id	sid	tid	token	lemma	pos
concept-1835	1	1	microsoft	microsoft	PROPN
concept-1835	1	2	word	word	PROPN
concept-1835	1	3	reiter	reiter	PROPN
concept-1835	1	4	final	final	ADJ
concept-1835	1	5	version.docx	version.docx	NOUN
concept-1835	1	6	[	[	X
concept-1835	1	7	concept	concept	NOUN
concept-1835	1	8	,	,	PUNCT
concept-1835	1	9	vol	vol	NOUN
concept-1835	1	10	.	.	PUNCT
concept-1835	2	1	xxxviii	xxxviii	PROPN
concept-1835	2	2	(	(	PUNCT
concept-1835	2	3	2015	2015	NUM
concept-1835	2	4	)	)	PUNCT
concept-1835	2	5	]	]	PUNCT
concept-1835	3	1	application	application	NOUN
concept-1835	3	2	of	of	ADP
concept-1835	3	3	a	a	DET
concept-1835	3	4	markov	markov	NOUN
concept-1835	3	5	chain	chain	NOUN
concept-1835	3	6	traffic	traffic	NOUN
concept-1835	3	7	model	model	NOUN
concept-1835	3	8	to	to	ADP
concept-1835	3	9	the	the	DET
concept-1835	3	10	greater	great	ADJ
concept-1835	3	11	philadelphia	philadelphia	PROPN
concept-1835	3	12	region	region	NOUN
concept-1835	3	13	joseph	joseph	PROPN
concept-1835	3	14	reiter	reiter	PROPN
concept-1835	3	15	mathematics	mathematics	PROPN
concept-1835	3	16	and	and	CCONJ
concept-1835	3	17	statistics	statistic	NOUN
concept-1835	3	18	introduction	introduction	NOUN
concept-1835	3	19	traffic	traffic	NOUN
concept-1835	3	20	congestion	congestion	NOUN
concept-1835	3	21	in	in	ADP
concept-1835	3	22	urban	urban	ADJ
concept-1835	3	23	areas	area	NOUN
concept-1835	3	24	has	have	AUX
concept-1835	3	25	been	be	AUX
concept-1835	3	26	an	an	DET
concept-1835	3	27	issue	issue	NOUN
concept-1835	3	28	since	since	SCONJ
concept-1835	3	29	the	the	DET
concept-1835	3	30	beginning	beginning	NOUN
concept-1835	3	31	of	of	ADP
concept-1835	3	32	the	the	DET
concept-1835	3	33	20th	20th	ADJ
concept-1835	3	34	century	century	NOUN
concept-1835	3	35	,	,	PUNCT
concept-1835	3	36	and	and	CCONJ
concept-1835	3	37	it	it	PRON
concept-1835	3	38	continues	continue	VERB
concept-1835	3	39	to	to	PART
concept-1835	3	40	be	be	AUX
concept-1835	3	41	one	one	NUM
concept-1835	3	42	of	of	ADP
concept-1835	3	43	the	the	DET
concept-1835	3	44	most	most	ADV
concept-1835	3	45	persistent	persistent	ADJ
concept-1835	3	46	problems	problem	NOUN
concept-1835	3	47	facing	face	VERB
concept-1835	3	48	urban	urban	ADJ
concept-1835	3	49	planners	planner	NOUN
concept-1835	3	50	.	.	PUNCT
concept-1835	4	1	the	the	DET
concept-1835	4	2	phenomenon	phenomenon	NOUN
concept-1835	4	3	has	have	AUX
concept-1835	4	4	been	be	AUX
concept-1835	4	5	extensively	extensively	ADV
concept-1835	4	6	studied	study	VERB
concept-1835	4	7	and	and	CCONJ
concept-1835	4	8	several	several	ADJ
concept-1835	4	9	models	model	NOUN
concept-1835	4	10	have	have	AUX
concept-1835	4	11	been	be	AUX
concept-1835	4	12	used	use	VERB
concept-1835	4	13	to	to	PART
concept-1835	4	14	explain	explain	VERB
concept-1835	4	15	where	where	SCONJ
concept-1835	4	16	,	,	PUNCT
concept-1835	4	17	when	when	SCONJ
concept-1835	4	18	,	,	PUNCT
concept-1835	4	19	and	and	CCONJ
concept-1835	4	20	how	how	SCONJ
concept-1835	4	21	vehicles	vehicle	NOUN
concept-1835	4	22	move	move	VERB
concept-1835	4	23	through	through	ADP
concept-1835	4	24	a	a	DET
concept-1835	4	25	network	network	NOUN
concept-1835	4	26	of	of	ADP
concept-1835	4	27	roads	road	NOUN
concept-1835	4	28	.	.	PUNCT
concept-1835	5	1	limited	limited	ADJ
concept-1835	5	2	access	access	NOUN
concept-1835	5	3	highways	highway	NOUN
concept-1835	5	4	changed	change	VERB
concept-1835	5	5	how	how	SCONJ
concept-1835	5	6	vehicles	vehicle	NOUN
concept-1835	5	7	flowed	flow	VERB
concept-1835	5	8	in	in	ADP
concept-1835	5	9	and	and	CCONJ
concept-1835	5	10	around	around	ADP
concept-1835	5	11	cities	city	NOUN
concept-1835	5	12	and	and	CCONJ
concept-1835	5	13	across	across	ADP
concept-1835	5	14	the	the	DET
concept-1835	5	15	country	country	NOUN
concept-1835	5	16	.	.	PUNCT
concept-1835	6	1	they	they	PRON
concept-1835	6	2	allow	allow	VERB
concept-1835	6	3	vehicles	vehicle	NOUN
concept-1835	6	4	to	to	PART
concept-1835	6	5	maintain	maintain	VERB
concept-1835	6	6	constant	constant	ADJ
concept-1835	6	7	speeds	speed	NOUN
concept-1835	6	8	between	between	ADP
concept-1835	6	9	exits	exit	NOUN
concept-1835	6	10	and	and	CCONJ
concept-1835	6	11	are	be	AUX
concept-1835	6	12	partially	partially	ADV
concept-1835	6	13	responsible	responsible	ADJ
concept-1835	6	14	for	for	ADP
concept-1835	6	15	the	the	DET
concept-1835	6	16	expansion	expansion	NOUN
concept-1835	6	17	of	of	ADP
concept-1835	6	18	cities	city	NOUN
concept-1835	6	19	(	(	PUNCT
concept-1835	6	20	rephann	rephann	PROPN
concept-1835	6	21	&	&	CCONJ
concept-1835	6	22	isserman	isserman	NOUN
concept-1835	6	23	,	,	PUNCT
concept-1835	6	24	1994	1994	NUM
concept-1835	6	25	)	)	PUNCT
concept-1835	6	26	.	.	PUNCT
concept-1835	7	1	the	the	DET
concept-1835	7	2	challenge	challenge	NOUN
concept-1835	7	3	in	in	ADP
concept-1835	7	4	studying	study	VERB
concept-1835	7	5	a	a	DET
concept-1835	7	6	road	road	NOUN
concept-1835	7	7	system	system	NOUN
concept-1835	7	8	populated	populate	VERB
concept-1835	7	9	with	with	ADP
concept-1835	7	10	vehicles	vehicle	NOUN
concept-1835	7	11	is	be	AUX
concept-1835	7	12	that	that	SCONJ
concept-1835	7	13	the	the	DET
concept-1835	7	14	number	number	NOUN
concept-1835	7	15	of	of	ADP
concept-1835	7	16	parts	part	NOUN
concept-1835	7	17	interacting	interact	VERB
concept-1835	7	18	at	at	ADP
concept-1835	7	19	the	the	DET
concept-1835	7	20	same	same	ADJ
concept-1835	7	21	time	time	NOUN
concept-1835	7	22	is	be	AUX
concept-1835	7	23	very	very	ADV
concept-1835	7	24	large	large	ADJ
concept-1835	7	25	.	.	PUNCT
concept-1835	8	1	each	each	DET
concept-1835	8	2	individual	individual	ADJ
concept-1835	8	3	vehicle	vehicle	NOUN
concept-1835	8	4	in	in	ADP
concept-1835	8	5	the	the	DET
concept-1835	8	6	system	system	NOUN
concept-1835	8	7	must	must	AUX
concept-1835	8	8	be	be	AUX
concept-1835	8	9	considered	consider	VERB
concept-1835	8	10	on	on	ADP
concept-1835	8	11	its	its	PRON
concept-1835	8	12	own	own	ADJ
concept-1835	8	13	and	and	CCONJ
concept-1835	8	14	also	also	ADV
concept-1835	8	15	as	as	ADP
concept-1835	8	16	a	a	DET
concept-1835	8	17	part	part	NOUN
concept-1835	8	18	of	of	ADP
concept-1835	8	19	the	the	DET
concept-1835	8	20	system	system	NOUN
concept-1835	8	21	as	as	ADP
concept-1835	8	22	a	a	DET
concept-1835	8	23	whole	whole	NOUN
concept-1835	8	24	.	.	PUNCT
concept-1835	9	1	in	in	ADP
concept-1835	9	2	some	some	DET
concept-1835	9	3	ways	way	NOUN
concept-1835	9	4	,	,	PUNCT
concept-1835	9	5	this	this	DET
concept-1835	9	6	system	system	NOUN
concept-1835	9	7	acts	act	VERB
concept-1835	9	8	like	like	ADP
concept-1835	9	9	a	a	DET
concept-1835	9	10	complex	complex	ADJ
concept-1835	9	11	economy	economy	NOUN
concept-1835	9	12	;	;	PUNCT
concept-1835	9	13	each	each	DET
concept-1835	9	14	vehicle	vehicle	NOUN
concept-1835	9	15	acts	act	VERB
concept-1835	9	16	to	to	PART
concept-1835	9	17	maximize	maximize	VERB
concept-1835	9	18	its	its	PRON
concept-1835	9	19	utility	utility	NOUN
concept-1835	9	20	by	by	ADP
concept-1835	9	21	minimizing	minimize	VERB
concept-1835	9	22	travel	travel	NOUN
concept-1835	9	23	time	time	NOUN
concept-1835	9	24	,	,	PUNCT
concept-1835	9	25	avoiding	avoid	VERB
concept-1835	9	26	hazards	hazard	NOUN
concept-1835	9	27	,	,	PUNCT
concept-1835	9	28	and	and	CCONJ
concept-1835	9	29	seeking	seek	VERB
concept-1835	9	30	the	the	DET
concept-1835	9	31	least	least	ADV
concept-1835	9	32	troublesome	troublesome	ADJ
concept-1835	9	33	route	route	NOUN
concept-1835	9	34	to	to	ADP
concept-1835	9	35	its	its	PRON
concept-1835	9	36	destination	destination	NOUN
concept-1835	9	37	.	.	PUNCT
concept-1835	10	1	each	each	DET
concept-1835	10	2	constituent	constituent	ADJ
concept-1835	10	3	part	part	NOUN
concept-1835	10	4	of	of	ADP
concept-1835	10	5	the	the	DET
concept-1835	10	6	system	system	NOUN
concept-1835	10	7	has	have	VERB
concept-1835	10	8	some	some	DET
concept-1835	10	9	effect	effect	NOUN
concept-1835	10	10	on	on	ADP
concept-1835	10	11	all	all	DET
concept-1835	10	12	the	the	DET
concept-1835	10	13	other	other	ADJ
concept-1835	10	14	parts	part	NOUN
concept-1835	10	15	in	in	ADP
concept-1835	10	16	the	the	DET
concept-1835	10	17	system	system	NOUN
concept-1835	10	18	.	.	PUNCT
concept-1835	11	1	this	this	DET
concept-1835	11	2	paper	paper	NOUN
concept-1835	11	3	looks	look	VERB
concept-1835	11	4	at	at	ADP
concept-1835	11	5	the	the	DET
concept-1835	11	6	issue	issue	NOUN
concept-1835	11	7	of	of	ADP
concept-1835	11	8	traffic	traffic	NOUN
concept-1835	11	9	congestion	congestion	NOUN
concept-1835	11	10	around	around	ADP
concept-1835	11	11	cities	city	NOUN
concept-1835	11	12	and	and	CCONJ
concept-1835	11	13	demonstrates	demonstrate	VERB
concept-1835	11	14	a	a	DET
concept-1835	11	15	model	model	NOUN
concept-1835	11	16	that	that	PRON
concept-1835	11	17	predicts	predict	VERB
concept-1835	11	18	areas	area	NOUN
concept-1835	11	19	of	of	ADP
concept-1835	11	20	traffic	traffic	NOUN
concept-1835	11	21	congestion	congestion	NOUN
concept-1835	11	22	based	base	VERB
concept-1835	11	23	on	on	ADP
concept-1835	11	24	census	census	NOUN
concept-1835	11	25	data	datum	NOUN
concept-1835	11	26	along	along	ADP
concept-1835	11	27	with	with	ADP
concept-1835	11	28	statewide	statewide	ADJ
concept-1835	11	29	traffic	traffic	NOUN
concept-1835	11	30	data	datum	NOUN
concept-1835	11	31	.	.	PUNCT
concept-1835	12	1	the	the	DET
concept-1835	12	2	model	model	NOUN
concept-1835	12	3	utilizes	utilize	VERB
concept-1835	12	4	a	a	DET
concept-1835	12	5	markov	markov	NOUN
concept-1835	12	6	chain	chain	NOUN
concept-1835	12	7	process	process	NOUN
concept-1835	12	8	in	in	ADP
concept-1835	12	9	order	order	NOUN
concept-1835	12	10	to	to	PART
concept-1835	12	11	analyze	analyze	VERB
concept-1835	12	12	the	the	DET
concept-1835	12	13	origin	origin	NOUN
concept-1835	12	14	-	-	PUNCT
concept-1835	12	15	destination	destination	NOUN
concept-1835	12	16	paths	path	NOUN
concept-1835	12	17	of	of	ADP
concept-1835	12	18	vehicles	vehicle	NOUN
concept-1835	12	19	in	in	ADP
concept-1835	12	20	a	a	DET
concept-1835	12	21	network	network	NOUN
concept-1835	12	22	system	system	NOUN
concept-1835	12	23	.	.	PUNCT
concept-1835	13	1	this	this	DET
concept-1835	13	2	method	method	NOUN
concept-1835	13	3	is	be	AUX
concept-1835	13	4	applied	apply	VERB
concept-1835	13	5	to	to	ADP
concept-1835	13	6	the	the	DET
concept-1835	13	7	greater	great	ADJ
concept-1835	13	8	philadelphia	philadelphia	PROPN
concept-1835	13	9	region	region	NOUN
concept-1835	13	10	and	and	CCONJ
concept-1835	13	11	evaluated	evaluate	VERB
concept-1835	13	12	for	for	ADP
concept-1835	13	13	its	its	PRON
concept-1835	13	14	predictive	predictive	ADJ
concept-1835	13	15	value	value	NOUN
concept-1835	13	16	.	.	PUNCT
concept-1835	14	1	the	the	DET
concept-1835	14	2	implications	implication	NOUN
concept-1835	14	3	of	of	ADP
concept-1835	14	4	this	this	DET
concept-1835	14	5	model	model	NOUN
concept-1835	14	6	and	and	CCONJ
concept-1835	14	7	possible	possible	ADJ
concept-1835	14	8	extensions	extension	NOUN
concept-1835	14	9	are	be	AUX
concept-1835	14	10	also	also	ADV
concept-1835	14	11	considered	consider	VERB
concept-1835	14	12	.	.	PUNCT
concept-1835	15	1	review	review	NOUN
concept-1835	15	2	of	of	ADP
concept-1835	15	3	traffic	traffic	NOUN
concept-1835	15	4	models	model	NOUN
concept-1835	15	5	microscopic	microscopic	ADJ
concept-1835	15	6	models	model	NOUN
concept-1835	15	7	microscopic	microscopic	ADJ
concept-1835	15	8	models	model	NOUN
concept-1835	15	9	focus	focus	VERB
concept-1835	15	10	on	on	ADP
concept-1835	15	11	the	the	DET
concept-1835	15	12	individual	individual	ADJ
concept-1835	15	13	interactions	interaction	NOUN
concept-1835	15	14	between	between	ADP
concept-1835	15	15	vehicles	vehicle	NOUN
concept-1835	15	16	and	and	CCONJ
concept-1835	15	17	the	the	DET
concept-1835	15	18	roadway	roadway	NOUN
concept-1835	15	19	.	.	PUNCT
concept-1835	16	1	vehicles	vehicle	NOUN
concept-1835	16	2	follow	follow	VERB
concept-1835	16	3	specific	specific	ADJ
concept-1835	16	4	rules	rule	NOUN
concept-1835	16	5	,	,	PUNCT
concept-1835	16	6	outlined	outline	VERB
concept-1835	16	7	in	in	ADP
concept-1835	16	8	the	the	DET
concept-1835	16	9	model	model	NOUN
concept-1835	16	10	,	,	PUNCT
concept-1835	16	11	that	that	PRON
concept-1835	16	12	govern	govern	VERB
concept-1835	16	13	their	their	PRON
concept-1835	16	14	  	  	SPACE
concept-1835	16	15	movement	movement	NOUN
concept-1835	16	16	in	in	ADP
concept-1835	16	17	the	the	DET
concept-1835	16	18	system	system	NOUN
concept-1835	16	19	(	(	PUNCT
concept-1835	16	20	velasco	velasco	PROPN
concept-1835	16	21	&	&	CCONJ
concept-1835	16	22	saayedra	saayedra	PROPN
concept-1835	16	23	,	,	PUNCT
concept-1835	16	24	2008	2008	NUM
concept-1835	16	25	)	)	PUNCT
concept-1835	16	26	.	.	PUNCT
concept-1835	17	1	these	these	DET
concept-1835	17	2	rules	rule	NOUN
concept-1835	17	3	relate	relate	VERB
concept-1835	17	4	values	value	NOUN
concept-1835	17	5	such	such	ADJ
concept-1835	17	6	as	as	ADP
concept-1835	17	7	velocity	velocity	NOUN
concept-1835	17	8	,	,	PUNCT
concept-1835	17	9	distance	distance	NOUN
concept-1835	17	10	to	to	ADP
concept-1835	17	11	nearby	nearby	ADJ
concept-1835	17	12	vehicles	vehicle	NOUN
concept-1835	17	13	,	,	PUNCT
concept-1835	17	14	and	and	CCONJ
concept-1835	17	15	time	time	NOUN
concept-1835	17	16	.	.	PUNCT
concept-1835	18	1	one	one	NUM
concept-1835	18	2	common	common	ADJ
concept-1835	18	3	microscopic	microscopic	ADJ
concept-1835	18	4	traffic	traffic	NOUN
concept-1835	18	5	model	model	NOUN
concept-1835	18	6	is	be	AUX
concept-1835	18	7	“	"	PUNCT
concept-1835	18	8	follow	follow	VERB
concept-1835	18	9	-	-	PUNCT
concept-1835	18	10	the	the	DET
concept-1835	18	11	-	-	PUNCT
concept-1835	18	12	leader	leader	NOUN
concept-1835	18	13	”	"	PUNCT
concept-1835	18	14	,	,	PUNCT
concept-1835	18	15	which	which	PRON
concept-1835	18	16	utilizes	utilize	VERB
concept-1835	18	17	a	a	DET
concept-1835	18	18	dynamical	dynamical	ADJ
concept-1835	18	19	equation	equation	NOUN
concept-1835	18	20	or	or	CCONJ
concept-1835	18	21	system	system	NOUN
concept-1835	18	22	of	of	ADP
concept-1835	18	23	differential	differential	ADJ
concept-1835	18	24	equations	equation	NOUN
concept-1835	18	25	relating	relate	VERB
concept-1835	18	26	the	the	DET
concept-1835	18	27	motion	motion	NOUN
concept-1835	18	28	of	of	ADP
concept-1835	18	29	the	the	DET
concept-1835	18	30	(	(	PUNCT
concept-1835	18	31	n+1)th	n+1)th	PROPN
concept-1835	18	32	vehicle	vehicle	NOUN
concept-1835	18	33	following	follow	VERB
concept-1835	18	34	the	the	DET
concept-1835	18	35	nth	nth	NOUN
concept-1835	18	36	vehicle	vehicle	NOUN
concept-1835	18	37	in	in	ADP
concept-1835	18	38	a	a	DET
concept-1835	18	39	single	single	ADJ
concept-1835	18	40	lane	lane	NOUN
concept-1835	18	41	(	(	PUNCT
concept-1835	18	42	gazis	gazi	NOUN
concept-1835	18	43	,	,	PUNCT
concept-1835	18	44	herman	herman	NOUN
concept-1835	18	45	,	,	PUNCT
concept-1835	18	46	&	&	CCONJ
concept-1835	18	47	rothery	rothery	NOUN
concept-1835	18	48	,	,	PUNCT
concept-1835	18	49	1961	1961	NUM
concept-1835	18	50	):	):	PUNCT
concept-1835	18	51	𝑥	𝑥	X
concept-1835	18	52	!	!	PUNCT
concept-1835	18	53	!	!	PUNCT
concept-1835	18	54	!	!	PUNCT
concept-1835	19	1	𝑡	𝑡	X
concept-1835	20	1	+	+	CCONJ
concept-1835	20	2	𝑇	𝑇	PROPN
concept-1835	20	3	=	=	SYM
concept-1835	20	4	 	 	SPACE
concept-1835	20	5	𝜆	𝜆	PRON
concept-1835	20	6	𝑥	𝑥	X
concept-1835	20	7	!	!	PUNCT
concept-1835	20	8	𝑡	𝑡	PROPN
concept-1835	20	9	−	−	PROPN
concept-1835	20	10	𝑥	𝑥	NOUN
concept-1835	20	11	!	!	PUNCT
concept-1835	20	12	!	!	PUNCT
concept-1835	20	13	!	!	PUNCT
concept-1835	21	1	𝑡	𝑡	PROPN
concept-1835	21	2	,	,	PUNCT
concept-1835	21	3	where	where	SCONJ
concept-1835	21	4	xn	xn	PROPN
concept-1835	21	5	is	be	AUX
concept-1835	21	6	the	the	DET
concept-1835	21	7	position	position	NOUN
concept-1835	21	8	of	of	ADP
concept-1835	21	9	the	the	DET
concept-1835	21	10	nth	nth	NOUN
concept-1835	21	11	vehicle	vehicle	NOUN
concept-1835	21	12	,	,	PUNCT
concept-1835	21	13	t	t	PROPN
concept-1835	21	14	is	be	AUX
concept-1835	21	15	the	the	DET
concept-1835	21	16	time	time	NOUN
concept-1835	21	17	lag	lag	NOUN
concept-1835	21	18	of	of	ADP
concept-1835	21	19	response	response	NOUN
concept-1835	21	20	to	to	ADP
concept-1835	21	21	the	the	DET
concept-1835	21	22	stimulus	stimulus	NOUN
concept-1835	21	23	,	,	PUNCT
concept-1835	21	24	λ	λ	PROPN
concept-1835	21	25	is	be	AUX
concept-1835	21	26	the	the	DET
concept-1835	21	27	sensitivity	sensitivity	NOUN
concept-1835	21	28	,	,	PUNCT
concept-1835	21	29	and	and	CCONJ
concept-1835	21	30	the	the	DET
concept-1835	21	31	dots	dot	NOUN
concept-1835	21	32	denote	denote	VERB
concept-1835	21	33	differentiation	differentiation	NOUN
concept-1835	21	34	with	with	ADP
concept-1835	21	35	respect	respect	NOUN
concept-1835	21	36	to	to	ADP
concept-1835	21	37	time	time	NOUN
concept-1835	21	38	t.	t.	PROPN
concept-1835	21	39	nagel	nagel	PROPN
concept-1835	21	40	and	and	CCONJ
concept-1835	21	41	schreckenberg	schreckenberg	AUX
concept-1835	21	42	developed	develop	VERB
concept-1835	21	43	a	a	DET
concept-1835	21	44	cellular	cellular	ADJ
concept-1835	21	45	automata	automata	NOUN
concept-1835	21	46	model	model	NOUN
concept-1835	21	47	that	that	PRON
concept-1835	21	48	dictates	dictate	VERB
concept-1835	21	49	rules	rule	NOUN
concept-1835	21	50	for	for	ADP
concept-1835	21	51	traffic	traffic	NOUN
concept-1835	21	52	movements	movement	NOUN
concept-1835	21	53	.	.	PUNCT
concept-1835	22	1	these	these	DET
concept-1835	22	2	rules	rule	NOUN
concept-1835	22	3	account	account	VERB
concept-1835	22	4	for	for	ADP
concept-1835	22	5	how	how	SCONJ
concept-1835	22	6	vehicles	vehicle	NOUN
concept-1835	22	7	accelerate	accelerate	VERB
concept-1835	22	8	with	with	ADP
concept-1835	22	9	relation	relation	NOUN
concept-1835	22	10	to	to	ADP
concept-1835	22	11	each	each	DET
concept-1835	22	12	other	other	ADJ
concept-1835	22	13	and	and	CCONJ
concept-1835	22	14	move	move	VERB
concept-1835	22	15	along	along	ADP
concept-1835	22	16	the	the	DET
concept-1835	22	17	roadway	roadway	NOUN
concept-1835	22	18	.	.	PUNCT
concept-1835	23	1	the	the	DET
concept-1835	23	2	product	product	NOUN
concept-1835	23	3	of	of	ADP
concept-1835	23	4	the	the	DET
concept-1835	23	5	model	model	NOUN
concept-1835	23	6	is	be	AUX
concept-1835	23	7	a	a	DET
concept-1835	23	8	time	time	NOUN
concept-1835	23	9	vs.	vs.	ADP
concept-1835	23	10	space	space	NOUN
concept-1835	23	11	(	(	PUNCT
concept-1835	23	12	road	road	NOUN
concept-1835	23	13	)	)	PUNCT
concept-1835	23	14	plot	plot	NOUN
concept-1835	23	15	which	which	PRON
concept-1835	23	16	tracks	track	VERB
concept-1835	23	17	how	how	SCONJ
concept-1835	23	18	dense	dense	ADJ
concept-1835	23	19	traffic	traffic	NOUN
concept-1835	23	20	is	be	AUX
concept-1835	23	21	at	at	ADP
concept-1835	23	22	each	each	DET
concept-1835	23	23	point	point	NOUN
concept-1835	23	24	in	in	ADP
concept-1835	23	25	the	the	DET
concept-1835	23	26	road	road	NOUN
concept-1835	23	27	during	during	ADP
concept-1835	23	28	a	a	DET
concept-1835	23	29	time	time	NOUN
concept-1835	23	30	interval	interval	NOUN
concept-1835	23	31	.	.	PUNCT
concept-1835	24	1	this	this	DET
concept-1835	24	2	plot	plot	NOUN
concept-1835	24	3	shows	show	VERB
concept-1835	24	4	how	how	SCONJ
concept-1835	24	5	congestion	congestion	NOUN
concept-1835	24	6	patterns	pattern	NOUN
concept-1835	24	7	can	can	AUX
concept-1835	24	8	travel	travel	VERB
concept-1835	24	9	in	in	ADP
concept-1835	24	10	both	both	DET
concept-1835	24	11	time	time	NOUN
concept-1835	24	12	and	and	CCONJ
concept-1835	24	13	space	space	NOUN
concept-1835	24	14	(	(	PUNCT
concept-1835	24	15	nagal	nagal	ADJ
concept-1835	24	16	&	&	CCONJ
concept-1835	24	17	schreckenberg	schreckenberg	NOUN
concept-1835	24	18	,	,	PUNCT
concept-1835	24	19	1992	1992	NUM
concept-1835	24	20	)	)	PUNCT
concept-1835	24	21	.	.	PUNCT
concept-1835	25	1	a	a	DET
concept-1835	25	2	model	model	NOUN
concept-1835	25	3	put	put	VERB
concept-1835	25	4	forth	forth	ADP
concept-1835	25	5	by	by	ADP
concept-1835	25	6	indrei	indrei	ADJ
concept-1835	25	7	utilizes	utilizes	ADJ
concept-1835	25	8	markov	markov	NOUN
concept-1835	25	9	chains	chain	NOUN
concept-1835	25	10	to	to	PART
concept-1835	25	11	construct	construct	VERB
concept-1835	25	12	a	a	DET
concept-1835	25	13	theoretical	theoretical	ADJ
concept-1835	25	14	traffic	traffic	NOUN
concept-1835	25	15	system	system	NOUN
concept-1835	25	16	in	in	ADP
concept-1835	25	17	a	a	DET
concept-1835	25	18	real	real	ADJ
concept-1835	25	19	space	space	NOUN
concept-1835	25	20	ℜ	ℜ	NOUN
concept-1835	25	21	(	(	PUNCT
concept-1835	25	22	indrei	indrei	NOUN
concept-1835	25	23	,	,	PUNCT
concept-1835	25	24	2006	2006	NUM
concept-1835	25	25	)	)	PUNCT
concept-1835	25	26	.	.	PUNCT
concept-1835	26	1	an	an	DET
concept-1835	26	2	object	object	NOUN
concept-1835	26	3	located	locate	VERB
concept-1835	26	4	in	in	ADP
concept-1835	26	5	a	a	DET
concept-1835	26	6	particular	particular	ADJ
concept-1835	26	7	element	element	NOUN
concept-1835	26	8	(	(	PUNCT
concept-1835	26	9	i	i	PROPN
concept-1835	26	10	,	,	PUNCT
concept-1835	26	11	j	j	PROPN
concept-1835	26	12	)	)	PUNCT
concept-1835	26	13	of	of	ADP
concept-1835	26	14	the	the	DET
concept-1835	26	15	configuration	configuration	NOUN
concept-1835	26	16	matrix	matrix	NOUN
concept-1835	26	17	transitions	transition	NOUN
concept-1835	26	18	to	to	ADP
concept-1835	26	19	a	a	DET
concept-1835	26	20	new	new	ADJ
concept-1835	26	21	location	location	NOUN
concept-1835	26	22	in	in	ADP
concept-1835	26	23	discrete	discrete	ADJ
concept-1835	26	24	time	time	NOUN
concept-1835	26	25	.	.	PUNCT
concept-1835	27	1	each	each	DET
concept-1835	27	2	element	element	NOUN
concept-1835	27	3	of	of	ADP
concept-1835	27	4	this	this	DET
concept-1835	27	5	matrix	matrix	NOUN
concept-1835	27	6	represents	represent	VERB
concept-1835	27	7	a	a	DET
concept-1835	27	8	position	position	NOUN
concept-1835	27	9	on	on	ADP
concept-1835	27	10	the	the	DET
concept-1835	27	11	roadway	roadway	NOUN
concept-1835	27	12	.	.	PUNCT
concept-1835	28	1	vehicle	vehicle	NOUN
concept-1835	28	2	movements	movement	NOUN
concept-1835	28	3	are	be	AUX
concept-1835	28	4	defined	define	VERB
concept-1835	28	5	as	as	ADP
concept-1835	28	6	a	a	DET
concept-1835	28	7	transition	transition	NOUN
concept-1835	28	8	where	where	SCONJ
concept-1835	28	9	rows	row	NOUN
concept-1835	28	10	represent	represent	VERB
concept-1835	28	11	highway	highway	NOUN
concept-1835	28	12	lanes	lane	NOUN
concept-1835	28	13	and	and	CCONJ
concept-1835	28	14	columns	column	NOUN
concept-1835	28	15	represent	represent	VERB
concept-1835	28	16	length	length	NOUN
concept-1835	28	17	of	of	ADP
concept-1835	28	18	the	the	DET
concept-1835	28	19	highway	highway	NOUN
concept-1835	28	20	segments	segment	NOUN
concept-1835	28	21	:	:	PUNCT
concept-1835	28	22	𝑖	𝑖	X
concept-1835	28	23	,	,	PUNCT
concept-1835	28	24	𝑗	𝑗	PROPN
concept-1835	28	25	⋈	⋈	X
concept-1835	28	26	𝑓	𝑓	PRON
concept-1835	28	27	𝑖	𝑖	X
concept-1835	28	28	,	,	PUNCT
concept-1835	28	29	𝑗	𝑗	PROPN
concept-1835	28	30	+	+	NUM
concept-1835	29	1	𝜎	𝜎	ADJ
concept-1835	29	2	𝑜𝑏𝑗𝑒𝑐𝑡	𝑜𝑏𝑗𝑒𝑐𝑡	NOUN
concept-1835	29	3	,	,	PUNCT
concept-1835	29	4	the	the	DET
concept-1835	29	5	symbol	symbol	NOUN
concept-1835	29	6	⋈	⋈	PROPN
concept-1835	29	7	represents	represent	VERB
concept-1835	29	8	a	a	DET
concept-1835	29	9	natural	natural	ADJ
concept-1835	29	10	join	join	NOUN
concept-1835	29	11	between	between	ADP
concept-1835	29	12	elements	element	NOUN
concept-1835	29	13	of	of	ADP
concept-1835	29	14	two	two	NUM
concept-1835	29	15	matrices	matrix	NOUN
concept-1835	29	16	,	,	PUNCT
concept-1835	29	17	a0	a0	NOUN
concept-1835	29	18	and	and	CCONJ
concept-1835	29	19	a1	a1	NOUN
concept-1835	29	20	.	.	PUNCT
concept-1835	30	1	this	this	DET
concept-1835	30	2	relation	relation	NOUN
concept-1835	30	3	describes	describe	VERB
concept-1835	30	4	how	how	SCONJ
concept-1835	30	5	an	an	DET
concept-1835	30	6	object	object	NOUN
concept-1835	30	7	in	in	ADP
concept-1835	30	8	the	the	DET
concept-1835	30	9	(	(	PUNCT
concept-1835	30	10	i	i	NOUN
concept-1835	30	11	,	,	PUNCT
concept-1835	30	12	j)th	j)th	ADJ
concept-1835	30	13	slot	slot	NOUN
concept-1835	30	14	in	in	ADP
concept-1835	30	15	a	a	DET
concept-1835	30	16	matrix	matrix	NOUN
concept-1835	30	17	a0	a0	NOUN
concept-1835	30	18	∈	∈	PROPN
concept-1835	30	19	ℜ	ℜ	PROPN
concept-1835	30	20	will	will	AUX
concept-1835	30	21	end	end	VERB
concept-1835	30	22	up	up	ADP
concept-1835	30	23	in	in	ADP
concept-1835	30	24	the	the	DET
concept-1835	30	25	(	(	PUNCT
concept-1835	30	26	f(i	f(i	PROPN
concept-1835	30	27	)	)	PUNCT
concept-1835	30	28	,	,	PUNCT
concept-1835	30	29	j	j	PROPN
concept-1835	30	30	+	+	CCONJ
concept-1835	30	31	σ(object))th	σ(object))th	ADJ
concept-1835	30	32	slot	slot	NOUN
concept-1835	30	33	of	of	ADP
concept-1835	30	34	another	another	DET
concept-1835	30	35	matrix	matrix	NOUN
concept-1835	30	36	a1	a1	NOUN
concept-1835	30	37	∈	∈	PROPN
concept-1835	30	38	ℜ	ℜ	PROPN
concept-1835	30	39	during	during	ADP
concept-1835	30	40	one	one	NUM
concept-1835	30	41	time	time	NOUN
concept-1835	30	42	step	step	NOUN
concept-1835	30	43	,	,	PUNCT
concept-1835	30	44	where	where	SCONJ
concept-1835	30	45	𝜎	𝜎	X
concept-1835	30	46	𝑜𝑏𝑗𝑒𝑐𝑡	𝑜𝑏𝑗𝑒𝑐𝑡	NOUN
concept-1835	30	47	=	=	NOUN
concept-1835	30	48	1	1	NUM
concept-1835	30	49	,	,	PUNCT
concept-1835	30	50	                 	                 	SPACE
concept-1835	30	51	with	with	ADP
concept-1835	30	52	 	 	SPACE
concept-1835	30	53	probability	probability	NOUN
concept-1835	30	54	 	 	SPACE
concept-1835	30	55	𝑝	𝑝	NOUN
concept-1835	30	56	  	  	SPACE
concept-1835	30	57	2	2	NUM
concept-1835	30	58	,	,	PUNCT
concept-1835	30	59	                 	                 	SPACE
concept-1835	30	60	with	with	ADP
concept-1835	30	61	 	 	SPACE
concept-1835	30	62	probability	probability	NOUN
concept-1835	30	63	 	 	SPACE
concept-1835	30	64	𝑞	𝑞	PROPN
concept-1835	30	65	3	3	NUM
concept-1835	30	66	,	,	PUNCT
concept-1835	30	67	with	with	ADP
concept-1835	30	68	 	 	SPACE
concept-1835	30	69	probability	probability	VERB
concept-1835	30	70	 	 	SPACE
concept-1835	30	71	𝑟	𝑟	PRON
concept-1835	30	72	𝑝	𝑝	PROPN
concept-1835	30	73	+	+	NUM
concept-1835	30	74	𝑞	𝑞	X
concept-1835	30	75	+	+	NOUN
concept-1835	30	76	𝑟	𝑟	NOUN
concept-1835	30	77	=	=	SYM
concept-1835	30	78	1	1	NUM
concept-1835	30	79	and	and	CCONJ
concept-1835	30	80	𝑓	𝑓	X
concept-1835	30	81	:	:	PUNCT
concept-1835	30	82	𝑖	𝑖	ADP
concept-1835	30	83	↦	↦	PROPN
concept-1835	30	84	{	{	PUNCT
concept-1835	30	85	𝑖	𝑖	PROPN
concept-1835	30	86	,	,	PUNCT
concept-1835	30	87	𝑖	𝑖	PROPN
concept-1835	31	1	+	+	NOUN
concept-1835	32	1	1	1	NUM
concept-1835	32	2	,	,	PUNCT
concept-1835	32	3	𝑖	𝑖	PRON
concept-1835	32	4	−	−	PROPN
concept-1835	32	5	1	1	NUM
concept-1835	32	6	}	}	PUNCT
concept-1835	32	7	  	  	SPACE
concept-1835	32	8	mesoscopic	mesoscopic	NOUN
concept-1835	32	9	models	model	NOUN
concept-1835	32	10	another	another	DET
concept-1835	32	11	category	category	NOUN
concept-1835	32	12	of	of	ADP
concept-1835	32	13	traffic	traffic	NOUN
concept-1835	32	14	models	model	NOUN
concept-1835	32	15	,	,	PUNCT
concept-1835	32	16	called	call	VERB
concept-1835	32	17	mesoscopic	mesoscopic	NOUN
concept-1835	32	18	or	or	CCONJ
concept-1835	32	19	kinetic	kinetic	ADJ
concept-1835	32	20	traffic	traffic	NOUN
concept-1835	32	21	models	model	NOUN
concept-1835	32	22	,	,	PUNCT
concept-1835	32	23	examines	examine	VERB
concept-1835	32	24	vehicular	vehicular	ADJ
concept-1835	32	25	movements	movement	NOUN
concept-1835	32	26	as	as	ADP
concept-1835	32	27	parts	part	NOUN
concept-1835	32	28	of	of	ADP
concept-1835	32	29	a	a	DET
concept-1835	32	30	larger	large	ADJ
concept-1835	32	31	scale	scale	NOUN
concept-1835	32	32	mechanism	mechanism	NOUN
concept-1835	32	33	.	.	PUNCT
concept-1835	33	1	headway	headway	NOUN
concept-1835	33	2	distribution	distribution	NOUN
concept-1835	33	3	models	model	NOUN
concept-1835	33	4	focus	focus	VERB
concept-1835	33	5	on	on	ADP
concept-1835	33	6	how	how	SCONJ
concept-1835	33	7	much	much	ADJ
concept-1835	33	8	time	time	NOUN
concept-1835	33	9	passes	pass	VERB
concept-1835	33	10	between	between	ADP
concept-1835	33	11	two	two	NUM
concept-1835	33	12	successive	successive	ADJ
concept-1835	33	13	vehicles	vehicle	NOUN
concept-1835	33	14	.	.	PUNCT
concept-1835	34	1	the	the	DET
concept-1835	34	2	time	time	NOUN
concept-1835	34	3	between	between	ADP
concept-1835	34	4	vehicles	vehicle	NOUN
concept-1835	34	5	(	(	PUNCT
concept-1835	34	6	headway	headway	NOUN
concept-1835	34	7	)	)	PUNCT
concept-1835	34	8	is	be	AUX
concept-1835	34	9	described	describe	VERB
concept-1835	34	10	by	by	ADP
concept-1835	34	11	a	a	DET
concept-1835	34	12	random	random	ADJ
concept-1835	34	13	variable	variable	NOUN
concept-1835	34	14	with	with	ADP
concept-1835	34	15	either	either	CCONJ
concept-1835	34	16	a	a	DET
concept-1835	34	17	single	single	ADJ
