id	sid	tid	token	lemma	pos
iajs-1817	1	1	microsoft	microsoft	PROPN
iajs-1817	1	2	word	word	NOUN
iajs-1817	1	3	436	436	NUM
iajs-1817	1	4	-	-	SYM
iajs-1817	1	5	451	451	NUM
iajs-1817	1	6	ihsciconf	ihsciconf	NOUN
iajs-1817	1	7	2017	2017	NUM
iajs-1817	1	8	special	special	ADJ
iajs-1817	1	9	issue	issue	NOUN
iajs-1817	1	10	ibn	ibn	PROPN
iajs-1817	1	11	al	al	PROPN
iajs-1817	1	12	-	-	PUNCT
iajs-1817	1	13	haitham	haitham	PROPN
iajs-1817	1	14	journal	journal	PROPN
iajs-1817	1	15	for	for	ADP
iajs-1817	1	16	pure	pure	ADJ
iajs-1817	1	17	and	and	CCONJ
iajs-1817	1	18	applied	apply	VERB
iajs-1817	1	19	science	science	NOUN
iajs-1817	1	20	https://doi.org/	https://doi.org/	NOUN
iajs-1817	1	21	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	1	22	for	for	ADP
iajs-1817	1	23	more	more	ADJ
iajs-1817	1	24	information	information	NOUN
iajs-1817	1	25	about	about	ADP
iajs-1817	1	26	the	the	DET
iajs-1817	1	27	conference	conference	NOUN
iajs-1817	1	28	please	please	INTJ
iajs-1817	1	29	visit	visit	VERB
iajs-1817	1	30	the	the	DET
iajs-1817	1	31	websites	website	NOUN
iajs-1817	1	32	:	:	PUNCT
iajs-1817	1	33	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	1	34	   	   	SPACE
iajs-1817	1	35	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1817	1	36	   	   	SPACE
iajs-1817	1	37	mathematics|436	mathematics|436	ADJ
iajs-1817	1	38	    	    	SPACE
iajs-1817	1	39	local	local	ADJ
iajs-1817	1	40	search	search	NOUN
iajs-1817	1	41	algorithms	algorithm	NOUN
iajs-1817	1	42	for	for	ADP
iajs-1817	1	43	multi	multi	ADJ
iajs-1817	1	44	-	-	ADJ
iajs-1817	1	45	criteria	criteria	ADJ
iajs-1817	1	46	single	single	ADJ
iajs-1817	1	47	machine	machine	NOUN
iajs-1817	1	48	scheduling	scheduling	NOUN
iajs-1817	1	49	problem	problem	NOUN
iajs-1817	1	50	tariq	tariq	PROPN
iajs-1817	1	51	s.	s.	PROPN
iajs-1817	1	52	abdul	abdul	PROPN
iajs-1817	1	53	-	-	PUNCT
iajs-1817	1	54	razaq	razaq	PROPN
iajs-1817	1	55	abeer	abeer	PROPN
iajs-1817	1	56	o.	o.	PROPN
iajs-1817	1	57	akram	akram	PROPN
iajs-1817	1	58	abeeromar1985@gmail.com	abeeromar1985@gmail.com	PROPN
iajs-1817	1	59	dept	dept	PROPN
iajs-1817	1	60	.	.	PROPN
iajs-1817	2	1	of	of	ADP
iajs-1817	2	2	mathematics/	mathematics/	NUM
iajs-1817	2	3	college	college	NOUN
iajs-1817	2	4	of	of	ADP
iajs-1817	2	5	science	science	PROPN
iajs-1817	2	6	/	/	SYM
iajs-1817	2	7	university	university	PROPN
iajs-1817	2	8	of	of	ADP
iajs-1817	2	9	al	al	PROPN
iajs-1817	2	10	-	-	PUNCT
iajs-1817	2	11	mustansiriyah	mustansiriyah	NOUN
iajs-1817	2	12	abstract	abstract	ADJ
iajs-1817	2	13	real	real	ADJ
iajs-1817	2	14	life	life	NOUN
iajs-1817	2	15	scheduling	scheduling	NOUN
iajs-1817	2	16	problems	problem	NOUN
iajs-1817	2	17	require	require	VERB
iajs-1817	2	18	the	the	DET
iajs-1817	2	19	decision	decision	NOUN
iajs-1817	2	20	maker	maker	NOUN
iajs-1817	2	21	to	to	PART
iajs-1817	2	22	consider	consider	VERB
iajs-1817	2	23	a	a	DET
iajs-1817	2	24	number	number	NOUN
iajs-1817	2	25	of	of	ADP
iajs-1817	2	26	criteria	criterion	NOUN
iajs-1817	2	27	before	before	ADP
iajs-1817	2	28	arriving	arrive	VERB
iajs-1817	2	29	at	at	ADP
iajs-1817	2	30	any	any	DET
iajs-1817	2	31	decision	decision	NOUN
iajs-1817	2	32	.	.	PUNCT
iajs-1817	3	1	in	in	ADP
iajs-1817	3	2	this	this	DET
iajs-1817	3	3	paper	paper	NOUN
iajs-1817	3	4	,	,	PUNCT
iajs-1817	3	5	we	we	PRON
iajs-1817	3	6	consider	consider	VERB
iajs-1817	3	7	the	the	DET
iajs-1817	3	8	multi	multi	ADJ
iajs-1817	3	9	-	-	ADJ
iajs-1817	3	10	criteria	criteria	ADJ
iajs-1817	3	11	scheduling	scheduling	NOUN
iajs-1817	3	12	problem	problem	NOUN
iajs-1817	3	13	of	of	ADP
iajs-1817	3	14	n	n	DET
iajs-1817	3	15	jobs	job	NOUN
iajs-1817	3	16	on	on	ADP
iajs-1817	3	17	single	single	ADJ
iajs-1817	3	18	machine	machine	NOUN
iajs-1817	3	19	to	to	PART
iajs-1817	3	20	minimize	minimize	VERB
iajs-1817	3	21	a	a	DET
iajs-1817	3	22	function	function	NOUN
iajs-1817	3	23	of	of	ADP
iajs-1817	3	24	five	five	NUM
iajs-1817	3	25	criteria	criterion	NOUN
iajs-1817	3	26	denoted	denote	VERB
iajs-1817	3	27	by	by	ADP
iajs-1817	3	28	total	total	ADJ
iajs-1817	3	29	completion	completion	NOUN
iajs-1817	3	30	times	time	NOUN
iajs-1817	3	31	(	(	PUNCT
iajs-1817	3	32	∑𝐶	∑𝐶	PROPN
iajs-1817	3	33	)	)	PUNCT
iajs-1817	3	34	,	,	PUNCT
iajs-1817	3	35	total	total	ADJ
iajs-1817	3	36	tardiness	tardiness	NOUN
iajs-1817	3	37	(	(	PUNCT
iajs-1817	3	38	∑𝑇	∑𝑇	PROPN
iajs-1817	3	39	)	)	PUNCT
iajs-1817	3	40	,	,	PUNCT
iajs-1817	3	41	total	total	ADJ
iajs-1817	3	42	earliness	earliness	NOUN
iajs-1817	3	43	(	(	PUNCT
iajs-1817	3	44	∑𝐸	∑𝐸	PROPN
iajs-1817	3	45	)	)	PUNCT
iajs-1817	3	46	,	,	PUNCT
iajs-1817	3	47	maximum	maximum	ADJ
iajs-1817	3	48	tardiness	tardiness	NOUN
iajs-1817	3	49	(	(	PUNCT
iajs-1817	3	50	𝑇	𝑇	PROPN
iajs-1817	3	51	)	)	PUNCT
iajs-1817	3	52	and	and	CCONJ
iajs-1817	3	53	maximum	maximum	ADJ
iajs-1817	3	54	earliness	earliness	NOUN
iajs-1817	3	55	(	(	PUNCT
iajs-1817	3	56	𝐸	𝐸	PROPN
iajs-1817	3	57	)	)	PUNCT
iajs-1817	3	58	.	.	PUNCT
iajs-1817	4	1	the	the	DET
iajs-1817	4	2	single	single	ADJ
iajs-1817	4	3	machine	machine	NOUN
iajs-1817	4	4	total	total	NOUN
iajs-1817	4	5	tardiness	tardiness	NOUN
iajs-1817	4	6	problem	problem	NOUN
iajs-1817	4	7	and	and	CCONJ
iajs-1817	4	8	total	total	ADJ
iajs-1817	4	9	earliness	earliness	NOUN
iajs-1817	4	10	problem	problem	NOUN
iajs-1817	4	11	are	be	AUX
iajs-1817	4	12	already	already	ADV
iajs-1817	4	13	np	np	NOUN
iajs-1817	4	14	-	-	PUNCT
iajs-1817	4	15	hard	hard	ADJ
iajs-1817	4	16	,	,	PUNCT
iajs-1817	4	17	so	so	CCONJ
iajs-1817	4	18	the	the	DET
iajs-1817	4	19	considered	consider	VERB
iajs-1817	4	20	problem	problem	NOUN
iajs-1817	4	21	is	be	AUX
iajs-1817	4	22	strongly	strongly	ADV
iajs-1817	4	23	np	np	NOUN
iajs-1817	4	24	-	-	PUNCT
iajs-1817	4	25	hard	hard	ADJ
iajs-1817	4	26	.	.	PUNCT
iajs-1817	5	1	we	we	PRON
iajs-1817	5	2	apply	apply	VERB
iajs-1817	5	3	two	two	NUM
iajs-1817	5	4	local	local	ADJ
iajs-1817	5	5	search	search	NOUN
iajs-1817	5	6	algorithms	algorithm	NOUN
iajs-1817	5	7	(	(	PUNCT
iajs-1817	5	8	lsas	lsa	NOUN
iajs-1817	5	9	)	)	PUNCT
iajs-1817	5	10	descent	descent	NOUN
iajs-1817	5	11	method	method	NOUN
iajs-1817	5	12	(	(	PUNCT
iajs-1817	5	13	dm	dm	PROPN
iajs-1817	5	14	)	)	PUNCT
iajs-1817	5	15	and	and	CCONJ
iajs-1817	5	16	simulated	simulate	VERB
iajs-1817	5	17	annealing	annealing	NOUN
iajs-1817	5	18	method	method	NOUN
iajs-1817	5	19	(	(	PUNCT
iajs-1817	5	20	sm	sm	INTJ
iajs-1817	5	21	)	)	PUNCT
iajs-1817	5	22	for	for	ADP
iajs-1817	5	23	the	the	DET
iajs-1817	5	24	1//	1//	NUM
iajs-1817	5	25	(	(	PUNCT
iajs-1817	5	26	∑𝐶	∑𝐶	PROPN
iajs-1817	5	27	∑𝑇	∑𝑇	PROPN
iajs-1817	5	28	∑𝐸	∑𝐸	PROPN
iajs-1817	5	29	𝑇	𝑇	PROPN
iajs-1817	5	30	𝐸	𝐸	PROPN
iajs-1817	5	31	)	)	PUNCT
iajs-1817	5	32	problem	problem	NOUN
iajs-1817	5	33	(	(	PUNCT
iajs-1817	5	34	sp	sp	NOUN
iajs-1817	5	35	)	)	PUNCT
iajs-1817	5	36	to	to	PART
iajs-1817	5	37	find	find	VERB
iajs-1817	5	38	near	near	ADP
iajs-1817	5	39	optimal	optimal	ADJ
iajs-1817	5	40	solutions	solution	NOUN
iajs-1817	5	41	.	.	PUNCT
iajs-1817	6	1	the	the	DET
iajs-1817	6	2	local	local	ADJ
iajs-1817	6	3	search	search	NOUN
iajs-1817	6	4	methods	method	NOUN
iajs-1817	6	5	are	be	AUX
iajs-1817	6	6	used	use	VERB
iajs-1817	6	7	to	to	PART
iajs-1817	6	8	speed	speed	VERB
iajs-1817	6	9	up	up	ADP
iajs-1817	6	10	the	the	DET
iajs-1817	6	11	process	process	NOUN
iajs-1817	6	12	of	of	ADP
iajs-1817	6	13	finding	find	VERB
iajs-1817	6	14	a	a	DET
iajs-1817	6	15	good	good	ADJ
iajs-1817	6	16	enough	enough	ADJ
iajs-1817	6	17	solution	solution	NOUN
iajs-1817	6	18	,	,	PUNCT
iajs-1817	6	19	where	where	SCONJ
iajs-1817	6	20	an	an	DET
iajs-1817	6	21	exhaustive	exhaustive	ADJ
iajs-1817	6	22	search	search	NOUN
iajs-1817	6	23	is	be	AUX
iajs-1817	6	24	impractical	impractical	ADJ
iajs-1817	6	25	for	for	ADP
iajs-1817	6	26	the	the	DET
iajs-1817	6	27	exact	exact	ADJ
iajs-1817	6	28	solution	solution	NOUN
iajs-1817	6	29	.	.	PUNCT
iajs-1817	7	1	the	the	DET
iajs-1817	7	2	two	two	NUM
iajs-1817	7	3	heuristic	heuristic	NOUN
iajs-1817	7	4	(	(	PUNCT
iajs-1817	7	5	dm	dm	PROPN
iajs-1817	7	6	and	and	CCONJ
iajs-1817	7	7	sm	sm	NOUN
iajs-1817	7	8	)	)	PUNCT
iajs-1817	7	9	were	be	AUX
iajs-1817	7	10	compared	compare	VERB
iajs-1817	7	11	with	with	ADP
iajs-1817	7	12	the	the	DET
iajs-1817	7	13	branch	branch	NOUN
iajs-1817	7	14	and	and	CCONJ
iajs-1817	7	15	bound	bind	VERB
iajs-1817	7	16	(	(	PUNCT
iajs-1817	7	17	bab	bab	PROPN
iajs-1817	7	18	)	)	PUNCT
iajs-1817	7	19	algorithm	algorithm	NOUN
iajs-1817	7	20	in	in	ADP
iajs-1817	7	21	order	order	NOUN
iajs-1817	7	22	to	to	PART
iajs-1817	7	23	evaluate	evaluate	VERB
iajs-1817	7	24	effectiveness	effectiveness	NOUN
iajs-1817	7	25	of	of	ADP
iajs-1817	7	26	the	the	DET
iajs-1817	7	27	solution	solution	NOUN
iajs-1817	7	28	methods	method	NOUN
iajs-1817	7	29	.	.	PUNCT
iajs-1817	8	1	some	some	DET
iajs-1817	8	2	experimental	experimental	ADJ
iajs-1817	8	3	results	result	NOUN
iajs-1817	8	4	are	be	AUX
iajs-1817	8	5	presented	present	VERB
iajs-1817	8	6	to	to	PART
iajs-1817	8	7	show	show	VERB
iajs-1817	8	8	the	the	DET
iajs-1817	8	9	applicability	applicability	NOUN
iajs-1817	8	10	of	of	ADP
iajs-1817	8	11	the	the	DET
iajs-1817	8	12	(	(	PUNCT
iajs-1817	8	13	bab	bab	PROPN
iajs-1817	8	14	)	)	PUNCT
iajs-1817	8	15	algorithm	algorithm	NOUN
iajs-1817	8	16	and	and	CCONJ
iajs-1817	8	17	(	(	PUNCT
iajs-1817	8	18	lsas	lsa	NOUN
iajs-1817	8	19	)	)	PUNCT
iajs-1817	8	20	.	.	PUNCT
iajs-1817	9	1	with	with	ADP
iajs-1817	9	2	a	a	DET
iajs-1817	9	3	reasonable	reasonable	ADJ
iajs-1817	9	4	time	time	NOUN
iajs-1817	9	5	,	,	PUNCT
iajs-1817	9	6	(	(	PUNCT
iajs-1817	9	7	lsas	lsa	NOUN
iajs-1817	9	8	)	)	PUNCT
iajs-1817	9	9	may	may	AUX
iajs-1817	9	10	solve	solve	VERB
iajs-1817	9	11	the	the	DET
iajs-1817	9	12	problem	problem	NOUN
iajs-1817	9	13	(	(	PUNCT
iajs-1817	9	14	sp	sp	NOUN
iajs-1817	9	15	)	)	PUNCT
iajs-1817	9	16	up	up	ADP
iajs-1817	9	17	to	to	PART
iajs-1817	9	18	5000	5000	NUM
iajs-1817	9	19	jobs	job	NOUN
iajs-1817	9	20	.	.	PUNCT
iajs-1817	10	1	keywords	keyword	NOUN
iajs-1817	10	2	:	:	PUNCT
iajs-1817	10	3	multicriteria	multicriteria	NOUN
iajs-1817	10	4	;	;	PUNCT
iajs-1817	10	5	scheduling	scheduling	NOUN
iajs-1817	10	6	;	;	PUNCT
iajs-1817	10	7	single	single	ADJ
iajs-1817	10	8	machine	machine	NOUN
iajs-1817	10	9	;	;	PUNCT
iajs-1817	10	10	earliness	earliness	NOUN
iajs-1817	10	11	-	-	PUNCT
iajs-1817	10	12	tardiness	tardiness	NOUN
iajs-1817	10	13	;	;	PUNCT
iajs-1817	10	14	local	local	ADJ
iajs-1817	10	15	search	search	NOUN
iajs-1817	10	16	methods	method	NOUN
iajs-1817	10	17	.	.	PUNCT
iajs-1817	11	1	ihsciconf	ihsciconf	PROPN
iajs-1817	11	2	2017	2017	NUM
iajs-1817	11	3	special	special	ADJ
iajs-1817	11	4	issue	issue	NOUN
iajs-1817	11	5	ibn	ibn	PROPN
iajs-1817	11	6	al	al	PROPN
iajs-1817	11	7	-	-	PUNCT
iajs-1817	11	8	haitham	haitham	PROPN
iajs-1817	11	9	journal	journal	PROPN
iajs-1817	11	10	for	for	ADP
iajs-1817	11	11	pure	pure	ADJ
iajs-1817	11	12	and	and	CCONJ
iajs-1817	11	13	applied	apply	VERB
iajs-1817	11	14	science	science	NOUN
iajs-1817	11	15	https://doi.org/	https://doi.org/	NOUN
iajs-1817	11	16	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	11	17	for	for	ADP
iajs-1817	11	18	more	more	ADJ
iajs-1817	11	19	information	information	NOUN
iajs-1817	11	20	about	about	ADP
iajs-1817	11	21	the	the	DET
iajs-1817	11	22	conference	conference	NOUN
iajs-1817	11	23	please	please	INTJ
iajs-1817	11	24	visit	visit	VERB
iajs-1817	11	25	the	the	DET
iajs-1817	11	26	websites	website	NOUN
iajs-1817	11	27	:	:	PUNCT
iajs-1817	11	28	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	11	29	   	   	SPACE
iajs-1817	11	30	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1817	11	31	   	   	SPACE
iajs-1817	11	32	mathematics|437	mathematics|437	ADJ
iajs-1817	11	33	    	    	SPACE
iajs-1817	11	34	1	1	NUM
iajs-1817	11	35	.	.	PUNCT
iajs-1817	12	1	introduction	introduction	NOUN
iajs-1817	12	2	scheduling	scheduling	NOUN
iajs-1817	12	3	is	be	AUX
iajs-1817	12	4	allocation	allocation	NOUN
iajs-1817	12	5	of	of	ADP
iajs-1817	12	6	resources	resource	NOUN
iajs-1817	12	7	(	(	PUNCT
iajs-1817	12	8	machines	machine	NOUN
iajs-1817	12	9	)	)	PUNCT
iajs-1817	12	10	over	over	ADP
iajs-1817	12	11	time	time	NOUN
iajs-1817	12	12	to	to	PART
iajs-1817	12	13	perform	perform	VERB
iajs-1817	12	14	a	a	DET
iajs-1817	12	15	collection	collection	NOUN
iajs-1817	12	16	of	of	ADP
iajs-1817	12	17	tasks	task	NOUN
iajs-1817	12	18	(	(	PUNCT
iajs-1817	12	19	jobs	job	NOUN
iajs-1817	12	20	)	)	PUNCT
iajs-1817	12	21	.	.	PUNCT
iajs-1817	13	1	generally	generally	ADV
iajs-1817	13	2	speaking	speak	VERB
iajs-1817	13	3	,	,	PUNCT
iajs-1817	13	4	scheduling	scheduling	NOUN
iajs-1817	13	5	means	mean	VERB
iajs-1817	13	6	to	to	PART
iajs-1817	13	7	assign	assign	VERB
iajs-1817	13	8	machines	machine	NOUN
iajs-1817	13	9	to	to	ADP
iajs-1817	13	10	jobs	job	NOUN
iajs-1817	13	11	in	in	ADP
iajs-1817	13	12	order	order	NOUN
iajs-1817	13	13	to	to	PART
iajs-1817	13	14	complete	complete	VERB
iajs-1817	13	15	all	all	DET
iajs-1817	13	16	jobs	job	NOUN
iajs-1817	13	17	under	under	ADP
iajs-1817	13	18	the	the	DET
iajs-1817	13	19	imposed	impose	VERB
iajs-1817	13	20	constraints	constraint	NOUN
iajs-1817	13	21	.	.	PUNCT
iajs-1817	14	1	the	the	DET
iajs-1817	14	2	problem	problem	NOUN
iajs-1817	14	3	of	of	ADP
iajs-1817	14	4	scheduling	schedule	VERB
iajs-1817	14	5	a	a	DET
iajs-1817	14	6	set	set	NOUN
iajs-1817	14	7	n	n	NOUN
iajs-1817	14	8	=	=	NOUN
iajs-1817	14	9	{	{	PUNCT
iajs-1817	14	10	1,	1,	NUM
iajs-1817	14	11	…	…	SYM
iajs-1817	14	12	,n	,n	NOUN
iajs-1817	14	13	}	}	PUNCT
iajs-1817	14	14	of	of	ADP
iajs-1817	14	15	n	n	DET
iajs-1817	14	16	jobs	job	NOUN
iajs-1817	14	17	on	on	ADP
iajs-1817	14	18	a	a	DET
iajs-1817	14	19	single	single	ADJ
iajs-1817	14	20	machine	machine	NOUN
iajs-1817	14	21	.	.	PUNCT
iajs-1817	15	1	each	each	DET
iajs-1817	15	2	job	job	NOUN
iajs-1817	15	3	i∈n	i∈n	NOUN
iajs-1817	15	4	has	have	AUX
iajs-1817	15	5	processing	process	VERB
iajs-1817	15	6	time	time	NOUN
iajs-1817	15	7	p	p	NOUN
iajs-1817	15	8	and	and	CCONJ
iajs-1817	15	9	a	a	DET
iajs-1817	15	10	due	due	ADJ
iajs-1817	15	11	date	date	NOUN
iajs-1817	15	12	𝑑	𝑑	NOUN
iajs-1817	15	13	.	.	PUNCT
iajs-1817	16	1	if	if	SCONJ
iajs-1817	16	2	a	a	DET
iajs-1817	16	3	given	give	VERB
iajs-1817	16	4	schedule	schedule	NOUN
iajs-1817	16	5	𝜎=	𝜎=	ADJ
iajs-1817	16	6	(	(	PUNCT
iajs-1817	16	7	1,	1,	NUM
iajs-1817	16	8	…	…	SYM
iajs-1817	16	9	,n	,n	NOUN
iajs-1817	16	10	)	)	PUNCT
iajs-1817	16	11	,	,	PUNCT
iajs-1817	16	12	then	then	ADV
iajs-1817	16	13	the	the	DET
iajs-1817	16	14	completion	completion	NOUN
iajs-1817	16	15	time	time	NOUN
iajs-1817	16	16	c	c	NOUN
iajs-1817	16	17	=	=	NOUN
iajs-1817	16	18	∑	∑	PROPN
iajs-1817	16	19	p	p	X
iajs-1817	16	20	,	,	PUNCT
iajs-1817	16	21	the	the	DET
iajs-1817	16	22	tardiness	tardiness	NOUN
iajs-1817	16	23	of	of	ADP
iajs-1817	16	24	job	job	NOUN
iajs-1817	16	25	i	i	PRON
iajs-1817	16	26	𝑇	𝑇	PROPN
iajs-1817	16	27	=	=	PROPN
iajs-1817	16	28	max{𝑐	max{𝑐	X
iajs-1817	16	29	-𝑑	-𝑑	X
iajs-1817	16	30	,	,	PUNCT
iajs-1817	16	31	0	0	NUM
iajs-1817	16	32	}	}	PUNCT
iajs-1817	16	33	and	and	CCONJ
iajs-1817	16	34	earliness	earliness	NOUN
iajs-1817	16	35	of	of	ADP
iajs-1817	16	36	job	job	NOUN
iajs-1817	17	1	i	i	PRON
iajs-1817	17	2	𝐸	𝐸	NOUN
iajs-1817	17	3	=	=	ADJ
iajs-1817	17	4	max{𝑑	max{𝑑	X
iajs-1817	17	5	-𝑐	-𝑐	X
iajs-1817	17	6	,	,	PUNCT
iajs-1817	17	7	0	0	NUM
iajs-1817	17	8	}	}	PUNCT
iajs-1817	17	9	,	,	PUNCT
iajs-1817	17	10	consequently	consequently	ADV
iajs-1817	17	11	we	we	PRON
iajs-1817	17	12	have	have	VERB
iajs-1817	17	13	total	total	ADJ
iajs-1817	17	14	completion	completion	NOUN
iajs-1817	17	15	time	time	NOUN
iajs-1817	17	16	∑	∑	PROPN
iajs-1817	17	17	𝐶∈	𝐶∈	ADP
iajs-1817	17	18	,	,	PUNCT
iajs-1817	17	19	total	total	ADJ
iajs-1817	17	20	tardiness	tardiness	NOUN
iajs-1817	17	21	∑	∑	PUNCT
iajs-1817	17	22	𝑇∈	𝑇∈	NOUN
iajs-1817	17	23	,	,	PUNCT
iajs-1817	17	24	maximum	maximum	ADJ
iajs-1817	17	25	tardiness	tardiness	NOUN
iajs-1817	17	26	𝑇	𝑇	PROPN
iajs-1817	17	27	=	=	PUNCT
iajs-1817	17	28	𝑚𝑎𝑥	𝑚𝑎𝑥	ADJ
iajs-1817	17	29	∈	∈	PROPN
iajs-1817	17	30	𝑇	𝑇	PROPN
iajs-1817	17	31	,	,	PUNCT
iajs-1817	17	32	total	total	ADJ
iajs-1817	17	33	earliness	earliness	NOUN
iajs-1817	17	34	∑	∑	PUNCT
iajs-1817	17	35	𝐸∈	𝐸∈	ADJ
iajs-1817	17	36	and	and	CCONJ
iajs-1817	17	37	maximum	maximum	ADJ
iajs-1817	17	38	earliness	earliness	NOUN
iajs-1817	17	39	𝐸	𝐸	NOUN
iajs-1817	17	40	=	=	PUNCT
iajs-1817	17	41	𝑚𝑎𝑥	𝑚𝑎𝑥	NOUN
iajs-1817	17	42	∈	∈	PROPN
iajs-1817	17	43	𝐸	𝐸	PROPN
iajs-1817	17	44	.	.	PUNCT
iajs-1817	18	1	for	for	SCONJ
iajs-1817	18	2	the	the	DET
iajs-1817	18	3	maximum	maximum	ADJ
iajs-1817	18	4	tardiness	tardiness	NOUN
iajs-1817	18	5	for	for	ADP
iajs-1817	18	6	1//𝑇	1//𝑇	NUM
iajs-1817	18	7	problem	problem	NOUN
iajs-1817	18	8	is	be	AUX
iajs-1817	18	9	minimized	minimize	VERB
iajs-1817	18	10	by	by	ADP
iajs-1817	18	11	edd	edd	PROPN
iajs-1817	18	12	(	(	PUNCT
iajs-1817	18	13	earliest	early	ADJ
iajs-1817	18	14	due	due	ADJ
iajs-1817	18	15	date	date	NOUN
iajs-1817	18	16	)	)	PUNCT
iajs-1817	18	17	rule	rule	NOUN
iajs-1817	18	18	to	to	ADP
iajs-1817	18	19	jackson	jackson	PROPN
iajs-1817	18	20	1955[9	1955[9	NUM
iajs-1817	18	21	]	]	PUNCT
iajs-1817	18	22	.	.	PUNCT
iajs-1817	19	1	the	the	DET
iajs-1817	19	2	1//∑𝐶	1//∑𝐶	PROPN
iajs-1817	19	3	problem	problem	NOUN
iajs-1817	19	4	,	,	PUNCT
iajs-1817	19	5	the	the	DET
iajs-1817	19	6	(	(	PUNCT
iajs-1817	19	7	spt	spt	NOUN
iajs-1817	19	8	)	)	PUNCT
iajs-1817	19	9	(	(	PUNCT
iajs-1817	19	10	shortest	short	ADJ
iajs-1817	19	11	processing	processing	NOUN
iajs-1817	19	12	time	time	NOUN
iajs-1817	19	13	)	)	PUNCT
iajs-1817	19	14	rule	rule	NOUN
iajs-1817	19	15	is	be	AUX
iajs-1817	19	16	optimal	optimal	ADJ
iajs-1817	19	17	to	to	ADP
iajs-1817	19	18	smith	smith	PROPN
iajs-1817	19	19	1956[13	1956[13	NUM
iajs-1817	19	20	]	]	PUNCT
iajs-1817	19	21	.	.	PUNCT
iajs-1817	20	1	the	the	DET
iajs-1817	20	2	maximum	maximum	ADJ
iajs-1817	20	3	earliness	earliness	NOUN
iajs-1817	20	4	for	for	ADP
iajs-1817	20	5	1//𝐸	1//𝐸	NUM
iajs-1817	20	6	problem	problem	NOUN
iajs-1817	20	7	is	be	AUX
iajs-1817	20	8	minimized	minimize	VERB
iajs-1817	20	9	by	by	ADP
iajs-1817	20	10	mst	mst	PROPN
iajs-1817	20	11	(	(	PUNCT
iajs-1817	20	12	minimum	minimum	ADJ
iajs-1817	20	13	slack	slack	NOUN
iajs-1817	20	14	time	time	NOUN
iajs-1817	20	15	)	)	PUNCT
iajs-1817	20	16	rule	rule	NOUN
iajs-1817	21	1	[	[	X
iajs-1817	21	2	3	3	NUM
iajs-1817	21	3	]	]	PUNCT
iajs-1817	21	4	,	,	PUNCT
iajs-1817	21	5	where	where	SCONJ
iajs-1817	21	6	the	the	DET
iajs-1817	21	7	two	two	NUM
iajs-1817	21	8	problems	problem	NOUN
iajs-1817	21	9	1//∑	1//∑	NUM
iajs-1817	21	10	𝑇	𝑇	PROPN
iajs-1817	21	11	and	and	CCONJ
iajs-1817	21	12	1//∑	1//∑	NUM
iajs-1817	21	13	𝐸	𝐸	PROPN
iajs-1817	21	14	are	be	AUX
iajs-1817	21	15	nphard	nphard	ADJ
iajs-1817	21	16	(	(	PUNCT
iajs-1817	21	17	[	[	X
iajs-1817	21	18	6],[11	6],[11	NOUN
iajs-1817	21	19	]	]	PUNCT
iajs-1817	21	20	)	)	PUNCT
iajs-1817	22	1	and	and	CCONJ
iajs-1817	22	2	[	[	X
iajs-1817	22	3	3	3	X
iajs-1817	22	4	]	]	PUNCT
iajs-1817	22	5	respectively	respectively	ADV
iajs-1817	22	6	.	.	PUNCT
iajs-1817	23	1	any	any	DET
iajs-1817	23	2	problem	problem	NOUN
iajs-1817	23	3	including	include	VERB
iajs-1817	23	4	such	such	ADJ
iajs-1817	23	5	cost	cost	NOUN
iajs-1817	23	6	functions	function	NOUN
iajs-1817	23	7	as	as	ADP
iajs-1817	23	8	subproblem	subproblem	NOUN
iajs-1817	23	9	is	be	AUX
iajs-1817	23	10	np	np	INTJ
iajs-1817	23	11	-	-	PUNCT
iajs-1817	23	12	hard	hard	ADJ
iajs-1817	23	13	.	.	PUNCT
iajs-1817	24	1	the	the	DET
iajs-1817	24	2	first	first	ADJ
iajs-1817	24	3	bi	bi	ADJ
iajs-1817	24	4	-	-	ADJ
iajs-1817	24	5	criteria	criterion	NOUN
iajs-1817	24	6	scheduling	scheduling	NOUN
iajs-1817	24	7	problem	problem	NOUN
iajs-1817	24	8	was	be	AUX
iajs-1817	24	9	already	already	ADV
iajs-1817	24	10	solved	solve	VERB
iajs-1817	24	11	by	by	ADP
iajs-1817	24	12	smith	smith	PROPN
iajs-1817	24	13	(	(	PUNCT
iajs-1817	24	14	1956	1956	NUM
iajs-1817	24	15	)	)	PUNCT
iajs-1817	25	1	[	[	X
iajs-1817	25	2	13	13	NUM
iajs-1817	25	3	]	]	PUNCT
iajs-1817	25	4	the	the	DET
iajs-1817	25	5	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	25	6	,	,	PUNCT
iajs-1817	25	7	𝑇	𝑇	PROPN
iajs-1817	25	8	)	)	PUNCT
iajs-1817	25	9	problem	problem	NOUN
iajs-1817	25	10	subject	subject	ADJ
iajs-1817	25	11	to	to	ADP
iajs-1817	25	12	t	t	NOUN
iajs-1817	25	13	=	=	SYM
iajs-1817	25	14	0	0	NUM
iajs-1817	25	15	is	be	AUX
iajs-1817	25	16	imposed	impose	VERB
iajs-1817	25	17	by	by	ADP
iajs-1817	25	18	using	use	VERB
iajs-1817	25	19	back	back	ADP
iajs-1817	25	20	ward	ward	NOUN
iajs-1817	25	21	algorithm	algorithm	NOUN
iajs-1817	25	22	,	,	PUNCT
iajs-1817	25	23	only	only	ADV
iajs-1817	25	24	a	a	DET
iajs-1817	25	25	few	few	ADJ
iajs-1817	25	26	bi	bi	ADJ
iajs-1817	25	27	-	-	ADJ
iajs-1817	25	28	criteria	criterion	NOUN
iajs-1817	25	29	scheduling	scheduling	NOUN
iajs-1817	25	30	problem	problem	NOUN
iajs-1817	25	31	have	have	AUX
iajs-1817	25	32	been	be	AUX
iajs-1817	25	33	investigated	investigate	VERB
iajs-1817	25	34	since	since	SCONJ
iajs-1817	25	35	then	then	ADV
iajs-1817	25	36	.	.	PUNCT
iajs-1817	26	1	van	van	PROPN
iajs-1817	26	2	wassenhove	wassenhove	PROPN
iajs-1817	26	3	&	&	CCONJ
iajs-1817	26	4	gelder	gelder	PROPN
iajs-1817	26	5	(	(	PUNCT
iajs-1817	26	6	1980	1980	NUM
iajs-1817	26	7	)	)	PUNCT
iajs-1817	27	1	[	[	X
iajs-1817	27	2	16	16	NUM
iajs-1817	27	3	]	]	PUNCT
iajs-1817	27	4	studied	study	VERB
iajs-1817	27	5	the	the	DET
iajs-1817	27	6	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	27	7	,	,	PUNCT
iajs-1817	27	8	𝑇	𝑇	PROPN
iajs-1817	27	9	)	)	PUNCT
iajs-1817	27	10	problem	problem	NOUN
iajs-1817	27	11	.	.	PUNCT
iajs-1817	28	1	the	the	DET
iajs-1817	28	2	set	set	NOUN
iajs-1817	28	3	of	of	ADP
iajs-1817	28	4	efficient	efficient	ADJ
iajs-1817	28	5	points	point	NOUN
iajs-1817	28	6	is	be	AUX
iajs-1817	28	7	characterized	characterize	VERB
iajs-1817	28	8	and	and	CCONJ
iajs-1817	28	9	a	a	DET
iajs-1817	28	10	pseudo	pseudo	NOUN
iajs-1817	28	11	-	-	ADJ
iajs-1817	28	12	polynomial	polynomial	ADJ
iajs-1817	28	13	algorithm	algorithm	NOUN
iajs-1817	28	14	to	to	PART
iajs-1817	28	15	enumerate	enumerate	VERB
iajs-1817	28	16	all	all	DET
iajs-1817	28	17	these	these	DET
iajs-1817	28	18	points	point	NOUN
iajs-1817	28	19	is	be	AUX
iajs-1817	28	20	given	give	VERB
iajs-1817	28	21	.	.	PUNCT
iajs-1817	29	1	hoogveen	hoogveen	PROPN
iajs-1817	29	2	and	and	CCONJ
iajs-1817	29	3	van	van	PROPN
iajs-1817	29	4	de	de	PROPN
iajs-1817	29	5	velde	velde	PROPN
iajs-1817	29	6	(	(	PUNCT
iajs-1817	29	7	1995)[8	1995)[8	NUM
iajs-1817	29	8	]	]	PUNCT
iajs-1817	29	9	provided	provide	VERB
iajs-1817	29	10	an	an	DET
iajs-1817	29	11	algorithm	algorithm	NOUN
iajs-1817	29	12	for	for	ADP
iajs-1817	29	13	finding	find	VERB
iajs-1817	29	14	all	all	DET
iajs-1817	29	15	efficient	efficient	ADJ
iajs-1817	29	16	schedules	schedule	NOUN
iajs-1817	29	17	for	for	ADP
iajs-1817	29	18	the	the	DET
iajs-1817	29	19	problem	problem	NOUN
iajs-1817	29	20	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	29	21	,	,	PUNCT
iajs-1817	29	22	𝑓	𝑓	X
iajs-1817	29	23	)	)	PUNCT
iajs-1817	29	24	.	.	PUNCT
iajs-1817	30	1	tadie	tadie	PROPN
iajs-1817	30	2	et	et	PROPN
iajs-1817	30	3	al	al	PROPN
iajs-1817	30	4	.	.	PROPN
iajs-1817	31	1	(	(	PUNCT
iajs-1817	31	2	2002	2002	NUM
iajs-1817	31	3	)	)	PUNCT
iajs-1817	32	1	[	[	X
iajs-1817	32	2	15	15	NUM
iajs-1817	32	3	]	]	PUNCT
iajs-1817	32	4	proposed	propose	VERB
iajs-1817	32	5	a	a	DET
iajs-1817	32	6	procedure	procedure	NOUN
iajs-1817	32	7	that	that	PRON
iajs-1817	32	8	takes	take	VERB
iajs-1817	32	9	advantage	advantage	NOUN
iajs-1817	32	10	of	of	ADP
iajs-1817	32	11	an	an	DET
iajs-1817	32	12	algorithm	algorithm	NOUN
iajs-1817	32	13	for	for	ADP
iajs-1817	32	14	finding	find	VERB
iajs-1817	32	15	the	the	DET
iajs-1817	32	16	pareto	pareto	ADJ
iajs-1817	32	17	optima	optima	NOUN
iajs-1817	32	18	set	set	VERB
iajs-1817	32	19	by	by	ADP
iajs-1817	32	20	applying	apply	VERB
iajs-1817	32	21	specially	specially	ADV
iajs-1817	32	22	developed	develop	VERB
iajs-1817	32	23	constraints	constraint	NOUN
iajs-1817	32	24	to	to	ADP
iajs-1817	32	25	a	a	DET
iajs-1817	32	26	branch	branch	NOUN
iajs-1817	32	27	and	and	CCONJ
iajs-1817	32	28	bound	bind	VERB
iajs-1817	32	29	(	(	PUNCT
iajs-1817	32	30	bab	bab	PROPN
iajs-1817	32	31	)	)	PUNCT
iajs-1817	32	32	algorithm	algorithm	NOUN
iajs-1817	32	33	for	for	ADP
iajs-1817	32	34	the	the	DET
iajs-1817	32	35	1//(σ𝑇	1//(σ𝑇	NOUN
iajs-1817	32	36	,	,	PUNCT
iajs-1817	32	37	𝑇	𝑇	PROPN
iajs-1817	32	38	)	)	PUNCT
iajs-1817	32	39	problem	problem	NOUN
iajs-1817	32	40	to	to	PART
iajs-1817	32	41	find	find	VERB
iajs-1817	32	42	the	the	DET
iajs-1817	32	43	set	set	NOUN
iajs-1817	32	44	of	of	ADP
iajs-1817	32	45	efficient	efficient	ADJ
iajs-1817	32	46	point	point	NOUN
iajs-1817	32	47	.	.	PUNCT
iajs-1817	33	1	for	for	ADP
iajs-1817	33	2	the	the	DET
iajs-1817	33	3	1//(σ𝐶	1//(σ𝐶	NOUN
iajs-1817	33	4	,	,	PUNCT
iajs-1817	33	5	𝐸	𝐸	ADJ
iajs-1817	33	6	)	)	PUNCT
iajs-1817	33	7	problem	problem	NOUN
iajs-1817	33	8	,	,	PUNCT
iajs-1817	33	9	kurz	kurz	NOUN
iajs-1817	33	10	and	and	CCONJ
iajs-1817	33	11	canterbury	canterbury	PROPN
iajs-1817	33	12	(	(	PUNCT
iajs-1817	33	13	2005	2005	NUM
iajs-1817	33	14	)	)	PUNCT
iajs-1817	34	1	[	[	X
iajs-1817	34	2	10	10	NUM
iajs-1817	34	3	]	]	PUNCT
iajs-1817	34	4	used	use	VERB
iajs-1817	34	5	genetic	genetic	ADJ
iajs-1817	34	6	algorithm	algorithm	NOUN
iajs-1817	34	7	,	,	PUNCT
iajs-1817	34	8	al	al	PROPN
iajs-1817	34	9	-	-	PUNCT
iajs-1817	34	10	assaf	assaf	PROPN
iajs-1817	34	11	(	(	PUNCT
iajs-1817	34	12	2007)[5	2007)[5	PROPN
iajs-1817	34	13	]	]	PUNCT
iajs-1817	34	14	proposed	propose	VERB
iajs-1817	34	15	bab	bab	PROPN
iajs-1817	34	16	algorithm	algorithm	PROPN
iajs-1817	34	17	to	to	PART
iajs-1817	34	18	find	find	VERB
iajs-1817	34	19	the	the	DET
iajs-1817	34	20	optimal	optimal	ADJ
iajs-1817	34	21	solution	solution	NOUN
