id	sid	tid	token	lemma	pos
cana-949	1	1	communications	communication	NOUN
cana-949	1	2	on	on	ADP
cana-949	1	3	applied	apply	VERB
cana-949	1	4	nonlinear	nonlinear	ADJ
cana-949	1	5	analysis	analysis	NOUN
cana-949	1	6	issn	issn	NOUN
cana-949	1	7	:	:	PUNCT
cana-949	1	8	1074	1074	NUM
cana-949	1	9	-	-	PUNCT
cana-949	1	10	133x	133x	NUM
cana-949	1	11	vol	vol	NOUN
cana-949	1	12	31	31	NUM
cana-949	1	13	no	no	NOUN
cana-949	1	14	.	.	PUNCT
cana-949	2	1	4s	4s	NUM
cana-949	2	2	(	(	PUNCT
cana-949	2	3	2024	2024	NUM
cana-949	2	4	)	)	PUNCT
cana-949	2	5	540	540	NUM
cana-949	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	2	7	analyze	analyze	VERB
cana-949	2	8	the	the	DET
cana-949	2	9	stochastic	stochastic	ADJ
cana-949	2	10	solid	solid	ADJ
cana-949	2	11	fuzzy	fuzzy	ADJ
cana-949	2	12	transportation	transportation	NOUN
cana-949	2	13	problem	problem	NOUN
cana-949	2	14	with	with	ADP
cana-949	2	15	mixed	mixed	ADJ
cana-949	2	16	constraints	constraint	NOUN
cana-949	2	17	through	through	ADP
cana-949	2	18	weibull	weibull	PROPN
cana-949	2	19	distribution	distribution	PROPN
cana-949	2	20	rashi	rashi	PROPN
cana-949	2	21	arya1	arya1	PROPN
cana-949	2	22	,	,	PUNCT
cana-949	2	23	dr	dr	PROPN
cana-949	2	24	.	.	PROPN
cana-949	2	25	vipin	vipin	PROPN
cana-949	2	26	kumar2	kumar2	PROPN
cana-949	2	27	,	,	PUNCT
cana-949	2	28	dr	dr	PROPN
cana-949	2	29	.	.	PROPN
cana-949	2	30	abhinav	abhinav	PROPN
cana-949	2	31	saxena3	saxena3	PROPN
cana-949	3	1	1,2,3department	1,2,3department	NUM
cana-949	3	2	of	of	ADP
cana-949	3	3	mathematics	mathematic	NOUN
cana-949	3	4	,	,	PUNCT
cana-949	3	5	faculty	faculty	NOUN
cana-949	3	6	of	of	ADP
cana-949	3	7	engineering	engineering	NOUN
cana-949	3	8	,	,	PUNCT
cana-949	3	9	teerthanker	teerthanker	NOUN
cana-949	3	10	mahaveer	mahaveer	PROPN
cana-949	3	11	university	university	PROPN
cana-949	3	12	,	,	PUNCT
cana-949	3	13	moradabad	moradabad	PROPN
cana-949	3	14	,	,	PUNCT
cana-949	3	15	india	india	PROPN
cana-949	3	16	article	article	NOUN
cana-949	3	17	history	history	NOUN
cana-949	3	18	:	:	PUNCT
cana-949	3	19	received	receive	VERB
cana-949	3	20	:	:	PUNCT
cana-949	3	21	17	17	NUM
cana-949	3	22	-	-	PUNCT
cana-949	3	23	04	04	NUM
cana-949	3	24	-	-	PUNCT
cana-949	3	25	2024	2024	NUM
cana-949	3	26	revised	revise	VERB
cana-949	3	27	:	:	PUNCT
cana-949	3	28	07	07	NUM
cana-949	3	29	-	-	PUNCT
cana-949	3	30	06	06	NUM
cana-949	3	31	-	-	PUNCT
cana-949	3	32	2024	2024	NUM
cana-949	3	33	accepted	accept	VERB
cana-949	3	34	:	:	PUNCT
cana-949	3	35	17	17	NUM
cana-949	3	36	-	-	SYM
cana-949	3	37	06	06	NUM
cana-949	3	38	-	-	PUNCT
cana-949	3	39	2024	2024	NUM
cana-949	3	40	abstract	abstract	NOUN
cana-949	3	41	:	:	PUNCT
cana-949	3	42	this	this	DET
cana-949	3	43	paper	paper	NOUN
cana-949	3	44	proposed	propose	VERB
cana-949	3	45	a	a	DET
cana-949	3	46	general	general	ADJ
cana-949	3	47	formulation	formulation	NOUN
cana-949	3	48	of	of	ADP
cana-949	3	49	the	the	DET
cana-949	3	50	stochastic	stochastic	ADJ
cana-949	3	51	solid	solid	ADJ
cana-949	3	52	transportation	transportation	NOUN
cana-949	3	53	problem	problem	NOUN
cana-949	3	54	(	(	PUNCT
cana-949	3	55	sstp	sstp	NOUN
cana-949	3	56	)	)	PUNCT
cana-949	3	57	with	with	ADP
cana-949	3	58	mixed	mixed	ADJ
cana-949	3	59	constraints	constraint	NOUN
cana-949	3	60	such	such	ADJ
cana-949	3	61	as	as	ADP
cana-949	3	62	supply	supply	NOUN
cana-949	3	63	,	,	PUNCT
cana-949	3	64	demand	demand	NOUN
cana-949	3	65	and	and	CCONJ
cana-949	3	66	conveyance	conveyance	NOUN
cana-949	3	67	capacity	capacity	NOUN
cana-949	3	68	taken	take	VERB
cana-949	3	69	as	as	ADV
cana-949	3	70	uncertain	uncertain	ADJ
cana-949	3	71	under	under	ADP
cana-949	3	72	stochastic	stochastic	ADJ
cana-949	3	73	environment	environment	NOUN
cana-949	3	74	,	,	PUNCT
cana-949	3	75	following	follow	VERB
cana-949	3	76	the	the	DET
cana-949	3	77	weibull	weibull	NOUN
cana-949	3	78	distribution	distribution	NOUN
cana-949	3	79	(	(	PUNCT
cana-949	3	80	wd	wd	PROPN
cana-949	3	81	)	)	PUNCT
cana-949	3	82	.	.	PUNCT
cana-949	4	1	the	the	DET
cana-949	4	2	aim	aim	NOUN
cana-949	4	3	of	of	ADP
cana-949	4	4	this	this	DET
cana-949	4	5	study	study	NOUN
cana-949	4	6	is	be	AUX
cana-949	4	7	to	to	PART
cana-949	4	8	minimize	minimize	VERB
cana-949	4	9	the	the	DET
cana-949	4	10	transportation	transportation	NOUN
cana-949	4	11	cost	cost	NOUN
cana-949	4	12	includes	include	VERB
cana-949	4	13	probabilistic	probabilistic	ADJ
cana-949	4	14	constraints	constraint	NOUN
cana-949	4	15	have	have	VERB
cana-949	4	16	inequalities	inequality	NOUN
cana-949	4	17	of	of	ADP
cana-949	4	18	stochastic	stochastic	ADJ
cana-949	4	19	solid	solid	ADJ
cana-949	4	20	transportation	transportation	NOUN
cana-949	4	21	problem	problem	NOUN
cana-949	4	22	(	(	PUNCT
cana-949	4	23	sstp	sstp	ADJ
cana-949	4	24	)	)	PUNCT
cana-949	4	25	.	.	PUNCT
cana-949	5	1	sstp	sstp	VERB
cana-949	5	2	with	with	ADP
cana-949	5	3	probabilistic	probabilistic	ADJ
cana-949	5	4	constraints	constraint	NOUN
cana-949	5	5	is	be	AUX
cana-949	5	6	represented	represent	VERB
cana-949	5	7	as	as	ADP
cana-949	5	8	a	a	DET
cana-949	5	9	chance	chance	NOUN
cana-949	5	10	constrained	constrain	VERB
cana-949	5	11	programming	programming	NOUN
cana-949	5	12	problem	problem	NOUN
cana-949	5	13	.	.	PUNCT
cana-949	6	1	obtain	obtain	VERB
cana-949	6	2	alpha	alpha	NOUN
cana-949	6	3	cut	cut	NOUN
cana-949	6	4	representation	representation	NOUN
cana-949	6	5	from	from	ADP
cana-949	6	6	cost	cost	NOUN
cana-949	6	7	coefficient	coefficient	NOUN
cana-949	6	8	of	of	ADP
cana-949	6	9	the	the	DET
cana-949	6	10	fuzzy	fuzzy	ADJ
cana-949	6	11	objective	objective	ADJ
cana-949	6	12	function	function	NOUN
cana-949	6	13	.	.	PUNCT
cana-949	7	1	we	we	PRON
cana-949	7	2	have	have	AUX
cana-949	7	3	developed	develop	VERB
cana-949	7	4	four	four	NUM
cana-949	7	5	models	model	NOUN
cana-949	7	6	for	for	ADP
cana-949	7	7	stochastic	stochastic	ADJ
cana-949	7	8	solid	solid	ADJ
cana-949	7	9	transportation	transportation	NOUN
cana-949	7	10	problem	problem	NOUN
cana-949	7	11	.	.	PUNCT
cana-949	8	1	the	the	DET
cana-949	8	2	suggested	suggest	VERB
cana-949	8	3	models	model	NOUN
cana-949	8	4	are	be	AUX
cana-949	8	5	demonstrated	demonstrate	VERB
cana-949	8	6	by	by	ADP
cana-949	8	7	taken	take	VERB
cana-949	8	8	as	as	ADP
cana-949	8	9	numerical	numerical	ADJ
cana-949	8	10	example	example	NOUN
cana-949	8	11	.	.	PUNCT
cana-949	9	1	a	a	DET
cana-949	9	2	sensitivity	sensitivity	NOUN
cana-949	9	3	analysis	analysis	NOUN
cana-949	9	4	is	be	AUX
cana-949	9	5	performed	perform	VERB
cana-949	9	6	to	to	PART
cana-949	9	7	understand	understand	VERB
cana-949	9	8	parameter	parameter	NOUN
cana-949	9	9	’s	’s	PART
cana-949	9	10	sensitivity	sensitivity	NOUN
cana-949	9	11	in	in	ADP
cana-949	9	12	the	the	DET
cana-949	9	13	proposed	propose	VERB
cana-949	9	14	model	model	NOUN
cana-949	9	15	.	.	PUNCT
cana-949	10	1	introduction	introduction	NOUN
cana-949	10	2	:	:	PUNCT
cana-949	10	3	in	in	ADP
cana-949	10	4	system	system	NOUN
cana-949	10	5	of	of	ADP
cana-949	10	6	transportation	transportation	NOUN
cana-949	10	7	,	,	PUNCT
cana-949	10	8	goods	good	NOUN
cana-949	10	9	are	be	AUX
cana-949	10	10	moved	move	VERB
cana-949	10	11	from	from	ADP
cana-949	10	12	various	various	ADJ
cana-949	10	13	sources	source	NOUN
cana-949	10	14	to	to	ADP
cana-949	10	15	destinations	destination	NOUN
cana-949	10	16	using	use	VERB
cana-949	10	17	different	different	ADJ
cana-949	10	18	vehicles	vehicle	NOUN
cana-949	10	19	and	and	CCONJ
cana-949	10	20	organizational	organizational	ADJ
cana-949	10	21	systems	system	NOUN
cana-949	10	22	,	,	PUNCT
cana-949	10	23	involving	involve	VERB
cana-949	10	24	both	both	CCONJ
cana-949	10	25	technology	technology	NOUN
cana-949	10	26	and	and	CCONJ
cana-949	10	27	human	human	ADJ
cana-949	10	28	efforts	effort	NOUN
cana-949	10	29	.	.	PUNCT
cana-949	11	1	efficient	efficient	ADJ
cana-949	11	2	resource	resource	NOUN
cana-949	11	3	allocation	allocation	NOUN
cana-949	11	4	in	in	ADP
cana-949	11	5	transportation	transportation	NOUN
cana-949	11	6	system	system	NOUN
cana-949	11	7	is	be	AUX
cana-949	11	8	crucial	crucial	ADJ
cana-949	11	9	for	for	ADP
cana-949	11	10	industries	industry	NOUN
cana-949	11	11	and	and	CCONJ
cana-949	11	12	imprecision	imprecision	NOUN
cana-949	11	13	from	from	ADP
cana-949	11	14	factors	factor	NOUN
cana-949	11	15	like	like	ADP
cana-949	11	16	fluctuating	fluctuate	VERB
cana-949	11	17	demand	demand	NOUN
cana-949	11	18	,	,	PUNCT
cana-949	11	19	unreliable	unreliable	ADJ
cana-949	11	20	supply	supply	NOUN
cana-949	11	21	chains	chain	NOUN
cana-949	11	22	and	and	CCONJ
cana-949	11	23	unpredictable	unpredictable	ADJ
cana-949	11	24	traffic	traffic	NOUN
cana-949	11	25	.	.	PUNCT
cana-949	12	1	to	to	PART
cana-949	12	2	address	address	VERB
cana-949	12	3	these	these	DET
cana-949	12	4	complexities	complexity	NOUN
cana-949	12	5	,	,	PUNCT
cana-949	12	6	advanced	advanced	ADJ
cana-949	12	7	mathematical	mathematical	ADJ
cana-949	12	8	models	model	NOUN
cana-949	12	9	are	be	AUX
cana-949	12	10	needed	need	VERB
cana-949	12	11	to	to	PART
cana-949	12	12	manage	manage	VERB
cana-949	12	13	stochasticity	stochasticity	NOUN
cana-949	12	14	,	,	PUNCT
cana-949	12	15	fuzziness	fuzziness	NOUN
cana-949	12	16	and	and	CCONJ
cana-949	12	17	mixed	mixed	ADJ
cana-949	12	18	constraints	constraint	NOUN
cana-949	12	19	.	.	PUNCT
cana-949	13	1	the	the	DET
cana-949	13	2	study	study	NOUN
cana-949	13	3	explores	explore	VERB
cana-949	13	4	the	the	DET
cana-949	13	5	stochastic	stochastic	ADJ
cana-949	13	6	solid	solid	ADJ
cana-949	13	7	fuzzy	fuzzy	ADJ
cana-949	13	8	transportation	transportation	NOUN
cana-949	13	9	problem	problem	NOUN
cana-949	13	10	with	with	ADP
cana-949	13	11	mixed	mixed	ADJ
cana-949	13	12	constraint	constraint	NOUN
cana-949	13	13	by	by	ADP
cana-949	13	14	utilizing	utilize	VERB
cana-949	13	15	the	the	DET
cana-949	13	16	weibull	weibull	NOUN
cana-949	13	17	distribution	distribution	NOUN
cana-949	13	18	to	to	PART
cana-949	13	19	model	model	VERB
cana-949	13	20	uncertainties	uncertainty	NOUN
cana-949	13	21	inherent	inherent	ADJ
cana-949	13	22	in	in	ADP
cana-949	13	23	transportation	transportation	NOUN
cana-949	13	24	systems	system	NOUN
cana-949	13	25	.	.	PUNCT
cana-949	14	1	this	this	DET
cana-949	14	2	research	research	NOUN
cana-949	14	3	addresses	address	VERB
cana-949	14	4	the	the	DET
cana-949	14	5	complexity	complexity	NOUN
cana-949	14	6	introduced	introduce	VERB
cana-949	14	7	by	by	ADP
cana-949	14	8	stochastic	stochastic	ADJ
cana-949	14	9	variables	variable	NOUN
cana-949	14	10	and	and	CCONJ
cana-949	14	11	fuzzy	fuzzy	ADJ
cana-949	14	12	parameters	parameter	NOUN
cana-949	14	13	,	,	PUNCT
cana-949	14	14	particularly	particularly	ADV
cana-949	14	15	in	in	ADP
cana-949	14	16	situations	situation	NOUN
cana-949	14	17	where	where	SCONJ
cana-949	14	18	demand	demand	NOUN
cana-949	14	19	,	,	PUNCT
cana-949	14	20	supply	supply	NOUN
cana-949	14	21	and	and	CCONJ
cana-949	14	22	cost	cost	NOUN
cana-949	14	23	of	of	ADP
cana-949	14	24	transportation	transportation	NOUN
cana-949	14	25	are	be	AUX
cana-949	14	26	not	not	PART
cana-949	14	27	deterministic	deterministic	ADJ
cana-949	14	28	.	.	PUNCT
cana-949	15	1	objectives	objective	NOUN
cana-949	15	2	:	:	PUNCT
cana-949	15	3	the	the	DET
cana-949	15	4	aim	aim	NOUN
cana-949	15	5	of	of	ADP
cana-949	15	6	this	this	DET
cana-949	15	7	study	study	NOUN
cana-949	15	8	is	be	AUX
cana-949	15	9	to	to	PART
cana-949	15	10	minimize	minimize	VERB
cana-949	15	11	the	the	DET
cana-949	15	12	cost	cost	NOUN
cana-949	15	13	of	of	ADP
cana-949	15	14	transportation	transportation	NOUN
cana-949	15	15	includes	include	VERB
cana-949	15	16	probabilistic	probabilistic	ADJ
cana-949	15	17	constraints	constraint	NOUN
cana-949	15	18	have	have	VERB
cana-949	15	19	inequalities	inequality	NOUN
cana-949	15	20	of	of	ADP
cana-949	15	21	stochastic	stochastic	ADJ
cana-949	15	22	solid	solid	ADJ
cana-949	15	23	transportation	transportation	NOUN
cana-949	15	24	problem	problem	NOUN
cana-949	15	25	(	(	PUNCT
cana-949	15	26	sstp	sstp	ADJ
cana-949	15	27	)	)	PUNCT
cana-949	15	28	.	.	PUNCT
cana-949	16	1	methods	method	NOUN
cana-949	16	2	:	:	PUNCT
cana-949	16	3	obtain	obtain	VERB
cana-949	16	4	alpha	alpha	NOUN
cana-949	16	5	cut	cut	NOUN
cana-949	16	6	representation	representation	NOUN
cana-949	16	7	form	form	NOUN
cana-949	16	8	the	the	DET
cana-949	16	9	cost	cost	NOUN
cana-949	16	10	coefficient	coefficient	NOUN
cana-949	16	11	of	of	ADP
cana-949	16	12	the	the	DET
cana-949	16	13	fuzzy	fuzzy	ADJ
cana-949	16	14	objective	objective	ADJ
cana-949	16	15	function	function	NOUN
cana-949	16	16	and	and	CCONJ
cana-949	16	17	four	four	NUM
cana-949	16	18	models	model	NOUN
cana-949	16	19	are	be	AUX
cana-949	16	20	developed	develop	VERB
cana-949	16	21	for	for	ADP
cana-949	16	22	stochastic	stochastic	ADJ
cana-949	16	23	solid	solid	ADJ
cana-949	16	24	transportation	transportation	NOUN
cana-949	16	25	problem	problem	NOUN
cana-949	16	26	.	.	PUNCT
cana-949	17	1	these	these	DET
cana-949	17	2	models	model	NOUN
cana-949	17	3	are	be	AUX
cana-949	17	4	demonstrating	demonstrate	VERB
cana-949	17	5	by	by	ADP
cana-949	17	6	using	use	VERB
cana-949	17	7	a	a	DET
cana-949	17	8	numerical	numerical	ADJ
cana-949	17	9	example	example	NOUN
cana-949	17	10	and	and	CCONJ
cana-949	17	11	a	a	DET
cana-949	17	12	sensitivity	sensitivity	NOUN
cana-949	17	13	analysis	analysis	NOUN
cana-949	17	14	is	be	AUX
cana-949	17	15	conducted	conduct	VERB
cana-949	17	16	to	to	PART
cana-949	17	17	understand	understand	VERB
cana-949	17	18	the	the	DET
cana-949	17	19	sensitivity	sensitivity	NOUN
cana-949	17	20	of	of	ADP
cana-949	17	21	the	the	DET
cana-949	17	22	parameters	parameter	NOUN
cana-949	17	23	in	in	ADP
cana-949	17	24	the	the	DET
cana-949	17	25	propose	propose	ADJ
cana-949	17	26	model	model	NOUN
cana-949	17	27	.	.	PUNCT
cana-949	18	1	results	result	NOUN
cana-949	18	2	:	:	PUNCT
cana-949	18	3	obtained	obtain	VERB
cana-949	18	4	optimal	optimal	ADJ
cana-949	18	5	solutions	solution	NOUN
cana-949	18	6	for	for	ADP
cana-949	18	7	developed	develop	VERB
cana-949	18	8	four	four	NUM
cana-949	18	9	models	model	NOUN
cana-949	18	10	of	of	ADP
cana-949	18	11	sfstpmc	sfstpmc	NOUN
cana-949	18	12	and	and	CCONJ
cana-949	18	13	sensitivity	sensitivity	NOUN
cana-949	18	14	analysis	analysis	NOUN
cana-949	18	15	shows	show	VERB
cana-949	18	16	that	that	SCONJ
cana-949	18	17	cost	cost	NOUN
cana-949	18	18	of	of	ADP
cana-949	18	19	transportation	transportation	NOUN
cana-949	18	20	and	and	CCONJ
cana-949	18	21	flow	flow	NOUN
cana-949	18	22	of	of	ADP
cana-949	18	23	unit	unit	NOUN
cana-949	18	24	are	be	AUX
cana-949	18	25	sensitive	sensitive	ADJ
cana-949	18	26	to	to	PART
cana-949	18	27	change	change	VERB
cana-949	18	28	in	in	ADP
cana-949	18	29	probabilities	probability	NOUN
cana-949	18	30	of	of	ADP
cana-949	18	31	demand	demand	NOUN
cana-949	18	32	.	.	PUNCT
cana-949	19	1	improve	improve	VERB
cana-949	19	2	transportation	transportation	NOUN
cana-949	19	3	system	system	NOUN
cana-949	19	4	by	by	ADP
cana-949	19	5	understanding	understand	VERB
cana-949	19	6	sensitivity	sensitivity	NOUN
cana-949	19	7	patterns	pattern	NOUN
cana-949	19	8	that	that	PRON
cana-949	19	9	help	help	VERB
cana-949	19	10	decision	decision	NOUN
cana-949	19	11	maker	maker	NOUN
cana-949	19	12	choose	choose	VERB
cana-949	19	13	appropriate	appropriate	ADJ
cana-949	19	14	supply	supply	NOUN
cana-949	19	15	availability	availability	NOUN
cana-949	19	16	probabilities	probability	NOUN
cana-949	19	17	.	.	PUNCT
cana-949	20	1	conclusions	conclusion	NOUN
cana-949	20	2	:	:	PUNCT
cana-949	20	3	this	this	DET
cana-949	20	4	study	study	NOUN
cana-949	20	5	presented	present	VERB
cana-949	20	6	an	an	DET
cana-949	20	7	approach	approach	NOUN
cana-949	20	8	for	for	ADP
cana-949	20	9	solving	solve	VERB
cana-949	20	10	the	the	DET
cana-949	20	11	sfstpmc	sfstpmc	NOUN
cana-949	20	12	using	use	VERB
cana-949	20	13	the	the	DET
cana-949	20	14	weibull	weibull	NOUN
cana-949	20	15	distribution	distribution	NOUN
cana-949	20	16	for	for	ADP
cana-949	20	17	probabilistic	probabilistic	ADJ
cana-949	20	18	constraints	constraint	NOUN
cana-949	20	19	and	and	CCONJ
cana-949	20	20	fuzzy	fuzzy	ADJ
cana-949	20	21	objective	objective	ADJ
cana-949	20	22	functions	function	NOUN
cana-949	20	23	for	for	ADP
cana-949	20	24	communications	communication	NOUN
cana-949	20	25	on	on	ADP
cana-949	20	26	applied	apply	VERB
cana-949	20	27	nonlinear	nonlinear	ADJ
cana-949	20	28	analysis	analysis	NOUN
cana-949	20	29	issn	issn	NOUN
cana-949	20	30	:	:	PUNCT
cana-949	20	31	1074	1074	NUM
cana-949	20	32	-	-	PUNCT
cana-949	20	33	133x	133x	NUM
cana-949	20	34	vol	vol	NOUN
cana-949	20	35	31	31	NUM
cana-949	20	36	no	no	NOUN
cana-949	20	37	.	.	PUNCT
cana-949	21	1	4s	4s	NUM
cana-949	21	2	(	(	PUNCT
cana-949	21	3	2024	2024	NUM
cana-949	21	4	)	)	PUNCT
cana-949	21	5	541	541	NUM
cana-949	21	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	21	7	transportation	transportation	NOUN
cana-949	21	8	cost	cost	NOUN
cana-949	21	9	.	.	PUNCT
cana-949	22	1	developed	develop	VERB
cana-949	22	2	and	and	CCONJ
cana-949	22	3	optimized	optimize	VERB
cana-949	22	4	four	four	NUM
cana-949	22	5	models	model	NOUN
cana-949	22	6	,	,	PUNCT
cana-949	22	7	focusing	focus	VERB
cana-949	22	8	on	on	ADP
cana-949	22	9	stochastic	stochastic	ADJ
cana-949	22	10	parameters	parameter	NOUN
cana-949	22	11	.	.	PUNCT
cana-949	23	1	sensitivity	sensitivity	NOUN
cana-949	23	2	analysis	analysis	NOUN
cana-949	23	3	demonstrated	demonstrate	VERB
cana-949	23	4	the	the	DET
cana-949	23	5	impact	impact	NOUN
cana-949	23	6	of	of	ADP
cana-949	23	7	these	these	DET
cana-949	23	8	parameters	parameter	NOUN
cana-949	23	9	on	on	ADP
cana-949	23	10	transportation	transportation	NOUN
cana-949	23	11	cost	cost	NOUN
cana-949	23	12	and	and	CCONJ
cana-949	23	13	unit	unit	NOUN
cana-949	23	14	flow	flow	NOUN
cana-949	23	15	.	.	PUNCT
cana-949	24	1	the	the	DET
cana-949	24	2	results	result	NOUN
cana-949	24	3	validate	validate	VERB
cana-949	24	4	the	the	DET
cana-949	24	5	model	model	NOUN
cana-949	24	6	’s	’s	PART
cana-949	24	7	effectiveness	effectiveness	NOUN
cana-949	24	8	in	in	ADP
cana-949	24	9	practical	practical	ADJ
cana-949	24	10	resource	resource	NOUN
cana-949	24	11	allocation	allocation	NOUN
cana-949	24	12	and	and	CCONJ
cana-949	24	13	decision	decision	NOUN
cana-949	24	14	making	make	VERB
cana-949	24	15	under	under	ADP
cana-949	24	16	uncertainty	uncertainty	NOUN
cana-949	24	17	.	.	PUNCT
cana-949	25	1	keywords	keyword	NOUN
cana-949	25	2	:	:	PUNCT
cana-949	25	3	sfstpmc	sfstpmc	NOUN
cana-949	25	4	(	(	PUNCT
cana-949	25	5	stochastic	stochastic	ADJ
cana-949	25	6	fuzzy	fuzzy	ADJ
cana-949	25	7	solid	solid	ADJ
cana-949	25	8	transportation	transportation	NOUN
cana-949	25	9	problem	problem	NOUN
cana-949	25	10	with	with	ADP
cana-949	25	11	mixed	mixed	ADJ
cana-949	25	12	constraints	constraint	NOUN
cana-949	25	13	)	)	PUNCT
cana-949	25	14	,	,	PUNCT
cana-949	25	15	weibull	weibull	NOUN
cana-949	25	16	distribution	distribution	NOUN
cana-949	25	17	,	,	PUNCT
cana-949	25	18	mixed	mixed	ADJ
cana-949	25	19	constraints	constraint	NOUN
cana-949	25	20	.	.	PUNCT
cana-949	26	1	1	1	X
cana-949	26	2	.	.	X
cana-949	26	3	introduction	introduction	NOUN
cana-949	26	4	in	in	ADP
cana-949	26	5	transportation	transportation	NOUN
cana-949	26	6	,	,	PUNCT
cana-949	26	7	goods	good	NOUN
cana-949	26	8	are	be	AUX
cana-949	26	9	carrying	carry	VERB
cana-949	26	10	from	from	ADP
cana-949	26	11	various	various	ADJ
cana-949	26	12	sources	source	NOUN
cana-949	26	13	to	to	ADP
cana-949	26	14	various	various	ADJ
cana-949	26	15	destinations	destination	NOUN
cana-949	26	16	by	by	ADP
cana-949	26	17	using	use	VERB
cana-949	26	18	types	type	NOUN
cana-949	26	19	of	of	ADP
cana-949	26	20	vehicles	vehicle	NOUN
cana-949	26	21	within	within	ADP
cana-949	26	22	various	various	ADJ
cana-949	26	23	organizational	organizational	ADJ
cana-949	26	24	systems	system	NOUN
cana-949	26	25	.	.	PUNCT
cana-949	27	1	it	it	PRON
cana-949	27	2	encompasses	encompass	VERB
cana-949	27	3	not	not	PART
cana-949	27	4	just	just	ADV
cana-949	27	5	various	various	ADJ
cana-949	27	6	technologies	technology	NOUN
cana-949	27	7	such	such	ADJ
cana-949	27	8	as	as	ADP
cana-949	27	9	vehicles	vehicle	NOUN
cana-949	27	10	,	,	PUNCT
cana-949	27	11	energy	energy	NOUN
cana-949	27	12	,	,	PUNCT
cana-949	27	13	and	and	CCONJ
cana-949	27	14	infrastructure	infrastructure	NOUN
cana-949	27	15	but	but	CCONJ
cana-949	27	16	also	also	ADV
cana-949	27	17	involves	involve	VERB
cana-949	27	18	the	the	DET
cana-949	27	19	time	time	NOUN
cana-949	27	20	and	and	CCONJ
cana-949	27	21	efforts	effort	NOUN
cana-949	27	22	of	of	ADP
cana-949	27	23	individuals	individual	NOUN
cana-949	27	24	.	.	PUNCT
cana-949	28	1	in	in	ADP
cana-949	28	2	essence	essence	NOUN
cana-949	28	3	,	,	PUNCT
cana-949	28	4	the	the	DET
cana-949	28	5	transportation	transportation	NOUN
cana-949	28	6	problem	problem	NOUN
cana-949	28	7	is	be	AUX
cana-949	28	8	a	a	DET
cana-949	28	9	specific	specific	ADJ
cana-949	28	10	category	category	NOUN
cana-949	28	11	within	within	ADP
cana-949	28	12	linear	linear	PROPN
cana-949	28	13	programming	programming	NOUN
cana-949	28	14	,	,	PUNCT
cana-949	28	15	linked	link	VERB
cana-949	28	16	to	to	ADP
cana-949	28	17	everyday	everyday	ADJ
cana-949	28	18	activities	activity	NOUN
cana-949	28	19	in	in	ADP
cana-949	28	20	our	our	PRON
cana-949	28	21	lives	life	NOUN
cana-949	28	22	,	,	PUNCT
cana-949	28	23	primarily	primarily	ADV
cana-949	28	24	focusing	focus	VERB
cana-949	28	25	on	on	ADP
cana-949	28	26	logistic	logistic	NOUN
cana-949	28	27	.	.	PUNCT
cana-949	29	1	issues	issue	NOUN
cana-949	29	2	arise	arise	VERB
cana-949	29	3	during	during	ADP
cana-949	29	4	distribution	distribution	NOUN
cana-949	29	5	or	or	CCONJ
cana-949	29	6	transportation	transportation	NOUN
cana-949	29	7	of	of	ADP
cana-949	29	8	goods	good	NOUN
cana-949	29	9	between	between	ADP
cana-949	29	10	different	different	ADJ
cana-949	29	11	locations	location	NOUN
cana-949	29	12	,	,	PUNCT
cana-949	29	13	this	this	DET
cana-949	29	14	help	help	NOUN
cana-949	29	15	in	in	ADP
cana-949	29	16	optimizing	optimize	VERB
cana-949	29	17	these	these	DET
cana-949	29	18	issues	issue	NOUN
cana-949	29	19	.	.	PUNCT
cana-949	30	1	to	to	PART
cana-949	30	2	fulfil	fulfil	VERB
cana-949	30	3	specific	specific	ADJ
cana-949	30	4	requirements	requirement	NOUN
cana-949	30	5	,	,	PUNCT
cana-949	30	6	items	item	NOUN
cana-949	30	7	are	be	AUX
cana-949	30	8	transported	transport	VERB
cana-949	30	9	from	from	ADP
cana-949	30	10	various	various	ADJ
cana-949	30	11	sources	source	NOUN
cana-949	30	12	to	to	ADP
cana-949	30	13	various	various	ADJ
cana-949	30	14	destinations	destination	NOUN
cana-949	30	15	.	.	PUNCT
cana-949	31	1	the	the	DET
cana-949	31	2	objective	objective	NOUN
cana-949	31	3	is	be	AUX
cana-949	31	4	to	to	PART
cana-949	31	5	fulfil	fulfil	VERB
cana-949	31	6	destination	destination	NOUN
cana-949	31	7	’s	’s	PART
cana-949	31	8	demand	demand	NOUN
cana-949	31	9	by	by	ADP
cana-949	31	10	minimizing	minimize	VERB
cana-949	31	11	cost	cost	NOUN
cana-949	31	12	of	of	ADP
cana-949	31	13	transportation	transportation	NOUN
cana-949	31	14	while	while	SCONJ
cana-949	31	15	adhering	adhere	VERB
cana-949	31	16	to	to	ADP
cana-949	31	17	the	the	DET
cana-949	31	18	limitations	limitation	NOUN
cana-949	31	19	of	of	ADP
cana-949	31	20	the	the	DET
cana-949	31	21	exits	exit	NOUN
cana-949	31	22	supply	supply	NOUN
cana-949	31	23	.	.	PUNCT
cana-949	32	1	[	[	X
cana-949	32	2	1	1	X
cana-949	32	3	]	]	PUNCT
cana-949	32	4	introduced	introduce	VERB
cana-949	32	5	the	the	DET
cana-949	32	6	transportation	transportation	NOUN
cana-949	32	7	problem	problem	NOUN
cana-949	32	8	.	.	PUNCT
cana-949	33	1	system	system	NOUN
cana-949	33	2	of	of	ADP
cana-949	33	3	transportation	transportation	NOUN
cana-949	33	4	includes	include	VERB
cana-949	33	5	mixed	mixed	ADJ
cana-949	33	6	transportation	transportation	NOUN
cana-949	33	7	modes	mode	NOUN
cana-949	33	8	for	for	ADP
cana-949	33	9	delivery	delivery	NOUN
cana-949	33	10	of	of	ADP
cana-949	33	11	items	item	NOUN
cana-949	33	12	,	,	PUNCT
cana-949	33	13	it	it	PRON
cana-949	33	14	might	might	AUX
cana-949	33	15	be	be	AUX
cana-949	33	16	possible	possible	ADJ
cana-949	33	17	to	to	PART
cana-949	33	18	minimize	minimize	VERB
cana-949	33	19	cost	cost	NOUN
cana-949	33	20	of	of	ADP
cana-949	33	21	transportation	transportation	NOUN
cana-949	33	22	through	through	ADP
cana-949	33	23	various	various	ADJ
cana-949	33	24	transportation	transportation	NOUN
cana-949	33	25	ways	way	NOUN
cana-949	33	26	.	.	PUNCT
cana-949	34	1	in	in	ADP
cana-949	34	2	such	such	ADJ
cana-949	34	3	type	type	NOUN
cana-949	34	4	of	of	ADP
cana-949	34	5	cases	case	NOUN
cana-949	34	6	solid	solid	ADJ
cana-949	34	7	transportation	transportation	NOUN
cana-949	34	8	is	be	AUX
cana-949	34	9	appropriate	appropriate	ADJ
cana-949	34	10	which	which	PRON
cana-949	34	11	includes	include	VERB
cana-949	34	12	supply	supply	NOUN
cana-949	34	13	,	,	PUNCT
cana-949	34	14	demand	demand	NOUN
cana-949	34	15	and	and	CCONJ
cana-949	34	16	conveyance	conveyance	NOUN
cana-949	34	17	capacity	capacity	NOUN
cana-949	34	18	.	.	PUNCT
cana-949	35	1	develop	develop	VERB
cana-949	35	2	a	a	DET
cana-949	35	3	solution	solution	NOUN
cana-949	35	4	methodology	methodology	NOUN
cana-949	35	5	to	to	PART
cana-949	35	6	solve	solve	VERB
cana-949	35	7	solid	solid	ADJ
cana-949	35	8	transportation	transportation	NOUN
cana-949	35	9	problem	problem	NOUN
cana-949	35	10	and	and	CCONJ
cana-949	35	11	comparison	comparison	NOUN
cana-949	35	12	between	between	ADP
cana-949	35	13	solid	solid	ADJ
cana-949	35	14	transportation	transportation	NOUN
cana-949	35	15	problem	problem	NOUN
cana-949	35	16	and	and	CCONJ
cana-949	35	17	classical	classical	ADJ
cana-949	35	18	transportation	transportation	NOUN
cana-949	35	19	problem	problem	NOUN
cana-949	35	20	done	do	VERB
cana-949	35	21	by	by	ADP
cana-949	35	22	[	[	X
cana-949	35	23	2	2	NUM
cana-949	35	24	]	]	PUNCT
cana-949	35	25	,	,	PUNCT
cana-949	35	26	[	[	X
cana-949	35	27	3	3	NUM
cana-949	35	28	]	]	PUNCT
cana-949	35	29	.	.	PUNCT
cana-949	36	1	h.	h.	PROPN
cana-949	36	2	isermann	isermann	PROPN
cana-949	36	3	proposed	propose	VERB
cana-949	36	4	an	an	DET
cana-949	36	5	approach	approach	NOUN
cana-949	36	6	to	to	PART
cana-949	36	7	solve	solve	VERB
cana-949	36	8	mixed	mixed	ADJ
cana-949	36	9	constraint	constraint	NOUN
cana-949	36	10	solid	solid	ADJ
cana-949	36	11	transportation	transportation	NOUN
cana-949	36	12	problem	problem	NOUN
cana-949	36	13	.	.	PUNCT
cana-949	37	1	[	[	X
cana-949	37	2	4	4	X
cana-949	37	3	]	]	PUNCT
cana-949	37	4	firstly	firstly	ADV
cana-949	37	5	stated	state	VERB
cana-949	37	6	fuzzy	fuzzy	ADJ
cana-949	37	7	set	set	NOUN
cana-949	37	8	theory	theory	NOUN
cana-949	37	9	.	.	PUNCT
cana-949	38	1	[	[	X
cana-949	38	2	5	5	NUM
cana-949	38	3	]	]	PUNCT
cana-949	38	4	suggested	suggest	VERB
cana-949	38	5	a	a	DET
cana-949	38	6	solution	solution	NOUN
cana-949	38	7	methodology	methodology	NOUN
cana-949	38	8	to	to	PART
cana-949	38	9	solve	solve	VERB
cana-949	38	10	solid	solid	ADJ
cana-949	38	11	transportation	transportation	NOUN
cana-949	38	12	problem	problem	NOUN
cana-949	38	13	including	include	VERB
cana-949	38	14	mixed	mixed	ADJ
cana-949	38	15	constrain	constrain	NOUN
cana-949	38	16	in	in	ADP
cana-949	38	17	different	different	ADJ
cana-949	38	18	environment	environment	NOUN
cana-949	38	19	.	.	PUNCT
cana-949	39	1	[	[	X
cana-949	39	2	6	6	NUM
cana-949	39	3	]	]	PUNCT
cana-949	39	4	formulated	formulate	VERB
cana-949	39	5	several	several	ADJ
cana-949	39	6	models	model	NOUN
cana-949	39	7	and	and	CCONJ
cana-949	39	8	solution	solution	NOUN
cana-949	39	9	methodologies	methodology	NOUN
cana-949	39	10	of	of	ADP
cana-949	39	11	fixed	fix	VERB
cana-949	39	12	charge	charge	NOUN
cana-949	39	13	fuzzy	fuzzy	ADJ
cana-949	39	14	stochastic	stochastic	ADJ
cana-949	39	15	solid	solid	ADJ
cana-949	39	16	transportation	transportation	NOUN
cana-949	39	17	problem	problem	NOUN
cana-949	39	18	.	.	PUNCT
cana-949	40	1	[	[	X
cana-949	40	2	7	7	X
cana-949	40	3	]	]	PUNCT
cana-949	40	4	proposed	propose	VERB
cana-949	40	5	solution	solution	NOUN
cana-949	40	6	procedure	procedure	NOUN
cana-949	40	7	of	of	ADP
cana-949	40	8	multi	multi	ADJ
cana-949	40	9	-	-	ADJ
cana-949	40	10	objective	objective	ADJ
cana-949	40	11	solid	solid	ADJ
cana-949	40	12	transportation	transportation	NOUN
cana-949	40	13	problem	problem	NOUN
cana-949	40	14	with	with	ADP
cana-949	40	15	multiple	multiple	ADJ
cana-949	40	16	items	item	NOUN
cana-949	40	17	.	.	PUNCT
cana-949	41	1	[	[	X
cana-949	41	2	8	8	NUM
cana-949	41	3	]	]	PUNCT
cana-949	41	4	developed	develop	VERB
cana-949	41	5	a	a	DET
cana-949	41	6	new	new	ADJ
cana-949	41	7	heuristic	heuristic	ADJ
cana-949	41	8	approach	approach	NOUN
cana-949	41	9	to	to	PART
cana-949	41	10	obtain	obtain	VERB
cana-949	41	11	general	general	ADJ
cana-949	41	12	initial	initial	ADJ
cana-949	41	13	results	result	NOUN
cana-949	41	14	to	to	PART
cana-949	41	15	optimize	optimize	VERB
cana-949	41	16	transportation	transportation	NOUN
cana-949	41	17	problem	problem	NOUN
cana-949	41	18	and	and	CCONJ
cana-949	41	19	to	to	PART
cana-949	41	20	demonstrate	demonstrate	VERB
cana-949	41	21	their	their	PRON
cana-949	41	22	method	method	NOUN
cana-949	41	23	they	they	PRON
cana-949	41	24	use	use	VERB
cana-949	41	25	35	35	NUM
cana-949	41	26	examples	example	NOUN
cana-949	41	27	.	.	PUNCT
cana-949	42	1	[	[	X
cana-949	42	2	9	9	NUM
cana-949	42	3	]	]	PUNCT
cana-949	42	4	they	they	PRON
cana-949	42	5	showed	show	VERB
cana-949	42	6	that	that	SCONJ
cana-949	42	7	expected	expect	VERB
cana-949	42	8	cost	cost	NOUN
cana-949	42	9	minimization	minimization	NOUN
cana-949	42	10	and	and	CCONJ
cana-949	42	11	chance	chance	NOUN
cana-949	42	12	constraint	constraint	VERB
cana-949	42	13	uncertain	uncertain	ADJ
cana-949	42	14	model	model	NOUN
cana-949	42	15	can	can	AUX
cana-949	42	16	be	be	AUX
cana-949	42	17	converted	convert	VERB
cana-949	42	18	into	into	ADP
cana-949	42	19	their	their	PRON
cana-949	42	20	deterministic	deterministic	ADJ
cana-949	42	21	form	form	NOUN
cana-949	42	22	through	through	ADP
cana-949	42	23	standard	standard	ADJ
cana-949	42	24	optimization	optimization	NOUN
cana-949	42	25	solver	solver	NOUN
cana-949	42	26	gurobi	gurobi	NOUN
cana-949	42	27	.	.	PUNCT
cana-949	43	1	[	[	X
cana-949	43	2	10	10	NUM
cana-949	43	3	]	]	PUNCT
cana-949	43	4	suggested	suggest	VERB
cana-949	43	5	new	new	ADJ
cana-949	43	6	approach	approach	NOUN
cana-949	43	7	to	to	PART
cana-949	43	8	optimize	optimize	VERB
cana-949	43	9	solid	solid	ADJ
cana-949	43	10	transportation	transportation	NOUN
cana-949	43	11	problem	problem	NOUN
cana-949	43	12	included	include	VERB
cana-949	43	13	multiple	multiple	ADJ
cana-949	43	14	choices	choice	NOUN
cana-949	43	15	cost	cost	NOUN
cana-949	43	16	,	,	PUNCT
cana-949	43	17	supply	supply	NOUN
cana-949	43	18	as	as	ADP
cana-949	43	19	stochastic	stochastic	NOUN
cana-949	43	20	and	and	CCONJ
cana-949	43	21	demand	demand	NOUN
cana-949	43	22	.	.	PUNCT
cana-949	44	1	[	[	X
cana-949	44	2	11	11	NUM
cana-949	44	3	]	]	PUNCT
cana-949	44	4	formulated	formulate	VERB
cana-949	44	5	solid	solid	ADJ
cana-949	44	6	transportation	transportation	NOUN
cana-949	44	7	problem	problem	NOUN
cana-949	44	8	with	with	ADP
cana-949	44	9	fixed	fix	VERB
cana-949	44	10	charge	charge	NOUN
cana-949	44	11	under	under	ADP
cana-949	44	12	budget	budget	NOUN
cana-949	44	13	constraint	constraint	NOUN
cana-949	44	14	by	by	ADP
cana-949	44	15	using	use	VERB
cana-949	44	16	genetic	genetic	ADJ
cana-949	44	17	algorithm	algorithm	NOUN
cana-949	44	18	and	and	CCONJ
cana-949	44	19	swarm	swarm	NOUN
cana-949	44	20	optimization	optimization	NOUN
cana-949	44	21	.	.	PUNCT
cana-949	45	1	[	[	X
cana-949	45	2	12	12	NUM
cana-949	45	3	]	]	PUNCT
cana-949	45	4	hybrid	hybrid	ADJ
cana-949	45	5	intelligent	intelligent	ADJ
cana-949	45	6	algorithm	algorithm	NOUN
cana-949	45	7	to	to	PART
cana-949	45	8	solve	solve	VERB
cana-949	45	9	the	the	DET
cana-949	45	10	constructed	constructed	ADJ
cana-949	45	11	three	three	NUM
cana-949	45	12	models	model	NOUN
cana-949	45	13	for	for	ADP
cana-949	45	14	solid	solid	ADJ
cana-949	45	15	transportation	transportation	NOUN
cana-949	45	16	problem	problem	NOUN
cana-949	45	17	with	with	ADP
cana-949	45	18	fixed	fix	VERB
cana-949	45	19	charge	charge	NOUN
cana-949	45	20	under	under	ADP
cana-949	45	21	uncertainty	uncertainty	NOUN
cana-949	45	22	.	.	PUNCT
cana-949	46	1	[	[	X
cana-949	46	2	13	13	NUM
cana-949	46	3	]	]	PUNCT
cana-949	46	4	proposed	propose	VERB
cana-949	46	5	different	different	ADJ
cana-949	46	6	process	process	NOUN
cana-949	46	7	to	to	PART
cana-949	46	8	obtain	obtain	VERB
cana-949	46	9	optimal	optimal	ADJ
cana-949	46	10	solution	solution	NOUN
cana-949	46	11	of	of	ADP
cana-949	46	12	transportation	transportation	NOUN
cana-949	46	13	problem	problem	NOUN
cana-949	46	14	with	with	ADP
cana-949	46	15	mixed	mixed	ADJ
cana-949	46	16	constraint	constraint	NOUN
cana-949	46	17	.	.	PUNCT
cana-949	47	1	[	[	X
cana-949	47	2	14	14	NUM
cana-949	47	3	]	]	PUNCT
cana-949	47	4	proposed	propose	VERB
cana-949	47	5	solution	solution	NOUN
cana-949	47	6	methodology	methodology	NOUN
cana-949	47	7	to	to	PART
cana-949	47	8	obtain	obtain	VERB
cana-949	47	9	minimum	minimum	ADJ
cana-949	47	10	cost	cost	NOUN
cana-949	47	11	of	of	ADP
cana-949	47	12	transportation	transportation	NOUN
cana-949	47	13	problem	problem	NOUN
cana-949	47	14	including	include	VERB
cana-949	47	15	special	special	ADJ
cana-949	47	16	cases	case	NOUN
cana-949	47	17	of	of	ADP
cana-949	47	18	fixed	fix	VERB
cana-949	47	19	transportation	transportation	NOUN
cana-949	47	20	problem	problem	NOUN
cana-949	47	21	along	along	ADP
cana-949	47	22	truck	truck	NOUN
cana-949	47	23	load	load	NOUN
cana-949	47	24	constraint	constraint	NOUN
cana-949	47	25	.	.	PUNCT
cana-949	48	1	[	[	X
cana-949	48	2	15	15	NUM
cana-949	48	3	]	]	PUNCT
cana-949	48	4	proposed	propose	VERB
cana-949	48	5	constraint	constraint	NOUN
cana-949	48	6	programming	programming	NOUN
cana-949	48	7	model	model	NOUN
cana-949	48	8	and	and	CCONJ
cana-949	48	9	four	four	NUM
cana-949	48	10	mixed	mixed	ADJ
cana-949	48	11	integer	integer	NOUN
cana-949	48	12	linear	linear	PROPN
cana-949	48	13	programming	programming	NOUN
cana-949	48	14	models	model	NOUN
cana-949	48	15	to	to	PART
cana-949	48	16	optimize	optimize	VERB
cana-949	48	17	shop	shop	NOUN
cana-949	48	18	scheduling	scheduling	NOUN
cana-949	48	19	problem	problem	NOUN
cana-949	48	20	with	with	ADP
cana-949	48	21	distributed	distribute	VERB
cana-949	48	22	flexible	flexible	ADJ
cana-949	48	23	job	job	NOUN
cana-949	48	24	.	.	PUNCT
cana-949	49	1	[	[	X
cana-949	49	2	16	16	NUM
cana-949	49	3	]	]	PUNCT
cana-949	49	4	suggested	suggest	VERB
cana-949	49	5	a	a	DET
cana-949	49	6	better	well	ADJ
cana-949	49	7	approach	approach	NOUN
cana-949	49	8	to	to	PART
cana-949	49	9	optimize	optimize	VERB
cana-949	49	10	fuzzy	fuzzy	ADJ
cana-949	49	11	transportation	transportation	NOUN
cana-949	49	12	problem	problem	NOUN
cana-949	49	13	with	with	ADP
cana-949	49	14	cost	cost	NOUN
cana-949	49	15	,	,	PUNCT
cana-949	49	16	demand	demand	NOUN
cana-949	49	17	and	and	CCONJ
cana-949	49	18	supply	supply	NOUN
cana-949	49	19	as	as	ADP
cana-949	49	20	fuzzy	fuzzy	ADJ
cana-949	49	21	parameters	parameter	NOUN
cana-949	49	22	.	.	PUNCT
cana-949	50	1	[	[	X
cana-949	50	2	17	17	NUM
cana-949	50	3	]	]	PUNCT
cana-949	50	4	developed	develop	VERB
cana-949	50	5	a	a	DET
cana-949	50	6	new	new	ADJ
cana-949	50	7	algorithm	algorithm	NOUN
cana-949	50	8	of	of	ADP
cana-949	50	9	fuzzy	fuzzy	ADJ
cana-949	50	10	transportation	transportation	NOUN
cana-949	50	11	communications	communication	NOUN
cana-949	50	12	on	on	ADP
cana-949	50	13	applied	apply	VERB
cana-949	50	14	nonlinear	nonlinear	ADJ
cana-949	50	15	analysis	analysis	NOUN
cana-949	50	16	issn	issn	NOUN
cana-949	50	17	:	:	PUNCT
cana-949	50	18	1074	1074	NUM
cana-949	50	19	-	-	PUNCT
cana-949	50	20	133x	133x	NUM
cana-949	50	21	vol	vol	NOUN
cana-949	50	22	31	31	NUM
cana-949	50	23	no	no	NOUN
cana-949	50	24	.	.	PUNCT
cana-949	51	1	4s	4s	NUM
cana-949	51	2	(	(	PUNCT
cana-949	51	3	2024	2024	NUM
cana-949	51	4	)	)	PUNCT
cana-949	51	5	542	542	NUM
cana-949	51	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	51	7	problem	problem	NOUN
cana-949	51	8	to	to	PART
cana-949	51	9	obtain	obtain	VERB
cana-949	51	10	optimal	optimal	ADJ
cana-949	51	11	solution	solution	NOUN
cana-949	51	12	.	.	PUNCT
cana-949	52	1	[	[	X
cana-949	52	2	18	18	NUM
cana-949	52	3	]	]	PUNCT
cana-949	52	4	suggested	suggest	VERB
cana-949	52	5	solution	solution	NOUN
cana-949	52	6	methodology	methodology	NOUN
cana-949	52	7	to	to	PART
cana-949	52	8	solve	solve	VERB
cana-949	52	9	multi	multi	ADJ
cana-949	52	10	-	-	ADJ
cana-949	52	11	objective	objective	ADJ
cana-949	52	12	stochastic	stochastic	ADJ
cana-949	52	13	solid	solid	ADJ
cana-949	52	14	transportation	transportation	NOUN
cana-949	52	15	and	and	CCONJ
cana-949	52	16	obtain	obtain	VERB
cana-949	52	17	minimum	minimum	ADJ
cana-949	52	18	cost	cost	NOUN
cana-949	52	19	and	and	CCONJ
cana-949	52	20	time	time	NOUN
cana-949	52	21	.	.	PUNCT
cana-949	53	1	[	[	X
cana-949	53	2	19	19	NUM
cana-949	53	3	]	]	PUNCT
cana-949	53	4	their	their	PRON
cana-949	53	5	study	study	NOUN
cana-949	53	6	aims	aim	VERB
cana-949	53	7	to	to	PART
cana-949	53	8	introduce	introduce	VERB
cana-949	53	9	a	a	DET
cana-949	53	10	robust	robust	ADJ
cana-949	53	11	mechanism	mechanism	NOUN
cana-949	53	12	for	for	ADP
cana-949	53	13	addressing	address	VERB
cana-949	53	14	transportation	transportation	NOUN
cana-949	53	15	challenges	challenge	NOUN
cana-949	53	16	of	of	ADP
cana-949	53	17	solid	solid	ADJ
cana-949	53	18	transportation	transportation	NOUN
cana-949	53	19	problem	problem	NOUN
cana-949	53	20	.	.	PUNCT
cana-949	54	1	[	[	X
cana-949	54	2	20	20	NUM
cana-949	54	3	]	]	PUNCT
cana-949	54	4	proposed	propose	VERB
cana-949	54	5	a	a	DET
cana-949	54	6	methodology	methodology	NOUN
cana-949	54	7	to	to	PART
cana-949	54	8	optimize	optimize	VERB
cana-949	54	9	intuitionistic	intuitionistic	ADJ
cana-949	54	10	transportation	transportation	NOUN
cana-949	54	11	problem	problem	NOUN
cana-949	54	12	through	through	ADP
cana-949	54	13	specially	specially	ADV
cana-949	54	14	multiply	multiply	ADV
cana-949	54	15	two	two	NUM
cana-949	54	16	fuzzy	fuzzy	ADJ
cana-949	54	17	intuitionistic	intuitionistic	ADJ
cana-949	54	18	transportation	transportation	NOUN
cana-949	54	19	issue	issue	NOUN
cana-949	54	20	.	.	PUNCT
cana-949	55	1	the	the	DET
cana-949	55	2	efficient	efficient	ADJ
cana-949	55	3	allocation	allocation	NOUN
cana-949	55	4	of	of	ADP
cana-949	55	5	resources	resource	NOUN
cana-949	55	6	in	in	ADP
cana-949	55	7	transportation	transportation	NOUN
cana-949	55	8	systems	system	NOUN
cana-949	55	9	is	be	AUX
cana-949	55	10	paramount	paramount	ADJ
cana-949	55	11	for	for	ADP
cana-949	55	12	smooth	smooth	ADJ
cana-949	55	13	functioning	functioning	NOUN
cana-949	55	14	of	of	ADP
cana-949	55	15	various	various	ADJ
cana-949	55	16	industries	industry	NOUN
cana-949	55	17	and	and	CCONJ
cana-949	55	18	economies	economy	NOUN
cana-949	55	19	.	.	PUNCT
cana-949	56	1	however	however	ADV
cana-949	56	2	,	,	PUNCT
cana-949	56	3	real	real	ADJ
cana-949	56	4	world	world	NOUN
cana-949	56	5	transportation	transportation	NOUN
cana-949	56	6	scenarios	scenario	NOUN
cana-949	56	7	often	often	ADV
cana-949	56	8	involve	involve	VERB
cana-949	56	9	uncertainty	uncertainty	NOUN
cana-949	56	10	and	and	CCONJ
cana-949	56	11	imprecision	imprecision	NOUN
cana-949	56	12	due	due	ADP
cana-949	56	13	to	to	ADP
cana-949	56	14	factors	factor	NOUN
cana-949	56	15	such	such	ADJ
cana-949	56	16	as	as	ADP
cana-949	56	17	fluctuating	fluctuate	VERB
cana-949	56	18	demand	demand	NOUN
cana-949	56	19	,	,	PUNCT
cana-949	56	20	unreliable	unreliable	ADJ
cana-949	56	21	supply	supply	NOUN
cana-949	56	22	chains	chain	NOUN
cana-949	56	23	,	,	PUNCT
cana-949	56	24	and	and	CCONJ
cana-949	56	25	unpredictable	unpredictable	ADJ
cana-949	56	26	traffic	traffic	NOUN
cana-949	56	27	conditions	condition	NOUN
cana-949	56	28	.	.	PUNCT
cana-949	57	1	addressing	address	VERB
cana-949	57	2	these	these	DET
cana-949	57	3	complexities	complexity	NOUN
cana-949	57	4	requires	require	VERB
cana-949	57	5	sophisticated	sophisticated	ADJ
cana-949	57	6	mathematical	mathematical	ADJ
cana-949	57	7	models	model	NOUN
cana-949	57	8	capable	capable	ADJ
cana-949	57	9	of	of	ADP
cana-949	57	10	handling	handle	VERB
cana-949	57	11	stochasticity	stochasticity	NOUN
cana-949	57	12	,	,	PUNCT
cana-949	57	13	fuzziness	fuzziness	NOUN
cana-949	57	14	,	,	PUNCT
cana-949	57	15	and	and	CCONJ
cana-949	57	16	mixed	mixed	ADJ
cana-949	57	17	constraints	constraint	NOUN
cana-949	57	18	.	.	PUNCT
cana-949	58	1	on	on	ADP
cana-949	58	2	the	the	DET
cana-949	58	3	basis	basis	NOUN
cana-949	58	4	of	of	ADP
cana-949	58	5	above	above	ADP
cana-949	58	6	information	information	NOUN
cana-949	58	7	,	,	PUNCT
cana-949	58	8	the	the	DET
cana-949	58	9	main	main	ADJ
cana-949	58	10	contribution	contribution	NOUN
cana-949	58	11	of	of	ADP
cana-949	58	12	this	this	DET