concept-1835	34	18	distribution	distribution	NOUN
concept-1835	34	19	or	or	CCONJ
concept-1835	34	20	mix	mix	NOUN
concept-1835	34	21	of	of	ADP
concept-1835	34	22	different	different	ADJ
concept-1835	34	23	distributions	distribution	NOUN
concept-1835	34	24	.	.	PUNCT
concept-1835	35	1	some	some	PRON
concept-1835	35	2	of	of	ADP
concept-1835	35	3	these	these	DET
concept-1835	35	4	distributions	distribution	NOUN
concept-1835	35	5	are	be	AUX
concept-1835	35	6	normal	normal	ADJ
concept-1835	35	7	,	,	PUNCT
concept-1835	35	8	gamma	gamma	NOUN
concept-1835	35	9	,	,	PUNCT
concept-1835	35	10	and	and	CCONJ
concept-1835	35	11	exponential	exponential	ADJ
concept-1835	35	12	(	(	PUNCT
concept-1835	35	13	zhang	zhang	PROPN
concept-1835	35	14	,	,	PUNCT
concept-1835	35	15	wang	wang	PROPN
concept-1835	35	16	,	,	PUNCT
concept-1835	35	17	wei	wei	PROPN
concept-1835	35	18	,	,	PUNCT
concept-1835	35	19	&	&	CCONJ
concept-1835	35	20	chen	chen	PROPN
concept-1835	35	21	,	,	PUNCT
concept-1835	35	22	2007	2007	NUM
concept-1835	35	23	)	)	PUNCT
concept-1835	35	24	.	.	PUNCT
concept-1835	36	1	cluster	cluster	NOUN
concept-1835	36	2	models	model	NOUN
concept-1835	36	3	are	be	AUX
concept-1835	36	4	characterized	characterize	VERB
concept-1835	36	5	by	by	ADP
concept-1835	36	6	groups	group	NOUN
concept-1835	36	7	of	of	ADP
concept-1835	36	8	vehicles	vehicle	NOUN
concept-1835	36	9	that	that	PRON
concept-1835	36	10	all	all	PRON
concept-1835	36	11	exhibit	exhibit	VERB
concept-1835	36	12	the	the	DET
concept-1835	36	13	same	same	ADJ
concept-1835	36	14	property	property	NOUN
concept-1835	36	15	,	,	PUNCT
concept-1835	36	16	such	such	ADJ
concept-1835	36	17	as	as	ADP
concept-1835	36	18	velocity	velocity	NOUN
concept-1835	36	19	.	.	PUNCT
concept-1835	37	1	this	this	DET
concept-1835	37	2	clustering	clustering	ADJ
concept-1835	37	3	effect	effect	NOUN
concept-1835	37	4	may	may	AUX
concept-1835	37	5	be	be	AUX
concept-1835	37	6	due	due	ADJ
concept-1835	37	7	to	to	ADP
concept-1835	37	8	how	how	SCONJ
concept-1835	37	9	a	a	DET
concept-1835	37	10	roadway	roadway	NOUN
concept-1835	37	11	narrows	narrow	VERB
concept-1835	37	12	to	to	ADP
concept-1835	37	13	fewer	few	ADJ
concept-1835	37	14	lanes	lane	NOUN
concept-1835	37	15	or	or	CCONJ
concept-1835	37	16	other	other	ADJ
concept-1835	37	17	factors	factor	NOUN
concept-1835	37	18	such	such	ADJ
concept-1835	37	19	as	as	ADP
concept-1835	37	20	weather	weather	NOUN
concept-1835	37	21	.	.	PUNCT
concept-1835	38	1	the	the	DET
concept-1835	38	2	size	size	NOUN
concept-1835	38	3	of	of	ADP
concept-1835	38	4	each	each	DET
concept-1835	38	5	cluster	cluster	NOUN
concept-1835	38	6	,	,	PUNCT
concept-1835	38	7	which	which	PRON
concept-1835	38	8	determines	determine	VERB
concept-1835	38	9	how	how	SCONJ
concept-1835	38	10	vehicles	vehicle	NOUN
concept-1835	38	11	will	will	AUX
concept-1835	38	12	flow	flow	VERB
concept-1835	38	13	on	on	ADP
concept-1835	38	14	a	a	DET
concept-1835	38	15	highway	highway	NOUN
concept-1835	38	16	,	,	PUNCT
concept-1835	38	17	is	be	AUX
concept-1835	38	18	dynamic	dynamic	ADJ
concept-1835	38	19	and	and	CCONJ
concept-1835	38	20	can	can	AUX
concept-1835	38	21	grow	grow	VERB
concept-1835	38	22	or	or	CCONJ
concept-1835	38	23	diminish	diminish	VERB
concept-1835	38	24	over	over	ADP
concept-1835	38	25	time	time	NOUN
concept-1835	38	26	(	(	PUNCT
concept-1835	38	27	hoogendoorn	hoogendoorn	ADJ
concept-1835	38	28	&	&	CCONJ
concept-1835	38	29	bovy	bovy	NOUN
concept-1835	38	30	,	,	PUNCT
concept-1835	38	31	2001	2001	NUM
concept-1835	38	32	)	)	PUNCT
concept-1835	38	33	.	.	PUNCT
concept-1835	39	1	the	the	DET
concept-1835	39	2	gas	gas	NOUN
concept-1835	39	3	-	-	PUNCT
concept-1835	39	4	kinetic	kinetic	NOUN
concept-1835	39	5	model	model	NOUN
concept-1835	39	6	of	of	ADP
concept-1835	39	7	traffic	traffic	NOUN
concept-1835	39	8	flow	flow	NOUN
concept-1835	39	9	comes	come	VERB
concept-1835	39	10	from	from	ADP
concept-1835	39	11	statistical	statistical	ADJ
concept-1835	39	12	mechanics	mechanic	NOUN
concept-1835	39	13	and	and	CCONJ
concept-1835	39	14	models	model	NOUN
concept-1835	39	15	vehicles	vehicle	NOUN
concept-1835	39	16	as	as	ADP
concept-1835	39	17	particles	particle	NOUN
concept-1835	39	18	in	in	ADP
concept-1835	39	19	a	a	DET
concept-1835	39	20	traffic	traffic	NOUN
concept-1835	39	21	flow	flow	NOUN
concept-1835	39	22	.	.	PUNCT
concept-1835	40	1	prigogine	prigogine	NOUN
concept-1835	40	2	and	and	CCONJ
concept-1835	40	3	andrews	andrews	PROPN
concept-1835	40	4	developed	develop	VERB
concept-1835	40	5	this	this	DET
concept-1835	40	6	model	model	NOUN
concept-1835	40	7	based	base	VERB
concept-1835	40	8	on	on	ADP
concept-1835	40	9	the	the	DET
concept-1835	40	10	boltzmann	boltzmann	PROPN
concept-1835	40	11	-	-	PUNCT
concept-1835	40	12	maxwell	maxwell	PROPN
concept-1835	40	13	equation	equation	NOUN
concept-1835	40	14	that	that	PRON
concept-1835	40	15	models	model	VERB
concept-1835	40	16	the	the	DET
concept-1835	40	17	velocity	velocity	NOUN
concept-1835	40	18	of	of	ADP
concept-1835	40	19	ideal	ideal	ADJ
concept-1835	40	20	gas	gas	NOUN
concept-1835	40	21	particles	particle	NOUN
concept-1835	40	22	.	.	PUNCT
concept-1835	41	1	the	the	DET
concept-1835	41	2	distribution	distribution	NOUN
concept-1835	41	3	of	of	ADP
concept-1835	41	4	velocities	velocity	NOUN
concept-1835	41	5	f(x	f(x	PROPN
concept-1835	41	6	,	,	PUNCT
concept-1835	41	7	v	v	PROPN
concept-1835	41	8	,	,	PUNCT
concept-1835	41	9	t	t	PROPN
concept-1835	41	10	)	)	PUNCT
concept-1835	41	11	,	,	PUNCT
concept-1835	41	12	where	where	SCONJ
concept-1835	41	13	x	x	PRON
concept-1835	41	14	is	be	AUX
concept-1835	41	15	position	position	NOUN
concept-1835	41	16	on	on	ADP
concept-1835	41	17	road	road	NOUN
concept-1835	41	18	,	,	PUNCT
concept-1835	41	19	v	v	NOUN
concept-1835	41	20	is	be	AUX
concept-1835	41	21	velocity	velocity	NOUN
concept-1835	41	22	,	,	PUNCT
concept-1835	41	23	and	and	CCONJ
concept-1835	41	24	t	t	PROPN
concept-1835	41	25	is	be	AUX
concept-1835	41	26	time	time	NOUN
concept-1835	41	27	(	(	PUNCT
concept-1835	41	28	prigogine	prigogine	NOUN
concept-1835	41	29	&	&	CCONJ
concept-1835	41	30	andrews	andrews	PROPN
concept-1835	41	31	,	,	PUNCT
concept-1835	41	32	1960	1960	NUM
concept-1835	41	33	)	)	PUNCT
concept-1835	41	34	.	.	PUNCT
concept-1835	42	1	this	this	DET
concept-1835	42	2	distribution	distribution	NOUN
concept-1835	42	3	function	function	NOUN
concept-1835	42	4	is	be	AUX
concept-1835	42	5	described	describe	VERB
concept-1835	42	6	as	as	ADP
concept-1835	42	7	:	:	PUNCT
concept-1835	42	8	𝜕𝑓	𝜕𝑓	PROPN
concept-1835	42	9	𝜕𝑡	𝜕𝑡	NOUN
concept-1835	42	10	+	+	ADP
concept-1835	42	11	𝑣	𝑣	DET
concept-1835	42	12	𝜕𝑓	𝜕𝑓	ADJ
concept-1835	42	13	𝜕𝑥	𝜕𝑥	NOUN
concept-1835	42	14	=	=	SYM
concept-1835	42	15	𝜕𝑓	𝜕𝑓	PROPN
concept-1835	42	16	𝜕𝑡	𝜕𝑡	NOUN
concept-1835	42	17	!	!	PUNCT
concept-1835	43	1	"	"	PUNCT
concept-1835	43	2	#	#	NOUN
concept-1835	43	3	+	+	CCONJ
concept-1835	43	4	𝜕𝑓	𝜕𝑓	PROPN
concept-1835	43	5	𝜕𝑡	𝜕𝑡	NOUN
concept-1835	43	6	!	!	PUNCT
concept-1835	43	7	"	"	PUNCT
concept-1835	44	1	#	#	SYM
concept-1835	44	2	#	#	NOUN
concept-1835	44	3	where	where	SCONJ
concept-1835	44	4	df	df	NOUN
concept-1835	44	5	/	/	SYM
concept-1835	44	6	dtrel	dtrel	NOUN
concept-1835	44	7	is	be	AUX
concept-1835	44	8	the	the	DET
concept-1835	44	9	relaxation	relaxation	NOUN
concept-1835	44	10	term	term	NOUN
concept-1835	44	11	(	(	PUNCT
concept-1835	44	12	reflected	reflect	VERB
concept-1835	44	13	by	by	ADP
concept-1835	44	14	a	a	DET
concept-1835	44	15	desire	desire	NOUN
concept-1835	44	16	to	to	PART
concept-1835	44	17	return	return	VERB
concept-1835	44	18	to	to	ADP
concept-1835	44	19	the	the	DET
concept-1835	44	20	ideal	ideal	ADJ
concept-1835	44	21	distribution	distribution	NOUN
concept-1835	44	22	)	)	PUNCT
concept-1835	44	23	and	and	CCONJ
concept-1835	44	24	df	df	PROPN
concept-1835	44	25	/	/	SYM
concept-1835	44	26	dtcoll	dtcoll	NOUN
concept-1835	44	27	is	be	AUX
concept-1835	44	28	the	the	DET
concept-1835	44	29	‘	'	PUNCT
concept-1835	44	30	collision	collision	NOUN
concept-1835	44	31	’	'	PUNCT
concept-1835	44	32	term	term	NOUN
concept-1835	44	33	,	,	PUNCT
concept-1835	44	34	which	which	PRON
concept-1835	44	35	in	in	ADP
concept-1835	44	36	this	this	DET
concept-1835	44	37	case	case	NOUN
concept-1835	44	38	refers	refer	VERB
concept-1835	44	39	to	to	ADP
concept-1835	44	40	the	the	DET
concept-1835	44	41	interaction	interaction	NOUN
concept-1835	44	42	between	between	ADP
concept-1835	44	43	vehicles	vehicle	NOUN
concept-1835	44	44	ahead	ahead	ADV
concept-1835	44	45	slowing	slow	VERB
concept-1835	44	46	down	down	ADP
concept-1835	44	47	the	the	DET
concept-1835	44	48	ones	one	NOUN
concept-1835	44	49	behind	behind	ADV
concept-1835	44	50	.	.	PUNCT
concept-1835	45	1	macroscopic	macroscopic	ADJ
concept-1835	45	2	models	model	NOUN
concept-1835	45	3	macroscopic	macroscopic	ADJ
concept-1835	45	4	models	model	NOUN
concept-1835	45	5	describe	describe	VERB
concept-1835	45	6	averaged	average	VERB
concept-1835	45	7	quantities	quantity	NOUN
concept-1835	45	8	in	in	ADP
concept-1835	45	9	traffic	traffic	NOUN
concept-1835	45	10	such	such	ADJ
concept-1835	45	11	as	as	ADP
concept-1835	45	12	density	density	NOUN
concept-1835	45	13	,	,	PUNCT
concept-1835	45	14	average	average	ADJ
concept-1835	45	15	velocity	velocity	NOUN
concept-1835	45	16	,	,	PUNCT
concept-1835	45	17	and	and	CCONJ
concept-1835	45	18	velocity	velocity	NOUN
concept-1835	45	19	variance	variance	NOUN
concept-1835	45	20	.	.	PUNCT
concept-1835	46	1	individual	individual	ADJ
concept-1835	46	2	vehicles	vehicle	NOUN
concept-1835	46	3	are	be	AUX
concept-1835	46	4	not	not	PART
concept-1835	46	5	considered	consider	VERB
concept-1835	46	6	,	,	PUNCT
concept-1835	46	7	but	but	CCONJ
concept-1835	46	8	rather	rather	ADV
concept-1835	46	9	their	their	PRON
concept-1835	46	10	aggregate	aggregate	ADJ
concept-1835	46	11	behavior	behavior	NOUN
concept-1835	46	12	is	be	AUX
concept-1835	46	13	examined	examine	VERB
concept-1835	46	14	in	in	ADP
concept-1835	46	15	order	order	NOUN
concept-1835	46	16	to	to	PART
concept-1835	46	17	understand	understand	VERB
concept-1835	46	18	the	the	DET
concept-1835	46	19	overall	overall	ADJ
concept-1835	46	20	traffic	traffic	NOUN
concept-1835	46	21	flow	flow	NOUN
concept-1835	46	22	on	on	ADP
concept-1835	46	23	a	a	DET
concept-1835	46	24	roadway	roadway	NOUN
concept-1835	46	25	.	.	PUNCT
concept-1835	47	1	lighthill	lighthill	NOUN
concept-1835	47	2	and	and	CCONJ
concept-1835	47	3	whitham	whitham	PROPN
concept-1835	47	4	developed	develop	VERB
concept-1835	47	5	a	a	DET
concept-1835	47	6	theory	theory	NOUN
concept-1835	47	7	that	that	SCONJ
concept-1835	47	8	at	at	ADP
concept-1835	47	9	any	any	DET
concept-1835	47	10	point	point	NOUN
concept-1835	47	11	of	of	ADP
concept-1835	47	12	the	the	DET
concept-1835	47	13	road	road	NOUN
concept-1835	47	14	the	the	DET
concept-1835	47	15	flow	flow	NOUN
concept-1835	47	16	q	q	NOUN
concept-1835	47	17	(	(	PUNCT
concept-1835	47	18	vehicles	vehicle	NOUN
concept-1835	47	19	per	per	ADP
concept-1835	47	20	hour	hour	NOUN
concept-1835	47	21	)	)	PUNCT
concept-1835	47	22	is	be	AUX
concept-1835	47	23	a	a	DET
concept-1835	47	24	function	function	NOUN
concept-1835	47	25	of	of	ADP
concept-1835	47	26	the	the	DET
concept-1835	47	27	concentration	concentration	NOUN
concept-1835	47	28	k	k	PROPN
concept-1835	47	29	(	(	PUNCT
concept-1835	47	30	vehicles	vehicle	NOUN
concept-1835	47	31	per	per	ADP
concept-1835	47	32	mile	mile	NOUN
concept-1835	47	33	)	)	PUNCT
concept-1835	47	34	,	,	PUNCT
concept-1835	47	35	and	and	CCONJ
concept-1835	47	36	that	that	SCONJ
concept-1835	47	37	the	the	DET
concept-1835	47	38	quantity	quantity	NOUN
concept-1835	47	39	in	in	ADP
concept-1835	47	40	a	a	DET
concept-1835	47	41	small	small	ADJ
concept-1835	47	42	element	element	NOUN
concept-1835	47	43	of	of	ADP
concept-1835	47	44	length	length	NOUN
concept-1835	47	45	(	(	PUNCT
concept-1835	47	46	dk	dk	NOUN
concept-1835	47	47	)	)	PUNCT
concept-1835	47	48	changes	change	NOUN
concept-1835	47	49	at	at	ADP
concept-1835	47	50	a	a	DET
concept-1835	47	51	rate	rate	NOUN
concept-1835	47	52	equal	equal	ADJ
concept-1835	47	53	to	to	ADP
concept-1835	47	54	the	the	DET
concept-1835	47	55	difference	difference	NOUN
concept-1835	47	56	between	between	ADP
concept-1835	47	57	inflow	inflow	NOUN
concept-1835	47	58	and	and	CCONJ
concept-1835	47	59	outflow	outflow	NOUN
concept-1835	47	60	(	(	PUNCT
concept-1835	47	61	dq	dq	NOUN
concept-1835	47	62	)	)	PUNCT
concept-1835	47	63	(	(	PUNCT
concept-1835	47	64	lighthill	lighthill	PROPN
concept-1835	47	65	&	&	CCONJ
concept-1835	47	66	whitham	whitham	PROPN
concept-1835	47	67	,	,	PUNCT
concept-1835	47	68	1955	1955	NUM
concept-1835	47	69	):	):	PUNCT
concept-1835	48	1	𝜕𝑘	𝜕𝑘	ADP
concept-1835	48	2	𝜕𝑡	𝜕𝑡	PROPN
concept-1835	48	3	+	+	CCONJ
concept-1835	48	4	𝜕𝑞	𝜕𝑞	ADJ
concept-1835	48	5	𝜕𝑥	𝜕𝑥	NOUN
concept-1835	48	6	=	=	SYM
concept-1835	48	7	0	0	NUM
concept-1835	48	8	  	  	SPACE
concept-1835	48	9	this	this	DET
concept-1835	48	10	partial	partial	ADJ
concept-1835	48	11	differential	differential	NOUN
concept-1835	48	12	equation	equation	NOUN
concept-1835	48	13	describes	describe	VERB
concept-1835	48	14	a	a	DET
concept-1835	48	15	phenomenon	phenomenon	NOUN
concept-1835	48	16	from	from	ADP
concept-1835	48	17	physics	physics	NOUN
concept-1835	48	18	called	call	VERB
concept-1835	48	19	a	a	DET
concept-1835	48	20	kinematic	kinematic	ADJ
concept-1835	48	21	wave	wave	NOUN
concept-1835	48	22	.	.	PUNCT
concept-1835	49	1	the	the	DET
concept-1835	49	2	dynamics	dynamic	NOUN
concept-1835	49	3	of	of	ADP
concept-1835	49	4	these	these	DET
concept-1835	49	5	waves	wave	NOUN
concept-1835	49	6	describe	describe	VERB
concept-1835	49	7	how	how	SCONJ
concept-1835	49	8	traffic	traffic	NOUN
concept-1835	49	9	jams	jam	NOUN
concept-1835	49	10	can	can	AUX
concept-1835	49	11	occur	occur	VERB
concept-1835	49	12	at	at	ADP
concept-1835	49	13	one	one	NUM
concept-1835	49	14	point	point	NOUN
concept-1835	49	15	on	on	ADP
concept-1835	49	16	a	a	DET
concept-1835	49	17	road	road	NOUN
concept-1835	49	18	and	and	CCONJ
concept-1835	49	19	travel	travel	NOUN
concept-1835	49	20	backwards	backwards	ADV
concept-1835	49	21	through	through	ADP
concept-1835	49	22	the	the	DET
concept-1835	49	23	traffic	traffic	NOUN
concept-1835	49	24	flow	flow	NOUN
concept-1835	49	25	.	.	PUNCT
concept-1835	50	1	a	a	DET
concept-1835	50	2	model	model	NOUN
concept-1835	50	3	built	build	VERB
concept-1835	50	4	upon	upon	SCONJ
concept-1835	50	5	the	the	DET
concept-1835	50	6	lighthill	lighthill	NOUN
concept-1835	50	7	/	/	SYM
concept-1835	50	8	whitham	whitham	PROPN
concept-1835	50	9	model	model	NOUN
concept-1835	50	10	that	that	PRON
concept-1835	50	11	uses	use	VERB
concept-1835	50	12	a	a	DET
concept-1835	50	13	system	system	NOUN
concept-1835	50	14	of	of	ADP
concept-1835	50	15	partial	partial	ADJ
concept-1835	50	16	differential	differential	ADJ
concept-1835	50	17	equations	equation	NOUN
concept-1835	50	18	was	be	AUX
concept-1835	50	19	proposed	propose	VERB
concept-1835	50	20	by	by	ADP
concept-1835	50	21	harold	harold	PROPN
concept-1835	50	22	j.	j.	PROPN
concept-1835	50	23	payne	payne	PROPN
concept-1835	50	24	and	and	CCONJ
concept-1835	50	25	includes	include	VERB
concept-1835	50	26	a	a	DET
concept-1835	50	27	convection	convection	NOUN
concept-1835	50	28	,	,	PUNCT
concept-1835	50	29	relaxation	relaxation	NOUN
concept-1835	50	30	,	,	PUNCT
concept-1835	50	31	and	and	CCONJ
concept-1835	50	32	anticipation	anticipation	NOUN
concept-1835	50	33	term	term	NOUN
concept-1835	50	34	in	in	ADP
concept-1835	50	35	the	the	DET
concept-1835	50	36	system	system	NOUN
concept-1835	50	37	(	(	PUNCT
concept-1835	50	38	hoogendoorn	hoogendoorn	ADJ
concept-1835	50	39	&	&	CCONJ
concept-1835	50	40	bovy	bovy	NOUN
concept-1835	50	41	,	,	PUNCT
concept-1835	50	42	2001	2001	NUM
concept-1835	50	43	):	):	PUNCT
concept-1835	50	44	𝑉	𝑉	PROPN
concept-1835	50	45	𝑥	𝑥	PROPN
concept-1835	50	46	𝑡	𝑡	PROPN
concept-1835	50	47	+	+	X
concept-1835	50	48	𝑇	𝑇	PROPN
concept-1835	50	49	,	,	PUNCT
concept-1835	50	50	𝑡	𝑡	PROPN
concept-1835	50	51	+	+	PROPN
concept-1835	50	52	𝑇	𝑇	PROPN
concept-1835	50	53	=	=	SYM
concept-1835	50	54	𝑉!(𝑟	𝑉!(𝑟	PROPN
concept-1835	50	55	𝑥	𝑥	NOUN
concept-1835	50	56	+	+	CCONJ
concept-1835	50	57	𝐷	𝐷	PROPN
concept-1835	50	58	,	,	PUNCT
concept-1835	50	59	𝑡	𝑡	PROPN
concept-1835	50	60	)	)	PUNCT
concept-1835	50	61	,	,	PUNCT
concept-1835	50	62	where	where	SCONJ
concept-1835	50	63	x(t	x(t	PROPN
concept-1835	50	64	)	)	PUNCT
concept-1835	50	65	is	be	AUX
concept-1835	50	66	the	the	DET
concept-1835	50	67	location	location	NOUN
concept-1835	50	68	of	of	ADP
concept-1835	50	69	the	the	DET
concept-1835	50	70	vehicle	vehicle	NOUN
concept-1835	50	71	at	at	ADP
concept-1835	50	72	time	time	NOUN
concept-1835	50	73	t	t	PROPN
concept-1835	50	74	,	,	PUNCT
concept-1835	50	75	v(x	v(x	PROPN
concept-1835	50	76	,	,	PUNCT
concept-1835	50	77	t	t	PROPN
concept-1835	50	78	)	)	PUNCT
concept-1835	50	79	is	be	AUX
concept-1835	50	80	velocity	velocity	NOUN
concept-1835	50	81	at	at	ADP
concept-1835	50	82	x	x	PROPN
concept-1835	50	83	and	and	CCONJ
concept-1835	50	84	t	t	PROPN
concept-1835	50	85	,	,	PUNCT
concept-1835	50	86	ve	ve	AUX
concept-1835	50	87	is	be	AUX
concept-1835	50	88	the	the	DET
concept-1835	50	89	equilibrium	equilibrium	NOUN
concept-1835	50	90	velocity	velocity	NOUN
concept-1835	50	91	,	,	PUNCT
concept-1835	50	92	r(x	r(x	PROPN
concept-1835	50	93	,	,	PUNCT
concept-1835	50	94	t	t	PROPN
concept-1835	50	95	)	)	PUNCT
concept-1835	50	96	is	be	AUX
concept-1835	50	97	the	the	DET
concept-1835	50	98	density	density	NOUN
concept-1835	50	99	,	,	PUNCT
concept-1835	50	100	t	t	PROPN
concept-1835	50	101	is	be	AUX
concept-1835	50	102	reaction	reaction	NOUN
concept-1835	50	103	time	time	NOUN
concept-1835	50	104	and	and	CCONJ
concept-1835	50	105	d	d	NOUN
concept-1835	50	106	is	be	AUX
concept-1835	50	107	grossdistance	grossdistance	NOUN
concept-1835	50	108	headway	headway	NOUN
concept-1835	50	109	with	with	ADP
concept-1835	50	110	respect	respect	NOUN
concept-1835	50	111	to	to	ADP
concept-1835	50	112	the	the	DET
concept-1835	50	113	preceding	precede	VERB
concept-1835	50	114	vehicle	vehicle	NOUN
concept-1835	50	115	.	.	PUNCT
concept-1835	51	1	the	the	DET
concept-1835	51	2	equation	equation	NOUN
concept-1835	51	3	describes	describe	VERB
concept-1835	51	4	how	how	SCONJ
concept-1835	51	5	drivers	driver	NOUN
concept-1835	51	6	will	will	AUX
concept-1835	51	7	adjust	adjust	VERB
concept-1835	51	8	their	their	PRON
concept-1835	51	9	velocity	velocity	NOUN
concept-1835	51	10	to	to	ADP
concept-1835	51	11	an	an	DET
concept-1835	51	12	equilibrium	equilibrium	NOUN
concept-1835	51	13	velocity	velocity	NOUN
concept-1835	51	14	,	,	PUNCT
concept-1835	51	15	which	which	PRON
concept-1835	51	16	is	be	AUX
concept-1835	51	17	affected	affect	VERB
concept-1835	51	18	by	by	ADP
concept-1835	51	19	the	the	DET
concept-1835	51	20	traffic	traffic	NOUN
concept-1835	51	21	density	density	NOUN
concept-1835	51	22	.	.	PUNCT
concept-1835	52	1	the	the	DET
concept-1835	52	2	left	left	ADJ
concept-1835	52	3	and	and	CCONJ
concept-1835	52	4	right	right	ADJ
concept-1835	52	5	sides	side	NOUN
concept-1835	52	6	of	of	ADP
concept-1835	52	7	this	this	DET
concept-1835	52	8	equation	equation	NOUN
concept-1835	52	9	can	can	AUX
concept-1835	52	10	be	be	AUX
concept-1835	52	11	expanded	expand	VERB
concept-1835	52	12	and	and	CCONJ
concept-1835	52	13	combined	combine	VERB
concept-1835	52	14	to	to	PART
concept-1835	52	15	form	form	VERB
concept-1835	52	16	a	a	DET
concept-1835	52	17	single	single	ADJ
concept-1835	52	18	equation	equation	NOUN
concept-1835	52	19	:	:	PUNCT
concept-1835	52	20	𝜕!𝑉	𝜕!𝑉	ADP
concept-1835	52	21	+	+	CCONJ
concept-1835	52	22	𝑉𝜕!𝑉	𝑉𝜕!𝑉	X
concept-1835	52	23	=	=	SYM
concept-1835	52	24	𝑉	𝑉	PROPN
concept-1835	52	25	!	!	PUNCT
concept-1835	53	1	𝑟	𝑟	X
concept-1835	53	2	−	−	PROPN
concept-1835	53	3	𝑉	𝑉	PROPN
concept-1835	53	4	𝑇	𝑇	PROPN
concept-1835	53	5	−	−	PROPN
concept-1835	53	6	𝑐	𝑐	NOUN
concept-1835	53	7	!	!	PUNCT
concept-1835	53	8	!	!	PUNCT
concept-1835	54	1	𝑟	𝑟	X
concept-1835	54	2	𝜕!𝑟	𝜕!𝑟	ADP
concept-1835	54	3	,	,	PUNCT
concept-1835	54	4	where	where	SCONJ
concept-1835	54	5	c0	c0	PROPN
concept-1835	54	6	2	2	NUM
concept-1835	54	7	=	=	SYM
concept-1835	54	8	ξ	ξ	X
concept-1835	54	9	/	/	SYM
concept-1835	54	10	t	t	X
concept-1835	54	11	>	>	X
concept-1835	54	12	0	0	NUM
concept-1835	54	13	is	be	AUX
concept-1835	54	14	the	the	DET
concept-1835	54	15	anticipation	anticipation	NOUN
concept-1835	54	16	constant	constant	ADJ
concept-1835	54	17	,	,	PUNCT
concept-1835	54	18	and	and	CCONJ
concept-1835	54	19	ξ	ξ	X
concept-1835	54	20	=	=	SYM
concept-1835	54	21	-dve	-dve	NUM
concept-1835	54	22	/	/	SYM
concept-1835	54	23	dr	dr	PROPN
concept-1835	54	24	is	be	AUX
concept-1835	54	25	the	the	DET
concept-1835	54	26	decrease	decrease	NOUN
concept-1835	54	27	in	in	ADP
concept-1835	54	28	the	the	DET
concept-1835	54	29	equilibrium	equilibrium	NOUN
concept-1835	54	30	velocity	velocity	NOUN
concept-1835	54	31	with	with	ADP
concept-1835	54	32	increasing	increase	VERB
concept-1835	54	33	density	density	NOUN
concept-1835	54	34	.	.	PUNCT
concept-1835	55	1	other	other	ADJ
concept-1835	55	2	single	single	ADJ
concept-1835	55	3	and	and	CCONJ
concept-1835	55	4	multi	multi	ADJ
concept-1835	55	5	-	-	ADJ
concept-1835	55	6	equation	equation	NOUN
concept-1835	55	7	models	model	NOUN
concept-1835	55	8	exist	exist	VERB
concept-1835	55	9	that	that	PRON
concept-1835	55	10	extend	extend	VERB
concept-1835	55	11	the	the	DET
concept-1835	55	12	lighthill	lighthill	NOUN
concept-1835	55	13	/	/	SYM
concept-1835	55	14	whitham	whitham	PROPN
concept-1835	55	15	and	and	CCONJ
concept-1835	55	16	payne	payne	PROPN
concept-1835	55	17	models	model	NOUN
concept-1835	55	18	to	to	ADP
concept-1835	55	19	particular	particular	ADJ
concept-1835	55	20	situations	situation	NOUN
concept-1835	55	21	(	(	PUNCT
concept-1835	55	22	hoogendoorn	hoogendoorn	ADJ
concept-1835	55	23	&	&	CCONJ
concept-1835	55	24	bovy	bovy	NOUN
concept-1835	55	25	,	,	PUNCT
concept-1835	55	26	2001	2001	NUM
concept-1835	55	27	)	)	PUNCT
concept-1835	55	28	.	.	PUNCT
concept-1835	56	1	two	two	NUM
concept-1835	56	2	methods	method	NOUN
concept-1835	56	3	for	for	ADP
concept-1835	56	4	describing	describe	VERB
concept-1835	56	5	traffic	traffic	NOUN
concept-1835	56	6	flow	flow	NOUN
concept-1835	56	7	outlined	outline	VERB
concept-1835	56	8	by	by	ADP
concept-1835	56	9	sasaki	sasaki	PROPN
concept-1835	56	10	and	and	CCONJ
concept-1835	56	11	myojin	myojin	NOUN
concept-1835	56	12	involve	involve	VERB
concept-1835	56	13	the	the	DET
concept-1835	56	14	use	use	NOUN
concept-1835	56	15	of	of	ADP
concept-1835	56	16	markov	markov	NOUN
concept-1835	56	17	chains	chain	NOUN
concept-1835	56	18	(	(	PUNCT
concept-1835	56	19	sasaki	sasaki	PROPN
concept-1835	56	20	&	&	CCONJ
concept-1835	56	21	myojin	myojin	PROPN
concept-1835	56	22	,	,	PUNCT
concept-1835	56	23	1968	1968	NUM
concept-1835	56	24	)	)	PUNCT
concept-1835	56	25	.	.	PUNCT
concept-1835	57	1	the	the	DET
concept-1835	57	2	first	first	ADJ
concept-1835	57	3	is	be	AUX
concept-1835	57	4	the	the	DET
concept-1835	57	5	branching	branch	VERB
concept-1835	57	6	probability	probability	NOUN
concept-1835	57	7	matrix	matrix	NOUN
concept-1835	57	8	method	method	NOUN
concept-1835	57	9	,	,	PUNCT
concept-1835	57	10	in	in	ADP
concept-1835	57	11	which	which	PRON
concept-1835	57	12	the	the	DET
concept-1835	57	13	highway	highway	NOUN
concept-1835	57	14	is	be	AUX
concept-1835	57	15	divided	divide	VERB
concept-1835	57	16	into	into	ADP
concept-1835	57	17	m	m	PROPN
concept-1835	57	18	sections	section	NOUN
concept-1835	57	19	.	.	PUNCT
concept-1835	58	1	a	a	DET
concept-1835	58	2	volume	volume	NOUN
concept-1835	58	3	of	of	ADP
concept-1835	58	4	traffic	traffic	NOUN
concept-1835	58	5	over	over	ADP
concept-1835	58	6	each	each	DET
concept-1835	58	7	section	section	NOUN
concept-1835	58	8	of	of	ADP
concept-1835	58	9	highway	highway	NOUN
concept-1835	58	10	is	be	AUX
concept-1835	58	11	denoted	denote	VERB
concept-1835	58	12	xi	xi	ADP
concept-1835	58	13	,	,	PUNCT
concept-1835	58	14	and	and	CCONJ
concept-1835	58	15	a	a	DET
concept-1835	58	16	row	row	NOUN
concept-1835	58	17	vector	vector	NOUN
concept-1835	58	18	of	of	ADP
concept-1835	58	19	volumes	volume	NOUN
concept-1835	58	20	can	can	AUX
concept-1835	58	21	be	be	AUX
concept-1835	58	22	constructed	construct	VERB
concept-1835	58	23	x	x	X
concept-1835	58	24	=	=	SYM
concept-1835	58	25	(	(	PUNCT
concept-1835	58	26	x1	x1	PROPN
concept-1835	58	27	,	,	PUNCT
concept-1835	58	28	x2	x2	PROPN
concept-1835	58	29	,	,	PUNCT
concept-1835	58	30	…	…	PUNCT
concept-1835	58	31	,	,	PUNCT
concept-1835	58	32	xm	xm	PROPN
concept-1835	58	33	)	)	PUNCT
concept-1835	58	34	.	.	PUNCT
concept-1835	59	1	inflows	inflow	NOUN
concept-1835	59	2	and	and	CCONJ
concept-1835	59	3	outflows	outflow	NOUN
concept-1835	59	4	are	be	AUX
concept-1835	59	5	also	also	ADV
concept-1835	59	6	denoted	denote	VERB
concept-1835	59	7	within	within	ADP
concept-1835	59	8	a	a	DET
concept-1835	59	9	row	row	NOUN
concept-1835	59	10	vector	vector	NOUN
concept-1835	59	11	;	;	PUNCT
concept-1835	59	12	ui	ui	NOUN
concept-1835	59	13	=	=	VERB
concept-1835	59	14	inflow	inflow	NOUN
concept-1835	59	15	through	through	ADP
concept-1835	59	16	ramp	ramp	NOUN
concept-1835	60	1	i	i	PRON
concept-1835	60	2	(	(	PUNCT
concept-1835	60	3	i	i	NOUN
concept-1835	60	4	=	=	PUNCT
concept-1835	60	5	1,2,3,	1,2,3,	NUM
concept-1835	60	6	…	…	SYM
concept-1835	60	7	k	k	NOUN
concept-1835	60	8	)	)	PUNCT
concept-1835	60	9	,	,	PUNCT
concept-1835	60	10	vj	vj	X
concept-1835	60	11	=	=	PUNCT
concept-1835	60	12	outflow	outflow	NOUN
concept-1835	60	13	through	through	ADP
concept-1835	60	14	ramp	ramp	PROPN
concept-1835	60	15	j	j	PROPN
concept-1835	60	16	(	(	PUNCT
concept-1835	60	17	j	j	PROPN
concept-1835	60	18	=	=	PUNCT
concept-1835	60	19	1,2,3,	1,2,3,	NUM
concept-1835	60	20	…	…	SYM
concept-1835	60	21	r	r	NOUN
concept-1835	60	22	)	)	PUNCT
concept-1835	60	23	,	,	PUNCT
concept-1835	60	24	and	and	CCONJ
concept-1835	60	25	k	k	X
concept-1835	61	1	=	=	PUNCT
concept-1835	61	2	the	the	DET
concept-1835	61	3	number	number	NOUN
concept-1835	61	4	of	of	ADP
concept-1835	61	5	on	on	ADP
concept-1835	61	6	-	-	PUNCT
concept-1835	61	7	ramps	ramp	NOUN
concept-1835	61	8	and	and	CCONJ
concept-1835	61	9	r	r	NOUN
concept-1835	61	10	=	=	NOUN
concept-1835	61	11	the	the	DET
concept-1835	61	12	number	number	NOUN
concept-1835	61	13	of	of	ADP
concept-1835	61	14	off	off	NOUN
concept-1835	61	15	-	-	PUNCT
concept-1835	61	16	ramps	ramp	NOUN
concept-1835	61	17	.	.	PUNCT
concept-1835	62	1	the	the	DET
concept-1835	62	2	branching	branch	VERB
concept-1835	62	3	probability	probability	NOUN
concept-1835	62	4	matrix	matrix	NOUN
concept-1835	62	5	is	be	AUX
concept-1835	62	6	written	write	VERB
concept-1835	62	7	in	in	ADP
concept-1835	62	8	canonical	canonical	ADJ
concept-1835	62	9	form	form	NOUN
concept-1835	62	10	:	:	PUNCT
concept-1835	63	1	𝑃	𝑃	NOUN
concept-1835	63	2	=	=	SYM
concept-1835	63	3	𝐼	𝐼	ADP
concept-1835	63	4	0	0	NUM
concept-1835	63	5	0	0	NUM
concept-1835	63	6	𝑅	𝑅	NOUN
concept-1835	63	7	!	!	NOUN
concept-1835	63	8	0	0	PUNCT
concept-1835	64	1	𝑄	𝑄	PROPN
concept-1835	64	2	!	!	PUNCT
concept-1835	65	1	𝑅	𝑅	NOUN
concept-1835	65	2	!	!	NOUN
concept-1835	65	3	0	0	PUNCT
concept-1835	66	1	𝑄	𝑄	PROPN
concept-1835	66	2	!	!	PUNCT
concept-1835	67	1	where	where	SCONJ
concept-1835	67	2	r1=	r1=	NOUN
concept-1835	67	3	the	the	DET
concept-1835	67	4	probability	probability	NOUN
concept-1835	67	5	of	of	ADP
concept-1835	67	6	an	an	DET
concept-1835	67	7	inflow	inflow	NOUN
concept-1835	67	8	from	from	ADP
concept-1835	67	9	on	on	ADP
concept-1835	67	10	-	-	PUNCT
concept-1835	67	11	ramp	ramp	NOUN
concept-1835	67	12	i	i	PRON
concept-1835	67	13	to	to	ADP
concept-1835	67	14	off	off	ADP
concept-1835	67	15	-	-	PUNCT
concept-1835	67	16	ramp	ramp	NOUN
concept-1835	67	17	  	  	SPACE
concept-1835	67	18	r2=	r2=	PROPN
concept-1835	67	19	the	the	DET
concept-1835	67	20	branching	branch	VERB
concept-1835	67	21	probability	probability	NOUN
concept-1835	67	22	of	of	ADP
concept-1835	67	23	traffic	traffic	NOUN
concept-1835	67	24	flow	flow	NOUN
concept-1835	67	25	from	from	ADP
concept-1835	67	26	section	section	NOUN
concept-1835	67	27	i	i	PRON
concept-1835	67	28	to	to	ADP
concept-1835	67	29	off	off	ADP
concept-1835	67	30	-	-	PUNCT
concept-1835	67	31	ramp	ramp	NOUN
concept-1835	67	32	j	j	PROPN
concept-1835	67	33	q1=	q1=	NOUN
concept-1835	67	34	the	the	DET
concept-1835	67	35	probability	probability	NOUN
concept-1835	67	36	of	of	ADP
concept-1835	67	37	an	an	DET
concept-1835	67	38	inflow	inflow	NOUN
concept-1835	67	39	from	from	ADP
concept-1835	67	40	on	on	ADP
concept-1835	67	41	-	-	PUNCT