iajs-1817	34	22	for	for	ADP
iajs-1817	34	23	1//∑𝐶	1//∑𝐶	PROPN
iajs-1817	34	24	𝐸	𝐸	PROPN
iajs-1817	34	25	problem	problem	NOUN
iajs-1817	34	26	and	and	CCONJ
iajs-1817	34	27	proposed	propose	VERB
iajs-1817	34	28	an	an	DET
iajs-1817	34	29	algorithm	algorithm	NOUN
iajs-1817	34	30	with	with	ADP
iajs-1817	34	31	a	a	DET
iajs-1817	34	32	special	special	ADJ
iajs-1817	34	33	range	range	NOUN
iajs-1817	34	34	for	for	ADP
iajs-1817	34	35	the	the	DET
iajs-1817	34	36	problem	problem	NOUN
iajs-1817	34	37	1//(σ𝐶	1//(σ𝐶	NOUN
iajs-1817	34	38	,	,	PUNCT
iajs-1817	34	39	𝐸	𝐸	PROPN
iajs-1817	34	40	)	)	PUNCT
iajs-1817	34	41	to	to	PART
iajs-1817	34	42	find	find	VERB
iajs-1817	34	43	the	the	DET
iajs-1817	34	44	set	set	NOUN
iajs-1817	34	45	of	of	ADP
iajs-1817	34	46	efficient	efficient	ADJ
iajs-1817	34	47	solutions	solution	NOUN
iajs-1817	34	48	.	.	PUNCT
iajs-1817	35	1	the	the	DET
iajs-1817	35	2	single	single	ADJ
iajs-1817	35	3	machine	machine	NOUN
iajs-1817	35	4	1//∑𝐶	1//∑𝐶	PROPN
iajs-1817	35	5	∑𝑇	∑𝑇	PROPN
iajs-1817	35	6	𝑇	𝑇	PROPN
iajs-1817	35	7	problem	problem	NOUN
iajs-1817	35	8	is	be	AUX
iajs-1817	35	9	np	np	INTJ
iajs-1817	35	10	-	-	PUNCT
iajs-1817	35	11	hard	hard	ADJ
iajs-1817	35	12	,	,	PUNCT
iajs-1817	35	13	the	the	DET
iajs-1817	35	14	(	(	PUNCT
iajs-1817	35	15	bab	bab	PROPN
iajs-1817	35	16	)	)	PUNCT
iajs-1817	35	17	algorithm	algorithm	NOUN
iajs-1817	35	18	is	be	AUX
iajs-1817	35	19	used	use	VERB
iajs-1817	35	20	to	to	PART
iajs-1817	35	21	find	find	VERB
iajs-1817	35	22	optimal	optimal	ADJ
iajs-1817	35	23	solution	solution	NOUN
iajs-1817	35	24	(	(	PUNCT
iajs-1817	35	25	2015)[1	2015)[1	PROPN
iajs-1817	35	26	]	]	PUNCT
iajs-1817	35	27	.	.	PUNCT
iajs-1817	36	1	for	for	ADP
iajs-1817	36	2	1//∑𝐶	1//∑𝐶	PROPN
iajs-1817	36	3	∑𝐸	∑𝐸	PROPN
iajs-1817	36	4	𝐸	𝐸	PROPN
iajs-1817	36	5	problem	problem	NOUN
iajs-1817	36	6	is	be	AUX
iajs-1817	36	7	np	np	NOUN
iajs-1817	36	8	-	-	PUNCT
iajs-1817	36	9	hard	hard	ADJ
iajs-1817	36	10	,	,	PUNCT
iajs-1817	36	11	local	local	ADJ
iajs-1817	36	12	search	search	NOUN
iajs-1817	36	13	algorithms	algorithm	NOUN
iajs-1817	36	14	are	be	AUX
iajs-1817	36	15	used	use	VERB
iajs-1817	36	16	to	to	PART
iajs-1817	36	17	find	find	VERB
iajs-1817	36	18	near	near	ADP
iajs-1817	36	19	optimal	optimal	ADJ
iajs-1817	36	20	solution	solution	NOUN
iajs-1817	36	21	and	and	CCONJ
iajs-1817	36	22	compared	compare	VERB
iajs-1817	36	23	their	their	PRON
iajs-1817	36	24	results	result	NOUN
iajs-1817	36	25	with	with	ADP
iajs-1817	36	26	cem	cem	NOUN
iajs-1817	36	27	for	for	ADP
iajs-1817	36	28	small	small	ADJ
iajs-1817	36	29	n	n	CCONJ
iajs-1817	36	30	(	(	PUNCT
iajs-1817	36	31	2016	2016	NUM
iajs-1817	36	32	)	)	PUNCT
iajs-1817	37	1	[	[	X
iajs-1817	37	2	2	2	NUM
iajs-1817	37	3	]	]	PUNCT
iajs-1817	37	4	.	.	PUNCT
iajs-1817	38	1	there	there	PRON
iajs-1817	38	2	are	be	VERB
iajs-1817	38	3	mainly	mainly	ADV
iajs-1817	38	4	three	three	NUM
iajs-1817	38	5	classes	class	NOUN
iajs-1817	38	6	of	of	ADP
iajs-1817	38	7	approaches	approach	NOUN
iajs-1817	38	8	that	that	PRON
iajs-1817	38	9	are	be	AUX
iajs-1817	38	10	applicable	applicable	ADJ
iajs-1817	38	11	to	to	ADP
iajs-1817	38	12	multicriteria	multicriteria	PROPN
iajs-1817	38	13	scheduling	scheduling	NOUN
iajs-1817	38	14	problem	problem	NOUN
iajs-1817	38	15	.	.	PUNCT
iajs-1817	39	1	𝐂𝟏	𝐂𝟏	NOUN
iajs-1817	39	2	:	:	PUNCT
iajs-1817	39	3	hierarchical	hierarchical	ADJ
iajs-1817	39	4	(	(	PUNCT
iajs-1817	39	5	lexographical	lexographical	ADJ
iajs-1817	39	6	)	)	PUNCT
iajs-1817	39	7	optimization	optimization	NOUN
iajs-1817	39	8	the	the	DET
iajs-1817	39	9	hierarchical	hierarchical	ADJ
iajs-1817	39	10	approach	approach	NOUN
iajs-1817	39	11	,	,	PUNCT
iajs-1817	39	12	one	one	NUM
iajs-1817	39	13	of	of	ADP
iajs-1817	39	14	the	the	DET
iajs-1817	39	15	criteria	criterion	NOUN
iajs-1817	39	16	(	(	PUNCT
iajs-1817	39	17	more	more	ADV
iajs-1817	39	18	important	important	ADJ
iajs-1817	39	19	)	)	PUNCT
iajs-1817	39	20	regards	regard	VERB
iajs-1817	39	21	as	as	ADP
iajs-1817	39	22	constraint	constraint	NOUN
iajs-1817	39	23	(	(	PUNCT
iajs-1817	39	24	primary	primary	ADJ
iajs-1817	39	25	)	)	PUNCT
iajs-1817	39	26	criterion	criterion	NOUN
iajs-1817	39	27	which	which	PRON
iajs-1817	39	28	must	must	AUX
iajs-1817	39	29	be	be	AUX
iajs-1817	39	30	satisfied	satisfied	ADJ
iajs-1817	39	31	,	,	PUNCT
iajs-1817	39	32	(	(	PUNCT
iajs-1817	39	33	see	see	VERB
iajs-1817	39	34	[	[	X
iajs-1817	39	35	7	7	X
iajs-1817	39	36	]	]	PUNCT
iajs-1817	39	37	and	and	CCONJ
iajs-1817	39	38	[	[	X
iajs-1817	39	39	14	14	NUM
iajs-1817	39	40	]	]	NUM
iajs-1817	39	41	)	)	PUNCT
iajs-1817	39	42	.	.	PUNCT
iajs-1817	40	1	ihsciconf	ihsciconf	PROPN
iajs-1817	40	2	2017	2017	NUM
iajs-1817	40	3	special	special	ADJ
iajs-1817	40	4	issue	issue	NOUN
iajs-1817	40	5	ibn	ibn	PROPN
iajs-1817	40	6	al	al	PROPN
iajs-1817	40	7	-	-	PUNCT
iajs-1817	40	8	haitham	haitham	PROPN
iajs-1817	40	9	journal	journal	PROPN
iajs-1817	40	10	for	for	ADP
iajs-1817	40	11	pure	pure	ADJ
iajs-1817	40	12	and	and	CCONJ
iajs-1817	40	13	applied	apply	VERB
iajs-1817	40	14	science	science	NOUN
iajs-1817	40	15	https://doi.org/	https://doi.org/	NOUN
iajs-1817	40	16	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	40	17	for	for	ADP
iajs-1817	40	18	more	more	ADJ
iajs-1817	40	19	information	information	NOUN
iajs-1817	40	20	about	about	ADP
iajs-1817	40	21	the	the	DET
iajs-1817	40	22	conference	conference	NOUN
iajs-1817	40	23	please	please	INTJ
iajs-1817	40	24	visit	visit	VERB
iajs-1817	40	25	the	the	DET
iajs-1817	40	26	websites	website	NOUN
iajs-1817	40	27	:	:	PUNCT
iajs-1817	40	28	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	40	29	   	   	SPACE
iajs-1817	40	30	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1817	40	31	   	   	SPACE
iajs-1817	40	32	mathematics|438	mathematics|438	PROPN
iajs-1817	40	33	    	    	SPACE
iajs-1817	40	34	𝐂𝟐	𝐂𝟐	NOUN
iajs-1817	40	35	:	:	PUNCT
iajs-1817	40	36	priority	priority	NOUN
iajs-1817	40	37	optimization	optimization	NOUN
iajs-1817	40	38	in	in	ADP
iajs-1817	40	39	this	this	DET
iajs-1817	40	40	approach	approach	NOUN
iajs-1817	40	41	minimizing	minimize	VERB
iajs-1817	40	42	a	a	DET
iajs-1817	40	43	weighted	weighted	ADJ
iajs-1817	40	44	sum	sum	NOUN
iajs-1817	40	45	of	of	ADP
iajs-1817	40	46	the	the	DET
iajs-1817	40	47	multicriteria	multicriteria	PROPN
iajs-1817	40	48	(	(	PUNCT
iajs-1817	40	49	objectives	objective	NOUN
iajs-1817	40	50	)	)	PUNCT
iajs-1817	40	51	and	and	CCONJ
iajs-1817	40	52	convert	convert	VERB
iajs-1817	40	53	the	the	DET
iajs-1817	40	54	multicriteria	multicriteria	NOUN
iajs-1817	40	55	to	to	ADP
iajs-1817	40	56	a	a	DET
iajs-1817	40	57	single	single	ADJ
iajs-1817	40	58	criterion	criterion	NOUN
iajs-1817	40	59	problem	problem	NOUN
iajs-1817	40	60	,	,	PUNCT
iajs-1817	40	61	several	several	ADJ
iajs-1817	40	62	multicriteria	multicriteria	NOUN
iajs-1817	40	63	scheduling	scheduling	NOUN
iajs-1817	40	64	problems	problem	NOUN
iajs-1817	40	65	studied	study	VERB
iajs-1817	40	66	in	in	ADP
iajs-1817	40	67	this	this	DET
iajs-1817	40	68	class	class	NOUN
iajs-1817	40	69	(	(	PUNCT
iajs-1817	40	70	see	see	VERB
iajs-1817	40	71	[	[	X
iajs-1817	40	72	8]and	8]and	NOUN
iajs-1817	40	73	[	[	X
iajs-1817	40	74	12	12	NUM
iajs-1817	40	75	]	]	NUM
iajs-1817	40	76	)	)	PUNCT
iajs-1817	40	77	.	.	PUNCT
iajs-1817	41	1	𝐂𝟑	𝐂𝟑	NOUN
iajs-1817	41	2	:	:	PUNCT
iajs-1817	41	3	interactive	interactive	ADJ
iajs-1817	41	4	optimization	optimization	NOUN
iajs-1817	41	5	in	in	ADP
iajs-1817	41	6	this	this	DET
iajs-1817	41	7	approach	approach	NOUN
iajs-1817	41	8	one	one	NOUN
iajs-1817	41	9	generates	generate	VERB
iajs-1817	41	10	all	all	PRON
iajs-1817	41	11	efficient	efficient	ADJ
iajs-1817	41	12	(	(	PUNCT
iajs-1817	41	13	pareto	pareto	ADJ
iajs-1817	41	14	optimal	optimal	ADJ
iajs-1817	41	15	)	)	PUNCT
iajs-1817	41	16	schedules	schedule	NOUN
iajs-1817	41	17	and	and	CCONJ
iajs-1817	41	18	select	select	VERB
iajs-1817	41	19	the	the	DET
iajs-1817	41	20	one	one	NOUN
iajs-1817	41	21	that	that	PRON
iajs-1817	41	22	yield	yield	VERB
iajs-1817	41	23	the	the	DET
iajs-1817	41	24	best	good	ADJ
iajs-1817	41	25	composite	composite	ADJ
iajs-1817	41	26	objective	objective	ADJ
iajs-1817	41	27	function	function	NOUN
iajs-1817	41	28	value	value	NOUN
iajs-1817	41	29	of	of	ADP
iajs-1817	41	30	the	the	DET
iajs-1817	41	31	multicriteria	multicriteria	NOUN
iajs-1817	41	32	.	.	PUNCT
iajs-1817	42	1	several	several	ADJ
iajs-1817	42	2	multicriteria	multicriteria	NOUN
iajs-1817	42	3	scheduling	scheduling	NOUN
iajs-1817	42	4	problems	problem	NOUN
iajs-1817	42	5	studied	study	VERB
iajs-1817	42	6	in	in	ADP
iajs-1817	42	7	this	this	DET
iajs-1817	42	8	class	class	NOUN
iajs-1817	42	9	(	(	PUNCT
iajs-1817	42	10	see	see	VERB
iajs-1817	42	11	[	[	X
iajs-1817	42	12	8	8	NUM
iajs-1817	42	13	]	]	PUNCT
iajs-1817	42	14	and	and	CCONJ
iajs-1817	42	15	[	[	X
iajs-1817	42	16	16	16	NUM
iajs-1817	42	17	]	]	PUNCT
iajs-1817	42	18	)	)	PUNCT
iajs-1817	42	19	.	.	PUNCT
iajs-1817	43	1	2	2	X
iajs-1817	43	2	.	.	X
iajs-1817	43	3	problem	problem	NOUN
iajs-1817	43	4	formulation	formulation	NOUN
iajs-1817	43	5	and	and	CCONJ
iajs-1817	43	6	analysis	analysis	NOUN
iajs-1817	43	7	we	we	PRON
iajs-1817	43	8	consider	consider	VERB
iajs-1817	43	9	the	the	DET
iajs-1817	43	10	following	follow	VERB
iajs-1817	43	11	performance	performance	NOUN
iajs-1817	43	12	criteria	criterion	NOUN
iajs-1817	43	13	:	:	PUNCT
iajs-1817	43	14	∑	∑	PUNCT
iajs-1817	43	15	𝐶∈	𝐶∈	ADP
iajs-1817	43	16	,	,	PUNCT
iajs-1817	43	17	∑	∑	ADV
iajs-1817	43	18	𝑇∈	𝑇∈	NOUN
iajs-1817	43	19	,	,	PUNCT
iajs-1817	43	20	∑	∑	ADP
iajs-1817	43	21	𝐸∈	𝐸∈	ADJ
iajs-1817	43	22	,	,	PUNCT
iajs-1817	43	23	𝑇	𝑇	PROPN
iajs-1817	43	24	and	and	CCONJ
iajs-1817	43	25	e	e	NOUN
iajs-1817	43	26	hence	hence	ADV
iajs-1817	43	27	the	the	DET
iajs-1817	43	28	problem	problem	NOUN
iajs-1817	43	29	is	be	AUX
iajs-1817	43	30	denoted	denote	VERB
iajs-1817	43	31	by	by	ADP
iajs-1817	43	32	1//f	1//f	NUM
iajs-1817	43	33	(	(	PUNCT
iajs-1817	43	34	∑𝐶	∑𝐶	PROPN
iajs-1817	43	35	,	,	PUNCT
iajs-1817	43	36	∑𝑇	∑𝑇	PROPN
iajs-1817	43	37	,	,	PUNCT
iajs-1817	43	38	∑𝐸	∑𝐸	PROPN
iajs-1817	43	39	,	,	PUNCT
iajs-1817	43	40	𝑇	𝑇	PROPN
iajs-1817	43	41	,	,	PUNCT
iajs-1817	43	42	𝐸	𝐸	PROPN
iajs-1817	43	43	)	)	PUNCT
iajs-1817	43	44	(	(	PUNCT
iajs-1817	43	45	p	p	NOUN
iajs-1817	43	46	)	)	PUNCT
iajs-1817	43	47	.	.	PUNCT
iajs-1817	44	1	we	we	PRON
iajs-1817	44	2	consider	consider	VERB
iajs-1817	44	3	multicriteria	multicriteria	PROPN
iajs-1817	44	4	problem	problem	NOUN
iajs-1817	44	5	of	of	ADP
iajs-1817	44	6	scheduling	scheduling	NOUN
iajs-1817	44	7	n	n	CCONJ
iajs-1817	44	8	jobs	job	NOUN
iajs-1817	44	9	on	on	ADP
iajs-1817	44	10	a	a	DET
iajs-1817	44	11	single	single	ADJ
iajs-1817	44	12	machine	machine	NOUN
iajs-1817	44	13	.	.	PUNCT
iajs-1817	45	1	all	all	DET
iajs-1817	45	2	jobs	job	NOUN
iajs-1817	45	3	are	be	AUX
iajs-1817	45	4	available	available	ADJ
iajs-1817	45	5	at	at	ADP
iajs-1817	45	6	time	time	NOUN
iajs-1817	45	7	zero	zero	NUM
iajs-1817	45	8	and	and	CCONJ
iajs-1817	45	9	characterized	characterize	VERB
iajs-1817	45	10	by	by	ADP
iajs-1817	45	11	their	their	PRON
iajs-1817	45	12	processing	processing	NOUN
iajs-1817	45	13	time	time	NOUN
iajs-1817	45	14	p	p	NOUN
iajs-1817	45	15	and	and	CCONJ
iajs-1817	45	16	due	due	ADJ
iajs-1817	45	17	date	date	NOUN
iajs-1817	45	18	𝑑	𝑑	NOUN
iajs-1817	45	19	.	.	PUNCT
iajs-1817	46	1	in	in	ADP
iajs-1817	46	2	this	this	DET
iajs-1817	46	3	problem	problem	NOUN
iajs-1817	46	4	,	,	PUNCT
iajs-1817	46	5	the	the	DET
iajs-1817	46	6	total	total	ADJ
iajs-1817	46	7	completion	completion	NOUN
iajs-1817	46	8	times	time	NOUN
iajs-1817	46	9	(	(	PUNCT
iajs-1817	46	10	total	total	ADJ
iajs-1817	46	11	flow	flow	NOUN
iajs-1817	46	12	times	time	NOUN
iajs-1817	46	13	)	)	PUNCT
iajs-1817	46	14	,	,	PUNCT
iajs-1817	46	15	the	the	DET
iajs-1817	46	16	total	total	ADJ
iajs-1817	46	17	tardiness	tardiness	NOUN
iajs-1817	46	18	,	,	PUNCT
iajs-1817	46	19	the	the	DET
iajs-1817	46	20	total	total	ADJ
iajs-1817	46	21	earliness	earliness	NOUN
iajs-1817	46	22	,	,	PUNCT
iajs-1817	46	23	maximum	maximum	ADJ
iajs-1817	46	24	tardiness	tardiness	NOUN
iajs-1817	46	25	and	and	CCONJ
iajs-1817	46	26	maximum	maximum	ADJ
iajs-1817	46	27	earliness	earliness	NOUN
iajs-1817	46	28	are	be	AUX
iajs-1817	46	29	used	use	VERB
iajs-1817	46	30	as	as	ADP
iajs-1817	46	31	multicriteria	multicriteria	NOUN
iajs-1817	46	32	.	.	PUNCT
iajs-1817	47	1	the	the	DET
iajs-1817	47	2	first	first	ADJ
iajs-1817	47	3	object	object	NOUN
iajs-1817	47	4	is	be	AUX
iajs-1817	47	5	to	to	PART
iajs-1817	47	6	minimize	minimize	VERB
iajs-1817	47	7	flow	flow	NOUN
iajs-1817	47	8	time	time	NOUN
iajs-1817	47	9	(	(	PUNCT
iajs-1817	47	10	a	a	DET
iajs-1817	47	11	measure	measure	NOUN
iajs-1817	47	12	for	for	ADP
iajs-1817	47	13	average	average	ADJ
iajs-1817	47	14	in	in	ADP
iajs-1817	47	15	processing	process	VERB
iajs-1817	47	16	inventory	inventory	NOUN
iajs-1817	47	17	)	)	PUNCT
iajs-1817	47	18	.	.	PUNCT
iajs-1817	48	1	the	the	DET
iajs-1817	48	2	other	other	ADJ
iajs-1817	48	3	objectives	objective	NOUN
iajs-1817	48	4	deal	deal	VERB
iajs-1817	48	5	with	with	ADP
iajs-1817	48	6	service	service	NOUN
iajs-1817	48	7	to	to	ADP
iajs-1817	48	8	customers	customer	NOUN
iajs-1817	48	9	.	.	PUNCT
iajs-1817	49	1	these	these	DET
iajs-1817	49	2	objective	objective	ADJ
iajs-1817	49	3	functions	function	NOUN
iajs-1817	49	4	force	force	NOUN
iajs-1817	49	5	jobs	job	NOUN
iajs-1817	49	6	not	not	PART
iajs-1817	49	7	be	be	AUX
iajs-1817	49	8	early	early	ADJ
iajs-1817	49	9	and/or	and/or	CCONJ
iajs-1817	49	10	tardy	tardy	ADJ
iajs-1817	49	11	.	.	PUNCT
iajs-1817	50	1	for	for	ADP
iajs-1817	50	2	this	this	DET
iajs-1817	50	3	problem	problem	NOUN
iajs-1817	50	4	,	,	PUNCT
iajs-1817	50	5	we	we	PRON
iajs-1817	50	6	will	will	AUX
iajs-1817	50	7	try	try	VERB
iajs-1817	50	8	to	to	PART
iajs-1817	50	9	find	find	VERB
iajs-1817	50	10	efficient	efficient	ADJ
iajs-1817	50	11	solutions	solution	NOUN
iajs-1817	50	12	for	for	ADP
iajs-1817	50	13	the	the	DET
iajs-1817	50	14	1//f	1//f	PROPN
iajs-1817	50	15	(	(	PUNCT
iajs-1817	50	16	∑𝐶	∑𝐶	PROPN
iajs-1817	50	17	,	,	PUNCT
iajs-1817	50	18	∑𝑇	∑𝑇	PROPN
iajs-1817	50	19	,	,	PUNCT
iajs-1817	50	20	∑𝐸	∑𝐸	PROPN
iajs-1817	50	21	,	,	PUNCT
iajs-1817	50	22	𝑇	𝑇	PROPN
iajs-1817	50	23	,	,	PUNCT
iajs-1817	50	24	𝐸	𝐸	PROPN
iajs-1817	50	25	problem	problem	NOUN
iajs-1817	50	26	(	(	PUNCT
iajs-1817	50	27	p	p	NOUN
iajs-1817	50	28	)	)	PUNCT
iajs-1817	50	29	,	,	PUNCT
iajs-1817	50	30	which	which	PRON
iajs-1817	50	31	can	can	AUX
iajs-1817	50	32	be	be	AUX
iajs-1817	50	33	written	write	VERB
iajs-1817	50	34	for	for	ADP
iajs-1817	50	35	a	a	DET
iajs-1817	50	36	given	give	VERB
iajs-1817	50	37	schedule	schedule	NOUN
iajs-1817	50	38	s=	s=	NOUN
iajs-1817	50	39	(	(	PUNCT
iajs-1817	50	40	1,	1,	NUM
iajs-1817	50	41	…	…	SYM
iajs-1817	50	42	,n	,n	NOUN
iajs-1817	50	43	)	)	PUNCT
iajs-1817	50	44	as	as	ADP
iajs-1817	50	45	:	:	PUNCT
iajs-1817	50	46	∈𝑺	∈𝑺	NOUN
iajs-1817	50	47	⎩	⎩	NUM
iajs-1817	50	48	⎪	⎪	NOUN
iajs-1817	50	49	⎨	⎨	ADJ
iajs-1817	50	50	⎪	⎪	NOUN
iajs-1817	50	51	⎧	⎧	PROPN
iajs-1817	50	52	∑𝐶	∑𝐶	PROPN
iajs-1817	50	53	𝑠	𝑠	PROPN
iajs-1817	50	54	∑𝑇	∑𝑇	PROPN
iajs-1817	50	55	𝑠	𝑠	PROPN
iajs-1817	50	56	∑𝐸	∑𝐸	PROPN
iajs-1817	50	57	𝑠	𝑠	PROPN
iajs-1817	50	58	𝑇	𝑇	PROPN
iajs-1817	50	59	𝑠	𝑠	PROPN
iajs-1817	50	60	𝐸	𝐸	PRON
iajs-1817	50	61	𝑠	𝑠	PROPN
iajs-1817	50	62	𝑠.	𝑠.	X
iajs-1817	50	63	𝑡	𝑡	X
iajs-1817	50	64	𝐶	𝐶	PROPN
iajs-1817	50	65	𝑃	𝑃	PROPN
iajs-1817	50	66	𝑖	𝑖	PRON
iajs-1817	50	67	1	1	NUM
iajs-1817	50	68	,	,	PUNCT
iajs-1817	50	69	…	…	PUNCT
iajs-1817	50	70	,	,	PUNCT
iajs-1817	50	71	𝑛	𝑛	DET
iajs-1817	50	72	𝐶	𝐶	PROPN
iajs-1817	50	73	𝐶	𝐶	PROPN
iajs-1817	50	74	𝑃	𝑃	VERB
iajs-1817	50	75	𝑖	𝑖	PRON
iajs-1817	50	76	2	2	NUM
iajs-1817	50	77	,	,	PUNCT
iajs-1817	50	78	…	…	PUNCT
iajs-1817	50	79	,	,	PUNCT
iajs-1817	50	80	𝑛	𝑛	DET
iajs-1817	50	81	𝑇	𝑇	PROPN
iajs-1817	50	82	𝐶	𝐶	PROPN
iajs-1817	50	83	𝑑	𝑑	PROPN
iajs-1817	50	84	𝑖	𝑖	PROPN
iajs-1817	50	85	1	1	NUM
iajs-1817	50	86	,	,	PUNCT
iajs-1817	50	87	…	…	PUNCT
iajs-1817	50	88	,	,	PUNCT
iajs-1817	50	89	𝑛	𝑛	DET
iajs-1817	50	90	𝑇	𝑇	PROPN
iajs-1817	50	91	0	0	NUM
iajs-1817	50	92	𝑖	𝑖	SYM
iajs-1817	50	93	1	1	NUM
iajs-1817	50	94	,	,	PUNCT
iajs-1817	50	95	…	…	PUNCT
iajs-1817	50	96	,	,	PUNCT
iajs-1817	50	97	𝑛	𝑛	DET
iajs-1817	50	98	𝐸	𝐸	PROPN
iajs-1817	50	99	𝑑	𝑑	PROPN
iajs-1817	50	100	𝐶	𝐶	PROPN
iajs-1817	50	101	𝑖	𝑖	PROPN
iajs-1817	50	102	1	1	NUM
iajs-1817	50	103	,	,	PUNCT
iajs-1817	50	104	…	…	PUNCT
iajs-1817	50	105	,	,	PUNCT
iajs-1817	50	106	𝑛	𝑛	PROPN
iajs-1817	50	107	𝐸	𝐸	PROPN
iajs-1817	50	108	0	0	NUM
iajs-1817	50	109	𝑖	𝑖	SYM
iajs-1817	50	110	1	1	NUM
iajs-1817	50	111	,	,	PUNCT
iajs-1817	50	112	…	…	PUNCT
iajs-1817	50	113	,	,	PUNCT
iajs-1817	50	114	𝑛	𝑛	DET
iajs-1817	50	115	⎭	⎭	PROPN
iajs-1817	50	116	⎪	⎪	NOUN
iajs-1817	50	117	⎪	⎪	NOUN
iajs-1817	50	118	⎪	⎪	NOUN
iajs-1817	50	119	⎪	⎪	NOUN
iajs-1817	50	120	⎪	⎪	NOUN
iajs-1817	50	121	⎬	⎬	PROPN
iajs-1817	50	122	⎪	⎪	NOUN
iajs-1817	50	123	⎪	⎪	NOUN
iajs-1817	50	124	⎪	⎪	NOUN
iajs-1817	50	125	⎪	⎪	NOUN
iajs-1817	50	126	⎪	⎪	NOUN
iajs-1817	50	127	⎫	⎫	PROPN
iajs-1817	50	128	…	…	PUNCT
iajs-1817	50	129	(	(	PUNCT
iajs-1817	50	130	p	p	NOUN
iajs-1817	50	131	)	)	PUNCT
iajs-1817	50	132	where	where	SCONJ
iajs-1817	50	133	s	s	NOUN
iajs-1817	50	134	is	be	AUX
iajs-1817	50	135	the	the	DET
iajs-1817	50	136	set	set	NOUN
iajs-1817	50	137	of	of	ADP
iajs-1817	50	138	all	all	DET
iajs-1817	50	139	schedules	schedule	NOUN
iajs-1817	50	140	.	.	PUNCT
iajs-1817	51	1	this	this	DET
iajs-1817	51	2	problem	problem	NOUN
iajs-1817	51	3	(	(	PUNCT
iajs-1817	51	4	p	p	X
iajs-1817	51	5	)	)	PUNCT
iajs-1817	51	6	is	be	AUX
iajs-1817	51	7	difficult	difficult	ADJ
iajs-1817	51	8	to	to	PART
iajs-1817	51	9	solve	solve	VERB
iajs-1817	51	10	and	and	CCONJ
iajs-1817	51	11	find	find	VERB
iajs-1817	51	12	the	the	DET
iajs-1817	51	13	set	set	NOUN
iajs-1817	51	14	of	of	ADP
iajs-1817	51	15	all	all	DET
iajs-1817	51	16	efficient	efficient	ADJ
iajs-1817	51	17	solutions	solution	NOUN
iajs-1817	51	18	(	(	PUNCT
iajs-1817	51	19	se	se	ADJ
iajs-1817	51	20	)	)	PUNCT
iajs-1817	51	21	.	.	PUNCT
iajs-1817	52	1	this	this	DET
iajs-1817	52	2	problem	problem	NOUN
iajs-1817	52	3	of	of	ADP
iajs-1817	52	4	five	five	NUM
iajs-1817	52	5	objects	object	NOUN
iajs-1817	52	6	has	have	AUX
iajs-1817	52	7	not	not	PART
iajs-1817	52	8	been	be	AUX
iajs-1817	52	9	considered	consider	VERB
iajs-1817	52	10	by	by	ADP
iajs-1817	52	11	any	any	DET
iajs-1817	52	12	researcher	researcher	NOUN
iajs-1817	52	13	yet	yet	ADV
iajs-1817	52	14	.	.	PUNCT
iajs-1817	53	1	we	we	PRON
iajs-1817	53	2	propose	propose	VERB
iajs-1817	53	3	efficient	efficient	ADJ
iajs-1817	53	4	algorithm	algorithm	NOUN
iajs-1817	53	5	to	to	PART
iajs-1817	53	6	find	find	VERB
iajs-1817	53	7	approximate	approximate	ADJ
iajs-1817	53	8	set	set	NOUN
iajs-1817	53	9	of	of	ADP
iajs-1817	53	10	efficient	efficient	ADJ
iajs-1817	53	11	solutions	solution	NOUN
iajs-1817	53	12	(	(	PUNCT
iajs-1817	53	13	sa	sa	NOUN
iajs-1817	53	14	)	)	PUNCT
iajs-1817	53	15	for	for	ADP
iajs-1817	53	16	this	this	DET
iajs-1817	53	17	problem	problem	NOUN
iajs-1817	53	18	.	.	PUNCT
iajs-1817	54	1	1some	1some	NUM
iajs-1817	54	2	results	result	NOUN
iajs-1817	54	3	for	for	ADP
iajs-1817	54	4	the	the	DET
iajs-1817	54	5	1//f	1//f	NUM
iajs-1817	54	6	(	(	PUNCT
iajs-1817	54	7	∑𝐶	∑𝐶	PROPN
iajs-1817	54	8	,	,	PUNCT
iajs-1817	54	9	∑𝑇	∑𝑇	PROPN
iajs-1817	54	10	,	,	PUNCT
iajs-1817	54	11	∑𝐸	∑𝐸	PROPN
iajs-1817	54	12	,	,	PUNCT
iajs-1817	54	13	𝑇	𝑇	PROPN
iajs-1817	54	14	,	,	PUNCT
iajs-1817	54	15	𝐸	𝐸	PROPN
iajs-1817	54	16	)	)	PUNCT
iajs-1817	54	17	problem	problem	NOUN
iajs-1817	54	18	(	(	PUNCT
iajs-1817	54	19	p	p	NOUN
iajs-1817	54	20	):	):	PUNCT
iajs-1817	54	21	proposition	proposition	NOUN
iajs-1817	54	22	(	(	PUNCT
iajs-1817	54	23	1	1	NUM
iajs-1817	54	24	):	):	PUNCT
iajs-1817	54	25	the	the	DET
iajs-1817	54	26	spt	spt	NOUN
iajs-1817	54	27	sequence	sequence	NOUN
iajs-1817	54	28	is	be	AUX
iajs-1817	54	29	efficient	efficient	ADJ
iajs-1817	54	30	for	for	ADP
iajs-1817	54	31	the	the	DET
iajs-1817	54	32	problem	problem	NOUN
iajs-1817	54	33	(	(	PUNCT
iajs-1817	54	34	p	p	NOUN
iajs-1817	54	35	)	)	PUNCT
iajs-1817	54	36	.	.	PUNCT
iajs-1817	55	1	proof	proof	NOUN
iajs-1817	55	2	:	:	PUNCT
iajs-1817	55	3	first	first	ADV
iajs-1817	55	4	,	,	PUNCT
iajs-1817	55	5	suppose	suppose	VERB
iajs-1817	55	6	that	that	SCONJ
iajs-1817	55	7	all	all	DET
iajs-1817	55	8	processing	processing	NOUN
iajs-1817	55	9	times	time	NOUN
iajs-1817	55	10	are	be	AUX
iajs-1817	55	11	different	different	ADJ
iajs-1817	55	12	the	the	DET
iajs-1817	55	13	unique	unique	ADJ
iajs-1817	55	14	spt	spt	NOUN
iajs-1817	55	15	sequence	sequence	NOUN
iajs-1817	55	16	(	(	PUNCT
iajs-1817	55	17	𝑆𝑃𝑇∗	𝑆𝑃𝑇∗	PROPN
iajs-1817	55	18	)	)	PUNCT
iajs-1817	55	19	gives	give	VERB
iajs-1817	55	20	the	the	DET
iajs-1817	55	21	absolute	absolute	ADJ
iajs-1817	55	22	minimum	minimum	NOUN
iajs-1817	55	23	of	of	ADP
iajs-1817	55	24	∑𝐶	∑𝐶	PROPN
iajs-1817	55	25	.	.	PUNCT
iajs-1817	56	1	hence	hence	ADV
iajs-1817	56	2	there	there	PRON
iajs-1817	56	3	is	be	VERB
iajs-1817	56	4	no	no	DET
iajs-1817	56	5	sequence	sequence	NOUN
iajs-1817	56	6	𝜎	𝜎	NOUN
iajs-1817	56	7	𝑆𝑃𝑇∗	𝑆𝑃𝑇∗	INTJ
iajs-1817	56	8	such	such	ADJ
iajs-1817	56	9	that	that	PRON
iajs-1817	56	10	ihsciconf	ihsciconf	PROPN
iajs-1817	56	11	2017	2017	NUM
iajs-1817	56	12	special	special	ADJ
iajs-1817	56	13	issue	issue	NOUN
iajs-1817	56	14	ibn	ibn	PROPN
iajs-1817	56	15	al	al	PROPN
iajs-1817	56	16	-	-	PUNCT
iajs-1817	56	17	haitham	haitham	PROPN
iajs-1817	56	18	journal	journal	PROPN
iajs-1817	56	19	for	for	ADP
iajs-1817	56	20	pure	pure	ADJ
iajs-1817	56	21	and	and	CCONJ
iajs-1817	56	22	applied	apply	VERB
iajs-1817	56	23	science	science	NOUN
iajs-1817	56	24	https://doi.org/	https://doi.org/	NOUN
iajs-1817	56	25	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	56	26	for	for	ADP
iajs-1817	56	27	more	more	ADJ
iajs-1817	56	28	information	information	NOUN
iajs-1817	56	29	about	about	ADP
iajs-1817	56	30	the	the	DET
iajs-1817	56	31	conference	conference	NOUN
iajs-1817	56	32	please	please	INTJ
iajs-1817	56	33	visit	visit	VERB
iajs-1817	56	34	the	the	DET
iajs-1817	56	35	websites	website	NOUN
iajs-1817	56	36	:	:	PUNCT
iajs-1817	56	37	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	56	38	   	   	SPACE
iajs-1817	56	39	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1817	56	40	   	   	SPACE
iajs-1817	56	41	mathematics|439	mathematics|439	NOUN
iajs-1817	56	42	    	    	SPACE
iajs-1817	57	1	∑𝐶	∑𝐶	PROPN
iajs-1817	57	2	𝜎	𝜎	PROPN
iajs-1817	57	3	∑𝐶	∑𝐶	PROPN
iajs-1817	57	4	(	(	PUNCT
iajs-1817	57	5	𝑆𝑃𝑇∗),∑𝑇	𝑆𝑃𝑇∗),∑𝑇	NOUN
iajs-1817	57	6	𝜎	𝜎	PROPN
iajs-1817	57	7	∑𝑇	∑𝑇	PROPN
iajs-1817	57	8	(	(	PUNCT
iajs-1817	57	9	𝑆𝑃𝑇∗),∑𝐸	𝑆𝑃𝑇∗),∑𝐸	PROPN
iajs-1817	57	10	𝜎	𝜎	X
iajs-1817	57	11	∑𝐸	∑𝐸	PROPN
iajs-1817	57	12	(	(	PUNCT
iajs-1817	57	13	𝑆𝑃𝑇∗	𝑆𝑃𝑇∗	PROPN
iajs-1817	57	14	)	)	PUNCT
iajs-1817	57	15	,	,	PUNCT
iajs-1817	57	16	𝑇	𝑇	PROPN
iajs-1817	57	17	𝜎	𝜎	PROPN
iajs-1817	57	18	𝑇	𝑇	PROPN
iajs-1817	57	19	(	(	PUNCT
iajs-1817	57	20	𝑆𝑃𝑇∗	𝑆𝑃𝑇∗	PROPN
iajs-1817	57	21	)	)	PUNCT
iajs-1817	57	22	and	and	CCONJ
iajs-1817	57	23	𝐸	𝐸	PROPN
iajs-1817	57	24	𝜎	𝜎	PROPN
iajs-1817	57	25	𝐸	𝐸	PROPN
iajs-1817	57	26	(	(	PUNCT
iajs-1817	57	27	𝑆𝑃𝑇∗	𝑆𝑃𝑇∗	PROPN
iajs-1817	57	28	)	)	PUNCT
iajs-1817	57	29	…	…	PUNCT
iajs-1817	57	30	(	(	PUNCT
iajs-1817	57	31	3.1	3.1	NUM
iajs-1817	57	32	)	)	PUNCT
iajs-1817	57	33	with	with	ADP
iajs-1817	57	34	at	at	ADV
iajs-1817	57	35	least	least	ADV
iajs-1817	57	36	one	one	NUM
iajs-1817	57	37	strict	strict	ADJ
iajs-1817	57	38	inequality	inequality	NOUN
iajs-1817	57	39	.	.	PUNCT
iajs-1817	58	1	second	second	ADV
iajs-1817	58	2	if	if	SCONJ
iajs-1817	58	3	more	more	ADJ
iajs-1817	58	4	than	than	ADP
iajs-1817	58	5	one	one	NUM
iajs-1817	58	6	spt	spt	NOUN
iajs-1817	58	7	sequence	sequence	NOUN
iajs-1817	58	8	exists	exist	VERB
iajs-1817	58	9	,	,	PUNCT
iajs-1817	58	10	jobs	job	NOUN
iajs-1817	58	11	with	with	ADP
iajs-1817	58	12	equal	equal	ADJ
iajs-1817	58	13	processing	processing	NOUN
iajs-1817	58	14	times	time	NOUN
iajs-1817	58	15	are	be	AUX
iajs-1817	58	16	order	order	NOUN
iajs-1817	58	17	in	in	ADP
iajs-1817	58	18	edd	edd	PROPN
iajs-1817	58	19	rule	rule	NOUN
iajs-1817	58	20	,	,	PUNCT
iajs-1817	58	21	if	if	SCONJ
iajs-1817	58	22	spt	spt	PROPN
iajs-1817	58	23	and	and	CCONJ
iajs-1817	58	24	edd	edd	PROPN
iajs-1817	58	25	are	be	AUX
iajs-1817	58	26	identical	identical	ADJ
iajs-1817	58	27	then	then	ADV
iajs-1817	58	28	order	order	VERB
iajs-1817	58	29	these	these	DET
iajs-1817	58	30	jobs	job	NOUN
iajs-1817	58	31	in	in	ADP
iajs-1817	58	32	mst	mst	PROPN
iajs-1817	58	33	and	and	CCONJ
iajs-1817	58	34	let	let	VERB
iajs-1817	58	35	the	the	DET
iajs-1817	58	36	resulting	result	VERB
iajs-1817	58	37	spt	spt	NOUN
iajs-1817	58	38	sequence	sequence	NOUN
iajs-1817	58	39	(	(	PUNCT
iajs-1817	58	40	𝑆𝑃𝑇∗	𝑆𝑃𝑇∗	PROPN
iajs-1817	58	41	)	)	PUNCT
iajs-1817	58	42	.	.	PUNCT
iajs-1817	59	1	note	note	VERB
iajs-1817	59	2	if	if	SCONJ
iajs-1817	59	3	𝜎	𝜎	PROPN
iajs-1817	59	4	is	be	AUX
iajs-1817	59	5	an	an	DET
iajs-1817	59	6	spt	spt	NOUN
iajs-1817	59	7	but	but	CCONJ
iajs-1817	59	8	not	not	PART
iajs-1817	59	9	𝑆𝑃𝑇∗	𝑆𝑃𝑇∗	PROPN
iajs-1817	59	10	sequence	sequence	NOUN
iajs-1817	59	11	it	it	PRON
iajs-1817	59	12	can	can	AUX
iajs-1817	59	13	not	not	PART
iajs-1817	59	14	dominate	dominate	VERB
iajs-1817	59	15	𝑆𝑃𝑇∗	𝑆𝑃𝑇∗	PROPN
iajs-1817	59	16	sequence	sequence	NOUN
iajs-1817	59	17	since	since	SCONJ
iajs-1817	59	18	:	:	PUNCT
iajs-1817	59	19	∑𝐶	∑𝐶	PROPN
iajs-1817	59	20	𝜎	𝜎	PROPN
iajs-1817	59	21	∑𝐶	∑𝐶	PROPN
iajs-1817	59	22	(	(	PUNCT
iajs-1817	59	23	𝑆𝑃𝑇∗),∑𝑇	𝑆𝑃𝑇∗),∑𝑇	NOUN
iajs-1817	59	24	𝑆𝑃𝑇∗	𝑆𝑃𝑇∗	PROPN
iajs-1817	59	25	∑𝑇	∑𝑇	PROPN
iajs-1817	59	26	(	(	PUNCT
iajs-1817	59	27	𝜎),∑𝐸	𝜎),∑𝐸	NOUN
iajs-1817	59	28	𝑆𝑃𝑇∗	𝑆𝑃𝑇∗	PROPN
iajs-1817	59	29	∑𝐸	∑𝐸	PROPN
iajs-1817	59	30	(	(	PUNCT
