id	sid	tid	token	lemma	pos
iajs-221	1	1	microsoft	microsoft	PROPN
iajs-221	1	2	word	word	PROPN
iajs-221	1	3	155	155	NUM
iajs-221	1	4	-	-	SYM
iajs-221	1	5	170	170	NUM
iajs-221	1	6	155	155	NUM
iajs-221	1	7	|	|	NOUN
iajs-221	1	8	mathematics	mathematic	NOUN
iajs-221	1	9	٢٠١٥	٢٠١٥	NUM
iajs-221	1	10	)	)	PUNCT
iajs-221	1	11	عام	عام	ADP
iajs-221	1	12	٢العدد	٢العدد	PROPN
iajs-221	1	13	(	(	PUNCT
iajs-221	1	14	٢٨مجلة	٢٨مجلة	X
iajs-221	1	15	ابن	ابن	PROPN
iajs-221	1	16	الھيثم	الھيثم	PROPN
iajs-221	1	17	للعلوم	للعلوم	PROPN
iajs-221	1	18	الصرفة	الصرفة	PROPN
iajs-221	1	19	والتطبيقية	والتطبيقية	PRON
iajs-221	1	20	المجلد	المجلد	VERB
iajs-221	1	21	ibn	ibn	PROPN
iajs-221	1	22	al	al	PROPN
iajs-221	1	23	-	-	PUNCT
iajs-221	1	24	haitham	haitham	PROPN
iajs-221	1	25	.	.	PUNCT
iajs-221	2	1	j.	j.	PROPN
iajs-221	2	2	for	for	ADP
iajs-221	2	3	pure	pure	PROPN
iajs-221	2	4	&	&	CCONJ
iajs-221	2	5	appl	appl	PROPN
iajs-221	2	6	.	.	PUNCT
iajs-221	3	1	sci	sci	PROPN
iajs-221	3	2	.	.	PUNCT
iajs-221	3	3	vol	vol	NOUN
iajs-221	3	4	.	.	PROPN
iajs-221	4	1	28	28	NUM
iajs-221	4	2	(	(	PUNCT
iajs-221	4	3	2	2	NUM
iajs-221	4	4	)	)	PUNCT
iajs-221	4	5	2015	2015	NUM
iajs-221	4	6	minimizing	minimize	VERB
iajs-221	4	7	the	the	DET
iajs-221	4	8	total	total	ADJ
iajs-221	4	9	completion	completion	NOUN
iajs-221	4	10	times	time	NOUN
iajs-221	4	11	,	,	PUNCT
iajs-221	5	1	the	the	DET
iajs-221	5	2	total	total	ADJ
iajs-221	5	3	tardiness	tardiness	NOUN
iajs-221	5	4	and	and	CCONJ
iajs-221	5	5	the	the	DET
iajs-221	5	6	maximum	maximum	ADJ
iajs-221	5	7	tardiness	tardiness	NOUN
iajs-221	5	8	tariq	tariq	PROPN
iajs-221	5	9	s.	s.	PROPN
iajs-221	5	10	abdul	abdul	PROPN
iajs-221	5	11	-	-	PUNCT
iajs-221	5	12	razaq	razaq	PROPN
iajs-221	5	13	zainab	zainab	PROPN
iajs-221	5	14	m.	m.	PROPN
iajs-221	5	15	ali	ali	PROPN
iajs-221	5	16	dept	dept	PROPN
iajs-221	5	17	.	.	PROPN
iajs-221	5	18	of	of	ADP
iajs-221	5	19	mathematics	mathematics	PROPN
iajs-221	5	20	/	/	SYM
iajs-221	5	21	college	college	NOUN
iajs-221	5	22	of	of	ADP
iajs-221	5	23	science	science	PROPN
iajs-221	5	24	/	/	SYM
iajs-221	5	25	university	university	PROPN
iajs-221	5	26	of	of	ADP
iajs-221	5	27	al	al	PROPN
iajs-221	5	28	-	-	PUNCT
iajs-221	5	29	mustansiriyah	mustansiriyah	NOUN
iajs-221	5	30	received	receive	VERB
iajs-221	5	31	in	in	ADP
iajs-221	5	32	:	:	PUNCT
iajs-221	5	33	25	25	NUM
iajs-221	5	34	february	february	NOUN
iajs-221	5	35	2015	2015	NUM
iajs-221	5	36	,	,	PUNCT
iajs-221	5	37	accepted	accept	VERB
iajs-221	5	38	in	in	ADP
iajs-221	5	39	:	:	PUNCT
iajs-221	5	40	26	26	NUM
iajs-221	5	41	april	april	PROPN
iajs-221	5	42	2015	2015	NUM
iajs-221	5	43	abstract	abstract	NOUN
iajs-221	5	44	in	in	ADP
iajs-221	5	45	this	this	DET
iajs-221	5	46	paper	paper	NOUN
iajs-221	5	47	,	,	PUNCT
iajs-221	5	48	the	the	DET
iajs-221	5	49	main	main	ADJ
iajs-221	5	50	work	work	NOUN
iajs-221	5	51	is	be	AUX
iajs-221	5	52	to	to	PART
iajs-221	5	53	minimize	minimize	VERB
iajs-221	5	54	a	a	DET
iajs-221	5	55	function	function	NOUN
iajs-221	5	56	of	of	ADP
iajs-221	5	57	three	three	NUM
iajs-221	5	58	cost	cost	NOUN
iajs-221	5	59	criteria	criterion	NOUN
iajs-221	5	60	for	for	ADP
iajs-221	5	61	scheduling	scheduling	NOUN
iajs-221	5	62	n	n	CCONJ
iajs-221	5	63	jobs	job	NOUN
iajs-221	5	64	on	on	ADP
iajs-221	5	65	a	a	DET
iajs-221	5	66	single	single	ADJ
iajs-221	5	67	machine	machine	NOUN
iajs-221	5	68	.	.	PUNCT
iajs-221	6	1	we	we	PRON
iajs-221	6	2	proposed	propose	VERB
iajs-221	6	3	algorithms	algorithm	NOUN
iajs-221	6	4	to	to	PART
iajs-221	6	5	solve	solve	VERB
iajs-221	6	6	the	the	DET
iajs-221	6	7	single	single	ADJ
iajs-221	6	8	machine	machine	NOUN
iajs-221	6	9	scheduling	scheduling	NOUN
iajs-221	6	10	multiobjective	multiobjective	ADJ
iajs-221	6	11	problem	problem	NOUN
iajs-221	6	12	.	.	PUNCT
iajs-221	7	1	in	in	ADP
iajs-221	7	2	this	this	DET
iajs-221	7	3	problem	problem	NOUN
iajs-221	7	4	,	,	PUNCT
iajs-221	7	5	we	we	PRON
iajs-221	7	6	consider	consider	VERB
iajs-221	7	7	minimizing	minimize	VERB
iajs-221	7	8	the	the	DET
iajs-221	7	9	total	total	ADJ
iajs-221	7	10	completion	completion	NOUN
iajs-221	7	11	times	time	NOUN
iajs-221	7	12	,	,	PUNCT
iajs-221	7	13	total	total	ADJ
iajs-221	7	14	tardiness	tardiness	NOUN
iajs-221	7	15	and	and	CCONJ
iajs-221	7	16	maximum	maximum	ADJ
iajs-221	7	17	tardiness	tardiness	ADJ
iajs-221	7	18	criteria	criterion	NOUN
iajs-221	7	19	.	.	PUNCT
iajs-221	8	1	first	first	ADV
iajs-221	8	2	a	a	DET
iajs-221	8	3	branch	branch	NOUN
iajs-221	8	4	and	and	CCONJ
iajs-221	8	5	bound	bind	VERB
iajs-221	8	6	(	(	PUNCT
iajs-221	8	7	bab	bab	PROPN
iajs-221	8	8	)	)	PUNCT
iajs-221	8	9	algorithm	algorithm	NOUN
iajs-221	8	10	is	be	AUX
iajs-221	8	11	applied	apply	VERB
iajs-221	8	12	for	for	ADP
iajs-221	8	13	the	the	DET
iajs-221	8	14	1//∑ci+∑ti+tmax	1//∑ci+∑ti+tmax	NUM
iajs-221	8	15	problem	problem	NOUN
iajs-221	8	16	.	.	PUNCT
iajs-221	9	1	second	second	ADV
iajs-221	9	2	we	we	PRON
iajs-221	9	3	compare	compare	VERB
iajs-221	9	4	two	two	NUM
iajs-221	9	5	multiobjective	multiobjective	ADJ
iajs-221	9	6	algorithms	algorithm	NOUN
iajs-221	9	7	one	one	NUM
iajs-221	9	8	of	of	ADP
iajs-221	9	9	them	they	PRON
iajs-221	9	10	based	base	VERB
iajs-221	9	11	on	on	ADP
iajs-221	9	12	(	(	PUNCT
iajs-221	9	13	bab	bab	PROPN
iajs-221	9	14	)	)	PUNCT
iajs-221	9	15	algorithm	algorithm	NOUN
iajs-221	9	16	to	to	PART
iajs-221	9	17	find	find	VERB
iajs-221	9	18	the	the	DET
iajs-221	9	19	set	set	NOUN
iajs-221	9	20	of	of	ADP
iajs-221	9	21	efficient	efficient	ADJ
iajs-221	9	22	(	(	PUNCT
iajs-221	9	23	non	non	X
iajs-221	9	24	dominated	dominated	ADJ
iajs-221	9	25	)	)	PUNCT
iajs-221	9	26	solutions	solution	NOUN
iajs-221	9	27	for	for	ADP
iajs-221	9	28	the	the	DET
iajs-221	9	29	1//(∑ci	1//(∑ci	NUM
iajs-221	9	30	,	,	PUNCT
iajs-221	9	31	∑ti	∑ti	NUM
iajs-221	9	32	,	,	PUNCT
iajs-221	9	33	tmax	tmax	NUM
iajs-221	9	34	)	)	PUNCT
iajs-221	9	35	problem	problem	NOUN
iajs-221	9	36	.	.	PUNCT
iajs-221	10	1	the	the	DET
iajs-221	10	2	computational	computational	ADJ
iajs-221	10	3	results	result	NOUN
iajs-221	10	4	show	show	VERB
iajs-221	10	5	that	that	SCONJ
iajs-221	10	6	the	the	DET
iajs-221	10	7	algorithm	algorithm	NOUN
iajs-221	10	8	based	base	VERB
iajs-221	10	9	on	on	ADP
iajs-221	10	10	(	(	PUNCT
iajs-221	10	11	bab	bab	PROPN
iajs-221	10	12	)	)	PUNCT
iajs-221	10	13	algorithm	algorithm	NOUN
iajs-221	10	14	is	be	AUX
iajs-221	10	15	better	well	ADJ
iajs-221	10	16	than	than	ADP
iajs-221	10	17	the	the	DET
iajs-221	10	18	other	other	ADJ
iajs-221	10	19	one	one	NUM
iajs-221	10	20	for	for	ADP
iajs-221	10	21	generated	generate	VERB
iajs-221	10	22	the	the	DET
iajs-221	10	23	total	total	ADJ
iajs-221	10	24	number	number	NOUN
iajs-221	10	25	of	of	ADP
iajs-221	10	26	non	non	NOUN
iajs-221	10	27	dominated	dominate	VERB
iajs-221	10	28	solutions	solution	NOUN
iajs-221	10	29	.	.	PUNCT
iajs-221	11	1	keywords	keyword	NOUN
iajs-221	11	2	:	:	PUNCT
iajs-221	11	3	multiobjective	multiobjective	ADJ
iajs-221	11	4	optimization	optimization	NOUN
iajs-221	11	5	,	,	PUNCT
iajs-221	11	6	total	total	ADJ
iajs-221	11	7	completion	completion	NOUN
iajs-221	11	8	times	time	NOUN
iajs-221	11	9	,	,	PUNCT
iajs-221	11	10	total	total	ADJ
iajs-221	11	11	tardiness	tardiness	NOUN
iajs-221	11	12	,	,	PUNCT
iajs-221	11	13	maximum	maximum	ADJ
iajs-221	11	14	tardiness	tardiness	NOUN
iajs-221	11	15	,	,	PUNCT
iajs-221	11	16	non	non	X
iajs-221	11	17	dominated	dominate	VERB
iajs-221	11	18	solutions	solution	NOUN
iajs-221	11	19	.	.	PUNCT
iajs-221	12	1	156	156	NUM
iajs-221	13	1	|	|	ADV
iajs-221	13	2	mathematics	mathematic	NOUN
iajs-221	13	3	٢٠١٥	٢٠١٥	NUM
iajs-221	13	4	)	)	PUNCT
iajs-221	13	5	عام	عام	ADP
iajs-221	13	6	٢العدد	٢العدد	PROPN
iajs-221	13	7	(	(	PUNCT
iajs-221	13	8	٢٨مجلة	٢٨مجلة	X
iajs-221	13	9	ابن	ابن	PROPN
iajs-221	13	10	الھيثم	الھيثم	PROPN
iajs-221	13	11	للعلوم	للعلوم	PROPN
iajs-221	13	12	الصرفة	الصرفة	PROPN
iajs-221	13	13	والتطبيقية	والتطبيقية	PRON
iajs-221	13	14	المجلد	المجلد	VERB
iajs-221	13	15	ibn	ibn	PROPN
iajs-221	13	16	al	al	PROPN
iajs-221	13	17	-	-	PUNCT
iajs-221	13	18	haitham	haitham	PROPN
iajs-221	13	19	.	.	PUNCT
iajs-221	14	1	j.	j.	PROPN
iajs-221	14	2	for	for	ADP
iajs-221	14	3	pure	pure	PROPN
iajs-221	14	4	&	&	CCONJ
iajs-221	14	5	appl	appl	PROPN
iajs-221	14	6	.	.	PUNCT
iajs-221	15	1	sci	sci	PROPN
iajs-221	15	2	.	.	PUNCT
iajs-221	15	3	vol	vol	NOUN
iajs-221	15	4	.	.	PROPN
iajs-221	16	1	28	28	NUM
iajs-221	16	2	(	(	PUNCT
iajs-221	16	3	2	2	NUM
iajs-221	16	4	)	)	PUNCT
iajs-221	16	5	2015	2015	NUM
iajs-221	16	6	1	1	NUM
iajs-221	16	7	.	.	PUNCT
iajs-221	16	8	introduction	introduction	NOUN
iajs-221	16	9	for	for	ADP
iajs-221	16	10	many	many	ADJ
iajs-221	16	11	years	year	NOUN
iajs-221	16	12	,	,	PUNCT
iajs-221	16	13	scheduling	scheduling	NOUN
iajs-221	16	14	researchers	researcher	NOUN
iajs-221	16	15	focused	focus	VERB
iajs-221	16	16	on	on	ADP
iajs-221	16	17	single	single	ADJ
iajs-221	16	18	regular	regular	ADJ
iajs-221	16	19	performance	performance	NOUN
iajs-221	16	20	measures	measure	NOUN
iajs-221	16	21	that	that	PRON
iajs-221	16	22	are	be	AUX
iajs-221	16	23	non	non	ADJ
iajs-221	16	24	-	-	ADJ
iajs-221	16	25	decreasing	decrease	VERB
iajs-221	16	26	in	in	ADP
iajs-221	16	27	job	job	NOUN
iajs-221	16	28	completion	completion	NOUN
iajs-221	16	29	time	time	NOUN
iajs-221	16	30	.	.	PUNCT
iajs-221	17	1	the	the	DET
iajs-221	17	2	single	single	ADJ
iajs-221	17	3	machine	machine	NOUN
iajs-221	17	4	scheduling	scheduling	NOUN
iajs-221	17	5	problem	problem	NOUN
iajs-221	17	6	has	have	AUX
iajs-221	17	7	been	be	AUX
iajs-221	17	8	extensively	extensively	ADV
iajs-221	17	9	investigated	investigate	VERB
iajs-221	17	10	during	during	ADP
iajs-221	17	11	the	the	DET
iajs-221	17	12	last	last	ADJ
iajs-221	17	13	decades	decade	NOUN
iajs-221	17	14	[	[	X
iajs-221	17	15	1],[2],[3],[4],[5],[6],[7	1],[2],[3],[4],[5],[6],[7	NOUN
iajs-221	17	16	]	]	X
iajs-221	17	17	.	.	PUNCT
iajs-221	18	1	until	until	ADP
iajs-221	18	2	the	the	DET
iajs-221	18	3	late	late	ADJ
iajs-221	18	4	1980s	1980s	NUM
iajs-221	18	5	,	,	PUNCT
iajs-221	18	6	it	it	PRON
iajs-221	18	7	was	be	AUX
iajs-221	18	8	common	common	ADJ
iajs-221	18	9	practice	practice	NOUN
iajs-221	18	10	that	that	SCONJ
iajs-221	18	11	in	in	ADP
iajs-221	18	12	the	the	DET
iajs-221	18	13	objective	objective	ADJ
iajs-221	18	14	function	function	NOUN
iajs-221	18	15	only	only	ADV
iajs-221	18	16	one	one	NUM
iajs-221	18	17	performance	performance	NOUN
iajs-221	18	18	criterion	criterion	NOUN
iajs-221	18	19	was	be	AUX
iajs-221	18	20	taken	take	VERB
iajs-221	18	21	into	into	ADP
iajs-221	18	22	account	account	NOUN
iajs-221	18	23	.	.	PUNCT
iajs-221	19	1	in	in	ADP
iajs-221	19	2	practice	practice	NOUN
iajs-221	19	3	,	,	PUNCT
iajs-221	19	4	however	however	ADV
iajs-221	19	5	,	,	PUNCT
iajs-221	19	6	quality	quality	NOUN
iajs-221	19	7	is	be	AUX
iajs-221	19	8	a	a	DET
iajs-221	19	9	multidimensional	multidimensional	ADJ
iajs-221	19	10	notion	notion	NOUN
iajs-221	19	11	.	.	PUNCT
iajs-221	20	1	a	a	DET
iajs-221	20	2	firm	firm	NOUN
iajs-221	20	3	,	,	PUNCT
iajs-221	20	4	for	for	ADP
iajs-221	20	5	instance	instance	NOUN
iajs-221	20	6	,	,	PUNCT
iajs-221	20	7	judges	judge	VERB
iajs-221	20	8	a	a	DET
iajs-221	20	9	production	production	NOUN
iajs-221	20	10	scheme	scheme	NOUN
iajs-221	20	11	on	on	ADP
iajs-221	20	12	the	the	DET
iajs-221	20	13	basis	basis	NOUN
iajs-221	20	14	of	of	ADP
iajs-221	20	15	a	a	DET
iajs-221	20	16	number	number	NOUN
iajs-221	20	17	of	of	ADP
iajs-221	20	18	criteria	criterion	NOUN
iajs-221	20	19	,	,	PUNCT
iajs-221	20	20	for	for	ADP
iajs-221	20	21	example	example	NOUN
iajs-221	20	22	,	,	PUNCT
iajs-221	20	23	work	work	NOUN
iajs-221	20	24	in	in	ADP
iajs-221	20	25	-	-	PUNCT
iajs-221	20	26	process	process	NOUN
iajs-221	20	27	inventories	inventory	NOUN
iajs-221	20	28	and	and	CCONJ
iajs-221	20	29	observance	observance	NOUN
iajs-221	20	30	of	of	ADP
iajs-221	20	31	due	due	ADJ
iajs-221	20	32	dates	date	NOUN
iajs-221	20	33	.	.	PUNCT
iajs-221	21	1	if	if	SCONJ
iajs-221	21	2	only	only	ADV
iajs-221	21	3	one	one	NUM
iajs-221	21	4	criterion	criterion	NOUN
iajs-221	21	5	is	be	AUX
iajs-221	21	6	taken	take	VERB
iajs-221	21	7	into	into	ADP
iajs-221	21	8	account	account	NOUN
iajs-221	21	9	,	,	PUNCT
iajs-221	21	10	then	then	ADV
iajs-221	21	11	the	the	DET
iajs-221	21	12	outcome	outcome	NOUN
iajs-221	21	13	is	be	AUX
iajs-221	21	14	likely	likely	ADJ
iajs-221	21	15	to	to	PART
iajs-221	21	16	be	be	AUX
iajs-221	21	17	unbalanced	unbalanced	ADJ
iajs-221	21	18	,	,	PUNCT
iajs-221	21	19	no	no	ADV
iajs-221	21	20	matter	matter	ADV
iajs-221	21	21	what	what	DET
iajs-221	21	22	criterion	criterion	NOUN
iajs-221	21	23	is	be	AUX
iajs-221	21	24	considered	consider	VERB
iajs-221	21	25	.	.	PUNCT
iajs-221	22	1	if	if	SCONJ
iajs-221	22	2	everything	everything	PRON
iajs-221	22	3	is	be	AUX
iajs-221	22	4	set	set	VERB
iajs-221	22	5	on	on	ADP
iajs-221	22	6	keeping	keep	VERB
iajs-221	22	7	work	work	NOUN
iajs-221	22	8	-	-	PUNCT
iajs-221	22	9	in	in	ADP
iajs-221	22	10	-	-	PUNCT
iajs-221	22	11	process	process	NOUN
iajs-221	22	12	inventories	inventory	NOUN
iajs-221	22	13	low	low	ADJ
iajs-221	22	14	,	,	PUNCT
iajs-221	22	15	then	then	ADV
iajs-221	22	16	some	some	DET
iajs-221	22	17	products	product	NOUN
iajs-221	22	18	are	be	AUX
iajs-221	22	19	likely	likely	ADJ
iajs-221	22	20	to	to	PART
iajs-221	22	21	be	be	AUX
iajs-221	22	22	completed	complete	VERB
iajs-221	22	23	far	far	ADV
iajs-221	22	24	beyond	beyond	ADP
iajs-221	22	25	their	their	PRON
iajs-221	22	26	due	due	ADJ
iajs-221	22	27	dates	date	NOUN
iajs-221	22	28	,	,	PUNCT
iajs-221	22	29	whereas	whereas	SCONJ
iajs-221	22	30	,	,	PUNCT
iajs-221	22	31	if	if	SCONJ
iajs-221	22	32	the	the	DET
iajs-221	22	33	main	main	ADJ
iajs-221	22	34	goal	goal	NOUN
iajs-221	22	35	is	be	AUX
iajs-221	22	36	to	to	PART
iajs-221	22	37	keep	keep	VERB
iajs-221	22	38	the	the	DET
iajs-221	22	39	customers	customer	NOUN
iajs-221	22	40	satisfied	satisfied	ADJ
iajs-221	22	41	by	by	ADP
iajs-221	22	42	observing	observe	VERB
iajs-221	22	43	due	due	ADJ
iajs-221	22	44	dates	date	NOUN
iajs-221	22	45	,	,	PUNCT
iajs-221	22	46	then	then	ADV
iajs-221	22	47	the	the	DET
iajs-221	22	48	work	work	NOUN
iajs-221	22	49	-	-	PUNCT
iajs-221	22	50	in	in	ADP
iajs-221	22	51	-	-	PUNCT
iajs-221	22	52	process	process	NOUN
iajs-221	22	53	inventories	inventory	NOUN
iajs-221	22	54	are	be	AUX
iajs-221	22	55	likely	likely	ADJ
iajs-221	22	56	to	to	PART
iajs-221	22	57	be	be	AUX
iajs-221	22	58	large	large	ADJ
iajs-221	22	59	.	.	PUNCT
iajs-221	23	1	in	in	ADP
iajs-221	23	2	order	order	NOUN
iajs-221	23	3	to	to	PART
iajs-221	23	4	reach	reach	VERB
iajs-221	23	5	an	an	DET
iajs-221	23	6	acceptable	acceptable	ADJ
iajs-221	23	7	compromise	compromise	NOUN
iajs-221	23	8	,	,	PUNCT
iajs-221	23	9	one	one	PRON
iajs-221	23	10	has	have	VERB
iajs-221	23	11	to	to	PART
iajs-221	23	12	measure	measure	VERB
iajs-221	23	13	the	the	DET
iajs-221	23	14	quality	quality	NOUN
iajs-221	23	15	of	of	ADP
iajs-221	23	16	a	a	DET
iajs-221	23	17	solution	solution	NOUN
iajs-221	23	18	on	on	ADP
iajs-221	23	19	all	all	DET
iajs-221	23	20	important	important	ADJ
iajs-221	23	21	criteria	criterion	NOUN
iajs-221	23	22	.	.	PUNCT
iajs-221	24	1	this	this	DET
iajs-221	24	2	notice	notice	NOUN
iajs-221	24	3	has	have	AUX
iajs-221	24	4	led	lead	VERB
iajs-221	24	5	to	to	ADP
iajs-221	24	6	the	the	DET
iajs-221	24	7	development	development	NOUN
iajs-221	24	8	of	of	ADP
iajs-221	24	9	the	the	DET
iajs-221	24	10	area	area	NOUN
iajs-221	24	11	of	of	ADP
iajs-221	24	12	multicriteria	multicriteria	PROPN
iajs-221	24	13	scheduling	scheduling	NOUN
iajs-221	24	14	.	.	PUNCT
iajs-221	25	1	however	however	ADV
iajs-221	25	2	,	,	PUNCT
iajs-221	25	3	decision	decision	NOUN
iajs-221	25	4	makers	maker	NOUN
iajs-221	25	5	evaluate	evaluate	VERB
iajs-221	25	6	schedules	schedule	NOUN
iajs-221	25	7	according	accord	VERB
iajs-221	25	8	to	to	ADP
iajs-221	25	9	more	more	ADJ
iajs-221	25	10	than	than	ADP
iajs-221	25	11	one	one	NUM
iajs-221	25	12	measure	measure	NOUN
iajs-221	25	13	.	.	PUNCT
iajs-221	26	1	since	since	SCONJ
iajs-221	26	2	using	use	VERB
iajs-221	26	3	multiple	multiple	ADJ
iajs-221	26	4	criteria	criterion	NOUN
iajs-221	26	5	is	be	AUX
iajs-221	26	6	more	more	ADV
iajs-221	26	7	realistic	realistic	ADJ
iajs-221	26	8	,	,	PUNCT
iajs-221	26	9	several	several	ADJ
iajs-221	26	10	multicriteria	multicriteria	NOUN
iajs-221	26	11	scheduling	scheduling	NOUN
iajs-221	26	12	papers	paper	NOUN
iajs-221	26	13	have	have	AUX
iajs-221	26	14	appeared	appear	VERB
iajs-221	26	15	in	in	ADP
iajs-221	26	16	the	the	DET
iajs-221	26	17	scheduling	scheduling	NOUN
iajs-221	26	18	literature	literature	NOUN
iajs-221	26	19	.	.	PUNCT
iajs-221	27	1	most	most	ADJ
iajs-221	27	2	of	of	ADP
iajs-221	27	3	these	these	DET
iajs-221	27	4	papers	paper	NOUN
iajs-221	27	5	are	be	AUX
iajs-221	27	6	on	on	ADP
iajs-221	27	7	single	single	ADJ
iajs-221	27	8	machine	machine	NOUN
iajs-221	27	9	bicriteria	bicriteria	NOUN
iajs-221	27	10	scheduling	scheduling	NOUN
iajs-221	27	11	problems	problem	NOUN
iajs-221	27	12	and	and	CCONJ
iajs-221	27	13	the	the	DET
iajs-221	27	14	minimization	minimization	NOUN
iajs-221	27	15	of	of	ADP
iajs-221	27	16	couples	couple	NOUN
iajs-221	27	17	of	of	ADP
iajs-221	27	18	criteria	criterion	NOUN
iajs-221	27	19	.	.	PUNCT
iajs-221	28	1	smith	smith	PROPN
iajs-221	28	2	(	(	PUNCT
iajs-221	28	3	1956	1956	NUM
iajs-221	28	4	)	)	PUNCT
iajs-221	29	1	[	[	X
iajs-221	29	2	18	18	NUM
iajs-221	29	3	]	]	PUNCT
iajs-221	29	4	studied	study	VERB
iajs-221	29	5	a	a	DET
iajs-221	29	6	particular	particular	ADJ
iajs-221	29	7	case	case	NOUN
iajs-221	29	8	of	of	ADP
iajs-221	29	9	1/	1/	NUM
iajs-221	29	10	̅	̅	NOUN
iajs-221	29	11	/f	/f	PUNCT
iajs-221	29	12	(	(	PUNCT
iajs-221	29	13	∑ci	∑ci	X
iajs-221	29	14	,	,	PUNCT
iajs-221	29	15	tmax	tmax	NUM
iajs-221	29	16	)	)	PUNCT
iajs-221	29	17	problem	problem	NOUN
iajs-221	29	18	where	where	SCONJ
iajs-221	29	19	a	a	DET
iajs-221	29	20	condition	condition	NOUN
iajs-221	29	21	of	of	ADP
iajs-221	29	22	tmax=0	tmax=0	PROPN
iajs-221	29	23	is	be	AUX
iajs-221	29	24	imposed	impose	VERB
iajs-221	29	25	.	.	PUNCT
iajs-221	30	1	vanwassenhove	vanwassenhove	PROPN
iajs-221	30	2	&	&	CCONJ
iajs-221	30	3	gelders	gelders	PROPN
iajs-221	30	4	(	(	PUNCT
iajs-221	30	5	1980	1980	NUM
iajs-221	30	6	)	)	PUNCT
iajs-221	31	1	[	[	X
iajs-221	31	2	21	21	NUM
iajs-221	31	3	]	]	PUNCT
iajs-221	31	4	extended	extend	VERB
iajs-221	31	5	this	this	DET
iajs-221	31	6	problem	problem	NOUN
iajs-221	31	7	to	to	ADP
iajs-221	31	8	the	the	DET
iajs-221	31	9	1//f(∑ci	1//f(∑ci	NUM
iajs-221	31	10	,	,	PUNCT
iajs-221	31	11	tmax	tmax	NUM
iajs-221	31	12	)	)	PUNCT
iajs-221	31	13	with	with	ADP
iajs-221	31	14	tmax≠0	tmax≠0	PROPN
iajs-221	31	15	.	.	PUNCT
iajs-221	32	1	the	the	DET
iajs-221	32	2	set	set	NOUN
iajs-221	32	3	of	of	ADP
iajs-221	32	4	efficient	efficient	ADJ
iajs-221	32	5	points	point	NOUN
iajs-221	32	6	is	be	AUX
iajs-221	32	7	characterized	characterize	VERB
iajs-221	32	8	and	and	CCONJ
iajs-221	32	9	a	a	DET
iajs-221	32	10	pseudopolynomial	pseudopolynomial	ADJ
iajs-221	32	11	algorithm	algorithm	NOUN
iajs-221	32	12	to	to	PART
iajs-221	32	13	enumerate	enumerate	VERB
iajs-221	32	14	all	all	DET
iajs-221	32	15	these	these	DET
iajs-221	32	16	point	point	NOUN
iajs-221	32	17	is	be	AUX
iajs-221	32	18	given	give	VERB
iajs-221	32	19	.	.	PUNCT
iajs-221	33	1	nelson	nelson	PROPN
iajs-221	33	2	et	et	PROPN
iajs-221	33	3	al.(1986	al.(1986	PROPN
iajs-221	33	4	)	)	PUNCT
iajs-221	34	1	[	[	X
iajs-221	34	2	16	16	NUM
iajs-221	34	3	]	]	PUNCT
iajs-221	34	4	developed	develop	VERB
iajs-221	34	5	a	a	DET
iajs-221	34	6	bab	bab	PROPN
iajs-221	34	7	algorithm	algorithm	NOUN
iajs-221	34	8	to	to	PART
iajs-221	34	9	solve	solve	VERB
iajs-221	34	10	the	the	DET
iajs-221	34	11	problem	problem	NOUN
iajs-221	34	12	for	for	ADP
iajs-221	34	13	mean	mean	ADJ
iajs-221	34	14	flow	flow	NOUN
iajs-221	34	15	time	time	NOUN
iajs-221	34	16	(	(	PUNCT
iajs-221	34	17	∑ci	∑ci	NOUN
iajs-221	34	18	)	)	PUNCT
iajs-221	34	19	,	,	PUNCT
iajs-221	34	20	number	number	NOUN
iajs-221	34	21	of	of	ADP
iajs-221	34	22	tardy	tardy	ADJ
iajs-221	34	23	jobs	job	NOUN
iajs-221	34	24	(	(	PUNCT
iajs-221	34	25	∑ui	∑ui	ADJ
iajs-221	34	26	)	)	PUNCT
iajs-221	34	27	and	and	CCONJ
iajs-221	34	28	maximum	maximum	ADJ
iajs-221	34	29	tardiness	tardiness	NOUN
iajs-221	34	30	(	(	PUNCT
iajs-221	34	31	tmax	tmax	ADV
iajs-221	34	32	)	)	PUNCT
iajs-221	34	33	simultaneously	simultaneously	ADV
iajs-221	34	34	.	.	PUNCT
iajs-221	35	1	hoogveen	hoogveen	PROPN
iajs-221	35	2	and	and	CCONJ
iajs-221	35	3	van	van	PROPN
iajs-221	35	4	de	de	PROPN
iajs-221	35	5	velde	velde	PROPN
iajs-221	35	6	(	(	PUNCT
iajs-221	35	7	1995	1995	NUM
iajs-221	35	8	)	)	PUNCT
iajs-221	36	1	[	[	X
iajs-221	36	2	9	9	NUM
iajs-221	36	3	]	]	PUNCT
iajs-221	36	4	showed	show	VERB
iajs-221	36	5	that	that	SCONJ
iajs-221	36	6	exactly	exactly	ADV
iajs-221	36	7	the	the	DET
iajs-221	36	8	same	same	ADJ
iajs-221	36	9	approach	approach	NOUN
iajs-221	36	10	can	can	AUX
iajs-221	36	11	be	be	AUX
iajs-221	36	12	used	use	VERB
iajs-221	36	13	to	to	PART
iajs-221	36	14	solve	solve	VERB
iajs-221	36	15	the	the	DET
iajs-221	36	16	1//f(∑ci	1//f(∑ci	NUM
iajs-221	36	17	,	,	PUNCT
iajs-221	36	18	fmax)problem	fmax)problem	NOUN
iajs-221	36	19	.	.	PROPN
iajs-221	36	20	esswein	esswein	PROPN
iajs-221	36	21	and	and	CCONJ
iajs-221	36	22	t’kindt	t’kindt	NOUN
iajs-221	36	23	(	(	PUNCT
iajs-221	36	24	2002	2002	NUM
iajs-221	36	25	)	)	PUNCT
iajs-221	37	1	[	[	X
iajs-221	37	2	8	8	NUM
iajs-221	37	3	]	]	PUNCT
iajs-221	37	4	proposed	propose	VERB
iajs-221	37	5	a	a	DET
iajs-221	37	6	branch	branch	NOUN
iajs-221	37	7	and	and	CCONJ
iajs-221	37	8	bound	bind	VERB
iajs-221	37	9	algorithm	algorithm	NOUN
iajs-221	37	10	which	which	PRON
iajs-221	37	11	efficiently	efficiently	ADV
iajs-221	37	12	enumerates	enumerate	VERB
iajs-221	37	13	the	the	DET
iajs-221	37	14	set	set	NOUN
iajs-221	37	15	of	of	ADP
iajs-221	37	16	non	non	ADJ
iajs-221	37	17	-	-	ADJ
iajs-221	37	18	dominated	dominate	VERB
iajs-221	37	19	solutions	solution	NOUN
iajs-221	37	20	for	for	ADP
iajs-221	37	21	the	the	DET
iajs-221	37	22	1//f(∑wici	1//f(∑wici	NUM
iajs-221	37	23	,	,	PUNCT
iajs-221	37	24	fmax	fmax	ADJ
iajs-221	37	25	)	)	PUNCT
iajs-221	37	26	problem	problem	NOUN
iajs-221	37	27	.	.	PUNCT
iajs-221	38	1	tadie	tadie	PROPN
iajs-221	38	2	et	et	PROPN
iajs-221	38	3	al	al	PROPN
iajs-221	38	4	.	.	PROPN
iajs-221	39	1	(	(	PUNCT
iajs-221	39	2	2002	2002	NUM
iajs-221	39	3	)	)	PUNCT
iajs-221	40	1	[	[	X
iajs-221	40	2	20	20	NUM
iajs-221	40	3	]	]	PUNCT
iajs-221	40	4	proposed	propose	VERB
iajs-221	40	5	a	a	DET
iajs-221	40	6	procedure	procedure	NOUN
iajs-221	40	7	that	that	PRON
iajs-221	40	8	takes	take	VERB
iajs-221	40	9	advantage	advantage	NOUN
iajs-221	40	10	of	of	ADP
iajs-221	40	11	an	an	DET
iajs-221	40	12	algorithm	algorithm	NOUN
iajs-221	40	13	for	for	ADP
iajs-221	40	14	finding	find	VERB
iajs-221	40	15	the	the	DET
iajs-221	40	16	paretooptima	paretooptima	NOUN
iajs-221	40	17	set	set	VERB
iajs-221	40	18	by	by	ADP
iajs-221	40	19	applying	apply	VERB
iajs-221	40	20	specially	specially	ADV
iajs-221	40	21	developed	develop	VERB
iajs-221	40	22	constraints	constraint	NOUN
iajs-221	40	23	to	to	ADP
iajs-221	40	24	a	a	DET
iajs-221	40	25	branch	branch	NOUN
iajs-221	40	26	and	and	CCONJ
iajs-221	40	27	bound	bind	VERB
iajs-221	40	28	algorithm	algorithm	NOUN
iajs-221	40	29	for	for	ADP
iajs-221	40	30	the	the	DET
iajs-221	40	31	1//f(∑ti	1//f(∑ti	NUM
iajs-221	40	32	,	,	PUNCT
iajs-221	40	33	tmax	tmax	NUM
iajs-221	40	34	)	)	PUNCT
iajs-221	40	35	problem	problem	NOUN
iajs-221	40	36	.	.	PUNCT
iajs-221	41	1	to	to	PART
iajs-221	41	2	find	find	VERB
iajs-221	41	3	the	the	DET
iajs-221	41	4	set	set	NOUN
iajs-221	41	5	of	of	ADP
iajs-221	41	6	efficient	efficient	ADJ
iajs-221	41	7	point	point	NOUN
iajs-221	41	8	for	for	ADP
iajs-221	41	9	1//f(∑ci	1//f(∑ci	NUM
iajs-221	41	10	,	,	PUNCT
iajs-221	41	11	emax	emax	NOUN
iajs-221	41	12	)	)	PUNCT
iajs-221	41	13	problem	problem	NOUN
iajs-221	41	14	,	,	PUNCT
iajs-221	41	15	kurz	kurz	NOUN
iajs-221	41	16	and	and	CCONJ
iajs-221	41	17	canterbury	canterbury	PROPN
iajs-221	41	18	(	(	PUNCT
iajs-221	41	19	2005	2005	NUM
iajs-221	41	20	)	)	PUNCT
iajs-221	42	1	[	[	X
iajs-221	42	2	11	11	NUM
iajs-221	42	3	]	]	PUNCT
iajs-221	42	4	used	use	VERB
iajs-221	42	5	genetic	genetic	ADJ
iajs-221	42	6	algorithm	algorithm	NOUN
iajs-221	42	7	and	and	CCONJ
iajs-221	42	8	al	al	PROPN
iajs-221	42	9	-	-	PUNCT
iajs-221	42	10	assaf	assaf	PROPN
iajs-221	42	11	(	(	PUNCT
iajs-221	42	12	2007	2007	NUM
iajs-221	42	13	)	)	PUNCT
iajs-221	43	1	[	[	X
iajs-221	43	2	5	5	NUM
iajs-221	43	3	]	]	PUNCT
iajs-221	43	4	proposed	propose	VERB
iajs-221	43	5	a	a	DET
iajs-221	43	6	polynomial	polynomial	ADJ
iajs-221	43	7	algorithm	algorithm	NOUN
iajs-221	43	8	within	within	ADP
iajs-221	43	9	special	special	ADJ
iajs-221	43	10	range	range	NOUN
iajs-221	43	11	.	.	PUNCT
iajs-221	44	1	recently	recently	ADV
iajs-221	44	2	,	,	PUNCT
iajs-221	44	3	oyetunji	oyetunji	NOUN
iajs-221	44	4	and	and	CCONJ
iajs-221	44	5	oluleye	oluleye	NOUN
iajs-221	44	6	(	(	PUNCT
iajs-221	44	7	2008	2008	NUM
iajs-221	44	8	)	)	PUNCT
iajs-221	45	1	[	[	X
iajs-221	45	2	17	17	NUM
iajs-221	45	3	]	]	PUNCT
iajs-221	45	4	have	have	AUX
iajs-221	45	5	used	use	VERB
iajs-221	45	6	a	a	DET
iajs-221	45	7	heuristic	heuristic	ADJ
iajs-221	45	8	approach	approach	NOUN
iajs-221	45	9	for	for	ADP
iajs-221	45	10	minimizing	minimize	VERB
iajs-221	45	11	total	total	ADJ
iajs-221	45	12	completion	completion	NOUN
iajs-221	45	13	time	time	NOUN
iajs-221	45	14	and	and	CCONJ
iajs-221	45	15	number	number	NOUN
iajs-221	45	16	of	of	ADP
iajs-221	45	17	tardy	tardy	ADJ
iajs-221	45	18	jobs	job	NOUN
iajs-221	45	19	simultaneously	simultaneously	ADV
iajs-221	45	20	on	on	ADP
iajs-221	45	21	single	single	ADJ
iajs-221	45	22	machine	machine	NOUN
iajs-221	45	23	with	with	ADP
iajs-221	45	24	release	release	NOUN
iajs-221	45	25	date	date	NOUN
iajs-221	45	26	(	(	PUNCT
iajs-221	45	27	i.e.	i.e.	X
iajs-221	45	28	,	,	PUNCT
iajs-221	45	29	for	for	ADP
iajs-221	45	30	the	the	DET
iajs-221	45	31	1	1	NUM
iajs-221	45	32	/	/	SYM
iajs-221	45	33	ri	ri	NOUN
iajs-221	45	34	/	/	SYM
iajs-221	45	35	f(∑ci	f(∑ci	PROPN
iajs-221	45	36	,	,	PUNCT
iajs-221	45	37	ui	ui	NOUN
iajs-221	45	38	)	)	PUNCT
iajs-221	45	39	problem	problem	NOUN
iajs-221	45	40	.	.	PUNCT
iajs-221	46	1	abbas	abbas	PROPN
iajs-221	46	2	(	(	PUNCT
iajs-221	46	3	2009	2009	NUM
iajs-221	46	4	)	)	PUNCT
iajs-221	47	1	[	[	X
iajs-221	47	2	1	1	X
iajs-221	47	3	]	]	PUNCT
iajs-221	47	4	presented	present	VERB
iajs-221	47	5	algorithms	algorithm	NOUN
iajs-221	47	6	for	for	ADP
iajs-221	47	7	many	many	ADJ
iajs-221	47	8	bicriteria	bicriteria	NOUN
iajs-221	47	9	scheduling	scheduling	NOUN
iajs-221	47	10	problems	problem	NOUN
iajs-221	47	11	on	on	ADP
iajs-221	47	12	a	a	DET
iajs-221	47	13	single	single	ADJ
iajs-221	47	14	machine	machine	NOUN
iajs-221	47	15	with	with	ADP
iajs-221	47	16	release	release	NOUN
iajs-221	47	17	dates	date	NOUN
iajs-221	47	18	.	.	PUNCT
iajs-221	48	1	the	the	DET
iajs-221	48	2	two	two	NUM
iajs-221	48	3	criteria	criterion	NOUN
iajs-221	48	4	to	to	PART
iajs-221	48	5	be	be	AUX
iajs-221	48	6	minimized	minimize	VERB
iajs-221	48	7	are	be	AUX
iajs-221	48	8	cmax	cmax	NOUN
iajs-221	48	9	and	and	CCONJ
iajs-221	48	10	∑ci	∑ci	PROPN
iajs-221	48	11	.	.	PUNCT
iajs-221	49	1	he	he	PRON
iajs-221	49	2	presented	present	VERB
iajs-221	49	3	optimal	optimal	ADJ
iajs-221	49	4	solution	solution	NOUN
iajs-221	49	5	for	for	ADP
iajs-221	49	6	the	the	DET
iajs-221	49	7	two	two	NUM
iajs-221	49	8	hierarchical	hierarchical	ADJ
iajs-221	49	9	problems	problem	NOUN
iajs-221	49	10	of	of	ADP
iajs-221	49	11	the	the	DET
iajs-221	49	12	1	1	NUM
iajs-221	49	13	/	/	SYM
iajs-221	49	14	ri	ri	NOUN
iajs-221	49	15	/	/	SYM
iajs-221	49	16	f(∑ci	f(∑ci	NOUN
iajs-221	49	17	,	,	PUNCT
iajs-221	49	18	cmax	cmax	NOUN
iajs-221	49	19	)	)	PUNCT
iajs-221	49	20	problem	problem	NOUN
iajs-221	49	21	.	.	PUNCT
iajs-221	50	1	recently	recently	ADV
iajs-221	50	2	multicriteria	multicriteria	PROPN
iajs-221	50	3	scheduling	scheduling	NOUN
iajs-221	50	4	problems	problem	NOUN
iajs-221	50	5	has	have	AUX
iajs-221	50	6	been	be	AUX
iajs-221	50	7	studied	study	VERB
iajs-221	50	8	by	by	ADP
iajs-221	50	9	several	several	ADJ
iajs-221	50	10	researchers	researcher	NOUN
iajs-221	50	11	in	in	ADP
iajs-221	50	12	different	different	ADJ
iajs-221	50	13	directions	direction	NOUN
iajs-221	50	14	(	(	PUNCT
iajs-221	50	15	[	[	X
iajs-221	50	16	14],[13],[3],[4	14],[13],[3],[4	X
iajs-221	50	17	]	]	X
iajs-221	50	18	)	)	PUNCT
iajs-221	50	19	in	in	ADP
iajs-221	50	20	this	this	DET
iajs-221	50	21	paper	paper	NOUN
iajs-221	50	22	,	,	PUNCT
iajs-221	50	23	we	we	PRON
iajs-221	50	24	consider	consider	VERB
iajs-221	50	25	the	the	DET
iajs-221	50	26	problem	problem	NOUN
iajs-221	50	27	of	of	ADP
iajs-221	50	28	scheduling	schedule	VERB
iajs-221	50	29	a	a	DET
iajs-221	50	30	set	set	NOUN
iajs-221	50	31	n={1,2,	n={1,2,	NOUN
iajs-221	50	32	…	…	SYM
iajs-221	50	33	,n	,n	NOUN
iajs-221	50	34	}	}	PUNCT
iajs-221	50	35	of	of	ADP
iajs-221	50	36	n	n	DET
iajs-221	50	37	jobs	job	NOUN
iajs-221	50	38	on	on	ADP
iajs-221	50	39	a	a	DET
iajs-221	50	40	single	single	ADJ
iajs-221	50	41	machine	machine	NOUN
iajs-221	50	42	to	to	PART
iajs-221	50	43	minimize	minimize	VERB
iajs-221	50	44	a	a	DET
iajs-221	50	45	variety	variety	NOUN
iajs-221	50	46	of	of	ADP
iajs-221	50	47	multicriteria	multicriteria	NOUN
iajs-221	50	48	may	may	AUX
iajs-221	50	49	be	be	AUX
iajs-221	50	50	stated	state	VERB
iajs-221	50	51	as	as	SCONJ
iajs-221	50	52	follows	follow	VERB
iajs-221	50	53	.	.	PUNCT
iajs-221	51	1	each	each	PRON
iajs-221	51	2	of	of	ADP
iajs-221	51	3	n	n	PRON
iajs-221	51	4	jobs	job	NOUN
iajs-221	51	5	(	(	PUNCT
iajs-221	51	6	numbered	number	VERB
iajs-221	51	7	1	1	NUM
iajs-221	51	8	,	,	PUNCT
iajs-221	51	9	.	.	PUNCT
iajs-221	52	1	..	..	PUNCT
iajs-221	52	2	,	,	PUNCT
iajs-221	52	3	n	n	CCONJ
iajs-221	52	4	)	)	PUNCT
iajs-221	52	5	is	be	AUX
iajs-221	52	6	to	to	PART
iajs-221	52	7	be	be	AUX
iajs-221	52	8	processed	process	VERB
iajs-221	52	9	on	on	ADP
iajs-221	52	10	a	a	DET
iajs-221	52	11	single	single	ADJ
iajs-221	52	12	machine	machine	NOUN
iajs-221	52	13	which	which	PRON
iajs-221	52	14	can	can	AUX
iajs-221	52	15	handle	handle	VERB
iajs-221	52	16	only	only	ADV
iajs-221	52	17	one	one	NUM
iajs-221	52	18	job	job	NOUN
iajs-221	52	19	at	at	ADP
iajs-221	52	20	a	a	DET
iajs-221	52	21	time	time	NOUN
iajs-221	52	22	.	.	PUNCT
iajs-221	53	1	associated	associate	VERB
iajs-221	53	2	with	with	ADP
iajs-221	53	3	job	job	NOUN
iajs-221	53	4	i	i	PRON
iajs-221	53	5	its	its	PRON
iajs-221	53	6	processing	processing	NOUN
iajs-221	53	7	time	time	NOUN
iajs-221	53	8	pi	pi	NOUN
iajs-221	53	9	and	and	CCONJ
iajs-221	53	10	its	its	PRON
iajs-221	53	11	due	due	ADJ
iajs-221	53	12	date	date	NOUN
