5424	74	2	(	(	PUNCT
cana-5424	74	3	η	η	PROPN
cana-5424	74	4	−	−	PROPN
cana-5424	74	5	1	1	NUM
cana-5424	74	6	)	)	PUNCT
cana-5424	74	7	)	)	PUNCT
cana-5424	74	8	)	)	PUNCT
cana-5424	74	9	)	)	PUNCT
cana-5424	75	1	ηq1	ηq1	NOUN
cana-5424	75	2	=	=	SYM
cana-5424	75	3	q1	q1	PROPN
cana-5424	75	4	2	2	NUM
cana-5424	75	5	(	(	PUNCT
cana-5424	75	6	η	η	PROPN
cana-5424	75	7	(	(	PUNCT
cana-5424	75	8	1−	1−	NUM
cana-5424	75	9	d1	d1	PROPN
cana-5424	75	10	p1	p1	NOUN
cana-5424	75	11	)	)	PUNCT
cana-5424	76	1	−	−	ADP
cana-5424	76	2	1	1	NUM
cana-5424	77	1	+	+	CCONJ
cana-5424	77	2	2d1	2d1	NUM
cana-5424	77	3	p1	p1	NOUN
cana-5424	77	4	)	)	PUNCT
cana-5424	77	5	the	the	DET
cana-5424	77	6	manufacturer	manufacturer	NOUN
cana-5424	77	7	’s	’s	PART
cana-5424	77	8	cost	cost	NOUN
cana-5424	77	9	of	of	ADP
cana-5424	77	10	holding	holding	NOUN
cana-5424	77	11	is	be	AUX
cana-5424	77	12	hmcpq1	hmcpq1	NOUN
cana-5424	77	13	2	2	NUM
cana-5424	77	14	(	(	PUNCT
cana-5424	77	15	η	η	PROPN
cana-5424	77	16	(	(	PUNCT
cana-5424	77	17	1−	1−	NUM
cana-5424	77	18	d1	d1	PROPN
cana-5424	77	19	p1	p1	NOUN
cana-5424	77	20	)	)	PUNCT
cana-5424	77	21	−	−	ADP
cana-5424	78	1	1	1	NUM
cana-5424	78	2	+	+	CCONJ
cana-5424	78	3	2d1	2d1	NUM
cana-5424	78	4	p1	p1	NOUN
cana-5424	78	5	)	)	PUNCT
cana-5424	78	6	.	.	PUNCT
cana-5424	78	7	.	.	PUNCT
cana-5424	79	1	therefore	therefore	ADV
cana-5424	79	2	,	,	PUNCT
cana-5424	79	3	the	the	DET
cana-5424	79	4	expected	expect	VERB
cana-5424	79	5	cost	cost	NOUN
cana-5424	79	6	of	of	ADP
cana-5424	79	7	holding	hold	VERB
cana-5424	79	8	per	per	ADP
cana-5424	79	9	unit	unit	NOUN
cana-5424	79	10	time	time	NOUN
cana-5424	79	11	per	per	ADP
cana-5424	79	12	unit	unit	NOUN
cana-5424	79	13	item	item	NOUN
cana-5424	79	14	is	be	AUX
cana-5424	79	15	hc1	hc1	PROPN
cana-5424	79	16	=	=	PUNCT
cana-5424	80	1	hmcpq1	hmcpq1	X
cana-5424	80	2	2	2	NUM
cana-5424	80	3	(	(	PUNCT
cana-5424	80	4	η	η	PROPN
cana-5424	80	5	(	(	PUNCT
cana-5424	80	6	1−	1−	NUM
cana-5424	80	7	d1	d1	PROPN
cana-5424	80	8	p1	p1	NOUN
cana-5424	80	9	)	)	PUNCT
cana-5424	80	10	−	−	ADP
cana-5424	81	1	1	1	NUM
cana-5424	81	2	+	+	CCONJ
cana-5424	81	3	2d1	2d1	NUM
cana-5424	81	4	p1	p1	NOUN
cana-5424	81	5	)	)	PUNCT
cana-5424	81	6	manufacturer	manufacturer	NOUN
cana-5424	81	7	’s	’s	PART
cana-5424	81	8	production	production	NOUN
cana-5424	81	9	cost	cost	NOUN
cana-5424	81	10	for	for	ADP
cana-5424	81	11	manufacturing	manufacture	VERB
cana-5424	81	12	the	the	DET
cana-5424	81	13	finished	finished	ADJ
cana-5424	81	14	product	product	NOUN
cana-5424	81	15	,	,	PUNCT
cana-5424	81	16	the	the	DET
cana-5424	81	17	manufacture	manufacture	NOUN
cana-5424	81	18	has	have	VERB
cana-5424	81	19	to	to	PART
cana-5424	81	20	invest	invest	VERB
cana-5424	81	21	in	in	ADP
cana-5424	81	22	the	the	DET
cana-5424	81	23	form	form	NOUN
cana-5424	81	24	of	of	ADP
cana-5424	81	25	capital	capital	NOUN
cana-5424	81	26	,	,	PUNCT
cana-5424	81	27	energy	energy	NOUN
cana-5424	81	28	,	,	PUNCT
cana-5424	81	29	and	and	CCONJ
cana-5424	81	30	labors	labor	NOUN
cana-5424	81	31	which	which	PRON
cana-5424	81	32	is	be	AUX
cana-5424	81	33	termed	term	VERB
cana-5424	81	34	as	as	ADP
cana-5424	81	35	cost	cost	NOUN
cana-5424	81	36	of	of	ADP
cana-5424	81	37	production	production	NOUN
cana-5424	81	38	.	.	PUNCT
cana-5424	82	1	thus	thus	ADV
cana-5424	82	2	,	,	PUNCT
cana-5424	82	3	the	the	DET
cana-5424	82	4	cost	cost	NOUN
cana-5424	82	5	of	of	ADP
cana-5424	82	6	production	production	NOUN
cana-5424	82	7	is	be	AUX
cana-5424	82	8	pc1	pc1	NOUN
cana-5424	82	9	=	=	PUNCT
cana-5424	82	10	cvrd1	cvrd1	X
cana-5424	82	11	(	(	PUNCT
cana-5424	82	12	8)	8)	NUM
cana-5424	82	13	cost	cost	NOUN
cana-5424	82	14	of	of	ADP
cana-5424	82	15	imperfect	imperfect	ADJ
cana-5424	82	16	items	item	NOUN
cana-5424	82	17	in	in	ADP
cana-5424	82	18	the	the	DET
cana-5424	82	19	course	course	NOUN
cana-5424	82	20	of	of	ADP
cana-5424	82	21	production	production	NOUN
cana-5424	82	22	of	of	ADP
cana-5424	82	23	ηq1	ηq1	PROPN
cana-5424	82	24	lost	lose	VERB
cana-5424	82	25	size	size	NOUN
cana-5424	82	26	,	,	PUNCT
cana-5424	82	27	nearly	nearly	ADV
cana-5424	82	28	ηq1ζ	ηq1ζ	NOUN
cana-5424	82	29	2	2	NUM
cana-5424	82	30	defective	defective	ADJ
cana-5424	82	31	items	item	NOUN
cana-5424	82	32	are	be	AUX
cana-5424	82	33	believed	believe	VERB
cana-5424	82	34	to	to	PART
cana-5424	82	35	produce	produce	VERB
cana-5424	82	36	.	.	PUNCT
cana-5424	83	1	thus	thus	ADV
cana-5424	83	2	,	,	PUNCT
cana-5424	83	3	the	the	DET
cana-5424	83	4	year	year	NOUN
cana-5424	83	5	-	-	PUNCT
cana-5424	83	6	long	long	ADJ
cana-5424	83	7	cost	cost	NOUN
cana-5424	83	8	of	of	ADP
cana-5424	83	9	imperfect	imperfect	ADJ
cana-5424	83	10	items	item	NOUN
cana-5424	83	11	is	be	AUX
cana-5424	83	12	believed	believe	VERB
cana-5424	83	13	to	to	PART
cana-5424	83	14	be	be	AUX
cana-5424	83	15	ic1	ic1	ADJ
cana-5424	83	16	=	=	SYM
cana-5424	83	17	sd1ηq1ζ	sd1ηq1ζ	NOUN
cana-5424	83	18	2	2	NUM
cana-5424	83	19	(	(	PUNCT
cana-5424	83	20	9	9	NUM
cana-5424	83	21	)	)	PUNCT
cana-5424	83	22	investment	investment	NOUN
cana-5424	83	23	in	in	ADP
cana-5424	83	24	the	the	DET
cana-5424	83	25	quality	quality	NOUN
cana-5424	83	26	improvement	improvement	NOUN
cana-5424	83	27	of	of	ADP
cana-5424	83	28	the	the	DET
cana-5424	83	29	product	product	NOUN
cana-5424	83	30	communications	communication	NOUN
cana-5424	83	31	on	on	ADP
cana-5424	83	32	applied	apply	VERB
cana-5424	83	33	nonlinear	nonlinear	ADJ
cana-5424	83	34	analysis	analysis	NOUN
cana-5424	83	35	issn	issn	NOUN
cana-5424	83	36	:	:	PUNCT
cana-5424	83	37	1074	1074	NUM
cana-5424	83	38	-	-	PUNCT
cana-5424	83	39	133x	133x	NUM
cana-5424	83	40	vol	vol	NOUN
cana-5424	83	41	32	32	NUM
cana-5424	83	42	no	no	NOUN
cana-5424	83	43	.	.	PUNCT
cana-5424	84	1	10s(2025	10s(2025	NUM
cana-5424	84	2	)	)	PUNCT
cana-5424	85	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	85	2	2236	2236	NUM
cana-5424	85	3	the	the	DET
cana-5424	85	4	capital	capital	NOUN
cana-5424	85	5	expenditure	expenditure	NOUN
cana-5424	85	6	iζ	iζ	NOUN
cana-5424	85	7	is	be	AUX
cana-5424	85	8	presumed	presume	VERB
cana-5424	85	9	for	for	ADP
cana-5424	85	10	reducing	reduce	VERB
cana-5424	85	11	the	the	DET
cana-5424	85	12	probability	probability	NOUN
cana-5424	85	13	of	of	ADP
cana-5424	85	14	out	out	ADP
cana-5424	85	15	-	-	PUNCT
cana-5424	85	16	of	of	ADP
cana-5424	85	17	-	-	PUNCT
cana-5424	85	18	control	control	NOUN
cana-5424	85	19	ζ	ζ	NOUN
cana-5424	85	20	.	.	PUNCT
cana-5424	86	1	therefore	therefore	ADV
cana-5424	86	2	,	,	PUNCT
cana-5424	86	3	iζ	iζ	PROPN
cana-5424	86	4	can	can	AUX
cana-5424	86	5	be	be	AUX
cana-5424	86	6	exhibited	exhibit	VERB
cana-5424	86	7	as	as	ADP
cana-5424	86	8	iζ	iζ	NOUN
cana-5424	86	9	=	=	SYM
cana-5424	86	10	b	b	PROPN
cana-5424	86	11	ln	ln	ADJ
cana-5424	86	12	(	(	PUNCT
cana-5424	86	13	ζ0	ζ0	ADJ
cana-5424	86	14	ζ	ζ	NOUN
cana-5424	86	15	)	)	PUNCT
cana-5424	86	16	for	for	ADP
cana-5424	86	17	0	0	NUM
cana-5424	86	18	<	<	X
cana-5424	86	19	ζ	ζ	PROPN
cana-5424	86	20	≤	≤	NUM
cana-5424	86	21	ζ0	ζ0	NOUN
cana-5424	86	22	,	,	PUNCT
cana-5424	86	23	i.e.	i.e.	X
cana-5424	86	24	,	,	PUNCT
cana-5424	86	25	iζ	iζ	ADJ
cana-5424	86	26	=	=	PUNCT
cana-5424	86	27	b(ln	b(ln	NOUN
cana-5424	86	28	ζ0	ζ0	NOUN
cana-5424	86	29	−	−	PROPN
cana-5424	86	30	ln	ln	ADJ
cana-5424	86	31	ζ	ζ	NOUN
cana-5424	86	32	)	)	PUNCT
cana-5424	86	33	,	,	PUNCT
cana-5424	86	34	where	where	SCONJ
cana-5424	86	35	as	as	ADP
cana-5424	86	36	initial	initial	ADJ
cana-5424	86	37	probability	probability	NOUN
cana-5424	86	38	is	be	AUX
cana-5424	86	39	given	give	VERB
cana-5424	86	40	by	by	ADP
cana-5424	86	41	ζ0	ζ0	NOUN
cana-5424	86	42	,	,	PUNCT
cana-5424	86	43	for	for	ADP
cana-5424	86	44	which	which	PRON
cana-5424	86	45	the	the	DET
cana-5424	86	46	manufacturing	manufacturing	NOUN
cana-5424	86	47	can	can	AUX
cana-5424	86	48	go	go	VERB
cana-5424	86	49	out	out	ADV
cana-5424	86	50	-	-	PUNCT
cana-5424	86	51	of	of	ADP
cana-5424	86	52	-	-	PUNCT
cana-5424	86	53	control	control	NOUN
cana-5424	86	54	.	.	PUNCT
cana-5424	87	1	and	and	CCONJ
cana-5424	87	2	b	b	X
cana-5424	87	3	=	=	SYM
cana-5424	87	4	1	1	NUM
cana-5424	87	5	∆	∆	PROPN
cana-5424	87	6	,	,	PUNCT
cana-5424	87	7	where	where	SCONJ
cana-5424	87	8	∆	∆	PROPN
cana-5424	87	9	depicts	depict	VERB
cana-5424	87	10	the	the	DET
cana-5424	87	11	shrink	shrink	ADJ
cana-5424	87	12	percentage	percentage	NOUN
cana-5424	87	13	in	in	ADP
cana-5424	87	14	ζ	ζ	NOUN
cana-5424	87	15	per	per	ADP
cana-5424	87	16	dollar	dollar	NOUN
cana-5424	87	17	rise	rise	VERB
cana-5424	87	18	in	in	ADP
cana-5424	87	19	iζ	iζ	PROPN
cana-5424	87	20	.	.	PUNCT
cana-5424	88	1	therefore	therefore	ADV
cana-5424	88	2	,	,	PUNCT
cana-5424	88	3	the	the	DET
cana-5424	88	4	financing	financing	NOUN
cana-5424	88	5	done	do	VERB
cana-5424	88	6	for	for	ADP
cana-5424	88	7	improving	improve	VERB
cana-5424	88	8	the	the	DET
cana-5424	88	9	quality	quality	NOUN
cana-5424	88	10	of	of	ADP
cana-5424	88	11	the	the	DET
cana-5424	88	12	product	product	NOUN
cana-5424	88	13	is	be	AUX
cana-5424	88	14	given	give	VERB
cana-5424	88	15	as	as	SCONJ
cana-5424	88	16	i	i	PROPN
cana-5424	88	17	=	=	SYM
cana-5424	88	18	αb(ln	αb(ln	PROPN
cana-5424	88	19	ζ0	ζ0	NOUN
cana-5424	88	20	−	−	PROPN
cana-5424	88	21	ln	ln	ADJ
cana-5424	88	22	ζ	ζ	NOUN
cana-5424	88	23	)	)	PUNCT
cana-5424	88	24	(	(	PUNCT
cana-5424	88	25	10	10	NUM
cana-5424	88	26	)	)	PUNCT
cana-5424	88	27	where	where	SCONJ
cana-5424	88	28	the	the	DET
cana-5424	88	29	capital	capital	NOUN
cana-5424	88	30	investment	investment	NOUN
cana-5424	88	31	’s	’s	PART
cana-5424	88	32	fraction	fraction	NOUN
cana-5424	88	33	of	of	ADP
cana-5424	88	34	annual	annual	ADJ
cana-5424	88	35	cost	cost	NOUN
cana-5424	88	36	is	be	AUX
cana-5424	89	1	α	α	X
cana-5424	89	2	.	.	PUNCT
cana-5424	89	3	total	total	ADJ
cana-5424	89	4	cost	cost	NOUN
cana-5424	89	5	the	the	DET
cana-5424	89	6	aggregate	aggregate	ADJ
cana-5424	89	7	cost	cost	NOUN
cana-5424	89	8	of	of	ADP
cana-5424	89	9	selling	sell	VERB
cana-5424	89	10	the	the	DET
cana-5424	89	11	core	core	NOUN
cana-5424	89	12	item	item	NOUN
cana-5424	89	13	through	through	ADP
cana-5424	89	14	the	the	DET
cana-5424	89	15	retail	retail	ADJ
cana-5424	89	16	channel	channel	NOUN
cana-5424	89	17	per	per	ADP
cana-5424	89	18	unit	unit	NOUN
cana-5424	89	19	of	of	ADP
cana-5424	89	20	time	time	NOUN
cana-5424	89	21	is	be	AUX
cana-5424	89	22	tc2	tc2	NOUN
cana-5424	89	23	=	=	PUNCT
cana-5424	89	24	cost	cost	NOUN
cana-5424	89	25	of	of	ADP
cana-5424	89	26	setup	setup	NOUN
cana-5424	89	27	+	+	CCONJ
cana-5424	89	28	cost	cost	NOUN
cana-5424	89	29	of	of	ADP
cana-5424	89	30	holding	hold	VERB
cana-5424	89	31	+	+	CCONJ
cana-5424	89	32	cost	cost	NOUN
cana-5424	89	33	of	of	ADP
cana-5424	89	34	production	production	NOUN
cana-5424	89	35	+	+	CCONJ
cana-5424	89	36	cost	cost	NOUN
cana-5424	89	37	of	of	ADP
cana-5424	89	38	imperfect	imperfect	ADJ
cana-5424	89	39	items	item	NOUN
cana-5424	89	40	+	+	CCONJ
cana-5424	89	41	investment	investment	NOUN
cana-5424	89	42	in	in	ADP
cana-5424	89	43	the	the	DET
cana-5424	89	44	quality	quality	NOUN
cana-5424	89	45	improvement	improvement	NOUN
cana-5424	89	46	of	of	ADP
cana-5424	89	47	the	the	DET
cana-5424	89	48	product	product	NOUN
cana-5424	90	1	tc2	tc2	NOUN
cana-5424	90	2	=	=	PROPN
cana-5424	91	1	sm	sm	PROPN
cana-5424	91	2	c	c	NOUN
cana-5424	91	3	d1	d1	NOUN
cana-5424	91	4	ηq1	ηq1	NOUN
cana-5424	92	1	+	+	CCONJ
cana-5424	92	2	hmcpq1	hmcpq1	NOUN
cana-5424	92	3	2	2	NUM
cana-5424	92	4	[	[	PUNCT
cana-5424	92	5	η	η	X
cana-5424	92	6	(	(	PUNCT
cana-5424	92	7	1−	1−	NUM
cana-5424	92	8	d1	d1	PROPN
cana-5424	92	9	p1	p1	NOUN
cana-5424	92	10	)	)	PUNCT
cana-5424	92	11	−	−	ADP
cana-5424	93	1	1	1	NUM
cana-5424	93	2	+	+	CCONJ
cana-5424	93	3	2d1	2d1	NUM
cana-5424	93	4	p1	p1	NOUN
cana-5424	93	5	]	]	PUNCT
cana-5424	94	1	+	+	PUNCT
cana-5424	94	2	cvrd1	cvrd1	NOUN
cana-5424	94	3	+	+	X
cana-5424	94	4	sd1ηq1ζ	sd1ηq1ζ	NOUN
cana-5424	94	5	2	2	NUM
cana-5424	94	6	+	+	NOUN
cana-5424	94	7	αb(ln	αb(ln	NOUN
cana-5424	94	8	ζ0−	ζ0−	PROPN
cana-5424	94	9	ln	ln	ADJ
cana-5424	94	10	ζ	ζ	NOUN
cana-5424	94	11	)	)	PUNCT
cana-5424	94	12	(	(	PUNCT
cana-5424	94	13	11	11	NUM
cana-5424	94	14	)	)	PUNCT
cana-5424	94	15	2.1.3	2.1.3	NUM
cana-5424	94	16	manufacturer	manufacturer	NOUN
cana-5424	94	17	’s	’s	PART
cana-5424	94	18	cost	cost	NOUN
cana-5424	94	19	parameters	parameter	NOUN
cana-5424	94	20	for	for	ADP
cana-5424	94	21	customized	customized	ADJ
cana-5424	94	22	product	product	NOUN
cana-5424	94	23	the	the	DET
cana-5424	94	24	costs	cost	NOUN
cana-5424	94	25	associated	associate	VERB
cana-5424	94	26	with	with	ADP
cana-5424	94	27	the	the	DET
cana-5424	94	28	customized	customized	ADJ
cana-5424	94	29	product	product	NOUN
cana-5424	94	30	,	,	PUNCT
cana-5424	94	31	bore	bore	NOUN
cana-5424	94	32	by	by	ADP
cana-5424	94	33	the	the	DET
cana-5424	94	34	manufacturer	manufacturer	NOUN
cana-5424	94	35	are	be	AUX
cana-5424	94	36	given	give	VERB
cana-5424	94	37	as	as	SCONJ
cana-5424	94	38	follows	follow	VERB
cana-5424	94	39	.	.	PUNCT
cana-5424	95	1	setup	setup	NOUN
cana-5424	95	2	cost	cost	NOUN
cana-5424	95	3	setup	setup	NOUN
cana-5424	95	4	cost	cost	NOUN
cana-5424	95	5	includes	include	VERB
cana-5424	95	6	the	the	DET
cana-5424	95	7	charge	charge	NOUN
cana-5424	95	8	of	of	ADP
cana-5424	95	9	supplies	supply	NOUN
cana-5424	95	10	and	and	CCONJ
cana-5424	95	11	materials	material	NOUN
cana-5424	95	12	,	,	PUNCT
cana-5424	95	13	i.e.	i.e.	X
cana-5424	95	14	,	,	PUNCT
cana-5424	95	15	cutting	cut	VERB
cana-5424	95	16	tools	tool	NOUN
cana-5424	95	17	,	,	PUNCT
cana-5424	95	18	materials	material	NOUN
cana-5424	95	19	,	,	PUNCT
cana-5424	95	20	and	and	CCONJ
cana-5424	95	21	machines	machine	NOUN
cana-5424	95	22	.	.	PUNCT
cana-5424	96	1	thus	thus	ADV
cana-5424	96	2	the	the	DET
cana-5424	96	3	setup	setup	NOUN
cana-5424	96	4	cost	cost	NOUN
cana-5424	96	5	for	for	ADP
cana-5424	96	6	the	the	DET
cana-5424	96	7	manufacturer	manufacturer	NOUN
cana-5424	96	8	is	be	AUX
cana-5424	96	9	given	give	VERB
cana-5424	96	10	as	as	ADP
cana-5424	96	11	sc2	sc2	PROPN
cana-5424	96	12	=	=	PROPN
cana-5424	96	13	sm	sm	PROPN
cana-5424	96	14	p	p	PROPN
cana-5424	96	15	d2	d2	PROPN
cana-5424	96	16	q2	q2	NOUN
cana-5424	96	17	(	(	PUNCT
cana-5424	96	18	12	12	NUM
cana-5424	96	19	)	)	PUNCT
cana-5424	96	20	holding	hold	VERB
cana-5424	96	21	cost	cost	NOUN
cana-5424	96	22	the	the	DET
cana-5424	96	23	manufacturer	manufacturer	NOUN
cana-5424	96	24	’s	’s	PART
cana-5424	96	25	average	average	ADJ
cana-5424	96	26	inventory	inventory	NOUN
cana-5424	96	27	is	be	AUX
cana-5424	96	28	evaluated	evaluate	VERB
cana-5424	96	29	as	as	ADP
cana-5424	96	30	average	average	ADJ
cana-5424	96	31	inventory	inventory	NOUN
cana-5424	96	32	=	=	SYM
cana-5424	96	33	q2	q2	NOUN
cana-5424	96	34	2	2	NUM
cana-5424	96	35	(	(	PUNCT
cana-5424	96	36	1−	1−	NUM
cana-5424	96	37	d2	d2	PROPN
cana-5424	96	38	p2	p2	PROPN
cana-5424	96	39	)	)	PUNCT
cana-5424	96	40	the	the	DET
cana-5424	96	41	cost	cost	NOUN
cana-5424	96	42	of	of	ADP
cana-5424	96	43	holding	hold	VERB
cana-5424	96	44	item	item	NOUN
cana-5424	96	45	by	by	ADP
cana-5424	96	46	the	the	DET
cana-5424	96	47	manufacturer	manufacturer	NOUN
cana-5424	96	48	is	be	AUX
cana-5424	96	49	hq2	hq2	ADJ
cana-5424	96	50	2	2	NUM
cana-5424	96	51	(	(	PUNCT
cana-5424	96	52	1−	1−	NUM
cana-5424	96	53	d2	d2	NOUN
cana-5424	96	54	p2	p2	PROPN
cana-5424	96	55	)	)	PUNCT
cana-5424	96	56	.	.	PUNCT
cana-5424	97	1	therefore	therefore	ADV
cana-5424	97	2	,	,	PUNCT
cana-5424	97	3	the	the	DET
cana-5424	97	4	expected	expect	VERB
cana-5424	97	5	cost	cost	NOUN
cana-5424	97	6	of	of	ADP
cana-5424	97	7	holding	hold	VERB
cana-5424	97	8	per	per	ADP
cana-5424	97	9	unit	unit	NOUN
cana-5424	97	10	time	time	NOUN
cana-5424	97	11	per	per	ADP
cana-5424	97	12	unit	unit	NOUN
cana-5424	97	13	item	item	NOUN
cana-5424	97	14	is	be	AUX
cana-5424	97	15	hc2	hc2	NOUN
cana-5424	97	16	=	=	PUNCT
cana-5424	97	17	hq2	hq2	X
cana-5424	97	18	2	2	NUM
cana-5424	97	19	(	(	PUNCT
cana-5424	97	20	1−	1−	NUM
cana-5424	97	21	d2	d2	PROPN
cana-5424	97	22	p2	p2	PROPN
cana-5424	97	23	)	)	PUNCT
cana-5424	97	24	manufacturing	manufacture	VERB
cana-5424	97	25	cost	cost	NOUN
cana-5424	97	26	communications	communication	NOUN
cana-5424	97	27	on	on	ADP
cana-5424	97	28	applied	apply	VERB
cana-5424	97	29	nonlinear	nonlinear	ADJ
cana-5424	97	30	analysis	analysis	NOUN
cana-5424	97	31	issn	issn	NOUN
cana-5424	97	32	:	:	PUNCT
cana-5424	97	33	1074	1074	NUM
cana-5424	97	34	-	-	PUNCT
cana-5424	97	35	133x	133x	NUM
cana-5424	97	36	vol	vol	NOUN
cana-5424	97	37	32	32	NUM
cana-5424	97	38	no	no	NOUN
cana-5424	97	39	.	.	PUNCT
cana-5424	98	1	10s(2025	10s(2025	NUM
cana-5424	98	2	)	)	PUNCT
cana-5424	99	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	99	2	2237	2237	NUM
cana-5424	99	3	for	for	ADP
cana-5424	99	4	manufacturing	manufacture	VERB
cana-5424	99	5	the	the	DET
cana-5424	99	6	customized	customized	ADJ
cana-5424	99	7	product	product	NOUN
cana-5424	99	8	,	,	PUNCT
cana-5424	99	9	the	the	DET
cana-5424	99	10	manufacturer	manufacturer	NOUN
cana-5424	99	11	has	have	VERB
cana-5424	99	12	to	to	PART
cana-5424	99	13	invest	invest	VERB
cana-5424	99	14	separately	separately	ADV
cana-5424	99	15	in	in	ADP
cana-5424	99	16	the	the	DET
cana-5424	99	17	form	form	NOUN
cana-5424	99	18	of	of	ADP
cana-5424	99	19	workers	worker	NOUN
cana-5424	99	20	,	,	PUNCT
cana-5424	99	21	energy	energy	NOUN
cana-5424	99	22	,	,	PUNCT
cana-5424	99	23	and	and	CCONJ
cana-5424	99	24	capital	capital	NOUN
cana-5424	99	25	.	.	PUNCT
cana-5424	100	1	thus	thus	ADV
cana-5424	100	2	,	,	PUNCT
cana-5424	100	3	the	the	DET
cana-5424	100	4	production	production	NOUN
cana-5424	100	5	cost	cost	NOUN
cana-5424	100	6	is	be	AUX
cana-5424	100	7	given	give	VERB
cana-5424	100	8	as	as	ADP
cana-5424	100	9	mc2	mc2	PROPN
cana-5424	100	10	=	=	SYM
cana-5424	100	11	k∑	k∑	PROPN
cana-5424	100	12	j=1	j=1	PROPN
cana-5424	100	13	cjψid2	cjψid2	PROPN
cana-5424	101	1	(	(	PUNCT
cana-5424	101	2	13	13	NUM
cana-5424	101	3	)	)	PUNCT
cana-5424	101	4	total	total	ADJ
cana-5424	101	5	cost	cost	NOUN
cana-5424	101	6	in	in	ADP
cana-5424	101	7	e	e	NOUN
cana-5424	101	8	-	-	NOUN
cana-5424	101	9	commerce	commerce	NOUN
cana-5424	101	10	,	,	PUNCT
cana-5424	101	11	the	the	DET
cana-5424	101	12	aggregate	aggregate	ADJ
cana-5424	101	13	cost	cost	NOUN
cana-5424	101	14	of	of	ADP
cana-5424	101	15	production	production	NOUN
cana-5424	101	16	per	per	ADP
cana-5424	101	17	unit	unit	NOUN
cana-5424	101	18	of	of	ADP
cana-5424	101	19	time	time	NOUN
cana-5424	101	20	by	by	ADP
cana-5424	101	21	selling	sell	VERB
cana-5424	101	22	the	the	DET
cana-5424	101	23	personalized	personalized	ADJ
cana-5424	101	24	item	item	NOUN
cana-5424	101	25	from	from	ADP
cana-5424	101	26	the	the	DET
cana-5424	101	27	online	online	ADJ
cana-5424	101	28	route	route	NOUN
cana-5424	101	29	is	be	AUX
cana-5424	101	30	tc3	tc3	NOUN
cana-5424	101	31	=	=	NOUN
cana-5424	101	32	setup	setup	NOUN
cana-5424	101	33	cost	cost	NOUN
cana-5424	101	34	+	+	CCONJ
cana-5424	101	35	holding	hold	VERB
cana-5424	101	36	cost	cost	NOUN
cana-5424	101	37	+	+	CCONJ
cana-5424	101	38	manufacturing	manufacturing	NOUN
cana-5424	101	39	cost	cost	NOUN
cana-5424	101	40	tc3	tc3	PRON
cana-5424	101	41	=	=	X
cana-5424	102	1	sm	sm	PROPN
cana-5424	102	2	p	p	PROPN
cana-5424	102	3	d2	d2	PROPN
cana-5424	102	4	q2	q2	NOUN
cana-5424	102	5	+	+	CCONJ
cana-5424	102	6	(	(	PUNCT
cana-5424	102	7	hq2	hq2	ADJ
cana-5424	102	8	2	2	NUM
cana-5424	102	9	)	)	PUNCT
cana-5424	102	10	(	(	PUNCT
cana-5424	102	11	1−	1−	NUM
cana-5424	102	12	d2	d2	NOUN
cana-5424	102	13	p2	p2	PROPN
cana-5424	102	14	)	)	PUNCT
cana-5424	103	1	+	+	CCONJ
cana-5424	103	2	k∑	k∑	X
cana-5424	103	3	j=1	j=1	ADJ
cana-5424	103	4	cjψid2	cjψid2	PROPN
cana-5424	104	1	(	(	PUNCT
cana-5424	104	2	14	14	NUM
cana-5424	104	3	)	)	PUNCT
cana-5424	104	4	total	total	ADJ
cana-5424	104	5	cost	cost	NOUN
cana-5424	104	6	tcsof	tcsof	VERB
cana-5424	104	7	the	the	DET
cana-5424	104	8	retailing	retailing	NOUN
cana-5424	104	9	system	system	NOUN
cana-5424	104	10	following	follow	VERB
cana-5424	104	11	a	a	DET
cana-5424	104	12	single	single	ADJ
cana-5424	104	13	route	route	NOUN
cana-5424	104	14	is	be	AUX
cana-5424	104	15	derived	derive	VERB
cana-5424	104	16	by	by	ADP
cana-5424	104	17	summing	sum	VERB
cana-5424	104	18	tc1	tc1	PROPN
cana-5424	104	19	and	and	CCONJ
cana-5424	104	20	tc2	tc2	NOUN
cana-5424	104	21	which	which	PRON
cana-5424	104	22	is	be	AUX
cana-5424	105	1	tcs	tcs	NOUN
cana-5424	105	2	=	=	PUNCT
cana-5424	105	3	tc1	tc1	PROPN
cana-5424	106	1	+	+	CCONJ
cana-5424	107	1	tc2	tc2	PROPN
cana-5424	107	2	tcs	tcs	NOUN
cana-5424	107	3	=	=	NOUN
cana-5424	108	1	sm	sm	NOUN
cana-5424	108	2	c	c	NOUN
cana-5424	108	3	d1	d1	NOUN
cana-5424	108	4	ηq1	ηq1	NOUN
cana-5424	109	1	+	+	CCONJ
cana-5424	109	2	hmcpq1	hmcpq1	NOUN
cana-5424	109	3	2	2	NUM
cana-5424	109	4	[	[	PUNCT
cana-5424	109	5	η	η	X
cana-5424	109	6	(	(	PUNCT
cana-5424	109	7	1−	1−	NUM
cana-5424	109	8	d1	d1	PROPN
cana-5424	109	9	p1	p1	NOUN
cana-5424	109	10	)	)	PUNCT
cana-5424	109	11	−	−	ADP
cana-5424	110	1	1	1	NUM
cana-5424	110	2	+	+	CCONJ
cana-5424	110	3	2d1	2d1	NUM
cana-5424	110	4	p1	p1	NOUN
cana-5424	110	5	]	]	PUNCT
cana-5424	110	6	+	+	NUM
cana-5424	110	7	cvrd1	cvrd1	NOUN
cana-5424	110	8	+	+	X
cana-5424	110	9	sd1ηq1ζ	sd1ηq1ζ	X
cana-5424	110	10	2	2	NUM
cana-5424	110	11	+	+	CCONJ
cana-5424	110	12	αb(ln	αb(ln	PROPN
cana-5424	110	13	ζ0	ζ0	NOUN
cana-5424	110	14	−	−	PROPN
cana-5424	110	15	ln	ln	ADJ
cana-5424	110	16	ζ	ζ	NOUN
cana-5424	110	17	)	)	PUNCT
cana-5424	110	18	+	+	NUM
cana-5424	110	19	ord1	ord1	PROPN
cana-5424	110	20	q1	q1	PROPN
cana-5424	110	21	+	+	CCONJ
cana-5424	110	22	hrcb	hrcb	PROPN
cana-5424	110	23	(	(	PUNCT
cana-5424	110	24	q1	q1	PROPN
cana-5424	110	25	2	2	NUM
cana-5424	110	26	+	+	NUM
cana-5424	110	27	r−	r−	NOUN
cana-5424	110	28	d1l	d1l	NOUN
cana-5424	110	29	)	)	PUNCT
cana-5424	111	1	+	+	CCONJ
cana-5424	111	2	νd1	νd1	NOUN
