id	sid	tid	token	lemma	pos
ijassa-1212	1	1	adv	adv	PROPN
ijassa-1212	1	2	syst	syst	PROPN
ijassa-1212	1	3	sci	sci	PROPN
ijassa-1212	1	4	appl	appl	PROPN
ijassa-1212	1	5	2022	2022	NUM
ijassa-1212	1	6	;	;	PUNCT
ijassa-1212	1	7	02:46–61	02:46–61	NUM
ijassa-1212	1	8	published	publish	VERB
ijassa-1212	1	9	online	online	ADV
ijassa-1212	1	10	at	at	ADP
ijassa-1212	1	11	https://ijassa.ipu.ru	https://ijassa.ipu.ru	ADV
ijassa-1212	1	12	.	.	PUNCT
ijassa-1212	2	1	graph	graph	NOUN
ijassa-1212	2	2	methods	method	NOUN
ijassa-1212	2	3	for	for	ADP
ijassa-1212	2	4	improving	improve	VERB
ijassa-1212	2	5	the	the	DET
ijassa-1212	2	6	invalid	invalid	ADJ
ijassa-1212	2	7	solution	solution	NOUN
ijassa-1212	2	8	of	of	ADP
ijassa-1212	2	9	the	the	DET
ijassa-1212	2	10	locomotive	locomotive	ADJ
ijassa-1212	2	11	assignment	assignment	NOUN
ijassa-1212	2	12	problem	problem	NOUN
ijassa-1212	2	13	under	under	ADP
ijassa-1212	2	14	time	time	NOUN
ijassa-1212	2	15	constraints	constraint	NOUN
ijassa-1212	2	16	liudmila	liudmila	ADJ
ijassa-1212	2	17	zhilyakova1	zhilyakova1	PROPN
ijassa-1212	2	18	*	*	PROPN
ijassa-1212	2	19	,	,	PUNCT
ijassa-1212	2	20	vasily	vasily	PROPN
ijassa-1212	2	21	koreshkov1	koreshkov1	NOUN
ijassa-1212	3	1	1v.a	1v.a	NUM
ijassa-1212	3	2	.	.	PUNCT
ijassa-1212	3	3	trapeznikov	trapeznikov	PROPN
ijassa-1212	3	4	institute	institute	PROPN
ijassa-1212	3	5	of	of	ADP
ijassa-1212	3	6	control	control	PROPN
ijassa-1212	3	7	sciences	sciences	PROPN
ijassa-1212	3	8	,	,	PUNCT
ijassa-1212	3	9	russian	russian	ADJ
ijassa-1212	3	10	academy	academy	PROPN
ijassa-1212	3	11	of	of	ADP
ijassa-1212	3	12	sciences	sciences	PROPN
ijassa-1212	3	13	,	,	PUNCT
ijassa-1212	3	14	moscow	moscow	PROPN
ijassa-1212	3	15	,	,	PUNCT
ijassa-1212	3	16	russia	russia	PROPN
ijassa-1212	3	17	abstract	abstract	NOUN
ijassa-1212	3	18	:	:	PUNCT
ijassa-1212	3	19	finding	find	VERB
ijassa-1212	3	20	the	the	DET
ijassa-1212	3	21	optimal	optimal	ADJ
ijassa-1212	3	22	assignment	assignment	NOUN
ijassa-1212	3	23	of	of	ADP
ijassa-1212	3	24	locomotives	locomotive	NOUN
ijassa-1212	3	25	to	to	PART
ijassa-1212	3	26	fulfill	fulfill	VERB
ijassa-1212	3	27	freight	freight	NOUN
ijassa-1212	3	28	train	train	NOUN
ijassa-1212	3	29	transportation	transportation	NOUN
ijassa-1212	3	30	schedule	schedule	NOUN
ijassa-1212	3	31	under	under	ADP
ijassa-1212	3	32	time	time	NOUN
ijassa-1212	3	33	constraints	constraint	NOUN
ijassa-1212	3	34	is	be	AUX
ijassa-1212	3	35	a	a	DET
ijassa-1212	3	36	complex	complex	ADJ
ijassa-1212	3	37	problem	problem	NOUN
ijassa-1212	3	38	,	,	PUNCT
ijassa-1212	3	39	even	even	ADV
ijassa-1212	3	40	on	on	ADP
ijassa-1212	3	41	a	a	DET
ijassa-1212	3	42	linear	linear	ADJ
ijassa-1212	3	43	section	section	NOUN
ijassa-1212	3	44	of	of	ADP
ijassa-1212	3	45	the	the	DET
ijassa-1212	3	46	railway	railway	NOUN
ijassa-1212	3	47	.	.	PUNCT
ijassa-1212	4	1	in	in	ADP
ijassa-1212	4	2	previous	previous	ADJ
ijassa-1212	4	3	studies	study	NOUN
ijassa-1212	4	4	,	,	PUNCT
ijassa-1212	4	5	a	a	DET
ijassa-1212	4	6	graph	graph	NOUN
ijassa-1212	4	7	model	model	NOUN
ijassa-1212	4	8	was	be	AUX
ijassa-1212	4	9	proposed	propose	VERB
ijassa-1212	4	10	that	that	SCONJ
ijassa-1212	4	11	allows	allow	VERB
ijassa-1212	4	12	solving	solve	VERB
ijassa-1212	4	13	the	the	DET
ijassa-1212	4	14	assignment	assignment	NOUN
ijassa-1212	4	15	problem	problem	NOUN
ijassa-1212	4	16	using	use	VERB
ijassa-1212	4	17	a	a	DET
ijassa-1212	4	18	static	static	ADJ
ijassa-1212	4	19	graph	graph	NOUN
ijassa-1212	4	20	algorithm	algorithm	NOUN
ijassa-1212	4	21	.	.	PUNCT
ijassa-1212	5	1	it	it	PRON
ijassa-1212	5	2	was	be	AUX
ijassa-1212	5	3	proved	prove	VERB
ijassa-1212	5	4	that	that	SCONJ
ijassa-1212	5	5	finding	find	VERB
ijassa-1212	5	6	the	the	DET
ijassa-1212	5	7	optimal	optimal	ADJ
ijassa-1212	5	8	assignment	assignment	NOUN
ijassa-1212	5	9	without	without	ADP
ijassa-1212	5	10	constraints	constraint	NOUN
ijassa-1212	5	11	is	be	AUX
ijassa-1212	5	12	equivalent	equivalent	ADJ
ijassa-1212	5	13	to	to	ADP
ijassa-1212	5	14	finding	find	VERB
ijassa-1212	5	15	the	the	DET
ijassa-1212	5	16	minimal	minimal	ADJ
ijassa-1212	5	17	path	path	NOUN
ijassa-1212	5	18	cover	cover	NOUN
ijassa-1212	5	19	of	of	ADP
ijassa-1212	5	20	a	a	DET
ijassa-1212	5	21	specific	specific	ADJ
ijassa-1212	5	22	acyclic	acyclic	ADJ
ijassa-1212	5	23	graph	graph	NOUN
ijassa-1212	5	24	.	.	PUNCT
ijassa-1212	6	1	however	however	ADV
ijassa-1212	6	2	,	,	PUNCT
ijassa-1212	6	3	due	due	ADP
ijassa-1212	6	4	to	to	ADP
ijassa-1212	6	5	time	time	NOUN
ijassa-1212	6	6	constraints	constraint	NOUN
ijassa-1212	6	7	,	,	PUNCT
ijassa-1212	6	8	the	the	DET
ijassa-1212	6	9	optimal	optimal	ADJ
ijassa-1212	6	10	solution	solution	NOUN
ijassa-1212	6	11	may	may	AUX
ijassa-1212	6	12	not	not	PART
ijassa-1212	6	13	be	be	AUX
ijassa-1212	6	14	valid	valid	ADJ
ijassa-1212	6	15	.	.	PUNCT
ijassa-1212	7	1	this	this	DET
ijassa-1212	7	2	paper	paper	NOUN
ijassa-1212	7	3	presents	present	VERB
ijassa-1212	7	4	methods	method	NOUN
ijassa-1212	7	5	for	for	ADP
ijassa-1212	7	6	modifying	modify	VERB
ijassa-1212	7	7	the	the	DET
ijassa-1212	7	8	found	find	VERB
ijassa-1212	7	9	solution	solution	NOUN
ijassa-1212	7	10	in	in	ADP
ijassa-1212	7	11	order	order	NOUN
ijassa-1212	7	12	for	for	SCONJ
ijassa-1212	7	13	it	it	PRON
ijassa-1212	7	14	to	to	PART
ijassa-1212	7	15	satisfy	satisfy	VERB
ijassa-1212	7	16	the	the	DET
ijassa-1212	7	17	time	time	NOUN
ijassa-1212	7	18	constraints	constraint	NOUN
ijassa-1212	7	19	on	on	ADP
ijassa-1212	7	20	locomotives	locomotive	NOUN
ijassa-1212	7	21	.	.	PUNCT
ijassa-1212	8	1	two	two	NUM
ijassa-1212	8	2	operations	operation	NOUN
ijassa-1212	8	3	on	on	ADP
ijassa-1212	8	4	path	path	NOUN
ijassa-1212	8	5	in	in	ADP
ijassa-1212	8	6	the	the	DET
ijassa-1212	8	7	minimal	minimal	ADJ
ijassa-1212	8	8	path	path	NOUN
ijassa-1212	8	9	cover	cover	NOUN
ijassa-1212	8	10	of	of	ADP
ijassa-1212	8	11	a	a	DET
ijassa-1212	8	12	graph	graph	NOUN
ijassa-1212	8	13	are	be	AUX
ijassa-1212	8	14	introduced	introduce	VERB
ijassa-1212	8	15	:	:	PUNCT
ijassa-1212	8	16	crossover	crossover	NOUN
ijassa-1212	8	17	and	and	CCONJ
ijassa-1212	8	18	changeover	changeover	NOUN
ijassa-1212	8	19	.	.	PUNCT
ijassa-1212	9	1	they	they	PRON
ijassa-1212	9	2	allow	allow	VERB
ijassa-1212	9	3	to	to	PART
ijassa-1212	9	4	rebuild	rebuild	VERB
ijassa-1212	9	5	the	the	DET
ijassa-1212	9	6	found	find	VERB
ijassa-1212	9	7	solution	solution	NOUN
ijassa-1212	9	8	without	without	ADP
ijassa-1212	9	9	spoiling	spoil	VERB
ijassa-1212	9	10	the	the	DET
ijassa-1212	9	11	admissible	admissible	ADJ
ijassa-1212	9	12	sequences	sequence	NOUN
ijassa-1212	9	13	of	of	ADP
ijassa-1212	9	14	transportation	transportation	NOUN
ijassa-1212	9	15	,	,	PUNCT
ijassa-1212	9	16	while	while	SCONJ
ijassa-1212	9	17	the	the	DET
ijassa-1212	9	18	invalid	invalid	ADJ
ijassa-1212	9	19	ones	one	NOUN
ijassa-1212	9	20	are	be	AUX
ijassa-1212	9	21	corrected	correct	VERB
ijassa-1212	9	22	.	.	PUNCT
ijassa-1212	10	1	keywords	keyword	NOUN
ijassa-1212	10	2	:	:	PUNCT
ijassa-1212	10	3	graph	graph	NOUN
ijassa-1212	10	4	models	model	NOUN
ijassa-1212	10	5	,	,	PUNCT
ijassa-1212	10	6	layered	layered	ADJ
ijassa-1212	10	7	digraphs	digraph	NOUN
ijassa-1212	10	8	,	,	PUNCT
ijassa-1212	10	9	minimal	minimal	ADJ
ijassa-1212	10	10	path	path	NOUN
ijassa-1212	10	11	cover	cover	NOUN
ijassa-1212	10	12	with	with	ADP
ijassa-1212	10	13	constraints	constraint	NOUN
ijassa-1212	10	14	,	,	PUNCT
ijassa-1212	10	15	optimal	optimal	ADJ
ijassa-1212	10	16	assignment	assignment	NOUN
ijassa-1212	10	17	problem	problem	NOUN
ijassa-1212	10	18	1	1	NUM
ijassa-1212	10	19	.	.	PUNCT
ijassa-1212	10	20	introduction	introduction	NOUN
ijassa-1212	10	21	a	a	DET
ijassa-1212	10	22	wide	wide	ADJ
ijassa-1212	10	23	range	range	NOUN
ijassa-1212	10	24	of	of	ADP
ijassa-1212	10	25	methods	method	NOUN
ijassa-1212	10	26	and	and	CCONJ
ijassa-1212	10	27	algorithms	algorithm	NOUN
ijassa-1212	10	28	are	be	AUX
ijassa-1212	10	29	used	use	VERB
ijassa-1212	10	30	to	to	PART
ijassa-1212	10	31	solve	solve	VERB
ijassa-1212	10	32	problems	problem	NOUN
ijassa-1212	10	33	of	of	ADP
ijassa-1212	10	34	assigning	assign	VERB
ijassa-1212	10	35	locomotive	locomotive	ADJ
ijassa-1212	10	36	and	and	CCONJ
ijassa-1212	10	37	scheduling	scheduling	NOUN
ijassa-1212	10	38	freight	freight	NOUN
ijassa-1212	10	39	rail	rail	NOUN
ijassa-1212	10	40	transportation	transportation	NOUN
ijassa-1212	10	41	.	.	PUNCT
ijassa-1212	11	1	the	the	DET
ijassa-1212	11	2	papers	paper	NOUN
ijassa-1212	11	3	[	[	X
ijassa-1212	11	4	1–6	1–6	X
ijassa-1212	11	5	]	]	X
ijassa-1212	11	6	present	present	ADJ
ijassa-1212	11	7	different	different	ADJ
ijassa-1212	11	8	methods	method	NOUN
ijassa-1212	11	9	of	of	ADP
ijassa-1212	11	10	solving	solve	VERB
ijassa-1212	11	11	the	the	DET
ijassa-1212	11	12	optimization	optimization	NOUN
ijassa-1212	11	13	problem	problem	NOUN
ijassa-1212	11	14	for	for	ADP
ijassa-1212	11	15	rail	rail	NOUN
ijassa-1212	11	16	transportation	transportation	NOUN
ijassa-1212	11	17	.	.	PUNCT
ijassa-1212	12	1	the	the	DET
ijassa-1212	12	2	paper	paper	NOUN
ijassa-1212	12	3	[	[	X
ijassa-1212	12	4	1	1	X
ijassa-1212	12	5	]	]	PUNCT
ijassa-1212	12	6	discusses	discuss	VERB
ijassa-1212	12	7	graph	graph	NOUN
ijassa-1212	12	8	methods	method	NOUN
ijassa-1212	12	9	and	and	CCONJ
ijassa-1212	12	10	algorithms	algorithm	NOUN
ijassa-1212	12	11	;	;	PUNCT
ijassa-1212	12	12	in	in	ADP
ijassa-1212	12	13	[	[	X
ijassa-1212	12	14	2	2	X
ijassa-1212	12	15	]	]	PUNCT
ijassa-1212	12	16	a	a	DET
ijassa-1212	12	17	multi	multi	ADJ
ijassa-1212	12	18	-	-	ADJ
ijassa-1212	12	19	commodity	commodity	ADJ
ijassa-1212	12	20	network	network	NOUN
ijassa-1212	12	21	and	and	CCONJ
ijassa-1212	12	22	column	column	NOUN
ijassa-1212	12	23	generation	generation	NOUN
ijassa-1212	12	24	model	model	NOUN
ijassa-1212	12	25	are	be	AUX
ijassa-1212	12	26	considered	consider	VERB
ijassa-1212	12	27	;	;	PUNCT
ijassa-1212	12	28	[	[	X
ijassa-1212	12	29	3	3	NUM
ijassa-1212	12	30	,	,	PUNCT
ijassa-1212	12	31	4	4	NUM
ijassa-1212	12	32	]	]	PUNCT
ijassa-1212	12	33	use	use	VERB
ijassa-1212	12	34	dynamic	dynamic	ADJ
ijassa-1212	12	35	programming	programming	NOUN
ijassa-1212	12	36	methods	method	NOUN
ijassa-1212	12	37	;	;	PUNCT
ijassa-1212	12	38	in	in	ADP
ijassa-1212	12	39	[	[	X
ijassa-1212	12	40	5	5	NUM
ijassa-1212	12	41	]	]	PUNCT
ijassa-1212	12	42	a	a	DET
ijassa-1212	12	43	mixed	mixed	ADJ
ijassa-1212	12	44	integer	integer	NOUN
ijassa-1212	12	45	programming	programming	NOUN
ijassa-1212	12	46	formulation	formulation	NOUN
ijassa-1212	12	47	of	of	ADP
ijassa-1212	12	48	the	the	DET
ijassa-1212	12	49	problem	problem	NOUN
ijassa-1212	12	50	is	be	AUX
ijassa-1212	12	51	presented	present	VERB
ijassa-1212	12	52	;	;	PUNCT
ijassa-1212	12	53	in	in	ADP
ijassa-1212	12	54	[	[	X
ijassa-1212	12	55	6	6	NUM
ijassa-1212	12	56	]	]	X
ijassa-1212	12	57	genetic	genetic	ADJ
ijassa-1212	12	58	algorithms	algorithm	NOUN
ijassa-1212	12	59	are	be	AUX
ijassa-1212	12	60	applied	apply	VERB
ijassa-1212	12	61	.	.	PUNCT
ijassa-1212	13	1	the	the	DET
ijassa-1212	13	2	article	article	NOUN
ijassa-1212	13	3	[	[	X
ijassa-1212	13	4	7	7	X
ijassa-1212	13	5	]	]	PUNCT
ijassa-1212	13	6	presents	present	VERB
ijassa-1212	13	7	an	an	DET
ijassa-1212	13	8	overview	overview	NOUN
ijassa-1212	13	9	of	of	ADP
ijassa-1212	13	10	the	the	DET
ijassa-1212	13	11	multimodal	multimodal	ADJ
ijassa-1212	13	12	freight	freight	NOUN
ijassa-1212	13	13	transportation	transportation	NOUN
ijassa-1212	13	14	optimization	optimization	NOUN
ijassa-1212	13	15	models	model	NOUN
ijassa-1212	13	16	.	.	PUNCT
ijassa-1212	14	1	a	a	DET
ijassa-1212	14	2	model	model	NOUN
ijassa-1212	14	3	of	of	ADP
ijassa-1212	14	4	the	the	DET
ijassa-1212	14	5	related	related	ADJ
ijassa-1212	14	6	problem	problem	NOUN
ijassa-1212	14	7	,	,	PUNCT
ijassa-1212	14	8	crew	crew	NOUN
ijassa-1212	14	9	scheduling	scheduling	NOUN
ijassa-1212	14	10	in	in	ADP
ijassa-1212	14	11	railway	railway	NOUN
ijassa-1212	14	12	transportation	transportation	NOUN
ijassa-1212	14	13	for	for	ADP
ijassa-1212	14	14	a	a	DET
ijassa-1212	14	15	real	real	ADJ
ijassa-1212	14	16	world	world	NOUN
ijassa-1212	14	17	case	case	NOUN
ijassa-1212	14	18	,	,	PUNCT
ijassa-1212	14	19	is	be	AUX
ijassa-1212	14	20	introduced	introduce	VERB
ijassa-1212	14	21	in	in	ADP
ijassa-1212	14	22	[	[	X
ijassa-1212	14	23	8	8	NUM
ijassa-1212	14	24	]	]	PUNCT
ijassa-1212	14	25	.	.	PUNCT
ijassa-1212	15	1	this	this	DET
ijassa-1212	15	2	article	article	NOUN
ijassa-1212	15	3	proposes	propose	VERB
ijassa-1212	15	4	a	a	DET
ijassa-1212	15	5	two	two	NUM
ijassa-1212	15	6	-	-	PUNCT
ijassa-1212	15	7	step	step	NOUN
ijassa-1212	15	8	algorithm	algorithm	NOUN
ijassa-1212	15	9	and	and	CCONJ
ijassa-1212	15	10	investigates	investigate	VERB
ijassa-1212	15	11	its	its	PRON
ijassa-1212	15	12	efficiency	efficiency	NOUN
ijassa-1212	15	13	.	.	PUNCT
ijassa-1212	16	1	the	the	DET
ijassa-1212	16	2	present	present	ADJ
ijassa-1212	16	3	research	research	NOUN
ijassa-1212	16	4	is	be	AUX
ijassa-1212	16	5	a	a	DET
ijassa-1212	16	6	continuation	continuation	NOUN
ijassa-1212	16	7	of	of	ADP
ijassa-1212	16	8	the	the	DET
ijassa-1212	16	9	study	study	NOUN
ijassa-1212	16	10	[	[	X
ijassa-1212	16	11	9	9	NUM
ijassa-1212	16	12	]	]	PUNCT
ijassa-1212	16	13	where	where	SCONJ
ijassa-1212	16	14	the	the	DET
ijassa-1212	16	15	problem	problem	NOUN
ijassa-1212	16	16	of	of	ADP
ijassa-1212	16	17	optimal	optimal	ADJ
ijassa-1212	16	18	locomotives	locomotive	NOUN
ijassa-1212	16	19	assignment	assignment	NOUN
ijassa-1212	16	20	to	to	PART
ijassa-1212	16	21	fulfill	fulfill	VERB
ijassa-1212	16	22	the	the	DET
ijassa-1212	16	23	freight	freight	NOUN
ijassa-1212	16	24	traffic	traffic	NOUN
ijassa-1212	16	25	schedule	schedule	NOUN
ijassa-1212	16	26	on	on	ADP
ijassa-1212	16	27	a	a	DET
ijassa-1212	16	28	linear	linear	ADJ
ijassa-1212	16	29	railway	railway	NOUN
ijassa-1212	16	30	section	section	NOUN
ijassa-1212	16	31	is	be	AUX
ijassa-1212	16	32	solved	solve	VERB
ijassa-1212	16	33	using	use	VERB
ijassa-1212	16	34	a	a	DET
ijassa-1212	16	35	static	static	ADJ
ijassa-1212	16	36	graph	graph	NOUN
ijassa-1212	16	37	algorithm	algorithm	NOUN
ijassa-1212	16	38	.	.	PUNCT
ijassa-1212	17	1	this	this	DET
ijassa-1212	17	2	model	model	NOUN
ijassa-1212	17	3	,	,	PUNCT
ijassa-1212	17	4	in	in	ADP
ijassa-1212	17	5	turn	turn	NOUN
ijassa-1212	17	6	,	,	PUNCT
ijassa-1212	17	7	originates	originate	NOUN
ijassa-1212	17	8	in	in	ADP
ijassa-1212	17	9	studies	study	NOUN
ijassa-1212	17	10	[	[	X
ijassa-1212	17	11	10	10	NUM
ijassa-1212	17	12	,	,	PUNCT
ijassa-1212	17	13	11	11	NUM
ijassa-1212	17	14	]	]	PUNCT
ijassa-1212	17	15	.	.	PUNCT
ijassa-1212	18	1	these	these	DET
ijassa-1212	18	2	papers	paper	NOUN
ijassa-1212	18	3	present	present	VERB
ijassa-1212	18	4	the	the	DET
ijassa-1212	18	5	concepts	concept	NOUN
ijassa-1212	18	6	and	and	CCONJ
ijassa-1212	18	7	definitions	definition	NOUN
ijassa-1212	18	8	that	that	PRON
ijassa-1212	18	9	formed	form	VERB
ijassa-1212	18	10	the	the	DET
ijassa-1212	18	11	basis	basis	NOUN
ijassa-1212	18	12	of	of	ADP
ijassa-1212	18	13	the	the	DET
ijassa-1212	18	14	graph	graph	NOUN
ijassa-1212	18	15	model	model	NOUN
ijassa-1212	18	16	constructed	construct	VERB
ijassa-1212	18	17	in	in	ADP
ijassa-1212	18	18	[	[	X
ijassa-1212	18	19	9	9	NUM
ijassa-1212	18	20	]	]	PUNCT
ijassa-1212	18	21	.	.	PUNCT
ijassa-1212	19	1	if	if	SCONJ
ijassa-1212	19	2	there	there	PRON
ijassa-1212	19	3	are	be	VERB
ijassa-1212	19	4	time	time	NOUN
ijassa-1212	19	5	constraints	constraint	NOUN
ijassa-1212	19	6	on	on	ADP
ijassa-1212	19	7	locomotives	locomotive	NOUN
ijassa-1212	19	8	(	(	PUNCT
ijassa-1212	19	9	early	early	ADJ
ijassa-1212	19	10	completion	completion	NOUN
ijassa-1212	19	11	,	,	PUNCT
ijassa-1212	19	12	late	late	ADJ
ijassa-1212	19	13	start	start	NOUN
ijassa-1212	19	14	)	)	PUNCT
ijassa-1212	19	15	,	,	PUNCT
ijassa-1212	19	16	the	the	DET
ijassa-1212	19	17	first	first	ADJ
ijassa-1212	19	18	stage	stage	NOUN
ijassa-1212	19	19	of	of	ADP
ijassa-1212	19	20	the	the	DET
ijassa-1212	19	21	search	search	NOUN
ijassa-1212	19	22	for	for	ADP
ijassa-1212	19	23	a	a	DET
ijassa-1212	19	24	solution	solution	NOUN
ijassa-1212	19	25	coincides	coincide	VERB
ijassa-1212	19	26	with	with	ADP
ijassa-1212	19	27	the	the	DET
ijassa-1212	19	28	solution	solution	NOUN
ijassa-1212	19	29	of	of	ADP
ijassa-1212	19	30	the	the	DET
ijassa-1212	19	31	problem	problem	NOUN
ijassa-1212	19	32	without	without	ADP
ijassa-1212	19	33	constraints	constraint	NOUN
ijassa-1212	19	34	.	.	PUNCT
ijassa-1212	20	1	a	a	DET
ijassa-1212	20	2	special	special	ADJ
ijassa-1212	20	3	acyclic	acyclic	ADJ
ijassa-1212	20	4	graph	graph	NOUN
ijassa-1212	20	5	is	be	AUX
ijassa-1212	20	6	constructed	construct	VERB
ijassa-1212	20	7	and	and	CCONJ
ijassa-1212	20	8	the	the	DET
ijassa-1212	20	9	minimal	minimal	ADJ
ijassa-1212	20	10	path	path	NOUN
ijassa-1212	20	11	cover	cover	NOUN
ijassa-1212	20	12	is	be	AUX
ijassa-1212	20	13	sought	seek	VERB
ijassa-1212	20	14	for	for	ADP
ijassa-1212	20	15	it	it	PRON
ijassa-1212	20	16	.	.	PUNCT
ijassa-1212	21	1	any	any	DET
ijassa-1212	21	2	isolated	isolated	ADJ
ijassa-1212	21	3	vertex	vertex	NOUN
ijassa-1212	21	4	is	be	AUX
ijassa-1212	21	5	also	also	ADV
ijassa-1212	21	6	considered	consider	VERB
ijassa-1212	21	7	a	a	DET
ijassa-1212	21	8	path	path	NOUN
ijassa-1212	21	9	,	,	PUNCT
ijassa-1212	21	10	and	and	CCONJ
ijassa-1212	21	11	therefore	therefore	ADV
ijassa-1212	21	12	such	such	DET
ijassa-1212	21	13	a	a	DET
ijassa-1212	21	14	cover	cover	NOUN
ijassa-1212	21	15	always	always	ADV
ijassa-1212	21	16	exists	exist	VERB
ijassa-1212	21	17	.	.	PUNCT
ijassa-1212	22	1	methods	method	NOUN
ijassa-1212	22	2	for	for	ADP
ijassa-1212	22	3	constructing	construct	VERB
ijassa-1212	22	4	the	the	DET
ijassa-1212	22	5	minimal	minimal	ADJ
ijassa-1212	22	6	path	path	NOUN
ijassa-1212	22	7	cover	cover	NOUN
ijassa-1212	22	8	of	of	ADP
ijassa-1212	22	9	a	a	DET
ijassa-1212	22	10	directed	direct	VERB
ijassa-1212	22	11	acyclic	acyclic	ADJ
ijassa-1212	22	12	graph	graph	NOUN
ijassa-1212	22	13	are	be	AUX
ijassa-1212	22	14	described	describe	VERB
ijassa-1212	22	15	in	in	ADP
ijassa-1212	22	16	[	[	X
ijassa-1212	22	17	12–15	12–15	NUM
ijassa-1212	22	18	]	]	PUNCT
ijassa-1212	22	19	.	.	PUNCT
ijassa-1212	23	1	in	in	ADP
ijassa-1212	23	2	these	these	DET
ijassa-1212	23	3	papers	paper	NOUN
ijassa-1212	23	4	,	,	PUNCT
ijassa-1212	23	5	it	it	PRON
ijassa-1212	23	6	is	be	AUX
ijassa-1212	23	7	shown	show	VERB
ijassa-1212	23	8	that	that	SCONJ
ijassa-1212	23	9	the	the	DET
ijassa-1212	23	10	problem	problem	NOUN
ijassa-1212	23	11	of	of	ADP
ijassa-1212	23	12	finding	find	VERB
ijassa-1212	23	13	such	such	DET
ijassa-1212	23	14	a	a	DET
ijassa-1212	23	15	cover	cover	NOUN
ijassa-1212	23	16	of	of	ADP
ijassa-1212	23	17	an	an	DET
ijassa-1212	23	18	acyclic	acyclic	ADJ
ijassa-1212	23	19	∗corresponding	∗corresponde	VERB
ijassa-1212	23	20	author	author	NOUN
ijassa-1212	23	21	:	:	PUNCT
ijassa-1212	23	22	zhilyakova.ludmila@gmail.com	zhilyakova.ludmila@gmail.com	X
ijassa-1212	23	23	graph	graph	NOUN
ijassa-1212	23	24	methods	method	NOUN
ijassa-1212	23	25	for	for	ADP
ijassa-1212	23	26	improving	improve	VERB
ijassa-1212	23	27	the	the	DET
ijassa-1212	23	28	invalid	invalid	ADJ
ijassa-1212	23	29	solution	solution	NOUN
ijassa-1212	23	30	of	of	ADP
ijassa-1212	23	31	the	the	DET
ijassa-1212	23	32	locomotive	locomotive	NOUN
ijassa-1212	23	33	...	...	PUNCT
ijassa-1212	23	34	47	47	NUM
ijassa-1212	23	35	digraph	digraph	NOUN
ijassa-1212	23	36	is	be	AUX
ijassa-1212	23	37	equivalent	equivalent	ADJ
ijassa-1212	23	38	to	to	ADP
ijassa-1212	23	39	finding	find	VERB
ijassa-1212	23	40	the	the	DET
ijassa-1212	23	41	maximum	maximum	ADJ
ijassa-1212	23	42	matching	matching	NOUN
ijassa-1212	23	43	in	in	ADP
ijassa-1212	23	44	a	a	DET
ijassa-1212	23	45	bipartite	bipartite	NOUN
ijassa-1212	23	46	graph	graph	NOUN
ijassa-1212	23	47	that	that	PRON
ijassa-1212	23	48	is	be	AUX
ijassa-1212	23	49	constructed	construct	VERB
ijassa-1212	23	50	from	from	ADP
ijassa-1212	23	51	the	the	DET
ijassa-1212	23	52	given	give	VERB
ijassa-1212	23	53	acyclic	acyclic	ADJ
ijassa-1212	23	54	graph	graph	NOUN
ijassa-1212	23	55	.	.	PUNCT
ijassa-1212	24	1	an	an	DET
ijassa-1212	24	2	acyclic	acyclic	ADJ
ijassa-1212	24	3	graph	graph	NOUN
ijassa-1212	24	4	is	be	AUX
ijassa-1212	24	5	constructed	construct	VERB
ijassa-1212	24	6	as	as	SCONJ
ijassa-1212	24	7	follows	follow	VERB
ijassa-1212	24	8	.	.	PUNCT
ijassa-1212	25	1	its	its	PRON
ijassa-1212	25	2	vertices	vertex	NOUN
ijassa-1212	25	3	correspond	correspond	VERB
ijassa-1212	25	4	to	to	ADP
ijassa-1212	25	5	transportation	transportation	NOUN
ijassa-1212	25	6	that	that	PRON
ijassa-1212	25	7	must	must	AUX
ijassa-1212	25	8	be	be	AUX
ijassa-1212	25	9	carried	carry	VERB
ijassa-1212	25	10	out	out	ADP
ijassa-1212	25	11	at	at	ADP
ijassa-1212	25	12	some	some	DET
ijassa-1212	25	13	time	time	NOUN
ijassa-1212	25	14	moments	moment	NOUN
ijassa-1212	25	15	;	;	PUNCT
ijassa-1212	25	16	the	the	DET
ijassa-1212	25	17	arcs	arcs	NOUN
ijassa-1212	25	18	connecting	connect	VERB
ijassa-1212	25	19	two	two	NUM
ijassa-1212	25	20	vertices	vertex	NOUN
ijassa-1212	25	21	indicate	indicate	VERB
ijassa-1212	25	22	that	that	SCONJ
ijassa-1212	25	23	two	two	NUM
ijassa-1212	25	24	transportations	transportation	NOUN
ijassa-1212	25	25	can	can	AUX
ijassa-1212	25	26	be	be	AUX
ijassa-1212	25	27	performed	perform	VERB
ijassa-1212	25	28	sequentially	sequentially	ADV
ijassa-1212	25	29	,	,	PUNCT
ijassa-1212	25	30	one	one	NUM
ijassa-1212	25	31	after	after	ADP
ijassa-1212	25	32	the	the	DET
ijassa-1212	25	33	other	other	ADJ
ijassa-1212	25	34	by	by	ADP
ijassa-1212	25	35	the	the	DET
ijassa-1212	25	36	same	same	ADJ
ijassa-1212	25	37	locomotive	locomotive	NOUN
ijassa-1212	25	38	.	.	PUNCT
ijassa-1212	26	1	the	the	DET
ijassa-1212	26	2	minimal	minimal	ADJ
ijassa-1212	26	3	path	path	NOUN
ijassa-1212	26	4	cover	cover	NOUN
ijassa-1212	26	5	of	of	ADP
ijassa-1212	26	6	such	such	DET
ijassa-1212	26	7	an	an	DET
ijassa-1212	26	8	acyclic	acyclic	ADJ
ijassa-1212	26	9	graph	graph	NOUN
ijassa-1212	26	10	is	be	AUX
ijassa-1212	26	11	a	a	DET
ijassa-1212	26	12	solution	solution	NOUN
ijassa-1212	26	13	to	to	ADP
ijassa-1212	26	14	the	the	DET
ijassa-1212	26	15	original	original	ADJ
ijassa-1212	26	16	problem	problem	NOUN
ijassa-1212	26	17	:	:	PUNCT
ijassa-1212	26	18	it	it	PRON
ijassa-1212	26	19	specifies	specify	VERB
ijassa-1212	26	20	locomotive	locomotive	ADJ
ijassa-1212	26	21	assignments	assignment	NOUN
ijassa-1212	26	22	to	to	ADP
ijassa-1212	26	23	trains	train	NOUN
ijassa-1212	26	24	over	over	ADP
ijassa-1212	26	25	the	the	DET
ijassa-1212	26	26	entire	entire	ADJ
ijassa-1212	26	27	planning	planning	NOUN
ijassa-1212	26	28	horizon	horizon	NOUN
ijassa-1212	26	29	.	.	PUNCT
ijassa-1212	27	1	in	in	ADP
ijassa-1212	27	2	a	a	DET
ijassa-1212	27	3	problem	problem	NOUN
ijassa-1212	27	4	with	with	ADP
ijassa-1212	27	5	constraints	constraint	NOUN
ijassa-1212	27	6	,	,	PUNCT
ijassa-1212	27	7	the	the	DET
ijassa-1212	27	8	resulting	result	VERB
ijassa-1212	27	9	solution	solution	NOUN
ijassa-1212	27	10	may	may	AUX
ijassa-1212	27	11	not	not	PART
ijassa-1212	27	12	be	be	AUX
ijassa-1212	27	13	valid	valid	ADJ
ijassa-1212	27	14	:	:	PUNCT
ijassa-1212	27	15	some	some	DET
ijassa-1212	27	16	locomotives	locomotive	NOUN
ijassa-1212	27	17	may	may	AUX
ijassa-1212	27	18	not	not	PART
ijassa-1212	27	19	be	be	AUX
ijassa-1212	27	20	available	available	ADJ
ijassa-1212	27	21	for	for	ADP
ijassa-1212	27	22	some	some	PRON
ijassa-1212	27	23	of	of	ADP
ijassa-1212	27	24	the	the	DET
ijassa-1212	27	25	assigned	assign	VERB
ijassa-1212	27	26	transportations	transportation	NOUN
ijassa-1212	27	27	.	.	PUNCT
ijassa-1212	28	1	therefore	therefore	ADV
ijassa-1212	28	2	,	,	PUNCT
ijassa-1212	28	3	the	the	DET
ijassa-1212	28	4	solution	solution	NOUN
ijassa-1212	28	5	found	find	VERB
ijassa-1212	28	6	in	in	ADP
ijassa-1212	28	7	the	the	DET
ijassa-1212	28	8	previous	previous	ADJ
ijassa-1212	28	9	step	step	NOUN
ijassa-1212	28	10	is	be	AUX
ijassa-1212	28	11	checked	check	VERB
ijassa-1212	28	12	for	for	ADP
ijassa-1212	28	13	validity	validity	NOUN
ijassa-1212	28	14	.	.	PUNCT
ijassa-1212	29	1	in	in	ADP
ijassa-1212	29	2	[	[	X
ijassa-1212	29	3	9	9	NUM
ijassa-1212	29	4	]	]	PUNCT
ijassa-1212	29	5	,	,	PUNCT
ijassa-1212	29	6	methods	method	NOUN
ijassa-1212	29	7	for	for	ADP
ijassa-1212	29	8	correcting	correct	VERB
ijassa-1212	29	9	an	an	DET
ijassa-1212	29	10	invalid	invalid	ADJ
ijassa-1212	29	11	solution	solution	NOUN
ijassa-1212	29	12	are	be	AUX
ijassa-1212	29	13	proposed	propose	VERB
ijassa-1212	29	14	,	,	PUNCT
ijassa-1212	29	15	taking	take	VERB
ijassa-1212	29	16	into	into	ADP
ijassa-1212	29	17	account	account	NOUN
ijassa-1212	29	18	the	the	DET
ijassa-1212	29	19	time	time	NOUN
ijassa-1212	29	20	constraints	constraint	NOUN
ijassa-1212	29	21	.	.	PUNCT
ijassa-1212	30	1	however	however	ADV
ijassa-1212	30	2	,	,	PUNCT
ijassa-1212	30	3	some	some	DET
ijassa-1212	30	4	cases	case	NOUN
ijassa-1212	30	5	where	where	SCONJ
ijassa-1212	30	6	these	these	DET
ijassa-1212	30	7	methods	method	NOUN
ijassa-1212	30	8	do	do	AUX
ijassa-1212	30	9	not	not	PART
ijassa-1212	30	10	allow	allow	VERB
ijassa-1212	30	11	finding	find	VERB
ijassa-1212	30	12	the	the	DET
ijassa-1212	30	13	existing	exist	VERB
ijassa-1212	30	14	optimal	optimal	ADJ
ijassa-1212	30	15	solution	solution	NOUN
ijassa-1212	30	16	remained	remain	VERB
ijassa-1212	30	17	beyond	beyond	ADP
ijassa-1212	30	18	the	the	DET
ijassa-1212	30	19	scope	scope	NOUN
ijassa-1212	30	20	of	of	ADP
ijassa-1212	30	21	consideration	consideration	NOUN
ijassa-1212	30	22	.	.	PUNCT
ijassa-1212	31	1	these	these	DET
ijassa-1212	31	2	cases	case	NOUN
ijassa-1212	31	3	are	be	AUX
ijassa-1212	31	4	rare	rare	ADJ
ijassa-1212	31	5	exceptions	exception	NOUN
ijassa-1212	31	6	,	,	PUNCT
ijassa-1212	31	7	but	but	CCONJ
ijassa-1212	31	8	they	they	PRON
ijassa-1212	31	9	also	also	ADV
ijassa-1212	31	10	need	need	VERB
ijassa-1212	31	11	to	to	PART
ijassa-1212	31	12	be	be	AUX
ijassa-1212	31	13	handled	handle	VERB
ijassa-1212	31	14	.	.	PUNCT
ijassa-1212	32	1	in	in	ADP
ijassa-1212	32	2	this	this	DET
ijassa-1212	32	3	paper	paper	NOUN
ijassa-1212	32	4	,	,	PUNCT
ijassa-1212	32	5	we	we	PRON
ijassa-1212	32	6	propose	propose	VERB
ijassa-1212	32	7	two	two	NUM
ijassa-1212	32	8	operations	operation	NOUN
ijassa-1212	32	9	that	that	PRON
ijassa-1212	32	10	change	change	VERB
ijassa-1212	32	11	the	the	DET
ijassa-1212	32	12	found	find	VERB
ijassa-1212	32	13	minimal	minimal	ADJ
ijassa-1212	32	14	path	path	NOUN
ijassa-1212	32	15	cover	cover	NOUN
ijassa-1212	32	16	of	of	ADP
ijassa-1212	32	17	the	the	DET
ijassa-1212	32	18	acyclic	acyclic	ADJ
ijassa-1212	32	19	graph	graph	NOUN
ijassa-1212	32	20	.	.	PUNCT
ijassa-1212	33	1	the	the	DET
ijassa-1212	33	2	first	first	ADJ
ijassa-1212	33	3	one	one	NOUN
ijassa-1212	33	4	is	be	AUX
ijassa-1212	33	5	called	call	VERB
ijassa-1212	33	6	”	"	PUNCT
ijassa-1212	33	7	crossover	crossover	NOUN
ijassa-1212	33	8	”	"	PUNCT
ijassa-1212	33	9	by	by	ADP
ijassa-1212	33	10	analogy	analogy	NOUN
ijassa-1212	33	11	with	with	ADP
ijassa-1212	33	12	the	the	DET
ijassa-1212	33	13	genetic	genetic	ADJ
ijassa-1212	33	14	recombination	recombination	NOUN
ijassa-1212	33	15	,	,	PUNCT
ijassa-1212	33	16	following	follow	VERB
ijassa-1212	33	17	the	the	DET
ijassa-1212	33	18	terminology	terminology	NOUN
ijassa-1212	33	19	adopted	adopt	VERB
ijassa-1212	33	20	in	in	ADP
ijassa-1212	33	21	genetic	genetic	ADJ
ijassa-1212	33	22	algorithms	algorithm	NOUN
ijassa-1212	33	23	[	[	X
ijassa-1212	33	24	16	16	NUM
ijassa-1212	33	25	,	,	PUNCT
ijassa-1212	33	26	17	17	NUM
ijassa-1212	33	27	]	]	PUNCT
ijassa-1212	33	28	.	.	PUNCT
ijassa-1212	34	1	the	the	DET
ijassa-1212	34	2	second	second	ADJ
ijassa-1212	34	3	is	be	AUX
ijassa-1212	34	4	called	call	VERB
ijassa-1212	34	5	”	"	PUNCT
ijassa-1212	34	6	changeover	changeover	NOUN
ijassa-1212	34	7	”	"	PUNCT
ijassa-1212	34	8	.	.	PUNCT
ijassa-1212	35	1	they	they	PRON
ijassa-1212	35	2	make	make	VERB
ijassa-1212	35	3	it	it	PRON
ijassa-1212	35	4	possible	possible	ADJ
ijassa-1212	35	5	to	to	PART
ijassa-1212	35	6	construct	construct	VERB
ijassa-1212	35	7	new	new	ADJ
ijassa-1212	35	8	minimal	minimal	ADJ
ijassa-1212	35	9	covers	cover	NOUN
ijassa-1212	35	10	corresponding	correspond	VERB
ijassa-1212	35	11	to	to	ADP
ijassa-1212	35	12	valid	valid	ADJ
ijassa-1212	35	13	solutions	solution	NOUN
ijassa-1212	35	14	to	to	ADP
ijassa-1212	35	15	the	the	DET
ijassa-1212	35	16	problem	problem	NOUN
ijassa-1212	35	17	with	with	ADP
ijassa-1212	35	18	time	time	NOUN
ijassa-1212	35	19	constraints	constraint	NOUN
ijassa-1212	35	20	.	.	PUNCT
ijassa-1212	36	1	2	2	X
ijassa-1212	36	2	.	.	X
ijassa-1212	36	3	graph	graph	NOUN
ijassa-1212	36	4	model	model	NOUN
ijassa-1212	36	5	of	of	ADP
ijassa-1212	36	6	the	the	DET
ijassa-1212	36	7	problem	problem	NOUN
ijassa-1212	36	8	2.1	2.1	NUM
ijassa-1212	36	9	.	.	PUNCT
ijassa-1212	37	1	basic	basic	ADJ
ijassa-1212	37	2	definitions	definition	NOUN
ijassa-1212	37	3	let	let	VERB
ijassa-1212	37	4	us	we	PRON
ijassa-1212	37	5	consider	consider	VERB
ijassa-1212	37	6	freight	freight	NOUN
ijassa-1212	37	7	transportation	transportation	NOUN
ijassa-1212	37	8	on	on	ADP
ijassa-1212	37	9	a	a	DET
ijassa-1212	37	10	linear	linear	ADJ
ijassa-1212	37	11	railway	railway	NOUN
ijassa-1212	37	12	section	section	NOUN
ijassa-1212	37	13	with	with	ADP
ijassa-1212	37	14	k	k	PROPN
ijassa-1212	37	15	stations	station	NOUN
ijassa-1212	37	16	.	.	PUNCT
ijassa-1212	38	1	the	the	DET
ijassa-1212	38	2	schedule	schedule	NOUN
ijassa-1212	38	3	for	for	ADP
ijassa-1212	38	4	the	the	DET
ijassa-1212	38	5	transportation	transportation	NOUN
ijassa-1212	38	6	of	of	ADP
ijassa-1212	38	7	freight	freight	NOUN
ijassa-1212	38	8	trains	train	NOUN
ijassa-1212	38	9	is	be	AUX
ijassa-1212	38	10	given	give	VERB
ijassa-1212	38	11	as	as	SCONJ
ijassa-1212	38	12	follows	follow	VERB
ijassa-1212	38	13	.	.	PUNCT
ijassa-1212	39	1	for	for	ADP
ijassa-1212	39	2	each	each	PRON
ijassa-1212	39	3	of	of	ADP
ijassa-1212	39	4	the	the	DET
ijassa-1212	39	5	n	n	DET
ijassa-1212	39	6	trains	train	NOUN
ijassa-1212	39	7	,	,	PUNCT
ijassa-1212	39	8	the	the	DET
ijassa-1212	39	9	station	station	NOUN
ijassa-1212	39	10	and	and	CCONJ
ijassa-1212	39	11	time	time	NOUN
ijassa-1212	39	12	of	of	ADP
ijassa-1212	39	13	departure	departure	NOUN
ijassa-1212	39	14	and	and	CCONJ
ijassa-1212	39	15	the	the	DET
ijassa-1212	39	16	station	station	NOUN
ijassa-1212	39	17	of	of	ADP
ijassa-1212	39	18	arrival	arrival	NOUN
ijassa-1212	39	19	are	be	AUX
ijassa-1212	39	20	specified	specify	VERB
ijassa-1212	39	21	.	.	PUNCT
ijassa-1212	40	1	it	it	PRON
ijassa-1212	40	2	is	be	AUX
ijassa-1212	40	3	believed	believe	VERB
ijassa-1212	40	4	that	that	SCONJ
ijassa-1212	40	5	locomotives	locomotive	NOUN
ijassa-1212	40	6	carry	carry	VERB
ijassa-1212	40	7	trains	train	NOUN
ijassa-1212	40	8	at	at	ADP
ijassa-1212	40	9	a	a	DET
ijassa-1212	40	10	constant	constant	ADJ
ijassa-1212	40	11	speed	speed	NOUN
ijassa-1212	40	12	.	.	PUNCT
ijassa-1212	41	1	for	for	ADP
ijassa-1212	41	2	each	each	PRON
ijassa-1212	41	3	of	of	ADP
ijassa-1212	41	4	the	the	DET
ijassa-1212	41	5	m	m	NOUN
ijassa-1212	41	6	locomotives	locomotive	NOUN
ijassa-1212	41	7	,	,	PUNCT
ijassa-1212	41	8	the	the	DET
ijassa-1212	41	9	start	start	NOUN
ijassa-1212	41	10	station	station	NOUN
ijassa-1212	41	11	and	and	CCONJ
ijassa-1212	41	12	time	time	NOUN
ijassa-1212	41	13	constraints	constraint	NOUN
ijassa-1212	41	14	(	(	PUNCT
ijassa-1212	41	15	late	late	ADJ
ijassa-1212	41	16	start	start	NOUN
ijassa-1212	41	17	,	,	PUNCT
ijassa-1212	41	18	early	early	ADJ
ijassa-1212	41	19	end	end	NOUN
ijassa-1212	41	20	)	)	PUNCT
ijassa-1212	41	21	are	be	AUX
ijassa-1212	41	22	specified	specify	VERB
ijassa-1212	41	23	.	.	PUNCT
ijassa-1212	42	1	the	the	DET
ijassa-1212	42	2	set	set	NOUN
ijassa-1212	42	3	of	of	ADP
ijassa-1212	42	4	stations	station	NOUN
ijassa-1212	42	5	s	s	PART
ijassa-1212	42	6	=	=	PUNCT
ijassa-1212	42	7	{	{	PUNCT
ijassa-1212	42	8	s0	s0	PROPN
ijassa-1212	42	9	,	,	PUNCT
ijassa-1212	42	10	.	.	PUNCT
ijassa-1212	42	11	.	.	PUNCT
ijassa-1212	42	12	.	.	PUNCT
ijassa-1212	43	1	,	,	PUNCT
ijassa-1212	43	2	sk	sk	VERB
ijassa-1212	43	3	}	}	PUNCT
ijassa-1212	43	4	is	be	AUX
ijassa-1212	43	5	linearly	linearly	ADV
ijassa-1212	43	6	ordered	order	VERB
ijassa-1212	43	7	by	by	ADP
ijassa-1212	43	8	their	their	PRON
ijassa-1212	43	9	arrangement	arrangement	NOUN
ijassa-1212	43	10	.	.	PUNCT
ijassa-1212	44	1	time	time	NOUN
ijassa-1212	44	2	moments	moment	NOUN
ijassa-1212	44	3	ti	ti	PROPN
ijassa-1212	44	4	correspond	correspond	VERB
ijassa-1212	44	5	to	to	ADP
ijassa-1212	44	6	the	the	DET
ijassa-1212	44	7	departure	departure	NOUN
ijassa-1212	44	8	and	and	CCONJ
ijassa-1212	44	9	arrival	arrival	NOUN
ijassa-1212	44	10	of	of	ADP
ijassa-1212	44	11	trains	train	NOUN
ijassa-1212	44	12	.	.	PUNCT
ijassa-1212	45	1	the	the	DET
ijassa-1212	45	2	lengths	length	NOUN
ijassa-1212	45	3	of	of	ADP
ijassa-1212	45	4	the	the	DET
ijassa-1212	45	5	intervals	interval	NOUN
ijassa-1212	45	6	between	between	ADP
ijassa-1212	45	7	moments	moment	NOUN
ijassa-1212	45	8	may	may	AUX
ijassa-1212	45	9	vary	vary	VERB
ijassa-1212	45	10	.	.	PUNCT
ijassa-1212	46	1	the	the	DET
ijassa-1212	46	2	set	set	NOUN
ijassa-1212	46	3	of	of	ADP
ijassa-1212	46	4	time	time	NOUN
ijassa-1212	46	5	moments	moment	NOUN
ijassa-1212	46	6	is	be	AUX
ijassa-1212	46	7	denoted	denote	VERB
ijassa-1212	46	8	as	as	ADP
ijassa-1212	46	9	{	{	PUNCT