iajs-1817	59	31	𝜎	𝜎	PROPN
iajs-1817	59	32	)	)	PUNCT
iajs-1817	59	33	,	,	PUNCT
iajs-1817	59	34	𝑇	𝑇	PROPN
iajs-1817	59	35	𝑆𝑃𝑇∗	𝑆𝑃𝑇∗	PROPN
iajs-1817	59	36	𝑇	𝑇	PROPN
iajs-1817	59	37	(	(	PUNCT
iajs-1817	59	38	𝜎	𝜎	NOUN
iajs-1817	59	39	)	)	PUNCT
iajs-1817	59	40	and	and	CCONJ
iajs-1817	59	41	𝐸	𝐸	PROPN
iajs-1817	59	42	𝑆𝑃𝑇∗	𝑆𝑃𝑇∗	PROPN
iajs-1817	59	43	𝐸	𝐸	PROPN
iajs-1817	59	44	(	(	PUNCT
iajs-1817	59	45	𝜎	𝜎	NOUN
iajs-1817	59	46	)	)	PUNCT
iajs-1817	59	47	…	…	PUNCT
iajs-1817	59	48	(	(	PUNCT
iajs-1817	59	49	3.2	3.2	NUM
iajs-1817	59	50	)	)	PUNCT
iajs-1817	59	51	hence	hence	ADV
iajs-1817	59	52	𝑆𝑃𝑇∗	𝑆𝑃𝑇∗	PROPN
iajs-1817	59	53	sequence	sequence	NOUN
iajs-1817	59	54	is	be	AUX
iajs-1817	59	55	efficient.∎	efficient.∎	NOUN
iajs-1817	59	56	proposition	proposition	NOUN
iajs-1817	59	57	(	(	PUNCT
iajs-1817	59	58	2	2	NUM
iajs-1817	59	59	):	):	PUNCT
iajs-1817	59	60	if	if	SCONJ
iajs-1817	59	61	spt	spt	PROPN
iajs-1817	59	62	rule	rule	NOUN
iajs-1817	59	63	,	,	PUNCT
iajs-1817	59	64	edd	edd	PROPN
iajs-1817	59	65	rule	rule	NOUN
iajs-1817	59	66	and	and	CCONJ
iajs-1817	59	67	mst	mst	PROPN
iajs-1817	59	68	rule	rule	NOUN
iajs-1817	59	69	are	be	AUX
iajs-1817	59	70	identical	identical	ADJ
iajs-1817	59	71	,	,	PUNCT
iajs-1817	59	72	then	then	ADV
iajs-1817	59	73	there	there	PRON
iajs-1817	59	74	is	be	VERB
iajs-1817	59	75	one	one	NUM
iajs-1817	59	76	or	or	CCONJ
iajs-1817	59	77	more	more	ADJ
iajs-1817	59	78	than	than	ADP
iajs-1817	59	79	one	one	NUM
iajs-1817	59	80	efficient	efficient	ADJ
iajs-1817	59	81	solution	solution	NOUN
iajs-1817	59	82	for	for	ADP
iajs-1817	59	83	the	the	DET
iajs-1817	59	84	problem	problem	NOUN
iajs-1817	59	85	(	(	PUNCT
iajs-1817	59	86	p	p	NOUN
iajs-1817	59	87	)	)	PUNCT
iajs-1817	59	88	.	.	PUNCT
iajs-1817	60	1	proof	proof	NOUN
iajs-1817	60	2	:	:	PUNCT
iajs-1817	60	3	it	it	PRON
iajs-1817	60	4	is	be	AUX
iajs-1817	60	5	clear	clear	ADJ
iajs-1817	60	6	that	that	SCONJ
iajs-1817	60	7	this	this	DET
iajs-1817	60	8	identical	identical	ADJ
iajs-1817	60	9	sequence	sequence	NOUN
iajs-1817	60	10	(	(	PUNCT
iajs-1817	60	11	s	s	X
iajs-1817	60	12	)	)	PUNCT
iajs-1817	60	13	is	be	AUX
iajs-1817	60	14	efficient	efficient	ADJ
iajs-1817	60	15	by	by	ADP
iajs-1817	60	16	proposition	proposition	NOUN
iajs-1817	60	17	(	(	PUNCT
iajs-1817	60	18	1	1	NUM
iajs-1817	60	19	)	)	PUNCT
iajs-1817	60	20	.	.	PUNCT
iajs-1817	61	1	now	now	ADV
iajs-1817	61	2	since	since	SCONJ
iajs-1817	61	3	∑𝐸	∑𝐸	PROPN
iajs-1817	61	4	is	be	AUX
iajs-1817	61	5	non	non	ADJ
iajs-1817	61	6	regular	regular	ADJ
iajs-1817	61	7	criteria	criterion	NOUN
iajs-1817	61	8	,	,	PUNCT
iajs-1817	61	9	there	there	PRON
iajs-1817	61	10	may	may	AUX
iajs-1817	61	11	be	be	AUX
iajs-1817	61	12	another	another	DET
iajs-1817	61	13	sequence	sequence	NOUN
iajs-1817	61	14	(	(	PUNCT
iajs-1817	61	15	𝑠	𝑠	PROPN
iajs-1817	61	16	)	)	PUNCT
iajs-1817	61	17	with	with	ADP
iajs-1817	61	18	value	value	NOUN
iajs-1817	61	19	of	of	ADP
iajs-1817	61	20	∑𝐸	∑𝐸	PROPN
iajs-1817	61	21	(	(	PUNCT
iajs-1817	61	22	𝑠	𝑠	PROPN
iajs-1817	61	23	)	)	PUNCT
iajs-1817	61	24	∑𝐸	∑𝐸	PROPN
iajs-1817	61	25	(	(	PUNCT
iajs-1817	61	26	s	s	NOUN
iajs-1817	61	27	)	)	PUNCT
iajs-1817	61	28	.	.	PUNCT
iajs-1817	62	1	hence	hence	ADV
iajs-1817	62	2	the	the	DET
iajs-1817	62	3	sequence	sequence	NOUN
iajs-1817	62	4	𝑠	𝑠	PROPN
iajs-1817	62	5	is	be	AUX
iajs-1817	62	6	also	also	ADV
iajs-1817	62	7	efficient	efficient	ADJ
iajs-1817	62	8	solution∎.	solution∎.	PROPN
iajs-1817	62	9	example	example	NOUN
iajs-1817	62	10	(	(	PUNCT
iajs-1817	62	11	1	1	NUM
iajs-1817	62	12	):	):	PUNCT
iajs-1817	62	13	consider	consider	VERB
iajs-1817	62	14	the	the	DET
iajs-1817	62	15	problem	problem	NOUN
iajs-1817	62	16	(	(	PUNCT
iajs-1817	62	17	p	p	NOUN
iajs-1817	62	18	)	)	PUNCT
iajs-1817	62	19	with	with	ADP
iajs-1817	62	20	the	the	DET
iajs-1817	62	21	following	follow	VERB
iajs-1817	62	22	data	datum	NOUN
iajs-1817	62	23	:	:	PUNCT
iajs-1817	62	24	pi=(2,3,3,5	pi=(2,3,3,5	NOUN
iajs-1817	62	25	)	)	PUNCT
iajs-1817	62	26	,	,	PUNCT
iajs-1817	62	27	di=(3,6,8,10	di=(3,6,8,10	PROPN
iajs-1817	62	28	)	)	PUNCT
iajs-1817	62	29	and	and	CCONJ
iajs-1817	62	30	si=(1,3,5,5	si=(1,3,5,5	NOUN
iajs-1817	62	31	)	)	PUNCT
iajs-1817	62	32	.	.	PUNCT
iajs-1817	63	1	the	the	DET
iajs-1817	63	2	sequence	sequence	NOUN
iajs-1817	63	3	(	(	PUNCT
iajs-1817	63	4	1,2,3,4	1,2,3,4	NUM
iajs-1817	63	5	)	)	PUNCT
iajs-1817	63	6	is	be	AUX
iajs-1817	63	7	spt	spt	PROPN
iajs-1817	63	8	,	,	PUNCT
iajs-1817	63	9	edd	edd	PROPN
iajs-1817	63	10	and	and	CCONJ
iajs-1817	63	11	mst	mst	PROPN
iajs-1817	63	12	give	give	VERB
iajs-1817	63	13	the	the	DET
iajs-1817	63	14	only	only	ADJ
iajs-1817	63	15	one	one	NUM
iajs-1817	63	16	efficient	efficient	ADJ
iajs-1817	63	17	.	.	PUNCT
iajs-1817	64	1	(	(	PUNCT
iajs-1817	64	2	∑𝐶	∑𝐶	PROPN
iajs-1817	64	3	,	,	PUNCT
iajs-1817	64	4	∑𝑇	∑𝑇	PROPN
iajs-1817	64	5	,	,	PUNCT
iajs-1817	64	6	∑𝐸	∑𝐸	PROPN
iajs-1817	64	7	,	,	PUNCT
iajs-1817	64	8	𝑇	𝑇	PROPN
iajs-1817	64	9	,	,	PUNCT
iajs-1817	64	10	𝐸	𝐸	PROPN
iajs-1817	64	11	=	=	SYM
iajs-1817	64	12	(	(	PUNCT
iajs-1817	64	13	28,3,2,3,1	28,3,2,3,1	NUM
iajs-1817	64	14	)	)	PUNCT
iajs-1817	64	15	,	,	PUNCT
iajs-1817	64	16	which	which	PRON
iajs-1817	64	17	is	be	AUX
iajs-1817	64	18	obtained	obtain	VERB
iajs-1817	64	19	by	by	ADP
iajs-1817	64	20	(	(	PUNCT
iajs-1817	64	21	cem	cem	NOUN
iajs-1817	64	22	)	)	PUNCT
iajs-1817	64	23	.	.	PUNCT
iajs-1817	65	1	proposition	proposition	NOUN
iajs-1817	65	2	(	(	PUNCT
iajs-1817	65	3	3	3	NUM
iajs-1817	65	4	):	):	PUNCT
iajs-1817	65	5	if	if	SCONJ
iajs-1817	65	6	spt	spt	ADJ
iajs-1817	65	7	rule	rule	NOUN
iajs-1817	65	8	and	and	CCONJ
iajs-1817	65	9	mst	mst	PROPN
iajs-1817	65	10	rule	rule	NOUN
iajs-1817	65	11	are	be	AUX
iajs-1817	65	12	identical	identical	ADJ
iajs-1817	65	13	then	then	ADV
iajs-1817	65	14	there	there	PRON
iajs-1817	65	15	is	be	VERB
iajs-1817	65	16	one	one	NUM
iajs-1817	65	17	or	or	CCONJ
iajs-1817	65	18	more	more	ADJ
iajs-1817	65	19	than	than	ADP
iajs-1817	65	20	one	one	NUM
iajs-1817	65	21	efficient	efficient	ADJ
iajs-1817	65	22	solution	solution	NOUN
iajs-1817	65	23	.	.	PUNCT
iajs-1817	66	1	proof	proof	NOUN
iajs-1817	66	2	:	:	PUNCT
iajs-1817	66	3	the	the	DET
iajs-1817	66	4	sequence	sequence	NOUN
iajs-1817	66	5	s=(1,	s=(1,	NOUN
iajs-1817	66	6	…	…	PUNCT
iajs-1817	66	7	,n	,n	NOUN
iajs-1817	66	8	)	)	PUNCT
iajs-1817	66	9	obtained	obtain	VERB
iajs-1817	66	10	from	from	ADP
iajs-1817	66	11	the	the	DET
iajs-1817	66	12	identical	identical	ADJ
iajs-1817	66	13	spt	spt	NOUN
iajs-1817	66	14	rule	rule	NOUN
iajs-1817	66	15	and	and	CCONJ
iajs-1817	66	16	mst	mst	PROPN
iajs-1817	66	17	rule	rule	NOUN
iajs-1817	66	18	respectively	respectively	ADV
iajs-1817	66	19	.	.	PUNCT
iajs-1817	67	1	hence	hence	ADV
iajs-1817	67	2	we	we	PRON
iajs-1817	67	3	have	have	VERB
iajs-1817	67	4	:	:	PUNCT
iajs-1817	67	5	p	p	X
iajs-1817	67	6	p	p	X
iajs-1817	67	7	…	…	PUNCT
iajs-1817	67	8	p	p	X
iajs-1817	67	9	…	…	PUNCT
iajs-1817	67	10	(	(	PUNCT
iajs-1817	67	11	3.3	3.3	NUM
iajs-1817	67	12	)	)	PUNCT
iajs-1817	68	1	d	d	NOUN
iajs-1817	68	2	p	p	NOUN
iajs-1817	68	3	d	d	X
iajs-1817	68	4	p	p	NOUN
iajs-1817	68	5	…	…	PUNCT
iajs-1817	68	6	d	d	X
iajs-1817	68	7	p	p	X
iajs-1817	68	8	…	…	PUNCT
iajs-1817	68	9	(	(	PUNCT
iajs-1817	68	10	3.4	3.4	NUM
iajs-1817	68	11	)	)	PUNCT
iajs-1817	68	12	the	the	DET
iajs-1817	68	13	edd	edd	PROPN
iajs-1817	68	14	rule	rule	NOUN
iajs-1817	68	15	d	d	PROPN
iajs-1817	68	16	d	d	PROPN
iajs-1817	68	17	…	…	PUNCT
iajs-1817	68	18	d	d	NOUN
iajs-1817	68	19	is	be	AUX
iajs-1817	68	20	obtained	obtain	VERB
iajs-1817	68	21	by	by	ADP
iajs-1817	68	22	adding	add	VERB
iajs-1817	68	23	(	(	PUNCT
iajs-1817	68	24	3.3	3.3	NUM
iajs-1817	68	25	)	)	PUNCT
iajs-1817	68	26	&	&	CCONJ
iajs-1817	68	27	(	(	PUNCT
iajs-1817	68	28	3.4	3.4	NUM
iajs-1817	68	29	)	)	PUNCT
iajs-1817	68	30	hence	hence	ADV
iajs-1817	68	31	the	the	DET
iajs-1817	68	32	spt	spt	PROPN
iajs-1817	68	33	,	,	PUNCT
iajs-1817	68	34	edd	edd	PROPN
iajs-1817	68	35	and	and	CCONJ
iajs-1817	68	36	mst	mst	PROPN
iajs-1817	68	37	are	be	AUX
iajs-1817	68	38	identical	identical	ADJ
iajs-1817	68	39	,	,	PUNCT
iajs-1817	68	40	and	and	CCONJ
iajs-1817	68	41	we	we	PRON
iajs-1817	68	42	have	have	VERB
iajs-1817	68	43	one	one	NUM
iajs-1817	68	44	or	or	CCONJ
iajs-1817	68	45	more	more	ADJ
iajs-1817	68	46	than	than	ADP
iajs-1817	68	47	one	one	NUM
iajs-1817	68	48	efficient	efficient	ADJ
iajs-1817	68	49	solution	solution	NOUN
iajs-1817	68	50	by	by	ADP
iajs-1817	68	51	proposition	proposition	NOUN
iajs-1817	68	52	(	(	PUNCT
iajs-1817	68	53	2	2	NUM
iajs-1817	68	54	)	)	PUNCT
iajs-1817	68	55	∎.	∎.	NOUN
iajs-1817	68	56	2algorithm	2algorithm	NUM
iajs-1817	68	57	(	(	PUNCT
iajs-1817	68	58	ap	ap	PROPN
iajs-1817	68	59	)	)	PUNCT
iajs-1817	68	60	for	for	ADP
iajs-1817	68	61	determination	determination	NOUN
iajs-1817	68	62	of	of	ADP
iajs-1817	68	63	approximate	approximate	ADJ
iajs-1817	68	64	set	set	NOUN
iajs-1817	68	65	of	of	ADP
iajs-1817	68	66	efficient	efficient	ADJ
iajs-1817	68	67	solutions	solution	NOUN
iajs-1817	68	68	for	for	ADP
iajs-1817	68	69	the	the	DET
iajs-1817	68	70	problem	problem	NOUN
iajs-1817	68	71	(	(	PUNCT
iajs-1817	68	72	p	p	NOUN
iajs-1817	68	73	)	)	PUNCT
iajs-1817	68	74	.	.	PUNCT
iajs-1817	69	1	we	we	PRON
iajs-1817	69	2	propose	propose	VERB
iajs-1817	69	3	algorithm	algorithm	NOUN
iajs-1817	69	4	(	(	PUNCT
iajs-1817	69	5	ap	ap	PROPN
iajs-1817	69	6	)	)	PUNCT
iajs-1817	69	7	to	to	PART
iajs-1817	69	8	determine	determine	VERB
iajs-1817	69	9	the	the	DET
iajs-1817	69	10	set	set	NOUN
iajs-1817	69	11	of	of	ADP
iajs-1817	69	12	approximate	approximate	ADJ
iajs-1817	69	13	solutions	solution	NOUN
iajs-1817	69	14	(	(	PUNCT
iajs-1817	69	15	sa	sa	NOUN
iajs-1817	69	16	)	)	PUNCT
iajs-1817	69	17	for	for	ADP
iajs-1817	69	18	the	the	DET
iajs-1817	69	19	problem	problem	NOUN
iajs-1817	69	20	(	(	PUNCT
iajs-1817	69	21	p	p	NOUN
iajs-1817	69	22	)	)	PUNCT
iajs-1817	69	23	.	.	PUNCT
iajs-1817	70	1	this	this	DET
iajs-1817	70	2	algorithm	algorithm	NOUN
iajs-1817	70	3	consists	consist	VERB
iajs-1817	70	4	of	of	ADP
iajs-1817	70	5	two	two	NUM
iajs-1817	70	6	parts	part	NOUN
iajs-1817	70	7	,	,	PUNCT
iajs-1817	70	8	the	the	DET
iajs-1817	70	9	first	first	ADJ
iajs-1817	70	10	part	part	NOUN
iajs-1817	70	11	deals	deal	VERB
iajs-1817	70	12	with	with	ADP
iajs-1817	70	13	calculation	calculation	NOUN
iajs-1817	70	14	of	of	ADP
iajs-1817	70	15	tardiness	tardiness	NOUN
iajs-1817	70	16	and	and	CCONJ
iajs-1817	70	17	total	total	ADJ
iajs-1817	70	18	completion	completion	NOUN
iajs-1817	70	19	times	time	NOUN
iajs-1817	70	20	,	,	PUNCT
iajs-1817	70	21	the	the	DET
iajs-1817	70	22	second	second	ADJ
iajs-1817	70	23	part	part	NOUN
iajs-1817	70	24	deals	deal	VERB
iajs-1817	70	25	with	with	ADP
iajs-1817	70	26	calculation	calculation	NOUN
iajs-1817	70	27	of	of	ADP
iajs-1817	70	28	earliness	earliness	NOUN
iajs-1817	70	29	and	and	CCONJ
iajs-1817	70	30	total	total	ADJ
iajs-1817	70	31	completion	completion	NOUN
iajs-1817	70	32	times	time	NOUN
iajs-1817	70	33	.	.	PUNCT
iajs-1817	71	1	ihsciconf	ihsciconf	PROPN
iajs-1817	71	2	2017	2017	NUM
iajs-1817	71	3	special	special	ADJ
iajs-1817	71	4	issue	issue	NOUN
iajs-1817	71	5	ibn	ibn	PROPN
iajs-1817	71	6	al	al	PROPN
iajs-1817	71	7	-	-	PUNCT
iajs-1817	71	8	haitham	haitham	PROPN
iajs-1817	71	9	journal	journal	PROPN
iajs-1817	71	10	for	for	ADP
iajs-1817	71	11	pure	pure	ADJ
iajs-1817	71	12	and	and	CCONJ
iajs-1817	71	13	applied	apply	VERB
iajs-1817	71	14	science	science	NOUN
iajs-1817	71	15	https://doi.org/	https://doi.org/	NOUN
iajs-1817	71	16	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	71	17	for	for	ADP
iajs-1817	71	18	more	more	ADJ
iajs-1817	71	19	information	information	NOUN
iajs-1817	71	20	about	about	ADP
iajs-1817	71	21	the	the	DET
iajs-1817	71	22	conference	conference	NOUN
iajs-1817	71	23	please	please	INTJ
iajs-1817	71	24	visit	visit	VERB
iajs-1817	71	25	the	the	DET
iajs-1817	71	26	websites	website	NOUN
iajs-1817	71	27	:	:	PUNCT
iajs-1817	71	28	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	71	29	   	   	SPACE
iajs-1817	71	30	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1817	71	31	   	   	SPACE
iajs-1817	71	32	mathematics|440	mathematics|440	PROPN
iajs-1817	71	33	    	    	SPACE
iajs-1817	71	34	algorithm	algorithm	NOUN
iajs-1817	71	35	(	(	PUNCT
iajs-1817	71	36	ap)for	ap)for	ADP
iajs-1817	71	37	finding	find	VERB
iajs-1817	71	38	efficient	efficient	ADJ
iajs-1817	71	39	solutions	solution	NOUN
iajs-1817	71	40	for	for	ADP
iajs-1817	71	41	the	the	DET
iajs-1817	71	42	problem	problem	NOUN
iajs-1817	71	43	1//(∑𝑪𝒊	1//(∑𝑪𝒊	NOUN
iajs-1817	71	44	,	,	PUNCT
iajs-1817	71	45	∑𝑻𝒊	∑𝑻𝒊	PROPN
iajs-1817	71	46	,	,	PUNCT
iajs-1817	71	47	∑𝑬𝒊	∑𝑬𝒊	PROPN
iajs-1817	71	48	,	,	PUNCT
iajs-1817	71	49	𝑻𝒎𝒂𝒙	𝑻𝒎𝒂𝒙	PROPN
iajs-1817	71	50	,	,	PUNCT
iajs-1817	71	51	𝑬𝒎𝒂𝒙	𝑬𝒎𝒂𝒙	PROPN
iajs-1817	71	52	)	)	PUNCT
iajs-1817	71	53	(	(	PUNCT
iajs-1817	71	54	p	p	NOUN
iajs-1817	71	55	)	)	PUNCT
iajs-1817	71	56	:	:	PUNCT
iajs-1817	71	57	step(0	step(0	NOUN
iajs-1817	71	58	):	):	PUNCT
iajs-1817	71	59	set	set	VERB
iajs-1817	71	60	∆=∑𝑷𝒊	∆=∑𝑷𝒊	PROPN
iajs-1817	71	61	and	and	CCONJ
iajs-1817	71	62	σ	σ	NOUN
iajs-1817	71	63	∅	∅	NOUN
iajs-1817	71	64	.	.	PUNCT
iajs-1817	72	1	step(1	step(1	NOUN
iajs-1817	72	2	):	):	PUNCT
iajs-1817	72	3	set	set	NOUN
iajs-1817	72	4	n={1,	n={1,	NOUN
iajs-1817	72	5	…	…	PUNCT
iajs-1817	72	6	,n	,n	NOUN
iajs-1817	72	7	}	}	PUNCT
iajs-1817	72	8	,	,	PUNCT
iajs-1817	72	9	k	k	X
iajs-1817	72	10	=	=	NOUN
iajs-1817	72	11	n	n	X
iajs-1817	72	12	,	,	PUNCT
iajs-1817	72	13	t=∑𝑷𝒊.	t=∑𝑷𝒊.	ADP
iajs-1817	72	14	step(2	step(2	ADJ
iajs-1817	72	15	):	):	PUNCT
iajs-1817	72	16	calculate	calculate	NOUN
iajs-1817	72	17	𝑻𝒊	𝑻𝒊	PROPN
iajs-1817	72	18	∀	∀	NOUN
iajs-1817	72	19	i	i	PRON
iajs-1817	72	20	∈n	∈n	VERB
iajs-1817	72	21	(	(	PUNCT
iajs-1817	72	22	by	by	ADP
iajs-1817	72	23	lawler	lawler	PROPN
iajs-1817	72	24	algorithm	algorithm	PROPN
iajs-1817	72	25	)	)	PUNCT
iajs-1817	72	26	.	.	PUNCT
iajs-1817	73	1	step(3	step(3	PROPN
iajs-1817	73	2	):	):	PUNCT
iajs-1817	73	3	find	find	VERB
iajs-1817	73	4	a	a	DET
iajs-1817	73	5	job	job	NOUN
iajs-1817	73	6	j∈n	j∈n	NOUN
iajs-1817	73	7	such	such	ADJ
iajs-1817	73	8	that	that	SCONJ
iajs-1817	73	9	𝑻𝒋	𝑻𝒋	PROPN
iajs-1817	73	10	∆	∆	PROPN
iajs-1817	73	11	,	,	PUNCT
iajs-1817	73	12	𝑷𝒋	𝑷𝒋	PROPN
iajs-1817	73	13	𝑷𝒊	𝑷𝒊	PROPN
iajs-1817	73	14	∀𝑗	∀𝑗	PROPN
iajs-1817	73	15	,	,	PUNCT
iajs-1817	73	16	𝑖	𝑖	X
iajs-1817	73	17	∈n	∈n	NOUN
iajs-1817	73	18	and	and	CCONJ
iajs-1817	73	19	𝑻𝒊	𝑻𝒊	PROPN
iajs-1817	73	20	∆	∆	PROPN
iajs-1817	73	21	assign	assign	NOUN
iajs-1817	73	22	job	job	NOUN
iajs-1817	73	23	j	j	PROPN
iajs-1817	73	24	in	in	ADP
iajs-1817	73	25	position	position	NOUN
iajs-1817	73	26	k	k	PROPN
iajs-1817	73	27	of	of	ADP
iajs-1817	73	28	σ	σ	PROPN
iajs-1817	73	29	if	if	SCONJ
iajs-1817	73	30	no	no	DET
iajs-1817	73	31	job	job	NOUN
iajs-1817	73	32	j	j	NOUN
iajs-1817	73	33	with	with	ADP
iajs-1817	73	34	𝑻𝒋	𝑻𝒋	PROPN
iajs-1817	73	35	∆	∆	PROPN
iajs-1817	73	36	,	,	PUNCT
iajs-1817	73	37	set	set	VERB
iajs-1817	73	38	𝑬𝒎𝒂𝒙	𝑬𝒎𝒂𝒙	NOUN
iajs-1817	73	39	𝜎	𝜎	NOUN
iajs-1817	73	40	𝑬𝒎𝒂𝒙	𝑬𝒎𝒂𝒙	NOUN
iajs-1817	73	41	𝑠𝑝𝑡	𝑠𝑝𝑡	ADV
iajs-1817	73	42	go	go	VERB
iajs-1817	73	43	to	to	ADP
iajs-1817	73	44	step(7	step(7	ADV
iajs-1817	73	45	)	)	PUNCT
iajs-1817	73	46	.	.	PUNCT
iajs-1817	74	1	step(4	step(4	NOUN
iajs-1817	74	2	):	):	PUNCT
iajs-1817	74	3	set	set	VERB
iajs-1817	74	4	t	t	PROPN
iajs-1817	74	5	=	=	NOUN
iajs-1817	74	6	t-𝑷𝒋	t-𝑷𝒋	NOUN
iajs-1817	74	7	,	,	PUNCT
iajs-1817	74	8	n	n	CCONJ
iajs-1817	74	9	=	=	NOUN
iajs-1817	74	10	n-{j	n-{j	PROPN
iajs-1817	74	11	}	}	PUNCT
iajs-1817	74	12	,	,	PUNCT
iajs-1817	74	13	k	k	PROPN
iajs-1817	74	14	=	=	PROPN
iajs-1817	74	15	k-1	k-1	PROPN
iajs-1817	74	16	,	,	PUNCT
iajs-1817	74	17	if	if	SCONJ
iajs-1817	74	18	k	k	PROPN
iajs-1817	74	19	1go	1go	NOUN
iajs-1817	74	20	to	to	PART
iajs-1817	74	21	step	step	VERB
iajs-1817	74	22	(	(	PUNCT
iajs-1817	74	23	2	2	NUM
iajs-1817	74	24	)	)	PUNCT
iajs-1817	74	25	.	.	PUNCT
iajs-1817	75	1	step(5	step(5	ADV
iajs-1817	75	2	):	):	PUNCT
iajs-1817	75	3	for	for	ADP
iajs-1817	75	4	the	the	DET
iajs-1817	75	5	resulting	result	VERB
iajs-1817	75	6	sequence	sequence	NOUN
iajs-1817	75	7	job	job	NOUN
iajs-1817	75	8	σ	σ	PROPN
iajs-1817	75	9	σ	σ	PROPN
iajs-1817	75	10	1	1	NUM
iajs-1817	75	11	,	,	PUNCT
iajs-1817	75	12	…	…	PUNCT
iajs-1817	75	13	σ	σ	NOUN
iajs-1817	75	14	𝑛	𝑛	PRON
iajs-1817	75	15	calculate	calculate	NOUN
iajs-1817	75	16	(	(	PUNCT
iajs-1817	75	17	∑𝐶	∑𝐶	PROPN
iajs-1817	75	18	𝜎	𝜎	PROPN
iajs-1817	75	19	,	,	PUNCT
iajs-1817	75	20	∑𝑇	∑𝑇	PROPN
iajs-1817	75	21	𝜎	𝜎	PROPN
iajs-1817	75	22	,	,	PUNCT
iajs-1817	75	23	∑𝐸	∑𝐸	PROPN
iajs-1817	75	24	𝜎	𝜎	PROPN
iajs-1817	75	25	,	,	PUNCT
iajs-1817	75	26	𝑇	𝑇	PROPN
iajs-1817	75	27	𝜎	𝜎	PROPN
iajs-1817	75	28	,	,	PUNCT
iajs-1817	75	29	𝐸	𝐸	PROPN
iajs-1817	75	30	𝜎	𝜎	PROPN
iajs-1817	75	31	.	.	PUNCT
iajs-1817	76	1	step(6	step(6	PROPN
iajs-1817	76	2	):	):	PUNCT
iajs-1817	76	3	put	put	VERB
iajs-1817	76	4	∆	∆	X
iajs-1817	77	1	=	=	SYM
iajs-1817	77	2	𝑇	𝑇	PROPN
iajs-1817	77	3	𝜎	𝜎	PROPN
iajs-1817	77	4	-1	-1	X
iajs-1817	77	5	,	,	PUNCT
iajs-1817	77	6	go	go	VERB
iajs-1817	77	7	to	to	ADP
iajs-1817	77	8	step(2	step(2	ADJ
iajs-1817	77	9	)	)	PUNCT
iajs-1817	77	10	.	.	PUNCT
iajs-1817	78	1	step(7	step(7	ADV
iajs-1817	78	2	):	):	PUNCT
iajs-1817	78	3	put	put	VERB
iajs-1817	78	4	∆	∆	X
iajs-1817	78	5	=	=	X
iajs-1817	78	6	𝐸	𝐸	PROPN
iajs-1817	78	7	𝜎	𝜎	NOUN
iajs-1817	78	8	-1	-1	INTJ
iajs-1817	78	9	,	,	PUNCT
iajs-1817	78	10	n={1,	n={1,	NUM
iajs-1817	78	11	…	…	SYM
iajs-1817	78	12	,n	,n	NOUN
iajs-1817	78	13	}	}	PUNCT
iajs-1817	78	14	,	,	PUNCT
iajs-1817	78	15	k=1	k=1	X
iajs-1817	78	16	,	,	PUNCT
iajs-1817	78	17	t=∑𝑷𝒊	t=∑𝑷𝒊	NOUN
iajs-1817	78	18	and	and	CCONJ
iajs-1817	78	19	σ	σ	NUM
iajs-1817	78	20	∅	∅	NOUN
iajs-1817	78	21	if	if	SCONJ
iajs-1817	78	22	∆	∆	PROPN
iajs-1817	78	23	𝐸	𝐸	PROPN
iajs-1817	78	24	(	(	PUNCT
iajs-1817	78	25	mst	mst	PROPN
iajs-1817	78	26	)	)	PUNCT
iajs-1817	78	27	go	go	VERB
iajs-1817	78	28	to	to	ADP
iajs-1817	78	29	step(11	step(11	NOUN
iajs-1817	78	30	)	)	PUNCT
iajs-1817	78	31	.	.	PUNCT
iajs-1817	79	1	step(8	step(8	NOUN
iajs-1817	79	2	):	):	PUNCT
iajs-1817	79	3	calculate	calculate	NOUN
iajs-1817	79	4	𝒓𝒊	𝒓𝒊	ADP
iajs-1817	79	5	=	=	NOUN
iajs-1817	79	6	max{𝒔𝒊	max{𝒔𝒊	ADP
iajs-1817	79	7	∆,0	∆,0	NOUN
iajs-1817	79	8	}	}	PUNCT
iajs-1817	79	9	∀	∀	NOUN
iajs-1817	79	10	i	i	PRON
iajs-1817	79	11	∈n	∈n	VERB
iajs-1817	79	12	.	.	PUNCT
iajs-1817	80	1	step(9	step(9	PROPN
iajs-1817	80	2	):	):	PUNCT
iajs-1817	80	3	find	find	VERB
iajs-1817	80	4	a	a	DET
iajs-1817	80	5	job	job	NOUN
iajs-1817	80	6	j	j	NOUN
iajs-1817	80	7	∈n	∈n	NOUN
iajs-1817	80	8	with	with	ADP
iajs-1817	80	9	min	min	NOUN
iajs-1817	80	10	𝒓𝒋	𝒓𝒋	VERB
iajs-1817	80	11	,	,	PUNCT
iajs-1817	80	12	𝒓𝒋	𝒓𝒋	VERB
iajs-1817	80	13	𝑪𝑲	𝑪𝑲	PROPN
iajs-1817	80	14	𝟏	𝟏	NUM
iajs-1817	80	15	and	and	CCONJ
iajs-1817	80	16	𝑷𝒋	𝑷𝒋	PROPN
iajs-1817	81	1	𝑷𝒊	𝑷𝒊	PROPN
iajs-1817	81	2	∀j	∀j	PROPN
iajs-1817	81	3	,	,	PUNCT
iajs-1817	81	4	i	i	PRON
iajs-1817	81	5	∈n	∈n	NOUN
iajs-1817	81	6	,	,	PUNCT
iajs-1817	81	7	𝐂𝟎=0	𝐂𝟎=0	PROPN
iajs-1817	81	8	(	(	PUNCT
iajs-1817	81	9	break	break	VERB
iajs-1817	81	10	tie	tie	NOUN
iajs-1817	81	11	with	with	ADP
iajs-1817	81	12	small	small	ADJ
iajs-1817	81	13	𝐬𝐣	𝐬𝐣	NOUN
iajs-1817	81	14	)	)	PUNCT
iajs-1817	81	15	assign	assign	VERB
iajs-1817	81	16	j	j	PROPN
iajs-1817	81	17	in	in	ADP
iajs-1817	81	18	position	position	NOUN
iajs-1817	81	19	k	k	PROPN
iajs-1817	81	20	of	of	ADP
iajs-1817	81	21	σ	σ	PROPN
iajs-1817	81	22	.	.	PROPN
iajs-1817	81	23	step(10	step(10	PROPN
iajs-1817	81	24	):	):	PUNCT
iajs-1817	81	25	set	set	VERB
iajs-1817	81	26	n	n	CCONJ
iajs-1817	81	27	=	=	PROPN
iajs-1817	81	28	n-{j	n-{j	PROPN
iajs-1817	81	29	}	}	PUNCT
iajs-1817	81	30	,	,	PUNCT
iajs-1817	82	1	k	k	X
iajs-1817	82	2	=	=	X
iajs-1817	82	3	k+1	k+1	X
iajs-1817	82	4	,	,	PUNCT
iajs-1817	82	5	if	if	SCONJ
iajs-1817	82	6	k	k	PROPN
iajs-1817	82	7	n	n	CCONJ
iajs-1817	82	8	go	go	VERB
iajs-1817	82	9	to	to	ADP
iajs-1817	82	10	step(9	step(9	PROPN
iajs-1817	82	11	)	)	PUNCT
iajs-1817	82	12	for	for	ADP
iajs-1817	82	13	the	the	DET
iajs-1817	82	14	ruslting	ruslte	VERB
iajs-1817	82	15	sequence	sequence	NOUN
iajs-1817	82	16	σ	σ	PROPN
iajs-1817	82	17	σ	σ	PROPN
iajs-1817	82	18	1	1	NUM
iajs-1817	82	19	,	,	PUNCT
iajs-1817	82	20	…	…	PUNCT
iajs-1817	82	21	σ	σ	NOUN
iajs-1817	82	22	𝑛	𝑛	PRON
iajs-1817	82	23	calculate	calculate	NOUN
iajs-1817	82	24	(	(	PUNCT
iajs-1817	82	25	∑c	∑c	PROPN
iajs-1817	82	26	σ	σ	NOUN
iajs-1817	82	27	,	,	PUNCT
iajs-1817	82	28	∑t	∑t	PROPN
iajs-1817	82	29	σ	σ	PROPN
iajs-1817	82	30	,	,	PUNCT
iajs-1817	82	31	∑e	∑e	PROPN
iajs-1817	82	32	σ	σ	PROPN
iajs-1817	82	33	,	,	PUNCT
iajs-1817	82	34	t	t	PROPN
iajs-1817	82	35	σ	σ	PROPN
iajs-1817	82	36	,	,	PUNCT
iajs-1817	82	37	e	e	PROPN
iajs-1817	82	38	σ	σ	PROPN
iajs-1817	82	39	and	and	CCONJ
iajs-1817	82	40	go	go	VERB
iajs-1817	82	41	to	to	ADP
iajs-1817	82	42	step(7	step(7	ADV
iajs-1817	82	43	)	)	PUNCT
iajs-1817	82	44	.	.	PUNCT
iajs-1817	83	1	step(11	step(11	NOUN
iajs-1817	83	2	):	):	PUNCT
iajs-1817	83	3	stop	stop	VERB
iajs-1817	83	4	with	with	ADP
iajs-1817	83	5	a	a	DET
iajs-1817	83	6	set	set	NOUN
iajs-1817	83	7	of	of	ADP
iajs-1817	83	8	efficient	efficient	ADJ
iajs-1817	83	9	solutions	solution	NOUN
iajs-1817	83	10	(	(	PUNCT
iajs-1817	83	11	sa	sa	NOUN
iajs-1817	83	12	)	)	PUNCT
iajs-1817	83	13	.	.	PUNCT
iajs-1817	84	1	example	example	NOUN
iajs-1817	84	2	(	(	PUNCT
iajs-1817	84	3	2	2	NUM
iajs-1817	84	4	):	):	PUNCT
iajs-1817	84	5	consider	consider	VERB
iajs-1817	84	6	the	the	DET
iajs-1817	84	7	problem	problem	NOUN
iajs-1817	84	8	(	(	PUNCT
iajs-1817	84	9	p	p	NOUN
iajs-1817	84	10	)	)	PUNCT
iajs-1817	84	11	with	with	ADP
iajs-1817	84	12	the	the	DET
iajs-1817	84	13	following	follow	VERB
iajs-1817	84	14	data	data	NOUN
iajs-1817	84	15	:	:	PUNCT
iajs-1817	84	16	pi=(3,4,8,7	pi=(3,4,8,7	PROPN
iajs-1817	84	17	)	)	PUNCT
iajs-1817	84	18	,	,	PUNCT
iajs-1817	84	19	di=(12,4,10,7	di=(12,4,10,7	PROPN
iajs-1817	84	20	)	)	PUNCT
iajs-1817	84	21	.	.	PUNCT
iajs-1817	85	1	the	the	DET
iajs-1817	85	2	result	result	NOUN
iajs-1817	85	3	of	of	ADP
iajs-1817	85	4	efficient	efficient	ADJ
iajs-1817	85	5	solutions	solution	NOUN
iajs-1817	85	6	for	for	ADP
iajs-1817	85	7	example	example	NOUN
iajs-1817	85	8	(	(	PUNCT
iajs-1817	85	9	2	2	NUM
iajs-1817	85	10	)	)	PUNCT
iajs-1817	85	11	by	by	ADP
iajs-1817	85	12	cem	cem	NOUN
iajs-1817	85	13	and	and	CCONJ
iajs-1817	85	14	algorithm	algorithm	PROPN
iajs-1817	85	15	ap	ap	PROPN
iajs-1817	85	16	.	.	PUNCT
iajs-1817	86	1	efficient	efficient	ADJ
iajs-1817	86	2	solutions	solution	NOUN
iajs-1817	86	3	for	for	ADP
iajs-1817	86	4	problem	problem	NOUN
iajs-1817	86	5	(	(	PUNCT
iajs-1817	86	6	p	p	NOUN
iajs-1817	86	7	)	)	PUNCT
iajs-1817	86	8	cem	cem	NOUN
iajs-1817	86	9	alg.(ap	alg.(ap	PROPN
iajs-1817	86	10	)	)	PUNCT
iajs-1817	86	11	∑𝐶	∑𝐶	PROPN
iajs-1817	86	12	∑𝑇	∑𝑇	PROPN
iajs-1817	86	13	∑𝐸	∑𝐸	PROPN
iajs-1817	86	14	𝑇	𝑇	PROPN
iajs-1817	86	15	𝐸	𝐸	PROPN
iajs-1817	86	16	sum	sum	NOUN
iajs-1817	86	17	(	(	PUNCT
iajs-1817	86	18	1,2,4,3	1,2,4,3	NUM
iajs-1817	86	19	)	)	PUNCT
iajs-1817	86	20	(	(	PUNCT
iajs-1817	86	21	1,2,4,3	1,2,4,3	NUM
iajs-1817	86	22	)	)	PUNCT
iajs-1817	86	23	46	46	NUM
iajs-1817	86	24	22	22	NUM
iajs-1817	86	25	9	9	NUM
iajs-1817	86	26	12	12	NUM
iajs-1817	86	27	9	9	NUM
iajs-1817	86	28	98	98	NUM
iajs-1817	86	29	(	(	PUNCT
iajs-1817	86	30	2,4,1,3	2,4,1,3	NUM
iajs-1817	86	31	)	)	PUNCT
iajs-1817	86	32	(	(	PUNCT
iajs-1817	86	33	2,4,1,3	2,4,1,3	NUM
iajs-1817	86	34	)	)	PUNCT
iajs-1817	86	35	51	51	NUM
iajs-1817	86	36	18	18	NUM
iajs-1817	86	37	0	0	NUM
iajs-1817	86	38	12	12	NUM
iajs-1817	86	39	0	0	NUM
iajs-1817	86	40	81	81	NUM
iajs-1817	86	41	(	(	PUNCT
iajs-1817	86	42	2,4,3,1	2,4,3,1	NUM
iajs-1817	86	43	)	)	PUNCT
iajs-1817	86	44	(	(	PUNCT
iajs-1817	86	45	2,4,3,1	2,4,3,1	NUM
iajs-1817	86	46	)	)	PUNCT
iajs-1817	86	47	56	56	NUM
iajs-1817	86	48	23	23	NUM
iajs-1817	86	49	0	0	NUM
iajs-1817	86	50	10	10	NUM
iajs-1817	86	51	0	0	NUM
iajs-1817	86	52	89	89	NUM
iajs-1817	86	53	(	(	PUNCT
iajs-1817	86	54	2,1,4,3	2,1,4,3	NUM
iajs-1817	86	55	)	)	PUNCT
iajs-1817	86	56	(	(	PUNCT
iajs-1817	86	57	2,1,4,3	2,1,4,3	NUM
iajs-1817	86	58	)	)	PUNCT
iajs-1817	86	59	47	47	NUM
iajs-1817	86	60	19	19	NUM
iajs-1817	86	61	5	5	NUM
iajs-1817	86	62	13	13	NUM
iajs-1817	86	63	5	5	NUM
iajs-1817	86	64	89	89	NUM
iajs-1817	86	65	in	in	ADP
iajs-1817	86	66	this	this	DET
iajs-1817	86	67	example	example	NOUN
iajs-1817	86	68	we	we	PRON
iajs-1817	86	69	find	find	VERB
iajs-1817	86	70	all	all	DET
iajs-1817	86	71	efficient	efficient	ADJ
iajs-1817	86	72	schedules	schedule	NOUN
iajs-1817	86	73	,	,	PUNCT
iajs-1817	86	74	and	and	CCONJ
iajs-1817	86	75	sum	sum	NOUN
iajs-1817	86	76	is	be	AUX
iajs-1817	86	77	the	the	DET
iajs-1817	86	78	optimal	optimal	ADJ
iajs-1817	86	79	sum	sum	NOUN
iajs-1817	86	80	of	of	ADP
iajs-1817	86	81	(	(	PUNCT
iajs-1817	86	82	∑𝐶	∑𝐶	PROPN
iajs-1817	86	83	𝜎	𝜎	PROPN
iajs-1817	86	84	,	,	PUNCT
iajs-1817	86	85	∑𝑇	∑𝑇	PROPN
iajs-1817	86	86	𝜎	𝜎	PROPN
iajs-1817	86	87	,	,	PUNCT
iajs-1817	86	88	∑𝐸	∑𝐸	PROPN
iajs-1817	86	89	𝜎	𝜎	PROPN
iajs-1817	86	90	,	,	PUNCT
iajs-1817	86	91	𝑇	𝑇	PROPN
iajs-1817	86	92	𝜎	𝜎	PROPN
iajs-1817	86	93	,	,	PUNCT
iajs-1817	86	94	𝐸	𝐸	PROPN
iajs-1817	86	95	𝜎	𝜎	NOUN
iajs-1817	87	1	=	=	NUM
iajs-1817	87	2	81	81	NUM
iajs-1817	87	3	3sub	3sub	NOUN
iajs-1817	87	4	-	-	NOUN
iajs-1817	87	5	problems	problem	NOUN
iajs-1817	87	6	of	of	ADP
iajs-1817	87	7	the	the	DET
iajs-1817	87	8	multicriteria	multicriteria	PROPN
iajs-1817	87	9	problem	problem	NOUN
iajs-1817	87	10	(	(	PUNCT
iajs-1817	87	11	p	p	NOUN
iajs-1817	87	12	)	)	PUNCT
iajs-1817	87	13	decomposition	decomposition	NOUN
iajs-1817	87	14	of	of	ADP
iajs-1817	87	15	the	the	DET
iajs-1817	87	16	problem	problem	NOUN
iajs-1817	87	17	(	(	PUNCT
iajs-1817	87	18	p	p	NOUN
iajs-1817	87	19	)	)	PUNCT
iajs-1817	87	20	is	be	AUX