cana-5424	111	3	q1	q1	NOUN
cana-5424	111	4	e(ρ−r)+	e(ρ−r)+	PROPN
cana-5424	111	5	+	+	CCONJ
cana-5424	111	6	d1cl	d1cl	PROPN
cana-5424	111	7	q1	q1	PROPN
cana-5424	111	8	(	(	PUNCT
cana-5424	111	9	15	15	NUM
cana-5424	111	10	)	)	PUNCT
cana-5424	111	11	thus	thus	ADV
cana-5424	111	12	,	,	PUNCT
cana-5424	111	13	for	for	ADP
cana-5424	111	14	retailing	retailing	NOUN
cana-5424	111	15	system	system	NOUN
cana-5424	111	16	having	have	VERB
cana-5424	111	17	centralized	centralize	VERB
cana-5424	111	18	strategy	strategy	NOUN
cana-5424	111	19	with	with	ADP
cana-5424	111	20	single	single	ADJ
cana-5424	111	21	-	-	PUNCT
cana-5424	111	22	route	route	NOUN
cana-5424	111	23	,	,	PUNCT
cana-5424	111	24	the	the	DET
cana-5424	111	25	expected	expect	VERB
cana-5424	111	26	aggregate	aggregate	ADJ
cana-5424	111	27	cost	cost	NOUN
cana-5424	111	28	tcs	tcs	NOUN
cana-5424	111	29	is	be	AUX
cana-5424	111	30	given	give	VERB
cana-5424	111	31	by	by	ADP
cana-5424	111	32	summing	sum	VERB
cana-5424	111	33	tc1	tc1	NOUN
cana-5424	111	34	and	and	CCONJ
cana-5424	111	35	tc2	tc2	NOUN
cana-5424	111	36	that	that	PRON
cana-5424	111	37	is	be	AUX
cana-5424	111	38	tcs	tcs	NOUN
cana-5424	111	39	=	=	PUNCT
cana-5424	111	40	tc1	tc1	PROPN
cana-5424	111	41	+	+	CCONJ
cana-5424	111	42	tc2	tc2	PROPN
cana-5424	111	43	=	=	PUNCT
cana-5424	111	44	ord1	ord1	PROPN
cana-5424	111	45	q1	q1	PROPN
cana-5424	111	46	+	+	CCONJ
cana-5424	111	47	hrcb	hrcb	PROPN
cana-5424	111	48	(	(	PUNCT
cana-5424	111	49	q1	q1	PROPN
cana-5424	111	50	2	2	NUM
cana-5424	112	1	+	+	NUM
cana-5424	112	2	δσ	δσ	PROPN
cana-5424	113	1	√	√	PROPN
cana-5424	113	2	l	l	NOUN
cana-5424	113	3	)	)	PUNCT
cana-5424	114	1	+	+	CCONJ
cana-5424	114	2	d1cl	d1cl	NUM
cana-5424	114	3	q1	q1	NOUN
cana-5424	114	4	+	+	CCONJ
cana-5424	114	5	νd1	νd1	NOUN
cana-5424	114	6	2q1	2q1	NUM
cana-5424	115	1	[	[	X
cana-5424	115	2	√	√	PUNCT
cana-5424	115	3	σ2l	σ2l	NOUN
cana-5424	115	4	+	+	CCONJ
cana-5424	115	5	(	(	PUNCT
cana-5424	115	6	d1l)2	d1l)2	PROPN
cana-5424	115	7	+	+	CCONJ
cana-5424	115	8	δ2σ2l	δ2σ2l	NUM
cana-5424	115	9	−	−	PROPN
cana-5424	115	10	2d1lδσ	2d1lδσ	NUM
cana-5424	116	1	√	√	NUM
cana-5424	116	2	l	l	NOUN
cana-5424	117	1	+	+	CCONJ
cana-5424	117	2	(	(	PUNCT
cana-5424	117	3	d1l	d1l	PROPN
cana-5424	117	4	−	−	PROPN
cana-5424	117	5	δσ	δσ	PROPN
cana-5424	117	6	√	√	NUM
cana-5424	117	7	l	l	NOUN
cana-5424	117	8	)	)	PUNCT
cana-5424	117	9	]	]	PUNCT
cana-5424	118	1	+	+	CCONJ
cana-5424	118	2	sm	sm	X
cana-5424	118	3	c	c	NOUN
cana-5424	118	4	d1	d1	NOUN
cana-5424	118	5	q1η	q1η	NOUN
cana-5424	118	6	+	+	CCONJ
cana-5424	118	7	hmcpq1	hmcpq1	NOUN
cana-5424	118	8	2	2	NUM
cana-5424	118	9	[	[	PUNCT
cana-5424	118	10	η	η	X
cana-5424	118	11	(	(	PUNCT
cana-5424	118	12	1−	1−	NUM
cana-5424	118	13	d1	d1	PROPN
cana-5424	118	14	p1	p1	NOUN
cana-5424	118	15	)	)	PUNCT
cana-5424	118	16	−	−	ADP
cana-5424	118	17	1	1	NUM
cana-5424	118	18	+	+	CCONJ
cana-5424	118	19	2d1	2d1	NUM
cana-5424	118	20	p1	p1	NOUN
cana-5424	118	21	]	]	PUNCT
cana-5424	118	22	+	+	NUM
cana-5424	118	23	cvrd1	cvrd1	NOUN
cana-5424	118	24	+	+	X
cana-5424	118	25	sd1ηq1ζ	sd1ηq1ζ	X
cana-5424	118	26	2	2	NUM
cana-5424	118	27	+	+	CCONJ
cana-5424	118	28	αb(ln	αb(ln	PROPN
cana-5424	118	29	ζ0	ζ0	NOUN
cana-5424	118	30	−	−	PROPN
cana-5424	118	31	ln	ln	ADJ
cana-5424	118	32	ζ	ζ	NOUN
cana-5424	118	33	)	)	PUNCT
cana-5424	118	34	(	(	PUNCT
cana-5424	118	35	16	16	NUM
cana-5424	118	36	)	)	PUNCT
cana-5424	118	37	and	and	CCONJ
cana-5424	118	38	for	for	ADP
cana-5424	118	39	the	the	DET
cana-5424	118	40	retailing	retailing	NOUN
cana-5424	118	41	system	system	NOUN
cana-5424	118	42	having	have	VERB
cana-5424	118	43	a	a	DET
cana-5424	118	44	centralized	centralized	ADJ
cana-5424	118	45	strategy	strategy	NOUN
cana-5424	118	46	with	with	ADP
cana-5424	118	47	dual	dual	ADJ
cana-5424	118	48	-	-	PUNCT
cana-5424	118	49	route	route	NOUN
cana-5424	118	50	,	,	PUNCT
cana-5424	118	51	the	the	DET
cana-5424	118	52	expected	expect	VERB
cana-5424	118	53	aggregate	aggregate	ADJ
cana-5424	118	54	cost	cost	NOUN
cana-5424	118	55	tcd	tcd	NOUN
cana-5424	118	56	is	be	AUX
cana-5424	118	57	given	give	VERB
cana-5424	118	58	by	by	ADP
cana-5424	118	59	summing	sum	VERB
cana-5424	118	60	tc1	tc1	PROPN
cana-5424	118	61	,	,	PUNCT
cana-5424	118	62	tc2	tc2	PROPN
cana-5424	118	63	,	,	PUNCT
cana-5424	118	64	and	and	CCONJ
cana-5424	118	65	tc3	tc3	PRON
cana-5424	118	66	is	be	AUX
cana-5424	118	67	communications	communication	NOUN
cana-5424	118	68	on	on	ADP
cana-5424	118	69	applied	apply	VERB
cana-5424	118	70	nonlinear	nonlinear	ADJ
cana-5424	118	71	analysis	analysis	NOUN
cana-5424	118	72	issn	issn	NOUN
cana-5424	118	73	:	:	PUNCT
cana-5424	118	74	1074	1074	NUM
cana-5424	118	75	-	-	PUNCT
cana-5424	118	76	133x	133x	NUM
cana-5424	118	77	vol	vol	NOUN
cana-5424	118	78	32	32	NUM
cana-5424	118	79	no	no	NOUN
cana-5424	118	80	.	.	PUNCT
cana-5424	119	1	10s(2025	10s(2025	NUM
cana-5424	119	2	)	)	PUNCT
cana-5424	119	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	119	4	2238	2238	NUM
cana-5424	119	5	tcd	tcd	NOUN
cana-5424	119	6	=	=	PROPN
cana-5424	119	7	tc1	tc1	PROPN
cana-5424	119	8	+	+	CCONJ
cana-5424	119	9	tc2	tc2	PROPN
cana-5424	120	1	+	+	CCONJ
cana-5424	120	2	tc3	tc3	PROPN
cana-5424	120	3	=	=	PUNCT
cana-5424	120	4	ord1	ord1	PROPN
cana-5424	120	5	q1	q1	PROPN
cana-5424	120	6	+	+	CCONJ
cana-5424	120	7	hrcb	hrcb	PROPN
cana-5424	120	8	(	(	PUNCT
cana-5424	120	9	q1	q1	PROPN
cana-5424	120	10	2	2	NUM
cana-5424	120	11	+	+	NUM
cana-5424	120	12	δσ	δσ	PROPN
cana-5424	120	13	√	√	PROPN
cana-5424	120	14	l	l	NOUN
cana-5424	120	15	)	)	PUNCT
cana-5424	121	1	+	+	CCONJ
cana-5424	121	2	d1cl	d1cl	NUM
cana-5424	121	3	q1	q1	NOUN
cana-5424	121	4	+	+	CCONJ
cana-5424	121	5	νd1	νd1	NOUN
cana-5424	121	6	2q1	2q1	NUM
cana-5424	122	1	[	[	X
cana-5424	122	2	√	√	PUNCT
cana-5424	122	3	σ2l	σ2l	NOUN
cana-5424	122	4	+	+	CCONJ
cana-5424	122	5	(	(	PUNCT
cana-5424	122	6	d1l)2	d1l)2	PROPN
cana-5424	122	7	+	+	CCONJ
cana-5424	122	8	δ2σ2l	δ2σ2l	NUM
cana-5424	122	9	−	−	PROPN
cana-5424	122	10	2d1lδσ	2d1lδσ	NUM
cana-5424	123	1	√	√	NUM
cana-5424	123	2	l	l	NOUN
cana-5424	124	1	+	+	CCONJ
cana-5424	124	2	(	(	PUNCT
cana-5424	124	3	d1l	d1l	PROPN
cana-5424	124	4	−	−	PROPN
cana-5424	124	5	δσ	δσ	PROPN
cana-5424	124	6	√	√	NUM
cana-5424	124	7	l	l	NOUN
cana-5424	124	8	)	)	PUNCT
cana-5424	124	9	]	]	PUNCT
cana-5424	125	1	+	+	CCONJ
cana-5424	125	2	sm	sm	X
cana-5424	125	3	c	c	NOUN
cana-5424	125	4	d1	d1	NOUN
cana-5424	125	5	q1η	q1η	NOUN
cana-5424	125	6	+	+	CCONJ
cana-5424	125	7	hmcpq1	hmcpq1	NOUN
cana-5424	125	8	2	2	NUM
cana-5424	125	9	[	[	PUNCT
cana-5424	125	10	η	η	X
cana-5424	125	11	(	(	PUNCT
cana-5424	125	12	1−	1−	NUM
cana-5424	125	13	d1	d1	PROPN
cana-5424	125	14	p1	p1	NOUN
cana-5424	125	15	)	)	PUNCT
cana-5424	125	16	−	−	ADP
cana-5424	125	17	1	1	NUM
cana-5424	125	18	+	+	CCONJ
cana-5424	125	19	2d1	2d1	NUM
cana-5424	125	20	p1	p1	NOUN
cana-5424	125	21	]	]	PUNCT
cana-5424	125	22	+	+	NUM
cana-5424	125	23	cvrd1	cvrd1	NOUN
cana-5424	125	24	+	+	X
cana-5424	125	25	sd1ηq1ζ	sd1ηq1ζ	X
cana-5424	125	26	2	2	NUM
cana-5424	125	27	+	+	CCONJ
cana-5424	125	28	αb(ln	αb(ln	PROPN
cana-5424	125	29	ζ0	ζ0	NOUN
cana-5424	125	30	−	−	PROPN
cana-5424	125	31	ln	ln	ADJ
cana-5424	125	32	ζ	ζ	NOUN
cana-5424	125	33	)	)	PUNCT
cana-5424	126	1	+	+	CCONJ
cana-5424	126	2	sm	sm	PROPN
cana-5424	126	3	p	p	PROPN
cana-5424	126	4	d2	d2	PROPN
cana-5424	126	5	q2	q2	NOUN
cana-5424	126	6	+	+	CCONJ
cana-5424	126	7	(	(	PUNCT
cana-5424	126	8	hq2	hq2	ADJ
cana-5424	126	9	2	2	NUM
cana-5424	126	10	)	)	PUNCT
cana-5424	126	11	(	(	PUNCT
cana-5424	126	12	1−	1−	NUM
cana-5424	126	13	d2	d2	NOUN
cana-5424	126	14	p2	p2	PROPN
cana-5424	126	15	)	)	PUNCT
cana-5424	127	1	+	+	CCONJ
cana-5424	127	2	k∑	k∑	X
cana-5424	127	3	j=1	j=1	ADJ
cana-5424	127	4	cjψid2	cjψid2	PROPN
cana-5424	127	5	(	(	PUNCT
cana-5424	127	6	17	17	NUM
cana-5424	127	7	)	)	PUNCT
cana-5424	127	8	2.2	2.2	NUM
cana-5424	127	9	.	.	PUNCT
cana-5424	128	1	outcome	outcome	NOUN
cana-5424	128	2	of	of	ADP
cana-5424	128	3	the	the	DET
cana-5424	128	4	retailing	retailing	NOUN
cana-5424	128	5	system	system	NOUN
cana-5424	128	6	since	since	SCONJ
cana-5424	128	7	,	,	PUNCT
cana-5424	128	8	equation	equation	NOUN
cana-5424	128	9	(	(	PUNCT
cana-5424	128	10	19	19	NUM
cana-5424	128	11	)	)	PUNCT
cana-5424	128	12	is	be	AUX
cana-5424	128	13	non	non	ADJ
cana-5424	128	14	-	-	ADJ
cana-5424	128	15	linear	linear	ADJ
cana-5424	128	16	in	in	ADP
cana-5424	128	17	nature	nature	NOUN
cana-5424	128	18	therefore	therefore	ADV
cana-5424	128	19	for	for	ADP
cana-5424	128	20	constant	constant	ADJ
cana-5424	128	21	positive	positive	ADJ
cana-5424	128	22	integer	integer	NOUN
cana-5424	128	23	µ	µ	NOUN
cana-5424	128	24	,	,	PUNCT
cana-5424	128	25	partial	partial	ADJ
cana-5424	128	26	derivative	derivative	NOUN
cana-5424	128	27	of	of	ADP
cana-5424	128	28	the	the	DET
cana-5424	128	29	cost	cost	NOUN
cana-5424	128	30	with	with	ADP
cana-5424	128	31	respect	respect	NOUN
cana-5424	128	32	to	to	ADP
cana-5424	128	33	q2	q2	NOUN
cana-5424	128	34	,	,	PUNCT
cana-5424	128	35	q1	q1	PROPN
cana-5424	128	36	,	,	PUNCT
cana-5424	128	37	δ	δ	PROPN
cana-5424	128	38	,	,	PUNCT
cana-5424	128	39	&	&	CCONJ
cana-5424	128	40	ζ	ζ	NOUN
cana-5424	128	41	is	be	AUX
cana-5424	128	42	taken	take	VERB
cana-5424	128	43	and	and	CCONJ
cana-5424	128	44	then	then	ADV
cana-5424	128	45	equated	equate	VERB
cana-5424	128	46	to	to	ADP
cana-5424	128	47	zero	zero	NUM
cana-5424	128	48	for	for	ADP
cana-5424	128	49	obtaining	obtain	VERB
cana-5424	128	50	the	the	DET
cana-5424	128	51	optimal	optimal	ADJ
cana-5424	128	52	solution	solution	NOUN
cana-5424	128	53	.	.	PUNCT
cana-5424	129	1	henceforth	henceforth	ADV
cana-5424	129	2	,	,	PUNCT
cana-5424	129	3	we	we	PRON
cana-5424	129	4	get	get	VERB
cana-5424	129	5	q∗2	q∗2	NOUN
cana-5424	129	6	=	=	PUNCT
cana-5424	130	1	√√√√	√√√√	PRON
cana-5424	130	2	sm	sm	PROPN
cana-5424	130	3	p	p	PROPN
cana-5424	130	4	d2	d2	PROPN
cana-5424	130	5	h	h	NOUN
cana-5424	130	6	2	2	NUM
cana-5424	130	7	(	(	PUNCT
cana-5424	130	8	1−	1−	NUM
cana-5424	130	9	d2	d2	PROPN
cana-5424	130	10	p2	p2	PROPN
cana-5424	130	11	)	)	PUNCT
cana-5424	130	12	(	(	PUNCT
cana-5424	130	13	18	18	NUM
cana-5424	130	14	)	)	PUNCT
cana-5424	130	15	q∗1	q∗1	NOUN
cana-5424	130	16	=	=	PUNCT
cana-5424	130	17	√√√√√−d1cl+	√√√√√−d1cl+	PROPN
cana-5424	130	18	sm	sm	VERB
cana-5424	130	19	c	c	NOUN
cana-5424	130	20	d1	d1	PROPN
cana-5424	130	21	+	+	CCONJ
cana-5424	130	22	ord1	ord1	VERB
cana-5424	130	23	+	+	CCONJ
cana-5424	130	24	νd1	νd1	NOUN
cana-5424	130	25	2	2	NUM
cana-5424	130	26	√	√	NOUN
cana-5424	130	27	σ2l	σ2l	NOUN
cana-5424	130	28	+	+	CCONJ
cana-5424	130	29	(	(	PUNCT
cana-5424	130	30	d1l)2	d1l)2	PROPN
cana-5424	130	31	+	+	CCONJ
cana-5424	130	32	δ2σ2l	δ2σ2l	NUM
cana-5424	130	33	−	−	PROPN
cana-5424	130	34	2d1lδσ	2d1lδσ	NUM
cana-5424	130	35	√	√	NUM
cana-5424	130	36	l	l	NOUN
cana-5424	131	1	+	+	CCONJ
cana-5424	131	2	d1l	d1l	PROPN
cana-5424	131	3	−	−	PROPN
cana-5424	131	4	δσ	δσ	PROPN
cana-5424	131	5	√	√	PROPN
cana-5424	131	6	l	l	NOUN
cana-5424	131	7	hrcb	hrcb	PROPN
cana-5424	132	1	+	+	CCONJ
cana-5424	132	2	hm	hm	INTJ
cana-5424	132	3	2	2	NUM
cana-5424	132	4	(	(	PUNCT
cana-5424	132	5	η	η	PROPN
cana-5424	132	6	(	(	PUNCT
cana-5424	132	7	1−	1−	NUM
cana-5424	132	8	d1	d1	PROPN
cana-5424	132	9	p1	p1	NOUN
cana-5424	132	10	)	)	PUNCT
cana-5424	132	11	−	−	ADP
cana-5424	133	1	1	1	NUM
cana-5424	133	2	+	+	CCONJ
cana-5424	133	3	2d1	2d1	NUM
cana-5424	133	4	p1	p1	NOUN
cana-5424	133	5	)	)	PUNCT
cana-5424	134	1	+	+	CCONJ
cana-5424	134	2	sd1ηζ	sd1ηζ	NUM
cana-5424	134	3	2	2	NUM
cana-5424	134	4	(	(	PUNCT
cana-5424	134	5	19	19	NUM
cana-5424	134	6	)	)	PUNCT
cana-5424	134	7	δ∗	δ∗	NOUN
cana-5424	134	8	=	=	SYM
cana-5424	134	9	(	(	PUNCT
cana-5424	134	10	−σ	−σ	NOUN
cana-5424	134	11	√	√	NUM
cana-5424	134	12	q1cbhr(−q1cbhr+νd1	q1cbhr(−q1cbhr+νd1	NUM
cana-5424	134	13	)	)	PUNCT
cana-5424	134	14	)	)	PUNCT
cana-5424	135	1	−q1cbhr+νd1	−q1cbhr+νd1	PROPN
cana-5424	135	2	+	+	CCONJ
cana-5424	135	3	d1νσ	d1νσ	PUNCT
cana-5424	135	4	√	√	PROPN
cana-5424	135	5	q1cbhr(−q1cbhr+νd1)l	q1cbhr(−q1cbhr+νd1)l	PROPN
cana-5424	135	6	2q1cbhr(νd1−q1cbhr	2q1cbhr(νd1−q1cbhr	NUM
cana-5424	135	7	)	)	PUNCT
cana-5424	135	8	+	+	CCONJ
cana-5424	135	9	ld1	ld1	VERB
cana-5424	135	10	√	√	INTJ
cana-5424	135	11	lσ	lσ	NOUN
cana-5424	135	12	(	(	PUNCT
cana-5424	135	13	20	20	NUM
cana-5424	135	14	)	)	PUNCT
cana-5424	135	15	ζ∗	ζ∗	PROPN
cana-5424	135	16	=	=	SYM
cana-5424	135	17	αb	αb	NOUN
cana-5424	135	18	sd1ηq1	sd1ηq1	NOUN
cana-5424	135	19	(	(	PUNCT
cana-5424	135	20	21	21	NUM
cana-5424	135	21	)	)	PUNCT
cana-5424	135	22	optimal	optimal	ADJ
cana-5424	135	23	solution	solution	NOUN
cana-5424	135	24	for	for	ADP
cana-5424	135	25	q∗1	q∗1	ADJ
cana-5424	135	26	,	,	PUNCT
cana-5424	135	27	q∗2	q∗2	PROPN
cana-5424	135	28	,	,	PUNCT
cana-5424	135	29	δ∗	δ∗	PROPN
cana-5424	135	30	,	,	PUNCT
cana-5424	135	31	ζ∗	ζ∗	PROPN
cana-5424	135	32	and	and	CCONJ
cana-5424	135	33	so	so	ADV
cana-5424	135	34	obtained	obtain	VERB
cana-5424	135	35	dependents	dependent	NOUN
cana-5424	135	36	upon	upon	SCONJ
cana-5424	135	37	each	each	DET
cana-5424	135	38	other	other	ADJ
cana-5424	135	39	.	.	PUNCT
cana-5424	136	1	moreover	moreover	ADV
cana-5424	136	2	,	,	PUNCT
cana-5424	136	3	it	it	PRON
cana-5424	136	4	is	be	AUX
cana-5424	136	5	difficult	difficult	ADJ
cana-5424	136	6	to	to	PART
cana-5424	136	7	evaluate	evaluate	VERB
cana-5424	136	8	the	the	DET
cana-5424	136	9	closed	closed	ADJ
cana-5424	136	10	-	-	PUNCT
cana-5424	136	11	form	form	NOUN
cana-5424	136	12	expression	expression	NOUN
cana-5424	136	13	for	for	ADP
cana-5424	136	14	the	the	DET
cana-5424	136	15	centralized	centralized	ADJ
cana-5424	136	16	total	total	ADJ
cana-5424	136	17	cost	cost	NOUN
cana-5424	136	18	function	function	NOUN
cana-5424	136	19	.	.	PUNCT
cana-5424	137	1	therefore	therefore	ADV
cana-5424	137	2	,	,	PUNCT
cana-5424	137	3	a	a	DET
cana-5424	137	4	numerical	numerical	ADJ
cana-5424	137	5	procedure	procedure	NOUN
cana-5424	137	6	is	be	AUX
cana-5424	137	7	required	require	VERB
cana-5424	137	8	for	for	ADP
cana-5424	137	9	evaluating	evaluate	VERB
cana-5424	137	10	these	these	DET
cana-5424	137	11	optimal	optimal	ADJ
cana-5424	137	12	values	value	NOUN
cana-5424	137	13	.	.	PUNCT
cana-5424	138	1	along	along	ADP
cana-5424	138	2	with	with	ADP
cana-5424	138	3	the	the	DET
cana-5424	138	4	following	follow	VERB
cana-5424	138	5	algorithm	algorithm	NOUN
cana-5424	138	6	an	an	DET
cana-5424	138	7	iteration	iteration	NOUN
cana-5424	138	8	method	method	NOUN
cana-5424	138	9	is	be	AUX
cana-5424	138	10	utilized	utilize	VERB
cana-5424	138	11	to	to	PART
cana-5424	138	12	find	find	VERB
cana-5424	138	13	the	the	DET
cana-5424	138	14	managerial	managerial	ADJ
cana-5424	138	15	decisions	decision	NOUN
cana-5424	138	16	.	.	PUNCT
cana-5424	139	1	2.3	2.3	NUM
cana-5424	139	2	.	.	PUNCT
cana-5424	139	3	analyzing	analyze	VERB
cana-5424	139	4	different	different	ADJ
cana-5424	139	5	pillars	pillar	NOUN
cana-5424	139	6	of	of	ADP
cana-5424	139	7	sustainability	sustainability	NOUN
cana-5424	139	8	in	in	ADP
cana-5424	139	9	single	single	ADJ
cana-5424	139	10	channel	channel	NOUN
cana-5424	139	11	2.3.1	2.3.1	NUM
cana-5424	139	12	environmental	environmental	ADJ
cana-5424	139	13	pillar	pillar	NOUN
cana-5424	139	14	1	1	X
cana-5424	139	15	.	.	PUNCT
cana-5424	140	1	co2	co2	NOUN
cana-5424	140	2	emissions	emission	NOUN
cana-5424	140	3	throughout	throughout	ADP
cana-5424	140	4	the	the	DET
cana-5424	140	5	production	production	NOUN
cana-5424	140	6	communications	communication	NOUN
cana-5424	140	7	on	on	ADP
cana-5424	140	8	applied	apply	VERB
cana-5424	140	9	nonlinear	nonlinear	ADJ
cana-5424	140	10	analysis	analysis	NOUN
cana-5424	140	11	issn	issn	NOUN
cana-5424	140	12	:	:	PUNCT
cana-5424	140	13	1074	1074	NUM
cana-5424	140	14	-	-	PUNCT
cana-5424	140	15	133x	133x	NUM
cana-5424	140	16	vol	vol	NOUN
cana-5424	140	17	32	32	NUM
cana-5424	140	18	no	no	NOUN
cana-5424	140	19	.	.	PUNCT
cana-5424	141	1	10s(2025	10s(2025	NUM
cana-5424	141	2	)	)	PUNCT
cana-5424	141	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	141	4	2239	2239	NUM
cana-5424	141	5	the	the	DET
cana-5424	141	6	aggregate	aggregate	NOUN
cana-5424	141	7	of	of	ADP
cana-5424	141	8	co2	co2	NOUN
cana-5424	141	9	emitted	emit	VERB
cana-5424	141	10	(	(	PUNCT
cana-5424	141	11	ton	ton	NOUN
cana-5424	141	12	/	/	SYM
cana-5424	141	13	unit	unit	NOUN
cana-5424	141	14	)	)	PUNCT
cana-5424	141	15	in	in	ADP
cana-5424	141	16	the	the	DET
cana-5424	141	17	production	production	NOUN
cana-5424	141	18	process	process	NOUN
cana-5424	141	19	is	be	AUX
cana-5424	141	20	:	:	PUNCT
cana-5424	141	21	e	e	X
cana-5424	141	22	=	=	SYM
cana-5424	141	23	e(p1	e(p1	NOUN
cana-5424	141	24	)	)	PUNCT
cana-5424	142	1	=	=	PUNCT
cana-5424	142	2	x1p	x1p	VERB
cana-5424	142	3	2	2	NUM
cana-5424	142	4	1	1	NUM
cana-5424	142	5	−	−	NOUN
cana-5424	142	6	x2p1	x2p1	PUNCT
cana-5424	143	1	+	+	CCONJ
cana-5424	143	2	x3	x3	ADJ
cana-5424	143	3	(	(	PUNCT
cana-5424	143	4	22	22	NUM
cana-5424	143	5	)	)	PUNCT
cana-5424	143	6	where	where	SCONJ
cana-5424	143	7	x1	x1	PROPN
cana-5424	143	8	,	,	PUNCT
cana-5424	143	9	x2	x2	PROPN
cana-5424	143	10	,	,	PUNCT
cana-5424	143	11	and	and	CCONJ
cana-5424	143	12	x3	x3	PROPN
cana-5424	143	13	can	can	AUX
cana-5424	143	14	be	be	AUX
cana-5424	143	15	experimentally	experimentally	ADV
cana-5424	143	16	verified	verify	VERB
cana-5424	143	17	from	from	ADP
cana-5424	143	18	bazan	bazan	PROPN
cana-5424	143	19	et	et	PROPN
cana-5424	143	20	al	al	PROPN
cana-5424	143	21	.	.	PROPN
cana-5424	144	1	(	(	PUNCT
cana-5424	144	2	2015	2015	NUM
cana-5424	144	3	)	)	PUNCT
cana-5424	144	4	.	.	PUNCT
cana-5424	145	1	the	the	DET
cana-5424	145	2	experiment	experiment	NOUN
cana-5424	145	3	gives	give	VERB
cana-5424	145	4	a	a	DET
cana-5424	145	5	way	way	NOUN
cana-5424	145	6	to	to	PART
cana-5424	145	7	understand	understand	VERB
cana-5424	145	8	how	how	SCONJ
cana-5424	145	9	operating	operate	VERB
cana-5424	145	10	a	a	DET
cana-5424	145	11	machine	machine	NOUN
cana-5424	145	12	tool	tool	NOUN
cana-5424	145	13	adds	add	VERB
cana-5424	145	14	a	a	DET
cana-5424	145	15	carbon	carbon	NOUN
cana-5424	145	16	emission	emission	NOUN
cana-5424	145	17	burden	burden	NOUN
cana-5424	145	18	and	and	CCONJ
cana-5424	145	19	gave	give	VERB
cana-5424	145	20	a	a	DET
cana-5424	145	21	quadratic	quadratic	ADJ
cana-5424	145	22	equation	equation	NOUN
cana-5424	145	23	(	(	PUNCT
cana-5424	145	24	24	24	NUM
cana-5424	145	25	)	)	PUNCT
cana-5424	145	26	reflecting	reflect	VERB
cana-5424	145	27	the	the	DET
cana-5424	145	28	equivalent	equivalent	ADJ
cana-5424	145	29	co2	co2	NOUN
cana-5424	145	30	emissions	emission	NOUN
cana-5424	145	31	.	.	PUNCT
cana-5424	146	1	therefore	therefore	ADV
cana-5424	146	2	,	,	PUNCT
cana-5424	146	3	the	the	DET
cana-5424	146	4	cost	cost	NOUN
cana-5424	146	5	of	of	ADP
cana-5424	146	6	the	the	DET
cana-5424	146	7	carbon	carbon	NOUN
cana-5424	146	8	exude	exude	NOUN
cana-5424	146	9	because	because	SCONJ
cana-5424	146	10	of	of	ADP
cana-5424	146	11	production	production	NOUN
cana-5424	146	12	is	be	AUX
cana-5424	146	13	given	give	VERB
cana-5424	146	14	as	as	ADP
cana-5424	146	15	ec1	ec1	PROPN
cana-5424	146	16	=	=	PROPN
cana-5424	146	17	ed1c	ed1c	PROPN
cana-5424	146	18	ec	ec	PROPN
cana-5424	146	19	(	(	PUNCT
cana-5424	146	20	23	23	NUM
cana-5424	146	21	)	)	PUNCT
cana-5424	146	22	2	2	NUM
cana-5424	146	23	.	.	NOUN
cana-5424	146	24	penalty	penalty	NOUN
cana-5424	146	25	because	because	SCONJ
cana-5424	146	26	of	of	ADP
cana-5424	146	27	excess	excess	NOUN
cana-5424	146	28	of	of	ADP
cana-5424	146	29	co2	co2	NOUN
cana-5424	146	30	emission	emission	NOUN
cana-5424	146	31	when	when	SCONJ
cana-5424	146	32	the	the	DET
cana-5424	146	33	carbon	carbon	NOUN
cana-5424	146	34	burden	burden	NOUN
cana-5424	146	35	from	from	ADP
cana-5424	146	36	the	the	DET
cana-5424	146	37	firm	firm	NOUN
cana-5424	146	38	surpasses	surpass	VERB
cana-5424	146	39	the	the	DET
cana-5424	146	40	predetermined	predetermine	VERB
cana-5424	146	41	ceiling	ceiling	NOUN
cana-5424	146	42	,	,	PUNCT
cana-5424	146	43	then	then	ADV
cana-5424	146	44	the	the	DET
cana-5424	146	45	penalty	penalty	NOUN
cana-5424	146	46	cost	cost	NOUN
cana-5424	146	47	is	be	AUX
cana-5424	146	48	collected	collect	VERB
cana-5424	146	49	from	from	ADP
cana-5424	146	50	it	it	PRON
cana-5424	146	51	.	.	PUNCT
cana-5424	147	1	thus	thus	ADV
cana-5424	147	2	,	,	PUNCT
cana-5424	147	3	the	the	DET
cana-5424	147	4	penalty	penalty	NOUN
cana-5424	147	5	cost	cost	NOUN
cana-5424	147	6	as	as	ADP
cana-5424	147	7	a	a	DET
cana-5424	147	8	consequence	consequence	NOUN
cana-5424	147	9	of	of	ADP
cana-5424	147	10	carbon	carbon	NOUN
cana-5424	147	11	emission	emission	NOUN
cana-5424	147	12	is	be	AUX
cana-5424	147	13	given	give	VERB
cana-5424	147	14	as	as	ADP
cana-5424	147	15	ec2	ec2	PROPN
cana-5424	147	16	=	=	SYM
cana-5424	147	17	l∑	l∑	PROPN
cana-5424	147	18	i=1	i=1	PROPN
cana-5424	147	19	yicep	yicep	VERB
cana-5424	147	20	,	,	PUNCT
cana-5424	147	21	i	i	PRON
cana-5424	147	22	(	(	PUNCT
cana-5424	147	23	24	24	NUM
cana-5424	147	24	)	)	PUNCT
cana-5424	147	25	where	where	SCONJ
cana-5424	147	26	yi	yi	NOUN
cana-5424	147	27	=	=	PUNCT
cana-5424	147	28	{	{	PUNCT
cana-5424	147	29	1	1	NUM
cana-5424	147	30	ed1	ed1	PROPN
cana-5424	147	31	>	>	X
cana-5424	147	32	eli	eli	PROPN
cana-5424	147	33	(	(	PUNCT
cana-5424	147	34	i	i	NOUN
cana-5424	147	35	=	=	NOUN
cana-5424	147	36	1	1	NUM
cana-5424	147	37	,	,	PUNCT
cana-5424	147	38	2	2	NUM
cana-5424	147	39	,	,	PUNCT
cana-5424	147	40	...	...	PUNCT
cana-5424	147	41	,	,	PUNCT
cana-5424	147	42	l	l	NOUN
cana-5424	147	43	)	)	PUNCT
cana-5424	147	44	0	0	PUNCT
cana-5424	148	1	otherwise	otherwise	ADV
cana-5424	148	2	(	(	PUNCT
cana-5424	148	3	25	25	NUM
cana-5424	148	4	)	)	PUNCT
cana-5424	148	5	2.3.2	2.3.2	NUM
cana-5424	148	6	social	social	ADJ
cana-5424	148	7	pillar	pillar	NOUN
cana-5424	148	8	cumulative	cumulative	ADJ