concept-1835	67	42	ramp	ramp	NOUN
concept-1835	67	43	i	i	PRON
concept-1835	67	44	to	to	PART
concept-1835	67	45	section	section	VERB
concept-1835	67	46	j	j	PROPN
concept-1835	67	47	q2=	q2=	ADP
concept-1835	67	48	the	the	DET
concept-1835	67	49	branching	branch	VERB
concept-1835	67	50	probability	probability	NOUN
concept-1835	67	51	of	of	ADP
concept-1835	67	52	traffic	traffic	NOUN
concept-1835	67	53	flow	flow	NOUN
concept-1835	67	54	from	from	ADP
concept-1835	67	55	section	section	NOUN
concept-1835	67	56	i	i	PRON
concept-1835	67	57	to	to	PART
concept-1835	67	58	section	section	VERB
concept-1835	67	59	j	j	PROPN
concept-1835	67	60	traffic	traffic	NOUN
concept-1835	67	61	flows	flow	VERB
concept-1835	67	62	over	over	ADP
concept-1835	67	63	sections	section	NOUN
concept-1835	67	64	are	be	AUX
concept-1835	67	65	given	give	VERB
concept-1835	67	66	by	by	ADP
concept-1835	67	67	:	:	PUNCT
concept-1835	67	68	𝑋	𝑋	PROPN
concept-1835	67	69	=	=	PUNCT
concept-1835	67	70	𝑢𝑄!(𝐼	𝑢𝑄!(𝐼	PROPN
concept-1835	67	71	−	−	NOUN
concept-1835	67	72	𝑄	𝑄	PROPN
concept-1835	67	73	!	!	PUNCT
concept-1835	67	74	)	)	PUNCT
concept-1835	67	75	!	!	PUNCT
concept-1835	67	76	!	!	PUNCT
concept-1835	68	1	and	and	CCONJ
concept-1835	68	2	outflows	outflow	NOUN
concept-1835	68	3	through	through	ADP
concept-1835	68	4	ramps	ramp	NOUN
concept-1835	68	5	are	be	AUX
concept-1835	68	6	given	give	VERB
concept-1835	68	7	by	by	ADP
concept-1835	68	8	:	:	PUNCT
concept-1835	68	9	𝑣	𝑣	X
concept-1835	68	10	=	=	PUNCT
concept-1835	68	11	𝑢	𝑢	PROPN
concept-1835	68	12	𝑅	𝑅	PROPN
concept-1835	68	13	!	!	PROPN
concept-1835	69	1	+	+	PUNCT
concept-1835	69	2	𝑄!(𝐼	𝑄!(𝐼	NOUN
concept-1835	69	3	−	−	NOUN
concept-1835	69	4	𝑄!)!!𝑅	𝑄!)!!𝑅	NOUN
concept-1835	69	5	!	!	PUNCT
concept-1835	70	1	the	the	DET
concept-1835	70	2	second	second	ADJ
concept-1835	70	3	method	method	NOUN
concept-1835	70	4	described	describe	VERB
concept-1835	70	5	by	by	ADP
concept-1835	70	6	sasaki	sasaki	PROPN
concept-1835	70	7	and	and	CCONJ
concept-1835	70	8	myojin	myojin	NOUN
concept-1835	70	9	is	be	AUX
concept-1835	70	10	the	the	DET
concept-1835	70	11	route	route	NOUN
concept-1835	70	12	matrix	matrix	NOUN
concept-1835	70	13	method	method	NOUN
concept-1835	70	14	.	.	PUNCT
concept-1835	71	1	if	if	SCONJ
concept-1835	71	2	we	we	PRON
concept-1835	71	3	are	be	AUX
concept-1835	71	4	given	give	VERB
concept-1835	71	5	the	the	DET
concept-1835	71	6	distribution	distribution	NOUN
concept-1835	71	7	of	of	ADP
concept-1835	71	8	trips	trip	NOUN
concept-1835	71	9	between	between	ADP
concept-1835	71	10	on	on	ADP
concept-1835	71	11	-	-	PUNCT
concept-1835	71	12	ramps	ramp	NOUN
concept-1835	71	13	and	and	CCONJ
concept-1835	71	14	off	off	ADP
concept-1835	71	15	-	-	PUNCT
concept-1835	71	16	ramps	ramp	NOUN
concept-1835	71	17	,	,	PUNCT
concept-1835	71	18	we	we	PRON
concept-1835	71	19	can	can	AUX
concept-1835	71	20	form	form	VERB
concept-1835	71	21	a	a	DET
concept-1835	71	22	route	route	NOUN
concept-1835	71	23	matrix	matrix	NOUN
concept-1835	71	24	,	,	PUNCT
concept-1835	71	25	which	which	PRON
concept-1835	71	26	describes	describe	VERB
concept-1835	71	27	how	how	SCONJ
concept-1835	71	28	a	a	DET
concept-1835	71	29	vehicle	vehicle	NOUN
concept-1835	71	30	entering	enter	VERB
concept-1835	71	31	at	at	ADP
concept-1835	71	32	on	on	ADP
concept-1835	71	33	-	-	PUNCT
concept-1835	71	34	ramp	ramp	NOUN
concept-1835	71	35	i	i	PRON
concept-1835	71	36	will	will	AUX
concept-1835	71	37	travel	travel	VERB
concept-1835	71	38	to	to	ADP
concept-1835	71	39	off	off	ADP
concept-1835	71	40	-	-	PUNCT
concept-1835	71	41	ramp	ramp	NOUN
concept-1835	71	42	j.	j.	NOUN
concept-1835	71	43	this	this	PRON
concept-1835	71	44	will	will	AUX
concept-1835	71	45	be	be	AUX
concept-1835	71	46	an	an	DET
concept-1835	71	47	(	(	PUNCT
concept-1835	71	48	r	r	NOUN
concept-1835	71	49	×	×	PROPN
concept-1835	71	50	m	m	NOUN
concept-1835	71	51	)	)	PUNCT
concept-1835	71	52	matrix	matrix	NOUN
concept-1835	71	53	in	in	ADP
concept-1835	71	54	which	which	PRON
concept-1835	71	55	the	the	DET
concept-1835	71	56	entry	entry	NOUN
concept-1835	71	57	rim	rim	NOUN
concept-1835	71	58	is	be	AUX
concept-1835	71	59	equal	equal	ADJ
concept-1835	71	60	to	to	ADP
concept-1835	71	61	1	1	NUM
concept-1835	71	62	if	if	SCONJ
concept-1835	71	63	the	the	DET
concept-1835	71	64	route	route	NOUN
concept-1835	71	65	from	from	ADP
concept-1835	71	66	on	on	ADP
concept-1835	71	67	-	-	PUNCT
concept-1835	71	68	ramp	ramp	NOUN
concept-1835	71	69	i	i	PRON
concept-1835	71	70	to	to	ADP
concept-1835	71	71	off	off	ADP
concept-1835	71	72	-	-	PUNCT
concept-1835	71	73	ramp	ramp	NOUN
concept-1835	71	74	j	j	PROPN
concept-1835	71	75	includes	include	VERB
concept-1835	71	76	section	section	NOUN
concept-1835	71	77	m	m	PROPN
concept-1835	71	78	,	,	PUNCT
concept-1835	71	79	and	and	CCONJ
concept-1835	71	80	equal	equal	ADJ
concept-1835	71	81	to	to	ADP
concept-1835	71	82	0	0	NUM
concept-1835	71	83	otherwise	otherwise	ADV
concept-1835	71	84	.	.	PUNCT
concept-1835	72	1	each	each	PRON
concept-1835	72	2	on	on	ADP
concept-1835	72	3	-	-	PUNCT
concept-1835	72	4	ramp	ramp	NOUN
concept-1835	72	5	will	will	AUX
concept-1835	72	6	have	have	VERB
concept-1835	72	7	its	its	PRON
concept-1835	72	8	own	own	ADJ
concept-1835	72	9	matrix	matrix	NOUN
concept-1835	72	10	ri	ri	NOUN
concept-1835	72	11	.	.	PUNCT
concept-1835	73	1	the	the	DET
concept-1835	73	2	trip	trip	NOUN
concept-1835	73	3	distributions	distribution	NOUN
concept-1835	73	4	can	can	AUX
concept-1835	73	5	be	be	AUX
concept-1835	73	6	denoted	denote	VERB
concept-1835	73	7	by	by	ADP
concept-1835	73	8	row	row	NOUN
concept-1835	73	9	vector	vector	NOUN
concept-1835	73	10	pi	pi	NOUN
concept-1835	73	11	=	=	PUNCT
concept-1835	73	12	(	(	PUNCT
concept-1835	73	13	pi1,pi2,	pi1,pi2,	X
concept-1835	73	14	…	…	PUNCT
concept-1835	73	15	,pir	,pir	PUNCT
concept-1835	73	16	)	)	PUNCT
concept-1835	73	17	,	,	PUNCT
concept-1835	73	18	where	where	SCONJ
concept-1835	73	19	pij	pij	NOUN
concept-1835	73	20	=	=	NOUN
concept-1835	73	21	transition	transition	NOUN
concept-1835	73	22	probability	probability	NOUN
concept-1835	73	23	of	of	ADP
concept-1835	73	24	a	a	DET
concept-1835	73	25	trip	trip	NOUN
concept-1835	73	26	from	from	ADP
concept-1835	73	27	on	on	ADP
concept-1835	73	28	-	-	PUNCT
concept-1835	73	29	ramp	ramp	NOUN
concept-1835	73	30	i	i	PRON
concept-1835	73	31	to	to	ADP
concept-1835	73	32	off	off	ADP
concept-1835	73	33	-	-	PUNCT
concept-1835	73	34	ramp	ramp	NOUN
concept-1835	73	35	j.	j.	NOUN
concept-1835	73	36	the	the	DET
concept-1835	73	37	overall	overall	ADJ
concept-1835	73	38	expected	expect	VERB
concept-1835	73	39	traffic	traffic	NOUN
concept-1835	73	40	flow	flow	NOUN
concept-1835	73	41	over	over	ADP
concept-1835	73	42	the	the	DET
concept-1835	73	43	traffic	traffic	NOUN
concept-1835	73	44	network	network	NOUN
concept-1835	73	45	is	be	AUX
concept-1835	73	46	:	:	PUNCT
concept-1835	73	47	𝑄	𝑄	PROPN
concept-1835	73	48	=	=	SYM
concept-1835	73	49	𝑝!𝑅	𝑝!𝑅	PROPN
concept-1835	73	50	!	!	PUNCT
concept-1835	73	51	𝑝!𝑅	𝑝!𝑅	VERB
concept-1835	73	52	!	!	PROPN
concept-1835	73	53	⋮	⋮	NOUN
concept-1835	73	54	𝑝!𝑅	𝑝!𝑅	VERB
concept-1835	73	55	!	!	PUNCT
concept-1835	74	1	=	=	SYM
concept-1835	74	2	𝑄	𝑄	PROPN
concept-1835	74	3	!	!	PUNCT
concept-1835	74	4	"	"	PUNCT
concept-1835	74	5	,	,	PUNCT
concept-1835	74	6	(	(	PUNCT
concept-1835	74	7	𝑘×𝑚	𝑘×𝑚	NOUN
concept-1835	74	8	)	)	PUNCT
concept-1835	74	9	and	and	CCONJ
concept-1835	74	10	gross	gross	ADJ
concept-1835	74	11	actual	actual	ADJ
concept-1835	74	12	traffic	traffic	NOUN
concept-1835	74	13	flow	flow	NOUN
concept-1835	74	14	:	:	PUNCT
concept-1835	75	1	𝑋	𝑋	NOUN
concept-1835	75	2	=	=	PUNCT
concept-1835	75	3	𝑢𝑄	𝑢𝑄	ADP
concept-1835	75	4	another	another	DET
concept-1835	75	5	article	article	NOUN
concept-1835	75	6	describes	describe	VERB
concept-1835	75	7	this	this	DET
concept-1835	75	8	process	process	NOUN
concept-1835	75	9	in	in	ADP
concept-1835	75	10	detail	detail	NOUN
concept-1835	75	11	and	and	CCONJ
concept-1835	75	12	applies	apply	VERB
concept-1835	75	13	it	it	PRON
concept-1835	75	14	to	to	ADP
concept-1835	75	15	a	a	DET
concept-1835	75	16	hypothetical	hypothetical	ADJ
concept-1835	75	17	traffic	traffic	NOUN
concept-1835	75	18	network	network	NOUN
concept-1835	75	19	(	(	PUNCT
concept-1835	75	20	crisostomi	crisostomi	PROPN
concept-1835	75	21	,	,	PUNCT
concept-1835	75	22	kirkland	kirkland	PROPN
concept-1835	75	23	,	,	PUNCT
concept-1835	75	24	schlote	schlote	VERB
concept-1835	75	25	,	,	PUNCT
concept-1835	75	26	&	&	CCONJ
concept-1835	75	27	shorten	shorten	VERB
concept-1835	75	28	,	,	PUNCT
concept-1835	75	29	2010	2010	NUM
concept-1835	75	30	)	)	PUNCT
concept-1835	75	31	.	.	PUNCT
concept-1835	76	1	the	the	DET
concept-1835	76	2	literature	literature	NOUN
concept-1835	76	3	refers	refer	VERB
concept-1835	76	4	to	to	ADP
concept-1835	76	5	this	this	DET
concept-1835	76	6	approach	approach	NOUN
concept-1835	76	7	as	as	ADP
concept-1835	76	8	the	the	DET
concept-1835	76	9	origin	origin	NOUN
concept-1835	76	10	-	-	PUNCT
concept-1835	76	11	destination	destination	NOUN
concept-1835	76	12	(	(	PUNCT
concept-1835	76	13	od	od	NOUN
concept-1835	76	14	)	)	PUNCT
concept-1835	76	15	matrix	matrix	NOUN
concept-1835	76	16	method	method	NOUN
concept-1835	76	17	.	.	PUNCT
concept-1835	77	1	the	the	DET
concept-1835	77	2	estimation	estimation	NOUN
concept-1835	77	3	of	of	ADP
concept-1835	77	4	these	these	DET
concept-1835	77	5	matrices	matrix	NOUN
concept-1835	77	6	by	by	ADP
concept-1835	77	7	various	various	ADJ
concept-1835	77	8	means	mean	NOUN
concept-1835	77	9	is	be	AUX
concept-1835	77	10	the	the	DET
concept-1835	77	11	subject	subject	NOUN
concept-1835	77	12	of	of	ADP
concept-1835	77	13	several	several	ADJ
concept-1835	77	14	articles	article	NOUN
concept-1835	77	15	(	(	PUNCT
concept-1835	77	16	van	van	PROPN
concept-1835	77	17	zuylen	zuylen	PROPN
concept-1835	77	18	&	&	CCONJ
concept-1835	77	19	willumsen	willumsen	PROPN
concept-1835	77	20	,	,	PUNCT
concept-1835	77	21	1980	1980	NUM
concept-1835	77	22	)	)	PUNCT
concept-1835	77	23	(	(	PUNCT
concept-1835	77	24	perrakis	perrakis	INTJ
concept-1835	77	25	,	,	PUNCT
concept-1835	77	26	karlis	karlis	PROPN
concept-1835	77	27	,	,	PUNCT
concept-1835	77	28	cools	cool	NOUN
concept-1835	77	29	,	,	PUNCT
concept-1835	77	30	janssens	janssen	NOUN
concept-1835	77	31	,	,	PUNCT
concept-1835	77	32	&	&	CCONJ
concept-1835	77	33	wets	wet	VERB
concept-1835	77	34	,	,	PUNCT
concept-1835	77	35	2012	2012	NUM
concept-1835	77	36	)	)	PUNCT
concept-1835	77	37	(	(	PUNCT
concept-1835	77	38	youngblom	youngblom	NOUN
concept-1835	77	39	,	,	PUNCT
concept-1835	77	40	2013	2013	NUM
concept-1835	77	41	)	)	PUNCT
concept-1835	77	42	.	.	PUNCT
concept-1835	78	1	iii	iii	X
concept-1835	78	2	.	.	PROPN
concept-1835	78	3	model	model	PROPN
concept-1835	78	4	  	  	SPACE
concept-1835	78	5	the	the	DET
concept-1835	78	6	purpose	purpose	NOUN
concept-1835	78	7	of	of	ADP
concept-1835	78	8	this	this	DET
concept-1835	78	9	model	model	NOUN
concept-1835	78	10	is	be	AUX
concept-1835	78	11	to	to	PART
concept-1835	78	12	predict	predict	VERB
concept-1835	78	13	when	when	SCONJ
concept-1835	78	14	and	and	CCONJ
concept-1835	78	15	where	where	SCONJ
concept-1835	78	16	heavy	heavy	ADJ
concept-1835	78	17	traffic	traffic	NOUN
concept-1835	78	18	is	be	AUX
concept-1835	78	19	most	most	ADV
concept-1835	78	20	likely	likely	ADJ
concept-1835	78	21	to	to	PART
concept-1835	78	22	occur	occur	VERB
concept-1835	78	23	in	in	ADP
concept-1835	78	24	a	a	DET
concept-1835	78	25	highway	highway	NOUN
concept-1835	78	26	network	network	NOUN
concept-1835	78	27	.	.	PUNCT
concept-1835	79	1	since	since	SCONJ
concept-1835	79	2	the	the	DET
concept-1835	79	3	focus	focus	NOUN
concept-1835	79	4	of	of	ADP
concept-1835	79	5	this	this	DET
concept-1835	79	6	model	model	NOUN
concept-1835	79	7	is	be	AUX
concept-1835	79	8	on	on	ADP
concept-1835	79	9	particular	particular	ADJ
concept-1835	79	10	segments	segment	NOUN
concept-1835	79	11	of	of	ADP
concept-1835	79	12	highway	highway	NOUN
concept-1835	79	13	rather	rather	ADV
concept-1835	79	14	than	than	ADP
concept-1835	79	15	individual	individual	ADJ
concept-1835	79	16	vehicles	vehicle	NOUN
concept-1835	79	17	or	or	CCONJ
concept-1835	79	18	traffic	traffic	NOUN
concept-1835	79	19	flow	flow	NOUN
concept-1835	79	20	,	,	PUNCT
concept-1835	79	21	it	it	PRON
concept-1835	79	22	would	would	AUX
concept-1835	79	23	need	need	VERB
concept-1835	79	24	to	to	PART
concept-1835	79	25	be	be	AUX
concept-1835	79	26	macroscopic	macroscopic	ADJ
concept-1835	79	27	in	in	ADP
concept-1835	79	28	its	its	PRON
concept-1835	79	29	level	level	NOUN
concept-1835	79	30	of	of	ADP
concept-1835	79	31	detail	detail	NOUN
concept-1835	79	32	.	.	PUNCT
concept-1835	80	1	sasaki	sasaki	PROPN
concept-1835	80	2	and	and	CCONJ
concept-1835	80	3	myojin	myojin	PROPN
concept-1835	80	4	’s	’s	PART
concept-1835	80	5	model	model	NOUN
concept-1835	80	6	from	from	ADP
concept-1835	80	7	the	the	DET
concept-1835	80	8	previous	previous	ADJ
concept-1835	80	9	section	section	NOUN
concept-1835	80	10	provides	provide	VERB
concept-1835	80	11	a	a	DET
concept-1835	80	12	good	good	ADJ
concept-1835	80	13	foundation	foundation	NOUN
concept-1835	80	14	on	on	ADP
concept-1835	80	15	which	which	PRON
concept-1835	80	16	to	to	PART
concept-1835	80	17	build	build	VERB
concept-1835	80	18	this	this	DET
concept-1835	80	19	model	model	NOUN
concept-1835	80	20	since	since	SCONJ
concept-1835	80	21	their	their	PRON
concept-1835	80	22	model	model	NOUN
concept-1835	80	23	’s	’s	PART
concept-1835	80	24	level	level	NOUN
concept-1835	80	25	of	of	ADP
concept-1835	80	26	focus	focus	NOUN
concept-1835	80	27	is	be	AUX
concept-1835	80	28	on	on	ADP
concept-1835	80	29	highway	highway	NOUN
concept-1835	80	30	segments	segment	NOUN
concept-1835	80	31	.	.	PUNCT
concept-1835	81	1	but	but	CCONJ
concept-1835	81	2	we	we	PRON
concept-1835	81	3	should	should	AUX
concept-1835	81	4	first	first	ADV
concept-1835	81	5	reexamine	reexamine	VERB
concept-1835	81	6	the	the	DET
concept-1835	81	7	situation	situation	NOUN
concept-1835	81	8	we	we	PRON
concept-1835	81	9	are	be	AUX
concept-1835	81	10	trying	try	VERB
concept-1835	81	11	to	to	PART
concept-1835	81	12	model	model	VERB
concept-1835	81	13	.	.	PUNCT
concept-1835	82	1	representing	represent	VERB
concept-1835	82	2	a	a	DET
concept-1835	82	3	highway	highway	NOUN
concept-1835	82	4	system	system	NOUN
concept-1835	82	5	as	as	ADP
concept-1835	82	6	a	a	DET
concept-1835	82	7	matrix	matrix	NOUN
concept-1835	82	8	a	a	DET
concept-1835	82	9	road	road	NOUN
concept-1835	82	10	network	network	NOUN
concept-1835	82	11	can	can	AUX
concept-1835	82	12	be	be	AUX
concept-1835	82	13	looked	look	VERB
concept-1835	82	14	at	at	ADP
concept-1835	82	15	as	as	ADP
concept-1835	82	16	a	a	DET
concept-1835	82	17	system	system	NOUN
concept-1835	82	18	of	of	ADP
concept-1835	82	19	exits	exit	NOUN
concept-1835	82	20	connected	connect	VERB
concept-1835	82	21	by	by	ADP
concept-1835	82	22	segments	segment	NOUN
concept-1835	82	23	of	of	ADP
concept-1835	82	24	highway	highway	NOUN
concept-1835	82	25	that	that	PRON
concept-1835	82	26	can	can	AUX
concept-1835	82	27	be	be	AUX
concept-1835	82	28	represented	represent	VERB
concept-1835	82	29	by	by	ADP
concept-1835	82	30	a	a	DET
concept-1835	82	31	directed	direct	VERB
concept-1835	82	32	graph	graph	NOUN
concept-1835	82	33	.	.	PUNCT
concept-1835	83	1	the	the	DET
concept-1835	83	2	vertices	vertex	NOUN
concept-1835	83	3	of	of	ADP
concept-1835	83	4	the	the	DET
concept-1835	83	5	graph	graph	NOUN
concept-1835	83	6	represent	represent	VERB
concept-1835	83	7	exits	exit	NOUN
concept-1835	83	8	and	and	CCONJ
concept-1835	83	9	edges	edge	NOUN
concept-1835	83	10	represent	represent	VERB
concept-1835	83	11	highway	highway	NOUN
concept-1835	83	12	segments	segment	NOUN
concept-1835	83	13	:	:	PUNCT
concept-1835	83	14	for	for	ADP
concept-1835	83	15	this	this	DET
concept-1835	83	16	example	example	NOUN
concept-1835	83	17	,	,	PUNCT
concept-1835	83	18	there	there	PRON
concept-1835	83	19	are	be	VERB
concept-1835	83	20	7	7	NUM
concept-1835	83	21	exits	exit	NOUN
concept-1835	83	22	connected	connect	VERB
concept-1835	83	23	by	by	ADP
concept-1835	83	24	highway	highway	NOUN
concept-1835	83	25	segments	segment	NOUN
concept-1835	83	26	.	.	PUNCT
concept-1835	84	1	an	an	DET
concept-1835	84	2	adjacency	adjacency	NOUN
concept-1835	84	3	matrix	matrix	NOUN
concept-1835	84	4	a	a	PRON
concept-1835	84	5	can	can	AUX
concept-1835	84	6	be	be	AUX
concept-1835	84	7	formed	form	VERB
concept-1835	84	8	to	to	PART
concept-1835	84	9	describe	describe	VERB
concept-1835	84	10	this	this	DET
concept-1835	84	11	system	system	NOUN
concept-1835	84	12	:	:	PUNCT
concept-1835	84	13	𝐀	𝐀	NOUN
concept-1835	84	14	=	=	NOUN
concept-1835	84	15	0	0	NUM
concept-1835	85	1	1	1	NUM
concept-1835	85	2	0	0	NUM
concept-1835	85	3	1	1	NUM
concept-1835	85	4	0	0	NUM
concept-1835	85	5	1	1	NUM
concept-1835	85	6	0	0	NUM
concept-1835	85	7	1	1	NUM
concept-1835	85	8	0	0	NUM
concept-1835	85	9	0	0	NUM
concept-1835	85	10	0	0	NUM
concept-1835	85	11	0	0	NUM
concept-1835	85	12	0	0	NUM
concept-1835	85	13	1	1	NUM
concept-1835	85	14	0	0	NUM
concept-1835	85	15	1	1	NUM
concept-1835	85	16	1	1	NUM
concept-1835	85	17	0	0	NUM
concept-1835	85	18	1	1	NUM
concept-1835	85	19	1	1	NUM
concept-1835	85	20	0	0	NUM
concept-1835	85	21	0	0	NUM
concept-1835	85	22	0	0	NUM
concept-1835	85	23	1	1	NUM
concept-1835	85	24	0	0	NUM
concept-1835	85	25	1	1	NUM
concept-1835	85	26	1	1	NUM
concept-1835	85	27	0	0	NUM
concept-1835	85	28	1	1	NUM
concept-1835	85	29	0	0	NUM
concept-1835	85	30	1	1	NUM
concept-1835	85	31	0	0	NUM
concept-1835	85	32	0	0	NUM
concept-1835	85	33	0	0	NUM
concept-1835	85	34	0	0	NUM
concept-1835	85	35	1	1	NUM
concept-1835	85	36	0	0	NUM
concept-1835	85	37	0	0	NUM
concept-1835	85	38	1	1	NUM
concept-1835	85	39	1	1	NUM
concept-1835	85	40	0	0	NUM
concept-1835	85	41	1	1	NUM
concept-1835	85	42	0	0	NUM
concept-1835	85	43	0	0	NUM
concept-1835	85	44	1	1	NUM
concept-1835	85	45	0	0	NUM
concept-1835	85	46	0	0	NUM
concept-1835	85	47	1	1	NUM
concept-1835	85	48	0	0	NUM
concept-1835	85	49	a	a	DET
concept-1835	85	50	new	new	ADJ
concept-1835	85	51	matrix	matrix	NOUN
concept-1835	85	52	d	d	ADP
concept-1835	85	53	representing	represent	VERB
concept-1835	85	54	the	the	DET
concept-1835	85	55	distance	distance	NOUN
concept-1835	85	56	between	between	ADP
concept-1835	85	57	exits	exit	NOUN
concept-1835	85	58	in	in	ADP
concept-1835	85	59	miles	mile	NOUN
concept-1835	85	60	can	can	AUX
concept-1835	85	61	be	be	AUX
concept-1835	85	62	defined	define	VERB
concept-1835	85	63	by	by	ADP
concept-1835	85	64	inserting	insert	VERB
concept-1835	85	65	the	the	DET
concept-1835	85	66	distances	distance	NOUN
concept-1835	85	67	between	between	ADP
concept-1835	85	68	exits	exit	NOUN
concept-1835	85	69	instead	instead	ADV
concept-1835	85	70	of	of	ADP
concept-1835	85	71	1s	1s	NUM
concept-1835	85	72	,	,	PUNCT
concept-1835	85	73	replacing	replace	VERB
concept-1835	85	74	the	the	DET
concept-1835	85	75	0s	0s	NOUN
concept-1835	85	76	that	that	PRON
concept-1835	85	77	represent	represent	VERB
concept-1835	85	78	unconnected	unconnected	ADJ
concept-1835	85	79	exits	exit	NOUN
concept-1835	85	80	with	with	ADP
concept-1835	85	81	a	a	DET
concept-1835	85	82	very	very	ADV
concept-1835	85	83	large	large	ADJ
concept-1835	85	84	number	number	NOUN
concept-1835	85	85	to	to	PART
concept-1835	85	86	simulate	simulate	VERB
concept-1835	85	87	an	an	DET
concept-1835	85	88	infinite	infinite	ADJ
concept-1835	85	89	distance	distance	NOUN
concept-1835	85	90	,	,	PUNCT
concept-1835	85	91	and	and	CCONJ
concept-1835	85	92	leaving	leave	VERB
concept-1835	85	93	the	the	DET
concept-1835	85	94	0s	0s	NOUN
concept-1835	85	95	in	in	ADP
concept-1835	85	96	place	place	NOUN
concept-1835	85	97	for	for	ADP
concept-1835	85	98	elements	element	NOUN
concept-1835	85	99	where	where	SCONJ
concept-1835	85	100	i	i	PRON
concept-1835	85	101	=	=	SYM
concept-1835	85	102	j	j	PROPN
concept-1835	85	103	:	:	PUNCT
concept-1835	85	104	  	  	SPACE
concept-1835	85	105	𝐃	𝐃	NOUN
concept-1835	85	106	=	=	SYM
concept-1835	85	107	0	0	NUM
concept-1835	85	108	3	3	NUM
concept-1835	85	109	∞	∞	NUM
concept-1835	85	110	3	3	NUM
concept-1835	85	111	0	0	NUM
concept-1835	85	112	3	3	NUM
concept-1835	85	113	∞	∞	NUM
concept-1835	85	114	3	3	NUM
concept-1835	85	115	0	0	NUM
concept-1835	85	116	∞	∞	NUM
concept-1835	85	117	∞	∞	NUM
concept-1835	85	118	∞	∞	NUM
concept-1835	85	119	∞	∞	NUM
concept-1835	85	120	2	2	NUM
concept-1835	85	121	∞	∞	NUM
concept-1835	85	122	2	2	NUM
concept-1835	85	123	3	3	NUM
concept-1835	85	124	∞	∞	NUM
concept-1835	85	125	4	4	NUM
concept-1835	85	126	5	5	NUM
concept-1835	85	127	∞	∞	NUM
concept-1835	85	128	∞	∞	NUM
concept-1835	85	129	∞	∞	NUM
concept-1835	85	130	2	2	NUM
concept-1835	85	131	∞	∞	NUM
concept-1835	85	132	2	2	NUM
concept-1835	85	133	3	3	NUM
concept-1835	85	134	∞	∞	NUM
concept-1835	85	135	4	4	NUM
concept-1835	85	136	∞	∞	NUM
concept-1835	85	137	5	5	NUM
concept-1835	85	138	∞	∞	NUM
concept-1835	85	139	∞	∞	NUM
concept-1835	85	140	0	0	NUM
concept-1835	85	141	∞	∞	NUM
concept-1835	85	142	2	2	NUM
concept-1835	85	143	∞	∞	NUM
concept-1835	85	144	0	0	NUM
concept-1835	85	145	1	1	NUM
concept-1835	85	146	2	2	NUM
concept-1835	85	147	∞	∞	NUM
concept-1835	85	148	1	1	NUM
concept-1835	85	149	∞	∞	NUM
concept-1835	85	150	0	0	NUM
concept-1835	85	151	1	1	NUM
concept-1835	85	152	∞	∞	NUM
concept-1835	85	153	∞	∞	NUM
concept-1835	85	154	1	1	NUM
concept-1835	85	155	0	0	NUM
concept-1835	85	156	the	the	DET
concept-1835	85	157	matrix	matrix	NOUN
concept-1835	85	158	d	d	NOUN
concept-1835	85	159	describes	describe	VERB
concept-1835	85	160	the	the	DET
concept-1835	85	161	relevant	relevant	ADJ
concept-1835	85	162	information	information	NOUN
concept-1835	85	163	about	about	ADP
concept-1835	85	164	how	how	SCONJ
concept-1835	85	165	the	the	DET
concept-1835	85	166	exits	exit	NOUN
concept-1835	85	167	are	be	AUX
concept-1835	85	168	connected	connect	VERB
concept-1835	85	169	to	to	ADP
concept-1835	85	170	each	each	DET
concept-1835	85	171	other	other	ADJ
concept-1835	85	172	,	,	PUNCT
concept-1835	85	173	but	but	CCONJ
concept-1835	85	174	we	we	PRON
concept-1835	85	175	also	also	ADV
concept-1835	85	176	need	need	VERB
concept-1835	85	177	to	to	PART
concept-1835	85	178	know	know	VERB
concept-1835	85	179	how	how	SCONJ
concept-1835	85	180	many	many	ADJ
concept-1835	85	181	lanes	lane	NOUN
concept-1835	85	182	of	of	ADP
concept-1835	85	183	traffic	traffic	NOUN
concept-1835	85	184	there	there	PRON
concept-1835	85	185	are	be	VERB
concept-1835	85	186	on	on	ADP
concept-1835	85	187	each	each	DET
concept-1835	85	188	segment	segment	NOUN
concept-1835	85	189	of	of	ADP
concept-1835	85	190	highway	highway	NOUN
concept-1835	85	191	.	.	PUNCT
concept-1835	86	1	a	a	DET
concept-1835	86	2	matrix	matrix	NOUN
concept-1835	86	3	to	to	PART
concept-1835	86	4	describe	describe	VERB
concept-1835	86	5	the	the	DET
concept-1835	86	6	number	number	NOUN
concept-1835	86	7	of	of	ADP
concept-1835	86	8	lanes	lane	NOUN
concept-1835	86	9	between	between	ADP
concept-1835	86	10	exits	exit	NOUN
concept-1835	86	11	l	l	NOUN
concept-1835	86	12	is	be	AUX
concept-1835	86	13	defined	define	VERB
concept-1835	86	14	,	,	PUNCT
concept-1835	86	15	where	where	SCONJ
concept-1835	86	16	elements	element	NOUN
concept-1835	86	17	representing	represent	VERB
concept-1835	86	18	segments	segment	NOUN
concept-1835	86	19	that	that	PRON
concept-1835	86	20	are	be	AUX
concept-1835	86	21	not	not	PART
concept-1835	86	22	connected	connect	VERB
concept-1835	86	23	are	be	AUX
concept-1835	86	24	given	give	VERB
concept-1835	86	25	a	a	DET
concept-1835	86	26	value	value	NOUN
concept-1835	86	27	of	of	ADP
concept-1835	86	28	-1	-1	PUNCT
concept-1835	86	29	as	as	ADP
concept-1835	86	30	a	a	DET
concept-1835	86	31	placeholder	placeholder	NOUN
concept-1835	86	32	(	(	PUNCT
concept-1835	86	33	avoiding	avoid	VERB
concept-1835	86	34	possible	possible	ADJ
concept-1835	86	35	division	division	NOUN
concept-1835	86	36	by	by	ADP
concept-1835	86	37	zero	zero	NUM
concept-1835	86	38	later	later	ADV
concept-1835	86	39	in	in	ADP
concept-1835	86	40	the	the	DET
concept-1835	86	41	model	model	NOUN
concept-1835	86	42	):	):	PUNCT
concept-1835	86	43	𝐋	𝐋	PROPN
concept-1835	86	44	=	=	PUNCT
concept-1835	86	45	−1	−1	NOUN
concept-1835	86	46	2	2	NUM
concept-1835	86	47	−1	−1	NOUN
concept-1835	86	48	2	2	NUM
concept-1835	86	49	−1	−1	NOUN
concept-1835	86	50	2	2	NUM
concept-1835	86	51	−1	−1	NOUN
concept-1835	86	52	2	2	NUM
concept-1835	86	53	−1	−1	NOUN
concept-1835	86	54	−1	−1	NOUN
concept-1835	86	55	−1	−1	NOUN
concept-1835	86	56	−1	−1	NOUN
concept-1835	86	57	−1	−1	NOUN
concept-1835	86	58	3	3	NUM
concept-1835	86	59	−1	−1	NOUN
concept-1835	86	60	2	2	NUM
concept-1835	86	61	3	3	NUM
concept-1835	86	62	−1	−1	NOUN
concept-1835	86	63	2	2	NUM
concept-1835	86	64	3	3	NUM
concept-1835	86	65	−1	−1	NOUN
concept-1835	86	66	−1	−1	NOUN
concept-1835	86	67	−1	−1	NOUN
concept-1835	86	68	2	2	NUM
concept-1835	86	69	−1	−1	NOUN
concept-1835	86	70	3	3	NUM
concept-1835	86	71	3	3	NUM
concept-1835	86	72	−1	−1	NOUN
concept-1835	86	73	2	2	NUM
concept-1835	86	74	−1	−1	NOUN
concept-1835	86	75	3	3	NUM
concept-1835	86	76	−1	−1	NOUN
concept-1835	86	77	−1	−1	NOUN
concept-1835	86	78	−1	−1	NOUN
concept-1835	86	79	−1	−1	NOUN
concept-1835	86	80	2	2	NUM
concept-1835	86	81	−1	−1	NOUN
concept-1835	86	82	−1	−1	NOUN
concept-1835	86	83	1	1	NUM
concept-1835	86	84	2	2	NUM
concept-1835	86	85	−1	−1	NOUN
concept-1835	86	86	1	1	NUM
concept-1835	86	87	−1	−1	NOUN
concept-1835	86	88	−1	−1	NOUN
concept-1835	86	89	3	3	NUM
concept-1835	86	90	−1	−1	NOUN
concept-1835	86	91	−1	−1	NOUN
concept-1835	86	92	3	3	NUM
concept-1835	86	93	−1	−1	NOUN
concept-1835	87	1	the	the	DET
concept-1835	87	2	two	two	NUM
concept-1835	87	3	matrices	matrix	NOUN
concept-1835	87	4	d	d	NOUN
concept-1835	87	5	and	and	CCONJ
concept-1835	87	6	l	l	PROPN
concept-1835	87	7	together	together	ADV
concept-1835	87	8	describe	describe	VERB
concept-1835	87	9	all	all	DET
concept-1835	87	10	the	the	DET
concept-1835	87	11	important	important	ADJ
concept-1835	87	12	information	information	NOUN
concept-1835	87	13	about	about	ADP
concept-1835	87	14	the	the	DET
concept-1835	87	15	geometry	geometry	NOUN
concept-1835	87	16	of	of	ADP
concept-1835	87	17	the	the	DET
concept-1835	87	18	highway	highway	NOUN
concept-1835	87	19	system	system	NOUN
concept-1835	87	20	.	.	PUNCT
concept-1835	88	1	determining	determine	VERB
concept-1835	88	2	populations	population	NOUN
concept-1835	88	3	now	now	ADV
concept-1835	88	4	that	that	SCONJ
concept-1835	88	5	the	the	DET
concept-1835	88	6	road	road	NOUN
concept-1835	88	7	network	network	NOUN
concept-1835	88	8	is	be	AUX
concept-1835	88	9	established	establish	VERB
concept-1835	88	10	,	,	PUNCT
concept-1835	88	11	we	we	PRON
concept-1835	88	12	can	can	AUX
concept-1835	88	13	consider	consider	VERB
concept-1835	88	14	how	how	SCONJ
concept-1835	88	15	vehicles	vehicle	NOUN
concept-1835	88	16	travel	travel	VERB
concept-1835	88	17	on	on	ADP
concept-1835	88	18	the	the	DET
concept-1835	88	19	system	system	NOUN
concept-1835	88	20	.	.	PUNCT
concept-1835	89	1	assume	assume	VERB
concept-1835	89	2	that	that	SCONJ
concept-1835	89	3	at	at	ADP
concept-1835	89	4	any	any	DET
concept-1835	89	5	time	time	NOUN
concept-1835	89	6	t	t	NOUN
concept-1835	89	7	there	there	PRON
concept-1835	89	8	are	be	VERB
concept-1835	89	9	a	a	DET
concept-1835	89	10	particular	particular	ADJ
concept-1835	89	11	number	number	NOUN
concept-1835	89	12	of	of	ADP
concept-1835	89	13	vehicles	vehicle	NOUN
concept-1835	89	14	in	in	ADP
concept-1835	89	15	the	the	DET
concept-1835	89	16	area	area	NOUN
concept-1835	89	17	of	of	ADP
concept-1835	89	18	each	each	DET
concept-1835	89	19	exit	exit	NOUN
concept-1835	89	20	.	.	PUNCT
concept-1835	90	1	these	these	DET
concept-1835	90	2	populations	population	NOUN
concept-1835	90	3	can	can	AUX
concept-1835	90	4	be	be	AUX
concept-1835	90	5	represented	represent	VERB
concept-1835	90	6	by	by	ADP
concept-1835	90	7	a	a	DET
concept-1835	90	8	row	row	NOUN
concept-1835	90	9	vector	vector	NOUN
concept-1835	90	10	q	q	NOUN
concept-1835	90	11	=	=	SYM
concept-1835	90	12	(	(	PUNCT
concept-1835	90	13	q1	q1	PROPN
concept-1835	90	14	,	,	PUNCT
concept-1835	90	15	q2	q2	NOUN
concept-1835	90	16	,	,	PUNCT
concept-1835	90	17	…	…	PUNCT
concept-1835	90	18	,	,	PUNCT
concept-1835	90	19	qm	qm	PROPN
concept-1835	90	20	)	)	PUNCT
concept-1835	90	21	,	,	PUNCT
concept-1835	90	22	where	where	SCONJ
concept-1835	90	23	qi	qi	PROPN
concept-1835	90	24	represents	represent	VERB
concept-1835	90	25	the	the	DET
concept-1835	90	26	population	population	NOUN
concept-1835	90	27	at	at	ADP
concept-1835	90	28	exit	exit	NOUN
concept-1835	90	29	i.	i.	NOUN
