id	sid	tid	token	lemma	pos
ijassa-428	1	1	advances	advance	NOUN
ijassa-428	1	2	in	in	ADP
ijassa-428	1	3	systems	system	NOUN
ijassa-428	1	4	science	science	NOUN
ijassa-428	1	5	and	and	CCONJ
ijassa-428	1	6	applications	application	NOUN
ijassa-428	1	7	(	(	PUNCT
ijassa-428	1	8	2013	2013	NUM
ijassa-428	1	9	)	)	PUNCT
ijassa-428	1	10	vol.13	vol.13	NOUN
ijassa-428	1	11	no.1	no.1	VERB
ijassa-428	1	12	68	68	NUM
ijassa-428	1	13	-	-	SYM
ijassa-428	1	14	79	79	NUM
ijassa-428	1	15	optimization	optimization	NOUN
ijassa-428	1	16	of	of	ADP
ijassa-428	1	17	statistical	statistical	ADJ
ijassa-428	1	18	decision	decision	NOUN
ijassa-428	1	19	for	for	ADP
ijassa-428	1	20	personnel	personnel	NOUN
ijassa-428	1	21	management	management	NOUN
ijassa-428	1	22	problems	problem	NOUN
ijassa-428	1	23	in	in	ADP
ijassa-428	1	24	tourism	tourism	NOUN
ijassa-428	1	25	konstantin	konstantin	PROPN
ijassa-428	1	26	n.	n.	PROPN
ijassa-428	1	27	nechval1	nechval1	PROPN
ijassa-428	1	28	,	,	PUNCT
ijassa-428	1	29	nicholas	nicholas	PROPN
ijassa-428	1	30	a.	a.	PROPN
ijassa-428	1	31	nechval2	nechval2	PROPN
ijassa-428	1	32	,	,	PUNCT
ijassa-428	1	33	gundars	gundar	NOUN
ijassa-428	1	34	berzins2	berzins2	NOUN
ijassa-428	1	35	and	and	CCONJ
ijassa-428	1	36	maris	maris	PROPN
ijassa-428	1	37	purgailis2	purgailis2	PROPN
ijassa-428	2	1	1applied	1applied	NUM
ijassa-428	2	2	mathematics	mathematics	PROPN
ijassa-428	2	3	department	department	NOUN
ijassa-428	2	4	,	,	PUNCT
ijassa-428	2	5	transport	transport	NOUN
ijassa-428	2	6	and	and	CCONJ
ijassa-428	2	7	telecommunication	telecommunication	NOUN
ijassa-428	2	8	institute	institute	NOUN
ijassa-428	2	9	,	,	PUNCT
ijassa-428	2	10	lomonosov	lomonosov	PROPN
ijassa-428	2	11	street	street	NOUN
ijassa-428	2	12	1	1	NUM
ijassa-428	2	13	,	,	PUNCT
ijassa-428	2	14	lv-1019	lv-1019	PROPN
ijassa-428	2	15	riga	riga	PROPN
ijassa-428	2	16	,	,	PUNCT
ijassa-428	2	17	latvia	latvia	PROPN
ijassa-428	2	18	2statistics	2statistics	PROPN
ijassa-428	2	19	department	department	NOUN
ijassa-428	2	20	,	,	PUNCT
ijassa-428	2	21	evf	evf	PROPN
ijassa-428	2	22	research	research	PROPN
ijassa-428	2	23	institute	institute	PROPN
ijassa-428	2	24	,	,	PUNCT
ijassa-428	2	25	university	university	PROPN
ijassa-428	2	26	of	of	ADP
ijassa-428	2	27	latvia	latvia	PROPN
ijassa-428	2	28	,	,	PUNCT
ijassa-428	2	29	raina	raina	PROPN
ijassa-428	2	30	blvd	blvd	PROPN
ijassa-428	2	31	19	19	NUM
ijassa-428	2	32	,	,	PUNCT
ijassa-428	2	33	lv-1050	lv-1050	PROPN
ijassa-428	2	34	riga	riga	PROPN
ijassa-428	2	35	,	,	PUNCT
ijassa-428	2	36	latvia	latvia	PROPN
ijassa-428	2	37	abstract	abstract	ADJ
ijassa-428	2	38	a	a	DET
ijassa-428	2	39	large	large	ADJ
ijassa-428	2	40	number	number	NOUN
ijassa-428	2	41	of	of	ADP
ijassa-428	2	42	problems	problem	NOUN
ijassa-428	2	43	in	in	ADP
ijassa-428	2	44	production	production	NOUN
ijassa-428	2	45	planning	planning	NOUN
ijassa-428	2	46	and	and	CCONJ
ijassa-428	2	47	scheduling	scheduling	NOUN
ijassa-428	2	48	,	,	PUNCT
ijassa-428	2	49	location	location	NOUN
ijassa-428	2	50	,	,	PUNCT
ijassa-428	2	51	transportation	transportation	NOUN
ijassa-428	2	52	,	,	PUNCT
ijassa-428	2	53	finance	finance	NOUN
ijassa-428	2	54	,	,	PUNCT
ijassa-428	2	55	and	and	CCONJ
ijassa-428	2	56	engineering	engineering	NOUN
ijassa-428	2	57	design	design	NOUN
ijassa-428	2	58	require	require	VERB
ijassa-428	2	59	that	that	SCONJ
ijassa-428	2	60	decisions	decision	NOUN
ijassa-428	2	61	be	be	AUX
ijassa-428	2	62	made	make	VERB
ijassa-428	2	63	in	in	ADP
ijassa-428	2	64	the	the	DET
ijassa-428	2	65	presence	presence	NOUN
ijassa-428	2	66	of	of	ADP
ijassa-428	2	67	uncertainty	uncertainty	NOUN
ijassa-428	2	68	.	.	PUNCT
ijassa-428	3	1	in	in	ADP
ijassa-428	3	2	the	the	DET
ijassa-428	3	3	present	present	ADJ
ijassa-428	3	4	paper	paper	NOUN
ijassa-428	3	5	,	,	PUNCT
ijassa-428	3	6	for	for	ADP
ijassa-428	3	7	improvement	improvement	NOUN
ijassa-428	3	8	or	or	CCONJ
ijassa-428	3	9	optimization	optimization	NOUN
ijassa-428	3	10	of	of	ADP
ijassa-428	3	11	statistical	statistical	ADJ
ijassa-428	3	12	decisions	decision	NOUN
ijassa-428	3	13	under	under	ADP
ijassa-428	3	14	parametric	parametric	ADJ
ijassa-428	3	15	uncertainty	uncertainty	NOUN
ijassa-428	3	16	,	,	PUNCT
ijassa-428	3	17	a	a	DET
ijassa-428	3	18	new	new	ADJ
ijassa-428	3	19	technique	technique	NOUN
ijassa-428	3	20	of	of	ADP
ijassa-428	3	21	invariant	invariant	ADJ
ijassa-428	3	22	embedding	embedding	NOUN
ijassa-428	3	23	of	of	ADP
ijassa-428	3	24	sample	sample	NOUN
ijassa-428	3	25	statistics	statistic	NOUN
ijassa-428	3	26	in	in	ADP
ijassa-428	3	27	a	a	DET
ijassa-428	3	28	performance	performance	NOUN
ijassa-428	3	29	index	index	NOUN
ijassa-428	3	30	is	be	AUX
ijassa-428	3	31	proposed	propose	VERB
ijassa-428	3	32	.	.	PUNCT
ijassa-428	4	1	this	this	DET
ijassa-428	4	2	technique	technique	NOUN
ijassa-428	4	3	represents	represent	VERB
ijassa-428	4	4	a	a	DET
ijassa-428	4	5	simple	simple	ADJ
ijassa-428	4	6	and	and	CCONJ
ijassa-428	4	7	computationally	computationally	ADV
ijassa-428	4	8	attractive	attractive	ADJ
ijassa-428	4	9	statistical	statistical	ADJ
ijassa-428	4	10	method	method	NOUN
ijassa-428	4	11	based	base	VERB
ijassa-428	4	12	on	on	ADP
ijassa-428	4	13	the	the	DET
ijassa-428	4	14	constructive	constructive	ADJ
ijassa-428	4	15	use	use	NOUN
ijassa-428	4	16	of	of	ADP
ijassa-428	4	17	the	the	DET
ijassa-428	4	18	invariance	invariance	NOUN
ijassa-428	4	19	principle	principle	NOUN
ijassa-428	4	20	in	in	ADP
ijassa-428	4	21	mathematical	mathematical	ADJ
ijassa-428	4	22	statistics	statistic	NOUN
ijassa-428	4	23	.	.	PUNCT
ijassa-428	5	1	unlike	unlike	ADP
ijassa-428	5	2	the	the	DET
ijassa-428	5	3	bayesian	bayesian	NOUN
ijassa-428	5	4	approach	approach	NOUN
ijassa-428	5	5	,	,	PUNCT
ijassa-428	5	6	an	an	DET
ijassa-428	5	7	invariant	invariant	ADJ
ijassa-428	5	8	embedding	embed	VERB
ijassa-428	5	9	technique	technique	NOUN
ijassa-428	5	10	is	be	AUX
ijassa-428	5	11	independent	independent	ADJ
ijassa-428	5	12	of	of	ADP
ijassa-428	5	13	the	the	DET
ijassa-428	5	14	choice	choice	NOUN
ijassa-428	5	15	of	of	ADP
ijassa-428	5	16	priors	prior	NOUN
ijassa-428	5	17	.	.	PUNCT
ijassa-428	6	1	it	it	PRON
ijassa-428	6	2	allows	allow	VERB
ijassa-428	6	3	one	one	PRON
ijassa-428	6	4	to	to	PART
ijassa-428	6	5	eliminate	eliminate	VERB
ijassa-428	6	6	unknown	unknown	ADJ
ijassa-428	6	7	parameters	parameter	NOUN
ijassa-428	6	8	from	from	ADP
ijassa-428	6	9	the	the	DET
ijassa-428	6	10	problem	problem	NOUN
ijassa-428	6	11	and	and	CCONJ
ijassa-428	6	12	to	to	PART
ijassa-428	6	13	find	find	VERB
ijassa-428	6	14	the	the	DET
ijassa-428	6	15	best	good	ADJ
ijassa-428	6	16	invariant	invariant	ADJ
ijassa-428	6	17	decision	decision	NOUN
ijassa-428	6	18	rule	rule	NOUN
ijassa-428	6	19	,	,	PUNCT
ijassa-428	6	20	which	which	PRON
ijassa-428	6	21	has	have	VERB
ijassa-428	6	22	smaller	small	ADJ
ijassa-428	6	23	risk	risk	NOUN
ijassa-428	6	24	than	than	ADP
ijassa-428	6	25	any	any	PRON
ijassa-428	6	26	of	of	ADP
ijassa-428	6	27	the	the	DET
ijassa-428	6	28	well	well	ADV
ijassa-428	6	29	-	-	PUNCT
ijassa-428	6	30	known	know	VERB
ijassa-428	6	31	decision	decision	NOUN
ijassa-428	6	32	rules	rule	NOUN
ijassa-428	6	33	.	.	PUNCT
ijassa-428	7	1	in	in	ADP
ijassa-428	7	2	order	order	NOUN
ijassa-428	7	3	to	to	PART
ijassa-428	7	4	illustrate	illustrate	VERB
ijassa-428	7	5	the	the	DET
ijassa-428	7	6	application	application	NOUN
ijassa-428	7	7	of	of	ADP
ijassa-428	7	8	the	the	DET
ijassa-428	7	9	proposed	propose	VERB
ijassa-428	7	10	technique	technique	NOUN
ijassa-428	7	11	for	for	ADP
ijassa-428	7	12	constructing	construct	VERB
ijassa-428	7	13	optimal	optimal	ADJ
ijassa-428	7	14	statistical	statistical	ADJ
ijassa-428	7	15	decisions	decision	NOUN
ijassa-428	7	16	under	under	ADP
ijassa-428	7	17	parametric	parametric	ADJ
ijassa-428	7	18	uncertainty	uncertainty	NOUN
ijassa-428	7	19	,	,	PUNCT
ijassa-428	7	20	we	we	PRON
ijassa-428	7	21	discuss	discuss	VERB
ijassa-428	7	22	the	the	DET
ijassa-428	7	23	following	follow	VERB
ijassa-428	7	24	personnel	personnel	NOUN
ijassa-428	7	25	management	management	NOUN
ijassa-428	7	26	problem	problem	NOUN
ijassa-428	7	27	in	in	ADP
ijassa-428	7	28	tourism	tourism	NOUN
ijassa-428	7	29	.	.	PUNCT
ijassa-428	8	1	a	a	DET
ijassa-428	8	2	certain	certain	ADJ
ijassa-428	8	3	company	company	NOUN
ijassa-428	8	4	provides	provide	VERB
ijassa-428	8	5	interpreter	interpreter	NOUN
ijassa-428	8	6	-	-	PUNCT
ijassa-428	8	7	guides	guide	NOUN
ijassa-428	8	8	for	for	ADP
ijassa-428	8	9	tourists	tourist	NOUN
ijassa-428	8	10	.	.	PUNCT
ijassa-428	9	1	some	some	PRON
ijassa-428	9	2	of	of	ADP
ijassa-428	9	3	the	the	DET
ijassa-428	9	4	interpreter	interpreter	NOUN
ijassa-428	9	5	-	-	PUNCT
ijassa-428	9	6	guides	guide	NOUN
ijassa-428	9	7	are	be	AUX
ijassa-428	9	8	permanent	permanent	ADJ
ijassa-428	9	9	ones	one	NOUN
ijassa-428	9	10	working	work	VERB
ijassa-428	9	11	on	on	ADP
ijassa-428	9	12	a	a	DET
ijassa-428	9	13	monthly	monthly	ADJ
ijassa-428	9	14	basis	basis	NOUN
ijassa-428	9	15	at	at	ADP
ijassa-428	9	16	a	a	DET
ijassa-428	9	17	daily	daily	ADJ
ijassa-428	9	18	guaranteed	guarantee	VERB
ijassa-428	9	19	salary	salary	NOUN
ijassa-428	9	20	.	.	PUNCT
ijassa-428	10	1	the	the	DET
ijassa-428	10	2	problem	problem	NOUN
ijassa-428	10	3	is	be	AUX
ijassa-428	10	4	to	to	PART
ijassa-428	10	5	determine	determine	VERB
ijassa-428	10	6	how	how	SCONJ
ijassa-428	10	7	many	many	ADJ
ijassa-428	10	8	permanent	permanent	ADJ
ijassa-428	10	9	interpreter	interpreter	NOUN
ijassa-428	10	10	-	-	PUNCT
ijassa-428	10	11	guides	guide	NOUN
ijassa-428	10	12	should	should	AUX
ijassa-428	10	13	the	the	DET
ijassa-428	10	14	company	company	NOUN
ijassa-428	10	15	employ	employ	VERB
ijassa-428	10	16	so	so	SCONJ
ijassa-428	10	17	that	that	SCONJ
ijassa-428	10	18	their	their	PRON
ijassa-428	10	19	overall	overall	ADJ
ijassa-428	10	20	costs	cost	NOUN
ijassa-428	10	21	will	will	AUX
ijassa-428	10	22	be	be	AUX
ijassa-428	10	23	minimal	minimal	ADJ
ijassa-428	10	24	?	?	PUNCT
ijassa-428	11	1	we	we	PRON
ijassa-428	11	2	restrict	restrict	VERB
ijassa-428	11	3	attention	attention	NOUN
ijassa-428	11	4	to	to	ADP
