id	sid	tid	token	lemma	pos
ajst-26221	1	1	academic	academic	ADJ
ajst-26221	1	2	journal	journal	NOUN
ajst-26221	1	3	of	of	ADP
ajst-26221	1	4	science	science	NOUN
ajst-26221	1	5	and	and	CCONJ
ajst-26221	1	6	technology	technology	NOUN
ajst-26221	1	7	issn	issn	NOUN
ajst-26221	1	8	:	:	PUNCT
ajst-26221	1	9	2771	2771	NUM
ajst-26221	1	10	-	-	SYM
ajst-26221	1	11	3032	3032	NUM
ajst-26221	1	12	|	|	NOUN
ajst-26221	1	13	vol	vol	NOUN
ajst-26221	1	14	.	.	PROPN
ajst-26221	2	1	12	12	NUM
ajst-26221	2	2	,	,	PUNCT
ajst-26221	2	3	no	no	INTJ
ajst-26221	2	4	.	.	NOUN
ajst-26221	2	5	3	3	NUM
ajst-26221	2	6	,	,	PUNCT
ajst-26221	2	7	2024	2024	NUM
ajst-26221	2	8	217	217	NUM
ajst-26221	2	9	study	study	NOUN
ajst-26221	2	10	of	of	ADP
ajst-26221	2	11	optimal	optimal	ADJ
ajst-26221	2	12	cutting	cutting	NOUN
ajst-26221	2	13	paths	path	NOUN
ajst-26221	2	14	for	for	ADP
ajst-26221	2	15	steel	steel	NOUN
ajst-26221	2	16	plates	plate	NOUN
ajst-26221	2	17	based	base	VERB
ajst-26221	2	18	on	on	ADP
ajst-26221	2	19	enumeration	enumeration	NOUN
ajst-26221	2	20	and	and	CCONJ
ajst-26221	2	21	nonlinear	nonlinear	ADJ
ajst-26221	2	22	programming	programming	PROPN
ajst-26221	2	23	yongheng	yongheng	PROPN
ajst-26221	2	24	shen	shen	PROPN
ajst-26221	2	25	*	*	PROPN
ajst-26221	2	26	school	school	NOUN
ajst-26221	2	27	of	of	ADP
ajst-26221	2	28	transportation	transportation	NOUN
ajst-26221	2	29	and	and	CCONJ
ajst-26221	2	30	vehicle	vehicle	NOUN
ajst-26221	2	31	engineering	engineering	NOUN
ajst-26221	2	32	,	,	PUNCT
ajst-26221	2	33	shandong	shandong	PROPN
ajst-26221	2	34	university	university	PROPN
ajst-26221	2	35	of	of	ADP
ajst-26221	2	36	technology	technology	PROPN
ajst-26221	2	37	,	,	PUNCT
ajst-26221	2	38	zibo	zibo	PROPN
ajst-26221	2	39	,	,	PUNCT
ajst-26221	2	40	255000	255000	NUM
ajst-26221	2	41	,	,	PUNCT
ajst-26221	2	42	china	china	PROPN
ajst-26221	2	43	.	.	PUNCT
ajst-26221	3	1	*	*	PUNCT
ajst-26221	3	2	correspondence	correspondence	NOUN
ajst-26221	3	3	should	should	AUX
ajst-26221	3	4	be	be	AUX
ajst-26221	3	5	addressed	address	VERB
ajst-26221	3	6	to	to	ADP
ajst-26221	3	7	yongheng	yongheng	PROPN
ajst-26221	3	8	shen	shen	PROPN
ajst-26221	3	9	:	:	PUNCT
ajst-26221	4	1	18678580683@163.com	18678580683@163.com	X
ajst-26221	4	2	.	.	X
ajst-26221	5	1	abstract	abstract	ADJ
ajst-26221	5	2	:	:	PUNCT
ajst-26221	5	3	with	with	ADP
ajst-26221	5	4	the	the	DET
ajst-26221	5	5	development	development	NOUN
ajst-26221	5	6	of	of	ADP
ajst-26221	5	7	society	society	NOUN
ajst-26221	5	8	and	and	CCONJ
ajst-26221	5	9	economy	economy	NOUN
ajst-26221	5	10	,	,	PUNCT
ajst-26221	5	11	mould	mould	NOUN
ajst-26221	5	12	processing	processing	NOUN
ajst-26221	5	13	enterprises	enterprise	NOUN
ajst-26221	5	14	have	have	VERB
ajst-26221	5	15	an	an	DET
ajst-26221	5	16	increasingly	increasingly	ADV
ajst-26221	5	17	strong	strong	ADJ
ajst-26221	5	18	need	need	NOUN
ajst-26221	5	19	to	to	PART
ajst-26221	5	20	reduce	reduce	VERB
ajst-26221	5	21	costs	cost	NOUN
ajst-26221	5	22	and	and	CCONJ
ajst-26221	5	23	increase	increase	VERB
ajst-26221	5	24	economic	economic	ADJ
ajst-26221	5	25	efficiency	efficiency	NOUN
ajst-26221	5	26	.	.	PUNCT
ajst-26221	6	1	improving	improve	VERB
ajst-26221	6	2	the	the	DET
ajst-26221	6	3	efficiency	efficiency	NOUN
ajst-26221	6	4	of	of	ADP
ajst-26221	6	5	the	the	DET
ajst-26221	6	6	cutting	cut	VERB
ajst-26221	6	7	process	process	NOUN
ajst-26221	6	8	is	be	AUX
ajst-26221	6	9	one	one	NUM
ajst-26221	6	10	of	of	ADP
ajst-26221	6	11	the	the	DET
ajst-26221	6	12	key	key	ADJ
ajst-26221	6	13	links	link	NOUN
ajst-26221	6	14	to	to	PART
ajst-26221	6	15	achieve	achieve	VERB
ajst-26221	6	16	this	this	DET
ajst-26221	6	17	goal	goal	NOUN
ajst-26221	6	18	,	,	PUNCT
ajst-26221	6	19	and	and	CCONJ
ajst-26221	6	20	the	the	DET
ajst-26221	6	21	planning	planning	NOUN
ajst-26221	6	22	of	of	ADP
ajst-26221	6	23	the	the	DET
ajst-26221	6	24	cutting	cutting	NOUN
ajst-26221	6	25	path	path	NOUN
ajst-26221	6	26	occupies	occupy	VERB
ajst-26221	6	27	a	a	DET
ajst-26221	6	28	major	major	ADJ
ajst-26221	6	29	position	position	NOUN
ajst-26221	6	30	in	in	ADP
ajst-26221	6	31	it	it	PRON
ajst-26221	6	32	.	.	PUNCT
ajst-26221	7	1	under	under	ADP
ajst-26221	7	2	the	the	DET
ajst-26221	7	3	condition	condition	NOUN
ajst-26221	7	4	that	that	SCONJ
ajst-26221	7	5	the	the	DET
ajst-26221	7	6	actual	actual	ADJ
ajst-26221	7	7	cutting	cutting	NOUN
ajst-26221	7	8	distance	distance	NOUN
ajst-26221	7	9	is	be	AUX
ajst-26221	7	10	fixed	fix	VERB
ajst-26221	7	11	,	,	PUNCT
ajst-26221	7	12	the	the	DET
ajst-26221	7	13	shortest	short	ADJ
ajst-26221	7	14	air	air	NOUN
ajst-26221	7	15	distance	distance	NOUN
ajst-26221	7	16	becomes	become	VERB
ajst-26221	7	17	the	the	DET
ajst-26221	7	18	goal	goal	NOUN
ajst-26221	7	19	pursued	pursue	VERB
ajst-26221	7	20	by	by	ADP
ajst-26221	7	21	enterprises	enterprise	NOUN
ajst-26221	7	22	.	.	PUNCT
ajst-26221	8	1	in	in	ADP
ajst-26221	8	2	this	this	DET
ajst-26221	8	3	paper	paper	NOUN
ajst-26221	8	4	,	,	PUNCT
ajst-26221	8	5	the	the	DET
ajst-26221	8	6	optimal	optimal	ADJ
ajst-26221	8	7	cutting	cutting	NOUN
ajst-26221	8	8	path	path	NOUN
ajst-26221	8	9	problem	problem	NOUN
ajst-26221	8	10	for	for	ADP
ajst-26221	8	11	steel	steel	NOUN
ajst-26221	8	12	plates	plate	NOUN
ajst-26221	8	13	is	be	AUX
ajst-26221	8	14	studied	study	VERB
ajst-26221	8	15	,	,	PUNCT
ajst-26221	8	16	and	and	CCONJ
ajst-26221	8	17	the	the	DET
ajst-26221	8	18	optimal	optimal	ADJ
ajst-26221	8	19	paths	path	NOUN
ajst-26221	8	20	under	under	ADP
ajst-26221	8	21	different	different	ADJ
ajst-26221	8	22	cutting	cutting	NOUN
ajst-26221	8	23	tasks	task	NOUN
ajst-26221	8	24	are	be	AUX
ajst-26221	8	25	found	find	VERB
ajst-26221	8	26	by	by	ADP
ajst-26221	8	27	enumeration	enumeration	NOUN
ajst-26221	8	28	method	method	NOUN
ajst-26221	8	29	and	and	CCONJ
ajst-26221	8	30	nonlinear	nonlinear	ADJ
ajst-26221	8	31	planning	planning	NOUN
ajst-26221	8	32	model	model	NOUN
ajst-26221	8	33	.	.	PUNCT
ajst-26221	9	1	keywords	keyword	NOUN
ajst-26221	9	2	:	:	PUNCT
ajst-26221	9	3	plate	plate	NOUN
ajst-26221	9	4	cutting	cut	VERB
ajst-26221	9	5	path	path	NOUN
ajst-26221	9	6	optimisation	optimisation	NOUN
ajst-26221	9	7	;	;	PUNCT
ajst-26221	9	8	shortest	short	ADJ
ajst-26221	9	9	path	path	NOUN
ajst-26221	9	10	for	for	ADP
ajst-26221	9	11	air	air	NOUN
ajst-26221	9	12	travel	travel	NOUN
ajst-26221	9	13	;	;	PUNCT
ajst-26221	9	14	enumeration	enumeration	NOUN
ajst-26221	9	15	;	;	PUNCT
ajst-26221	9	16	non	non	ADJ
ajst-26221	9	17	-	-	ADJ
ajst-26221	9	18	linear	linear	ADJ
ajst-26221	9	19	planning	planning	NOUN
ajst-26221	9	20	models	model	NOUN
ajst-26221	9	21	;	;	PUNCT
ajst-26221	9	22	mould	mould	NOUN
ajst-26221	9	23	processing	processing	NOUN
ajst-26221	9	24	efficiency	efficiency	NOUN
ajst-26221	9	25	.	.	PUNCT
ajst-26221	10	1	1	1	X
ajst-26221	10	2	.	.	X
ajst-26221	10	3	introduction	introduction	NOUN
ajst-26221	10	4	with	with	ADP
ajst-26221	10	5	the	the	DET
ajst-26221	10	6	acceleration	acceleration	NOUN
ajst-26221	10	7	of	of	ADP
ajst-26221	10	8	industrialization	industrialization	NOUN
ajst-26221	10	9	and	and	CCONJ
ajst-26221	10	10	the	the	DET
ajst-26221	10	11	increasing	increase	VERB
ajst-26221	10	12	demand	demand	NOUN
ajst-26221	10	13	for	for	ADP
ajst-26221	10	14	product	product	NOUN
ajst-26221	10	15	personalization	personalization	NOUN
ajst-26221	10	16	,	,	PUNCT
ajst-26221	10	17	mold	mold	NOUN
ajst-26221	10	18	processing	processing	NOUN
ajst-26221	10	19	enterprises	enterprise	NOUN
ajst-26221	10	20	are	be	AUX
ajst-26221	10	21	increasingly	increasingly	ADV
ajst-26221	10	22	urgent	urgent	ADJ
ajst-26221	10	23	in	in	ADP
ajst-26221	10	24	their	their	PRON
ajst-26221	10	25	need	need	NOUN
ajst-26221	10	26	to	to	PART
ajst-26221	10	27	reduce	reduce	VERB
ajst-26221	10	28	costs	cost	NOUN
ajst-26221	10	29	,	,	PUNCT
ajst-26221	10	30	improve	improve	VERB
ajst-26221	10	31	efficiency	efficiency	NOUN
ajst-26221	10	32	,	,	PUNCT
ajst-26221	10	33	and	and	CCONJ
ajst-26221	10	34	increase	increase	VERB
ajst-26221	10	35	economic	economic	ADJ
ajst-26221	10	36	benefits	benefit	NOUN
ajst-26221	10	37	[	[	X
ajst-26221	10	38	1	1	NUM
ajst-26221	10	39	]	]	PUNCT
ajst-26221	10	40	.	.	PUNCT
ajst-26221	11	1	steel	steel	NOUN
ajst-26221	11	2	plate	plate	NOUN
ajst-26221	11	3	cutting	cutting	NOUN
ajst-26221	11	4	,	,	PUNCT
ajst-26221	11	5	as	as	ADP
ajst-26221	11	6	a	a	DET
ajst-26221	11	7	critical	critical	ADJ
ajst-26221	11	8	process	process	NOUN
ajst-26221	11	9	in	in	ADP
ajst-26221	11	10	mold	mold	NOUN
ajst-26221	11	11	manufacturing	manufacturing	NOUN
ajst-26221	11	12	,	,	PUNCT
ajst-26221	11	13	is	be	AUX
ajst-26221	11	14	essential	essential	ADJ
ajst-26221	11	15	for	for	ADP
ajst-26221	11	16	enhancing	enhance	VERB
ajst-26221	11	17	the	the	DET
ajst-26221	11	18	overall	overall	ADJ
ajst-26221	11	19	efficiency	efficiency	NOUN
ajst-26221	11	20	of	of	ADP
ajst-26221	11	21	the	the	DET
ajst-26221	11	22	enterprise	enterprise	NOUN
ajst-26221	11	23	[	[	X
ajst-26221	11	24	2	2	NUM
ajst-26221	11	25	]	]	PUNCT
ajst-26221	11	26	.	.	PUNCT
ajst-26221	12	1	steel	steel	NOUN
ajst-26221	12	2	plate	plate	NOUN
ajst-26221	12	3	cutting	cut	VERB
ajst-26221	12	4	involves	involve	NOUN
