id	sid	tid	token	lemma	pos
fbem-21461	1	1	frontiers	frontier	NOUN
fbem-21461	1	2	in	in	ADP
fbem-21461	1	3	business	business	NOUN
fbem-21461	1	4	,	,	PUNCT
fbem-21461	1	5	economics	economic	NOUN
fbem-21461	1	6	and	and	CCONJ
fbem-21461	1	7	management	management	NOUN
fbem-21461	1	8	issn	issn	PROPN
fbem-21461	1	9	:	:	PUNCT
fbem-21461	1	10	2766	2766	NUM
fbem-21461	1	11	-	-	PUNCT
fbem-21461	1	12	824x	824x	NUM
fbem-21461	1	13	|	|	ADJ
fbem-21461	1	14	vol	vol	NOUN
fbem-21461	1	15	.	.	PROPN
fbem-21461	1	16	15	15	NUM
fbem-21461	1	17	,	,	PUNCT
fbem-21461	1	18	no	no	INTJ
fbem-21461	1	19	.	.	NOUN
fbem-21461	1	20	1	1	NUM
fbem-21461	1	21	,	,	PUNCT
fbem-21461	1	22	2024	2024	NUM
fbem-21461	1	23	334	334	NUM
fbem-21461	1	24	optimal	optimal	ADJ
fbem-21461	1	25	carrier	carrier	NOUN
fbem-21461	1	26	selection	selection	NOUN
fbem-21461	1	27	based	base	VERB
fbem-21461	1	28	on	on	ADP
fbem-21461	1	29	reliability	reliability	NOUN
fbem-21461	1	30	under	under	ADP
fbem-21461	1	31	delivery	delivery	NOUN
fbem-21461	1	32	spoilage	spoilage	NOUN
fbem-21461	1	33	and	and	CCONJ
fbem-21461	1	34	cost	cost	NOUN
fbem-21461	1	35	constraint	constraint	NOUN
fbem-21461	1	36	mengmeng	mengmeng	PROPN
fbem-21461	1	37	yuan	yuan	PROPN
fbem-21461	1	38	school	school	NOUN
fbem-21461	1	39	of	of	ADP
fbem-21461	1	40	modern	modern	ADJ
fbem-21461	1	41	posts	post	NOUN
fbem-21461	1	42	,	,	PUNCT
fbem-21461	1	43	chongqing	chongqing	PROPN
fbem-21461	1	44	university	university	PROPN
fbem-21461	1	45	of	of	ADP
fbem-21461	1	46	posts	post	NOUN
fbem-21461	1	47	and	and	CCONJ
fbem-21461	1	48	telecommunications	telecommunication	NOUN
fbem-21461	1	49	,	,	PUNCT
fbem-21461	1	50	chongqing	chongqe	VERB
fbem-21461	1	51	400065	400065	NUM
fbem-21461	1	52	,	,	PUNCT
fbem-21461	1	53	china	china	PROPN
fbem-21461	1	54	abstract	abstract	PROPN
fbem-21461	1	55	:	:	PUNCT
fbem-21461	1	56	in	in	ADP
fbem-21461	1	57	a	a	DET
fbem-21461	1	58	highly	highly	ADV
fbem-21461	1	59	competitive	competitive	ADJ
fbem-21461	1	60	market	market	NOUN
fbem-21461	1	61	environment	environment	NOUN
fbem-21461	1	62	,	,	PUNCT
fbem-21461	1	63	outsourcing	outsourcing	NOUN
fbem-21461	1	64	of	of	ADP
fbem-21461	1	65	logistics	logistic	NOUN
fbem-21461	1	66	service	service	NOUN
fbem-21461	1	67	is	be	AUX
fbem-21461	1	68	one	one	NUM
fbem-21461	1	69	of	of	ADP
fbem-21461	1	70	the	the	DET
fbem-21461	1	71	most	most	ADV
fbem-21461	1	72	significant	significant	ADJ
fbem-21461	1	73	strategies	strategy	NOUN
fbem-21461	1	74	for	for	SCONJ
fbem-21461	1	75	enterprises	enterprise	NOUN
fbem-21461	1	76	to	to	PART
fbem-21461	1	77	enhance	enhance	VERB
fbem-21461	1	78	competitiveness	competitiveness	NOUN
fbem-21461	1	79	.	.	PUNCT
fbem-21461	2	1	however	however	ADV
fbem-21461	2	2	,	,	PUNCT
fbem-21461	2	3	how	how	SCONJ
fbem-21461	2	4	to	to	PART
fbem-21461	2	5	construct	construct	VERB
fbem-21461	2	6	an	an	DET
fbem-21461	2	7	efficient	efficient	ADJ
fbem-21461	2	8	and	and	CCONJ
fbem-21461	2	9	reliable	reliable	ADJ
fbem-21461	2	10	logistics	logistic	NOUN
fbem-21461	2	11	network	network	NOUN
fbem-21461	2	12	by	by	ADP
fbem-21461	2	13	selecting	select	VERB
fbem-21461	2	14	suitable	suitable	ADJ
fbem-21461	2	15	logistics	logistic	NOUN
fbem-21461	2	16	carriers	carrier	NOUN
fbem-21461	2	17	is	be	AUX
fbem-21461	2	18	a	a	DET
fbem-21461	2	19	complex	complex	ADJ
fbem-21461	2	20	but	but	CCONJ
fbem-21461	2	21	important	important	ADJ
fbem-21461	2	22	practical	practical	ADJ
fbem-21461	2	23	issue	issue	NOUN
fbem-21461	2	24	.	.	PUNCT
fbem-21461	3	1	in	in	ADP
fbem-21461	3	2	general	general	ADJ
fbem-21461	3	3	,	,	PUNCT
fbem-21461	3	4	there	there	PRON
fbem-21461	3	5	are	be	VERB
fbem-21461	3	6	multiple	multiple	ADJ
fbem-21461	3	7	carriers	carrier	NOUN
fbem-21461	3	8	to	to	PART
fbem-21461	3	9	provide	provide	VERB
fbem-21461	3	10	freight	freight	NOUN
fbem-21461	3	11	service	service	NOUN
fbem-21461	3	12	along	along	ADP
fbem-21461	3	13	each	each	DET
fbem-21461	3	14	route	route	NOUN
fbem-21461	3	15	of	of	ADP
fbem-21461	3	16	a	a	DET
fbem-21461	3	17	logistics	logistic	NOUN
fbem-21461	3	18	network	network	NOUN
fbem-21461	3	19	.	.	PUNCT
fbem-21461	4	1	moreover	moreover	ADV
fbem-21461	4	2	,	,	PUNCT
fbem-21461	4	3	the	the	DET
fbem-21461	4	4	transportation	transportation	NOUN
fbem-21461	4	5	capacity	capacity	NOUN
fbem-21461	4	6	of	of	ADP
fbem-21461	4	7	each	each	DET
fbem-21461	4	8	carrier	carrier	NOUN
fbem-21461	4	9	has	have	VERB
fbem-21461	4	10	multiple	multiple	ADJ
fbem-21461	4	11	states	state	NOUN
fbem-21461	4	12	due	due	ADJ
fbem-21461	4	13	to	to	ADP
fbem-21461	4	14	various	various	ADJ
fbem-21461	4	15	factors	factor	NOUN
fbem-21461	4	16	,	,	PUNCT
fbem-21461	4	17	which	which	PRON
fbem-21461	4	18	can	can	AUX
fbem-21461	4	19	be	be	AUX
fbem-21461	4	20	portrayed	portray	VERB
fbem-21461	4	21	by	by	ADP
fbem-21461	4	22	a	a	DET
fbem-21461	4	23	capacity	capacity	NOUN
fbem-21461	4	24	probability	probability	NOUN
fbem-21461	4	25	distribution	distribution	NOUN
fbem-21461	4	26	.	.	PUNCT
fbem-21461	5	1	in	in	ADP
fbem-21461	5	2	addition	addition	NOUN
fbem-21461	5	3	,	,	PUNCT
fbem-21461	5	4	delivery	delivery	NOUN
fbem-21461	5	5	spoilage	spoilage	NOUN
fbem-21461	5	6	and	and	CCONJ
fbem-21461	5	7	cost	cost	NOUN
fbem-21461	5	8	constraint	constraint	NOUN
fbem-21461	5	9	are	be	AUX
fbem-21461	5	10	the	the	DET
fbem-21461	5	11	key	key	ADJ
fbem-21461	5	12	indicators	indicator	NOUN
fbem-21461	5	13	affecting	affect	VERB
fbem-21461	5	14	carrier	carrier	NOUN
fbem-21461	5	15	selection	selection	NOUN
fbem-21461	5	16	.	.	PUNCT
fbem-21461	6	1	therefore	therefore	ADV
fbem-21461	6	2	,	,	PUNCT
fbem-21461	6	3	this	this	DET
fbem-21461	6	4	paper	paper	NOUN
fbem-21461	6	5	studies	study	VERB
fbem-21461	6	6	the	the	DET
fbem-21461	6	7	logistics	logistic	NOUN
fbem-21461	6	8	carrier	carrier	NOUN
fbem-21461	6	9	selection	selection	NOUN
fbem-21461	6	10	problem	problem	NOUN
fbem-21461	6	11	from	from	ADP
fbem-21461	6	12	the	the	DET
fbem-21461	6	13	perspective	perspective	NOUN
fbem-21461	6	14	of	of	ADP
fbem-21461	6	15	multi	multi	ADJ
fbem-21461	6	16	-	-	ADJ
fbem-21461	6	17	state	state	ADJ
fbem-21461	6	18	network	network	NOUN
fbem-21461	6	19	reliability	reliability	NOUN
fbem-21461	6	20	under	under	ADP
fbem-21461	6	21	delivery	delivery	NOUN
fbem-21461	6	22	spoilage	spoilage	NOUN
fbem-21461	6	23	and	and	CCONJ
fbem-21461	6	24	cost	cost	NOUN
fbem-21461	6	25	constraint	constraint	NOUN
fbem-21461	6	26	,	,	PUNCT
fbem-21461	6	27	and	and	CCONJ
fbem-21461	6	28	apply	apply	VERB
fbem-21461	6	29	the	the	DET
fbem-21461	6	30	minimal	minimal	ADJ
fbem-21461	6	31	path	path	NOUN
fbem-21461	6	32	(	(	PUNCT
fbem-21461	6	33	mp	mp	NOUN
fbem-21461	6	34	)	)	PUNCT
fbem-21461	6	35	method	method	NOUN
fbem-21461	6	36	to	to	PART
fbem-21461	6	37	solve	solve	VERB
fbem-21461	6	38	the	the	DET
fbem-21461	6	39	problem	problem	NOUN
fbem-21461	6	40	.	.	PUNCT
fbem-21461	7	1	the	the	DET
fbem-21461	7	2	practicality	practicality	NOUN
fbem-21461	7	3	of	of	ADP
fbem-21461	7	4	the	the	DET
fbem-21461	7	5	algorithm	algorithm	NOUN
fbem-21461	7	6	is	be	AUX
fbem-21461	7	7	verified	verify	VERB
fbem-21461	7	8	by	by	ADP
fbem-21461	7	9	example	example	NOUN
fbem-21461	7	10	analysis	analysis	NOUN
fbem-21461	7	11	.	.	PUNCT
fbem-21461	8	1	keywords	keyword	NOUN
fbem-21461	8	2	:	:	PUNCT
fbem-21461	8	3	logistics	logistic	NOUN
fbem-21461	8	4	network	network	NOUN
fbem-21461	8	5	,	,	PUNCT
fbem-21461	8	6	reliability	reliability	NOUN
fbem-21461	8	7	,	,	PUNCT
fbem-21461	8	8	carrier	carrier	NOUN
fbem-21461	8	9	selection	selection	NOUN
fbem-21461	8	10	,	,	PUNCT
fbem-21461	8	11	delivery	delivery	NOUN
fbem-21461	8	12	spoilage	spoilage	NOUN
fbem-21461	8	13	,	,	PUNCT
fbem-21461	8	14	delivery	delivery	NOUN
fbem-21461	8	15	cost	cost	NOUN
fbem-21461	8	16	.	.	PUNCT
fbem-21461	9	1	1	1	X
fbem-21461	9	2	.	.	X
fbem-21461	9	3	introduction	introduction	NOUN
fbem-21461	9	4	with	with	ADP
fbem-21461	9	5	the	the	DET
fbem-21461	9	6	development	development	NOUN
fbem-21461	9	7	of	of	ADP
fbem-21461	9	8	globalization	globalization	NOUN
fbem-21461	9	9	and	and	CCONJ
fbem-21461	9	10	the	the	DET
fbem-21461	9	11	intensification	intensification	NOUN
fbem-21461	9	12	of	of	ADP
fbem-21461	9	13	market	market	NOUN
fbem-21461	9	14	competition	competition	NOUN
fbem-21461	9	15	,	,	PUNCT
fbem-21461	9	16	many	many	ADJ
fbem-21461	9	17	enterprises	enterprise	NOUN
fbem-21461	9	18	tend	tend	VERB
fbem-21461	9	19	to	to	PART
fbem-21461	9	20	outsource	outsource	VERB
fbem-21461	9	21	logistics	logistic	NOUN
fbem-21461	9	22	services	service	NOUN
fbem-21461	9	23	to	to	ADP
fbem-21461	9	24	carriers	carrier	NOUN
fbem-21461	9	25	.	.	PUNCT
fbem-21461	10	1	the	the	DET
fbem-21461	10	2	carrier	carrier	NOUN
fbem-21461	10	3	selection	selection	NOUN
fbem-21461	10	4	has	have	VERB
fbem-21461	10	5	a	a	DET
fbem-21461	10	6	direct	direct	ADJ
fbem-21461	10	7	impact	impact	NOUN
fbem-21461	10	8	on	on	ADP
fbem-21461	10	9	the	the	DET
fbem-21461	10	10	enterprise	enterprise	NOUN
fbem-21461	10	11	's	's	PART
fbem-21461	10	12	profit	profit	NOUN
fbem-21461	10	13	and	and	CCONJ
fbem-21461	10	14	service	service	NOUN
fbem-21461	10	15	level	level	NOUN
fbem-21461	10	16	.	.	PUNCT
fbem-21461	11	1	as	as	ADP
fbem-21461	11	2	a	a	DET
fbem-21461	11	3	result	result	NOUN
fbem-21461	11	4	,	,	PUNCT
fbem-21461	11	5	enterprises	enterprise	NOUN
fbem-21461	11	6	with	with	ADP
fbem-21461	11	7	logistics	logistic	NOUN
fbem-21461	11	8	outsourcing	outsourcing	NOUN
fbem-21461	11	9	demand	demand	NOUN
fbem-21461	11	10	face	face	VERB
fbem-21461	11	11	the	the	DET
fbem-21461	11	12	problem	problem	NOUN
fbem-21461	11	13	of	of	ADP
fbem-21461	11	14	how	how	SCONJ
fbem-21461	11	15	to	to	PART
fbem-21461	11	16	determine	determine	VERB
fbem-21461	11	17	the	the	DET
fbem-21461	11	18	optimal	optimal	ADJ
fbem-21461	11	19	carrier	carrier	NOUN
fbem-21461	11	20	selection	selection	NOUN
fbem-21461	11	21	.	.	PUNCT
fbem-21461	12	1	speaking	speak	VERB
fbem-21461	12	2	generally	generally	ADV
fbem-21461	12	3	,	,	PUNCT
fbem-21461	12	4	the	the	DET
fbem-21461	12	5	decision	decision	NOUN
fbem-21461	12	6	criteria	criterion	NOUN
fbem-21461	12	7	of	of	ADP
fbem-21461	12	8	carriers	carrier	NOUN
fbem-21461	12	9	can	can	AUX
fbem-21461	12	10	be	be	AUX
fbem-21461	12	11	categorized	categorize	VERB
fbem-21461	12	12	into	into	ADP
fbem-21461	12	13	two	two	NUM
fbem-21461	12	14	types	type	NOUN
fbem-21461	12	15	:	:	PUNCT
fbem-21461	12	16	cost	cost	NOUN
fbem-21461	12	17	and	and	CCONJ
fbem-21461	12	18	service[1	service[1	PROPN
fbem-21461	12	19	]	]	PUNCT
fbem-21461	12	20	.	.	PUNCT
fbem-21461	13	1	mohammaditabar	mohammaditabar	PROPN
fbem-21461	13	2	and	and	CCONJ
fbem-21461	13	3	teimoury[2	teimoury[2	PROPN
fbem-21461	13	4	]	]	PUNCT
fbem-21461	13	5	constructed	construct	VERB
fbem-21461	13	6	an	an	DET
fbem-21461	13	7	optimal	optimal	ADJ
fbem-21461	13	8	carrier	carrier	NOUN
fbem-21461	13	9	selection	selection	NOUN
fbem-21461	13	10	model	model	NOUN
fbem-21461	13	11	that	that	PRON
fbem-21461	13	12	simultaneously	simultaneously	ADV
fbem-21461	13	13	achieves	achieve	VERB
fbem-21461	13	14	the	the	DET
fbem-21461	13	15	objectives	objective	NOUN
fbem-21461	13	16	of	of	ADP
fbem-21461	13	17	maximizing	maximize	VERB
fbem-21461	13	18	total	total	ADJ
fbem-21461	13	19	profit	profit	NOUN
fbem-21461	13	20	and	and	CCONJ
fbem-21461	13	21	minimizing	minimize	VERB
fbem-21461	13	22	inventory	inventory	NOUN
fbem-21461	13	23	and	and	CCONJ
fbem-21461	13	24	delivery	delivery	NOUN
fbem-21461	13	25	cost	cost	NOUN
fbem-21461	13	26	.	.	PUNCT
fbem-21461	14	1	in	in	ADP
fbem-21461	14	2	order	order	NOUN
fbem-21461	14	3	to	to	PART
fbem-21461	14	4	address	address	VERB
fbem-21461	14	5	the	the	DET
fbem-21461	14	6	overall	overall	ADJ
fbem-21461	14	7	decision	decision	NOUN
fbem-21461	14	8	problem	problem	NOUN
fbem-21461	14	9	of	of	ADP
fbem-21461	14	10	carrier	carrier	NOUN
fbem-21461	14	11	selection	selection	NOUN
fbem-21461	14	12	and	and	CCONJ
fbem-21461	14	13	supplier	supplier	NOUN
fbem-21461	14	14	selection	selection	NOUN
fbem-21461	14	15	,	,	PUNCT
fbem-21461	14	16	meixell	meixell	ADJ
fbem-21461	14	17	and	and	CCONJ
fbem-21461	14	18	norbis[3	norbis[3	PROPN
fbem-21461	14	19	]	]	PUNCT
fbem-21461	14	20	developed	develop	VERB
fbem-21461	14	21	a	a	DET
fbem-21461	14	22	multi	multi	ADJ
fbem-21461	14	23	-	-	ADJ
fbem-21461	14	24	objective	objective	ADJ
fbem-21461	14	25	optimization	optimization	NOUN
fbem-21461	14	26	model	model	NOUN
fbem-21461	14	27	aiming	aim	VERB
fbem-21461	14	28	to	to	PART
fbem-21461	14	29	minimize	minimize	VERB
fbem-21461	14	30	cost	cost	NOUN
fbem-21461	14	31	,	,	PUNCT
fbem-21461	14	32	transportation	transportation	NOUN
fbem-21461	14	33	time	time	NOUN
fbem-21461	14	34	,	,	PUNCT
fbem-21461	14	35	and	and	CCONJ
fbem-21461	14	36	security	security	NOUN
fbem-21461	14	37	risks	risk	NOUN
fbem-21461	14	38	.	.	PUNCT
fbem-21461	15	1	it	it	PRON
fbem-21461	15	2	is	be	AUX
fbem-21461	15	3	worth	worth	ADJ
fbem-21461	15	4	noting	note	VERB
fbem-21461	15	5	that	that	SCONJ
fbem-21461	15	6	the	the	DET
fbem-21461	15	7	above	above	ADJ
fbem-21461	15	8	studies	study	NOUN
fbem-21461	15	9	assume	assume	VERB
fbem-21461	15	10	that	that	SCONJ
fbem-21461	15	11	the	the	DET
fbem-21461	15	12	carrier	carrier	NOUN
fbem-21461	15	13	's	's	PART
fbem-21461	15	14	transport	transport	NOUN
fbem-21461	15	15	capacity	capacity	NOUN
fbem-21461	15	16	is	be	AUX
fbem-21461	15	17	determined	determine	VERB
fbem-21461	15	18	.	.	PUNCT
fbem-21461	16	1	however	however	ADV
fbem-21461	16	2	,	,	PUNCT
fbem-21461	16	3	based	base	VERB
fbem-21461	16	4	on	on	ADP
fbem-21461	16	5	the	the	DET
fbem-21461	16	6	fact	fact	NOUN
fbem-21461	16	7	that	that	SCONJ
fbem-21461	16	8	each	each	DET
fbem-21461	16	9	carrier	carrier	NOUN
fbem-21461	16	10	has	have	AUX
fbem-21461	16	11	probabilistically	probabilistically	ADV
fbem-21461	16	12	distributed	distribute	VERB
fbem-21461	16	13	multiple	multiple	ADJ
fbem-21461	16	14	available	available	ADJ
fbem-21461	16	15	capacities	capacity	NOUN
fbem-21461	16	16	,	,	PUNCT
fbem-21461	16	17	lin	lin	PROPN
fbem-21461	16	18	and	and	CCONJ
fbem-21461	16	19	yeh[4	yeh[4	PROPN
fbem-21461	16	20	]	]	X
fbem-21461	16	21	first	first	ADV
fbem-21461	16	22	studied	study	VERB
fbem-21461	16	23	the	the	DET
fbem-21461	16	24	carrier	carrier	NOUN
fbem-21461	16	25	selection	selection	NOUN
fbem-21461	16	26	problem	problem	NOUN
fbem-21461	16	27	based	base	VERB
fbem-21461	16	28	on	on	ADP
fbem-21461	16	29	network	network	NOUN
fbem-21461	16	30	reliability	reliability	NOUN
fbem-21461	16	31	and	and	CCONJ
fbem-21461	16	32	defined	define	VERB
fbem-21461	16	33	network	network	NOUN
fbem-21461	16	34	reliability	reliability	NOUN
fbem-21461	16	35	as	as	ADP
fbem-21461	16	36	the	the	DET
fbem-21461	16	37	probability	probability	NOUN
fbem-21461	16	38	that	that	SCONJ
fbem-21461	16	39	the	the	DET
fbem-21461	16	40	network	network	NOUN
fbem-21461	16	41	is	be	AUX
fbem-21461	16	42	able	able	ADJ
fbem-21461	16	43	to	to	PART
fbem-21461	16	44	successfully	successfully	ADV
fbem-21461	16	45	transport	transport	VERB
fbem-21461	16	46	d	d	ADP
fbem-21461	16	47	units	unit	NOUN
fbem-21461	16	48	of	of	ADP
fbem-21461	16	49	the	the	DET
fbem-21461	16	50	commodity	commodity	NOUN
fbem-21461	16	51	from	from	ADP
fbem-21461	16	52	the	the	DET
fbem-21461	16	53	supply	supply	NOUN
fbem-21461	16	54	origin	origin	NOUN
fbem-21461	16	55	to	to	ADP
fbem-21461	16	56	the	the	DET
fbem-21461	16	57	demand	demand	NOUN
fbem-21461	16	58	origin	origin	NOUN
fbem-21461	16	59	.	.	PUNCT
fbem-21461	17	1	based	base	VERB
fbem-21461	17	2	on	on	ADP
fbem-21461	17	3	this	this	PRON
fbem-21461	17	4	,	,	PUNCT
fbem-21461	17	5	lin	lin	PROPN
fbem-21461	17	6	and	and	CCONJ
fbem-21461	17	7	yeh[5	yeh[5	NOUN
fbem-21461	17	8	]	]	PUNCT
fbem-21461	17	9	studied	study	VERB
fbem-21461	17	10	the	the	DET
fbem-21461	17	11	carrier	carrier	NOUN
fbem-21461	17	12	selection	selection	NOUN
fbem-21461	17	13	problem	problem	NOUN
fbem-21461	17	14	based	base	VERB
fbem-21461	17	15	on	on	ADP
fbem-21461	17	16	multi	multi	ADJ
fbem-21461	17	17	-	-	ADJ
fbem-21461	17	18	commodity	commodity	ADJ
fbem-21461	17	19	network	network	NOUN
fbem-21461	17	20	reliability	reliability	NOUN
fbem-21461	17	21	,	,	PUNCT
fbem-21461	17	22	where	where	SCONJ
fbem-21461	17	23	multi	multi	ADJ
fbem-21461	17	24	-	-	ADJ
fbem-21461	17	25	commodity	commodity	ADJ
fbem-21461	17	26	network	network	NOUN
fbem-21461	17	27	reliability	reliability	NOUN
fbem-21461	17	28	was	be	AUX
fbem-21461	17	29	defined	define	VERB
fbem-21461	17	30	as	as	ADP
fbem-21461	17	31	the	the	DET
fbem-21461	17	32	probability	probability	NOUN
fbem-21461	17	33	that	that	SCONJ
fbem-21461	17	34	a	a	DET
fbem-21461	17	35	logistics	logistics	NOUN
fbem-21461	17	36	network	network	NOUN
fbem-21461	17	37	can	can	AUX
fbem-21461	17	38	satisfy	satisfy	VERB
fbem-21461	17	39	customer	customer	NOUN
fbem-21461	17	40	demand	demand	NOUN
fbem-21461	17	41	for	for	ADP
fbem-21461	17	42	multiple	multiple	ADJ
fbem-21461	17	43	commodity	commodity	NOUN
fbem-21461	17	44	.	.	PUNCT
fbem-21461	18	1	it	it	PRON
fbem-21461	18	2	is	be	AUX
fbem-21461	18	3	worth	worth	ADJ
fbem-21461	18	4	noting	note	VERB
fbem-21461	18	5	that	that	SCONJ
fbem-21461	18	6	the	the	DET
fbem-21461	18	7	models	model	NOUN
fbem-21461	18	8	of	of	ADP
fbem-21461	18	9	lin	lin	PROPN
fbem-21461	18	10	and	and	CCONJ
fbem-21461	18	11	yeh[4	yeh[4	PROPN
fbem-21461	18	12	-	-	SYM
fbem-21461	18	13	5	5	NUM
fbem-21461	18	14	]	]	PUNCT
fbem-21461	18	15	only	only	ADV
fbem-21461	18	16	consider	consider	VERB
fbem-21461	18	17	the	the	DET
fbem-21461	18	18	stochastic	stochastic	ADJ
fbem-21461	18	19	capacity	capacity	NOUN
fbem-21461	18	20	of	of	ADP
fbem-21461	18	21	carriers	carrier	NOUN
fbem-21461	18	22	without	without	ADP
fbem-21461	18	23	considering	consider	VERB
fbem-21461	18	24	the	the	DET
fbem-21461	18	25	delivery	delivery	NOUN
fbem-21461	18	26	spoilage	spoilage	NOUN
fbem-21461	18	27	and	and	CCONJ
fbem-21461	18	28	cost	cost	NOUN
fbem-21461	18	29	constraint	constraint	NOUN
fbem-21461	18	30	problems	problem	NOUN
fbem-21461	18	31	.	.	PUNCT
fbem-21461	19	1	from	from	ADP
fbem-21461	19	2	the	the	DET
fbem-21461	19	3	perspective	perspective	NOUN
fbem-21461	19	4	of	of	ADP
fbem-21461	19	5	supply	supply	NOUN
fbem-21461	19	6	chain	chain	NOUN
fbem-21461	19	7	management	management	NOUN
fbem-21461	19	8	,	,	PUNCT
fbem-21461	19	9	the	the	DET
fbem-21461	19	10	delivery	delivery	NOUN
fbem-21461	19	11	process	process	NOUN
fbem-21461	19	12	is	be	AUX
fbem-21461	19	13	an	an	DET
fbem-21461	19	14	important	important	ADJ
fbem-21461	19	15	part	part	NOUN
fbem-21461	19	16	of	of	ADP
fbem-21461	19	17	the	the	DET
fbem-21461	19	18	supply	supply	NOUN
fbem-21461	19	19	chain	chain	NOUN
fbem-21461	19	20	.	.	PUNCT
fbem-21461	20	1	however	however	ADV
fbem-21461	20	2	,	,	PUNCT
fbem-21461	20	3	some	some	DET
fbem-21461	20	4	commodity	commodity	NOUN
fbem-21461	20	5	may	may	AUX
fbem-21461	20	6	deteriorate	deteriorate	VERB
fbem-21461	20	7	during	during	ADP
fbem-21461	20	8	the	the	DET
fbem-21461	20	9	delivery	delivery	NOUN
fbem-21461	20	10	process	process	NOUN
fbem-21461	20	11	due	due	ADP
fbem-21461	20	12	to	to	ADP
fbem-21461	20	13	weather	weather	NOUN
fbem-21461	20	14	,	,	PUNCT
fbem-21461	20	15	crash	crash	NOUN
fbem-21461	20	16	etc	etc	X
fbem-21461	20	17	.	.	X
fbem-21461	21	1	under	under	ADP
fbem-21461	21	2	delivery	delivery	NOUN
fbem-21461	21	3	spoilage	spoilage	NOUN
fbem-21461	21	4	,	,	PUNCT
fbem-21461	21	5	the	the	DET
fbem-21461	21	6	quantity	quantity	NOUN
fbem-21461	21	7	of	of	ADP
fbem-21461	21	8	intact	intact	ADJ
fbem-21461	21	9	commodity	commodity	NOUN
fbem-21461	21	10	transported	transport	VERB
fbem-21461	21	11	from	from	ADP
fbem-21461	21	12	the	the	DET
fbem-21461	21	13	source	source	NOUN
fbem-21461	21	14	to	to	ADP
fbem-21461	21	15	the	the	DET
fbem-21461	21	16	sink	sink	NOUN
fbem-21461	21	17	by	by	ADP
fbem-21461	21	18	the	the	DET
fbem-21461	21	19	logistics	logistic	NOUN
fbem-21461	21	20	network	network	NOUN
fbem-21461	21	21	may	may	AUX
fbem-21461	21	22	not	not	PART
fbem-21461	21	23	be	be	AUX
fbem-21461	21	24	sufficient	sufficient	ADJ
fbem-21461	21	25	to	to	PART
fbem-21461	21	26	meet	meet	VERB
fbem-21461	21	27	the	the	DET
fbem-21461	21	28	market	market	NOUN
fbem-21461	21	29	demand	demand	NOUN
fbem-21461	21	30	.	.	PUNCT
fbem-21461	22	1	therefore	therefore	ADV
fbem-21461	22	2	,	,	PUNCT
fbem-21461	22	3	some	some	DET
fbem-21461	22	4	scholars	scholar	NOUN
fbem-21461	22	5	have	have	AUX
fbem-21461	22	6	studied	study	VERB
fbem-21461	22	7	the	the	DET
fbem-21461	22	8	reliability	reliability	NOUN
fbem-21461	22	9	of	of	ADP
fbem-21461	22	10	logistics	logistic	NOUN
fbem-21461	22	11	networks	network	NOUN
fbem-21461	22	12	under	under	ADP
fbem-21461	22	13	delivery	delivery	NOUN
fbem-21461	22	14	spoilage	spoilage	NOUN
fbem-21461	22	15	.	.	PUNCT
fbem-21461	23	1	assuming	assume	VERB
fbem-21461	23	2	that	that	SCONJ
fbem-21461	23	3	each	each	DET
fbem-21461	23	4	minimal	minimal	ADJ
fbem-21461	23	5	path	path	NOUN
fbem-21461	23	6	is	be	AUX
fbem-21461	23	7	associated	associate	VERB
fbem-21461	23	8	with	with	ADP
fbem-21461	23	9	a	a	DET
fbem-21461	23	10	spoilage	spoilage	NOUN
fbem-21461	23	11	rate	rate	NOUN
fbem-21461	23	12	,	,	PUNCT
fbem-21461	23	13	lin	lin	PROPN
fbem-21461	23	14	et	et	PROPN
fbem-21461	23	15	al[6	al[6	PROPN
fbem-21461	23	16	]	]	PUNCT
fbem-21461	23	17	proposed	propose	VERB
fbem-21461	23	18	a	a	DET
fbem-21461	23	19	strategy	strategy	NOUN
fbem-21461	23	20	for	for	ADP
fbem-21461	23	21	distributing	distribute	VERB
fbem-21461	23	22	the	the	DET
fbem-21461	23	23	commodity	commodity	NOUN
fbem-21461	23	24	flow	flow	NOUN
fbem-21461	23	25	on	on	ADP
fbem-21461	23	26	each	each	DET
fbem-21461	23	27	minimal	minimal	ADJ
fbem-21461	23	28	path	path	NOUN
fbem-21461	23	29	based	base	VERB
fbem-21461	23	30	on	on	ADP
fbem-21461	23	31	the	the	DET
fbem-21461	23	32	fact	fact	NOUN
fbem-21461	23	33	that	that	SCONJ
fbem-21461	23	34	delivery	delivery	NOUN
fbem-21461	23	35	spoilage	spoilage	NOUN
fbem-21461	23	36	causes	cause	VERB
fbem-21461	23	37	the	the	DET
fbem-21461	23	38	output	output	NOUN
fbem-21461	23	39	flow	flow	NOUN