ijassa-428	11	5	families	family	NOUN
ijassa-428	11	6	of	of	ADP
ijassa-428	11	7	underlying	underlie	VERB
ijassa-428	11	8	distributions	distribution	NOUN
ijassa-428	11	9	invariant	invariant	ADJ
ijassa-428	11	10	under	under	ADP
ijassa-428	11	11	location	location	NOUN
ijassa-428	11	12	and/or	and/or	CCONJ
ijassa-428	11	13	scale	scale	NOUN
ijassa-428	11	14	changes	change	NOUN
ijassa-428	11	15	.	.	PUNCT
ijassa-428	12	1	a	a	DET
ijassa-428	12	2	numerical	numerical	ADJ
ijassa-428	12	3	example	example	NOUN
ijassa-428	12	4	is	be	AUX
ijassa-428	12	5	given	give	VERB
ijassa-428	12	6	.	.	PUNCT
ijassa-428	13	1	keywords	keyword	NOUN
ijassa-428	13	2	personnel	personnel	NOUN
ijassa-428	13	3	management	management	NOUN
ijassa-428	13	4	problem	problem	NOUN
ijassa-428	13	5	,	,	PUNCT
ijassa-428	13	6	invariant	invariant	ADJ
ijassa-428	13	7	embedding	embed	VERB
ijassa-428	13	8	technique	technique	NOUN
ijassa-428	13	9	,	,	PUNCT
ijassa-428	13	10	optimization	optimization	NOUN
ijassa-428	13	11	1	1	NUM
ijassa-428	13	12	introduction	introduction	NOUN
ijassa-428	13	13	most	most	ADJ
ijassa-428	13	14	of	of	ADP
ijassa-428	13	15	the	the	DET
ijassa-428	13	16	operations	operation	NOUN
ijassa-428	13	17	research	research	NOUN
ijassa-428	13	18	and	and	CCONJ
ijassa-428	13	19	management	management	NOUN
ijassa-428	13	20	science	science	NOUN
ijassa-428	13	21	literature	literature	PROPN
ijassa-428	13	22	assumes	assume	VERB
ijassa-428	13	23	that	that	SCONJ
ijassa-428	13	24	the	the	DET
ijassa-428	13	25	true	true	ADJ
ijassa-428	13	26	distributions	distribution	NOUN
ijassa-428	13	27	are	be	AUX
ijassa-428	13	28	specified	specify	VERB
ijassa-428	13	29	explicitly	explicitly	ADV
ijassa-428	13	30	.	.	PUNCT
ijassa-428	14	1	however	however	ADV
ijassa-428	14	2	,	,	PUNCT
ijassa-428	14	3	in	in	ADP
ijassa-428	14	4	many	many	ADJ
ijassa-428	14	5	practical	practical	ADJ
ijassa-428	14	6	situations	situation	NOUN
ijassa-428	14	7	,	,	PUNCT
ijassa-428	14	8	the	the	DET
ijassa-428	14	9	true	true	ADJ
ijassa-428	14	10	distributions	distribution	NOUN
ijassa-428	14	11	are	be	AUX
ijassa-428	14	12	not	not	PART
ijassa-428	14	13	known	know	VERB
ijassa-428	14	14	,	,	PUNCT
ijassa-428	14	15	and	and	CCONJ
ijassa-428	14	16	the	the	DET
ijassa-428	14	17	only	only	ADJ
ijassa-428	14	18	information	information	NOUN
ijassa-428	14	19	available	available	ADJ
ijassa-428	14	20	may	may	AUX
ijassa-428	14	21	be	be	AUX
ijassa-428	14	22	a	a	DET
ijassa-428	14	23	time	time	NOUN
ijassa-428	14	24	-	-	PUNCT
ijassa-428	14	25	series	series	NOUN
ijassa-428	14	26	(	(	PUNCT
ijassa-428	14	27	or	or	CCONJ
ijassa-428	14	28	random	random	ADJ
ijassa-428	14	29	sample	sample	NOUN
ijassa-428	14	30	)	)	PUNCT
ijassa-428	14	31	of	of	ADP
ijassa-428	14	32	the	the	DET
ijassa-428	14	33	past	past	ADJ
ijassa-428	14	34	data	data	PROPN
ijassa-428	14	35	.	.	PUNCT
ijassa-428	15	1	analysis	analysis	NOUN
ijassa-428	15	2	of	of	ADP
ijassa-428	15	3	decisionmaking	decisionmake	VERB
ijassa-428	15	4	problems	problem	NOUN
ijassa-428	15	5	with	with	ADP
ijassa-428	15	6	unknown	unknown	ADJ
ijassa-428	15	7	distribution	distribution	NOUN
ijassa-428	15	8	is	be	AUX
ijassa-428	15	9	not	not	PART
ijassa-428	15	10	new	new	ADJ
ijassa-428	15	11	.	.	PUNCT
ijassa-428	16	1	several	several	ADJ
ijassa-428	16	2	important	important	ADJ
ijassa-428	16	3	papers	paper	NOUN
ijassa-428	16	4	have	have	AUX
ijassa-428	16	5	appeared	appear	VERB
ijassa-428	16	6	in	in	ADP
ijassa-428	16	7	the	the	DET
ijassa-428	16	8	literature	literature	NOUN
ijassa-428	16	9	.	.	PUNCT
ijassa-428	17	1	when	when	SCONJ
ijassa-428	17	2	the	the	DET
ijassa-428	17	3	true	true	ADJ
ijassa-428	17	4	distribution	distribution	NOUN
ijassa-428	17	5	is	be	AUX
ijassa-428	17	6	unknown	unknown	ADJ
ijassa-428	17	7	,	,	PUNCT
ijassa-428	17	8	one	one	PRON
ijassa-428	17	9	may	may	AUX
ijassa-428	17	10	either	either	CCONJ
ijassa-428	17	11	use	use	VERB
ijassa-428	17	12	a	a	DET
ijassa-428	17	13	parametric	parametric	ADJ
ijassa-428	17	14	approach	approach	NOUN
ijassa-428	17	15	(	(	PUNCT
ijassa-428	17	16	where	where	SCONJ
ijassa-428	17	17	it	it	PRON
ijassa-428	17	18	is	be	AUX
ijassa-428	17	19	assumed	assume	VERB
ijassa-428	17	20	that	that	SCONJ
ijassa-428	17	21	the	the	DET
ijassa-428	17	22	true	true	ADJ
ijassa-428	17	23	distribution	distribution	NOUN
ijassa-428	17	24	belongs	belong	VERB
ijassa-428	17	25	to	to	ADP
ijassa-428	17	26	a	a	DET
ijassa-428	17	27	parametric	parametric	ADJ
ijassa-428	17	28	family	family	NOUN
ijassa-428	17	29	of	of	ADP
ijassa-428	17	30	distributions	distribution	NOUN
ijassa-428	17	31	)	)	PUNCT
ijassa-428	17	32	or	or	CCONJ
ijassa-428	17	33	a	a	DET
ijassa-428	17	34	non	non	ADJ
ijassa-428	17	35	-	-	ADJ
ijassa-428	17	36	parametric	parametric	ADJ
ijassa-428	17	37	approach	approach	NOUN
ijassa-428	17	38	advances	advance	NOUN
ijassa-428	17	39	in	in	ADP
ijassa-428	17	40	systems	system	NOUN
ijassa-428	17	41	science	science	NOUN
ijassa-428	17	42	and	and	CCONJ
ijassa-428	17	43	applications	application	NOUN
ijassa-428	17	44	(	(	PUNCT
ijassa-428	17	45	2013	2013	NUM
ijassa-428	17	46	)	)	PUNCT
ijassa-428	17	47	vol.13	vol.13	NOUN
ijassa-428	17	48	no.1	no.1	VERB
ijassa-428	17	49	69	69	NUM
ijassa-428	17	50	(	(	PUNCT
ijassa-428	17	51	where	where	SCONJ
ijassa-428	17	52	no	no	DET
ijassa-428	17	53	assumption	assumption	NOUN
ijassa-428	17	54	regarding	regard	VERB
ijassa-428	17	55	the	the	DET
ijassa-428	17	56	parametric	parametric	ADJ
ijassa-428	17	57	form	form	NOUN
ijassa-428	17	58	of	of	ADP
ijassa-428	17	59	the	the	DET
ijassa-428	17	60	unknown	unknown	ADJ
ijassa-428	17	61	distribution	distribution	NOUN
ijassa-428	17	62	is	be	AUX
ijassa-428	17	63	made	make	VERB
ijassa-428	17	64	)	)	PUNCT
ijassa-428	17	65	.	.	PUNCT
ijassa-428	18	1	under	under	ADP
ijassa-428	18	2	the	the	DET
ijassa-428	18	3	parametric	parametric	ADJ
ijassa-428	18	4	approach	approach	NOUN
ijassa-428	18	5	,	,	PUNCT
ijassa-428	18	6	one	one	PRON
ijassa-428	18	7	may	may	AUX
ijassa-428	18	8	choose	choose	VERB
ijassa-428	18	9	to	to	PART
ijassa-428	18	10	estimate	estimate	VERB
ijassa-428	18	11	the	the	DET
ijassa-428	18	12	unknown	unknown	ADJ
ijassa-428	18	13	parameters	parameter	NOUN
ijassa-428	18	14	or	or	CCONJ
ijassa-428	18	15	choose	choose	VERB
ijassa-428	18	16	a	a	DET
ijassa-428	18	17	prior	prior	ADJ
ijassa-428	18	18	distribution	distribution	NOUN
ijassa-428	18	19	for	for	ADP
ijassa-428	18	20	the	the	DET
ijassa-428	18	21	unknown	unknown	ADJ
ijassa-428	18	22	parameters	parameter	NOUN
ijassa-428	18	23	and	and	CCONJ
ijassa-428	18	24	apply	apply	VERB
ijassa-428	18	25	the	the	DET
ijassa-428	18	26	bayesian	bayesian	NOUN
ijassa-428	18	27	approach	approach	NOUN
ijassa-428	18	28	to	to	ADP
ijassa-428	18	29	incorporating	incorporate	VERB
ijassa-428	18	30	the	the	DET
ijassa-428	18	31	past	past	ADJ
ijassa-428	18	32	data	datum	NOUN
ijassa-428	18	33	available	available	ADJ
ijassa-428	18	34	.	.	PUNCT
ijassa-428	19	1	parameter	parameter	PROPN
ijassa-428	19	2	estimation	estimation	NOUN
ijassa-428	19	3	is	be	AUX
ijassa-428	19	4	first	first	ADV
ijassa-428	19	5	considered	consider	VERB
ijassa-428	19	6	in	in	ADP
ijassa-428	19	7	[	[	X
ijassa-428	19	8	1	1	NUM
ijassa-428	19	9	]	]	PUNCT
ijassa-428	19	10	and	and	CCONJ
ijassa-428	19	11	further	further	ADJ
ijassa-428	19	12	development	development	NOUN
ijassa-428	19	13	is	be	AUX
ijassa-428	19	14	reported	report	VERB
ijassa-428	19	15	in	in	ADP
ijassa-428	19	16	[	[	X
ijassa-428	19	17	2	2	NUM
ijassa-428	19	18	]	]	PUNCT
ijassa-428	19	19	.	.	PUNCT
ijassa-428	20	1	scarf	scarf	PROPN
ijassa-428	20	2	[	[	X
ijassa-428	20	3	3	3	NUM
ijassa-428	20	4	]	]	PUNCT
ijassa-428	20	5	considers	consider	VERB
ijassa-428	20	6	a	a	DET
ijassa-428	20	7	bayesian	bayesian	NOUN
ijassa-428	20	8	framework	framework	NOUN
ijassa-428	20	9	for	for	ADP
ijassa-428	20	10	the	the	DET
ijassa-428	20	11	unknown	unknown	ADJ
ijassa-428	20	12	demand	demand	NOUN
ijassa-428	20	13	distribution	distribution	NOUN
ijassa-428	20	14	.	.	PUNCT
ijassa-428	21	1	specifically	specifically	ADV
ijassa-428	21	2	,	,	PUNCT
ijassa-428	21	3	assuming	assume	VERB
ijassa-428	21	4	that	that	SCONJ
ijassa-428	21	5	the	the	DET
ijassa-428	21	6	demand	demand	NOUN
ijassa-428	21	7	distribution	distribution	NOUN
ijassa-428	21	8	belongs	belong	VERB
ijassa-428	21	9	to	to	ADP
ijassa-428	21	10	the	the	DET
ijassa-428	21	11	family	family	NOUN
ijassa-428	21	12	of	of	ADP
ijassa-428	21	13	exponential	exponential	ADJ
ijassa-428	21	14	distributions	distribution	NOUN
ijassa-428	21	15	,	,	PUNCT
ijassa-428	21	16	the	the	DET
ijassa-428	21	17	demand	demand	NOUN
ijassa-428	21	18	process	process	NOUN
ijassa-428	21	19	is	be	AUX
ijassa-428	21	20	characterized	characterize	VERB
ijassa-428	21	21	by	by	ADP
ijassa-428	21	22	the	the	DET
ijassa-428	21	23	prior	prior	ADJ
ijassa-428	21	24	distribution	distribution	NOUN
ijassa-428	21	25	on	on	ADP
ijassa-428	21	26	the	the	DET
ijassa-428	21	27	unknown	unknown	ADJ
ijassa-428	21	28	parameter	parameter	NOUN
ijassa-428	21	29	.	.	PUNCT
ijassa-428	22	1	further	further	ADJ
ijassa-428	22	2	extension	extension	NOUN
ijassa-428	22	3	of	of	ADP
ijassa-428	22	4	this	this	DET
ijassa-428	22	5	approach	approach	NOUN
ijassa-428	22	6	is	be	AUX
ijassa-428	22	7	presented	present	VERB
ijassa-428	22	8	in	in	ADP
ijassa-428	22	9	[	[	X
ijassa-428	22	10	4	4	NUM
ijassa-428	22	11	]	]	PUNCT
ijassa-428	22	12	.	.	PUNCT
ijassa-428	23	1	within	within	ADP
ijassa-428	23	2	the	the	DET
ijassa-428	23	3	non	non	ADJ
ijassa-428	23	4	-	-	ADJ
ijassa-428	23	5	parametric	parametric	ADJ
ijassa-428	23	6	approach	approach	NOUN
ijassa-428	23	7	,	,	PUNCT
ijassa-428	23	8	either	either	CCONJ
ijassa-428	23	9	the	the	DET
ijassa-428	23	10	empirical	empirical	ADJ
ijassa-428	23	11	distribution	distribution	NOUN
ijassa-428	23	12	[	[	X
ijassa-428	23	13	2	2	NUM
ijassa-428	23	14	]	]	PUNCT
ijassa-428	23	15	or	or	CCONJ
ijassa-428	23	16	the	the	DET
ijassa-428	23	17	bootstrapping	bootstrappe	VERB
ijassa-428	23	18	method	method	NOUN
ijassa-428	23	19	(	(	PUNCT
ijassa-428	23	20	e.g.	e.g.	ADV
ijassa-428	23	21	see	see	VERB
ijassa-428	23	22	[	[	X