cana-5424	148	9	social	social	ADJ
cana-5424	148	10	cost	cost	NOUN
cana-5424	148	11	as	as	ADP
cana-5424	148	12	a	a	DET
cana-5424	148	13	result	result	NOUN
cana-5424	148	14	of	of	ADP
cana-5424	148	15	hard	hard	ADJ
cana-5424	148	16	labor	labor	NOUN
cana-5424	148	17	,	,	PUNCT
cana-5424	148	18	medical	medical	ADJ
cana-5424	148	19	maintenance	maintenance	NOUN
cana-5424	148	20	,	,	PUNCT
cana-5424	148	21	welfare	welfare	NOUN
cana-5424	148	22	,	,	PUNCT
cana-5424	148	23	and	and	CCONJ
cana-5424	148	24	social	social	ADJ
cana-5424	148	25	consciousness	consciousness	NOUN
cana-5424	148	26	(	(	PUNCT
cana-5424	148	27	khan	khan	PROPN
cana-5424	148	28	et	et	PROPN
cana-5424	148	29	al	al	PROPN
cana-5424	148	30	.	.	PROPN
cana-5424	148	31	,	,	PUNCT
cana-5424	148	32	2016	2016	NUM
cana-5424	148	33	)	)	PUNCT
cana-5424	148	34	for	for	ADP
cana-5424	148	35	single	single	ADJ
cana-5424	148	36	channel	channel	NOUN
cana-5424	148	37	supply	supply	NOUN
cana-5424	148	38	chain	chain	NOUN
cana-5424	148	39	model	model	NOUN
cana-5424	148	40	,	,	PUNCT
cana-5424	148	41	is	be	AUX
cana-5424	148	42	sc1	sc1	NOUN
cana-5424	148	43	=	=	SYM
cana-5424	148	44	ηs1q1	ηs1q1	PROPN
cana-5424	148	45	(	(	PUNCT
cana-5424	148	46	26	26	NUM
cana-5424	148	47	)	)	PUNCT
cana-5424	148	48	therefore	therefore	ADV
cana-5424	148	49	,	,	PUNCT
cana-5424	148	50	for	for	SCONJ
cana-5424	148	51	the	the	DET
cana-5424	148	52	supply	supply	NOUN
cana-5424	148	53	chain	chain	NOUN
cana-5424	148	54	having	have	VERB
cana-5424	148	55	a	a	DET
cana-5424	148	56	centralized	centralized	ADJ
cana-5424	148	57	policy	policy	NOUN
cana-5424	148	58	and	and	CCONJ
cana-5424	148	59	following	follow	VERB
cana-5424	148	60	a	a	DET
cana-5424	148	61	single	single	ADJ
cana-5424	148	62	route	route	NOUN
cana-5424	148	63	,	,	PUNCT
cana-5424	148	64	the	the	DET
cana-5424	148	65	expected	expect	VERB
cana-5424	148	66	aggregate	aggregate	ADJ
cana-5424	148	67	cost	cost	NOUN
cana-5424	148	68	tcs	tcs	NOUN
cana-5424	148	69	is	be	AUX
cana-5424	148	70	tcs	tcs	NOUN
cana-5424	148	71	=	=	PUNCT
cana-5424	148	72	ord1	ord1	PROPN
cana-5424	148	73	q1	q1	PROPN
cana-5424	148	74	+	+	CCONJ
cana-5424	148	75	hrcb	hrcb	PROPN
cana-5424	148	76	(	(	PUNCT
cana-5424	148	77	q1	q1	PROPN
cana-5424	148	78	2	2	NUM
cana-5424	148	79	+	+	NUM
cana-5424	148	80	δσ	δσ	PROPN
cana-5424	149	1	√	√	PROPN
cana-5424	149	2	l	l	NOUN
cana-5424	149	3	)	)	PUNCT
cana-5424	150	1	+	+	CCONJ
cana-5424	150	2	d1cl	d1cl	NUM
cana-5424	150	3	q1	q1	NOUN
cana-5424	150	4	+	+	CCONJ
cana-5424	150	5	νd1	νd1	NOUN
cana-5424	150	6	2q1	2q1	NUM
cana-5424	151	1	[	[	X
cana-5424	151	2	√	√	PUNCT
cana-5424	151	3	σ2l	σ2l	NOUN
cana-5424	151	4	+	+	CCONJ
cana-5424	151	5	(	(	PUNCT
cana-5424	151	6	d1l)2	d1l)2	PROPN
cana-5424	151	7	+	+	CCONJ
cana-5424	151	8	δ2σ2l	δ2σ2l	NUM
cana-5424	151	9	−	−	PROPN
cana-5424	151	10	2d1lδσ	2d1lδσ	NUM
cana-5424	152	1	√	√	NUM
cana-5424	152	2	l	l	NOUN
cana-5424	153	1	+	+	CCONJ
cana-5424	153	2	(	(	PUNCT
cana-5424	153	3	d1l	d1l	PROPN
cana-5424	153	4	−	−	PROPN
cana-5424	153	5	δσ	δσ	PROPN
cana-5424	153	6	√	√	NUM
cana-5424	153	7	l	l	NOUN
cana-5424	153	8	)	)	PUNCT
cana-5424	153	9	]	]	PUNCT
cana-5424	154	1	+	+	CCONJ
cana-5424	154	2	sm	sm	X
cana-5424	154	3	c	c	NOUN
cana-5424	154	4	d1	d1	NOUN
cana-5424	154	5	q1η	q1η	NOUN
cana-5424	154	6	+	+	CCONJ
cana-5424	154	7	hmq1	hmq1	PROPN
cana-5424	154	8	2	2	NUM
cana-5424	154	9	[	[	PUNCT
cana-5424	154	10	η	η	X
cana-5424	154	11	(	(	PUNCT
cana-5424	154	12	1−	1−	NUM
cana-5424	154	13	d1	d1	PROPN
cana-5424	154	14	p1	p1	NOUN
cana-5424	154	15	)	)	PUNCT
cana-5424	154	16	−	−	ADP
cana-5424	154	17	1	1	NUM
cana-5424	155	1	+	+	CCONJ
cana-5424	155	2	2d1	2d1	NUM
cana-5424	155	3	p1	p1	NOUN
cana-5424	155	4	]	]	PUNCT
cana-5424	156	1	+	+	NUM
cana-5424	156	2	cvrd1	cvrd1	NOUN
cana-5424	156	3	+	+	X
cana-5424	156	4	sd1ηq1ζ	sd1ηq1ζ	X
cana-5424	156	5	2	2	NUM
cana-5424	156	6	+	+	CCONJ
cana-5424	156	7	αb(ln	αb(ln	PROPN
cana-5424	156	8	ζ0	ζ0	NOUN
cana-5424	156	9	−	−	PROPN
cana-5424	156	10	ln	ln	ADJ
cana-5424	156	11	ζ	ζ	NOUN
cana-5424	156	12	)	)	PUNCT
cana-5424	156	13	+	+	NUM
cana-5424	156	14	ed1cec	ed1cec	PROPN
cana-5424	157	1	+	+	CCONJ
cana-5424	157	2	l∑	l∑	X
cana-5424	157	3	i=1	i=1	PROPN
cana-5424	157	4	yicep	yicep	VERB
cana-5424	157	5	,	,	PUNCT
cana-5424	157	6	i	i	PRON
cana-5424	157	7	+	+	CCONJ
cana-5424	157	8	ηs1q1	ηs1q1	PROPN
cana-5424	157	9	(	(	PUNCT
cana-5424	157	10	27	27	NUM
cana-5424	157	11	)	)	PUNCT
cana-5424	157	12	2.4	2.4	NUM
cana-5424	157	13	.	.	PUNCT
cana-5424	158	1	analyzing	analyze	VERB
cana-5424	158	2	different	different	ADJ
cana-5424	158	3	pillars	pillar	NOUN
cana-5424	158	4	of	of	ADP
cana-5424	158	5	sustainability	sustainability	NOUN
cana-5424	158	6	in	in	ADP
cana-5424	158	7	dual	dual	ADJ
cana-5424	158	8	channel	channel	NOUN
cana-5424	158	9	2.4.1	2.4.1	NUM
cana-5424	158	10	environmental	environmental	ADJ
cana-5424	158	11	pillar	pillar	NOUN
cana-5424	158	12	1	1	X
cana-5424	158	13	.	.	PUNCT
cana-5424	159	1	co2	co2	NOUN
cana-5424	159	2	emissions	emission	NOUN
cana-5424	159	3	throughout	throughout	ADP
cana-5424	159	4	the	the	DET
cana-5424	159	5	production	production	NOUN
cana-5424	159	6	.	.	PUNCT
cana-5424	160	1	communications	communication	NOUN
cana-5424	160	2	on	on	ADP
cana-5424	160	3	applied	apply	VERB
cana-5424	160	4	nonlinear	nonlinear	ADJ
cana-5424	160	5	analysis	analysis	NOUN
cana-5424	160	6	issn	issn	NOUN
cana-5424	160	7	:	:	PUNCT
cana-5424	160	8	1074	1074	NUM
cana-5424	160	9	-	-	PUNCT
cana-5424	160	10	133x	133x	NUM
cana-5424	160	11	vol	vol	NOUN
cana-5424	160	12	32	32	NUM
cana-5424	160	13	no	no	NOUN
cana-5424	160	14	.	.	PUNCT
cana-5424	161	1	10s(2025	10s(2025	NUM
cana-5424	161	2	)	)	PUNCT
cana-5424	161	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	161	4	2240	2240	NUM
cana-5424	161	5	the	the	DET
cana-5424	161	6	aggregate	aggregate	NOUN
cana-5424	161	7	of	of	ADP
cana-5424	161	8	co2	co2	NOUN
cana-5424	161	9	emitted	emit	VERB
cana-5424	161	10	(	(	PUNCT
cana-5424	161	11	ton	ton	NOUN
cana-5424	161	12	/	/	SYM
cana-5424	161	13	unit	unit	NOUN
cana-5424	161	14	)	)	PUNCT
cana-5424	161	15	in	in	ADP
cana-5424	161	16	the	the	DET
cana-5424	161	17	production	production	NOUN
cana-5424	161	18	process	process	NOUN
cana-5424	161	19	is	be	AUX
cana-5424	161	20	:	:	PUNCT
cana-5424	161	21	e	e	X
cana-5424	161	22	′	′	NUM
cana-5424	161	23	=	=	SYM
cana-5424	161	24	e(p	e(p	NOUN
cana-5424	161	25	)	)	PUNCT
cana-5424	162	1	=	=	PUNCT
cana-5424	162	2	x1p	x1p	VERB
cana-5424	162	3	2	2	NUM
cana-5424	162	4	−	−	NOUN
cana-5424	162	5	x2p	x2p	PUNCT
cana-5424	163	1	+	+	CCONJ
cana-5424	163	2	x3	x3	ADJ
cana-5424	163	3	(	(	PUNCT
cana-5424	163	4	28	28	NUM
cana-5424	163	5	)	)	PUNCT
cana-5424	163	6	where	where	SCONJ
cana-5424	163	7	x1	x1	PROPN
cana-5424	163	8	,	,	PUNCT
cana-5424	163	9	x2	x2	PROPN
cana-5424	163	10	,	,	PUNCT
cana-5424	163	11	and	and	CCONJ
cana-5424	163	12	x3	x3	PROPN
cana-5424	163	13	can	can	AUX
cana-5424	163	14	be	be	AUX
cana-5424	163	15	experimentally	experimentally	ADV
cana-5424	163	16	verified	verify	VERB
cana-5424	163	17	from	from	ADP
cana-5424	163	18	bazan	bazan	PROPN
cana-5424	163	19	et	et	PROPN
cana-5424	163	20	al	al	PROPN
cana-5424	163	21	.	.	PROPN
cana-5424	164	1	(	(	PUNCT
cana-5424	164	2	2015	2015	NUM
cana-5424	164	3	)	)	PUNCT
cana-5424	164	4	.	.	PUNCT
cana-5424	165	1	the	the	DET
cana-5424	165	2	experiment	experiment	NOUN
cana-5424	165	3	gives	give	VERB
cana-5424	165	4	a	a	DET
cana-5424	165	5	way	way	NOUN
cana-5424	165	6	to	to	PART
cana-5424	165	7	understand	understand	VERB
cana-5424	165	8	how	how	SCONJ
cana-5424	165	9	operating	operate	VERB
cana-5424	165	10	a	a	DET
cana-5424	165	11	machine	machine	NOUN
cana-5424	165	12	tool	tool	NOUN
cana-5424	165	13	adds	add	VERB
cana-5424	165	14	a	a	DET
cana-5424	165	15	carbon	carbon	NOUN
cana-5424	165	16	emission	emission	NOUN
cana-5424	165	17	burden	burden	NOUN
cana-5424	165	18	and	and	CCONJ
cana-5424	165	19	gave	give	VERB
cana-5424	165	20	a	a	DET
cana-5424	165	21	quadratic	quadratic	ADJ
cana-5424	165	22	equation	equation	NOUN
cana-5424	165	23	(	(	PUNCT
cana-5424	165	24	30	30	NUM
cana-5424	165	25	)	)	PUNCT
cana-5424	165	26	reflecting	reflect	VERB
cana-5424	165	27	the	the	DET
cana-5424	165	28	equivalent	equivalent	ADJ
cana-5424	165	29	co2	co2	NOUN
cana-5424	165	30	emissions	emission	NOUN
cana-5424	165	31	.	.	PUNCT
cana-5424	166	1	moreover	moreover	ADV
cana-5424	166	2	,	,	PUNCT
cana-5424	166	3	it	it	PRON
cana-5424	166	4	also	also	ADV
cana-5424	166	5	reflects	reflect	VERB
cana-5424	166	6	that	that	SCONJ
cana-5424	166	7	increased	increase	VERB
cana-5424	166	8	cutting	cut	VERB
cana-5424	166	9	speed	speed	NOUN
cana-5424	166	10	converts	convert	NOUN
cana-5424	166	11	tool	tool	NOUN
cana-5424	166	12	wears	wear	VERB
cana-5424	166	13	into	into	ADP
cana-5424	166	14	considerable	considerable	ADJ
cana-5424	166	15	lofty	lofty	NOUN
cana-5424	166	16	which	which	PRON
cana-5424	166	17	shortens	shorten	VERB
cana-5424	166	18	its	its	PRON
cana-5424	166	19	life	life	NOUN
cana-5424	166	20	span	span	NOUN
cana-5424	166	21	and	and	CCONJ
cana-5424	166	22	elevates	elevate	VERB
cana-5424	166	23	co2	co2	NOUN
cana-5424	166	24	emissions	emission	NOUN
cana-5424	166	25	.	.	PUNCT
cana-5424	167	1	further	far	ADV
cana-5424	167	2	,	,	PUNCT
cana-5424	167	3	there	there	PRON
cana-5424	167	4	is	be	VERB
cana-5424	167	5	also	also	ADV
cana-5424	167	6	a	a	DET
cana-5424	167	7	trade	trade	NOUN
cana-5424	167	8	relation	relation	NOUN
cana-5424	167	9	with	with	ADP
cana-5424	167	10	the	the	DET
cana-5424	167	11	cutting	cut	VERB
cana-5424	167	12	speed	speed	NOUN
cana-5424	167	13	as	as	ADP
cana-5424	167	14	carbon	carbon	NOUN
cana-5424	167	15	stress	stress	NOUN
cana-5424	167	16	build	build	NOUN
cana-5424	167	17	-	-	PUNCT
cana-5424	167	18	up	up	NOUN
cana-5424	167	19	by	by	ADP
cana-5424	167	20	electricity	electricity	NOUN
cana-5424	167	21	utilization	utilization	NOUN
cana-5424	167	22	and	and	CCONJ
cana-5424	167	23	the	the	DET
cana-5424	167	24	cooling	cool	VERB
cana-5424	167	25	liquid	liquid	NOUN
cana-5424	167	26	is	be	AUX
cana-5424	167	27	comparable	comparable	ADJ
cana-5424	167	28	with	with	ADP
cana-5424	167	29	time	time	NOUN
cana-5424	167	30	.	.	PUNCT
cana-5424	168	1	the	the	DET
cana-5424	168	2	quadratic	quadratic	ADJ
cana-5424	168	3	equation	equation	NOUN
cana-5424	168	4	(	(	PUNCT
cana-5424	168	5	30	30	NUM
cana-5424	168	6	)	)	PUNCT
cana-5424	168	7	manifests	manifest	VERB
cana-5424	168	8	the	the	DET
cana-5424	168	9	behavior	behavior	NOUN
cana-5424	168	10	of	of	ADP
cana-5424	168	11	the	the	DET
cana-5424	168	12	corresponding	corresponding	ADJ
cana-5424	168	13	carbon	carbon	NOUN
cana-5424	168	14	ejection	ejection	NOUN
cana-5424	168	15	.	.	PUNCT
cana-5424	169	1	therefore	therefore	ADV
cana-5424	169	2	,	,	PUNCT
cana-5424	169	3	the	the	DET
cana-5424	169	4	cost	cost	NOUN
cana-5424	169	5	of	of	ADP
cana-5424	169	6	the	the	DET
cana-5424	169	7	carbon	carbon	NOUN
cana-5424	169	8	exude	exude	NOUN
cana-5424	169	9	because	because	SCONJ
cana-5424	169	10	of	of	ADP
cana-5424	169	11	production	production	NOUN
cana-5424	169	12	is	be	AUX
cana-5424	169	13	given	give	VERB
cana-5424	169	14	as	as	ADP
cana-5424	169	15	ec	ec	PROPN
cana-5424	169	16	′	′	NOUN
cana-5424	169	17	1	1	NUM
cana-5424	169	18	=	=	SYM
cana-5424	169	19	e	e	NOUN
cana-5424	169	20	′dcec	′dcec	NOUN
cana-5424	169	21	(	(	PUNCT
cana-5424	169	22	29	29	NUM
cana-5424	169	23	)	)	SYM
cana-5424	169	24	2	2	NUM
cana-5424	169	25	.	.	X
cana-5424	169	26	penalty	penalty	NOUN
cana-5424	169	27	on	on	ADP
cana-5424	169	28	firm	firm	NOUN
cana-5424	169	29	because	because	SCONJ
cana-5424	169	30	of	of	ADP
cana-5424	169	31	excess	excess	NOUN
cana-5424	169	32	of	of	ADP
cana-5424	169	33	co2	co2	NOUN
cana-5424	169	34	emission	emission	NOUN
cana-5424	169	35	when	when	SCONJ
cana-5424	169	36	the	the	DET
cana-5424	169	37	carbon	carbon	NOUN
cana-5424	169	38	burden	burden	NOUN
cana-5424	169	39	from	from	ADP
cana-5424	169	40	the	the	DET
cana-5424	169	41	firm	firm	NOUN
cana-5424	169	42	surpasses	surpass	VERB
cana-5424	169	43	the	the	DET
cana-5424	169	44	predetermined	predetermine	VERB
cana-5424	169	45	ceiling	ceiling	NOUN
cana-5424	169	46	then	then	ADV
cana-5424	169	47	the	the	DET
cana-5424	169	48	penalty	penalty	NOUN
cana-5424	169	49	cost	cost	NOUN
cana-5424	169	50	is	be	AUX
cana-5424	169	51	collected	collect	VERB
cana-5424	169	52	from	from	ADP
cana-5424	169	53	it	it	PRON
cana-5424	169	54	.	.	PUNCT
cana-5424	170	1	thus	thus	ADV
cana-5424	170	2	,	,	PUNCT
cana-5424	170	3	the	the	DET
cana-5424	170	4	penalty	penalty	NOUN
cana-5424	170	5	cost	cost	NOUN
cana-5424	170	6	as	as	ADP
cana-5424	170	7	a	a	DET
cana-5424	170	8	consequence	consequence	NOUN
cana-5424	170	9	of	of	ADP
cana-5424	170	10	carbon	carbon	NOUN
cana-5424	170	11	emission	emission	NOUN
cana-5424	170	12	is	be	AUX
cana-5424	170	13	given	give	VERB
cana-5424	170	14	as	as	ADP
cana-5424	170	15	ec	ec	PROPN
cana-5424	170	16	′	′	NUM
cana-5424	170	17	2	2	NUM
cana-5424	171	1	=	=	SYM
cana-5424	171	2	l∑	l∑	PROPN
cana-5424	171	3	i=1	i=1	PROPN
cana-5424	172	1	yicep	yicep	VERB
cana-5424	172	2	,	,	PUNCT
cana-5424	172	3	i	i	PRON
cana-5424	172	4	(	(	PUNCT
cana-5424	172	5	30	30	NUM
cana-5424	172	6	)	)	PUNCT
cana-5424	172	7	where	where	SCONJ
cana-5424	172	8	yi	yi	NOUN
cana-5424	172	9	=	=	PUNCT
cana-5424	172	10	{	{	PUNCT
cana-5424	172	11	1	1	NUM
cana-5424	172	12	e	e	X
cana-5424	172	13	′d	′d	ADP
cana-5424	172	14	>	>	X
cana-5424	172	15	eli	eli	PROPN
cana-5424	172	16	(	(	PUNCT
cana-5424	172	17	i	i	NOUN
cana-5424	172	18	=	=	NOUN
cana-5424	172	19	1	1	NUM
cana-5424	172	20	,	,	PUNCT
cana-5424	172	21	2	2	NUM
cana-5424	172	22	,	,	PUNCT
cana-5424	172	23	...	...	PUNCT
cana-5424	172	24	,	,	PUNCT
cana-5424	172	25	l	l	NOUN
cana-5424	172	26	)	)	PUNCT
cana-5424	172	27	0	0	PUNCT
cana-5424	173	1	otherwise	otherwise	ADV
cana-5424	173	2	(	(	PUNCT
cana-5424	173	3	31	31	NUM
cana-5424	173	4	)	)	PUNCT
cana-5424	173	5	2.4.2	2.4.2	NUM
cana-5424	173	6	social	social	ADJ
cana-5424	173	7	pillar	pillar	NOUN
cana-5424	173	8	cumulative	cumulative	ADJ
cana-5424	173	9	social	social	ADJ
cana-5424	173	10	cost	cost	NOUN
cana-5424	173	11	as	as	ADP
cana-5424	173	12	a	a	DET
cana-5424	173	13	result	result	NOUN
cana-5424	173	14	of	of	ADP
cana-5424	173	15	hard	hard	ADJ
cana-5424	173	16	labor	labor	NOUN
cana-5424	173	17	,	,	PUNCT
cana-5424	173	18	medical	medical	ADJ
cana-5424	173	19	maintenance	maintenance	NOUN
cana-5424	173	20	,	,	PUNCT
cana-5424	173	21	welfare	welfare	NOUN
cana-5424	173	22	,	,	PUNCT
cana-5424	173	23	and	and	CCONJ
cana-5424	173	24	social	social	ADJ
cana-5424	173	25	consciousness	consciousness	NOUN
cana-5424	173	26	(	(	PUNCT
cana-5424	173	27	khan	khan	PROPN
cana-5424	173	28	et	et	PROPN
cana-5424	173	29	al	al	PROPN
cana-5424	173	30	.	.	PROPN
cana-5424	173	31	,	,	PUNCT
cana-5424	173	32	2016	2016	NUM
cana-5424	173	33	)	)	PUNCT
cana-5424	173	34	for	for	ADP
cana-5424	173	35	supply	supply	NOUN
cana-5424	173	36	chain	chain	NOUN
cana-5424	173	37	model	model	NOUN
cana-5424	173	38	following	follow	VERB
cana-5424	173	39	dual	dual	ADJ
cana-5424	173	40	route	route	NOUN
cana-5424	173	41	,	,	PUNCT
cana-5424	173	42	is	be	AUX
cana-5424	173	43	sc1	sc1	PROPN
cana-5424	173	44	=	=	PROPN
cana-5424	173	45	η	η	PROPN
cana-5424	173	46	(	(	PUNCT
cana-5424	173	47	s1q1	s1q1	PROPN
cana-5424	173	48	+	+	NUM
cana-5424	173	49	s2q2	s2q2	NOUN
cana-5424	173	50	)	)	PUNCT
cana-5424	173	51	(	(	PUNCT
cana-5424	173	52	32	32	NUM
cana-5424	173	53	)	)	PUNCT
cana-5424	173	54	therefore	therefore	ADV
cana-5424	173	55	,	,	PUNCT
cana-5424	173	56	for	for	SCONJ
cana-5424	173	57	the	the	DET
cana-5424	173	58	supply	supply	NOUN
cana-5424	173	59	chain	chain	NOUN
cana-5424	173	60	having	have	VERB
cana-5424	173	61	a	a	DET
cana-5424	173	62	centralized	centralized	ADJ
cana-5424	173	63	policy	policy	NOUN
cana-5424	173	64	and	and	CCONJ
cana-5424	173	65	following	follow	VERB
cana-5424	173	66	a	a	DET
cana-5424	173	67	dual	dual	ADJ
cana-5424	173	68	route	route	NOUN
cana-5424	173	69	,	,	PUNCT
cana-5424	173	70	the	the	DET
cana-5424	173	71	expected	expect	VERB
cana-5424	173	72	aggregate	aggregate	ADJ
cana-5424	173	73	cost	cost	NOUN
cana-5424	173	74	tcd	tcd	NOUN
cana-5424	173	75	is	be	AUX
cana-5424	173	76	communications	communication	NOUN
cana-5424	173	77	on	on	ADP
cana-5424	173	78	applied	apply	VERB
cana-5424	173	79	nonlinear	nonlinear	ADJ
cana-5424	173	80	analysis	analysis	NOUN
cana-5424	173	81	issn	issn	NOUN
cana-5424	173	82	:	:	PUNCT
cana-5424	173	83	1074	1074	NUM
cana-5424	173	84	-	-	PUNCT
cana-5424	173	85	133x	133x	NUM
cana-5424	173	86	vol	vol	NOUN
cana-5424	173	87	32	32	NUM
cana-5424	173	88	no	no	NOUN
cana-5424	173	89	.	.	PUNCT
cana-5424	174	1	10s(2025	10s(2025	NUM
cana-5424	174	2	)	)	PUNCT
cana-5424	174	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	174	4	2241	2241	NUM
cana-5424	174	5	tcd	tcd	NOUN
cana-5424	174	6	=	=	PROPN
cana-5424	175	1	sm	sm	PROPN
cana-5424	175	2	c	c	NOUN
cana-5424	175	3	d1	d1	NOUN
cana-5424	175	4	q1η	q1η	NOUN
cana-5424	175	5	+	+	CCONJ
cana-5424	175	6	hmq1	hmq1	PROPN
cana-5424	175	7	2	2	NUM
cana-5424	175	8	[	[	PUNCT
cana-5424	175	9	η	η	X
cana-5424	175	10	(	(	PUNCT
cana-5424	175	11	1−	1−	NUM
cana-5424	175	12	d1	d1	PROPN
cana-5424	175	13	p1	p1	NOUN
cana-5424	175	14	)	)	PUNCT
cana-5424	175	15	−	−	ADP
cana-5424	176	1	1	1	NUM
cana-5424	176	2	+	+	CCONJ
cana-5424	176	3	2d1	2d1	NUM
cana-5424	176	4	p1	p1	NOUN
cana-5424	176	5	]	]	PUNCT
cana-5424	176	6	+	+	NUM
cana-5424	176	7	cvrd1	cvrd1	NOUN
cana-5424	176	8	+	+	X
cana-5424	176	9	sd1ηq1ζ	sd1ηq1ζ	X
cana-5424	176	10	2	2	NUM
cana-5424	176	11	+	+	CCONJ
cana-5424	176	12	αb(ln	αb(ln	PROPN
cana-5424	176	13	ζ0	ζ0	NOUN
cana-5424	176	14	−	−	PROPN
cana-5424	176	15	ln	ln	ADJ
cana-5424	176	16	ζ	ζ	NOUN
cana-5424	176	17	)	)	PUNCT
cana-5424	176	18	+	+	NUM
cana-5424	176	19	ord1	ord1	PROPN
cana-5424	176	20	q1	q1	PROPN
cana-5424	176	21	+	+	CCONJ
cana-5424	176	22	hrcb	hrcb	PROPN
cana-5424	176	23	(	(	PUNCT
cana-5424	176	24	q1	q1	PROPN
cana-5424	176	25	2	2	NUM
cana-5424	176	26	+	+	NUM
cana-5424	176	27	δσ	δσ	PROPN
cana-5424	176	28	√	√	PROPN
cana-5424	176	29	l	l	NOUN
cana-5424	176	30	)	)	PUNCT
cana-5424	177	1	+	+	CCONJ
cana-5424	177	2	d1cl	d1cl	NUM
cana-5424	177	3	q1	q1	NOUN
cana-5424	177	4	+	+	CCONJ
cana-5424	177	5	νd1	νd1	NOUN
cana-5424	177	6	2q1	2q1	NUM
cana-5424	178	1	[	[	X
cana-5424	178	2	√	√	PUNCT
cana-5424	178	3	σ2l	σ2l	NOUN
cana-5424	178	4	+	+	CCONJ
cana-5424	178	5	(	(	PUNCT
cana-5424	178	6	d1l)2	d1l)2	PROPN
cana-5424	178	7	+	+	CCONJ
cana-5424	178	8	δ2σ2l	δ2σ2l	NUM
cana-5424	178	9	−	−	PROPN
cana-5424	178	10	2d1lδσ	2d1lδσ	NUM
cana-5424	179	1	√	√	NUM
cana-5424	179	2	l	l	NOUN
cana-5424	180	1	+	+	CCONJ
cana-5424	180	2	(	(	PUNCT
cana-5424	180	3	d1l	d1l	PROPN
cana-5424	180	4	−	−	PROPN
cana-5424	180	5	δσ	δσ	PROPN
cana-5424	180	6	√	√	NUM
cana-5424	180	7	l	l	NOUN
cana-5424	180	8	)	)	PUNCT
cana-5424	180	9	]	]	PUNCT
cana-5424	181	1	+	+	CCONJ
cana-5424	181	2	sm	sm	PROPN
cana-5424	181	3	p	p	PROPN
cana-5424	181	4	d2	d2	PROPN
cana-5424	181	5	q2	q2	NOUN
cana-5424	181	6	+	+	CCONJ
cana-5424	181	7	(	(	PUNCT
cana-5424	181	8	hq2	hq2	ADJ
cana-5424	181	9	2	2	NUM
cana-5424	181	10	)	)	PUNCT
cana-5424	181	11	(	(	PUNCT
cana-5424	181	12	1−	1−	NUM
cana-5424	181	13	d2	d2	NOUN
cana-5424	181	14	p2	p2	PROPN
cana-5424	181	15	)	)	PUNCT
cana-5424	182	1	+	+	CCONJ
cana-5424	182	2	k∑	k∑	X
cana-5424	182	3	j=1	j=1	ADJ
cana-5424	182	4	cjψid2	cjψid2	PROPN
cana-5424	183	1	+	+	CCONJ
cana-5424	183	2	e	e	X
cana-5424	183	3	′dcec	′dcec	NOUN
cana-5424	183	4	+	+	CCONJ
cana-5424	183	5	l∑	l∑	X
cana-5424	183	6	i=1	i=1	PROPN
cana-5424	183	7	yicep	yicep	VERB
cana-5424	183	8	,	,	PUNCT
cana-5424	183	9	i	i	PROPN
cana-5424	183	10	+	+	CCONJ
cana-5424	183	11	η(s1q1	η(s1q1	NOUN
cana-5424	183	12	+	+	CCONJ
cana-5424	183	13	s2q2	s2q2	NOUN
cana-5424	183	14	)	)	PUNCT
cana-5424	183	15	(	(	PUNCT
cana-5424	183	16	33	33	NUM
cana-5424	183	17	)	)	PUNCT
cana-5424	183	18	2.5	2.5	NUM
cana-5424	183	19	.	.	PUNCT
cana-5424	184	1	solution	solution	NOUN
cana-5424	184	2	algorithm	algorithm	NOUN
cana-5424	184	3	to	to	PART
cana-5424	184	4	solve	solve	VERB
cana-5424	184	5	the	the	DET
cana-5424	184	6	current	current	ADJ
cana-5424	184	7	model	model	NOUN
cana-5424	184	8	succeeding	succeed	VERB
cana-5424	184	9	arv	arv	NOUN
cana-5424	184	10	algorithm	algorithm	NOUN
cana-5424	184	11	is	be	AUX
cana-5424	184	12	applied	apply	VERB
cana-5424	184	13	.	.	PUNCT
cana-5424	185	1	1	1	X
cana-5424	185	2	.	.	X
cana-5424	185	3	assign	assign	VERB
cana-5424	185	4	all	all	DET
cana-5424	185	5	parameters	parameter	NOUN
cana-5424	185	6	values	value	NOUN
cana-5424	185	7	as	as	SCONJ
cana-5424	185	8	defined	define	VERB
cana-5424	185	9	in	in	ADP
cana-5424	185	10	table	table	NOUN
cana-5424	185	11	2	2	NUM
cana-5424	185	12	.	.	NOUN
cana-5424	185	13	2	2	NUM
cana-5424	185	14	.	.	X
cana-5424	185	15	set	set	VERB
cana-5424	185	16	η	η	PROPN
cana-5424	185	17	=	=	PROPN
cana-5424	185	18	1	1	NUM
cana-5424	185	19	.	.	NOUN
cana-5424	185	20	3	3	X
cana-5424	185	21	.	.	X
cana-5424	185	22	perform	perform	VERB
cana-5424	185	23	the	the	DET
cana-5424	185	24	underneath	underneath	NOUN
cana-5424	185	25	steps	step	NOUN
cana-5424	185	26	for	for	ADP
cana-5424	185	27	all	all	DET
cana-5424	185	28	the	the	DET
cana-5424	185	29	values	value	NOUN
cana-5424	185	30	of	of	ADP
cana-5424	185	31	lj	lj	PROPN
cana-5424	185	32	;	;	PUNCT
cana-5424	185	33	j	j	PROPN
cana-5424	185	34	=	=	SYM
cana-5424	185	35	1	1	NUM
cana-5424	185	36	,	,	PUNCT
cana-5424	185	37	2	2	NUM
cana-5424	185	38	,	,	PUNCT
cana-5424	185	39	.	.	PUNCT
cana-5424	185	40	.	.	PUNCT
cana-5424	185	41	.	.	PUNCT
cana-5424	186	1	(	(	PUNCT
cana-5424	186	2	a	a	X
cana-5424	186	3	)	)	PUNCT
cana-5424	186	4	from	from	ADP
cana-5424	186	5	equation	equation	NOUN
cana-5424	186	6	(	(	PUNCT
cana-5424	186	7	20	20	NUM
cana-5424	186	8	)	)	PUNCT
cana-5424	186	9	,	,	PUNCT