fbem-21461	23	40	to	to	PART
fbem-21461	23	41	be	be	AUX
fbem-21461	23	42	smaller	small	ADJ
fbem-21461	23	43	than	than	ADP
fbem-21461	23	44	the	the	DET
fbem-21461	23	45	input	input	NOUN
fbem-21461	23	46	flow	flow	NOUN
fbem-21461	23	47	,	,	PUNCT
fbem-21461	23	48	and	and	CCONJ
fbem-21461	23	49	defined	define	VERB
fbem-21461	23	50	the	the	DET
fbem-21461	23	51	network	network	NOUN
fbem-21461	23	52	reliability	reliability	NOUN
fbem-21461	23	53	as	as	ADP
fbem-21461	23	54	the	the	DET
fbem-21461	23	55	probability	probability	NOUN
fbem-21461	23	56	of	of	ADP
fbem-21461	23	57	being	be	AUX
fbem-21461	23	58	able	able	ADJ
fbem-21461	23	59	to	to	PART
fbem-21461	23	60	satisfy	satisfy	VERB
fbem-21461	23	61	the	the	DET
fbem-21461	23	62	market	market	NOUN
fbem-21461	23	63	demand	demand	NOUN
fbem-21461	23	64	under	under	ADP
fbem-21461	23	65	delivery	delivery	NOUN
fbem-21461	23	66	spoilage	spoilage	NOUN
fbem-21461	23	67	and	and	CCONJ
fbem-21461	23	68	budget	budget	NOUN
fbem-21461	23	69	constraint	constraint	NOUN
fbem-21461	23	70	.	.	PUNCT
fbem-21461	24	1	under	under	ADP
fbem-21461	24	2	the	the	DET
fbem-21461	24	3	same	same	ADJ
fbem-21461	24	4	assumptions	assumption	NOUN
fbem-21461	24	5	,	,	PUNCT
fbem-21461	24	6	lin	lin	PROPN
fbem-21461	24	7	et	et	PROPN
fbem-21461	24	8	al[7	al[7	PROPN
fbem-21461	24	9	]	]	PUNCT
fbem-21461	24	10	provided	provide	VERB
fbem-21461	24	11	a	a	DET
fbem-21461	24	12	new	new	ADJ
fbem-21461	24	13	approach	approach	NOUN
fbem-21461	24	14	to	to	PART
fbem-21461	24	15	assess	assess	VERB
fbem-21461	24	16	the	the	DET
fbem-21461	24	17	reliability	reliability	NOUN
fbem-21461	24	18	of	of	ADP
fbem-21461	24	19	logistics	logistic	NOUN
fbem-21461	24	20	distribution	distribution	NOUN
fbem-21461	24	21	network	network	NOUN
fbem-21461	24	22	with	with	ADP
fbem-21461	24	23	multiple	multiple	ADJ
fbem-21461	24	24	suppliers	supplier	NOUN
fbem-21461	24	25	and	and	CCONJ
fbem-21461	24	26	multiple	multiple	ADJ
fbem-21461	24	27	markets	market	NOUN
fbem-21461	24	28	.	.	PUNCT
fbem-21461	25	1	lin	lin	PROPN
fbem-21461	25	2	et	et	PROPN
fbem-21461	25	3	al[8	al[8	PROPN
fbem-21461	25	4	]	]	PUNCT
fbem-21461	25	5	developed	develop	VERB
fbem-21461	25	6	a	a	DET
fbem-21461	25	7	model	model	NOUN
fbem-21461	25	8	for	for	ADP
fbem-21461	25	9	assessing	assess	VERB
fbem-21461	25	10	the	the	DET
fbem-21461	25	11	reliability	reliability	NOUN
fbem-21461	25	12	of	of	ADP
fbem-21461	25	13	the	the	DET
fbem-21461	25	14	logistics	logistic	NOUN
fbem-21461	25	15	distribution	distribution	NOUN
fbem-21461	25	16	network	network	NOUN
fbem-21461	25	17	with	with	ADP
fbem-21461	25	18	respect	respect	NOUN
fbem-21461	25	19	to	to	ADP
fbem-21461	25	20	three	three	NUM
fbem-21461	25	21	important	important	ADJ
fbem-21461	25	22	factors	factor	NOUN
fbem-21461	25	23	in	in	ADP
fbem-21461	25	24	the	the	DET
fbem-21461	25	25	logistics	logistic	NOUN
fbem-21461	25	26	network	network	NOUN
fbem-21461	25	27	:	:	PUNCT
fbem-21461	25	28	delivery	delivery	NOUN
fbem-21461	25	29	,	,	PUNCT
fbem-21461	25	30	cost	cost	NOUN
fbem-21461	25	31	constraint	constraint	NOUN
fbem-21461	25	32	,	,	PUNCT
fbem-21461	25	33	and	and	CCONJ
fbem-21461	25	34	the	the	DET
fbem-21461	25	35	limited	limited	ADJ
fbem-21461	25	36	production	production	NOUN
fbem-21461	25	37	capacity	capacity	NOUN
fbem-21461	25	38	of	of	ADP
fbem-21461	25	39	the	the	DET
fbem-21461	25	40	suppliers	supplier	NOUN
fbem-21461	25	41	.	.	PUNCT
fbem-21461	26	1	lin	lin	PROPN
fbem-21461	26	2	et	et	PROPN
fbem-21461	26	3	al[9	al[9	PROPN
fbem-21461	26	4	]	]	PUNCT
fbem-21461	26	5	proposed	propose	VERB
fbem-21461	26	6	a	a	DET
fbem-21461	26	7	multimodal	multimodal	ADJ
fbem-21461	26	8	intermodal	intermodal	ADJ
fbem-21461	26	9	network	network	NOUN
fbem-21461	26	10	reliability	reliability	NOUN
fbem-21461	26	11	assessment	assessment	NOUN
fbem-21461	26	12	method	method	NOUN
fbem-21461	26	13	and	and	CCONJ
fbem-21461	26	14	defined	define	VERB
fbem-21461	26	15	network	network	NOUN
fbem-21461	26	16	reliability	reliability	NOUN
fbem-21461	26	17	as	as	ADP
fbem-21461	26	18	the	the	DET
fbem-21461	26	19	probability	probability	NOUN
fbem-21461	26	20	that	that	SCONJ
fbem-21461	26	21	the	the	DET
fbem-21461	26	22	number	number	NOUN
fbem-21461	26	23	of	of	ADP
fbem-21461	26	24	intact	intact	ADJ
fbem-21461	26	25	commodity	commodity	NOUN
fbem-21461	26	26	transported	transport	VERB
fbem-21461	26	27	to	to	ADP
fbem-21461	26	28	the	the	DET
fbem-21461	26	29	destination	destination	NOUN
fbem-21461	26	30	by	by	ADP
fbem-21461	26	31	the	the	DET
fbem-21461	26	32	network	network	NOUN
fbem-21461	26	33	can	can	AUX
fbem-21461	26	34	meet	meet	VERB
fbem-21461	26	35	the	the	DET
fbem-21461	26	36	market	market	NOUN
fbem-21461	26	37	demand	demand	NOUN
fbem-21461	26	38	under	under	ADP
fbem-21461	26	39	delivery	delivery	NOUN
fbem-21461	26	40	spoilage	spoilage	NOUN
fbem-21461	26	41	and	and	CCONJ
fbem-21461	26	42	time	time	NOUN
fbem-21461	26	43	constraint	constraint	NOUN
fbem-21461	26	44	.	.	PUNCT
fbem-21461	27	1	in	in	ADP
fbem-21461	27	2	order	order	NOUN
fbem-21461	27	3	to	to	PART
fbem-21461	27	4	better	well	ADV
fbem-21461	27	5	characterize	characterize	VERB
fbem-21461	27	6	the	the	DET
fbem-21461	27	7	relationship	relationship	NOUN
fbem-21461	27	8	that	that	PRON
fbem-21461	27	9	exists	exist	VERB
fbem-21461	27	10	among	among	ADP
fbem-21461	27	11	the	the	DET
fbem-21461	27	12	minimal	minimal	ADJ
fbem-21461	27	13	paths	path	NOUN
fbem-21461	27	14	,	,	PUNCT
fbem-21461	27	15	niu	niu	PROPN
fbem-21461	27	16	et	et	PROPN
fbem-21461	27	17	al[10	al[10	PROPN
fbem-21461	27	18	]	]	PUNCT
fbem-21461	27	19	investigated	investigate	VERB
fbem-21461	27	20	the	the	DET
fbem-21461	27	21	problem	problem	NOUN
fbem-21461	27	22	of	of	ADP
fbem-21461	27	23	logistics	logistic	NOUN
fbem-21461	27	24	distribution	distribution	NOUN
fbem-21461	27	25	network	network	NOUN
fbem-21461	27	26	reliability	reliability	NOUN
fbem-21461	27	27	assessment	assessment	NOUN
fbem-21461	27	28	under	under	ADP
fbem-21461	27	29	delivery	delivery	NOUN
fbem-21461	27	30	spoilage	spoilage	NOUN
fbem-21461	27	31	and	and	CCONJ
fbem-21461	27	32	cost	cost	NOUN
fbem-21461	27	33	constraint	constraint	NOUN
fbem-21461	27	34	based	base	VERB
fbem-21461	27	35	on	on	ADP
fbem-21461	27	36	associating	associate	VERB
fbem-21461	27	37	a	a	DET
fbem-21461	27	38	spoilage	spoilage	NOUN
fbem-21461	27	39	rate	rate	NOUN
fbem-21461	27	40	to	to	ADP
fbem-21461	27	41	each	each	DET
fbem-21461	27	42	route	route	NOUN
fbem-21461	27	43	.	.	PUNCT
fbem-21461	28	1	in	in	ADP
fbem-21461	28	2	addition	addition	NOUN
fbem-21461	28	3	,	,	PUNCT
fbem-21461	28	4	niu	niu	PROPN
fbem-21461	28	5	et	et	PROPN
fbem-21461	28	6	al[11	al[11	PROPN
fbem-21461	28	7	]	]	PUNCT
fbem-21461	28	8	improved	improve	VERB
fbem-21461	28	9	the	the	DET
fbem-21461	28	10	computational	computational	ADJ
fbem-21461	28	11	efficiency	efficiency	NOUN
fbem-21461	28	12	of	of	ADP
fbem-21461	28	13	network	network	NOUN
fbem-21461	28	14	reliability	reliability	NOUN
fbem-21461	28	15	by	by	ADP
fbem-21461	28	16	introducing	introduce	VERB
fbem-21461	28	17	a	a	DET
fbem-21461	28	18	method	method	NOUN
fbem-21461	28	19	to	to	PART
fbem-21461	28	20	remove	remove	VERB
fbem-21461	28	21	repeated	repeat	VERB
fbem-21461	28	22	d	d	PROPN
fbem-21461	28	23	-	-	NOUN
fbem-21461	28	24	mp	mp	NOUN
fbem-21461	28	25	more	more	ADV
fbem-21461	28	26	efficiently	efficiently	ADV
fbem-21461	28	27	.	.	PUNCT
fbem-21461	29	1	huang	huang	PROPN
fbem-21461	29	2	et	et	PROPN
fbem-21461	29	3	al[12	al[12	PROPN
fbem-21461	29	4	]	]	PUNCT
fbem-21461	29	5	proposed	propose	VERB
fbem-21461	29	6	a	a	DET
fbem-21461	29	7	network	network	NOUN
fbem-21461	29	8	reliability	reliability	NOUN
fbem-21461	29	9	assessment	assessment	NOUN
fbem-21461	29	10	method	method	NOUN
fbem-21461	29	11	based	base	VERB
fbem-21461	29	12	on	on	ADP
fbem-21461	29	13	dmp	dmp	PROPN
fbem-21461	29	14	in	in	ADP
fbem-21461	29	15	order	order	NOUN
fbem-21461	29	16	to	to	PART
fbem-21461	29	17	deal	deal	VERB
fbem-21461	29	18	with	with	ADP
fbem-21461	29	19	non	non	ADJ
fbem-21461	29	20	-	-	ADJ
fbem-21461	29	21	integer	integer	ADJ
fbem-21461	29	22	types	type	NOUN
fbem-21461	29	23	of	of	ADP
fbem-21461	29	24	data	datum	NOUN
fbem-21461	29	25	efficiently	efficiently	ADV
fbem-21461	29	26	.	.	PUNCT
fbem-21461	30	1	a	a	DET
fbem-21461	30	2	carrier	carrier	NOUN
fbem-21461	30	3	potentially	potentially	ADV
fbem-21461	30	4	has	have	VERB
fbem-21461	30	5	multiple	multiple	ADJ
fbem-21461	30	6	available	available	ADJ
fbem-21461	30	7	capacities	capacity	NOUN
fbem-21461	30	8	with	with	ADP
fbem-21461	30	9	a	a	DET
fbem-21461	30	10	probability	probability	NOUN
fbem-21461	30	11	distribution	distribution	NOUN
fbem-21461	30	12	.	.	PUNCT
fbem-21461	31	1	as	as	ADP
fbem-21461	31	2	a	a	DET
fbem-21461	31	3	result	result	NOUN
fbem-21461	31	4	,	,	PUNCT
fbem-21461	31	5	a	a	DET
fbem-21461	31	6	logistics	logistics	NOUN
fbem-21461	31	7	network	network	NOUN
fbem-21461	31	8	is	be	AUX
fbem-21461	31	9	a	a	DET
fbem-21461	31	10	typical	typical	ADJ
fbem-21461	31	11	multi	multi	ADJ
fbem-21461	31	12	-	-	ADJ
fbem-21461	31	13	state	state	ADJ
fbem-21461	31	14	logistics	logistic	NOUN
fbem-21461	31	15	network	network	NOUN
fbem-21461	31	16	.	.	PUNCT
fbem-21461	32	1	in	in	ADP
fbem-21461	32	2	a	a	DET
fbem-21461	32	3	real	real	ADJ
fbem-21461	32	4	logistics	logistic	NOUN
fbem-21461	32	5	network	network	NOUN
fbem-21461	32	6	,	,	PUNCT
fbem-21461	32	7	there	there	PRON
fbem-21461	32	8	are	be	VERB
fbem-21461	32	9	multiple	multiple	ADJ
fbem-21461	32	10	carriers	carrier	NOUN
fbem-21461	32	11	available	available	ADJ
fbem-21461	32	12	to	to	PART
fbem-21461	32	13	provide	provide	VERB
fbem-21461	32	14	transportation	transportation	NOUN
fbem-21461	32	15	services	service	NOUN
fbem-21461	32	16	on	on	ADP
fbem-21461	32	17	each	each	DET
fbem-21461	32	18	route	route	NOUN
fbem-21461	32	19	,	,	PUNCT
fbem-21461	32	20	and	and	CCONJ
fbem-21461	32	21	each	each	DET
fbem-21461	32	22	carrier	carrier	NOUN
fbem-21461	32	23	has	have	VERB
fbem-21461	32	24	a	a	DET
fbem-21461	32	25	capacity	capacity	NOUN
fbem-21461	32	26	probability	probability	NOUN
fbem-21461	32	27	distribution	distribution	NOUN
fbem-21461	32	28	.	.	PUNCT
fbem-21461	33	1	there	there	PRON
fbem-21461	33	2	are	be	VERB
fbem-21461	33	3	multiple	multiple	ADJ
fbem-21461	33	4	capacity	capacity	NOUN
fbem-21461	33	5	probability	probability	NOUN
fbem-21461	33	6	distributions	distribution	NOUN
fbem-21461	33	7	on	on	ADP
fbem-21461	33	8	each	each	DET
fbem-21461	33	9	route	route	NOUN
fbem-21461	33	10	,	,	PUNCT
fbem-21461	33	11	and	and	CCONJ
fbem-21461	33	12	this	this	DET
fbem-21461	33	13	capacity	capacity	NOUN
fbem-21461	33	14	probability	probability	NOUN
fbem-21461	33	15	distribution	distribution	NOUN
fbem-21461	33	16	indicates	indicate	VERB
fbem-21461	33	17	the	the	DET
fbem-21461	33	18	transportation	transportation	NOUN
fbem-21461	33	19	capacity	capacity	NOUN
fbem-21461	33	20	of	of	ADP
fbem-21461	33	21	different	different	ADJ
fbem-21461	33	22	carriers	carrier	NOUN
fbem-21461	33	23	.	.	PUNCT
fbem-21461	34	1	thus	thus	ADV
fbem-21461	34	2	,	,	PUNCT
fbem-21461	34	3	a	a	DET
fbem-21461	34	4	carrier	carrier	NOUN
fbem-21461	34	5	selection	selection	NOUN
fbem-21461	34	6	indicates	indicate	VERB
fbem-21461	34	7	the	the	DET
fbem-21461	34	8	logistics	logistic	NOUN
fbem-21461	34	9	service	service	NOUN
fbem-21461	34	10	level	level	NOUN
fbem-21461	34	11	of	of	ADP
fbem-21461	34	12	the	the	DET
fbem-21461	34	13	network	network	NOUN
fbem-21461	34	14	.	.	PUNCT
fbem-21461	35	1	based	base	VERB
fbem-21461	35	2	on	on	ADP
fbem-21461	35	3	this	this	PRON
fbem-21461	35	4	,	,	PUNCT
fbem-21461	35	5	this	this	DET
fbem-21461	35	6	type	type	NOUN
fbem-21461	35	7	of	of	ADP
fbem-21461	35	8	network	network	NOUN
fbem-21461	35	9	is	be	AUX
fbem-21461	35	10	called	call	VERB
fbem-21461	35	11	a	a	DET
fbem-21461	35	12	multi	multi	ADJ
fbem-21461	35	13	-	-	ADJ
fbem-21461	35	14	distribution	distribution	ADJ
fbem-21461	35	15	multi	multi	ADJ
fbem-21461	35	16	-	-	ADJ
fbem-21461	35	17	state	state	ADJ
fbem-21461	35	18	logistics	logistic	NOUN
fbem-21461	35	19	network	network	NOUN
fbem-21461	35	20	.	.	PUNCT
fbem-21461	36	1	335	335	NUM
fbem-21461	36	2	therefore	therefore	ADV
fbem-21461	36	3	,	,	PUNCT
fbem-21461	36	4	this	this	DET
fbem-21461	36	5	paper	paper	NOUN
fbem-21461	36	6	focuses	focus	VERB
fbem-21461	36	7	on	on	ADP
fbem-21461	36	8	the	the	DET
fbem-21461	36	9	optimal	optimal	ADJ
fbem-21461	36	10	carrier	carrier	NOUN
fbem-21461	36	11	selection	selection	NOUN
fbem-21461	36	12	problem	problem	NOUN
fbem-21461	36	13	based	base	VERB
fbem-21461	36	14	on	on	ADP
fbem-21461	36	15	network	network	NOUN
fbem-21461	36	16	reliability	reliability	NOUN
fbem-21461	36	17	under	under	ADP
fbem-21461	36	18	delivery	delivery	NOUN
fbem-21461	36	19	spoilage	spoilage	NOUN
fbem-21461	36	20	and	and	CCONJ
fbem-21461	36	21	cost	cost	NOUN
fbem-21461	36	22	constraint	constraint	NOUN
fbem-21461	36	23	.	.	PUNCT
fbem-21461	37	1	the	the	DET
fbem-21461	37	2	network	network	NOUN
fbem-21461	37	3	reliability	reliability	NOUN
fbem-21461	37	4	under	under	ADP
fbem-21461	37	5	the	the	DET
fbem-21461	37	6	delivery	delivery	NOUN
fbem-21461	37	7	spoilage	spoilage	NOUN
fbem-21461	37	8	and	and	CCONJ
fbem-21461	37	9	cost	cost	NOUN
fbem-21461	37	10	constraint	constraint	NOUN
fbem-21461	37	11	is	be	AUX
fbem-21461	37	12	defined	define	VERB
fbem-21461	37	13	as	as	ADP
fbem-21461	37	14	the	the	DET
fbem-21461	37	15	probability	probability	NOUN
fbem-21461	37	16	that	that	SCONJ
fbem-21461	37	17	the	the	DET
fbem-21461	37	18	number	number	NOUN
fbem-21461	37	19	of	of	ADP
fbem-21461	37	20	intact	intact	ADJ
fbem-21461	37	21	commodity	commodity	NOUN
fbem-21461	37	22	transported	transport	VERB
fbem-21461	37	23	by	by	ADP
fbem-21461	37	24	the	the	DET
fbem-21461	37	25	network	network	NOUN
fbem-21461	37	26	from	from	ADP
fbem-21461	37	27	the	the	DET
fbem-21461	37	28	source	source	NOUN
fbem-21461	37	29	to	to	ADP
fbem-21461	37	30	multiple	multiple	ADJ
fbem-21461	37	31	sinks	sink	NOUN
fbem-21461	37	32	can	can	AUX
fbem-21461	37	33	meet	meet	VERB
fbem-21461	37	34	the	the	DET
fbem-21461	37	35	demand	demand	NOUN
fbem-21461	37	36	under	under	ADP
fbem-21461	37	37	the	the	DET
fbem-21461	37	38	condition	condition	NOUN
fbem-21461	37	39	that	that	SCONJ
fbem-21461	37	40	the	the	DET
fbem-21461	37	41	total	total	ADJ
fbem-21461	37	42	transportation	transportation	NOUN
fbem-21461	37	43	cost	cost	NOUN
fbem-21461	37	44	does	do	AUX
fbem-21461	37	45	not	not	PART
fbem-21461	37	46	exceed	exceed	VERB
fbem-21461	37	47	the	the	DET
fbem-21461	37	48	given	give	VERB
fbem-21461	37	49	upper	upper	ADJ
fbem-21461	37	50	limit	limit	NOUN
fbem-21461	37	51	when	when	SCONJ
fbem-21461	37	52	there	there	PRON
fbem-21461	37	53	is	be	VERB
fbem-21461	37	54	delivery	delivery	NOUN
fbem-21461	37	55	spoilage	spoilage	NOUN
fbem-21461	37	56	on	on	ADP
fbem-21461	37	57	each	each	DET
fbem-21461	37	58	transportation	transportation	NOUN
fbem-21461	37	59	route	route	NOUN
fbem-21461	37	60	.	.	PUNCT
fbem-21461	38	1	for	for	ADP
fbem-21461	38	2	the	the	DET
fbem-21461	38	3	carrier	carrier	NOUN
fbem-21461	38	4	selection	selection	NOUN
fbem-21461	38	5	model	model	NOUN
fbem-21461	38	6	based	base	VERB
fbem-21461	38	7	on	on	ADP
fbem-21461	38	8	network	network	NOUN
fbem-21461	38	9	reliability	reliability	NOUN
fbem-21461	38	10	,	,	PUNCT
fbem-21461	38	11	a	a	DET
fbem-21461	38	12	model	model	NOUN
fbem-21461	38	13	solution	solution	NOUN
fbem-21461	38	14	method	method	NOUN
fbem-21461	38	15	is	be	AUX
fbem-21461	38	16	proposed	propose	VERB
fbem-21461	38	17	based	base	VERB
fbem-21461	38	18	on	on	ADP
fbem-21461	38	19	mp	mp	PROPN
fbem-21461	38	20	.	.	PUNCT
fbem-21461	39	1	the	the	DET
fbem-21461	39	2	validity	validity	NOUN
fbem-21461	39	3	of	of	ADP
fbem-21461	39	4	the	the	DET
fbem-21461	39	5	algorithm	algorithm	NOUN
fbem-21461	39	6	is	be	AUX
fbem-21461	39	7	analyzed	analyze	VERB
fbem-21461	39	8	through	through	ADP
fbem-21461	39	9	arithmetic	arithmetic	ADJ
fbem-21461	39	10	examples	example	NOUN
fbem-21461	39	11	.	.	PUNCT
fbem-21461	40	1	it	it	PRON
fbem-21461	40	2	provides	provide	VERB
fbem-21461	40	3	theoretical	theoretical	ADJ
fbem-21461	40	4	guidance	guidance	NOUN
fbem-21461	40	5	for	for	SCONJ
fbem-21461	40	6	managers	manager	NOUN
fbem-21461	40	7	to	to	PART
fbem-21461	40	8	determine	determine	VERB
fbem-21461	40	9	the	the	DET
fbem-21461	40	10	optimal	optimal	ADJ
fbem-21461	40	11	carrier	carrier	NOUN
fbem-21461	40	12	selection	selection	NOUN
fbem-21461	40	13	under	under	ADP
fbem-21461	40	14	the	the	DET
fbem-21461	40	15	network	network	NOUN
fbem-21461	40	16	reliability	reliability	NOUN
fbem-21461	40	17	perspective	perspective	NOUN
fbem-21461	40	18	.	.	PUNCT
fbem-21461	41	1	2	2	X
fbem-21461	41	2	.	.	X
fbem-21461	41	3	network	network	NOUN
fbem-21461	41	4	model	model	NOUN
fbem-21461	41	5	and	and	CCONJ
fbem-21461	41	6	problem	problem	NOUN
fbem-21461	41	7	description	description	NOUN
fbem-21461	41	8	2.1	2.1	NUM
fbem-21461	41	9	.	.	PUNCT
fbem-21461	42	1	network	network	NOUN
fbem-21461	42	2	model	model	NOUN
fbem-21461	42	3	denote	denote	VERB
fbem-21461	42	4	by	by	ADP
fbem-21461	42	5	q	q	PROPN
fbem-21461	42	6	(	(	PUNCT
fbem-21461	42	7	v	v	NOUN
fbem-21461	42	8	,	,	PUNCT
fbem-21461	42	9	r	r	NOUN
fbem-21461	42	10	)	)	PUNCT
fbem-21461	42	11	a	a	DET
fbem-21461	42	12	logistics	logistics	NOUN
fbem-21461	42	13	network	network	NOUN
fbem-21461	42	14	with	with	ADP
fbem-21461	42	15	a	a	DET
fbem-21461	42	16	single	single	ADJ
fbem-21461	42	17	source	source	NOUN
fbem-21461	42	18	point	point	NOUN
fbem-21461	42	19	s	s	PART
fbem-21461	42	20	and	and	CCONJ
fbem-21461	42	21	multiple	multiple	ADJ
fbem-21461	42	22	sinks	sink	NOUN
fbem-21461	42	23	tφ	tφ	PROPN
fbem-21461	42	24	,	,	PUNCT
fbem-21461	42	25	where	where	SCONJ
fbem-21461	42	26	φ	φ	PROPN
fbem-21461	42	27	=	=	SYM
fbem-21461	42	28	1	1	NUM
fbem-21461	42	29	,	,	PUNCT
fbem-21461	42	30	2	2	NUM
fbem-21461	42	31	,	,	PUNCT
fbem-21461	42	32	...	...	PUNCT
fbem-21461	42	33	,	,	PUNCT
fbem-21461	42	34	t.	t.	PROPN
fbem-21461	42	35	in	in	ADP
fbem-21461	42	36	q	q	PROPN
fbem-21461	42	37	(	(	PUNCT
fbem-21461	42	38	v	v	NOUN
fbem-21461	42	39	,	,	PUNCT
fbem-21461	42	40	r	r	NOUN
fbem-21461	42	41	)	)	PUNCT
fbem-21461	42	42	,	,	PUNCT
fbem-21461	42	43	v	v	NOUN
fbem-21461	42	44	is	be	AUX
fbem-21461	42	45	the	the	DET
fbem-21461	42	46	set	set	NOUN
fbem-21461	42	47	of	of	ADP
fbem-21461	42	48	all	all	DET
fbem-21461	42	49	nodes	node	NOUN
fbem-21461	42	50	and	and	CCONJ
fbem-21461	42	51	r	r	NOUN
fbem-21461	42	52	is	be	AUX
fbem-21461	42	53	the	the	DET
fbem-21461	42	54	set	set	NOUN
fbem-21461	42	55	of	of	ADP
fbem-21461	42	56	n	n	PRON
fbem-21461	42	57	routes	route	NOUN
fbem-21461	42	58	,	,	PUNCT
fbem-21461	42	59	i.e.	i.e.	X
fbem-21461	42	60	,	,	PUNCT
fbem-21461	42	61	r	r	NOUN
fbem-21461	42	62	=	=	SYM
fbem-21461	42	63	{	{	PUNCT
fbem-21461	42	64	ri|1	ri|1	NOUN
fbem-21461	42	65	≤	≤	NUM
fbem-21461	42	66	i	i	PRON
fbem-21461	42	67	≤	≤	NOUN
fbem-21461	42	68	n	n	CCONJ
fbem-21461	42	69	}	}	PUNCT
fbem-21461	42	70	.	.	PUNCT
fbem-21461	43	1	assuming	assume	VERB
fbem-21461	43	2	that	that	SCONJ
fbem-21461	43	3	there	there	PRON
fbem-21461	43	4	are	be	VERB
fbem-21461	43	5	zi	zi	NOUN
fbem-21461	43	6	carriers	carrier	NOUN
fbem-21461	43	7	to	to	PART
fbem-21461	43	8	be	be	AUX
fbem-21461	43	9	selected	select	VERB
fbem-21461	43	10	for	for	ADP
fbem-21461	43	11	each	each	DET
fbem-21461	43	12	route	route	NOUN
fbem-21461	43	13	r	r	NOUN
fbem-21461	43	14	i	i	PROPN
fbem-21461	43	15	,	,	PUNCT
fbem-21461	43	16	carrier	carrier	PROPN
fbem-21461	43	17	eiu	eiu	PROPN
fbem-21461	43	18	denotes	denote	VERB
fbem-21461	43	19	the	the	DET
fbem-21461	43	20	uth	uth	NOUN
fbem-21461	43	21	carrier	carrier	NOUN
fbem-21461	43	22	on	on	ADP
fbem-21461	43	23	r	r	PROPN
fbem-21461	43	24	i	i	PRON
fbem-21461	43	25	,	,	PUNCT
fbem-21461	43	26	where	where	SCONJ
fbem-21461	43	27	u	u	NOUN
fbem-21461	43	28	=	=	NOUN
fbem-21461	43	29	1	1	NUM
fbem-21461	43	30	,	,	PUNCT
fbem-21461	43	31	2	2	NUM
fbem-21461	43	32	,	,	PUNCT
fbem-21461	43	33	...	...	PUNCT
fbem-21461	43	34	,	,	PUNCT
fbem-21461	43	35	zi	zi	PROPN
fbem-21461	43	36	.	.	PUNCT
fbem-21461	43	37	carrier	carrier	PROPN
fbem-21461	43	38	eiu	eiu	PROPN
fbem-21461	43	39	has	have	VERB
fbem-21461	43	40	miu	miu	PROPN
fbem-21461	43	41	capacity	capacity	NOUN
fbem-21461	43	42	states	state	NOUN
fbem-21461	43	43	,	,	PUNCT
fbem-21461	43	44	i.e.	i.e.	X
fbem-21461	43	45	,	,	PUNCT
fbem-21461	43	46	0	0	X
fbem-21461	43	47	=	=	NOUN
fbem-21461	43	48	ciu(1	ciu(1	NOUN
fbem-21461	43	49	)	)	PUNCT
fbem-21461	43	50	<	<	X
fbem-21461	43	51	ciu(2	ciu(2	NOUN
fbem-21461	43	52	)	)	PUNCT
fbem-21461	43	53	<	<	X
fbem-21461	43	54	...	...	PUNCT
fbem-21461	44	1	<	<	X
fbem-21461	44	2	ciu(miu	ciu(miu	PROPN
fbem-21461	44	3	)	)	PUNCT
fbem-21461	44	4	,	,	PUNCT
fbem-21461	44	5	where	where	SCONJ
fbem-21461	44	6	ciu(h	ciu(h	ADV
fbem-21461	44	7	)	)	PUNCT
fbem-21461	44	8	(	(	PUNCT
fbem-21461	44	9	h	h	NOUN
fbem-21461	44	10	=	=	NOUN
fbem-21461	44	11	1	1	NUM
fbem-21461	44	12	,	,	PUNCT
fbem-21461	44	13	2	2	NUM
fbem-21461	44	14	,	,	PUNCT
fbem-21461	44	15	...	...	PUNCT
fbem-21461	44	16	,	,	PUNCT
fbem-21461	44	17	miu	miu	PROPN
fbem-21461	44	18	)	)	PUNCT
fbem-21461	44	19	and	and	CCONJ
fbem-21461	44	20	ciu(miu	ciu(miu	PROPN
fbem-21461	44	21	)	)	PUNCT
fbem-21461	44	22	are	be	AUX
fbem-21461	44	23	the	the	DET
fbem-21461	44	24	hth	hth	PROPN
fbem-21461	44	25	capacity	capacity	NOUN
fbem-21461	44	26	state	state	NOUN
fbem-21461	44	27	and	and	CCONJ
fbem-21461	44	28	the	the	DET
fbem-21461	44	29	maximum	maximum	ADJ
fbem-21461	44	30	capacity	capacity	NOUN
fbem-21461	44	31	state	state	NOUN
fbem-21461	44	32	of	of	ADP
fbem-21461	44	33	eiu	eiu	PROPN
fbem-21461	44	34	,	,	PUNCT
fbem-21461	44	35	respectively	respectively	ADV
fbem-21461	44	36	.	.	PUNCT
fbem-21461	45	1	when	when	SCONJ
fbem-21461	45	2	a	a	DET
fbem-21461	45	3	carrier	carrier	NOUN
fbem-21461	45	4	eiu	eiu	PROPN
fbem-21461	45	5	is	be	AUX
fbem-21461	45	6	selected	select	VERB
fbem-21461	45	7	to	to	PART
fbem-21461	45	8	provide	provide	VERB