iajs-221	53	13	di	di	X
iajs-221	53	14	.	.	PUNCT
iajs-221	54	1	all	all	DET
iajs-221	54	2	jobs	job	NOUN
iajs-221	54	3	are	be	AUX
iajs-221	54	4	available	available	ADJ
iajs-221	54	5	for	for	ADP
iajs-221	54	6	processing	processing	NOUN
iajs-221	54	7	at	at	ADP
iajs-221	54	8	time	time	NOUN
iajs-221	54	9	zero	zero	NUM
iajs-221	54	10	.	.	PUNCT
iajs-221	55	1	the	the	DET
iajs-221	55	2	main	main	ADJ
iajs-221	55	3	object	object	NOUN
iajs-221	55	4	is	be	AUX
iajs-221	55	5	to	to	PART
iajs-221	55	6	find	find	VERB
iajs-221	55	7	a	a	DET
iajs-221	55	8	set	set	NOUN
iajs-221	55	9	of	of	ADP
iajs-221	55	10	pareto	pareto	ADJ
iajs-221	55	11	optimal	optimal	ADJ
iajs-221	55	12	solutions	solution	NOUN
iajs-221	55	13	for	for	ADP
iajs-221	55	14	the	the	DET
iajs-221	55	15	1//f(∑ci	1//f(∑ci	NUM
iajs-221	55	16	,	,	PUNCT
iajs-221	55	17	∑ti	∑ti	NUM
iajs-221	55	18	,	,	PUNCT
iajs-221	55	19	tmax	tmax	NUM
iajs-221	55	20	)	)	PUNCT
iajs-221	55	21	problem	problem	NOUN
iajs-221	55	22	.	.	PUNCT
iajs-221	56	1	this	this	DET
iajs-221	56	2	paper	paper	NOUN
iajs-221	56	3	begins	begin	VERB
iajs-221	56	4	with	with	ADP
iajs-221	56	5	some	some	DET
iajs-221	56	6	notation	notation	NOUN
iajs-221	56	7	and	and	CCONJ
iajs-221	56	8	basic	basic	ADJ
iajs-221	56	9	concepts	concept	NOUN
iajs-221	56	10	of	of	ADP
iajs-221	56	11	multicriteria	multicriteria	NOUN
iajs-221	56	12	scheduling	scheduling	NOUN
iajs-221	56	13	problems	problem	NOUN
iajs-221	56	14	are	be	AUX
iajs-221	56	15	given	give	VERB
iajs-221	56	16	in	in	ADP
iajs-221	56	17	section	section	NOUN
iajs-221	56	18	2	2	NUM
iajs-221	56	19	.	.	PUNCT
iajs-221	56	20	formulations	formulation	NOUN
iajs-221	56	21	and	and	CCONJ
iajs-221	56	22	some	some	DET
iajs-221	56	23	algorithms	algorithm	NOUN
iajs-221	56	24	are	be	AUX
iajs-221	56	25	given	give	VERB
iajs-221	56	26	in	in	ADP
iajs-221	56	27	section	section	NOUN
iajs-221	56	28	3	3	NUM
iajs-221	56	29	.	.	PUNCT
iajs-221	57	1	a	a	DET
iajs-221	57	2	branch	branch	NOUN
iajs-221	57	3	and	and	CCONJ
iajs-221	57	4	bound	bind	VERB
iajs-221	57	5	algorithm	algorithm	NOUN
iajs-221	57	6	for	for	ADP
iajs-221	57	7	the	the	DET
iajs-221	57	8	1//∑ci+∑ti+tmax	1//∑ci+∑ti+tmax	NUM
iajs-221	57	9	is	be	AUX
iajs-221	57	10	given	give	VERB
iajs-221	57	11	in	in	ADP
iajs-221	57	12	section	section	NOUN
iajs-221	57	13	4	4	NUM
iajs-221	57	14	.	.	PUNCT
iajs-221	57	15	characterizing	characterize	VERB
iajs-221	57	16	157	157	NUM
iajs-221	57	17	|	|	CCONJ
iajs-221	57	18	mathematics	mathematic	NOUN
iajs-221	57	19	٢٠١٥	٢٠١٥	NUM
iajs-221	57	20	)	)	PUNCT
iajs-221	57	21	عام	عام	ADP
iajs-221	57	22	٢العدد	٢العدد	PROPN
iajs-221	57	23	(	(	PUNCT
iajs-221	57	24	٢٨مجلة	٢٨مجلة	X
iajs-221	57	25	ابن	ابن	PROPN
iajs-221	57	26	الھيثم	الھيثم	PROPN
iajs-221	57	27	للعلوم	للعلوم	PROPN
iajs-221	57	28	الصرفة	الصرفة	PROPN
iajs-221	57	29	والتطبيقية	والتطبيقية	PRON
iajs-221	57	30	المجلد	المجلد	VERB
iajs-221	57	31	ibn	ibn	PROPN
iajs-221	57	32	al	al	PROPN
iajs-221	57	33	-	-	PUNCT
iajs-221	57	34	haitham	haitham	PROPN
iajs-221	57	35	.	.	PUNCT
iajs-221	58	1	j.	j.	PROPN
iajs-221	58	2	for	for	ADP
iajs-221	58	3	pure	pure	PROPN
iajs-221	58	4	&	&	CCONJ
iajs-221	58	5	appl	appl	PROPN
iajs-221	58	6	.	.	PUNCT
iajs-221	59	1	sci	sci	PROPN
iajs-221	59	2	.	.	PUNCT
iajs-221	59	3	vol	vol	NOUN
iajs-221	59	4	.	.	PROPN
iajs-221	60	1	28	28	NUM
iajs-221	60	2	(	(	PUNCT
iajs-221	60	3	2	2	NUM
iajs-221	60	4	)	)	PUNCT
iajs-221	60	5	2015	2015	NUM
iajs-221	60	6	efficient	efficient	ADJ
iajs-221	60	7	solutions	solution	NOUN
iajs-221	60	8	for	for	ADP
iajs-221	60	9	the	the	DET
iajs-221	60	10	1//f(∑ci	1//f(∑ci	NUM
iajs-221	60	11	,	,	PUNCT
iajs-221	60	12	∑ti	∑ti	NUM
iajs-221	60	13	,	,	PUNCT
iajs-221	60	14	tmax	tmax	PRON
iajs-221	60	15	)	)	PUNCT
iajs-221	60	16	and	and	CCONJ
iajs-221	60	17	algorithms	algorithm	NOUN
iajs-221	60	18	are	be	AUX
iajs-221	60	19	given	give	VERB
iajs-221	60	20	in	in	ADP
iajs-221	60	21	sections	section	NOUN
iajs-221	60	22	5	5	NUM
iajs-221	60	23	.	.	PUNCT
iajs-221	61	1	in	in	ADP
iajs-221	61	2	section	section	NOUN
iajs-221	61	3	6	6	NUM
iajs-221	61	4	computational	computational	ADJ
iajs-221	61	5	experiments	experiment	NOUN
iajs-221	61	6	is	be	AUX
iajs-221	61	7	given	give	VERB
iajs-221	61	8	.	.	PUNCT
iajs-221	62	1	2	2	X
iajs-221	62	2	.	.	X
iajs-221	62	3	notation	notation	NOUN
iajs-221	62	4	,	,	PUNCT
iajs-221	62	5	basic	basic	ADJ
iajs-221	62	6	concepts	concept	NOUN
iajs-221	62	7	and	and	CCONJ
iajs-221	62	8	analysis	analysis	NOUN
iajs-221	62	9	the	the	DET
iajs-221	62	10	following	follow	VERB
iajs-221	62	11	notation	notation	NOUN
iajs-221	62	12	will	will	AUX
iajs-221	62	13	be	be	AUX
iajs-221	62	14	used	use	VERB
iajs-221	62	15	in	in	ADP
iajs-221	62	16	this	this	DET
iajs-221	62	17	paper	paper	NOUN
iajs-221	62	18	n	n	CCONJ
iajs-221	62	19	:	:	PUNCT
iajs-221	62	20	number	number	NOUN
iajs-221	62	21	of	of	ADP
iajs-221	62	22	jobs	job	NOUN
iajs-221	62	23	pi	pi	NOUN
iajs-221	62	24	:	:	PUNCT
iajs-221	62	25	processing	processing	NOUN
iajs-221	62	26	time	time	NOUN
iajs-221	62	27	of	of	ADP
iajs-221	62	28	job	job	NOUN
iajs-221	62	29	i.	i.	NOUN
iajs-221	62	30	di	di	PROPN
iajs-221	62	31	:	:	PUNCT
iajs-221	62	32	due	due	ADJ
iajs-221	62	33	date	date	NOUN
iajs-221	62	34	of	of	ADP
iajs-221	62	35	job	job	NOUN
iajs-221	62	36	i.	i.	PROPN
iajs-221	62	37	ci	ci	PROPN
iajs-221	62	38	:	:	PUNCT
iajs-221	62	39	completion	completion	NOUN
iajs-221	62	40	time	time	NOUN
iajs-221	62	41	of	of	ADP
iajs-221	62	42	job	job	NOUN
iajs-221	62	43	i.	i.	NOUN
iajs-221	62	44	ti	ti	PROPN
iajs-221	62	45	:	:	PUNCT
iajs-221	62	46	the	the	DET
iajs-221	62	47	tardiness	tardiness	NOUN
iajs-221	62	48	of	of	ADP
iajs-221	62	49	job	job	NOUN
iajs-221	62	50	i.	i.	NOUN
iajs-221	62	51	tmax	tmax	PROPN
iajs-221	62	52	:	:	PUNCT
iajs-221	62	53	max{ti	max{ti	NOUN
iajs-221	62	54	}	}	PUNCT
iajs-221	62	55	,	,	PUNCT
iajs-221	62	56	the	the	DET
iajs-221	62	57	maximum	maximum	ADJ
iajs-221	62	58	tardiness	tardiness	NOUN
iajs-221	62	59	.	.	PUNCT
iajs-221	63	1	lb	lb	X
iajs-221	63	2	:	:	PUNCT
iajs-221	63	3	lower	low	ADJ
iajs-221	63	4	bound	bind	VERB
iajs-221	63	5	.	.	PUNCT
iajs-221	64	1	ub	ub	ADJ
iajs-221	64	2	:	:	PUNCT
iajs-221	64	3	upper	upper	ADJ
iajs-221	64	4	bound	bind	VERB
iajs-221	64	5	.	.	PUNCT
iajs-221	65	1	bab	bab	PROPN
iajs-221	65	2	:	:	PUNCT
iajs-221	65	3	branch	branch	NOUN
iajs-221	65	4	and	and	CCONJ
iajs-221	65	5	bound	bind	VERB
iajs-221	65	6	.	.	PUNCT
iajs-221	66	1	ce	ce	PROPN
iajs-221	66	2	:	:	PUNCT
iajs-221	67	1	complete	complete	VERB
iajs-221	67	2	enumeration	enumeration	NOUN
iajs-221	67	3	method	method	NOUN
iajs-221	67	4	.	.	PUNCT
iajs-221	68	1	usually	usually	ADV
iajs-221	68	2	in	in	ADP
iajs-221	68	3	multicriteria	multicriteria	PROPN
iajs-221	68	4	decision	decision	NOUN
iajs-221	68	5	making	make	VERB
iajs-221	68	6	each	each	DET
iajs-221	68	7	solution	solution	NOUN
iajs-221	68	8	is	be	AUX
iajs-221	68	9	represented	represent	VERB
iajs-221	68	10	as	as	ADP
iajs-221	68	11	a	a	DET
iajs-221	68	12	point	point	NOUN
iajs-221	68	13	in	in	ADP
iajs-221	68	14	the	the	DET
iajs-221	68	15	criteria	criterion	NOUN
iajs-221	68	16	space	space	NOUN
iajs-221	68	17	.	.	PUNCT
iajs-221	69	1	the	the	DET
iajs-221	69	2	dimensionality	dimensionality	NOUN
iajs-221	69	3	of	of	ADP
iajs-221	69	4	this	this	DET
iajs-221	69	5	space	space	NOUN
iajs-221	69	6	is	be	AUX
iajs-221	69	7	equal	equal	ADJ
iajs-221	69	8	to	to	ADP
iajs-221	69	9	the	the	DET
iajs-221	69	10	number	number	NOUN
iajs-221	69	11	of	of	ADP
iajs-221	69	12	criteria	criterion	NOUN
iajs-221	69	13	.	.	PUNCT
iajs-221	70	1	different	different	ADJ
iajs-221	70	2	states	state	NOUN
iajs-221	70	3	of	of	ADP
iajs-221	70	4	the	the	DET
iajs-221	70	5	art	art	NOUN
iajs-221	70	6	of	of	ADP
iajs-221	70	7	multicriteria	multicriteria	NOUN
iajs-221	70	8	scheduling	scheduling	NOUN
iajs-221	70	9	can	can	AUX
iajs-221	70	10	be	be	AUX
iajs-221	70	11	found	find	VERB
iajs-221	70	12	in	in	ADP
iajs-221	70	13	the	the	DET
iajs-221	70	14	literature	literature	NOUN
iajs-221	70	15	nagar	nagar	NOUN
iajs-221	70	16	et	et	PROPN
iajs-221	70	17	al	al	PROPN
iajs-221	70	18	.	.	PROPN
iajs-221	71	1	1995[15	1995[15	NUM
iajs-221	71	2	]	]	PUNCT
iajs-221	71	3	,	,	PUNCT
iajs-221	71	4	hoogeveen	hoogeveen	PROPN
iajs-221	71	5	2005[10	2005[10	NUM
iajs-221	71	6	]	]	PUNCT
iajs-221	71	7	.	.	PUNCT
iajs-221	72	1	analysis	analysis	NOUN
iajs-221	72	2	of	of	ADP
iajs-221	72	3	these	these	DET
iajs-221	72	4	works	work	NOUN
iajs-221	72	5	is	be	AUX
iajs-221	72	6	under	under	ADP
iajs-221	72	7	-	-	PUNCT
iajs-221	72	8	lines	line	NOUN
iajs-221	72	9	[	[	X
iajs-221	72	10	19	19	NUM
iajs-221	72	11	]	]	PUNCT
iajs-221	72	12	.	.	PUNCT
iajs-221	73	1			X
iajs-221	74	1	the	the	DET
iajs-221	74	2	necessity	necessity	NOUN
iajs-221	74	3	of	of	ADP
iajs-221	74	4	knowing	know	VERB
iajs-221	74	5	the	the	DET
iajs-221	74	6	results	result	NOUN
iajs-221	74	7	of	of	ADP
iajs-221	74	8	the	the	DET
iajs-221	74	9	domain	domain	NOUN
iajs-221	74	10	of	of	ADP
iajs-221	74	11	multicriteria	multicriteria	PROPN
iajs-221	74	12	optimization	optimization	NOUN
iajs-221	74	13	to	to	PART
iajs-221	74	14	understand	understand	VERB
iajs-221	74	15	well	well	INTJ
iajs-221	74	16	the	the	DET
iajs-221	74	17	difficulties	difficulty	NOUN
iajs-221	74	18	related	relate	VERB
iajs-221	74	19	to	to	ADP
iajs-221	74	20	taking	take	VERB
iajs-221	74	21	into	into	ADP
iajs-221	74	22	account	account	NOUN
iajs-221	74	23	conflicting	conflicting	ADJ
iajs-221	74	24	criteria	criterion	NOUN
iajs-221	74	25	.	.	PUNCT
iajs-221	75	1			X
iajs-221	75	2	the	the	DET
iajs-221	75	3	need	need	NOUN
iajs-221	75	4	for	for	ADP
iajs-221	75	5	a	a	DET
iajs-221	75	6	typology	typology	NOUN
iajs-221	75	7	enables	enable	VERB
iajs-221	75	8	us	we	PRON
iajs-221	75	9	to	to	PART
iajs-221	75	10	formalize	formalize	VERB
iajs-221	75	11	the	the	DET
iajs-221	75	12	different	different	ADJ
iajs-221	75	13	types	type	NOUN
iajs-221	75	14	of	of	ADP
iajs-221	75	15	problems	problem	NOUN
iajs-221	75	16	and	and	CCONJ
iajs-221	75	17	to	to	PART
iajs-221	75	18	unify	unify	VERB
iajs-221	75	19	the	the	DET
iajs-221	75	20	notations	notation	NOUN
iajs-221	75	21	of	of	ADP
iajs-221	75	22	these	these	DET
iajs-221	75	23	problems	problem	NOUN
iajs-221	75	24	.	.	PUNCT
iajs-221	76	1			X
iajs-221	76	2	the	the	DET
iajs-221	76	3	need	need	NOUN
iajs-221	76	4	for	for	ADP
iajs-221	76	5	a	a	DET
iajs-221	76	6	knowledge	knowledge	NOUN
iajs-221	76	7	of	of	ADP
iajs-221	76	8	the	the	DET
iajs-221	76	9	results	result	NOUN
iajs-221	76	10	on	on	ADP
iajs-221	76	11	single	single	ADJ
iajs-221	76	12	criteria	criterion	NOUN
iajs-221	76	13	scheduling	scheduling	NOUN
iajs-221	76	14	problems	problem	NOUN
iajs-221	76	15	.	.	PUNCT
iajs-221	77	1	an	an	DET
iajs-221	77	2	example	example	NOUN
iajs-221	77	3	,	,	PUNCT
iajs-221	77	4	many	many	ADJ
iajs-221	77	5	scheduling	scheduling	NOUN
iajs-221	77	6	problems	problem	NOUN
iajs-221	77	7	in	in	ADP
iajs-221	77	8	the	the	DET
iajs-221	77	9	production	production	NOUN
iajs-221	77	10	domain	domain	NOUN
iajs-221	77	11	involve	involve	VERB
iajs-221	77	12	several	several	ADJ
iajs-221	77	13	criteria	criterion	NOUN
iajs-221	77	14	.	.	PUNCT
iajs-221	78	1	it	it	PRON
iajs-221	78	2	is	be	AUX
iajs-221	78	3	clear	clear	ADJ
iajs-221	78	4	the	the	DET
iajs-221	78	5	need	need	NOUN
iajs-221	78	6	to	to	PART
iajs-221	78	7	produce	produce	VERB
iajs-221	78	8	“	"	PUNCT
iajs-221	78	9	just	just	ADV
iajs-221	78	10	-	-	PUNCT
iajs-221	78	11	in	in	ADP
iajs-221	78	12	-	-	PUNCT
iajs-221	78	13	time	time	NOUN
iajs-221	78	14	”	"	PUNCT
iajs-221	78	15	.	.	PUNCT
iajs-221	79	1	this	this	DET
iajs-221	79	2	need	need	NOUN
iajs-221	79	3	translates	translate	VERB
iajs-221	79	4	into	into	ADP
iajs-221	79	5	two	two	NUM
iajs-221	79	6	wishes	wish	NOUN
iajs-221	79	7	,	,	PUNCT
iajs-221	79	8	one	one	NUM
iajs-221	79	9	is	be	AUX
iajs-221	79	10	not	not	PART
iajs-221	79	11	to	to	PART
iajs-221	79	12	deliver	deliver	VERB
iajs-221	79	13	to	to	ADP
iajs-221	79	14	the	the	DET
iajs-221	79	15	client	client	NOUN
iajs-221	79	16	late	late	ADV
iajs-221	79	17	,	,	PUNCT
iajs-221	79	18	the	the	DET
iajs-221	79	19	other	other	ADJ
iajs-221	79	20	is	be	AUX
iajs-221	79	21	not	not	PART
iajs-221	79	22	to	to	PART
iajs-221	79	23	store	store	VERB
iajs-221	79	24	the	the	DET
iajs-221	79	25	finished	finished	ADJ
iajs-221	79	26	products	product	NOUN
iajs-221	79	27	.	.	PUNCT
iajs-221	80	1	to	to	PART
iajs-221	80	2	produce	produce	VERB
iajs-221	80	3	“	"	PUNCT
iajs-221	80	4	just	just	ADV
iajs-221	80	5	in	in	ADP
iajs-221	80	6	time	time	NOUN
iajs-221	80	7	”	"	PUNCT
iajs-221	80	8	therefore	therefore	ADV
iajs-221	80	9	a	a	DET
iajs-221	80	10	trade	trade	NOUN
iajs-221	80	11	-	-	PUNCT
iajs-221	80	12	off	off	ADP
iajs-221	80	13	production	production	NOUN
iajs-221	80	14	slightly	slightly	ADV
iajs-221	80	15	late	late	ADV
iajs-221	80	16	and	and	CCONJ
iajs-221	80	17	not	not	PART
iajs-221	80	18	too	too	ADV
iajs-221	80	19	early	early	ADV
iajs-221	80	20	.	.	PUNCT
iajs-221	81	1	the	the	DET
iajs-221	81	2	total	total	ADJ
iajs-221	81	3	completion	completion	NOUN
iajs-221	81	4	time	time	NOUN
iajs-221	81	5	(	(	PUNCT
iajs-221	81	6	∑ci	∑ci	PUNCT
iajs-221	81	7	)	)	PUNCT
iajs-221	81	8	and	and	CCONJ
iajs-221	81	9	the	the	DET
iajs-221	81	10	maximum	maximum	ADJ
iajs-221	81	11	tardiness	tardiness	NOUN
iajs-221	81	12	(	(	PUNCT
iajs-221	81	13	tmax	tmax	ADV
iajs-221	81	14	)	)	PUNCT
iajs-221	81	15	are	be	AUX
iajs-221	81	16	the	the	DET
iajs-221	81	17	most	most	ADV
iajs-221	81	18	famous	famous	ADJ
iajs-221	81	19	measures	measure	NOUN
iajs-221	81	20	among	among	ADP
iajs-221	81	21	the	the	DET
iajs-221	81	22	scheduling	scheduling	NOUN
iajs-221	81	23	objectives	objective	NOUN
iajs-221	81	24	in	in	ADP
iajs-221	81	25	industrial	industrial	ADJ
iajs-221	81	26	applications	application	NOUN
iajs-221	81	27	.	.	PUNCT
iajs-221	82	1	minimizing	minimize	VERB
iajs-221	82	2	(	(	PUNCT
iajs-221	82	3	∑ci	∑ci	X
iajs-221	82	4	)	)	PUNCT
iajs-221	82	5	involves	involve	VERB
iajs-221	82	6	maintaining	maintain	VERB
iajs-221	82	7	the	the	DET
iajs-221	82	8	work	work	NOUN
iajs-221	82	9	in	in	ADP
iajs-221	82	10	process	process	NOUN
iajs-221	82	11	inventory	inventory	NOUN
iajs-221	82	12	at	at	ADP
iajs-221	82	13	a	a	DET
iajs-221	82	14	low	low	ADJ
iajs-221	82	15	level	level	NOUN
iajs-221	82	16	.	.	PUNCT
iajs-221	83	1	minimizing	minimize	VERB
iajs-221	83	2	(	(	PUNCT
iajs-221	83	3	tmax	tmax	ADV
iajs-221	83	4	)	)	PUNCT
iajs-221	83	5	involves	involve	VERB
iajs-221	83	6	reducing	reduce	VERB
iajs-221	83	7	the	the	DET
iajs-221	83	8	penalties	penalty	NOUN
iajs-221	83	9	incurred	incur	VERB
iajs-221	83	10	for	for	ADP
iajs-221	83	11	late	late	ADJ
iajs-221	83	12	jobs	job	NOUN
iajs-221	83	13	.	.	PUNCT
iajs-221	84	1	also	also	ADV
iajs-221	84	2	minimizing	minimize	VERB
iajs-221	84	3	total	total	ADJ
iajs-221	84	4	tardiness	tardiness	NOUN
iajs-221	84	5	(	(	PUNCT
iajs-221	84	6	∑ti	∑ti	NUM
iajs-221	84	7	)	)	PUNCT
iajs-221	84	8	involves	involve	VERB
iajs-221	84	9	reducing	reduce	VERB
iajs-221	84	10	the	the	DET
iajs-221	84	11	total	total	ADJ
iajs-221	84	12	penalties	penalty	NOUN
iajs-221	84	13	incurred	incur	VERB
iajs-221	84	14	for	for	ADP
iajs-221	84	15	late	late	ADJ
iajs-221	84	16	jobs	job	NOUN
iajs-221	84	17	.	.	PUNCT
iajs-221	85	1	this	this	DET
iajs-221	85	2	paper	paper	NOUN
iajs-221	85	3	considers	consider	VERB
iajs-221	85	4	the	the	DET
iajs-221	85	5	scheduling	scheduling	NOUN
iajs-221	85	6	problem	problem	NOUN
iajs-221	85	7	which	which	PRON
iajs-221	85	8	involves	involve	VERB
iajs-221	85	9	three	three	NUM
iajs-221	85	10	criteria	criterion	NOUN
iajs-221	85	11	on	on	ADP
iajs-221	85	12	a	a	DET
iajs-221	85	13	single	single	ADJ
iajs-221	85	14	machine	machine	NOUN
iajs-221	85	15	.	.	PUNCT
iajs-221	86	1	the	the	DET
iajs-221	86	2	multicriteria	multicriteria	PROPN
iajs-221	86	3	scheduling	scheduling	NOUN
iajs-221	86	4	problems	problem	NOUN
iajs-221	86	5	are	be	AUX
iajs-221	86	6	generally	generally	ADV
iajs-221	86	7	divided	divide	VERB
iajs-221	86	8	into	into	ADP
iajs-221	86	9	three	three	NUM
iajs-221	86	10	classes	class	NOUN
iajs-221	86	11	.	.	PUNCT
iajs-221	87	1	in	in	ADP
iajs-221	87	2	the	the	DET
iajs-221	87	3	first	first	ADJ
iajs-221	87	4	class	class	NOUN
iajs-221	87	5	,	,	PUNCT
iajs-221	87	6	the	the	DET
iajs-221	87	7	problem	problem	NOUN
iajs-221	87	8	involves	involve	VERB
iajs-221	87	9	minimization	minimization	NOUN
iajs-221	87	10	one	one	NUM
iajs-221	87	11	of	of	ADP
iajs-221	87	12	the	the	DET
iajs-221	87	13	criteria	criterion	NOUN
iajs-221	87	14	(	(	PUNCT
iajs-221	87	15	∑ci	∑ci	X
iajs-221	87	16	,	,	PUNCT
iajs-221	87	17	tmax,∑ti	tmax,∑ti	NOUN
iajs-221	87	18	,	,	PUNCT
iajs-221	87	19	)	)	PUNCT
iajs-221	87	20	,	,	PUNCT
iajs-221	87	21	which	which	PRON
iajs-221	87	22	is	be	AUX
iajs-221	87	23	more	more	ADV
iajs-221	87	24	important	important	ADJ
iajs-221	87	25	than	than	ADP
iajs-221	87	26	the	the	DET
iajs-221	87	27	others	other	NOUN
iajs-221	87	28	,	,	PUNCT
iajs-221	87	29	subject	subject	ADJ
iajs-221	87	30	to	to	ADP
iajs-221	87	31	the	the	DET
iajs-221	87	32	constraints	constraint	NOUN
iajs-221	87	33	that	that	PRON
iajs-221	87	34	the	the	DET
iajs-221	87	35	other	other	ADJ
iajs-221	87	36	criteria	criterion	NOUN
iajs-221	87	37	have	have	VERB
iajs-221	87	38	to	to	PART
iajs-221	87	39	be	be	AUX
iajs-221	87	40	optimized	optimize	VERB
iajs-221	87	41	.	.	PUNCT
iajs-221	88	1	in	in	ADP
iajs-221	88	2	the	the	DET
iajs-221	88	3	second	second	ADJ
iajs-221	88	4	class	class	NOUN
iajs-221	88	5	,	,	PUNCT
iajs-221	88	6	all	all	DET
iajs-221	88	7	the	the	DET
iajs-221	88	8	criteria	criterion	NOUN
iajs-221	88	9	are	be	AUX
iajs-221	88	10	considered	consider	VERB
iajs-221	88	11	equally	equally	ADV
iajs-221	88	12	important	important	ADJ
iajs-221	88	13	and	and	CCONJ
iajs-221	88	14	the	the	DET
iajs-221	88	15	problem	problem	NOUN
iajs-221	88	16	involves	involve	VERB
iajs-221	88	17	finding	find	VERB
iajs-221	88	18	efficient	efficient	ADJ
iajs-221	88	19	set	set	NOUN
iajs-221	88	20	of	of	ADP
iajs-221	88	21	solutions	solution	NOUN
iajs-221	88	22	.	.	PUNCT
iajs-221	89	1	in	in	ADP
iajs-221	89	2	the	the	DET
iajs-221	89	3	third	third	ADJ
iajs-221	89	4	class	class	NOUN
iajs-221	89	5	,	,	PUNCT
iajs-221	89	6	all	all	DET
iajs-221	89	7	criteria	criterion	NOUN
iajs-221	89	8	are	be	AUX
iajs-221	89	9	weighted	weight	VERB
iajs-221	89	10	differently	differently	ADV
iajs-221	89	11	and	and	CCONJ
iajs-221	89	12	an	an	DET
iajs-221	89	13	objective	objective	ADJ
iajs-221	89	14	function	function	NOUN
iajs-221	89	15	as	as	SCONJ
iajs-221	89	16	the	the	DET
iajs-221	89	17	sum	sum	NOUN
iajs-221	89	18	of	of	ADP
iajs-221	89	19	weighted	weight	VERB
iajs-221	89	20	functions	function	NOUN
iajs-221	89	21	is	be	AUX
iajs-221	89	22	defined	define	VERB
iajs-221	89	23	.	.	PUNCT
iajs-221	90	1	the	the	DET
iajs-221	90	2	problems	problem	NOUN
iajs-221	90	3	considered	consider	VERB
iajs-221	90	4	in	in	ADP
iajs-221	90	5	this	this	DET
iajs-221	90	6	paper	paper	NOUN
iajs-221	90	7	belong	belong	VERB
iajs-221	90	8	to	to	ADP
iajs-221	90	9	the	the	DET
iajs-221	90	10	three	three	NUM
iajs-221	90	11	classes	class	NOUN
iajs-221	90	12	above	above	ADV
iajs-221	90	13	.	.	PUNCT
iajs-221	91	1	in	in	ADP
iajs-221	91	2	order	order	NOUN
iajs-221	91	3	to	to	PART
iajs-221	91	4	describe	describe	VERB
iajs-221	91	5	the	the	DET
iajs-221	91	6	multi	multi	ADJ
iajs-221	91	7	-	-	ADJ
iajs-221	91	8	objective	objective	ADJ
iajs-221	91	9	optimization	optimization	NOUN
iajs-221	91	10	in	in	ADP
iajs-221	91	11	general	general	ADJ
iajs-221	91	12	,	,	PUNCT
iajs-221	91	13	consider	consider	VERB
iajs-221	91	14	a	a	DET
iajs-221	91	15	problem	problem	NOUN
iajs-221	91	16	with	with	ADP
iajs-221	91	17	k	k	PROPN
iajs-221	91	18	(	(	PUNCT
iajs-221	91	19	k≥2	k≥2	PROPN
iajs-221	91	20	)	)	PUNCT
iajs-221	91	21	conflicting	conflict	VERB
iajs-221	91	22	objective	objective	ADJ
iajs-221	91	23	functions	function	NOUN
iajs-221	91	24	(	(	PUNCT
iajs-221	91	25	fi	fi	NOUN
iajs-221	91	26	:	:	PUNCT
iajs-221	91	27	rn	rn	PROPN
iajs-221	91	28	→r	→r	PROPN
iajs-221	91	29	)	)	PUNCT
iajs-221	91	30	that	that	PRON
iajs-221	91	31	are	be	AUX
iajs-221	91	32	to	to	PART
iajs-221	91	33	be	be	AUX
iajs-221	91	34	minimized	minimize	VERB
iajs-221	91	35	simultaneously	simultaneously	ADV
iajs-221	91	36	.	.	PUNCT
iajs-221	92	1	that	that	PRON
iajs-221	92	2	is	is	ADV
iajs-221	92	3	,	,	PUNCT
iajs-221	92	4	we	we	PRON
iajs-221	92	5	wish	wish	VERB
iajs-221	92	6	to	to	PART
iajs-221	92	7	find	find	VERB
iajs-221	92	8	a	a	DET
iajs-221	92	9	solution	solution	NOUN
iajs-221	92	10	,	,	PUNCT
iajs-221	92	11	x=(x1,x2	x=(x1,x2	NUM
iajs-221	92	12	…	…	SYM
iajs-221	92	13	,xk	,xk	NOUN
iajs-221	92	14	)	)	PUNCT
iajs-221	92	15	,	,	PUNCT
iajs-221	92	16	from	from	ADP
iajs-221	92	17	the	the	DET
iajs-221	92	18	set	set	NOUN
iajs-221	92	19	of	of	ADP
iajs-221	92	20	feasible	feasible	ADJ
iajs-221	92	21	solutions	solution	NOUN
iajs-221	92	22	x	x	NOUN
iajs-221	92	23	,	,	PUNCT
iajs-221	92	24	that	that	PRON
iajs-221	92	25	solves	solve	VERB
iajs-221	92	26	the	the	DET
iajs-221	92	27	problem	problem	NOUN
iajs-221	92	28	min	min	PROPN
iajs-221	92	29	f(x	f(x	PROPN
iajs-221	92	30	)	)	PUNCT
iajs-221	93	1	=	=	NOUN
iajs-221	93	2	{	{	PUNCT
iajs-221	93	3	f1(x	f1(x	NOUN
iajs-221	93	4	)	)	PUNCT
iajs-221	93	5	,	,	PUNCT
iajs-221	93	6	f2(x),	f2(x),	PROPN
iajs-221	93	7	…	…	SYM
iajs-221	93	8	,fk(x	,fk(x	ADJ
iajs-221	93	9	)	)	PUNCT
iajs-221	93	10	}	}	PUNCT
iajs-221	93	11	.	.	PUNCT
iajs-221	94	1	since	since	SCONJ
iajs-221	94	2	it	it	PRON
iajs-221	94	3	is	be	AUX
iajs-221	94	4	assumed	assume	VERB
iajs-221	94	5	that	that	SCONJ
iajs-221	94	6	the	the	DET
iajs-221	94	7	objectives	objective	NOUN
iajs-221	94	8	conflict	conflict	NOUN
iajs-221	94	9	,	,	PUNCT
iajs-221	94	10	there	there	PRON
iajs-221	94	11	is	be	VERB
iajs-221	94	12	no	no	DET
iajs-221	94	13	single	single	ADJ
iajs-221	94	14	value	value	NOUN
iajs-221	94	15	of	of	ADP
iajs-221	94	16	x	x	PRON
iajs-221	94	17	that	that	PRON
iajs-221	94	18	minimizes	minimize	VERB
iajs-221	94	19	all	all	DET
iajs-221	94	20	objectives	objective	NOUN
iajs-221	94	21	simultaneously	simultaneously	ADV
iajs-221	94	22	as	as	ADP
iajs-221	94	23	in	in	ADP
iajs-221	94	24	the	the	DET
iajs-221	94	25	single	single	ADJ
iajs-221	94	26	objective	objective	ADJ
iajs-221	94	27	sense	sense	NOUN
iajs-221	94	28	,	,	PUNCT
iajs-221	94	29	so	so	ADV
iajs-221	94	30	‘	'	PUNCT
iajs-221	94	31	‘	'	PUNCT
iajs-221	94	32	optimal	optimal	ADJ
iajs-221	94	33	’’	’'	PUNCT
iajs-221	94	34	must	must	AUX
iajs-221	94	35	be	be	AUX
iajs-221	94	36	defined	define	VERB
iajs-221	94	37	differently	differently	ADV
iajs-221	94	38	.	.	PUNCT
iajs-221	95	1	158	158	NUM
iajs-221	96	1	|	|	ADV
iajs-221	96	2	mathematics	mathematic	NOUN
iajs-221	96	3	٢٠١٥	٢٠١٥	NUM
iajs-221	96	4	)	)	PUNCT
iajs-221	96	5	عام	عام	ADP
iajs-221	96	6	٢العدد	٢العدد	PROPN
iajs-221	96	7	(	(	PUNCT
iajs-221	96	8	٢٨مجلة	٢٨مجلة	X
iajs-221	96	9	ابن	ابن	PROPN
iajs-221	96	10	الھيثم	الھيثم	PROPN
iajs-221	96	11	للعلوم	للعلوم	PROPN
iajs-221	96	12	الصرفة	الصرفة	PROPN
iajs-221	96	13	والتطبيقية	والتطبيقية	PRON
iajs-221	96	14	المجلد	المجلد	VERB
iajs-221	96	15	ibn	ibn	PROPN
iajs-221	96	16	al	al	PROPN
iajs-221	96	17	-	-	PUNCT
iajs-221	96	18	haitham	haitham	PROPN
iajs-221	96	19	.	.	PUNCT
iajs-221	97	1	j.	j.	PROPN
iajs-221	97	2	for	for	ADP
iajs-221	97	3	pure	pure	PROPN
iajs-221	97	4	&	&	CCONJ
iajs-221	97	5	appl	appl	PROPN
iajs-221	97	6	.	.	PUNCT
iajs-221	98	1	sci	sci	PROPN
iajs-221	98	2	.	.	PUNCT
iajs-221	98	3	vol	vol	NOUN
iajs-221	98	4	.	.	PROPN
iajs-221	99	1	28	28	NUM
iajs-221	99	2	(	(	PUNCT
iajs-221	99	3	2	2	NUM
iajs-221	99	4	)	)	PUNCT
iajs-221	99	5	2015	2015	NUM
iajs-221	99	6	3	3	NUM
iajs-221	99	7	.	.	PUNCT
iajs-221	99	8	minimizing	minimize	VERB
iajs-221	99	9	total	total	ADJ
iajs-221	99	10	flow	flow	NOUN
iajs-221	99	11	time	time	NOUN
iajs-221	99	12	,	,	PUNCT
iajs-221	99	13	total	total	ADJ
iajs-221	99	14	tardiness	tardiness	NOUN
iajs-221	99	15	and	and	CCONJ
iajs-221	99	16	maximum	maximum	ADJ
iajs-221	99	17	tardiness	tardiness	NOUN
iajs-221	99	18	let	let	VERB
iajs-221	99	19	n={1,2,	n={1,2,	NOUN
iajs-221	99	20	…	…	SYM
iajs-221	99	21	,n	,n	NOUN
iajs-221	99	22	}	}	PUNCT
iajs-221	99	23	be	be	VERB
iajs-221	99	24	the	the	DET
iajs-221	99	25	set	set	NOUN
iajs-221	99	26	of	of	ADP
iajs-221	99	27	jobs	job	NOUN
iajs-221	99	28	which	which	PRON
iajs-221	99	29	are	be	AUX
iajs-221	99	30	available	available	ADJ
iajs-221	99	31	at	at	ADP
iajs-221	99	32	time	time	NOUN
iajs-221	99	33	zero	zero	NUM
iajs-221	99	34	and	and	CCONJ
iajs-221	99	35	require	require	VERB
iajs-221	99	36	processing	processing	NOUN
iajs-221	99	37	on	on	ADP
iajs-221	99	38	a	a	DET
iajs-221	99	39	single	single	ADJ
iajs-221	99	40	machine	machine	NOUN
iajs-221	99	41	.	.	PUNCT
iajs-221	100	1	each	each	DET
iajs-221	100	2	job	job	NOUN
iajs-221	100	3	jϵn	jϵn	NOUN
iajs-221	100	4	has	have	AUX
iajs-221	100	5	processing	process	VERB
iajs-221	100	6	time	time	NOUN
iajs-221	100	7	pj	pj	PROPN
iajs-221	100	8	and	and	CCONJ
iajs-221	100	9	a	a	DET
iajs-221	100	10	due	due	ADJ
iajs-221	100	11	date	date	NOUN
iajs-221	100	12	dj	dj	NOUN
iajs-221	100	13	,	,	PUNCT
iajs-221	100	14	given	give	VERB
iajs-221	100	15	a	a	DET
iajs-221	100	16	sequence	sequence	NOUN
iajs-221	100	17	σ=(σ(1),	σ=(σ(1),	ADJ
iajs-221	100	18	…	…	SYM
iajs-221	100	19	,σ(n	,σ(n	PUNCT
iajs-221	100	20	)	)	PUNCT
iajs-221	100	21	)	)	PUNCT
iajs-221	100	22	of	of	ADP
iajs-221	100	23	jobs	job	NOUN
iajs-221	100	24	,	,	PUNCT
iajs-221	100	25	produce	produce	VERB
iajs-221	100	26	the	the	DET
iajs-221	100	27	earliest	early	ADJ
iajs-221	100	28	completion	completion	NOUN
iajs-221	100	29	time	time	NOUN
iajs-221	100	30	∑	∑	PUNCT
iajs-221	100	31	,	,	PUNCT
iajs-221	100	32	the	the	DET
iajs-221	100	33	tardiness	tardiness	NOUN
iajs-221	100	34	of	of	ADP
iajs-221	100	35	job	job	NOUN
iajs-221	100	36	j	j	PROPN
iajs-221	100	37	,	,	PUNCT
iajs-221	100	38	,	,	PUNCT
iajs-221	100	39	0	0	NUM
iajs-221	100	40	,	,	PUNCT
iajs-221	100	41	consequently	consequently	ADV
iajs-221	100	42	we	we	PRON
iajs-221	100	43	have	have	VERB
iajs-221	100	44	total	total	ADJ
iajs-221	100	45	flow	flow	NOUN
iajs-221	100	46	times	time	NOUN
iajs-221	100	47	∑	∑	PUNCT
iajs-221	100	48	,	,	PUNCT
iajs-221	100	49	total	total	ADJ
iajs-221	100	50	tardiness	tardiness	NOUN
iajs-221	100	51	∑	∑	PUNCT
iajs-221	100	52	and	and	CCONJ
iajs-221	100	53	maximum	maximum	ADJ
iajs-221	100	54	tardiness	tardiness	NOUN
iajs-221	100	55	tmax(σ	tmax(σ	PROPN
iajs-221	100	56	)	)	PUNCT
iajs-221	100	57	=	=	SYM
iajs-221	100	58	max	max	PROPN
iajs-221	100	59	.	.	PUNCT
iajs-221	101	1	the	the	DET
iajs-221	101	2	optimality	optimality	NOUN
iajs-221	101	3	criteria	criterion	NOUN
iajs-221	101	4	are	be	AUX
iajs-221	101	5	based	base	VERB
iajs-221	101	6	on	on	ADP
iajs-221	101	7	the	the	DET
iajs-221	101	8	completion	completion	NOUN
iajs-221	101	9	times	time	NOUN
iajs-221	101	10	of	of	ADP
iajs-221	101	11	the	the	DET
iajs-221	101	12	jobs	job	NOUN
iajs-221	101	13	j	j	PROPN
iajs-221	101	14	in	in	ADP
iajs-221	101	15	the	the	DET
iajs-221	101	16	schedule	schedule	NOUN
iajs-221	101	17	σ	σ	NOUN
iajs-221	101	18	:	:	PUNCT
iajs-221	101	19			X
iajs-221	101	20	the	the	DET
iajs-221	101	21	minimization	minimization	NOUN
iajs-221	101	22	of	of	ADP
iajs-221	101	23	the	the	DET
iajs-221	101	24	sum	sum	NOUN
iajs-221	101	25	of	of	ADP
iajs-221	101	26	flow	flow	NOUN
iajs-221	101	27	times	time	NOUN
iajs-221	101	28	∑	∑	PUNCT
iajs-221	101	29	∈	∈	PROPN
iajs-221	101	30			NOUN
iajs-221	102	1	the	the	DET
iajs-221	102	2	minimization	minimization	NOUN
iajs-221	102	3	of	of	ADP
iajs-221	102	4	the	the	DET
iajs-221	102	5	maximum	maximum	ADJ
iajs-221	102	6	tardiness	tardiness	NOUN
iajs-221	102	7	,	,	PUNCT
iajs-221	102	8	…	…	PUNCT
iajs-221	102	9	,	,	PUNCT
iajs-221	102	10	.	.	PUNCT
iajs-221	103	1			X
iajs-221	104	1	the	the	DET
iajs-221	104	2	minimization	minimization	NOUN
iajs-221	104	3	of	of	ADP
iajs-221	104	4	the	the	DET
iajs-221	104	5	total	total	ADJ
iajs-221	104	6	tardiness	tardiness	NOUN
iajs-221	104	7	∑	∑	PUNCT
iajs-221	104	8	∈	∈	PROPN
iajs-221	104	9	consider	consider	VERB
iajs-221	104	10	the	the	DET
iajs-221	104	11	problem	problem	NOUN
iajs-221	104	12	denoted	denote	VERB
iajs-221	104	13	by	by	ADP
iajs-221	104	14	the	the	DET
iajs-221	104	15	1//f(∑ci	1//f(∑ci	NUM
iajs-221	104	16	,	,	PUNCT
iajs-221	104	17	∑ti	∑ti	PUNCT
iajs-221	104	18	,	,	PUNCT
iajs-221	104	19	tmax	tmax	NUM
iajs-221	104	20	)	)	PUNCT
iajs-221	104	21	problem	problem	NOUN
iajs-221	104	22	(	(	PUNCT
iajs-221	104	23	tp	tp	NOUN
iajs-221	104	24	)	)	PUNCT
iajs-221	104	25	.	.	PUNCT
iajs-221	105	1	we	we	PRON
iajs-221	105	2	will	will	AUX
iajs-221	105	3	try	try	VERB
iajs-221	105	4	to	to	PART
iajs-221	105	5	find	find	VERB
iajs-221	105	6	efficient	efficient	ADJ
iajs-221	105	7	(	(	PUNCT
iajs-221	105	8	pareto	pareto	ADJ
iajs-221	105	9	optimal	optimal	ADJ
iajs-221	105	10	)	)	PUNCT
iajs-221	105	11	solutions	solution	NOUN
iajs-221	105	12	for	for	ADP
iajs-221	105	13	(	(	PUNCT
iajs-221	105	14	tp	tp	NOUN
iajs-221	105	15	)	)	PUNCT
iajs-221	105	16	which	which	PRON
iajs-221	105	17	can	can	AUX
iajs-221	105	18	be	be	AUX
iajs-221	105	19	written	write	VERB
iajs-221	105	20	as	as	ADP
iajs-221	105	21	:	:	PUNCT
iajs-221	105	22	∑	∑	PUNCT
iajs-221	105	23	∑	∑	PROPN
iajs-221	105	24	.	.	PUNCT
iajs-221	105	25	.	.	PUNCT
iajs-221	106	1	1	1	NUM
iajs-221	106	2	,	,	PUNCT
iajs-221	106	3	…	…	PUNCT
iajs-221	106	4	,	,	PUNCT
iajs-221	106	5	2	2	NUM
iajs-221	106	6	,	,	PUNCT
iajs-221	106	7	…	…	PUNCT
iajs-221	106	8	,	,	PUNCT
iajs-221	106	9	1	1	NUM
iajs-221	106	10	,	,	PUNCT
iajs-221	106	11	…	…	PUNCT
iajs-221	106	12	,	,	PUNCT
iajs-221	106	13	0	0	NUM
iajs-221	106	14	1	1	NUM
iajs-221	106	15	,	,	PUNCT
iajs-221	106	16	…	…	PUNCT
iajs-221	106	17	,	,	PUNCT
iajs-221	106	18	.	.	PUNCT
iajs-221	106	19	.	.	PUNCT
iajs-221	106	20	.	.	PUNCT
iajs-221	107	1	this	this	DET
iajs-221	107	2	problem	problem	NOUN
iajs-221	107	3	(	(	PUNCT
iajs-221	107	4	tp	tp	NOUN
iajs-221	107	5	)	)	PUNCT
iajs-221	107	6	is	be	AUX
iajs-221	107	7	difficult	difficult	ADJ
iajs-221	107	8	to	to	PART
iajs-221	107	9	solve	solve	VERB
iajs-221	107	10	and	and	CCONJ
iajs-221	107	11	find	find	VERB
iajs-221	107	12	the	the	DET
iajs-221	107	13	set	set	NOUN
iajs-221	107	14	of	of	ADP
iajs-221	107	15	all	all	PRON
iajs-221	107	16	efficient	efficient	ADJ
iajs-221	107	17	(	(	PUNCT
iajs-221	107	18	pareto	pareto	ADJ
iajs-221	107	19	optimal	optimal	ADJ
iajs-221	107	20	)	)	PUNCT
iajs-221	107	21	solutions	solution	NOUN
iajs-221	107	22	,	,	PUNCT
iajs-221	107	23	we	we	PRON
iajs-221	107	24	will	will	AUX
iajs-221	107	25	propose	propose	VERB
iajs-221	107	26	efficient	efficient	ADJ
iajs-221	107	27	algorithms	algorithm	NOUN
iajs-221	107	28	to	to	PART
iajs-221	107	29	find	find	VERB
iajs-221	107	30	approximate	approximate	ADJ
iajs-221	107	31	set	set	NOUN
iajs-221	107	32	of	of	ADP