ajst-26221	12	5	using	use	VERB
ajst-26221	12	6	specialized	specialized	ADJ
ajst-26221	12	7	cutting	cut	VERB
ajst-26221	12	8	techniques	technique	NOUN
ajst-26221	12	9	to	to	PART
ajst-26221	12	10	process	process	VERB
ajst-26221	12	11	steel	steel	NOUN
ajst-26221	12	12	plates	plate	NOUN
ajst-26221	12	13	based	base	VERB
ajst-26221	12	14	on	on	ADP
ajst-26221	12	15	given	give	VERB
ajst-26221	12	16	cutting	cut	VERB
ajst-26221	12	17	layout	layout	NOUN
ajst-26221	12	18	drawings	drawing	NOUN
ajst-26221	12	19	,	,	PUNCT
ajst-26221	12	20	and	and	CCONJ
ajst-26221	12	21	the	the	DET
ajst-26221	12	22	planning	planning	NOUN
ajst-26221	12	23	of	of	ADP
ajst-26221	12	24	the	the	DET
ajst-26221	12	25	cutting	cutting	NOUN
ajst-26221	12	26	path	path	NOUN
ajst-26221	12	27	is	be	AUX
ajst-26221	12	28	a	a	DET
ajst-26221	12	29	key	key	ADJ
ajst-26221	12	30	aspect	aspect	NOUN
ajst-26221	12	31	of	of	ADP
ajst-26221	12	32	this	this	DET
ajst-26221	12	33	process	process	NOUN
ajst-26221	12	34	[	[	X
ajst-26221	12	35	3	3	NUM
ajst-26221	12	36	]	]	PUNCT
ajst-26221	12	37	.	.	PUNCT
ajst-26221	13	1	optimizing	optimize	VERB
ajst-26221	13	2	the	the	DET
ajst-26221	13	3	cutting	cutting	NOUN
ajst-26221	13	4	path	path	NOUN
ajst-26221	13	5	can	can	AUX
ajst-26221	13	6	bring	bring	VERB
ajst-26221	13	7	multiple	multiple	ADJ
ajst-26221	13	8	benefits	benefit	NOUN
ajst-26221	13	9	.	.	PUNCT
ajst-26221	14	1	in	in	ADP
ajst-26221	14	2	actual	actual	ADJ
ajst-26221	14	3	production	production	NOUN
ajst-26221	14	4	,	,	PUNCT
ajst-26221	14	5	the	the	DET
ajst-26221	14	6	path	path	NOUN
ajst-26221	14	7	planning	planning	NOUN
ajst-26221	14	8	for	for	ADP
ajst-26221	14	9	steel	steel	NOUN
ajst-26221	14	10	plate	plate	NOUN
ajst-26221	14	11	cutting	cutting	NOUN
ajst-26221	14	12	involves	involve	VERB
ajst-26221	14	13	complex	complex	ADJ
ajst-26221	14	14	calculations	calculation	NOUN
ajst-26221	14	15	and	and	CCONJ
ajst-26221	14	16	optimization	optimization	NOUN
ajst-26221	14	17	problems	problem	NOUN
ajst-26221	14	18	[	[	X
ajst-26221	14	19	4	4	NUM
ajst-26221	14	20	]	]	PUNCT
ajst-26221	14	21	.	.	PUNCT
ajst-26221	15	1	how	how	SCONJ
ajst-26221	15	2	to	to	PART
ajst-26221	15	3	achieve	achieve	VERB
ajst-26221	15	4	the	the	DET
ajst-26221	15	5	shortest	short	ADJ
ajst-26221	15	6	empty	empty	ADJ
ajst-26221	15	7	travel	travel	NOUN
ajst-26221	15	8	and	and	CCONJ
ajst-26221	15	9	the	the	DET
ajst-26221	15	10	shortest	short	ADJ
ajst-26221	15	11	processing	processing	NOUN
ajst-26221	15	12	time	time	NOUN
ajst-26221	15	13	while	while	SCONJ
ajst-26221	15	14	ensuring	ensure	VERB
ajst-26221	15	15	cutting	cut	VERB
ajst-26221	15	16	quality	quality	NOUN
ajst-26221	15	17	is	be	AUX
ajst-26221	15	18	a	a	DET
ajst-26221	15	19	problem	problem	NOUN
ajst-26221	15	20	worthy	worthy	ADJ
ajst-26221	15	21	of	of	ADP
ajst-26221	15	22	in	in	ADP
ajst-26221	15	23	-	-	PUNCT
ajst-26221	15	24	depth	depth	NOUN
ajst-26221	15	25	research	research	NOUN
ajst-26221	15	26	.	.	PUNCT
ajst-26221	16	1	the	the	DET
ajst-26221	16	2	optimization	optimization	NOUN
ajst-26221	16	3	of	of	ADP
ajst-26221	16	4	the	the	DET
ajst-26221	16	5	steel	steel	NOUN
ajst-26221	16	6	plate	plate	NOUN
ajst-26221	16	7	cutting	cut	VERB
ajst-26221	16	8	path	path	NOUN
ajst-26221	16	9	not	not	PART
ajst-26221	16	10	only	only	ADV
ajst-26221	16	11	needs	need	VERB
ajst-26221	16	12	to	to	PART
ajst-26221	16	13	consider	consider	VERB
ajst-26221	16	14	production	production	NOUN
ajst-26221	16	15	efficiency	efficiency	NOUN
ajst-26221	16	16	and	and	CCONJ
ajst-26221	16	17	cost	cost	NOUN
ajst-26221	16	18	but	but	CCONJ
ajst-26221	16	19	also	also	ADV
ajst-26221	16	20	must	must	AUX
ajst-26221	16	21	take	take	VERB
ajst-26221	16	22	into	into	ADP
ajst-26221	16	23	account	account	NOUN
ajst-26221	16	24	the	the	DET
ajst-26221	16	25	utilization	utilization	NOUN
ajst-26221	16	26	rate	rate	NOUN
ajst-26221	16	27	of	of	ADP
ajst-26221	16	28	raw	raw	ADJ
ajst-26221	16	29	materials	material	NOUN
ajst-26221	16	30	,	,	PUNCT
ajst-26221	16	31	equipment	equipment	NOUN
ajst-26221	16	32	utilization	utilization	NOUN
ajst-26221	16	33	,	,	PUNCT
ajst-26221	16	34	and	and	CCONJ
ajst-26221	16	35	the	the	DET
ajst-26221	16	36	coordination	coordination	NOUN
ajst-26221	16	37	of	of	ADP
ajst-26221	16	38	production	production	NOUN
ajst-26221	16	39	scheduling	scheduling	NOUN
ajst-26221	16	40	.	.	PUNCT
ajst-26221	17	1	therefore	therefore	ADV
ajst-26221	17	2	,	,	PUNCT
ajst-26221	17	3	the	the	DET
ajst-26221	17	4	study	study	NOUN
ajst-26221	17	5	of	of	ADP
ajst-26221	17	6	steel	steel	NOUN
ajst-26221	17	7	plate	plate	NOUN
ajst-26221	17	8	cutting	cut	VERB
ajst-26221	17	9	path	path	NOUN
ajst-26221	17	10	planning	planning	NOUN
ajst-26221	17	11	is	be	AUX
ajst-26221	17	12	of	of	ADP
ajst-26221	17	13	great	great	ADJ
ajst-26221	17	14	significance	significance	NOUN
ajst-26221	17	15	for	for	SCONJ
ajst-26221	17	16	mold	mold	NOUN
ajst-26221	17	17	processing	processing	NOUN
ajst-26221	17	18	enterprises	enterprise	NOUN
ajst-26221	17	19	to	to	PART
ajst-26221	17	20	enhance	enhance	VERB
ajst-26221	17	21	their	their	PRON
ajst-26221	17	22	competitiveness	competitiveness	NOUN
ajst-26221	17	23	,	,	PUNCT
ajst-26221	17	24	reduce	reduce	VERB
ajst-26221	17	25	production	production	NOUN
ajst-26221	17	26	costs	cost	NOUN
ajst-26221	17	27	,	,	PUNCT
ajst-26221	17	28	and	and	CCONJ
ajst-26221	17	29	achieve	achieve	VERB
ajst-26221	17	30	sustainable	sustainable	ADJ
ajst-26221	17	31	development	development	NOUN
ajst-26221	17	32	.	.	PUNCT
ajst-26221	18	1	through	through	ADP
ajst-26221	18	2	the	the	DET
ajst-26221	18	3	optimization	optimization	NOUN
ajst-26221	18	4	of	of	ADP
ajst-26221	18	5	steel	steel	NOUN
ajst-26221	18	6	plate	plate	NOUN
ajst-26221	18	7	cutting	cut	VERB
ajst-26221	18	8	path	path	NOUN
ajst-26221	18	9	planning	planning	NOUN
ajst-26221	18	10	,	,	PUNCT
ajst-26221	18	11	enterprises	enterprise	NOUN
ajst-26221	18	12	can	can	AUX
ajst-26221	18	13	realize	realize	VERB
ajst-26221	18	14	intelligent	intelligent	ADJ
ajst-26221	18	15	and	and	CCONJ
ajst-26221	18	16	digitalized	digitalized	ADJ
ajst-26221	18	17	production	production	NOUN
ajst-26221	18	18	processes	process	NOUN
ajst-26221	18	19	,	,	PUNCT
ajst-26221	18	20	providing	provide	VERB
ajst-26221	18	21	more	more	ADV
ajst-26221	18	22	competitive	competitive	ADJ
ajst-26221	18	23	advantages	advantage	NOUN
ajst-26221	18	24	.	.	PUNCT
ajst-26221	19	1	this	this	PRON
ajst-26221	19	2	helps	help	VERB
ajst-26221	19	3	to	to	PART
ajst-26221	19	4	meet	meet	VERB
ajst-26221	19	5	the	the	DET
ajst-26221	19	6	personalized	personalize	VERB
ajst-26221	19	7	needs	need	NOUN
ajst-26221	19	8	of	of	ADP
ajst-26221	19	9	customers	customer	NOUN
ajst-26221	19	10	and	and	CCONJ
ajst-26221	19	11	further	far	ADV
ajst-26221	19	12	promotes	promote	VERB
ajst-26221	19	13	the	the	DET
ajst-26221	19	14	improvement	improvement	NOUN
ajst-26221	19	15	of	of	ADP
ajst-26221	19	16	production	production	NOUN
ajst-26221	19	17	efficiency	efficiency	NOUN
ajst-26221	19	18	and	and	CCONJ
ajst-26221	19	19	resource	resource	NOUN
ajst-26221	19	20	utilization	utilization	NOUN
ajst-26221	19	21	optimization	optimization	NOUN
ajst-26221	19	22	in	in	ADP
ajst-26221	19	23	the	the	DET
ajst-26221	19	24	entire	entire	ADJ
ajst-26221	19	25	industry	industry	NOUN
ajst-26221	19	26	.	.	PUNCT
ajst-26221	20	1	thus	thus	ADV
ajst-26221	20	2	,	,	PUNCT
ajst-26221	20	3	in	in	ADP
ajst-26221	20	4	-	-	PUNCT
ajst-26221	20	5	depth	depth	NOUN
ajst-26221	20	6	research	research	NOUN
ajst-26221	20	7	on	on	ADP
ajst-26221	20	8	the	the	DET
ajst-26221	20	9	problem	problem	NOUN
ajst-26221	20	10	of	of	ADP
ajst-26221	20	11	steel	steel	NOUN
ajst-26221	20	12	plate	plate	NOUN
ajst-26221	20	13	cutting	cut	VERB
ajst-26221	20	14	path	path	NOUN
ajst-26221	20	15	planning	planning	NOUN
ajst-26221	20	16	is	be	AUX
ajst-26221	20	17	of	of	ADP
ajst-26221	20	18	significant	significant	ADJ
ajst-26221	20	19	practical	practical	ADJ
ajst-26221	20	20	importance	importance	NOUN
ajst-26221	20	21	for	for	ADP
ajst-26221	20	22	mold	mold	NOUN
ajst-26221	20	23	processing	processing	NOUN
ajst-26221	20	24	enterprises	enterprise	NOUN
ajst-26221	20	25	.	.	PUNCT
ajst-26221	21	1	2	2	X
ajst-26221	21	2	.	.	X
ajst-26221	21	3	model	model	NOUN
ajst-26221	21	4	assumptions	assumption	VERB
ajst-26221	21	5	the	the	DET
ajst-26221	21	6	data	datum	NOUN
ajst-26221	21	7	used	use	VERB
ajst-26221	21	8	in	in	ADP
ajst-26221	21	9	this	this	DET
ajst-26221	21	10	paper	paper	NOUN
ajst-26221	21	11	comes	come	VERB
ajst-26221	21	12	from	from	ADP
ajst-26221	21	13	question	question	NOUN
ajst-26221	21	14	a	a	PRON
ajst-26221	21	15	of	of	ADP
ajst-26221	21	16	the	the	DET
ajst-26221	21	17	may	may	PROPN
ajst-26221	21	18	1	1	NUM
ajst-26221	21	19	mathematical	mathematical	ADJ
ajst-26221	21	20	modelling	modelling	NOUN
ajst-26221	21	21	competition	competition	NOUN
ajst-26221	21	22	2024	2024	NUM
ajst-26221	21	23	.	.	PUNCT
ajst-26221	22	1	to	to	PART
ajst-26221	22	2	construct	construct	VERB
ajst-26221	22	3	a	a	DET
ajst-26221	22	4	more	more	ADV
ajst-26221	22	5	precise	precise	ADJ
ajst-26221	22	6	mathematical	mathematical	ADJ