concept-1835	90	30	so	so	ADV
concept-1835	90	31	qt	qt	PROPN
concept-1835	90	32	=	=	SYM
concept-1835	90	33	(	(	PUNCT
concept-1835	90	34	q1	q1	PROPN
concept-1835	90	35	t	t	PROPN
concept-1835	90	36	,	,	PUNCT
concept-1835	90	37	q2	q2	PROPN
concept-1835	90	38	t	t	PROPN
concept-1835	90	39	,	,	PUNCT
concept-1835	90	40	…	…	PUNCT
concept-1835	90	41	,	,	PUNCT
concept-1835	90	42	qmt	qmt	NOUN
concept-1835	90	43	)	)	PUNCT
concept-1835	90	44	represents	represent	VERB
concept-1835	90	45	the	the	DET
concept-1835	90	46	populations	population	NOUN
concept-1835	90	47	at	at	ADP
concept-1835	90	48	each	each	DET
concept-1835	90	49	exit	exit	NOUN
concept-1835	90	50	at	at	ADP
concept-1835	90	51	time	time	NOUN
concept-1835	90	52	t.	t.	PROPN
concept-1835	90	53	for	for	ADP
concept-1835	90	54	this	this	DET
concept-1835	90	55	model	model	NOUN
concept-1835	90	56	,	,	PUNCT
concept-1835	90	57	time	time	NOUN
concept-1835	90	58	takes	take	VERB
concept-1835	90	59	on	on	ADP
concept-1835	90	60	discrete	discrete	ADJ
concept-1835	90	61	values	value	NOUN
concept-1835	90	62	of	of	ADP
concept-1835	90	63	one	one	NUM
concept-1835	90	64	-	-	PUNCT
concept-1835	90	65	hour	hour	NOUN
concept-1835	90	66	increments	increment	NOUN
concept-1835	90	67	,	,	PUNCT
concept-1835	90	68	so	so	SCONJ
concept-1835	90	69	for	for	ADP
concept-1835	90	70	each	each	DET
concept-1835	90	71	hour	hour	NOUN
concept-1835	90	72	a	a	DET
concept-1835	90	73	new	new	ADJ
concept-1835	90	74	population	population	NOUN
concept-1835	90	75	must	must	AUX
concept-1835	90	76	be	be	AUX
concept-1835	90	77	determined	determine	VERB
concept-1835	90	78	.	.	PUNCT
concept-1835	91	1	this	this	DET
concept-1835	91	2	new	new	ADJ
concept-1835	91	3	population	population	NOUN
concept-1835	91	4	consists	consist	VERB
concept-1835	91	5	of	of	ADP
concept-1835	91	6	vehicles	vehicle	NOUN
concept-1835	91	7	that	that	PRON
concept-1835	91	8	came	come	VERB
concept-1835	91	9	from	from	ADP
concept-1835	91	10	another	another	DET
concept-1835	91	11	exit	exit	NOUN
concept-1835	91	12	as	as	ADV
concept-1835	91	13	well	well	ADV
concept-1835	91	14	as	as	ADP
concept-1835	91	15	vehicles	vehicle	NOUN
concept-1835	91	16	that	that	PRON
concept-1835	91	17	did	do	AUX
concept-1835	91	18	not	not	PART
concept-1835	91	19	travel	travel	VERB
concept-1835	91	20	away	away	ADV
concept-1835	91	21	from	from	ADP
concept-1835	91	22	their	their	PRON
concept-1835	91	23	exit	exit	NOUN
concept-1835	91	24	.	.	PUNCT
concept-1835	92	1	first	first	ADV
concept-1835	92	2	,	,	PUNCT
concept-1835	92	3	consider	consider	VERB
concept-1835	92	4	the	the	DET
concept-1835	92	5	vehicles	vehicle	NOUN
concept-1835	92	6	that	that	PRON
concept-1835	92	7	come	come	VERB
concept-1835	92	8	from	from	ADP
concept-1835	92	9	another	another	DET
concept-1835	92	10	exit	exit	NOUN
concept-1835	92	11	.	.	PUNCT
concept-1835	93	1	let	let	VERB
concept-1835	93	2	the	the	DET
concept-1835	93	3	exit	exit	NOUN
concept-1835	93	4	traveled	travel	VERB
concept-1835	93	5	from	from	ADP
concept-1835	93	6	be	be	AUX
concept-1835	93	7	ei	ei	NOUN
concept-1835	93	8	and	and	CCONJ
concept-1835	93	9	the	the	DET
concept-1835	93	10	exit	exit	NOUN
concept-1835	93	11	traveled	travel	VERB
concept-1835	93	12	toward	toward	AUX
concept-1835	93	13	be	be	AUX
concept-1835	93	14	ej	ej	PROPN
concept-1835	93	15	.	.	PUNCT
concept-1835	94	1	then	then	ADV
concept-1835	94	2	there	there	PRON
concept-1835	94	3	is	be	VERB
concept-1835	94	4	a	a	DET
concept-1835	94	5	probability	probability	NOUN
concept-1835	94	6	that	that	SCONJ
concept-1835	94	7	a	a	DET
concept-1835	94	8	vehicle	vehicle	NOUN
concept-1835	94	9	leaving	leave	VERB
concept-1835	94	10	ei	ei	NOUN
concept-1835	94	11	goes	go	VERB
concept-1835	94	12	to	to	ADP
concept-1835	94	13	ej	ej	PROPN
concept-1835	94	14	which	which	PRON
concept-1835	94	15	can	can	AUX
concept-1835	94	16	be	be	AUX
concept-1835	94	17	expressed	express	VERB
concept-1835	94	18	as	as	ADP
concept-1835	94	19	pij	pij	NOUN
concept-1835	94	20	.	.	PUNCT
concept-1835	95	1	a	a	DET
concept-1835	95	2	matrix	matrix	NOUN
concept-1835	95	3	p	p	NOUN
concept-1835	95	4	can	can	AUX
concept-1835	95	5	be	be	AUX
concept-1835	95	6	formed	form	VERB
concept-1835	95	7	from	from	ADP
concept-1835	95	8	these	these	DET
concept-1835	95	9	probabilities	probability	NOUN
concept-1835	95	10	:	:	PUNCT
concept-1835	95	11	  	  	SPACE
concept-1835	95	12	𝐏	𝐏	PROPN
concept-1835	95	13	=	=	SYM
concept-1835	95	14	𝑝	𝑝	PROPN
concept-1835	95	15	!	!	PUNCT
concept-1835	95	16	,	,	PUNCT
concept-1835	95	17	!	!	PUNCT
concept-1835	96	1	𝑝	𝑝	X
concept-1835	96	2	!	!	PUNCT
concept-1835	96	3	,	,	PUNCT
concept-1835	96	4	!	!	PUNCT
concept-1835	97	1	⋯	⋯	PROPN
concept-1835	97	2	𝑝	𝑝	PROPN
concept-1835	97	3	!	!	PUNCT
concept-1835	97	4	,	,	PUNCT
concept-1835	97	5	!	!	PUNCT
concept-1835	98	1	𝑝	𝑝	X
concept-1835	98	2	!	!	PUNCT
concept-1835	98	3	,	,	PUNCT
concept-1835	98	4	!	!	PUNCT
concept-1835	98	5	⋱	⋱	X
concept-1835	99	1	⋯	⋯	X
concept-1835	99	2	⋮	⋮	PROPN
concept-1835	99	3	⋮	⋮	PROPN
concept-1835	99	4	𝑝	𝑝	PROPN
concept-1835	99	5	!	!	PUNCT
concept-1835	99	6	,	,	PUNCT
concept-1835	99	7	!	!	PUNCT
concept-1835	100	1	⋮	⋮	NOUN
concept-1835	100	2	⋯	⋯	X
concept-1835	100	3	⋱	⋱	PUNCT
concept-1835	100	4	⋯	⋯	X
concept-1835	100	5	⋮	⋮	NOUN
concept-1835	100	6	𝑝	𝑝	PROPN
concept-1835	100	7	!	!	PUNCT
concept-1835	100	8	,	,	PUNCT
concept-1835	100	9	!	!	PUNCT
concept-1835	101	1	this	this	DET
concept-1835	101	2	matrix	matrix	NOUN
concept-1835	101	3	represents	represent	VERB
concept-1835	101	4	a	a	DET
concept-1835	101	5	transition	transition	NOUN
concept-1835	101	6	matrix	matrix	NOUN
concept-1835	101	7	that	that	PRON
concept-1835	101	8	states	state	VERB
concept-1835	101	9	the	the	DET
concept-1835	101	10	probabilities	probability	NOUN
concept-1835	101	11	associated	associate	VERB
concept-1835	101	12	with	with	ADP
concept-1835	101	13	traveling	travel	VERB
concept-1835	101	14	from	from	ADP
concept-1835	101	15	exit	exit	NOUN
concept-1835	101	16	i	i	PRON
concept-1835	101	17	to	to	PART
concept-1835	101	18	exit	exit	VERB
concept-1835	101	19	j.	j.	PROPN
concept-1835	101	20	each	each	DET
concept-1835	101	21	row	row	NOUN
concept-1835	101	22	of	of	ADP
concept-1835	101	23	this	this	DET
concept-1835	101	24	matrix	matrix	NOUN
concept-1835	101	25	will	will	AUX
concept-1835	101	26	be	be	AUX
concept-1835	101	27	stochastic	stochastic	ADJ
concept-1835	101	28	(	(	PUNCT
concept-1835	101	29	sum	sum	NOUN
concept-1835	101	30	to	to	ADP
concept-1835	101	31	1	1	NUM
concept-1835	101	32	)	)	PUNCT
concept-1835	101	33	.	.	PUNCT
concept-1835	102	1	another	another	DET
concept-1835	102	2	probability	probability	NOUN
concept-1835	102	3	representing	represent	VERB
concept-1835	102	4	the	the	DET
concept-1835	102	5	relative	relative	ADJ
concept-1835	102	6	volume	volume	NOUN
concept-1835	102	7	of	of	ADP
concept-1835	102	8	traffic	traffic	NOUN
concept-1835	102	9	on	on	ADP
concept-1835	102	10	the	the	DET
concept-1835	102	11	highway	highway	NOUN
concept-1835	102	12	network	network	NOUN
concept-1835	102	13	during	during	ADP
concept-1835	102	14	a	a	DET
concept-1835	102	15	particular	particular	ADJ
concept-1835	102	16	hour	hour	NOUN
concept-1835	102	17	must	must	AUX
concept-1835	102	18	also	also	ADV
concept-1835	102	19	be	be	AUX
concept-1835	102	20	defined	define	VERB
concept-1835	102	21	.	.	PUNCT
concept-1835	103	1	let	let	VERB
concept-1835	103	2	v(t	v(t	PRON
concept-1835	103	3	)	)	PUNCT
concept-1835	103	4	be	be	AUX
concept-1835	103	5	a	a	DET
concept-1835	103	6	function	function	NOUN
concept-1835	103	7	representing	represent	VERB
concept-1835	103	8	the	the	DET
concept-1835	103	9	relative	relative	ADJ
concept-1835	103	10	volume	volume	NOUN
concept-1835	103	11	of	of	ADP
concept-1835	103	12	traffic	traffic	NOUN
concept-1835	103	13	using	use	VERB
concept-1835	103	14	the	the	DET
concept-1835	103	15	network	network	NOUN
concept-1835	103	16	during	during	ADP
concept-1835	103	17	time	time	NOUN
concept-1835	103	18	interval	interval	PROPN
concept-1835	103	19	t	t	PROPN
concept-1835	103	20	,	,	PUNCT
concept-1835	103	21	then	then	ADV
concept-1835	103	22	the	the	DET
concept-1835	103	23	number	number	NOUN
concept-1835	103	24	of	of	ADP
concept-1835	103	25	vehicles	vehicle	NOUN
concept-1835	103	26	leaving	leave	VERB
concept-1835	103	27	any	any	DET
concept-1835	103	28	particular	particular	ADJ
concept-1835	103	29	exit	exit	NOUN
concept-1835	103	30	during	during	ADP
concept-1835	103	31	time	time	NOUN
concept-1835	103	32	interval	interval	NOUN
concept-1835	103	33	t	t	PROPN
concept-1835	103	34	is	be	AUX
concept-1835	103	35	given	give	VERB
concept-1835	103	36	by	by	ADP
concept-1835	103	37	v(t)qi	v(t)qi	NUM
concept-1835	103	38	,	,	PUNCT
concept-1835	103	39	and	and	CCONJ
concept-1835	103	40	the	the	DET
concept-1835	103	41	total	total	ADJ
concept-1835	103	42	number	number	NOUN
concept-1835	103	43	of	of	ADP
concept-1835	103	44	vehicles	vehicle	NOUN
concept-1835	103	45	traveling	travel	VERB
concept-1835	103	46	to	to	AUX
concept-1835	103	47	exit	exit	NOUN
concept-1835	103	48	j	j	PROPN
concept-1835	103	49	is	be	AUX
concept-1835	103	50	given	give	VERB
concept-1835	103	51	by	by	ADP
concept-1835	103	52	:	:	PUNCT
concept-1835	103	53	𝑣	𝑣	DET
concept-1835	103	54	𝑡	𝑡	PROPN
concept-1835	103	55	𝑞!𝑝	𝑞!𝑝	PROPN
concept-1835	103	56	!	!	PROPN
concept-1835	103	57	,	,	PUNCT
concept-1835	103	58	!	!	PUNCT
concept-1835	104	1	+	+	CCONJ
concept-1835	104	2	𝑣	𝑣	DET
concept-1835	104	3	𝑡	𝑡	PRON
concept-1835	104	4	𝑞!𝑝	𝑞!𝑝	PROPN
concept-1835	104	5	!	!	PROPN
concept-1835	104	6	,	,	PUNCT
concept-1835	104	7	!	!	PUNCT
concept-1835	105	1	+	+	CCONJ
concept-1835	105	2	𝑣	𝑣	DET
concept-1835	105	3	𝑡	𝑡	PRON
concept-1835	105	4	𝑞!𝑝	𝑞!𝑝	PROPN
concept-1835	105	5	!	!	PROPN
concept-1835	105	6	,	,	PUNCT
concept-1835	105	7	!	!	PUNCT
concept-1835	106	1	+	+	CCONJ
concept-1835	106	2	 	 	SPACE
concept-1835	106	3	⋯	⋯	VERB
concept-1835	106	4	 	 	SPACE
concept-1835	107	1	+	+	PROPN
concept-1835	108	1	𝑣	𝑣	DET
concept-1835	108	2	𝑡	𝑡	PRON
concept-1835	108	3	𝑞!𝑝	𝑞!𝑝	PROPN
concept-1835	108	4	!	!	PROPN
concept-1835	108	5	,	,	PUNCT
concept-1835	108	6	!	!	PUNCT
concept-1835	109	1	=	=	PUNCT
concept-1835	109	2	𝑣(𝑡	𝑣(𝑡	PROPN
concept-1835	109	3	)	)	PUNCT
concept-1835	109	4	𝑞!𝑝	𝑞!𝑝	PROPN
concept-1835	109	5	!	!	PROPN
concept-1835	109	6	,	,	PUNCT
concept-1835	109	7	!	!	PUNCT
concept-1835	109	8	!	!	PUNCT
concept-1835	109	9	!	!	PUNCT
concept-1835	109	10	!	!	PUNCT
concept-1835	109	11	!	!	PUNCT
concept-1835	110	1	the	the	DET
concept-1835	110	2	other	other	ADJ
concept-1835	110	3	portion	portion	NOUN
concept-1835	110	4	of	of	ADP
concept-1835	110	5	the	the	DET
concept-1835	110	6	new	new	ADJ
concept-1835	110	7	population	population	NOUN
concept-1835	110	8	consists	consist	VERB
concept-1835	110	9	of	of	ADP
concept-1835	110	10	vehicles	vehicle	NOUN
concept-1835	110	11	that	that	PRON
concept-1835	110	12	did	do	AUX
concept-1835	110	13	not	not	PART
concept-1835	110	14	leave	leave	VERB
concept-1835	110	15	their	their	PRON
concept-1835	110	16	position	position	NOUN
concept-1835	110	17	.	.	PUNCT
concept-1835	111	1	since	since	SCONJ
concept-1835	111	2	the	the	DET
concept-1835	111	3	relative	relative	ADJ
concept-1835	111	4	proportion	proportion	NOUN
concept-1835	111	5	of	of	ADP
concept-1835	111	6	vehicles	vehicle	NOUN
concept-1835	111	7	that	that	PRON
concept-1835	111	8	did	do	AUX
concept-1835	111	9	not	not	PART
concept-1835	111	10	travel	travel	VERB
concept-1835	111	11	during	during	ADP
concept-1835	111	12	a	a	DET
concept-1835	111	13	time	time	NOUN
concept-1835	111	14	increment	increment	NOUN
concept-1835	111	15	is	be	AUX
concept-1835	111	16	the	the	DET
concept-1835	111	17	complement	complement	NOUN
concept-1835	111	18	of	of	ADP
concept-1835	111	19	the	the	DET
concept-1835	111	20	proportion	proportion	NOUN
concept-1835	111	21	that	that	PRON
concept-1835	111	22	did	do	AUX
concept-1835	111	23	travel	travel	VERB
concept-1835	111	24	,	,	PUNCT
concept-1835	111	25	the	the	DET
concept-1835	111	26	number	number	NOUN
concept-1835	111	27	of	of	ADP
concept-1835	111	28	vehicles	vehicle	NOUN
concept-1835	111	29	remaining	remain	VERB
concept-1835	111	30	is	be	AUX
concept-1835	111	31	the	the	DET
concept-1835	111	32	complementary	complementary	ADJ
concept-1835	111	33	probability	probability	NOUN
concept-1835	111	34	times	time	NOUN
concept-1835	111	35	the	the	DET
concept-1835	111	36	number	number	NOUN
concept-1835	111	37	of	of	ADP
concept-1835	111	38	vehicles	vehicle	NOUN
concept-1835	111	39	at	at	ADP
concept-1835	111	40	a	a	DET
concept-1835	111	41	particular	particular	ADJ
concept-1835	111	42	destination	destination	NOUN
concept-1835	111	43	exit	exit	NOUN
concept-1835	111	44	,	,	PUNCT
concept-1835	111	45	given	give	VERB
concept-1835	111	46	by	by	ADP
concept-1835	111	47	:	:	PUNCT
concept-1835	111	48	[	[	X
concept-1835	111	49	1	1	NUM
concept-1835	111	50	−	−	PART
concept-1835	111	51	𝑣	𝑣	ADP
concept-1835	111	52	𝑡	𝑡	X
concept-1835	111	53	]	]	X
concept-1835	111	54	𝑞	𝑞	X
concept-1835	111	55	!	!	PUNCT
concept-1835	111	56	combining	combine	VERB
concept-1835	111	57	these	these	DET
concept-1835	111	58	two	two	NUM
concept-1835	111	59	expressions	expression	NOUN
concept-1835	111	60	gives	give	VERB
concept-1835	111	61	the	the	DET
concept-1835	111	62	new	new	ADJ
concept-1835	111	63	population	population	NOUN
concept-1835	111	64	for	for	ADP
concept-1835	111	65	each	each	DET
concept-1835	111	66	exit	exit	NOUN
concept-1835	111	67	:	:	PUNCT
concept-1835	111	68	𝑞(𝒕!𝟏)𝒊	𝑞(𝒕!𝟏)𝒊	X
concept-1835	111	69	=	=	PUNCT
concept-1835	111	70	𝑣	𝑣	ADP
concept-1835	111	71	𝑡	𝑡	PROPN
concept-1835	111	72	𝑞!𝑝	𝑞!𝑝	PROPN
concept-1835	111	73	!	!	PROPN
concept-1835	111	74	,	,	PUNCT
concept-1835	111	75	!	!	PUNCT
concept-1835	111	76	!	!	PUNCT
concept-1835	111	77	!	!	PUNCT
concept-1835	111	78	!	!	PUNCT
concept-1835	111	79	!	!	PUNCT
concept-1835	112	1	+	+	PUNCT
concept-1835	113	1	[	[	X
concept-1835	113	2	1	1	NUM
concept-1835	113	3	−	−	NOUN
concept-1835	113	4	𝑣	𝑣	ADP
concept-1835	113	5	𝑡	𝑡	X
concept-1835	113	6	]	]	X
concept-1835	113	7	𝑞	𝑞	X
concept-1835	113	8	!	!	NOUN
concept-1835	114	1	this	this	DET
concept-1835	114	2	equation	equation	NOUN
concept-1835	114	3	can	can	AUX
concept-1835	114	4	be	be	AUX
concept-1835	114	5	expressed	express	VERB
concept-1835	114	6	using	use	VERB
concept-1835	114	7	matrices	matrix	NOUN
concept-1835	114	8	and	and	CCONJ
concept-1835	114	9	vectors	vector	NOUN
concept-1835	114	10	that	that	PRON
concept-1835	114	11	have	have	AUX
concept-1835	114	12	already	already	ADV
concept-1835	114	13	been	be	AUX
concept-1835	114	14	defined	define	VERB
concept-1835	114	15	:	:	PUNCT
concept-1835	114	16	𝐪𝒕!𝟏	𝐪𝒕!𝟏	NOUN
concept-1835	114	17	=	=	PUNCT
concept-1835	114	18	𝑣	𝑣	PRON
concept-1835	114	19	𝑡	𝑡	NOUN
concept-1835	114	20	𝐪𝒕	𝐪𝒕	ADP
concept-1835	114	21	∙	∙	PROPN
concept-1835	114	22	𝐏	𝐏	PROPN
concept-1835	115	1	+	+	CCONJ
concept-1835	115	2	1	1	NUM
concept-1835	115	3	−	−	NOUN
concept-1835	115	4	𝑣	𝑣	ADP
concept-1835	115	5	𝑡	𝑡	NOUN
concept-1835	115	6	𝐪𝒕	𝐪𝒕	ADP
concept-1835	115	7	this	this	DET
concept-1835	115	8	process	process	NOUN
concept-1835	115	9	of	of	ADP
concept-1835	115	10	finding	find	VERB
concept-1835	115	11	the	the	DET
concept-1835	115	12	next	next	ADJ
concept-1835	115	13	population	population	NOUN
concept-1835	115	14	is	be	AUX
concept-1835	115	15	similar	similar	ADJ
concept-1835	115	16	to	to	ADP
concept-1835	115	17	using	use	VERB
concept-1835	115	18	a	a	DET
concept-1835	115	19	markov	markov	NOUN
concept-1835	115	20	chain	chain	NOUN
concept-1835	115	21	,	,	PUNCT
concept-1835	115	22	except	except	SCONJ
concept-1835	115	23	that	that	SCONJ
concept-1835	115	24	there	there	PRON
concept-1835	115	25	is	be	VERB
concept-1835	115	26	an	an	DET
concept-1835	115	27	extra	extra	ADJ
concept-1835	115	28	term	term	NOUN
concept-1835	115	29	for	for	ADP
concept-1835	115	30	the	the	DET
concept-1835	115	31	proportion	proportion	NOUN
concept-1835	115	32	of	of	ADP
concept-1835	115	33	a	a	DET
concept-1835	115	34	population	population	NOUN
concept-1835	115	35	not	not	PART
concept-1835	115	36	participating	participate	VERB
concept-1835	115	37	in	in	ADP
concept-1835	115	38	the	the	DET
concept-1835	115	39	transition	transition	NOUN
concept-1835	115	40	process	process	NOUN
concept-1835	115	41	.	.	PUNCT
concept-1835	115	42	  	  	SPACE
concept-1835	116	1	traffic	traffic	NOUN
concept-1835	116	2	density	density	NOUN
concept-1835	116	3	since	since	SCONJ
concept-1835	116	4	the	the	DET
concept-1835	116	5	goal	goal	NOUN
concept-1835	116	6	of	of	ADP
concept-1835	116	7	this	this	DET
concept-1835	116	8	model	model	NOUN
concept-1835	116	9	is	be	AUX
concept-1835	116	10	to	to	PART
concept-1835	116	11	predict	predict	VERB
concept-1835	116	12	where	where	SCONJ
concept-1835	116	13	and	and	CCONJ
concept-1835	116	14	when	when	SCONJ
concept-1835	116	15	heavy	heavy	ADJ
concept-1835	116	16	traffic	traffic	NOUN
concept-1835	116	17	occurs	occur	VERB
concept-1835	116	18	,	,	PUNCT
concept-1835	116	19	it	it	PRON
concept-1835	116	20	is	be	AUX
concept-1835	116	21	necessary	necessary	ADJ
concept-1835	116	22	to	to	PART
concept-1835	116	23	determine	determine	VERB
concept-1835	116	24	how	how	SCONJ
concept-1835	116	25	many	many	ADJ
concept-1835	116	26	vehicles	vehicle	NOUN
concept-1835	116	27	are	be	AUX
concept-1835	116	28	traveling	travel	VERB
concept-1835	116	29	on	on	ADP
concept-1835	116	30	each	each	DET
concept-1835	116	31	segment	segment	NOUN
concept-1835	116	32	of	of	ADP
concept-1835	116	33	the	the	DET
concept-1835	116	34	highway	highway	NOUN
concept-1835	116	35	system	system	NOUN
concept-1835	116	36	during	during	ADP
concept-1835	116	37	each	each	DET
concept-1835	116	38	time	time	NOUN
concept-1835	116	39	interval	interval	NOUN
concept-1835	116	40	.	.	PUNCT
concept-1835	117	1	in	in	ADP
concept-1835	117	2	order	order	NOUN
concept-1835	117	3	to	to	PART
concept-1835	117	4	determine	determine	VERB
concept-1835	117	5	how	how	SCONJ
concept-1835	117	6	many	many	ADJ
concept-1835	117	7	vehicles	vehicle	NOUN
concept-1835	117	8	are	be	AUX
concept-1835	117	9	traveling	travel	VERB
concept-1835	117	10	on	on	ADP
concept-1835	117	11	a	a	DET
concept-1835	117	12	segment	segment	NOUN
concept-1835	117	13	,	,	PUNCT
concept-1835	117	14	we	we	PRON
concept-1835	117	15	must	must	AUX
concept-1835	117	16	determine	determine	VERB
concept-1835	117	17	which	which	DET
concept-1835	117	18	routes	route	NOUN
concept-1835	117	19	pass	pass	VERB
concept-1835	117	20	through	through	ADP
concept-1835	117	21	each	each	DET
concept-1835	117	22	highway	highway	NOUN
concept-1835	117	23	segment	segment	NOUN
concept-1835	117	24	.	.	PUNCT
concept-1835	118	1	a	a	DET
concept-1835	118	2	complication	complication	NOUN
concept-1835	118	3	occurs	occur	VERB
concept-1835	118	4	at	at	ADP
concept-1835	118	5	this	this	DET
concept-1835	118	6	point	point	NOUN
concept-1835	118	7	in	in	ADP
concept-1835	118	8	the	the	DET
concept-1835	118	9	process	process	NOUN
concept-1835	118	10	since	since	SCONJ
concept-1835	118	11	there	there	PRON
concept-1835	118	12	are	be	VERB
concept-1835	118	13	several	several	ADJ
concept-1835	118	14	ways	way	NOUN
concept-1835	118	15	to	to	PART
concept-1835	118	16	go	go	VERB
concept-1835	118	17	from	from	ADP
concept-1835	118	18	one	one	NUM
concept-1835	118	19	exit	exit	NOUN
concept-1835	118	20	to	to	ADP
concept-1835	118	21	another	another	PRON
concept-1835	118	22	.	.	PUNCT
concept-1835	119	1	to	to	PART
concept-1835	119	2	simplify	simplify	VERB
concept-1835	119	3	this	this	PRON
concept-1835	119	4	,	,	PUNCT
concept-1835	119	5	an	an	DET
concept-1835	119	6	assumption	assumption	NOUN
concept-1835	119	7	is	be	AUX
concept-1835	119	8	made	make	VERB
concept-1835	119	9	that	that	SCONJ
concept-1835	119	10	vehicles	vehicle	NOUN
concept-1835	119	11	will	will	AUX
concept-1835	119	12	follow	follow	VERB
concept-1835	119	13	the	the	DET
concept-1835	119	14	shortest	short	ADJ
concept-1835	119	15	path	path	NOUN
concept-1835	119	16	between	between	ADP
concept-1835	119	17	two	two	NUM
concept-1835	119	18	exits	exit	NOUN
concept-1835	119	19	.	.	PUNCT
concept-1835	120	1	it	it	PRON
concept-1835	120	2	can	can	AUX
concept-1835	120	3	be	be	AUX
concept-1835	120	4	argued	argue	VERB
concept-1835	120	5	that	that	SCONJ
concept-1835	120	6	this	this	DET
concept-1835	120	7	assumption	assumption	NOUN
concept-1835	120	8	is	be	AUX
concept-1835	120	9	not	not	PART
concept-1835	120	10	completely	completely	ADV
concept-1835	120	11	valid	valid	ADJ
concept-1835	120	12	and	and	CCONJ
concept-1835	120	13	that	that	SCONJ
concept-1835	120	14	other	other	ADJ
concept-1835	120	15	ways	way	NOUN
concept-1835	120	16	to	to	PART
concept-1835	120	17	determine	determine	VERB
concept-1835	120	18	a	a	DET
concept-1835	120	19	path	path	NOUN
concept-1835	120	20	may	may	AUX
concept-1835	120	21	yield	yield	VERB
concept-1835	120	22	a	a	DET
concept-1835	120	23	more	more	ADV
concept-1835	120	24	precise	precise	ADJ
concept-1835	120	25	model	model	NOUN
concept-1835	120	26	.	.	PUNCT
concept-1835	121	1	this	this	DET
concept-1835	121	2	paper	paper	NOUN
concept-1835	121	3	does	do	AUX
concept-1835	121	4	not	not	PART
concept-1835	121	5	consider	consider	VERB
concept-1835	121	6	other	other	ADJ
concept-1835	121	7	path	path	NOUN
concept-1835	121	8	-	-	PUNCT
concept-1835	121	9	determining	determine	VERB
concept-1835	121	10	methods	method	NOUN
concept-1835	121	11	(	(	PUNCT
concept-1835	121	12	lim	lim	PROPN
concept-1835	121	13	,	,	PUNCT
concept-1835	121	14	balakrishnan	balakrishnan	PROPN
concept-1835	121	15	,	,	PUNCT
concept-1835	121	16	gifford	gifford	PROPN
concept-1835	121	17	,	,	PUNCT
concept-1835	121	18	madden	madden	PROPN
concept-1835	121	19	,	,	PUNCT
concept-1835	121	20	&	&	CCONJ
concept-1835	121	21	rus	rus	PROPN
concept-1835	121	22	,	,	PUNCT
concept-1835	121	23	2011	2011	NUM
concept-1835	121	24	)	)	PUNCT
concept-1835	121	25	,	,	PUNCT
concept-1835	121	26	yet	yet	CCONJ
concept-1835	121	27	nothing	nothing	PRON
concept-1835	121	28	in	in	ADP
concept-1835	121	29	the	the	DET
concept-1835	121	30	general	general	ADJ
concept-1835	121	31	framework	framework	NOUN
concept-1835	121	32	of	of	ADP
concept-1835	121	33	this	this	DET
concept-1835	121	34	model	model	NOUN
concept-1835	121	35	prohibits	prohibit	NOUN
concept-1835	121	36	using	use	VERB
concept-1835	121	37	other	other	ADJ
concept-1835	121	38	methods	method	NOUN
concept-1835	121	39	.	.	PUNCT
concept-1835	122	1	an	an	DET
concept-1835	122	2	algorithm	algorithm	NOUN
concept-1835	122	3	for	for	ADP
concept-1835	122	4	finding	find	VERB
concept-1835	122	5	the	the	DET
concept-1835	122	6	shortest	short	ADJ
concept-1835	122	7	paths	path	NOUN
concept-1835	122	8	on	on	ADP
concept-1835	122	9	a	a	DET
concept-1835	122	10	graph	graph	NOUN
concept-1835	122	11	between	between	ADP
concept-1835	122	12	two	two	NUM
concept-1835	122	13	vertices	vertex	NOUN
concept-1835	122	14	was	be	AUX
concept-1835	122	15	developed	develop	VERB
concept-1835	122	16	by	by	ADP
concept-1835	122	17	ew	ew	NOUN
concept-1835	122	18	dijkstra	dijkstra	PROPN
concept-1835	122	19	and	and	CCONJ
concept-1835	122	20	will	will	AUX
concept-1835	122	21	be	be	AUX
concept-1835	122	22	used	use	VERB
concept-1835	122	23	in	in	ADP
concept-1835	122	24	this	this	DET
concept-1835	122	25	model	model	NOUN
concept-1835	122	26	.	.	PUNCT
concept-1835	123	1	the	the	DET
concept-1835	123	2	number	number	NOUN
concept-1835	123	3	of	of	ADP
concept-1835	123	4	vehicles	vehicle	NOUN
concept-1835	123	5	traveling	travel	VERB
concept-1835	123	6	on	on	ADP
concept-1835	123	7	a	a	DET
concept-1835	123	8	particular	particular	ADJ
concept-1835	123	9	route	route	NOUN
concept-1835	123	10	from	from	ADP
concept-1835	123	11	exit	exit	NOUN
concept-1835	123	12	i	i	PRON
concept-1835	123	13	to	to	PART
concept-1835	123	14	exit	exit	VERB
concept-1835	123	15	j	j	PROPN
concept-1835	123	16	was	be	AUX
concept-1835	123	17	determined	determine	VERB
concept-1835	123	18	above	above	ADV
concept-1835	123	19	as	as	ADP
concept-1835	123	20	v(t)qipi	v(t)qipi	NOUN
concept-1835	123	21	,	,	PUNCT
concept-1835	123	22	j.	j.	PROPN
concept-1835	123	23	this	this	DET
concept-1835	123	24	value	value	NOUN
concept-1835	123	25	can	can	AUX
concept-1835	123	26	be	be	AUX
concept-1835	123	27	determined	determine	VERB
concept-1835	123	28	for	for	ADP
concept-1835	123	29	each	each	DET
concept-1835	123	30	origindestination	origindestination	NOUN
concept-1835	123	31	pair	pair	NOUN
concept-1835	123	32	and	and	CCONJ
concept-1835	123	33	a	a	DET
concept-1835	123	34	matrix	matrix	NOUN
concept-1835	123	35	constructed	construct	VERB
concept-1835	123	36	from	from	ADP
concept-1835	123	37	them	they	PRON
concept-1835	123	38	:	:	PUNCT
concept-1835	123	39	𝐑	𝐑	NOUN
concept-1835	123	40	=	=	PUNCT
concept-1835	123	41	𝑣(𝑡)𝑞!𝑝	𝑣(𝑡)𝑞!𝑝	X
concept-1835	123	42	!	!	PUNCT
concept-1835	123	43	,	,	PUNCT
concept-1835	123	44	!	!	PUNCT
concept-1835	124	1	𝑣(𝑡)𝑞!𝑝	𝑣(𝑡)𝑞!𝑝	PROPN
concept-1835	124	2	!	!	PUNCT
concept-1835	124	3	,	,	PUNCT
concept-1835	124	4	!	!	PUNCT
concept-1835	125	1	⋯	⋯	X
concept-1835	125	2	𝑣(𝑡)𝑞!𝑝	𝑣(𝑡)𝑞!𝑝	PROPN
concept-1835	125	3	!	!	PUNCT
concept-1835	125	4	,	,	PUNCT
concept-1835	125	5	!	!	PUNCT
concept-1835	126	1	𝑣(𝑡)𝑞!𝑝	𝑣(𝑡)𝑞!𝑝	PROPN
concept-1835	126	2	!	!	PUNCT
concept-1835	126	3	,	,	PUNCT
concept-1835	126	4	!	!	PUNCT
concept-1835	126	5	⋱	⋱	X
concept-1835	127	1	⋯	⋯	X
concept-1835	127	2	⋮	⋮	NOUN
concept-1835	127	3	⋮	⋮	NOUN
concept-1835	127	4	𝑣(𝑡)𝑞!𝑝	𝑣(𝑡)𝑞!𝑝	PROPN
concept-1835	127	5	!	!	PUNCT
concept-1835	127	6	,	,	PUNCT
concept-1835	127	7	!	!	PUNCT
concept-1835	128	1	⋮	⋮	NOUN
concept-1835	128	2	⋯	⋯	X
concept-1835	128	3	⋱	⋱	PUNCT
concept-1835	128	4	⋯	⋯	X
concept-1835	128	5	⋮	⋮	NOUN
concept-1835	128	6	𝑣(𝑡)𝑞!𝑝	𝑣(𝑡)𝑞!𝑝	PROPN
concept-1835	128	7	!	!	PUNCT
concept-1835	128	8	,	,	PUNCT
concept-1835	128	9	!	!	PUNCT
concept-1835	129	1	=	=	PUNCT
concept-1835	129	2	𝑟	𝑟	X
concept-1835	129	3	!	!	NOUN
concept-1835	129	4	,	,	PUNCT
concept-1835	129	5	!	!	PUNCT
concept-1835	130	1	𝑟	𝑟	X
concept-1835	130	2	!	!	PUNCT
concept-1835	130	3	,	,	PUNCT
concept-1835	130	4	!	!	PUNCT
concept-1835	131	1	⋯	⋯	ADP
concept-1835	132	1	𝑟	𝑟	X
concept-1835	132	2	!	!	PUNCT
concept-1835	132	3	,	,	PUNCT
concept-1835	132	4	!	!	PUNCT
concept-1835	133	1	𝑟	𝑟	X
concept-1835	133	2	!	!	NOUN
concept-1835	133	3	,	,	PUNCT
concept-1835	133	4	!	!	PUNCT
concept-1835	134	1	⋱	⋱	X
concept-1835	135	1	⋯	⋯	X
concept-1835	135	2	⋮	⋮	NOUN
concept-1835	135	3	⋮	⋮	NOUN
concept-1835	135	4	𝑟	𝑟	NOUN
concept-1835	135	5	!	!	PUNCT
concept-1835	135	6	,	,	PUNCT
concept-1835	135	7	!	!	PUNCT
concept-1835	136	1	⋮	⋮	NOUN
concept-1835	136	2	⋯	⋯	X
concept-1835	136	3	⋱	⋱	PUNCT
concept-1835	136	4	⋯	⋯	X
concept-1835	136	5	⋮	⋮	NOUN
concept-1835	136	6	𝑟	𝑟	NOUN
concept-1835	136	7	!	!	PUNCT
concept-1835	136	8	,	,	PUNCT
concept-1835	136	9	!	!	PUNCT
concept-1835	137	1	we	we	PRON
concept-1835	137	2	can	can	AUX
concept-1835	137	3	construct	construct	VERB
concept-1835	137	4	an	an	DET
concept-1835	137	5	(	(	PUNCT
concept-1835	137	6	m	m	PROPN
concept-1835	137	7	×	×	PROPN
concept-1835	137	8	m	m	NOUN
concept-1835	137	9	)	)	PUNCT
concept-1835	137	10	square	square	ADJ
concept-1835	137	11	matrix	matrix	NOUN
concept-1835	137	12	q	q	PUNCT
concept-1835	137	13	where	where	SCONJ
concept-1835	137	14	each	each	DET
concept-1835	137	15	row	row	NOUN
concept-1835	137	16	is	be	AUX
concept-1835	137	17	q	q	ADJ
concept-1835	137	18	:	:	PUNCT
concept-1835	137	19	𝐐	𝐐	NOUN
concept-1835	137	20	=	=	SYM
concept-1835	137	21	𝑞	𝑞	PROPN
concept-1835	137	22	!	!	PUNCT
concept-1835	138	1	𝑞	𝑞	PROPN
concept-1835	138	2	!	!	PROPN
concept-1835	138	3	⋯	⋯	PROPN
concept-1835	138	4	𝑞	𝑞	PROPN
concept-1835	138	5	!	!	PUNCT
concept-1835	138	6	𝑞	𝑞	PROPN
concept-1835	138	7	!	!	PUNCT
concept-1835	138	8	𝑞	𝑞	PROPN
concept-1835	138	9	!	!	PROPN
concept-1835	138	10	⋯	⋯	PROPN
concept-1835	138	11	𝑞	𝑞	PROPN
concept-1835	138	12	!	!	PROPN
concept-1835	138	13	⋮	⋮	PROPN
concept-1835	138	14	𝑞	𝑞	PROPN
concept-1835	138	15	!	!	PROPN
concept-1835	138	16	⋮	⋮	NOUN
concept-1835	138	17	⋯	⋯	X
concept-1835	138	18	⋱	⋱	PUNCT
concept-1835	138	19	⋯	⋯	X
concept-1835	138	20	⋮	⋮	NOUN
concept-1835	138	21	𝑞	𝑞	PROPN
concept-1835	138	22	!	!	PROPN
concept-1835	139	1	then	then	ADV
concept-1835	139	2	the	the	DET
concept-1835	139	3	route	route	NOUN
concept-1835	139	4	matrix	matrix	NOUN
concept-1835	139	5	r	r	NOUN
concept-1835	139	6	can	can	AUX
concept-1835	139	7	be	be	AUX
concept-1835	139	8	rewritten	rewrite	VERB
concept-1835	139	9	using	use	VERB
concept-1835	139	10	matrices	matrix	NOUN
concept-1835	139	11	:	:	PUNCT
concept-1835	139	12	𝐑	𝐑	NOUN
concept-1835	139	13	=	=	SYM
concept-1835	139	14	𝑣	𝑣	ADP
concept-1835	139	15	𝑡	𝑡	PROPN
concept-1835	139	16	𝐏⊙	𝐏⊙	PROPN
concept-1835	139	17	𝐐𝐓	𝐐𝐓	VERB
concept-1835	139	18	where	where	SCONJ