ijassa-1212	46	10	t0	t0	NOUN
ijassa-1212	46	11	,	,	PUNCT
ijassa-1212	46	12	.	.	PUNCT
ijassa-1212	46	13	.	.	PUNCT
ijassa-1212	47	1	.	.	PUNCT
ijassa-1212	48	1	,	,	PUNCT
ijassa-1212	48	2	tfin	tfin	NOUN
ijassa-1212	48	3	}	}	PUNCT
ijassa-1212	48	4	where	where	SCONJ
ijassa-1212	48	5	tfin	tfin	NOUN
ijassa-1212	48	6	is	be	AUX
ijassa-1212	48	7	a	a	DET
ijassa-1212	48	8	given	give	VERB
ijassa-1212	48	9	planning	planning	NOUN
ijassa-1212	48	10	horizon	horizon	NOUN
ijassa-1212	48	11	.	.	PUNCT
ijassa-1212	49	1	the	the	DET
ijassa-1212	49	2	set	set	NOUN
ijassa-1212	49	3	of	of	ADP
ijassa-1212	49	4	transportations	transportation	NOUN
ijassa-1212	49	5	(	(	PUNCT
ijassa-1212	49	6	train	train	NOUN
ijassa-1212	49	7	trajectories	trajectory	NOUN
ijassa-1212	49	8	)	)	PUNCT
ijassa-1212	49	9	is	be	AUX
ijassa-1212	49	10	denoted	denote	VERB
ijassa-1212	49	11	as	as	ADP
ijassa-1212	49	12	tr	tr	VERB
ijassa-1212	49	13	=	=	NOUN
ijassa-1212	49	14	{	{	PUNCT
ijassa-1212	49	15	tr1	tr1	NOUN
ijassa-1212	49	16	,	,	PUNCT
ijassa-1212	49	17	.	.	PUNCT
ijassa-1212	49	18	.	.	PUNCT
ijassa-1212	50	1	.	.	PUNCT
ijassa-1212	51	1	,	,	PUNCT
ijassa-1212	51	2	t	t	PROPN
ijassa-1212	51	3	rn	rn	PROPN
ijassa-1212	51	4	}	}	PUNCT
ijassa-1212	51	5	.	.	PUNCT
ijassa-1212	52	1	the	the	DET
ijassa-1212	52	2	set	set	NOUN
ijassa-1212	52	3	of	of	ADP
ijassa-1212	52	4	locomotives	locomotive	NOUN
ijassa-1212	52	5	is	be	AUX
ijassa-1212	52	6	denoted	denote	VERB
ijassa-1212	52	7	as	as	ADP
ijassa-1212	52	8	l	l	NOUN
ijassa-1212	52	9	=	=	SYM
ijassa-1212	52	10	{	{	PUNCT
ijassa-1212	52	11	l1	l1	PROPN
ijassa-1212	52	12	,	,	PUNCT
ijassa-1212	52	13	.	.	PUNCT
ijassa-1212	52	14	.	.	PUNCT
ijassa-1212	53	1	.	.	PUNCT
ijassa-1212	54	1	,	,	PUNCT
ijassa-1212	54	2	lm	lm	PROPN
ijassa-1212	54	3	}	}	PUNCT
ijassa-1212	54	4	.	.	PUNCT
ijassa-1212	55	1	we	we	PRON
ijassa-1212	55	2	will	will	AUX
ijassa-1212	55	3	assume	assume	VERB
ijassa-1212	55	4	that	that	SCONJ
ijassa-1212	55	5	the	the	DET
ijassa-1212	55	6	velocities	velocity	NOUN
ijassa-1212	55	7	of	of	ADP
ijassa-1212	55	8	all	all	DET
ijassa-1212	55	9	locomotives	locomotive	NOUN
ijassa-1212	55	10	are	be	AUX
ijassa-1212	55	11	the	the	DET
ijassa-1212	55	12	same	same	ADJ
ijassa-1212	55	13	and	and	CCONJ
ijassa-1212	55	14	equal	equal	ADJ
ijassa-1212	55	15	to	to	ADP
ijassa-1212	55	16	v.	v.	ADP
ijassa-1212	55	17	the	the	DET
ijassa-1212	55	18	trains	train	NOUN
ijassa-1212	55	19	also	also	ADV
ijassa-1212	55	20	move	move	VERB
ijassa-1212	55	21	at	at	ADP
ijassa-1212	55	22	speed	speed	NOUN
ijassa-1212	55	23	v.	v.	ADP
ijassa-1212	55	24	the	the	DET
ijassa-1212	55	25	schedule	schedule	NOUN
ijassa-1212	55	26	can	can	AUX
ijassa-1212	55	27	be	be	AUX
ijassa-1212	55	28	represented	represent	VERB
ijassa-1212	55	29	as	as	ADP
ijassa-1212	55	30	a	a	DET
ijassa-1212	55	31	graph	graph	NOUN
ijassa-1212	55	32	of	of	ADP
ijassa-1212	55	33	the	the	DET
ijassa-1212	55	34	transportations	transportation	NOUN
ijassa-1212	55	35	on	on	ADP
ijassa-1212	55	36	a	a	DET
ijassa-1212	55	37	plane	plane	NOUN
ijassa-1212	55	38	where	where	SCONJ
ijassa-1212	55	39	the	the	DET
ijassa-1212	55	40	abscissa	abscissa	ADJ
ijassa-1212	55	41	axis	axis	NOUN
ijassa-1212	55	42	indicates	indicate	VERB
ijassa-1212	55	43	a	a	DET
ijassa-1212	55	44	section	section	NOUN
ijassa-1212	55	45	of	of	ADP
ijassa-1212	55	46	the	the	DET
ijassa-1212	55	47	railway	railway	NOUN
ijassa-1212	55	48	with	with	ADP
ijassa-1212	55	49	stations	station	NOUN
ijassa-1212	55	50	{	{	PUNCT
ijassa-1212	55	51	s0	s0	PROPN
ijassa-1212	55	52	,	,	PUNCT
ijassa-1212	55	53	.	.	PUNCT
ijassa-1212	55	54	.	.	PUNCT
ijassa-1212	56	1	.	.	PUNCT
ijassa-1212	57	1	,	,	PUNCT
ijassa-1212	57	2	sk	sk	ADP
ijassa-1212	57	3	}	}	PUNCT
ijassa-1212	57	4	,	,	PUNCT
ijassa-1212	57	5	and	and	CCONJ
ijassa-1212	57	6	the	the	DET
ijassa-1212	57	7	ordinate	ordinate	NOUN
ijassa-1212	57	8	axis	axis	NOUN
ijassa-1212	57	9	indicates	indicate	VERB
ijassa-1212	57	10	time	time	NOUN
ijassa-1212	57	11	interval	interval	NOUN
ijassa-1212	58	1	[	[	X
ijassa-1212	58	2	t0	t0	NOUN
ijassa-1212	58	3	,	,	PUNCT
ijassa-1212	58	4	tfin	tfin	NOUN
ijassa-1212	58	5	]	]	PUNCT
ijassa-1212	58	6	.	.	PUNCT
ijassa-1212	59	1	then	then	ADV
ijassa-1212	59	2	train	train	NOUN
ijassa-1212	59	3	trajectories	trajectory	NOUN
ijassa-1212	59	4	are	be	AUX
ijassa-1212	59	5	represented	represent	VERB
ijassa-1212	59	6	as	as	ADP
ijassa-1212	59	7	segments	segment	NOUN
ijassa-1212	59	8	with	with	ADP
ijassa-1212	59	9	angles	angle	NOUN
ijassa-1212	59	10	to	to	ADP
ijassa-1212	59	11	the	the	DET
ijassa-1212	59	12	y	y	NOUN
ijassa-1212	59	13	-	-	PUNCT
ijassa-1212	59	14	axis	axis	NOUN
ijassa-1212	59	15	v	v	NOUN
ijassa-1212	59	16	and	and	CCONJ
ijassa-1212	59	17	−v	−v	NOUN
ijassa-1212	59	18	.	.	PUNCT
ijassa-1212	60	1	their	their	PRON
ijassa-1212	60	2	ends	end	NOUN
ijassa-1212	60	3	have	have	VERB
ijassa-1212	60	4	coordinates	coordinate	NOUN
ijassa-1212	60	5	(	(	PUNCT
ijassa-1212	60	6	tij1	tij1	NOUN
ijassa-1212	60	7	,	,	PUNCT
ijassa-1212	60	8	s	s	VERB
ijassa-1212	60	9	i	i	NOUN
ijassa-1212	60	10	k1	k1	PROPN
ijassa-1212	60	11	)	)	PUNCT
ijassa-1212	60	12	and	and	CCONJ
ijassa-1212	60	13	(	(	PUNCT
ijassa-1212	60	14	til2	til2	PROPN
ijassa-1212	60	15	,	,	PUNCT
ijassa-1212	60	16	s	s	VERB
ijassa-1212	60	17	i	i	NOUN
ijassa-1212	60	18	p2	p2	PROPN
ijassa-1212	60	19	)	)	PUNCT
ijassa-1212	60	20	,	,	PUNCT
ijassa-1212	60	21	where	where	SCONJ
ijassa-1212	60	22	indices	indice	VERB
ijassa-1212	60	23	1	1	NUM
ijassa-1212	60	24	and	and	CCONJ
ijassa-1212	60	25	2	2	NUM
ijassa-1212	60	26	denote	denote	VERB
ijassa-1212	60	27	the	the	DET
ijassa-1212	60	28	start	start	NOUN
ijassa-1212	60	29	and	and	CCONJ
ijassa-1212	60	30	destination	destination	NOUN
ijassa-1212	60	31	points	point	NOUN
ijassa-1212	60	32	,	,	PUNCT
ijassa-1212	60	33	i	i	PRON
ijassa-1212	60	34	is	be	AUX
ijassa-1212	60	35	the	the	DET
ijassa-1212	60	36	index	index	NOUN
ijassa-1212	60	37	of	of	ADP
ijassa-1212	60	38	transportation	transportation	NOUN
ijassa-1212	60	39	thi	thi	NOUN
ijassa-1212	60	40	.	.	PUNCT
ijassa-1212	61	1	the	the	DET
ijassa-1212	61	2	initial	initial	ADJ
ijassa-1212	61	3	positions	position	NOUN
ijassa-1212	61	4	of	of	ADP
ijassa-1212	61	5	the	the	DET
ijassa-1212	61	6	locomotives	locomotive	NOUN
ijassa-1212	61	7	are	be	AUX
ijassa-1212	61	8	denoted	denote	VERB
ijassa-1212	61	9	by	by	ADP
ijassa-1212	61	10	points	point	NOUN
ijassa-1212	61	11	on	on	ADP
ijassa-1212	61	12	this	this	DET
ijassa-1212	61	13	plane	plane	NOUN
ijassa-1212	61	14	(	(	PUNCT
ijassa-1212	61	15	fig	fig	NOUN
ijassa-1212	61	16	.	.	PUNCT
ijassa-1212	61	17	2.1	2.1	NUM
ijassa-1212	61	18	)	)	PUNCT
ijassa-1212	61	19	.	.	PUNCT
ijassa-1212	62	1	given	give	VERB
ijassa-1212	62	2	locomotive	locomotive	ADJ
ijassa-1212	62	3	li	li	PROPN
ijassa-1212	62	4	has	have	VERB
ijassa-1212	62	5	coordinates	coordinate	NOUN
ijassa-1212	62	6	(	(	PUNCT
ijassa-1212	62	7	t0	t0	NOUN
ijassa-1212	62	8	,	,	PUNCT
ijassa-1212	62	9	sq	sq	PROPN
ijassa-1212	62	10	)	)	PUNCT
ijassa-1212	62	11	if	if	SCONJ
ijassa-1212	62	12	it	it	PRON
ijassa-1212	62	13	is	be	AUX
ijassa-1212	62	14	available	available	ADJ
ijassa-1212	62	15	starting	start	VERB
ijassa-1212	62	16	from	from	ADP
ijassa-1212	62	17	time	time	NOUN
ijassa-1212	62	18	moment	moment	NOUN
ijassa-1212	62	19	t0	t0	PROPN
ijassa-1212	62	20	.	.	PUNCT
ijassa-1212	63	1	otherwise	otherwise	ADV
ijassa-1212	63	2	it	it	PRON
ijassa-1212	63	3	has	have	VERB
ijassa-1212	63	4	time	time	NOUN
ijassa-1212	63	5	constraint	constraint	NOUN
ijassa-1212	63	6	”	"	PUNCT
ijassa-1212	63	7	on	on	ADP
ijassa-1212	63	8	the	the	DET
ijassa-1212	63	9	left	left	NOUN
ijassa-1212	63	10	”	"	PUNCT
ijassa-1212	63	11	and	and	CCONJ
ijassa-1212	63	12	its	its	PRON
ijassa-1212	63	13	coordinates	coordinate	NOUN
ijassa-1212	63	14	are	be	AUX
ijassa-1212	63	15	(	(	PUNCT
ijassa-1212	63	16	tr	tr	VERB
ijassa-1212	63	17	,	,	PUNCT
ijassa-1212	63	18	sq	sq	ADJ
ijassa-1212	63	19	)	)	PUNCT
ijassa-1212	63	20	where	where	SCONJ
ijassa-1212	63	21	r	r	NOUN
ijassa-1212	63	22	>	>	X
ijassa-1212	63	23	0	0	PUNCT
ijassa-1212	64	1	(	(	PUNCT
ijassa-1212	64	2	locomotives	locomotive	NOUN
ijassa-1212	64	3	l10	l10	PROPN
ijassa-1212	64	4	−	−	PROPN
ijassa-1212	64	5	l12	l12	NOUN
ijassa-1212	64	6	in	in	ADP
ijassa-1212	64	7	fig	fig	NOUN
ijassa-1212	64	8	.	.	PUNCT
ijassa-1212	65	1	2.1	2.1	NUM
ijassa-1212	65	2	)	)	PUNCT
ijassa-1212	65	3	.	.	PUNCT
ijassa-1212	66	1	we	we	PRON
ijassa-1212	66	2	consider	consider	VERB
ijassa-1212	66	3	a	a	DET
ijassa-1212	66	4	linear	linear	ADJ
ijassa-1212	66	5	section	section	NOUN
ijassa-1212	66	6	of	of	ADP
ijassa-1212	66	7	the	the	DET
ijassa-1212	66	8	railway	railway	NOUN
ijassa-1212	66	9	,	,	PUNCT
ijassa-1212	66	10	however	however	ADV
ijassa-1212	66	11	,	,	PUNCT
ijassa-1212	66	12	there	there	PRON
ijassa-1212	66	13	may	may	AUX
ijassa-1212	66	14	be	be	AUX
ijassa-1212	66	15	several	several	ADJ
ijassa-1212	66	16	tracks	track	NOUN
ijassa-1212	66	17	on	on	ADP
ijassa-1212	66	18	this	this	DET
ijassa-1212	66	19	section	section	NOUN
ijassa-1212	66	20	.	.	PUNCT
ijassa-1212	67	1	thus	thus	ADV
ijassa-1212	67	2	,	,	PUNCT
ijassa-1212	67	3	several	several	ADJ
ijassa-1212	67	4	parallel	parallel	ADJ
ijassa-1212	67	5	transportations	transportation	NOUN
ijassa-1212	67	6	are	be	AUX
ijassa-1212	67	7	allowed	allow	VERB
ijassa-1212	67	8	,	,	PUNCT
ijassa-1212	67	9	like	like	ADP
ijassa-1212	67	10	tr4	tr4	PROPN
ijassa-1212	67	11	and	and	CCONJ
ijassa-1212	67	12	tr5	tr5	PROPN
ijassa-1212	67	13	in	in	ADP
ijassa-1212	67	14	fig	fig	NOUN
ijassa-1212	67	15	.	.	PUNCT
ijassa-1212	68	1	2.1	2.1	NUM
ijassa-1212	68	2	.	.	PUNCT
ijassa-1212	69	1	2.2	2.2	NUM
ijassa-1212	69	2	.	.	PUNCT
ijassa-1212	70	1	reachability	reachability	NOUN
ijassa-1212	70	2	graph	graph	NOUN
ijassa-1212	70	3	consider	consider	VERB
ijassa-1212	70	4	two	two	NUM
ijassa-1212	70	5	transportations	transportation	NOUN
ijassa-1212	70	6	tri	tri	ADJ
ijassa-1212	70	7	and	and	CCONJ
ijassa-1212	70	8	trj	trj	X
ijassa-1212	70	9	.	.	PUNCT
ijassa-1212	71	1	they	they	PRON
ijassa-1212	71	2	characterize	characterize	VERB
ijassa-1212	71	3	by	by	ADP
ijassa-1212	71	4	two	two	NUM
ijassa-1212	71	5	pairs	pair	NOUN
ijassa-1212	71	6	of	of	ADP
ijassa-1212	71	7	coordinates	coordinate	NOUN
ijassa-1212	71	8	:	:	PUNCT
ijassa-1212	71	9	(	(	PUNCT
ijassa-1212	71	10	tih1	tih1	NOUN
ijassa-1212	71	11	,	,	PUNCT
ijassa-1212	71	12	si	si	PROPN
ijassa-1212	71	13	k1	k1	PROPN
ijassa-1212	71	14	)	)	PUNCT
ijassa-1212	71	15	,	,	PUNCT
ijassa-1212	71	16	(	(	PUNCT
ijassa-1212	71	17	til2	til2	PROPN
ijassa-1212	71	18	,	,	PUNCT
ijassa-1212	71	19	s	s	VERB
ijassa-1212	71	20	i	i	NOUN
ijassa-1212	71	21	p2	p2	PROPN
ijassa-1212	71	22	)	)	PUNCT
ijassa-1212	71	23	and	and	CCONJ
ijassa-1212	71	24	(	(	PUNCT
ijassa-1212	71	25	tjh1	tjh1	NOUN
ijassa-1212	71	26	,	,	PUNCT
ijassa-1212	71	27	sj	sj	NOUN
ijassa-1212	71	28	k1	k1	PROPN
ijassa-1212	71	29	)	)	PUNCT
ijassa-1212	71	30	,	,	PUNCT
ijassa-1212	71	31	(	(	PUNCT
ijassa-1212	71	32	tjl2	tjl2	PROPN
ijassa-1212	71	33	,	,	PUNCT
ijassa-1212	71	34	s	s	PART
ijassa-1212	71	35	j	j	PROPN
ijassa-1212	71	36	p2	p2	PROPN
ijassa-1212	71	37	)	)	PUNCT
ijassa-1212	71	38	.	.	PUNCT
ijassa-1212	72	1	suppose	suppose	VERB
ijassa-1212	72	2	that	that	SCONJ
ijassa-1212	72	3	transportation	transportation	PROPN
ijassa-1212	72	4	tri	tri	PROPN
ijassa-1212	72	5	ends	end	VERB
ijassa-1212	72	6	before	before	ADP
ijassa-1212	72	7	copyright	copyright	NOUN
ijassa-1212	72	8	©	©	PROPN
ijassa-1212	72	9	2022	2022	NUM
ijassa-1212	72	10	assa	assa	NOUN
ijassa-1212	72	11	.	.	PUNCT
ijassa-1212	73	1	adv	adv	PROPN
ijassa-1212	73	2	syst	syst	PROPN
ijassa-1212	73	3	sci	sci	PROPN
ijassa-1212	73	4	appl	appl	PROPN
ijassa-1212	73	5	(	(	PUNCT
ijassa-1212	73	6	2022	2022	NUM
ijassa-1212	73	7	)	)	PUNCT
ijassa-1212	73	8	48	48	NUM
ijassa-1212	73	9	l.	l.	PROPN
ijassa-1212	73	10	zhilyakova	zhilyakova	PROPN
ijassa-1212	73	11	,	,	PUNCT
ijassa-1212	73	12	v.	v.	ADP
ijassa-1212	73	13	koreshkov	koreshkov	PROPN
ijassa-1212	73	14	s1	s1	PROPN
ijassa-1212	73	15	s2	s2	PROPN
ijassa-1212	73	16	s3	s3	PROPN
ijassa-1212	73	17	s4s0	s4s0	VERB
ijassa-1212	73	18	0	0	NUM
ijassa-1212	73	19	4	4	NUM
ijassa-1212	73	20	7	7	NUM
ijassa-1212	73	21	2	2	NUM
ijassa-1212	73	22	8	8	NUM
ijassa-1212	73	23	tfin	tfin	NOUN
ijassa-1212	73	24	tr1	tr1	NOUN
ijassa-1212	73	25	tr2	tr2	NOUN
ijassa-1212	73	26	tr6tr4	tr6tr4	NOUN
ijassa-1212	73	27	tr5	tr5	NOUN
ijassa-1212	73	28	1	1	NUM
ijassa-1212	73	29	tr7	tr7	NOUN
ijassa-1212	73	30	tr3	tr3	NOUN
ijassa-1212	73	31	3	3	NUM
ijassa-1212	73	32	tr8	tr8	PROPN
ijassa-1212	73	33	tr9	tr9	PROPN
ijassa-1212	73	34	s5	s5	PROPN
ijassa-1212	73	35	s6	s6	PROPN
ijassa-1212	73	36	s7	s7	VERB
ijassa-1212	73	37	5	5	NUM
ijassa-1212	73	38	10	10	NUM
ijassa-1212	73	39	6	6	NUM
ijassa-1212	73	40	9	9	NUM
ijassa-1212	73	41	l6	l6	PROPN
ijassa-1212	73	42	l7	l7	PROPN
ijassa-1212	73	43	l8	l8	PROPN
ijassa-1212	73	44	l9l2l1	l9l2l1	PROPN
ijassa-1212	73	45	l5	l5	PROPN
ijassa-1212	73	46	l4l3	l4l3	X
ijassa-1212	73	47	locomotives	locomotive	VERB
ijassa-1212	73	48	transportationsli	transportationsli	PROPN
ijassa-1212	73	49	trj	trj	PROPN
ijassa-1212	73	50	l10	l10	PROPN
ijassa-1212	73	51	l11	l11	PROPN
ijassa-1212	73	52	l12	l12	PROPN
ijassa-1212	73	53	fig	fig	PROPN
ijassa-1212	73	54	.	.	PUNCT
ijassa-1212	74	1	2.1	2.1	NUM
ijassa-1212	74	2	.	.	PUNCT
ijassa-1212	74	3	geometric	geometric	ADJ
ijassa-1212	74	4	transportation	transportation	NOUN
ijassa-1212	74	5	model	model	NOUN
ijassa-1212	74	6	.	.	PUNCT
ijassa-1212	75	1	all	all	DET
ijassa-1212	75	2	locomotives	locomotive	NOUN
ijassa-1212	75	3	and	and	CCONJ
ijassa-1212	75	4	the	the	DET
ijassa-1212	75	5	earliest	early	ADJ
ijassa-1212	75	6	transportations	transportation	NOUN
ijassa-1212	75	7	are	be	AUX
ijassa-1212	75	8	labeled	label	VERB
ijassa-1212	75	9	transportation	transportation	NOUN
ijassa-1212	75	10	trj	trj	NOUN
ijassa-1212	75	11	starts	start	NOUN
ijassa-1212	75	12	:	:	PUNCT
ijassa-1212	75	13	til2	til2	VERB
ijassa-1212	75	14	<	<	X
ijassa-1212	75	15	tjh1	tjh1	NOUN
ijassa-1212	75	16	.	.	PUNCT
ijassa-1212	76	1	these	these	DET
ijassa-1212	76	2	transportations	transportation	NOUN
ijassa-1212	76	3	can	can	AUX
ijassa-1212	76	4	be	be	AUX
ijassa-1212	76	5	carried	carry	VERB
ijassa-1212	76	6	out	out	ADP
ijassa-1212	76	7	by	by	ADP
ijassa-1212	76	8	the	the	DET
ijassa-1212	76	9	same	same	ADJ
ijassa-1212	76	10	locomotive	locomotive	NOUN
ijassa-1212	76	11	if	if	SCONJ
ijassa-1212	76	12	their	their	PRON
ijassa-1212	76	13	coordinates	coordinate	NOUN
ijassa-1212	76	14	meet	meet	VERB
ijassa-1212	76	15	the	the	DET
ijassa-1212	76	16	condition	condition	NOUN
ijassa-1212	76	17	:	:	PUNCT
ijassa-1212	76	18	sj	sj	PROPN
ijassa-1212	76	19	k1	k1	PROPN
ijassa-1212	76	20	−	−	PROPN
ijassa-1212	76	21	si	si	PROPN
ijassa-1212	76	22	p2	p2	PROPN
ijassa-1212	76	23	≤	≤	PROPN
ijassa-1212	76	24	v(tjh1	v(tjh1	X
ijassa-1212	76	25	−	−	PROPN
ijassa-1212	76	26	til2	til2	PROPN
ijassa-1212	76	27	)	)	PUNCT
ijassa-1212	76	28	;	;	PUNCT
ijassa-1212	76	29	(	(	PUNCT
ijassa-1212	76	30	2.1	2.1	NUM
ijassa-1212	76	31	)	)	PUNCT
ijassa-1212	76	32	sj	sj	NOUN
ijassa-1212	76	33	k1	k1	NOUN
ijassa-1212	76	34	−	−	PROPN
ijassa-1212	76	35	si	si	PROPN
ijassa-1212	76	36	p2	p2	PROPN
ijassa-1212	76	37	≥	≥	NOUN
ijassa-1212	77	1	−v(tjh1	−v(tjh1	PROPN
ijassa-1212	77	2	−	−	PROPN
ijassa-1212	77	3	til2	til2	PROPN
ijassa-1212	77	4	)	)	PUNCT
ijassa-1212	77	5	.	.	PUNCT
ijassa-1212	78	1	(	(	PUNCT
ijassa-1212	78	2	2.2	2.2	NUM
ijassa-1212	78	3	)	)	PUNCT
ijassa-1212	78	4	in	in	ADP
ijassa-1212	78	5	general	general	ADJ
ijassa-1212	78	6	case	case	NOUN
ijassa-1212	78	7	,	,	PUNCT
ijassa-1212	78	8	a	a	DET
ijassa-1212	78	9	transportation	transportation	NOUN
ijassa-1212	78	10	can	can	AUX
ijassa-1212	78	11	be	be	AUX
ijassa-1212	78	12	carried	carry	VERB
ijassa-1212	78	13	out	out	ADP
ijassa-1212	78	14	after	after	ADP
ijassa-1212	78	15	transportation	transportation	NOUN
ijassa-1212	78	16	tri	tri	PROPN
ijassa-1212	78	17	if	if	SCONJ
ijassa-1212	78	18	it	it	PRON
ijassa-1212	78	19	is	be	AUX
ijassa-1212	78	20	inside	inside	ADP
ijassa-1212	78	21	the	the	DET
ijassa-1212	78	22	”	"	PUNCT
ijassa-1212	78	23	cone	cone	NOUN
ijassa-1212	78	24	of	of	ADP
ijassa-1212	78	25	reachability	reachability	NOUN
ijassa-1212	78	26	”	"	PUNCT
ijassa-1212	78	27	from	from	ADP
ijassa-1212	78	28	the	the	DET
ijassa-1212	78	29	right	right	ADJ
ijassa-1212	78	30	end	end	NOUN
ijassa-1212	78	31	of	of	ADP
ijassa-1212	78	32	transportation	transportation	NOUN
ijassa-1212	78	33	tri	tri	PROPN
ijassa-1212	78	34	.	.	PUNCT
ijassa-1212	79	1	s	s	PART
ijassa-1212	79	2	−	−	PROPN
ijassa-1212	79	3	si	si	PROPN
ijassa-1212	79	4	p2	p2	PROPN
ijassa-1212	79	5	≤	≤	NUM
ijassa-1212	79	6	v(t−	v(t−	PROPN
ijassa-1212	79	7	til2	til2	PROPN
ijassa-1212	79	8	)	)	PUNCT
ijassa-1212	79	9	;	;	PUNCT
ijassa-1212	79	10	s	s	VERB
ijassa-1212	79	11	−	−	PROPN
ijassa-1212	79	12	si	si	PROPN
ijassa-1212	79	13	p2	p2	PROPN
ijassa-1212	79	14	≥	≥	NUM
ijassa-1212	79	15	−v(t−	−v(t−	SYM
ijassa-1212	79	16	til2	til2	PROPN
ijassa-1212	79	17	)	)	PUNCT
ijassa-1212	79	18	.	.	PUNCT
ijassa-1212	80	1	since	since	SCONJ
ijassa-1212	80	2	all	all	DET
ijassa-1212	80	3	coordinates	coordinate	NOUN
ijassa-1212	80	4	of	of	ADP
ijassa-1212	80	5	transportations	transportation	NOUN
ijassa-1212	80	6	are	be	AUX
ijassa-1212	80	7	known	know	VERB
ijassa-1212	80	8	,	,	PUNCT
ijassa-1212	80	9	it	it	PRON
ijassa-1212	80	10	is	be	AUX
ijassa-1212	80	11	possible	possible	ADJ
ijassa-1212	80	12	to	to	PART
ijassa-1212	80	13	construct	construct	VERB
ijassa-1212	80	14	a	a	DET
ijassa-1212	80	15	reachability	reachability	NOUN
ijassa-1212	80	16	graph	graph	NOUN
ijassa-1212	80	17	.	.	PUNCT
ijassa-1212	81	1	its	its	PRON
ijassa-1212	81	2	vertices	vertex	NOUN
ijassa-1212	81	3	are	be	AUX
ijassa-1212	81	4	transportations	transportation	NOUN
ijassa-1212	81	5	,	,	PUNCT
ijassa-1212	81	6	and	and	CCONJ
ijassa-1212	81	7	arcs	arcs	PROPN
ijassa-1212	81	8	denote	denote	VERB
ijassa-1212	81	9	the	the	DET
ijassa-1212	81	10	reachability	reachability	NOUN
ijassa-1212	81	11	relation	relation	NOUN
ijassa-1212	81	12	of	of	ADP
ijassa-1212	81	13	the	the	DET
ijassa-1212	81	14	subsequent	subsequent	ADJ
ijassa-1212	81	15	transportation	transportation	NOUN
ijassa-1212	81	16	from	from	ADP
ijassa-1212	81	17	the	the	DET
ijassa-1212	81	18	previous	previous	ADJ
ijassa-1212	81	19	(	(	PUNCT
ijassa-1212	81	20	fig	fig	NOUN
ijassa-1212	81	21	.	.	PUNCT
ijassa-1212	81	22	2.2	2.2	NUM
ijassa-1212	81	23	)	)	PUNCT
ijassa-1212	81	24	.	.	PUNCT
ijassa-1212	82	1	2.3	2.3	NUM
ijassa-1212	82	2	.	.	PUNCT
ijassa-1212	82	3	transformations	transformation	NOUN
ijassa-1212	82	4	of	of	ADP
ijassa-1212	82	5	reachability	reachability	NOUN
ijassa-1212	82	6	graph	graph	NOUN
ijassa-1212	82	7	it	it	PRON
ijassa-1212	82	8	was	be	AUX
ijassa-1212	82	9	shown	show	VERB
ijassa-1212	82	10	in	in	ADP
ijassa-1212	82	11	[	[	X
ijassa-1212	82	12	9	9	NUM
ijassa-1212	82	13	]	]	PUNCT
ijassa-1212	82	14	that	that	SCONJ
ijassa-1212	82	15	the	the	DET
ijassa-1212	82	16	graph	graph	NOUN
ijassa-1212	82	17	in	in	ADP
ijassa-1212	82	18	the	the	DET
ijassa-1212	82	19	form	form	NOUN
ijassa-1212	82	20	represented	represent	VERB
ijassa-1212	82	21	in	in	ADP
ijassa-1212	82	22	fig	fig	NOUN
ijassa-1212	82	23	.	.	PUNCT
ijassa-1212	83	1	2.2	2.2	NUM
ijassa-1212	83	2	is	be	AUX
ijassa-1212	83	3	difficult	difficult	ADJ
ijassa-1212	83	4	to	to	PART
ijassa-1212	83	5	treat	treat	VERB
ijassa-1212	83	6	”	"	PUNCT
ijassa-1212	83	7	as	as	SCONJ
ijassa-1212	83	8	is	be	AUX
ijassa-1212	83	9	.	.	PUNCT
ijassa-1212	83	10	”	"	PUNCT
ijassa-1212	84	1	for	for	ADP
ijassa-1212	84	2	a	a	DET
ijassa-1212	84	3	problem	problem	NOUN
ijassa-1212	84	4	without	without	ADP
ijassa-1212	84	5	time	time	NOUN
ijassa-1212	84	6	constraints	constraint	NOUN
ijassa-1212	84	7	,	,	PUNCT
ijassa-1212	84	8	it	it	PRON
ijassa-1212	84	9	can	can	AUX
ijassa-1212	84	10	be	be	AUX
ijassa-1212	84	11	used	use	VERB
ijassa-1212	84	12	to	to	PART
ijassa-1212	84	13	find	find	VERB
ijassa-1212	84	14	a	a	DET
ijassa-1212	84	15	solution	solution	NOUN
ijassa-1212	84	16	.	.	PUNCT
ijassa-1212	85	1	however	however	ADV
ijassa-1212	85	2	,	,	PUNCT
ijassa-1212	85	3	in	in	ADP
ijassa-1212	85	4	a	a	DET
ijassa-1212	85	5	problem	problem	NOUN
ijassa-1212	85	6	with	with	ADP
ijassa-1212	85	7	time	time	NOUN
ijassa-1212	85	8	constraints	constraint	NOUN
ijassa-1212	85	9	,	,	PUNCT
ijassa-1212	85	10	the	the	DET
ijassa-1212	85	11	existing	exist	VERB
ijassa-1212	85	12	solution	solution	NOUN
ijassa-1212	85	13	may	may	AUX
ijassa-1212	85	14	not	not	PART
ijassa-1212	85	15	be	be	AUX
ijassa-1212	85	16	found	find	VERB
ijassa-1212	85	17	on	on	ADP
ijassa-1212	85	18	such	such	DET
ijassa-1212	85	19	a	a	DET
ijassa-1212	85	20	graph	graph	NOUN
ijassa-1212	85	21	.	.	PUNCT
ijassa-1212	86	1	copyright	copyright	NOUN
ijassa-1212	86	2	©	©	ADP
ijassa-1212	86	3	2022	2022	NUM
ijassa-1212	86	4	assa	assa	NOUN
ijassa-1212	86	5	.	.	PUNCT
ijassa-1212	87	1	adv	adv	PROPN
ijassa-1212	87	2	syst	syst	PROPN
ijassa-1212	87	3	sci	sci	PROPN
ijassa-1212	87	4	appl	appl	PROPN
ijassa-1212	87	5	(	(	PUNCT
ijassa-1212	87	6	2022	2022	NUM
ijassa-1212	87	7	)	)	PUNCT
ijassa-1212	87	8	graph	graph	NOUN
ijassa-1212	87	9	methods	method	NOUN
ijassa-1212	87	10	for	for	ADP
ijassa-1212	87	11	improving	improve	VERB
ijassa-1212	87	12	the	the	DET
ijassa-1212	87	13	invalid	invalid	ADJ
ijassa-1212	87	14	solution	solution	NOUN
ijassa-1212	87	15	of	of	ADP
ijassa-1212	87	16	the	the	DET
ijassa-1212	87	17	locomotive	locomotive	NOUN
ijassa-1212	87	18	...	...	PUNCT
ijassa-1212	87	19	49	49	NUM
ijassa-1212	87	20	t0	t0	NOUN
ijassa-1212	87	21	t1	t1	NOUN
ijassa-1212	87	22	t2	t2	PROPN
ijassa-1212	87	23	tfin	tfin	NOUN
ijassa-1212	87	24	…	…	PUNCT
ijassa-1212	87	25	transportations	transportation	NOUN
ijassa-1212	87	26	reachability	reachability	NOUN
ijassa-1212	87	27	relation	relation	NOUN
ijassa-1212	87	28	fig	fig	NOUN
ijassa-1212	87	29	.	.	PUNCT
ijassa-1212	88	1	2.2	2.2	NUM
ijassa-1212	88	2	.	.	PUNCT
ijassa-1212	89	1	reachability	reachability	NOUN
ijassa-1212	89	2	graph	graph	NOUN
ijassa-1212	89	3	.	.	PUNCT
ijassa-1212	90	1	vertices	vertex	NOUN
ijassa-1212	90	2	represent	represent	VERB
ijassa-1212	90	3	transportations	transportation	NOUN
ijassa-1212	90	4	,	,	PUNCT
ijassa-1212	90	5	arcs	arcs	PROPN
ijassa-1212	90	6	denote	denote	VERB
ijassa-1212	90	7	the	the	DET
ijassa-1212	90	8	reachability	reachability	NOUN
ijassa-1212	90	9	relation	relation	NOUN
ijassa-1212	90	10	.	.	PUNCT
ijassa-1212	91	1	the	the	DET
ijassa-1212	91	2	time	time	NOUN
ijassa-1212	91	3	axis	axis	NOUN
ijassa-1212	91	4	is	be	AUX
ijassa-1212	91	5	directed	direct	VERB
ijassa-1212	91	6	from	from	ADP
ijassa-1212	91	7	top	top	NOUN
ijassa-1212	91	8	to	to	ADP
ijassa-1212	91	9	bottom	bottom	NOUN
ijassa-1212	91	10	.	.	PUNCT
ijassa-1212	92	1	the	the	DET
ijassa-1212	92	2	time	time	NOUN
ijassa-1212	92	3	moments	moment	NOUN
ijassa-1212	92	4	of	of	ADP
ijassa-1212	92	5	departure	departure	NOUN
ijassa-1212	92	6	and	and	CCONJ
ijassa-1212	92	7	arrival	arrival	NOUN
ijassa-1212	92	8	of	of	ADP
ijassa-1212	92	9	trains	train	NOUN
ijassa-1212	92	10	are	be	AUX
ijassa-1212	92	11	marked	mark	VERB
ijassa-1212	92	12	.	.	PUNCT
ijassa-1212	93	1	several	several	ADJ
ijassa-1212	93	2	sequential	sequential	ADJ
ijassa-1212	93	3	transformations	transformation	NOUN
ijassa-1212	93	4	were	be	AUX
ijassa-1212	93	5	proposed	propose	VERB
ijassa-1212	93	6	,	,	PUNCT
ijassa-1212	93	7	making	make	VERB
ijassa-1212	93	8	it	it	PRON
ijassa-1212	93	9	possible	possible	ADJ
ijassa-1212	93	10	to	to	PART
ijassa-1212	93	11	obtain	obtain	VERB
ijassa-1212	93	12	a	a	DET
ijassa-1212	93	13	regular	regular	ADJ
ijassa-1212	93	14	structure	structure	NOUN
ijassa-1212	93	15	graph	graph	NOUN
ijassa-1212	93	16	.	.	PUNCT
ijassa-1212	94	1	the	the	DET
ijassa-1212	94	2	conversion	conversion	NOUN
ijassa-1212	94	3	sequence	sequence	NOUN
ijassa-1212	94	4	is	be	AUX
ijassa-1212	94	5	shown	show	VERB
ijassa-1212	94	6	in	in	ADP
ijassa-1212	94	7	fig	fig	NOUN
ijassa-1212	94	8	.	.	PUNCT
ijassa-1212	95	1	2.3	2.3	NUM
ijassa-1212	95	2	.	.	PUNCT
ijassa-1212	95	3	fig	fig	NOUN
ijassa-1212	95	4	.	.	PUNCT
ijassa-1212	96	1	2.3(a	2.3(a	NUM
ijassa-1212	96	2	)	)	PUNCT
ijassa-1212	96	3	contains	contain	VERB
ijassa-1212	96	4	the	the	DET
ijassa-1212	96	5	same	same	ADJ
ijassa-1212	96	6	graph	graph	NOUN
ijassa-1212	96	7	as	as	ADP
ijassa-1212	96	8	in	in	ADP
ijassa-1212	96	9	fig	fig	NOUN
ijassa-1212	96	10	.	.	PUNCT
ijassa-1212	97	1	2.2	2.2	NUM
ijassa-1212	97	2	.	.	PUNCT
ijassa-1212	98	1	dotted	dotted	ADJ
ijassa-1212	98	2	lines	line	NOUN
ijassa-1212	98	3	represent	represent	VERB
ijassa-1212	98	4	all	all	DET
ijassa-1212	98	5	potentially	potentially	ADV
ijassa-1212	98	6	possible	possible	ADJ
ijassa-1212	98	7	transportation	transportation	NOUN
ijassa-1212	98	8	sequences	sequence	NOUN
ijassa-1212	98	9	.	.	PUNCT
ijassa-1212	99	1	2.3.1	2.3.1	NUM
ijassa-1212	99	2	.	.	PUNCT
ijassa-1212	99	3	layer	layer	NOUN
ijassa-1212	99	4	-	-	PUNCT
ijassa-1212	99	5	by	by	ADP
ijassa-1212	99	6	-	-	PUNCT
ijassa-1212	99	7	layer	layer	NOUN
ijassa-1212	99	8	structure	structure	NOUN
ijassa-1212	99	9	.	.	PUNCT
ijassa-1212	100	1	we	we	PRON
ijassa-1212	100	2	define	define	VERB
ijassa-1212	100	3	the	the	DET
ijassa-1212	100	4	layered	layered	ADJ
ijassa-1212	100	5	structure	structure	NOUN
ijassa-1212	100	6	as	as	SCONJ
ijassa-1212	100	7	follows	follow	VERB
ijassa-1212	100	8	.	.	PUNCT
ijassa-1212	101	1	the	the	DET
ijassa-1212	101	2	first	first	ADJ
ijassa-1212	101	3	layer	layer	NOUN
ijassa-1212	101	4	contains	contain	VERB
ijassa-1212	101	5	those	those	DET
ijassa-1212	101	6	transportation	transportation	NOUN
ijassa-1212	101	7	j	j	PROPN
ijassa-1212	101	8	for	for	ADP
ijassa-1212	101	9	which	which	PRON
ijassa-1212	101	10	there	there	PRON
ijassa-1212	101	11	are	be	VERB
ijassa-1212	101	12	no	no	DET
ijassa-1212	101	13	transportations	transportation	NOUN
ijassa-1212	101	14	i	i	PRON
ijassa-1212	101	15	satisfying	satisfy	VERB
ijassa-1212	101	16	inequalities	inequality	NOUN
ijassa-1212	101	17	(	(	PUNCT
ijassa-1212	101	18	2.1	2.1	NUM
ijassa-1212	101	19	)	)	PUNCT
ijassa-1212	101	20	and	and	CCONJ
ijassa-1212	101	21	(	(	PUNCT
ijassa-1212	101	22	2.2	2.2	NUM
ijassa-1212	101	23	)	)	PUNCT
ijassa-1212	101	24	.	.	PUNCT
ijassa-1212	102	1	in	in	ADP
ijassa-1212	102	2	other	other	ADJ
ijassa-1212	102	3	words	word	NOUN
ijassa-1212	102	4	,	,	PUNCT
ijassa-1212	102	5	they	they	PRON
ijassa-1212	102	6	can	can	AUX
ijassa-1212	102	7	not	not	PART
ijassa-1212	102	8	be	be	AUX
ijassa-1212	102	9	transported	transport	VERB
ijassa-1212	102	10	after	after	ADP
ijassa-1212	102	11	any	any	DET
ijassa-1212	102	12	other	other	ADJ
ijassa-1212	102	13	transportation	transportation	NOUN
ijassa-1212	102	14	by	by	ADP
ijassa-1212	102	15	the	the	DET
ijassa-1212	102	16	same	same	ADJ
ijassa-1212	102	17	locomotive	locomotive	NOUN
ijassa-1212	102	18	.	.	PUNCT
ijassa-1212	103	1	the	the	DET
ijassa-1212	103	2	second	second	ADJ
ijassa-1212	103	3	layer	layer	NOUN
ijassa-1212	103	4	is	be	AUX
ijassa-1212	103	5	formed	form	VERB
ijassa-1212	103	6	only	only	ADV
ijassa-1212	103	7	by	by	ADP
ijassa-1212	103	8	those	those	DET
ijassa-1212	103	9	transportations	transportation	NOUN
ijassa-1212	103	10	that	that	PRON
ijassa-1212	103	11	are	be	AUX
ijassa-1212	103	12	reachable	reachable	ADJ
ijassa-1212	103	13	from	from	ADP
ijassa-1212	103	14	the	the	DET
ijassa-1212	103	15	first	first	ADJ
ijassa-1212	103	16	layer	layer	NOUN
ijassa-1212	103	17	’s	’s	PART
ijassa-1212	103	18	transportations	transportation	NOUN
ijassa-1212	103	19	,	,	PUNCT
ijassa-1212	103	20	and	and	CCONJ
ijassa-1212	103	21	from	from	ADP
ijassa-1212	103	22	no	no	DET
ijassa-1212	103	23	others	other	NOUN
ijassa-1212	103	24	.	.	PUNCT
ijassa-1212	104	1	that	that	PRON
ijassa-1212	104	2	is	is	ADV
ijassa-1212	104	3	,	,	PUNCT
ijassa-1212	104	4	they	they	PRON
ijassa-1212	104	5	have	have	VERB
ijassa-1212	104	6	parents	parent	NOUN
ijassa-1212	104	7	from	from	ADP
ijassa-1212	104	8	only	only	ADV
ijassa-1212	104	9	one	one	NUM
ijassa-1212	104	10	layer	layer	NOUN
ijassa-1212	104	11	.	.	PUNCT
ijassa-1212	105	1	transportation	transportation	NOUN
ijassa-1212	105	2	of	of	ADP
ijassa-1212	105	3	the	the	DET
ijassa-1212	105	4	third	third	ADJ
ijassa-1212	105	5	layer	layer	NOUN
ijassa-1212	105	6	has	have	VERB
ijassa-1212	105	7	parents	parent	NOUN
ijassa-1212	105	8	in	in	ADP
ijassa-1212	105	9	the	the	DET
ijassa-1212	105	10	first	first	ADJ
ijassa-1212	105	11	two	two	NUM
ijassa-1212	105	12	layers	layer	NOUN
ijassa-1212	105	13	(	(	PUNCT
ijassa-1212	105	14	necessarily	necessarily	ADV
ijassa-1212	105	15	in	in	ADP
ijassa-1212	105	16	both	both	PRON
ijassa-1212	105	17	)	)	PUNCT
ijassa-1212	105	18	.	.	PUNCT
ijassa-1212	106	1	then	then	ADV
ijassa-1212	106	2	the	the	DET
ijassa-1212	106	3	process	process	NOUN
ijassa-1212	106	4	is	be	AUX
ijassa-1212	106	5	repeated	repeat	VERB
ijassa-1212	106	6	.	.	PUNCT
ijassa-1212	107	1	the	the	DET
ijassa-1212	107	2	result	result	NOUN
ijassa-1212	107	3	of	of	ADP
ijassa-1212	107	4	such	such	ADJ
ijassa-1212	107	5	transformation	transformation	NOUN
ijassa-1212	107	6	(	(	PUNCT
ijassa-1212	107	7	with	with	ADP
ijassa-1212	107	8	some	some	DET
ijassa-1212	107	9	more	more	ADJ
ijassa-1212	107	10	modifications	modification	NOUN
ijassa-1212	107	11	)	)	PUNCT
ijassa-1212	107	12	is	be	AUX
ijassa-1212	107	13	demonstrated	demonstrate	VERB
ijassa-1212	107	14	in	in	ADP
ijassa-1212	107	15	fig	fig	NOUN
ijassa-1212	107	16	.	.	PUNCT
ijassa-1212	108	1	2.3(b	2.3(b	NUM
ijassa-1212	108	2	)	)	PUNCT
ijassa-1212	108	3	.	.	PUNCT
ijassa-1212	109	1	note	note	VERB
ijassa-1212	109	2	that	that	SCONJ
ijassa-1212	109	3	the	the	DET
ijassa-1212	109	4	time	time	NOUN
ijassa-1212	109	5	sequence	sequence	NOUN
ijassa-1212	109	6	of	of	ADP
ijassa-1212	109	7	transportations	transportation	NOUN
ijassa-1212	109	8	given	give	VERB
ijassa-1212	109	9	in	in	ADP
ijassa-1212	109	10	fig	fig	NOUN
ijassa-1212	109	11	.	.	PUNCT
ijassa-1212	110	1	2.3(a	2.3(a	NUM
ijassa-1212	110	2	)	)	PUNCT
ijassa-1212	110	3	is	be	AUX
ijassa-1212	110	4	violated	violate	VERB
ijassa-1212	110	5	.	.	PUNCT
ijassa-1212	111	1	2.3.2	2.3.2	X
ijassa-1212	111	2	.	.	PUNCT
ijassa-1212	111	3	elimination	elimination	NOUN
ijassa-1212	111	4	of	of	ADP
ijassa-1212	111	5	transitive	transitive	ADJ
ijassa-1212	111	6	closure	closure	NOUN
ijassa-1212	111	7	.	.	PUNCT
ijassa-1212	112	1	in	in	ADP
ijassa-1212	112	2	[	[	X
ijassa-1212	112	3	9	9	NUM
ijassa-1212	112	4	]	]	PUNCT
ijassa-1212	112	5	,	,	PUNCT
ijassa-1212	112	6	it	it	PRON
ijassa-1212	112	7	was	be	AUX
ijassa-1212	112	8	proved	prove	VERB
ijassa-1212	112	9	that	that	SCONJ
ijassa-1212	112	10	the	the	DET
ijassa-1212	112	11	arcs	arc	NOUN
ijassa-1212	112	12	of	of	ADP
ijassa-1212	112	13	transitive	transitive	ADJ
ijassa-1212	112	14	closure	closure	NOUN
ijassa-1212	112	15	passing	pass	VERB
ijassa-1212	112	16	through	through	ADP
ijassa-1212	112	17	one	one	NUM
ijassa-1212	112	18	or	or	CCONJ
ijassa-1212	112	19	several	several	ADJ
ijassa-1212	112	20	layers	layer	NOUN
ijassa-1212	112	21	can	can	AUX
ijassa-1212	112	22	be	be	AUX
ijassa-1212	112	23	eliminated	eliminate	VERB
ijassa-1212	112	24	in	in	ADP
ijassa-1212	112	25	a	a	DET
ijassa-1212	112	26	number	number	NOUN
ijassa-1212	112	27	of	of	ADP
ijassa-1212	112	28	cases	case	NOUN
ijassa-1212	112	29	.	.	PUNCT
ijassa-1212	113	1	all	all	DET
ijassa-1212	113	2	valid	valid	ADJ
ijassa-1212	113	3	cases	case	NOUN
ijassa-1212	113	4	are	be	AUX
ijassa-1212	113	5	described	describe	VERB
ijassa-1212	113	6	.	.	PUNCT
ijassa-1212	114	1	in	in	ADP
ijassa-1212	114	2	fig	fig	NOUN
ijassa-1212	114	3	.	.	PUNCT
ijassa-1212	115	1	2.2	2.2	NUM
ijassa-1212	115	2	and	and	CCONJ
ijassa-1212	115	3	fig	fig	NOUN
ijassa-1212	115	4	.	.	PUNCT
ijassa-1212	116	1	2.3(a	2.3(a	NUM
ijassa-1212	116	2	)	)	PUNCT
ijassa-1212	116	3	,	,	PUNCT
ijassa-1212	116	4	most	most	ADJ
ijassa-1212	116	5	of	of	ADP
ijassa-1212	116	6	these	these	DET
ijassa-1212	116	7	arcs	arc	NOUN
ijassa-1212	116	8	are	be	AUX
ijassa-1212	116	9	already	already	ADV
ijassa-1212	116	10	removed	remove	VERB
ijassa-1212	116	11	in	in	ADP
ijassa-1212	116	12	order	order	NOUN
ijassa-1212	116	13	to	to	PART
ijassa-1212	116	14	simplify	simplify	VERB
ijassa-1212	116	15	the	the	DET
ijassa-1212	116	16	picture	picture	NOUN
ijassa-1212	116	17	.	.	PUNCT
ijassa-1212	117	1	note	note	VERB
ijassa-1212	117	2	that	that	SCONJ
ijassa-1212	117	3	not	not	PART
ijassa-1212	117	4	all	all	DET
ijassa-1212	117	5	arcs	arc	NOUN
ijassa-1212	117	6	connecting	connect	VERB
ijassa-1212	117	7	vertices	vertex	NOUN
ijassa-1212	117	8	from	from	ADP
ijassa-1212	117	9	non	non	ADJ
ijassa-1212	117	10	-	-	ADJ
ijassa-1212	117	11	adjacent	adjacent	ADJ
ijassa-1212	117	12	layers	layer	NOUN
ijassa-1212	117	13	can	can	AUX
ijassa-1212	117	14	be	be	AUX
ijassa-1212	117	15	deleted	delete	VERB
ijassa-1212	117	16	.	.	PUNCT
ijassa-1212	118	1	2.3.3	2.3.3	X
ijassa-1212	118	2	.	.	PUNCT
ijassa-1212	118	3	cloning	cloning	NOUN
ijassa-1212	118	4	vertices	vertex	NOUN
ijassa-1212	118	5	to	to	ADP
ijassa-1212	118	6	all	all	DET
ijassa-1212	118	7	the	the	DET
ijassa-1212	118	8	layers	layer	NOUN
ijassa-1212	118	9	.	.	PUNCT
ijassa-1212	119	1	in	in	ADP
ijassa-1212	119	2	a	a	DET
ijassa-1212	119	3	problem	problem	NOUN
ijassa-1212	119	4	without	without	ADP
ijassa-1212	119	5	constraints	constraint	NOUN
ijassa-1212	119	6	,	,	PUNCT
ijassa-1212	119	7	such	such	DET
ijassa-1212	119	8	a	a	DET
ijassa-1212	119	9	procedure	procedure	NOUN