fbem-21461	45	9	transportation	transportation	NOUN
fbem-21461	45	10	services	service	NOUN
fbem-21461	45	11	for	for	ADP
fbem-21461	45	12	r	r	NOUN
fbem-21461	45	13	i	i	PRON
fbem-21461	45	14	,	,	PUNCT
fbem-21461	45	15	assuming	assume	VERB
fbem-21461	45	16	xi	xi	X
fbem-21461	45	17	=	=	SYM
fbem-21461	45	18	u	u	PROPN
fbem-21461	45	19	,	,	PUNCT
fbem-21461	45	20	a	a	DET
fbem-21461	45	21	carrier	carrier	NOUN
fbem-21461	45	22	selection	selection	NOUN
fbem-21461	45	23	can	can	AUX
fbem-21461	45	24	be	be	AUX
fbem-21461	45	25	represented	represent	VERB
fbem-21461	45	26	as	as	ADP
fbem-21461	45	27	x	x	X
fbem-21461	45	28	=	=	SYM
fbem-21461	45	29	(	(	PUNCT
fbem-21461	45	30	x1	x1	PROPN
fbem-21461	45	31	,	,	PUNCT
fbem-21461	45	32	x2	x2	PROPN
fbem-21461	45	33	,	,	PUNCT
fbem-21461	45	34	...	...	PUNCT
fbem-21461	45	35	,	,	PUNCT
fbem-21461	45	36	xn	xn	PROPN
fbem-21461	45	37	)	)	PUNCT
fbem-21461	45	38	.	.	PUNCT
fbem-21461	46	1	under	under	ADP
fbem-21461	46	2	the	the	DET
fbem-21461	46	3	carrier	carrier	NOUN
fbem-21461	46	4	selection	selection	NOUN
fbem-21461	46	5	x	x	PRON
fbem-21461	46	6	can	can	AUX
fbem-21461	46	7	be	be	AUX
fbem-21461	46	8	defined	define	VERB
fbem-21461	46	9	the	the	DET
fbem-21461	46	10	corresponding	corresponding	ADJ
fbem-21461	46	11	spoilage	spoilage	NOUN
fbem-21461	46	12	pattern	pattern	NOUN
fbem-21461	46	13	of	of	ADP
fbem-21461	46	14	the	the	DET
fbem-21461	46	15	network	network	NOUN
fbem-21461	46	16	a(x	a(x	NOUN
fbem-21461	46	17	)	)	PUNCT
fbem-21461	46	18	=	=	SYM
fbem-21461	46	19	(	(	PUNCT
fbem-21461	46	20	a1u	a1u	PROPN
fbem-21461	46	21	,	,	PUNCT
fbem-21461	46	22	a2u	a2u	ADV
fbem-21461	46	23	,	,	PUNCT
fbem-21461	46	24	...	...	PUNCT
fbem-21461	46	25	,	,	PUNCT
fbem-21461	46	26	anu	anu	PROPN
fbem-21461	46	27	)	)	PUNCT
fbem-21461	46	28	,	,	PUNCT
fbem-21461	46	29	the	the	DET
fbem-21461	46	30	capacity	capacity	NOUN
fbem-21461	46	31	probability	probability	NOUN
fbem-21461	46	32	distribution	distribution	NOUN
fbem-21461	46	33	b(x	b(x	NOUN
fbem-21461	46	34	)	)	PUNCT
fbem-21461	46	35	=	=	PRON
fbem-21461	46	36	{	{	PUNCT
fbem-21461	46	37	b1u	b1u	PART
fbem-21461	46	38	,	,	PUNCT
fbem-21461	46	39	b2u	b2u	ADP
fbem-21461	46	40	,	,	PUNCT
fbem-21461	46	41	...	...	PUNCT
fbem-21461	46	42	,	,	PUNCT
fbem-21461	46	43	bnu	bnu	NOUN
fbem-21461	46	44	}	}	PUNCT
fbem-21461	46	45	and	and	CCONJ
fbem-21461	46	46	the	the	DET
fbem-21461	46	47	transportation	transportation	NOUN
fbem-21461	46	48	cost	cost	NOUN
fbem-21461	46	49	model	model	NOUN
fbem-21461	46	50	o(x	o(x	PROPN
fbem-21461	46	51	)	)	PUNCT
fbem-21461	46	52	=	=	SYM
fbem-21461	46	53	(	(	PUNCT
fbem-21461	46	54	o1u	o1u	PROPN
fbem-21461	46	55	,	,	PUNCT
fbem-21461	46	56	o2u	o2u	PROPN
fbem-21461	46	57	,	,	PUNCT
fbem-21461	46	58	...	...	PUNCT
fbem-21461	46	59	,	,	PUNCT
fbem-21461	46	60	onu	onu	PROPN
fbem-21461	46	61	)	)	PUNCT
fbem-21461	46	62	.	.	PUNCT
fbem-21461	47	1	the	the	DET
fbem-21461	47	2	network	network	NOUN
fbem-21461	47	3	model	model	NOUN
fbem-21461	47	4	in	in	ADP
fbem-21461	47	5	this	this	DET
fbem-21461	47	6	paper	paper	NOUN
fbem-21461	47	7	need	need	VERB
fbem-21461	47	8	to	to	PART
fbem-21461	47	9	fulfill	fulfill	VERB
fbem-21461	47	10	the	the	DET
fbem-21461	47	11	following	follow	VERB
fbem-21461	47	12	assumptions	assumption	NOUN
fbem-21461	47	13	:	:	PUNCT
fbem-21461	47	14	1	1	X
fbem-21461	47	15	.	.	X
fbem-21461	47	16	flow	flow	VERB
fbem-21461	47	17	in	in	ADP
fbem-21461	47	18	q	q	PROPN
fbem-21461	47	19	(	(	PUNCT
fbem-21461	47	20	v	v	NOUN
fbem-21461	47	21	,	,	PUNCT
fbem-21461	47	22	r	r	NOUN
fbem-21461	47	23	)	)	PUNCT
fbem-21461	47	24	must	must	AUX
fbem-21461	47	25	satisfy	satisfy	VERB
fbem-21461	47	26	the	the	DET
fbem-21461	47	27	flow	flow	NOUN
fbem-21461	47	28	-	-	PUNCT
fbem-21461	47	29	conservation	conservation	NOUN
fbem-21461	47	30	law	law	NOUN
fbem-21461	47	31	.	.	PUNCT
fbem-21461	48	1	2	2	X
fbem-21461	48	2	.	.	X
fbem-21461	48	3	the	the	DET
fbem-21461	48	4	capacities	capacity	NOUN
fbem-21461	48	5	of	of	ADP
fbem-21461	48	6	the	the	DET
fbem-21461	48	7	various	various	ADJ
fbem-21461	48	8	carriers	carrier	NOUN
fbem-21461	48	9	are	be	AUX
fbem-21461	48	10	statistically	statistically	ADV
fbem-21461	48	11	independent	independent	ADJ
fbem-21461	48	12	.	.	PUNCT
fbem-21461	49	1	3	3	X
fbem-21461	49	2	.	.	X
fbem-21461	49	3	only	only	ADV
fbem-21461	49	4	one	one	NUM
fbem-21461	49	5	carrier	carrier	NOUN
fbem-21461	49	6	provides	provide	VERB
fbem-21461	49	7	service	service	NOUN
fbem-21461	49	8	on	on	ADP
fbem-21461	49	9	each	each	DET
fbem-21461	49	10	route	route	NOUN
fbem-21461	49	11	.	.	PUNCT
fbem-21461	50	1	4	4	X
fbem-21461	50	2	.	.	X
fbem-21461	50	3	flow	flow	VERB
fbem-21461	50	4	in	in	ADP
fbem-21461	50	5	q	q	PROPN
fbem-21461	50	6	(	(	PUNCT
fbem-21461	50	7	v	v	NOUN
fbem-21461	50	8	,	,	PUNCT
fbem-21461	50	9	r	r	NOUN
fbem-21461	50	10	)	)	PUNCT
fbem-21461	50	11	is	be	AUX
fbem-21461	50	12	non	non	ADJ
fbem-21461	50	13	-	-	ADJ
fbem-21461	50	14	negative	negative	ADJ
fbem-21461	50	15	integer	integer	NOUN
fbem-21461	50	16	values	value	NOUN
fbem-21461	50	17	.	.	PUNCT
fbem-21461	51	1	2.2	2.2	NUM
fbem-21461	51	2	.	.	PUNCT
fbem-21461	52	1	problem	problem	NOUN
fbem-21461	52	2	description	description	NOUN
fbem-21461	52	3	in	in	ADP
fbem-21461	52	4	a	a	DET
fbem-21461	52	5	multi	multi	ADJ
fbem-21461	52	6	-	-	ADJ
fbem-21461	52	7	distributed	distributed	ADJ
fbem-21461	52	8	multi	multi	ADJ
fbem-21461	52	9	-	-	ADJ
fbem-21461	52	10	state	state	ADJ
fbem-21461	52	11	network	network	NOUN
fbem-21461	52	12	,	,	PUNCT
fbem-21461	52	13	x	x	SYM
fbem-21461	52	14	=	=	SYM
fbem-21461	52	15	(	(	PUNCT
fbem-21461	52	16	x1	x1	PROPN
fbem-21461	52	17	,	,	PUNCT
fbem-21461	52	18	x2	x2	PROPN
fbem-21461	52	19	,	,	PUNCT
fbem-21461	52	20	...	...	PUNCT
fbem-21461	52	21	,	,	PUNCT
fbem-21461	52	22	xn	xn	X
fbem-21461	52	23	)	)	PUNCT
fbem-21461	52	24	denotes	denote	VERB
fbem-21461	52	25	the	the	DET
fbem-21461	52	26	designation	designation	NOUN
fbem-21461	52	27	of	of	ADP
fbem-21461	52	28	a	a	DET
fbem-21461	52	29	carrier	carrier	NOUN
fbem-21461	52	30	on	on	ADP
fbem-21461	52	31	each	each	DET
fbem-21461	52	32	route	route	NOUN
fbem-21461	52	33	to	to	PART
fbem-21461	52	34	provide	provide	VERB
fbem-21461	52	35	transportation	transportation	NOUN
fbem-21461	52	36	services	service	NOUN
fbem-21461	52	37	.	.	PUNCT
fbem-21461	53	1	thus	thus	ADV
fbem-21461	53	2	,	,	PUNCT
fbem-21461	53	3	given	give	VERB
fbem-21461	53	4	a	a	DET
fbem-21461	53	5	carrier	carrier	NOUN
fbem-21461	53	6	selection	selection	NOUN
fbem-21461	53	7	x	x	NOUN
fbem-21461	53	8	,	,	PUNCT
fbem-21461	53	9	a	a	DET
fbem-21461	53	10	multi	multi	ADJ
fbem-21461	53	11	-	-	ADJ
fbem-21461	53	12	distribution	distribution	ADJ
fbem-21461	53	13	multi	multi	ADJ
fbem-21461	53	14	-	-	ADJ
fbem-21461	53	15	state	state	ADJ
fbem-21461	53	16	network	network	NOUN
fbem-21461	53	17	can	can	AUX
fbem-21461	53	18	be	be	AUX
fbem-21461	53	19	simplified	simplify	VERB
fbem-21461	53	20	to	to	ADP
fbem-21461	53	21	a	a	DET
fbem-21461	53	22	multi	multi	ADJ
fbem-21461	53	23	-	-	ADJ
fbem-21461	53	24	state	state	ADJ
fbem-21461	53	25	network	network	NOUN
fbem-21461	53	26	with	with	ADP
fbem-21461	53	27	a	a	DET
fbem-21461	53	28	deterministic	deterministic	ADJ
fbem-21461	53	29	capacity	capacity	NOUN
fbem-21461	53	30	probability	probability	NOUN
fbem-21461	53	31	distribution	distribution	NOUN
fbem-21461	53	32	b(x	b(x	NOUN
fbem-21461	53	33	)	)	PUNCT
fbem-21461	53	34	,	,	PUNCT
fbem-21461	53	35	a	a	DET
fbem-21461	53	36	spoilage	spoilage	NOUN
fbem-21461	53	37	pattern	pattern	NOUN
fbem-21461	53	38	a(x	a(x	NOUN
fbem-21461	53	39	)	)	PUNCT
fbem-21461	53	40	,	,	PUNCT
fbem-21461	53	41	and	and	CCONJ
fbem-21461	53	42	cost	cost	NOUN
fbem-21461	53	43	pattern	pattern	NOUN
fbem-21461	53	44	o(x	o(x	PROPN
fbem-21461	53	45	)	)	PUNCT
fbem-21461	53	46	.	.	PUNCT
fbem-21461	54	1	given	give	VERB
fbem-21461	54	2	a	a	DET
fbem-21461	54	3	market	market	NOUN
fbem-21461	54	4	demand	demand	NOUN
fbem-21461	54	5	vector	vector	NOUN
fbem-21461	54	6	d	d	PROPN
fbem-21461	54	7	,	,	PUNCT
fbem-21461	54	8	the	the	DET
fbem-21461	54	9	network	network	NOUN
fbem-21461	54	10	reliability	reliability	PROPN
fbem-21461	54	11	rd	rd	PROPN
fbem-21461	54	12	,	,	PUNCT
fbem-21461	54	13	a(x),c	a(x),c	PROPN
fbem-21461	54	14	considering	consider	VERB
fbem-21461	54	15	delivery	delivery	NOUN
fbem-21461	54	16	spoilage	spoilage	NOUN
fbem-21461	54	17	and	and	CCONJ
fbem-21461	54	18	cost	cost	NOUN
fbem-21461	54	19	constraint	constraint	NOUN
fbem-21461	54	20	under	under	ADP
fbem-21461	54	21	carrier	carrier	NOUN
fbem-21461	54	22	selection	selection	NOUN
fbem-21461	54	23	x	x	PUNCT
fbem-21461	54	24	is	be	AUX
fbem-21461	54	25	the	the	DET
fbem-21461	54	26	probability	probability	NOUN
fbem-21461	54	27	that	that	SCONJ
fbem-21461	54	28	a	a	DET
fbem-21461	54	29	flow	flow	NOUN
fbem-21461	54	30	of	of	ADP
fbem-21461	54	31	intact	intact	ADJ
fbem-21461	54	32	commodity	commodity	NOUN
fbem-21461	54	33	successfully	successfully	ADV
fbem-21461	54	34	transported	transport	VERB
fbem-21461	54	35	from	from	ADP
fbem-21461	54	36	the	the	DET
fbem-21461	54	37	source	source	NOUN
fbem-21461	54	38	to	to	ADP
fbem-21461	54	39	multiple	multiple	ADJ
fbem-21461	54	40	sinks	sink	NOUN
fbem-21461	54	41	can	can	AUX
fbem-21461	54	42	satisfy	satisfy	VERB
fbem-21461	54	43	the	the	DET
fbem-21461	54	44	demand	demand	NOUN
fbem-21461	54	45	vector	vector	NOUN
fbem-21461	54	46	d	d	NOUN
fbem-21461	54	47	and	and	CCONJ
fbem-21461	54	48	the	the	DET
fbem-21461	54	49	total	total	ADJ
fbem-21461	54	50	cost	cost	NOUN
fbem-21461	54	51	does	do	AUX
fbem-21461	54	52	not	not	PART
fbem-21461	54	53	exceed	exceed	VERB
fbem-21461	54	54	the	the	DET
fbem-21461	54	55	cost	cost	NOUN
fbem-21461	54	56	constraint	constraint	NOUN
fbem-21461	54	57	.	.	PUNCT
fbem-21461	55	1	therefore	therefore	ADV
fbem-21461	55	2	,	,	PUNCT
fbem-21461	55	3	the	the	DET
fbem-21461	55	4	problem	problem	NOUN
fbem-21461	55	5	of	of	ADP
fbem-21461	55	6	interest	interest	NOUN
fbem-21461	55	7	in	in	ADP
fbem-21461	55	8	this	this	DET
fbem-21461	55	9	paper	paper	NOUN
fbem-21461	55	10	is	be	AUX
fbem-21461	55	11	to	to	PART
fbem-21461	55	12	determine	determine	VERB
fbem-21461	55	13	the	the	DET
fbem-21461	55	14	optimal	optimal	ADJ
fbem-21461	55	15	carrier	carrier	NOUN
fbem-21461	55	16	choice	choice	NOUN
fbem-21461	55	17	in	in	ADP
fbem-21461	55	18	a	a	DET
fbem-21461	55	19	multi	multi	ADJ
fbem-21461	55	20	-	-	ADJ
fbem-21461	55	21	distributed	distributed	ADJ
fbem-21461	55	22	multi	multi	ADJ
fbem-21461	55	23	-	-	ADJ
fbem-21461	55	24	state	state	ADJ
fbem-21461	55	25	network	network	NOUN
fbem-21461	55	26	and	and	CCONJ
fbem-21461	55	27	to	to	PART
fbem-21461	55	28	maximize	maximize	VERB
fbem-21461	55	29	the	the	DET
fbem-21461	55	30	network	network	NOUN
fbem-21461	55	31	reliability	reliability	PROPN
fbem-21461	55	32	rd	rd	PROPN
fbem-21461	55	33	,	,	PUNCT
fbem-21461	55	34	a(x),c	a(x),c	PROPN
fbem-21461	55	35	considering	consider	VERB
fbem-21461	55	36	delivery	delivery	NOUN
fbem-21461	55	37	spoilage	spoilage	NOUN
fbem-21461	55	38	and	and	CCONJ
fbem-21461	55	39	cost	cost	NOUN
fbem-21461	55	40	constraint	constraint	NOUN
fbem-21461	55	41	.	.	PUNCT
fbem-21461	56	1	given	give	VERB
fbem-21461	56	2	the	the	DET
fbem-21461	56	3	market	market	NOUN
fbem-21461	56	4	demand	demand	NOUN
fbem-21461	56	5	vector	vector	NOUN
fbem-21461	56	6	d	d	PROPN
fbem-21461	56	7	,	,	PUNCT
fbem-21461	56	8	the	the	DET
fbem-21461	56	9	model	model	NOUN
fbem-21461	56	10	of	of	ADP
fbem-21461	56	11	carrier	carrier	NOUN
fbem-21461	56	12	selection	selection	NOUN
fbem-21461	56	13	based	base	VERB
fbem-21461	56	14	on	on	ADP
fbem-21461	56	15	network	network	NOUN
fbem-21461	56	16	reliability	reliability	NOUN
fbem-21461	56	17	under	under	ADP
fbem-21461	56	18	delivery	delivery	NOUN
fbem-21461	56	19	spoilage	spoilage	NOUN
fbem-21461	56	20	and	and	CCONJ
fbem-21461	56	21	cost	cost	NOUN
fbem-21461	56	22	constraint	constraint	NOUN
fbem-21461	56	23	is	be	AUX
fbem-21461	56	24	as	as	SCONJ
fbem-21461	56	25	follows	follow	VERB
fbem-21461	56	26	:	:	PUNCT
fbem-21461	56	27	maximize	maximize	VERB
fbem-21461	56	28	rd	rd	PROPN
fbem-21461	56	29	,	,	PUNCT
fbem-21461	56	30	a(x),c	a(x),c	PROPN
fbem-21461	56	31	(	(	PUNCT
fbem-21461	56	32	1	1	X
fbem-21461	56	33	)	)	PUNCT
fbem-21461	56	34	s.t	s.t	PROPN
fbem-21461	56	35	.	.	PROPN
fbem-21461	56	36	xi	xi	PROPN
fbem-21461	56	37	=	=	SYM
fbem-21461	56	38	u	u	PROPN
fbem-21461	56	39	,	,	PUNCT
fbem-21461	56	40	u{1	u{1	NOUN
fbem-21461	56	41	,	,	PUNCT
fbem-21461	56	42	2	2	NUM
fbem-21461	56	43	,	,	PUNCT
fbem-21461	56	44	...	...	PUNCT
fbem-21461	56	45	,	,	PUNCT
fbem-21461	56	46	zi	zi	NOUN
fbem-21461	56	47	}	}	PUNCT
fbem-21461	56	48	;	;	PUNCT
fbem-21461	56	49	i	i	NOUN
fbem-21461	56	50	=	=	NOUN
fbem-21461	56	51	1	1	NUM
fbem-21461	56	52	,	,	PUNCT
fbem-21461	56	53	2	2	NUM
fbem-21461	56	54	,	,	PUNCT
fbem-21461	56	55	...	...	PUNCT
fbem-21461	56	56	,	,	PUNCT
fbem-21461	56	57	n	n	CCONJ
fbem-21461	56	58	(	(	PUNCT
fbem-21461	56	59	2	2	NUM
fbem-21461	56	60	)	)	PUNCT
fbem-21461	56	61	condition	condition	NOUN
fbem-21461	56	62	(	(	PUNCT
fbem-21461	56	63	1	1	X
fbem-21461	56	64	)	)	PUNCT
fbem-21461	56	65	represents	represent	VERB
fbem-21461	56	66	the	the	DET
fbem-21461	56	67	maximum	maximum	ADJ
fbem-21461	56	68	network	network	NOUN
fbem-21461	56	69	reliability	reliability	NOUN
fbem-21461	56	70	corresponding	correspond	VERB
fbem-21461	56	71	to	to	ADP
fbem-21461	56	72	the	the	DET
fbem-21461	56	73	optimal	optimal	ADJ
fbem-21461	56	74	carrier	carrier	NOUN
fbem-21461	56	75	selection	selection	NOUN
fbem-21461	56	76	.	.	PUNCT
fbem-21461	57	1	condition	condition	NOUN
fbem-21461	57	2	(	(	PUNCT
fbem-21461	57	3	2	2	X
fbem-21461	57	4	)	)	PUNCT
fbem-21461	57	5	is	be	AUX
fbem-21461	57	6	designed	design	VERB
fbem-21461	57	7	to	to	PART
fbem-21461	57	8	ensure	ensure	VERB
fbem-21461	57	9	that	that	SCONJ
fbem-21461	57	10	each	each	DET
fbem-21461	57	11	route	route	NOUN
fbem-21461	57	12	is	be	AUX
fbem-21461	57	13	served	serve	VERB
fbem-21461	57	14	by	by	ADP
fbem-21461	57	15	only	only	ADV
fbem-21461	57	16	one	one	NUM
fbem-21461	57	17	carrier	carrier	NOUN
fbem-21461	57	18	.	.	PUNCT
fbem-21461	58	1	3	3	X
fbem-21461	58	2	.	.	X
fbem-21461	58	3	network	network	NOUN
fbem-21461	58	4	reliability	reliability	NOUN
fbem-21461	58	5	calculation	calculation	NOUN
fbem-21461	58	6	under	under	ADP
fbem-21461	58	7	delivery	delivery	NOUN
fbem-21461	58	8	spoilage	spoilage	NOUN
fbem-21461	58	9	and	and	CCONJ
fbem-21461	58	10	cost	cost	NOUN
fbem-21461	58	11	constraint	constraint	NOUN
fbem-21461	58	12	when	when	SCONJ
fbem-21461	58	13	given	give	VERB
fbem-21461	58	14	a	a	DET
fbem-21461	58	15	carrier	carrier	NOUN
fbem-21461	58	16	selection	selection	NOUN
fbem-21461	58	17	x	x	NOUN
fbem-21461	58	18	,	,	PUNCT
fbem-21461	58	19	a	a	DET
fbem-21461	58	20	multi	multi	ADJ
fbem-21461	58	21	-	-	ADJ
fbem-21461	58	22	distributed	distributed	ADJ
fbem-21461	58	23	multistate	multistate	NOUN
fbem-21461	58	24	network	network	NOUN
fbem-21461	58	25	can	can	AUX
fbem-21461	58	26	be	be	AUX
fbem-21461	58	27	simplified	simplify	VERB
fbem-21461	58	28	to	to	ADP
fbem-21461	58	29	a	a	DET
fbem-21461	58	30	multi	multi	ADJ
fbem-21461	58	31	-	-	ADJ
fbem-21461	58	32	state	state	ADJ
fbem-21461	58	33	network	network	NOUN
fbem-21461	58	34	with	with	ADP
fbem-21461	58	35	a	a	DET
fbem-21461	58	36	specific	specific	ADJ
fbem-21461	58	37	capacity	capacity	NOUN
fbem-21461	58	38	probability	probability	NOUN
fbem-21461	58	39	distribution	distribution	NOUN
fbem-21461	58	40	b(x	b(x	NOUN
fbem-21461	58	41	)	)	PUNCT
fbem-21461	58	42	,	,	PUNCT
fbem-21461	58	43	spoilage	spoilage	VERB
fbem-21461	58	44	pattern	pattern	NOUN
fbem-21461	58	45	a(x	a(x	NOUN
fbem-21461	58	46	)	)	PUNCT
fbem-21461	58	47	,	,	PUNCT
fbem-21461	58	48	and	and	CCONJ
fbem-21461	58	49	cost	cost	NOUN
fbem-21461	58	50	pattern	pattern	NOUN
fbem-21461	58	51	o(x	o(x	PROPN
fbem-21461	58	52	)	)	PUNCT
fbem-21461	58	53	.	.	PUNCT
fbem-21461	59	1	therefore	therefore	ADV
fbem-21461	59	2	,	,	PUNCT
fbem-21461	59	3	this	this	DET
fbem-21461	59	4	section	section	NOUN
fbem-21461	59	5	investigates	investigate	VERB
fbem-21461	59	6	the	the	DET
fbem-21461	59	7	problem	problem	NOUN
fbem-21461	59	8	of	of	ADP
fbem-21461	59	9	calculating	calculate	VERB
fbem-21461	59	10	the	the	DET
fbem-21461	59	11	reliability	reliability	NOUN
fbem-21461	59	12	of	of	ADP
fbem-21461	59	13	multistate	multistate	NOUN
fbem-21461	59	14	networks	network	NOUN
fbem-21461	59	15	with	with	ADP
fbem-21461	59	16	consideration	consideration	NOUN
fbem-21461	59	17	of	of	ADP
fbem-21461	59	18	delivery	delivery	NOUN
fbem-21461	59	19	spoilage	spoilage	NOUN
fbem-21461	59	20	and	and	CCONJ
fbem-21461	59	21	cost	cost	NOUN
fbem-21461	59	22	constraint	constraint	NOUN
fbem-21461	59	23	.	.	PUNCT
fbem-21461	60	1	3.1	3.1	NUM
fbem-21461	60	2	.	.	PUNCT
fbem-21461	60	3	flow	flow	NOUN
fbem-21461	60	4	direction	direction	NOUN
fbem-21461	60	5	conversion	conversion	NOUN
fbem-21461	60	6	assuming	assume	VERB
fbem-21461	60	7	that	that	SCONJ
fbem-21461	60	8	pφ	pφ	ADP
fbem-21461	60	9	,	,	PUNCT
fbem-21461	60	10	j	j	PROPN
fbem-21461	60	11	is	be	AUX
fbem-21461	60	12	the	the	DET
fbem-21461	60	13	jth	jth	PROPN
fbem-21461	60	14	minimal	minimal	ADJ
fbem-21461	60	15	path	path	NOUN
fbem-21461	60	16	connecting	connect	VERB
fbem-21461	60	17	the	the	DET
fbem-21461	60	18	source	source	NOUN
fbem-21461	60	19	s	s	VERB
fbem-21461	60	20	to	to	ADP
fbem-21461	60	21	the	the	DET
fbem-21461	60	22	sink	sink	PROPN
fbem-21461	60	23	tφ	tφ	PROPN
fbem-21461	60	24	,	,	PUNCT
fbem-21461	60	25	where	where	SCONJ
fbem-21461	60	26	j	j	PROPN
fbem-21461	60	27	=	=	SYM
fbem-21461	60	28	1	1	NUM
fbem-21461	60	29	,	,	PUNCT
fbem-21461	60	30	2	2	NUM
fbem-21461	60	31	,	,	PUNCT
fbem-21461	60	32	...	...	PUNCT
fbem-21461	60	33	,	,	PUNCT
fbem-21461	60	34	mφ	mφ	PROPN
fbem-21461	60	35	,	,	PUNCT
fbem-21461	60	36	then	then	ADV
fbem-21461	60	37	the	the	DET
fbem-21461	60	38	vector	vector	NOUN
fbem-21461	60	39	f	f	PROPN
fbem-21461	61	1	=	=	SYM
fbem-21461	61	2	(	(	PUNCT
fbem-21461	61	3	f1,1	f1,1	PROPN
fbem-21461	61	4	,	,	PUNCT
fbem-21461	61	5	…	…	PUNCT
fbem-21461	61	6	,	,	PUNCT
fbem-21461	61	7	f1,m1	f1,m1	PROPN
fbem-21461	61	8	,	,	PUNCT
fbem-21461	61	9	f	f	PROPN
fbem-21461	61	10	2,m2	2,m2	NUM
fbem-21461	61	11	,	,	PUNCT
fbem-21461	61	12	…	…	PUNCT
fbem-21461	61	13	,	,	PUNCT
fbem-21461	61	14	fφ,1	fφ,1	PROPN
fbem-21461	61	15	,	,	PUNCT
fbem-21461	61	16	…	…	PUNCT
fbem-21461	61	17	,	,	PUNCT
fbem-21461	61	18	f	f	PROPN
fbem-21461	61	19	,	,	PUNCT
fbem-21461	61	20	mt	mt	PROPN
fbem-21461	61	21	,	,	PUNCT
fbem-21461	61	22	…	…	PUNCT
fbem-21461	61	23	,	,	PUNCT
fbem-21461	61	24	ft,1	ft,1	PROPN
fbem-21461	61	25	,	,	PUNCT
fbem-21461	61	26	…	…	NUM
fbem-21461	61	27	,	,	PUNCT
fbem-21461	61	28	ft	ft	PROPN
fbem-21461	61	29	,	,	PUNCT
fbem-21461	61	30	mt	mt	PROPN
fbem-21461	61	31	)	)	PUNCT
fbem-21461	61	32	denote	denote	VERB
fbem-21461	61	33	the	the	DET
fbem-21461	61	34	ideal	ideal	ADJ
fbem-21461	61	35	flow	flow	NOUN
fbem-21461	61	36	vectors	vector	NOUN
fbem-21461	61	37	in	in	ADP
fbem-21461	61	38	the	the	DET
fbem-21461	61	39	network	network	NOUN
fbem-21461	61	40	,	,	PUNCT
fbem-21461	61	41	where	where	SCONJ
fbem-21461	61	42	fφ	fφ	PROPN
fbem-21461	61	43	,	,	PUNCT
fbem-21461	61	44	j	j	PROPN
fbem-21461	61	45	is	be	AUX
fbem-21461	61	46	the	the	DET
fbem-21461	61	47	ideal	ideal	ADJ
fbem-21461	61	48	commodity	commodity	NOUN
fbem-21461	61	49	flow	flow	NOUN
fbem-21461	61	50	through	through	ADP
fbem-21461	61	51	pφ	pφ	ADP
fbem-21461	61	52	,	,	PUNCT
fbem-21461	61	53	j	j	PROPN
fbem-21461	61	54	without	without	ADP
fbem-21461	61	55	considering	consider	VERB
fbem-21461	61	56	the	the	DET
fbem-21461	61	57	delivery	delivery	NOUN
fbem-21461	61	58	spoilage	spoilage	NOUN
fbem-21461	61	59	.	.	PUNCT
fbem-21461	62	1	given	give	VERB
fbem-21461	62	2	a	a	DET
fbem-21461	62	3	market	market	NOUN
fbem-21461	62	4	demand	demand	NOUN
fbem-21461	62	5	vector	vector	NOUN
fbem-21461	62	6	d	d	NOUN
fbem-21461	62	7	=	=	SYM
fbem-21461	62	8	(	(	PUNCT
fbem-21461	62	9	d1	d1	PROPN
fbem-21461	62	10	,	,	PUNCT
fbem-21461	62	11	d2	d2	PROPN
fbem-21461	62	12	,	,	PUNCT
fbem-21461	62	13	...	...	PUNCT
fbem-21461	62	14	,	,	PUNCT
fbem-21461	62	15	dt	dt	PROPN
fbem-21461	62	16	)	)	PUNCT
fbem-21461	62	17	,	,	PUNCT
fbem-21461	62	18	where	where	SCONJ
fbem-21461	62	19	dφ	dφ	ADP
fbem-21461	62	20	denotes	denote	VERB
fbem-21461	62	21	the	the	DET
fbem-21461	62	22	demand	demand	NOUN
fbem-21461	62	23	in	in	ADP
fbem-21461	62	24	market	market	NOUN
fbem-21461	62	25	tφ	tφ	PROPN
fbem-21461	62	26	,	,	PUNCT
fbem-21461	62	27	the	the	DET
fbem-21461	62	28	ideal	ideal	ADJ
fbem-21461	62	29	flow	flow	NOUN
fbem-21461	62	30	vector	vector	NOUN
fbem-21461	62	31	f	f	PROPN
fbem-21461	62	32	exactly	exactly	ADV
fbem-21461	62	33	satisfies	satisfy	VERB
fbem-21461	62	34	the	the	DET
fbem-21461	62	35	market	market	NOUN
fbem-21461	62	36	demand	demand	NOUN
fbem-21461	62	37	vector	vector	NOUN
fbem-21461	63	1	d	d	NOUN
fbem-21461	63	2	if	if	SCONJ
fbem-21461	63	3	and	and	CCONJ
fbem-21461	63	4	only	only	ADV
fbem-21461	63	5	if	if	SCONJ
fbem-21461	63	6	the	the	DET
fbem-21461	63	7	following	follow	VERB
fbem-21461	63	8	equation	equation	NOUN
fbem-21461	63	9	is	be	AUX
fbem-21461	63	10	satisfied	satisfied	ADJ
fbem-21461	63	11	.	.	PUNCT
fbem-21461	64	1	∑	∑	PROPN
fbem-21461	64	2	f	f	PROPN
fbem-21461	64	3	φ	φ	PROPN
fbem-21461	64	4	,	,	PUNCT
fbem-21461	64	5	j	j	PROPN
fbem-21461	64	6	mφ	mφ	INTJ
fbem-21461	64	7	j=1	j=1	PROPN
fbem-21461	65	1	=	=	PUNCT
fbem-21461	65	2	dφ	dφ	PROPN
fbem-21461	65	3	,	,	PUNCT
fbem-21461	65	4	φ	φ	NOUN
fbem-21461	65	5	=	=	SYM
fbem-21461	65	6	1	1	NUM
fbem-21461	65	7	,	,	PUNCT
fbem-21461	65	8	2	2	NUM
fbem-21461	65	9	,	,	PUNCT
fbem-21461	65	10	...	...	PUNCT
fbem-21461	65	11	,	,	PUNCT
fbem-21461	65	12	t	t	PROPN
fbem-21461	65	13	(	(	PUNCT
fbem-21461	65	14	3	3	NUM
fbem-21461	65	15	)	)	PUNCT
fbem-21461	65	16	equation	equation	NOUN
fbem-21461	65	17	(	(	PUNCT
fbem-21461	65	18	3	3	X
fbem-21461	65	19	)	)	PUNCT
fbem-21461	65	20	indicates	indicate	VERB
fbem-21461	65	21	that	that	SCONJ
fbem-21461	65	22	,	,	PUNCT