ijassa-428	23	23	5	5	NUM
ijassa-428	23	24	]	]	PUNCT
ijassa-428	23	25	)	)	PUNCT
ijassa-428	23	26	can	can	AUX
ijassa-428	23	27	be	be	AUX
ijassa-428	23	28	applied	apply	VERB
ijassa-428	23	29	with	with	ADP
ijassa-428	23	30	the	the	DET
ijassa-428	23	31	available	available	ADJ
ijassa-428	23	32	past	past	ADJ
ijassa-428	23	33	data	datum	NOUN
ijassa-428	23	34	to	to	PART
ijassa-428	23	35	obtain	obtain	VERB
ijassa-428	23	36	a	a	DET
ijassa-428	23	37	statistical	statistical	ADJ
ijassa-428	23	38	decision	decision	NOUN
ijassa-428	23	39	rule	rule	NOUN
ijassa-428	23	40	.	.	PUNCT
ijassa-428	24	1	a	a	DET
ijassa-428	24	2	third	third	ADJ
ijassa-428	24	3	alternative	alternative	NOUN
ijassa-428	24	4	to	to	ADP
ijassa-428	24	5	dealing	deal	VERB
ijassa-428	24	6	with	with	ADP
ijassa-428	24	7	the	the	DET
ijassa-428	24	8	unknown	unknown	ADJ
ijassa-428	24	9	distribution	distribution	NOUN
ijassa-428	24	10	is	be	AUX
ijassa-428	24	11	when	when	SCONJ
ijassa-428	24	12	the	the	DET
ijassa-428	24	13	random	random	ADJ
ijassa-428	24	14	variable	variable	NOUN
ijassa-428	24	15	is	be	AUX
ijassa-428	24	16	partially	partially	ADV
ijassa-428	24	17	characterized	characterize	VERB
ijassa-428	24	18	by	by	ADP
ijassa-428	24	19	its	its	PRON
ijassa-428	24	20	moments	moment	NOUN
ijassa-428	24	21	.	.	PUNCT
ijassa-428	25	1	when	when	SCONJ
ijassa-428	25	2	the	the	DET
ijassa-428	25	3	unknown	unknown	ADJ
ijassa-428	25	4	demand	demand	NOUN
ijassa-428	25	5	distribution	distribution	NOUN
ijassa-428	25	6	is	be	AUX
ijassa-428	25	7	characterized	characterize	VERB
ijassa-428	25	8	by	by	ADP
ijassa-428	25	9	the	the	DET
ijassa-428	25	10	first	first	ADJ
ijassa-428	25	11	two	two	NUM
ijassa-428	25	12	moments	moment	NOUN
ijassa-428	25	13	,	,	PUNCT
ijassa-428	25	14	scarf	scarf	ADJ
ijassa-428	25	15	[	[	X
ijassa-428	25	16	6	6	NUM
ijassa-428	25	17	]	]	PUNCT
ijassa-428	25	18	derives	derive	VERB
ijassa-428	25	19	a	a	DET
ijassa-428	25	20	robust	robust	ADJ
ijassa-428	25	21	min	min	ADJ
ijassa-428	25	22	-	-	ADJ
ijassa-428	25	23	max	max	ADJ
ijassa-428	25	24	inventory	inventory	NOUN
ijassa-428	25	25	control	control	NOUN
ijassa-428	25	26	policy	policy	NOUN
ijassa-428	25	27	.	.	PUNCT
ijassa-428	26	1	further	further	ADJ
ijassa-428	26	2	development	development	NOUN
ijassa-428	26	3	and	and	CCONJ
ijassa-428	26	4	review	review	NOUN
ijassa-428	26	5	of	of	ADP
ijassa-428	26	6	this	this	DET
ijassa-428	26	7	model	model	NOUN
ijassa-428	26	8	is	be	AUX
ijassa-428	26	9	given	give	VERB
ijassa-428	26	10	in	in	ADP
ijassa-428	26	11	[	[	X
ijassa-428	26	12	7	7	NUM
ijassa-428	26	13	]	]	PUNCT
ijassa-428	26	14	.	.	PUNCT
ijassa-428	27	1	in	in	ADP
ijassa-428	27	2	the	the	DET
ijassa-428	27	3	present	present	ADJ
ijassa-428	27	4	paper	paper	NOUN
ijassa-428	27	5	we	we	PRON
ijassa-428	27	6	consider	consider	VERB
ijassa-428	27	7	the	the	DET
ijassa-428	27	8	case	case	NOUN
ijassa-428	27	9	,	,	PUNCT
ijassa-428	27	10	where	where	SCONJ
ijassa-428	27	11	it	it	PRON
ijassa-428	27	12	is	be	AUX
ijassa-428	27	13	known	know	VERB
ijassa-428	27	14	that	that	SCONJ
ijassa-428	27	15	the	the	DET
ijassa-428	27	16	true	true	ADJ
ijassa-428	27	17	distribution	distribution	NOUN
ijassa-428	27	18	function	function	NOUN
ijassa-428	27	19	belongs	belong	VERB
ijassa-428	27	20	to	to	ADP
ijassa-428	27	21	a	a	DET
ijassa-428	27	22	parametric	parametric	ADJ
ijassa-428	27	23	family	family	NOUN
ijassa-428	27	24	of	of	ADP
ijassa-428	27	25	distributions	distribution	NOUN
ijassa-428	27	26	.	.	PUNCT
ijassa-428	28	1	it	it	PRON
ijassa-428	28	2	will	will	AUX
ijassa-428	28	3	be	be	AUX
ijassa-428	28	4	noted	note	VERB
ijassa-428	28	5	that	that	SCONJ
ijassa-428	28	6	,	,	PUNCT
ijassa-428	28	7	in	in	ADP
ijassa-428	28	8	this	this	DET
ijassa-428	28	9	case	case	NOUN
ijassa-428	28	10	,	,	PUNCT
ijassa-428	28	11	most	most	ADJ
ijassa-428	28	12	stochastic	stochastic	ADJ
ijassa-428	28	13	models	model	NOUN
ijassa-428	28	14	to	to	PART
ijassa-428	28	15	solve	solve	VERB
ijassa-428	28	16	the	the	DET
ijassa-428	28	17	problems	problem	NOUN
ijassa-428	28	18	of	of	ADP
ijassa-428	28	19	control	control	NOUN
ijassa-428	28	20	and	and	CCONJ
ijassa-428	28	21	optimization	optimization	NOUN
ijassa-428	28	22	of	of	ADP
ijassa-428	28	23	system	system	NOUN
ijassa-428	28	24	and	and	CCONJ
ijassa-428	28	25	processes	process	NOUN
ijassa-428	28	26	are	be	AUX
ijassa-428	28	27	developed	develop	VERB
ijassa-428	28	28	in	in	ADP
ijassa-428	28	29	the	the	DET
ijassa-428	28	30	extensive	extensive	ADJ
ijassa-428	28	31	literature	literature	NOUN
ijassa-428	28	32	under	under	ADP
ijassa-428	28	33	the	the	DET
ijassa-428	28	34	assumptions	assumption	NOUN
ijassa-428	28	35	that	that	SCONJ
ijassa-428	28	36	the	the	DET
ijassa-428	28	37	parameter	parameter	NOUN
ijassa-428	28	38	values	value	NOUN
ijassa-428	28	39	of	of	ADP
ijassa-428	28	40	the	the	DET
ijassa-428	28	41	underlying	underlie	VERB
ijassa-428	28	42	distributions	distribution	NOUN
ijassa-428	28	43	are	be	AUX
ijassa-428	28	44	known	know	VERB
ijassa-428	28	45	with	with	ADP
ijassa-428	28	46	certainty	certainty	PROPN
ijassa-428	28	47	.	.	PUNCT
ijassa-428	29	1	in	in	ADP
ijassa-428	29	2	actual	actual	ADJ
ijassa-428	29	3	practice	practice	NOUN
ijassa-428	29	4	,	,	PUNCT
ijassa-428	29	5	such	such	ADJ
ijassa-428	29	6	is	be	AUX
ijassa-428	29	7	simply	simply	ADV
ijassa-428	29	8	not	not	PART
ijassa-428	29	9	the	the	DET
ijassa-428	29	10	case	case	NOUN
ijassa-428	29	11	.	.	PUNCT
ijassa-428	30	1	when	when	SCONJ
ijassa-428	30	2	these	these	DET
ijassa-428	30	3	models	model	NOUN
ijassa-428	30	4	are	be	AUX
ijassa-428	30	5	applied	apply	VERB
ijassa-428	30	6	to	to	PART
ijassa-428	30	7	solve	solve	VERB
ijassa-428	30	8	real	real	ADJ
ijassa-428	30	9	-	-	PUNCT
ijassa-428	30	10	world	world	NOUN
ijassa-428	30	11	problems	problem	NOUN
ijassa-428	30	12	,	,	PUNCT
ijassa-428	30	13	the	the	DET
ijassa-428	30	14	parameters	parameter	NOUN
ijassa-428	30	15	are	be	AUX
ijassa-428	30	16	estimated	estimate	VERB
ijassa-428	30	17	and	and	CCONJ
ijassa-428	30	18	then	then	ADV
ijassa-428	30	19	treated	treat	VERB
ijassa-428	30	20	as	as	SCONJ
ijassa-428	30	21	if	if	SCONJ
ijassa-428	30	22	they	they	PRON
ijassa-428	30	23	were	be	AUX
ijassa-428	30	24	the	the	DET
ijassa-428	30	25	true	true	ADJ
ijassa-428	30	26	values	value	NOUN
ijassa-428	30	27	.	.	PUNCT
ijassa-428	31	1	the	the	DET
ijassa-428	31	2	risk	risk	NOUN
ijassa-428	31	3	associated	associate	VERB
ijassa-428	31	4	with	with	ADP
ijassa-428	31	5	using	use	VERB
ijassa-428	31	6	estimates	estimate	NOUN
ijassa-428	31	7	rather	rather	ADV
ijassa-428	31	8	than	than	ADP
ijassa-428	31	9	the	the	DET
ijassa-428	31	10	true	true	ADJ
ijassa-428	31	11	parameters	parameter	NOUN
ijassa-428	31	12	is	be	AUX
ijassa-428	31	13	called	call	VERB
ijassa-428	31	14	estimation	estimation	NOUN
ijassa-428	31	15	risk	risk	NOUN
ijassa-428	31	16	and	and	CCONJ
ijassa-428	31	17	is	be	AUX
ijassa-428	31	18	often	often	ADV
ijassa-428	31	19	ignored	ignore	VERB
ijassa-428	31	20	.	.	PUNCT
ijassa-428	32	1	when	when	SCONJ
ijassa-428	32	2	data	datum	NOUN
ijassa-428	32	3	are	be	AUX
ijassa-428	32	4	limited	limit	VERB
ijassa-428	32	5	and	and	CCONJ
ijassa-428	32	6	(	(	PUNCT
ijassa-428	32	7	or	or	CCONJ
ijassa-428	32	8	)	)	PUNCT
ijassa-428	32	9	unreliable	unreliable	ADJ
ijassa-428	32	10	,	,	PUNCT
ijassa-428	32	11	estimation	estimation	NOUN
ijassa-428	32	12	risk	risk	NOUN
ijassa-428	32	13	may	may	AUX
ijassa-428	32	14	be	be	AUX
ijassa-428	32	15	significant	significant	ADJ
ijassa-428	32	16	,	,	PUNCT
ijassa-428	32	17	and	and	CCONJ
ijassa-428	32	18	failure	failure	NOUN
ijassa-428	32	19	to	to	PART
ijassa-428	32	20	incorporate	incorporate	VERB
ijassa-428	32	21	it	it	PRON
ijassa-428	32	22	into	into	ADP
ijassa-428	32	23	the	the	DET
ijassa-428	32	24	model	model	NOUN
ijassa-428	32	25	design	design	NOUN
ijassa-428	32	26	may	may	AUX
ijassa-428	32	27	lead	lead	VERB
ijassa-428	32	28	to	to	ADP
ijassa-428	32	29	serious	serious	ADJ
ijassa-428	32	30	errors	error	NOUN
ijassa-428	32	31	.	.	PUNCT
ijassa-428	33	1	its	its	PRON
ijassa-428	33	2	explicit	explicit	ADJ
ijassa-428	33	3	consideration	consideration	NOUN
ijassa-428	33	4	is	be	AUX
ijassa-428	33	5	important	important	ADJ
ijassa-428	33	6	since	since	SCONJ
ijassa-428	33	7	decision	decision	NOUN
ijassa-428	33	8	rules	rule	NOUN
ijassa-428	33	9	that	that	PRON
ijassa-428	33	10	are	be	AUX
ijassa-428	33	11	optimal	optimal	ADJ
ijassa-428	33	12	in	in	ADP
ijassa-428	33	13	the	the	DET
ijassa-428	33	14	absence	absence	NOUN
ijassa-428	33	15	of	of	ADP
ijassa-428	33	16	uncertainty	uncertainty	NOUN
ijassa-428	33	17	need	need	AUX
ijassa-428	33	18	not	not	PART
ijassa-428	33	19	even	even	ADV
ijassa-428	33	20	be	be	AUX
ijassa-428	33	21	approximately	approximately	ADV
ijassa-428	33	22	optimal	optimal	ADJ
ijassa-428	33	23	in	in	ADP
ijassa-428	33	24	the	the	DET
ijassa-428	33	25	presence	presence	NOUN
ijassa-428	33	26	of	of	ADP
ijassa-428	33	27	such	such	ADJ
ijassa-428	33	28	uncertainty	uncertainty	NOUN
ijassa-428	33	29	.	.	PUNCT
ijassa-428	34	1	the	the	DET
ijassa-428	34	2	problem	problem	NOUN
ijassa-428	34	3	of	of	ADP
ijassa-428	34	4	determining	determine	VERB
ijassa-428	34	5	an	an	DET
ijassa-428	34	6	optimal	optimal	ADJ
ijassa-428	34	7	decision	decision	NOUN
ijassa-428	34	8	rule	rule	NOUN
ijassa-428	34	9	in	in	ADP
ijassa-428	34	10	the	the	DET
ijassa-428	34	11	absence	absence	NOUN
ijassa-428	34	12	of	of	ADP
ijassa-428	34	13	complete	complete	ADJ
ijassa-428	34	14	information	information	NOUN
ijassa-428	34	15	about	about	ADP
ijassa-428	34	16	the	the	DET
ijassa-428	34	17	underlying	underlie	VERB
ijassa-428	34	18	distribution	distribution	NOUN
ijassa-428	34	19	,	,	PUNCT
ijassa-428	34	20	i.e.	i.e.	X
ijassa-428	34	21	,	,	PUNCT
ijassa-428	34	22	when	when	SCONJ
ijassa-428	34	23	we	we	PRON
ijassa-428	34	24	specify	specify	VERB
ijassa-428	34	25	only	only	ADV
ijassa-428	34	26	the	the	DET
ijassa-428	34	27	functional	functional	ADJ
ijassa-428	34	28	form	form	NOUN
ijassa-428	34	29	of	of	ADP
ijassa-428	34	30	the	the	DET
ijassa-428	34	31	distribution	distribution	NOUN
ijassa-428	34	32	and	and	CCONJ
ijassa-428	34	33	leave	leave	VERB