cana-949	58	13	paper	paper	NOUN
cana-949	58	14	is	be	AUX
cana-949	58	15	described	describe	VERB
cana-949	58	16	in	in	ADP
cana-949	58	17	section	section	NOUN
cana-949	58	18	wise	wise	ADJ
cana-949	58	19	.	.	PUNCT
cana-949	59	1	section-2	section-2	NUM
cana-949	59	2	presents	present	NOUN
cana-949	59	3	assumptions	assumption	NOUN
cana-949	59	4	and	and	CCONJ
cana-949	59	5	notations	notation	NOUN
cana-949	59	6	used	use	VERB
cana-949	59	7	in	in	ADP
cana-949	59	8	this	this	DET
cana-949	59	9	research	research	NOUN
cana-949	59	10	.	.	PUNCT
cana-949	60	1	section-3	section-3	PRON
cana-949	60	2	represents	represent	VERB
cana-949	60	3	preliminaries	preliminary	NOUN
cana-949	60	4	which	which	PRON
cana-949	60	5	are	be	AUX
cana-949	60	6	relevant	relevant	ADJ
cana-949	60	7	to	to	PART
cana-949	60	8	research	research	VERB
cana-949	60	9	.	.	PUNCT
cana-949	61	1	section-4	section-4	NUM
cana-949	61	2	formulate	formulate	VERB
cana-949	61	3	the	the	DET
cana-949	61	4	problem	problem	NOUN
cana-949	61	5	of	of	ADP
cana-949	61	6	sfstpmc	sfstpmc	NOUN
cana-949	61	7	and	and	CCONJ
cana-949	61	8	transform	transform	VERB
cana-949	61	9	the	the	DET
cana-949	61	10	uncertain	uncertain	ADJ
cana-949	61	11	mathematical	mathematical	ADJ
cana-949	61	12	models	model	NOUN
cana-949	61	13	into	into	ADP
cana-949	61	14	equivalent	equivalent	ADJ
cana-949	61	15	deterministic	deterministic	ADJ
cana-949	61	16	models	model	NOUN
cana-949	61	17	.	.	PUNCT
cana-949	62	1	section-5	section-5	ADP
cana-949	62	2	described	describe	VERB
cana-949	62	3	by	by	ADP
cana-949	62	4	the	the	DET
cana-949	62	5	sfstpmc	sfstpmc	NOUN
cana-949	62	6	models	model	NOUN
cana-949	62	7	.	.	PUNCT
cana-949	63	1	section-6	section-6	PRON
cana-949	63	2	develop	develop	VERB
cana-949	63	3	an	an	DET
cana-949	63	4	algorithm	algorithm	NOUN
cana-949	63	5	for	for	ADP
cana-949	63	6	optimization	optimization	NOUN
cana-949	63	7	of	of	ADP
cana-949	63	8	generated	generate	VERB
cana-949	63	9	models	model	NOUN
cana-949	63	10	and	and	CCONJ
cana-949	63	11	also	also	ADV
cana-949	63	12	illustrate	illustrate	VERB
cana-949	63	13	a	a	DET
cana-949	63	14	numerical	numerical	ADJ
cana-949	63	15	example	example	NOUN
cana-949	63	16	to	to	PART
cana-949	63	17	demonstrate	demonstrate	VERB
cana-949	63	18	the	the	DET
cana-949	63	19	effectiveness	effectiveness	NOUN
cana-949	63	20	of	of	ADP
cana-949	63	21	develop	develop	VERB
cana-949	63	22	algorithm	algorithm	NOUN
cana-949	63	23	.	.	PUNCT
cana-949	64	1	section-7	section-7	NUM
cana-949	64	2	evaluates	evaluate	VERB
cana-949	64	3	the	the	DET
cana-949	64	4	computational	computational	ADJ
cana-949	64	5	results	result	NOUN
cana-949	64	6	of	of	ADP
cana-949	64	7	sensitivity	sensitivity	NOUN
cana-949	64	8	analysis	analysis	NOUN
cana-949	64	9	.	.	PUNCT
cana-949	65	1	section-8	section-8	NUM
cana-949	65	2	summarize	summarize	VERB
cana-949	65	3	the	the	DET
cana-949	65	4	research	research	NOUN
cana-949	65	5	findings	finding	NOUN
cana-949	65	6	and	and	CCONJ
cana-949	65	7	in	in	ADP
cana-949	65	8	last	last	ADJ
cana-949	65	9	section-9	section-9	NUM
cana-949	65	10	shows	show	VERB
cana-949	65	11	the	the	DET
cana-949	65	12	limitations	limitation	NOUN
cana-949	65	13	and	and	CCONJ
cana-949	65	14	future	future	ADJ
cana-949	65	15	scope	scope	NOUN
cana-949	65	16	of	of	ADP
cana-949	65	17	the	the	DET
cana-949	65	18	research	research	NOUN
cana-949	65	19	.	.	PUNCT
cana-949	66	1	2	2	X
cana-949	66	2	.	.	NUM
cana-949	66	3	assumptions	assumption	NOUN
cana-949	66	4	and	and	CCONJ
cana-949	66	5	notations	notation	NOUN
cana-949	66	6	sfstpmc	sfstpmc	NOUN
cana-949	66	7	(	(	PUNCT
cana-949	66	8	stochastic	stochastic	ADJ
cana-949	66	9	fuzzy	fuzzy	ADJ
cana-949	66	10	solid	solid	ADJ
cana-949	66	11	transportation	transportation	NOUN
cana-949	66	12	problem	problem	NOUN
cana-949	66	13	with	with	ADP
cana-949	66	14	mixed	mixed	ADJ
cana-949	66	15	constraints	constraint	NOUN
cana-949	66	16	)	)	PUNCT
cana-949	66	17	is	be	AUX
cana-949	66	18	associated	associate	VERB
cana-949	66	19	with	with	ADP
cana-949	66	20	cost	cost	NOUN
cana-949	66	21	,	,	PUNCT
cana-949	66	22	supply	supply	NOUN
cana-949	66	23	,	,	PUNCT
cana-949	66	24	demand	demand	NOUN
cana-949	66	25	and	and	CCONJ
cana-949	66	26	conveyance	conveyance	NOUN
cana-949	66	27	capacity	capacity	NOUN
cana-949	66	28	.	.	PUNCT
cana-949	67	1	here	here	ADV
cana-949	67	2	source	source	NOUN
cana-949	67	3	and	and	CCONJ
cana-949	67	4	destination	destination	NOUN
cana-949	67	5	are	be	AUX
cana-949	67	6	considered	consider	VERB
cana-949	67	7	as	as	ADP
cana-949	67	8	mixed	mixed	ADJ
cana-949	67	9	constraints	constraint	NOUN
cana-949	67	10	.	.	PUNCT
cana-949	68	1	to	to	PART
cana-949	68	2	establish	establish	VERB
cana-949	68	3	mathematical	mathematical	ADJ
cana-949	68	4	models	model	NOUN
cana-949	68	5	for	for	ADP
cana-949	68	6	sfstpmc	sfstpmc	NOUN
cana-949	68	7	,	,	PUNCT
cana-949	68	8	subsequent	subsequent	ADJ
cana-949	68	9	symbols	symbol	NOUN
cana-949	68	10	are	be	AUX
cana-949	68	11	presented	present	VERB
cana-949	68	12	as	as	ADP
cana-949	68	13	below	below	ADV
cana-949	68	14	:	:	PUNCT
cana-949	68	15	m	m	NOUN
cana-949	68	16	:	:	PUNCT
cana-949	68	17	number	number	NOUN
cana-949	68	18	of	of	ADP
cana-949	68	19	sources	source	NOUN
cana-949	68	20	for	for	ADP
cana-949	68	21	supply	supply	NOUN
cana-949	68	22	.	.	PUNCT
cana-949	69	1	n	n	CCONJ
cana-949	69	2	:	:	PUNCT
cana-949	69	3	number	number	NOUN
cana-949	69	4	of	of	ADP
cana-949	69	5	destinations	destination	NOUN
cana-949	69	6	for	for	ADP
cana-949	69	7	demands	demand	NOUN
cana-949	69	8	.	.	PUNCT
cana-949	70	1	l	l	NOUN
cana-949	70	2	:	:	PUNCT
cana-949	70	3	number	number	NOUN
cana-949	70	4	of	of	ADP
cana-949	70	5	various	various	ADJ
cana-949	70	6	different	different	ADJ
cana-949	70	7	conveyance	conveyance	NOUN
cana-949	70	8	.	.	PUNCT
cana-949	71	1	𝑎𝑖	𝑎𝑖	ADP
cana-949	71	2	:	:	PUNCT
cana-949	71	3	quantity	quantity	NOUN
cana-949	71	4	of	of	ADP
cana-949	71	5	homogeneous	homogeneous	ADJ
cana-949	71	6	items	item	NOUN
cana-949	71	7	available	available	ADJ
cana-949	71	8	at	at	ADP
cana-949	71	9	source	source	NOUN
cana-949	71	10	i.	i.	PROPN
cana-949	71	11	𝑏𝑗	𝑏𝑗	PROPN
cana-949	71	12	:	:	PUNCT
cana-949	71	13	quantity	quantity	NOUN
cana-949	71	14	of	of	ADP
cana-949	71	15	homogeneous	homogeneous	ADJ
cana-949	71	16	items	item	NOUN
cana-949	71	17	demands	demand	NOUN
cana-949	71	18	at	at	ADP
cana-949	71	19	destination	destination	NOUN
cana-949	71	20	j.	j.	PROPN
cana-949	71	21	𝑒𝑘	𝑒𝑘	PROPN
cana-949	71	22	:	:	PUNCT
cana-949	71	23	quantity	quantity	NOUN
cana-949	71	24	of	of	ADP
cana-949	71	25	conveyance	conveyance	NOUN
cana-949	71	26	capacity	capacity	NOUN
cana-949	71	27	for	for	ADP
cana-949	71	28	the	the	DET
cana-949	71	29	kth	kth	PROPN
cana-949	71	30	modes	mode	NOUN
cana-949	71	31	of	of	ADP
cana-949	71	32	transport	transport	NOUN
cana-949	71	33	.	.	PUNCT
cana-949	72	1	�	�	PROPN
cana-949	72	2	̃	̃	PROPN
cana-949	72	3	�	�	NOUN
cana-949	72	4	𝑖𝑗𝑘	𝑖𝑗𝑘	NUM
cana-949	72	5	:	:	PUNCT
cana-949	72	6	per	per	ADP
cana-949	72	7	unit	unit	NOUN
cana-949	72	8	cost	cost	NOUN
cana-949	72	9	of	of	ADP
cana-949	72	10	transportation	transportation	NOUN
cana-949	72	11	of	of	ADP
cana-949	72	12	items	item	NOUN
cana-949	72	13	from	from	ADP
cana-949	72	14	source	source	NOUN
cana-949	72	15	i	i	PRON
cana-949	72	16	to	to	ADP
cana-949	72	17	destination	destination	NOUN
cana-949	72	18	j	j	PROPN
cana-949	72	19	through	through	ADP
cana-949	72	20	kth	kth	PROPN
cana-949	72	21	modes	mode	NOUN
cana-949	72	22	of	of	ADP
cana-949	72	23	transportation	transportation	NOUN
cana-949	72	24	.	.	PUNCT
cana-949	73	1	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	73	2	:	:	PUNCT
cana-949	73	3	quantity	quantity	NOUN
cana-949	73	4	of	of	ADP
cana-949	73	5	items	item	NOUN
cana-949	73	6	shipping	ship	VERB
cana-949	73	7	from	from	ADP
cana-949	73	8	source	source	NOUN
cana-949	73	9	i	i	PRON
cana-949	73	10	to	to	ADP
cana-949	73	11	destination	destination	NOUN
cana-949	73	12	j	j	PROPN
cana-949	73	13	through	through	ADP
cana-949	73	14	kth	kth	PROPN
cana-949	73	15	modes	mode	NOUN
cana-949	73	16	of	of	ADP
cana-949	73	17	transportation	transportation	NOUN
cana-949	73	18	.	.	PUNCT
cana-949	74	1	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	74	2	:	:	PUNCT
cana-949	74	3	possibilities	possibility	NOUN
cana-949	74	4	associated	associate	VERB
cana-949	74	5	with	with	ADP
cana-949	74	6	𝑎𝑖.	𝑎𝑖.	NOUN
cana-949	74	7	𝑃𝑏𝑖	𝑃𝑏𝑖	PROPN
cana-949	74	8	:	:	PUNCT
cana-949	74	9	possibilities	possibility	NOUN
cana-949	74	10	associated	associate	VERB
cana-949	74	11	with	with	ADP
cana-949	74	12	𝑏𝑗.	𝑏𝑗.	ADP
cana-949	74	13	𝑃𝑒𝑘	𝑃𝑒𝑘	NOUN
cana-949	74	14	:	:	PUNCT
cana-949	74	15	possibilities	possibility	NOUN
cana-949	74	16	associated	associate	VERB
cana-949	74	17	with	with	ADP
cana-949	74	18	𝑒𝑘.	𝑒𝑘.	PROPN
cana-949	74	19	communications	communication	NOUN
cana-949	74	20	on	on	ADP
cana-949	74	21	applied	apply	VERB
cana-949	74	22	nonlinear	nonlinear	ADJ
cana-949	74	23	analysis	analysis	NOUN
cana-949	74	24	issn	issn	NOUN
cana-949	74	25	:	:	PUNCT
cana-949	74	26	1074	1074	NUM
cana-949	74	27	-	-	PUNCT
cana-949	74	28	133x	133x	NUM
cana-949	74	29	vol	vol	NOUN
cana-949	74	30	31	31	NUM
cana-949	74	31	no	no	NOUN
cana-949	74	32	.	.	PUNCT
cana-949	75	1	4s	4s	NUM
cana-949	75	2	(	(	PUNCT
cana-949	75	3	2024	2024	NUM
cana-949	75	4	)	)	PUNCT
cana-949	75	5	543	543	NUM
cana-949	75	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	75	7	𝛾𝑎𝑖	𝛾𝑎𝑖	NOUN
cana-949	75	8	:	:	PUNCT
cana-949	75	9	for	for	ADP
cana-949	75	10	𝑎𝑖	𝑎𝑖	DET
cana-949	75	11	parameter	parameter	NOUN
cana-949	75	12	of	of	ADP
cana-949	75	13	shape	shape	NOUN
cana-949	75	14	which	which	PRON
cana-949	75	15	following	follow	VERB
cana-949	75	16	wd	wd	PROPN
cana-949	75	17	.	.	PUNCT
cana-949	75	18	𝛾𝑏𝑗	𝛾𝑏𝑗	PROPN
cana-949	75	19	:	:	PUNCT
cana-949	75	20	for	for	ADP
cana-949	75	21	𝑏𝑗	𝑏𝑗	PROPN
cana-949	75	22	parameter	parameter	NOUN
cana-949	75	23	of	of	ADP
cana-949	75	24	shape	shape	NOUN
cana-949	76	1	which	which	DET
cana-949	76	2	following	follow	VERB
cana-949	76	3	wd	wd	PROPN
cana-949	76	4	.	.	PUNCT
cana-949	76	5	𝛾𝑒𝑘	𝛾𝑒𝑘	PROPN
cana-949	76	6	:	:	PUNCT
cana-949	76	7	for	for	ADP
cana-949	76	8	𝑒𝑘	𝑒𝑘	PRON
cana-949	76	9	parameter	parameter	NOUN
cana-949	76	10	of	of	ADP
cana-949	76	11	shape	shape	NOUN
cana-949	76	12	which	which	PRON
cana-949	76	13	following	follow	VERB
cana-949	76	14	wd	wd	PROPN
cana-949	76	15	.	.	PUNCT
cana-949	76	16	𝛼𝑎𝑖	𝛼𝑎𝑖	NOUN
cana-949	76	17	:	:	PUNCT
cana-949	76	18	for	for	ADP
cana-949	76	19	𝑎𝑖	𝑎𝑖	DET
cana-949	76	20	parameter	parameter	NOUN
cana-949	76	21	of	of	ADP
cana-949	76	22	scale	scale	NOUN
cana-949	76	23	which	which	PRON
cana-949	76	24	following	follow	VERB
cana-949	76	25	wd	wd	PROPN
cana-949	76	26	.	.	PROPN
cana-949	76	27	𝛼𝑏𝑗	𝛼𝑏𝑗	PROPN
cana-949	76	28	:	:	PUNCT
cana-949	76	29	for	for	ADP
cana-949	76	30	𝑏𝑗	𝑏𝑗	PROPN
cana-949	76	31	parameter	parameter	NOUN
cana-949	76	32	of	of	ADP
cana-949	76	33	scale	scale	NOUN
cana-949	76	34	which	which	PRON
cana-949	76	35	following	follow	VERB
cana-949	76	36	wd	wd	PROPN
cana-949	76	37	.	.	PUNCT
cana-949	77	1	𝛼𝑒𝑘	𝛼𝑒𝑘	NOUN
cana-949	77	2	:	:	PUNCT
cana-949	77	3	for	for	ADP
cana-949	77	4	𝑒𝑘	𝑒𝑘	PRON
cana-949	77	5	parameter	parameter	NOUN
cana-949	77	6	of	of	ADP
cana-949	77	7	scale	scale	NOUN
cana-949	77	8	which	which	PRON
cana-949	77	9	following	follow	VERB
cana-949	77	10	wd	wd	PROPN
cana-949	77	11	.	.	PROPN
cana-949	77	12	𝛽𝑎𝑖	𝛽𝑎𝑖	PROPN
cana-949	77	13	:	:	PUNCT
cana-949	77	14	for	for	ADP
cana-949	77	15	𝑎𝑖	𝑎𝑖	ADP
cana-949	77	16	parameters	parameter	NOUN
cana-949	77	17	of	of	ADP
cana-949	77	18	location	location	NOUN
cana-949	77	19	which	which	PRON
cana-949	77	20	following	follow	VERB
cana-949	77	21	wd	wd	PROPN
cana-949	77	22	.	.	PROPN
cana-949	77	23	𝛽𝑏𝑗	𝛽𝑏𝑗	PROPN
cana-949	77	24	:	:	PUNCT
cana-949	77	25	for	for	ADP
cana-949	77	26	𝑏𝑗	𝑏𝑗	PROPN
cana-949	77	27	parameters	parameter	NOUN
cana-949	77	28	of	of	ADP
cana-949	77	29	location	location	NOUN
cana-949	77	30	which	which	PRON
cana-949	77	31	following	follow	VERB
cana-949	77	32	wd	wd	PROPN
cana-949	77	33	.	.	PUNCT
cana-949	77	34	𝛽𝑒𝑘	𝛽𝑒𝑘	PROPN
cana-949	77	35	:	:	PUNCT
cana-949	77	36	for	for	ADP
cana-949	77	37	𝑒𝑘	𝑒𝑘	PROPN
cana-949	77	38	parameters	parameter	NOUN
cana-949	77	39	of	of	ADP
cana-949	77	40	location	location	NOUN
cana-949	77	41	which	which	PRON
cana-949	77	42	following	follow	VERB
cana-949	77	43	wd	wd	PROPN
cana-949	77	44	.	.	PROPN
cana-949	77	45	3	3	NUM
cana-949	77	46	.	.	X
cana-949	77	47	preliminaries	preliminary	NOUN
cana-949	77	48	in	in	ADP
cana-949	77	49	1965	1965	NUM
cana-949	77	50	zadeh	zadeh	NOUN
cana-949	77	51	gives	give	VERB
cana-949	77	52	improved	improve	VERB
cana-949	77	53	fuzzy	fuzzy	ADJ
cana-949	77	54	theory	theory	NOUN
cana-949	77	55	.	.	PUNCT
cana-949	78	1	mathematical	mathematical	ADJ
cana-949	78	2	techniques	technique	NOUN
cana-949	78	3	were	be	AUX
cana-949	78	4	proposed	propose	VERB
cana-949	78	5	from	from	ADP
cana-949	78	6	fuzzy	fuzzy	ADJ
cana-949	78	7	theory	theory	NOUN
cana-949	78	8	with	with	ADP
cana-949	78	9	fuzzy	fuzzy	ADJ
cana-949	78	10	concepts	concept	NOUN
cana-949	78	11	and	and	CCONJ
cana-949	78	12	problems	problem	NOUN
cana-949	78	13	containing	contain	VERB
cana-949	78	14	many	many	ADJ
cana-949	78	15	possible	possible	ADJ
cana-949	78	16	optimal	optimal	ADJ
cana-949	78	17	solutions	solution	NOUN
cana-949	78	18	.	.	PUNCT
cana-949	79	1	•	•	INTJ
cana-949	79	2	let	let	VERB
cana-949	79	3	us	we	PRON
cana-949	79	4	consider	consider	VERB
cana-949	79	5	s	s	PRON
cana-949	79	6	be	be	AUX
cana-949	79	7	a	a	DET
cana-949	79	8	collection	collection	NOUN
cana-949	79	9	of	of	ADP
cana-949	79	10	sets	set	NOUN
cana-949	79	11	,	,	PUNCT
cana-949	79	12	µ𝑆(𝑥	µ𝑆(𝑥	X
cana-949	79	13	)	)	PUNCT
cana-949	79	14	is	be	AUX
cana-949	79	15	a	a	DET
cana-949	79	16	function	function	NOUN
cana-949	79	17	from	from	ADP
cana-949	79	18	r	r	NOUN
cana-949	79	19	to	to	ADP
cana-949	79	20	[	[	X
cana-949	79	21	1,0	1,0	NUM
cana-949	79	22	]	]	PUNCT
cana-949	79	23	.	.	PUNCT
cana-949	80	1	a	a	DET
cana-949	80	2	fuzzy	fuzzy	ADJ
cana-949	80	3	set	set	VERB
cana-949	80	4	�	�	PROPN
cana-949	80	5	̃	̃	PROPN
cana-949	80	6	�	�	PROPN
cana-949	80	7	along	along	ADP
cana-949	80	8	with	with	ADP
cana-949	80	9	membership	membership	NOUN
cana-949	80	10	function	function	NOUN
cana-949	80	11	µ𝑆(𝑥	µ𝑆(𝑥	NOUN
cana-949	80	12	)	)	PUNCT
cana-949	80	13	is	be	AUX
cana-949	80	14	defined	define	VERB
cana-949	80	15	by	by	ADP
cana-949	80	16	�	�	PROPN
cana-949	80	17	̃	̃	PROPN
cana-949	80	18	�	�	NOUN
cana-949	80	19	=	=	SYM
cana-949	80	20	{	{	PUNCT
cana-949	80	21	(	(	PUNCT
cana-949	80	22	𝑥	𝑥	NOUN
cana-949	80	23	,	,	PUNCT
cana-949	80	24	µ𝑆(𝑥	µ𝑆(𝑥	PROPN
cana-949	80	25	)	)	PUNCT
cana-949	80	26	;	;	PUNCT
cana-949	80	27	𝑥	𝑥	DET
cana-949	80	28	∈	∈	PROPN
cana-949	80	29	𝐴	𝐴	PROPN
cana-949	80	30	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-949	80	31	µ𝑆(𝑥	µ𝑆(𝑥	PROPN
cana-949	80	32	)	)	PUNCT
cana-949	80	33	∈	∈	PROPN
cana-949	81	1	[	[	X
cana-949	81	2	0,1	0,1	NUM
cana-949	81	3	]	]	PUNCT
cana-949	81	4	}	}	PUNCT
cana-949	81	5	.	.	PUNCT
cana-949	82	1	•	•	NUM
cana-949	82	2	triangular	triangular	NOUN
cana-949	82	3	fuzzy	fuzzy	ADJ
cana-949	82	4	number	number	NOUN
cana-949	82	5	(	(	PUNCT
cana-949	82	6	tfn	tfn	NOUN
cana-949	82	7	)	)	PUNCT
cana-949	82	8	is	be	AUX
cana-949	82	9	the	the	DET
cana-949	82	10	type	type	NOUN
cana-949	82	11	of	of	ADP
cana-949	82	12	fuzzy	fuzzy	ADJ
cana-949	82	13	number	number	NOUN
cana-949	82	14	,	,	PUNCT
cana-949	82	15	a	a	DET
cana-949	82	16	continuous	continuous	ADJ
cana-949	82	17	mapping	mapping	NOUN
cana-949	82	18	:	:	PUNCT
cana-949	82	19	µ	µ	NUM
cana-949	82	20	�	�	PROPN
cana-949	82	21	̃	̃	PROPN
cana-949	82	22	�	�	PROPN
cana-949	82	23	(𝑥	(𝑥	VERB
cana-949	82	24	):	):	PUNCT
cana-949	82	25	𝑅	𝑅	PROPN
cana-949	82	26	→	→	SYM
cana-949	82	27	[	[	X
cana-949	82	28	0,1	0,1	NUM
cana-949	82	29	]	]	PUNCT
cana-949	82	30	.	.	PUNCT
cana-949	83	1	its	its	PRON
cana-949	83	2	membership	membership	NOUN
cana-949	83	3	function	function	VERB
cana-949	83	4	µ	µ	PRON
cana-949	83	5	�	�	PROPN
cana-949	83	6	̃	̃	PROPN
cana-949	83	7	�	�	NOUN
cana-949	83	8	(𝑥	(𝑥	NOUN
cana-949	83	9	)	)	PUNCT
cana-949	83	10	in	in	ADP
cana-949	83	11	figure	figure	NOUN
cana-949	83	12	1	1	NUM
cana-949	83	13	as	as	ADP
cana-949	83	14	µ	µ	DET
cana-949	83	15	�	�	PROPN
cana-949	83	16	̃	̃	PROPN
cana-949	83	17	�	�	NOUN
cana-949	83	18	(𝑥	(𝑥	NOUN
cana-949	83	19	)	)	PUNCT
cana-949	83	20	=	=	NOUN
cana-949	83	21	{	{	PUNCT
cana-949	83	22	0	0	NUM
cana-949	83	23	,	,	PUNCT
cana-949	83	24	𝑓𝑜𝑟	𝑓𝑜𝑟	ADV
cana-949	83	25	−∞	−∞	ADP
cana-949	83	26	<	<	X
cana-949	83	27	𝑥	𝑥	X
cana-949	83	28	<	<	X
cana-949	83	29	𝑞1	𝑞1	PROPN
cana-949	83	30	,	,	PUNCT
cana-949	83	31	𝑥−𝑞1	𝑥−𝑞1	ADV
cana-949	83	32	𝑞2−𝑞1	𝑞2−𝑞1	NUM
cana-949	83	33	,	,	PUNCT
cana-949	83	34	𝑓𝑜𝑟	𝑓𝑜𝑟	X
cana-949	83	35	𝑞1	𝑞1	PROPN
cana-949	83	36	≤	≤	NUM
cana-949	83	37	𝑥	𝑥	DET
cana-949	83	38	≤	≤	NUM
cana-949	83	39	𝑞2	𝑞2	NOUN
cana-949	83	40	,	,	PUNCT
cana-949	83	41	𝑞3−𝑥	𝑞3−𝑥	PROPN
cana-949	83	42	𝑞3−𝑞2	𝑞3−𝑞2	NOUN
cana-949	83	43	,	,	PUNCT
cana-949	83	44	𝑓𝑜𝑟	𝑓𝑜𝑟	ADV
cana-949	83	45	𝑞2	𝑞2	VERB
cana-949	83	46	≤	≤	NUM
cana-949	83	47	𝑥	𝑥	DET
cana-949	83	48	≤	≤	PROPN
cana-949	83	49	𝑞3	𝑞3	PROPN
cana-949	83	50	,	,	PUNCT
cana-949	83	51	0	0	NUM
cana-949	83	52	,	,	PUNCT
cana-949	83	53	𝑓𝑜𝑟	𝑓𝑜𝑟	ADV
cana-949	83	54	𝑞3	𝑞3	VERB
cana-949	83	55	≤	≤	NUM
cana-949	84	1	𝑥	𝑥	DET
cana-949	84	2	≤	≤	ADJ
cana-949	84	3	∞.	∞.	PROPN
cana-949	84	4	(	(	PUNCT
cana-949	84	5	1	1	NUM
cana-949	84	6	)	)	PUNCT
cana-949	84	7	µ𝑠(𝑥	µ𝑠(𝑥	NUM
cana-949	84	8	)	)	PUNCT
cana-949	84	9	1	1	NUM
cana-949	84	10	0	0	NUM
cana-949	84	11	𝑞1	𝑞1	ADJ
cana-949	84	12	𝑞2	𝑞2	NOUN
cana-949	84	13	𝑞3	𝑞3	NOUN
cana-949	84	14	x	x	PART
cana-949	84	15	figure	figure	VERB
cana-949	84	16	1	1	NUM
cana-949	84	17	.	.	X
cana-949	84	18	triangular	triangular	NOUN
cana-949	84	19	fuzzy	fuzzy	ADJ
cana-949	84	20	number	number	NOUN
cana-949	84	21	(	(	PUNCT
cana-949	84	22	tfn	tfn	NOUN
cana-949	84	23	)	)	PUNCT
cana-949	84	24	•	•	ADV
cana-949	84	25	here	here	ADV
cana-949	84	26	�	�	PROPN
cana-949	84	27	̃	̃	PROPN
cana-949	84	28	�	�	PROPN
cana-949	84	29	is	be	AUX
cana-949	84	30	a	a	DET
cana-949	84	31	fuzzy	fuzzy	ADJ
cana-949	84	32	number	number	NOUN
cana-949	84	33	which	which	PRON
cana-949	84	34	is	be	AUX
cana-949	84	35	subset	subset	VERB
cana-949	84	36	of	of	ADP
cana-949	84	37	the	the	DET
cana-949	84	38	r	r	NOUN
cana-949	84	39	real	real	ADJ
cana-949	84	40	number	number	NOUN
cana-949	84	41	with	with	ADP
cana-949	84	42	membership	membership	NOUN
cana-949	84	43	function	function	VERB
cana-949	84	44	µ	µ	PRON
cana-949	84	45	�	�	PROPN
cana-949	84	46	̃	̃	PROPN
cana-949	84	47	�	�	PROPN
cana-949	84	48	fulfil	fulfil	VERB
cana-949	84	49	the	the	DET
cana-949	84	50	following	follow	VERB
cana-949	84	51	conditions	condition	NOUN
cana-949	84	52	:	:	PUNCT
cana-949	84	53	communications	communication	NOUN
cana-949	84	54	on	on	ADP
cana-949	84	55	applied	apply	VERB
cana-949	84	56	nonlinear	nonlinear	ADJ
cana-949	84	57	analysis	analysis	NOUN
cana-949	84	58	issn	issn	NOUN
cana-949	84	59	:	:	PUNCT
cana-949	84	60	1074	1074	NUM
cana-949	84	61	-	-	PUNCT
cana-949	84	62	133x	133x	NUM
cana-949	84	63	vol	vol	NOUN
cana-949	84	64	31	31	NUM
cana-949	84	65	no	no	NOUN
cana-949	84	66	.	.	PUNCT
cana-949	85	1	4s	4s	NUM
cana-949	85	2	(	(	PUNCT
cana-949	85	3	2024	2024	NUM
cana-949	85	4	)	)	PUNCT
cana-949	85	5	544	544	NUM
cana-949	85	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	85	7	1	1	NUM
cana-949	85	8	.	.	X
cana-949	85	9	µ	µ	PRON
cana-949	85	10	�	�	PROPN
cana-949	85	11	̃	̃	PROPN
cana-949	85	12	�	�	PROPN
cana-949	85	13	is	be	AUX
cana-949	85	14	a	a	DET
cana-949	85	15	continuous	continuous	ADJ
cana-949	85	16	function	function	NOUN
cana-949	85	17	from	from	ADP
cana-949	85	18	𝑅	𝑅	PROPN
cana-949	85	19	→	→	SYM
cana-949	85	20	[	[	X
cana-949	85	21	0,1	0,1	NUM
cana-949	85	22	]	]	PUNCT
cana-949	85	23	.	.	PUNCT
cana-949	86	1	2	2	X
cana-949	86	2	.	.	X
cana-949	86	3	µ	µ	PRON
cana-949	86	4	�	�	PROPN
cana-949	86	5	̃	̃	PROPN
cana-949	86	6	�	�	PROPN
cana-949	86	7	is	be	AUX
cana-949	86	8	equal	equal	ADJ
cana-949	86	9	to	to	ADP
cana-949	86	10	zero	zero	NUM
cana-949	86	11	∀	∀	X
cana-949	86	12	(	(	PUNCT
cana-949	86	13	−∞	−∞	NOUN
cana-949	86	14	,	,	PUNCT
cana-949	86	15	𝑞1	𝑞1	PROPN
cana-949	86	16	]	]	PUNCT
cana-949	86	17	.	.	PUNCT
cana-949	87	1	3	3	X
cana-949	87	2	.	.	X
cana-949	87	3	µ	µ	PRON
cana-949	87	4	�	�	PROPN
cana-949	87	5	̃	̃	PROPN
cana-949	87	6	�	�	PROPN
cana-949	87	7	is	be	AUX
cana-949	87	8	equal	equal	ADJ
cana-949	87	9	to	to	ADP
cana-949	87	10	zero	zero	NUM
cana-949	87	11	∀	∀	NOUN
cana-949	88	1	[	[	X
cana-949	88	2	𝑞3	𝑞3	NOUN
cana-949	88	3	,	,	PUNCT
cana-949	88	4	∞	∞	PROPN
cana-949	88	5	)	)	PUNCT
cana-949	88	6	.	.	PUNCT
cana-949	89	1	4	4	X
cana-949	89	2	.	.	X
cana-949	89	3	µ	µ	PRON
cana-949	89	4	�	�	PROPN
cana-949	89	5	̃	̃	PROPN
cana-949	89	6	�	�	PROPN
cana-949	89	7	is	be	AUX
cana-949	89	8	strictly	strictly	ADV
cana-949	89	9	increasing	increase	VERB
cana-949	89	10	on	on	ADP
cana-949	89	11	[	[	X
cana-949	89	12	𝑞1	𝑞1	ADJ
cana-949	89	13	,	,	PUNCT
cana-949	89	14	𝑞2	𝑞2	NOUN
cana-949	89	15	]	]	PUNCT
cana-949	89	16	.	.	PUNCT
cana-949	90	1	5	5	X
cana-949	90	2	.	.	X
cana-949	90	3	µ	µ	PRON
cana-949	90	4	�	�	PROPN
cana-949	90	5	̃	̃	PROPN
cana-949	90	6	�	�	PROPN
cana-949	90	7	is	be	AUX
cana-949	90	8	strictly	strictly	ADV
cana-949	90	9	decreasing	decrease	VERB
cana-949	90	10	on	on	ADP
cana-949	90	11	[	[	X
cana-949	90	12	𝑞2	𝑞2	NOUN
cana-949	90	13	,	,	PUNCT
cana-949	90	14	𝑞3	𝑞3	PROPN
cana-949	90	15	]	]	PUNCT
cana-949	90	16	.	.	PUNCT
cana-949	91	1	6	6	NUM
cana-949	91	2	.	.	X
cana-949	91	3	µ	µ	PRON
cana-949	91	4	�	�	PROPN
cana-949	91	5	̃	̃	PROPN
cana-949	91	6	�	�	PROPN
cana-949	91	7	is	be	AUX
cana-949	91	8	equal	equal	ADJ
cana-949	91	9	to	to	ADP
cana-949	91	10	one	one	NUM
cana-949	91	11	∀	∀	NOUN
cana-949	91	12	𝑞	𝑞	X
cana-949	91	13	∈	∈	NOUN
cana-949	91	14	𝑞2	𝑞2	NOUN
cana-949	91	15	where	where	SCONJ
cana-949	91	16	𝑞1	𝑞1	ADJ
cana-949	91	17	≤	≤	NUM
cana-949	91	18	𝑞2	𝑞2	NOUN
cana-949	91	19	≤	≤	X
cana-949	91	20	𝑞3	𝑞3	PROPN
cana-949	91	21	.	.	PUNCT
cana-949	92	1	•	•	NUM
cana-949	92	2	a	a	DET
cana-949	92	3	fuzzy	fuzzy	ADJ
cana-949	92	4	set	set	NOUN
cana-949	92	5	s	s	VERB
cana-949	92	6	is	be	AUX
cana-949	92	7	defined	define	VERB
cana-949	92	8	on	on	ADP
cana-949	92	9	x	x	PUNCT
cana-949	92	10	and	and	CCONJ
cana-949	92	11	𝛼	𝛼	NOUN
cana-949	92	12	∈	∈	NOUN
cana-949	93	1	[	[	X
cana-949	93	2	0,1	0,1	NUM
cana-949	93	3	]	]	PUNCT
cana-949	93	4	,	,	PUNCT
cana-949	93	5	then	then	ADV
cana-949	93	6	the	the	DET
cana-949	93	7	alpha	alpha	NOUN
cana-949	93	8	cut	cut	NOUN
cana-949	93	9	is	be	AUX
cana-949	93	10	defined	define	VERB
cana-949	93	11	as	as	ADP
cana-949	93	12	𝑆(𝛼	𝑆(𝛼	NOUN
cana-949	93	13	)	)	PUNCT
cana-949	93	14	=	=	SYM
cana-949	93	15	{	{	PUNCT
cana-949	93	16	𝑥/µ(x	𝑥/µ(x	NOUN
cana-949	93	17	)	)	PUNCT
cana-949	93	18	≥	≥	NOUN
cana-949	93	19	𝛼	𝛼	NOUN
cana-949	93	20	}	}	PUNCT
cana-949	93	21	.	.	PUNCT
cana-949	94	1	•	•	ADP
cana-949	94	2	a	a	DET
cana-949	94	3	linear	linear	ADJ
cana-949	94	4	membership	membership	NOUN
cana-949	94	5	function	function	NOUN
cana-949	94	6	can	can	AUX
cana-949	94	7	be	be	AUX
cana-949	94	8	defined	define	VERB
cana-949	94	9	as	as	SCONJ
cana-949	94	10	follows	follow	VERB
cana-949	94	11	µ𝑆(𝑋	µ𝑆(𝑋	PROPN
cana-949	94	12	)	)	PUNCT
cana-949	94	13	=	=	PRON
cana-949	94	14	{	{	PUNCT
cana-949	94	15	0	0	NUM
cana-949	94	16	,	,	PUNCT
cana-949	94	17	𝑖𝑓	𝑖𝑓	ADP
cana-949	94	18	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	94	19	≤	≤	PUNCT
cana-949	94	20	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	94	21	,	,	PUNCT
cana-949	94	22	𝑥𝑖𝑗𝑘−𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘−𝑥𝑖𝑗𝑘	PRON
cana-949	94	23	𝑥𝑖𝑗𝑘−𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘−𝑥𝑖𝑗𝑘	NOUN
cana-949	94	24	,	,	PUNCT
cana-949	94	25	𝑖𝑓	𝑖𝑓	ADP
cana-949	94	26	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	94	27	<	<	X
cana-949	94	28	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	94	29	<	<	X
cana-949	94	30	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	94	31	,	,	PUNCT
cana-949	94	32	1	1	NUM
cana-949	94	33	,	,	PUNCT
cana-949	94	34	𝑖𝑓	𝑖𝑓	ADP
cana-949	95	1	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	95	2	>	>	X
cana-949	95	3	𝑥𝑖𝑗𝑘.	𝑥𝑖𝑗𝑘.	NOUN
cana-949	95	4	(	(	PUNCT
cana-949	95	5	2	2	NUM
cana-949	95	6	)	)	PUNCT
cana-949	95	7	to	to	PART
cana-949	95	8	obtain	obtain	VERB
cana-949	95	9	crisp	crisp	ADJ
cana-949	95	10	set	set	NOUN
cana-949	95	11	from	from	ADP
cana-949	95	12	the	the	DET
cana-949	95	13	fuzzy	fuzzy	ADJ
cana-949	95	14	system	system	NOUN
cana-949	95	15	t	t	PROPN
cana-949	95	16	,	,	PUNCT
cana-949	95	17	𝛼-cut	𝛼-cut	VERB
cana-949	95	18	for	for	ADP
cana-949	95	19	linear	linear	PROPN
cana-949	95	20	membership	membership	NOUN
cana-949	95	21	function	function	NOUN
cana-949	95	22	can	can	AUX
cana-949	95	23	be	be	AUX
cana-949	95	24	written	write	VERB
cana-949	95	25	as	as	ADP
cana-949	95	26	∀	∀	NOUN
cana-949	95	27	𝛼	𝛼	PART
cana-949	95	28	∈	∈	NOUN
cana-949	95	29	[	[	X
cana-949	95	30	0,1	0,1	NUM
cana-949	95	31	]	]	PUNCT
cana-949	95	32	,	,	PUNCT
cana-949	95	33	(	(	PUNCT
cana-949	95	34	𝑥𝑖𝑗𝑘−𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘−𝑥𝑖𝑗𝑘	NOUN
cana-949	95	35	𝑥𝑖𝑗𝑘−𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘−𝑥𝑖𝑗𝑘	PRON
cana-949	95	36	)	)	PUNCT
cana-949	96	1	=	=	PUNCT
cana-949	96	2	𝛼	𝛼	NOUN
cana-949	96	3	such	such	ADJ
cana-949	96	4	that	that	DET
cana-949	96	5	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	96	6	=	=	PUNCT
cana-949	96	7	(	(	PUNCT
cana-949	96	8	1	1	NUM
cana-949	96	9	−	−	NUM
cana-949	96	10	𝛼)𝑥𝑖𝑗𝑘	𝛼)𝑥𝑖𝑗𝑘	NUM
cana-949	97	1	+	+	CCONJ
cana-949	97	2	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	97	3	(	(	PUNCT
cana-949	97	4	3	3	NUM
cana-949	97	5	)	)	SYM
cana-949	97	6	4	4	NUM
cana-949	97	7	.	.	X
cana-949	97	8	problem	problem	NOUN
cana-949	97	9	’s	’s	PART
cana-949	97	10	formulation	formulation	NOUN
cana-949	97	11	and	and	CCONJ
cana-949	97	12	optimal	optimal	ADJ
cana-949	97	13	solution	solution	NOUN
cana-949	97	14	our	our	PRON
cana-949	97	15	main	main	ADJ
cana-949	97	16	objective	objective	NOUN
cana-949	97	17	is	be	AUX
cana-949	97	18	minimization	minimization	NOUN
cana-949	97	19	of	of	ADP
cana-949	97	20	cost	cost	NOUN
cana-949	97	21	of	of	ADP
cana-949	97	22	transportation	transportation	NOUN
cana-949	97	23	for	for	ADP
cana-949	97	24	sfstpmc	sfstpmc	NOUN
cana-949	97	25	problem	problem	NOUN
cana-949	97	26	.	.	PUNCT
cana-949	98	1	in	in	ADP
cana-949	98	2	practical	practical	ADJ
cana-949	98	3	scenarios	scenario	NOUN
cana-949	98	4	,	,	PUNCT
cana-949	98	5	uncertainties	uncertainty	NOUN
cana-949	98	6	arise	arise	VERB
cana-949	98	7	in	in	ADP
cana-949	98	8	parameters	parameter	NOUN
cana-949	98	9	like	like	ADP
cana-949	98	10	cost	cost	NOUN
cana-949	98	11	,	,	PUNCT
cana-949	98	12	cost	cost	NOUN
cana-949	98	13	,	,	PUNCT
cana-949	98	14	supply	supply	NOUN
cana-949	98	15	,	,	PUNCT
cana-949	98	16	demand	demand	NOUN
cana-949	98	17	,	,	PUNCT
cana-949	98	18	and	and	CCONJ
cana-949	98	19	conveyance	conveyance	NOUN
cana-949	98	20	capacity	capacity	NOUN
cana-949	98	21	which	which	PRON
cana-949	98	22	creates	create	VERB
cana-949	98	23	challenges	challenge	NOUN
cana-949	98	24	for	for	ADP
cana-949	98	25	decision	decision	NOUN
cana-949	98	26	makers	maker	NOUN
cana-949	98	27	in	in	ADP
cana-949	98	28	achieving	achieve	VERB
cana-949	98	29	optimal	optimal	ADJ
cana-949	98	30	solutions	solution	NOUN
cana-949	98	31	.	.	PUNCT
cana-949	99	1	to	to	PART
cana-949	99	2	address	address	VERB
cana-949	99	3	this	this	PRON
cana-949	99	4	,	,	PUNCT
cana-949	99	5	fuzzy	fuzzy	ADJ
cana-949	99	6	and	and	CCONJ
cana-949	99	7	random	random	ADJ
cana-949	99	8	variables	variable	NOUN
cana-949	99	9	are	be	AUX
cana-949	99	10	employed	employ	VERB
cana-949	99	11	.	.	PUNCT
cana-949	100	1	cost	cost	NOUN
cana-949	100	2	is	be	AUX
cana-949	100	3	treated	treat	VERB
cana-949	100	4	as	as	ADP
cana-949	100	5	triangular	triangular	NOUN
cana-949	100	6	fuzzy	fuzzy	ADJ
cana-949	100	7	variables	variable	NOUN
cana-949	100	8	and	and	CCONJ
cana-949	100	9	constraints	constraint	NOUN
cana-949	100	10	are	be	AUX
cana-949	100	11	consider	consider	VERB
cana-949	100	12	as	as	ADP
cana-949	100	13	random	random	ADJ
cana-949	100	14	variables	variable	NOUN
cana-949	100	15	in	in	ADP
cana-949	100	16	this	this	DET
cana-949	100	17	model	model	NOUN
cana-949	100	18	.	.	PUNCT
cana-949	101	1	on	on	ADP
cana-949	101	2	the	the	DET
cana-949	101	3	basis	basis	NOUN
cana-949	101	4	of	of	ADP
cana-949	101	5	conditions	condition	NOUN
cana-949	101	6	of	of	ADP
cana-949	101	7	decision	decision	NOUN
cana-949	101	8	makers	maker	NOUN
cana-949	101	9	,	,	PUNCT
cana-949	101	10	occurrence	occurrence	NOUN
cana-949	101	11	of	of	ADP
cana-949	101	12	uncertainty	uncertainty	NOUN
cana-949	101	13	in	in	ADP
cana-949	101	14	demand	demand	NOUN
cana-949	101	15	,	,	PUNCT
cana-949	101	16	supply	supply	NOUN
cana-949	101	17	and	and	CCONJ
cana-949	101	18	conveyance	conveyance	NOUN
cana-949	101	19	capacity	capacity	NOUN
cana-949	101	20	may	may	AUX
cana-949	101	21	be	be	AUX
cana-949	101	22	occur	occur	ADJ
cana-949	101	23	.	.	PUNCT
cana-949	102	1	on	on	ADP
cana-949	102	2	the	the	DET
cana-949	102	3	basis	basis	NOUN
cana-949	102	4	constraint	constraint	NOUN
cana-949	102	5	’s	’s	PART
cana-949	102	6	uncertainty	uncertainty	NOUN
cana-949	102	7	formulate	formulate	VERB
cana-949	102	8	four	four	NUM
cana-949	102	9	sfstpmc	sfstpmc	NOUN
cana-949	102	10	models	model	NOUN
cana-949	102	11	.	.	PUNCT
cana-949	103	1	4.1	4.1	NUM
cana-949	103	2	.	.	PUNCT
cana-949	104	1	weibull	weibull	PROPN
cana-949	104	2	distribution	distribution	NOUN
cana-949	104	3	weibull	weibull	NOUN
cana-949	104	4	distribution	distribution	NOUN
cana-949	104	5	of	of	ADP
cana-949	104	6	three	three	NUM
cana-949	104	7	parameter	parameter	NOUN
cana-949	104	8	is	be	AUX
cana-949	104	9	followed	follow	VERB
cana-949	104	10	by	by	ADP
cana-949	104	11	probability	probability	NOUN
cana-949	104	12	density	density	NOUN
cana-949	104	13	function	function	NOUN
cana-949	104	14	and	and	CCONJ
cana-949	104	15	cumulative	cumulative	ADJ
cana-949	104	16	density	density	NOUN
cana-949	104	17	function	function	NOUN
cana-949	104	18	of	of	ADP
cana-949	104	19	random	random	ADJ
cana-949	104	20	variable	variable	NOUN
cana-949	104	21	t	t	NOUN
cana-949	104	22	given	give	VERB
cana-949	104	23	as	as	ADP
cana-949	104	24	𝑓(𝑡	𝑓(𝑡	NOUN
cana-949	104	25	)	)	PUNCT
cana-949	104	26	=	=	PUNCT
cana-949	105	1	𝛾	𝛾	PRON
cana-949	105	2	𝛿	𝛿	ADJ
cana-949	105	3	(	(	PUNCT
cana-949	105	4	𝑡−𝛽	𝑡−𝛽	NOUN
cana-949	105	5	𝛿	𝛿	ADJ
cana-949	105	6	)	)	PUNCT
cana-949	105	7	𝛾−1𝑒−	𝛾−1𝑒−	PROPN
cana-949	105	8	(	(	PUNCT
cana-949	105	9	𝑡−𝛽	𝑡−𝛽	NOUN
cana-949	105	10	𝛿	𝛿	ADJ
cana-949	105	11	)	)	PUNCT
cana-949	105	12	𝛾	𝛾	NOUN
cana-949	105	13	,	,	PUNCT
cana-949	105	14	(	(	PUNCT
cana-949	105	15	4	4	NUM
cana-949	105	16	)	)	PUNCT
cana-949	105	17	and	and	CCONJ
cana-949	105	18	𝐹(𝑡	𝐹(𝑡	NUM
cana-949	105	19	)	)	PUNCT
cana-949	105	20	=	=	SYM
cana-949	106	1	1	1	NUM
cana-949	106	2	−	−	ADP
cana-949	106	3	𝑒−	𝑒−	PROPN
cana-949	106	4	(	(	PUNCT
cana-949	106	5	𝑡−𝛽	𝑡−𝛽	NOUN
cana-949	106	6	𝛿	𝛿	ADJ
cana-949	106	7	)	)	PUNCT
cana-949	106	8	𝛾	𝛾	NOUN
cana-949	106	9	,	,	PUNCT
cana-949	106	10	(	(	PUNCT
cana-949	106	11	5	5	X
cana-949	106	12	)	)	PUNCT
cana-949	106	13	here	here	ADV
cana-949	106	14	(	(	PUNCT
cana-949	106	15	)	)	PUNCT
cana-949	106	16	0	0	NUM
cana-949	106	17	,	,	PUNCT
cana-949	106	18	0f	0f	PROPN
cana-949	106	19	t	t	PROPN
cana-949	106	20	t	t	PROPN
cana-949	106	21			PROPN
cana-949	106	22	or	or	CCONJ
cana-949	106	23			PROPN
cana-949	106	24	.	.	PUNCT
cana-949	107	1	note	note	VERB
cana-949	107	2	that	that	DET
cana-949	107	3	shape	shape	NOUN
cana-949	107	4	parameter	parameter	NOUN
cana-949	107	5	𝛾	𝛾	PROPN
cana-949	107	6	>	>	X
cana-949	107	7	0	0	NUM
cana-949	107	8	,	,	PUNCT
cana-949	107	9	scale	scale	NOUN
cana-949	107	10	parameter	parameter	NOUN
cana-949	107	11	𝛿	𝛿	PROPN
cana-949	107	12	>	>	X
cana-949	107	13	0	0	PUNCT
cana-949	107	14	and	and	CCONJ
cana-949	107	15	location	location	NOUN
cana-949	107	16	parameter	parameter	NOUN
cana-949	107	17	−∞	−∞	ADP
cana-949	107	18	<	<	X
cana-949	107	19	𝛽	𝛽	X
cana-949	107	20	<	<	X
cana-949	107	21	∞.	∞.	PROPN
cana-949	107	22	4.2	4.2	NUM
cana-949	107	23	.	.	PUNCT
cana-949	108	1	chance	chance	NOUN
cana-949	108	2	constraint	constraint	NOUN
cana-949	108	3	programming	program	VERB
cana-949	108	4	the	the	DET
cana-949	108	5	closed	closed	ADJ
cana-949	108	6	form	form	NOUN
cana-949	108	7	of	of	ADP
cana-949	108	8	quantiles	quantile	NOUN
cana-949	108	9	for	for	ADP
cana-949	108	10	a	a	DET
cana-949	108	11	probability	probability	NOUN
cana-949	108	12	distribution	distribution	NOUN
cana-949	108	13	function	function	NOUN
cana-949	108	14	can	can	AUX
cana-949	108	15	be	be	AUX
cana-949	108	16	achieved	achieve	VERB
cana-949	108	17	by	by	ADP
cana-949	108	18	applying	apply	VERB
cana-949	108	19	the	the	DET
cana-949	108	20	constraint	constraint	NOUN
cana-949	108	21	from	from	ADP
cana-949	108	22	the	the	DET
cana-949	108	23	proposed	propose	VERB
cana-949	108	24	sp	sp	ADP
cana-949	108	25	model	model	NOUN
cana-949	108	26	to	to	ADP
cana-949	108	27	the	the	DET
cana-949	108	28	deterministic	deterministic	ADJ
cana-949	108	29	constraints	constraint	NOUN
cana-949	108	30	.	.	PUNCT
cana-949	109	1	the	the	DET
cana-949	109	2	utilization	utilization	NOUN
cana-949	109	3	of	of	ADP
cana-949	109	4	the	the	DET
cana-949	109	5	weibull	weibull	PROPN
cana-949	109	6	communications	communication	NOUN
cana-949	109	7	on	on	ADP
cana-949	109	8	applied	apply	VERB
cana-949	109	9	nonlinear	nonlinear	ADJ
cana-949	109	10	analysis	analysis	NOUN
cana-949	109	11	issn	issn	NOUN
cana-949	109	12	:	:	PUNCT
cana-949	109	13	1074	1074	NUM
cana-949	109	14	-	-	PUNCT
cana-949	109	15	133x	133x	NUM
cana-949	109	16	vol	vol	NOUN
cana-949	109	17	31	31	NUM
cana-949	109	18	no	no	NOUN
cana-949	109	19	.	.	PUNCT
cana-949	110	1	4s	4s	NUM
cana-949	110	2	(	(	PUNCT
cana-949	110	3	2024	2024	NUM
cana-949	110	4	)	)	PUNCT
cana-949	110	5	545	545	NUM
cana-949	110	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	110	7	distribution	distribution	NOUN
cana-949	110	8	is	be	AUX
cana-949	110	9	also	also	ADV
cana-949	110	10	motivated	motivate	VERB
cana-949	110	11	by	by	ADP
cana-949	110	12	its	its	PRON
cana-949	110	13	closed	closed	ADJ
cana-949	110	14	form	form	NOUN
cana-949	110	15	for	for	ADP
cana-949	110	16	quartiles	quartile	NOUN
cana-949	110	17	.	.	PUNCT
cana-949	111	1	this	this	DET
cana-949	111	2	paper	paper	NOUN
cana-949	111	3	outlines	outline	VERB
cana-949	111	4	the	the	DET
cana-949	111	5	ccp	ccp	PROPN
cana-949	111	6	model	model	NOUN
cana-949	111	7	for	for	ADP
cana-949	111	8	sfstpmc	sfstpmc	NOUN
cana-949	111	9	as	as	ADP
cana-949	111	10	:	:	PUNCT
cana-949	111	11	(	(	PUNCT
cana-949	111	12	r	r	NOUN
cana-949	111	13	)	)	PUNCT
cana-949	111	14	minimize	minimize	VERB
cana-949	111	15	�	�	PROPN
cana-949	111	16	̃	̃	NOUN
cana-949	111	17	�	�	NOUN
cana-949	111	18	=	=	SYM
cana-949	111	19	∑	∑	PROPN
cana-949	111	20	∑	∑	PROPN
cana-949	111	21	∑	∑	PROPN
cana-949	111	22	�	�	PROPN
cana-949	111	23	̃	̃	PROPN
cana-949	111	24	�	�	NOUN
cana-949	111	25	𝑖𝑗𝑘𝑥𝑖𝑗𝑘	𝑖𝑗𝑘𝑥𝑖𝑗𝑘	NOUN
cana-949	111	26	𝑙	𝑙	PRON
cana-949	111	27	𝑘=1	𝑘=1	NOUN
cana-949	111	28	𝑛	𝑛	PRON
cana-949	111	29	𝑗=1	𝑗=1	PROPN
cana-949	111	30	𝑚	𝑚	ADP
cana-949	111	31	𝑖=1	𝑖=1	PROPN
cana-949	111	32	subject	subject	NOUN
cana-949	111	33	to	to	ADP
cana-949	111	34	1	1	NUM
cana-949	111	35	1	1	NUM
cana-949	111	36	(	(	PUNCT
cana-949	111	37	)	)	PUNCT
cana-949	111	38	,	,	PUNCT
cana-949	111	39	i	i	PRON
cana-949	111	40	n	n	VERB
cana-949	111	41	l	l	NOUN
cana-949	111	42	ijk	ijk	X
cana-949	111	43	i	i	PRON
cana-949	111	44	a	a	PRON
cana-949	111	45	j	j	X
cana-949	111	46	k	k	PROPN
cana-949	111	47	p	p	X
cana-949	111	48	x	x	X
cana-949	111	49	a	a	DET
cana-949	111	50	p	p	X
cana-949	111	51	=	=	X
cana-949	111	52	=	=	SYM
cana-949	111	53			NUM
cana-949	111	54			NOUN
cana-949	111	55	𝑖	𝑖	SYM
cana-949	111	56	∈	∈	PROPN
cana-949	111	57	𝑟1	𝑟1	NOUN
cana-949	111	58	,	,	PUNCT
cana-949	111	59	(	(	PUNCT
cana-949	111	60	6	6	NUM
cana-949	111	61	)	)	SYM
cana-949	111	62	1	1	NUM
cana-949	111	63	1	1	NUM
cana-949	111	64	(	(	PUNCT
cana-949	111	65	)	)	PUNCT
cana-949	111	66	,	,	PUNCT
cana-949	111	67	i	i	PRON
cana-949	111	68	n	n	VERB
cana-949	111	69	l	l	NOUN
cana-949	111	70	ijk	ijk	X
cana-949	111	71	i	i	PRON
cana-949	111	72	a	a	PRON
cana-949	111	73	j	j	X
cana-949	111	74	k	k	PROPN
cana-949	111	75	p	p	X
cana-949	111	76	x	x	X
cana-949	111	77	a	a	DET
cana-949	111	78	p	p	X
cana-949	111	79	=	=	PUNCT
cana-949	111	80	=	=	SYM
cana-949	111	81	=	=	PUNCT
cana-949	111	82			NOUN
cana-949	111	83	𝑖	𝑖	SYM
cana-949	111	84	∈	∈	PROPN
cana-949	111	85	𝑟2	𝑟2	NOUN
cana-949	111	86	,	,	PUNCT
cana-949	111	87	(	(	PUNCT
cana-949	111	88	7	7	X
cana-949	111	89	)	)	SYM
cana-949	111	90	1	1	NUM
cana-949	111	91	1	1	NUM
cana-949	111	92	(	(	PUNCT
cana-949	111	93	)	)	PUNCT
cana-949	111	94	,	,	PUNCT
cana-949	111	95	i	i	PRON
cana-949	111	96	n	n	VERB
cana-949	111	97	l	l	NOUN
cana-949	111	98	ijk	ijk	X
cana-949	111	99	i	i	PRON
cana-949	111	100	a	a	PRON
cana-949	111	101	j	j	X
cana-949	111	102	k	k	PROPN
cana-949	111	103	p	p	X
cana-949	111	104	x	x	X
cana-949	111	105	a	a	DET
cana-949	111	106	p	p	X
cana-949	111	107	=	=	SYM
cana-949	111	108	=	=	SYM
cana-949	111	109			NOUN
cana-949	111	110			NOUN
cana-949	111	111	𝑖	𝑖	SYM
cana-949	111	112	∈	∈	PROPN
cana-949	111	113	𝑟3	𝑟3	NOUN
cana-949	111	114	,	,	PUNCT
cana-949	111	115	(	(	PUNCT
cana-949	111	116	8)	8)	NUM
cana-949	111	117	1	1	NUM
cana-949	111	118	1	1	NUM
cana-949	111	119	(	(	PUNCT
cana-949	111	120	)	)	PUNCT
cana-949	111	121	,	,	PUNCT
cana-949	111	122	j	j	PROPN
cana-949	111	123	m	m	VERB
cana-949	111	124	l	l	PROPN
cana-949	111	125	ijk	ijk	PROPN
cana-949	112	1	j	j	PROPN
cana-949	112	2	b	b	PROPN
cana-949	113	1	i	i	PRON
cana-949	113	2	k	k	PROPN
cana-949	114	1	p	p	X
cana-949	114	2	x	x	X
cana-949	114	3	b	b	X
cana-949	114	4	p	p	X
cana-949	114	5	=	=	X
cana-949	114	6	=	=	SYM
cana-949	114	7			NUM
cana-949	114	8			NOUN
cana-949	114	9	𝑗	𝑗	PROPN
cana-949	114	10	∈	∈	PROPN
cana-949	114	11	𝑞1	𝑞1	NOUN
cana-949	114	12	,	,	PUNCT
cana-949	114	13	(	(	PUNCT
cana-949	114	14	9	9	NUM
cana-949	114	15	)	)	SYM
cana-949	114	16	1	1	NUM
cana-949	114	17	1	1	NUM
cana-949	114	18	(	(	PUNCT
cana-949	114	19	)	)	PUNCT
cana-949	114	20	,	,	PUNCT
cana-949	114	21	j	j	PROPN
cana-949	114	22	m	m	VERB
cana-949	114	23	l	l	PROPN
cana-949	114	24	ijk	ijk	PROPN
cana-949	115	1	j	j	PROPN
cana-949	115	2	b	b	PROPN
cana-949	116	1	i	i	PRON
cana-949	116	2	k	k	PROPN
cana-949	117	1	p	p	X
cana-949	117	2	x	x	X
cana-949	117	3	b	b	NOUN
cana-949	117	4	p	p	NOUN
cana-949	117	5	=	=	PUNCT
cana-949	117	6	=	=	SYM
cana-949	117	7	=	=	PUNCT
cana-949	117	8			NOUN
cana-949	117	9	𝑗	𝑗	PROPN
cana-949	117	10	∈	∈	PROPN
cana-949	117	11	𝑞2	𝑞2	NOUN
cana-949	117	12	,	,	PUNCT
cana-949	117	13	(	(	PUNCT
cana-949	117	14	10	10	NUM
cana-949	117	15	)	)	SYM
cana-949	117	16	1	1	NUM
cana-949	117	17	1	1	NUM
cana-949	117	18	(	(	PUNCT
cana-949	117	19	)	)	PUNCT
cana-949	117	20	,	,	PUNCT
cana-949	118	1	j	j	PROPN
cana-949	118	2	m	m	VERB
cana-949	118	3	l	l	PROPN
cana-949	118	4	ijk	ijk	PROPN
cana-949	119	1	j	j	PROPN
cana-949	119	2	b	b	PROPN
cana-949	120	1	i	i	PRON
cana-949	120	2	k	k	PROPN
cana-949	121	1	p	p	X
cana-949	121	2	x	x	X
cana-949	121	3	b	b	X
cana-949	121	4	p	p	NOUN
cana-949	121	5	=	=	SYM
cana-949	121	6	=	=	SYM
cana-949	121	7			NOUN
cana-949	121	8			NOUN
cana-949	121	9	𝑗	𝑗	PROPN
cana-949	121	10	∈	∈	NOUN
cana-949	121	11	𝑞3	𝑞3	NOUN
cana-949	121	12	,	,	PUNCT
cana-949	121	13	(	(	PUNCT
cana-949	121	14	11	11	NUM
cana-949	121	15	)	)	SYM
cana-949	121	16	1	1	NUM
cana-949	121	17	1	1	NUM
cana-949	121	18	(	(	PUNCT
cana-949	121	19	)	)	PUNCT
cana-949	121	20	,	,	PUNCT
cana-949	121	21	k	k	PROPN
cana-949	121	22	m	m	VERB
cana-949	121	23	n	n	VERB
cana-949	121	24	ijk	ijk	X
cana-949	121	25	k	k	PROPN
cana-949	121	26	e	e	PROPN
cana-949	122	1	i	i	PRON
cana-949	122	2	j	j	PROPN
cana-949	123	1	p	p	X
cana-949	123	2	x	x	X
cana-949	123	3	e	e	X
cana-949	123	4	p	p	NOUN
cana-949	123	5	=	=	PUNCT
cana-949	123	6	=	=	SYM
cana-949	123	7			NUM
cana-949	123	8			NOUN
cana-949	123	9	𝑘	𝑘	PROPN
cana-949	123	10	∈	∈	PROPN
cana-949	123	11	𝑢1	𝑢1	NOUN
cana-949	123	12	,	,	PUNCT
cana-949	123	13	(	(	PUNCT
cana-949	123	14	12	12	NUM
cana-949	123	15	)	)	SYM
cana-949	123	16	1	1	NUM
cana-949	123	17	1	1	NUM
cana-949	123	18	(	(	PUNCT
cana-949	123	19	)	)	PUNCT
cana-949	123	20	,	,	PUNCT
cana-949	123	21	k	k	PROPN
cana-949	123	22	m	m	VERB
cana-949	123	23	n	n	VERB
cana-949	123	24	ijk	ijk	X
cana-949	123	25	k	k	PROPN
cana-949	123	26	e	e	PROPN
cana-949	124	1	i	i	PRON
cana-949	124	2	j	j	PROPN
cana-949	125	1	p	p	X
cana-949	125	2	x	x	X
cana-949	125	3	e	e	X
cana-949	125	4	p	p	NOUN
cana-949	125	5	=	=	PUNCT
cana-949	125	6	=	=	PUNCT
cana-949	125	7	=	=	PUNCT
cana-949	125	8			NOUN
cana-949	125	9	𝑘	𝑘	PROPN
cana-949	125	10	∈	∈	PROPN
cana-949	125	11	𝑢2	𝑢2	PROPN
cana-949	125	12	,	,	PUNCT
cana-949	125	13	(	(	PUNCT
cana-949	125	14	13	13	NUM
cana-949	125	15	)	)	SYM
cana-949	125	16	1	1	NUM
cana-949	125	17	1	1	NUM
cana-949	125	18	(	(	PUNCT