iajs-221	107	33	efficient	efficient	ADJ
iajs-221	107	34	solutions	solution	NOUN
iajs-221	107	35	for	for	ADP
iajs-221	107	36	the	the	DET
iajs-221	107	37	problem	problem	NOUN
iajs-221	107	38	(	(	PUNCT
iajs-221	107	39	tp	tp	NOUN
iajs-221	107	40	)	)	PUNCT
iajs-221	107	41	.	.	PUNCT
iajs-221	108	1	3.1	3.1	NUM
iajs-221	108	2	special	special	ADJ
iajs-221	108	3	cases	case	NOUN
iajs-221	108	4	for	for	ADP
iajs-221	108	5	the	the	DET
iajs-221	108	6	problem	problem	NOUN
iajs-221	108	7	(	(	PUNCT
iajs-221	108	8	tp	tp	NOUN
iajs-221	108	9	)	)	PUNCT
iajs-221	108	10	consider	consider	VERB
iajs-221	108	11	the	the	DET
iajs-221	108	12	following	follow	VERB
iajs-221	108	13	problems	problem	NOUN
iajs-221	108	14	,	,	PUNCT
iajs-221	108	15	which	which	PRON
iajs-221	108	16	are	be	AUX
iajs-221	108	17	special	special	ADJ
iajs-221	108	18	cases	case	NOUN
iajs-221	108	19	of	of	ADP
iajs-221	108	20	the	the	DET
iajs-221	108	21	problem	problem	NOUN
iajs-221	108	22	(	(	PUNCT
iajs-221	108	23	tp	tp	NOUN
iajs-221	108	24	)	)	PUNCT
iajs-221	108	25	,	,	PUNCT
iajs-221	108	26	the	the	DET
iajs-221	108	27	object	object	NOUN
iajs-221	108	28	is	be	AUX
iajs-221	108	29	to	to	PART
iajs-221	108	30	find	find	VERB
iajs-221	108	31	a	a	DET
iajs-221	108	32	schedule	schedule	NOUN
iajs-221	108	33	that	that	PRON
iajs-221	108	34	minimize	minimize	VERB
iajs-221	108	35	the	the	DET
iajs-221	108	36	multicriteria	multicriteria	NOUN
iajs-221	108	37	for	for	ADP
iajs-221	108	38	the	the	DET
iajs-221	108	39	following	following	ADJ
iajs-221	108	40	problems	problem	NOUN
iajs-221	108	41	:	:	PUNCT
iajs-221	108	42	11//lex(∑ci	11//lex(∑ci	NUM
iajs-221	108	43	,	,	PUNCT
iajs-221	108	44	∑ti	∑ti	PUNCT
iajs-221	108	45	,	,	PUNCT
iajs-221	108	46	tmax	tmax	NUM
iajs-221	108	47	)	)	PUNCT
iajs-221	108	48	problem	problem	NOUN
iajs-221	108	49	(	(	PUNCT
iajs-221	108	50	tp1	tp1	NOUN
iajs-221	108	51	)	)	PUNCT
iajs-221	108	52	21//lex(∑ci	21//lex(∑ci	NUM
iajs-221	108	53	,	,	PUNCT
iajs-221	108	54	tmax	tmax	ADV
iajs-221	108	55	,	,	PUNCT
iajs-221	108	56	∑ti	∑ti	NUM
iajs-221	108	57	)	)	PUNCT
iajs-221	108	58	probem	probem	NOUN
iajs-221	108	59	(	(	PUNCT
iajs-221	108	60	tp2	tp2	NOUN
iajs-221	108	61	)	)	PUNCT
iajs-221	108	62	31//lex(tmax	31//lex(tmax	PROPN
iajs-221	108	63	,	,	PUNCT
iajs-221	108	64	∑ci	∑ci	X
iajs-221	108	65	,	,	PUNCT
iajs-221	108	66	∑ti	∑ti	NUM
iajs-221	108	67	)	)	PUNCT
iajs-221	108	68	problem	problem	NOUN
iajs-221	108	69	(	(	PUNCT
iajs-221	108	70	tp3	tp3	NOUN
iajs-221	108	71	)	)	PUNCT
iajs-221	108	72	41//lex(tmax	41//lex(tmax	NOUN
iajs-221	108	73	,	,	PUNCT
iajs-221	108	74	∑ti	∑ti	NUM
iajs-221	108	75	,	,	PUNCT
iajs-221	108	76	∑ci	∑ci	NUM
iajs-221	108	77	)	)	PUNCT
iajs-221	108	78	problem	problem	NOUN
iajs-221	108	79	(	(	PUNCT
iajs-221	108	80	tp4	tp4	NOUN
iajs-221	108	81	)	)	PUNCT
iajs-221	108	82	51//lex(∑ti	51//lex(∑ti	PROPN
iajs-221	108	83	,	,	PUNCT
iajs-221	108	84	∑ci	∑ci	X
iajs-221	108	85	,	,	PUNCT
iajs-221	108	86	tmax	tmax	NUM
iajs-221	108	87	)	)	PUNCT
iajs-221	108	88	problem	problem	NOUN
iajs-221	108	89	(	(	PUNCT
iajs-221	108	90	tp5	tp5	NOUN
iajs-221	108	91	)	)	PUNCT
iajs-221	108	92	61//lex(∑ti	61//lex(∑ti	NUM
iajs-221	108	93	,	,	PUNCT
iajs-221	108	94	tmax	tmax	ADV
iajs-221	108	95	,	,	PUNCT
iajs-221	108	96	∑ci	∑ci	NUM
iajs-221	108	97	)	)	PUNCT
iajs-221	108	98	problem	problem	NOUN
iajs-221	108	99	(	(	PUNCT
iajs-221	108	100	tp6	tp6	NOUN
iajs-221	108	101	)	)	PUNCT
iajs-221	108	102	71//∑ci+∑ti+tmax	71//∑ci+∑ti+tmax	NUM
iajs-221	108	103	problem	problem	NOUN
iajs-221	108	104	(	(	PUNCT
iajs-221	108	105	tp7	tp7	NOUN
iajs-221	108	106	)	)	PUNCT
iajs-221	108	107	3.1.1	3.1.1	NUM
iajs-221	108	108	the	the	DET
iajs-221	108	109	1//lex(∑ci	1//lex(∑ci	NUM
iajs-221	108	110	,	,	PUNCT
iajs-221	108	111	∑ti	∑ti	PUNCT
iajs-221	108	112	,	,	PUNCT
iajs-221	108	113	tmax	tmax	NUM
iajs-221	108	114	)	)	PUNCT
iajs-221	108	115	problem	problem	NOUN
iajs-221	108	116	(	(	PUNCT
iajs-221	108	117	tp1	tp1	NOUN
iajs-221	108	118	)	)	PUNCT
iajs-221	108	119	this	this	DET
iajs-221	108	120	problem	problem	NOUN
iajs-221	108	121	can	can	AUX
iajs-221	108	122	be	be	AUX
iajs-221	108	123	defined	define	VERB
iajs-221	108	124	as	as	ADP
iajs-221	108	125	:	:	PUNCT
iajs-221	108	126	.	.	PUNCT
iajs-221	108	127	.	.	PUNCT
iajs-221	109	1	∗	∗	NOUN
iajs-221	109	2	,	,	PUNCT
iajs-221	109	3	∗	∗	NOUN
iajs-221	109	4	∑	∑	PUNCT
iajs-221	109	5	,	,	PUNCT
iajs-221	109	6	∑	∑	ADV
iajs-221	109	7	,	,	PUNCT
iajs-221	109	8	∑	∑	PROPN
iajs-221	109	9	.	.	PUNCT
iajs-221	109	10	.	.	PUNCT
iajs-221	109	11	.	.	PUNCT
iajs-221	110	1	159	159	NUM
iajs-221	110	2	|	|	ADV
iajs-221	110	3	mathematics	mathematic	NOUN
iajs-221	110	4	٢٠١٥	٢٠١٥	NUM
iajs-221	110	5	)	)	PUNCT
iajs-221	110	6	عام	عام	ADP
iajs-221	110	7	٢العدد	٢العدد	PROPN
iajs-221	110	8	(	(	PUNCT
iajs-221	110	9	٢٨مجلة	٢٨مجلة	X
iajs-221	110	10	ابن	ابن	PROPN
iajs-221	110	11	الھيثم	الھيثم	PROPN
iajs-221	110	12	للعلوم	للعلوم	PROPN
iajs-221	110	13	الصرفة	الصرفة	PROPN
iajs-221	110	14	والتطبيقية	والتطبيقية	PRON
iajs-221	110	15	المجلد	المجلد	VERB
iajs-221	110	16	ibn	ibn	PROPN
iajs-221	110	17	al	al	PROPN
iajs-221	110	18	-	-	PUNCT
iajs-221	110	19	haitham	haitham	PROPN
iajs-221	110	20	.	.	PUNCT
iajs-221	111	1	j.	j.	PROPN
iajs-221	111	2	for	for	ADP
iajs-221	111	3	pure	pure	PROPN
iajs-221	111	4	&	&	CCONJ
iajs-221	111	5	appl	appl	PROPN
iajs-221	111	6	.	.	PUNCT
iajs-221	112	1	sci	sci	PROPN
iajs-221	112	2	.	.	PUNCT
iajs-221	112	3	vol	vol	NOUN
iajs-221	112	4	.	.	PROPN
iajs-221	113	1	28	28	NUM
iajs-221	113	2	(	(	PUNCT
iajs-221	113	3	2	2	NUM
iajs-221	113	4	)	)	PUNCT
iajs-221	113	5	2015	2015	NUM
iajs-221	113	6	since	since	SCONJ
iajs-221	113	7	in	in	ADP
iajs-221	113	8	this	this	DET
iajs-221	113	9	problem	problem	NOUN
iajs-221	113	10	(	(	PUNCT
iajs-221	113	11	tp1	tp1	NOUN
iajs-221	113	12	)	)	PUNCT
iajs-221	113	13	,	,	PUNCT
iajs-221	113	14	the	the	DET
iajs-221	113	15	∑	∑	PROPN
iajs-221	113	16	is	be	AUX
iajs-221	113	17	the	the	DET
iajs-221	113	18	more	more	ADV
iajs-221	113	19	important	important	ADJ
iajs-221	113	20	function	function	NOUN
iajs-221	113	21	and	and	CCONJ
iajs-221	113	22	should	should	AUX
iajs-221	113	23	be	be	AUX
iajs-221	113	24	optimal	optimal	ADJ
iajs-221	113	25	,	,	PUNCT
iajs-221	113	26	then	then	ADV
iajs-221	113	27	the	the	DET
iajs-221	113	28	following	follow	VERB
iajs-221	113	29	simple	simple	ADJ
iajs-221	113	30	algorithm	algorithm	NOUN
iajs-221	113	31	(	(	PUNCT
iajs-221	113	32	atp1	atp1	PROPN
iajs-221	113	33	)	)	PUNCT
iajs-221	113	34	gives	give	VERB
iajs-221	113	35	the	the	DET
iajs-221	113	36	best	good	ADJ
iajs-221	113	37	required	require	VERB
iajs-221	113	38	result	result	NOUN
iajs-221	113	39	.	.	PUNCT
iajs-221	114	1	algorithm	algorithm	NOUN
iajs-221	114	2	(	(	PUNCT
iajs-221	114	3	atp1	atp1	PROPN
iajs-221	114	4	)	)	PUNCT
iajs-221	114	5	for	for	ADP
iajs-221	114	6	1//lex(∑ci	1//lex(∑ci	NUM
iajs-221	114	7	,	,	PUNCT
iajs-221	114	8	∑ti	∑ti	PUNCT
iajs-221	114	9	,	,	PUNCT
iajs-221	114	10	tmax	tmax	NUM
iajs-221	114	11	)	)	PUNCT
iajs-221	114	12	problem	problem	NOUN
iajs-221	114	13	(	(	PUNCT
iajs-221	114	14	tp1	tp1	NOUN
iajs-221	114	15	):	):	PUNCT
iajs-221	114	16	step	step	NOUN
iajs-221	114	17	(	(	PUNCT
iajs-221	114	18	0	0	NUM
iajs-221	114	19	):	):	PUNCT
iajs-221	114	20	order	order	NOUN
iajs-221	114	21	the	the	DET
iajs-221	114	22	jobs	job	NOUN
iajs-221	114	23	by	by	ADP
iajs-221	114	24	spt	spt	ADJ
iajs-221	114	25	rule	rule	NOUN
iajs-221	114	26	and	and	CCONJ
iajs-221	114	27	calculate	calculate	NOUN
iajs-221	114	28	(	(	PUNCT
iajs-221	114	29	∑ci	∑ci	X
iajs-221	114	30	,	,	PUNCT
iajs-221	114	31	∑ti	∑ti	NUM
iajs-221	114	32	,	,	PUNCT
iajs-221	114	33	tmax	tmax	NUM
iajs-221	114	34	)	)	PUNCT
iajs-221	114	35	point	point	NOUN
iajs-221	114	36	.	.	PUNCT
iajs-221	115	1	step	step	NOUN
iajs-221	115	2	(	(	PUNCT
iajs-221	115	3	1	1	NUM
iajs-221	115	4	):	):	PUNCT
iajs-221	115	5	if	if	SCONJ
iajs-221	115	6	there	there	PRON
iajs-221	115	7	exist	exist	VERB
iajs-221	115	8	a	a	DET
iajs-221	115	9	tie	tie	NOUN
iajs-221	115	10	(	(	PUNCT
iajs-221	115	11	jobs	job	NOUN
iajs-221	115	12	with	with	ADP
iajs-221	115	13	equal	equal	ADJ
iajs-221	115	14	processing	processing	NOUN
iajs-221	115	15	times	time	NOUN
iajs-221	115	16	)	)	PUNCT
iajs-221	115	17	,	,	PUNCT
iajs-221	115	18	order	order	VERB
iajs-221	115	19	these	these	DET
iajs-221	115	20	jobs	job	NOUN
iajs-221	115	21	by	by	ADP
iajs-221	115	22	edd	edd	PROPN
iajs-221	115	23	rule	rule	NOUN
iajs-221	115	24	.	.	PUNCT
iajs-221	116	1	example	example	NOUN
iajs-221	116	2	(	(	PUNCT
iajs-221	116	3	1	1	NUM
iajs-221	116	4	):	):	PUNCT
iajs-221	116	5	consider	consider	VERB
iajs-221	116	6	the	the	DET
iajs-221	116	7	problem	problem	NOUN
iajs-221	116	8	(	(	PUNCT
iajs-221	116	9	tp1	tp1	NOUN
iajs-221	116	10	)	)	PUNCT
iajs-221	116	11	with	with	ADP
iajs-221	116	12	the	the	DET
iajs-221	116	13	following	follow	VERB
iajs-221	116	14	data	datum	NOUN
iajs-221	116	15	:	:	PUNCT
iajs-221	116	16	pi=(2,4,4,9	pi=(2,4,4,9	NOUN
iajs-221	116	17	)	)	PUNCT
iajs-221	116	18	,	,	PUNCT
iajs-221	116	19	di=(5,10,6,12	di=(5,10,6,12	PROPN
iajs-221	116	20	)	)	PUNCT
iajs-221	116	21	the	the	DET
iajs-221	116	22	spt	spt	PROPN
iajs-221	116	23	rule	rule	NOUN
iajs-221	116	24	gives	give	VERB
iajs-221	116	25	the	the	DET
iajs-221	116	26	feasible	feasible	ADJ
iajs-221	116	27	schedules	schedule	NOUN
iajs-221	116	28	(	(	PUNCT
iajs-221	116	29	1,2,3,4	1,2,3,4	NUM
iajs-221	116	30	)	)	PUNCT
iajs-221	116	31	and	and	CCONJ
iajs-221	116	32	(	(	PUNCT
iajs-221	116	33	1,3,2,4	1,3,2,4	NUM
iajs-221	116	34	)	)	PUNCT
iajs-221	116	35	.	.	PUNCT
iajs-221	117	1	the	the	DET
iajs-221	117	2	spt	spt	PROPN
iajs-221	117	3	*	*	NOUN
iajs-221	117	4	sequence	sequence	NOUN
iajs-221	117	5	(	(	PUNCT
iajs-221	117	6	1,3,2,4	1,3,2,4	NUM
iajs-221	117	7	)	)	PUNCT
iajs-221	117	8	with	with	ADP
iajs-221	117	9	(	(	PUNCT
iajs-221	117	10	∑ci,∑ti	∑ci,∑ti	NOUN
iajs-221	117	11	,	,	PUNCT
iajs-221	117	12	tmax)=(37,7,7	tmax)=(37,7,7	NOUN
iajs-221	117	13	)	)	PUNCT
iajs-221	117	14	.	.	PUNCT
iajs-221	118	1	according	accord	VERB
iajs-221	118	2	to	to	ADP
iajs-221	118	3	the	the	DET
iajs-221	118	4	algorithm	algorithm	NOUN
iajs-221	118	5	(	(	PUNCT
iajs-221	118	6	atp1	atp1	PROPN
iajs-221	118	7	)	)	PUNCT
iajs-221	118	8	above	above	ADP
iajs-221	118	9	for	for	ADP
iajs-221	118	10	the	the	DET
iajs-221	118	11	1//lex(∑ci	1//lex(∑ci	NUM
iajs-221	118	12	,	,	PUNCT
iajs-221	118	13	∑ti	∑ti	PUNCT
iajs-221	118	14	,	,	PUNCT
iajs-221	118	15	tmax	tmax	NUM
iajs-221	118	16	)	)	PUNCT
iajs-221	118	17	problem	problem	NOUN
iajs-221	118	18	,	,	PUNCT
iajs-221	118	19	the	the	DET
iajs-221	118	20	spt*(1,3,2,4	spt*(1,3,2,4	NOUN
iajs-221	118	21	)	)	PUNCT
iajs-221	118	22	gives	give	VERB
iajs-221	118	23	minimum	minimum	NOUN
iajs-221	118	24	(	(	PUNCT
iajs-221	118	25	∑ci	∑ci	X
iajs-221	118	26	,	,	PUNCT
iajs-221	118	27	∑ti	∑ti	NUM
iajs-221	118	28	,	,	PUNCT
iajs-221	118	29	tmax	tmax	PRON
iajs-221	118	30	)	)	PUNCT
iajs-221	118	31	.	.	PUNCT
iajs-221	119	1	note	note	VERB
iajs-221	119	2	that	that	SCONJ
iajs-221	119	3	the	the	DET
iajs-221	119	4	sequence	sequence	NOUN
iajs-221	119	5	(	(	PUNCT
iajs-221	119	6	1,3,2,4	1,3,2,4	NUM
iajs-221	119	7	)	)	PUNCT
iajs-221	119	8	is	be	AUX
iajs-221	119	9	spt	spt	ADJ
iajs-221	119	10	and	and	CCONJ
iajs-221	119	11	edd	edd	PROPN
iajs-221	119	12	.	.	PUNCT
iajs-221	120	1	it	it	PRON
iajs-221	120	2	is	be	AUX
iajs-221	120	3	well	well	ADV
iajs-221	120	4	known	know	VERB
iajs-221	120	5	that	that	SCONJ
iajs-221	120	6	spt	spt	PROPN
iajs-221	120	7	rule	rule	NOUN
iajs-221	120	8	minimizes	minimize	VERB
iajs-221	120	9	∑ci	∑ci	PROPN
iajs-221	120	10	,	,	PUNCT
iajs-221	120	11	edd	edd	PROPN
iajs-221	120	12	rule	rule	VERB
iajs-221	120	13	minimizes	minimize	VERB
iajs-221	120	14	tmax	tmax	ADV
iajs-221	121	1	and	and	CCONJ
iajs-221	121	2	if	if	SCONJ
iajs-221	121	3	spt	spt	PROPN
iajs-221	121	4	and	and	CCONJ
iajs-221	121	5	edd	edd	PROPN
iajs-221	121	6	are	be	AUX
iajs-221	121	7	identical	identical	ADJ
iajs-221	121	8	then	then	ADV
iajs-221	121	9	∑ti	∑ti	PUNCT
iajs-221	121	10	is	be	AUX
iajs-221	121	11	minimized	minimize	VERB
iajs-221	121	12	.	.	PUNCT
iajs-221	122	1	3.1.2	3.1.2	NUM
iajs-221	122	2	the	the	DET
iajs-221	122	3	1//lex(∑ci	1//lex(∑ci	NUM
iajs-221	122	4	,	,	PUNCT
iajs-221	122	5	tmax	tmax	ADV
iajs-221	122	6	,	,	PUNCT
iajs-221	122	7	∑ti	∑ti	NUM
iajs-221	122	8	)	)	PUNCT
iajs-221	122	9	problem	problem	NOUN
iajs-221	122	10	(	(	PUNCT
iajs-221	122	11	tp2	tp2	PROPN
iajs-221	122	12	)	)	PUNCT
iajs-221	122	13	this	this	DET
iajs-221	122	14	problem	problem	NOUN
iajs-221	122	15	can	can	AUX
iajs-221	122	16	be	be	AUX
iajs-221	122	17	defined	define	VERB
iajs-221	122	18	as	as	ADP
iajs-221	122	19	:	:	PUNCT
iajs-221	122	20	∑	∑	PUNCT
iajs-221	122	21	.	.	PUNCT
iajs-221	122	22	.	.	PUNCT
iajs-221	123	1	∗	∗	NOUN
iajs-221	123	2	,	,	PUNCT
iajs-221	123	3	∗	∗	NOUN
iajs-221	123	4	,	,	PUNCT
iajs-221	123	5	∈	∈	PROPN
iajs-221	123	6	,	,	PUNCT
iajs-221	123	7	.	.	PUNCT
iajs-221	123	8	.	.	PUNCT
iajs-221	123	9	.	.	PUNCT
iajs-221	124	1	since	since	SCONJ
iajs-221	124	2	in	in	ADP
iajs-221	124	3	this	this	DET
iajs-221	124	4	problem	problem	NOUN
iajs-221	124	5	(	(	PUNCT
iajs-221	124	6	tp2	tp2	PROPN
iajs-221	124	7	)	)	PUNCT
iajs-221	124	8	the	the	DET
iajs-221	124	9	∑	∑	PROPN
iajs-221	124	10	i	i	PRON
iajs-221	124	11	is	be	AUX
iajs-221	124	12	the	the	DET
iajs-221	124	13	more	more	ADV
iajs-221	124	14	important	important	ADJ
iajs-221	124	15	function	function	NOUN
iajs-221	124	16	and	and	CCONJ
iajs-221	124	17	should	should	AUX
iajs-221	124	18	be	be	AUX
iajs-221	124	19	optimal	optimal	ADJ
iajs-221	124	20	,	,	PUNCT
iajs-221	124	21	then	then	ADV
iajs-221	124	22	the	the	DET
iajs-221	124	23	above	above	ADJ
iajs-221	124	24	algorithm	algorithm	NOUN
iajs-221	124	25	(	(	PUNCT
iajs-221	124	26	atp1	atp1	PROPN
iajs-221	124	27	)	)	PUNCT
iajs-221	124	28	also	also	ADV
iajs-221	124	29	gives	give	VERB
iajs-221	124	30	the	the	DET
iajs-221	124	31	required	require	VERB
iajs-221	124	32	result	result	NOUN
iajs-221	124	33	for	for	ADP
iajs-221	124	34	this	this	DET
iajs-221	124	35	problem	problem	NOUN
iajs-221	124	36	(	(	PUNCT
iajs-221	124	37	tp2	tp2	PROPN
iajs-221	124	38	)	)	PUNCT
iajs-221	124	39	.	.	PUNCT
iajs-221	125	1	3.1.3	3.1.3	NUM
iajs-221	125	2	the	the	DET
iajs-221	125	3	1//lex(tmax	1//lex(tmax	NUM
iajs-221	125	4	,	,	PUNCT
iajs-221	125	5	∑ci	∑ci	X
iajs-221	125	6	,	,	PUNCT
iajs-221	125	7	∑ti	∑ti	NUM
iajs-221	125	8	)	)	PUNCT
iajs-221	125	9	problem	problem	NOUN
iajs-221	125	10	(	(	PUNCT
iajs-221	125	11	tp3	tp3	NOUN
iajs-221	125	12	)	)	PUNCT
iajs-221	125	13	this	this	DET
iajs-221	125	14	problem	problem	NOUN
iajs-221	125	15	can	can	AUX
iajs-221	125	16	be	be	AUX
iajs-221	125	17	defined	define	VERB
iajs-221	125	18	as	as	ADP
iajs-221	125	19	:	:	PUNCT
iajs-221	125	20	.	.	PUNCT
iajs-221	125	21	.	.	PUNCT
iajs-221	126	1	∗	∗	NOUN
iajs-221	126	2	,	,	PUNCT
iajs-221	126	3	∗	∗	NOUN
iajs-221	126	4	,	,	PUNCT
iajs-221	126	5	∈	∈	PROPN
iajs-221	126	6	,	,	PUNCT
iajs-221	126	7	.	.	PUNCT
iajs-221	126	8	.	.	PUNCT
iajs-221	126	9	.	.	PUNCT
iajs-221	127	1	since	since	SCONJ
iajs-221	127	2	in	in	ADP
iajs-221	127	3	this	this	DET
iajs-221	127	4	problem	problem	NOUN
iajs-221	127	5	(	(	PUNCT
iajs-221	127	6	tp3	tp3	NOUN
iajs-221	127	7	)	)	PUNCT
iajs-221	127	8	the	the	DET
iajs-221	127	9	tmax	tmax	NOUN
iajs-221	127	10	is	be	AUX
iajs-221	127	11	the	the	DET
iajs-221	127	12	more	more	ADV
iajs-221	127	13	important	important	ADJ
iajs-221	127	14	function	function	NOUN
iajs-221	127	15	and	and	CCONJ
iajs-221	127	16	should	should	AUX
iajs-221	127	17	be	be	AUX
iajs-221	127	18	optimal	optimal	ADJ
iajs-221	127	19	,	,	PUNCT
iajs-221	127	20	then	then	ADV
iajs-221	127	21	the	the	DET
iajs-221	127	22	following	follow	VERB
iajs-221	127	23	algorithm	algorithm	NOUN
iajs-221	127	24	(	(	PUNCT
iajs-221	127	25	atp3	atp3	PROPN
iajs-221	127	26	)	)	PUNCT
iajs-221	127	27	gives	give	VERB
iajs-221	127	28	the	the	DET
iajs-221	127	29	best	good	ADJ
iajs-221	127	30	possible	possible	ADJ
iajs-221	127	31	solution	solution	NOUN
iajs-221	127	32	.	.	PUNCT
iajs-221	128	1	algorithm	algorithm	NOUN
iajs-221	128	2	(	(	PUNCT
iajs-221	128	3	atp3	atp3	PROPN
iajs-221	128	4	)	)	PUNCT
iajs-221	128	5	for	for	ADP
iajs-221	128	6	1//lex(tmax	1//lex(tmax	NUM
iajs-221	128	7	,	,	PUNCT
iajs-221	128	8	∑ci	∑ci	X
iajs-221	128	9	,	,	PUNCT
iajs-221	128	10	∑ti	∑ti	NUM
iajs-221	128	11	)	)	PUNCT
iajs-221	128	12	problem	problem	NOUN
iajs-221	128	13	(	(	PUNCT
iajs-221	128	14	tp3	tp3	NOUN
iajs-221	128	15	):	):	PUNCT
iajs-221	128	16	step	step	NOUN
iajs-221	128	17	(	(	PUNCT
iajs-221	128	18	0	0	NUM
iajs-221	128	19	):	):	PUNCT
iajs-221	128	20	solve	solve	NOUN
iajs-221	128	21	1//tmax	1//tmax	NUM
iajs-221	128	22	problem	problem	NOUN
iajs-221	128	23	to	to	PART
iajs-221	128	24	find	find	VERB
iajs-221	128	25	t*=tmax(edd	t*=tmax(edd	NOUN
iajs-221	128	26	)	)	PUNCT
iajs-221	128	27	.	.	PUNCT
iajs-221	129	1	step	step	NOUN
iajs-221	129	2	(	(	PUNCT
iajs-221	129	3	1	1	NUM
iajs-221	129	4	):	):	PUNCT
iajs-221	129	5	determined	determined	ADJ
iajs-221	129	6	di	di	X
iajs-221	129	7	=	=	NOUN
iajs-221	129	8	di+t	di+t	NOUN
iajs-221	129	9	*	*	NOUN
iajs-221	129	10	,	,	PUNCT
iajs-221	129	11	∀i∈n	∀i∈n	PROPN
iajs-221	129	12	,	,	PUNCT
iajs-221	129	13	n={1,	n={1,	NOUN
iajs-221	129	14	…	…	SYM
iajs-221	129	15	,n	,n	NOUN
iajs-221	129	16	}	}	PUNCT
iajs-221	129	17	step	step	NOUN
iajs-221	129	18	(	(	PUNCT
iajs-221	129	19	2	2	NUM
iajs-221	129	20	):	):	PUNCT
iajs-221	129	21	let	let	VERB
iajs-221	129	22	t=∑	t=∑	NOUN
iajs-221	129	23	∈	∈	PROPN
iajs-221	129	24	,	,	PUNCT
iajs-221	129	25	k	k	X
iajs-221	129	26	=	=	ADJ
iajs-221	129	27	n.	n.	ADJ
iajs-221	129	28	step	step	NOUN
iajs-221	129	29	(	(	PUNCT
iajs-221	129	30	3	3	NUM
iajs-221	129	31	):	):	PUNCT
iajs-221	129	32	using	use	VERB
iajs-221	129	33	smith	smith	PROPN
iajs-221	129	34	backward	backward	ADJ
iajs-221	129	35	algorithm	algorithm	NOUN
iajs-221	129	36	to	to	PART
iajs-221	129	37	find	find	VERB
iajs-221	129	38	a	a	DET
iajs-221	129	39	job	job	NOUN
iajs-221	129	40	j∈n	j∈n	NOUN
iajs-221	129	41	satisfy	satisfy	NOUN
iajs-221	129	42	dj	dj	PROPN
iajs-221	129	43	≥	≥	PROPN
iajs-221	129	44	t	t	PROPN
iajs-221	129	45	,	,	PUNCT
iajs-221	129	46	pj≥pi	pj≥pi	PROPN
iajs-221	129	47	(	(	PUNCT
iajs-221	129	48	if	if	SCONJ
iajs-221	129	49	there	there	PRON
iajs-221	129	50	exists	exist	VERB
iajs-221	129	51	a	a	DET
iajs-221	129	52	tie	tie	NOUN
iajs-221	129	53	choose	choose	VERB
iajs-221	129	54	the	the	DET
iajs-221	129	55	job	job	NOUN
iajs-221	129	56	j	j	NOUN
iajs-221	129	57	with	with	ADP
iajs-221	129	58	largest	large	ADJ
iajs-221	129	59	due	due	ADJ
iajs-221	129	60	date	date	NOUN
iajs-221	129	61	)	)	PUNCT
iajs-221	129	62	.	.	PUNCT
iajs-221	130	1	assign	assign	VERB
iajs-221	130	2	job	job	PROPN
iajs-221	130	3	j	j	PROPN
iajs-221	130	4	in	in	ADP
iajs-221	130	5	position	position	NOUN
iajs-221	130	6	k.	k.	PROPN
iajs-221	130	7	step	step	NOUN
iajs-221	130	8	(	(	PUNCT
iajs-221	130	9	4	4	NUM
iajs-221	130	10	):	):	PUNCT
iajs-221	130	11	set	set	VERB
iajs-221	130	12	t	t	PROPN
iajs-221	130	13	=	=	PROPN
iajs-221	130	14	t	t	PROPN
iajs-221	130	15	-	-	PUNCT
iajs-221	130	16	pj	pj	PROPN
iajs-221	130	17	,	,	PUNCT
iajs-221	130	18	n	n	CCONJ
iajs-221	130	19	=	=	PROPN
iajs-221	130	20	n-{j	n-{j	PROPN
iajs-221	130	21	}	}	PUNCT
iajs-221	130	22	,	,	PUNCT
iajs-221	130	23	k	k	PROPN
iajs-221	130	24	=	=	NOUN
iajs-221	130	25	k-1	k-1	NOUN
iajs-221	130	26	,	,	PUNCT
iajs-221	130	27	if	if	SCONJ
iajs-221	130	28	k=1	k=1	PROPN
iajs-221	130	29	go	go	VERB
iajs-221	130	30	to	to	PART
iajs-221	130	31	step	step	NOUN
iajs-221	130	32	(	(	PUNCT
iajs-221	130	33	5	5	NUM
iajs-221	130	34	)	)	PUNCT
iajs-221	130	35	,	,	PUNCT
iajs-221	130	36	otherwise	otherwise	ADV
iajs-221	130	37	go	go	VERB
iajs-221	130	38	to	to	PART
iajs-221	130	39	step	step	VERB
iajs-221	130	40	(	(	PUNCT
iajs-221	130	41	3	3	NUM
iajs-221	130	42	)	)	PUNCT
iajs-221	130	43	.	.	PUNCT
iajs-221	131	1	step	step	NOUN
iajs-221	131	2	(	(	PUNCT
iajs-221	131	3	5	5	NUM
iajs-221	131	4	):	):	PUNCT
iajs-221	131	5	for	for	ADP
iajs-221	131	6	the	the	DET
iajs-221	131	7	resulting	result	VERB
iajs-221	131	8	sequence	sequence	NOUN
iajs-221	131	9	find	find	NOUN
iajs-221	131	10	(	(	PUNCT
iajs-221	131	11	∑ci	∑ci	X
iajs-221	131	12	,	,	PUNCT
iajs-221	131	13	∑ti	∑ti	NUM
iajs-221	131	14	,	,	PUNCT
iajs-221	131	15	tmax	tmax	NUM
iajs-221	131	16	)	)	PUNCT
iajs-221	131	17	.	.	PUNCT
iajs-221	132	1	160	160	NUM
iajs-221	132	2	|	|	NOUN
iajs-221	132	3	mathematics	mathematic	NOUN
iajs-221	132	4	٢٠١٥	٢٠١٥	NUM
iajs-221	132	5	)	)	PUNCT
iajs-221	132	6	عام	عام	ADP
iajs-221	132	7	٢العدد	٢العدد	PROPN
iajs-221	132	8	(	(	PUNCT
iajs-221	132	9	٢٨مجلة	٢٨مجلة	X
iajs-221	132	10	ابن	ابن	PROPN
iajs-221	132	11	الھيثم	الھيثم	PROPN
iajs-221	132	12	للعلوم	للعلوم	PROPN
iajs-221	132	13	الصرفة	الصرفة	PROPN
iajs-221	132	14	والتطبيقية	والتطبيقية	PRON
iajs-221	132	15	المجلد	المجلد	VERB
iajs-221	132	16	ibn	ibn	PROPN
iajs-221	132	17	al	al	PROPN
iajs-221	132	18	-	-	PUNCT
iajs-221	132	19	haitham	haitham	PROPN
iajs-221	132	20	.	.	PUNCT
iajs-221	133	1	j.	j.	PROPN
iajs-221	133	2	for	for	ADP
iajs-221	133	3	pure	pure	PROPN
iajs-221	133	4	&	&	CCONJ
iajs-221	133	5	appl	appl	PROPN
iajs-221	133	6	.	.	PUNCT
iajs-221	134	1	sci	sci	PROPN
iajs-221	134	2	.	.	PUNCT
iajs-221	134	3	vol	vol	NOUN
iajs-221	134	4	.	.	PROPN
iajs-221	135	1	28	28	NUM
iajs-221	135	2	(	(	PUNCT
iajs-221	135	3	2	2	NUM
iajs-221	135	4	)	)	PUNCT
iajs-221	135	5	2015	2015	NUM
iajs-221	135	6	example	example	NOUN
iajs-221	135	7	(	(	PUNCT
iajs-221	135	8	٢	٢	NUM
iajs-221	135	9	):	):	PUNCT
iajs-221	135	10	consider	consider	VERB
iajs-221	135	11	the	the	DET
iajs-221	135	12	problem	problem	NOUN
iajs-221	135	13	(	(	PUNCT
iajs-221	135	14	tp3	tp3	NOUN
iajs-221	135	15	)	)	PUNCT
iajs-221	135	16	with	with	ADP
iajs-221	135	17	the	the	DET
iajs-221	135	18	following	follow	VERB
iajs-221	135	19	data	data	PROPN
iajs-221	135	20	:	:	PUNCT
iajs-221	135	21	pi=(1,5,4,3	pi=(1,5,4,3	NOUN
iajs-221	135	22	)	)	PUNCT
iajs-221	135	23	,	,	PUNCT
iajs-221	135	24	di=(10,6,6,5	di=(10,6,6,5	PROPN
iajs-221	135	25	)	)	PUNCT
iajs-221	135	26	,	,	PUNCT
iajs-221	135	27	tmax(edd)=t*=6	tmax(edd)=t*=6	VERB
iajs-221	135	28	,	,	PUNCT
iajs-221	135	29	t=13	t=13	NOUN
iajs-221	135	30	,	,	PUNCT
iajs-221	135	31	di	di	NOUN
iajs-221	135	32	=	=	NOUN
iajs-221	135	33	di+t*=(16,12,12,11	di+t*=(16,12,12,11	NOUN
iajs-221	135	34	)	)	PUNCT
iajs-221	135	35	hence	hence	ADV
iajs-221	135	36	smith	smith	PROPN
iajs-221	135	37	backward	backward	ADJ
iajs-221	135	38	algorithm	algorithm	PROPN
iajs-221	135	39	gives	give	VERB
iajs-221	135	40	the	the	DET
iajs-221	135	41	schedule	schedule	NOUN
iajs-221	135	42	(	(	PUNCT
iajs-221	135	43	4,3,2,1	4,3,2,1	NUM
iajs-221	135	44	)	)	PUNCT
iajs-221	135	45	with	with	ADP
iajs-221	135	46	(	(	PUNCT
iajs-221	135	47	∑ci	∑ci	X
iajs-221	135	48	,	,	PUNCT
iajs-221	135	49	∑ti	∑ti	NUM
iajs-221	135	50	,	,	PUNCT
iajs-221	135	51	tmax)=(35,10,6	tmax)=(35,10,6	NUM
iajs-221	135	52	)	)	PUNCT
iajs-221	135	53	.	.	PUNCT
iajs-221	136	1	3.1.4	3.1.4	NUM
iajs-221	136	2	the	the	DET
iajs-221	136	3	1//lex(tmax	1//lex(tmax	NUM
iajs-221	136	4	,	,	PUNCT
iajs-221	136	5	∑ti	∑ti	NUM
iajs-221	136	6	,	,	PUNCT
iajs-221	136	7	∑ci	∑ci	NUM
iajs-221	136	8	)	)	PUNCT
iajs-221	136	9	problem	problem	NOUN
iajs-221	136	10	(	(	PUNCT
iajs-221	136	11	tp4	tp4	NOUN
iajs-221	136	12	):	):	PUNCT
iajs-221	136	13	this	this	DET
iajs-221	136	14	problem	problem	NOUN
iajs-221	136	15	can	can	AUX
iajs-221	136	16	be	be	AUX
iajs-221	136	17	defined	define	VERB
iajs-221	136	18	as	as	ADP
iajs-221	136	19	:	:	PUNCT
iajs-221	136	20	∑	∑	PUNCT
iajs-221	136	21	.	.	PUNCT
iajs-221	136	22	.	.	PUNCT
iajs-221	137	1	∗	∗	NOUN
iajs-221	137	2	,	,	PUNCT
iajs-221	137	3	∗	∗	NOUN
iajs-221	137	4	∑	∑	PROPN
iajs-221	137	5	,	,	PUNCT
iajs-221	137	6	∈	∈	PROPN
iajs-221	137	7	∑	∑	PUNCT
iajs-221	137	8	,	,	PUNCT
iajs-221	137	9	∑	∑	PROPN
iajs-221	137	10	.	.	PUNCT
iajs-221	137	11	.	.	PUNCT
iajs-221	137	12	.	.	PUNCT
iajs-221	138	1	since	since	SCONJ
iajs-221	138	2	in	in	ADP
iajs-221	138	3	this	this	DET
iajs-221	138	4	problem	problem	NOUN
iajs-221	138	5	(	(	PUNCT
iajs-221	138	6	tp4	tp4	NOUN
iajs-221	138	7	)	)	PUNCT
iajs-221	138	8	the	the	DET
iajs-221	138	9	tmax	tmax	NOUN
iajs-221	138	10	is	be	AUX
iajs-221	138	11	the	the	DET
iajs-221	138	12	more	more	ADV
iajs-221	138	13	important	important	ADJ
iajs-221	138	14	function	function	NOUN
iajs-221	138	15	and	and	CCONJ
iajs-221	138	16	should	should	AUX
iajs-221	138	17	be	be	AUX
iajs-221	138	18	optimal	optimal	ADJ
iajs-221	138	19	,	,	PUNCT
iajs-221	138	20	then	then	ADV
iajs-221	138	21	the	the	DET
iajs-221	138	22	above	above	ADJ
iajs-221	138	23	algorithm	algorithm	NOUN
iajs-221	138	24	(	(	PUNCT
iajs-221	138	25	atp3	atp3	PROPN
iajs-221	138	26	)	)	PUNCT
iajs-221	138	27	also	also	ADV
iajs-221	138	28	gives	give	VERB
iajs-221	138	29	the	the	DET
iajs-221	138	30	required	require	VERB
iajs-221	138	31	result	result	NOUN
iajs-221	138	32	for	for	ADP
iajs-221	138	33	this	this	DET
iajs-221	138	34	problem	problem	NOUN
iajs-221	138	35	(	(	PUNCT
iajs-221	138	36	tp4	tp4	NOUN
iajs-221	138	37	)	)	PUNCT
iajs-221	138	38	.	.	PUNCT
iajs-221	139	1	3.1.5	3.1.5	NUM
iajs-221	139	2	the	the	DET
iajs-221	139	3	1//lex(∑ti	1//lex(∑ti	NUM
iajs-221	139	4	,	,	PUNCT
iajs-221	139	5	∑ci	∑ci	X
iajs-221	139	6	,	,	PUNCT
iajs-221	139	7	tmax	tmax	NUM
iajs-221	139	8	)	)	PUNCT
iajs-221	139	9	problem	problem	NOUN
iajs-221	139	10	(	(	PUNCT
iajs-221	139	11	tp5	tp5	NOUN
iajs-221	139	12	)	)	PUNCT
iajs-221	139	13	and	and	CCONJ
iajs-221	139	14	also	also	ADV
iajs-221	139	15	the	the	DET
iajs-221	139	16	1//lex(∑ti	1//lex(∑ti	NUM
iajs-221	139	17	,	,	PUNCT
iajs-221	139	18	tmax	tmax	ADV
iajs-221	139	19	,	,	PUNCT
iajs-221	139	20	∑ci	∑ci	NUM
iajs-221	139	21	)	)	PUNCT
iajs-221	139	22	problem	problem	NOUN
iajs-221	139	23	(	(	PUNCT
iajs-221	139	24	tp6	tp6	INTJ
iajs-221	139	25	):	):	PUNCT
iajs-221	139	26	the	the	DET
iajs-221	139	27	two	two	NUM
iajs-221	139	28	problems	problem	NOUN
iajs-221	139	29	(	(	PUNCT
iajs-221	139	30	tp5	tp5	NOUN
iajs-221	139	31	)	)	PUNCT
iajs-221	139	32	and	and	CCONJ
iajs-221	139	33	(	(	PUNCT
iajs-221	139	34	tp6	tp6	X
iajs-221	139	35	)	)	PUNCT
iajs-221	139	36	are	be	AUX
iajs-221	139	37	np_hard	np_hard	ADP
iajs-221	139	38	problems	problem	NOUN
iajs-221	139	39	,	,	PUNCT
iajs-221	139	40	since	since	SCONJ
iajs-221	139	41	the	the	DET
iajs-221	139	42	1//(∑ti	1//(∑ti	NUM
iajs-221	139	43	)	)	PUNCT
iajs-221	139	44	problem	problem	NOUN
iajs-221	139	45	is	be	AUX
iajs-221	139	46	nphard	nphard	ADJ
iajs-221	139	47	[	[	X
iajs-221	139	48	6	6	NUM
iajs-221	139	49	]	]	PUNCT
iajs-221	139	50	.	.	PUNCT
iajs-221	140	1	4	4	X
iajs-221	140	2	.	.	X
iajs-221	140	3	the	the	DET
iajs-221	140	4	1//(∑ci	1//(∑ci	NUM
iajs-221	140	5	+	+	NOUN
iajs-221	140	6	∑ti	∑ti	X
iajs-221	140	7	+	+	ADJ
iajs-221	140	8	tmax	tmax	ADJ
iajs-221	140	9	)	)	PUNCT
iajs-221	140	10	problem	problem	NOUN
iajs-221	140	11	(	(	PUNCT
iajs-221	140	12	tp7	tp7	NOUN
iajs-221	140	13	):	):	PUNCT
iajs-221	140	14	this	this	DET
iajs-221	140	15	problem	problem	NOUN
iajs-221	140	16	can	can	AUX
iajs-221	140	17	be	be	AUX
iajs-221	140	18	defined	define	VERB
iajs-221	140	19	as	as	ADP
iajs-221	140	20	:	:	PUNCT
iajs-221	140	21	.	.	PUNCT
iajs-221	141	1	.	.	PUNCT
iajs-221	142	1	1	1	NUM
iajs-221	142	2	,	,	PUNCT
iajs-221	142	3	.	.	PUNCT
iajs-221	142	4	.	.	PUNCT
iajs-221	143	1	.	.	PUNCT
iajs-221	144	1	,	,	PUNCT
iajs-221	144	2	2	2	NUM
iajs-221	144	3	,	,	PUNCT
iajs-221	144	4	.	.	PUNCT
iajs-221	144	5	.	.	PUNCT
iajs-221	144	6	.	.	PUNCT
iajs-221	145	1	,	,	PUNCT
iajs-221	145	2	1	1	NUM
iajs-221	145	3	,	,	PUNCT
iajs-221	145	4	.	.	PUNCT
iajs-221	145	5	.	.	PUNCT
iajs-221	145	6	.	.	PUNCT
iajs-221	146	1	,	,	PUNCT
iajs-221	146	2	0	0	NUM
iajs-221	146	3	1	1	NUM
iajs-221	146	4	,	,	PUNCT
iajs-221	146	5	.	.	PUNCT
iajs-221	146	6	.	.	PUNCT
iajs-221	146	7	.	.	PUNCT
iajs-221	147	1	,	,	PUNCT
iajs-221	147	2	.	.	PUNCT
iajs-221	147	3	.	.	PUNCT
iajs-221	148	1	.	.	PUNCT
iajs-221	149	1	the	the	DET
iajs-221	149	2	aim	aim	NOUN
iajs-221	149	3	of	of	ADP
iajs-221	149	4	problem	problem	NOUN
iajs-221	149	5	(	(	PUNCT
iajs-221	149	6	tp7	tp7	NOUN
iajs-221	149	7	)	)	PUNCT
iajs-221	149	8	is	be	AUX
iajs-221	149	9	to	to	PART
iajs-221	149	10	find	find	VERB
iajs-221	149	11	a	a	DET
iajs-221	149	12	processing	processing	NOUN
iajs-221	149	13	order	order	NOUN
iajs-221	149	14	σ=(σ(1),	σ=(σ(1),	ADJ
iajs-221	149	15	…	…	X
iajs-221	149	16	,(σ(n	,(σ(n	NUM
iajs-221	149	17	)	)	PUNCT
iajs-221	149	18	)	)	PUNCT
iajs-221	149	19	of	of	ADP
iajs-221	149	20	the	the	DET
iajs-221	149	21	jobs	job	NOUN
iajs-221	149	22	on	on	ADP
iajs-221	149	23	a	a	DET
iajs-221	149	24	single	single	ADJ
iajs-221	149	25	machine	machine	NOUN
iajs-221	149	26	to	to	PART
iajs-221	149	27	minimize	minimize	VERB
iajs-221	149	28	the	the	DET
iajs-221	149	29	sum	sum	NOUN
iajs-221	149	30	of	of	ADP
iajs-221	149	31	the	the	DET
iajs-221	149	32	total	total	ADJ
iajs-221	149	33	completion	completion	NOUN
iajs-221	149	34	times	time	NOUN
iajs-221	149	35	,	,	PUNCT
iajs-221	149	36	the	the	DET
iajs-221	149	37	total	total	ADJ
iajs-221	149	38	tardiness	tardiness	NOUN
iajs-221	149	39	and	and	CCONJ
iajs-221	149	40	the	the	DET
iajs-221	149	41	maximum	maximum	ADJ
iajs-221	149	42	tardiness	tardiness	NOUN
iajs-221	149	43	(	(	PUNCT
iajs-221	149	44	∑	∑	PART
iajs-221	149	45	∑	∑	VERB
iajs-221	149	46	σ∈s	σ∈s	VERB
iajs-221	149	47	(	(	PUNCT
iajs-221	149	48	where	where	SCONJ
iajs-221	149	49	s	s	NOUN
iajs-221	149	50	is	be	AUX
iajs-221	149	51	the	the	DET
iajs-221	149	52	set	set	NOUN
iajs-221	149	53	of	of	ADP
iajs-221	149	54	all	all	DET
iajs-221	149	55	feasible	feasible	ADJ
iajs-221	149	56	solutions	solution	NOUN
iajs-221	149	57	)	)	PUNCT
iajs-221	149	58	,	,	PUNCT
iajs-221	149	59	which	which	PRON
iajs-221	149	60	is	be	AUX
iajs-221	149	61	a	a	DET
iajs-221	149	62	single	single	ADJ
iajs-221	149	63	object	object	NOUN
iajs-221	149	64	and	and	CCONJ
iajs-221	149	65	can	can	AUX
iajs-221	149	66	be	be	AUX
iajs-221	149	67	minimized	minimize	VERB
iajs-221	149	68	by	by	ADP
iajs-221	149	69	bab	bab	PROPN
iajs-221	149	70	method	method	NOUN
iajs-221	149	71	.	.	PUNCT
iajs-221	150	1	4.1	4.1	NUM
iajs-221	150	2	special	special	ADJ
iajs-221	150	3	cases	case	NOUN
iajs-221	150	4	for	for	ADP
iajs-221	150	5	the	the	DET
iajs-221	150	6	problem	problem	NOUN
iajs-221	150	7	(	(	PUNCT
iajs-221	150	8	tp7	tp7	NOUN
iajs-221	150	9	):	):	PUNCT
iajs-221	150	10	case	case	NOUN
iajs-221	150	11	1	1	NUM
iajs-221	150	12	:	:	PUNCT
iajs-221	150	13	if	if	SCONJ
iajs-221	150	14	the	the	DET
iajs-221	150	15	spt	spt	PROPN
iajs-221	150	16	schedule	schedule	NOUN
iajs-221	150	17	gives	give	VERB
iajs-221	150	18	∀	∀	ADJ
iajs-221	150	19	∈	∈	NOUN
iajs-221	150	20	then	then	ADV
iajs-221	150	21	this	this	DET
iajs-221	150	22	spt	spt	PROPN
iajs-221	150	23	schedule	schedule	NOUN
iajs-221	150	24	gives	give	VERB
iajs-221	150	25	an	an	DET