ijassa-1212	119	10	is	be	AUX
ijassa-1212	119	11	superfluous	superfluous	ADJ
ijassa-1212	119	12	.	.	PUNCT
ijassa-1212	120	1	however	however	ADV
ijassa-1212	120	2	,	,	PUNCT
ijassa-1212	120	3	in	in	ADP
ijassa-1212	120	4	a	a	DET
ijassa-1212	120	5	problem	problem	NOUN
ijassa-1212	120	6	with	with	ADP
ijassa-1212	120	7	time	time	NOUN
ijassa-1212	120	8	constraints	constraint	NOUN
ijassa-1212	120	9	,	,	PUNCT
ijassa-1212	120	10	when	when	SCONJ
ijassa-1212	120	11	the	the	DET
ijassa-1212	120	12	found	find	VERB
ijassa-1212	120	13	solution	solution	NOUN
ijassa-1212	120	14	is	be	AUX
ijassa-1212	120	15	invalid	invalid	ADJ
ijassa-1212	120	16	and	and	CCONJ
ijassa-1212	120	17	needs	need	VERB
ijassa-1212	120	18	to	to	PART
ijassa-1212	120	19	be	be	AUX
ijassa-1212	120	20	corrected	correct	VERB
ijassa-1212	120	21	,	,	PUNCT
ijassa-1212	120	22	the	the	DET
ijassa-1212	120	23	clone	clone	NOUN
ijassa-1212	120	24	vertices	vertex	NOUN
ijassa-1212	120	25	allow	allow	VERB
ijassa-1212	120	26	finding	find	VERB
ijassa-1212	120	27	those	those	DET
ijassa-1212	120	28	solutions	solution	NOUN
ijassa-1212	120	29	in	in	ADP
ijassa-1212	120	30	copyright	copyright	NOUN
ijassa-1212	120	31	©	©	PROPN
ijassa-1212	120	32	2022	2022	NUM
ijassa-1212	120	33	assa	assa	NOUN
ijassa-1212	120	34	.	.	PUNCT
ijassa-1212	121	1	adv	adv	PROPN
ijassa-1212	121	2	syst	syst	PROPN
ijassa-1212	121	3	sci	sci	PROPN
ijassa-1212	121	4	appl	appl	PROPN
ijassa-1212	121	5	(	(	PUNCT
ijassa-1212	121	6	2022	2022	NUM
ijassa-1212	121	7	)	)	PUNCT
ijassa-1212	121	8	50	50	NUM
ijassa-1212	121	9	l.	l.	NOUN
ijassa-1212	121	10	zhilyakova	zhilyakova	PROPN
ijassa-1212	121	11	,	,	PUNCT
ijassa-1212	121	12	v.	v.	ADP
ijassa-1212	121	13	koreshkov	koreshkov	NOUN
ijassa-1212	121	14	which	which	PRON
ijassa-1212	121	15	locomotives	locomotive	VERB
ijassa-1212	121	16	with	with	ADP
ijassa-1212	121	17	time	time	NOUN
ijassa-1212	121	18	constraints	constraint	NOUN
ijassa-1212	121	19	can	can	AUX
ijassa-1212	121	20	stop	stop	VERB
ijassa-1212	121	21	at	at	ADP
ijassa-1212	121	22	an	an	DET
ijassa-1212	121	23	intermediate	intermediate	ADJ
ijassa-1212	121	24	layer	layer	NOUN
ijassa-1212	121	25	(	(	PUNCT
ijassa-1212	121	26	or	or	CCONJ
ijassa-1212	121	27	start	start	VERB
ijassa-1212	121	28	from	from	ADP
ijassa-1212	121	29	an	an	DET
ijassa-1212	121	30	intermediate	intermediate	ADJ
ijassa-1212	121	31	layer	layer	NOUN
ijassa-1212	121	32	)	)	PUNCT
ijassa-1212	121	33	.	.	PUNCT
ijassa-1212	122	1	on	on	ADP
ijassa-1212	122	2	intermediate	intermediate	ADJ
ijassa-1212	122	3	layers	layer	NOUN
ijassa-1212	122	4	,	,	PUNCT
ijassa-1212	122	5	clone	clone	NOUN
ijassa-1212	122	6	vertices	vertex	NOUN
ijassa-1212	122	7	are	be	AUX
ijassa-1212	122	8	built	build	VERB
ijassa-1212	122	9	so	so	SCONJ
ijassa-1212	122	10	that	that	SCONJ
ijassa-1212	122	11	each	each	DET
ijassa-1212	122	12	pair	pair	NOUN
ijassa-1212	122	13	of	of	ADP
ijassa-1212	122	14	adjacent	adjacent	ADJ
ijassa-1212	122	15	layers	layer	NOUN
ijassa-1212	122	16	can	can	AUX
ijassa-1212	122	17	be	be	AUX
ijassa-1212	122	18	considered	consider	VERB
ijassa-1212	122	19	separately	separately	ADV
ijassa-1212	122	20	.	.	PUNCT
ijassa-1212	123	1	in	in	ADP
ijassa-1212	123	2	fig	fig	NOUN
ijassa-1212	123	3	.	.	PUNCT
ijassa-1212	124	1	2.3(c	2.3(c	X
ijassa-1212	124	2	)	)	PUNCT
ijassa-1212	124	3	cloned	clone	VERB
ijassa-1212	124	4	vertices	vertex	NOUN
ijassa-1212	124	5	and	and	CCONJ
ijassa-1212	124	6	new	new	ADJ
ijassa-1212	124	7	arcs	arc	NOUN
ijassa-1212	124	8	are	be	AUX
ijassa-1212	124	9	indicated	indicate	VERB
ijassa-1212	124	10	in	in	ADP
ijassa-1212	124	11	red	red	PROPN
ijassa-1212	124	12	.	.	PUNCT
ijassa-1212	124	13	fig	fig	NOUN
ijassa-1212	124	14	.	.	PUNCT
ijassa-1212	125	1	2.3(d	2.3(d	NUM
ijassa-1212	125	2	)	)	PUNCT
ijassa-1212	125	3	demonstrates	demonstrate	VERB
ijassa-1212	125	4	one	one	NUM
ijassa-1212	125	5	of	of	ADP
ijassa-1212	125	6	the	the	DET
ijassa-1212	125	7	solutions	solution	NOUN
ijassa-1212	125	8	:	:	PUNCT
ijassa-1212	125	9	minimal	minimal	ADJ
ijassa-1212	125	10	path	path	NOUN
ijassa-1212	125	11	cover	cover	NOUN
ijassa-1212	125	12	with	with	ADP
ijassa-1212	125	13	nine	nine	NUM
ijassa-1212	125	14	paths	path	NOUN
ijassa-1212	125	15	.	.	PUNCT
ijassa-1212	126	1	it	it	PRON
ijassa-1212	126	2	is	be	AUX
ijassa-1212	126	3	easy	easy	ADJ
ijassa-1212	126	4	to	to	PART
ijassa-1212	126	5	prove	prove	VERB
ijassa-1212	126	6	that	that	SCONJ
ijassa-1212	126	7	the	the	DET
ijassa-1212	126	8	number	number	NOUN
ijassa-1212	126	9	of	of	ADP
ijassa-1212	126	10	paths	path	NOUN
ijassa-1212	126	11	in	in	ADP
ijassa-1212	126	12	the	the	DET
ijassa-1212	126	13	cover	cover	NOUN
ijassa-1212	126	14	can	can	AUX
ijassa-1212	126	15	not	not	PART
ijassa-1212	126	16	be	be	AUX
ijassa-1212	126	17	less	less	ADJ
ijassa-1212	126	18	than	than	ADP
ijassa-1212	126	19	the	the	DET
ijassa-1212	126	20	number	number	NOUN
ijassa-1212	126	21	of	of	ADP
ijassa-1212	126	22	vertices	vertex	NOUN
ijassa-1212	126	23	in	in	ADP
ijassa-1212	126	24	the	the	DET
ijassa-1212	126	25	graph	graph	NOUN
ijassa-1212	126	26	’s	’s	PART
ijassa-1212	126	27	maximum	maximum	ADJ
ijassa-1212	126	28	layer	layer	NOUN
ijassa-1212	126	29	(	(	PUNCT
ijassa-1212	126	30	layer	layer	NOUN
ijassa-1212	126	31	with	with	ADP
ijassa-1212	126	32	a	a	DET
ijassa-1212	126	33	maximum	maximum	ADJ
ijassa-1212	126	34	number	number	NOUN
ijassa-1212	126	35	of	of	ADP
ijassa-1212	126	36	vertices	vertex	NOUN
ijassa-1212	126	37	)	)	PUNCT
ijassa-1212	126	38	.	.	PUNCT
ijassa-1212	127	1	(	(	PUNCT
ijassa-1212	127	2	b	b	X
ijassa-1212	127	3	)	)	PUNCT
ijassa-1212	127	4	(	(	PUNCT
ijassa-1212	127	5	d	d	X
ijassa-1212	127	6	)	)	PUNCT
ijassa-1212	127	7	(	(	PUNCT
ijassa-1212	127	8	a	a	X
ijassa-1212	127	9	)	)	PUNCT
ijassa-1212	127	10	(	(	PUNCT
ijassa-1212	127	11	c	c	X
ijassa-1212	127	12	)	)	PUNCT
ijassa-1212	127	13	fig	fig	NOUN
ijassa-1212	127	14	.	.	PUNCT
ijassa-1212	128	1	2.3	2.3	NUM
ijassa-1212	128	2	.	.	PUNCT
ijassa-1212	129	1	sequential	sequential	ADJ
ijassa-1212	129	2	transformations	transformation	NOUN
ijassa-1212	129	3	of	of	ADP
ijassa-1212	129	4	reachability	reachability	NOUN
ijassa-1212	129	5	graph	graph	NOUN
ijassa-1212	129	6	.	.	PUNCT
ijassa-1212	130	1	(	(	PUNCT
ijassa-1212	130	2	a	a	X
ijassa-1212	130	3	)	)	PUNCT
ijassa-1212	130	4	graph	graph	NOUN
ijassa-1212	130	5	coinciding	coincide	VERB
ijassa-1212	130	6	with	with	ADP
ijassa-1212	130	7	that	that	PRON
ijassa-1212	130	8	shown	show	VERB
ijassa-1212	130	9	in	in	ADP
ijassa-1212	130	10	fig	fig	NOUN
ijassa-1212	130	11	.	.	PUNCT
ijassa-1212	131	1	2.2	2.2	NUM
ijassa-1212	131	2	;	;	PUNCT
ijassa-1212	131	3	dotted	dotted	ADJ
ijassa-1212	131	4	lines	line	NOUN
ijassa-1212	131	5	are	be	AUX
ijassa-1212	131	6	all	all	PRON
ijassa-1212	131	7	possible	possible	ADJ
ijassa-1212	131	8	interchanging	interchanging	NOUN
ijassa-1212	131	9	of	of	ADP
ijassa-1212	131	10	locomotives	locomotive	NOUN
ijassa-1212	131	11	between	between	ADP
ijassa-1212	131	12	transportations	transportation	NOUN
ijassa-1212	131	13	;	;	PUNCT
ijassa-1212	131	14	(	(	PUNCT
ijassa-1212	131	15	b	b	X
ijassa-1212	131	16	)	)	PUNCT
ijassa-1212	131	17	layer	layer	NOUN
ijassa-1212	131	18	-	-	PUNCT
ijassa-1212	131	19	by	by	ADP
ijassa-1212	131	20	-	-	PUNCT
ijassa-1212	131	21	layer	layer	NOUN
ijassa-1212	131	22	graph	graph	NOUN
ijassa-1212	131	23	organization	organization	NOUN
ijassa-1212	131	24	;	;	PUNCT
ijassa-1212	131	25	blue	blue	ADJ
ijassa-1212	131	26	dashed	dash	VERB
ijassa-1212	131	27	lines	line	NOUN
ijassa-1212	131	28	are	be	AUX
ijassa-1212	131	29	arcs	arc	NOUN
ijassa-1212	131	30	between	between	ADP
ijassa-1212	131	31	non	non	ADJ
ijassa-1212	131	32	-	-	ADJ
ijassa-1212	131	33	adjacent	adjacent	ADJ
ijassa-1212	131	34	layers	layer	NOUN
ijassa-1212	131	35	;	;	PUNCT
ijassa-1212	131	36	(	(	PUNCT
ijassa-1212	131	37	c	c	X
ijassa-1212	131	38	)	)	PUNCT
ijassa-1212	131	39	cloning	cloning	NOUN
ijassa-1212	131	40	vertices	vertex	NOUN
ijassa-1212	131	41	to	to	ADP
ijassa-1212	131	42	the	the	DET
ijassa-1212	131	43	intermediate	intermediate	ADJ
ijassa-1212	131	44	and	and	CCONJ
ijassa-1212	131	45	bottom	bottom	ADJ
ijassa-1212	131	46	layers	layer	NOUN
ijassa-1212	131	47	;	;	PUNCT
ijassa-1212	131	48	(	(	PUNCT
ijassa-1212	131	49	d	d	X
ijassa-1212	131	50	)	)	PUNCT
ijassa-1212	131	51	the	the	DET
ijassa-1212	131	52	minimal	minimal	ADJ
ijassa-1212	131	53	cover	cover	NOUN
ijassa-1212	131	54	found	find	VERB
ijassa-1212	131	55	3	3	NUM
ijassa-1212	131	56	.	.	PUNCT
ijassa-1212	131	57	solving	solve	VERB
ijassa-1212	131	58	the	the	DET
ijassa-1212	131	59	problem	problem	NOUN
ijassa-1212	131	60	without	without	ADP
ijassa-1212	131	61	time	time	NOUN
ijassa-1212	131	62	constraints	constraint	NOUN
ijassa-1212	131	63	in	in	ADP
ijassa-1212	131	64	[	[	X
ijassa-1212	131	65	9	9	NUM
ijassa-1212	131	66	]	]	PUNCT
ijassa-1212	131	67	,	,	PUNCT
ijassa-1212	131	68	it	it	PRON
ijassa-1212	131	69	is	be	AUX
ijassa-1212	131	70	proved	prove	VERB
ijassa-1212	131	71	that	that	SCONJ
ijassa-1212	131	72	solving	solve	VERB
ijassa-1212	131	73	the	the	DET
ijassa-1212	131	74	problem	problem	NOUN
ijassa-1212	131	75	without	without	ADP
ijassa-1212	131	76	time	time	NOUN
ijassa-1212	131	77	constraints	constraint	NOUN
ijassa-1212	131	78	on	on	ADP
ijassa-1212	131	79	locomotives	locomotive	NOUN
ijassa-1212	131	80	is	be	AUX
ijassa-1212	131	81	equivalent	equivalent	ADJ
ijassa-1212	131	82	to	to	ADP
ijassa-1212	131	83	finding	find	VERB
ijassa-1212	131	84	the	the	DET
ijassa-1212	131	85	minimal	minimal	ADJ
ijassa-1212	131	86	path	path	NOUN
ijassa-1212	131	87	cover	cover	NOUN
ijassa-1212	131	88	of	of	ADP
ijassa-1212	131	89	an	an	DET
ijassa-1212	131	90	acyclic	acyclic	ADJ
ijassa-1212	131	91	graph	graph	NOUN
ijassa-1212	131	92	.	.	PUNCT
ijassa-1212	132	1	3.1	3.1	NUM
ijassa-1212	132	2	.	.	PUNCT
ijassa-1212	132	3	finding	find	VERB
ijassa-1212	132	4	the	the	DET
ijassa-1212	132	5	minimal	minimal	ADJ
ijassa-1212	132	6	path	path	NOUN
ijassa-1212	132	7	cover	cover	VERB
ijassa-1212	132	8	the	the	DET
ijassa-1212	132	9	minimal	minimal	ADJ
ijassa-1212	132	10	path	path	NOUN
ijassa-1212	132	11	cover	cover	NOUN
ijassa-1212	132	12	of	of	ADP
ijassa-1212	132	13	a	a	DET
ijassa-1212	132	14	directed	direct	VERB
ijassa-1212	132	15	acyclic	acyclic	ADJ
ijassa-1212	132	16	graph	graph	NOUN
ijassa-1212	132	17	can	can	AUX
ijassa-1212	132	18	be	be	AUX
ijassa-1212	132	19	found	find	VERB
ijassa-1212	132	20	as	as	ADP
ijassa-1212	132	21	the	the	DET
ijassa-1212	132	22	maximum	maximum	ADJ
ijassa-1212	132	23	matching	matching	NOUN
ijassa-1212	132	24	in	in	ADP
ijassa-1212	132	25	a	a	DET
ijassa-1212	132	26	corresponding	corresponding	ADJ
ijassa-1212	132	27	bipartite	bipartite	NOUN
ijassa-1212	132	28	graph	graph	NOUN
ijassa-1212	132	29	where	where	SCONJ
ijassa-1212	132	30	each	each	DET
ijassa-1212	132	31	”	"	PUNCT
ijassa-1212	132	32	intermediate	intermediate	ADJ
ijassa-1212	132	33	”	"	PUNCT
ijassa-1212	132	34	vertex	vertex	NOUN
ijassa-1212	132	35	of	of	ADP
ijassa-1212	132	36	an	an	DET
ijassa-1212	132	37	original	original	ADJ
ijassa-1212	132	38	graph	graph	NOUN
ijassa-1212	132	39	(	(	PUNCT
ijassa-1212	132	40	a	a	DET
ijassa-1212	132	41	vertex	vertex	NOUN
ijassa-1212	132	42	that	that	PRON
ijassa-1212	132	43	has	have	VERB
ijassa-1212	132	44	an	an	DET
ijassa-1212	132	45	ancestor	ancestor	NOUN
ijassa-1212	132	46	and	and	CCONJ
ijassa-1212	132	47	a	a	DET
ijassa-1212	132	48	child	child	NOUN
ijassa-1212	132	49	)	)	PUNCT
ijassa-1212	132	50	is	be	AUX
ijassa-1212	132	51	divided	divide	VERB
ijassa-1212	132	52	into	into	ADP
ijassa-1212	132	53	two	two	NUM
ijassa-1212	132	54	halves	half	NOUN
ijassa-1212	132	55	.	.	PUNCT
ijassa-1212	133	1	one	one	NUM
ijassa-1212	133	2	half	half	NOUN
ijassa-1212	133	3	has	have	VERB
ijassa-1212	133	4	only	only	ADV
ijassa-1212	133	5	input	input	NOUN
ijassa-1212	133	6	arcs	arc	NOUN
ijassa-1212	133	7	,	,	PUNCT
ijassa-1212	133	8	the	the	DET
ijassa-1212	133	9	other	other	ADJ
ijassa-1212	133	10	only	only	ADJ
ijassa-1212	133	11	output	output	NOUN
ijassa-1212	133	12	arcs	arc	NOUN
ijassa-1212	134	1	[	[	X
ijassa-1212	134	2	12–15	12–15	NUM
ijassa-1212	134	3	]	]	PUNCT
ijassa-1212	134	4	.	.	PUNCT
ijassa-1212	135	1	this	this	PRON
ijassa-1212	135	2	is	be	AUX
ijassa-1212	135	3	demonstrated	demonstrate	VERB
ijassa-1212	135	4	schematically	schematically	NOUN
ijassa-1212	135	5	in	in	ADP
ijassa-1212	135	6	fig	fig	NOUN
ijassa-1212	135	7	.	.	PUNCT
ijassa-1212	136	1	2.3	2.3	NUM
ijassa-1212	136	2	(	(	PUNCT
ijassa-1212	136	3	b)(d	b)(d	NUM
ijassa-1212	136	4	)	)	PUNCT
ijassa-1212	136	5	.	.	PUNCT
ijassa-1212	137	1	copyright	copyright	NOUN
ijassa-1212	137	2	©	©	PROPN
ijassa-1212	137	3	2022	2022	NUM
ijassa-1212	137	4	assa	assa	NOUN
ijassa-1212	137	5	.	.	PUNCT
ijassa-1212	138	1	adv	adv	PROPN
ijassa-1212	138	2	syst	syst	PROPN
ijassa-1212	138	3	sci	sci	PROPN
ijassa-1212	138	4	appl	appl	PROPN
ijassa-1212	138	5	(	(	PUNCT
ijassa-1212	138	6	2022	2022	NUM
ijassa-1212	138	7	)	)	PUNCT
ijassa-1212	138	8	graph	graph	NOUN
ijassa-1212	138	9	methods	method	NOUN
ijassa-1212	138	10	for	for	ADP
ijassa-1212	138	11	improving	improve	VERB
ijassa-1212	138	12	the	the	DET
ijassa-1212	138	13	invalid	invalid	ADJ
ijassa-1212	138	14	solution	solution	NOUN
ijassa-1212	138	15	of	of	ADP
ijassa-1212	138	16	the	the	DET
ijassa-1212	138	17	locomotive	locomotive	NOUN
ijassa-1212	138	18	...	...	PUNCT
ijassa-1212	138	19	51	51	NUM
ijassa-1212	138	20	the	the	DET
ijassa-1212	138	21	layered	layered	ADJ
ijassa-1212	138	22	structure	structure	NOUN
ijassa-1212	138	23	of	of	ADP
ijassa-1212	138	24	a	a	DET
ijassa-1212	138	25	reachability	reachability	NOUN
ijassa-1212	138	26	graph	graph	NOUN
ijassa-1212	138	27	shows	show	VERB
ijassa-1212	138	28	that	that	SCONJ
ijassa-1212	138	29	the	the	DET
ijassa-1212	138	30	vertices	vertex	NOUN
ijassa-1212	138	31	or	or	CCONJ
ijassa-1212	138	32	half	half	ADJ
ijassa-1212	138	33	-	-	PUNCT
ijassa-1212	138	34	vertices	vertex	NOUN
ijassa-1212	138	35	that	that	PRON
ijassa-1212	138	36	form	form	VERB
ijassa-1212	138	37	two	two	NUM
ijassa-1212	138	38	adjacent	adjacent	ADJ
ijassa-1212	138	39	layers	layer	NOUN
ijassa-1212	138	40	can	can	AUX
ijassa-1212	138	41	be	be	AUX
ijassa-1212	138	42	considered	consider	VERB
ijassa-1212	138	43	as	as	ADP
ijassa-1212	138	44	independent	independent	ADJ
ijassa-1212	138	45	components	component	NOUN
ijassa-1212	138	46	of	of	ADP
ijassa-1212	138	47	a	a	DET
ijassa-1212	138	48	bipartite	bipartite	NOUN
ijassa-1212	138	49	graph	graph	NOUN
ijassa-1212	138	50	.	.	PUNCT
ijassa-1212	139	1	in	in	ADP
ijassa-1212	139	2	this	this	DET
ijassa-1212	139	3	case	case	NOUN
ijassa-1212	139	4	,	,	PUNCT
ijassa-1212	139	5	the	the	DET
ijassa-1212	139	6	maximum	maximum	PROPN
ijassa-1212	139	7	matching	matching	NOUN
ijassa-1212	139	8	can	can	AUX
ijassa-1212	139	9	be	be	AUX
ijassa-1212	139	10	found	find	VERB
ijassa-1212	139	11	between	between	ADP
ijassa-1212	139	12	each	each	DET
ijassa-1212	139	13	pair	pair	NOUN
ijassa-1212	139	14	of	of	ADP
ijassa-1212	139	15	layers	layer	NOUN
ijassa-1212	139	16	separately	separately	ADV
ijassa-1212	139	17	.	.	PUNCT
ijassa-1212	140	1	this	this	DET
ijassa-1212	140	2	decomposition	decomposition	NOUN
ijassa-1212	140	3	significantly	significantly	ADV
ijassa-1212	140	4	reduces	reduce	VERB
ijassa-1212	140	5	the	the	DET
ijassa-1212	140	6	size	size	NOUN
ijassa-1212	140	7	of	of	ADP
ijassa-1212	140	8	the	the	DET
ijassa-1212	140	9	problem	problem	NOUN
ijassa-1212	140	10	.	.	PUNCT
ijassa-1212	141	1	after	after	ADP
ijassa-1212	141	2	finding	find	VERB
ijassa-1212	141	3	the	the	DET
ijassa-1212	141	4	maximum	maximum	ADJ
ijassa-1212	141	5	matching	matching	NOUN
ijassa-1212	141	6	,	,	PUNCT
ijassa-1212	141	7	back	back	ADV
ijassa-1212	141	8	-	-	PUNCT
ijassa-1212	141	9	gluing	glue	VERB
ijassa-1212	141	10	the	the	DET
ijassa-1212	141	11	half	half	ADJ
ijassa-1212	141	12	-	-	PUNCT
ijassa-1212	141	13	vertices	vertex	NOUN
ijassa-1212	141	14	restores	restore	VERB
ijassa-1212	141	15	the	the	DET
ijassa-1212	141	16	solution	solution	NOUN
ijassa-1212	141	17	:	:	PUNCT
ijassa-1212	141	18	the	the	DET
ijassa-1212	141	19	minimal	minimal	ADJ
ijassa-1212	141	20	path	path	NOUN
ijassa-1212	141	21	cover	cover	NOUN
ijassa-1212	141	22	.	.	PUNCT
ijassa-1212	142	1	3.2	3.2	NUM
ijassa-1212	142	2	.	.	PUNCT
ijassa-1212	143	1	formal	formal	ADJ
ijassa-1212	143	2	definitions	definition	NOUN
ijassa-1212	143	3	let	let	VERB
ijassa-1212	143	4	g	g	NOUN
ijassa-1212	143	5	=	=	SYM
ijassa-1212	143	6	(	(	PUNCT
ijassa-1212	143	7	x	x	X
ijassa-1212	143	8	,	,	PUNCT
ijassa-1212	143	9	a	a	PRON
ijassa-1212	143	10	)	)	PUNCT
ijassa-1212	143	11	be	be	AUX
ijassa-1212	143	12	a	a	DET
ijassa-1212	143	13	directed	direct	VERB
ijassa-1212	143	14	graph	graph	NOUN
ijassa-1212	143	15	,	,	PUNCT
ijassa-1212	143	16	where	where	SCONJ
ijassa-1212	143	17	x	x	PRON
ijassa-1212	143	18	is	be	AUX
ijassa-1212	143	19	a	a	DET
ijassa-1212	143	20	set	set	NOUN
ijassa-1212	143	21	of	of	ADP
ijassa-1212	143	22	vertices	vertex	NOUN
ijassa-1212	143	23	,	,	PUNCT
ijassa-1212	143	24	a	a	PRON
ijassa-1212	143	25	is	be	AUX
ijassa-1212	143	26	a	a	DET
ijassa-1212	143	27	set	set	NOUN
ijassa-1212	143	28	of	of	ADP
ijassa-1212	143	29	arcs	arc	NOUN
ijassa-1212	143	30	.	.	PUNCT
ijassa-1212	144	1	definition	definition	NOUN
ijassa-1212	144	2	3.1	3.1	NUM
ijassa-1212	144	3	:	:	PUNCT
ijassa-1212	144	4	the	the	DET
ijassa-1212	144	5	sequence	sequence	NOUN
ijassa-1212	144	6	of	of	ADP
ijassa-1212	144	7	vertices	vertex	NOUN
ijassa-1212	144	8	and	and	CCONJ
ijassa-1212	144	9	arcs	arc	NOUN
ijassa-1212	144	10	(	(	PUNCT
ijassa-1212	144	11	xi0	xi0	NOUN
ijassa-1212	144	12	,	,	PUNCT
ijassa-1212	144	13	ai0	ai0	PROPN
ijassa-1212	144	14	,	,	PUNCT
ijassa-1212	144	15	xi1	xi1	PROPN
ijassa-1212	144	16	,	,	PUNCT
ijassa-1212	144	17	ai1	ai1	PROPN
ijassa-1212	144	18	,	,	PUNCT
ijassa-1212	144	19	...	...	PUNCT
ijassa-1212	144	20	,	,	PUNCT
ijassa-1212	144	21	xik−1	xik−1	PROPN
ijassa-1212	144	22	,	,	PUNCT
ijassa-1212	144	23	aik−1	aik−1	PROPN
ijassa-1212	144	24	,	,	PUNCT
ijassa-1212	144	25	xik	xik	PROPN
ijassa-1212	144	26	)	)	PUNCT
ijassa-1212	144	27	in	in	ADP
ijassa-1212	144	28	graph	graph	NOUN
ijassa-1212	144	29	g	g	PROPN
ijassa-1212	144	30	is	be	AUX
ijassa-1212	144	31	called	call	VERB
ijassa-1212	144	32	a	a	DET
ijassa-1212	144	33	path	path	NOUN
ijassa-1212	144	34	.	.	PUNCT
ijassa-1212	145	1	here	here	ADV
ijassa-1212	145	2	aij	aij	PROPN
ijassa-1212	145	3	=	=	SYM
ijassa-1212	145	4	(	(	PUNCT
ijassa-1212	145	5	xij−1	xij−1	PROPN
ijassa-1212	145	6	,	,	PUNCT
ijassa-1212	145	7	xij	xij	PROPN
ijassa-1212	145	8	)	)	PUNCT
ijassa-1212	145	9	,	,	PUNCT
ijassa-1212	145	10	j	j	PROPN
ijassa-1212	145	11	=	=	SYM
ijassa-1212	145	12	1	1	PROPN
ijassa-1212	145	13	,	,	PUNCT
ijassa-1212	145	14	k.	k.	PROPN
ijassa-1212	145	15	definition	definition	NOUN
ijassa-1212	145	16	3.2	3.2	NUM
ijassa-1212	145	17	:	:	PUNCT
ijassa-1212	145	18	a	a	DET
ijassa-1212	145	19	simple	simple	ADJ
ijassa-1212	145	20	path	path	NOUN
ijassa-1212	145	21	is	be	AUX
ijassa-1212	145	22	a	a	DET
ijassa-1212	145	23	sequence	sequence	NOUN
ijassa-1212	145	24	of	of	ADP
ijassa-1212	145	25	vertices	vertex	NOUN
ijassa-1212	145	26	and	and	CCONJ
ijassa-1212	145	27	arcs	arc	NOUN
ijassa-1212	145	28	(	(	PUNCT
ijassa-1212	145	29	xi0	xi0	NOUN
ijassa-1212	145	30	,	,	PUNCT
ijassa-1212	145	31	ai0	ai0	PROPN
ijassa-1212	145	32	,	,	PUNCT
ijassa-1212	145	33	xi1	xi1	PROPN
ijassa-1212	145	34	,	,	PUNCT
ijassa-1212	145	35	ai1	ai1	PROPN
ijassa-1212	145	36	,	,	PUNCT
ijassa-1212	145	37	...	...	PUNCT
ijassa-1212	145	38	,	,	PUNCT
ijassa-1212	145	39	xik−1	xik−1	PROPN
ijassa-1212	145	40	,	,	PUNCT
ijassa-1212	145	41	aik−1	aik−1	PROPN
ijassa-1212	145	42	,	,	PUNCT
ijassa-1212	145	43	xik	xik	PROPN
ijassa-1212	145	44	)	)	PUNCT
ijassa-1212	145	45	such	such	ADJ
ijassa-1212	145	46	that	that	SCONJ
ijassa-1212	145	47	all	all	DET
ijassa-1212	145	48	vertices	vertex	NOUN
ijassa-1212	145	49	in	in	ADP
ijassa-1212	145	50	it	it	PRON
ijassa-1212	145	51	are	be	AUX
ijassa-1212	145	52	distinct	distinct	ADJ
ijassa-1212	145	53	.	.	PUNCT
ijassa-1212	146	1	remark	remark	NOUN
ijassa-1212	146	2	3.1	3.1	NUM
ijassa-1212	146	3	:	:	PUNCT
ijassa-1212	146	4	note	note	VERB
ijassa-1212	146	5	that	that	SCONJ
ijassa-1212	146	6	in	in	ADP
ijassa-1212	146	7	a	a	DET
ijassa-1212	146	8	directed	direct	VERB
ijassa-1212	146	9	acyclic	acyclic	ADJ
ijassa-1212	146	10	graph	graph	NOUN
ijassa-1212	146	11	,	,	PUNCT
ijassa-1212	146	12	any	any	DET
ijassa-1212	146	13	path	path	NOUN
ijassa-1212	146	14	is	be	AUX
ijassa-1212	146	15	simple	simple	ADJ
ijassa-1212	146	16	.	.	PUNCT
ijassa-1212	147	1	paths	path	NOUN
ijassa-1212	147	2	in	in	ADP
ijassa-1212	147	3	the	the	DET
ijassa-1212	147	4	reachability	reachability	NOUN
ijassa-1212	147	5	graph	graph	NOUN
ijassa-1212	147	6	will	will	AUX
ijassa-1212	147	7	be	be	AUX
ijassa-1212	147	8	denoted	denote	VERB
ijassa-1212	147	9	as	as	ADP
ijassa-1212	147	10	{	{	PUNCT
ijassa-1212	147	11	path1	path1	NOUN
ijassa-1212	147	12	,	,	PUNCT
ijassa-1212	147	13	...	...	PUNCT
ijassa-1212	147	14	,	,	PUNCT
ijassa-1212	147	15	pathk	pathk	ADJ
ijassa-1212	147	16	}	}	PUNCT
ijassa-1212	147	17	.	.	PUNCT
ijassa-1212	148	1	pathi	pathi	PROPN
ijassa-1212	148	2	=	=	PUNCT
ijassa-1212	148	3	(	(	PUNCT
ijassa-1212	148	4	xi0	xi0	PROPN
ijassa-1212	148	5	,	,	PUNCT
ijassa-1212	148	6	ai0	ai0	PROPN
ijassa-1212	148	7	,	,	PUNCT
ijassa-1212	148	8	xi1	xi1	PROPN
ijassa-1212	148	9	,	,	PUNCT
ijassa-1212	148	10	ai1	ai1	PROPN
ijassa-1212	148	11	,	,	PUNCT
ijassa-1212	148	12	...	...	PUNCT
ijassa-1212	148	13	,	,	PUNCT
ijassa-1212	148	14	xik−1	xik−1	PROPN
ijassa-1212	148	15	,	,	PUNCT
ijassa-1212	148	16	aik−1	aik−1	PROPN
ijassa-1212	148	17	,	,	PUNCT
ijassa-1212	148	18	xik	xik	PROPN
ijassa-1212	148	19	)	)	PUNCT
ijassa-1212	148	20	=	=	SYM
ijassa-1212	148	21	(	(	PUNCT
ijassa-1212	148	22	xi	xi	PROPN
ijassa-1212	148	23	,	,	PUNCT
ijassa-1212	148	24	ai	ai	NOUN
ijassa-1212	148	25	)	)	PUNCT
ijassa-1212	148	26	.	.	PUNCT
ijassa-1212	149	1	definition	definition	NOUN
ijassa-1212	149	2	3.3	3.3	NUM
ijassa-1212	149	3	:	:	PUNCT
ijassa-1212	149	4	a	a	DET
ijassa-1212	149	5	set	set	NOUN
ijassa-1212	149	6	of	of	ADP
ijassa-1212	149	7	paths	path	NOUN
ijassa-1212	150	1	p	p	NOUN
ijassa-1212	150	2	=	=	PUNCT
ijassa-1212	150	3	{	{	PUNCT
ijassa-1212	150	4	path1	path1	PROPN
ijassa-1212	150	5	,	,	PUNCT
ijassa-1212	150	6	...	...	PUNCT
ijassa-1212	150	7	,	,	PUNCT
ijassa-1212	150	8	pathk	pathk	ADJ
ijassa-1212	150	9	}	}	PUNCT
ijassa-1212	150	10	,	,	PUNCT
ijassa-1212	150	11	where	where	SCONJ
ijassa-1212	150	12	pathi	pathi	PROPN
ijassa-1212	150	13	=	=	SYM
ijassa-1212	150	14	(	(	PUNCT
ijassa-1212	150	15	xi	xi	PROPN
ijassa-1212	150	16	,	,	PUNCT
ijassa-1212	150	17	ai	ai	VERB
ijassa-1212	150	18	)	)	PUNCT
ijassa-1212	150	19	,	,	PUNCT
ijassa-1212	150	20	is	be	AUX
ijassa-1212	150	21	called	call	VERB
ijassa-1212	150	22	a	a	DET
ijassa-1212	150	23	path	path	NOUN
ijassa-1212	150	24	cover	cover	NOUN
ijassa-1212	150	25	of	of	ADP
ijassa-1212	150	26	a	a	DET
ijassa-1212	150	27	directed	direct	VERB
ijassa-1212	150	28	graph	graph	NOUN
ijassa-1212	150	29	,	,	PUNCT
ijassa-1212	150	30	if	if	SCONJ
ijassa-1212	150	31	xi	xi	NUM
ijassa-1212	150	32	∩xj	∩xj	NOUN
ijassa-1212	150	33	=	=	PUNCT
ijassa-1212	150	34	∅	∅	NOUN
ijassa-1212	150	35	for	for	ADP
ijassa-1212	150	36	i	i	PRON
ijassa-1212	150	37	6=	6=	PROPN
ijassa-1212	150	38	j	j	PROPN
ijassa-1212	150	39	and	and	CCONJ
ijassa-1212	150	40	∪ki=1xi	∪ki=1xi	NOUN
ijassa-1212	150	41	=	=	SYM
ijassa-1212	151	1	x	x	NOUN
ijassa-1212	151	2	;	;	PUNCT
ijassa-1212	151	3	accordingly	accordingly	ADV
ijassa-1212	151	4	,	,	PUNCT
ijassa-1212	151	5	ai	ai	VERB
ijassa-1212	151	6	∩	∩	ADJ
ijassa-1212	151	7	aj	aj	PROPN
ijassa-1212	151	8	=	=	PROPN
ijassa-1212	151	9	∅	∅	NOUN
ijassa-1212	151	10	for	for	ADP
ijassa-1212	151	11	i	i	PRON
ijassa-1212	151	12	6=	6=	PROPN
ijassa-1212	151	13	j	j	NOUN
ijassa-1212	151	14	and	and	CCONJ
ijassa-1212	151	15	∪ki=1ai	∪ki=1ai	VERB
ijassa-1212	151	16	⊆	⊆	NUM
ijassa-1212	151	17	a.	a.	NOUN
ijassa-1212	151	18	the	the	DET
ijassa-1212	151	19	cardinality	cardinality	NOUN
ijassa-1212	151	20	of	of	ADP
ijassa-1212	151	21	a	a	DET
ijassa-1212	151	22	path	path	NOUN
ijassa-1212	151	23	cover	cover	NOUN
ijassa-1212	151	24	k	k	NOUN
ijassa-1212	151	25	=	=	PUNCT
ijassa-1212	151	26	|p	|p	PUNCT
ijassa-1212	152	1	|	|	ADV
ijassa-1212	152	2	is	be	AUX
ijassa-1212	152	3	called	call	VERB
ijassa-1212	152	4	the	the	DET
ijassa-1212	152	5	cover	cover	NOUN
ijassa-1212	152	6	size	size	NOUN
ijassa-1212	152	7	.	.	PUNCT
ijassa-1212	153	1	since	since	SCONJ
ijassa-1212	153	2	any	any	DET
ijassa-1212	153	3	isolated	isolated	ADJ
ijassa-1212	153	4	vertex	vertex	NOUN
ijassa-1212	153	5	is	be	AUX
ijassa-1212	153	6	a	a	DET
ijassa-1212	153	7	reduced	reduced	ADJ
ijassa-1212	153	8	case	case	NOUN
ijassa-1212	153	9	of	of	ADP
ijassa-1212	153	10	a	a	DET
ijassa-1212	153	11	path	path	NOUN
ijassa-1212	153	12	,	,	PUNCT
ijassa-1212	153	13	a	a	DET
ijassa-1212	153	14	path	path	NOUN
ijassa-1212	153	15	cover	cover	NOUN
ijassa-1212	153	16	always	always	ADV
ijassa-1212	153	17	exists	exist	VERB
ijassa-1212	153	18	.	.	PUNCT
ijassa-1212	154	1	definition	definition	NOUN
ijassa-1212	154	2	3.4	3.4	NUM
ijassa-1212	154	3	:	:	PUNCT
ijassa-1212	154	4	a	a	DET
ijassa-1212	154	5	path	path	NOUN
ijassa-1212	154	6	cover	cover	NOUN
ijassa-1212	154	7	p	p	NOUN
ijassa-1212	154	8	=	=	X
ijassa-1212	154	9	{	{	PUNCT
ijassa-1212	154	10	path1	path1	PROPN
ijassa-1212	154	11	,	,	PUNCT
ijassa-1212	154	12	...	...	PUNCT
ijassa-1212	154	13	,	,	PUNCT
ijassa-1212	154	14	pathk	pathk	ADJ
ijassa-1212	154	15	}	}	PUNCT
ijassa-1212	154	16	is	be	AUX
ijassa-1212	154	17	minimal	minimal	ADJ
ijassa-1212	154	18	if	if	SCONJ
ijassa-1212	154	19	there	there	PRON
ijassa-1212	154	20	is	be	VERB
ijassa-1212	154	21	no	no	DET
ijassa-1212	154	22	cover	cover	NOUN
ijassa-1212	154	23	of	of	ADP
ijassa-1212	154	24	size	size	NOUN
ijassa-1212	154	25	l	l	NOUN
ijassa-1212	154	26	,	,	PUNCT
ijassa-1212	154	27	such	such	ADJ
ijassa-1212	154	28	that	that	SCONJ
ijassa-1212	154	29	l	l	NOUN
ijassa-1212	154	30	<	<	X
ijassa-1212	154	31	k.	k.	PROPN
ijassa-1212	154	32	3.3	3.3	NUM
ijassa-1212	154	33	.	.	PUNCT
ijassa-1212	155	1	optimal	optimal	ADJ
ijassa-1212	155	2	solution	solution	NOUN
ijassa-1212	155	3	the	the	DET
ijassa-1212	155	4	number	number	NOUN
ijassa-1212	155	5	of	of	ADP
ijassa-1212	155	6	paths	path	NOUN
ijassa-1212	155	7	in	in	ADP
ijassa-1212	155	8	the	the	DET
ijassa-1212	155	9	minimal	minimal	ADJ
ijassa-1212	155	10	cover	cover	NOUN
ijassa-1212	155	11	determines	determine	VERB
ijassa-1212	155	12	the	the	DET
ijassa-1212	155	13	minimum	minimum	ADJ
ijassa-1212	155	14	number	number	NOUN
ijassa-1212	155	15	of	of	ADP
ijassa-1212	155	16	locomotives	locomotive	NOUN
ijassa-1212	155	17	for	for	ADP
ijassa-1212	155	18	the	the	DET
ijassa-1212	155	19	performing	performing	NOUN
ijassa-1212	155	20	of	of	ADP
ijassa-1212	155	21	all	all	DET
ijassa-1212	155	22	transportations	transportation	NOUN
ijassa-1212	155	23	.	.	PUNCT
ijassa-1212	156	1	to	to	PART
ijassa-1212	156	2	solve	solve	VERB
ijassa-1212	156	3	the	the	DET
ijassa-1212	156	4	assignment	assignment	NOUN
ijassa-1212	156	5	problem	problem	NOUN
ijassa-1212	156	6	,	,	PUNCT
ijassa-1212	156	7	one	one	NUM
ijassa-1212	156	8	more	more	ADJ
ijassa-1212	156	9	matching	matching	NOUN
ijassa-1212	156	10	must	must	AUX
ijassa-1212	156	11	be	be	AUX
ijassa-1212	156	12	performed	perform	VERB
ijassa-1212	156	13	–	–	PUNCT
ijassa-1212	156	14	between	between	ADP
ijassa-1212	156	15	the	the	DET
ijassa-1212	156	16	found	find	VERB
ijassa-1212	156	17	paths	path	NOUN
ijassa-1212	156	18	and	and	CCONJ
ijassa-1212	156	19	the	the	DET
ijassa-1212	156	20	available	available	ADJ
ijassa-1212	156	21	locomotives	locomotive	NOUN
ijassa-1212	156	22	.	.	PUNCT
ijassa-1212	157	1	if	if	SCONJ
ijassa-1212	157	2	there	there	PRON
ijassa-1212	157	3	is	be	VERB
ijassa-1212	157	4	a	a	DET
ijassa-1212	157	5	matching	matching	NOUN
ijassa-1212	157	6	that	that	PRON
ijassa-1212	157	7	involves	involve	VERB
ijassa-1212	157	8	all	all	DET
ijassa-1212	157	9	paths	path	NOUN
ijassa-1212	157	10	,	,	PUNCT
ijassa-1212	157	11	then	then	ADV
ijassa-1212	157	12	the	the	DET
ijassa-1212	157	13	unconstrained	unconstrained	ADJ
ijassa-1212	157	14	problem	problem	NOUN
ijassa-1212	157	15	has	have	VERB
ijassa-1212	157	16	a	a	DET
ijassa-1212	157	17	solution	solution	NOUN
ijassa-1212	157	18	.	.	PUNCT
ijassa-1212	158	1	let	let	VERB
ijassa-1212	158	2	the	the	DET
ijassa-1212	158	3	solution	solution	NOUN
ijassa-1212	158	4	of	of	ADP
ijassa-1212	158	5	the	the	DET
ijassa-1212	158	6	unconstrained	unconstrained	ADJ
ijassa-1212	158	7	problem	problem	NOUN
ijassa-1212	158	8	exist	exist	VERB
ijassa-1212	158	9	.	.	PUNCT
ijassa-1212	159	1	we	we	PRON
ijassa-1212	159	2	can	can	AUX
ijassa-1212	159	3	assign	assign	VERB
ijassa-1212	159	4	at	at	ADV
ijassa-1212	159	5	least	least	ADV
ijassa-1212	159	6	one	one	NUM
ijassa-1212	159	7	locomotive	locomotive	NOUN
ijassa-1212	159	8	to	to	ADP
ijassa-1212	159	9	each	each	DET
ijassa-1212	159	10	path	path	NOUN
ijassa-1212	159	11	(	(	PUNCT
ijassa-1212	159	12	i.e.	i.e.	X
ijassa-1212	159	13	consequence	consequence	NOUN
ijassa-1212	159	14	of	of	ADP
ijassa-1212	159	15	transportations	transportation	NOUN
ijassa-1212	159	16	)	)	PUNCT
ijassa-1212	159	17	.	.	PUNCT
ijassa-1212	160	1	the	the	DET
ijassa-1212	160	2	question	question	NOUN
ijassa-1212	160	3	arises	arise	VERB
ijassa-1212	160	4	whether	whether	SCONJ
ijassa-1212	160	5	the	the	DET
ijassa-1212	160	6	found	find	VERB
ijassa-1212	160	7	solution	solution	NOUN
ijassa-1212	160	8	can	can	AUX
ijassa-1212	160	9	be	be	AUX
ijassa-1212	160	10	corrected	correct	VERB
ijassa-1212	160	11	if	if	SCONJ
ijassa-1212	160	12	it	it	PRON
ijassa-1212	160	13	does	do	AUX
ijassa-1212	160	14	not	not	PART
ijassa-1212	160	15	satisfy	satisfy	VERB
ijassa-1212	160	16	the	the	DET
ijassa-1212	160	17	time	time	NOUN
ijassa-1212	160	18	constraints	constraint	NOUN
ijassa-1212	160	19	imposed	impose	VERB
ijassa-1212	160	20	on	on	ADP
ijassa-1212	160	21	some	some	DET
ijassa-1212	160	22	locomotives	locomotive	NOUN
ijassa-1212	160	23	.	.	PUNCT
ijassa-1212	161	1	such	such	DET
ijassa-1212	161	2	a	a	DET
ijassa-1212	161	3	solution	solution	NOUN
ijassa-1212	161	4	will	will	AUX
ijassa-1212	161	5	be	be	AUX
ijassa-1212	161	6	called	call	VERB
ijassa-1212	161	7	invalid	invalid	ADJ
ijassa-1212	161	8	.	.	PUNCT
ijassa-1212	162	1	4	4	X
ijassa-1212	162	2	.	.	X
ijassa-1212	162	3	correcting	correct	VERB
ijassa-1212	162	4	invalid	invalid	ADJ
ijassa-1212	162	5	solution	solution	NOUN
ijassa-1212	162	6	4.1	4.1	NUM
ijassa-1212	162	7	.	.	PUNCT
ijassa-1212	163	1	crossover	crossover	NOUN
ijassa-1212	163	2	and	and	CCONJ
ijassa-1212	163	3	changeover	changeover	NOUN
ijassa-1212	163	4	operations	operation	NOUN
ijassa-1212	163	5	.	.	PUNCT
ijassa-1212	164	1	distance	distance	NOUN
ijassa-1212	164	2	between	between	ADP
ijassa-1212	164	3	paths	path	NOUN
ijassa-1212	164	4	to	to	PART
ijassa-1212	164	5	describe	describe	VERB
ijassa-1212	164	6	the	the	DET
ijassa-1212	164	7	procedure	procedure	NOUN
ijassa-1212	164	8	for	for	ADP
ijassa-1212	164	9	correcting	correct	VERB
ijassa-1212	164	10	the	the	DET
ijassa-1212	164	11	found	find	VERB
ijassa-1212	164	12	minimal	minimal	ADJ
ijassa-1212	164	13	cover	cover	NOUN
ijassa-1212	164	14	,	,	PUNCT
ijassa-1212	164	15	consider	consider	VERB
ijassa-1212	164	16	the	the	DET
ijassa-1212	164	17	illustration	illustration	NOUN
ijassa-1212	164	18	in	in	ADP
ijassa-1212	164	19	fig	fig	NOUN
ijassa-1212	164	20	.	.	PUNCT
ijassa-1212	165	1	4.4	4.4	NUM
ijassa-1212	165	2	.	.	PUNCT
ijassa-1212	165	3	fig	fig	NOUN
ijassa-1212	165	4	.	.	PUNCT
ijassa-1212	166	1	4.4(a	4.4(a	NUM
ijassa-1212	166	2	)	)	PUNCT
ijassa-1212	166	3	represents	represent	VERB
ijassa-1212	166	4	the	the	DET
ijassa-1212	166	5	locomotive	locomotive	ADJ
ijassa-1212	166	6	assignment	assignment	NOUN
ijassa-1212	166	7	to	to	ADP
ijassa-1212	166	8	the	the	DET
ijassa-1212	166	9	transportation	transportation	NOUN
ijassa-1212	166	10	sequences	sequence	NOUN
ijassa-1212	166	11	denoted	denote	VERB
ijassa-1212	166	12	by	by	ADP
ijassa-1212	166	13	paths	path	NOUN
ijassa-1212	166	14	in	in	ADP
ijassa-1212	166	15	the	the	DET
ijassa-1212	166	16	cover	cover	NOUN
ijassa-1212	166	17	.	.	PUNCT
ijassa-1212	167	1	consider	consider	VERB
ijassa-1212	167	2	the	the	DET
ijassa-1212	167	3	fragment	fragment	NOUN
ijassa-1212	167	4	of	of	ADP
ijassa-1212	167	5	the	the	DET
ijassa-1212	167	6	cover	cover	NOUN
ijassa-1212	167	7	with	with	ADP
ijassa-1212	167	8	three	three	NUM
ijassa-1212	167	9	paths	path	NOUN
ijassa-1212	167	10	and	and	CCONJ
ijassa-1212	167	11	three	three	NUM
ijassa-1212	167	12	locomotives	locomotive	NOUN
ijassa-1212	167	13	with	with	ADP
ijassa-1212	167	14	indices	index	NOUN
ijassa-1212	167	15	5	5	NUM
ijassa-1212	167	16	,	,	PUNCT
ijassa-1212	167	17	6	6	NUM
ijassa-1212	167	18	,	,	PUNCT
ijassa-1212	167	19	and	and	CCONJ
ijassa-1212	167	20	7	7	X
ijassa-1212	167	21	.	.	X
ijassa-1212	168	1	let	let	VERB
ijassa-1212	168	2	locomotive	locomotive	ADJ
ijassa-1212	168	3	6	6	NUM
ijassa-1212	168	4	have	have	VERB
ijassa-1212	168	5	a	a	DET
ijassa-1212	168	6	time	time	NOUN
ijassa-1212	168	7	constraint	constraint	NOUN
ijassa-1212	168	8	,	,	PUNCT
ijassa-1212	168	9	and	and	CCONJ
ijassa-1212	168	10	the	the	DET
ijassa-1212	168	11	last	last	ADJ
ijassa-1212	168	12	transportation	transportation	NOUN