cana-949	125	19	)	)	PUNCT
cana-949	125	20	,	,	PUNCT
cana-949	125	21	k	k	PROPN
cana-949	125	22	m	m	VERB
cana-949	125	23	n	n	VERB
cana-949	126	1	ijk	ijk	X
cana-949	126	2	k	k	PROPN
cana-949	126	3	e	e	PROPN
cana-949	127	1	i	i	PRON
cana-949	127	2	j	j	PROPN
cana-949	128	1	p	p	X
cana-949	128	2	x	x	X
cana-949	128	3	e	e	X
cana-949	128	4	p	p	NOUN
cana-949	128	5	=	=	SYM
cana-949	128	6	=	=	SYM
cana-949	128	7			NOUN
cana-949	128	8			VERB
cana-949	128	9	𝑘	𝑘	PROPN
cana-949	128	10	∈	∈	PROPN
cana-949	128	11	𝑢3	𝑢3	NOUN
cana-949	128	12	,	,	PUNCT
cana-949	128	13	(	(	PUNCT
cana-949	128	14	14	14	NUM
cana-949	128	15	)	)	PUNCT
cana-949	128	16	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	128	17	≥	≥	NOUN
cana-949	128	18	0	0	NUM
cana-949	128	19	,	,	PUNCT
cana-949	128	20	∀	∀	PUNCT
cana-949	128	21	𝑖	𝑖	NOUN
cana-949	129	1	=	=	SYM
cana-949	129	2	1	1	NUM
cana-949	129	3	,	,	PUNCT
cana-949	129	4	2	2	NUM
cana-949	129	5	,	,	PUNCT
cana-949	129	6	.	.	PUNCT
cana-949	129	7	.	.	PUNCT
cana-949	129	8	.	.	PUNCT
cana-949	130	1	,	,	PUNCT
cana-949	130	2	𝑚	𝑚	X
cana-949	130	3	,	,	PUNCT
cana-949	130	4	𝑗	𝑗	NOUN
cana-949	130	5	=	=	SYM
cana-949	130	6	1	1	NUM
cana-949	130	7	,	,	PUNCT
cana-949	130	8	2	2	NUM
cana-949	130	9	,	,	PUNCT
cana-949	130	10	.	.	PUNCT
cana-949	130	11	.	.	PUNCT
cana-949	131	1	.	.	PUNCT
cana-949	132	1	,	,	PUNCT
cana-949	132	2	𝑛	𝑛	PROPN
cana-949	132	3	and	and	CCONJ
cana-949	132	4	𝑘	𝑘	X
cana-949	132	5	=	=	ADJ
cana-949	132	6	1	1	NUM
cana-949	132	7	,	,	PUNCT
cana-949	132	8	2	2	NUM
cana-949	132	9	,	,	PUNCT
cana-949	132	10	.	.	PUNCT
cana-949	132	11	.	.	PUNCT
cana-949	133	1	.	.	PUNCT
cana-949	134	1	,	,	PUNCT
cana-949	134	2	𝑙	𝑙	X
cana-949	134	3	(	(	PUNCT
cana-949	134	4	15	15	NUM
cana-949	134	5	)	)	PUNCT
cana-949	134	6	where	where	SCONJ
cana-949	134	7	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	134	8	,	,	PUNCT
cana-949	134	9	𝑃𝑏𝑖and	𝑃𝑏𝑖and	PROPN
cana-949	134	10	𝑃𝑒𝑘	𝑃𝑒𝑘	PROPN
cana-949	134	11	are	be	AUX
cana-949	134	12	the	the	DET
cana-949	134	13	given	give	VERB
cana-949	134	14	probabilities	probability	NOUN
cana-949	134	15	.	.	PUNCT
cana-949	135	1	assumed	assume	VERB
cana-949	135	2	that	that	SCONJ
cana-949	135	3	these	these	DET
cana-949	135	4	random	random	ADJ
cana-949	135	5	variables	variable	NOUN
cana-949	135	6	(	(	PUNCT
cana-949	135	7	𝑎𝑖	𝑎𝑖	PROPN
cana-949	135	8	,	,	PUNCT
cana-949	135	9	𝑏𝑗	𝑏𝑗	PROPN
cana-949	135	10	and	and	CCONJ
cana-949	135	11	𝑒𝑘	𝑒𝑘	PROPN
cana-949	135	12	)	)	PUNCT
cana-949	135	13	follows	follow	VERB
cana-949	135	14	the	the	DET
cana-949	135	15	weibull	weibull	PROPN
cana-949	135	16	distribution	distribution	NOUN
cana-949	135	17	.	.	PUNCT
cana-949	136	1	the	the	DET
cana-949	136	2	weibull	weibull	PROPN
cana-949	136	3	distribution	distribution	NOUN
cana-949	136	4	for	for	ADP
cana-949	136	5	𝑎𝑖	𝑎𝑖	PRON
cana-949	136	6	characterized	characterize	VERB
cana-949	136	7	by	by	ADP
cana-949	136	8	three	three	NUM
cana-949	136	9	parameters	parameter	NOUN
cana-949	136	10	:	:	PUNCT
cana-949	136	11	ia	ia	NUM
cana-949	136	12	as	as	ADP
cana-949	136	13	shape	shape	NOUN
cana-949	136	14	parameter	parameter	NOUN
cana-949	136	15	,	,	PUNCT
cana-949	136	16	ia	ia	NOUN
cana-949	136	17	as	as	ADP
cana-949	136	18	scale	scale	NOUN
cana-949	136	19	parameter	parameter	NOUN
cana-949	136	20	,	,	PUNCT
cana-949	136	21	and	and	CCONJ
cana-949	136	22	ia	ia	VERB
cana-949	136	23	as	as	ADP
cana-949	136	24	location	location	NOUN
cana-949	136	25	parameters	parameter	NOUN
cana-949	136	26	.	.	PUNCT
cana-949	137	1	similarly	similarly	ADV
cana-949	137	2	,	,	PUNCT
cana-949	137	3	for	for	ADP
cana-949	137	4	𝑏𝑗	𝑏𝑗	PROPN
cana-949	137	5	and	and	CCONJ
cana-949	137	6	𝑒𝑘	𝑒𝑘	PRON
cana-949	137	7	weibull	weibull	NOUN
cana-949	137	8	distribution	distribution	NOUN
cana-949	137	9	also	also	ADV
cana-949	137	10	have	have	VERB
cana-949	137	11	their	their	PRON
cana-949	137	12	respective	respective	ADJ
cana-949	137	13	specified	specified	ADJ
cana-949	137	14	parameters	parameter	NOUN
cana-949	137	15	.	.	PUNCT
cana-949	138	1	constraints	constraint	NOUN
cana-949	138	2	(	(	PUNCT
cana-949	138	3	6	6	NUM
cana-949	138	4	)	)	PUNCT
cana-949	138	5	to	to	ADP
cana-949	138	6	(	(	PUNCT
cana-949	138	7	8)	8)	NUM
cana-949	138	8	represents	represent	VERB
cana-949	138	9	the	the	DET
cana-949	138	10	probabilistic	probabilistic	ADJ
cana-949	138	11	constraints	constraint	NOUN
cana-949	138	12	for	for	ADP
cana-949	138	13	the	the	DET
cana-949	138	14	quantity	quantity	NOUN
cana-949	138	15	of	of	ADP
cana-949	138	16	supply	supply	NOUN
cana-949	138	17	at	at	ADP
cana-949	138	18	source	source	NOUN
cana-949	138	19	i.	i.	NOUN
cana-949	138	20	these	these	DET
cana-949	138	21	constraints	constraint	NOUN
cana-949	138	22	establish	establish	VERB
cana-949	138	23	,	,	PUNCT
cana-949	138	24	with	with	ADP
cana-949	138	25	a	a	DET
cana-949	138	26	specified	specify	VERB
cana-949	138	27	probability	probability	NOUN
cana-949	138	28	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	138	29	,	,	PUNCT
cana-949	138	30	the	the	DET
cana-949	138	31	total	total	ADJ
cana-949	138	32	quantities	quantity	NOUN
cana-949	138	33	of	of	ADP
cana-949	138	34	shipping	shipping	NOUN
cana-949	138	35	of	of	ADP
cana-949	138	36	products	product	NOUN
cana-949	138	37	from	from	ADP
cana-949	138	38	supply	supply	NOUN
cana-949	138	39	origin	origin	NOUN
cana-949	138	40	i	i	PRON
cana-949	138	41	must	must	AUX
cana-949	138	42	be	be	AUX
cana-949	138	43	distribute	distribute	VERB
cana-949	138	44	either	either	CCONJ
cana-949	138	45	be	be	AUX
cana-949	138	46	exactly	exactly	ADV
cana-949	138	47	ia	ia	ADJ
cana-949	138	48	units	unit	NOUN
cana-949	138	49	,	,	PUNCT
cana-949	138	50	at	at	ADP
cana-949	138	51	least	least	ADJ
cana-949	138	52	ia	ia	NOUN
cana-949	138	53	units	unit	NOUN
cana-949	138	54	,	,	PUNCT
cana-949	138	55	or	or	CCONJ
cana-949	138	56	at	at	ADP
cana-949	138	57	most	most	ADJ
cana-949	138	58	ia	ia	PROPN
cana-949	138	59	units	unit	NOUN
cana-949	138	60	.	.	PUNCT
cana-949	139	1	here	here	ADV
cana-949	139	2	𝑟1	𝑟1	NOUN
cana-949	139	3	,	,	PUNCT
cana-949	139	4	𝑟2	𝑟2	NOUN
cana-949	139	5	,	,	PUNCT
cana-949	139	6	and	and	CCONJ
cana-949	139	7	𝑟3	𝑟3	NOUN
cana-949	139	8	are	be	AUX
cana-949	139	9	partitions	partition	NOUN
cana-949	139	10	of	of	ADP
cana-949	139	11	i	i	PRON
cana-949	139	12	,	,	PUNCT
cana-949	139	13	where	where	SCONJ
cana-949	139	14	i	i	PRON
cana-949	139	15	takes	take	VERB
cana-949	139	16	values	value	NOUN
cana-949	139	17	from	from	ADP
cana-949	139	18	1	1	NUM
cana-949	139	19	to	to	ADP
cana-949	139	20	m.	m.	NOUN
cana-949	139	21	similarly	similarly	ADV
cana-949	139	22	,	,	PUNCT
cana-949	139	23	constraints	constraint	NOUN
cana-949	139	24	(	(	PUNCT
cana-949	139	25	9	9	NUM
cana-949	139	26	)	)	PUNCT
cana-949	139	27	to	to	ADP
cana-949	139	28	(	(	PUNCT
cana-949	139	29	11	11	NUM
cana-949	139	30	)	)	PUNCT
cana-949	139	31	represents	represent	VERB
cana-949	139	32	the	the	DET
cana-949	139	33	demand	demand	NOUN
cana-949	139	34	at	at	ADP
cana-949	139	35	destination	destination	NOUN
cana-949	139	36	j	j	PROPN
cana-949	139	37	must	must	AUX
cana-949	139	38	be	be	AUX
cana-949	139	39	receive	receive	VERB
cana-949	139	40	either	either	CCONJ
cana-949	139	41	be	be	AUX
cana-949	139	42	exactly	exactly	ADV
cana-949	139	43	jb	jb	PROPN
cana-949	139	44	units	unit	NOUN
cana-949	139	45	,	,	PUNCT
cana-949	139	46	at	at	ADP
cana-949	139	47	least	least	ADJ
cana-949	139	48	jb	jb	PROPN
cana-949	139	49	units	unit	NOUN
cana-949	139	50	,	,	PUNCT
cana-949	139	51	or	or	CCONJ
cana-949	139	52	at	at	ADP
cana-949	139	53	most	most	ADJ
cana-949	139	54	jb	jb	PROPN
cana-949	139	55	units	unit	NOUN
cana-949	139	56	.	.	PUNCT
cana-949	140	1	here	here	ADV
cana-949	140	2	𝑞1	𝑞1	PROPN
cana-949	140	3	,	,	PUNCT
cana-949	140	4	𝑞2	𝑞2	NOUN
cana-949	140	5	,	,	PUNCT
cana-949	140	6	and	and	CCONJ
cana-949	140	7	𝑞3are	𝑞3are	PROPN
cana-949	140	8	partitions	partition	NOUN
cana-949	140	9	of	of	ADP
cana-949	140	10	j	j	PROPN
cana-949	140	11	,	,	PUNCT
cana-949	140	12	where	where	SCONJ
cana-949	140	13	j	j	PROPN
cana-949	140	14	takes	take	VERB
cana-949	140	15	values	value	NOUN
cana-949	140	16	from	from	ADP
cana-949	140	17	1	1	NUM
cana-949	140	18	to	to	PART
cana-949	140	19	n.	n.	VERB
cana-949	140	20	similarly	similarly	ADV
cana-949	140	21	,	,	PUNCT
cana-949	140	22	constraint	constraint	NOUN
cana-949	140	23	(	(	PUNCT
cana-949	140	24	12	12	NUM
cana-949	140	25	)	)	PUNCT
cana-949	140	26	to	to	ADP
cana-949	140	27	(	(	PUNCT
cana-949	140	28	14	14	NUM
cana-949	140	29	)	)	PUNCT
cana-949	140	30	represents	represent	VERB
cana-949	140	31	required	require	VERB
cana-949	140	32	conveyance	conveyance	NOUN
cana-949	140	33	capacity	capacity	NOUN
cana-949	140	34	for	for	ADP
cana-949	140	35	k	k	PROPN
cana-949	140	36	modes	mode	NOUN
cana-949	140	37	of	of	ADP
cana-949	140	38	transportation	transportation	NOUN
cana-949	140	39	either	either	CCONJ
cana-949	140	40	be	be	AUX
cana-949	140	41	exactly	exactly	ADV
cana-949	140	42	𝑒𝑘	𝑒𝑘	PRON
cana-949	140	43	units	unit	NOUN
cana-949	140	44	,	,	PUNCT
cana-949	140	45	at	at	ADP
cana-949	140	46	least	least	ADJ
cana-949	140	47	𝑒𝑘	𝑒𝑘	PRON
cana-949	140	48	units	unit	NOUN
cana-949	140	49	,	,	PUNCT
cana-949	140	50	communications	communication	NOUN
cana-949	140	51	on	on	ADP
cana-949	140	52	applied	apply	VERB
cana-949	140	53	nonlinear	nonlinear	ADJ
cana-949	140	54	analysis	analysis	NOUN
cana-949	140	55	issn	issn	NOUN
cana-949	140	56	:	:	PUNCT
cana-949	140	57	1074	1074	NUM
cana-949	140	58	-	-	PUNCT
cana-949	140	59	133x	133x	NUM
cana-949	140	60	vol	vol	NOUN
cana-949	140	61	31	31	NUM
cana-949	140	62	no	no	NOUN
cana-949	140	63	.	.	PUNCT
cana-949	141	1	4s	4s	NUM
cana-949	141	2	(	(	PUNCT
cana-949	141	3	2024	2024	NUM
cana-949	141	4	)	)	PUNCT
cana-949	141	5	546	546	NUM
cana-949	141	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	141	7	or	or	CCONJ
cana-949	141	8	at	at	ADP
cana-949	141	9	most	most	ADJ
cana-949	141	10	𝑒𝑘	𝑒𝑘	PRON
cana-949	141	11	units	unit	NOUN
cana-949	141	12	.	.	PUNCT
cana-949	142	1	here	here	ADV
cana-949	142	2	are	be	AUX
cana-949	142	3	partitions	partition	NOUN
cana-949	142	4	of	of	ADP
cana-949	142	5	k	k	NOUN
cana-949	142	6	,	,	PUNCT
cana-949	142	7	where	where	SCONJ
cana-949	142	8	k	k	PROPN
cana-949	142	9	takes	take	VERB
cana-949	142	10	values	value	NOUN
cana-949	142	11	from	from	ADP
cana-949	142	12	1	1	NUM
cana-949	142	13	to	to	ADP
cana-949	142	14	l.	l.	PROPN
cana-949	142	15	fuzzy	fuzzy	ADJ
cana-949	142	16	transportation	transportation	NOUN
cana-949	142	17	cost	cost	NOUN
cana-949	142	18	for	for	ADP
cana-949	142	19	transportation	transportation	NOUN
cana-949	142	20	of	of	ADP
cana-949	142	21	goods	good	NOUN
cana-949	142	22	from	from	ADP
cana-949	142	23	i	i	PRON
cana-949	142	24	origins	origin	NOUN
cana-949	142	25	to	to	ADP
cana-949	142	26	j	j	PROPN
cana-949	142	27	destinations	destination	NOUN
cana-949	142	28	,	,	PUNCT
cana-949	142	29	represented	represent	VERB
cana-949	142	30	as	as	ADP
cana-949	142	31	�	�	PROPN
cana-949	142	32	̃	̃	PROPN
cana-949	142	33	�	�	NOUN
cana-949	142	34	𝑖𝑗𝑘.	𝑖𝑗𝑘.	NOUN
cana-949	142	35	in	in	ADP
cana-949	142	36	order	order	NOUN
cana-949	142	37	to	to	PART
cana-949	142	38	satisfy	satisfy	VERB
cana-949	142	39	mixed	mixed	ADJ
cana-949	142	40	type	type	NOUN
cana-949	142	41	of	of	ADP
cana-949	142	42	constraints	constraint	NOUN
cana-949	142	43	such	such	ADJ
cana-949	142	44	as	as	ADP
cana-949	142	45	supply	supply	NOUN
cana-949	142	46	and	and	CCONJ
cana-949	142	47	demand	demand	NOUN
cana-949	142	48	,	,	PUNCT
cana-949	142	49	the	the	DET
cana-949	142	50	goal	goal	NOUN
cana-949	142	51	is	be	AUX
cana-949	142	52	to	to	PART
cana-949	142	53	characterise	characterise	VERB
cana-949	142	54	the	the	DET
cana-949	142	55	quantity	quantity	NOUN
cana-949	142	56	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	142	57	delivered	deliver	VERB
cana-949	142	58	from	from	ADP
cana-949	142	59	i	i	PROPN
cana-949	142	60	origin	origin	NOUN
cana-949	142	61	to	to	ADP
cana-949	142	62	destination	destination	NOUN
cana-949	142	63	j	j	PROPN
cana-949	142	64	while	while	SCONJ
cana-949	142	65	reducing	reduce	VERB
cana-949	142	66	the	the	DET
cana-949	142	67	total	total	ADJ
cana-949	142	68	transportation	transportation	NOUN
cana-949	142	69	cost	cost	NOUN
cana-949	142	70	.	.	PUNCT
cana-949	143	1	in	in	ADP
cana-949	143	2	three	three	NUM
cana-949	143	3	cases	case	NOUN
cana-949	143	4	we	we	PRON
cana-949	143	5	consider	consider	VERB
cana-949	143	6	only	only	ADV
cana-949	143	7	one	one	NUM
cana-949	143	8	random	random	ADJ
cana-949	143	9	variable	variable	NOUN
cana-949	143	10	as	as	ADP
cana-949	143	11	uncertain	uncertain	ADJ
cana-949	143	12	among	among	ADP
cana-949	143	13	𝑎𝑖	𝑎𝑖	PROPN
cana-949	143	14	,	,	PUNCT
cana-949	143	15	𝑏𝑗	𝑏𝑗	PROPN
cana-949	143	16	and	and	CCONJ
cana-949	143	17	𝑒𝑘.	𝑒𝑘.	PROPN
cana-949	143	18	in	in	ADP
cana-949	143	19	fourth	fourth	ADJ
cana-949	143	20	case	case	NOUN
cana-949	143	21	we	we	PRON
cana-949	143	22	consider	consider	VERB
cana-949	143	23	all	all	DET
cana-949	143	24	these	these	DET
cana-949	143	25	random	random	ADJ
cana-949	143	26	variables	variable	NOUN
cana-949	143	27	(	(	PUNCT
cana-949	143	28	𝑎𝑖	𝑎𝑖	PROPN
cana-949	143	29	,	,	PUNCT
cana-949	143	30	𝑏𝑗	𝑏𝑗	PROPN
cana-949	143	31	and	and	CCONJ
cana-949	143	32	𝑒𝑘	𝑒𝑘	PRON
cana-949	143	33	)	)	PUNCT
cana-949	143	34	are	be	AUX
cana-949	143	35	uncertain	uncertain	ADJ
cana-949	143	36	.	.	PUNCT
cana-949	144	1	4.2.1	4.2.1	NUM
cana-949	144	2	.	.	PUNCT
cana-949	144	3	case	case	NOUN
cana-949	145	1	i	i	PRON
cana-949	145	2	:	:	PUNCT
cana-949	145	3	only	only	ADV
cana-949	145	4	𝒂𝒊	𝒂𝒊	PROPN
cana-949	145	5	(	(	PUNCT
cana-949	145	6	i	i	PRON
cana-949	145	7	is	be	AUX
cana-949	145	8	equal	equal	ADJ
cana-949	145	9	to	to	ADP
cana-949	145	10	1	1	NUM
cana-949	145	11	to	to	ADP
cana-949	145	12	m	m	PROPN
cana-949	145	13	)	)	PUNCT
cana-949	145	14	is	be	AUX
cana-949	145	15	uncertain	uncertain	ADJ
cana-949	145	16	(	(	PUNCT
cana-949	145	17	i	i	NOUN
cana-949	145	18	)	)	PUNCT
cana-949	145	19	here	here	ADV
cana-949	145	20	proof	proof	NOUN
cana-949	145	21	for	for	ADP
cana-949	145	22	𝑃(∑	𝑃(∑	PROPN
cana-949	145	23	∑	∑	PROPN
cana-949	145	24	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	145	25	𝑙	𝑙	PROPN
cana-949	145	26	𝑘=1	𝑘=1	X
cana-949	145	27	𝑛	𝑛	PROPN
cana-949	145	28	𝑗=1	𝑗=1	PROPN
cana-949	145	29	≥	≥	NOUN
cana-949	145	30	𝑎𝑖	𝑎𝑖	NUM
cana-949	145	31	)	)	PUNCT
cana-949	145	32	≥	≥	NOUN
cana-949	145	33	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	145	34	,	,	PUNCT
cana-949	145	35	𝑖	𝑖	SYM
cana-949	145	36	∈	∈	NOUN
cana-949	145	37	𝑟1	𝑟1	NOUN
cana-949	145	38	shown	show	VERB
cana-949	145	39	as	as	SCONJ
cana-949	145	40	follows	follow	VERB
cana-949	145	41	.	.	PUNCT
cana-949	146	1	it	it	PRON
cana-949	146	2	is	be	AUX
cana-949	146	3	considered	consider	VERB
cana-949	146	4	that	that	SCONJ
cana-949	146	5	independent	independent	ADJ
cana-949	146	6	random	random	ADJ
cana-949	146	7	variable	variable	NOUN
cana-949	146	8	𝑎𝑖	𝑎𝑖	PRON
cana-949	146	9	follows	follow	VERB
cana-949	146	10	the	the	DET
cana-949	146	11	wd	wd	PROPN
cana-949	146	12	along	along	ADP
cana-949	146	13	with	with	ADP
cana-949	146	14	three	three	NUM
cana-949	146	15	parameters	parameter	NOUN
cana-949	146	16	ia	ia	PRON
cana-949	146	17	,	,	PUNCT
cana-949	146	18	ia	ia	NOUN
cana-949	146	19	,	,	PUNCT
cana-949	146	20	and	and	CCONJ
cana-949	146	21	ia	ia	VERB
cana-949	146	22	.	.	PUNCT
cana-949	147	1	equation	equation	NOUN
cana-949	147	2	(	(	PUNCT
cana-949	147	3	6	6	NUM
cana-949	147	4	)	)	PUNCT
cana-949	147	5	can	can	AUX
cana-949	147	6	be	be	AUX
cana-949	147	7	reconstructed	reconstruct	VERB
cana-949	147	8	as	as	ADP
cana-949	147	9	1	1	NUM
cana-949	147	10	1	1	NUM
cana-949	147	11	(	(	PUNCT
cana-949	147	12	)	)	PUNCT
cana-949	147	13	i	i	PRON
cana-949	147	14	n	n	VERB
cana-949	147	15	l	l	NOUN
cana-949	148	1	i	i	PRON
cana-949	148	2	ijk	ijk	PROPN
cana-949	149	1	a	a	DET
cana-949	149	2	j	j	PROPN
cana-949	149	3	k	k	PROPN
cana-949	149	4	p	p	X
cana-949	149	5	a	a	X
cana-949	149	6	x	x	X
cana-949	149	7	p	p	X
cana-949	149	8	=	=	SYM
cana-949	149	9	=	=	SYM
cana-949	149	10			PROPN
cana-949	149	11			NOUN
cana-949	149	12	,	,	PUNCT
cana-949	149	13	𝑖	𝑖	NOUN
cana-949	149	14	=	=	SYM
cana-949	149	15	𝑟1	𝑟1	NOUN
cana-949	149	16	.	.	PUNCT
cana-949	150	1	(	(	PUNCT
cana-949	150	2	16	16	NUM
cana-949	150	3	)	)	PUNCT
cana-949	150	4	assuming	assume	VERB
cana-949	150	5	that	that	SCONJ
cana-949	150	6	1	1	NUM
cana-949	150	7	1	1	NUM
cana-949	150	8	,	,	PUNCT
cana-949	150	9	i	i	PRON
cana-949	150	10	n	n	VERB
cana-949	150	11	l	l	NOUN
cana-949	150	12	ijk	ijk	X
cana-949	151	1	a	a	DET
cana-949	151	2	j	j	PROPN
cana-949	151	3	k	k	NOUN
cana-949	151	4	x	x	PUNCT
cana-949	151	5			NOUN
cana-949	151	6	=	=	SYM
cana-949	151	7	=	=	PUNCT
cana-949	151	8	=	=	NOUN
cana-949	151	9			PRON
cana-949	151	10	equation	equation	NOUN
cana-949	151	11	(	(	PUNCT
cana-949	151	12	16	16	NUM
cana-949	151	13	)	)	PUNCT
cana-949	151	14	can	can	AUX
cana-949	151	15	be	be	AUX
cana-949	151	16	represented	represent	VERB
cana-949	151	17	as	as	ADP
cana-949	151	18	(	(	PUNCT
cana-949	151	19	)	)	PUNCT
cana-949	151	20	,	,	PUNCT
cana-949	151	21	i	i	PRON
cana-949	151	22	ii	ii	VERB
cana-949	151	23	a	a	DET
cana-949	151	24	ap	ap	PROPN
cana-949	151	25	a	a	DET
cana-949	151	26	p	p	PROPN
cana-949	151	27			NUM
cana-949	151	28	1i	1i	NOUN
cana-949	151	29	,	,	PUNCT
cana-949	151	30	r	r	ADJ
cana-949	151	31	for	for	ADP
cana-949	151	32	probability	probability	NOUN
cana-949	151	33	function	function	NOUN
cana-949	151	34	we	we	PRON
cana-949	151	35	use	use	VERB
cana-949	151	36	weibull	weibull	NOUN
cana-949	151	37	distribution	distribution	NOUN
cana-949	151	38	which	which	PRON
cana-949	151	39	can	can	AUX
cana-949	151	40	be	be	AUX
cana-949	151	41	written	write	VERB
cana-949	151	42	as	as	ADP
cana-949	151	43	∫	∫	PROPN
cana-949	151	44	𝛿𝑎𝑖	𝛿𝑎𝑖	NUM
cana-949	151	45	𝛾𝑎𝑖	𝛾𝑎𝑖	NOUN
cana-949	151	46	𝜉𝑎𝑖	𝜉𝑎𝑖	NOUN
cana-949	151	47	−∞	−∞	X
cana-949	151	48	(	(	PUNCT
cana-949	151	49	𝑎𝑖−𝛽𝑎𝑖	𝑎𝑖−𝛽𝑎𝑖	PROPN
cana-949	151	50	𝛾𝑎𝑖	𝛾𝑎𝑖	NOUN
cana-949	151	51	)	)	PUNCT
cana-949	151	52	𝛿𝑎𝑖−1	𝛿𝑎𝑖−1	PROPN
cana-949	151	53	𝑒	𝑒	PROPN
cana-949	151	54	{	{	PUNCT
cana-949	151	55	−	−	PROPN
cana-949	151	56	(	(	PUNCT
cana-949	151	57	𝑎𝑖−𝛽𝑎𝑖	𝑎𝑖−𝛽𝑎𝑖	PROPN
cana-949	151	58	𝛾𝑎𝑖	𝛾𝑎𝑖	NOUN
cana-949	151	59	)	)	PUNCT
cana-949	151	60	𝛿𝑎𝑖	𝛿𝑎𝑖	PROPN
cana-949	151	61	}	}	PUNCT
cana-949	151	62	𝑑𝑎𝑖	𝑑𝑎𝑖	X
cana-949	151	63	≥	≥	NUM
cana-949	151	64	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	151	65	,	,	PUNCT
cana-949	151	66	𝑖	𝑖	SYM
cana-949	151	67	∈	∈	PROPN
cana-949	151	68	𝑟1	𝑟1	NOUN
cana-949	151	69	(	(	PUNCT
cana-949	151	70	17	17	NUM
cana-949	151	71	)	)	PUNCT
cana-949	151	72	simultaneously	simultaneously	ADV
cana-949	151	73	,	,	PUNCT
cana-949	151	74	𝛽𝑎𝑖	𝛽𝑎𝑖	VERB
cana-949	151	75	≤	≤	PROPN
cana-949	151	76	𝑎𝑖	𝑎𝑖	PROPN
cana-949	151	77	,	,	PUNCT
cana-949	151	78	𝑖	𝑖	PROPN
cana-949	151	79	∈	∈	PROPN
cana-949	151	80	𝑟1	𝑟1	NOUN
cana-949	151	81	,	,	PUNCT
cana-949	151	82	equation	equation	NOUN
cana-949	151	83	(	(	PUNCT
cana-949	151	84	17	17	NUM
cana-949	151	85	)	)	PUNCT
cana-949	151	86	’s	’s	PART
cana-949	151	87	integration	integration	NOUN
cana-949	151	88	yields	yield	VERB
cana-949	151	89	the	the	DET
cana-949	151	90	following	follow	VERB
cana-949	151	91	form	form	NOUN
cana-949	151	92	:	:	PUNCT
cana-949	151	93	∫	∫	PROPN
cana-949	152	1	𝛿𝑎𝑖	𝛿𝑎𝑖	PROPN
cana-949	152	2	𝛾𝑎𝑖	𝛾𝑎𝑖	NOUN
cana-949	152	3	𝜉𝑎𝑖	𝜉𝑎𝑖	NOUN
cana-949	152	4	𝛽𝑎𝑖	𝛽𝑎𝑖	PROPN
cana-949	152	5	(	(	PUNCT
cana-949	152	6	𝑎𝑖−𝛽𝑎𝑖	𝑎𝑖−𝛽𝑎𝑖	PROPN
cana-949	152	7	𝛾𝑎𝑖	𝛾𝑎𝑖	NOUN
cana-949	152	8	)	)	PUNCT
cana-949	153	1	𝛿𝑎𝑖−1	𝛿𝑎𝑖−1	PROPN
cana-949	153	2	𝑒	𝑒	PROPN
cana-949	153	3	{	{	PUNCT
cana-949	153	4	−	−	PROPN
cana-949	153	5	(	(	PUNCT
cana-949	153	6	𝑎𝑖−𝛽𝑎𝑖	𝑎𝑖−𝛽𝑎𝑖	PROPN
cana-949	153	7	𝛾𝑎𝑖	𝛾𝑎𝑖	NOUN
cana-949	153	8	)	)	PUNCT
cana-949	153	9	𝛿𝑎𝑖	𝛿𝑎𝑖	PROPN
cana-949	153	10	}	}	PUNCT
cana-949	153	11	𝑑𝑎𝑖	𝑑𝑎𝑖	X
cana-949	153	12	≥	≥	NUM
cana-949	153	13	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	153	14	,	,	PUNCT
cana-949	153	15	𝑖	𝑖	SYM
cana-949	153	16	∈	∈	PROPN
cana-949	153	17	𝑟1	𝑟1	NOUN
cana-949	153	18	(	(	PUNCT
cana-949	153	19	18	18	NUM
cana-949	153	20	)	)	PUNCT
cana-949	153	21	after	after	ADP
cana-949	153	22	solving	solve	VERB
cana-949	153	23	equation	equation	NOUN
cana-949	153	24	(	(	PUNCT
cana-949	153	25	18	18	NUM
cana-949	153	26	)	)	PUNCT
cana-949	153	27	,	,	PUNCT
cana-949	153	28	we	we	PRON
cana-949	153	29	get	get	VERB
cana-949	153	30	1	1	NUM
cana-949	153	31	−	−	NOUN
cana-949	153	32	𝑒	𝑒	X
cana-949	153	33	{	{	PUNCT
cana-949	153	34	−	−	NOUN
cana-949	153	35	(	(	PUNCT
cana-949	153	36	𝜉𝑎𝑖	𝜉𝑎𝑖	NOUN
cana-949	153	37	−𝛽𝑎𝑖	−𝛽𝑎𝑖	NOUN
cana-949	153	38	𝛾𝑎𝑖	𝛾𝑎𝑖	NOUN
cana-949	153	39	)	)	PUNCT
cana-949	153	40	𝛿𝑎𝑖	𝛿𝑎𝑖	PROPN
cana-949	153	41	}	}	PUNCT
cana-949	153	42	≥	≥	NOUN
cana-949	153	43	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	153	44	.	.	PUNCT
cana-949	154	1	(	(	PUNCT
cana-949	154	2	19	19	NUM
cana-949	154	3	)	)	PUNCT
cana-949	154	4	logarithm	logarithm	NOUN
cana-949	154	5	applied	apply	VERB
cana-949	154	6	on	on	ADP
cana-949	154	7	equation	equation	NOUN
cana-949	154	8	(	(	PUNCT
cana-949	154	9	19	19	NUM
cana-949	154	10	)	)	PUNCT
cana-949	154	11	then	then	ADV
cana-949	154	12	we	we	PRON
cana-949	154	13	get	get	VERB
cana-949	154	14	,	,	PUNCT
cana-949	154	15	𝜉𝑎𝑖	𝜉𝑎𝑖	VERB
cana-949	154	16	≥	≥	PRON
cana-949	154	17	𝛽𝑎𝑖	𝛽𝑎𝑖	VERB
cana-949	155	1	+	+	CCONJ
cana-949	155	2	𝛾𝑎𝑖{−	𝛾𝑎𝑖{−	PUNCT
cana-949	156	1	ln(1	ln(1	PROPN
cana-949	156	2	−	−	PROPN
cana-949	156	3	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	156	4	)	)	PUNCT
cana-949	156	5	}	}	PUNCT
cana-949	156	6	1	1	NUM
cana-949	156	7	𝛿𝑎𝑖	𝛿𝑎𝑖	NOUN
cana-949	156	8	,	,	PUNCT
cana-949	156	9	𝑖	𝑖	PROPN
cana-949	156	10	∈	∈	PROPN
cana-949	156	11	𝑟1	𝑟1	NOUN
cana-949	156	12	.	.	PUNCT
cana-949	157	1	then	then	ADV
cana-949	157	2	,	,	PUNCT
cana-949	157	3	this	this	PRON
cana-949	157	4	can	can	AUX
cana-949	157	5	be	be	AUX
cana-949	157	6	expressed	express	VERB
cana-949	157	7	as	as	ADP
cana-949	157	8	deterministic	deterministic	ADJ
cana-949	157	9	constraint	constraint	NOUN
cana-949	157	10	:	:	PUNCT
cana-949	157	11	∑	∑	ADP
cana-949	157	12	∑	∑	PUNCT
cana-949	157	13	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	157	14	𝑙	𝑙	PROPN
cana-949	157	15	𝑘=1	𝑘=1	X
cana-949	157	16	𝑛	𝑛	PRON
cana-949	157	17	𝑗=1	𝑗=1	PROPN
cana-949	158	1	≥	≥	PRON
cana-949	158	2	𝛽𝑎𝑖	𝛽𝑎𝑖	NOUN
cana-949	158	3	+	+	CCONJ
cana-949	158	4	𝛾𝑎𝑖{−	𝛾𝑎𝑖{−	PUNCT
cana-949	159	1	ln(1	ln(1	PROPN
cana-949	159	2	−	−	PROPN
cana-949	159	3	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	159	4	)	)	PUNCT
cana-949	159	5	}	}	PUNCT
cana-949	159	6	1	1	NUM
cana-949	159	7	𝛿𝑎𝑖	𝛿𝑎𝑖	NOUN
cana-949	159	8	,	,	PUNCT
cana-949	159	9	𝑖	𝑖	SYM
cana-949	159	10	∈	∈	PROPN
cana-949	159	11	𝑟1	𝑟1	NOUN
cana-949	159	12	.	.	PUNCT
cana-949	160	1	here	here	ADV
cana-949	160	2	proof	proof	NOUN
cana-949	160	3	of	of	ADP
cana-949	160	4	𝑃(∑	𝑃(∑	PROPN
cana-949	160	5	∑	∑	PROPN
cana-949	160	6	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	160	7	𝑙	𝑙	PROPN
cana-949	160	8	𝑘=1	𝑘=1	X
cana-949	160	9	𝑛	𝑛	PRON
cana-949	160	10	𝑗=1	𝑗=1	PROPN
cana-949	160	11	≤	≤	NUM
cana-949	160	12	𝑎𝑖	𝑎𝑖	PROPN
cana-949	160	13	)	)	PUNCT
cana-949	160	14	≥	≥	NOUN
cana-949	160	15	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	160	16	,	,	PUNCT
cana-949	160	17	𝑖	𝑖	SYM
cana-949	160	18	=	=	SYM
cana-949	160	19	𝑟3	𝑟3	NOUN
cana-949	160	20	,	,	PUNCT
cana-949	160	21	1	1	NUM
cana-949	160	22	2	2	NUM
cana-949	160	23	(	(	PUNCT
cana-949	160	24	1	1	NUM
cana-949	160	25	,	,	PUNCT
cana-949	160	26	2	2	NUM
cana-949	160	27	,	,	PUNCT
cana-949	160	28	...	...	PUNCT
cana-949	160	29	,	,	PUNCT
cana-949	160	30	)	)	PUNCT
cana-949	161	1	i	i	PRON
cana-949	161	2	m	m	VERB
cana-949	161	3	m	m	AUX
cana-949	161	4	m=	m=	VERB
cana-949	161	5	+	+	CCONJ
cana-949	162	1	+	+	CCONJ
cana-949	162	2	for	for	ADP
cana-949	162	3	obtaining	obtain	VERB
cana-949	162	4	the	the	DET
cana-949	162	5	deterministic	deterministic	ADJ
cana-949	162	6	values	value	NOUN
cana-949	162	7	from	from	ADP
cana-949	162	8	probabilistic	probabilistic	ADJ
cana-949	162	9	values	value	NOUN
cana-949	162	10	through	through	ADP
cana-949	162	11	utilizing	utilize	VERB
cana-949	162	12	weibull	weibull	NOUN
cana-949	162	13	distribution	distribution	NOUN
cana-949	162	14	was	be	AUX
cana-949	162	15	obtained	obtain	VERB
cana-949	162	16	in	in	ADP
cana-949	162	17	[	[	X
cana-949	162	18	18	18	NUM
cana-949	162	19	]	]	PUNCT
cana-949	162	20	.	.	PUNCT
cana-949	163	1	communications	communication	NOUN
cana-949	163	2	on	on	ADP
cana-949	163	3	applied	apply	VERB
cana-949	163	4	nonlinear	nonlinear	ADJ
cana-949	163	5	analysis	analysis	NOUN
cana-949	163	6	issn	issn	NOUN
cana-949	163	7	:	:	PUNCT
cana-949	163	8	1074	1074	NUM
cana-949	163	9	-	-	PUNCT
cana-949	163	10	133x	133x	NUM
cana-949	163	11	vol	vol	NOUN
cana-949	163	12	31	31	NUM
cana-949	163	13	no	no	NOUN
cana-949	163	14	.	.	PUNCT
cana-949	164	1	4s	4s	NUM
cana-949	164	2	(	(	PUNCT
cana-949	164	3	2024	2024	NUM
cana-949	164	4	)	)	PUNCT
cana-949	164	5	547	547	NUM
cana-949	164	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	164	7	4.2.2	4.2.2	X
cana-949	164	8	.	.	PUNCT
cana-949	165	1	case	case	NOUN
cana-949	165	2	ii	ii	PROPN
cana-949	165	3	:	:	PUNCT
cana-949	165	4	only	only	ADV
cana-949	165	5	𝒃𝒋	𝒃𝒋	ADP
cana-949	165	6	(	(	PUNCT
cana-949	165	7	i	i	PRON
cana-949	165	8	is	be	AUX
cana-949	165	9	equal	equal	ADJ
cana-949	165	10	to	to	ADP
cana-949	165	11	1	1	NUM
cana-949	165	12	to	to	ADP
cana-949	165	13	n	n	CCONJ
cana-949	165	14	)	)	PUNCT
cana-949	165	15	is	be	AUX
cana-949	165	16	uncertain	uncertain	ADJ
cana-949	165	17	(	(	PUNCT
cana-949	165	18	i	i	NOUN
cana-949	165	19	)	)	PUNCT
cana-949	165	20	proof	proof	NOUN
cana-949	165	21	of	of	ADP
cana-949	165	22	𝑃(∑	𝑃(∑	PROPN
cana-949	165	23	∑	∑	PROPN
cana-949	165	24	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	165	25	𝑙	𝑙	PROPN
cana-949	165	26	𝑘=1	𝑘=1	X
cana-949	165	27	𝑚	𝑚	X
cana-949	165	28	𝑖=1	𝑖=1	PROPN
cana-949	165	29	≥	≥	PROPN
cana-949	165	30	𝑏𝑗	𝑏𝑗	NOUN
cana-949	165	31	)	)	PUNCT
cana-949	165	32	≥	≥	NOUN
cana-949	165	33	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	165	34	,	,	PUNCT
cana-949	165	35	𝑗	𝑗	PROPN
cana-949	165	36	∈	∈	PROPN
cana-949	165	37	𝑞1	𝑞1	NOUN
cana-949	165	38	,	,	PUNCT
cana-949	165	39	(	(	PUNCT
cana-949	165	40	𝑗	𝑗	NOUN
cana-949	165	41	=	=	SYM
cana-949	165	42	1	1	NUM
cana-949	165	43	,	,	PUNCT
cana-949	165	44	2	2	NUM
cana-949	165	45	,	,	PUNCT
cana-949	165	46	3	3	NUM
cana-949	165	47	,	,	PUNCT
cana-949	165	48	…	…	PUNCT
cana-949	165	49	,	,	PUNCT
cana-949	165	50	𝑛	𝑛	X
cana-949	165	51	)	)	PUNCT
cana-949	165	52	for	for	ADP
cana-949	165	53	obtaining	obtain	VERB
cana-949	165	54	the	the	DET
cana-949	165	55	deterministic	deterministic	ADJ
cana-949	165	56	values	value	NOUN
cana-949	165	57	from	from	ADP
cana-949	165	58	probabilistic	probabilistic	ADJ
cana-949	165	59	values	value	NOUN
cana-949	165	60	through	through	ADP
cana-949	165	61	utilizing	utilize	VERB
cana-949	165	62	weibull	weibull	NOUN
cana-949	165	63	distribution	distribution	NOUN
cana-949	165	64	was	be	AUX
cana-949	165	65	obtained	obtain	VERB
cana-949	165	66	in	in	ADP
cana-949	165	67	[	[	X
cana-949	165	68	18	18	NUM
cana-949	165	69	]	]	PUNCT
cana-949	165	70	.	.	PUNCT
cana-949	166	1	(	(	PUNCT
cana-949	166	2	ii	ii	NOUN
cana-949	166	3	)	)	PUNCT
cana-949	166	4	proof	proof	NOUN
cana-949	166	5	of	of	ADP
cana-949	166	6	𝑃(∑	𝑃(∑	PROPN
cana-949	166	7	∑	∑	PROPN
cana-949	166	8	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	166	9	𝑙	𝑙	PROPN
cana-949	166	10	𝑘=1	𝑘=1	X
cana-949	166	11	𝑚	𝑚	X
cana-949	166	12	𝑖=1	𝑖=1	PROPN
cana-949	166	13	≤	≤	NUM
cana-949	166	14	𝑏𝑗	𝑏𝑗	NOUN
cana-949	166	15	)	)	PUNCT
cana-949	166	16	≥	≥	NOUN
cana-949	166	17	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	166	18	,	,	PUNCT
cana-949	166	19	𝑗	𝑗	PROPN
cana-949	166	20	∈	∈	PROPN
cana-949	166	21	𝑞3	𝑞3	NOUN
cana-949	166	22	,	,	PUNCT
cana-949	166	23	shows	show	VERB
cana-949	166	24	as	as	ADP
cana-949	166	25	below	below	ADP
cana-949	166	26	it	it	PRON
cana-949	166	27	is	be	AUX
cana-949	166	28	considered	consider	VERB
cana-949	166	29	that	that	SCONJ
cana-949	166	30	independent	independent	ADJ
cana-949	166	31	random	random	ADJ
cana-949	166	32	variable	variable	NOUN
cana-949	166	33	𝑏𝑗	𝑏𝑗	PROPN
cana-949	166	34	follows	follow	VERB
cana-949	166	35	the	the	DET
cana-949	166	36	wd	wd	PROPN
cana-949	166	37	along	along	ADP
cana-949	166	38	with	with	ADP
cana-949	166	39	three	three	NUM
cana-949	166	40	parameters	parameter	NOUN
cana-949	166	41	jb	jb	X
cana-949	166	42	,	,	PUNCT
cana-949	166	43	jb	jb	PROPN
cana-949	166	44	,	,	PUNCT
cana-949	166	45	and	and	CCONJ
cana-949	166	46	jb	jb	NOUN
cana-949	166	47	.	.	PUNCT
cana-949	167	1	equation	equation	NOUN
cana-949	167	2	(	(	PUNCT
cana-949	167	3	11	11	NUM
cana-949	167	4	)	)	PUNCT
cana-949	167	5	can	can	AUX
cana-949	167	6	be	be	AUX
cana-949	167	7	reconstructed	reconstruct	VERB
cana-949	167	8	as	as	ADP
cana-949	167	9	1	1	NUM
cana-949	167	10	1	1	NUM
cana-949	167	11	(	(	PUNCT
cana-949	167	12	b	b	NOUN
cana-949	167	13	)	)	PUNCT
cana-949	167	14	j	j	PROPN
cana-949	167	15	m	m	VERB
cana-949	167	16	l	l	PROPN
cana-949	168	1	j	j	PROPN
cana-949	168	2	ijk	ijk	PROPN
cana-949	168	3	b	b	PROPN
cana-949	169	1	i	i	PRON
cana-949	169	2	k	k	PROPN
cana-949	170	1	p	p	X
cana-949	170	2	x	x	X
cana-949	170	3	p	p	X
cana-949	170	4	=	=	X
cana-949	170	5	=	=	SYM
cana-949	170	6			NUM
cana-949	170	7			NOUN
cana-949	170	8	,	,	PUNCT
cana-949	170	9	𝑗	𝑗	NOUN
cana-949	170	10	=	=	PUNCT
cana-949	170	11	𝑞3	𝑞3	PROPN
cana-949	170	12	.	.	PUNCT
cana-949	171	1	(	(	PUNCT
cana-949	171	2	20	20	NUM
cana-949	171	3	)	)	PUNCT
cana-949	171	4	assuming	assume	VERB
cana-949	171	5	that	that	SCONJ
cana-949	171	6	1	1	NUM
cana-949	171	7	1	1	NUM
cana-949	171	8	,	,	PUNCT
cana-949	171	9	j	j	PROPN
cana-949	171	10	m	m	PROPN
cana-949	171	11	l	l	PROPN
cana-949	171	12	ijk	ijk	PROPN
cana-949	171	13	b	b	PROPN
cana-949	172	1	i	i	NOUN
cana-949	172	2	k	k	NOUN
cana-949	172	3	x	x	PUNCT
cana-949	172	4			X
cana-949	172	5	=	=	SYM
cana-949	172	6	=	=	PUNCT
cana-949	173	1	=	=	NOUN
cana-949	173	2			PRON
cana-949	173	3	equation	equation	NOUN
cana-949	173	4	(	(	PUNCT
cana-949	173	5	20	20	NUM
cana-949	173	6	)	)	PUNCT
cana-949	173	7	can	can	AUX
cana-949	173	8	be	be	AUX
cana-949	173	9	represented	represent	VERB
cana-949	173	10	as	as	ADP
cana-949	173	11	(	(	PUNCT
cana-949	173	12	b	b	NOUN
cana-949	173	13	)	)	PUNCT
cana-949	173	14	,	,	PUNCT
cana-949	173	15	j	j	PROPN
cana-949	173	16	jj	jj	PROPN
cana-949	173	17	b	b	PROPN
cana-949	173	18	bp	bp	PROPN
cana-949	173	19	p	p	VERB
cana-949	173	20			NUM
cana-949	173	21	3	3	NUM
cana-949	173	22	,	,	PUNCT
cana-949	173	23	j	j	PROPN
cana-949	173	24	q	q	NOUN
cana-949	173	25	for	for	ADP
cana-949	173	26	probability	probability	NOUN
cana-949	173	27	function	function	NOUN
cana-949	173	28	we	we	PRON
cana-949	173	29	use	use	VERB
cana-949	173	30	weibull	weibull	NOUN
cana-949	173	31	distribution	distribution	NOUN
cana-949	173	32	which	which	PRON
cana-949	173	33	can	can	AUX
cana-949	173	34	be	be	AUX
cana-949	173	35	written	write	VERB
cana-949	173	36	as	as	ADP
cana-949	173	37	∫	∫	PROPN
cana-949	173	38	𝛿𝑏𝑗	𝛿𝑏𝑗	PROPN
cana-949	173	39	𝛾𝑏𝑗	𝛾𝑏𝑗	PROPN
cana-949	173	40	∞	∞	PROPN
cana-949	173	41	𝜉𝑏𝑗	𝜉𝑏𝑗	NOUN
cana-949	173	42	(	(	PUNCT
cana-949	173	43	𝑏𝑗−𝛽𝑏𝑗	𝑏𝑗−𝛽𝑏𝑗	NOUN
cana-949	173	44	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	173	45	)	)	PUNCT
cana-949	174	1	𝛿𝑏𝑗−1	𝛿𝑏𝑗−1	PROPN
cana-949	174	2	𝑒	𝑒	X
cana-949	174	3	{	{	PUNCT
cana-949	174	4	−	−	PROPN
cana-949	174	5	(	(	PUNCT
cana-949	174	6	𝑏𝑗−𝛽𝑏𝑗	𝑏𝑗−𝛽𝑏𝑗	NOUN
cana-949	174	7	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	174	8	)	)	PUNCT
cana-949	174	9	𝛿𝑏𝑗	𝛿𝑏𝑗	CCONJ
cana-949	174	10	}	}	PUNCT
cana-949	174	11	𝑑𝑏𝑗	𝑑𝑏𝑗	PROPN
cana-949	174	12	≥	≥	NOUN
cana-949	174	13	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	174	14	,	,	PUNCT
cana-949	174	15	𝑗	𝑗	PROPN
cana-949	174	16	∈	∈	PROPN
cana-949	174	17	𝑞3	𝑞3	NOUN
cana-949	174	18	(	(	PUNCT
cana-949	174	19	21	21	NUM
cana-949	174	20	)	)	PUNCT
cana-949	174	21	after	after	ADP
cana-949	174	22	solving	solve	VERB
cana-949	174	23	equation	equation	NOUN
cana-949	174	24	(	(	PUNCT
cana-949	174	25	21	21	NUM
cana-949	174	26	)	)	PUNCT
cana-949	174	27	,	,	PUNCT
cana-949	174	28	we	we	PRON
cana-949	174	29	get	get	VERB
cana-949	174	30	𝑒	𝑒	PROPN
cana-949	174	31	{	{	PUNCT
cana-949	174	32	−	−	NOUN
cana-949	174	33	(	(	PUNCT
cana-949	174	34	𝜉𝑏𝑗	𝜉𝑏𝑗	NOUN
cana-949	174	35	−𝛽𝑎𝑗	−𝛽𝑎𝑗	ADV
cana-949	174	36	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	174	37	)	)	PUNCT
cana-949	174	38	𝛿𝑏𝑗	𝛿𝑏𝑗	ADV
cana-949	174	39	}	}	PUNCT
cana-949	174	40	≥	≥	PROPN
cana-949	174	41	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	174	42	.	.	PUNCT
cana-949	175	1	(	(	PUNCT
cana-949	175	2	22	22	NUM
cana-949	175	3	)	)	PUNCT
cana-949	175	4	logarithm	logarithm	NOUN
cana-949	175	5	applied	apply	VERB
cana-949	175	6	on	on	ADP
cana-949	175	7	equation	equation	NOUN
cana-949	175	8	(	(	PUNCT
cana-949	175	9	22	22	NUM
cana-949	175	10	)	)	PUNCT
cana-949	175	11	then	then	ADV
cana-949	175	12	we	we	PRON
cana-949	175	13	get	get	VERB
cana-949	175	14	,	,	PUNCT
cana-949	175	15	𝜉𝑏𝑗	𝜉𝑏𝑗	NOUN
cana-949	175	16	≤	≤	NUM
cana-949	175	17	𝛽𝑏𝑗	𝛽𝑏𝑗	NOUN
cana-949	175	18	+	+	CCONJ
cana-949	175	19	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	175	20	{	{	PUNCT
cana-949	175	21	−	−	PROPN
cana-949	175	22	ln	ln	ADJ
cana-949	175	23	(	(	PUNCT
cana-949	175	24	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	175	25	)	)	PUNCT
cana-949	175	26	}	}	PUNCT
cana-949	175	27	1	1	NUM
cana-949	175	28	𝛿𝑏𝑗	𝛿𝑏𝑗	ADV
cana-949	175	29	,	,	PUNCT
cana-949	175	30	𝑗	𝑗	PROPN
cana-949	175	31	∈	∈	PROPN
cana-949	175	32	𝑞3	𝑞3	NOUN
cana-949	175	33	.	.	PUNCT
cana-949	176	1	then	then	ADV
cana-949	176	2	,	,	PUNCT
cana-949	176	3	this	this	PRON
cana-949	176	4	can	can	AUX
cana-949	176	5	be	be	AUX
cana-949	176	6	expressed	express	VERB
cana-949	176	7	as	as	ADP
cana-949	176	8	deterministic	deterministic	ADJ
cana-949	176	9	constraint	constraint	NOUN
cana-949	176	10	:	:	PUNCT
cana-949	176	11	∑	∑	ADP
cana-949	176	12	∑	∑	PUNCT
cana-949	176	13	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	176	14	𝑙	𝑙	PROPN
cana-949	176	15	𝑘=1	𝑘=1	X
cana-949	176	16	𝑚	𝑚	X
cana-949	176	17	𝑖=1	𝑖=1	PROPN
cana-949	176	18	≤	≤	X
cana-949	176	19	𝛽𝑏𝑗	𝛽𝑏𝑗	NOUN
cana-949	176	20	+	+	CCONJ
cana-949	176	21	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	176	22	{	{	PUNCT
cana-949	176	23	−	−	PROPN
cana-949	176	24	ln	ln	ADJ
cana-949	176	25	(	(	PUNCT
cana-949	176	26	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	176	27	)	)	PUNCT
cana-949	176	28	}	}	PUNCT
cana-949	176	29	1	1	NUM
cana-949	176	30	𝛿𝑏𝑗	𝛿𝑏𝑗	ADV
cana-949	176	31	,	,	PUNCT
cana-949	176	32	𝑗	𝑗	PROPN
cana-949	176	33	∈	∈	PROPN
cana-949	176	34	𝑞3	𝑞3	NOUN
cana-949	176	35	.	.	PUNCT
cana-949	177	1	4.2.3	4.2.3	X
cana-949	177	2	.	.	PUNCT
cana-949	178	1	case	case	NOUN
cana-949	178	2	iii	iii	PROPN
cana-949	178	3	:	:	PUNCT
cana-949	178	4	only	only	ADV
cana-949	178	5	𝒆𝒌	𝒆𝒌	NOUN
cana-949	178	6	(	(	PUNCT
cana-949	178	7	k	k	X
cana-949	178	8	is	be	AUX
cana-949	178	9	equal	equal	ADJ
cana-949	178	10	to	to	ADP
cana-949	178	11	1	1	NUM
cana-949	178	12	to	to	ADP
cana-949	178	13	l	l	NOUN
cana-949	178	14	)	)	PUNCT
cana-949	178	15	is	be	AUX
cana-949	178	16	uncertain	uncertain	ADJ
cana-949	178	17	(	(	PUNCT
cana-949	178	18	i	i	NOUN
cana-949	178	19	)	)	PUNCT
cana-949	178	20	proof	proof	NOUN
cana-949	178	21	of	of	ADP
cana-949	178	22	𝑃(∑	𝑃(∑	PROPN
cana-949	178	23	∑	∑	PROPN
cana-949	178	24	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	178	25	𝑛	𝑛	PRON
cana-949	178	26	𝑗=1	𝑗=1	PROPN
cana-949	178	27	𝑚	𝑚	ADP
cana-949	178	28	𝑖=1	𝑖=1	PROPN
cana-949	178	29	≥	≥	NUM
cana-949	178	30	𝑒𝑘	𝑒𝑘	NOUN
cana-949	178	31	)	)	PUNCT
cana-949	178	32	≥	≥	PRON
cana-949	179	1	𝑃𝑒𝑘	𝑃𝑒𝑘	VERB
cana-949	179	2	,	,	PUNCT
cana-949	179	3	𝑘	𝑘	DET
cana-949	179	4	∈	∈	PROPN
cana-949	179	5	𝑢1	𝑢1	NOUN
cana-949	179	6	shows	show	VERB
cana-949	179	7	as	as	ADP
cana-949	179	8	below	below	ADP
cana-949	179	9	it	it	PRON
cana-949	179	10	is	be	AUX
cana-949	179	11	considered	consider	VERB
cana-949	179	12	that	that	SCONJ
cana-949	179	13	independent	independent	ADJ
cana-949	179	14	random	random	ADJ
cana-949	179	15	variable	variable	NOUN
cana-949	179	16	𝑏𝑗	𝑏𝑗	PROPN
cana-949	179	17	follows	follow	VERB
cana-949	179	18	the	the	DET
cana-949	179	19	wd	wd	PROPN
cana-949	179	20	along	along	ADP
cana-949	179	21	with	with	ADP
cana-949	179	22	three	three	NUM
cana-949	179	23	parameters	parameter	NOUN
cana-949	179	24	ke	ke	NOUN
cana-949	179	25	,	,	PUNCT
cana-949	179	26	ke	ke	X
cana-949	179	27	,	,	PUNCT
cana-949	179	28	and	and	CCONJ
cana-949	179	29	ke	ke	PROPN
cana-949	179	30	.	.	PUNCT
cana-949	180	1	equation	equation	NOUN
cana-949	180	2	(	(	PUNCT
cana-949	180	3	12	12	NUM
cana-949	180	4	)	)	PUNCT
cana-949	180	5	can	can	AUX
cana-949	180	6	be	be	AUX
cana-949	180	7	reconstructed	reconstruct	VERB
cana-949	180	8	as	as	ADP
cana-949	180	9	1	1	NUM
cana-949	180	10	1	1	NUM
cana-949	180	11	(	(	PUNCT
cana-949	180	12	e	e	NOUN
cana-949	180	13	)	)	PUNCT
cana-949	181	1	k	k	PROPN
cana-949	181	2	m	m	VERB
cana-949	181	3	n	n	VERB
cana-949	181	4	k	k	X
cana-949	181	5	ijk	ijk	PROPN
cana-949	181	6	e	e	PROPN
cana-949	182	1	i	i	PRON
cana-949	182	2	j	j	PROPN
cana-949	183	1	p	p	X
cana-949	183	2	x	x	X
cana-949	183	3	p	p	X
cana-949	183	4	=	=	PUNCT
cana-949	183	5	=	=	SYM
cana-949	183	6			NUM
cana-949	183	7			NOUN
cana-949	183	8	,	,	PUNCT
cana-949	183	9	(	(	PUNCT
cana-949	183	10	𝑘	𝑘	PROPN
cana-949	183	11	∈	∈	PROPN
cana-949	183	12	𝑢1	𝑢1	NOUN
cana-949	183	13	)	)	PUNCT
cana-949	183	14	(	(	PUNCT
cana-949	183	15	23	23	NUM
cana-949	183	16	)	)	PUNCT
cana-949	183	17	assuming	assume	VERB
cana-949	183	18	that	that	SCONJ
cana-949	183	19	1	1	NUM
cana-949	183	20	1	1	NUM
cana-949	183	21	,	,	PUNCT
cana-949	183	22	k	k	PROPN
cana-949	183	23	m	m	VERB
cana-949	183	24	n	n	ADV
cana-949	183	25	ijk	ijk	X
cana-949	183	26	e	e	PROPN
cana-949	183	27	i	i	NOUN
cana-949	183	28	j	j	NOUN
cana-949	183	29	x	x	X
cana-949	183	30			NOUN
cana-949	183	31	=	=	SYM
cana-949	183	32	=	=	PUNCT
cana-949	184	1	=	=	NOUN
cana-949	184	2			PRON
cana-949	184	3	equation	equation	NOUN
cana-949	184	4	(	(	PUNCT
cana-949	184	5	23	23	NUM
cana-949	184	6	)	)	PUNCT
cana-949	184	7	can	can	AUX
cana-949	184	8	be	be	AUX
cana-949	184	9	represented	represent	VERB
cana-949	184	10	as	as	ADP
cana-949	184	11	(	(	PUNCT
cana-949	184	12	e	e	NOUN
cana-949	184	13	)	)	PUNCT
cana-949	184	14	,	,	PUNCT
cana-949	184	15	k	k	PROPN
cana-949	184	16	kk	kk	PROPN
cana-949	184	17	e	e	PROPN
cana-949	184	18	ep	ep	PROPN
cana-949	184	19	p	p	PROPN
cana-949	184	20			NUM
cana-949	184	21	𝑘	𝑘	DET
cana-949	184	22	∈	∈	PROPN
cana-949	184	23	𝑢1	𝑢1	NOUN
cana-949	184	24	for	for	ADP
cana-949	184	25	probability	probability	NOUN
cana-949	184	26	function	function	NOUN
cana-949	184	27	we	we	PRON
cana-949	184	28	use	use	VERB
cana-949	184	29	weibull	weibull	NOUN
cana-949	184	30	distribution	distribution	NOUN
cana-949	184	31	which	which	PRON
cana-949	184	32	can	can	AUX
cana-949	184	33	be	be	AUX
cana-949	184	34	written	write	VERB
cana-949	184	35	as	as	ADP
cana-949	184	36	communications	communication	NOUN
cana-949	184	37	on	on	ADP
cana-949	184	38	applied	apply	VERB
cana-949	184	39	nonlinear	nonlinear	ADJ
cana-949	184	40	analysis	analysis	NOUN
cana-949	184	41	issn	issn	NOUN
cana-949	184	42	:	:	PUNCT
cana-949	184	43	1074	1074	NUM
cana-949	184	44	-	-	PUNCT
cana-949	184	45	133x	133x	NUM
cana-949	184	46	vol	vol	NOUN
cana-949	184	47	31	31	NUM
cana-949	184	48	no	no	NOUN
cana-949	184	49	.	.	PUNCT
cana-949	185	1	4s	4s	NUM
cana-949	185	2	(	(	PUNCT
cana-949	185	3	2024	2024	NUM
cana-949	185	4	)	)	PUNCT
cana-949	185	5	548	548	NUM
cana-949	185	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	185	7	∫	∫	PROPN
cana-949	185	8	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	185	9	𝛾𝑒𝑘	𝛾𝑒𝑘	PROPN
cana-949	185	10	𝜉𝑒𝑘	𝜉𝑒𝑘	PROPN
cana-949	185	11	−∞	−∞	PROPN
cana-949	185	12	(	(	PUNCT
cana-949	185	13	𝑒𝑘−𝛽𝑒𝑘	𝑒𝑘−𝛽𝑒𝑘	ADV
cana-949	185	14	𝛾𝑒𝑘	𝛾𝑒𝑘	NOUN
cana-949	185	15	)	)	PUNCT
cana-949	186	1	𝛿𝑏𝑘−1	𝛿𝑏𝑘−1	PROPN
cana-949	186	2	𝑒	𝑒	PROPN
cana-949	186	3	{	{	PUNCT
cana-949	186	4	−	−	PROPN
cana-949	186	5	(	(	PUNCT
cana-949	186	6	𝑒𝑘−𝛽𝑒𝑘	𝑒𝑘−𝛽𝑒𝑘	ADV
cana-949	186	7	𝛾𝑒𝑘	𝛾𝑒𝑘	NOUN
cana-949	186	8	)	)	PUNCT
cana-949	186	9	𝛿𝑒𝑘	𝛿𝑒𝑘	PROPN
cana-949	186	10	}	}	PUNCT
cana-949	186	11	𝑑𝑒𝑘	𝑑𝑒𝑘	NOUN
cana-949	186	12	≥	≥	PRON
cana-949	187	1	𝑃𝑒𝑘	𝑃𝑒𝑘	VERB
cana-949	187	2	,	,	PUNCT
cana-949	187	3	𝑘	𝑘	DET
cana-949	187	4	∈	∈	PROPN
cana-949	187	5	𝑢1	𝑢1	NOUN
cana-949	187	6	(	(	PUNCT
cana-949	187	7	24	24	NUM
cana-949	187	8	)	)	PUNCT
cana-949	187	9	simultaneously	simultaneously	ADV
cana-949	187	10	,	,	PUNCT
cana-949	187	11	𝛽𝑒𝑘	𝛽𝑒𝑘	NOUN
cana-949	187	12	≤	≤	PUNCT
cana-949	187	13	𝑒𝑘	𝑒𝑘	PROPN
cana-949	187	14	,	,	PUNCT
cana-949	187	15	𝑘	𝑘	PROPN
cana-949	187	16	∈	∈	PROPN
cana-949	187	17	𝑢1	𝑢1	NOUN
cana-949	187	18	,	,	PUNCT
cana-949	187	19	equation	equation	NOUN
cana-949	187	20	(	(	PUNCT
cana-949	187	21	24	24	NUM
cana-949	187	22	)	)	PUNCT
cana-949	187	23	’s	’s	PART
cana-949	187	24	integration	integration	NOUN
cana-949	187	25	yields	yield	VERB
cana-949	187	26	the	the	DET
cana-949	187	27	following	follow	VERB
cana-949	187	28	form	form	NOUN