ijassa-428	34	34	some	some	PRON
ijassa-428	34	35	or	or	CCONJ
ijassa-428	34	36	all	all	PRON
ijassa-428	34	37	of	of	ADP
ijassa-428	34	38	its	its	PRON
ijassa-428	34	39	parameters	parameter	NOUN
ijassa-428	34	40	unspecified	unspecified	ADJ
ijassa-428	34	41	,	,	PUNCT
ijassa-428	34	42	is	be	AUX
ijassa-428	34	43	seen	see	VERB
ijassa-428	34	44	to	to	PART
ijassa-428	34	45	be	be	AUX
ijassa-428	34	46	a	a	DET
ijassa-428	34	47	standard	standard	ADJ
ijassa-428	34	48	problem	problem	NOUN
ijassa-428	34	49	of	of	ADP
ijassa-428	34	50	statistical	statistical	ADJ
ijassa-428	34	51	estimation	estimation	NOUN
ijassa-428	34	52	.	.	PUNCT
ijassa-428	35	1	unfortunately	unfortunately	ADV
ijassa-428	35	2	,	,	PUNCT
ijassa-428	35	3	the	the	DET
ijassa-428	35	4	classical	classical	ADJ
ijassa-428	35	5	theory	theory	NOUN
ijassa-428	35	6	of	of	ADP
ijassa-428	35	7	statistical	statistical	ADJ
ijassa-428	35	8	estimation	estimation	NOUN
ijassa-428	35	9	has	have	VERB
ijassa-428	35	10	little	little	ADJ
ijassa-428	35	11	to	to	PART
ijassa-428	35	12	offer	offer	VERB
ijassa-428	35	13	in	in	ADP
ijassa-428	35	14	general	general	ADJ
ijassa-428	35	15	type	type	NOUN
ijassa-428	35	16	of	of	ADP
ijassa-428	35	17	situation	situation	NOUN
ijassa-428	35	18	of	of	ADP
ijassa-428	35	19	loss	loss	NOUN
ijassa-428	35	20	function	function	NOUN
ijassa-428	35	21	.	.	PUNCT
ijassa-428	36	1	the	the	DET
ijassa-428	36	2	bulk	bulk	NOUN
ijassa-428	36	3	of	of	ADP
ijassa-428	36	4	the	the	DET
ijassa-428	36	5	classical	classical	ADJ
ijassa-428	36	6	theory	theory	NOUN
ijassa-428	36	7	has	have	AUX
ijassa-428	36	8	been	be	AUX
ijassa-428	36	9	developed	develop	VERB
ijassa-428	36	10	about	about	ADP
ijassa-428	36	11	the	the	DET
ijassa-428	36	12	assumption	assumption	NOUN
ijassa-428	36	13	of	of	ADP
ijassa-428	36	14	a	a	DET
ijassa-428	36	15	quadratic	quadratic	ADJ
ijassa-428	36	16	,	,	PUNCT
ijassa-428	36	17	or	or	CCONJ
ijassa-428	36	18	at	at	ADP
ijassa-428	36	19	least	least	ADJ
ijassa-428	36	20	symmetric	symmetric	ADJ
ijassa-428	36	21	and	and	CCONJ
ijassa-428	36	22	analytically	analytically	ADV
ijassa-428	36	23	simple	simple	ADJ
ijassa-428	36	24	loss	loss	NOUN
ijassa-428	36	25	structure	structure	NOUN
ijassa-428	36	26	.	.	PUNCT
ijassa-428	37	1	in	in	ADP
ijassa-428	37	2	some	some	DET
ijassa-428	37	3	cases	case	NOUN
ijassa-428	37	4	this	this	DET
ijassa-428	37	5	assumption	assumption	NOUN
ijassa-428	37	6	is	be	AUX
ijassa-428	37	7	made	make	VERB
ijassa-428	37	8	explicit	explicit	ADJ
ijassa-428	37	9	,	,	PUNCT
ijassa-428	37	10	although	although	SCONJ
ijassa-428	37	11	in	in	ADP
ijassa-428	37	12	most	most	ADJ
ijassa-428	37	13	it	it	PRON
ijassa-428	37	14	is	be	AUX
ijassa-428	37	15	implicit	implicit	ADJ
ijassa-428	37	16	in	in	ADP
ijassa-428	37	17	the	the	DET
ijassa-428	37	18	search	search	NOUN
ijassa-428	37	19	for	for	ADP
ijassa-428	37	20	estimating	estimate	VERB
ijassa-428	37	21	procedures	procedure	NOUN
ijassa-428	37	22	that	that	PRON
ijassa-428	37	23	have	have	VERB
ijassa-428	37	24	the	the	DET
ijassa-428	37	25	“	"	PUNCT
ijassa-428	37	26	nice	nice	ADJ
ijassa-428	37	27	”	"	PUNCT
ijassa-428	37	28	statistical	statistical	ADJ
ijassa-428	37	29	properties	property	NOUN
ijassa-428	37	30	of	of	ADP
ijassa-428	37	31	unbiasedness	unbiasedness	NOUN
ijassa-428	37	32	and	and	CCONJ
ijassa-428	37	33	minimum	minimum	ADJ
ijassa-428	37	34	variance	variance	NOUN
ijassa-428	37	35	.	.	PUNCT
ijassa-428	38	1	such	such	ADJ
ijassa-428	38	2	procedures	procedure	NOUN
ijassa-428	38	3	are	be	AUX
ijassa-428	38	4	usually	usually	ADV
ijassa-428	38	5	satisfactory	satisfactory	ADJ
ijassa-428	38	6	if	if	SCONJ
ijassa-428	38	7	the	the	DET
ijassa-428	38	8	estimators	estimator	NOUN
ijassa-428	38	9	so	so	ADV
ijassa-428	38	10	generated	generate	VERB
ijassa-428	38	11	are	be	AUX
ijassa-428	38	12	to	to	PART
ijassa-428	38	13	be	be	AUX
ijassa-428	38	14	used	use	VERB
ijassa-428	38	15	70	70	NUM
ijassa-428	38	16	konstantin	konstantin	PROPN
ijassa-428	38	17	n.	n.	PROPN
ijassa-428	38	18	nechval	nechval	PROPN
ijassa-428	38	19	:	:	PUNCT
ijassa-428	38	20	optimization	optimization	NOUN
ijassa-428	38	21	of	of	ADP
ijassa-428	38	22	statistical	statistical	ADJ
ijassa-428	38	23	decision	decision	NOUN
ijassa-428	38	24	for	for	ADP
ijassa-428	38	25	personnel	personnel	NOUN
ijassa-428	38	26	management	management	NOUN
ijassa-428	38	27	...	...	PUNCT
ijassa-428	38	28	solely	solely	ADV
ijassa-428	38	29	for	for	ADP
ijassa-428	38	30	the	the	DET
ijassa-428	38	31	purpose	purpose	NOUN
ijassa-428	38	32	of	of	ADP
ijassa-428	38	33	reporting	report	VERB
ijassa-428	38	34	information	information	NOUN
ijassa-428	38	35	to	to	ADP
ijassa-428	38	36	another	another	DET
ijassa-428	38	37	party	party	NOUN
ijassa-428	38	38	for	for	ADP
ijassa-428	38	39	an	an	DET
ijassa-428	38	40	unknown	unknown	ADJ
ijassa-428	38	41	purpose	purpose	NOUN
ijassa-428	38	42	,	,	PUNCT
ijassa-428	38	43	when	when	SCONJ
ijassa-428	38	44	the	the	DET
ijassa-428	38	45	loss	loss	NOUN
ijassa-428	38	46	structure	structure	NOUN
ijassa-428	38	47	is	be	AUX
ijassa-428	38	48	not	not	PART
ijassa-428	38	49	easily	easily	ADV
ijassa-428	38	50	discernible	discernible	ADJ
ijassa-428	38	51	,	,	PUNCT
ijassa-428	38	52	or	or	CCONJ
ijassa-428	38	53	when	when	SCONJ
ijassa-428	38	54	the	the	DET
ijassa-428	38	55	number	number	NOUN
ijassa-428	38	56	of	of	ADP
ijassa-428	38	57	observations	observation	NOUN
ijassa-428	38	58	is	be	AUX
ijassa-428	38	59	large	large	ADJ
ijassa-428	38	60	enough	enough	ADV
ijassa-428	38	61	to	to	PART
ijassa-428	38	62	support	support	VERB
ijassa-428	38	63	normal	normal	ADJ
ijassa-428	38	64	approximations	approximation	NOUN
ijassa-428	38	65	and	and	CCONJ
ijassa-428	38	66	asymptotic	asymptotic	ADJ
ijassa-428	38	67	results	result	NOUN
ijassa-428	38	68	.	.	PUNCT
ijassa-428	39	1	unfortunately	unfortunately	ADV
ijassa-428	39	2	,	,	PUNCT
ijassa-428	39	3	we	we	PRON
ijassa-428	39	4	seldom	seldom	ADV
ijassa-428	39	5	are	be	AUX
ijassa-428	39	6	fortunate	fortunate	ADJ
ijassa-428	39	7	enough	enough	ADV
ijassa-428	39	8	to	to	PART
ijassa-428	39	9	be	be	AUX
ijassa-428	39	10	in	in	ADP
ijassa-428	39	11	asymptotic	asymptotic	ADJ
ijassa-428	39	12	situations	situation	NOUN
ijassa-428	39	13	.	.	PUNCT
ijassa-428	40	1	small	small	ADJ
ijassa-428	40	2	sample	sample	NOUN
ijassa-428	40	3	sizes	size	NOUN
ijassa-428	40	4	are	be	AUX
ijassa-428	40	5	generally	generally	ADV
ijassa-428	40	6	the	the	DET
ijassa-428	40	7	rule	rule	NOUN
ijassa-428	40	8	when	when	SCONJ
ijassa-428	40	9	estimation	estimation	NOUN
ijassa-428	40	10	of	of	ADP
ijassa-428	40	11	system	system	NOUN
ijassa-428	40	12	states	state	NOUN
ijassa-428	40	13	and	and	CCONJ
ijassa-428	40	14	the	the	DET
ijassa-428	40	15	small	small	ADJ
ijassa-428	40	16	sample	sample	NOUN
ijassa-428	40	17	properties	property	NOUN
ijassa-428	40	18	of	of	ADP
ijassa-428	40	19	estimators	estimator	NOUN
ijassa-428	40	20	do	do	AUX
ijassa-428	40	21	not	not	PART
ijassa-428	40	22	appear	appear	VERB
ijassa-428	40	23	to	to	PART
ijassa-428	40	24	have	have	AUX
ijassa-428	40	25	been	be	AUX
ijassa-428	40	26	thoroughly	thoroughly	ADV
ijassa-428	40	27	investigated	investigate	VERB
ijassa-428	40	28	.	.	PUNCT
ijassa-428	41	1	therefore	therefore	ADV
ijassa-428	41	2	,	,	PUNCT
ijassa-428	41	3	the	the	DET
ijassa-428	41	4	above	above	ADJ
ijassa-428	41	5	procedures	procedure	NOUN
ijassa-428	41	6	of	of	ADP
ijassa-428	41	7	the	the	DET
ijassa-428	41	8	statistical	statistical	ADJ
ijassa-428	41	9	estimation	estimation	NOUN
ijassa-428	41	10	have	have	AUX
ijassa-428	41	11	long	long	ADV
ijassa-428	41	12	been	be	AUX
ijassa-428	41	13	recognized	recognize	VERB
ijassa-428	41	14	as	as	ADP
ijassa-428	41	15	deficient	deficient	ADJ
ijassa-428	41	16	,	,	PUNCT
ijassa-428	41	17	however	however	ADV
ijassa-428	41	18	,	,	PUNCT
ijassa-428	41	19	when	when	SCONJ
ijassa-428	41	20	the	the	DET
ijassa-428	41	21	purpose	purpose	NOUN
ijassa-428	41	22	of	of	ADP
ijassa-428	41	23	estimation	estimation	NOUN
ijassa-428	41	24	is	be	AUX
ijassa-428	41	25	the	the	DET
ijassa-428	41	26	making	making	NOUN
ijassa-428	41	27	of	of	ADP
ijassa-428	41	28	a	a	DET
ijassa-428	41	29	specific	specific	ADJ
ijassa-428	41	30	decision	decision	NOUN
ijassa-428	41	31	(	(	PUNCT
ijassa-428	41	32	or	or	CCONJ
ijassa-428	41	33	sequence	sequence	NOUN
ijassa-428	41	34	of	of	ADP
ijassa-428	41	35	decisions	decision	NOUN
ijassa-428	41	36	)	)	PUNCT
ijassa-428	41	37	on	on	ADP
ijassa-428	41	38	the	the	DET
ijassa-428	41	39	basis	basis	NOUN
ijassa-428	41	40	of	of	ADP
ijassa-428	41	41	a	a	DET
ijassa-428	41	42	limited	limited	ADJ
ijassa-428	41	43	amount	amount	NOUN
ijassa-428	41	44	of	of	ADP
ijassa-428	41	45	information	information	NOUN
ijassa-428	41	46	in	in	ADP
ijassa-428	41	47	a	a	DET
ijassa-428	41	48	situation	situation	NOUN
ijassa-428	41	49	where	where	SCONJ
ijassa-428	41	50	the	the	DET
ijassa-428	41	51	losses	loss	NOUN
ijassa-428	41	52	are	be	AUX
ijassa-428	41	53	clearly	clearly	ADV
ijassa-428	41	54	asymmetric	asymmetric	ADJ
ijassa-428	41	55	-	-	PUNCT
ijassa-428	41	56	as	as	SCONJ
ijassa-428	41	57	they	they	PRON
ijassa-428	41	58	are	be	AUX
ijassa-428	41	59	here	here	ADV
ijassa-428	41	60	.	.	PUNCT
ijassa-428	42	1	in	in	ADP
ijassa-428	42	2	this	this	DET
ijassa-428	42	3	paper	paper	NOUN
ijassa-428	42	4	,	,	PUNCT
ijassa-428	42	5	we	we	PRON
ijassa-428	42	6	propose	propose	VERB
ijassa-428	42	7	a	a	DET
ijassa-428	42	8	new	new	ADJ
ijassa-428	42	9	technique	technique	NOUN
ijassa-428	42	10	to	to	PART
ijassa-428	42	11	solve	solve	VERB
ijassa-428	42	12	optimization	optimization	NOUN
ijassa-428	42	13	problems	problem	NOUN
ijassa-428	42	14	of	of	ADP
ijassa-428	42	15	statistical	statistical	ADJ
ijassa-428	42	16	decisions	decision	NOUN
ijassa-428	42	17	under	under	ADP
ijassa-428	42	18	parametric	parametric	ADJ
ijassa-428	42	19	uncertainty	uncertainty	NOUN
ijassa-428	42	20	.	.	PUNCT
ijassa-428	43	1	the	the	DET
ijassa-428	43	2	technique	technique	NOUN
ijassa-428	43	3	is	be	AUX
ijassa-428	43	4	based	base	VERB
ijassa-428	43	5	on	on	ADP
ijassa-428	43	6	the	the	DET
ijassa-428	43	7	constructive	constructive	ADJ