ijassa-1212	168	13	in	in	ADP
ijassa-1212	168	14	the	the	DET
ijassa-1212	168	15	path	path	NOUN
ijassa-1212	168	16	can	can	AUX
ijassa-1212	168	17	not	not	PART
ijassa-1212	168	18	be	be	AUX
ijassa-1212	168	19	performed	perform	VERB
ijassa-1212	168	20	(	(	PUNCT
ijassa-1212	168	21	fig	fig	NOUN
ijassa-1212	168	22	.	.	PUNCT
ijassa-1212	169	1	4.4(b	4.4(b	NUM
ijassa-1212	169	2	)	)	PUNCT
ijassa-1212	169	3	)	)	PUNCT
ijassa-1212	169	4	.	.	PUNCT
ijassa-1212	170	1	copyright	copyright	NOUN
ijassa-1212	170	2	©	©	PROPN
ijassa-1212	170	3	2022	2022	NUM
ijassa-1212	170	4	assa	assa	NOUN
ijassa-1212	170	5	.	.	PUNCT
ijassa-1212	171	1	adv	adv	PROPN
ijassa-1212	171	2	syst	syst	PROPN
ijassa-1212	171	3	sci	sci	PROPN
ijassa-1212	171	4	appl	appl	PROPN
ijassa-1212	171	5	(	(	PUNCT
ijassa-1212	171	6	2022	2022	NUM
ijassa-1212	171	7	)	)	PUNCT
ijassa-1212	171	8	52	52	NUM
ijassa-1212	171	9	l.	l.	PROPN
ijassa-1212	171	10	zhilyakova	zhilyakova	PROPN
ijassa-1212	171	11	,	,	PUNCT
ijassa-1212	171	12	v.	v.	ADP
ijassa-1212	171	13	koreshkov	koreshkov	PROPN
ijassa-1212	171	14	1	1	NUM
ijassa-1212	171	15	2	2	NUM
ijassa-1212	171	16	4	4	NUM
ijassa-1212	171	17	3	3	NUM
ijassa-1212	171	18	5	5	NUM
ijassa-1212	171	19	6	6	NUM
ijassa-1212	171	20	7	7	NUM
ijassa-1212	171	21	9	9	NUM
ijassa-1212	171	22	8	8	NUM
ijassa-1212	171	23	5	5	NUM
ijassa-1212	171	24	6	6	NUM
ijassa-1212	171	25	7	7	NUM
ijassa-1212	171	26	5	5	NUM
ijassa-1212	171	27	6	6	NUM
ijassa-1212	171	28	7	7	NUM
ijassa-1212	171	29	(	(	PUNCT
ijassa-1212	171	30	a	a	NOUN
ijassa-1212	171	31	)	)	PUNCT
ijassa-1212	171	32	(	(	PUNCT
ijassa-1212	171	33	b	b	X
ijassa-1212	171	34	)	)	PUNCT
ijassa-1212	171	35	(	(	PUNCT
ijassa-1212	171	36	c	c	NOUN
ijassa-1212	171	37	)	)	PUNCT
ijassa-1212	171	38	!	!	PUNCT
ijassa-1212	171	39	!	!	PUNCT
ijassa-1212	171	40	!	!	PUNCT
ijassa-1212	172	1	fig	fig	NOUN
ijassa-1212	172	2	.	.	PUNCT
ijassa-1212	173	1	4.4	4.4	NUM
ijassa-1212	173	2	.	.	PUNCT
ijassa-1212	173	3	correction	correction	NOUN
ijassa-1212	173	4	of	of	ADP
ijassa-1212	173	5	the	the	DET
ijassa-1212	173	6	invalid	invalid	ADJ
ijassa-1212	173	7	minimal	minimal	ADJ
ijassa-1212	173	8	path	path	NOUN
ijassa-1212	173	9	cover	cover	NOUN
ijassa-1212	173	10	.	.	PUNCT
ijassa-1212	174	1	(	(	PUNCT
ijassa-1212	174	2	a	a	X
ijassa-1212	174	3	)	)	PUNCT
ijassa-1212	174	4	minimal	minimal	ADJ
ijassa-1212	174	5	path	path	NOUN
ijassa-1212	174	6	cover	cover	NOUN
ijassa-1212	174	7	,	,	PUNCT
ijassa-1212	174	8	coinciding	coincide	VERB
ijassa-1212	174	9	with	with	ADP
ijassa-1212	174	10	fig	fig	NOUN
ijassa-1212	174	11	.	.	PUNCT
ijassa-1212	175	1	2.3(d	2.3(d	NUM
ijassa-1212	175	2	)	)	PUNCT
ijassa-1212	175	3	,	,	PUNCT
ijassa-1212	175	4	and	and	CCONJ
ijassa-1212	175	5	the	the	DET
ijassa-1212	175	6	locomotive	locomotive	ADJ
ijassa-1212	175	7	assignment	assignment	NOUN
ijassa-1212	175	8	for	for	ADP
ijassa-1212	175	9	each	each	DET
ijassa-1212	175	10	sequence	sequence	NOUN
ijassa-1212	175	11	of	of	ADP
ijassa-1212	175	12	transportations	transportation	NOUN
ijassa-1212	175	13	;	;	PUNCT
ijassa-1212	175	14	(	(	PUNCT
ijassa-1212	175	15	b	b	X
ijassa-1212	175	16	)	)	PUNCT
ijassa-1212	175	17	the	the	DET
ijassa-1212	175	18	highlighted	highlight	VERB
ijassa-1212	175	19	fragment	fragment	NOUN
ijassa-1212	175	20	of	of	ADP
ijassa-1212	175	21	fig	fig	NOUN
ijassa-1212	175	22	.	.	PUNCT
ijassa-1212	176	1	4.4(a	4.4(a	NUM
ijassa-1212	176	2	):	):	PUNCT
ijassa-1212	176	3	locomotive	locomotive	ADJ
ijassa-1212	176	4	6	6	NUM
ijassa-1212	176	5	has	have	VERB
ijassa-1212	176	6	a	a	DET
ijassa-1212	176	7	time	time	NOUN
ijassa-1212	176	8	constraint	constraint	NOUN
ijassa-1212	176	9	and	and	CCONJ
ijassa-1212	176	10	can	can	AUX
ijassa-1212	176	11	not	not	PART
ijassa-1212	176	12	perform	perform	VERB
ijassa-1212	176	13	the	the	DET
ijassa-1212	176	14	last	last	ADJ
ijassa-1212	176	15	transportation	transportation	NOUN
ijassa-1212	176	16	;	;	PUNCT
ijassa-1212	176	17	(	(	PUNCT
ijassa-1212	176	18	c	c	X
ijassa-1212	176	19	)	)	PUNCT
ijassa-1212	176	20	the	the	DET
ijassa-1212	176	21	two	two	NUM
ijassa-1212	176	22	paths	path	NOUN
ijassa-1212	176	23	exchange	exchange	NOUN
ijassa-1212	176	24	sections	section	NOUN
ijassa-1212	176	25	between	between	ADP
ijassa-1212	176	26	the	the	DET
ijassa-1212	176	27	last	last	ADJ
ijassa-1212	176	28	two	two	NUM
ijassa-1212	176	29	layers	layer	NOUN
ijassa-1212	176	30	.	.	PUNCT
ijassa-1212	177	1	obtaining	obtain	VERB
ijassa-1212	177	2	the	the	DET
ijassa-1212	177	3	valid	valid	ADJ
ijassa-1212	177	4	cover	cover	NOUN
ijassa-1212	177	5	in	in	ADP
ijassa-1212	177	6	[	[	X
ijassa-1212	177	7	9	9	NUM
ijassa-1212	177	8	]	]	PUNCT
ijassa-1212	177	9	,	,	PUNCT
ijassa-1212	177	10	a	a	DET
ijassa-1212	177	11	method	method	NOUN
ijassa-1212	177	12	is	be	AUX
ijassa-1212	177	13	described	describe	VERB
ijassa-1212	177	14	that	that	SCONJ
ijassa-1212	177	15	allows	allow	VERB
ijassa-1212	177	16	changing	change	VERB
ijassa-1212	177	17	the	the	DET
ijassa-1212	177	18	assignments	assignment	NOUN
ijassa-1212	177	19	of	of	ADP
ijassa-1212	177	20	locomotives	locomotive	NOUN
ijassa-1212	177	21	without	without	ADP
ijassa-1212	177	22	changing	change	VERB
ijassa-1212	177	23	the	the	DET
ijassa-1212	177	24	paths	path	NOUN
ijassa-1212	177	25	if	if	SCONJ
ijassa-1212	177	26	such	such	DET
ijassa-1212	177	27	a	a	DET
ijassa-1212	177	28	new	new	ADJ
ijassa-1212	177	29	assignment	assignment	NOUN
ijassa-1212	177	30	exists	exist	VERB
ijassa-1212	177	31	.	.	PUNCT
ijassa-1212	178	1	so	so	ADV
ijassa-1212	178	2	,	,	PUNCT
ijassa-1212	178	3	let	let	VERB
ijassa-1212	178	4	us	we	PRON
ijassa-1212	178	5	assume	assume	VERB
ijassa-1212	178	6	that	that	SCONJ
ijassa-1212	178	7	it	it	PRON
ijassa-1212	178	8	is	be	AUX
ijassa-1212	178	9	impossible	impossible	ADJ
ijassa-1212	178	10	to	to	PART
ijassa-1212	178	11	obtain	obtain	VERB
ijassa-1212	178	12	a	a	DET
ijassa-1212	178	13	valid	valid	ADJ
ijassa-1212	178	14	cover	cover	NOUN
ijassa-1212	178	15	by	by	ADP
ijassa-1212	178	16	changing	change	VERB
ijassa-1212	178	17	the	the	DET
ijassa-1212	178	18	locomotives	locomotive	NOUN
ijassa-1212	178	19	’	'	PUNCT
ijassa-1212	178	20	assignment	assignment	NOUN
ijassa-1212	178	21	.	.	PUNCT
ijassa-1212	179	1	in	in	ADP
ijassa-1212	179	2	this	this	DET
ijassa-1212	179	3	instance	instance	NOUN
ijassa-1212	179	4	,	,	PUNCT
ijassa-1212	179	5	this	this	PRON
ijassa-1212	179	6	means	mean	VERB
ijassa-1212	179	7	that	that	SCONJ
ijassa-1212	179	8	locomotive	locomotive	ADJ
ijassa-1212	179	9	6	6	NUM
ijassa-1212	179	10	has	have	VERB
ijassa-1212	179	11	no	no	DET
ijassa-1212	179	12	alternative	alternative	ADJ
ijassa-1212	179	13	connection	connection	NOUN
ijassa-1212	179	14	to	to	ADP
ijassa-1212	179	15	the	the	DET
ijassa-1212	179	16	first	first	ADJ
ijassa-1212	179	17	vertices	vertex	NOUN
ijassa-1212	179	18	of	of	ADP
ijassa-1212	179	19	the	the	DET
ijassa-1212	179	20	other	other	ADJ
ijassa-1212	179	21	paths	path	NOUN
ijassa-1212	179	22	.	.	PUNCT
ijassa-1212	180	1	the	the	DET
ijassa-1212	180	2	only	only	ADJ
ijassa-1212	180	3	way	way	NOUN
ijassa-1212	180	4	to	to	PART
ijassa-1212	180	5	correct	correct	VERB
ijassa-1212	180	6	the	the	DET
ijassa-1212	180	7	solution	solution	NOUN
ijassa-1212	180	8	is	be	AUX
ijassa-1212	180	9	to	to	PART
ijassa-1212	180	10	change	change	VERB
ijassa-1212	180	11	the	the	DET
ijassa-1212	180	12	cover	cover	NOUN
ijassa-1212	180	13	locally	locally	ADV
ijassa-1212	180	14	so	so	SCONJ
ijassa-1212	180	15	that	that	SCONJ
ijassa-1212	180	16	two	two	NUM
ijassa-1212	180	17	paths	path	NOUN
ijassa-1212	180	18	swap	swap	VERB
ijassa-1212	180	19	the	the	DET
ijassa-1212	180	20	end	end	NOUN
ijassa-1212	180	21	sections	section	NOUN
ijassa-1212	180	22	.	.	PUNCT
ijassa-1212	181	1	then	then	ADV
ijassa-1212	181	2	the	the	DET
ijassa-1212	181	3	invalid	invalid	ADJ
ijassa-1212	181	4	path	path	NOUN
ijassa-1212	181	5	becomes	become	VERB
ijassa-1212	181	6	valid	valid	ADJ
ijassa-1212	181	7	.	.	PUNCT
ijassa-1212	182	1	and	and	CCONJ
ijassa-1212	182	2	the	the	DET
ijassa-1212	182	3	second	second	ADJ
ijassa-1212	182	4	path	path	NOUN
ijassa-1212	182	5	will	will	AUX
ijassa-1212	182	6	remain	remain	VERB
ijassa-1212	182	7	valid	valid	ADJ
ijassa-1212	182	8	if	if	SCONJ
ijassa-1212	182	9	its	its	PRON
ijassa-1212	182	10	locomotive	locomotive	NOUN
ijassa-1212	182	11	has	have	VERB
ijassa-1212	182	12	no	no	DET
ijassa-1212	182	13	constraints	constraint	NOUN
ijassa-1212	182	14	(	(	PUNCT
ijassa-1212	182	15	fig	fig	NOUN
ijassa-1212	182	16	.	.	PUNCT
ijassa-1212	183	1	4.4(c	4.4(c	NUM
ijassa-1212	183	2	)	)	PUNCT
ijassa-1212	183	3	)	)	PUNCT
ijassa-1212	183	4	.	.	PUNCT
ijassa-1212	184	1	we	we	PRON
ijassa-1212	184	2	introduce	introduce	VERB
ijassa-1212	184	3	the	the	DET
ijassa-1212	184	4	procedures	procedure	NOUN
ijassa-1212	184	5	that	that	PRON
ijassa-1212	184	6	will	will	AUX
ijassa-1212	184	7	allow	allow	VERB
ijassa-1212	184	8	to	to	PART
ijassa-1212	184	9	change	change	VERB
ijassa-1212	184	10	paths	path	NOUN
ijassa-1212	184	11	while	while	SCONJ
ijassa-1212	184	12	maintaining	maintain	VERB
ijassa-1212	184	13	minimal	minimal	ADJ
ijassa-1212	184	14	cover	cover	NOUN
ijassa-1212	184	15	.	.	PUNCT
ijassa-1212	185	1	first	first	ADV
ijassa-1212	185	2	,	,	PUNCT
ijassa-1212	185	3	let	let	VERB
ijassa-1212	185	4	us	we	PRON
ijassa-1212	185	5	introduce	introduce	VERB
ijassa-1212	185	6	the	the	DET
ijassa-1212	185	7	notions	notion	NOUN
ijassa-1212	185	8	of	of	ADP
ijassa-1212	185	9	free	free	ADJ
ijassa-1212	185	10	arcs	arc	NOUN
ijassa-1212	185	11	and	and	CCONJ
ijassa-1212	185	12	vertices	vertex	NOUN
ijassa-1212	185	13	.	.	PUNCT
ijassa-1212	186	1	definition	definition	NOUN
ijassa-1212	186	2	4.1	4.1	NUM
ijassa-1212	186	3	:	:	PUNCT
ijassa-1212	186	4	arcs	arc	NOUN
ijassa-1212	186	5	and	and	CCONJ
ijassa-1212	186	6	clone	clone	NOUN
ijassa-1212	186	7	vertices	vertex	NOUN
ijassa-1212	186	8	of	of	ADP
ijassa-1212	186	9	a	a	DET
ijassa-1212	186	10	reachability	reachability	NOUN
ijassa-1212	186	11	graph	graph	NOUN
ijassa-1212	186	12	that	that	PRON
ijassa-1212	186	13	do	do	AUX
ijassa-1212	186	14	not	not	PART
ijassa-1212	186	15	participate	participate	VERB
ijassa-1212	186	16	in	in	ADP
ijassa-1212	186	17	the	the	DET
ijassa-1212	186	18	current	current	ADJ
ijassa-1212	186	19	minimal	minimal	ADJ
ijassa-1212	186	20	path	path	NOUN
ijassa-1212	186	21	cover	cover	NOUN
ijassa-1212	186	22	are	be	AUX
ijassa-1212	186	23	called	call	VERB
ijassa-1212	186	24	free	free	ADJ
ijassa-1212	186	25	.	.	PUNCT
ijassa-1212	187	1	definition	definition	NOUN
ijassa-1212	187	2	4.2	4.2	NUM
ijassa-1212	187	3	:	:	PUNCT
ijassa-1212	187	4	a	a	DET
ijassa-1212	187	5	path	path	NOUN
ijassa-1212	187	6	consisting	consist	VERB
ijassa-1212	187	7	of	of	ADP
ijassa-1212	187	8	free	free	ADJ
ijassa-1212	187	9	vertices	vertex	NOUN
ijassa-1212	187	10	and	and	CCONJ
ijassa-1212	187	11	free	free	ADJ
ijassa-1212	187	12	arcs	arc	NOUN
ijassa-1212	187	13	is	be	AUX
ijassa-1212	187	14	called	call	VERB
ijassa-1212	187	15	free	free	ADJ
ijassa-1212	187	16	.	.	PUNCT
ijassa-1212	188	1	remark	remark	VERB
ijassa-1212	188	2	4.1	4.1	NUM
ijassa-1212	188	3	:	:	PUNCT
ijassa-1212	188	4	obviously	obviously	ADV
ijassa-1212	188	5	,	,	PUNCT
ijassa-1212	188	6	the	the	DET
ijassa-1212	188	7	vertices	vertex	NOUN
ijassa-1212	188	8	corresponding	correspond	VERB
ijassa-1212	188	9	to	to	ADP
ijassa-1212	188	10	the	the	DET
ijassa-1212	188	11	transportations	transportation	NOUN
ijassa-1212	188	12	can	can	AUX
ijassa-1212	188	13	not	not	PART
ijassa-1212	188	14	be	be	AUX
ijassa-1212	188	15	free	free	ADJ
ijassa-1212	188	16	,	,	PUNCT
ijassa-1212	188	17	they	they	PRON
ijassa-1212	188	18	always	always	ADV
ijassa-1212	188	19	belong	belong	VERB
ijassa-1212	188	20	to	to	ADP
ijassa-1212	188	21	the	the	DET
ijassa-1212	188	22	minimal	minimal	ADJ
ijassa-1212	188	23	cover	cover	NOUN
ijassa-1212	188	24	.	.	PUNCT
ijassa-1212	189	1	4.1.1	4.1.1	X
ijassa-1212	189	2	.	.	PUNCT
ijassa-1212	189	3	crossover	crossover	NOUN
ijassa-1212	189	4	.	.	PUNCT
ijassa-1212	190	1	following	follow	VERB
ijassa-1212	190	2	the	the	DET
ijassa-1212	190	3	terminology	terminology	NOUN
ijassa-1212	190	4	adopted	adopt	VERB
ijassa-1212	190	5	in	in	ADP
ijassa-1212	190	6	genetic	genetic	ADJ
ijassa-1212	190	7	algorithms	algorithm	NOUN
ijassa-1212	190	8	[	[	X
ijassa-1212	190	9	16	16	NUM
ijassa-1212	190	10	]	]	PUNCT
ijassa-1212	190	11	,	,	PUNCT
ijassa-1212	190	12	we	we	PRON
ijassa-1212	190	13	will	will	AUX
ijassa-1212	190	14	call	call	VERB
ijassa-1212	190	15	the	the	DET
ijassa-1212	190	16	exchange	exchange	NOUN
ijassa-1212	190	17	of	of	ADP
ijassa-1212	190	18	path	path	NOUN
ijassa-1212	190	19	sections	section	NOUN
ijassa-1212	190	20	a	a	DET
ijassa-1212	190	21	crossover	crossover	NOUN
ijassa-1212	190	22	.	.	PUNCT
ijassa-1212	191	1	we	we	PRON
ijassa-1212	191	2	introduce	introduce	VERB
ijassa-1212	191	3	the	the	DET
ijassa-1212	191	4	concepts	concept	NOUN
ijassa-1212	191	5	of	of	ADP
ijassa-1212	191	6	simple	simple	ADJ
ijassa-1212	191	7	and	and	CCONJ
ijassa-1212	191	8	complex	complex	ADJ
ijassa-1212	191	9	crossover	crossover	NOUN
ijassa-1212	191	10	.	.	PUNCT
ijassa-1212	192	1	copyright	copyright	NOUN
ijassa-1212	192	2	©	©	PROPN
ijassa-1212	192	3	2022	2022	NUM
ijassa-1212	192	4	assa	assa	NOUN
ijassa-1212	192	5	.	.	PUNCT
ijassa-1212	193	1	adv	adv	PROPN
ijassa-1212	193	2	syst	syst	PROPN
ijassa-1212	193	3	sci	sci	PROPN
ijassa-1212	193	4	appl	appl	PROPN
ijassa-1212	193	5	(	(	PUNCT
ijassa-1212	193	6	2022	2022	NUM
ijassa-1212	193	7	)	)	PUNCT
ijassa-1212	193	8	graph	graph	NOUN
ijassa-1212	193	9	methods	method	NOUN
ijassa-1212	193	10	for	for	ADP
ijassa-1212	193	11	improving	improve	VERB
ijassa-1212	193	12	the	the	DET
ijassa-1212	193	13	invalid	invalid	ADJ
ijassa-1212	193	14	solution	solution	NOUN
ijassa-1212	193	15	of	of	ADP
ijassa-1212	193	16	the	the	DET
ijassa-1212	193	17	locomotive	locomotive	NOUN
ijassa-1212	193	18	...	...	PUNCT
ijassa-1212	193	19	53	53	NUM
ijassa-1212	193	20	definition	definition	NOUN
ijassa-1212	193	21	4.3	4.3	NUM
ijassa-1212	193	22	:	:	PUNCT
ijassa-1212	193	23	a	a	DET
ijassa-1212	193	24	simple	simple	ADJ
ijassa-1212	193	25	crossover	crossover	NOUN
ijassa-1212	193	26	,	,	PUNCT
ijassa-1212	193	27	or	or	CCONJ
ijassa-1212	193	28	2	2	NUM
ijassa-1212	193	29	-	-	PUNCT
ijassa-1212	193	30	crossover	crossover	NOUN
ijassa-1212	193	31	,	,	PUNCT
ijassa-1212	193	32	is	be	AUX
ijassa-1212	193	33	the	the	DET
ijassa-1212	193	34	exchange	exchange	NOUN
ijassa-1212	193	35	of	of	ADP
ijassa-1212	193	36	two	two	NUM
ijassa-1212	193	37	paths	path	NOUN
ijassa-1212	193	38	by	by	ADP
ijassa-1212	193	39	homologous	homologous	ADJ
ijassa-1212	193	40	sections	section	NOUN
ijassa-1212	193	41	using	use	VERB
ijassa-1212	193	42	free	free	ADJ
ijassa-1212	193	43	arcs	arc	NOUN
ijassa-1212	193	44	.	.	PUNCT
ijassa-1212	194	1	homologous	homologous	ADJ
ijassa-1212	194	2	sections	section	NOUN
ijassa-1212	194	3	contain	contain	VERB
ijassa-1212	194	4	the	the	DET
ijassa-1212	194	5	same	same	ADJ
ijassa-1212	194	6	number	number	NOUN
ijassa-1212	194	7	of	of	ADP
ijassa-1212	194	8	vertices	vertex	NOUN
ijassa-1212	194	9	located	locate	VERB
ijassa-1212	194	10	in	in	ADP
ijassa-1212	194	11	the	the	DET
ijassa-1212	194	12	same	same	ADJ
ijassa-1212	194	13	layers	layer	NOUN
ijassa-1212	194	14	.	.	PUNCT
ijassa-1212	195	1	crossover	crossover	NOUN
ijassa-1212	195	2	can	can	AUX
ijassa-1212	195	3	only	only	ADV
ijassa-1212	195	4	be	be	AUX
ijassa-1212	195	5	implemented	implement	VERB
ijassa-1212	195	6	between	between	ADP
ijassa-1212	195	7	two	two	NUM
ijassa-1212	195	8	adjacent	adjacent	ADJ
ijassa-1212	195	9	layers	layer	NOUN
ijassa-1212	195	10	.	.	PUNCT
ijassa-1212	196	1	a	a	DET
ijassa-1212	196	2	simple	simple	ADJ
ijassa-1212	196	3	crossover	crossover	NOUN
ijassa-1212	196	4	between	between	ADP
ijassa-1212	196	5	paths	path	NOUN
ijassa-1212	196	6	is	be	AUX
ijassa-1212	196	7	feasible	feasible	ADJ
ijassa-1212	196	8	if	if	SCONJ
ijassa-1212	196	9	and	and	CCONJ
ijassa-1212	196	10	only	only	ADV
ijassa-1212	196	11	if	if	SCONJ
ijassa-1212	196	12	there	there	PRON
ijassa-1212	196	13	is	be	VERB
ijassa-1212	196	14	at	at	ADP
ijassa-1212	196	15	least	least	ADJ
ijassa-1212	196	16	a	a	DET
ijassa-1212	196	17	pair	pair	NOUN
ijassa-1212	196	18	of	of	ADP
ijassa-1212	196	19	adjacent	adjacent	ADJ
ijassa-1212	196	20	layers	layer	NOUN
ijassa-1212	196	21	in	in	ADP
ijassa-1212	196	22	which	which	PRON
ijassa-1212	196	23	the	the	DET
ijassa-1212	196	24	vertices	vertex	NOUN
ijassa-1212	196	25	of	of	ADP
ijassa-1212	196	26	two	two	NUM
ijassa-1212	196	27	paths	path	NOUN
ijassa-1212	196	28	form	form	VERB
ijassa-1212	196	29	a	a	DET
ijassa-1212	196	30	biclique	biclique	NOUN
ijassa-1212	196	31	in	in	ADP
ijassa-1212	196	32	a	a	DET
ijassa-1212	196	33	bipartite	bipartite	NOUN
ijassa-1212	196	34	graph	graph	NOUN
ijassa-1212	196	35	.	.	PUNCT
ijassa-1212	197	1	then	then	ADV
ijassa-1212	197	2	two	two	NUM
ijassa-1212	197	3	free	free	ADJ
ijassa-1212	197	4	arcs	arc	NOUN
ijassa-1212	197	5	are	be	AUX
ijassa-1212	197	6	involved	involve	VERB
ijassa-1212	197	7	,	,	PUNCT
ijassa-1212	197	8	which	which	PRON
ijassa-1212	197	9	switches	switch	VERB
ijassa-1212	197	10	the	the	DET
ijassa-1212	197	11	paths	path	NOUN
ijassa-1212	197	12	’	'	PUNCT
ijassa-1212	197	13	ends	end	VERB
ijassa-1212	197	14	.	.	PUNCT
ijassa-1212	198	1	let	let	VERB
ijassa-1212	198	2	us	we	PRON
ijassa-1212	198	3	consider	consider	VERB
ijassa-1212	198	4	the	the	DET
ijassa-1212	198	5	matching	matching	NOUN
ijassa-1212	198	6	formed	form	VERB
ijassa-1212	198	7	by	by	ADP
ijassa-1212	198	8	the	the	DET
ijassa-1212	198	9	arcs	arcs	NOUN
ijassa-1212	198	10	between	between	ADP
ijassa-1212	198	11	adjacent	adjacent	ADJ
ijassa-1212	198	12	layers	layer	NOUN
ijassa-1212	198	13	as	as	ADP
ijassa-1212	198	14	a	a	DET
ijassa-1212	198	15	permutation	permutation	NOUN
ijassa-1212	198	16	on	on	ADP
ijassa-1212	198	17	a	a	DET
ijassa-1212	198	18	set	set	NOUN
ijassa-1212	198	19	of	of	ADP
ijassa-1212	198	20	paths	path	NOUN
ijassa-1212	198	21	.	.	PUNCT
ijassa-1212	199	1	the	the	DET
ijassa-1212	199	2	crossover	crossover	NOUN
ijassa-1212	199	3	of	of	ADP
ijassa-1212	199	4	the	the	DET
ijassa-1212	199	5	paths	path	NOUN
ijassa-1212	199	6	corresponds	correspond	VERB
ijassa-1212	199	7	to	to	ADP
ijassa-1212	199	8	a	a	DET
ijassa-1212	199	9	transposition	transposition	NOUN
ijassa-1212	199	10	,	,	PUNCT
ijassa-1212	199	11	or	or	CCONJ
ijassa-1212	199	12	a	a	DET
ijassa-1212	199	13	permutation	permutation	NOUN
ijassa-1212	199	14	in	in	ADP
ijassa-1212	199	15	which	which	PRON
ijassa-1212	199	16	a	a	DET
ijassa-1212	199	17	pair	pair	NOUN
ijassa-1212	199	18	of	of	ADP
ijassa-1212	199	19	elements	element	NOUN
ijassa-1212	199	20	swaps	swap	NOUN
ijassa-1212	199	21	(	(	PUNCT
ijassa-1212	199	22	fig	fig	NOUN
ijassa-1212	199	23	.	.	PUNCT
ijassa-1212	200	1	4.5	4.5	NUM
ijassa-1212	200	2	(	(	PUNCT
ijassa-1212	200	3	a),(b	a),(b	PROPN
ijassa-1212	200	4	)	)	PUNCT
ijassa-1212	200	5	)	)	PUNCT
ijassa-1212	200	6	.	.	PUNCT
ijassa-1212	201	1	(	(	PUNCT
ijassa-1212	201	2	b	b	X
ijassa-1212	201	3	)	)	PUNCT
ijassa-1212	201	4	(	(	PUNCT
ijassa-1212	201	5	c)(a	c)(a	NOUN
ijassa-1212	201	6	)	)	PUNCT
ijassa-1212	201	7	fig	fig	NOUN
ijassa-1212	201	8	.	.	PUNCT
ijassa-1212	202	1	4.5	4.5	NUM
ijassa-1212	202	2	.	.	PUNCT
ijassa-1212	203	1	simple	simple	ADJ
ijassa-1212	203	2	crossover	crossover	NOUN
ijassa-1212	203	3	:	:	PUNCT
ijassa-1212	203	4	(	(	PUNCT
ijassa-1212	203	5	a	a	X
ijassa-1212	203	6	)	)	PUNCT
ijassa-1212	203	7	the	the	DET
ijassa-1212	203	8	minimal	minimal	ADJ
ijassa-1212	203	9	cover	cover	NOUN
ijassa-1212	203	10	;	;	PUNCT
ijassa-1212	203	11	(	(	PUNCT
ijassa-1212	203	12	b	b	X
ijassa-1212	203	13	)	)	PUNCT
ijassa-1212	203	14	the	the	DET
ijassa-1212	203	15	minimal	minimal	ADJ
ijassa-1212	203	16	cover	cover	NOUN
ijassa-1212	203	17	and	and	CCONJ
ijassa-1212	203	18	the	the	DET
ijassa-1212	203	19	free	free	ADJ
ijassa-1212	203	20	arcs	arc	NOUN
ijassa-1212	203	21	,	,	PUNCT
ijassa-1212	203	22	indicated	indicate	VERB
ijassa-1212	203	23	by	by	ADP
ijassa-1212	203	24	grey	grey	ADJ
ijassa-1212	203	25	lines	line	NOUN
ijassa-1212	203	26	;	;	PUNCT
ijassa-1212	203	27	the	the	DET
ijassa-1212	203	28	selected	select	VERB
ijassa-1212	203	29	biclique	biclique	NOUN
ijassa-1212	203	30	is	be	AUX
ijassa-1212	203	31	highlighted	highlight	VERB
ijassa-1212	203	32	in	in	ADP
ijassa-1212	203	33	red	red	ADJ
ijassa-1212	203	34	;	;	PUNCT
ijassa-1212	203	35	(	(	PUNCT
ijassa-1212	203	36	c	c	X
ijassa-1212	203	37	)	)	PUNCT
ijassa-1212	203	38	the	the	DET
ijassa-1212	203	39	simple	simple	ADJ
ijassa-1212	203	40	crossover	crossover	NOUN
ijassa-1212	203	41	and	and	CCONJ
ijassa-1212	203	42	the	the	DET
ijassa-1212	203	43	new	new	ADJ
ijassa-1212	203	44	minimal	minimal	ADJ
ijassa-1212	203	45	cover	cover	NOUN
ijassa-1212	203	46	the	the	DET
ijassa-1212	203	47	cycle	cycle	NOUN
ijassa-1212	203	48	of	of	ADP
ijassa-1212	203	49	length	length	NOUN
ijassa-1212	203	50	k	k	PROPN
ijassa-1212	203	51	is	be	AUX
ijassa-1212	203	52	a	a	DET
ijassa-1212	203	53	permutation	permutation	NOUN
ijassa-1212	203	54	of	of	ADP
ijassa-1212	203	55	a	a	DET
ijassa-1212	203	56	subset	subset	NOUN
ijassa-1212	203	57	of	of	ADP
ijassa-1212	203	58	a	a	DET
ijassa-1212	203	59	set	set	NOUN
ijassa-1212	203	60	x	x	NOUN
ijassa-1212	203	61	:	:	PUNCT
ijassa-1212	203	62	{	{	PUNCT
ijassa-1212	203	63	x1	x1	PROPN
ijassa-1212	203	64	,	,	PUNCT
ijassa-1212	203	65	x2	x2	PROPN
ijassa-1212	203	66	,	,	PUNCT
ijassa-1212	203	67	.	.	PUNCT
ijassa-1212	203	68	.	.	PUNCT
ijassa-1212	203	69	.	.	PUNCT
ijassa-1212	204	1	,	,	PUNCT
ijassa-1212	204	2	xk	xk	ADJ
ijassa-1212	204	3	}	}	PUNCT
ijassa-1212	204	4	⊆	⊆	NUM
ijassa-1212	204	5	x	x	SYM
ijassa-1212	204	6	mapping	map	VERB
ijassa-1212	204	7	xk	xk	PROPN
ijassa-1212	204	8	into	into	ADP
ijassa-1212	204	9	x1	x1	PROPN
ijassa-1212	204	10	,	,	PUNCT
ijassa-1212	204	11	xi	xi	PROPN
ijassa-1212	204	12	into	into	ADP
ijassa-1212	204	13	xi+1	xi+1	PROPN
ijassa-1212	204	14	,	,	PUNCT
ijassa-1212	204	15	(	(	PUNCT
ijassa-1212	204	16	i	i	PRON
ijassa-1212	204	17	<	<	X
ijassa-1212	204	18	k	k	NOUN
ijassa-1212	204	19	)	)	PUNCT
ijassa-1212	204	20	.	.	PUNCT
ijassa-1212	205	1	the	the	DET
ijassa-1212	205	2	transposition	transposition	NOUN
ijassa-1212	205	3	is	be	AUX
ijassa-1212	205	4	a	a	DET
ijassa-1212	205	5	cycle	cycle	NOUN
ijassa-1212	205	6	of	of	ADP
ijassa-1212	205	7	length	length	NOUN
ijassa-1212	205	8	2	2	NUM
ijassa-1212	205	9	.	.	PUNCT
ijassa-1212	205	10	definition	definition	NOUN
ijassa-1212	205	11	4.4	4.4	NUM
ijassa-1212	205	12	:	:	PUNCT
ijassa-1212	205	13	we	we	PRON
ijassa-1212	205	14	define	define	VERB
ijassa-1212	205	15	a	a	DET
ijassa-1212	205	16	cyclic	cyclic	ADJ
ijassa-1212	205	17	exchange	exchange	NOUN
ijassa-1212	205	18	involving	involve	VERB
ijassa-1212	205	19	k	k	PROPN
ijassa-1212	205	20	≥	≥	NUM
ijassa-1212	205	21	3	3	NUM
ijassa-1212	205	22	paths	path	NOUN
ijassa-1212	205	23	as	as	ADP
ijassa-1212	205	24	a	a	DET
ijassa-1212	205	25	complex	complex	ADJ
ijassa-1212	205	26	crossover	crossover	NOUN
ijassa-1212	205	27	.	.	PUNCT
ijassa-1212	206	1	a	a	DET
ijassa-1212	206	2	complex	complex	ADJ
ijassa-1212	206	3	crossover	crossover	NOUN
ijassa-1212	206	4	of	of	ADP
ijassa-1212	206	5	the	the	DET
ijassa-1212	206	6	order	order	NOUN
ijassa-1212	206	7	k	k	NOUN
ijassa-1212	206	8	,	,	PUNCT
ijassa-1212	206	9	or	or	CCONJ
ijassa-1212	206	10	k	k	NOUN
ijassa-1212	206	11	-	-	PUNCT
ijassa-1212	206	12	crossover	crossover	NOUN
ijassa-1212	206	13	,	,	PUNCT
ijassa-1212	206	14	is	be	AUX
ijassa-1212	206	15	a	a	DET
ijassa-1212	206	16	cyclic	cyclic	ADJ
ijassa-1212	206	17	exchange	exchange	NOUN
ijassa-1212	206	18	of	of	ADP
ijassa-1212	206	19	k	k	PROPN
ijassa-1212	206	20	paths	path	NOUN
ijassa-1212	206	21	by	by	ADP
ijassa-1212	206	22	homologous	homologous	ADJ
ijassa-1212	206	23	segments	segment	NOUN
ijassa-1212	206	24	.	.	PUNCT
ijassa-1212	207	1	an	an	DET
ijassa-1212	207	2	example	example	NOUN
ijassa-1212	207	3	of	of	ADP
ijassa-1212	207	4	a	a	DET
ijassa-1212	207	5	3	3	NUM
ijassa-1212	207	6	-	-	PUNCT
ijassa-1212	207	7	crossover	crossover	NOUN
ijassa-1212	207	8	is	be	AUX
ijassa-1212	207	9	shown	show	VERB
ijassa-1212	207	10	in	in	ADP
ijassa-1212	207	11	fig	fig	NOUN
ijassa-1212	207	12	.	.	PUNCT
ijassa-1212	208	1	4.6	4.6	NUM
ijassa-1212	208	2	.	.	PUNCT
ijassa-1212	209	1	any	any	DET
ijassa-1212	209	2	permutation	permutation	NOUN
ijassa-1212	209	3	can	can	AUX
ijassa-1212	209	4	be	be	AUX
ijassa-1212	209	5	uniquely	uniquely	ADV
ijassa-1212	209	6	decomposed	decompose	VERB
ijassa-1212	209	7	into	into	ADP
ijassa-1212	209	8	a	a	DET
ijassa-1212	209	9	composition	composition	NOUN
ijassa-1212	209	10	of	of	ADP
ijassa-1212	209	11	disjoint	disjoint	ADJ
ijassa-1212	209	12	cycles	cycle	NOUN
ijassa-1212	209	13	of	of	ADP
ijassa-1212	209	14	length	length	NOUN
ijassa-1212	209	15	k	k	PROPN
ijassa-1212	209	16	≥	≥	NUM
ijassa-1212	209	17	2	2	NUM
ijassa-1212	209	18	,	,	PUNCT
ijassa-1212	209	19	and	and	CCONJ
ijassa-1212	209	20	the	the	DET
ijassa-1212	209	21	expression	expression	NOUN
ijassa-1212	209	22	of	of	ADP
ijassa-1212	209	23	the	the	DET
ijassa-1212	209	24	permutation	permutation	NOUN
ijassa-1212	209	25	is	be	AUX
ijassa-1212	209	26	unique	unique	ADJ
ijassa-1212	209	27	up	up	ADP
ijassa-1212	209	28	to	to	ADP
ijassa-1212	209	29	the	the	DET
ijassa-1212	209	30	order	order	NOUN
ijassa-1212	209	31	of	of	ADP
ijassa-1212	209	32	the	the	DET
ijassa-1212	209	33	cycles	cycle	NOUN
ijassa-1212	209	34	.	.	PUNCT
ijassa-1212	210	1	thus	thus	ADV
ijassa-1212	210	2	,	,	PUNCT
ijassa-1212	210	3	the	the	DET
ijassa-1212	210	4	two	two	NUM
ijassa-1212	210	5	introduced	introduce	VERB
ijassa-1212	210	6	operations	operation	NOUN
ijassa-1212	210	7	make	make	VERB
ijassa-1212	210	8	it	it	PRON
ijassa-1212	210	9	possible	possible	ADJ
ijassa-1212	210	10	to	to	PART
ijassa-1212	210	11	construct	construct	VERB
ijassa-1212	210	12	any	any	DET
ijassa-1212	210	13	arbitrarily	arbitrarily	ADV
ijassa-1212	210	14	given	give	VERB
ijassa-1212	210	15	permutation	permutation	NOUN
ijassa-1212	210	16	.	.	PUNCT
ijassa-1212	211	1	theorem	theorem	VERB
ijassa-1212	211	2	4.1	4.1	NUM
ijassa-1212	211	3	:	:	PUNCT
ijassa-1212	211	4	the	the	DET
ijassa-1212	211	5	k	k	NOUN
ijassa-1212	211	6	-	-	PUNCT
ijassa-1212	211	7	crossover	crossover	NOUN
ijassa-1212	211	8	(	(	PUNCT
ijassa-1212	211	9	k	k	X
ijassa-1212	211	10	≥	≥	NUM
ijassa-1212	211	11	2	2	NUM
ijassa-1212	211	12	)	)	PUNCT
ijassa-1212	211	13	operation	operation	NOUN
ijassa-1212	211	14	converts	convert	VERB
ijassa-1212	211	15	a	a	DET
ijassa-1212	211	16	valid	valid	ADJ
ijassa-1212	211	17	path	path	NOUN
ijassa-1212	211	18	with	with	ADP
ijassa-1212	211	19	a	a	DET
ijassa-1212	211	20	locomotive	locomotive	NOUN
ijassa-1212	211	21	without	without	ADP
ijassa-1212	211	22	constraints	constraint	NOUN
ijassa-1212	211	23	into	into	ADP
ijassa-1212	211	24	a	a	DET
ijassa-1212	211	25	valid	valid	ADJ
ijassa-1212	211	26	path	path	NOUN
ijassa-1212	211	27	.	.	PUNCT
ijassa-1212	212	1	copyright	copyright	NOUN
ijassa-1212	212	2	©	©	ADP
ijassa-1212	212	3	2022	2022	NUM
ijassa-1212	212	4	assa	assa	NOUN
ijassa-1212	212	5	.	.	PUNCT
ijassa-1212	213	1	adv	adv	PROPN
ijassa-1212	213	2	syst	syst	PROPN
ijassa-1212	213	3	sci	sci	PROPN
ijassa-1212	213	4	appl	appl	PROPN
ijassa-1212	213	5	(	(	PUNCT
ijassa-1212	213	6	2022	2022	NUM
ijassa-1212	213	7	)	)	PUNCT
ijassa-1212	213	8	54	54	NUM
ijassa-1212	213	9	l.	l.	PROPN
ijassa-1212	213	10	zhilyakova	zhilyakova	PROPN
ijassa-1212	213	11	,	,	PUNCT
ijassa-1212	213	12	v.	v.	ADP
ijassa-1212	213	13	koreshkov	koreshkov	PROPN
ijassa-1212	213	14	(	(	PUNCT
ijassa-1212	213	15	b	b	NOUN
ijassa-1212	213	16	)	)	PUNCT
ijassa-1212	213	17	(	(	PUNCT
ijassa-1212	213	18	c)(a	c)(a	NOUN
ijassa-1212	213	19	)	)	PUNCT
ijassa-1212	213	20	fig	fig	NOUN
ijassa-1212	213	21	.	.	PUNCT
ijassa-1212	214	1	4.6	4.6	NUM
ijassa-1212	214	2	.	.	PUNCT
ijassa-1212	215	1	complex	complex	ADJ
ijassa-1212	215	2	crossover	crossover	NOUN
ijassa-1212	215	3	:	:	PUNCT
ijassa-1212	215	4	(	(	PUNCT
ijassa-1212	215	5	a	a	X
ijassa-1212	215	6	)	)	PUNCT
ijassa-1212	215	7	the	the	DET
ijassa-1212	215	8	minimal	minimal	ADJ
ijassa-1212	215	9	cover	cover	NOUN
ijassa-1212	215	10	;	;	PUNCT
ijassa-1212	215	11	(	(	PUNCT
ijassa-1212	215	12	b	b	X
ijassa-1212	215	13	)	)	PUNCT
ijassa-1212	215	14	the	the	DET
ijassa-1212	215	15	minimal	minimal	ADJ
ijassa-1212	215	16	cover	cover	NOUN
ijassa-1212	215	17	and	and	CCONJ
ijassa-1212	215	18	the	the	DET
ijassa-1212	215	19	free	free	ADJ
ijassa-1212	215	20	arcs	arc	NOUN
ijassa-1212	215	21	,	,	PUNCT
ijassa-1212	215	22	indicated	indicate	VERB
ijassa-1212	215	23	by	by	ADP
ijassa-1212	215	24	grey	grey	ADJ
ijassa-1212	215	25	lines	line	NOUN
ijassa-1212	215	26	;	;	PUNCT
ijassa-1212	215	27	the	the	DET
ijassa-1212	215	28	selected	select	VERB
ijassa-1212	215	29	arcs	arc	NOUN
ijassa-1212	215	30	are	be	AUX
ijassa-1212	215	31	highlighted	highlight	VERB
ijassa-1212	215	32	in	in	ADP
ijassa-1212	215	33	red	red	ADJ
ijassa-1212	215	34	;	;	PUNCT
ijassa-1212	215	35	(	(	PUNCT
ijassa-1212	215	36	c	c	X
ijassa-1212	215	37	)	)	PUNCT
ijassa-1212	215	38	the	the	DET
ijassa-1212	215	39	complex	complex	ADJ
ijassa-1212	215	40	crossover	crossover	NOUN
ijassa-1212	215	41	and	and	CCONJ
ijassa-1212	215	42	the	the	DET
ijassa-1212	215	43	new	new	ADJ
ijassa-1212	215	44	minimal	minimal	ADJ
ijassa-1212	215	45	cover	cover	NOUN
ijassa-1212	215	46	proof	proof	NOUN
ijassa-1212	215	47	if	if	SCONJ
ijassa-1212	215	48	the	the	DET
ijassa-1212	215	49	crossover	crossover	NOUN
ijassa-1212	215	50	is	be	AUX
ijassa-1212	215	51	possible	possible	ADJ
ijassa-1212	215	52	,	,	PUNCT
ijassa-1212	215	53	this	this	PRON
ijassa-1212	215	54	means	mean	VERB
ijassa-1212	215	55	that	that	SCONJ
ijassa-1212	215	56	the	the	DET
ijassa-1212	215	57	initial	initial	ADJ
ijassa-1212	215	58	graph	graph	NOUN
ijassa-1212	215	59	contains	contain	VERB
ijassa-1212	215	60	all	all	DET
ijassa-1212	215	61	the	the	DET
ijassa-1212	215	62	arcs	arc	NOUN
ijassa-1212	215	63	necessary	necessary	ADJ
ijassa-1212	215	64	to	to	PART
ijassa-1212	215	65	form	form	VERB
ijassa-1212	215	66	new	new	ADJ
ijassa-1212	215	67	paths	path	NOUN
ijassa-1212	215	68	.	.	PUNCT
ijassa-1212	216	1	the	the	DET
ijassa-1212	216	2	arc	arc	NOUN
ijassa-1212	216	3	in	in	ADP
ijassa-1212	216	4	the	the	DET
ijassa-1212	216	5	graph	graph	NOUN
ijassa-1212	216	6	denotes	denote	VERB
ijassa-1212	216	7	the	the	DET
ijassa-1212	216	8	reachability	reachability	NOUN
ijassa-1212	216	9	of	of	ADP
ijassa-1212	216	10	the	the	DET
ijassa-1212	216	11	next	next	ADJ
ijassa-1212	216	12	transportation	transportation	NOUN
ijassa-1212	216	13	from	from	ADP
ijassa-1212	216	14	the	the	DET
ijassa-1212	216	15	end	end	NOUN
ijassa-1212	216	16	of	of	ADP
ijassa-1212	216	17	the	the	DET
ijassa-1212	216	18	previous	previous	ADJ
ijassa-1212	216	19	one	one	NUM
ijassa-1212	216	20	.	.	PUNCT
ijassa-1212	217	1	thus	thus	ADV
ijassa-1212	217	2	,	,	PUNCT
ijassa-1212	217	3	the	the	DET
ijassa-1212	217	4	new	new	ADJ
ijassa-1212	217	5	path	path	NOUN
ijassa-1212	217	6	section	section	NOUN
ijassa-1212	217	7	is	be	AUX
ijassa-1212	217	8	reachable	reachable	ADJ
ijassa-1212	217	9	for	for	ADP
ijassa-1212	217	10	the	the	DET
ijassa-1212	217	11	locomotive	locomotive	NOUN
ijassa-1212	217	12	as	as	ADV
ijassa-1212	217	13	well	well	ADV
ijassa-1212	217	14	as	as	ADP
ijassa-1212	217	15	the	the	DET
ijassa-1212	217	16	previous	previous	ADJ
ijassa-1212	217	17	path	path	NOUN
ijassa-1212	217	18	section	section	NOUN
ijassa-1212	217	19	.	.	PUNCT
ijassa-1212	218	1	and	and	CCONJ
ijassa-1212	218	2	since	since	SCONJ
ijassa-1212	218	3	the	the	DET
ijassa-1212	218	4	locomotive	locomotive	NOUN
ijassa-1212	218	5	has	have	VERB
ijassa-1212	218	6	no	no	DET
ijassa-1212	218	7	time	time	NOUN
ijassa-1212	218	8	constraints	constraint	NOUN
ijassa-1212	218	9	,	,	PUNCT
ijassa-1212	218	10	the	the	DET
ijassa-1212	218	11	new	new	ADJ
ijassa-1212	218	12	path	path	NOUN
ijassa-1212	218	13	will	will	AUX
ijassa-1212	218	14	be	be	AUX
ijassa-1212	218	15	entirely	entirely	ADV
ijassa-1212	218	16	valid	valid	ADJ
ijassa-1212	218	17	.	.	PUNCT
ijassa-1212	219	1	4.1.2	4.1.2	X
ijassa-1212	219	2	.	.	PUNCT
ijassa-1212	219	3	changeover	changeover	NOUN
ijassa-1212	219	4	.	.	PUNCT
ijassa-1212	220	1	in	in	ADP
ijassa-1212	220	2	a	a	DET
ijassa-1212	220	3	crossover	crossover	NOUN
ijassa-1212	220	4	,	,	PUNCT
ijassa-1212	220	5	two	two	NUM
ijassa-1212	220	6	or	or	CCONJ
ijassa-1212	220	7	more	more	ADJ
ijassa-1212	220	8	paths	path	NOUN
ijassa-1212	220	9	exchange	exchange	VERB
ijassa-1212	220	10	their	their	PRON
ijassa-1212	220	11	parts	part	NOUN
ijassa-1212	220	12	,	,	PUNCT
ijassa-1212	220	13	while	while	SCONJ
ijassa-1212	220	14	the	the	DET
ijassa-1212	220	15	number	number	NOUN
ijassa-1212	220	16	of	of	ADP
ijassa-1212	220	17	paths	path	NOUN
ijassa-1212	220	18	in	in	ADP
ijassa-1212	220	19	the	the	DET
ijassa-1212	220	20	cover	cover	NOUN
ijassa-1212	220	21	always	always	ADV
ijassa-1212	220	22	remains	remain	VERB
ijassa-1212	220	23	unchanged	unchanged	ADJ
ijassa-1212	220	24	.	.	PUNCT
ijassa-1212	221	1	there	there	PRON
ijassa-1212	221	2	are	be	VERB
ijassa-1212	221	3	other	other	ADJ
ijassa-1212	221	4	situations	situation	NOUN
ijassa-1212	221	5	where	where	SCONJ
ijassa-1212	221	6	the	the	DET
ijassa-1212	221	7	end	end	NOUN
ijassa-1212	221	8	of	of	ADP
ijassa-1212	221	9	an	an	DET
ijassa-1212	221	10	invalid	invalid	ADJ
ijassa-1212	221	11	path	path	NOUN