cana-949	187	29	:	:	PUNCT
cana-949	187	30	∫	∫	PROPN
cana-949	187	31	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	187	32	𝛾𝑒𝑘	𝛾𝑒𝑘	PROPN
cana-949	187	33	𝜉𝑒𝑘	𝜉𝑒𝑘	PROPN
cana-949	187	34	𝛽𝑒𝑘	𝛽𝑒𝑘	PROPN
cana-949	187	35	(	(	PUNCT
cana-949	187	36	𝑒𝑘−𝛽𝑒𝑘	𝑒𝑘−𝛽𝑒𝑘	ADV
cana-949	187	37	𝛾𝑒𝑘	𝛾𝑒𝑘	NOUN
cana-949	187	38	)	)	PUNCT
cana-949	188	1	𝛿𝑒𝑘−1	𝛿𝑒𝑘−1	PROPN
cana-949	188	2	𝑒	𝑒	PROPN
cana-949	188	3	{	{	PUNCT
cana-949	188	4	−	−	PROPN
cana-949	188	5	(	(	PUNCT
cana-949	188	6	𝑒𝑘−𝛽𝑒𝑘	𝑒𝑘−𝛽𝑒𝑘	ADV
cana-949	188	7	𝛾𝑒𝑘	𝛾𝑒𝑘	NOUN
cana-949	188	8	)	)	PUNCT
cana-949	188	9	𝛿𝑒𝑘	𝛿𝑒𝑘	PROPN
cana-949	188	10	}	}	PUNCT
cana-949	188	11	𝑑𝑒𝑘	𝑑𝑒𝑘	NOUN
cana-949	188	12	≥	≥	PRON
cana-949	189	1	𝑃𝑒𝑘	𝑃𝑒𝑘	VERB
cana-949	189	2	,	,	PUNCT
cana-949	189	3	𝑘	𝑘	DET
cana-949	189	4	∈	∈	PROPN
cana-949	189	5	𝑢1	𝑢1	NOUN
cana-949	189	6	(	(	PUNCT
cana-949	189	7	25	25	NUM
cana-949	189	8	)	)	PUNCT
cana-949	189	9	after	after	ADP
cana-949	189	10	solving	solve	VERB
cana-949	189	11	equation	equation	NOUN
cana-949	189	12	(	(	PUNCT
cana-949	189	13	25	25	NUM
cana-949	189	14	)	)	PUNCT
cana-949	189	15	,	,	PUNCT
cana-949	189	16	we	we	PRON
cana-949	189	17	get	get	VERB
cana-949	189	18	1	1	NUM
cana-949	189	19	−	−	NOUN
cana-949	189	20	𝑒	𝑒	X
cana-949	189	21	{	{	PUNCT
cana-949	189	22	−	−	NOUN
cana-949	189	23	(	(	PUNCT
cana-949	189	24	𝜉𝑒𝑘	𝜉𝑒𝑘	PROPN
cana-949	189	25	−𝛽𝑒𝑘	−𝛽𝑒𝑘	NOUN
cana-949	189	26	𝛾𝑒𝑘	𝛾𝑒𝑘	PROPN
cana-949	189	27	)	)	PUNCT
cana-949	189	28	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	189	29	}	}	PUNCT
cana-949	189	30	≥	≥	NUM
cana-949	190	1	𝑃𝑒𝑘	𝑃𝑒𝑘	VERB
cana-949	190	2	.	.	PUNCT
cana-949	191	1	(	(	PUNCT
cana-949	191	2	26	26	NUM
cana-949	191	3	)	)	PUNCT
cana-949	191	4	logarithm	logarithm	NOUN
cana-949	191	5	applied	apply	VERB
cana-949	191	6	on	on	ADP
cana-949	191	7	equation	equation	NOUN
cana-949	191	8	(	(	PUNCT
cana-949	191	9	26	26	NUM
cana-949	191	10	)	)	PUNCT
cana-949	191	11	then	then	ADV
cana-949	191	12	we	we	PRON
cana-949	191	13	get	get	VERB
cana-949	191	14	,	,	PUNCT
cana-949	191	15	𝜉𝑒𝑘	𝜉𝑒𝑘	PROPN
cana-949	191	16	≥	≥	PROPN
cana-949	191	17	𝛽𝑒𝑘	𝛽𝑒𝑘	NOUN
cana-949	191	18	+	+	CCONJ
cana-949	191	19	𝛾𝑒𝑘{−	𝛾𝑒𝑘{−	PROPN
cana-949	192	1	ln(1	ln(1	PROPN
cana-949	192	2	−	−	NOUN
cana-949	192	3	𝑃𝑒𝑘	𝑃𝑒𝑘	NOUN
cana-949	192	4	)	)	PUNCT
cana-949	192	5	}	}	PUNCT
cana-949	192	6	1	1	NUM
cana-949	192	7	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	192	8	,	,	PUNCT
cana-949	192	9	𝑘	𝑘	PRON
cana-949	192	10	∈	∈	PROPN
cana-949	192	11	𝑢1	𝑢1	NOUN
cana-949	192	12	.	.	PUNCT
cana-949	193	1	then	then	ADV
cana-949	193	2	,	,	PUNCT
cana-949	193	3	this	this	PRON
cana-949	193	4	can	can	AUX
cana-949	193	5	be	be	AUX
cana-949	193	6	expressed	express	VERB
cana-949	193	7	as	as	ADP
cana-949	193	8	deterministic	deterministic	ADJ
cana-949	193	9	constraint	constraint	NOUN
cana-949	193	10	:	:	PUNCT
cana-949	193	11	∑	∑	ADP
cana-949	193	12	∑	∑	PUNCT
cana-949	193	13	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	193	14	𝑛	𝑛	PRON
cana-949	193	15	𝑗=1	𝑗=1	PROPN
cana-949	193	16	𝑚	𝑚	X
cana-949	193	17	𝑖=1	𝑖=1	PUNCT
cana-949	193	18	≤	≤	ADJ
cana-949	193	19	𝛽𝑒𝑘	𝛽𝑒𝑘	NOUN
cana-949	193	20	+	+	CCONJ
cana-949	193	21	𝛾𝑒𝑘{−	𝛾𝑒𝑘{−	PROPN
cana-949	194	1	ln(1	ln(1	PROPN
cana-949	194	2	−	−	NOUN
cana-949	194	3	𝑃𝑒𝑘	𝑃𝑒𝑘	NOUN
cana-949	194	4	)	)	PUNCT
cana-949	194	5	}	}	PUNCT
cana-949	194	6	1	1	NUM
cana-949	194	7	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	194	8	,	,	PUNCT
cana-949	194	9	𝑘	𝑘	PRON
cana-949	194	10	∈	∈	PROPN
cana-949	194	11	𝑢1	𝑢1	NOUN
cana-949	194	12	.	.	PUNCT
cana-949	195	1	(	(	PUNCT
cana-949	195	2	27	27	NUM
cana-949	195	3	)	)	PUNCT
cana-949	195	4	(	(	PUNCT
cana-949	195	5	ii	ii	NOUN
cana-949	195	6	)	)	PUNCT
cana-949	195	7	proof	proof	NOUN
cana-949	195	8	of	of	ADP
cana-949	195	9	𝑃(∑	𝑃(∑	PROPN
cana-949	195	10	∑	∑	PROPN
cana-949	195	11	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	195	12	𝑛	𝑛	PRON
cana-949	195	13	𝑗=1	𝑗=1	PROPN
cana-949	195	14	𝑚	𝑚	X
cana-949	195	15	𝑖=1	𝑖=1	PUNCT
cana-949	195	16	≤	≤	NUM
cana-949	195	17	𝑒𝑘	𝑒𝑘	NOUN
cana-949	195	18	)	)	PUNCT
cana-949	195	19	≥	≥	PRON
cana-949	196	1	𝑃𝑒𝑘	𝑃𝑒𝑘	VERB
cana-949	196	2	,	,	PUNCT
cana-949	196	3	𝑘	𝑘	DET
cana-949	196	4	∈	∈	PROPN
cana-949	196	5	𝑢3	𝑢3	PROPN
cana-949	196	6	shows	show	VERB
cana-949	196	7	as	as	ADP
cana-949	196	8	below	below	ADP
cana-949	196	9	it	it	PRON
cana-949	196	10	is	be	AUX
cana-949	196	11	considered	consider	VERB
cana-949	196	12	that	that	SCONJ
cana-949	196	13	independent	independent	ADJ
cana-949	196	14	random	random	ADJ
cana-949	196	15	variable	variable	NOUN
cana-949	196	16	𝑏𝑗	𝑏𝑗	PROPN
cana-949	196	17	follows	follow	VERB
cana-949	196	18	the	the	DET
cana-949	196	19	wd	wd	PROPN
cana-949	196	20	along	along	ADP
cana-949	196	21	with	with	ADP
cana-949	196	22	three	three	NUM
cana-949	196	23	parameters	parameter	NOUN
cana-949	196	24	ke	ke	NOUN
cana-949	196	25	,	,	PUNCT
cana-949	196	26	ke	ke	X
cana-949	196	27	,	,	PUNCT
cana-949	196	28	and	and	CCONJ
cana-949	196	29	ke	ke	PROPN
cana-949	196	30	.	.	PUNCT
cana-949	197	1	equation	equation	NOUN
cana-949	197	2	(	(	PUNCT
cana-949	197	3	14	14	NUM
cana-949	197	4	)	)	PUNCT
cana-949	197	5	can	can	AUX
cana-949	197	6	be	be	AUX
cana-949	197	7	reconstructed	reconstruct	VERB
cana-949	197	8	as	as	ADP
cana-949	197	9	1	1	NUM
cana-949	197	10	1	1	NUM
cana-949	197	11	(	(	PUNCT
cana-949	197	12	e	e	NOUN
cana-949	197	13	)	)	PUNCT
cana-949	198	1	k	k	PROPN
cana-949	198	2	m	m	VERB
cana-949	198	3	n	n	VERB
cana-949	198	4	k	k	X
cana-949	198	5	ijk	ijk	PROPN
cana-949	198	6	e	e	PROPN
cana-949	199	1	i	i	PRON
cana-949	199	2	j	j	PROPN
cana-949	200	1	p	p	X
cana-949	200	2	x	x	X
cana-949	200	3	p	p	X
cana-949	200	4	=	=	X
cana-949	200	5	=	=	SYM
cana-949	200	6			NUM
cana-949	200	7			NOUN
cana-949	200	8	,	,	PUNCT
cana-949	200	9	,	,	PUNCT
cana-949	200	10	𝑘	𝑘	DET
cana-949	200	11	∈	∈	PROPN
cana-949	200	12	𝑢3	𝑢3	PROPN
cana-949	200	13	(	(	PUNCT
cana-949	200	14	28	28	NUM
cana-949	200	15	)	)	PUNCT
cana-949	200	16	assuming	assume	VERB
cana-949	200	17	that	that	SCONJ
cana-949	200	18	1	1	NUM
cana-949	200	19	1	1	NUM
cana-949	200	20	,	,	PUNCT
cana-949	200	21	k	k	PROPN
cana-949	200	22	m	m	VERB
cana-949	200	23	n	n	ADV
cana-949	200	24	ijk	ijk	X
cana-949	200	25	e	e	PROPN
cana-949	200	26	i	i	NOUN
cana-949	200	27	j	j	NOUN
cana-949	200	28	x	x	X
cana-949	200	29			NOUN
cana-949	200	30	=	=	SYM
cana-949	200	31	=	=	PUNCT
cana-949	200	32	=	=	NOUN
cana-949	200	33			PRON
cana-949	200	34	equation	equation	NOUN
cana-949	200	35	(	(	PUNCT
cana-949	200	36	28	28	NUM
cana-949	200	37	)	)	PUNCT
cana-949	200	38	can	can	AUX
cana-949	200	39	be	be	AUX
cana-949	200	40	represented	represent	VERB
cana-949	200	41	as	as	ADP
cana-949	200	42	(	(	PUNCT
cana-949	200	43	e	e	NOUN
cana-949	200	44	)	)	PUNCT
cana-949	200	45	,	,	PUNCT
cana-949	200	46	k	k	PROPN
cana-949	200	47	kk	kk	PROPN
cana-949	200	48	e	e	PROPN
cana-949	200	49	ep	ep	PROPN
cana-949	200	50	p	p	VERB
cana-949	200	51			NUM
cana-949	200	52	𝑘	𝑘	DET
cana-949	200	53	∈	∈	PROPN
cana-949	200	54	𝑢3	𝑢3	PROPN
cana-949	200	55	for	for	ADP
cana-949	200	56	probability	probability	NOUN
cana-949	200	57	function	function	NOUN
cana-949	200	58	we	we	PRON
cana-949	200	59	use	use	VERB
cana-949	200	60	weibull	weibull	NOUN
cana-949	200	61	distribution	distribution	NOUN
cana-949	200	62	which	which	PRON
cana-949	200	63	can	can	AUX
cana-949	200	64	be	be	AUX
cana-949	200	65	written	write	VERB
cana-949	200	66	as	as	ADP
cana-949	200	67	∫	∫	PROPN
cana-949	200	68	𝛿𝑒𝑘	𝛿𝑒𝑘	PROPN
cana-949	200	69	𝛾𝑒𝑘	𝛾𝑒𝑘	PROPN
cana-949	200	70	∞	∞	NUM
cana-949	200	71	𝜉𝑒𝑘	𝜉𝑒𝑘	NOUN
cana-949	200	72	(	(	PUNCT
cana-949	200	73	𝑒𝑘−𝛽𝑒𝑘	𝑒𝑘−𝛽𝑒𝑘	ADV
cana-949	200	74	𝛾𝑒𝑘	𝛾𝑒𝑘	NOUN
cana-949	200	75	)	)	PUNCT
cana-949	201	1	𝛿𝑒𝑘−1	𝛿𝑒𝑘−1	PROPN
cana-949	201	2	𝑒	𝑒	PROPN
cana-949	201	3	{	{	PUNCT
cana-949	201	4	−	−	PROPN
cana-949	201	5	(	(	PUNCT
cana-949	201	6	𝑒𝑘−𝛽𝑒𝑘	𝑒𝑘−𝛽𝑒𝑘	ADV
cana-949	201	7	𝛾𝑒𝑘	𝛾𝑒𝑘	NOUN
cana-949	201	8	)	)	PUNCT
cana-949	201	9	𝛿𝑒𝑘	𝛿𝑒𝑘	PROPN
cana-949	201	10	}	}	PUNCT
cana-949	201	11	𝑑𝑒𝑘	𝑑𝑒𝑘	NOUN
cana-949	201	12	≥	≥	PRON
cana-949	202	1	𝑃𝑒𝑘	𝑃𝑒𝑘	VERB
cana-949	202	2	,	,	PUNCT
cana-949	202	3	𝑘	𝑘	DET
cana-949	202	4	∈	∈	PROPN
cana-949	202	5	𝑢3	𝑢3	PROPN
cana-949	202	6	(	(	PUNCT
cana-949	202	7	29	29	NUM
cana-949	202	8	)	)	PUNCT
cana-949	202	9	after	after	ADP
cana-949	202	10	solving	solve	VERB
cana-949	202	11	equation	equation	NOUN
cana-949	202	12	(	(	PUNCT
cana-949	202	13	29	29	NUM
cana-949	202	14	)	)	PUNCT
cana-949	202	15	,	,	PUNCT
cana-949	202	16	we	we	PRON
cana-949	202	17	get	get	VERB
cana-949	202	18	𝑒	𝑒	PROPN
cana-949	202	19	{	{	PUNCT
cana-949	202	20	−	−	PROPN
cana-949	202	21	(	(	PUNCT
cana-949	202	22	𝜉𝑒−𝛽𝑒𝑘	𝜉𝑒−𝛽𝑒𝑘	PROPN
cana-949	202	23	𝛾𝑒𝑘	𝛾𝑒𝑘	PROPN
cana-949	202	24	)	)	PUNCT
cana-949	202	25	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	202	26	}	}	PUNCT
cana-949	202	27	≥	≥	NUM
cana-949	203	1	𝑃𝑒𝑘	𝑃𝑒𝑘	VERB
cana-949	203	2	.	.	PUNCT
cana-949	204	1	(	(	PUNCT
cana-949	204	2	30	30	NUM
cana-949	204	3	)	)	PUNCT
cana-949	204	4	logarithm	logarithm	NOUN
cana-949	204	5	applied	apply	VERB
cana-949	204	6	on	on	ADP
cana-949	204	7	equation	equation	NOUN
cana-949	204	8	(	(	PUNCT
cana-949	204	9	30	30	NUM
cana-949	204	10	)	)	PUNCT
cana-949	204	11	then	then	ADV
cana-949	204	12	we	we	PRON
cana-949	204	13	get	get	VERB
cana-949	204	14	,	,	PUNCT
cana-949	204	15	𝜉𝑒𝑘	𝜉𝑒𝑘	ADV
cana-949	204	16	≤	≤	PROPN
cana-949	204	17	𝛽𝑒𝑘	𝛽𝑒𝑘	NOUN
cana-949	204	18	+	+	CCONJ
cana-949	204	19	𝛾𝑒𝑘{−	𝛾𝑒𝑘{−	VERB
cana-949	204	20	ln(𝑃𝑒𝑘	ln(𝑃𝑒𝑘	PROPN
cana-949	204	21	)	)	PUNCT
cana-949	204	22	}	}	PUNCT
cana-949	204	23	1	1	NUM
cana-949	204	24	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	204	25	.	.	PUNCT
cana-949	205	1	then	then	ADV
cana-949	205	2	,	,	PUNCT
cana-949	205	3	this	this	PRON
cana-949	205	4	can	can	AUX
cana-949	205	5	be	be	AUX
cana-949	205	6	expressed	express	VERB
cana-949	205	7	as	as	ADP
cana-949	205	8	deterministic	deterministic	ADJ
cana-949	205	9	constraint	constraint	NOUN
cana-949	205	10	:	:	PUNCT
cana-949	205	11	∑	∑	ADP
cana-949	205	12	∑	∑	PUNCT
cana-949	205	13	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	205	14	𝑛	𝑛	PRON
cana-949	205	15	𝑗=1	𝑗=1	PROPN
cana-949	205	16	𝑚	𝑚	X
cana-949	205	17	𝑖=1	𝑖=1	PUNCT
cana-949	205	18	≤	≤	ADJ
cana-949	205	19	𝛽𝑒𝑘	𝛽𝑒𝑘	NOUN
cana-949	205	20	+	+	CCONJ
cana-949	205	21	𝛾𝑒𝑘{−	𝛾𝑒𝑘{−	VERB
cana-949	205	22	ln(𝑃𝑒𝑘	ln(𝑃𝑒𝑘	PROPN
cana-949	205	23	)	)	PUNCT
cana-949	205	24	}	}	PUNCT
cana-949	205	25	1	1	NUM
cana-949	205	26	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	205	27	,	,	PUNCT
cana-949	205	28	𝑘	𝑘	PRON
cana-949	205	29	∈	∈	PROPN
cana-949	205	30	𝑢3	𝑢3	NOUN
cana-949	205	31	.	.	PUNCT
cana-949	206	1	(	(	PUNCT
cana-949	206	2	31	31	NUM
cana-949	206	3	)	)	PUNCT
cana-949	206	4	communications	communication	NOUN
cana-949	206	5	on	on	ADP
cana-949	206	6	applied	apply	VERB
cana-949	206	7	nonlinear	nonlinear	ADJ
cana-949	206	8	analysis	analysis	NOUN
cana-949	206	9	issn	issn	NOUN
cana-949	206	10	:	:	PUNCT
cana-949	206	11	1074	1074	NUM
cana-949	206	12	-	-	PUNCT
cana-949	206	13	133x	133x	NUM
cana-949	206	14	vol	vol	NOUN
cana-949	206	15	31	31	NUM
cana-949	206	16	no	no	NOUN
cana-949	206	17	.	.	PUNCT
cana-949	207	1	4s	4s	NUM
cana-949	207	2	(	(	PUNCT
cana-949	207	3	2024	2024	NUM
cana-949	207	4	)	)	PUNCT
cana-949	207	5	549	549	NUM
cana-949	207	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	207	7	4.2.4	4.2.4	NUM
cana-949	207	8	.	.	PUNCT
cana-949	208	1	case	case	NOUN
cana-949	208	2	iv	iv	X
cana-949	208	3	:	:	PUNCT
cana-949	208	4	equality	equality	NOUN
cana-949	208	5	constraint	constraint	NOUN
cana-949	208	6	assuming	assume	VERB
cana-949	208	7	these	these	DET
cana-949	208	8	types	type	NOUN
cana-949	208	9	of	of	ADP
cana-949	208	10	equality	equality	NOUN
cana-949	208	11	supply	supply	NOUN
cana-949	208	12	,	,	PUNCT
cana-949	208	13	demand	demand	NOUN
cana-949	208	14	and	and	CCONJ
cana-949	208	15	conveyance	conveyance	NOUN
cana-949	208	16	capacity	capacity	NOUN
cana-949	208	17	constraints	constraint	VERB
cana-949	208	18	1	1	NUM
cana-949	208	19	1	1	NUM
cana-949	208	20	(	(	PUNCT
cana-949	208	21	)	)	PUNCT
cana-949	208	22	,	,	PUNCT
cana-949	208	23	i	i	PRON
cana-949	208	24	n	n	VERB
cana-949	208	25	l	l	NOUN
cana-949	208	26	ijk	ijk	X
cana-949	209	1	i	i	PRON
cana-949	209	2	a	a	PRON
cana-949	210	1	j	j	X
cana-949	210	2	k	k	PROPN
cana-949	210	3	p	p	X
cana-949	210	4	x	x	X
cana-949	210	5	a	a	DET
cana-949	210	6	p	p	X
cana-949	210	7	=	=	PUNCT
cana-949	210	8	=	=	SYM
cana-949	210	9	=	=	NOUN
cana-949	210	10			NOUN
cana-949	210	11	2	2	NUM
cana-949	210	12	1	1	NUM
cana-949	210	13	1	1	NUM
cana-949	210	14	21	21	NUM
cana-949	210	15	,	,	PUNCT
cana-949	210	16	2	2	NUM
cana-949	210	17	,	,	PUNCT
cana-949	210	18	...	...	PUNCT
cana-949	210	19	,	,	PUNCT
cana-949	210	20	,	,	PUNCT
cana-949	210	21	i	i	PRON
cana-949	210	22	r	r	VERB
cana-949	210	23	m	m	VERB
cana-949	210	24	m	m	VERB
cana-949	210	25	m	m	ADJ
cana-949	210	26	=	=	PUNCT
cana-949	211	1	+	+	PUNCT
cana-949	211	2	+	+	NUM
cana-949	211	3	1	1	NUM
cana-949	211	4	1	1	NUM
cana-949	211	5	(	(	PUNCT
cana-949	211	6	)	)	PUNCT
cana-949	211	7	,	,	PUNCT
cana-949	211	8	j	j	PROPN
cana-949	211	9	m	m	VERB
cana-949	211	10	l	l	PROPN
cana-949	211	11	ijk	ijk	PROPN
cana-949	211	12	j	j	PROPN
cana-949	212	1	b	b	PROPN
cana-949	213	1	i	i	PRON
cana-949	213	2	k	k	PROPN
cana-949	214	1	p	p	X
cana-949	214	2	x	x	X
cana-949	214	3	b	b	NOUN
cana-949	214	4	p	p	NOUN
cana-949	214	5	=	=	PUNCT
cana-949	214	6	=	=	SYM
cana-949	214	7	=	=	NOUN
cana-949	214	8			NOUN
cana-949	214	9	2	2	NUM
cana-949	214	10	1	1	NUM
cana-949	214	11	1	1	NUM
cana-949	214	12	21,n	21,n	NUM
cana-949	214	13	2	2	NUM
cana-949	214	14	,	,	PUNCT
cana-949	214	15	...	...	PUNCT
cana-949	214	16	,	,	PUNCT
cana-949	214	17	nj	nj	PROPN
cana-949	214	18	q	q	PROPN
cana-949	214	19	n	n	PROPN
cana-949	214	20	=	=	PUNCT
cana-949	215	1	+	+	PUNCT
cana-949	215	2	+	+	CCONJ
cana-949	215	3	and	and	CCONJ
cana-949	215	4	1	1	NUM
cana-949	215	5	1	1	NUM
cana-949	215	6	(	(	PUNCT
cana-949	215	7	)	)	PUNCT
cana-949	215	8	,	,	PUNCT
cana-949	216	1	k	k	PROPN
cana-949	216	2	m	m	VERB
cana-949	216	3	n	n	VERB
cana-949	216	4	ijk	ijk	X
cana-949	216	5	k	k	PROPN
cana-949	216	6	e	e	PROPN
cana-949	217	1	i	i	PRON
cana-949	217	2	j	j	PROPN
cana-949	218	1	p	p	X
cana-949	218	2	x	x	X
cana-949	218	3	e	e	X
cana-949	218	4	p	p	NOUN
cana-949	218	5	=	=	PUNCT
cana-949	218	6	=	=	PUNCT
cana-949	218	7	=	=	PUNCT
cana-949	218	8			NOUN
cana-949	218	9	𝑘	𝑘	PROPN
cana-949	218	10	∈	∈	PROPN
cana-949	218	11	𝑢2	𝑢2	PROPN
cana-949	218	12	=	=	PROPN
cana-949	218	13	𝑙1	𝑙1	PROPN
cana-949	218	14	+	+	CCONJ
cana-949	218	15	1	1	NUM
cana-949	218	16	,	,	PUNCT
cana-949	218	17	𝑙1	𝑙1	NOUN
cana-949	218	18	+	+	NOUN
cana-949	218	19	2	2	NUM
cana-949	218	20	,	,	PUNCT
cana-949	218	21	…	…	PUNCT
cana-949	218	22	,	,	PUNCT
cana-949	218	23	𝑙2	𝑙2	PROPN
cana-949	218	24	.	.	PUNCT
cana-949	219	1	change	change	VERB
cana-949	219	2	these	these	DET
cana-949	219	3	equality	equality	NOUN
cana-949	219	4	type	type	NOUN
cana-949	219	5	constraints	constraint	NOUN
cana-949	219	6	to	to	ADP
cana-949	219	7	inequality	inequality	NOUN
cana-949	219	8	type	type	NOUN
cana-949	219	9	of	of	ADP
cana-949	219	10	constraints	constraint	NOUN
cana-949	219	11	,	,	PUNCT
cana-949	219	12	for	for	ADP
cana-949	219	13	supply	supply	NOUN
cana-949	219	14	constraints	constraint	NOUN
cana-949	219	15	can	can	AUX
cana-949	219	16	be	be	AUX
cana-949	219	17	written	write	VERB
cana-949	219	18	as	as	ADP
cana-949	219	19	𝑃(∑	𝑃(∑	PROPN
cana-949	219	20	∑	∑	PROPN
cana-949	219	21	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	219	22	𝑙	𝑙	PROPN
cana-949	219	23	𝑘=1	𝑘=1	X
cana-949	219	24	𝑛	𝑛	PROPN
cana-949	219	25	𝑗=1	𝑗=1	PROPN
cana-949	219	26	≥	≥	NOUN
cana-949	219	27	𝑎𝑖	𝑎𝑖	NUM
cana-949	219	28	)	)	PUNCT
cana-949	219	29	≥	≥	NOUN
cana-949	219	30	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	219	31	and	and	CCONJ
cana-949	219	32	𝑃(∑	𝑃(∑	PROPN
cana-949	219	33	∑	∑	PROPN
cana-949	219	34	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	219	35	𝑙	𝑙	PROPN
cana-949	219	36	𝑘=1	𝑘=1	X
cana-949	219	37	𝑛	𝑛	PRON
cana-949	219	38	𝑗=1	𝑗=1	PROPN
cana-949	219	39	≤	≤	NUM
cana-949	219	40	𝑎𝑖	𝑎𝑖	PROPN
cana-949	219	41	)	)	PUNCT
cana-949	219	42	≥	≥	NOUN
cana-949	220	1	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	220	2	,	,	PUNCT
cana-949	220	3	for	for	ADP
cana-949	220	4	the	the	DET
cana-949	220	5	demand	demand	NOUN
cana-949	220	6	constraints	constraint	NOUN
cana-949	220	7	can	can	AUX
cana-949	220	8	be	be	AUX
cana-949	220	9	written	write	VERB
cana-949	220	10	as	as	ADP
cana-949	220	11	𝑃(∑	𝑃(∑	PROPN
cana-949	220	12	∑	∑	PROPN
cana-949	220	13	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	220	14	𝑙	𝑙	PROPN
cana-949	220	15	𝑘=1	𝑘=1	X
cana-949	220	16	𝑚	𝑚	X
cana-949	220	17	𝑖=1	𝑖=1	PROPN
cana-949	220	18	≥	≥	PROPN
cana-949	220	19	𝑏𝑗	𝑏𝑗	NOUN
cana-949	220	20	)	)	PUNCT
cana-949	220	21	≥	≥	NOUN
cana-949	220	22	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	220	23	and	and	CCONJ
cana-949	220	24	𝑃(∑	𝑃(∑	PROPN
cana-949	220	25	∑	∑	PROPN
cana-949	220	26	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	220	27	𝑙	𝑙	PROPN
cana-949	220	28	𝑘=1	𝑘=1	X
cana-949	220	29	𝑚	𝑚	X
cana-949	220	30	𝑖=1	𝑖=1	PROPN
cana-949	220	31	≤	≤	NUM
cana-949	220	32	𝑏𝑗	𝑏𝑗	NOUN
cana-949	220	33	)	)	PUNCT
cana-949	220	34	≥	≥	NOUN
cana-949	220	35	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	220	36	,	,	PUNCT
cana-949	220	37	for	for	SCONJ
cana-949	220	38	the	the	DET
cana-949	220	39	conveyance	conveyance	NOUN
cana-949	220	40	capacity	capacity	NOUN
cana-949	220	41	constraints	constraint	NOUN
cana-949	220	42	can	can	AUX
cana-949	220	43	be	be	AUX
cana-949	220	44	written	write	VERB
cana-949	220	45	as	as	ADP
cana-949	220	46	𝑃(∑	𝑃(∑	PROPN
cana-949	220	47	∑	∑	PROPN
cana-949	220	48	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	220	49	𝑛	𝑛	PRON
cana-949	220	50	𝑗=1	𝑗=1	PROPN
cana-949	220	51	𝑚	𝑚	ADP
cana-949	220	52	𝑖=1	𝑖=1	PROPN
cana-949	220	53	≥	≥	NUM
cana-949	220	54	𝑒𝑘	𝑒𝑘	NOUN
cana-949	220	55	)	)	PUNCT
cana-949	220	56	≥	≥	NOUN
cana-949	221	1	𝑃𝑒𝑘	𝑃𝑒𝑘	NOUN
cana-949	221	2	and	and	CCONJ
cana-949	221	3	𝑃(∑	𝑃(∑	PROPN
cana-949	221	4	∑	∑	PUNCT
cana-949	221	5	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	221	6	𝑛	𝑛	PRON
cana-949	221	7	𝑗=1	𝑗=1	PROPN
cana-949	221	8	𝑚	𝑚	X
cana-949	221	9	𝑖=1	𝑖=1	PUNCT
cana-949	221	10	≤	≤	NUM
cana-949	221	11	𝑒𝑘	𝑒𝑘	NOUN
cana-949	221	12	)	)	PUNCT
cana-949	221	13	≥	≥	PRON
cana-949	222	1	𝑃𝑒𝑘	𝑃𝑒𝑘	VERB
cana-949	222	2	.	.	PUNCT
cana-949	223	1	selecting	select	VERB
cana-949	223	2	the	the	DET
cana-949	223	3	probability	probability	NOUN
cana-949	223	4	value	value	NOUN
cana-949	223	5	at	at	ADP
cana-949	223	6	the	the	DET
cana-949	223	7	50	50	NUM
cana-949	223	8	-	-	PUNCT
cana-949	223	9	percentage	percentage	NOUN
cana-949	223	10	level	level	NOUN
cana-949	223	11	within	within	ADP
cana-949	223	12	the	the	DET
cana-949	223	13	supply	supply	NOUN
cana-949	223	14	and	and	CCONJ
cana-949	223	15	demand	demand	NOUN
cana-949	223	16	inequality	inequality	NOUN
cana-949	223	17	constraint	constraint	NOUN
cana-949	223	18	by	by	ADP
cana-949	223	19	utilizing	utilize	VERB
cana-949	223	20	weibull	weibull	NOUN
cana-949	223	21	distribution	distribution	NOUN
cana-949	223	22	results	result	NOUN
cana-949	223	23	in	in	ADP
cana-949	223	24	obtaining	obtain	VERB
cana-949	223	25	an	an	DET
cana-949	223	26	identical	identical	ADJ
cana-949	223	27	deterministic	deterministic	ADJ
cana-949	223	28	value	value	NOUN
cana-949	223	29	for	for	ADP
cana-949	223	30	both	both	DET
cana-949	223	31	types	type	NOUN
cana-949	223	32	of	of	ADP
cana-949	223	33	inequalities	inequality	NOUN
cana-949	223	34	in	in	ADP
cana-949	223	35	supply	supply	NOUN
cana-949	223	36	and	and	CCONJ
cana-949	223	37	demand	demand	NOUN
cana-949	223	38	constraints	constraint	NOUN
cana-949	223	39	.	.	PUNCT
cana-949	224	1	then	then	ADV
cana-949	224	2	the	the	DET
cana-949	224	3	equality	equality	NOUN
cana-949	224	4	constraints	constraint	VERB
cana-949	224	5	for	for	ADP
cana-949	224	6	supply	supply	NOUN
cana-949	224	7	can	can	AUX
cana-949	224	8	be	be	AUX
cana-949	224	9	written	write	VERB
cana-949	224	10	in	in	ADP
cana-949	224	11	deterministic	deterministic	ADJ
cana-949	224	12	form	form	NOUN
cana-949	224	13	as	as	ADP
cana-949	224	14	∑	∑	ADV
cana-949	224	15	∑	∑	PROPN
cana-949	224	16	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	224	17	𝑙	𝑙	PROPN
cana-949	224	18	𝑘=1	𝑘=1	X
cana-949	224	19	𝑛	𝑛	PRON
cana-949	224	20	𝑗=1	𝑗=1	PROPN
cana-949	224	21	≥	≥	PRON
cana-949	224	22	𝛽𝑎𝑖	𝛽𝑎𝑖	NOUN
cana-949	224	23	+	+	CCONJ
cana-949	224	24	𝛾𝑎𝑖{−	𝛾𝑎𝑖{−	PUNCT
cana-949	224	25	ln(1	ln(1	PROPN
cana-949	224	26	−	−	PROPN
cana-949	224	27	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	224	28	)	)	PUNCT
cana-949	224	29	}	}	PUNCT
cana-949	224	30	1	1	NUM
cana-949	224	31	𝛿𝑎𝑖	𝛿𝑎𝑖	NOUN
cana-949	224	32	,	,	PUNCT
cana-949	224	33	𝑖	𝑖	SYM
cana-949	224	34	∈	∈	NOUN
cana-949	224	35	𝑟2	𝑟2	NOUN
cana-949	224	36	or	or	CCONJ
cana-949	224	37	∑	∑	ADP
cana-949	224	38	∑	∑	VERB
cana-949	224	39	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	224	40	𝑙	𝑙	PROPN
cana-949	224	41	𝑘=1	𝑘=1	X
cana-949	224	42	𝑛	𝑛	PRON
cana-949	224	43	𝑗=1	𝑗=1	PROPN
cana-949	224	44	≥	≥	PRON
cana-949	224	45	𝛽𝑎𝑖	𝛽𝑎𝑖	NOUN
cana-949	224	46	+	+	CCONJ
cana-949	224	47	𝛾𝑎𝑖{−	𝛾𝑎𝑖{−	PROPN
cana-949	224	48	ln(𝑃𝑎𝑖	ln(𝑃𝑎𝑖	PROPN
cana-949	224	49	)	)	PUNCT
cana-949	224	50	}	}	PUNCT
cana-949	224	51	1	1	NUM
cana-949	224	52	𝛿𝑎𝑖	𝛿𝑎𝑖	NOUN
cana-949	224	53	,	,	PUNCT
cana-949	224	54	𝑖	𝑖	PROPN
cana-949	224	55	∈	∈	NOUN
cana-949	224	56	𝑟2	𝑟2	NOUN
cana-949	224	57	,	,	PUNCT
cana-949	224	58	for	for	ADP
cana-949	224	59	demand	demand	NOUN
cana-949	224	60	constraints	constraint	NOUN
cana-949	224	61	can	can	AUX
cana-949	224	62	be	be	AUX
cana-949	224	63	written	write	VERB
cana-949	224	64	as	as	ADP
cana-949	224	65	∑	∑	PUNCT
cana-949	224	66	∑	∑	PROPN
cana-949	224	67	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	224	68	𝑙	𝑙	PROPN
cana-949	224	69	𝑘=1	𝑘=1	X
cana-949	224	70	𝑚	𝑚	X
cana-949	224	71	𝑖=1	𝑖=1	PROPN
cana-949	224	72	≤	≤	X
cana-949	224	73	𝛽𝑏𝑗	𝛽𝑏𝑗	NOUN
cana-949	224	74	+	+	CCONJ
cana-949	224	75	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	224	76	{	{	PUNCT
cana-949	224	77	−	−	PROPN
cana-949	224	78	ln	ln	ADJ
cana-949	224	79	(	(	PUNCT
cana-949	224	80	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	224	81	)	)	PUNCT
cana-949	224	82	}	}	PUNCT
cana-949	224	83	1	1	NUM
cana-949	224	84	𝛿𝑏𝑗	𝛿𝑏𝑗	ADV
cana-949	224	85	,	,	PUNCT
cana-949	224	86	𝑗	𝑗	NOUN
cana-949	224	87	∈	∈	NOUN
cana-949	224	88	𝑞2	𝑞2	NOUN
cana-949	224	89	or	or	CCONJ
cana-949	224	90	∑	∑	ADP
cana-949	224	91	∑	∑	VERB
cana-949	224	92	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	224	93	𝑙	𝑙	PROPN
cana-949	224	94	𝑘=1	𝑘=1	X
cana-949	224	95	𝑚	𝑚	X
cana-949	224	96	𝑖=1	𝑖=1	PROPN
cana-949	224	97	≤	≤	X
cana-949	224	98	𝛽𝑏𝑗	𝛽𝑏𝑗	NOUN
cana-949	224	99	+	+	CCONJ
cana-949	224	100	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	224	101	{	{	PUNCT
cana-949	224	102	−	−	PROPN
cana-949	224	103	ln	ln	INTJ
cana-949	224	104	(	(	PUNCT
cana-949	224	105	1	1	NUM
cana-949	224	106	−	−	PROPN
cana-949	224	107	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	224	108	)	)	PUNCT
cana-949	224	109	}	}	PUNCT
cana-949	225	1	1	1	NUM
cana-949	225	2	𝛿𝑏𝑗	𝛿𝑏𝑗	ADV
cana-949	225	3	,	,	PUNCT
cana-949	225	4	𝑗	𝑗	NOUN
cana-949	225	5	∈	∈	NOUN
cana-949	225	6	𝑞2	𝑞2	NOUN
cana-949	225	7	and	and	CCONJ
cana-949	225	8	for	for	ADP
cana-949	225	9	the	the	DET
cana-949	225	10	conveyance	conveyance	NOUN
cana-949	225	11	capacity	capacity	NOUN
cana-949	225	12	constraints	constraint	NOUN
cana-949	225	13	can	can	AUX
cana-949	225	14	be	be	AUX
cana-949	225	15	written	write	VERB
cana-949	225	16	as	as	SCONJ
cana-949	225	17	𝜉𝑒𝑘	𝜉𝑒𝑘	PROPN
cana-949	225	18	≥	≥	PROPN
cana-949	225	19	𝛽𝑒𝑘	𝛽𝑒𝑘	NOUN
cana-949	225	20	+	+	CCONJ
cana-949	225	21	𝛾𝑒𝑘{−	𝛾𝑒𝑘{−	PROPN
cana-949	225	22	ln(1	ln(1	PROPN
cana-949	225	23	−	−	NOUN
cana-949	225	24	𝑃𝑒𝑘	𝑃𝑒𝑘	NOUN
cana-949	225	25	)	)	PUNCT
cana-949	225	26	}	}	PUNCT
cana-949	225	27	1	1	NUM
cana-949	225	28	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	225	29	,	,	PUNCT
cana-949	225	30	𝑘	𝑘	DET
cana-949	225	31	∈	∈	PROPN
cana-949	225	32	𝑢2	𝑢2	PROPN
cana-949	225	33	or	or	CCONJ
cana-949	225	34	𝜉𝑒𝑘	𝜉𝑒𝑘	NOUN
cana-949	225	35	≤	≤	PROPN
cana-949	225	36	𝛽𝑒𝑘	𝛽𝑒𝑘	NOUN
cana-949	225	37	+	+	CCONJ
cana-949	225	38	𝛾𝑒𝑘{−	𝛾𝑒𝑘{−	VERB
cana-949	225	39	ln(𝑃𝑒𝑘	ln(𝑃𝑒𝑘	PROPN
cana-949	225	40	)	)	PUNCT
cana-949	225	41	}	}	PUNCT
cana-949	225	42	1	1	NUM
cana-949	225	43	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	225	44	,	,	PUNCT
cana-949	225	45	𝑘	𝑘	DET
cana-949	225	46	∈	∈	PROPN
cana-949	225	47	𝑢2	𝑢2	PROPN
cana-949	225	48	.	.	PUNCT
cana-949	226	1	5	5	NUM
cana-949	226	2	.	.	X
cana-949	226	3	modelling	modelling	NOUN
cana-949	226	4	in	in	ADP
cana-949	226	5	this	this	DET
cana-949	226	6	section	section	NOUN
cana-949	226	7	,	,	PUNCT
cana-949	226	8	deterministic	deterministic	ADJ
cana-949	226	9	mathematical	mathematical	ADJ
cana-949	226	10	programming	programming	NOUN
cana-949	226	11	models	model	NOUN
cana-949	226	12	for	for	ADP
cana-949	226	13	sfstpmc	sfstpmc	NOUN
cana-949	226	14	are	be	AUX
cana-949	226	15	introduced	introduce	VERB
cana-949	226	16	.	.	PUNCT
cana-949	227	1	these	these	DET
cana-949	227	2	models	model	NOUN
cana-949	227	3	incorporate	incorporate	VERB
cana-949	227	4	the	the	DET
cana-949	227	5	quantiles	quantile	NOUN
cana-949	227	6	of	of	ADP
cana-949	227	7	the	the	DET
cana-949	227	8	weibull	weibull	NOUN
cana-949	227	9	distribution	distribution	NOUN
cana-949	227	10	as	as	ADP
cana-949	227	11	constraints	constraint	NOUN
cana-949	227	12	and	and	CCONJ
cana-949	227	13	utilize	utilize	VERB
cana-949	227	14	a	a	DET
cana-949	227	15	fuzzy	fuzzy	ADJ
cana-949	227	16	linear	linear	ADJ
cana-949	227	17	membership	membership	NOUN
cana-949	227	18	function	function	NOUN
cana-949	227	19	for	for	ADP
cana-949	227	20	the	the	DET
cana-949	227	21	cost	cost	NOUN
cana-949	227	22	function	function	NOUN
cana-949	227	23	.	.	PUNCT
cana-949	228	1	in	in	ADP
cana-949	228	2	practical	practical	ADJ
cana-949	228	3	situations	situation	NOUN
cana-949	228	4	,	,	PUNCT
cana-949	228	5	only	only	ADV
cana-949	228	6	specific	specific	ADJ
cana-949	228	7	elements	element	NOUN
cana-949	228	8	of	of	ADP
cana-949	228	9	supply	supply	NOUN
cana-949	228	10	and	and	CCONJ
cana-949	228	11	demand	demand	NOUN
cana-949	228	12	might	might	AUX
cana-949	228	13	be	be	AUX
cana-949	228	14	subject	subject	ADJ
cana-949	228	15	to	to	ADP
cana-949	228	16	uncertainty	uncertainty	NOUN
cana-949	228	17	and	and	CCONJ
cana-949	228	18	other	other	ADJ
cana-949	228	19	parameters	parameter	NOUN
cana-949	228	20	as	as	ADP
cana-949	228	21	certain	certain	ADJ
cana-949	228	22	.	.	PUNCT
cana-949	229	1	therefore	therefore	ADV
cana-949	229	2	,	,	PUNCT
cana-949	229	3	deterministic	deterministic	ADJ
cana-949	229	4	form	form	NOUN
cana-949	229	5	of	of	ADP
cana-949	229	6	sfstpmc	sfstpmc	NOUN
cana-949	229	7	can	can	AUX
cana-949	229	8	be	be	AUX
cana-949	229	9	adjusted	adjust	VERB
cana-949	229	10	on	on	ADP
cana-949	229	11	the	the	DET
cana-949	229	12	basis	basis	NOUN
cana-949	229	13	of	of	ADP
cana-949	229	14	circumstances	circumstance	NOUN
cana-949	229	15	.	.	PUNCT
cana-949	230	1	there	there	PRON
cana-949	230	2	are	be	VERB
cana-949	230	3	three	three	NUM
cana-949	230	4	models	model	NOUN
cana-949	230	5	in	in	ADP
cana-949	230	6	this	this	DET
cana-949	230	7	section	section	NOUN
cana-949	230	8	.	.	PUNCT
cana-949	231	1	in	in	ADP
cana-949	231	2	model	model	NOUN
cana-949	231	3	1	1	NUM
cana-949	231	4	,	,	PUNCT
cana-949	231	5	2	2	NUM
cana-949	231	6	and	and	CCONJ
cana-949	231	7	3	3	NUM
cana-949	231	8	includes	include	VERB
cana-949	231	9	any	any	DET
cana-949	231	10	one	one	NUM
cana-949	231	11	of	of	ADP
cana-949	231	12	the	the	DET
cana-949	231	13	parameters	parameter	NOUN
cana-949	231	14	such	such	ADJ
cana-949	231	15	as	as	ADP
cana-949	231	16	𝑎𝑖	𝑎𝑖	PROPN
cana-949	231	17	,	,	PUNCT
cana-949	231	18	𝑏𝑗	𝑏𝑗	PROPN
cana-949	231	19	,	,	PUNCT
cana-949	231	20	𝑜𝑟	𝑜𝑟	VERB
cana-949	231	21	𝑒𝑘	𝑒𝑘	PRON
cana-949	231	22	as	as	ADV
cana-949	231	23	uncertain	uncertain	ADJ
cana-949	231	24	respectively	respectively	ADV
cana-949	231	25	.	.	PUNCT
cana-949	232	1	in	in	ADP
cana-949	232	2	model	model	NOUN
cana-949	232	3	3	3	NUM
cana-949	232	4	introduces	introduce	NOUN
cana-949	232	5	a	a	DET
cana-949	232	6	general	general	ADJ
cana-949	232	7	model	model	NOUN
cana-949	232	8	in	in	ADP
cana-949	232	9	where	where	SCONJ
cana-949	232	10	all	all	DET
cana-949	232	11	random	random	ADJ
cana-949	232	12	variables	variable	NOUN
cana-949	232	13	are	be	AUX
cana-949	232	14	subject	subject	ADJ
cana-949	232	15	to	to	ADP
cana-949	232	16	uncertainty	uncertainty	NOUN
cana-949	232	17	.	.	PUNCT
cana-949	233	1	model	model	NOUN
cana-949	233	2	1	1	NUM
cana-949	233	3	:	:	PUNCT
cana-949	233	4	modelling	modelling	NOUN
cana-949	233	5	for	for	ADP
cana-949	233	6	deterministic	deterministic	ADJ
cana-949	233	7	sfstpmc	sfstpmc	NOUN
cana-949	233	8	can	can	AUX
cana-949	233	9	be	be	AUX
cana-949	233	10	converted	convert	VERB
cana-949	233	11	to	to	PART
cana-949	233	12	stochastic	stochastic	VERB
cana-949	233	13	one	one	NUM
cana-949	233	14	when	when	SCONJ
cana-949	233	15	supply	supply	NOUN
cana-949	233	16	is	be	AUX
cana-949	233	17	uncertain	uncertain	ADJ
cana-949	233	18	,	,	PUNCT
cana-949	233	19	demand	demand	NOUN
cana-949	233	20	and	and	CCONJ
cana-949	233	21	conveyance	conveyance	NOUN
cana-949	233	22	capacity	capacity	NOUN
cana-949	233	23	constraints	constraint	NOUN
cana-949	233	24	as	as	ADP
cana-949	233	25	certain	certain	ADJ
cana-949	233	26	.	.	PUNCT
cana-949	234	1	(	(	PUNCT
cana-949	234	2	r1	r1	NOUN
cana-949	234	3	)	)	PUNCT
cana-949	234	4	minz	minz	NOUN
cana-949	235	1	=	=	PUNCT
cana-949	235	2	∑	∑	PUNCT
cana-949	235	3	∑	∑	PROPN
cana-949	235	4	∑	∑	PART
cana-949	235	5	𝑐𝑖𝑗𝑘	𝑐𝑖𝑗𝑘	NOUN
cana-949	235	6	(	(	PUNCT
cana-949	235	7	(	(	PUNCT
cana-949	235	8	1	1	NUM
cana-949	235	9	−	−	NUM
cana-949	235	10	𝛼)𝑥𝑖𝑗𝑘	𝛼)𝑥𝑖𝑗𝑘	NUM
cana-949	235	11	+	+	SYM
cana-949	235	12	𝛼𝑥𝑖𝑗𝑘	𝛼𝑥𝑖𝑗𝑘	ADJ
cana-949	235	13	)	)	PUNCT
cana-949	236	1	𝑙	𝑙	PROPN
cana-949	236	2	𝑘=1	𝑘=1	X
cana-949	236	3	𝑛	𝑛	PRON
cana-949	236	4	𝑗=1	𝑗=1	PROPN
cana-949	236	5	𝑚	𝑚	X
cana-949	236	6	𝑖=1	𝑖=1	PROPN
cana-949	236	7	.	.	PUNCT
cana-949	237	1	(	(	PUNCT
cana-949	237	2	32	32	NUM
cana-949	237	3	)	)	PUNCT
cana-949	237	4	subject	subject	NOUN
cana-949	237	5	to	to	ADP
cana-949	237	6	∑	∑	ADP
cana-949	237	7	∑	∑	PROPN
cana-949	237	8	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	237	9	𝑙	𝑙	PROPN
cana-949	237	10	𝑘=1	𝑘=1	X
cana-949	237	11	𝑛	𝑛	PRON
cana-949	237	12	𝑗=1	𝑗=1	PROPN
cana-949	237	13	≥	≥	PRON
cana-949	237	14	𝛽𝑎𝑖	𝛽𝑎𝑖	NOUN
cana-949	237	15	+	+	CCONJ
cana-949	237	16	𝛾𝑎𝑖{−	𝛾𝑎𝑖{−	PUNCT
cana-949	238	1	ln(1	ln(1	PROPN
cana-949	238	2	−	−	PROPN
cana-949	238	3	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	238	4	)	)	PUNCT
cana-949	238	5	}	}	PUNCT
cana-949	238	6	1	1	NUM
cana-949	238	7	𝛿𝑎𝑖	𝛿𝑎𝑖	NOUN
cana-949	238	8	,	,	PUNCT
cana-949	238	9	𝑖	𝑖	PROPN
cana-949	238	10	∈	∈	PROPN
cana-949	238	11	𝑟1	𝑟1	NOUN
cana-949	238	12	,	,	PUNCT
cana-949	238	13	(	(	PUNCT
cana-949	238	14	33	33	NUM
cana-949	238	15	)	)	PUNCT
cana-949	238	16	communications	communication	NOUN
cana-949	238	17	on	on	ADP
cana-949	238	18	applied	apply	VERB
cana-949	238	19	nonlinear	nonlinear	ADJ
cana-949	238	20	analysis	analysis	NOUN
cana-949	238	21	issn	issn	NOUN
cana-949	238	22	:	:	PUNCT
cana-949	238	23	1074	1074	NUM
cana-949	238	24	-	-	PUNCT
cana-949	238	25	133x	133x	NUM
cana-949	238	26	vol	vol	NOUN
cana-949	238	27	31	31	NUM
cana-949	238	28	no	no	NOUN
cana-949	238	29	.	.	PUNCT
cana-949	239	1	4s	4s	NUM
cana-949	239	2	(	(	PUNCT
cana-949	239	3	2024	2024	NUM
cana-949	239	4	)	)	PUNCT
cana-949	239	5	550	550	NUM
cana-949	239	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	239	7	∑	∑	PUNCT
cana-949	239	8	∑	∑	PROPN
cana-949	239	9	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	239	10	𝑙	𝑙	PROPN
cana-949	239	11	𝑘=1	𝑘=1	X
cana-949	239	12	𝑛	𝑛	PRON
cana-949	239	13	𝑗=1	𝑗=1	NOUN
cana-949	239	14	=	=	SYM
cana-949	239	15	𝛽𝑎𝑖	𝛽𝑎𝑖	PROPN
cana-949	239	16	+	+	CCONJ
cana-949	239	17	𝛾𝑎𝑖{−	𝛾𝑎𝑖{−	PUNCT
cana-949	240	1	ln(1	ln(1	PROPN
cana-949	240	2	−	−	PROPN
cana-949	240	3	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	240	4	)	)	PUNCT
cana-949	240	5	}	}	PUNCT
cana-949	240	6	1	1	NUM
cana-949	240	7	𝛿𝑎𝑖	𝛿𝑎𝑖	NOUN
cana-949	240	8	,	,	PUNCT
cana-949	240	9	𝑖	𝑖	PROPN
cana-949	240	10	∈	∈	NOUN
cana-949	240	11	𝑟2	𝑟2	NOUN
cana-949	240	12	,	,	PUNCT
cana-949	240	13	(	(	PUNCT
cana-949	240	14	34	34	NUM
cana-949	240	15	)	)	PUNCT
cana-949	240	16	∑	∑	ADP
cana-949	240	17	∑	∑	DET
cana-949	240	18	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	240	19	𝑙	𝑙	PROPN
cana-949	240	20	𝑘=1	𝑘=1	X
cana-949	240	21	𝑛	𝑛	PRON
cana-949	240	22	𝑗=1	𝑗=1	PROPN
cana-949	240	23	≤	≤	X
cana-949	240	24	𝛽𝑎𝑖	𝛽𝑎𝑖	VERB
cana-949	240	25	+	+	CCONJ
cana-949	240	26	𝛾𝑎𝑖{−	𝛾𝑎𝑖{−	PROPN
cana-949	240	27	ln(𝑃𝑎𝑖	ln(𝑃𝑎𝑖	PROPN
cana-949	240	28	)	)	PUNCT
cana-949	240	29	}	}	PUNCT
cana-949	240	30	1	1	NUM
cana-949	240	31	𝛿𝑎𝑖	𝛿𝑎𝑖	NOUN
cana-949	240	32	,	,	PUNCT
cana-949	240	33	𝑖	𝑖	PROPN
cana-949	240	34	∈	∈	PROPN
cana-949	240	35	𝑟3	𝑟3	NOUN
cana-949	240	36	,	,	PUNCT
cana-949	240	37	(	(	PUNCT
cana-949	240	38	35	35	NUM
cana-949	240	39	)	)	PUNCT
cana-949	240	40	∑	∑	ADP
cana-949	240	41	∑	∑	PUNCT
cana-949	240	42	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	240	43	𝑙	𝑙	PROPN
cana-949	240	44	𝑘=1	𝑘=1	X
cana-949	240	45	𝑚	𝑚	X
cana-949	240	46	𝑖=1	𝑖=1	PROPN
cana-949	240	47	≥	≥	NUM
cana-949	240	48	𝑏𝑗	𝑏𝑗	NOUN
cana-949	240	49	,	,	PUNCT
cana-949	240	50	𝑗	𝑗	PROPN
cana-949	240	51	∈	∈	PROPN
cana-949	240	52	𝑞1	𝑞1	NOUN
cana-949	240	53	,	,	PUNCT
cana-949	240	54	(	(	PUNCT
cana-949	240	55	36	36	NUM
cana-949	240	56	)	)	PUNCT
cana-949	240	57	∑	∑	ADP
cana-949	240	58	∑	∑	PUNCT
cana-949	240	59	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	240	60	𝑙	𝑙	PROPN
cana-949	240	61	𝑘=1	𝑘=1	X
cana-949	240	62	𝑚	𝑚	NOUN
cana-949	240	63	𝑖=1	𝑖=1	PUNCT
cana-949	240	64	=	=	SYM
cana-949	240	65	𝑏𝑗	𝑏𝑗	PROPN
cana-949	240	66	,	,	PUNCT
cana-949	240	67	𝑗	𝑗	PROPN
cana-949	240	68	∈	∈	NOUN
cana-949	240	69	𝑞2	𝑞2	NOUN
cana-949	240	70	,	,	PUNCT
cana-949	240	71	(	(	PUNCT
cana-949	240	72	37	37	NUM
cana-949	240	73	)	)	PUNCT
cana-949	240	74	∑	∑	ADP
cana-949	240	75	∑	∑	PUNCT
cana-949	240	76	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	240	77	𝑙	𝑙	PROPN
cana-949	240	78	𝑘=1	𝑘=1	X
cana-949	240	79	𝑚	𝑚	X
cana-949	240	80	𝑖=1	𝑖=1	PUNCT
cana-949	240	81	≤	≤	PROPN
cana-949	240	82	𝑏𝑗	𝑏𝑗	NOUN
cana-949	240	83	,	,	PUNCT
cana-949	240	84	𝑗	𝑗	PROPN
cana-949	240	85	∈	∈	PROPN
cana-949	240	86	𝑞3	𝑞3	NOUN
cana-949	240	87	,	,	PUNCT
cana-949	240	88	(	(	PUNCT
cana-949	240	89	38	38	NUM
cana-949	240	90	)	)	PUNCT
cana-949	240	91	∑	∑	ADP
cana-949	240	92	∑	∑	PUNCT
cana-949	240	93	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	240	94	𝑛	𝑛	PRON
cana-949	240	95	𝑗=1	𝑗=1	PROPN
cana-949	240	96	𝑚	𝑚	ADP
cana-949	240	97	𝑖=1	𝑖=1	PROPN
cana-949	240	98	≥	≥	NUM
cana-949	240	99	𝑒𝑘	𝑒𝑘	NOUN
cana-949	240	100	,	,	PUNCT
cana-949	240	101	𝑘	𝑘	PROPN
cana-949	240	102	∈	∈	PROPN
cana-949	240	103	𝑢1	𝑢1	NOUN
cana-949	240	104	,	,	PUNCT
cana-949	240	105	(	(	PUNCT
cana-949	240	106	39	39	NUM
cana-949	240	107	)	)	PUNCT
cana-949	240	108	∑	∑	ADP
cana-949	240	109	∑	∑	PUNCT
cana-949	240	110	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	240	111	𝑛	𝑛	PRON
cana-949	240	112	𝑗=1	𝑗=1	PROPN
cana-949	240	113	𝑚	𝑚	X
cana-949	240	114	𝑖=1	𝑖=1	PUNCT
cana-949	240	115	=	=	SYM
cana-949	240	116	𝑒𝑘	𝑒𝑘	PROPN
cana-949	240	117	,	,	PUNCT
cana-949	240	118	𝑘	𝑘	PRON
cana-949	240	119	∈	∈	PROPN
cana-949	240	120	𝑢2	𝑢2	PROPN
cana-949	240	121	,	,	PUNCT
cana-949	240	122	(	(	PUNCT
cana-949	240	123	40	40	NUM
cana-949	240	124	)	)	PUNCT
cana-949	240	125	∑	∑	ADP
cana-949	240	126	∑	∑	PUNCT
cana-949	240	127	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	240	128	𝑛	𝑛	PRON
cana-949	240	129	𝑗=1	𝑗=1	PROPN
cana-949	240	130	𝑚	𝑚	X
cana-949	240	131	𝑖=1	𝑖=1	PUNCT
cana-949	240	132	≤	≤	NUM
cana-949	240	133	𝑒𝑘	𝑒𝑘	NOUN
cana-949	240	134	,	,	PUNCT
cana-949	240	135	𝑘	𝑘	PROPN
cana-949	240	136	∈	∈	PROPN
cana-949	240	137	𝑢3	𝑢3	NOUN
cana-949	240	138	,	,	PUNCT
cana-949	240	139	(	(	PUNCT
cana-949	240	140	41	41	NUM
cana-949	240	141	)	)	PUNCT
cana-949	240	142	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	240	143	≥	≥	NOUN
cana-949	240	144	0	0	NUM
cana-949	240	145	,	,	PUNCT
cana-949	240	146	𝑖	𝑖	PRON
cana-949	240	147	,	,	PUNCT
cana-949	240	148	𝑗	𝑗	INTJ
cana-949	240	149	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-949	240	150	𝑘	𝑘	NOUN
cana-949	240	151	,	,	PUNCT
cana-949	240	152	(	(	PUNCT
cana-949	240	153	42	42	X
cana-949	240	154	)	)	PUNCT
cana-949	240	155	model	model	NOUN
cana-949	240	156	2	2	NUM
cana-949	240	157	:	:	PUNCT
cana-949	240	158	modelling	modelling	NOUN
cana-949	240	159	for	for	ADP
cana-949	240	160	deterministic	deterministic	ADJ
cana-949	240	161	sfstpmc	sfstpmc	NOUN
cana-949	240	162	can	can	AUX
cana-949	240	163	be	be	AUX
cana-949	240	164	converted	convert	VERB
cana-949	240	165	to	to	PART
cana-949	240	166	stochastic	stochastic	VERB
cana-949	240	167	one	one	NUM
cana-949	240	168	when	when	SCONJ
cana-949	240	169	demand	demand	NOUN
cana-949	240	170	is	be	AUX
cana-949	240	171	uncertain	uncertain	ADJ
cana-949	240	172	,	,	PUNCT
cana-949	240	173	supply	supply	NOUN
cana-949	240	174	and	and	CCONJ
cana-949	240	175	conveyance	conveyance	NOUN
cana-949	240	176	capacity	capacity	NOUN
cana-949	240	177	constraints	constraint	NOUN
cana-949	240	178	as	as	ADP
cana-949	240	179	certain	certain	ADJ
cana-949	240	180	.	.	PUNCT
cana-949	241	1	(	(	PUNCT
cana-949	241	2	r2	r2	NOUN
cana-949	241	3	)	)	PUNCT
cana-949	241	4	minz	minz	NOUN
cana-949	242	1	=	=	PUNCT
cana-949	242	2	∑	∑	PUNCT
cana-949	242	3	∑	∑	PROPN
cana-949	242	4	∑	∑	PART
cana-949	242	5	𝑐𝑖𝑗𝑘	𝑐𝑖𝑗𝑘	NOUN
cana-949	242	6	(	(	PUNCT
cana-949	242	7	(	(	PUNCT
cana-949	242	8	1	1	NUM
cana-949	242	9	−	−	NUM
cana-949	242	10	𝛼)𝑥𝑖𝑗𝑘	𝛼)𝑥𝑖𝑗𝑘	NUM
cana-949	242	11	+	+	SYM
cana-949	242	12	𝛼𝑥𝑖𝑗𝑘	𝛼𝑥𝑖𝑗𝑘	ADJ
cana-949	242	13	)	)	PUNCT
cana-949	243	1	𝑙	𝑙	PROPN
cana-949	243	2	𝑘=1	𝑘=1	X
cana-949	243	3	𝑛	𝑛	PRON
cana-949	243	4	𝑗=1	𝑗=1	PROPN
cana-949	243	5	𝑚	𝑚	X
cana-949	243	6	𝑖=1	𝑖=1	PROPN
cana-949	243	7	.	.	PUNCT
cana-949	244	1	(	(	PUNCT
cana-949	244	2	43	43	NUM
cana-949	244	3	)	)	PUNCT
cana-949	244	4	subject	subject	ADJ
cana-949	244	5	to	to	ADP
cana-949	244	6	∑	∑	ADP
cana-949	244	7	∑	∑	PROPN
cana-949	244	8	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	244	9	𝑙	𝑙	PROPN
cana-949	244	10	𝑘=1	𝑘=1	X
cana-949	244	11	𝑛	𝑛	PROPN
cana-949	244	12	𝑗=1	𝑗=1	PROPN
cana-949	244	13	≥	≥	NOUN
cana-949	244	14	𝑎𝑖	𝑎𝑖	ADP
cana-949	244	15	,	,	PUNCT
cana-949	244	16	𝑖	𝑖	PROPN
cana-949	244	17	∈	∈	PROPN
cana-949	244	18	𝑟1	𝑟1	NOUN
cana-949	244	19	,	,	PUNCT
cana-949	244	20	(	(	PUNCT
cana-949	244	21	44	44	NUM
cana-949	244	22	)	)	PUNCT
cana-949	244	23	∑	∑	ADP
cana-949	244	24	∑	∑	PUNCT
cana-949	244	25	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	244	26	𝑙	𝑙	PROPN
cana-949	244	27	𝑘=1	𝑘=1	X
cana-949	244	28	𝑛	𝑛	PRON
cana-949	244	29	𝑗=1	𝑗=1	NOUN
cana-949	244	30	=	=	SYM
cana-949	244	31	𝑎𝑖	𝑎𝑖	PROPN
cana-949	244	32	,	,	PUNCT
cana-949	244	33	𝑖	𝑖	PROPN
cana-949	244	34	∈	∈	NOUN
cana-949	244	35	𝑟2	𝑟2	NOUN
cana-949	244	36	,	,	PUNCT
cana-949	244	37	(	(	PUNCT
cana-949	244	38	45	45	NUM
cana-949	244	39	)	)	PUNCT
cana-949	244	40	∑	∑	ADP
cana-949	244	41	∑	∑	PUNCT
cana-949	244	42	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	244	43	𝑙	𝑙	PROPN
cana-949	244	44	𝑘=1	𝑘=1	X
cana-949	244	45	𝑛	𝑛	PRON
cana-949	244	46	𝑗=1	𝑗=1	PROPN
cana-949	244	47	≤	≤	PROPN
cana-949	244	48	𝑎𝑖	𝑎𝑖	PROPN
cana-949	244	49	,	,	PUNCT
cana-949	244	50	𝑖	𝑖	PROPN
cana-949	244	51	∈	∈	PROPN
cana-949	244	52	𝑟3	𝑟3	NOUN
cana-949	244	53	,	,	PUNCT
cana-949	244	54	(	(	PUNCT
cana-949	244	55	46	46	NUM
cana-949	244	56	)	)	PUNCT
cana-949	244	57	∑	∑	ADP
cana-949	244	58	∑	∑	PUNCT
cana-949	244	59	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	244	60	𝑙	𝑙	PROPN
cana-949	244	61	𝑘=1	𝑘=1	X
cana-949	244	62	𝑚	𝑚	X
cana-949	244	63	𝑖=1	𝑖=1	PROPN
cana-949	244	64	≥	≥	NOUN
cana-949	244	65	𝛽𝑏𝑗	𝛽𝑏𝑗	NOUN
cana-949	244	66	+	+	CCONJ
cana-949	244	67	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	244	68	{	{	PUNCT
cana-949	244	69	−	−	PROPN
cana-949	244	70	ln	ln	INTJ
cana-949	244	71	(	(	PUNCT
cana-949	244	72	1	1	NUM
cana-949	244	73	−	−	PROPN
cana-949	244	74	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	244	75	)	)	PUNCT
cana-949	244	76	}	}	PUNCT
cana-949	244	77	1	1	NUM
cana-949	244	78	𝛿𝑏𝑗	𝛿𝑏𝑗	ADV
cana-949	244	79	,	,	PUNCT
cana-949	244	80	𝑗	𝑗	PROPN
cana-949	244	81	∈	∈	PROPN
cana-949	244	82	𝑞1	𝑞1	NOUN
cana-949	244	83	,	,	PUNCT
cana-949	244	84	(	(	PUNCT
cana-949	244	85	47	47	NUM
cana-949	244	86	)	)	PUNCT
cana-949	244	87	∑	∑	ADP
cana-949	244	88	∑	∑	PUNCT
cana-949	244	89	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	244	90	𝑙	𝑙	PROPN
cana-949	244	91	𝑘=1	𝑘=1	X
cana-949	244	92	𝑚	𝑚	NOUN
cana-949	244	93	𝑖=1	𝑖=1	PUNCT
cana-949	244	94	=	=	SYM
cana-949	244	95	𝛽𝑏𝑗	𝛽𝑏𝑗	PROPN
cana-949	244	96	+	+	CCONJ
cana-949	244	97	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	244	98	{	{	PUNCT
cana-949	244	99	−	−	PROPN
cana-949	244	100	ln	ln	ADJ
cana-949	244	101	(	(	PUNCT
cana-949	244	102	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	244	103	)	)	PUNCT