iajs-1817	87	21	a	a	DET
iajs-1817	87	22	general	general	ADJ
iajs-1817	87	23	approach	approach	NOUN
iajs-1817	87	24	for	for	ADP
iajs-1817	87	25	solving	solve	VERB
iajs-1817	87	26	a	a	DET
iajs-1817	87	27	problem	problem	NOUN
iajs-1817	87	28	by	by	ADP
iajs-1817	87	29	breaking	break	VERB
iajs-1817	87	30	it	it	PRON
iajs-1817	87	31	up	up	ADP
iajs-1817	87	32	into	into	ADP
iajs-1817	87	33	smaller	small	ADJ
iajs-1817	87	34	ones	one	NOUN
iajs-1817	87	35	.	.	PUNCT
iajs-1817	88	1	it	it	PRON
iajs-1817	88	2	is	be	AUX
iajs-1817	88	3	clear	clear	ADJ
iajs-1817	88	4	that	that	SCONJ
iajs-1817	88	5	this	this	DET
iajs-1817	88	6	decomposition	decomposition	NOUN
iajs-1817	88	7	has	have	VERB
iajs-1817	88	8	the	the	DET
iajs-1817	88	9	following	follow	VERB
iajs-1817	88	10	properties	property	NOUN
iajs-1817	88	11	:	:	PUNCT
iajs-1817	88	12	first	first	ADV
iajs-1817	88	13	all	all	DET
iajs-1817	88	14	the	the	DET
iajs-1817	88	15	subproblems	subproblem	NOUN
iajs-1817	88	16	have	have	AUX
iajs-1817	88	17	simpler	simple	ADJ
iajs-1817	88	18	structure	structure	NOUN
iajs-1817	88	19	than	than	ADP
iajs-1817	88	20	the	the	DET
iajs-1817	88	21	multicriteria	multicriteria	PROPN
iajs-1817	88	22	problem	problem	NOUN
iajs-1817	88	23	(	(	PUNCT
iajs-1817	88	24	p	p	NOUN
iajs-1817	88	25	)	)	PUNCT
iajs-1817	88	26	.	.	PUNCT
iajs-1817	89	1	second	second	ADV
iajs-1817	89	2	all	all	DET
iajs-1817	89	3	the	the	DET
iajs-1817	89	4	subproblems	subproblem	NOUN
iajs-1817	89	5	are	be	AUX
iajs-1817	89	6	np	np	INTJ
iajs-1817	89	7	-	-	PUNCT
iajs-1817	89	8	hard	hard	ADJ
iajs-1817	89	9	(	(	PUNCT
iajs-1817	89	10	except	except	SCONJ
iajs-1817	89	11	(	(	PUNCT
iajs-1817	89	12	p2	p2	PROPN
iajs-1817	89	13	)	)	PUNCT
iajs-1817	89	14	and	and	CCONJ
iajs-1817	89	15	(	(	PUNCT
iajs-1817	89	16	p3	p3	PROPN
iajs-1817	89	17	)	)	PUNCT
iajs-1817	89	18	are	be	AUX
iajs-1817	89	19	solved	solve	VERB
iajs-1817	89	20	by	by	ADP
iajs-1817	89	21	pseudo	pseudo	NOUN
iajs-1817	89	22	algorithms	algorithm	NOUN
iajs-1817	89	23	)	)	PUNCT
iajs-1817	89	24	and	and	CCONJ
iajs-1817	89	25	some	some	PRON
iajs-1817	89	26	of	of	ADP
iajs-1817	89	27	them	they	PRON
iajs-1817	89	28	are	be	AUX
iajs-1817	89	29	studied	study	VERB
iajs-1817	89	30	by	by	ADP
iajs-1817	89	31	some	some	DET
iajs-1817	89	32	researchers	researcher	NOUN
iajs-1817	89	33	,	,	PUNCT
iajs-1817	89	34	such	such	ADJ
iajs-1817	89	35	as	as	ADP
iajs-1817	89	36	(	(	PUNCT
iajs-1817	89	37	p4	p4	ADJ
iajs-1817	89	38	,	,	PUNCT
iajs-1817	89	39	p7	p7	NOUN
iajs-1817	89	40	,	,	PUNCT
iajs-1817	89	41	p8	p8	PROPN
iajs-1817	89	42	,	,	PUNCT
iajs-1817	89	43	p12	p12	ADJ
iajs-1817	89	44	,	,	PUNCT
iajs-1817	89	45	p13	p13	NOUN
iajs-1817	89	46	,	,	PUNCT
iajs-1817	89	47	p18	p18	NOUN
iajs-1817	89	48	,	,	PUNCT
iajs-1817	89	49	p19	p19	NOUN
iajs-1817	89	50	)	)	PUNCT
iajs-1817	89	51	from	from	ADP
iajs-1817	89	52	the	the	DET
iajs-1817	89	53	problem	problem	NOUN
iajs-1817	89	54	p	p	X
iajs-1817	89	55	we	we	PRON
iajs-1817	89	56	can	can	AUX
iajs-1817	89	57	get	get	VERB
iajs-1817	89	58	the	the	DET
iajs-1817	89	59	following	follow	VERB
iajs-1817	89	60	subproblems	subproblem	NOUN
iajs-1817	89	61	:	:	PUNCT
iajs-1817	89	62	ihsciconf	ihsciconf	NOUN
iajs-1817	89	63	2017	2017	NUM
iajs-1817	89	64	special	special	ADJ
iajs-1817	89	65	issue	issue	NOUN
iajs-1817	89	66	ibn	ibn	PROPN
iajs-1817	89	67	al	al	PROPN
iajs-1817	89	68	-	-	PUNCT
iajs-1817	89	69	haitham	haitham	PROPN
iajs-1817	89	70	journal	journal	PROPN
iajs-1817	89	71	for	for	ADP
iajs-1817	89	72	pure	pure	ADJ
iajs-1817	89	73	and	and	CCONJ
iajs-1817	89	74	applied	apply	VERB
iajs-1817	89	75	science	science	NOUN
iajs-1817	89	76	https://doi.org/	https://doi.org/	NOUN
iajs-1817	89	77	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	89	78	for	for	ADP
iajs-1817	89	79	more	more	ADJ
iajs-1817	89	80	information	information	NOUN
iajs-1817	89	81	about	about	ADP
iajs-1817	89	82	the	the	DET
iajs-1817	89	83	conference	conference	NOUN
iajs-1817	89	84	please	please	INTJ
iajs-1817	89	85	visit	visit	VERB
iajs-1817	89	86	the	the	DET
iajs-1817	89	87	websites	website	NOUN
iajs-1817	89	88	:	:	PUNCT
iajs-1817	90	1	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	90	2	   	   	SPACE
iajs-1817	90	3	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1817	90	4	   	   	SPACE
iajs-1817	90	5	mathematics|441	mathematics|441	NOUN
iajs-1817	90	6	    	    	SPACE
iajs-1817	90	7	1	1	NUM
iajs-1817	90	8	)	)	PUNCT
iajs-1817	90	9	1//(∑𝐸	1//(∑𝐸	NUM
iajs-1817	90	10	,	,	PUNCT
iajs-1817	90	11	𝑇	𝑇	PROPN
iajs-1817	90	12	,	,	PUNCT
iajs-1817	90	13	𝐸	𝐸	PROPN
iajs-1817	90	14	…	…	PUNCT
iajs-1817	90	15	𝑃1	𝑃1	NOUN
iajs-1817	90	16	2	2	NUM
iajs-1817	90	17	)	)	PUNCT
iajs-1817	90	18	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	90	19	,	,	PUNCT
iajs-1817	90	20	𝑇	𝑇	PROPN
iajs-1817	90	21	…	…	PUNCT
iajs-1817	90	22	𝑃2	𝑃2	NOUN
iajs-1817	90	23	3	3	NUM
iajs-1817	90	24	)	)	PUNCT
iajs-1817	90	25	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	90	26	,	,	PUNCT
iajs-1817	90	27	𝐸	𝐸	PROPN
iajs-1817	90	28	…	…	PUNCT
iajs-1817	90	29	𝑃3	𝑃3	NOUN
iajs-1817	90	30	4	4	NUM
iajs-1817	90	31	)	)	PUNCT
iajs-1817	90	32	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	90	33	,	,	PUNCT
iajs-1817	90	34	∑𝑇	∑𝑇	PROPN
iajs-1817	90	35	…	…	PUNCT
iajs-1817	90	36	p4	p4	ADJ
iajs-1817	90	37	5	5	NUM
iajs-1817	90	38	)	)	PUNCT
iajs-1817	90	39	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	90	40	,	,	PUNCT
iajs-1817	90	41	∑𝐸	∑𝐸	PROPN
iajs-1817	90	42	…	…	PUNCT
iajs-1817	90	43	𝑃5	𝑃5	NOUN
iajs-1817	90	44	6	6	NUM
iajs-1817	90	45	)	)	PUNCT
iajs-1817	90	46	1//(∑𝑇	1//(∑𝑇	PROPN
iajs-1817	90	47	,	,	PUNCT
iajs-1817	90	48	∑𝐸	∑𝐸	PROPN
iajs-1817	90	49	…	…	PROPN
iajs-1817	90	50	𝑃6	𝑃6	NOUN
iajs-1817	90	51	7	7	NUM
iajs-1817	90	52	)	)	PUNCT
iajs-1817	90	53	1//(𝑇	1//(𝑇	NOUN
iajs-1817	90	54	,	,	PUNCT
iajs-1817	90	55	𝐸	𝐸	PROPN
iajs-1817	90	56	…	…	SYM
iajs-1817	90	57	𝑃7	𝑃7	PROPN
iajs-1817	90	58	8)	8)	NUM
iajs-1817	90	59	1//(∑𝑇	1//(∑𝑇	PROPN
iajs-1817	90	60	,	,	PUNCT
iajs-1817	90	61	𝑇	𝑇	PROPN
iajs-1817	90	62	…	…	PUNCT
iajs-1817	90	63	𝑃8	𝑃8	NOUN
iajs-1817	90	64	9	9	NUM
iajs-1817	90	65	)	)	PUNCT
iajs-1817	90	66	1//(∑𝐸	1//(∑𝐸	NUM
iajs-1817	90	67	,	,	PUNCT
iajs-1817	90	68	𝐸	𝐸	PROPN
iajs-1817	90	69	…	…	SYM
iajs-1817	90	70	𝑃9	𝑃9	NOUN
iajs-1817	90	71	10	10	NUM
iajs-1817	90	72	)	)	PUNCT
iajs-1817	90	73	1//(∑𝐸	1//(∑𝐸	NUM
iajs-1817	90	74	,	,	PUNCT
iajs-1817	90	75	𝑇	𝑇	PROPN
iajs-1817	90	76	…	…	PUNCT
iajs-1817	90	77	𝑃10	𝑃10	PROPN
iajs-1817	90	78	11	11	NUM
iajs-1817	90	79	)	)	PUNCT
iajs-1817	90	80	1//	1//	NUM
iajs-1817	90	81	(	(	PUNCT
iajs-1817	90	82	∑𝑇	∑𝑇	PROPN
iajs-1817	90	83	,	,	PUNCT
iajs-1817	90	84	𝐸	𝐸	PROPN
iajs-1817	90	85	…	…	PUNCT
iajs-1817	90	86	𝑃11	𝑃11	PROPN
iajs-1817	90	87	12	12	NUM
iajs-1817	90	88	)	)	PUNCT
iajs-1817	90	89	1//(∑𝑇	1//(∑𝑇	PROPN
iajs-1817	90	90	,	,	PUNCT
iajs-1817	90	91	∑𝐸	∑𝐸	PROPN
iajs-1817	90	92	,	,	PUNCT
iajs-1817	90	93	𝑇	𝑇	PROPN
iajs-1817	90	94	,	,	PUNCT
iajs-1817	90	95	𝐸	𝐸	PROPN
iajs-1817	90	96	…	…	PUNCT
iajs-1817	90	97	𝑃12	𝑃12	X
iajs-1817	90	98	13	13	NUM
iajs-1817	90	99	)	)	PUNCT
iajs-1817	90	100	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	90	101	,	,	PUNCT
iajs-1817	90	102	∑𝑇	∑𝑇	PROPN
iajs-1817	90	103	,	,	PUNCT
iajs-1817	90	104	𝑇	𝑇	PROPN
iajs-1817	90	105	,	,	PUNCT
iajs-1817	90	106	𝐸	𝐸	PROPN
iajs-1817	90	107	…	…	PUNCT
iajs-1817	90	108	𝑃13	𝑃13	NOUN
iajs-1817	90	109	14	14	NUM
iajs-1817	90	110	)	)	PUNCT
iajs-1817	90	111	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	90	112	,	,	PUNCT
iajs-1817	90	113	∑𝐸	∑𝐸	PROPN
iajs-1817	90	114	,	,	PUNCT
iajs-1817	90	115	𝑇	𝑇	PROPN
iajs-1817	90	116	…	…	SYM
iajs-1817	90	117	𝑃14	𝑃14	PROPN
iajs-1817	90	118	15	15	NUM
iajs-1817	90	119	)	)	PUNCT
iajs-1817	90	120	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	90	121	,	,	PUNCT
iajs-1817	90	122	∑𝑇	∑𝑇	PROPN
iajs-1817	90	123	,	,	PUNCT
iajs-1817	90	124	𝐸	𝐸	PROPN
iajs-1817	90	125	…	…	PUNCT
iajs-1817	90	126	𝑃15	𝑃15	PROPN
iajs-1817	90	127	16	16	NUM
iajs-1817	90	128	)	)	PUNCT
iajs-1817	90	129	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	90	130	,	,	PUNCT
iajs-1817	90	131	∑𝑇	∑𝑇	PROPN
iajs-1817	90	132	,	,	PUNCT
iajs-1817	90	133	∑𝐸	∑𝐸	PROPN
iajs-1817	90	134	…	…	PROPN
iajs-1817	90	135	𝑃16	𝑃16	NOUN
iajs-1817	90	136	17	17	NUM
iajs-1817	90	137	)	)	PUNCT
iajs-1817	90	138	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	90	139	,	,	PUNCT
iajs-1817	90	140	𝑇	𝑇	PROPN
iajs-1817	90	141	,	,	PUNCT
iajs-1817	90	142	𝐸	𝐸	PROPN
iajs-1817	90	143	…	…	SYM
iajs-1817	90	144	𝑃17	𝑃17	PROPN
iajs-1817	90	145	18	18	NUM
iajs-1817	90	146	)	)	PUNCT
iajs-1817	90	147	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	90	148	,	,	PUNCT
iajs-1817	90	149	∑𝑇	∑𝑇	PROPN
iajs-1817	90	150	,	,	PUNCT
iajs-1817	90	151	𝑇	𝑇	PROPN
iajs-1817	90	152	…	…	PUNCT
iajs-1817	90	153	𝑃18	𝑃18	PROPN
iajs-1817	90	154	19	19	NUM
iajs-1817	90	155	)	)	PUNCT
iajs-1817	90	156	1//(∑𝐶	1//(∑𝐶	NUM
iajs-1817	90	157	,	,	PUNCT
iajs-1817	90	158	∑𝐸	∑𝐸	PROPN
iajs-1817	90	159	,	,	PUNCT
iajs-1817	90	160	𝐸	𝐸	PROPN
iajs-1817	90	161	…	…	PUNCT
iajs-1817	90	162	𝑃19	𝑃19	PROPN
iajs-1817	90	163	20	20	NUM
iajs-1817	90	164	)	)	PUNCT
iajs-1817	90	165	1//	1//	NUM
iajs-1817	90	166	(	(	PUNCT
iajs-1817	90	167	∑𝑇	∑𝑇	PROPN
iajs-1817	90	168	,	,	PUNCT
iajs-1817	90	169	𝑇	𝑇	PROPN
iajs-1817	90	170	,	,	PUNCT
iajs-1817	90	171	𝐸	𝐸	PROPN
iajs-1817	90	172	…	…	PUNCT
iajs-1817	90	173	𝑃20	𝑃20	VERB
iajs-1817	90	174	for	for	ADP
iajs-1817	90	175	the	the	DET
iajs-1817	90	176	sub	sub	NOUN
iajs-1817	90	177	-	-	NOUN
iajs-1817	90	178	problems	problem	NOUN
iajs-1817	90	179	from	from	ADP
iajs-1817	90	180	(	(	PUNCT
iajs-1817	90	181	p13	p13	NOUN
iajs-1817	90	182	to	to	ADP
iajs-1817	90	183	p17	p17	NOUN
iajs-1817	90	184	)	)	PUNCT
iajs-1817	90	185	we	we	PRON
iajs-1817	90	186	can	can	AUX
iajs-1817	90	187	use	use	VERB
iajs-1817	90	188	(	(	PUNCT
iajs-1817	90	189	ap	ap	INTJ
iajs-1817	90	190	)	)	PUNCT
iajs-1817	90	191	to	to	PART
iajs-1817	90	192	find	find	VERB
iajs-1817	90	193	approximate	approximate	ADJ
iajs-1817	90	194	set	set	NOUN
iajs-1817	90	195	of	of	ADP
iajs-1817	90	196	efficient	efficient	ADJ
iajs-1817	90	197	solutions	solution	NOUN
iajs-1817	90	198	.	.	PUNCT
iajs-1817	91	1	4the	4the	NUM
iajs-1817	91	2	1//	1//	NUM
iajs-1817	91	3	(	(	PUNCT
iajs-1817	91	4	∑𝑪𝒊	∑𝑪𝒊	PROPN
iajs-1817	91	5	∑𝑻𝒊	∑𝑻𝒊	PROPN
iajs-1817	91	6	∑𝑬𝒊	∑𝑬𝒊	PROPN
iajs-1817	91	7	𝑻𝒎𝒂𝒙	𝑻𝒎𝒂𝒙	PROPN
iajs-1817	91	8	𝑬𝒎𝒂𝒙	𝑬𝒎𝒂𝒙	PROPN
iajs-1817	91	9	)	)	PUNCT
iajs-1817	91	10	problem	problem	NOUN
iajs-1817	91	11	(	(	PUNCT
iajs-1817	91	12	sp	sp	NOUN
iajs-1817	91	13	)	)	PUNCT
iajs-1817	91	14	it	it	PRON
iajs-1817	91	15	is	be	AUX
iajs-1817	91	16	clear	clear	ADJ
iajs-1817	91	17	that	that	SCONJ
iajs-1817	91	18	the	the	DET
iajs-1817	91	19	problem	problem	NOUN
iajs-1817	91	20	(	(	PUNCT
iajs-1817	91	21	sp	sp	NOUN
iajs-1817	91	22	)	)	PUNCT
iajs-1817	91	23	is	be	AUX
iajs-1817	91	24	a	a	DET
iajs-1817	91	25	special	special	ADJ
iajs-1817	91	26	case	case	NOUN
iajs-1817	91	27	of	of	ADP
iajs-1817	91	28	the	the	DET
iajs-1817	91	29	problem	problem	NOUN
iajs-1817	91	30	(	(	PUNCT
iajs-1817	91	31	p	p	NOUN
iajs-1817	91	32	)	)	PUNCT
iajs-1817	91	33	.	.	PUNCT
iajs-1817	92	1	the	the	DET
iajs-1817	92	2	aim	aim	NOUN
iajs-1817	92	3	of	of	ADP
iajs-1817	92	4	this	this	DET
iajs-1817	92	5	problem	problem	NOUN
iajs-1817	92	6	is	be	AUX
iajs-1817	92	7	to	to	PART
iajs-1817	92	8	find	find	VERB
iajs-1817	92	9	the	the	DET
iajs-1817	92	10	minimum	minimum	ADJ
iajs-1817	92	11	value	value	NOUN
iajs-1817	92	12	of	of	ADP
iajs-1817	92	13	the	the	DET
iajs-1817	92	14	objective	objective	ADJ
iajs-1817	92	15	function	function	NOUN
iajs-1817	92	16	∑𝐶	∑𝐶	PROPN
iajs-1817	92	17	∑𝑇	∑𝑇	PROPN
iajs-1817	92	18	∑𝐸	∑𝐸	PROPN
iajs-1817	92	19	𝑇	𝑇	PROPN
iajs-1817	92	20	𝐸	𝐸	PROPN
iajs-1817	92	21	.	.	PUNCT
iajs-1817	93	1	this	this	DET
iajs-1817	93	2	problem	problem	NOUN
iajs-1817	93	3	is	be	AUX
iajs-1817	93	4	np	np	INTJ
iajs-1817	93	5	-	-	PUNCT
iajs-1817	93	6	hard	hard	ADJ
iajs-1817	93	7	and	and	CCONJ
iajs-1817	93	8	local	local	ADJ
iajs-1817	93	9	search	search	NOUN
iajs-1817	93	10	algorithms	algorithm	NOUN
iajs-1817	93	11	are	be	AUX
iajs-1817	93	12	used	use	VERB
iajs-1817	93	13	to	to	PART
iajs-1817	93	14	find	find	VERB
iajs-1817	93	15	its	its	PRON
iajs-1817	93	16	optimal	optimal	ADJ
iajs-1817	93	17	solution	solution	NOUN
iajs-1817	93	18	.	.	PUNCT
iajs-1817	94	1	this	this	DET
iajs-1817	94	2	problem	problem	NOUN
iajs-1817	94	3	can	can	AUX
iajs-1817	94	4	formally	formally	ADV
iajs-1817	94	5	be	be	AUX
iajs-1817	94	6	written	write	VERB
iajs-1817	94	7	for	for	ADP
iajs-1817	94	8	a	a	DET
iajs-1817	94	9	given	give	VERB
iajs-1817	94	10	schedule	schedule	NOUN
iajs-1817	94	11	s=(1,	s=(1,	NOUN
iajs-1817	94	12	…	…	PUNCT
iajs-1817	94	13	,n	,n	NOUN
iajs-1817	94	14	)	)	PUNCT
iajs-1817	94	15	as	as	ADP
iajs-1817	94	16	:	:	PUNCT
iajs-1817	94	17	𝑉	𝑉	PROPN
iajs-1817	94	18	𝑚𝑖𝑛	𝑚𝑖𝑛	NOUN
iajs-1817	94	19	∑𝐶	∑𝐶	PROPN
iajs-1817	94	20	∑𝑇	∑𝑇	PROPN
iajs-1817	94	21	∑𝐸	∑𝐸	PROPN
iajs-1817	94	22	𝑇	𝑇	PROPN
iajs-1817	94	23	𝐸	𝐸	PROPN
iajs-1817	94	24	𝑠.	𝑠.	NOUN
iajs-1817	94	25	𝑡.	𝑡.	NOUN
iajs-1817	94	26	𝐶	𝐶	PROPN
iajs-1817	94	27	𝑝	𝑝	PROPN
iajs-1817	94	28	𝑖	𝑖	SYM
iajs-1817	94	29	1	1	NUM
iajs-1817	94	30	,	,	PUNCT
iajs-1817	94	31	…	…	PUNCT
iajs-1817	94	32	,	,	PUNCT
iajs-1817	94	33	𝑛	𝑛	PROPN
iajs-1817	94	34	𝐶	𝐶	PROPN
iajs-1817	94	35	𝐶	𝐶	PROPN
iajs-1817	94	36	𝑝	𝑝	PROPN
iajs-1817	94	37	𝑖	𝑖	SYM
iajs-1817	94	38	2	2	NUM
iajs-1817	94	39	,	,	PUNCT
iajs-1817	94	40	…	…	PUNCT
iajs-1817	94	41	,	,	PUNCT
iajs-1817	94	42	𝑛	𝑛	DET
iajs-1817	94	43	𝑇	𝑇	PROPN
iajs-1817	94	44	𝐶	𝐶	PROPN
iajs-1817	94	45	𝑑	𝑑	PROPN
iajs-1817	94	46	𝑖	𝑖	PROPN
iajs-1817	94	47	1	1	NUM
iajs-1817	94	48	,	,	PUNCT
iajs-1817	94	49	…	…	PUNCT
iajs-1817	94	50	,	,	PUNCT
iajs-1817	94	51	𝑛	𝑛	DET
iajs-1817	94	52	𝑇	𝑇	PROPN
iajs-1817	94	53	0	0	NUM
iajs-1817	94	54	𝑖	𝑖	SYM
iajs-1817	94	55	1	1	NUM
iajs-1817	94	56	,	,	PUNCT
iajs-1817	94	57	…	…	PUNCT
iajs-1817	94	58	,	,	PUNCT
iajs-1817	94	59	𝑛	𝑛	DET
iajs-1817	94	60	𝐸	𝐸	PROPN
iajs-1817	94	61	𝑑	𝑑	PROPN
iajs-1817	94	62	𝐶	𝐶	PROPN
iajs-1817	94	63	𝑖	𝑖	PROPN
iajs-1817	94	64	1	1	NUM
iajs-1817	94	65	,	,	PUNCT
iajs-1817	94	66	…	…	PUNCT
iajs-1817	94	67	,	,	PUNCT
iajs-1817	94	68	𝑛	𝑛	PROPN
iajs-1817	94	69	𝐸	𝐸	PROPN
iajs-1817	94	70	0	0	NUM
iajs-1817	94	71	𝑖	𝑖	SYM
iajs-1817	94	72	1	1	NUM
iajs-1817	94	73	,	,	PUNCT
iajs-1817	94	74	…	…	PUNCT
iajs-1817	94	75	,	,	PUNCT
iajs-1817	94	76	𝑛	𝑛	DET
iajs-1817	94	77	⎭	⎭	PROPN
iajs-1817	94	78	⎪	⎪	NOUN
iajs-1817	94	79	⎪	⎪	NOUN
iajs-1817	94	80	⎬	⎬	PROPN
iajs-1817	94	81	⎪	⎪	NOUN
iajs-1817	94	82	⎪	⎪	NOUN
iajs-1817	94	83	⎫	⎫	PROPN
iajs-1817	94	84	…	…	PUNCT
iajs-1817	94	85	sp	sp	ADP
iajs-1817	94	86	the	the	DET
iajs-1817	94	87	aim	aim	NOUN
iajs-1817	94	88	for	for	ADP
iajs-1817	94	89	problem	problem	NOUN
iajs-1817	94	90	(	(	PUNCT
iajs-1817	94	91	sp	sp	NOUN
iajs-1817	94	92	)	)	PUNCT
iajs-1817	94	93	is	be	AUX
iajs-1817	94	94	to	to	PART
iajs-1817	94	95	find	find	VERB
iajs-1817	94	96	a	a	DET
iajs-1817	94	97	processing	processing	NOUN
iajs-1817	94	98	order	order	NOUN
iajs-1817	94	99	𝜎=(𝜎(1	𝜎=(𝜎(1	NOUN
iajs-1817	94	100	)	)	PUNCT
iajs-1817	94	101	,	,	PUNCT
iajs-1817	94	102	…	…	PUNCT
iajs-1817	94	103	,	,	PUNCT
iajs-1817	94	104	𝜎(2	𝜎(2	NOUN
iajs-1817	94	105	)	)	PUNCT
iajs-1817	94	106	)	)	PUNCT
iajs-1817	94	107	of	of	ADP
iajs-1817	94	108	the	the	DET
iajs-1817	94	109	jobs	job	NOUN
iajs-1817	94	110	on	on	ADP
iajs-1817	94	111	a	a	DET
iajs-1817	94	112	single	single	ADJ
iajs-1817	94	113	machine	machine	NOUN
iajs-1817	94	114	to	to	PART
iajs-1817	94	115	minimize	minimize	VERB
iajs-1817	94	116	the	the	DET
iajs-1817	94	117	sum	sum	NOUN
iajs-1817	94	118	of	of	ADP
iajs-1817	94	119	the	the	DET
iajs-1817	94	120	total	total	ADJ
iajs-1817	94	121	completion	completion	NOUN
iajs-1817	94	122	time	time	NOUN
iajs-1817	94	123	,	,	PUNCT
iajs-1817	95	1	total	total	ADJ
iajs-1817	95	2	tardiness	tardiness	NOUN
iajs-1817	95	3	,	,	PUNCT
iajs-1817	95	4	total	total	ADJ
iajs-1817	95	5	earliness	earliness	NOUN
iajs-1817	95	6	,	,	PUNCT
iajs-1817	95	7	the	the	DET
iajs-1817	95	8	maximum	maximum	ADJ
iajs-1817	95	9	tardiness	tardiness	NOUN
iajs-1817	95	10	and	and	CCONJ
iajs-1817	95	11	the	the	DET
iajs-1817	95	12	maximum	maximum	ADJ
iajs-1817	95	13	earliness	earliness	NOUN
iajs-1817	95	14	(	(	PUNCT
iajs-1817	95	15	∑𝐶	∑𝐶	PROPN
iajs-1817	95	16	∑𝑇	∑𝑇	PROPN
iajs-1817	95	17	∑𝐸	∑𝐸	PROPN
iajs-1817	95	18	𝑇	𝑇	PROPN
iajs-1817	95	19	𝜎	𝜎	PROPN
iajs-1817	95	20	𝐸	𝐸	NOUN
iajs-1817	95	21	𝜎	𝜎	PROPN
iajs-1817	95	22	)	)	PUNCT
iajs-1817	95	23	,	,	PUNCT
iajs-1817	95	24	for	for	ADP
iajs-1817	95	25	a	a	DET
iajs-1817	95	26	particular	particular	ADJ
iajs-1817	95	27	schedule	schedule	NOUN
iajs-1817	95	28	𝜎	𝜎	PROPN
iajs-1817	95	29	∈	∈	NOUN
iajs-1817	95	30	s	s	VERB
iajs-1817	95	31	where	where	SCONJ
iajs-1817	95	32	s	s	NOUN
iajs-1817	95	33	is	be	AUX
iajs-1817	95	34	the	the	DET
iajs-1817	95	35	set	set	NOUN
iajs-1817	95	36	of	of	ADP
iajs-1817	95	37	all	all	DET
iajs-1817	95	38	feasible	feasible	ADJ
iajs-1817	95	39	solutions	solution	NOUN
iajs-1817	95	40	.	.	PUNCT
iajs-1817	96	1	ihsciconf	ihsciconf	PROPN
iajs-1817	96	2	2017	2017	NUM
iajs-1817	96	3	special	special	ADJ
iajs-1817	96	4	issue	issue	NOUN
iajs-1817	96	5	ibn	ibn	PROPN
iajs-1817	96	6	al	al	PROPN
iajs-1817	96	7	-	-	PUNCT
iajs-1817	96	8	haitham	haitham	PROPN
iajs-1817	96	9	journal	journal	PROPN
iajs-1817	96	10	for	for	ADP
iajs-1817	96	11	pure	pure	ADJ
iajs-1817	96	12	and	and	CCONJ
iajs-1817	96	13	applied	apply	VERB
iajs-1817	96	14	science	science	NOUN
iajs-1817	96	15	https://doi.org/	https://doi.org/	NOUN
iajs-1817	96	16	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	96	17	for	for	ADP
iajs-1817	96	18	more	more	ADJ
iajs-1817	96	19	information	information	NOUN
iajs-1817	96	20	about	about	ADP
iajs-1817	96	21	the	the	DET
iajs-1817	96	22	conference	conference	NOUN
iajs-1817	96	23	please	please	INTJ
iajs-1817	96	24	visit	visit	VERB
iajs-1817	96	25	the	the	DET
iajs-1817	96	26	websites	website	NOUN
iajs-1817	96	27	:	:	PUNCT
iajs-1817	96	28	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	96	29	   	   	SPACE
iajs-1817	96	30	www.ihsciconf.org	www.ihsciconf.org	NOUN
iajs-1817	96	31	   	   	SPACE
iajs-1817	96	32	mathematics|442	mathematics|442	VERB
iajs-1817	96	33	    	    	SPACE
iajs-1817	96	34	3	3	NUM
iajs-1817	96	35	.	.	PUNCT
iajs-1817	96	36	computational	computational	ADJ
iajs-1817	96	37	experiments	experiment	NOUN
iajs-1817	96	38	3.1	3.1	NUM
iajs-1817	96	39	test	test	NOUN
iajs-1817	96	40	problems	problem	NOUN
iajs-1817	96	41	performance	performance	NOUN
iajs-1817	96	42	of	of	ADP
iajs-1817	96	43	the	the	DET
iajs-1817	96	44	algorithm	algorithm	NOUN
iajs-1817	96	45	(	(	PUNCT
iajs-1817	96	46	ap	ap	PROPN
iajs-1817	96	47	)	)	PUNCT
iajs-1817	96	48	for	for	ADP
iajs-1817	96	49	the	the	DET
iajs-1817	96	50	problem	problem	NOUN
iajs-1817	96	51	(	(	PUNCT
iajs-1817	96	52	p	p	NOUN
iajs-1817	96	53	)	)	PUNCT
iajs-1817	96	54	is	be	AUX
iajs-1817	96	55	compared	compare	VERB
iajs-1817	96	56	on	on	ADP
iajs-1817	96	57	5	5	NUM
iajs-1817	96	58	problem	problem	NOUN
iajs-1817	96	59	instances	instance	NOUN
iajs-1817	96	60	for	for	ADP
iajs-1817	96	61	each	each	DET
iajs-1817	96	62	n	n	NOUN
iajs-1817	96	63	with	with	ADP
iajs-1817	96	64	the	the	DET
iajs-1817	96	65	complete	complete	ADJ
iajs-1817	96	66	enumeration	enumeration	NOUN
iajs-1817	96	67	method	method	NOUN
iajs-1817	96	68	(	(	PUNCT
iajs-1817	96	69	cem	cem	NOUN
iajs-1817	96	70	)	)	PUNCT
iajs-1817	96	71	.	.	PUNCT
iajs-1817	97	1	for	for	ADP
iajs-1817	97	2	each	each	DET
iajs-1817	97	3	job	job	NOUN
iajs-1817	97	4	j	j	PROPN
iajs-1817	97	5	,	,	PUNCT
iajs-1817	97	6	the	the	DET
iajs-1817	97	7	processing	processing	NOUN
iajs-1817	97	8	time	time	NOUN
iajs-1817	97	9	p	p	NOUN
iajs-1817	97	10	was	be	AUX
iajs-1817	97	11	uniformly	uniformly	ADV
iajs-1817	97	12	generated	generate	VERB
iajs-1817	97	13	from	from	ADP
iajs-1817	97	14	uniform	uniform	ADJ
iajs-1817	97	15	distribution	distribution	NOUN
iajs-1817	97	16	[	[	X
iajs-1817	97	17	1,10	1,10	NUM
iajs-1817	97	18	]	]	PUNCT
iajs-1817	97	19	.	.	PUNCT
iajs-1817	98	1	also	also	ADV
iajs-1817	98	2	,	,	PUNCT
iajs-1817	98	3	for	for	ADP
iajs-1817	98	4	each	each	DET
iajs-1817	98	5	job	job	NOUN
iajs-1817	98	6	j	j	PROPN
iajs-1817	98	7	,	,	PUNCT
iajs-1817	98	8	an	an	DET
iajs-1817	98	9	integer	integer	NOUN
iajs-1817	98	10	due	due	ADJ
iajs-1817	98	11	date	date	NOUN
iajs-1817	98	12	d	d	NOUN
iajs-1817	98	13	is	be	AUX
iajs-1817	98	14	generated	generate	VERB
iajs-1817	98	15	from	from	ADP
iajs-1817	98	16	the	the	DET
iajs-1817	98	17	uniform	uniform	ADJ
iajs-1817	98	18	distribution	distribution	NOUN
iajs-1817	98	19	[	[	X
iajs-1817	98	20	(	(	PUNCT
iajs-1817	98	21	1	1	NUM
iajs-1817	98	22	-	-	PUNCT
iajs-1817	98	23	tf	tf	NUM
iajs-1817	98	24	-	-	PUNCT
iajs-1817	98	25	rdd/2)tp,(1tf+rdd/2)tp	rdd/2)tp,(1tf+rdd/2)tp	NOUN
iajs-1817	98	26	]	]	PUNCT
iajs-1817	98	27	,	,	PUNCT
iajs-1817	98	28	where	where	SCONJ
iajs-1817	98	29	tp	tp	NOUN
iajs-1817	98	30	is	be	AUX
iajs-1817	98	31	the	the	DET
iajs-1817	98	32	total	total	ADJ
iajs-1817	98	33	processing	processing	NOUN
iajs-1817	98	34	times	time	NOUN
iajs-1817	98	35	of	of	ADP
iajs-1817	98	36	all	all	DET
iajs-1817	98	37	the	the	DET
iajs-1817	98	38	jobs	job	NOUN
iajs-1817	98	39	,	,	PUNCT
iajs-1817	98	40	tf	tf	PROPN
iajs-1817	98	41	is	be	AUX
iajs-1817	98	42	the	the	DET
iajs-1817	98	43	tardiness	tardiness	ADJ
iajs-1817	98	44	factor	factor	NOUN
iajs-1817	98	45	,	,	PUNCT
iajs-1817	98	46	and	and	CCONJ
iajs-1817	98	47	rdd	rdd	NOUN
iajs-1817	98	48	is	be	AUX
iajs-1817	98	49	the	the	DET
iajs-1817	98	50	relative	relative	ADJ
iajs-1817	98	51	range	range	NOUN
iajs-1817	98	52	of	of	ADP
iajs-1817	98	53	the	the	DET
iajs-1817	98	54	due	due	ADJ
iajs-1817	98	55	dates	date	NOUN
iajs-1817	98	56	.	.	PUNCT
iajs-1817	99	1	for	for	ADP
iajs-1817	99	2	the	the	DET
iajs-1817	99	3	two	two	NUM
iajs-1817	99	4	parameters	parameter	NOUN
iajs-1817	99	5	tf	tf	X
iajs-1817	99	6	and	and	CCONJ
iajs-1817	99	7	rdd	rdd	NOUN
iajs-1817	99	8	,	,	PUNCT
iajs-1817	99	9	the	the	DET
iajs-1817	99	10	values	value	NOUN
iajs-1817	99	11	0.2,0.4,0.6,0.8,1.0	0.2,0.4,0.6,0.8,1.0	NUM
iajs-1817	99	12	for	for	ADP
iajs-1817	99	13	tf	tf	INTJ
iajs-1817	99	14	and	and	CCONJ
iajs-1817	99	15	the	the	DET
iajs-1817	99	16	values	value	NOUN
iajs-1817	99	17	0.9,1.0	0.9,1.0	PROPN
iajs-1817	99	18	for	for	ADP
iajs-1817	99	19	rdd	rdd	NOUN
iajs-1817	99	20	are	be	AUX
iajs-1817	99	21	considered	consider	VERB
iajs-1817	99	22	.	.	PUNCT
iajs-1817	100	1	for	for	ADP
iajs-1817	100	2	each	each	DET
iajs-1817	100	3	selected	select	VERB
iajs-1817	100	4	value	value	NOUN
iajs-1817	100	5	of	of	ADP
iajs-1817	100	6	n	n	CCONJ
iajs-1817	100	7	,	,	PUNCT
iajs-1817	100	8	one	one	NUM
iajs-1817	100	9	problem	problem	NOUN
iajs-1817	100	10	is	be	AUX
iajs-1817	100	11	generated	generate	VERB
iajs-1817	100	12	for	for	ADP
iajs-1817	100	13	each	each	PRON
iajs-1817	100	14	of	of	ADP
iajs-1817	100	15	the	the	DET
iajs-1817	100	16	five	five	NUM
iajs-1817	100	17	values	value	NOUN
iajs-1817	100	18	of	of	ADP
iajs-1817	100	19	parameter	parameter	NOUN
iajs-1817	100	20	producing	produce	VERB
iajs-1817	100	21	5	5	NUM
iajs-1817	100	22	test	test	NOUN
iajs-1817	100	23	problems	problem	NOUN
iajs-1817	100	24	.	.	PUNCT
iajs-1817	101	1	3.2	3.2	NUM
iajs-1817	101	2	computational	computational	ADJ
iajs-1817	101	3	results	result	NOUN
iajs-1817	101	4	for	for	ADP
iajs-1817	101	5	the	the	DET
iajs-1817	101	6	problem	problem	NOUN
iajs-1817	101	7	(	(	PUNCT
iajs-1817	101	8	p	p	NOUN
iajs-1817	101	9	)	)	PUNCT
iajs-1817	101	10	in	in	ADP
iajs-1817	101	11	the	the	DET
iajs-1817	101	12	table	table	NOUN
iajs-1817	101	13	(	(	PUNCT
iajs-1817	101	14	1	1	NUM
iajs-1817	101	15	)	)	PUNCT
iajs-1817	101	16	and	and	CCONJ
iajs-1817	101	17	table	table	NOUN
iajs-1817	101	18	(	(	PUNCT
iajs-1817	101	19	2	2	X
iajs-1817	101	20	)	)	PUNCT
iajs-1817	101	21	we	we	PRON
iajs-1817	101	22	have	have	VERB
iajs-1817	101	23	:	:	PUNCT
iajs-1817	101	24	n	n	CCONJ
iajs-1817	101	25	:	:	PUNCT
iajs-1817	101	26	number	number	NOUN
iajs-1817	101	27	of	of	ADP
iajs-1817	101	28	jobs	job	NOUN
iajs-1817	101	29	ex	ex	NOUN
iajs-1817	101	30	:	:	PUNCT
iajs-1817	101	31	example	example	NOUN
iajs-1817	101	32	number	number	NOUN
iajs-1817	101	33	|cem|	|cem|	PROPN
iajs-1817	101	34	:	:	PUNCT
iajs-1817	101	35	the	the	DET
iajs-1817	101	36	cardinal	cardinal	ADJ
iajs-1817	101	37	number	number	NOUN
iajs-1817	101	38	(	(	PUNCT
iajs-1817	101	39	exact	exact	ADJ
iajs-1817	101	40	number	number	NOUN
iajs-1817	101	41	)	)	PUNCT
iajs-1817	101	42	of	of	ADP
iajs-1817	101	43	efficient	efficient	ADJ
iajs-1817	101	44	solutions	solution	NOUN
iajs-1817	101	45	obtained	obtain	VERB
iajs-1817	101	46	by	by	ADP
iajs-1817	101	47	complete	complete	ADJ
iajs-1817	101	48	enumeration	enumeration	NOUN
iajs-1817	101	49	method	method	NOUN
iajs-1817	101	50	(	(	PUNCT
iajs-1817	101	51	cem	cem	NOUN
iajs-1817	101	52	)	)	PUNCT
iajs-1817	101	53	.	.	PUNCT
iajs-1817	102	1	|alg	|alg	PROPN
iajs-1817	102	2	ap|	ap|	PROPN
iajs-1817	102	3	:	:	PUNCT
iajs-1817	102	4	the	the	DET
iajs-1817	102	5	cardinal	cardinal	ADJ
iajs-1817	102	6	number	number	NOUN
iajs-1817	102	7	(	(	PUNCT
iajs-1817	102	8	approximate	approximate	ADJ
iajs-1817	102	9	number	number	NOUN
iajs-1817	102	10	)	)	PUNCT
iajs-1817	102	11	of	of	ADP
iajs-1817	102	12	efficient	efficient	ADJ
iajs-1817	102	13	solutions	solution	NOUN
iajs-1817	102	14	obtained	obtain	VERB
iajs-1817	102	15	by	by	ADP
iajs-1817	102	16	algorithm	algorithm	NOUN
iajs-1817	102	17	(	(	PUNCT
iajs-1817	102	18	ap	ap	PROPN
iajs-1817	102	19	)	)	PUNCT
iajs-1817	102	20	.	.	PUNCT
iajs-1817	103	1	optimal	optimal	ADJ
iajs-1817	103	2	:	:	PUNCT
iajs-1817	103	3	the	the	DET
iajs-1817	103	4	optimal	optimal	ADJ
iajs-1817	103	5	value	value	NOUN
iajs-1817	103	6	of	of	ADP
iajs-1817	103	7	sum	sum	NOUN
iajs-1817	103	8	of	of	ADP