iajs-221	150	26	optimal	optimal	ADJ
iajs-221	150	27	value	value	NOUN
iajs-221	150	28	for	for	ADP
iajs-221	150	29	(	(	PUNCT
iajs-221	150	30	tp7	tp7	NOUN
iajs-221	150	31	)	)	PUNCT
iajs-221	150	32	.	.	PUNCT
iajs-221	151	1	proof	proof	NOUN
iajs-221	151	2	:	:	PUNCT
iajs-221	151	3	it	it	PRON
iajs-221	151	4	is	be	AUX
iajs-221	151	5	clear	clear	ADJ
iajs-221	151	6	.	.	PUNCT
iajs-221	152	1	■	■	PUNCT
iajs-221	152	2	case	case	NOUN
iajs-221	152	3	2	2	NUM
iajs-221	152	4	:	:	PUNCT
iajs-221	152	5	if	if	SCONJ
iajs-221	152	6	spt	spt	PROPN
iajs-221	152	7	rule	rule	NOUN
iajs-221	152	8	and	and	CCONJ
iajs-221	152	9	edd	edd	PROPN
iajs-221	152	10	rule	rule	NOUN
iajs-221	152	11	are	be	AUX
iajs-221	152	12	identical	identical	ADJ
iajs-221	152	13	,	,	PUNCT
iajs-221	152	14	then	then	ADV
iajs-221	152	15	there	there	PRON
iajs-221	152	16	exists	exist	VERB
iajs-221	152	17	an	an	DET
iajs-221	152	18	optimal	optimal	ADJ
iajs-221	152	19	solution	solution	NOUN
iajs-221	152	20	for	for	ADP
iajs-221	152	21	the	the	DET
iajs-221	152	22	problem	problem	NOUN
iajs-221	152	23	(	(	PUNCT
iajs-221	152	24	tp7	tp7	NOUN
iajs-221	152	25	)	)	PUNCT
iajs-221	152	26	.	.	PUNCT
iajs-221	153	1	proof	proof	NOUN
iajs-221	153	2	:	:	PUNCT
iajs-221	153	3	it	it	PRON
iajs-221	153	4	is	be	AUX
iajs-221	153	5	clear	clear	ADJ
iajs-221	153	6	.	.	PUNCT
iajs-221	154	1	■	■	PUNCT
iajs-221	154	2	4.2	4.2	NUM
iajs-221	154	3	decomposition	decomposition	NOUN
iajs-221	154	4	of	of	ADP
iajs-221	154	5	problem	problem	NOUN
iajs-221	154	6	(	(	PUNCT
iajs-221	154	7	tp7	tp7	NOUN
iajs-221	154	8	):	):	PUNCT
iajs-221	154	9	let	let	VERB
iajs-221	154	10	m=	m=	X
iajs-221	154	11	∑	∑	ADP
iajs-221	154	12	∑	∑	PUNCT
iajs-221	154	13	this	this	DET
iajs-221	154	14	problem	problem	NOUN
iajs-221	154	15	can	can	AUX
iajs-221	154	16	be	be	AUX
iajs-221	154	17	decomposed	decompose	VERB
iajs-221	154	18	into	into	ADP
iajs-221	154	19	three	three	NUM
iajs-221	154	20	subproblems	subproblem	NOUN
iajs-221	154	21	(	(	PUNCT
iajs-221	154	22	sp1	sp1	NOUN
iajs-221	154	23	)	)	PUNCT
iajs-221	154	24	,	,	PUNCT
iajs-221	154	25	(	(	PUNCT
iajs-221	154	26	sp2	sp2	NOUN
iajs-221	154	27	)	)	PUNCT
iajs-221	154	28	and	and	CCONJ
iajs-221	154	29	(	(	PUNCT
iajs-221	154	30	sp3	sp3	NOUN
iajs-221	154	31	)	)	PUNCT
iajs-221	154	32	161	161	NUM
iajs-221	155	1	|	|	NOUN
iajs-221	155	2	mathematics	mathematic	NOUN
iajs-221	155	3	٢٠١٥	٢٠١٥	NUM
iajs-221	155	4	)	)	PUNCT
iajs-221	155	5	عام	عام	ADP
iajs-221	155	6	٢العدد	٢العدد	PROPN
iajs-221	155	7	(	(	PUNCT
iajs-221	155	8	٢٨مجلة	٢٨مجلة	X
iajs-221	155	9	ابن	ابن	PROPN
iajs-221	155	10	الھيثم	الھيثم	PROPN
iajs-221	155	11	للعلوم	للعلوم	PROPN
iajs-221	155	12	الصرفة	الصرفة	PROPN
iajs-221	155	13	والتطبيقية	والتطبيقية	PRON
iajs-221	155	14	المجلد	المجلد	VERB
iajs-221	155	15	ibn	ibn	PROPN
iajs-221	155	16	al	al	PROPN
iajs-221	155	17	-	-	PUNCT
iajs-221	155	18	haitham	haitham	PROPN
iajs-221	155	19	.	.	PUNCT
iajs-221	156	1	j.	j.	PROPN
iajs-221	156	2	for	for	ADP
iajs-221	156	3	pure	pure	PROPN
iajs-221	156	4	&	&	CCONJ
iajs-221	156	5	appl	appl	PROPN
iajs-221	156	6	.	.	PUNCT
iajs-221	157	1	sci	sci	PROPN
iajs-221	157	2	.	.	PUNCT
iajs-221	157	3	vol	vol	NOUN
iajs-221	157	4	.	.	PROPN
iajs-221	158	1	28	28	NUM
iajs-221	158	2	(	(	PUNCT
iajs-221	158	3	2	2	NUM
iajs-221	158	4	)	)	PUNCT
iajs-221	158	5	2015	2015	NUM
iajs-221	158	6	.	.	PUNCT
iajs-221	159	1	1	1	NUM
iajs-221	159	2	,	,	PUNCT
iajs-221	159	3	.	.	PUNCT
iajs-221	159	4	.	.	PUNCT
iajs-221	159	5	.	.	PUNCT
iajs-221	160	1	,	,	PUNCT
iajs-221	160	2	2	2	NUM
iajs-221	160	3	,	,	PUNCT
iajs-221	160	4	.	.	PUNCT
iajs-221	160	5	.	.	PUNCT
iajs-221	160	6	.	.	PUNCT
iajs-221	161	1	,	,	PUNCT
iajs-221	161	2	.	.	PUNCT
iajs-221	161	3	.	.	PUNCT
iajs-221	162	1	.	.	PUNCT
iajs-221	163	1	1	1	NUM
iajs-221	163	2	.	.	X
iajs-221	163	3	1	1	NUM
iajs-221	163	4	,	,	PUNCT
iajs-221	163	5	.	.	PUNCT
iajs-221	163	6	.	.	PUNCT
iajs-221	164	1	.	.	PUNCT
iajs-221	165	1	,	,	PUNCT
iajs-221	165	2	0	0	NUM
iajs-221	165	3	1	1	NUM
iajs-221	165	4	,	,	PUNCT
iajs-221	165	5	.	.	PUNCT
iajs-221	165	6	.	.	PUNCT
iajs-221	165	7	.	.	PUNCT
iajs-221	166	1	,	,	PUNCT
iajs-221	166	2	.	.	PUNCT
iajs-221	166	3	.	.	PUNCT
iajs-221	167	1	.	.	PUNCT
iajs-221	168	1	2	2	NUM
iajs-221	168	2	min	min	NOUN
iajs-221	168	3	.	.	PUNCT
iajs-221	169	1	1	1	NUM
iajs-221	169	2	,	,	PUNCT
iajs-221	169	3	.	.	PUNCT
iajs-221	169	4	.	.	PUNCT
iajs-221	170	1	.	.	PUNCT
iajs-221	171	1	,	,	PUNCT
iajs-221	171	2	0	0	NUM
iajs-221	171	3	1	1	NUM
iajs-221	171	4	,	,	PUNCT
iajs-221	171	5	.	.	PUNCT
iajs-221	171	6	.	.	PUNCT
iajs-221	171	7	.	.	PUNCT
iajs-221	172	1	,	,	PUNCT
iajs-221	172	2	.	.	PUNCT
iajs-221	172	3	.	.	PUNCT
iajs-221	173	1	.	.	PUNCT
iajs-221	174	1	3	3	NUM
iajs-221	174	2	this	this	DET
iajs-221	174	3	decomposition	decomposition	NOUN
iajs-221	174	4	has	have	VERB
iajs-221	174	5	the	the	DET
iajs-221	174	6	following	follow	VERB
iajs-221	174	7	properties	property	NOUN
iajs-221	174	8	:	:	PUNCT
iajs-221	174	9	first	first	ADV
iajs-221	174	10	(	(	PUNCT
iajs-221	174	11	sp1),(sp2	sp1),(sp2	NOUN
iajs-221	174	12	)	)	PUNCT
iajs-221	174	13	and	and	CCONJ
iajs-221	174	14	(	(	PUNCT
iajs-221	174	15	sp3	sp3	NOUN
iajs-221	174	16	)	)	PUNCT
iajs-221	174	17	have	have	AUX
iajs-221	174	18	simpler	simple	ADJ
iajs-221	174	19	structure	structure	NOUN
iajs-221	174	20	than	than	ADP
iajs-221	174	21	the	the	DET
iajs-221	174	22	multicriteria	multicriteria	PROPN
iajs-221	174	23	problem	problem	NOUN
iajs-221	174	24	(	(	PUNCT
iajs-221	174	25	tp7	tp7	NOUN
iajs-221	174	26	)	)	PUNCT
iajs-221	174	27	.	.	PUNCT
iajs-221	175	1	second	second	ADV
iajs-221	175	2	it	it	PRON
iajs-221	175	3	is	be	AUX
iajs-221	175	4	easy	easy	ADJ
iajs-221	175	5	to	to	PART
iajs-221	175	6	solve	solve	VERB
iajs-221	175	7	optimality	optimality	NOUN
iajs-221	175	8	for	for	ADP
iajs-221	175	9	sp1	sp1	NOUN
iajs-221	175	10	and	and	CCONJ
iajs-221	175	11	sp3	sp3	ADJ
iajs-221	175	12	by	by	ADP
iajs-221	175	13	applying	apply	VERB
iajs-221	175	14	spt	spt	NOUN
iajs-221	175	15	rule	rule	NOUN
iajs-221	175	16	and	and	CCONJ
iajs-221	175	17	edd	edd	PROPN
iajs-221	175	18	rule	rule	NOUN
iajs-221	175	19	respectively	respectively	ADV
iajs-221	175	20	and	and	CCONJ
iajs-221	175	21	also	also	ADV
iajs-221	175	22	to	to	PART
iajs-221	175	23	get	get	VERB
iajs-221	175	24	a	a	DET
iajs-221	175	25	lower	low	ADJ
iajs-221	175	26	bound	bind	VERB
iajs-221	175	27	for	for	ADP
iajs-221	175	28	(	(	PUNCT
iajs-221	175	29	sp2	sp2	NOUN
iajs-221	175	30	)	)	PUNCT
iajs-221	175	31	.	.	PUNCT
iajs-221	176	1	4.3	4.3	NUM
iajs-221	176	2	derivation	derivation	NOUN
iajs-221	176	3	of	of	ADP
iajs-221	176	4	lower	low	ADJ
iajs-221	176	5	bound	bind	VERB
iajs-221	176	6	(	(	PUNCT
iajs-221	176	7	lb	lb	NOUN
iajs-221	176	8	)	)	PUNCT
iajs-221	176	9	and	and	CCONJ
iajs-221	176	10	upper	upper	ADJ
iajs-221	176	11	bound	bind	VERB
iajs-221	176	12	for	for	ADP
iajs-221	176	13	problem	problem	NOUN
iajs-221	176	14	(	(	PUNCT
iajs-221	176	15	tp7	tp7	NOUN
iajs-221	176	16	):	):	PUNCT
iajs-221	176	17	the	the	DET
iajs-221	176	18	lower	lower	ADV
iajs-221	176	19	bound	bind	VERB
iajs-221	176	20	(	(	PUNCT
iajs-221	176	21	lb	lb	NOUN
iajs-221	176	22	)	)	PUNCT
iajs-221	176	23	is	be	AUX
iajs-221	176	24	based	base	VERB
iajs-221	176	25	on	on	ADP
iajs-221	176	26	decomposing	decompose	VERB
iajs-221	176	27	problem	problem	NOUN
iajs-221	176	28	(	(	PUNCT
iajs-221	176	29	tp7	tp7	NOUN
iajs-221	176	30	)	)	PUNCT
iajs-221	176	31	into	into	ADP
iajs-221	176	32	three	three	NUM
iajs-221	176	33	subproblems	subproblem	NOUN
iajs-221	176	34	(	(	PUNCT
iajs-221	176	35	sp1	sp1	NOUN
iajs-221	176	36	)	)	PUNCT
iajs-221	176	37	,	,	PUNCT
iajs-221	176	38	(	(	PUNCT
iajs-221	176	39	sp2	sp2	NOUN
iajs-221	176	40	)	)	PUNCT
iajs-221	176	41	and	and	CCONJ
iajs-221	176	42	(	(	PUNCT
iajs-221	176	43	sp3	sp3	NOUN
iajs-221	176	44	)	)	PUNCT
iajs-221	176	45	.	.	PUNCT
iajs-221	177	1	then	then	ADV
iajs-221	177	2	calculate	calculate	VERB
iajs-221	177	3	v1	v1	NOUN
iajs-221	177	4	to	to	PART
iajs-221	177	5	be	be	AUX
iajs-221	177	6	the	the	DET
iajs-221	177	7	minimum	minimum	ADJ
iajs-221	177	8	value	value	NOUN
iajs-221	177	9	for	for	ADP
iajs-221	177	10	(	(	PUNCT
iajs-221	177	11	sp1	sp1	NOUN
iajs-221	177	12	)	)	PUNCT
iajs-221	177	13	,	,	PUNCT
iajs-221	177	14	v2	v2	VERB
iajs-221	177	15	to	to	PART
iajs-221	177	16	be	be	AUX
iajs-221	177	17	lower	lower	ADV
iajs-221	177	18	bound	bind	VERB
iajs-221	177	19	for	for	ADP
iajs-221	177	20	(	(	PUNCT
iajs-221	177	21	sp2	sp2	NOUN
iajs-221	177	22	)	)	PUNCT
iajs-221	177	23	and	and	CCONJ
iajs-221	177	24	v3	v3	PROPN
iajs-221	177	25	to	to	PART
iajs-221	177	26	be	be	AUX
iajs-221	177	27	the	the	DET
iajs-221	177	28	minimum	minimum	ADJ
iajs-221	177	29	value	value	NOUN
iajs-221	177	30	for	for	ADP
iajs-221	177	31	(	(	PUNCT
iajs-221	177	32	sp3	sp3	NOUN
iajs-221	177	33	)	)	PUNCT
iajs-221	177	34	.	.	PUNCT
iajs-221	178	1	then	then	ADV
iajs-221	178	2	applying	apply	VERB
iajs-221	178	3	the	the	DET
iajs-221	178	4	following	follow	VERB
iajs-221	178	5	theorem	theorem	NOUN
iajs-221	178	6	:	:	PUNCT
iajs-221	178	7	theorem	theorem	ADJ
iajs-221	178	8	(	(	PUNCT
iajs-221	178	9	1)[12	1)[12	NUM
iajs-221	178	10	]	]	X
iajs-221	178	11	:	:	PUNCT
iajs-221	178	12	v1+v2+v3≤	v1+v2+v3≤	NOUN
iajs-221	178	13	m	m	AUX
iajs-221	178	14	where	where	SCONJ
iajs-221	178	15	v1,v2,v3	v1,v2,v3	NOUN
iajs-221	178	16	and	and	CCONJ
iajs-221	178	17	m	m	PROPN
iajs-221	178	18	are	be	AUX
iajs-221	178	19	the	the	DET
iajs-221	178	20	minimum	minimum	ADJ
iajs-221	178	21	objective	objective	ADJ
iajs-221	178	22	function	function	NOUN
iajs-221	178	23	values	value	NOUN
iajs-221	178	24	of	of	ADP
iajs-221	178	25	(	(	PUNCT
iajs-221	178	26	sp1),(sp2),(sp3	sp1),(sp2),(sp3	NUM
iajs-221	178	27	)	)	PUNCT
iajs-221	178	28	and	and	CCONJ
iajs-221	178	29	(	(	PUNCT
iajs-221	178	30	tp7	tp7	NOUN
iajs-221	178	31	)	)	PUNCT
iajs-221	178	32	respectively	respectively	ADV
iajs-221	178	33	.	.	PUNCT
iajs-221	179	1	■	■	PUNCT
iajs-221	179	2	to	to	PART
iajs-221	179	3	get	get	VERB
iajs-221	179	4	a	a	DET
iajs-221	179	5	lower	lower	ADV
iajs-221	179	6	bound	bind	VERB
iajs-221	179	7	lb	lb	NOUN
iajs-221	179	8	for	for	ADP
iajs-221	179	9	the	the	DET
iajs-221	179	10	problem	problem	NOUN
iajs-221	179	11	(	(	PUNCT
iajs-221	179	12	tp7	tp7	NOUN
iajs-221	179	13	):	):	PUNCT
iajs-221	179	14	for	for	ADP
iajs-221	179	15	(	(	PUNCT
iajs-221	179	16	sp1	sp1	NOUN
iajs-221	179	17	)	)	PUNCT
iajs-221	179	18	we	we	PRON
iajs-221	179	19	compute	compute	VERB
iajs-221	179	20	v1	v1	NOUN
iajs-221	179	21	by	by	ADP
iajs-221	179	22	sequencing	sequence	VERB
iajs-221	179	23	the	the	DET
iajs-221	179	24	jobs	job	NOUN
iajs-221	179	25	in	in	ADP
iajs-221	179	26	spt	spt	ADJ
iajs-221	179	27	order	order	NOUN
iajs-221	179	28	to	to	PART
iajs-221	179	29	find	find	VERB
iajs-221	179	30	the	the	DET
iajs-221	179	31	minimum	minimum	ADJ
iajs-221	179	32	total	total	ADJ
iajs-221	179	33	completion	completion	NOUN
iajs-221	179	34	times	time	NOUN
iajs-221	179	35	σci	σci	PROPN
iajs-221	179	36	.	.	PUNCT
iajs-221	180	1	for	for	ADP
iajs-221	180	2	(	(	PUNCT
iajs-221	180	3	sp2	sp2	NOUN
iajs-221	180	4	)	)	PUNCT
iajs-221	180	5	we	we	PRON
iajs-221	180	6	compute	compute	VERB
iajs-221	180	7	a	a	DET
iajs-221	180	8	lower	lower	ADV
iajs-221	180	9	bound	bind	VERB
iajs-221	180	10	for	for	ADP
iajs-221	180	11	v2	v2	NOUN
iajs-221	180	12	by	by	ADP
iajs-221	180	13	sequencing	sequence	VERB
iajs-221	180	14	the	the	DET
iajs-221	180	15	jobs	job	NOUN
iajs-221	180	16	in	in	ADP
iajs-221	180	17	edd	edd	PROPN
iajs-221	180	18	order	order	NOUN
iajs-221	180	19	to	to	PART
iajs-221	180	20	find	find	VERB
iajs-221	180	21	the	the	DET
iajs-221	180	22	minimum	minimum	ADJ
iajs-221	180	23	maximum	maximum	ADJ
iajs-221	180	24	tardiness	tardiness	NOUN
iajs-221	180	25	(	(	PUNCT
iajs-221	180	26	tmax(edd	tmax(edd	NOUN
iajs-221	180	27	)	)	PUNCT
iajs-221	180	28	)	)	PUNCT
iajs-221	180	29	.	.	PUNCT
iajs-221	181	1	since	since	SCONJ
iajs-221	181	2	tmax(edd	tmax(edd	NOUN
iajs-221	181	3	)	)	PUNCT
iajs-221	181	4	≤	≤	NOUN
iajs-221	181	5	∑ti(opt	∑ti(opt	VERB
iajs-221	181	6	)	)	PUNCT
iajs-221	181	7	.	.	PUNCT
iajs-221	182	1	hence	hence	ADV
iajs-221	182	2	tmax(edd	tmax(edd	PROPN
iajs-221	182	3	)	)	PUNCT
iajs-221	182	4	is	be	AUX
iajs-221	182	5	a	a	DET
iajs-221	182	6	lower	lower	ADV
iajs-221	182	7	bound	bind	VERB
iajs-221	182	8	for	for	ADP
iajs-221	182	9	v2	v2	PROPN
iajs-221	182	10	(	(	PUNCT
iajs-221	182	11	i.e	i.e	PROPN
iajs-221	182	12	tmax(edd)≤v2	tmax(edd)≤v2	PROPN
iajs-221	182	13	)	)	PUNCT
iajs-221	182	14	.	.	PUNCT
iajs-221	183	1	for	for	ADP
iajs-221	183	2	(	(	PUNCT
iajs-221	183	3	sp3	sp3	NOUN
iajs-221	183	4	)	)	PUNCT
iajs-221	183	5	we	we	PRON
iajs-221	183	6	compute	compute	VERB
iajs-221	183	7	v3	v3	PROPN
iajs-221	183	8	by	by	ADP
iajs-221	183	9	sequencing	sequence	VERB
iajs-221	183	10	the	the	DET
iajs-221	183	11	jobs	job	NOUN
iajs-221	183	12	in	in	ADP
iajs-221	183	13	edd	edd	PROPN
iajs-221	183	14	order	order	NOUN
iajs-221	183	15	to	to	PART
iajs-221	183	16	find	find	VERB
iajs-221	183	17	minimum	minimum	ADJ
iajs-221	183	18	maximum	maximum	ADJ
iajs-221	183	19	tardiness	tardiness	NOUN
iajs-221	183	20	.	.	PUNCT
iajs-221	184	1	then	then	ADV
iajs-221	184	2	applying	apply	VERB
iajs-221	184	3	theorem	theorem	NOUN
iajs-221	184	4	(	(	PUNCT
iajs-221	184	5	1	1	NUM
iajs-221	184	6	)	)	PUNCT
iajs-221	184	7	to	to	PART
iajs-221	184	8	obtain	obtain	VERB
iajs-221	184	9	lb	lb	PRON
iajs-221	184	10	=	=	NOUN
iajs-221	184	11	v1+tmax(edd)+v3	v1+tmax(edd)+v3	PROPN
iajs-221	184	12	.	.	PUNCT
iajs-221	185	1	to	to	PART
iajs-221	185	2	calculate	calculate	VERB
iajs-221	185	3	a	a	DET
iajs-221	185	4	simple	simple	ADJ
iajs-221	185	5	upper	upper	ADJ
iajs-221	185	6	bound	bind	VERB
iajs-221	185	7	(	(	PUNCT
iajs-221	185	8	ub	ub	ADJ
iajs-221	185	9	)	)	PUNCT
iajs-221	185	10	order	order	NOUN
iajs-221	185	11	the	the	DET
iajs-221	185	12	jobs	job	NOUN
iajs-221	185	13	by	by	ADP
iajs-221	185	14	spt	spt	PROPN
iajs-221	185	15	rule	rule	NOUN
iajs-221	185	16	and	and	CCONJ
iajs-221	185	17	then	then	ADV
iajs-221	185	18	set	set	VERB
iajs-221	185	19	ub	ub	NOUN
iajs-221	185	20	=	=	NOUN
iajs-221	185	21	σci+σti+tmax	σci+σti+tmax	NOUN
iajs-221	185	22	for	for	ADP
iajs-221	185	23	this	this	DET
iajs-221	185	24	spt	spt	ADJ
iajs-221	185	25	order	order	NOUN
iajs-221	185	26	.	.	PUNCT
iajs-221	186	1	4.4	4.4	NUM
iajs-221	186	2	dominance	dominance	NOUN
iajs-221	186	3	rules	rule	NOUN
iajs-221	186	4	(	(	PUNCT
iajs-221	186	5	dr	dr	PROPN
iajs-221	186	6	)	)	PUNCT
iajs-221	186	7	for	for	ADP
iajs-221	186	8	dominance	dominance	NOUN
iajs-221	186	9	rules	rule	NOUN
iajs-221	186	10	,	,	PUNCT
iajs-221	186	11	if	if	SCONJ
iajs-221	186	12	it	it	PRON
iajs-221	186	13	can	can	AUX
iajs-221	186	14	be	be	AUX
iajs-221	186	15	shown	show	VERB
iajs-221	186	16	that	that	SCONJ
iajs-221	186	17	an	an	DET
iajs-221	186	18	optimal	optimal	ADJ
iajs-221	186	19	solution	solution	NOUN
iajs-221	186	20	can	can	AUX
iajs-221	186	21	always	always	ADV
iajs-221	186	22	be	be	AUX
iajs-221	186	23	generated	generate	VERB
iajs-221	186	24	without	without	ADP
iajs-221	186	25	branching	branch	VERB
iajs-221	186	26	from	from	ADP
iajs-221	186	27	a	a	DET
iajs-221	186	28	particular	particular	ADJ
iajs-221	186	29	node	node	NOUN
iajs-221	186	30	of	of	ADP
iajs-221	186	31	the	the	DET
iajs-221	186	32	search	search	NOUN
iajs-221	186	33	tree	tree	NOUN
iajs-221	186	34	,	,	PUNCT
iajs-221	186	35	then	then	ADV
iajs-221	186	36	that	that	SCONJ
iajs-221	186	37	node	node	NOUN
iajs-221	186	38	is	be	AUX
iajs-221	186	39	dominated	dominate	VERB
iajs-221	186	40	and	and	CCONJ
iajs-221	186	41	can	can	AUX
iajs-221	186	42	be	be	AUX
iajs-221	186	43	eliminated	eliminate	VERB
iajs-221	186	44	.	.	PUNCT
iajs-221	187	1	it	it	PRON
iajs-221	187	2	is	be	AUX
iajs-221	187	3	clear	clear	ADJ
iajs-221	187	4	that	that	SCONJ
iajs-221	187	5	(	(	PUNCT
iajs-221	187	6	dr	dr	PROPN
iajs-221	187	7	)	)	PUNCT
iajs-221	187	8	are	be	AUX
iajs-221	187	9	particularly	particularly	ADV
iajs-221	187	10	useful	useful	ADJ
iajs-221	187	11	when	when	SCONJ
iajs-221	187	12	a	a	DET
iajs-221	187	13	node	node	NOUN
iajs-221	187	14	can	can	AUX
iajs-221	187	15	be	be	AUX
iajs-221	187	16	eliminated	eliminate	VERB
iajs-221	187	17	before	before	SCONJ
iajs-221	187	18	its	its	PRON
iajs-221	187	19	lb	lb	NOUN
iajs-221	187	20	is	be	AUX
iajs-221	187	21	calculated	calculate	VERB
iajs-221	187	22	,	,	PUNCT
iajs-221	187	23	and	and	CCONJ
iajs-221	187	24	this	this	DET
iajs-221	187	25	(	(	PUNCT
iajs-221	187	26	lb	lb	NOUN
iajs-221	187	27	)	)	PUNCT
iajs-221	187	28	is	be	AUX
iajs-221	187	29	less	less	ADJ
iajs-221	187	30	than	than	ADP
iajs-221	187	31	the	the	DET
iajs-221	187	32	optimal	optimal	ADJ
iajs-221	187	33	solution	solution	NOUN
iajs-221	187	34	.	.	PUNCT
iajs-221	188	1	the	the	DET
iajs-221	188	2	following	following	ADJ
iajs-221	188	3	result	result	NOUN
iajs-221	188	4	for	for	ADP
iajs-221	188	5	(	(	PUNCT
iajs-221	188	6	dr	dr	PROPN
iajs-221	188	7	)	)	PUNCT
iajs-221	188	8	for	for	ADP
iajs-221	188	9	problem	problem	NOUN
iajs-221	188	10	(	(	PUNCT
iajs-221	188	11	tp7	tp7	NOUN
iajs-221	188	12	)	)	PUNCT
iajs-221	188	13	is	be	AUX
iajs-221	188	14	given	give	VERB
iajs-221	188	15	next	next	ADV
iajs-221	188	16	.	.	PUNCT
iajs-221	189	1	lemma	lemma	PROPN
iajs-221	189	2	(	(	PUNCT
iajs-221	189	3	1)[7	1)[7	NUM
iajs-221	189	4	]	]	X
iajs-221	189	5	:	:	PUNCT
iajs-221	189	6	if	if	SCONJ
iajs-221	189	7	pi	pi	NOUN
iajs-221	189	8	≤	≤	X
iajs-221	189	9	pj	pj	PROPN
iajs-221	189	10	and	and	CCONJ
iajs-221	189	11	di	di	ADJ
iajs-221	189	12	≤	≤	NUM
iajs-221	189	13	dj	dj	NOUN
iajs-221	189	14	,	,	PUNCT
iajs-221	189	15	then	then	ADV
iajs-221	189	16	there	there	PRON
iajs-221	189	17	exists	exist	VERB
iajs-221	189	18	an	an	DET
iajs-221	189	19	optimal	optimal	ADJ
iajs-221	189	20	sequence	sequence	NOUN
iajs-221	189	21	in	in	ADP
iajs-221	189	22	which	which	DET
iajs-221	189	23	job	job	NOUN
iajs-221	189	24	i	i	PRON
iajs-221	189	25	is	be	AUX
iajs-221	189	26	sequence	sequence	NOUN
iajs-221	189	27	before	before	ADP
iajs-221	189	28	job	job	NOUN
iajs-221	189	29	j.	j.	PROPN
iajs-221	189	30	162	162	NUM
iajs-221	190	1	|	|	CCONJ
iajs-221	190	2	mathematics	mathematic	NOUN
iajs-221	190	3	٢٠١٥	٢٠١٥	NUM
iajs-221	190	4	)	)	PUNCT
iajs-221	190	5	عام	عام	ADP
iajs-221	190	6	٢العدد	٢العدد	PROPN
iajs-221	190	7	(	(	PUNCT
iajs-221	190	8	٢٨مجلة	٢٨مجلة	X
iajs-221	190	9	ابن	ابن	PROPN
iajs-221	190	10	الھيثم	الھيثم	PROPN
iajs-221	190	11	للعلوم	للعلوم	PROPN
iajs-221	190	12	الصرفة	الصرفة	PROPN
iajs-221	190	13	والتطبيقية	والتطبيقية	PRON
iajs-221	190	14	المجلد	المجلد	VERB
iajs-221	190	15	ibn	ibn	PROPN
iajs-221	190	16	al	al	PROPN
iajs-221	190	17	-	-	PUNCT
iajs-221	190	18	haitham	haitham	PROPN
iajs-221	190	19	.	.	PUNCT
iajs-221	191	1	j.	j.	PROPN
iajs-221	191	2	for	for	ADP
iajs-221	191	3	pure	pure	PROPN
iajs-221	191	4	&	&	CCONJ
iajs-221	191	5	appl	appl	PROPN
iajs-221	191	6	.	.	PUNCT
iajs-221	192	1	sci	sci	PROPN
iajs-221	192	2	.	.	PUNCT
iajs-221	192	3	vol	vol	NOUN
iajs-221	192	4	.	.	PROPN
iajs-221	193	1	28	28	NUM
iajs-221	193	2	(	(	PUNCT
iajs-221	193	3	2	2	NUM
iajs-221	193	4	)	)	PUNCT
iajs-221	193	5	2015	2015	NUM
iajs-221	193	6	hence	hence	ADV
iajs-221	193	7	the	the	DET
iajs-221	193	8	(	(	PUNCT
iajs-221	193	9	bab	bab	PROPN
iajs-221	193	10	)	)	PUNCT
iajs-221	193	11	method	method	NOUN
iajs-221	193	12	now	now	ADV
iajs-221	193	13	can	can	AUX
iajs-221	193	14	be	be	AUX
iajs-221	193	15	used	use	VERB
iajs-221	193	16	to	to	PART
iajs-221	193	17	find	find	VERB
iajs-221	193	18	the	the	DET
iajs-221	193	19	optimal	optimal	ADJ
iajs-221	193	20	solution	solution	NOUN
iajs-221	193	21	for	for	ADP
iajs-221	193	22	the	the	DET
iajs-221	193	23	problem	problem	NOUN
iajs-221	193	24	(	(	PUNCT
iajs-221	193	25	tp7	tp7	NOUN
iajs-221	193	26	)	)	PUNCT
iajs-221	193	27	,	,	PUNCT
iajs-221	193	28	with	with	ADP
iajs-221	193	29	the	the	DET
iajs-221	193	30	help	help	NOUN
iajs-221	193	31	of	of	ADP
iajs-221	193	32	dominance	dominance	NOUN
iajs-221	193	33	rule	rule	NOUN
iajs-221	193	34	for	for	ADP
iajs-221	193	35	the	the	DET
iajs-221	193	36	problem	problem	NOUN
iajs-221	193	37	(	(	PUNCT
iajs-221	193	38	tp	tp	NOUN
iajs-221	193	39	)	)	PUNCT
iajs-221	193	40	.	.	PUNCT
iajs-221	194	1	5	5	X
iajs-221	194	2	.	.	X
iajs-221	194	3	characterizing	characterize	VERB
iajs-221	194	4	efficient	efficient	ADJ
iajs-221	194	5	solutions	solution	NOUN
iajs-221	194	6	for	for	ADP
iajs-221	194	7	the	the	DET
iajs-221	194	8	problem	problem	NOUN
iajs-221	194	9	(	(	PUNCT
iajs-221	194	10	tp	tp	NOUN
iajs-221	194	11	):	):	PUNCT
iajs-221	194	12	we	we	PRON
iajs-221	194	13	first	first	ADV
iajs-221	194	14	characterize	characterize	VERB
iajs-221	194	15	the	the	DET
iajs-221	194	16	set	set	NOUN
iajs-221	194	17	of	of	ADP
iajs-221	194	18	efficient	efficient	ADJ
iajs-221	194	19	points	point	NOUN
iajs-221	194	20	and	and	CCONJ
iajs-221	194	21	then	then	ADV
iajs-221	194	22	propose	propose	VERB
iajs-221	194	23	an	an	DET
iajs-221	194	24	efficient	efficient	ADJ
iajs-221	194	25	algorithms	algorithm	NOUN
iajs-221	194	26	to	to	PART
iajs-221	194	27	find	find	VERB
iajs-221	194	28	most	most	ADJ
iajs-221	194	29	of	of	ADP
iajs-221	194	30	the	the	DET
iajs-221	194	31	efficient	efficient	ADJ
iajs-221	194	32	points	point	NOUN
iajs-221	194	33	.	.	PUNCT
iajs-221	195	1	5.1	5.1	NUM
iajs-221	195	2	some	some	DET
iajs-221	195	3	results	result	NOUN
iajs-221	195	4	for	for	ADP
iajs-221	195	5	the	the	DET
iajs-221	195	6	1//(∑ci	1//(∑ci	NUM
iajs-221	195	7	,	,	PUNCT
iajs-221	195	8	∑ti	∑ti	NUM
iajs-221	195	9	,	,	PUNCT
iajs-221	195	10	tmax	tmax	NUM
iajs-221	195	11	)	)	PUNCT
iajs-221	195	12	problem	problem	NOUN
iajs-221	195	13	(	(	PUNCT
iajs-221	195	14	tp	tp	NOUN
iajs-221	195	15	):	):	PUNCT
iajs-221	195	16	proposition	proposition	NOUN
iajs-221	195	17	(	(	PUNCT
iajs-221	195	18	1	1	NUM
iajs-221	195	19	):	):	PUNCT
iajs-221	195	20	if	if	SCONJ
iajs-221	195	21	the	the	DET
iajs-221	195	22	spt	spt	PROPN
iajs-221	195	23	schedule	schedule	NOUN
iajs-221	195	24	gives	give	VERB
iajs-221	195	25	ci	ci	NOUN
iajs-221	195	26	di	di	X
iajs-221	195	27	∀	∀	X
iajs-221	195	28	∈	∈	PROPN
iajs-221	195	29	,	,	PUNCT
iajs-221	195	30	then	then	ADV
iajs-221	195	31	this	this	DET
iajs-221	195	32	spt	spt	PROPN
iajs-221	195	33	schedule	schedule	NOUN
iajs-221	195	34	is	be	AUX
iajs-221	195	35	the	the	DET
iajs-221	195	36	only	only	ADJ
iajs-221	195	37	efficient	efficient	ADJ
iajs-221	195	38	solution	solution	NOUN
iajs-221	195	39	for	for	ADP
iajs-221	195	40	the	the	DET
iajs-221	195	41	problem	problem	NOUN
iajs-221	195	42	1//(∑ci,∑ti	1//(∑ci,∑ti	NUM
iajs-221	195	43	,	,	PUNCT
iajs-221	195	44	tmax	tmax	NUM
iajs-221	195	45	)	)	PUNCT
iajs-221	195	46	.	.	PUNCT
iajs-221	196	1	proof	proof	NOUN
iajs-221	196	2	:	:	PUNCT
iajs-221	196	3	it	it	PRON
iajs-221	196	4	is	be	AUX
iajs-221	196	5	clear	clear	ADJ
iajs-221	196	6	.	.	PUNCT
iajs-221	197	1	■	■	PUNCT
iajs-221	197	2	proposition	proposition	NOUN
iajs-221	197	3	(	(	PUNCT
iajs-221	197	4	2	2	NUM
iajs-221	197	5	):	):	PUNCT
iajs-221	197	6	there	there	PRON
iajs-221	197	7	exists	exist	VERB
iajs-221	197	8	an	an	DET
iajs-221	197	9	efficient	efficient	ADJ
iajs-221	197	10	solution	solution	NOUN
iajs-221	197	11	for	for	ADP
iajs-221	197	12	problem	problem	NOUN
iajs-221	197	13	(	(	PUNCT
iajs-221	197	14	tp	tp	NOUN
iajs-221	197	15	)	)	PUNCT
iajs-221	197	16	1//(∑ci,∑ti	1//(∑ci,∑ti	NUM
iajs-221	197	17	,	,	PUNCT
iajs-221	197	18	tmax	tmax	NUM
iajs-221	197	19	)	)	PUNCT
iajs-221	197	20	that	that	PRON
iajs-221	197	21	satisfies	satisfy	VERB
iajs-221	197	22	the	the	DET
iajs-221	197	23	spt	spt	PROPN
iajs-221	197	24	rule	rule	NOUN
iajs-221	197	25	.	.	PUNCT
iajs-221	198	1	proof	proof	NOUN
iajs-221	198	2	:	:	PUNCT
iajs-221	198	3	suppose	suppose	VERB
iajs-221	198	4	first	first	ADV
iajs-221	198	5	,	,	PUNCT
iajs-221	198	6	that	that	SCONJ
iajs-221	198	7	all	all	DET
iajs-221	198	8	processing	processing	NOUN
iajs-221	198	9	times	time	NOUN
iajs-221	198	10	are	be	AUX
iajs-221	198	11	different	different	ADJ
iajs-221	198	12	.	.	PUNCT
iajs-221	199	1	the	the	DET
iajs-221	199	2	unique	unique	ADJ
iajs-221	199	3	spt	spt	NOUN
iajs-221	199	4	sequence	sequence	NOUN
iajs-221	199	5	(	(	PUNCT
iajs-221	199	6	spt	spt	PROPN
iajs-221	199	7	*	*	PUNCT
iajs-221	199	8	)	)	PUNCT
iajs-221	199	9	gives	give	VERB
iajs-221	199	10	the	the	DET
iajs-221	199	11	absolute	absolute	ADJ
iajs-221	199	12	minimum	minimum	NOUN
iajs-221	199	13	of	of	ADP
iajs-221	199	14	∑ci	∑ci	X
iajs-221	199	15	.	.	PUNCT
iajs-221	200	1	hence	hence	ADV
iajs-221	200	2	there	there	PRON
iajs-221	200	3	is	be	VERB
iajs-221	200	4	no	no	DET
iajs-221	200	5	sequence	sequence	NOUN
iajs-221	200	6	σ≠spt	σ≠spt	PROPN
iajs-221	200	7	*	*	PUNCT
iajs-221	200	8	such	such	ADJ
iajs-221	200	9	that	that	SCONJ
iajs-221	200	10	:	:	PUNCT
iajs-221	200	11	σ	σ	NOUN
iajs-221	200	12	∗	∗	NOUN
iajs-221	200	13	,	,	PUNCT
iajs-221	200	14	σ	σ	PROPN
iajs-221	200	15	∗	∗	PROPN
iajs-221	200	16	σ	σ	PROPN
iajs-221	200	17	∗	∗	NOUN
iajs-221	200	18	.	.	PUNCT
iajs-221	200	19	.	.	PUNCT
iajs-221	201	1	.	.	PUNCT
iajs-221	202	1	1	1	NUM
iajs-221	202	2	with	with	ADP
iajs-221	202	3	at	at	ADV
iajs-221	202	4	least	least	ADV
iajs-221	202	5	one	one	NUM
iajs-221	202	6	strict	strict	ADJ
iajs-221	202	7	inequality	inequality	NOUN
iajs-221	202	8	.	.	PUNCT
iajs-221	203	1	if	if	SCONJ
iajs-221	203	2	more	more	ADJ
iajs-221	203	3	than	than	ADP
iajs-221	203	4	one	one	NUM
iajs-221	203	5	spt	spt	NOUN
iajs-221	203	6	sequence	sequence	NOUN
iajs-221	203	7	exists	exist	VERB
iajs-221	203	8	(	(	PUNCT
iajs-221	203	9	jobs	job	NOUN
iajs-221	203	10	with	with	ADP
iajs-221	203	11	equal	equal	ADJ
iajs-221	203	12	processing	processing	NOUN
iajs-221	203	13	times	time	NOUN
iajs-221	203	14	)	)	PUNCT
iajs-221	203	15	,	,	PUNCT
iajs-221	203	16	let	let	VERB
iajs-221	203	17	spt	spt	PROPN
iajs-221	203	18	*	*	VERB
iajs-221	203	19	be	be	AUX
iajs-221	203	20	a	a	DET
iajs-221	203	21	sequence	sequence	NOUN
iajs-221	203	22	satisfying	satisfy	VERB
iajs-221	203	23	the	the	DET
iajs-221	203	24	spt	spt	PROPN
iajs-221	203	25	rule	rule	NOUN
iajs-221	203	26	and	and	CCONJ
iajs-221	203	27	the	the	DET
iajs-221	203	28	jobs	job	NOUN
iajs-221	203	29	with	with	ADP
iajs-221	203	30	equal	equal	ADJ
iajs-221	203	31	processing	processing	NOUN
iajs-221	203	32	times	time	NOUN
iajs-221	203	33	are	be	AUX
iajs-221	203	34	ordered	order	VERB
iajs-221	203	35	in	in	ADP
iajs-221	203	36	edd	edd	PROPN
iajs-221	203	37	rule	rule	NOUN
iajs-221	203	38	to	to	PART
iajs-221	203	39	minimize	minimize	VERB
iajs-221	203	40	∑ti(spt	∑ti(spt	PROPN
iajs-221	203	41	*	*	NOUN
iajs-221	203	42	)	)	PUNCT
iajs-221	203	43	and	and	CCONJ
iajs-221	203	44	tmax(spt	tmax(spt	NOUN
iajs-221	203	45	*	*	PUNCT
iajs-221	203	46	)	)	PUNCT
iajs-221	203	47	.	.	PUNCT
iajs-221	204	1	note	note	VERB
iajs-221	204	2	that	that	SCONJ
iajs-221	204	3	if	if	SCONJ
iajs-221	204	4	we	we	PRON
iajs-221	204	5	have	have	AUX
iajs-221	204	6	spt	spt	NOUN
iajs-221	204	7	*	*	PUNCT
iajs-221	204	8	is	be	AUX
iajs-221	204	9	not	not	PART
iajs-221	204	10	unique	unique	ADJ
iajs-221	204	11	we	we	PRON
iajs-221	204	12	can	can	AUX
iajs-221	204	13	prove	prove	VERB
iajs-221	204	14	that	that	SCONJ
iajs-221	204	15	every	every	DET
iajs-221	204	16	spt*sequence	spt*sequence	NOUN
iajs-221	204	17	is	be	AUX
iajs-221	204	18	an	an	DET
iajs-221	204	19	efficient	efficient	ADJ
iajs-221	204	20	,	,	PUNCT
iajs-221	204	21	it	it	PRON
iajs-221	204	22	is	be	AUX
iajs-221	204	23	clear	clear	ADJ
iajs-221	204	24	that	that	SCONJ
iajs-221	204	25	sequence	sequence	NOUN
iajs-221	204	26	that	that	PRON
iajs-221	204	27	does	do	AUX
iajs-221	204	28	not	not	PART
iajs-221	204	29	satisfy	satisfy	VERB
iajs-221	204	30	the	the	DET
iajs-221	204	31	spt	spt	PROPN
iajs-221	204	32	rule	rule	NOUN
iajs-221	204	33	can	can	AUX
iajs-221	204	34	not	not	PART
iajs-221	204	35	dominate	dominate	VERB
iajs-221	204	36	an	an	DET
iajs-221	204	37	spt	spt	NOUN
iajs-221	204	38	*	*	NOUN
iajs-221	204	39	sequence	sequence	NOUN
iajs-221	204	40	(	(	PUNCT
iajs-221	204	41	1	1	NUM
iajs-221	204	42	)	)	PUNCT
iajs-221	204	43	.	.	PUNCT
iajs-221	205	1	note	note	VERB
iajs-221	205	2	if	if	SCONJ
iajs-221	205	3	σ	σ	PROPN
iajs-221	205	4	is	be	AUX
iajs-221	205	5	an	an	DET
iajs-221	205	6	spt	spt	NOUN
iajs-221	205	7	but	but	CCONJ
iajs-221	205	8	not	not	PART
iajs-221	205	9	spt	spt	ADJ
iajs-221	205	10	*	*	NOUN
iajs-221	205	11	sequence	sequence	NOUN
iajs-221	205	12	it	it	PRON
iajs-221	205	13	can	can	AUX
iajs-221	205	14	not	not	PART
iajs-221	205	15	dominate	dominate	VERB
iajs-221	205	16	spt	spt	NOUN
iajs-221	205	17	*	*	PUNCT
iajs-221	205	18	since	since	SCONJ
iajs-221	205	19	:	:	PUNCT
iajs-221	205	20	σ	σ	NOUN
iajs-221	205	21	∗	∗	NOUN
iajs-221	205	22	,	,	PUNCT
iajs-221	205	23	∗	∗	PROPN
iajs-221	205	24	σ	σ	PROPN
iajs-221	205	25	∗	∗	PROPN
iajs-221	205	26	σ	σ	NOUN
iajs-221	205	27	.	.	PUNCT
iajs-221	205	28	.	.	PUNCT
iajs-221	206	1	.	.	PUNCT
iajs-221	207	1	2	2	NUM
iajs-221	207	2	hence	hence	ADV
iajs-221	207	3	,	,	PUNCT
iajs-221	207	4	all	all	DET
iajs-221	207	5	spt	spt	NOUN
iajs-221	207	6	*	*	NOUN
iajs-221	207	7	sequences	sequence	NOUN
iajs-221	207	8	are	be	AUX
iajs-221	207	9	efficient	efficient	ADJ
iajs-221	207	10	.	.	PUNCT
iajs-221	208	1	■	■	PUNCT
iajs-221	208	2	example	example	NOUN
iajs-221	208	3	(	(	PUNCT
iajs-221	208	4	3	3	NUM
iajs-221	208	5	):	):	PUNCT
iajs-221	208	6	consider	consider	VERB
iajs-221	208	7	the	the	DET
iajs-221	208	8	problem	problem	NOUN
iajs-221	208	9	(	(	PUNCT
iajs-221	208	10	tp	tp	NOUN
iajs-221	208	11	)	)	PUNCT
iajs-221	208	12	with	with	ADP
iajs-221	208	13	the	the	DET
iajs-221	208	14	following	follow	VERB
iajs-221	208	15	data	data	NOUN
iajs-221	208	16	:	:	PUNCT
iajs-221	208	17	pi=(2,2,4,7	pi=(2,2,4,7	NOUN
iajs-221	208	18	)	)	PUNCT
iajs-221	208	19	,	,	PUNCT
iajs-221	208	20	di=(4,6,5,9	di=(4,6,5,9	PROPN
iajs-221	208	21	)	)	PUNCT
iajs-221	208	22	.	.	PUNCT
iajs-221	209	1	the	the	DET
iajs-221	209	2	spt	spt	PROPN
iajs-221	209	3	sequence	sequence	NOUN
iajs-221	209	4	(	(	PUNCT
iajs-221	209	5	1,2,3,4	1,2,3,4	NUM
iajs-221	209	6	)	)	PUNCT
iajs-221	209	7	gives	give	VERB
iajs-221	209	8	(	(	PUNCT
iajs-221	209	9	∑ci,∑ti	∑ci,∑ti	ADJ
iajs-221	209	10	,	,	PUNCT
iajs-221	209	11	tmax)=(29,9,6	tmax)=(29,9,6	NOUN
iajs-221	209	12	)	)	PUNCT
iajs-221	209	13	is	be	AUX
iajs-221	209	14	one	one	NUM
iajs-221	209	15	of	of	ADP
iajs-221	209	16	the	the	DET
iajs-221	209	17	efficient	efficient	ADJ
iajs-221	209	18	solutions	solution	NOUN
iajs-221	209	19	for	for	ADP
iajs-221	209	20	the	the	DET
iajs-221	209	21	problem	problem	NOUN
iajs-221	209	22	(	(	PUNCT
iajs-221	209	23	tp	tp	NOUN
iajs-221	209	24	)	)	PUNCT
iajs-221	209	25	.	.	PUNCT
iajs-221	210	1	proposition	proposition	NOUN
iajs-221	210	2	(	(	PUNCT
iajs-221	210	3	3	3	NUM
iajs-221	210	4	):	):	PUNCT
iajs-221	210	5	if	if	SCONJ
iajs-221	210	6	spt	spt	PROPN
iajs-221	210	7	rule	rule	NOUN
iajs-221	210	8	and	and	CCONJ
iajs-221	210	9	edd	edd	PROPN