fbem-21461	65	23	without	without	ADP
fbem-21461	65	24	considering	consider	VERB
fbem-21461	65	25	delivery	delivery	NOUN
fbem-21461	65	26	spoilage	spoilage	NOUN
fbem-21461	65	27	,	,	PUNCT
fbem-21461	65	28	the	the	DET
fbem-21461	65	29	ideal	ideal	ADJ
fbem-21461	65	30	commodity	commodity	NOUN
fbem-21461	65	31	flow	flow	NOUN
fbem-21461	65	32	arriving	arrive	VERB
fbem-21461	65	33	at	at	ADP
fbem-21461	65	34	the	the	DET
fbem-21461	65	35	destination	destination	NOUN
fbem-21461	65	36	tφ	tφ	PROPN
fbem-21461	65	37	is	be	AUX
fbem-21461	65	38	exactly	exactly	ADV
fbem-21461	65	39	equal	equal	ADJ
fbem-21461	65	40	to	to	ADP
fbem-21461	65	41	the	the	DET
fbem-21461	65	42	market	market	NOUN
fbem-21461	65	43	demand	demand	NOUN
fbem-21461	65	44	dφ	dφ	ADP
fbem-21461	65	45	however	however	ADV
fbem-21461	65	46	,	,	PUNCT
fbem-21461	65	47	commodity	commodity	NOUN
fbem-21461	65	48	may	may	AUX
fbem-21461	65	49	have	have	VERB
fbem-21461	65	50	spoilage	spoilage	NOUN
fbem-21461	65	51	during	during	ADP
fbem-21461	65	52	transportation	transportation	NOUN
fbem-21461	65	53	due	due	ADP
fbem-21461	65	54	to	to	ADP
fbem-21461	65	55	weather	weather	NOUN
fbem-21461	65	56	or	or	CCONJ
fbem-21461	65	57	collisions	collision	NOUN
fbem-21461	65	58	,	,	PUNCT
fbem-21461	65	59	resulting	result	VERB
fbem-21461	65	60	in	in	ADP
fbem-21461	65	61	the	the	DET
fbem-21461	65	62	quantity	quantity	NOUN
fbem-21461	65	63	of	of	ADP
fbem-21461	65	64	intact	intact	ADJ
fbem-21461	65	65	commodity	commodity	NOUN
fbem-21461	65	66	arriving	arrive	VERB
fbem-21461	65	67	at	at	ADP
fbem-21461	65	68	the	the	DET
fbem-21461	65	69	sink	sink	NOUN
fbem-21461	65	70	may	may	AUX
fbem-21461	65	71	not	not	PART
fbem-21461	65	72	meet	meet	VERB
fbem-21461	65	73	the	the	DET
fbem-21461	65	74	market	market	NOUN
fbem-21461	65	75	demand	demand	NOUN
fbem-21461	65	76	.	.	PUNCT
fbem-21461	66	1	based	base	VERB
fbem-21461	66	2	on	on	ADP
fbem-21461	66	3	the	the	DET
fbem-21461	66	4	spoilage	spoilage	NOUN
fbem-21461	66	5	rate	rate	NOUN
fbem-21461	66	6	aiu	aiu	PROPN
fbem-21461	66	7	for	for	ADP
fbem-21461	66	8	each	each	DET
fbem-21461	66	9	route	route	NOUN
fbem-21461	66	10	,	,	PUNCT
fbem-21461	66	11	the	the	DET
fbem-21461	66	12	delivery	delivery	NOUN
fbem-21461	66	13	spoilage	spoilage	NOUN
fbem-21461	66	14	rate	rate	NOUN
fbem-21461	66	15	aφ	aφ	NOUN
fbem-21461	66	16	,	,	PUNCT
fbem-21461	66	17	j	j	PROPN
fbem-21461	66	18	for	for	ADP
fbem-21461	66	19	each	each	DET
fbem-21461	66	20	pφ	pφ	NOUN
fbem-21461	66	21	,	,	PUNCT
fbem-21461	66	22	j	j	PROPN
fbem-21461	66	23	is	be	AUX
fbem-21461	66	24	:	:	PUNCT
fbem-21461	66	25	aφ	aφ	ADJ
fbem-21461	66	26	,	,	PUNCT
fbem-21461	66	27	j	j	PROPN
fbem-21461	66	28	=	=	SYM
fbem-21461	66	29	1-∏	1-∏	NUM
fbem-21461	66	30	(	(	PUNCT
fbem-21461	66	31	1	1	NUM
fbem-21461	66	32	-	-	PUNCT
fbem-21461	66	33	aiu)ripφ	aiu)ripφ	PROPN
fbem-21461	66	34	,	,	PUNCT
fbem-21461	66	35	j	j	PROPN
fbem-21461	66	36	(	(	PUNCT
fbem-21461	66	37	4	4	NUM
fbem-21461	66	38	)	)	PUNCT
fbem-21461	66	39	fφ	fφ	PROPN
fbem-21461	66	40	,	,	PUNCT
fbem-21461	66	41	j×(1	j×(1	NOUN
fbem-21461	66	42	-	-	PUNCT
fbem-21461	66	43	aφ	aφ	NOUN
fbem-21461	66	44	,	,	PUNCT
fbem-21461	66	45	j	j	NOUN
fbem-21461	66	46	)	)	PUNCT
fbem-21461	66	47	=	=	SYM
fbem-21461	66	48	fφ	fφ	PROPN
fbem-21461	66	49	,	,	PUNCT
fbem-21461	66	50	j×∏	j×∏	PROPN
fbem-21461	66	51	(	(	PUNCT
fbem-21461	66	52	1	1	NUM
fbem-21461	66	53	-	-	PUNCT
fbem-21461	66	54	aiu)ripφ	aiu)ripφ	PROPN
fbem-21461	66	55	,	,	PUNCT
fbem-21461	66	56	j	j	PROPN
fbem-21461	66	57	is	be	AUX
fbem-21461	66	58	the	the	DET
fbem-21461	66	59	perfect	perfect	ADJ
fbem-21461	66	60	commodity	commodity	NOUN
fbem-21461	66	61	flow	flow	NOUN
fbem-21461	66	62	through	through	ADP
fbem-21461	66	63	the	the	DET
fbem-21461	66	64	pφ	pφ	NOUN
fbem-21461	66	65	,	,	PUNCT
fbem-21461	66	66	j.	j.	PROPN
fbem-21461	66	67	in	in	ADP
fbem-21461	66	68	order	order	NOUN
fbem-21461	66	69	to	to	PART
fbem-21461	66	70	ensure	ensure	VERB
fbem-21461	66	71	that	that	SCONJ
fbem-21461	66	72	the	the	DET
fbem-21461	66	73	intact	intact	ADJ
fbem-21461	66	74	commodity	commodity	NOUN
fbem-21461	66	75	flow	flow	NOUN
fbem-21461	66	76	transported	transport	VERB
fbem-21461	66	77	to	to	ADP
fbem-21461	66	78	the	the	DET
fbem-21461	66	79	destination	destination	NOUN
fbem-21461	66	80	tφ	tφ	PROPN
fbem-21461	66	81	is	be	AUX
fbem-21461	66	82	exactly	exactly	ADV
fbem-21461	66	83	equal	equal	ADJ
fbem-21461	66	84	to	to	ADP
fbem-21461	66	85	the	the	DET
fbem-21461	66	86	market	market	NOUN
fbem-21461	66	87	demand	demand	NOUN
fbem-21461	66	88	dφ	dφ	ADP
fbem-21461	66	89	,	,	PUNCT
fbem-21461	66	90	the	the	DET
fbem-21461	66	91	actual	actual	ADJ
fbem-21461	66	92	flow	flow	NOUN
fbem-21461	66	93	vector	vector	NOUN
fbem-21461	66	94	k	k	PROPN
fbem-21461	66	95	is	be	AUX
fbem-21461	66	96	used	use	VERB
fbem-21461	66	97	to	to	PART
fbem-21461	66	98	represent	represent	VERB
fbem-21461	66	99	the	the	DET
fbem-21461	66	100	set	set	NOUN
fbem-21461	66	101	of	of	ADP
fbem-21461	66	102	actual	actual	ADJ
fbem-21461	66	103	commodity	commodity	NOUN
fbem-21461	66	104	flows	flow	VERB
fbem-21461	66	105	kφ	kφ	PROPN
fbem-21461	66	106	,	,	PUNCT
fbem-21461	66	107	j	j	PROPN
fbem-21461	66	108	that	that	PRON
fbem-21461	66	109	pass	pass	VERB
fbem-21461	66	110	through	through	ADP
fbem-21461	66	111	the	the	DET
fbem-21461	66	112	pφ	pφ	NOUN
fbem-21461	66	113	,	,	PUNCT
fbem-21461	66	114	j	j	PROPN
fbem-21461	66	115	under	under	ADP
fbem-21461	66	116	delivery	delivery	NOUN
fbem-21461	66	117	spoilage	spoilage	NOUN
fbem-21461	66	118	.	.	PUNCT
fbem-21461	67	1	the	the	DET
fbem-21461	67	2	following	follow	VERB
fbem-21461	67	3	equation	equation	NOUN
fbem-21461	67	4	transforms	transform	VERB
fbem-21461	67	5	the	the	DET
fbem-21461	67	6	ideal	ideal	ADJ
fbem-21461	67	7	commodity	commodity	NOUN
fbem-21461	67	8	flow	flow	NOUN
fbem-21461	67	9	fφ	fφ	PROPN
fbem-21461	67	10	,	,	PUNCT
fbem-21461	67	11	j	j	PROPN
fbem-21461	67	12	into	into	ADP
fbem-21461	67	13	the	the	DET
fbem-21461	67	14	actual	actual	ADJ
fbem-21461	67	15	commodity	commodity	NOUN
fbem-21461	67	16	flow	flow	NOUN
fbem-21461	67	17	kφ	kφ	PROPN
fbem-21461	67	18	,	,	PUNCT
fbem-21461	67	19	j.	j.	PROPN
fbem-21461	67	20	kφ	kφ	PROPN
fbem-21461	67	21	,	,	PUNCT
fbem-21461	67	22	j	j	PROPN
fbem-21461	67	23	=	=	SYM
fbem-21461	67	24	f	f	PROPN
fbem-21461	67	25	φ	φ	PROPN
fbem-21461	67	26	,	,	PUNCT
fbem-21461	67	27	j	j	PROPN
fbem-21461	67	28	/(1	/(1	PUNCT
fbem-21461	67	29	-	-	PUNCT
fbem-21461	67	30	aφ	aφ	ADJ
fbem-21461	67	31	,	,	PUNCT
fbem-21461	67	32	j	j	NOUN
fbem-21461	67	33	)	)	PUNCT
fbem-21461	67	34	(	(	PUNCT
fbem-21461	67	35	5	5	NUM
fbem-21461	67	36	)	)	PUNCT
fbem-21461	67	37	3.2	3.2	NUM
fbem-21461	67	38	.	.	PUNCT
fbem-21461	68	1	capacity	capacity	NOUN
fbem-21461	68	2	vector	vector	NOUN
fbem-21461	68	3	when	when	SCONJ
fbem-21461	68	4	xi	xi	PROPN
fbem-21461	68	5	=	=	SYM
fbem-21461	68	6	u	u	PROPN
fbem-21461	68	7	,	,	PUNCT
fbem-21461	68	8	cixi	cixi	PROPN
fbem-21461	68	9	(	(	PUNCT
fbem-21461	68	10	mixi	mixi	PROPN
fbem-21461	68	11	)	)	PUNCT
fbem-21461	68	12	=	=	SYM
fbem-21461	69	1	ciu(miu	ciu(miu	PROPN
fbem-21461	69	2	)	)	PUNCT
fbem-21461	69	3	is	be	AUX
fbem-21461	69	4	the	the	DET
fbem-21461	69	5	maximal	maximal	ADJ
fbem-21461	69	6	capacity	capacity	NOUN
fbem-21461	69	7	state	state	NOUN
fbem-21461	69	8	on	on	ADP
fbem-21461	69	9	route	route	PROPN
fbem-21461	69	10	r.	r.	PROPN
fbem-21461	69	11	then	then	ADV
fbem-21461	69	12	the	the	DET
fbem-21461	69	13	maximal	maximal	ADJ
fbem-21461	69	14	capacity	capacity	NOUN
fbem-21461	69	15	vector	vector	NOUN
fbem-21461	69	16	is	be	AUX
fbem-21461	69	17	mx	mx	NOUN
fbem-21461	69	18	=	=	SYM
fbem-21461	69	19	(	(	PUNCT
fbem-21461	69	20	c1x1	c1x1	X
fbem-21461	69	21	(	(	PUNCT
fbem-21461	69	22	m1x1	m1x1	NOUN
fbem-21461	69	23	)	)	PUNCT
fbem-21461	69	24	,	,	PUNCT
fbem-21461	69	25	c2x2	c2x2	X
fbem-21461	69	26	(	(	PUNCT
fbem-21461	69	27	m2x2	m2x2	NOUN
fbem-21461	69	28	)	)	PUNCT
fbem-21461	69	29	,	,	PUNCT
fbem-21461	69	30	…	…	PUNCT
fbem-21461	69	31	,	,	PUNCT
fbem-21461	69	32	cnxn	cnxn	NOUN
fbem-21461	69	33	(	(	PUNCT
fbem-21461	69	34	mnxn	mnxn	NOUN
fbem-21461	69	35	)	)	PUNCT
fbem-21461	69	36	)	)	PUNCT
fbem-21461	69	37	.	.	PUNCT
fbem-21461	70	1	denote	denote	VERB
fbem-21461	70	2	by	by	ADP
fbem-21461	70	3	w	w	NOUN
fbem-21461	70	4	the	the	DET
fbem-21461	70	5	capacity	capacity	NOUN
fbem-21461	70	6	consumed	consume	VERB
fbem-21461	70	7	per	per	ADP
fbem-21461	70	8	unit	unit	NOUN
fbem-21461	70	9	of	of	ADP
fbem-21461	70	10	commodity	commodity	NOUN
fbem-21461	70	11	flow	flow	NOUN
fbem-21461	70	12	,	,	PUNCT
fbem-21461	70	13	any	any	DET
fbem-21461	70	14	actual	actual	ADJ
fbem-21461	70	15	flow	flow	NOUN
fbem-21461	70	16	vector	vector	NOUN
fbem-21461	70	17	k	k	PROPN
fbem-21461	70	18	is	be	AUX
fbem-21461	70	19	feasible	feasible	ADJ
fbem-21461	70	20	under	under	ADP
fbem-21461	70	21	the	the	DET
fbem-21461	70	22	maximum	maximum	ADJ
fbem-21461	70	23	capacity	capacity	NOUN
fbem-21461	70	24	vector	vector	NOUN
fbem-21461	70	25	mx	mx	PROPN
fbem-21461	70	26	as	as	ADV
fbem-21461	70	27	long	long	ADV
fbem-21461	70	28	as	as	SCONJ
fbem-21461	70	29	the	the	DET
fbem-21461	70	30	following	follow	VERB
fbem-21461	70	31	conditions	condition	NOUN
fbem-21461	70	32	are	be	AUX
fbem-21461	70	33	satisfied	satisfied	ADJ
fbem-21461	70	34	.	.	PUNCT
fbem-21461	71	1	w	w	X
fbem-21461	71	2	∑	∑	PROPN
fbem-21461	71	3	∑	∑	PROPN
fbem-21461	71	4	k	k	PROPN
fbem-21461	71	5	φ	φ	PROPN
fbem-21461	71	6	,	,	PUNCT
fbem-21461	71	7	jj	jj	PROPN
fbem-21461	71	8	:	:	PUNCT
fbem-21461	71	9	ripφ	ripφ	PROPN
fbem-21461	71	10	,	,	PUNCT
fbem-21461	71	11	j	j	PROPN
fbem-21461	71	12	t	t	PROPN
fbem-21461	71	13	φ=1	φ=1	PROPN
fbem-21461	71	14	≤	≤	PROPN
fbem-21461	71	15	cixi	cixi	PROPN
fbem-21461	71	16	(	(	PUNCT
fbem-21461	71	17	mixi	mixi	PROPN
fbem-21461	71	18	)	)	PUNCT
fbem-21461	71	19	,	,	PUNCT
fbem-21461	71	20	i	i	PRON
fbem-21461	71	21	=	=	NOUN
fbem-21461	71	22	1	1	NUM
fbem-21461	71	23	,	,	PUNCT
fbem-21461	71	24	2	2	NUM
fbem-21461	71	25	,	,	PUNCT
fbem-21461	71	26	...	...	PUNCT
fbem-21461	71	27	,	,	PUNCT
fbem-21461	71	28	n	n	X
fbem-21461	71	29	(	(	PUNCT
fbem-21461	71	30	6	6	NUM
fbem-21461	71	31	)	)	PUNCT
fbem-21461	71	32	wk	wk	ADP
fbem-21461	71	33	φ	φ	PROPN
fbem-21461	71	34	,	,	PUNCT
fbem-21461	71	35	j	j	PROPN
fbem-21461	71	36			NUM
fbem-21461	71	37	min	min	NOUN
fbem-21461	71	38	cixi	cixi	PROPN
fbem-21461	71	39	(	(	PUNCT
fbem-21461	71	40	mixi	mixi	PROPN
fbem-21461	71	41	)	)	PUNCT
fbem-21461	71	42	|ripφ	|ripφ	PROPN
fbem-21461	71	43	,	,	PUNCT
fbem-21461	71	44	j	j	PROPN
fbem-21461	71	45	,	,	PUNCT
fbem-21461	71	46	j	j	PROPN
fbem-21461	71	47	=	=	SYM
fbem-21461	71	48	1	1	NUM
fbem-21461	71	49	,	,	PUNCT
fbem-21461	71	50	2	2	NUM
fbem-21461	71	51	,	,	PUNCT
fbem-21461	71	52	...	...	PUNCT
fbem-21461	71	53	,	,	PUNCT
fbem-21461	71	54	m	m	VERB
fbem-21461	71	55	(	(	PUNCT
fbem-21461	71	56	7	7	NUM
fbem-21461	71	57	)	)	SYM
fbem-21461	71	58	336	336	NUM
fbem-21461	71	59	condition	condition	NOUN
fbem-21461	71	60	(	(	PUNCT
fbem-21461	71	61	6	6	NUM
fbem-21461	71	62	)	)	PUNCT
fbem-21461	71	63	ensures	ensure	VERB
fbem-21461	71	64	that	that	SCONJ
fbem-21461	71	65	the	the	DET
fbem-21461	71	66	capacity	capacity	NOUN
fbem-21461	71	67	consumed	consume	VERB
fbem-21461	71	68	by	by	ADP
fbem-21461	71	69	the	the	DET
fbem-21461	71	70	actual	actual	ADJ
fbem-21461	71	71	commodity	commodity	NOUN
fbem-21461	71	72	flow	flow	NOUN
fbem-21461	71	73	through	through	ADP
fbem-21461	71	74	route	route	NOUN
fbem-21461	71	75	ri	ri	PROPN
fbem-21461	71	76	does	do	AUX
fbem-21461	71	77	not	not	PART
fbem-21461	71	78	exceed	exceed	VERB
fbem-21461	71	79	the	the	DET
fbem-21461	71	80	maximum	maximum	ADJ
fbem-21461	71	81	capacity	capacity	NOUN
fbem-21461	71	82	of	of	ADP
fbem-21461	71	83	route	route	PROPN
fbem-21461	71	84	ri	ri	PROPN
fbem-21461	71	85	.	.	PUNCT
fbem-21461	72	1	condition	condition	NOUN
fbem-21461	72	2	(	(	PUNCT
fbem-21461	72	3	7	7	X
fbem-21461	72	4	)	)	PUNCT
fbem-21461	72	5	ensures	ensure	VERB
fbem-21461	72	6	that	that	SCONJ
fbem-21461	72	7	the	the	DET
fbem-21461	72	8	capacity	capacity	NOUN
fbem-21461	72	9	consumed	consume	VERB
fbem-21461	72	10	by	by	ADP
fbem-21461	72	11	the	the	DET
fbem-21461	72	12	actual	actual	ADJ
fbem-21461	72	13	flow	flow	NOUN
fbem-21461	72	14	through	through	ADP
fbem-21461	72	15	pφ	pφ	ADP
fbem-21461	72	16	,	,	PUNCT
fbem-21461	72	17	j	j	PROPN
fbem-21461	72	18	does	do	AUX
fbem-21461	72	19	not	not	PART
fbem-21461	72	20	exceed	exceed	VERB
fbem-21461	72	21	the	the	DET
fbem-21461	72	22	maximum	maximum	ADJ
fbem-21461	72	23	capacity	capacity	NOUN
fbem-21461	72	24	of	of	ADP
fbem-21461	72	25	pφ	pφ	ADP
fbem-21461	72	26	,	,	PUNCT
fbem-21461	72	27	j.	j.	PROPN
fbem-21461	72	28	theorem	theorem	PROPN
fbem-21461	72	29	1	1	NUM
fbem-21461	72	30	shows	show	VERB
fbem-21461	72	31	that	that	SCONJ
fbem-21461	72	32	conditions	condition	NOUN
fbem-21461	72	33	(	(	PUNCT
fbem-21461	72	34	7	7	X
fbem-21461	72	35	)	)	PUNCT
fbem-21461	72	36	are	be	AUX
fbem-21461	72	37	redundant	redundant	ADJ
fbem-21461	72	38	.	.	PUNCT
fbem-21461	73	1	theorem	theorem	VERB
fbem-21461	73	2	1	1	NUM
fbem-21461	73	3	:	:	PUNCT
fbem-21461	73	4	any	any	DET
fbem-21461	73	5	actual	actual	ADJ
fbem-21461	73	6	flow	flow	NOUN
fbem-21461	73	7	vector	vector	NOUN
fbem-21461	73	8	k	k	NOUN
fbem-21461	73	9	satisfying	satisfy	VERB
fbem-21461	73	10	condition	condition	NOUN
fbem-21461	73	11	(	(	PUNCT
fbem-21461	73	12	6	6	NUM
fbem-21461	73	13	)	)	PUNCT
fbem-21461	73	14	satisfies	satisfy	VERB
fbem-21461	73	15	condition	condition	NOUN
fbem-21461	73	16	(	(	PUNCT
fbem-21461	73	17	7	7	NUM
fbem-21461	73	18	)	)	PUNCT
fbem-21461	73	19	.	.	PUNCT
fbem-21461	74	1	proof	proof	NOUN
fbem-21461	74	2	:	:	PUNCT
fbem-21461	74	3	condition	condition	NOUN
fbem-21461	74	4	(	(	PUNCT
fbem-21461	74	5	6	6	NUM
fbem-21461	74	6	)	)	PUNCT
fbem-21461	74	7	leads	lead	VERB
fbem-21461	74	8	to	to	ADP
fbem-21461	74	9	wk	wk	PROPN
fbem-21461	74	10	φ	φ	PROPN
fbem-21461	74	11	,	,	PUNCT
fbem-21461	74	12	j	j	PROPN
fbem-21461	74	13	≤	≤	PROPN
fbem-21461	74	14	cixi	cixi	PROPN
fbem-21461	74	15	(	(	PUNCT
fbem-21461	74	16	mixi	mixi	PROPN
fbem-21461	74	17	)	)	PUNCT
fbem-21461	74	18	for	for	ADP
fbem-21461	74	19	each	each	DET
fbem-21461	74	20	i	i	PRON
fbem-21461	74	21	：	：	PUNCT
fbem-21461	74	22	ripφ	ripφ	PROPN
fbem-21461	74	23	,	,	PUNCT
fbem-21461	74	24	j	j	PROPN
fbem-21461	74	25	,	,	PUNCT
fbem-21461	74	26	which	which	PRON
fbem-21461	74	27	implies	imply	VERB
fbem-21461	74	28	that	that	DET
fbem-21461	74	29	wkφ	wkφ	NOUN
fbem-21461	74	30	,	,	PUNCT
fbem-21461	74	31	j	j	PROPN
fbem-21461	74	32			NUM
fbem-21461	74	33	min	min	NOUN
fbem-21461	74	34	cixi	cixi	PROPN
fbem-21461	74	35	(	(	PUNCT
fbem-21461	74	36	mixi	mixi	PROPN
fbem-21461	74	37	)	)	PUNCT
fbem-21461	74	38	|ripφ	|ripφ	PROPN
fbem-21461	74	39	,	,	PUNCT
fbem-21461	74	40	j	j	PROPN
fbem-21461	74	41	.	.	PUNCT
fbem-21461	75	1	now	now	ADV
fbem-21461	75	2	introduce	introduce	VERB
fbem-21461	75	3	the	the	DET
fbem-21461	75	4	capacity	capacity	NOUN
fbem-21461	75	5	vector	vector	NOUN
fbem-21461	75	6	y	y	PROPN
fbem-21461	75	7	=	=	SYM
fbem-21461	75	8	(	(	PUNCT
fbem-21461	75	9	y1	y1	PROPN
fbem-21461	75	10	,	,	PUNCT
fbem-21461	75	11	y2	y2	PROPN
fbem-21461	75	12	,	,	PUNCT
fbem-21461	75	13	...	...	PUNCT
fbem-21461	75	14	,	,	PUNCT
fbem-21461	75	15	yn	yn	PROPN
fbem-21461	75	16	)	)	PUNCT
fbem-21461	75	17	where	where	SCONJ
fbem-21461	75	18	yi	yi	PROPN
fbem-21461	75	19	denotes	denote	VERB
fbem-21461	75	20	the	the	DET
fbem-21461	75	21	current	current	ADJ
fbem-21461	75	22	capacity	capacity	NOUN
fbem-21461	75	23	of	of	ADP
fbem-21461	75	24	ri	ri	PROPN
fbem-21461	75	25	.	.	PUNCT
fbem-21461	76	1	obviously	obviously	ADV
fbem-21461	76	2	,	,	PUNCT
fbem-21461	76	3	the	the	DET
fbem-21461	76	4	range	range	NOUN
fbem-21461	76	5	of	of	ADP
fbem-21461	76	6	values	value	NOUN
fbem-21461	76	7	of	of	ADP
fbem-21461	76	8	yi	yi	PROPN
fbem-21461	76	9	is	be	AUX
fbem-21461	76	10	cixi	cixi	PROPN
fbem-21461	76	11	(	(	PUNCT
fbem-21461	76	12	1	1	NUM
fbem-21461	76	13	)	)	PUNCT
fbem-21461	76	14	,	,	PUNCT
fbem-21461	76	15	cixi	cixi	PROPN
fbem-21461	76	16	(	(	PUNCT
fbem-21461	76	17	mixi	mixi	PROPN
fbem-21461	76	18	)	)	PUNCT
fbem-21461	76	19	.	.	PUNCT
fbem-21461	77	1	any	any	DET
fbem-21461	77	2	k	k	PROPN
fbem-21461	77	3	is	be	AUX
fbem-21461	77	4	a	a	DET
fbem-21461	77	5	feasible	feasible	ADJ
fbem-21461	77	6	actual	actual	ADJ
fbem-21461	77	7	flow	flow	NOUN
fbem-21461	77	8	vector	vector	NOUN
fbem-21461	77	9	under	under	ADP
fbem-21461	77	10	the	the	DET
fbem-21461	77	11	capacity	capacity	NOUN
fbem-21461	77	12	vector	vector	NOUN
fbem-21461	77	13	y	y	PROPN
fbem-21461	77	14	if	if	SCONJ
fbem-21461	77	15	the	the	DET
fbem-21461	77	16	following	follow	VERB
fbem-21461	77	17	condition	condition	NOUN
fbem-21461	77	18	is	be	AUX
fbem-21461	77	19	satisfied	satisfied	ADJ
fbem-21461	77	20	.	.	PUNCT
fbem-21461	78	1	w	w	X
fbem-21461	78	2	∑	∑	PROPN
fbem-21461	78	3	∑	∑	PROPN
fbem-21461	78	4	kφ	kφ	PROPN
fbem-21461	78	5	,	,	PUNCT
fbem-21461	78	6	jj	jj	PROPN
fbem-21461	78	7	:	:	PUNCT
fbem-21461	78	8	ripφ	ripφ	PROPN
fbem-21461	78	9	,	,	PUNCT
fbem-21461	78	10	j	j	PROPN
fbem-21461	78	11	t	t	PROPN
fbem-21461	78	12	φ=1	φ=1	PROPN
fbem-21461	78	13	≤	≤	PROPN
fbem-21461	78	14	yi	yi	NOUN
fbem-21461	78	15	,	,	PUNCT
fbem-21461	78	16	i	i	PRON
fbem-21461	78	17	=	=	NOUN
fbem-21461	78	18	1	1	NUM
fbem-21461	78	19	,	,	PUNCT
fbem-21461	78	20	2	2	NUM
fbem-21461	78	21	,	,	PUNCT
fbem-21461	78	22	...	...	PUNCT
fbem-21461	78	23	,	,	PUNCT
fbem-21461	78	24	n	n	X
fbem-21461	78	25	(	(	PUNCT
fbem-21461	78	26	8)	8)	NUM
fbem-21461	78	27	the	the	DET
fbem-21461	78	28	constraint	constraint	NOUN
fbem-21461	78	29	(	(	PUNCT
fbem-21461	78	30	8)	8)	NUM
fbem-21461	78	31	means	mean	VERB
fbem-21461	78	32	that	that	SCONJ
fbem-21461	78	33	the	the	DET
fbem-21461	78	34	capacity	capacity	NOUN
fbem-21461	78	35	occupied	occupy	VERB
fbem-21461	78	36	by	by	ADP
fbem-21461	78	37	the	the	DET
fbem-21461	78	38	actual	actual	ADJ
fbem-21461	78	39	commodity	commodity	NOUN
fbem-21461	78	40	flow	flow	NOUN
fbem-21461	78	41	through	through	ADP
fbem-21461	78	42	ri	ri	PROPN
fbem-21461	78	43	can	can	AUX
fbem-21461	78	44	not	not	PART
fbem-21461	78	45	exceed	exceed	VERB
fbem-21461	78	46	the	the	DET
fbem-21461	78	47	current	current	ADJ
fbem-21461	78	48	capacity	capacity	NOUN
fbem-21461	78	49	of	of	ADP
fbem-21461	78	50	ri	ri	PROPN
fbem-21461	78	51	.	.	PROPN
fbem-21461	79	1	for	for	ADP
fbem-21461	79	2	convenience	convenience	NOUN
fbem-21461	79	3	,	,	PUNCT
fbem-21461	79	4	kmx	kmx	NOUN
fbem-21461	79	5	and	and	CCONJ
fbem-21461	79	6	ky	ky	PROPN
fbem-21461	79	7	are	be	AUX
fbem-21461	79	8	introduced	introduce	VERB
fbem-21461	79	9	to	to	PART
fbem-21461	79	10	denote	denote	VERB
fbem-21461	79	11	the	the	DET
fbem-21461	79	12	set	set	NOUN
fbem-21461	79	13	of	of	ADP
fbem-21461	79	14	all	all	DET
fbem-21461	79	15	feasible	feasible	ADJ
fbem-21461	79	16	actual	actual	ADJ
fbem-21461	79	17	flow	flow	NOUN
fbem-21461	79	18	vectors	vector	NOUN
fbem-21461	79	19	satisfying	satisfy	VERB
fbem-21461	79	20	the	the	DET
fbem-21461	79	21	conditions	condition	NOUN
fbem-21461	79	22	(	(	PUNCT
fbem-21461	79	23	6	6	NUM
fbem-21461	79	24	)	)	PUNCT
fbem-21461	79	25	and	and	CCONJ
fbem-21461	79	26	(	(	PUNCT
fbem-21461	79	27	8)	8)	NUM
fbem-21461	79	28	,	,	PUNCT
fbem-21461	79	29	respectively	respectively	ADV
fbem-21461	79	30	.	.	PUNCT
fbem-21461	80	1	3.3	3.3	NUM
fbem-21461	80	2	.	.	PUNCT
fbem-21461	81	1	cost	cost	NOUN
fbem-21461	81	2	constraint	constraint	NOUN
fbem-21461	81	3	this	this	DET
fbem-21461	81	4	paper	paper	NOUN
fbem-21461	81	5	focuses	focus	VERB
fbem-21461	81	6	on	on	ADP
fbem-21461	81	7	transportation	transportation	NOUN
fbem-21461	81	8	cost	cost	NOUN
fbem-21461	81	9	in	in	ADP
fbem-21461	81	10	the	the	DET
fbem-21461	81	11	reliability	reliability	NOUN
fbem-21461	81	12	assessment	assessment	NOUN
fbem-21461	81	13	of	of	ADP
fbem-21461	81	14	logistics	logistic	NOUN
fbem-21461	81	15	networks	network	NOUN
fbem-21461	81	16	.	.	PUNCT
fbem-21461	82	1	the	the	DET
fbem-21461	82	2	total	total	ADJ
fbem-21461	82	3	transportation	transportation	NOUN
fbem-21461	82	4	cost	cost	NOUN
fbem-21461	82	5	is	be	AUX
fbem-21461	82	6	derived	derive	VERB
fbem-21461	82	7	by	by	ADP
fbem-21461	82	8	summing	sum	VERB
fbem-21461	82	9	the	the	DET
fbem-21461	82	10	transportation	transportation	NOUN
fbem-21461	82	11	cost	cost	NOUN
fbem-21461	82	12	on	on	ADP
fbem-21461	82	13	each	each	DET
fbem-21461	82	14	route	route	NOUN
fbem-21461	82	15	,	,	PUNCT
fbem-21461	82	16	and	and	CCONJ
fbem-21461	82	17	the	the	DET
fbem-21461	82	18	transportation	transportation	NOUN
fbem-21461	82	19	cost	cost	NOUN
fbem-21461	82	20	on	on	ADP
fbem-21461	82	21	each	each	DET
fbem-21461	82	22	route	route	NOUN
fbem-21461	82	23	depends	depend	VERB
fbem-21461	82	24	on	on	ADP
fbem-21461	82	25	the	the	DET
fbem-21461	82	26	capacity	capacity	NOUN
fbem-21461	82	27	consumed	consume	VERB
fbem-21461	82	28	by	by	ADP
fbem-21461	82	29	the	the	DET
fbem-21461	82	30	actual	actual	ADJ
fbem-21461	82	31	commodity	commodity	NOUN
fbem-21461	82	32	flow	flow	VERB
fbem-21461	82	33	through	through	ADP
fbem-21461	82	34	route	route	PROPN
fbem-21461	82	35	ri	ri	PROPN
fbem-21461	82	36	.	.	PUNCT
fbem-21461	83	1	given	give	VERB
fbem-21461	83	2	cost	cost	NOUN
fbem-21461	83	3	constraint	constraint	NOUN
fbem-21461	83	4	c	c	NOUN
fbem-21461	83	5	,	,	PUNCT
fbem-21461	83	6	any	any	DET
fbem-21461	83	7	k	k	PROPN
fbem-21461	83	8	is	be	AUX
fbem-21461	83	9	said	say	VERB
fbem-21461	83	10	to	to	PART
fbem-21461	83	11	satisfy	satisfy	VERB
fbem-21461	83	12	the	the	DET
fbem-21461	83	13	cost	cost	NOUN
fbem-21461	83	14	constraint	constraint	NOUN
fbem-21461	83	15	c	c	NOUN
fbem-21461	84	1	if	if	SCONJ
fbem-21461	84	2	it	it	PRON
fbem-21461	84	3	satisfies	satisfy	VERB
fbem-21461	84	4	the	the	DET
fbem-21461	84	5	following	follow	VERB
fbem-21461	84	6	condition	condition	NOUN
fbem-21461	84	7	.	.	PUNCT
fbem-21461	85	1	∑	∑	PUNCT
fbem-21461	85	2	oiu×	oiu×	PROPN
fbem-21461	85	3	w	w	PROPN
fbem-21461	85	4	∑	∑	PROPN
fbem-21461	85	5	∑	∑	PROPN
fbem-21461	85	6	kφ	kφ	PROPN