iajs-1817	103	9	(	(	PUNCT
iajs-1817	103	10	∑𝐶	∑𝐶	PROPN
iajs-1817	103	11	,	,	PUNCT
iajs-1817	103	12	∑𝑇	∑𝑇	PROPN
iajs-1817	103	13	,	,	PUNCT
iajs-1817	103	14	∑𝐸	∑𝐸	PROPN
iajs-1817	103	15	,	,	PUNCT
iajs-1817	103	16	𝑇	𝑇	PROPN
iajs-1817	103	17	,	,	PUNCT
iajs-1817	103	18	𝐸	𝐸	PROPN
iajs-1817	103	19	obtained	obtain	VERB
iajs-1817	103	20	by	by	ADP
iajs-1817	103	21	(	(	PUNCT
iajs-1817	103	22	cem	cem	NOUN
iajs-1817	103	23	)	)	PUNCT
iajs-1817	103	24	.	.	PUNCT
iajs-1817	104	1	best	good	ADJ
iajs-1817	104	2	:	:	PUNCT
iajs-1817	104	3	the	the	PRON
iajs-1817	104	4	optimal	optimal	ADJ
iajs-1817	104	5	or	or	CCONJ
iajs-1817	104	6	near	near	ADP
iajs-1817	104	7	optimal	optimal	ADJ
iajs-1817	104	8	of	of	ADP
iajs-1817	104	9	sum	sum	NOUN
iajs-1817	104	10	of	of	ADP
iajs-1817	104	11	(	(	PUNCT
iajs-1817	104	12	∑𝐶	∑𝐶	PROPN
iajs-1817	104	13	,	,	PUNCT
iajs-1817	104	14	∑𝑇	∑𝑇	PROPN
iajs-1817	104	15	,	,	PUNCT
iajs-1817	104	16	∑𝐸	∑𝐸	PROPN
iajs-1817	104	17	,	,	PUNCT
iajs-1817	104	18	𝑇	𝑇	PROPN
iajs-1817	104	19	,	,	PUNCT
iajs-1817	104	20	𝐸	𝐸	PROPN
iajs-1817	104	21	obtained	obtain	VERB
iajs-1817	104	22	by	by	ADP
iajs-1817	104	23	algorithm	algorithm	NOUN
iajs-1817	104	24	(	(	PUNCT
iajs-1817	104	25	ap	ap	PROPN
iajs-1817	104	26	)	)	PUNCT
iajs-1817	104	27	,	,	PUNCT
iajs-1817	104	28	for	for	ADP
iajs-1817	104	29	n	n	PROPN
iajs-1817	104	30	10	10	NUM
iajs-1817	104	31	and	and	CCONJ
iajs-1817	104	32	11	11	NUM
iajs-1817	104	33	n	n	NUM
iajs-1817	104	34	100	100	NUM
iajs-1817	104	35	respectively	respectively	ADV
iajs-1817	104	36	.	.	PUNCT
iajs-1817	105	1	ihsciconf	ihsciconf	PROPN
iajs-1817	105	2	2017	2017	NUM
iajs-1817	105	3	special	special	ADJ
iajs-1817	105	4	issue	issue	NOUN
iajs-1817	105	5	ibn	ibn	PROPN
iajs-1817	105	6	al	al	PROPN
iajs-1817	105	7	-	-	PUNCT
iajs-1817	105	8	haitham	haitham	PROPN
iajs-1817	105	9	journal	journal	PROPN
iajs-1817	105	10	for	for	ADP
iajs-1817	105	11	pure	pure	ADJ
iajs-1817	105	12	and	and	CCONJ
iajs-1817	105	13	applied	apply	VERB
iajs-1817	105	14	science	science	NOUN
iajs-1817	105	15	https://doi.org/	https://doi.org/	NOUN
iajs-1817	105	16	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	105	17	for	for	ADP
iajs-1817	105	18	more	more	ADJ
iajs-1817	105	19	information	information	NOUN
iajs-1817	105	20	about	about	ADP
iajs-1817	105	21	the	the	DET
iajs-1817	105	22	conference	conference	NOUN
iajs-1817	105	23	please	please	INTJ
iajs-1817	105	24	visit	visit	VERB
iajs-1817	105	25	the	the	DET
iajs-1817	105	26	websites	website	NOUN
iajs-1817	105	27	:	:	PUNCT
iajs-1817	105	28	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	105	29	   	   	SPACE
iajs-1817	105	30	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1817	105	31	   	   	SPACE
iajs-1817	105	32	mathematics|443	mathematics|443	ADJ
iajs-1817	105	33	    	    	SPACE
iajs-1817	105	34	table	table	NOUN
iajs-1817	105	35	(	(	PUNCT
iajs-1817	105	36	1	1	NUM
iajs-1817	105	37	):	):	PUNCT
iajs-1817	105	38	comparison	comparison	NOUN
iajs-1817	105	39	of	of	ADP
iajs-1817	105	40	number	number	NOUN
iajs-1817	105	41	of	of	ADP
iajs-1817	105	42	efficient	efficient	ADJ
iajs-1817	105	43	solutions	solution	NOUN
iajs-1817	105	44	of	of	ADP
iajs-1817	105	45	the	the	DET
iajs-1817	105	46	algorithm	algorithm	NOUN
iajs-1817	105	47	(	(	PUNCT
iajs-1817	105	48	ap	ap	PROPN
iajs-1817	105	49	)	)	PUNCT
iajs-1817	105	50	with	with	ADP
iajs-1817	105	51	(	(	PUNCT
iajs-1817	105	52	cem	cem	NOUN
iajs-1817	105	53	)	)	PUNCT
iajs-1817	105	54	for	for	ADP
iajs-1817	105	55	n	n	ADV
iajs-1817	105	56	10	10	NUM
iajs-1817	105	57	for	for	ADP
iajs-1817	105	58	the	the	DET
iajs-1817	105	59	problem	problem	NOUN
iajs-1817	105	60	(	(	PUNCT
iajs-1817	105	61	p	p	NOUN
iajs-1817	105	62	)	)	PUNCT
iajs-1817	105	63	.	.	PUNCT
iajs-1817	106	1	number	number	NOUN
iajs-1817	106	2	of	of	ADP
iajs-1817	106	3	efficient	efficient	ADJ
iajs-1817	106	4	solutions	solution	NOUN
iajs-1817	106	5	for	for	ADP
iajs-1817	106	6	(	(	PUNCT
iajs-1817	106	7	p	p	NOUN
iajs-1817	106	8	)	)	PUNCT
iajs-1817	106	9	n	n	NOUN
iajs-1817	106	10	ex	ex	NOUN
iajs-1817	106	11	|cem|	|cem|	NOUN
iajs-1817	106	12	optimal	optimal	ADJ
iajs-1817	106	13	time	time	NOUN
iajs-1817	106	14	|alg	|alg	PUNCT
iajs-1817	107	1	ap|	ap|	ADP
iajs-1817	107	2	best	good	ADJ
iajs-1817	107	3	time	time	NOUN
iajs-1817	107	4	4	4	NUM
iajs-1817	107	5	1	1	NUM
iajs-1817	107	6	8	8	NUM
iajs-1817	107	7	108	108	NUM
iajs-1817	107	8	0.1197	0.1197	NUM
iajs-1817	107	9	5	5	NUM
iajs-1817	107	10	108	108	NUM
iajs-1817	107	11	0.2221	0.2221	NUM
iajs-1817	107	12	2	2	NUM
iajs-1817	107	13	4	4	NUM
iajs-1817	107	14	138	138	NUM
iajs-1817	107	15	0.0126	0.0126	NUM
iajs-1817	107	16	4	4	NUM
iajs-1817	107	17	138	138	NUM
iajs-1817	107	18	0.0393	0.0393	NUM
iajs-1817	107	19	3	3	NUM
iajs-1817	107	20	9	9	NUM
iajs-1817	107	21	155	155	NUM
iajs-1817	107	22	0.0127	0.0127	NUM
iajs-1817	107	23	4	4	NUM
iajs-1817	107	24	155	155	NUM
iajs-1817	107	25	0.0813	0.0813	NUM
iajs-1817	107	26	4	4	NUM
iajs-1817	107	27	3	3	NUM
iajs-1817	107	28	83	83	NUM
iajs-1817	107	29	0.0071	0.0071	NUM
iajs-1817	107	30	2	2	NUM
iajs-1817	107	31	83	83	NUM
iajs-1817	107	32	0.669	0.669	NUM
iajs-1817	107	33	5	5	NUM
iajs-1817	107	34	10	10	NUM
iajs-1817	107	35	59	59	NUM
iajs-1817	107	36	0.0151	0.0151	NUM
iajs-1817	107	37	6	6	NUM
iajs-1817	107	38	59	59	NUM
iajs-1817	107	39	0.0107	0.0107	NUM
iajs-1817	107	40	no	no	NOUN
iajs-1817	107	41	.	.	PUNCT
iajs-1817	107	42	of	of	ADP
iajs-1817	107	43	opt	opt	PROPN
iajs-1817	107	44	.	.	PUNCT
iajs-1817	108	1	5	5	NUM
iajs-1817	108	2	5	5	NUM
iajs-1817	108	3	1	1	NUM
iajs-1817	108	4	18	18	NUM
iajs-1817	108	5	85	85	NUM
iajs-1817	108	6	0.1270	0.1270	NUM
iajs-1817	108	7	3	3	NUM
iajs-1817	108	8	85	85	NUM
iajs-1817	108	9	0.1340	0.1340	NUM
iajs-1817	108	10	2	2	NUM
iajs-1817	108	11	13	13	NUM
iajs-1817	108	12	140	140	NUM
iajs-1817	108	13	0.0299	0.0299	NUM
iajs-1817	108	14	7	7	NUM
iajs-1817	108	15	140	140	NUM
iajs-1817	108	16	0.2027	0.2027	NUM
iajs-1817	108	17	3	3	NUM
iajs-1817	108	18	43	43	NUM
iajs-1817	108	19	158	158	NUM
iajs-1817	108	20	0.0432	0.0432	NUM
iajs-1817	108	21	8	8	NUM
iajs-1817	108	22	158	158	NUM
iajs-1817	108	23	0.0401	0.0401	NUM
iajs-1817	108	24	4	4	NUM
iajs-1817	108	25	49	49	NUM
iajs-1817	108	26	107	107	NUM
iajs-1817	108	27	0.0463	0.0463	NUM
iajs-1817	108	28	11	11	NUM
iajs-1817	108	29	109	109	NUM
iajs-1817	108	30	0.0542	0.0542	NUM
iajs-1817	108	31	5	5	NUM
iajs-1817	108	32	8	8	NUM
iajs-1817	108	33	121	121	NUM
iajs-1817	108	34	0.0227	0.0227	NUM
iajs-1817	108	35	6	6	NUM
iajs-1817	108	36	121	121	NUM
iajs-1817	108	37	0.1525	0.1525	NUM
iajs-1817	108	38	no	no	INTJ
iajs-1817	108	39	.	.	PUNCT
iajs-1817	109	1	of	of	ADP
iajs-1817	109	2	opt	opt	PROPN
iajs-1817	109	3	.	.	PUNCT
iajs-1817	109	4	4	4	NUM
iajs-1817	109	5	6	6	NUM
iajs-1817	109	6	1	1	NUM
iajs-1817	109	7	41	41	NUM
iajs-1817	109	8	156	156	NUM
iajs-1817	109	9	0.2072	0.2072	NUM
iajs-1817	109	10	8	8	NUM
iajs-1817	109	11	156	156	NUM
iajs-1817	109	12	0.1808	0.1808	NUM
iajs-1817	109	13	2	2	NUM
iajs-1817	109	14	16	16	NUM
iajs-1817	109	15	152	152	NUM
iajs-1817	109	16	0.0953	0.0953	NUM
iajs-1817	109	17	3	3	NUM
iajs-1817	109	18	152	152	NUM
iajs-1817	109	19	0.0171	0.0171	NUM
iajs-1817	109	20	3	3	NUM
iajs-1817	109	21	52	52	NUM
iajs-1817	109	22	197	197	NUM
iajs-1817	109	23	0.1189	0.1189	NUM
iajs-1817	109	24	7	7	NUM
iajs-1817	109	25	197	197	NUM
iajs-1817	109	26	0.0322	0.0322	NUM
iajs-1817	109	27	4	4	NUM
iajs-1817	109	28	26	26	NUM
iajs-1817	109	29	193	193	NUM
iajs-1817	109	30	0.1147	0.1147	NUM
iajs-1817	109	31	8	8	NUM
iajs-1817	109	32	193	193	NUM
iajs-1817	109	33	0.138	0.138	NUM
iajs-1817	109	34	5	5	NUM
iajs-1817	109	35	40	40	NUM
iajs-1817	109	36	148	148	NUM
iajs-1817	109	37	0.1119	0.1119	NUM
iajs-1817	109	38	4	4	NUM
iajs-1817	109	39	148	148	NUM
iajs-1817	109	40	0.0394	0.0394	NUM
iajs-1817	109	41	no	no	NOUN
iajs-1817	109	42	.	.	PUNCT
iajs-1817	110	1	of	of	ADP
iajs-1817	110	2	opt	opt	PROPN
iajs-1817	110	3	.	.	PUNCT
iajs-1817	110	4	5	5	NUM
iajs-1817	110	5	7	7	NUM
iajs-1817	110	6	1	1	NUM
iajs-1817	110	7	64	64	NUM
iajs-1817	110	8	232	232	NUM
iajs-1817	110	9	9.4264	9.4264	NUM
iajs-1817	110	10	10	10	NUM
iajs-1817	110	11	232	232	NUM
iajs-1817	110	12	0.1539	0.1539	NUM
iajs-1817	110	13	2	2	NUM
iajs-1817	110	14	50	50	NUM
iajs-1817	110	15	206	206	NUM
iajs-1817	110	16	16.9584	16.9584	NUM
iajs-1817	110	17	3	3	NUM
iajs-1817	110	18	224	224	NUM
iajs-1817	110	19	0.1954	0.1954	NUM
iajs-1817	110	20	3	3	NUM
iajs-1817	110	21	58	58	NUM
iajs-1817	110	22	246	246	NUM
iajs-1817	110	23	10.7295	10.7295	NUM
iajs-1817	110	24	11	11	NUM
iajs-1817	110	25	246	246	NUM
iajs-1817	110	26	0.0499	0.0499	NUM
iajs-1817	110	27	4	4	NUM
iajs-1817	110	28	59	59	NUM
iajs-1817	110	29	226	226	NUM
iajs-1817	110	30	12.2096	12.2096	NUM
iajs-1817	110	31	9	9	NUM
iajs-1817	110	32	226	226	NUM
iajs-1817	110	33	0.0149	0.0149	NUM
iajs-1817	110	34	5	5	NUM
iajs-1817	110	35	55	55	NUM
iajs-1817	110	36	189	189	NUM
iajs-1817	110	37	88.6240	88.6240	NUM
iajs-1817	110	38	10	10	NUM
iajs-1817	110	39	191	191	NUM
iajs-1817	110	40	0.0605	0.0605	NUM
iajs-1817	110	41	no	no	INTJ
iajs-1817	110	42	.	.	PUNCT
iajs-1817	110	43	of	of	ADP
iajs-1817	110	44	opt	opt	PROPN
iajs-1817	110	45	.	.	PUNCT
iajs-1817	111	1	3	3	NUM
iajs-1817	111	2	8	8	NUM
iajs-1817	111	3	1	1	NUM
iajs-1817	111	4	112	112	NUM
iajs-1817	111	5	279	279	NUM
iajs-1817	111	6	4.7087	4.7087	NUM
iajs-1817	111	7	1	1	NUM
iajs-1817	111	8	299	299	NUM
iajs-1817	111	9	0.1011	0.1011	NUM
iajs-1817	111	10	2	2	NUM
iajs-1817	111	11	132	132	NUM
iajs-1817	111	12	265	265	NUM
iajs-1817	111	13	4.4248	4.4248	NUM
iajs-1817	111	14	3	3	NUM
iajs-1817	111	15	294	294	NUM
iajs-1817	111	16	0.2308	0.2308	NUM
iajs-1817	111	17	3	3	NUM
iajs-1817	111	18	81	81	NUM
iajs-1817	111	19	469	469	NUM
iajs-1817	111	20	4.7034	4.7034	NUM
iajs-1817	111	21	1	1	NUM
iajs-1817	111	22	518	518	NUM
iajs-1817	111	23	0.0054	0.0054	NUM
iajs-1817	111	24	4	4	NUM
iajs-1817	111	25	73	73	NUM
iajs-1817	111	26	343	343	NUM
iajs-1817	111	27	4.7177	4.7177	NUM
iajs-1817	111	28	6	6	NUM
iajs-1817	111	29	343	343	NUM
iajs-1817	111	30	0.0495	0.0495	NUM
iajs-1817	111	31	5	5	NUM
iajs-1817	111	32	67	67	NUM
iajs-1817	111	33	242	242	NUM
iajs-1817	111	34	4.9829	4.9829	NUM
iajs-1817	111	35	8	8	NUM
iajs-1817	111	36	242	242	NUM
iajs-1817	111	37	0.0311	0.0311	NUM
iajs-1817	111	38	no	no	INTJ
iajs-1817	111	39	.	.	PUNCT
iajs-1817	112	1	of	of	ADP
iajs-1817	112	2	opt	opt	PROPN
iajs-1817	112	3	.	.	PUNCT
iajs-1817	112	4	2	2	NUM
iajs-1817	112	5	9	9	NUM
iajs-1817	112	6	1	1	NUM
iajs-1817	112	7	74	74	NUM
iajs-1817	112	8	295	295	NUM
iajs-1817	112	9	39.5168	39.5168	NUM
iajs-1817	112	10	7	7	NUM
iajs-1817	112	11	306	306	NUM
iajs-1817	112	12	0.3677	0.3677	NUM
iajs-1817	112	13	2	2	NUM
iajs-1817	112	14	231	231	NUM
iajs-1817	112	15	249	249	NUM
iajs-1817	112	16	49.1618	49.1618	NUM
iajs-1817	112	17	10	10	NUM
iajs-1817	112	18	264	264	NUM
iajs-1817	112	19	0.1849	0.1849	NUM
iajs-1817	112	20	3	3	NUM
iajs-1817	112	21	139	139	NUM
iajs-1817	112	22	384	384	NUM
iajs-1817	112	23	44.8974	44.8974	NUM
iajs-1817	112	24	5	5	NUM
iajs-1817	112	25	493	493	NUM
iajs-1817	112	26	0.1562	0.1562	NUM
iajs-1817	112	27	4	4	NUM
iajs-1817	112	28	150	150	NUM
iajs-1817	112	29	325	325	NUM
iajs-1817	112	30	45.5338	45.5338	NUM
iajs-1817	112	31	2	2	NUM
iajs-1817	112	32	375	375	NUM
iajs-1817	112	33	0.0057	0.0057	NUM
iajs-1817	112	34	5	5	NUM
iajs-1817	112	35	205	205	NUM
iajs-1817	112	36	344	344	NUM
iajs-1817	112	37	43.6530	43.6530	NUM
iajs-1817	112	38	4	4	NUM
iajs-1817	112	39	381	381	NUM
iajs-1817	112	40	0.2455	0.2455	NUM
iajs-1817	112	41	no	no	INTJ
iajs-1817	112	42	.	.	PUNCT
iajs-1817	113	1	of	of	ADP
iajs-1817	113	2	opt	opt	PROPN
iajs-1817	113	3	.	.	PUNCT
iajs-1817	113	4	0	0	NUM
iajs-1817	114	1	10	10	NUM
iajs-1817	114	2	1	1	NUM
iajs-1817	114	3	345	345	NUM
iajs-1817	114	4	394	394	NUM
iajs-1817	114	5	493.0906	493.0906	NUM
iajs-1817	114	6	19	19	NUM
iajs-1817	114	7	394	394	NUM
iajs-1817	114	8	0.3128	0.3128	NUM
iajs-1817	114	9	2	2	NUM
iajs-1817	114	10	173	173	NUM
iajs-1817	114	11	292	292	NUM
iajs-1817	114	12	469.6615	469.6615	NUM
iajs-1817	114	13	13	13	NUM
iajs-1817	114	14	294	294	NUM
iajs-1817	114	15	0.2171	0.2171	NUM
iajs-1817	114	16	3	3	NUM
iajs-1817	114	17	129	129	NUM
iajs-1817	114	18	498	498	NUM
iajs-1817	114	19	497.8566	497.8566	NUM
iajs-1817	114	20	7	7	NUM
iajs-1817	114	21	498	498	NUM
iajs-1817	114	22	0.0446	0.0446	NUM
iajs-1817	114	23	4	4	NUM
iajs-1817	114	24	398	398	NUM
iajs-1817	114	25	414	414	NUM
iajs-1817	114	26	461.0331	461.0331	NUM
iajs-1817	114	27	5	5	NUM
iajs-1817	114	28	454	454	NUM
iajs-1817	114	29	0.1882	0.1882	NUM
iajs-1817	114	30	5	5	NUM
iajs-1817	114	31	126	126	NUM
iajs-1817	114	32	469	469	NUM
iajs-1817	114	33	485.5750	485.5750	NUM
iajs-1817	114	34	17	17	NUM
iajs-1817	114	35	469	469	NUM
iajs-1817	114	36	0.2051	0.2051	NUM
iajs-1817	114	37	no	no	NOUN
iajs-1817	114	38	.	.	PUNCT
iajs-1817	114	39	of	of	ADP
iajs-1817	114	40	opt	opt	PROPN
iajs-1817	114	41	.	.	PUNCT
iajs-1817	115	1	3	3	NUM
iajs-1817	115	2	ihsciconf	ihsciconf	PROPN
iajs-1817	115	3	2017	2017	NUM
iajs-1817	115	4	special	special	ADJ
iajs-1817	115	5	issue	issue	NOUN
iajs-1817	115	6	ibn	ibn	PROPN
iajs-1817	115	7	al	al	PROPN
iajs-1817	115	8	-	-	PUNCT
iajs-1817	115	9	haitham	haitham	PROPN
iajs-1817	115	10	journal	journal	PROPN
iajs-1817	115	11	for	for	ADP
iajs-1817	115	12	pure	pure	ADJ
iajs-1817	115	13	and	and	CCONJ
iajs-1817	115	14	applied	apply	VERB
iajs-1817	115	15	science	science	NOUN
iajs-1817	115	16	https://doi.org/	https://doi.org/	NOUN
iajs-1817	115	17	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	115	18	for	for	ADP
iajs-1817	115	19	more	more	ADJ
iajs-1817	115	20	information	information	NOUN
iajs-1817	115	21	about	about	ADP
iajs-1817	115	22	the	the	DET
iajs-1817	115	23	conference	conference	NOUN
iajs-1817	115	24	please	please	INTJ
iajs-1817	115	25	visit	visit	VERB
iajs-1817	115	26	the	the	DET
iajs-1817	115	27	websites	website	NOUN
iajs-1817	115	28	:	:	PUNCT
iajs-1817	115	29	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	115	30	   	   	SPACE
iajs-1817	115	31	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1817	115	32	   	   	SPACE
iajs-1817	115	33	mathematics|444	mathematics|444	NOUN
iajs-1817	115	34	    	    	SPACE
iajs-1817	115	35	table	table	NOUN
iajs-1817	115	36	(	(	PUNCT
iajs-1817	115	37	2	2	NUM
iajs-1817	115	38	):	):	PUNCT
iajs-1817	115	39	the	the	DET
iajs-1817	115	40	results	result	NOUN
iajs-1817	115	41	of	of	ADP
iajs-1817	115	42	approximate	approximate	ADJ
iajs-1817	115	43	efficient	efficient	ADJ
iajs-1817	115	44	solutions	solution	NOUN
iajs-1817	115	45	obtained	obtain	VERB
iajs-1817	115	46	by	by	ADP
iajs-1817	115	47	using	use	VERB
iajs-1817	115	48	algorithm	algorithm	NOUN
iajs-1817	115	49	(	(	PUNCT
iajs-1817	115	50	ap	ap	PROPN
iajs-1817	115	51	)	)	PUNCT
iajs-1817	115	52	when	when	SCONJ
iajs-1817	115	53	11	11	NUM
iajs-1817	115	54	n	n	SYM
iajs-1817	115	55	100	100	NUM
iajs-1817	115	56	for	for	ADP
iajs-1817	115	57	the	the	DET
iajs-1817	115	58	problem	problem	NOUN
iajs-1817	115	59	(	(	PUNCT
iajs-1817	115	60	p	p	NOUN
iajs-1817	115	61	)	)	PUNCT
iajs-1817	115	62	.	.	PUNCT
iajs-1817	116	1	number	number	NOUN
iajs-1817	116	2	of	of	ADP
iajs-1817	116	3	efficient	efficient	ADJ
iajs-1817	116	4	solutions	solution	NOUN
iajs-1817	116	5	for	for	ADP
iajs-1817	116	6	(	(	PUNCT
iajs-1817	116	7	p	p	NOUN
iajs-1817	116	8	)	)	PUNCT
iajs-1817	116	9	n	n	NOUN
iajs-1817	116	10	ex	ex	NOUN
iajs-1817	116	11	best	good	ADJ
iajs-1817	116	12	|alg	|alg	PUNCT
iajs-1817	117	1	ap|	ap|	ADJ
iajs-1817	117	2	time	time	NOUN
iajs-1817	117	3	n	n	X
iajs-1817	117	4	ex	ex	NOUN
iajs-1817	117	5	best	good	ADJ
iajs-1817	117	6	|alg	|alg	PUNCT
iajs-1817	118	1	ap|	ap|	ADJ
iajs-1817	118	2	time	time	NOUN
iajs-1817	118	3	1	1	NUM
iajs-1817	118	4	1	1	NUM
iajs-1817	118	5	1	1	NUM
iajs-1817	118	6	539	539	NUM
iajs-1817	118	7	19	19	NUM
iajs-1817	118	8	0.1168	0.1168	NUM
iajs-1817	118	9	1	1	NUM
iajs-1817	118	10	2	2	NUM
iajs-1817	118	11	1	1	NUM
iajs-1817	118	12	627	627	NUM
iajs-1817	118	13	24	24	NUM
iajs-1817	118	14	0.1468	0.1468	NUM
iajs-1817	118	15	2	2	NUM
iajs-1817	118	16	676	676	NUM
iajs-1817	118	17	14	14	NUM
iajs-1817	118	18	0.0254	0.0254	NUM
iajs-1817	118	19	2	2	NUM
iajs-1817	118	20	769	769	NUM
iajs-1817	118	21	16	16	NUM
iajs-1817	118	22	0.0989	0.0989	NUM
iajs-1817	118	23	3	3	NUM
iajs-1817	118	24	845	845	NUM
iajs-1817	118	25	17	17	NUM
iajs-1817	118	26	0.0302	0.0302	NUM
iajs-1817	118	27	3	3	NUM
iajs-1817	118	28	769	769	NUM
iajs-1817	118	29	3	3	NUM
iajs-1817	118	30	0.0336	0.0336	NUM
iajs-1817	118	31	4	4	NUM
iajs-1817	118	32	429	429	NUM
iajs-1817	118	33	8	8	NUM
iajs-1817	118	34	0.0265	0.0265	NUM
iajs-1817	118	35	4	4	NUM
iajs-1817	118	36	639	639	NUM
iajs-1817	118	37	22	22	NUM
iajs-1817	118	38	0.0400	0.0400	NUM
iajs-1817	118	39	5	5	NUM
iajs-1817	118	40	423	423	NUM
iajs-1817	118	41	26	26	NUM
iajs-1817	118	42	0.0457	0.0457	NUM
iajs-1817	118	43	5	5	NUM
iajs-1817	118	44	740	740	NUM
iajs-1817	118	45	2	2	NUM
iajs-1817	118	46	0.0966	0.0966	NUM
iajs-1817	118	47	1	1	NUM
iajs-1817	118	48	3	3	NUM
iajs-1817	118	49	1	1	NUM
iajs-1817	118	50	718	718	NUM
iajs-1817	118	51	22	22	NUM
iajs-1817	118	52	0.1542	0.1542	NUM
iajs-1817	118	53	1	1	NUM
iajs-1817	118	54	4	4	NUM
iajs-1817	118	55	1	1	NUM
iajs-1817	118	56	1054	1054	NUM
iajs-1817	118	57	16	16	NUM
iajs-1817	118	58	0.1131	0.1131	NUM
iajs-1817	118	59	2	2	NUM
iajs-1817	118	60	614	614	NUM
iajs-1817	118	61	33	33	NUM
iajs-1817	118	62	0.0626	0.0626	NUM
iajs-1817	118	63	2	2	NUM
iajs-1817	118	64	944	944	NUM
iajs-1817	118	65	25	25	NUM
iajs-1817	118	66	0.0491	0.0491	NUM
iajs-1817	118	67	3	3	NUM
iajs-1817	118	68	761	761	NUM
iajs-1817	118	69	35	35	NUM
iajs-1817	118	70	0.0655	0.0655	NUM
iajs-1817	118	71	3	3	NUM
iajs-1817	118	72	929	929	NUM
iajs-1817	118	73	5	5	NUM
iajs-1817	118	74	0.0277	0.0277	NUM
iajs-1817	118	75	4	4	NUM
iajs-1817	118	76	850	850	NUM
iajs-1817	118	77	21	21	NUM
iajs-1817	118	78	0.0392	0.0392	NUM
iajs-1817	118	79	4	4	NUM
iajs-1817	118	80	652	652	NUM
iajs-1817	118	81	24	24	NUM
iajs-1817	118	82	0.0894	0.0894	NUM
iajs-1817	118	83	5	5	NUM
iajs-1817	118	84	776	776	NUM
iajs-1817	118	85	9	9	NUM
iajs-1817	118	86	0.0988	0.0988	NUM
iajs-1817	118	87	5	5	NUM
iajs-1817	118	88	1002	1002	NUM
iajs-1817	118	89	10	10	NUM
iajs-1817	118	90	0.0237	0.0237	NUM
iajs-1817	118	91	1	1	NUM
iajs-1817	118	92	5	5	NUM
iajs-1817	118	93	1	1	NUM
iajs-1817	118	94	1163	1163	NUM
iajs-1817	118	95	31	31	NUM
iajs-1817	118	96	0.1629	0.1629	NUM
iajs-1817	118	97	2	2	NUM
iajs-1817	118	98	0	0	NUM
iajs-1817	118	99	1	1	NUM
iajs-1817	118	100	2243	2243	NUM
iajs-1817	118	101	12	12	NUM
iajs-1817	118	102	0.4208	0.4208	NUM
iajs-1817	118	103	2	2	NUM
iajs-1817	118	104	1437	1437	NUM
iajs-1817	118	105	5	5	NUM
iajs-1817	118	106	0.0126	0.0126	NUM
iajs-1817	118	107	2	2	NUM
iajs-1817	118	108	1982	1982	NUM
iajs-1817	118	109	50	50	NUM
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iajs-1817	118	111	3	3	NUM
iajs-1817	118	112	1203	1203	NUM
iajs-1817	118	113	2	2	NUM
iajs-1817	118	114	0.1059	0.1059	NUM
iajs-1817	118	115	3	3	NUM
iajs-1817	118	116	2307	2307	NUM
iajs-1817	118	117	41	41	NUM
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iajs-1817	118	119	4	4	NUM
iajs-1817	118	120	1167	1167	NUM
iajs-1817	118	121	3	3	NUM
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iajs-1817	118	123	4	4	NUM
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iajs-1817	118	125	2	2	NUM
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iajs-1817	118	127	5	5	NUM
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iajs-1817	118	129	34	34	NUM
iajs-1817	118	130	0.0691	0.0691	NUM
iajs-1817	118	131	5	5	NUM
iajs-1817	118	132	1583	1583	NUM
iajs-1817	118	133	47	47	NUM
iajs-1817	118	134	0.1290	0.1290	NUM
iajs-1817	118	135	2	2	NUM
iajs-1817	118	136	5	5	NUM
iajs-1817	118	137	1	1	NUM
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iajs-1817	118	139	2	2	NUM
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iajs-1817	118	141	3	3	NUM
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iajs-1817	118	146	0.1291	0.1291	NUM
iajs-1817	118	147	2	2	NUM
iajs-1817	118	148	3701	3701	NUM
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iajs-1817	118	151	2	2	NUM
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iajs-1817	118	155	3	3	NUM
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iajs-1817	118	157	2	2	NUM
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iajs-1817	118	159	3	3	NUM
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iajs-1817	118	163	4	4	NUM
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iajs-1817	118	167	4	4	NUM
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iajs-1817	118	171	5	5	NUM
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iajs-1817	118	175	5	5	NUM
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iajs-1817	118	189	5	5	NUM
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iajs-1817	118	191	2	2	NUM
iajs-1817	118	192	8438	8438	NUM
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iajs-1817	118	195	2	2	NUM
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iajs-1817	118	197	2	2	NUM
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iajs-1817	118	219	5	5	NUM
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iajs-1817	118	248	3	3	NUM
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iajs-1817	118	250	2	2	NUM
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iajs-1817	118	252	4	4	NUM
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iajs-1817	118	254	2	2	NUM
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iajs-1817	118	260	5	5	NUM
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iajs-1817	118	262	16	16	NUM
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iajs-1817	118	264	5	5	NUM
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iajs-1817	118	266	2	2	NUM
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iajs-1817	118	268	note	note	NOUN
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iajs-1817	118	271	table	table	NOUN
iajs-1817	118	272	(	(	PUNCT
iajs-1817	118	273	1	1	X
iajs-1817	118	274	)	)	PUNCT
iajs-1817	118	275	the	the	DET
iajs-1817	118	276	results	result	NOUN
iajs-1817	118	277	show	show	VERB
iajs-1817	118	278	that	that	SCONJ
iajs-1817	118	279	:	:	PUNCT
iajs-1817	118	280	for	for	ADP
iajs-1817	118	281	4	4	NUM
iajs-1817	118	282	𝑛	𝑛	PROPN
iajs-1817	118	283	10	10	NUM
iajs-1817	118	284	the	the	DET
iajs-1817	118	285	algorithm	algorithm	NOUN
iajs-1817	118	286	(	(	PUNCT
iajs-1817	118	287	ap	ap	PROPN
iajs-1817	118	288	)	)	PUNCT
iajs-1817	118	289	gives	give	VERB
iajs-1817	118	290	22	22	NUM
iajs-1817	118	291	exact	exact	ADJ
iajs-1817	118	292	optimal	optimal	ADJ
iajs-1817	118	293	solutions	solution	NOUN
iajs-1817	118	294	for	for	ADP
iajs-1817	118	295	the	the	DET
iajs-1817	118	296	problem	problem	NOUN
iajs-1817	118	297	(	(	PUNCT
iajs-1817	118	298	sp	sp	NOUN
iajs-1817	118	299	)	)	PUNCT
iajs-1817	118	300	from	from	ADP
iajs-1817	118	301	35	35	NUM
iajs-1817	118	302	test	test	NOUN
iajs-1817	118	303	problems	problem	NOUN
iajs-1817	118	304	.	.	PUNCT
iajs-1817	119	1	from	from	ADP
iajs-1817	119	2	the	the	DET
iajs-1817	119	3	results	result	NOUN
iajs-1817	119	4	of	of	ADP
iajs-1817	119	5	tables	table	NOUN
iajs-1817	119	6	(	(	PUNCT
iajs-1817	119	7	1	1	NUM
iajs-1817	119	8	)	)	PUNCT
iajs-1817	119	9	and	and	CCONJ
iajs-1817	119	10	(	(	PUNCT
iajs-1817	119	11	2	2	X
iajs-1817	119	12	)	)	PUNCT
iajs-1817	119	13	it	it	PRON
iajs-1817	119	14	is	be	AUX
iajs-1817	119	15	clear	clear	ADJ
iajs-1817	119	16	that	that	SCONJ
iajs-1817	119	17	the	the	DET
iajs-1817	119	18	algorithm	algorithm	NOUN
iajs-1817	119	19	(	(	PUNCT
iajs-1817	119	20	ap	ap	PROPN
iajs-1817	119	21	)	)	PUNCT
iajs-1817	119	22	does	do	AUX
iajs-1817	119	23	not	not	PART
iajs-1817	119	24	give	give	VERB
iajs-1817	119	25	good	good	ADJ
iajs-1817	119	26	results	result	NOUN
iajs-1817	119	27	for	for	ADP
iajs-1817	119	28	problems	problem	NOUN
iajs-1817	119	29	with	with	ADP
iajs-1817	119	30	large	large	ADJ
iajs-1817	119	31	n.	n.	NOUN
iajs-1817	119	32	this	this	PRON
iajs-1817	119	33	is	be	AUX
iajs-1817	119	34	because	because	SCONJ
iajs-1817	119	35	the	the	DET
iajs-1817	119	36	multicriteria	multicriteria	PROPN
iajs-1817	119	37	scheduling	scheduling	NOUN
iajs-1817	119	38	problems	problem	NOUN
iajs-1817	119	39	are	be	AUX
iajs-1817	119	40	generally	generally	ADV
iajs-1817	119	41	affected	affect	VERB
iajs-1817	119	42	by	by	ADP
iajs-1817	119	43	a	a	DET
iajs-1817	119	44	number	number	NOUN
iajs-1817	119	45	of	of	ADP
iajs-1817	119	46	costs	cost	NOUN
iajs-1817	119	47	functions	function	NOUN
iajs-1817	119	48	,	,	PUNCT
iajs-1817	119	49	and	and	CCONJ
iajs-1817	119	50	in	in	ADP
iajs-1817	119	51	our	our	PRON
iajs-1817	119	52	problems	problem	NOUN
iajs-1817	119	53	(	(	PUNCT
iajs-1817	119	54	p	p	NOUN
iajs-1817	119	55	)	)	PUNCT
iajs-1817	119	56	and	and	CCONJ
iajs-1817	119	57	(	(	PUNCT
iajs-1817	119	58	sp	sp	NOUN
iajs-1817	119	59	)	)	PUNCT
iajs-1817	119	60	the	the	DET
iajs-1817	119	61	number	number	NOUN
iajs-1817	119	62	of	of	ADP
iajs-1817	119	63	cost	cost	NOUN
iajs-1817	119	64	function	function	NOUN
iajs-1817	119	65	is	be	AUX
iajs-1817	119	66	five	five	NUM
iajs-1817	119	67	.	.	PUNCT
iajs-1817	120	1	ihsciconf	ihsciconf	PROPN
iajs-1817	120	2	2017	2017	NUM
iajs-1817	120	3	special	special	ADJ
iajs-1817	120	4	issue	issue	NOUN
iajs-1817	120	5	ibn	ibn	PROPN
iajs-1817	120	6	al	al	PROPN
iajs-1817	120	7	-	-	PUNCT
iajs-1817	120	8	haitham	haitham	PROPN
iajs-1817	120	9	journal	journal	PROPN
iajs-1817	120	10	for	for	ADP
iajs-1817	120	11	pure	pure	ADJ
iajs-1817	120	12	and	and	CCONJ
iajs-1817	120	13	applied	apply	VERB
iajs-1817	120	14	science	science	NOUN
iajs-1817	120	15	https://doi.org/	https://doi.org/	NOUN