cana-949	244	104	}	}	PUNCT
cana-949	244	105	1	1	NUM
cana-949	244	106	𝛿𝑗	𝛿𝑗	NOUN
cana-949	244	107	,	,	PUNCT
cana-949	244	108	𝑗	𝑗	PROPN
cana-949	244	109	∈	∈	NOUN
cana-949	244	110	𝑞2	𝑞2	NOUN
cana-949	244	111	,	,	PUNCT
cana-949	244	112	(	(	PUNCT
cana-949	244	113	48	48	NUM
cana-949	244	114	)	)	PUNCT
cana-949	244	115	∑	∑	ADP
cana-949	244	116	∑	∑	PUNCT
cana-949	244	117	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	244	118	𝑙	𝑙	PROPN
cana-949	244	119	𝑘=1	𝑘=1	X
cana-949	244	120	𝑚	𝑚	X
cana-949	244	121	𝑖=1	𝑖=1	PROPN
cana-949	244	122	≤	≤	X
cana-949	244	123	𝛽𝑏𝑗	𝛽𝑏𝑗	NOUN
cana-949	244	124	+	+	CCONJ
cana-949	244	125	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	244	126	{	{	PUNCT
cana-949	244	127	−	−	PROPN
cana-949	244	128	ln	ln	ADJ
cana-949	244	129	(	(	PUNCT
cana-949	244	130	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	244	131	)	)	PUNCT
cana-949	244	132	}	}	PUNCT
cana-949	244	133	1	1	NUM
cana-949	244	134	𝛿𝑗	𝛿𝑗	INTJ
cana-949	244	135	,	,	PUNCT
cana-949	244	136	𝑗	𝑗	PROPN
cana-949	244	137	∈	∈	PROPN
cana-949	244	138	𝑞3	𝑞3	NOUN
cana-949	244	139	,	,	PUNCT
cana-949	244	140	(	(	PUNCT
cana-949	244	141	49	49	NUM
cana-949	244	142	)	)	PUNCT
cana-949	244	143	∑	∑	ADP
cana-949	244	144	∑	∑	PUNCT
cana-949	244	145	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	244	146	𝑛	𝑛	PRON
cana-949	244	147	𝑗=1	𝑗=1	PROPN
cana-949	244	148	𝑚	𝑚	ADP
cana-949	244	149	𝑖=1	𝑖=1	PROPN
cana-949	244	150	≥	≥	NUM
cana-949	244	151	𝑒𝑘	𝑒𝑘	NOUN
cana-949	244	152	,	,	PUNCT
cana-949	244	153	𝑘	𝑘	PRON
cana-949	244	154	∈	∈	PROPN
cana-949	244	155	𝑢1	𝑢1	NOUN
cana-949	244	156	(	(	PUNCT
cana-949	244	157	50	50	NUM
cana-949	244	158	)	)	PUNCT
cana-949	244	159	∑	∑	ADP
cana-949	244	160	∑	∑	X
cana-949	244	161	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	244	162	𝑛	𝑛	PRON
cana-949	244	163	𝑗=1	𝑗=1	PROPN
cana-949	244	164	𝑚	𝑚	X
cana-949	244	165	𝑖=1	𝑖=1	PUNCT
cana-949	244	166	=	=	SYM
cana-949	244	167	𝑒𝑘	𝑒𝑘	PROPN
cana-949	244	168	,	,	PUNCT
cana-949	244	169	𝑘	𝑘	PRON
cana-949	244	170	∈	∈	PROPN
cana-949	244	171	𝑢2	𝑢2	PROPN
cana-949	244	172	(	(	PUNCT
cana-949	244	173	51	51	NUM
cana-949	244	174	)	)	PUNCT
cana-949	244	175	∑	∑	ADP
cana-949	244	176	∑	∑	X
cana-949	244	177	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	244	178	𝑛	𝑛	PRON
cana-949	244	179	𝑗=1	𝑗=1	PROPN
cana-949	244	180	𝑚	𝑚	X
cana-949	244	181	𝑖=1	𝑖=1	PUNCT
cana-949	244	182	≤	≤	NUM
cana-949	244	183	𝑒𝑘	𝑒𝑘	NOUN
cana-949	244	184	,	,	PUNCT
cana-949	244	185	𝑘	𝑘	PROPN
cana-949	244	186	∈	∈	PROPN
cana-949	244	187	𝑢3	𝑢3	PROPN
cana-949	244	188	(	(	PUNCT
cana-949	244	189	52	52	NUM
cana-949	244	190	)	)	PUNCT
cana-949	244	191	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	244	192	≥	≥	NOUN
cana-949	244	193	0	0	NUM
cana-949	244	194	,	,	PUNCT
cana-949	244	195	𝑖	𝑖	PRON
cana-949	244	196	,	,	PUNCT
cana-949	244	197	𝑗	𝑗	INTJ
cana-949	244	198	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-949	244	199	𝑘	𝑘	NOUN
cana-949	244	200	,	,	PUNCT
cana-949	244	201	(	(	PUNCT
cana-949	244	202	53	53	NUM
cana-949	244	203	)	)	PUNCT
cana-949	244	204	model	model	NOUN
cana-949	244	205	3	3	NUM
cana-949	244	206	:	:	PUNCT
cana-949	244	207	modelling	modelling	NOUN
cana-949	244	208	for	for	ADP
cana-949	244	209	deterministic	deterministic	ADJ
cana-949	244	210	sfstpmc	sfstpmc	NOUN
cana-949	244	211	can	can	AUX
cana-949	244	212	be	be	AUX
cana-949	244	213	converted	convert	VERB
cana-949	244	214	to	to	PART
cana-949	244	215	stochastic	stochastic	VERB
cana-949	244	216	one	one	NUM
cana-949	244	217	when	when	SCONJ
cana-949	244	218	conveyance	conveyance	NOUN
cana-949	244	219	capacity	capacity	NOUN
cana-949	244	220	is	be	AUX
cana-949	244	221	uncertain	uncertain	ADJ
cana-949	244	222	,	,	PUNCT
cana-949	244	223	supply	supply	NOUN
cana-949	244	224	and	and	CCONJ
cana-949	244	225	demand	demand	NOUN
cana-949	244	226	constraints	constraint	NOUN
cana-949	244	227	as	as	ADP
cana-949	244	228	certain	certain	ADJ
cana-949	244	229	.	.	PUNCT
cana-949	245	1	(	(	PUNCT
cana-949	245	2	r3	r3	PROPN
cana-949	245	3	)	)	PUNCT
cana-949	245	4	minz	minz	NOUN
cana-949	246	1	=	=	PUNCT
cana-949	246	2	∑	∑	PUNCT
cana-949	246	3	∑	∑	PROPN
cana-949	246	4	∑	∑	PART
cana-949	246	5	𝑐𝑖𝑗𝑘	𝑐𝑖𝑗𝑘	NOUN
cana-949	246	6	(	(	PUNCT
cana-949	246	7	(	(	PUNCT
cana-949	246	8	1	1	NUM
cana-949	246	9	−	−	NUM
cana-949	246	10	𝛼)𝑥𝑖𝑗𝑘	𝛼)𝑥𝑖𝑗𝑘	NUM
cana-949	246	11	+	+	SYM
cana-949	246	12	𝛼𝑥𝑖𝑗𝑘	𝛼𝑥𝑖𝑗𝑘	ADJ
cana-949	246	13	)	)	PUNCT
cana-949	247	1	𝑙	𝑙	PROPN
cana-949	247	2	𝑘=1	𝑘=1	X
cana-949	247	3	𝑛	𝑛	PRON
cana-949	247	4	𝑗=1	𝑗=1	PROPN
cana-949	247	5	𝑚	𝑚	X
cana-949	247	6	𝑖=1	𝑖=1	PROPN
cana-949	247	7	.	.	PUNCT
cana-949	248	1	(	(	PUNCT
cana-949	248	2	54	54	NUM
cana-949	248	3	)	)	PUNCT
cana-949	248	4	communications	communication	NOUN
cana-949	248	5	on	on	ADP
cana-949	248	6	applied	apply	VERB
cana-949	248	7	nonlinear	nonlinear	ADJ
cana-949	248	8	analysis	analysis	NOUN
cana-949	248	9	issn	issn	NOUN
cana-949	248	10	:	:	PUNCT
cana-949	248	11	1074	1074	NUM
cana-949	248	12	-	-	PUNCT
cana-949	248	13	133x	133x	NUM
cana-949	248	14	vol	vol	NOUN
cana-949	248	15	31	31	NUM
cana-949	248	16	no	no	NOUN
cana-949	248	17	.	.	PUNCT
cana-949	249	1	4s	4s	NUM
cana-949	249	2	(	(	PUNCT
cana-949	249	3	2024	2024	NUM
cana-949	249	4	)	)	PUNCT
cana-949	249	5	551	551	NUM
cana-949	249	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	249	7	subject	subject	ADJ
cana-949	249	8	to	to	ADP
cana-949	249	9	∑	∑	ADP
cana-949	249	10	∑	∑	PROPN
cana-949	249	11	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	249	12	𝑙	𝑙	PROPN
cana-949	249	13	𝑘=1	𝑘=1	X
cana-949	249	14	𝑛	𝑛	PROPN
cana-949	249	15	𝑗=1	𝑗=1	PROPN
cana-949	249	16	≥	≥	NOUN
cana-949	249	17	𝑎𝑖	𝑎𝑖	ADP
cana-949	249	18	,	,	PUNCT
cana-949	249	19	𝑖	𝑖	PROPN
cana-949	249	20	∈	∈	PROPN
cana-949	249	21	𝑟1	𝑟1	NOUN
cana-949	249	22	,	,	PUNCT
cana-949	249	23	(	(	PUNCT
cana-949	249	24	55	55	NUM
cana-949	249	25	)	)	PUNCT
cana-949	249	26	∑	∑	ADP
cana-949	249	27	∑	∑	PUNCT
cana-949	249	28	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	249	29	𝑙	𝑙	PROPN
cana-949	249	30	𝑘=1	𝑘=1	X
cana-949	249	31	𝑛	𝑛	PRON
cana-949	249	32	𝑗=1	𝑗=1	NOUN
cana-949	249	33	=	=	SYM
cana-949	249	34	𝑎𝑖	𝑎𝑖	PROPN
cana-949	249	35	,	,	PUNCT
cana-949	249	36	𝑖	𝑖	PROPN
cana-949	249	37	∈	∈	NOUN
cana-949	249	38	𝑟2	𝑟2	NOUN
cana-949	249	39	,	,	PUNCT
cana-949	249	40	(	(	PUNCT
cana-949	249	41	56	56	NUM
cana-949	249	42	)	)	PUNCT
cana-949	249	43	∑	∑	ADP
cana-949	249	44	∑	∑	DET
cana-949	249	45	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	249	46	𝑙	𝑙	PROPN
cana-949	249	47	𝑘=1	𝑘=1	X
cana-949	249	48	𝑛	𝑛	PRON
cana-949	249	49	𝑗=1	𝑗=1	PROPN
cana-949	249	50	≤	≤	PROPN
cana-949	249	51	𝑎𝑖	𝑎𝑖	PROPN
cana-949	249	52	,	,	PUNCT
cana-949	249	53	𝑖	𝑖	PROPN
cana-949	249	54	∈	∈	PROPN
cana-949	249	55	𝑟3	𝑟3	NOUN
cana-949	249	56	,	,	PUNCT
cana-949	249	57	(	(	PUNCT
cana-949	249	58	57	57	NUM
cana-949	249	59	)	)	PUNCT
cana-949	249	60	∑	∑	ADP
cana-949	249	61	∑	∑	PUNCT
cana-949	249	62	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	249	63	𝑙	𝑙	PROPN
cana-949	249	64	𝑘=1	𝑘=1	X
cana-949	249	65	𝑚	𝑚	X
cana-949	249	66	𝑖=1	𝑖=1	PROPN
cana-949	249	67	≥	≥	NUM
cana-949	249	68	𝑏𝑗	𝑏𝑗	NOUN
cana-949	249	69	,	,	PUNCT
cana-949	249	70	𝑗	𝑗	PROPN
cana-949	249	71	∈	∈	PROPN
cana-949	249	72	𝑞1	𝑞1	NOUN
cana-949	249	73	,	,	PUNCT
cana-949	249	74	(	(	PUNCT
cana-949	249	75	58	58	NUM
cana-949	249	76	)	)	PUNCT
cana-949	249	77	∑	∑	ADP
cana-949	249	78	∑	∑	PUNCT
cana-949	249	79	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	249	80	𝑙	𝑙	PROPN
cana-949	249	81	𝑘=1	𝑘=1	X
cana-949	249	82	𝑚	𝑚	NOUN
cana-949	249	83	𝑖=1	𝑖=1	PUNCT
cana-949	249	84	=	=	SYM
cana-949	249	85	𝑏𝑗	𝑏𝑗	PROPN
cana-949	249	86	,	,	PUNCT
cana-949	249	87	𝑗	𝑗	PROPN
cana-949	249	88	∈	∈	NOUN
cana-949	249	89	𝑞2	𝑞2	NOUN
cana-949	249	90	,	,	PUNCT
cana-949	249	91	(	(	PUNCT
cana-949	249	92	59	59	NUM
cana-949	249	93	)	)	PUNCT
cana-949	249	94	∑	∑	ADP
cana-949	249	95	∑	∑	DET
cana-949	249	96	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	249	97	𝑙	𝑙	PROPN
cana-949	249	98	𝑘=1	𝑘=1	X
cana-949	249	99	𝑚	𝑚	X
cana-949	249	100	𝑖=1	𝑖=1	PUNCT
cana-949	249	101	≤	≤	PROPN
cana-949	249	102	𝑏𝑗	𝑏𝑗	NOUN
cana-949	249	103	,	,	PUNCT
cana-949	249	104	𝑗	𝑗	PROPN
cana-949	249	105	∈	∈	PROPN
cana-949	249	106	𝑞3	𝑞3	NOUN
cana-949	249	107	,	,	PUNCT
cana-949	249	108	(	(	PUNCT
cana-949	249	109	60	60	NUM
cana-949	249	110	)	)	PUNCT
cana-949	249	111	∑	∑	ADP
cana-949	249	112	∑	∑	PUNCT
cana-949	249	113	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	249	114	𝑛	𝑛	PRON
cana-949	249	115	𝑗=1	𝑗=1	PROPN
cana-949	249	116	𝑚	𝑚	ADP
cana-949	249	117	𝑖=1	𝑖=1	PROPN
cana-949	249	118	≥	≥	X
cana-949	249	119	𝛽𝑒𝑘	𝛽𝑒𝑘	NOUN
cana-949	249	120	+	+	CCONJ
cana-949	249	121	𝛾𝑒𝑘{−	𝛾𝑒𝑘{−	PROPN
cana-949	250	1	ln(1	ln(1	PROPN
cana-949	250	2	−	−	NOUN
cana-949	250	3	𝑃𝑒𝑘	𝑃𝑒𝑘	NOUN
cana-949	250	4	)	)	PUNCT
cana-949	250	5	}	}	PUNCT
cana-949	250	6	1	1	NUM
cana-949	250	7	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	250	8	,	,	PUNCT
cana-949	250	9	𝑘	𝑘	DET
cana-949	250	10	∈	∈	PROPN
cana-949	250	11	𝑢1	𝑢1	NOUN
cana-949	250	12	,	,	PUNCT
cana-949	250	13	(	(	PUNCT
cana-949	250	14	61	61	NUM
cana-949	250	15	)	)	PUNCT
cana-949	250	16	∑	∑	ADP
cana-949	250	17	∑	∑	PUNCT
cana-949	250	18	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	250	19	𝑛	𝑛	PRON
cana-949	250	20	𝑗=1	𝑗=1	PROPN
cana-949	250	21	𝑚	𝑚	X
cana-949	250	22	𝑖=1	𝑖=1	PUNCT
cana-949	250	23	=	=	SYM
cana-949	250	24	𝛽𝑒𝑘	𝛽𝑒𝑘	PROPN
cana-949	250	25	+	+	CCONJ
cana-949	250	26	𝛾𝑒𝑘{−	𝛾𝑒𝑘{−	PROPN
cana-949	251	1	ln(1	ln(1	PROPN
cana-949	251	2	−	−	NOUN
cana-949	251	3	𝑃𝑒𝑘	𝑃𝑒𝑘	NOUN
cana-949	251	4	)	)	PUNCT
cana-949	251	5	}	}	PUNCT
cana-949	251	6	1	1	NUM
cana-949	251	7	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	251	8	,	,	PUNCT
cana-949	251	9	𝑘	𝑘	PRON
cana-949	251	10	∈	∈	PROPN
cana-949	251	11	𝑢2	𝑢2	PROPN
cana-949	251	12	,	,	PUNCT
cana-949	251	13	(	(	PUNCT
cana-949	251	14	62	62	NUM
cana-949	251	15	)	)	PUNCT
cana-949	251	16	∑	∑	ADP
cana-949	251	17	∑	∑	PUNCT
cana-949	251	18	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	251	19	𝑛	𝑛	PRON
cana-949	251	20	𝑗=1	𝑗=1	PROPN
cana-949	251	21	𝑚	𝑚	X
cana-949	251	22	𝑖=1	𝑖=1	PUNCT
cana-949	251	23	≤	≤	ADJ
cana-949	251	24	𝛽𝑒𝑘	𝛽𝑒𝑘	NOUN
cana-949	251	25	+	+	CCONJ
cana-949	251	26	𝛾𝑒𝑘{−	𝛾𝑒𝑘{−	VERB
cana-949	251	27	ln(𝑃𝑒𝑘	ln(𝑃𝑒𝑘	PROPN
cana-949	251	28	)	)	PUNCT
cana-949	251	29	}	}	PUNCT
cana-949	251	30	1	1	NUM
cana-949	251	31	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	251	32	,	,	PUNCT
cana-949	251	33	𝑘	𝑘	PRON
cana-949	251	34	∈	∈	PROPN
cana-949	251	35	𝑢3	𝑢3	PROPN
cana-949	251	36	,	,	PUNCT
cana-949	251	37	(	(	PUNCT
cana-949	251	38	63	63	NUM
cana-949	251	39	)	)	PUNCT
cana-949	251	40	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	251	41	≥	≥	NOUN
cana-949	251	42	0	0	NUM
cana-949	251	43	,	,	PUNCT
cana-949	251	44	𝑖	𝑖	PRON
cana-949	251	45	,	,	PUNCT
cana-949	251	46	𝑗	𝑗	INTJ
cana-949	251	47	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-949	251	48	𝑘	𝑘	NOUN
cana-949	251	49	,	,	PUNCT
cana-949	251	50	(	(	PUNCT
cana-949	251	51	64	64	NUM
cana-949	251	52	)	)	PUNCT
cana-949	251	53	model	model	NOUN
cana-949	251	54	4	4	NUM
cana-949	251	55	:	:	PUNCT
cana-949	251	56	modelling	modelling	NOUN
cana-949	251	57	for	for	ADP
cana-949	251	58	deterministic	deterministic	ADJ
cana-949	251	59	sfstpmc	sfstpmc	NOUN
cana-949	251	60	can	can	AUX
cana-949	251	61	be	be	AUX
cana-949	251	62	converted	convert	VERB
cana-949	251	63	to	to	PART
cana-949	251	64	stochastic	stochastic	VERB
cana-949	251	65	one	one	NUM
cana-949	251	66	when	when	SCONJ
cana-949	251	67	supply	supply	NOUN
cana-949	251	68	,	,	PUNCT
cana-949	251	69	demand	demand	NOUN
cana-949	251	70	and	and	CCONJ
cana-949	251	71	conveyance	conveyance	NOUN
cana-949	251	72	capacity	capacity	NOUN
cana-949	251	73	constraints	constraint	NOUN
cana-949	251	74	as	as	ADP
cana-949	251	75	uncertain	uncertain	ADJ
cana-949	251	76	.	.	PUNCT
cana-949	252	1	(	(	PUNCT
cana-949	252	2	r4	r4	NOUN
cana-949	252	3	)	)	PUNCT
cana-949	252	4	minz	minz	NOUN
cana-949	253	1	=	=	PUNCT
cana-949	253	2	∑	∑	PUNCT
cana-949	253	3	∑	∑	PROPN
cana-949	253	4	∑	∑	PART
cana-949	253	5	𝑐𝑖𝑗𝑘	𝑐𝑖𝑗𝑘	NOUN
cana-949	253	6	(	(	PUNCT
cana-949	253	7	(	(	PUNCT
cana-949	253	8	1	1	NUM
cana-949	253	9	−	−	NUM
cana-949	253	10	𝛼)𝑥𝑖𝑗𝑘	𝛼)𝑥𝑖𝑗𝑘	NUM
cana-949	253	11	+	+	SYM
cana-949	253	12	𝛼𝑥𝑖𝑗𝑘	𝛼𝑥𝑖𝑗𝑘	ADJ
cana-949	253	13	)	)	PUNCT
cana-949	254	1	𝑙	𝑙	PROPN
cana-949	254	2	𝑘=1	𝑘=1	X
cana-949	254	3	𝑛	𝑛	PRON
cana-949	254	4	𝑗=1	𝑗=1	PROPN
cana-949	254	5	𝑚	𝑚	X
cana-949	254	6	𝑖=1	𝑖=1	PROPN
cana-949	254	7	.	.	PUNCT
cana-949	255	1	(	(	PUNCT
cana-949	255	2	65	65	NUM
cana-949	255	3	)	)	PUNCT
cana-949	255	4	subject	subject	ADJ
cana-949	255	5	to	to	ADP
cana-949	255	6	∑	∑	ADP
cana-949	255	7	∑	∑	PROPN
cana-949	255	8	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	255	9	𝑙	𝑙	PROPN
cana-949	255	10	𝑘=1	𝑘=1	X
cana-949	255	11	𝑛	𝑛	PRON
cana-949	255	12	𝑗=1	𝑗=1	PROPN
cana-949	255	13	≥	≥	PRON
cana-949	255	14	𝛽𝑎𝑖	𝛽𝑎𝑖	NOUN
cana-949	255	15	+	+	CCONJ
cana-949	255	16	𝛾𝑎𝑖{−	𝛾𝑎𝑖{−	PUNCT
cana-949	256	1	ln(1	ln(1	PROPN
cana-949	256	2	−	−	PROPN
cana-949	256	3	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	256	4	)	)	PUNCT
cana-949	256	5	}	}	PUNCT
cana-949	256	6	1	1	NUM
cana-949	256	7	𝛿𝑎𝑖	𝛿𝑎𝑖	NOUN
cana-949	256	8	,	,	PUNCT
cana-949	256	9	𝑖	𝑖	PROPN
cana-949	256	10	∈	∈	PROPN
cana-949	256	11	𝑟1	𝑟1	NOUN
cana-949	256	12	,	,	PUNCT
cana-949	256	13	(	(	PUNCT
cana-949	256	14	66	66	NUM
cana-949	256	15	)	)	PUNCT
cana-949	256	16	∑	∑	ADP
cana-949	256	17	∑	∑	PUNCT
cana-949	256	18	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	256	19	𝑙	𝑙	PROPN
cana-949	256	20	𝑘=1	𝑘=1	X
cana-949	256	21	𝑛	𝑛	PRON
cana-949	256	22	𝑗=1	𝑗=1	NOUN
cana-949	256	23	=	=	SYM
cana-949	256	24	𝛽𝑎𝑖	𝛽𝑎𝑖	PROPN
cana-949	256	25	+	+	CCONJ
cana-949	256	26	𝛾𝑎𝑖{−	𝛾𝑎𝑖{−	PUNCT
cana-949	257	1	ln(1	ln(1	PROPN
cana-949	257	2	−	−	PROPN
cana-949	257	3	𝑃𝑎𝑖	𝑃𝑎𝑖	PROPN
cana-949	257	4	)	)	PUNCT
cana-949	257	5	}	}	PUNCT
cana-949	257	6	1	1	NUM
cana-949	257	7	𝛿𝑎𝑖	𝛿𝑎𝑖	NOUN
cana-949	257	8	,	,	PUNCT
cana-949	257	9	𝑖	𝑖	PROPN
cana-949	257	10	∈	∈	NOUN
cana-949	257	11	𝑟2	𝑟2	NOUN
cana-949	257	12	,	,	PUNCT
cana-949	257	13	(	(	PUNCT
cana-949	257	14	67	67	NUM
cana-949	257	15	)	)	PUNCT
cana-949	257	16	∑	∑	ADP
cana-949	257	17	∑	∑	PUNCT
cana-949	257	18	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	257	19	𝑙	𝑙	PROPN
cana-949	257	20	𝑘=1	𝑘=1	X
cana-949	257	21	𝑛	𝑛	PRON
cana-949	257	22	𝑗=1	𝑗=1	PROPN
cana-949	257	23	≤	≤	X
cana-949	257	24	𝛽𝑎𝑖	𝛽𝑎𝑖	VERB
cana-949	257	25	+	+	CCONJ
cana-949	257	26	𝛾𝑎𝑖{−	𝛾𝑎𝑖{−	PROPN
cana-949	257	27	ln(𝑃𝑎𝑖	ln(𝑃𝑎𝑖	PROPN
cana-949	257	28	)	)	PUNCT
cana-949	257	29	}	}	PUNCT
cana-949	257	30	1	1	NUM
cana-949	257	31	𝛿𝑎𝑖	𝛿𝑎𝑖	NOUN
cana-949	257	32	,	,	PUNCT
cana-949	257	33	𝑖	𝑖	PROPN
cana-949	257	34	∈	∈	PROPN
cana-949	257	35	𝑟3	𝑟3	NOUN
cana-949	257	36	,	,	PUNCT
cana-949	257	37	(	(	PUNCT
cana-949	257	38	68	68	NUM
cana-949	257	39	)	)	PUNCT
cana-949	257	40	∑	∑	ADP
cana-949	257	41	∑	∑	PUNCT
cana-949	257	42	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	257	43	𝑙	𝑙	PROPN
cana-949	257	44	𝑘=1	𝑘=1	X
cana-949	257	45	𝑚	𝑚	X
cana-949	257	46	𝑖=1	𝑖=1	PROPN
cana-949	257	47	≥	≥	NOUN
cana-949	257	48	𝛽𝑏𝑗	𝛽𝑏𝑗	NOUN
cana-949	257	49	+	+	CCONJ
cana-949	257	50	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	257	51	{	{	PUNCT
cana-949	257	52	−	−	PROPN
cana-949	257	53	ln	ln	INTJ
cana-949	257	54	(	(	PUNCT
cana-949	257	55	1	1	NUM
cana-949	257	56	−	−	PROPN
cana-949	257	57	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	257	58	)	)	PUNCT
cana-949	257	59	}	}	PUNCT
cana-949	257	60	1	1	NUM
cana-949	257	61	𝛿𝑏𝑗	𝛿𝑏𝑗	ADV
cana-949	257	62	,	,	PUNCT
cana-949	257	63	𝑗	𝑗	PROPN
cana-949	257	64	∈	∈	PROPN
cana-949	257	65	𝑞1	𝑞1	NOUN
cana-949	257	66	,	,	PUNCT
cana-949	257	67	(	(	PUNCT
cana-949	257	68	69	69	NUM
cana-949	257	69	)	)	PUNCT
cana-949	257	70	∑	∑	ADP
cana-949	257	71	∑	∑	PUNCT
cana-949	257	72	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	257	73	𝑙	𝑙	PROPN
cana-949	257	74	𝑘=1	𝑘=1	X
cana-949	257	75	𝑚	𝑚	NOUN
cana-949	257	76	𝑖=1	𝑖=1	PUNCT
cana-949	257	77	=	=	SYM
cana-949	257	78	𝛽𝑏𝑗	𝛽𝑏𝑗	PROPN
cana-949	257	79	+	+	CCONJ
cana-949	257	80	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	257	81	{	{	PUNCT
cana-949	257	82	−	−	PROPN
cana-949	257	83	ln	ln	ADJ
cana-949	257	84	(	(	PUNCT
cana-949	257	85	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	257	86	)	)	PUNCT
cana-949	257	87	}	}	PUNCT
cana-949	257	88	1	1	NUM
cana-949	257	89	𝛿𝑏𝑗	𝛿𝑏𝑗	ADV
cana-949	257	90	,	,	PUNCT
cana-949	257	91	𝑗	𝑗	NOUN
cana-949	257	92	∈	∈	NOUN
cana-949	257	93	𝑞2	𝑞2	NOUN
cana-949	257	94	,	,	PUNCT
cana-949	257	95	(	(	PUNCT
cana-949	257	96	70	70	NUM
cana-949	257	97	)	)	PUNCT
cana-949	257	98	∑	∑	ADP
cana-949	257	99	∑	∑	PUNCT
cana-949	257	100	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	257	101	𝑙	𝑙	PROPN
cana-949	257	102	𝑘=1	𝑘=1	X
cana-949	257	103	𝑚	𝑚	X
cana-949	257	104	𝑖=1	𝑖=1	PROPN
cana-949	257	105	≤	≤	X
cana-949	257	106	𝛽𝑏𝑗	𝛽𝑏𝑗	NOUN
cana-949	257	107	+	+	CCONJ
cana-949	257	108	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	257	109	{	{	PUNCT
cana-949	257	110	−	−	PROPN
cana-949	257	111	ln	ln	ADJ
cana-949	257	112	(	(	PUNCT
cana-949	257	113	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	257	114	)	)	PUNCT
cana-949	257	115	}	}	PUNCT
cana-949	257	116	1	1	NUM
cana-949	257	117	𝛿𝑏𝑗	𝛿𝑏𝑗	ADV
cana-949	257	118	,	,	PUNCT
cana-949	257	119	𝑗	𝑗	PROPN
cana-949	257	120	∈	∈	PROPN
cana-949	257	121	𝑞3	𝑞3	NOUN
cana-949	257	122	,	,	PUNCT
cana-949	257	123	(	(	PUNCT
cana-949	257	124	71	71	NUM
cana-949	257	125	)	)	PUNCT
cana-949	257	126	∑	∑	ADP
cana-949	257	127	∑	∑	PUNCT
cana-949	257	128	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	257	129	𝑛	𝑛	PRON
cana-949	257	130	𝑗=1	𝑗=1	PROPN
cana-949	257	131	𝑚	𝑚	ADP
cana-949	257	132	𝑖=1	𝑖=1	PROPN
cana-949	257	133	≥	≥	X
cana-949	257	134	𝛽𝑒𝑘	𝛽𝑒𝑘	NOUN
cana-949	257	135	+	+	CCONJ
cana-949	257	136	𝛾𝑒𝑘{−	𝛾𝑒𝑘{−	PROPN
cana-949	257	137	ln(1	ln(1	PROPN
cana-949	257	138	−	−	NOUN
cana-949	257	139	𝑃𝑒𝑘	𝑃𝑒𝑘	NOUN
cana-949	257	140	)	)	PUNCT
cana-949	257	141	}	}	PUNCT
cana-949	257	142	1	1	NUM
cana-949	257	143	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	257	144	,	,	PUNCT
cana-949	257	145	𝑘	𝑘	DET
cana-949	257	146	∈	∈	PROPN
cana-949	257	147	𝑢1	𝑢1	NOUN
cana-949	257	148	,	,	PUNCT
cana-949	257	149	(	(	PUNCT
cana-949	257	150	72	72	NUM
cana-949	257	151	)	)	PUNCT
cana-949	257	152	∑	∑	ADP
cana-949	257	153	∑	∑	PUNCT
cana-949	257	154	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	257	155	𝑛	𝑛	PRON
cana-949	257	156	𝑗=1	𝑗=1	PROPN
cana-949	257	157	𝑚	𝑚	X
cana-949	257	158	𝑖=1	𝑖=1	PUNCT
cana-949	257	159	=	=	SYM
cana-949	257	160	𝛽𝑒𝑘	𝛽𝑒𝑘	PROPN
cana-949	257	161	+	+	CCONJ
cana-949	257	162	𝛾𝑒𝑘{−	𝛾𝑒𝑘{−	PROPN
cana-949	258	1	ln(1	ln(1	PROPN
cana-949	258	2	−	−	NOUN
cana-949	258	3	𝑃𝑒𝑘	𝑃𝑒𝑘	NOUN
cana-949	258	4	)	)	PUNCT
cana-949	258	5	}	}	PUNCT
cana-949	258	6	1	1	NUM
cana-949	258	7	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	258	8	,	,	PUNCT
cana-949	258	9	𝑘	𝑘	PRON
cana-949	258	10	∈	∈	PROPN
cana-949	258	11	𝑢2	𝑢2	PROPN
cana-949	258	12	,	,	PUNCT
cana-949	258	13	(	(	PUNCT
cana-949	258	14	73	73	NUM
cana-949	258	15	)	)	PUNCT
cana-949	258	16	communications	communication	NOUN
cana-949	258	17	on	on	ADP
cana-949	258	18	applied	apply	VERB
cana-949	258	19	nonlinear	nonlinear	ADJ
cana-949	258	20	analysis	analysis	NOUN
cana-949	258	21	issn	issn	NOUN
cana-949	258	22	:	:	PUNCT
cana-949	258	23	1074	1074	NUM
cana-949	258	24	-	-	PUNCT
cana-949	258	25	133x	133x	NUM
cana-949	258	26	vol	vol	NOUN
cana-949	258	27	31	31	NUM
cana-949	258	28	no	no	NOUN
cana-949	258	29	.	.	PUNCT
cana-949	259	1	4s	4s	NUM
cana-949	259	2	(	(	PUNCT
cana-949	259	3	2024	2024	NUM
cana-949	259	4	)	)	PUNCT
cana-949	259	5	552	552	NUM
cana-949	259	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	259	7	∑	∑	PUNCT
cana-949	259	8	∑	∑	PUNCT
cana-949	259	9	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	259	10	𝑛	𝑛	PRON
cana-949	259	11	𝑗=1	𝑗=1	PROPN
cana-949	259	12	𝑚	𝑚	X
cana-949	259	13	𝑖=1	𝑖=1	PUNCT
cana-949	259	14	≤	≤	ADJ
cana-949	259	15	𝛽𝑒𝑘	𝛽𝑒𝑘	NOUN
cana-949	259	16	+	+	CCONJ
cana-949	259	17	𝛾𝑒𝑘{−	𝛾𝑒𝑘{−	VERB
cana-949	259	18	ln(𝑃𝑒𝑘	ln(𝑃𝑒𝑘	PROPN
cana-949	259	19	)	)	PUNCT
cana-949	259	20	}	}	PUNCT
cana-949	259	21	1	1	NUM
cana-949	259	22	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	259	23	,	,	PUNCT
cana-949	259	24	𝑘	𝑘	PRON
cana-949	259	25	∈	∈	PROPN
cana-949	259	26	𝑢3	𝑢3	NOUN
cana-949	259	27	,	,	PUNCT
cana-949	259	28	(	(	PUNCT
cana-949	259	29	74	74	X
cana-949	259	30	)	)	PUNCT
cana-949	259	31	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	259	32	≥	≥	NOUN
cana-949	259	33	0	0	NUM
cana-949	259	34	,	,	PUNCT
cana-949	259	35	𝑖	𝑖	PRON
cana-949	259	36	,	,	PUNCT
cana-949	259	37	𝑗	𝑗	INTJ
cana-949	259	38	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-949	259	39	𝑘	𝑘	NOUN
cana-949	259	40	,	,	PUNCT
cana-949	259	41	(	(	PUNCT
cana-949	259	42	75	75	NUM
cana-949	259	43	)	)	PUNCT
cana-949	259	44	6	6	NUM
cana-949	259	45	.	.	PUNCT
cana-949	260	1	algorithm	algorithm	NOUN
cana-949	260	2	for	for	ADP
cana-949	260	3	optimization	optimization	NOUN
cana-949	260	4	method	method	NOUN
cana-949	260	5	for	for	ADP
cana-949	260	6	optimize	optimize	NOUN
cana-949	260	7	the	the	DET
cana-949	260	8	sfstpmc	sfstpmc	NOUN
cana-949	260	9	model	model	NOUN
cana-949	260	10	is	be	AUX
cana-949	260	11	shows	show	NOUN
cana-949	260	12	as	as	ADP
cana-949	260	13	below	below	ADV
cana-949	260	14	:	:	PUNCT
cana-949	260	15	step	step	NOUN
cana-949	260	16	1	1	NUM
cana-949	260	17	:	:	PUNCT
cana-949	260	18	by	by	ADP
cana-949	260	19	utilizing	utilize	VERB
cana-949	260	20	alpha	alpha	NOUN
cana-949	260	21	cut	cut	NOUN
cana-949	260	22	method	method	NOUN
cana-949	261	1	,	,	PUNCT
cana-949	261	2	we	we	PRON
cana-949	261	3	convert	convert	VERB
cana-949	261	4	cost	cost	NOUN
cana-949	261	5	which	which	PRON
cana-949	261	6	is	be	AUX
cana-949	261	7	given	give	VERB
cana-949	261	8	as	as	ADP
cana-949	261	9	triangular	triangular	NOUN
cana-949	261	10	fuzzy	fuzzy	ADJ
cana-949	261	11	problem	problem	NOUN
cana-949	261	12	into	into	ADP
cana-949	261	13	deterministic	deterministic	ADJ
cana-949	261	14	equivalent	equivalent	ADJ
cana-949	261	15	form	form	NOUN
cana-949	261	16	.	.	PUNCT
cana-949	262	1	step	step	NOUN
cana-949	262	2	2	2	NUM
cana-949	262	3	:	:	PUNCT
cana-949	262	4	then	then	ADV
cana-949	262	5	,	,	PUNCT
cana-949	262	6	get	get	VERB
cana-949	262	7	4	4	NUM
cana-949	262	8	models	model	NOUN
cana-949	262	9	by	by	ADP
cana-949	262	10	transformed	transform	VERB
cana-949	262	11	problem	problem	NOUN
cana-949	262	12	and	and	CCONJ
cana-949	262	13	its	its	PRON
cana-949	262	14	constraints	constraint	NOUN
cana-949	262	15	.	.	PUNCT
cana-949	263	1	step	step	NOUN
cana-949	263	2	3	3	NUM
cana-949	263	3	:	:	PUNCT
cana-949	263	4	in	in	ADP
cana-949	263	5	model	model	NOUN
cana-949	263	6	1	1	NUM
cana-949	263	7	we	we	PRON
cana-949	263	8	take	take	VERB
cana-949	263	9	supply	supply	NOUN
cana-949	263	10	constraint	constraint	NOUN
cana-949	263	11	𝑎𝑖	𝑎𝑖	CCONJ
cana-949	263	12	as	as	ADV
cana-949	263	13	uncertain	uncertain	ADJ
cana-949	263	14	which	which	PRON
cana-949	263	15	is	be	AUX
cana-949	263	16	probabilistic	probabilistic	ADJ
cana-949	263	17	,	,	PUNCT
cana-949	263	18	𝑒𝑘	𝑒𝑘	PROPN
cana-949	263	19	&	&	CCONJ
cana-949	263	20	𝑏𝑗	𝑏𝑗	PROPN
cana-949	263	21	as	as	ADP
cana-949	263	22	certain	certain	ADJ
cana-949	263	23	constrains	constrain	NOUN
cana-949	263	24	.	.	PUNCT
cana-949	264	1	to	to	PART
cana-949	264	2	obtain	obtain	VERB
cana-949	264	3	deterministic	deterministic	ADJ
cana-949	264	4	form	form	NOUN
cana-949	264	5	of	of	ADP
cana-949	264	6	𝑎𝑖	𝑎𝑖	DET
cana-949	264	7	supply	supply	NOUN
cana-949	264	8	constraints	constraint	NOUN
cana-949	264	9	(	(	PUNCT
cana-949	264	10	33	33	NUM
cana-949	264	11	)	)	PUNCT
cana-949	264	12	to	to	ADP
cana-949	264	13	(	(	PUNCT
cana-949	264	14	35	35	NUM
cana-949	264	15	)	)	PUNCT
cana-949	264	16	,	,	PUNCT
cana-949	264	17	we	we	PRON
cana-949	264	18	use	use	VERB
cana-949	264	19	weibull	weibull	NOUN
cana-949	264	20	distribution	distribution	NOUN
cana-949	264	21	.	.	PUNCT
cana-949	265	1	with	with	ADP
cana-949	265	2	the	the	DET
cana-949	265	3	minimum	minimum	ADJ
cana-949	265	4	deterministic	deterministic	ADJ
cana-949	265	5	cost	cost	NOUN
cana-949	265	6	,	,	PUNCT
cana-949	265	7	deterministic	deterministic	ADJ
cana-949	265	8	supply	supply	NOUN
cana-949	265	9	constraints	constraint	NOUN
cana-949	265	10	(	(	PUNCT
cana-949	265	11	33	33	NUM
cana-949	265	12	)	)	PUNCT
cana-949	265	13	to	to	ADP
cana-949	265	14	(	(	PUNCT
cana-949	265	15	35	35	NUM
cana-949	265	16	)	)	PUNCT
cana-949	265	17	,	,	PUNCT
cana-949	265	18	certain	certain	ADJ
cana-949	265	19	demand	demand	NOUN
cana-949	265	20	constraint	constraint	NOUN
cana-949	265	21	(	(	PUNCT
cana-949	265	22	36	36	NUM
cana-949	265	23	)	)	PUNCT
cana-949	265	24	to	to	ADP
cana-949	265	25	(	(	PUNCT
cana-949	265	26	38	38	NUM
cana-949	265	27	)	)	PUNCT
cana-949	265	28	and	and	CCONJ
cana-949	265	29	certain	certain	ADJ
cana-949	265	30	conveyance	conveyance	NOUN
cana-949	265	31	capacity	capacity	NOUN
cana-949	265	32	constraint	constraint	NOUN
cana-949	265	33	(	(	PUNCT
cana-949	265	34	39	39	NUM
cana-949	265	35	)	)	PUNCT
cana-949	265	36	to	to	ADP
cana-949	265	37	(	(	PUNCT
cana-949	265	38	41	41	NUM
cana-949	265	39	)	)	PUNCT
cana-949	265	40	,	,	PUNCT
cana-949	265	41	formulate	formulate	VERB
cana-949	265	42	the	the	DET
cana-949	265	43	problem	problem	NOUN
cana-949	265	44	(	(	PUNCT
cana-949	265	45	r1	r1	PROPN
cana-949	265	46	)	)	PUNCT
cana-949	265	47	.	.	PUNCT
cana-949	266	1	to	to	PART
cana-949	266	2	get	get	VERB
cana-949	266	3	the	the	DET
cana-949	266	4	optimal	optimal	ADJ
cana-949	266	5	cost	cost	NOUN
cana-949	266	6	of	of	ADP
cana-949	266	7	transportation	transportation	NOUN
cana-949	266	8	and	and	CCONJ
cana-949	266	9	flow	flow	NOUN
cana-949	266	10	of	of	ADP
cana-949	266	11	unit	unit	NOUN
cana-949	266	12	we	we	PRON
cana-949	266	13	optimize	optimize	VERB
cana-949	266	14	the	the	DET
cana-949	266	15	problem	problem	NOUN
cana-949	266	16	(	(	PUNCT
cana-949	266	17	r1	r1	PROPN
cana-949	266	18	)	)	PUNCT
cana-949	266	19	at	at	ADP
cana-949	266	20	zero	zero	NUM
cana-949	266	21	level	level	NOUN
cana-949	266	22	of	of	ADP
cana-949	266	23	alpha	alpha	NOUN
cana-949	266	24	,	,	PUNCT
cana-949	266	25	and	and	CCONJ
cana-949	266	26	then	then	ADV
cana-949	266	27	use	use	VERB
cana-949	266	28	lingo	lingo	NOUN
cana-949	266	29	software	software	NOUN
cana-949	266	30	.	.	PUNCT
cana-949	267	1	step	step	NOUN
cana-949	267	2	4	4	NUM
cana-949	267	3	:	:	PUNCT
cana-949	267	4	in	in	ADP
cana-949	267	5	model	model	NOUN
cana-949	267	6	2	2	NUM
cana-949	267	7	we	we	PRON
cana-949	267	8	take	take	VERB
cana-949	267	9	only	only	ADV
cana-949	267	10	demand	demand	NOUN
cana-949	267	11	constraint	constraint	NOUN
cana-949	267	12	𝑏𝑗	𝑏𝑗	PROPN
cana-949	267	13	as	as	ADP
cana-949	267	14	uncertain	uncertain	ADJ
cana-949	267	15	which	which	PRON
cana-949	267	16	is	be	AUX
cana-949	267	17	probabilistic	probabilistic	ADJ
cana-949	267	18	and	and	CCONJ
cana-949	267	19	remaining	remain	VERB
cana-949	267	20	constraints	constraint	NOUN
cana-949	267	21	as	as	ADP
cana-949	267	22	certain	certain	ADJ
cana-949	267	23	.	.	PUNCT
cana-949	268	1	to	to	PART
cana-949	268	2	obtain	obtain	VERB
cana-949	268	3	deterministic	deterministic	ADJ
cana-949	268	4	form	form	NOUN
cana-949	268	5	of	of	ADP
cana-949	268	6	𝑏𝑗	𝑏𝑗	PROPN
cana-949	268	7	(	(	PUNCT
cana-949	268	8	47	47	NUM
cana-949	268	9	)	)	PUNCT
cana-949	268	10	to	to	ADP
cana-949	268	11	(	(	PUNCT
cana-949	268	12	49	49	NUM
cana-949	268	13	)	)	PUNCT
cana-949	268	14	,	,	PUNCT
cana-949	268	15	we	we	PRON
cana-949	268	16	use	use	VERB
cana-949	268	17	weibull	weibull	NOUN
cana-949	268	18	distribution	distribution	NOUN
cana-949	268	19	.	.	PUNCT
cana-949	269	1	with	with	ADP
cana-949	269	2	the	the	DET
cana-949	269	3	minimum	minimum	ADJ
cana-949	269	4	deterministic	deterministic	ADJ
cana-949	269	5	cost	cost	NOUN
cana-949	269	6	,	,	PUNCT
cana-949	269	7	deterministic	deterministic	ADJ
cana-949	269	8	demand	demand	NOUN
cana-949	269	9	constraint	constraint	NOUN
cana-949	269	10	(	(	PUNCT
cana-949	269	11	47	47	NUM
cana-949	269	12	)	)	PUNCT
cana-949	269	13	to	to	ADP
cana-949	269	14	(	(	PUNCT
cana-949	269	15	49	49	NUM
cana-949	269	16	)	)	PUNCT
cana-949	269	17	,	,	PUNCT
cana-949	269	18	certain	certain	ADJ
cana-949	269	19	supply	supply	NOUN
cana-949	269	20	constraint	constraint	NOUN
cana-949	269	21	(	(	PUNCT
cana-949	269	22	44	44	NUM
cana-949	269	23	)	)	PUNCT
cana-949	269	24	to	to	ADP
cana-949	269	25	(	(	PUNCT
cana-949	269	26	46	46	NUM
cana-949	269	27	)	)	PUNCT
cana-949	269	28	and	and	CCONJ
cana-949	269	29	certain	certain	ADJ
cana-949	269	30	conveyance	conveyance	NOUN
cana-949	269	31	capacity	capacity	NOUN
cana-949	269	32	constraint	constraint	NOUN
cana-949	269	33	(	(	PUNCT
cana-949	269	34	50	50	NUM
cana-949	269	35	)	)	PUNCT
cana-949	269	36	to	to	ADP
cana-949	269	37	(	(	PUNCT
cana-949	269	38	52	52	NUM
cana-949	269	39	)	)	PUNCT
cana-949	269	40	,	,	PUNCT
cana-949	269	41	formulate	formulate	VERB
cana-949	269	42	the	the	DET
cana-949	269	43	problem	problem	NOUN
cana-949	269	44	(	(	PUNCT
cana-949	269	45	r2	r2	PROPN
cana-949	269	46	)	)	PUNCT
cana-949	269	47	.	.	PUNCT
cana-949	270	1	to	to	PART
cana-949	270	2	get	get	VERB
cana-949	270	3	the	the	DET
cana-949	270	4	optimal	optimal	ADJ
cana-949	270	5	cost	cost	NOUN
cana-949	270	6	of	of	ADP
cana-949	270	7	transportation	transportation	NOUN
cana-949	270	8	and	and	CCONJ
cana-949	270	9	flow	flow	NOUN
cana-949	270	10	of	of	ADP
cana-949	270	11	unit	unit	NOUN
cana-949	270	12	we	we	PRON
cana-949	270	13	optimize	optimize	VERB
cana-949	270	14	the	the	DET
cana-949	270	15	problem	problem	NOUN
cana-949	270	16	(	(	PUNCT
cana-949	270	17	r2	r2	PROPN
cana-949	270	18	)	)	PUNCT
cana-949	270	19	at	at	ADP
cana-949	270	20	zero	zero	NUM
cana-949	270	21	level	level	NOUN
cana-949	270	22	of	of	ADP
cana-949	270	23	alpha	alpha	NOUN
cana-949	270	24	,	,	PUNCT
cana-949	270	25	and	and	CCONJ
cana-949	270	26	then	then	ADV
cana-949	270	27	use	use	VERB
cana-949	270	28	lingo	lingo	NOUN
cana-949	270	29	software	software	NOUN
cana-949	270	30	.	.	PUNCT
cana-949	271	1	step	step	NOUN
cana-949	271	2	5	5	NUM
cana-949	271	3	:	:	PUNCT
cana-949	271	4	in	in	ADP
cana-949	271	5	model	model	NOUN
cana-949	271	6	3	3	NUM
cana-949	271	7	we	we	PRON
cana-949	271	8	take	take	VERB
cana-949	271	9	conveyance	conveyance	NOUN
cana-949	271	10	capacity	capacity	NOUN
cana-949	271	11	constraint	constraint	NOUN
cana-949	271	12	𝑒𝑘	𝑒𝑘	PRON
cana-949	271	13	as	as	ADV
cana-949	271	14	uncertain	uncertain	ADJ
cana-949	271	15	which	which	PRON
cana-949	271	16	is	be	AUX
cana-949	271	17	probabilistic	probabilistic	ADJ
cana-949	271	18	and	and	CCONJ
cana-949	271	19	remaining	remaining	ADJ
cana-949	271	20	constraint	constraint	NOUN
cana-949	271	21	as	as	ADP
cana-949	271	22	certain	certain	ADJ
cana-949	271	23	.	.	PUNCT
cana-949	272	1	to	to	PART
cana-949	272	2	obtain	obtain	VERB
cana-949	272	3	deterministic	deterministic	ADJ
cana-949	272	4	form	form	NOUN
cana-949	272	5	of	of	ADP
cana-949	272	6	𝑒𝑘	𝑒𝑘	PROPN
cana-949	272	7	(	(	PUNCT
cana-949	272	8	61	61	NUM
cana-949	272	9	)	)	PUNCT
cana-949	272	10	to	to	ADP
cana-949	272	11	(	(	PUNCT
cana-949	272	12	63	63	NUM
cana-949	272	13	)	)	PUNCT
cana-949	272	14	,	,	PUNCT
cana-949	272	15	we	we	PRON
cana-949	272	16	use	use	VERB
cana-949	272	17	weibull	weibull	NOUN
cana-949	272	18	distribution	distribution	NOUN
cana-949	272	19	.	.	PUNCT
cana-949	273	1	with	with	ADP
cana-949	273	2	the	the	DET
cana-949	273	3	minimum	minimum	ADJ
cana-949	273	4	deterministic	deterministic	ADJ
cana-949	273	5	cost	cost	NOUN
cana-949	273	6	,	,	PUNCT
cana-949	273	7	deterministic	deterministic	ADJ
cana-949	273	8	conveyance	conveyance	NOUN
cana-949	273	9	capacity	capacity	NOUN
cana-949	273	10	(	(	PUNCT
cana-949	273	11	61	61	NUM
cana-949	273	12	)	)	PUNCT
cana-949	273	13	to	to	ADP
cana-949	273	14	(	(	PUNCT
cana-949	273	15	63	63	NUM
cana-949	273	16	)	)	PUNCT
cana-949	273	17	,	,	PUNCT
cana-949	273	18	certain	certain	ADJ
cana-949	273	19	supply	supply	NOUN
cana-949	273	20	constraint	constraint	NOUN
cana-949	273	21	(	(	PUNCT
cana-949	273	22	55	55	NUM
cana-949	273	23	)	)	PUNCT
cana-949	273	24	to	to	ADP
cana-949	273	25	(	(	PUNCT
cana-949	273	26	57	57	NUM
cana-949	273	27	)	)	PUNCT
cana-949	273	28	and	and	CCONJ
cana-949	273	29	certain	certain	ADJ
cana-949	273	30	demand	demand	NOUN
cana-949	273	31	constraint	constraint	NOUN
cana-949	273	32	(	(	PUNCT
cana-949	273	33	58	58	NUM
cana-949	273	34	)	)	PUNCT
cana-949	273	35	to	to	ADP
cana-949	273	36	(	(	PUNCT
cana-949	273	37	60	60	NUM
cana-949	273	38	)	)	PUNCT
cana-949	273	39	,	,	PUNCT
cana-949	273	40	formulate	formulate	VERB
cana-949	273	41	the	the	DET
cana-949	273	42	problem	problem	NOUN
cana-949	273	43	(	(	PUNCT
cana-949	273	44	r3	r3	PROPN
cana-949	273	45	)	)	PUNCT
cana-949	273	46	.	.	PUNCT
cana-949	274	1	to	to	PART
cana-949	274	2	get	get	VERB
cana-949	274	3	the	the	DET
cana-949	274	4	optimal	optimal	ADJ
cana-949	274	5	cost	cost	NOUN
cana-949	274	6	of	of	ADP
cana-949	274	7	transportation	transportation	NOUN
cana-949	274	8	and	and	CCONJ
cana-949	274	9	flow	flow	NOUN
cana-949	274	10	of	of	ADP
cana-949	274	11	unit	unit	NOUN
cana-949	274	12	we	we	PRON
cana-949	274	13	optimize	optimize	VERB
cana-949	274	14	the	the	DET
cana-949	274	15	problem	problem	NOUN
cana-949	274	16	(	(	PUNCT
cana-949	274	17	r3	r3	NOUN
cana-949	274	18	)	)	PUNCT
cana-949	274	19	at	at	ADP
cana-949	274	20	zero	zero	NUM
cana-949	274	21	level	level	NOUN
cana-949	274	22	of	of	ADP
cana-949	274	23	alpha	alpha	NOUN
cana-949	274	24	,	,	PUNCT
cana-949	274	25	and	and	CCONJ
cana-949	274	26	then	then	ADV
cana-949	274	27	use	use	VERB
cana-949	274	28	lingo	lingo	NOUN
cana-949	274	29	software	software	NOUN
cana-949	274	30	.	.	PUNCT
cana-949	275	1	step	step	NOUN
cana-949	275	2	6	6	NUM
cana-949	275	3	:	:	PUNCT
cana-949	275	4	in	in	ADP
cana-949	275	5	model	model	NOUN
cana-949	275	6	4	4	NUM
cana-949	275	7	we	we	PRON
cana-949	275	8	take	take	VERB
cana-949	275	9	𝑎𝑖	𝑎𝑖	ADV
cana-949	275	10	,	,	PUNCT
cana-949	275	11	𝑏𝑗	𝑏𝑗	PROPN
cana-949	275	12	and	and	CCONJ
cana-949	275	13	𝑒𝑘	𝑒𝑘	X
cana-949	275	14	as	as	ADP
cana-949	275	15	probabilistic	probabilistic	ADJ
cana-949	275	16	uncertain	uncertain	ADJ
cana-949	275	17	variables	variable	NOUN
cana-949	275	18	.	.	PUNCT
cana-949	276	1	to	to	PART
cana-949	276	2	obtain	obtain	VERB
cana-949	276	3	deterministic	deterministic	ADJ
cana-949	276	4	form	form	NOUN
cana-949	276	5	of	of	ADP
cana-949	276	6	supply	supply	NOUN
cana-949	276	7	,	,	PUNCT
cana-949	276	8	demand	demand	NOUN
cana-949	276	9	and	and	CCONJ
cana-949	276	10	conveyance	conveyance	NOUN
cana-949	276	11	capacity	capacity	NOUN
cana-949	276	12	constraint	constraint	NOUN
cana-949	276	13	(	(	PUNCT
cana-949	276	14	66	66	NUM
cana-949	276	15	)	)	PUNCT
cana-949	276	16	to	to	ADP
cana-949	276	17	(	(	PUNCT
cana-949	276	18	74	74	NUM
cana-949	276	19	)	)	PUNCT
cana-949	276	20	,	,	PUNCT
cana-949	276	21	we	we	PRON
cana-949	276	22	use	use	VERB
cana-949	276	23	weibull	weibull	NOUN
cana-949	276	24	distribution	distribution	NOUN
cana-949	276	25	.	.	PUNCT
cana-949	277	1	with	with	ADP
cana-949	277	2	the	the	DET
cana-949	277	3	minimum	minimum	ADJ
cana-949	277	4	deterministic	deterministic	ADJ
cana-949	277	5	cost	cost	NOUN
cana-949	277	6	,	,	PUNCT
cana-949	277	7	deterministic	deterministic	ADJ
cana-949	277	8	constraints	constraint	NOUN
cana-949	277	9	(	(	PUNCT
cana-949	277	10	66	66	NUM
cana-949	277	11	)	)	PUNCT
cana-949	277	12	to	to	ADP
cana-949	277	13	(	(	PUNCT
cana-949	277	14	74	74	NUM
cana-949	277	15	)	)	PUNCT
cana-949	277	16	,	,	PUNCT
cana-949	277	17	formulate	formulate	VERB
cana-949	277	18	the	the	DET
cana-949	277	19	problem	problem	NOUN
cana-949	277	20	(	(	PUNCT
cana-949	277	21	r4	r4	NOUN
cana-949	277	22	)	)	PUNCT
cana-949	277	23	.	.	PUNCT
cana-949	278	1	to	to	PART
cana-949	278	2	get	get	VERB
cana-949	278	3	the	the	DET
cana-949	278	4	optimal	optimal	ADJ
cana-949	278	5	cost	cost	NOUN
cana-949	278	6	of	of	ADP
cana-949	278	7	transportation	transportation	NOUN
cana-949	278	8	and	and	CCONJ
cana-949	278	9	flow	flow	NOUN
cana-949	278	10	of	of	ADP
cana-949	278	11	unit	unit	NOUN
cana-949	278	12	we	we	PRON
cana-949	278	13	optimize	optimize	VERB
cana-949	278	14	the	the	DET
cana-949	278	15	problem	problem	NOUN
cana-949	278	16	(	(	PUNCT
cana-949	278	17	r4	r4	PROPN
cana-949	278	18	)	)	PUNCT
cana-949	278	19	at	at	ADP
cana-949	278	20	zero	zero	NUM
cana-949	278	21	level	level	NOUN
cana-949	278	22	of	of	ADP
cana-949	278	23	alpha	alpha	NOUN
cana-949	278	24	,	,	PUNCT
cana-949	278	25	and	and	CCONJ
cana-949	278	26	then	then	ADV
cana-949	278	27	use	use	VERB
cana-949	278	28	lingo	lingo	NOUN
cana-949	278	29	software	software	NOUN
cana-949	278	30	.	.	PUNCT
cana-949	279	1	step	step	NOUN
cana-949	279	2	7	7	NUM
cana-949	279	3	:	:	PUNCT
cana-949	279	4	for	for	ADP
cana-949	279	5	varying	vary	VERB
cana-949	279	6	alpha	alpha	ADJ
cana-949	279	7	values	value	NOUN
cana-949	279	8	,	,	PUNCT
cana-949	279	9	repeat	repeat	VERB
cana-949	279	10	above	above	ADP
cana-949	279	11	steps	step	NOUN
cana-949	279	12	from	from	ADP
cana-949	279	13	3	3	NUM
cana-949	279	14	to	to	ADP
cana-949	279	15	6	6	NUM
cana-949	279	16	,	,	PUNCT
cana-949	279	17	to	to	PART
cana-949	279	18	determine	determine	VERB
cana-949	279	19	the	the	DET
cana-949	279	20	optimal	optimal	ADJ
cana-949	279	21	cost	cost	NOUN
cana-949	279	22	of	of	ADP
cana-949	279	23	transportation	transportation	NOUN
cana-949	279	24	and	and	CCONJ
cana-949	279	25	flow	flow	NOUN
cana-949	279	26	of	of	ADP
cana-949	279	27	unit	unit	NOUN
cana-949	279	28	.	.	PUNCT
cana-949	280	1	6.1	6.1	NUM
cana-949	280	2	.	.	PUNCT
cana-949	280	3	computational	computational	ADJ
cana-949	280	4	analysis	analysis	NOUN
cana-949	280	5	to	to	PART
cana-949	280	6	show	show	VERB
cana-949	280	7	the	the	DET
cana-949	280	8	applicability	applicability	NOUN
cana-949	280	9	and	and	CCONJ
cana-949	280	10	effectiveness	effectiveness	NOUN
cana-949	280	11	of	of	ADP
cana-949	280	12	sfstpmc	sfstpmc	NOUN
cana-949	280	13	and	and	CCONJ
cana-949	280	14	its	its	PRON
cana-949	280	15	different	different	ADJ
cana-949	280	16	versions	version	NOUN
cana-949	280	17	,	,	PUNCT
cana-949	280	18	offers	offer	VERB
cana-949	280	19	a	a	DET
cana-949	280	20	numerical	numerical	ADJ
cana-949	280	21	example	example	NOUN
cana-949	280	22	in	in	ADP
cana-949	280	23	this	this	DET
cana-949	280	24	section	section	NOUN
cana-949	280	25	.	.	PUNCT
cana-949	281	1	the	the	DET
cana-949	281	2	food	food	NOUN
cana-949	281	3	factory	factory	NOUN
cana-949	281	4	supplies	supply	VERB
cana-949	281	5	homogeneous	homogeneous	ADJ
cana-949	281	6	items	item	NOUN
cana-949	281	7	,	,	PUNCT
cana-949	281	8	and	and	CCONJ
cana-949	281	9	there	there	PRON
cana-949	281	10	are	be	VERB
cana-949	281	11	three	three	NUM
cana-949	281	12	food	food	NOUN
cana-949	281	13	factories	factory	NOUN
cana-949	281	14	and	and	CCONJ
cana-949	281	15	four	four	NUM
cana-949	281	16	warehouses	warehouse	NOUN
cana-949	281	17	.	.	PUNCT
cana-949	282	1	food	food	NOUN
cana-949	282	2	factory	factory	NOUN
cana-949	282	3	a	a	PRON
cana-949	282	4	has	have	VERB
cana-949	282	5	capacity	capacity	NOUN
cana-949	282	6	of	of	ADP
cana-949	282	7	production	production	NOUN
cana-949	282	8	at	at	ADP
cana-949	282	9	least	least	ADJ
cana-949	282	10	𝑎1	𝑎1	ADJ
cana-949	282	11	units	unit	NOUN
cana-949	282	12	,	,	PUNCT
cana-949	282	13	food	food	NOUN
cana-949	282	14	factory	factory	NOUN
cana-949	282	15	communications	communication	NOUN
cana-949	282	16	on	on	ADP
cana-949	282	17	applied	apply	VERB
cana-949	282	18	nonlinear	nonlinear	ADJ
cana-949	282	19	analysis	analysis	NOUN
cana-949	282	20	issn	issn	NOUN
cana-949	282	21	:	:	PUNCT
cana-949	282	22	1074	1074	NUM
cana-949	282	23	-	-	PUNCT
cana-949	282	24	133x	133x	NUM
cana-949	282	25	vol	vol	NOUN
cana-949	282	26	31	31	NUM
cana-949	282	27	no	no	NOUN
cana-949	282	28	.	.	PUNCT
cana-949	283	1	4s	4s	NUM
cana-949	283	2	(	(	PUNCT
cana-949	283	3	2024	2024	NUM
cana-949	283	4	)	)	PUNCT
cana-949	283	5	553	553	NUM
cana-949	283	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	283	7	b	b	PROPN
cana-949	283	8	has	have	VERB
cana-949	283	9	capacity	capacity	NOUN
cana-949	283	10	of	of	ADP
cana-949	283	11	production	production	NOUN
cana-949	283	12	exactly	exactly	ADV
cana-949	283	13	𝑎2units	𝑎2unit	NOUN
cana-949	283	14	,	,	PUNCT
cana-949	283	15	and	and	CCONJ
cana-949	283	16	food	food	NOUN
cana-949	283	17	factory	factory	NOUN
cana-949	283	18	c	c	PROPN
cana-949	283	19	has	have	VERB
cana-949	283	20	capacity	capacity	NOUN
cana-949	283	21	of	of	ADP
cana-949	283	22	production	production	NOUN
cana-949	283	23	at	at	ADP
cana-949	283	24	most	most	ADJ
cana-949	283	25	𝑎3	𝑎3	ADJ
cana-949	283	26	units	unit	NOUN
cana-949	283	27	.	.	PUNCT
cana-949	284	1	similarly	similarly	ADV
cana-949	284	2	,	,	PUNCT
cana-949	284	3	warehouse	warehouse	NOUN
cana-949	284	4	1	1	NUM
cana-949	284	5	has	have	VERB
cana-949	284	6	demand	demand	NOUN
cana-949	284	7	’s	’s	PART
cana-949	284	8	capacity	capacity	NOUN
cana-949	284	9	at	at	ADP
cana-949	284	10	most	most	ADJ
cana-949	284	11	𝑏1	𝑏1	ADJ
cana-949	284	12	units	unit	NOUN
cana-949	284	13	,	,	PUNCT
cana-949	284	14	warehouse	warehouse	NOUN