fbem-21461	85	7	,	,	PUNCT
fbem-21461	85	8	jj	jj	PROPN
fbem-21461	85	9	:	:	PUNCT
fbem-21461	85	10	ripφ	ripφ	PROPN
fbem-21461	85	11	,	,	PUNCT
fbem-21461	85	12	j	j	PROPN
fbem-21461	85	13	t	t	PROPN
fbem-21461	85	14	φ=1	φ=1	PROPN
fbem-21461	85	15	n	n	PROPN
fbem-21461	85	16	i=1	i=1	PROPN
fbem-21461	85	17	≤	≤	PROPN
fbem-21461	86	1	c	c	NOUN
fbem-21461	86	2	(	(	PUNCT
fbem-21461	86	3	9	9	NUM
fbem-21461	86	4	)	)	PUNCT
fbem-21461	86	5	where	where	SCONJ
fbem-21461	86	6	oiu	oiu	PROPN
fbem-21461	86	7	is	be	AUX
fbem-21461	86	8	the	the	DET
fbem-21461	86	9	unit	unit	NOUN
fbem-21461	86	10	transportation	transportation	NOUN
fbem-21461	86	11	cost	cost	NOUN
fbem-21461	86	12	of	of	ADP
fbem-21461	86	13	ri	ri	PROPN
fbem-21461	86	14	.	.	PUNCT
fbem-21461	87	1	the	the	DET
fbem-21461	87	2	constraint	constraint	NOUN
fbem-21461	87	3	(	(	PUNCT
fbem-21461	87	4	9	9	NUM
fbem-21461	87	5	)	)	PUNCT
fbem-21461	87	6	is	be	AUX
fbem-21461	87	7	that	that	SCONJ
fbem-21461	87	8	the	the	DET
fbem-21461	87	9	total	total	ADJ
fbem-21461	87	10	transportation	transportation	NOUN
fbem-21461	87	11	cost	cost	NOUN
fbem-21461	87	12	in	in	ADP
fbem-21461	87	13	the	the	DET
fbem-21461	87	14	network	network	NOUN
fbem-21461	87	15	can	can	AUX
fbem-21461	87	16	not	not	PART
fbem-21461	87	17	exceed	exceed	AUX
fbem-21461	87	18	given	give	VERB
fbem-21461	87	19	cost	cost	NOUN
fbem-21461	87	20	constraint	constraint	NOUN
fbem-21461	87	21	c.	c.	NOUN
fbem-21461	87	22	definition	definition	NOUN
fbem-21461	87	23	1	1	NUM
fbem-21461	87	24	:	:	PUNCT
fbem-21461	87	25	a	a	DET
fbem-21461	87	26	capacity	capacity	NOUN
fbem-21461	87	27	vector	vector	NOUN
fbem-21461	87	28	y	y	PROPN
fbem-21461	87	29	satisfies	satisfie	NOUN
fbem-21461	87	30	(	(	PUNCT
fbem-21461	87	31	d	d	NOUN
fbem-21461	87	32	,	,	PUNCT
fbem-21461	87	33	a(x	a(x	NOUN
fbem-21461	87	34	)	)	PUNCT
fbem-21461	87	35	,	,	PUNCT
fbem-21461	87	36	c	c	X
fbem-21461	87	37	)	)	PUNCT
fbem-21461	87	38	if	if	SCONJ
fbem-21461	87	39	there	there	PRON
fbem-21461	87	40	exists	exist	VERB
fbem-21461	87	41	an	an	DET
fbem-21461	87	42	actual	actual	ADJ
fbem-21461	87	43	flow	flow	NOUN
fbem-21461	87	44	vector	vector	NOUN
fbem-21461	87	45	kky	kky	NOUN
fbem-21461	87	46	.	.	PROPN
fbem-21461	87	47	3.4	3.4	NUM
fbem-21461	87	48	.	.	PUNCT
fbem-21461	88	1	network	network	NOUN
fbem-21461	88	2	reliability	reliability	NOUN
fbem-21461	88	3	calculation	calculation	NOUN
fbem-21461	88	4	given	give	VERB
fbem-21461	88	5	the	the	DET
fbem-21461	88	6	market	market	NOUN
fbem-21461	88	7	demand	demand	NOUN
fbem-21461	88	8	vector	vector	NOUN
fbem-21461	88	9	d	d	NOUN
fbem-21461	88	10	and	and	CCONJ
fbem-21461	88	11	the	the	DET
fbem-21461	88	12	carrier	carrier	NOUN
fbem-21461	88	13	selection	selection	NOUN
fbem-21461	88	14	x	x	PRON
fbem-21461	88	15	,	,	PUNCT
fbem-21461	88	16	the	the	DET
fbem-21461	88	17	network	network	NOUN
fbem-21461	88	18	reliability	reliability	PROPN
fbem-21461	88	19	rd	rd	PROPN
fbem-21461	88	20	,	,	PUNCT
fbem-21461	88	21	a(x),c	a(x),c	PROPN
fbem-21461	88	22	is	be	AUX
fbem-21461	88	23	defined	define	VERB
fbem-21461	88	24	as	as	ADP
fbem-21461	88	25	the	the	DET
fbem-21461	88	26	probability	probability	NOUN
fbem-21461	88	27	that	that	SCONJ
fbem-21461	88	28	the	the	DET
fbem-21461	88	29	number	number	NOUN
fbem-21461	88	30	of	of	ADP
fbem-21461	88	31	intact	intact	ADJ
fbem-21461	88	32	commodity	commodity	NOUN
fbem-21461	88	33	that	that	PRON
fbem-21461	88	34	can	can	AUX
fbem-21461	88	35	be	be	AUX
fbem-21461	88	36	transported	transport	VERB
fbem-21461	88	37	successfully	successfully	ADV
fbem-21461	88	38	from	from	ADP
fbem-21461	88	39	a	a	DET
fbem-21461	88	40	single	single	ADJ
fbem-21461	88	41	origin	origin	NOUN
fbem-21461	88	42	to	to	ADP
fbem-21461	88	43	multiple	multiple	ADJ
fbem-21461	88	44	sinks	sink	NOUN
fbem-21461	88	45	can	can	AUX
fbem-21461	88	46	satisfy	satisfy	VERB
fbem-21461	88	47	the	the	DET
fbem-21461	88	48	demand	demand	NOUN
fbem-21461	88	49	vector	vector	NOUN
fbem-21461	88	50	d	d	NOUN
fbem-21461	88	51	and	and	CCONJ
fbem-21461	88	52	that	that	SCONJ
fbem-21461	88	53	the	the	DET
fbem-21461	88	54	total	total	ADJ
fbem-21461	88	55	transportation	transportation	NOUN
fbem-21461	88	56	cost	cost	NOUN
fbem-21461	88	57	does	do	AUX
fbem-21461	88	58	not	not	PART
fbem-21461	88	59	exceed	exceed	VERB
fbem-21461	88	60	the	the	DET
fbem-21461	88	61	cost	cost	NOUN
fbem-21461	88	62	constraint	constraint	NOUN
fbem-21461	88	63	c	c	NOUN
fbem-21461	88	64	under	under	ADP
fbem-21461	88	65	delivery	delivery	NOUN
fbem-21461	88	66	spoilage	spoilage	NOUN
fbem-21461	88	67	and	and	CCONJ
fbem-21461	88	68	cost	cost	NOUN
fbem-21461	88	69	constraint	constraint	NOUN
fbem-21461	88	70	.	.	PUNCT
fbem-21461	89	1	a	a	DET
fbem-21461	89	2	network	network	NOUN
fbem-21461	89	3	is	be	AUX
fbem-21461	89	4	considered	consider	VERB
fbem-21461	89	5	to	to	PART
fbem-21461	89	6	satisfy	satisfy	VERB
fbem-21461	89	7	condition	condition	NOUN
fbem-21461	89	8	(	(	PUNCT
fbem-21461	89	9	d	d	NOUN
fbem-21461	89	10	,	,	PUNCT
fbem-21461	89	11	a(x	a(x	NOUN
fbem-21461	89	12	)	)	PUNCT
fbem-21461	89	13	,	,	PUNCT
fbem-21461	89	14	c	c	X
fbem-21461	89	15	)	)	PUNCT
fbem-21461	89	16	if	if	SCONJ
fbem-21461	89	17	there	there	PRON
fbem-21461	89	18	exists	exist	VERB
fbem-21461	89	19	a	a	DET
fbem-21461	89	20	feasible	feasible	ADJ
fbem-21461	89	21	actual	actual	ADJ
fbem-21461	89	22	flow	flow	NOUN
fbem-21461	89	23	vector	vector	NOUN
fbem-21461	89	24	kky	kky	NOUN
fbem-21461	89	25	under	under	ADP
fbem-21461	89	26	the	the	DET
fbem-21461	89	27	capacity	capacity	NOUN
fbem-21461	89	28	vector	vector	NOUN
fbem-21461	89	29	y	y	PROPN
fbem-21461	89	30	that	that	PRON
fbem-21461	89	31	satisfies	satisfy	VERB
fbem-21461	89	32	the	the	DET
fbem-21461	89	33	cost	cost	NOUN
fbem-21461	89	34	constraint	constraint	NOUN
fbem-21461	89	35	c.	c.	PROPN
fbem-21461	89	36	therefore	therefore	ADV
fbem-21461	89	37	,	,	PUNCT
fbem-21461	89	38	rd	rd	PROPN
fbem-21461	89	39	,	,	PUNCT
fbem-21461	89	40	a(x),c	a(x),c	PROPN
fbem-21461	89	41	=	=	PUNCT
fbem-21461	89	42	pr{y|y	pr{y|y	VERB
fbem-21461	89	43	satisfies	satisfy	VERB
fbem-21461	89	44	condition	condition	NOUN
fbem-21461	89	45	(	(	PUNCT
fbem-21461	89	46	d	d	NOUN
fbem-21461	89	47	,	,	PUNCT
fbem-21461	89	48	a(x	a(x	NOUN
fbem-21461	89	49	)	)	PUNCT
fbem-21461	89	50	,	,	PUNCT
fbem-21461	89	51	c	c	NOUN
fbem-21461	89	52	)	)	PUNCT
fbem-21461	89	53	}	}	PUNCT
fbem-21461	89	54	.	.	PUNCT
fbem-21461	90	1	for	for	ADP
fbem-21461	90	2	convenience	convenience	NOUN
fbem-21461	90	3	,	,	PUNCT
fbem-21461	90	4	let	let	VERB
fbem-21461	90	5			PROPN
fbem-21461	90	6	=	=	PUNCT
fbem-21461	90	7	{	{	PUNCT
fbem-21461	90	8	y|y	y|y	ADV
fbem-21461	90	9	satisfies	satisfie	NOUN
fbem-21461	90	10	condition	condition	NOUN
fbem-21461	90	11	(	(	PUNCT
fbem-21461	90	12	d	d	NOUN
fbem-21461	90	13	,	,	PUNCT
fbem-21461	90	14	a(x	a(x	NOUN
fbem-21461	90	15	)	)	PUNCT
fbem-21461	90	16	,	,	PUNCT
fbem-21461	90	17	c	c	NOUN
fbem-21461	90	18	)	)	PUNCT
fbem-21461	90	19	}	}	PUNCT
fbem-21461	90	20	,	,	PUNCT
fbem-21461	90	21	then	then	ADV
fbem-21461	90	22	rd	rd	PROPN
fbem-21461	90	23	,	,	PUNCT
fbem-21461	90	24	a(x),c	a(x),c	PROPN
fbem-21461	90	25	=	=	SYM
fbem-21461	91	1	pr()=	pr()=	NUM
fbem-21461	91	2	∑	∑	PUNCT
fbem-21461	91	3	pr	pr	NOUN
fbem-21461	91	4	yy	yy	NOUN
fbem-21461	91	5	,	,	PUNCT
fbem-21461	91	6	where	where	SCONJ
fbem-21461	91	7	pr(y	pr(y	ADJ
fbem-21461	91	8	)	)	PUNCT
fbem-21461	91	9	=	=	SYM
fbem-21461	91	10	∏	∏	PROPN
fbem-21461	91	11	pr(y	pr(y	ADJ
fbem-21461	91	12	i	i	NOUN
fbem-21461	91	13	)	)	PUNCT
fbem-21461	91	14	ni=1	ni=1	X
fbem-21461	91	15	is	be	AUX
fbem-21461	91	16	the	the	DET
fbem-21461	91	17	probability	probability	NOUN
fbem-21461	91	18	of	of	ADP
fbem-21461	91	19	all	all	DET
fbem-21461	91	20	capacity	capacity	NOUN
fbem-21461	91	21	vectors	vector	NOUN
fbem-21461	91	22	y	y	PROPN
fbem-21461	91	23	that	that	PRON
fbem-21461	91	24	satisfy	satisfy	VERB
fbem-21461	91	25	conditions	condition	NOUN
fbem-21461	91	26	(	(	PUNCT
fbem-21461	91	27	d	d	NOUN
fbem-21461	91	28	,	,	PUNCT
fbem-21461	91	29	a(x	a(x	NOUN
fbem-21461	91	30	)	)	PUNCT
fbem-21461	91	31	,	,	PUNCT
fbem-21461	91	32	c	c	NOUN
fbem-21461	91	33	)	)	PUNCT
fbem-21461	91	34	.	.	PUNCT
fbem-21461	92	1	based	base	VERB
fbem-21461	92	2	on	on	ADP
fbem-21461	92	3	the	the	DET
fbem-21461	92	4	enumeration	enumeration	NOUN
fbem-21461	92	5	method	method	NOUN
fbem-21461	92	6	to	to	PART
fbem-21461	92	7	obtain	obtain	VERB
fbem-21461	92	8	all	all	DET
fbem-21461	92	9	y	y	NOUN
fbem-21461	92	10	and	and	CCONJ
fbem-21461	92	11	then	then	ADV
fbem-21461	92	12	sum	sum	VERB
fbem-21461	92	13	up	up	ADP
fbem-21461	92	14	their	their	PRON
fbem-21461	92	15	probability	probability	NOUN
fbem-21461	92	16	values	value	NOUN
fbem-21461	92	17	can	can	AUX
fbem-21461	92	18	get	get	VERB
fbem-21461	92	19	the	the	DET
fbem-21461	92	20	network	network	NOUN
fbem-21461	92	21	reliability	reliability	PROPN
fbem-21461	92	22	rd	rd	PROPN
fbem-21461	92	23	,	,	PUNCT
fbem-21461	92	24	a(x),c	a(x),c	PROPN
fbem-21461	92	25	.	.	PUNCT
fbem-21461	93	1	however	however	ADV
fbem-21461	93	2	,	,	PUNCT
fbem-21461	93	3	the	the	DET
fbem-21461	93	4	computational	computational	ADJ
fbem-21461	93	5	complexity	complexity	NOUN
fbem-21461	93	6	of	of	ADP
fbem-21461	93	7	this	this	DET
fbem-21461	93	8	method	method	NOUN
fbem-21461	93	9	is	be	AUX
fbem-21461	93	10	high	high	ADJ
fbem-21461	93	11	in	in	ADP
fbem-21461	93	12	the	the	DET
fbem-21461	93	13	case	case	NOUN
fbem-21461	93	14	of	of	ADP
fbem-21461	93	15	large	large	ADJ
fbem-21461	93	16	network	network	NOUN
fbem-21461	93	17	size	size	NOUN
fbem-21461	93	18	.	.	PUNCT
fbem-21461	94	1	therefore	therefore	ADV
fbem-21461	94	2	,	,	PUNCT
fbem-21461	94	3	this	this	DET
fbem-21461	94	4	paper	paper	NOUN
fbem-21461	94	5	introduces	introduce	VERB
fbem-21461	94	6	the	the	DET
fbem-21461	94	7	minimal	minimal	ADJ
fbem-21461	94	8	capacity	capacity	NOUN
fbem-21461	94	9	vector	vector	NOUN
fbem-21461	94	10	to	to	PART
fbem-21461	94	11	reduce	reduce	VERB
fbem-21461	94	12	the	the	DET
fbem-21461	94	13	computational	computational	ADJ
fbem-21461	94	14	complexity	complexity	NOUN
fbem-21461	94	15	of	of	ADP
fbem-21461	94	16	network	network	NOUN
fbem-21461	94	17	reliability	reliability	NOUN
fbem-21461	94	18	and	and	CCONJ
fbem-21461	94	19	denotes	denote	VERB
fbem-21461	94	20	the	the	DET
fbem-21461	94	21	minimal	minimal	ADJ
fbem-21461	94	22	capacity	capacity	NOUN
fbem-21461	94	23	vector	vector	NOUN
fbem-21461	94	24	satisfying	satisfy	VERB
fbem-21461	94	25	the	the	DET
fbem-21461	94	26	condition	condition	NOUN
fbem-21461	94	27	(	(	PUNCT
fbem-21461	94	28	d	d	NOUN
fbem-21461	94	29	,	,	PUNCT
fbem-21461	94	30	a(x	a(x	NOUN
fbem-21461	94	31	)	)	PUNCT
fbem-21461	94	32	,	,	PUNCT
fbem-21461	94	33	c	c	X
fbem-21461	94	34	)	)	PUNCT
fbem-21461	94	35	by	by	ADP
fbem-21461	94	36	(	(	PUNCT
fbem-21461	94	37	d	d	NOUN
fbem-21461	94	38	,	,	PUNCT
fbem-21461	94	39	a(x	a(x	NOUN
fbem-21461	94	40	)	)	PUNCT
fbem-21461	94	41	,	,	PUNCT
fbem-21461	94	42	c)-mcv	c)-mcv	PROPN
fbem-21461	94	43	.	.	PUNCT
fbem-21461	95	1	definition	definition	NOUN
fbem-21461	95	2	2	2	NUM
fbem-21461	95	3	:	:	PUNCT
fbem-21461	95	4	y	y	PROPN
fbem-21461	95	5	≤	≤	PUNCT
fbem-21461	95	6	l	l	NOUN
fbem-21461	95	7	:	:	PUNCT
fbem-21461	95	8	(	(	PUNCT
fbem-21461	95	9	y1	y1	INTJ
fbem-21461	95	10	,	,	PUNCT
fbem-21461	95	11	y2	y2	PROPN
fbem-21461	95	12	,	,	PUNCT
fbem-21461	95	13	...	...	PUNCT
fbem-21461	95	14	,	,	PUNCT
fbem-21461	95	15	yn	yn	PROPN
fbem-21461	95	16	)	)	PUNCT
fbem-21461	95	17	≤	≤	NOUN
fbem-21461	95	18	(	(	PUNCT
fbem-21461	95	19	l1	l1	PROPN
fbem-21461	95	20	,	,	PUNCT
fbem-21461	95	21	l2	l2	NOUN
fbem-21461	95	22	,	,	PUNCT
fbem-21461	95	23	...	...	PUNCT
fbem-21461	95	24	,	,	PUNCT
fbem-21461	96	1	ln	ln	ADJ
fbem-21461	96	2	)	)	PUNCT
fbem-21461	96	3	,	,	PUNCT
fbem-21461	96	4	if	if	SCONJ
fbem-21461	96	5	and	and	CCONJ
fbem-21461	96	6	only	only	ADV
fbem-21461	96	7	if	if	SCONJ
fbem-21461	96	8	for	for	ADP
fbem-21461	96	9	each	each	DET
fbem-21461	96	10	i	i	PRON
fbem-21461	96	11	it	it	PRON
fbem-21461	96	12	is	be	AUX
fbem-21461	96	13	consistent	consistent	ADJ
fbem-21461	96	14	with	with	ADP
fbem-21461	96	15	yi	yi	NOUN
fbem-21461	96	16	≤	≤	NUM
fbem-21461	96	17	li	li	PROPN
fbem-21461	96	18	.	.	PUNCT
fbem-21461	97	1	definition	definition	NOUN
fbem-21461	97	2	3	3	NUM
fbem-21461	97	3	:	:	PUNCT
fbem-21461	97	4	y	y	PROPN
fbem-21461	97	5	<	<	X
fbem-21461	97	6	l	l	NOUN
fbem-21461	97	7	:	:	PUNCT
fbem-21461	97	8	(	(	PUNCT
fbem-21461	97	9	y1	y1	INTJ
fbem-21461	97	10	,	,	PUNCT
fbem-21461	97	11	y2	y2	PROPN
fbem-21461	97	12	,	,	PUNCT
fbem-21461	97	13	...	...	PUNCT
fbem-21461	97	14	,	,	PUNCT
fbem-21461	97	15	yn	yn	PROPN
fbem-21461	97	16	)	)	PUNCT
fbem-21461	97	17	<	<	X
fbem-21461	97	18	(	(	PUNCT
fbem-21461	97	19	l1	l1	PROPN
fbem-21461	97	20	,	,	PUNCT
fbem-21461	97	21	l2	l2	NOUN
fbem-21461	97	22	,	,	PUNCT
fbem-21461	97	23	...	...	PUNCT
fbem-21461	97	24	,	,	PUNCT
fbem-21461	97	25	ln	ln	ADJ
fbem-21461	97	26	)	)	PUNCT
fbem-21461	97	27	,	,	PUNCT
fbem-21461	97	28	if	if	SCONJ
fbem-21461	97	29	and	and	CCONJ
fbem-21461	97	30	only	only	ADV
fbem-21461	97	31	if	if	SCONJ
fbem-21461	97	32	y	y	PROPN
fbem-21461	97	33	≤	≤	X
fbem-21461	97	34	l	l	NOUN
fbem-21461	98	1	and	and	CCONJ
fbem-21461	98	2	there	there	PRON
fbem-21461	98	3	exists	exist	VERB
fbem-21461	98	4	at	at	ADP
fbem-21461	98	5	least	least	ADV
fbem-21461	98	6	one	one	NUM
fbem-21461	98	7	yi	yi	NOUN
fbem-21461	98	8	satisfying	satisfy	VERB
fbem-21461	98	9	yi	yi	PROPN
fbem-21461	98	10	<	<	X
fbem-21461	98	11	li	li	PROPN
fbem-21461	98	12	.	.	PROPN
fbem-21461	98	13	definition	definition	NOUN
fbem-21461	98	14	4	4	NUM
fbem-21461	98	15	:	:	PUNCT
fbem-21461	98	16	a	a	DET
fbem-21461	98	17	(	(	PUNCT
fbem-21461	98	18	d	d	NOUN
fbem-21461	98	19	,	,	PUNCT
fbem-21461	98	20	a(x	a(x	NOUN
fbem-21461	98	21	)	)	PUNCT
fbem-21461	98	22	,	,	PUNCT
fbem-21461	98	23	c)-mcv	c)-mcv	X
fbem-21461	98	24	is	be	AUX
fbem-21461	98	25	a	a	DET
fbem-21461	98	26	capacity	capacity	NOUN
fbem-21461	98	27	vector	vector	NOUN
fbem-21461	98	28	y	y	PROPN
fbem-21461	98	29	,	,	PUNCT
fbem-21461	98	30	that	that	PRON
fbem-21461	98	31	satisfies	satisfy	VERB
fbem-21461	98	32	l	l	PUNCT
fbem-21461	98	33	for	for	ADP
fbem-21461	98	34	any	any	DET
fbem-21461	98	35	l	l	NOUN
fbem-21461	98	36	<	<	X
fbem-21461	98	37	y.	y.	NOUN
fbem-21461	98	38	suppose	suppose	VERB
fbem-21461	98	39	there	there	PRON
fbem-21461	98	40	are	be	VERB
fbem-21461	98	41	q	q	X
fbem-21461	98	42	(	(	PUNCT
fbem-21461	98	43	d	d	NOUN
fbem-21461	98	44	,	,	PUNCT
fbem-21461	98	45	a(x	a(x	NOUN
fbem-21461	98	46	)	)	PUNCT
fbem-21461	98	47	,	,	PUNCT
fbem-21461	98	48	c)-mcvs	c)-mcvs	PROPN
fbem-21461	98	49	:	:	PUNCT
fbem-21461	98	50	y1	y1	NOUN
fbem-21461	98	51	,	,	PUNCT
fbem-21461	98	52	y2	y2	INTJ
fbem-21461	98	53	,	,	PUNCT
fbem-21461	98	54	...	...	PUNCT
fbem-21461	98	55	,	,	PUNCT
fbem-21461	98	56	yq	yq	PROPN
fbem-21461	98	57	,	,	PUNCT
fbem-21461	98	58	then	then	ADV
fbem-21461	98	59			PROPN
fbem-21461	98	60	is	be	AUX
fbem-21461	98	61	the	the	DET
fbem-21461	98	62	set	set	NOUN
fbem-21461	98	63	of	of	ADP
fbem-21461	98	64	these	these	DET
fbem-21461	98	65	vectors	vector	NOUN
fbem-21461	98	66	,	,	PUNCT
fbem-21461	98	67	i.e.	i.e.	X
fbem-21461	98	68	,	,	PUNCT
fbem-21461	98	69			PROPN
fbem-21461	98	70	=	=	PUNCT
fbem-21461	98	71	⋃	⋃	PROPN
fbem-21461	98	72	y|y	y|y	PROPN
fbem-21461	98	73	≥	≥	NUM
fbem-21461	99	1	yi	yi	PROPN
fbem-21461	99	2	q	q	PROPN
fbem-21461	100	1	i=1	i=1	PROPN
fbem-21461	100	2	.	.	PUNCT
fbem-21461	101	1	therefore	therefore	ADV
fbem-21461	101	2	rd	rd	PROPN
fbem-21461	101	3	,	,	PUNCT
fbem-21461	101	4	a(x),c	a(x),c	PROPN
fbem-21461	101	5	=	=	PUNCT
fbem-21461	101	6	∑	∑	PUNCT
fbem-21461	101	7	pr(y)y	pr(y)y	X
fbem-21461	101	8	=	=	NOUN
fbem-21461	101	9	pr	pr	NOUN
fbem-21461	101	10	⋃	⋃	PROPN
fbem-21461	101	11	y|y	y|y	PROPN
fbem-21461	101	12	≥	≥	NUM
fbem-21461	102	1	yi	yi	PROPN
fbem-21461	103	1	q	q	PROPN
fbem-21461	104	1	i=1	i=1	INTJ
fbem-21461	104	2	.	.	PUNCT
fbem-21461	105	1	in	in	ADP
fbem-21461	105	2	particular	particular	ADJ
fbem-21461	105	3	,	,	PUNCT
fbem-21461	105	4	if	if	SCONJ
fbem-21461	105	5			PROPN
fbem-21461	105	6	=	=	SYM
fbem-21461	105	7	ø	ø	PROPN
fbem-21461	105	8	,	,	PUNCT
fbem-21461	105	9	then	then	ADV
fbem-21461	105	10	rd	rd	PROPN
fbem-21461	105	11	,	,	PUNCT
fbem-21461	105	12	a(x),c	a(x),c	PROPN
fbem-21461	105	13	=	=	SYM
fbem-21461	105	14	0	0	PROPN
fbem-21461	105	15	.	.	PUNCT
fbem-21461	105	16	pr	pr	PROPN
fbem-21461	105	17	⋃	⋃	PROPN
fbem-21461	105	18	y|y	y|y	PROPN
fbem-21461	105	19	≥	≥	NUM
fbem-21461	106	1	yi	yi	PROPN
fbem-21461	106	2	q	q	PROPN
fbem-21461	107	1	i=1	i=1	PROPN
fbem-21461	107	2	can	can	AUX
fbem-21461	107	3	be	be	AUX
fbem-21461	107	4	computed	compute	VERB
fbem-21461	107	5	by	by	ADP
fbem-21461	107	6	the	the	DET
fbem-21461	107	7	recursive	recursive	ADJ
fbem-21461	107	8	sum	sum	NOUN
fbem-21461	107	9	of	of	ADP
fbem-21461	107	10	disjoint	disjoint	NOUN
fbem-21461	107	11	product	product	NOUN
fbem-21461	107	12	(	(	PUNCT
fbem-21461	107	13	rsdp	rsdp	NOUN
fbem-21461	107	14	)	)	PUNCT
fbem-21461	107	15	method	method	NOUN
fbem-21461	107	16	.	.	PUNCT
fbem-21461	108	1	the	the	DET
fbem-21461	108	2	current	current	ADJ
fbem-21461	108	3	problem	problem	NOUN
fbem-21461	108	4	is	be	AUX
fbem-21461	108	5	to	to	PART
fbem-21461	108	6	determine	determine	VERB
fbem-21461	108	7	all	all	PRON
fbem-21461	108	8	(	(	PUNCT
fbem-21461	108	9	d	d	NOUN
fbem-21461	108	10	,	,	PUNCT
fbem-21461	108	11	a(x	a(x	NOUN
fbem-21461	108	12	)	)	PUNCT
fbem-21461	108	13	,	,	PUNCT
fbem-21461	108	14	c)-mcvs	c)-mcvs	PROPN
fbem-21461	108	15	.	.	PROPN
fbem-21461	109	1	based	base	VERB
fbem-21461	109	2	on	on	ADP
fbem-21461	109	3	definition	definition	NOUN
fbem-21461	109	4	1	1	NUM
fbem-21461	109	5	and	and	CCONJ
fbem-21461	109	6	definition	definition	NOUN
fbem-21461	109	7	4	4	NUM
fbem-21461	109	8	,	,	PUNCT
fbem-21461	109	9	if	if	SCONJ
fbem-21461	109	10	y	y	PROPN
fbem-21461	109	11	is	be	AUX
fbem-21461	109	12	a	a	DET
fbem-21461	109	13	(	(	PUNCT
fbem-21461	109	14	d	d	NOUN
fbem-21461	109	15	,	,	PUNCT
fbem-21461	109	16	a(x	a(x	NOUN
fbem-21461	109	17	)	)	PUNCT
fbem-21461	109	18	,	,	PUNCT
fbem-21461	109	19	c)mcv	c)mcv	PROPN
fbem-21461	109	20	,	,	PUNCT
fbem-21461	109	21	then	then	ADV
fbem-21461	109	22	this	this	PRON
fbem-21461	109	23	implies	imply	VERB
fbem-21461	109	24	that	that	SCONJ
fbem-21461	109	25	there	there	PRON
fbem-21461	109	26	exists	exist	VERB
fbem-21461	109	27	a	a	DET
fbem-21461	109	28	feasible	feasible	ADJ
fbem-21461	109	29	actual	actual	ADJ
fbem-21461	109	30	flow	flow	NOUN
fbem-21461	109	31	vector	vector	NOUN
fbem-21461	109	32	kky	kky	NOUN
fbem-21461	109	33	satisfying	satisfying	ADJ
fbem-21461	109	34	(	(	PUNCT
fbem-21461	109	35	d	d	NOUN
fbem-21461	109	36	,	,	PUNCT
fbem-21461	109	37	a(x	a(x	NOUN
fbem-21461	109	38	)	)	PUNCT
fbem-21461	109	39	,	,	PUNCT
fbem-21461	109	40	c	c	X
fbem-21461	109	41	)	)	PUNCT
fbem-21461	109	42	therefore	therefore	ADV
fbem-21461	109	43	,	,	PUNCT
fbem-21461	109	44	the	the	DET
fbem-21461	109	45	actual	actual	ADJ
fbem-21461	109	46	flow	flow	NOUN
fbem-21461	109	47	vector	vector	NOUN
fbem-21461	109	48	k	k	PROPN
fbem-21461	109	49	can	can	AUX
fbem-21461	109	50	be	be	AUX
fbem-21461	109	51	converted	convert	VERB
fbem-21461	109	52	to	to	ADP
fbem-21461	109	53	the	the	DET
fbem-21461	109	54	corresponding	corresponding	ADJ
fbem-21461	109	55	capacity	capacity	NOUN
fbem-21461	109	56	vector	vector	NOUN
fbem-21461	109	57	under	under	ADP
fbem-21461	109	58	the	the	DET
fbem-21461	109	59	maximum	maximum	ADJ
fbem-21461	109	60	capacity	capacity	NOUN
fbem-21461	109	61	vector	vector	NOUN
fbem-21461	109	62	mx	mx	PROPN
fbem-21461	109	63	by	by	ADP
fbem-21461	109	64	the	the	DET
fbem-21461	109	65	following	follow	VERB
fbem-21461	109	66	equation	equation	NOUN
fbem-21461	109	67	.	.	PUNCT
fbem-21461	110	1	yi	yi	PROPN
fbem-21461	111	1	=	=	PROPN
fbem-21461	111	2	cixi	cixi	PROPN
fbem-21461	111	3	(	(	PUNCT
fbem-21461	111	4	h	h	NOUN
fbem-21461	111	5	)	)	PUNCT
fbem-21461	111	6	,	,	PUNCT
fbem-21461	111	7	cixi	cixi	PROPN
fbem-21461	111	8	(	(	PUNCT
fbem-21461	111	9	h-1	h-1	PROPN
fbem-21461	111	10	)	)	PUNCT
fbem-21461	111	11	<	<	X
fbem-21461	112	1	w	w	X
fbem-21461	112	2	∑	∑	PROPN
fbem-21461	112	3	∑	∑	PROPN
fbem-21461	112	4	kφ	kφ	PROPN
fbem-21461	112	5	,	,	PUNCT
fbem-21461	112	6	jj	jj	PROPN
fbem-21461	112	7	:	:	PUNCT
fbem-21461	112	8	ripφ	ripφ	PROPN
fbem-21461	112	9	,	,	PUNCT
fbem-21461	112	10	j	j	PROPN
fbem-21461	112	11	t	t	PROPN
fbem-21461	112	12	φ=1	φ=1	PROPN
fbem-21461	112	13	≤	≤	PROPN
fbem-21461	112	14	cixi	cixi	PROPN
fbem-21461	112	15	(	(	PUNCT
fbem-21461	112	16	h	h	NOUN
fbem-21461	112	17	)	)	PUNCT
fbem-21461	112	18	(	(	PUNCT
fbem-21461	112	19	10	10	NUM
fbem-21461	112	20	)	)	PUNCT
fbem-21461	112	21	obviously	obviously	ADV
fbem-21461	112	22	,	,	PUNCT
fbem-21461	112	23	any	any	DET
fbem-21461	112	24	y	y	NOUN
fbem-21461	112	25	that	that	PRON
fbem-21461	112	26	satisfies	satisfy	VERB
fbem-21461	112	27	the	the	DET
fbem-21461	112	28	condition	condition	NOUN
fbem-21461	112	29	(	(	PUNCT
fbem-21461	112	30	d	d	NOUN
fbem-21461	112	31	,	,	PUNCT
fbem-21461	112	32	a(x	a(x	NOUN
fbem-21461	112	33	)	)	PUNCT
fbem-21461	112	34	,	,	PUNCT
fbem-21461	112	35	c	c	X
fbem-21461	112	36	)	)	PUNCT
fbem-21461	112	37	is	be	AUX
fbem-21461	112	38	derived	derive	VERB
fbem-21461	112	39	from	from	ADP
fbem-21461	112	40	k	k	PROPN
fbem-21461	112	41	kmx	kmx	NOUN
fbem-21461	112	42	by	by	ADP
fbem-21461	112	43	the	the	DET
fbem-21461	112	44	transformation	transformation	NOUN
fbem-21461	112	45	of	of	ADP
fbem-21461	112	46	eq	eq	PROPN
fbem-21461	112	47	.	.	PUNCT
fbem-21461	113	1	(	(	PUNCT
fbem-21461	113	2	10	10	NUM
fbem-21461	113	3	)	)	PUNCT
fbem-21461	113	4	.	.	PUNCT
fbem-21461	114	1	therefore	therefore	ADV
fbem-21461	114	2	,	,	PUNCT
fbem-21461	114	3	such	such	DET
fbem-21461	114	4	a	a	DET
fbem-21461	114	5	capacity	capacity	NOUN
fbem-21461	114	6	vector	vector	NOUN
fbem-21461	114	7	y	y	PROPN
fbem-21461	114	8	is	be	AUX
fbem-21461	114	9	regarded	regard	VERB
fbem-21461	114	10	as	as	ADP
fbem-21461	114	11	a	a	DET
fbem-21461	114	12	candidate	candidate	NOUN