iajs-1817	120	16	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	120	17	for	for	ADP
iajs-1817	120	18	more	more	ADJ
iajs-1817	120	19	information	information	NOUN
iajs-1817	120	20	about	about	ADP
iajs-1817	120	21	the	the	DET
iajs-1817	120	22	conference	conference	NOUN
iajs-1817	120	23	please	please	INTJ
iajs-1817	120	24	visit	visit	VERB
iajs-1817	120	25	the	the	DET
iajs-1817	120	26	websites	website	NOUN
iajs-1817	120	27	:	:	PUNCT
iajs-1817	120	28	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	120	29	   	   	SPACE
iajs-1817	120	30	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1817	120	31	   	   	SPACE
iajs-1817	120	32	mathematics|445	mathematics|445	NOUN
iajs-1817	120	33	    	    	SPACE
iajs-1817	120	34	basic	basic	ADJ
iajs-1817	120	35	structure	structure	NOUN
iajs-1817	120	36	of	of	ADP
iajs-1817	120	37	local	local	ADJ
iajs-1817	120	38	search	search	NOUN
iajs-1817	120	39	for	for	ADP
iajs-1817	120	40	a	a	DET
iajs-1817	120	41	machine	machine	NOUN
iajs-1817	120	42	scheduling	scheduling	NOUN
iajs-1817	120	43	problem	problem	NOUN
iajs-1817	120	44	given	give	VERB
iajs-1817	120	45	:	:	PUNCT
iajs-1817	120	46			NOUN
iajs-1817	120	47	finite	finite	PROPN
iajs-1817	120	48	set	set	VERB
iajs-1817	120	49	s	s	PRON
iajs-1817	120	50	of	of	ADP
iajs-1817	120	51	feasible	feasible	ADJ
iajs-1817	120	52	solutions	solution	NOUN
iajs-1817	120	53			NOUN
iajs-1817	120	54	objective	objective	ADJ
iajs-1817	120	55	function	function	NOUN
iajs-1817	121	1	f	f	X
iajs-1817	121	2	:	:	PUNCT
iajs-1817	121	3	s→r	s→r	PROPN
iajs-1817	121	4	the	the	DET
iajs-1817	121	5	goal	goal	NOUN
iajs-1817	121	6	is	be	AUX
iajs-1817	121	7	to	to	PART
iajs-1817	121	8	find	find	VERB
iajs-1817	121	9	a	a	DET
iajs-1817	121	10	solution	solution	NOUN
iajs-1817	121	11	with	with	ADP
iajs-1817	121	12	a	a	DET
iajs-1817	121	13	minimal	minimal	ADJ
iajs-1817	121	14	objective	objective	ADJ
iajs-1817	121	15	value	value	NOUN
iajs-1817	121	16	,	,	PUNCT
iajs-1817	121	17	i.e.	i.e.	X
iajs-1817	121	18	a	a	DET
iajs-1817	121	19	solution	solution	NOUN
iajs-1817	121	20	s∗	s∗	PROPN
iajs-1817	121	21	∈	∈	PROPN
iajs-1817	121	22	s	s	PART
iajs-1817	121	23	with	with	ADP
iajs-1817	121	24	f(s∗)=min	f(s∗)=min	PROPN
iajs-1817	121	25	∈	∈	PROPN
iajs-1817	121	26	𝑓	𝑓	DET
iajs-1817	121	27	𝑠	𝑠	INTJ
iajs-1817	121	28	basic	basic	ADJ
iajs-1817	121	29	structure	structure	NOUN
iajs-1817	121	30	of	of	ADP
iajs-1817	121	31	local	local	ADJ
iajs-1817	121	32	search	search	NOUN
iajs-1817	121	33	algorithm	algorithm	NOUN
iajs-1817	121	34	(	(	PUNCT
iajs-1817	121	35	lsa	lsa	NOUN
iajs-1817	121	36	)	)	PUNCT
iajs-1817	121	37			NOUN
iajs-1817	121	38	choose	choose	VERB
iajs-1817	121	39	an	an	DET
iajs-1817	121	40	initial	initial	ADJ
iajs-1817	121	41	solution	solution	NOUN
iajs-1817	121	42	;	;	PUNCT
iajs-1817	121	43			NOUN
iajs-1817	121	44	repeat	repeat	NOUN
iajs-1817	121	45	choose	choose	VERB
iajs-1817	121	46	a	a	DET
iajs-1817	121	47	solution	solution	NOUN
iajs-1817	121	48	from	from	ADP
iajs-1817	121	49	the	the	DET
iajs-1817	121	50	neighborhood	neighborhood	NOUN
iajs-1817	121	51	of	of	ADP
iajs-1817	121	52	the	the	DET
iajs-1817	121	53	current	current	ADJ
iajs-1817	121	54	solution	solution	NOUN
iajs-1817	121	55	and	and	CCONJ
iajs-1817	121	56	move	move	VERB
iajs-1817	121	57	to	to	ADP
iajs-1817	121	58	this	this	DET
iajs-1817	121	59	solution	solution	NOUN
iajs-1817	121	60			NOUN
iajs-1817	121	61	until	until	ADP
iajs-1817	121	62	stopping	stop	VERB
iajs-1817	121	63	criteria	criterion	NOUN
iajs-1817	121	64	variable	variable	ADJ
iajs-1817	121	65	neighborhood	neighborhood	NOUN
iajs-1817	121	66	search	search	NOUN
iajs-1817	121	67	(	(	PUNCT
iajs-1817	121	68	vns	vns	NOUN
iajs-1817	121	69	)	)	PUNCT
iajs-1817	121	70	algorithms	algorithms	NOUN
iajs-1817	121	71	the	the	DET
iajs-1817	121	72	(	(	PUNCT
iajs-1817	121	73	vns	vns	NOUN
iajs-1817	121	74	)	)	PUNCT
iajs-1817	121	75	algorithms	algorithm	NOUN
iajs-1817	121	76	(	(	PUNCT
iajs-1817	121	77	dm	dm	NOUN
iajs-1817	121	78	and	and	CCONJ
iajs-1817	121	79	sm	sm	PROPN
iajs-1817	121	80	algorithms	algorithm	NOUN
iajs-1817	121	81	)	)	PUNCT
iajs-1817	121	82	depend	depend	VERB
iajs-1817	121	83	on	on	ADP
iajs-1817	121	84	the	the	DET
iajs-1817	121	85	selection	selection	NOUN
iajs-1817	121	86	of	of	ADP
iajs-1817	121	87	neighborhoods	neighborhood	NOUN
iajs-1817	121	88	and	and	CCONJ
iajs-1817	121	89	the	the	DET
iajs-1817	121	90	selection	selection	NOUN
iajs-1817	121	91	of	of	ADP
iajs-1817	121	92	the	the	DET
iajs-1817	121	93	initial	initial	ADJ
iajs-1817	121	94	solution	solution	NOUN
iajs-1817	121	95	.	.	PUNCT
iajs-1817	122	1	in	in	ADP
iajs-1817	122	2	these(vns	these(vns	PROPN
iajs-1817	122	3	)	)	PUNCT
iajs-1817	122	4	algorithms	algorithm	NOUN
iajs-1817	122	5	,	,	PUNCT
iajs-1817	122	6	we	we	PRON
iajs-1817	122	7	use	use	VERB
iajs-1817	122	8	three	three	NUM
iajs-1817	122	9	initial	initial	ADJ
iajs-1817	122	10	solutions	solution	NOUN
iajs-1817	122	11	𝑠	𝑠	INTJ
iajs-1817	122	12	,	,	PUNCT
iajs-1817	122	13	𝑠	𝑠	PROPN
iajs-1817	122	14	and	and	CCONJ
iajs-1817	122	15	𝑠	𝑠	PROPN
iajs-1817	122	16	are	be	AUX
iajs-1817	122	17	obtained	obtain	VERB
iajs-1817	122	18	by	by	ADP
iajs-1817	122	19	solving	solve	VERB
iajs-1817	122	20	the	the	DET
iajs-1817	122	21	three	three	NUM
iajs-1817	122	22	single	single	ADJ
iajs-1817	122	23	objective	objective	ADJ
iajs-1817	122	24	problems	problem	NOUN
iajs-1817	122	25	1//∑	1//∑	PROPN
iajs-1817	122	26	𝐶	𝐶	PROPN
iajs-1817	122	27	,	,	PUNCT
iajs-1817	122	28	1//𝑇	1//𝑇	NUM
iajs-1817	122	29	and	and	CCONJ
iajs-1817	122	30	1//𝐸	1//𝐸	NUM
iajs-1817	122	31	respectively	respectively	ADV
iajs-1817	122	32	.	.	PUNCT
iajs-1817	123	1	the	the	DET
iajs-1817	123	2	adjacent	adjacent	ADJ
iajs-1817	123	3	pair	pair	NOUN
iajs-1817	123	4	interchange	interchange	NOUN
iajs-1817	123	5	(	(	PUNCT
iajs-1817	123	6	api	api	NOUN
iajs-1817	123	7	)	)	PUNCT
iajs-1817	123	8	neighborhood	neighborhood	NOUN
iajs-1817	123	9	(	(	PUNCT
iajs-1817	123	10	n	n	CCONJ
iajs-1817	123	11	)	)	PUNCT
iajs-1817	123	12	is	be	AUX
iajs-1817	123	13	used	use	VERB
iajs-1817	123	14	to	to	PART
iajs-1817	123	15	generate	generate	VERB
iajs-1817	123	16	new	new	ADJ
iajs-1817	123	17	solutions	solution	NOUN
iajs-1817	123	18	.	.	PUNCT
iajs-1817	124	1	for	for	ADP
iajs-1817	124	2	the	the	DET
iajs-1817	124	3	(	(	PUNCT
iajs-1817	124	4	vns	vns	NOUN
iajs-1817	124	5	)	)	PUNCT
iajs-1817	124	6	algorithms	algorithm	NOUN
iajs-1817	124	7	,	,	PUNCT
iajs-1817	124	8	in	in	ADP
iajs-1817	124	9	each	each	DET
iajs-1817	124	10	iteration	iteration	NOUN
iajs-1817	124	11	initial	initial	ADJ
iajs-1817	124	12	solution	solution	NOUN
iajs-1817	124	13	s	s	PART
iajs-1817	124	14	is	be	AUX
iajs-1817	124	15	selected	select	VERB
iajs-1817	124	16	,	,	PUNCT
iajs-1817	124	17	neighbor	neighbor	NOUN
iajs-1817	124	18	solutions	solution	NOUN
iajs-1817	124	19	are	be	AUX
iajs-1817	124	20	generated	generate	VERB
iajs-1817	124	21	using	use	VERB
iajs-1817	124	22	n(s	n(s	PROPN
iajs-1817	124	23	)	)	PUNCT
iajs-1817	124	24	.	.	PUNCT
iajs-1817	125	1	the	the	DET
iajs-1817	125	2	two	two	NUM
iajs-1817	125	3	algorithms	algorithm	NOUN
iajs-1817	125	4	(	(	PUNCT
iajs-1817	125	5	dm	dm	NOUN
iajs-1817	125	6	)	)	PUNCT
iajs-1817	125	7	and	and	CCONJ
iajs-1817	125	8	(	(	PUNCT
iajs-1817	125	9	sm	sm	NOUN
iajs-1817	125	10	)	)	PUNCT
iajs-1817	125	11	are	be	AUX
iajs-1817	125	12	run	run	VERB
iajs-1817	125	13	with	with	ADP
iajs-1817	125	14	stopping	stop	VERB
iajs-1817	125	15	criterion	criterion	NOUN
iajs-1817	125	16	at	at	ADP
iajs-1817	125	17	a	a	DET
iajs-1817	125	18	known	know	VERB
iajs-1817	125	19	number	number	NOUN
iajs-1817	125	20	of	of	ADP
iajs-1817	125	21	iterations	iteration	NOUN
iajs-1817	125	22	depends	depend	VERB
iajs-1817	125	23	on	on	ADP
iajs-1817	125	24	the	the	DET
iajs-1817	125	25	number	number	NOUN
iajs-1817	125	26	of	of	ADP
iajs-1817	125	27	jobs	job	NOUN
iajs-1817	125	28	.	.	PUNCT
iajs-1817	126	1	hence	hence	ADV
iajs-1817	126	2	,	,	PUNCT
iajs-1817	126	3	we	we	PRON
iajs-1817	126	4	assign	assign	VERB
iajs-1817	126	5	more	more	ADJ
iajs-1817	126	6	iterations	iteration	NOUN
iajs-1817	126	7	to	to	ADP
iajs-1817	126	8	large	large	ADJ
iajs-1817	126	9	instances	instance	NOUN
iajs-1817	126	10	which	which	PRON
iajs-1817	126	11	are	be	AUX
iajs-1817	126	12	obviously	obviously	ADV
iajs-1817	126	13	more	more	ADJ
iajs-1817	126	14	time	time	NOUN
iajs-1817	126	15	consuming	consume	VERB
iajs-1817	126	16	to	to	PART
iajs-1817	126	17	solve	solve	VERB
iajs-1817	126	18	.	.	PUNCT
iajs-1817	127	1	problem	problem	NOUN
iajs-1817	127	2	instances	instance	VERB
iajs-1817	127	3	the	the	DET
iajs-1817	127	4	performance	performance	NOUN
iajs-1817	127	5	of	of	ADP
iajs-1817	127	6	the	the	DET
iajs-1817	127	7	dm	dm	PROPN
iajs-1817	127	8	and	and	CCONJ
iajs-1817	127	9	sm	sm	PROPN
iajs-1817	127	10	algorithms	algorithm	NOUN
iajs-1817	127	11	are	be	AUX
iajs-1817	127	12	compared	compare	VERB
iajs-1817	127	13	on	on	ADP
iajs-1817	127	14	5	5	NUM
iajs-1817	127	15	problems	problem	NOUN
iajs-1817	127	16	instances	instance	NOUN
iajs-1817	127	17	.	.	PUNCT
iajs-1817	128	1	to	to	PART
iajs-1817	128	2	compare	compare	VERB
iajs-1817	128	3	the	the	DET
iajs-1817	128	4	solutions	solution	NOUN
iajs-1817	128	5	that	that	SCONJ
iajs-1817	128	6	the	the	DET
iajs-1817	128	7	sizes	size	NOUN
iajs-1817	128	8	of	of	ADP
iajs-1817	128	9	these	these	DET
iajs-1817	128	10	instances	instance	NOUN
iajs-1817	128	11	are	be	AUX
iajs-1817	128	12	:	:	PUNCT
iajs-1817	128	13	for	for	ADP
iajs-1817	128	14	small	small	ADJ
iajs-1817	128	15	size	size	NOUN
iajs-1817	128	16	n=4,	n=4,	NOUN
iajs-1817	128	17	…	…	PUNCT
iajs-1817	128	18	,15	,15	PUNCT
iajs-1817	128	19	for	for	ADP
iajs-1817	128	20	middle	middle	ADJ
iajs-1817	128	21	size	size	NOUN
iajs-1817	128	22	n=20	n=20	PROPN
iajs-1817	128	23	,	,	PUNCT
iajs-1817	128	24	…	…	PUNCT
iajs-1817	128	25	,	,	PUNCT
iajs-1817	128	26	150	150	NUM
iajs-1817	128	27	for	for	ADP
iajs-1817	128	28	large	large	ADJ
iajs-1817	128	29	size	size	NOUN
iajs-1817	128	30	n=200,	n=200,	PROPN
iajs-1817	128	31	…	…	SYM
iajs-1817	128	32	5000	5000	NUM
iajs-1817	128	33	3.3	3.3	NUM
iajs-1817	128	34	computational	computational	ADJ
iajs-1817	128	35	results	result	NOUN
iajs-1817	128	36	for	for	ADP
iajs-1817	128	37	the	the	DET
iajs-1817	128	38	problem	problem	NOUN
iajs-1817	128	39	(	(	PUNCT
iajs-1817	128	40	sp	sp	NOUN
iajs-1817	128	41	)	)	PUNCT
iajs-1817	128	42	computational	computational	ADJ
iajs-1817	128	43	results	result	NOUN
iajs-1817	128	44	of	of	ADP
iajs-1817	128	45	local	local	ADJ
iajs-1817	128	46	search	search	NOUN
iajs-1817	128	47	algorithms	algorithm	NOUN
iajs-1817	128	48	(	(	PUNCT
iajs-1817	128	49	lsas	lsa	NOUN
iajs-1817	128	50	)	)	PUNCT
iajs-1817	128	51	dm	dm	NOUN
iajs-1817	128	52	and	and	CCONJ
iajs-1817	128	53	sm	sm	PROPN
iajs-1817	128	54	is	be	AUX
iajs-1817	128	55	given	give	VERB
iajs-1817	128	56	in	in	ADP
iajs-1817	128	57	the	the	DET
iajs-1817	128	58	following	follow	VERB
iajs-1817	128	59	tables	table	NOUN
iajs-1817	128	60	.	.	PUNCT
iajs-1817	129	1	we	we	PRON
iajs-1817	129	2	implement	implement	VERB
iajs-1817	129	3	lsas	lsa	NOUN
iajs-1817	129	4	as	as	SCONJ
iajs-1817	129	5	follows	follow	VERB
iajs-1817	129	6	:	:	PUNCT
iajs-1817	129	7	since	since	SCONJ
iajs-1817	129	8	we	we	PRON
iajs-1817	129	9	know	know	VERB
iajs-1817	129	10	the	the	DET
iajs-1817	129	11	optimal	optimal	ADJ
iajs-1817	129	12	solutions	solution	NOUN
iajs-1817	129	13	for	for	ADP
iajs-1817	129	14	small	small	ADJ
iajs-1817	129	15	size	size	NOUN
iajs-1817	129	16	problems	problem	NOUN
iajs-1817	129	17	,	,	PUNCT
iajs-1817	129	18	which	which	PRON
iajs-1817	129	19	are	be	AUX
iajs-1817	129	20	obtained	obtain	VERB
iajs-1817	129	21	by	by	ADP
iajs-1817	129	22	bab	bab	PROPN
iajs-1817	129	23	algorithm	algorithm	NOUN
iajs-1817	129	24	for	for	ADP
iajs-1817	129	25	n	n	PRON
iajs-1817	129	26	15[4	15[4	NOUN
iajs-1817	129	27	]	]	X
iajs-1817	129	28	,	,	PUNCT
iajs-1817	129	29	lsas	lsa	NOUN
iajs-1817	129	30	use	use	VERB
iajs-1817	129	31	large	large	ADJ
iajs-1817	129	32	number	number	NOUN
iajs-1817	129	33	of	of	ADP
iajs-1817	129	34	iterations	iteration	NOUN
iajs-1817	129	35	,	,	PUNCT
iajs-1817	129	36	hence	hence	ADV
iajs-1817	129	37	each	each	DET
iajs-1817	129	38	algorithm	algorithm	NOUN
iajs-1817	129	39	stop	stop	VERB
iajs-1817	129	40	when	when	SCONJ
iajs-1817	129	41	it	it	PRON
iajs-1817	129	42	catches	catch	VERB
iajs-1817	129	43	the	the	DET
iajs-1817	129	44	optimal	optimal	ADJ
iajs-1817	129	45	solution	solution	NOUN
iajs-1817	129	46	(	(	PUNCT
iajs-1817	129	47	termination	termination	NOUN
iajs-1817	129	48	condition	condition	NOUN
iajs-1817	129	49	)	)	PUNCT
iajs-1817	129	50	,	,	PUNCT
iajs-1817	129	51	but	but	CCONJ
iajs-1817	129	52	may	may	AUX
iajs-1817	129	53	be	be	AUX
iajs-1817	129	54	for	for	ADP
iajs-1817	129	55	large	large	ADJ
iajs-1817	129	56	size	size	NOUN
iajs-1817	129	57	problems	problem	NOUN
iajs-1817	129	58	we	we	PRON
iajs-1817	129	59	used	use	VERB
iajs-1817	129	60	100000	100000	NUM
iajs-1817	129	61	iterations	iteration	NOUN
iajs-1817	129	62	as	as	ADP
iajs-1817	129	63	termination	termination	NOUN
iajs-1817	129	64	condition	condition	NOUN
iajs-1817	129	65	.	.	PUNCT
iajs-1817	130	1	in	in	ADP
iajs-1817	130	2	these	these	DET
iajs-1817	130	3	lsas	lsa	NOUN
iajs-1817	130	4	the	the	DET
iajs-1817	130	5	neighborhoods	neighborhood	NOUN
iajs-1817	130	6	generated	generate	VERB
iajs-1817	130	7	using	use	VERB
iajs-1817	130	8	the	the	DET
iajs-1817	130	9	api	api	NOUN
iajs-1817	130	10	.	.	PUNCT
iajs-1817	131	1	the	the	DET
iajs-1817	131	2	initial	initial	ADJ
iajs-1817	131	3	solution	solution	NOUN
iajs-1817	131	4	for	for	ADP
iajs-1817	131	5	the	the	DET
iajs-1817	131	6	tested	test	VERB
iajs-1817	131	7	problems	problem	NOUN
iajs-1817	131	8	is	be	AUX
iajs-1817	131	9	generated	generate	VERB
iajs-1817	131	10	using	use	VERB
iajs-1817	131	11	the	the	DET
iajs-1817	131	12	minimum	minimum	NOUN
iajs-1817	131	13	of	of	ADP
iajs-1817	131	14	(	(	PUNCT
iajs-1817	131	15	𝑠	𝑠	INTJ
iajs-1817	131	16	,	,	PUNCT
iajs-1817	131	17	𝑠	𝑠	PROPN
iajs-1817	131	18	,	,	PUNCT
iajs-1817	131	19	𝑠	𝑠	PROPN
iajs-1817	131	20	)	)	PUNCT
iajs-1817	131	21	.	.	PUNCT
iajs-1817	132	1	the	the	DET
iajs-1817	132	2	results	result	NOUN
iajs-1817	132	3	obtained	obtain	VERB
iajs-1817	132	4	by	by	ADP
iajs-1817	132	5	lsas	lsa	NOUN
iajs-1817	132	6	is	be	AUX
iajs-1817	132	7	given	give	VERB
iajs-1817	132	8	in	in	ADP
iajs-1817	132	9	table	table	NOUN
iajs-1817	132	10	(	(	PUNCT
iajs-1817	132	11	3	3	NUM
iajs-1817	132	12	)	)	PUNCT
iajs-1817	132	13	.	.	PUNCT
iajs-1817	133	1	the	the	DET
iajs-1817	133	2	results	result	NOUN
iajs-1817	133	3	show	show	VERB
iajs-1817	133	4	which	which	PRON
iajs-1817	133	5	local	local	ADJ
iajs-1817	133	6	search	search	NOUN
iajs-1817	133	7	algorithm	algorithm	NOUN
iajs-1817	133	8	gives	give	VERB
iajs-1817	133	9	solution	solution	NOUN
iajs-1817	133	10	closed	close	VERB
iajs-1817	133	11	to	to	ADP
iajs-1817	133	12	optimal	optimal	ADJ
iajs-1817	133	13	solution	solution	NOUN
iajs-1817	133	14	obtained	obtain	VERB
iajs-1817	133	15	by	by	ADP
iajs-1817	133	16	bab	bab	PROPN
iajs-1817	133	17	and	and	CCONJ
iajs-1817	133	18	the	the	DET
iajs-1817	133	19	corresponding	corresponding	ADJ
iajs-1817	133	20	time	time	NOUN
iajs-1817	133	21	it	it	PRON
iajs-1817	133	22	needs	need	VERB
iajs-1817	133	23	to	to	PART
iajs-1817	133	24	reach	reach	VERB
iajs-1817	133	25	this	this	DET
iajs-1817	133	26	solution	solution	NOUN
iajs-1817	133	27	for	for	ADP
iajs-1817	133	28	n	n	DET
iajs-1817	133	29	15	15	NUM
iajs-1817	133	30	.	.	PUNCT
iajs-1817	134	1	ihsciconf	ihsciconf	PROPN
iajs-1817	134	2	2017	2017	NUM
iajs-1817	134	3	special	special	ADJ
iajs-1817	134	4	issue	issue	NOUN
iajs-1817	134	5	ibn	ibn	PROPN
iajs-1817	134	6	al	al	PROPN
iajs-1817	134	7	-	-	PUNCT
iajs-1817	134	8	haitham	haitham	PROPN
iajs-1817	134	9	journal	journal	PROPN
iajs-1817	134	10	for	for	ADP
iajs-1817	134	11	pure	pure	ADJ
iajs-1817	134	12	and	and	CCONJ
iajs-1817	134	13	applied	apply	VERB
iajs-1817	134	14	science	science	NOUN
iajs-1817	134	15	https://doi.org/	https://doi.org/	NOUN
iajs-1817	134	16	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	134	17	for	for	ADP
iajs-1817	134	18	more	more	ADJ
iajs-1817	134	19	information	information	NOUN
iajs-1817	134	20	about	about	ADP
iajs-1817	134	21	the	the	DET
iajs-1817	134	22	conference	conference	NOUN
iajs-1817	134	23	please	please	INTJ
iajs-1817	134	24	visit	visit	VERB
iajs-1817	134	25	the	the	DET
iajs-1817	134	26	websites	website	NOUN
iajs-1817	134	27	:	:	PUNCT
iajs-1817	134	28	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	134	29	   	   	SPACE
iajs-1817	134	30	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1817	134	31	   	   	SPACE
iajs-1817	134	32	mathematics|446	mathematics|446	NOUN
iajs-1817	134	33	    	    	SPACE
iajs-1817	134	34	in	in	ADP
iajs-1817	134	35	table	table	NOUN
iajs-1817	134	36	(	(	PUNCT
iajs-1817	134	37	4	4	X
iajs-1817	134	38	)	)	PUNCT
iajs-1817	134	39	we	we	PRON
iajs-1817	134	40	give	give	VERB
iajs-1817	134	41	the	the	DET
iajs-1817	134	42	results	result	NOUN
iajs-1817	134	43	of	of	ADP
iajs-1817	134	44	comparison	comparison	NOUN
iajs-1817	134	45	between	between	ADP
iajs-1817	134	46	lsas	lsa	NOUN
iajs-1817	134	47	themselves	themselves	PRON
iajs-1817	134	48	,	,	PUNCT
iajs-1817	134	49	for	for	ADP
iajs-1817	134	50	each	each	DET
iajs-1817	134	51	algorithm	algorithm	NOUN
iajs-1817	134	52	,	,	PUNCT
iajs-1817	134	53	we	we	PRON
iajs-1817	134	54	find	find	VERB
iajs-1817	134	55	the	the	DET
iajs-1817	134	56	best	good	ADJ
iajs-1817	134	57	values	value	NOUN
iajs-1817	134	58	and	and	CCONJ
iajs-1817	134	59	computation	computation	NOUN
iajs-1817	134	60	time	time	NOUN
iajs-1817	134	61	.	.	PUNCT
iajs-1817	135	1	in	in	ADP
iajs-1817	135	2	table	table	NOUN
iajs-1817	135	3	(	(	PUNCT
iajs-1817	135	4	3	3	NUM
iajs-1817	135	5	)	)	PUNCT
iajs-1817	135	6	,	,	PUNCT
iajs-1817	135	7	table	table	NOUN
iajs-1817	135	8	(	(	PUNCT
iajs-1817	135	9	4	4	NUM
iajs-1817	135	10	)	)	PUNCT
iajs-1817	135	11	and	and	CCONJ
iajs-1817	135	12	table	table	NOUN
iajs-1817	135	13	(	(	PUNCT
iajs-1817	135	14	5	5	NUM
iajs-1817	135	15	)	)	PUNCT
iajs-1817	135	16	we	we	PRON
iajs-1817	135	17	have	have	VERB
iajs-1817	135	18	:	:	PUNCT
iajs-1817	135	19	n	n	CCONJ
iajs-1817	135	20	:	:	PUNCT
iajs-1817	135	21	number	number	NOUN
iajs-1817	135	22	of	of	ADP
iajs-1817	135	23	jobs	job	NOUN
iajs-1817	135	24	ex	ex	NOUN
iajs-1817	135	25	:	:	PUNCT
iajs-1817	135	26	example	example	NOUN
iajs-1817	135	27	number	number	NOUN
iajs-1817	135	28	node	node	PROPN
iajs-1817	135	29	:	:	PUNCT
iajs-1817	135	30	the	the	DET
iajs-1817	135	31	number	number	NOUN
iajs-1817	135	32	of	of	ADP
iajs-1817	135	33	nodes	node	NOUN
iajs-1817	135	34	.	.	PUNCT
iajs-1817	136	1	optimal	optimal	ADJ
iajs-1817	136	2	:	:	PUNCT
iajs-1817	136	3	the	the	DET
iajs-1817	136	4	optimal	optimal	ADJ
iajs-1817	136	5	value	value	NOUN
iajs-1817	136	6	obtained	obtain	VERB
iajs-1817	136	7	by	by	ADP
iajs-1817	136	8	bab	bab	PROPN
iajs-1817	136	9	algorithm	algorithm	NOUN
iajs-1817	136	10	[	[	X
iajs-1817	136	11	4	4	NUM
iajs-1817	136	12	]	]	PUNCT
iajs-1817	136	13	.	.	PUNCT
iajs-1817	137	1	no	no	INTJ
iajs-1817	137	2	.	.	NOUN
iajs-1817	138	1	of	of	ADP
iajs-1817	138	2	opt.:number	opt.:number	ADP
iajs-1817	138	3	of	of	ADP
iajs-1817	138	4	examples	example	NOUN
iajs-1817	138	5	that	that	PRON
iajs-1817	138	6	catch	catch	VERB
iajs-1817	138	7	the	the	DET
iajs-1817	138	8	optimal	optimal	ADJ
iajs-1817	138	9	value	value	NOUN
iajs-1817	138	10	.	.	PUNCT
iajs-1817	139	1	no	no	INTJ
iajs-1817	139	2	.	.	PUNCT
iajs-1817	140	1	of	of	ADP
iajs-1817	140	2	best	well	ADV
iajs-1817	140	3	:	:	PUNCT
iajs-1817	140	4	number	number	NOUN
iajs-1817	140	5	of	of	ADP
iajs-1817	140	6	examples	example	NOUN
iajs-1817	140	7	that	that	PRON
iajs-1817	140	8	catch	catch	VERB
iajs-1817	140	9	the	the	DET
iajs-1817	140	10	best	good	ADJ
iajs-1817	140	11	value	value	NOUN
iajs-1817	140	12	.	.	PUNCT
iajs-1817	141	1	sm	sm	INTJ
iajs-1817	141	2	:	:	PUNCT
iajs-1817	141	3	the	the	DET
iajs-1817	141	4	value	value	NOUN
iajs-1817	141	5	obtained	obtain	VERB
iajs-1817	141	6	by	by	ADP
iajs-1817	141	7	simulation	simulation	NOUN
iajs-1817	141	8	annealing	annealing	NOUN
iajs-1817	141	9	method	method	NOUN
iajs-1817	141	10	.	.	PUNCT
iajs-1817	142	1	dm	dm	NOUN
iajs-1817	142	2	:	:	PUNCT
iajs-1817	142	3	the	the	DET
iajs-1817	142	4	value	value	NOUN
iajs-1817	142	5	obtained	obtain	VERB
iajs-1817	142	6	by	by	ADP
iajs-1817	142	7	decent	decent	ADJ
iajs-1817	142	8	method	method	NOUN
iajs-1817	142	9	.	.	PUNCT
iajs-1817	143	1	time	time	NOUN
iajs-1817	143	2	:	:	PUNCT
iajs-1817	143	3	time	time	NOUN
iajs-1817	143	4	in	in	ADP
iajs-1817	143	5	seconds	second	NOUN
iajs-1817	143	6	.	.	PUNCT
iajs-1817	144	1	table	table	NOUN
iajs-1817	144	2	(	(	PUNCT
iajs-1817	144	3	3	3	NUM
iajs-1817	144	4	):	):	PUNCT
iajs-1817	144	5	the	the	DET
iajs-1817	144	6	comparison	comparison	NOUN
iajs-1817	144	7	between	between	ADP
iajs-1817	144	8	the	the	DET
iajs-1817	144	9	optimal	optimal	ADJ
iajs-1817	144	10	solutions	solution	NOUN
iajs-1817	144	11	obtained	obtain	VERB
iajs-1817	144	12	by	by	ADP
iajs-1817	144	13	bab	bab	PROPN
iajs-1817	144	14	and	and	CCONJ
iajs-1817	144	15	the	the	DET
iajs-1817	144	16	results	result	NOUN
iajs-1817	144	17	of	of	ADP
iajs-1817	144	18	lsas	lsa	NOUN
iajs-1817	144	19	for	for	ADP
iajs-1817	144	20	small	small	ADJ
iajs-1817	144	21	size	size	NOUN
iajs-1817	144	22	problems	problem	NOUN
iajs-1817	144	23	bab	bab	PROPN
iajs-1817	144	24	local	local	ADJ
iajs-1817	144	25	search	search	NOUN
iajs-1817	144	26	n	n	PROPN
iajs-1817	144	27	ex	ex	PRON
iajs-1817	144	28	optimal	optimal	ADJ
iajs-1817	144	29	node	node	ADJ
iajs-1817	144	30	time	time	NOUN
iajs-1817	144	31	dm	dm	NUM
iajs-1817	144	32	time	time	NOUN
iajs-1817	144	33	sm	sm	NOUN
iajs-1817	144	34	time	time	NOUN
iajs-1817	144	35	4	4	NUM
iajs-1817	144	36	1	1	NUM
iajs-1817	144	37	108	108	NUM
iajs-1817	144	38	11	11	NUM
iajs-1817	144	39	0.0718	0.0718	NUM
iajs-1817	144	40	108	108	NUM
iajs-1817	144	41	0.3366	0.3366	NUM
iajs-1817	144	42	108	108	NUM
iajs-1817	144	43	0.3460	0.3460	NUM
iajs-1817	144	44	2	2	NUM
iajs-1817	144	45	138	138	NUM
iajs-1817	144	46	7	7	NUM
iajs-1817	144	47	0.0105	0.0105	NUM
iajs-1817	144	48	138	138	NUM
iajs-1817	144	49	0.3310	0.3310	NUM
iajs-1817	144	50	138	138	NUM
iajs-1817	144	51	0.3307	0.3307	NUM
iajs-1817	144	52	3	3	NUM
iajs-1817	144	53	155	155	NUM
iajs-1817	144	54	7	7	NUM
iajs-1817	144	55	0.0083	0.0083	NUM
iajs-1817	144	56	155	155	NUM
iajs-1817	144	57	0.3216	0.3216	NUM
iajs-1817	144	58	155	155	NUM
iajs-1817	144	59	0.3338	0.3338	NUM
iajs-1817	144	60	4	4	NUM
iajs-1817	144	61	83	83	NUM
iajs-1817	144	62	7	7	NUM
iajs-1817	144	63	0.0095	0.0095	NUM
iajs-1817	144	64	83	83	NUM
iajs-1817	144	65	0.3241	0.3241	NUM
iajs-1817	144	66	83	83	NUM
iajs-1817	144	67	0.3317	0.3317	NUM
iajs-1817	144	68	5	5	NUM
iajs-1817	144	69	59	59	NUM
iajs-1817	144	70	14	14	NUM
iajs-1817	144	71	0.0125	0.0125	NUM
iajs-1817	144	72	59	59	NUM
iajs-1817	144	73	0.3289	0.3289	NUM
iajs-1817	144	74	59	59	NUM
iajs-1817	144	75	0.3331	0.3331	NUM
iajs-1817	144	76	no	no	INTJ
iajs-1817	144	77	.	.	PUNCT
iajs-1817	144	78	of	of	ADP
iajs-1817	144	79	opt	opt	PROPN
iajs-1817	144	80	.	.	PUNCT
iajs-1817	145	1	5	5	NUM
iajs-1817	145	2	5	5	NUM
iajs-1817	145	3	5	5	NUM
iajs-1817	145	4	1	1	NUM
iajs-1817	145	5	85	85	NUM
iajs-1817	145	6	23	23	NUM
iajs-1817	145	7	0.0174	0.0174	NUM
iajs-1817	145	8	85	85	NUM
iajs-1817	145	9	0.3352	0.3352	NUM
iajs-1817	145	10	85	85	NUM
iajs-1817	145	11	0.3384	0.3384	NUM
iajs-1817	145	12	2	2	NUM
iajs-1817	145	13	140	140	NUM
iajs-1817	145	14	19	19	NUM
iajs-1817	145	15	0.0145	0.0145	NUM
iajs-1817	145	16	140	140	NUM
iajs-1817	145	17	0.3257	0.3257	NUM
iajs-1817	145	18	140	140	NUM
iajs-1817	145	19	0.3330	0.3330	NUM
iajs-1817	145	20	3	3	NUM
iajs-1817	145	21	158	158	NUM
iajs-1817	145	22	49	49	NUM
iajs-1817	145	23	0.0242	0.0242	NUM
iajs-1817	145	24	158	158	NUM
iajs-1817	145	25	0.3239	0.3239	NUM
iajs-1817	145	26	158	158	NUM
iajs-1817	145	27	0.3320	0.3320	NUM
iajs-1817	145	28	4	4	NUM
iajs-1817	145	29	107	107	NUM
iajs-1817	145	30	94	94	NUM
iajs-1817	145	31	0.0487	0.0487	NUM
iajs-1817	145	32	107	107	NUM
iajs-1817	145	33	0.3234	0.3234	NUM
iajs-1817	145	34	107	107	NUM
iajs-1817	145	35	0.3311	0.3311	NUM
iajs-1817	145	36	5	5	NUM
iajs-1817	145	37	121	121	NUM
iajs-1817	145	38	14	14	NUM
iajs-1817	145	39	0.0142	0.0142	NUM
iajs-1817	145	40	121	121	NUM
iajs-1817	145	41	0.3239	0.3239	NUM
iajs-1817	145	42	121	121	NUM
iajs-1817	145	43	0.3336	0.3336	NUM
iajs-1817	145	44	no	no	INTJ
iajs-1817	145	45	.	.	PUNCT
iajs-1817	146	1	of	of	ADP
iajs-1817	146	2	opt	opt	PROPN
iajs-1817	146	3	.	.	PUNCT
iajs-1817	146	4	5	5	NUM
iajs-1817	146	5	5	5	NUM
iajs-1817	146	6	6	6	NUM
iajs-1817	146	7	1	1	NUM
iajs-1817	146	8	156	156	NUM
iajs-1817	146	9	32	32	NUM
iajs-1817	146	10	0.0361	0.0361	NUM
iajs-1817	146	11	156	156	NUM
iajs-1817	146	12	0.3297	0.3297	NUM
iajs-1817	146	13	156	156	NUM
iajs-1817	146	14	0.3424	0.3424	NUM
iajs-1817	146	15	2	2	NUM
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iajs-1817	149	32	   	   	SPACE
iajs-1817	149	33	www.ihsciconf.org	www.ihsciconf.org	ADJ
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iajs-1817	157	16	944	944	NUM
iajs-1817	157	17	148623	148623	NUM
iajs-1817	157	18	208.8141	208.8141	NUM
iajs-1817	157	19	944	944	NUM
iajs-1817	157	20	0.3386	0.3386	NUM
iajs-1817	157	21	944	944	NUM
iajs-1817	157	22	0.3773	0.3773	NUM
iajs-1817	157	23	ihsciconf	ihsciconf	NOUN
iajs-1817	157	24	2017	2017	NUM
iajs-1817	157	25	special	special	ADJ
iajs-1817	157	26	issue	issue	NOUN
iajs-1817	157	27	ibn	ibn	PROPN
iajs-1817	157	28	al	al	PROPN
iajs-1817	157	29	-	-	PUNCT
iajs-1817	157	30	haitham	haitham	PROPN
iajs-1817	157	31	journal	journal	PROPN
iajs-1817	157	32	for	for	ADP