ajst-26221	22	7	model	model	NOUN
ajst-26221	22	8	,	,	PUNCT
ajst-26221	22	9	we	we	PRON
ajst-26221	22	10	make	make	VERB
ajst-26221	22	11	the	the	DET
ajst-26221	22	12	following	follow	VERB
ajst-26221	22	13	reasonable	reasonable	ADJ
ajst-26221	22	14	assumptions	assumption	NOUN
ajst-26221	22	15	or	or	CCONJ
ajst-26221	22	16	constraints	constraint	NOUN
ajst-26221	22	17	based	base	VERB
ajst-26221	22	18	on	on	ADP
ajst-26221	22	19	the	the	DET
ajst-26221	22	20	actual	actual	ADJ
ajst-26221	22	21	situation:(1	situation:(1	PROPN
ajst-26221	22	22	)	)	PUNCT
ajst-26221	22	23	during	during	ADP
ajst-26221	22	24	the	the	DET
ajst-26221	22	25	steel	steel	NOUN
ajst-26221	22	26	plate	plate	NOUN
ajst-26221	22	27	cutting	cut	VERB
ajst-26221	22	28	process	process	NOUN
ajst-26221	22	29	,	,	PUNCT
ajst-26221	22	30	we	we	PRON
ajst-26221	22	31	ignore	ignore	VERB
ajst-26221	22	32	any	any	DET
ajst-26221	22	33	errors	error	NOUN
ajst-26221	22	34	caused	cause	VERB
ajst-26221	22	35	by	by	ADP
ajst-26221	22	36	the	the	DET
ajst-26221	22	37	machine	machine	NOUN
ajst-26221	22	38	's	's	PART
ajst-26221	22	39	lack	lack	NOUN
ajst-26221	22	40	of	of	ADP
ajst-26221	22	41	precision	precision	NOUN
ajst-26221	22	42	;	;	PUNCT
ajst-26221	22	43	(	(	PUNCT
ajst-26221	22	44	2	2	X
ajst-26221	22	45	)	)	PUNCT
ajst-26221	22	46	we	we	PRON
ajst-26221	22	47	ignore	ignore	VERB
ajst-26221	22	48	the	the	DET
ajst-26221	22	49	errors	error	NOUN
ajst-26221	22	50	caused	cause	VERB
ajst-26221	22	51	by	by	ADP
ajst-26221	22	52	the	the	DET
ajst-26221	22	53	volume	volume	NOUN
ajst-26221	22	54	of	of	ADP
ajst-26221	22	55	the	the	DET
ajst-26221	22	56	cutting	cut	VERB
ajst-26221	22	57	tool	tool	NOUN
ajst-26221	22	58	and	and	CCONJ
ajst-26221	22	59	abstract	abstract	ADJ
ajst-26221	22	60	the	the	DET
ajst-26221	22	61	tool	tool	NOUN
ajst-26221	22	62	as	as	ADP
ajst-26221	22	63	an	an	DET
ajst-26221	22	64	ideal	ideal	ADJ
ajst-26221	22	65	point	point	NOUN
ajst-26221	22	66	;	;	PUNCT
ajst-26221	22	67	(	(	PUNCT
ajst-26221	22	68	3	3	X
ajst-26221	22	69	)	)	PUNCT
ajst-26221	22	70	during	during	ADP
ajst-26221	22	71	the	the	DET
ajst-26221	22	72	cutting	cutting	NOUN
ajst-26221	22	73	process	process	NOUN
ajst-26221	22	74	,	,	PUNCT
ajst-26221	22	75	the	the	DET
ajst-26221	22	76	steel	steel	NOUN
ajst-26221	22	77	plate	plate	NOUN
ajst-26221	22	78	does	do	AUX
ajst-26221	22	79	not	not	PART
ajst-26221	22	80	move	move	VERB
ajst-26221	22	81	,	,	PUNCT
ajst-26221	22	82	deform	deform	VERB
ajst-26221	22	83	,	,	PUNCT
ajst-26221	22	84	or	or	CCONJ
ajst-26221	22	85	undergo	undergo	VERB
ajst-26221	22	86	any	any	DET
ajst-26221	22	87	other	other	ADJ
ajst-26221	22	88	changes	change	NOUN
ajst-26221	22	89	.	.	PUNCT
ajst-26221	23	1	3	3	X
ajst-26221	23	2	.	.	X
ajst-26221	23	3	enumeration	enumeration	NOUN
ajst-26221	23	4	method	method	NOUN
ajst-26221	23	5	based	base	VERB
ajst-26221	23	6	on	on	ADP
ajst-26221	23	7	finding	find	VERB
ajst-26221	23	8	the	the	DET
ajst-26221	23	9	path	path	NOUN
ajst-26221	23	10	need	need	VERB
ajst-26221	23	11	to	to	PART
ajst-26221	23	12	cut	cut	VERB
ajst-26221	23	13	the	the	DET
ajst-26221	23	14	line	line	NOUN
ajst-26221	23	15	segments	segment	NOUN
ajst-26221	23	16	b4b1	b4b1	PROPN
ajst-26221	23	17	,	,	PUNCT
ajst-26221	23	18	b1b2	b1b2	NOUN
ajst-26221	23	19	,	,	PUNCT
ajst-26221	23	20	b2b3	b2b3	NOUN
ajst-26221	23	21	,	,	PUNCT
ajst-26221	23	22	a3a4	a3a4	PROPN
ajst-26221	23	23	,	,	PUNCT
ajst-26221	23	24	a4a1	a4a1	PROPN
ajst-26221	23	25	,	,	PUNCT
ajst-26221	23	26	a1a2	a1a2	ADJ
ajst-26221	23	27	,	,	PUNCT
ajst-26221	23	28	a2a3	a2a3	PROPN
ajst-26221	23	29	,	,	PUNCT
ajst-26221	23	30	due	due	ADP
ajst-26221	23	31	to	to	ADP
ajst-26221	23	32	the	the	DET
ajst-26221	23	33	actual	actual	ADJ
ajst-26221	23	34	need	need	NOUN
ajst-26221	23	35	to	to	PART
ajst-26221	23	36	cut	cut	VERB
ajst-26221	23	37	the	the	DET
ajst-26221	23	38	route	route	NOUN
ajst-26221	23	39	are	be	AUX
ajst-26221	23	40	the	the	DET
ajst-26221	23	41	same	same	ADJ
ajst-26221	23	42	length	length	NOUN
ajst-26221	23	43	,	,	PUNCT
ajst-26221	23	44	then	then	ADV
ajst-26221	23	45	the	the	DET
ajst-26221	23	46	shortest	short	ADJ
ajst-26221	23	47	total	total	ADJ
ajst-26221	23	48	route	route	NOUN
ajst-26221	23	49	on	on	ADP
ajst-26221	23	50	the	the	DET
ajst-26221	23	51	shortest	short	ADJ
ajst-26221	23	52	air	air	NOUN
ajst-26221	23	53	distance	distance	NOUN
ajst-26221	23	54	,	,	PUNCT
ajst-26221	23	55	from	from	ADP
ajst-26221	23	56	the	the	DET
ajst-26221	23	57	border	border	NOUN
ajst-26221	23	58	to	to	ADP
ajst-26221	23	59	the	the	DET
ajst-26221	23	60	inner	inner	ADJ
ajst-26221	23	61	hole	hole	NOUN
ajst-26221	23	62	should	should	AUX
ajst-26221	23	63	follow	follow	VERB
ajst-26221	23	64	the	the	DET
ajst-26221	23	65	principle	principle	NOUN
ajst-26221	23	66	of	of	ADP
ajst-26221	23	67	the	the	DET
ajst-26221	23	68	shortest	short	ADJ
ajst-26221	23	69	air	air	NOUN
ajst-26221	23	70	distance	distance	NOUN
ajst-26221	23	71	,	,	PUNCT
ajst-26221	23	72	you	you	PRON
ajst-26221	23	73	should	should	AUX
ajst-26221	23	74	go	go	VERB
ajst-26221	23	75	to	to	ADP
ajst-26221	23	76	the	the	DET
ajst-26221	23	77	nearest	near	ADJ
ajst-26221	23	78	point	point	NOUN
ajst-26221	23	79	or	or	CCONJ
ajst-26221	23	80	plumb	plumb	ADJ
ajst-26221	23	81	line	line	NOUN
ajst-26221	23	82	.	.	PUNCT
ajst-26221	24	1	the	the	DET
ajst-26221	24	2	starting	starting	NOUN
ajst-26221	24	3	point	point	NOUN
ajst-26221	24	4	of	of	ADP
ajst-26221	24	5	its	its	PRON
ajst-26221	24	6	departure	departure	NOUN
ajst-26221	24	7	cutting	cut	VERB
ajst-26221	24	8	bore	bore	NOUN
ajst-26221	24	9	respectively	respectively	ADV
ajst-26221	24	10	b1	b1	NOUN
ajst-26221	24	11	,	,	PUNCT
ajst-26221	24	12	line	line	NOUN
ajst-26221	24	13	b1b2	b1b2	NOUN
ajst-26221	24	14	on	on	ADP
ajst-26221	24	15	any	any	DET
ajst-26221	24	16	point	point	NOUN
ajst-26221	24	17	,	,	PUNCT
ajst-26221	24	18	b2	b2	NOUN
ajst-26221	24	19	,	,	PUNCT
ajst-26221	24	20	b2b3	b2b3	NOUN
ajst-26221	24	21	on	on	ADP
ajst-26221	24	22	any	any	DET
ajst-26221	24	23	point	point	NOUN
ajst-26221	24	24	b3	b3	NOUN
ajst-26221	24	25	,	,	PUNCT
ajst-26221	24	26	b4	b4	NOUN
ajst-26221	24	27	,	,	PUNCT
ajst-26221	24	28	b4b1	b4b1	PROPN
ajst-26221	24	29	on	on	ADP
ajst-26221	24	30	any	any	DET
ajst-26221	24	31	point	point	NOUN
ajst-26221	24	32	.	.	PUNCT
ajst-26221	25	1	3.1	3.1	NUM
ajst-26221	25	2	.	.	PUNCT
ajst-26221	26	1	starting	start	VERB
ajst-26221	26	2	point	point	NOUN
ajst-26221	26	3	b1	b1	NOUN
ajst-26221	26	4	by	by	ADP
ajst-26221	26	5	b1	b1	NOUN
ajst-26221	26	6	to	to	PART
ajst-26221	26	7	cut	cut	VERB
ajst-26221	26	8	the	the	DET
ajst-26221	26	9	hole	hole	NOUN
ajst-26221	26	10	,	,	PUNCT
ajst-26221	26	11	b1	b1	NOUN
ajst-26221	26	12	from	from	ADP
ajst-26221	26	13	the	the	DET
ajst-26221	26	14	rectangle	rectangle	NOUN
ajst-26221	26	15	a1a2a3a4	a1a2a3a4	NOUN
ajst-26221	26	16	a1	a1	NOUN
ajst-26221	26	17	nearest	near	ADV
ajst-26221	26	18	,	,	PUNCT
ajst-26221	26	19	so	so	SCONJ
ajst-26221	26	20	the	the	DET
ajst-26221	26	21	shortest	short	ADJ
ajst-26221	26	22	path	path	NOUN
ajst-26221	26	23	from	from	ADP
ajst-26221	26	24	b1	b1	NOUN
ajst-26221	26	25	for	for	ADP
ajst-26221	26	26	cutting	cut	VERB
ajst-26221	26	27	the	the	DET
ajst-26221	26	28	starting	starting	NOUN
ajst-26221	26	29	point	point	NOUN
ajst-26221	26	30	of	of	ADP
ajst-26221	26	31	the	the	DET
ajst-26221	26	32	inner	inner	ADJ
ajst-26221	26	33	hole	hole	NOUN
ajst-26221	26	34	as	as	SCONJ
ajst-26221	26	35	follows	follow	VERB
ajst-26221	26	36	,	,	PUNCT
ajst-26221	26	37	recorded	record	VERB
ajst-26221	26	38	as	as	ADP
ajst-26221	26	39	path	path	NOUN
ajst-26221	26	40	1	1	NUM
ajst-26221	26	41	(	(	PUNCT
ajst-26221	26	42	black	black	ADJ
ajst-26221	26	43	line	line	NOUN
ajst-26221	26	44	for	for	ADP
ajst-26221	26	45	the	the	DET
ajst-26221	26	46	actual	actual	ADJ
ajst-26221	26	47	cutting	cutting	NOUN
ajst-26221	26	48	path	path	NOUN
ajst-26221	26	49	,	,	PUNCT
ajst-26221	26	50	the	the	DET
ajst-26221	26	51	red	red	ADJ
ajst-26221	26	52	line	line	NOUN
ajst-26221	26	53	for	for	ADP
ajst-26221	26	54	the	the	DET
ajst-26221	26	55	empty	empty	ADJ
ajst-26221	26	56	range	range	NOUN
ajst-26221	26	57	):	):	PUNCT
ajst-26221	26	58	figure	figure	NOUN
ajst-26221	26	59	1	1	NUM
ajst-26221	26	60	.	.	PUNCT
ajst-26221	26	61	schematic	schematic	ADJ
ajst-26221	26	62	diagram	diagram	NOUN
ajst-26221	26	63	of	of	ADP
ajst-26221	26	64	path	path	NOUN
ajst-26221	26	65	1	1	NUM
ajst-26221	26	66	3.2	3.2	NUM
ajst-26221	26	67	.	.	PUNCT
ajst-26221	27	1	any	any	DET
ajst-26221	27	2	point	point	NOUN
ajst-26221	27	3	on	on	ADP
ajst-26221	27	4	the	the	DET
ajst-26221	27	5	starting	starting	NOUN
ajst-26221	27	6	point	point	NOUN
ajst-26221	27	7	b1b2	b1b2	VERB
ajst-26221	27	8	from	from	ADP
ajst-26221	27	9	any	any	DET
ajst-26221	27	10	point	point	NOUN
ajst-26221	27	11	on	on	ADP
ajst-26221	27	12	b1b2	b1b2	PROPN
ajst-26221	27	13	to	to	PART
ajst-26221	27	14	cut	cut	VERB
ajst-26221	27	15	holes	hole	NOUN
ajst-26221	27	16	,	,	PUNCT
ajst-26221	27	17	b1b2	b1b2	VERB
ajst-26221	27	18	to	to	ADP
ajst-26221	27	19	the	the	DET
ajst-26221	27	20	rectangle	rectangle	NOUN
ajst-26221	27	21	a1a2a3a4	a1a2a3a4	PROPN
ajst-26221	27	22	a1a2	a1a2	X