ijassa-428	43	8	use	use	NOUN
ijassa-428	43	9	of	of	ADP
ijassa-428	43	10	the	the	DET
ijassa-428	43	11	invariance	invariance	NOUN
ijassa-428	43	12	principle	principle	NOUN
ijassa-428	43	13	for	for	ADP
ijassa-428	43	14	improvement	improvement	NOUN
ijassa-428	43	15	(	(	PUNCT
ijassa-428	43	16	or	or	CCONJ
ijassa-428	43	17	optimization	optimization	NOUN
ijassa-428	43	18	)	)	PUNCT
ijassa-428	43	19	of	of	ADP
ijassa-428	43	20	statistical	statistical	ADJ
ijassa-428	43	21	decisions	decision	NOUN
ijassa-428	43	22	.	.	PUNCT
ijassa-428	44	1	it	it	PRON
ijassa-428	44	2	allows	allow	VERB
ijassa-428	44	3	one	one	PRON
ijassa-428	44	4	to	to	PART
ijassa-428	44	5	yield	yield	VERB
ijassa-428	44	6	an	an	DET
ijassa-428	44	7	operational	operational	ADJ
ijassa-428	44	8	,	,	PUNCT
ijassa-428	44	9	optimal	optimal	ADJ
ijassa-428	44	10	information	information	NOUN
ijassa-428	44	11	-	-	PUNCT
ijassa-428	44	12	processing	processing	NOUN
ijassa-428	44	13	rule	rule	NOUN
ijassa-428	44	14	and	and	CCONJ
ijassa-428	44	15	may	may	AUX
ijassa-428	44	16	be	be	AUX
ijassa-428	44	17	employed	employ	VERB
ijassa-428	44	18	for	for	ADP
ijassa-428	44	19	finding	find	VERB
ijassa-428	44	20	the	the	DET
ijassa-428	44	21	effective	effective	ADJ
ijassa-428	44	22	statistical	statistical	ADJ
ijassa-428	44	23	decisions	decision	NOUN
ijassa-428	44	24	for	for	ADP
ijassa-428	44	25	many	many	ADJ
ijassa-428	44	26	problems	problem	NOUN
ijassa-428	44	27	of	of	ADP
ijassa-428	44	28	the	the	DET
ijassa-428	44	29	operations	operation	NOUN
ijassa-428	44	30	research	research	NOUN
ijassa-428	44	31	and	and	CCONJ
ijassa-428	44	32	management	management	NOUN
ijassa-428	44	33	science	science	NOUN
ijassa-428	44	34	.	.	PUNCT
ijassa-428	45	1	the	the	DET
ijassa-428	45	2	illustrative	illustrative	ADJ
ijassa-428	45	3	application	application	NOUN
ijassa-428	45	4	of	of	ADP
ijassa-428	45	5	the	the	DET
ijassa-428	45	6	invariant	invariant	ADJ
ijassa-428	45	7	embedding	embed	VERB
ijassa-428	45	8	technique	technique	NOUN
ijassa-428	45	9	to	to	ADP
ijassa-428	45	10	personnel	personnel	NOUN
ijassa-428	45	11	management	management	NOUN
ijassa-428	45	12	problems	problem	NOUN
ijassa-428	45	13	in	in	ADP
ijassa-428	45	14	tourism	tourism	NOUN
ijassa-428	45	15	is	be	AUX
ijassa-428	45	16	given	give	VERB
ijassa-428	45	17	below	below	ADP
ijassa-428	45	18	.	.	PUNCT
ijassa-428	46	1	2	2	NUM
ijassa-428	46	2	invariant	invariant	ADJ
ijassa-428	46	3	embedding	embed	VERB
ijassa-428	46	4	technique	technique	NOUN
ijassa-428	46	5	this	this	DET
ijassa-428	46	6	paper	paper	NOUN
ijassa-428	46	7	is	be	AUX
ijassa-428	46	8	concerned	concern	VERB
ijassa-428	46	9	with	with	ADP
ijassa-428	46	10	the	the	DET
ijassa-428	46	11	implications	implication	NOUN
ijassa-428	46	12	of	of	ADP
ijassa-428	46	13	group	group	NOUN
ijassa-428	46	14	theoretic	theoretic	ADJ
ijassa-428	46	15	structure	structure	NOUN
ijassa-428	46	16	for	for	ADP
ijassa-428	46	17	invariant	invariant	ADJ
ijassa-428	46	18	performance	performance	NOUN
ijassa-428	46	19	indexes	index	NOUN
ijassa-428	46	20	.	.	PUNCT
ijassa-428	47	1	we	we	PRON
ijassa-428	47	2	present	present	VERB
ijassa-428	47	3	an	an	DET
ijassa-428	47	4	invariant	invariant	ADJ
ijassa-428	47	5	embedding	embed	VERB
ijassa-428	47	6	technique	technique	NOUN
ijassa-428	47	7	based	base	VERB
ijassa-428	47	8	on	on	ADP
ijassa-428	47	9	the	the	DET
ijassa-428	47	10	constructive	constructive	ADJ
ijassa-428	47	11	use	use	NOUN
ijassa-428	47	12	of	of	ADP
ijassa-428	47	13	the	the	DET
ijassa-428	47	14	invariance	invariance	NOUN
ijassa-428	47	15	principle	principle	NOUN
ijassa-428	47	16	for	for	ADP
ijassa-428	47	17	decision	decision	NOUN
ijassa-428	47	18	-	-	PUNCT
ijassa-428	47	19	making	making	NOUN
ijassa-428	47	20	.	.	PUNCT
ijassa-428	48	1	this	this	DET
ijassa-428	48	2	technique	technique	NOUN
ijassa-428	48	3	allows	allow	VERB
ijassa-428	48	4	one	one	NUM
ijassa-428	48	5	to	to	PART
ijassa-428	48	6	solve	solve	VERB
ijassa-428	48	7	many	many	ADJ
ijassa-428	48	8	problems	problem	NOUN
ijassa-428	48	9	of	of	ADP
ijassa-428	48	10	the	the	DET
ijassa-428	48	11	theory	theory	NOUN
ijassa-428	48	12	of	of	ADP
ijassa-428	48	13	statistical	statistical	ADJ
ijassa-428	48	14	inferences	inference	NOUN
ijassa-428	48	15	in	in	ADP
ijassa-428	48	16	a	a	DET
ijassa-428	48	17	simple	simple	ADJ
ijassa-428	48	18	way	way	NOUN
ijassa-428	48	19	.	.	PUNCT
ijassa-428	49	1	the	the	DET
ijassa-428	49	2	aim	aim	NOUN
ijassa-428	49	3	of	of	ADP
ijassa-428	49	4	the	the	DET
ijassa-428	49	5	present	present	ADJ
ijassa-428	49	6	paper	paper	NOUN
ijassa-428	49	7	is	be	AUX
ijassa-428	49	8	to	to	PART
ijassa-428	49	9	show	show	VERB
ijassa-428	49	10	how	how	SCONJ
ijassa-428	49	11	the	the	DET
ijassa-428	49	12	invariance	invariance	NOUN
ijassa-428	49	13	principle	principle	NOUN
ijassa-428	49	14	may	may	AUX
ijassa-428	49	15	be	be	AUX
ijassa-428	49	16	employed	employ	VERB
ijassa-428	49	17	in	in	ADP
ijassa-428	49	18	the	the	DET
ijassa-428	49	19	particular	particular	ADJ
ijassa-428	49	20	case	case	NOUN
ijassa-428	49	21	of	of	ADP
ijassa-428	49	22	improvement	improvement	NOUN
ijassa-428	49	23	or	or	CCONJ
ijassa-428	49	24	optimization	optimization	NOUN
ijassa-428	49	25	of	of	ADP
ijassa-428	49	26	statistical	statistical	ADJ
ijassa-428	49	27	decisions	decision	NOUN
ijassa-428	49	28	.	.	PUNCT
ijassa-428	50	1	the	the	DET
ijassa-428	50	2	technique	technique	NOUN
ijassa-428	50	3	used	use	VERB
ijassa-428	50	4	here	here	ADV
ijassa-428	50	5	is	be	AUX
ijassa-428	50	6	a	a	DET
ijassa-428	50	7	special	special	ADJ
ijassa-428	50	8	case	case	NOUN
ijassa-428	50	9	of	of	ADP
ijassa-428	50	10	more	more	ADJ
ijassa-428	50	11	general	general	ADJ
ijassa-428	50	12	considerations	consideration	NOUN
ijassa-428	50	13	applicable	applicable	ADJ
ijassa-428	50	14	whenever	whenever	SCONJ
ijassa-428	50	15	the	the	DET
ijassa-428	50	16	statistical	statistical	ADJ
ijassa-428	50	17	problem	problem	NOUN
ijassa-428	50	18	is	be	AUX
ijassa-428	50	19	invariant	invariant	ADJ
ijassa-428	50	20	under	under	ADP
ijassa-428	50	21	a	a	DET
ijassa-428	50	22	group	group	NOUN
ijassa-428	50	23	of	of	ADP
ijassa-428	50	24	transformations	transformation	NOUN
ijassa-428	50	25	,	,	PUNCT
ijassa-428	50	26	which	which	PRON
ijassa-428	50	27	acts	act	VERB
ijassa-428	50	28	transitively	transitively	PROPN
ijassa-428	50	29	on	on	ADP
ijassa-428	50	30	the	the	DET
ijassa-428	50	31	parameter	parameter	NOUN
ijassa-428	50	32	space	space	NOUN
ijassa-428	50	33	[	[	X
ijassa-428	50	34	8	8	NUM
ijassa-428	50	35	-	-	SYM
ijassa-428	50	36	13	13	NUM
ijassa-428	50	37	]	]	PUNCT
ijassa-428	50	38	.	.	PUNCT
ijassa-428	51	1	2.1	2.1	NUM
ijassa-428	51	2	preliminaries	preliminary	NOUN
ijassa-428	51	3	our	our	PRON
ijassa-428	51	4	underlying	underlie	VERB
ijassa-428	51	5	structure	structure	NOUN
ijassa-428	51	6	consists	consist	VERB
ijassa-428	51	7	of	of	ADP
ijassa-428	51	8	a	a	DET
ijassa-428	51	9	class	class	NOUN
ijassa-428	51	10	of	of	ADP
ijassa-428	51	11	probability	probability	NOUN
ijassa-428	51	12	models	model	NOUN
ijassa-428	51	13	(	(	PUNCT
ijassa-428	51	14	x	x	X
ijassa-428	51	15	,	,	PUNCT
ijassa-428	51	16	a	a	PRON
ijassa-428	51	17	,	,	PUNCT
ijassa-428	51	18	p	p	NOUN
ijassa-428	51	19	)	)	PUNCT
ijassa-428	51	20	,	,	PUNCT
ijassa-428	51	21	a	a	DET
ijassa-428	51	22	one	one	NUM
ijassa-428	51	23	-	-	PUNCT
ijassa-428	51	24	one	one	NUM
ijassa-428	51	25	mapping	mapping	NOUN
ijassa-428	51	26	ψ	ψ	ADP
ijassa-428	51	27	taking	take	VERB
ijassa-428	51	28	p	p	NOUN
ijassa-428	51	29	onto	onto	ADP
ijassa-428	51	30	an	an	DET
ijassa-428	51	31	index	index	NOUN
ijassa-428	51	32	set	set	VERB
ijassa-428	51	33	θ	θ	PROPN
ijassa-428	51	34	,	,	PUNCT
ijassa-428	51	35	a	a	DET
ijassa-428	51	36	measurable	measurable	ADJ
ijassa-428	51	37	space	space	NOUN
ijassa-428	51	38	of	of	ADP
ijassa-428	51	39	actions	action	NOUN
ijassa-428	51	40	(	(	PUNCT
ijassa-428	51	41	u	u	NOUN
ijassa-428	51	42	,	,	PUNCT
ijassa-428	51	43	b	b	NOUN
ijassa-428	51	44	)	)	PUNCT
ijassa-428	51	45	,	,	PUNCT
ijassa-428	51	46	and	and	CCONJ
ijassa-428	51	47	a	a	DET
ijassa-428	51	48	real	real	ADV
ijassa-428	51	49	-	-	PUNCT
ijassa-428	51	50	valued	value	VERB
ijassa-428	51	51	function	function	NOUN
ijassa-428	51	52	r	r	NOUN
ijassa-428	51	53	defined	define	VERB
ijassa-428	51	54	on	on	ADP
ijassa-428	51	55	θ×	θ×	PROPN
ijassa-428	51	56	u.	u.	PROPN
ijassa-428	51	57	we	we	PRON
ijassa-428	51	58	assume	assume	VERB
ijassa-428	51	59	that	that	SCONJ
ijassa-428	51	60	a	a	DET
ijassa-428	51	61	group	group	NOUN
ijassa-428	51	62	g	g	NOUN
ijassa-428	51	63	of	of	ADP
ijassa-428	51	64	one	one	NUM
ijassa-428	51	65	-	-	PUNCT
ijassa-428	51	66	one	one	NUM
ijassa-428	51	67	a	a	DET
ijassa-428	51	68	-	-	PUNCT
ijassa-428	51	69	measurable	measurable	ADJ
ijassa-428	51	70	transformations	transformation	NOUN
ijassa-428	51	71	acts	act	VERB
ijassa-428	51	72	on	on	ADP
ijassa-428	51	73	x	x	PUNCT
ijassa-428	51	74	and	and	CCONJ
ijassa-428	51	75	that	that	SCONJ
ijassa-428	51	76	it	it	PRON
ijassa-428	51	77	leaves	leave	VERB
ijassa-428	51	78	the	the	DET
ijassa-428	51	79	class	class	NOUN
ijassa-428	51	80	of	of	ADP
ijassa-428	51	81	models	model	NOUN
ijassa-428	51	82	(	(	PUNCT
ijassa-428	51	83	x	x	X
ijassa-428	51	84	,	,	PUNCT
ijassa-428	51	85	a	a	PRON
ijassa-428	51	86	,	,	PUNCT
ijassa-428	51	87	p	p	NOUN
ijassa-428	51	88	)	)	PUNCT
ijassa-428	51	89	invariant	invariant	ADJ
ijassa-428	51	90	.	.	PUNCT
ijassa-428	52	1	we	we	PRON
ijassa-428	52	2	further	far	ADV
ijassa-428	52	3	assume	assume	VERB
ijassa-428	52	4	that	that	SCONJ
ijassa-428	52	5	homomorphic	homomorphic	ADJ
ijassa-428	52	6	images	image	NOUN
ijassa-428	52	7	g	g	NOUN
ijassa-428	52	8	and	and	CCONJ
ijassa-428	52	9	g̃	g̃	PROPN
ijassa-428	52	10	of	of	ADP
ijassa-428	52	11	g	g	PROPN
ijassa-428	52	12	act	act	NOUN
ijassa-428	52	13	on	on	ADP
ijassa-428	52	14	θ	θ	PROPN
ijassa-428	52	15	and	and	CCONJ
ijassa-428	52	16	u	u	NOUN
ijassa-428	52	17	,	,	PUNCT
ijassa-428	52	18	respectively	respectively	ADV
ijassa-428	52	19	.	.	PUNCT
ijassa-428	53	1	(	(	PUNCT
ijassa-428	53	2	g	g	NOUN
ijassa-428	53	3	may	may	AUX
ijassa-428	53	4	be	be	AUX