cana-5424	186	10	evaluate	evaluate	VERB
cana-5424	186	11	q2	q2	NOUN
cana-5424	186	12	.	.	PUNCT
cana-5424	187	1	(	(	PUNCT
cana-5424	187	2	b	b	X
cana-5424	187	3	)	)	PUNCT
cana-5424	187	4	from	from	ADP
cana-5424	187	5	equation	equation	NOUN
cana-5424	187	6	(	(	PUNCT
cana-5424	187	7	21	21	NUM
cana-5424	187	8	)	)	PUNCT
cana-5424	187	9	,	,	PUNCT
cana-5424	187	10	evaluate	evaluate	VERB
cana-5424	187	11	q1	q1	NOUN
cana-5424	187	12	.	.	PUNCT
cana-5424	188	1	(	(	PUNCT
cana-5424	188	2	c	c	X
cana-5424	188	3	)	)	PUNCT
cana-5424	188	4	from	from	ADP
cana-5424	188	5	equation	equation	NOUN
cana-5424	188	6	(	(	PUNCT
cana-5424	188	7	22	22	NUM
cana-5424	188	8	)	)	PUNCT
cana-5424	188	9	,	,	PUNCT
cana-5424	188	10	evaluate	evaluate	VERB
cana-5424	188	11	δ	δ	PROPN
cana-5424	188	12	.	.	PUNCT
cana-5424	189	1	(	(	PUNCT
cana-5424	189	2	d	d	X
cana-5424	189	3	)	)	PUNCT
cana-5424	189	4	from	from	ADP
cana-5424	189	5	equation	equation	NOUN
cana-5424	189	6	(	(	PUNCT
cana-5424	189	7	23	23	NUM
cana-5424	189	8	)	)	PUNCT
cana-5424	189	9	,	,	PUNCT
cana-5424	189	10	evaluate	evaluate	VERB
cana-5424	189	11	ζ	ζ	NOUN
cana-5424	189	12	.	.	PUNCT
cana-5424	190	1	(	(	PUNCT
cana-5424	190	2	e	e	X
cana-5424	190	3	)	)	PUNCT
cana-5424	190	4	redo	redo	VERB
cana-5424	190	5	the	the	DET
cana-5424	190	6	steps	step	NOUN
cana-5424	190	7	from	from	ADP
cana-5424	190	8	3(a	3(a	NUM
cana-5424	190	9	)	)	PUNCT
cana-5424	190	10	to	to	ADP
cana-5424	190	11	3(d	3(d	NUM
cana-5424	190	12	)	)	PUNCT
cana-5424	190	13	unless	unless	SCONJ
cana-5424	190	14	there	there	PRON
cana-5424	190	15	is	be	VERB
cana-5424	190	16	no	no	DET
cana-5424	190	17	variation	variation	NOUN
cana-5424	190	18	in	in	ADP
cana-5424	190	19	the	the	DET
cana-5424	190	20	values	value	NOUN
cana-5424	190	21	of	of	ADP
cana-5424	190	22	q1	q1	PROPN
cana-5424	190	23	,	,	PUNCT
cana-5424	190	24	q2	q2	PROPN
cana-5424	190	25	,	,	PUNCT
cana-5424	190	26	δ	δ	PROPN
cana-5424	190	27	,	,	PUNCT
cana-5424	190	28	and	and	CCONJ
cana-5424	190	29	ζ	ζ	NOUN
cana-5424	190	30	until	until	ADP
cana-5424	190	31	a	a	DET
cana-5424	190	32	specified	specified	ADJ
cana-5424	190	33	accuracy	accuracy	NOUN
cana-5424	190	34	level	level	NOUN
cana-5424	190	35	.	.	PUNCT
cana-5424	191	1	4	4	X
cana-5424	191	2	.	.	X
cana-5424	191	3	evaluate	evaluate	VERB
cana-5424	191	4	e1d	e1d	PROPN
cana-5424	191	5	and	and	CCONJ
cana-5424	191	6	e	e	X
cana-5424	191	7	′d	′d	NOUN
cana-5424	191	8	using	use	VERB
cana-5424	191	9	the	the	DET
cana-5424	191	10	following	follow	VERB
cana-5424	191	11	steps	step	NOUN
cana-5424	191	12	:	:	PUNCT
cana-5424	191	13	(	(	PUNCT
cana-5424	191	14	a	a	X
cana-5424	191	15	)	)	PUNCT
cana-5424	191	16	if	if	SCONJ
cana-5424	191	17	e1d	e1d	ADJ
cana-5424	191	18	<	<	X
cana-5424	191	19	220	220	NUM
cana-5424	191	20	then	then	ADV
cana-5424	191	21	cep	cep	VERB
cana-5424	191	22	,	,	PUNCT
cana-5424	191	23	i	i	PRON
cana-5424	191	24	=	=	NOUN
cana-5424	191	25	0	0	NUM
cana-5424	191	26	and	and	CCONJ
cana-5424	191	27	yi	yi	NOUN
cana-5424	192	1	=	=	NOUN
cana-5424	192	2	0	0	PUNCT
cana-5424	192	3	else	else	ADV
cana-5424	192	4	go	go	VERB
cana-5424	192	5	to	to	PART
cana-5424	192	6	step	step	VERB
cana-5424	192	7	4(b	4(b	NUM
cana-5424	192	8	)	)	PUNCT
cana-5424	192	9	and	and	CCONJ
cana-5424	192	10	if	if	SCONJ
cana-5424	192	11	e	e	X
cana-5424	192	12	′d	′d	ADV
cana-5424	192	13	<	<	X
cana-5424	192	14	220	220	NUM
cana-5424	192	15	then	then	ADV
cana-5424	192	16	cep	cep	VERB
cana-5424	192	17	,	,	PUNCT
cana-5424	192	18	i	i	PRON
cana-5424	192	19	=	=	NOUN
cana-5424	192	20	0	0	NUM
cana-5424	192	21	and	and	CCONJ
cana-5424	192	22	yi	yi	NOUN
cana-5424	192	23	=	=	NOUN
cana-5424	192	24	0	0	PUNCT
cana-5424	192	25	else	else	ADV
cana-5424	192	26	go	go	VERB
cana-5424	192	27	to	to	PART
cana-5424	192	28	step	step	VERB
cana-5424	192	29	4(b	4(b	NUM
cana-5424	192	30	)	)	PUNCT
cana-5424	192	31	.	.	PUNCT
cana-5424	193	1	(	(	PUNCT
cana-5424	193	2	b	b	X
cana-5424	193	3	)	)	PUNCT
cana-5424	193	4	if	if	SCONJ
cana-5424	193	5	220	220	NUM
cana-5424	193	6	<	<	X
cana-5424	193	7	e1d	e1d	X
cana-5424	193	8	<	<	X
cana-5424	193	9	330	330	NUM
cana-5424	193	10	then	then	ADV
cana-5424	193	11	cep	cep	VERB
cana-5424	193	12	,	,	PUNCT
cana-5424	193	13	i	i	PRON
cana-5424	193	14	=	=	NOUN
cana-5424	193	15	1000	1000	NUM
cana-5424	193	16	and	and	CCONJ
cana-5424	193	17	yi	yi	NOUN
cana-5424	193	18	=	=	NOUN
cana-5424	194	1	1	1	NUM
cana-5424	194	2	else	else	ADV
cana-5424	194	3	go	go	VERB
cana-5424	194	4	to	to	PART
cana-5424	194	5	step	step	VERB
cana-5424	194	6	4(c	4(c	NUM
cana-5424	194	7	)	)	PUNCT
cana-5424	194	8	and	and	CCONJ
cana-5424	194	9	if	if	SCONJ
cana-5424	194	10	220	220	NUM
cana-5424	194	11	<	<	X
cana-5424	194	12	e	e	X
cana-5424	194	13	′d	′d	NOUN
cana-5424	194	14	<	<	X
cana-5424	194	15	330	330	NUM
cana-5424	194	16	then	then	ADV
cana-5424	194	17	cep	cep	VERB
cana-5424	194	18	,	,	PUNCT
cana-5424	194	19	i	i	PRON
cana-5424	194	20	=	=	NOUN
cana-5424	194	21	1000	1000	NUM
cana-5424	194	22	and	and	CCONJ
cana-5424	194	23	yi	yi	NOUN
cana-5424	194	24	=	=	NOUN
cana-5424	194	25	1	1	NUM
cana-5424	194	26	else	else	ADV
cana-5424	194	27	go	go	VERB
cana-5424	194	28	to	to	PART
cana-5424	194	29	step	step	VERB
cana-5424	194	30	4(c	4(c	NUM
cana-5424	194	31	)	)	PUNCT
cana-5424	194	32	.	.	PUNCT
cana-5424	195	1	(	(	PUNCT
cana-5424	195	2	c	c	X
cana-5424	195	3	)	)	PUNCT
cana-5424	195	4	if	if	SCONJ
cana-5424	195	5	330	330	NUM
cana-5424	195	6	<	<	X
cana-5424	195	7	e1d	e1d	X
cana-5424	195	8	<	<	X
cana-5424	195	9	440	440	NUM
cana-5424	195	10	then	then	ADV
cana-5424	195	11	cep	cep	VERB
cana-5424	195	12	,	,	PUNCT
cana-5424	195	13	i	i	PRON
cana-5424	195	14	=	=	PROPN
cana-5424	195	15	2000	2000	NUM
cana-5424	195	16	and	and	CCONJ
cana-5424	195	17	yi	yi	NOUN
cana-5424	195	18	=	=	NOUN
cana-5424	196	1	1	1	NUM
cana-5424	196	2	else	else	ADV
cana-5424	196	3	go	go	VERB
cana-5424	196	4	to	to	PART
cana-5424	196	5	step	step	VERB
cana-5424	196	6	4(d	4(d	NUM
cana-5424	196	7	)	)	PUNCT
cana-5424	196	8	and	and	CCONJ
cana-5424	196	9	if	if	SCONJ
cana-5424	196	10	330	330	NUM
cana-5424	196	11	<	<	X
cana-5424	196	12	e	e	X
cana-5424	196	13	′d	′d	NOUN
cana-5424	196	14	<	<	X
cana-5424	196	15	440	440	NUM
cana-5424	196	16	then	then	ADV
cana-5424	196	17	cep	cep	VERB
cana-5424	196	18	,	,	PUNCT
cana-5424	196	19	i	i	PRON
cana-5424	196	20	=	=	PROPN
cana-5424	196	21	2000	2000	NUM
cana-5424	196	22	and	and	CCONJ
cana-5424	196	23	yi	yi	NOUN
cana-5424	196	24	=	=	NOUN
cana-5424	196	25	1	1	NUM
cana-5424	196	26	else	else	ADV
cana-5424	196	27	go	go	VERB
cana-5424	196	28	to	to	PART
cana-5424	196	29	step	step	VERB
cana-5424	196	30	4(d	4(d	NUM
cana-5424	196	31	)	)	PUNCT
cana-5424	196	32	.	.	PUNCT
cana-5424	197	1	(	(	PUNCT
cana-5424	197	2	d	d	X
cana-5424	197	3	)	)	PUNCT
cana-5424	197	4	if	if	SCONJ
cana-5424	197	5	440	440	NUM
cana-5424	197	6	<	<	X
cana-5424	197	7	e1d	e1d	X
cana-5424	197	8	<	<	X
cana-5424	197	9	550	550	NUM
cana-5424	197	10	then	then	ADV
cana-5424	197	11	cep	cep	VERB
cana-5424	197	12	,	,	PUNCT
cana-5424	197	13	i	i	PRON
cana-5424	197	14	=	=	NOUN
cana-5424	197	15	3000	3000	NUM
cana-5424	197	16	and	and	CCONJ
cana-5424	197	17	yi	yi	NOUN
cana-5424	197	18	=	=	NOUN
cana-5424	198	1	1	1	NUM
cana-5424	198	2	else	else	ADV
cana-5424	198	3	go	go	VERB
cana-5424	198	4	to	to	PART
cana-5424	198	5	step	step	VERB
cana-5424	198	6	4(e	4(e	NUM
cana-5424	198	7	)	)	PUNCT
cana-5424	198	8	and	and	CCONJ
cana-5424	198	9	if	if	SCONJ
cana-5424	198	10	440	440	NUM
cana-5424	198	11	<	<	X
cana-5424	198	12	e	e	X
cana-5424	198	13	′d	′d	NOUN
cana-5424	198	14	<	<	X
cana-5424	198	15	550	550	NUM
cana-5424	198	16	then	then	ADV
cana-5424	198	17	cep	cep	VERB
cana-5424	198	18	,	,	PUNCT
cana-5424	198	19	i	i	PRON
cana-5424	198	20	=	=	NOUN
cana-5424	198	21	3000	3000	NUM
cana-5424	198	22	and	and	CCONJ
cana-5424	198	23	yi	yi	NOUN
cana-5424	198	24	=	=	NOUN
cana-5424	198	25	1	1	NUM
cana-5424	198	26	else	else	ADV
cana-5424	198	27	go	go	VERB
cana-5424	198	28	to	to	PART
cana-5424	198	29	step	step	VERB
cana-5424	198	30	4(e	4(e	NUM
cana-5424	198	31	)	)	PUNCT
cana-5424	198	32	.	.	PUNCT
cana-5424	199	1	(	(	PUNCT
cana-5424	199	2	e	e	X
cana-5424	199	3	)	)	PUNCT
cana-5424	199	4	if	if	SCONJ
cana-5424	199	5	550	550	NUM
cana-5424	199	6	<	<	X
cana-5424	199	7	e1d	e1d	X
cana-5424	199	8	<	<	X
cana-5424	199	9	660	660	NUM
cana-5424	199	10	then	then	ADV
cana-5424	199	11	cep	cep	VERB
cana-5424	199	12	,	,	PUNCT
cana-5424	199	13	i	i	PRON
cana-5424	199	14	=	=	NOUN
cana-5424	199	15	4000	4000	NUM
cana-5424	199	16	and	and	CCONJ
cana-5424	199	17	yi	yi	NOUN
cana-5424	199	18	=	=	NOUN
cana-5424	200	1	1	1	NUM
cana-5424	200	2	else	else	ADV
cana-5424	200	3	go	go	VERB
cana-5424	200	4	to	to	PART
cana-5424	200	5	step	step	VERB
cana-5424	200	6	4(f	4(f	NUM
cana-5424	200	7	)	)	PUNCT
cana-5424	200	8	and	and	CCONJ
cana-5424	200	9	if	if	SCONJ
cana-5424	200	10	550	550	NUM
cana-5424	200	11	<	<	X
cana-5424	200	12	e	e	X
cana-5424	200	13	′d	′d	NOUN
cana-5424	200	14	<	<	X
cana-5424	200	15	660	660	NUM
cana-5424	200	16	then	then	ADV
cana-5424	200	17	cep	cep	VERB
cana-5424	200	18	,	,	PUNCT
cana-5424	200	19	i	i	PRON
cana-5424	200	20	=	=	NOUN
cana-5424	200	21	4000	4000	NUM
cana-5424	200	22	and	and	CCONJ
cana-5424	200	23	yi	yi	NOUN
cana-5424	200	24	=	=	NOUN
cana-5424	200	25	1	1	NUM
cana-5424	200	26	else	else	ADV
cana-5424	200	27	go	go	VERB
cana-5424	200	28	to	to	PART
cana-5424	200	29	step	step	VERB
cana-5424	200	30	4(f	4(f	NUM
cana-5424	200	31	)	)	PUNCT
cana-5424	200	32	.	.	PUNCT
cana-5424	201	1	(	(	PUNCT
cana-5424	201	2	f	f	X
cana-5424	201	3	)	)	PUNCT
cana-5424	201	4	if	if	SCONJ
cana-5424	201	5	e1d	e1d	X
cana-5424	201	6	>	>	X
cana-5424	201	7	660	660	NUM
cana-5424	201	8	then	then	ADV
cana-5424	201	9	cep	cep	VERB
cana-5424	201	10	,	,	PUNCT
cana-5424	201	11	i	i	PRON
cana-5424	201	12	=	=	NOUN
cana-5424	201	13	4000	4000	NUM
cana-5424	201	14	and	and	CCONJ
cana-5424	201	15	yi	yi	NOUN
cana-5424	201	16	=	=	NOUN
cana-5424	201	17	1	1	NUM
cana-5424	201	18	and	and	CCONJ
cana-5424	201	19	if	if	SCONJ
cana-5424	201	20	e	e	PROPN
cana-5424	201	21	′d	′d	ADV
cana-5424	201	22	>	>	X
cana-5424	201	23	660	660	NUM
cana-5424	201	24	then	then	ADV
cana-5424	201	25	cep	cep	VERB
cana-5424	201	26	,	,	PUNCT
cana-5424	201	27	i	i	PRON
cana-5424	201	28	=	=	NOUN
cana-5424	201	29	4000	4000	NUM
cana-5424	201	30	and	and	CCONJ
cana-5424	201	31	yi	yi	NOUN
cana-5424	201	32	=	=	NOUN
cana-5424	202	1	1	1	NUM
cana-5424	202	2	.	.	NOUN
cana-5424	202	3	5	5	NUM
cana-5424	202	4	.	.	X
cana-5424	203	1	obtain	obtain	VERB
cana-5424	203	2	the	the	DET
cana-5424	203	3	value	value	NOUN
cana-5424	203	4	of	of	ADP
cana-5424	203	5	ec1	ec1	PROPN
cana-5424	203	6	and	and	CCONJ
cana-5424	203	7	ec	ec	PROPN
cana-5424	203	8	′	′	NUM
cana-5424	203	9	1	1	NUM
cana-5424	203	10	from	from	ADP
cana-5424	203	11	equations	equation	NOUN
cana-5424	203	12	(	(	PUNCT
cana-5424	203	13	25	25	NUM
cana-5424	203	14	)	)	PUNCT
cana-5424	203	15	and	and	CCONJ
cana-5424	203	16	(	(	PUNCT
cana-5424	203	17	31	31	NUM
cana-5424	203	18	)	)	PUNCT
cana-5424	203	19	.	.	PUNCT
cana-5424	204	1	6	6	X
cana-5424	204	2	.	.	X
cana-5424	204	3	obtain	obtain	VERB
cana-5424	204	4	the	the	DET
cana-5424	204	5	value	value	NOUN
cana-5424	204	6	of	of	ADP
cana-5424	204	7	ec2	ec2	PROPN
cana-5424	204	8	and	and	CCONJ
cana-5424	204	9	ec	ec	PROPN
cana-5424	204	10	′	′	NUM
cana-5424	204	11	2	2	NUM
cana-5424	204	12	from	from	ADP
cana-5424	204	13	equations	equation	NOUN
cana-5424	204	14	(	(	PUNCT
cana-5424	204	15	26	26	NUM
cana-5424	204	16	)	)	PUNCT
cana-5424	204	17	and	and	CCONJ
cana-5424	204	18	(	(	PUNCT
cana-5424	204	19	32	32	NUM
cana-5424	204	20	)	)	PUNCT
cana-5424	204	21	.	.	PUNCT
cana-5424	205	1	7	7	X
cana-5424	205	2	.	.	X
cana-5424	205	3	obtain	obtain	VERB
cana-5424	205	4	the	the	DET
cana-5424	205	5	value	value	NOUN
cana-5424	205	6	of	of	ADP
cana-5424	205	7	sc1	sc1	NOUN
cana-5424	205	8	and	and	CCONJ
cana-5424	205	9	sc2	sc2	NOUN
cana-5424	205	10	from	from	ADP
cana-5424	205	11	equations	equation	NOUN
cana-5424	205	12	(	(	PUNCT
cana-5424	205	13	28	28	NUM
cana-5424	205	14	)	)	PUNCT
cana-5424	205	15	and	and	CCONJ
cana-5424	205	16	(	(	PUNCT
cana-5424	205	17	34	34	NUM
cana-5424	205	18	)	)	PUNCT
cana-5424	205	19	.	.	PUNCT
cana-5424	206	1	communications	communication	NOUN
cana-5424	206	2	on	on	ADP
cana-5424	206	3	applied	apply	VERB
cana-5424	206	4	nonlinear	nonlinear	ADJ
cana-5424	206	5	analysis	analysis	NOUN
cana-5424	206	6	issn	issn	NOUN
cana-5424	206	7	:	:	PUNCT
cana-5424	206	8	1074	1074	NUM
cana-5424	206	9	-	-	PUNCT
cana-5424	206	10	133x	133x	NUM
cana-5424	206	11	vol	vol	NOUN
cana-5424	206	12	32	32	NUM
cana-5424	206	13	no	no	NOUN
cana-5424	206	14	.	.	PUNCT
cana-5424	207	1	10s(2025	10s(2025	NUM
cana-5424	207	2	)	)	PUNCT
cana-5424	207	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	207	4	2242	2242	NUM
cana-5424	207	5	8	8	NUM
cana-5424	207	6	.	.	PUNCT
cana-5424	208	1	use	use	VERB
cana-5424	208	2	the	the	DET
cana-5424	208	3	values	value	NOUN
cana-5424	208	4	of	of	ADP
cana-5424	208	5	q1	q1	PROPN
cana-5424	208	6	,	,	PUNCT
cana-5424	208	7	ζ	ζ	PROPN
cana-5424	208	8	,	,	PUNCT
cana-5424	208	9	δ	δ	PROPN
cana-5424	208	10	,	,	PUNCT
cana-5424	208	11	edr	edr	PROPN
cana-5424	208	12	,	,	PUNCT
cana-5424	208	13	ec1	ec1	PROPN
cana-5424	208	14	,	,	PUNCT
cana-5424	208	15	ec2	ec2	PROPN
cana-5424	208	16	,	,	PUNCT
cana-5424	208	17	and	and	CCONJ
cana-5424	208	18	sc1	sc1	PROPN
cana-5424	208	19	to	to	PART
cana-5424	208	20	obtain	obtain	VERB
cana-5424	208	21	tcs	tcs	NOUN
cana-5424	208	22	from	from	ADP
cana-5424	208	23	equation	equation	NOUN
cana-5424	208	24	(	(	PUNCT
cana-5424	208	25	29	29	NUM
cana-5424	208	26	)	)	PUNCT
cana-5424	208	27	.	.	PUNCT
cana-5424	209	1	9	9	X
cana-5424	209	2	.	.	X
cana-5424	209	3	use	use	VERB
cana-5424	209	4	the	the	DET
cana-5424	209	5	values	value	NOUN
cana-5424	209	6	of	of	ADP
cana-5424	209	7	q2	q2	NOUN
cana-5424	209	8	,	,	PUNCT
cana-5424	209	9	q1	q1	PROPN
cana-5424	209	10	,	,	PUNCT
cana-5424	209	11	ζ	ζ	PROPN
cana-5424	209	12	,	,	PUNCT
cana-5424	209	13	δ	δ	PROPN
cana-5424	209	14	,	,	PUNCT
cana-5424	209	15	e	e	PROPN
cana-5424	210	1	′	′	NUM
cana-5424	210	2	d	d	NOUN
cana-5424	210	3	,	,	PUNCT
cana-5424	210	4	ec	ec	PROPN
cana-5424	210	5	′	′	NUM
cana-5424	210	6	1	1	NUM
cana-5424	210	7	,	,	PUNCT
cana-5424	210	8	ec	ec	PROPN
cana-5424	210	9	′	′	NUM
cana-5424	210	10	2	2	NUM
cana-5424	210	11	,	,	PUNCT
cana-5424	210	12	and	and	CCONJ
cana-5424	210	13	sc2	sc2	VERB
cana-5424	210	14	to	to	PART
cana-5424	210	15	obtain	obtain	VERB
cana-5424	210	16	tcd	tcd	NOUN
cana-5424	210	17	from	from	ADP
cana-5424	210	18	equation	equation	NOUN
cana-5424	210	19	(	(	PUNCT
cana-5424	210	20	35	35	NUM
cana-5424	210	21	)	)	PUNCT
cana-5424	210	22	.	.	PUNCT
cana-5424	211	1	10	10	NUM
cana-5424	211	2	.	.	X
cana-5424	212	1	set	set	VERB
cana-5424	212	2	η	η	PROPN
cana-5424	212	3	=	=	PROPN
cana-5424	212	4	η	η	PROPN
cana-5424	212	5	+	+	PROPN
cana-5424	212	6	1	1	NUM
cana-5424	212	7	and	and	CCONJ
cana-5424	212	8	repeat	repeat	VERB
cana-5424	212	9	steps	step	NOUN
cana-5424	212	10	3	3	NUM
cana-5424	212	11	to	to	PART
cana-5424	212	12	11	11	NUM
cana-5424	212	13	.	.	PUNCT
cana-5424	213	1	11	11	NUM
cana-5424	213	2	.	.	PUNCT
cana-5424	214	1	if	if	SCONJ
cana-5424	214	2	tcd(η	tcd(η	PROPN
cana-5424	214	3	)	)	PUNCT
cana-5424	214	4	>	>	X
cana-5424	215	1	tcd(η	tcd(η	PROPN
cana-5424	215	2	+	+	CCONJ
cana-5424	215	3	1	1	X
cana-5424	215	4	)	)	PUNCT
cana-5424	215	5	then	then	ADV
cana-5424	215	6	redo	redo	VERB
cana-5424	215	7	the	the	DET
cana-5424	215	8	steps	step	NOUN
cana-5424	215	9	from	from	ADP
cana-5424	215	10	2	2	NUM
cana-5424	215	11	to	to	ADP
cana-5424	215	12	6	6	NUM
cana-5424	215	13	or	or	CCONJ
cana-5424	215	14	else	else	ADV
cana-5424	215	15	end	end	VERB
cana-5424	215	16	the	the	DET
cana-5424	215	17	algorithm	algorithm	NOUN
cana-5424	215	18	.	.	PUNCT
cana-5424	216	1	3	3	X
cana-5424	216	2	.	.	X
cana-5424	216	3	mathematical	mathematical	ADJ
cana-5424	216	4	solution	solution	NOUN
cana-5424	216	5	of	of	ADP
cana-5424	216	6	field	field	NOUN
cana-5424	216	7	equation	equation	NOUN
cana-5424	216	8	e(ρ−r)+	e(ρ−r)+	PROPN
cana-5424	217	1	=	=	SYM
cana-5424	217	2	|ρ−r|+	|ρ−r|+	NUM
cana-5424	217	3	ρ−r	ρ−r	PROPN
cana-5424	217	4	2	2	NUM
cana-5424	217	5	e(ρ−r)+	e(ρ−r)+	PROPN
cana-5424	217	6	≤	≤	NOUN
cana-5424	217	7	√	√	VERB
cana-5424	217	8	e(ρ−r)2	e(ρ−r)2	PROPN
cana-5424	217	9	+	+	CCONJ
cana-5424	217	10	e(ρ−r	e(ρ−r	X
cana-5424	217	11	)	)	PUNCT
cana-5424	217	12	2	2	NUM
cana-5424	217	13	considering	considering	NOUN
cana-5424	217	14	,	,	PUNCT
cana-5424	217	15	ρ	ρ	PROPN
cana-5424	217	16	=	=	SYM
cana-5424	217	17	d1	d1	ADJ
cana-5424	217	18	√	√	NUM
cana-5424	217	19	l+x	l+x	VERB
cana-5424	217	20	summation	summation	NOUN
cana-5424	217	21	of	of	ADP
cana-5424	217	22	variability	variability	NOUN
cana-5424	217	23	and	and	CCONJ
cana-5424	217	24	randomness	randomness	NOUN
cana-5424	217	25	.	.	PUNCT
cana-5424	218	1	e(ρ−r)+	e(ρ−r)+	AUX
cana-5424	218	2	≤	≤	NOUN
cana-5424	218	3	√	√	PUNCT
cana-5424	218	4	e(d1	e(d1	NOUN
cana-5424	218	5	√	√	PROPN
cana-5424	218	6	l	l	NOUN
cana-5424	218	7	+	+	CCONJ
cana-5424	218	8	e(x	e(x	NUM
cana-5424	218	9	−r))2	−r))2	NOUN
cana-5424	218	10	+	+	CCONJ
cana-5424	218	11	e(d1	e(d1	NOUN
cana-5424	218	12	√	√	PROPN
cana-5424	218	13	l	l	NOUN
cana-5424	219	1	+	+	NOUN
cana-5424	219	2	x	x	NOUN
cana-5424	219	3	−r	−r	ADJ
cana-5424	219	4	)	)	PUNCT
cana-5424	219	5	2	2	NUM
cana-5424	219	6	where	where	SCONJ
cana-5424	219	7	,	,	PUNCT
cana-5424	219	8	r	r	NOUN
cana-5424	219	9	=	=	SYM
cana-5424	219	10	d1l	d1l	PROPN
cana-5424	219	11	+	+	CCONJ
cana-5424	219	12	δσ	δσ	PROPN
cana-5424	219	13	√	√	PROPN
cana-5424	219	14	l	l	NOUN
cana-5424	219	15	is	be	AUX
cana-5424	219	16	a	a	DET
cana-5424	219	17	safety	safety	NOUN
cana-5424	219	18	factor	factor	NOUN
cana-5424	219	19	e(ρ−r)+	e(ρ−r)+	PROPN
cana-5424	219	20	≤	≤	NOUN
cana-5424	219	21	√	√	ADP
cana-5424	219	22	e(d1l	e(d1l	NOUN
cana-5424	219	23	+	+	NOUN
cana-5424	219	24	x	x	PROPN
cana-5424	219	25	−	−	PROPN
cana-5424	219	26	d1l	d1l	PROPN
cana-5424	219	27	+	+	NUM
cana-5424	219	28	δσ	δσ	NOUN
cana-5424	219	29	√	√	VERB
cana-5424	220	1	l)2	l)2	PROPN
cana-5424	220	2	+	+	CCONJ
cana-5424	220	3	e(d1l	e(d1l	ADJ
cana-5424	220	4	+	+	NOUN
cana-5424	220	5	x	x	PROPN
cana-5424	220	6	−	−	PROPN
cana-5424	220	7	d1l	d1l	PROPN
cana-5424	220	8	+	+	NOUN
cana-5424	220	9	δσ	δσ	PROPN
cana-5424	220	10	√	√	NUM
cana-5424	220	11	l	l	NOUN
cana-5424	220	12	)	)	PUNCT
cana-5424	220	13	2	2	NUM
cana-5424	220	14	in	in	ADP
cana-5424	220	15	this	this	DET
cana-5424	220	16	current	current	ADJ
cana-5424	220	17	model	model	NOUN
cana-5424	220	18	,	,	PUNCT
cana-5424	220	19	the	the	DET
cana-5424	220	20	worst	bad	ADJ
cana-5424	220	21	practicable	practicable	ADJ
cana-5424	220	22	distribution	distribution	NOUN
cana-5424	220	23	of	of	ADP
cana-5424	220	24	random	random	ADJ
cana-5424	220	25	variable	variable	NOUN
cana-5424	220	26	d1	d1	PROPN
cana-5424	220	27	with	with	ADP
cana-5424	220	28	mean	mean	ADJ
cana-5424	220	29	d1l	d1l	PROPN
cana-5424	220	30	and	and	CCONJ
cana-5424	220	31	standard	standard	ADJ
cana-5424	220	32	deviation	deviation	NOUN
cana-5424	220	33	σ	σ	NOUN
cana-5424	220	34	√	√	PROPN
cana-5424	220	35	l.	l.	PROPN
cana-5424	220	36	thus	thus	ADV
cana-5424	220	37	we	we	PRON
cana-5424	220	38	obtain	obtain	VERB
cana-5424	220	39	,	,	PUNCT
cana-5424	220	40	e(ρ−r)+	e(ρ−r)+	PROPN
cana-5424	220	41	=	=	SYM
cana-5424	220	42	√	√	NUM
cana-5424	220	43	e(x	e(x	NUM
cana-5424	220	44	+	+	CCONJ
cana-5424	220	45	δσ	δσ	NOUN
cana-5424	220	46	√	√	ADV
cana-5424	220	47	l)2	l)2	ADV
cana-5424	220	48	+	+	PUNCT
cana-5424	220	49	e((x	e((x	NOUN
cana-5424	221	1	+	+	NUM
cana-5424	221	2	δσ	δσ	PROPN
cana-5424	221	3	√	√	NUM
cana-5424	221	4	l	l	NOUN
cana-5424	221	5	)	)	PUNCT
cana-5424	221	6	)	)	PUNCT
cana-5424	221	7	2	2	NUM
cana-5424	221	8	=	=	SYM
cana-5424	221	9	√	√	NOUN
cana-5424	221	10	e(x2	e(x2	NOUN
cana-5424	221	11	+	+	CCONJ
cana-5424	221	12	δ2σ2l	δ2σ2l	NUM
cana-5424	221	13	+	+	CCONJ
cana-5424	221	14	2xδσ	2xδσ	NUM
cana-5424	221	15	√	√	NUM
cana-5424	221	16	l	l	NOUN
cana-5424	221	17	)	)	PUNCT
cana-5424	221	18	+	+	CCONJ
cana-5424	221	19	e(x	e(x	NOUN
cana-5424	221	20	+	+	CCONJ
cana-5424	221	21	δσ	δσ	PROPN
cana-5424	221	22	√	√	NUM
cana-5424	221	23	l	l	NOUN
cana-5424	221	24	)	)	PUNCT
cana-5424	221	25	2	2	NUM
cana-5424	221	26	=	=	SYM
cana-5424	221	27			NOUN
cana-5424	221	28	√	√	PUNCT
cana-5424	221	29	σ2l	σ2l	NOUN
cana-5424	221	30	+	+	CCONJ
cana-5424	221	31	(	(	PUNCT
cana-5424	221	32	d1l)2	d1l)2	PROPN
cana-5424	221	33	+	+	CCONJ
cana-5424	221	34	δ2σ2l	δ2σ2l	NUM
cana-5424	221	35	−	−	PROPN
cana-5424	221	36	2d1lδσ	2d1lδσ	NUM
cana-5424	221	37	√	√	NUM
cana-5424	221	38	l	l	NOUN
cana-5424	222	1	+	+	CCONJ
cana-5424	222	2	(	(	PUNCT
cana-5424	222	3	d1l	d1l	PROPN
cana-5424	222	4	−	−	PROPN
cana-5424	222	5	δσ	δσ	PROPN
cana-5424	222	6	√	√	NUM
cana-5424	222	7	l	l	NOUN
cana-5424	222	8	)	)	PUNCT
cana-5424	222	9	2	2	NUM
cana-5424	222	10			NOUN
cana-5424	222	11	computation	computation	NOUN
cana-5424	222	12	of	of	ADP
cana-5424	222	13	proposition	proposition	NOUN
cana-5424	222	14	1	1	NUM
cana-5424	222	15	underneath	underneath	ADP
cana-5424	222	16	mentioned	mention	VERB
cana-5424	222	17	is	be	AUX
cana-5424	222	18	the	the	DET
cana-5424	222	19	hessian	hessian	ADJ
cana-5424	222	20	matrix	matrix	NOUN
cana-5424	222	21	h	h	NOUN
cana-5424	222	22	for	for	ADP
cana-5424	222	23	the	the	DET
cana-5424	222	24	retailing	retailing	NOUN
cana-5424	222	25	system	system	NOUN
cana-5424	222	26	with	with	ADP
cana-5424	222	27	dual	dual	ADJ
cana-5424	222	28	-	-	PUNCT
cana-5424	222	29	route	route	NOUN
cana-5424	222	30	.	.	PUNCT
cana-5424	223	1	the	the	DET
cana-5424	223	2	hessian	hessian	ADJ
cana-5424	223	3	matrix	matrix	NOUN
cana-5424	223	4	h	h	NOUN
cana-5424	223	5	for	for	ADP
cana-5424	223	6	retailing	retailing	NOUN
cana-5424	223	7	system	system	NOUN
cana-5424	223	8	having	have	VERB