cana-949	284	15	2	2	NUM
cana-949	284	16	has	have	VERB
cana-949	284	17	demand	demand	NOUN
cana-949	284	18	’s	’s	PART
cana-949	284	19	capacity	capacity	NOUN
cana-949	284	20	at	at	ADP
cana-949	284	21	least	least	ADJ
cana-949	284	22	𝑏2	𝑏2	NOUN
cana-949	284	23	units	unit	NOUN
cana-949	284	24	,	,	PUNCT
cana-949	284	25	warehouse	warehouse	NOUN
cana-949	284	26	3	3	NUM
cana-949	284	27	has	have	VERB
cana-949	284	28	demand	demand	NOUN
cana-949	284	29	’s	’s	PART
cana-949	284	30	capacity	capacity	NOUN
cana-949	284	31	at	at	ADP
cana-949	284	32	exactly	exactly	ADV
cana-949	284	33	𝑏3	𝑏3	NOUN
cana-949	284	34	units	unit	NOUN
cana-949	284	35	,	,	PUNCT
cana-949	284	36	and	and	CCONJ
cana-949	284	37	warehouse	warehouse	NOUN
cana-949	284	38	4	4	NUM
cana-949	284	39	has	have	VERB
cana-949	284	40	demand	demand	NOUN
cana-949	284	41	’s	’s	PART
cana-949	284	42	capacity	capacity	NOUN
cana-949	284	43	at	at	ADP
cana-949	284	44	least	least	ADJ
cana-949	284	45	𝑏4	𝑏4	VERB
cana-949	284	46	units	unit	NOUN
cana-949	284	47	.	.	PUNCT
cana-949	285	1	appropriate	appropriate	ADJ
cana-949	285	2	conveyance	conveyance	NOUN
cana-949	285	3	is	be	AUX
cana-949	285	4	accommodated	accommodate	VERB
cana-949	285	5	by	by	ADP
cana-949	285	6	food	food	NOUN
cana-949	285	7	factory	factory	NOUN
cana-949	285	8	supplier	supplier	NOUN
cana-949	285	9	.	.	PUNCT
cana-949	286	1	also	also	ADV
cana-949	286	2	,	,	PUNCT
cana-949	286	3	address	address	VERB
cana-949	286	4	two	two	NUM
cana-949	286	5	conveyances	conveyance	NOUN
cana-949	286	6	in	in	ADP
cana-949	286	7	this	this	DET
cana-949	286	8	problem	problem	NOUN
cana-949	286	9	along	along	ADP
cana-949	286	10	with	with	ADP
cana-949	286	11	their	their	PRON
cana-949	286	12	different	different	ADJ
cana-949	286	13	loading	loading	NOUN
cana-949	286	14	capacities	capacity	NOUN
cana-949	286	15	which	which	PRON
cana-949	286	16	are	be	AUX
cana-949	286	17	denoted	denote	VERB
cana-949	286	18	as	as	ADP
cana-949	286	19	for	for	ADP
cana-949	286	20	first	first	ADJ
cana-949	286	21	conveyance	conveyance	NOUN
cana-949	286	22	has	have	AUX
cana-949	286	23	loading	load	VERB
cana-949	286	24	capacity	capacity	NOUN
cana-949	286	25	at	at	ADP
cana-949	286	26	least	least	ADJ
cana-949	286	27	𝑒1	𝑒1	NOUN
cana-949	286	28	units	unit	NOUN
cana-949	286	29	and	and	CCONJ
cana-949	286	30	for	for	ADP
cana-949	286	31	second	second	ADJ
cana-949	286	32	conveyance	conveyance	NOUN
cana-949	286	33	has	have	AUX
cana-949	286	34	loading	load	VERB
cana-949	286	35	capacity	capacity	NOUN
cana-949	286	36	at	at	ADP
cana-949	286	37	most	most	ADJ
cana-949	286	38	𝑒2	𝑒2	PROPN
cana-949	286	39	units	unit	NOUN
cana-949	286	40	.	.	PUNCT
cana-949	287	1	the	the	DET
cana-949	287	2	cost	cost	NOUN
cana-949	287	3	of	of	ADP
cana-949	287	4	transportation	transportation	NOUN
cana-949	287	5	per	per	ADP
cana-949	287	6	unit	unit	NOUN
cana-949	287	7	from	from	ADP
cana-949	287	8	every	every	DET
cana-949	287	9	food	food	NOUN
cana-949	287	10	factory	factory	NOUN
cana-949	287	11	to	to	ADP
cana-949	287	12	each	each	DET
cana-949	287	13	warehouse	warehouse	NOUN
cana-949	287	14	represented	represent	VERB
cana-949	287	15	as	as	ADP
cana-949	287	16	triangular	triangular	NOUN
cana-949	287	17	fuzzy	fuzzy	ADJ
cana-949	287	18	numbers	number	NOUN
cana-949	287	19	which	which	PRON
cana-949	287	20	is	be	AUX
cana-949	287	21	denoted	denote	VERB
cana-949	287	22	as	as	ADP
cana-949	287	23	�	�	PROPN
cana-949	287	24	̃	̃	PROPN
cana-949	287	25	�	�	NOUN
cana-949	287	26	𝑖𝑗𝑘	𝑖𝑗𝑘	NUM
cana-949	287	27	,	,	PUNCT
cana-949	287	28	and	and	CCONJ
cana-949	287	29	cost	cost	VERB
cana-949	287	30	for	for	ADP
cana-949	287	31	two	two	NUM
cana-949	287	32	conveyance	conveyance	NOUN
cana-949	287	33	is	be	AUX
cana-949	287	34	represented	represent	VERB
cana-949	287	35	as	as	ADP
cana-949	287	36	𝑐𝑖𝑗1and	𝑐𝑖𝑗1and	ADJ
cana-949	287	37	𝑐𝑖𝑗2	𝑐𝑖𝑗2	PROPN
cana-949	287	38	shown	show	VERB
cana-949	287	39	in	in	ADP
cana-949	287	40	table	table	NOUN
cana-949	287	41	1	1	NUM
cana-949	287	42	and	and	CCONJ
cana-949	287	43	2	2	NUM
cana-949	287	44	respectively	respectively	ADV
cana-949	287	45	.	.	PUNCT
cana-949	288	1	the	the	DET
cana-949	288	2	supply	supply	NOUN
cana-949	288	3	of	of	ADP
cana-949	288	4	the	the	DET
cana-949	288	5	fresh	fresh	ADJ
cana-949	288	6	food	food	NOUN
cana-949	288	7	is	be	AUX
cana-949	288	8	uncertain	uncertain	ADJ
cana-949	288	9	because	because	SCONJ
cana-949	288	10	of	of	ADP
cana-949	288	11	unpredictable	unpredictable	ADJ
cana-949	288	12	circumstances	circumstance	NOUN
cana-949	288	13	at	at	ADP
cana-949	288	14	food	food	NOUN
cana-949	288	15	factory	factory	NOUN
cana-949	288	16	such	such	ADJ
cana-949	288	17	as	as	ADP
cana-949	288	18	availability	availability	NOUN
cana-949	288	19	of	of	ADP
cana-949	288	20	labour	labour	NOUN
cana-949	288	21	and	and	CCONJ
cana-949	288	22	severity	severity	NOUN
cana-949	288	23	of	of	ADP
cana-949	288	24	weather	weather	NOUN
cana-949	288	25	.	.	PUNCT
cana-949	289	1	it	it	PRON
cana-949	289	2	is	be	AUX
cana-949	289	3	easy	easy	ADJ
cana-949	289	4	to	to	PART
cana-949	289	5	think	think	VERB
cana-949	289	6	of	of	ADP
cana-949	289	7	scenario	scenario	NOUN
cana-949	289	8	in	in	ADP
cana-949	289	9	which	which	PRON
cana-949	289	10	the	the	DET
cana-949	289	11	supply	supply	NOUN
cana-949	289	12	is	be	AUX
cana-949	289	13	uncertain	uncertain	ADJ
cana-949	289	14	,	,	PUNCT
cana-949	289	15	implementing	implement	VERB
cana-949	289	16	probability	probability	NOUN
cana-949	289	17	on	on	ADP
cana-949	289	18	such	such	ADJ
cana-949	289	19	availability	availability	NOUN
cana-949	289	20	of	of	ADP
cana-949	289	21	production	production	NOUN
cana-949	289	22	.	.	PUNCT
cana-949	290	1	therefore	therefore	ADV
cana-949	290	2	,	,	PUNCT
cana-949	290	3	𝑃𝑎1	𝑃𝑎1	NOUN
cana-949	290	4	is	be	AUX
cana-949	290	5	the	the	DET
cana-949	290	6	probability	probability	NOUN
cana-949	290	7	for	for	ADP
cana-949	290	8	food	food	NOUN
cana-949	290	9	factory	factory	NOUN
cana-949	290	10	a	a	PRON
cana-949	290	11	that	that	SCONJ
cana-949	290	12	the	the	DET
cana-949	290	13	needed	need	VERB
cana-949	290	14	quantity	quantity	NOUN
cana-949	290	15	of	of	ADP
cana-949	290	16	goods	good	NOUN
cana-949	290	17	is	be	AUX
cana-949	290	18	available	available	ADJ
cana-949	290	19	.	.	PUNCT
cana-949	291	1	similarly	similarly	ADV
cana-949	291	2	,	,	PUNCT
cana-949	291	3	𝑃𝑎2	𝑃𝑎2	NOUN
cana-949	291	4	and	and	CCONJ
cana-949	291	5	𝑃𝑎3	𝑃𝑎3	NOUN
cana-949	291	6	are	be	AUX
cana-949	291	7	the	the	DET
cana-949	291	8	probabilities	probability	NOUN
cana-949	291	9	for	for	ADP
cana-949	291	10	food	food	NOUN
cana-949	291	11	factories	factory	NOUN
cana-949	291	12	b	b	PROPN
cana-949	291	13	and	and	CCONJ
cana-949	291	14	c	c	NOUN
cana-949	291	15	respectively	respectively	ADV
cana-949	291	16	.	.	PUNCT
cana-949	292	1	the	the	DET
cana-949	292	2	demand	demand	NOUN
cana-949	292	3	for	for	ADP
cana-949	292	4	fresh	fresh	ADJ
cana-949	292	5	food	food	NOUN
cana-949	292	6	is	be	AUX
cana-949	292	7	also	also	ADV
cana-949	292	8	naturally	naturally	ADV
cana-949	292	9	unpredictable	unpredictable	ADJ
cana-949	292	10	due	due	ADP
cana-949	292	11	to	to	ADP
cana-949	292	12	inaccurate	inaccurate	ADJ
cana-949	292	13	demand	demand	NOUN
cana-949	292	14	forecast	forecast	NOUN
cana-949	292	15	,	,	PUNCT
cana-949	292	16	erratic	erratic	ADJ
cana-949	292	17	delivery	delivery	NOUN
cana-949	292	18	schedules	schedule	NOUN
cana-949	292	19	.	.	PUNCT
cana-949	293	1	thus	thus	ADV
cana-949	293	2	,	,	PUNCT
cana-949	293	3	𝑃𝑏1	𝑃𝑏1	NOUN
cana-949	293	4	is	be	AUX
cana-949	293	5	the	the	DET
cana-949	293	6	probability	probability	NOUN
cana-949	293	7	for	for	ADP
cana-949	293	8	warehouse	warehouse	NOUN
cana-949	293	9	1	1	NUM
cana-949	293	10	that	that	SCONJ
cana-949	293	11	the	the	DET
cana-949	293	12	needed	need	VERB
cana-949	293	13	expected	expected	ADJ
cana-949	293	14	demand	demand	NOUN
cana-949	293	15	.	.	PUNCT
cana-949	294	1	similarly	similarly	ADV
cana-949	294	2	,	,	PUNCT
cana-949	294	3	𝑃𝑏2	𝑃𝑏2	NOUN
cana-949	294	4	and	and	CCONJ
cana-949	294	5	𝑃𝑏3	𝑃𝑏3	NOUN
cana-949	294	6	are	be	AUX
cana-949	294	7	the	the	DET
cana-949	294	8	probabilities	probability	NOUN
cana-949	294	9	for	for	ADP
cana-949	294	10	warehouses	warehouse	NOUN
cana-949	294	11	2	2	NUM
cana-949	294	12	and	and	CCONJ
cana-949	294	13	3	3	NUM
cana-949	294	14	respectively	respectively	ADV
cana-949	294	15	.	.	PUNCT
cana-949	295	1	similarly	similarly	ADV
cana-949	295	2	,	,	PUNCT
cana-949	295	3	blockages	blockage	NOUN
cana-949	295	4	of	of	ADP
cana-949	295	5	roads	road	NOUN
cana-949	295	6	and	and	CCONJ
cana-949	295	7	traffic	traffic	NOUN
cana-949	295	8	jams	jam	NOUN
cana-949	295	9	make	make	VERB
cana-949	295	10	the	the	DET
cana-949	295	11	capacity	capacity	NOUN
cana-949	295	12	of	of	ADP
cana-949	295	13	conveyance	conveyance	NOUN
cana-949	295	14	is	be	AUX
cana-949	295	15	unpredictable	unpredictable	ADJ
cana-949	295	16	or	or	CCONJ
cana-949	295	17	uncertain	uncertain	ADJ
cana-949	295	18	.	.	PUNCT
cana-949	295	19	𝑃𝑒1	𝑃𝑒1	NOUN
cana-949	295	20	and	and	CCONJ
cana-949	295	21	𝑃𝑒2	𝑃𝑒2	NOUN
cana-949	295	22	are	be	AUX
cana-949	295	23	the	the	DET
cana-949	295	24	probabilities	probability	NOUN
cana-949	295	25	that	that	PRON
cana-949	295	26	the	the	DET
cana-949	295	27	availability	availability	NOUN
cana-949	295	28	of	of	ADP
cana-949	295	29	capacities	capacity	NOUN
cana-949	295	30	of	of	ADP
cana-949	295	31	two	two	NUM
cana-949	295	32	conveyances	conveyance	NOUN
cana-949	295	33	.	.	PUNCT
cana-949	296	1	in	in	ADP
cana-949	296	2	the	the	DET
cana-949	296	3	numerical	numerical	ADJ
cana-949	296	4	example	example	NOUN
cana-949	296	5	,	,	PUNCT
cana-949	296	6	the	the	DET
cana-949	296	7	nominal	nominal	ADJ
cana-949	296	8	values	value	NOUN
cana-949	296	9	of	of	ADP
cana-949	296	10	uncertain	uncertain	ADJ
cana-949	296	11	constants	constant	NOUN
cana-949	296	12	are	be	AUX
cana-949	296	13	taken	take	VERB
cana-949	296	14	as	as	ADP
cana-949	296	15	𝑎1	𝑎1	PROPN
cana-949	296	16	=	=	SYM
cana-949	296	17	19	19	NUM
cana-949	296	18	,	,	PUNCT
cana-949	296	19	𝑎2	𝑎2	NOUN
cana-949	296	20	=	=	SYM
cana-949	296	21	17	17	NUM
cana-949	296	22	,	,	PUNCT
cana-949	296	23	𝑎3	𝑎3	NOUN
cana-949	296	24	=	=	SYM
cana-949	296	25	23	23	NUM
cana-949	296	26	,	,	PUNCT
cana-949	296	27	𝑏1	𝑏1	NOUN
cana-949	296	28	=	=	SYM
cana-949	296	29	12	12	NUM
cana-949	296	30	,	,	PUNCT
cana-949	296	31	𝑏2	𝑏2	NOUN
cana-949	296	32	=	=	SYM
cana-949	296	33	13	13	NUM
cana-949	296	34	,	,	PUNCT
cana-949	296	35	𝑏3	𝑏3	NOUN
cana-949	296	36	=	=	SYM
cana-949	296	37	18	18	NUM
cana-949	296	38	,	,	PUNCT
cana-949	296	39	𝑏4	𝑏4	PROPN
cana-949	296	40	=	=	SYM
cana-949	296	41	15	15	NUM
cana-949	296	42	,	,	PUNCT
cana-949	296	43	𝑒1	𝑒1	NOUN
cana-949	296	44	=	=	SYM
cana-949	296	45	27	27	NUM
cana-949	296	46	and	and	CCONJ
cana-949	296	47	𝑒2	𝑒2	PROPN
cana-949	296	48	=	=	PROPN
cana-949	296	49	28	28	NUM
cana-949	296	50	.	.	PUNCT
cana-949	297	1	arbitrary	arbitrary	ADJ
cana-949	297	2	probabilities	probability	NOUN
cana-949	297	3	are	be	AUX
cana-949	297	4	𝑃𝑎1	𝑃𝑎1	NOUN
cana-949	297	5	=	=	NOUN
cana-949	297	6	0.90	0.90	NUM
cana-949	297	7	,	,	PUNCT
cana-949	297	8	𝑃𝑎2	𝑃𝑎2	NOUN
cana-949	297	9	=	=	SYM
cana-949	297	10	0.50	0.50	NUM
cana-949	297	11	,	,	PUNCT
cana-949	297	12	𝑃𝑎3	𝑃𝑎3	NOUN
cana-949	297	13	=	=	SYM
cana-949	297	14	0.85	0.85	NUM
cana-949	297	15	,	,	PUNCT
cana-949	297	16	𝑃𝑏1	𝑃𝑏1	NOUN
cana-949	297	17	=	=	SYM
cana-949	297	18	0.25	0.25	NUM
cana-949	297	19	,	,	PUNCT
cana-949	297	20	𝑃𝑏2	𝑃𝑏2	NOUN
cana-949	297	21	=	=	SYM
cana-949	297	22	0.30	0.30	NUM
cana-949	297	23	,	,	PUNCT
cana-949	297	24	𝑃𝑏3	𝑃𝑏3	NOUN
cana-949	297	25	=	=	NOUN
cana-949	297	26	0.28	0.28	NUM
cana-949	297	27	,	,	PUNCT
cana-949	297	28	𝑃𝑏4	𝑃𝑏4	NOUN
cana-949	297	29	=	=	SYM
cana-949	297	30	0.35	0.35	NUM
cana-949	297	31	,	,	PUNCT
cana-949	297	32	𝑃𝑒1	𝑃𝑒1	NOUN
cana-949	297	33	=	=	SYM
cana-949	297	34	0.07	0.07	NUM
cana-949	297	35	and	and	CCONJ
cana-949	297	36	𝑃𝑒2	𝑃𝑒2	NOUN
cana-949	297	37	=	=	SYM
cana-949	297	38	0.06	0.06	NUM
cana-949	297	39	.	.	PUNCT
cana-949	298	1	here	here	ADV
cana-949	298	2	𝑎𝑖	𝑎𝑖	ADP
cana-949	298	3	,	,	PUNCT
cana-949	298	4	&	&	CCONJ
cana-949	298	5	𝑏𝑗	𝑏𝑗	PROPN
cana-949	298	6	are	be	AUX
cana-949	298	7	uncertain	uncertain	ADJ
cana-949	298	8	and	and	CCONJ
cana-949	298	9	follows	follow	VERB
cana-949	298	10	the	the	DET
cana-949	298	11	weibull	weibull	NOUN
cana-949	298	12	distribution	distribution	NOUN
cana-949	298	13	.	.	PUNCT
cana-949	299	1	so	so	ADV
cana-949	299	2	,	,	PUNCT
cana-949	299	3	consider	consider	VERB
cana-949	299	4	different	different	ADJ
cana-949	299	5	values	value	NOUN
cana-949	299	6	for	for	ADP
cana-949	299	7	parameters	parameter	NOUN
cana-949	299	8	of	of	ADP
cana-949	299	9	the	the	DET
cana-949	299	10	weibull	weibull	NOUN
cana-949	299	11	distribution	distribution	NOUN
cana-949	299	12	as	as	ADP
cana-949	299	13	𝛽𝑎1	𝛽𝑎1	NOUN
cana-949	299	14	=	=	NOUN
cana-949	299	15	25	25	NUM
cana-949	299	16	,	,	PUNCT
cana-949	299	17	𝛽𝑎2	𝛽𝑎2	PROPN
cana-949	299	18	=	=	SYM
cana-949	299	19	18	18	NUM
cana-949	299	20	,	,	PUNCT
cana-949	299	21	𝛽𝑎3	𝛽𝑎3	PROPN
cana-949	299	22	=	=	SYM
cana-949	299	23	13	13	NUM
cana-949	299	24	,	,	PUNCT
cana-949	299	25	𝛽𝑏1	𝛽𝑏1	NOUN
cana-949	299	26	=	=	SYM
cana-949	299	27	11	11	NUM
cana-949	299	28	,	,	PUNCT
cana-949	299	29	𝛽𝑏2	𝛽𝑏2	NOUN
cana-949	299	30	=	=	SYM
cana-949	299	31	10	10	NUM
cana-949	299	32	,	,	PUNCT
cana-949	299	33	𝛽𝑏3	𝛽𝑏3	PROPN
cana-949	299	34	=	=	SYM
cana-949	299	35	16	16	NUM
cana-949	299	36	,	,	PUNCT
cana-949	299	37	𝛽𝑏4	𝛽𝑏4	NOUN
cana-949	299	38	=	=	SYM
cana-949	299	39	14	14	NUM
cana-949	299	40	,	,	PUNCT
cana-949	299	41	𝛽𝑒1	𝛽𝑒1	NOUN
cana-949	299	42	=	=	SYM
cana-949	299	43	2	2	NUM
cana-949	299	44	,	,	PUNCT
cana-949	299	45	𝛽𝑒2	𝛽𝑒2	NOUN
cana-949	299	46	=	=	SYM
cana-949	299	47	3	3	NUM
cana-949	299	48	,	,	PUNCT
cana-949	299	49	𝛿𝑎𝑖	𝛿𝑎𝑖	NUM
cana-949	299	50	=	=	SYM
cana-949	299	51	𝛿𝑏𝑗	𝛿𝑏𝑗	NOUN
cana-949	299	52	=	=	NOUN
cana-949	299	53	𝛿𝑒𝑘	𝛿𝑒𝑘	VERB
cana-949	299	54	=	=	SYM
cana-949	299	55	2	2	NUM
cana-949	299	56	,	,	PUNCT
cana-949	299	57	𝛾𝑎𝑖	𝛾𝑎𝑖	NOUN
cana-949	299	58	=	=	SYM
cana-949	299	59	𝛾𝑏𝑗	𝛾𝑏𝑗	NOUN
cana-949	299	60	=	=	NOUN
cana-949	299	61	𝛾𝑒𝑘	𝛾𝑒𝑘	NOUN
cana-949	299	62	=	=	SYM
cana-949	299	63	2	2	X
cana-949	299	64	.	.	PUNCT
cana-949	299	65	deterministic	deterministic	ADJ
cana-949	299	66	form	form	NOUN
cana-949	299	67	of	of	ADP
cana-949	299	68	constraints	constraint	NOUN
cana-949	299	69	which	which	PRON
cana-949	299	70	are	be	AUX
cana-949	299	71	probabilistic	probabilistic	ADJ
cana-949	299	72	can	can	AUX
cana-949	299	73	be	be	AUX
cana-949	299	74	obtain	obtain	VERB
cana-949	299	75	by	by	ADP
cana-949	299	76	using	use	VERB
cana-949	299	77	equations	equation	NOUN
cana-949	299	78	(	(	PUNCT
cana-949	299	79	66	66	NUM
cana-949	299	80	)	)	PUNCT
cana-949	299	81	to	to	ADP
cana-949	299	82	(	(	PUNCT
cana-949	299	83	74	74	NUM
cana-949	299	84	)	)	PUNCT
cana-949	299	85	.	.	PUNCT
cana-949	300	1	warehouse	warehouse	NOUN
cana-949	300	2	food	food	NOUN
cana-949	300	3	factory	factory	NOUN
cana-949	300	4	a	a	DET
cana-949	300	5	b	b	NOUN
cana-949	300	6	c	c	NOUN
cana-949	300	7	d	d	NOUN
cana-949	300	8	𝑎𝑖	𝑎𝑖	ADP
cana-949	300	9	1	1	NUM
cana-949	300	10	(	(	PUNCT
cana-949	300	11	2.5,3,3.5	2.5,3,3.5	NUM
cana-949	300	12	)	)	PUNCT
cana-949	300	13	(	(	PUNCT
cana-949	300	14	4,4.5,5	4,4.5,5	NUM
cana-949	300	15	)	)	PUNCT
cana-949	300	16	(	(	PUNCT
cana-949	300	17	2.5,3,3.5	2.5,3,3.5	NUM
cana-949	300	18	)	)	PUNCT
cana-949	300	19	(	(	PUNCT
cana-949	300	20	4.5,5,5.5	4.5,5,5.5	NOUN
cana-949	300	21	)	)	PUNCT
cana-949	300	22	≥	≥	NOUN
cana-949	301	1	𝑎1	𝑎1	NOUN
cana-949	301	2	2	2	NUM
cana-949	301	3	(	(	PUNCT
cana-949	301	4	0,0.5,1	0,0.5,1	NUM
cana-949	301	5	)	)	PUNCT
cana-949	301	6	(	(	PUNCT
cana-949	301	7	1.5,2,3	1.5,2,3	NUM
cana-949	301	8	)	)	PUNCT
cana-949	301	9	(	(	PUNCT
cana-949	301	10	2,2.5,3	2,2.5,3	NUM
cana-949	301	11	)	)	PUNCT
cana-949	301	12	(	(	PUNCT
cana-949	301	13	2.5,3,3.5	2.5,3,3.5	NUM
cana-949	301	14	)	)	PUNCT
cana-949	302	1	=	=	SYM
cana-949	302	2	𝑎2	𝑎2	NOUN
cana-949	302	3	3	3	NUM
cana-949	302	4	(	(	PUNCT
cana-949	302	5	4.5,5,5.5	4.5,5,5.5	NOUN
cana-949	302	6	)	)	PUNCT
cana-949	302	7	(	(	PUNCT
cana-949	302	8	7,7.5,8	7,7.5,8	NOUN
cana-949	302	9	)	)	PUNCT
cana-949	302	10	(	(	PUNCT
cana-949	302	11	6.5,7,7.5	6.5,7,7.5	NOUN
cana-949	302	12	)	)	PUNCT
cana-949	302	13	(	(	PUNCT
cana-949	302	14	5.5,6,6.5	5.5,6,6.5	X
cana-949	302	15	)	)	PUNCT
cana-949	302	16	≤	≤	NOUN
cana-949	303	1	𝑎3	𝑎3	PROPN
cana-949	303	2	𝑏𝑗	𝑏𝑗	PROPN
cana-949	303	3	≤	≤	ADJ
cana-949	303	4	𝑏1	𝑏1	ADJ
cana-949	303	5	≥	≥	NOUN
cana-949	303	6	𝑏2	𝑏2	NOUN
cana-949	303	7	=	=	SYM
cana-949	303	8	𝑏3	𝑏3	PROPN
cana-949	303	9	≥	≥	NOUN
cana-949	303	10	𝑏4	𝑏4	PROPN
cana-949	303	11	table	table	NOUN
cana-949	303	12	1	1	NUM
cana-949	303	13	:	:	PUNCT
cana-949	303	14	cost	cost	NOUN
cana-949	303	15	of	of	ADP
cana-949	303	16	transportation	transportation	NOUN
cana-949	303	17	for	for	ADP
cana-949	303	18	𝑒1	𝑒1	NOUN
cana-949	303	19	conveyance	conveyance	NOUN
cana-949	303	20	.	.	PUNCT
cana-949	304	1	warehouse	warehouse	NOUN
cana-949	304	2	food	food	NOUN
cana-949	304	3	factory	factory	NOUN
cana-949	304	4	a	a	DET
cana-949	304	5	b	b	NOUN
cana-949	304	6	c	c	NOUN
cana-949	305	1	d	d	NOUN
cana-949	305	2	𝑎𝑖	𝑎𝑖	ADP
cana-949	305	3	1	1	NUM
cana-949	305	4	(	(	PUNCT
cana-949	305	5	4.5,5,5.5	4.5,5,5.5	NOUN
cana-949	305	6	)	)	PUNCT
cana-949	305	7	(	(	PUNCT
cana-949	305	8	8.5,9,9.5	8.5,9,9.5	NUM
cana-949	305	9	)	)	PUNCT
cana-949	305	10	(	(	PUNCT
cana-949	305	11	6.5,7,7.5	6.5,7,7.5	NOUN
cana-949	305	12	)	)	PUNCT
cana-949	305	13	(	(	PUNCT
cana-949	305	14	8,8.5,9	8,8.5,9	NUM
cana-949	305	15	)	)	PUNCT
cana-949	305	16	≥	≥	NOUN
cana-949	306	1	𝑎1	𝑎1	NOUN
cana-949	306	2	2	2	NUM
cana-949	306	3	(	(	PUNCT
cana-949	306	4	2.5,3,3.5	2.5,3,3.5	NUM
cana-949	306	5	)	)	PUNCT
cana-949	306	6	(	(	PUNCT
cana-949	306	7	4.5,5,5.5	4.5,5,5.5	NOUN
cana-949	306	8	)	)	PUNCT
cana-949	306	9	(	(	PUNCT
cana-949	306	10	6.5,7,7.5	6.5,7,7.5	NOUN
cana-949	306	11	,	,	PUNCT
cana-949	306	12	)	)	PUNCT
cana-949	306	13	(	(	PUNCT
cana-949	306	14	5,5.5,6	5,5.5,6	NUM
cana-949	306	15	)	)	PUNCT
cana-949	306	16	=	=	SYM
cana-949	306	17	𝑎2	𝑎2	NOUN
cana-949	306	18	3	3	NUM
cana-949	306	19	(	(	PUNCT
cana-949	306	20	3.5,4,4.5	3.5,4,4.5	NUM
cana-949	306	21	)	)	PUNCT
cana-949	306	22	(	(	PUNCT
cana-949	306	23	6.5,7,7.5	6.5,7,7.5	NOUN
cana-949	306	24	)	)	PUNCT
cana-949	306	25	(	(	PUNCT
cana-949	306	26	4.5,5,5.5	4.5,5,5.5	NOUN
cana-949	306	27	)	)	PUNCT
cana-949	306	28	(	(	PUNCT
cana-949	306	29	5,5.5,6	5,5.5,6	NUM
cana-949	306	30	)	)	PUNCT
cana-949	306	31	≤	≤	NOUN
cana-949	307	1	𝑎3	𝑎3	PROPN
cana-949	307	2	𝑏𝑗	𝑏𝑗	PROPN
cana-949	307	3	≤	≤	ADJ
cana-949	307	4	𝑏1	𝑏1	ADJ
cana-949	307	5	≥	≥	NOUN
cana-949	307	6	𝑏2	𝑏2	NOUN
cana-949	307	7	=	=	SYM
cana-949	307	8	𝑏3	𝑏3	PROPN
cana-949	307	9	≥	≥	NOUN
cana-949	307	10	𝑏4	𝑏4	PROPN
cana-949	307	11	table	table	NOUN
cana-949	307	12	2	2	NUM
cana-949	307	13	:	:	PUNCT
cana-949	307	14	cost	cost	NOUN
cana-949	307	15	of	of	ADP
cana-949	307	16	transportation	transportation	NOUN
cana-949	307	17	for	for	ADP
cana-949	307	18	𝑒2	𝑒2	PROPN
cana-949	307	19	conveyance	conveyance	NOUN
cana-949	307	20	.	.	PUNCT
cana-949	308	1	communications	communication	NOUN
cana-949	308	2	on	on	ADP
cana-949	308	3	applied	apply	VERB
cana-949	308	4	nonlinear	nonlinear	ADJ
cana-949	308	5	analysis	analysis	NOUN
cana-949	308	6	issn	issn	NOUN
cana-949	308	7	:	:	PUNCT
cana-949	308	8	1074	1074	NUM
cana-949	308	9	-	-	PUNCT
cana-949	308	10	133x	133x	NUM
cana-949	308	11	vol	vol	NOUN
cana-949	308	12	31	31	NUM
cana-949	308	13	no	no	NOUN
cana-949	308	14	.	.	PUNCT
cana-949	309	1	4s	4s	NUM
cana-949	309	2	(	(	PUNCT
cana-949	309	3	2024	2024	NUM
cana-949	309	4	)	)	PUNCT
cana-949	309	5	554	554	NUM
cana-949	309	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	309	7	through	through	ADP
cana-949	309	8	step	step	NOUN
cana-949	309	9	1	1	NUM
cana-949	309	10	,	,	PUNCT
cana-949	309	11	deterministic	deterministic	ADJ
cana-949	309	12	form	form	NOUN
cana-949	309	13	of	of	ADP
cana-949	309	14	triangular	triangular	NOUN
cana-949	309	15	fuzzy	fuzzy	ADJ
cana-949	309	16	cost	cost	NOUN
cana-949	309	17	can	can	AUX
cana-949	309	18	be	be	AUX
cana-949	309	19	obtained	obtain	VERB
cana-949	309	20	by	by	ADP
cana-949	309	21	utilizing	utilize	VERB
cana-949	309	22	linear	linear	ADJ
cana-949	309	23	membership	membership	NOUN
cana-949	309	24	function	function	NOUN
cana-949	309	25	.	.	PUNCT
cana-949	310	1	cost	cost	NOUN
cana-949	310	2	of	of	ADP
cana-949	310	3	the	the	DET
cana-949	310	4	problem	problem	NOUN
cana-949	310	5	shows	show	VERB
cana-949	310	6	as	as	ADP
cana-949	310	7	alpha	alpha	NOUN
cana-949	310	8	cut	cut	NOUN
cana-949	310	9	representation	representation	NOUN
cana-949	310	10	for	for	ADP
cana-949	310	11	conveyance	conveyance	NOUN
cana-949	310	12	capacity	capacity	NOUN
cana-949	310	13	𝑒1	𝑒1	NOUN
cana-949	310	14	&	&	CCONJ
cana-949	310	15	𝑒2	𝑒2	PROPN
cana-949	310	16	in	in	ADP
cana-949	310	17	table	table	NOUN
cana-949	310	18	3	3	NUM
cana-949	310	19	&	&	CCONJ
cana-949	310	20	4	4	NUM
cana-949	310	21	respectively	respectively	ADV
cana-949	310	22	.	.	PUNCT
cana-949	311	1	warehouse	warehouse	NOUN
cana-949	311	2	food	food	NOUN
cana-949	311	3	factory	factory	NOUN
cana-949	311	4	a	a	DET
cana-949	311	5	b	b	NOUN
cana-949	311	6	c	c	NOUN
cana-949	311	7	d	d	NOUN
cana-949	311	8	𝑎𝑖	𝑎𝑖	ADP
cana-949	311	9	1	1	NUM
cana-949	311	10	(	(	PUNCT
cana-949	311	11	1	1	NUM
cana-949	311	12	−	−	PROPN
cana-949	311	13	𝛼)3.5	𝛼)3.5	NUM
cana-949	311	14	�	�	NOUN
cana-949	311	15	̅	̅	NOUN
cana-949	311	16	�	�	NOUN
cana-949	311	17	111	111	NUM
cana-949	312	1	+	+	SYM
cana-949	312	2	2.5𝛼𝑥111	2.5𝛼𝑥111	NUM
cana-949	312	3	(	(	PUNCT
cana-949	312	4	1	1	NUM
cana-949	312	5	−	−	PROPN
cana-949	312	6	𝛼)5	𝛼)5	PROPN
cana-949	312	7	�	�	PROPN
cana-949	312	8	̅	̅	NOUN
cana-949	312	9	�	�	NOUN
cana-949	312	10	121	121	NUM
cana-949	312	11	+	+	NUM
cana-949	312	12	4𝛼𝑥121	4𝛼𝑥121	NUM
cana-949	312	13	(	(	PUNCT
cana-949	312	14	1	1	NUM
cana-949	312	15	−	−	PRON
cana-949	312	16	𝛼)3.5	𝛼)3.5	NUM
cana-949	312	17	�	�	NOUN
cana-949	312	18	̅	̅	NOUN
cana-949	312	19	�	�	NOUN
cana-949	312	20	131	131	NUM
cana-949	312	21	+	+	NUM
cana-949	312	22	2.5𝛼𝑥131	2.5𝛼𝑥131	NUM
cana-949	312	23	(	(	PUNCT
cana-949	312	24	1	1	NUM
cana-949	312	25	−	−	DET
cana-949	312	26	𝛼)5.5	𝛼)5.5	NOUN
cana-949	312	27	�	�	NOUN
cana-949	312	28	̅	̅	NOUN
cana-949	312	29	�	�	NOUN
cana-949	312	30	141	141	NUM
cana-949	312	31	+	+	NUM
cana-949	312	32	4.5𝛼𝑥141	4.5𝛼𝑥141	NUM
cana-949	312	33	≥	≥	NOUN
cana-949	313	1	𝑎1	𝑎1	NOUN
cana-949	313	2	2	2	NUM
cana-949	313	3	(	(	PUNCT
cana-949	313	4	1	1	NUM
cana-949	313	5	−	−	NOUN
cana-949	313	6	𝛼)1	𝛼)1	PROPN
cana-949	313	7	�	�	NOUN
cana-949	313	8	̅	̅	NOUN
cana-949	313	9	�	�	NOUN
cana-949	313	10	211	211	NUM
cana-949	313	11	+	+	NUM
cana-949	313	12	0𝛼𝑥211	0𝛼𝑥211	NUM
cana-949	313	13	(	(	PUNCT
cana-949	313	14	1	1	NUM
cana-949	313	15	−	−	PROPN
cana-949	313	16	𝛼)3	𝛼)3	NOUN
cana-949	313	17	�	�	PROPN
cana-949	313	18	̅	̅	NOUN
cana-949	313	19	�	�	NOUN
cana-949	313	20	221	221	NUM
cana-949	313	21	+	+	CCONJ
cana-949	313	22	1.5𝛼𝑥221	1.5𝛼𝑥221	NUM
cana-949	313	23	(	(	PUNCT
cana-949	313	24	1	1	NUM
cana-949	313	25	−	−	PROPN
cana-949	313	26	𝛼)3	𝛼)3	NOUN
cana-949	313	27	�	�	PROPN
cana-949	313	28	̅	̅	NOUN
cana-949	313	29	�	�	NOUN
cana-949	313	30	231	231	NUM
cana-949	313	31	+	+	SYM
cana-949	313	32	2𝛼𝑥231	2𝛼𝑥231	NUM
cana-949	313	33	(	(	PUNCT
cana-949	313	34	1	1	NUM
cana-949	313	35	−	−	PROPN
cana-949	313	36	𝛼)3.5	𝛼)3.5	NUM
cana-949	313	37	�	�	PROPN
cana-949	313	38	̅	̅	NOUN
cana-949	313	39	�	�	NOUN
cana-949	313	40	241	241	NUM
cana-949	313	41	+	+	CCONJ
cana-949	313	42	2.5𝛼𝑥241	2.5𝛼𝑥241	NUM
cana-949	313	43	=	=	SYM
cana-949	313	44	𝑎2	𝑎2	NOUN
cana-949	313	45	3	3	NUM
cana-949	313	46	(	(	PUNCT
cana-949	313	47	1	1	NUM
cana-949	313	48	−	−	PRON
cana-949	313	49	𝛼)5.5	𝛼)5.5	NOUN
cana-949	313	50	�	�	NOUN
cana-949	313	51	̅	̅	NOUN
cana-949	313	52	�	�	NOUN
cana-949	313	53	311	311	NUM
cana-949	313	54	+	+	NUM
cana-949	313	55	4.5𝛼𝑥311	4.5𝛼𝑥311	NUM
cana-949	313	56	(	(	PUNCT
cana-949	313	57	1	1	NUM
cana-949	313	58	−	−	PROPN
cana-949	313	59	𝛼)8	𝛼)8	NOUN
cana-949	313	60	�	�	NOUN
cana-949	313	61	̅	̅	NOUN
cana-949	313	62	�	�	NOUN
cana-949	313	63	321	321	NUM
cana-949	313	64	+	+	NUM
cana-949	313	65	7𝛼𝑥321	7𝛼𝑥321	NUM
cana-949	313	66	(	(	PUNCT
cana-949	313	67	1	1	NUM
cana-949	313	68	−	−	PROPN
cana-949	313	69	𝛼)7.5	𝛼)7.5	NUM
cana-949	313	70	�	�	PROPN
cana-949	313	71	̅	̅	NOUN
cana-949	313	72	�	�	NOUN
cana-949	313	73	331	331	NUM
cana-949	313	74	+	+	CCONJ
cana-949	313	75	6.5𝛼𝑥331	6.5𝛼𝑥331	NUM
cana-949	313	76	(	(	PUNCT
cana-949	313	77	1	1	NUM
cana-949	313	78	−	−	NUM
cana-949	313	79	𝛼)6.5	𝛼)6.5	NUM
cana-949	313	80	�	�	NOUN
cana-949	313	81	̅	̅	NOUN
cana-949	313	82	�	�	NOUN
cana-949	313	83	341	341	NUM
cana-949	313	84	+	+	NUM
cana-949	313	85	5.5𝛼𝑥341	5.5𝛼𝑥341	NUM
cana-949	313	86	≤	≤	NOUN
cana-949	313	87	𝑎3	𝑎3	PROPN
cana-949	313	88	𝑏𝑗	𝑏𝑗	PROPN
cana-949	313	89	≤	≤	ADJ
cana-949	313	90	𝑏1	𝑏1	ADJ
cana-949	313	91	≥	≥	NOUN
cana-949	313	92	𝑏2	𝑏2	NOUN
cana-949	313	93	=	=	SYM
cana-949	313	94	𝑏3	𝑏3	PROPN
cana-949	313	95	≥	≥	NOUN
cana-949	313	96	𝑏4	𝑏4	PROPN
cana-949	313	97	table	table	NOUN
cana-949	313	98	3	3	NUM
cana-949	313	99	:	:	PUNCT
cana-949	313	100	transportation	transportation	NOUN
cana-949	313	101	cost	cost	NOUN
cana-949	313	102	𝑐𝑖𝑗1	𝑐𝑖𝑗1	PROPN
cana-949	313	103	alpha	alpha	PROPN
cana-949	313	104	cut	cut	NOUN
cana-949	313	105	representation	representation	NOUN
cana-949	313	106	for	for	ADP
cana-949	313	107	conveyance	conveyance	NOUN
cana-949	313	108	capacity	capacity	NOUN
cana-949	313	109	𝑒1	𝑒1	NOUN
cana-949	313	110	.	.	PUNCT
cana-949	314	1	warehouse	warehouse	NOUN
cana-949	314	2	food	food	NOUN
cana-949	314	3	factory	factory	NOUN
cana-949	314	4	a	a	DET
cana-949	314	5	b	b	NOUN
cana-949	314	6	c	c	NOUN
cana-949	314	7	d	d	NOUN
cana-949	314	8	𝑎𝑖	𝑎𝑖	ADP
cana-949	314	9	1	1	NUM
cana-949	314	10	(	(	PUNCT
cana-949	314	11	1	1	NUM
cana-949	314	12	−	−	PRON
cana-949	314	13	𝛼)5.5	𝛼)5.5	NOUN
cana-949	314	14	�	�	NOUN
cana-949	314	15	̅	̅	NOUN
cana-949	314	16	�	�	NOUN
cana-949	314	17	111	111	NUM
cana-949	314	18	+	+	NUM
cana-949	314	19	4.5𝛼𝑥111	4.5𝛼𝑥111	NUM
cana-949	314	20	(	(	PUNCT
cana-949	314	21	1	1	NUM
cana-949	314	22	−	−	PRON
cana-949	314	23	𝛼)9.5	𝛼)9.5	NOUN
cana-949	314	24	�	�	NOUN
cana-949	314	25	̅	̅	NOUN
cana-949	314	26	�	�	NOUN
cana-949	314	27	121	121	NUM
cana-949	314	28	+	+	SYM
cana-949	314	29	8.5𝛼𝑥121	8.5𝛼𝑥121	NUM
cana-949	314	30	(	(	PUNCT
cana-949	314	31	1	1	NUM
cana-949	314	32	−	−	PROPN
cana-949	314	33	𝛼)7.5	𝛼)7.5	NUM
cana-949	314	34	�	�	PROPN
cana-949	314	35	̅	̅	NOUN
cana-949	314	36	�	�	NOUN
cana-949	314	37	131	131	NUM
cana-949	314	38	+	+	NUM
cana-949	314	39	6.5𝛼𝑥131	6.5𝛼𝑥131	NUM
cana-949	314	40	(	(	PUNCT
cana-949	314	41	1	1	NUM
cana-949	314	42	−	−	PROPN
cana-949	314	43	𝛼)9	𝛼)9	PROPN
cana-949	314	44	�	�	NOUN
cana-949	314	45	̅	̅	NOUN
cana-949	314	46	�	�	NOUN
cana-949	314	47	141	141	NUM
cana-949	314	48	+	+	NUM
cana-949	314	49	8𝛼𝑥141	8𝛼𝑥141	NUM
cana-949	314	50	≥	≥	NOUN
cana-949	314	51	𝑎1	𝑎1	NOUN
cana-949	314	52	2	2	NUM
cana-949	314	53	(	(	PUNCT
cana-949	314	54	1	1	NUM
cana-949	314	55	−	−	PROPN
cana-949	314	56	𝛼)3.5	𝛼)3.5	NUM
cana-949	314	57	�	�	NOUN
cana-949	314	58	̅	̅	NOUN
cana-949	314	59	�	�	NOUN
cana-949	314	60	211	211	NUM
cana-949	314	61	+	+	NUM
cana-949	314	62	2.5𝛼𝑥211	2.5𝛼𝑥211	NUM
cana-949	314	63	(	(	PUNCT
cana-949	314	64	1	1	NUM
cana-949	314	65	−	−	PRON
cana-949	314	66	𝛼)5.5	𝛼)5.5	NOUN
cana-949	314	67	�	�	NOUN
cana-949	314	68	̅	̅	NOUN
cana-949	314	69	�	�	NOUN
cana-949	314	70	221	221	NUM
cana-949	314	71	+	+	NUM
cana-949	315	1	4.5𝛼𝑥221	4.5𝛼𝑥221	NUM
cana-949	315	2	(	(	PUNCT
cana-949	315	3	1	1	NUM
cana-949	315	4	−	−	PROPN
cana-949	315	5	𝛼)7.5	𝛼)7.5	NUM
cana-949	315	6	�	�	PROPN
cana-949	315	7	̅	̅	NOUN
cana-949	315	8	�	�	NOUN
cana-949	315	9	231	231	NUM
cana-949	315	10	+	+	CCONJ
cana-949	315	11	6.5𝛼𝑥231	6.5𝛼𝑥231	NUM
cana-949	315	12	(	(	PUNCT
cana-949	315	13	1	1	NUM
cana-949	315	14	−	−	PROPN
cana-949	315	15	𝛼)6	𝛼)6	PROPN
cana-949	315	16	�	�	NOUN
cana-949	315	17	̅	̅	NOUN
cana-949	315	18	�	�	NOUN
cana-949	315	19	241	241	NUM
cana-949	315	20	+	+	CCONJ
cana-949	315	21	5𝛼𝑥241	5𝛼𝑥241	NUM
cana-949	315	22	=	=	SYM
cana-949	315	23	𝑎2	𝑎2	NOUN
cana-949	315	24	3	3	NUM
cana-949	315	25	(	(	PUNCT
cana-949	315	26	1	1	NUM
cana-949	315	27	−	−	PROPN
cana-949	315	28	𝛼)4.5	𝛼)4.5	PROPN
cana-949	315	29	�	�	NOUN
cana-949	315	30	̅	̅	NOUN
cana-949	315	31	�	�	NOUN
cana-949	315	32	311	311	NUM
cana-949	315	33	+	+	CCONJ
cana-949	315	34	3.5𝛼𝑥311	3.5𝛼𝑥311	NUM
cana-949	315	35	(	(	PUNCT
cana-949	315	36	1	1	NUM
cana-949	315	37	−	−	PROPN
cana-949	315	38	𝛼)7.5	𝛼)7.5	NUM
cana-949	315	39	�	�	PROPN
cana-949	315	40	̅	̅	NOUN
cana-949	315	41	�	�	NOUN
cana-949	315	42	321	321	NUM
cana-949	315	43	+	+	NUM
cana-949	315	44	6.5𝛼𝑥321	6.5𝛼𝑥321	NUM
cana-949	315	45	(	(	PUNCT
cana-949	315	46	1	1	NUM
cana-949	315	47	−	−	PROPN
cana-949	315	48	𝛼)5.5	𝛼)5.5	NOUN
cana-949	315	49	�	�	NOUN
cana-949	315	50	̅	̅	NOUN
cana-949	315	51	�	�	NOUN
cana-949	315	52	331	331	NUM
cana-949	315	53	+	+	NUM
cana-949	315	54	4.5𝛼𝑥331	4.5𝛼𝑥331	NUM
cana-949	315	55	(	(	PUNCT
cana-949	315	56	1	1	NUM
cana-949	315	57	−	−	PROPN
cana-949	315	58	𝛼)6	𝛼)6	PROPN
cana-949	315	59	�	�	NOUN
cana-949	315	60	̅	̅	NOUN
cana-949	315	61	�	�	NOUN
cana-949	315	62	341	341	NUM
cana-949	315	63	+	+	NUM
cana-949	315	64	5𝛼𝑥341	5𝛼𝑥341	NUM
cana-949	315	65	≤	≤	NUM
cana-949	315	66	𝑎3	𝑎3	PROPN
cana-949	315	67	𝑏𝑗	𝑏𝑗	PROPN
cana-949	315	68	≤	≤	ADJ
cana-949	315	69	𝑏1	𝑏1	ADJ
cana-949	315	70	≥	≥	NOUN
cana-949	315	71	𝑏2	𝑏2	NOUN
cana-949	315	72	=	=	SYM
cana-949	315	73	𝑏3	𝑏3	PROPN
cana-949	315	74	≥	≥	NOUN
cana-949	315	75	𝑏4	𝑏4	PROPN
cana-949	315	76	table	table	NOUN
cana-949	315	77	4	4	NUM
cana-949	315	78	:	:	PUNCT
cana-949	315	79	transportation	transportation	NOUN
cana-949	315	80	cost	cost	NOUN
cana-949	315	81	𝑐𝑖𝑗2	𝑐𝑖𝑗2	PROPN
cana-949	315	82	as	as	ADP
cana-949	315	83	alpha	alpha	NOUN
cana-949	315	84	cut	cut	NOUN
cana-949	315	85	representation	representation	NOUN
cana-949	315	86	for	for	ADP
cana-949	315	87	conveyance	conveyance	NOUN
cana-949	315	88	capacity	capacity	NOUN
cana-949	315	89	𝑒2	𝑒2	NOUN
cana-949	315	90	.	.	PUNCT
cana-949	316	1	through	through	ADP
cana-949	316	2	step	step	NOUN
cana-949	316	3	2	2	NUM
cana-949	316	4	,	,	PUNCT
cana-949	316	5	obtain	obtain	VERB
cana-949	316	6	4	4	NUM
cana-949	316	7	models	model	NOUN
cana-949	316	8	by	by	ADP
cana-949	316	9	transformed	transform	VERB
cana-949	316	10	problem	problem	NOUN
cana-949	316	11	(	(	PUNCT
cana-949	316	12	r	r	NOUN
cana-949	316	13	)	)	PUNCT
cana-949	316	14	and	and	CCONJ
cana-949	316	15	its	its	PRON
cana-949	316	16	constraints	constraint	NOUN
cana-949	316	17	.	.	PUNCT
cana-949	317	1	through	through	ADP
cana-949	317	2	step	step	NOUN
cana-949	317	3	3	3	NUM
cana-949	317	4	,	,	PUNCT
cana-949	317	5	in	in	ADP
cana-949	317	6	model	model	NOUN
cana-949	317	7	1	1	NUM
cana-949	317	8	we	we	PRON
cana-949	317	9	take	take	VERB
cana-949	317	10	supply	supply	NOUN
cana-949	317	11	constraint	constraint	NOUN
cana-949	317	12	𝑎𝑖	𝑎𝑖	CCONJ
cana-949	317	13	as	as	ADV
cana-949	317	14	uncertain	uncertain	ADJ
cana-949	317	15	which	which	PRON
cana-949	317	16	is	be	AUX
cana-949	317	17	probabilistic	probabilistic	ADJ
cana-949	317	18	,	,	PUNCT
cana-949	317	19	𝑒𝑘	𝑒𝑘	PROPN
cana-949	317	20	&	&	CCONJ
cana-949	317	21	𝑏𝑗	𝑏𝑗	PROPN
cana-949	317	22	as	as	ADP
cana-949	317	23	certain	certain	ADJ
cana-949	317	24	constrains	constrain	NOUN
cana-949	317	25	.	.	PUNCT
cana-949	318	1	function	function	NOUN
cana-949	318	2	of	of	ADP
cana-949	318	3	cost	cost	NOUN
cana-949	318	4	at	at	ADP
cana-949	318	5	zero	zero	NUM
cana-949	318	6	level	level	NOUN
cana-949	318	7	of	of	ADP
cana-949	318	8	alpha	alpha	NOUN
cana-949	318	9	,	,	PUNCT
cana-949	318	10	utilizing	utilize	VERB
cana-949	318	11	weibull	weibull	NOUN
cana-949	318	12	distribution	distribution	NOUN
cana-949	318	13	on	on	ADP
cana-949	318	14	supply	supply	NOUN
cana-949	318	15	constraint	constraint	NOUN
cana-949	318	16	which	which	PRON
cana-949	318	17	is	be	AUX
cana-949	318	18	probabilistic	probabilistic	ADJ
cana-949	318	19	due	due	ADP
cana-949	318	20	to	to	ADP
cana-949	318	21	uncertainty	uncertainty	NOUN
cana-949	318	22	in	in	ADP
cana-949	318	23	supply	supply	NOUN
cana-949	318	24	.	.	PUNCT
cana-949	319	1	now	now	ADV
cana-949	319	2	,	,	PUNCT
cana-949	319	3	supplies	supply	NOUN
cana-949	319	4	are	be	AUX
cana-949	319	5	𝑎1	𝑎1	ADJ
cana-949	319	6	=	=	SYM
cana-949	319	7	28.035	28.035	NUM
cana-949	319	8	,	,	PUNCT
cana-949	319	9	𝑎2	𝑎2	NOUN
cana-949	319	10	=	=	SYM
cana-949	319	11	19.665	19.665	NUM
cana-949	319	12	,	,	PUNCT
cana-949	319	13	𝑎3	𝑎3	PROPN
cana-949	319	14	=	=	SYM
cana-949	319	15	13.8063	13.8063	NUM
cana-949	319	16	,	,	PUNCT
cana-949	319	17	demands	demand	NOUN
cana-949	319	18	are	be	AUX
cana-949	319	19	𝑏1	𝑏1	ADJ
cana-949	319	20	=	=	SYM
cana-949	319	21	12	12	NUM
cana-949	319	22	,	,	PUNCT
cana-949	319	23	𝑏2	𝑏2	NOUN
cana-949	319	24	=	=	SYM
cana-949	319	25	13	13	NUM
cana-949	319	26	,	,	PUNCT
cana-949	319	27	𝑏3	𝑏3	NOUN
cana-949	319	28	=	=	SYM
cana-949	319	29	18	18	NUM
cana-949	319	30	,	,	PUNCT
cana-949	319	31	𝑏4	𝑏4	PROPN
cana-949	319	32	=	=	SYM
cana-949	319	33	15	15	NUM
cana-949	319	34	,	,	PUNCT
cana-949	319	35	and	and	CCONJ
cana-949	319	36	conveyance	conveyance	NOUN
cana-949	319	37	capacities	capacity	NOUN
cana-949	319	38	are	be	AUX
cana-949	319	39	𝑒1	𝑒1	NOUN
cana-949	319	40	=	=	SYM
cana-949	319	41	27	27	NUM
cana-949	319	42	,	,	PUNCT
cana-949	319	43	𝑒2	𝑒2	PROPN
cana-949	319	44	=	=	SYM
cana-949	319	45	28	28	NUM
cana-949	319	46	.	.	PUNCT
cana-949	320	1	through	through	ADP
cana-949	320	2	lingo	lingo	NOUN
cana-949	320	3	software	software	NOUN
cana-949	320	4	,	,	PUNCT
cana-949	320	5	obtain	obtain	VERB
cana-949	320	6	optimal	optimal	ADJ
cana-949	320	7	cost	cost	NOUN
cana-949	320	8	of	of	ADP
cana-949	320	9	transportation	transportation	NOUN
cana-949	320	10	as	as	ADP
cana-949	320	11	176.27	176.27	NUM
cana-949	320	12	and	and	CCONJ
cana-949	320	13	𝑥131	𝑥131	NUM
cana-949	320	14	=	=	PUNCT
cana-949	320	15	18.00	18.00	NUM
cana-949	320	16	,	,	PUNCT
cana-949	320	17	𝑥141	𝑥141	X
cana-949	320	18	=	=	SYM
cana-949	320	19	10.035	10.035	NUM
cana-949	320	20	,	,	PUNCT
cana-949	320	21	𝑥211	𝑥211	PUNCT
cana-949	320	22	=	=	SYM
cana-949	320	23	1.70	1.70	NUM
cana-949	320	24	,	,	PUNCT
cana-949	320	25	𝑥221	𝑥221	PROPN
cana-949	320	26	=	=	SYM
cana-949	320	27	13.00	13.00	NUM
cana-949	320	28	,	,	PUNCT
cana-949	320	29	𝑥241	𝑥241	PROPN
cana-949	320	30	=	=	SYM
cana-949	320	31	4.965	4.965	NUM
cana-949	320	32	&	&	CCONJ
cana-949	320	33	unit	unit	NOUN
cana-949	320	34	flow	flow	NOUN
cana-949	320	35	as	as	ADP
cana-949	320	36	47.7	47.7	NUM
cana-949	320	37	.	.	PUNCT
cana-949	321	1	through	through	ADP
cana-949	321	2	step	step	NOUN
cana-949	321	3	4	4	NUM
cana-949	321	4	,	,	PUNCT
cana-949	321	5	in	in	ADP
cana-949	321	6	model	model	NOUN
cana-949	321	7	2	2	NUM
cana-949	321	8	we	we	PRON
cana-949	321	9	take	take	VERB
cana-949	321	10	only	only	ADV
cana-949	321	11	demand	demand	NOUN
cana-949	321	12	constraint	constraint	NOUN
cana-949	321	13	𝑏𝑗	𝑏𝑗	PROPN
cana-949	321	14	as	as	ADP
cana-949	321	15	uncertain	uncertain	ADJ
cana-949	321	16	which	which	PRON
cana-949	321	17	is	be	AUX
cana-949	321	18	probabilistic	probabilistic	ADJ
cana-949	321	19	and	and	CCONJ
cana-949	321	20	remaining	remain	VERB
cana-949	321	21	constraints	constraint	NOUN
cana-949	321	22	as	as	ADP
cana-949	321	23	certain	certain	ADJ
cana-949	321	24	.	.	PUNCT
cana-949	322	1	function	function	NOUN
cana-949	322	2	of	of	ADP
cana-949	322	3	cost	cost	NOUN
cana-949	322	4	at	at	ADP
cana-949	322	5	zero	zero	NUM
cana-949	322	6	level	level	NOUN
cana-949	322	7	of	of	ADP
cana-949	322	8	alpha	alpha	NOUN
cana-949	322	9	,	,	PUNCT
cana-949	322	10	utilizing	utilize	VERB
cana-949	322	11	weibull	weibull	NOUN
cana-949	322	12	distribution	distribution	NOUN
cana-949	322	13	on	on	ADP
cana-949	322	14	demand	demand	NOUN
cana-949	322	15	constraint	constraint	NOUN
cana-949	322	16	which	which	PRON
cana-949	322	17	is	be	AUX
cana-949	322	18	probabilistic	probabilistic	ADJ
cana-949	322	19	due	due	ADP
cana-949	322	20	to	to	ADP
cana-949	322	21	uncertainty	uncertainty	NOUN
cana-949	322	22	in	in	ADP
cana-949	322	23	demand	demand	NOUN
cana-949	322	24	.	.	PUNCT
cana-949	323	1	now	now	ADV
cana-949	323	2	,	,	PUNCT
cana-949	323	3	supplies	supply	NOUN
cana-949	323	4	are	be	AUX
cana-949	323	5	𝑎1	𝑎1	ADJ
cana-949	323	6	=	=	SYM
cana-949	323	7	19	19	NUM
cana-949	323	8	,	,	PUNCT
cana-949	323	9	𝑎2	𝑎2	NOUN
cana-949	323	10	=	=	SYM
cana-949	323	11	17	17	NUM
cana-949	323	12	,	,	PUNCT
cana-949	323	13	𝑎3	𝑎3	PROPN
cana-949	323	14	=	=	SYM
cana-949	323	15	23	23	NUM
cana-949	323	16	,	,	PUNCT
cana-949	323	17	demands	demand	NOUN
cana-949	323	18	are	be	AUX
cana-949	323	19	𝑏1	𝑏1	ADJ
cana-949	323	20	=	=	SYM
cana-949	323	21	13.36	13.36	NUM
cana-949	323	22	,	,	PUNCT
cana-949	323	23	𝑏2	𝑏2	NOUN
cana-949	323	24	=	=	SYM
cana-949	323	25	11.195	11.195	NUM
cana-949	323	26	,	,	PUNCT
cana-949	323	27	𝑏3	𝑏3	NOUN
cana-949	323	28	=	=	SYM
cana-949	323	29	17.665	17.665	NUM
cana-949	323	30	,	,	PUNCT
cana-949	323	31	𝑏4	𝑏4	PROPN
cana-949	323	32	=	=	PUNCT
cana-949	323	33	15.313	15.313	NUM
cana-949	323	34	,	,	PUNCT
cana-949	323	35	and	and	CCONJ
cana-949	323	36	conveyance	conveyance	NOUN
cana-949	323	37	capacities	capacity	NOUN
cana-949	323	38	are	be	AUX
cana-949	323	39	𝑒1	𝑒1	NOUN
cana-949	323	40	=	=	SYM
cana-949	323	41	27	27	NUM
cana-949	323	42	,	,	PUNCT
cana-949	323	43	𝑒2	𝑒2	PROPN
cana-949	323	44	=	=	SYM
cana-949	323	45	28	28	NUM
cana-949	323	46	.	.	PUNCT
cana-949	324	1	through	through	ADP
cana-949	324	2	lingo	lingo	NOUN
cana-949	324	3	software	software	NOUN
cana-949	324	4	,	,	PUNCT
cana-949	324	5	obtain	obtain	VERB
cana-949	324	6	optimal	optimal	ADJ
cana-949	324	7	cost	cost	NOUN
cana-949	324	8	of	of	ADP
cana-949	324	9	transportation	transportation	NOUN
cana-949	324	10	as	as	ADP
cana-949	324	11	168.024	168.024	NUM
cana-949	324	12	and	and	CCONJ
cana-949	324	13	𝑥131	𝑥131	PROPN
cana-949	324	14	=	=	SYM
cana-949	324	15	17.665	17.665	NUM
cana-949	324	16	,	,	PUNCT
cana-949	324	17	𝑥141	𝑥141	PROPN
cana-949	324	18	=	=	SYM
cana-949	324	19	9.508	9.508	NUM
cana-949	324	20	,	,	PUNCT
cana-949	324	21	𝑥221	𝑥221	PROPN
cana-949	324	22	=	=	SYM
cana-949	324	23	11.195	11.195	NUM
cana-949	324	24	,	,	PUNCT
cana-949	324	25	𝑥241	𝑥241	PROPN
cana-949	324	26	=	=	SYM
cana-949	324	27	5.805	5.805	NUM
cana-949	324	28	&	&	CCONJ
cana-949	324	29	unit	unit	NOUN
cana-949	324	30	flow	flow	NOUN
cana-949	324	31	as	as	ADP
cana-949	324	32	44.173	44.173	NUM
cana-949	324	33	.	.	PUNCT
cana-949	325	1	through	through	ADP
cana-949	325	2	step	step	NOUN
cana-949	325	3	5	5	NUM
cana-949	325	4	,	,	PUNCT
cana-949	325	5	in	in	ADP
cana-949	325	6	model	model	NOUN
cana-949	325	7	3	3	NUM
cana-949	325	8	we	we	PRON
cana-949	325	9	take	take	VERB
cana-949	325	10	conveyance	conveyance	NOUN
cana-949	325	11	capacity	capacity	NOUN
cana-949	325	12	constraint	constraint	NOUN
cana-949	325	13	𝑒𝑘	𝑒𝑘	PRON
cana-949	325	14	as	as	ADV
cana-949	325	15	uncertain	uncertain	ADJ
cana-949	325	16	which	which	PRON
cana-949	325	17	is	be	AUX
cana-949	325	18	probabilistic	probabilistic	ADJ
cana-949	325	19	and	and	CCONJ
cana-949	325	20	remaining	remaining	ADJ
cana-949	325	21	constraint	constraint	NOUN
cana-949	325	22	as	as	ADP
cana-949	325	23	certain	certain	ADJ
cana-949	325	24	.	.	PUNCT
cana-949	326	1	function	function	NOUN
cana-949	326	2	of	of	ADP
cana-949	326	3	cost	cost	NOUN
cana-949	326	4	at	at	ADP
cana-949	326	5	zero	zero	NUM
cana-949	326	6	level	level	NOUN
cana-949	326	7	of	of	ADP
cana-949	326	8	alpha	alpha	NOUN
cana-949	326	9	,	,	PUNCT
cana-949	326	10	utilizing	utilize	VERB
cana-949	326	11	weibull	weibull	NOUN
cana-949	326	12	distribution	distribution	NOUN
cana-949	326	13	on	on	ADP
cana-949	326	14	conveyance	conveyance	NOUN
cana-949	326	15	capacity	capacity	NOUN
cana-949	326	16	constraint	constraint	NOUN
cana-949	326	17	which	which	PRON
cana-949	326	18	is	be	AUX
cana-949	326	19	probabilistic	probabilistic	ADJ
cana-949	326	20	due	due	ADP
cana-949	326	21	to	to	ADP
cana-949	326	22	uncertainty	uncertainty	NOUN
cana-949	326	23	in	in	ADP
cana-949	326	24	conveyance	conveyance	NOUN
cana-949	326	25	capacity	capacity	NOUN
cana-949	326	26	.	.	PUNCT
cana-949	327	1	now	now	ADV
cana-949	327	2	,	,	PUNCT
cana-949	327	3	supplies	supply	NOUN
cana-949	327	4	are	be	AUX
cana-949	327	5	𝑎1	𝑎1	ADJ
cana-949	327	6	=	=	SYM
cana-949	327	7	19	19	NUM
cana-949	327	8	,	,	PUNCT
cana-949	327	9	𝑎2	𝑎2	NOUN
cana-949	327	10	=	=	SYM
cana-949	327	11	17	17	NUM
cana-949	327	12	,	,	PUNCT
cana-949	327	13	𝑎3	𝑎3	PROPN
cana-949	327	14	=	=	SYM
cana-949	327	15	23	23	NUM
cana-949	327	16	,	,	PUNCT
cana-949	327	17	demands	demand	NOUN
cana-949	327	18	are	be	AUX
cana-949	327	19	𝑏1	𝑏1	ADJ
cana-949	327	20	=	=	SYM
cana-949	327	21	12	12	NUM
cana-949	327	22	,	,	PUNCT
cana-949	327	23	𝑏2	𝑏2	NOUN
cana-949	327	24	=	=	SYM
cana-949	327	25	13	13	NUM
cana-949	327	26	,	,	PUNCT
cana-949	327	27	communications	communication	NOUN
cana-949	327	28	on	on	ADP
cana-949	327	29	applied	apply	VERB
cana-949	327	30	nonlinear	nonlinear	ADJ
cana-949	327	31	analysis	analysis	NOUN
cana-949	327	32	issn	issn	NOUN