iajs-221	210	10	rule	rule	NOUN
iajs-221	210	11	are	be	AUX
iajs-221	210	12	identical	identical	ADJ
iajs-221	210	13	,	,	PUNCT
iajs-221	210	14	then	then	ADV
iajs-221	210	15	there	there	PRON
iajs-221	210	16	exists	exist	VERB
iajs-221	210	17	only	only	ADV
iajs-221	210	18	one	one	NUM
iajs-221	210	19	efficient	efficient	ADJ
iajs-221	210	20	solution	solution	NOUN
iajs-221	210	21	for	for	ADP
iajs-221	210	22	(	(	PUNCT
iajs-221	210	23	tp	tp	NOUN
iajs-221	210	24	)	)	PUNCT
iajs-221	210	25	1//(∑ci,∑ti	1//(∑ci,∑ti	NUM
iajs-221	210	26	,	,	PUNCT
iajs-221	210	27	tmax	tmax	PRON
iajs-221	210	28	)	)	PUNCT
iajs-221	210	29	.	.	PUNCT
iajs-221	211	1	proof	proof	NOUN
iajs-221	211	2	:	:	PUNCT
iajs-221	211	3	it	it	PRON
iajs-221	211	4	is	be	AUX
iajs-221	211	5	clear	clear	ADJ
iajs-221	211	6	.	.	PUNCT
iajs-221	212	1	■	■	PUNCT
iajs-221	212	2	example	example	NOUN
iajs-221	212	3	(	(	PUNCT
iajs-221	212	4	4	4	NUM
iajs-221	212	5	):	):	PUNCT
iajs-221	212	6	consider	consider	VERB
iajs-221	212	7	the	the	DET
iajs-221	212	8	problem	problem	NOUN
iajs-221	212	9	(	(	PUNCT
iajs-221	212	10	tp	tp	NOUN
iajs-221	212	11	)	)	PUNCT
iajs-221	212	12	with	with	ADP
iajs-221	212	13	the	the	DET
iajs-221	212	14	following	follow	VERB
iajs-221	212	15	data	datum	NOUN
iajs-221	212	16	:	:	PUNCT
iajs-221	212	17	pi=(1,3,3,7	pi=(1,3,3,7	ADJ
iajs-221	212	18	)	)	PUNCT
iajs-221	212	19	,	,	PUNCT
iajs-221	212	20	di=(4,6,8,9	di=(4,6,8,9	NOUN
iajs-221	212	21	)	)	PUNCT
iajs-221	212	22	.	.	PUNCT
iajs-221	213	1	the	the	DET
iajs-221	213	2	sequence	sequence	NOUN
iajs-221	213	3	(	(	PUNCT
iajs-221	213	4	1,2,3,4	1,2,3,4	NUM
iajs-221	213	5	)	)	PUNCT
iajs-221	213	6	(	(	PUNCT
iajs-221	213	7	which	which	PRON
iajs-221	213	8	is	be	AUX
iajs-221	213	9	spt	spt	PROPN
iajs-221	213	10	and	and	CCONJ
iajs-221	213	11	edd	edd	PROPN
iajs-221	213	12	)	)	PUNCT
iajs-221	213	13	gives	give	VERB
iajs-221	213	14	the	the	DET
iajs-221	213	15	only	only	ADJ
iajs-221	213	16	one	one	NUM
iajs-221	213	17	efficient	efficient	ADJ
iajs-221	213	18	point	point	NOUN
iajs-221	213	19	(	(	PUNCT
iajs-221	213	20	∑ci,∑ti	∑ci,∑ti	NOUN
iajs-221	213	21	,	,	PUNCT
iajs-221	213	22	tmax)=(26,5,5	tmax)=(26,5,5	PROPN
iajs-221	213	23	)	)	PUNCT
iajs-221	213	24	.	.	PUNCT
iajs-221	214	1	proposition	proposition	NOUN
iajs-221	214	2	(	(	PUNCT
iajs-221	214	3	4	4	NUM
iajs-221	214	4	):	):	PUNCT
iajs-221	214	5	if	if	SCONJ
iajs-221	214	6	tmax(edd)=0	tmax(edd)=0	ADJ
iajs-221	214	7	,	,	PUNCT
iajs-221	214	8	then	then	ADV
iajs-221	214	9	there	there	PRON
iajs-221	214	10	exists	exist	VERB
iajs-221	214	11	an	an	DET
iajs-221	214	12	efficient	efficient	ADJ
iajs-221	214	13	sequence	sequence	NOUN
iajs-221	214	14	for	for	ADP
iajs-221	214	15	1//(∑ci,∑ti	1//(∑ci,∑ti	NUM
iajs-221	214	16	,	,	PUNCT
iajs-221	214	17	tmax	tmax	NUM
iajs-221	214	18	)	)	PUNCT
iajs-221	214	19	problem	problem	NOUN
iajs-221	214	20	obtained	obtain	VERB
iajs-221	214	21	by	by	ADP
iajs-221	214	22	smith	smith	PROPN
iajs-221	214	23	backward	backward	PROPN
iajs-221	214	24	algorithm	algorithm	PROPN
iajs-221	214	25	(	(	PUNCT
iajs-221	214	26	sba	sba	PROPN
iajs-221	214	27	)	)	PUNCT
iajs-221	214	28	.	.	PUNCT
iajs-221	215	1	proof	proof	NOUN
iajs-221	215	2	:	:	PUNCT
iajs-221	215	3	if	if	SCONJ
iajs-221	215	4	tmax(edd)=0	tmax(edd)=0	ADJ
iajs-221	215	5	,	,	PUNCT
iajs-221	215	6	then	then	ADV
iajs-221	215	7	it	it	PRON
iajs-221	215	8	’s	’	VERB
iajs-221	215	9	clear	clear	ADJ
iajs-221	215	10	that	that	SCONJ
iajs-221	215	11	sba	sba	PROPN
iajs-221	215	12	gives	give	VERB
iajs-221	215	13	a	a	DET
iajs-221	215	14	schedule	schedule	NOUN
iajs-221	215	15	with	with	ADP
iajs-221	215	16	ci	ci	NOUN
iajs-221	215	17	≤	≤	X
iajs-221	215	18	di	di	NOUN
iajs-221	215	19	for	for	ADP
iajs-221	215	20	each	each	DET
iajs-221	215	21	i∈n	i∈n	NOUN
iajs-221	215	22	and	and	CCONJ
iajs-221	215	23	this	this	DET
iajs-221	215	24	schedule	schedule	NOUN
iajs-221	215	25	also	also	ADV
iajs-221	215	26	gives	give	VERB
iajs-221	215	27	minimum	minimum	NOUN
iajs-221	215	28	∑ci	∑ci	NOUN
iajs-221	215	29	with	with	ADP
iajs-221	215	30	∑ti=0	∑ti=0	NUM
iajs-221	215	31	and	and	CCONJ
iajs-221	215	32	tmax=0	tmax=0	NUM
iajs-221	215	33	.	.	PUNCT
iajs-221	216	1	this	this	DET
iajs-221	216	2	schedule	schedule	NOUN
iajs-221	216	3	can	can	AUX
iajs-221	216	4	not	not	PART
iajs-221	216	5	be	be	AUX
iajs-221	216	6	dominated	dominate	VERB
iajs-221	216	7	by	by	ADP
iajs-221	216	8	any	any	DET
iajs-221	216	9	other	other	ADJ
iajs-221	216	10	schedule	schedule	NOUN
iajs-221	216	11	since	since	SCONJ
iajs-221	216	12	∑ci	∑ci	PROPN
iajs-221	216	13	is	be	AUX
iajs-221	216	14	the	the	DET
iajs-221	216	15	minimum	minimum	NOUN
iajs-221	216	16	for	for	ADP
iajs-221	216	17	all	all	DET
iajs-221	216	18	schedules	schedule	NOUN
iajs-221	216	19	with	with	ADP
iajs-221	216	20	∑ti=0	∑ti=0	NUM
iajs-221	216	21	and	and	CCONJ
iajs-221	216	22	tmax=0	tmax=0	NUM
iajs-221	216	23	.	.	PUNCT
iajs-221	217	1	hence	hence	ADV
iajs-221	217	2	this	this	DET
iajs-221	217	3	schedule	schedule	NOUN
iajs-221	217	4	obtained	obtain	VERB
iajs-221	217	5	by	by	ADP
iajs-221	217	6	sba	sba	PROPN
iajs-221	217	7	is	be	AUX
iajs-221	217	8	efficient	efficient	ADJ
iajs-221	217	9	for	for	ADP
iajs-221	217	10	1//(∑ci,∑ti	1//(∑ci,∑ti	NUM
iajs-221	217	11	,	,	PUNCT
iajs-221	217	12	tmax	tmax	NUM
iajs-221	217	13	)	)	PUNCT
iajs-221	217	14	problem	problem	NOUN
iajs-221	217	15	.	.	PUNCT
iajs-221	218	1	■	■	PUNCT
iajs-221	218	2	example	example	NOUN
iajs-221	218	3	(	(	PUNCT
iajs-221	218	4	5	5	NUM
iajs-221	218	5	):	):	PUNCT
iajs-221	218	6	consider	consider	VERB
iajs-221	218	7	the	the	DET
iajs-221	218	8	problem	problem	NOUN
iajs-221	218	9	(	(	PUNCT
iajs-221	218	10	tp	tp	NOUN
iajs-221	218	11	)	)	PUNCT
iajs-221	218	12	with	with	ADP
iajs-221	218	13	the	the	DET
iajs-221	218	14	following	follow	VERB
iajs-221	218	15	data	data	NOUN
iajs-221	218	16	:	:	PUNCT
iajs-221	218	17	pi=(5,3,4,6	pi=(5,3,4,6	NOUN
iajs-221	218	18	)	)	PUNCT
iajs-221	218	19	,	,	PUNCT
iajs-221	218	20	di=(10,12,13,18	di=(10,12,13,18	PROPN
iajs-221	218	21	)	)	PUNCT
iajs-221	218	22	.	.	PUNCT
iajs-221	219	1	the	the	DET
iajs-221	219	2	schedule	schedule	NOUN
iajs-221	219	3	(	(	PUNCT
iajs-221	219	4	2,1,3,4	2,1,3,4	NUM
iajs-221	219	5	)	)	PUNCT
iajs-221	219	6	obtained	obtain	VERB
iajs-221	219	7	by	by	ADP
iajs-221	219	8	sba	sba	PROPN
iajs-221	219	9	gives	give	VERB
iajs-221	219	10	the	the	DET
iajs-221	219	11	efficient	efficient	ADJ
iajs-221	219	12	point	point	NOUN
iajs-221	219	13	(	(	PUNCT
iajs-221	219	14	∑ci,∑ti	∑ci,∑ti	NOUN
iajs-221	219	15	,	,	PUNCT
iajs-221	219	16	tmax)=(41,0,0	tmax)=(41,0,0	NOUN
iajs-221	219	17	)	)	PUNCT
iajs-221	219	18	.	.	PUNCT
iajs-221	220	1	163	163	NUM
iajs-221	220	2	|	|	NOUN
iajs-221	220	3	mathematics	mathematic	NOUN
iajs-221	220	4	٢٠١٥	٢٠١٥	NUM
iajs-221	220	5	)	)	PUNCT
iajs-221	220	6	عام	عام	ADP
iajs-221	220	7	٢العدد	٢العدد	PROPN
iajs-221	220	8	(	(	PUNCT
iajs-221	220	9	٢٨مجلة	٢٨مجلة	X
iajs-221	220	10	ابن	ابن	PROPN
iajs-221	220	11	الھيثم	الھيثم	PROPN
iajs-221	220	12	للعلوم	للعلوم	PROPN
iajs-221	220	13	الصرفة	الصرفة	PROPN
iajs-221	220	14	والتطبيقية	والتطبيقية	PRON
iajs-221	220	15	المجلد	المجلد	VERB
iajs-221	220	16	ibn	ibn	PROPN
iajs-221	220	17	al	al	PROPN
iajs-221	220	18	-	-	PUNCT
iajs-221	220	19	haitham	haitham	PROPN
iajs-221	220	20	.	.	PUNCT
iajs-221	221	1	j.	j.	PROPN
iajs-221	221	2	for	for	ADP
iajs-221	221	3	pure	pure	PROPN
iajs-221	221	4	&	&	CCONJ
iajs-221	221	5	appl	appl	PROPN
iajs-221	221	6	.	.	PUNCT
iajs-221	222	1	sci	sci	PROPN
iajs-221	222	2	.	.	PUNCT
iajs-221	222	3	vol	vol	NOUN
iajs-221	222	4	.	.	PROPN
iajs-221	223	1	28	28	NUM
iajs-221	223	2	(	(	PUNCT
iajs-221	223	3	2	2	NUM
iajs-221	223	4	)	)	PUNCT
iajs-221	223	5	2015	2015	NUM
iajs-221	223	6	5.2	5.2	NUM
iajs-221	223	7	algorithm	algorithm	NOUN
iajs-221	223	8	(	(	PUNCT
iajs-221	223	9	atp	atp	PROPN
iajs-221	223	10	)	)	PUNCT
iajs-221	223	11	for	for	ADP
iajs-221	223	12	determination	determination	NOUN
iajs-221	223	13	of	of	ADP
iajs-221	223	14	pareto	pareto	ADJ
iajs-221	223	15	points	point	NOUN
iajs-221	223	16	:	:	PUNCT
iajs-221	223	17	from	from	ADP
iajs-221	223	18	the	the	DET
iajs-221	223	19	above	above	ADJ
iajs-221	223	20	results	result	NOUN
iajs-221	223	21	,	,	PUNCT
iajs-221	223	22	we	we	PRON
iajs-221	223	23	now	now	ADV
iajs-221	223	24	propose	propose	VERB
iajs-221	223	25	algorithm	algorithm	NOUN
iajs-221	223	26	(	(	PUNCT
iajs-221	223	27	atp	atp	PROPN
iajs-221	223	28	)	)	PUNCT
iajs-221	223	29	to	to	PART
iajs-221	223	30	determine	determine	VERB
iajs-221	223	31	the	the	DET
iajs-221	223	32	set	set	NOUN
iajs-221	223	33	of	of	ADP
iajs-221	223	34	efficient	efficient	ADJ
iajs-221	223	35	solutions	solution	NOUN
iajs-221	223	36	for	for	ADP
iajs-221	223	37	the	the	DET
iajs-221	223	38	1//(∑ci,∑ti	1//(∑ci,∑ti	NUM
iajs-221	223	39	,	,	PUNCT
iajs-221	223	40	tmax	tmax	NUM
iajs-221	223	41	)	)	PUNCT
iajs-221	223	42	problem	problem	NOUN
iajs-221	223	43	(	(	PUNCT
iajs-221	223	44	tp	tp	NOUN
iajs-221	223	45	)	)	PUNCT
iajs-221	223	46	.	.	PUNCT
iajs-221	224	1	algorithm	algorithm	NOUN
iajs-221	224	2	(	(	PUNCT
iajs-221	224	3	atp	atp	PROPN
iajs-221	224	4	)	)	PUNCT
iajs-221	224	5	for	for	ADP
iajs-221	224	6	finding	find	VERB
iajs-221	224	7	efficient	efficient	ADJ
iajs-221	224	8	solutions	solution	NOUN
iajs-221	224	9	for	for	ADP
iajs-221	224	10	the	the	DET
iajs-221	224	11	problem	problem	NOUN
iajs-221	224	12	1//(∑ci,∑ti	1//(∑ci,∑ti	NUM
iajs-221	224	13	,	,	PUNCT
iajs-221	224	14	tmax	tmax	NUM
iajs-221	224	15	)	)	PUNCT
iajs-221	224	16	(	(	PUNCT
iajs-221	224	17	tp	tp	NOUN
iajs-221	224	18	)	)	PUNCT
iajs-221	224	19	by	by	ADP
iajs-221	224	20	(	(	PUNCT
iajs-221	224	21	modifying	modify	VERB
iajs-221	224	22	lawler	lawler	PROPN
iajs-221	224	23	algorithm	algorithm	NOUN
iajs-221	224	24	):	):	PUNCT
iajs-221	224	25	step	step	NOUN
iajs-221	224	26	(	(	PUNCT
iajs-221	224	27	0	0	NUM
iajs-221	224	28	):	):	PUNCT
iajs-221	224	29	put	put	VERB
iajs-221	224	30	∆=∑pi	∆=∑pi	NOUN
iajs-221	224	31	,	,	PUNCT
iajs-221	224	32	n={1,2,	n={1,2,	NOUN
iajs-221	224	33	…	…	SYM
iajs-221	224	34	,n	,n	NOUN
iajs-221	224	35	}	}	PUNCT
iajs-221	224	36	,	,	PUNCT
iajs-221	224	37	k	k	NOUN
iajs-221	224	38	=	=	NOUN
iajs-221	224	39	n	n	X
iajs-221	224	40	,	,	PUNCT
iajs-221	224	41	t	t	PROPN
iajs-221	224	42	=	=	SYM
iajs-221	224	43	cmax=∑pi	cmax=∑pi	NOUN
iajs-221	224	44	and	and	CCONJ
iajs-221	224	45	σ=	σ=	NOUN
iajs-221	224	46	(	(	PUNCT
iajs-221	224	47	)	)	PUNCT
iajs-221	224	48	.	.	PUNCT
iajs-221	225	1	step	step	NOUN
iajs-221	225	2	(	(	PUNCT
iajs-221	225	3	1	1	NUM
iajs-221	225	4	):	):	PUNCT
iajs-221	225	5	calculate	calculate	NOUN
iajs-221	225	6	ti	ti	NOUN
iajs-221	225	7	,	,	PUNCT
iajs-221	225	8	∀i∈n	∀i∈n	NUM
iajs-221	225	9	by	by	ADP
iajs-221	225	10	using	use	VERB
iajs-221	225	11	lawler	lawler	PROPN
iajs-221	225	12	algorithm	algorithm	PROPN
iajs-221	225	13	,	,	PUNCT
iajs-221	225	14	where	where	SCONJ
iajs-221	225	15	ti	ti	ADP
iajs-221	225	16	=	=	NOUN
iajs-221	225	17	max{ci	max{ci	NOUN
iajs-221	225	18	-	-	PUNCT
iajs-221	225	19	di,0	di,0	ADJ
iajs-221	225	20	}	}	PUNCT
iajs-221	225	21	.	.	PUNCT
iajs-221	226	1	step	step	NOUN
iajs-221	226	2	(	(	PUNCT
iajs-221	226	3	2	2	NUM
iajs-221	226	4	):	):	PUNCT
iajs-221	226	5	find	find	VERB
iajs-221	226	6	a	a	DET
iajs-221	226	7	jop	jop	PROPN
iajs-221	226	8	j*∈n	j*∈n	NOUN
iajs-221	226	9	,	,	PUNCT
iajs-221	226	10	such	such	ADJ
iajs-221	226	11	that	that	SCONJ
iajs-221	226	12	tj*≤∆	tj*≤∆	NOUN
iajs-221	226	13	and	and	CCONJ
iajs-221	226	14	pj*≥pi	pj*≥pi	NOUN
iajs-221	226	15	,	,	PUNCT
iajs-221	226	16	∀j	∀j	PROPN
iajs-221	226	17	*	*	NOUN
iajs-221	226	18	,	,	PUNCT
iajs-221	226	19	i∈n	i∈n	NOUN
iajs-221	226	20	and	and	CCONJ
iajs-221	226	21	ti≤∆	ti≤∆	NOUN
iajs-221	226	22	,	,	PUNCT
iajs-221	226	23	if	if	SCONJ
iajs-221	226	24	pj*=pi	pj*=pi	PROPN
iajs-221	226	25	choose	choose	VERB
iajs-221	226	26	the	the	DET
iajs-221	226	27	job	job	NOUN
iajs-221	226	28	with	with	ADP
iajs-221	226	29	largest	large	ADJ
iajs-221	226	30	dj	dj	NOUN
iajs-221	226	31	*	*	VERB
iajs-221	226	32	then	then	ADV
iajs-221	226	33	assign	assign	VERB
iajs-221	226	34	job	job	NOUN
iajs-221	226	35	j	j	PROPN
iajs-221	226	36	*	*	VERB
iajs-221	226	37	in	in	ADP
iajs-221	226	38	position	position	NOUN
iajs-221	226	39	k	k	PROPN
iajs-221	226	40	of	of	ADP
iajs-221	226	41	σ=	σ=	PROPN
iajs-221	226	42	(	(	PUNCT
iajs-221	226	43	σ	σ	PROPN
iajs-221	226	44	(	(	PUNCT
iajs-221	226	45	k	k	NOUN
iajs-221	226	46	)	)	PUNCT
iajs-221	226	47	,	,	PUNCT
iajs-221	226	48	σ	σ	PROPN
iajs-221	226	49	)	)	PUNCT
iajs-221	226	50	.	.	PUNCT
iajs-221	227	1	if	if	SCONJ
iajs-221	227	2	no	no	DET
iajs-221	227	3	job	job	NOUN
iajs-221	227	4	j	j	NOUN
iajs-221	227	5	*	*	NOUN
iajs-221	227	6	with	with	ADP
iajs-221	227	7	tj*≤∆	tj*≤∆	PROPN
iajs-221	227	8	go	go	VERB
iajs-221	227	9	to	to	PART
iajs-221	227	10	step	step	VERB
iajs-221	227	11	(	(	PUNCT
iajs-221	227	12	6	6	NUM
iajs-221	227	13	)	)	PUNCT
iajs-221	227	14	.	.	PUNCT
iajs-221	228	1	step	step	NOUN
iajs-221	228	2	(	(	PUNCT
iajs-221	228	3	3	3	NUM
iajs-221	228	4	):	):	PUNCT
iajs-221	228	5	set	set	VERB
iajs-221	228	6	t	t	PROPN
iajs-221	228	7	=	=	PROPN
iajs-221	228	8	t	t	PROPN
iajs-221	228	9	-	-	PUNCT
iajs-221	228	10	pj	pj	PROPN
iajs-221	228	11	*	*	PROPN
iajs-221	228	12	,	,	PUNCT
iajs-221	228	13	n	n	CCONJ
iajs-221	228	14	=	=	PROPN
iajs-221	228	15	n-{j	n-{j	PROPN
iajs-221	228	16	*	*	PUNCT
iajs-221	228	17	}	}	PUNCT
iajs-221	228	18	,	,	PUNCT
iajs-221	228	19	k	k	PROPN
iajs-221	228	20	=	=	NOUN
iajs-221	228	21	k-1	k-1	NOUN
iajs-221	228	22	,	,	PUNCT
iajs-221	228	23	if	if	SCONJ
iajs-221	228	24	k>1	k>1	VERB
iajs-221	228	25	go	go	VERB
iajs-221	228	26	to	to	PART
iajs-221	228	27	step	step	VERB
iajs-221	228	28	(	(	PUNCT
iajs-221	228	29	1	1	NUM
iajs-221	228	30	)	)	PUNCT
iajs-221	228	31	,	,	PUNCT
iajs-221	228	32	otherwise	otherwise	ADV
iajs-221	228	33	go	go	VERB
iajs-221	228	34	to	to	PART
iajs-221	228	35	step	step	VERB
iajs-221	228	36	(	(	PUNCT
iajs-221	228	37	4	4	NUM
iajs-221	228	38	)	)	PUNCT
iajs-221	228	39	.	.	PUNCT
iajs-221	229	1	step	step	NOUN
iajs-221	229	2	(	(	PUNCT
iajs-221	229	3	4	4	NUM
iajs-221	229	4	):	):	PUNCT
iajs-221	229	5	compute	compute	NOUN
iajs-221	229	6	∑cσ(i	∑cσ(i	NOUN
iajs-221	229	7	)	)	PUNCT
iajs-221	229	8	,	,	PUNCT
iajs-221	229	9	∑tσ(i	∑tσ(i	PROPN
iajs-221	229	10	)	)	PUNCT
iajs-221	229	11	,	,	PUNCT
iajs-221	229	12	tmax(σ	tmax(σ	ADP
iajs-221	229	13	)	)	PUNCT
iajs-221	229	14	for	for	ADP
iajs-221	229	15	the	the	DET
iajs-221	229	16	resulting	result	VERB
iajs-221	229	17	sequence	sequence	NOUN
iajs-221	229	18	jobs	job	NOUN
iajs-221	229	19	σ=	σ=	NOUN
iajs-221	229	20	(	(	PUNCT
iajs-221	229	21	σ(1	σ(1	PROPN
iajs-221	229	22	)	)	PUNCT
iajs-221	229	23	,	,	PUNCT
iajs-221	229	24	…	…	PUNCT
iajs-221	229	25	,	,	PUNCT
iajs-221	229	26	σ(n	σ(n	PROPN
iajs-221	229	27	)	)	PUNCT
iajs-221	229	28	)	)	PUNCT
iajs-221	229	29	.	.	PUNCT
iajs-221	230	1	step	step	NOUN
iajs-221	230	2	(	(	PUNCT
iajs-221	230	3	5	5	NUM
iajs-221	230	4	):	):	PUNCT
iajs-221	230	5	put	put	VERB
iajs-221	230	6	∆=tmax(σ)-1	∆=tmax(σ)-1	NOUN
iajs-221	230	7	,	,	PUNCT
iajs-221	230	8	n={1,	n={1,	NUM
iajs-221	230	9	…	…	X
iajs-221	230	10	,n	,n	NOUN
iajs-221	230	11	}	}	PUNCT
iajs-221	230	12	,	,	PUNCT
iajs-221	230	13	k	k	NOUN
iajs-221	230	14	=	=	SYM
iajs-221	230	15	n	n	X
iajs-221	230	16	,	,	PUNCT
iajs-221	230	17	t	t	PROPN
iajs-221	230	18	=	=	SYM
iajs-221	230	19	cmax=∑pi	cmax=∑pi	NOUN
iajs-221	230	20	and	and	CCONJ
iajs-221	230	21	σ=	σ=	NOUN
iajs-221	230	22	(	(	PUNCT
iajs-221	230	23	)	)	PUNCT
iajs-221	230	24	,	,	PUNCT
iajs-221	230	25	go	go	VERB
iajs-221	230	26	to	to	PART
iajs-221	230	27	step	step	VERB
iajs-221	230	28	(	(	PUNCT
iajs-221	230	29	1	1	NUM
iajs-221	230	30	)	)	PUNCT
iajs-221	230	31	.	.	PUNCT
iajs-221	231	1	step	step	NOUN
iajs-221	231	2	(	(	PUNCT
iajs-221	231	3	6	6	NUM
iajs-221	231	4	):	):	PUNCT
iajs-221	231	5	stop	stop	NOUN
iajs-221	231	6	.	.	PUNCT
iajs-221	232	1	example	example	NOUN
iajs-221	232	2	(	(	PUNCT
iajs-221	232	3	6	6	NUM
iajs-221	232	4	):	):	PUNCT
iajs-221	232	5	to	to	PART
iajs-221	232	6	illustrate	illustrate	VERB
iajs-221	232	7	algorithm	algorithm	NOUN
iajs-221	232	8	(	(	PUNCT
iajs-221	232	9	atp	atp	PROPN
iajs-221	232	10	)	)	PUNCT
iajs-221	232	11	,	,	PUNCT
iajs-221	232	12	we	we	PRON
iajs-221	232	13	consider	consider	VERB
iajs-221	232	14	the	the	DET
iajs-221	232	15	problem	problem	NOUN
iajs-221	232	16	(	(	PUNCT
iajs-221	232	17	tp	tp	NOUN
iajs-221	232	18	)	)	PUNCT
iajs-221	232	19	with	with	ADP
iajs-221	232	20	the	the	DET
iajs-221	232	21	following	follow	VERB
iajs-221	232	22	data	datum	NOUN
iajs-221	232	23	:	:	PUNCT
iajs-221	232	24	pi=(4,6,2,5,5	pi=(4,6,2,5,5	NOUN
iajs-221	232	25	)	)	PUNCT
iajs-221	232	26	,	,	PUNCT
iajs-221	232	27	di=(20,9,4,7,10	di=(20,9,4,7,10	PROPN
iajs-221	232	28	)	)	PUNCT
iajs-221	232	29	.	.	PUNCT
iajs-221	233	1	table	table	NOUN
iajs-221	233	2	(	(	PUNCT
iajs-221	233	3	1	1	X
iajs-221	233	4	)	)	PUNCT
iajs-221	233	5	show	show	VERB
iajs-221	233	6	the	the	DET
iajs-221	233	7	results	result	NOUN
iajs-221	233	8	of	of	ADP
iajs-221	233	9	efficient	efficient	ADJ
iajs-221	233	10	solutions	solution	NOUN
iajs-221	233	11	obtained	obtain	VERB
iajs-221	233	12	by	by	ADP
iajs-221	233	13	algorithm	algorithm	NOUN
iajs-221	233	14	(	(	PUNCT
iajs-221	233	15	atp	atp	PROPN
iajs-221	233	16	)	)	PUNCT
iajs-221	233	17	5.3	5.3	NUM
iajs-221	233	18	branch	branch	NOUN
iajs-221	233	19	and	and	CCONJ
iajs-221	233	20	bound	bind	VERB
iajs-221	233	21	algorithm	algorithm	NOUN
iajs-221	233	22	for	for	ADP
iajs-221	233	23	determination	determination	NOUN
iajs-221	233	24	of	of	ADP
iajs-221	233	25	pareto	pareto	ADJ
iajs-221	233	26	points	point	NOUN
iajs-221	233	27	:	:	PUNCT
iajs-221	233	28	we	we	PRON
iajs-221	233	29	now	now	ADV
iajs-221	233	30	propose	propose	VERB
iajs-221	233	31	another	another	DET
iajs-221	233	32	algorithm	algorithm	NOUN
iajs-221	233	33	to	to	PART
iajs-221	233	34	determine	determine	VERB
iajs-221	233	35	the	the	DET
iajs-221	233	36	set	set	NOUN
iajs-221	233	37	of	of	ADP
iajs-221	233	38	efficient	efficient	ADJ
iajs-221	233	39	solutions	solution	NOUN
iajs-221	233	40	for	for	ADP
iajs-221	233	41	the	the	DET
iajs-221	233	42	1//(∑ci,∑ti	1//(∑ci,∑ti	NUM
iajs-221	233	43	,	,	PUNCT
iajs-221	233	44	tmax	tmax	NUM
iajs-221	233	45	)	)	PUNCT
iajs-221	233	46	problem	problem	NOUN
iajs-221	233	47	(	(	PUNCT
iajs-221	233	48	tp	tp	NOUN
iajs-221	233	49	)	)	PUNCT
iajs-221	233	50	.	.	PUNCT
iajs-221	234	1	algorithm	algorithm	NOUN
iajs-221	234	2	(	(	PUNCT
iajs-221	234	3	ztp	ztp	NOUN
iajs-221	234	4	)	)	PUNCT
iajs-221	234	5	for	for	ADP
iajs-221	234	6	finding	find	VERB
iajs-221	234	7	most	most	ADV
iajs-221	234	8	efficient	efficient	ADJ
iajs-221	234	9	solutions	solution	NOUN
iajs-221	234	10	for	for	ADP
iajs-221	234	11	this	this	DET
iajs-221	234	12	problem	problem	NOUN
iajs-221	235	1	,	,	PUNCT
iajs-221	235	2	this	this	DET
iajs-221	235	3	algorithm	algorithm	NOUN
iajs-221	235	4	depends	depend	VERB
iajs-221	235	5	on	on	ADP
iajs-221	235	6	the	the	DET
iajs-221	235	7	techniques	technique	NOUN
iajs-221	235	8	of	of	ADP
iajs-221	235	9	branch	branch	NOUN
iajs-221	235	10	and	and	CCONJ
iajs-221	235	11	bound	bind	VERB
iajs-221	235	12	(	(	PUNCT
iajs-221	235	13	bab	bab	PROPN
iajs-221	235	14	)	)	PUNCT
iajs-221	235	15	method	method	NOUN
iajs-221	235	16	and	and	CCONJ
iajs-221	235	17	the	the	DET
iajs-221	235	18	definition	definition	NOUN
iajs-221	235	19	of	of	ADP
iajs-221	235	20	efficient	efficient	ADJ
iajs-221	235	21	solutions	solution	NOUN
iajs-221	235	22	as	as	SCONJ
iajs-221	235	23	follows	follow	VERB
iajs-221	235	24	:	:	PUNCT
iajs-221	235	25	algorithm	algorithm	NOUN
iajs-221	235	26	(	(	PUNCT
iajs-221	235	27	ztp	ztp	NOUN
iajs-221	235	28	)	)	PUNCT
iajs-221	235	29	for	for	ADP
iajs-221	235	30	finding	find	VERB
iajs-221	235	31	efficient	efficient	ADJ
iajs-221	235	32	solutions	solution	NOUN
iajs-221	235	33	for	for	ADP
iajs-221	235	34	the	the	DET
iajs-221	235	35	problem	problem	NOUN
iajs-221	235	36	1//(∑ci,∑ti	1//(∑ci,∑ti	NUM
iajs-221	235	37	,	,	PUNCT
iajs-221	235	38	tmax	tmax	NUM
iajs-221	235	39	)	)	PUNCT
iajs-221	235	40	(	(	PUNCT
iajs-221	235	41	tp	tp	NOUN
iajs-221	235	42	)	)	PUNCT
iajs-221	235	43	step	step	NOUN
iajs-221	235	44	(	(	PUNCT
iajs-221	235	45	0	0	NUM
iajs-221	235	46	):	):	PUNCT
iajs-221	235	47	find	find	VERB
iajs-221	235	48	the	the	DET
iajs-221	235	49	upper	upper	ADJ
iajs-221	235	50	bound	bound	ADJ
iajs-221	235	51	(	(	PUNCT
iajs-221	235	52	ub	ub	PROPN
iajs-221	235	53	)	)	PUNCT
iajs-221	235	54	by	by	ADP
iajs-221	235	55	spt	spt	PROPN
iajs-221	235	56	rule	rule	NOUN
iajs-221	235	57	,	,	PUNCT
iajs-221	235	58	that	that	PRON
iajs-221	235	59	is	is	AUX
iajs-221	235	60	sequencing	sequence	VERB
iajs-221	235	61	the	the	DET
iajs-221	235	62	jobs	job	NOUN
iajs-221	235	63	in	in	ADP
iajs-221	235	64	nondecreasing	nondecrease	VERB
iajs-221	235	65	order	order	NOUN
iajs-221	235	66	of	of	ADP
iajs-221	235	67	their	their	PRON
iajs-221	235	68	processing	processing	NOUN
iajs-221	235	69	time	time	NOUN
iajs-221	235	70	pi	pi	NOUN
iajs-221	235	71	(	(	PUNCT
iajs-221	235	72	i=1,2,	i=1,2,	NOUN
iajs-221	235	73	…	…	X
iajs-221	235	74	,n	,n	NOUN
iajs-221	235	75	)	)	PUNCT
iajs-221	235	76	for	for	ADP
iajs-221	235	77	this	this	DET
iajs-221	235	78	order	order	NOUN
iajs-221	235	79	σ	σ	X
iajs-221	235	80	compute	compute	PROPN
iajs-221	235	81	∑cσ(i	∑cσ(i	PROPN
iajs-221	235	82	)	)	PUNCT
iajs-221	235	83	,	,	PUNCT
iajs-221	235	84	∑tσ(i	∑tσ(i	PROPN
iajs-221	235	85	)	)	PUNCT
iajs-221	235	86	and	and	CCONJ
iajs-221	235	87	tmax(σ	tmax(σ	ADP
iajs-221	235	88	)	)	PUNCT
iajs-221	235	89	and	and	CCONJ
iajs-221	235	90	set	set	VERB
iajs-221	235	91	ub=(∑ci,∑ti	ub=(∑ci,∑ti	PROPN
iajs-221	235	92	,	,	PUNCT
iajs-221	235	93	tmax	tmax	PRON
iajs-221	235	94	)	)	PUNCT
iajs-221	235	95	at	at	ADP
iajs-221	235	96	the	the	DET
iajs-221	235	97	parent	parent	NOUN
iajs-221	235	98	node	node	NOUN
iajs-221	235	99	of	of	ADP
iajs-221	235	100	the	the	DET
iajs-221	235	101	search	search	NOUN
iajs-221	235	102	tree	tree	NOUN
iajs-221	235	103	.	.	PUNCT
iajs-221	236	1	ub	ub	PROPN
iajs-221	236	2	is	be	AUX
iajs-221	236	3	efficient	efficient	ADJ
iajs-221	236	4	by	by	ADP
iajs-221	236	5	proposition	proposition	NOUN
iajs-221	236	6	(	(	PUNCT
iajs-221	236	7	1	1	NUM
iajs-221	236	8	)	)	PUNCT
iajs-221	236	9	and	and	CCONJ
iajs-221	236	10	add	add	VERB
iajs-221	236	11	this	this	DET
iajs-221	236	12	efficient	efficient	ADJ
iajs-221	236	13	solution	solution	NOUN
iajs-221	236	14	to	to	ADP
iajs-221	236	15	the	the	DET
iajs-221	236	16	set	set	NOUN
iajs-221	236	17	of	of	ADP
iajs-221	236	18	solutions	solution	NOUN
iajs-221	236	19	se	se	X
iajs-221	236	20	.	.	PUNCT
iajs-221	237	1	also	also	ADV
iajs-221	237	2	if	if	SCONJ
iajs-221	237	3	tmax(edd)=0	tmax(edd)=0	ADJ
iajs-221	237	4	,	,	PUNCT
iajs-221	237	5	then	then	ADV
iajs-221	237	6	there	there	PRON
iajs-221	237	7	exists	exist	VERB
iajs-221	237	8	an	an	DET
iajs-221	237	9	efficient	efficient	ADJ
iajs-221	237	10	sequence	sequence	NOUN
iajs-221	237	11	obtained	obtain	VERB
iajs-221	237	12	by	by	ADP
iajs-221	237	13	proposition	proposition	NOUN
iajs-221	237	14	(	(	PUNCT
iajs-221	237	15	3	3	NUM
iajs-221	237	16	)	)	PUNCT
iajs-221	237	17	,	,	PUNCT
iajs-221	237	18	and	and	CCONJ
iajs-221	237	19	add	add	VERB
iajs-221	237	20	this	this	DET
iajs-221	237	21	efficient	efficient	ADJ
iajs-221	237	22	solution	solution	NOUN
iajs-221	237	23	to	to	ADP
iajs-221	237	24	the	the	DET
iajs-221	237	25	set	set	NOUN
iajs-221	237	26	se	se	PROPN
iajs-221	237	27	.	.	PUNCT
iajs-221	237	28	step	step	NOUN
iajs-221	237	29	(	(	PUNCT
iajs-221	237	30	1	1	NUM
iajs-221	237	31	):	):	PUNCT
iajs-221	237	32	for	for	ADP
iajs-221	237	33	each	each	DET
iajs-221	237	34	node	node	NOUN
iajs-221	237	35	in	in	ADP
iajs-221	237	36	the	the	DET
iajs-221	237	37	search	search	NOUN
iajs-221	237	38	tree	tree	NOUN
iajs-221	237	39	of	of	ADP
iajs-221	237	40	bab	bab	PROPN
iajs-221	237	41	method	method	NOUN
iajs-221	237	42	,	,	PUNCT
iajs-221	237	43	i.e	i.e	X
iajs-221	237	44	,	,	PUNCT
iajs-221	237	45	for	for	ADP
iajs-221	237	46	each	each	DET
iajs-221	237	47	partial	partial	ADJ
iajs-221	237	48	sequence	sequence	NOUN
iajs-221	237	49	of	of	ADP
iajs-221	237	50	jobs	job	NOUN
iajs-221	237	51	σ	σ	PROPN
iajs-221	237	52	compute	compute	PROPN
iajs-221	237	53	a	a	DET
iajs-221	237	54	lower	lower	ADV
iajs-221	237	55	bound	bind	VERB
iajs-221	237	56	lb(σ	lb(σ	NOUN
iajs-221	237	57	)	)	PUNCT
iajs-221	237	58	as	as	SCONJ
iajs-221	237	59	follows	follow	VERB
iajs-221	237	60	:	:	PUNCT
iajs-221	237	61	lb(σ)=cost	lb(σ)=cost	NUM
iajs-221	237	62	of	of	ADP
iajs-221	237	63	sequence	sequence	NOUN
iajs-221	237	64	jobs	job	NOUN
iajs-221	237	65	(	(	PUNCT
iajs-221	237	66	σ	σ	NOUN
iajs-221	237	67	)	)	PUNCT
iajs-221	237	68	for	for	ADP
iajs-221	237	69	the	the	DET
iajs-221	237	70	objective	objective	ADJ
iajs-221	237	71	functions	function	NOUN
iajs-221	237	72	+	+	CCONJ
iajs-221	237	73	cost	cost	NOUN
iajs-221	237	74	of	of	ADP
iajs-221	237	75	unsequence	unsequence	NOUN
iajs-221	237	76	jobs	job	NOUN
iajs-221	237	77	obtained	obtain	VERB
iajs-221	237	78	by	by	ADP
iajs-221	237	79	sequence	sequence	NOUN
iajs-221	237	80	the	the	DET
iajs-221	237	81	jobs	job	NOUN
iajs-221	237	82	in	in	ADP
iajs-221	237	83	spt	spt	PROPN
iajs-221	237	84	rule	rule	NOUN
iajs-221	237	85	.	.	PUNCT
iajs-221	238	1	step	step	NOUN
iajs-221	238	2	(	(	PUNCT
iajs-221	238	3	2	2	NUM
iajs-221	238	4	):	):	PUNCT
iajs-221	238	5	branch	branch	NOUN
iajs-221	238	6	from	from	ADP
iajs-221	238	7	each	each	DET
iajs-221	238	8	node	node	NOUN
iajs-221	238	9	with	with	ADP
iajs-221	238	10	lb	lb	ADP
iajs-221	238	11	ub	ub	PROPN
iajs-221	238	12	.	.	PROPN
iajs-221	238	13	step	step	NOUN
iajs-221	238	14	(	(	PUNCT
iajs-221	238	15	3	3	NUM
iajs-221	238	16	):	):	PUNCT
iajs-221	238	17	at	at	ADP
iajs-221	238	18	the	the	DET
iajs-221	238	19	last	last	ADJ
iajs-221	238	20	level	level	NOUN
iajs-221	238	21	of	of	ADP
iajs-221	238	22	the	the	DET
iajs-221	238	23	bab	bab	PROPN
iajs-221	238	24	method	method	NOUN
iajs-221	238	25	,	,	PUNCT
iajs-221	238	26	we	we	PRON
iajs-221	238	27	get	get	VERB
iajs-221	238	28	a	a	DET
iajs-221	238	29	set	set	NOUN
iajs-221	238	30	of	of	ADP
iajs-221	238	31	solutions	solution	NOUN
iajs-221	238	32	,	,	PUNCT
iajs-221	238	33	if	if	SCONJ
iajs-221	238	34	(	(	PUNCT
iajs-221	238	35	∑ci,∑ti	∑ci,∑ti	ADJ
iajs-221	238	36	,	,	PUNCT
iajs-221	238	37	tmax	tmax	PRON
iajs-221	238	38	)	)	PUNCT
iajs-221	238	39	denote	denote	VERB
iajs-221	238	40	the	the	DET
iajs-221	238	41	outcome	outcome	NOUN
iajs-221	238	42	is	be	AUX
iajs-221	238	43	added	add	VERB
iajs-221	238	44	to	to	ADP
iajs-221	238	45	the	the	DET
iajs-221	238	46	set	set	NOUN
iajs-221	238	47	se	se	PROPN
iajs-221	238	48	unless	unless	SCONJ
iajs-221	238	49	it	it	PRON
iajs-221	238	50	is	be	AUX
iajs-221	238	51	dominated	dominate	VERB
iajs-221	238	52	by	by	ADP
iajs-221	238	53	the	the	DET
iajs-221	238	54	previously	previously	ADV
iajs-221	238	55	obtained	obtain	VERB
iajs-221	238	56	efficient	efficient	ADJ
iajs-221	238	57	solutions	solution	NOUN
iajs-221	238	58	in	in	ADP
iajs-221	238	59	se	se	PROPN
iajs-221	238	60	.	.	PUNCT
iajs-221	239	1	step	step	NOUN
iajs-221	239	2	(	(	PUNCT
iajs-221	239	3	4	4	NUM
iajs-221	239	4	):	):	PUNCT
iajs-221	239	5	stop	stop	NOUN
iajs-221	239	6	.	.	PUNCT
iajs-221	240	1	note	note	VERB
iajs-221	240	2	that	that	SCONJ
iajs-221	240	3	the	the	DET
iajs-221	240	4	set	set	NOUN
iajs-221	240	5	of	of	ADP
iajs-221	240	6	efficient	efficient	ADJ
iajs-221	240	7	solutions	solution	NOUN
iajs-221	240	8	(	(	PUNCT
iajs-221	240	9	se	se	X
iajs-221	240	10	)	)	PUNCT
iajs-221	240	11	is	be	AUX
iajs-221	240	12	update	update	NOUN
iajs-221	240	13	with	with	ADP
iajs-221	240	14	the	the	DET
iajs-221	240	15	solutions	solution	NOUN
iajs-221	240	16	σ	σ	PROPN
iajs-221	240	17	s	s	X
iajs-221	240	18	(	(	PUNCT
iajs-221	240	19	set	set	NOUN
iajs-221	240	20	of	of	ADP
iajs-221	240	21	all	all	DET
iajs-221	240	22	feasible	feasible	ADJ
iajs-221	240	23	solutions	solution	NOUN
iajs-221	240	24	)	)	PUNCT
iajs-221	240	25	.	.	PUNCT
iajs-221	241	1	a	a	DET
iajs-221	241	2	solution	solution	NOUN
iajs-221	241	3	σ	σ	PROPN
iajs-221	241	4	is	be	AUX
iajs-221	241	5	added	add	VERB
iajs-221	241	6	to	to	ADP
iajs-221	241	7	the	the	DET
iajs-221	241	8	set	set	NOUN
iajs-221	241	9	se	se	PROPN
iajs-221	241	10	if	if	SCONJ
iajs-221	241	11	σ∉se	σ∉se	PROPN
iajs-221	241	12	and	and	CCONJ
iajs-221	241	13	it	it	PRON
iajs-221	241	14	is	be	AUX
iajs-221	241	15	not	not	PART
iajs-221	241	16	dominated	dominate	VERB
iajs-221	241	17	by	by	ADP
iajs-221	241	18	any	any	DET
iajs-221	241	19	solution	solution	NOUN
iajs-221	241	20	of	of	ADP
iajs-221	241	21	se	se	PROPN
iajs-221	241	22	.	.	PUNCT
iajs-221	242	1	the	the	DET
iajs-221	242	2	solutions	solution	NOUN
iajs-221	242	3	of	of	ADP
iajs-221	242	4	se	se	PROPN
iajs-221	242	5	dominated	dominate	VERB
iajs-221	242	6	by	by	ADP
iajs-221	242	7	σ	σ	PROPN
iajs-221	242	8	are	be	AUX
iajs-221	242	9	removed	remove	VERB
iajs-221	242	10	from	from	ADP
iajs-221	242	11	se	se	ADV
iajs-221	242	12	.	.	PUNCT
iajs-221	243	1	in	in	ADP
iajs-221	243	2	this	this	DET
iajs-221	243	3	study	study	NOUN
iajs-221	243	4	,	,	PUNCT
iajs-221	243	5	the	the	DET
iajs-221	243	6	algorithm	algorithm	NOUN
iajs-221	243	7	(	(	PUNCT
iajs-221	243	8	ztp	ztp	NOUN
iajs-221	243	9	)	)	PUNCT
iajs-221	243	10	stops	stop	VERB
iajs-221	243	11	when	when	SCONJ
iajs-221	243	12	maximum	maximum	ADJ
iajs-221	243	13	cpu	cpu	NOUN
iajs-221	243	14	time	time	NOUN
iajs-221	243	15	is	be	AUX
iajs-221	243	16	reached	reach	VERB
iajs-221	243	17	(	(	PUNCT
iajs-221	243	18	1800	1800	NUM
iajs-221	243	19	sec	sec	PROPN
iajs-221	243	20	.	.	PROPN
iajs-221	243	21	)	)	PUNCT
iajs-221	243	22	.	.	PUNCT
iajs-221	244	1	the	the	DET
iajs-221	244	2	set	set	PROPN
iajs-221	244	3	se	se	PROPN
iajs-221	244	4	of	of	ADP
iajs-221	244	5	nondominated	nondominated	ADJ
iajs-221	244	6	solutions	solution	NOUN
iajs-221	244	7	is	be	AUX
iajs-221	244	8	initialized	initialize	VERB
iajs-221	244	9	with	with	ADP
iajs-221	244	10	a	a	DET
iajs-221	244	11	solution	solution	NOUN
iajs-221	244	12	σ1	σ1	NOUN
iajs-221	244	13	(	(	PUNCT
iajs-221	244	14	spt	spt	PROPN
iajs-221	244	15	rule	rule	NOUN
iajs-221	244	16	)	)	PUNCT
iajs-221	244	17	in	in	ADP
iajs-221	244	18	which	which	PRON
iajs-221	244	19	the	the	DET
iajs-221	244	20	jobs	job	NOUN
iajs-221	244	21	are	be	AUX
iajs-221	244	22	arranged	arrange	VERB
iajs-221	244	23	in	in	ADP
iajs-221	244	24	non	non	ADJ
iajs-221	244	25	-	-	ADJ
iajs-221	244	26	decreasing	decrease	VERB
iajs-221	244	27	order	order	NOUN
iajs-221	244	28	of	of	ADP
iajs-221	244	29	the	the	DET
iajs-221	244	30	processing	processing	NOUN
iajs-221	244	31	time	time	NOUN
iajs-221	244	32	.	.	PUNCT
iajs-221	245	1	example	example	NOUN
iajs-221	245	2	(	(	PUNCT
iajs-221	245	3	7	7	NUM
iajs-221	245	4	):	):	PUNCT
iajs-221	245	5	to	to	PART
iajs-221	245	6	illustrate	illustrate	VERB