ijassa-428	53	5	induced	induce	VERB
ijassa-428	53	6	on	on	ADP
ijassa-428	53	7	θ	θ	PROPN
ijassa-428	53	8	through	through	ADP
ijassa-428	53	9	ψ	ψ	NOUN
ijassa-428	53	10	;	;	PUNCT
ijassa-428	53	11	g̃	g̃	PROPN
ijassa-428	53	12	may	may	AUX
ijassa-428	53	13	be	be	AUX
ijassa-428	53	14	induced	induce	VERB
ijassa-428	53	15	on	on	ADP
ijassa-428	53	16	u	u	NOUN
ijassa-428	53	17	through	through	ADP
ijassa-428	53	18	r	r	NOUN
ijassa-428	53	19	)	)	PUNCT
ijassa-428	53	20	.	.	PUNCT
ijassa-428	54	1	we	we	PRON
ijassa-428	54	2	shall	shall	AUX
ijassa-428	54	3	say	say	VERB
ijassa-428	54	4	that	that	SCONJ
ijassa-428	54	5	r	r	NOUN
ijassa-428	54	6	is	be	AUX
ijassa-428	54	7	invariant	invariant	ADJ
ijassa-428	54	8	if	if	SCONJ
ijassa-428	54	9	for	for	ADP
ijassa-428	54	10	every	every	DET
ijassa-428	54	11	(	(	PUNCT
ijassa-428	54	12	θ	θ	PROPN
ijassa-428	54	13	,	,	PUNCT
ijassa-428	54	14	u	u	NOUN
ijassa-428	54	15	)	)	PUNCT
ijassa-428	54	16	∈	∈	PROPN
ijassa-428	54	17	θ×u	θ×u	PROPN
ijassa-428	54	18	r(gθ	r(gθ	PROPN
ijassa-428	54	19	,	,	PUNCT
ijassa-428	54	20	g̃u	g̃u	PROPN
ijassa-428	54	21	)	)	PUNCT
ijassa-428	54	22	=	=	SYM
ijassa-428	54	23	r(θ	r(θ	NOUN
ijassa-428	54	24	,	,	PUNCT
ijassa-428	54	25	u	u	NOUN
ijassa-428	54	26	)	)	PUNCT
ijassa-428	54	27	,	,	PUNCT
ijassa-428	54	28	g	g	PROPN
ijassa-428	54	29	∈	∈	PROPN
ijassa-428	54	30	g.	g.	NOUN
ijassa-428	54	31	(	(	PUNCT
ijassa-428	54	32	1	1	X
ijassa-428	54	33	)	)	PUNCT
ijassa-428	54	34	advances	advance	NOUN
ijassa-428	54	35	in	in	ADP
ijassa-428	54	36	systems	system	NOUN
ijassa-428	54	37	science	science	NOUN
ijassa-428	54	38	and	and	CCONJ
ijassa-428	54	39	applications	application	NOUN
ijassa-428	54	40	(	(	PUNCT
ijassa-428	54	41	2013	2013	NUM
ijassa-428	54	42	)	)	PUNCT
ijassa-428	54	43	vol.13	vol.13	NOUN
ijassa-428	54	44	no.1	no.1	VERB
ijassa-428	54	45	71	71	NUM
ijassa-428	54	46	given	give	VERB
ijassa-428	54	47	the	the	DET
ijassa-428	54	48	structure	structure	NOUN
ijassa-428	54	49	described	describe	VERB
ijassa-428	54	50	above	above	ADP
ijassa-428	54	51	there	there	PRON
ijassa-428	54	52	are	be	AUX
ijassa-428	54	53	aesthetic	aesthetic	ADJ
ijassa-428	54	54	and	and	CCONJ
ijassa-428	54	55	sometimes	sometimes	ADV
ijassa-428	54	56	admissibility	admissibility	NOUN
ijassa-428	54	57	grounds	ground	NOUN
ijassa-428	54	58	for	for	ADP
ijassa-428	54	59	restricting	restrict	VERB
ijassa-428	54	60	attention	attention	NOUN
ijassa-428	54	61	to	to	ADP
ijassa-428	54	62	decision	decision	NOUN
ijassa-428	54	63	rules	rule	NOUN
ijassa-428	54	64	φ	φ	X
ijassa-428	54	65	:	:	PUNCT
ijassa-428	54	66	x	x	SYM
ijassa-428	54	67	→	→	SYM
ijassa-428	54	68	u	u	X
ijassa-428	54	69	which	which	PRON
ijassa-428	54	70	are	be	AUX
ijassa-428	54	71	(	(	PUNCT
ijassa-428	54	72	g	g	NOUN
ijassa-428	54	73	,	,	PUNCT
ijassa-428	54	74	g̃	g̃	PROPN
ijassa-428	54	75	)	)	PUNCT
ijassa-428	54	76	equivariant	equivariant	NOUN
ijassa-428	54	77	in	in	ADP
ijassa-428	54	78	the	the	DET
ijassa-428	54	79	sense	sense	NOUN
ijassa-428	54	80	that	that	SCONJ
ijassa-428	54	81	φ(gx	φ(gx	NUM
ijassa-428	54	82	)	)	PUNCT
ijassa-428	54	83	=	=	PUNCT
ijassa-428	55	1	g̃φ(x),x	g̃φ(x),x	NOUN
ijassa-428	55	2	∈	∈	PROPN
ijassa-428	55	3	x	x	X
ijassa-428	55	4	,	,	PUNCT
ijassa-428	55	5	g	g	PROPN
ijassa-428	55	6	∈	∈	PROPN
ijassa-428	55	7	g	g	PROPN
ijassa-428	55	8	(	(	PUNCT
ijassa-428	55	9	2	2	NUM
ijassa-428	55	10	)	)	PUNCT
ijassa-428	55	11	if	if	SCONJ
ijassa-428	55	12	g	g	PROPN
ijassa-428	55	13	is	be	AUX
ijassa-428	55	14	trivial	trivial	ADJ
ijassa-428	55	15	and	and	CCONJ
ijassa-428	55	16	(	(	PUNCT
ijassa-428	55	17	1	1	NUM
ijassa-428	55	18	)	)	PUNCT
ijassa-428	55	19	,	,	PUNCT
ijassa-428	55	20	(	(	PUNCT
ijassa-428	55	21	2	2	X
ijassa-428	55	22	)	)	PUNCT
ijassa-428	55	23	hold	hold	NOUN
ijassa-428	55	24	,	,	PUNCT
ijassa-428	55	25	we	we	PRON
ijassa-428	55	26	say	say	VERB
ijassa-428	55	27	φ	φ	PROPN
ijassa-428	55	28	is	be	AUX
ijassa-428	55	29	g	g	NOUN
ijassa-428	55	30	-	-	PUNCT
ijassa-428	55	31	invariant	invariant	ADJ
ijassa-428	55	32	,	,	PUNCT
ijassa-428	55	33	or	or	CCONJ
ijassa-428	55	34	simply	simply	ADV
ijassa-428	55	35	invariant	invariant	ADJ
ijassa-428	55	36	.	.	PUNCT
ijassa-428	56	1	2.2	2.2	NUM
ijassa-428	56	2	invariant	invariant	ADJ
ijassa-428	56	3	functions	function	NOUN
ijassa-428	56	4	we	we	PRON
ijassa-428	56	5	begin	begin	VERB
ijassa-428	56	6	by	by	ADP
ijassa-428	56	7	noting	note	VERB
ijassa-428	56	8	that	that	SCONJ
ijassa-428	56	9	r	r	NOUN
ijassa-428	56	10	is	be	AUX
ijassa-428	56	11	invariant	invariant	ADJ
ijassa-428	56	12	in	in	ADP
ijassa-428	56	13	the	the	DET
ijassa-428	56	14	sense	sense	NOUN
ijassa-428	56	15	of	of	ADP
ijassa-428	56	16	(	(	PUNCT
ijassa-428	56	17	1	1	X
ijassa-428	56	18	)	)	PUNCT
ijassa-428	56	19	if	if	SCONJ
ijassa-428	56	20	and	and	CCONJ
ijassa-428	56	21	only	only	ADV
ijassa-428	56	22	if	if	SCONJ
ijassa-428	56	23	r	r	NOUN
ijassa-428	56	24	is	be	AUX
ijassa-428	56	25	a	a	DET
ijassa-428	56	26	g•invariant	g•invariant	PROPN
ijassa-428	56	27	function	function	NOUN
ijassa-428	56	28	,	,	PUNCT
ijassa-428	56	29	where	where	SCONJ
ijassa-428	56	30	g•	g•	PROPN
ijassa-428	56	31	is	be	AUX
ijassa-428	56	32	defined	define	VERB
ijassa-428	56	33	on	on	ADP
ijassa-428	56	34	θ×u	θ×u	PROPN
ijassa-428	56	35	as	as	SCONJ
ijassa-428	56	36	follows	follow	VERB
ijassa-428	56	37	:	:	PUNCT
ijassa-428	56	38	to	to	ADP
ijassa-428	56	39	each	each	DET
ijassa-428	56	40	g	g	PROPN
ijassa-428	56	41	∈	∈	PROPN
ijassa-428	56	42	g	g	NOUN
ijassa-428	56	43	,	,	PUNCT
ijassa-428	56	44	with	with	ADP
ijassa-428	56	45	homomorphic	homomorphic	ADJ
ijassa-428	56	46	images	image	NOUN
ijassa-428	56	47	g	g	ADP
ijassa-428	56	48	,	,	PUNCT
ijassa-428	56	49	g̃	g̃	PROPN
ijassa-428	56	50	in	in	ADP
ijassa-428	56	51	g	g	NOUN
ijassa-428	56	52	,	,	PUNCT
ijassa-428	56	53	g̃	g̃	PROPN
ijassa-428	56	54	respectively	respectively	ADV
ijassa-428	56	55	,	,	PUNCT
ijassa-428	56	56	let	let	VERB
ijassa-428	56	57	g•(θ	g•(θ	NOUN
ijassa-428	56	58	,	,	PUNCT
ijassa-428	56	59	u	u	NOUN
ijassa-428	56	60	)	)	PUNCT
ijassa-428	56	61	=	=	SYM
ijassa-428	56	62	(	(	PUNCT
ijassa-428	56	63	ḡθ	ḡθ	PROPN
ijassa-428	56	64	,	,	PUNCT
ijassa-428	56	65	g̃u	g̃u	PROPN
ijassa-428	56	66	)	)	PUNCT
ijassa-428	56	67	,	,	PUNCT
ijassa-428	56	68	(	(	PUNCT
ijassa-428	56	69	θ	θ	NOUN
ijassa-428	56	70	,	,	PUNCT
ijassa-428	56	71	u	u	NOUN
ijassa-428	56	72	)	)	PUNCT
ijassa-428	56	73	∈	∈	PROPN
ijassa-428	56	74	(	(	PUNCT
ijassa-428	56	75	θ×	θ×	PROPN
ijassa-428	56	76	u	u	PROPN
ijassa-428	56	77	)	)	PUNCT
ijassa-428	56	78	.	.	PUNCT
ijassa-428	57	1	it	it	PRON
ijassa-428	57	2	is	be	AUX
ijassa-428	57	3	assumed	assume	VERB
ijassa-428	57	4	that	that	SCONJ
ijassa-428	57	5	g̃	g̃	PROPN
ijassa-428	57	6	is	be	AUX
ijassa-428	57	7	a	a	DET
ijassa-428	57	8	homomorphic	homomorphic	ADJ
ijassa-428	57	9	image	image	NOUN
ijassa-428	57	10	of	of	ADP
ijassa-428	57	11	g.	g.	PROPN
ijassa-428	57	12	definition	definition	NOUN
ijassa-428	57	13	1	1	NUM
ijassa-428	57	14	(	(	PUNCT
ijassa-428	57	15	transitivity	transitivity	NOUN
ijassa-428	57	16	)	)	PUNCT
ijassa-428	57	17	.	.	PUNCT
ijassa-428	58	1	a	a	DET
ijassa-428	58	2	transformation	transformation	NOUN
ijassa-428	58	3	group	group	NOUN
ijassa-428	58	4	g	g	NOUN
ijassa-428	58	5	acting	act	VERB
ijassa-428	58	6	on	on	ADP
ijassa-428	58	7	a	a	DET
ijassa-428	58	8	set	set	ADJ
ijassa-428	58	9	θ	θ	PROPN
ijassa-428	58	10	is	be	AUX
ijassa-428	58	11	called	call	VERB
ijassa-428	58	12	(	(	PUNCT
ijassa-428	58	13	uniquely	uniquely	ADV
ijassa-428	58	14	)	)	PUNCT
ijassa-428	58	15	transitive	transitive	ADJ
ijassa-428	58	16	if	if	SCONJ
ijassa-428	58	17	for	for	ADP
ijassa-428	58	18	every	every	DET
ijassa-428	58	19	θ,ϑ	θ,ϑ	NOUN
ijassa-428	58	20	∈	∈	PROPN
ijassa-428	58	21	θ	θ	NOUN
ijassa-428	58	22	there	there	PRON
ijassa-428	58	23	exists	exist	VERB
ijassa-428	58	24	a	a	DET
ijassa-428	58	25	(	(	PUNCT
ijassa-428	58	26	unique	unique	ADJ
ijassa-428	58	27	)	)	PUNCT
ijassa-428	58	28	g	g	NOUN
ijassa-428	58	29	=	=	SYM
ijassa-428	58	30	g	g	PROPN
ijassa-428	58	31	such	such	ADJ
ijassa-428	58	32	that	that	DET
ijassa-428	58	33	gθ	gθ	PROPN
ijassa-428	58	34	=	=	PUNCT
ijassa-428	58	35	ϑ.	ϑ.	NOUN
ijassa-428	58	36	when	when	SCONJ
ijassa-428	58	37	g	g	PROPN
ijassa-428	58	38	is	be	AUX
ijassa-428	58	39	transitive	transitive	ADJ
ijassa-428	58	40	on	on	ADP
ijassa-428	58	41	θ	θ	PROPN
ijassa-428	58	42	we	we	PRON
ijassa-428	58	43	may	may	AUX
ijassa-428	58	44	index	index	VERB
ijassa-428	58	45	g	g	NOUN
ijassa-428	58	46	by	by	ADP
ijassa-428	58	47	θ	θ	PROPN
ijassa-428	58	48	:	:	PUNCT
ijassa-428	58	49	fix	fix	VERB
ijassa-428	58	50	an	an	DET
ijassa-428	58	51	arbitrary	arbitrary	ADJ
ijassa-428	58	52	point	point	NOUN
ijassa-428	58	53	θ	θ	NOUN
ijassa-428	58	54	∈	∈	PROPN
ijassa-428	58	55	θ	θ	PROPN
ijassa-428	58	56	and	and	CCONJ
ijassa-428	58	57	define	define	VERB
ijassa-428	58	58	gθ1	gθ1	NOUN
ijassa-428	58	59	to	to	PART
ijassa-428	58	60	be	be	AUX
ijassa-428	58	61	the	the	DET
ijassa-428	58	62	unique	unique	ADJ
ijassa-428	58	63	g	g	NOUN
ijassa-428	58	64	=	=	SYM
ijassa-428	58	65	g	g	PROPN
ijassa-428	58	66	satisfying	satisfy	VERB
ijassa-428	58	67	gθ	gθ	X
ijassa-428	58	68	=	=	SYM
ijassa-428	58	69	θ1	θ1	PROPN
ijassa-428	58	70	.	.	PUNCT
ijassa-428	59	1	the	the	DET
ijassa-428	59	2	identity	identity	NOUN
ijassa-428	59	3	of	of	ADP
ijassa-428	59	4	g	g	PROPN
ijassa-428	59	5	clearly	clearly	ADV
ijassa-428	59	6	corresponds	correspond	VERB
ijassa-428	59	7	to	to	ADP
ijassa-428	59	8	θ	θ	PROPN
ijassa-428	59	9	.	.	PUNCT
ijassa-428	60	1	an	an	DET
ijassa-428	60	2	immediate	immediate	ADJ
ijassa-428	60	3	consequence	consequence	NOUN
ijassa-428	60	4	is	be	AUX
ijassa-428	60	5	lemma	lemma	PROPN
ijassa-428	60	6	1	1	NUM
ijassa-428	60	7	.	.	PUNCT
ijassa-428	61	1	lemma	lemma	PROPN
ijassa-428	61	2	1	1	NUM
ijassa-428	61	3	(	(	PUNCT
ijassa-428	61	4	transformation	transformation	NOUN
ijassa-428	61	5	)	)	PUNCT
ijassa-428	61	6	.	.	PUNCT
ijassa-428	62	1	let	let	VERB
ijassa-428	62	2	g	g	PRON
ijassa-428	62	3	be	be	AUX
ijassa-428	62	4	transitive	transitive	ADJ
ijassa-428	62	5	on	on	ADP
ijassa-428	62	6	θ	θ	PROPN
ijassa-428	62	7	.	.	PUNCT
ijassa-428	63	1	fix	fix	VERB