cana-949	327	33	:	:	PUNCT
cana-949	327	34	1074	1074	NUM
cana-949	327	35	-	-	PUNCT
cana-949	327	36	133x	133x	NUM
cana-949	327	37	vol	vol	NOUN
cana-949	327	38	31	31	NUM
cana-949	327	39	no	no	NOUN
cana-949	327	40	.	.	PUNCT
cana-949	328	1	4s	4s	NUM
cana-949	328	2	(	(	PUNCT
cana-949	328	3	2024	2024	NUM
cana-949	328	4	)	)	PUNCT
cana-949	328	5	555	555	NUM
cana-949	328	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-949	328	7	𝑏3	𝑏3	NOUN
cana-949	328	8	=	=	SYM
cana-949	328	9	18	18	NUM
cana-949	328	10	,	,	PUNCT
cana-949	328	11	𝑏4	𝑏4	PROPN
cana-949	328	12	=	=	SYM
cana-949	328	13	15	15	NUM
cana-949	328	14	,	,	PUNCT
cana-949	328	15	and	and	CCONJ
cana-949	328	16	conveyance	conveyance	NOUN
cana-949	328	17	capacities	capacity	NOUN
cana-949	328	18	are	be	AUX
cana-949	328	19	𝑒1	𝑒1	NOUN
cana-949	328	20	=	=	PUNCT
cana-949	328	21	2.539	2.539	NUM
cana-949	328	22	,	,	PUNCT
cana-949	328	23	𝑒2	𝑒2	PROPN
cana-949	328	24	=	=	PROPN
cana-949	328	25	6.3547	6.3547	NUM
cana-949	328	26	.	.	PUNCT
cana-949	329	1	through	through	ADP
cana-949	329	2	lingo	lingo	NOUN
cana-949	329	3	software	software	NOUN
cana-949	329	4	,	,	PUNCT
cana-949	329	5	obtain	obtain	VERB
cana-949	329	6	optimal	optimal	ADJ
cana-949	329	7	cost	cost	NOUN
cana-949	329	8	of	of	ADP
cana-949	329	9	transportation	transportation	NOUN
cana-949	329	10	as	as	ADP
cana-949	329	11	176.50	176.50	NUM
cana-949	329	12	and	and	CCONJ
cana-949	329	13	𝑥131	𝑥131	NUM
cana-949	329	14	=	=	PUNCT
cana-949	329	15	18.00	18.00	NUM
cana-949	329	16	,	,	PUNCT
cana-949	329	17	𝑥141	𝑥141	PROPN
cana-949	329	18	=	=	SYM
cana-949	329	19	11.00	11.00	NUM
cana-949	329	20	,	,	PUNCT
cana-949	329	21	𝑥221	𝑥221	X
cana-949	329	22	=	=	SYM
cana-949	329	23	13.00	13.00	NUM
cana-949	329	24	,	,	PUNCT
cana-949	329	25	𝑥241	𝑥241	PROPN
cana-949	329	26	=	=	SYM
cana-949	329	27	4.00	4.00	NUM
cana-949	329	28	&	&	CCONJ
cana-949	329	29	unit	unit	NOUN
cana-949	329	30	flow	flow	NOUN
cana-949	329	31	as	as	ADP
cana-949	329	32	46	46	NUM
cana-949	329	33	.	.	PUNCT
cana-949	330	1	through	through	ADP
cana-949	330	2	step	step	NOUN
cana-949	330	3	6	6	NUM
cana-949	330	4	,	,	PUNCT
cana-949	330	5	in	in	ADP
cana-949	330	6	model	model	NOUN
cana-949	330	7	4	4	NUM
cana-949	330	8	we	we	PRON
cana-949	330	9	take	take	VERB
cana-949	330	10	𝑎𝑖	𝑎𝑖	ADV
cana-949	330	11	,	,	PUNCT
cana-949	330	12	𝑏𝑗	𝑏𝑗	PROPN
cana-949	330	13	and	and	CCONJ
cana-949	330	14	𝑒𝑘	𝑒𝑘	X
cana-949	330	15	as	as	ADP
cana-949	330	16	probabilistic	probabilistic	ADJ
cana-949	330	17	uncertain	uncertain	ADJ
cana-949	330	18	variables	variable	NOUN
cana-949	330	19	.	.	PUNCT
cana-949	331	1	now	now	ADV
cana-949	331	2	,	,	PUNCT
cana-949	331	3	supplies	supply	NOUN
cana-949	331	4	are	be	AUX
cana-949	331	5	𝑎1	𝑎1	ADJ
cana-949	331	6	=	=	SYM
cana-949	331	7	28.035	28.035	NUM
cana-949	331	8	,	,	PUNCT
cana-949	331	9	𝑎2	𝑎2	NOUN
cana-949	331	10	=	=	SYM
cana-949	331	11	19.665	19.665	NUM
cana-949	331	12	,	,	PUNCT
cana-949	331	13	𝑎3	𝑎3	PROPN
cana-949	331	14	=	=	SYM
cana-949	331	15	13.8063	13.8063	NUM
cana-949	331	16	,	,	PUNCT
cana-949	331	17	,	,	PUNCT
cana-949	331	18	demands	demand	NOUN
cana-949	331	19	are	be	AUX
cana-949	331	20	𝑏1	𝑏1	ADJ
cana-949	331	21	=	=	SYM
cana-949	331	22	13.36	13.36	NUM
cana-949	331	23	,	,	PUNCT
cana-949	331	24	𝑏2	𝑏2	NOUN
cana-949	331	25	=	=	SYM
cana-949	331	26	11.195	11.195	NUM
cana-949	331	27	,	,	PUNCT
cana-949	331	28	𝑏3	𝑏3	NOUN
cana-949	331	29	=	=	SYM
cana-949	331	30	17.665	17.665	NUM
cana-949	331	31	,	,	PUNCT
cana-949	331	32	𝑏4	𝑏4	PROPN
cana-949	331	33	=	=	PUNCT
cana-949	331	34	15.313	15.313	NUM
cana-949	331	35	,	,	PUNCT
cana-949	331	36	and	and	CCONJ
cana-949	331	37	conveyance	conveyance	NOUN
cana-949	331	38	capacities	capacity	NOUN
cana-949	331	39	are	be	AUX
cana-949	331	40	𝑒1	𝑒1	NOUN
cana-949	331	41	=	=	PUNCT
cana-949	331	42	2.539	2.539	NUM
cana-949	331	43	,	,	PUNCT
cana-949	331	44	𝑒2	𝑒2	PROPN
cana-949	331	45	=	=	PROPN
cana-949	331	46	6.3547	6.3547	NUM
cana-949	331	47	.	.	PUNCT
cana-949	332	1	through	through	ADP
cana-949	332	2	lingo	lingo	NOUN
cana-949	332	3	software	software	NOUN
cana-949	332	4	,	,	PUNCT
cana-949	332	5	obtain	obtain	VERB
cana-949	332	6	optimal	optimal	ADJ
cana-949	332	7	cost	cost	NOUN
cana-949	332	8	of	of	ADP
cana-949	332	9	transportation	transportation	NOUN
cana-949	332	10	as	as	ADP
cana-949	332	11	173.275	173.275	NUM
cana-949	332	12	and	and	CCONJ
cana-949	332	13	𝑥131	𝑥131	NUM
cana-949	332	14	=	=	SYM
cana-949	332	15	17.665	17.665	NUM
cana-949	332	16	,	,	PUNCT
cana-949	332	17	𝑥141	𝑥141	PROPN
cana-949	332	18	=	=	SYM
cana-949	332	19	10.370	10.370	NUM
cana-949	332	20	,	,	PUNCT
cana-949	332	21	𝑥211	𝑥211	X
cana-949	332	22	=	=	SYM
cana-949	332	23	3.527	3.527	NUM
cana-949	332	24	,	,	PUNCT
cana-949	332	25	𝑥221	𝑥221	PROPN
cana-949	332	26	=	=	SYM
cana-949	332	27	11.195	11.195	NUM
cana-949	332	28	,	,	PUNCT
cana-949	332	29	𝑥241	𝑥241	PROPN
cana-949	332	30	=	=	SYM
cana-949	332	31	4.943	4.943	NUM
cana-949	332	32	&	&	CCONJ
cana-949	332	33	unit	unit	NOUN
cana-949	332	34	flow	flow	NOUN
cana-949	332	35	as	as	ADP
cana-949	332	36	47.7	47.7	NUM
cana-949	332	37	.	.	PUNCT
cana-949	333	1	similarly	similarly	ADV
cana-949	333	2	,	,	PUNCT
cana-949	333	3	solve	solve	VERB
cana-949	333	4	four	four	NUM
cana-949	333	5	cases	case	NOUN
cana-949	333	6	of	of	ADP
cana-949	333	7	constraint	constraint	NOUN
cana-949	333	8	for	for	ADP
cana-949	333	9	varying	vary	VERB
cana-949	333	10	alpha	alpha	ADJ
cana-949	333	11	values	value	NOUN
cana-949	333	12	.	.	PUNCT
cana-949	334	1	table	table	NOUN
cana-949	334	2	5	5	NUM
cana-949	334	3	shows	show	VERB
cana-949	334	4	the	the	DET
cana-949	334	5	computational	computational	ADJ
cana-949	334	6	results	result	NOUN
cana-949	334	7	for	for	ADP
cana-949	334	8	4	4	NUM
cana-949	334	9	models	model	NOUN
cana-949	334	10	.	.	PUNCT
cana-949	335	1	constructed	construct	VERB
cana-949	335	2	four	four	NUM
cana-949	335	3	models	model	NOUN
cana-949	335	4	for	for	ADP
cana-949	335	5	sfstpmc	sfstpmc	NOUN
cana-949	335	6	.	.	PUNCT
cana-949	336	1	model	model	PROPN
cana-949	336	2	1	1	NUM
cana-949	336	3	depicts	depict	VERB
cana-949	336	4	supply	supply	NOUN
cana-949	336	5	constraint	constraint	NOUN
cana-949	336	6	as	as	ADP
cana-949	336	7	probabilistic	probabilistic	ADJ
cana-949	336	8	values	value	NOUN
cana-949	336	9	,	,	PUNCT
cana-949	336	10	demand	demand	NOUN
cana-949	336	11	and	and	CCONJ
cana-949	336	12	conveyance	conveyance	NOUN
cana-949	336	13	capacity	capacity	NOUN
cana-949	336	14	as	as	ADP
cana-949	336	15	certain	certain	ADJ
cana-949	336	16	values	value	NOUN
cana-949	336	17	,	,	PUNCT
cana-949	336	18	model	model	NOUN
cana-949	336	19	2	2	NUM
cana-949	336	20	depicts	depict	VERB
cana-949	336	21	demand	demand	NOUN
cana-949	336	22	as	as	ADP
cana-949	336	23	probabilistic	probabilistic	ADJ
cana-949	336	24	values	value	NOUN
cana-949	336	25	and	and	CCONJ
cana-949	336	26	other	other	ADJ
cana-949	336	27	constraints	constraint	NOUN
cana-949	336	28	as	as	ADP
cana-949	336	29	certain	certain	ADJ
cana-949	336	30	values	value	NOUN
cana-949	336	31	,	,	PUNCT
cana-949	336	32	model	model	NOUN
cana-949	336	33	3	3	NUM
cana-949	336	34	depicts	depict	VERB
cana-949	336	35	conveyance	conveyance	NOUN
cana-949	336	36	capacity	capacity	NOUN
cana-949	336	37	as	as	ADP
cana-949	336	38	probabilistic	probabilistic	ADJ
cana-949	336	39	value	value	NOUN
cana-949	336	40	and	and	CCONJ
cana-949	336	41	other	other	ADJ
cana-949	336	42	constraints	constraint	NOUN
cana-949	336	43	as	as	ADP
cana-949	336	44	certain	certain	ADJ
cana-949	336	45	values	value	NOUN
cana-949	336	46	,	,	PUNCT
cana-949	336	47	model	model	NOUN
cana-949	336	48	4	4	NUM
cana-949	336	49	depicts	depict	NOUN
cana-949	336	50	supply	supply	NOUN
cana-949	336	51	,	,	PUNCT
cana-949	336	52	demand	demand	NOUN
cana-949	336	53	and	and	CCONJ
cana-949	336	54	conveyance	conveyance	NOUN
cana-949	336	55	capacity	capacity	NOUN
cana-949	336	56	as	as	ADP
cana-949	336	57	probabilistic	probabilistic	ADJ
cana-949	336	58	values	value	NOUN
cana-949	336	59	.	.	PUNCT
cana-949	337	1	the	the	DET
cana-949	337	2	objective	objective	ADJ
cana-949	337	3	function	function	NOUN
cana-949	337	4	’s	’s	PART
cana-949	337	5	cost	cost	NOUN
cana-949	337	6	coefficient	coefficient	NOUN
cana-949	337	7	converts	convert	NOUN
cana-949	337	8	to	to	ADP
cana-949	337	9	alpha	alpha	NOUN
cana-949	337	10	cut	cut	NOUN
cana-949	337	11	representation	representation	NOUN
cana-949	337	12	and	and	CCONJ
cana-949	337	13	mixed	mixed	ADJ
cana-949	337	14	constraints	constraint	NOUN
cana-949	337	15	which	which	PRON
cana-949	337	16	are	be	AUX
cana-949	337	17	stochastic	stochastic	ADJ
cana-949	337	18	are	be	AUX
cana-949	337	19	converts	convert	NOUN
cana-949	337	20	into	into	ADP
cana-949	337	21	crisp	crisp	ADJ
cana-949	337	22	form	form	NOUN
cana-949	337	23	by	by	ADP
cana-949	337	24	utilize	utilize	VERB
cana-949	337	25	weibull	weibull	NOUN
cana-949	337	26	distribution	distribution	NOUN
cana-949	337	27	to	to	PART
cana-949	337	28	solve	solve	VERB
cana-949	337	29	the	the	DET
cana-949	337	30	models	model	NOUN
cana-949	337	31	.	.	PUNCT
cana-949	338	1	it	it	PRON
cana-949	338	2	’s	’	VERB
cana-949	338	3	notable	notable	ADJ
cana-949	338	4	that	that	SCONJ
cana-949	338	5	these	these	DET
cana-949	338	6	models	model	NOUN
cana-949	338	7	are	be	AUX
cana-949	338	8	constructed	construct	VERB
cana-949	338	9	from	from	ADP
cana-949	338	10	different	different	ADJ
cana-949	338	11	perspectives	perspective	NOUN
cana-949	338	12	.	.	PUNCT
cana-949	339	1	as	as	SCONJ
cana-949	339	2	the	the	DET
cana-949	339	3	choice	choice	NOUN
cana-949	339	4	of	of	ADP
cana-949	339	5	model	model	NOUN
cana-949	339	6	depends	depend	VERB
cana-949	339	7	on	on	ADP
cana-949	339	8	the	the	DET
cana-949	339	9	decision	decision	NOUN
cana-949	339	10	-	-	PUNCT
cana-949	339	11	maker	maker	NOUN
cana-949	339	12	’s	’s	PART
cana-949	339	13	preference	preference	NOUN
cana-949	339	14	,	,	PUNCT
cana-949	339	15	determining	determine	VERB
cana-949	339	16	the	the	DET
cana-949	339	17	superior	superior	ADJ
cana-949	339	18	model	model	NOUN
cana-949	339	19	for	for	ADP
cana-949	339	20	decision	decision	NOUN
cana-949	339	21	-	-	PUNCT
cana-949	339	22	making	making	NOUN
cana-949	339	23	is	be	AUX
cana-949	339	24	inconclusive	inconclusive	ADJ
cana-949	339	25	.	.	PUNCT
cana-949	340	1	optimal	optimal	ADJ
cana-949	340	2	solution	solution	NOUN
cana-949	340	3	flow	flow	NOUN
cana-949	340	4	of	of	ADP
cana-949	340	5	units	unit	NOUN
cana-949	340	6	shipment	shipment	VERB
cana-949	340	7	𝑥𝑖𝑗𝑘	𝑥𝑖𝑗𝑘	NOUN
cana-949	340	8	model	model	NOUN
cana-949	340	9	1	1	NUM
cana-949	340	10	176.27	176.27	NUM
cana-949	340	11	47.7	47.7	NUM
cana-949	340	12	𝑥131	𝑥131	NUM
cana-949	340	13	=	=	SYM
cana-949	340	14	18	18	NUM
cana-949	340	15	,	,	PUNCT
cana-949	340	16	𝑥141	𝑥141	PROPN
cana-949	340	17	=	=	SYM
cana-949	340	18	10.035	10.035	NUM
cana-949	340	19	,	,	PUNCT
cana-949	340	20	𝑥211	𝑥211	PUNCT
cana-949	340	21	=	=	SYM
cana-949	340	22	1.70	1.70	NUM
cana-949	340	23	,	,	PUNCT
cana-949	340	24	𝑥221	𝑥221	PROPN
cana-949	340	25	=	=	SYM
cana-949	340	26	13.00	13.00	NUM
cana-949	340	27	,	,	PUNCT
cana-949	340	28	𝑥241	𝑥241	PROPN
cana-949	340	29	=	=	SYM
cana-949	340	30	4.965	4.965	NUM
cana-949	340	31	.	.	PUNCT
cana-949	341	1	model	model	NOUN
cana-949	341	2	2	2	NUM
cana-949	341	3	168.024	168.024	NUM
cana-949	341	4	44.173	44.173	NUM
cana-949	341	5	𝑥131	𝑥131	SYM
cana-949	341	6	=	=	SYM
cana-949	341	7	17.665	17.665	NUM
cana-949	341	8	,	,	PUNCT
cana-949	341	9	𝑥141	𝑥141	PROPN
cana-949	341	10	=	=	SYM
cana-949	341	11	9.508	9.508	NUM
cana-949	341	12	,	,	PUNCT
cana-949	341	13	𝑥221	𝑥221	PROPN
cana-949	341	14	=	=	SYM
cana-949	341	15	11.195	11.195	NUM
cana-949	341	16	,	,	PUNCT
cana-949	341	17	𝑥241	𝑥241	PROPN
cana-949	341	18	=	=	SYM
cana-949	341	19	5.805	5.805	NUM
cana-949	341	20	.	.	PUNCT
cana-949	342	1	model	model	NOUN
cana-949	342	2	3	3	NUM
cana-949	342	3	176.50	176.50	NUM
cana-949	342	4	46	46	NUM
cana-949	343	1	𝑥131	𝑥131	NUM
cana-949	343	2	=	=	SYM
cana-949	343	3	18	18	NUM
cana-949	343	4	,	,	PUNCT
cana-949	343	5	𝑥141	𝑥141	PROPN
cana-949	343	6	=	=	SYM
cana-949	343	7	11	11	NUM
cana-949	343	8	,	,	PUNCT
cana-949	343	9	𝑥221	𝑥221	X
cana-949	343	10	=	=	SYM
cana-949	343	11	13.00	13.00	NUM
cana-949	343	12	,	,	PUNCT
cana-949	343	13	𝑥241	𝑥241	PROPN
cana-949	343	14	=	=	SYM
cana-949	343	15	4.00	4.00	NUM
cana-949	343	16	.	.	PUNCT
cana-949	344	1	model	model	NOUN
cana-949	344	2	4	4	NUM
cana-949	344	3	173.275	173.275	NUM
cana-949	344	4	47.7	47.7	NUM
cana-949	344	5	𝑥131	𝑥131	NUM
cana-949	344	6	=	=	SYM
cana-949	344	7	17.665	17.665	NUM
cana-949	344	8	,	,	PUNCT
cana-949	344	9	𝑥141	𝑥141	PROPN
cana-949	344	10	=	=	SYM
cana-949	344	11	10.35	10.35	NUM
cana-949	344	12	,	,	PUNCT
cana-949	344	13	𝑥211	𝑥211	X
cana-949	344	14	=	=	SYM
cana-949	344	15	11.195	11.195	NUM
cana-949	344	16	,	,	PUNCT
cana-949	344	17	𝑥221	𝑥221	X
cana-949	344	18	=	=	SYM
cana-949	344	19	13.00	13.00	NUM
cana-949	344	20	,	,	PUNCT
cana-949	344	21	𝑥241	𝑥241	PROPN
cana-949	344	22	=	=	SYM
cana-949	344	23	4.943	4.943	NUM
cana-949	344	24	.	.	PUNCT
cana-949	344	25	table	table	NOUN
cana-949	344	26	5	5	NUM
cana-949	344	27	:	:	PUNCT
cana-949	344	28	computational	computational	ADJ
cana-949	344	29	results	result	NOUN
cana-949	344	30	of	of	ADP
cana-949	344	31	4	4	NUM
cana-949	344	32	models	model	NOUN
cana-949	344	33	.	.	PUNCT
cana-949	345	1	7	7	X
cana-949	345	2	.	.	X
cana-949	345	3	sensitivity	sensitivity	NOUN
cana-949	345	4	analysis	analysis	NOUN
cana-949	345	5	and	and	CCONJ
cana-949	345	6	discussion	discussion	NOUN
cana-949	345	7	in	in	ADP
cana-949	345	8	this	this	DET
cana-949	345	9	section	section	NOUN
cana-949	345	10	,	,	PUNCT
cana-949	345	11	sfstpmc	sfstpmc	PROPN
cana-949	345	12	conducted	conduct	VERB
cana-949	345	13	a	a	DET
cana-949	345	14	sensitivity	sensitivity	NOUN
cana-949	345	15	analysis	analysis	NOUN
cana-949	345	16	to	to	PART
cana-949	345	17	assess	assess	VERB
cana-949	345	18	optimality	optimality	NOUN
cana-949	345	19	concerning	concern	VERB
cana-949	345	20	variation	variation	NOUN
cana-949	345	21	in	in	ADP
cana-949	345	22	probabilities	probability	NOUN
cana-949	345	23	related	relate	VERB
cana-949	345	24	to	to	ADP
cana-949	345	25	uncertain	uncertain	ADJ
cana-949	345	26	parameters	parameter	NOUN
cana-949	345	27	like	like	ADP
cana-949	345	28	source	source	NOUN
cana-949	345	29	,	,	PUNCT
cana-949	345	30	demand	demand	NOUN
cana-949	345	31	and	and	CCONJ
cana-949	345	32	conveyance	conveyance	NOUN
cana-949	345	33	capacity	capacity	NOUN
cana-949	345	34	.	.	PUNCT
cana-949	346	1	model	model	PROPN
cana-949	346	2	4th	4th	PROPN
cana-949	346	3	has	have	AUX
cana-949	346	4	chosen	choose	VERB
cana-949	346	5	for	for	ADP
cana-949	346	6	this	this	DET
cana-949	346	7	analysis	analysis	NOUN
cana-949	346	8	,	,	PUNCT
cana-949	346	9	with	with	ADP
cana-949	346	10	probabilities	probability	NOUN
cana-949	346	11	ranging	range	VERB
cana-949	346	12	from	from	ADP
cana-949	346	13	0	0	NUM
cana-949	346	14	to	to	ADP
cana-949	346	15	1	1	NUM
cana-949	346	16	for	for	ADP
cana-949	346	17	parameters	parameter	NOUN
cana-949	346	18	𝑎𝑖	𝑎𝑖	ADP
cana-949	346	19	,	,	PUNCT
cana-949	346	20	𝑏𝑗	𝑏𝑗	PROPN
cana-949	346	21	&	&	CCONJ
cana-949	346	22	𝑒𝑘.	𝑒𝑘.	PROPN
cana-949	346	23	the	the	DET
cana-949	346	24	analysis	analysis	NOUN
cana-949	346	25	involved	involve	VERB
cana-949	346	26	,	,	PUNCT
cana-949	346	27	holding	hold	VERB
cana-949	346	28	one	one	NUM
cana-949	346	29	probability	probability	NOUN
cana-949	346	30	parameter	parameter	NOUN
cana-949	346	31	(	(	PUNCT
cana-949	346	32	𝑃𝑎𝑖or	𝑃𝑎𝑖or	PROPN
cana-949	346	33	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	346	34	or	or	CCONJ
cana-949	346	35	𝑃𝑒𝑘	𝑃𝑒𝑘	PROPN
cana-949	346	36	)	)	PUNCT
cana-949	346	37	as	as	ADV
cana-949	346	38	constant	constant	ADJ
cana-949	346	39	at	at	ADP
cana-949	346	40	0.5	0.5	NUM
cana-949	346	41	while	while	SCONJ
cana-949	346	42	varying	vary	VERB
cana-949	346	43	the	the	DET
cana-949	346	44	probabilities	probability	NOUN
cana-949	346	45	of	of	ADP
cana-949	346	46	other	other	ADJ
cana-949	346	47	parameters	parameter	NOUN
cana-949	346	48	(	(	PUNCT
cana-949	346	49	𝑃𝑎𝑖or	𝑃𝑎𝑖or	PROPN
cana-949	346	50	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	346	51	or	or	CCONJ
cana-949	346	52	𝑃𝑒𝑘	𝑃𝑒𝑘	PROPN
cana-949	346	53	)	)	PUNCT
cana-949	346	54	.	.	PUNCT
cana-949	347	1	for	for	ADP
cana-949	347	2	equality	equality	NOUN
cana-949	347	3	constraints	constraint	NOUN
cana-949	347	4	,	,	PUNCT
cana-949	347	5	the	the	DET
cana-949	347	6	probabilities	probability	NOUN
cana-949	347	7	of	of	ADP
cana-949	347	8	that	that	DET
cana-949	347	9	parameter	parameter	NOUN
cana-949	347	10	remain	remain	VERB
cana-949	347	11	0.5	0.5	NUM
cana-949	347	12	by	by	ADP
cana-949	347	13	using	use	VERB
cana-949	347	14	case	case	NOUN
cana-949	347	15	iv	iv	NUM
cana-949	347	16	.	.	PUNCT
cana-949	348	1	each	each	DET
cana-949	348	2	parameter	parameter	NOUN
cana-949	348	3	which	which	PRON
cana-949	348	4	is	be	AUX
cana-949	348	5	stochastic	stochastic	ADJ
cana-949	348	6	and	and	CCONJ
cana-949	348	7	cost	cost	NOUN
cana-949	348	8	which	which	PRON
cana-949	348	9	is	be	AUX
cana-949	348	10	fuzzy	fuzzy	ADJ
cana-949	348	11	in	in	ADP
cana-949	348	12	model	model	NOUN
cana-949	348	13	4	4	NUM
cana-949	348	14	we	we	PRON
cana-949	348	15	obtained	obtain	VERB
cana-949	348	16	and	and	CCONJ
cana-949	348	17	listed	list	VERB
cana-949	348	18	optimal	optimal	ADJ
cana-949	348	19	results	result	NOUN
cana-949	348	20	as	as	ADP
cana-949	348	21	units	unit	NOUN
cana-949	348	22	of	of	ADP
cana-949	348	23	entire	entire	ADJ
cana-949	348	24	shipping	shipping	NOUN
cana-949	348	25	(	(	PUNCT
cana-949	348	26	flow	flow	NOUN
cana-949	348	27	)	)	PUNCT
cana-949	348	28	and	and	CCONJ
cana-949	348	29	cost	cost	NOUN
cana-949	348	30	of	of	ADP
cana-949	348	31	transportation	transportation	NOUN
cana-949	348	32	.	.	PUNCT
cana-949	349	1	the	the	DET
cana-949	349	2	lingo	lingo	NOUN
cana-949	349	3	software	software	NOUN
cana-949	349	4	aided	aid	VERB
cana-949	349	5	in	in	ADP
cana-949	349	6	solving	solve	VERB
cana-949	349	7	the	the	DET
cana-949	349	8	optimization	optimization	NOUN
cana-949	349	9	problem	problem	NOUN
cana-949	349	10	.	.	PUNCT
cana-949	350	1	results	result	NOUN
cana-949	350	2	of	of	ADP
cana-949	350	3	sensitivity	sensitivity	NOUN
cana-949	350	4	analysis	analysis	NOUN
cana-949	350	5	for	for	ADP
cana-949	350	6	probabilistic	probabilistic	ADJ
cana-949	350	7	demand	demand	NOUN
cana-949	350	8	𝑏𝑗	𝑏𝑗	PRON
cana-949	350	9	presented	present	VERB
cana-949	350	10	in	in	ADP
cana-949	350	11	table	table	NOUN
cana-949	350	12	6	6	NUM
cana-949	350	13	.	.	PUNCT
cana-949	350	14	graphical	graphical	ADJ
cana-949	350	15	representation	representation	NOUN
cana-949	350	16	of	of	ADP
cana-949	350	17	cost	cost	NOUN
cana-949	350	18	of	of	ADP
cana-949	350	19	communications	communication	NOUN
cana-949	350	20	on	on	ADP
cana-949	350	21	applied	apply	VERB
cana-949	350	22	nonlinear	nonlinear	ADJ
cana-949	350	23	analysis	analysis	NOUN
cana-949	350	24	issn	issn	NOUN
cana-949	350	25	:	:	PUNCT
cana-949	350	26	1074	1074	NUM
cana-949	350	27	-	-	PUNCT
cana-949	350	28	133x	133x	NUM
cana-949	350	29	vol	vol	NOUN
cana-949	350	30	31	31	NUM
cana-949	350	31	no	no	NOUN
cana-949	350	32	.	.	PUNCT
cana-949	351	1	4s	4s	NUM
cana-949	351	2	(	(	PUNCT
cana-949	351	3	2024	2024	NUM
cana-949	351	4	)	)	PUNCT
cana-949	351	5	556	556	NUM
cana-949	351	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	351	7	transportation	transportation	NOUN
cana-949	351	8	&	&	CCONJ
cana-949	351	9	flow	flow	NOUN
cana-949	351	10	of	of	ADP
cana-949	351	11	units	unit	NOUN
cana-949	351	12	for	for	ADP
cana-949	351	13	probabilistic	probabilistic	ADJ
cana-949	351	14	demand	demand	NOUN
cana-949	351	15	in	in	ADP
cana-949	351	16	model	model	NOUN
cana-949	351	17	4th	4th	ADJ
cana-949	351	18	shown	show	VERB
cana-949	351	19	in	in	ADP
cana-949	351	20	figures	figure	NOUN
cana-949	351	21	1	1	NUM
cana-949	351	22	and	and	CCONJ
cana-949	351	23	2	2	NUM
cana-949	351	24	.	.	X
cana-949	352	1	it	it	PRON
cana-949	352	2	’s	’	VERB
cana-949	352	3	important	important	ADJ
cana-949	352	4	that	that	SCONJ
cana-949	352	5	change	change	NOUN
cana-949	352	6	in	in	ADP
cana-949	352	7	the	the	DET
cana-949	352	8	probability	probability	NOUN
cana-949	352	9	of	of	ADP
cana-949	352	10	demand	demand	NOUN
cana-949	352	11	requirements	requirement	NOUN
cana-949	352	12	significantly	significantly	ADV
cana-949	352	13	affect	affect	VERB
cana-949	352	14	cost	cost	NOUN
cana-949	352	15	of	of	ADP
cana-949	352	16	transportation	transportation	NOUN
cana-949	352	17	.	.	PUNCT
cana-949	353	1	figure	figure	NOUN
cana-949	353	2	1	1	NUM
cana-949	353	3	shows	show	VERB
cana-949	353	4	that	that	SCONJ
cana-949	353	5	the	the	DET
cana-949	353	6	cost	cost	NOUN
cana-949	353	7	of	of	ADP
cana-949	353	8	transportation	transportation	NOUN
cana-949	353	9	increase	increase	NOUN
cana-949	353	10	gradually	gradually	ADV
cana-949	353	11	for	for	ADP
cana-949	353	12	probabilistic	probabilistic	ADJ
cana-949	353	13	demand	demand	NOUN
cana-949	353	14	parameter	parameter	NOUN
cana-949	353	15	and	and	CCONJ
cana-949	353	16	obtain	obtain	VERB
cana-949	353	17	least	least	ADJ
cana-949	353	18	cost	cost	NOUN
cana-949	353	19	of	of	ADP
cana-949	353	20	transportation	transportation	NOUN
cana-949	353	21	when	when	SCONJ
cana-949	353	22	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	353	23	=	=	NOUN
cana-949	353	24	0.01	0.01	NUM
cana-949	353	25	.	.	PUNCT
cana-949	354	1	it	it	PRON
cana-949	354	2	’s	’	VERB
cana-949	354	3	important	important	ADJ
cana-949	354	4	that	that	SCONJ
cana-949	354	5	change	change	NOUN
cana-949	354	6	in	in	ADP
cana-949	354	7	the	the	DET
cana-949	354	8	probability	probability	NOUN
cana-949	354	9	of	of	ADP
cana-949	354	10	demand	demand	NOUN
cana-949	354	11	requirements	requirement	NOUN
cana-949	354	12	significantly	significantly	ADV
cana-949	354	13	affect	affect	VERB
cana-949	354	14	cost	cost	NOUN
cana-949	354	15	of	of	ADP
cana-949	354	16	transportation	transportation	NOUN
cana-949	354	17	and	and	CCONJ
cana-949	354	18	flow	flow	NOUN
cana-949	354	19	of	of	ADP
cana-949	354	20	unit	unit	NOUN
cana-949	354	21	.	.	PUNCT
cana-949	355	1	figure	figure	NOUN
cana-949	355	2	2	2	NUM
cana-949	355	3	shows	show	VERB
cana-949	355	4	that	that	SCONJ
cana-949	355	5	the	the	DET
cana-949	355	6	flow	flow	NOUN
cana-949	355	7	of	of	ADP
cana-949	355	8	unit	unit	NOUN
cana-949	355	9	largest	large	ADJ
cana-949	355	10	when	when	SCONJ
cana-949	355	11	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	355	12	=	=	NOUN
cana-949	355	13	0.99	0.99	NUM
cana-949	355	14	.	.	PUNCT
cana-949	356	1	when	when	SCONJ
cana-949	356	2	0	0	NUM
cana-949	356	3	≤	≤	PROPN
cana-949	356	4	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	356	5	≥	≥	NUM
cana-949	356	6	0.70	0.70	NUM
cana-949	356	7	,	,	PUNCT
cana-949	356	8	the	the	DET
cana-949	356	9	flow	flow	NOUN
cana-949	356	10	of	of	ADP
cana-949	356	11	unit	unit	NOUN
cana-949	356	12	unchanged	unchanged	ADJ
cana-949	356	13	.	.	PUNCT
cana-949	357	1	when	when	SCONJ
cana-949	357	2	𝑃𝑏𝑗	𝑃𝑏𝑗	PROPN
cana-949	357	3	>	>	X
cana-949	357	4	0.70	0.70	NUM
cana-949	357	5	,	,	PUNCT
cana-949	357	6	the	the	DET
cana-949	357	7	flow	flow	NOUN
cana-949	357	8	of	of	ADP
cana-949	357	9	unit	unit	NOUN
cana-949	357	10	increases	increase	NOUN
cana-949	357	11	.	.	PUNCT
cana-949	358	1	the	the	DET
cana-949	358	2	sensitivity	sensitivity	NOUN
cana-949	358	3	analysis	analysis	NOUN
cana-949	358	4	reveals	reveal	VERB
cana-949	358	5	that	that	SCONJ
cana-949	358	6	the	the	DET
cana-949	358	7	cost	cost	NOUN
cana-949	358	8	of	of	ADP
cana-949	358	9	transportation	transportation	NOUN
cana-949	358	10	cost	cost	NOUN
cana-949	358	11	and	and	CCONJ
cana-949	358	12	flow	flow	NOUN
cana-949	358	13	of	of	ADP
cana-949	358	14	unit	unit	NOUN
cana-949	358	15	in	in	ADP
cana-949	358	16	this	this	DET
cana-949	358	17	problem	problem	NOUN
cana-949	358	18	are	be	AUX
cana-949	358	19	sensitive	sensitive	ADJ
cana-949	358	20	through	through	ADP
cana-949	358	21	changes	change	NOUN
cana-949	358	22	in	in	ADP
cana-949	358	23	the	the	DET
cana-949	358	24	probabilities	probability	NOUN
cana-949	358	25	of	of	ADP
cana-949	358	26	demand	demand	NOUN
cana-949	358	27	parameter	parameter	NOUN
cana-949	358	28	𝑏𝑗.	𝑏𝑗.	ADP
cana-949	358	29	this	this	DET
cana-949	358	30	insight	insight	NOUN
cana-949	358	31	aids	aids	PROPN
cana-949	358	32	decision	decision	NOUN
cana-949	358	33	makers	maker	NOUN
cana-949	358	34	in	in	ADP
cana-949	358	35	selecting	select	VERB
cana-949	358	36	suitable	suitable	ADJ
cana-949	358	37	probabilities	probability	NOUN
cana-949	358	38	for	for	ADP
cana-949	358	39	the	the	DET
cana-949	358	40	availability	availability	NOUN
cana-949	358	41	of	of	ADP
cana-949	358	42	supply	supply	NOUN
cana-949	358	43	.	.	PUNCT
cana-949	359	1	understanding	understand	VERB
cana-949	359	2	these	these	DET
cana-949	359	3	sensitivity	sensitivity	NOUN
cana-949	359	4	patterns	pattern	NOUN
cana-949	359	5	regarding	regard	VERB
cana-949	359	6	uncertain	uncertain	ADJ
cana-949	359	7	parameters	parameter	NOUN
cana-949	359	8	empowers	empower	VERB
cana-949	359	9	decision	decision	NOUN
cana-949	359	10	maker	maker	NOUN
cana-949	359	11	with	with	ADP
cana-949	359	12	valuable	valuable	ADJ
cana-949	359	13	insights	insight	NOUN
cana-949	359	14	and	and	CCONJ
cana-949	359	15	the	the	DET
cana-949	359	16	ability	ability	NOUN
cana-949	359	17	to	to	PART
cana-949	359	18	enhance	enhance	VERB
cana-949	359	19	the	the	DET
cana-949	359	20	system	system	NOUN
cana-949	359	21	of	of	ADP
cana-949	359	22	transportation	transportation	NOUN
cana-949	359	23	.	.	PUNCT
cana-949	360	1	sr	sr	PROPN
cana-949	360	2	.	.	PUNCT
cana-949	361	1	no	no	INTJ
cana-949	361	2	.	.	PUNCT
cana-949	361	3	probability	probability	NOUN
cana-949	361	4	for	for	ADP
cana-949	361	5	𝑎𝑖(𝑃𝑎𝑖	𝑎𝑖(𝑃𝑎𝑖	PROPN
cana-949	361	6	)	)	PUNCT
cana-949	361	7	probability	probability	NOUN
cana-949	361	8	for	for	ADP
cana-949	361	9	𝑏𝑗(𝑃𝑏𝑗	𝑏𝑗(𝑃𝑏𝑗	ADJ
cana-949	361	10	)	)	PUNCT
cana-949	361	11	probability	probability	NOUN
cana-949	361	12	for	for	ADP
cana-949	361	13	𝑒𝑘(𝑃𝑒𝑘	𝑒𝑘(𝑃𝑒𝑘	NOUN
cana-949	361	14	)	)	PUNCT
cana-949	361	15	cost	cost	NOUN
cana-949	361	16	of	of	ADP
cana-949	361	17	transportation	transportation	NOUN
cana-949	361	18	flow	flow	NOUN
cana-949	361	19	of	of	ADP
cana-949	361	20	unit	unit	NOUN
cana-949	361	21	1	1	NUM
cana-949	361	22	0.50	0.50	NUM
cana-949	361	23	0.99	0.99	NUM
cana-949	361	24	0.50	0.50	NUM
cana-949	361	25	194.562	194.562	NUM
cana-949	361	26	50.2488	50.2488	NUM
cana-949	361	27	2	2	NUM
cana-949	361	28	0.95	0.95	NUM
cana-949	361	29	185.845	185.845	NUM
cana-949	361	30	48.5883	48.5883	NUM
cana-949	361	31	3	3	NUM
cana-949	361	32	0.90	0.90	NUM
cana-949	361	33	181.363	181.363	NUM
cana-949	361	34	47.7347	47.7347	NUM
cana-949	361	35	4	4	NUM
cana-949	361	36	0.85	0.85	NUM
cana-949	361	37	178.422	178.422	NUM
cana-949	361	38	47.1744	47.1744	NUM
cana-949	361	39	5	5	NUM
cana-949	361	40	0.80	0.80	NUM
cana-949	361	41	176.139	176.139	NUM
cana-949	361	42	46.7396	46.7396	NUM
cana-949	361	43	6	6	NUM
cana-949	361	44	0.75	0.75	NUM
cana-949	361	45	174.223	174.223	NUM
cana-949	361	46	46.3746	46.3746	NUM
cana-949	361	47	7	7	NUM
cana-949	361	48	0.70	0.70	NUM
cana-949	361	49	173.368	173.368	NUM
cana-949	361	50	46.33	46.33	NUM
cana-949	361	51	8	8	NUM
cana-949	361	52	0.65	0.65	NUM
cana-949	361	53	172.714	172.714	NUM
cana-949	361	54	46.33	46.33	NUM
cana-949	361	55	9	9	NUM
cana-949	361	56	0.60	0.60	NUM
cana-949	361	57	172.108	172.108	NUM
cana-949	361	58	46.33	46.33	NUM
cana-949	361	59	10	10	NUM
cana-949	361	60	0.55	0.55	NUM
cana-949	361	61	171.535	171.535	NUM
cana-949	361	62	46.33	46.33	NUM
cana-949	361	63	11	11	NUM
cana-949	361	64	0.50	0.50	NUM
cana-949	361	65	170.985	170.985	NUM
cana-949	361	66	46.33	46.33	NUM
cana-949	361	67	12	12	NUM
cana-949	361	68	0.45	0.45	NUM
cana-949	361	69	170.415	170.415	NUM
cana-949	361	70	46.33	46.33	NUM
cana-949	361	71	13	13	NUM
cana-949	361	72	0.40	0.40	NUM
cana-949	361	73	169.925	169.925	NUM
cana-949	361	74	46.33	46.33	NUM
cana-949	361	75	14	14	NUM
cana-949	361	76	0.35	0.35	NUM
cana-949	361	77	169.400	169.400	NUM
cana-949	361	78	46.33	46.33	NUM
cana-949	361	79	15	15	NUM
cana-949	361	80	0.30	0.30	NUM
cana-949	361	81	168.868	168.868	NUM
cana-949	361	82	46.33	46.33	NUM
cana-949	361	83	16	16	NUM
cana-949	361	84	0.25	0.25	NUM
cana-949	361	85	168.32	168.32	NUM
cana-949	361	86	46.33	46.33	NUM
cana-949	361	87	17	17	NUM
cana-949	361	88	0.20	0.20	NUM
cana-949	361	89	167.744	167.744	NUM
cana-949	361	90	46.33	46.33	NUM
cana-949	361	91	18	18	NUM
cana-949	361	92	0.15	0.15	NUM
cana-949	361	93	167.121	167.121	NUM
cana-949	361	94	46.33	46.33	NUM
cana-949	361	95	19	19	NUM
cana-949	361	96	0.10	0.10	NUM
cana-949	361	97	166.141	166.141	NUM
cana-949	361	98	46.33	46.33	NUM
cana-949	361	99	20	20	NUM
cana-949	361	100	0.05	0.05	NUM
cana-949	361	101	165.531	165.531	NUM
cana-949	361	102	46.33	46.33	NUM
cana-949	361	103	21	21	NUM
cana-949	361	104	0.01	0.01	NUM
cana-949	361	105	164.3948	164.3948	NUM
cana-949	361	106	46.33	46.33	NUM
cana-949	361	107	table	table	NOUN
cana-949	361	108	6	6	NUM
cana-949	361	109	:	:	PUNCT
cana-949	361	110	sensitivity	sensitivity	NOUN
cana-949	361	111	analysis	analysis	NOUN
cana-949	361	112	of	of	ADP
cana-949	361	113	sfstpmc	sfstpmc	NOUN
cana-949	361	114	communications	communication	NOUN
cana-949	361	115	on	on	ADP
cana-949	361	116	applied	apply	VERB
cana-949	361	117	nonlinear	nonlinear	ADJ
cana-949	361	118	analysis	analysis	NOUN
cana-949	361	119	issn	issn	NOUN
cana-949	361	120	:	:	PUNCT
cana-949	361	121	1074	1074	NUM
cana-949	361	122	-	-	PUNCT
cana-949	361	123	133x	133x	NUM
cana-949	361	124	vol	vol	NOUN
cana-949	361	125	31	31	NUM
cana-949	361	126	no	no	NOUN
cana-949	361	127	.	.	PUNCT
cana-949	362	1	4s	4s	NUM
cana-949	362	2	(	(	PUNCT
cana-949	362	3	2024	2024	NUM
cana-949	362	4	)	)	PUNCT
cana-949	362	5	557	557	NUM
cana-949	362	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	362	7	figure1	figure1	NUM
cana-949	362	8	:	:	PUNCT
cana-949	362	9	sensitivity	sensitivity	NOUN
cana-949	362	10	analysis	analysis	NOUN
cana-949	362	11	of	of	ADP
cana-949	362	12	transportation	transportation	NOUN
cana-949	362	13	cost	cost	NOUN
cana-949	362	14	.	.	PUNCT
cana-949	363	1	figure2	figure2	ADJ
cana-949	363	2	:	:	PUNCT
cana-949	363	3	sensitivity	sensitivity	NOUN
cana-949	363	4	analysis	analysis	NOUN
cana-949	363	5	of	of	ADP
cana-949	363	6	flow	flow	NOUN
cana-949	363	7	of	of	ADP
cana-949	363	8	unit	unit	NOUN
cana-949	363	9	.	.	PUNCT
cana-949	364	1	communications	communication	NOUN
cana-949	364	2	on	on	ADP
cana-949	364	3	applied	apply	VERB
cana-949	364	4	nonlinear	nonlinear	ADJ
cana-949	364	5	analysis	analysis	NOUN
cana-949	364	6	issn	issn	NOUN
cana-949	364	7	:	:	PUNCT
cana-949	364	8	1074	1074	NUM
cana-949	364	9	-	-	PUNCT
cana-949	364	10	133x	133x	NUM
cana-949	364	11	vol	vol	NOUN
cana-949	364	12	31	31	NUM
cana-949	364	13	no	no	NOUN
cana-949	364	14	.	.	PUNCT
cana-949	365	1	4s	4s	NUM
cana-949	365	2	(	(	PUNCT
cana-949	365	3	2024	2024	NUM
cana-949	365	4	)	)	PUNCT
cana-949	365	5	558	558	NUM
cana-949	365	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-949	365	7	8	8	NUM
cana-949	365	8	.	.	PUNCT
cana-949	365	9	conclusion	conclusion	VERB
cana-949	365	10	the	the	DET
cana-949	365	11	purpose	purpose	NOUN
cana-949	365	12	of	of	ADP
cana-949	365	13	this	this	DET
cana-949	365	14	study	study	NOUN
cana-949	365	15	was	be	AUX
cana-949	365	16	to	to	PART
cana-949	365	17	introduced	introduce	VERB
cana-949	365	18	an	an	DET
cana-949	365	19	approach	approach	NOUN
cana-949	365	20	for	for	ADP
cana-949	365	21	solving	solve	VERB
cana-949	365	22	the	the	DET
cana-949	365	23	sfstpmc	sfstpmc	NOUN
cana-949	365	24	under	under	ADP
cana-949	365	25	probabilistic	probabilistic	ADJ
cana-949	365	26	constraints	constraint	NOUN
cana-949	365	27	such	such	ADJ
cana-949	365	28	as	as	ADP
cana-949	365	29	supply	supply	NOUN
cana-949	365	30	,	,	PUNCT
cana-949	365	31	demand	demand	NOUN
cana-949	365	32	&	&	CCONJ
cana-949	365	33	conveyance	conveyance	NOUN
cana-949	365	34	capacity	capacity	NOUN
cana-949	365	35	described	describe	VERB
cana-949	365	36	as	as	ADP
cana-949	365	37	weibull	weibull	NOUN
cana-949	365	38	distribution	distribution	NOUN
cana-949	365	39	and	and	CCONJ
cana-949	365	40	also	also	ADV
cana-949	365	41	includes	include	VERB
cana-949	365	42	fuzzy	fuzzy	ADJ
cana-949	365	43	objective	objective	ADJ
cana-949	365	44	function	function	NOUN
cana-949	365	45	such	such	ADJ
cana-949	365	46	as	as	ADP
cana-949	365	47	cost	cost	NOUN
cana-949	365	48	of	of	ADP
cana-949	365	49	transportation	transportation	NOUN
cana-949	365	50	.	.	PUNCT
cana-949	366	1	obtain	obtain	VERB
cana-949	366	2	alpha	alpha	NOUN
cana-949	366	3	cut	cut	NOUN
cana-949	366	4	representation	representation	NOUN
cana-949	366	5	from	from	ADP
cana-949	366	6	cost	cost	NOUN
cana-949	366	7	coefficient	coefficient	NOUN
cana-949	366	8	of	of	ADP
cana-949	366	9	the	the	DET
cana-949	366	10	fuzzy	fuzzy	ADJ
cana-949	366	11	objective	objective	ADJ
cana-949	366	12	function	function	NOUN
cana-949	366	13	and	and	CCONJ
cana-949	366	14	through	through	ADP
cana-949	366	15	weibull	weibull	NOUN
cana-949	366	16	distribution	distribution	NOUN
cana-949	366	17	,	,	PUNCT
cana-949	366	18	obtain	obtain	VERB
cana-949	366	19	deterministic	deterministic	ADJ
cana-949	366	20	form	form	NOUN
cana-949	366	21	of	of	ADP
cana-949	366	22	stochastic	stochastic	ADJ
cana-949	366	23	constraints	constraint	NOUN
cana-949	366	24	.	.	PUNCT
cana-949	367	1	developed	develop	VERB
cana-949	367	2	four	four	NUM
cana-949	367	3	models	model	NOUN
cana-949	367	4	of	of	ADP
cana-949	367	5	sfstpmc	sfstpmc	NOUN
cana-949	367	6	and	and	CCONJ
cana-949	367	7	optimize	optimize	VERB
cana-949	367	8	these	these	DET
cana-949	367	9	models	model	NOUN
cana-949	367	10	through	through	ADP
cana-949	367	11	lingo	lingo	NOUN
cana-949	367	12	software	software	NOUN
cana-949	367	13	.	.	PUNCT
cana-949	368	1	in	in	ADP
cana-949	368	2	this	this	DET
cana-949	368	3	study	study	NOUN
cana-949	368	4	we	we	PRON
cana-949	368	5	address	address	VERB
cana-949	368	6	solid	solid	ADJ
cana-949	368	7	transportation	transportation	NOUN
cana-949	368	8	problem	problem	NOUN
cana-949	368	9	which	which	PRON
cana-949	368	10	includes	include	VERB
cana-949	368	11	three	three	NUM
cana-949	368	12	mixed	mixed	ADJ
cana-949	368	13	constraint	constraint	NOUN
cana-949	368	14	stochastic	stochastic	NOUN
cana-949	368	15	parameters	parameter	NOUN
cana-949	368	16	(	(	PUNCT
cana-949	368	17	supply	supply	NOUN
cana-949	368	18	,	,	PUNCT
cana-949	368	19	demand	demand	NOUN
cana-949	368	20	and	and	CCONJ
cana-949	368	21	conveyance	conveyance	NOUN
cana-949	368	22	)	)	PUNCT
cana-949	368	23	.	.	PUNCT
cana-949	369	1	its	its	PRON
cana-949	369	2	’s	’s	ADV
cana-949	369	3	noted	note	VERB
cana-949	369	4	that	that	SCONJ
cana-949	369	5	several	several	ADJ
cana-949	369	6	factors	factor	NOUN
cana-949	369	7	significantly	significantly	ADV
cana-949	369	8	influence	influence	VERB
cana-949	369	9	the	the	DET
cana-949	369	10	overall	overall	ADJ
cana-949	369	11	cost	cost	NOUN
cana-949	369	12	of	of	ADP
cana-949	369	13	transportation	transportation	NOUN
cana-949	369	14	and	and	CCONJ
cana-949	369	15	unit	unit	NOUN
cana-949	369	16	of	of	ADP
cana-949	369	17	shipping	shipping	NOUN
cana-949	369	18	,	,	PUNCT
cana-949	369	19	when	when	SCONJ
cana-949	369	20	distributing	distribute	VERB
cana-949	369	21	harmful	harmful	ADJ
cana-949	369	22	goods	good	NOUN
cana-949	369	23	such	such	ADJ
cana-949	369	24	as	as	ADP
cana-949	369	25	vaccines	vaccine	NOUN
cana-949	369	26	and	and	CCONJ
cana-949	369	27	fragile	fragile	ADJ
cana-949	369	28	items	item	NOUN
cana-949	369	29	.	.	PUNCT
cana-949	370	1	consequently	consequently	ADV
cana-949	370	2	,	,	PUNCT
cana-949	370	3	its	its	PRON
cana-949	370	4	’s	’s	NOUN
cana-949	370	5	crucial	crucial	ADJ
cana-949	370	6	to	to	PART
cana-949	370	7	incorporate	incorporate	VERB
cana-949	370	8	these	these	DET
cana-949	370	9	factors	factor	NOUN
cana-949	370	10	as	as	ADP
cana-949	370	11	parameters	parameter	NOUN
cana-949	370	12	for	for	ADP
cana-949	370	13	stp	stp	PROPN
cana-949	370	14	’s	’s	PART
cana-949	370	15	and	and	CCONJ
cana-949	370	16	implement	implement	VERB
cana-949	370	17	the	the	DET
cana-949	370	18	relevant	relevant	ADJ
cana-949	370	19	constraints	constraint	NOUN
cana-949	370	20	accordingly	accordingly	ADV
cana-949	370	21	.	.	PUNCT
cana-949	371	1	an	an	DET
cana-949	371	2	illustrative	illustrative	ADJ
cana-949	371	3	numerical	numerical	ADJ
cana-949	371	4	example	example	NOUN
cana-949	371	5	is	be	AUX
cana-949	371	6	provided	provide	VERB
cana-949	371	7	to	to	PART
cana-949	371	8	demonstrate	demonstrate	VERB
cana-949	371	9	the	the	DET
cana-949	371	10	efficacy	efficacy	NOUN
cana-949	371	11	of	of	ADP
cana-949	371	12	these	these	DET
cana-949	371	13	models	model	NOUN
cana-949	371	14	.	.	PUNCT
cana-949	372	1	results	result	NOUN
cana-949	372	2	of	of	ADP
cana-949	372	3	sensitivity	sensitivity	NOUN
cana-949	372	4	analysis	analysis	NOUN
cana-949	372	5	for	for	ADP
cana-949	372	6	model	model	NOUN
cana-949	372	7	4	4	NUM
cana-949	372	8	supply	supply	NOUN
cana-949	372	9	,	,	PUNCT
cana-949	372	10	demand	demand	NOUN
cana-949	372	11	and	and	CCONJ
cana-949	372	12	conveyance	conveyance	NOUN
cana-949	372	13	capacity	capacity	NOUN
cana-949	372	14	,	,	PUNCT
cana-949	372	15	presented	present	VERB
cana-949	372	16	.	.	PUNCT
cana-949	373	1	figures	figure	NOUN
cana-949	373	2	1	1	NUM
cana-949	373	3	&	&	CCONJ
cana-949	373	4	2	2	NUM
cana-949	373	5	visually	visually	ADV
cana-949	373	6	represents	represent	VERB
cana-949	373	7	the	the	DET
cana-949	373	8	impact	impact	NOUN
cana-949	373	9	of	of	ADP
cana-949	373	10	change	change	NOUN
cana-949	373	11	in	in	ADP
cana-949	373	12	demand	demand	NOUN
cana-949	373	13	parameters	parameter	NOUN
cana-949	373	14	on	on	ADP
cana-949	373	15	entire	entire	ADJ
cana-949	373	16	cost	cost	NOUN
cana-949	373	17	of	of	ADP
cana-949	373	18	transportation	transportation	NOUN
cana-949	373	19	and	and	CCONJ
cana-949	373	20	flow	flow	NOUN
cana-949	373	21	of	of	ADP
cana-949	373	22	unit	unit	NOUN
cana-949	373	23	in	in	ADP
cana-949	373	24	model	model	NOUN
cana-949	373	25	4	4	NUM
cana-949	373	26	as	as	ADP
cana-949	373	27	part	part	NOUN
cana-949	373	28	of	of	ADP
cana-949	373	29	sensitivity	sensitivity	NOUN
cana-949	373	30	analysis	analysis	NOUN
cana-949	373	31	.	.	PUNCT
cana-949	374	1	similarly	similarly	ADV
cana-949	374	2	,	,	PUNCT
cana-949	374	3	sensitivity	sensitivity	NOUN
cana-949	374	4	analysis	analysis	NOUN
cana-949	374	5	is	be	AUX
cana-949	374	6	conducted	conduct	VERB
cana-949	374	7	for	for	ADP
cana-949	374	8	the	the	DET
cana-949	374	9	supply	supply	NOUN
cana-949	374	10	and	and	CCONJ
cana-949	374	11	conveyance	conveyance	NOUN
cana-949	374	12	capacity	capacity	NOUN
cana-949	374	13	parameters	parameter	NOUN
cana-949	374	14	.	.	PUNCT
cana-949	375	1	moreover	moreover	ADV
cana-949	375	2	,	,	PUNCT
cana-949	375	3	this	this	DET
cana-949	375	4	analysis	analysis	NOUN
cana-949	375	5	underscores	underscore	VERB
cana-949	375	6	the	the	DET
cana-949	375	7	importance	importance	NOUN
cana-949	375	8	of	of	ADP
cana-949	375	9	understanding	understand	VERB
cana-949	375	10	the	the	DET
cana-949	375	11	sensitivity	sensitivity	NOUN
cana-949	375	12	of	of	ADP
cana-949	375	13	mixed	mixed	ADJ
cana-949	375	14	constraint	constraint	NOUN
cana-949	375	15	in	in	ADP
cana-949	375	16	the	the	DET
cana-949	375	17	condition	condition	NOUN
cana-949	375	18	of	of	ADP
cana-949	375	19	increase	increase	NOUN
cana-949	375	20	uncertainty	uncertainty	NOUN
cana-949	375	21	,	,	PUNCT
cana-949	375	22	aiding	aid	VERB
cana-949	375	23	decision	decision	NOUN
cana-949	375	24	makers	maker	NOUN
cana-949	375	25	in	in	ADP
cana-949	375	26	determining	determine	VERB
cana-949	375	27	the	the	DET
cana-949	375	28	appropriate	appropriate	ADJ
cana-949	375	29	level	level	NOUN
cana-949	375	30	of	of	ADP
cana-949	375	31	uncertainty	uncertainty	NOUN
cana-949	375	32	for	for	ADP
cana-949	375	33	uncertain	uncertain	ADJ
cana-949	375	34	parameters	parameter	NOUN
cana-949	375	35	.	.	PUNCT
cana-949	376	1	the	the	DET
cana-949	376	2	computed	compute	VERB
cana-949	376	3	results	result	NOUN
cana-949	376	4	clearly	clearly	ADV
cana-949	376	5	demonstrate	demonstrate	VERB
cana-949	376	6	the	the	DET
cana-949	376	7	validity	validity	NOUN
cana-949	376	8	of	of	ADP
cana-949	376	9	the	the	DET
cana-949	376	10	designed	design	VERB
cana-949	376	11	model	model	NOUN
cana-949	376	12	across	across	ADP
cana-949	376	13	various	various	ADJ
cana-949	376	14	parameters	parameter	NOUN
cana-949	376	15	.	.	PUNCT
cana-949	377	1	sfstpmc	sfstpmc	PROPN
cana-949	377	2	problem	problem	PROPN
cana-949	377	3	shows	show	VERB
cana-949	377	4	important	important	ADJ
cana-949	377	5	role	role	NOUN
cana-949	377	6	in	in	ADP
cana-949	377	7	various	various	ADJ
cana-949	377	8	decision	decision	NOUN
cana-949	377	9	makers	maker	NOUN
cana-949	377	10	managerial	managerial	ADJ
cana-949	377	11	scenarios	scenario	NOUN
cana-949	377	12	,	,	PUNCT
cana-949	377	13	particularly	particularly	ADV
cana-949	377	14	in	in	ADP