ajst-26221	27	23	of	of	ADP
ajst-26221	27	24	the	the	DET
ajst-26221	27	25	shortest	short	ADJ
ajst-26221	27	26	perpendicular	perpendicular	ADJ
ajst-26221	27	27	distance	distance	NOUN
ajst-26221	27	28	,	,	PUNCT
ajst-26221	27	29	so	so	ADV
ajst-26221	27	30	218	218	NUM
ajst-26221	27	31	from	from	ADP
ajst-26221	27	32	any	any	DET
ajst-26221	27	33	point	point	NOUN
ajst-26221	27	34	on	on	ADP
ajst-26221	27	35	b1b2	b1b2	PROPN
ajst-26221	27	36	to	to	PART
ajst-26221	27	37	cut	cut	VERB
ajst-26221	27	38	holes	hole	NOUN
ajst-26221	27	39	,	,	PUNCT
ajst-26221	27	40	for	for	ADP
ajst-26221	27	41	cutting	cut	VERB
ajst-26221	27	42	holes	hole	NOUN
ajst-26221	27	43	in	in	ADP
ajst-26221	27	44	the	the	DET
ajst-26221	27	45	starting	starting	NOUN
ajst-26221	27	46	point	point	NOUN
ajst-26221	27	47	of	of	ADP
ajst-26221	27	48	the	the	DET
ajst-26221	27	49	shortest	short	ADJ
ajst-26221	27	50	path	path	NOUN
ajst-26221	27	51	is	be	AUX
ajst-26221	27	52	as	as	SCONJ
ajst-26221	27	53	follows	follow	VERB
ajst-26221	27	54	,	,	PUNCT
ajst-26221	27	55	recorded	record	VERB
ajst-26221	27	56	as	as	ADP
ajst-26221	27	57	path	path	NOUN
ajst-26221	27	58	2	2	NUM
ajst-26221	27	59	:	:	PUNCT
ajst-26221	27	60	figure	figure	NOUN
ajst-26221	27	61	2	2	NUM
ajst-26221	27	62	.	.	PUNCT
ajst-26221	27	63	schematic	schematic	ADJ
ajst-26221	27	64	diagram	diagram	NOUN
ajst-26221	27	65	of	of	ADP
ajst-26221	27	66	path	path	NOUN
ajst-26221	27	67	2	2	NUM
ajst-26221	27	68	3.3	3.3	NUM
ajst-26221	27	69	.	.	PUNCT
ajst-26221	28	1	starting	start	VERB
ajst-26221	28	2	point	point	NOUN
ajst-26221	28	3	b2,b4	b2,b4	PROPN
ajst-26221	28	4	the	the	DET
ajst-26221	28	5	situation	situation	NOUN
ajst-26221	28	6	is	be	AUX
ajst-26221	28	7	the	the	DET
ajst-26221	28	8	same	same	ADJ
ajst-26221	28	9	as	as	ADP
ajst-26221	28	10	when	when	SCONJ
ajst-26221	28	11	the	the	DET
ajst-26221	28	12	starting	starting	NOUN
ajst-26221	28	13	point	point	NOUN
ajst-26221	28	14	is	be	AUX
ajst-26221	28	15	b1	b1	NOUN
ajst-26221	28	16	,	,	PUNCT
ajst-26221	28	17	and	and	CCONJ
ajst-26221	28	18	the	the	DET
ajst-26221	28	19	paths	path	NOUN
ajst-26221	28	20	are	be	AUX
ajst-26221	28	21	as	as	SCONJ
ajst-26221	28	22	follows	follow	VERB
ajst-26221	28	23	,	,	PUNCT
ajst-26221	28	24	which	which	PRON
ajst-26221	28	25	are	be	AUX
ajst-26221	28	26	recorded	record	VERB
ajst-26221	28	27	as	as	ADP
ajst-26221	28	28	paths	path	NOUN
ajst-26221	28	29	3,4	3,4	NUM
ajst-26221	28	30	respectively	respectively	ADV
ajst-26221	28	31	:	:	PUNCT
ajst-26221	28	32	figure	figure	NOUN
ajst-26221	28	33	3	3	NUM
ajst-26221	28	34	.	.	PUNCT
ajst-26221	28	35	schematic	schematic	ADJ
ajst-26221	28	36	diagram	diagram	NOUN
ajst-26221	28	37	of	of	ADP
ajst-26221	28	38	path	path	NOUN
ajst-26221	28	39	3	3	NUM
ajst-26221	28	40	figure	figure	NOUN
ajst-26221	28	41	4	4	NUM
ajst-26221	28	42	.	.	PUNCT
ajst-26221	28	43	schematic	schematic	ADJ
ajst-26221	28	44	diagram	diagram	NOUN
ajst-26221	28	45	of	of	ADP
ajst-26221	28	46	path	path	NOUN
ajst-26221	28	47	4	4	NUM
ajst-26221	28	48	3.4	3.4	NUM
ajst-26221	28	49	.	.	PUNCT
ajst-26221	29	1	starting	start	VERB
ajst-26221	29	2	point	point	NOUN
ajst-26221	29	3	b2b3	b2b3	ADP
ajst-26221	29	4	,	,	PUNCT
ajst-26221	29	5	b4b1	b4b1	AUX
ajst-26221	29	6	any	any	DET
ajst-26221	29	7	point	point	NOUN
ajst-26221	29	8	on	on	ADP
ajst-26221	29	9	the	the	DET
ajst-26221	29	10	the	the	DET
ajst-26221	29	11	situation	situation	NOUN
ajst-26221	29	12	is	be	AUX
ajst-26221	29	13	the	the	DET
ajst-26221	29	14	same	same	ADJ
ajst-26221	29	15	as	as	SCONJ
ajst-26221	29	16	when	when	SCONJ
ajst-26221	29	17	the	the	DET
ajst-26221	29	18	starting	starting	NOUN
ajst-26221	29	19	point	point	NOUN
ajst-26221	29	20	is	be	AUX
ajst-26221	29	21	any	any	DET
ajst-26221	29	22	point	point	NOUN
ajst-26221	29	23	on	on	ADP
ajst-26221	29	24	b1b2	b1b2	PROPN
ajst-26221	29	25	,	,	PUNCT
ajst-26221	29	26	the	the	DET
ajst-26221	29	27	path	path	NOUN
ajst-26221	29	28	is	be	AUX
ajst-26221	29	29	as	as	SCONJ
ajst-26221	29	30	follows	follow	VERB
ajst-26221	29	31	,	,	PUNCT
ajst-26221	29	32	respectively	respectively	ADV
ajst-26221	29	33	,	,	PUNCT
ajst-26221	29	34	recorded	record	VERB
ajst-26221	29	35	as	as	ADP
ajst-26221	29	36	path	path	NOUN
ajst-26221	29	37	5,6	5,6	NUM
ajst-26221	29	38	:	:	PUNCT
ajst-26221	29	39	figure	figure	NOUN
ajst-26221	29	40	5	5	NUM
ajst-26221	29	41	.	.	PUNCT
ajst-26221	29	42	schematic	schematic	ADJ
ajst-26221	29	43	diagram	diagram	NOUN
ajst-26221	29	44	of	of	ADP
ajst-26221	29	45	path	path	NOUN
ajst-26221	29	46	5	5	NUM
ajst-26221	29	47	figure	figure	NOUN
ajst-26221	29	48	6	6	NUM
ajst-26221	29	49	.	.	PUNCT
ajst-26221	29	50	schematic	schematic	ADJ
ajst-26221	29	51	diagram	diagram	NOUN
ajst-26221	29	52	of	of	ADP
ajst-26221	29	53	path	path	NOUN
ajst-26221	29	54	6	6	NUM
ajst-26221	29	55	3.5	3.5	NUM
ajst-26221	29	56	.	.	PUNCT
ajst-26221	30	1	point	point	NOUN
ajst-26221	30	2	of	of	ADP
ajst-26221	30	3	departure	departure	NOUN
ajst-26221	30	4	b3	b3	PROPN
ajst-26221	30	5	since	since	SCONJ
ajst-26221	30	6	b3b4	b3b4	NOUN
ajst-26221	30	7	is	be	AUX
ajst-26221	30	8	the	the	DET
ajst-26221	30	9	boundary	boundary	ADJ
ajst-26221	30	10	line	line	NOUN
ajst-26221	30	11	of	of	ADP
ajst-26221	30	12	the	the	DET
ajst-26221	30	13	steel	steel	NOUN
ajst-26221	30	14	plate	plate	NOUN
ajst-26221	30	15	,	,	PUNCT
ajst-26221	30	16	without	without	ADP
ajst-26221	30	17	cutting	cut	VERB
ajst-26221	30	18	,	,	PUNCT
ajst-26221	30	19	so	so	SCONJ
ajst-26221	30	20	you	you	PRON
ajst-26221	30	21	can	can	AUX
ajst-26221	30	22	go	go	VERB
ajst-26221	30	23	from	from	ADP
ajst-26221	30	24	b3	b3	PROPN
ajst-26221	30	25	to	to	PART
ajst-26221	30	26	a3	a3	VERB
ajst-26221	30	27	or	or	CCONJ
ajst-26221	30	28	a3a4	a3a4	VERB
ajst-26221	30	29	on	on	ADP
ajst-26221	30	30	any	any	DET
ajst-26221	30	31	point	point	NOUN
ajst-26221	30	32	or	or	CCONJ
ajst-26221	30	33	a4	a4	NOUN
ajst-26221	30	34	,	,	PUNCT
ajst-26221	30	35	and	and	CCONJ
ajst-26221	30	36	then	then	ADV
ajst-26221	30	37	to	to	PART
ajst-26221	30	38	b4	b4	VERB
ajst-26221	30	39	,	,	PUNCT
ajst-26221	30	40	respectively	respectively	ADV
ajst-26221	30	41	,	,	PUNCT
ajst-26221	30	42	recorded	record	VERB
ajst-26221	30	43	as	as	ADP
ajst-26221	30	44	path	path	NOUN
ajst-26221	30	45	7,8,9	7,8,9	NOUN
ajst-26221	30	46	:	:	PUNCT
ajst-26221	30	47	figure	figure	NOUN
ajst-26221	30	48	7	7	NUM
ajst-26221	30	49	.	.	PUNCT
ajst-26221	30	50	schematic	schematic	ADJ
ajst-26221	30	51	diagram	diagram	NOUN
ajst-26221	30	52	of	of	ADP
ajst-26221	30	53	path	path	NOUN
ajst-26221	30	54	7	7	NUM
ajst-26221	30	55	figure	figure	NOUN
ajst-26221	30	56	8	8	NUM
ajst-26221	30	57	.	.	PUNCT
ajst-26221	31	1	schematic	schematic	ADJ
ajst-26221	31	2	diagram	diagram	NOUN
ajst-26221	31	3	of	of	ADP
ajst-26221	31	4	path	path	NOUN
ajst-26221	31	5	8	8	NUM
ajst-26221	31	6	figure	figure	NOUN
ajst-26221	31	7	9	9	NUM
ajst-26221	31	8	.	.	PUNCT
ajst-26221	32	1	schematic	schematic	ADJ
ajst-26221	32	2	diagram	diagram	NOUN
ajst-26221	32	3	of	of	ADP
ajst-26221	32	4	path	path	NOUN
ajst-26221	32	5	9	9	NUM
ajst-26221	32	6	4	4	NUM
ajst-26221	32	7	.	.	PUNCT
ajst-26221	32	8	calculate	calculate	VERB
ajst-26221	32	9	the	the	DET
ajst-26221	32	10	length	length	NOUN
ajst-26221	32	11	of	of	ADP
ajst-26221	32	12	the	the	DET
ajst-26221	32	13	empty	empty	ADJ
ajst-26221	32	14	journey	journey	NOUN
ajst-26221	32	15	of	of	ADP
ajst-26221	32	16	each	each	DET
ajst-26221	32	17	path	path	NOUN
ajst-26221	32	18	to	to	PART
ajst-26221	32	19	find	find	VERB
ajst-26221	32	20	the	the	DET
ajst-26221	32	21	optimal	optimal	ADJ
ajst-26221	32	22	cutting	cutting	NOUN
ajst-26221	32	23	route	route	NOUN
ajst-26221	32	24	4.1	4.1	NUM
ajst-26221	32	25	.	.	PUNCT
ajst-26221	33	1	explanation	explanation	NOUN
ajst-26221	33	2	of	of	ADP
ajst-26221	33	3	symbols	symbol	NOUN
ajst-26221	33	4	total	total	VERB
ajst-26221	33	5	air	air	NOUN
ajst-26221	33	6	travelling	travel	VERB
ajst-26221	33	7	length	length	NOUN
ajst-26221	33	8	:	:	PUNCT
ajst-26221	33	9	indicates	indicate	VERB
ajst-26221	33	10	the	the	DET
ajst-26221	33	11	total	total	ADJ
ajst-26221	33	12	air	air	NOUN
ajst-26221	33	13	travelling	travel	VERB
ajst-26221	33	14	distance	distance	NOUN
ajst-26221	33	15	from	from	ADP
ajst-26221	33	16	the	the	DET
ajst-26221	33	17	starting	starting	NOUN
ajst-26221	33	18	point	point	NOUN
ajst-26221	33	19	to	to	ADP
ajst-26221	33	20	the	the	DET
ajst-26221	33	21	end	end	NOUN
ajst-26221	33	22	point	point	NOUN
ajst-26221	33	23	.	.	PUNCT
ajst-26221	34	1	coordinates	coordinate	NOUN
ajst-26221	34	2	of	of	ADP
ajst-26221	34	3	each	each	DET
ajst-26221	34	4	point	point	NOUN
ajst-26221	34	5	x	x	PUNCT
ajst-26221	34	6	,	,	PUNCT
ajst-26221	34	7	y	y	PROPN
ajst-26221	34	8	:	:	PUNCT
ajst-26221	34	9	indicates	indicate	VERB
ajst-26221	34	10	the	the	DET
ajst-26221	34	11	219	219	NUM
ajst-26221	34	12	coordinates	coordinate	NOUN
ajst-26221	34	13	of	of	ADP
ajst-26221	34	14	each	each	DET
ajst-26221	34	15	cutting	cut	VERB
ajst-26221	34	16	point	point	NOUN
ajst-26221	34	17	on	on	ADP
ajst-26221	34	18	the	the	DET
ajst-26221	34	19	steel	steel	NOUN
ajst-26221	34	20	plate	plate	NOUN
ajst-26221	34	21	.	.	PUNCT