ijassa-428	63	2	θ	θ	NOUN
ijassa-428	63	3	∈	∈	NOUN
ijassa-428	63	4	θ	θ	PROPN
ijassa-428	63	5	and	and	CCONJ
ijassa-428	63	6	define	define	VERB
ijassa-428	63	7	gθ1	gθ1	NOUN
ijassa-428	63	8	as	as	ADP
ijassa-428	63	9	above	above	ADV
ijassa-428	63	10	.	.	PUNCT
ijassa-428	64	1	then	then	ADV
ijassa-428	64	2	gqθ1	gqθ1	NOUN
ijassa-428	64	3	=	=	PUNCT
ijassa-428	64	4	q	q	PART
ijassa-428	64	5	gθ1	gθ1	NOUN
ijassa-428	64	6	for	for	ADP
ijassa-428	64	7	θ	θ	PROPN
ijassa-428	64	8	∈	∈	PROPN
ijassa-428	64	9	θ	θ	PROPN
ijassa-428	64	10	,	,	PUNCT
ijassa-428	64	11	q	q	PROPN
ijassa-428	64	12	∈	∈	PROPN
ijassa-428	64	13	g.	g.	NOUN
ijassa-428	64	14	proof.the	proof.the	DET
ijassa-428	64	15	identity	identity	NOUN
ijassa-428	64	16	gqθ1θ	gqθ1θ	PROPN
ijassa-428	64	17	=	=	SYM
ijassa-428	64	18	qθ1	qθ1	NOUN
ijassa-428	64	19	=	=	NOUN
ijassa-428	64	20	q	q	PROPN
ijassa-428	64	21	gθ1θ	gθ1θ	NOUN
ijassa-428	64	22	shows	show	VERB
ijassa-428	64	23	that	that	SCONJ
ijassa-428	64	24	gqθ1	gqθ1	NOUN
ijassa-428	64	25	and	and	CCONJ
ijassa-428	64	26	q	q	NOUN
ijassa-428	64	27	gθ1	gθ1	NOUN
ijassa-428	64	28	both	both	PRON
ijassa-428	64	29	take	take	VERB
ijassa-428	64	30	θ	θ	PROPN
ijassa-428	64	31	into	into	ADP
ijassa-428	64	32	qθ1	qθ1	NOUN
ijassa-428	64	33	,	,	PUNCT
ijassa-428	64	34	and	and	CCONJ
ijassa-428	64	35	the	the	DET
ijassa-428	64	36	lemma	lemma	PROPN
ijassa-428	64	37	follows	follow	VERB
ijassa-428	64	38	by	by	ADP
ijassa-428	64	39	unique	unique	ADJ
ijassa-428	64	40	transitivity	transitivity	NOUN
ijassa-428	64	41	.	.	PUNCT
ijassa-428	65	1	theorem	theorem	ADJ
ijassa-428	65	2	1	1	NUM
ijassa-428	65	3	(	(	PUNCT
ijassa-428	65	4	maximal	maximal	ADJ
ijassa-428	65	5	invariant	invariant	ADJ
ijassa-428	65	6	)	)	PUNCT
ijassa-428	65	7	.	.	PUNCT
ijassa-428	66	1	let	let	VERB
ijassa-428	66	2	g	g	PRON
ijassa-428	66	3	be	be	AUX
ijassa-428	66	4	transitive	transitive	ADJ
ijassa-428	66	5	on	on	ADP
ijassa-428	66	6	θ	θ	PROPN
ijassa-428	66	7	.	.	PUNCT
ijassa-428	67	1	fix	fix	VERB
ijassa-428	67	2	a	a	DET
ijassa-428	67	3	reference	reference	NOUN
ijassa-428	67	4	point	point	NOUN
ijassa-428	67	5	θ0	θ0	PROPN
ijassa-428	67	6	∈	∈	PROPN
ijassa-428	67	7	θ	θ	PROPN
ijassa-428	67	8	and	and	CCONJ
ijassa-428	67	9	index	index	NOUN
ijassa-428	67	10	g	g	NOUN
ijassa-428	67	11	by	by	ADP
ijassa-428	67	12	θ	θ	PROPN
ijassa-428	67	13	.	.	PUNCT
ijassa-428	68	1	a	a	DET
ijassa-428	68	2	maximal	maximal	ADJ
ijassa-428	68	3	invariant	invariant	ADJ
ijassa-428	68	4	m	m	NOUN
ijassa-428	68	5	with	with	ADP
ijassa-428	68	6	respect	respect	NOUN
ijassa-428	68	7	to	to	ADP
ijassa-428	68	8	g•	g•	ADJ
ijassa-428	68	9	acting	act	VERB
ijassa-428	68	10	on	on	ADP
ijassa-428	68	11	θ×	θ×	PROPN
ijassa-428	68	12	u	u	PROPN
ijassa-428	68	13	is	be	AUX
ijassa-428	68	14	defined	define	VERB
ijassa-428	68	15	by	by	ADP
ijassa-428	68	16	m(θ	m(θ	PROPN
ijassa-428	68	17	,	,	PUNCT
ijassa-428	68	18	u	u	NOUN
ijassa-428	68	19	)	)	PUNCT
ijassa-428	68	20	=	=	PUNCT
ijassa-428	69	1	g̃−1	g̃−1	PROPN
ijassa-428	69	2	θ	θ	SYM
ijassa-428	69	3	u	u	PROPN
ijassa-428	69	4	,	,	PUNCT
ijassa-428	69	5	(	(	PUNCT
ijassa-428	69	6	θ	θ	NOUN
ijassa-428	69	7	,	,	PUNCT
ijassa-428	69	8	u	u	NOUN
ijassa-428	69	9	)	)	PUNCT
ijassa-428	69	10	∈	∈	PROPN
ijassa-428	69	11	θ×	θ×	PROPN
ijassa-428	69	12	u	u	PROPN
ijassa-428	69	13	(	(	PUNCT
ijassa-428	69	14	3	3	NOUN
ijassa-428	69	15	)	)	PUNCT
ijassa-428	69	16	proof	proof	NOUN
ijassa-428	69	17	.	.	PUNCT
ijassa-428	70	1	for	for	ADP
ijassa-428	70	2	each	each	PRON
ijassa-428	70	3	(	(	PUNCT
ijassa-428	70	4	θ	θ	PROPN
ijassa-428	70	5	,	,	PUNCT
ijassa-428	70	6	u	u	NOUN
ijassa-428	70	7	)	)	PUNCT
ijassa-428	70	8	∈	∈	PROPN
ijassa-428	70	9	(	(	PUNCT
ijassa-428	70	10	θ×	θ×	PROPN
ijassa-428	70	11	u	u	PROPN
ijassa-428	70	12	)	)	PUNCT
ijassa-428	70	13	and	and	CCONJ
ijassa-428	70	14	g	g	PROPN
ijassa-428	70	15	∈	∈	PROPN
ijassa-428	70	16	g	g	PROPN
ijassa-428	70	17	m(gθ	m(gθ	PROPN
ijassa-428	70	18	,	,	PUNCT
ijassa-428	70	19	g̃u	g̃u	PROPN
ijassa-428	70	20	)	)	PUNCT
ijassa-428	70	21	=	=	PUNCT
ijassa-428	70	22	(	(	PUNCT
ijassa-428	70	23	g̃−1	g̃−1	PROPN
ijassa-428	70	24	gθ	gθ	PROPN
ijassa-428	70	25	)	)	PUNCT
ijassa-428	70	26	g̃u	g̃u	PROPN
ijassa-428	70	27	=	=	PUNCT
ijassa-428	70	28	(	(	PUNCT
ijassa-428	70	29	g̃g̃θ	g̃g̃θ	NOUN
ijassa-428	70	30	)	)	PUNCT
ijassa-428	70	31	−1g̃u	−1g̃u	PROPN
ijassa-428	70	32	=	=	SYM
ijassa-428	70	33	g̃−1	g̃−1	PROPN
ijassa-428	70	34	θ	θ	PROPN
ijassa-428	70	35	g̃−1g̃u	g̃−1g̃u	NOUN
ijassa-428	70	36	=	=	SYM
ijassa-428	70	37	g̃−1	g̃−1	PROPN
ijassa-428	70	38	θ	θ	X
ijassa-428	70	39	u	u	NOUN
ijassa-428	70	40	=	=	SYM
ijassa-428	70	41	m(θ	m(θ	PROPN
ijassa-428	70	42	,	,	PUNCT
ijassa-428	70	43	u	u	NOUN
ijassa-428	70	44	)	)	PUNCT
ijassa-428	70	45	(	(	PUNCT
ijassa-428	70	46	4	4	X
ijassa-428	70	47	)	)	PUNCT
ijassa-428	70	48	by	by	ADP
ijassa-428	70	49	lemma	lemma	PROPN
ijassa-428	70	50	1	1	NUM
ijassa-428	70	51	and	and	CCONJ
ijassa-428	70	52	the	the	DET
ijassa-428	70	53	structure	structure	NOUN
ijassa-428	70	54	preserving	preserve	VERB
ijassa-428	70	55	properties	property	NOUN
ijassa-428	70	56	of	of	ADP
ijassa-428	70	57	homomorphisms	homomorphism	NOUN
ijassa-428	70	58	.	.	PUNCT
ijassa-428	71	1	thus	thus	ADV
ijassa-428	71	2	m	m	PROPN
ijassa-428	71	3	is	be	AUX
ijassa-428	71	4	g•−	g•−	NOUN
ijassa-428	71	5	invariant	invariant	ADJ
ijassa-428	71	6	.	.	PUNCT
ijassa-428	72	1	to	to	PART
ijassa-428	72	2	see	see	VERB
ijassa-428	72	3	that	that	SCONJ
ijassa-428	72	4	m	m	NOUN
ijassa-428	72	5	is	be	AUX
ijassa-428	72	6	maximal	maximal	ADJ
ijassa-428	72	7	,	,	PUNCT
ijassa-428	72	8	let	let	VERB
ijassa-428	72	9	m(θ1,u1	m(θ1,u1	ADJ
ijassa-428	72	10	)	)	PUNCT
ijassa-428	72	11	=	=	SYM
ijassa-428	72	12	m(θ2,u2	m(θ2,u2	PROPN
ijassa-428	72	13	)	)	PUNCT
ijassa-428	72	14	.	.	PUNCT
ijassa-428	73	1	then	then	ADV
ijassa-428	73	2	g̃−1	g̃−1	PUNCT
ijassa-428	73	3	θ1	θ1	NOUN
ijassa-428	73	4	u1	u1	NOUN
ijassa-428	73	5	=	=	SYM
ijassa-428	73	6	g̃−1	g̃−1	PROPN
ijassa-428	73	7	θ2	θ2	ADP
ijassa-428	73	8	u2	u2	NOUN
ijassa-428	73	9	or	or	CCONJ
ijassa-428	73	10	u1	u1	NOUN
ijassa-428	73	11	=	=	SYM
ijassa-428	73	12	g̃u2	g̃u2	PROPN
ijassa-428	73	13	,	,	PUNCT
ijassa-428	73	14	where	where	SCONJ
ijassa-428	73	15	g̃	g̃	PROPN
ijassa-428	73	16	=	=	SYM
ijassa-428	73	17	g̃θ1	g̃θ1	PROPN
ijassa-428	73	18	g̃	g̃	PROPN
ijassa-428	73	19	−1	−1	NOUN
ijassa-428	73	20	θ2	θ2	PROPN
ijassa-428	73	21	.	.	PUNCT
ijassa-428	74	1	since	since	SCONJ
ijassa-428	74	2	θ1	θ1	NOUN
ijassa-428	74	3	=	=	SYM
ijassa-428	74	4	gθ1θ0	gθ1θ0	PROPN
ijassa-428	74	5	=	=	PUNCT
ijassa-428	74	6	ḡθ1	ḡθ1	NOUN
ijassa-428	74	7	ḡ	ḡ	VERB
ijassa-428	74	8	−1	−1	NOUN
ijassa-428	74	9	–	–	PUNCT
ijassa-428	74	10	θ2	θ2	PROPN
ijassa-428	74	11	θ2	θ2	NOUN
ijassa-428	74	12	=	=	PUNCT
ijassa-428	74	13	ḡθ2	ḡθ2	PROPN
ijassa-428	74	14	,	,	PUNCT
ijassa-428	74	15	(	(	PUNCT
ijassa-428	74	16	θ1,u1	θ1,u1	PROPN
ijassa-428	74	17	)	)	PUNCT
ijassa-428	74	18	=	=	SYM
ijassa-428	74	19	g•(θ2,u2	g•(θ2,u2	PROPN
ijassa-428	74	20	)	)	PUNCT
ijassa-428	74	21	for	for	ADP
ijassa-428	74	22	some	some	DET
ijassa-428	74	23	g•	g•	PROPN
ijassa-428	74	24	∈	∈	NOUN
ijassa-428	74	25	g•	g•	NOUN
ijassa-428	74	26	,	,	PUNCT
ijassa-428	74	27	and	and	CCONJ
ijassa-428	74	28	the	the	DET
ijassa-428	74	29	proof	proof	NOUN
ijassa-428	74	30	is	be	AUX
ijassa-428	74	31	complete	complete	ADJ
ijassa-428	74	32	.	.	PUNCT
ijassa-428	75	1	corollary	corollary	ADJ
ijassa-428	75	2	1.1	1.1	NUM
ijassa-428	75	3	(	(	PUNCT
ijassa-428	75	4	invariant	invariant	ADJ
ijassa-428	75	5	embedding	embedding	NOUN
ijassa-428	75	6	)	)	PUNCT
ijassa-428	75	7	.	.	PUNCT
ijassa-428	76	1	an	an	DET
ijassa-428	76	2	invariant	invariant	ADJ
ijassa-428	76	3	function	function	NOUN
ijassa-428	76	4	,	,	PUNCT
ijassa-428	76	5	r(θ	r(θ	NOUN
ijassa-428	76	6	,	,	PUNCT
ijassa-428	76	7	u	u	NOUN
ijassa-428	76	8	)	)	PUNCT
ijassa-428	76	9	,	,	PUNCT
ijassa-428	76	10	can	can	AUX
ijassa-428	76	11	be	be	AUX
ijassa-428	76	12	transformed	transform	VERB
ijassa-428	76	13	as	as	ADP
ijassa-428	76	14	follows	follow	VERB
ijassa-428	76	15	:	:	PUNCT
ijassa-428	76	16	r(θ	r(θ	NOUN
ijassa-428	76	17	,	,	PUNCT
ijassa-428	76	18	u	u	NOUN
ijassa-428	76	19	)	)	PUNCT
ijassa-428	76	20	=	=	SYM
ijassa-428	77	1	r(g	r(g	PROPN
ijassa-428	77	2	θ̂	θ̂	X
ijassa-428	77	3	−1θ	−1θ	PROPN
ijassa-428	77	4	,	,	PUNCT
ijassa-428	77	5	g	g	NOUN
ijassa-428	77	6	θ̂	θ̂	NUM
ijassa-428	77	7	−1u	−1u	NOUN
ijassa-428	77	8	)	)	PUNCT
ijassa-428	77	9	=	=	SYM
ijassa-428	77	10	r̈(v	r̈(v	PROPN
ijassa-428	77	11	,	,	PUNCT
ijassa-428	77	12	η	η	NOUN
ijassa-428	77	13	)	)	PUNCT
ijassa-428	77	14	(	(	PUNCT
ijassa-428	77	15	5	5	NUM
ijassa-428	77	16	)	)	PUNCT
ijassa-428	77	17	where	where	SCONJ
ijassa-428	77	18	v	v	NOUN
ijassa-428	77	19	=	=	SYM
ijassa-428	77	20	v(θ	v(θ	PROPN
ijassa-428	77	21	,	,	PUNCT
ijassa-428	77	22	θ̂	θ̂	NUM
ijassa-428	77	23	)	)	PUNCT
ijassa-428	77	24	is	be	AUX
ijassa-428	77	25	a	a	DET
ijassa-428	77	26	function	function	NOUN
ijassa-428	77	27	(	(	PUNCT
ijassa-428	77	28	it	it	PRON
ijassa-428	77	29	is	be	AUX
ijassa-428	77	30	called	call	VERB
ijassa-428	77	31	a	a	DET
ijassa-428	77	32	pivotal	pivotal	ADJ
ijassa-428	77	33	quantity	quantity	NOUN
ijassa-428	77	34	)	)	PUNCT
ijassa-428	77	35	such	such	ADJ
ijassa-428	77	36	that	that	SCONJ
ijassa-428	77	37	the	the	DET
ijassa-428	77	38	distribution	distribution	NOUN
ijassa-428	77	39	of	of	ADP
ijassa-428	77	40	v	v	NOUN
ijassa-428	77	41	does	do	AUX
ijassa-428	77	42	not	not	PART
ijassa-428	77	43	depend	depend	VERB
ijassa-428	77	44	on	on	ADP
ijassa-428	77	45	θ	θ	PROPN
ijassa-428	77	46	;	;	PUNCT
ijassa-428	77	47	η	η	X
ijassa-428	77	48	=	=	SYM
ijassa-428	77	49	η(u	η(u	NOUN
ijassa-428	77	50	,	,	PUNCT
ijassa-428	77	51	θ̂	θ̂	NUM
ijassa-428	77	52	)	)	PUNCT
ijassa-428	77	53	is	be	AUX
ijassa-428	77	54	an	an	DET
ijassa-428	77	55	ancillary	ancillary	ADJ
ijassa-428	77	56	factor	factor	NOUN
ijassa-428	77	57	;	;	PUNCT
ijassa-428	77	58	θ̂	θ̂	NUM
ijassa-428	77	59	is	be	AUX
ijassa-428	77	60	72	72	NUM
ijassa-428	77	61	konstantin	konstantin	PROPN
ijassa-428	77	62	n.	n.	PROPN
ijassa-428	77	63	nechval	nechval	PROPN
ijassa-428	77	64	:	:	PUNCT
ijassa-428	77	65	optimization	optimization	NOUN