concept-1835	139	19	the	the	DET
concept-1835	139	20	symbol	symbol	NOUN
concept-1835	139	21	⊙	⊙	PROPN
concept-1835	139	22	represents	represent	VERB
concept-1835	139	23	element	element	NOUN
concept-1835	139	24	by	by	ADP
concept-1835	139	25	element	element	ADJ
concept-1835	139	26	multiplication	multiplication	NOUN
concept-1835	139	27	of	of	ADP
concept-1835	139	28	the	the	DET
concept-1835	139	29	matrices	matrix	NOUN
concept-1835	139	30	.	.	PUNCT
concept-1835	140	1	the	the	DET
concept-1835	140	2	transpose	transpose	NOUN
concept-1835	140	3	of	of	ADP
concept-1835	140	4	q	q	PROPN
concept-1835	140	5	is	be	AUX
concept-1835	140	6	needed	need	VERB
concept-1835	140	7	since	since	SCONJ
concept-1835	140	8	each	each	DET
concept-1835	140	9	row	row	NOUN
concept-1835	140	10	of	of	ADP
concept-1835	140	11	r	r	NOUN
concept-1835	140	12	is	be	AUX
concept-1835	140	13	concerned	concern	VERB
concept-1835	140	14	with	with	ADP
concept-1835	140	15	a	a	DET
concept-1835	140	16	single	single	ADJ
concept-1835	140	17	origin	origin	NOUN
concept-1835	140	18	exit	exit	NOUN
concept-1835	140	19	.	.	PUNCT
concept-1835	140	20	  	  	SPACE
concept-1835	141	1	this	this	DET
concept-1835	141	2	matrix	matrix	NOUN
concept-1835	141	3	r	r	NOUN
concept-1835	141	4	shows	show	VERB
concept-1835	141	5	how	how	SCONJ
concept-1835	141	6	many	many	ADJ
concept-1835	141	7	vehicles	vehicle	NOUN
concept-1835	141	8	are	be	AUX
concept-1835	141	9	traveling	travel	VERB
concept-1835	141	10	on	on	ADP
concept-1835	141	11	a	a	DET
concept-1835	141	12	particular	particular	ADJ
concept-1835	141	13	route	route	NOUN
concept-1835	141	14	,	,	PUNCT
concept-1835	141	15	but	but	CCONJ
concept-1835	141	16	we	we	PRON
concept-1835	141	17	are	be	AUX
concept-1835	141	18	interested	interested	ADJ
concept-1835	141	19	in	in	ADP
concept-1835	141	20	how	how	SCONJ
concept-1835	141	21	many	many	ADJ
concept-1835	141	22	vehicles	vehicle	NOUN
concept-1835	141	23	are	be	AUX
concept-1835	141	24	traveling	travel	VERB
concept-1835	141	25	on	on	ADP
concept-1835	141	26	a	a	DET
concept-1835	141	27	particular	particular	ADJ
concept-1835	141	28	segment	segment	NOUN
concept-1835	141	29	of	of	ADP
concept-1835	141	30	highway	highway	NOUN
concept-1835	141	31	.	.	PUNCT
concept-1835	142	1	this	this	PRON
concept-1835	142	2	can	can	AUX
concept-1835	142	3	be	be	AUX
concept-1835	142	4	determined	determine	VERB
concept-1835	142	5	by	by	ADP
concept-1835	142	6	taking	take	VERB
concept-1835	142	7	the	the	DET
concept-1835	142	8	sum	sum	NOUN
concept-1835	142	9	of	of	ADP
concept-1835	142	10	all	all	DET
concept-1835	142	11	vehicles	vehicle	NOUN
concept-1835	142	12	on	on	ADP
concept-1835	142	13	all	all	DET
concept-1835	142	14	routes	route	NOUN
concept-1835	142	15	that	that	PRON
concept-1835	142	16	pass	pass	VERB
concept-1835	142	17	through	through	ADP
concept-1835	142	18	this	this	DET
concept-1835	142	19	segment	segment	NOUN
concept-1835	142	20	.	.	PUNCT
concept-1835	143	1	a	a	DET
concept-1835	143	2	matrix	matrix	NOUN
concept-1835	143	3	c	c	NOUN
concept-1835	143	4	can	can	AUX
concept-1835	143	5	be	be	AUX
concept-1835	143	6	constructed	construct	VERB
concept-1835	143	7	to	to	PART
concept-1835	143	8	count	count	VERB
concept-1835	143	9	the	the	DET
concept-1835	143	10	total	total	ADJ
concept-1835	143	11	number	number	NOUN
concept-1835	143	12	of	of	ADP
concept-1835	143	13	vehicles	vehicle	NOUN
concept-1835	143	14	passing	pass	VERB
concept-1835	143	15	through	through	ADP
concept-1835	143	16	each	each	DET
concept-1835	143	17	segment	segment	NOUN
concept-1835	143	18	.	.	PUNCT
concept-1835	144	1	an	an	DET
concept-1835	144	2	element	element	NOUN
concept-1835	144	3	of	of	ADP
concept-1835	144	4	c	c	NOUN
concept-1835	144	5	can	can	AUX
concept-1835	144	6	be	be	AUX
concept-1835	144	7	described	describe	VERB
concept-1835	144	8	:	:	PUNCT
concept-1835	144	9	𝑐	𝑐	X
concept-1835	144	10	!	!	PUNCT
concept-1835	144	11	,	,	PUNCT
concept-1835	144	12	!	!	PUNCT
concept-1835	145	1	=	=	PUNCT
concept-1835	145	2	𝑟	𝑟	X
concept-1835	145	3	!	!	NOUN
concept-1835	145	4	,	,	PUNCT
concept-1835	145	5	!	!	PUNCT
concept-1835	145	6	!	!	PUNCT
concept-1835	145	7	!	!	PUNCT
concept-1835	145	8	!	!	PUNCT
concept-1835	145	9	!	!	PUNCT
concept-1835	145	10	!	!	PUNCT
concept-1835	145	11	!	!	PUNCT
concept-1835	145	12	!	!	PUNCT
concept-1835	145	13	!	!	PUNCT
concept-1835	145	14	!	!	PUNCT
concept-1835	145	15	!	!	PUNCT
concept-1835	145	16	  	  	SPACE
concept-1835	146	1	,	,	PUNCT
concept-1835	146	2	for	for	ADP
concept-1835	146	3	 	 	SPACE
concept-1835	146	4	all	all	DET
concept-1835	146	5	 	 	SPACE
concept-1835	146	6	𝑟	𝑟	NOUN
concept-1835	146	7	!	!	PUNCT
concept-1835	146	8	,	,	PUNCT
concept-1835	146	9	!	!	PUNCT
concept-1835	146	10	 	 	SPACE
concept-1835	146	11	which	which	PRON
concept-1835	146	12	 	 	SPACE
concept-1835	146	13	are	be	AUX
concept-1835	146	14	 	 	SPACE
concept-1835	146	15	shown	show	VERB
concept-1835	146	16	 	 	SPACE
concept-1835	146	17	to	to	PART
concept-1835	146	18	 	 	SPACE
concept-1835	146	19	pass	pass	VERB
concept-1835	146	20	 	 	SPACE
concept-1835	146	21	through	through	ADP
concept-1835	146	22	 	 	SPACE
concept-1835	146	23	segment	segment	NOUN
concept-1835	146	24	 	 	SPACE
concept-1835	146	25	(	(	PUNCT
concept-1835	146	26	𝑖	𝑖	PROPN
concept-1835	146	27	,	,	PUNCT
concept-1835	146	28	𝑗	𝑗	NOUN
concept-1835	146	29	)	)	PUNCT
concept-1835	146	30	  	  	SPACE
concept-1835	146	31	the	the	DET
concept-1835	146	32	routes	route	NOUN
concept-1835	146	33	rx	rx	VERB
concept-1835	146	34	,	,	PUNCT
concept-1835	146	35	y	y	PROPN
concept-1835	146	36	that	that	PRON
concept-1835	146	37	pass	pass	VERB
concept-1835	146	38	through	through	ADP
concept-1835	146	39	segment	segment	NOUN
concept-1835	146	40	(	(	PUNCT
concept-1835	146	41	i	i	PROPN
concept-1835	146	42	,	,	PUNCT
concept-1835	146	43	j	j	PROPN
concept-1835	146	44	)	)	PUNCT
concept-1835	146	45	are	be	AUX
concept-1835	146	46	determined	determine	VERB
concept-1835	146	47	by	by	ADP
concept-1835	146	48	application	application	NOUN
concept-1835	146	49	of	of	ADP
concept-1835	146	50	dijkstra	dijkstra	PROPN
concept-1835	146	51	’s	’s	PART
concept-1835	146	52	algorithm	algorithm	NOUN
concept-1835	146	53	(	(	PUNCT
concept-1835	146	54	dijkstra	dijkstra	PROPN
concept-1835	146	55	,	,	PUNCT
concept-1835	146	56	1959	1959	NUM
concept-1835	146	57	)	)	PUNCT
concept-1835	146	58	to	to	ADP
concept-1835	146	59	the	the	DET
concept-1835	146	60	matrix	matrix	NOUN
concept-1835	147	1	d	d	NOUN
concept-1835	147	2	,	,	PUNCT
concept-1835	147	3	which	which	PRON
concept-1835	147	4	is	be	AUX
concept-1835	147	5	the	the	DET
concept-1835	147	6	matrix	matrix	NOUN
concept-1835	147	7	that	that	PRON
concept-1835	147	8	shows	show	VERB
concept-1835	147	9	the	the	DET
concept-1835	147	10	distance	distance	NOUN
concept-1835	147	11	between	between	ADP
concept-1835	147	12	exits	exit	NOUN
concept-1835	147	13	.	.	PUNCT
concept-1835	148	1	from	from	ADP
concept-1835	148	2	the	the	DET
concept-1835	148	3	example	example	NOUN
concept-1835	148	4	above	above	ADP
concept-1835	148	5	:	:	PUNCT
concept-1835	148	6	𝑐	𝑐	X
concept-1835	148	7	!	!	PUNCT
concept-1835	148	8	,	,	PUNCT
concept-1835	148	9	!	!	PUNCT
concept-1835	149	1	=	=	PUNCT
concept-1835	149	2	𝑟	𝑟	X
concept-1835	149	3	!	!	NOUN
concept-1835	149	4	,	,	PUNCT
concept-1835	149	5	!	!	PUNCT
concept-1835	150	1	+	+	CCONJ
concept-1835	151	1	𝑟	𝑟	X
concept-1835	151	2	!	!	NOUN
concept-1835	151	3	,	,	PUNCT
concept-1835	151	4	!	!	PUNCT
concept-1835	152	1	+	+	CCONJ
concept-1835	153	1	𝑟	𝑟	X
concept-1835	153	2	!	!	NOUN
concept-1835	153	3	,	,	PUNCT
concept-1835	153	4	!	!	PUNCT
concept-1835	154	1	+	+	CCONJ
concept-1835	155	1	𝑟	𝑟	X
concept-1835	155	2	!	!	NOUN
concept-1835	155	3	,	,	PUNCT
concept-1835	155	4	!	!	PUNCT
concept-1835	156	1	heavy	heavy	ADJ
concept-1835	156	2	traffic	traffic	NOUN
concept-1835	156	3	occurs	occur	VERB
concept-1835	156	4	in	in	ADP
concept-1835	156	5	areas	area	NOUN
concept-1835	156	6	in	in	ADP
concept-1835	156	7	which	which	PRON
concept-1835	156	8	the	the	DET
concept-1835	156	9	traffic	traffic	NOUN
concept-1835	156	10	density	density	NOUN
concept-1835	156	11	passes	pass	VERB
concept-1835	156	12	above	above	ADP
concept-1835	156	13	a	a	DET
concept-1835	156	14	certain	certain	ADJ
concept-1835	156	15	limit	limit	NOUN
concept-1835	156	16	,	,	PUNCT
concept-1835	156	17	so	so	SCONJ
concept-1835	156	18	it	it	PRON
concept-1835	156	19	is	be	AUX
concept-1835	156	20	necessary	necessary	ADJ
concept-1835	156	21	to	to	PART
concept-1835	156	22	determine	determine	VERB
concept-1835	156	23	the	the	DET
concept-1835	156	24	density	density	NOUN
concept-1835	156	25	for	for	ADP
concept-1835	156	26	each	each	DET
concept-1835	156	27	section	section	NOUN
concept-1835	156	28	of	of	ADP
concept-1835	156	29	highway	highway	NOUN
concept-1835	156	30	.	.	PUNCT
concept-1835	157	1	since	since	SCONJ
concept-1835	157	2	the	the	DET
concept-1835	157	3	number	number	NOUN
concept-1835	157	4	of	of	ADP
concept-1835	157	5	vehicles	vehicle	NOUN
concept-1835	157	6	per	per	ADP
concept-1835	157	7	hour	hour	NOUN
concept-1835	157	8	traveling	travel	VERB
concept-1835	157	9	on	on	ADP
concept-1835	157	10	a	a	DET
concept-1835	157	11	particular	particular	ADJ
concept-1835	157	12	segment	segment	NOUN
concept-1835	157	13	is	be	AUX
concept-1835	157	14	given	give	VERB
concept-1835	157	15	by	by	ADP
concept-1835	157	16	ci	ci	PROPN
concept-1835	157	17	,	,	PUNCT
concept-1835	157	18	j	j	PROPN
concept-1835	157	19	,	,	PUNCT
concept-1835	157	20	the	the	DET
concept-1835	157	21	density	density	NOUN
concept-1835	157	22	(	(	PUNCT
concept-1835	157	23	vehicles	vehicle	NOUN
concept-1835	157	24	per	per	ADP
concept-1835	157	25	mile	mile	NOUN
concept-1835	157	26	lane	lane	NOUN
concept-1835	157	27	)	)	PUNCT
concept-1835	157	28	can	can	AUX
concept-1835	157	29	be	be	AUX
concept-1835	157	30	determined	determine	VERB
concept-1835	157	31	from	from	ADP
concept-1835	157	32	:	:	PUNCT
concept-1835	157	33	𝜌	𝜌	X
concept-1835	157	34	=	=	SYM
concept-1835	157	35	𝑐	𝑐	NOUN
concept-1835	157	36	!	!	PUNCT
concept-1835	157	37	,	,	PUNCT
concept-1835	157	38	!	!	PUNCT
concept-1835	158	1	𝑠	𝑠	PROPN
concept-1835	159	1	∙	∙	PROPN
concept-1835	159	2	𝑙	𝑙	PROPN
concept-1835	159	3	!	!	PUNCT
concept-1835	159	4	,	,	PUNCT
concept-1835	159	5	!	!	PUNCT
concept-1835	160	1	,	,	PUNCT
concept-1835	160	2	where	where	SCONJ
concept-1835	160	3	s	s	NOUN
concept-1835	160	4	is	be	AUX
concept-1835	160	5	the	the	DET
concept-1835	160	6	average	average	ADJ
concept-1835	160	7	speed	speed	NOUN
concept-1835	160	8	of	of	ADP
concept-1835	160	9	vehicles	vehicle	NOUN
concept-1835	160	10	in	in	ADP
concept-1835	160	11	miles	mile	NOUN
concept-1835	160	12	per	per	ADP
concept-1835	160	13	hour	hour	NOUN
concept-1835	160	14	and	and	CCONJ
concept-1835	160	15	li	li	PROPN
concept-1835	160	16	,	,	PUNCT
concept-1835	160	17	j	j	PROPN
concept-1835	160	18	is	be	AUX
concept-1835	160	19	the	the	DET
concept-1835	160	20	number	number	NOUN
concept-1835	160	21	of	of	ADP
concept-1835	160	22	lanes	lane	NOUN
concept-1835	160	23	from	from	ADP
concept-1835	160	24	the	the	DET
concept-1835	160	25	matrix	matrix	NOUN
concept-1835	160	26	l	l	NOUN
concept-1835	160	27	on	on	ADP
concept-1835	160	28	segment	segment	NOUN
concept-1835	160	29	(	(	PUNCT
concept-1835	160	30	i	i	PROPN
concept-1835	160	31	,	,	PUNCT
concept-1835	160	32	j	j	PROPN
concept-1835	160	33	)	)	PUNCT
concept-1835	160	34	.	.	PUNCT
concept-1835	161	1	this	this	DET
concept-1835	161	2	density	density	NOUN
concept-1835	161	3	can	can	AUX
concept-1835	161	4	be	be	AUX
concept-1835	161	5	compared	compare	VERB
concept-1835	161	6	to	to	ADP
concept-1835	161	7	typical	typical	ADJ
concept-1835	161	8	densities	density	NOUN
concept-1835	161	9	that	that	PRON
concept-1835	161	10	occur	occur	VERB
concept-1835	161	11	during	during	ADP
concept-1835	161	12	heavy	heavy	ADJ
concept-1835	161	13	traffic	traffic	NOUN
concept-1835	161	14	to	to	PART
concept-1835	161	15	yield	yield	VERB
concept-1835	161	16	a	a	DET
concept-1835	161	17	prediction	prediction	NOUN
concept-1835	161	18	about	about	ADP
concept-1835	161	19	what	what	PRON
concept-1835	161	20	the	the	DET
concept-1835	161	21	traffic	traffic	NOUN
concept-1835	161	22	flow	flow	NOUN
concept-1835	161	23	should	should	AUX
concept-1835	161	24	be	be	AUX
concept-1835	161	25	like	like	ADP
concept-1835	161	26	on	on	ADP
concept-1835	161	27	this	this	DET
concept-1835	161	28	segment	segment	NOUN
concept-1835	161	29	.	.	PUNCT
concept-1835	162	1	hypothetical	hypothetical	ADJ
concept-1835	162	2	example	example	NOUN
concept-1835	162	3	of	of	ADP
concept-1835	162	4	the	the	DET
concept-1835	162	5	model	model	NOUN
concept-1835	162	6	going	go	VERB
concept-1835	162	7	back	back	ADV
concept-1835	162	8	to	to	ADP
concept-1835	162	9	the	the	DET
concept-1835	162	10	example	example	NOUN
concept-1835	162	11	from	from	ADP
concept-1835	162	12	above	above	ADV
concept-1835	162	13	,	,	PUNCT
concept-1835	162	14	let	let	VERB
concept-1835	162	15	us	we	PRON
concept-1835	162	16	define	define	VERB
concept-1835	162	17	a	a	DET
concept-1835	162	18	population	population	NOUN
concept-1835	162	19	vector	vector	NOUN
concept-1835	162	20	q	q	NOUN
concept-1835	162	21	=	=	SYM
concept-1835	162	22	(	(	PUNCT
concept-1835	162	23	2000,3000,2500,4000,5000,3500,4500	2000,3000,2500,4000,5000,3500,4500	NUM
concept-1835	162	24	)	)	PUNCT
concept-1835	162	25	.	.	PUNCT
concept-1835	163	1	the	the	DET
concept-1835	163	2	matrix	matrix	NOUN
concept-1835	163	3	q	q	NOUN
concept-1835	163	4	is	be	AUX
concept-1835	163	5	:	:	PUNCT
concept-1835	163	6	  	  	SPACE
concept-1835	163	7	𝐐	𝐐	NOUN
concept-1835	163	8	=	=	SYM
concept-1835	163	9	  	  	SPACE
concept-1835	163	10	20000	20000	NUM
concept-1835	163	11	30000	30000	NUM
concept-1835	163	12	25000	25000	NUM
concept-1835	163	13	20000	20000	NUM
concept-1835	163	14	30000	30000	NUM
concept-1835	163	15	25000	25000	NUM
concept-1835	163	16	20000	20000	NUM
concept-1835	163	17	30000	30000	NUM
concept-1835	163	18	25000	25000	NUM
concept-1835	163	19	40000	40000	NUM
concept-1835	163	20	50000	50000	NUM
concept-1835	163	21	35000	35000	NUM
concept-1835	163	22	40000	40000	NUM
concept-1835	163	23	50000	50000	NUM
concept-1835	163	24	35000	35000	NUM
concept-1835	163	25	40000	40000	NUM
concept-1835	163	26	50000	50000	NUM
concept-1835	163	27	35000	35000	NUM
concept-1835	163	28	45000	45000	NUM
concept-1835	163	29	45000	45000	NUM
concept-1835	163	30	45000	45000	NUM
concept-1835	163	31	20000	20000	NUM
concept-1835	163	32	30000	30000	NUM
concept-1835	163	33	25000	25000	NUM
concept-1835	163	34	20000	20000	NUM
concept-1835	163	35	30000	30000	NUM
concept-1835	163	36	25000	25000	NUM
concept-1835	163	37	20000	20000	NUM
concept-1835	163	38	20000	20000	NUM
concept-1835	163	39	30000	30000	NUM
concept-1835	163	40	30000	30000	NUM
concept-1835	163	41	25000	25000	NUM
concept-1835	163	42	25000	25000	NUM
concept-1835	163	43	40000	40000	NUM
concept-1835	163	44	50000	50000	NUM
concept-1835	163	45	35000	35000	NUM
concept-1835	163	46	40000	40000	NUM
concept-1835	163	47	50000	50000	NUM
concept-1835	163	48	35000	35000	NUM
concept-1835	163	49	40000	40000	NUM
concept-1835	163	50	40000	40000	NUM
concept-1835	163	51	50000	50000	NUM
concept-1835	163	52	50000	50000	NUM
concept-1835	163	53	35000	35000	NUM
concept-1835	163	54	35000	35000	NUM
concept-1835	163	55	45000	45000	NUM
concept-1835	163	56	45000	45000	NUM
concept-1835	163	57	45000	45000	NUM
concept-1835	163	58	45000	45000	NUM
concept-1835	163	59	let	let	VERB
concept-1835	163	60	us	we	PRON
concept-1835	163	61	also	also	ADV
concept-1835	163	62	declare	declare	VERB
concept-1835	163	63	p	p	NOUN
concept-1835	163	64	with	with	ADP
concept-1835	163	65	equal	equal	ADJ
concept-1835	163	66	probabilities	probability	NOUN
concept-1835	163	67	that	that	PRON
concept-1835	163	68	a	a	DET
concept-1835	163	69	vehicle	vehicle	NOUN
concept-1835	163	70	will	will	AUX
concept-1835	163	71	come	come	VERB
concept-1835	163	72	from	from	ADP
concept-1835	163	73	any	any	DET
concept-1835	163	74	exit	exit	NOUN
concept-1835	163	75	,	,	PUNCT
concept-1835	163	76	which	which	PRON
concept-1835	163	77	means	mean	VERB
concept-1835	163	78	that	that	SCONJ
concept-1835	163	79	p1,j	p1,j	NOUN
concept-1835	163	80	=	=	SYM
concept-1835	163	81	p2,j	p2,j	PROPN
concept-1835	163	82	=	=	SYM
concept-1835	163	83	p3,j	p3,j	PROPN
concept-1835	163	84	…	…	PUNCT
concept-1835	163	85	:	:	PUNCT
concept-1835	163	86	𝐏	𝐏	PROPN
concept-1835	163	87	=	=	NOUN
concept-1835	163	88	0.1	0.1	NUM
concept-1835	163	89	0.15	0.15	NUM
concept-1835	163	90	0.15	0.15	NUM
concept-1835	163	91	0.1	0.1	NUM
concept-1835	163	92	0.15	0.15	NUM
concept-1835	163	93	0.15	0.15	NUM
concept-1835	163	94	0.1	0.1	NUM
concept-1835	163	95	0.15	0.15	NUM
concept-1835	163	96	0.15	0.15	NUM
concept-1835	163	97	0.2	0.2	NUM
concept-1835	163	98	0.25	0.25	NUM
concept-1835	163	99	0.05	0.05	NUM
concept-1835	163	100	0.2	0.2	NUM
concept-1835	163	101	0.25	0.25	NUM
concept-1835	163	102	0.05	0.05	NUM
concept-1835	163	103	0.2	0.2	NUM
concept-1835	163	104	0.25	0.25	NUM
concept-1835	163	105	0.05	0.05	NUM
concept-1835	163	106	0.1	0.1	NUM
concept-1835	163	107	0.1	0.1	NUM
concept-1835	163	108	0.1	0.1	NUM
concept-1835	163	109	0.1	0.1	NUM
concept-1835	163	110	0.15	0.15	NUM
concept-1835	163	111	0.15	0.15	NUM
concept-1835	163	112	0.1	0.1	NUM
concept-1835	163	113	0.15	0.15	NUM
concept-1835	163	114	0.15	0.15	NUM
concept-1835	163	115	0.1	0.1	NUM
concept-1835	163	116	0.1	0.1	NUM
concept-1835	163	117	0.15	0.15	NUM
concept-1835	163	118	0.15	0.15	NUM
concept-1835	163	119	0.15	0.15	NUM
concept-1835	163	120	0.15	0.15	NUM
concept-1835	163	121	0.2	0.2	NUM
concept-1835	163	122	0.25	0.25	NUM
concept-1835	163	123	0.05	0.05	NUM
concept-1835	163	124	0.2	0.2	NUM
concept-1835	163	125	0.25	0.25	NUM
concept-1835	163	126	0.05	0.05	NUM
concept-1835	163	127	0.2	0.2	NUM
concept-1835	163	128	0.2	0.2	NUM
concept-1835	163	129	0.25	0.25	NUM
concept-1835	163	130	0.25	0.25	NUM
concept-1835	163	131	0.05	0.05	NUM
concept-1835	163	132	0.05	0.05	NUM
concept-1835	163	133	0.1	0.1	NUM
concept-1835	163	134	0.1	0.1	NUM
concept-1835	163	135	0.1	0.1	NUM
concept-1835	163	136	0.1	0.1	NUM
concept-1835	163	137	and	and	CCONJ
concept-1835	163	138	let	let	VERB
concept-1835	163	139	v(t	v(t	PRON
concept-1835	163	140	)	)	PUNCT
concept-1835	163	141	=	=	SYM
concept-1835	163	142	0.1	0.1	NUM
concept-1835	163	143	,	,	PUNCT
concept-1835	163	144	then	then	ADV
concept-1835	163	145	:	:	PUNCT
concept-1835	163	146	𝐑	𝐑	NOUN
concept-1835	163	147	=	=	NOUN
concept-1835	163	148	200	200	NUM
concept-1835	163	149	300	300	NUM
concept-1835	163	150	300	300	NUM
concept-1835	163	151	300	300	NUM
concept-1835	163	152	450	450	NUM
concept-1835	163	153	450	450	NUM
concept-1835	163	154	250	250	NUM
concept-1835	163	155	375	375	NUM
concept-1835	163	156	375	375	NUM
concept-1835	163	157	400	400	NUM
concept-1835	163	158	500	500	NUM
concept-1835	163	159	100	100	NUM
concept-1835	163	160	600	600	NUM
concept-1835	163	161	750	750	NUM
concept-1835	163	162	150	150	NUM
concept-1835	163	163	500	500	NUM
concept-1835	163	164	625	625	NUM
concept-1835	163	165	125	125	NUM
concept-1835	163	166	200	200	NUM
concept-1835	163	167	300	300	NUM
concept-1835	163	168	250	250	NUM
concept-1835	163	169	400	400	NUM
concept-1835	163	170	600	600	NUM
concept-1835	163	171	600	600	NUM
concept-1835	163	172	500	500	NUM
concept-1835	163	173	750	750	NUM
concept-1835	163	174	750	750	NUM
concept-1835	163	175	350	350	NUM
concept-1835	163	176	450	450	NUM
concept-1835	163	177	525	525	NUM
concept-1835	163	178	675	675	NUM
concept-1835	163	179	525	525	NUM
concept-1835	163	180	675	675	NUM
concept-1835	163	181	800	800	NUM
concept-1835	163	182	1000	1000	NUM
concept-1835	163	183	200	200	NUM
concept-1835	163	184	1000	1000	NUM
concept-1835	163	185	1250	1250	NUM
concept-1835	163	186	250	250	NUM
concept-1835	163	187	700	700	NUM
concept-1835	163	188	900	900	NUM
concept-1835	163	189	875	875	NUM
concept-1835	163	190	1125	1125	NUM
concept-1835	163	191	175	175	NUM
concept-1835	163	192	225	225	NUM
concept-1835	163	193	400	400	NUM
concept-1835	163	194	500	500	NUM
concept-1835	163	195	350	350	NUM
concept-1835	163	196	450	450	NUM
concept-1835	163	197	so	so	ADV
concept-1835	163	198	the	the	DET
concept-1835	163	199	number	number	NOUN
concept-1835	163	200	of	of	ADP
concept-1835	163	201	vehicles	vehicle	NOUN
concept-1835	163	202	traveling	travel	VERB
concept-1835	163	203	on	on	ADP
concept-1835	163	204	highway	highway	NOUN
concept-1835	163	205	section	section	NOUN
concept-1835	163	206	(	(	PUNCT
concept-1835	163	207	6,7	6,7	NUM
concept-1835	163	208	)	)	PUNCT
concept-1835	163	209	during	during	ADP
concept-1835	163	210	this	this	DET
concept-1835	163	211	hour	hour	NOUN
concept-1835	163	212	is	be	AUX
concept-1835	163	213	:	:	PUNCT
concept-1835	163	214	𝑐	𝑐	X
concept-1835	163	215	!	!	PUNCT
concept-1835	163	216	,	,	PUNCT
concept-1835	163	217	!	!	PUNCT
concept-1835	164	1	=	=	PUNCT
concept-1835	165	1	250	250	NUM
concept-1835	165	2	+	+	NUM
concept-1835	165	3	400	400	NUM
concept-1835	165	4	+	+	NUM
concept-1835	165	5	400	400	NUM
concept-1835	165	6	+	+	CCONJ
concept-1835	165	7	350	350	NUM
concept-1835	165	8	=	=	SYM
concept-1835	165	9	1400	1400	NUM
concept-1835	165	10	if	if	SCONJ
concept-1835	165	11	the	the	DET
concept-1835	165	12	average	average	ADJ
concept-1835	165	13	speed	speed	NOUN
concept-1835	165	14	is	be	AUX
concept-1835	165	15	65	65	NUM
concept-1835	165	16	miles	mile	NOUN
concept-1835	165	17	per	per	ADP
concept-1835	165	18	hour	hour	NOUN
concept-1835	165	19	,	,	PUNCT
concept-1835	165	20	then	then	ADV
concept-1835	165	21	the	the	DET
concept-1835	165	22	density	density	NOUN
concept-1835	165	23	ρ(6,7	ρ(6,7	NOUN
concept-1835	165	24	)	)	PUNCT
concept-1835	165	25	is	be	AUX
concept-1835	165	26	:	:	PUNCT
concept-1835	165	27	𝜌	𝜌	X
concept-1835	165	28	!	!	NOUN
concept-1835	165	29	,	,	PUNCT
concept-1835	165	30	!	!	PUNCT
concept-1835	166	1	=	=	PUNCT
concept-1835	166	2	𝑐	𝑐	X
concept-1835	166	3	!	!	PUNCT
concept-1835	166	4	,	,	PUNCT
concept-1835	166	5	!	!	PUNCT
concept-1835	167	1	𝑠	𝑠	PROPN
concept-1835	168	1	∙	∙	PROPN
concept-1835	168	2	𝑙	𝑙	PROPN
concept-1835	168	3	!	!	PUNCT
concept-1835	168	4	,	,	PUNCT
concept-1835	168	5	!	!	PUNCT
concept-1835	169	1	=	=	PUNCT
concept-1835	169	2	1400	1400	NUM
concept-1835	169	3	 	 	SPACE
concept-1835	169	4	vehicles	vehicle	NOUN
concept-1835	169	5	/	/	SYM
concept-1835	169	6	hr	hr	NOUN
concept-1835	169	7	65!"#$%	65!"#$%	NUM
concept-1835	169	8	!	!	PUNCT
concept-1835	169	9	"	"	PUNCT
concept-1835	170	1	∙	∙	PROPN
concept-1835	170	2	3	3	NUM
concept-1835	170	3	 	 	SPACE
concept-1835	170	4	lanes	lane	VERB
concept-1835	170	5	≈	≈	PROPN
concept-1835	170	6	7.179	7.179	NUM
concept-1835	170	7	 	 	SPACE
concept-1835	170	8	vehicles/(mile	vehicles/(mile	ADJ
concept-1835	170	9	∙	∙	PROPN
concept-1835	170	10	lane	lane	NOUN
concept-1835	170	11	)	)	PUNCT
concept-1835	170	12	comparing	compare	VERB
concept-1835	170	13	this	this	DET
concept-1835	170	14	result	result	NOUN
concept-1835	170	15	to	to	ADP
concept-1835	170	16	actual	actual	ADJ
concept-1835	170	17	traffic	traffic	NOUN
concept-1835	170	18	densities	density	NOUN
concept-1835	170	19	would	would	AUX
concept-1835	170	20	allow	allow	VERB
concept-1835	170	21	prediction	prediction	NOUN
concept-1835	170	22	of	of	ADP
concept-1835	170	23	heavy	heavy	ADJ
concept-1835	170	24	traffic	traffic	NOUN
concept-1835	170	25	.	.	PUNCT
concept-1835	171	1	notice	notice	VERB
concept-1835	171	2	that	that	SCONJ
concept-1835	171	3	the	the	DET
concept-1835	171	4	only	only	ADJ
concept-1835	171	5	information	information	NOUN
concept-1835	171	6	needed	need	VERB
concept-1835	171	7	besides	besides	SCONJ
concept-1835	171	8	the	the	DET
concept-1835	171	9	geometry	geometry	NOUN
concept-1835	171	10	of	of	ADP
concept-1835	171	11	the	the	DET
concept-1835	171	12	road	road	NOUN
concept-1835	171	13	  	  	SPACE
concept-1835	171	14	system	system	NOUN
concept-1835	171	15	was	be	AUX
concept-1835	171	16	number	number	NOUN
concept-1835	171	17	of	of	ADP
concept-1835	171	18	vehicles	vehicle	NOUN
concept-1835	171	19	around	around	ADP
concept-1835	171	20	an	an	DET
concept-1835	171	21	exit	exit	NOUN
concept-1835	171	22	,	,	PUNCT
concept-1835	171	23	probability	probability	NOUN
concept-1835	171	24	of	of	ADP
concept-1835	171	25	destination	destination	NOUN
concept-1835	171	26	,	,	PUNCT
concept-1835	171	27	average	average	ADJ
concept-1835	171	28	speed	speed	NOUN
concept-1835	171	29	,	,	PUNCT
concept-1835	171	30	and	and	CCONJ
concept-1835	171	31	relative	relative	ADJ
concept-1835	171	32	traffic	traffic	NOUN
concept-1835	171	33	volume	volume	NOUN
concept-1835	171	34	for	for	ADP
concept-1835	171	35	the	the	DET
concept-1835	171	36	entire	entire	ADJ
concept-1835	171	37	road	road	NOUN
concept-1835	171	38	system	system	NOUN
concept-1835	171	39	during	during	ADP
concept-1835	171	40	the	the	DET
concept-1835	171	41	time	time	NOUN
concept-1835	171	42	interval	interval	NOUN
concept-1835	171	43	.	.	PUNCT
concept-1835	172	1	it	it	PRON
concept-1835	172	2	is	be	AUX
concept-1835	172	3	worth	worth	ADJ
concept-1835	172	4	noting	note	VERB
concept-1835	172	5	that	that	SCONJ
concept-1835	172	6	individual	individual	ADJ
concept-1835	172	7	traffic	traffic	NOUN
concept-1835	172	8	volume	volume	NOUN
concept-1835	172	9	measurements	measurement	NOUN
concept-1835	172	10	on	on	ADP
concept-1835	172	11	each	each	DET
concept-1835	172	12	segment	segment	NOUN
concept-1835	172	13	are	be	AUX
concept-1835	172	14	not	not	PART
concept-1835	172	15	needed	need	VERB
concept-1835	172	16	in	in	ADP
concept-1835	172	17	this	this	DET
concept-1835	172	18	model	model	NOUN
concept-1835	172	19	.	.	PUNCT
concept-1835	173	1	if	if	SCONJ
concept-1835	173	2	we	we	PRON
concept-1835	173	3	are	be	AUX
concept-1835	173	4	interested	interested	ADJ
concept-1835	173	5	in	in	ADP
concept-1835	173	6	what	what	PRON
concept-1835	173	7	traffic	traffic	NOUN
concept-1835	173	8	density	density	NOUN
concept-1835	173	9	is	be	AUX
concept-1835	173	10	like	like	ADP
concept-1835	173	11	at	at	ADP
concept-1835	173	12	the	the	DET
concept-1835	173	13	next	next	ADJ
concept-1835	173	14	time	time	NOUN
concept-1835	173	15	interval	interval	NOUN
concept-1835	173	16	,	,	PUNCT
concept-1835	173	17	the	the	DET
concept-1835	173	18	formula	formula	NOUN
concept-1835	173	19	for	for	ADP
concept-1835	173	20	qt+1	qt+1	PROPN
concept-1835	173	21	can	can	AUX
concept-1835	173	22	be	be	AUX
concept-1835	173	23	used	use	VERB
concept-1835	173	24	:	:	PUNCT
concept-1835	173	25	𝐪𝒕!𝟏	𝐪𝒕!𝟏	PROPN
concept-1835	173	26	=	=	PUNCT
concept-1835	173	27	𝑣	𝑣	PRON
concept-1835	173	28	𝑡	𝑡	NOUN
concept-1835	173	29	𝐪𝒕	𝐪𝒕	ADP
concept-1835	173	30	∙	∙	PROPN
concept-1835	173	31	𝐏	𝐏	PROPN
concept-1835	173	32	+	+	CCONJ
concept-1835	173	33	1	1	NUM
concept-1835	173	34	−	−	NOUN
concept-1835	173	35	𝑣	𝑣	ADP
concept-1835	173	36	𝑡	𝑡	NOUN
concept-1835	173	37	𝐪𝒕	𝐪𝒕	ADP
concept-1835	173	38	=	=	X
concept-1835	173	39	(	(	PUNCT
concept-1835	173	40	2045	2045	NUM
concept-1835	173	41	,	,	PUNCT
concept-1835	173	42	3067	3067	NUM
concept-1835	173	43	,	,	PUNCT
concept-1835	173	44	2617.5	2617.5	NUM
concept-1835	173	45	,	,	PUNCT
concept-1835	173	46	4090	4090	NUM
concept-1835	173	47	,	,	PUNCT
concept-1835	173	48	5112.5	5112.5	NUM
concept-1835	173	49	,	,	PUNCT
concept-1835	173	50	3272.5	3272.5	NUM
concept-1835	173	51	,	,	PUNCT
concept-1835	173	52	4295	4295	NUM
concept-1835	173	53	)	)	PUNCT
concept-1835	173	54	this	this	DET
concept-1835	173	55	vector	vector	NOUN
concept-1835	173	56	can	can	AUX
concept-1835	173	57	be	be	AUX
concept-1835	173	58	used	use	VERB
concept-1835	173	59	to	to	PART
concept-1835	173	60	find	find	VERB
concept-1835	173	61	the	the	DET
concept-1835	173	62	densities	density	NOUN
concept-1835	173	63	during	during	ADP
concept-1835	173	64	the	the	DET
concept-1835	173	65	next	next	ADJ
concept-1835	173	66	time	time	NOUN
concept-1835	173	67	interval	interval	NOUN
concept-1835	173	68	.	.	PUNCT
concept-1835	174	1	iv	iv	X
concept-1835	174	2	.	.	PUNCT
concept-1835	174	3	application	application	NOUN
concept-1835	174	4	of	of	ADP
concept-1835	174	5	model	model	NOUN
concept-1835	174	6	to	to	ADP
concept-1835	174	7	the	the	DET
concept-1835	174	8	greater	great	ADJ
concept-1835	174	9	philadelphia	philadelphia	PROPN
concept-1835	174	10	region	region	NOUN
concept-1835	174	11	the	the	DET
concept-1835	174	12	highway	highway	NOUN
concept-1835	174	13	system	system	NOUN
concept-1835	174	14	around	around	ADP
concept-1835	174	15	the	the	DET
concept-1835	174	16	philadelphia	philadelphia	PROPN
concept-1835	174	17	region	region	NOUN
concept-1835	174	18	is	be	AUX
concept-1835	174	19	commonly	commonly	ADV
concept-1835	174	20	plagued	plague	VERB
concept-1835	174	21	by	by	ADP
concept-1835	174	22	heavy	heavy	ADJ