ajst-26221	35	1	the	the	DET
ajst-26221	35	2	specific	specific	ADJ
ajst-26221	35	3	coordinates	coordinate	NOUN
ajst-26221	35	4	are	be	AUX
ajst-26221	35	5	as	as	SCONJ
ajst-26221	35	6	follows	follow	VERB
ajst-26221	35	7	:	:	PUNCT
ajst-26221	35	8	a1(60,15),a2(60,35),a3(20,35),a4(20,15),b1(80,0),b2(8	a1(60,15),a2(60,35),a3(20,35),a4(20,15),b1(80,0),b2(8	DET
ajst-26221	35	9	0,50),b3(0,50),b4(0,0	0,50),b3(0,50),b4(0,0	NOUN
ajst-26221	35	10	)	)	PUNCT
ajst-26221	35	11	.	.	PUNCT
ajst-26221	36	1	i=1,2,	i=1,2,	NOUN
ajst-26221	36	2	...	...	PUNCT
ajst-26221	36	3	,9	,9	PUNCT
ajst-26221	36	4	denotes	denote	VERB
ajst-26221	36	5	the	the	DET
ajst-26221	36	6	path	path	NOUN
ajst-26221	36	7	number	number	NOUN
ajst-26221	36	8	;	;	PUNCT
ajst-26221	36	9	m	m	VERB
ajst-26221	36	10	=	=	NOUN
ajst-26221	36	11	a	a	PRON
ajst-26221	36	12	,	,	PUNCT
ajst-26221	36	13	b	b	NOUN
ajst-26221	36	14	denote	denote	VERB
ajst-26221	36	15	the	the	DET
ajst-26221	36	16	different	different	ADJ
ajst-26221	36	17	cutting	cut	VERB
ajst-26221	36	18	regions	region	NOUN
ajst-26221	36	19	;	;	PUNCT
ajst-26221	37	1	n=1,2,3,4	n=1,2,3,4	PROPN
ajst-26221	37	2	.	.	NOUN
ajst-26221	38	1	4.2	4.2	NUM
ajst-26221	38	2	.	.	PUNCT
ajst-26221	38	3	calculation	calculation	NOUN
ajst-26221	38	4	in	in	ADP
ajst-26221	38	5	order	order	NOUN
ajst-26221	38	6	to	to	PART
ajst-26221	38	7	solve	solve	VERB
ajst-26221	38	8	the	the	DET
ajst-26221	38	9	problem	problem	NOUN
ajst-26221	38	10	defined	define	VERB
ajst-26221	38	11	by	by	ADP
ajst-26221	38	12	l	l	PROPN
ajst-26221	38	13	l	l	NOUN
ajst-26221	38	14	l	l	X
ajst-26221	38	15	y	y	NOUN
ajst-26221	39	1	y	y	NOUN
ajst-26221	39	2	x	x	PUNCT
ajst-26221	39	3	x	x	PUNCT
ajst-26221	40	1	y	y	NOUN
ajst-26221	40	2	y	y	PROPN
ajst-26221	40	3	l	l	NOUN
ajst-26221	41	1	l	l	NOUN
ajst-26221	41	2	l	l	NOUN
ajst-26221	41	3	50	50	NUM
ajst-26221	41	4	0	0	NUM
ajst-26221	41	5	80	80	NUM
ajst-26221	41	6	60	60	NUM
ajst-26221	41	7	15	15	NUM
ajst-26221	41	8	0	0	NUM
ajst-26221	41	9	75	75	NUM
ajst-26221	41	10	l	l	NOUN
ajst-26221	41	11	l	l	NOUN
ajst-26221	41	12	l	l	X
ajst-26221	42	1	y	y	NOUN
ajst-26221	42	2	y	y	NOUN
ajst-26221	42	3	x	x	PUNCT
ajst-26221	42	4	x	x	PUNCT
ajst-26221	42	5	l	l	NOUN
ajst-26221	42	6	l	l	X
ajst-26221	42	7	l	l	NOUN
ajst-26221	42	8	50	50	NUM
ajst-26221	42	9	0	0	NUM
ajst-26221	42	10	80	80	NUM
ajst-26221	42	11	60	60	NUM
ajst-26221	42	12	70	70	NUM
ajst-26221	42	13	l	l	NOUN
ajst-26221	42	14	l	l	NOUN
ajst-26221	42	15	x	x	PUNCT
ajst-26221	42	16	x	x	PUNCT
ajst-26221	42	17	y	y	NOUN
ajst-26221	42	18	y	y	NOUN
ajst-26221	42	19	x	x	PUNCT
ajst-26221	42	20	x	x	PUNCT
ajst-26221	42	21	y	y	NOUN
ajst-26221	42	22	y	y	PROPN
ajst-26221	42	23	l	l	NOUN
ajst-26221	42	24	l	l	NOUN
ajst-26221	42	25	20	20	NUM
ajst-26221	42	26	0	0	NUM
ajst-26221	42	27	50	50	NUM
ajst-26221	42	28	35	35	NUM
ajst-26221	42	29	20	20	NUM
ajst-26221	42	30	0	0	NUM
ajst-26221	42	31	35	35	NUM
ajst-26221	42	32	0	0	NUM
ajst-26221	42	33	65.3113	65.3113	NUM
ajst-26221	42	34	l	l	NOUN
ajst-26221	42	35	:	:	PUNCT
ajst-26221	42	36	find	find	VERB
ajst-26221	42	37	the	the	DET
ajst-26221	42	38	shortest	short	ADJ
ajst-26221	42	39	path	path	NOUN
ajst-26221	42	40	by	by	ADP
ajst-26221	42	41	air	air	NOUN
ajst-26221	42	42	from	from	ADP
ajst-26221	42	43	b3	b3	PROPN
ajst-26221	42	44	to	to	ADP
ajst-26221	42	45	any	any	DET
ajst-26221	42	46	point	point	NOUN
ajst-26221	42	47	on	on	ADP
ajst-26221	42	48	a3a4	a3a4	PROPN
ajst-26221	42	49	and	and	CCONJ
ajst-26221	42	50	then	then	ADV
ajst-26221	42	51	to	to	PART
ajst-26221	42	52	b4	b4	VERB
ajst-26221	42	53	.	.	PUNCT
ajst-26221	43	1	,	,	PUNCT
ajst-26221	43	2	we	we	PRON
ajst-26221	43	3	wrote	write	VERB
ajst-26221	43	4	the	the	DET
ajst-26221	43	5	following	follow	VERB
ajst-26221	43	6	matlab	matlab	PROPN
ajst-26221	43	7	programme	programme	NOUN
ajst-26221	43	8	and	and	CCONJ
ajst-26221	43	9	ran	run	VERB
ajst-26221	43	10	it	it	PRON
ajst-26221	43	11	to	to	PART
ajst-26221	43	12	get	get	VERB
ajst-26221	43	13	the	the	DET
ajst-26221	43	14	results	result	NOUN
ajst-26221	43	15	:	:	PUNCT
ajst-26221	43	16	figure	figure	VERB
ajst-26221	43	17	10	10	NUM
ajst-26221	43	18	.	.	PUNCT
ajst-26221	44	1	schematic	schematic	ADJ
ajst-26221	44	2	diagram	diagram	NOUN
ajst-26221	44	3	of	of	ADP
ajst-26221	44	4	the	the	DET
ajst-26221	44	5	shortest	short	ADJ
ajst-26221	44	6	case	case	NOUN
ajst-26221	44	7	of	of	ADP
ajst-26221	44	8	path	path	NOUN
ajst-26221	44	9	8	8	NUM
ajst-26221	44	10	the	the	DET
ajst-26221	44	11	final	final	ADJ
ajst-26221	44	12	result	result	NOUN
ajst-26221	44	13	is	be	AUX
ajst-26221	44	14	64.0312	64.0312	NUM
ajst-26221	44	15	,	,	PUNCT
ajst-26221	44	16	and	and	CCONJ
ajst-26221	44	17	a	a	DET
ajst-26221	44	18	comparison	comparison	NOUN
ajst-26221	44	19	is	be	AUX
ajst-26221	44	20	made	make	VERB
ajst-26221	44	21	to	to	PART
ajst-26221	44	22	find	find	VERB
ajst-26221	44	23	that	that	SCONJ
ajst-26221	44	24	l	l	NOUN
ajst-26221	44	25	is	be	AUX
ajst-26221	44	26	the	the	DET
ajst-26221	44	27	shortest	short	ADJ
ajst-26221	44	28	,	,	PUNCT
ajst-26221	44	29	so	so	CCONJ
ajst-26221	44	30	its	its	PRON
ajst-26221	44	31	the	the	DET
ajst-26221	44	32	optimal	optimal	ADJ
ajst-26221	44	33	cutting	cutting	NOUN
ajst-26221	44	34	route	route	NOUN
ajst-26221	44	35	:	:	PUNCT
ajst-26221	44	36	b1	b1	NOUN
ajst-26221	44	37	-	-	PUNCT
ajst-26221	44	38	b4	b4	NOUN
ajst-26221	44	39	-	-	PUNCT
ajst-26221	44	40	a4a3	a4a3	NOUN
ajst-26221	44	41	midpoint	midpoint	NOUN
ajst-26221	44	42	-	-	PUNCT
ajst-26221	44	43	b3	b3	NOUN
ajst-26221	44	44	-	-	PUNCT
ajst-26221	44	45	b2	b2	NOUN
ajst-26221	44	46	-	-	PUNCT
ajst-26221	44	47	b1	b1	NOUN
ajst-26221	44	48	,	,	PUNCT
ajst-26221	44	49	and	and	CCONJ
ajst-26221	44	50	the	the	DET
ajst-26221	44	51	total	total	ADJ
ajst-26221	44	52	length	length	NOUN
ajst-26221	44	53	of	of	ADP
ajst-26221	44	54	the	the	DET
ajst-26221	44	55	empty	empty	ADJ
ajst-26221	44	56	journey	journey	NOUN
ajst-26221	44	57	is	be	AUX
ajst-26221	44	58	64.0312	64.0312	NUM
ajst-26221	44	59	.	.	PUNCT
ajst-26221	45	1	5	5	NUM
ajst-26221	45	2	.	.	X
ajst-26221	45	3	find	find	VERB
ajst-26221	45	4	the	the	DET
ajst-26221	45	5	closest	close	ADJ
ajst-26221	45	6	distance	distance	NOUN
ajst-26221	45	7	of	of	ADP
ajst-26221	45	8	a	a	DET
ajst-26221	45	9	circular	circular	ADJ
ajst-26221	45	10	hole	hole	NOUN
ajst-26221	45	11	from	from	ADP
ajst-26221	45	12	the	the	DET
ajst-26221	45	13	boundary	boundary	ADJ
ajst-26221	45	14	define	define	VERB
ajst-26221	45	15	the	the	DET
ajst-26221	45	16	endpoint	endpoint	NOUN
ajst-26221	45	17	letters	letter	NOUN
ajst-26221	45	18	:	:	PUNCT
ajst-26221	45	19	figure	figure	NOUN
ajst-26221	45	20	11	11	NUM
ajst-26221	45	21	.	.	PUNCT
ajst-26221	46	1	task	task	PROPN
ajst-26221	46	2	n2	n2	PROPN
ajst-26221	46	3	defining	define	VERB
ajst-26221	46	4	endpoint	endpoint	NOUN
ajst-26221	46	5	letters	letter	NOUN
ajst-26221	46	6	find	find	VERB
ajst-26221	46	7	the	the	DET
ajst-26221	46	8	closest	close	ADJ
ajst-26221	46	9	distance	distance	NOUN
ajst-26221	46	10	from	from	ADP
ajst-26221	46	11	the	the	DET
ajst-26221	46	12	boundary	boundary	NOUN
ajst-26221	46	13	using	use	VERB
ajst-26221	46	14	circle	circle	NOUN
ajst-26221	46	15	e	e	PROPN
ajst-26221	46	16	as	as	ADP
ajst-26221	46	17	an	an	DET
ajst-26221	46	18	example	example	NOUN
ajst-26221	46	19	:	:	PUNCT
ajst-26221	46	20	ab	ab	X
ajst-26221	46	21	:	:	PUNCT
ajst-26221	46	22	x	x	SYM
ajst-26221	46	23	0	0	NUM
ajst-26221	46	24	circle	circle	NOUN
ajst-26221	46	25	e	e	NOUN
ajst-26221	46	26	:	:	PUNCT
ajst-26221	46	27	x	x	SYM
ajst-26221	46	28	10	10	NUM
ajst-26221	46	29	2	2	NUM
ajst-26221	46	30	y	y	NOUN
ajst-26221	46	31	75	75	NUM
ajst-26221	46	32	2	2	NUM
ajst-26221	46	33	32	32	NUM
ajst-26221	46	34	the	the	DET
ajst-26221	46	35	shortest	short	ADJ
ajst-26221	46	36	distance	distance	NOUN
ajst-26221	46	37	between	between	ADP
ajst-26221	46	38	the	the	DET
ajst-26221	46	39	straight	straight	ADJ
ajst-26221	46	40	line	line	NOUN
ajst-26221	46	41	ab	ab	PROPN
ajst-26221	46	42	and	and	CCONJ
ajst-26221	46	43	circle	circle	PROPN
ajst-26221	46	44	e	e	PROPN
ajst-26221	46	45	is	be	AUX
ajst-26221	46	46	solved	solve	VERB
ajst-26221	46	47	for	for	ADP
ajst-26221	46	48	using	use	VERB
ajst-26221	46	49	matlab	matlab	PROPN
ajst-26221	46	50	to	to	PART
ajst-26221	46	51	obtain	obtain	VERB
ajst-26221	46	52	:	:	PUNCT
ajst-26221	46	53	the	the	DET
ajst-26221	46	54	shortest	short	ADJ
ajst-26221	46	55	distance	distance	NOUN
ajst-26221	46	56	is	be	AUX
ajst-26221	46	57	7	7	NUM
ajst-26221	46	58	,	,	PUNCT
ajst-26221	46	59	corresponding	correspond	VERB
ajst-26221	46	60	to	to	ADP
ajst-26221	46	61	the	the	DET
ajst-26221	46	62	point	point	NOUN
ajst-26221	46	63	(	(	PUNCT
ajst-26221	46	64	0	0	NUM
ajst-26221	46	65	,	,	PUNCT
ajst-26221	46	66	75	75	NUM
ajst-26221	46	67	)	)	PUNCT
ajst-26221	46	68	.	.	PUNCT
ajst-26221	47	1	ac	ac	PROPN
ajst-26221	47	2	:	:	PUNCT
ajst-26221	48	1	y	y	PROPN
ajst-26221	48	2	80	80	NUM
ajst-26221	48	3	the	the	DET
ajst-26221	48	4	shortest	short	ADJ
ajst-26221	48	5	distance	distance	NOUN
ajst-26221	48	6	between	between	ADP
ajst-26221	48	7	the	the	DET
ajst-26221	48	8	line	line	NOUN
ajst-26221	48	9	ac	ac	PROPN
ajst-26221	48	10	and	and	CCONJ