iajs-221	245	7	algorithm	algorithm	NOUN
iajs-221	245	8	(	(	PUNCT
iajs-221	245	9	ztp	ztp	NOUN
iajs-221	245	10	)	)	PUNCT
iajs-221	245	11	,	,	PUNCT
iajs-221	245	12	we	we	PRON
iajs-221	245	13	consider	consider	VERB
iajs-221	245	14	again	again	ADV
iajs-221	245	15	example	example	NOUN
iajs-221	245	16	(	(	PUNCT
iajs-221	245	17	6	6	NUM
iajs-221	245	18	)	)	PUNCT
iajs-221	245	19	for	for	ADP
iajs-221	245	20	the	the	DET
iajs-221	245	21	problem	problem	NOUN
iajs-221	245	22	(	(	PUNCT
iajs-221	245	23	tp	tp	NOUN
iajs-221	245	24	)	)	PUNCT
iajs-221	245	25	with	with	ADP
iajs-221	245	26	the	the	DET
iajs-221	245	27	following	follow	VERB
iajs-221	245	28	data	datum	NOUN
iajs-221	245	29	:	:	PUNCT
iajs-221	245	30	164	164	NUM
iajs-221	245	31	|	|	NOUN
iajs-221	245	32	mathematics	mathematic	NOUN
iajs-221	245	33	٢٠١٥	٢٠١٥	NUM
iajs-221	245	34	)	)	PUNCT
iajs-221	245	35	عام	عام	ADP
iajs-221	245	36	٢العدد	٢العدد	PROPN
iajs-221	245	37	(	(	PUNCT
iajs-221	245	38	٢٨مجلة	٢٨مجلة	X
iajs-221	245	39	ابن	ابن	PROPN
iajs-221	245	40	الھيثم	الھيثم	PROPN
iajs-221	245	41	للعلوم	للعلوم	PROPN
iajs-221	245	42	الصرفة	الصرفة	PROPN
iajs-221	245	43	والتطبيقية	والتطبيقية	PRON
iajs-221	245	44	المجلد	المجلد	VERB
iajs-221	245	45	ibn	ibn	PROPN
iajs-221	245	46	al	al	PROPN
iajs-221	245	47	-	-	PUNCT
iajs-221	245	48	haitham	haitham	PROPN
iajs-221	245	49	.	.	PUNCT
iajs-221	246	1	j.	j.	PROPN
iajs-221	246	2	for	for	ADP
iajs-221	246	3	pure	pure	PROPN
iajs-221	246	4	&	&	CCONJ
iajs-221	246	5	appl	appl	PROPN
iajs-221	246	6	.	.	PUNCT
iajs-221	247	1	sci	sci	PROPN
iajs-221	247	2	.	.	PUNCT
iajs-221	247	3	vol	vol	NOUN
iajs-221	247	4	.	.	PROPN
iajs-221	248	1	28	28	NUM
iajs-221	248	2	(	(	PUNCT
iajs-221	248	3	2	2	NUM
iajs-221	248	4	)	)	PUNCT
iajs-221	248	5	2015	2015	NUM
iajs-221	248	6	pi=(4,6,2,5,5	pi=(4,6,2,5,5	NOUN
iajs-221	248	7	)	)	PUNCT
iajs-221	248	8	,	,	PUNCT
iajs-221	248	9	di=(20,9,4,7,10	di=(20,9,4,7,10	PROPN
iajs-221	248	10	)	)	PUNCT
iajs-221	248	11	.	.	PUNCT
iajs-221	249	1	using	use	VERB
iajs-221	249	2	algorithm	algorithm	NOUN
iajs-221	249	3	(	(	PUNCT
iajs-221	249	4	ztp	ztp	NOUN
iajs-221	249	5	)	)	PUNCT
iajs-221	249	6	to	to	PART
iajs-221	249	7	find	find	VERB
iajs-221	249	8	the	the	DET
iajs-221	249	9	set	set	NOUN
iajs-221	249	10	of	of	ADP
iajs-221	249	11	efficient	efficient	ADJ
iajs-221	249	12	solutions	solution	NOUN
iajs-221	249	13	.	.	PUNCT
iajs-221	250	1	it	it	PRON
iajs-221	250	2	is	be	AUX
iajs-221	250	3	clear	clear	ADJ
iajs-221	250	4	from	from	ADP
iajs-221	250	5	table	table	NOUN
iajs-221	250	6	(	(	PUNCT
iajs-221	250	7	2	2	NUM
iajs-221	250	8	)	)	PUNCT
iajs-221	250	9	that	that	DET
iajs-221	250	10	algorithm	algorithm	NOUN
iajs-221	250	11	(	(	PUNCT
iajs-221	250	12	ztp	ztp	NOUN
iajs-221	250	13	)	)	PUNCT
iajs-221	250	14	generating	generate	VERB
iajs-221	250	15	all	all	DET
iajs-221	250	16	efficient	efficient	ADJ
iajs-221	250	17	solutions	solution	NOUN
iajs-221	250	18	(	(	PUNCT
iajs-221	250	19	see	see	VERB
iajs-221	250	20	table	table	NOUN
iajs-221	250	21	(	(	PUNCT
iajs-221	250	22	1	1	NUM
iajs-221	250	23	)	)	PUNCT
iajs-221	250	24	)	)	PUNCT
iajs-221	250	25	for	for	ADP
iajs-221	250	26	problem	problem	NOUN
iajs-221	250	27	(	(	PUNCT
iajs-221	250	28	tp	tp	NOUN
iajs-221	250	29	)	)	PUNCT
iajs-221	250	30	.	.	PUNCT
iajs-221	251	1	6	6	X
iajs-221	251	2	.	.	PUNCT
iajs-221	251	3	computational	computational	ADJ
iajs-221	251	4	experiments	experiment	NOUN
iajs-221	251	5	:	:	PUNCT
iajs-221	251	6	6.1	6.1	NUM
iajs-221	251	7	problem	problem	NOUN
iajs-221	251	8	instances	instance	VERB
iajs-221	251	9	the	the	DET
iajs-221	251	10	performance	performance	NOUN
iajs-221	251	11	of	of	ADP
iajs-221	251	12	the	the	DET
iajs-221	251	13	bab	bab	PROPN
iajs-221	251	14	algorithm	algorithm	NOUN
iajs-221	251	15	for	for	ADP
iajs-221	251	16	the	the	DET
iajs-221	251	17	problem	problem	NOUN
iajs-221	251	18	(	(	PUNCT
iajs-221	251	19	tp7	tp7	NOUN
iajs-221	251	20	)	)	PUNCT
iajs-221	251	21	is	be	AUX
iajs-221	251	22	compared	compare	VERB
iajs-221	251	23	on	on	ADP
iajs-221	251	24	5	5	NUM
iajs-221	251	25	problem	problem	NOUN
iajs-221	251	26	instances	instance	NOUN
iajs-221	251	27	for	for	ADP
iajs-221	251	28	each	each	DET
iajs-221	251	29	n	n	NOUN
iajs-221	251	30	with	with	ADP
iajs-221	251	31	the	the	DET
iajs-221	251	32	complete	complete	ADJ
iajs-221	251	33	enumeration	enumeration	NOUN
iajs-221	251	34	method	method	NOUN
iajs-221	251	35	(	(	PUNCT
iajs-221	251	36	cem	cem	NOUN
iajs-221	251	37	)	)	PUNCT
iajs-221	251	38	.	.	PUNCT
iajs-221	252	1	the	the	DET
iajs-221	252	2	sizes	size	NOUN
iajs-221	252	3	of	of	ADP
iajs-221	252	4	these	these	DET
iajs-221	252	5	instances	instance	NOUN
iajs-221	252	6	are	be	AUX
iajs-221	252	7	n=4,5,6,7,8,9,10	n=4,5,6,7,8,9,10	NOUN
iajs-221	252	8	and	and	CCONJ
iajs-221	252	9	the	the	DET
iajs-221	252	10	large	large	ADJ
iajs-221	252	11	sizes	size	NOUN
iajs-221	252	12	are	be	AUX
iajs-221	252	13	n=11,12,13,14,15,16,17,18	n=11,12,13,14,15,16,17,18	PRON
iajs-221	252	14	.	.	PUNCT
iajs-221	253	1	the	the	DET
iajs-221	253	2	problems	problem	NOUN
iajs-221	253	3	were	be	AUX
iajs-221	253	4	generated	generate	VERB
iajs-221	253	5	randomly	randomly	ADV
iajs-221	253	6	,	,	PUNCT
iajs-221	253	7	similar	similar	ADJ
iajs-221	253	8	to	to	ADP
iajs-221	253	9	that	that	PRON
iajs-221	253	10	of	of	ADP
iajs-221	253	11	[	[	X
iajs-221	253	12	2	2	NUM
iajs-221	253	13	]	]	PUNCT
iajs-221	253	14	.	.	PUNCT
iajs-221	254	1	for	for	ADP
iajs-221	254	2	each	each	DET
iajs-221	254	3	job	job	NOUN
iajs-221	254	4	j	j	PROPN
iajs-221	254	5	,	,	PUNCT
iajs-221	254	6	the	the	DET
iajs-221	254	7	processing	processing	NOUN
iajs-221	254	8	time	time	NOUN
iajs-221	254	9	pj	pj	PROPN
iajs-221	254	10	was	be	AUX
iajs-221	254	11	uniformly	uniformly	ADV
iajs-221	254	12	generated	generate	VERB
iajs-221	254	13	from	from	ADP
iajs-221	254	14	the	the	DET
iajs-221	254	15	uniform	uniform	ADJ
iajs-221	254	16	distribution	distribution	NOUN
iajs-221	254	17	[	[	X
iajs-221	254	18	1,10	1,10	NUM
iajs-221	254	19	]	]	PUNCT
iajs-221	254	20	.	.	PUNCT
iajs-221	255	1	also	also	ADV
iajs-221	255	2	,	,	PUNCT
iajs-221	255	3	for	for	ADP
iajs-221	255	4	each	each	DET
iajs-221	255	5	job	job	NOUN
iajs-221	255	6	j	j	PROPN
iajs-221	255	7	,	,	PUNCT
iajs-221	255	8	an	an	DET
iajs-221	255	9	integer	integer	NOUN
iajs-221	255	10	due	due	ADJ
iajs-221	255	11	date	date	NOUN
iajs-221	255	12	dj	dj	NOUN
iajs-221	255	13	is	be	AUX
iajs-221	255	14	generated	generate	VERB
iajs-221	255	15	from	from	ADP
iajs-221	255	16	the	the	DET
iajs-221	255	17	uniform	uniform	ADJ
iajs-221	255	18	distribution	distribution	NOUN
iajs-221	255	19	[	[	X
iajs-221	255	20	(	(	PUNCT
iajs-221	255	21	1	1	NUM
iajs-221	255	22	-	-	PUNCT
iajs-221	255	23	tf	tf	NUM
iajs-221	255	24	-	-	PUNCT
iajs-221	255	25	rdd/2)tp	rdd/2)tp	NOUN
iajs-221	255	26	,	,	PUNCT
iajs-221	255	27	(	(	PUNCT
iajs-221	255	28	1tf+rdd/2)tp	1tf+rdd/2)tp	NUM
iajs-221	255	29	]	]	PUNCT
iajs-221	255	30	,	,	PUNCT
iajs-221	255	31	where	where	SCONJ
iajs-221	255	32	tp	tp	NOUN
iajs-221	255	33	is	be	AUX
iajs-221	255	34	the	the	DET
iajs-221	255	35	total	total	ADJ
iajs-221	255	36	processing	processing	NOUN
iajs-221	255	37	time	time	NOUN
iajs-221	255	38	of	of	ADP
iajs-221	255	39	all	all	DET
iajs-221	255	40	the	the	DET
iajs-221	255	41	jobs	job	NOUN
iajs-221	255	42	,	,	PUNCT
iajs-221	255	43	tf	tf	PROPN
iajs-221	255	44	is	be	AUX
iajs-221	255	45	the	the	DET
iajs-221	255	46	tardiness	tardiness	ADJ
iajs-221	255	47	factor	factor	NOUN
iajs-221	255	48	,	,	PUNCT
iajs-221	255	49	and	and	CCONJ
iajs-221	255	50	rdd	rdd	NOUN
iajs-221	255	51	is	be	AUX
iajs-221	255	52	the	the	DET
iajs-221	255	53	relative	relative	ADJ
iajs-221	255	54	range	range	NOUN
iajs-221	255	55	of	of	ADP
iajs-221	255	56	the	the	DET
iajs-221	255	57	due	due	ADJ
iajs-221	255	58	dates	date	NOUN
iajs-221	255	59	.	.	PUNCT
iajs-221	256	1	for	for	ADP
iajs-221	256	2	the	the	DET
iajs-221	256	3	two	two	NUM
iajs-221	256	4	parameters	parameter	NOUN
iajs-221	256	5	tf	tf	X
iajs-221	256	6	and	and	CCONJ
iajs-221	256	7	rdd	rdd	NOUN
iajs-221	256	8	,	,	PUNCT
iajs-221	256	9	the	the	DET
iajs-221	256	10	values	value	NOUN
iajs-221	256	11	0.2	0.2	NUM
iajs-221	256	12	,	,	PUNCT
iajs-221	256	13	0.4	0.4	NUM
iajs-221	256	14	,	,	PUNCT
iajs-221	256	15	0.6	0.6	NUM
iajs-221	256	16	,	,	PUNCT
iajs-221	256	17	0.8	0.8	NUM
iajs-221	256	18	,	,	PUNCT
iajs-221	256	19	1.0	1.0	NUM
iajs-221	256	20	are	be	AUX
iajs-221	256	21	considered	consider	VERB
iajs-221	256	22	.	.	PUNCT
iajs-221	257	1	for	for	ADP
iajs-221	257	2	each	each	DET
iajs-221	257	3	selected	select	VERB
iajs-221	257	4	value	value	NOUN
iajs-221	257	5	of	of	ADP
iajs-221	257	6	n	n	CCONJ
iajs-221	257	7	,	,	PUNCT
iajs-221	257	8	one	one	NUM
iajs-221	257	9	problem	problem	NOUN
iajs-221	257	10	was	be	AUX
iajs-221	257	11	generated	generate	VERB
iajs-221	257	12	for	for	ADP
iajs-221	257	13	each	each	PRON
iajs-221	257	14	of	of	ADP
iajs-221	257	15	the	the	DET
iajs-221	257	16	five	five	NUM
iajs-221	257	17	values	value	NOUN
iajs-221	257	18	of	of	ADP
iajs-221	257	19	parameters	parameter	NOUN
iajs-221	257	20	producing	produce	VERB
iajs-221	257	21	5	5	NUM
iajs-221	257	22	problems	problem	NOUN
iajs-221	257	23	.	.	PUNCT
iajs-221	258	1	whenever	whenever	SCONJ
iajs-221	258	2	a	a	DET
iajs-221	258	3	problem	problem	NOUN
iajs-221	258	4	remained	remain	VERB
iajs-221	258	5	unsolved	unsolved	ADJ
iajs-221	258	6	within	within	ADP
iajs-221	258	7	the	the	DET
iajs-221	258	8	time	time	NOUN
iajs-221	258	9	limit	limit	NOUN
iajs-221	258	10	of	of	ADP
iajs-221	258	11	1800	1800	NUM
iajs-221	258	12	seconds	second	NOUN
iajs-221	258	13	,	,	PUNCT
iajs-221	258	14	computation	computation	NOUN
iajs-221	258	15	was	be	AUX
iajs-221	258	16	abandoned	abandon	VERB
iajs-221	258	17	for	for	ADP
iajs-221	258	18	that	that	DET
iajs-221	258	19	problem	problem	NOUN
iajs-221	258	20	.	.	PUNCT
iajs-221	259	1	also	also	ADV
iajs-221	259	2	the	the	DET
iajs-221	259	3	algorithms	algorithm	NOUN
iajs-221	259	4	(	(	PUNCT
iajs-221	259	5	atp	atp	PROPN
iajs-221	259	6	)	)	PUNCT
iajs-221	259	7	and	and	CCONJ
iajs-221	259	8	(	(	PUNCT
iajs-221	259	9	ztp	ztp	NOUN
iajs-221	259	10	)	)	PUNCT
iajs-221	259	11	were	be	AUX
iajs-221	259	12	tested	test	VERB
iajs-221	259	13	on	on	ADP
iajs-221	259	14	the	the	DET
iajs-221	259	15	problem	problem	NOUN
iajs-221	259	16	(	(	PUNCT
iajs-221	259	17	tp	tp	NOUN
iajs-221	259	18	)	)	PUNCT
iajs-221	259	19	.	.	PUNCT
iajs-221	260	1	the	the	DET
iajs-221	260	2	cardinal	cardinal	ADJ
iajs-221	260	3	measure	measure	NOUN
iajs-221	260	4	is	be	AUX
iajs-221	260	5	used	use	VERB
iajs-221	260	6	for	for	ADP
iajs-221	260	7	each	each	DET
iajs-221	260	8	algorithm	algorithm	NOUN
iajs-221	260	9	.	.	PUNCT
iajs-221	261	1	we	we	PRON
iajs-221	261	2	compare	compare	VERB
iajs-221	261	3	the	the	DET
iajs-221	261	4	number	number	NOUN
iajs-221	261	5	of	of	ADP
iajs-221	261	6	efficient	efficient	ADJ
iajs-221	261	7	(	(	PUNCT
iajs-221	261	8	non	non	X
iajs-221	261	9	dominated	dominated	ADJ
iajs-221	261	10	)	)	PUNCT
iajs-221	261	11	solutions	solution	NOUN
iajs-221	261	12	that	that	PRON
iajs-221	261	13	obtained	obtain	VERB
iajs-221	261	14	by	by	ADP
iajs-221	261	15	the	the	DET
iajs-221	261	16	two	two	NUM
iajs-221	261	17	algorithms	algorithm	NOUN
iajs-221	261	18	(	(	PUNCT
iajs-221	261	19	atp	atp	PROPN
iajs-221	261	20	)	)	PUNCT
iajs-221	261	21	and	and	CCONJ
iajs-221	261	22	(	(	PUNCT
iajs-221	261	23	ztp	ztp	NOUN
iajs-221	261	24	)	)	PUNCT
iajs-221	261	25	.	.	PUNCT
iajs-221	262	1	we	we	PRON
iajs-221	262	2	denoted	denote	VERB
iajs-221	262	3	by	by	ADP
iajs-221	262	4	se1	se1	PROPN
iajs-221	262	5	and	and	CCONJ
iajs-221	262	6	se2	se2	NOUN
iajs-221	262	7	the	the	DET
iajs-221	262	8	set	set	NOUN
iajs-221	262	9	of	of	ADP
iajs-221	262	10	efficient	efficient	ADJ
iajs-221	262	11	solutions	solution	NOUN
iajs-221	262	12	(	(	PUNCT
iajs-221	262	13	approximated	approximate	VERB
iajs-221	262	14	pareto	pareto	ADJ
iajs-221	262	15	fronts	front	NOUN
iajs-221	262	16	)	)	PUNCT
iajs-221	262	17	obtained	obtain	VERB
iajs-221	262	18	by	by	ADP
iajs-221	262	19	the	the	DET
iajs-221	262	20	algorithms	algorithm	NOUN
iajs-221	262	21	(	(	PUNCT
iajs-221	262	22	atp	atp	PROPN
iajs-221	262	23	)	)	PUNCT
iajs-221	262	24	and	and	CCONJ
iajs-221	262	25	(	(	PUNCT
iajs-221	262	26	ztp	ztp	NOUN
iajs-221	262	27	)	)	PUNCT
iajs-221	262	28	respectively	respectively	ADV
iajs-221	262	29	.	.	PUNCT
iajs-221	263	1	it	it	PRON
iajs-221	263	2	is	be	AUX
iajs-221	263	3	clear	clear	ADJ
iajs-221	263	4	that	that	SCONJ
iajs-221	263	5	the	the	DET
iajs-221	263	6	optimal	optimal	ADJ
iajs-221	263	7	pareto	pareto	ADJ
iajs-221	263	8	front	front	NOUN
iajs-221	263	9	for	for	ADP
iajs-221	263	10	our	our	PRON
iajs-221	263	11	problem	problem	NOUN
iajs-221	263	12	(	(	PUNCT
iajs-221	263	13	tp	tp	NOUN
iajs-221	263	14	)	)	PUNCT
iajs-221	263	15	is	be	AUX
iajs-221	263	16	not	not	PART
iajs-221	263	17	known	know	VERB
iajs-221	263	18	,	,	PUNCT
iajs-221	263	19	it	it	PRON
iajs-221	263	20	is	be	AUX
iajs-221	263	21	only	only	ADV
iajs-221	263	22	known	know	VERB
iajs-221	263	23	for	for	ADP
iajs-221	263	24	small	small	ADJ
iajs-221	263	25	n≤10	n≤10	NOUN
iajs-221	263	26	,	,	PUNCT
iajs-221	263	27	which	which	PRON
iajs-221	263	28	is	be	AUX
iajs-221	263	29	given	give	VERB
iajs-221	263	30	by	by	ADP
iajs-221	263	31	complete	complete	ADJ
iajs-221	263	32	enumeration	enumeration	NOUN
iajs-221	263	33	method	method	NOUN
iajs-221	263	34	(	(	PUNCT
iajs-221	263	35	cem	cem	NOUN
iajs-221	263	36	)	)	PUNCT
iajs-221	263	37	.	.	PUNCT
iajs-221	264	1	the	the	DET
iajs-221	264	2	performance	performance	NOUN
iajs-221	264	3	of	of	ADP
iajs-221	264	4	an	an	DET
iajs-221	264	5	algorithm	algorithm	NOUN
iajs-221	264	6	is	be	AUX
iajs-221	264	7	then	then	ADV
iajs-221	264	8	measured	measure	VERB
iajs-221	264	9	in	in	ADP
iajs-221	264	10	term	term	NOUN
iajs-221	264	11	of	of	ADP
iajs-221	264	12	the	the	DET
iajs-221	264	13	quality	quality	NOUN
iajs-221	264	14	of	of	ADP
iajs-221	264	15	the	the	DET
iajs-221	264	16	solutions	solution	NOUN
iajs-221	264	17	obtained	obtain	VERB
iajs-221	264	18	by	by	ADP
iajs-221	264	19	this	this	DET
iajs-221	264	20	algorithm	algorithm	NOUN
iajs-221	264	21	with	with	ADP
iajs-221	264	22	respect	respect	NOUN
iajs-221	264	23	to	to	ADP
iajs-221	264	24	the	the	DET
iajs-221	264	25	solutions	solution	NOUN
iajs-221	264	26	in	in	ADP
iajs-221	264	27	(	(	PUNCT
iajs-221	264	28	cem	cem	NOUN
iajs-221	264	29	)	)	PUNCT
iajs-221	264	30	.	.	PUNCT
iajs-221	265	1	all	all	DET
iajs-221	265	2	the	the	DET
iajs-221	265	3	algorithms	algorithm	NOUN
iajs-221	265	4	were	be	AUX
iajs-221	265	5	tested	test	VERB
iajs-221	265	6	by	by	ADP
iajs-221	265	7	coding	code	VERB
iajs-221	265	8	them	they	PRON
iajs-221	265	9	in	in	ADP
iajs-221	265	10	matlab	matlab	PROPN
iajs-221	265	11	8.3.0	8.3.0	NUM
iajs-221	265	12	(	(	PUNCT
iajs-221	265	13	r2014a	r2014a	NOUN
iajs-221	265	14	)	)	PUNCT
iajs-221	265	15	and	and	CCONJ
iajs-221	265	16	implemented	implement	VERB
iajs-221	265	17	on	on	ADP
iajs-221	265	18	intel	intel	PROPN
iajs-221	265	19	(	(	PUNCT
iajs-221	265	20	r	r	NOUN
iajs-221	265	21	)	)	PUNCT
iajs-221	265	22	core	core	NOUN
iajs-221	265	23	(	(	PUNCT
iajs-221	265	24	tm	tm	NOUN
iajs-221	265	25	)	)	PUNCT
iajs-221	265	26	i5	i5	ADJ
iajs-221	265	27	cpu	cpu	NOUN
iajs-221	265	28	(	(	PUNCT
iajs-221	265	29	3210	3210	NUM
iajs-221	265	30	m	m	NOUN
iajs-221	265	31	)	)	PUNCT
iajs-221	265	32	@	@	ADP
iajs-221	265	33	2.50	2.50	NUM
iajs-221	265	34	ghz	ghz	NOUN
iajs-221	265	35	,	,	PUNCT
iajs-221	265	36	with	with	ADP
iajs-221	265	37	ram	ram	NOUN
iajs-221	265	38	4.00	4.00	NUM
iajs-221	265	39	gb	gb	ADP
iajs-221	265	40	personal	personal	ADJ
iajs-221	265	41	computer	computer	NOUN
iajs-221	265	42	.	.	PUNCT
iajs-221	266	1	6.2	6.2	NUM
iajs-221	266	2	comparison	comparison	NOUN
iajs-221	266	3	of	of	ADP
iajs-221	266	4	results	result	NOUN
iajs-221	266	5	the	the	DET
iajs-221	266	6	results	result	NOUN
iajs-221	266	7	of	of	ADP
iajs-221	266	8	the	the	DET
iajs-221	266	9	bab	bab	PROPN
iajs-221	266	10	algorithm	algorithm	PROPN
iajs-221	266	11	(	(	PUNCT
iajs-221	266	12	atp	atp	PROPN
iajs-221	266	13	and	and	CCONJ
iajs-221	266	14	ztp	ztp	PROPN
iajs-221	266	15	)	)	PUNCT
iajs-221	266	16	for	for	ADP
iajs-221	266	17	the	the	DET
iajs-221	266	18	problem	problem	NOUN
iajs-221	266	19	(	(	PUNCT
iajs-221	266	20	tp7	tp7	NOUN
iajs-221	266	21	)	)	PUNCT
iajs-221	266	22	for	for	ADP
iajs-221	266	23	the	the	DET
iajs-221	266	24	test	test	NOUN
iajs-221	266	25	problems	problem	NOUN
iajs-221	266	26	are	be	AUX
iajs-221	266	27	compared	compare	VERB
iajs-221	266	28	with	with	ADP
iajs-221	266	29	the	the	DET
iajs-221	266	30	results	result	NOUN
iajs-221	266	31	of	of	ADP
iajs-221	266	32	complete	complete	ADJ
iajs-221	266	33	enumeration	enumeration	NOUN
iajs-221	266	34	method	method	NOUN
iajs-221	266	35	(	(	PUNCT
iajs-221	266	36	cem	cem	NOUN
iajs-221	266	37	)	)	PUNCT
iajs-221	266	38	.	.	PUNCT
iajs-221	267	1	comparison	comparison	NOUN
iajs-221	267	2	of	of	ADP
iajs-221	267	3	these	these	DET
iajs-221	267	4	results	result	NOUN
iajs-221	267	5	is	be	AUX
iajs-221	267	6	given	give	VERB
iajs-221	267	7	in	in	ADP
iajs-221	267	8	table	table	NOUN
iajs-221	267	9	(	(	PUNCT
iajs-221	267	10	3	3	NUM
iajs-221	267	11	)	)	PUNCT
iajs-221	267	12	for	for	ADP
iajs-221	267	13	n≤10	n≤10	PRON
iajs-221	267	14	.	.	PUNCT
iajs-221	268	1	the	the	DET
iajs-221	268	2	results	result	NOUN
iajs-221	268	3	for	for	ADP
iajs-221	268	4	n˃10	n˃10	PROPN
iajs-221	268	5	for	for	ADP
iajs-221	268	6	the	the	DET
iajs-221	268	7	bab	bab	PROPN
iajs-221	268	8	is	be	AUX
iajs-221	268	9	given	give	VERB
iajs-221	268	10	in	in	ADP
iajs-221	268	11	table	table	NOUN
iajs-221	268	12	(	(	PUNCT
iajs-221	268	13	4	4	NUM
iajs-221	268	14	)	)	PUNCT
iajs-221	268	15	.	.	PUNCT
iajs-221	269	1	also	also	ADV
iajs-221	269	2	the	the	DET
iajs-221	269	3	two	two	NUM
iajs-221	269	4	algorithms	algorithm	NOUN
iajs-221	269	5	were	be	AUX
iajs-221	269	6	run	run	VERB
iajs-221	269	7	for	for	ADP
iajs-221	269	8	all	all	DET
iajs-221	269	9	the	the	DET
iajs-221	269	10	instances	instance	NOUN
iajs-221	269	11	of	of	ADP
iajs-221	269	12	the	the	DET
iajs-221	269	13	test	test	NOUN
iajs-221	269	14	problems	problem	NOUN
iajs-221	269	15	given	give	VERB
iajs-221	269	16	in	in	ADP
iajs-221	269	17	subsection	subsection	NOUN
iajs-221	269	18	(	(	PUNCT
iajs-221	269	19	6.1	6.1	NUM
iajs-221	269	20	)	)	PUNCT
iajs-221	269	21	for	for	ADP
iajs-221	269	22	the	the	DET
iajs-221	269	23	problem	problem	NOUN
iajs-221	269	24	(	(	PUNCT
iajs-221	269	25	tp	tp	NOUN
iajs-221	269	26	)	)	PUNCT
iajs-221	269	27	.	.	PUNCT
iajs-221	270	1	the	the	DET
iajs-221	270	2	sets	set	NOUN
iajs-221	270	3	es1	es1	PROPN
iajs-221	270	4	and	and	CCONJ
iajs-221	270	5	es2	es2	PROPN
iajs-221	270	6	contain	contain	VERB
iajs-221	270	7	the	the	DET
iajs-221	270	8	efficient	efficient	ADJ
iajs-221	270	9	solutions	solution	NOUN
iajs-221	270	10	found	find	VERB
iajs-221	270	11	by	by	ADP
iajs-221	270	12	the	the	DET
iajs-221	270	13	algorithm	algorithm	NOUN
iajs-221	270	14	alg(atp	alg(atp	NOUN
iajs-221	270	15	)	)	PUNCT
iajs-221	270	16	and	and	CCONJ
iajs-221	270	17	alg(ztp	alg(ztp	NOUN
iajs-221	270	18	)	)	PUNCT
iajs-221	270	19	respectively	respectively	ADV
iajs-221	270	20	.	.	PUNCT
iajs-221	271	1	the	the	DET
iajs-221	271	2	performance	performance	NOUN
iajs-221	271	3	of	of	ADP
iajs-221	271	4	these	these	DET
iajs-221	271	5	algorithms	algorithm	NOUN
iajs-221	271	6	is	be	AUX
iajs-221	271	7	compared	compare	VERB
iajs-221	271	8	on	on	ADP
iajs-221	271	9	5	5	NUM
iajs-221	271	10	problem	problem	NOUN
iajs-221	271	11	instances	instance	NOUN
iajs-221	271	12	for	for	ADP
iajs-221	271	13	each	each	DET
iajs-221	271	14	n.	n.	NOUN
iajs-221	271	15	the	the	DET
iajs-221	271	16	cardinal	cardinal	ADJ
iajs-221	271	17	measure	measure	NOUN
iajs-221	271	18	is	be	AUX
iajs-221	271	19	calculated	calculate	VERB
iajs-221	271	20	for	for	ADP
iajs-221	271	21	the	the	DET
iajs-221	271	22	two	two	NUM
iajs-221	271	23	sets	set	NOUN
iajs-221	271	24	es1	es1	PROPN
iajs-221	271	25	and	and	CCONJ
iajs-221	271	26	es2	es2	PROPN
iajs-221	271	27	and	and	CCONJ
iajs-221	271	28	given	give	VERB
iajs-221	271	29	in	in	ADP
iajs-221	271	30	tables	table	NOUN
iajs-221	271	31	(	(	PUNCT
iajs-221	271	32	5	5	NUM
iajs-221	271	33	)	)	PUNCT
iajs-221	271	34	and	and	CCONJ
iajs-221	271	35	(	(	PUNCT
iajs-221	271	36	6	6	NUM
iajs-221	271	37	)	)	PUNCT
iajs-221	271	38	.	.	PUNCT
iajs-221	272	1	conclusion	conclusion	NOUN
iajs-221	272	2	in	in	ADP
iajs-221	272	3	this	this	DET
iajs-221	272	4	paper	paper	NOUN
iajs-221	272	5	,	,	PUNCT
iajs-221	272	6	a	a	DET
iajs-221	272	7	single	single	ADJ
iajs-221	272	8	machine	machine	NOUN
iajs-221	272	9	scheduling	scheduling	NOUN
iajs-221	272	10	problem	problem	NOUN
iajs-221	272	11	,	,	PUNCT
iajs-221	272	12	with	with	ADP
iajs-221	272	13	total	total	ADJ
iajs-221	272	14	completion	completion	NOUN
iajs-221	272	15	times	time	NOUN
iajs-221	272	16	,	,	PUNCT
iajs-221	272	17	total	total	ADJ
iajs-221	272	18	tardiness	tardiness	NOUN
iajs-221	272	19	and	and	CCONJ
iajs-221	272	20	maximum	maximum	ADJ
iajs-221	272	21	tardiness	tardiness	NOUN
iajs-221	272	22	has	have	AUX
iajs-221	272	23	been	be	AUX
iajs-221	272	24	considered	consider	VERB
iajs-221	272	25	.	.	PUNCT
iajs-221	273	1	the	the	DET
iajs-221	273	2	objective	objective	NOUN
iajs-221	273	3	is	be	AUX
iajs-221	273	4	to	to	PART
iajs-221	273	5	find	find	VERB
iajs-221	273	6	a	a	DET
iajs-221	273	7	schedule	schedule	NOUN
iajs-221	273	8	that	that	PRON
iajs-221	273	9	minimizes	minimize	VERB
iajs-221	273	10	the	the	DET
iajs-221	273	11	sum	sum	NOUN
iajs-221	273	12	of	of	ADP
iajs-221	273	13	completion	completion	NOUN
iajs-221	273	14	times	time	NOUN
iajs-221	273	15	,	,	PUNCT
iajs-221	273	16	sum	sum	NOUN
iajs-221	273	17	of	of	ADP
iajs-221	273	18	tardiness	tardiness	NOUN
iajs-221	273	19	and	and	CCONJ
iajs-221	273	20	maximum	maximum	ADJ
iajs-221	273	21	tardiness	tardiness	NOUN
iajs-221	273	22	.	.	PUNCT
iajs-221	274	1	we	we	PRON
iajs-221	274	2	have	have	AUX
iajs-221	274	3	given	give	VERB
iajs-221	274	4	simple	simple	ADJ
iajs-221	274	5	approximation	approximation	NOUN
iajs-221	274	6	algorithms	algorithm	NOUN
iajs-221	274	7	,	,	PUNCT
iajs-221	274	8	by	by	ADP
iajs-221	274	9	which	which	PRON
iajs-221	274	10	we	we	PRON
iajs-221	274	11	can	can	AUX
iajs-221	274	12	efficiently	efficiently	ADV
iajs-221	274	13	generate	generate	VERB
iajs-221	274	14	pareto	pareto	VERB
iajs-221	274	15	-	-	PUNCT
iajs-221	274	16	optimal	optimal	ADJ
iajs-221	274	17	solutions	solution	NOUN
iajs-221	274	18	.	.	PUNCT
iajs-221	275	1	the	the	DET
iajs-221	275	2	computational	computational	ADJ
iajs-221	275	3	results	result	NOUN
iajs-221	275	4	show	show	VERB
iajs-221	275	5	that	that	SCONJ
iajs-221	275	6	with	with	ADP
iajs-221	275	7	our	our	PRON
iajs-221	275	8	bab	bab	PROPN
iajs-221	275	9	algorithm	algorithm	NOUN
iajs-221	275	10	(	(	PUNCT
iajs-221	275	11	ztp	ztp	NOUN
iajs-221	275	12	)	)	PUNCT
iajs-221	275	13	we	we	PRON
iajs-221	275	14	can	can	AUX
iajs-221	275	15	find	find	VERB
iajs-221	275	16	pareto	pareto	VERB
iajs-221	275	17	-	-	PUNCT
iajs-221	275	18	optimal	optimal	ADJ
iajs-221	275	19	solutions	solution	NOUN
iajs-221	275	20	for	for	ADP
iajs-221	275	21	some	some	DET
iajs-221	275	22	number	number	NOUN
iajs-221	275	23	of	of	ADP
iajs-221	275	24	jobs	job	NOUN
iajs-221	275	25	n	n	CCONJ
iajs-221	275	26	,	,	PUNCT
iajs-221	275	27	a	a	DET
iajs-221	275	28	comparison	comparison	NOUN
iajs-221	275	29	is	be	AUX
iajs-221	275	30	mode	mode	NOUN
iajs-221	275	31	with	with	ADP
iajs-221	275	32	the	the	DET
iajs-221	275	33	results	result	NOUN
iajs-221	275	34	of	of	ADP
iajs-221	275	35	cem	cem	NOUN
iajs-221	275	36	for	for	ADP
iajs-221	275	37	n≤10	n≤10	NOUN
iajs-221	275	38	,	,	PUNCT
iajs-221	275	39	and	and	CCONJ
iajs-221	275	40	for	for	ADP
iajs-221	275	41	n≥10	n≥10	ADV
iajs-221	275	42	a	a	DET
iajs-221	275	43	comparison	comparison	NOUN
iajs-221	275	44	is	be	AUX
iajs-221	275	45	mode	mode	NOUN
iajs-221	275	46	with	with	ADP
iajs-221	275	47	the	the	DET
iajs-221	275	48	results	result	NOUN
iajs-221	275	49	of	of	ADP
iajs-221	275	50	algorithm	algorithm	NOUN
iajs-221	275	51	(	(	PUNCT
iajs-221	275	52	atp	atp	PROPN
iajs-221	275	53	)	)	PUNCT
iajs-221	275	54	.	.	PUNCT
iajs-221	276	1	also	also	ADV
iajs-221	276	2	a	a	DET
iajs-221	276	3	branch	branch	NOUN
iajs-221	276	4	and	and	CCONJ
iajs-221	276	5	bound	bind	VERB
iajs-221	276	6	algorithm	algorithm	NOUN
iajs-221	276	7	is	be	AUX
iajs-221	276	8	given	give	VERB
iajs-221	276	9	to	to	PART
iajs-221	276	10	find	find	VERB
iajs-221	276	11	the	the	DET
iajs-221	276	12	optimal	optimal	ADJ
iajs-221	276	13	solution	solution	NOUN
iajs-221	276	14	for	for	ADP
iajs-221	276	15	the	the	DET
iajs-221	276	16	sum	sum	NOUN
iajs-221	276	17	of	of	ADP
iajs-221	276	18	the	the	DET
iajs-221	276	19	three	three	NUM
iajs-221	276	20	objectives	objective	NOUN
iajs-221	276	21	.	.	PUNCT
iajs-221	277	1	165	165	NUM
iajs-221	277	2	|	|	NOUN
iajs-221	277	3	mathematics	mathematic	NOUN
iajs-221	277	4	٢٠١٥	٢٠١٥	NUM
iajs-221	277	5	)	)	PUNCT
iajs-221	277	6	عام	عام	ADP
iajs-221	277	7	٢العدد	٢العدد	PROPN
iajs-221	277	8	(	(	PUNCT
iajs-221	277	9	٢٨مجلة	٢٨مجلة	X
iajs-221	277	10	ابن	ابن	PROPN
iajs-221	277	11	الھيثم	الھيثم	PROPN
iajs-221	277	12	للعلوم	للعلوم	PROPN
iajs-221	277	13	الصرفة	الصرفة	PROPN
iajs-221	277	14	والتطبيقية	والتطبيقية	PRON
iajs-221	277	15	المجلد	المجلد	VERB
iajs-221	277	16	ibn	ibn	PROPN
iajs-221	277	17	al	al	PROPN
iajs-221	277	18	-	-	PUNCT
iajs-221	277	19	haitham	haitham	PROPN
iajs-221	277	20	.	.	PUNCT
iajs-221	278	1	j.	j.	PROPN
iajs-221	278	2	for	for	ADP
iajs-221	278	3	pure	pure	PROPN
iajs-221	278	4	&	&	CCONJ
iajs-221	278	5	appl	appl	PROPN
iajs-221	278	6	.	.	PUNCT
iajs-221	279	1	sci	sci	PROPN
iajs-221	279	2	.	.	PUNCT
iajs-221	279	3	vol	vol	NOUN
iajs-221	279	4	.	.	PROPN
iajs-221	280	1	28	28	NUM
iajs-221	280	2	(	(	PUNCT
iajs-221	280	3	2	2	NUM
iajs-221	280	4	)	)	PUNCT
iajs-221	280	5	2015	2015	NUM
iajs-221	280	6	the	the	DET
iajs-221	280	7	research	research	NOUN
iajs-221	280	8	may	may	AUX
iajs-221	280	9	be	be	AUX
iajs-221	280	10	extended	extend	VERB
iajs-221	280	11	to	to	ADP
iajs-221	280	12	a	a	DET
iajs-221	280	13	more	more	ADV
iajs-221	280	14	general	general	ADJ
iajs-221	280	15	case	case	NOUN
iajs-221	280	16	in	in	ADP
iajs-221	280	17	which	which	PRON
iajs-221	280	18	we	we	PRON
iajs-221	280	19	have	have	VERB
iajs-221	280	20	more	more	ADJ
iajs-221	280	21	than	than	ADP
iajs-221	280	22	three	three	NUM
iajs-221	280	23	objectives	objective	NOUN
iajs-221	280	24	.	.	PUNCT
iajs-221	281	1	references	reference	NOUN
iajs-221	281	2	1	1	NUM
iajs-221	281	3	.	.	PUNCT
iajs-221	281	4	abbas	abbas	PROPN
iajs-221	281	5	,	,	PUNCT
iajs-221	281	6	i.t	i.t	PROPN
iajs-221	281	7	.	.	PROPN
iajs-221	281	8	,	,	PUNCT
iajs-221	281	9	(	(	PUNCT
iajs-221	281	10	2009	2009	NUM
iajs-221	281	11	)	)	PUNCT
iajs-221	281	12	,	,	PUNCT
iajs-221	281	13	"	"	PUNCT
iajs-221	281	14	the	the	DET
iajs-221	281	15	performance	performance	NOUN
iajs-221	281	16	of	of	ADP
iajs-221	281	17	multicriteria	multicriteria	PROPN
iajs-221	281	18	scheduling	scheduling	NOUN
iajs-221	281	19	in	in	ADP
iajs-221	281	20	one	one	NUM
iajs-221	281	21	machine	machine	NOUN
iajs-221	281	22	"	"	PUNCT
iajs-221	281	23	,	,	PUNCT
iajs-221	281	24	m.sc	m.sc	PROPN
iajs-221	281	25	.	.	PUNCT
iajs-221	282	1	thesis	thesis	PROPN
iajs-221	282	2	,	,	PUNCT
iajs-221	282	3	univ	univ	PROPN
iajs-221	282	4	.	.	PROPN
iajs-221	282	5	of	of	ADP
iajs-221	282	6	al	al	PROPN
iajs-221	282	7	-	-	PUNCT
iajs-221	282	8	mustansiriyah	mustansiriyah	NOUN
iajs-221	282	9	,	,	PUNCT
iajs-221	282	10	college	college	NOUN
iajs-221	282	11	of	of	ADP
iajs-221	282	12	science	science	NOUN
iajs-221	282	13	,	,	PUNCT
iajs-221	282	14	dept	dept	NOUN
iajs-221	282	15	.	.	PROPN
iajs-221	282	16	of	of	ADP
iajs-221	282	17	mathematics	mathematic	NOUN
iajs-221	282	18	.	.	PUNCT
iajs-221	283	1	2	2	X
iajs-221	283	2	.	.	X
iajs-221	283	3	abdul	abdul	PROPN
iajs-221	283	4	-	-	PUNCT
iajs-221	283	5	razzaq	razzaq	PROPN
iajs-221	283	6	,	,	PUNCT
iajs-221	283	7	k.	k.	PROPN
iajs-221	283	8	f.	f.	PROPN
iajs-221	283	9	,	,	PUNCT
iajs-221	283	10	(	(	PUNCT
iajs-221	283	11	2014	2014	NUM
iajs-221	283	12	)	)	PUNCT
iajs-221	283	13	,	,	PUNCT
iajs-221	283	14	“	"	PUNCT
iajs-221	283	15	solving	solve	VERB
iajs-221	283	16	multicriteria	multicriteria	NOUN
iajs-221	283	17	scheduling	scheduling	NOUN
iajs-221	283	18	problems	problem	NOUN
iajs-221	283	19	”	"	PUNCT
iajs-221	283	20	,	,	PUNCT
iajs-221	283	21	m.	m.	PROPN
iajs-221	283	22	sc	sc	PROPN
iajs-221	283	23	.	.	PUNCT
iajs-221	284	1	thesis	thesis	PROPN
iajs-221	284	2	,	,	PUNCT
iajs-221	284	3	university	university	PROPN
iajs-221	284	4	of	of	ADP
iajs-221	284	5	al	al	PROPN
iajs-221	284	6	-	-	PUNCT
iajs-221	284	7	mustansiriyah	mustansiriyah	NOUN
iajs-221	284	8	,	,	PUNCT
iajs-221	284	9	college	college	NOUN
iajs-221	284	10	of	of	ADP
iajs-221	284	11	science	science	NOUN
iajs-221	284	12	,	,	PUNCT
iajs-221	284	13	dept	dept	NOUN
iajs-221	284	14	.	.	PROPN
iajs-221	284	15	of	of	ADP
iajs-221	284	16	mathematics	mathematic	NOUN
iajs-221	284	17	.	.	PUNCT
iajs-221	285	1	3	3	X
iajs-221	285	2	.	.	X
iajs-221	285	3	ahmed	ahmed	PROPN
iajs-221	285	4	,	,	PUNCT
iajs-221	285	5	m.	m.	NOUN
iajs-221	285	6	g.	g.	PROPN
iajs-221	285	7	,	,	PUNCT
iajs-221	285	8	(	(	PUNCT
iajs-221	285	9	2012	2012	NUM
iajs-221	285	10	)	)	PUNCT
iajs-221	285	11	,	,	PUNCT
iajs-221	285	12	“	"	PUNCT
iajs-221	285	13	a	a	DET
iajs-221	285	14	single	single	ADJ
iajs-221	285	15	machine	machine	NOUN
iajs-221	285	16	scheduling	scheduling	NOUN
iajs-221	285	17	problem	problem	NOUN
iajs-221	285	18	to	to	PART
iajs-221	285	19	minimize	minimize	VERB
iajs-221	285	20	the	the	DET
iajs-221	285	21	sum	sum	NOUN
iajs-221	285	22	of	of	ADP
iajs-221	285	23	total	total	ADJ
iajs-221	285	24	completion	completion	NOUN
iajs-221	285	25	times	time	NOUN
iajs-221	285	26	and	and	CCONJ
iajs-221	285	27	total	total	ADJ
iajs-221	285	28	late	late	ADJ
iajs-221	285	29	works	work	NOUN
iajs-221	285	30	”	"	PUNCT
iajs-221	285	31	,	,	PUNCT
iajs-221	285	32	res	re	NOUN
iajs-221	285	33	.	.	PUNCT
iajs-221	286	1	al	al	PROPN
iajs-221	286	2	-	-	PUNCT
iajs-221	286	3	mustansiriyah	mustansiriyah	PROPN
iajs-221	286	4	journal	journal	NOUN
iajs-221	286	5	of	of	ADP
iajs-221	286	6	science	science	NOUN
iajs-221	286	7	23	23	NUM
iajs-221	286	8	,	,	PUNCT
iajs-221	286	9	7	7	NUM
iajs-221	286	10	,	,	PUNCT
iajs-221	286	11	117	117	NUM
iajs-221	286	12	-	-	SYM
iajs-221	286	13	130	130	NUM
iajs-221	286	14	.	.	PUNCT
iajs-221	287	1	4	4	NUM
iajs-221	287	2	.	.	X
iajs-221	287	3	al	al	PROPN
iajs-221	287	4	zuwaini	zuwaini	PROPN
iajs-221	287	5	,	,	PUNCT
iajs-221	287	6	m.	m.	PROPN
iajs-221	287	7	k.	k.	PROPN
iajs-221	287	8	;	;	PUNCT
iajs-221	288	1	al	al	PROPN
iajs-221	288	2	saidy	saidy	PROPN
iajs-221	288	3	,	,	PUNCT
iajs-221	288	4	s.	s.	PROPN
iajs-221	288	5	k.	k.	PROPN
iajs-221	288	6	and	and	CCONJ