iajs-1817	157	33	pure	pure	ADJ
iajs-1817	157	34	and	and	CCONJ
iajs-1817	157	35	applied	apply	VERB
iajs-1817	157	36	science	science	NOUN
iajs-1817	157	37	https://doi.org/	https://doi.org/	NOUN
iajs-1817	157	38	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	157	39	for	for	ADP
iajs-1817	157	40	more	more	ADJ
iajs-1817	157	41	information	information	NOUN
iajs-1817	157	42	about	about	ADP
iajs-1817	157	43	the	the	DET
iajs-1817	157	44	conference	conference	NOUN
iajs-1817	157	45	please	please	INTJ
iajs-1817	157	46	visit	visit	VERB
iajs-1817	157	47	the	the	DET
iajs-1817	157	48	websites	website	NOUN
iajs-1817	157	49	:	:	PUNCT
iajs-1817	157	50	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	157	51	   	   	SPACE
iajs-1817	157	52	www.ihsciconf.org	www.ihsciconf.org	X
iajs-1817	157	53	   	   	SPACE
iajs-1817	157	54	mathematics|448	mathematics|448	X
iajs-1817	157	55	    	    	SPACE
iajs-1817	157	56	3	3	NUM
iajs-1817	157	57	881	881	NUM
iajs-1817	157	58	135901	135901	NUM
iajs-1817	157	59	225.9353	225.9353	NUM
iajs-1817	157	60	881	881	NUM
iajs-1817	157	61	0.3288	0.3288	NUM
iajs-1817	157	62	881	881	NUM
iajs-1817	157	63	0.3636	0.3636	NUM
iajs-1817	157	64	4	4	NUM
iajs-1817	157	65	617	617	NUM
iajs-1817	157	66	1241576	1241576	NUM
iajs-1817	157	67	1.8000e+03	1.8000e+03	NUM
iajs-1817	157	68	617	617	NUM
iajs-1817	157	69	0.3302	0.3302	NUM
iajs-1817	157	70	617	617	NUM
iajs-1817	157	71	0.3644	0.3644	NUM
iajs-1817	157	72	5	5	NUM
iajs-1817	157	73	949	949	NUM
iajs-1817	157	74	500964	500964	NUM
iajs-1817	157	75	912.6224	912.6224	NUM
iajs-1817	157	76	949	949	NUM
iajs-1817	157	77	0.3323	0.3323	NUM
iajs-1817	157	78	949	949	NUM
iajs-1817	157	79	0.3743	0.3743	NUM
iajs-1817	157	80	no	no	NOUN
iajs-1817	157	81	.	.	PUNCT
iajs-1817	158	1	of	of	ADP
iajs-1817	158	2	opt	opt	PROPN
iajs-1817	158	3	.	.	PUNCT
iajs-1817	159	1	5	5	NUM
iajs-1817	159	2	5	5	NUM
iajs-1817	159	3	15	15	NUM
iajs-1817	159	4	1	1	NUM
iajs-1817	159	5	1163	1163	NUM
iajs-1817	159	6	999952	999952	NUM
iajs-1817	159	7	1.8000e+03	1.8000e+03	NUM
iajs-1817	159	8	1163	1163	NUM
iajs-1817	159	9	0.3428	0.3428	NUM
iajs-1817	159	10	1163	1163	NUM
iajs-1817	159	11	0.4000	0.4000	NUM
iajs-1817	159	12	2	2	NUM
iajs-1817	159	13	1354	1354	NUM
iajs-1817	159	14	979356	979356	NUM
iajs-1817	159	15	1.8000e+03	1.8000e+03	NUM
iajs-1817	159	16	1354	1354	NUM
iajs-1817	159	17	0.3362	0.3362	NUM
iajs-1817	159	18	1354	1354	NUM
iajs-1817	159	19	0.3645	0.3645	NUM
iajs-1817	159	20	3	3	NUM
iajs-1817	159	21	1045	1045	NUM
iajs-1817	159	22	1408198	1408198	NUM
iajs-1817	159	23	1.8000e+03	1.8000e+03	NUM
iajs-1817	159	24	1045	1045	NUM
iajs-1817	159	25	0.3317	0.3317	NUM
iajs-1817	159	26	1045	1045	NUM
iajs-1817	159	27	0.3662	0.3662	NUM
iajs-1817	159	28	4	4	NUM
iajs-1817	159	29	1095	1095	NUM
iajs-1817	159	30	1542277	1542277	NUM
iajs-1817	159	31	1.8000e+03	1.8000e+03	NUM
iajs-1817	159	32	1095	1095	NUM
iajs-1817	159	33	0.3308	0.3308	NUM
iajs-1817	159	34	1095	1095	NUM
iajs-1817	159	35	0.3930	0.3930	NUM
iajs-1817	159	36	5	5	NUM
iajs-1817	159	37	1194	1194	NUM
iajs-1817	159	38	1126274	1126274	NUM
iajs-1817	159	39	1.8000e+03	1.8000e+03	NUM
iajs-1817	159	40	1194	1194	NUM
iajs-1817	159	41	0.3435	0.3435	NUM
iajs-1817	159	42	1194	1194	NUM
iajs-1817	159	43	0.3881	0.3881	NUM
iajs-1817	159	44	no	no	NOUN
iajs-1817	159	45	.	.	PUNCT
iajs-1817	159	46	of	of	ADP
iajs-1817	159	47	opt	opt	PROPN
iajs-1817	159	48	.	.	PUNCT
iajs-1817	159	49	5	5	NUM
iajs-1817	159	50	5	5	NUM
iajs-1817	159	51	note	note	NOUN
iajs-1817	159	52	:	:	PUNCT
iajs-1817	159	53	for	for	ADP
iajs-1817	159	54	the	the	DET
iajs-1817	159	55	results	result	NOUN
iajs-1817	159	56	of	of	ADP
iajs-1817	159	57	the	the	DET
iajs-1817	159	58	table	table	NOUN
iajs-1817	159	59	(	(	PUNCT
iajs-1817	159	60	3	3	NUM
iajs-1817	159	61	)	)	PUNCT
iajs-1817	159	62	for	for	ADP
iajs-1817	159	63	the	the	DET
iajs-1817	159	64	problem	problem	NOUN
iajs-1817	159	65	(	(	PUNCT
iajs-1817	159	66	sp	sp	NOUN
iajs-1817	159	67	)	)	PUNCT
iajs-1817	159	68	,	,	PUNCT
iajs-1817	159	69	the	the	DET
iajs-1817	159	70	exact	exact	ADJ
iajs-1817	159	71	method	method	NOUN
iajs-1817	159	72	(	(	PUNCT
iajs-1817	159	73	bab	bab	PROPN
iajs-1817	159	74	)	)	PUNCT
iajs-1817	159	75	guarantee	guarantee	VERB
iajs-1817	159	76	a	a	DET
iajs-1817	159	77	global	global	ADJ
iajs-1817	159	78	optimum	optimum	NOUN
iajs-1817	159	79	for	for	ADP
iajs-1817	159	80	np	np	NOUN
iajs-1817	159	81	-	-	PUNCT
iajs-1817	159	82	hard	hard	ADJ
iajs-1817	159	83	problem	problem	NOUN
iajs-1817	159	84	,	,	PUNCT
iajs-1817	159	85	but	but	CCONJ
iajs-1817	159	86	the	the	DET
iajs-1817	159	87	time	time	NOUN
iajs-1817	159	88	required	require	VERB
iajs-1817	159	89	that	that	PRON
iajs-1817	159	90	grows	grow	VERB
iajs-1817	159	91	exponentially	exponentially	ADV
iajs-1817	159	92	with	with	ADP
iajs-1817	159	93	size	size	NOUN
iajs-1817	159	94	of	of	ADP
iajs-1817	159	95	the	the	DET
iajs-1817	159	96	problem	problem	NOUN
iajs-1817	159	97	,	,	PUNCT
iajs-1817	159	98	and	and	CCONJ
iajs-1817	159	99	often	often	ADV
iajs-1817	159	100	only	only	ADV
iajs-1817	159	101	small	small	ADJ
iajs-1817	159	102	or	or	CCONJ
iajs-1817	159	103	medium	medium	ADJ
iajs-1817	159	104	sized	sized	ADJ
iajs-1817	159	105	instances	instance	NOUN
iajs-1817	159	106	can	can	AUX
iajs-1817	159	107	be	be	AUX
iajs-1817	159	108	solved	solve	VERB
iajs-1817	159	109	almost	almost	ADV
iajs-1817	159	110	demonstrable	demonstrable	ADJ
iajs-1817	159	111	optimality	optimality	NOUN
iajs-1817	159	112	.	.	PUNCT
iajs-1817	160	1	in	in	ADP
iajs-1817	160	2	this	this	DET
iajs-1817	160	3	case	case	NOUN
iajs-1817	160	4	,	,	PUNCT
iajs-1817	160	5	the	the	DET
iajs-1817	160	6	only	only	ADJ
iajs-1817	160	7	possibility	possibility	NOUN
iajs-1817	160	8	for	for	ADP
iajs-1817	160	9	large	large	ADJ
iajs-1817	160	10	causes	cause	NOUN
iajs-1817	160	11	is	be	AUX
iajs-1817	160	12	to	to	PART
iajs-1817	160	13	use	use	VERB
iajs-1817	160	14	lsas	lsa	NOUN
iajs-1817	160	15	.	.	PUNCT
iajs-1817	161	1	table	table	NOUN
iajs-1817	161	2	(	(	PUNCT
iajs-1817	161	3	4	4	NUM
iajs-1817	161	4	):	):	PUNCT
iajs-1817	161	5	the	the	DET
iajs-1817	161	6	results	result	NOUN
iajs-1817	161	7	of	of	ADP
iajs-1817	161	8	(	(	PUNCT
iajs-1817	161	9	lsas	lsa	NOUN
iajs-1817	161	10	)	)	PUNCT
iajs-1817	161	11	for	for	ADP
iajs-1817	161	12	middle	middle	ADJ
iajs-1817	161	13	size	size	NOUN
iajs-1817	161	14	problems	problem	NOUN
iajs-1817	161	15	(	(	PUNCT
iajs-1817	161	16	sp	sp	NOUN
iajs-1817	161	17	)	)	PUNCT
iajs-1817	161	18	.	.	PUNCT
iajs-1817	162	1	1//(∑c	1//(∑c	NUM
iajs-1817	163	1	∑t	∑t	PROPN
iajs-1817	163	2	∑e	∑e	PROPN
iajs-1817	163	3	t	t	PROPN
iajs-1817	163	4	e	e	PROPN
iajs-1817	163	5	)	)	PUNCT
iajs-1817	163	6	n	n	CCONJ
iajs-1817	163	7	ex	ex	NOUN
iajs-1817	163	8	best	good	ADJ
iajs-1817	163	9	dm	dm	NUM
iajs-1817	163	10	time	time	NOUN
iajs-1817	163	11	sm	sm	NOUN
iajs-1817	163	12	time	time	NOUN
iajs-1817	163	13	20	20	NUM
iajs-1817	163	14	1	1	NUM
iajs-1817	163	15	2192	2192	NUM
iajs-1817	163	16	2192	2192	NUM
iajs-1817	163	17	17.1704	17.1704	NUM
iajs-1817	163	18	2192	2192	NUM
iajs-1817	163	19	17.9940	17.9940	NUM
iajs-1817	163	20	2	2	NUM
iajs-1817	163	21	1980	1980	NUM
iajs-1817	163	22	1980	1980	NUM
iajs-1817	163	23	17.2340	17.2340	NUM
iajs-1817	163	24	1980	1980	NUM
iajs-1817	163	25	18.1652	18.1652	NUM
iajs-1817	163	26	3	3	NUM
iajs-1817	163	27	2307	2307	NUM
iajs-1817	163	28	2307	2307	NUM
iajs-1817	163	29	17.2693	17.2693	NUM
iajs-1817	163	30	2307	2307	NUM
iajs-1817	163	31	17.8001	17.8001	NUM
iajs-1817	163	32	4	4	NUM
iajs-1817	163	33	1614	1614	NUM
iajs-1817	163	34	1614	1614	NUM
iajs-1817	163	35	17.0662	17.0662	NUM
iajs-1817	163	36	1614	1614	NUM
iajs-1817	163	37	17.9575	17.9575	NUM
iajs-1817	163	38	5	5	NUM
iajs-1817	163	39	1480	1480	NUM
iajs-1817	163	40	1480	1480	NUM
iajs-1817	163	41	17.2500	17.2500	NUM
iajs-1817	163	42	1480	1480	NUM
iajs-1817	163	43	18.1025	18.1025	NUM
iajs-1817	163	44	no	no	NOUN
iajs-1817	163	45	.	.	PUNCT
iajs-1817	164	1	of	of	ADP
iajs-1817	164	2	best	good	ADJ
iajs-1817	164	3	5	5	NUM
iajs-1817	164	4	5	5	NUM
iajs-1817	164	5	25	25	NUM
iajs-1817	164	6	1	1	NUM
iajs-1817	164	7	3074	3074	NUM
iajs-1817	164	8	3074	3074	NUM
iajs-1817	164	9	17.4439	17.4439	NUM
iajs-1817	164	10	3074	3074	NUM
iajs-1817	164	11	18.0000	18.0000	NUM
iajs-1817	164	12	2	2	NUM
iajs-1817	164	13	3576	3576	NUM
iajs-1817	164	14	3576	3576	NUM
iajs-1817	164	15	17.3106	17.3106	NUM
iajs-1817	164	16	3576	3576	NUM
iajs-1817	164	17	18.0559	18.0559	NUM
iajs-1817	164	18	3	3	NUM
iajs-1817	164	19	3304	3304	NUM
iajs-1817	164	20	3304	3304	NUM
iajs-1817	164	21	17.2883	17.2883	NUM
iajs-1817	164	22	3304	3304	NUM
iajs-1817	164	23	17.9902	17.9902	NUM
iajs-1817	164	24	4	4	NUM
iajs-1817	164	25	3252	3252	NUM
iajs-1817	164	26	3252	3252	NUM
iajs-1817	164	27	17.3190	17.3190	NUM
iajs-1817	164	28	3252	3252	NUM
iajs-1817	164	29	17.9990	17.9990	NUM
iajs-1817	164	30	5	5	NUM
iajs-1817	164	31	2868	2868	NUM
iajs-1817	164	32	2868	2868	NUM
iajs-1817	164	33	17.0024	17.0024	NUM
iajs-1817	164	34	2868	2868	NUM
iajs-1817	164	35	19.0635	19.0635	NUM
iajs-1817	164	36	no	no	NOUN
iajs-1817	164	37	.	.	PUNCT
iajs-1817	165	1	of	of	ADP
iajs-1817	165	2	best	good	ADJ
iajs-1817	165	3	5	5	NUM
iajs-1817	165	4	5	5	NUM
iajs-1817	165	5	30	30	NUM
iajs-1817	165	6	1	1	NUM
iajs-1817	165	7	4617	4617	NUM
iajs-1817	165	8	4617	4617	NUM
iajs-1817	165	9	17.7994	17.7994	NUM
iajs-1817	165	10	4617	4617	NUM
iajs-1817	165	11	19.7571	19.7571	NUM
iajs-1817	165	12	2	2	NUM
iajs-1817	165	13	4326	4326	NUM
iajs-1817	165	14	4326	4326	NUM
iajs-1817	165	15	17.2849	17.2849	NUM
iajs-1817	165	16	4326	4326	NUM
iajs-1817	165	17	19.3264	19.3264	NUM
iajs-1817	165	18	3	3	NUM
iajs-1817	165	19	4484	4484	NUM
iajs-1817	165	20	4484	4484	NUM
iajs-1817	165	21	17.5013	17.5013	NUM
iajs-1817	165	22	4484	4484	NUM
iajs-1817	165	23	19.2168	19.2168	NUM
iajs-1817	165	24	4	4	NUM
iajs-1817	165	25	4381	4381	NUM
iajs-1817	165	26	4381	4381	NUM
iajs-1817	165	27	17.6284	17.6284	NUM
iajs-1817	165	28	4381	4381	NUM
iajs-1817	165	29	19.4044	19.4044	NUM
iajs-1817	165	30	5	5	NUM
iajs-1817	165	31	4144	4144	NUM
iajs-1817	165	32	4144	4144	NUM
iajs-1817	166	1	17.4485	17.4485	NUM
iajs-1817	166	2	4144	4144	NUM
iajs-1817	166	3	19.1458	19.1458	NUM
iajs-1817	166	4	no	no	NOUN
iajs-1817	166	5	.	.	PUNCT
iajs-1817	167	1	of	of	ADP
iajs-1817	167	2	best	good	ADJ
iajs-1817	167	3	5	5	NUM
iajs-1817	167	4	5	5	NUM
iajs-1817	167	5	40	40	NUM
iajs-1817	167	6	1	1	NUM
iajs-1817	167	7	8391	8391	NUM
iajs-1817	167	8	8391	8391	NUM
iajs-1817	167	9	17.8830	17.8830	NUM
iajs-1817	167	10	8391	8391	NUM
iajs-1817	167	11	18.3505	18.3505	NUM
iajs-1817	167	12	2	2	NUM
iajs-1817	167	13	8229	8229	NUM
iajs-1817	167	14	8229	8229	NUM
iajs-1817	167	15	18.5320	18.5320	NUM
iajs-1817	167	16	8229	8229	NUM
iajs-1817	167	17	18.5105	18.5105	NUM
iajs-1817	167	18	ihsciconf	ihsciconf	PROPN
iajs-1817	167	19	2017	2017	NUM
iajs-1817	167	20	special	special	ADJ
iajs-1817	167	21	issue	issue	NOUN
iajs-1817	167	22	ibn	ibn	PROPN
iajs-1817	167	23	al	al	PROPN
iajs-1817	167	24	-	-	PUNCT
iajs-1817	167	25	haitham	haitham	PROPN
iajs-1817	167	26	journal	journal	PROPN
iajs-1817	167	27	for	for	ADP
iajs-1817	167	28	pure	pure	ADJ
iajs-1817	167	29	and	and	CCONJ
iajs-1817	167	30	applied	apply	VERB
iajs-1817	167	31	science	science	NOUN
iajs-1817	167	32	https://doi.org/	https://doi.org/	NOUN
iajs-1817	167	33	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	167	34	for	for	ADP
iajs-1817	167	35	more	more	ADJ
iajs-1817	167	36	information	information	NOUN
iajs-1817	167	37	about	about	ADP
iajs-1817	167	38	the	the	DET
iajs-1817	167	39	conference	conference	NOUN
iajs-1817	167	40	please	please	INTJ
iajs-1817	167	41	visit	visit	VERB
iajs-1817	167	42	the	the	DET
iajs-1817	167	43	websites	website	NOUN
iajs-1817	167	44	:	:	PUNCT
iajs-1817	167	45	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	167	46	   	   	SPACE
iajs-1817	167	47	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1817	167	48	   	   	SPACE
iajs-1817	167	49	mathematics|449	mathematics|449	NOUN
iajs-1817	167	50	    	    	SPACE
iajs-1817	167	51	3	3	NUM
iajs-1817	167	52	10128	10128	NUM
iajs-1817	167	53	10128	10128	NUM
iajs-1817	167	54	17.7782	17.7782	NUM
iajs-1817	167	55	10128	10128	NUM
iajs-1817	167	56	18.4321	18.4321	NUM
iajs-1817	167	57	4	4	NUM
iajs-1817	167	58	7423	7423	NUM
iajs-1817	167	59	7423	7423	NUM
iajs-1817	167	60	18.5639	18.5639	NUM
iajs-1817	167	61	7423	7423	NUM
iajs-1817	167	62	18.4112	18.4112	NUM
iajs-1817	167	63	5	5	NUM
iajs-1817	167	64	6570	6570	NUM
iajs-1817	167	65	6571	6571	NUM
iajs-1817	167	66	18.3700	18.3700	NUM
iajs-1817	167	67	6570	6570	NUM
iajs-1817	167	68	18.5121	18.5121	NUM
iajs-1817	167	69	no	no	NOUN
iajs-1817	167	70	.	.	PUNCT
iajs-1817	168	1	of	of	ADP
iajs-1817	168	2	best	good	ADJ
iajs-1817	168	3	4	4	NUM
iajs-1817	168	4	5	5	NUM
iajs-1817	168	5	50	50	NUM
iajs-1817	168	6	1	1	NUM
iajs-1817	168	7	12294	12294	NUM
iajs-1817	168	8	12294	12294	NUM
iajs-1817	168	9	17.8408	17.8408	NUM
iajs-1817	168	10	12294	12294	NUM
iajs-1817	168	11	18.6126	18.6126	NUM
iajs-1817	169	1	2	2	NUM
iajs-1817	169	2	12235	12235	NUM
iajs-1817	169	3	12235	12235	NUM
iajs-1817	169	4	18.3901	18.3901	NUM
iajs-1817	169	5	12235	12235	NUM
iajs-1817	169	6	18.7420	18.7420	NUM
iajs-1817	169	7	3	3	NUM
iajs-1817	169	8	12943	12943	NUM
iajs-1817	169	9	12943	12943	NUM
iajs-1817	169	10	18.1681	18.1681	NUM
iajs-1817	169	11	12943	12943	NUM
iajs-1817	169	12	18.7678	18.7678	NUM
iajs-1817	169	13	4	4	NUM
iajs-1817	169	14	9427	9427	NUM
iajs-1817	169	15	9427	9427	NUM
iajs-1817	169	16	17.9928	17.9928	NUM
iajs-1817	169	17	9427	9427	NUM
iajs-1817	169	18	18.6223	18.6223	NUM
iajs-1817	169	19	5	5	NUM
iajs-1817	169	20	11453	11453	NUM
iajs-1817	169	21	11453	11453	NUM
iajs-1817	169	22	17.9824	17.9824	NUM
iajs-1817	169	23	11453	11453	NUM
iajs-1817	169	24	18.7382	18.7382	NUM
iajs-1817	169	25	no	no	NOUN
iajs-1817	169	26	.	.	PUNCT
iajs-1817	170	1	of	of	ADP
iajs-1817	170	2	best	good	ADJ
iajs-1817	170	3	5	5	NUM
iajs-1817	170	4	5	5	NUM
iajs-1817	170	5	75	75	NUM
iajs-1817	170	6	1	1	NUM
iajs-1817	170	7	26660	26660	NUM
iajs-1817	170	8	26660	26660	NUM
iajs-1817	170	9	18.1376	18.1376	NUM
iajs-1817	170	10	26660	26660	NUM
iajs-1817	170	11	19.1078	19.1078	NUM
iajs-1817	170	12	2	2	NUM
iajs-1817	170	13	24708	24708	NUM
iajs-1817	170	14	24708	24708	NUM
iajs-1817	170	15	18.8023	18.8023	NUM
iajs-1817	170	16	24708	24708	NUM
iajs-1817	170	17	19.3242	19.3242	NUM
iajs-1817	170	18	3	3	NUM
iajs-1817	170	19	25066	25066	NUM
iajs-1817	170	20	25066	25066	NUM
iajs-1817	170	21	18.8975	18.8975	NUM
iajs-1817	170	22	25066	25066	NUM
iajs-1817	170	23	19.2128	19.2128	NUM
iajs-1817	170	24	4	4	NUM
iajs-1817	170	25	24067	24067	NUM
iajs-1817	170	26	24067	24067	NUM
iajs-1817	170	27	18.9234	18.9234	NUM
iajs-1817	170	28	24067	24067	NUM
iajs-1817	170	29	19.1542	19.1542	NUM
iajs-1817	170	30	5	5	NUM
iajs-1817	170	31	23517	23517	NUM
iajs-1817	170	32	23517	23517	NUM
iajs-1817	170	33	18.2172	18.2172	NUM
iajs-1817	170	34	23517	23517	NUM
iajs-1817	170	35	19.2733	19.2733	NUM
iajs-1817	170	36	no	no	NOUN
iajs-1817	170	37	.	.	PUNCT
iajs-1817	171	1	of	of	ADP
iajs-1817	171	2	best	good	ADJ
iajs-1817	171	3	5	5	NUM
iajs-1817	171	4	5	5	NUM
iajs-1817	171	5	100	100	NUM
iajs-1817	171	6	1	1	NUM
iajs-1817	171	7	47533	47533	NUM
iajs-1817	171	8	47533	47533	NUM
iajs-1817	171	9	19.5215	19.5215	NUM
iajs-1817	171	10	47533	47533	NUM
iajs-1817	171	11	20.2826	20.2826	NUM
iajs-1817	171	12	2	2	NUM
iajs-1817	171	13	44798	44798	NUM
iajs-1817	171	14	44798	44798	NUM
iajs-1817	171	15	19.2866	19.2866	NUM
iajs-1817	171	16	44798	44798	NUM
iajs-1817	171	17	20.2693	20.2693	NUM
iajs-1817	171	18	3	3	NUM
iajs-1817	171	19	51191	51191	NUM
iajs-1817	171	20	51191	51191	NUM
iajs-1817	171	21	19.5268	19.5268	NUM
iajs-1817	171	22	51191	51191	NUM
iajs-1817	171	23	20.1367	20.1367	NUM
iajs-1817	171	24	4	4	NUM
iajs-1817	171	25	45303	45303	NUM
iajs-1817	171	26	45303	45303	NUM
iajs-1817	171	27	18.9843	18.9843	NUM
iajs-1817	171	28	45303	45303	NUM
iajs-1817	171	29	20.4310	20.4310	NUM
iajs-1817	171	30	5	5	NUM
iajs-1817	171	31	42456	42456	NUM
iajs-1817	171	32	42456	42456	NUM
iajs-1817	171	33	19.8174	19.8174	NUM
iajs-1817	171	34	42456	42456	NUM
iajs-1817	171	35	20.1911	20.1911	NUM
iajs-1817	172	1	no	no	INTJ
iajs-1817	172	2	.	.	PUNCT
iajs-1817	173	1	of	of	ADP
iajs-1817	173	2	best	good	ADJ
iajs-1817	173	3	5	5	NUM
iajs-1817	173	4	5	5	NUM
iajs-1817	173	5	table	table	NOUN
iajs-1817	173	6	(	(	PUNCT
iajs-1817	173	7	5	5	NUM
iajs-1817	173	8	):	):	PUNCT
iajs-1817	173	9	the	the	DET
iajs-1817	173	10	results	result	NOUN
iajs-1817	173	11	of	of	ADP
iajs-1817	173	12	(	(	PUNCT
iajs-1817	173	13	lsas	lsa	NOUN
iajs-1817	173	14	)	)	PUNCT
iajs-1817	173	15	for	for	ADP
iajs-1817	173	16	large	large	ADJ
iajs-1817	173	17	size	size	NOUN
iajs-1817	173	18	problems	problem	NOUN
iajs-1817	173	19	(	(	PUNCT
iajs-1817	173	20	sp	sp	NOUN
iajs-1817	173	21	)	)	PUNCT
iajs-1817	173	22	.	.	PUNCT
iajs-1817	174	1	1//(∑c	1//(∑c	NUM
iajs-1817	175	1	∑t	∑t	PROPN
iajs-1817	175	2	∑e	∑e	PROPN
iajs-1817	175	3	t	t	PROPN
iajs-1817	175	4	e	e	PROPN
iajs-1817	175	5	)	)	PUNCT
iajs-1817	175	6	n	n	CCONJ
iajs-1817	175	7	ex	ex	NOUN
iajs-1817	175	8	best	good	ADJ
iajs-1817	175	9	dm	dm	NUM
iajs-1817	175	10	time	time	NOUN
iajs-1817	175	11	sm	sm	NOUN
iajs-1817	175	12	time	time	NOUN
iajs-1817	175	13	150	150	NUM
iajs-1817	175	14	1	1	NUM
iajs-1817	175	15	114782	114782	NUM
iajs-1817	175	16	114782	114782	NUM
iajs-1817	175	17	21.3637	21.3637	NUM
iajs-1817	175	18	114782	114782	NUM
iajs-1817	175	19	21.8264	21.8264	NUM
iajs-1817	175	20	2	2	NUM
iajs-1817	175	21	105271	105271	NUM
iajs-1817	175	22	105271	105271	NUM
iajs-1817	175	23	20.8970	20.8970	NUM
iajs-1817	175	24	105272	105272	NUM
iajs-1817	175	25	21.1729	21.1729	NUM
iajs-1817	175	26	3	3	NUM
iajs-1817	175	27	113900	113900	NUM
iajs-1817	175	28	113900	113900	NUM
iajs-1817	175	29	20.9309	20.9309	NUM
iajs-1817	175	30	113900	113900	NUM
iajs-1817	175	31	22.3416	22.3416	NUM
iajs-1817	175	32	4	4	NUM
iajs-1817	175	33	107808	107808	NUM
iajs-1817	175	34	107808	107808	NUM
iajs-1817	175	35	21.0479	21.0479	NUM
iajs-1817	175	36	107808	107808	NUM
iajs-1817	175	37	22.1926	22.1926	NUM
iajs-1817	175	38	5	5	NUM
iajs-1817	175	39	105044	105044	NUM
iajs-1817	175	40	105044	105044	NUM
iajs-1817	175	41	20.9315	20.9315	NUM
iajs-1817	175	42	105044	105044	NUM
iajs-1817	175	43	21.8763	21.8763	NUM
iajs-1817	175	44	no	no	NOUN
iajs-1817	175	45	.	.	PUNCT
iajs-1817	176	1	of	of	ADP
iajs-1817	176	2	best	good	ADJ
iajs-1817	176	3	5	5	NUM
iajs-1817	176	4	4	4	NUM
iajs-1817	176	5	200	200	NUM
iajs-1817	176	6	1	1	NUM
iajs-1817	176	7	190272	190272	NUM
iajs-1817	176	8	190272	190272	NUM
iajs-1817	176	9	23.3108	23.3108	NUM
iajs-1817	176	10	190272	190272	NUM
iajs-1817	176	11	27.7667	27.7667	NUM
iajs-1817	176	12	2	2	NUM
iajs-1817	176	13	195197	195197	NUM
iajs-1817	176	14	195197	195197	NUM
iajs-1817	176	15	22.6171	22.6171	NUM
iajs-1817	176	16	195197	195197	NUM
iajs-1817	176	17	24.3901	24.3901	NUM
iajs-1817	176	18	3	3	NUM
iajs-1817	176	19	201662	201662	NUM
iajs-1817	176	20	201662	201662	NUM
iajs-1817	176	21	22.7381	22.7381	NUM
iajs-1817	176	22	201662	201662	NUM
iajs-1817	176	23	23.2338	23.2338	NUM
iajs-1817	176	24	4	4	NUM
iajs-1817	176	25	165780	165780	NUM
iajs-1817	176	26	165780	165780	NUM
iajs-1817	176	27	22.5827	22.5827	NUM
iajs-1817	176	28	165780	165780	NUM
iajs-1817	176	29	23.1716	23.1716	NUM
iajs-1817	176	30	5	5	NUM
iajs-1817	176	31	174895	174895	NUM
iajs-1817	176	32	174895	174895	NUM
iajs-1817	176	33	22.6055	22.6055	NUM
iajs-1817	176	34	174896	174896	NUM
iajs-1817	176	35	23.5996	23.5996	NUM
iajs-1817	176	36	no	no	NOUN
iajs-1817	176	37	.	.	PUNCT
iajs-1817	177	1	of	of	ADP
iajs-1817	177	2	best	good	ADJ
iajs-1817	177	3	5	5	NUM
iajs-1817	177	4	4	4	NUM
iajs-1817	177	5	500	500	NUM
iajs-1817	177	6	1	1	NUM
iajs-1817	177	7	1249270	1249270	NUM
iajs-1817	177	8	1249270	1249270	NUM
iajs-1817	177	9	32.5923	32.5923	NUM
iajs-1817	177	10	1249270	1249270	NUM
iajs-1817	177	11	34.1950	34.1950	NUM
iajs-1817	177	12	ihsciconf	ihsciconf	PROPN
iajs-1817	177	13	2017	2017	NUM
iajs-1817	177	14	special	special	ADJ
iajs-1817	177	15	issue	issue	NOUN
iajs-1817	177	16	ibn	ibn	PROPN
iajs-1817	177	17	al	al	PROPN
iajs-1817	177	18	-	-	PUNCT
iajs-1817	177	19	haitham	haitham	PROPN
iajs-1817	177	20	journal	journal	PROPN
iajs-1817	177	21	for	for	ADP
iajs-1817	177	22	pure	pure	ADJ
iajs-1817	177	23	and	and	CCONJ
iajs-1817	177	24	applied	apply	VERB
iajs-1817	177	25	science	science	NOUN
iajs-1817	177	26	https://doi.org/	https://doi.org/	NOUN
iajs-1817	177	27	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	177	28	for	for	ADP
iajs-1817	177	29	more	more	ADJ
iajs-1817	177	30	information	information	NOUN
iajs-1817	177	31	about	about	ADP
iajs-1817	177	32	the	the	DET
iajs-1817	177	33	conference	conference	NOUN
iajs-1817	177	34	please	please	INTJ
iajs-1817	177	35	visit	visit	VERB
iajs-1817	177	36	the	the	DET
iajs-1817	177	37	websites	website	NOUN
iajs-1817	177	38	:	:	PUNCT
iajs-1817	177	39	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	177	40	   	   	SPACE
iajs-1817	177	41	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1817	177	42	   	   	SPACE
iajs-1817	177	43	mathematics|450	mathematics|450	NOUN
iajs-1817	177	44	    	    	SPACE
iajs-1817	177	45	2	2	NUM
iajs-1817	177	46	1221710	1221710	NUM
iajs-1817	177	47	1221710	1221710	NUM
iajs-1817	178	1	34.1415	34.1415	NUM
iajs-1817	178	2	1221710	1221710	NUM
iajs-1817	178	3	34.0155	34.0155	NUM
iajs-1817	178	4	3	3	NUM
iajs-1817	178	5	1221949	1221949	NUM
iajs-1817	178	6	1221949	1221949	NUM
iajs-1817	178	7	33.5762	33.5762	NUM
iajs-1817	178	8	1221950	1221950	NUM
iajs-1817	178	9	33.7248	33.7248	NUM
iajs-1817	178	10	4	4	NUM
iajs-1817	178	11	1128689	1128689	NUM
iajs-1817	178	12	1128689	1128689	NUM
iajs-1817	178	13	33.3125	33.3125	NUM
iajs-1817	178	14	1128691	1128691	NUM
iajs-1817	178	15	33.6118	33.6118	NUM
iajs-1817	178	16	5	5	NUM
iajs-1817	178	17	1082602	1082602	NUM
iajs-1817	178	18	1082602	1082602	NUM
iajs-1817	178	19	33.2352	33.2352	NUM
iajs-1817	178	20	1082603	1082603	NUM
iajs-1817	178	21	33.2889	33.2889	NUM
iajs-1817	178	22	no	no	NOUN
iajs-1817	178	23	.	.	PUNCT
iajs-1817	179	1	of	of	ADP
iajs-1817	179	2	best	good	ADJ
iajs-1817	179	3	5	5	NUM
iajs-1817	179	4	2	2	NUM
iajs-1817	179	5	1000	1000	NUM
iajs-1817	179	6	1	1	NUM
iajs-1817	179	7	5192233	5192233	NUM
iajs-1817	179	8	5192233	5192233	NUM
iajs-1817	179	9	50.9866	50.9866	NUM
iajs-1817	179	10	5192235	5192235	NUM
iajs-1817	179	11	51.6225	51.6225	NUM
iajs-1817	179	12	2	2	NUM
iajs-1817	179	13	4985474	4985474	NUM
iajs-1817	179	14	4985474	4985474	NUM
iajs-1817	179	15	50.0319	50.0319	NUM
iajs-1817	179	16	4985474	4985474	NUM
iajs-1817	179	17	51.0978	51.0978	NUM
iajs-1817	179	18	3	3	NUM
iajs-1817	179	19	4938789	4938789	NUM
iajs-1817	179	20	4938789	4938789	NUM
iajs-1817	179	21	49.7726	49.7726	NUM
iajs-1817	179	22	4938789	4938789	NUM
iajs-1817	179	23	51.2369	51.2369	NUM
iajs-1817	179	24	4	4	NUM
iajs-1817	179	25	4569662	4569662	NUM
iajs-1817	179	26	4569662	4569662	NUM
iajs-1817	179	27	49.7137	49.7137	NUM
iajs-1817	179	28	4569662	4569662	NUM
iajs-1817	179	29	50.9907	50.9907	NUM
iajs-1817	179	30	5	5	NUM
iajs-1817	179	31	4212750	4212750	NUM
iajs-1817	179	32	4212750	4212750	NUM
iajs-1817	179	33	49.6992	49.6992	NUM
iajs-1817	179	34	4212751	4212751	NUM
iajs-1817	179	35	51.4793	51.4793	NUM
iajs-1817	179	36	no	no	NOUN
iajs-1817	179	37	.	.	PUNCT
iajs-1817	180	1	of	of	ADP
iajs-1817	180	2	best	good	ADJ
iajs-1817	180	3	5	5	NUM
iajs-1817	180	4	3	3	NUM
iajs-1817	180	5	2000	2000	NUM
iajs-1817	180	6	1	1	NUM
iajs-1817	180	7	19815089	19815089	NUM
iajs-1817	180	8	19808339	19808339	NUM
iajs-1817	180	9	86.6824	86.6824	NUM
iajs-1817	180	10	19808339	19808339	NUM
iajs-1817	180	11	89.8018	89.8018	NUM
iajs-1817	180	12	2	2	NUM
iajs-1817	180	13	19527160	19527160	NUM
iajs-1817	180	14	19527160	19527160	NUM
iajs-1817	180	15	87.8703	87.8703	NUM
iajs-1817	180	16	19527160	19527160	NUM
iajs-1817	180	17	88.2342	88.2342	NUM
iajs-1817	180	18	3	3	NUM
iajs-1817	180	19	19826853	19826853	NUM
iajs-1817	180	20	19826853	19826853	NUM
iajs-1817	180	21	87.6722	87.6722	NUM
iajs-1817	180	22	19826853	19826853	NUM
iajs-1817	180	23	90.6310	90.6310	NUM
iajs-1817	180	24	4	4	NUM
iajs-1817	180	25	17448482	17448482	NUM
iajs-1817	180	26	17448482	17448482	NUM
iajs-1817	180	27	88.4805	88.4805	NUM
iajs-1817	180	28	17448482	17448482	NUM
iajs-1817	180	29	88.4856	88.4856	NUM
iajs-1817	180	30	5	5	NUM
iajs-1817	180	31	17743289	17743289	NUM
iajs-1817	180	32	17743289	17743289	NUM
iajs-1817	180	33	87.6191	87.6191	NUM
iajs-1817	180	34	17743289	17743289	NUM
iajs-1817	180	35	88.2204	88.2204	NUM
iajs-1817	180	36	no	no	NOUN
iajs-1817	180	37	.	.	PUNCT
iajs-1817	181	1	of	of	ADP
iajs-1817	181	2	best	good	ADJ
iajs-1817	181	3	5	5	NUM
iajs-1817	181	4	5	5	NUM
iajs-1817	181	5	2500	2500	NUM
iajs-1817	181	6	1	1	NUM
iajs-1817	181	7	3124028	3124028	NUM
iajs-1817	181	8	3124028	3124028	NUM
iajs-1817	181	9	112.0557	112.0557	NUM
iajs-1817	181	10	31224028	31224028	NUM
iajs-1817	181	11	114.6281	114.6281	NUM
iajs-1817	181	12	2	2	NUM
iajs-1817	181	13	30408720	30408720	NUM
iajs-1817	181	14	30408720	30408720	NUM
iajs-1817	181	15	108.1435	108.1435	NUM
iajs-1817	181	16	30408722	30408722	NUM
iajs-1817	181	17	111.4571	111.4571	NUM
iajs-1817	181	18	3	3	NUM
iajs-1817	181	19	30655008	30655008	NUM
iajs-1817	181	20	30655008	30655008	NUM
iajs-1817	181	21	108.8118	108.8118	NUM
iajs-1817	181	22	30655008	30655008	NUM
iajs-1817	181	23	109.5242	109.5242	NUM
iajs-1817	181	24	4	4	NUM
iajs-1817	181	25	27788565	27788565	NUM
iajs-1817	181	26	27788565	27788565	NUM
iajs-1817	181	27	107.5072	107.5072	NUM
iajs-1817	181	28	27788565	27788565	NUM
iajs-1817	181	29	110.2695	110.2695	NUM