concept-1835	174	23	traffic	traffic	NOUN
concept-1835	174	24	that	that	PRON
concept-1835	174	25	can	can	AUX
concept-1835	174	26	be	be	AUX
concept-1835	174	27	difficult	difficult	ADJ
concept-1835	174	28	to	to	PART
concept-1835	174	29	anticipate	anticipate	VERB
concept-1835	174	30	.	.	PUNCT
concept-1835	175	1	the	the	DET
concept-1835	175	2	model	model	NOUN
concept-1835	175	3	developed	develop	VERB
concept-1835	175	4	in	in	ADP
concept-1835	175	5	this	this	DET
concept-1835	175	6	paper	paper	NOUN
concept-1835	175	7	will	will	AUX
concept-1835	175	8	now	now	ADV
concept-1835	175	9	be	be	AUX
concept-1835	175	10	applied	apply	VERB
concept-1835	175	11	to	to	ADP
concept-1835	175	12	the	the	DET
concept-1835	175	13	philadelphia	philadelphia	PROPN
concept-1835	175	14	highway	highway	NOUN
concept-1835	175	15	system	system	NOUN
concept-1835	175	16	.	.	PUNCT
concept-1835	176	1	in	in	ADP
concept-1835	176	2	order	order	NOUN
concept-1835	176	3	for	for	SCONJ
concept-1835	176	4	the	the	DET
concept-1835	176	5	model	model	NOUN
concept-1835	176	6	to	to	PART
concept-1835	176	7	be	be	AUX
concept-1835	176	8	applied	apply	VERB
concept-1835	176	9	,	,	PUNCT
concept-1835	176	10	certain	certain	ADJ
concept-1835	176	11	assumptions	assumption	NOUN
concept-1835	176	12	about	about	ADP
concept-1835	176	13	the	the	DET
concept-1835	176	14	region	region	NOUN
concept-1835	176	15	must	must	AUX
concept-1835	176	16	be	be	AUX
concept-1835	176	17	made	make	VERB
concept-1835	176	18	.	.	PUNCT
concept-1835	177	1	the	the	DET
concept-1835	177	2	level	level	NOUN
concept-1835	177	3	of	of	ADP
concept-1835	177	4	validity	validity	NOUN
concept-1835	177	5	of	of	ADP
concept-1835	177	6	these	these	DET
concept-1835	177	7	assumptions	assumption	NOUN
concept-1835	177	8	will	will	AUX
concept-1835	177	9	affect	affect	VERB
concept-1835	177	10	the	the	DET
concept-1835	177	11	predictive	predictive	ADJ
concept-1835	177	12	value	value	NOUN
concept-1835	177	13	of	of	ADP
concept-1835	177	14	the	the	DET
concept-1835	177	15	model	model	NOUN
concept-1835	177	16	,	,	PUNCT
concept-1835	177	17	and	and	CCONJ
concept-1835	177	18	are	be	AUX
concept-1835	177	19	not	not	PART
concept-1835	177	20	absolute	absolute	ADJ
concept-1835	177	21	.	.	PUNCT
concept-1835	178	1	assumptions	assumption	NOUN
concept-1835	178	2	in	in	ADP
concept-1835	178	3	the	the	DET
concept-1835	178	4	model	model	NOUN
concept-1835	178	5	instead	instead	ADV
concept-1835	178	6	of	of	ADP
concept-1835	178	7	looking	look	VERB
concept-1835	178	8	at	at	ADP
concept-1835	178	9	all	all	PRON
concept-1835	178	10	of	of	ADP
concept-1835	178	11	the	the	DET
concept-1835	178	12	hundreds	hundred	NOUN
concept-1835	178	13	of	of	ADP
concept-1835	178	14	highway	highway	NOUN
concept-1835	178	15	exits	exit	VERB
concept-1835	178	16	in	in	ADP
concept-1835	178	17	the	the	DET
concept-1835	178	18	region	region	NOUN
concept-1835	178	19	,	,	PUNCT
concept-1835	178	20	this	this	DET
concept-1835	178	21	analysis	analysis	NOUN
concept-1835	178	22	only	only	ADV
concept-1835	178	23	looks	look	VERB
concept-1835	178	24	at	at	ADP
concept-1835	178	25	46	46	NUM
concept-1835	178	26	strategically	strategically	ADV
concept-1835	178	27	selected	select	VERB
concept-1835	178	28	exits	exit	NOUN
concept-1835	178	29	.	.	PUNCT
concept-1835	179	1	the	the	DET
concept-1835	179	2	implicit	implicit	ADJ
concept-1835	179	3	assumption	assumption	NOUN
concept-1835	179	4	here	here	ADV
concept-1835	179	5	is	be	AUX
concept-1835	179	6	that	that	SCONJ
concept-1835	179	7	only	only	ADV
concept-1835	179	8	a	a	DET
concept-1835	179	9	certain	certain	ADJ
concept-1835	179	10	number	number	NOUN
concept-1835	179	11	of	of	ADP
concept-1835	179	12	exits	exit	NOUN
concept-1835	179	13	need	need	VERB
concept-1835	179	14	to	to	PART
concept-1835	179	15	be	be	AUX
concept-1835	179	16	accounted	account	VERB
concept-1835	179	17	for	for	ADP
concept-1835	179	18	in	in	ADP
concept-1835	179	19	order	order	NOUN
concept-1835	179	20	to	to	PART
concept-1835	179	21	get	get	VERB
concept-1835	179	22	a	a	DET
concept-1835	179	23	reasonably	reasonably	ADV
concept-1835	179	24	accurate	accurate	ADJ
concept-1835	179	25	prediction	prediction	NOUN
concept-1835	179	26	,	,	PUNCT
concept-1835	179	27	so	so	ADV
concept-1835	179	28	long	long	ADV
concept-1835	179	29	as	as	SCONJ
concept-1835	179	30	they	they	PRON
concept-1835	179	31	are	be	AUX
concept-1835	179	32	chosen	choose	VERB
concept-1835	179	33	in	in	ADP
concept-1835	179	34	such	such	DET
concept-1835	179	35	a	a	DET
concept-1835	179	36	way	way	NOUN
concept-1835	179	37	that	that	PRON
concept-1835	179	38	the	the	DET
concept-1835	179	39	exits	exit	NOUN
concept-1835	179	40	adequately	adequately	ADV
concept-1835	179	41	cover	cover	VERB
concept-1835	179	42	the	the	DET
concept-1835	179	43	entire	entire	ADJ
concept-1835	179	44	region	region	NOUN
concept-1835	179	45	being	be	AUX
concept-1835	179	46	modeled	model	VERB
concept-1835	179	47	.	.	PUNCT
concept-1835	180	1	to	to	PART
concept-1835	180	2	determine	determine	VERB
concept-1835	180	3	the	the	DET
concept-1835	180	4	initial	initial	ADJ
concept-1835	180	5	values	value	NOUN
concept-1835	180	6	for	for	ADP
concept-1835	180	7	the	the	DET
concept-1835	180	8	population	population	NOUN
concept-1835	180	9	vector	vector	NOUN
concept-1835	180	10	q	q	PROPN
concept-1835	180	11	,	,	PUNCT
concept-1835	180	12	an	an	DET
concept-1835	180	13	assumption	assumption	NOUN
concept-1835	180	14	is	be	AUX
concept-1835	180	15	made	make	VERB
concept-1835	180	16	that	that	SCONJ
concept-1835	180	17	the	the	DET
concept-1835	180	18	number	number	NOUN
concept-1835	180	19	of	of	ADP
concept-1835	180	20	households	household	NOUN
concept-1835	180	21	(	(	PUNCT
concept-1835	180	22	us	us	PROPN
concept-1835	180	23	census	census	PROPN
concept-1835	180	24	bureau	bureau	PROPN
concept-1835	180	25	,	,	PUNCT
concept-1835	180	26	2013	2013	NUM
concept-1835	180	27	)	)	PUNCT
concept-1835	180	28	in	in	ADP
concept-1835	180	29	an	an	DET
concept-1835	180	30	area	area	NOUN
concept-1835	180	31	is	be	AUX
concept-1835	180	32	proportional	proportional	ADJ
concept-1835	180	33	to	to	ADP
concept-1835	180	34	the	the	DET
concept-1835	180	35	number	number	NOUN
concept-1835	180	36	of	of	ADP
concept-1835	180	37	vehicles	vehicle	NOUN
concept-1835	180	38	in	in	ADP
concept-1835	180	39	this	this	DET
concept-1835	180	40	area	area	NOUN
concept-1835	180	41	during	during	ADP
concept-1835	180	42	the	the	DET
concept-1835	180	43	early	early	ADJ
concept-1835	180	44	morning	morning	NOUN
concept-1835	180	45	hours	hour	NOUN
concept-1835	180	46	(	(	PUNCT
concept-1835	180	47	approximately	approximately	ADV
concept-1835	180	48	1	1	NUM
concept-1835	180	49	am	am	ADJ
concept-1835	180	50	)	)	PUNCT
concept-1835	180	51	.	.	PUNCT
concept-1835	181	1	the	the	DET
concept-1835	181	2	number	number	NOUN
concept-1835	181	3	of	of	ADP
concept-1835	181	4	households	household	NOUN
concept-1835	181	5	within	within	ADP
concept-1835	181	6	a	a	DET
concept-1835	181	7	1	1	NUM
concept-1835	181	8	and	and	CCONJ
concept-1835	181	9	2	2	NUM
concept-1835	181	10	mile	mile	NOUN
concept-1835	181	11	radius	radius	NOUN
concept-1835	181	12	of	of	ADP
concept-1835	181	13	each	each	DET
concept-1835	181	14	exit	exit	NOUN
concept-1835	181	15	was	be	AUX
concept-1835	181	16	obtained	obtain	VERB
concept-1835	181	17	from	from	ADP
concept-1835	181	18	census	census	NOUN
concept-1835	181	19	data	datum	NOUN
concept-1835	181	20	.	.	PUNCT
concept-1835	182	1	this	this	DET
concept-1835	182	2	data	data	NOUN
concept-1835	182	3	is	be	AUX
concept-1835	182	4	used	use	VERB
concept-1835	182	5	as	as	ADP
concept-1835	182	6	the	the	DET
concept-1835	182	7	population	population	NOUN
concept-1835	182	8	at	at	ADP
concept-1835	182	9	time	time	NOUN
concept-1835	182	10	=	=	SYM
concept-1835	182	11	1	1	NUM
concept-1835	182	12	am	am	ADJ
concept-1835	182	13	.	.	PUNCT
concept-1835	183	1	the	the	DET
concept-1835	183	2	rest	rest	NOUN
concept-1835	183	3	of	of	ADP
concept-1835	183	4	the	the	DET
concept-1835	183	5	populations	population	NOUN
concept-1835	183	6	are	be	AUX
concept-1835	183	7	a	a	DET
concept-1835	183	8	result	result	NOUN
concept-1835	183	9	of	of	ADP
concept-1835	183	10	the	the	DET
concept-1835	183	11	iterative	iterative	NOUN
concept-1835	183	12	process	process	NOUN
concept-1835	183	13	in	in	ADP
concept-1835	183	14	the	the	DET
concept-1835	183	15	model	model	NOUN
concept-1835	183	16	,	,	PUNCT
concept-1835	183	17	which	which	PRON
concept-1835	183	18	evolves	evolve	VERB
concept-1835	183	19	dynamically	dynamically	ADV
concept-1835	183	20	.	.	PUNCT
concept-1835	184	1	the	the	DET
concept-1835	184	2	destination	destination	NOUN
concept-1835	184	3	probabilities	probability	NOUN
concept-1835	184	4	were	be	AUX
concept-1835	184	5	derived	derive	VERB
concept-1835	184	6	from	from	ADP
concept-1835	184	7	data	datum	NOUN
concept-1835	184	8	about	about	ADP
concept-1835	184	9	the	the	DET
concept-1835	184	10	number	number	NOUN
concept-1835	184	11	of	of	ADP
concept-1835	184	12	workers	worker	NOUN
concept-1835	184	13	in	in	ADP
concept-1835	184	14	a	a	DET
concept-1835	184	15	given	give	VERB
concept-1835	184	16	radius	radius	NOUN
concept-1835	184	17	of	of	ADP
concept-1835	184	18	each	each	DET
concept-1835	184	19	exit	exit	NOUN
concept-1835	184	20	(	(	PUNCT
concept-1835	184	21	us	us	PROPN
concept-1835	184	22	census	census	PROPN
concept-1835	184	23	bureau	bureau	PROPN
concept-1835	184	24	,	,	PUNCT
concept-1835	184	25	2013	2013	NUM
concept-1835	184	26	)	)	PUNCT
concept-1835	184	27	.	.	PUNCT
concept-1835	185	1	during	during	ADP
concept-1835	185	2	the	the	DET
concept-1835	185	3	hours	hour	NOUN
concept-1835	185	4	of	of	ADP
concept-1835	185	5	5	5	NUM
concept-1835	185	6	am	am	NOUN
concept-1835	185	7	to	to	ADP
concept-1835	185	8	10	10	NUM
concept-1835	185	9	am	am	ADV
concept-1835	185	10	,	,	PUNCT
concept-1835	185	11	the	the	DET
concept-1835	185	12	proportion	proportion	NOUN
concept-1835	185	13	of	of	ADP
concept-1835	185	14	workers	worker	NOUN
concept-1835	185	15	in	in	ADP
concept-1835	185	16	the	the	DET
concept-1835	185	17	area	area	NOUN
concept-1835	185	18	of	of	ADP
concept-1835	185	19	an	an	DET
concept-1835	185	20	exit	exit	NOUN
concept-1835	185	21	matches	match	VERB
concept-1835	185	22	the	the	DET
concept-1835	185	23	probability	probability	NOUN
concept-1835	185	24	that	that	SCONJ
concept-1835	185	25	a	a	DET
concept-1835	185	26	vehicle	vehicle	NOUN
concept-1835	185	27	will	will	AUX
concept-1835	185	28	travel	travel	VERB
concept-1835	185	29	to	to	ADP
concept-1835	185	30	this	this	DET
concept-1835	185	31	exit	exit	NOUN
concept-1835	185	32	.	.	PUNCT
concept-1835	186	1	this	this	PRON
concept-1835	186	2	produces	produce	VERB
concept-1835	186	3	a	a	DET
concept-1835	186	4	transition	transition	NOUN
concept-1835	186	5	matrix	matrix	NOUN
concept-1835	186	6	in	in	ADP
concept-1835	186	7	which	which	PRON
concept-1835	186	8	each	each	DET
concept-1835	186	9	column	column	NOUN
concept-1835	186	10	contains	contain	VERB
concept-1835	186	11	elements	element	NOUN
concept-1835	186	12	with	with	ADP
concept-1835	186	13	the	the	DET
concept-1835	186	14	same	same	ADJ
concept-1835	186	15	probability	probability	NOUN
concept-1835	186	16	.	.	PUNCT
concept-1835	187	1	during	during	ADP
concept-1835	187	2	the	the	DET
concept-1835	187	3	hours	hour	NOUN
concept-1835	187	4	of	of	ADP
concept-1835	187	5	3	3	NUM
concept-1835	187	6	pm	pm	NOUN
concept-1835	187	7	to	to	PART
concept-1835	187	8	4	4	NUM
concept-1835	187	9	am	am	ADV
concept-1835	187	10	,	,	PUNCT
concept-1835	187	11	the	the	DET
concept-1835	187	12	values	value	NOUN
concept-1835	187	13	of	of	ADP
concept-1835	187	14	the	the	DET
concept-1835	187	15	transition	transition	NOUN
concept-1835	187	16	matrix	matrix	NOUN
concept-1835	187	17	switches	switch	NOUN
concept-1835	187	18	to	to	ADP
concept-1835	187	19	being	be	AUX
concept-1835	187	20	  	  	SPACE
concept-1835	187	21	proportional	proportional	ADJ
concept-1835	187	22	to	to	ADP
concept-1835	187	23	the	the	DET
concept-1835	187	24	number	number	NOUN
concept-1835	187	25	of	of	ADP
concept-1835	187	26	households	household	NOUN
concept-1835	187	27	around	around	ADP
concept-1835	187	28	an	an	DET
concept-1835	187	29	exit	exit	NOUN
concept-1835	187	30	,	,	PUNCT
concept-1835	187	31	which	which	PRON
concept-1835	187	32	is	be	AUX
concept-1835	187	33	what	what	PRON
concept-1835	187	34	we	we	PRON
concept-1835	187	35	assumed	assume	VERB
concept-1835	187	36	the	the	DET
concept-1835	187	37	initial	initial	ADJ
concept-1835	187	38	population	population	NOUN
concept-1835	187	39	was	be	AUX
concept-1835	187	40	.	.	PUNCT
concept-1835	188	1	this	this	PRON
concept-1835	188	2	should	should	AUX
concept-1835	188	3	return	return	VERB
concept-1835	188	4	the	the	DET
concept-1835	188	5	number	number	NOUN
concept-1835	188	6	of	of	ADP
concept-1835	188	7	vehicles	vehicle	NOUN
concept-1835	188	8	around	around	ADP
concept-1835	188	9	an	an	DET
concept-1835	188	10	exit	exit	NOUN
concept-1835	188	11	to	to	ADP
concept-1835	188	12	the	the	DET
concept-1835	188	13	initial	initial	ADJ
concept-1835	188	14	population	population	NOUN
concept-1835	188	15	at	at	ADP
concept-1835	188	16	the	the	DET
concept-1835	188	17	end	end	NOUN
concept-1835	188	18	of	of	ADP
concept-1835	188	19	each	each	DET
concept-1835	188	20	day	day	NOUN
concept-1835	188	21	.	.	PUNCT
concept-1835	189	1	during	during	ADP
concept-1835	189	2	the	the	DET
concept-1835	189	3	hours	hour	NOUN
concept-1835	189	4	of	of	ADP
concept-1835	189	5	11	11	NUM
concept-1835	189	6	am	am	NOUN
concept-1835	189	7	to	to	ADP
concept-1835	189	8	2	2	NUM
concept-1835	189	9	pm	pm	NOUN
concept-1835	189	10	,	,	PUNCT
concept-1835	189	11	the	the	DET
concept-1835	189	12	transition	transition	NOUN
concept-1835	189	13	matrix	matrix	NOUN
concept-1835	189	14	is	be	AUX
concept-1835	189	15	assumed	assume	VERB
concept-1835	189	16	to	to	PART
concept-1835	189	17	be	be	AUX
concept-1835	189	18	a	a	DET
concept-1835	189	19	combination	combination	NOUN
concept-1835	189	20	of	of	ADP
concept-1835	189	21	the	the	DET
concept-1835	189	22	other	other	ADJ
concept-1835	189	23	two	two	NUM
concept-1835	189	24	transition	transition	NOUN
concept-1835	189	25	matrices	matrix	NOUN
concept-1835	189	26	.	.	PUNCT
concept-1835	190	1	so	so	ADV
concept-1835	190	2	the	the	DET
concept-1835	190	3	average	average	NOUN
concept-1835	190	4	of	of	ADP
concept-1835	190	5	these	these	DET
concept-1835	190	6	probabilities	probability	NOUN
concept-1835	190	7	is	be	AUX
concept-1835	190	8	used	use	VERB
concept-1835	190	9	during	during	ADP
concept-1835	190	10	the	the	DET
concept-1835	190	11	mid	mid	ADJ
concept-1835	190	12	-	-	NOUN
concept-1835	190	13	day	day	NOUN
concept-1835	190	14	hours	hour	NOUN
concept-1835	190	15	.	.	PUNCT
concept-1835	191	1	the	the	DET
concept-1835	191	2	values	value	NOUN
concept-1835	191	3	of	of	ADP
concept-1835	191	4	the	the	DET
concept-1835	191	5	v(t	v(t	NOUN
concept-1835	191	6	)	)	PUNCT
concept-1835	191	7	function	function	NOUN
concept-1835	191	8	representing	represent	VERB
concept-1835	191	9	the	the	DET
concept-1835	191	10	relative	relative	ADJ
concept-1835	191	11	volume	volume	NOUN
concept-1835	191	12	of	of	ADP
concept-1835	191	13	traffic	traffic	NOUN
concept-1835	191	14	using	use	VERB
concept-1835	191	15	the	the	DET
concept-1835	191	16	network	network	NOUN
concept-1835	191	17	during	during	ADP
concept-1835	191	18	time	time	NOUN
concept-1835	191	19	interval	interval	NOUN
concept-1835	191	20	t	t	PROPN
concept-1835	191	21	was	be	AUX
concept-1835	191	22	determined	determine	VERB
concept-1835	191	23	from	from	ADP
concept-1835	191	24	past	past	ADJ
concept-1835	191	25	hourly	hourly	ADJ
concept-1835	191	26	traffic	traffic	NOUN
concept-1835	191	27	volumes	volume	NOUN
concept-1835	191	28	(	(	PUNCT
concept-1835	191	29	penndot	penndot	NOUN
concept-1835	191	30	,	,	PUNCT
concept-1835	191	31	2011	2011	NUM
concept-1835	191	32	)	)	PUNCT
concept-1835	191	33	.	.	PUNCT
concept-1835	192	1	the	the	DET
concept-1835	192	2	average	average	ADJ
concept-1835	192	3	speed	speed	NOUN
concept-1835	192	4	of	of	ADP
concept-1835	192	5	vehicles	vehicle	NOUN
concept-1835	192	6	on	on	ADP
concept-1835	192	7	the	the	DET
concept-1835	192	8	highway	highway	NOUN
concept-1835	192	9	is	be	AUX
concept-1835	192	10	assumed	assume	VERB
concept-1835	192	11	to	to	PART
concept-1835	192	12	be	be	AUX
concept-1835	192	13	65	65	NUM
concept-1835	192	14	miles	mile	NOUN
concept-1835	192	15	per	per	ADP
concept-1835	192	16	hour	hour	NOUN
concept-1835	192	17	.	.	PUNCT
concept-1835	193	1	there	there	PRON
concept-1835	193	2	are	be	VERB
concept-1835	193	3	two	two	NUM
concept-1835	193	4	problems	problem	NOUN
concept-1835	193	5	with	with	ADP
concept-1835	193	6	this	this	DET
concept-1835	193	7	assumption	assumption	NOUN
concept-1835	193	8	.	.	PUNCT
concept-1835	194	1	first	first	ADV
concept-1835	194	2	,	,	PUNCT
concept-1835	194	3	every	every	DET
concept-1835	194	4	section	section	NOUN
concept-1835	194	5	of	of	ADP
concept-1835	194	6	highway	highway	NOUN
concept-1835	194	7	may	may	AUX
concept-1835	194	8	not	not	PART
concept-1835	194	9	have	have	VERB
concept-1835	194	10	an	an	DET
concept-1835	194	11	average	average	ADJ
concept-1835	194	12	speed	speed	NOUN
concept-1835	194	13	of	of	ADP
concept-1835	194	14	exactly	exactly	ADV
concept-1835	194	15	65	65	NUM
concept-1835	194	16	miles	mile	NOUN
concept-1835	194	17	per	per	ADP
concept-1835	194	18	hour	hour	NOUN
concept-1835	194	19	.	.	PUNCT
concept-1835	195	1	second	second	ADJ
concept-1835	195	2	,	,	PUNCT
concept-1835	195	3	during	during	ADP
concept-1835	195	4	heavy	heavy	ADJ
concept-1835	195	5	traffic	traffic	NOUN
concept-1835	195	6	,	,	PUNCT
concept-1835	195	7	the	the	DET
concept-1835	195	8	average	average	ADJ
concept-1835	195	9	speed	speed	NOUN
concept-1835	195	10	of	of	ADP
concept-1835	195	11	vehicles	vehicle	NOUN
concept-1835	195	12	will	will	AUX
concept-1835	195	13	decrease	decrease	VERB
concept-1835	195	14	.	.	PUNCT
concept-1835	196	1	the	the	DET
concept-1835	196	2	first	first	ADJ
concept-1835	196	3	consideration	consideration	NOUN
concept-1835	196	4	will	will	AUX
concept-1835	196	5	not	not	PART
concept-1835	196	6	drastically	drastically	ADV
concept-1835	196	7	affect	affect	VERB
concept-1835	196	8	the	the	DET
concept-1835	196	9	model	model	NOUN
concept-1835	196	10	,	,	PUNCT
concept-1835	196	11	since	since	SCONJ
concept-1835	196	12	dividing	divide	VERB
concept-1835	196	13	by	by	ADP
concept-1835	196	14	a	a	DET
concept-1835	196	15	slightly	slightly	ADV
concept-1835	196	16	different	different	ADJ
concept-1835	196	17	value	value	NOUN
concept-1835	196	18	,	,	PUNCT
concept-1835	196	19	say	say	VERB
concept-1835	196	20	70	70	NUM
concept-1835	196	21	miles	mile	NOUN
concept-1835	196	22	per	per	ADP
concept-1835	196	23	hour	hour	NOUN
concept-1835	196	24	,	,	PUNCT
concept-1835	196	25	will	will	AUX
concept-1835	196	26	only	only	ADV
concept-1835	196	27	reduce	reduce	VERB
concept-1835	196	28	the	the	DET
concept-1835	196	29	density	density	NOUN
concept-1835	196	30	by	by	ADP
concept-1835	196	31	a	a	DET
concept-1835	196	32	small	small	ADJ
concept-1835	196	33	percentage	percentage	NOUN
concept-1835	196	34	(	(	PUNCT
concept-1835	196	35	7.1	7.1	NUM
concept-1835	196	36	%	%	NOUN
concept-1835	196	37	)	)	PUNCT
concept-1835	196	38	.	.	PUNCT
concept-1835	197	1	the	the	DET
concept-1835	197	2	second	second	ADJ
concept-1835	197	3	consideration	consideration	NOUN
concept-1835	197	4	has	have	VERB
concept-1835	197	5	a	a	DET
concept-1835	197	6	greater	great	ADJ
concept-1835	197	7	possibility	possibility	NOUN
concept-1835	197	8	of	of	ADP
concept-1835	197	9	affecting	affect	VERB
concept-1835	197	10	the	the	DET
concept-1835	197	11	results	result	NOUN
concept-1835	197	12	of	of	ADP
concept-1835	197	13	the	the	DET
concept-1835	197	14	density	density	NOUN
concept-1835	197	15	.	.	PUNCT
concept-1835	198	1	heavy	heavy	ADJ
concept-1835	198	2	traffic	traffic	NOUN
concept-1835	198	3	will	will	AUX
concept-1835	198	4	decrease	decrease	VERB
concept-1835	198	5	the	the	DET
concept-1835	198	6	average	average	ADJ
concept-1835	198	7	speed	speed	NOUN
concept-1835	198	8	and	and	CCONJ
concept-1835	198	9	density	density	NOUN
concept-1835	198	10	will	will	AUX
concept-1835	198	11	rise	rise	VERB
concept-1835	198	12	.	.	PUNCT
concept-1835	199	1	since	since	SCONJ
concept-1835	199	2	detecting	detect	VERB
concept-1835	199	3	heavy	heavy	ADJ
concept-1835	199	4	traffic	traffic	NOUN
concept-1835	199	5	is	be	AUX
concept-1835	199	6	the	the	DET
concept-1835	199	7	goal	goal	NOUN
concept-1835	199	8	of	of	ADP
concept-1835	199	9	this	this	DET
concept-1835	199	10	model	model	NOUN
concept-1835	199	11	,	,	PUNCT
concept-1835	199	12	densities	density	NOUN
concept-1835	199	13	above	above	ADP
concept-1835	199	14	the	the	DET
concept-1835	199	15	heavy	heavy	ADJ
concept-1835	199	16	traffic	traffic	NOUN
concept-1835	199	17	threshold	threshold	NOUN
concept-1835	199	18	will	will	AUX
concept-1835	199	19	already	already	ADV
concept-1835	199	20	be	be	AUX
concept-1835	199	21	accounted	account	VERB
concept-1835	199	22	for	for	ADP
concept-1835	199	23	and	and	CCONJ
concept-1835	199	24	an	an	DET
concept-1835	199	25	increase	increase	NOUN
concept-1835	199	26	in	in	ADP
concept-1835	199	27	density	density	NOUN
concept-1835	199	28	value	value	NOUN
concept-1835	199	29	will	will	AUX
concept-1835	199	30	not	not	PART
concept-1835	199	31	change	change	VERB
concept-1835	199	32	the	the	DET
concept-1835	199	33	categorical	categorical	ADJ
concept-1835	199	34	classification	classification	NOUN
concept-1835	199	35	as	as	ADP
concept-1835	199	36	heavy	heavy	ADJ
concept-1835	199	37	traffic	traffic	NOUN
concept-1835	199	38	.	.	PUNCT
concept-1835	200	1	when	when	SCONJ
concept-1835	200	2	applying	apply	VERB
concept-1835	200	3	the	the	DET
concept-1835	200	4	model	model	NOUN
concept-1835	200	5	to	to	ADP
concept-1835	200	6	a	a	DET
concept-1835	200	7	real	real	ADJ
concept-1835	200	8	network	network	NOUN
concept-1835	200	9	,	,	PUNCT
concept-1835	200	10	there	there	PRON
concept-1835	200	11	will	will	AUX
concept-1835	200	12	be	be	AUX
concept-1835	200	13	highways	highway	NOUN
concept-1835	200	14	that	that	PRON
concept-1835	200	15	lead	lead	VERB
concept-1835	200	16	away	away	ADV
concept-1835	200	17	from	from	ADP
concept-1835	200	18	the	the	DET
concept-1835	200	19	network	network	NOUN
concept-1835	200	20	and	and	CCONJ
concept-1835	200	21	do	do	AUX
concept-1835	200	22	not	not	PART
concept-1835	200	23	connect	connect	VERB
concept-1835	200	24	to	to	ADP
concept-1835	200	25	another	another	DET
concept-1835	200	26	exit	exit	NOUN
concept-1835	200	27	.	.	PUNCT
concept-1835	201	1	these	these	DET
concept-1835	201	2	lengths	length	NOUN
concept-1835	201	3	of	of	ADP
concept-1835	201	4	highway	highway	NOUN
concept-1835	201	5	should	should	AUX
concept-1835	201	6	be	be	AUX
concept-1835	201	7	considered	consider	VERB
concept-1835	201	8	when	when	SCONJ
concept-1835	201	9	applying	apply	VERB
concept-1835	201	10	the	the	DET
concept-1835	201	11	model	model	NOUN
concept-1835	201	12	,	,	PUNCT
concept-1835	201	13	since	since	SCONJ
concept-1835	201	14	incoming	incoming	ADJ
concept-1835	201	15	traffic	traffic	NOUN
concept-1835	201	16	will	will	AUX
concept-1835	201	17	affect	affect	VERB
concept-1835	201	18	densities	density	NOUN
concept-1835	201	19	.	.	PUNCT
concept-1835	202	1	in	in	ADP
concept-1835	202	2	order	order	NOUN
concept-1835	202	3	to	to	PART
concept-1835	202	4	account	account	VERB
concept-1835	202	5	for	for	ADP
concept-1835	202	6	these	these	DET
concept-1835	202	7	highways	highway	NOUN
concept-1835	202	8	,	,	PUNCT
concept-1835	202	9	exits	exit	VERB
concept-1835	202	10	were	be	AUX
concept-1835	202	11	added	add	VERB
concept-1835	202	12	at	at	ADP
concept-1835	202	13	the	the	DET
concept-1835	202	14	end	end	NOUN
concept-1835	202	15	of	of	ADP
concept-1835	202	16	these	these	DET
concept-1835	202	17	highway	highway	NOUN
concept-1835	202	18	segments	segment	NOUN
concept-1835	202	19	and	and	CCONJ
concept-1835	202	20	given	give	VERB
concept-1835	202	21	a	a	DET
concept-1835	202	22	starting	start	VERB
concept-1835	202	23	population	population	NOUN
concept-1835	202	24	=	=	PUNCT
concept-1835	202	25	9999	9999	NUM
concept-1835	202	26	and	and	CCONJ
concept-1835	202	27	number	number	NOUN
concept-1835	202	28	of	of	ADP
concept-1835	202	29	workers	worker	NOUN
concept-1835	202	30	=	=	SYM
concept-1835	202	31	10000	10000	NUM
concept-1835	202	32	.	.	PUNCT
concept-1835	203	1	these	these	DET
concept-1835	203	2	false	false	ADJ
concept-1835	203	3	exits	exit	NOUN
concept-1835	203	4	provide	provide	VERB
concept-1835	203	5	a	a	DET
concept-1835	203	6	buffer	buffer	NOUN
concept-1835	203	7	to	to	ADP
concept-1835	203	8	the	the	DET
concept-1835	203	9	road	road	NOUN
concept-1835	203	10	network	network	NOUN
concept-1835	203	11	to	to	AUX
concept-1835	203	12	more	more	ADV
concept-1835	203	13	realistically	realistically	ADV
concept-1835	203	14	replicate	replicate	VERB
concept-1835	203	15	traffic	traffic	NOUN
concept-1835	203	16	conditions	condition	NOUN
concept-1835	203	17	at	at	ADP
concept-1835	203	18	the	the	DET
concept-1835	203	19	edge	edge	NOUN
concept-1835	203	20	of	of	ADP
concept-1835	203	21	the	the	DET
concept-1835	203	22	network	network	NOUN
concept-1835	203	23	.	.	PUNCT
concept-1835	204	1	also	also	ADV
concept-1835	204	2	,	,	PUNCT
concept-1835	204	3	these	these	DET
concept-1835	204	4	false	false	ADJ
concept-1835	204	5	exits	exit	NOUN
concept-1835	204	6	provide	provide	VERB
concept-1835	204	7	a	a	DET
concept-1835	204	8	way	way	NOUN
concept-1835	204	9	to	to	PART
concept-1835	204	10	represent	represent	VERB
concept-1835	204	11	traffic	traffic	NOUN
concept-1835	204	12	coming	come	VERB
concept-1835	204	13	into	into	ADP
concept-1835	204	14	or	or	CCONJ
concept-1835	204	15	leaving	leave	VERB
concept-1835	204	16	the	the	DET
concept-1835	204	17	highway	highway	NOUN
concept-1835	204	18	network	network	NOUN
concept-1835	204	19	at	at	ADP
concept-1835	204	20	the	the	DET
concept-1835	204	21	edges	edge	NOUN
concept-1835	204	22	.	.	PUNCT
concept-1835	205	1	data	datum	NOUN
concept-1835	205	2	analysis	analysis	NOUN
concept-1835	205	3	four	four	NUM
concept-1835	205	4	versions	version	NOUN
concept-1835	205	5	of	of	ADP
concept-1835	205	6	this	this	DET
concept-1835	205	7	model	model	NOUN
concept-1835	205	8	were	be	AUX
concept-1835	205	9	executed	execute	VERB
concept-1835	205	10	and	and	CCONJ
concept-1835	205	11	analyzed	analyze	VERB
concept-1835	205	12	.	.	PUNCT
concept-1835	206	1	these	these	DET
concept-1835	206	2	versions	version	NOUN
concept-1835	206	3	are	be	AUX
concept-1835	206	4	a	a	DET
concept-1835	206	5	result	result	NOUN
concept-1835	206	6	of	of	ADP
concept-1835	206	7	manipulating	manipulate	VERB
concept-1835	206	8	the	the	DET
concept-1835	206	9	radius	radius	NOUN
concept-1835	206	10	around	around	ADP
concept-1835	206	11	exits	exit	NOUN
concept-1835	206	12	in	in	ADP
concept-1835	206	13	which	which	PRON
concept-1835	206	14	population	population	NOUN
concept-1835	206	15	and	and	CCONJ
concept-1835	206	16	number	number	NOUN
concept-1835	206	17	of	of	ADP
concept-1835	206	18	workers	worker	NOUN
concept-1835	206	19	were	be	AUX
concept-1835	206	20	considered	consider	VERB
concept-1835	206	21	.	.	PUNCT
concept-1835	207	1	to	to	PART
concept-1835	207	2	evaluate	evaluate	VERB
concept-1835	207	3	the	the	DET
concept-1835	207	4	models	model	NOUN
concept-1835	207	5	’	'	PUNCT
concept-1835	207	6	abilities	ability	NOUN
concept-1835	207	7	to	to	PART
concept-1835	207	8	predict	predict	VERB
concept-1835	207	9	heavy	heavy	ADJ
concept-1835	207	10	traffic	traffic	NOUN
concept-1835	207	11	,	,	PUNCT
concept-1835	207	12	the	the	DET
concept-1835	207	13	results	result	NOUN
concept-1835	207	14	of	of	ADP
concept-1835	207	15	each	each	DET
concept-1835	207	16	model	model	NOUN
concept-1835	207	17	were	be	AUX
concept-1835	207	18	compared	compare	VERB
concept-1835	207	19	to	to	ADP
concept-1835	207	20	historical	historical	ADJ
concept-1835	207	21	data	datum	NOUN
concept-1835	207	22	(	(	PUNCT
concept-1835	207	23	google	google	PROPN
concept-1835	207	24	maps	map	NOUN
concept-1835	207	25	,	,	PUNCT
concept-1835	207	26	2013	2013	NUM
concept-1835	207	27	)	)	PUNCT
concept-1835	207	28	.	.	PUNCT
concept-1835	208	1	the	the	DET
concept-1835	208	2	highway	highway	NOUN
concept-1835	208	3	capacity	capacity	NOUN
concept-1835	208	4	manual	manual	NOUN
concept-1835	208	5	for	for	ADP
concept-1835	208	6	2010	2010	NUM
concept-1835	208	7	describes	describe	VERB
concept-1835	208	8	levels	level	NOUN
concept-1835	208	9	of	of	ADP
concept-1835	208	10	services	service	NOUN
concept-1835	208	11	,	,	PUNCT
concept-1835	208	12	which	which	PRON