cana-5424	223	9	dual	dual	ADJ
cana-5424	223	10	-	-	PUNCT
cana-5424	223	11	route	route	NOUN
cana-5424	223	12	is	be	AUX
cana-5424	223	13	given	give	VERB
cana-5424	223	14	as	as	SCONJ
cana-5424	223	15	communications	communication	NOUN
cana-5424	223	16	on	on	ADP
cana-5424	223	17	applied	apply	VERB
cana-5424	223	18	nonlinear	nonlinear	ADJ
cana-5424	223	19	analysis	analysis	NOUN
cana-5424	223	20	issn	issn	NOUN
cana-5424	223	21	:	:	PUNCT
cana-5424	223	22	1074	1074	NUM
cana-5424	223	23	-	-	PUNCT
cana-5424	223	24	133x	133x	NUM
cana-5424	223	25	vol	vol	NOUN
cana-5424	223	26	32	32	NUM
cana-5424	223	27	no	no	NOUN
cana-5424	223	28	.	.	PUNCT
cana-5424	224	1	10s(2025	10s(2025	NUM
cana-5424	224	2	)	)	PUNCT
cana-5424	225	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	225	2	2243	2243	NUM
cana-5424	225	3	(	(	PUNCT
cana-5424	225	4	htcd	htcd	NOUN
cana-5424	225	5	)	)	PUNCT
cana-5424	225	6	1	1	NUM
cana-5424	225	7	=	=	SYM
cana-5424	225	8			ADJ
cana-5424	225	9	∂2tcd	∂2tcd	NOUN
cana-5424	225	10	∂q21	∂q21	ADJ
cana-5424	225	11	∂2tcd	∂2tcd	NOUN
cana-5424	225	12	∂q1∂q2	∂q1∂q2	ADJ
cana-5424	225	13	∂2tcd	∂2tcd	NOUN
cana-5424	225	14	∂q1∂δ	∂q1∂δ	ADJ
cana-5424	225	15	∂2tcd	∂2tcd	NOUN
cana-5424	225	16	∂q1∂ζ	∂q1∂ζ	ADJ
cana-5424	225	17	∂2tcd	∂2tcd	NOUN
cana-5424	225	18	∂q2∂q1	∂q2∂q1	NOUN
cana-5424	225	19	∂2tcd	∂2tcd	NOUN
cana-5424	225	20	∂q22	∂q22	NOUN
cana-5424	225	21	∂2tcd	∂2tcd	NOUN
cana-5424	225	22	∂q2∂δ	∂q2∂δ	PROPN
cana-5424	225	23	∂2tcd	∂2tcd	NOUN
cana-5424	225	24	∂q2∂ζ	∂q2∂ζ	PROPN
cana-5424	225	25	∂2tcd	∂2tcd	NOUN
cana-5424	225	26	∂q1∂δ	∂q1∂δ	ADJ
cana-5424	225	27	∂2tcd	∂2tcd	NOUN
cana-5424	225	28	∂q2∂δ	∂q2∂δ	PROPN
cana-5424	225	29	∂2tcd	∂2tcd	NOUN
cana-5424	225	30	∂δ2	∂δ2	NOUN
cana-5424	225	31	∂2tcd	∂2tcd	NOUN
cana-5424	225	32	∂δ∂ζ	∂δ∂ζ	PROPN
cana-5424	225	33	∂2tcd	∂2tcd	NOUN
cana-5424	225	34	∂q1∂ζ	∂q1∂ζ	PROPN
cana-5424	225	35	∂2tcd	∂2tcd	NOUN
cana-5424	225	36	∂q2∂ζ	∂q2∂ζ	PROPN
cana-5424	225	37	∂2tcd	∂2tcd	PROPN
cana-5424	225	38	∂δ∂ζ	∂δ∂ζ	PROPN
cana-5424	225	39	∂2tcd	∂2tcd	NOUN
cana-5424	225	40	∂ζ2	∂ζ2	ADV
cana-5424	225	41			NOUN
cana-5424	225	42	where	where	SCONJ
cana-5424	225	43	,	,	PUNCT
cana-5424	225	44	∂2tcd	∂2tcd	PROPN
cana-5424	225	45	∂q22	∂q22	NOUN
cana-5424	225	46	=	=	NOUN
cana-5424	225	47	2	2	NUM
cana-5424	225	48	q31	q31	NOUN
cana-5424	225	49	[	[	PUNCT
cana-5424	225	50	ord1	ord1	NOUN
cana-5424	225	51	+	+	CCONJ
cana-5424	225	52	sm	sm	X
cana-5424	225	53	c	c	PROPN
cana-5424	225	54	d1	d1	PROPN
cana-5424	225	55	η	η	PROPN
cana-5424	225	56	+	+	PROPN
cana-5424	225	57	d1cl+	d1cl+	PROPN
cana-5424	225	58	νd1	νd1	NOUN
cana-5424	225	59	(	(	PUNCT
cana-5424	225	60	√	√	PROPN
cana-5424	225	61	σ2l	σ2l	NOUN
cana-5424	225	62	+	+	CCONJ
cana-5424	225	63	(	(	PUNCT
cana-5424	225	64	d1l)2	d1l)2	PROPN
cana-5424	225	65	+	+	CCONJ
cana-5424	225	66	δ2σ2l	δ2σ2l	NUM
cana-5424	225	67	−	−	PROPN
cana-5424	225	68	2d1lδσ	2d1lδσ	NUM
cana-5424	225	69	√	√	NUM
cana-5424	225	70	l	l	NOUN
cana-5424	225	71	)	)	PUNCT
cana-5424	225	72	]	]	PUNCT
cana-5424	225	73	,	,	PUNCT
cana-5424	225	74	∂2tcd	∂2tcd	ADP
cana-5424	225	75	∂q1∂q2	∂q1∂q2	NUM
cana-5424	225	76	=	=	PUNCT
cana-5424	225	77	∂2tcd	∂2tcd	NOUN
cana-5424	225	78	∂q2∂δ	∂q2∂δ	NOUN
cana-5424	225	79	=	=	PUNCT
cana-5424	225	80	∂2tcd	∂2tcd	NOUN
cana-5424	225	81	∂q2∂ζ	∂q2∂ζ	PROPN
cana-5424	225	82	=	=	PUNCT
cana-5424	225	83	∂2tcd	∂2tcd	NOUN
cana-5424	225	84	∂δ∂ζ	∂δ∂ζ	NOUN
cana-5424	225	85	=	=	SYM
cana-5424	225	86	0	0	X
cana-5424	225	87	.	.	PUNCT
cana-5424	225	88	∂2tcd	∂2tcd	NOUN
cana-5424	225	89	∂q1∂δ	∂q1∂δ	PROPN
cana-5424	225	90	=	=	SYM
cana-5424	225	91	−νd1	−νd1	PROPN
cana-5424	225	92	2q21	2q21	NUM
cana-5424	225	93	(	(	PUNCT
cana-5424	225	94	δσ2l−d1lσ	δσ2l−d1lσ	NOUN
cana-5424	225	95	√	√	NOUN
cana-5424	225	96	l√	l√	NUM
cana-5424	225	97	σ2l+(d1l)2+δ2σ2l−2d1lδσ	σ2l+(d1l)2+δ2σ2l−2d1lδσ	VERB
cana-5424	225	98	√	√	NUM
cana-5424	225	99	l	l	NOUN
cana-5424	225	100	−	−	PROPN
cana-5424	226	1	σ	σ	NOUN
cana-5424	226	2	√	√	PROPN
cana-5424	226	3	l	l	NOUN
cana-5424	226	4	)	)	PUNCT
cana-5424	227	1	,	,	PUNCT
cana-5424	227	2	∂2tcd	∂2tcd	X
cana-5424	228	1	∂q1∂ζ	∂q1∂ζ	NOUN
cana-5424	228	2	=	=	PUNCT
cana-5424	228	3	sd1η	sd1η	ADJ
cana-5424	228	4	2	2	NUM
cana-5424	228	5	,	,	PUNCT
cana-5424	228	6	∂2tcd	∂2tcd	NOUN
cana-5424	228	7	∂q22	∂q22	NOUN
cana-5424	228	8	=	=	PUNCT
cana-5424	228	9	2sm	2sm	NOUN
cana-5424	228	10	p	p	PROPN
cana-5424	228	11	d2	d2	PROPN
cana-5424	228	12	q32	q32	NOUN
cana-5424	228	13	.	.	PUNCT
cana-5424	229	1	∂2tcd	∂2tcd	NOUN
cana-5424	230	1	∂δ2	∂δ2	NOUN
cana-5424	230	2	=	=	PUNCT
cana-5424	230	3	νd1	νd1	NOUN
cana-5424	230	4	2q1	2q1	NUM
cana-5424	230	5	(	(	PUNCT
cana-5424	230	6	σ4l2√	σ4l2√	PROPN
cana-5424	230	7	σ2l+(d1l)2+δ2σ2l−2d1lδσ	σ2l+(d1l)2+δ2σ2l−2d1lδσ	PROPN
cana-5424	230	8	√	√	PROPN
cana-5424	230	9	l	l	NOUN
cana-5424	230	10	)	)	PUNCT
cana-5424	230	11	,	,	PUNCT
cana-5424	230	12	∂2tcd	∂2tcd	PROPN
cana-5424	231	1	∂ζ2	∂ζ2	ADV
cana-5424	231	2	=	=	PUNCT
cana-5424	231	3	αb	αb	ADP
cana-5424	231	4	ζ2	ζ2	NOUN
cana-5424	231	5	.	.	PUNCT
cana-5424	232	1	the	the	DET
cana-5424	232	2	hessian	hessian	ADJ
cana-5424	232	3	matrix	matrix	NOUN
cana-5424	232	4	’s	’s	PART
cana-5424	232	5	|(htcd	|(htcd	PROPN
cana-5424	232	6	)	)	PUNCT
cana-5424	232	7	1|	1|	PROPN
cana-5424	232	8	,	,	PUNCT
cana-5424	232	9	principal	principal	ADJ
cana-5424	232	10	minor	minor	ADJ
cana-5424	232	11	of	of	ADP
cana-5424	232	12	the	the	DET
cana-5424	232	13	order	order	NOUN
cana-5424	232	14	1×	1×	X
cana-5424	232	15	1	1	NUM
cana-5424	232	16	is	be	AUX
cana-5424	232	17	|(htcd	|(htcd	NOUN
cana-5424	232	18	)	)	PUNCT
cana-5424	233	1	1,1|	1,1|	NUM
cana-5424	233	2	=	=	PUNCT
cana-5424	233	3	∣∣∣∣∂2tcd	∣∣∣∣∂2tcd	PROPN
cana-5424	233	4	∂q21	∂q21	PROPN
cana-5424	233	5	∣∣∣∣	∣∣∣∣	NOUN
cana-5424	233	6	(	(	PUNCT
cana-5424	233	7	q∗1	q∗1	ADJ
cana-5424	233	8	,	,	PUNCT
cana-5424	233	9	q	q	NOUN
cana-5424	233	10	∗	∗	NOUN
cana-5424	233	11	2	2	NUM
cana-5424	233	12	,	,	PUNCT
cana-5424	233	13	δ	δ	NOUN
cana-5424	233	14	∗	∗	NOUN
cana-5424	233	15	)	)	PUNCT
cana-5424	233	16	=	=	SYM
cana-5424	233	17	2	2	NUM
cana-5424	233	18	q31	q31	NOUN
cana-5424	233	19	[	[	PUNCT
cana-5424	233	20	ord1	ord1	NOUN
cana-5424	233	21	+	+	CCONJ
cana-5424	233	22	sm	sm	X
cana-5424	233	23	c	c	PROPN
cana-5424	233	24	d1	d1	PROPN
cana-5424	233	25	η	η	PROPN
cana-5424	233	26	+	+	X
cana-5424	233	27	d1cl	d1cl	NUM
cana-5424	233	28	+	+	CCONJ
cana-5424	233	29	νd1	νd1	NOUN
cana-5424	233	30	(	(	PUNCT
cana-5424	233	31	√	√	PROPN
cana-5424	233	32	σ2l	σ2l	NOUN
cana-5424	233	33	+	+	CCONJ
cana-5424	233	34	(	(	PUNCT
cana-5424	233	35	d1l)2	d1l)2	PROPN
cana-5424	233	36	+	+	CCONJ
cana-5424	233	37	δ2σ2l	δ2σ2l	NUM
cana-5424	233	38	−	−	PROPN
cana-5424	233	39	2d1lδσ	2d1lδσ	NUM
cana-5424	233	40	√	√	NUM
cana-5424	233	41	l	l	NOUN
cana-5424	233	42	)	)	PUNCT
cana-5424	233	43	>	>	X
cana-5424	234	1	0	0	X
cana-5424	234	2	.	.	PUNCT
cana-5424	235	1	the	the	DET
cana-5424	235	2	hessian	hessian	ADJ
cana-5424	235	3	matrix	matrix	NOUN
cana-5424	235	4	’s	’s	PART
cana-5424	235	5	|(htcd	|(htcd	PROPN
cana-5424	235	6	)	)	PUNCT
cana-5424	235	7	1|	1|	PROPN
cana-5424	235	8	,	,	PUNCT
cana-5424	235	9	principal	principal	ADJ
cana-5424	235	10	minor	minor	ADJ
cana-5424	235	11	of	of	ADP
cana-5424	235	12	the	the	DET
cana-5424	235	13	order	order	NOUN
cana-5424	235	14	2×	2×	NUM
cana-5424	235	15	2	2	NUM
cana-5424	235	16	is	be	AUX
cana-5424	235	17	|((htcd	|((htcd	NOUN
cana-5424	235	18	)	)	PUNCT
cana-5424	235	19	1)2,2|(q∗1	1)2,2|(q∗1	NUM
cana-5424	235	20	,	,	PUNCT
cana-5424	235	21	q∗2	q∗2	PROPN
cana-5424	235	22	,	,	PUNCT
cana-5424	235	23	δ∗,ζ∗	δ∗,ζ∗	PROPN
cana-5424	235	24	)	)	PUNCT
cana-5424	235	25	=	=	SYM
cana-5424	236	1	∣∣∣∣∣	∣∣∣∣∣	ADP
cana-5424	236	2	∂2tcd	∂2tcd	NOUN
cana-5424	236	3	∂q21	∂q21	ADJ
cana-5424	236	4	∂2tcd	∂2tcd	NOUN
cana-5424	236	5	∂q1∂q2	∂q1∂q2	ADJ
cana-5424	236	6	∂2tcd	∂2tcd	NOUN
cana-5424	236	7	∂q2∂q1	∂q2∂q1	NOUN
cana-5424	236	8	∂2tcd	∂2tcd	NOUN
cana-5424	236	9	∂q22	∂q22	PROPN
cana-5424	236	10	∣∣∣∣∣	∣∣∣∣∣	PROPN
cana-5424	236	11	(	(	PUNCT
cana-5424	236	12	q∗1	q∗1	ADJ
cana-5424	236	13	,	,	PUNCT
cana-5424	236	14	q	q	NOUN
cana-5424	236	15	∗	∗	NOUN
cana-5424	236	16	2	2	NUM
cana-5424	236	17	,	,	PUNCT
cana-5424	236	18	δ	δ	PROPN
cana-5424	236	19	∗,ζ∗	∗,ζ∗	NOUN
cana-5424	236	20	)	)	PUNCT
cana-5424	236	21	|((htcd	|((htcd	NOUN
cana-5424	236	22	)	)	PUNCT
cana-5424	236	23	1)2,2|(q∗1	1)2,2|(q∗1	NUM
cana-5424	236	24	,	,	PUNCT
cana-5424	236	25	q∗2	q∗2	PROPN
cana-5424	236	26	,	,	PUNCT
cana-5424	236	27	δ∗,ζ∗	δ∗,ζ∗	PROPN
cana-5424	236	28	)	)	PUNCT
cana-5424	237	1	=	=	PRON
cana-5424	237	2	(	(	PUNCT
cana-5424	237	3	∂2tcd	∂2tcd	NOUN
cana-5424	237	4	∂q21	∂q21	ADJ
cana-5424	237	5	)	)	PUNCT
cana-5424	237	6	(	(	PUNCT
cana-5424	237	7	∂2tcd	∂2tcd	PROPN
cana-5424	237	8	∂q22	∂q22	PROPN
cana-5424	237	9	)	)	PUNCT
cana-5424	237	10	communications	communication	NOUN
cana-5424	237	11	on	on	ADP
cana-5424	237	12	applied	apply	VERB
cana-5424	237	13	nonlinear	nonlinear	ADJ
cana-5424	237	14	analysis	analysis	NOUN
cana-5424	237	15	issn	issn	NOUN
cana-5424	237	16	:	:	PUNCT
cana-5424	237	17	1074	1074	NUM
cana-5424	237	18	-	-	PUNCT
cana-5424	237	19	133x	133x	NUM
cana-5424	237	20	vol	vol	NOUN
cana-5424	237	21	32	32	NUM
cana-5424	237	22	no	no	NOUN
cana-5424	237	23	.	.	PUNCT
cana-5424	238	1	10s(2025	10s(2025	NUM
cana-5424	238	2	)	)	PUNCT
cana-5424	239	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	239	2	2244	2244	NUM
cana-5424	239	3	=	=	SYM
cana-5424	239	4	(	(	PUNCT
cana-5424	239	5	2	2	NUM
cana-5424	239	6	q31	q31	NOUN
cana-5424	239	7	[	[	PUNCT
cana-5424	239	8	ord1	ord1	NOUN
cana-5424	239	9	+	+	CCONJ
cana-5424	239	10	sm	sm	X
cana-5424	239	11	c	c	PROPN
cana-5424	239	12	d1	d1	PROPN
cana-5424	239	13	η	η	PROPN
cana-5424	239	14	+	+	PROPN
cana-5424	239	15	d1cl+	d1cl+	PROPN
cana-5424	239	16	νd1	νd1	NOUN
cana-5424	239	17	(	(	PUNCT
cana-5424	239	18	√	√	PROPN
cana-5424	239	19	σ2l	σ2l	NOUN
cana-5424	239	20	+	+	CCONJ
cana-5424	239	21	(	(	PUNCT
cana-5424	239	22	d1l)2	d1l)2	PROPN
cana-5424	239	23	+	+	CCONJ
cana-5424	239	24	δ2σ2l	δ2σ2l	NUM
cana-5424	239	25	−	−	PROPN
cana-5424	239	26	2d1lδσ	2d1lδσ	NUM
cana-5424	239	27	√	√	NUM
cana-5424	239	28	l	l	NOUN
cana-5424	239	29	)	)	PUNCT
cana-5424	239	30	]	]	PUNCT
cana-5424	239	31	)	)	PUNCT
cana-5424	239	32	(	(	PUNCT
cana-5424	239	33	2sm	2sm	NOUN
cana-5424	239	34	p	p	PROPN
cana-5424	239	35	d2	d2	PROPN
cana-5424	239	36	q32	q32	NOUN
cana-5424	239	37	)	)	PUNCT
cana-5424	239	38	>	>	X
cana-5424	239	39	0	0	PUNCT
cana-5424	240	1	the	the	DET
cana-5424	240	2	hessian	hessian	ADJ
cana-5424	240	3	matrix	matrix	NOUN
cana-5424	240	4	’s	’s	PART
cana-5424	240	5	|(htcd	|(htcd	PROPN
cana-5424	240	6	)	)	PUNCT
cana-5424	240	7	1|	1|	PROPN
cana-5424	240	8	,	,	PUNCT
cana-5424	240	9	principal	principal	ADJ
cana-5424	240	10	minor	minor	ADJ
cana-5424	240	11	of	of	ADP
cana-5424	240	12	the	the	DET
cana-5424	240	13	order	order	NOUN
cana-5424	240	14	3×	3×	NOUN
cana-5424	240	15	3	3	NUM
cana-5424	240	16	is	be	AUX
cana-5424	240	17	|((htcd	|((htcd	NOUN
cana-5424	240	18	)	)	PUNCT
cana-5424	240	19	1)3,3|(q∗1	1)3,3|(q∗1	NUM
cana-5424	240	20	,	,	PUNCT
cana-5424	240	21	q∗2	q∗2	PROPN
cana-5424	240	22	,	,	PUNCT
cana-5424	240	23	δ∗,ζ∗	δ∗,ζ∗	PROPN
cana-5424	240	24	)	)	PUNCT
cana-5424	240	25	=	=	SYM
cana-5424	241	1	∣∣∣∣∣∣∣	∣∣∣∣∣∣∣	PART
cana-5424	241	2	∂2tcd	∂2tcd	NOUN
cana-5424	241	3	∂q22	∂q22	NOUN
cana-5424	241	4	∂2tcd	∂2tcd	NOUN
cana-5424	241	5	∂q2∂δ	∂q2∂δ	PROPN
cana-5424	241	6	∂2tcd	∂2tcd	NOUN
cana-5424	241	7	∂q2∂ζ	∂q2∂ζ	PROPN
cana-5424	241	8	∂2tcd	∂2tcd	NOUN
cana-5424	241	9	∂δ∂q2	∂δ∂q2	PROPN
cana-5424	241	10	∂2tcd	∂2tcd	NOUN
cana-5424	241	11	∂δ2	∂δ2	VERB
cana-5424	241	12	∂2tcd	∂2tcd	NOUN
cana-5424	241	13	∂δ∂ζ	∂δ∂ζ	PROPN
cana-5424	241	14	∂2tcd	∂2tcd	NOUN
cana-5424	241	15	∂ζ∂q2	∂ζ∂q2	PRON
cana-5424	241	16	∂2tcd	∂2tcd	NOUN
cana-5424	241	17	∂ζ∂δ	∂ζ∂δ	ADJ
cana-5424	241	18	∂2tcd	∂2tcd	NOUN
cana-5424	241	19	∂ζ2	∂ζ2	ADV
cana-5424	241	20	∣∣∣∣∣∣∣	∣∣∣∣∣∣∣	PROPN
cana-5424	241	21	(	(	PUNCT
cana-5424	241	22	q∗1	q∗1	ADJ
cana-5424	241	23	,	,	PUNCT
cana-5424	241	24	q	q	NOUN
cana-5424	241	25	∗	∗	NOUN
cana-5424	241	26	2	2	NUM
cana-5424	241	27	,	,	PUNCT
cana-5424	241	28	δ	δ	PROPN
cana-5424	241	29	∗,ζ∗	∗,ζ∗	NOUN
cana-5424	241	30	)	)	PUNCT
cana-5424	241	31	|((htcd	|((htcd	NOUN
cana-5424	241	32	)	)	PUNCT
cana-5424	241	33	1)3,3|(q∗1	1)3,3|(q∗1	NUM
cana-5424	241	34	,	,	PUNCT
cana-5424	241	35	q∗2	q∗2	PROPN
cana-5424	241	36	,	,	PUNCT
cana-5424	241	37	δ∗,ζ∗	δ∗,ζ∗	PROPN
cana-5424	241	38	)	)	PUNCT
cana-5424	241	39	=	=	PRON
cana-5424	242	1	(	(	PUNCT
cana-5424	242	2	∂2tcd	∂2tcd	NOUN
cana-5424	242	3	∂q22	∂q22	NOUN
cana-5424	242	4	)	)	PUNCT
cana-5424	242	5	(	(	PUNCT
cana-5424	242	6	∂2tcd	∂2tcd	NOUN
cana-5424	242	7	∂δ2	∂δ2	NOUN
cana-5424	242	8	)	)	PUNCT
cana-5424	242	9	(	(	PUNCT
cana-5424	242	10	∂2tcd	∂2tcd	NOUN
cana-5424	242	11	∂ζ2	∂ζ2	ADV
cana-5424	242	12	)	)	PUNCT
cana-5424	242	13	=	=	SYM
cana-5424	243	1	(	(	PUNCT
cana-5424	243	2	2sm	2sm	NOUN
cana-5424	243	3	p	p	PROPN
cana-5424	243	4	d2	d2	PROPN
cana-5424	243	5	q32	q32	NOUN
cana-5424	243	6	)	)	PUNCT
cana-5424	243	7	νd1	νd1	NOUN
cana-5424	243	8	2q1	2q1	NUM
cana-5424	244	1			PROPN
cana-5424	244	2	σ4l2√	σ4l2√	PROPN
cana-5424	244	3	σ2l	σ2l	NOUN
cana-5424	244	4	+	+	CCONJ
cana-5424	244	5	(	(	PUNCT
cana-5424	244	6	d1l)2	d1l)2	PROPN
cana-5424	244	7	+	+	CCONJ
cana-5424	244	8	δ2σ2l	δ2σ2l	NUM
cana-5424	244	9	−	−	PROPN
cana-5424	244	10	2d1δlσ	2d1δlσ	NUM
cana-5424	244	11	√	√	PROPN
cana-5424	245	1	l	l	NOUN
cana-5424	245	2			PROPN
cana-5424	245	3	(	(	PUNCT
cana-5424	245	4	αb	αb	ADP
cana-5424	245	5	ζ2	ζ2	NOUN
cana-5424	245	6	)	)	PUNCT
cana-5424	245	7	>	>	X
cana-5424	245	8	0	0	PUNCT
cana-5424	246	1	the	the	DET
cana-5424	246	2	hessian	hessian	ADJ
cana-5424	246	3	matrix	matrix	NOUN
cana-5424	246	4	’s	’s	PART
cana-5424	246	5	|(htcd	|(htcd	PROPN
cana-5424	246	6	)	)	PUNCT
cana-5424	246	7	1|	1|	PROPN
cana-5424	246	8	,	,	PUNCT
cana-5424	246	9	principal	principal	ADJ
cana-5424	246	10	minor	minor	ADJ
cana-5424	246	11	of	of	ADP
cana-5424	246	12	the	the	DET
cana-5424	246	13	order	order	NOUN
cana-5424	246	14	4×	4×	NOUN
cana-5424	246	15	4	4	NUM
cana-5424	246	16	is	be	AUX
cana-5424	246	17	|((htcd	|((htcd	NOUN
cana-5424	246	18	)	)	PUNCT
cana-5424	246	19	1)4,4|(q∗1	1)4,4|(q∗1	NUM
cana-5424	246	20	,	,	PUNCT
cana-5424	246	21	q∗2	q∗2	PROPN
cana-5424	246	22	,	,	PUNCT
cana-5424	246	23	δ∗,ζ∗	δ∗,ζ∗	PROPN
cana-5424	246	24	)	)	PUNCT
cana-5424	246	25	=	=	SYM
cana-5424	247	1	∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣	PROPN
cana-5424	247	2	∂2tcd	∂2tcd	NOUN
cana-5424	247	3	∂q21	∂q21	ADJ
cana-5424	247	4	∂2tcd	∂2tcd	NOUN
cana-5424	247	5	∂q1∂q2	∂q1∂q2	ADJ
cana-5424	247	6	∂2tcd	∂2tcd	NOUN
cana-5424	247	7	∂q1∂δ	∂q1∂δ	ADJ
cana-5424	247	8	∂2tcd	∂2tcd	NOUN
cana-5424	247	9	∂q1∂ζ	∂q1∂ζ	ADJ
cana-5424	247	10	∂2tcd	∂2tcd	NOUN
cana-5424	247	11	∂q2∂q1	∂q2∂q1	NOUN
cana-5424	247	12	∂2tcd	∂2tcd	NOUN
cana-5424	247	13	∂q22	∂q22	NOUN
cana-5424	247	14	∂2tcd	∂2tcd	NOUN
cana-5424	247	15	∂q2∂δ	∂q2∂δ	PROPN
cana-5424	247	16	∂2tcd	∂2tcd	NOUN
cana-5424	247	17	∂q2∂ζ	∂q2∂ζ	NOUN
cana-5424	247	18	∂2tcd	∂2tcd	NOUN
cana-5424	247	19	∂δ∂q1	∂δ∂q1	NOUN
cana-5424	247	20	∂2tcd	∂2tcd	NOUN
cana-5424	247	21	∂δ∂q2	∂δ∂q2	NUM
cana-5424	247	22	∂2tcd	∂2tcd	NOUN
cana-5424	247	23	∂δ2	∂δ2	VERB
cana-5424	247	24	∂2tcd	∂2tcd	NOUN
cana-5424	247	25	∂δ∂ζ	∂δ∂ζ	NOUN
cana-5424	247	26	∂2tcd	∂2tcd	NOUN
cana-5424	247	27	∂ζ∂q1	∂ζ∂q1	NOUN
cana-5424	247	28	∂2tcd	∂2tcd	NOUN
cana-5424	247	29	∂ζ∂q2	∂ζ∂q2	CCONJ
cana-5424	247	30	∂2tcd	∂2tcd	NOUN
cana-5424	247	31	∂ζ∂δ	∂ζ∂δ	ADJ
cana-5424	247	32	∂2tcd	∂2tcd	NOUN
cana-5424	247	33	∂ζ2	∂ζ2	PROPN
cana-5424	247	34	∣∣∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣∣∣	PROPN
cana-5424	247	35	(	(	PUNCT
cana-5424	247	36	q∗1	q∗1	ADJ
cana-5424	247	37	,	,	PUNCT
cana-5424	247	38	q	q	NOUN
cana-5424	247	39	∗	∗	NOUN
cana-5424	247	40	2	2	NUM
cana-5424	247	41	,	,	PUNCT
cana-5424	247	42	δ	δ	PROPN
cana-5424	247	43	∗,ζ∗	∗,ζ∗	PROPN
cana-5424	247	44	)	)	PUNCT
cana-5424	248	1	=	=	PRON
cana-5424	248	2	(	(	PUNCT
cana-5424	248	3	∂2tcd	∂2tcd	NOUN
cana-5424	248	4	∂q21	∂q21	ADJ
cana-5424	248	5	)	)	PUNCT
cana-5424	248	6	(	(	PUNCT
cana-5424	248	7	∂2tcd	∂2tcd	PROPN
cana-5424	248	8	∂q22	∂q22	NOUN
cana-5424	248	9	)	)	PUNCT
cana-5424	248	10	(	(	PUNCT
cana-5424	248	11	∂2tcd	∂2tcd	NOUN
cana-5424	248	12	∂δ2	∂δ2	NOUN
cana-5424	248	13	)	)	PUNCT
cana-5424	248	14	(	(	PUNCT
cana-5424	248	15	∂2tcd	∂2tcd	NOUN
cana-5424	248	16	∂ζ2	∂ζ2	ADV
cana-5424	248	17	)	)	PUNCT
cana-5424	248	18	−	−	PROPN
cana-5424	248	19	(	(	PUNCT
cana-5424	248	20	∂2tcd	∂2tcd	NOUN
cana-5424	248	21	∂q22	∂q22	NOUN
cana-5424	248	22	)	)	PUNCT
cana-5424	248	23	(	(	PUNCT
cana-5424	248	24	∂2tcd	∂2tcd	NOUN
cana-5424	248	25	∂ζ2	∂ζ2	ADV
cana-5424	248	26	)	)	PUNCT
cana-5424	248	27	(	(	PUNCT
cana-5424	248	28	∂2tcd	∂2tcd	NOUN
cana-5424	248	29	∂δ∂q1	∂δ∂q1	NOUN
cana-5424	248	30	)	)	PUNCT
cana-5424	248	31	2	2	NUM
cana-5424	248	32	|(htcs	|(htcs	NOUN
cana-5424	248	33	)	)	PUNCT
cana-5424	248	34	1,1|	1,1|	NOUN
cana-5424	248	35	(	(	PUNCT
cana-5424	248	36	q∗1	q∗1	ADJ
cana-5424	248	37	,	,	PUNCT
cana-5424	248	38	δ∗	δ∗	PROPN
cana-5424	248	39	,	,	PUNCT
cana-5424	248	40	ζ∗	ζ∗	PROPN
cana-5424	248	41	)	)	PUNCT
cana-5424	248	42	=	=	PUNCT
cana-5424	248	43	∣∣∣∣∂2tcs	∣∣∣∣∂2tcs	PROPN
cana-5424	248	44	∂q21	∂q21	PROPN
cana-5424	248	45	∣∣∣∣	∣∣∣∣	PROPN
cana-5424	248	46	(	(	PUNCT
cana-5424	248	47	q∗1	q∗1	PROPN
cana-5424	248	48	,	,	PUNCT
cana-5424	248	49	δ	δ	PROPN
cana-5424	248	50	∗,ζ∗	∗,ζ∗	PROPN
cana-5424	248	51	)	)	PUNCT
cana-5424	248	52	=	=	SYM
cana-5424	248	53	2	2	NUM
cana-5424	248	54	q31	q31	NOUN
cana-5424	248	55	[	[	PUNCT
cana-5424	248	56	ord1	ord1	NOUN
cana-5424	248	57	+	+	CCONJ
cana-5424	248	58	sm	sm	X
cana-5424	248	59	c	c	PROPN
cana-5424	248	60	d1	d1	PROPN
cana-5424	248	61	η	η	PROPN
cana-5424	248	62	+	+	X
cana-5424	248	63	d1cl	d1cl	NUM
cana-5424	248	64	+	+	CCONJ
cana-5424	248	65	νd1	νd1	NOUN
cana-5424	248	66	(	(	PUNCT
cana-5424	248	67	√	√	PROPN
cana-5424	248	68	σ2l	σ2l	NOUN
cana-5424	248	69	+	+	CCONJ
cana-5424	248	70	(	(	PUNCT
cana-5424	248	71	d1l)2	d1l)2	PROPN
cana-5424	248	72	+	+	CCONJ
cana-5424	248	73	δ2σ2l	δ2σ2l	NUM
cana-5424	248	74	−	−	PROPN
cana-5424	248	75	2d1lδσ	2d1lδσ	NUM
cana-5424	248	76	√	√	NUM
cana-5424	248	77	l	l	NOUN
cana-5424	248	78	)	)	PUNCT
cana-5424	248	79	]	]	PUNCT
cana-5424	248	80	>	>	X
cana-5424	248	81	0	0	PUNCT
cana-5424	248	82	νd1	νd1	NOUN
cana-5424	248	83	2q1	2q1	NUM
cana-5424	249	1			PROPN
cana-5424	249	2	σ4l2√	σ4l2√	PROPN
cana-5424	249	3	σ2l	σ2l	NOUN
cana-5424	249	4	+	+	CCONJ
cana-5424	249	5	(	(	PUNCT
cana-5424	249	6	d1l)2	d1l)2	PROPN
cana-5424	249	7	+	+	CCONJ
cana-5424	249	8	δ2σ2l	δ2σ2l	NUM
cana-5424	249	9	−	−	PROPN
cana-5424	249	10	2d1δlσ	2d1δlσ	NUM
cana-5424	249	11	√	√	NUM
cana-5424	249	12	l	l	NOUN
cana-5424	249	13	−	−	PUNCT
cana-5424	249	14	(	(	PUNCT
cana-5424	249	15	2sm	2sm	NOUN
cana-5424	249	16	p	p	PROPN
cana-5424	249	17	d2	d2	PROPN
cana-5424	249	18	q32	q32	NOUN
cana-5424	249	19	)	)	PUNCT
cana-5424	249	20	(	(	PUNCT
cana-5424	249	21	αb	αb	NUM
cana-5424	249	22	ζ2	ζ2	NOUN
cana-5424	249	23	)	)	PUNCT
cana-5424	249	24	−νd1	−νd1	NOUN
cana-5424	249	25	2q21	2q21	NOUN
cana-5424	250	1			PROPN
cana-5424	250	2	δσ2l	δσ2l	PROPN
cana-5424	250	3	−	−	NOUN
cana-5424	250	4	d1lσ	d1lσ	NOUN
cana-5424	250	5	√	√	NOUN
cana-5424	250	6	l√	l√	NUM
cana-5424	250	7	σ2l	σ2l	NOUN
cana-5424	250	8	+	+	CCONJ
cana-5424	250	9	(	(	PUNCT
cana-5424	250	10	d1l)2	d1l)2	PROPN
cana-5424	250	11	+	+	CCONJ
cana-5424	250	12	δ2σ2l	δ2σ2l	NUM
cana-5424	250	13	−	−	PROPN
cana-5424	250	14	2d1lδσ	2d1lδσ	NUM
cana-5424	250	15	√	√	NUM
cana-5424	250	16	l	l	NOUN
cana-5424	250	17	−	−	PROPN
cana-5424	251	1	σ	σ	NOUN
cana-5424	251	2	√	√	PROPN
cana-5424	251	3	l	l	NOUN
cana-5424	251	4	2	2	X
cana-5424	251	5	>	>	PUNCT
cana-5424	251	6	0	0	PUNCT
cana-5424	252	1	=	=	ADJ
cana-5424	252	2	⇒	⇒	NOUN
cana-5424	252	3	(	(	PUNCT
cana-5424	252	4	2	2	NUM
cana-5424	252	5	q31	q31	NOUN
cana-5424	252	6	[	[	PUNCT
cana-5424	252	7	ord1	ord1	NOUN
cana-5424	252	8	+	+	CCONJ
cana-5424	252	9	sm	sm	X
cana-5424	252	10	c	c	PROPN
cana-5424	252	11	d1	d1	PROPN
cana-5424	252	12	η	η	PROPN
cana-5424	252	13	+	+	PROPN
cana-5424	252	14	d1cl+	d1cl+	PROPN
cana-5424	252	15	νd1	νd1	NOUN
cana-5424	252	16	(	(	PUNCT
cana-5424	252	17	√	√	PROPN
cana-5424	252	18	σ2l	σ2l	NOUN
cana-5424	252	19	+	+	CCONJ
cana-5424	252	20	(	(	PUNCT
cana-5424	252	21	d1l)2	d1l)2	PROPN
cana-5424	252	22	+	+	CCONJ
cana-5424	252	23	δ2σ2l	δ2σ2l	NUM
cana-5424	252	24	−	−	PROPN
cana-5424	252	25	2d1lδσ	2d1lδσ	NUM
cana-5424	252	26	√	√	NUM
cana-5424	252	27	l	l	NOUN
cana-5424	252	28	)	)	PUNCT
cana-5424	252	29	]	]	X
cana-5424	252	30	)	)	PUNCT
cana-5424	252	31	communications	communication	NOUN
cana-5424	252	32	on	on	ADP
cana-5424	252	33	applied	apply	VERB
cana-5424	252	34	nonlinear	nonlinear	ADJ
cana-5424	252	35	analysis	analysis	NOUN
cana-5424	252	36	issn	issn	NOUN
cana-5424	252	37	:	:	PUNCT
cana-5424	252	38	1074	1074	NUM
cana-5424	252	39	-	-	PUNCT
cana-5424	252	40	133x	133x	NUM
cana-5424	252	41	vol	vol	NOUN
cana-5424	252	42	32	32	NUM
cana-5424	252	43	no	no	NOUN
cana-5424	252	44	.	.	PUNCT
cana-5424	253	1	10s(2025	10s(2025	NUM
cana-5424	253	2	)	)	PUNCT
cana-5424	254	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	254	2	2245	2245	NUM
cana-5424	254	3	νd1	νd1	NOUN
cana-5424	254	4	2q1	2q1	NUM
cana-5424	255	1			PROPN
cana-5424	255	2	σ4l2√	σ4l2√	PROPN
cana-5424	255	3	σ2l	σ2l	NOUN
cana-5424	255	4	+	+	CCONJ
cana-5424	255	5	(	(	PUNCT
cana-5424	255	6	d1l)2	d1l)2	PROPN
cana-5424	255	7	+	+	CCONJ
cana-5424	255	8	δ2σ2l	δ2σ2l	NUM
cana-5424	255	9	−	−	PROPN
cana-5424	255	10	2d1δlσ	2d1δlσ	NUM
cana-5424	255	11	√	√	PROPN
cana-5424	256	1	l	l	PROPN
cana-5424	256	2			PROPN
cana-5424	256	3	>	>	X
cana-5424	256	4	−νd1	−νd1	SYM
cana-5424	256	5	2q21	2q21	NOUN
cana-5424	256	6			PROPN
cana-5424	256	7	δσ2l	δσ2l	PROPN
cana-5424	256	8	−	−	NOUN
cana-5424	256	9	d1lσ	d1lσ	NOUN
cana-5424	256	10	√	√	NOUN