ajst-26221	48	11	the	the	DET
ajst-26221	48	12	circle	circle	NOUN
ajst-26221	48	13	e	e	NOUN
ajst-26221	48	14	is	be	AUX
ajst-26221	48	15	solved	solve	VERB
ajst-26221	48	16	using	use	VERB
ajst-26221	48	17	matlab	matlab	PROPN
ajst-26221	48	18	:	:	PUNCT
ajst-26221	48	19	the	the	DET
ajst-26221	48	20	shortest	short	ADJ
ajst-26221	48	21	distance	distance	NOUN
ajst-26221	48	22	is	be	AUX
ajst-26221	48	23	2	2	NUM
ajst-26221	48	24	and	and	CCONJ
ajst-26221	48	25	the	the	DET
ajst-26221	48	26	corresponding	corresponding	ADJ
ajst-26221	48	27	point	point	NOUN
ajst-26221	48	28	is	be	AUX
ajst-26221	48	29	(	(	PUNCT
ajst-26221	48	30	10	10	NUM
ajst-26221	48	31	,	,	PUNCT
ajst-26221	48	32	80	80	NUM
ajst-26221	48	33	)	)	PUNCT
ajst-26221	48	34	.	.	PUNCT
ajst-26221	49	1	cd	cd	PROPN
ajst-26221	49	2	:	:	PUNCT
ajst-26221	49	3	x	x	PROPN
ajst-26221	49	4	20	20	NUM
ajst-26221	49	5	the	the	DET
ajst-26221	49	6	shortest	short	ADJ
ajst-26221	49	7	distance	distance	NOUN
ajst-26221	49	8	between	between	ADP
ajst-26221	49	9	the	the	DET
ajst-26221	49	10	line	line	NOUN
ajst-26221	49	11	cd	cd	PROPN
ajst-26221	49	12	and	and	CCONJ
ajst-26221	49	13	the	the	DET
ajst-26221	49	14	circle	circle	NOUN
ajst-26221	49	15	e	e	NOUN
ajst-26221	49	16	is	be	AUX
ajst-26221	49	17	solved	solve	VERB
ajst-26221	49	18	using	use	VERB
ajst-26221	49	19	matlab	matlab	PROPN
ajst-26221	49	20	:	:	PUNCT
ajst-26221	49	21	the	the	DET
ajst-26221	49	22	shortest	short	ADJ
ajst-26221	49	23	distance	distance	NOUN
ajst-26221	49	24	is	be	AUX
ajst-26221	49	25	7	7	NUM
ajst-26221	49	26	,	,	PUNCT
ajst-26221	49	27	which	which	PRON
ajst-26221	49	28	corresponds	correspond	VERB
ajst-26221	49	29	to	to	ADP
ajst-26221	49	30	the	the	DET
ajst-26221	49	31	point	point	NOUN
ajst-26221	49	32	(	(	PUNCT
ajst-26221	49	33	20	20	NUM
ajst-26221	49	34	,	,	PUNCT
ajst-26221	49	35	75	75	NUM
ajst-26221	49	36	)	)	PUNCT
ajst-26221	49	37	.	.	PUNCT
ajst-26221	50	1	it	it	PRON
ajst-26221	50	2	can	can	AUX
ajst-26221	50	3	be	be	AUX
ajst-26221	50	4	concluded	conclude	VERB
ajst-26221	50	5	that	that	SCONJ
ajst-26221	50	6	the	the	DET
ajst-26221	50	7	centre	centre	NOUN
ajst-26221	50	8	of	of	ADP
ajst-26221	50	9	the	the	DET
ajst-26221	50	10	circle	circle	NOUN
ajst-26221	50	11	upward	upward	ADV
ajst-26221	50	12	to	to	PART
ajst-26221	50	13	make	make	VERB
ajst-26221	50	14	a	a	DET
ajst-26221	50	15	vertical	vertical	ADJ
ajst-26221	50	16	line	line	NOUN
ajst-26221	50	17	intersecting	intersect	VERB
ajst-26221	50	18	the	the	DET
ajst-26221	50	19	circle	circle	NOUN
ajst-26221	50	20	and	and	CCONJ
ajst-26221	50	21	the	the	DET
ajst-26221	50	22	boundary	boundary	NOUN
ajst-26221	50	23	at	at	ADP
ajst-26221	50	24	two	two	NUM
ajst-26221	50	25	points	point	NOUN
ajst-26221	50	26	,	,	PUNCT
ajst-26221	50	27	the	the	DET
ajst-26221	50	28	distance	distance	NOUN
ajst-26221	50	29	between	between	ADP
ajst-26221	50	30	these	these	DET
ajst-26221	50	31	two	two	NUM
ajst-26221	50	32	points	point	NOUN
ajst-26221	50	33	for	for	ADP
ajst-26221	50	34	the	the	DET
ajst-26221	50	35	shortest	short	ADJ
ajst-26221	50	36	distance	distance	NOUN
ajst-26221	50	37	between	between	ADP
ajst-26221	50	38	the	the	DET
ajst-26221	50	39	empty	empty	ADJ
ajst-26221	50	40	range	range	NOUN
ajst-26221	50	41	,	,	PUNCT
ajst-26221	50	42	2	2	NUM
ajst-26221	50	43	,	,	PUNCT
ajst-26221	50	44	the	the	DET
ajst-26221	50	45	other	other	ADJ
ajst-26221	50	46	holes	hole	NOUN
ajst-26221	50	47	in	in	ADP
ajst-26221	50	48	the	the	DET
ajst-26221	50	49	circle	circle	NOUN
ajst-26221	50	50	to	to	ADP
ajst-26221	50	51	the	the	DET
ajst-26221	50	52	boundary	boundary	NOUN
ajst-26221	50	53	of	of	ADP
ajst-26221	50	54	the	the	DET
ajst-26221	50	55	shortest	short	ADJ
ajst-26221	50	56	distance	distance	NOUN
ajst-26221	50	57	with	with	ADP
ajst-26221	50	58	its	its	PRON
ajst-26221	50	59	same	same	ADJ
ajst-26221	50	60	,	,	PUNCT
ajst-26221	50	61	similar	similar	ADJ
ajst-26221	50	62	to	to	ADP
ajst-26221	50	63	the	the	DET
ajst-26221	50	64	method	method	NOUN
ajst-26221	50	65	of	of	ADP
ajst-26221	50	66	solving	solving	NOUN
ajst-26221	50	67	.	.	PUNCT
ajst-26221	51	1	6	6	X
ajst-26221	51	2	.	.	X
ajst-26221	51	3	find	find	VERB
ajst-26221	51	4	the	the	DET
ajst-26221	51	5	closest	close	ADJ
ajst-26221	51	6	distance	distance	NOUN
ajst-26221	51	7	from	from	ADP
ajst-26221	51	8	the	the	DET
ajst-26221	51	9	boundary	boundary	NOUN
ajst-26221	51	10	of	of	ADP
ajst-26221	51	11	the	the	DET
ajst-26221	51	12	elliptical	elliptical	ADJ
ajst-26221	51	13	hole	hole	NOUN
ajst-26221	51	14	observe	observe	VERB
ajst-26221	51	15	the	the	DET
ajst-26221	51	16	target	target	NOUN
ajst-26221	51	17	graph	graph	NOUN
ajst-26221	51	18	of	of	ADP
ajst-26221	51	19	task	task	NOUN
ajst-26221	51	20	n2	n2	PROPN
ajst-26221	51	21	,	,	PUNCT
ajst-26221	51	22	and	and	CCONJ
ajst-26221	51	23	find	find	VERB
ajst-26221	51	24	that	that	SCONJ
ajst-26221	51	25	the	the	DET
ajst-26221	51	26	point	point	NOUN
ajst-26221	51	27	220	220	NUM
ajst-26221	51	28	f	f	NOUN
ajst-26221	51	29	on	on	ADP
ajst-26221	51	30	the	the	DET
ajst-26221	51	31	boundary	boundary	NOUN
ajst-26221	51	32	is	be	AUX
ajst-26221	51	33	the	the	DET
ajst-26221	51	34	closest	close	ADJ
ajst-26221	51	35	to	to	ADP
ajst-26221	51	36	the	the	DET
ajst-26221	51	37	ellipse	ellipse	NOUN
ajst-26221	51	38	,	,	PUNCT
ajst-26221	51	39	now	now	ADV
ajst-26221	51	40	the	the	DET
ajst-26221	51	41	problem	problem	NOUN
ajst-26221	51	42	is	be	AUX
ajst-26221	51	43	transformed	transform	VERB
ajst-26221	51	44	into	into	ADP
ajst-26221	51	45	finding	find	VERB
ajst-26221	51	46	the	the	DET
ajst-26221	51	47	shortest	short	ADJ
ajst-26221	51	48	distance	distance	NOUN
ajst-26221	51	49	from	from	ADP
ajst-26221	51	50	the	the	DET
ajst-26221	51	51	point	point	NOUN
ajst-26221	51	52	f	f	X
ajst-26221	51	53	to	to	ADP
ajst-26221	51	54	the	the	DET
ajst-26221	51	55	ellipse	ellipse	NOUN
ajst-26221	51	56	,	,	PUNCT
ajst-26221	51	57	and	and	CCONJ
ajst-26221	51	58	establish	establish	VERB
ajst-26221	51	59	a	a	DET
ajst-26221	51	60	nonlinear	nonlinear	ADJ
ajst-26221	51	61	planning	planning	NOUN
ajst-26221	51	62	model	model	NOUN
ajst-26221	52	1	[	[	X
ajst-26221	52	2	5	5	NUM
ajst-26221	52	3	]	]	X
ajst-26221	52	4	:	:	PUNCT
ajst-26221	52	5	objective	objective	ADJ
ajst-26221	52	6	function	function	NOUN
ajst-26221	52	7	:	:	PUNCT
ajst-26221	53	1	f	f	X
ajst-26221	53	2	x	x	PUNCT
ajst-26221	54	1	x	x	PUNCT
ajst-26221	54	2	x	x	PUNCT
ajst-26221	54	3	x	x	PUNCT
ajst-26221	54	4	y	y	NOUN
ajst-26221	54	5	where	where	SCONJ
ajst-26221	54	6	(	(	PUNCT
ajst-26221	54	7	,	,	PUNCT
ajst-26221	54	8	)	)	PUNCT
ajst-26221	54	9	are	be	AUX
ajst-26221	54	10	the	the	DET
ajst-26221	54	11	coordinates	coordinate	NOUN
ajst-26221	54	12	of	of	ADP
ajst-26221	54	13	the	the	DET
ajst-26221	54	14	point	point	NOUN
ajst-26221	54	15	to	to	PART
ajst-26221	54	16	be	be	AUX
ajst-26221	54	17	sought	seek	VERB
ajst-26221	54	18	and	and	CCONJ
ajst-26221	54	19	(	(	PUNCT
ajst-26221	54	20	,	,	PUNCT
ajst-26221	54	21	)	)	PUNCT
ajst-26221	54	22	are	be	AUX
ajst-26221	54	23	the	the	DET
ajst-26221	54	24	coordinates	coordinate	NOUN
ajst-26221	54	25	of	of	ADP
ajst-26221	54	26	the	the	DET
ajst-26221	54	27	optimisation	optimisation	NOUN
ajst-26221	54	28	variables	variable	NOUN
ajst-26221	54	29	.	.	PUNCT
ajst-26221	55	1	constraint	constraint	NOUN
ajst-26221	55	2	:	:	PUNCT
ajst-26221	55	3	g	g	NOUN
ajst-26221	55	4	x	x	PUNCT
ajst-26221	55	5	x	x	PUNCT
ajst-26221	55	6	x	x	X
ajst-26221	55	7	a	a	PRON
ajst-26221	55	8	x	x	X
ajst-26221	55	9	y	y	PROPN
ajst-26221	55	10	b	b	PROPN
ajst-26221	55	11	1	1	NUM
ajst-26221	55	12	here	here	ADV
ajst-26221	55	13	(	(	PUNCT
ajst-26221	55	14	,	,	PUNCT
ajst-26221	55	15	)	)	PUNCT
ajst-26221	55	16	are	be	AUX
ajst-26221	55	17	the	the	DET
ajst-26221	55	18	coordinates	coordinate	NOUN
ajst-26221	55	19	of	of	ADP
ajst-26221	55	20	the	the	DET
ajst-26221	55	21	centre	centre	ADJ
ajst-26221	55	22	point	point	NOUN
ajst-26221	55	23	of	of	ADP
ajst-26221	55	24	the	the	DET
ajst-26221	55	25	ellipse	ellipse	NOUN
ajst-26221	55	26	,	,	PUNCT
ajst-26221	55	27	and	and	CCONJ
ajst-26221	55	28	a	a	PRON
ajst-26221	55	29	and	and	CCONJ
ajst-26221	55	30	b	b	NOUN
ajst-26221	55	31	are	be	AUX
ajst-26221	55	32	the	the	DET
ajst-26221	55	33	lengths	length	NOUN
ajst-26221	55	34	of	of	ADP
ajst-26221	55	35	the	the	DET
ajst-26221	55	36	short	short	ADJ
ajst-26221	55	37	and	and	CCONJ
ajst-26221	55	38	long	long	ADJ
ajst-26221	55	39	axes	axis	NOUN
ajst-26221	55	40	of	of	ADP
ajst-26221	55	41	the	the	DET
ajst-26221	55	42	ellipse	ellipse	NOUN
ajst-26221	55	43	respectively	respectively	ADV
ajst-26221	55	44	.	.	PUNCT
ajst-26221	56	1	the	the	DET
ajst-26221	56	2	solution	solution	NOUN
ajst-26221	56	3	is	be	AUX
ajst-26221	56	4	performed	perform	VERB
ajst-26221	56	5	and	and	CCONJ
ajst-26221	56	6	visualised	visualise	VERB
ajst-26221	56	7	using	use	VERB
ajst-26221	56	8	matlab	matlab	PROPN
ajst-26221	56	9	and	and	CCONJ
ajst-26221	56	10	the	the	DET
ajst-26221	56	11	results	result	NOUN
ajst-26221	56	12	are	be	AUX
ajst-26221	56	13	given	give	VERB
ajst-26221	56	14	below	below	ADV
ajst-26221	56	15	:	:	PUNCT
ajst-26221	56	16	figure	figure	NOUN
ajst-26221	56	17	12	12	NUM