iajs-221	288	7	abdul	abdul	PROPN
iajs-221	288	8	-	-	PUNCT
iajs-221	288	9	razaq	razaq	ADJ
iajs-221	288	10	,	,	PUNCT
iajs-221	288	11	t.	t.	PROPN
iajs-221	288	12	s.	s.	PROPN
iajs-221	288	13	,	,	PUNCT
iajs-221	288	14	(	(	PUNCT
iajs-221	288	15	2011	2011	NUM
iajs-221	288	16	)	)	PUNCT
iajs-221	288	17	,	,	PUNCT
iajs-221	288	18	“	"	PUNCT
iajs-221	288	19	comparison	comparison	NOUN
iajs-221	288	20	study	study	NOUN
iajs-221	288	21	for	for	ADP
iajs-221	288	22	some	some	DET
iajs-221	288	23	local	local	ADJ
iajs-221	288	24	search	search	NOUN
iajs-221	288	25	methods	method	NOUN
iajs-221	288	26	for	for	ADP
iajs-221	288	27	multiple	multiple	ADJ
iajs-221	288	28	objective	objective	ADJ
iajs-221	288	29	function	function	NOUN
iajs-221	288	30	in	in	ADP
iajs-221	288	31	a	a	DET
iajs-221	288	32	single	single	ADJ
iajs-221	288	33	machine	machine	NOUN
iajs-221	288	34	scheduling	scheduling	NOUN
iajs-221	288	35	problem	problem	NOUN
iajs-221	288	36	”	"	PUNCT
iajs-221	288	37	,	,	PUNCT
iajs-221	288	38	journal	journal	NOUN
iajs-221	288	39	of	of	ADP
iajs-221	288	40	basrah	basrah	PROPN
iajs-221	288	41	research	research	PROPN
iajs-221	288	42	(	(	PUNCT
iajs-221	288	43	science	science	NOUN
iajs-221	288	44	)	)	PUNCT
iajs-221	288	45	37	37	NUM
iajs-221	288	46	,	,	PUNCT
iajs-221	288	47	4	4	NUM
iajs-221	288	48	,	,	PUNCT
iajs-221	288	49	103	103	NUM
iajs-221	288	50	-	-	SYM
iajs-221	288	51	113	113	NUM
iajs-221	288	52	.	.	PUNCT
iajs-221	289	1	5	5	NUM
iajs-221	289	2	.	.	X
iajs-221	289	3	al	al	PROPN
iajs-221	289	4	-	-	PUNCT
iajs-221	289	5	assaf	assaf	PROPN
iajs-221	289	6	,	,	PUNCT
iajs-221	289	7	s.s	s.s	PROPN
iajs-221	289	8	.	.	PROPN
iajs-221	289	9	,	,	PUNCT
iajs-221	289	10	(	(	PUNCT
iajs-221	289	11	2007	2007	NUM
iajs-221	289	12	)	)	PUNCT
iajs-221	289	13	,	,	PUNCT
iajs-221	289	14	"	"	PUNCT
iajs-221	289	15	solving	solve	VERB
iajs-221	289	16	multiple	multiple	ADJ
iajs-221	289	17	objectives	objective	NOUN
iajs-221	289	18	scheduling	scheduling	NOUN
iajs-221	289	19	problems	problem	NOUN
iajs-221	289	20	"	"	PUNCT
iajs-221	289	21	,	,	PUNCT
iajs-221	289	22	m.sc	m.sc	PROPN
iajs-221	289	23	.	.	PUNCT
iajs-221	290	1	thesis	thesis	PROPN
iajs-221	290	2	,	,	PUNCT
iajs-221	290	3	univ	univ	PROPN
iajs-221	290	4	.	.	PROPN
iajs-221	290	5	of	of	ADP
iajs-221	290	6	al	al	PROPN
iajs-221	290	7	-	-	PUNCT
iajs-221	290	8	mustansiriyah	mustansiriyah	NOUN
iajs-221	290	9	,	,	PUNCT
iajs-221	290	10	college	college	NOUN
iajs-221	290	11	of	of	ADP
iajs-221	290	12	science	science	NOUN
iajs-221	290	13	,	,	PUNCT
iajs-221	290	14	dept	dept	NOUN
iajs-221	290	15	.	.	PROPN
iajs-221	290	16	of	of	ADP
iajs-221	290	17	mathematics	mathematic	NOUN
iajs-221	290	18	.	.	PUNCT
iajs-221	291	1	6	6	NUM
iajs-221	291	2	.	.	X
iajs-221	291	3	du	du	PROPN
iajs-221	291	4	,	,	PUNCT
iajs-221	291	5	j.	j.	PROPN
iajs-221	291	6	and	and	CCONJ
iajs-221	291	7	leung	leung	PROPN
iajs-221	291	8	,	,	PUNCT
iajs-221	291	9	(	(	PUNCT
iajs-221	291	10	1990	1990	NUM
iajs-221	291	11	)	)	PUNCT
iajs-221	291	12	,	,	PUNCT
iajs-221	291	13	"	"	PUNCT
iajs-221	291	14	minimizing	minimize	VERB
iajs-221	291	15	total	total	ADJ
iajs-221	291	16	tardiness	tardiness	NOUN
iajs-221	291	17	on	on	ADP
iajs-221	291	18	one	one	NUM
iajs-221	291	19	machine	machine	NOUN
iajs-221	291	20	is	be	AUX
iajs-221	291	21	nphard	nphard	ADJ
iajs-221	291	22	"	"	PUNCT
iajs-221	291	23	,	,	PUNCT
iajs-221	291	24	mathematics	mathematic	NOUN
iajs-221	291	25	of	of	ADP
iajs-221	291	26	operation	operation	NOUN
iajs-221	291	27	res	re	NOUN
iajs-221	291	28	.	.	PUNCT
iajs-221	292	1	journal	journal	PROPN
iajs-221	292	2	,	,	PUNCT
iajs-221	292	3	15	15	NUM
iajs-221	292	4	,	,	PUNCT
iajs-221	292	5	3	3	NUM
iajs-221	292	6	,	,	PUNCT
iajs-221	292	7	483	483	NUM
iajs-221	292	8	-	-	SYM
iajs-221	292	9	495	495	NUM
iajs-221	292	10	.	.	PUNCT
iajs-221	293	1	7	7	X
iajs-221	293	2	.	.	X
iajs-221	293	3	emmons	emmons	PROPN
iajs-221	293	4	,	,	PUNCT
iajs-221	293	5	h.	h.	PROPN
iajs-221	293	6	,	,	PUNCT
iajs-221	293	7	(	(	PUNCT
iajs-221	293	8	1969	1969	NUM
iajs-221	293	9	)	)	PUNCT
iajs-221	293	10	,	,	PUNCT
iajs-221	293	11	“	"	PUNCT
iajs-221	293	12	one	one	NUM
iajs-221	293	13	machine	machine	NOUN
iajs-221	293	14	sequencing	sequence	VERB
iajs-221	293	15	to	to	PART
iajs-221	293	16	minimize	minimize	VERB
iajs-221	293	17	certain	certain	ADJ
iajs-221	293	18	functions	function	NOUN
iajs-221	293	19	of	of	ADP
iajs-221	293	20	job	job	NOUN
iajs-221	293	21	tardiness	tardiness	NOUN
iajs-221	293	22	”	"	PUNCT
iajs-221	293	23	,	,	PUNCT
iajs-221	293	24	operation	operation	NOUN
iajs-221	293	25	research	research	NOUN
iajs-221	293	26	17	17	NUM
iajs-221	293	27	,	,	PUNCT
iajs-221	293	28	701	701	NUM
iajs-221	293	29	-	-	SYM
iajs-221	293	30	715	715	NUM
iajs-221	293	31	.	.	NOUN
iajs-221	294	1	8	8	NUM
iajs-221	294	2	.	.	X
iajs-221	294	3	esswein	esswein	PROPN
iajs-221	294	4	,	,	PUNCT
iajs-221	294	5	c.	c.	NOUN
iajs-221	294	6	,	,	PUNCT
iajs-221	294	7	and	and	CCONJ
iajs-221	294	8	t'kindt	t'kindt	PROPN
iajs-221	294	9	,	,	PUNCT
iajs-221	294	10	v.	v.	ADV
iajs-221	294	11	,	,	PUNCT
iajs-221	294	12	(	(	PUNCT
iajs-221	294	13	2002	2002	NUM
iajs-221	294	14	)	)	PUNCT
iajs-221	294	15	,	,	PUNCT
iajs-221	294	16	"	"	PUNCT
iajs-221	294	17	resolution	resolution	NOUN
iajs-221	294	18	of	of	ADP
iajs-221	294	19	a	a	DET
iajs-221	294	20	single	single	ADJ
iajs-221	294	21	machine	machine	NOUN
iajs-221	294	22	scheduling	scheduling	NOUN
iajs-221	294	23	problem	problem	NOUN
iajs-221	294	24	with	with	ADP
iajs-221	294	25	a	a	DET
iajs-221	294	26	maximum	maximum	ADJ
iajs-221	294	27	cost	cost	NOUN
iajs-221	294	28	criterion	criterion	NOUN
iajs-221	294	29	and	and	CCONJ
iajs-221	294	30	the	the	DET
iajs-221	294	31	weighted	weighted	ADJ
iajs-221	294	32	sum	sum	NOUN
iajs-221	294	33	of	of	ADP
iajs-221	294	34	completion	completion	NOUN
iajs-221	294	35	times	time	NOUN
iajs-221	294	36	"	"	PUNCT
iajs-221	294	37	,	,	PUNCT
iajs-221	294	38	available	available	ADJ
iajs-221	294	39	on	on	ADP
iajs-221	294	40	line	line	NOUN
iajs-221	294	41	http://www.adeit.uv.es/pms2002/papers/n57.pdf	http://www.adeit.uv.es/pms2002/papers/n57.pdf	PROPN
iajs-221	294	42	.	.	PROPN
iajs-221	294	43	9	9	NUM
iajs-221	294	44	.	.	X
iajs-221	295	1	hoogeveen	hoogeveen	PROPN
iajs-221	295	2	,	,	PUNCT
iajs-221	295	3	j.a	j.a	PROPN
iajs-221	295	4	.	.	PROPN
iajs-221	295	5	,	,	PUNCT
iajs-221	295	6	(	(	PUNCT
iajs-221	295	7	2005	2005	NUM
iajs-221	295	8	)	)	PUNCT
iajs-221	295	9	,	,	PUNCT
iajs-221	295	10	“	"	PUNCT
iajs-221	295	11	invited	invite	VERB
iajs-221	295	12	review	review	NOUN
iajs-221	295	13	multicriteria	multicriteria	PROPN
iajs-221	295	14	scheduling	scheduling	NOUN
iajs-221	295	15	”	"	PUNCT
iajs-221	295	16	,	,	PUNCT
iajs-221	295	17	european	european	PROPN
iajs-221	295	18	journal	journal	PROPN
iajs-221	295	19	of	of	ADP
iajs-221	295	20	operational	operational	ADJ
iajs-221	295	21	research	research	NOUN
iajs-221	295	22	167,592	167,592	NUM
iajs-221	295	23	-	-	SYM
iajs-221	295	24	623	623	NUM
iajs-221	295	25	.	.	PUNCT
iajs-221	296	1	10	10	NUM
iajs-221	296	2	.	.	PUNCT
iajs-221	297	1	hoogeveen	hoogeveen	PROPN
iajs-221	297	2	,	,	PUNCT
iajs-221	297	3	j.a	j.a	PROPN
iajs-221	297	4	.	.	PROPN
iajs-221	297	5	,	,	PUNCT
iajs-221	297	6	and	and	CCONJ
iajs-221	297	7	van	van	PROPN
iajs-221	297	8	de	de	PROPN
iajs-221	297	9	velde	velde	PROPN
iajs-221	297	10	,	,	PUNCT
iajs-221	297	11	s.l	s.l	PROPN
iajs-221	297	12	.	.	PROPN
iajs-221	297	13	,	,	PUNCT
iajs-221	297	14	(	(	PUNCT
iajs-221	297	15	1995	1995	NUM
iajs-221	297	16	)	)	PUNCT
iajs-221	297	17	,	,	PUNCT
iajs-221	297	18	"	"	PUNCT
iajs-221	297	19	minimizing	minimize	VERB
iajs-221	297	20	total	total	ADJ
iajs-221	297	21	completion	completion	NOUN
iajs-221	297	22	time	time	NOUN
iajs-221	297	23	and	and	CCONJ
iajs-221	297	24	maximum	maximum	ADJ
iajs-221	297	25	cost	cost	NOUN
iajs-221	297	26	simultaneously	simultaneously	ADV
iajs-221	297	27	is	be	AUX
iajs-221	297	28	solvable	solvable	ADJ
iajs-221	297	29	in	in	ADP
iajs-221	297	30	polynomial	polynomial	ADJ
iajs-221	297	31	time	time	NOUN
iajs-221	297	32	"	"	PUNCT
iajs-221	297	33	,	,	PUNCT
iajs-221	297	34	operations	operation	NOUN
iajs-221	297	35	res	re	NOUN
iajs-221	297	36	.	.	PUNCT
iajs-221	298	1	letters	letter	NOUN
iajs-221	298	2	17	17	NUM
iajs-221	298	3	,	,	PUNCT
iajs-221	298	4	205	205	NUM
iajs-221	298	5	-	-	SYM
iajs-221	298	6	208	208	NUM
iajs-221	298	7	.	.	PUNCT
iajs-221	298	8	11	11	NUM
iajs-221	298	9	.	.	PUNCT
iajs-221	299	1	kurz	kurz	PROPN
iajs-221	299	2	,	,	PUNCT
iajs-221	299	3	m.e	m.e	PROPN
iajs-221	299	4	.	.	PROPN
iajs-221	299	5	,	,	PUNCT
iajs-221	299	6	and	and	CCONJ
iajs-221	299	7	canterbury	canterbury	PROPN
iajs-221	299	8	,	,	PUNCT
iajs-221	299	9	s.	s.	PROPN
iajs-221	299	10	,	,	PUNCT
iajs-221	299	11	(	(	PUNCT
iajs-221	299	12	2005	2005	NUM
iajs-221	299	13	)	)	PUNCT
iajs-221	299	14	,	,	PUNCT
iajs-221	299	15	''	''	PUNCT
iajs-221	299	16	minimizing	minimize	VERB
iajs-221	299	17	total	total	ADJ
iajs-221	299	18	flowtime	flowtime	NOUN
iajs-221	299	19	and	and	CCONJ
iajs-221	299	20	maximum	maximum	ADJ
iajs-221	299	21	earliness	earliness	NOUN
iajs-221	299	22	on	on	ADP
iajs-221	299	23	a	a	DET
iajs-221	299	24	single	single	ADJ
iajs-221	299	25	machine	machine	NOUN
iajs-221	299	26	using	use	VERB
iajs-221	299	27	multiple	multiple	ADJ
iajs-221	299	28	measures	measure	NOUN
iajs-221	299	29	of	of	ADP
iajs-221	299	30	fitness	fitness	NOUN
iajs-221	299	31	"	"	PUNCT
iajs-221	299	32	,	,	PUNCT
iajs-221	299	33	genetic	genetic	ADJ
iajs-221	299	34	and	and	CCONJ
iajs-221	299	35	evolutionary	evolutionary	ADJ
iajs-221	299	36	computation	computation	NOUN
iajs-221	299	37	conference	conference	NOUN
iajs-221	299	38	,	,	PUNCT
iajs-221	299	39	803	803	NUM
iajs-221	299	40	-	-	SYM
iajs-221	299	41	809	809	NUM
iajs-221	299	42	.	.	PUNCT
iajs-221	299	43	12	12	NUM
iajs-221	299	44	.	.	PUNCT
iajs-221	300	1	mahmood	mahmood	PROPN
iajs-221	300	2	,	,	PUNCT
iajs-221	300	3	a.	a.	NOUN
iajs-221	300	4	a.	a.	NOUN
iajs-221	300	5	,	,	PUNCT
iajs-221	300	6	(	(	PUNCT
iajs-221	300	7	2001	2001	NUM
iajs-221	300	8	)	)	PUNCT
iajs-221	300	9	,	,	PUNCT
iajs-221	300	10	"	"	PUNCT
iajs-221	300	11	solution	solution	NOUN
iajs-221	300	12	procedures	procedure	NOUN
iajs-221	300	13	for	for	ADP
iajs-221	300	14	scheduling	schedule	VERB
iajs-221	300	15	job	job	NOUN
iajs-221	300	16	families	family	NOUN
iajs-221	300	17	with	with	ADP
iajs-221	300	18	setups	setup	NOUN
iajs-221	300	19	and	and	CCONJ
iajs-221	300	20	due	due	ADJ
iajs-221	300	21	dates	date	NOUN
iajs-221	300	22	"	"	PUNCT
iajs-221	300	23	,	,	PUNCT
iajs-221	300	24	m.	m.	PROPN
iajs-221	300	25	sc	sc	PROPN
iajs-221	300	26	.	.	PUNCT
iajs-221	301	1	thesis	thesis	PROPN
iajs-221	301	2	,	,	PUNCT
iajs-221	301	3	university	university	PROPN
iajs-221	301	4	of	of	ADP
iajs-221	301	5	al	al	PROPN
iajs-221	301	6	-	-	PUNCT
iajs-221	301	7	mustansiriyah	mustansiriyah	NOUN
iajs-221	301	8	,	,	PUNCT
iajs-221	301	9	college	college	NOUN
iajs-221	301	10	of	of	ADP
iajs-221	301	11	science	science	NOUN
iajs-221	301	12	,	,	PUNCT
iajs-221	301	13	dept	dept	NOUN
iajs-221	301	14	.	.	PROPN
iajs-221	301	15	of	of	ADP
iajs-221	301	16	mathematics	mathematic	NOUN
iajs-221	301	17	.	.	PUNCT
iajs-221	302	1	13	13	NUM
iajs-221	302	2	.	.	PUNCT
iajs-221	303	1	mahmood	mahmood	PROPN
iajs-221	303	2	,	,	PUNCT
iajs-221	303	3	a.	a.	NOUN
iajs-221	303	4	a.	a.	PROPN
iajs-221	303	5	,	,	PUNCT
iajs-221	303	6	(	(	PUNCT
iajs-221	303	7	2014	2014	NUM
iajs-221	303	8	)	)	PUNCT
iajs-221	303	9	,	,	PUNCT
iajs-221	303	10	“	"	PUNCT
iajs-221	303	11	approximation	approximation	NOUN
iajs-221	303	12	solution	solution	NOUN
iajs-221	303	13	for	for	ADP
iajs-221	303	14	multicriteria	multicriteria	PROPN
iajs-221	303	15	scheduling	scheduling	NOUN
iajs-221	303	16	problems	problem	NOUN
iajs-221	303	17	”	"	PUNCT
iajs-221	303	18	,	,	PUNCT
iajs-221	303	19	res	re	NOUN
iajs-221	303	20	.	.	PUNCT
iajs-221	304	1	al	al	PROPN
iajs-221	304	2	-	-	PUNCT
iajs-221	304	3	rafidain	rafidain	PROPN
iajs-221	304	4	university	university	PROPN
iajs-221	304	5	college	college	NOUN
iajs-221	304	6	for	for	ADP
iajs-221	304	7	sciences	science	NOUN
iajs-221	304	8	1	1	NUM
iajs-221	304	9	,	,	PUNCT
iajs-221	304	10	34	34	NUM
iajs-221	304	11	,	,	PUNCT
iajs-221	304	12	161	161	NUM
iajs-221	304	13	-	-	SYM
iajs-221	304	14	179	179	NUM
iajs-221	304	15	.	.	PUNCT
iajs-221	305	1	14	14	NUM
iajs-221	305	2	.	.	PUNCT
iajs-221	306	1	mahmood	mahmood	PROPN
iajs-221	306	2	,	,	PUNCT
iajs-221	306	3	a.	a.	NOUN
iajs-221	306	4	a.	a.	PROPN
iajs-221	306	5	and	and	CCONJ
iajs-221	306	6	abdul	abdul	PROPN
iajs-221	306	7	-	-	PUNCT
iajs-221	306	8	razaq	razaq	ADJ
iajs-221	306	9	,	,	PUNCT
iajs-221	306	10	t.	t.	PROPN
iajs-221	306	11	s.	s.	PROPN
iajs-221	306	12	,	,	PUNCT
iajs-221	306	13	(	(	PUNCT
iajs-221	306	14	2014	2014	NUM
iajs-221	306	15	)	)	PUNCT
iajs-221	306	16	,	,	PUNCT
iajs-221	306	17	“	"	PUNCT
iajs-221	306	18	exact	exact	ADJ
iajs-221	306	19	algorithm	algorithm	NOUN
iajs-221	306	20	for	for	ADP
iajs-221	306	21	minimizing	minimize	VERB
iajs-221	306	22	the	the	DET
iajs-221	306	23	sum	sum	NOUN
iajs-221	306	24	of	of	ADP
iajs-221	306	25	total	total	ADJ
iajs-221	306	26	late	late	ADJ
iajs-221	306	27	work	work	NOUN
iajs-221	306	28	and	and	CCONJ
iajs-221	306	29	maximum	maximum	ADJ
iajs-221	306	30	late	late	ADJ
iajs-221	306	31	work	work	NOUN
iajs-221	306	32	problem	problem	NOUN
iajs-221	306	33	”	"	PUNCT
iajs-221	306	34	,	,	PUNCT
iajs-221	306	35	res	re	NOUN
iajs-221	306	36	.	.	PUNCT
iajs-221	307	1	diyala	diyala	PROPN
iajs-221	307	2	journal	journal	PROPN
iajs-221	307	3	for	for	ADP
iajs-221	307	4	pure	pure	ADJ
iajs-221	307	5	science	science	NOUN
iajs-221	307	6	10	10	NUM
iajs-221	307	7	,	,	PUNCT
iajs-221	307	8	1	1	NUM
iajs-221	307	9	,	,	PUNCT
iajs-221	307	10	39	39	NUM
iajs-221	307	11	-	-	SYM
iajs-221	307	12	50	50	NUM
iajs-221	307	13	.	.	NOUN
iajs-221	308	1	15	15	NUM
iajs-221	308	2	.	.	X
iajs-221	308	3	nagar	nagar	PROPN
iajs-221	308	4	,	,	PUNCT
iajs-221	308	5	a.	a.	PROPN
iajs-221	308	6	,	,	PUNCT
iajs-221	308	7	jorge	jorge	NOUN
iajs-221	308	8	,	,	PUNCT
iajs-221	308	9	h.	h.	PROPN
iajs-221	308	10	,	,	PUNCT
iajs-221	308	11	and	and	CCONJ
iajs-221	308	12	sunderesh	sunderesh	PROPN
iajs-221	308	13	h.	h.	PROPN
iajs-221	308	14	,	,	PUNCT
iajs-221	308	15	(	(	PUNCT
iajs-221	308	16	1995	1995	NUM
iajs-221	308	17	)	)	PUNCT
iajs-221	308	18	,	,	PUNCT
iajs-221	308	19	"	"	PUNCT
iajs-221	308	20	multiple	multiple	ADJ
iajs-221	308	21	and	and	CCONJ
iajs-221	308	22	bi	bi	ADJ
iajs-221	308	23	-	-	ADJ
iajs-221	308	24	criteria	criterion	NOUN
iajs-221	308	25	scheduling	scheduling	NOUN
iajs-221	308	26	:	:	PUNCT
iajs-221	308	27	a	a	DET
iajs-221	308	28	literature	literature	NOUN
iajs-221	308	29	survey	survey	NOUN
iajs-221	308	30	"	"	PUNCT
iajs-221	308	31	,	,	PUNCT
iajs-221	308	32	european	european	PROPN
iajs-221	308	33	journal	journal	PROPN
iajs-221	308	34	of	of	ADP
iajs-221	308	35	operational	operational	ADJ
iajs-221	308	36	research	research	NOUN
iajs-221	308	37	north	north	PROPN
iajs-221	308	38	-	-	PUNCT
iajs-221	308	39	holland	holland	PROPN
iajs-221	308	40	,	,	PUNCT
iajs-221	308	41	81	81	NUM
iajs-221	308	42	,	,	PUNCT
iajs-221	308	43	88	88	NUM
iajs-221	308	44	-	-	SYM
iajs-221	308	45	104	104	NUM
iajs-221	308	46	.	.	PUNCT
iajs-221	309	1	16	16	NUM
iajs-221	309	2	.	.	PUNCT
iajs-221	310	1	nelson	nelson	PROPN
iajs-221	310	2	,	,	PUNCT
iajs-221	310	3	r.t	r.t	PROPN
iajs-221	310	4	.	.	PROPN
iajs-221	310	5	;	;	PUNCT
iajs-221	310	6	sarin	sarin	NOUN
iajs-221	310	7	,	,	PUNCT
iajs-221	310	8	r.k	r.k	PROPN
iajs-221	310	9	.	.	PROPN
iajs-221	310	10	,	,	PUNCT
iajs-221	310	11	and	and	CCONJ
iajs-221	310	12	daniels	daniels	PROPN
iajs-221	310	13	,	,	PUNCT
iajs-221	310	14	r.l	r.l	PROPN
iajs-221	310	15	.	.	PROPN
iajs-221	310	16	,	,	PUNCT
iajs-221	310	17	(	(	PUNCT
iajs-221	310	18	1986	1986	NUM
iajs-221	310	19	)	)	PUNCT
iajs-221	310	20	,	,	PUNCT
iajs-221	310	21	"	"	PUNCT
iajs-221	310	22	scheduling	schedule	VERB
iajs-221	310	23	with	with	ADP
iajs-221	310	24	multiple	multiple	ADJ
iajs-221	310	25	performance	performance	NOUN
iajs-221	310	26	measures	measure	NOUN
iajs-221	310	27	:	:	PUNCT
iajs-221	310	28	the	the	DET
iajs-221	310	29	one	one	NUM
iajs-221	310	30	machine	machine	NOUN
iajs-221	310	31	case	case	NOUN
iajs-221	310	32	"	"	PUNCT
iajs-221	310	33	,	,	PUNCT
iajs-221	310	34	management	management	NOUN
iajs-221	310	35	science	science	NOUN
iajs-221	310	36	,	,	PUNCT
iajs-221	310	37	32	32	NUM
iajs-221	310	38	,	,	PUNCT
iajs-221	310	39	464	464	NUM
iajs-221	310	40	-	-	SYM
iajs-221	310	41	479	479	NUM
iajs-221	310	42	.	.	PUNCT
iajs-221	311	1	17	17	NUM
iajs-221	311	2	.	.	PUNCT
iajs-221	312	1	oyetunji	oyetunji	PROPN
iajs-221	312	2	,	,	PUNCT
iajs-221	312	3	e.o	e.o	PROPN
iajs-221	312	4	.	.	PROPN
iajs-221	312	5	,	,	PUNCT
iajs-221	312	6	and	and	CCONJ
iajs-221	312	7	oluleye	oluleye	NOUN
iajs-221	312	8	,	,	PUNCT
iajs-221	312	9	a.e	a.e	PROPN
iajs-221	312	10	.	.	PROPN
iajs-221	312	11	,	,	PUNCT
iajs-221	312	12	(	(	PUNCT
iajs-221	312	13	2008	2008	NUM
iajs-221	312	14	)	)	PUNCT
iajs-221	312	15	,	,	PUNCT
iajs-221	312	16	"	"	PUNCT
iajs-221	312	17	heuristics	heuristic	NOUN
iajs-221	312	18	for	for	ADP
iajs-221	312	19	minimizing	minimize	VERB
iajs-221	312	20	total	total	ADJ
iajs-221	312	21	completion	completion	NOUN
iajs-221	312	22	time	time	NOUN
iajs-221	312	23	and	and	CCONJ
iajs-221	312	24	number	number	NOUN
iajs-221	312	25	of	of	ADP
iajs-221	312	26	tardy	tardy	ADJ
iajs-221	312	27	jobs	job	NOUN
iajs-221	312	28	simultaneously	simultaneously	ADV
iajs-221	312	29	on	on	ADP
iajs-221	312	30	single	single	ADJ
iajs-221	312	31	machine	machine	NOUN
iajs-221	312	32	with	with	ADP
iajs-221	312	33	release	release	NOUN
iajs-221	312	34	time	time	NOUN
iajs-221	312	35	"	"	PUNCT
iajs-221	312	36	,	,	PUNCT
iajs-221	312	37	res	re	NOUN
iajs-221	312	38	.	.	PROPN
iajs-221	312	39	journal	journal	PROPN
iajs-221	312	40	of	of	ADP
iajs-221	312	41	applied	apply	VERB
iajs-221	312	42	sciences	science	NOUN
iajs-221	312	43	,	,	PUNCT
iajs-221	312	44	3,147	3,147	NUM
iajs-221	312	45	-	-	SYM
iajs-221	312	46	152	152	NUM
iajs-221	312	47	.	.	PUNCT
iajs-221	312	48	18	18	NUM
iajs-221	312	49	.	.	PUNCT
iajs-221	313	1	smith	smith	PROPN
iajs-221	313	2	,	,	PUNCT
iajs-221	313	3	w.e	w.e	PROPN
iajs-221	313	4	.	.	PROPN
iajs-221	313	5	,	,	PUNCT
iajs-221	313	6	(	(	PUNCT
iajs-221	313	7	1956	1956	NUM
iajs-221	313	8	)	)	PUNCT
iajs-221	313	9	,	,	PUNCT
iajs-221	313	10	"	"	PUNCT
iajs-221	313	11	version	version	NOUN
iajs-221	313	12	optimization	optimization	NOUN
iajs-221	313	13	for	for	ADP
iajs-221	313	14	single	single	ADJ
iajs-221	313	15	stage	stage	NOUN
iajs-221	313	16	production	production	NOUN
iajs-221	313	17	"	"	PUNCT
iajs-221	313	18	,	,	PUNCT
iajs-221	313	19	naval	naval	ADJ
iajs-221	313	20	res	re	NOUN
iajs-221	313	21	.	.	PUNCT
iajs-221	314	1	logistics	logistic	NOUN
iajs-221	314	2	quarter	quarter	NOUN
iajs-221	314	3	,	,	PUNCT
iajs-221	314	4	3	3	NUM
iajs-221	314	5	,	,	PUNCT
iajs-221	314	6	59	59	NUM
iajs-221	314	7	-	-	SYM
iajs-221	314	8	66	66	NUM
iajs-221	314	9	.	.	PUNCT
iajs-221	315	1	166	166	NUM
iajs-221	315	2	|	|	NOUN
iajs-221	315	3	mathematics	mathematic	NOUN
iajs-221	315	4	٢٠١٥	٢٠١٥	NUM
iajs-221	315	5	)	)	PUNCT
iajs-221	315	6	عام	عام	ADP
iajs-221	315	7	٢العدد	٢العدد	PROPN
iajs-221	315	8	(	(	PUNCT
iajs-221	315	9	٢٨مجلة	٢٨مجلة	X
iajs-221	315	10	ابن	ابن	PROPN
iajs-221	315	11	الھيثم	الھيثم	PROPN
iajs-221	315	12	للعلوم	للعلوم	PROPN
iajs-221	315	13	الصرفة	الصرفة	PROPN
iajs-221	315	14	والتطبيقية	والتطبيقية	PRON
iajs-221	315	15	المجلد	المجلد	VERB
iajs-221	315	16	ibn	ibn	PROPN
iajs-221	315	17	al	al	PROPN
iajs-221	315	18	-	-	PUNCT
iajs-221	315	19	haitham	haitham	PROPN
iajs-221	315	20	.	.	PUNCT
iajs-221	316	1	j.	j.	PROPN
iajs-221	316	2	for	for	ADP
iajs-221	316	3	pure	pure	PROPN
iajs-221	316	4	&	&	CCONJ
iajs-221	316	5	appl	appl	PROPN
iajs-221	316	6	.	.	PUNCT
iajs-221	317	1	sci	sci	PROPN
iajs-221	317	2	.	.	PUNCT
iajs-221	317	3	vol	vol	NOUN
iajs-221	317	4	.	.	PROPN
iajs-221	318	1	28	28	NUM
iajs-221	318	2	(	(	PUNCT
iajs-221	318	3	2	2	NUM
iajs-221	318	4	)	)	PUNCT
iajs-221	318	5	2015	2015	NUM
iajs-221	318	6	19	19	NUM
iajs-221	318	7	.	.	PUNCT
iajs-221	318	8	t’kindt	t’kindt	PROPN
iajs-221	318	9	,	,	PUNCT
iajs-221	318	10	v.	v.	PROPN
iajs-221	318	11	and	and	CCONJ
iajs-221	318	12	billaut	billaut	PROPN
iajs-221	318	13	,	,	PUNCT
iajs-221	318	14	j.c	j.c	PROPN
iajs-221	318	15	.	.	PROPN
iajs-221	318	16	,	,	PUNCT
iajs-221	318	17	(	(	PUNCT
iajs-221	318	18	2006	2006	NUM
iajs-221	318	19	)	)	PUNCT
iajs-221	319	1	,	,	PUNCT
iajs-221	319	2	“	"	PUNCT
iajs-221	319	3	multicriteria	multicriteria	NOUN
iajs-221	319	4	scheduling	scheduling	NOUN
iajs-221	319	5	:	:	PUNCT
iajs-221	319	6	theory	theory	NOUN
iajs-221	319	7	,	,	PUNCT
iajs-221	319	8	models	model	NOUN
iajs-221	319	9	and	and	CCONJ
iajs-221	319	10	algorithms	algorithm	NOUN
iajs-221	319	11	”	"	PUNCT
iajs-221	319	12	springer	springer	NOUN
iajs-221	319	13	-	-	PUNCT
iajs-221	319	14	verlag	verlag	PROPN
iajs-221	319	15	berlin	berlin	PROPN
iajs-221	319	16	heidelberg	heidelberg	PROPN
iajs-221	319	17	,	,	PUNCT
iajs-221	319	18	2nd	2nd	PROPN
iajs-221	319	19	ed	ed	NOUN
iajs-221	319	20	.	.	PUNCT
iajs-221	320	1	20.tadei	20.tadei	NUM
iajs-221	320	2	,	,	PUNCT
iajs-221	320	3	r.	r.	PROPN
iajs-221	320	4	;	;	PUNCT
iajs-221	320	5	grosso	grosso	PROPN
iajs-221	320	6	,	,	PUNCT
iajs-221	320	7	a.	a.	NOUN
iajs-221	320	8	,	,	PUNCT
iajs-221	320	9	and	and	CCONJ
iajs-221	320	10	della	della	PROPN
iajs-221	320	11	croce	croce	PROPN
iajs-221	320	12	,	,	PUNCT
iajs-221	320	13	f.	f.	PROPN
iajs-221	320	14	,	,	PUNCT
iajs-221	320	15	(	(	PUNCT
iajs-221	320	16	2002	2002	NUM
iajs-221	320	17	)	)	PUNCT
iajs-221	320	18	,	,	PUNCT
iajs-221	320	19	"	"	PUNCT
iajs-221	320	20	finding	find	VERB
iajs-221	320	21	the	the	DET
iajs-221	320	22	pareto	pareto	NOUN
iajs-221	320	23	-	-	PUNCT
iajs-221	320	24	optima	optima	NOUN
iajs-221	320	25	for	for	ADP
iajs-221	320	26	the	the	DET
iajs-221	320	27	total	total	ADJ
iajs-221	320	28	and	and	CCONJ
iajs-221	320	29	maximum	maximum	ADJ
iajs-221	320	30	tardiness	tardiness	ADJ
iajs-221	320	31	single	single	ADJ
iajs-221	320	32	machine	machine	NOUN
iajs-221	320	33	problem	problem	NOUN
iajs-221	320	34	"	"	PUNCT
iajs-221	320	35	,	,	PUNCT
iajs-221	320	36	discrete	discrete	ADJ
iajs-221	320	37	applied	apply	VERB
iajs-221	320	38	mathematics	mathematic	NOUN
iajs-221	320	39	124	124	NUM
iajs-221	320	40	,	,	PUNCT
iajs-221	320	41	117126	117126	NUM
iajs-221	320	42	.	.	PUNCT
iajs-221	321	1	21.vanwassenhove	21.vanwassenhove	NUM
iajs-221	321	2	,	,	PUNCT
iajs-221	321	3	l.n	l.n	PROPN
iajs-221	321	4	.	.	PROPN
iajs-221	321	5	,	,	PUNCT
iajs-221	321	6	and	and	CCONJ
iajs-221	321	7	gelders	gelder	NOUN
iajs-221	321	8	,	,	PUNCT
iajs-221	321	9	l.f	l.f	PROPN
iajs-221	321	10	.	.	PROPN
iajs-221	321	11	,	,	PUNCT
iajs-221	321	12	(	(	PUNCT
iajs-221	321	13	1980	1980	NUM
iajs-221	321	14	)	)	PUNCT
iajs-221	321	15	,	,	PUNCT
iajs-221	321	16	"	"	PUNCT
iajs-221	321	17	solving	solve	VERB
iajs-221	321	18	a	a	DET
iajs-221	321	19	bicriterion	bicriterion	NOUN
iajs-221	321	20	scheduling	scheduling	NOUN
iajs-221	321	21	problem	problem	NOUN
iajs-221	321	22	"	"	PUNCT
iajs-221	321	23	,	,	PUNCT
iajs-221	321	24	european	european	PROPN
iajs-221	321	25	journal	journal	PROPN
iajs-221	321	26	of	of	ADP
iajs-221	321	27	operational	operational	ADJ
iajs-221	321	28	res	re	NOUN
iajs-221	321	29	.	.	PROPN
iajs-221	322	1	4	4	NUM
iajs-221	322	2	,	,	PUNCT
iajs-221	322	3	42	42	NUM
iajs-221	322	4	-	-	SYM
iajs-221	322	5	48	48	NUM
iajs-221	322	6	.	.	PUNCT
iajs-221	322	7	table	table	NOUN
iajs-221	322	8	no.(1	no.(1	PROPN
iajs-221	322	9	)	)	PUNCT
iajs-221	322	10	:	:	PUNCT
iajs-221	323	1	the	the	DET
iajs-221	323	2	results	result	NOUN
iajs-221	323	3	of	of	ADP
iajs-221	323	4	efficient	efficient	ADJ
iajs-221	323	5	solutions	solution	NOUN
iajs-221	323	6	for	for	ADP
iajs-221	323	7	the	the	DET
iajs-221	323	8	example	example	NOUN
iajs-221	323	9	(	(	PUNCT
iajs-221	323	10	6	6	NUM
iajs-221	323	11	)	)	PUNCT
iajs-221	323	12	obtained	obtain	VERB
iajs-221	323	13	by	by	ADP
iajs-221	323	14	cem	cem	NOUN
iajs-221	323	15	and	and	CCONJ
iajs-221	323	16	algorithm	algorithm	NOUN
iajs-221	323	17	(	(	PUNCT
iajs-221	323	18	atp	atp	PROPN
iajs-221	323	19	)	)	PUNCT
iajs-221	323	20	.	.	PUNCT
iajs-221	324	1	sequence	sequence	NOUN
iajs-221	324	2	∑ci	∑ci	X
iajs-221	324	3	∑ti	∑ti	PUNCT
iajs-221	325	1	tmax	tmax	ADV
iajs-221	325	2	(	(	PUNCT
iajs-221	325	3	3,1,4,5,2	3,1,4,5,2	NUM
iajs-221	325	4	)	)	PUNCT
iajs-221	325	5	*	*	PUNCT
iajs-221	325	6	57	57	NUM
iajs-221	325	7	23	23	NUM
iajs-221	325	8	13	13	NUM
iajs-221	325	9	(	(	PUNCT
iajs-221	325	10	3,4,1,5,2	3,4,1,5,2	NUM
iajs-221	325	11	)	)	PUNCT
iajs-221	325	12	58	58	NUM
iajs-221	325	13	19	19	NUM
iajs-221	325	14	13	13	NUM
iajs-221	325	15	(	(	PUNCT
iajs-221	325	16	3,1,4,2,5	3,1,4,2,5	NUM
iajs-221	325	17	)	)	PUNCT
iajs-221	325	18	*	*	PUNCT
iajs-221	326	1	58	58	NUM
iajs-221	326	2	24	24	NUM
iajs-221	326	3	12	12	NUM
iajs-221	326	4	(	(	PUNCT
iajs-221	326	5	3,4,5,1,2	3,4,5,1,2	NUM
iajs-221	326	6	)	)	PUNCT
iajs-221	326	7	59	59	NUM
iajs-221	326	8	15	15	NUM
iajs-221	326	9	13	13	NUM
iajs-221	326	10	(	(	PUNCT
iajs-221	326	11	3,4,1,2,5	3,4,1,2,5	NUM
iajs-221	326	12	)	)	PUNCT
iajs-221	326	13	59	59	NUM
iajs-221	326	14	20	20	NUM
iajs-221	326	15	12	12	NUM
iajs-221	326	16	(	(	PUNCT
iajs-221	326	17	3,4,5,2,1	3,4,5,2,1	NUM
iajs-221	326	18	)	)	PUNCT
iajs-221	326	19	*	*	PUNCT
iajs-221	326	20	61	61	NUM
iajs-221	326	21	13	13	NUM
iajs-221	326	22	9	9	NUM
iajs-221	326	23	(	(	PUNCT
iajs-221	326	24	3,4,2,5,1	3,4,2,5,1	NUM
iajs-221	326	25	)	)	PUNCT
iajs-221	326	26	*	*	PUNCT
iajs-221	326	27	62	62	NUM
iajs-221	326	28	14	14	NUM
iajs-221	326	29	8	8	NUM
iajs-221	326	30	note	note	NOUN
iajs-221	326	31	that	that	SCONJ
iajs-221	326	32	(	(	PUNCT
iajs-221	326	33	*	*	PUNCT
iajs-221	326	34	)	)	PUNCT
iajs-221	326	35	indicates	indicate	VERB
iajs-221	326	36	that	that	SCONJ
iajs-221	326	37	the	the	DET
iajs-221	326	38	efficient	efficient	ADJ
iajs-221	326	39	schedule	schedule	NOUN
iajs-221	326	40	obtained	obtain	VERB
iajs-221	326	41	by	by	ADP
iajs-221	326	42	algorithm	algorithm	NOUN
iajs-221	326	43	(	(	PUNCT
iajs-221	326	44	atp	atp	PROPN
iajs-221	326	45	)	)	PUNCT
iajs-221	326	46	.	.	PUNCT
iajs-221	327	1	table	table	NOUN
iajs-221	327	2	no.(2	no.(2	NOUN
iajs-221	327	3	)	)	PUNCT
iajs-221	327	4	:	:	PUNCT
iajs-221	327	5	the	the	DET
iajs-221	327	6	results	result	NOUN
iajs-221	327	7	of	of	ADP
iajs-221	327	8	efficient	efficient	ADJ
iajs-221	327	9	solutions	solution	NOUN
iajs-221	327	10	for	for	ADP
iajs-221	327	11	example	example	NOUN
iajs-221	327	12	(	(	PUNCT
iajs-221	327	13	7	7	NUM
iajs-221	327	14	)	)	PUNCT
iajs-221	327	15	by	by	ADP
iajs-221	327	16	bab	bab	PROPN
iajs-221	327	17	method	method	PROPN
iajs-221	327	18	algorithm	algorithm	PROPN
iajs-221	327	19	(	(	PUNCT
iajs-221	327	20	ztp	ztp	NOUN
iajs-221	327	21	)	)	PUNCT
iajs-221	327	22	.	.	PUNCT
iajs-221	328	1	sequence	sequence	NOUN
iajs-221	328	2	∑ci	∑ci	X
iajs-221	328	3	∑ti	∑ti	PUNCT
iajs-221	329	1	tmax	tmax	ADV
iajs-221	329	2	(	(	PUNCT
iajs-221	329	3	3,1,4,5,2	3,1,4,5,2	NUM
iajs-221	329	4	)	)	PUNCT
iajs-221	329	5	57	57	NUM
iajs-221	329	6	23	23	NUM
iajs-221	329	7	13	13	NUM
iajs-221	329	8	(	(	PUNCT
iajs-221	329	9	3,4,1,5,2	3,4,1,5,2	NUM
iajs-221	329	10	)	)	PUNCT
iajs-221	329	11	58	58	NUM
iajs-221	329	12	19	19	NUM
iajs-221	329	13	13	13	NUM
iajs-221	329	14	(	(	PUNCT
iajs-221	329	15	3,1,4,2,5	3,1,4,2,5	NUM
iajs-221	329	16	)	)	PUNCT
iajs-221	329	17	58	58	NUM
iajs-221	329	18	24	24	NUM
iajs-221	329	19	12	12	NUM
iajs-221	329	20	(	(	PUNCT
iajs-221	329	21	3,4,5,1,2	3,4,5,1,2	NUM
iajs-221	329	22	)	)	PUNCT
iajs-221	329	23	59	59	NUM
iajs-221	329	24	15	15	NUM
iajs-221	329	25	13	13	NUM
iajs-221	329	26	(	(	PUNCT
iajs-221	329	27	3,4,1,2,5	3,4,1,2,5	NUM
iajs-221	329	28	)	)	PUNCT
iajs-221	329	29	59	59	NUM
iajs-221	329	30	20	20	NUM
iajs-221	329	31	12	12	NUM
iajs-221	329	32	(	(	PUNCT
iajs-221	329	33	3,4,5,2,1	3,4,5,2,1	NUM
iajs-221	329	34	)	)	PUNCT
iajs-221	329	35	61	61	NUM
iajs-221	329	36	13	13	NUM
iajs-221	329	37	9	9	NUM
iajs-221	329	38	(	(	PUNCT
iajs-221	329	39	3,4,2,5,1	3,4,2,5,1	NUM
iajs-221	329	40	)	)	PUNCT
iajs-221	329	41	62	62	NUM
iajs-221	329	42	14	14	NUM
iajs-221	329	43	8	8	NUM
iajs-221	329	44	167	167	NUM
iajs-221	329	45	|	|	NOUN
iajs-221	329	46	mathematics	mathematic	NOUN
iajs-221	329	47	٢٠١٥	٢٠١٥	NUM
iajs-221	329	48	)	)	PUNCT
iajs-221	329	49	عام	عام	ADP
iajs-221	329	50	٢العدد	٢العدد	PROPN
iajs-221	329	51	(	(	PUNCT
iajs-221	329	52	٢٨مجلة	٢٨مجلة	X
iajs-221	329	53	ابن	ابن	PROPN
iajs-221	329	54	الھيثم	الھيثم	PROPN
iajs-221	329	55	للعلوم	للعلوم	PROPN
iajs-221	329	56	الصرفة	الصرفة	PROPN
iajs-221	329	57	والتطبيقية	والتطبيقية	PRON
iajs-221	329	58	المجلد	المجلد	VERB
iajs-221	329	59	ibn	ibn	PROPN
iajs-221	329	60	al	al	PROPN
iajs-221	329	61	-	-	PUNCT
iajs-221	329	62	haitham	haitham	PROPN
iajs-221	329	63	.	.	PUNCT
iajs-221	330	1	j.	j.	PROPN
iajs-221	330	2	for	for	ADP
iajs-221	330	3	pure	pure	PROPN
iajs-221	330	4	&	&	CCONJ
iajs-221	330	5	appl	appl	PROPN
iajs-221	330	6	.	.	PUNCT
iajs-221	331	1	sci	sci	PROPN
iajs-221	331	2	.	.	PUNCT
iajs-221	331	3	vol	vol	NOUN
iajs-221	331	4	.	.	PROPN
iajs-221	332	1	28	28	NUM
iajs-221	332	2	(	(	PUNCT
iajs-221	332	3	2	2	NUM
iajs-221	332	4	)	)	PUNCT
iajs-221	332	5	2015	2015	NUM
iajs-221	332	6	table	table	NOUN
iajs-221	332	7	no.(3	no.(3	NOUN
iajs-221	332	8	):	):	PUNCT
iajs-221	332	9	comparison	comparison	NOUN
iajs-221	332	10	of	of	ADP
iajs-221	332	11	results	result	NOUN
iajs-221	332	12	of	of	ADP
iajs-221	332	13	minimum	minimum	ADJ
iajs-221	332	14	sum	sum	NOUN
iajs-221	332	15	of	of	ADP
iajs-221	332	16	ce	ce	PROPN
iajs-221	332	17	and	and	CCONJ
iajs-221	332	18	bab	bab	PROPN
iajs-221	332	19	methods	method	NOUN
iajs-221	332	20	for	for	ADP
iajs-221	332	21	the	the	DET
iajs-221	332	22	problem	problem	NOUN
iajs-221	332	23	(	(	PUNCT
iajs-221	332	24	tp7	tp7	NOUN
iajs-221	332	25	)	)	PUNCT
iajs-221	332	26	.	.	PUNCT
iajs-221	333	1	1//∑ci+∑ti+tmax	1//∑ci+∑ti+tmax	NUM
iajs-221	333	2	n	n	PRON
iajs-221	333	3	ex	ex	PRON
iajs-221	333	4	sum.ce	sum.ce	PROPN
iajs-221	333	5	sum.bab	sum.bab	NUM
iajs-221	333	6	n	n	PRON
iajs-221	333	7	ex	ex	ADJ
iajs-221	333	8	sum.ce	sum.ce	PROPN
iajs-221	333	9	sum.bab	sum.bab	NUM
iajs-221	333	10	n	n	PRON
iajs-221	333	11	ex	ex	ADJ
iajs-221	333	12	sum.ce	sum.ce	NOUN
iajs-221	333	13	sum.bab	sum.bab	NUM
iajs-221	333	14	4	4	NUM
iajs-221	333	15	1	1	NUM
iajs-221	333	16	44	44	NUM
iajs-221	333	17	44	44	NUM
iajs-221	333	18	5	5	NUM
iajs-221	333	19	1	1	NUM
iajs-221	333	20	99	99	NUM
iajs-221	333	21	99	99	NUM
iajs-221	333	22	6	6	NUM
iajs-221	333	23	1	1	NUM
iajs-221	333	24	174	174	NUM
iajs-221	333	25	174	174	NUM
iajs-221	333	26	2	2	NUM
iajs-221	333	27	31	31	NUM
iajs-221	333	28	31	31	NUM
iajs-221	333	29	2	2	NUM
iajs-221	333	30	82	82	NUM
iajs-221	333	31	82	82	NUM
iajs-221	333	32	2	2	NUM