fbem-21461	114	13	(	(	PUNCT
fbem-21461	114	14	d	d	NOUN
fbem-21461	114	15	,	,	PUNCT
fbem-21461	114	16	a(x	a(x	NOUN
fbem-21461	114	17	)	)	PUNCT
fbem-21461	114	18	,	,	PUNCT
fbem-21461	114	19	c)-mcv	c)-mcv	PROPN
fbem-21461	114	20	.	.	PUNCT
fbem-21461	115	1	to	to	PART
fbem-21461	115	2	further	far	ADV
fbem-21461	115	3	understand	understand	VERB
fbem-21461	115	4	the	the	DET
fbem-21461	115	5	relationship	relationship	NOUN
fbem-21461	115	6	between	between	ADP
fbem-21461	115	7	candidate	candidate	NOUN
fbem-21461	115	8	(	(	PUNCT
fbem-21461	115	9	d	d	PROPN
fbem-21461	115	10	,	,	PUNCT
fbem-21461	115	11	a(x	a(x	NOUN
fbem-21461	115	12	)	)	PUNCT
fbem-21461	115	13	,	,	PUNCT
fbem-21461	115	14	c)-mcv	c)-mcv	PUNCT
fbem-21461	115	15	and	and	CCONJ
fbem-21461	115	16	(	(	PUNCT
fbem-21461	115	17	d	d	NOUN
fbem-21461	115	18	,	,	PUNCT
fbem-21461	115	19	a(x	a(x	NOUN
fbem-21461	115	20	)	)	PUNCT
fbem-21461	115	21	,	,	PUNCT
fbem-21461	115	22	c)-mcv	c)-mcv	X
fbem-21461	115	23	theorem	theorem	VERB
fbem-21461	115	24	2	2	NUM
fbem-21461	115	25	illustrates	illustrate	VERB
fbem-21461	115	26	the	the	DET
fbem-21461	115	27	relationship	relationship	NOUN
fbem-21461	115	28	.	.	PUNCT
fbem-21461	116	1	theorem	theorem	VERB
fbem-21461	116	2	2	2	NUM
fbem-21461	116	3	:	:	PUNCT
fbem-21461	116	4	if	if	SCONJ
fbem-21461	116	5	y	y	PROPN
fbem-21461	116	6	is	be	AUX
fbem-21461	116	7	a	a	DET
fbem-21461	116	8	(	(	PUNCT
fbem-21461	116	9	d	d	NOUN
fbem-21461	116	10	,	,	PUNCT
fbem-21461	116	11	a(x	a(x	NOUN
fbem-21461	116	12	)	)	PUNCT
fbem-21461	116	13	,	,	PUNCT
fbem-21461	116	14	c)-mcv	c)-mcv	PROPN
fbem-21461	116	15	,	,	PUNCT
fbem-21461	116	16	then	then	ADV
fbem-21461	116	17	there	there	PRON
fbem-21461	116	18	exists	exist	VERB
fbem-21461	116	19	at	at	ADP
fbem-21461	116	20	least	least	ADV
fbem-21461	116	21	one	one	NUM
fbem-21461	116	22	feasible	feasible	ADJ
fbem-21461	116	23	actual	actual	ADJ
fbem-21461	116	24	flow	flow	NOUN
fbem-21461	116	25	vector	vector	NOUN
fbem-21461	116	26	kkmx	kkmx	NOUN
fbem-21461	116	27	that	that	PRON
fbem-21461	116	28	satisfies	satisfy	VERB
fbem-21461	116	29	(	(	PUNCT
fbem-21461	116	30	d	d	NOUN
fbem-21461	116	31	,	,	PUNCT
fbem-21461	116	32	a(x	a(x	NOUN
fbem-21461	116	33	)	)	PUNCT
fbem-21461	116	34	,	,	PUNCT
fbem-21461	116	35	c	c	NOUN
fbem-21461	116	36	)	)	PUNCT
fbem-21461	116	37	and	and	CCONJ
fbem-21461	116	38	that	that	PRON
fbem-21461	116	39	is	be	AUX
fbem-21461	116	40	transformed	transform	VERB
fbem-21461	116	41	by	by	ADP
fbem-21461	116	42	eq	eq	PROPN
fbem-21461	116	43	.	.	PUNCT
fbem-21461	117	1	(	(	PUNCT
fbem-21461	117	2	10	10	NUM
fbem-21461	117	3	)	)	PUNCT
fbem-21461	117	4	.	.	PUNCT
fbem-21461	118	1	proof	proof	NOUN
fbem-21461	118	2	:	:	PUNCT
fbem-21461	118	3	if	if	SCONJ
fbem-21461	118	4	y	y	PROPN
fbem-21461	118	5	is	be	AUX
fbem-21461	118	6	a	a	DET
fbem-21461	118	7	(	(	PUNCT
fbem-21461	118	8	d	d	NOUN
fbem-21461	118	9	,	,	PUNCT
fbem-21461	118	10	a(x	a(x	NOUN
fbem-21461	118	11	)	)	PUNCT
fbem-21461	118	12	,	,	PUNCT
fbem-21461	118	13	c)-mcv	c)-mcv	PROPN
fbem-21461	118	14	,	,	PUNCT
fbem-21461	118	15	then	then	ADV
fbem-21461	118	16	there	there	PRON
fbem-21461	118	17	exists	exist	VERB
fbem-21461	118	18	at	at	ADP
fbem-21461	118	19	least	least	ADV
fbem-21461	118	20	one	one	NUM
fbem-21461	118	21	real	real	ADJ
fbem-21461	118	22	flow	flow	NOUN
fbem-21461	118	23	vector	vector	NOUN
fbem-21461	118	24	kky	kky	NOUN
fbem-21461	118	25	that	that	PRON
fbem-21461	118	26	satisfies	satisfy	VERB
fbem-21461	118	27	(	(	PUNCT
fbem-21461	118	28	d	d	NOUN
fbem-21461	118	29	,	,	PUNCT
fbem-21461	118	30	a(x	a(x	NOUN
fbem-21461	118	31	)	)	PUNCT
fbem-21461	118	32	,	,	PUNCT
fbem-21461	118	33	c	c	NOUN
fbem-21461	118	34	)	)	PUNCT
fbem-21461	118	35	.	.	PUNCT
fbem-21461	119	1	obviously	obviously	ADV
fbem-21461	119	2	,	,	PUNCT
fbem-21461	119	3	this	this	PRON
fbem-21461	119	4	also	also	ADV
fbem-21461	119	5	implies	imply	VERB
fbem-21461	119	6	that	that	SCONJ
fbem-21461	119	7	kkmx	kkmx	NOUN
fbem-21461	119	8	,	,	PUNCT
fbem-21461	119	9	which	which	PRON
fbem-21461	119	10	leads	lead	VERB
fbem-21461	119	11	to	to	ADP
fbem-21461	119	12	the	the	DET
fbem-21461	119	13	constraint	constraint	NOUN
fbem-21461	119	14	being	be	AUX
fbem-21461	119	15	satisfied	satisfied	ADJ
fbem-21461	119	16	w	w	ADP
fbem-21461	119	17	∑	∑	PROPN
fbem-21461	119	18	∑	∑	PROPN
fbem-21461	119	19	k	k	PROPN
fbem-21461	119	20	φ	φ	PROPN
fbem-21461	119	21	,	,	PUNCT
fbem-21461	119	22	jj	jj	PROPN
fbem-21461	119	23	:	:	PUNCT
fbem-21461	119	24	ripφ	ripφ	PROPN
fbem-21461	119	25	,	,	PUNCT
fbem-21461	119	26	j	j	PROPN
fbem-21461	119	27	t	t	PROPN
fbem-21461	119	28	φ=1	φ=1	PROPN
fbem-21461	119	29	≤	≤	PUNCT
fbem-21461	119	30	yi	yi	NOUN
fbem-21461	119	31	for	for	ADP
fbem-21461	119	32	each	each	DET
fbem-21461	119	33	i	i	PRON
fbem-21461	119	34	,	,	PUNCT
fbem-21461	119	35	where	where	SCONJ
fbem-21461	119	36	i	i	PRON
fbem-21461	119	37	=	=	NOUN
fbem-21461	119	38	1	1	NUM
fbem-21461	119	39	,	,	PUNCT
fbem-21461	119	40	2	2	NUM
fbem-21461	119	41	,	,	PUNCT
fbem-21461	119	42	...	...	PUNCT
fbem-21461	119	43	,	,	PUNCT
fbem-21461	119	44	n.	n.	PROPN
fbem-21461	119	45	suppose	suppose	VERB
fbem-21461	119	46	there	there	PRON
fbem-21461	119	47	exists	exist	VERB
fbem-21461	119	48	an	an	DET
fbem-21461	119	49	route	route	NOUN
fbem-21461	119	50	ro	ro	NOUN
fbem-21461	119	51	with	with	ADP
fbem-21461	119	52	yo	yo	PROPN
fbem-21461	119	53	>	>	X
fbem-21461	119	54	coxo	coxo	PROPN
fbem-21461	119	55	(	(	PUNCT
fbem-21461	119	56	h	h	NOUN
fbem-21461	119	57	)	)	PUNCT
fbem-21461	119	58	≥	≥	PROPN
fbem-21461	119	59	w	w	ADP
fbem-21461	119	60	∑	∑	PROPN
fbem-21461	119	61	∑	∑	PROPN
fbem-21461	119	62	kφ	kφ	PROPN
fbem-21461	119	63	,	,	PUNCT
fbem-21461	119	64	jj	jj	PROPN
fbem-21461	119	65	:	:	PUNCT
fbem-21461	119	66	ripφ	ripφ	PROPN
fbem-21461	119	67	,	,	PUNCT
fbem-21461	119	68	j	j	PROPN
fbem-21461	119	69	t	t	PROPN
fbem-21461	119	70	φ=1	φ=1	PROPN
fbem-21461	119	71	>	>	X
fbem-21461	119	72	coxo	coxo	PROPN
fbem-21461	119	73	(	(	PUNCT
fbem-21461	119	74	h-1	h-1	PROPN
fbem-21461	119	75	)	)	PUNCT
fbem-21461	119	76	and	and	CCONJ
fbem-21461	119	77	there	there	PRON
fbem-21461	119	78	is	be	VERB
fbem-21461	119	79	yi	yi	PROPN
fbem-21461	119	80	=	=	SYM
fbem-21461	119	81	cixi	cixi	PROPN
fbem-21461	119	82	(	(	PUNCT
fbem-21461	119	83	h	h	NOUN
fbem-21461	119	84	)	)	PUNCT
fbem-21461	119	85	≥	≥	PROPN
fbem-21461	119	86	w	w	ADP
fbem-21461	119	87	∑	∑	PROPN
fbem-21461	119	88	∑	∑	PROPN
fbem-21461	119	89	kφ	kφ	PROPN
fbem-21461	119	90	,	,	PUNCT
fbem-21461	119	91	jj	jj	PROPN
fbem-21461	119	92	:	:	PUNCT
fbem-21461	119	93	ripφ	ripφ	PROPN
fbem-21461	119	94	,	,	PUNCT
fbem-21461	119	95	j	j	PROPN
fbem-21461	119	96	t	t	PROPN
fbem-21461	119	97	φ=1	φ=1	PROPN
fbem-21461	119	98	for	for	ADP
fbem-21461	119	99	any	any	DET
fbem-21461	119	100	i	i	PRON
fbem-21461	119	101	≠	≠	PROPN
fbem-21461	119	102	o.	o.	NOUN
fbem-21461	119	103	furthermore	furthermore	ADV
fbem-21461	119	104	,	,	PUNCT
fbem-21461	119	105	there	there	PRON
fbem-21461	119	106	exists	exist	VERB
fbem-21461	119	107	a	a	DET
fbem-21461	119	108	capacity	capacity	NOUN
fbem-21461	119	109	vector	vector	NOUN
fbem-21461	119	110	l	l	NOUN
fbem-21461	119	111	=	=	SYM
fbem-21461	119	112	(	(	PUNCT
fbem-21461	119	113	l1	l1	PROPN
fbem-21461	119	114	,	,	PUNCT
fbem-21461	119	115	l2	l2	NOUN
fbem-21461	119	116	,	,	PUNCT
fbem-21461	119	117	…	…	PUNCT
fbem-21461	119	118	,	,	PUNCT
fbem-21461	119	119	ln	ln	ADJ
fbem-21461	119	120	)	)	PUNCT
fbem-21461	119	121	with	with	ADP
fbem-21461	119	122	lo	lo	NOUN
fbem-21461	119	123	=	=	PUNCT
fbem-21461	119	124	coxo	coxo	NOUN
fbem-21461	119	125	(	(	PUNCT
fbem-21461	119	126	h	h	NOUN
fbem-21461	119	127	)	)	PUNCT
fbem-21461	119	128	and	and	CCONJ
fbem-21461	119	129	li	li	PROPN
fbem-21461	119	130	=	=	PROPN
fbem-21461	119	131	yi	yi	PROPN
fbem-21461	119	132	for	for	ADP
fbem-21461	119	133	any	any	DET
fbem-21461	119	134	i	i	PRON
fbem-21461	119	135	≠	≠	PROPN
fbem-21461	120	1	o.	o.	NOUN
fbem-21461	120	2	it	it	PRON
fbem-21461	120	3	can	can	AUX
fbem-21461	120	4	be	be	AUX
fbem-21461	120	5	deduced	deduce	VERB
fbem-21461	120	6	that	that	SCONJ
fbem-21461	120	7	l	l	NOUN
fbem-21461	120	8	<	<	X
fbem-21461	120	9	y	y	PROPN
fbem-21461	120	10	,	,	PUNCT
fbem-21461	120	11	and	and	CCONJ
fbem-21461	120	12	satisfies	satisfy	VERB
fbem-21461	120	13	the	the	DET
fbem-21461	120	14	constraint	constraint	NOUN
fbem-21461	120	15	w	w	ADP
fbem-21461	120	16	∑	∑	PROPN
fbem-21461	120	17	∑	∑	PROPN
fbem-21461	120	18	k	k	PROPN
fbem-21461	120	19	φ	φ	PROPN
fbem-21461	120	20	,	,	PUNCT
fbem-21461	120	21	jj	jj	PROPN
fbem-21461	120	22	:	:	PUNCT
fbem-21461	120	23	ripφ	ripφ	PROPN
fbem-21461	120	24	,	,	PUNCT
fbem-21461	120	25	j	j	PROPN
fbem-21461	120	26	t	t	PROPN
fbem-21461	120	27	φ=1	φ=1	PROPN
fbem-21461	120	28	≤	≤	PUNCT
fbem-21461	120	29	li	li	NOUN
fbem-21461	120	30	for	for	ADP
fbem-21461	120	31	each	each	DET
fbem-21461	120	32	i.	i.	NOUN
fbem-21461	120	33	therefore	therefore	ADV
fbem-21461	120	34	,	,	PUNCT
fbem-21461	120	35	the	the	DET
fbem-21461	120	36	actual	actual	ADJ
fbem-21461	120	37	flow	flow	NOUN
fbem-21461	120	38	vector	vector	NOUN
fbem-21461	120	39	k	k	PROPN
fbem-21461	120	40	is	be	AUX
fbem-21461	120	41	feasible	feasible	ADJ
fbem-21461	120	42	under	under	ADP
fbem-21461	120	43	the	the	DET
fbem-21461	120	44	capacity	capacity	NOUN
fbem-21461	120	45	vector	vector	NOUN
fbem-21461	120	46	l.	l.	PROPN
fbem-21461	120	47	this	this	PRON
fbem-21461	120	48	indicates	indicate	VERB
fbem-21461	120	49	l	l	NOUN
fbem-21461	120	50	and	and	CCONJ
fbem-21461	120	51	contradicts	contradict	VERB
fbem-21461	120	52	that	that	SCONJ
fbem-21461	120	53	y	y	PROPN
fbem-21461	120	54	is	be	AUX
fbem-21461	120	55	a	a	DET
fbem-21461	120	56	(	(	PUNCT
fbem-21461	120	57	d	d	NOUN
fbem-21461	120	58	,	,	PUNCT
fbem-21461	120	59	a(x	a(x	NOUN
fbem-21461	120	60	)	)	PUNCT
fbem-21461	120	61	,	,	PUNCT
fbem-21461	120	62	c)-mcv	c)-mcv	PROPN
fbem-21461	120	63	.	.	PUNCT
fbem-21461	121	1	according	accord	VERB
fbem-21461	121	2	to	to	ADP
fbem-21461	121	3	theorem	theorem	ADJ
fbem-21461	121	4	2	2	NUM
fbem-21461	121	5	,	,	PUNCT
fbem-21461	121	6	any	any	DET
fbem-21461	121	7	(	(	PUNCT
fbem-21461	121	8	d	d	NOUN
fbem-21461	121	9	,	,	PUNCT
fbem-21461	121	10	a(x	a(x	NOUN
fbem-21461	121	11	)	)	PUNCT
fbem-21461	121	12	,	,	PUNCT
fbem-21461	121	13	c)-mcv	c)-mcv	X
fbem-21461	121	14	can	can	AUX
fbem-21461	121	15	be	be	AUX
fbem-21461	121	16	transformed	transform	VERB
fbem-21461	121	17	by	by	ADP
fbem-21461	121	18	the	the	DET
fbem-21461	121	19	kkmx	kkmx	NOUN
fbem-21461	121	20	satisfying	satisfy	VERB
fbem-21461	121	21	(	(	PUNCT
fbem-21461	121	22	d	d	NOUN
fbem-21461	121	23	,	,	PUNCT
fbem-21461	121	24	a(x	a(x	NOUN
fbem-21461	121	25	)	)	PUNCT
fbem-21461	121	26	,	,	PUNCT
fbem-21461	121	27	c	c	NOUN
fbem-21461	121	28	)	)	PUNCT
fbem-21461	121	29	.	.	PUNCT
fbem-21461	122	1	note	note	VERB
fbem-21461	122	2	that	that	SCONJ
fbem-21461	122	3	the	the	DET
fbem-21461	122	4	capacity	capacity	NOUN
fbem-21461	122	5	vector	vector	NOUN
fbem-21461	122	6	y	y	PROPN
fbem-21461	122	7	converted	convert	VERB
fbem-21461	122	8	by	by	ADP
fbem-21461	122	9	the	the	DET
fbem-21461	122	10	actual	actual	ADJ
fbem-21461	122	11	flow	flow	NOUN
fbem-21461	122	12	vector	vector	NOUN
fbem-21461	122	13	kkmx	kkmx	NOUN
fbem-21461	122	14	may	may	AUX
fbem-21461	122	15	not	not	PART
fbem-21461	122	16	be	be	AUX
fbem-21461	122	17	a	a	DET
fbem-21461	122	18	true	true	ADJ
fbem-21461	122	19	(	(	PUNCT
fbem-21461	122	20	d	d	NOUN
fbem-21461	122	21	,	,	PUNCT
fbem-21461	122	22	a(x	a(x	NOUN
fbem-21461	122	23	)	)	PUNCT
fbem-21461	122	24	,	,	PUNCT
fbem-21461	122	25	c)-mcv	c)-mcv	NOUN
fbem-21461	122	26	,	,	PUNCT
fbem-21461	122	27	and	and	CCONJ
fbem-21461	122	28	thus	thus	ADV
fbem-21461	122	29	is	be	AUX
fbem-21461	122	30	regarded	regard	VERB
fbem-21461	122	31	as	as	ADP
fbem-21461	122	32	a	a	DET
fbem-21461	122	33	candidate	candidate	NOUN
fbem-21461	122	34	(	(	PUNCT
fbem-21461	122	35	d	d	NOUN
fbem-21461	122	36	,	,	PUNCT
fbem-21461	122	37	a(x	a(x	NOUN
fbem-21461	122	38	)	)	PUNCT
fbem-21461	122	39	,	,	PUNCT
fbem-21461	122	40	c)-mcv	c)-mcv	PROPN
fbem-21461	122	41	.	.	PUNCT
fbem-21461	123	1	for	for	ADP
fbem-21461	123	2	convenience	convenience	NOUN
fbem-21461	123	3	,	,	PUNCT
fbem-21461	123	4	assume	assume	VERB
fbem-21461	123	5	that	that	SCONJ
fbem-21461	123	6	ф	ф	PROPN
fbem-21461	123	7	is	be	AUX
fbem-21461	123	8	the	the	DET
fbem-21461	123	9	set	set	NOUN
fbem-21461	123	10	of	of	ADP
fbem-21461	123	11	all	all	DET
fbem-21461	123	12	candidate	candidate	NOUN
fbem-21461	123	13	(	(	PUNCT
fbem-21461	123	14	d	d	NOUN
fbem-21461	123	15	,	,	PUNCT
fbem-21461	123	16	a(x	a(x	NOUN
fbem-21461	123	17	)	)	PUNCT
fbem-21461	123	18	,	,	PUNCT
fbem-21461	123	19	c)-mcvs	c)-mcvs	NOUN
fbem-21461	123	20	,	,	PUNCT
fbem-21461	123	21	and	and	CCONJ
fbem-21461	123	22	фmin	фmin	NOUN
fbem-21461	123	23	is	be	AUX
fbem-21461	123	24	the	the	DET
fbem-21461	123	25	set	set	NOUN
fbem-21461	123	26	of	of	ADP
fbem-21461	123	27	ф	ф	PROPN
fbem-21461	123	28	in	in	ADP
fbem-21461	123	29	which	which	PRON
fbem-21461	123	30	set	set	NOUN
fbem-21461	123	31	of	of	ADP
fbem-21461	123	32	all	all	DET
fbem-21461	123	33	(	(	PUNCT
fbem-21461	123	34	d	d	NOUN
fbem-21461	123	35	,	,	PUNCT
fbem-21461	123	36	a(x	a(x	NOUN
fbem-21461	123	37	)	)	PUNCT
fbem-21461	123	38	,	,	PUNCT
fbem-21461	123	39	c)-mcvs	c)-mcvs	PROPN
fbem-21461	123	40	,	,	PUNCT
fbem-21461	123	41	then	then	ADV
fbem-21461	123	42	the	the	DET
fbem-21461	123	43	following	follow	VERB
fbem-21461	123	44	theorem	theorem	NOUN
fbem-21461	123	45	shows	show	NOUN
fbem-21461	123	46	that	that	SCONJ
fbem-21461	123	47	фmin	фmin	NOUN
fbem-21461	123	48	is	be	AUX
fbem-21461	123	49	the	the	DET
fbem-21461	123	50	set	set	NOUN
fbem-21461	123	51	of	of	ADP
fbem-21461	123	52	all	all	PRON
fbem-21461	123	53	(	(	PUNCT
fbem-21461	123	54	d	d	NOUN
fbem-21461	123	55	,	,	PUNCT
fbem-21461	123	56	a(x	a(x	NOUN
fbem-21461	123	57	)	)	PUNCT
fbem-21461	123	58	,	,	PUNCT
fbem-21461	123	59	c)-mcvs	c)-mcvs	PROPN
fbem-21461	123	60	.	.	PUNCT
fbem-21461	124	1	theorem	theorem	VERB
fbem-21461	124	2	3	3	NUM
fbem-21461	124	3	:	:	PUNCT
fbem-21461	124	4	фmin	фmin	NOUN
fbem-21461	124	5	is	be	AUX
fbem-21461	124	6	the	the	DET
fbem-21461	124	7	set	set	NOUN
fbem-21461	124	8	of	of	ADP
fbem-21461	124	9	all	all	DET
fbem-21461	124	10	(	(	PUNCT
fbem-21461	124	11	d	d	NOUN
fbem-21461	124	12	,	,	PUNCT
fbem-21461	124	13	a(x	a(x	NOUN
fbem-21461	124	14	)	)	PUNCT
fbem-21461	124	15	,	,	PUNCT
fbem-21461	124	16	c)-mcvs	c)-mcvs	PROPN
fbem-21461	124	17	.	.	PUNCT
fbem-21461	125	1	proof	proof	NOUN
fbem-21461	125	2	:	:	PUNCT
fbem-21461	125	3	suppose	suppose	VERB
fbem-21461	125	4	y	y	PROPN
fbem-21461	125	5	is	be	AUX
fbem-21461	125	6	a	a	DET
fbem-21461	125	7	(	(	PUNCT
fbem-21461	125	8	d	d	NOUN
fbem-21461	125	9	,	,	PUNCT
fbem-21461	125	10	a(x	a(x	NOUN
fbem-21461	125	11	)	)	PUNCT
fbem-21461	125	12	,	,	PUNCT
fbem-21461	125	13	c)-mcv	c)-mcv	NOUN
fbem-21461	125	14	,	,	PUNCT
fbem-21461	125	15	but	but	CCONJ
fbem-21461	125	16	yфmin	yфmin	NOUN
fbem-21461	125	17	,	,	PUNCT
fbem-21461	125	18	which	which	PRON
fbem-21461	125	19	implies	imply	VERB
fbem-21461	125	20	there	there	PRON
fbem-21461	125	21	exists	exist	VERB
fbem-21461	125	22	a	a	DET
fbem-21461	125	23	lф	lф	PUNCT
fbem-21461	125	24	such	such	ADJ
fbem-21461	125	25	that	that	SCONJ
fbem-21461	125	26	l	l	NOUN
fbem-21461	125	27	<	<	X
fbem-21461	125	28	y.	y.	PROPN
fbem-21461	125	29	i.e.	i.e.	X
fbem-21461	125	30	,	,	PUNCT
fbem-21461	125	31	the	the	DET
fbem-21461	125	32	capacity	capacity	NOUN
fbem-21461	125	33	vector	vector	NOUN
fbem-21461	125	34	y	y	PROPN
fbem-21461	125	35	is	be	AUX
fbem-21461	125	36	not	not	PART
fbem-21461	125	37	a	a	DET
fbem-21461	125	38	(	(	PUNCT
fbem-21461	125	39	d	d	NOUN
fbem-21461	125	40	,	,	PUNCT
fbem-21461	125	41	a(x	a(x	NOUN
fbem-21461	125	42	)	)	PUNCT
fbem-21461	125	43	,	,	PUNCT
fbem-21461	125	44	c)-mcv	c)-mcv	PROPN
fbem-21461	125	45	.	.	PUNCT
fbem-21461	126	1	therefore	therefore	ADV
fbem-21461	126	2	,	,	PUNCT
fbem-21461	126	3	this	this	DET
fbem-21461	126	4	337	337	NUM
fbem-21461	126	5	table	table	NOUN
fbem-21461	126	6	1	1	NUM
fbem-21461	126	7	.	.	PUNCT
fbem-21461	126	8	data	datum	NOUN
fbem-21461	126	9	for	for	ADP
fbem-21461	126	10	carriers	carrier	NOUN
fbem-21461	126	11	on	on	ADP
fbem-21461	126	12	each	each	DET
fbem-21461	126	13	route	route	NOUN
fbem-21461	126	14	in	in	ADP
fbem-21461	126	15	figure	figure	NOUN
fbem-21461	126	16	1	1	NUM
fbem-21461	126	17	capacity	capacity	NOUN
fbem-21461	126	18	state	state	NOUN
fbem-21461	126	19	(	(	PUNCT
fbem-21461	126	20	teu	teu	PROPN
fbem-21461	126	21	)	)	PUNCT
fbem-21461	126	22	ciu(1)=0	ciu(1)=0	NOUN
fbem-21461	126	23	ciu(2)=1	ciu(2)=1	VERB
fbem-21461	126	24	ciu(3)=2	ciu(3)=2	NOUN
fbem-21461	126	25	ciu(4)=3	ciu(4)=3	NOUN
fbem-21461	126	26	ciu(5)=4	ciu(5)=4	X
fbem-21461	126	27	ri	ri	PROPN
fbem-21461	126	28	eiu	eiu	PROPN
fbem-21461	126	29	oiu	oiu	PROPN
fbem-21461	126	30	(	(	PUNCT
fbem-21461	126	31	usd	usd	PROPN
fbem-21461	126	32	)	)	PUNCT
fbem-21461	126	33	aiu	aiu	VERB
fbem-21461	126	34	state	state	NOUN
fbem-21461	126	35	probability	probability	NOUN
fbem-21461	126	36	r1	r1	NOUN
fbem-21461	126	37	e11	e11	X
fbem-21461	126	38	5	5	NUM
fbem-21461	126	39	0.040	0.040	NUM
fbem-21461	126	40	0.003	0.003	NUM
fbem-21461	126	41	0.004	0.004	NUM
fbem-21461	126	42	0.050	0.050	NUM
fbem-21461	126	43	0.090	0.090	NUM
fbem-21461	126	44	0.853	0.853	NUM
fbem-21461	126	45	e12	e12	NOUN
fbem-21461	126	46	4	4	NUM
fbem-21461	126	47	0.052	0.052	NUM
fbem-21461	126	48	0.015	0.015	NUM
fbem-21461	126	49	0.026	0.026	NUM
fbem-21461	126	50	0.067	0.067	NUM
fbem-21461	126	51	0.892	0.892	NUM
fbem-21461	126	52	0.000	0.000	NUM
fbem-21461	126	53	e13	e13	PROPN
fbem-21461	126	54	3	3	NUM
fbem-21461	126	55	0.061	0.061	NUM
fbem-21461	126	56	0.010	0.010	NUM
fbem-21461	126	57	0.020	0.020	NUM
fbem-21461	126	58	0.070	0.070	NUM
fbem-21461	126	59	0.900	0.900	NUM
fbem-21461	126	60	0.000	0.000	NUM
fbem-21461	126	61	r2	r2	NOUN
fbem-21461	126	62	e21	e21	NUM
fbem-21461	126	63	2	2	NUM
fbem-21461	126	64	0.015	0.015	NUM
fbem-21461	126	65	0.004	0.004	NUM
fbem-21461	126	66	0.005	0.005	NUM
fbem-21461	126	67	0.008	0.008	NUM
fbem-21461	126	68	0.019	0.019	NUM
fbem-21461	126	69	0.964	0.964	NUM
fbem-21461	126	70	e22	e22	PROPN
fbem-21461	126	71	1	1	NUM
fbem-21461	126	72	0.030	0.030	NUM
fbem-21461	126	73	0.021	0.021	NUM
fbem-21461	126	74	0.050	0.050	NUM
fbem-21461	126	75	0.100	0.100	NUM
fbem-21461	126	76	0.829	0.829	NUM
fbem-21461	126	77	0.000	0.000	NUM
fbem-21461	126	78	e23	e23	NOUN
fbem-21461	126	79	1	1	NUM
fbem-21461	126	80	0.021	0.021	NUM
fbem-21461	126	81	0.010	0.010	NUM
fbem-21461	126	82	0.012	0.012	NUM
fbem-21461	126	83	0.978	0.978	NUM
fbem-21461	126	84	0.000	0.000	NUM
fbem-21461	126	85	0.000	0.000	NUM
fbem-21461	126	86	r3	r3	NOUN
fbem-21461	126	87	e31	e31	NOUN
fbem-21461	126	88	2	2	NUM
fbem-21461	126	89	0.022	0.022	NUM
fbem-21461	126	90	0.005	0.005	NUM
fbem-21461	126	91	0.010	0.010	NUM
fbem-21461	126	92	0.030	0.030	NUM
fbem-21461	126	93	0.080	0.080	NUM
fbem-21461	126	94	0.875	0.875	NUM
fbem-21461	126	95	e32	e32	NOUN
fbem-21461	126	96	1	1	NUM
fbem-21461	126	97	0.028	0.028	NUM
fbem-21461	126	98	0.025	0.025	NUM
fbem-21461	126	99	0.080	0.080	NUM
fbem-21461	126	100	0.100	0.100	NUM
fbem-21461	126	101	0.795	0.795	NUM
fbem-21461	126	102	0.000	0.000	NUM
fbem-21461	126	103	e33	e33	PROPN
fbem-21461	126	104	3	3	NUM
fbem-21461	126	105	0.017	0.017	NUM
fbem-21461	126	106	0.010	0.010	NUM
fbem-21461	126	107	0.025	0.025	NUM
fbem-21461	126	108	0.030	0.030	NUM
fbem-21461	126	109	0.034	0.034	NUM
fbem-21461	126	110	0.901	0.901	NUM
fbem-21461	126	111	r4	r4	NOUN
fbem-21461	126	112	e41	e41	NOUN
fbem-21461	126	113	5	5	NUM
fbem-21461	126	114	0.050	0.050	NUM
fbem-21461	126	115	0.020	0.020	NUM
fbem-21461	126	116	0.035	0.035	NUM
fbem-21461	126	117	0.050	0.050	NUM
fbem-21461	126	118	0.070	0.070	NUM
fbem-21461	126	119	0.825	0.825	NUM
fbem-21461	126	120	e42	e42	NUM
fbem-21461	126	121	3	3	NUM
fbem-21461	126	122	0.069	0.069	NUM
fbem-21461	126	123	0.050	0.050	NUM
fbem-21461	126	124	0.130	0.130	NUM
fbem-21461	126	125	0.160	0.160	NUM
fbem-21461	126	126	0.660	0.660	NUM
fbem-21461	126	127	0.000	0.000	NUM
fbem-21461	126	128	e43	e43	NOUN
fbem-21461	126	129	4	4	NUM
fbem-21461	126	130	0.055	0.055	NUM
fbem-21461	126	131	0.040	0.040	NUM
fbem-21461	126	132	0.050	0.050	NUM
fbem-21461	126	133	0.060	0.060	NUM
fbem-21461	126	134	0.850	0.850	NUM
fbem-21461	126	135	0.000	0.000	NUM
fbem-21461	126	136	r5	r5	PROPN
fbem-21461	126	137	e51	e51	VERB
fbem-21461	126	138	4	4	NUM
fbem-21461	126	139	0.051	0.051	NUM
fbem-21461	126	140	0.010	0.010	NUM
fbem-21461	126	141	0.025	0.025	NUM
fbem-21461	126	142	0.045	0.045	NUM
fbem-21461	126	143	0.050	0.050	NUM
fbem-21461	126	144	0.870	0.870	NUM
fbem-21461	126	145	e52	e52	PROPN
fbem-21461	126	146	3	3	NUM
fbem-21461	126	147	0.057	0.057	NUM
fbem-21461	126	148	0.024	0.024	NUM
fbem-21461	126	149	0.040	0.040	NUM
fbem-21461	126	150	0.100	0.100	NUM
fbem-21461	126	151	0.836	0.836	NUM
fbem-21461	126	152	0.000	0.000	NUM
fbem-21461	126	153	e53	e53	PROPN
fbem-21461	126	154	4	4	NUM
fbem-21461	126	155	0.048	0.048	NUM
fbem-21461	126	156	0.005	0.005	NUM
fbem-21461	126	157	0.070	0.070	NUM
fbem-21461	126	158	0.925	0.925	NUM
fbem-21461	126	159	0.000	0.000	NUM
fbem-21461	126	160	0.000	0.000	NUM
fbem-21461	126	161	r6	r6	NOUN
fbem-21461	126	162	e61	e61	NUM
fbem-21461	126	163	2	2	NUM
fbem-21461	126	164	0.059	0.059	NUM
fbem-21461	126	165	0.010	0.010	NUM
fbem-21461	126	166	0.025	0.025	NUM
fbem-21461	126	167	0.045	0.045	NUM
fbem-21461	126	168	0.920	0.920	NUM
fbem-21461	126	169	0.000	0.000	NUM
fbem-21461	126	170	e62	e62	NOUN
fbem-21461	126	171	4	4	NUM
fbem-21461	126	172	0.039	0.039	NUM
fbem-21461	126	173	0.020	0.020	NUM
fbem-21461	126	174	0.050	0.050	NUM
fbem-21461	126	175	0.080	0.080	NUM
fbem-21461	126	176	0.100	0.100	NUM
fbem-21461	126	177	0.750	0.750	NUM
fbem-21461	126	178	e63	e63	NOUN
fbem-21461	126	179	3	3	NUM
fbem-21461	126	180	0.045	0.045	NUM
fbem-21461	126	181	0.015	0.015	NUM
fbem-21461	126	182	0.020	0.020	NUM
fbem-21461	126	183	0.100	0.100	NUM
fbem-21461	126	184	0.865	0.865	NUM