ijassa-1212	221	12	needs	need	VERB
ijassa-1212	221	13	to	to	PART
ijassa-1212	221	14	be	be	AUX
ijassa-1212	221	15	switched	switch	VERB
ijassa-1212	221	16	from	from	ADP
ijassa-1212	221	17	one	one	NUM
ijassa-1212	221	18	vertex	vertex	NOUN
ijassa-1212	221	19	to	to	ADP
ijassa-1212	221	20	another	another	PRON
ijassa-1212	221	21	.	.	PUNCT
ijassa-1212	222	1	usually	usually	ADV
ijassa-1212	222	2	,	,	PUNCT
ijassa-1212	222	3	the	the	DET
ijassa-1212	222	4	new	new	ADJ
ijassa-1212	222	5	valid	valid	ADJ
ijassa-1212	222	6	end	end	NOUN
ijassa-1212	222	7	is	be	AUX
ijassa-1212	222	8	an	an	DET
ijassa-1212	222	9	isolated	isolated	ADJ
ijassa-1212	222	10	vertex	vertex	NOUN
ijassa-1212	222	11	at	at	ADP
ijassa-1212	222	12	the	the	DET
ijassa-1212	222	13	bottom	bottom	ADJ
ijassa-1212	222	14	level	level	NOUN
ijassa-1212	222	15	(	(	PUNCT
ijassa-1212	222	16	clone	clone	NOUN
ijassa-1212	222	17	or	or	CCONJ
ijassa-1212	222	18	original	original	ADJ
ijassa-1212	222	19	)	)	PUNCT
ijassa-1212	222	20	or	or	CCONJ
ijassa-1212	222	21	a	a	DET
ijassa-1212	222	22	path	path	NOUN
ijassa-1212	222	23	consisting	consist	VERB
ijassa-1212	222	24	of	of	ADP
ijassa-1212	222	25	clone	clone	NOUN
ijassa-1212	222	26	vertices	vertex	NOUN
ijassa-1212	222	27	(	(	PUNCT
ijassa-1212	222	28	like	like	ADP
ijassa-1212	222	29	the	the	DET
ijassa-1212	222	30	red	red	ADJ
ijassa-1212	222	31	paths	path	NOUN
ijassa-1212	222	32	in	in	ADP
ijassa-1212	222	33	fig	fig	NOUN
ijassa-1212	222	34	.	.	PUNCT
ijassa-1212	223	1	2.3(c),(d	2.3(c),(d	NUM
ijassa-1212	223	2	)	)	PUNCT
ijassa-1212	223	3	)	)	PUNCT
ijassa-1212	223	4	.	.	PUNCT
ijassa-1212	224	1	definition	definition	NOUN
ijassa-1212	224	2	4.5	4.5	NUM
ijassa-1212	224	3	:	:	PUNCT
ijassa-1212	224	4	changeover	changeover	NOUN
ijassa-1212	224	5	of	of	ADP
ijassa-1212	224	6	a	a	DET
ijassa-1212	224	7	path	path	NOUN
ijassa-1212	224	8	pathi	pathi	PROPN
ijassa-1212	224	9	is	be	AUX
ijassa-1212	224	10	switching	switch	VERB
ijassa-1212	224	11	the	the	DET
ijassa-1212	224	12	end	end	NOUN
ijassa-1212	224	13	of	of	ADP
ijassa-1212	224	14	a	a	DET
ijassa-1212	224	15	path	path	NOUN
ijassa-1212	224	16	to	to	ADP
ijassa-1212	224	17	a	a	DET
ijassa-1212	224	18	free	free	ADJ
ijassa-1212	224	19	vertex	vertex	NOUN
ijassa-1212	224	20	or	or	CCONJ
ijassa-1212	224	21	a	a	DET
ijassa-1212	224	22	free	free	ADJ
ijassa-1212	224	23	path	path	NOUN
ijassa-1212	224	24	using	use	VERB
ijassa-1212	224	25	a	a	DET
ijassa-1212	224	26	free	free	ADJ
ijassa-1212	224	27	arc	arc	NOUN
ijassa-1212	224	28	(	(	PUNCT
ijassa-1212	224	29	definitions	definition	NOUN
ijassa-1212	224	30	4.1	4.1	NUM
ijassa-1212	224	31	,	,	PUNCT
ijassa-1212	224	32	4.2	4.2	NUM
ijassa-1212	224	33	)	)	PUNCT
ijassa-1212	224	34	.	.	PUNCT
ijassa-1212	225	1	in	in	ADP
ijassa-1212	225	2	some	some	DET
ijassa-1212	225	3	cases	case	NOUN
ijassa-1212	225	4	a	a	DET
ijassa-1212	225	5	switch	switch	NOUN
ijassa-1212	225	6	can	can	AUX
ijassa-1212	225	7	be	be	AUX
ijassa-1212	225	8	made	make	VERB
ijassa-1212	225	9	to	to	ADP
ijassa-1212	225	10	the	the	DET
ijassa-1212	225	11	original	original	ADJ
ijassa-1212	225	12	isolated	isolate	VERB
ijassa-1212	225	13	vertex	vertex	NOUN
ijassa-1212	225	14	if	if	SCONJ
ijassa-1212	225	15	it	it	PRON
ijassa-1212	225	16	is	be	AUX
ijassa-1212	225	17	a	a	DET
ijassa-1212	225	18	path	path	NOUN
ijassa-1212	225	19	.	.	PUNCT
ijassa-1212	226	1	unlike	unlike	ADP
ijassa-1212	226	2	crossover	crossover	NOUN
ijassa-1212	226	3	,	,	PUNCT
ijassa-1212	226	4	which	which	PRON
ijassa-1212	226	5	is	be	AUX
ijassa-1212	226	6	a	a	DET
ijassa-1212	226	7	binary	binary	NOUN
ijassa-1212	226	8	or	or	CCONJ
ijassa-1212	226	9	,	,	PUNCT
ijassa-1212	226	10	in	in	ADP
ijassa-1212	226	11	general	general	ADJ
ijassa-1212	226	12	,	,	PUNCT
ijassa-1212	226	13	n	n	CCONJ
ijassa-1212	226	14	-	-	PUNCT
ijassa-1212	226	15	ary	ary	PROPN
ijassa-1212	226	16	operation	operation	NOUN
ijassa-1212	226	17	,	,	PUNCT
ijassa-1212	226	18	the	the	DET
ijassa-1212	226	19	changeover	changeover	NOUN
ijassa-1212	226	20	operation	operation	NOUN
ijassa-1212	226	21	is	be	AUX
ijassa-1212	226	22	unary	unary	ADJ
ijassa-1212	226	23	.	.	PUNCT
ijassa-1212	227	1	fig	fig	NOUN
ijassa-1212	227	2	.	.	PUNCT
ijassa-1212	228	1	4.7	4.7	NUM
ijassa-1212	228	2	demonstrates	demonstrate	VERB
ijassa-1212	228	3	an	an	DET
ijassa-1212	228	4	example	example	NOUN
ijassa-1212	228	5	of	of	ADP
ijassa-1212	228	6	a	a	DET
ijassa-1212	228	7	changeover	changeover	NOUN
ijassa-1212	228	8	.	.	PUNCT
ijassa-1212	229	1	in	in	ADP
ijassa-1212	229	2	the	the	DET
ijassa-1212	229	3	reachability	reachability	NOUN
ijassa-1212	229	4	graph	graph	NOUN
ijassa-1212	229	5	in	in	ADP
ijassa-1212	229	6	fig	fig	NOUN
ijassa-1212	229	7	.	.	PUNCT
ijassa-1212	230	1	4.7(a	4.7(a	NUM
ijassa-1212	230	2	)	)	PUNCT
ijassa-1212	230	3	,	,	PUNCT
ijassa-1212	230	4	the	the	DET
ijassa-1212	230	5	colors	color	NOUN
ijassa-1212	230	6	of	of	ADP
ijassa-1212	230	7	vertices	vertex	NOUN
ijassa-1212	230	8	indicate	indicate	VERB
ijassa-1212	230	9	the	the	DET
ijassa-1212	230	10	availability	availability	NOUN
ijassa-1212	230	11	of	of	ADP
ijassa-1212	230	12	locomotives	locomotive	NOUN
ijassa-1212	230	13	.	.	PUNCT
ijassa-1212	231	1	the	the	DET
ijassa-1212	231	2	blue	blue	ADJ
ijassa-1212	231	3	locomotive	locomotive	NOUN
ijassa-1212	231	4	has	have	VERB
ijassa-1212	231	5	a	a	DET
ijassa-1212	231	6	time	time	NOUN
ijassa-1212	231	7	constraint	constraint	NOUN
ijassa-1212	231	8	and	and	CCONJ
ijassa-1212	231	9	can	can	AUX
ijassa-1212	231	10	not	not	PART
ijassa-1212	231	11	be	be	AUX
ijassa-1212	231	12	assigned	assign	VERB
ijassa-1212	231	13	to	to	ADP
ijassa-1212	231	14	the	the	DET
ijassa-1212	231	15	transportation	transportation	NOUN
ijassa-1212	231	16	of	of	ADP
ijassa-1212	231	17	the	the	DET
ijassa-1212	231	18	bottom	bottom	ADJ
ijassa-1212	231	19	level	level	NOUN
ijassa-1212	231	20	.	.	PUNCT
ijassa-1212	232	1	in	in	ADP
ijassa-1212	232	2	this	this	DET
ijassa-1212	232	3	case	case	NOUN
ijassa-1212	232	4	,	,	PUNCT
ijassa-1212	232	5	the	the	DET
ijassa-1212	232	6	vertices	vertex	NOUN
ijassa-1212	232	7	of	of	ADP
ijassa-1212	232	8	the	the	DET
ijassa-1212	232	9	previous	previous	ADJ
ijassa-1212	232	10	level	level	NOUN
ijassa-1212	232	11	with	with	ADP
ijassa-1212	232	12	blue	blue	ADJ
ijassa-1212	232	13	parts	part	NOUN
ijassa-1212	232	14	are	be	AUX
ijassa-1212	232	15	cloned	clone	VERB
ijassa-1212	232	16	(	(	PUNCT
ijassa-1212	232	17	fig	fig	NOUN
ijassa-1212	232	18	.	.	PUNCT
ijassa-1212	233	1	4.7(b	4.7(b	NUM
ijassa-1212	233	2	)	)	PUNCT
ijassa-1212	233	3	)	)	PUNCT
ijassa-1212	233	4	.	.	PUNCT
ijassa-1212	234	1	in	in	ADP
ijassa-1212	234	2	fig	fig	NOUN
ijassa-1212	234	3	.	.	PUNCT
ijassa-1212	235	1	4.7(c	4.7(c	NUM
ijassa-1212	235	2	)	)	PUNCT
ijassa-1212	235	3	,	,	PUNCT
ijassa-1212	235	4	the	the	DET
ijassa-1212	235	5	invalid	invalid	ADJ
ijassa-1212	235	6	cover	cover	NOUN
ijassa-1212	235	7	is	be	AUX
ijassa-1212	235	8	presented	present	VERB
ijassa-1212	235	9	;	;	PUNCT
ijassa-1212	235	10	fig	fig	NOUN
ijassa-1212	235	11	.	.	PUNCT
ijassa-1212	236	1	4.7(d	4.7(d	NUM
ijassa-1212	236	2	)	)	PUNCT
ijassa-1212	236	3	demonstrates	demonstrate	VERB
ijassa-1212	236	4	the	the	DET
ijassa-1212	236	5	changeover	changeover	NOUN
ijassa-1212	236	6	operation	operation	NOUN
ijassa-1212	236	7	.	.	PUNCT
ijassa-1212	237	1	it	it	PRON
ijassa-1212	237	2	often	often	ADV
ijassa-1212	237	3	happens	happen	VERB
ijassa-1212	237	4	that	that	SCONJ
ijassa-1212	237	5	a	a	DET
ijassa-1212	237	6	changeover	changeover	NOUN
ijassa-1212	237	7	makes	make	VERB
ijassa-1212	237	8	free	free	ADJ
ijassa-1212	237	9	a	a	DET
ijassa-1212	237	10	vertex	vertex	NOUN
ijassa-1212	237	11	that	that	PRON
ijassa-1212	237	12	can	can	AUX
ijassa-1212	237	13	become	become	VERB
ijassa-1212	237	14	a	a	DET
ijassa-1212	237	15	part	part	NOUN
ijassa-1212	237	16	of	of	ADP
ijassa-1212	237	17	another	another	DET
ijassa-1212	237	18	path	path	NOUN
ijassa-1212	237	19	,	,	PUNCT
ijassa-1212	237	20	i.e.	i.e.	X
ijassa-1212	237	21	,	,	PUNCT
ijassa-1212	237	22	the	the	DET
ijassa-1212	237	23	corresponding	corresponding	ADJ
ijassa-1212	237	24	transportation	transportation	NOUN
ijassa-1212	237	25	can	can	AUX
ijassa-1212	237	26	be	be	AUX
ijassa-1212	237	27	carried	carry	VERB
ijassa-1212	237	28	out	out	ADP
ijassa-1212	237	29	by	by	ADP
ijassa-1212	237	30	another	another	DET
ijassa-1212	237	31	locomotive	locomotive	NOUN
ijassa-1212	237	32	.	.	PUNCT
ijassa-1212	238	1	in	in	ADP
ijassa-1212	238	2	copyright	copyright	NOUN
ijassa-1212	238	3	©	©	PROPN
ijassa-1212	238	4	2022	2022	NUM
ijassa-1212	238	5	assa	assa	NOUN
ijassa-1212	238	6	.	.	PUNCT
ijassa-1212	239	1	adv	adv	PROPN
ijassa-1212	239	2	syst	syst	PROPN
ijassa-1212	239	3	sci	sci	PROPN
ijassa-1212	239	4	appl	appl	PROPN
ijassa-1212	239	5	(	(	PUNCT
ijassa-1212	239	6	2022	2022	NUM
ijassa-1212	239	7	)	)	PUNCT
ijassa-1212	239	8	graph	graph	NOUN
ijassa-1212	239	9	methods	method	NOUN
ijassa-1212	239	10	for	for	ADP
ijassa-1212	239	11	improving	improve	VERB
ijassa-1212	239	12	the	the	DET
ijassa-1212	239	13	invalid	invalid	ADJ
ijassa-1212	239	14	solution	solution	NOUN
ijassa-1212	239	15	of	of	ADP
ijassa-1212	239	16	the	the	DET
ijassa-1212	239	17	locomotive	locomotive	NOUN
ijassa-1212	239	18	...	...	PUNCT
ijassa-1212	239	19	55	55	NUM
ijassa-1212	239	20	this	this	DET
ijassa-1212	239	21	case	case	NOUN
ijassa-1212	239	22	,	,	PUNCT
ijassa-1212	239	23	one	one	NUM
ijassa-1212	239	24	more	more	ADJ
ijassa-1212	239	25	switch	switch	NOUN
ijassa-1212	239	26	occurs	occur	VERB
ijassa-1212	239	27	,	,	PUNCT
ijassa-1212	239	28	which	which	PRON
ijassa-1212	239	29	we	we	PRON
ijassa-1212	239	30	will	will	AUX
ijassa-1212	239	31	call	call	VERB
ijassa-1212	239	32	a	a	DET
ijassa-1212	239	33	co	co	NOUN
ijassa-1212	239	34	-	-	NOUN
ijassa-1212	239	35	changeover	changeover	NOUN
ijassa-1212	239	36	.	.	PUNCT
ijassa-1212	240	1	an	an	DET
ijassa-1212	240	2	example	example	NOUN
ijassa-1212	240	3	of	of	ADP
ijassa-1212	240	4	cochangeover	cochangeover	ADJ
ijassa-1212	240	5	operations	operation	NOUN
ijassa-1212	240	6	is	be	AUX
ijassa-1212	240	7	shown	show	VERB
ijassa-1212	240	8	in	in	ADP
ijassa-1212	240	9	fig	fig	NOUN
ijassa-1212	240	10	.	.	PUNCT
ijassa-1212	241	1	4.7(e	4.7(e	NUM
ijassa-1212	241	2	)	)	PUNCT
ijassa-1212	241	3	.	.	PUNCT
ijassa-1212	242	1	(	(	PUNCT
ijassa-1212	242	2	a	a	X
ijassa-1212	242	3	)	)	PUNCT
ijassa-1212	242	4	(	(	PUNCT
ijassa-1212	242	5	b	b	X
ijassa-1212	242	6	)	)	PUNCT
ijassa-1212	242	7	(	(	PUNCT
ijassa-1212	242	8	с	с	NOUN
ijassa-1212	242	9	)	)	PUNCT
ijassa-1212	242	10	(	(	PUNCT
ijassa-1212	242	11	e	e	NOUN
ijassa-1212	242	12	)	)	PUNCT
ijassa-1212	242	13	!	!	PUNCT
ijassa-1212	242	14	!	!	PUNCT
ijassa-1212	242	15	!	!	PUNCT
ijassa-1212	242	16	!	!	PUNCT
ijassa-1212	242	17	!	!	PUNCT
ijassa-1212	243	1	(	(	PUNCT
ijassa-1212	243	2	d	d	X
ijassa-1212	243	3	)	)	PUNCT
ijassa-1212	243	4	fig	fig	NOUN
ijassa-1212	243	5	.	.	PUNCT
ijassa-1212	244	1	4.7	4.7	NUM
ijassa-1212	244	2	.	.	PUNCT
ijassa-1212	244	3	changeover	changeover	NOUN
ijassa-1212	244	4	and	and	CCONJ
ijassa-1212	244	5	co	co	NOUN
ijassa-1212	244	6	-	-	NOUN
ijassa-1212	244	7	changeover	changeover	NOUN
ijassa-1212	244	8	:	:	PUNCT
ijassa-1212	244	9	(	(	PUNCT
ijassa-1212	244	10	a	a	X
ijassa-1212	244	11	)	)	PUNCT
ijassa-1212	244	12	the	the	DET
ijassa-1212	244	13	initial	initial	ADJ
ijassa-1212	244	14	reachability	reachability	NOUN
ijassa-1212	244	15	graph	graph	NOUN
ijassa-1212	244	16	;	;	PUNCT
ijassa-1212	244	17	colors	color	NOUN
ijassa-1212	244	18	of	of	ADP
ijassa-1212	244	19	vertices	vertex	NOUN
ijassa-1212	244	20	correspond	correspond	VERB
ijassa-1212	244	21	to	to	ADP
ijassa-1212	244	22	available	available	ADJ
ijassa-1212	244	23	locomotives	locomotive	NOUN
ijassa-1212	244	24	;	;	PUNCT
ijassa-1212	244	25	blue	blue	ADJ
ijassa-1212	244	26	locomotive	locomotive	NOUN
ijassa-1212	244	27	has	have	VERB
ijassa-1212	244	28	a	a	DET
ijassa-1212	244	29	time	time	NOUN
ijassa-1212	244	30	constraint	constraint	NOUN
ijassa-1212	244	31	;	;	PUNCT
ijassa-1212	244	32	(	(	PUNCT
ijassa-1212	244	33	b	b	X
ijassa-1212	244	34	)	)	PUNCT
ijassa-1212	244	35	cloning	cloning	NOUN
ijassa-1212	244	36	vertices	vertex	NOUN
ijassa-1212	244	37	to	to	ADP
ijassa-1212	244	38	the	the	DET
ijassa-1212	244	39	bottom	bottom	ADJ
ijassa-1212	244	40	level	level	NOUN
ijassa-1212	244	41	;	;	PUNCT
ijassa-1212	244	42	(	(	PUNCT
ijassa-1212	244	43	c	c	X
ijassa-1212	244	44	)	)	PUNCT
ijassa-1212	244	45	the	the	DET
ijassa-1212	244	46	invalid	invalid	ADJ
ijassa-1212	244	47	cover	cover	NOUN
ijassa-1212	244	48	;	;	PUNCT
ijassa-1212	244	49	(	(	PUNCT
ijassa-1212	244	50	d	d	X
ijassa-1212	244	51	)	)	PUNCT
ijassa-1212	244	52	changeover	changeover	NOUN
ijassa-1212	244	53	from	from	ADP
ijassa-1212	244	54	an	an	DET
ijassa-1212	244	55	invalid	invalid	ADJ
ijassa-1212	244	56	vertex	vertex	NOUN
ijassa-1212	244	57	to	to	ADP
ijassa-1212	244	58	a	a	DET
ijassa-1212	244	59	valid	valid	ADJ
ijassa-1212	244	60	clone	clone	NOUN
ijassa-1212	244	61	vertex	vertex	NOUN
ijassa-1212	244	62	;	;	PUNCT
ijassa-1212	244	63	(	(	PUNCT
ijassa-1212	244	64	e	e	NOUN
ijassa-1212	244	65	)	)	PUNCT
ijassa-1212	244	66	co	co	NOUN
ijassa-1212	244	67	-	-	NOUN
ijassa-1212	244	68	changeover	changeover	NOUN
ijassa-1212	244	69	from	from	ADP
ijassa-1212	244	70	the	the	DET
ijassa-1212	244	71	clone	clone	NOUN
ijassa-1212	244	72	vertex	vertex	NOUN
ijassa-1212	244	73	to	to	ADP
ijassa-1212	244	74	the	the	DET
ijassa-1212	244	75	real	real	ADJ
ijassa-1212	244	76	transportation	transportation	NOUN
ijassa-1212	244	77	the	the	DET
ijassa-1212	244	78	figure	figure	NOUN
ijassa-1212	244	79	4.7	4.7	NUM
ijassa-1212	244	80	shows	show	VERB
ijassa-1212	244	81	a	a	DET
ijassa-1212	244	82	changeover	changeover	NOUN
ijassa-1212	244	83	and	and	CCONJ
ijassa-1212	244	84	a	a	DET
ijassa-1212	244	85	co	co	NOUN
ijassa-1212	244	86	-	-	NOUN
ijassa-1212	244	87	changeover	changeover	NOUN
ijassa-1212	244	88	that	that	PRON
ijassa-1212	244	89	do	do	AUX
ijassa-1212	244	90	not	not	PART
ijassa-1212	244	91	change	change	VERB
ijassa-1212	244	92	the	the	DET
ijassa-1212	244	93	number	number	NOUN
ijassa-1212	244	94	of	of	ADP
ijassa-1212	244	95	paths	path	NOUN
ijassa-1212	244	96	in	in	ADP
ijassa-1212	244	97	the	the	DET
ijassa-1212	244	98	cover	cover	NOUN
ijassa-1212	244	99	.	.	PUNCT
ijassa-1212	245	1	however	however	ADV
ijassa-1212	245	2	,	,	PUNCT
ijassa-1212	245	3	there	there	PRON
ijassa-1212	245	4	may	may	AUX
ijassa-1212	245	5	be	be	AUX
ijassa-1212	245	6	situations	situation	NOUN
ijassa-1212	245	7	where	where	SCONJ
ijassa-1212	245	8	the	the	DET
ijassa-1212	245	9	changeover	changeover	NOUN
ijassa-1212	245	10	operation	operation	NOUN
ijassa-1212	245	11	generates	generate	VERB
ijassa-1212	245	12	a	a	DET
ijassa-1212	245	13	new	new	ADJ
ijassa-1212	245	14	path	path	NOUN
ijassa-1212	245	15	that	that	PRON
ijassa-1212	245	16	requires	require	VERB
ijassa-1212	245	17	one	one	NUM
ijassa-1212	245	18	more	more	ADV
ijassa-1212	245	19	locomotive	locomotive	ADJ
ijassa-1212	245	20	.	.	PUNCT
ijassa-1212	246	1	such	such	DET
ijassa-1212	246	2	a	a	DET
ijassa-1212	246	3	situation	situation	NOUN
ijassa-1212	246	4	is	be	AUX
ijassa-1212	246	5	demonstrated	demonstrate	VERB
ijassa-1212	246	6	in	in	ADP
ijassa-1212	246	7	fig	fig	NOUN
ijassa-1212	246	8	.	.	PUNCT
ijassa-1212	247	1	4.8	4.8	NUM
ijassa-1212	247	2	.	.	PUNCT
ijassa-1212	248	1	note	note	VERB
ijassa-1212	248	2	that	that	SCONJ
ijassa-1212	248	3	if	if	SCONJ
ijassa-1212	248	4	there	there	PRON
ijassa-1212	248	5	were	be	VERB
ijassa-1212	248	6	no	no	DET
ijassa-1212	248	7	time	time	NOUN
ijassa-1212	248	8	constraints	constraint	NOUN
ijassa-1212	248	9	,	,	PUNCT
ijassa-1212	248	10	two	two	NUM
ijassa-1212	248	11	locomotives	locomotive	NOUN
ijassa-1212	248	12	would	would	AUX
ijassa-1212	248	13	be	be	AUX
ijassa-1212	248	14	sufficient	sufficient	ADJ
ijassa-1212	248	15	to	to	PART
ijassa-1212	248	16	perform	perform	VERB
ijassa-1212	248	17	all	all	DET
ijassa-1212	248	18	the	the	DET
ijassa-1212	248	19	transportations	transportation	NOUN
ijassa-1212	248	20	.	.	PUNCT
ijassa-1212	249	1	remark	remark	VERB
ijassa-1212	249	2	4.2	4.2	NUM
ijassa-1212	249	3	:	:	PUNCT
ijassa-1212	249	4	the	the	DET
ijassa-1212	249	5	examples	example	NOUN
ijassa-1212	249	6	in	in	ADP
ijassa-1212	249	7	figures	figure	NOUN
ijassa-1212	249	8	4.7	4.7	NUM
ijassa-1212	249	9	and	and	CCONJ
ijassa-1212	249	10	4.8	4.8	NUM
ijassa-1212	249	11	consider	consider	VERB
ijassa-1212	249	12	the	the	DET
ijassa-1212	249	13	case	case	NOUN
ijassa-1212	249	14	of	of	ADP
ijassa-1212	249	15	early	early	ADJ
ijassa-1212	249	16	termination	termination	NOUN
ijassa-1212	249	17	of	of	ADP
ijassa-1212	249	18	locomotives	locomotive	NOUN
ijassa-1212	249	19	.	.	PUNCT
ijassa-1212	250	1	the	the	DET
ijassa-1212	250	2	second	second	ADJ
ijassa-1212	250	3	possible	possible	ADJ
ijassa-1212	250	4	case	case	NOUN
ijassa-1212	250	5	is	be	AUX
ijassa-1212	250	6	a	a	DET
ijassa-1212	250	7	late	late	ADJ
ijassa-1212	250	8	start	start	NOUN
ijassa-1212	250	9	.	.	PUNCT
ijassa-1212	251	1	without	without	ADP
ijassa-1212	251	2	loss	loss	NOUN
ijassa-1212	251	3	of	of	ADP
ijassa-1212	251	4	generality	generality	NOUN
ijassa-1212	251	5	,	,	PUNCT
ijassa-1212	251	6	we	we	PRON
ijassa-1212	251	7	will	will	AUX
ijassa-1212	251	8	consider	consider	VERB
ijassa-1212	251	9	time	time	NOUN
ijassa-1212	251	10	constraints	constraint	NOUN
ijassa-1212	251	11	corresponding	correspond	VERB
ijassa-1212	251	12	to	to	ADP
ijassa-1212	251	13	early	early	ADJ
ijassa-1212	251	14	termination	termination	NOUN
ijassa-1212	251	15	.	.	PUNCT
ijassa-1212	252	1	the	the	DET
ijassa-1212	252	2	problem	problem	NOUN
ijassa-1212	252	3	with	with	ADP
ijassa-1212	252	4	a	a	DET
ijassa-1212	252	5	late	late	ADJ
ijassa-1212	252	6	start	start	NOUN
ijassa-1212	252	7	is	be	AUX
ijassa-1212	252	8	dual	dual	ADJ
ijassa-1212	252	9	and	and	CCONJ
ijassa-1212	252	10	is	be	AUX
ijassa-1212	252	11	solved	solve	VERB
ijassa-1212	252	12	in	in	ADP
ijassa-1212	252	13	a	a	DET
ijassa-1212	252	14	similar	similar	ADJ
ijassa-1212	252	15	way	way	NOUN
ijassa-1212	252	16	.	.	PUNCT
ijassa-1212	253	1	remark	remark	VERB
ijassa-1212	253	2	4.3	4.3	NUM
ijassa-1212	253	3	:	:	PUNCT
ijassa-1212	253	4	as	as	ADP
ijassa-1212	253	5	in	in	ADP
ijassa-1212	253	6	the	the	DET
ijassa-1212	253	7	case	case	NOUN
ijassa-1212	253	8	of	of	ADP
ijassa-1212	253	9	k	k	NOUN
ijassa-1212	253	10	-	-	PUNCT
ijassa-1212	253	11	crossover	crossover	NOUN
ijassa-1212	253	12	,	,	PUNCT
ijassa-1212	253	13	k	k	X
ijassa-1212	253	14	-	-	ADJ
ijassa-1212	253	15	co	co	NOUN
ijassa-1212	253	16	-	-	NOUN
ijassa-1212	253	17	changeover	changeover	NOUN
ijassa-1212	253	18	is	be	AUX
ijassa-1212	253	19	possible	possible	ADJ
ijassa-1212	253	20	,	,	PUNCT
ijassa-1212	253	21	when	when	SCONJ
ijassa-1212	253	22	there	there	PRON
ijassa-1212	253	23	is	be	VERB
ijassa-1212	253	24	a	a	DET
ijassa-1212	253	25	cyclic	cyclic	ADJ
ijassa-1212	253	26	replacement	replacement	NOUN
ijassa-1212	253	27	of	of	ADP
ijassa-1212	253	28	the	the	DET
ijassa-1212	253	29	ends	end	NOUN
ijassa-1212	253	30	of	of	ADP
ijassa-1212	253	31	the	the	DET
ijassa-1212	253	32	paths	path	NOUN
ijassa-1212	253	33	with	with	ADP
ijassa-1212	253	34	the	the	DET
ijassa-1212	253	35	release	release	NOUN
ijassa-1212	253	36	of	of	ADP
ijassa-1212	253	37	one	one	NUM
ijassa-1212	253	38	clone	clone	NOUN
ijassa-1212	253	39	or	or	CCONJ
ijassa-1212	253	40	original	original	ADJ
ijassa-1212	253	41	vertex	vertex	NOUN
ijassa-1212	253	42	or	or	CCONJ
ijassa-1212	253	43	a	a	DET
ijassa-1212	253	44	path	path	NOUN
ijassa-1212	253	45	.	.	PUNCT
ijassa-1212	254	1	4.1.3	4.1.3	NUM
ijassa-1212	254	2	.	.	PUNCT
ijassa-1212	254	3	distance	distance	NOUN
ijassa-1212	254	4	between	between	ADP
ijassa-1212	254	5	paths	path	NOUN
ijassa-1212	254	6	.	.	PUNCT
ijassa-1212	255	1	let	let	VERB
ijassa-1212	255	2	us	we	PRON
ijassa-1212	255	3	number	number	VERB
ijassa-1212	255	4	the	the	DET
ijassa-1212	255	5	paths	path	NOUN
ijassa-1212	255	6	from	from	ADP
ijassa-1212	255	7	left	left	ADJ
ijassa-1212	255	8	to	to	ADP
ijassa-1212	255	9	right	right	NOUN
ijassa-1212	255	10	according	accord	VERB
ijassa-1212	255	11	to	to	ADP
ijassa-1212	255	12	their	their	PRON
ijassa-1212	255	13	beginnings	beginning	NOUN
ijassa-1212	255	14	in	in	ADP
ijassa-1212	255	15	the	the	DET
ijassa-1212	255	16	graph	graph	NOUN
ijassa-1212	255	17	.	.	PUNCT
ijassa-1212	256	1	the	the	DET
ijassa-1212	256	2	distance	distance	NOUN
ijassa-1212	256	3	d(pathi	d(pathi	NOUN
ijassa-1212	256	4	,	,	PUNCT
ijassa-1212	256	5	pathj	pathj	NOUN
ijassa-1212	256	6	)	)	PUNCT
ijassa-1212	256	7	from	from	ADP
ijassa-1212	256	8	the	the	DET
ijassa-1212	256	9	path	path	NOUN
ijassa-1212	256	10	pathi	pathi	PROPN
ijassa-1212	256	11	to	to	ADP
ijassa-1212	256	12	the	the	DET
ijassa-1212	256	13	path	path	NOUN
ijassa-1212	256	14	pathj	pathj	NOUN
ijassa-1212	256	15	is	be	AUX
ijassa-1212	256	16	a	a	DET
ijassa-1212	256	17	vector	vector	NOUN
ijassa-1212	256	18	of	of	ADP
ijassa-1212	256	19	length	length	NOUN
ijassa-1212	256	20	2	2	NUM
ijassa-1212	256	21	:	:	PUNCT
ijassa-1212	256	22	d(pathi	d(pathi	NOUN
ijassa-1212	256	23	,	,	PUNCT
ijassa-1212	256	24	pathj	pathj	NOUN
ijassa-1212	256	25	)	)	PUNCT
ijassa-1212	256	26	=	=	SYM
ijassa-1212	256	27	(	(	PUNCT
ijassa-1212	256	28	d1	d1	PROPN
ijassa-1212	256	29	,	,	PUNCT
ijassa-1212	256	30	d2	d2	PROPN
ijassa-1212	256	31	)	)	PUNCT
ijassa-1212	256	32	.	.	PUNCT
ijassa-1212	257	1	the	the	DET
ijassa-1212	257	2	first	first	ADJ
ijassa-1212	257	3	component	component	NOUN
ijassa-1212	257	4	d1	d1	PROPN
ijassa-1212	257	5	is	be	AUX
ijassa-1212	257	6	equal	equal	ADJ
ijassa-1212	257	7	to	to	ADP
ijassa-1212	257	8	the	the	DET
ijassa-1212	257	9	minimum	minimum	ADJ
ijassa-1212	257	10	number	number	NOUN
ijassa-1212	257	11	of	of	ADP
ijassa-1212	257	12	crossover	crossover	NOUN
ijassa-1212	257	13	operations	operation	NOUN
ijassa-1212	257	14	that	that	PRON
ijassa-1212	257	15	must	must	AUX
ijassa-1212	257	16	be	be	AUX
ijassa-1212	257	17	performed	perform	VERB
ijassa-1212	257	18	in	in	ADP
ijassa-1212	257	19	order	order	NOUN
ijassa-1212	257	20	for	for	ADP
ijassa-1212	257	21	the	the	DET
ijassa-1212	257	22	path	path	NOUN
ijassa-1212	257	23	pathi	pathi	PROPN
ijassa-1212	257	24	to	to	PART
ijassa-1212	257	25	get	get	VERB
ijassa-1212	257	26	the	the	DET
ijassa-1212	257	27	end	end	NOUN
ijassa-1212	257	28	of	of	ADP
ijassa-1212	257	29	the	the	DET
ijassa-1212	257	30	path	path	NOUN
ijassa-1212	257	31	pathj	pathj	NOUN
ijassa-1212	257	32	.	.	PUNCT
ijassa-1212	258	1	the	the	DET
ijassa-1212	258	2	second	second	ADJ
ijassa-1212	258	3	component	component	NOUN
ijassa-1212	258	4	takes	take	VERB
ijassa-1212	258	5	the	the	DET
ijassa-1212	258	6	value	value	NOUN
ijassa-1212	258	7	0	0	NUM
ijassa-1212	258	8	or	or	CCONJ
ijassa-1212	258	9	1	1	NUM
ijassa-1212	258	10	,	,	PUNCT
ijassa-1212	258	11	depending	depend	VERB
ijassa-1212	258	12	on	on	ADP
ijassa-1212	258	13	whether	whether	SCONJ
ijassa-1212	258	14	a	a	DET
ijassa-1212	258	15	changeover	changeover	NOUN
ijassa-1212	258	16	operation	operation	NOUN
ijassa-1212	258	17	is	be	AUX
ijassa-1212	258	18	needed	need	VERB
ijassa-1212	258	19	to	to	PART
ijassa-1212	258	20	reach	reach	VERB
ijassa-1212	258	21	the	the	DET
ijassa-1212	258	22	path	path	NOUN
ijassa-1212	258	23	pathj	pathj	NOUN
ijassa-1212	258	24	.	.	PUNCT
ijassa-1212	259	1	if	if	SCONJ
ijassa-1212	259	2	pathj	pathj	NOUN
ijassa-1212	259	3	is	be	AUX
ijassa-1212	259	4	unreachable	unreachable	ADJ
ijassa-1212	259	5	from	from	ADP
ijassa-1212	259	6	pathi	pathi	PROPN
ijassa-1212	259	7	,	,	PUNCT
ijassa-1212	259	8	we	we	PRON
ijassa-1212	259	9	will	will	AUX
ijassa-1212	259	10	assume	assume	VERB
ijassa-1212	259	11	that	that	SCONJ
ijassa-1212	259	12	d(pathi	d(pathi	NOUN
ijassa-1212	259	13	,	,	PUNCT
ijassa-1212	259	14	pathj	pathj	NOUN
ijassa-1212	259	15	)	)	PUNCT
ijassa-1212	259	16	=	=	SYM
ijassa-1212	259	17	(	(	PUNCT
ijassa-1212	259	18	∞,∞	∞,∞	NOUN
ijassa-1212	259	19	)	)	PUNCT
ijassa-1212	259	20	.	.	PUNCT
ijassa-1212	260	1	there	there	PRON
ijassa-1212	260	2	can	can	AUX
ijassa-1212	260	3	not	not	PART
ijassa-1212	260	4	be	be	AUX
ijassa-1212	260	5	more	more	ADJ
ijassa-1212	260	6	than	than	ADP
ijassa-1212	260	7	one	one	NUM
ijassa-1212	260	8	changeover	changeover	NOUN
ijassa-1212	260	9	operations	operation	NOUN
ijassa-1212	260	10	when	when	SCONJ
ijassa-1212	260	11	determining	determine	VERB
ijassa-1212	260	12	the	the	DET
ijassa-1212	260	13	distance	distance	NOUN
ijassa-1212	260	14	,	,	PUNCT
ijassa-1212	260	15	since	since	SCONJ
ijassa-1212	260	16	a	a	DET
ijassa-1212	260	17	changeover	changeover	NOUN
ijassa-1212	260	18	can	can	AUX
ijassa-1212	260	19	only	only	ADV
ijassa-1212	260	20	be	be	AUX
ijassa-1212	260	21	used	use	VERB
ijassa-1212	260	22	at	at	ADP
ijassa-1212	260	23	the	the	DET
ijassa-1212	260	24	final	final	ADJ
ijassa-1212	260	25	stage	stage	NOUN
ijassa-1212	260	26	.	.	PUNCT
ijassa-1212	261	1	copyright	copyright	NOUN
ijassa-1212	261	2	©	©	PROPN
ijassa-1212	261	3	2022	2022	NUM
ijassa-1212	261	4	assa	assa	NOUN
ijassa-1212	261	5	.	.	PUNCT
ijassa-1212	262	1	adv	adv	PROPN
ijassa-1212	262	2	syst	syst	PROPN
ijassa-1212	262	3	sci	sci	PROPN
ijassa-1212	262	4	appl	appl	PROPN
ijassa-1212	262	5	(	(	PUNCT
ijassa-1212	262	6	2022	2022	NUM
ijassa-1212	262	7	)	)	PUNCT
ijassa-1212	262	8	56	56	NUM
ijassa-1212	262	9	l.	l.	PROPN
ijassa-1212	262	10	zhilyakova	zhilyakova	PROPN
ijassa-1212	262	11	,	,	PUNCT
ijassa-1212	262	12	v.	v.	ADP
ijassa-1212	262	13	koreshkov	koreshkov	PROPN
ijassa-1212	262	14	(	(	PUNCT
ijassa-1212	262	15	a	a	NOUN
ijassa-1212	262	16	)	)	PUNCT
ijassa-1212	262	17	(	(	PUNCT
ijassa-1212	262	18	b	b	X
ijassa-1212	262	19	)	)	PUNCT
ijassa-1212	262	20	(	(	PUNCT
ijassa-1212	262	21	с	с	NOUN
ijassa-1212	262	22	)	)	PUNCT
ijassa-1212	262	23	(	(	PUNCT
ijassa-1212	262	24	d	d	NOUN
ijassa-1212	262	25	)	)	PUNCT
ijassa-1212	262	26	!	!	PUNCT
ijassa-1212	262	27	!	!	PUNCT
ijassa-1212	262	28	!	!	PUNCT
ijassa-1212	262	29	!	!	PUNCT
ijassa-1212	262	30	!	!	PUNCT
ijassa-1212	262	31	!	!	PUNCT
ijassa-1212	262	32	!	!	PUNCT
ijassa-1212	262	33	!	!	PUNCT
ijassa-1212	263	1	fig	fig	NOUN
ijassa-1212	263	2	.	.	PUNCT
ijassa-1212	264	1	4.8	4.8	NUM
ijassa-1212	264	2	.	.	PUNCT
ijassa-1212	264	3	changeover	changeover	NOUN
ijassa-1212	264	4	and	and	CCONJ
ijassa-1212	264	5	co	co	NOUN
ijassa-1212	264	6	-	-	NOUN
ijassa-1212	264	7	changeover	changeover	NOUN
ijassa-1212	264	8	:	:	PUNCT
ijassa-1212	264	9	(	(	PUNCT
ijassa-1212	264	10	a	a	X
ijassa-1212	264	11	)	)	PUNCT
ijassa-1212	264	12	the	the	DET
ijassa-1212	264	13	initial	initial	ADJ
ijassa-1212	264	14	reachability	reachability	NOUN
ijassa-1212	264	15	graph	graph	NOUN
ijassa-1212	264	16	;	;	PUNCT
ijassa-1212	264	17	colors	color	NOUN
ijassa-1212	264	18	of	of	ADP
ijassa-1212	264	19	vertices	vertex	NOUN
ijassa-1212	264	20	correspond	correspond	VERB
ijassa-1212	264	21	to	to	ADP
ijassa-1212	264	22	available	available	ADJ
ijassa-1212	264	23	locomotives	locomotive	NOUN
ijassa-1212	264	24	;	;	PUNCT
ijassa-1212	264	25	the	the	DET
ijassa-1212	264	26	red	red	ADJ
ijassa-1212	264	27	and	and	CCONJ
ijassa-1212	264	28	blue	blue	ADJ
ijassa-1212	264	29	locomotives	locomotive	NOUN
ijassa-1212	264	30	have	have	VERB
ijassa-1212	264	31	time	time	NOUN
ijassa-1212	264	32	constraints	constraint	NOUN
ijassa-1212	264	33	;	;	PUNCT
ijassa-1212	264	34	(	(	PUNCT
ijassa-1212	264	35	b	b	X
ijassa-1212	264	36	)	)	PUNCT
ijassa-1212	264	37	cloning	clone	VERB
ijassa-1212	264	38	vertex	vertex	NOUN
ijassa-1212	264	39	to	to	ADP
ijassa-1212	264	40	the	the	DET
ijassa-1212	264	41	bottom	bottom	ADJ
ijassa-1212	264	42	level	level	NOUN
ijassa-1212	264	43	;	;	PUNCT
ijassa-1212	264	44	(	(	PUNCT
ijassa-1212	264	45	c	c	X
ijassa-1212	264	46	)	)	PUNCT
ijassa-1212	264	47	the	the	DET
ijassa-1212	264	48	invalid	invalid	ADJ
ijassa-1212	264	49	cover	cover	NOUN
ijassa-1212	264	50	;	;	PUNCT
ijassa-1212	264	51	(	(	PUNCT
ijassa-1212	264	52	d	d	X
ijassa-1212	264	53	)	)	PUNCT
ijassa-1212	264	54	changeover	changeover	NOUN
ijassa-1212	264	55	(	(	PUNCT
ijassa-1212	264	56	blue	blue	ADJ
ijassa-1212	264	57	)	)	PUNCT
ijassa-1212	264	58	from	from	ADP
ijassa-1212	264	59	an	an	DET
ijassa-1212	264	60	invalid	invalid	ADJ
ijassa-1212	264	61	vertex	vertex	NOUN
ijassa-1212	264	62	to	to	ADP
ijassa-1212	264	63	a	a	DET
ijassa-1212	264	64	valid	valid	ADJ
ijassa-1212	264	65	clone	clone	NOUN
ijassa-1212	264	66	vertex	vertex	NOUN
ijassa-1212	264	67	,	,	PUNCT
ijassa-1212	264	68	co	co	NOUN
ijassa-1212	264	69	-	-	NOUN
ijassa-1212	264	70	changeover	changeover	NOUN
ijassa-1212	264	71	(	(	PUNCT
ijassa-1212	264	72	red	red	ADJ
ijassa-1212	264	73	)	)	PUNCT
ijassa-1212	264	74	,	,	PUNCT
ijassa-1212	264	75	and	and	CCONJ
ijassa-1212	264	76	assigning	assign	VERB
ijassa-1212	264	77	a	a	DET
ijassa-1212	264	78	new	new	ADJ
ijassa-1212	264	79	locomotive	locomotive	ADJ
ijassa-1212	264	80	(	(	PUNCT
ijassa-1212	264	81	green	green	ADJ
ijassa-1212	264	82	)	)	PUNCT
ijassa-1212	264	83	generally	generally	ADV
ijassa-1212	264	84	,	,	PUNCT
ijassa-1212	264	85	the	the	DET
ijassa-1212	264	86	distance	distance	NOUN
ijassa-1212	264	87	defined	define	VERB
ijassa-1212	264	88	in	in	ADP
ijassa-1212	264	89	this	this	DET
ijassa-1212	264	90	way	way	NOUN
ijassa-1212	264	91	is	be	AUX
ijassa-1212	264	92	non	non	ADJ
ijassa-1212	264	93	-	-	ADJ
ijassa-1212	264	94	symmetric	symmetric	ADJ
ijassa-1212	264	95	:	:	PUNCT
ijassa-1212	264	96	the	the	DET
ijassa-1212	264	97	equality	equality	NOUN
ijassa-1212	264	98	d(pathi	d(pathi	NOUN
ijassa-1212	264	99	,	,	PUNCT
ijassa-1212	264	100	pathj	pathj	NOUN
ijassa-1212	264	101	)	)	PUNCT
ijassa-1212	264	102	=	=	SYM
ijassa-1212	264	103	d(pathj	d(pathj	NOUN
ijassa-1212	264	104	,	,	PUNCT
ijassa-1212	264	105	pathi	pathi	PROPN
ijassa-1212	264	106	)	)	PUNCT
ijassa-1212	264	107	may	may	AUX
ijassa-1212	264	108	not	not	PART
ijassa-1212	264	109	hold	hold	VERB
ijassa-1212	264	110	.	.	PUNCT
ijassa-1212	265	1	it	it	PRON
ijassa-1212	265	2	depends	depend	VERB
ijassa-1212	265	3	on	on	ADP
ijassa-1212	265	4	the	the	DET
ijassa-1212	265	5	topology	topology	NOUN
ijassa-1212	265	6	of	of	ADP
ijassa-1212	265	7	the	the	DET
ijassa-1212	265	8	graph	graph	NOUN
ijassa-1212	265	9	.	.	PUNCT
ijassa-1212	266	1	fig	fig	NOUN
ijassa-1212	266	2	.	.	PUNCT
ijassa-1212	267	1	4.9	4.9	NUM
ijassa-1212	267	2	(	(	PUNCT
ijassa-1212	267	3	b	b	NOUN
ijassa-1212	267	4	)	)	PUNCT
ijassa-1212	267	5	demonstrates	demonstrate	VERB
ijassa-1212	267	6	the	the	DET
ijassa-1212	267	7	symmetric	symmetric	ADJ
ijassa-1212	267	8	distance	distance	NOUN
ijassa-1212	267	9	between	between	ADP
ijassa-1212	267	10	paths	path	NOUN
ijassa-1212	267	11	path1	path1	NOUN
ijassa-1212	267	12	and	and	CCONJ
ijassa-1212	267	13	path2	path2	PROPN
ijassa-1212	267	14	;	;	PUNCT
ijassa-1212	267	15	fig	fig	NOUN
ijassa-1212	267	16	.	.	PUNCT
ijassa-1212	268	1	4.9	4.9	NUM
ijassa-1212	268	2	(	(	PUNCT
ijassa-1212	268	3	c	c	NOUN
ijassa-1212	268	4	)	)	PUNCT
ijassa-1212	268	5	and	and	CCONJ
ijassa-1212	268	6	(	(	PUNCT
ijassa-1212	268	7	d	d	X
ijassa-1212	268	8	)	)	PUNCT
ijassa-1212	268	9	show	show	VERB
ijassa-1212	268	10	that	that	SCONJ
ijassa-1212	268	11	d(path1	d(path1	PROPN
ijassa-1212	268	12	,	,	PUNCT
ijassa-1212	268	13	path3	path3	PROPN
ijassa-1212	268	14	)	)	PUNCT
ijassa-1212	268	15	6=	6=	ADP
ijassa-1212	268	16	d(path3	d(path3	NOUN
ijassa-1212	268	17	,	,	PUNCT
ijassa-1212	268	18	path1	path1	PROPN
ijassa-1212	268	19	)	)	PUNCT
ijassa-1212	268	20	,	,	PUNCT
ijassa-1212	268	21	since	since	SCONJ
ijassa-1212	268	22	d(path1	d(path1	PROPN
ijassa-1212	268	23	,	,	PUNCT
ijassa-1212	268	24	path3	path3	PROPN
ijassa-1212	268	25	)	)	PUNCT
ijassa-1212	269	1	=	=	PUNCT
ijassa-1212	269	2	(	(	PUNCT
ijassa-1212	269	3	1	1	NUM
ijassa-1212	269	4	,	,	PUNCT
ijassa-1212	269	5	0	0	NUM
ijassa-1212	269	6	)	)	PUNCT
ijassa-1212	269	7	and	and	CCONJ
ijassa-1212	269	8	d(path3	d(path3	NOUN
ijassa-1212	269	9	,	,	PUNCT
ijassa-1212	269	10	path1	path1	NOUN
ijassa-1212	269	11	)	)	PUNCT
ijassa-1212	269	12	=	=	PUNCT
ijassa-1212	269	13	(	(	PUNCT
ijassa-1212	269	14	2	2	NUM
ijassa-1212	269	15	,	,	PUNCT
ijassa-1212	269	16	0	0	NUM
ijassa-1212	269	17	)	)	PUNCT
ijassa-1212	269	18	.	.	PUNCT
ijassa-1212	270	1	remark	remark	VERB
ijassa-1212	270	2	4.4	4.4	NUM
ijassa-1212	271	1	:	:	PUNCT
ijassa-1212	271	2	it	it	PRON
ijassa-1212	271	3	should	should	AUX
ijassa-1212	271	4	be	be	AUX
ijassa-1212	271	5	taken	take	VERB
ijassa-1212	271	6	into	into	ADP
ijassa-1212	271	7	account	account	NOUN
ijassa-1212	271	8	when	when	SCONJ
ijassa-1212	271	9	measuring	measure	VERB
ijassa-1212	271	10	the	the	DET
ijassa-1212	271	11	distance	distance	NOUN
ijassa-1212	271	12	that	that	PRON
ijassa-1212	271	13	each	each	DET
ijassa-1212	271	14	crossover	crossover	NOUN
ijassa-1212	271	15	is	be	AUX
ijassa-1212	271	16	performed	perform	VERB
ijassa-1212	271	17	between	between	ADP
ijassa-1212	271	18	a	a	DET
ijassa-1212	271	19	pair	pair	NOUN
ijassa-1212	271	20	of	of	ADP
ijassa-1212	271	21	adjacent	adjacent	ADJ
ijassa-1212	271	22	layers	layer	NOUN
ijassa-1212	271	23	.	.	PUNCT
ijassa-1212	272	1	all	all	DET
ijassa-1212	272	2	permutations	permutation	NOUN
ijassa-1212	272	3	within	within	ADP
ijassa-1212	272	4	a	a	DET
ijassa-1212	272	5	pair	pair	NOUN
ijassa-1212	272	6	of	of	ADP
ijassa-1212	272	7	layers	layer	NOUN
ijassa-1212	272	8	are	be	AUX
ijassa-1212	272	9	considered	consider	VERB
ijassa-1212	272	10	a	a	DET
ijassa-1212	272	11	single	single	ADJ
ijassa-1212	272	12	complex	complex	NOUN
ijassa-1212	272	13	crossover	crossover	NOUN