concept-1835	208	13	relate	relate	VERB
concept-1835	208	14	the	the	DET
concept-1835	208	15	traffic	traffic	NOUN
concept-1835	208	16	densities	density	NOUN
concept-1835	208	17	to	to	ADP
concept-1835	208	18	relative	relative	ADJ
concept-1835	208	19	heaviness	heaviness	NOUN
concept-1835	208	20	of	of	ADP
concept-1835	208	21	traffic	traffic	NOUN
concept-1835	208	22	flow	flow	NOUN
concept-1835	208	23	(	(	PUNCT
concept-1835	208	24	transportation	transportation	NOUN
concept-1835	208	25	reseach	reseach	PROPN
concept-1835	208	26	board	board	NOUN
concept-1835	208	27	,	,	PUNCT
concept-1835	208	28	2011	2011	NUM
concept-1835	208	29	)	)	PUNCT
concept-1835	208	30	.	.	PUNCT
concept-1835	209	1	the	the	DET
concept-1835	209	2	number	number	NOUN
concept-1835	209	3	of	of	ADP
concept-1835	209	4	lanes	lane	NOUN
concept-1835	209	5	on	on	ADP
concept-1835	209	6	each	each	DET
concept-1835	209	7	highway	highway	NOUN
concept-1835	209	8	segment	segment	NOUN
concept-1835	209	9	was	be	AUX
concept-1835	209	10	determined	determine	VERB
concept-1835	209	11	in	in	ADP
concept-1835	209	12	order	order	NOUN
concept-1835	209	13	to	to	PART
concept-1835	209	14	calculate	calculate	VERB
concept-1835	209	15	vehicle	vehicle	NOUN
concept-1835	209	16	density	density	NOUN
concept-1835	209	17	(	(	PUNCT
concept-1835	209	18	ito	ito	PROPN
concept-1835	209	19	map	map	NOUN
concept-1835	209	20	,	,	PUNCT
concept-1835	209	21	2013	2013	NUM
concept-1835	209	22	)	)	PUNCT
concept-1835	209	23	.	.	PUNCT
concept-1835	210	1	for	for	ADP
concept-1835	210	2	this	this	DET
concept-1835	210	3	paper	paper	NOUN
concept-1835	210	4	,	,	PUNCT
concept-1835	210	5	levels	level	NOUN
concept-1835	210	6	of	of	ADP
concept-1835	210	7	service	service	NOUN
concept-1835	210	8	of	of	ADP
concept-1835	210	9	c	c	PROPN
concept-1835	210	10	(	(	PUNCT
concept-1835	210	11	18	18	NUM
concept-1835	210	12	pc	pc	NOUN
concept-1835	210	13	/	/	SYM
concept-1835	210	14	mi	mi	NOUN
concept-1835	210	15	/	/	SYM
concept-1835	210	16	ln	ln	NOUN
concept-1835	210	17	)	)	PUNCT
concept-1835	210	18	or	or	CCONJ
concept-1835	210	19	greater	great	ADJ
concept-1835	210	20	were	be	AUX
concept-1835	210	21	considered	consider	VERB
concept-1835	210	22	heavy	heavy	ADJ
concept-1835	210	23	for	for	SCONJ
concept-1835	210	24	the	the	DET
concept-1835	210	25	models	model	NOUN
concept-1835	210	26	based	base	VERB
concept-1835	210	27	on	on	ADP
concept-1835	210	28	populations	population	NOUN
concept-1835	210	29	within	within	ADP
concept-1835	210	30	1	1	NUM
concept-1835	210	31	mile	mile	NOUN
concept-1835	210	32	of	of	ADP
concept-1835	210	33	exits	exit	NOUN
concept-1835	210	34	and	and	CCONJ
concept-1835	210	35	levels	level	NOUN
concept-1835	210	36	of	of	ADP
concept-1835	210	37	service	service	NOUN
concept-1835	210	38	d	d	PROPN
concept-1835	210	39	(	(	PUNCT
concept-1835	210	40	26	26	NUM
concept-1835	210	41	pc	pc	NOUN
concept-1835	210	42	/	/	SYM
concept-1835	210	43	mi	mi	NOUN
concept-1835	210	44	/	/	SYM
concept-1835	210	45	ln	ln	NOUN
concept-1835	210	46	)	)	PUNCT
concept-1835	210	47	or	or	CCONJ
concept-1835	210	48	  	  	SPACE
concept-1835	210	49	greater	great	ADJ
concept-1835	210	50	were	be	AUX
concept-1835	210	51	considered	consider	VERB
concept-1835	210	52	heavy	heavy	ADJ
concept-1835	210	53	for	for	ADP
concept-1835	210	54	models	model	NOUN
concept-1835	210	55	based	base	VERB
concept-1835	210	56	on	on	ADP
concept-1835	210	57	populations	population	NOUN
concept-1835	210	58	within	within	ADP
concept-1835	210	59	2	2	NUM
concept-1835	210	60	miles	mile	NOUN
concept-1835	210	61	of	of	ADP
concept-1835	210	62	exits	exit	NOUN
concept-1835	210	63	.	.	PUNCT
concept-1835	211	1	the	the	DET
concept-1835	211	2	positive	positive	ADJ
concept-1835	211	3	predictive	predictive	ADJ
concept-1835	211	4	value	value	NOUN
concept-1835	211	5	(	(	PUNCT
concept-1835	211	6	ppv	ppv	NOUN
concept-1835	211	7	)	)	PUNCT
concept-1835	211	8	was	be	AUX
concept-1835	211	9	determined	determine	VERB
concept-1835	211	10	for	for	ADP
concept-1835	211	11	each	each	DET
concept-1835	211	12	hour	hour	NOUN
concept-1835	211	13	between	between	ADP
concept-1835	211	14	7	7	NUM
concept-1835	211	15	am	am	NOUN
concept-1835	211	16	and	and	CCONJ
concept-1835	211	17	7	7	NUM
concept-1835	211	18	pm	pm	NOUN
concept-1835	211	19	for	for	ADP
concept-1835	211	20	each	each	DET
concept-1835	211	21	weekday	weekday	NOUN
concept-1835	211	22	.	.	PUNCT
concept-1835	212	1	positive	positive	ADJ
concept-1835	212	2	predictive	predictive	ADJ
concept-1835	212	3	value	value	NOUN
concept-1835	212	4	is	be	AUX
concept-1835	212	5	obtained	obtain	VERB
concept-1835	212	6	through	through	ADP
concept-1835	212	7	application	application	NOUN
concept-1835	212	8	of	of	ADP
concept-1835	212	9	bayes	bayes	PROPN
concept-1835	212	10	’	'	PUNCT
concept-1835	212	11	theorem	theorem	VERB
concept-1835	212	12	.	.	PUNCT
concept-1835	213	1	the	the	DET
concept-1835	213	2	goal	goal	NOUN
concept-1835	213	3	is	be	AUX
concept-1835	213	4	to	to	PART
concept-1835	213	5	determine	determine	VERB
concept-1835	213	6	the	the	DET
concept-1835	213	7	conditional	conditional	ADJ
concept-1835	213	8	probability	probability	NOUN
concept-1835	213	9	that	that	SCONJ
concept-1835	213	10	there	there	PRON
concept-1835	213	11	will	will	AUX
concept-1835	213	12	be	be	AUX
concept-1835	213	13	heavy	heavy	ADJ
concept-1835	213	14	traffic	traffic	NOUN
concept-1835	213	15	,	,	PUNCT
concept-1835	213	16	given	give	VERB
concept-1835	213	17	that	that	SCONJ
concept-1835	213	18	the	the	DET
concept-1835	213	19	model	model	NOUN
concept-1835	213	20	predicts	predict	VERB
concept-1835	213	21	heavy	heavy	ADJ
concept-1835	213	22	traffic	traffic	NOUN
concept-1835	213	23	.	.	PUNCT
concept-1835	214	1	let	let	VERB
concept-1835	214	2	h	h	NOUN
concept-1835	214	3	be	be	AUX
concept-1835	214	4	the	the	DET
concept-1835	214	5	event	event	NOUN
concept-1835	214	6	that	that	SCONJ
concept-1835	214	7	there	there	PRON
concept-1835	214	8	is	be	VERB
concept-1835	214	9	heavy	heavy	ADJ
concept-1835	214	10	traffic	traffic	NOUN
concept-1835	214	11	on	on	ADP
concept-1835	214	12	a	a	DET
concept-1835	214	13	highway	highway	NOUN
concept-1835	214	14	segment	segment	NOUN
concept-1835	214	15	,	,	PUNCT
concept-1835	214	16	then	then	ADV
concept-1835	214	17	:	:	PUNCT
concept-1835	214	18	ppv	ppv	NOUN
concept-1835	214	19	=	=	PUNCT
concept-1835	215	1	p	p	NOUN
concept-1835	215	2	h	h	NOUN
concept-1835	215	3	   	   	SPACE
concept-1835	215	4	predict	predict	VERB
concept-1835	215	5	 	 	SPACE
concept-1835	215	6	h	h	NOUN
concept-1835	215	7	)	)	PUNCT
concept-1835	215	8	=	=	PUNCT
concept-1835	215	9	  	  	SPACE
concept-1835	215	10	p	p	NOUN
concept-1835	215	11	predict	predict	VERB
concept-1835	215	12	 	 	SPACE
concept-1835	215	13	h	h	NOUN
concept-1835	215	14	   	   	SPACE
concept-1835	215	15	h	h	NOUN
concept-1835	215	16	)	)	PUNCT
concept-1835	215	17	∙	∙	PROPN
concept-1835	215	18	p(h	p(h	NOUN
concept-1835	215	19	)	)	PUNCT
concept-1835	216	1	p	p	NOUN
concept-1835	216	2	predict	predict	VERB
concept-1835	216	3	 	 	SPACE
concept-1835	216	4	h	h	NOUN
concept-1835	216	5	   	   	SPACE
concept-1835	216	6	h	h	NOUN
concept-1835	216	7	)	)	PUNCT
concept-1835	216	8	∙	∙	PROPN
concept-1835	216	9	p	p	NOUN
concept-1835	216	10	h	h	NOUN
concept-1835	217	1	+	+	CCONJ
concept-1835	217	2	p	p	NOUN
concept-1835	217	3	predict	predict	VERB
concept-1835	217	4	 	 	SPACE
concept-1835	217	5	h	h	NOUN
concept-1835	217	6	   	   	SPACE
concept-1835	217	7	not	not	PART
concept-1835	217	8	 	 	SPACE
concept-1835	217	9	h	h	NOUN
concept-1835	217	10	)	)	PUNCT
concept-1835	217	11	∙	∙	PROPN
concept-1835	217	12	p(not	p(not	PROPN
concept-1835	217	13	 	 	SPACE
concept-1835	217	14	h	h	NOUN
concept-1835	217	15	)	)	PUNCT
concept-1835	217	16	the	the	DET
concept-1835	217	17	positive	positive	ADJ
concept-1835	217	18	predictive	predictive	ADJ
concept-1835	217	19	value	value	NOUN
concept-1835	217	20	is	be	AUX
concept-1835	217	21	a	a	DET
concept-1835	217	22	measure	measure	NOUN
concept-1835	217	23	of	of	ADP
concept-1835	217	24	the	the	DET
concept-1835	217	25	true	true	ADJ
concept-1835	217	26	positive	positive	ADJ
concept-1835	217	27	rate	rate	NOUN
concept-1835	217	28	of	of	ADP
concept-1835	217	29	heavy	heavy	ADJ
concept-1835	217	30	traffic	traffic	NOUN
concept-1835	217	31	compared	compare	VERB
concept-1835	217	32	to	to	ADP
concept-1835	217	33	the	the	DET
concept-1835	217	34	total	total	ADJ
concept-1835	217	35	number	number	NOUN
concept-1835	217	36	of	of	ADP
concept-1835	217	37	predicted	predict	VERB
concept-1835	217	38	heavy	heavy	ADJ
concept-1835	217	39	traffic	traffic	NOUN
concept-1835	217	40	areas	area	NOUN
concept-1835	217	41	.	.	PUNCT
concept-1835	218	1	this	this	DET
concept-1835	218	2	value	value	NOUN
concept-1835	218	3	allows	allow	VERB
concept-1835	218	4	the	the	DET
concept-1835	218	5	models	model	NOUN
concept-1835	218	6	to	to	PART
concept-1835	218	7	be	be	AUX
concept-1835	218	8	compared	compare	VERB
concept-1835	218	9	to	to	ADP
concept-1835	218	10	each	each	DET
concept-1835	218	11	other	other	ADJ
concept-1835	218	12	and	and	CCONJ
concept-1835	218	13	shows	show	VERB
concept-1835	218	14	how	how	SCONJ
concept-1835	218	15	likely	likely	ADJ
concept-1835	218	16	their	their	PRON
concept-1835	218	17	predictions	prediction	NOUN
concept-1835	218	18	are	be	AUX
concept-1835	218	19	to	to	PART
concept-1835	218	20	be	be	AUX
concept-1835	218	21	correct	correct	ADJ
concept-1835	218	22	.	.	PUNCT
concept-1835	219	1	the	the	DET
concept-1835	219	2	models	model	NOUN
concept-1835	219	3	will	will	AUX
concept-1835	219	4	be	be	AUX
concept-1835	219	5	referred	refer	VERB
concept-1835	219	6	to	to	ADP
concept-1835	219	7	by	by	ADP
concept-1835	219	8	the	the	DET
concept-1835	219	9	following	following	NOUN
concept-1835	219	10	for	for	ADP
concept-1835	219	11	the	the	DET
concept-1835	219	12	rest	rest	NOUN
concept-1835	219	13	of	of	ADP
concept-1835	219	14	this	this	DET
concept-1835	219	15	paper	paper	NOUN
concept-1835	219	16	:	:	PUNCT
concept-1835	219	17	1	1	NUM
concept-1835	219	18	miles	mile	NOUN
concept-1835	219	19	population	population	NOUN
concept-1835	219	20	radius	radius	NOUN
concept-1835	219	21	2	2	NUM
concept-1835	219	22	mile	mile	NOUN
concept-1835	219	23	population	population	NOUN
concept-1835	219	24	radius	radius	NOUN
concept-1835	219	25	1	1	NUM
concept-1835	219	26	mile	mile	NOUN
concept-1835	219	27	workers	worker	NOUN
concept-1835	219	28	radius	radius	NOUN
concept-1835	219	29	model	model	NOUN
concept-1835	219	30	a	a	DET
concept-1835	219	31	model	model	NOUN
concept-1835	219	32	b	b	PROPN
concept-1835	219	33	2	2	NUM
concept-1835	219	34	mile	mile	NOUN
concept-1835	219	35	workers	worker	NOUN
concept-1835	219	36	radius	radius	NOUN
concept-1835	219	37	model	model	NOUN
concept-1835	219	38	c	c	PROPN
concept-1835	219	39	model	model	NOUN
concept-1835	220	1	d	d	ADP
concept-1835	220	2	positive	positive	ADJ
concept-1835	220	3	predictive	predictive	ADJ
concept-1835	220	4	value	value	NOUN
concept-1835	220	5	of	of	ADP
concept-1835	220	6	models	model	NOUN
concept-1835	220	7	(	(	PUNCT
concept-1835	220	8	pop	pop	NOUN
concept-1835	220	9	,	,	PUNCT
concept-1835	220	10	workers	worker	NOUN
concept-1835	220	11	)	)	PUNCT
concept-1835	220	12	model	model	NOUN
concept-1835	220	13	a	a	DET
concept-1835	220	14	(	(	PUNCT
concept-1835	220	15	1,1	1,1	NUM
concept-1835	220	16	)	)	PUNCT
concept-1835	220	17	model	model	NOUN
concept-1835	220	18	b	b	PROPN
concept-1835	220	19	(	(	PUNCT
concept-1835	220	20	2,1	2,1	NUM
concept-1835	220	21	)	)	PUNCT
concept-1835	220	22	model	model	NOUN
concept-1835	220	23	c	c	PROPN
concept-1835	220	24	(	(	PUNCT
concept-1835	220	25	1,2	1,2	NUM
concept-1835	220	26	)	)	PUNCT
concept-1835	220	27	model	model	NOUN
concept-1835	220	28	d	d	PROPN
concept-1835	220	29	(	(	PUNCT
concept-1835	220	30	2,2	2,2	NUM
concept-1835	220	31	)	)	PUNCT
concept-1835	220	32	overall	overall	NOUN
concept-1835	220	33	0.52086	0.52086	NUM
concept-1835	221	1	0.42116	0.42116	NUM
concept-1835	221	2	0.52319	0.52319	NUM
concept-1835	221	3	0.41645	0.41645	NUM
concept-1835	221	4	monday	monday	NOUN
concept-1835	221	5	0.38129	0.38129	NUM
concept-1835	221	6	0.30717	0.30717	NUM
concept-1835	221	7	0.36957	0.36957	NUM
concept-1835	222	1	0.29934	0.29934	NUM
concept-1835	222	2	tuesday	tuesday	NOUN
concept-1835	222	3	0.42446	0.42446	NUM
concept-1835	222	4	0.35836	0.35836	NUM
concept-1835	222	5	0.42029	0.42029	NUM
concept-1835	222	6	0.34868	0.34868	NUM
concept-1835	222	7	wednesday	wednesday	PROPN
concept-1835	222	8	0.56835	0.56835	NUM
concept-1835	222	9	0.44369	0.44369	NUM
concept-1835	222	10	0.55797	0.55797	NUM
concept-1835	222	11	0.43421	0.43421	NUM
concept-1835	222	12	thursday	thursday	NOUN
concept-1835	222	13	0.58273	0.58273	NUM
concept-1835	222	14	0.48805	0.48805	NUM
concept-1835	222	15	0.60145	0.60145	NUM
concept-1835	222	16	0.64748	0.64748	NUM
concept-1835	222	17	friday	friday	PROPN
concept-1835	222	18	0.64748	0.64748	NUM
concept-1835	222	19	0.50853	0.50853	NUM
concept-1835	222	20	0.66667	0.66667	NUM
concept-1835	222	21	0.51974	0.51974	NUM
concept-1835	222	22	7	7	NUM
concept-1835	222	23	am	am	NOUN
concept-1835	222	24	0.3	0.3	NUM
concept-1835	222	25	0.44286	0.44286	NUM
concept-1835	222	26	0.25714	0.25714	NUM
concept-1835	222	27	0.4	0.4	NUM
concept-1835	222	28	8	8	NUM
concept-1835	222	29	am	am	NOUN
concept-1835	222	30	0.76923	0.76923	NUM
concept-1835	222	31	0.65714	0.65714	NUM
concept-1835	222	32	0.8	0.8	NUM
concept-1835	222	33	0.60869	0.60869	NUM
concept-1835	222	34	9	9	NUM
concept-1835	222	35	am	am	NOUN
concept-1835	222	36	0.78333	0.78333	NUM
concept-1835	222	37	0.71765	0.71765	NUM
concept-1835	222	38	0.76364	0.76364	NUM
concept-1835	222	39	0.67777	0.67777	NUM
concept-1835	222	40	10	10	NUM
concept-1835	222	41	am	am	NOUN
concept-1835	222	42	0.31429	0.31429	NUM
concept-1835	222	43	0.38824	0.38824	NUM
concept-1835	222	44	0.31429	0.31429	NUM
concept-1835	222	45	0.4125	0.4125	NUM
concept-1835	222	46	  	  	SPACE
concept-1835	222	47	11	11	NUM
concept-1835	222	48	am	am	NOUN
concept-1835	222	49	0.22	0.22	NUM
concept-1835	222	50	0.22857	0.22857	NUM
concept-1835	222	51	0.22222	0.22222	NUM
concept-1835	222	52	0.2125	0.2125	NUM
concept-1835	222	53	12	12	NUM
concept-1835	222	54	pm	pm	NOUN
concept-1835	222	55	0.3	0.3	NUM
concept-1835	222	56	0.2625	0.2625	NUM
concept-1835	222	57	0.3	0.3	NUM
concept-1835	222	58	0.23333	0.23333	NUM
concept-1835	222	59	1	1	NUM
concept-1835	222	60	pm	pm	NOUN
concept-1835	222	61	0.28	0.28	NUM
concept-1835	222	62	0.24706	0.24706	NUM
concept-1835	222	63	0.28	0.28	NUM
concept-1835	222	64	0.23333	0.23333	NUM
concept-1835	222	65	2	2	NUM
concept-1835	222	66	pm	pm	NOUN
concept-1835	222	67	0.32	0.32	NUM
concept-1835	222	68	0.29412	0.29412	NUM
concept-1835	222	69	0.3	0.3	NUM
concept-1835	222	70	0.28421	0.28421	NUM
concept-1835	222	71	3	3	NUM
concept-1835	222	72	pm	pm	NOUN
concept-1835	222	73	0.6	0.6	NUM
concept-1835	222	74	0.55	0.55	NUM
concept-1835	222	75	0.62	0.62	NUM
concept-1835	222	76	0.56	0.56	NUM
concept-1835	222	77	4	4	NUM
concept-1835	222	78	pm	pm	NOUN
concept-1835	222	79	0.76923	0.76923	NUM
concept-1835	222	80	0.63077	0.63077	NUM
concept-1835	222	81	0.76923	0.76923	NUM
concept-1835	222	82	0.65385	0.65385	NUM
concept-1835	222	83	5	5	NUM
concept-1835	222	84	pm	pm	NOUN
concept-1835	222	85	0.78462	0.78462	NUM
concept-1835	222	86	0.68889	0.68889	NUM
concept-1835	222	87	0.78462	0.78462	NUM
concept-1835	222	88	0.66207	0.66207	NUM
concept-1835	222	89	6	6	NUM
concept-1835	222	90	pm	pm	NOUN
concept-1835	222	91	0.6	0.6	NUM
concept-1835	222	92	0.58519	0.58519	NUM
concept-1835	222	93	0.69231	0.69231	NUM
concept-1835	222	94	0.59286	0.59286	NUM
concept-1835	222	95	7	7	NUM
concept-1835	222	96	pm	pm	NOUN
concept-1835	222	97	0.52086	0.52086	NUM
concept-1835	222	98	0.42116	0.42116	NUM
concept-1835	222	99	0.52319	0.52319	NUM
concept-1835	222	100	0.41645	0.41645	NUM
concept-1835	222	101	graphs	graph	NOUN
concept-1835	222	102	of	of	ADP
concept-1835	222	103	positive	positive	ADJ
concept-1835	222	104	predictive	predictive	ADJ
concept-1835	222	105	value	value	NOUN
concept-1835	222	106	0	0	NUM
concept-1835	222	107	0.1	0.1	NUM
concept-1835	222	108	0.2	0.2	NUM
concept-1835	222	109	0.3	0.3	NUM
concept-1835	222	110	0.4	0.4	NUM
concept-1835	222	111	0.5	0.5	NUM
concept-1835	222	112	0.6	0.6	NUM
concept-1835	222	113	a	a	DET
concept-1835	222	114	b	b	NOUN
concept-1835	222	115	c	c	NOUN
concept-1835	223	1	d	d	X
concept-1835	223	2	pp	pp	PROPN
concept-1835	223	3	v	v	PROPN
concept-1835	223	4	model	model	NOUN
concept-1835	223	5	overall	overall	ADJ
concept-1835	223	6	positive	positive	ADJ
concept-1835	223	7	predictive	predictive	ADJ
concept-1835	223	8	value	value	NOUN
concept-1835	223	9	  	  	SPACE
concept-1835	223	10	a	a	DET
concept-1835	223	11	comparison	comparison	NOUN
concept-1835	223	12	of	of	ADP
concept-1835	223	13	the	the	DET
concept-1835	223	14	models	model	NOUN
concept-1835	223	15	indicates	indicate	VERB
concept-1835	223	16	a	a	DET
concept-1835	223	17	greater	great	ADJ
concept-1835	223	18	sensitivity	sensitivity	NOUN
concept-1835	223	19	to	to	ADP
concept-1835	223	20	the	the	DET
concept-1835	223	21	population	population	NOUN
concept-1835	223	22	radius	radius	NOUN
concept-1835	223	23	than	than	SCONJ
concept-1835	223	24	the	the	DET
concept-1835	223	25	workers	worker	NOUN
concept-1835	223	26	radius	radius	VERB
concept-1835	223	27	.	.	PUNCT
concept-1835	224	1	this	this	PRON
concept-1835	224	2	is	be	AUX
concept-1835	224	3	most	most	ADV
concept-1835	224	4	clearly	clearly	ADV
concept-1835	224	5	observed	observe	VERB
concept-1835	224	6	when	when	SCONJ
concept-1835	224	7	evaluating	evaluate	VERB
concept-1835	224	8	the	the	DET
concept-1835	224	9	day	day	NOUN
concept-1835	224	10	-	-	PUNCT
concept-1835	224	11	to	to	ADP
concept-1835	224	12	-	-	PUNCT
concept-1835	224	13	day	day	NOUN
concept-1835	224	14	change	change	NOUN
concept-1835	224	15	in	in	ADP
concept-1835	224	16	ppv	ppv	NOUN
concept-1835	224	17	.	.	PUNCT
concept-1835	225	1	in	in	ADP
concept-1835	225	2	general	general	ADJ
concept-1835	225	3	,	,	PUNCT
concept-1835	225	4	the	the	DET
concept-1835	225	5	predictive	predictive	ADJ
concept-1835	225	6	value	value	NOUN
concept-1835	225	7	was	be	AUX
concept-1835	225	8	higher	high	ADJ
concept-1835	225	9	during	during	ADP
concept-1835	225	10	times	time	NOUN
concept-1835	225	11	in	in	ADP
concept-1835	225	12	which	which	PRON
concept-1835	225	13	the	the	DET
concept-1835	225	14	relative	relative	ADJ
concept-1835	225	15	traffic	traffic	NOUN
concept-1835	225	16	volumes	volume	NOUN
concept-1835	225	17	were	be	AUX
concept-1835	225	18	higher	high	ADJ
concept-1835	225	19	.	.	PUNCT
concept-1835	226	1	models	model	NOUN
concept-1835	226	2	a	a	PRON
concept-1835	226	3	and	and	CCONJ
concept-1835	226	4	c	c	PROPN
concept-1835	226	5	performed	perform	VERB
concept-1835	226	6	well	well	ADV
concept-1835	226	7	,	,	PUNCT
concept-1835	226	8	0.3	0.3	NUM
concept-1835	226	9	0.35	0.35	NUM
concept-1835	226	10	0.4	0.4	NUM
concept-1835	226	11	0.45	0.45	NUM
concept-1835	226	12	0.5	0.5	NUM
concept-1835	226	13	0.55	0.55	NUM
concept-1835	226	14	0.6	0.6	NUM
concept-1835	226	15	0.65	0.65	NUM
concept-1835	226	16	0.7	0.7	NUM
concept-1835	226	17	monday	monday	PROPN
concept-1835	226	18	tuesday	tuesday	PROPN
concept-1835	226	19	wednesday	wednesday	PROPN
concept-1835	226	20	thursday	thursday	PROPN
concept-1835	226	21	friday	friday	PROPN
concept-1835	227	1	pp	pp	PROPN
concept-1835	227	2	v	v	PROPN
concept-1835	227	3	day	day	NOUN
concept-1835	227	4	positive	positive	ADJ
concept-1835	227	5	predictive	predictive	ADJ
concept-1835	227	6	value	value	NOUN
concept-1835	227	7	by	by	ADP
concept-1835	227	8	day	day	NOUN
concept-1835	227	9	model	model	NOUN
concept-1835	227	10	a	a	DET
concept-1835	227	11	model	model	NOUN
concept-1835	227	12	b	b	PROPN
concept-1835	227	13	model	model	NOUN
concept-1835	227	14	c	c	PROPN
concept-1835	227	15	model	model	NOUN
concept-1835	227	16	d	d	PROPN
concept-1835	227	17	0.2	0.2	NUM
concept-1835	227	18	0.3	0.3	NUM
concept-1835	227	19	0.4	0.4	NUM
concept-1835	227	20	0.5	0.5	NUM
concept-1835	227	21	0.6	0.6	NUM
concept-1835	227	22	0.7	0.7	NUM
concept-1835	227	23	0.8	0.8	NUM
concept-1835	227	24	7	7	NUM
concept-1835	227	25	8	8	NUM
concept-1835	227	26	9	9	NUM
concept-1835	227	27	10	10	NUM
concept-1835	227	28	11	11	NUM
concept-1835	227	29	12	12	NUM
concept-1835	227	30	13	13	NUM
concept-1835	227	31	14	14	NUM
concept-1835	227	32	15	15	NUM
concept-1835	227	33	16	16	NUM
concept-1835	227	34	17	17	NUM
concept-1835	227	35	18	18	NUM
concept-1835	227	36	19	19	NUM
concept-1835	227	37	pp	pp	NUM
concept-1835	227	38	v	v	NOUN
concept-1835	227	39	hour	hour	NOUN
concept-1835	227	40	positive	positive	ADJ
concept-1835	227	41	predictive	predictive	ADJ
concept-1835	227	42	value	value	NOUN
concept-1835	227	43	by	by	ADP
concept-1835	227	44	hour	hour	NOUN
concept-1835	227	45	model	model	NOUN
concept-1835	227	46	a	a	DET
concept-1835	227	47	model	model	NOUN
concept-1835	227	48	b	b	PROPN
concept-1835	227	49	model	model	NOUN
concept-1835	227	50	c	c	PROPN
concept-1835	227	51	model	model	NOUN
concept-1835	228	1	d	d	PROPN
concept-1835	228	2	  	  	SPACE
concept-1835	228	3	with	with	ADP
concept-1835	228	4	overall	overall	ADJ
concept-1835	228	5	ppvs	ppv	NOUN
concept-1835	228	6	of	of	ADP
concept-1835	228	7	0.52086	0.52086	NUM
concept-1835	228	8	and	and	CCONJ
concept-1835	228	9	0.52319	0.52319	NUM
concept-1835	228	10	respectively	respectively	ADV
concept-1835	228	11	.	.	PUNCT
concept-1835	229	1	both	both	DET
concept-1835	229	2	models	model	NOUN
concept-1835	229	3	considered	consider	VERB
concept-1835	229	4	populations	population	NOUN
concept-1835	229	5	within	within	ADP
concept-1835	229	6	1	1	NUM
concept-1835	229	7	mile	mile	NOUN
concept-1835	229	8	.	.	PUNCT
concept-1835	230	1	these	these	DET
concept-1835	230	2	models	model	NOUN
concept-1835	230	3	mostly	mostly	ADV
concept-1835	230	4	performed	perform	VERB
concept-1835	230	5	better	well	ADV
concept-1835	230	6	during	during	ADP
concept-1835	230	7	times	time	NOUN
concept-1835	230	8	of	of	ADP
concept-1835	230	9	heavier	heavy	ADJ
concept-1835	230	10	traffic	traffic	NOUN
concept-1835	230	11	,	,	PUNCT
concept-1835	230	12	whereas	whereas	SCONJ
concept-1835	230	13	all	all	DET
concept-1835	230	14	models	model	NOUN
concept-1835	230	15	performed	perform	VERB
concept-1835	230	16	about	about	ADP
concept-1835	230	17	the	the	DET
concept-1835	230	18	same	same	ADJ
concept-1835	230	19	during	during	ADP
concept-1835	230	20	non	non	ADJ
concept-1835	230	21	-	-	ADJ
concept-1835	230	22	peak	peak	ADJ
concept-1835	230	23	hours	hour	NOUN
concept-1835	230	24	.	.	PUNCT
concept-1835	231	1	conclusion	conclusion	NOUN
concept-1835	231	2	the	the	DET
concept-1835	231	3	model	model	NOUN
concept-1835	231	4	presented	present	VERB
concept-1835	231	5	here	here	ADV
concept-1835	231	6	can	can	AUX
concept-1835	231	7	be	be	AUX
concept-1835	231	8	applied	apply	VERB
concept-1835	231	9	to	to	ADP
concept-1835	231	10	any	any	DET
concept-1835	231	11	urban	urban	ADJ
concept-1835	231	12	highway	highway	NOUN
concept-1835	231	13	traffic	traffic	NOUN
concept-1835	231	14	network	network	NOUN
concept-1835	231	15	provided	provide	VERB
concept-1835	231	16	that	that	SCONJ
concept-1835	231	17	sufficient	sufficient	ADJ
concept-1835	231	18	demographic	demographic	ADJ
concept-1835	231	19	data	datum	NOUN
concept-1835	231	20	is	be	AUX
concept-1835	231	21	available	available	ADJ
concept-1835	231	22	for	for	SCONJ
concept-1835	231	23	the	the	DET
concept-1835	231	24	region	region	NOUN
concept-1835	231	25	being	be	AUX
concept-1835	231	26	studied	study	VERB
concept-1835	231	27	.	.	PUNCT
concept-1835	232	1	this	this	PRON
concept-1835	232	2	is	be	AUX
concept-1835	232	3	an	an	DET
concept-1835	232	4	economic	economic	ADJ
concept-1835	232	5	advantage	advantage	NOUN
concept-1835	232	6	over	over	ADP
concept-1835	232	7	other	other	ADJ
concept-1835	232	8	modeling	modeling	NOUN
concept-1835	232	9	methods	method	NOUN
concept-1835	232	10	that	that	PRON
concept-1835	232	11	need	need	VERB
concept-1835	232	12	to	to	PART
concept-1835	232	13	collect	collect	VERB
concept-1835	232	14	and	and	CCONJ
concept-1835	232	15	update	update	VERB
concept-1835	232	16	traffic	traffic	NOUN
concept-1835	232	17	data	datum	NOUN
concept-1835	232	18	to	to	PART
concept-1835	232	19	construct	construct	VERB
concept-1835	232	20	an	an	DET
concept-1835	232	21	origin	origin	NOUN
concept-1835	232	22	-	-	PUNCT
concept-1835	232	23	destination	destination	NOUN
concept-1835	232	24	matrix	matrix	NOUN
concept-1835	232	25	.	.	PUNCT
concept-1835	233	1	an	an	DET
concept-1835	233	2	evaluation	evaluation	NOUN
concept-1835	233	3	of	of	ADP
concept-1835	233	4	these	these	DET
concept-1835	233	5	other	other	ADJ
concept-1835	233	6	models	model	NOUN
concept-1835	233	7	’	'	PUNCT
concept-1835	233	8	predictive	predictive	ADJ
concept-1835	233	9	value	value	NOUN
concept-1835	233	10	may	may	AUX
concept-1835	233	11	give	give	VERB
concept-1835	233	12	insight	insight	NOUN
concept-1835	233	13	into	into	ADP
concept-1835	233	14	whether	whether	SCONJ
concept-1835	233	15	or	or	CCONJ
concept-1835	233	16	not	not	PART
concept-1835	233	17	there	there	PRON
concept-1835	233	18	is	be	VERB
concept-1835	233	19	an	an	DET
concept-1835	233	20	advantage	advantage	NOUN
concept-1835	233	21	to	to	ADP
concept-1835	233	22	using	use	VERB
concept-1835	233	23	them	they	PRON
concept-1835	233	24	.	.	PUNCT
concept-1835	234	1	through	through	ADP
concept-1835	234	2	the	the	DET
concept-1835	234	3	use	use	NOUN
concept-1835	234	4	of	of	ADP
concept-1835	234	5	technology	technology	NOUN
concept-1835	234	6	,	,	PUNCT
concept-1835	234	7	vehicles	vehicle	NOUN
concept-1835	234	8	are	be	AUX
concept-1835	234	9	beginning	begin	VERB
concept-1835	234	10	to	to	PART
concept-1835	234	11	use	use	VERB
concept-1835	234	12	an	an	DET
concept-1835	234	13	adaptive	adaptive	ADJ
concept-1835	234	14	approach	approach	NOUN
concept-1835	234	15	to	to	ADP
concept-1835	234	16	route	route	NOUN
concept-1835	234	17	selection	selection	NOUN
concept-1835	234	18	,	,	PUNCT
concept-1835	234	19	which	which	PRON
concept-1835	234	20	looks	look	VERB
concept-1835	234	21	at	at	ADP
concept-1835	234	22	current	current	ADJ
concept-1835	234	23	traffic	traffic	NOUN
concept-1835	234	24	conditions	condition	NOUN
concept-1835	234	25	along	along	ADP
concept-1835	234	26	with	with	ADP
concept-1835	234	27	predicted	predict	VERB
concept-1835	234	28	conditions	condition	NOUN
concept-1835	234	29	.	.	PUNCT
concept-1835	235	1	vehicles	vehicle	NOUN
concept-1835	235	2	can	can	AUX
concept-1835	235	3	now	now	ADV
concept-1835	235	4	automatically	automatically	ADV
concept-1835	235	5	be	be	AUX
concept-1835	235	6	notified	notify	VERB
concept-1835	235	7	of	of	ADP
concept-1835	235	8	changing	change	VERB
concept-1835	235	9	traffic	traffic	NOUN
concept-1835	235	10	while	while	SCONJ
concept-1835	235	11	en	en	ADP
concept-1835	235	12	route	route	NOUN
concept-1835	235	13	and	and	CCONJ
concept-1835	235	14	adjust	adjust	VERB
concept-1835	235	15	accordingly	accordingly	ADV
concept-1835	235	16	(	(	PUNCT
concept-1835	235	17	dragoi	dragoi	NOUN
concept-1835	235	18	&	&	CCONJ
concept-1835	235	19	dobre	dobre	PROPN
concept-1835	235	20	,	,	PUNCT
concept-1835	235	21	2011	2011	NUM
concept-1835	235	22	)	)	PUNCT
concept-1835	235	23	.	.	PUNCT
concept-1835	236	1	as	as	SCONJ
concept-1835	236	2	traffic	traffic	NOUN
concept-1835	236	3	control	control	NOUN
concept-1835	236	4	technologies	technology	NOUN
concept-1835	236	5	continue	continue	VERB
concept-1835	236	6	to	to	PART
concept-1835	236	7	advance	advance	VERB
concept-1835	236	8	,	,	PUNCT
concept-1835	236	9	our	our	PRON
concept-1835	236	10	ability	ability	NOUN
concept-1835	236	11	to	to	PART
concept-1835	236	12	avoid	avoid	VERB
concept-1835	236	13	traffic	traffic	NOUN
concept-1835	236	14	congestion	congestion	NOUN
concept-1835	236	15	will	will	AUX
concept-1835	236	16	improve	improve	VERB
concept-1835	236	17	and	and	CCONJ
concept-1835	236	18	possibly	possibly	ADV
concept-1835	236	19	change	change	VERB
concept-1835	236	20	our	our	PRON
concept-1835	236	21	disposition	disposition	NOUN
concept-1835	236	22	towards	towards	ADP
concept-1835	236	23	navigating	navigate	VERB
concept-1835	236	24	on	on	ADP
concept-1835	236	25	urban	urban	ADJ
concept-1835	236	26	highway	highway	NOUN
concept-1835	236	27	systems	system	NOUN
concept-1835	236	28	.	.	PUNCT
concept-1835	237	1	bibliography	bibliography	NOUN
concept-1835	237	2	crisostomi	crisostomi	NOUN
concept-1835	237	3	,	,	PUNCT
concept-1835	237	4	e.	e.	PROPN
concept-1835	237	5	,	,	PUNCT
concept-1835	237	6	kirkland	kirkland	PROPN
concept-1835	237	7	,	,	PUNCT
concept-1835	237	8	s.	s.	PROPN