cana-5424	256	11	l√	l√	NUM
cana-5424	257	1	σ2l	σ2l	NOUN
cana-5424	257	2	+	+	CCONJ
cana-5424	257	3	(	(	PUNCT
cana-5424	257	4	d1l)2	d1l)2	PROPN
cana-5424	257	5	+	+	CCONJ
cana-5424	257	6	δ2σ2l	δ2σ2l	NUM
cana-5424	257	7	−	−	PROPN
cana-5424	257	8	2d1lδσ	2d1lδσ	NUM
cana-5424	258	1	√	√	NUM
cana-5424	258	2	l	l	NOUN
cana-5424	258	3	−	−	PROPN
cana-5424	259	1	σ	σ	NOUN
cana-5424	259	2	√	√	PROPN
cana-5424	259	3	l	l	NOUN
cana-5424	259	4	2	2	PROPN
cana-5424	259	5	since	since	SCONJ
cana-5424	259	6	the	the	DET
cana-5424	259	7	hessian	hessian	ADJ
cana-5424	259	8	matrix	matrix	NOUN
cana-5424	259	9	’s	’s	PART
cana-5424	259	10	every	every	DET
cana-5424	259	11	single	single	ADJ
cana-5424	259	12	principal	principal	ADJ
cana-5424	259	13	minor	minor	ADJ
cana-5424	259	14	is	be	AUX
cana-5424	259	15	positive	positive	ADJ
cana-5424	259	16	,	,	PUNCT
cana-5424	259	17	therefore	therefore	ADV
cana-5424	259	18	,	,	PUNCT
cana-5424	259	19	at	at	ADP
cana-5424	259	20	(	(	PUNCT
cana-5424	259	21	q∗1	q∗1	ADJ
cana-5424	259	22	,	,	PUNCT
cana-5424	259	23	q	q	NOUN
cana-5424	259	24	∗	∗	NOUN
cana-5424	259	25	2	2	NUM
cana-5424	259	26	,	,	PUNCT
cana-5424	259	27	δ	δ	PROPN
cana-5424	259	28	∗	∗	NOUN
cana-5424	259	29	,	,	PUNCT
cana-5424	259	30	ζ∗	ζ∗	PROPN
cana-5424	259	31	)	)	PUNCT
cana-5424	259	32	,	,	PUNCT
cana-5424	259	33	(	(	PUNCT
cana-5424	259	34	htcd	htcd	NOUN
cana-5424	259	35	)	)	PUNCT
cana-5424	259	36	1	1	NUM
cana-5424	259	37	is	be	AUX
cana-5424	259	38	positive	positive	ADJ
cana-5424	259	39	definite	definite	ADJ
cana-5424	259	40	.	.	PUNCT
cana-5424	260	1	moreover	moreover	ADV
cana-5424	260	2	,	,	PUNCT
cana-5424	260	3	at	at	ADP
cana-5424	260	4	the	the	DET
cana-5424	260	5	same	same	ADJ
cana-5424	260	6	point	point	NOUN
cana-5424	260	7	,	,	PUNCT
cana-5424	260	8	the	the	DET
cana-5424	260	9	total	total	ADJ
cana-5424	260	10	cost	cost	NOUN
cana-5424	260	11	of	of	ADP
cana-5424	260	12	the	the	DET
cana-5424	260	13	firm	firm	NOUN
cana-5424	260	14	offering	offer	VERB
cana-5424	260	15	a	a	DET
cana-5424	260	16	product	product	NOUN
cana-5424	260	17	online	online	ADV
cana-5424	260	18	along	along	ADP
cana-5424	260	19	with	with	ADP
cana-5424	260	20	a	a	DET
cana-5424	260	21	traditional	traditional	ADJ
cana-5424	260	22	platform	platform	NOUN
cana-5424	260	23	obtains	obtain	VERB
cana-5424	260	24	its	its	PRON
cana-5424	260	25	global	global	ADJ
cana-5424	260	26	minimum	minimum	NOUN
cana-5424	260	27	.	.	PUNCT
cana-5424	261	1	computation	computation	NOUN
cana-5424	261	2	of	of	ADP
cana-5424	261	3	proposition	proposition	NOUN
cana-5424	261	4	2	2	NUM
cana-5424	261	5	underneath	underneath	ADP
cana-5424	261	6	mentioned	mention	VERB
cana-5424	261	7	is	be	AUX
cana-5424	261	8	the	the	DET
cana-5424	261	9	hessian	hessian	ADJ
cana-5424	261	10	matrix	matrix	NOUN
cana-5424	261	11	h	h	NOUN
cana-5424	261	12	for	for	ADP
cana-5424	261	13	the	the	DET
cana-5424	261	14	retailing	retailing	NOUN
cana-5424	261	15	system	system	NOUN
cana-5424	261	16	with	with	ADP
cana-5424	261	17	single	single	ADJ
cana-5424	261	18	-	-	PUNCT
cana-5424	261	19	route	route	NOUN
cana-5424	261	20	.	.	PUNCT
cana-5424	262	1	the	the	DET
cana-5424	262	2	hessian	hessian	ADJ
cana-5424	262	3	matrix	matrix	NOUN
cana-5424	262	4	h	h	NOUN
cana-5424	262	5	for	for	ADP
cana-5424	262	6	retailing	retailing	NOUN
cana-5424	262	7	system	system	NOUN
cana-5424	262	8	having	have	VERB
cana-5424	262	9	single	single	ADJ
cana-5424	262	10	-	-	PUNCT
cana-5424	262	11	channel	channel	NOUN
cana-5424	262	12	is	be	AUX
cana-5424	262	13	given	give	VERB
cana-5424	262	14	as	as	ADP
cana-5424	262	15	(	(	PUNCT
cana-5424	262	16	htcs	htcs	NOUN
cana-5424	262	17	)	)	PUNCT
cana-5424	262	18	2	2	NUM
cana-5424	262	19	=	=	SYM
cana-5424	262	20			PUNCT
cana-5424	262	21	∂2tcs	∂2tcs	NOUN
cana-5424	262	22	∂q21	∂q21	ADJ
cana-5424	262	23	∂2tcs	∂2tcs	NOUN
cana-5424	263	1	∂q1∂δ	∂q1∂δ	PROPN
cana-5424	263	2	∂2tcs	∂2tcs	NUM
cana-5424	264	1	∂q1∂ζ	∂q1∂ζ	NOUN
cana-5424	264	2	∂2tcs	∂2tcs	NUM
cana-5424	264	3	∂δ∂q1	∂δ∂q1	NOUN
cana-5424	264	4	∂2tcs	∂2tcs	NOUN
cana-5424	265	1	∂δ2	∂δ2	NOUN
cana-5424	265	2	∂2tcs	∂2tcs	NOUN
cana-5424	265	3	∂δ∂ζ	∂δ∂ζ	PROPN
cana-5424	265	4	∂2tcs	∂2tcs	PROPN
cana-5424	265	5	∂ζ∂q1	∂ζ∂q1	NOUN
cana-5424	265	6	∂2tcs	∂2tcs	X
cana-5424	265	7	∂ζ∂δ	∂ζ∂δ	ADJ
cana-5424	265	8	∂2tcs	∂2tcs	NOUN
cana-5424	266	1	∂ζ2	∂ζ2	ADV
cana-5424	266	2			ADP
cana-5424	266	3	where	where	SCONJ
cana-5424	266	4	,	,	PUNCT
cana-5424	266	5	∂2tcs	∂2tcs	X
cana-5424	266	6	∂q21	∂q21	NOUN
cana-5424	266	7	=	=	NOUN
cana-5424	266	8	2	2	NUM
cana-5424	266	9	q31	q31	NOUN
cana-5424	266	10	[	[	PUNCT
cana-5424	266	11	ord1	ord1	NOUN
cana-5424	266	12	+	+	CCONJ
cana-5424	266	13	sm	sm	X
cana-5424	266	14	c	c	PROPN
cana-5424	266	15	d1	d1	PROPN
cana-5424	266	16	η	η	PROPN
cana-5424	266	17	+	+	PROPN
cana-5424	266	18	d1cl+	d1cl+	PROPN
cana-5424	266	19	νd1	νd1	NOUN
cana-5424	266	20	(	(	PUNCT
cana-5424	266	21	√	√	PROPN
cana-5424	266	22	σ2l	σ2l	NOUN
cana-5424	266	23	+	+	CCONJ
cana-5424	266	24	(	(	PUNCT
cana-5424	266	25	d1l)2	d1l)2	PROPN
cana-5424	266	26	+	+	CCONJ
cana-5424	266	27	δ2σ2l	δ2σ2l	NUM
cana-5424	266	28	−	−	PROPN
cana-5424	266	29	2d1lδσ	2d1lδσ	NUM
cana-5424	266	30	√	√	NUM
cana-5424	266	31	l	l	NOUN
cana-5424	266	32	)	)	PUNCT
cana-5424	266	33	]	]	PUNCT
cana-5424	266	34	,	,	PUNCT
cana-5424	266	35	∂2tcs	∂2tcs	NOUN
cana-5424	266	36	∂q1∂δ	∂q1∂δ	NOUN
cana-5424	266	37	=	=	SYM
cana-5424	266	38	−νd1	−νd1	PROPN
cana-5424	266	39	2q21	2q21	NUM
cana-5424	266	40			PROPN
cana-5424	266	41	δσ2l	δσ2l	VERB
cana-5424	266	42	−	−	NOUN
cana-5424	266	43	d1lσ	d1lσ	NOUN
cana-5424	266	44	√	√	NOUN
cana-5424	266	45	l√	l√	NUM
cana-5424	267	1	σ2l	σ2l	NOUN
cana-5424	267	2	+	+	CCONJ
cana-5424	267	3	(	(	PUNCT
cana-5424	267	4	d1l)2	d1l)2	PROPN
cana-5424	267	5	+	+	CCONJ
cana-5424	267	6	δ2σ2l	δ2σ2l	NUM
cana-5424	267	7	−	−	PROPN
cana-5424	267	8	2d1lδσ	2d1lδσ	NUM
cana-5424	268	1	√	√	NUM
cana-5424	268	2	l	l	NOUN
cana-5424	268	3	−	−	PROPN
cana-5424	269	1	σ	σ	NOUN
cana-5424	269	2	√	√	NOUN
cana-5424	269	3	l	l	NOUN
cana-5424	269	4			NOUN
cana-5424	269	5	,	,	PUNCT
cana-5424	270	1	∂2tcs	∂2tcs	X
cana-5424	270	2	∂q1∂ζ	∂q1∂ζ	NOUN
cana-5424	271	1	=	=	PUNCT
cana-5424	272	1	sd1η	sd1η	ADJ
cana-5424	272	2	2	2	NUM
cana-5424	272	3	,	,	PUNCT
cana-5424	272	4	∂2tcs	∂2tcs	NOUN
cana-5424	273	1	∂δ2	∂δ2	NOUN
cana-5424	274	1	=	=	PUNCT
cana-5424	275	1	νd1	νd1	NOUN
cana-5424	276	1	2q1	2q1	NUM
cana-5424	276	2			PROPN
cana-5424	276	3	σ4l2√	σ4l2√	NOUN
cana-5424	276	4	σ2l	σ2l	NOUN
cana-5424	276	5	+	+	CCONJ
cana-5424	276	6	(	(	PUNCT
cana-5424	276	7	d1l)2	d1l)2	PROPN
cana-5424	276	8	+	+	CCONJ
cana-5424	276	9	δ2σ2l	δ2σ2l	NUM
cana-5424	276	10	−	−	PROPN
cana-5424	276	11	2d1lδσ	2d1lδσ	NUM
cana-5424	276	12	√	√	NUM
cana-5424	276	13	l	l	NOUN
cana-5424	276	14			NOUN
cana-5424	276	15	,	,	PUNCT
cana-5424	276	16	∂2tcs	∂2tcs	NOUN
cana-5424	276	17	∂δ∂ζ	∂δ∂ζ	NOUN
cana-5424	276	18	=	=	SYM
cana-5424	276	19	∂2tcs	∂2tcs	NUM
cana-5424	276	20	∂ζ∂δ	∂ζ∂δ	NOUN
cana-5424	276	21	=	=	SYM
cana-5424	276	22	0	0	NUM
cana-5424	276	23	,	,	PUNCT
cana-5424	276	24	∂2tcs	∂2tcs	X
cana-5424	277	1	∂ζ2	∂ζ2	NOUN
cana-5424	277	2	=	=	PUNCT
cana-5424	277	3	αb	αb	ADP
cana-5424	277	4	ζ2	ζ2	NOUN
cana-5424	277	5	.	.	PUNCT
cana-5424	278	1	the	the	DET
cana-5424	278	2	hessian	hessian	ADJ
cana-5424	278	3	matrix	matrix	NOUN
cana-5424	278	4	’s	’s	PART
cana-5424	278	5	|(htcs	|(htcs	PROPN
cana-5424	278	6	)	)	PUNCT
cana-5424	278	7	2|	2|	NUM
cana-5424	278	8	,	,	PUNCT
cana-5424	278	9	principal	principal	ADJ
cana-5424	278	10	minor	minor	ADJ
cana-5424	278	11	of	of	ADP
cana-5424	278	12	the	the	DET
cana-5424	278	13	order	order	NOUN
cana-5424	278	14	1×	1×	X
cana-5424	278	15	1	1	NUM
cana-5424	278	16	is	be	AUX
cana-5424	278	17	|(htcs	|(htcs	NOUN
cana-5424	278	18	)	)	PUNCT
cana-5424	279	1	1,1|	1,1|	PROPN
cana-5424	279	2	(	(	PUNCT
cana-5424	279	3	q∗1	q∗1	ADJ
cana-5424	279	4	,	,	PUNCT
cana-5424	279	5	δ∗	δ∗	PROPN
cana-5424	279	6	,	,	PUNCT
cana-5424	279	7	ζ∗	ζ∗	PROPN
cana-5424	279	8	)	)	PUNCT
cana-5424	279	9	=	=	PUNCT
cana-5424	280	1	∣∣∣∣∂2tcs	∣∣∣∣∂2tcs	PROPN
cana-5424	280	2	∂q21	∂q21	PROPN
cana-5424	280	3	∣∣∣∣	∣∣∣∣	PROPN
cana-5424	280	4	(	(	PUNCT
cana-5424	280	5	q∗1	q∗1	PROPN
cana-5424	280	6	,	,	PUNCT
cana-5424	280	7	δ	δ	PROPN
cana-5424	280	8	∗,ζ∗	∗,ζ∗	PROPN
cana-5424	280	9	)	)	PUNCT
cana-5424	280	10	=	=	SYM
cana-5424	280	11	2	2	NUM
cana-5424	280	12	q31	q31	NOUN
cana-5424	280	13	[	[	PUNCT
cana-5424	280	14	ord1	ord1	NOUN
cana-5424	280	15	+	+	CCONJ
cana-5424	280	16	sm	sm	X
cana-5424	280	17	c	c	PROPN
cana-5424	280	18	d1	d1	PROPN
cana-5424	280	19	η	η	PROPN
cana-5424	280	20	+	+	X
cana-5424	280	21	d1cl	d1cl	NUM
cana-5424	280	22	+	+	CCONJ
cana-5424	280	23	νd1	νd1	NOUN
cana-5424	280	24	(	(	PUNCT
cana-5424	280	25	√	√	PROPN
cana-5424	280	26	σ2l	σ2l	NOUN
cana-5424	280	27	+	+	CCONJ
cana-5424	280	28	(	(	PUNCT
cana-5424	280	29	d1l)2	d1l)2	PROPN
cana-5424	280	30	+	+	CCONJ
cana-5424	280	31	δ2σ2l	δ2σ2l	NUM
cana-5424	280	32	−	−	PROPN
cana-5424	280	33	2d1lδσ	2d1lδσ	NUM
cana-5424	280	34	√	√	NUM
cana-5424	280	35	l	l	NOUN
cana-5424	280	36	)	)	PUNCT
cana-5424	280	37	>	>	SYM
cana-5424	280	38	0	0	NUM
cana-5424	280	39	communications	communication	NOUN
cana-5424	280	40	on	on	ADP
cana-5424	280	41	applied	apply	VERB
cana-5424	280	42	nonlinear	nonlinear	ADJ
cana-5424	280	43	analysis	analysis	NOUN
cana-5424	280	44	issn	issn	NOUN
cana-5424	280	45	:	:	PUNCT
cana-5424	280	46	1074	1074	NUM
cana-5424	280	47	-	-	PUNCT
cana-5424	280	48	133x	133x	NUM
cana-5424	280	49	vol	vol	NOUN
cana-5424	280	50	32	32	NUM
cana-5424	280	51	no	no	NOUN
cana-5424	280	52	.	.	PUNCT
cana-5424	281	1	10s(2025	10s(2025	NUM
cana-5424	281	2	)	)	PUNCT
cana-5424	281	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	281	4	2246	2246	NUM
cana-5424	281	5	the	the	DET
cana-5424	281	6	hessian	hessian	ADJ
cana-5424	281	7	matrix	matrix	NOUN
cana-5424	281	8	’s	’s	PART
cana-5424	281	9	|(htcs	|(htcs	PROPN
cana-5424	281	10	)	)	PUNCT
cana-5424	281	11	2|	2|	NUM
cana-5424	281	12	,	,	PUNCT
cana-5424	281	13	principal	principal	ADJ
cana-5424	281	14	minor	minor	ADJ
cana-5424	281	15	of	of	ADP
cana-5424	281	16	the	the	DET
cana-5424	281	17	order	order	NOUN
cana-5424	281	18	2×	2×	NUM
cana-5424	281	19	2	2	NUM
cana-5424	281	20	is	be	AUX
cana-5424	281	21	|(htcs	|(htcs	NOUN
cana-5424	281	22	)	)	PUNCT
cana-5424	281	23	2,2|	2,2|	PROPN
cana-5424	281	24	(	(	PUNCT
cana-5424	281	25	q∗1	q∗1	NOUN
cana-5424	281	26	,	,	PUNCT
cana-5424	281	27	δ∗	δ∗	PROPN
cana-5424	281	28	,	,	PUNCT
cana-5424	281	29	ζ∗	ζ∗	PROPN
cana-5424	281	30	)	)	PUNCT
cana-5424	281	31	=	=	PUNCT
cana-5424	282	1	∣∣∣∣∣	∣∣∣∣∣	NOUN
cana-5424	282	2	∂2tcs	∂2tcs	NOUN
cana-5424	283	1	∂δ2	∂δ2	NOUN
cana-5424	283	2	∂2tcs	∂2tcs	NOUN
cana-5424	283	3	∂δ∂ζ	∂δ∂ζ	PROPN
cana-5424	283	4	∂2tcs	∂2tcs	X
cana-5424	283	5	∂ζ∂δ	∂ζ∂δ	ADJ
cana-5424	283	6	∂2tcs	∂2tcs	NOUN
cana-5424	284	1	∂ζ2	∂ζ2	ADV
cana-5424	284	2	∣∣∣∣∣	∣∣∣∣∣	PROPN
cana-5424	284	3	(	(	PUNCT
cana-5424	284	4	q∗1	q∗1	ADJ
cana-5424	284	5	,	,	PUNCT
cana-5424	284	6	δ	δ	PROPN
cana-5424	284	7	∗,ζ∗	∗,ζ∗	PROPN
cana-5424	284	8	)	)	PUNCT
cana-5424	285	1	=	=	PRON
cana-5424	285	2	(	(	PUNCT
cana-5424	285	3	∂2tcs	∂2tcs	NOUN
cana-5424	285	4	∂δ2	∂δ2	NOUN
cana-5424	285	5	)	)	PUNCT
cana-5424	285	6	(	(	PUNCT
cana-5424	285	7	∂2tcs	∂2tcs	X
cana-5424	285	8	∂ζ2	∂ζ2	ADV
cana-5424	285	9	)	)	PUNCT
cana-5424	285	10	−	−	PROPN
cana-5424	286	1	(	(	PUNCT
cana-5424	286	2	∂2tcs	∂2tcs	NOUN
cana-5424	286	3	∂δ∂ζ	∂δ∂ζ	PROPN
cana-5424	286	4	)	)	PUNCT
cana-5424	286	5	(	(	PUNCT
cana-5424	286	6	∂2tcs	∂2tcs	NUM
cana-5424	286	7	∂ζ∂δ	∂ζ∂δ	ADJ
cana-5424	286	8	)	)	PUNCT
cana-5424	287	1	=	=	SYM
cana-5424	287	2	νd1αb	νd1αb	PROPN
cana-5424	287	3	2q1ζ2	2q1ζ2	NUM
cana-5424	287	4			PROPN
cana-5424	287	5	σ4l2√	σ4l2√	PRON
cana-5424	287	6	σ2l	σ2l	NOUN
cana-5424	287	7	+	+	CCONJ
cana-5424	287	8	(	(	PUNCT
cana-5424	287	9	d1l)2	d1l)2	PROPN
cana-5424	287	10	+	+	CCONJ
cana-5424	287	11	δ2σ2l	δ2σ2l	NUM
cana-5424	287	12	−	−	PROPN
cana-5424	287	13	2d1lδσ	2d1lδσ	NUM
cana-5424	287	14	√	√	NUM
cana-5424	287	15	l	l	NOUN
cana-5424	288	1			PROPN
cana-5424	288	2	>	>	X
cana-5424	288	3	0	0	PUNCT
cana-5424	289	1	the	the	DET
cana-5424	289	2	hessian	hessian	ADJ
cana-5424	289	3	matrix	matrix	NOUN
cana-5424	289	4	’s	’s	PART
cana-5424	289	5	∣∣(htcs)2	∣∣(htcs)2	NOUN
cana-5424	289	6	∣∣	∣∣	PROPN
cana-5424	289	7	,	,	PUNCT
cana-5424	289	8	principal	principal	ADJ
cana-5424	289	9	minor	minor	ADJ
cana-5424	289	10	of	of	ADP
cana-5424	289	11	the	the	DET
cana-5424	289	12	order	order	NOUN
cana-5424	289	13	3×	3×	NOUN
cana-5424	289	14	3	3	NUM
cana-5424	289	15	is	be	AUX
cana-5424	289	16	|(htcs	|(htcs	NOUN
cana-5424	289	17	)	)	PUNCT
cana-5424	289	18	3,3|(q∗1	3,3|(q∗1	NUM
cana-5424	289	19	,	,	PUNCT
cana-5424	289	20	δ∗,ζ∗	δ∗,ζ∗	PROPN
cana-5424	289	21	)	)	PUNCT
cana-5424	289	22	=	=	SYM
cana-5424	290	1	∣∣∣∣∣∣∣	∣∣∣∣∣∣∣	PROPN
cana-5424	290	2	∂2tc	∂2tc	VERB
cana-5424	290	3	∂q21	∂q21	ADJ
cana-5424	290	4	∂2tc	∂2tc	NOUN
cana-5424	290	5	∂q1∂δ	∂q1∂δ	PROPN
cana-5424	290	6	∂2tc	∂2tc	VERB
cana-5424	290	7	∂q1∂ζ	∂q1∂ζ	NOUN
cana-5424	290	8	∂2tc	∂2tc	NOUN
cana-5424	290	9	∂δ∂q1	∂δ∂q1	NOUN
cana-5424	290	10	∂2tc	∂2tc	VERB
cana-5424	290	11	∂δ2	∂δ2	NOUN
cana-5424	290	12	∂2tc	∂2tc	NOUN
cana-5424	291	1	∂δ∂ζ	∂δ∂ζ	PROPN
cana-5424	291	2	∂2tc	∂2tc	NOUN
cana-5424	291	3	∂ζ∂q1	∂ζ∂q1	NOUN
cana-5424	291	4	∂2tc	∂2tc	VERB
cana-5424	291	5	∂ζ∂δ	∂ζ∂δ	ADJ
cana-5424	291	6	∂2tc	∂2tc	VERB
cana-5424	291	7	∂ζ2	∂ζ2	ADV
cana-5424	291	8	∣∣∣∣∣∣∣	∣∣∣∣∣∣∣	NOUN
cana-5424	291	9	=	=	SYM
cana-5424	291	10	(	(	PUNCT
cana-5424	291	11	∂2tc	∂2tc	NOUN
cana-5424	291	12	∂q21	∂q21	PROPN
cana-5424	291	13	)	)	PUNCT
cana-5424	291	14	(	(	PUNCT
cana-5424	291	15	∂2tc	∂2tc	VERB
cana-5424	291	16	∂δ2	∂δ2	NOUN
cana-5424	291	17	)	)	PUNCT
cana-5424	291	18	(	(	PUNCT
cana-5424	291	19	∂2tc	∂2tc	VERB
cana-5424	291	20	∂ζ2	∂ζ2	ADV
cana-5424	291	21	)	)	PUNCT
cana-5424	291	22	−	−	PROPN
cana-5424	292	1	(	(	PUNCT
cana-5424	292	2	∂2tc	∂2tc	NOUN
cana-5424	292	3	∂q1∂δ	∂q1∂δ	PROPN
cana-5424	292	4	)	)	PUNCT
cana-5424	292	5	(	(	PUNCT
cana-5424	292	6	∂2tc	∂2tc	NOUN
cana-5424	292	7	∂δ∂q1	∂δ∂q1	NOUN
cana-5424	292	8	)	)	PUNCT
cana-5424	292	9	(	(	PUNCT
cana-5424	292	10	∂2tc	∂2tc	VERB
cana-5424	292	11	∂ζ2	∂ζ2	ADV
cana-5424	292	12	)	)	PUNCT
cana-5424	293	1	+	+	CCONJ
cana-5424	293	2	(	(	PUNCT
cana-5424	293	3	∂2tc	∂2tc	VERB
cana-5424	293	4	∂q1∂ζ	∂q1∂ζ	PROPN
cana-5424	293	5	)	)	PUNCT
cana-5424	293	6	(	(	PUNCT
cana-5424	293	7	−∂	−∂	ADV
cana-5424	293	8	2tc	2tc	NOUN
cana-5424	293	9	∂ζ∂q1	∂ζ∂q1	NOUN
cana-5424	293	10	)	)	PUNCT
cana-5424	293	11	(	(	PUNCT
cana-5424	293	12	∂2tc	∂2tc	VERB
cana-5424	293	13	∂δ2	∂δ2	NOUN
cana-5424	293	14	)	)	PUNCT
cana-5424	293	15	2	2	NUM
cana-5424	293	16	q31	q31	NOUN
cana-5424	293	17	[	[	PUNCT
cana-5424	293	18	ord1	ord1	NOUN
cana-5424	293	19	+	+	CCONJ
cana-5424	293	20	sm	sm	X
cana-5424	293	21	c	c	PROPN
cana-5424	293	22	d1	d1	PROPN
cana-5424	293	23	η	η	PROPN
cana-5424	293	24	+	+	PROPN
cana-5424	293	25	d1cl+	d1cl+	PROPN
cana-5424	293	26	νd1	νd1	NOUN
cana-5424	293	27	(	(	PUNCT
cana-5424	293	28	√	√	PROPN
cana-5424	293	29	σ2l	σ2l	NOUN
cana-5424	293	30	+	+	CCONJ
cana-5424	293	31	(	(	PUNCT
cana-5424	293	32	d1l)2	d1l)2	PROPN
cana-5424	293	33	+	+	CCONJ
cana-5424	293	34	δ2σ2l	δ2σ2l	NUM
cana-5424	293	35	−	−	PROPN
cana-5424	293	36	2d1lδσ	2d1lδσ	NUM
cana-5424	293	37	√	√	NUM
cana-5424	293	38	l	l	NOUN
cana-5424	293	39	)	)	PUNCT
cana-5424	293	40	]	]	PUNCT
cana-5424	293	41	(	(	PUNCT
cana-5424	293	42	νd1	νd1	NOUN
cana-5424	293	43	2q1	2q1	NUM
cana-5424	293	44	)	)	PUNCT
cana-5424	293	45	(	(	PUNCT
cana-5424	293	46	αb	αb	NUM
cana-5424	293	47	ζ2	ζ2	NOUN
cana-5424	293	48	)	)	PUNCT
cana-5424	293	49			PROPN
cana-5424	293	50	σ4l2√	σ4l2√	PROPN
cana-5424	293	51	σ2l	σ2l	NOUN
cana-5424	293	52	+	+	CCONJ
cana-5424	293	53	(	(	PUNCT
cana-5424	293	54	d1l)2	d1l)2	PROPN
cana-5424	293	55	+	+	CCONJ
cana-5424	293	56	δ2σ2l	δ2σ2l	NUM
cana-5424	293	57	−	−	PROPN
cana-5424	293	58	2d1δlσ	2d1δlσ	NUM
cana-5424	293	59	√	√	NUM
cana-5424	294	1	l	l	NOUN
cana-5424	294	2			NOUN
cana-5424	294	3	−	−	PROPN
cana-5424	294	4	(	(	PUNCT
cana-5424	294	5	νd1	νd1	NOUN
cana-5424	294	6	2q21	2q21	NUM
cana-5424	294	7	)	)	PUNCT
cana-5424	294	8	2	2	NUM
cana-5424	294	9			NOUN
cana-5424	294	10	δσ2l	δσ2l	NOUN
cana-5424	294	11	−	−	NOUN
cana-5424	294	12	d1lσ	d1lσ	NOUN
cana-5424	294	13	√	√	NOUN
cana-5424	294	14	l√	l√	NUM
cana-5424	294	15	σ2l	σ2l	NOUN
cana-5424	294	16	+	+	CCONJ
cana-5424	294	17	(	(	PUNCT
cana-5424	294	18	d1l)2	d1l)2	PROPN
cana-5424	294	19	+	+	CCONJ
cana-5424	294	20	δ2σ2l	δ2σ2l	NUM
cana-5424	294	21	−	−	PROPN
cana-5424	294	22	2d1δlσ	2d1δlσ	NUM
cana-5424	294	23	√	√	NUM
cana-5424	295	1	l	l	NOUN
cana-5424	295	2	−	−	PROPN
cana-5424	295	3	σ	σ	NOUN
cana-5424	295	4	√	√	NUM
cana-5424	295	5	l	l	NOUN
cana-5424	295	6	2	2	NOUN
cana-5424	295	7	(	(	PUNCT
cana-5424	295	8	αb	αb	NOUN
cana-5424	295	9	ζ2	ζ2	NOUN
cana-5424	295	10	)	)	PUNCT
cana-5424	296	1	+	+	CCONJ
cana-5424	296	2	(	(	PUNCT
cana-5424	296	3	sd1η	sd1η	ADJ
cana-5424	296	4	2	2	NUM
cana-5424	296	5	)	)	SYM
cana-5424	296	6	2	2	NUM
cana-5424	296	7	νd1	νd1	NOUN
cana-5424	296	8	2q1	2q1	NUM
cana-5424	296	9			PROPN
cana-5424	296	10	σ4l2√	σ4l2√	NOUN
cana-5424	296	11	σ2l	σ2l	NOUN
cana-5424	296	12	+	+	CCONJ
cana-5424	296	13	(	(	PUNCT
cana-5424	296	14	d1l)2	d1l)2	PROPN
cana-5424	296	15	+	+	CCONJ
cana-5424	296	16	δ2σ2l	δ2σ2l	NUM
cana-5424	296	17	−	−	PROPN
cana-5424	296	18	2d1δlσ	2d1δlσ	NUM
cana-5424	296	19	√	√	NUM
cana-5424	296	20	l	l	NOUN
cana-5424	296	21			NOUN
cana-5424	296	22	>	>	X
cana-5424	296	23	0	0	NUM
cana-5424	296	24	2	2	NUM
cana-5424	296	25	q31	q31	NOUN
cana-5424	296	26	[	[	PUNCT
cana-5424	296	27	ord1	ord1	NOUN
cana-5424	296	28	+	+	CCONJ
cana-5424	296	29	sm	sm	X
cana-5424	296	30	c	c	PROPN
cana-5424	296	31	d1	d1	PROPN
cana-5424	296	32	η	η	PROPN
cana-5424	296	33	+	+	PROPN
cana-5424	296	34	d1cl+	d1cl+	PROPN
cana-5424	296	35	νd1	νd1	NOUN
cana-5424	296	36	(	(	PUNCT
cana-5424	296	37	√	√	PROPN
cana-5424	296	38	σ2l	σ2l	NOUN
cana-5424	296	39	+	+	CCONJ
cana-5424	296	40	(	(	PUNCT
cana-5424	296	41	d1l)2	d1l)2	PROPN
cana-5424	296	42	+	+	CCONJ
cana-5424	296	43	δ2σ2l	δ2σ2l	NUM
cana-5424	296	44	−	−	PROPN
cana-5424	296	45	2d1lδσ	2d1lδσ	NUM
cana-5424	296	46	√	√	NUM
cana-5424	296	47	l	l	NOUN
cana-5424	296	48	)	)	PUNCT
cana-5424	296	49	]	]	PUNCT
cana-5424	296	50	(	(	PUNCT
cana-5424	296	51	νd1	νd1	NOUN
cana-5424	296	52	2q1	2q1	NUM
cana-5424	296	53	)	)	PUNCT
cana-5424	296	54	(	(	PUNCT
cana-5424	296	55	αb	αb	NUM
cana-5424	296	56	ζ2	ζ2	NOUN
cana-5424	296	57	)	)	PUNCT
cana-5424	296	58	communications	communication	NOUN
cana-5424	296	59	on	on	ADP
cana-5424	296	60	applied	apply	VERB
cana-5424	296	61	nonlinear	nonlinear	ADJ
cana-5424	296	62	analysis	analysis	NOUN
cana-5424	296	63	issn	issn	NOUN
cana-5424	296	64	:	:	PUNCT
cana-5424	296	65	1074	1074	NUM
cana-5424	296	66	-	-	PUNCT
cana-5424	296	67	133x	133x	NUM
cana-5424	296	68	vol	vol	NOUN
cana-5424	296	69	32	32	NUM
cana-5424	296	70	no	no	NOUN
cana-5424	296	71	.	.	PUNCT
cana-5424	297	1	10s(2025	10s(2025	NUM
cana-5424	297	2	)	)	PUNCT
cana-5424	297	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	297	4	2247	2247	NUM
cana-5424	297	5			PROPN
cana-5424	297	6	σ4l2√	σ4l2√	NOUN
cana-5424	297	7	σ2l	σ2l	NOUN
cana-5424	297	8	+	+	CCONJ
cana-5424	297	9	(	(	PUNCT
cana-5424	297	10	d1l)2	d1l)2	PROPN
cana-5424	297	11	+	+	CCONJ
cana-5424	297	12	δ2σ2l	δ2σ2l	NUM
cana-5424	297	13	−	−	PROPN
cana-5424	297	14	2d1δlσ	2d1δlσ	NUM
cana-5424	297	15	√	√	NUM
cana-5424	297	16	l	l	NOUN
cana-5424	297	17			NOUN
cana-5424	297	18	+	+	CCONJ
cana-5424	297	19	(	(	PUNCT
cana-5424	297	20	sd1η	sd1η	ADJ
cana-5424	297	21	2	2	NUM
cana-5424	297	22	)	)	SYM
cana-5424	297	23	2	2	NUM
cana-5424	297	24	νd1	νd1	NOUN
cana-5424	297	25	2q1	2q1	NUM
cana-5424	297	26			PROPN
cana-5424	297	27	σ4l2√	σ4l2√	NOUN
cana-5424	297	28	σ2l	σ2l	NOUN
cana-5424	297	29	+	+	CCONJ
cana-5424	297	30	(	(	PUNCT
cana-5424	297	31	d1l)2	d1l)2	PROPN
cana-5424	297	32	+	+	CCONJ
cana-5424	297	33	δ2σ2l	δ2σ2l	NUM
cana-5424	297	34	−	−	PROPN
cana-5424	297	35	2d1δlσ	2d1δlσ	NUM
cana-5424	297	36	√	√	NUM
cana-5424	297	37	l	l	NOUN
cana-5424	297	38			NOUN
cana-5424	297	39	>	>	X
cana-5424	298	1	(	(	PUNCT
cana-5424	298	2	νd1	νd1	NOUN
cana-5424	298	3	2q21	2q21	NUM
cana-5424	298	4	)	)	PUNCT
cana-5424	298	5	2	2	NUM
cana-5424	298	6			NOUN
cana-5424	298	7	δσ2l	δσ2l	NOUN
cana-5424	298	8	−	−	NOUN
cana-5424	298	9	d1lσ	d1lσ	NOUN
cana-5424	298	10	√	√	NOUN
cana-5424	298	11	l√	l√	NUM
cana-5424	298	12	σ2l	σ2l	NOUN
cana-5424	298	13	+	+	CCONJ
cana-5424	298	14	(	(	PUNCT
cana-5424	298	15	d1l)2	d1l)2	PROPN
cana-5424	298	16	+	+	CCONJ
cana-5424	298	17	δ2σ2l	δ2σ2l	NUM
cana-5424	298	18	−	−	PROPN
cana-5424	298	19	2d1δlσ	2d1δlσ	NUM
cana-5424	298	20	√	√	NUM
cana-5424	298	21	l	l	NOUN
cana-5424	298	22	−	−	PROPN
cana-5424	299	1	σ	σ	NOUN
cana-5424	299	2	√	√	NUM
cana-5424	299	3	l	l	NOUN
cana-5424	299	4	2	2	NOUN
cana-5424	299	5	(	(	PUNCT
cana-5424	299	6	αb	αb	NOUN
cana-5424	299	7	ζ2	ζ2	NOUN
cana-5424	299	8	)	)	PUNCT
cana-5424	299	9	since	since	SCONJ
cana-5424	299	10	the	the	DET
cana-5424	299	11	hessian	hessian	ADJ
cana-5424	299	12	matrix	matrix	NOUN
cana-5424	299	13	’s	’s	PART
cana-5424	299	14	every	every	DET
cana-5424	299	15	single	single	ADJ
cana-5424	299	16	principal	principal	ADJ
cana-5424	299	17	minor	minor	ADJ
cana-5424	299	18	is	be	AUX
cana-5424	299	19	positive	positive	ADJ
cana-5424	299	20	,	,	PUNCT
cana-5424	299	21	therefore	therefore	ADV
cana-5424	299	22	,	,	PUNCT
cana-5424	299	23	at	at	ADP
cana-5424	299	24	(	(	PUNCT
cana-5424	299	25	q∗1	q∗1	ADJ
cana-5424	299	26	,	,	PUNCT
cana-5424	299	27	q	q	NOUN
cana-5424	299	28	∗	∗	NOUN
cana-5424	299	29	2	2	NUM
cana-5424	299	30	,	,	PUNCT
cana-5424	299	31	δ	δ	PROPN
cana-5424	299	32	∗	∗	NOUN
cana-5424	299	33	,	,	PUNCT
cana-5424	299	34	ζ∗	ζ∗	PROPN
cana-5424	299	35	)	)	PUNCT
cana-5424	299	36	,	,	PUNCT
cana-5424	299	37	(	(	PUNCT
cana-5424	299	38	htcs	htcs	NOUN
cana-5424	299	39	)	)	PUNCT
cana-5424	299	40	1	1	NUM