fbem-21461	126	185	0.000	0.000	NUM
fbem-21461	126	186	r7	r7	NOUN
fbem-21461	126	187	e71	e71	NOUN
fbem-21461	126	188	2	2	NUM
fbem-21461	126	189	0.023	0.023	NUM
fbem-21461	126	190	0.010	0.010	NUM
fbem-21461	126	191	0.035	0.035	NUM
fbem-21461	126	192	0.050	0.050	NUM
fbem-21461	126	193	0.070	0.070	NUM
fbem-21461	126	194	0.835	0.835	NUM
fbem-21461	126	195	e72	e72	PROPN
fbem-21461	126	196	3	3	NUM
fbem-21461	126	197	0.016	0.016	NUM
fbem-21461	126	198	0.008	0.008	NUM
fbem-21461	126	199	0.010	0.010	NUM
fbem-21461	126	200	0.015	0.015	NUM
fbem-21461	126	201	0.020	0.020	NUM
fbem-21461	126	202	0.947	0.947	NUM
fbem-21461	126	203	e73	e73	PROPN
fbem-21461	126	204	1	1	NUM
fbem-21461	126	205	0.031	0.031	NUM
fbem-21461	126	206	0.005	0.005	NUM
fbem-21461	126	207	0.040	0.040	NUM
fbem-21461	126	208	0.955	0.955	NUM
fbem-21461	126	209	0.000	0.000	NUM
fbem-21461	126	210	0.000	0.000	NUM
fbem-21461	126	211	conclusion	conclusion	NOUN
fbem-21461	126	212	contradicts	contradict	VERB
fbem-21461	126	213	the	the	DET
fbem-21461	126	214	premise	premise	ADJ
fbem-21461	126	215	assumption	assumption	NOUN
fbem-21461	126	216	that	that	SCONJ
fbem-21461	126	217	y	y	PROPN
fbem-21461	126	218	is	be	AUX
fbem-21461	126	219	a	a	DET
fbem-21461	126	220	(	(	PUNCT
fbem-21461	126	221	d	d	NOUN
fbem-21461	126	222	,	,	PUNCT
fbem-21461	126	223	a(x	a(x	NOUN
fbem-21461	126	224	)	)	PUNCT
fbem-21461	126	225	,	,	PUNCT
fbem-21461	126	226	c)-mcv	c)-mcv	NOUN
fbem-21461	126	227	.	.	PUNCT
fbem-21461	127	1	conversely	conversely	ADV
fbem-21461	127	2	,	,	PUNCT
fbem-21461	127	3	suppose	suppose	VERB
fbem-21461	127	4	that	that	SCONJ
fbem-21461	127	5	yфmin	yфmin	PROPN
fbem-21461	127	6	but	but	CCONJ
fbem-21461	127	7	y	y	PROPN
fbem-21461	127	8	is	be	AUX
fbem-21461	127	9	not	not	PART
fbem-21461	127	10	a	a	DET
fbem-21461	127	11	(	(	PUNCT
fbem-21461	127	12	d	d	NOUN
fbem-21461	127	13	,	,	PUNCT
fbem-21461	127	14	a(x	a(x	NOUN
fbem-21461	127	15	)	)	PUNCT
fbem-21461	127	16	,	,	PUNCT
fbem-21461	127	17	c)-mcv	c)-mcv	PROPN
fbem-21461	127	18	,	,	PUNCT
fbem-21461	127	19	which	which	PRON
fbem-21461	127	20	means	mean	VERB
fbem-21461	127	21	that	that	SCONJ
fbem-21461	127	22	there	there	PRON
fbem-21461	127	23	exists	exist	VERB
fbem-21461	127	24	a	a	DET
fbem-21461	127	25	capacity	capacity	NOUN
fbem-21461	127	26	vector	vector	NOUN
fbem-21461	127	27	l	l	NOUN
fbem-21461	127	28	satisfying	satisfying	NOUN
fbem-21461	127	29	l	l	NOUN
fbem-21461	127	30	<	<	X
fbem-21461	127	31	y	y	PROPN
fbem-21461	127	32	and	and	CCONJ
fbem-21461	127	33	lф	lф	PROPN
fbem-21461	127	34	,	,	PUNCT
fbem-21461	127	35	i.e.	i.e.	X
fbem-21461	127	36	,	,	PUNCT
fbem-21461	127	37	the	the	DET
fbem-21461	127	38	capacity	capacity	NOUN
fbem-21461	127	39	vector	vector	NOUN
fbem-21461	127	40	yфmin	yфmin	PROPN
fbem-21461	127	41	.	.	PUNCT
fbem-21461	128	1	therefore	therefore	ADV
fbem-21461	128	2	,	,	PUNCT
fbem-21461	128	3	this	this	DET
fbem-21461	128	4	conclusion	conclusion	NOUN
fbem-21461	128	5	contradicts	contradict	VERB
fbem-21461	128	6	yфmin	yфmin	PROPN
fbem-21461	128	7	.	.	PUNCT
fbem-21461	129	1	it	it	PRON
fbem-21461	129	2	follows	follow	VERB
fbem-21461	129	3	that	that	SCONJ
fbem-21461	129	4	фmin	фmin	NOUN
fbem-21461	129	5	is	be	AUX
fbem-21461	129	6	the	the	DET
fbem-21461	129	7	set	set	NOUN
fbem-21461	129	8	of	of	ADP
fbem-21461	129	9	all	all	DET
fbem-21461	129	10	(	(	PUNCT
fbem-21461	129	11	d	d	NOUN
fbem-21461	129	12	,	,	PUNCT
fbem-21461	129	13	a(x	a(x	NOUN
fbem-21461	129	14	)	)	PUNCT
fbem-21461	129	15	,	,	PUNCT
fbem-21461	129	16	c)-mcvs	c)-mcvs	PROPN
fbem-21461	129	17	.	.	PUNCT
fbem-21461	130	1	according	accord	VERB
fbem-21461	130	2	to	to	ADP
fbem-21461	130	3	theorem	theorem	ADJ
fbem-21461	130	4	3	3	NUM
fbem-21461	130	5	,	,	PUNCT
fbem-21461	130	6	each	each	DET
fbem-21461	130	7	candidate	candidate	NOUN
fbem-21461	130	8	(	(	PUNCT
fbem-21461	130	9	d	d	NOUN
fbem-21461	130	10	,	,	PUNCT
fbem-21461	130	11	a(x	a(x	NOUN
fbem-21461	130	12	)	)	PUNCT
fbem-21461	130	13	,	,	PUNCT
fbem-21461	130	14	c)mcv	c)mcv	PROPN
fbem-21461	130	15	has	have	VERB
fbem-21461	130	16	to	to	PART
fbem-21461	130	17	be	be	AUX
fbem-21461	130	18	further	far	ADV
fbem-21461	130	19	checked	check	VERB
fbem-21461	130	20	whether	whether	SCONJ
fbem-21461	130	21	it	it	PRON
fbem-21461	130	22	is	be	AUX
fbem-21461	130	23	a	a	DET
fbem-21461	130	24	(	(	PUNCT
fbem-21461	130	25	d	d	NOUN
fbem-21461	130	26	,	,	PUNCT
fbem-21461	130	27	a(x	a(x	NOUN
fbem-21461	130	28	)	)	PUNCT
fbem-21461	130	29	,	,	PUNCT
fbem-21461	130	30	c)mcv	c)mcv	PROPN
fbem-21461	130	31	or	or	CCONJ
fbem-21461	130	32	not	not	PART
fbem-21461	130	33	.	.	PUNCT
fbem-21461	131	1	this	this	DET
fbem-21461	131	2	paper	paper	NOUN
fbem-21461	131	3	checks	check	NOUN
fbem-21461	131	4	it	it	PRON
fbem-21461	131	5	based	base	VERB
fbem-21461	131	6	on	on	ADP
fbem-21461	131	7	the	the	DET
fbem-21461	131	8	comparison	comparison	NOUN
fbem-21461	131	9	method	method	NOUN
fbem-21461	131	10	.	.	PUNCT
fbem-21461	132	1	4	4	X
fbem-21461	132	2	.	.	X
fbem-21461	132	3	an	an	DET
fbem-21461	132	4	example	example	NOUN
fbem-21461	132	5	analysis	analysis	NOUN
fbem-21461	132	6	in	in	ADP
fbem-21461	132	7	this	this	DET
fbem-21461	132	8	paper	paper	NOUN
fbem-21461	132	9	,	,	PUNCT
fbem-21461	132	10	a	a	DET
fbem-21461	132	11	simple	simple	ADJ
fbem-21461	132	12	logistics	logistic	NOUN
fbem-21461	132	13	network	network	NOUN
fbem-21461	132	14	is	be	AUX
fbem-21461	132	15	used	use	VERB
fbem-21461	132	16	as	as	ADP
fbem-21461	132	17	an	an	DET
fbem-21461	132	18	example	example	NOUN
fbem-21461	132	19	to	to	PART
fbem-21461	132	20	illustrate	illustrate	VERB
fbem-21461	132	21	the	the	DET
fbem-21461	132	22	models	model	NOUN
fbem-21461	132	23	and	and	CCONJ
fbem-21461	132	24	algorithms	algorithm	NOUN
fbem-21461	132	25	discussed	discuss	VERB
fbem-21461	132	26	above	above	ADV
fbem-21461	132	27	.	.	PUNCT
fbem-21461	133	1	there	there	PRON
fbem-21461	133	2	exist	exist	VERB
fbem-21461	133	3	four	four	NUM
fbem-21461	133	4	minimal	minimal	ADJ
fbem-21461	133	5	paths	path	NOUN
fbem-21461	133	6	in	in	ADP
fbem-21461	133	7	this	this	DET
fbem-21461	133	8	logistics	logistic	NOUN
fbem-21461	133	9	network	network	NOUN
fbem-21461	133	10	:	:	PUNCT
fbem-21461	133	11	p1,1	p1,1	NOUN
fbem-21461	133	12	=	=	SYM
fbem-21461	133	13	{	{	PUNCT
fbem-21461	133	14	r1	r1	PROPN
fbem-21461	133	15	,	,	PUNCT
fbem-21461	133	16	r4	r4	PROPN
fbem-21461	133	17	}	}	PUNCT
fbem-21461	133	18	,	,	PUNCT
fbem-21461	133	19	p1,2	p1,2	PROPN
fbem-21461	133	20	=	=	SYM
fbem-21461	133	21	{	{	PUNCT
fbem-21461	133	22	r2	r2	PROPN
fbem-21461	133	23	,	,	PUNCT
fbem-21461	133	24	r5	r5	PROPN
fbem-21461	133	25	}	}	PUNCT
fbem-21461	133	26	,	,	PUNCT
fbem-21461	133	27	p2,1	p2,1	PROPN
fbem-21461	133	28	=	=	PUNCT
fbem-21461	133	29	{	{	PUNCT
fbem-21461	133	30	r2	r2	PROPN
fbem-21461	133	31	,	,	PUNCT
fbem-21461	133	32	r6	r6	NOUN
fbem-21461	133	33	}	}	PUNCT
fbem-21461	133	34	,	,	PUNCT
fbem-21461	133	35	p2,2	p2,2	PROPN
fbem-21461	133	36	=	=	SYM
fbem-21461	133	37	{	{	PUNCT
fbem-21461	133	38	r3	r3	PROPN
fbem-21461	133	39	,	,	PUNCT
fbem-21461	133	40	r7	r7	NOUN
fbem-21461	133	41	}	}	PUNCT
fbem-21461	133	42	,	,	PUNCT
fbem-21461	133	43	as	as	SCONJ
fbem-21461	133	44	shown	show	VERB
fbem-21461	133	45	in	in	ADP
fbem-21461	133	46	figure	figure	NOUN
fbem-21461	133	47	1	1	NUM
fbem-21461	133	48	.	.	PUNCT
fbem-21461	134	1	the	the	DET
fbem-21461	134	2	whole	whole	ADJ
fbem-21461	134	3	network	network	NOUN
fbem-21461	134	4	contains	contain	VERB
fbem-21461	134	5	six	six	NUM
fbem-21461	134	6	routes	route	NOUN
fbem-21461	134	7	and	and	CCONJ
fbem-21461	134	8	each	each	DET
fbem-21461	134	9	route	route	NOUN
fbem-21461	134	10	has	have	VERB
fbem-21461	134	11	three	three	NUM
fbem-21461	134	12	optional	optional	ADJ
fbem-21461	134	13	carriers	carrier	NOUN
fbem-21461	134	14	.	.	PUNCT
fbem-21461	135	1	table	table	NOUN
fbem-21461	135	2	1	1	NUM
fbem-21461	135	3	shows	show	VERB
fbem-21461	135	4	the	the	DET
fbem-21461	135	5	available	available	ADJ
fbem-21461	135	6	capacity	capacity	NOUN
fbem-21461	135	7	information	information	NOUN
fbem-21461	135	8	of	of	ADP
fbem-21461	135	9	the	the	DET
fbem-21461	135	10	carriers	carrier	NOUN
fbem-21461	135	11	,	,	PUNCT
fbem-21461	135	12	the	the	DET
fbem-21461	135	13	unit	unit	NOUN
fbem-21461	135	14	transportation	transportation	NOUN
fbem-21461	135	15	cost	cost	NOUN
fbem-21461	135	16	,	,	PUNCT
fbem-21461	135	17	and	and	CCONJ
fbem-21461	135	18	spoilage	spoilage	NOUN
fbem-21461	135	19	rate	rate	NOUN
fbem-21461	135	20	,	,	PUNCT
fbem-21461	135	21	which	which	PRON
fbem-21461	135	22	are	be	AUX
fbem-21461	135	23	based	base	VERB
fbem-21461	135	24	on	on	ADP
fbem-21461	135	25	historical	historical	ADJ
fbem-21461	135	26	data	datum	NOUN
fbem-21461	135	27	.	.	PUNCT
fbem-21461	136	1	assuming	assume	VERB
fbem-21461	136	2	that	that	SCONJ
fbem-21461	136	3	each	each	DET
fbem-21461	136	4	unit	unit	NOUN
fbem-21461	136	5	of	of	ADP
fbem-21461	136	6	commodity	commodity	NOUN
fbem-21461	136	7	flow	flow	NOUN
fbem-21461	136	8	takes	take	VERB
fbem-21461	136	9	up	up	ADP
fbem-21461	136	10	0.9	0.9	NUM
fbem-21461	136	11	units	unit	NOUN
fbem-21461	136	12	of	of	ADP
fbem-21461	136	13	capacity	capacity	NOUN
fbem-21461	136	14	during	during	ADP
fbem-21461	136	15	transportation	transportation	NOUN
fbem-21461	136	16	,	,	PUNCT
fbem-21461	136	17	i.e.	i.e.	X
fbem-21461	136	18	,	,	PUNCT
fbem-21461	136	19	w	w	PROPN
fbem-21461	136	20	=	=	NOUN
fbem-21461	136	21	0.9	0.9	NUM
fbem-21461	136	22	.	.	PUNCT
fbem-21461	137	1	given	give	VERB
fbem-21461	137	2	the	the	DET
fbem-21461	137	3	cost	cost	NOUN
fbem-21461	137	4	constraint	constraint	NOUN
fbem-21461	137	5	c	c	NOUN
fbem-21461	137	6	=	=	SYM
fbem-21461	137	7	29	29	NUM
fbem-21461	137	8	(	(	PUNCT
fbem-21461	137	9	usd	usd	NOUN
fbem-21461	137	10	)	)	PUNCT
fbem-21461	137	11	,	,	PUNCT
fbem-21461	137	12	an	an	DET
fbem-21461	137	13	enumeration	enumeration	NOUN
fbem-21461	137	14	method	method	NOUN
fbem-21461	137	15	is	be	AUX
fbem-21461	137	16	used	use	VERB
fbem-21461	137	17	to	to	PART
fbem-21461	137	18	obtain	obtain	VERB
fbem-21461	137	19	the	the	DET
fbem-21461	137	20	optimal	optimal	ADJ
fbem-21461	137	21	carrier	carrier	NOUN
fbem-21461	137	22	selection	selection	NOUN
fbem-21461	137	23	that	that	PRON
fbem-21461	137	24	maximizes	maximize	VERB
fbem-21461	137	25	network	network	NOUN
fbem-21461	137	26	reliability	reliability	NOUN
fbem-21461	137	27	for	for	ADP
fbem-21461	137	28	different	different	ADJ
fbem-21461	137	29	demand	demand	NOUN
fbem-21461	137	30	levels	level	NOUN
fbem-21461	137	31	.	.	PUNCT
fbem-21461	138	1	figure	figure	NOUN
fbem-21461	138	2	1	1	NUM
fbem-21461	138	3	.	.	PUNCT
fbem-21461	139	1	a	a	DET
fbem-21461	139	2	single	single	ADJ
fbem-21461	139	3	-	-	PUNCT
fbem-21461	139	4	source	source	NOUN
fbem-21461	139	5	,	,	PUNCT
fbem-21461	139	6	multi	multi	ADJ
fbem-21461	139	7	-	-	ADJ
fbem-21461	139	8	sink	sink	ADJ
fbem-21461	139	9	logistics	logistic	NOUN
fbem-21461	139	10	network	network	NOUN
fbem-21461	139	11	in	in	ADP
fbem-21461	139	12	the	the	DET
fbem-21461	139	13	above	above	ADJ
fbem-21461	139	14	simple	simple	ADJ
fbem-21461	139	15	example	example	NOUN
fbem-21461	139	16	,	,	PUNCT
fbem-21461	139	17	the	the	DET
fbem-21461	139	18	enumeration	enumeration	NOUN
fbem-21461	139	19	method	method	NOUN
fbem-21461	139	20	enumerates	enumerate	VERB
fbem-21461	139	21	a	a	DET
fbem-21461	139	22	total	total	NOUN
fbem-21461	139	23	of	of	ADP
fbem-21461	139	24	2187	2187	NUM
fbem-21461	139	25	possible	possible	ADJ
fbem-21461	139	26	carrier	carrier	NOUN
fbem-21461	139	27	selections	selection	NOUN
fbem-21461	139	28	.	.	PUNCT
fbem-21461	140	1	the	the	DET
fbem-21461	140	2	optimal	optimal	ADJ
fbem-21461	140	3	carrier	carrier	NOUN
fbem-21461	140	4	selection	selection	NOUN
fbem-21461	140	5	with	with	ADP
fbem-21461	140	6	maximum	maximum	ADJ
fbem-21461	140	7	network	network	NOUN
fbem-21461	140	8	reliability	reliability	NOUN
fbem-21461	140	9	is	be	AUX
fbem-21461	140	10	obtained	obtain	VERB
fbem-21461	140	11	for	for	ADP
fbem-21461	140	12	different	different	ADJ
fbem-21461	140	13	demand	demand	NOUN
fbem-21461	140	14	levels	level	NOUN
fbem-21461	140	15	,	,	PUNCT
fbem-21461	140	16	and	and	CCONJ
fbem-21461	140	17	the	the	DET
fbem-21461	140	18	computational	computational	ADJ
fbem-21461	140	19	results	result	NOUN
fbem-21461	140	20	are	be	AUX
fbem-21461	140	21	shown	show	VERB
fbem-21461	140	22	in	in	ADP
fbem-21461	140	23	table	table	NOUN
fbem-21461	140	24	2	2	NUM
fbem-21461	140	25	.	.	PUNCT
fbem-21461	141	1	obviously	obviously	ADV
fbem-21461	141	2	,	,	PUNCT
fbem-21461	141	3	the	the	DET
fbem-21461	141	4	maximum	maximum	ADJ
fbem-21461	141	5	network	network	NOUN
fbem-21461	141	6	reliability	reliability	NOUN
fbem-21461	141	7	is	be	AUX
fbem-21461	141	8	0.9827613	0.9827613	NUM
fbem-21461	141	9	and	and	CCONJ
fbem-21461	141	10	the	the	DET
fbem-21461	141	11	corresponding	corresponding	ADJ
fbem-21461	141	12	optimal	optimal	ADJ
fbem-21461	141	13	carrier	carrier	NOUN
fbem-21461	141	14	choices	choice	NOUN
fbem-21461	141	15	are	be	AUX
fbem-21461	141	16	(	(	PUNCT
fbem-21461	141	17	3	3	NUM
fbem-21461	141	18	,	,	PUNCT
fbem-21461	141	19	1	1	NUM
fbem-21461	141	20	,	,	PUNCT
fbem-21461	141	21	1	1	NUM
fbem-21461	141	22	,	,	PUNCT
fbem-21461	141	23	3	3	NUM
fbem-21461	141	24	,	,	PUNCT
fbem-21461	141	25	2	2	NUM
fbem-21461	141	26	,	,	PUNCT
fbem-21461	141	27	1	1	NUM
fbem-21461	141	28	,	,	PUNCT
fbem-21461	141	29	2	2	NUM
fbem-21461	141	30	)	)	PUNCT
fbem-21461	141	31	for	for	ADP
fbem-21461	141	32	the	the	DET
fbem-21461	141	33	cost	cost	NOUN
fbem-21461	141	34	constraint	constraint	NOUN
fbem-21461	141	35	c	c	NOUN
fbem-21461	141	36	=	=	SYM
fbem-21461	141	37	29	29	NUM
fbem-21461	141	38	(	(	PUNCT
fbem-21461	141	39	usd	usd	NOUN
fbem-21461	141	40	)	)	PUNCT
fbem-21461	141	41	and	and	CCONJ
fbem-21461	141	42	the	the	DET
fbem-21461	141	43	demand	demand	NOUN
fbem-21461	141	44	vector	vector	NOUN
fbem-21461	141	45	d	d	NOUN
fbem-21461	141	46	=	=	SYM
fbem-21461	141	47	(	(	PUNCT
fbem-21461	141	48	1	1	NUM
fbem-21461	141	49	,	,	PUNCT
fbem-21461	141	50	2	2	NUM
fbem-21461	141	51	)	)	PUNCT
fbem-21461	141	52	.	.	PUNCT
fbem-21461	142	1	note	note	VERB
fbem-21461	142	2	that	that	SCONJ
fbem-21461	142	3	the	the	DET
fbem-21461	142	4	optimal	optimal	ADJ
fbem-21461	142	5	carrier	carrier	NOUN
fbem-21461	142	6	selection	selection	NOUN
fbem-21461	142	7	corresponding	correspond	VERB
fbem-21461	142	8	to	to	ADP
fbem-21461	142	9	the	the	DET
fbem-21461	142	10	maximum	maximum	ADJ
fbem-21461	142	11	network	network	NOUN
fbem-21461	142	12	reliability	reliability	NOUN
fbem-21461	142	13	may	may	AUX
fbem-21461	142	14	not	not	PART
fbem-21461	142	15	be	be	AUX
fbem-21461	142	16	unique	unique	ADJ
fbem-21461	142	17	.	.	PUNCT
fbem-21461	143	1	for	for	ADP
fbem-21461	143	2	example	example	NOUN
fbem-21461	143	3	,	,	PUNCT
fbem-21461	143	4	for	for	ADP
fbem-21461	143	5	the	the	DET
fbem-21461	143	6	cost	cost	NOUN
fbem-21461	143	7	constraint	constraint	NOUN
fbem-21461	143	8	c	c	NOUN
fbem-21461	143	9	=	=	SYM
fbem-21461	143	10	29	29	NUM
fbem-21461	143	11	(	(	PUNCT
fbem-21461	143	12	usd	usd	NOUN
fbem-21461	143	13	)	)	PUNCT
fbem-21461	143	14	and	and	CCONJ
fbem-21461	143	15	the	the	DET
fbem-21461	143	16	demand	demand	NOUN
fbem-21461	143	17	vector	vector	NOUN
fbem-21461	143	18	d	d	NOUN
fbem-21461	143	19	=	=	SYM
fbem-21461	143	20	(	(	PUNCT
fbem-21461	143	21	1	1	NUM
fbem-21461	143	22	,	,	PUNCT
fbem-21461	143	23	1	1	NUM
fbem-21461	143	24	)	)	PUNCT
fbem-21461	143	25	,	,	PUNCT
fbem-21461	143	26	there	there	PRON
fbem-21461	143	27	are	be	VERB
fbem-21461	143	28	two	two	NUM
fbem-21461	143	29	optimal	optimal	ADJ
fbem-21461	143	30	carrier	carrier	NOUN
fbem-21461	143	31	selections	selection	NOUN
fbem-21461	143	32	with	with	ADP
fbem-21461	143	33	maximum	maximum	ADJ
fbem-21461	143	34	network	network	NOUN
fbem-21461	143	35	reliability	reliability	PROPN
fbem-21461	143	36	rd	rd	PROPN
fbem-21461	143	37	,	,	PUNCT
fbem-21461	143	38	a(x),c	a(x),c	PROPN
fbem-21461	143	39	=	=	SYM
fbem-21461	143	40	0.9948832	0.9948832	NUM
fbem-21461	143	41	.	.	PUNCT
fbem-21461	143	42	table	table	NOUN
fbem-21461	143	43	2	2	NUM
fbem-21461	143	44	.	.	PUNCT
fbem-21461	144	1	the	the	DET
fbem-21461	144	2	calculation	calculation	NOUN
fbem-21461	144	3	result	result	VERB
fbem-21461	144	4	d	d	X
fbem-21461	144	5	maximum	maximum	ADJ
fbem-21461	144	6	reliability	reliability	NOUN
fbem-21461	144	7	optimal	optimal	ADJ
fbem-21461	144	8	carrier	carrier	NOUN
fbem-21461	144	9	solution	solution	NOUN
fbem-21461	144	10	(	(	PUNCT
fbem-21461	144	11	1	1	NUM
fbem-21461	144	12	,	,	PUNCT
fbem-21461	144	13	1	1	NUM
fbem-21461	144	14	)	)	PUNCT
fbem-21461	144	15	0.9948832	0.9948832	NUM
fbem-21461	144	16	(	(	PUNCT
fbem-21461	144	17	3	3	NUM
fbem-21461	144	18	,	,	PUNCT
fbem-21461	144	19	1	1	NUM
fbem-21461	144	20	,	,	PUNCT
fbem-21461	144	21	1	1	NUM
fbem-21461	144	22	,	,	PUNCT
fbem-21461	144	23	1	1	NUM
fbem-21461	144	24	,	,	PUNCT
fbem-21461	144	25	1	1	NUM
fbem-21461	144	26	,	,	PUNCT
fbem-21461	144	27	3	3	NUM
fbem-21461	144	28	,	,	PUNCT
fbem-21461	144	29	2)/2	2)/2	NUM
fbem-21461	144	30	(	(	PUNCT
fbem-21461	144	31	1	1	NUM
fbem-21461	144	32	,	,	PUNCT
fbem-21461	144	33	2	2	NUM
fbem-21461	144	34	)	)	PUNCT
fbem-21461	144	35	0.9827613	0.9827613	NUM
fbem-21461	144	36	(	(	PUNCT
fbem-21461	144	37	3	3	NUM
fbem-21461	144	38	,	,	PUNCT
fbem-21461	144	39	1	1	NUM
fbem-21461	144	40	,	,	PUNCT
fbem-21461	144	41	1	1	NUM
fbem-21461	144	42	,	,	PUNCT
fbem-21461	144	43	3	3	NUM
fbem-21461	144	44	,	,	PUNCT
fbem-21461	144	45	2	2	NUM
fbem-21461	144	46	,	,	PUNCT
fbem-21461	144	47	1	1	NUM
fbem-21461	144	48	,	,	PUNCT
fbem-21461	144	49	2)/1	2)/1	NUM
fbem-21461	144	50	(	(	PUNCT
fbem-21461	144	51	1	1	NUM
fbem-21461	144	52	,	,	PUNCT
fbem-21461	144	53	3	3	X
fbem-21461	144	54	)	)	PUNCT
fbem-21461	144	55	0.8425748	0.8425748	NUM
fbem-21461	144	56	(	(	PUNCT
fbem-21461	144	57	3	3	NUM
fbem-21461	144	58	,	,	PUNCT
fbem-21461	144	59	2	2	NUM
fbem-21461	144	60	,	,	PUNCT
fbem-21461	144	61	1	1	NUM
fbem-21461	144	62	,	,	PUNCT
fbem-21461	144	63	2	2	NUM
fbem-21461	144	64	,	,	PUNCT
fbem-21461	144	65	1	1	NUM
fbem-21461	144	66	,	,	PUNCT
fbem-21461	144	67	1	1	NUM
fbem-21461	144	68	,	,	PUNCT
fbem-21461	144	69	1)/1	1)/1	NUM
fbem-21461	144	70	(	(	PUNCT
fbem-21461	144	71	1	1	NUM
fbem-21461	144	72	,	,	PUNCT
fbem-21461	144	73	4	4	NUM
fbem-21461	144	74	)	)	PUNCT
fbem-21461	144	75	0	0	NUM
fbem-21461	145	1	no	no	DET
fbem-21461	145	2	solution	solution	NOUN
fbem-21461	145	3	.	.	PUNCT
fbem-21461	146	1	(	(	PUNCT
fbem-21461	146	2	2	2	NUM
fbem-21461	146	3	,	,	PUNCT
fbem-21461	146	4	1	1	NUM
fbem-21461	146	5	)	)	PUNCT
fbem-21461	146	6	0.9629340	0.9629340	NUM
fbem-21461	146	7	(	(	PUNCT
fbem-21461	146	8	3	3	NUM
fbem-21461	146	9	,	,	PUNCT
fbem-21461	146	10	1	1	NUM
fbem-21461	146	11	,	,	PUNCT
fbem-21461	146	12	1	1	NUM
fbem-21461	146	13	,	,	PUNCT
fbem-21461	146	14	3	3	NUM
fbem-21461	146	15	,	,	PUNCT
fbem-21461	146	16	1	1	NUM
fbem-21461	146	17	,	,	PUNCT
fbem-21461	146	18	1	1	NUM
fbem-21461	146	19	,	,	PUNCT
fbem-21461	146	20	3)/2	3)/2	NUM
fbem-21461	146	21	(	(	PUNCT
fbem-21461	146	22	2	2	NUM
fbem-21461	146	23	,	,	PUNCT
fbem-21461	146	24	2	2	NUM
fbem-21461	146	25	)	)	PUNCT
fbem-21461	146	26	0.7824731	0.7824731	NUM
fbem-21461	146	27	(	(	PUNCT
fbem-21461	146	28	3	3	NUM
fbem-21461	146	29	,	,	PUNCT
fbem-21461	146	30	2	2	NUM
fbem-21461	146	31	,	,	PUNCT
fbem-21461	146	32	2	2	NUM
fbem-21461	146	33	,	,	PUNCT
fbem-21461	146	34	2	2	NUM
fbem-21461	146	35	,	,	PUNCT
fbem-21461	146	36	2	2	NUM
fbem-21461	146	37	,	,	PUNCT
fbem-21461	146	38	1	1	NUM
fbem-21461	146	39	,	,	PUNCT
fbem-21461	146	40	1)/1	1)/1	NUM
fbem-21461	146	41	(	(	PUNCT
fbem-21461	146	42	2	2	NUM
fbem-21461	146	43	,	,	PUNCT
fbem-21461	146	44	3	3	NUM
fbem-21461	146	45	)	)	PUNCT
fbem-21461	146	46	0.5063553	0.5063553	NUM
fbem-21461	146	47	(	(	PUNCT
fbem-21461	146	48	1	1	NUM
fbem-21461	146	49	,	,	PUNCT
fbem-21461	146	50	2	2	NUM
fbem-21461	146	51	,	,	PUNCT
fbem-21461	146	52	1	1	NUM
fbem-21461	146	53	,	,	PUNCT
fbem-21461	146	54	1	1	NUM
fbem-21461	146	55	,	,	PUNCT
fbem-21461	146	56	2	2	NUM
fbem-21461	146	57	,	,	PUNCT
fbem-21461	146	58	1	1	NUM
fbem-21461	146	59	,	,	PUNCT
fbem-21461	146	60	1)/27	1)/27	PROPN
fbem-21461	146	61	(	(	PUNCT
fbem-21461	146	62	2	2	NUM
fbem-21461	146	63	,	,	PUNCT
fbem-21461	146	64	4	4	NUM
fbem-21461	146	65	)	)	PUNCT
fbem-21461	146	66	0	0	NUM
fbem-21461	146	67	no	no	DET
fbem-21461	146	68	solution	solution	NOUN
fbem-21461	146	69	.	.	PUNCT
fbem-21461	147	1	(	(	PUNCT
fbem-21461	147	2	3	3	NUM
fbem-21461	147	3	,	,	PUNCT
fbem-21461	147	4	1	1	NUM
fbem-21461	147	5	)	)	PUNCT
fbem-21461	147	6	0.7168408	0.7168408	NUM
fbem-21461	147	7	(	(	PUNCT
fbem-21461	147	8	1	1	NUM
fbem-21461	147	9	,	,	PUNCT
fbem-21461	147	10	1	1	NUM
fbem-21461	147	11	,	,	PUNCT
fbem-21461	147	12	2	2	NUM
fbem-21461	147	13	,	,	PUNCT
fbem-21461	147	14	1	1	NUM
fbem-21461	147	15	,	,	PUNCT
fbem-21461	147	16	1	1	NUM
fbem-21461	147	17	,	,	PUNCT
fbem-21461	147	18	1	1	NUM
fbem-21461	147	19	,	,	PUNCT
fbem-21461	147	20	3)/27	3)/27	PROPN
fbem-21461	147	21	(	(	PUNCT
fbem-21461	147	22	3	3	NUM
fbem-21461	147	23	,	,	PUNCT
fbem-21461	147	24	2	2	NUM
fbem-21461	147	25	)	)	PUNCT
fbem-21461	147	26	0	0	NUM
fbem-21461	148	1	no	no	DET
fbem-21461	148	2	solution	solution	NOUN
fbem-21461	148	3	.	.	PUNCT
fbem-21461	149	1	5	5	X
fbem-21461	149	2	.	.	X
fbem-21461	149	3	conclusion	conclusion	NOUN
fbem-21461	149	4	this	this	DET
fbem-21461	149	5	paper	paper	NOUN
fbem-21461	149	6	focuses	focus	VERB
fbem-21461	149	7	on	on	ADP
fbem-21461	149	8	the	the	DET
fbem-21461	149	9	carrier	carrier	NOUN
fbem-21461	149	10	selection	selection	NOUN
fbem-21461	149	11	problem	problem	NOUN
fbem-21461	149	12	based	base	VERB
fbem-21461	149	13	on	on	ADP
fbem-21461	149	14	the	the	DET
fbem-21461	149	15	reliability	reliability	NOUN
fbem-21461	149	16	of	of	ADP
fbem-21461	149	17	single	single	ADJ
fbem-21461	149	18	-	-	PUNCT
fbem-21461	149	19	source	source	NOUN
fbem-21461	149	20	multi	multi	ADJ
fbem-21461	149	21	-	-	ADJ
fbem-21461	149	22	sink	sink	ADJ
fbem-21461	149	23	network	network	NOUN
fbem-21461	149	24	under	under	ADP