iajs-221	333	33	148	148	NUM
iajs-221	333	34	148	148	NUM
iajs-221	333	35	3	3	NUM
iajs-221	333	36	108	108	NUM
iajs-221	333	37	108	108	NUM
iajs-221	333	38	3	3	NUM
iajs-221	333	39	66	66	NUM
iajs-221	333	40	66	66	NUM
iajs-221	333	41	3	3	NUM
iajs-221	333	42	105	105	NUM
iajs-221	333	43	105	105	NUM
iajs-221	333	44	4	4	NUM
iajs-221	333	45	130	130	NUM
iajs-221	333	46	130	130	NUM
iajs-221	333	47	4	4	NUM
iajs-221	333	48	152	152	NUM
iajs-221	333	49	152	152	NUM
iajs-221	333	50	4	4	NUM
iajs-221	333	51	99	99	NUM
iajs-221	333	52	99	99	NUM
iajs-221	333	53	5	5	NUM
iajs-221	333	54	66	66	NUM
iajs-221	333	55	66	66	NUM
iajs-221	333	56	5	5	NUM
iajs-221	333	57	146	146	NUM
iajs-221	333	58	146	146	NUM
iajs-221	333	59	5	5	NUM
iajs-221	333	60	199	199	NUM
iajs-221	333	61	199	199	NUM
iajs-221	333	62	7	7	NUM
iajs-221	333	63	1	1	NUM
iajs-221	333	64	227	227	NUM
iajs-221	333	65	227	227	NUM
iajs-221	333	66	8	8	NUM
iajs-221	333	67	1	1	NUM
iajs-221	333	68	316	316	NUM
iajs-221	333	69	316	316	NUM
iajs-221	333	70	9	9	NUM
iajs-221	333	71	1	1	NUM
iajs-221	333	72	257	257	NUM
iajs-221	333	73	257	257	NUM
iajs-221	333	74	2	2	NUM
iajs-221	333	75	188	188	NUM
iajs-221	333	76	188	188	NUM
iajs-221	333	77	2	2	NUM
iajs-221	333	78	276	276	NUM
iajs-221	333	79	276	276	NUM
iajs-221	333	80	2	2	NUM
iajs-221	333	81	510	510	NUM
iajs-221	333	82	510	510	NUM
iajs-221	333	83	3	3	NUM
iajs-221	333	84	284	284	NUM
iajs-221	333	85	284	284	NUM
iajs-221	333	86	3	3	NUM
iajs-221	333	87	418	418	NUM
iajs-221	333	88	418	418	NUM
iajs-221	333	89	3	3	NUM
iajs-221	333	90	243	243	NUM
iajs-221	333	91	243	243	NUM
iajs-221	333	92	4	4	NUM
iajs-221	333	93	232	232	NUM
iajs-221	333	94	232	232	NUM
iajs-221	333	95	4	4	NUM
iajs-221	333	96	202	202	NUM
iajs-221	333	97	202	202	NUM
iajs-221	333	98	4	4	NUM
iajs-221	333	99	258	258	NUM
iajs-221	333	100	258	258	NUM
iajs-221	333	101	5	5	NUM
iajs-221	333	102	103	103	NUM
iajs-221	333	103	103	103	NUM
iajs-221	333	104	5	5	NUM
iajs-221	333	105	282	282	NUM
iajs-221	333	106	282	282	NUM
iajs-221	333	107	5	5	NUM
iajs-221	333	108	210	210	NUM
iajs-221	333	109	210	210	NUM
iajs-221	333	110	10	10	NUM
iajs-221	333	111	1	1	NUM
iajs-221	333	112	397	397	NUM
iajs-221	333	113	397	397	NUM
iajs-221	333	114	2	2	NUM
iajs-221	333	115	490	490	NUM
iajs-221	333	116	490	490	NUM
iajs-221	333	117	3	3	NUM
iajs-221	333	118	340	340	NUM
iajs-221	333	119	340	340	NUM
iajs-221	333	120	4	4	NUM
iajs-221	333	121	523	523	NUM
iajs-221	333	122	523	523	NUM
iajs-221	333	123	5	5	NUM
iajs-221	333	124	350	350	NUM
iajs-221	333	125	350	350	NUM
iajs-221	333	126	table	table	NOUN
iajs-221	333	127	no.(4	no.(4	NOUN
iajs-221	333	128	):	):	PUNCT
iajs-221	333	129	the	the	DET
iajs-221	333	130	results	result	NOUN
iajs-221	333	131	of	of	ADP
iajs-221	333	132	minimum	minimum	ADJ
iajs-221	333	133	sum	sum	NOUN
iajs-221	333	134	of	of	ADP
iajs-221	333	135	bab	bab	PROPN
iajs-221	333	136	method	method	NOUN
iajs-221	333	137	for	for	ADP
iajs-221	333	138	the	the	DET
iajs-221	333	139	problem	problem	NOUN
iajs-221	333	140	(	(	PUNCT
iajs-221	333	141	tp7	tp7	NOUN
iajs-221	333	142	)	)	PUNCT
iajs-221	333	143	.	.	PUNCT
iajs-221	334	1	in	in	ADP
iajs-221	334	2	tables	table	NOUN
iajs-221	334	3	(	(	PUNCT
iajs-221	334	4	3	3	NUM
iajs-221	334	5	)	)	PUNCT
iajs-221	334	6	and	and	CCONJ
iajs-221	334	7	(	(	PUNCT
iajs-221	334	8	4	4	X
iajs-221	334	9	)	)	PUNCT
iajs-221	334	10	we	we	PRON
iajs-221	334	11	have	have	VERB
iajs-221	334	12	:	:	PUNCT
iajs-221	334	13	n	n	CCONJ
iajs-221	334	14	:	:	PUNCT
iajs-221	334	15	number	number	NOUN
iajs-221	334	16	of	of	ADP
iajs-221	334	17	jobs	job	NOUN
iajs-221	334	18	ex	ex	NOUN
iajs-221	334	19	:	:	PUNCT
iajs-221	334	20	example	example	NOUN
iajs-221	334	21	number	number	NOUN
iajs-221	334	22	sum.ce	sum.ce	PROPN
iajs-221	334	23	:	:	PUNCT
iajs-221	334	24	the	the	DET
iajs-221	334	25	optimal	optimal	ADJ
iajs-221	334	26	value	value	NOUN
iajs-221	334	27	obtained	obtain	VERB
iajs-221	334	28	by	by	ADP
iajs-221	334	29	complete	complete	ADJ
iajs-221	334	30	enumeration	enumeration	NOUN
iajs-221	334	31	method	method	NOUN
iajs-221	334	32	(	(	PUNCT
iajs-221	334	33	cem	cem	NOUN
iajs-221	334	34	)	)	PUNCT
iajs-221	334	35	.	.	PUNCT
iajs-221	335	1	sum.bab	sum.bab	NUM
iajs-221	335	2	:	:	PUNCT
iajs-221	335	3	the	the	DET
iajs-221	335	4	optimal	optimal	ADJ
iajs-221	335	5	value	value	NOUN
iajs-221	335	6	obtained	obtain	VERB
iajs-221	335	7	by	by	ADP
iajs-221	335	8	bab	bab	PROPN
iajs-221	335	9	method	method	NOUN
iajs-221	335	10	with	with	ADP
iajs-221	335	11	dominance	dominance	NOUN
iajs-221	335	12	rule	rule	NOUN
iajs-221	335	13	.	.	PUNCT
iajs-221	336	1	(	(	PUNCT
iajs-221	336	2	*	*	PUNCT
iajs-221	336	3	):	):	PUNCT
iajs-221	336	4	indicates	indicate	VERB
iajs-221	336	5	that	that	SCONJ
iajs-221	336	6	the	the	DET
iajs-221	336	7	problem	problem	NOUN
iajs-221	336	8	unsolved	unsolve	VERB
iajs-221	336	9	within	within	ADP
iajs-221	336	10	the	the	DET
iajs-221	336	11	limit	limit	NOUN
iajs-221	336	12	of	of	ADP
iajs-221	336	13	1800	1800	NUM
iajs-221	336	14	seconds	second	NOUN
iajs-221	336	15	.	.	PUNCT
iajs-221	337	1	it	it	PRON
iajs-221	337	2	is	be	AUX
iajs-221	337	3	clear	clear	ADJ
iajs-221	337	4	from	from	ADP
iajs-221	337	5	table	table	NOUN
iajs-221	337	6	(	(	PUNCT
iajs-221	337	7	4	4	NUM
iajs-221	337	8	)	)	PUNCT
iajs-221	337	9	that	that	PRON
iajs-221	337	10	the	the	DET
iajs-221	337	11	bab	bab	PROPN
iajs-221	337	12	method	method	NOUN
iajs-221	337	13	is	be	AUX
iajs-221	337	14	satisfactory	satisfactory	ADJ
iajs-221	337	15	for	for	ADP
iajs-221	337	16	solving	solve	VERB
iajs-221	337	17	small	small	ADJ
iajs-221	337	18	sized	sized	ADJ
iajs-221	337	19	problems	problem	NOUN
iajs-221	337	20	.	.	PUNCT
iajs-221	338	1	however	however	ADV
iajs-221	338	2	,	,	PUNCT
iajs-221	338	3	a	a	DET
iajs-221	338	4	sharper	sharper	ADV
iajs-221	338	5	lower	low	ADJ
iajs-221	338	6	bound	bind	VERB
iajs-221	338	7	is	be	AUX
iajs-221	338	8	needed	need	VERB
iajs-221	338	9	to	to	PART
iajs-221	338	10	cut	cut	VERB
iajs-221	338	11	down	down	ADP
iajs-221	338	12	the	the	DET
iajs-221	338	13	size	size	NOUN
iajs-221	338	14	of	of	ADP
iajs-221	338	15	the	the	DET
iajs-221	338	16	search	search	NOUN
iajs-221	338	17	tree	tree	NOUN
iajs-221	338	18	when	when	SCONJ
iajs-221	338	19	the	the	DET
iajs-221	338	20	number	number	NOUN
iajs-221	338	21	of	of	ADP
iajs-221	338	22	jobs	job	NOUN
iajs-221	338	23	exceeds	exceed	VERB
iajs-221	338	24	10	10	NUM
iajs-221	338	25	.	.	PUNCT
iajs-221	339	1	1//∑ci+∑ti+tmax	1//∑ci+∑ti+tmax	NUM
iajs-221	339	2	n	n	X
iajs-221	339	3	ex	ex	PRON
iajs-221	339	4	sum.bab	sum.bab	NUM
iajs-221	339	5	n	n	NOUN
iajs-221	339	6	ex	ex	PRON
iajs-221	339	7	sum.bab	sum.bab	NUM
iajs-221	339	8	n	n	NOUN
iajs-221	339	9	ex	ex	PRON
iajs-221	339	10	sum.bab	sum.bab	NUM
iajs-221	339	11	n	n	NOUN
iajs-221	339	12	ex	ex	PRON
iajs-221	339	13	sum.bab	sum.bab	NUM
iajs-221	339	14	11	11	NUM
iajs-221	339	15	1	1	NUM
iajs-221	339	16	727	727	NUM
iajs-221	339	17	12	12	NUM
iajs-221	339	18	1	1	NUM
iajs-221	339	19	630	630	NUM
iajs-221	339	20	13	13	NUM
iajs-221	339	21	1	1	NUM
iajs-221	339	22	650	650	NUM
iajs-221	339	23	14	14	NUM
iajs-221	339	24	1	1	NUM
iajs-221	339	25	978	978	NUM
iajs-221	339	26	2	2	NUM
iajs-221	339	27	586	586	NUM
iajs-221	339	28	2	2	NUM
iajs-221	339	29	598	598	NUM
iajs-221	339	30	2	2	NUM
iajs-221	339	31	575	575	NUM
iajs-221	339	32	2	2	NUM
iajs-221	339	33	887	887	NUM
iajs-221	339	34	3	3	NUM
iajs-221	339	35	671	671	NUM
iajs-221	339	36	3	3	NUM
iajs-221	339	37	441	441	NUM
iajs-221	339	38	3	3	NUM
iajs-221	339	39	652	652	NUM
iajs-221	339	40	3	3	NUM
iajs-221	339	41	623	623	NUM
iajs-221	339	42	4	4	NUM
iajs-221	339	43	460	460	NUM
iajs-221	339	44	4	4	NUM
iajs-221	339	45	689	689	NUM
iajs-221	339	46	4	4	NUM
iajs-221	339	47	573	573	NUM
iajs-221	339	48	4	4	NUM
iajs-221	339	49	383	383	NUM
iajs-221	339	50	5	5	NUM
iajs-221	339	51	430	430	NUM
iajs-221	339	52	5	5	NUM
iajs-221	339	53	630	630	NUM
iajs-221	339	54	5	5	NUM
iajs-221	339	55	619	619	NUM
iajs-221	339	56	5	5	NUM
iajs-221	339	57	962	962	NUM
iajs-221	339	58	15	15	NUM
iajs-221	339	59	1	1	NUM
iajs-221	339	60	895	895	NUM
iajs-221	339	61	16	16	NUM
iajs-221	339	62	1	1	NUM
iajs-221	339	63	1046	1046	NUM
iajs-221	339	64	17	17	NUM
iajs-221	339	65	1	1	NUM
iajs-221	339	66	*	*	SYM
iajs-221	339	67	18	18	NUM
iajs-221	339	68	1	1	NUM
iajs-221	339	69	1287	1287	NUM
iajs-221	339	70	2	2	NUM
iajs-221	339	71	966	966	NUM
iajs-221	339	72	2	2	NUM
iajs-221	339	73	791	791	NUM
iajs-221	339	74	2	2	NUM
iajs-221	339	75	758	758	NUM
iajs-221	339	76	2	2	NUM
iajs-221	339	77	*	*	SYM
iajs-221	339	78	3	3	NUM
iajs-221	339	79	779	779	NUM
iajs-221	339	80	3	3	NUM
iajs-221	339	81	898	898	NUM
iajs-221	339	82	3	3	NUM
iajs-221	339	83	919	919	NUM
iajs-221	339	84	3	3	NUM
iajs-221	339	85	*	*	SYM
iajs-221	339	86	4	4	NUM
iajs-221	339	87	909	909	NUM
iajs-221	339	88	4	4	NUM
iajs-221	339	89	925	925	NUM
iajs-221	339	90	4	4	NUM
iajs-221	339	91	*	*	SYM
iajs-221	339	92	4	4	NUM
iajs-221	339	93	1532	1532	NUM
iajs-221	339	94	5	5	NUM
iajs-221	339	95	916	916	NUM
iajs-221	339	96	5	5	NUM
iajs-221	339	97	643	643	NUM
iajs-221	339	98	5	5	NUM
iajs-221	339	99	*	*	SYM
iajs-221	339	100	5	5	NUM
iajs-221	339	101	1515	1515	NUM
iajs-221	339	102	168	168	NUM
iajs-221	339	103	|	|	NOUN
iajs-221	339	104	mathematics	mathematic	NOUN
iajs-221	339	105	٢٠١٥	٢٠١٥	NUM
iajs-221	339	106	)	)	PUNCT
iajs-221	339	107	عام	عام	ADP
iajs-221	339	108	٢العدد	٢العدد	PROPN
iajs-221	339	109	(	(	PUNCT
iajs-221	339	110	٢٨مجلة	٢٨مجلة	X
iajs-221	339	111	ابن	ابن	PROPN
iajs-221	339	112	الھيثم	الھيثم	PROPN
iajs-221	339	113	للعلوم	للعلوم	PROPN
iajs-221	339	114	الصرفة	الصرفة	PROPN
iajs-221	339	115	والتطبيقية	والتطبيقية	PRON
iajs-221	339	116	المجلد	المجلد	VERB
iajs-221	339	117	ibn	ibn	PROPN
iajs-221	339	118	al	al	PROPN
iajs-221	339	119	-	-	PUNCT
iajs-221	339	120	haitham	haitham	PROPN
iajs-221	339	121	.	.	PUNCT
iajs-221	340	1	j.	j.	PROPN
iajs-221	340	2	for	for	ADP
iajs-221	340	3	pure	pure	PROPN
iajs-221	340	4	&	&	CCONJ
iajs-221	340	5	appl	appl	PROPN
iajs-221	340	6	.	.	PUNCT
iajs-221	341	1	sci	sci	PROPN
iajs-221	341	2	.	.	PUNCT
iajs-221	341	3	vol	vol	NOUN
iajs-221	341	4	.	.	PROPN
iajs-221	342	1	28	28	NUM
iajs-221	342	2	(	(	PUNCT
iajs-221	342	3	2	2	NUM
iajs-221	342	4	)	)	PUNCT
iajs-221	342	5	2015	2015	NUM
iajs-221	342	6	table	table	NOUN
iajs-221	342	7	no.(5	no.(5	NOUN
iajs-221	342	8	):	):	PUNCT
iajs-221	342	9	shows	show	VERB
iajs-221	342	10	the	the	DET
iajs-221	342	11	performance	performance	NOUN
iajs-221	342	12	of	of	ADP
iajs-221	342	13	the	the	DET
iajs-221	342	14	two	two	NUM
iajs-221	342	15	proposed	propose	VERB
iajs-221	342	16	algorithms	algorithm	NOUN
iajs-221	342	17	with	with	ADP
iajs-221	342	18	(	(	PUNCT
iajs-221	342	19	cem	cem	NOUN
iajs-221	342	20	)	)	PUNCT
iajs-221	342	21	for	for	ADP
iajs-221	342	22	n≤10	n≤10	NOUN
iajs-221	342	23	for	for	ADP
iajs-221	342	24	the	the	DET
iajs-221	342	25	problem	problem	NOUN
iajs-221	342	26	(	(	PUNCT
iajs-221	342	27	tp	tp	NOUN
iajs-221	342	28	)	)	PUNCT
iajs-221	342	29	.	.	PUNCT
iajs-221	343	1	efficient	efficient	ADJ
iajs-221	343	2	solutions	solution	NOUN
iajs-221	343	3	(	(	PUNCT
iajs-221	343	4	∑ci	∑ci	X
iajs-221	343	5	,	,	PUNCT
iajs-221	343	6	∑ti	∑ti	NUM
iajs-221	343	7	,	,	PUNCT
iajs-221	343	8	tmax	tmax	NUM
iajs-221	343	9	)	)	PUNCT
iajs-221	343	10	n	n	CCONJ
iajs-221	343	11	ex	ex	NOUN
iajs-221	343	12	|cem|	|cem|	NOUN
iajs-221	343	13	alg(atp	alg(atp	NOUN
iajs-221	343	14	)	)	PUNCT
iajs-221	343	15	alg(ztp	alg(ztp	NOUN
iajs-221	343	16	)	)	PUNCT
iajs-221	343	17	|es1|	|es1|	PUNCT
iajs-221	344	1	|es2|	|es2|	PROPN
iajs-221	344	2	4	4	NUM
iajs-221	344	3	1	1	NUM
iajs-221	344	4	1	1	NUM
iajs-221	344	5	1	1	NUM
iajs-221	344	6	1	1	NUM
iajs-221	344	7	2	2	NUM
iajs-221	344	8	1	1	NUM
iajs-221	344	9	1	1	NUM
iajs-221	344	10	1	1	NUM
iajs-221	344	11	3	3	NUM
iajs-221	344	12	1	1	NUM
iajs-221	344	13	1	1	NUM
iajs-221	344	14	1	1	NUM
iajs-221	344	15	4	4	NUM
iajs-221	344	16	1	1	NUM
iajs-221	344	17	1	1	NUM
iajs-221	344	18	1	1	NUM
iajs-221	344	19	5	5	NUM
iajs-221	344	20	2	2	NUM
iajs-221	344	21	1	1	NUM
iajs-221	344	22	2	2	NUM
iajs-221	344	23	5	5	NUM
iajs-221	344	24	1	1	NUM
iajs-221	344	25	1	1	NUM
iajs-221	344	26	1	1	NUM
iajs-221	344	27	1	1	NUM
iajs-221	344	28	2	2	NUM
iajs-221	344	29	1	1	NUM
iajs-221	344	30	1	1	NUM
iajs-221	344	31	1	1	NUM
iajs-221	344	32	3	3	NUM
iajs-221	344	33	1	1	NUM
iajs-221	344	34	1	1	NUM
iajs-221	344	35	1	1	NUM
iajs-221	344	36	4	4	NUM
iajs-221	344	37	2	2	NUM
iajs-221	344	38	1	1	NUM
iajs-221	344	39	2	2	NUM
iajs-221	344	40	5	5	NUM
iajs-221	344	41	3	3	NUM
iajs-221	344	42	1	1	NUM
iajs-221	344	43	3	3	NUM
iajs-221	344	44	6	6	NUM
iajs-221	344	45	1	1	NUM
iajs-221	344	46	2	2	NUM
iajs-221	344	47	1	1	NUM
iajs-221	344	48	2	2	NUM
iajs-221	344	49	2	2	NUM
iajs-221	344	50	1	1	NUM
iajs-221	344	51	1	1	NUM
iajs-221	344	52	1	1	NUM
iajs-221	344	53	3	3	NUM
iajs-221	344	54	1	1	NUM
iajs-221	344	55	1	1	NUM
iajs-221	344	56	1	1	NUM
iajs-221	344	57	4	4	NUM
iajs-221	344	58	6	6	NUM
iajs-221	344	59	2	2	NUM
iajs-221	344	60	6	6	NUM
iajs-221	344	61	5	5	NUM
iajs-221	344	62	5	5	NUM
iajs-221	344	63	2	2	NUM
iajs-221	344	64	5	5	NUM
iajs-221	344	65	7	7	NUM
iajs-221	344	66	1	1	NUM
iajs-221	344	67	1	1	NUM
iajs-221	344	68	1	1	NUM
iajs-221	344	69	1	1	NUM
iajs-221	344	70	2	2	NUM
iajs-221	344	71	2	2	NUM
iajs-221	344	72	1	1	NUM
iajs-221	344	73	2	2	NUM
iajs-221	344	74	3	3	NUM
iajs-221	344	75	6	6	NUM
iajs-221	344	76	3	3	NUM
iajs-221	344	77	6	6	NUM
iajs-221	344	78	4	4	NUM
iajs-221	344	79	3	3	NUM
iajs-221	344	80	2	2	NUM
iajs-221	344	81	3	3	NUM
iajs-221	344	82	5	5	NUM
iajs-221	344	83	9	9	NUM
iajs-221	344	84	2	2	NUM
iajs-221	344	85	9	9	NUM
iajs-221	344	86	8	8	NUM
iajs-221	344	87	1	1	NUM
iajs-221	344	88	1	1	NUM
iajs-221	344	89	1	1	NUM
iajs-221	344	90	1	1	NUM
iajs-221	344	91	2	2	NUM
iajs-221	344	92	1	1	NUM
iajs-221	344	93	1	1	NUM
iajs-221	344	94	1	1	NUM
iajs-221	344	95	3	3	NUM
iajs-221	344	96	6	6	NUM
iajs-221	344	97	2	2	NUM
iajs-221	344	98	6	6	NUM
iajs-221	344	99	4	4	NUM
iajs-221	344	100	3	3	NUM
iajs-221	344	101	1	1	NUM
iajs-221	344	102	3	3	NUM
iajs-221	344	103	5	5	NUM
iajs-221	344	104	5	5	NUM
iajs-221	344	105	1	1	NUM
iajs-221	344	106	5	5	NUM
iajs-221	344	107	9	9	NUM
iajs-221	344	108	1	1	NUM
iajs-221	344	109	1	1	NUM
iajs-221	344	110	1	1	NUM
iajs-221	344	111	1	1	NUM
iajs-221	344	112	2	2	NUM
iajs-221	344	113	3	3	NUM
iajs-221	344	114	1	1	NUM
iajs-221	344	115	3	3	NUM
iajs-221	344	116	3	3	NUM
iajs-221	344	117	3	3	NUM
iajs-221	344	118	1	1	NUM
iajs-221	344	119	3	3	NUM
iajs-221	344	120	4	4	NUM
iajs-221	344	121	19	19	NUM
iajs-221	344	122	2	2	NUM
iajs-221	344	123	19	19	NUM
iajs-221	344	124	5	5	NUM
iajs-221	344	125	8	8	NUM
iajs-221	344	126	3	3	NUM
iajs-221	344	127	8	8	NUM
iajs-221	344	128	10	10	NUM
iajs-221	344	129	1	1	NUM
iajs-221	344	130	2	2	NUM
iajs-221	344	131	1	1	NUM
iajs-221	344	132	2	2	NUM
iajs-221	344	133	2	2	NUM
iajs-221	344	134	1	1	NUM
iajs-221	344	135	1	1	NUM
iajs-221	344	136	1	1	NUM
iajs-221	344	137	3	3	NUM
iajs-221	344	138	7	7	NUM
iajs-221	344	139	2	2	NUM
iajs-221	344	140	7	7	NUM
iajs-221	344	141	4	4	NUM
iajs-221	344	142	7	7	NUM
iajs-221	344	143	2	2	NUM
iajs-221	344	144	7	7	NUM
iajs-221	344	145	5	5	NUM
iajs-221	344	146	10	10	NUM
iajs-221	344	147	3	3	NUM
iajs-221	344	148	10	10	NUM
iajs-221	344	149	total	total	NOUN
iajs-221	344	150	127	127	NUM
iajs-221	344	151	49	49	NUM
iajs-221	344	152	127	127	NUM
iajs-221	344	153	169	169	NUM
iajs-221	344	154	|	|	NOUN
iajs-221	344	155	mathematics	mathematic	NOUN
iajs-221	344	156	٢٠١٥	٢٠١٥	NUM
iajs-221	344	157	)	)	PUNCT
iajs-221	344	158	عام	عام	ADP
iajs-221	344	159	٢العدد	٢العدد	PROPN
iajs-221	344	160	(	(	PUNCT
iajs-221	344	161	٢٨مجلة	٢٨مجلة	X
iajs-221	344	162	ابن	ابن	PROPN
iajs-221	344	163	الھيثم	الھيثم	PROPN
iajs-221	344	164	للعلوم	للعلوم	PROPN
iajs-221	344	165	الصرفة	الصرفة	PROPN
iajs-221	344	166	والتطبيقية	والتطبيقية	PRON
iajs-221	344	167	المجلد	المجلد	VERB
iajs-221	344	168	ibn	ibn	PROPN
iajs-221	344	169	al	al	PROPN
iajs-221	344	170	-	-	PUNCT
iajs-221	344	171	haitham	haitham	PROPN
iajs-221	344	172	.	.	PUNCT
iajs-221	345	1	j.	j.	PROPN
iajs-221	345	2	for	for	ADP
iajs-221	345	3	pure	pure	PROPN
iajs-221	345	4	&	&	CCONJ
iajs-221	345	5	appl	appl	PROPN
iajs-221	345	6	.	.	PUNCT
iajs-221	346	1	sci	sci	PROPN
iajs-221	346	2	.	.	PUNCT
iajs-221	346	3	vol	vol	NOUN
iajs-221	346	4	.	.	PROPN
iajs-221	347	1	28	28	NUM
iajs-221	347	2	(	(	PUNCT
iajs-221	347	3	2	2	NUM
iajs-221	347	4	)	)	PUNCT
iajs-221	347	5	2015	2015	NUM
iajs-221	347	6	table	table	NOUN
iajs-221	347	7	no.(6	no.(6	NOUN
iajs-221	347	8	):	):	PUNCT
iajs-221	347	9	shows	show	VERB
iajs-221	347	10	a	a	DET
iajs-221	347	11	comparison	comparison	NOUN
iajs-221	347	12	of	of	ADP
iajs-221	347	13	these	these	DET
iajs-221	347	14	two	two	NUM
iajs-221	347	15	algorithms	algorithm	NOUN
iajs-221	347	16	(	(	PUNCT
iajs-221	347	17	atp	atp	NOUN
iajs-221	347	18	and	and	CCONJ
iajs-221	347	19	ztp	ztp	PROPN
iajs-221	347	20	)	)	PUNCT
iajs-221	347	21	for	for	ADP
iajs-221	347	22	the	the	DET
iajs-221	347	23	problem	problem	NOUN
iajs-221	347	24	(	(	PUNCT
iajs-221	347	25	tp	tp	NOUN
iajs-221	347	26	)	)	PUNCT
iajs-221	347	27	.	.	PUNCT
iajs-221	348	1	efficient	efficient	ADJ
iajs-221	348	2	solutions	solution	NOUN
iajs-221	348	3	(	(	PUNCT
iajs-221	348	4	∑ci	∑ci	X
iajs-221	348	5	,	,	PUNCT
iajs-221	348	6	∑ti	∑ti	NUM
iajs-221	348	7	,	,	PUNCT
iajs-221	348	8	tmax	tmax	NUM
iajs-221	348	9	)	)	PUNCT
iajs-221	348	10	n	n	CCONJ
iajs-221	348	11	ex	ex	X
iajs-221	348	12	alg(atp	alg(atp	X
iajs-221	348	13	)	)	PUNCT
iajs-221	348	14	alg(ztp	alg(ztp	NOUN
iajs-221	348	15	)	)	PUNCT
iajs-221	348	16	|es1|	|es1|	PUNCT
iajs-221	349	1	|es2|	|es2|	PROPN
iajs-221	349	2	11	11	NUM
iajs-221	350	1	1	1	NUM
iajs-221	350	2	1	1	NUM
iajs-221	350	3	1	1	NUM
iajs-221	350	4	2	2	NUM
iajs-221	350	5	2	2	NUM
iajs-221	350	6	8	8	NUM
iajs-221	350	7	3	3	NUM
iajs-221	350	8	2	2	NUM
iajs-221	350	9	8	8	NUM
iajs-221	350	10	4	4	NUM
iajs-221	350	11	3	3	NUM
iajs-221	350	12	6	6	NUM
iajs-221	350	13	5	5	NUM
iajs-221	350	14	6	6	NUM
iajs-221	350	15	39	39	NUM
iajs-221	350	16	12	12	NUM
iajs-221	350	17	1	1	NUM
iajs-221	350	18	2	2	NUM
iajs-221	350	19	8	8	NUM
iajs-221	350	20	2	2	NUM
iajs-221	350	21	2	2	NUM
iajs-221	350	22	14	14	NUM
iajs-221	350	23	3	3	NUM
iajs-221	350	24	2	2	NUM
iajs-221	350	25	10	10	NUM
iajs-221	350	26	4	4	NUM
iajs-221	350	27	2	2	NUM
iajs-221	350	28	12	12	NUM
iajs-221	350	29	5	5	NUM
iajs-221	350	30	9	9	NUM
iajs-221	350	31	118	118	NUM
iajs-221	350	32	13	13	NUM
iajs-221	350	33	1	1	NUM
iajs-221	350	34	1	1	NUM
iajs-221	350	35	3	3	NUM
iajs-221	350	36	2	2	NUM
iajs-221	350	37	3	3	NUM
iajs-221	350	38	26	26	NUM
iajs-221	350	39	3	3	NUM
iajs-221	350	40	6	6	NUM
iajs-221	350	41	54	54	NUM
iajs-221	350	42	4	4	NUM
iajs-221	350	43	6	6	NUM
iajs-221	350	44	46	46	NUM
iajs-221	350	45	5	5	NUM
iajs-221	350	46	4	4	NUM
iajs-221	350	47	36	36	NUM
iajs-221	350	48	14	14	NUM
iajs-221	350	49	1	1	NUM
iajs-221	350	50	2	2	NUM
iajs-221	350	51	7	7	NUM
iajs-221	350	52	2	2	NUM
iajs-221	350	53	2	2	NUM
iajs-221	350	54	8	8	NUM
iajs-221	350	55	3	3	NUM
iajs-221	350	56	2	2	NUM
iajs-221	350	57	8	8	NUM
iajs-221	350	58	4	4	NUM
iajs-221	350	59	4	4	NUM
iajs-221	350	60	21	21	NUM
iajs-221	350	61	5	5	NUM
iajs-221	350	62	1	1	NUM
iajs-221	350	63	1	1	NUM
iajs-221	350	64	15	15	NUM
iajs-221	350	65	1	1	NUM
iajs-221	350	66	2	2	NUM
iajs-221	350	67	2	2	NUM
iajs-221	350	68	2	2	NUM
iajs-221	350	69	5	5	NUM
iajs-221	350	70	5	5	NUM
iajs-221	350	71	3	3	NUM
iajs-221	350	72	4	4	NUM
iajs-221	350	73	15	15	NUM
iajs-221	350	74	4	4	NUM
iajs-221	350	75	1	1	NUM
iajs-221	350	76	3	3	NUM
iajs-221	350	77	5	5	NUM
iajs-221	350	78	3	3	NUM
iajs-221	350	79	6	6	NUM
iajs-221	350	80	16	16	NUM
iajs-221	350	81	1	1	NUM
iajs-221	350	82	2	2	NUM
iajs-221	350	83	8	8	NUM
iajs-221	350	84	2	2	NUM
iajs-221	350	85	1	1	NUM
iajs-221	350	86	9	9	NUM
iajs-221	350	87	3	3	NUM
iajs-221	350	88	1	1	NUM
iajs-221	350	89	5	5	NUM
iajs-221	350	90	4	4	NUM
iajs-221	350	91	4	4	NUM
iajs-221	350	92	4	4	NUM
iajs-221	350	93	5	5	NUM
iajs-221	350	94	2	2	NUM
iajs-221	350	95	22	22	NUM
iajs-221	350	96	17	17	NUM
iajs-221	350	97	1	1	NUM
iajs-221	350	98	2	2	NUM
iajs-221	350	99	*	*	SYM
iajs-221	350	100	2	2	NUM
iajs-221	350	101	2	2	NUM
iajs-221	350	102	12	12	NUM
iajs-221	350	103	3	3	NUM
iajs-221	350	104	1	1	NUM
iajs-221	350	105	3	3	NUM
iajs-221	350	106	4	4	NUM
iajs-221	350	107	4	4	NUM
iajs-221	350	108	*	*	SYM
iajs-221	350	109	5	5	NUM
iajs-221	350	110	4	4	NUM
iajs-221	350	111	*	*	SYM
iajs-221	350	112	18	18	NUM
iajs-221	350	113	1	1	NUM
iajs-221	350	114	1	1	NUM
iajs-221	350	115	5	5	NUM
iajs-221	350	116	2	2	NUM
iajs-221	350	117	2	2	NUM
iajs-221	350	118	*	*	SYM
iajs-221	350	119	3	3	NUM
iajs-221	350	120	7	7	NUM
iajs-221	350	121	*	*	SYM
iajs-221	350	122	4	4	NUM
iajs-221	350	123	1	1	NUM
iajs-221	350	124	2	2	NUM
iajs-221	350	125	5	5	NUM
iajs-221	350	126	2	2	NUM
iajs-221	350	127	2	2	NUM
iajs-221	350	128	in	in	ADP
iajs-221	350	129	tables	table	NOUN
iajs-221	350	130	(	(	PUNCT
iajs-221	350	131	5	5	NUM
iajs-221	350	132	)	)	PUNCT
iajs-221	350	133	and	and	CCONJ
iajs-221	350	134	(	(	PUNCT
iajs-221	350	135	6	6	X
iajs-221	350	136	)	)	PUNCT
iajs-221	350	137	we	we	PRON
iajs-221	350	138	have	have	VERB
iajs-221	350	139	:	:	PUNCT
iajs-221	350	140	n	n	CCONJ
iajs-221	350	141	:	:	PUNCT
iajs-221	350	142	number	number	NOUN
iajs-221	350	143	of	of	ADP
iajs-221	350	144	jobs	job	NOUN
iajs-221	350	145	ex	ex	NOUN
iajs-221	350	146	:	:	PUNCT
iajs-221	350	147	example	example	NOUN
iajs-221	350	148	number	number	NOUN
iajs-221	350	149	|es1|	|es1|	PROPN
iajs-221	350	150	:	:	PUNCT
iajs-221	350	151	the	the	DET
iajs-221	350	152	cardinal	cardinal	ADJ
iajs-221	350	153	number	number	NOUN
iajs-221	350	154	of	of	ADP
iajs-221	350	155	efficient	efficient	ADJ
iajs-221	350	156	solutions	solution	NOUN
iajs-221	350	157	for	for	ADP
iajs-221	350	158	the	the	DET
iajs-221	350	159	set	set	NOUN
iajs-221	350	160	es1	es1	PROPN
iajs-221	350	161	.	.	PUNCT
iajs-221	351	1	|es2|	|es2|	PROPN
iajs-221	351	2	:	:	PUNCT
iajs-221	351	3	the	the	DET
iajs-221	351	4	cardinal	cardinal	ADJ
iajs-221	351	5	number	number	NOUN
iajs-221	351	6	of	of	ADP
iajs-221	351	7	efficient	efficient	ADJ
iajs-221	351	8	solutions	solution	NOUN
iajs-221	351	9	for	for	ADP
iajs-221	351	10	the	the	DET
iajs-221	351	11	set	set	PROPN
iajs-221	351	12	es2	es2	PROPN
iajs-221	351	13	.	.	PUNCT
iajs-221	352	1	(	(	PUNCT
iajs-221	352	2	*	*	PUNCT
iajs-221	352	3	):	):	PUNCT
iajs-221	352	4	indicates	indicate	VERB
iajs-221	352	5	that	that	SCONJ
iajs-221	352	6	the	the	DET
iajs-221	352	7	problem	problem	NOUN
iajs-221	352	8	unsolved	unsolve	VERB
iajs-221	352	9	within	within	ADP
iajs-221	352	10	the	the	DET
iajs-221	352	11	limit	limit	NOUN
iajs-221	352	12	of	of	ADP
iajs-221	352	13	1800	1800	NUM
iajs-221	352	14	seconds	second	NOUN
iajs-221	352	15	.	.	PUNCT
iajs-221	353	1	it	it	PRON
iajs-221	353	2	is	be	AUX
iajs-221	353	3	clear	clear	ADJ
iajs-221	353	4	from	from	ADP
iajs-221	353	5	the	the	DET
iajs-221	353	6	results	result	NOUN
iajs-221	353	7	of	of	ADP
iajs-221	353	8	tables	table	NOUN
iajs-221	353	9	(	(	PUNCT
iajs-221	353	10	5	5	NUM
iajs-221	353	11	)	)	PUNCT
iajs-221	353	12	and	and	CCONJ
iajs-221	353	13	(	(	PUNCT
iajs-221	353	14	6	6	NUM
iajs-221	353	15	)	)	PUNCT
iajs-221	353	16	that	that	DET
iajs-221	353	17	alg.(ztp	alg.(ztp	NOUN
iajs-221	353	18	)	)	PUNCT
iajs-221	353	19	is	be	AUX
iajs-221	353	20	better	well	ADJ
iajs-221	353	21	than	than	ADP
iajs-221	353	22	the	the	DET
iajs-221	353	23	alg.(atp	alg.(atp	NOUN
iajs-221	353	24	)	)	PUNCT
iajs-221	353	25	for	for	ADP
iajs-221	353	26	generating	generate	VERB
iajs-221	353	27	the	the	DET
iajs-221	353	28	total	total	ADJ
iajs-221	353	29	number	number	NOUN
iajs-221	353	30	of	of	ADP
iajs-221	353	31	non	non	NOUN
iajs-221	353	32	dominated	dominate	VERB
iajs-221	353	33	solutions	solution	NOUN
iajs-221	353	34	for	for	ADP
iajs-221	353	35	the	the	DET
iajs-221	353	36	np	np	NOUN
iajs-221	353	37	-	-	PUNCT
iajs-221	353	38	hard	hard	ADJ
iajs-221	353	39	multicriteria	multicriteria	NOUN
iajs-221	353	40	problem	problem	NOUN
iajs-221	353	41	(	(	PUNCT
iajs-221	353	42	tp	tp	NOUN
iajs-221	353	43	)	)	PUNCT
iajs-221	353	44	.	.	PUNCT
iajs-221	354	1	170	170	NUM
iajs-221	355	1	|	|	ADV
iajs-221	355	2	mathematics	mathematic	NOUN
iajs-221	355	3	٢٠١٥	٢٠١٥	NUM
iajs-221	355	4	)	)	PUNCT
iajs-221	355	5	عام	عام	ADP
iajs-221	355	6	٢العدد	٢العدد	PROPN
iajs-221	355	7	(	(	PUNCT
iajs-221	355	8	٢٨مجلة	٢٨مجلة	X
iajs-221	355	9	ابن	ابن	PROPN
iajs-221	355	10	الھيثم	الھيثم	PROPN
iajs-221	355	11	للعلوم	للعلوم	PROPN
iajs-221	355	12	الصرفة	الصرفة	PROPN
iajs-221	355	13	والتطبيقية	والتطبيقية	PRON
iajs-221	355	14	المجلد	المجلد	VERB
iajs-221	355	15	ibn	ibn	PROPN
iajs-221	355	16	al	al	PROPN
iajs-221	355	17	-	-	PUNCT
iajs-221	355	18	haitham	haitham	PROPN
iajs-221	355	19	.	.	PUNCT
iajs-221	356	1	j.	j.	PROPN
iajs-221	356	2	for	for	ADP
iajs-221	356	3	pure	pure	PROPN
iajs-221	356	4	&	&	CCONJ
iajs-221	356	5	appl	appl	PROPN
iajs-221	356	6	.	.	PUNCT
iajs-221	357	1	sci	sci	PROPN
iajs-221	357	2	.	.	PUNCT
iajs-221	357	3	vol	vol	NOUN
iajs-221	357	4	.	.	PROPN
iajs-221	358	1	28	28	NUM
iajs-221	358	2	(	(	PUNCT
iajs-221	358	3	2	2	NUM
iajs-221	358	4	)	)	PUNCT
iajs-221	358	5	2015	2015	NUM
iajs-221	358	6	لبتصغير	لبتصغير	NOUN
iajs-221	358	7	مجموع	مجموع	PROPN
iajs-221	358	8	أوقات	أوقات	PROPN
iajs-221	358	9	األتمام	األتمام	PROPN
iajs-221	358	10	،	،	PROPN
iajs-221	358	11	مجموع	مجموع	PROPN
iajs-221	358	12	التأخير	التأخير	PROPN
iajs-221	358	13	الالسالب	الالسالب	PROPN
iajs-221	358	14	وأكبر	وأكبر	PROPN
iajs-221	358	15	تأخير	تأخير	PROPN
iajs-221	358	16	السا	السا	PROPN
iajs-221	358	17	طارق	طارق	NOUN
iajs-221	358	18	صالح	صالح	NOUN
iajs-221	358	19	عبد	عبد	PROPN
iajs-221	358	20	الرزاق	الرزاق	PROPN
iajs-221	358	21	زينب	زينب	PROPN
iajs-221	358	22	محروز	محروز	PROPN
iajs-221	358	23	علي	علي	NOUN
iajs-221	358	24	قسم	قسم	PROPN
iajs-221	358	25	الرياضيات	الرياضيات	PROPN
iajs-221	358	26	\كلية	\كلية	PROPN
iajs-221	358	27	العلوم	العلوم	NOUN
iajs-221	358	28	\الجامعة	\الجامعة	PROPN
iajs-221	358	29	المستنصرية	المستنصرية	NOUN
iajs-221	358	30	٢٠١٥نيسان	٢٠١٥نيسان	NOUN
iajs-221	358	31	26في	26في	NOUN
iajs-221	358	32	:	:	PUNCT
iajs-221	358	33	البحث	البحث	PROPN
iajs-221	358	34	،	،	PROPN
iajs-221	358	35	قبل٢٠١٥شباط	قبل٢٠١٥شباط	PROPN
iajs-221	358	36	25	25	NUM
iajs-221	358	37	:	:	PUNCT
iajs-221	358	38	في	في	ADP
iajs-221	358	39	استلم	استلم	PROPN
iajs-221	358	40	البحث	البحث	PROPN
iajs-221	358	41	الخالصة	الخالصة	PROPN
iajs-221	358	42	من	من	PROPN
iajs-221	358	43	االعمال	االعمال	PROPN
iajs-221	358	44	على	على	PROPN
iajs-221	358	45	ماكنة	ماكنة	PROPN
iajs-221	358	46	واحدة	واحدة	NOUN
iajs-221	358	47	.	.	PUNCT
iajs-221	359	1	nالعمل	nالعمل	ADJ
iajs-221	359	2	الرئيسي	الرئيسي	PROPN
iajs-221	359	3	ھو	ھو	PROPN
iajs-221	359	4	تصغير	تصغير	PROPN
iajs-221	359	5	دالة	دالة	NOUN
iajs-221	359	6	لثالثة	لثالثة	PROPN
iajs-221	359	7	معايير	معايير	PROPN
iajs-221	359	8	والحاصلة	والحاصلة	PROPN
iajs-221	359	9	من	من	PRON
iajs-221	359	10	جدولة	جدولة	NOUN
iajs-221	359	11	البحث،في	البحث،في	PROPN
iajs-221	360	1	ھذا	ھذا	INTJ
iajs-221	360	2	لحل	لحل	INTJ
iajs-221	360	3	مسألة	مسألة	PROPN
iajs-221	360	4	جدولة	جدولة	PROPN
iajs-221	360	5	الماكنة	الماكنة	PROPN
iajs-221	360	6	متعددة	متعددة	VERB
iajs-221	360	7	األھداف	األھداف	NOUN
iajs-221	360	8	.	.	PUNCT
iajs-221	361	1	وفي	وفي	PROPN
iajs-221	361	2	ھذه	ھذه	PROPN
iajs-221	361	3	المسألة	المسألة	ADJ
iajs-221	361	4	أخذنا	أخذنا	PROPN
iajs-221	361	5	بنظر	بنظر	PROPN
iajs-221	361	6	االعتبار	االعتبار	PROPN
iajs-221	361	7	تصغير	تصغير	NOUN
iajs-221	361	8	األھداف	األھداف	NOUN
iajs-221	361	9	اقترحنا	اقترحنا	PROPN
iajs-221	361	10	خوارزميات	خوارزميات	PROPN
iajs-221	361	11	مجموع	مجموع	PROPN
iajs-221	361	12	أوقات	أوقات	PROPN
iajs-221	361	13	االتمام	االتمام	PROPN
iajs-221	361	14	،	،	PROPN
iajs-221	361	15	مجموع	مجموع	PROPN
iajs-221	361	16	التأخير	التأخير	PROPN
iajs-221	361	17	الالسالب	الالسالب	PROPN
iajs-221	361	18	وأكبر	وأكبر	PROPN
iajs-221	361	19	تأخير	تأخير	PROPN
iajs-221	361	20	السالب	السالب	PROPN
iajs-221	361	21	.	.	PUNCT
iajs-221	362	1	متعددة	متعددة	VERB
iajs-221	362	2	األھداف	األھداف	NOUN
iajs-221	362	3	)	)	PUNCT
iajs-221	362	4	.	.	PUNCT
iajs-221	363	1	ثانياً	ثانياً	PROPN
iajs-221	363	2	تم	تم	PROPN
iajs-221	363	3	مقارنة	مقارنة	PROPN
iajs-221	363	4	خوارزميتان	خوارزميتان	NOUN
iajs-221	363	5	للدوال	للدوال	ADP
iajs-221	363	6	max+ti+∑ti1//∑cأوالً	max+ti+∑ti1//∑cأوالً	PROPN
iajs-221	363	7	خوارزمية	خوارزمية	PROPN
iajs-221	363	8	التفرع	التفرع	PROPN
iajs-221	363	9	والتقيد	والتقيد	PROPN
iajs-221	363	10	استخدمت	استخدمت	PROPN
iajs-221	363	11	للمسألة	للمسألة	PROPN
iajs-221	364	1	(	(	PUNCT
iajs-221	364	2	.max	.max	PROPN
iajs-221	364	3	,	,	PUNCT
iajs-221	364	4	ti,∑ti1//(∑c(واحداھما	ti,∑ti1//(∑c(واحداھما	X
iajs-221	364	5	تعتمد	تعتمد	ADJ
iajs-221	364	6	على	على	NOUN
iajs-221	364	7	طريقة	طريقة	NOUN
iajs-221	364	8	التفرع	التفرع	PROPN
iajs-221	364	9	والتقيد	والتقيد	PROPN
iajs-221	364	10	في	في	PROPN
iajs-221	364	11	أيجاد	أيجاد	PROPN
iajs-221	364	12	مجموعة	مجموعة	PROPN
iajs-221	364	13	الحلول	الحلول	PROPN
iajs-221	364	14	الكفؤة	الكفؤة	PROPN
iajs-221	364	15	(	(	PUNCT
iajs-221	364	16	غير	غير	X
iajs-221	364	17	المھيمن	المھيمن	PROPN
iajs-221	364	18	عليھا	عليھا	PROPN
iajs-221	364	19	)	)	PUNCT
iajs-221	365	1	للمسألة	للمسألة	VERB
iajs-221	365	2	ومن	ومن	PROPN
iajs-221	365	3	النتائج	النتائج	PROPN
iajs-221	365	4	الحسابية	الحسابية	PROPN
iajs-221	365	5	تبين	تبين	PROPN
iajs-221	366	1	ان	ان	INTJ
iajs-221	366	2	الخوارزمية	الخوارزمية	ADJ
iajs-221	366	3	التي	التي	PROPN
iajs-221	366	4	تعتمد	تعتمد	PROPN
iajs-221	366	5	على	على	PROPN
iajs-221	366	6	خوارزمية	خوارزمية	ADJ
iajs-221	366	7	التفرع	التفرع	PROPN
iajs-221	366	8	والتقيد	والتقيد	PROPN
iajs-221	366	9	ھي	ھي	PUNCT
iajs-221	366	10	األفضل	األفضل	PROPN
iajs-221	366	11	من	من	INTJ
iajs-221	366	12	األخرى	األخرى	PROPN
iajs-221	366	13	في	في	SCONJ
iajs-221	366	14	ايجاد	ايجاد	PROPN
iajs-221	366	15	العدد	العدد	PROPN
iajs-221	366	16	الكلي	الكلي	VERB
iajs-221	366	17	للحلول	للحلول	PROPN
iajs-221	366	18	غير	غير	PROPN
iajs-221	366	19	المھيمن	المھيمن	PROPN
iajs-221	366	20	عليھا	عليھا	PROPN
iajs-221	366	21	.	.	PUNCT
iajs-221	367	1	مجموع	مجموع	PROPN
iajs-221	367	2	أوقات	أوقات	PROPN
iajs-221	367	3	االتمام	االتمام	PROPN
iajs-221	367	4	،	،	PROPN
iajs-221	367	5	مجموع	مجموع	PROPN
iajs-221	367	6	التأخير	التأخير	PROPN
iajs-221	367	7	الالسالب	الالسالب	PROPN
iajs-221	367	8	،	،	PROPN
iajs-221	367	9	أكبر	أكبر	PROPN
iajs-221	367	10	تأخير	تأخير	PROPN
iajs-221	367	11	السالب	السالب	PROPN
iajs-221	367	12	،	،	PROPN
iajs-221	367	13	الحلول	الحلول	PROPN
iajs-221	367	14	غير	غير	PROPN
iajs-221	367	15	المثلى	المثلى	PROPN
iajs-221	367	16	،	،	PROPN
iajs-221	367	17	متعددة	متعددة	PROPN
iajs-221	367	18	الحلول	الحلول	ADV
iajs-221	367	19	:	:	PUNCT
iajs-221	367	20	الكلمات	الكلمات	VERB
iajs-221	367	21	المفتاحية	المفتاحية	NOUN
iajs-221	367	22	المھيمن	المھيمن	NOUN
iajs-221	367	23	عليھا	عليھا	ADJ
iajs-221	367	24	.	.	PUNCT