cana-5424	299	41	is	be	AUX
cana-5424	299	42	positive	positive	ADJ
cana-5424	299	43	definite	definite	ADJ
cana-5424	299	44	.	.	PUNCT
cana-5424	300	1	moreover	moreover	ADV
cana-5424	300	2	,	,	PUNCT
cana-5424	300	3	at	at	ADP
cana-5424	300	4	the	the	DET
cana-5424	300	5	same	same	ADJ
cana-5424	300	6	point	point	NOUN
cana-5424	300	7	,	,	PUNCT
cana-5424	300	8	the	the	DET
cana-5424	300	9	total	total	ADJ
cana-5424	300	10	cost	cost	NOUN
cana-5424	300	11	of	of	ADP
cana-5424	300	12	the	the	DET
cana-5424	300	13	firm	firm	NOUN
cana-5424	300	14	offering	offer	VERB
cana-5424	300	15	a	a	DET
cana-5424	300	16	product	product	NOUN
cana-5424	300	17	on	on	ADP
cana-5424	300	18	a	a	DET
cana-5424	300	19	traditional	traditional	ADJ
cana-5424	300	20	platform	platform	NOUN
cana-5424	300	21	obtains	obtain	VERB
cana-5424	300	22	its	its	PRON
cana-5424	300	23	global	global	ADJ
cana-5424	300	24	minimum	minimum	NOUN
cana-5424	300	25	.	.	PUNCT
cana-5424	301	1	4	4	X
cana-5424	301	2	.	.	X
cana-5424	301	3	conclusion	conclusion	NOUN
cana-5424	301	4	recently	recently	ADV
cana-5424	301	5	,	,	PUNCT
cana-5424	301	6	many	many	ADJ
cana-5424	301	7	industries	industry	NOUN
cana-5424	301	8	accept	accept	VERB
cana-5424	301	9	integrating	integrate	VERB
cana-5424	301	10	dual	dual	ADJ
cana-5424	301	11	-	-	PUNCT
cana-5424	301	12	channel	channel	NOUN
cana-5424	301	13	retailing	retailing	NOUN
cana-5424	301	14	systems	system	NOUN
cana-5424	301	15	into	into	ADP
cana-5424	301	16	their	their	PRON
cana-5424	301	17	business	business	NOUN
cana-5424	301	18	model	model	NOUN
cana-5424	301	19	.	.	PUNCT
cana-5424	302	1	this	this	PRON
cana-5424	302	2	is	be	AUX
cana-5424	302	3	evident	evident	ADJ
cana-5424	302	4	from	from	ADP
cana-5424	302	5	the	the	DET
cana-5424	302	6	results	result	NOUN
cana-5424	302	7	of	of	ADP
cana-5424	302	8	this	this	DET
cana-5424	302	9	study	study	NOUN
cana-5424	302	10	that	that	SCONJ
cana-5424	302	11	traditional	traditional	ADJ
cana-5424	302	12	-	-	PUNCT
cana-5424	302	13	online	online	NOUN
cana-5424	302	14	retailing	retailing	NOUN
cana-5424	302	15	increases	increase	VERB
cana-5424	302	16	the	the	DET
cana-5424	302	17	profitability	profitability	NOUN
cana-5424	302	18	of	of	ADP
cana-5424	302	19	the	the	DET
cana-5424	302	20	company	company	NOUN
cana-5424	302	21	.	.	PUNCT
cana-5424	303	1	customized	customize	VERB
cana-5424	303	2	products	product	NOUN
cana-5424	303	3	have	have	AUX
cana-5424	303	4	given	give	VERB
cana-5424	303	5	the	the	DET
cana-5424	303	6	provision	provision	NOUN
cana-5424	303	7	to	to	ADP
cana-5424	303	8	the	the	DET
cana-5424	303	9	customer	customer	NOUN
cana-5424	303	10	of	of	ADP
cana-5424	303	11	choosing	choose	VERB
cana-5424	303	12	merchandise	merchandise	NOUN
cana-5424	303	13	of	of	ADP
cana-5424	303	14	their	their	PRON
cana-5424	303	15	own	own	ADJ
cana-5424	303	16	choice	choice	NOUN
cana-5424	303	17	.	.	PUNCT
cana-5424	304	1	moreover	moreover	ADV
cana-5424	304	2	,	,	PUNCT
cana-5424	304	3	this	this	DET
cana-5424	304	4	paper	paper	NOUN
cana-5424	304	5	assumed	assume	VERB
cana-5424	304	6	a	a	DET
cana-5424	304	7	threshold	threshold	NOUN
cana-5424	304	8	amount	amount	NOUN
cana-5424	304	9	and	and	CCONJ
cana-5424	304	10	unequal	unequal	ADJ
cana-5424	304	11	shifting	shifting	NOUN
cana-5424	304	12	of	of	ADP
cana-5424	304	13	customers	customer	NOUN
cana-5424	304	14	between	between	ADP
cana-5424	304	15	the	the	DET
cana-5424	304	16	channels	channel	NOUN
cana-5424	304	17	.	.	PUNCT
cana-5424	305	1	these	these	DET
cana-5424	305	2	two	two	NUM
cana-5424	305	3	assumptions	assumption	NOUN
cana-5424	305	4	turned	turn	VERB
cana-5424	305	5	the	the	DET
cana-5424	305	6	model	model	NOUN
cana-5424	305	7	into	into	ADP
cana-5424	305	8	a	a	DET
cana-5424	305	9	more	more	ADV
cana-5424	305	10	practical	practical	ADJ
cana-5424	305	11	scenario	scenario	NOUN
cana-5424	305	12	.	.	PUNCT
cana-5424	306	1	the	the	DET
cana-5424	306	2	study	study	NOUN
cana-5424	306	3	also	also	ADV
cana-5424	306	4	incorporated	incorporate	VERB
cana-5424	306	5	the	the	DET
cana-5424	306	6	policy	policy	NOUN
cana-5424	306	7	of	of	ADP
cana-5424	306	8	extensive	extensive	ADJ
cana-5424	306	9	quality	quality	NOUN
cana-5424	306	10	checks	check	NOUN
cana-5424	306	11	in	in	ADP
cana-5424	306	12	the	the	DET
cana-5424	306	13	production	production	NOUN
cana-5424	306	14	process	process	NOUN
cana-5424	306	15	as	as	SCONJ
cana-5424	306	16	the	the	DET
cana-5424	306	17	customized	customize	VERB
cana-5424	306	18	product	product	NOUN
cana-5424	306	19	needs	need	VERB
cana-5424	306	20	to	to	PART
cana-5424	306	21	be	be	AUX
cana-5424	306	22	analyzed	analyze	VERB
cana-5424	306	23	properly	properly	ADV
cana-5424	306	24	before	before	ADP
cana-5424	306	25	delivery	delivery	NOUN
cana-5424	306	26	.	.	PUNCT
cana-5424	307	1	the	the	DET
cana-5424	307	2	considerations	consideration	NOUN
cana-5424	307	3	of	of	ADP
cana-5424	307	4	sustainable	sustainable	ADJ
cana-5424	307	5	pillars	pillar	NOUN
cana-5424	307	6	have	have	AUX
cana-5424	307	7	shown	show	VERB
cana-5424	307	8	how	how	SCONJ
cana-5424	307	9	the	the	DET
cana-5424	307	10	company	company	NOUN
cana-5424	307	11	could	could	AUX
cana-5424	307	12	improve	improve	VERB
cana-5424	307	13	its	its	PRON
cana-5424	307	14	profit	profit	NOUN
cana-5424	307	15	while	while	SCONJ
cana-5424	307	16	achieving	achieve	VERB
cana-5424	307	17	sustainable	sustainable	ADJ
cana-5424	307	18	goals	goal	NOUN
cana-5424	307	19	.	.	PUNCT
cana-5424	308	1	5	5	X
cana-5424	308	2	.	.	X
cana-5424	308	3	acknowledgement	acknowledgement	NOUN
cana-5424	308	4	authors	author	NOUN
cana-5424	308	5	are	be	AUX
cana-5424	308	6	thankful	thankful	ADJ
cana-5424	308	7	to	to	ADP
cana-5424	308	8	integral	integral	ADJ
cana-5424	308	9	university	university	NOUN
cana-5424	308	10	,	,	PUNCT
cana-5424	308	11	lucknow	lucknow	PROPN
cana-5424	308	12	,	,	PUNCT
cana-5424	308	13	india	india	PROPN
cana-5424	308	14	for	for	ADP
cana-5424	308	15	providing	provide	VERB
cana-5424	308	16	mcn	mcn	PROPN
cana-5424	308	17	:	:	PUNCT
cana-5424	308	18	iu	iu	ADP
cana-5424	308	19	/	/	SYM
cana-5424	308	20	r&d/20250003476	r&d/20250003476	NOUN
cana-5424	308	21	references	reference	NOUN
cana-5424	308	22	[	[	X
cana-5424	308	23	1	1	NUM
cana-5424	308	24	]	]	X
cana-5424	308	25	ang	ang	PROPN
cana-5424	308	26	,	,	PUNCT
cana-5424	308	27	s.h	s.h	PROPN
cana-5424	308	28	.	.	PROPN
cana-5424	308	29	,	,	PUNCT
cana-5424	308	30	leong	leong	PROPN
cana-5424	308	31	,	,	PUNCT
cana-5424	308	32	s.m	s.m	PROPN
cana-5424	308	33	.	.	PROPN
cana-5424	308	34	,	,	PUNCT
cana-5424	308	35	lim	lim	PROPN
cana-5424	308	36	,	,	PUNCT
cana-5424	308	37	j.	j.	PROPN
cana-5424	308	38	,	,	PUNCT
cana-5424	308	39	1997	1997	NUM
cana-5424	308	40	.	.	PUNCT
cana-5424	309	1	the	the	DET
cana-5424	309	2	mediating	mediate	VERB
cana-5424	309	3	influence	influence	NOUN
cana-5424	309	4	of	of	ADP
cana-5424	309	5	pleasure	pleasure	NOUN
cana-5424	309	6	and	and	CCONJ
cana-5424	309	7	arousal	arousal	NOUN
cana-5424	309	8	on	on	ADP
cana-5424	309	9	layout	layout	NOUN
cana-5424	309	10	and	and	CCONJ
cana-5424	309	11	signage	signage	NOUN
cana-5424	309	12	effects	effect	NOUN
cana-5424	309	13	:	:	PUNCT
cana-5424	309	14	comparing	compare	VERB
cana-5424	309	15	more	more	ADJ
cana-5424	309	16	and	and	CCONJ
cana-5424	309	17	less	less	ADV
cana-5424	309	18	customized	customized	ADJ
cana-5424	309	19	retail	retail	ADJ
cana-5424	309	20	services	service	NOUN
cana-5424	309	21	.	.	PUNCT
cana-5424	310	1	j.	j.	PROPN
cana-5424	310	2	retail	retail	PROPN
cana-5424	310	3	.	.	PUNCT
cana-5424	311	1	[	[	X
cana-5424	311	2	2	2	NUM
cana-5424	311	3	]	]	X
cana-5424	311	4	chauhan	chauhan	PROPN
cana-5424	311	5	,	,	PUNCT
cana-5424	311	6	r.	r.	PROPN
cana-5424	311	7	,	,	PUNCT
cana-5424	311	8	kumar	kumar	PROPN
cana-5424	311	9	,	,	PUNCT
cana-5424	311	10	v.	v.	PROPN
cana-5424	311	11	,	,	PUNCT
cana-5424	311	12	jana	jana	PROPN
cana-5424	311	13	,	,	PUNCT
cana-5424	311	14	t.k	t.k	PROPN
cana-5424	311	15	.	.	PROPN
cana-5424	311	16	,	,	PUNCT
cana-5424	311	17	majumder	majumder	NOUN
cana-5424	311	18	,	,	PUNCT
cana-5424	311	19	a.	a.	NOUN
cana-5424	311	20	,	,	PUNCT
cana-5424	311	21	2021	2021	NUM
cana-5424	311	22	.	.	PUNCT
cana-5424	312	1	a	a	DET
cana-5424	312	2	modified	modify	VERB
cana-5424	312	3	customization	customization	NOUN
cana-5424	312	4	strategy	strategy	NOUN
cana-5424	312	5	in	in	ADP
cana-5424	312	6	a	a	DET
cana-5424	312	7	dual	dual	ADJ
cana-5424	312	8	-	-	PUNCT
cana-5424	312	9	channel	channel	NOUN
cana-5424	312	10	supply	supply	NOUN
cana-5424	312	11	chain	chain	NOUN
cana-5424	312	12	model	model	NOUN
cana-5424	312	13	with	with	ADP
cana-5424	312	14	price	price	NOUN
cana-5424	312	15	-	-	PUNCT
cana-5424	312	16	sensitive	sensitive	ADJ
cana-5424	312	17	stochastic	stochastic	ADJ
cana-5424	312	18	demand	demand	NOUN
cana-5424	312	19	and	and	CCONJ
cana-5424	312	20	distribution	distribution	NOUN
cana-5424	312	21	free	free	ADJ
cana-5424	312	22	approach	approach	NOUN
cana-5424	312	23	.	.	PUNCT
cana-5424	313	1	math	math	NOUN
cana-5424	313	2	.	.	PUNCT
cana-5424	314	1	probl	probl	PROPN
cana-5424	314	2	.	.	PUNCT
cana-5424	315	1	eng	eng	PROPN
cana-5424	315	2	.	.	PROPN
cana-5424	315	3	2021	2021	NUM
cana-5424	315	4	,	,	PUNCT
cana-5424	315	5	1–25	1–25	PROPN
cana-5424	315	6	.	.	PUNCT
cana-5424	316	1	[	[	X
cana-5424	316	2	3	3	NUM
cana-5424	316	3	]	]	X
cana-5424	316	4	choi	choi	NOUN
cana-5424	316	5	,	,	PUNCT
cana-5424	316	6	s.b	s.b	PROPN
cana-5424	316	7	.	.	PROPN
cana-5424	316	8	,	,	PUNCT
cana-5424	316	9	dey	dey	PROPN
cana-5424	316	10	,	,	PUNCT
cana-5424	316	11	b.k	b.k	PROPN
cana-5424	316	12	.	.	PROPN
cana-5424	316	13	,	,	PUNCT
cana-5424	316	14	kim	kim	PROPN
cana-5424	316	15	,	,	PUNCT
cana-5424	316	16	s.j	s.j	PROPN
cana-5424	316	17	.	.	PROPN
cana-5424	316	18	,	,	PUNCT
cana-5424	316	19	sarkar	sarkar	PROPN
cana-5424	316	20	,	,	PUNCT
cana-5424	316	21	b.	b.	PROPN
cana-5424	316	22	,	,	PUNCT
cana-5424	316	23	2022	2022	NUM
cana-5424	316	24	.	.	PUNCT
cana-5424	317	1	intelligent	intelligent	ADJ
cana-5424	317	2	servicing	servicing	NOUN
cana-5424	317	3	strategy	strategy	NOUN
cana-5424	317	4	for	for	ADP
cana-5424	317	5	an	an	DET
cana-5424	317	6	online	online	ADJ
cana-5424	317	7	-	-	PUNCT
cana-5424	317	8	to	to	ADP
cana-5424	317	9	-	-	PUNCT
cana-5424	317	10	offline	offline	ADJ
cana-5424	317	11	(	(	PUNCT
cana-5424	317	12	o2o	o2o	NOUN
cana-5424	317	13	)	)	PUNCT
cana-5424	317	14	supply	supply	NOUN
cana-5424	317	15	chain	chain	NOUN
cana-5424	317	16	under	under	ADP
cana-5424	317	17	demand	demand	NOUN
cana-5424	317	18	variability	variability	NOUN
cana-5424	317	19	and	and	CCONJ
cana-5424	317	20	controllable	controllable	ADJ
cana-5424	317	21	lead	lead	NOUN
cana-5424	317	22	time	time	NOUN
cana-5424	317	23	.	.	PUNCT
cana-5424	318	1	rairo	rairo	PROPN
cana-5424	318	2	oper	oper	PROPN
cana-5424	318	3	.	.	PUNCT
cana-5424	319	1	res	re	NOUN
cana-5424	319	2	.	.	PUNCT
cana-5424	320	1	56	56	NUM
cana-5424	320	2	(	(	PUNCT
cana-5424	320	3	3	3	NUM
cana-5424	320	4	)	)	PUNCT
cana-5424	320	5	,	,	PUNCT
cana-5424	320	6	1623–1653	1623–1653	NUM
cana-5424	320	7	.	.	PUNCT
cana-5424	321	1	[	[	X
cana-5424	321	2	4	4	NUM
cana-5424	321	3	]	]	X
cana-5424	321	4	cui	cui	NOUN
cana-5424	321	5	,	,	PUNCT
cana-5424	321	6	x.	x.	PROPN
cana-5424	321	7	,	,	PUNCT
cana-5424	321	8	xie	xie	PROPN
cana-5424	321	9	,	,	PUNCT
cana-5424	321	10	q.	q.	PROPN
cana-5424	321	11	,	,	PUNCT
cana-5424	321	12	zhu	zhu	PROPN
cana-5424	321	13	,	,	PUNCT
cana-5424	321	14	j.	j.	PROPN
cana-5424	321	15	,	,	PUNCT
cana-5424	321	16	shareef	shareef	PROPN
cana-5424	321	17	,	,	PUNCT
cana-5424	321	18	m.a	m.a	PROPN
cana-5424	321	19	.	.	PROPN
cana-5424	321	20	,	,	PUNCT
cana-5424	321	21	goraya	goraya	PROPN
cana-5424	321	22	,	,	PUNCT
cana-5424	321	23	m.a.s	m.a.s	PROPN
cana-5424	321	24	.	.	PROPN
cana-5424	321	25	,	,	PUNCT
cana-5424	321	26	akram	akram	PROPN
cana-5424	321	27	,	,	PUNCT
cana-5424	321	28	m.s	m.s	PROPN
cana-5424	321	29	.	.	PROPN
cana-5424	321	30	,	,	PUNCT
cana-5424	321	31	2022	2022	NUM
cana-5424	321	32	.	.	PUNCT
cana-5424	322	1	understanding	understand	VERB
cana-5424	322	2	the	the	DET
cana-5424	322	3	omnichannel	omnichannel	NOUN
cana-5424	322	4	customer	customer	NOUN
cana-5424	322	5	journey	journey	NOUN
cana-5424	322	6	:	:	PUNCT
cana-5424	322	7	the	the	DET
cana-5424	322	8	effect	effect	NOUN
cana-5424	322	9	of	of	ADP
cana-5424	322	10	online	online	ADJ
cana-5424	322	11	and	and	CCONJ
cana-5424	322	12	offline	offline	ADJ
cana-5424	322	13	channel	channel	NOUN
cana-5424	322	14	interactivity	interactivity	NOUN
cana-5424	322	15	on	on	ADP
cana-5424	322	16	consumer	consumer	NOUN
cana-5424	322	17	value	value	NOUN
cana-5424	322	18	co	co	NOUN
cana-5424	322	19	-	-	NOUN
cana-5424	322	20	creation	creation	NOUN
cana-5424	322	21	behavior	behavior	NOUN
cana-5424	322	22	.	.	PUNCT
cana-5424	323	1	j.	j.	PROPN
cana-5424	323	2	retail	retail	PROPN
cana-5424	323	3	.	.	PUNCT
cana-5424	324	1	consum	consum	PROPN
cana-5424	324	2	.	.	PUNCT
cana-5424	325	1	serv	serv	PROPN
cana-5424	325	2	.	.	PROPN
cana-5424	326	1	65	65	NUM
cana-5424	326	2	,	,	PUNCT
cana-5424	326	3	102869	102869	NUM
cana-5424	326	4	.	.	PUNCT
cana-5424	327	1	communications	communication	NOUN
cana-5424	327	2	on	on	ADP
cana-5424	327	3	applied	apply	VERB
cana-5424	327	4	nonlinear	nonlinear	ADJ
cana-5424	327	5	analysis	analysis	NOUN
cana-5424	327	6	issn	issn	NOUN
cana-5424	327	7	:	:	PUNCT
cana-5424	327	8	1074	1074	NUM
cana-5424	327	9	-	-	PUNCT
cana-5424	327	10	133x	133x	NUM
cana-5424	327	11	vol	vol	NOUN
cana-5424	327	12	32	32	NUM
cana-5424	327	13	no	no	NOUN
cana-5424	327	14	.	.	PUNCT
cana-5424	328	1	10s(2025	10s(2025	NUM
cana-5424	328	2	)	)	PUNCT
cana-5424	328	3	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	328	4	2248	2248	NUM
cana-5424	328	5	[	[	X
cana-5424	328	6	5	5	NUM
cana-5424	328	7	]	]	SYM
cana-5424	328	8	dey	dey	PROPN
cana-5424	328	9	,	,	PUNCT
cana-5424	328	10	b.k	b.k	PROPN
cana-5424	328	11	.	.	PROPN
cana-5424	328	12	,	,	PUNCT
cana-5424	328	13	pareek	pareek	PROPN
cana-5424	328	14	,	,	PUNCT
cana-5424	328	15	s.	s.	PROPN
cana-5424	328	16	,	,	PUNCT
cana-5424	328	17	tayyab	tayyab	PROPN
cana-5424	328	18	,	,	PUNCT
cana-5424	328	19	m.	m.	NOUN
cana-5424	328	20	,	,	PUNCT
cana-5424	328	21	sarkar	sarkar	PROPN
cana-5424	328	22	,	,	PUNCT
cana-5424	328	23	b.	b.	PROPN
cana-5424	328	24	,	,	PUNCT
cana-5424	328	25	2021	2021	NUM
cana-5424	328	26	.	.	PUNCT
cana-5424	329	1	the	the	DET
cana-5424	329	2	potential	potential	NOUN
cana-5424	329	3	for	for	ADP
cana-5424	329	4	disruption	disruption	NOUN
cana-5424	329	5	to	to	ADP
cana-5424	329	6	the	the	DET
cana-5424	329	7	entire	entire	ADJ
cana-5424	329	8	inventory	inventory	NOUN
cana-5424	329	9	management	management	NOUN
cana-5424	329	10	function	function	NOUN
cana-5424	329	11	schedule	schedule	NOUN
cana-5424	329	12	.	.	PUNCT
cana-5424	330	1	educational	educational	ADJ
cana-5424	330	2	administration	administration	NOUN
cana-5424	330	3	:	:	PUNCT
cana-5424	330	4	theory	theory	NOUN
cana-5424	330	5	and	and	CCONJ
cana-5424	330	6	practice	practice	NOUN
cana-5424	330	7	2024	2024	NUM
cana-5424	330	8	,	,	PUNCT
cana-5424	330	9	30(4	30(4	NUM
cana-5424	330	10	)	)	PUNCT
cana-5424	330	11	,	,	PUNCT
cana-5424	330	12	8071	8071	NUM
cana-5424	330	13	-	-	SYM
cana-5424	330	14	8076	8076	NUM
cana-5424	330	15	,	,	PUNCT
cana-5424	330	16	issn	issn	PROPN
cana-5424	330	17	:	:	PUNCT
cana-5424	330	18	2148	2148	NUM
cana-5424	330	19	-	-	SYM
cana-5424	330	20	2403	2403	NUM
cana-5424	330	21	.	.	PUNCT
cana-5424	331	1	[	[	X
cana-5424	331	2	6	6	NUM
cana-5424	331	3	]	]	X
cana-5424	331	4	dey	dey	PROPN
cana-5424	331	5	,	,	PUNCT
cana-5424	331	6	b.k	b.k	PROPN
cana-5424	331	7	.	.	PROPN
cana-5424	331	8	,	,	PUNCT
cana-5424	331	9	park	park	PROPN
cana-5424	331	10	,	,	PUNCT
cana-5424	331	11	j.	j.	PROPN
cana-5424	331	12	,	,	PUNCT
cana-5424	331	13	seok	seok	PROPN
cana-5424	331	14	,	,	PUNCT
cana-5424	331	15	h.	h.	PROPN
cana-5424	331	16	,	,	PUNCT
cana-5424	331	17	2022a	2022a	NUM
cana-5424	331	18	.	.	PUNCT
cana-5424	332	1	carbon	carbon	NOUN
cana-5424	332	2	-	-	PUNCT
cana-5424	332	3	emission	emission	NOUN
cana-5424	332	4	and	and	CCONJ
cana-5424	332	5	waste	waste	NOUN
cana-5424	332	6	reduction	reduction	NOUN
cana-5424	332	7	of	of	ADP
cana-5424	332	8	a	a	DET
cana-5424	332	9	manufacturing	manufacturing	NOUN
cana-5424	332	10	-	-	PUNCT
cana-5424	332	11	remanufacturing	remanufacture	VERB
cana-5424	332	12	system	system	NOUN
cana-5424	332	13	using	use	VERB
cana-5424	332	14	green	green	ADJ
cana-5424	332	15	technology	technology	NOUN
cana-5424	332	16	and	and	CCONJ
cana-5424	332	17	autonomated	autonomate	VERB
cana-5424	332	18	inspection	inspection	NOUN
cana-5424	332	19	.	.	PUNCT
cana-5424	333	1	rairo	rairo	PROPN
cana-5424	333	2	oper	oper	PROPN
cana-5424	333	3	.	.	PUNCT
cana-5424	334	1	res	re	NOUN
cana-5424	334	2	.	.	PUNCT
cana-5424	335	1	56	56	NUM
cana-5424	335	2	(	(	PUNCT
cana-5424	335	3	4	4	NUM
cana-5424	335	4	)	)	PUNCT
cana-5424	335	5	,	,	PUNCT
cana-5424	335	6	2801–2831	2801–2831	NUM
cana-5424	335	7	.	.	PUNCT
cana-5424	336	1	[	[	X
cana-5424	336	2	7	7	NUM
cana-5424	336	3	]	]	X
cana-5424	336	4	dey	dey	PROPN
cana-5424	336	5	,	,	PUNCT
cana-5424	336	6	b.k	b.k	PROPN
cana-5424	336	7	.	.	PROPN
cana-5424	336	8	,	,	PUNCT
cana-5424	336	9	sarkar	sarkar	PROPN
cana-5424	336	10	,	,	PUNCT
cana-5424	336	11	m.	m.	NOUN
cana-5424	336	12	,	,	PUNCT
cana-5424	336	13	chaudhuri	chaudhuri	PROPN
cana-5424	336	14	,	,	PUNCT
cana-5424	336	15	k.	k.	PROPN
cana-5424	336	16	,	,	PUNCT
cana-5424	336	17	sarkar	sarkar	PROPN
cana-5424	336	18	,	,	PUNCT
cana-5424	336	19	b.	b.	PROPN
cana-5424	336	20	,	,	PUNCT
cana-5424	336	21	2023	2023	NUM
cana-5424	336	22	.	.	PUNCT
cana-5424	337	1	do	do	AUX
cana-5424	337	2	you	you	PRON
cana-5424	337	3	think	think	VERB
cana-5424	337	4	that	that	SCONJ
cana-5424	337	5	the	the	DET
cana-5424	337	6	home	home	NOUN
cana-5424	337	7	delivery	delivery	NOUN
cana-5424	337	8	is	be	AUX
cana-5424	337	9	good	good	ADJ
cana-5424	337	10	for	for	ADP
cana-5424	337	11	retailing	retailing	NOUN
cana-5424	337	12	?	?	PUNCT
cana-5424	338	1	j.	j.	PROPN
cana-5424	338	2	retail	retail	PROPN
cana-5424	338	3	.	.	PUNCT
cana-5424	339	1	consum	consum	PROPN
cana-5424	339	2	.	.	PUNCT
cana-5424	340	1	serv	serv	PROPN
cana-5424	340	2	.	.	PROPN
cana-5424	340	3	72	72	NUM
cana-5424	340	4	,	,	PUNCT
cana-5424	340	5	103237	103237	NUM
cana-5424	340	6	.	.	PUNCT
cana-5424	341	1	[	[	X
cana-5424	341	2	8	8	NUM
cana-5424	341	3	]	]	X
cana-5424	341	4	dwivedi	dwivedi	PROPN
cana-5424	341	5	,	,	PUNCT
cana-5424	341	6	y.k	y.k	PROPN
cana-5424	341	7	.	.	PROPN
cana-5424	341	8	,	,	PUNCT
cana-5424	341	9	hughes	hughes	PROPN
cana-5424	341	10	,	,	PUNCT
cana-5424	341	11	l.	l.	PROPN
cana-5424	341	12	,	,	PUNCT
cana-5424	341	13	kar	kar	PROPN
cana-5424	341	14	,	,	PUNCT
cana-5424	341	15	a.k	a.k	PROPN
cana-5424	341	16	.	.	PROPN
cana-5424	341	17	,	,	PUNCT
cana-5424	341	18	baabdullah	baabdullah	VERB
cana-5424	341	19	,	,	PUNCT
cana-5424	341	20	a.m.	a.m.	ADV
cana-5424	341	21	,	,	PUNCT
cana-5424	341	22	grover	grover	PROPN
cana-5424	341	23	,	,	PUNCT
cana-5424	341	24	p.	p.	PROPN
cana-5424	341	25	,	,	PUNCT
cana-5424	341	26	abbas	abbas	PROPN
cana-5424	341	27	,	,	PUNCT
cana-5424	341	28	r.	r.	PROPN
cana-5424	341	29	,	,	PUNCT
cana-5424	341	30	et	et	PROPN
cana-5424	341	31	al	al	PROPN
cana-5424	341	32	.	.	PROPN
cana-5424	341	33	,	,	PUNCT
cana-5424	341	34	2022	2022	NUM
cana-5424	341	35	.	.	PUNCT
cana-5424	342	1	climate	climate	NOUN
cana-5424	342	2	change	change	NOUN
cana-5424	342	3	and	and	CCONJ
cana-5424	342	4	cop26	cop26	NOUN
cana-5424	342	5	:	:	PUNCT
cana-5424	342	6	are	be	AUX
cana-5424	342	7	digital	digital	ADJ
cana-5424	342	8	technologies	technology	NOUN
cana-5424	342	9	and	and	CCONJ
cana-5424	342	10	information	information	NOUN
cana-5424	342	11	management	management	NOUN
cana-5424	342	12	part	part	NOUN
cana-5424	342	13	of	of	ADP
cana-5424	342	14	the	the	DET
cana-5424	342	15	problem	problem	NOUN
cana-5424	342	16	or	or	CCONJ
cana-5424	342	17	the	the	DET
cana-5424	342	18	solution	solution	NOUN
cana-5424	342	19	?	?	PUNCT
cana-5424	343	1	an	an	DET
cana-5424	343	2	editorial	editorial	ADJ
cana-5424	343	3	reflection	reflection	NOUN
cana-5424	343	4	and	and	CCONJ
cana-5424	343	5	call	call	VERB
cana-5424	343	6	to	to	ADP
cana-5424	343	7	action	action	NOUN
cana-5424	343	8	.	.	PUNCT
cana-5424	344	1	int	int	NOUN
cana-5424	344	2	.	.	PUNCT
cana-5424	345	1	j.	j.	PROPN
cana-5424	345	2	inf	inf	PROPN
cana-5424	345	3	.	.	PROPN
cana-5424	345	4	manag	manag	PROPN
cana-5424	345	5	.	.	PROPN
cana-5424	346	1	63	63	NUM
cana-5424	346	2	,	,	PUNCT
cana-5424	346	3	102456	102456	NUM
cana-5424	346	4	.	.	PUNCT
cana-5424	347	1	[	[	X
cana-5424	347	2	9	9	NUM
cana-5424	347	3	]	]	X
cana-5424	347	4	esmaeili	esmaeili	NOUN
cana-5424	347	5	-	-	PUNCT
cana-5424	347	6	najafabadi	najafabadi	NOUN
cana-5424	347	7	,	,	PUNCT
cana-5424	347	8	e.	e.	PROPN
cana-5424	347	9	,	,	PUNCT
cana-5424	347	10	nezhad	nezhad	VERB
cana-5424	347	11	,	,	PUNCT
cana-5424	347	12	m.s.f	m.s.f	PROPN
cana-5424	347	13	.	.	PROPN
cana-5424	347	14	,	,	PUNCT
cana-5424	347	15	pourmohammadi	pourmohammadi	PROPN
cana-5424	347	16	,	,	PUNCT
cana-5424	347	17	h.	h.	PROPN
cana-5424	347	18	,	,	PUNCT
cana-5424	347	19	honarvar	honarvar	NOUN
cana-5424	347	20	,	,	PUNCT
cana-5424	347	21	m.	m.	NOUN
cana-5424	347	22	,	,	PUNCT
cana-5424	347	23	vahdatzad	vahdatzad	PROPN
cana-5424	347	24	,	,	PUNCT
cana-5424	347	25	m.a	m.a	PROPN
cana-5424	347	26	.	.	PROPN
cana-5424	347	27	,	,	PUNCT
cana-5424	347	28	2019	2019	NUM
cana-5424	347	29	.	.	PUNCT
cana-5424	348	1	a	a	DET
cana-5424	348	2	joint	joint	ADJ
cana-5424	348	3	supplier	supplier	NOUN
cana-5424	348	4	selection	selection	NOUN
cana-5424	348	5	and	and	CCONJ
cana-5424	348	6	order	order	NOUN
cana-5424	348	7	allocation	allocation	NOUN
cana-5424	348	8	model	model	NOUN
cana-5424	348	9	with	with	ADP
cana-5424	348	10	disruption	disruption	NOUN