fbem-21461	149	25	delivery	delivery	NOUN
fbem-21461	149	26	spoilage	spoilage	NOUN
fbem-21461	149	27	and	and	CCONJ
fbem-21461	149	28	cost	cost	NOUN
fbem-21461	149	29	constraint	constraint	NOUN
fbem-21461	149	30	.	.	PUNCT
fbem-21461	150	1	firstly	firstly	ADV
fbem-21461	150	2	,	,	PUNCT
fbem-21461	150	3	this	this	DET
fbem-21461	150	4	paper	paper	NOUN
fbem-21461	150	5	discusses	discuss	VERB
fbem-21461	150	6	the	the	DET
fbem-21461	150	7	calculation	calculation	NOUN
fbem-21461	150	8	method	method	NOUN
fbem-21461	150	9	of	of	ADP
fbem-21461	150	10	single	single	ADJ
fbem-21461	150	11	-	-	PUNCT
fbem-21461	150	12	source	source	NOUN
fbem-21461	150	13	multi	multi	ADJ
fbem-21461	150	14	-	-	ADJ
fbem-21461	150	15	sink	sink	ADJ
fbem-21461	150	16	logistics	logistic	NOUN
fbem-21461	150	17	network	network	NOUN
fbem-21461	150	18	reliability	reliability	NOUN
fbem-21461	150	19	under	under	ADP
fbem-21461	150	20	delivery	delivery	NOUN
fbem-21461	150	21	spoilage	spoilage	NOUN
fbem-21461	150	22	and	and	CCONJ
fbem-21461	150	23	cost	cost	NOUN
fbem-21461	150	24	constraint	constraint	NOUN
fbem-21461	150	25	based	base	VERB
fbem-21461	150	26	on	on	ADP
fbem-21461	150	27	the	the	DET
fbem-21461	150	28	conversion	conversion	NOUN
fbem-21461	150	29	relationship	relationship	NOUN
fbem-21461	150	30	between	between	ADP
fbem-21461	150	31	ideal	ideal	ADJ
fbem-21461	150	32	flow	flow	NOUN
fbem-21461	150	33	vector	vector	NOUN
fbem-21461	150	34	and	and	CCONJ
fbem-21461	150	35	actual	actual	ADJ
fbem-21461	150	36	flow	flow	NOUN
fbem-21461	150	37	vector	vector	NOUN
fbem-21461	150	38	.	.	PUNCT
fbem-21461	151	1	secondly	secondly	ADV
fbem-21461	151	2	,	,	PUNCT
fbem-21461	151	3	a	a	DET
fbem-21461	151	4	logistics	logistic	NOUN
fbem-21461	151	5	carrier	carrier	NOUN
fbem-21461	151	6	selection	selection	NOUN
fbem-21461	151	7	model	model	NOUN
fbem-21461	151	8	is	be	AUX
fbem-21461	151	9	constructed	construct	VERB
fbem-21461	151	10	with	with	ADP
fbem-21461	151	11	network	network	NOUN
fbem-21461	151	12	reliability	reliability	NOUN
fbem-21461	151	13	maximization	maximization	NOUN
fbem-21461	151	14	as	as	ADP
fbem-21461	151	15	the	the	DET
fbem-21461	151	16	objective	objective	ADJ
fbem-21461	151	17	function	function	NOUN
fbem-21461	151	18	and	and	CCONJ
fbem-21461	151	19	carrier	carrier	NOUN
fbem-21461	151	20	selection	selection	NOUN
fbem-21461	151	21	as	as	ADP
fbem-21461	151	22	the	the	DET
fbem-21461	151	23	decision	decision	NOUN
fbem-21461	151	24	variable	variable	NOUN
fbem-21461	151	25	;	;	PUNCT
fbem-21461	151	26	a	a	DET
fbem-21461	151	27	model	model	NOUN
fbem-21461	151	28	solution	solution	NOUN
fbem-21461	151	29	method	method	NOUN
fbem-21461	151	30	is	be	AUX
fbem-21461	151	31	proposed	propose	VERB
fbem-21461	151	32	based	base	VERB
fbem-21461	151	33	on	on	ADP
fbem-21461	151	34	the	the	DET
fbem-21461	151	35	minimal	minimal	ADJ
fbem-21461	151	36	path	path	NOUN
fbem-21461	151	37	method	method	NOUN
fbem-21461	151	38	.	.	PUNCT
fbem-21461	152	1	finally	finally	ADV
fbem-21461	152	2	,	,	PUNCT
fbem-21461	152	3	the	the	DET
fbem-21461	152	4	effectiveness	effectiveness	NOUN
fbem-21461	152	5	of	of	ADP
fbem-21461	152	6	the	the	DET
fbem-21461	152	7	algorithm	algorithm	NOUN
fbem-21461	152	8	is	be	AUX
fbem-21461	152	9	demonstrated	demonstrate	VERB
fbem-21461	152	10	through	through	ADP
fbem-21461	152	11	an	an	DET
fbem-21461	152	12	example	example	NOUN
fbem-21461	152	13	analysis	analysis	NOUN
fbem-21461	152	14	,	,	PUNCT
fbem-21461	152	15	r1	r1	PROPN
fbem-21461	152	16	r2	r2	PROPN
fbem-21461	152	17	r4	r4	PROPN
fbem-21461	152	18	r5	r5	PROPN
fbem-21461	152	19	r6	r6	PROPN
fbem-21461	152	20	r7	r7	PROPN
fbem-21461	152	21	r3	r3	PROPN
fbem-21461	152	22	s	s	PROPN
fbem-21461	152	23	t1	t1	PROPN
fbem-21461	152	24	t2	t2	PROPN
fbem-21461	152	25	338	338	NUM
fbem-21461	152	26	which	which	PRON
fbem-21461	152	27	provides	provide	VERB
fbem-21461	152	28	decision	decision	NOUN
fbem-21461	152	29	-	-	PUNCT
fbem-21461	152	30	making	make	VERB
fbem-21461	152	31	information	information	NOUN
fbem-21461	152	32	for	for	SCONJ
fbem-21461	152	33	managers	manager	NOUN
fbem-21461	152	34	to	to	PART
fbem-21461	152	35	determine	determine	VERB
fbem-21461	152	36	the	the	DET
fbem-21461	152	37	optimal	optimal	ADJ
fbem-21461	152	38	carrier	carrier	NOUN
fbem-21461	152	39	selection	selection	NOUN
fbem-21461	152	40	with	with	ADP
fbem-21461	152	41	maximum	maximum	ADJ
fbem-21461	152	42	network	network	NOUN
fbem-21461	152	43	reliability	reliability	NOUN
fbem-21461	152	44	within	within	ADP
fbem-21461	152	45	the	the	DET
fbem-21461	152	46	budgeted	budget	VERB
fbem-21461	152	47	cost	cost	NOUN
fbem-21461	152	48	.	.	PUNCT
fbem-21461	153	1	note	note	VERB
fbem-21461	153	2	that	that	SCONJ
fbem-21461	153	3	the	the	DET
fbem-21461	153	4	model	model	NOUN
fbem-21461	153	5	developed	develop	VERB
fbem-21461	153	6	in	in	ADP
fbem-21461	153	7	this	this	DET
fbem-21461	153	8	paper	paper	NOUN
fbem-21461	153	9	is	be	AUX
fbem-21461	153	10	for	for	ADP
fbem-21461	153	11	a	a	DET
fbem-21461	153	12	commodity	commodity	NOUN
fbem-21461	153	13	.	.	PUNCT
fbem-21461	154	1	in	in	ADP
fbem-21461	154	2	future	future	ADJ
fbem-21461	154	3	research	research	NOUN
fbem-21461	154	4	,	,	PUNCT
fbem-21461	154	5	the	the	DET
fbem-21461	154	6	multi	multi	ADJ
fbem-21461	154	7	-	-	ADJ
fbem-21461	154	8	commodity	commodity	ADJ
fbem-21461	154	9	case	case	NOUN
fbem-21461	154	10	can	can	AUX
fbem-21461	154	11	be	be	AUX
fbem-21461	154	12	considered	consider	VERB
fbem-21461	154	13	to	to	PART
fbem-21461	154	14	further	far	ADV
fbem-21461	154	15	extend	extend	VERB
fbem-21461	154	16	the	the	DET
fbem-21461	154	17	applicability	applicability	NOUN
fbem-21461	154	18	of	of	ADP
fbem-21461	154	19	the	the	DET
fbem-21461	154	20	model	model	NOUN
fbem-21461	154	21	.	.	PUNCT
fbem-21461	155	1	references	reference	NOUN
fbem-21461	155	2	[	[	X
fbem-21461	155	3	1	1	X
fbem-21461	155	4	]	]	X
fbem-21461	155	5	p	p	NOUN
fbem-21461	155	6	d	d	PROPN
fbem-21461	155	7	fanam	fanam	NOUN
fbem-21461	155	8	,	,	PUNCT
fbem-21461	155	9	l	l	NOUN
fbem-21461	155	10	ackerly	ackerly	ADV
fbem-21461	155	11	.	.	PUNCT
fbem-21461	156	1	evaluating	evaluate	VERB
fbem-21461	156	2	ocean	ocean	NOUN
fbem-21461	156	3	carrier	carrier	NOUN
fbem-21461	156	4	selection	selection	NOUN
fbem-21461	156	5	criteria	criterion	NOUN
fbem-21461	156	6	:	:	PUNCT
fbem-21461	156	7	perspectives	perspective	NOUN
fbem-21461	156	8	of	of	ADP
fbem-21461	156	9	tasmanian	tasmanian	ADJ
fbem-21461	156	10	shippers[j	shippers[j	PROPN
fbem-21461	156	11	]	]	PUNCT
fbem-21461	156	12	.	.	PUNCT
fbem-21461	157	1	journal	journal	PROPN
fbem-21461	157	2	of	of	ADP
fbem-21461	157	3	shipping	shipping	NOUN
fbem-21461	157	4	and	and	CCONJ
fbem-21461	157	5	trade	trade	NOUN
fbem-21461	157	6	,	,	PUNCT
fbem-21461	157	7	2019	2019	NUM
fbem-21461	157	8	,	,	PUNCT
fbem-21461	157	9	4	4	NUM
fbem-21461	157	10	:	:	SYM
fbem-21461	157	11	1	1	NUM
fbem-21461	157	12	-	-	SYM
fbem-21461	157	13	16	16	NUM
fbem-21461	157	14	.	.	PUNCT
fbem-21461	158	1	[	[	X
fbem-21461	158	2	2	2	NUM
fbem-21461	158	3	]	]	X
fbem-21461	158	4	d	d	X
fbem-21461	158	5	mohammaditabar	mohammaditabar	PROPN
fbem-21461	158	6	,	,	PUNCT
fbem-21461	158	7	e	e	PROPN
fbem-21461	158	8	teimoury	teimoury	NOUN
fbem-21461	158	9	.	.	PUNCT
fbem-21461	158	10	integrated	integrate	VERB
fbem-21461	158	11	freight	freight	NOUN
fbem-21461	158	12	transportation	transportation	NOUN
fbem-21461	158	13	carrier	carrier	NOUN
fbem-21461	158	14	selection	selection	NOUN
fbem-21461	158	15	and	and	CCONJ
fbem-21461	158	16	network	network	NOUN
fbem-21461	158	17	flow	flow	NOUN
fbem-21461	158	18	assignment	assignment	NOUN
fbem-21461	158	19	:	:	PUNCT
fbem-21461	158	20	methodology	methodology	NOUN
fbem-21461	158	21	and	and	CCONJ
fbem-21461	158	22	case	case	NOUN
fbem-21461	158	23	study[j	study[j	NOUN
fbem-21461	158	24	]	]	PUNCT
fbem-21461	158	25	.	.	PUNCT
fbem-21461	159	1	journal	journal	PROPN
fbem-21461	159	2	of	of	ADP
fbem-21461	159	3	applied	apply	VERB
fbem-21461	159	4	sciences	science	NOUN
fbem-21461	159	5	,	,	PUNCT
fbem-21461	159	6	2008	2008	NUM
fbem-21461	159	7	,	,	PUNCT
fbem-21461	159	8	8(17	8(17	NUM
fbem-21461	159	9	):	):	PUNCT
fbem-21461	159	10	2928	2928	NUM
fbem-21461	159	11	.	.	PUNCT
fbem-21461	160	1	[	[	X
fbem-21461	160	2	3	3	NUM
fbem-21461	160	3	]	]	X
fbem-21461	160	4	m	m	PROPN
fbem-21461	160	5	j	j	PROPN
fbem-21461	160	6	meixell	meixell	PROPN
fbem-21461	160	7	,	,	PUNCT
fbem-21461	160	8	m	m	VERB
fbem-21461	160	9	norbis	norbis	PRON
fbem-21461	160	10	.	.	PUNCT
fbem-21461	161	1	integrating	integrate	VERB
fbem-21461	161	2	carrier	carrier	NOUN
fbem-21461	161	3	selection	selection	NOUN
fbem-21461	161	4	with	with	ADP
fbem-21461	161	5	supplier	supplier	NOUN
fbem-21461	161	6	selection	selection	NOUN
fbem-21461	161	7	decisions	decision	NOUN
fbem-21461	161	8	to	to	PART
fbem-21461	161	9	improve	improve	VERB
fbem-21461	161	10	supply	supply	NOUN
fbem-21461	161	11	chain	chain	NOUN
fbem-21461	161	12	security[j	security[j	PROPN
fbem-21461	161	13	]	]	PUNCT
fbem-21461	161	14	.	.	PUNCT
fbem-21461	162	1	international	international	ADJ
fbem-21461	162	2	transactions	transaction	NOUN
fbem-21461	162	3	in	in	ADP
fbem-21461	162	4	operational	operational	ADJ
fbem-21461	162	5	research	research	NOUN
fbem-21461	162	6	,	,	PUNCT
fbem-21461	162	7	2012	2012	NUM
fbem-21461	162	8	,	,	PUNCT
fbem-21461	162	9	19(5	19(5	NUM
fbem-21461	162	10	):	):	PUNCT
fbem-21461	162	11	711	711	NUM
fbem-21461	162	12	-	-	SYM
fbem-21461	162	13	732	732	NUM
fbem-21461	162	14	.	.	PUNCT
fbem-21461	163	1	[	[	X
fbem-21461	163	2	4	4	X
fbem-21461	163	3	]	]	X
fbem-21461	163	4	y	y	PROPN
fbem-21461	163	5	k	k	PROPN
fbem-21461	163	6	lin	lin	PROPN
fbem-21461	163	7	,	,	PUNCT
fbem-21461	163	8	c	c	PROPN
fbem-21461	163	9	t	t	PROPN
fbem-21461	163	10	yeh	yeh	PROPN
fbem-21461	163	11	.	.	PUNCT
fbem-21461	164	1	optimal	optimal	ADJ
fbem-21461	164	2	carrier	carrier	NOUN
fbem-21461	164	3	selection	selection	NOUN
fbem-21461	164	4	based	base	VERB
fbem-21461	164	5	on	on	ADP
fbem-21461	164	6	network	network	NOUN
fbem-21461	164	7	reliability	reliability	NOUN
fbem-21461	164	8	criterion	criterion	NOUN
fbem-21461	164	9	for	for	ADP
fbem-21461	164	10	stochastic	stochastic	ADJ
fbem-21461	164	11	logistics	logistic	NOUN
fbem-21461	164	12	networks[j	networks[j	PROPN
fbem-21461	164	13	]	]	X
fbem-21461	164	14	.	.	PUNCT
fbem-21461	165	1	international	international	ADJ
fbem-21461	165	2	journal	journal	PROPN
fbem-21461	165	3	of	of	ADP
fbem-21461	165	4	production	production	NOUN
fbem-21461	165	5	economics	economic	NOUN
fbem-21461	165	6	,	,	PUNCT
fbem-21461	165	7	2010	2010	NUM
fbem-21461	165	8	,	,	PUNCT
fbem-21461	165	9	128(2	128(2	NUM
fbem-21461	165	10	):	):	PUNCT
fbem-21461	165	11	510	510	NUM
fbem-21461	165	12	-	-	SYM
fbem-21461	165	13	517	517	NUM
fbem-21461	165	14	.	.	PUNCT
fbem-21461	166	1	[	[	X
fbem-21461	166	2	5	5	X
fbem-21461	166	3	]	]	X
fbem-21461	166	4	y	y	PROPN
fbem-21461	166	5	k	k	PROPN
fbem-21461	166	6	lin	lin	PROPN
fbem-21461	166	7	,	,	PUNCT
fbem-21461	166	8	c	c	PROPN
fbem-21461	166	9	t	t	PROPN
fbem-21461	166	10	yeh	yeh	PROPN
fbem-21461	166	11	.	.	PUNCT
fbem-21461	167	1	determine	determine	VERB
fbem-21461	167	2	the	the	DET
fbem-21461	167	3	optimal	optimal	ADJ
fbem-21461	167	4	carrier	carrier	NOUN
fbem-21461	167	5	selection	selection	NOUN
fbem-21461	167	6	for	for	ADP
fbem-21461	167	7	a	a	DET
fbem-21461	167	8	logistics	logistics	NOUN
fbem-21461	167	9	network	network	NOUN
fbem-21461	167	10	based	base	VERB
fbem-21461	167	11	on	on	ADP
fbem-21461	167	12	multi	multi	ADJ
fbem-21461	167	13	-	-	ADJ
fbem-21461	167	14	commodity	commodity	ADJ
fbem-21461	167	15	reliability	reliability	NOUN
fbem-21461	167	16	criterion[j	criterion[j	NOUN
fbem-21461	167	17	]	]	PUNCT
fbem-21461	167	18	.	.	PUNCT
fbem-21461	168	1	international	international	ADJ
fbem-21461	168	2	journal	journal	PROPN
fbem-21461	168	3	of	of	ADP
fbem-21461	168	4	systems	system	NOUN
fbem-21461	168	5	science	science	NOUN
fbem-21461	168	6	,	,	PUNCT
fbem-21461	168	7	2013	2013	NUM
fbem-21461	168	8	,	,	PUNCT
fbem-21461	168	9	44(5	44(5	NUM
fbem-21461	168	10	):	):	PUNCT
fbem-21461	168	11	949	949	NUM
fbem-21461	168	12	-	-	SYM
fbem-21461	168	13	965	965	NUM
fbem-21461	168	14	.	.	PUNCT
fbem-21461	169	1	[	[	X
fbem-21461	169	2	6	6	NUM
fbem-21461	169	3	]	]	PUNCT
fbem-21461	169	4	y	y	PROPN
fbem-21461	169	5	k	k	PROPN
fbem-21461	169	6	lin	lin	PROPN
fbem-21461	169	7	,	,	PUNCT
fbem-21461	169	8	c	c	PROPN
fbem-21461	169	9	t	t	PROPN
fbem-21461	169	10	yeh	yeh	PROPN
fbem-21461	169	11	,	,	PUNCT
fbem-21461	169	12	c	c	PROPN
fbem-21461	169	13	f	f	PROPN
fbem-21461	169	14	huang	huang	PROPN
fbem-21461	169	15	.	.	PUNCT
fbem-21461	169	16	reliability	reliability	NOUN
fbem-21461	169	17	evaluation	evaluation	NOUN
fbem-21461	169	18	of	of	ADP
fbem-21461	169	19	a	a	DET
fbem-21461	169	20	stochastic	stochastic	NOUN
fbem-21461	169	21	-	-	PUNCT
fbem-21461	169	22	flow	flow	NOUN
fbem-21461	169	23	distribution	distribution	NOUN
fbem-21461	169	24	network	network	NOUN
fbem-21461	169	25	with	with	ADP
fbem-21461	169	26	delivery	delivery	NOUN
fbem-21461	169	27	spoilage[j	spoilage[j	NOUN
fbem-21461	169	28	]	]	PUNCT
fbem-21461	169	29	.	.	PUNCT
fbem-21461	170	1	computers	computer	NOUN
fbem-21461	170	2	&	&	CCONJ
fbem-21461	170	3	industrial	industrial	ADJ
fbem-21461	170	4	engineering	engineering	NOUN
fbem-21461	170	5	,	,	PUNCT
fbem-21461	170	6	2013	2013	NUM
fbem-21461	170	7	,	,	PUNCT
fbem-21461	170	8	66(2	66(2	NUM
fbem-21461	170	9	):	):	PUNCT
fbem-21461	170	10	352	352	NUM
fbem-21461	170	11	-	-	SYM
fbem-21461	170	12	359	359	NUM
fbem-21461	170	13	.	.	PUNCT
fbem-21461	171	1	[	[	X
fbem-21461	171	2	7	7	X
fbem-21461	171	3	]	]	X
fbem-21461	171	4	y	y	PROPN
fbem-21461	171	5	k	k	PROPN
fbem-21461	171	6	lin	lin	PROPN
fbem-21461	171	7	,	,	PUNCT
fbem-21461	171	8	c	c	PROPN
fbem-21461	171	9	t	t	PROPN
fbem-21461	171	10	yeh	yeh	PROPN
fbem-21461	171	11	,	,	PUNCT
fbem-21461	171	12	c	c	PROPN
fbem-21461	171	13	f	f	PROPN
fbem-21461	171	14	huang	huang	PROPN
fbem-21461	171	15	.	.	PUNCT
fbem-21461	171	16	reliability	reliability	NOUN
fbem-21461	171	17	assessment	assessment	NOUN
fbem-21461	171	18	of	of	ADP
fbem-21461	171	19	a	a	DET
fbem-21461	171	20	multistate	multistate	NOUN
fbem-21461	171	21	freight	freight	NOUN
fbem-21461	171	22	network	network	NOUN
fbem-21461	171	23	for	for	ADP
fbem-21461	171	24	perishable	perishable	ADJ
fbem-21461	171	25	merchandise	merchandise	NOUN
fbem-21461	171	26	with	with	ADP
fbem-21461	171	27	multiple	multiple	ADJ
fbem-21461	171	28	suppliers	supplier	NOUN
fbem-21461	171	29	and	and	CCONJ
fbem-21461	171	30	buyers[j	buyers[j	NOUN
fbem-21461	171	31	]	]	PUNCT
fbem-21461	171	32	.	.	PUNCT
fbem-21461	172	1	international	international	ADJ
fbem-21461	172	2	journal	journal	PROPN
fbem-21461	172	3	of	of	ADP
fbem-21461	172	4	systems	system	NOUN
fbem-21461	172	5	science	science	NOUN
fbem-21461	172	6	,	,	PUNCT
fbem-21461	172	7	2017	2017	NUM
fbem-21461	172	8	,	,	PUNCT
fbem-21461	172	9	48(1	48(1	NOUN
fbem-21461	172	10	):	):	PUNCT
fbem-21461	172	11	74	74	NUM
fbem-21461	172	12	-	-	SYM
fbem-21461	172	13	83	83	NUM
fbem-21461	172	14	.	.	PUNCT
fbem-21461	173	1	[	[	X
fbem-21461	173	2	8	8	NUM
fbem-21461	173	3	]	]	X
fbem-21461	173	4	y	y	PROPN
fbem-21461	173	5	k	k	PROPN
fbem-21461	173	6	lin	lin	PROPN
fbem-21461	173	7	,	,	PUNCT
fbem-21461	173	8	c	c	PROPN
fbem-21461	173	9	f	f	PROPN
fbem-21461	173	10	huang	huang	PROPN
fbem-21461	173	11	,	,	PUNCT
fbem-21461	173	12	c	c	PROPN
fbem-21461	173	13	t	t	PROPN
fbem-21461	173	14	yeh	yeh	PROPN
fbem-21461	173	15	.	.	PUNCT
fbem-21461	174	1	network	network	NOUN
fbem-21461	174	2	reliability	reliability	NOUN
fbem-21461	174	3	with	with	ADP
fbem-21461	174	4	deteriorating	deteriorate	VERB
fbem-21461	174	5	product	product	NOUN
fbem-21461	174	6	and	and	CCONJ
fbem-21461	174	7	production	production	NOUN
fbem-21461	174	8	capacity	capacity	NOUN
fbem-21461	174	9	through	through	ADP
fbem-21461	174	10	a	a	DET
fbem-21461	174	11	multistate	multistate	NOUN
fbem-21461	174	12	delivery	delivery	NOUN
fbem-21461	174	13	network[j	network[j	NOUN
fbem-21461	174	14	]	]	PUNCT
fbem-21461	174	15	.	.	PUNCT
fbem-21461	175	1	international	international	ADJ
fbem-21461	175	2	journal	journal	PROPN
fbem-21461	175	3	of	of	ADP
fbem-21461	175	4	production	production	NOUN
fbem-21461	175	5	research	research	NOUN
fbem-21461	175	6	,	,	PUNCT
fbem-21461	175	7	2014	2014	NUM
fbem-21461	175	8	,	,	PUNCT
fbem-21461	175	9	52(22	52(22	NUM
fbem-21461	175	10	):	):	PUNCT
fbem-21461	175	11	6681	6681	NUM
fbem-21461	175	12	-	-	SYM
fbem-21461	175	13	6694	6694	NUM
fbem-21461	175	14	.	.	PUNCT
fbem-21461	176	1	[	[	X
fbem-21461	176	2	9	9	NUM
fbem-21461	176	3	]	]	X
fbem-21461	176	4	y	y	PROPN
fbem-21461	176	5	k	k	PROPN
fbem-21461	176	6	lin	lin	PROPN
fbem-21461	176	7	,	,	PUNCT
fbem-21461	176	8	c	c	PROPN
fbem-21461	176	9	f	f	PROPN
fbem-21461	176	10	huang	huang	PROPN
fbem-21461	176	11	,	,	PUNCT
fbem-21461	176	12	y	y	PROPN
fbem-21461	176	13	c	c	PROPN
fbem-21461	176	14	liao	liao	PROPN
fbem-21461	176	15	.	.	PUNCT
fbem-21461	177	1	reliability	reliability	NOUN
fbem-21461	177	2	of	of	ADP
fbem-21461	177	3	a	a	DET
fbem-21461	177	4	stochastic	stochastic	ADJ
fbem-21461	177	5	intermodal	intermodal	ADJ
fbem-21461	177	6	logistics	logistic	NOUN
fbem-21461	177	7	network	network	NOUN
fbem-21461	177	8	under	under	ADP
fbem-21461	177	9	spoilage	spoilage	NOUN
fbem-21461	177	10	and	and	CCONJ
fbem-21461	177	11	time	time	NOUN
fbem-21461	177	12	considerations[j	considerations[j	PROPN
fbem-21461	177	13	]	]	PUNCT
fbem-21461	177	14	.	.	PUNCT
fbem-21461	178	1	annals	annal	NOUN
fbem-21461	178	2	of	of	ADP
fbem-21461	178	3	operations	operation	NOUN
fbem-21461	178	4	research	research	NOUN
fbem-21461	178	5	,	,	PUNCT
fbem-21461	178	6	2019	2019	NUM
fbem-21461	178	7	,	,	PUNCT
fbem-21461	178	8	277	277	NUM
fbem-21461	178	9	:	:	PUNCT
fbem-21461	178	10	95	95	NUM
fbem-21461	178	11	-	-	SYM
fbem-21461	178	12	118	118	NUM
fbem-21461	178	13	.	.	PUNCT
fbem-21461	179	1	[	[	X
fbem-21461	179	2	10	10	NUM
fbem-21461	179	3	]	]	X
fbem-21461	179	4	y	y	PROPN
fbem-21461	179	5	f	f	PROPN
fbem-21461	179	6	niu	niu	PROPN
fbem-21461	179	7	,	,	PUNCT
fbem-21461	179	8	c	c	VERB
fbem-21461	179	9	he	he	PRON
fbem-21461	179	10	,	,	PUNCT
fbem-21461	179	11	d	d	X
fbem-21461	179	12	q	q	NOUN
fbem-21461	179	13	fu	fu	NOUN
fbem-21461	179	14	.	.	PUNCT
fbem-21461	180	1	reliability	reliability	NOUN
fbem-21461	180	2	assessment	assessment	NOUN
fbem-21461	180	3	of	of	ADP
fbem-21461	180	4	a	a	DET
fbem-21461	180	5	multi	multi	ADJ
fbem-21461	180	6	-	-	ADJ
fbem-21461	180	7	state	state	ADJ
fbem-21461	180	8	distribution	distribution	NOUN
fbem-21461	180	9	network	network	NOUN
fbem-21461	180	10	under	under	ADP
fbem-21461	180	11	cost	cost	NOUN
fbem-21461	180	12	and	and	CCONJ
fbem-21461	180	13	spoilage	spoilage	VERB
fbem-21461	180	14	considerations[j	considerations[j	PROPN
fbem-21461	180	15	]	]	PUNCT
fbem-21461	180	16	.	.	PUNCT
fbem-21461	181	1	annals	annal	NOUN
fbem-21461	181	2	of	of	ADP
fbem-21461	181	3	operations	operation	NOUN
fbem-21461	181	4	research	research	NOUN
fbem-21461	181	5	,	,	PUNCT
fbem-21461	181	6	2022	2022	NUM
fbem-21461	181	7	:	:	PUNCT
fbem-21461	181	8	1	1	NUM
fbem-21461	181	9	-	-	SYM
fbem-21461	181	10	20	20	NUM
fbem-21461	181	11	.	.	PUNCT
fbem-21461	182	1	[	[	X
fbem-21461	182	2	11	11	NUM
fbem-21461	182	3	]	]	X
fbem-21461	182	4	y	y	PROPN
fbem-21461	182	5	f	f	PROPN
fbem-21461	182	6	niu	niu	PROPN
fbem-21461	182	7	,	,	PUNCT
fbem-21461	182	8	x	x	PROPN
fbem-21461	182	9	z	z	PROPN
fbem-21461	182	10	xu	xu	PROPN
fbem-21461	182	11	,	,	PUNCT
fbem-21461	182	12	c	c	VERB
fbem-21461	182	13	he	he	PRON
fbem-21461	182	14	,	,	PUNCT
fbem-21461	182	15	et	et	PROPN
fbem-21461	182	16	al	al	PROPN
fbem-21461	182	17	.	.	PUNCT
fbem-21461	182	18	capacity	capacity	NOUN
fbem-21461	182	19	reliability	reliability	NOUN
fbem-21461	182	20	calculation	calculation	NOUN
fbem-21461	182	21	and	and	CCONJ
fbem-21461	182	22	sensitivity	sensitivity	NOUN
fbem-21461	182	23	analysis	analysis	NOUN
fbem-21461	182	24	for	for	ADP
fbem-21461	182	25	a	a	DET
fbem-21461	182	26	stochastic	stochastic	ADJ
fbem-21461	182	27	transport	transport	NOUN
fbem-21461	182	28	network[j	network[j	NOUN
fbem-21461	182	29	]	]	PUNCT
fbem-21461	182	30	.	.	PUNCT
fbem-21461	183	1	ieee	ieee	NOUN
fbem-21461	183	2	access	access	NOUN
fbem-21461	183	3	,	,	PUNCT
fbem-21461	183	4	2020	2020	NUM
fbem-21461	183	5	,	,	PUNCT
fbem-21461	183	6	8	8	NUM
fbem-21461	183	7	:	:	SYM
fbem-21461	183	8	133161	133161	NUM
fbem-21461	183	9	-	-	SYM
fbem-21461	183	10	133169	133169	NUM
fbem-21461	183	11	.	.	PUNCT
fbem-21461	184	1	[	[	X
fbem-21461	184	2	12	12	NUM
fbem-21461	184	3	]	]	X
fbem-21461	184	4	c	c	PROPN
fbem-21461	184	5	f	f	PROPN
fbem-21461	184	6	huang	huang	PROPN
fbem-21461	184	7	,	,	PUNCT
fbem-21461	184	8	d	d	PROPN
fbem-21461	184	9	h	h	PROPN
fbem-21461	184	10	huang	huang	PROPN
fbem-21461	184	11	,	,	PUNCT
fbem-21461	184	12	y	y	PROPN
fbem-21461	184	13	k	k	PROPN
fbem-21461	184	14	lin	lin	PROPN
fbem-21461	184	15	.	.	PUNCT
fbem-21461	185	1	network	network	NOUN
fbem-21461	185	2	reliability	reliability	NOUN
fbem-21461	185	3	evaluation	evaluation	NOUN
fbem-21461	185	4	for	for	ADP
fbem-21461	185	5	multi	multi	ADJ
fbem-21461	185	6	-	-	ADJ
fbem-21461	185	7	state	state	ADJ
fbem-21461	185	8	computing	computing	NOUN
fbem-21461	185	9	networks	network	NOUN
fbem-21461	185	10	considering	consider	VERB
fbem-21461	185	11	demand	demand	NOUN
fbem-21461	185	12	as	as	ADP
fbem-21461	185	13	the	the	DET
fbem-21461	185	14	non	non	ADJ
fbem-21461	185	15	-	-	ADJ
fbem-21461	185	16	integer	integer	ADJ
fbem-21461	185	17	type[j	type[j	NOUN
fbem-21461	185	18	]	]	PUNCT
fbem-21461	185	19	.	.	PUNCT
fbem-21461	186	1	reliability	reliability	NOUN
fbem-21461	186	2	engineering	engineering	NOUN
fbem-21461	186	3	&	&	CCONJ
fbem-21461	186	4	system	system	NOUN
fbem-21461	186	5	safety	safety	NOUN
fbem-21461	186	6	,	,	PUNCT
fbem-21461	186	7	2022	2022	NUM
fbem-21461	186	8	,	,	PUNCT
fbem-21461	186	9	219	219	NUM
fbem-21461	186	10	:	:	SYM
fbem-21461	186	11	108226	108226	NUM
fbem-21461	186	12	.	.	PUNCT