ijassa-1212	272	14	(	(	PUNCT
ijassa-1212	272	15	fig	fig	NOUN
ijassa-1212	272	16	.	.	PUNCT
ijassa-1212	273	1	4.9	4.9	NUM
ijassa-1212	273	2	(	(	PUNCT
ijassa-1212	273	3	c	c	NOUN
ijassa-1212	273	4	)	)	PUNCT
ijassa-1212	273	5	)	)	PUNCT
ijassa-1212	273	6	.	.	PUNCT
ijassa-1212	274	1	4.2	4.2	NUM
ijassa-1212	274	2	.	.	PUNCT
ijassa-1212	275	1	changing	change	VERB
ijassa-1212	275	2	locomotive	locomotive	ADJ
ijassa-1212	275	3	assignment	assignment	NOUN
ijassa-1212	275	4	by	by	ADP
ijassa-1212	275	5	constructing	construct	VERB
ijassa-1212	275	6	a	a	DET
ijassa-1212	275	7	layer	layer	NOUN
ijassa-1212	275	8	-	-	PUNCT
ijassa-1212	275	9	by	by	ADP
ijassa-1212	275	10	-	-	PUNCT
ijassa-1212	275	11	layer	layer	NOUN
ijassa-1212	275	12	structure	structure	NOUN
ijassa-1212	275	13	,	,	PUNCT
ijassa-1212	275	14	we	we	PRON
ijassa-1212	275	15	transformed	transform	VERB
ijassa-1212	275	16	the	the	DET
ijassa-1212	275	17	graph	graph	NOUN
ijassa-1212	275	18	so	so	SCONJ
ijassa-1212	275	19	that	that	SCONJ
ijassa-1212	275	20	every	every	DET
ijassa-1212	275	21	two	two	NUM
ijassa-1212	275	22	consecutive	consecutive	ADJ
ijassa-1212	275	23	layers	layer	NOUN
ijassa-1212	275	24	represent	represent	VERB
ijassa-1212	275	25	an	an	DET
ijassa-1212	275	26	independent	independent	ADJ
ijassa-1212	275	27	bipartite	bipartite	NOUN
ijassa-1212	275	28	graph	graph	NOUN
ijassa-1212	275	29	.	.	PUNCT
ijassa-1212	276	1	when	when	SCONJ
ijassa-1212	276	2	searching	search	VERB
ijassa-1212	276	3	for	for	ADP
ijassa-1212	276	4	the	the	DET
ijassa-1212	276	5	minimal	minimal	ADJ
ijassa-1212	276	6	cover	cover	NOUN
ijassa-1212	276	7	,	,	PUNCT
ijassa-1212	276	8	the	the	DET
ijassa-1212	276	9	maximum	maximum	ADJ
ijassa-1212	276	10	matching	matching	NOUN
ijassa-1212	276	11	is	be	AUX
ijassa-1212	276	12	searched	search	VERB
ijassa-1212	276	13	locally	locally	ADV
ijassa-1212	276	14	between	between	ADP
ijassa-1212	276	15	each	each	DET
ijassa-1212	276	16	pair	pair	NOUN
ijassa-1212	276	17	of	of	ADP
ijassa-1212	276	18	layers	layer	NOUN
ijassa-1212	276	19	.	.	PUNCT
ijassa-1212	277	1	we	we	PRON
ijassa-1212	277	2	will	will	AUX
ijassa-1212	277	3	assume	assume	VERB
ijassa-1212	277	4	that	that	SCONJ
ijassa-1212	277	5	the	the	DET
ijassa-1212	277	6	problem	problem	NOUN
ijassa-1212	277	7	without	without	ADP
ijassa-1212	277	8	time	time	NOUN
ijassa-1212	277	9	constraints	constraint	NOUN
ijassa-1212	277	10	has	have	VERB
ijassa-1212	277	11	a	a	DET
ijassa-1212	277	12	solution	solution	NOUN
ijassa-1212	277	13	and	and	CCONJ
ijassa-1212	277	14	any	any	DET
ijassa-1212	277	15	consequence	consequence	NOUN
ijassa-1212	277	16	of	of	ADP
ijassa-1212	277	17	transportations	transportation	NOUN
ijassa-1212	277	18	can	can	AUX
ijassa-1212	277	19	be	be	AUX
ijassa-1212	277	20	performed	perform	VERB
ijassa-1212	277	21	by	by	ADP
ijassa-1212	277	22	at	at	ADV
ijassa-1212	277	23	least	least	ADV
ijassa-1212	277	24	one	one	NUM
ijassa-1212	277	25	locomotive	locomotive	NOUN
ijassa-1212	277	26	.	.	PUNCT
ijassa-1212	278	1	before	before	ADP
ijassa-1212	278	2	applying	apply	VERB
ijassa-1212	278	3	the	the	DET
ijassa-1212	278	4	algorithm	algorithm	NOUN
ijassa-1212	278	5	presented	present	VERB
ijassa-1212	278	6	below	below	ADV
ijassa-1212	278	7	,	,	PUNCT
ijassa-1212	278	8	let	let	VERB
ijassa-1212	278	9	us	we	PRON
ijassa-1212	278	10	try	try	VERB
ijassa-1212	278	11	to	to	PART
ijassa-1212	278	12	correct	correct	VERB
ijassa-1212	278	13	not	not	PART
ijassa-1212	278	14	the	the	DET
ijassa-1212	278	15	cover	cover	NOUN
ijassa-1212	278	16	,	,	PUNCT
ijassa-1212	278	17	but	but	CCONJ
ijassa-1212	278	18	the	the	DET
ijassa-1212	278	19	assignments	assignment	NOUN
ijassa-1212	278	20	of	of	ADP
ijassa-1212	278	21	the	the	DET
ijassa-1212	278	22	locomotives	locomotive	NOUN
ijassa-1212	278	23	.	.	PUNCT
ijassa-1212	279	1	this	this	DET
ijassa-1212	279	2	procedure	procedure	NOUN
ijassa-1212	279	3	is	be	AUX
ijassa-1212	279	4	described	describe	VERB
ijassa-1212	279	5	in	in	ADP
ijassa-1212	279	6	detail	detail	NOUN
ijassa-1212	279	7	in	in	ADP
ijassa-1212	279	8	[	[	X
ijassa-1212	279	9	9	9	NUM
ijassa-1212	279	10	]	]	PUNCT
ijassa-1212	279	11	.	.	PUNCT
ijassa-1212	280	1	the	the	DET
ijassa-1212	280	2	idea	idea	NOUN
ijassa-1212	280	3	is	be	AUX
ijassa-1212	280	4	shown	show	VERB
ijassa-1212	280	5	in	in	ADP
ijassa-1212	280	6	fig	fig	NOUN
ijassa-1212	280	7	.	.	PUNCT
ijassa-1212	281	1	4.10	4.10	NUM
ijassa-1212	281	2	.	.	PUNCT
ijassa-1212	282	1	we	we	PRON
ijassa-1212	282	2	construct	construct	VERB
ijassa-1212	282	3	a	a	DET
ijassa-1212	282	4	three	three	NUM
ijassa-1212	282	5	-	-	PUNCT
ijassa-1212	282	6	layer	layer	NOUN
ijassa-1212	282	7	graph	graph	NOUN
ijassa-1212	282	8	as	as	SCONJ
ijassa-1212	282	9	follows	follow	VERB
ijassa-1212	282	10	.	.	PUNCT
ijassa-1212	283	1	the	the	DET
ijassa-1212	283	2	mid	mid	ADJ
ijassa-1212	283	3	-	-	ADJ
ijassa-1212	283	4	level	level	ADJ
ijassa-1212	283	5	vertices	vertex	NOUN
ijassa-1212	283	6	are	be	AUX
ijassa-1212	283	7	the	the	DET
ijassa-1212	283	8	condensation	condensation	NOUN
ijassa-1212	283	9	of	of	ADP
ijassa-1212	283	10	the	the	DET
ijassa-1212	283	11	paths	path	NOUN
ijassa-1212	283	12	that	that	PRON
ijassa-1212	283	13	make	make	VERB
ijassa-1212	283	14	up	up	ADP
ijassa-1212	283	15	the	the	DET
ijassa-1212	283	16	minimum	minimum	ADJ
ijassa-1212	283	17	cover	cover	NOUN
ijassa-1212	283	18	of	of	ADP
ijassa-1212	283	19	the	the	DET
ijassa-1212	283	20	reachability	reachability	NOUN
ijassa-1212	283	21	graph	graph	NOUN
ijassa-1212	283	22	.	.	PUNCT
ijassa-1212	284	1	top	top	ADJ
ijassa-1212	284	2	and	and	CCONJ
ijassa-1212	284	3	bottom	bottom	ADJ
ijassa-1212	284	4	layers	layer	NOUN
ijassa-1212	284	5	contain	contain	VERB
ijassa-1212	284	6	all	all	DET
ijassa-1212	284	7	available	available	ADJ
ijassa-1212	284	8	locomotives	locomotive	NOUN
ijassa-1212	284	9	.	.	PUNCT
ijassa-1212	285	1	the	the	DET
ijassa-1212	285	2	arcs	arcs	NOUN
ijassa-1212	285	3	between	between	ADP
ijassa-1212	285	4	top	top	ADJ
ijassa-1212	285	5	and	and	CCONJ
ijassa-1212	285	6	middle	middle	ADJ
ijassa-1212	285	7	layers	layer	NOUN
ijassa-1212	285	8	are	be	AUX
ijassa-1212	285	9	all	all	PRON
ijassa-1212	285	10	possible	possible	ADJ
ijassa-1212	285	11	assignments	assignment	NOUN
ijassa-1212	285	12	of	of	ADP
ijassa-1212	285	13	locomotives	locomotive	NOUN
ijassa-1212	285	14	to	to	ADP
ijassa-1212	285	15	the	the	DET
ijassa-1212	285	16	initial	initial	ADJ
ijassa-1212	285	17	vertices	vertex	NOUN
ijassa-1212	285	18	of	of	ADP
ijassa-1212	285	19	the	the	DET
ijassa-1212	285	20	paths	path	NOUN
ijassa-1212	285	21	.	.	PUNCT
ijassa-1212	286	1	the	the	DET
ijassa-1212	286	2	arcs	arcs	NOUN
ijassa-1212	286	3	between	between	ADP
ijassa-1212	286	4	middle	middle	ADJ
ijassa-1212	286	5	and	and	CCONJ
ijassa-1212	286	6	bottom	bottom	ADJ
ijassa-1212	286	7	layers	layer	NOUN
ijassa-1212	286	8	indicate	indicate	VERB
ijassa-1212	286	9	the	the	DET
ijassa-1212	286	10	correspondence	correspondence	NOUN
ijassa-1212	286	11	of	of	ADP
ijassa-1212	286	12	locomotives	locomotive	NOUN
ijassa-1212	286	13	and	and	CCONJ
ijassa-1212	286	14	the	the	DET
ijassa-1212	286	15	ends	end	NOUN
ijassa-1212	286	16	of	of	ADP
ijassa-1212	286	17	each	each	DET
ijassa-1212	286	18	path	path	NOUN
ijassa-1212	286	19	.	.	PUNCT
ijassa-1212	287	1	so	so	ADV
ijassa-1212	287	2	,	,	PUNCT
ijassa-1212	287	3	if	if	SCONJ
ijassa-1212	287	4	the	the	DET
ijassa-1212	287	5	same	same	ADJ
ijassa-1212	287	6	locomotive	locomotive	NOUN
ijassa-1212	287	7	is	be	AUX
ijassa-1212	287	8	connected	connect	VERB
ijassa-1212	287	9	to	to	ADP
ijassa-1212	287	10	the	the	DET
ijassa-1212	287	11	middle	middle	ADJ
ijassa-1212	287	12	vertex	vertex	NOUN
ijassa-1212	287	13	from	from	ADP
ijassa-1212	287	14	the	the	DET
ijassa-1212	287	15	upper	upper	ADJ
ijassa-1212	287	16	and	and	CCONJ
ijassa-1212	287	17	copyright	copyright	NOUN
ijassa-1212	287	18	©	©	PROPN
ijassa-1212	287	19	2022	2022	NUM
ijassa-1212	287	20	assa	assa	NOUN
ijassa-1212	287	21	.	.	PUNCT
ijassa-1212	288	1	adv	adv	PROPN
ijassa-1212	288	2	syst	syst	PROPN
ijassa-1212	288	3	sci	sci	PROPN
ijassa-1212	288	4	appl	appl	PROPN
ijassa-1212	288	5	(	(	PUNCT
ijassa-1212	288	6	2022	2022	NUM
ijassa-1212	288	7	)	)	PUNCT
ijassa-1212	288	8	graph	graph	NOUN
ijassa-1212	288	9	methods	method	NOUN
ijassa-1212	288	10	for	for	ADP
ijassa-1212	288	11	improving	improve	VERB
ijassa-1212	288	12	the	the	DET
ijassa-1212	288	13	invalid	invalid	ADJ
ijassa-1212	288	14	solution	solution	NOUN
ijassa-1212	288	15	of	of	ADP
ijassa-1212	288	16	the	the	DET
ijassa-1212	288	17	locomotive	locomotive	NOUN
ijassa-1212	288	18	...	...	PUNCT
ijassa-1212	288	19	57	57	NUM
ijassa-1212	288	20	(	(	PUNCT
ijassa-1212	288	21	a	a	NOUN
ijassa-1212	288	22	)	)	PUNCT
ijassa-1212	288	23	(	(	PUNCT
ijassa-1212	288	24	b	b	NOUN
ijassa-1212	288	25	)	)	PUNCT
ijassa-1212	288	26	(	(	PUNCT
ijassa-1212	288	27	d)(c	d)(c	X
ijassa-1212	288	28	)	)	PUNCT
ijassa-1212	288	29	fig	fig	NOUN
ijassa-1212	288	30	.	.	PUNCT
ijassa-1212	289	1	4.9	4.9	NUM
ijassa-1212	289	2	.	.	PUNCT
ijassa-1212	289	3	distance	distance	NOUN
ijassa-1212	289	4	between	between	ADP
ijassa-1212	289	5	paths	path	NOUN
ijassa-1212	289	6	:	:	PUNCT
ijassa-1212	289	7	(	(	PUNCT
ijassa-1212	289	8	a	a	X
ijassa-1212	289	9	)	)	PUNCT
ijassa-1212	289	10	the	the	DET
ijassa-1212	289	11	initial	initial	ADJ
ijassa-1212	289	12	reachability	reachability	NOUN
ijassa-1212	289	13	graph	graph	NOUN
ijassa-1212	289	14	coinciding	coincide	VERB
ijassa-1212	289	15	with	with	ADP
ijassa-1212	289	16	the	the	DET
ijassa-1212	289	17	graphs	graph	NOUN
ijassa-1212	289	18	in	in	ADP
ijassa-1212	289	19	fig	fig	NOUN
ijassa-1212	289	20	.	.	PUNCT
ijassa-1212	290	1	4.5	4.5	NUM
ijassa-1212	290	2	,	,	PUNCT
ijassa-1212	290	3	fig	fig	NOUN
ijassa-1212	290	4	.	.	PUNCT
ijassa-1212	291	1	4.6	4.6	NUM
ijassa-1212	291	2	;	;	PUNCT
ijassa-1212	291	3	(	(	PUNCT
ijassa-1212	291	4	b	b	X
ijassa-1212	291	5	)	)	PUNCT
ijassa-1212	291	6	d(path1	d(path1	PROPN
ijassa-1212	291	7	,	,	PUNCT
ijassa-1212	291	8	path2	path2	PROPN
ijassa-1212	291	9	)	)	PUNCT
ijassa-1212	292	1	=	=	SYM
ijassa-1212	292	2	d(path2	d(path2	PROPN
ijassa-1212	292	3	,	,	PUNCT
ijassa-1212	292	4	path1	path1	PROPN
ijassa-1212	292	5	)	)	PUNCT
ijassa-1212	292	6	=	=	PUNCT
ijassa-1212	292	7	(	(	PUNCT
ijassa-1212	292	8	1	1	NUM
ijassa-1212	292	9	,	,	PUNCT
ijassa-1212	292	10	0	0	NUM
ijassa-1212	292	11	)	)	PUNCT
ijassa-1212	292	12	;	;	PUNCT
ijassa-1212	292	13	(	(	PUNCT
ijassa-1212	292	14	c	c	X
ijassa-1212	292	15	)	)	PUNCT
ijassa-1212	292	16	d(path1	d(path1	PROPN
ijassa-1212	292	17	,	,	PUNCT
ijassa-1212	292	18	path3	path3	PROPN
ijassa-1212	292	19	)	)	PUNCT
ijassa-1212	292	20	=	=	PUNCT
ijassa-1212	292	21	(	(	PUNCT
ijassa-1212	292	22	1	1	NUM
ijassa-1212	292	23	,	,	PUNCT
ijassa-1212	292	24	0	0	NUM
ijassa-1212	292	25	)	)	PUNCT
ijassa-1212	292	26	;	;	PUNCT
ijassa-1212	292	27	(	(	PUNCT
ijassa-1212	292	28	d	d	X
ijassa-1212	292	29	)	)	PUNCT
ijassa-1212	292	30	d(path3	d(path3	NOUN
ijassa-1212	292	31	,	,	PUNCT
ijassa-1212	292	32	path1	path1	NOUN
ijassa-1212	292	33	)	)	PUNCT
ijassa-1212	292	34	=	=	PUNCT
ijassa-1212	292	35	(	(	PUNCT
ijassa-1212	292	36	2	2	NUM
ijassa-1212	292	37	,	,	PUNCT
ijassa-1212	292	38	0	0	NUM
ijassa-1212	292	39	)	)	PUNCT
ijassa-1212	292	40	lower	low	ADJ
ijassa-1212	292	41	layers	layer	NOUN
ijassa-1212	292	42	,	,	PUNCT
ijassa-1212	292	43	then	then	ADV
ijassa-1212	292	44	it	it	PRON
ijassa-1212	292	45	can	can	AUX
ijassa-1212	292	46	carry	carry	VERB
ijassa-1212	292	47	out	out	ADP
ijassa-1212	292	48	the	the	DET
ijassa-1212	292	49	entire	entire	ADJ
ijassa-1212	292	50	sequence	sequence	NOUN
ijassa-1212	292	51	of	of	ADP
ijassa-1212	292	52	transportations	transportation	NOUN
ijassa-1212	292	53	.	.	PUNCT
ijassa-1212	293	1	in	in	ADP
ijassa-1212	293	2	terms	term	NOUN
ijassa-1212	293	3	of	of	ADP
ijassa-1212	293	4	a	a	DET
ijassa-1212	293	5	threelayer	threelayer	NOUN
ijassa-1212	293	6	graph	graph	NOUN
ijassa-1212	293	7	,	,	PUNCT
ijassa-1212	293	8	this	this	PRON
ijassa-1212	293	9	means	mean	VERB
ijassa-1212	293	10	that	that	SCONJ
ijassa-1212	293	11	we	we	PRON
ijassa-1212	293	12	should	should	AUX
ijassa-1212	293	13	remove	remove	VERB
ijassa-1212	293	14	arcs	arc	NOUN
ijassa-1212	293	15	that	that	PRON
ijassa-1212	293	16	are	be	AUX
ijassa-1212	293	17	not	not	PART
ijassa-1212	293	18	symmetrical	symmetrical	ADJ
ijassa-1212	293	19	with	with	ADP
ijassa-1212	293	20	respect	respect	NOUN
ijassa-1212	293	21	to	to	ADP
ijassa-1212	293	22	the	the	DET
ijassa-1212	293	23	middle	middle	ADJ
ijassa-1212	293	24	layer	layer	NOUN
ijassa-1212	293	25	,	,	PUNCT
ijassa-1212	293	26	since	since	SCONJ
ijassa-1212	293	27	they	they	PRON
ijassa-1212	293	28	connect	connect	VERB
ijassa-1212	293	29	the	the	DET
ijassa-1212	293	30	beginning	beginning	NOUN
ijassa-1212	293	31	and	and	CCONJ
ijassa-1212	293	32	end	end	NOUN
ijassa-1212	293	33	of	of	ADP
ijassa-1212	293	34	the	the	DET
ijassa-1212	293	35	track	track	NOUN
ijassa-1212	293	36	with	with	ADP
ijassa-1212	293	37	different	different	ADJ
ijassa-1212	293	38	locomotives	locomotive	NOUN
ijassa-1212	293	39	.	.	PUNCT
ijassa-1212	294	1	fig	fig	NOUN
ijassa-1212	294	2	.	.	PUNCT
ijassa-1212	295	1	4.10(a	4.10(a	NUM
ijassa-1212	295	2	)	)	PUNCT
ijassa-1212	295	3	demonstrates	demonstrate	VERB
ijassa-1212	295	4	the	the	DET
ijassa-1212	295	5	principle	principle	NOUN
ijassa-1212	295	6	of	of	ADP
ijassa-1212	295	7	construction	construction	NOUN
ijassa-1212	295	8	of	of	ADP
ijassa-1212	295	9	a	a	DET
ijassa-1212	295	10	three	three	NUM
ijassa-1212	295	11	-	-	PUNCT
ijassa-1212	295	12	layer	layer	NOUN
ijassa-1212	295	13	graph	graph	NOUN
ijassa-1212	295	14	.	.	PUNCT
ijassa-1212	296	1	fig	fig	NOUN
ijassa-1212	296	2	.	.	PUNCT
ijassa-1212	297	1	4.10(b	4.10(b	NUM
ijassa-1212	297	2	)	)	PUNCT
ijassa-1212	297	3	contains	contain	VERB
ijassa-1212	297	4	a	a	DET
ijassa-1212	297	5	reduced	reduce	VERB
ijassa-1212	297	6	graph	graph	NOUN
ijassa-1212	297	7	from	from	ADP
ijassa-1212	297	8	fig	fig	NOUN
ijassa-1212	297	9	.	.	PUNCT
ijassa-1212	298	1	4.10(a	4.10(a	NUM
ijassa-1212	298	2	)	)	PUNCT
ijassa-1212	298	3	,	,	PUNCT
ijassa-1212	298	4	on	on	ADP
ijassa-1212	298	5	which	which	PRON
ijassa-1212	298	6	only	only	ADJ
ijassa-1212	298	7	arcs	arc	NOUN
ijassa-1212	298	8	are	be	AUX
ijassa-1212	298	9	left	leave	VERB
ijassa-1212	298	10	that	that	PRON
ijassa-1212	298	11	are	be	AUX
ijassa-1212	298	12	symmetrical	symmetrical	ADJ
ijassa-1212	298	13	with	with	ADP
ijassa-1212	298	14	respect	respect	NOUN
ijassa-1212	298	15	to	to	ADP
ijassa-1212	298	16	the	the	DET
ijassa-1212	298	17	middle	middle	ADJ
ijassa-1212	298	18	layer	layer	NOUN
ijassa-1212	298	19	.	.	PUNCT
ijassa-1212	299	1	as	as	SCONJ
ijassa-1212	299	2	it	it	PRON
ijassa-1212	299	3	is	be	AUX
ijassa-1212	299	4	easy	easy	ADJ
ijassa-1212	299	5	to	to	PART
ijassa-1212	299	6	see	see	VERB
ijassa-1212	299	7	,	,	PUNCT
ijassa-1212	299	8	blue	blue	ADJ
ijassa-1212	299	9	locomotive	locomotive	NOUN
ijassa-1212	299	10	is	be	AUX
ijassa-1212	299	11	not	not	PART
ijassa-1212	299	12	connected	connect	VERB
ijassa-1212	299	13	with	with	ADP
ijassa-1212	299	14	any	any	DET
ijassa-1212	299	15	path	path	NOUN
ijassa-1212	299	16	.	.	PUNCT
ijassa-1212	300	1	this	this	DET
ijassa-1212	300	2	cover	cover	NOUN
ijassa-1212	300	3	can	can	AUX
ijassa-1212	300	4	not	not	PART
ijassa-1212	300	5	be	be	AUX
ijassa-1212	300	6	corrected	correct	VERB
ijassa-1212	300	7	by	by	ADP
ijassa-1212	300	8	reassigning	reassign	VERB
ijassa-1212	300	9	locomotives	locomotive	NOUN
ijassa-1212	300	10	.	.	PUNCT
ijassa-1212	301	1	fig	fig	NOUN
ijassa-1212	301	2	.	.	PUNCT
ijassa-1212	302	1	4.10(c	4.10(c	PROPN
ijassa-1212	302	2	)	)	PUNCT
ijassa-1212	302	3	considers	consider	VERB
ijassa-1212	302	4	another	another	DET
ijassa-1212	302	5	case	case	NOUN
ijassa-1212	302	6	.	.	PUNCT
ijassa-1212	303	1	here	here	ADV
ijassa-1212	303	2	the	the	DET
ijassa-1212	303	3	invalid	invalid	ADJ
ijassa-1212	303	4	assignment	assignment	NOUN
ijassa-1212	303	5	of	of	ADP
ijassa-1212	303	6	locomotives	locomotive	NOUN
ijassa-1212	303	7	can	can	AUX
ijassa-1212	303	8	be	be	AUX
ijassa-1212	303	9	corrected	correct	VERB
ijassa-1212	303	10	.	.	PUNCT
ijassa-1212	304	1	the	the	DET
ijassa-1212	304	2	reduced	reduced	ADJ
ijassa-1212	304	3	symmetric	symmetric	ADJ
ijassa-1212	304	4	graph	graph	NOUN
ijassa-1212	304	5	immediately	immediately	ADV
ijassa-1212	304	6	offers	offer	VERB
ijassa-1212	304	7	a	a	DET
ijassa-1212	304	8	solution	solution	NOUN
ijassa-1212	304	9	–	–	PUNCT
ijassa-1212	304	10	fig	fig	NOUN
ijassa-1212	304	11	.	.	PUNCT
ijassa-1212	305	1	4.10(d	4.10(d	NUM
ijassa-1212	305	2	)	)	PUNCT
ijassa-1212	305	3	.	.	PUNCT
ijassa-1212	306	1	the	the	DET
ijassa-1212	306	2	situation	situation	NOUN
ijassa-1212	306	3	in	in	ADP
ijassa-1212	306	4	fig	fig	NOUN
ijassa-1212	306	5	.	.	PUNCT
ijassa-1212	307	1	4.10(a),(b	4.10(a),(b	NUM
ijassa-1212	307	2	)	)	PUNCT
ijassa-1212	307	3	will	will	AUX
ijassa-1212	307	4	be	be	AUX
ijassa-1212	307	5	considered	consider	VERB
ijassa-1212	307	6	again	again	ADV
ijassa-1212	307	7	after	after	ADP
ijassa-1212	307	8	the	the	DET
ijassa-1212	307	9	description	description	NOUN
ijassa-1212	307	10	of	of	ADP
ijassa-1212	307	11	the	the	DET
ijassa-1212	307	12	algorithm	algorithm	NOUN
ijassa-1212	307	13	of	of	ADP
ijassa-1212	307	14	correcting	correct	VERB
ijassa-1212	307	15	the	the	DET
ijassa-1212	307	16	solution	solution	NOUN
ijassa-1212	307	17	fig	fig	NOUN
ijassa-1212	307	18	.	.	PUNCT
ijassa-1212	308	1	4.11	4.11	NUM
ijassa-1212	308	2	.	.	X
ijassa-1212	309	1	4.3	4.3	NUM
ijassa-1212	309	2	.	.	PUNCT
ijassa-1212	309	3	algorithm	algorithm	NOUN
ijassa-1212	309	4	for	for	ADP
ijassa-1212	309	5	improving	improve	VERB
ijassa-1212	309	6	invalid	invalid	ADJ
ijassa-1212	309	7	paths	path	NOUN
ijassa-1212	309	8	in	in	ADP
ijassa-1212	309	9	the	the	DET
ijassa-1212	309	10	minimal	minimal	ADJ
ijassa-1212	309	11	cover	cover	NOUN
ijassa-1212	309	12	1	1	NUM
ijassa-1212	309	13	.	.	PUNCT
ijassa-1212	309	14	find	find	VERB
ijassa-1212	309	15	the	the	DET
ijassa-1212	309	16	minimal	minimal	ADJ
ijassa-1212	309	17	path	path	NOUN
ijassa-1212	309	18	cover	cover	NOUN
ijassa-1212	309	19	of	of	ADP
ijassa-1212	309	20	a	a	DET
ijassa-1212	309	21	layered	layered	ADJ
ijassa-1212	309	22	reachability	reachability	NOUN
ijassa-1212	309	23	graph	graph	NOUN
ijassa-1212	309	24	.	.	PUNCT
ijassa-1212	310	1	2	2	X
ijassa-1212	310	2	.	.	X
ijassa-1212	310	3	construct	construct	VERB
ijassa-1212	310	4	a	a	DET
ijassa-1212	310	5	three	three	NUM
ijassa-1212	310	6	-	-	PUNCT
ijassa-1212	310	7	layer	layer	NOUN
ijassa-1212	310	8	graph	graph	NOUN
ijassa-1212	310	9	locomotives	locomotive	NOUN
ijassa-1212	310	10	-	-	PUNCT
ijassa-1212	310	11	paths	path	NOUN
ijassa-1212	310	12	-	-	PUNCT
ijassa-1212	310	13	locomotives	locomotive	NOUN
ijassa-1212	310	14	(	(	PUNCT
ijassa-1212	310	15	fig	fig	NOUN
ijassa-1212	310	16	.	.	PUNCT
ijassa-1212	311	1	4.10	4.10	NUM
ijassa-1212	311	2	)	)	PUNCT
ijassa-1212	311	3	.	.	PUNCT
ijassa-1212	312	1	3	3	X
ijassa-1212	312	2	.	.	X
ijassa-1212	312	3	find	find	VERB
ijassa-1212	312	4	an	an	DET
ijassa-1212	312	5	invalid	invalid	ADJ
ijassa-1212	312	6	path	path	NOUN
ijassa-1212	312	7	pathi	pathi	PROPN
ijassa-1212	312	8	in	in	ADP
ijassa-1212	312	9	this	this	DET
ijassa-1212	312	10	graph	graph	NOUN
ijassa-1212	312	11	(	(	PUNCT
ijassa-1212	312	12	the	the	DET
ijassa-1212	312	13	path	path	NOUN
ijassa-1212	312	14	associated	associate	VERB
ijassa-1212	312	15	with	with	ADP
ijassa-1212	312	16	disjoint	disjoint	NOUN
ijassa-1212	312	17	sets	set	NOUN
ijassa-1212	312	18	of	of	ADP
ijassa-1212	312	19	locomotives	locomotive	NOUN
ijassa-1212	312	20	of	of	ADP
ijassa-1212	312	21	the	the	DET
ijassa-1212	312	22	upper	upper	ADJ
ijassa-1212	312	23	and	and	CCONJ
ijassa-1212	312	24	lower	low	ADJ
ijassa-1212	312	25	layers	layer	NOUN
ijassa-1212	312	26	)	)	PUNCT
ijassa-1212	312	27	.	.	PUNCT
ijassa-1212	313	1	4	4	X
ijassa-1212	313	2	.	.	X
ijassa-1212	313	3	find	find	VERB
ijassa-1212	313	4	the	the	DET
ijassa-1212	313	5	locomotive	locomotive	ADJ
ijassa-1212	313	6	vertex	vertex	NOUN
ijassa-1212	313	7	ls	ls	PROPN
ijassa-1212	313	8	in	in	ADP
ijassa-1212	313	9	the	the	DET
ijassa-1212	313	10	upper	upper	ADJ
ijassa-1212	313	11	layer	layer	NOUN
ijassa-1212	313	12	that	that	PRON
ijassa-1212	313	13	is	be	AUX
ijassa-1212	313	14	not	not	PART
ijassa-1212	313	15	assigned	assign	VERB
ijassa-1212	313	16	to	to	ADP
ijassa-1212	313	17	any	any	DET
ijassa-1212	313	18	valid	valid	ADJ
ijassa-1212	313	19	path	path	NOUN
ijassa-1212	313	20	and	and	CCONJ
ijassa-1212	313	21	has	have	VERB
ijassa-1212	313	22	an	an	DET
ijassa-1212	313	23	arc	arc	NOUN
ijassa-1212	313	24	to	to	ADP
ijassa-1212	313	25	the	the	DET
ijassa-1212	313	26	path	path	NOUN
ijassa-1212	313	27	pathi	pathi	PROPN
ijassa-1212	313	28	.	.	PUNCT
ijassa-1212	314	1	since	since	SCONJ
ijassa-1212	314	2	it	it	PRON
ijassa-1212	314	3	is	be	AUX
ijassa-1212	314	4	assumed	assume	VERB
ijassa-1212	314	5	that	that	SCONJ
ijassa-1212	314	6	the	the	DET
ijassa-1212	314	7	problem	problem	NOUN
ijassa-1212	314	8	has	have	VERB
ijassa-1212	314	9	a	a	DET
ijassa-1212	314	10	solution	solution	NOUN
ijassa-1212	314	11	for	for	ADP
ijassa-1212	314	12	locomotives	locomotive	NOUN
ijassa-1212	314	13	without	without	ADP
ijassa-1212	314	14	constraints	constraint	NOUN
ijassa-1212	314	15	,	,	PUNCT
ijassa-1212	314	16	such	such	DET
ijassa-1212	314	17	a	a	DET
ijassa-1212	314	18	locomotive	locomotive	ADJ
ijassa-1212	314	19	ls	ls	NOUN
ijassa-1212	314	20	necessarily	necessarily	ADV
ijassa-1212	314	21	exists	exist	VERB
ijassa-1212	314	22	.	.	PUNCT
ijassa-1212	315	1	5	5	X
ijassa-1212	315	2	.	.	X
ijassa-1212	315	3	find	find	VERB
ijassa-1212	315	4	a	a	DET
ijassa-1212	315	5	valid	valid	ADJ
ijassa-1212	315	6	path	path	NOUN
ijassa-1212	315	7	pathj	pathj	NOUN
ijassa-1212	315	8	that	that	PRON
ijassa-1212	315	9	has	have	VERB
ijassa-1212	315	10	a	a	DET
ijassa-1212	315	11	connection	connection	NOUN
ijassa-1212	315	12	with	with	ADP
ijassa-1212	315	13	the	the	DET
ijassa-1212	315	14	locomotive	locomotive	ADJ
ijassa-1212	315	15	ls	ls	NOUN
ijassa-1212	315	16	at	at	ADP
ijassa-1212	315	17	the	the	DET
ijassa-1212	315	18	lower	low	ADJ
ijassa-1212	315	19	level	level	NOUN
ijassa-1212	315	20	.	.	PUNCT
ijassa-1212	316	1	if	if	SCONJ
ijassa-1212	316	2	there	there	PRON
ijassa-1212	316	3	are	be	VERB
ijassa-1212	316	4	more	more	ADJ
ijassa-1212	316	5	than	than	ADP
ijassa-1212	316	6	one	one	NUM
ijassa-1212	316	7	of	of	ADP
ijassa-1212	316	8	such	such	ADJ
ijassa-1212	316	9	paths	path	NOUN
ijassa-1212	316	10	,	,	PUNCT
ijassa-1212	316	11	rank	rank	VERB
ijassa-1212	316	12	the	the	DET
ijassa-1212	316	13	set	set	NOUN
ijassa-1212	316	14	of	of	ADP
ijassa-1212	316	15	candidates	candidate	NOUN
ijassa-1212	316	16	in	in	ADP
ijassa-1212	316	17	order	order	NOUN
ijassa-1212	316	18	of	of	ADP
ijassa-1212	316	19	increasing	increase	VERB
ijassa-1212	316	20	the	the	DET
ijassa-1212	316	21	second	second	ADJ
ijassa-1212	316	22	coordinate	coordinate	NOUN
ijassa-1212	316	23	of	of	ADP
ijassa-1212	316	24	the	the	DET
ijassa-1212	316	25	distance	distance	NOUN
ijassa-1212	316	26	vector	vector	NOUN
ijassa-1212	316	27	–	–	PUNCT
ijassa-1212	316	28	first	first	ADV
ijassa-1212	316	29	all	all	DET
ijassa-1212	316	30	paths	path	NOUN
ijassa-1212	316	31	with	with	ADP
ijassa-1212	316	32	d2(pathi	d2(pathi	NUM
ijassa-1212	316	33	,	,	PUNCT
ijassa-1212	316	34	pathj	pathj	NOUN
ijassa-1212	316	35	)	)	PUNCT
ijassa-1212	316	36	=	=	SYM
ijassa-1212	316	37	0	0	NUM
ijassa-1212	316	38	,	,	PUNCT
ijassa-1212	316	39	then	then	ADV
ijassa-1212	316	40	with	with	ADP
ijassa-1212	316	41	d2(pathi	d2(pathi	PROPN
ijassa-1212	316	42	,	,	PUNCT
ijassa-1212	316	43	pathj	pathj	NOUN
ijassa-1212	316	44	)	)	PUNCT
ijassa-1212	316	45	=	=	SYM
ijassa-1212	316	46	1	1	X
ijassa-1212	316	47	.	.	X
ijassa-1212	316	48	ranking	rank	VERB
ijassa-1212	316	49	on	on	ADP
ijassa-1212	316	50	the	the	DET
ijassa-1212	316	51	second	second	ADJ
ijassa-1212	316	52	coordinate	coordinate	NOUN
ijassa-1212	316	53	is	be	AUX
ijassa-1212	316	54	done	do	VERB
ijassa-1212	316	55	to	to	PART
ijassa-1212	316	56	avoid	avoid	VERB
ijassa-1212	316	57	the	the	DET
ijassa-1212	316	58	copyright	copyright	NOUN
ijassa-1212	316	59	©	©	ADP
ijassa-1212	316	60	2022	2022	NUM
ijassa-1212	316	61	assa	assa	NOUN
ijassa-1212	316	62	.	.	PUNCT
ijassa-1212	317	1	adv	adv	PROPN
ijassa-1212	317	2	syst	syst	PROPN
ijassa-1212	317	3	sci	sci	PROPN
ijassa-1212	317	4	appl	appl	PROPN
ijassa-1212	317	5	(	(	PUNCT
ijassa-1212	317	6	2022	2022	NUM
ijassa-1212	317	7	)	)	PUNCT
ijassa-1212	317	8	58	58	NUM
ijassa-1212	317	9	l.	l.	NOUN
ijassa-1212	317	10	zhilyakova	zhilyakova	PROPN
ijassa-1212	317	11	,	,	PUNCT
ijassa-1212	317	12	v.	v.	ADP
ijassa-1212	317	13	koreshkov	koreshkov	PROPN
ijassa-1212	317	14	(	(	PUNCT
ijassa-1212	317	15	a	a	NOUN
ijassa-1212	317	16	)	)	PUNCT
ijassa-1212	317	17	(	(	PUNCT
ijassa-1212	317	18	b	b	X
ijassa-1212	317	19	)	)	PUNCT
ijassa-1212	317	20	(	(	PUNCT
ijassa-1212	317	21	c	c	X
ijassa-1212	317	22	)	)	PUNCT
ijassa-1212	317	23	(	(	PUNCT
ijassa-1212	317	24	d	d	X
ijassa-1212	317	25	)	)	PUNCT
ijassa-1212	317	26	fig	fig	NOUN
ijassa-1212	317	27	.	.	PUNCT
ijassa-1212	318	1	4.10	4.10	NUM
ijassa-1212	318	2	.	.	PUNCT
ijassa-1212	319	1	construction	construction	NOUN
ijassa-1212	319	2	of	of	ADP
ijassa-1212	319	3	a	a	DET
ijassa-1212	319	4	three	three	NUM
ijassa-1212	319	5	-	-	PUNCT
ijassa-1212	319	6	layer	layer	NOUN
ijassa-1212	319	7	graph	graph	NOUN
ijassa-1212	319	8	and	and	CCONJ
ijassa-1212	319	9	two	two	NUM
ijassa-1212	319	10	situations	situation	NOUN
ijassa-1212	319	11	of	of	ADP
ijassa-1212	319	12	possible	possible	ADJ
ijassa-1212	319	13	locomotive	locomotive	ADJ
ijassa-1212	319	14	assignments	assignment	NOUN
ijassa-1212	319	15	:	:	PUNCT
ijassa-1212	319	16	(	(	PUNCT
ijassa-1212	319	17	a	a	X
ijassa-1212	319	18	)	)	PUNCT
ijassa-1212	319	19	the	the	DET
ijassa-1212	319	20	three	three	NUM
ijassa-1212	319	21	-	-	PUNCT
ijassa-1212	319	22	layer	layer	NOUN
ijassa-1212	319	23	graph	graph	NOUN
ijassa-1212	319	24	;	;	PUNCT
ijassa-1212	319	25	the	the	DET
ijassa-1212	319	26	middle	middle	ADJ
ijassa-1212	319	27	layer	layer	NOUN
ijassa-1212	319	28	is	be	AUX
ijassa-1212	319	29	the	the	DET
ijassa-1212	319	30	condensation	condensation	NOUN
ijassa-1212	319	31	of	of	ADP
ijassa-1212	319	32	the	the	DET
ijassa-1212	319	33	paths	path	NOUN
ijassa-1212	319	34	;	;	PUNCT
ijassa-1212	319	35	(	(	PUNCT
ijassa-1212	319	36	b	b	X
ijassa-1212	319	37	)	)	PUNCT
ijassa-1212	319	38	arcs	arc	NOUN
ijassa-1212	319	39	symmetrical	symmetrical	ADJ
ijassa-1212	319	40	with	with	ADP
ijassa-1212	319	41	respect	respect	NOUN
ijassa-1212	319	42	to	to	ADP
ijassa-1212	319	43	the	the	DET
ijassa-1212	319	44	middle	middle	ADJ
ijassa-1212	319	45	layer	layer	NOUN
ijassa-1212	319	46	;	;	PUNCT
ijassa-1212	319	47	solution	solution	NOUN
ijassa-1212	319	48	does	do	AUX
ijassa-1212	319	49	not	not	PART
ijassa-1212	319	50	exist	exist	VERB
ijassa-1212	319	51	;	;	PUNCT
ijassa-1212	319	52	(	(	PUNCT
ijassa-1212	319	53	c	c	X
ijassa-1212	319	54	)	)	PUNCT
ijassa-1212	319	55	another	another	DET
ijassa-1212	319	56	possible	possible	ADJ
ijassa-1212	319	57	situation	situation	NOUN
ijassa-1212	319	58	of	of	ADP
ijassa-1212	319	59	matching	match	VERB
ijassa-1212	319	60	paths	path	NOUN
ijassa-1212	319	61	and	and	CCONJ
ijassa-1212	319	62	locomotives	locomotive	NOUN
ijassa-1212	319	63	;	;	PUNCT
ijassa-1212	319	64	invalid	invalid	ADJ
ijassa-1212	319	65	assignment	assignment	NOUN
ijassa-1212	319	66	of	of	ADP
ijassa-1212	319	67	the	the	DET
ijassa-1212	319	68	red	red	ADJ
ijassa-1212	319	69	locomotive	locomotive	NOUN
ijassa-1212	319	70	;	;	PUNCT
ijassa-1212	319	71	(	(	PUNCT
ijassa-1212	319	72	d	d	X
ijassa-1212	319	73	)	)	PUNCT
ijassa-1212	319	74	the	the	DET
ijassa-1212	319	75	symmetric	symmetric	ADJ
ijassa-1212	319	76	arcs	arc	NOUN
ijassa-1212	319	77	and	and	CCONJ
ijassa-1212	319	78	the	the	DET
ijassa-1212	319	79	found	find	VERB
ijassa-1212	319	80	solution	solution	NOUN
ijassa-1212	319	81	changeover	changeover	NOUN
ijassa-1212	319	82	operation	operation	NOUN
ijassa-1212	319	83	,	,	PUNCT
ijassa-1212	319	84	since	since	SCONJ
ijassa-1212	319	85	it	it	PRON
ijassa-1212	319	86	may	may	AUX
ijassa-1212	319	87	increase	increase	VERB
ijassa-1212	319	88	the	the	DET
ijassa-1212	319	89	number	number	NOUN
ijassa-1212	319	90	of	of	ADP
ijassa-1212	319	91	paths	path	NOUN
ijassa-1212	319	92	in	in	ADP
ijassa-1212	319	93	the	the	DET
ijassa-1212	319	94	minimal	minimal	ADJ
ijassa-1212	319	95	cover	cover	NOUN
ijassa-1212	319	96	(	(	PUNCT
ijassa-1212	319	97	fig	fig	NOUN
ijassa-1212	319	98	.	.	PUNCT
ijassa-1212	319	99	4.8	4.8	NUM
ijassa-1212	319	100	)	)	PUNCT
ijassa-1212	319	101	.	.	PUNCT
ijassa-1212	320	1	take	take	VERB
ijassa-1212	320	2	as	as	ADP
ijassa-1212	320	3	pathj	pathj	NOUN
ijassa-1212	320	4	the	the	DET
ijassa-1212	320	5	first	first	ADJ
ijassa-1212	320	6	path	path	NOUN
ijassa-1212	320	7	from	from	ADP
ijassa-1212	320	8	the	the	DET
ijassa-1212	320	9	list	list	NOUN
ijassa-1212	320	10	.	.	PUNCT
ijassa-1212	321	1	6	6	X
ijassa-1212	321	2	.	.	X
ijassa-1212	321	3	if	if	SCONJ
ijassa-1212	321	4	d1(pathi	d1(pathi	NOUN
ijassa-1212	321	5	,	,	PUNCT
ijassa-1212	321	6	pathj	pathj	NOUN
ijassa-1212	321	7	)	)	PUNCT
ijassa-1212	321	8	=	=	SYM
ijassa-1212	321	9	1	1	NUM
ijassa-1212	321	10	and	and	CCONJ
ijassa-1212	321	11	d2(pathi	d2(pathi	NUM
ijassa-1212	321	12	,	,	PUNCT
ijassa-1212	321	13	pathj	pathj	NOUN
ijassa-1212	321	14	)	)	PUNCT
ijassa-1212	321	15	=	=	SYM
ijassa-1212	321	16	0	0	NUM
ijassa-1212	321	17	,	,	PUNCT
ijassa-1212	321	18	then	then	ADV
ijassa-1212	321	19	a	a	DET
ijassa-1212	321	20	single	single	ADJ
ijassa-1212	321	21	k	k	NOUN
ijassa-1212	321	22	-	-	PUNCT
ijassa-1212	321	23	crossover	crossover	NOUN
ijassa-1212	321	24	is	be	AUX
ijassa-1212	321	25	needed	need	VERB
ijassa-1212	321	26	.	.	PUNCT
ijassa-1212	322	1	if	if	SCONJ
ijassa-1212	322	2	crossover	crossover	NOUN
ijassa-1212	322	3	is	be	AUX
ijassa-1212	322	4	simple	simple	ADJ
ijassa-1212	322	5	(	(	PUNCT
ijassa-1212	322	6	k	k	NOUN
ijassa-1212	322	7	=	=	SYM
ijassa-1212	322	8	2	2	NUM
ijassa-1212	322	9	)	)	PUNCT
ijassa-1212	322	10	.	.	PUNCT
ijassa-1212	323	1	•	•	NOUN
ijassa-1212	323	2	if	if	SCONJ
ijassa-1212	323	3	pathj	pathj	NOUN
ijassa-1212	323	4	assigned	assign	VERB
ijassa-1212	323	5	to	to	ADP
ijassa-1212	323	6	a	a	DET
ijassa-1212	323	7	locomotive	locomotive	NOUN
ijassa-1212	323	8	with	with	ADP
ijassa-1212	323	9	constraints	constraint	NOUN
ijassa-1212	323	10	and	and	CCONJ
ijassa-1212	323	11	the	the	DET
ijassa-1212	323	12	crossover	crossover	NOUN
ijassa-1212	323	13	makes	make	VERB
ijassa-1212	323	14	this	this	DET
ijassa-1212	323	15	path	path	NOUN
ijassa-1212	323	16	invalid	invalid	ADJ
ijassa-1212	323	17	then	then	ADV
ijassa-1212	323	18	delete	delete	ADJ
ijassa-1212	323	19	pathj	pathj	NOUN
ijassa-1212	323	20	from	from	ADP
ijassa-1212	323	21	the	the	DET
ijassa-1212	323	22	list	list	NOUN
ijassa-1212	323	23	;	;	PUNCT
ijassa-1212	323	24	if	if	SCONJ
ijassa-1212	323	25	there	there	PRON
ijassa-1212	323	26	are	be	VERB
ijassa-1212	323	27	other	other	ADJ
ijassa-1212	323	28	crossover	crossover	NOUN
ijassa-1212	323	29	candidates	candidate	NOUN
ijassa-1212	323	30	,	,	PUNCT
ijassa-1212	323	31	go	go	VERB
ijassa-1212	323	32	to	to	PART
ijassa-1212	323	33	step	step	VERB
ijassa-1212	323	34	5	5	NUM
ijassa-1212	323	35	,	,	PUNCT
ijassa-1212	323	36	else	else	ADV
ijassa-1212	323	37	to	to	PART
ijassa-1212	323	38	step	step	VERB
ijassa-1212	323	39	3	3	NUM
ijassa-1212	323	40	(	(	PUNCT
ijassa-1212	323	41	in	in	ADP
ijassa-1212	323	42	this	this	DET
ijassa-1212	323	43	case	case	NOUN
ijassa-1212	323	44	,	,	PUNCT
ijassa-1212	323	45	there	there	PRON
ijassa-1212	323	46	is	be	VERB
ijassa-1212	323	47	no	no	DET
ijassa-1212	323	48	valid	valid	ADJ
ijassa-1212	323	49	cover	cover	NOUN
ijassa-1212	323	50	,	,	PUNCT
ijassa-1212	323	51	however	however	ADV
ijassa-1212	323	52	,	,	PUNCT
ijassa-1212	323	53	we	we	PRON
ijassa-1212	323	54	will	will	AUX
ijassa-1212	323	55	improve	improve	VERB
ijassa-1212	323	56	the	the	DET
ijassa-1212	323	57	cover	cover	NOUN
ijassa-1212	323	58	as	as	ADV
ijassa-1212	323	59	long	long	ADV
ijassa-1212	323	60	as	as	ADP
ijassa-1212	323	61	possible	possible	ADJ
ijassa-1212	323	62	)	)	PUNCT
ijassa-1212	323	63	.	.	PUNCT
ijassa-1212	324	1	•	•	NUM
ijassa-1212	324	2	otherwise	otherwise	ADV
ijassa-1212	324	3	,	,	PUNCT
ijassa-1212	324	4	perform	perform	VERB
ijassa-1212	324	5	a	a	DET
ijassa-1212	324	6	2	2	NUM
ijassa-1212	324	7	-	-	PUNCT
ijassa-1212	324	8	crossover	crossover	NOUN
ijassa-1212	324	9	between	between	ADP
ijassa-1212	324	10	paths	path	NOUN
ijassa-1212	324	11	pathi	pathi	PROPN
ijassa-1212	324	12	,	,	PUNCT
ijassa-1212	324	13	pathj	pathj	NOUN
ijassa-1212	324	14	on	on	ADP
ijassa-1212	324	15	corresponding	correspond	VERB
ijassa-1212	324	16	layers	layer	NOUN
ijassa-1212	324	17	.	.	PUNCT
ijassa-1212	325	1	•	•	INTJ
ijassa-1212	325	2	if	if	SCONJ
ijassa-1212	325	3	there	there	PRON
ijassa-1212	325	4	are	be	VERB
ijassa-1212	325	5	other	other	ADJ
ijassa-1212	325	6	invalid	invalid	ADJ
ijassa-1212	325	7	paths	path	NOUN
ijassa-1212	325	8	,	,	PUNCT
ijassa-1212	325	9	go	go	VERB
ijassa-1212	325	10	to	to	PART
ijassa-1212	325	11	step	step	VERB
ijassa-1212	325	12	3	3	NUM
ijassa-1212	325	13	;	;	PUNCT
ijassa-1212	325	14	otherwise	otherwise	ADV
ijassa-1212	325	15	a	a	DET
ijassa-1212	325	16	valid	valid	ADJ