cana-5424	348	11	risks	risk	NOUN
cana-5424	348	12	in	in	ADP
cana-5424	348	13	centralized	centralized	ADJ
cana-5424	348	14	supply	supply	NOUN
cana-5424	348	15	chain	chain	NOUN
cana-5424	348	16	.	.	PUNCT
cana-5424	349	1	comput	comput	NOUN
cana-5424	349	2	.	.	PUNCT
cana-5424	350	1	ind	ind	PROPN
cana-5424	350	2	.	.	PUNCT
cana-5424	351	1	eng	eng	PROPN
cana-5424	351	2	.	.	PROPN
cana-5424	352	1	127	127	NUM
cana-5424	352	2	,	,	PUNCT
cana-5424	352	3	734–748	734–748	NUM
cana-5424	352	4	.	.	PUNCT
cana-5424	353	1	[	[	X
cana-5424	353	2	10	10	NUM
cana-5424	353	3	]	]	X
cana-5424	353	4	gautam	gautam	PROPN
cana-5424	353	5	,	,	PUNCT
cana-5424	353	6	p.	p.	NOUN
cana-5424	353	7	,	,	PUNCT
cana-5424	353	8	maheshwari	maheshwari	PROPN
cana-5424	353	9	,	,	PUNCT
cana-5424	353	10	s.	s.	PROPN
cana-5424	353	11	,	,	PUNCT
cana-5424	353	12	jaggi	jaggi	PROPN
cana-5424	353	13	,	,	PUNCT
cana-5424	353	14	c.k	c.k	PROPN
cana-5424	353	15	.	.	PROPN
cana-5424	353	16	,	,	PUNCT
cana-5424	353	17	2022	2022	NUM
cana-5424	353	18	.	.	PUNCT
cana-5424	354	1	sustainable	sustainable	ADJ
cana-5424	354	2	production	production	NOUN
cana-5424	354	3	inventory	inventory	NOUN
cana-5424	354	4	model	model	NOUN
cana-5424	354	5	with	with	ADP
cana-5424	354	6	greening	greening	NOUN
cana-5424	354	7	degree	degree	NOUN
cana-5424	354	8	and	and	CCONJ
cana-5424	354	9	dual	dual	ADJ
cana-5424	354	10	determinants	determinant	NOUN
cana-5424	354	11	of	of	ADP
cana-5424	354	12	defective	defective	ADJ
cana-5424	354	13	items	item	NOUN
cana-5424	354	14	.	.	PUNCT
cana-5424	355	1	j.	j.	PROPN
cana-5424	355	2	clean	clean	PROPN
cana-5424	355	3	.	.	PUNCT
cana-5424	356	1	prod	prod	PROPN
cana-5424	356	2	.	.	PUNCT
cana-5424	357	1	367	367	NUM
cana-5424	357	2	,	,	PUNCT
cana-5424	357	3	132879	132879	NUM
cana-5424	357	4	.	.	PUNCT
cana-5424	358	1	[	[	X
cana-5424	358	2	11	11	NUM
cana-5424	358	3	]	]	X
cana-5424	358	4	jena	jena	PROPN
cana-5424	358	5	,	,	PUNCT
cana-5424	358	6	s.k	s.k	PROPN
cana-5424	358	7	.	.	PROPN
cana-5424	358	8	,	,	PUNCT
cana-5424	358	9	meena	meena	PROPN
cana-5424	358	10	,	,	PUNCT
cana-5424	358	11	p.	p.	NOUN
cana-5424	358	12	,	,	PUNCT
cana-5424	358	13	2022b	2022b	NUM
cana-5424	358	14	.	.	PUNCT
cana-5424	359	1	competitive	competitive	ADJ
cana-5424	359	2	sustainable	sustainable	ADJ
cana-5424	359	3	processes	process	NOUN
cana-5424	359	4	and	and	CCONJ
cana-5424	359	5	pricing	pricing	NOUN
cana-5424	359	6	decisions	decision	NOUN
cana-5424	359	7	in	in	ADP
cana-5424	359	8	omnichannel	omnichannel	NOUN
cana-5424	359	9	closed	close	VERB
cana-5424	359	10	-	-	PUNCT
cana-5424	359	11	up	up	ADP
cana-5424	359	12	supply	supply	NOUN
cana-5424	359	13	chains	chain	NOUN
cana-5424	359	14	under	under	ADP
cana-5424	359	15	different	different	ADJ
cana-5424	359	16	channel	channel	NOUN
cana-5424	359	17	power	power	NOUN
cana-5424	359	18	structures	structure	NOUN
cana-5424	359	19	.	.	PUNCT
cana-5424	360	1	j.	j.	PROPN
cana-5424	360	2	retail	retail	PROPN
cana-5424	360	3	.	.	PUNCT
cana-5424	361	1	consum	consum	PROPN
cana-5424	361	2	.	.	PUNCT
cana-5424	362	1	serv	serv	PROPN
cana-5424	362	2	.	.	PROPN
cana-5424	363	1	69	69	NUM
cana-5424	363	2	,	,	PUNCT
cana-5424	363	3	103114	103114	NUM
cana-5424	363	4	.	.	PUNCT
cana-5424	364	1	[	[	X
cana-5424	364	2	12	12	NUM
cana-5424	364	3	]	]	X
cana-5424	364	4	joshi	joshi	PROPN
cana-5424	364	5	,	,	PUNCT
cana-5424	364	6	s.	s.	PROPN
cana-5424	364	7	,	,	PUNCT
cana-5424	364	8	sharma	sharma	PROPN
cana-5424	364	9	,	,	PUNCT
cana-5424	364	10	m.	m.	NOUN
cana-5424	364	11	,	,	PUNCT
cana-5424	364	12	2022	2022	NUM
cana-5424	364	13	.	.	PUNCT
cana-5424	365	1	impact	impact	NOUN
cana-5424	365	2	of	of	ADP
cana-5424	365	3	sustainable	sustainable	ADJ
cana-5424	365	4	supply	supply	NOUN
cana-5424	365	5	chain	chain	NOUN
cana-5424	365	6	management	management	NOUN
cana-5424	365	7	on	on	ADP
cana-5424	365	8	performance	performance	NOUN
cana-5424	365	9	of	of	ADP
cana-5424	365	10	smes	sme	NOUN
cana-5424	365	11	amidst	amidst	ADP
cana-5424	365	12	covid-19	covid-19	PROPN
cana-5424	365	13	pandemic	pandemic	NOUN
cana-5424	365	14	:	:	PUNCT
cana-5424	365	15	an	an	DET
cana-5424	365	16	indian	indian	ADJ
cana-5424	365	17	perspective	perspective	NOUN
cana-5424	365	18	.	.	PUNCT
cana-5424	366	1	int	int	NOUN
cana-5424	366	2	.	.	PUNCT
cana-5424	367	1	j.	j.	PROPN
cana-5424	367	2	logist	logist	PROPN
cana-5424	367	3	.	.	PUNCT
cana-5424	368	1	econ	econ	PROPN
cana-5424	368	2	.	.	PUNCT
cana-5424	368	3	glob	glob	PROPN
cana-5424	368	4	.	.	PUNCT
cana-5424	368	5	9	9	NUM
cana-5424	368	6	(	(	PUNCT
cana-5424	368	7	3	3	NUM
cana-5424	368	8	)	)	PUNCT
cana-5424	368	9	,	,	PUNCT
cana-5424	368	10	248–276	248–276	NUM
cana-5424	368	11	.	.	PUNCT
cana-5424	369	1	[	[	X
cana-5424	369	2	13	13	NUM
cana-5424	369	3	]	]	X
cana-5424	369	4	kang	kang	PROPN
cana-5424	369	5	,	,	PUNCT
cana-5424	369	6	k.	k.	PROPN
cana-5424	369	7	,	,	PUNCT
cana-5424	369	8	tan	tan	PROPN
cana-5424	369	9	,	,	PUNCT
cana-5424	369	10	b.q	b.q	PROPN
cana-5424	369	11	.	.	PROPN
cana-5424	369	12	,	,	PUNCT
cana-5424	369	13	2023	2023	NUM
cana-5424	369	14	.	.	PUNCT
cana-5424	369	15	carbon	carbon	NOUN
cana-5424	369	16	emission	emission	NOUN
cana-5424	369	17	reduction	reduction	NOUN
cana-5424	369	18	investment	investment	NOUN
cana-5424	369	19	in	in	ADP
cana-5424	369	20	sustainable	sustainable	ADJ
cana-5424	369	21	supply	supply	NOUN
cana-5424	369	22	chains	chain	NOUN
cana-5424	369	23	under	under	ADP
cana-5424	369	24	cap	cap	NOUN
cana-5424	369	25	-	-	PUNCT
cana-5424	369	26	and	and	CCONJ
cana-5424	369	27	-	-	PUNCT
cana-5424	369	28	trade	trade	NOUN
cana-5424	369	29	regulation	regulation	NOUN
cana-5424	369	30	:	:	PUNCT
cana-5424	369	31	an	an	DET
cana-5424	369	32	evolutionary	evolutionary	ADJ
cana-5424	369	33	game	game	NOUN
cana-5424	369	34	-	-	PUNCT
cana-5424	369	35	theoretical	theoretical	NOUN
cana-5424	369	36	perspective	perspective	NOUN
cana-5424	369	37	.	.	PUNCT
cana-5424	370	1	expert	expert	NOUN
cana-5424	370	2	syst	syst	PROPN
cana-5424	370	3	.	.	PUNCT
cana-5424	371	1	appl	appl	PROPN
cana-5424	371	2	.	.	PROPN
cana-5424	372	1	227	227	NUM
cana-5424	372	2	,	,	PUNCT
cana-5424	372	3	120335	120335	NUM
cana-5424	372	4	.	.	PUNCT
cana-5424	373	1	[	[	X
cana-5424	373	2	14	14	NUM
cana-5424	373	3	]	]	X
cana-5424	373	4	kar	kar	PROPN
cana-5424	373	5	,	,	PUNCT
cana-5424	373	6	s.	s.	PROPN
cana-5424	373	7	,	,	PUNCT
cana-5424	373	8	basu	basu	PROPN
cana-5424	373	9	,	,	PUNCT
cana-5424	373	10	k.	k.	PROPN
cana-5424	373	11	,	,	PUNCT
cana-5424	373	12	sarkar	sarkar	PROPN
cana-5424	373	13	,	,	PUNCT
cana-5424	373	14	b.	b.	PROPN
cana-5424	373	15	,	,	PUNCT
cana-5424	373	16	2023	2023	NUM
cana-5424	373	17	.	.	PUNCT
cana-5424	374	1	advertisement	advertisement	NOUN
cana-5424	374	2	policy	policy	NOUN
cana-5424	374	3	for	for	ADP
cana-5424	374	4	dual	dual	ADJ
cana-5424	374	5	-	-	PUNCT
cana-5424	374	6	channel	channel	NOUN
cana-5424	374	7	within	within	ADP
cana-5424	374	8	emissions	emission	NOUN
cana-5424	374	9	-	-	PUNCT
cana-5424	374	10	controlled	control	VERB
cana-5424	374	11	flexible	flexible	ADJ
cana-5424	374	12	production	production	NOUN
cana-5424	374	13	system	system	NOUN
cana-5424	374	14	.	.	PUNCT
cana-5424	375	1	j.	j.	PROPN
cana-5424	375	2	retail	retail	PROPN
cana-5424	375	3	.	.	PUNCT
cana-5424	376	1	consum	consum	PROPN
cana-5424	376	2	.	.	PUNCT
cana-5424	377	1	serv	serv	PROPN
cana-5424	377	2	.	.	PROPN
cana-5424	378	1	71	71	NUM
cana-5424	378	2	,	,	PUNCT
cana-5424	378	3	103077	103077	NUM
cana-5424	378	4	.	.	PUNCT
cana-5424	379	1	[	[	X
cana-5424	379	2	15	15	NUM
cana-5424	379	3	]	]	X
cana-5424	379	4	lim	lim	PROPN
cana-5424	379	5	,	,	PUNCT
cana-5424	379	6	h.	h.	PROPN
cana-5424	379	7	,	,	PUNCT
cana-5424	379	8	aviso	aviso	PROPN
cana-5424	379	9	,	,	PUNCT
cana-5424	379	10	k.b	k.b	PROPN
cana-5424	379	11	.	.	PROPN
cana-5424	379	12	,	,	PUNCT
cana-5424	379	13	sarkar	sarkar	PROPN
cana-5424	379	14	,	,	PUNCT
cana-5424	379	15	b.	b.	PROPN
cana-5424	379	16	,	,	PUNCT
cana-5424	379	17	2023	2023	NUM
cana-5424	379	18	.	.	PUNCT
cana-5424	380	1	effect	effect	NOUN
cana-5424	380	2	of	of	ADP
cana-5424	380	3	service	service	NOUN
cana-5424	380	4	factors	factor	NOUN
cana-5424	380	5	and	and	CCONJ
cana-5424	380	6	buy	buy	NOUN
cana-5424	380	7	-	-	PUNCT
cana-5424	380	8	online	online	NOUN
cana-5424	380	9	-	-	PUNCT
cana-5424	380	10	pickup	pickup	NOUN
cana-5424	380	11	-	-	PUNCT
cana-5424	380	12	in	in	ADP
cana-5424	380	13	-	-	PUNCT
cana-5424	380	14	store	store	NOUN
cana-5424	380	15	strategies	strategy	NOUN
cana-5424	380	16	through	through	ADP
cana-5424	380	17	an	an	DET
cana-5424	380	18	omnichannel	omnichannel	NOUN
cana-5424	380	19	system	system	NOUN
cana-5424	380	20	under	under	ADP
cana-5424	380	21	an	an	DET
cana-5424	380	22	agricultural	agricultural	ADJ
cana-5424	380	23	supply	supply	NOUN
cana-5424	380	24	chain	chain	NOUN
cana-5424	380	25	.	.	PUNCT
cana-5424	381	1	electron	electron	PROPN
cana-5424	381	2	.	.	PUNCT
cana-5424	382	1	commer	commer	PROPN
cana-5424	382	2	.	.	PUNCT
cana-5424	382	3	res	res	PROPN
cana-5424	382	4	.	.	PUNCT
cana-5424	382	5	appl	appl	PROPN
cana-5424	382	6	.	.	PROPN
cana-5424	383	1	60	60	NUM
cana-5424	383	2	,	,	PUNCT
cana-5424	383	3	101282	101282	NUM
cana-5424	383	4	.	.	PUNCT
cana-5424	384	1	[	[	X
cana-5424	384	2	16	16	NUM
cana-5424	384	3	]	]	X
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cana-5424	384	5	,	,	PUNCT
cana-5424	384	6	a.	a.	NOUN
cana-5424	384	7	,	,	PUNCT
cana-5424	384	8	guchhait	guchhait	PROPN
cana-5424	384	9	,	,	PUNCT
cana-5424	384	10	r.	r.	PROPN
cana-5424	384	11	,	,	PUNCT
cana-5424	384	12	sarkar	sarkar	PROPN
cana-5424	384	13	,	,	PUNCT
cana-5424	384	14	b.	b.	PROPN
cana-5424	384	15	,	,	PUNCT
cana-5424	384	16	2017	2017	NUM
cana-5424	384	17	.	.	PUNCT
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cana-5424	384	19	quality	quality	NOUN
cana-5424	384	20	improvement	improvement	NOUN
cana-5424	384	21	and	and	CCONJ
cana-5424	384	22	setup	setup	NOUN
cana-5424	384	23	cost	cost	NOUN
cana-5424	384	24	reduction	reduction	NOUN
cana-5424	384	25	in	in	ADP
cana-5424	384	26	a	a	DET
cana-5424	384	27	vendor	vendor	NOUN
cana-5424	384	28	-	-	PUNCT
cana-5424	384	29	buyer	buyer	NOUN
cana-5424	384	30	supply	supply	NOUN
cana-5424	384	31	chain	chain	NOUN
cana-5424	384	32	model	model	NOUN
cana-5424	384	33	.	.	PUNCT
cana-5424	385	1	eur	eur	PROPN
cana-5424	385	2	.	.	PUNCT
cana-5424	386	1	j.	j.	PROPN
cana-5424	386	2	ind	ind	PROPN
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cana-5424	387	2	.	.	PROPN
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cana-5424	387	4	(	(	PUNCT
cana-5424	387	5	5	5	NUM
cana-5424	387	6	)	)	PUNCT
cana-5424	387	7	,	,	PUNCT
cana-5424	387	8	588–612	588–612	NUM
cana-5424	387	9	.	.	PUNCT
cana-5424	388	1	[	[	X
cana-5424	388	2	17	17	NUM
cana-5424	388	3	]	]	X
cana-5424	388	4	mashud	mashud	PROPN
cana-5424	388	5	,	,	PUNCT
cana-5424	388	6	a.h.m	a.h.m	NOUN
cana-5424	388	7	.	.	PROPN
cana-5424	388	8	,	,	PUNCT
cana-5424	388	9	roy	roy	PROPN
cana-5424	388	10	,	,	PUNCT
cana-5424	388	11	d.	d.	PROPN
cana-5424	388	12	,	,	PUNCT
cana-5424	388	13	daryanto	daryanto	PROPN
cana-5424	388	14	,	,	PUNCT
cana-5424	388	15	y.	y.	PROPN
cana-5424	388	16	,	,	PUNCT
cana-5424	388	17	ali	ali	PROPN
cana-5424	388	18	,	,	PUNCT
cana-5424	388	19	m.h	m.h	PROPN
cana-5424	388	20	.	.	PROPN
cana-5424	388	21	,	,	PUNCT
cana-5424	388	22	2020	2020	NUM
cana-5424	388	23	.	.	PUNCT
cana-5424	389	1	a	a	DET
cana-5424	389	2	sustainable	sustainable	ADJ
cana-5424	389	3	inventory	inventory	NOUN
cana-5424	389	4	model	model	NOUN
cana-5424	389	5	with	with	ADP
cana-5424	389	6	imperfect	imperfect	ADJ
cana-5424	389	7	products	product	NOUN
cana-5424	389	8	,	,	PUNCT
cana-5424	389	9	deterioration	deterioration	NOUN
cana-5424	389	10	,	,	PUNCT
cana-5424	389	11	and	and	CCONJ
cana-5424	389	12	controllable	controllable	ADJ
cana-5424	389	13	emissions	emission	NOUN
cana-5424	389	14	.	.	PUNCT
cana-5424	390	1	mathematics	mathematic	NOUN
cana-5424	390	2	8	8	NUM
cana-5424	390	3	(	(	PUNCT
cana-5424	390	4	11	11	NUM
cana-5424	390	5	)	)	PUNCT
cana-5424	390	6	,	,	PUNCT
cana-5424	390	7	2049	2049	NUM
cana-5424	390	8	.	.	PUNCT
cana-5424	391	1	[	[	X
cana-5424	391	2	18	18	NUM
cana-5424	391	3	]	]	X
cana-5424	391	4	meixell	meixell	ADJ
cana-5424	391	5	,	,	PUNCT
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cana-5424	391	7	.	.	PROPN
cana-5424	391	8	,	,	PUNCT
cana-5424	391	9	luoma	luoma	PROPN
cana-5424	391	10	,	,	PUNCT
cana-5424	391	11	p.	p.	NOUN
cana-5424	391	12	,	,	PUNCT
cana-5424	391	13	2015	2015	NUM
cana-5424	391	14	.	.	PUNCT
cana-5424	392	1	stakeholder	stakeholder	NOUN
cana-5424	392	2	pressure	pressure	NOUN
cana-5424	392	3	in	in	ADP
cana-5424	392	4	sustainable	sustainable	ADJ
cana-5424	392	5	supply	supply	NOUN
cana-5424	392	6	chain	chain	NOUN
cana-5424	392	7	management	management	NOUN
cana-5424	392	8	:	:	PUNCT
cana-5424	392	9	a	a	DET
cana-5424	392	10	systematic	systematic	ADJ
cana-5424	392	11	review	review	NOUN
cana-5424	392	12	.	.	PUNCT
cana-5424	393	1	int	int	PROPN
cana-5424	393	2	j.	j.	PROPN
cana-5424	393	3	phys	phys	PROPN
cana-5424	393	4	.	.	PUNCT
cana-5424	394	1	distrib	distrib	PROPN
cana-5424	394	2	.	.	PUNCT
cana-5424	395	1	logist	logist	PROPN
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cana-5424	396	1	manag	manag	PROPN
cana-5424	396	2	.	.	PUNCT
cana-5424	397	1	communications	communication	NOUN
cana-5424	397	2	on	on	ADP
cana-5424	397	3	applied	apply	VERB
cana-5424	397	4	nonlinear	nonlinear	ADJ
cana-5424	397	5	analysis	analysis	NOUN
cana-5424	397	6	issn	issn	NOUN
cana-5424	397	7	:	:	PUNCT
cana-5424	397	8	1074	1074	NUM
cana-5424	397	9	-	-	PUNCT
cana-5424	397	10	133x	133x	NUM
cana-5424	397	11	vol	vol	NOUN
cana-5424	397	12	32	32	NUM
cana-5424	397	13	no	no	NOUN
cana-5424	397	14	.	.	PUNCT
cana-5424	398	1	10s(2025	10s(2025	NUM
cana-5424	398	2	)	)	PUNCT
cana-5424	399	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	399	2	2249	2249	NUM
cana-5424	400	1	[	[	X
cana-5424	400	2	19	19	NUM
cana-5424	400	3	]	]	X
cana-5424	400	4	rai	rai	PROPN
cana-5424	400	5	,	,	PUNCT
cana-5424	400	6	r.	r.	PROPN
cana-5424	400	7	,	,	PUNCT
cana-5424	400	8	tiwari	tiwari	PROPN
cana-5424	400	9	,	,	PUNCT
cana-5424	400	10	m.k	m.k	PROPN
cana-5424	400	11	.	.	PROPN
cana-5424	400	12	,	,	PUNCT
cana-5424	400	13	ivanov	ivanov	PROPN
cana-5424	400	14	,	,	PUNCT
cana-5424	400	15	d.	d.	PROPN
cana-5424	400	16	,	,	PUNCT
cana-5424	400	17	dolgui	dolgui	PROPN
cana-5424	400	18	,	,	PUNCT
cana-5424	400	19	a.	a.	NOUN
cana-5424	400	20	,	,	PUNCT
cana-5424	400	21	2021	2021	NUM
cana-5424	400	22	.	.	PUNCT
cana-5424	401	1	machine	machine	NOUN
cana-5424	401	2	learning	learning	NOUN
cana-5424	401	3	in	in	ADP
cana-5424	401	4	manufacturing	manufacturing	NOUN
cana-5424	401	5	and	and	CCONJ
cana-5424	401	6	industry	industry	NOUN
cana-5424	401	7	4.0	4.0	NUM
cana-5424	401	8	applications	application	NOUN
cana-5424	401	9	.	.	PUNCT
cana-5424	402	1	int	int	NOUN
cana-5424	402	2	.	.	PUNCT
cana-5424	403	1	j.	j.	PROPN
cana-5424	403	2	prod	prod	PROPN
cana-5424	403	3	.	.	PUNCT
cana-5424	404	1	res	re	NOUN
cana-5424	404	2	.	.	PROPN
cana-5424	405	1	59	59	NUM
cana-5424	405	2	(	(	PUNCT
cana-5424	405	3	16	16	NUM
cana-5424	405	4	)	)	PUNCT
cana-5424	405	5	,	,	PUNCT
cana-5424	405	6	4773–4778	4773–4778	NUM
cana-5424	405	7	.	.	PUNCT
cana-5424	406	1	[	[	X
cana-5424	406	2	20	20	NUM
cana-5424	406	3	]	]	X
cana-5424	406	4	reddy	reddy	PROPN
cana-5424	406	5	,	,	PUNCT
cana-5424	406	6	k.n	k.n	PROPN
cana-5424	406	7	.	.	PROPN
cana-5424	406	8	,	,	PUNCT
cana-5424	406	9	kumar	kumar	PROPN
cana-5424	406	10	,	,	PUNCT
cana-5424	406	11	a.	a.	PROPN
cana-5424	406	12	,	,	PUNCT
cana-5424	406	13	sarkis	sarkis	PROPN
cana-5424	406	14	,	,	PUNCT
cana-5424	406	15	j.	j.	PROPN
cana-5424	406	16	,	,	PUNCT
cana-5424	406	17	tiwari	tiwari	PROPN
cana-5424	406	18	,	,	PUNCT
cana-5424	406	19	m.k	m.k	PROPN
cana-5424	406	20	.	.	PROPN
cana-5424	406	21	,	,	PUNCT
cana-5424	406	22	2020	2020	NUM
cana-5424	406	23	.	.	PUNCT
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cana-5424	406	25	of	of	ADP
cana-5424	406	26	carbon	carbon	NOUN
cana-5424	406	27	tax	tax	NOUN
cana-5424	406	28	on	on	ADP
cana-5424	406	29	reverse	reverse	ADJ
cana-5424	406	30	logistics	logistic	NOUN
cana-5424	406	31	network	network	NOUN
cana-5424	406	32	design	design	NOUN
cana-5424	406	33	.	.	PUNCT
cana-5424	407	1	comput	comput	NOUN
cana-5424	407	2	.	.	PUNCT
cana-5424	408	1	ind	ind	PROPN
cana-5424	408	2	.	.	PUNCT
cana-5424	409	1	eng	eng	PROPN
cana-5424	409	2	.	.	PROPN
cana-5424	409	3	139	139	NUM
cana-5424	409	4	,	,	PUNCT
cana-5424	409	5	106184	106184	NUM
cana-5424	409	6	.	.	PUNCT
cana-5424	410	1	[	[	X
cana-5424	410	2	21	21	NUM
cana-5424	410	3	]	]	X
cana-5424	410	4	rabbani	rabbani	PROPN
cana-5424	410	5	,	,	PUNCT
cana-5424	410	6	q.	q.	PROPN
cana-5424	410	7	,	,	PUNCT
cana-5424	410	8	nilesh	nilesh	PROPN
cana-5424	410	9	,	,	PUNCT
cana-5424	410	10	k.	k.	PROPN
cana-5424	410	11	,	,	PUNCT
cana-5424	410	12	azeez	azeez	PROPN
cana-5424	410	13	,	,	PUNCT
cana-5424	410	14	k.n	k.n	PROPN
cana-5424	410	15	.	.	PROPN
cana-5424	410	16	,	,	PUNCT
cana-5424	410	17	2024	2024	NUM
cana-5424	410	18	.	.	PUNCT
cana-5424	411	1	determination	determination	NOUN
cana-5424	411	2	of	of	ADP
cana-5424	411	3	continuous	continuous	ADJ
cana-5424	411	4	deterioration	deterioration	NOUN
cana-5424	411	5	level	level	NOUN
cana-5424	411	6	due	due	ADP
cana-5424	411	7	to	to	ADP
cana-5424	411	8	changing	change	VERB
cana-5424	411	9	demand	demand	NOUN
cana-5424	411	10	rates	rate	NOUN
cana-5424	411	11	in	in	ADP
cana-5424	411	12	inventory	inventory	NOUN
cana-5424	411	13	.	.	PUNCT
cana-5424	412	1	communications	communication	NOUN
cana-5424	412	2	on	on	ADP
cana-5424	412	3	applied	apply	VERB
cana-5424	412	4	nonlinear	nonlinear	ADJ
cana-5424	412	5	analysis	analysis	NOUN
cana-5424	412	6	issn	issn	NOUN
cana-5424	412	7	:	:	PUNCT
cana-5424	412	8	1074	1074	NUM
cana-5424	412	9	-	-	PUNCT
cana-5424	412	10	133x	133x	NUM
cana-5424	412	11	vol	vol	NOUN
cana-5424	412	12	31	31	NUM
cana-5424	412	13	no	no	NOUN
cana-5424	412	14	.	.	PUNCT
cana-5424	413	1	3s	3s	NUM
cana-5424	413	2	(	(	PUNCT
cana-5424	413	3	2024	2024	NUM
cana-5424	413	4	)	)	PUNCT
cana-5424	413	5	,	,	PUNCT
cana-5424	413	6	325	325	NUM
cana-5424	413	7	-	-	SYM
cana-5424	413	8	335	335	NUM
cana-5424	413	9	.	.	PUNCT
cana-5424	414	1	[	[	X
cana-5424	414	2	22	22	NUM
cana-5424	414	3	]	]	PUNCT
cana-5424	414	4	xu	xu	PROPN
cana-5424	414	5	,	,	PUNCT
cana-5424	414	6	j.	j.	PROPN
cana-5424	414	7	,	,	PUNCT
cana-5424	414	8	chen	chen	PROPN
cana-5424	414	9	,	,	PUNCT
cana-5424	414	10	y.	y.	PROPN
cana-5424	414	11	,	,	PUNCT
cana-5424	414	12	bai	bai	PROPN
cana-5424	414	13	,	,	PUNCT
cana-5424	414	14	q.	q.	PROPN
cana-5424	414	15	,	,	PUNCT
cana-5424	414	16	2016	2016	NUM
cana-5424	414	17	.	.	PUNCT
cana-5424	415	1	a	a	DET
cana-5424	415	2	two	two	NUM
cana-5424	415	3	-	-	PUNCT
cana-5424	415	4	echelon	echelon	NOUN
cana-5424	415	5	sustainable	sustainable	ADJ
cana-5424	415	6	supply	supply	NOUN
cana-5424	415	7	chain	chain	NOUN
cana-5424	415	8	coordination	coordination	NOUN
cana-5424	415	9	under	under	ADP
cana-5424	415	10	cap	cap	NOUN
cana-5424	415	11	-	-	PUNCT
cana-5424	415	12	and	and	CCONJ
cana-5424	415	13	-	-	PUNCT
cana-5424	415	14	trade	trade	NOUN
cana-5424	415	15	regulation	regulation	NOUN
cana-5424	415	16	.	.	PUNCT
cana-5424	416	1	j.	j.	PROPN
cana-5424	416	2	clean	clean	PROPN
cana-5424	416	3	.	.	PUNCT
cana-5424	417	1	prod	prod	PROPN
cana-5424	417	2	.	.	PUNCT
cana-5424	418	1	135	135	NUM
cana-5424	418	2	,	,	PUNCT
cana-5424	418	3	42–56	42–56	NUM
cana-5424	418	4	.	.	PUNCT
cana-5424	419	1	[	[	X
cana-5424	419	2	23	23	NUM
cana-5424	419	3	]	]	SYM
cana-5424	419	4	ye	ye	PROPN
cana-5424	419	5	,	,	PUNCT
cana-5424	419	6	f.	f.	PROPN
cana-5424	419	7	,	,	PUNCT
cana-5424	419	8	liu	liu	PROPN
cana-5424	419	9	,	,	PUNCT
cana-5424	419	10	k.	k.	PROPN
cana-5424	419	11	,	,	PUNCT
cana-5424	419	12	li	li	PROPN
cana-5424	419	13	,	,	PUNCT
cana-5424	419	14	l.	l.	PROPN
cana-5424	419	15	,	,	PUNCT
cana-5424	419	16	lai	lai	PROPN
cana-5424	419	17	,	,	PUNCT
cana-5424	419	18	k.h	k.h	PROPN
cana-5424	419	19	.	.	PROPN
cana-5424	419	20	,	,	PUNCT
cana-5424	419	21	zhan	zhan	PROPN
cana-5424	419	22	,	,	PUNCT
cana-5424	419	23	y.	y.	PROPN
cana-5424	419	24	,	,	PUNCT
cana-5424	419	25	kumar	kumar	PROPN
cana-5424	419	26	,	,	PUNCT
cana-5424	419	27	a.	a.	NOUN
cana-5424	419	28	,	,	PUNCT
cana-5424	419	29	2022	2022	NUM
cana-5424	419	30	.	.	PUNCT
cana-5424	420	1	digital	digital	ADJ
cana-5424	420	2	supply	supply	NOUN
cana-5424	420	3	chain	chain	NOUN
cana-5424	420	4	management	management	NOUN
cana-5424	420	5	in	in	ADP
cana-5424	420	6	the	the	DET
cana-5424	420	7	covid-19	covid-19	PROPN
cana-5424	420	8	crisis	crisis	NOUN
cana-5424	420	9	:	:	PUNCT
cana-5424	420	10	an	an	DET
cana-5424	420	11	asset	asset	NOUN
cana-5424	420	12	orchestration	orchestration	NOUN
cana-5424	420	13	perspective	perspective	NOUN
cana-5424	420	14	.	.	PUNCT
cana-5424	421	1	int	int	NOUN
cana-5424	421	2	.	.	PUNCT
cana-5424	422	1	j.	j.	PROPN
cana-5424	422	2	prod	prod	PROPN
cana-5424	422	3	.	.	PUNCT
cana-5424	422	4	econ	econ	PROPN
cana-5424	422	5	.	.	PUNCT
cana-5424	423	1	245	245	NUM
cana-5424	423	2	,	,	PUNCT
cana-5424	423	3	108396	108396	NUM
cana-5424	423	4	.	.	PUNCT
cana-5424	424	1	communications	communication	NOUN
cana-5424	424	2	on	on	ADP
cana-5424	424	3	applied	apply	VERB
cana-5424	424	4	nonlinear	nonlinear	ADJ
cana-5424	424	5	analysis	analysis	NOUN
cana-5424	424	6	issn	issn	NOUN
cana-5424	424	7	:	:	PUNCT
cana-5424	424	8	1074	1074	NUM
cana-5424	424	9	-	-	PUNCT
cana-5424	424	10	133x	133x	NUM
cana-5424	424	11	vol	vol	NOUN
cana-5424	424	12	32	32	NUM
cana-5424	424	13	no	no	NOUN
cana-5424	424	14	.	.	PUNCT
cana-5424	425	1	10s(2025	10s(2025	NUM
cana-5424	425	2	)	)	PUNCT
cana-5424	426	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-5424	426	2	2250	2250	NUM