ajst-26221	56	18	.	.	PUNCT
ajst-26221	57	1	shortest	short	ADJ
ajst-26221	57	2	path	path	NOUN
ajst-26221	57	3	from	from	ADP
ajst-26221	57	4	the	the	DET
ajst-26221	57	5	ellipse	ellipse	NOUN
ajst-26221	57	6	to	to	ADP
ajst-26221	57	7	the	the	DET
ajst-26221	57	8	boundary	boundary	NOUN
ajst-26221	57	9	the	the	DET
ajst-26221	57	10	shortest	short	ADJ
ajst-26221	57	11	path	path	NOUN
ajst-26221	57	12	length	length	NOUN
ajst-26221	57	13	is	be	AUX
ajst-26221	57	14	7.78	7.78	NUM
ajst-26221	57	15	,	,	PUNCT
ajst-26221	57	16	so	so	ADV
ajst-26221	57	17	the	the	DET
ajst-26221	57	18	total	total	ADJ
ajst-26221	57	19	length	length	NOUN
ajst-26221	57	20	of	of	ADP
ajst-26221	57	21	the	the	DET
ajst-26221	57	22	null	null	ADJ
ajst-26221	57	23	journey	journey	NOUN
ajst-26221	57	24	is	be	AUX
ajst-26221	57	25	and	and	CCONJ
ajst-26221	57	26	the	the	DET
ajst-26221	57	27	optimal	optimal	ADJ
ajst-26221	57	28	route	route	NOUN
ajst-26221	57	29	is	be	AUX
ajst-26221	57	30	as	as	SCONJ
ajst-26221	57	31	follows	follow	VERB
ajst-26221	57	32	:	:	PUNCT
ajst-26221	57	33	figure	figure	NOUN
ajst-26221	57	34	13	13	NUM
ajst-26221	57	35	.	.	PUNCT
ajst-26221	58	1	optimal	optimal	ADJ
ajst-26221	58	2	route	route	NOUN
ajst-26221	58	3	for	for	ADP
ajst-26221	58	4	cutting	cut	VERB
ajst-26221	58	5	task	task	NOUN
ajst-26221	58	6	2	2	NUM
ajst-26221	58	7	7	7	NUM
ajst-26221	58	8	.	.	PUNCT
ajst-26221	58	9	conclusion	conclusion	NOUN
ajst-26221	58	10	in	in	ADP
ajst-26221	58	11	this	this	DET
ajst-26221	58	12	paper	paper	NOUN
ajst-26221	58	13	,	,	PUNCT
ajst-26221	58	14	a	a	DET
ajst-26221	58	15	method	method	NOUN
ajst-26221	58	16	to	to	PART
ajst-26221	58	17	find	find	VERB
ajst-26221	58	18	the	the	DET
ajst-26221	58	19	optimal	optimal	ADJ
ajst-26221	58	20	path	path	NOUN
ajst-26221	58	21	under	under	ADP
ajst-26221	58	22	different	different	ADJ
ajst-26221	58	23	cutting	cutting	NOUN
ajst-26221	58	24	tasks	task	NOUN
ajst-26221	58	25	is	be	AUX
ajst-26221	58	26	proposed	propose	VERB
ajst-26221	58	27	by	by	ADP
ajst-26221	58	28	studying	study	VERB
ajst-26221	58	29	the	the	DET
ajst-26221	58	30	optimisation	optimisation	NOUN
ajst-26221	58	31	of	of	ADP
ajst-26221	58	32	steel	steel	NOUN
ajst-26221	58	33	plate	plate	NOUN
ajst-26221	58	34	cutting	cut	VERB
ajst-26221	58	35	paths	path	NOUN
ajst-26221	58	36	.	.	PUNCT
ajst-26221	59	1	in	in	ADP
ajst-26221	59	2	cutting	cut	VERB
ajst-26221	59	3	task	task	NOUN
ajst-26221	59	4	n1	n1	NOUN
ajst-26221	59	5	,	,	PUNCT
ajst-26221	59	6	nine	nine	NUM
ajst-26221	59	7	possible	possible	ADJ
ajst-26221	59	8	cutting	cutting	NOUN
ajst-26221	59	9	paths	path	NOUN
ajst-26221	59	10	are	be	AUX
ajst-26221	59	11	identified	identify	VERB
ajst-26221	59	12	by	by	ADP
ajst-26221	59	13	enumeration	enumeration	NOUN
ajst-26221	59	14	method	method	NOUN
ajst-26221	59	15	,	,	PUNCT
ajst-26221	59	16	and	and	CCONJ
ajst-26221	59	17	b1	b1	NOUN
ajst-26221	59	18	-	-	PUNCT
ajst-26221	59	19	b4	b4	NOUN
ajst-26221	59	20	-	-	PUNCT
ajst-26221	59	21	a4a3	a4a3	NOUN
ajst-26221	59	22	midpoint	midpoint	NOUN
ajst-26221	59	23	-	-	PUNCT
ajst-26221	59	24	b3	b3	NOUN
ajst-26221	59	25	-	-	PUNCT
ajst-26221	59	26	b2	b2	NOUN
ajst-26221	59	27	-	-	PUNCT
ajst-26221	59	28	b1	b1	NOUN
ajst-26221	59	29	is	be	AUX
ajst-26221	59	30	determined	determine	VERB
ajst-26221	59	31	as	as	ADP
ajst-26221	59	32	the	the	DET
ajst-26221	59	33	optimal	optimal	ADJ
ajst-26221	59	34	path	path	NOUN
ajst-26221	59	35	with	with	ADP
ajst-26221	59	36	a	a	DET
ajst-26221	59	37	total	total	ADJ
ajst-26221	59	38	length	length	NOUN
ajst-26221	59	39	of	of	ADP
ajst-26221	59	40	64.0312	64.0312	NUM
ajst-26221	59	41	units	unit	NOUN
ajst-26221	59	42	of	of	ADP
ajst-26221	59	43	empty	empty	ADJ
ajst-26221	59	44	travel	travel	NOUN
ajst-26221	59	45	.	.	PUNCT
ajst-26221	60	1	this	this	DET
ajst-26221	60	2	result	result	NOUN
ajst-26221	60	3	shows	show	VERB
ajst-26221	60	4	that	that	SCONJ
ajst-26221	60	5	,	,	PUNCT
ajst-26221	60	6	under	under	ADP
ajst-26221	60	7	the	the	DET
ajst-26221	60	8	consideration	consideration	NOUN
ajst-26221	60	9	of	of	ADP
ajst-26221	60	10	the	the	DET
ajst-26221	60	11	discontinuity	discontinuity	NOUN
ajst-26221	60	12	between	between	ADP
ajst-26221	60	13	the	the	DET
ajst-26221	60	14	boundary	boundary	NOUN
ajst-26221	60	15	and	and	CCONJ
ajst-26221	60	16	the	the	DET
ajst-26221	60	17	bore	bore	NOUN
ajst-26221	60	18	,	,	PUNCT
ajst-26221	60	19	the	the	DET
ajst-26221	60	20	rational	rational	ADJ
ajst-26221	60	21	arrangement	arrangement	NOUN
ajst-26221	60	22	of	of	ADP
ajst-26221	60	23	the	the	DET
ajst-26221	60	24	cutting	cut	VERB
ajst-26221	60	25	sequence	sequence	NOUN
ajst-26221	60	26	can	can	AUX
ajst-26221	60	27	significantly	significantly	ADV
ajst-26221	60	28	reduce	reduce	VERB
ajst-26221	60	29	the	the	DET
ajst-26221	60	30	air	air	NOUN
ajst-26221	60	31	-	-	PUNCT
ajst-26221	60	32	travel	travel	NOUN
ajst-26221	60	33	length	length	NOUN
ajst-26221	60	34	and	and	CCONJ
ajst-26221	60	35	improve	improve	VERB
ajst-26221	60	36	the	the	DET
ajst-26221	60	37	cutting	cut	VERB
ajst-26221	60	38	efficiency	efficiency	NOUN
ajst-26221	60	39	.	.	PUNCT
ajst-26221	61	1	in	in	ADP
ajst-26221	61	2	cutting	cut	VERB
ajst-26221	61	3	task	task	NOUN
ajst-26221	61	4	n2	n2	PROPN
ajst-26221	61	5	,	,	PUNCT
ajst-26221	61	6	the	the	DET
ajst-26221	61	7	bore	bore	NOUN
ajst-26221	61	8	includes	include	VERB
ajst-26221	61	9	four	four	NUM
ajst-26221	61	10	circles	circle	NOUN
ajst-26221	61	11	and	and	CCONJ
ajst-26221	61	12	one	one	NUM
ajst-26221	61	13	ellipse	ellipse	NOUN
ajst-26221	61	14	.	.	PUNCT
ajst-26221	62	1	the	the	DET
ajst-26221	62	2	shortest	short	ADJ
ajst-26221	62	3	distance	distance	NOUN
ajst-26221	62	4	from	from	ADP
ajst-26221	62	5	the	the	DET
ajst-26221	62	6	boundary	boundary	NOUN
ajst-26221	62	7	to	to	ADP
ajst-26221	62	8	each	each	DET
ajst-26221	62	9	inner	inner	ADJ
ajst-26221	62	10	hole	hole	NOUN
ajst-26221	62	11	is	be	AUX
ajst-26221	62	12	found	find	VERB
ajst-26221	62	13	by	by	ADP
ajst-26221	62	14	solving	solve	VERB
ajst-26221	62	15	the	the	DET
ajst-26221	62	16	nonlinear	nonlinear	ADJ
ajst-26221	62	17	programming	programming	NOUN
ajst-26221	62	18	model	model	NOUN
ajst-26221	62	19	.	.	PUNCT
ajst-26221	63	1	for	for	ADP
ajst-26221	63	2	the	the	DET
ajst-26221	63	3	circular	circular	ADJ
ajst-26221	63	4	bore	bore	NOUN
ajst-26221	63	5	,	,	PUNCT
ajst-26221	63	6	the	the	DET
ajst-26221	63	7	shortest	short	ADJ
ajst-26221	63	8	air	air	NOUN
ajst-26221	63	9	distance	distance	NOUN
ajst-26221	63	10	is	be	AUX
ajst-26221	63	11	2	2	NUM
ajst-26221	63	12	units	unit	NOUN
ajst-26221	63	13	,	,	PUNCT
ajst-26221	63	14	and	and	CCONJ
ajst-26221	63	15	two	two	NUM
ajst-26221	63	16	round	round	ADJ
ajst-26221	63	17	trips	trip	NOUN
ajst-26221	63	18	are	be	AUX
ajst-26221	63	19	4	4	NUM
ajst-26221	63	20	units	unit	NOUN
ajst-26221	63	21	,	,	PUNCT
ajst-26221	63	22	which	which	PRON
ajst-26221	63	23	is	be	AUX
ajst-26221	63	24	16	16	NUM
ajst-26221	63	25	units	unit	NOUN
ajst-26221	63	26	for	for	ADP
ajst-26221	63	27	a	a	DET
ajst-26221	63	28	total	total	NOUN
ajst-26221	63	29	of	of	ADP
ajst-26221	63	30	four	four	NUM
ajst-26221	63	31	circles	circle	NOUN
ajst-26221	63	32	.	.	PUNCT
ajst-26221	64	1	for	for	ADP
ajst-26221	64	2	elliptical	elliptical	ADJ
ajst-26221	64	3	bores	bore	NOUN
ajst-26221	64	4	,	,	PUNCT
ajst-26221	64	5	the	the	DET
ajst-26221	64	6	shortest	short	ADJ
ajst-26221	64	7	distance	distance	NOUN
ajst-26221	64	8	is	be	AUX
ajst-26221	64	9	7.78	7.78	NUM
ajst-26221	64	10	units	unit	NOUN
ajst-26221	64	11	for	for	ADP
ajst-26221	64	12	a	a	DET
ajst-26221	64	13	one	one	NUM
ajst-26221	64	14	-	-	PUNCT
ajst-26221	64	15	way	way	NOUN
ajst-26221	64	16	trip	trip	NOUN
ajst-26221	64	17	,	,	PUNCT
ajst-26221	64	18	and	and	CCONJ
ajst-26221	64	19	the	the	DET
ajst-26221	64	20	total	total	ADJ
ajst-26221	64	21	air	air	NOUN
ajst-26221	64	22	distance	distance	NOUN
ajst-26221	64	23	of	of	ADP
ajst-26221	64	24	the	the	DET
ajst-26221	64	25	optimal	optimal	ADJ
ajst-26221	64	26	path	path	NOUN
ajst-26221	64	27	is	be	AUX
ajst-26221	64	28	31.56	31.56	NUM
ajst-26221	64	29	units	unit	NOUN
ajst-26221	64	30	.	.	PUNCT
ajst-26221	65	1	these	these	DET
ajst-26221	65	2	results	result	NOUN
ajst-26221	65	3	further	far	ADV
ajst-26221	65	4	verify	verify	VERB
ajst-26221	65	5	that	that	SCONJ
ajst-26221	65	6	in	in	ADP
ajst-26221	65	7	the	the	DET
ajst-26221	65	8	cutting	cut	VERB
ajst-26221	65	9	task	task	NOUN
ajst-26221	65	10	of	of	ADP
ajst-26221	65	11	complex	complex	ADJ
ajst-26221	65	12	geometries	geometry	NOUN
ajst-26221	65	13	,	,	PUNCT
ajst-26221	65	14	the	the	DET
ajst-26221	65	15	air	air	NOUN
ajst-26221	65	16	travel	travel	NOUN
ajst-26221	65	17	length	length	NOUN
ajst-26221	65	18	can	can	AUX
ajst-26221	65	19	be	be	AUX
ajst-26221	65	20	effectively	effectively	ADV
ajst-26221	65	21	reduced	reduce	VERB
ajst-26221	65	22	by	by	ADP
ajst-26221	65	23	scientific	scientific	ADJ
ajst-26221	65	24	path	path	NOUN
ajst-26221	65	25	planning	planning	NOUN
ajst-26221	65	26	,	,	PUNCT
ajst-26221	65	27	which	which	PRON
ajst-26221	65	28	improves	improve	VERB
ajst-26221	65	29	the	the	DET
ajst-26221	65	30	productivity	productivity	NOUN