ijassa-1212	325	17	cover	cover	NOUN
ijassa-1212	325	18	is	be	AUX
ijassa-1212	325	19	found	find	VERB
ijassa-1212	325	20	,	,	PUNCT
ijassa-1212	325	21	exit	exit	NOUN
ijassa-1212	325	22	.	.	PUNCT
ijassa-1212	326	1	if	if	SCONJ
ijassa-1212	326	2	k	k	PROPN
ijassa-1212	326	3	>	>	X
ijassa-1212	326	4	2	2	NUM
ijassa-1212	326	5	.	.	X
ijassa-1212	326	6	•	•	NOUN
ijassa-1212	326	7	if	if	SCONJ
ijassa-1212	326	8	all	all	DET
ijassa-1212	326	9	the	the	DET
ijassa-1212	326	10	paths	path	NOUN
ijassa-1212	326	11	included	include	VERB
ijassa-1212	326	12	in	in	ADP
ijassa-1212	326	13	the	the	DET
ijassa-1212	326	14	k	k	PROPN
ijassa-1212	326	15	crossover	crossover	NOUN
ijassa-1212	326	16	,	,	PUNCT
ijassa-1212	326	17	except	except	SCONJ
ijassa-1212	326	18	pathi	pathi	PROPN
ijassa-1212	326	19	,	,	PUNCT
ijassa-1212	326	20	have	have	VERB
ijassa-1212	326	21	locomotives	locomotive	NOUN
ijassa-1212	326	22	without	without	ADP
ijassa-1212	326	23	constraints	constraint	NOUN
ijassa-1212	326	24	,	,	PUNCT
ijassa-1212	326	25	make	make	VERB
ijassa-1212	326	26	a	a	DET
ijassa-1212	326	27	k	k	NOUN
ijassa-1212	326	28	-	-	PUNCT
ijassa-1212	326	29	crossover	crossover	NOUN
ijassa-1212	326	30	;	;	PUNCT
ijassa-1212	326	31	if	if	SCONJ
ijassa-1212	326	32	there	there	PRON
ijassa-1212	326	33	are	be	VERB
ijassa-1212	326	34	other	other	ADJ
ijassa-1212	326	35	invalid	invalid	ADJ
ijassa-1212	326	36	paths	path	NOUN
ijassa-1212	326	37	,	,	PUNCT
ijassa-1212	326	38	go	go	VERB
ijassa-1212	326	39	to	to	PART
ijassa-1212	326	40	step	step	VERB
ijassa-1212	326	41	3	3	NUM
ijassa-1212	326	42	;	;	PUNCT
ijassa-1212	326	43	otherwise	otherwise	ADV
ijassa-1212	326	44	,	,	PUNCT
ijassa-1212	326	45	a	a	DET
ijassa-1212	326	46	valid	valid	ADJ
ijassa-1212	326	47	cover	cover	NOUN
ijassa-1212	326	48	is	be	AUX
ijassa-1212	326	49	found	find	VERB
ijassa-1212	326	50	,	,	PUNCT
ijassa-1212	326	51	exit	exit	NOUN
ijassa-1212	326	52	.	.	PUNCT
ijassa-1212	327	1	•	•	INTJ
ijassa-1212	327	2	if	if	SCONJ
ijassa-1212	327	3	some	some	PRON
ijassa-1212	327	4	of	of	ADP
ijassa-1212	327	5	the	the	DET
ijassa-1212	327	6	paths	path	NOUN
ijassa-1212	327	7	included	include	VERB
ijassa-1212	327	8	in	in	ADP
ijassa-1212	327	9	the	the	DET
ijassa-1212	327	10	k	k	NOUN
ijassa-1212	327	11	-	-	PUNCT
ijassa-1212	327	12	crossover	crossover	NOUN
ijassa-1212	327	13	,	,	PUNCT
ijassa-1212	327	14	other	other	ADJ
ijassa-1212	327	15	than	than	ADP
ijassa-1212	327	16	pathi	pathi	PROPN
ijassa-1212	327	17	,	,	PUNCT
ijassa-1212	327	18	assigned	assign	VERB
ijassa-1212	327	19	to	to	ADP
ijassa-1212	327	20	locomotives	locomotive	NOUN
ijassa-1212	327	21	with	with	ADP
ijassa-1212	327	22	constraints	constraint	NOUN
ijassa-1212	327	23	,	,	PUNCT
ijassa-1212	327	24	and	and	CCONJ
ijassa-1212	327	25	the	the	DET
ijassa-1212	327	26	crossover	crossover	NOUN
ijassa-1212	327	27	makes	make	VERB
ijassa-1212	327	28	at	at	ADP
ijassa-1212	327	29	least	least	ADJ
ijassa-1212	327	30	one	one	NUM
ijassa-1212	327	31	of	of	ADP
ijassa-1212	327	32	the	the	DET
ijassa-1212	327	33	new	new	ADJ
ijassa-1212	327	34	paths	path	NOUN
ijassa-1212	327	35	pathj	pathj	VERB
ijassa-1212	327	36	invalid	invalid	ADJ
ijassa-1212	327	37	,	,	PUNCT
ijassa-1212	327	38	remove	remove	VERB
ijassa-1212	327	39	pathj	pathj	NOUN
ijassa-1212	327	40	from	from	ADP
ijassa-1212	327	41	the	the	DET
ijassa-1212	327	42	list	list	NOUN
ijassa-1212	327	43	of	of	ADP
ijassa-1212	327	44	candidates	candidate	NOUN
ijassa-1212	327	45	for	for	ADP
ijassa-1212	327	46	exchange	exchange	NOUN
ijassa-1212	327	47	;	;	PUNCT
ijassa-1212	327	48	if	if	SCONJ
ijassa-1212	327	49	there	there	PRON
ijassa-1212	327	50	are	be	VERB
ijassa-1212	327	51	other	other	ADJ
ijassa-1212	327	52	candidates	candidate	NOUN
ijassa-1212	327	53	for	for	ADP
ijassa-1212	327	54	exchange	exchange	NOUN
ijassa-1212	327	55	,	,	PUNCT
ijassa-1212	327	56	go	go	VERB
ijassa-1212	327	57	to	to	PART
ijassa-1212	327	58	step	step	VERB
ijassa-1212	327	59	5	5	NUM
ijassa-1212	327	60	.	.	NOUN
ijassa-1212	328	1	•	•	NOUN
ijassa-1212	328	2	if	if	SCONJ
ijassa-1212	328	3	we	we	PRON
ijassa-1212	328	4	have	have	AUX
ijassa-1212	328	5	iterated	iterate	VERB
ijassa-1212	328	6	over	over	ADP
ijassa-1212	328	7	all	all	DET
ijassa-1212	328	8	candidate	candidate	NOUN
ijassa-1212	328	9	paths	path	NOUN
ijassa-1212	328	10	,	,	PUNCT
ijassa-1212	328	11	go	go	VERB
ijassa-1212	328	12	to	to	PART
ijassa-1212	328	13	step	step	VERB
ijassa-1212	328	14	3	3	NUM
ijassa-1212	328	15	.	.	NOUN
ijassa-1212	329	1	7	7	NUM
ijassa-1212	329	2	.	.	X
ijassa-1212	330	1	if	if	SCONJ
ijassa-1212	330	2	1	1	NUM
ijassa-1212	330	3	<	<	X
ijassa-1212	330	4	d1(pathi	d1(pathi	ADJ
ijassa-1212	330	5	,	,	PUNCT
ijassa-1212	330	6	pathj	pathj	NOUN
ijassa-1212	330	7	)	)	PUNCT
ijassa-1212	330	8	<	<	X
ijassa-1212	330	9	∞	∞	NUM
ijassa-1212	330	10	and	and	CCONJ
ijassa-1212	330	11	d2(pathi	d2(pathi	NOUN
ijassa-1212	330	12	,	,	PUNCT
ijassa-1212	330	13	pathj	pathj	NOUN
ijassa-1212	330	14	)	)	PUNCT
ijassa-1212	330	15	=	=	SYM
ijassa-1212	330	16	0	0	NUM
ijassa-1212	330	17	find	find	VERB
ijassa-1212	330	18	a	a	DET
ijassa-1212	330	19	path	path	NOUN
ijassa-1212	330	20	connecting	connect	VERB
ijassa-1212	330	21	the	the	DET
ijassa-1212	330	22	beginning	beginning	NOUN
ijassa-1212	330	23	of	of	ADP
ijassa-1212	330	24	pathi	pathi	PROPN
ijassa-1212	330	25	with	with	ADP
ijassa-1212	330	26	the	the	DET
ijassa-1212	330	27	end	end	NOUN
ijassa-1212	330	28	part	part	NOUN
ijassa-1212	330	29	of	of	ADP
ijassa-1212	330	30	pathj	pathj	NOUN
ijassa-1212	330	31	.	.	PUNCT
ijassa-1212	331	1	carry	carry	VERB
ijassa-1212	331	2	out	out	ADP
ijassa-1212	331	3	d1	d1	PROPN
ijassa-1212	331	4	successive	successive	ADJ
ijassa-1212	331	5	crossovers	crossover	NOUN
ijassa-1212	331	6	so	so	SCONJ
ijassa-1212	331	7	that	that	SCONJ
ijassa-1212	331	8	each	each	PRON
ijassa-1212	331	9	of	of	ADP
ijassa-1212	331	10	them	they	PRON
ijassa-1212	331	11	contains	contain	VERB
ijassa-1212	331	12	one	one	NUM
ijassa-1212	331	13	arc	arc	NOUN
ijassa-1212	331	14	from	from	ADP
ijassa-1212	331	15	the	the	DET
ijassa-1212	331	16	found	find	VERB
ijassa-1212	331	17	path	path	NOUN
ijassa-1212	331	18	by	by	ADP
ijassa-1212	331	19	performing	perform	VERB
ijassa-1212	331	20	step	step	NOUN
ijassa-1212	331	21	6	6	NUM
ijassa-1212	331	22	d1	d1	PROPN
ijassa-1212	331	23	times	time	NOUN
ijassa-1212	331	24	.	.	PUNCT
ijassa-1212	332	1	copyright	copyright	NOUN
ijassa-1212	332	2	©	©	PROPN
ijassa-1212	332	3	2022	2022	NUM
ijassa-1212	332	4	assa	assa	NOUN
ijassa-1212	332	5	.	.	PUNCT
ijassa-1212	333	1	adv	adv	PROPN
ijassa-1212	333	2	syst	syst	PROPN
ijassa-1212	333	3	sci	sci	PROPN
ijassa-1212	333	4	appl	appl	PROPN
ijassa-1212	333	5	(	(	PUNCT
ijassa-1212	333	6	2022	2022	NUM
ijassa-1212	333	7	)	)	PUNCT
ijassa-1212	333	8	graph	graph	NOUN
ijassa-1212	333	9	methods	method	NOUN
ijassa-1212	333	10	for	for	ADP
ijassa-1212	333	11	improving	improve	VERB
ijassa-1212	333	12	the	the	DET
ijassa-1212	333	13	invalid	invalid	ADJ
ijassa-1212	333	14	solution	solution	NOUN
ijassa-1212	333	15	of	of	ADP
ijassa-1212	333	16	the	the	DET
ijassa-1212	333	17	locomotive	locomotive	NOUN
ijassa-1212	333	18	...	...	PUNCT
ijassa-1212	333	19	59	59	NUM
ijassa-1212	333	20	if	if	SCONJ
ijassa-1212	333	21	there	there	PRON
ijassa-1212	333	22	are	be	VERB
ijassa-1212	333	23	other	other	ADJ
ijassa-1212	333	24	invalid	invalid	ADJ
ijassa-1212	333	25	paths	path	NOUN
ijassa-1212	333	26	,	,	PUNCT
ijassa-1212	333	27	go	go	VERB
ijassa-1212	333	28	to	to	PART
ijassa-1212	333	29	step	step	VERB
ijassa-1212	333	30	3	3	NUM
ijassa-1212	333	31	;	;	PUNCT
ijassa-1212	333	32	otherwise	otherwise	ADV
ijassa-1212	333	33	,	,	PUNCT
ijassa-1212	333	34	a	a	DET
ijassa-1212	333	35	valid	valid	ADJ
ijassa-1212	333	36	cover	cover	NOUN
ijassa-1212	333	37	is	be	AUX
ijassa-1212	333	38	found	find	VERB
ijassa-1212	333	39	,	,	PUNCT
ijassa-1212	333	40	exit	exit	NOUN
ijassa-1212	333	41	.	.	PUNCT
ijassa-1212	334	1	8	8	X
ijassa-1212	334	2	.	.	PUNCT
ijassa-1212	335	1	if	if	SCONJ
ijassa-1212	335	2	d2(pathi	d2(pathi	NOUN
ijassa-1212	335	3	,	,	PUNCT
ijassa-1212	335	4	pathj	pathj	NOUN
ijassa-1212	335	5	)	)	PUNCT
ijassa-1212	335	6	=	=	SYM
ijassa-1212	335	7	1	1	X
ijassa-1212	335	8	.	.	NOUN
ijassa-1212	335	9	•	•	NUM
ijassa-1212	335	10	find	find	VERB
ijassa-1212	335	11	a	a	DET
ijassa-1212	335	12	path	path	NOUN
ijassa-1212	335	13	connecting	connect	VERB
ijassa-1212	335	14	the	the	DET
ijassa-1212	335	15	beginning	beginning	NOUN
ijassa-1212	335	16	of	of	ADP
ijassa-1212	335	17	the	the	DET
ijassa-1212	335	18	path	path	NOUN
ijassa-1212	335	19	pathi	pathi	PROPN
ijassa-1212	335	20	with	with	ADP
ijassa-1212	335	21	the	the	DET
ijassa-1212	335	22	final	final	ADJ
ijassa-1212	335	23	part	part	NOUN
ijassa-1212	335	24	of	of	ADP
ijassa-1212	335	25	path	path	NOUN
ijassa-1212	335	26	pathj	pathj	NOUN
ijassa-1212	335	27	.	.	PUNCT
ijassa-1212	336	1	perform	perform	VERB
ijassa-1212	336	2	d1	d1	ADJ
ijassa-1212	336	3	crossovers	crossover	NOUN
ijassa-1212	336	4	in	in	ADP
ijassa-1212	336	5	accordance	accordance	NOUN
ijassa-1212	336	6	with	with	ADP
ijassa-1212	336	7	steps	step	NOUN
ijassa-1212	336	8	6	6	NUM
ijassa-1212	336	9	and	and	CCONJ
ijassa-1212	336	10	7	7	NUM
ijassa-1212	336	11	.	.	NOUN
ijassa-1212	336	12	•	•	NUM
ijassa-1212	336	13	make	make	VERB
ijassa-1212	336	14	the	the	DET
ijassa-1212	336	15	changeover	changeover	NOUN
ijassa-1212	336	16	.	.	PUNCT
ijassa-1212	337	1	•	•	NUM
ijassa-1212	337	2	check	check	VERB
ijassa-1212	337	3	if	if	SCONJ
ijassa-1212	337	4	co	co	NOUN
ijassa-1212	337	5	-	-	NOUN
ijassa-1212	337	6	changeover	changeover	NOUN
ijassa-1212	337	7	exists	exist	VERB
ijassa-1212	337	8	.	.	PUNCT
ijassa-1212	338	1	•	•	INTJ
ijassa-1212	338	2	if	if	SCONJ
ijassa-1212	338	3	co	co	NOUN
ijassa-1212	338	4	-	-	NOUN
ijassa-1212	338	5	changeover	changeover	NOUN
ijassa-1212	338	6	exists	exist	VERB
ijassa-1212	338	7	,	,	PUNCT
ijassa-1212	338	8	make	make	VERB
ijassa-1212	338	9	it	it	PRON
ijassa-1212	338	10	.	.	PUNCT
ijassa-1212	339	1	if	if	SCONJ
ijassa-1212	339	2	there	there	PRON
ijassa-1212	339	3	are	be	VERB
ijassa-1212	339	4	other	other	ADJ
ijassa-1212	339	5	invalid	invalid	ADJ
ijassa-1212	339	6	paths	path	NOUN
ijassa-1212	339	7	,	,	PUNCT
ijassa-1212	339	8	go	go	VERB
ijassa-1212	339	9	to	to	PART
ijassa-1212	339	10	step	step	VERB
ijassa-1212	339	11	3	3	NUM
ijassa-1212	339	12	;	;	PUNCT
ijassa-1212	339	13	otherwise	otherwise	ADV
ijassa-1212	339	14	a	a	DET
ijassa-1212	339	15	valid	valid	ADJ
ijassa-1212	339	16	cover	cover	NOUN
ijassa-1212	339	17	is	be	AUX
ijassa-1212	339	18	found	find	VERB
ijassa-1212	339	19	,	,	PUNCT
ijassa-1212	339	20	exit	exit	NOUN
ijassa-1212	339	21	.	.	PUNCT
ijassa-1212	340	1	•	•	INTJ
ijassa-1212	340	2	if	if	SCONJ
ijassa-1212	340	3	no	no	DET
ijassa-1212	340	4	co	co	NOUN
ijassa-1212	340	5	-	-	NOUN
ijassa-1212	340	6	changeover	changeover	NOUN
ijassa-1212	340	7	exists	exist	VERB
ijassa-1212	340	8	,	,	PUNCT
ijassa-1212	340	9	check	check	VERB
ijassa-1212	340	10	if	if	SCONJ
ijassa-1212	340	11	there	there	PRON
ijassa-1212	340	12	is	be	VERB
ijassa-1212	340	13	an	an	DET
ijassa-1212	340	14	available	available	ADJ
ijassa-1212	340	15	locomotive	locomotive	NOUN
ijassa-1212	340	16	for	for	ADP
ijassa-1212	340	17	the	the	DET
ijassa-1212	340	18	path	path	NOUN
ijassa-1212	340	19	resulting	result	VERB
ijassa-1212	340	20	from	from	ADP
ijassa-1212	340	21	the	the	DET
ijassa-1212	340	22	changeover	changeover	NOUN
ijassa-1212	340	23	.	.	PUNCT
ijassa-1212	341	1	•	•	INTJ
ijassa-1212	341	2	if	if	SCONJ
ijassa-1212	341	3	the	the	DET
ijassa-1212	341	4	locomotive	locomotive	NOUN
ijassa-1212	341	5	exists	exist	VERB
ijassa-1212	341	6	,	,	PUNCT
ijassa-1212	341	7	assign	assign	VERB
ijassa-1212	341	8	it	it	PRON
ijassa-1212	341	9	.	.	PUNCT
ijassa-1212	342	1	if	if	SCONJ
ijassa-1212	342	2	there	there	PRON
ijassa-1212	342	3	are	be	VERB
ijassa-1212	342	4	other	other	ADJ
ijassa-1212	342	5	invalid	invalid	ADJ
ijassa-1212	342	6	paths	path	NOUN
ijassa-1212	342	7	,	,	PUNCT
ijassa-1212	342	8	go	go	VERB
ijassa-1212	342	9	to	to	PART
ijassa-1212	342	10	step	step	VERB
ijassa-1212	342	11	3	3	NUM
ijassa-1212	342	12	;	;	PUNCT
ijassa-1212	342	13	otherwise	otherwise	ADV
ijassa-1212	342	14	a	a	DET
ijassa-1212	342	15	valid	valid	ADJ
ijassa-1212	342	16	cover	cover	NOUN
ijassa-1212	342	17	is	be	AUX
ijassa-1212	342	18	found	find	VERB
ijassa-1212	342	19	,	,	PUNCT
ijassa-1212	342	20	exit	exit	NOUN
ijassa-1212	342	21	.	.	PUNCT
ijassa-1212	343	1	9	9	X
ijassa-1212	343	2	.	.	X
ijassa-1212	343	3	there	there	PRON
ijassa-1212	343	4	is	be	VERB
ijassa-1212	343	5	no	no	DET
ijassa-1212	343	6	complete	complete	ADJ
ijassa-1212	343	7	valid	valid	ADJ
ijassa-1212	343	8	cover	cover	NOUN
ijassa-1212	343	9	.	.	PUNCT
ijassa-1212	344	1	the	the	DET
ijassa-1212	344	2	found	find	VERB
ijassa-1212	344	3	cover	cover	NOUN
ijassa-1212	344	4	has	have	AUX
ijassa-1212	344	5	been	be	AUX
ijassa-1212	344	6	improved	improve	VERB
ijassa-1212	344	7	as	as	ADV
ijassa-1212	344	8	much	much	ADV
ijassa-1212	344	9	as	as	ADP
ijassa-1212	344	10	possible	possible	ADJ
ijassa-1212	344	11	.	.	PUNCT
ijassa-1212	345	1	exit	exit	NOUN
ijassa-1212	345	2	.	.	PUNCT
ijassa-1212	346	1	if	if	SCONJ
ijassa-1212	346	2	an	an	DET
ijassa-1212	346	3	invalid	invalid	ADJ
ijassa-1212	346	4	path	path	NOUN
ijassa-1212	346	5	pathi	pathi	PROPN
ijassa-1212	346	6	can	can	AUX
ijassa-1212	346	7	be	be	AUX
ijassa-1212	346	8	corrected	correct	VERB
ijassa-1212	346	9	by	by	ADP
ijassa-1212	346	10	swapping	swap	VERB
ijassa-1212	346	11	homologous	homologous	ADJ
ijassa-1212	346	12	sections	section	NOUN
ijassa-1212	346	13	of	of	ADP
ijassa-1212	346	14	one	one	NUM
ijassa-1212	346	15	or	or	CCONJ
ijassa-1212	346	16	more	more	ADJ
ijassa-1212	346	17	paths	path	NOUN
ijassa-1212	346	18	,	,	PUNCT
ijassa-1212	346	19	it	it	PRON
ijassa-1212	346	20	will	will	AUX
ijassa-1212	346	21	be	be	AUX
ijassa-1212	346	22	corrected	correct	VERB
ijassa-1212	346	23	.	.	PUNCT
ijassa-1212	347	1	the	the	DET
ijassa-1212	347	2	same	same	ADJ
ijassa-1212	347	3	applies	apply	VERB
ijassa-1212	347	4	to	to	ADP
ijassa-1212	347	5	the	the	DET
ijassa-1212	347	6	situation	situation	NOUN
ijassa-1212	347	7	when	when	SCONJ
ijassa-1212	347	8	the	the	DET
ijassa-1212	347	9	ends	end	NOUN
ijassa-1212	347	10	of	of	ADP
ijassa-1212	347	11	the	the	DET
ijassa-1212	347	12	paths	path	NOUN
ijassa-1212	347	13	are	be	AUX
ijassa-1212	347	14	switched	switch	VERB
ijassa-1212	347	15	to	to	ADP
ijassa-1212	347	16	other	other	ADJ
ijassa-1212	347	17	sections	section	NOUN
ijassa-1212	347	18	(	(	PUNCT
ijassa-1212	347	19	changeover	changeover	NOUN
ijassa-1212	347	20	and	and	CCONJ
ijassa-1212	347	21	co	co	NOUN
ijassa-1212	347	22	-	-	NOUN
ijassa-1212	347	23	changeover	changeover	NOUN
ijassa-1212	347	24	)	)	PUNCT
ijassa-1212	347	25	.	.	PUNCT
ijassa-1212	348	1	if	if	SCONJ
ijassa-1212	348	2	such	such	DET
ijassa-1212	348	3	a	a	DET
ijassa-1212	348	4	procedure	procedure	NOUN
ijassa-1212	348	5	can	can	AUX
ijassa-1212	348	6	not	not	PART
ijassa-1212	348	7	be	be	AUX
ijassa-1212	348	8	done	do	VERB
ijassa-1212	348	9	,	,	PUNCT
ijassa-1212	348	10	the	the	DET
ijassa-1212	348	11	algorithm	algorithm	NOUN
ijassa-1212	348	12	switches	switch	VERB
ijassa-1212	348	13	to	to	ADP
ijassa-1212	348	14	another	another	DET
ijassa-1212	348	15	invalid	invalid	ADJ
ijassa-1212	348	16	path	path	NOUN
ijassa-1212	348	17	.	.	PUNCT
ijassa-1212	349	1	after	after	ADP
ijassa-1212	349	2	correcting	correct	VERB
ijassa-1212	349	3	all	all	DET
ijassa-1212	349	4	the	the	DET
ijassa-1212	349	5	other	other	ADJ
ijassa-1212	349	6	invalid	invalid	ADJ
ijassa-1212	349	7	paths	path	NOUN
ijassa-1212	349	8	,	,	PUNCT
ijassa-1212	349	9	the	the	DET
ijassa-1212	349	10	algorithm	algorithm	NOUN
ijassa-1212	349	11	will	will	AUX
ijassa-1212	349	12	return	return	VERB
ijassa-1212	349	13	to	to	ADP
ijassa-1212	349	14	pathi	pathi	PROPN
ijassa-1212	349	15	again	again	ADV
ijassa-1212	349	16	and	and	CCONJ
ijassa-1212	349	17	will	will	AUX
ijassa-1212	349	18	try	try	VERB
ijassa-1212	349	19	to	to	PART
ijassa-1212	349	20	make	make	VERB
ijassa-1212	349	21	a	a	DET
ijassa-1212	349	22	crossover	crossover	NOUN
ijassa-1212	349	23	or	or	CCONJ
ijassa-1212	349	24	changeover	changeover	NOUN
ijassa-1212	349	25	on	on	ADP
ijassa-1212	349	26	a	a	DET
ijassa-1212	349	27	new	new	ADJ
ijassa-1212	349	28	set	set	NOUN
ijassa-1212	349	29	of	of	ADP
ijassa-1212	349	30	paths	path	NOUN
ijassa-1212	349	31	.	.	PUNCT
ijassa-1212	350	1	this	this	DET
ijassa-1212	350	2	procedure	procedure	NOUN
ijassa-1212	350	3	is	be	AUX
ijassa-1212	350	4	repeated	repeat	VERB
ijassa-1212	350	5	until	until	SCONJ
ijassa-1212	350	6	all	all	DET
ijassa-1212	350	7	possibilities	possibility	NOUN
ijassa-1212	350	8	to	to	PART
ijassa-1212	350	9	correct	correct	VERB
ijassa-1212	350	10	the	the	DET
ijassa-1212	350	11	paths	path	NOUN
ijassa-1212	350	12	are	be	AUX
ijassa-1212	350	13	exhausted	exhaust	VERB
ijassa-1212	350	14	.	.	PUNCT
ijassa-1212	351	1	fig	fig	NOUN
ijassa-1212	351	2	.	.	PUNCT
ijassa-1212	352	1	4.11	4.11	NUM
ijassa-1212	352	2	illustrates	illustrate	VERB
ijassa-1212	352	3	the	the	DET
ijassa-1212	352	4	operation	operation	NOUN
ijassa-1212	352	5	of	of	ADP
ijassa-1212	352	6	the	the	DET
ijassa-1212	352	7	algorithm	algorithm	NOUN
ijassa-1212	352	8	in	in	ADP
ijassa-1212	352	9	the	the	DET
ijassa-1212	352	10	case	case	NOUN
ijassa-1212	352	11	of	of	ADP
ijassa-1212	352	12	d1	d1	PROPN
ijassa-1212	352	13	=	=	SYM
ijassa-1212	352	14	1	1	NUM
ijassa-1212	352	15	,	,	PUNCT
ijassa-1212	352	16	d2	d2	PROPN
ijassa-1212	352	17	=	=	SYM
ijassa-1212	352	18	0	0	PROPN
ijassa-1212	352	19	,	,	PUNCT
ijassa-1212	352	20	k	k	NOUN
ijassa-1212	352	21	=	=	SYM
ijassa-1212	352	22	2	2	X
ijassa-1212	352	23	.	.	X
ijassa-1212	352	24	we	we	PRON
ijassa-1212	352	25	find	find	VERB
ijassa-1212	352	26	a	a	DET
ijassa-1212	352	27	biclique	biclique	NOUN
ijassa-1212	352	28	in	in	ADP
ijassa-1212	352	29	a	a	DET
ijassa-1212	352	30	bipartite	bipartite	ADJ
ijassa-1212	352	31	graph	graph	NOUN
ijassa-1212	352	32	between	between	ADP
ijassa-1212	352	33	a	a	DET
ijassa-1212	352	34	pair	pair	NOUN
ijassa-1212	352	35	of	of	ADP
ijassa-1212	352	36	adjacent	adjacent	ADJ
ijassa-1212	352	37	layers	layer	NOUN
ijassa-1212	352	38	and	and	CCONJ
ijassa-1212	352	39	perform	perform	VERB
ijassa-1212	352	40	a	a	DET
ijassa-1212	352	41	crossover	crossover	NOUN
ijassa-1212	352	42	.	.	PUNCT
ijassa-1212	353	1	in	in	ADP
ijassa-1212	353	2	fig	fig	NOUN
ijassa-1212	353	3	.	.	PUNCT
ijassa-1212	354	1	4.11(c	4.11(c	NOUN
ijassa-1212	354	2	)	)	PUNCT
ijassa-1212	355	1	the	the	DET
ijassa-1212	355	2	crossover	crossover	NOUN
ijassa-1212	355	3	has	have	AUX
ijassa-1212	355	4	been	be	AUX
ijassa-1212	355	5	performed	perform	VERB
ijassa-1212	355	6	,	,	PUNCT
ijassa-1212	355	7	in	in	ADP
ijassa-1212	355	8	fig	fig	NOUN
ijassa-1212	355	9	.	.	PUNCT
ijassa-1212	356	1	4.11(d	4.11(d	NUM
ijassa-1212	356	2	)	)	PUNCT
ijassa-1212	357	1	the	the	DET
ijassa-1212	357	2	resulting	result	VERB
ijassa-1212	357	3	valid	valid	ADJ
ijassa-1212	357	4	cover	cover	NOUN
ijassa-1212	357	5	is	be	AUX
ijassa-1212	357	6	shown	show	VERB
ijassa-1212	357	7	.	.	PUNCT
ijassa-1212	358	1	(	(	PUNCT
ijassa-1212	358	2	a	a	X
ijassa-1212	358	3	)	)	PUNCT
ijassa-1212	358	4	(	(	PUNCT
ijassa-1212	358	5	b	b	X
ijassa-1212	358	6	)	)	PUNCT
ijassa-1212	358	7	(	(	PUNCT
ijassa-1212	358	8	c	c	X
ijassa-1212	358	9	)	)	PUNCT
ijassa-1212	358	10	(	(	PUNCT
ijassa-1212	358	11	d	d	X
ijassa-1212	358	12	)	)	PUNCT
ijassa-1212	358	13	fig	fig	NOUN
ijassa-1212	358	14	.	.	PUNCT
ijassa-1212	359	1	4.11	4.11	NUM
ijassa-1212	359	2	.	.	PUNCT
ijassa-1212	360	1	construction	construction	NOUN
ijassa-1212	360	2	of	of	ADP
ijassa-1212	360	3	a	a	DET
ijassa-1212	360	4	valid	valid	ADJ
ijassa-1212	360	5	cover	cover	NOUN
ijassa-1212	360	6	:	:	PUNCT
ijassa-1212	360	7	(	(	PUNCT
ijassa-1212	360	8	a	a	X
ijassa-1212	360	9	)	)	PUNCT
ijassa-1212	360	10	a	a	DET
ijassa-1212	360	11	three	three	NUM
ijassa-1212	360	12	-	-	PUNCT
ijassa-1212	360	13	layer	layer	NOUN
ijassa-1212	360	14	graph	graph	NOUN
ijassa-1212	360	15	for	for	ADP
ijassa-1212	360	16	which	which	PRON
ijassa-1212	360	17	there	there	PRON
ijassa-1212	360	18	is	be	VERB
ijassa-1212	360	19	no	no	DET
ijassa-1212	360	20	valid	valid	ADJ
ijassa-1212	360	21	cover	cover	NOUN
ijassa-1212	360	22	;	;	PUNCT
ijassa-1212	360	23	(	(	PUNCT
ijassa-1212	360	24	b	b	X
ijassa-1212	360	25	)	)	PUNCT
ijassa-1212	360	26	the	the	DET
ijassa-1212	360	27	selected	select	VERB
ijassa-1212	360	28	biclique	biclique	NOUN
ijassa-1212	360	29	;	;	PUNCT
ijassa-1212	360	30	(	(	PUNCT
ijassa-1212	360	31	c	c	X
ijassa-1212	360	32	)	)	PUNCT
ijassa-1212	360	33	crossover	crossover	NOUN
ijassa-1212	360	34	;	;	PUNCT
ijassa-1212	360	35	(	(	PUNCT
ijassa-1212	360	36	d	d	X
ijassa-1212	360	37	)	)	PUNCT
ijassa-1212	360	38	valid	valid	ADJ
ijassa-1212	360	39	cover	cover	NOUN
ijassa-1212	360	40	;	;	PUNCT
ijassa-1212	360	41	paths	path	NOUN
ijassa-1212	360	42	in	in	ADP
ijassa-1212	360	43	it	it	PRON
ijassa-1212	360	44	have	have	AUX
ijassa-1212	360	45	exchanged	exchange	VERB
ijassa-1212	360	46	homologous	homologous	ADJ
ijassa-1212	360	47	sections	section	NOUN
ijassa-1212	360	48	remark	remark	VERB
ijassa-1212	360	49	4.5	4.5	NUM
ijassa-1212	360	50	:	:	PUNCT
ijassa-1212	360	51	since	since	SCONJ
ijassa-1212	360	52	the	the	DET
ijassa-1212	360	53	algorithm	algorithm	NOUN
ijassa-1212	360	54	certainly	certainly	ADV
ijassa-1212	360	55	does	do	AUX
ijassa-1212	360	56	not	not	PART
ijassa-1212	360	57	corrupt	corrupt	VERB
ijassa-1212	360	58	any	any	DET
ijassa-1212	360	59	path	path	NOUN
ijassa-1212	360	60	,	,	PUNCT
ijassa-1212	360	61	it	it	PRON
ijassa-1212	360	62	converges	converge	VERB
ijassa-1212	360	63	.	.	PUNCT
ijassa-1212	361	1	either	either	CCONJ
ijassa-1212	361	2	all	all	DET
ijassa-1212	361	3	the	the	DET
ijassa-1212	361	4	paths	path	NOUN
ijassa-1212	361	5	will	will	AUX
ijassa-1212	361	6	copyright	copyright	VERB
ijassa-1212	361	7	©	©	PROPN
ijassa-1212	361	8	2022	2022	NUM
ijassa-1212	361	9	assa	assa	NOUN
ijassa-1212	361	10	.	.	PUNCT
ijassa-1212	362	1	adv	adv	PROPN
ijassa-1212	362	2	syst	syst	PROPN
ijassa-1212	362	3	sci	sci	PROPN
ijassa-1212	362	4	appl	appl	PROPN
ijassa-1212	362	5	(	(	PUNCT
ijassa-1212	362	6	2022	2022	NUM
ijassa-1212	362	7	)	)	PUNCT
ijassa-1212	362	8	60	60	NUM
ijassa-1212	362	9	l.	l.	PROPN
ijassa-1212	362	10	zhilyakova	zhilyakova	PROPN
ijassa-1212	362	11	,	,	PUNCT
ijassa-1212	362	12	v.	v.	ADP
ijassa-1212	362	13	koreshkov	koreshkov	NOUN
ijassa-1212	362	14	be	be	AUX
ijassa-1212	362	15	corrected	correct	VERB
ijassa-1212	362	16	,	,	PUNCT
ijassa-1212	362	17	or	or	CCONJ
ijassa-1212	362	18	there	there	PRON
ijassa-1212	362	19	will	will	AUX
ijassa-1212	362	20	be	be	AUX
ijassa-1212	362	21	a	a	DET
ijassa-1212	362	22	set	set	NOUN
ijassa-1212	362	23	of	of	ADP
ijassa-1212	362	24	invalid	invalid	ADJ
ijassa-1212	362	25	paths	path	NOUN
ijassa-1212	362	26	for	for	ADP
ijassa-1212	362	27	which	which	PRON
ijassa-1212	362	28	,	,	PUNCT
ijassa-1212	362	29	under	under	ADP
ijassa-1212	362	30	the	the	DET
ijassa-1212	362	31	given	give	VERB
ijassa-1212	362	32	constraints	constraint	NOUN
ijassa-1212	362	33	on	on	ADP
ijassa-1212	362	34	locomotives	locomotive	NOUN
ijassa-1212	362	35	,	,	PUNCT
ijassa-1212	362	36	there	there	PRON
ijassa-1212	362	37	is	be	VERB
ijassa-1212	362	38	no	no	DET
ijassa-1212	362	39	solution	solution	NOUN
ijassa-1212	362	40	.	.	PUNCT
ijassa-1212	363	1	remark	remark	VERB
ijassa-1212	363	2	4.6	4.6	NUM
ijassa-1212	363	3	:	:	PUNCT
ijassa-1212	363	4	there	there	PRON
ijassa-1212	363	5	should	should	AUX
ijassa-1212	363	6	not	not	PART
ijassa-1212	363	7	be	be	AUX
ijassa-1212	363	8	too	too	ADV
ijassa-1212	363	9	many	many	ADJ
ijassa-1212	363	10	locomotives	locomotive	NOUN
ijassa-1212	363	11	with	with	ADP
ijassa-1212	363	12	time	time	NOUN
ijassa-1212	363	13	constraints	constraint	NOUN
ijassa-1212	363	14	to	to	PART
ijassa-1212	363	15	have	have	VERB
ijassa-1212	363	16	a	a	DET
ijassa-1212	363	17	high	high	ADJ
ijassa-1212	363	18	probability	probability	NOUN
ijassa-1212	363	19	of	of	ADP
ijassa-1212	363	20	obtaining	obtain	VERB
ijassa-1212	363	21	a	a	DET
ijassa-1212	363	22	valid	valid	ADJ
ijassa-1212	363	23	cover	cover	NOUN
ijassa-1212	363	24	.	.	PUNCT
ijassa-1212	364	1	if	if	SCONJ
ijassa-1212	364	2	there	there	PRON
ijassa-1212	364	3	are	be	VERB
ijassa-1212	364	4	many	many	ADJ
ijassa-1212	364	5	of	of	ADP
ijassa-1212	364	6	them	they	PRON
ijassa-1212	364	7	,	,	PUNCT
ijassa-1212	364	8	the	the	DET
ijassa-1212	364	9	planning	planning	NOUN
ijassa-1212	364	10	horizon	horizon	NOUN
ijassa-1212	364	11	should	should	AUX
ijassa-1212	364	12	be	be	AUX
ijassa-1212	364	13	adjusted	adjust	VERB
ijassa-1212	364	14	.	.	PUNCT
ijassa-1212	365	1	5	5	X
ijassa-1212	365	2	.	.	X
ijassa-1212	365	3	conclusions	conclusion	NOUN
ijassa-1212	365	4	a	a	DET
ijassa-1212	365	5	model	model	NOUN
ijassa-1212	365	6	of	of	ADP
ijassa-1212	365	7	transportation	transportation	NOUN
ijassa-1212	365	8	on	on	ADP
ijassa-1212	365	9	a	a	DET
ijassa-1212	365	10	linear	linear	ADJ
ijassa-1212	365	11	section	section	NOUN
ijassa-1212	365	12	of	of	ADP
ijassa-1212	365	13	the	the	DET
ijassa-1212	365	14	railway	railway	NOUN
ijassa-1212	365	15	is	be	AUX
ijassa-1212	365	16	represented	represent	VERB
ijassa-1212	365	17	as	as	ADP
ijassa-1212	365	18	an	an	DET
ijassa-1212	365	19	acyclic	acyclic	ADJ
ijassa-1212	365	20	graph	graph	NOUN
ijassa-1212	365	21	.	.	PUNCT
ijassa-1212	366	1	vertices	vertex	NOUN
ijassa-1212	366	2	in	in	ADP
ijassa-1212	366	3	this	this	DET
ijassa-1212	366	4	graph	graph	NOUN
ijassa-1212	366	5	correspond	correspond	NOUN
ijassa-1212	366	6	to	to	ADP
ijassa-1212	366	7	transportations	transportation	NOUN
ijassa-1212	366	8	,	,	PUNCT
ijassa-1212	366	9	and	and	CCONJ
ijassa-1212	366	10	arcs	arc	NOUN
ijassa-1212	366	11	indicate	indicate	VERB
ijassa-1212	366	12	the	the	DET
ijassa-1212	366	13	possibility	possibility	NOUN
ijassa-1212	366	14	to	to	PART
ijassa-1212	366	15	perform	perform	VERB
ijassa-1212	366	16	one	one	NUM
ijassa-1212	366	17	transportation	transportation	NOUN
ijassa-1212	366	18	after	after	ADP
ijassa-1212	366	19	another	another	PRON
ijassa-1212	366	20	by	by	ADP
ijassa-1212	366	21	the	the	DET
ijassa-1212	366	22	same	same	ADJ
ijassa-1212	366	23	locomotive	locomotive	NOUN
ijassa-1212	366	24	.	.	PUNCT
ijassa-1212	367	1	such	such	DET
ijassa-1212	367	2	a	a	DET
ijassa-1212	367	3	graph	graph	NOUN
ijassa-1212	367	4	was	be	AUX
ijassa-1212	367	5	called	call	VERB
ijassa-1212	367	6	a	a	DET
ijassa-1212	367	7	reachability	reachability	NOUN
ijassa-1212	367	8	graph	graph	NOUN
ijassa-1212	367	9	.	.	PUNCT
ijassa-1212	368	1	the	the	DET
ijassa-1212	368	2	problem	problem	NOUN
ijassa-1212	368	3	of	of	ADP
ijassa-1212	368	4	constructing	construct	VERB
ijassa-1212	368	5	optimal	optimal	ADJ
ijassa-1212	368	6	locomotive	locomotive	ADJ
ijassa-1212	368	7	assignment	assignment	NOUN
ijassa-1212	368	8	without	without	ADP
ijassa-1212	368	9	time	time	NOUN
ijassa-1212	368	10	constraints	constraint	NOUN
ijassa-1212	368	11	is	be	AUX
ijassa-1212	368	12	equivalent	equivalent	ADJ
ijassa-1212	368	13	to	to	ADP
ijassa-1212	368	14	the	the	DET
ijassa-1212	368	15	problem	problem	NOUN
ijassa-1212	368	16	of	of	ADP
ijassa-1212	368	17	finding	find	VERB
ijassa-1212	368	18	the	the	DET
ijassa-1212	368	19	minimal	minimal	ADJ
ijassa-1212	368	20	path	path	NOUN
ijassa-1212	368	21	cover	cover	NOUN
ijassa-1212	368	22	of	of	ADP
ijassa-1212	368	23	an	an	DET
ijassa-1212	368	24	acyclic	acyclic	ADJ
ijassa-1212	368	25	graph	graph	NOUN
ijassa-1212	368	26	.	.	PUNCT
ijassa-1212	369	1	and	and	CCONJ
ijassa-1212	369	2	this	this	DET
ijassa-1212	369	3	problem	problem	NOUN
ijassa-1212	369	4	,	,	PUNCT
ijassa-1212	369	5	in	in	ADP
ijassa-1212	369	6	turn	turn	NOUN
ijassa-1212	369	7	,	,	PUNCT
ijassa-1212	369	8	is	be	AUX
ijassa-1212	369	9	reduced	reduce	VERB
ijassa-1212	369	10	to	to	ADP
ijassa-1212	369	11	finding	find	VERB
ijassa-1212	369	12	a	a	DET
ijassa-1212	369	13	perfect	perfect	ADJ
ijassa-1212	369	14	matching	matching	NOUN
ijassa-1212	369	15	in	in	ADP
ijassa-1212	369	16	a	a	DET
ijassa-1212	369	17	bipartite	bipartite	NOUN
ijassa-1212	369	18	graph	graph	NOUN
ijassa-1212	369	19	.	.	PUNCT
ijassa-1212	370	1	in	in	ADP
ijassa-1212	370	2	the	the	DET
ijassa-1212	370	3	absence	absence	NOUN
ijassa-1212	370	4	of	of	ADP
ijassa-1212	370	5	time	time	NOUN
ijassa-1212	370	6	constraints	constraint	NOUN
ijassa-1212	370	7	on	on	ADP
ijassa-1212	370	8	locomotives	locomotive	NOUN
ijassa-1212	370	9	,	,	PUNCT
ijassa-1212	370	10	any	any	DET
ijassa-1212	370	11	minimal	minimal	ADJ
ijassa-1212	370	12	path	path	NOUN
ijassa-1212	370	13	cover	cover	NOUN
ijassa-1212	370	14	of	of	ADP
ijassa-1212	370	15	a	a	DET
ijassa-1212	370	16	given	give	VERB
ijassa-1212	370	17	acyclic	acyclic	ADJ
ijassa-1212	370	18	graph	graph	NOUN
ijassa-1212	370	19	is	be	AUX
ijassa-1212	370	20	an	an	DET
ijassa-1212	370	21	optimal	optimal	ADJ
ijassa-1212	370	22	solution	solution	NOUN
ijassa-1212	370	23	to	to	ADP
ijassa-1212	370	24	the	the	DET
ijassa-1212	370	25	original	original	ADJ
ijassa-1212	370	26	problem	problem	NOUN
ijassa-1212	370	27	.	.	PUNCT
ijassa-1212	371	1	due	due	ADP
ijassa-1212	371	2	to	to	ADP
ijassa-1212	371	3	time	time	NOUN
ijassa-1212	371	4	constraints	constraint	NOUN
ijassa-1212	371	5	,	,	PUNCT
ijassa-1212	371	6	some	some	DET
ijassa-1212	371	7	transportation	transportation	NOUN
ijassa-1212	371	8	sequences	sequence	NOUN
ijassa-1212	371	9	can	can	AUX
ijassa-1212	371	10	not	not	PART
ijassa-1212	371	11	be	be	AUX
ijassa-1212	371	12	completed	complete	VERB
ijassa-1212	371	13	.	.	PUNCT
ijassa-1212	372	1	under	under	ADP
ijassa-1212	372	2	such	such	ADJ
ijassa-1212	372	3	conditions	condition	NOUN
ijassa-1212	372	4	,	,	PUNCT
ijassa-1212	372	5	the	the	DET
ijassa-1212	372	6	problem	problem	NOUN
ijassa-1212	372	7	becomes	become	VERB
ijassa-1212	372	8	much	much	ADV
ijassa-1212	372	9	more	more	ADV
ijassa-1212	372	10	complicated	complicated	ADJ
ijassa-1212	372	11	.	.	PUNCT
ijassa-1212	373	1	dynamic	dynamic	ADJ
ijassa-1212	373	2	algorithms	algorithm	NOUN
ijassa-1212	373	3	are	be	AUX
ijassa-1212	373	4	often	often	ADV
ijassa-1212	373	5	unable	unable	ADJ
ijassa-1212	373	6	to	to	PART
ijassa-1212	373	7	find	find	VERB
ijassa-1212	373	8	an	an	DET
ijassa-1212	373	9	existing	exist	VERB
ijassa-1212	373	10	solution	solution	NOUN
ijassa-1212	373	11	[	[	X
ijassa-1212	373	12	10	10	NUM
ijassa-1212	373	13	]	]	PUNCT
ijassa-1212	373	14	.	.	PUNCT
ijassa-1212	374	1	heuristic	heuristic	ADJ
ijassa-1212	374	2	algorithm	algorithm	NOUN
ijassa-1212	374	3	[	[	X
ijassa-1212	374	4	9	9	NUM
ijassa-1212	374	5	]	]	PUNCT
ijassa-1212	374	6	improves	improve	VERB
ijassa-1212	374	7	the	the	DET
ijassa-1212	374	8	invalid	invalid	ADJ
ijassa-1212	374	9	solution	solution	NOUN
ijassa-1212	374	10	(	(	PUNCT
ijassa-1212	374	11	finds	find	VERB
ijassa-1212	374	12	more	more	ADJ
ijassa-1212	374	13	assignments	assignment	NOUN
ijassa-1212	374	14	)	)	PUNCT
ijassa-1212	374	15	,	,	PUNCT
ijassa-1212	374	16	but	but	CCONJ
ijassa-1212	374	17	also	also	ADV
ijassa-1212	374	18	does	do	AUX
ijassa-1212	374	19	not	not	PART
ijassa-1212	374	20	always	always	ADV
ijassa-1212	374	21	find	find	VERB
ijassa-1212	374	22	an	an	DET
ijassa-1212	374	23	optimal	optimal	ADJ
ijassa-1212	374	24	solution	solution	NOUN
ijassa-1212	374	25	when	when	SCONJ
ijassa-1212	374	26	it	it	PRON
ijassa-1212	374	27	exists	exist	VERB
ijassa-1212	374	28	.	.	PUNCT
ijassa-1212	375	1	to	to	PART
ijassa-1212	375	2	simplify	simplify	VERB
ijassa-1212	375	3	the	the	DET
ijassa-1212	375	4	finding	finding	NOUN
ijassa-1212	375	5	an	an	DET
ijassa-1212	375	6	optimal	optimal	ADJ
ijassa-1212	375	7	solution	solution	NOUN
ijassa-1212	375	8	under	under	ADP
ijassa-1212	375	9	time	time	NOUN
ijassa-1212	375	10	constraints	constraint	NOUN
ijassa-1212	375	11	,	,	PUNCT
ijassa-1212	375	12	a	a	DET
ijassa-1212	375	13	topological	topological	ADJ
ijassa-1212	375	14	sorting	sorting	NOUN
ijassa-1212	375	15	of	of	ADP
ijassa-1212	375	16	the	the	DET
ijassa-1212	375	17	graph	graph	NOUN
ijassa-1212	375	18	and	and	CCONJ
ijassa-1212	375	19	a	a	DET
ijassa-1212	375	20	number	number	NOUN
ijassa-1212	375	21	of	of	ADP
ijassa-1212	375	22	other	other	ADJ
ijassa-1212	375	23	transformations	transformation	NOUN
ijassa-1212	375	24	are	be	AUX
ijassa-1212	375	25	performed	perform	VERB
ijassa-1212	375	26	.	.	PUNCT
ijassa-1212	376	1	as	as	ADP
ijassa-1212	376	2	a	a	DET
ijassa-1212	376	3	result	result	NOUN
ijassa-1212	376	4	,	,	PUNCT
ijassa-1212	376	5	the	the	DET
ijassa-1212	376	6	structure	structure	NOUN
ijassa-1212	376	7	of	of	ADP
ijassa-1212	376	8	a	a	DET
ijassa-1212	376	9	reachability	reachability	NOUN
ijassa-1212	376	10	graph	graph	NOUN
ijassa-1212	376	11	becomes	become	VERB
ijassa-1212	376	12	regular	regular	ADJ
ijassa-1212	376	13	and	and	CCONJ
ijassa-1212	376	14	the	the	DET
ijassa-1212	376	15	dimension	dimension	NOUN
ijassa-1212	376	16	of	of	ADP
ijassa-1212	376	17	the	the	DET
ijassa-1212	376	18	problem	problem	NOUN
ijassa-1212	376	19	is	be	AUX
ijassa-1212	376	20	reduced	reduce	VERB
ijassa-1212	376	21	.	.	PUNCT
ijassa-1212	377	1	to	to	PART
ijassa-1212	377	2	correct	correct	VERB
ijassa-1212	377	3	an	an	DET
ijassa-1212	377	4	invalid	invalid	ADJ
ijassa-1212	377	5	solution	solution	NOUN
ijassa-1212	377	6	under	under	ADP
ijassa-1212	377	7	time	time	NOUN
ijassa-1212	377	8	constraints	constraint	NOUN
ijassa-1212	377	9	,	,	PUNCT
ijassa-1212	377	10	two	two	NUM