iajs-1817	181	30	5	5	NUM
iajs-1817	181	31	27166817	27166817	NUM
iajs-1817	181	32	27166817	27166817	NUM
iajs-1817	181	33	111.9192	111.9192	NUM
iajs-1817	181	34	27166817	27166817	NUM
iajs-1817	181	35	112.1854	112.1854	NUM
iajs-1817	181	36	no	no	NOUN
iajs-1817	181	37	.	.	PUNCT
iajs-1817	181	38	of	of	ADP
iajs-1817	181	39	best	good	ADJ
iajs-1817	181	40	5	5	NUM
iajs-1817	181	41	4	4	NUM
iajs-1817	181	42	3000	3000	NUM
iajs-1817	181	43	1	1	NUM
iajs-1817	181	44	44450378	44450378	NUM
iajs-1817	181	45	44450378	44450378	NUM
iajs-1817	182	1	127.9788	127.9788	NUM
iajs-1817	182	2	44450378	44450378	NUM
iajs-1817	182	3	129.7762	129.7762	NUM
iajs-1817	182	4	2	2	NUM
iajs-1817	182	5	44309450	44309450	NUM
iajs-1817	182	6	44309450	44309450	NUM
iajs-1817	182	7	128.7811	128.7811	NUM
iajs-1817	182	8	44309450	44309450	NUM
iajs-1817	182	9	128.7734	128.7734	NUM
iajs-1817	182	10	3	3	NUM
iajs-1817	182	11	45225080	45225080	NUM
iajs-1817	182	12	45225080	45225080	NUM
iajs-1817	182	13	126.3454	126.3454	NUM
iajs-1817	182	14	45225080	45225080	NUM
iajs-1817	182	15	127.8855	127.8855	NUM
iajs-1817	182	16	4	4	NUM
iajs-1817	182	17	39495210	39495210	NUM
iajs-1817	182	18	39495210	39495210	NUM
iajs-1817	182	19	126.7486	126.7486	NUM
iajs-1817	182	20	39495210	39495210	NUM
iajs-1817	182	21	128.4215	128.4215	NUM
iajs-1817	182	22	5	5	NUM
iajs-1817	182	23	40045879	40045879	NUM
iajs-1817	182	24	40045879	40045879	NUM
iajs-1817	182	25	127.8283	127.8283	NUM
iajs-1817	182	26	40045879	40045879	NUM
iajs-1817	182	27	127.8793	127.8793	NUM
iajs-1817	182	28	no	no	NOUN
iajs-1817	182	29	.	.	PUNCT
iajs-1817	183	1	of	of	ADP
iajs-1817	183	2	best	good	ADJ
iajs-1817	183	3	5	5	NUM
iajs-1817	183	4	5	5	NUM
iajs-1817	183	5	4000	4000	NUM
iajs-1817	183	6	1	1	NUM
iajs-1817	183	7	79877216	79877216	NUM
iajs-1817	183	8	79877216	79877216	NUM
iajs-1817	183	9	164.5052	164.5052	NUM
iajs-1817	183	10	79877216	79877216	NUM
iajs-1817	183	11	164.7037	164.7037	NUM
iajs-1817	183	12	2	2	NUM
iajs-1817	183	13	79609210	79609210	NUM
iajs-1817	183	14	79609210	79609210	NUM
iajs-1817	183	15	168.6264	168.6264	NUM
iajs-1817	183	16	79609210	79609210	NUM
iajs-1817	183	17	165.2966	165.2966	NUM
iajs-1817	183	18	3	3	NUM
iajs-1817	183	19	78861024	78861024	NUM
iajs-1817	183	20	78861024	78861024	NUM
iajs-1817	183	21	164.0467	164.0467	NUM
iajs-1817	183	22	78861024	78861024	NUM
iajs-1817	183	23	164.4531	164.4531	NUM
iajs-1817	183	24	4	4	NUM
iajs-1817	183	25	71495346	71495346	NUM
iajs-1817	183	26	71495346	71495346	NUM
iajs-1817	183	27	175.1210	175.1210	NUM
iajs-1817	183	28	71495346	71495346	NUM
iajs-1817	183	29	166.4173	166.4173	NUM
iajs-1817	183	30	5	5	NUM
iajs-1817	183	31	70029765	70029765	NUM
iajs-1817	183	32	70029765	70029765	NUM
iajs-1817	183	33	165.5078	165.5078	NUM
iajs-1817	183	34	70029765	70029765	NUM
iajs-1817	183	35	166.7640	166.7640	NUM
iajs-1817	183	36	no	no	NOUN
iajs-1817	183	37	.	.	PUNCT
iajs-1817	183	38	of	of	ADP
iajs-1817	183	39	best	good	ADJ
iajs-1817	183	40	5	5	NUM
iajs-1817	183	41	5	5	NUM
iajs-1817	183	42	5000	5000	NUM
iajs-1817	183	43	1	1	NUM
iajs-1817	183	44	123462832	123462832	NUM
iajs-1817	183	45	123462832	123462832	NUM
iajs-1817	183	46	207.2337	207.2337	NUM
iajs-1817	183	47	123462832	123462832	NUM
iajs-1817	183	48	214.6064	214.6064	NUM
iajs-1817	183	49	2	2	NUM
iajs-1817	183	50	121049540	121049540	NUM
iajs-1817	183	51	121049540	121049540	NUM
iajs-1817	183	52	214.2919	214.2919	NUM
iajs-1817	183	53	121049540	121049540	NUM
iajs-1817	183	54	216.2722	216.2722	NUM
iajs-1817	183	55	3	3	NUM
iajs-1817	183	56	110342921	110342921	NUM
iajs-1817	183	57	110342921	110342921	NUM
iajs-1817	183	58	206.2056	206.2056	NUM
iajs-1817	183	59	110342921	110342921	NUM
iajs-1817	183	60	223.8944	223.8944	NUM
iajs-1817	183	61	4	4	NUM
iajs-1817	183	62	109574701	109574701	NUM
iajs-1817	183	63	109574701	109574701	NUM
iajs-1817	183	64	225.0643	225.0643	NUM
iajs-1817	183	65	109574701	109574701	NUM
iajs-1817	183	66	204.9242	204.9242	NUM
iajs-1817	183	67	5	5	NUM
iajs-1817	183	68	111141203	111141203	NUM
iajs-1817	183	69	111141203	111141203	NUM
iajs-1817	183	70	204.3804	204.3804	NUM
iajs-1817	183	71	111141203	111141203	NUM
iajs-1817	183	72	206.6917	206.6917	NUM
iajs-1817	183	73	no	no	NOUN
iajs-1817	183	74	.	.	PUNCT
iajs-1817	184	1	of	of	ADP
iajs-1817	184	2	best	good	ADJ
iajs-1817	184	3	5	5	NUM
iajs-1817	184	4	5	5	NUM
iajs-1817	184	5	ihsciconf	ihsciconf	NOUN
iajs-1817	184	6	2017	2017	NUM
iajs-1817	184	7	special	special	ADJ
iajs-1817	184	8	issue	issue	NOUN
iajs-1817	184	9	ibn	ibn	PROPN
iajs-1817	184	10	al	al	PROPN
iajs-1817	184	11	-	-	PUNCT
iajs-1817	184	12	haitham	haitham	PROPN
iajs-1817	184	13	journal	journal	PROPN
iajs-1817	184	14	for	for	ADP
iajs-1817	184	15	pure	pure	ADJ
iajs-1817	184	16	and	and	CCONJ
iajs-1817	184	17	applied	apply	VERB
iajs-1817	184	18	science	science	NOUN
iajs-1817	184	19	https://doi.org/	https://doi.org/	NOUN
iajs-1817	184	20	10.30526/2017.ihsciconf.1817	10.30526/2017.ihsciconf.1817	NUM
iajs-1817	184	21	for	for	ADP
iajs-1817	184	22	more	more	ADJ
iajs-1817	184	23	information	information	NOUN
iajs-1817	184	24	about	about	ADP
iajs-1817	184	25	the	the	DET
iajs-1817	184	26	conference	conference	NOUN
iajs-1817	184	27	please	please	INTJ
iajs-1817	184	28	visit	visit	VERB
iajs-1817	184	29	the	the	DET
iajs-1817	184	30	websites	website	NOUN
iajs-1817	184	31	:	:	PUNCT
iajs-1817	184	32	http://www.ihsciconf.org/conf/	http://www.ihsciconf.org/conf/	VERB
iajs-1817	184	33	   	   	SPACE
iajs-1817	184	34	www.ihsciconf.org	www.ihsciconf.org	ADJ
iajs-1817	184	35	   	   	SPACE
iajs-1817	184	36	mathematics|451	mathematics|451	NOUN
iajs-1817	184	37	    	    	SPACE
iajs-1817	184	38	4	4	NUM
iajs-1817	184	39	.	.	PUNCT
iajs-1817	184	40	conclusion	conclusion	NOUN
iajs-1817	184	41	in	in	ADP
iajs-1817	184	42	this	this	DET
iajs-1817	184	43	thesis	thesis	NOUN
iajs-1817	184	44	,	,	PUNCT
iajs-1817	184	45	the	the	DET
iajs-1817	184	46	problems	problem	NOUN
iajs-1817	184	47	of	of	ADP
iajs-1817	184	48	scheduling	scheduling	NOUN
iajs-1817	184	49	jobs	job	NOUN
iajs-1817	184	50	on	on	ADP
iajs-1817	184	51	one	one	NUM
iajs-1817	184	52	machine	machine	NOUN
iajs-1817	184	53	for	for	ADP
iajs-1817	184	54	a	a	DET
iajs-1817	184	55	variety	variety	NOUN
iajs-1817	184	56	of	of	ADP
iajs-1817	184	57	multicriteria	multicriteria	PROPN
iajs-1817	184	58	are	be	AUX
iajs-1817	184	59	considered	consider	VERB
iajs-1817	184	60	.	.	PUNCT
iajs-1817	185	1	we	we	PRON
iajs-1817	185	2	propose	propose	VERB
iajs-1817	185	3	algorithm	algorithm	NOUN
iajs-1817	185	4	,	,	PUNCT
iajs-1817	185	5	which	which	PRON
iajs-1817	185	6	gave	give	VERB
iajs-1817	185	7	set	set	NOUN
iajs-1817	185	8	of	of	ADP
iajs-1817	185	9	efficient	efficient	ADJ
iajs-1817	185	10	solutions	solution	NOUN
iajs-1817	185	11	for	for	ADP
iajs-1817	185	12	the	the	DET
iajs-1817	185	13	problem	problem	NOUN
iajs-1817	185	14	(	(	PUNCT
iajs-1817	185	15	p	p	NOUN
iajs-1817	185	16	)	)	PUNCT
iajs-1817	185	17	1//(∑c	1//(∑c	NOUN
iajs-1817	185	18	,	,	PUNCT
iajs-1817	185	19	∑t	∑t	PROPN
iajs-1817	185	20	,	,	PUNCT
iajs-1817	185	21	∑e	∑e	PROPN
iajs-1817	185	22	,	,	PUNCT
iajs-1817	185	23	t	t	PROPN
iajs-1817	185	24	,	,	PUNCT
iajs-1817	185	25	e	e	PROPN
iajs-1817	185	26	)	)	PUNCT
iajs-1817	185	27	.	.	PUNCT
iajs-1817	186	1	a	a	DET
iajs-1817	186	2	local	local	ADJ
iajs-1817	186	3	search	search	NOUN
iajs-1817	186	4	algorithm	algorithm	NOUN
iajs-1817	186	5	(	(	PUNCT
iajs-1817	186	6	dm	dm	PROPN
iajs-1817	186	7	and	and	CCONJ
iajs-1817	186	8	sm	sm	NOUN
iajs-1817	186	9	)	)	PUNCT
iajs-1817	186	10	are	be	AUX
iajs-1817	186	11	used	use	VERB
iajs-1817	186	12	to	to	PART
iajs-1817	186	13	find	find	VERB
iajs-1817	186	14	near	near	ADP
iajs-1817	186	15	optimal	optimal	ADJ
iajs-1817	186	16	solution	solution	NOUN
iajs-1817	186	17	for	for	ADP
iajs-1817	186	18	problem	problem	NOUN
iajs-1817	186	19	(	(	PUNCT
iajs-1817	186	20	sp	sp	NOUN
iajs-1817	186	21	)	)	PUNCT
iajs-1817	186	22	of	of	ADP
iajs-1817	186	23	size	size	NOUN
iajs-1817	186	24	(	(	PUNCT
iajs-1817	186	25	5000	5000	NUM
iajs-1817	186	26	)	)	PUNCT
iajs-1817	186	27	jobs	job	NOUN
iajs-1817	186	28	.	.	PUNCT
iajs-1817	187	1	references	reference	NOUN
iajs-1817	187	2	[	[	X
iajs-1817	187	3	1	1	NUM
iajs-1817	187	4	]	]	X
iajs-1817	187	5	t.s	t.s	PROPN
iajs-1817	187	6	.	.	PROPN
iajs-1817	187	7	abdul	abdul	PROPN
iajs-1817	187	8	-	-	PUNCT
iajs-1817	187	9	razaq	razaq	PROPN
iajs-1817	187	10	and	and	CCONJ
iajs-1817	187	11	z.m	z.m	PROPN
iajs-1817	187	12	.	.	PROPN
iajs-1817	187	13	ali	ali	PROPN
iajs-1817	187	14	"	"	PUNCT
iajs-1817	187	15	minimizing	minimize	VERB
iajs-1817	187	16	the	the	DET
iajs-1817	187	17	total	total	ADJ
iajs-1817	187	18	completion	completion	NOUN
iajs-1817	187	19	time	time	NOUN
iajs-1817	187	20	,	,	PUNCT
iajs-1817	187	21	the	the	DET
iajs-1817	187	22	total	total	ADJ
iajs-1817	187	23	tardiness	tardiness	NOUN
iajs-1817	187	24	and	and	CCONJ
iajs-1817	187	25	the	the	DET
iajs-1817	187	26	maximum	maximum	ADJ
iajs-1817	187	27	tardiness	tardiness	NOUN
iajs-1817	187	28	"	"	PUNCT
iajs-1817	187	29	,	,	PUNCT
iajs-1817	187	30	ibn	ibn	PROPN
iajs-1817	187	31	al	al	PROPN
iajs-1817	187	32	-	-	PUNCT
iajs-1817	187	33	haitham	haitham	PROPN
iajs-1817	187	34	.	.	PUNCT
iajs-1817	188	1	j.	j.	PROPN
iajs-1817	188	2	for	for	ADP
iajs-1817	188	3	pure	pure	PROPN
iajs-1817	188	4	&	&	CCONJ
iajs-1817	188	5	appl	appl	PROPN
iajs-1817	188	6	.	.	PUNCT
iajs-1817	189	1	sci	sci	PROPN
iajs-1817	189	2	.	.	PROPN
iajs-1817	189	3	28	28	NUM
iajs-1817	189	4	,	,	PUNCT
iajs-1817	189	5	155170	155170	NUM
iajs-1817	189	6	.	.	PUNCT
iajs-1817	190	1	2015	2015	NUM
iajs-1817	191	1	[	[	X
iajs-1817	191	2	2	2	NUM
iajs-1817	191	3	]	]	X
iajs-1817	191	4	t.s	t.s	PROPN
iajs-1817	191	5	.	.	PROPN
iajs-1817	191	6	abdul	abdul	PROPN
iajs-1817	191	7	-	-	PUNCT
iajs-1817	191	8	razaq	razaq	PROPN
iajs-1817	191	9	and	and	CCONJ
iajs-1817	191	10	z.m	z.m	PROPN
iajs-1817	191	11	.	.	PROPN
iajs-1817	191	12	ali	ali	PROPN
iajs-1817	191	13	"	"	PUNCT
iajs-1817	191	14	minimizing	minimize	VERB
iajs-1817	191	15	the	the	DET
iajs-1817	191	16	total	total	ADJ
iajs-1817	191	17	completion	completion	NOUN
iajs-1817	191	18	time	time	NOUN
iajs-1817	191	19	,	,	PUNCT
iajs-1817	191	20	the	the	DET
iajs-1817	191	21	total	total	ADJ
iajs-1817	191	22	earliness	earliness	NOUN
iajs-1817	191	23	and	and	CCONJ
iajs-1817	191	24	the	the	DET
iajs-1817	191	25	maximum	maximum	ADJ
iajs-1817	191	26	earliness".2016	earliness".2016	NOUN
iajs-1817	191	27	[	[	X
iajs-1817	191	28	3	3	X
iajs-1817	191	29	]	]	X
iajs-1817	191	30	t.s	t.s	PROPN
iajs-1817	191	31	.	.	PROPN
iajs-1817	191	32	abdul	abdul	PROPN
iajs-1817	191	33	-	-	PUNCT
iajs-1817	191	34	razaq	razaq	ADJ
iajs-1817	191	35	,	,	PUNCT
iajs-1817	191	36	manal	manal	ADJ
iajs-1817	191	37	g.	g.	PROPN
iajs-1817	191	38	ahmed	ahmed	PROPN
iajs-1817	191	39	and	and	CCONJ
iajs-1817	191	40	h.	h.	PROPN
iajs-1817	191	41	manal	manal	PROPN
iajs-1817	191	42	.	.	PUNCT
iajs-1817	192	1	ibrahim	ibrahim	PROPN
iajs-1817	192	2	,	,	PUNCT
iajs-1817	192	3	"	"	PUNCT
iajs-1817	192	4	equivalent	equivalent	ADJ
iajs-1817	192	5	between	between	ADP
iajs-1817	192	6	weighted	weight	VERB
iajs-1817	192	7	earliness	earliness	NOUN
iajs-1817	192	8	and	and	CCONJ
iajs-1817	192	9	weighted	weight	VERB
iajs-1817	192	10	tardiness	tardiness	ADJ
iajs-1817	192	11	problems	problem	NOUN
iajs-1817	192	12	on	on	ADP
iajs-1817	192	13	a	a	DET
iajs-1817	192	14	single	single	ADJ
iajs-1817	192	15	machine	machine	NOUN
iajs-1817	192	16	"	"	PUNCT
iajs-1817	192	17	,	,	PUNCT
iajs-1817	192	18	al	al	PROPN
iajs-1817	192	19	mustansiriyah	mustansiriyah	PROPN
iajs-1817	192	20	j.	j.	PROPN
iajs-1817	192	21	sci	sci	PROPN
iajs-1817	192	22	.	.	PUNCT
iajs-1817	192	23	2013	2013	NUM
iajs-1817	193	1	[	[	X
iajs-1817	193	2	4	4	X
iajs-1817	193	3	]	]	X
iajs-1817	193	4	t.s	t.s	PROPN
iajs-1817	193	5	abdul	abdul	PROPN
iajs-1817	193	6	-	-	PUNCT
iajs-1817	193	7	razaq	razaq	PROPN
iajs-1817	193	8	and	and	CCONJ
iajs-1817	193	9	a.o	a.o	PROPN
iajs-1817	193	10	.	.	PROPN
iajs-1817	193	11	akram	akram	PROPN
iajs-1817	193	12	.	.	PUNCT
iajs-1817	194	1	"	"	PUNCT
iajs-1817	194	2	minimizing	minimize	VERB
iajs-1817	194	3	multi	multi	NOUN
iajs-1817	194	4	-	-	NOUN
iajs-1817	194	5	criteria	criterion	NOUN
iajs-1817	194	6	on	on	ADP
iajs-1817	194	7	a	a	DET
iajs-1817	194	8	single	single	ADJ
iajs-1817	194	9	machine	machine	NOUN
iajs-1817	194	10	"	"	PUNCT
iajs-1817	194	11	to	to	PART
iajs-1817	194	12	appear	appear	VERB
iajs-1817	194	13	in	in	ADP
iajs-1817	194	14	journal	journal	NOUN
iajs-1817	194	15	of	of	ADP
iajs-1817	194	16	education	education	PROPN
iajs-1817	194	17	almustansiriyah	almustansiriyah	PROPN
iajs-1817	194	18	university	university	PROPN
iajs-1817	194	19	.	.	PUNCT
iajs-1817	194	20	.2017	.2017	PUNCT
iajs-1817	195	1	[	[	X
iajs-1817	195	2	5	5	NUM
iajs-1817	195	3	]	]	X
iajs-1817	195	4	s.s	s.s	PROPN
iajs-1817	195	5	.	.	PROPN
iajs-1817	195	6	al	al	PROPN
iajs-1817	195	7	-	-	PUNCT
iajs-1817	195	8	assaf	assaf	PROPN
iajs-1817	195	9	.	.	PUNCT
iajs-1817	196	1	"	"	PUNCT
iajs-1817	196	2	solving	solve	VERB
iajs-1817	196	3	multiple	multiple	ADJ
iajs-1817	196	4	objectives	objective	NOUN
iajs-1817	196	5	scheduling	scheduling	NOUN
iajs-1817	196	6	problems	problem	NOUN
iajs-1817	196	7	"	"	PUNCT
iajs-1817	196	8	,	,	PUNCT
iajs-1817	196	9	m.sc	m.sc	PROPN
iajs-1817	196	10	.	.	PUNCT
iajs-1817	197	1	thesis	thesis	PROPN
iajs-1817	197	2	univ	univ	PROPN
iajs-1817	197	3	.	.	PUNCT
iajs-1817	198	1	of	of	ADP
iajs-1817	198	2	almustansiriyah	almustansiriyah	NOUN
iajs-1817	198	3	,	,	PUNCT
iajs-1817	198	4	college	college	NOUN
iajs-1817	198	5	of	of	ADP
iajs-1817	198	6	science	science	NOUN
iajs-1817	198	7	,	,	PUNCT
iajs-1817	198	8	dep	dep	NOUN
iajs-1817	198	9	.	.	PROPN
iajs-1817	198	10	of	of	ADP
iajs-1817	198	11	mathematics	mathematic	NOUN
iajs-1817	198	12	(	(	PUNCT
iajs-1817	198	13	2007	2007	NUM
iajs-1817	198	14	)	)	PUNCT
iajs-1817	198	15	.	.	PUNCT
iajs-1817	199	1	[	[	X
iajs-1817	199	2	6	6	NUM
iajs-1817	199	3	]	]	SYM
iajs-1817	199	4	du	du	PROPN
iajs-1817	199	5	,	,	PUNCT
iajs-1817	199	6	j.	j.	PROPN
iajs-1817	199	7	leung	leung	PROPN
iajs-1817	199	8	,	,	PUNCT
iajs-1817	199	9	j.	j.	PROPN
iajs-1817	199	10	y.	y.	PROPN
iajs-1817	199	11	t.	t.	PROPN
iajs-1817	199	12	minimizing	minimize	VERB
iajs-1817	199	13	total	total	ADJ
iajs-1817	199	14	tardiness	tardiness	NOUN
iajs-1817	199	15	on	on	ADP
iajs-1817	199	16	one	one	NUM
iajs-1817	199	17	processor	processor	NOUN
iajs-1817	199	18	is	be	AUX
iajs-1817	199	19	np	np	NOUN
iajs-1817	199	20	-	-	PUNCT
iajs-1817	199	21	hard	hard	ADJ
iajs-1817	199	22	,	,	PUNCT
iajs-1817	199	23	mathematics	mathematic	NOUN
iajs-1817	199	24	of	of	ADP
iajs-1817	199	25	operations	operation	NOUN
iajs-1817	199	26	research	research	NOUN
iajs-1817	199	27	,	,	PUNCT
iajs-1817	199	28	15	15	NUM
iajs-1817	199	29	,	,	PUNCT
iajs-1817	199	30	483	483	NUM
iajs-1817	199	31	-	-	SYM
iajs-1817	199	32	495	495	NUM
iajs-1817	199	33	.	.	PUNCT
iajs-1817	200	1	1990	1990	NUM
iajs-1817	200	2	[	[	X
iajs-1817	200	3	7	7	X
iajs-1817	200	4	]	]	X
iajs-1817	200	5	s.	s.	PROPN
iajs-1817	200	6	french	french	PROPN
iajs-1817	200	7	.	.	PUNCT
iajs-1817	201	1	"	"	PUNCT
iajs-1817	201	2	sequencing	sequence	VERB
iajs-1817	201	3	and	and	CCONJ
iajs-1817	201	4	scheduling	scheduling	NOUN
iajs-1817	201	5	:	:	PUNCT
iajs-1817	201	6	an	an	DET
iajs-1817	201	7	introduction	introduction	NOUN
iajs-1817	201	8	to	to	ADP
iajs-1817	201	9	the	the	DET
iajs-1817	201	10	mathematical	mathematical	NOUN
iajs-1817	201	11	of	of	ADP
iajs-1817	201	12	job	job	NOUN
iajs-1817	201	13	shop	shop	NOUN
iajs-1817	201	14	"	"	PUNCT
iajs-1817	201	15	,	,	PUNCT
iajs-1817	201	16	john	john	PROPN
iajs-1817	201	17	wiley	wiley	PROPN
iajs-1817	201	18	and	and	CCONJ
iajs-1817	201	19	sons	son	NOUN
iajs-1817	201	20	,	,	PUNCT
iajs-1817	201	21	new	new	PROPN
iajs-1817	201	22	york	york	PROPN
iajs-1817	201	23	,	,	PUNCT
iajs-1817	201	24	(	(	PUNCT
iajs-1817	201	25	1982	1982	NUM
iajs-1817	201	26	)	)	PUNCT
iajs-1817	201	27	.	.	PUNCT
iajs-1817	202	1	[	[	X
iajs-1817	202	2	8	8	NUM
iajs-1817	202	3	]	]	X
iajs-1817	202	4	j.a	j.a	PROPN
iajs-1817	202	5	.	.	PROPN
iajs-1817	202	6	hoogeveen	hoogeveen	PROPN
iajs-1817	202	7	,	,	PUNCT
iajs-1817	202	8	s.l	s.l	PROPN
iajs-1817	202	9	.	.	PROPN
iajs-1817	202	10	van	van	PROPN
iajs-1817	202	11	de	de	PROPN
iajs-1817	202	12	velde	velde	PROPN
iajs-1817	202	13	.	.	PUNCT
iajs-1817	203	1	“	"	PUNCT
iajs-1817	203	2	minimizing	minimize	VERB
iajs-1817	203	3	total	total	ADJ
iajs-1817	203	4	completion	completion	NOUN
iajs-1817	203	5	time	time	NOUN
iajs-1817	203	6	and	and	CCONJ
iajs-1817	203	7	maximum	maximum	ADJ
iajs-1817	203	8	cost	cost	NOUN
iajs-1817	203	9	simultaneously	simultaneously	ADV
iajs-1817	203	10	is	be	AUX
iajs-1817	203	11	solvable	solvable	ADJ
iajs-1817	203	12	in	in	ADP
iajs-1817	203	13	polynomial	polynomial	ADJ
iajs-1817	203	14	time	time	NOUN
iajs-1817	203	15	”	"	PUNCT
iajs-1817	203	16	,	,	PUNCT
iajs-1817	203	17	operations	operation	NOUN
iajs-1817	203	18	research	research	NOUN
iajs-1817	203	19	letters	letter	NOUN
iajs-1817	203	20	17	17	NUM
iajs-1817	203	21	,	,	PUNCT
iajs-1817	203	22	205	205	NUM
iajs-1817	203	23	–	–	PUNCT
iajs-1817	203	24	208(1995	208(1995	NUM
iajs-1817	203	25	)	)	PUNCT
iajs-1817	203	26	.	.	PUNCT
iajs-1817	204	1	[	[	X
iajs-1817	204	2	9	9	NUM
iajs-1817	204	3	]	]	X
iajs-1817	204	4	j.r	j.r	PROPN
iajs-1817	204	5	.	.	PROPN
iajs-1817	204	6	jackson	jackson	PROPN
iajs-1817	204	7	.	.	PUNCT
iajs-1817	205	1	“	"	PUNCT
iajs-1817	205	2	scheduling	schedule	VERB
iajs-1817	205	3	a	a	DET
iajs-1817	205	4	production	production	NOUN
iajs-1817	205	5	line	line	NOUN
iajs-1817	205	6	to	to	PART
iajs-1817	205	7	minimize	minimize	VERB
iajs-1817	205	8	maximum	maximum	ADJ
iajs-1817	205	9	tardiness	tardiness	NOUN
iajs-1817	205	10	”	"	PUNCT
iajs-1817	205	11	,	,	PUNCT
iajs-1817	205	12	research	research	NOUN
iajs-1817	205	13	report	report	NOUN
iajs-1817	205	14	43	43	NUM
iajs-1817	205	15	,	,	PUNCT
iajs-1817	205	16	management	management	NOUN
iajs-1817	205	17	sciences	sciences	PROPN
iajs-1817	205	18	research	research	NOUN
iajs-1817	205	19	project	project	NOUN
iajs-1817	205	20	,	,	PUNCT
iajs-1817	205	21	ucla(1955	ucla(1955	NOUN
iajs-1817	205	22	)	)	PUNCT
iajs-1817	205	23	.	.	PUNCT
iajs-1817	206	1	[	[	X
iajs-1817	206	2	10	10	NUM
iajs-1817	206	3	]	]	X
iajs-1817	206	4	m.e	m.e	PROPN
iajs-1817	206	5	.	.	PROPN
iajs-1817	206	6	kurz	kurz	PROPN
iajs-1817	206	7	and	and	CCONJ
iajs-1817	206	8	s.	s.	PROPN
iajs-1817	206	9	canterbury	canterbury	PROPN
iajs-1817	206	10	.''minimizing	.''minimizing	PROPN
iajs-1817	206	11	total	total	ADJ
iajs-1817	206	12	flow	flow	NOUN
iajs-1817	206	13	time	time	NOUN
iajs-1817	206	14	and	and	CCONJ
iajs-1817	206	15	maximum	maximum	ADJ
iajs-1817	206	16	earliness	earliness	NOUN
iajs-1817	206	17	on	on	ADP
iajs-1817	206	18	a	a	DET
iajs-1817	206	19	single	single	ADJ
iajs-1817	206	20	machine	machine	NOUN
iajs-1817	206	21	using	use	VERB
iajs-1817	206	22	multiple	multiple	ADJ
iajs-1817	206	23	measures	measure	NOUN
iajs-1817	206	24	of	of	ADP
iajs-1817	206	25	fitness	fitness	NOUN
iajs-1817	206	26	"	"	PUNCT
iajs-1817	206	27	,	,	PUNCT
iajs-1817	206	28	genetic	genetic	ADJ
iajs-1817	206	29	and	and	CCONJ
iajs-1817	206	30	evolutionary	evolutionary	ADJ
iajs-1817	206	31	computation	computation	NOUN
iajs-1817	206	32	conference	conference	NOUN
iajs-1817	206	33	,	,	PUNCT
iajs-1817	206	34	803	803	NUM
iajs-1817	206	35	-	-	SYM
iajs-1817	206	36	809	809	NUM
iajs-1817	206	37	.	.	NUM
iajs-1817	206	38	2005	2005	NUM
iajs-1817	207	1	[	[	X
iajs-1817	207	2	11	11	NUM
iajs-1817	207	3	]	]	PUNCT
iajs-1817	207	4	e.	e.	PROPN
iajs-1817	207	5	lawler	lawler	PROPN
iajs-1817	207	6	.	.	PUNCT
iajs-1817	208	1	"	"	PUNCT
iajs-1817	208	2	a	a	DET
iajs-1817	208	3	pseudo	pseudo	NOUN
iajs-1817	208	4	-	-	ADJ
iajs-1817	208	5	polynomial	polynomial	ADJ
iajs-1817	208	6	algorithm	algorithm	NOUN
iajs-1817	208	7	for	for	ADP
iajs-1817	208	8	sequencing	sequence	VERB
iajs-1817	208	9	jobs	job	NOUN
iajs-1817	208	10	to	to	PART
iajs-1817	208	11	minimize	minimize	VERB
iajs-1817	208	12	total	total	ADJ
iajs-1817	208	13	tardiness	tardiness	NOUN
iajs-1817	208	14	"	"	PUNCT
iajs-1817	208	15	annals	annal	NOUN
iajs-1817	208	16	of	of	ADP
iajs-1817	208	17	research	research	NOUN
iajs-1817	208	18	letters	letter	NOUN
iajs-1817	208	19	,	,	PUNCT
iajs-1817	208	20	1:207–208	1:207–208	NUM
iajs-1817	208	21	,	,	PUNCT
iajs-1817	208	22	1977	1977	NUM
iajs-1817	208	23	.	.	PUNCT
iajs-1817	209	1	[	[	X
iajs-1817	209	2	12	12	NUM
iajs-1817	209	3	]	]	PUNCT
iajs-1817	209	4	g.moslehi	g.moslehi	NOUN
iajs-1817	209	5	,	,	PUNCT
iajs-1817	209	6	r.moghaddam	r.moghaddam	NOUN
iajs-1817	209	7	,	,	PUNCT
iajs-1817	209	8	m.vasei	m.vasei	NUM
iajs-1817	209	9	,	,	PUNCT
iajs-1817	209	10	and	and	CCONJ
iajs-1817	209	11	a.azaron	a.azaron	X
iajs-1817	209	12	.	.	PUNCT
iajs-1817	210	1	“	"	PUNCT
iajs-1817	210	2	optimal	optimal	ADJ
iajs-1817	210	3	scheduling	scheduling	NOUN
iajs-1817	210	4	for	for	ADP
iajs-1817	210	5	a	a	DET
iajs-1817	210	6	single	single	ADJ
iajs-1817	210	7	machine	machine	NOUN
iajs-1817	210	8	to	to	PART
iajs-1817	210	9	minimize	minimize	VERB
iajs-1817	210	10	the	the	DET
iajs-1817	210	11	sum	sum	NOUN
iajs-1817	210	12	of	of	ADP
iajs-1817	210	13	maximum	maximum	ADJ
iajs-1817	210	14	earliness	earliness	NOUN
iajs-1817	210	15	and	and	CCONJ
iajs-1817	210	16	tardiness	tardiness	NOUN
iajs-1817	210	17	considering	consider	VERB
iajs-1817	210	18	idle	idle	ADJ
iajs-1817	210	19	insert	insert	NOUN
iajs-1817	210	20	"	"	PUNCT
iajs-1817	210	21	,	,	PUNCT
iajs-1817	210	22	applied	apply	VERB
iajs-1817	210	23	mathematics	mathematic	NOUN
iajs-1817	210	24	and	and	CCONJ
iajs-1817	210	25	computation	computation	NOUN
iajs-1817	210	26	167	167	NUM
iajs-1817	210	27	,	,	PUNCT
iajs-1817	210	28	1430–1450(2005	1430–1450(2005	NUM
iajs-1817	210	29	)	)	PUNCT
iajs-1817	210	30	.	.	PUNCT
iajs-1817	211	1	[	[	X
iajs-1817	211	2	13	13	NUM
iajs-1817	211	3	]	]	X
iajs-1817	211	4	smith	smith	PROPN
iajs-1817	211	5	w.e	w.e	PROPN
iajs-1817	211	6	.	.	PROPN
iajs-1817	211	7	,	,	PUNCT
iajs-1817	211	8	"	"	PUNCT
iajs-1817	211	9	various	various	ADJ
iajs-1817	211	10	optimizers	optimizer	NOUN
iajs-1817	211	11	for	for	ADP
iajs-1817	211	12	single	single	ADJ
iajs-1817	211	13	stage	stage	NOUN
iajs-1817	211	14	production	production	NOUN
iajs-1817	211	15	"	"	PUNCT
iajs-1817	211	16	,	,	PUNCT
iajs-1817	211	17	naval	naval	ADJ
iajs-1817	211	18	research	research	NOUN
iajs-1817	211	19	logistics	logistic	NOUN
iajs-1817	211	20	quarterly	quarterly	PROPN
iajs-1817	211	21	3/1	3/1	NUM
iajs-1817	211	22	,	,	PUNCT
iajs-1817	211	23	59	59	NUM
iajs-1817	211	24	-	-	SYM
iajs-1817	211	25	66(1956	66(1956	NUM
iajs-1817	211	26	)	)	PUNCT
iajs-1817	211	27	.	.	PUNCT
iajs-1817	212	1	[	[	X
iajs-1817	212	2	14	14	NUM
iajs-1817	212	3	]	]	X
iajs-1817	212	4	e.	e.	PROPN
iajs-1817	212	5	steure	steure	PROPN
iajs-1817	212	6	ralph	ralph	PROPN
iajs-1817	212	7	.	.	PUNCT
iajs-1817	213	1	"	"	PUNCT
iajs-1817	213	2	multiple	multiple	ADJ
iajs-1817	213	3	criteria	criterion	NOUN
iajs-1817	213	4	optimization	optimization	NOUN
iajs-1817	213	5	:	:	PUNCT
iajs-1817	213	6	theory	theory	NOUN
iajs-1817	213	7	,	,	PUNCT
iajs-1817	213	8	computation	computation	NOUN
iajs-1817	213	9	and	and	CCONJ
iajs-1817	213	10	application	application	NOUN
iajs-1817	213	11	"	"	PUNCT
iajs-1817	213	12	willey	willey	NOUN
iajs-1817	213	13	,	,	PUNCT
iajs-1817	213	14	(	(	PUNCT
iajs-1817	213	15	1986	1986	NUM
iajs-1817	213	16	)	)	PUNCT
iajs-1817	213	17	.	.	PUNCT
iajs-1817	214	1	[	[	X
iajs-1817	214	2	15	15	NUM
iajs-1817	214	3	]	]	X
iajs-1817	214	4	r.	r.	PROPN
iajs-1817	214	5	tadei	tadei	PROPN
iajs-1817	214	6	,	,	PUNCT
iajs-1817	214	7	a.	a.	PROPN
iajs-1817	214	8	grosso	grosso	PROPN
iajs-1817	214	9	,	,	PUNCT
iajs-1817	214	10	,	,	PUNCT
iajs-1817	214	11	and	and	CCONJ
iajs-1817	214	12	f.	f.	PROPN
iajs-1817	214	13	della	della	PROPN
iajs-1817	214	14	croce	croce	PROPN
iajs-1817	214	15	.	.	PUNCT
iajs-1817	215	1	"	"	PUNCT
iajs-1817	215	2	finding	find	VERB
iajs-1817	215	3	the	the	DET
iajs-1817	215	4	pareto	pareto	NOUN
iajs-1817	215	5	-	-	PUNCT
iajs-1817	215	6	optima	optima	NOUN
iajs-1817	215	7	for	for	ADP
iajs-1817	215	8	the	the	DET
iajs-1817	215	9	total	total	ADJ
iajs-1817	215	10	and	and	CCONJ
iajs-1817	215	11	maximum	maximum	ADJ
iajs-1817	215	12	tardiness	tardiness	ADJ
iajs-1817	215	13	single	single	ADJ
iajs-1817	215	14	machine	machine	NOUN
iajs-1817	215	15	problem	problem	NOUN
iajs-1817	215	16	"	"	PUNCT
iajs-1817	215	17	,	,	PUNCT
iajs-1817	215	18	discrete	discrete	ADJ
iajs-1817	215	19	applied	apply	VERB
iajs-1817	215	20	mathematics	mathematic	NOUN
iajs-1817	215	21	124	124	NUM
iajs-1817	215	22	,	,	PUNCT
iajs-1817	215	23	117126	117126	NUM
iajs-1817	215	24	.	.	PUNCT
iajs-1817	216	1	2002	2002	NUM
iajs-1817	217	1	[	[	X
iajs-1817	217	2	16	16	NUM
iajs-1817	217	3	]	]	X
iajs-1817	217	4	l.n	l.n	PROPN
iajs-1817	217	5	.	.	PROPN
iajs-1817	217	6	van	van	PROPN
iajs-1817	217	7	wassenhove	wassenhove	PROPN
iajs-1817	217	8	and	and	CCONJ
iajs-1817	217	9	f.	f.	PROPN
iajs-1817	217	10	gelders	gelders	PROPN
iajs-1817	217	11	"	"	PUNCT
iajs-1817	217	12	solving	solve	VERB
iajs-1817	217	13	a	a	DET
iajs-1817	217	14	bicriterion	bicriterion	NOUN
iajs-1817	217	15	scheduling	scheduling	NOUN
iajs-1817	217	16	problem	problem	NOUN
iajs-1817	217	17	"	"	PUNCT
iajs-1817	217	18	,	,	PUNCT
iajs-1817	217	19	european	european	PROPN
iajs-1817	217	20	journal	journal	PROPN
iajs-1817	217	21	of	of	ADP
iajs-1817	217	22	operational	operational	ADJ
iajs-1817	217	23	research	research	NOUN
iajs-1817	217	24	4/1	4/1	NUM
iajs-1817	217	25	,	,	PUNCT
iajs-1817	217	26	42	42	NUM
iajs-1817	217	27	-	-	SYM
iajs-1817	217	28	48(1980	48(1980	NUM
iajs-1817	217	29	)	)	PUNCT
iajs-1817	217	30	.	.	PUNCT
iajs-1817	217	31	  	  	SPACE