cana-949	377	15	problem	problem	NOUN
cana-949	377	16	including	include	VERB
cana-949	377	17	planning	planning	NOUN
cana-949	377	18	of	of	ADP
cana-949	377	19	resource	resource	NOUN
cana-949	377	20	allocation	allocation	NOUN
cana-949	377	21	in	in	ADP
cana-949	377	22	industries	industry	NOUN
cana-949	377	23	production	production	NOUN
cana-949	377	24	where	where	SCONJ
cana-949	377	25	demand	demand	NOUN
cana-949	377	26	,	,	PUNCT
cana-949	377	27	conveyance	conveyance	NOUN
cana-949	377	28	capacity	capacity	NOUN
cana-949	377	29	and	and	CCONJ
cana-949	377	30	supply	supply	NOUN
cana-949	377	31	are	be	AUX
cana-949	377	32	inherently	inherently	ADV
cana-949	377	33	random	random	ADJ
cana-949	377	34	variables	variable	NOUN
cana-949	377	35	.	.	PUNCT
cana-949	378	1	for	for	ADP
cana-949	378	2	optimization	optimization	NOUN
cana-949	378	3	,	,	PUNCT
cana-949	378	4	this	this	DET
cana-949	378	5	tool	tool	NOUN
cana-949	378	6	is	be	AUX
cana-949	378	7	effective	effective	ADJ
cana-949	378	8	on	on	ADP
cana-949	378	9	these	these	DET
cana-949	378	10	types	type	NOUN
cana-949	378	11	of	of	ADP
cana-949	378	12	problems	problem	NOUN
cana-949	378	13	.	.	PUNCT
cana-949	379	1	9	9	X
cana-949	379	2	.	.	NUM
cana-949	379	3	limitations	limitation	NOUN
cana-949	379	4	and	and	CCONJ
cana-949	379	5	future	future	ADJ
cana-949	379	6	scope	scope	NOUN
cana-949	379	7	the	the	DET
cana-949	379	8	current	current	ADJ
cana-949	379	9	study	study	NOUN
cana-949	379	10	’s	’s	PART
cana-949	379	11	limitations	limitation	NOUN
cana-949	379	12	are	be	AUX
cana-949	379	13	outlined	outline	VERB
cana-949	379	14	,	,	PUNCT
cana-949	379	15	a	a	DET
cana-949	379	16	sftp	sftp	NOUN
cana-949	379	17	with	with	ADP
cana-949	379	18	mixed	mixed	ADJ
cana-949	379	19	constraints	constraint	NOUN
cana-949	379	20	is	be	AUX
cana-949	379	21	examined	examine	VERB
cana-949	379	22	within	within	ADP
cana-949	379	23	stochastic	stochastic	ADJ
cana-949	379	24	environment	environment	NOUN
cana-949	379	25	,	,	PUNCT
cana-949	379	26	focusing	focus	VERB
cana-949	379	27	only	only	ADV
cana-949	379	28	on	on	ADP
cana-949	379	29	cost	cost	NOUN
cana-949	379	30	of	of	ADP
cana-949	379	31	transportation	transportation	NOUN
cana-949	379	32	as	as	ADP
cana-949	379	33	a	a	DET
cana-949	379	34	single	single	ADJ
cana-949	379	35	objective	objective	NOUN
cana-949	379	36	.	.	PUNCT
cana-949	380	1	however	however	ADV
cana-949	380	2	,	,	PUNCT
cana-949	380	3	in	in	ADP
cana-949	380	4	realworld	realworld	PROPN
cana-949	380	5	decision	decision	NOUN
cana-949	380	6	-	-	PUNCT
cana-949	380	7	making	make	VERB
cana-949	380	8	processes	process	NOUN
cana-949	380	9	,	,	PUNCT
cana-949	380	10	dealing	deal	VERB
cana-949	380	11	with	with	ADP
cana-949	380	12	complex	complex	ADJ
cana-949	380	13	organizational	organizational	ADJ
cana-949	380	14	contexts	context	NOUN
cana-949	380	15	can	can	AUX
cana-949	380	16	not	not	PART
cana-949	380	17	apply	apply	VERB
cana-949	380	18	only	only	ADV
cana-949	380	19	single	single	ADJ
cana-949	380	20	criterion	criterion	NOUN
cana-949	380	21	.	.	PUNCT
cana-949	381	1	therefore	therefore	ADV
cana-949	381	2	,	,	PUNCT
cana-949	381	3	it	it	PRON
cana-949	381	4	’s	’	VERB
cana-949	381	5	necessary	necessary	ADJ
cana-949	381	6	to	to	PART
cana-949	381	7	recognize	recognize	VERB
cana-949	381	8	the	the	DET
cana-949	381	9	presence	presence	NOUN
cana-949	381	10	of	of	ADP
cana-949	381	11	multiple	multiple	ADJ
cana-949	381	12	criteria	criterion	NOUN
cana-949	381	13	that	that	PRON
cana-949	381	14	can	can	AUX
cana-949	381	15	enhance	enhance	VERB
cana-949	381	16	multi	multi	ADJ
cana-949	381	17	criteria	criterion	NOUN
cana-949	381	18	decision	decision	NOUN
cana-949	381	19	making	making	NOUN
cana-949	381	20	.	.	PUNCT
cana-949	382	1	consequently	consequently	ADV
cana-949	382	2	,	,	PUNCT
cana-949	382	3	our	our	PRON
cana-949	382	4	future	future	ADJ
cana-949	382	5	research	research	NOUN
cana-949	382	6	aims	aim	VERB
cana-949	382	7	to	to	PART
cana-949	382	8	explore	explore	VERB
cana-949	382	9	sfstpmc	sfstpmc	NOUN
cana-949	382	10	scenarios	scenario	NOUN
cana-949	382	11	by	by	ADP
cana-949	382	12	incorporating	incorporate	VERB
cana-949	382	13	multiple	multiple	ADJ
cana-949	382	14	objectives	objective	NOUN
cana-949	382	15	including	include	VERB
cana-949	382	16	multiple	multiple	ADJ
cana-949	382	17	item	item	NOUN
cana-949	382	18	parameters	parameter	NOUN
cana-949	382	19	.	.	PUNCT
cana-949	383	1	employing	employ	VERB
cana-949	383	2	the	the	DET
cana-949	383	3	methodology	methodology	NOUN
cana-949	383	4	introduces	introduce	NOUN
cana-949	383	5	in	in	ADP
cana-949	383	6	the	the	DET
cana-949	383	7	study	study	NOUN
cana-949	383	8	,	,	PUNCT
cana-949	383	9	variations	variation	NOUN
cana-949	383	10	in	in	ADP
cana-949	383	11	supply	supply	NOUN
cana-949	383	12	,	,	PUNCT
cana-949	383	13	demand	demand	NOUN
cana-949	383	14	and	and	CCONJ
cana-949	383	15	conveyance	conveyance	NOUN
cana-949	383	16	can	can	AUX
cana-949	383	17	be	be	AUX
cana-949	383	18	factored	factor	VERB
cana-949	383	19	into	into	ADP
cana-949	383	20	the	the	DET
cana-949	383	21	economic	economic	ADJ
cana-949	383	22	order	order	NOUN
cana-949	383	23	quantity	quantity	NOUN
cana-949	383	24	model	model	NOUN
cana-949	383	25	.	.	PUNCT
cana-949	384	1	additionally	additionally	ADV
cana-949	384	2	,	,	PUNCT
cana-949	384	3	in	in	ADP
cana-949	384	4	forthcoming	forthcoming	ADJ
cana-949	384	5	research	research	NOUN
cana-949	384	6	,	,	PUNCT
cana-949	384	7	we	we	PRON
cana-949	384	8	intent	intent	VERB
cana-949	384	9	to	to	PART
cana-949	384	10	collect	collect	VERB
cana-949	384	11	real	real	ADJ
cana-949	384	12	world	world	NOUN
cana-949	384	13	data	datum	NOUN
cana-949	384	14	from	from	ADP
cana-949	384	15	authoritative	authoritative	ADJ
cana-949	384	16	sources	source	NOUN
cana-949	384	17	and	and	CCONJ
cana-949	384	18	utilize	utilize	VERB
cana-949	384	19	statistical	statistical	ADJ
cana-949	384	20	regularity	regularity	NOUN
cana-949	384	21	criteria	criterion	NOUN
cana-949	384	22	to	to	PART
cana-949	384	23	establish	establish	VERB
cana-949	384	24	its	its	PRON
cana-949	384	25	probability	probability	NOUN
cana-949	384	26	distribution	distribution	NOUN
cana-949	384	27	,	,	PUNCT
cana-949	384	28	thereby	thereby	ADV
cana-949	384	29	expanding	expand	VERB
cana-949	384	30	the	the	DET
cana-949	384	31	applicability	applicability	NOUN
cana-949	384	32	of	of	ADP
cana-949	384	33	the	the	DET
cana-949	384	34	weibull	weibull	PROPN
cana-949	384	35	distribution	distribution	NOUN
cana-949	384	36	.	.	PUNCT
cana-949	385	1	references	reference	NOUN
cana-949	385	2	[	[	X
cana-949	385	3	1	1	NUM
cana-949	385	4	]	]	PUNCT
cana-949	385	5	f.	f.	PROPN
cana-949	385	6	l.	l.	PROPN
cana-949	385	7	hitchcock	hitchcock	PROPN
cana-949	385	8	,	,	PUNCT
cana-949	385	9	“	"	PUNCT
cana-949	385	10	the	the	DET
cana-949	385	11	distribution	distribution	NOUN
cana-949	385	12	of	of	ADP
cana-949	385	13	a	a	DET
cana-949	385	14	product	product	NOUN
cana-949	385	15	from	from	ADP
cana-949	385	16	several	several	ADJ
cana-949	385	17	sources	source	NOUN
cana-949	385	18	to	to	ADP
cana-949	385	19	numerous	numerous	ADJ
cana-949	385	20	localities	locality	NOUN
cana-949	385	21	,	,	PUNCT
cana-949	385	22	”	"	PUNCT
cana-949	385	23	journal	journal	NOUN
cana-949	385	24	of	of	ADP
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cana-949	385	26	and	and	CCONJ
cana-949	385	27	physics	physics	NOUN
cana-949	385	28	,	,	PUNCT
cana-949	385	29	vol	vol	NOUN
cana-949	385	30	.	.	PROPN
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cana-949	385	32	,	,	PUNCT
cana-949	385	33	no	no	INTJ
cana-949	385	34	.	.	PUNCT
cana-949	386	1	1–4	1–4	NUM
cana-949	386	2	,	,	PUNCT
cana-949	386	3	pp	pp	X
cana-949	386	4	.	.	PUNCT
cana-949	387	1	224–230	224–230	NUM
cana-949	387	2	,	,	PUNCT
cana-949	387	3	apr	apr	PROPN
cana-949	387	4	.	.	PROPN
cana-949	387	5	1941	1941	NUM
cana-949	387	6	,	,	PUNCT
cana-949	387	7	doi	doi	NOUN
cana-949	387	8	:	:	PUNCT
cana-949	387	9	10.1002	10.1002	NUM
cana-949	387	10	/	/	SYM
cana-949	387	11	sapm1941201224	sapm1941201224	PROPN
cana-949	387	12	.	.	PUNCT
cana-949	388	1	[	[	X
cana-949	388	2	2	2	NUM
cana-949	388	3	]	]	PUNCT
cana-949	388	4	k.	k.	PROPN
cana-949	388	5	b.	b.	PROPN
cana-949	388	6	haley	haley	PROPN
cana-949	388	7	,	,	PUNCT
cana-949	388	8	“	"	PUNCT
cana-949	388	9	new	new	ADJ
cana-949	388	10	methods	method	NOUN
cana-949	388	11	in	in	ADP
cana-949	388	12	mathematical	mathematical	ADJ
cana-949	388	13	programming	programming	NOUN
cana-949	388	14	—	—	PUNCT
cana-949	388	15	the	the	DET
cana-949	388	16	solid	solid	ADJ
cana-949	388	17	transportation	transportation	NOUN
cana-949	388	18	problem	problem	NOUN
cana-949	388	19	,	,	PUNCT
cana-949	388	20	”	"	PUNCT
cana-949	388	21	https://doi.org/10.1287/opre.10.4.448	https://doi.org/10.1287/opre.10.4.448	PROPN
cana-949	388	22	,	,	PUNCT
cana-949	388	23	vol	vol	NOUN
cana-949	388	24	.	.	PROPN
cana-949	388	25	10	10	NUM
cana-949	388	26	,	,	PUNCT
cana-949	388	27	no	no	INTJ
cana-949	388	28	.	.	NOUN
cana-949	388	29	4	4	NUM
cana-949	388	30	,	,	PUNCT
cana-949	388	31	pp	pp	ADJ
cana-949	388	32	.	.	PUNCT
cana-949	389	1	448–463	448–463	NUM
cana-949	389	2	,	,	PUNCT
cana-949	389	3	aug	aug	PROPN
cana-949	389	4	.	.	PROPN
cana-949	389	5	1962	1962	NUM
cana-949	389	6	,	,	PUNCT
cana-949	389	7	doi	doi	NOUN
cana-949	389	8	:	:	PUNCT
cana-949	389	9	10.1287	10.1287	NUM
cana-949	389	10	/	/	SYM
cana-949	389	11	opre.10.4.448	opre.10.4.448	X
cana-949	389	12	.	.	PUNCT
cana-949	390	1	[	[	X
cana-949	390	2	3	3	X
cana-949	390	3	]	]	PUNCT
cana-949	390	4	k.	k.	PROPN
cana-949	390	5	b.	b.	PROPN
cana-949	390	6	haley	haley	PROPN
cana-949	390	7	,	,	PUNCT
cana-949	390	8	“	"	PUNCT
cana-949	390	9	the	the	DET
cana-949	390	10	multi	multi	ADJ
cana-949	390	11	-	-	ADJ
cana-949	390	12	index	index	NOUN
cana-949	390	13	problem	problem	NOUN
cana-949	390	14	,	,	PUNCT
cana-949	390	15	”	"	PUNCT
cana-949	390	16	oper	oper	NOUN
cana-949	390	17	res	re	NOUN
cana-949	390	18	,	,	PUNCT
cana-949	390	19	vol	vol	NOUN
cana-949	390	20	.	.	PROPN
cana-949	390	21	11	11	NUM
cana-949	390	22	,	,	PUNCT
cana-949	390	23	no	no	INTJ
cana-949	390	24	.	.	NOUN
cana-949	390	25	3	3	NUM
cana-949	390	26	,	,	PUNCT
cana-949	390	27	pp	pp	ADJ
cana-949	390	28	.	.	PUNCT
cana-949	391	1	368–379	368–379	NUM
cana-949	391	2	,	,	PUNCT
cana-949	391	3	jun	jun	PROPN
cana-949	391	4	.	.	PROPN
cana-949	391	5	1963	1963	NUM
cana-949	391	6	,	,	PUNCT
cana-949	391	7	doi	doi	NOUN
cana-949	391	8	:	:	PUNCT
cana-949	391	9	10.1287	10.1287	NUM
cana-949	391	10	/	/	SYM
cana-949	391	11	opre.11.3.368	opre.11.3.368	NOUN
cana-949	391	12	.	.	PUNCT
cana-949	392	1	communications	communication	NOUN
cana-949	392	2	on	on	ADP
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cana-949	392	6	issn	issn	NOUN
cana-949	392	7	:	:	PUNCT
cana-949	392	8	1074	1074	NUM
cana-949	392	9	-	-	PUNCT
cana-949	392	10	133x	133x	NUM
cana-949	392	11	vol	vol	NOUN
cana-949	392	12	31	31	NUM
cana-949	392	13	no	no	NOUN
cana-949	392	14	.	.	PUNCT
cana-949	393	1	4s	4s	NUM
cana-949	393	2	(	(	PUNCT
cana-949	393	3	2024	2024	NUM
cana-949	393	4	)	)	PUNCT
cana-949	393	5	559	559	NUM
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cana-949	394	1	[	[	X
cana-949	394	2	4	4	X
cana-949	394	3	]	]	PUNCT
cana-949	394	4	l.	l.	PROPN
cana-949	394	5	a.	a.	PROPN
cana-949	394	6	zadeh	zadeh	PROPN
cana-949	394	7	,	,	PUNCT
cana-949	394	8	“	"	PUNCT
cana-949	394	9	fuzzy	fuzzy	ADJ
cana-949	394	10	sets	set	NOUN
cana-949	394	11	as	as	ADP
cana-949	394	12	a	a	DET
cana-949	394	13	basis	basis	NOUN
cana-949	394	14	for	for	ADP
cana-949	394	15	a	a	DET
cana-949	394	16	theory	theory	NOUN
cana-949	394	17	of	of	ADP
cana-949	394	18	possibility	possibility	NOUN
cana-949	394	19	,	,	PUNCT
cana-949	394	20	”	"	PUNCT
cana-949	394	21	fuzzy	fuzzy	ADJ
cana-949	394	22	sets	set	NOUN
cana-949	394	23	syst	syst	NOUN
cana-949	394	24	,	,	PUNCT
cana-949	394	25	vol	vol	NOUN
cana-949	394	26	.	.	PROPN
cana-949	394	27	1	1	NUM
cana-949	394	28	,	,	PUNCT
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cana-949	394	30	.	.	NOUN
cana-949	394	31	1	1	NUM
cana-949	394	32	,	,	PUNCT
cana-949	394	33	pp	pp	PROPN
cana-949	394	34	.	.	PUNCT
cana-949	395	1	3–28	3–28	PROPN
cana-949	395	2	,	,	PUNCT
cana-949	395	3	1978	1978	NUM
cana-949	395	4	,	,	PUNCT
cana-949	395	5	doi	doi	NOUN
cana-949	395	6	:	:	PUNCT
cana-949	395	7	10.1016/0165	10.1016/0165	NUM
cana-949	395	8	-	-	PUNCT
cana-949	395	9	0114(78)90029	0114(78)90029	NUM
cana-949	395	10	-	-	PUNCT
cana-949	395	11	5	5	NUM
cana-949	395	12	.	.	PUNCT
cana-949	396	1	[	[	X
cana-949	396	2	5	5	NUM
cana-949	396	3	]	]	PUNCT
cana-949	396	4	a.	a.	NOUN
cana-949	396	5	das	das	PROPN
cana-949	396	6	,	,	PUNCT
cana-949	396	7	u.	u.	PROPN
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cana-949	396	9	bera	bera	PROPN
cana-949	396	10	,	,	PUNCT
cana-949	396	11	and	and	CCONJ
cana-949	396	12	b.	b.	PROPN
cana-949	396	13	das	das	PROPN
cana-949	396	14	,	,	PUNCT
cana-949	396	15	“	"	PUNCT
cana-949	396	16	a	a	DET
cana-949	396	17	solid	solid	ADJ
cana-949	396	18	transportation	transportation	NOUN
cana-949	396	19	problem	problem	NOUN
cana-949	396	20	with	with	ADP
cana-949	396	21	mixed	mixed	ADJ
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cana-949	396	23	in	in	ADP
cana-949	396	24	different	different	ADJ
cana-949	396	25	environment	environment	NOUN
cana-949	396	26	,	,	PUNCT
cana-949	396	27	”	"	PUNCT
cana-949	396	28	journal	journal	NOUN
cana-949	396	29	of	of	ADP
cana-949	396	30	applied	apply	VERB
cana-949	396	31	analysis	analysis	NOUN
cana-949	396	32	and	and	CCONJ
cana-949	396	33	computation	computation	NOUN
cana-949	396	34	,	,	PUNCT
cana-949	396	35	vol	vol	NOUN
cana-949	396	36	.	.	PROPN
cana-949	396	37	6	6	NUM
cana-949	396	38	,	,	PUNCT
cana-949	396	39	no	no	INTJ
cana-949	396	40	.	.	NOUN
cana-949	396	41	1	1	NUM
cana-949	396	42	,	,	PUNCT
cana-949	396	43	pp	pp	ADJ
cana-949	396	44	.	.	PUNCT
cana-949	397	1	179–195	179–195	NUM
cana-949	397	2	,	,	PUNCT
cana-949	397	3	2016	2016	NUM
cana-949	397	4	,	,	PUNCT
cana-949	397	5	doi	doi	NOUN
cana-949	397	6	:	:	PUNCT
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cana-949	397	8	.	.	PUNCT
cana-949	398	1	[	[	X
cana-949	398	2	6	6	NUM
cana-949	398	3	]	]	PUNCT
cana-949	398	4	p.	p.	NOUN
cana-949	398	5	k.	k.	PROPN
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cana-949	399	2	,	,	PUNCT
cana-949	399	3	m.	m.	PROPN
cana-949	399	4	k.	k.	PROPN
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cana-949	399	7	and	and	CCONJ
cana-949	399	8	m.	m.	NOUN
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cana-949	399	10	,	,	PUNCT
cana-949	399	11	“	"	PUNCT
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cana-949	399	16	problem	problem	NOUN
cana-949	399	17	using	use	VERB
cana-949	399	18	fuzzy	fuzzy	ADJ
cana-949	399	19	goal	goal	NOUN
cana-949	399	20	programming	programming	NOUN
cana-949	399	21	approach	approach	NOUN
cana-949	399	22	,	,	PUNCT
cana-949	399	23	”	"	PUNCT
cana-949	399	24	comput	comput	PROPN
cana-949	399	25	ind	ind	PROPN
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cana-949	399	27	,	,	PUNCT
cana-949	399	28	vol	vol	NOUN
cana-949	399	29	.	.	PROPN
cana-949	399	30	72	72	NUM
cana-949	399	31	,	,	PUNCT
cana-949	399	32	pp	pp	ADJ
cana-949	399	33	.	.	PUNCT
cana-949	400	1	160–168	160–168	NUM
cana-949	400	2	,	,	PUNCT
cana-949	400	3	jun	jun	PROPN
cana-949	400	4	.	.	PROPN
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cana-949	400	6	,	,	PUNCT
cana-949	400	7	doi	doi	NOUN
cana-949	400	8	:	:	PUNCT
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cana-949	400	10	/	/	SYM
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cana-949	400	12	.	.	PUNCT
cana-949	401	1	[	[	X
cana-949	401	2	7	7	X
cana-949	401	3	]	]	X
cana-949	401	4	n.	n.	PROPN
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cana-949	401	6	,	,	PUNCT
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cana-949	401	9	,	,	PUNCT
cana-949	401	10	and	and	CCONJ
cana-949	401	11	e.	e.	PROPN
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cana-949	401	13	,	,	PUNCT
cana-949	401	14	“	"	PUNCT
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cana-949	401	17	transportation	transportation	NOUN
cana-949	401	18	problems	problem	NOUN
cana-949	401	19	under	under	ADP
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cana-949	401	21	environment	environment	NOUN
cana-949	401	22	using	use	VERB
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cana-949	401	25	,	,	PUNCT
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cana-949	401	28	of	of	ADP
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cana-949	401	30	engineering	engineering	NOUN
cana-949	401	31	,	,	PUNCT
cana-949	401	32	vol	vol	NOUN
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cana-949	401	35	,	,	PUNCT
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cana-949	401	38	1	1	NUM
cana-949	401	39	,	,	PUNCT
cana-949	401	40	pp	pp	ADJ
cana-949	401	41	.	.	PUNCT
cana-949	401	42	130	130	NUM
cana-949	401	43	–	–	PUNCT
cana-949	401	44	144	144	NUM
cana-949	401	45	,	,	PUNCT
cana-949	401	46	apr	apr	NOUN
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cana-949	401	49	,	,	PUNCT
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cana-949	401	51	:	:	PUNCT
cana-949	401	52	apr	apr	NOUN
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cana-949	401	57	.	.	PUNCT
cana-949	402	1	[	[	X
cana-949	402	2	online	online	X
cana-949	402	3	]	]	X
cana-949	402	4	.	.	PUNCT
cana-949	403	1	available	available	ADJ
cana-949	403	2	:	:	PUNCT
cana-949	404	1	https://dergipark.org.tr/en/pub/endustrimuhendisligi/issue/69524/928699	https://dergipark.org.tr/en/pub/endustrimuhendisligi/issue/69524/928699	PROPN
cana-949	405	1	[	[	X
cana-949	405	2	8	8	X
cana-949	405	3	]	]	PUNCT
cana-949	405	4	b.	b.	PROPN
cana-949	405	5	amaliah	amaliah	PROPN
cana-949	405	6	,	,	PUNCT
cana-949	405	7	c.	c.	PROPN
cana-949	405	8	fatichah	fatichah	PROPN
cana-949	405	9	,	,	PUNCT
cana-949	405	10	and	and	CCONJ
cana-949	405	11	e.	e.	PROPN
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cana-949	405	13	,	,	PUNCT
cana-949	405	14	“	"	PUNCT
cana-949	405	15	a	a	DET
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cana-949	405	17	heuristic	heuristic	ADJ
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cana-949	405	19	of	of	ADP
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cana-949	405	23	basic	basic	ADJ
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cana-949	405	30	problem	problem	NOUN
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cana-949	405	32	”	"	PUNCT
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cana-949	405	42	,	,	PUNCT
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cana-949	406	1	34	34	NUM
cana-949	406	2	,	,	PUNCT
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cana-949	406	4	.	.	NOUN
cana-949	406	5	5	5	NUM
cana-949	406	6	,	,	PUNCT
cana-949	406	7	pp	pp	ADJ
cana-949	406	8	.	.	PUNCT
cana-949	407	1	2298–2307	2298–2307	NUM
cana-949	407	2	,	,	PUNCT
cana-949	407	3	may	may	AUX
cana-949	407	4	2022	2022	NUM
cana-949	407	5	,	,	PUNCT
cana-949	407	6	doi	doi	NOUN
cana-949	407	7	:	:	PUNCT
cana-949	407	8	10.1016	10.1016	NUM
cana-949	407	9	/	/	SYM
cana-949	407	10	j.jksuci.2020.07.007	j.jksuci.2020.07.007	PROPN
cana-949	407	11	.	.	PUNCT
cana-949	408	1	[	[	X
cana-949	408	2	9	9	NUM
cana-949	408	3	]	]	X
cana-949	408	4	y.	y.	PROPN
cana-949	408	5	gao	gao	PROPN
cana-949	408	6	and	and	CCONJ
cana-949	408	7	s.	s.	PROPN
cana-949	408	8	kar	kar	PROPN
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cana-949	408	10	“	"	PUNCT
cana-949	408	11	uncertain	uncertain	ADJ
cana-949	408	12	solid	solid	ADJ
cana-949	408	13	transportation	transportation	NOUN
cana-949	408	14	problem	problem	NOUN
cana-949	408	15	with	with	ADP
cana-949	408	16	product	product	NOUN
cana-949	408	17	blending	blending	NOUN
cana-949	408	18	,	,	PUNCT
cana-949	408	19	”	"	PUNCT
cana-949	408	20	international	international	ADJ
cana-949	408	21	journal	journal	NOUN
cana-949	408	22	of	of	ADP
cana-949	408	23	fuzzy	fuzzy	ADJ
cana-949	408	24	systems	system	NOUN
cana-949	408	25	,	,	PUNCT
cana-949	408	26	vol	vol	NOUN
cana-949	408	27	.	.	PROPN
cana-949	408	28	19	19	NUM
cana-949	408	29	,	,	PUNCT
cana-949	408	30	no	no	INTJ
cana-949	408	31	.	.	NOUN
cana-949	408	32	6	6	NUM
cana-949	408	33	,	,	PUNCT
cana-949	408	34	pp	pp	ADJ
cana-949	408	35	.	.	PUNCT
cana-949	408	36	1916–1926	1916–1926	NUM
cana-949	408	37	,	,	PUNCT
cana-949	408	38	dec	dec	PROPN
cana-949	408	39	.	.	PROPN
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cana-949	408	41	,	,	PUNCT
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cana-949	408	43	:	:	PUNCT
cana-949	408	44	10.1007	10.1007	NUM
cana-949	408	45	/	/	SYM
cana-949	408	46	s40815	s40815	NUM
cana-949	408	47	-	-	PUNCT
cana-949	408	48	016	016	NUM
cana-949	408	49	-	-	PUNCT
cana-949	408	50	0282	0282	NUM
cana-949	408	51	-	-	PUNCT
cana-949	408	52	x	x	NOUN
cana-949	408	53	/	/	SYM
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cana-949	408	55	.	.	PUNCT
cana-949	409	1	[	[	X
cana-949	409	2	10	10	NUM
cana-949	409	3	]	]	PUNCT
cana-949	409	4	s.	s.	PROPN
cana-949	409	5	k.	k.	PROPN
cana-949	409	6	roy	roy	PROPN
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cana-949	409	16	problems	problem	NOUN
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cana-949	409	19	-	-	ADJ
cana-949	409	20	choice	choice	ADJ
cana-949	409	21	cost	cost	NOUN
cana-949	409	22	and	and	CCONJ
cana-949	409	23	stochastic	stochastic	ADJ
cana-949	409	24	supply	supply	NOUN
cana-949	409	25	and	and	CCONJ
cana-949	409	26	demand	demand	NOUN
cana-949	409	27	,	,	PUNCT
cana-949	409	28	”	"	PUNCT
cana-949	409	29	https://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/978-1-4666-72727.ch023	https://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/978-1-4666-72727.ch023	NOUN
cana-949	409	30	,	,	PUNCT
cana-949	409	31	pp	pp	ADJ
cana-949	409	32	.	.	PUNCT
cana-949	410	1	397–428	397–428	NUM
cana-949	410	2	,	,	PUNCT
cana-949	410	3	jan	jan	PROPN
cana-949	410	4	.	.	PROPN
cana-949	410	5	1ad	1ad	NOUN
cana-949	410	6	,	,	PUNCT
cana-949	410	7	doi	doi	NOUN
cana-949	410	8	:	:	PUNCT
cana-949	410	9	10.4018/978	10.4018/978	NUM
cana-949	410	10	-	-	SYM
cana-949	410	11	1	1	NUM
cana-949	410	12	-	-	PUNCT
cana-949	410	13	4666	4666	NUM
cana-949	410	14	-	-	PUNCT
cana-949	410	15	7272	7272	NUM
cana-949	410	16	-	-	PUNCT
cana-949	410	17	7.ch023	7.ch023	NOUN
cana-949	410	18	.	.	PUNCT
cana-949	411	1	[	[	X
cana-949	411	2	11	11	NUM
cana-949	411	3	]	]	PUNCT
cana-949	411	4	p.	p.	PROPN
cana-949	411	5	kumar	kumar	PROPN
cana-949	411	6	giri	giri	PROPN
cana-949	411	7	,	,	PUNCT
cana-949	411	8	m.	m.	NOUN
cana-949	411	9	kumar	kumar	PROPN
cana-949	411	10	maiti	maiti	PROPN
cana-949	411	11	,	,	PUNCT
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cana-949	411	14	maiti	maiti	PROPN
cana-949	411	15	,	,	PUNCT
cana-949	411	16	“	"	PUNCT
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cana-949	411	18	maximization	maximization	NOUN
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cana-949	411	20	transportation	transportation	NOUN
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cana-949	411	23	budget	budget	NOUN
cana-949	411	24	constraint	constraint	NOUN
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cana-949	411	29	”	"	PUNCT
cana-949	411	30	iranian	iranian	ADJ
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cana-949	411	33	fuzzy	fuzzy	ADJ
cana-949	411	34	systems	system	NOUN
cana-949	411	35	,	,	PUNCT
cana-949	411	36	vol	vol	NOUN
cana-949	411	37	.	.	PROPN
cana-949	411	38	13	13	NUM
cana-949	411	39	,	,	PUNCT
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cana-949	411	41	.	.	NOUN
cana-949	411	42	5	5	NUM
cana-949	411	43	,	,	PUNCT
cana-949	411	44	pp	pp	ADJ
cana-949	411	45	.	.	PUNCT
cana-949	412	1	35–63	35–63	NUM
cana-949	412	2	,	,	PUNCT
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cana-949	412	4	.	.	PROPN
cana-949	412	5	2016	2016	NUM
cana-949	412	6	,	,	PUNCT
cana-949	412	7	doi	doi	NOUN
cana-949	412	8	:	:	PUNCT
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cana-949	412	10	/	/	SYM
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cana-949	412	12	.	.	PUNCT
cana-949	413	1	[	[	X
cana-949	413	2	12	12	NUM
cana-949	413	3	]	]	PUNCT
cana-949	413	4	b.	b.	PROPN
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cana-949	413	6	,	,	PUNCT
cana-949	413	7	j.	j.	PROPN
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cana-949	413	14	l.	l.	PROPN
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cana-949	413	17	“	"	PUNCT
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cana-949	413	21	transportation	transportation	NOUN
cana-949	413	22	problem	problem	NOUN
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cana-949	413	26	and	and	CCONJ
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cana-949	413	29	,	,	PUNCT
cana-949	413	30	”	"	PUNCT
cana-949	413	31	comput	comput	PROPN
cana-949	413	32	ind	ind	PROPN
cana-949	413	33	eng	eng	PROPN
cana-949	413	34	,	,	PUNCT
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cana-949	413	36	.	.	PROPN
cana-949	413	37	102	102	NUM
cana-949	413	38	,	,	PUNCT
cana-949	413	39	pp	pp	ADJ
cana-949	413	40	.	.	PUNCT
cana-949	414	1	186–197	186–197	NUM
cana-949	414	2	,	,	PUNCT
cana-949	414	3	dec	dec	PROPN
cana-949	414	4	.	.	PROPN
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cana-949	414	7	doi	doi	NOUN
cana-949	414	8	:	:	PUNCT
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cana-949	414	10	/	/	SYM
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cana-949	415	1	[	[	X
cana-949	415	2	13	13	NUM
cana-949	415	3	]	]	X
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cana-949	415	5	vidhya	vidhya	PROPN
cana-949	415	6	,	,	PUNCT
cana-949	415	7	p.	p.	PROPN
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cana-949	415	9	maheswari	maheswari	PROPN
cana-949	415	10	,	,	PUNCT
cana-949	415	11	and	and	CCONJ
cana-949	415	12	k.	k.	PROPN
cana-949	415	13	ganesan	ganesan	PROPN
cana-949	415	14	,	,	PUNCT
cana-949	415	15	“	"	PUNCT
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cana-949	415	22	for	for	ADP
cana-949	415	23	less	less	ADJ
cana-949	415	24	solution	solution	NOUN
cana-949	415	25	to	to	ADP
cana-949	415	26	fuzzy	fuzzy	ADJ
cana-949	415	27	transportation	transportation	NOUN
cana-949	415	28	problem	problem	NOUN
cana-949	415	29	with	with	ADP
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cana-949	415	32	,	,	PUNCT
cana-949	415	33	”	"	PUNCT
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cana-949	415	36	,	,	PUNCT
cana-949	415	37	vol	vol	NOUN
cana-949	415	38	.	.	PROPN
cana-949	415	39	25	25	NUM
cana-949	415	40	,	,	PUNCT
cana-949	415	41	no	no	INTJ
cana-949	415	42	.	.	NOUN
cana-949	415	43	18	18	NUM
cana-949	415	44	,	,	PUNCT
cana-949	415	45	pp	pp	ADJ
cana-949	415	46	.	.	PUNCT
cana-949	416	1	11989–11996	11989–11996	NUM
cana-949	416	2	,	,	PUNCT
cana-949	416	3	sep	sep	PROPN
cana-949	416	4	.	.	PROPN
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cana-949	416	8	:	:	PUNCT
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cana-949	416	10	/	/	SYM
cana-949	416	11	s00500	s00500	PROPN
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cana-949	416	13	021	021	NUM
cana-949	416	14	-	-	PUNCT
cana-949	416	15	05664	05664	NUM
cana-949	416	16	-	-	PUNCT
cana-949	416	17	x	x	NOUN
cana-949	416	18	/	/	SYM
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cana-949	416	20	.	.	PUNCT
cana-949	417	1	[	[	X
cana-949	417	2	14	14	NUM
cana-949	417	3	]	]	PUNCT
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cana-949	417	8	j.	j.	PROPN
cana-949	417	9	mukund	mukund	PROPN
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cana-949	417	11	,	,	PUNCT
cana-949	417	12	i.	i.	PROPN
cana-949	417	13	nielsen	nielsen	PROPN
cana-949	417	14	,	,	PUNCT
cana-949	417	15	n.	n.	PROPN
cana-949	417	16	jawahar	jawahar	PROPN
cana-949	417	17	,	,	PUNCT
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cana-949	417	19	s.	s.	PROPN
cana-949	417	20	g.	g.	PROPN
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cana-949	417	23	“	"	PUNCT
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cana-949	417	27	transportation	transportation	NOUN
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cana-949	417	31	load	load	NOUN
cana-949	417	32	constraint	constraint	NOUN
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cana-949	417	35	,	,	PUNCT
cana-949	417	36	”	"	PUNCT
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cana-949	417	43	273	273	NUM
cana-949	417	44	,	,	PUNCT
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cana-949	417	46	.	.	PUNCT
cana-949	418	1	1–2	1–2	NUM
cana-949	418	2	,	,	PUNCT
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cana-949	419	1	207	207	NUM
cana-949	419	2	–	–	PUNCT
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cana-949	419	4	,	,	PUNCT
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cana-949	419	8	,	,	PUNCT
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cana-949	419	10	:	:	PUNCT
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cana-949	419	12	/	/	SYM
cana-949	419	13	s10479	s10479	PROPN
cana-949	419	14	-	-	PUNCT
cana-949	419	15	017	017	NUM
cana-949	419	16	-	-	PUNCT
cana-949	419	17	2692	2692	NUM
cana-949	419	18	-	-	PUNCT
cana-949	419	19	z	z	NOUN
cana-949	419	20	/	/	SYM
cana-949	419	21	tables/26	tables/26	NOUN
cana-949	419	22	.	.	PUNCT
cana-949	420	1	[	[	X
cana-949	420	2	15	15	NUM
cana-949	420	3	]	]	X
cana-949	420	4	l.	l.	PROPN
cana-949	420	5	meng	meng	PROPN
cana-949	420	6	,	,	PUNCT
cana-949	420	7	c.	c.	PROPN
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cana-949	420	9	,	,	PUNCT
cana-949	420	10	y.	y.	PROPN
cana-949	420	11	ren	ren	PROPN
cana-949	420	12	,	,	PUNCT
cana-949	420	13	b.	b.	PROPN
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cana-949	420	15	,	,	PUNCT
cana-949	420	16	and	and	CCONJ
cana-949	420	17	c.	c.	PROPN
cana-949	420	18	lv	lv	PROPN
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cana-949	420	20	“	"	PUNCT
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cana-949	420	22	-	-	PUNCT
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cana-949	420	24	linear	linear	NOUN
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cana-949	420	26	and	and	CCONJ
cana-949	420	27	constraint	constraint	NOUN
cana-949	420	28	programming	programming	NOUN
cana-949	420	29	formulations	formulation	NOUN
cana-949	420	30	for	for	ADP
cana-949	420	31	solving	solve	VERB
cana-949	420	32	distributed	distribute	VERB
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cana-949	420	34	job	job	NOUN
cana-949	420	35	shop	shop	NOUN
cana-949	420	36	scheduling	scheduling	NOUN
cana-949	420	37	problem	problem	NOUN
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cana-949	420	39	”	"	PUNCT
cana-949	420	40	comput	comput	PROPN
cana-949	420	41	ind	ind	PROPN
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cana-949	420	43	,	,	PUNCT
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cana-949	420	45	.	.	PROPN
cana-949	420	46	142	142	NUM
cana-949	420	47	,	,	PUNCT
cana-949	420	48	p.	p.	NOUN
cana-949	420	49	106347	106347	NUM
cana-949	420	50	,	,	PUNCT
cana-949	420	51	apr	apr	PROPN
cana-949	420	52	.	.	PROPN
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cana-949	420	54	,	,	PUNCT
cana-949	420	55	doi	doi	NOUN
cana-949	420	56	:	:	PUNCT
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cana-949	420	58	/	/	SYM
cana-949	420	59	j.cie.2020.106347	j.cie.2020.106347	PROPN
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cana-949	421	1	[	[	X
cana-949	421	2	16	16	NUM
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cana-949	421	8	titus	titus	PROPN
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cana-949	421	10	and	and	CCONJ
cana-949	421	11	m.	m.	NOUN
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cana-949	421	13	,	,	PUNCT
cana-949	421	14	“	"	PUNCT
cana-949	421	15	an	an	DET
cana-949	421	16	algorithmic	algorithmic	ADJ
cana-949	421	17	approach	approach	NOUN
cana-949	421	18	to	to	PART
cana-949	421	19	solve	solve	VERB
cana-949	421	20	unbalanced	unbalanced	ADJ
cana-949	421	21	triangular	triangular	NOUN
cana-949	421	22	fuzzy	fuzzy	ADJ
cana-949	421	23	transportation	transportation	NOUN
cana-949	421	24	problems	problem	NOUN
cana-949	421	25	,	,	PUNCT
cana-949	421	26	”	"	PUNCT
cana-949	421	27	soft	soft	ADJ
cana-949	421	28	comput	comput	NOUN
cana-949	421	29	,	,	PUNCT
cana-949	421	30	vol	vol	NOUN
cana-949	421	31	.	.	PROPN
cana-949	422	1	24	24	NUM
cana-949	422	2	,	,	PUNCT
cana-949	422	3	no	no	INTJ
cana-949	422	4	.	.	NOUN
cana-949	422	5	24	24	NUM
cana-949	422	6	,	,	PUNCT
cana-949	422	7	pp	pp	ADJ
cana-949	422	8	.	.	PUNCT
cana-949	423	1	18689–18698	18689–18698	NUM
cana-949	423	2	,	,	PUNCT
cana-949	423	3	dec	dec	PROPN
cana-949	423	4	.	.	PROPN
cana-949	423	5	2020	2020	NUM
cana-949	423	6	,	,	PUNCT
cana-949	423	7	doi	doi	NOUN
cana-949	423	8	:	:	PUNCT
cana-949	423	9	10.1007	10.1007	NUM
cana-949	423	10	/	/	SYM
cana-949	423	11	s00500020	s00500020	NOUN
cana-949	423	12	-	-	PUNCT
cana-949	423	13	05103	05103	NUM
cana-949	423	14	-	-	PUNCT
cana-949	423	15	3	3	NUM
cana-949	423	16	/	/	SYM
cana-949	423	17	metrics	metric	NOUN
cana-949	423	18	.	.	PUNCT
cana-949	424	1	[	[	X
cana-949	424	2	17	17	NUM
cana-949	424	3	]	]	PUNCT
cana-949	424	4	m.	m.	NOUN
cana-949	424	5	sam’an	sam’an	PROPN
cana-949	424	6	and	and	CCONJ
cana-949	424	7	farikhin	farikhin	PROPN
cana-949	424	8	,	,	PUNCT
cana-949	424	9	“	"	PUNCT
cana-949	424	10	a	a	DET
cana-949	424	11	new	new	ADJ
cana-949	424	12	fuzzy	fuzzy	ADJ
cana-949	424	13	transportation	transportation	NOUN
cana-949	424	14	algorithm	algorithm	NOUN
cana-949	424	15	for	for	ADP
cana-949	424	16	finding	find	VERB
cana-949	424	17	fuzzy	fuzzy	ADJ
cana-949	424	18	optimal	optimal	ADJ
cana-949	424	19	solution	solution	NOUN
cana-949	424	20	,	,	PUNCT
cana-949	424	21	”	"	PUNCT
cana-949	424	22	international	international	ADJ
cana-949	424	23	journal	journal	NOUN
cana-949	424	24	of	of	ADP
cana-949	424	25	mathematical	mathematical	ADJ
cana-949	424	26	modelling	modelling	NOUN
cana-949	424	27	and	and	CCONJ
cana-949	424	28	numerical	numerical	ADJ
cana-949	424	29	optimisation	optimisation	NOUN
cana-949	424	30	,	,	PUNCT
cana-949	424	31	vol	vol	NOUN
cana-949	424	32	.	.	PROPN
cana-949	424	33	11	11	NUM
cana-949	424	34	,	,	PUNCT
cana-949	424	35	no	no	INTJ
cana-949	424	36	.	.	NOUN
cana-949	424	37	1	1	NUM
cana-949	424	38	,	,	PUNCT
cana-949	424	39	pp	pp	ADJ
cana-949	424	40	.	.	PUNCT
cana-949	425	1	20–36	20–36	NUM
cana-949	425	2	,	,	PUNCT
cana-949	425	3	2021	2021	NUM
cana-949	425	4	,	,	PUNCT
cana-949	425	5	doi	doi	NOUN
cana-949	425	6	:	:	PUNCT
cana-949	425	7	10.1504	10.1504	NUM
cana-949	425	8	/	/	SYM
cana-949	425	9	ijmmno.2021.111715	ijmmno.2021.111715	NOUN
cana-949	425	10	.	.	PUNCT
cana-949	426	1	[	[	X
cana-949	426	2	18	18	NUM
cana-949	426	3	]	]	PUNCT
cana-949	426	4	a.	a.	NOUN
cana-949	426	5	das	das	PROPN
cana-949	426	6	and	and	CCONJ
cana-949	426	7	g.	g.	PROPN
cana-949	426	8	m.	m.	PROPN
cana-949	426	9	lee	lee	PROPN
cana-949	426	10	,	,	PUNCT
cana-949	426	11	“	"	PUNCT
cana-949	426	12	a	a	DET
cana-949	426	13	multi	multi	ADJ
cana-949	426	14	-	-	ADJ
cana-949	426	15	objective	objective	ADJ
cana-949	426	16	stochastic	stochastic	ADJ
cana-949	426	17	solid	solid	ADJ
cana-949	426	18	transportation	transportation	NOUN
cana-949	426	19	problem	problem	NOUN
cana-949	426	20	with	with	ADP
cana-949	426	21	the	the	DET
cana-949	426	22	supply	supply	NOUN
cana-949	426	23	,	,	PUNCT
cana-949	426	24	demand	demand	NOUN
cana-949	426	25	,	,	PUNCT
cana-949	426	26	and	and	CCONJ
cana-949	426	27	conveyance	conveyance	NOUN
cana-949	426	28	capacity	capacity	NOUN
cana-949	426	29	following	follow	VERB
cana-949	426	30	the	the	DET
cana-949	426	31	weibull	weibull	PROPN
cana-949	426	32	distribution	distribution	NOUN
cana-949	426	33	,	,	PUNCT
cana-949	426	34	”	"	PUNCT
cana-949	426	35	mathematics	mathematic	NOUN
cana-949	426	36	2021	2021	NUM
cana-949	426	37	,	,	PUNCT
cana-949	426	38	vol	vol	NOUN
cana-949	426	39	.	.	NOUN
cana-949	426	40	9	9	NUM
cana-949	426	41	,	,	PUNCT
cana-949	426	42	page	page	NOUN
cana-949	426	43	1757	1757	NUM
cana-949	426	44	,	,	PUNCT
cana-949	426	45	vol	vol	NOUN
cana-949	426	46	.	.	NOUN
cana-949	426	47	9	9	NUM
cana-949	426	48	,	,	PUNCT
cana-949	426	49	no	no	INTJ
cana-949	426	50	.	.	NOUN
cana-949	426	51	15	15	NUM
cana-949	426	52	,	,	PUNCT
cana-949	426	53	p.	p.	NOUN
cana-949	426	54	1757	1757	NUM
cana-949	426	55	,	,	PUNCT
cana-949	426	56	jul	jul	PROPN
cana-949	426	57	.	.	PROPN
cana-949	426	58	2021	2021	NUM
cana-949	426	59	,	,	PUNCT
cana-949	426	60	doi	doi	NOUN
cana-949	426	61	:	:	PUNCT
cana-949	426	62	10.3390	10.3390	NUM
cana-949	426	63	/	/	SYM
cana-949	426	64	math9151757	math9151757	NOUN
cana-949	426	65	.	.	PUNCT
cana-949	427	1	[	[	X
cana-949	427	2	19	19	NUM
cana-949	427	3	]	]	X
cana-949	427	4	n.	n.	NOUN
cana-949	427	5	qiuping	qiuping	PROPN
cana-949	427	6	,	,	PUNCT
cana-949	427	7	t.	t.	PROPN
cana-949	427	8	yuanxiang	yuanxiang	PROPN
cana-949	427	9	,	,	PUNCT
cana-949	427	10	s.	s.	PROPN
cana-949	427	11	broumi	broumi	PROPN
cana-949	427	12	,	,	PUNCT
cana-949	427	13	and	and	CCONJ
cana-949	427	14	v.	v.	ADP
cana-949	427	15	uluçay	uluçay	ADJ
cana-949	427	16	,	,	PUNCT
cana-949	427	17	“	"	PUNCT
cana-949	427	18	a	a	DET
cana-949	427	19	parametric	parametric	ADJ
cana-949	427	20	neutrosophic	neutrosophic	ADJ
cana-949	427	21	model	model	NOUN
cana-949	427	22	for	for	ADP
cana-949	427	23	the	the	DET
cana-949	427	24	solid	solid	ADJ
cana-949	427	25	transportation	transportation	NOUN
cana-949	427	26	problem	problem	NOUN
cana-949	427	27	,	,	PUNCT
cana-949	427	28	”	"	PUNCT
cana-949	427	29	management	management	NOUN
cana-949	427	30	decision	decision	NOUN
cana-949	427	31	,	,	PUNCT
cana-949	427	32	vol	vol	NOUN
cana-949	427	33	.	.	PROPN
cana-949	427	34	61	61	NUM
cana-949	427	35	,	,	PUNCT
cana-949	427	36	no	no	INTJ
cana-949	427	37	.	.	NOUN
cana-949	427	38	2	2	NUM
cana-949	427	39	,	,	PUNCT
cana-949	427	40	pp	pp	ADJ
cana-949	427	41	.	.	PUNCT
cana-949	428	1	421–442	421–442	NUM
cana-949	428	2	,	,	PUNCT
cana-949	428	3	mar	mar	PROPN
cana-949	428	4	.	.	PROPN
cana-949	428	5	2023	2023	NUM
cana-949	428	6	,	,	PUNCT
cana-949	428	7	doi	doi	NOUN
cana-949	428	8	:	:	PUNCT
cana-949	428	9	10.1108	10.1108	NUM
cana-949	428	10	/	/	SYM
cana-949	428	11	md-052022	md-052022	NOUN
cana-949	428	12	-	-	NOUN
cana-949	428	13	0660	0660	NUM
cana-949	428	14	.	.	PUNCT
cana-949	429	1	[	[	X
cana-949	429	2	20	20	NUM
cana-949	429	3	]	]	X
cana-949	429	4	g.	g.	PROPN
cana-949	429	5	gupta	gupta	PROPN
cana-949	429	6	,	,	PUNCT
cana-949	429	7	d.	d.	PROPN
cana-949	429	8	rani	rani	PROPN
cana-949	429	9	,	,	PUNCT
cana-949	429	10	and	and	CCONJ
cana-949	429	11	m.	m.	PROPN
cana-949	429	12	k.	k.	PROPN
cana-949	429	13	kakkar	kakkar	PROPN
cana-949	429	14	,	,	PUNCT
cana-949	429	15	“	"	PUNCT
cana-949	429	16	optimal	optimal	ADJ
cana-949	429	17	solution	solution	NOUN
cana-949	429	18	of	of	ADP
cana-949	429	19	fully	fully	ADV
cana-949	429	20	intuitionistic	intuitionistic	ADJ
cana-949	429	21	fuzzy	fuzzy	ADJ
cana-949	429	22	transportation	transportation	NOUN
cana-949	429	23	problems	problem	NOUN
cana-949	429	24	a	a	DET
cana-949	429	25	modified	modify	VERB
cana-949	429	26	approach	approach	NOUN
cana-949	429	27	,	,	PUNCT
cana-949	429	28	”	"	PUNCT
cana-949	429	29	manufacturing	manufacturing	NOUN
cana-949	429	30	technologies	technology	NOUN
cana-949	429	31	and	and	CCONJ
cana-949	429	32	production	production	NOUN
cana-949	429	33	systems	system	NOUN
cana-949	429	34	:	:	PUNCT
cana-949	429	35	principles	principle	NOUN
cana-949	429	36	and	and	CCONJ
cana-949	429	37	practices	practice	NOUN
cana-949	429	38	,	,	PUNCT
cana-949	429	39	pp	pp	ADJ
cana-949	429	40	.	.	PUNCT
cana-949	429	41	302	302	NUM
cana-949	429	42	–	–	PUNCT
cana-949	429	43	316	316	NUM
cana-949	429	44	,	,	PUNCT
cana-949	429	45	jan	jan	PROPN
cana-949	429	46	.	.	PROPN
cana-949	429	47	2023	2023	NUM
cana-949	429	48	,	,	PUNCT
cana-949	429	49	doi	doi	NOUN
cana-949	429	50	:	:	PUNCT
cana-949	429	51	10.1201/9781003367161	10.1201/9781003367161	NUM
cana-949	429	52	-	-	SYM
cana-949	429	53	28	28	NUM
cana-949	429	54	/	/	SYM
cana-949	429	55	optimal	optimal	ADJ
cana-949	429	56	-	-	PUNCT
cana-949	429	57	solution	solution	NOUN
cana-949	429	58	-	-	PUNCT
cana-949	429	59	fully	fully	ADV
cana-949	429	60	-	-	PUNCT
cana-949	429	61	intuitionistic	intuitionistic	ADJ
cana-949	429	62	-	-	PUNCT
cana-949	429	63	fuzzytransportation	fuzzytransportation	NOUN
cana-949	429	64	-	-	PUNCT
cana-949	429	65	problems	problem	NOUN
cana-949	429	66	-	-	PUNCT
cana-949	429	67	gourav	gourav	NOUN
cana-949	429	68	-	-	PUNCT
cana-949	429	69	gupta	gupta	PROPN
cana-949	429	70	-	-	PUNCT
cana-949	429	71	deepika	deepika	NOUN
cana-949	429	72	-	-	PUNCT
cana-949	429	73	rani	rani	PROPN
cana-949	429	74	-	-	PUNCT
cana-949	429	75	mohit	mohit	NOUN
cana-949	429	76	-	-	PUNCT
cana-949	429	77	kumar	kumar	PROPN
cana-949	429	78	-	-	PUNCT
cana-949	429	79	kakkar	kakkar	PROPN
cana-949	429	80	.	.	PUNCT