ijassa-1212	377	11	operations	operation	NOUN
ijassa-1212	377	12	are	be	AUX
ijassa-1212	377	13	introduced	introduce	VERB
ijassa-1212	377	14	:	:	PUNCT
ijassa-1212	377	15	crossover	crossover	NOUN
ijassa-1212	377	16	and	and	CCONJ
ijassa-1212	377	17	changeover	changeover	NOUN
ijassa-1212	377	18	.	.	PUNCT
ijassa-1212	378	1	a	a	DET
ijassa-1212	378	2	crossover	crossover	NOUN
ijassa-1212	378	3	can	can	AUX
ijassa-1212	378	4	be	be	AUX
ijassa-1212	378	5	simple	simple	ADJ
ijassa-1212	378	6	when	when	SCONJ
ijassa-1212	378	7	a	a	DET
ijassa-1212	378	8	pair	pair	NOUN
ijassa-1212	378	9	of	of	ADP
ijassa-1212	378	10	paths	path	NOUN
ijassa-1212	378	11	exchange	exchange	VERB
ijassa-1212	378	12	homologous	homologous	ADJ
ijassa-1212	378	13	sections	section	NOUN
ijassa-1212	378	14	,	,	PUNCT
ijassa-1212	378	15	and	and	CCONJ
ijassa-1212	378	16	complex	complex	ADJ
ijassa-1212	378	17	when	when	SCONJ
ijassa-1212	378	18	a	a	DET
ijassa-1212	378	19	permutation	permutation	NOUN
ijassa-1212	378	20	occurs	occur	VERB
ijassa-1212	378	21	between	between	ADP
ijassa-1212	378	22	several	several	ADJ
ijassa-1212	378	23	paths	path	NOUN
ijassa-1212	378	24	.	.	PUNCT
ijassa-1212	379	1	in	in	ADP
ijassa-1212	379	2	crossover	crossover	NOUN
ijassa-1212	379	3	,	,	PUNCT
ijassa-1212	379	4	two	two	NUM
ijassa-1212	379	5	or	or	CCONJ
ijassa-1212	379	6	more	more	ADJ
ijassa-1212	379	7	paths	path	NOUN
ijassa-1212	379	8	are	be	AUX
ijassa-1212	379	9	exchanged	exchange	VERB
ijassa-1212	379	10	with	with	ADP
ijassa-1212	379	11	homologous	homologous	ADJ
ijassa-1212	379	12	sections	section	NOUN
ijassa-1212	379	13	containing	contain	VERB
ijassa-1212	379	14	the	the	DET
ijassa-1212	379	15	ends	end	NOUN
ijassa-1212	379	16	of	of	ADP
ijassa-1212	379	17	these	these	DET
ijassa-1212	379	18	paths	path	NOUN
ijassa-1212	379	19	.	.	PUNCT
ijassa-1212	380	1	a	a	DET
ijassa-1212	380	2	changeover	changeover	NOUN
ijassa-1212	380	3	switches	switch	VERB
ijassa-1212	380	4	the	the	DET
ijassa-1212	380	5	end	end	NOUN
ijassa-1212	380	6	of	of	ADP
ijassa-1212	380	7	an	an	DET
ijassa-1212	380	8	invalid	invalid	ADJ
ijassa-1212	380	9	path	path	NOUN
ijassa-1212	380	10	to	to	ADP
ijassa-1212	380	11	another	another	DET
ijassa-1212	380	12	free	free	ADJ
ijassa-1212	380	13	vertex	vertex	NOUN
ijassa-1212	380	14	or	or	CCONJ
ijassa-1212	380	15	free	free	ADJ
ijassa-1212	380	16	path	path	NOUN
ijassa-1212	380	17	.	.	PUNCT
ijassa-1212	381	1	the	the	DET
ijassa-1212	381	2	co	co	NOUN
ijassa-1212	381	3	-	-	NOUN
ijassa-1212	381	4	changeover	changeover	NOUN
ijassa-1212	381	5	operation	operation	NOUN
ijassa-1212	381	6	allows	allow	VERB
ijassa-1212	381	7	in	in	ADP
ijassa-1212	381	8	some	some	DET
ijassa-1212	381	9	cases	case	NOUN
ijassa-1212	381	10	to	to	PART
ijassa-1212	381	11	avoid	avoid	VERB
ijassa-1212	381	12	the	the	DET
ijassa-1212	381	13	increase	increase	NOUN
ijassa-1212	381	14	in	in	ADP
ijassa-1212	381	15	the	the	DET
ijassa-1212	381	16	number	number	NOUN
ijassa-1212	381	17	of	of	ADP
ijassa-1212	381	18	paths	path	NOUN
ijassa-1212	381	19	in	in	ADP
ijassa-1212	381	20	the	the	DET
ijassa-1212	381	21	minimal	minimal	ADJ
ijassa-1212	381	22	cover	cover	NOUN
ijassa-1212	381	23	,	,	PUNCT
ijassa-1212	381	24	which	which	PRON
ijassa-1212	381	25	occurs	occur	VERB
ijassa-1212	381	26	due	due	ADJ
ijassa-1212	381	27	to	to	ADP
ijassa-1212	381	28	changeover	changeover	NOUN
ijassa-1212	381	29	.	.	PUNCT
ijassa-1212	382	1	the	the	DET
ijassa-1212	382	2	algorithms	algorithms	NOUN
ijassa-1212	382	3	is	be	AUX
ijassa-1212	382	4	proposed	propose	VERB
ijassa-1212	382	5	that	that	SCONJ
ijassa-1212	382	6	convert	convert	VERB
ijassa-1212	382	7	an	an	DET
ijassa-1212	382	8	invalid	invalid	ADJ
ijassa-1212	382	9	cover	cover	NOUN
ijassa-1212	382	10	into	into	ADP
ijassa-1212	382	11	a	a	DET
ijassa-1212	382	12	valid	valid	ADJ
ijassa-1212	382	13	one	one	NUM
ijassa-1212	382	14	.	.	PUNCT
ijassa-1212	383	1	this	this	DET
ijassa-1212	383	2	algorithm	algorithm	NOUN
ijassa-1212	383	3	always	always	ADV
ijassa-1212	383	4	finds	find	VERB
ijassa-1212	383	5	a	a	DET
ijassa-1212	383	6	solution	solution	NOUN
ijassa-1212	383	7	if	if	SCONJ
ijassa-1212	383	8	it	it	PRON
ijassa-1212	383	9	exists	exist	VERB
ijassa-1212	383	10	.	.	PUNCT
ijassa-1212	384	1	however	however	ADV
ijassa-1212	384	2	,	,	PUNCT
ijassa-1212	384	3	during	during	ADP
ijassa-1212	384	4	its	its	PRON
ijassa-1212	384	5	implementation	implementation	NOUN
ijassa-1212	384	6	,	,	PUNCT
ijassa-1212	384	7	it	it	PRON
ijassa-1212	384	8	is	be	AUX
ijassa-1212	384	9	necessary	necessary	ADJ
ijassa-1212	384	10	to	to	PART
ijassa-1212	384	11	check	check	VERB
ijassa-1212	384	12	a	a	DET
ijassa-1212	384	13	large	large	ADJ
ijassa-1212	384	14	number	number	NOUN
ijassa-1212	384	15	of	of	ADP
ijassa-1212	384	16	conditions	condition	NOUN
ijassa-1212	384	17	.	.	PUNCT
ijassa-1212	385	1	acknowledgements	acknowledgement	NOUN
ijassa-1212	385	2	this	this	DET
ijassa-1212	385	3	work	work	NOUN
ijassa-1212	385	4	was	be	AUX
ijassa-1212	385	5	partly	partly	ADV
ijassa-1212	385	6	supported	support	VERB
ijassa-1212	385	7	by	by	ADP
ijassa-1212	385	8	the	the	DET
ijassa-1212	385	9	russian	russian	ADJ
ijassa-1212	385	10	foundation	foundation	NOUN
ijassa-1212	385	11	for	for	ADP
ijassa-1212	385	12	basic	basic	ADJ
ijassa-1212	385	13	research	research	NOUN
ijassa-1212	385	14	(	(	PUNCT
ijassa-1212	385	15	project	project	NOUN
ijassa-1212	385	16	no	no	NOUN
ijassa-1212	385	17	.	.	NOUN
ijassa-1212	385	18	20	20	NUM
ijassa-1212	385	19	-	-	PUNCT
ijassa-1212	385	20	07	07	NUM
ijassa-1212	385	21	-	-	PUNCT
ijassa-1212	385	22	00190a	00190a	NUM
ijassa-1212	385	23	)	)	PUNCT
ijassa-1212	385	24	.	.	PUNCT
ijassa-1212	386	1	references	reference	NOUN
ijassa-1212	386	2	1	1	NUM
ijassa-1212	386	3	.	.	PUNCT
ijassa-1212	386	4	gainanov	gainanov	PROPN
ijassa-1212	386	5	d.	d.	PROPN
ijassa-1212	386	6	n.	n.	PROPN
ijassa-1212	386	7	,	,	PUNCT
ijassa-1212	386	8	kibzun	kibzun	PROPN
ijassa-1212	386	9	a.	a.	PROPN
ijassa-1212	386	10	i.	i.	PROPN
ijassa-1212	386	11	,	,	PUNCT
ijassa-1212	386	12	rasskazova	rasskazova	X
ijassa-1212	386	13	v.	v.	CCONJ
ijassa-1212	386	14	a.	a.	PROPN
ijassa-1212	386	15	(	(	PUNCT
ijassa-1212	386	16	2018	2018	NUM
ijassa-1212	386	17	)	)	PUNCT
ijassa-1212	386	18	.	.	PUNCT
ijassa-1212	387	1	the	the	DET
ijassa-1212	387	2	decomposition	decomposition	NOUN
ijassa-1212	387	3	problem	problem	NOUN
ijassa-1212	387	4	for	for	ADP
ijassa-1212	387	5	the	the	DET
ijassa-1212	387	6	set	set	NOUN
ijassa-1212	387	7	of	of	ADP
ijassa-1212	387	8	paths	path	NOUN
ijassa-1212	387	9	in	in	ADP
ijassa-1212	387	10	a	a	DET
ijassa-1212	387	11	directed	direct	VERB
ijassa-1212	387	12	graph	graph	NOUN
ijassa-1212	387	13	and	and	CCONJ
ijassa-1212	387	14	its	its	PRON
ijassa-1212	387	15	application	application	NOUN
ijassa-1212	387	16	.	.	PUNCT
ijassa-1212	388	1	autom	autom	PROPN
ijassa-1212	388	2	.	.	PUNCT
ijassa-1212	389	1	remote	remote	ADJ
ijassa-1212	389	2	control	control	NOUN
ijassa-1212	389	3	,	,	PUNCT
ijassa-1212	389	4	79	79	NUM
ijassa-1212	389	5	,	,	PUNCT
ijassa-1212	389	6	2217–2236	2217–2236	NUM
ijassa-1212	389	7	.	.	NOUN
ijassa-1212	389	8	2	2	NUM
ijassa-1212	389	9	.	.	X
ijassa-1212	389	10	jaumard	jaumard	PROPN
ijassa-1212	389	11	b.	b.	PROPN
ijassa-1212	389	12	,	,	PUNCT
ijassa-1212	389	13	tian	tian	PROPN
ijassa-1212	389	14	h.	h.	PROPN
ijassa-1212	389	15	(	(	PUNCT
ijassa-1212	389	16	2016	2016	NUM
ijassa-1212	389	17	)	)	PUNCT
ijassa-1212	389	18	.	.	PUNCT
ijassa-1212	390	1	multi	multi	ADJ
ijassa-1212	390	2	-	-	ADJ
ijassa-1212	390	3	column	column	ADJ
ijassa-1212	390	4	generation	generation	NOUN
ijassa-1212	390	5	model	model	NOUN
ijassa-1212	390	6	for	for	ADP
ijassa-1212	390	7	the	the	DET
ijassa-1212	390	8	locomotive	locomotive	ADJ
ijassa-1212	390	9	assignment	assignment	NOUN
ijassa-1212	390	10	problem	problem	NOUN
ijassa-1212	390	11	.	.	PUNCT
ijassa-1212	391	1	proc	proc	NOUN
ijassa-1212	391	2	.	.	PUNCT
ijassa-1212	392	1	of	of	ADP
ijassa-1212	392	2	16th	16th	ADJ
ijassa-1212	392	3	workshop	workshop	NOUN
ijassa-1212	392	4	on	on	ADP
ijassa-1212	392	5	algorithmic	algorithmic	ADJ
ijassa-1212	392	6	approaches	approach	NOUN
ijassa-1212	392	7	for	for	ADP
ijassa-1212	392	8	transportation	transportation	NOUN
ijassa-1212	392	9	modelling	modelling	NOUN
ijassa-1212	392	10	,	,	PUNCT
ijassa-1212	392	11	optimization	optimization	NOUN
ijassa-1212	392	12	,	,	PUNCT
ijassa-1212	392	13	and	and	CCONJ
ijassa-1212	392	14	systems	system	NOUN
ijassa-1212	392	15	(	(	PUNCT
ijassa-1212	392	16	atmos’16	atmos’16	PROPN
ijassa-1212	392	17	)	)	PUNCT
ijassa-1212	392	18	,	,	PUNCT
ijassa-1212	392	19	6	6	NUM
ijassa-1212	392	20	,	,	PUNCT
ijassa-1212	392	21	1	1	NUM
ijassa-1212	392	22	–	–	PUNCT
ijassa-1212	392	23	13	13	NUM
ijassa-1212	392	24	.	.	X
ijassa-1212	392	25	3	3	X
ijassa-1212	392	26	.	.	X
ijassa-1212	392	27	zinder	zinder	NOUN
ijassa-1212	392	28	,	,	PUNCT
ijassa-1212	392	29	y.	y.	PROPN
ijassa-1212	392	30	,	,	PUNCT
ijassa-1212	392	31	lazarev	lazarev	PROPN
ijassa-1212	392	32	,	,	PUNCT
ijassa-1212	392	33	a.a	a.a	PROPN
ijassa-1212	392	34	.	.	PROPN
ijassa-1212	392	35	,	,	PUNCT
ijassa-1212	392	36	and	and	CCONJ
ijassa-1212	392	37	musatova	musatova	PROPN
ijassa-1212	392	38	,	,	PUNCT
ijassa-1212	392	39	e.g.	e.g.	ADV
ijassa-1212	392	40	(	(	PUNCT
ijassa-1212	392	41	2020	2020	NUM
ijassa-1212	392	42	)	)	PUNCT
ijassa-1212	392	43	.	.	PUNCT
ijassa-1212	393	1	rescheduling	reschedule	VERB
ijassa-1212	393	2	traffic	traffic	NOUN
ijassa-1212	393	3	on	on	ADP
ijassa-1212	393	4	a	a	DET
ijassa-1212	393	5	partially	partially	ADV
ijassa-1212	393	6	blocked	block	VERB
ijassa-1212	393	7	segment	segment	NOUN
ijassa-1212	393	8	of	of	ADP
ijassa-1212	393	9	railway	railway	NOUN
ijassa-1212	393	10	with	with	ADP
ijassa-1212	393	11	a	a	DET
ijassa-1212	393	12	siding	siding	NOUN
ijassa-1212	393	13	.	.	PUNCT
ijassa-1212	394	1	autom	autom	PROPN
ijassa-1212	394	2	.	.	PUNCT
ijassa-1212	395	1	remote	remote	ADJ
ijassa-1212	395	2	control	control	NOUN
ijassa-1212	395	3	,	,	PUNCT
ijassa-1212	395	4	81(6	81(6	NUM
ijassa-1212	395	5	)	)	PUNCT
ijassa-1212	395	6	,	,	PUNCT
ijassa-1212	395	7	955–966	955–966	NUM
ijassa-1212	395	8	.	.	PUNCT
ijassa-1212	396	1	copyright	copyright	NOUN
ijassa-1212	396	2	©	©	PROPN
ijassa-1212	396	3	2022	2022	NUM
ijassa-1212	396	4	assa	assa	NOUN
ijassa-1212	396	5	.	.	PUNCT
ijassa-1212	397	1	adv	adv	PROPN
ijassa-1212	397	2	syst	syst	PROPN
ijassa-1212	397	3	sci	sci	PROPN
ijassa-1212	397	4	appl	appl	PROPN
ijassa-1212	397	5	(	(	PUNCT
ijassa-1212	397	6	2022	2022	NUM
ijassa-1212	397	7	)	)	PUNCT
ijassa-1212	397	8	graph	graph	NOUN
ijassa-1212	397	9	methods	method	NOUN
ijassa-1212	397	10	for	for	ADP
ijassa-1212	397	11	improving	improve	VERB
ijassa-1212	397	12	the	the	DET
ijassa-1212	397	13	invalid	invalid	ADJ
ijassa-1212	397	14	solution	solution	NOUN
ijassa-1212	397	15	of	of	ADP
ijassa-1212	397	16	the	the	DET
ijassa-1212	397	17	locomotive	locomotive	NOUN
ijassa-1212	397	18	...	...	PUNCT
ijassa-1212	397	19	61	61	NUM
ijassa-1212	397	20	4	4	NUM
ijassa-1212	397	21	.	.	PUNCT
ijassa-1212	397	22	lazarev	lazarev	PROPN
ijassa-1212	397	23	a.	a.	NOUN
ijassa-1212	397	24	a.	a.	PROPN
ijassa-1212	397	25	,	,	PUNCT
ijassa-1212	397	26	musatova	musatova	PROPN
ijassa-1212	397	27	e.	e.	PROPN
ijassa-1212	397	28	g.	g.	PROPN
ijassa-1212	397	29	,	,	PUNCT
ijassa-1212	397	30	tarasov	tarasov	PROPN
ijassa-1212	397	31	i.	i.	PROPN
ijassa-1212	397	32	a.	a.	PROPN
ijassa-1212	397	33	(	(	PUNCT
ijassa-1212	397	34	2016	2016	NUM
ijassa-1212	397	35	)	)	PUNCT
ijassa-1212	397	36	.	.	PUNCT
ijassa-1212	398	1	two	two	NUM
ijassa-1212	398	2	-	-	PUNCT
ijassa-1212	398	3	directional	directional	ADJ
ijassa-1212	398	4	traffic	traffic	NOUN
ijassa-1212	398	5	scheduling	scheduling	NOUN
ijassa-1212	398	6	problem	problem	NOUN
ijassa-1212	398	7	solution	solution	NOUN
ijassa-1212	398	8	for	for	ADP
ijassa-1212	398	9	a	a	DET
ijassa-1212	398	10	single	single	ADJ
ijassa-1212	398	11	-	-	PUNCT
ijassa-1212	398	12	track	track	NOUN
ijassa-1212	398	13	railway	railway	NOUN
ijassa-1212	398	14	with	with	ADP
ijassa-1212	398	15	siding	siding	NOUN
ijassa-1212	398	16	.	.	PUNCT
ijassa-1212	399	1	autom	autom	PROPN
ijassa-1212	399	2	.	.	PUNCT
ijassa-1212	400	1	remote	remote	ADJ
ijassa-1212	400	2	control	control	NOUN
ijassa-1212	400	3	,	,	PUNCT
ijassa-1212	400	4	77(12	77(12	NUM
ijassa-1212	400	5	)	)	PUNCT
ijassa-1212	400	6	,	,	PUNCT
ijassa-1212	400	7	2118–2131	2118–2131	NUM
ijassa-1212	400	8	.	.	PUNCT
ijassa-1212	401	1	5	5	NUM
ijassa-1212	401	2	.	.	PUNCT
ijassa-1212	402	1	ahuja	ahuja	PROPN
ijassa-1212	402	2	r.k	r.k	PROPN
ijassa-1212	402	3	.	.	PROPN
ijassa-1212	402	4	,	,	PUNCT
ijassa-1212	402	5	liu	liu	PROPN
ijassa-1212	402	6	j.	j.	PROPN
ijassa-1212	402	7	,	,	PUNCT
ijassa-1212	402	8	orlin	orlin	PROPN
ijassa-1212	402	9	j.b	j.b	PROPN
ijassa-1212	402	10	.	.	PROPN
ijassa-1212	402	11	,	,	PUNCT
ijassa-1212	402	12	sharma	sharma	PROPN
ijassa-1212	402	13	d.	d.	PROPN
ijassa-1212	402	14	and	and	CCONJ
ijassa-1212	402	15	shughart	shughart	PROPN
ijassa-1212	402	16	l.a	l.a	PROPN
ijassa-1212	402	17	.	.	PROPN
ijassa-1212	402	18	(	(	PUNCT
ijassa-1212	402	19	2005	2005	NUM
ijassa-1212	402	20	)	)	PUNCT
ijassa-1212	402	21	.	.	PUNCT
ijassa-1212	403	1	solving	solve	VERB
ijassa-1212	403	2	real	real	ADJ
ijassa-1212	403	3	-	-	PUNCT
ijassa-1212	403	4	life	life	NOUN
ijassa-1212	403	5	locomotive	locomotive	ADJ
ijassa-1212	403	6	scheduling	scheduling	NOUN
ijassa-1212	403	7	problems	problem	NOUN
ijassa-1212	403	8	.	.	PUNCT
ijassa-1212	404	1	transport	transport	NOUN
ijassa-1212	404	2	.	.	PUNCT
ijassa-1212	405	1	sci	sci	PROPN
ijassa-1212	405	2	.	.	PROPN
ijassa-1212	405	3	,	,	PUNCT
ijassa-1212	405	4	39(4	39(4	NUM
ijassa-1212	405	5	)	)	PUNCT
ijassa-1212	405	6	,	,	PUNCT
ijassa-1212	405	7	503	503	NUM
ijassa-1212	405	8	–	–	PUNCT
ijassa-1212	405	9	517	517	NUM
ijassa-1212	405	10	.	.	NOUN
ijassa-1212	405	11	6	6	NUM
ijassa-1212	405	12	.	.	X
ijassa-1212	406	1	noori	noori	PROPN
ijassa-1212	406	2	,	,	PUNCT
ijassa-1212	406	3	s.	s.	PROPN
ijassa-1212	406	4	,	,	PUNCT
ijassa-1212	406	5	ghannadpour	ghannadpour	NOUN
ijassa-1212	406	6	,	,	PUNCT
ijassa-1212	406	7	s.f	s.f	PROPN
ijassa-1212	406	8	.	.	PROPN
ijassa-1212	406	9	(	(	PUNCT
ijassa-1212	406	10	2012	2012	NUM
ijassa-1212	406	11	)	)	PUNCT
ijassa-1212	406	12	.	.	PUNCT
ijassa-1212	407	1	locomotive	locomotive	ADJ
ijassa-1212	407	2	assignment	assignment	NOUN
ijassa-1212	407	3	problem	problem	NOUN
ijassa-1212	407	4	with	with	ADP
ijassa-1212	407	5	train	train	NOUN
ijassa-1212	407	6	precedence	precedence	NOUN
ijassa-1212	407	7	using	use	VERB
ijassa-1212	407	8	genetic	genetic	ADJ
ijassa-1212	407	9	algorithm	algorithm	NOUN
ijassa-1212	407	10	.	.	PUNCT
ijassa-1212	408	1	j	j	PROPN
ijassa-1212	408	2	ind	ind	PROPN
ijassa-1212	408	3	eng	eng	PROPN
ijassa-1212	408	4	int	int	PROPN
ijassa-1212	408	5	,	,	PUNCT
ijassa-1212	408	6	8(9	8(9	NUM
ijassa-1212	408	7	)	)	PUNCT
ijassa-1212	408	8	,	,	PUNCT
ijassa-1212	408	9	1	1	NUM
ijassa-1212	408	10	–	–	SYM
ijassa-1212	408	11	13	13	NUM
ijassa-1212	408	12	.	.	X
ijassa-1212	408	13	7	7	X
ijassa-1212	408	14	.	.	X
ijassa-1212	408	15	archetti	archetti	PROPN
ijassa-1212	408	16	c.	c.	PROPN
ijassa-1212	408	17	,	,	PUNCT
ijassa-1212	408	18	peirano	peirano	PROPN
ijassa-1212	408	19	l.	l.	PROPN
ijassa-1212	408	20	,	,	PUNCT
ijassa-1212	408	21	speranza	speranza	PROPN
ijassa-1212	408	22	m.	m.	PROPN
ijassa-1212	408	23	g.	g.	PROPN
ijassa-1212	408	24	(	(	PUNCT
ijassa-1212	408	25	2022	2022	NUM
ijassa-1212	408	26	)	)	PUNCT
ijassa-1212	408	27	.	.	PUNCT
ijassa-1212	409	1	optimization	optimization	NOUN
ijassa-1212	409	2	in	in	ADP
ijassa-1212	409	3	multimodal	multimodal	NOUN
ijassa-1212	409	4	freight	freight	NOUN
ijassa-1212	409	5	transportation	transportation	NOUN
ijassa-1212	409	6	problems	problem	NOUN
ijassa-1212	409	7	:	:	PUNCT
ijassa-1212	409	8	a	a	DET
ijassa-1212	409	9	survey	survey	NOUN
ijassa-1212	409	10	.	.	PUNCT
ijassa-1212	410	1	european	european	ADJ
ijassa-1212	410	2	journal	journal	PROPN
ijassa-1212	410	3	of	of	ADP
ijassa-1212	410	4	operational	operational	ADJ
ijassa-1212	410	5	research	research	NOUN
ijassa-1212	410	6	,	,	PUNCT
ijassa-1212	410	7	299(1	299(1	NUM
ijassa-1212	410	8	)	)	PUNCT
ijassa-1212	410	9	,	,	PUNCT
ijassa-1212	410	10	1	1	NUM
ijassa-1212	410	11	–	–	SYM
ijassa-1212	410	12	20	20	NUM
ijassa-1212	410	13	.	.	NOUN
ijassa-1212	410	14	8	8	NUM
ijassa-1212	410	15	.	.	PUNCT
ijassa-1212	411	1	hanczar	hanczar	PROPN
ijassa-1212	411	2	p.	p.	PROPN
ijassa-1212	411	3	,	,	PUNCT
ijassa-1212	411	4	zandi	zandi	PROPN
ijassa-1212	411	5	a.	a.	PROPN
ijassa-1212	411	6	(	(	PUNCT
ijassa-1212	411	7	2021	2021	NUM
ijassa-1212	411	8	)	)	PUNCT
ijassa-1212	411	9	.	.	PUNCT
ijassa-1212	412	1	a	a	DET
ijassa-1212	412	2	novel	novel	ADJ
ijassa-1212	412	3	model	model	NOUN
ijassa-1212	412	4	and	and	CCONJ
ijassa-1212	412	5	solution	solution	NOUN
ijassa-1212	412	6	algorithm	algorithm	NOUN
ijassa-1212	412	7	to	to	PART
ijassa-1212	412	8	improve	improve	VERB
ijassa-1212	412	9	crew	crew	NOUN
ijassa-1212	412	10	scheduling	scheduling	NOUN
ijassa-1212	412	11	in	in	ADP
ijassa-1212	412	12	railway	railway	NOUN
ijassa-1212	412	13	transportation	transportation	NOUN
ijassa-1212	412	14	:	:	PUNCT
ijassa-1212	412	15	a	a	DET
ijassa-1212	412	16	real	real	ADJ
ijassa-1212	412	17	world	world	NOUN
ijassa-1212	412	18	case	case	NOUN
ijassa-1212	412	19	study	study	NOUN
ijassa-1212	412	20	.	.	PUNCT
ijassa-1212	413	1	computers	computer	NOUN
ijassa-1212	413	2	&	&	CCONJ
ijassa-1212	413	3	industrial	industrial	ADJ
ijassa-1212	413	4	engineering	engineering	NOUN
ijassa-1212	413	5	,	,	PUNCT
ijassa-1212	413	6	154	154	NUM
ijassa-1212	413	7	,	,	PUNCT
ijassa-1212	413	8	107	107	NUM
ijassa-1212	413	9	–	–	PUNCT
ijassa-1212	413	10	132	132	NUM
ijassa-1212	413	11	.	.	NOUN
ijassa-1212	413	12	9	9	NUM
ijassa-1212	413	13	.	.	X
ijassa-1212	414	1	zhilyakova	zhilyakova	PROPN
ijassa-1212	414	2	l.	l.	PROPN
ijassa-1212	414	3	yu	yu	PROPN
ijassa-1212	414	4	.	.	PROPN
ijassa-1212	414	5	,	,	PUNCT
ijassa-1212	414	6	kuznetsov	kuznetsov	PROPN
ijassa-1212	414	7	n.	n.	PROPN
ijassa-1212	414	8	a.	a.	PROPN
ijassa-1212	414	9	(	(	PUNCT
ijassa-1212	414	10	2021	2021	NUM
ijassa-1212	414	11	)	)	PUNCT
ijassa-1212	414	12	.	.	PUNCT
ijassa-1212	415	1	graph	graph	NOUN
ijassa-1212	415	2	methods	method	NOUN
ijassa-1212	415	3	for	for	ADP
ijassa-1212	415	4	solving	solve	VERB
ijassa-1212	415	5	the	the	DET
ijassa-1212	415	6	unconstrained	unconstrained	ADJ
ijassa-1212	415	7	and	and	CCONJ
ijassa-1212	415	8	constrained	constrain	VERB
ijassa-1212	415	9	optimal	optimal	ADJ
ijassa-1212	415	10	assignment	assignment	NOUN
ijassa-1212	415	11	problem	problem	NOUN
ijassa-1212	415	12	for	for	ADP
ijassa-1212	415	13	locomotives	locomotive	NOUN
ijassa-1212	415	14	on	on	ADP
ijassa-1212	415	15	a	a	DET
ijassa-1212	415	16	single	single	ADJ
ijassa-1212	415	17	-	-	PUNCT
ijassa-1212	415	18	line	line	NOUN
ijassa-1212	415	19	railway	railway	NOUN
ijassa-1212	415	20	section	section	NOUN
ijassa-1212	415	21	.	.	PUNCT
ijassa-1212	416	1	autom	autom	PROPN
ijassa-1212	416	2	.	.	PUNCT
ijassa-1212	417	1	remote	remote	ADJ
ijassa-1212	417	2	control	control	NOUN
ijassa-1212	417	3	,	,	PUNCT
ijassa-1212	417	4	82(5	82(5	NUM
ijassa-1212	417	5	)	)	PUNCT
ijassa-1212	417	6	,	,	PUNCT
ijassa-1212	417	7	780	780	NUM
ijassa-1212	417	8	–	–	PUNCT
ijassa-1212	417	9	797	797	NUM
ijassa-1212	417	10	.	.	X
ijassa-1212	417	11	10	10	NUM
ijassa-1212	417	12	.	.	PUNCT
ijassa-1212	418	1	zhilyakova	zhilyakova	PROPN
ijassa-1212	418	2	l.	l.	PROPN
ijassa-1212	418	3	yu	yu	PROPN
ijassa-1212	418	4	.	.	PROPN
ijassa-1212	418	5	,	,	PUNCT
ijassa-1212	418	6	kuznetsov	kuznetsov	PROPN
ijassa-1212	418	7	n.	n.	PROPN
ijassa-1212	418	8	a.	a.	PROPN
ijassa-1212	418	9	,	,	PUNCT
ijassa-1212	418	10	matyukhin	matyukhin	PROPN
ijassa-1212	418	11	v.	v.	PROPN
ijassa-1212	418	12	g.	g.	PROPN
ijassa-1212	418	13	,	,	PUNCT
ijassa-1212	418	14	shabunin	shabunin	PROPN
ijassa-1212	418	15	a.	a.	PROPN
ijassa-1212	418	16	b.	b.	PROPN
ijassa-1212	418	17	,	,	PUNCT
ijassa-1212	418	18	and	and	CCONJ
ijassa-1212	418	19	takmazian	takmazian	PROPN
ijassa-1212	418	20	a.	a.	PROPN
ijassa-1212	418	21	k.	k.	PROPN
ijassa-1212	418	22	(	(	PUNCT
ijassa-1212	418	23	2019	2019	NUM
ijassa-1212	418	24	)	)	PUNCT
ijassa-1212	418	25	.	.	PUNCT
ijassa-1212	419	1	locomotive	locomotive	ADJ
ijassa-1212	419	2	assignment	assignment	NOUN
ijassa-1212	419	3	graph	graph	NOUN
ijassa-1212	419	4	model	model	NOUN
ijassa-1212	419	5	for	for	ADP
ijassa-1212	419	6	freight	freight	NOUN
ijassa-1212	419	7	traffic	traffic	NOUN
ijassa-1212	419	8	on	on	ADP
ijassa-1212	419	9	linear	linear	ADJ
ijassa-1212	419	10	section	section	NOUN
ijassa-1212	419	11	of	of	ADP
ijassa-1212	419	12	railway	railway	NOUN
ijassa-1212	419	13	.	.	PUNCT
ijassa-1212	420	1	the	the	DET
ijassa-1212	420	2	problem	problem	NOUN
ijassa-1212	420	3	of	of	ADP
ijassa-1212	420	4	finding	find	VERB
ijassa-1212	420	5	a	a	DET
ijassa-1212	420	6	maximal	maximal	ADJ
ijassa-1212	420	7	independent	independent	ADJ
ijassa-1212	420	8	schedule	schedule	NOUN
ijassa-1212	420	9	coverage	coverage	NOUN
ijassa-1212	420	10	.	.	PUNCT
ijassa-1212	421	1	autom	autom	PROPN
ijassa-1212	421	2	.	.	PUNCT
ijassa-1212	422	1	remote	remote	ADJ
ijassa-1212	422	2	control	control	PROPN
ijassa-1212	422	3	,	,	PUNCT
ijassa-1212	422	4	80(5	80(5	NUM
ijassa-1212	422	5	)	)	PUNCT
ijassa-1212	422	6	,	,	PUNCT
ijassa-1212	422	7	946	946	NUM
ijassa-1212	422	8	–	–	PUNCT
ijassa-1212	422	9	963	963	NUM
ijassa-1212	422	10	.	.	NOUN
ijassa-1212	422	11	11	11	NUM
ijassa-1212	422	12	.	.	PUNCT
ijassa-1212	423	1	matyukhin	matyukhin	PROPN
ijassa-1212	423	2	v.	v.	PROPN
ijassa-1212	423	3	g.	g.	PROPN
ijassa-1212	423	4	,	,	PUNCT
ijassa-1212	423	5	shabunin	shabunin	PROPN
ijassa-1212	423	6	a.	a.	PROPN
ijassa-1212	423	7	b.	b.	PROPN
ijassa-1212	423	8	,	,	PUNCT
ijassa-1212	423	9	kuznetsov	kuznetsov	PROPN
ijassa-1212	423	10	n.	n.	PROPN
ijassa-1212	423	11	a.	a.	PROPN
ijassa-1212	423	12	,	,	PUNCT
ijassa-1212	423	13	and	and	CCONJ
ijassa-1212	423	14	takmazian	takmazian	PROPN
ijassa-1212	423	15	a.	a.	PROPN
ijassa-1212	423	16	k.	k.	PROPN
ijassa-1212	423	17	(	(	PUNCT
ijassa-1212	423	18	2017	2017	NUM
ijassa-1212	423	19	)	)	PUNCT
ijassa-1212	423	20	.	.	PUNCT
ijassa-1212	424	1	rail	rail	NOUN
ijassa-1212	424	2	transport	transport	NOUN
ijassa-1212	424	3	control	control	NOUN
ijassa-1212	424	4	by	by	ADP
ijassa-1212	424	5	combinatorial	combinatorial	ADJ
ijassa-1212	424	6	optimization	optimization	NOUN
ijassa-1212	424	7	approach	approach	NOUN
ijassa-1212	424	8	.	.	PUNCT
ijassa-1212	425	1	11th	11th	ADJ
ijassa-1212	425	2	ieee	ieee	PROPN
ijassa-1212	425	3	international	international	ADJ
ijassa-1212	425	4	conference	conference	NOUN
ijassa-1212	425	5	on	on	ADP
ijassa-1212	425	6	application	application	NOUN
ijassa-1212	425	7	of	of	ADP
ijassa-1212	425	8	information	information	NOUN
ijassa-1212	425	9	and	and	CCONJ
ijassa-1212	425	10	communication	communication	NOUN
ijassa-1212	425	11	technologies	technology	NOUN
ijassa-1212	425	12	,	,	PUNCT
ijassa-1212	425	13	1	1	NUM
ijassa-1212	425	14	,	,	PUNCT
ijassa-1212	425	15	419	419	NUM
ijassa-1212	425	16	–	–	PUNCT
ijassa-1212	425	17	422	422	NUM
ijassa-1212	425	18	.	.	PUNCT
ijassa-1212	425	19	12	12	NUM
ijassa-1212	425	20	.	.	PUNCT
ijassa-1212	426	1	boesch	boesch	PROPN
ijassa-1212	426	2	f.t	f.t	PROPN
ijassa-1212	426	3	.	.	PROPN
ijassa-1212	426	4	,	,	PUNCT
ijassa-1212	427	1	gimpel	gimpel	PROPN
ijassa-1212	427	2	j.f	j.f	PROPN
ijassa-1212	427	3	.	.	PROPN
ijassa-1212	427	4	(	(	PUNCT
ijassa-1212	427	5	1977	1977	NUM
ijassa-1212	427	6	)	)	PUNCT
ijassa-1212	427	7	.	.	PUNCT
ijassa-1212	428	1	covering	cover	VERB
ijassa-1212	428	2	the	the	DET
ijassa-1212	428	3	points	point	NOUN
ijassa-1212	428	4	of	of	ADP
ijassa-1212	428	5	digraph	digraph	NOUN
ijassa-1212	428	6	with	with	ADP
ijassa-1212	428	7	point	point	NOUN
ijassa-1212	428	8	-	-	PUNCT
ijassa-1212	428	9	disjoint	disjoint	NOUN
ijassa-1212	428	10	paths	path	NOUN
ijassa-1212	428	11	and	and	CCONJ
ijassa-1212	428	12	its	its	PRON
ijassa-1212	428	13	application	application	NOUN
ijassa-1212	428	14	to	to	PART
ijassa-1212	428	15	code	code	VERB
ijassa-1212	428	16	optimization	optimization	NOUN
ijassa-1212	428	17	.	.	PUNCT
ijassa-1212	429	1	j.	j.	PROPN
ijassa-1212	429	2	associat	associat	PROPN
ijassa-1212	429	3	.	.	PUNCT
ijassa-1212	430	1	comput	comput	PROPN
ijassa-1212	430	2	.	.	PUNCT
ijassa-1212	431	1	machin	machin	PROPN
ijassa-1212	431	2	.	.	PROPN
ijassa-1212	431	3	,	,	PUNCT
ijassa-1212	431	4	24(2	24(2	NUM
ijassa-1212	431	5	)	)	PUNCT
ijassa-1212	431	6	,	,	PUNCT
ijassa-1212	431	7	192	192	NUM
ijassa-1212	431	8	–	–	SYM
ijassa-1212	431	9	198	198	NUM
ijassa-1212	431	10	.	.	NOUN
ijassa-1212	431	11	13	13	NUM
ijassa-1212	431	12	.	.	X
ijassa-1212	431	13	noorvash	noorvash	VERB
ijassa-1212	431	14	sh	sh	PROPN
ijassa-1212	431	15	.	.	PUNCT
ijassa-1212	432	1	(	(	PUNCT
ijassa-1212	432	2	1975	1975	NUM
ijassa-1212	432	3	)	)	PUNCT
ijassa-1212	432	4	.	.	PUNCT
ijassa-1212	433	1	covering	cover	VERB
ijassa-1212	433	2	the	the	DET
ijassa-1212	433	3	vertices	vertex	NOUN
ijassa-1212	433	4	of	of	ADP
ijassa-1212	433	5	a	a	DET
ijassa-1212	433	6	graph	graph	NOUN
ijassa-1212	433	7	by	by	ADP
ijassa-1212	433	8	vertex	vertex	NOUN
ijassa-1212	433	9	-	-	PUNCT
ijassa-1212	433	10	disjoint	disjoint	NOUN
ijassa-1212	433	11	paths	path	NOUN
ijassa-1212	433	12	.	.	PUNCT
ijassa-1212	434	1	pacific	pacific	PROPN
ijassa-1212	434	2	j.	j.	PROPN
ijassa-1212	434	3	math	math	PROPN
ijassa-1212	434	4	.	.	PUNCT
ijassa-1212	434	5	,	,	PUNCT
ijassa-1212	434	6	58(1	58(1	NUM
ijassa-1212	434	7	)	)	PUNCT
ijassa-1212	434	8	,	,	PUNCT
ijassa-1212	434	9	159	159	NUM
ijassa-1212	434	10	–	–	SYM
ijassa-1212	434	11	168	168	NUM
ijassa-1212	434	12	.	.	PUNCT
ijassa-1212	435	1	14	14	NUM
ijassa-1212	435	2	.	.	PUNCT
ijassa-1212	435	3	jackson	jackson	PROPN
ijassa-1212	435	4	b.	b.	PROPN
ijassa-1212	435	5	and	and	CCONJ
ijassa-1212	435	6	ordaz	ordaz	PROPN
ijassa-1212	435	7	o.	o.	PROPN
ijassa-1212	435	8	(	(	PUNCT
ijassa-1212	435	9	1990	1990	NUM
ijassa-1212	435	10	)	)	PUNCT
ijassa-1212	435	11	.	.	PUNCT
ijassa-1212	436	1	chvátal	chvátal	ADJ
ijassa-1212	436	2	–	–	PUNCT
ijassa-1212	436	3	erdös	erdös	ADJ
ijassa-1212	436	4	conditions	condition	NOUN
ijassa-1212	436	5	for	for	ADP
ijassa-1212	436	6	paths	path	NOUN
ijassa-1212	436	7	and	and	CCONJ
ijassa-1212	436	8	cycles	cycle	NOUN
ijassa-1212	436	9	in	in	ADP
ijassa-1212	436	10	graphs	graph	NOUN
ijassa-1212	436	11	and	and	CCONJ
ijassa-1212	436	12	digraphs	digraph	NOUN
ijassa-1212	436	13	.	.	PUNCT
ijassa-1212	437	1	a	a	DET
ijassa-1212	437	2	survey	survey	NOUN
ijassa-1212	437	3	.	.	PUNCT
ijassa-1212	438	1	discret	discret	PROPN
ijassa-1212	438	2	.	.	PUNCT
ijassa-1212	438	3	math	math	PROPN
ijassa-1212	438	4	.	.	PUNCT
ijassa-1212	438	5	,	,	PUNCT
ijassa-1212	438	6	84(3	84(3	NUM
ijassa-1212	438	7	)	)	PUNCT
ijassa-1212	438	8	,	,	PUNCT
ijassa-1212	438	9	241	241	NUM
ijassa-1212	438	10	–	–	PUNCT
ijassa-1212	438	11	254	254	NUM
ijassa-1212	438	12	.	.	X
ijassa-1212	439	1	15	15	NUM
ijassa-1212	439	2	.	.	PUNCT
ijassa-1212	440	1	chvátal	chvátal	PROPN
ijassa-1212	440	2	v.	v.	PROPN
ijassa-1212	440	3	and	and	CCONJ
ijassa-1212	440	4	erdös	erdös	PROPN
ijassa-1212	440	5	p.	p.	PROPN
ijassa-1212	440	6	(	(	PUNCT
ijassa-1212	440	7	1972	1972	NUM
ijassa-1212	440	8	)	)	PUNCT
ijassa-1212	440	9	.	.	PUNCT
ijassa-1212	441	1	a	a	DET
ijassa-1212	441	2	note	note	NOUN
ijassa-1212	441	3	on	on	ADP
ijassa-1212	441	4	hamilonian	hamilonian	ADJ
ijassa-1212	441	5	circuits	circuit	NOUN
ijassa-1212	441	6	.	.	PUNCT
ijassa-1212	442	1	discret	discret	PROPN
ijassa-1212	442	2	.	.	PUNCT
ijassa-1212	442	3	math	math	PROPN
ijassa-1212	442	4	.	.	PUNCT
ijassa-1212	443	1	,	,	PUNCT
ijassa-1212	443	2	2	2	NUM
ijassa-1212	443	3	,	,	PUNCT
ijassa-1212	443	4	111	111	NUM
ijassa-1212	443	5	–	–	SYM
ijassa-1212	443	6	113	113	NUM
ijassa-1212	443	7	.	.	X
ijassa-1212	443	8	16	16	NUM
ijassa-1212	443	9	.	.	PUNCT
ijassa-1212	444	1	sivanandam	sivanandam	PROPN
ijassa-1212	444	2	s.	s.	PROPN
ijassa-1212	444	3	,	,	PUNCT
ijassa-1212	444	4	deepa	deepa	PROPN
ijassa-1212	444	5	s.	s.	PROPN
ijassa-1212	444	6	(	(	PUNCT
ijassa-1212	444	7	2008	2008	NUM
ijassa-1212	444	8	)	)	PUNCT
ijassa-1212	444	9	.	.	PUNCT
ijassa-1212	445	1	genetic	genetic	ADJ
ijassa-1212	445	2	algorithms	algorithm	NOUN
ijassa-1212	445	3	.	.	PUNCT
ijassa-1212	446	1	introduction	introduction	NOUN
ijassa-1212	446	2	to	to	ADP
ijassa-1212	446	3	genetic	genetic	ADJ
ijassa-1212	446	4	algorithms	algorithm	NOUN
ijassa-1212	446	5	.	.	PUNCT
ijassa-1212	447	1	springer	springer	NOUN
ijassa-1212	447	2	,	,	PUNCT
ijassa-1212	447	3	berlin	berlin	PROPN
ijassa-1212	447	4	,	,	PUNCT
ijassa-1212	447	5	heidelberg	heidelberg	PROPN
ijassa-1212	447	6	.	.	PUNCT
ijassa-1212	448	1	p.	p.	NOUN
ijassa-1212	448	2	15	15	NUM
ijassa-1212	448	3	–	–	PUNCT
ijassa-1212	448	4	37	37	NUM
ijassa-1212	448	5	.	.	X
ijassa-1212	448	6	17	17	NUM
ijassa-1212	448	7	.	.	PUNCT
ijassa-1212	449	1	mirjalili	mirjalili	PROPN
ijassa-1212	449	2	s.	s.	PROPN
ijassa-1212	449	3	(	(	PUNCT
ijassa-1212	449	4	2019	2019	NUM
ijassa-1212	449	5	)	)	PUNCT
ijassa-1212	449	6	.	.	PUNCT
ijassa-1212	450	1	genetic	genetic	ADJ
ijassa-1212	450	2	algorithm	algorithm	NOUN
ijassa-1212	450	3	.	.	PUNCT
ijassa-1212	451	1	evolutionary	evolutionary	ADJ
ijassa-1212	451	2	algorithms	algorithm	NOUN
ijassa-1212	451	3	and	and	CCONJ
ijassa-1212	451	4	neural	neural	ADJ
ijassa-1212	451	5	networks	network	NOUN
ijassa-1212	451	6	.	.	PUNCT
ijassa-1212	452	1	studies	study	NOUN
ijassa-1212	452	2	in	in	ADP
ijassa-1212	452	3	computational	computational	ADJ
ijassa-1212	452	4	intelligence	intelligence	NOUN
ijassa-1212	452	5	,	,	PUNCT
ijassa-1212	452	6	vol	vol	NOUN
ijassa-1212	452	7	780	780	NUM
ijassa-1212	452	8	.	.	PUNCT
ijassa-1212	452	9	springer	springer	NOUN
ijassa-1212	452	10	,	,	PUNCT
ijassa-1212	452	11	cham	cham	PROPN
ijassa-1212	452	12	.	.	PUNCT
ijassa-1212	453	1	43	43	NUM
ijassa-1212	453	2	–	–	PUNCT
ijassa-1212	453	3	55	55	NUM
ijassa-1212	453	4	.	.	PUNCT
ijassa-1212	454	1	copyright	copyright	NOUN
ijassa-1212	454	2	©	©	PROPN
ijassa-1212	454	3	2022	2022	NUM
ijassa-1212	454	4	assa	assa	NOUN
ijassa-1212	454	5	.	.	PUNCT
ijassa-1212	455	1	adv	adv	PROPN
ijassa-1212	455	2	syst	syst	PROPN
ijassa-1212	455	3	sci	sci	PROPN
ijassa-1212	455	4	appl	appl	PROPN
ijassa-1212	455	5	(	(	PUNCT
ijassa-1212	455	6	2022	2022	NUM
ijassa-1212	455	7	)	)	PUNCT
ijassa-1212	455	8	introduction	introduction	NOUN
ijassa-1212	455	9	graph	graph	NOUN
ijassa-1212	455	10	model	model	NOUN
ijassa-1212	455	11	of	of	ADP
ijassa-1212	455	12	the	the	DET
ijassa-1212	455	13	problem	problem	NOUN
ijassa-1212	455	14	basic	basic	ADJ
ijassa-1212	455	15	definitions	definition	NOUN
ijassa-1212	455	16	reachability	reachability	NOUN
ijassa-1212	455	17	graph	graph	NOUN
ijassa-1212	455	18	transformations	transformation	NOUN
ijassa-1212	455	19	of	of	ADP
ijassa-1212	455	20	reachability	reachability	NOUN
ijassa-1212	455	21	graph	graph	NOUN
ijassa-1212	455	22	layer	layer	NOUN
ijassa-1212	455	23	-	-	PUNCT
ijassa-1212	455	24	by	by	ADP
ijassa-1212	455	25	-	-	PUNCT
ijassa-1212	455	26	layer	layer	NOUN
ijassa-1212	455	27	structure	structure	NOUN
ijassa-1212	455	28	.	.	PUNCT
ijassa-1212	456	1	elimination	elimination	NOUN
ijassa-1212	456	2	of	of	ADP
ijassa-1212	456	3	transitive	transitive	ADJ
ijassa-1212	456	4	closure	closure	NOUN
ijassa-1212	456	5	.	.	PUNCT
ijassa-1212	457	1	cloning	cloning	NOUN
ijassa-1212	457	2	vertices	vertex	NOUN
ijassa-1212	457	3	to	to	ADP
ijassa-1212	457	4	all	all	DET
ijassa-1212	457	5	the	the	DET
ijassa-1212	457	6	layers	layer	NOUN
ijassa-1212	457	7	.	.	PUNCT
ijassa-1212	458	1	solving	solve	VERB
ijassa-1212	458	2	the	the	DET
ijassa-1212	458	3	problem	problem	NOUN
ijassa-1212	458	4	without	without	ADP
ijassa-1212	458	5	time	time	NOUN
ijassa-1212	458	6	constraints	constraint	NOUN
ijassa-1212	458	7	finding	find	VERB
ijassa-1212	458	8	the	the	DET
ijassa-1212	458	9	minimal	minimal	ADJ
ijassa-1212	458	10	path	path	NOUN
ijassa-1212	458	11	cover	cover	VERB
ijassa-1212	458	12	formal	formal	ADJ
ijassa-1212	458	13	definitions	definition	NOUN
ijassa-1212	458	14	optimal	optimal	ADJ
ijassa-1212	458	15	solution	solution	NOUN
ijassa-1212	458	16	correcting	correct	VERB
ijassa-1212	458	17	invalid	invalid	ADJ
ijassa-1212	458	18	solution	solution	NOUN
ijassa-1212	458	19	crossover	crossover	ADP
ijassa-1212	458	20	and	and	CCONJ
ijassa-1212	458	21	changeover	changeover	NOUN
ijassa-1212	458	22	operations	operation	NOUN
ijassa-1212	458	23	.	.	PUNCT
ijassa-1212	459	1	distance	distance	NOUN
ijassa-1212	459	2	between	between	ADP
ijassa-1212	459	3	paths	path	NOUN
ijassa-1212	459	4	crossover	crossover	NOUN
ijassa-1212	459	5	.	.	PUNCT
ijassa-1212	460	1	changeover	changeover	NOUN
ijassa-1212	460	2	.	.	PUNCT
ijassa-1212	461	1	distance	distance	NOUN
ijassa-1212	461	2	between	between	ADP
ijassa-1212	461	3	paths	path	NOUN
ijassa-1212	461	4	.	.	PUNCT
ijassa-1212	462	1	changing	change	VERB
ijassa-1212	462	2	locomotive	locomotive	ADJ
ijassa-1212	462	3	assignment	assignment	NOUN
ijassa-1212	462	4	algorithm	algorithm	NOUN
ijassa-1212	462	5	for	for	ADP
ijassa-1212	462	6	improving	improve	VERB
ijassa-1212	462	7	invalid	invalid	ADJ
ijassa-1212	462	8	paths	path	NOUN
ijassa-1212	462	9	in	in	ADP
ijassa-1212	462	10	the	the	DET
ijassa-1212	462	11	minimal	minimal	ADJ
ijassa-1212	462	12	cover	cover	NOUN
ijassa-1212	462	13	conclusions	conclusion	NOUN