concept-1835	237	9	,	,	PUNCT
concept-1835	237	10	schlote	schlote	VERB
concept-1835	237	11	,	,	PUNCT
concept-1835	237	12	a.	a.	NOUN
concept-1835	237	13	,	,	PUNCT
concept-1835	237	14	&	&	CCONJ
concept-1835	237	15	shorten	shorten	VERB
concept-1835	237	16	,	,	PUNCT
concept-1835	237	17	r.	r.	PROPN
concept-1835	237	18	(	(	PUNCT
concept-1835	237	19	2010	2010	NUM
concept-1835	237	20	)	)	PUNCT
concept-1835	237	21	.	.	PUNCT
concept-1835	238	1	a	a	DET
concept-1835	238	2	google	google	NOUN
concept-1835	238	3	-	-	PUNCT
concept-1835	238	4	like	like	ADJ
concept-1835	238	5	model	model	NOUN
concept-1835	238	6	of	of	ADP
concept-1835	238	7	road	road	NOUN
concept-1835	238	8	network	network	NOUN
concept-1835	238	9	dynamics	dynamic	NOUN
concept-1835	238	10	and	and	CCONJ
concept-1835	238	11	its	its	PRON
concept-1835	238	12	application	application	NOUN
concept-1835	238	13	to	to	ADP
concept-1835	238	14	regulation	regulation	NOUN
concept-1835	238	15	and	and	CCONJ
concept-1835	238	16	control	control	NOUN
concept-1835	238	17	.	.	PUNCT
concept-1835	239	1	international	international	ADJ
concept-1835	239	2	journal	journal	PROPN
concept-1835	239	3	of	of	ADP
concept-1835	239	4	control	control	NOUN
concept-1835	239	5	,	,	PUNCT
concept-1835	239	6	84	84	NUM
concept-1835	239	7	(	(	PUNCT
concept-1835	239	8	3	3	NUM
concept-1835	239	9	)	)	PUNCT
concept-1835	239	10	,	,	PUNCT
concept-1835	239	11	633	633	NUM
concept-1835	239	12	-	-	SYM
concept-1835	239	13	651	651	NUM
concept-1835	239	14	.	.	PUNCT
concept-1835	240	1	dijkstra	dijkstra	PROPN
concept-1835	240	2	,	,	PUNCT
concept-1835	240	3	e.	e.	PROPN
concept-1835	240	4	w.	w.	PROPN
concept-1835	240	5	(	(	PUNCT
concept-1835	240	6	1959	1959	NUM
concept-1835	240	7	)	)	PUNCT
concept-1835	240	8	.	.	PUNCT
concept-1835	241	1	a	a	DET
concept-1835	241	2	note	note	NOUN
concept-1835	241	3	on	on	ADP
concept-1835	241	4	two	two	NUM
concept-1835	241	5	problems	problem	NOUN
concept-1835	241	6	in	in	ADP
concept-1835	241	7	connexion	connexion	NOUN
concept-1835	241	8	with	with	ADP
concept-1835	241	9	graphs	graph	NOUN
concept-1835	241	10	.	.	PUNCT
concept-1835	242	1	numerische	numerische	PROPN
concept-1835	242	2	mathematik	mathematik	PROPN
concept-1835	242	3	,	,	PUNCT
concept-1835	242	4	1	1	NUM
concept-1835	242	5	(	(	PUNCT
concept-1835	242	6	1	1	NUM
concept-1835	242	7	)	)	PUNCT
concept-1835	242	8	,	,	PUNCT
concept-1835	242	9	269	269	NUM
concept-1835	242	10	-	-	SYM
concept-1835	242	11	271	271	NUM
concept-1835	242	12	.	.	X
concept-1835	243	1	dragoi	dragoi	NOUN
concept-1835	243	2	,	,	PUNCT
concept-1835	243	3	v.-a	v.-a	PROPN
concept-1835	243	4	.	.	PROPN
concept-1835	243	5	,	,	PUNCT
concept-1835	243	6	&	&	CCONJ
concept-1835	243	7	dobre	dobre	PROPN
concept-1835	243	8	,	,	PUNCT
concept-1835	243	9	c.	c.	PROPN
concept-1835	243	10	(	(	PUNCT
concept-1835	243	11	2011	2011	NUM
concept-1835	243	12	)	)	PUNCT
concept-1835	243	13	.	.	PUNCT
concept-1835	244	1	a	a	DET
concept-1835	244	2	model	model	NOUN
concept-1835	244	3	for	for	ADP
concept-1835	244	4	traffic	traffic	NOUN
concept-1835	244	5	control	control	NOUN
concept-1835	244	6	in	in	ADP
concept-1835	244	7	urban	urban	ADJ
concept-1835	244	8	environments	environment	NOUN
concept-1835	244	9	.	.	PUNCT
concept-1835	245	1	wireless	wireless	ADJ
concept-1835	245	2	communications	communication	NOUN
concept-1835	245	3	and	and	CCONJ
concept-1835	245	4	mobile	mobile	NOUN
concept-1835	245	5	computing	computing	NOUN
concept-1835	245	6	conference	conference	NOUN
concept-1835	245	7	(	(	PUNCT
concept-1835	245	8	iwcmc	iwcmc	NOUN
concept-1835	245	9	)	)	PUNCT
concept-1835	245	10	,	,	PUNCT
concept-1835	245	11	2011	2011	NUM
concept-1835	245	12	7th	7th	ADJ
concept-1835	245	13	international	international	ADJ
concept-1835	245	14	,	,	PUNCT
concept-1835	245	15	(	(	PUNCT
concept-1835	245	16	pp	pp	ADP
concept-1835	245	17	.	.	PUNCT
concept-1835	246	1	2139	2139	NUM
concept-1835	246	2	-	-	SYM
concept-1835	246	3	2144	2144	NUM
concept-1835	246	4	)	)	PUNCT
concept-1835	246	5	.	.	PUNCT
concept-1835	247	1	gazis	gazi	NOUN
concept-1835	247	2	,	,	PUNCT
concept-1835	247	3	d.	d.	PROPN
concept-1835	247	4	c.	c.	PROPN
concept-1835	247	5	,	,	PUNCT
concept-1835	247	6	herman	herman	PROPN
concept-1835	247	7	,	,	PUNCT
concept-1835	247	8	r.	r.	PROPN
concept-1835	247	9	,	,	PUNCT
concept-1835	247	10	&	&	CCONJ
concept-1835	247	11	rothery	rothery	NOUN
concept-1835	247	12	,	,	PUNCT
concept-1835	247	13	r.	r.	PROPN
concept-1835	247	14	w.	w.	PROPN
concept-1835	247	15	(	(	PUNCT
concept-1835	247	16	1961	1961	NUM
concept-1835	247	17	)	)	PUNCT
concept-1835	247	18	.	.	PUNCT
concept-1835	248	1	nonlinear	nonlinear	ADJ
concept-1835	248	2	follow	follow	VERB
concept-1835	248	3	-	-	PUNCT
concept-1835	248	4	the	the	DET
concept-1835	248	5	-	-	PUNCT
concept-1835	248	6	leader	leader	NOUN
concept-1835	248	7	models	model	NOUN
concept-1835	248	8	of	of	ADP
concept-1835	248	9	traffic	traffic	NOUN
concept-1835	248	10	flow	flow	NOUN
concept-1835	248	11	.	.	PUNCT
concept-1835	249	1	operations	operation	NOUN
concept-1835	249	2	research	research	NOUN
concept-1835	249	3	,	,	PUNCT
concept-1835	249	4	9	9	NUM
concept-1835	249	5	(	(	PUNCT
concept-1835	249	6	4	4	NUM
concept-1835	249	7	)	)	PUNCT
concept-1835	249	8	,	,	PUNCT
concept-1835	249	9	545	545	NUM
concept-1835	249	10	-	-	SYM
concept-1835	249	11	567	567	NUM
concept-1835	249	12	.	.	PUNCT
concept-1835	249	13	  	  	SPACE
concept-1835	250	1	google	google	PROPN
concept-1835	250	2	maps	map	NOUN
concept-1835	250	3	.	.	PUNCT
concept-1835	251	1	(	(	PUNCT
concept-1835	251	2	2013	2013	NUM
concept-1835	251	3	,	,	PUNCT
concept-1835	251	4	october	october	PROPN
concept-1835	251	5	20	20	NUM
concept-1835	251	6	)	)	PUNCT
concept-1835	251	7	.	.	PUNCT
concept-1835	252	1	philadelphia	philadelphia	PROPN
concept-1835	252	2	,	,	PUNCT
concept-1835	252	3	pa	pa	PROPN
concept-1835	252	4	historic	historic	PROPN
concept-1835	252	5	traffic	traffic	NOUN
concept-1835	252	6	data	datum	NOUN
concept-1835	252	7	map	map	NOUN
concept-1835	252	8	for	for	ADP
concept-1835	252	9	monday	monday	PROPN
concept-1835	252	10	.	.	PUNCT
concept-1835	253	1	retrieved	retrieve	VERB
concept-1835	253	2	october	october	PROPN
concept-1835	253	3	20	20	NUM
concept-1835	253	4	,	,	PUNCT
concept-1835	253	5	2013	2013	NUM
concept-1835	253	6	,	,	PUNCT
concept-1835	253	7	from	from	ADP
concept-1835	253	8	google	google	PROPN
concept-1835	253	9	maps	map	NOUN
concept-1835	253	10	:	:	PUNCT
concept-1835	254	1	https://maps.google.com/maps	https://maps.google.com/map	NOUN
concept-1835	254	2	hoogendoorn	hoogendoorn	ADJ
concept-1835	254	3	,	,	PUNCT
concept-1835	254	4	s.	s.	PROPN
concept-1835	254	5	p.	p.	PROPN
concept-1835	254	6	,	,	PUNCT
concept-1835	254	7	&	&	CCONJ
concept-1835	254	8	bovy	bovy	PROPN
concept-1835	254	9	,	,	PUNCT
concept-1835	254	10	p.	p.	NOUN
concept-1835	254	11	h.	h.	PROPN
concept-1835	255	1	(	(	PUNCT
concept-1835	255	2	2001	2001	NUM
concept-1835	255	3	)	)	PUNCT
concept-1835	255	4	.	.	PUNCT
concept-1835	256	1	state	state	NOUN
concept-1835	256	2	-	-	PUNCT
concept-1835	256	3	of	of	ADP
concept-1835	256	4	-	-	PUNCT
concept-1835	256	5	the	the	DET
concept-1835	256	6	-	-	PUNCT
concept-1835	256	7	art	art	NOUN
concept-1835	256	8	of	of	ADP
concept-1835	256	9	vehicular	vehicular	ADJ
concept-1835	256	10	traffic	traffic	NOUN
concept-1835	256	11	flow	flow	NOUN
concept-1835	256	12	modelling	modelling	NOUN
concept-1835	256	13	.	.	PUNCT
concept-1835	257	1	proceedings	proceeding	NOUN
concept-1835	257	2	of	of	ADP
concept-1835	257	3	the	the	DET
concept-1835	257	4	institution	institution	NOUN
concept-1835	257	5	of	of	ADP
concept-1835	257	6	mechanical	mechanical	ADJ
concept-1835	257	7	engineers	engineer	NOUN
concept-1835	257	8	,	,	PUNCT
concept-1835	257	9	part	part	NOUN
concept-1835	257	10	i	i	PRON
concept-1835	257	11	,	,	PUNCT
concept-1835	257	12	215	215	NUM
concept-1835	257	13	(	(	PUNCT
concept-1835	257	14	4	4	NUM
concept-1835	257	15	)	)	PUNCT
concept-1835	257	16	,	,	PUNCT
concept-1835	257	17	283	283	NUM
concept-1835	257	18	-	-	SYM
concept-1835	257	19	303	303	NUM
concept-1835	257	20	.	.	PUNCT
concept-1835	257	21	indrei	indrei	NOUN
concept-1835	257	22	,	,	PUNCT
concept-1835	257	23	e.	e.	PROPN
concept-1835	257	24	(	(	PUNCT
concept-1835	257	25	2006	2006	NUM
concept-1835	257	26	)	)	PUNCT
concept-1835	257	27	.	.	PUNCT
concept-1835	258	1	markov	markov	NOUN
concept-1835	258	2	chains	chain	NOUN
concept-1835	258	3	and	and	CCONJ
concept-1835	258	4	traffic	traffic	NOUN
concept-1835	258	5	analysis	analysis	NOUN
concept-1835	258	6	.	.	PUNCT
concept-1835	259	1	department	department	NOUN
concept-1835	259	2	of	of	ADP
concept-1835	259	3	mathematics	mathematics	PROPN
concept-1835	259	4	,	,	PUNCT
concept-1835	259	5	georgia	georgia	PROPN
concept-1835	259	6	institute	institute	PROPN
concept-1835	259	7	of	of	ADP
concept-1835	259	8	technology	technology	PROPN
concept-1835	259	9	.	.	PUNCT
concept-1835	260	1	ito	ito	PROPN
concept-1835	260	2	map	map	PROPN
concept-1835	260	3	.	.	PUNCT
concept-1835	261	1	(	(	PUNCT
concept-1835	261	2	2013	2013	NUM
concept-1835	261	3	,	,	PUNCT
concept-1835	261	4	october	october	PROPN
concept-1835	261	5	1	1	NUM
concept-1835	261	6	)	)	PUNCT
concept-1835	261	7	.	.	PUNCT
concept-1835	262	1	highway	highway	NOUN
concept-1835	262	2	lanes	lane	NOUN
concept-1835	262	3	.	.	PUNCT
concept-1835	263	1	retrieved	retrieve	VERB
concept-1835	263	2	october	october	PROPN
concept-1835	263	3	1	1	NUM
concept-1835	263	4	,	,	PUNCT
concept-1835	263	5	2013	2013	NUM
concept-1835	263	6	,	,	PUNCT
concept-1835	263	7	from	from	ADP
concept-1835	263	8	ito	ito	PROPN
concept-1835	263	9	map	map	PROPN
concept-1835	263	10	:	:	PUNCT
concept-1835	263	11	http://www.itoworld.com/map/179	http://www.itoworld.com/map/179	NOUN
concept-1835	263	12	lighthill	lighthill	ADJ
concept-1835	263	13	,	,	PUNCT
concept-1835	263	14	m.	m.	NOUN
concept-1835	263	15	j.	j.	PROPN
concept-1835	263	16	,	,	PUNCT
concept-1835	263	17	&	&	CCONJ
concept-1835	263	18	whitham	whitham	PROPN
concept-1835	263	19	,	,	PUNCT
concept-1835	263	20	g.	g.	PROPN
concept-1835	263	21	b.	b.	PROPN
concept-1835	263	22	(	(	PUNCT
concept-1835	263	23	1955	1955	NUM
concept-1835	263	24	)	)	PUNCT
concept-1835	263	25	.	.	PUNCT
concept-1835	264	1	on	on	ADP
concept-1835	264	2	kinematic	kinematic	ADJ
concept-1835	264	3	waves	wave	NOUN
concept-1835	264	4	.	.	PUNCT
concept-1835	265	1	ii	ii	X
concept-1835	265	2	.	.	PUNCT
concept-1835	266	1	a	a	DET
concept-1835	266	2	theory	theory	NOUN
concept-1835	266	3	of	of	ADP
concept-1835	266	4	traffic	traffic	NOUN
concept-1835	266	5	flow	flow	NOUN
concept-1835	266	6	on	on	ADP
concept-1835	266	7	long	long	ADJ
concept-1835	266	8	crowded	crowded	ADJ
concept-1835	266	9	roads	road	NOUN
concept-1835	266	10	.	.	PUNCT
concept-1835	267	1	proceedings	proceeding	NOUN
concept-1835	267	2	of	of	ADP
concept-1835	267	3	the	the	DET
concept-1835	267	4	royal	royal	ADJ
concept-1835	267	5	society	society	NOUN
concept-1835	267	6	of	of	ADP
concept-1835	267	7	london	london	PROPN
concept-1835	267	8	,	,	PUNCT
concept-1835	267	9	series	series	PROPN
concept-1835	267	10	a.	a.	PROPN
concept-1835	267	11	mathematical	mathematical	PROPN
concept-1835	267	12	and	and	CCONJ
concept-1835	267	13	physical	physical	ADJ
concept-1835	267	14	sciences	science	NOUN
concept-1835	267	15	,	,	PUNCT
concept-1835	267	16	229	229	NUM
concept-1835	267	17	(	(	PUNCT
concept-1835	267	18	1178	1178	NUM
concept-1835	267	19	)	)	PUNCT
concept-1835	267	20	,	,	PUNCT
concept-1835	267	21	317345	317345	NUM
concept-1835	267	22	.	.	PUNCT
concept-1835	268	1	lim	lim	PROPN
concept-1835	268	2	,	,	PUNCT
concept-1835	268	3	s.	s.	PROPN
concept-1835	268	4	,	,	PUNCT
concept-1835	268	5	balakrishnan	balakrishnan	PROPN
concept-1835	268	6	,	,	PUNCT
concept-1835	268	7	h.	h.	PROPN
concept-1835	268	8	,	,	PUNCT
concept-1835	268	9	gifford	gifford	PROPN
concept-1835	268	10	,	,	PUNCT
concept-1835	268	11	d.	d.	PROPN
concept-1835	268	12	,	,	PUNCT
concept-1835	268	13	madden	madden	PROPN
concept-1835	268	14	,	,	PUNCT
concept-1835	268	15	s.	s.	PROPN
concept-1835	268	16	,	,	PUNCT
concept-1835	268	17	&	&	CCONJ
concept-1835	268	18	rus	rus	PROPN
concept-1835	268	19	,	,	PUNCT
concept-1835	268	20	d.	d.	PROPN
concept-1835	268	21	(	(	PUNCT
concept-1835	268	22	2011	2011	NUM
concept-1835	268	23	)	)	PUNCT
concept-1835	268	24	.	.	PUNCT
concept-1835	269	1	stochastic	stochastic	ADJ
concept-1835	269	2	motion	motion	NOUN
concept-1835	269	3	planning	planning	NOUN
concept-1835	269	4	and	and	CCONJ
concept-1835	269	5	applications	application	NOUN
concept-1835	269	6	to	to	ADP
concept-1835	269	7	traffic	traffic	NOUN
concept-1835	269	8	.	.	PUNCT
concept-1835	270	1	international	international	ADJ
concept-1835	270	2	journal	journal	PROPN
concept-1835	270	3	of	of	ADP
concept-1835	270	4	robotic	robotic	ADJ
concept-1835	270	5	research	research	NOUN
concept-1835	270	6	.	.	PUNCT
concept-1835	271	1	nagal	nagal	ADJ
concept-1835	271	2	,	,	PUNCT
concept-1835	271	3	k.	k.	PROPN
concept-1835	271	4	,	,	PUNCT
concept-1835	271	5	&	&	CCONJ
concept-1835	271	6	schreckenberg	schreckenberg	PROPN
concept-1835	271	7	,	,	PUNCT
concept-1835	271	8	m.	m.	NOUN
concept-1835	271	9	(	(	PUNCT
concept-1835	271	10	1992	1992	NUM
concept-1835	271	11	)	)	PUNCT
concept-1835	271	12	.	.	PUNCT
concept-1835	272	1	a	a	DET
concept-1835	272	2	cellular	cellular	ADJ
concept-1835	272	3	automation	automation	NOUN
concept-1835	272	4	model	model	NOUN
concept-1835	272	5	for	for	ADP
concept-1835	272	6	freeway	freeway	NOUN
concept-1835	272	7	traffic	traffic	NOUN
concept-1835	272	8	.	.	PUNCT
concept-1835	273	1	journal	journal	PROPN
concept-1835	273	2	de	de	X
concept-1835	273	3	physique	physique	NOUN
concept-1835	273	4	,	,	PUNCT
concept-1835	273	5	2	2	NUM
concept-1835	273	6	(	(	PUNCT
concept-1835	273	7	12	12	NUM
concept-1835	273	8	)	)	PUNCT
concept-1835	273	9	,	,	PUNCT
concept-1835	273	10	2221	2221	NUM
concept-1835	273	11	-	-	SYM
concept-1835	273	12	2229	2229	NUM
concept-1835	273	13	.	.	PUNCT
concept-1835	274	1	penndot	penndot	NOUN
concept-1835	274	2	.	.	PUNCT
concept-1835	275	1	(	(	PUNCT
concept-1835	275	2	2011	2011	NUM
concept-1835	275	3	)	)	PUNCT
concept-1835	275	4	.	.	PUNCT
concept-1835	276	1	factoring	factoring	NOUN
concept-1835	276	2	process	process	NOUN
concept-1835	276	3	,	,	PUNCT
concept-1835	276	4	hourly	hourly	ADJ
concept-1835	276	5	percent	percent	NOUN
concept-1835	276	6	total	total	NOUN
concept-1835	276	7	vehicles	vehicle	NOUN
concept-1835	276	8	.	.	PUNCT
concept-1835	277	1	bureau	bureau	NOUN
concept-1835	277	2	of	of	ADP
concept-1835	277	3	planning	planning	NOUN
concept-1835	277	4	and	and	CCONJ
concept-1835	277	5	research	research	NOUN
concept-1835	277	6	.	.	PUNCT
concept-1835	278	1	penndot	penndot	NOUN
concept-1835	278	2	.	.	PUNCT
concept-1835	279	1	perrakis	perrakis	PROPN
concept-1835	279	2	,	,	PUNCT
concept-1835	279	3	k.	k.	PROPN
concept-1835	279	4	,	,	PUNCT
concept-1835	279	5	karlis	karlis	PROPN
concept-1835	279	6	,	,	PUNCT
concept-1835	279	7	d.	d.	PROPN
concept-1835	279	8	,	,	PUNCT
concept-1835	279	9	cools	cool	NOUN
concept-1835	279	10	,	,	PUNCT
concept-1835	279	11	m.	m.	NOUN
concept-1835	279	12	,	,	PUNCT
concept-1835	279	13	janssens	janssens	PROPN
concept-1835	279	14	,	,	PUNCT
concept-1835	279	15	d.	d.	PROPN
concept-1835	279	16	,	,	PUNCT
concept-1835	279	17	&	&	CCONJ
concept-1835	279	18	wets	wet	VERB
concept-1835	279	19	,	,	PUNCT
concept-1835	279	20	g.	g.	PROPN
concept-1835	279	21	(	(	PUNCT
concept-1835	279	22	2012	2012	NUM
concept-1835	279	23	)	)	PUNCT
concept-1835	279	24	.	.	PUNCT
concept-1835	280	1	a	a	DET
concept-1835	280	2	bayesian	bayesian	NOUN
concept-1835	280	3	approach	approach	NOUN
concept-1835	280	4	for	for	ADP
concept-1835	280	5	modeling	model	VERB
concept-1835	280	6	origin	origin	NOUN
concept-1835	280	7	-	-	PUNCT
concept-1835	280	8	destination	destination	NOUN
concept-1835	280	9	matrices	matrix	NOUN
concept-1835	280	10	.	.	PUNCT
concept-1835	281	1	transportation	transportation	NOUN
concept-1835	281	2	research	research	NOUN
concept-1835	281	3	part	part	NOUN
concept-1835	281	4	a	a	DET
concept-1835	281	5	:	:	PUNCT
concept-1835	281	6	policy	policy	NOUN
concept-1835	281	7	and	and	CCONJ
concept-1835	281	8	practice	practice	NOUN
concept-1835	281	9	,	,	PUNCT
concept-1835	281	10	46	46	NUM
concept-1835	281	11	(	(	PUNCT
concept-1835	281	12	1	1	NUM
concept-1835	281	13	)	)	PUNCT
concept-1835	281	14	,	,	PUNCT
concept-1835	281	15	200	200	NUM
concept-1835	281	16	-	-	SYM
concept-1835	281	17	212	212	NUM
concept-1835	281	18	.	.	PUNCT
concept-1835	282	1	prigogine	prigogine	NOUN
concept-1835	282	2	,	,	PUNCT
concept-1835	282	3	i.	i.	PROPN
concept-1835	282	4	,	,	PUNCT
concept-1835	282	5	&	&	CCONJ
concept-1835	282	6	andrews	andrews	PROPN
concept-1835	282	7	,	,	PUNCT
concept-1835	282	8	f.	f.	PROPN
concept-1835	282	9	c.	c.	PROPN
concept-1835	282	10	(	(	PUNCT
concept-1835	282	11	1960	1960	NUM
concept-1835	282	12	)	)	PUNCT
concept-1835	282	13	.	.	PUNCT
concept-1835	283	1	a	a	DET
concept-1835	283	2	boltzmann	boltzmann	NOUN
concept-1835	283	3	-	-	PUNCT
concept-1835	283	4	like	like	ADJ
concept-1835	283	5	approach	approach	NOUN
concept-1835	283	6	for	for	ADP
concept-1835	283	7	traffic	traffic	NOUN
concept-1835	283	8	flow	flow	NOUN
concept-1835	283	9	.	.	PUNCT
concept-1835	284	1	operations	operation	NOUN
concept-1835	284	2	research	research	NOUN
concept-1835	284	3	,	,	PUNCT
concept-1835	284	4	8	8	NUM
concept-1835	284	5	(	(	PUNCT
concept-1835	284	6	6	6	NUM
concept-1835	284	7	)	)	PUNCT
concept-1835	284	8	,	,	PUNCT
concept-1835	284	9	789	789	NUM
concept-1835	284	10	-	-	SYM
concept-1835	284	11	797	797	NUM
concept-1835	284	12	.	.	PUNCT
concept-1835	285	1	rephann	rephann	NOUN
concept-1835	285	2	,	,	PUNCT
concept-1835	285	3	t.	t.	PROPN
concept-1835	285	4	,	,	PUNCT
concept-1835	285	5	&	&	CCONJ
concept-1835	285	6	isserman	isserman	PROPN
concept-1835	285	7	,	,	PUNCT
concept-1835	285	8	a.	a.	NOUN
concept-1835	285	9	(	(	PUNCT
concept-1835	285	10	1994	1994	NUM
concept-1835	285	11	)	)	PUNCT
concept-1835	285	12	.	.	PUNCT
concept-1835	286	1	new	new	ADJ
concept-1835	286	2	highways	highway	NOUN
concept-1835	286	3	as	as	ADP
concept-1835	286	4	economic	economic	ADJ
concept-1835	286	5	development	development	NOUN
concept-1835	286	6	tools	tool	NOUN
concept-1835	286	7	:	:	PUNCT
concept-1835	286	8	an	an	DET
concept-1835	286	9	evaluation	evaluation	NOUN
concept-1835	286	10	using	use	VERB
concept-1835	286	11	quasi	quasi	ADJ
concept-1835	286	12	-	-	ADJ
concept-1835	286	13	experimental	experimental	ADJ
concept-1835	286	14	matching	matching	NOUN
concept-1835	286	15	methods	method	NOUN
concept-1835	286	16	.	.	PUNCT
concept-1835	287	1	regional	regional	ADJ
concept-1835	287	2	science	science	NOUN
concept-1835	287	3	and	and	CCONJ
concept-1835	287	4	urban	urban	ADJ
concept-1835	287	5	economics	economic	NOUN
concept-1835	287	6	,	,	PUNCT
concept-1835	287	7	24	24	NUM
concept-1835	287	8	(	(	PUNCT
concept-1835	287	9	6	6	NUM
concept-1835	287	10	)	)	PUNCT
concept-1835	287	11	,	,	PUNCT
concept-1835	287	12	723	723	NUM
concept-1835	287	13	-	-	SYM
concept-1835	287	14	751	751	NUM
concept-1835	287	15	.	.	PUNCT
concept-1835	287	16	  	  	SPACE
concept-1835	287	17	sasaki	sasaki	PROPN
concept-1835	287	18	,	,	PUNCT
concept-1835	287	19	t.	t.	PROPN
concept-1835	287	20	,	,	PUNCT
concept-1835	287	21	&	&	CCONJ
concept-1835	287	22	myojin	myojin	PROPN
concept-1835	287	23	,	,	PUNCT
concept-1835	287	24	s.	s.	PROPN
concept-1835	287	25	(	(	PUNCT
concept-1835	287	26	1968	1968	NUM
concept-1835	287	27	)	)	PUNCT
concept-1835	287	28	.	.	PUNCT
concept-1835	288	1	theory	theory	NOUN
concept-1835	288	2	of	of	ADP
concept-1835	288	3	inflow	inflow	NOUN
concept-1835	288	4	control	control	NOUN
concept-1835	288	5	on	on	ADP
concept-1835	288	6	an	an	DET
concept-1835	288	7	urban	urban	ADJ
concept-1835	288	8	expressway	expressway	NOUN
concept-1835	288	9	system	system	NOUN
concept-1835	288	10	.	.	PUNCT
concept-1835	289	1	proceedings	proceeding	NOUN
concept-1835	289	2	of	of	ADP
concept-1835	289	3	the	the	DET
concept-1835	289	4	japan	japan	PROPN
concept-1835	289	5	society	society	PROPN
concept-1835	289	6	of	of	ADP
concept-1835	289	7	civil	civil	ADJ
concept-1835	289	8	engineers	engineer	NOUN
concept-1835	289	9	,	,	PUNCT
concept-1835	289	10	160	160	NUM
concept-1835	289	11	.	.	PUNCT
concept-1835	290	1	transportation	transportation	NOUN
concept-1835	290	2	reseach	reseach	PROPN
concept-1835	290	3	board	board	NOUN
concept-1835	290	4	.	.	PUNCT
concept-1835	291	1	(	(	PUNCT
concept-1835	291	2	2011	2011	NUM
concept-1835	291	3	,	,	PUNCT
concept-1835	291	4	march	march	PROPN
concept-1835	291	5	-	-	PUNCT
concept-1835	291	6	april	april	PROPN
concept-1835	291	7	)	)	PUNCT
concept-1835	291	8	.	.	PUNCT
concept-1835	292	1	summary	summary	VERB
concept-1835	292	2	minifeature	minifeature	ADJ
concept-1835	292	3	on	on	ADP
concept-1835	292	4	the	the	DET
concept-1835	292	5	hcm2010	hcm2010	NOUN
concept-1835	292	6	.	.	PUNCT
concept-1835	293	1	retrieved	retrieve	VERB
concept-1835	293	2	october	october	PROPN
concept-1835	293	3	2013	2013	NUM
concept-1835	293	4	,	,	PUNCT
concept-1835	293	5	from	from	ADP
concept-1835	293	6	transportation	transportation	NOUN
concept-1835	293	7	research	research	NOUN
concept-1835	293	8	board	board	NOUN
concept-1835	293	9	:	:	PUNCT
concept-1835	293	10	onlinepubs.trb.org/onlinepubs/trnews/trnews273hcm2010.pdf	onlinepubs.trb.org/onlinepubs/trnews/trnews273hcm2010.pdf	PROPN
concept-1835	293	11	us	us	PROPN
concept-1835	293	12	census	census	PROPN
concept-1835	293	13	bureau	bureau	NOUN
concept-1835	293	14	.	.	PUNCT
concept-1835	294	1	(	(	PUNCT
concept-1835	294	2	2013	2013	NUM
concept-1835	294	3	,	,	PUNCT
concept-1835	294	4	october	october	PROPN
concept-1835	294	5	20	20	NUM
concept-1835	294	6	)	)	PUNCT
concept-1835	294	7	.	.	PUNCT
concept-1835	295	1	demographic	demographic	ADJ
concept-1835	295	2	snapshot	snapshot	ADJ
concept-1835	295	3	summary	summary	NOUN
concept-1835	295	4	,	,	PUNCT
concept-1835	295	5	total	total	ADJ
concept-1835	295	6	households	household	NOUN
concept-1835	295	7	.	.	PUNCT
concept-1835	296	1	retrieved	retrieve	VERB
concept-1835	296	2	october	october	PROPN
concept-1835	296	3	20	20	NUM
concept-1835	296	4	,	,	PUNCT
concept-1835	296	5	2013	2013	NUM
concept-1835	296	6	,	,	PUNCT
concept-1835	296	7	from	from	ADP
concept-1835	296	8	free	free	ADJ
concept-1835	296	9	demographics	demographic	NOUN
concept-1835	296	10	:	:	PUNCT
concept-1835	296	11	http://www.freedemographics.com	http://www.freedemographics.com	NUM
concept-1835	296	12	us	us	PROPN
concept-1835	296	13	census	census	PROPN
concept-1835	296	14	bureau	bureau	PROPN
concept-1835	296	15	.	.	PUNCT
concept-1835	297	1	(	(	PUNCT
concept-1835	297	2	2013	2013	NUM
concept-1835	297	3	,	,	PUNCT
concept-1835	297	4	oct	oct	PROPN
concept-1835	297	5	20	20	NUM
concept-1835	297	6	)	)	PUNCT
concept-1835	297	7	.	.	PUNCT
concept-1835	298	1	longitudinal	longitudinal	ADJ
concept-1835	298	2	-	-	PUNCT
concept-1835	298	3	employer	employer	NOUN
concept-1835	298	4	household	household	NOUN
concept-1835	298	5	dynamics	dynamic	NOUN
concept-1835	298	6	program	program	NOUN
concept-1835	298	7	.	.	PUNCT
concept-1835	299	1	retrieved	retrieve	VERB
concept-1835	299	2	oct	oct	PROPN
concept-1835	299	3	20	20	NUM
concept-1835	299	4	,	,	PUNCT
concept-1835	299	5	2013	2013	NUM
concept-1835	299	6	,	,	PUNCT
concept-1835	299	7	from	from	ADP
concept-1835	299	8	onthemap	onthemap	ADJ
concept-1835	299	9	application	application	NOUN
concept-1835	299	10	:	:	PUNCT
concept-1835	299	11	http://onthemap.ces.census.gov/	http://onthemap.ces.census.gov/	PROPN
concept-1835	299	12	van	van	PROPN
concept-1835	299	13	zuylen	zuylen	PROPN
concept-1835	299	14	,	,	PUNCT
concept-1835	299	15	h.	h.	PROPN
concept-1835	299	16	j.	j.	PROPN
concept-1835	299	17	,	,	PUNCT
concept-1835	299	18	&	&	CCONJ
concept-1835	299	19	willumsen	willumsen	PROPN
concept-1835	299	20	,	,	PUNCT
concept-1835	299	21	l.	l.	PROPN
concept-1835	299	22	g.	g.	PROPN
concept-1835	299	23	(	(	PUNCT
concept-1835	299	24	1980	1980	NUM
concept-1835	299	25	)	)	PUNCT
concept-1835	299	26	.	.	PUNCT
concept-1835	300	1	the	the	DET
concept-1835	300	2	most	most	ADV
concept-1835	300	3	likely	likely	ADJ
concept-1835	300	4	trip	trip	NOUN
concept-1835	300	5	matrix	matrix	NOUN
concept-1835	300	6	estimated	estimate	VERB
concept-1835	300	7	from	from	ADP
concept-1835	300	8	traffic	traffic	NOUN
concept-1835	300	9	counts	count	NOUN
concept-1835	300	10	.	.	PUNCT
concept-1835	301	1	transportation	transportation	NOUN
concept-1835	301	2	research	research	NOUN
concept-1835	301	3	part	part	NOUN
concept-1835	301	4	b	b	NOUN
concept-1835	301	5	:	:	PUNCT
concept-1835	301	6	methodological	methodological	ADJ
concept-1835	301	7	,	,	PUNCT
concept-1835	301	8	14	14	NUM
concept-1835	301	9	(	(	PUNCT
concept-1835	301	10	3	3	NUM
concept-1835	301	11	)	)	PUNCT
concept-1835	301	12	,	,	PUNCT
concept-1835	301	13	281	281	NUM
concept-1835	301	14	-	-	SYM
concept-1835	301	15	293	293	NUM
concept-1835	301	16	.	.	PUNCT
concept-1835	302	1	velasco	velasco	PROPN
concept-1835	302	2	,	,	PUNCT
concept-1835	302	3	r.	r.	PROPN
concept-1835	302	4	,	,	PUNCT
concept-1835	302	5	&	&	CCONJ
concept-1835	302	6	saayedra	saayedra	PROPN
concept-1835	302	7	,	,	PUNCT
concept-1835	302	8	p.	p.	NOUN
concept-1835	302	9	(	(	PUNCT
concept-1835	302	10	2008	2008	NUM
concept-1835	302	11	)	)	PUNCT
concept-1835	302	12	.	.	PUNCT
concept-1835	303	1	macroscopic	macroscopic	ADJ
concept-1835	303	2	models	model	NOUN
concept-1835	303	3	in	in	ADP
concept-1835	303	4	traffic	traffic	NOUN
concept-1835	303	5	flow	flow	NOUN
concept-1835	303	6	.	.	PUNCT
concept-1835	304	1	qualitative	qualitative	ADJ
concept-1835	304	2	theory	theory	NOUN
concept-1835	304	3	of	of	ADP
concept-1835	304	4	dyanamical	dyanamical	ADJ
concept-1835	304	5	systerms	systerm	NOUN
concept-1835	304	6	,	,	PUNCT
concept-1835	304	7	7	7	NUM
concept-1835	304	8	(	(	PUNCT
concept-1835	304	9	1	1	NUM
concept-1835	304	10	)	)	PUNCT
concept-1835	304	11	,	,	PUNCT
concept-1835	304	12	237	237	NUM
concept-1835	304	13	-	-	SYM
concept-1835	304	14	252	252	NUM
concept-1835	304	15	.	.	PUNCT
concept-1835	305	1	youngblom	youngblom	PROPN
concept-1835	305	2	,	,	PUNCT
concept-1835	305	3	e.	e.	PROPN
concept-1835	305	4	(	(	PUNCT
concept-1835	305	5	2013	2013	NUM
concept-1835	305	6	)	)	PUNCT
concept-1835	305	7	.	.	PUNCT
concept-1835	306	1	travel	travel	NOUN
concept-1835	306	2	time	time	NOUN
concept-1835	306	3	in	in	ADP
concept-1835	306	4	macroscopic	macroscopic	ADJ
concept-1835	306	5	traffic	traffic	NOUN
concept-1835	306	6	models	model	NOUN
concept-1835	306	7	for	for	ADP
concept-1835	306	8	origindestination	origindestination	NOUN
concept-1835	306	9	estimation	estimation	NOUN
concept-1835	306	10	.	.	PUNCT
concept-1835	307	1	university	university	NOUN
concept-1835	307	2	of	of	ADP
concept-1835	307	3	wisconsin	wisconsin	PROPN
concept-1835	307	4	-	-	PUNCT
concept-1835	307	5	milwaukee	milwaukee	PROPN
concept-1835	307	6	.	.	PUNCT
concept-1835	308	1	zhang	zhang	PROPN
concept-1835	308	2	,	,	PUNCT
concept-1835	308	3	g.	g.	PROPN
concept-1835	308	4	,	,	PUNCT
concept-1835	308	5	wang	wang	PROPN
concept-1835	308	6	,	,	PUNCT
concept-1835	308	7	y.	y.	PROPN
concept-1835	308	8	,	,	PUNCT
concept-1835	308	9	wei	wei	PROPN
concept-1835	308	10	,	,	PUNCT
concept-1835	308	11	h.	h.	PROPN
concept-1835	308	12	,	,	PUNCT
concept-1835	308	13	&	&	CCONJ
concept-1835	308	14	chen	chen	PROPN
concept-1835	308	15	,	,	PUNCT
concept-1835	308	16	y.	y.	PROPN
concept-1835	308	17	(	(	PUNCT
concept-1835	308	18	2007	2007	NUM
concept-1835	308	19	)	)	PUNCT
concept-1835	308	20	.	.	PUNCT
concept-1835	309	1	examining	examine	VERB
concept-1835	309	2	headway	headway	NOUN
concept-1835	309	3	distribution	distribution	NOUN
concept-1835	309	4	models	model	NOUN
concept-1835	309	5	with	with	ADP
concept-1835	309	6	urban	urban	ADJ
concept-1835	309	7	freeway	freeway	NOUN
concept-1835	309	8	loop	loop	NOUN
concept-1835	309	9	event	event	NOUN
concept-1835	309	10	data	data	PROPN
concept-1835	309	11	.	.	PUNCT
concept-1835	310	1	transportation	transportation	NOUN
concept-1835	310	2	research	research	NOUN
concept-1835	310	3	record	record	NOUN
concept-1835	310	4	:	:	PUNCT
concept-1835	310	5	journal	journal	NOUN
concept-1835	310	6	of	of	ADP
concept-1835	310	7	the	the	DET
concept-1835	310	8	transportation	transportation	NOUN
concept-1835	310	9	research	research	NOUN
concept-1835	310	10	board	board	NOUN
concept-1835	310	11	,	,	PUNCT
concept-1835	310	12	1999	1999	NUM
concept-1835	310	13	(	(	PUNCT
concept-1835	310	14	1	1	NUM
concept-1835	310	15	)	)	PUNCT
concept-1835	310	16	,	,	PUNCT
concept-1835	310	17	141	141	NUM
concept-1835	310	18	-	-	SYM
concept-1835	310	19	149	149	NUM
concept-1835	310	20	.	.	PUNCT