ajst-26221	65	31	and	and	CCONJ
ajst-26221	65	32	economic	economic	ADJ
ajst-26221	65	33	efficiency	efficiency	NOUN
ajst-26221	65	34	.	.	PUNCT
ajst-26221	66	1	in	in	ADP
ajst-26221	66	2	summary	summary	NOUN
ajst-26221	66	3	,	,	PUNCT
ajst-26221	66	4	this	this	DET
ajst-26221	66	5	study	study	NOUN
ajst-26221	66	6	not	not	PART
ajst-26221	66	7	only	only	ADV
ajst-26221	66	8	provides	provide	VERB
ajst-26221	66	9	a	a	DET
ajst-26221	66	10	specific	specific	ADJ
ajst-26221	66	11	optimization	optimization	NOUN
ajst-26221	66	12	method	method	NOUN
ajst-26221	66	13	,	,	PUNCT
ajst-26221	66	14	but	but	CCONJ
ajst-26221	66	15	also	also	ADV
ajst-26221	66	16	provides	provide	VERB
ajst-26221	66	17	theoretical	theoretical	ADJ
ajst-26221	66	18	support	support	NOUN
ajst-26221	66	19	and	and	CCONJ
ajst-26221	66	20	technical	technical	ADJ
ajst-26221	66	21	guidance	guidance	NOUN
ajst-26221	66	22	for	for	ADP
ajst-26221	66	23	the	the	DET
ajst-26221	66	24	path	path	NOUN
ajst-26221	66	25	planning	planning	NOUN
ajst-26221	66	26	of	of	ADP
ajst-26221	66	27	mould	mould	NOUN
ajst-26221	66	28	processing	processing	NOUN
ajst-26221	66	29	enterprises	enterprise	NOUN
ajst-26221	66	30	in	in	ADP
ajst-26221	66	31	the	the	DET
ajst-26221	66	32	actual	actual	ADJ
ajst-26221	66	33	production	production	NOUN
ajst-26221	66	34	,	,	PUNCT
ajst-26221	66	35	which	which	PRON
ajst-26221	66	36	helps	help	VERB
ajst-26221	66	37	enterprises	enterprise	NOUN
ajst-26221	66	38	to	to	PART
ajst-26221	66	39	achieve	achieve	VERB
ajst-26221	66	40	cost	cost	NOUN
ajst-26221	66	41	reduction	reduction	NOUN
ajst-26221	66	42	and	and	CCONJ
ajst-26221	66	43	benefit	benefit	NOUN
ajst-26221	66	44	enhancement	enhancement	NOUN
ajst-26221	66	45	under	under	ADP
ajst-26221	66	46	the	the	DET
ajst-26221	66	47	premise	premise	NOUN
ajst-26221	66	48	of	of	ADP
ajst-26221	66	49	ensuring	ensure	VERB
ajst-26221	66	50	the	the	DET
ajst-26221	66	51	cutting	cut	VERB
ajst-26221	66	52	quality	quality	NOUN
ajst-26221	66	53	.	.	PUNCT
ajst-26221	67	1	references	reference	NOUN
ajst-26221	67	2	[	[	X
ajst-26221	67	3	1	1	NUM
ajst-26221	67	4	]	]	PUNCT
ajst-26221	67	5	chentsov	chentsov	NOUN
ajst-26221	67	6	a	a	DET
ajst-26221	67	7	g	g	NOUN
ajst-26221	67	8	,	,	PUNCT
ajst-26221	67	9	chentsov	chentsov	NOUN
ajst-26221	67	10	p	p	PROPN
ajst-26221	67	11	a	a	PRON
ajst-26221	67	12	,	,	PUNCT
ajst-26221	67	13	petunin	petunin	NOUN
ajst-26221	67	14	a	a	DET
ajst-26221	67	15	a	a	NOUN
ajst-26221	67	16	,	,	PUNCT
ajst-26221	67	17	et	et	PROPN
ajst-26221	67	18	al	al	PROPN
ajst-26221	67	19	.	.	PROPN
ajst-26221	67	20	model	model	NOUN
ajst-26221	67	21	of	of	ADP
ajst-26221	67	22	megalopolises	megalopolis	NOUN
ajst-26221	67	23	in	in	ADP
ajst-26221	67	24	the	the	DET
ajst-26221	67	25	tool	tool	NOUN
ajst-26221	67	26	path	path	NOUN
ajst-26221	67	27	optimisation	optimisation	NOUN
ajst-26221	67	28	for	for	ADP
ajst-26221	67	29	cnc	cnc	ADJ
ajst-26221	67	30	plate	plate	NOUN
ajst-26221	67	31	cutting	cut	VERB
ajst-26221	67	32	machines[j	machines[j	PROPN
ajst-26221	67	33	]	]	PUNCT
ajst-26221	67	34	.	.	PUNCT
ajst-26221	68	1	international	international	ADJ
ajst-26221	68	2	journal	journal	PROPN
ajst-26221	68	3	of	of	ADP
ajst-26221	68	4	production	production	NOUN
ajst-26221	68	5	research	research	NOUN
ajst-26221	68	6	,	,	PUNCT
ajst-26221	68	7	2018	2018	NUM
ajst-26221	68	8	,	,	PUNCT
ajst-26221	68	9	56(14	56(14	NUM
ajst-26221	68	10	):	):	PUNCT
ajst-26221	68	11	4819	4819	NUM
ajst-26221	68	12	-	-	SYM
ajst-26221	68	13	4830	4830	NUM
ajst-26221	68	14	.	.	PUNCT
ajst-26221	69	1	[	[	X
ajst-26221	69	2	2	2	NUM
ajst-26221	69	3	]	]	X
ajst-26221	69	4	abbas	abbas	PROPN
ajst-26221	69	5	a	a	DET
ajst-26221	69	6	t	t	PROPN
ajst-26221	69	7	,	,	PUNCT
ajst-26221	69	8	aly	aly	PROPN
ajst-26221	69	9	m	m	PROPN
ajst-26221	69	10	f	f	PROPN
ajst-26221	69	11	,	,	PUNCT
ajst-26221	69	12	hamza	hamza	PROPN
ajst-26221	69	13	k.	k.	PROPN
ajst-26221	69	14	optimum	optimum	PROPN
ajst-26221	69	15	drilling	drilling	NOUN
ajst-26221	69	16	path	path	NOUN
ajst-26221	69	17	planning	planning	NOUN
ajst-26221	69	18	for	for	ADP
ajst-26221	69	19	a	a	DET
ajst-26221	69	20	rectangular	rectangular	ADJ
ajst-26221	69	21	matrix	matrix	NOUN
ajst-26221	69	22	of	of	ADP
ajst-26221	69	23	holes	hole	NOUN
ajst-26221	69	24	using	use	VERB
ajst-26221	69	25	ant	ant	ADJ
ajst-26221	69	26	colony	colony	NOUN
ajst-26221	69	27	optimisation[j	optimisation[j	PROPN
ajst-26221	69	28	]	]	PUNCT
ajst-26221	69	29	.	.	PUNCT
ajst-26221	70	1	international	international	ADJ
ajst-26221	70	2	journal	journal	PROPN
ajst-26221	70	3	of	of	ADP
ajst-26221	70	4	production	production	NOUN
ajst-26221	70	5	research	research	NOUN
ajst-26221	70	6	,	,	PUNCT
ajst-26221	70	7	2011	2011	NUM
ajst-26221	70	8	,	,	PUNCT
ajst-26221	70	9	49(19	49(19	NUM
ajst-26221	70	10	):	):	PUNCT
ajst-26221	70	11	5877	5877	NUM
ajst-26221	70	12	-	-	SYM
ajst-26221	70	13	5891	5891	NUM
ajst-26221	70	14	.	.	PUNCT
ajst-26221	71	1	[	[	X
ajst-26221	71	2	3	3	X
ajst-26221	71	3	]	]	PUNCT
ajst-26221	71	4	fountas	founta	NOUN
ajst-26221	71	5	n	n	NOUN
ajst-26221	71	6	a.	a.	NOUN
ajst-26221	71	7	a	a	DET
ajst-26221	71	8	virus	virus	NOUN
ajst-26221	71	9	-	-	PUNCT
ajst-26221	71	10	evolutionary	evolutionary	ADJ
ajst-26221	71	11	,	,	PUNCT
ajst-26221	71	12	multi	multi	ADJ
ajst-26221	71	13	-	-	ADJ
ajst-26221	71	14	objective	objective	ADJ
ajst-26221	71	15	intelligent	intelligent	ADJ
ajst-26221	71	16	tool	tool	NOUN
ajst-26221	71	17	path	path	NOUN
ajst-26221	71	18	optimisation	optimisation	NOUN
ajst-26221	71	19	methodology	methodology	NOUN
ajst-26221	71	20	for	for	ADP
ajst-26221	71	21	sculptured	sculptured	ADJ
ajst-26221	71	22	surface	surface	NOUN
ajst-26221	71	23	cnc	cnc	PROPN
ajst-26221	71	24	machining[d	machining[d	PROPN
ajst-26221	71	25	]	]	PUNCT
ajst-26221	71	26	.	.	PUNCT
ajst-26221	72	1	kingston	kingston	PROPN
ajst-26221	72	2	university	university	PROPN
ajst-26221	72	3	,	,	PUNCT
ajst-26221	72	4	2019	2019	NUM
ajst-26221	72	5	.	.	PUNCT
ajst-26221	73	1	[	[	X
ajst-26221	73	2	4	4	X
ajst-26221	73	3	]	]	X
ajst-26221	73	4	lu	lu	PROPN
ajst-26221	73	5	f	f	NOUN
ajst-26221	73	6	,	,	PUNCT
ajst-26221	73	7	zhou	zhou	PROPN
ajst-26221	73	8	g	g	PROPN
ajst-26221	73	9	,	,	PUNCT
ajst-26221	73	10	zhang	zhang	PROPN
ajst-26221	73	11	c	c	X
ajst-26221	73	12	,	,	PUNCT
ajst-26221	73	13	et	et	PROPN
ajst-26221	73	14	al	al	PROPN
ajst-26221	73	15	.	.	PROPN
ajst-26221	73	16	integrated	integrate	VERB
ajst-26221	73	17	optimisation	optimisation	NOUN
ajst-26221	73	18	of	of	ADP
ajst-26221	73	19	multipass	multipass	NOUN
ajst-26221	73	20	cutting	cut	VERB
ajst-26221	73	21	parameters	parameter	NOUN
ajst-26221	73	22	and	and	CCONJ
ajst-26221	73	23	tool	tool	NOUN
ajst-26221	73	24	path	path	NOUN
ajst-26221	73	25	with	with	ADP
ajst-26221	73	26	hierarchical	hierarchical	ADJ
ajst-26221	73	27	reinforcement	reinforcement	NOUN
ajst-26221	73	28	learning	learning	NOUN
ajst-26221	73	29	towards	towards	ADP
ajst-26221	73	30	green	green	PROPN
ajst-26221	73	31	manufacturing[j	manufacturing[j	PROPN
ajst-26221	73	32	]	]	PUNCT
ajst-26221	73	33	.	.	PUNCT
ajst-26221	74	1	robotics	robotic	NOUN
ajst-26221	74	2	and	and	CCONJ
ajst-26221	74	3	computer	computer	NOUN
ajst-26221	74	4	-	-	PUNCT
ajst-26221	74	5	integrated	integrate	VERB
ajst-26221	74	6	manufacturing	manufacturing	NOUN
ajst-26221	74	7	,	,	PUNCT
ajst-26221	74	8	2025	2025	NUM
ajst-26221	74	9	,	,	PUNCT
ajst-26221	74	10	91	91	NUM
ajst-26221	74	11	:	:	SYM
ajst-26221	74	12	102824	102824	NUM
ajst-26221	74	13	.	.	PUNCT
ajst-26221	75	1	[	[	X
ajst-26221	75	2	5	5	X
ajst-26221	75	3	]	]	PUNCT
ajst-26221	75	4	hong	hong	PROPN
ajst-26221	75	5	s	s	PROPN
ajst-26221	75	6	,	,	PUNCT
ajst-26221	75	7	lee	lee	PROPN
ajst-26221	75	8	s	s	PROPN
ajst-26221	75	9	u	u	PROPN
ajst-26221	75	10	,	,	PUNCT
ajst-26221	75	11	huang	huang	PROPN
ajst-26221	75	12	x	x	PROPN
ajst-26221	75	13	,	,	PUNCT
ajst-26221	75	14	et	et	PROPN
ajst-26221	75	15	al	al	PROPN
ajst-26221	75	16	.	.	PUNCT
ajst-26221	76	1	an	an	DET
ajst-26221	76	2	anytime	anytime	ADJ
ajst-26221	76	3	algorithm	algorithm	NOUN
ajst-26221	76	4	for	for	ADP
ajst-26221	76	5	chance	chance	NOUN
ajst-26221	76	6	constrained	constrain	VERB
ajst-26221	76	7	stochastic	stochastic	ADJ
ajst-26221	76	8	shortest	short	ADJ
ajst-26221	76	9	path	path	NOUN
ajst-26221	76	10	problems	problem	NOUN
ajst-26221	76	11	and	and	CCONJ
ajst-26221	76	12	its	its	PRON
ajst-26221	76	13	application	application	NOUN
ajst-26221	76	14	to	to	ADP
ajst-26221	76	15	aircraft	aircraft	NOUN
ajst-26221	76	16	routing[c]//2021	routing[c]//2021	PROPN
ajst-26221	76	17	ieee	ieee	PROPN
ajst-26221	76	18	international	international	ADJ
ajst-26221	76	19	conference	conference	NOUN
ajst-26221	76	20	on	on	ADP
ajst-26221	76	21	robotics	robotic	NOUN
ajst-26221	76	22	and	and	CCONJ
ajst-26221	76	23	automation	automation	NOUN
ajst-26221	76	24	(	(	PUNCT
ajst-26221	76	25	icra	icra	PROPN
ajst-26221	76	26	)	)	PUNCT
ajst-26221	76	27	.	.	PUNCT
ajst-26221	77	1	ieee	ieee	NOUN
ajst-26221	77	2	,	,	PUNCT
ajst-26221	77	3	2021	2021	NUM
ajst-26221	77	4	:	:	PUNCT
ajst-26221	77	5	475	475	NUM
ajst-26221	77	6	-	-	SYM
ajst-26221	77	7	481	481	NUM
ajst-26221	77	8	.	.	PUNCT