ijassa-428	77	66	of	of	ADP
ijassa-428	77	67	statistical	statistical	ADJ
ijassa-428	77	68	decision	decision	NOUN
ijassa-428	77	69	for	for	ADP
ijassa-428	77	70	personnel	personnel	NOUN
ijassa-428	77	71	management	management	NOUN
ijassa-428	77	72	...	...	PUNCT
ijassa-428	78	1	the	the	DET
ijassa-428	78	2	maximum	maximum	ADJ
ijassa-428	78	3	likelihood	likelihood	NOUN
ijassa-428	78	4	estimator	estimator	NOUN
ijassa-428	78	5	of	of	ADP
ijassa-428	78	6	θ	θ	PROPN
ijassa-428	78	7	(	(	PUNCT
ijassa-428	78	8	or	or	CCONJ
ijassa-428	78	9	the	the	DET
ijassa-428	78	10	sufficient	sufficient	ADJ
ijassa-428	78	11	statistic	statistic	NOUN
ijassa-428	78	12	for	for	ADP
ijassa-428	78	13	θ	θ	PROPN
ijassa-428	78	14	)	)	PUNCT
ijassa-428	78	15	.	.	PUNCT
ijassa-428	79	1	corollary	corollary	ADJ
ijassa-428	79	2	1.2	1.2	NUM
ijassa-428	79	3	(	(	PUNCT
ijassa-428	79	4	best	good	ADJ
ijassa-428	79	5	invariant	invariant	ADJ
ijassa-428	79	6	decision	decision	NOUN
ijassa-428	79	7	rule	rule	NOUN
ijassa-428	79	8	)	)	PUNCT
ijassa-428	79	9	.	.	PUNCT
ijassa-428	80	1	if	if	SCONJ
ijassa-428	80	2	r(θ	r(θ	NOUN
ijassa-428	80	3	,	,	PUNCT
ijassa-428	80	4	u	u	NOUN
ijassa-428	80	5	)	)	PUNCT
ijassa-428	80	6	is	be	AUX
ijassa-428	80	7	an	an	DET
ijassa-428	80	8	invariant	invariant	ADJ
ijassa-428	80	9	loss	loss	NOUN
ijassa-428	80	10	function	function	NOUN
ijassa-428	80	11	,	,	PUNCT
ijassa-428	80	12	the	the	DET
ijassa-428	80	13	best	well	ADV
ijassa-428	80	14	invariant	invariant	ADJ
ijassa-428	80	15	decision	decision	NOUN
ijassa-428	80	16	rule	rule	NOUN
ijassa-428	80	17	is	be	AUX
ijassa-428	80	18	given	give	VERB
ijassa-428	80	19	by	by	ADP
ijassa-428	80	20	φ∗(x	φ∗(x	NOUN
ijassa-428	80	21	)	)	PUNCT
ijassa-428	80	22	=	=	PUNCT
ijassa-428	81	1	u∗	u∗	NOUN
ijassa-428	81	2	=	=	PUNCT
ijassa-428	81	3	η−1(η∗	η−1(η∗	PROPN
ijassa-428	81	4	,	,	PUNCT
ijassa-428	81	5	θ̂	θ̂	NUM
ijassa-428	81	6	)	)	PUNCT
ijassa-428	81	7	(	(	PUNCT
ijassa-428	81	8	6	6	NUM
ijassa-428	81	9	)	)	PUNCT
ijassa-428	81	10	where	where	SCONJ
ijassa-428	81	11	η∗	η∗	NOUN
ijassa-428	81	12	=	=	PUNCT
ijassa-428	81	13	arg	arg	PROPN
ijassa-428	81	14	inf	inf	PROPN
ijassa-428	81	15	η	η	PROPN
ijassa-428	81	16	eη	eη	PROPN
ijassa-428	81	17	{	{	PUNCT
ijassa-428	81	18	r̈(v	r̈(v	PROPN
ijassa-428	81	19	,	,	PUNCT
ijassa-428	81	20	η	η	NOUN
ijassa-428	81	21	)	)	PUNCT
ijassa-428	81	22	}	}	PUNCT
ijassa-428	81	23	.	.	PUNCT
ijassa-428	82	1	(	(	PUNCT
ijassa-428	82	2	7	7	X
ijassa-428	82	3	)	)	PUNCT
ijassa-428	82	4	corollary	corollary	ADJ
ijassa-428	82	5	1.3	1.3	NUM
ijassa-428	82	6	(	(	PUNCT
ijassa-428	82	7	risk	risk	NOUN
ijassa-428	82	8	)	)	PUNCT
ijassa-428	82	9	.	.	PUNCT
ijassa-428	83	1	a	a	DET
ijassa-428	83	2	risk	risk	NOUN
ijassa-428	83	3	function	function	NOUN
ijassa-428	83	4	(	(	PUNCT
ijassa-428	83	5	performance	performance	NOUN
ijassa-428	83	6	index	index	NOUN
ijassa-428	83	7	)	)	PUNCT
ijassa-428	83	8	r(θ	r(θ	NOUN
ijassa-428	83	9	,	,	PUNCT
ijassa-428	83	10	φ(x	φ(x	NOUN
ijassa-428	83	11	)	)	PUNCT
ijassa-428	83	12	)	)	PUNCT
ijassa-428	84	1	=	=	SYM
ijassa-428	84	2	eθ{r(θ	eθ{r(θ	NOUN
ijassa-428	84	3	,	,	PUNCT
ijassa-428	84	4	φ(x	φ(x	NOUN
ijassa-428	84	5	)	)	PUNCT
ijassa-428	84	6	)	)	PUNCT
ijassa-428	84	7	}	}	PUNCT
ijassa-428	84	8	=	=	SYM
ijassa-428	84	9	eη{r̈(v0,η0	eη{r̈(v0,η0	NUM
ijassa-428	84	10	)	)	PUNCT
ijassa-428	84	11	}	}	PUNCT
ijassa-428	84	12	(	(	PUNCT
ijassa-428	84	13	8)	8)	NUM
ijassa-428	84	14	is	be	AUX
ijassa-428	84	15	constant	constant	ADJ
ijassa-428	84	16	on	on	ADP
ijassa-428	84	17	orbits	orbit	NOUN
ijassa-428	84	18	when	when	SCONJ
ijassa-428	84	19	an	an	DET
ijassa-428	84	20	invariant	invariant	ADJ
ijassa-428	84	21	decision	decision	NOUN
ijassa-428	84	22	rule	rule	NOUN
ijassa-428	84	23	φ(x	φ(x	NOUN
ijassa-428	84	24	)	)	PUNCT
ijassa-428	84	25	is	be	AUX
ijassa-428	84	26	used	use	VERB
ijassa-428	84	27	,	,	PUNCT
ijassa-428	84	28	where	where	SCONJ
ijassa-428	84	29	v0	v0	NOUN
ijassa-428	84	30	=	=	PUNCT
ijassa-428	84	31	v0(θ	v0(θ	PROPN
ijassa-428	84	32	,	,	PUNCT
ijassa-428	84	33	x	x	X
ijassa-428	84	34	)	)	PUNCT
ijassa-428	84	35	is	be	AUX
ijassa-428	84	36	a	a	DET
ijassa-428	84	37	function	function	NOUN
ijassa-428	84	38	whose	whose	DET
ijassa-428	84	39	distribution	distribution	NOUN
ijassa-428	84	40	does	do	AUX
ijassa-428	84	41	not	not	PART
ijassa-428	84	42	depend	depend	VERB
ijassa-428	84	43	on	on	ADP
ijassa-428	84	44	θ	θ	PROPN
ijassa-428	84	45	;	;	PUNCT
ijassa-428	84	46	η0	η0	NOUN
ijassa-428	84	47	=	=	SYM
ijassa-428	84	48	η0(u	η0(u	PROPN
ijassa-428	84	49	,	,	PUNCT
ijassa-428	84	50	x	x	X
ijassa-428	84	51	)	)	PUNCT
ijassa-428	84	52	is	be	AUX
ijassa-428	84	53	an	an	DET
ijassa-428	84	54	ancillary	ancillary	ADJ
ijassa-428	84	55	factor	factor	NOUN
ijassa-428	84	56	.	.	PUNCT
ijassa-428	85	1	for	for	ADP
ijassa-428	85	2	instance	instance	NOUN
ijassa-428	85	3	,	,	PUNCT
ijassa-428	85	4	consider	consider	VERB
ijassa-428	85	5	the	the	DET
ijassa-428	85	6	problem	problem	NOUN
ijassa-428	85	7	of	of	ADP
ijassa-428	85	8	estimating	estimate	VERB
ijassa-428	85	9	the	the	DET
ijassa-428	85	10	locationscale	locationscale	ADJ
ijassa-428	85	11	parameter	parameter	NOUN
ijassa-428	85	12	of	of	ADP
ijassa-428	85	13	a	a	DET
ijassa-428	85	14	distribution	distribution	NOUN
ijassa-428	85	15	belonging	belong	VERB
ijassa-428	85	16	to	to	ADP
ijassa-428	85	17	a	a	DET
ijassa-428	85	18	family	family	NOUN
ijassa-428	85	19	generated	generate	VERB
ijassa-428	85	20	by	by	ADP
ijassa-428	85	21	a	a	DET
ijassa-428	85	22	continuous	continuous	ADJ
ijassa-428	85	23	cdf	cdf	PROPN
ijassa-428	85	24	f	f	NOUN
ijassa-428	85	25	:	:	PUNCT
ijassa-428	85	26	p	p	X
ijassa-428	85	27	=	=	X
ijassa-428	85	28	{	{	PUNCT
ijassa-428	85	29	pθ	pθ	NOUN
ijassa-428	85	30	:	:	PUNCT
ijassa-428	85	31	f	f	PROPN
ijassa-428	85	32	(	(	PUNCT
ijassa-428	85	33	(	(	PUNCT
ijassa-428	85	34	x−	x−	PROPN
ijassa-428	85	35	µ)/σ	µ)/σ	PROPN
ijassa-428	85	36	)	)	PUNCT
ijassa-428	85	37	,	,	PUNCT
ijassa-428	85	38	x	x	PUNCT
ijassa-428	85	39	∈	∈	PROPN
ijassa-428	85	40	r	r	NOUN
ijassa-428	85	41	,	,	PUNCT
ijassa-428	85	42	θ	θ	PROPN
ijassa-428	85	43	∈	∈	PROPN
ijassa-428	85	44	θ	θ	PROPN
ijassa-428	85	45	}	}	PUNCT
ijassa-428	85	46	,	,	PUNCT
ijassa-428	85	47	θ	θ	PROPN
ijassa-428	85	48	=	=	SYM
ijassa-428	85	49	{	{	PUNCT
ijassa-428	85	50	(	(	PUNCT
ijassa-428	85	51	µ	µ	X
ijassa-428	85	52	,	,	PUNCT
ijassa-428	85	53	σ	σ	PROPN
ijassa-428	85	54	)	)	PUNCT
ijassa-428	85	55	:	:	PUNCT
ijassa-428	85	56	µ	µ	NUM
ijassa-428	85	57	,	,	PUNCT
ijassa-428	85	58	σ	σ	PROPN
ijassa-428	85	59	∈	∈	PROPN
ijassa-428	85	60	r	r	PROPN
ijassa-428	85	61	,	,	PUNCT
ijassa-428	85	62	σ	σ	X
ijassa-428	85	63	>	>	X
ijassa-428	85	64	0	0	NUM
ijassa-428	85	65	}	}	PUNCT
ijassa-428	85	66	=	=	SYM
ijassa-428	85	67	u	u	NOUN
ijassa-428	85	68	.	.	PUNCT
ijassa-428	86	1	the	the	DET
ijassa-428	86	2	group	group	NOUN
ijassa-428	86	3	g	g	PROPN
ijassa-428	86	4	of	of	ADP
ijassa-428	86	5	location	location	NOUN
ijassa-428	86	6	and	and	CCONJ
ijassa-428	86	7	scale	scale	NOUN
ijassa-428	86	8	changes	change	NOUN
ijassa-428	86	9	leaves	leave	VERB
ijassa-428	86	10	the	the	DET
ijassa-428	86	11	class	class	NOUN
ijassa-428	86	12	of	of	ADP
ijassa-428	86	13	models	model	NOUN
ijassa-428	86	14	invariant	invariant	VERB
ijassa-428	86	15	.	.	PUNCT
ijassa-428	87	1	since	since	SCONJ
ijassa-428	87	2	g	g	PROPN
ijassa-428	87	3	induced	induce	VERB
ijassa-428	87	4	on	on	ADP
ijassa-428	87	5	θ	θ	PROPN
ijassa-428	87	6	by	by	ADP
ijassa-428	87	7	pθ	pθ	PROPN
ijassa-428	87	8	→	→	SYM
ijassa-428	87	9	θ	θ	PROPN
ijassa-428	87	10	is	be	AUX
ijassa-428	87	11	uniquely	uniquely	ADV
ijassa-428	87	12	transitive	transitive	ADJ
ijassa-428	87	13	,	,	PUNCT
ijassa-428	87	14	we	we	PRON
ijassa-428	87	15	may	may	AUX
ijassa-428	87	16	apply	apply	VERB
ijassa-428	87	17	theorem	theorem	NOUN
ijassa-428	87	18	1	1	NUM
ijassa-428	87	19	and	and	CCONJ
ijassa-428	87	20	obtain	obtain	VERB
ijassa-428	87	21	invariant	invariant	ADJ
ijassa-428	87	22	loss	loss	NOUN
ijassa-428	87	23	functions	function	NOUN
ijassa-428	87	24	of	of	ADP
ijassa-428	87	25	the	the	DET
ijassa-428	87	26	form	form	NOUN
ijassa-428	87	27	r(θ	r(θ	NOUN
ijassa-428	87	28	,	,	PUNCT
ijassa-428	87	29	φ(x	φ(x	NOUN
ijassa-428	87	30	)	)	PUNCT
ijassa-428	87	31	)	)	PUNCT
ijassa-428	88	1	=	=	SYM
ijassa-428	88	2	r[(φ1(x)−	r[(φ1(x)−	PROPN
ijassa-428	88	3	µ)/σ	µ)/σ	PROPN
ijassa-428	88	4	,	,	PUNCT
ijassa-428	88	5	φ2(x)/σ	φ2(x)/σ	ADV
ijassa-428	88	6	]	]	PUNCT
ijassa-428	88	7	(	(	PUNCT
ijassa-428	88	8	9	9	NUM
ijassa-428	88	9	)	)	PUNCT
ijassa-428	88	10	where	where	SCONJ
ijassa-428	88	11	θ	θ	NOUN
ijassa-428	88	12	=	=	SYM
ijassa-428	88	13	(	(	PUNCT
ijassa-428	88	14	µ	µ	X
ijassa-428	88	15	,	,	PUNCT
ijassa-428	88	16	σ	σ	NOUN
ijassa-428	88	17	)	)	PUNCT
ijassa-428	88	18	and	and	CCONJ
ijassa-428	88	19	φ(x	φ(x	NOUN
ijassa-428	88	20	)	)	PUNCT
ijassa-428	88	21	=	=	PUNCT
ijassa-428	88	22	(	(	PUNCT
ijassa-428	88	23	φ1(x	φ1(x	NOUN
ijassa-428	88	24	)	)	PUNCT
ijassa-428	88	25	,	,	PUNCT
ijassa-428	88	26	φ2(x	φ2(x	NOUN
ijassa-428	88	27	)	)	PUNCT
ijassa-428	88	28	)	)	PUNCT
ijassa-428	88	29	(	(	PUNCT
ijassa-428	88	30	10	10	X
ijassa-428	88	31	)	)	PUNCT
ijassa-428	88	32	let	let	VERB
ijassa-428	88	33	θ̂	θ̂	X
ijassa-428	88	34	=	=	SYM
ijassa-428	88	35	(	(	PUNCT
ijassa-428	88	36	µ̂	µ̂	X
ijassa-428	88	37	,	,	PUNCT
ijassa-428	88	38	σ̂	σ̂	NUM
ijassa-428	88	39	)	)	PUNCT
ijassa-428	88	40	and	and	CCONJ
ijassa-428	88	41	u	u	X
ijassa-428	88	42	=	=	PUNCT
ijassa-428	88	43	(	(	PUNCT
ijassa-428	88	44	u1	u1	PROPN
ijassa-428	88	45	,	,	PUNCT
ijassa-428	88	46	u2	u2	PROPN
ijassa-428	88	47	)	)	PUNCT
ijassa-428	88	48	,	,	PUNCT
ijassa-428	88	49	then	then	ADV
ijassa-428	88	50	r(θ	r(θ	NOUN
ijassa-428	88	51	,	,	PUNCT
ijassa-428	88	52	u	u	NOUN
ijassa-428	88	53	)	)	PUNCT
ijassa-428	88	54	=	=	SYM
ijassa-428	88	55	r̈(v	r̈(v	PROPN
ijassa-428	88	56	,	,	PUNCT
ijassa-428	88	57	η	η	NOUN
ijassa-428	88	58	)	)	PUNCT
ijassa-428	88	59	=	=	PUNCT
ijassa-428	89	1	r̈(ν1	r̈(ν1	NOUN
ijassa-428	89	2	+	+	NUM
ijassa-428	89	3	η1ν2	η1ν2	NOUN
ijassa-428	89	4	,	,	PUNCT
ijassa-428	89	5	η2ν2	η2ν2	NOUN
ijassa-428	89	6	)	)	PUNCT
ijassa-428	89	7	(	(	PUNCT
ijassa-428	89	8	11	11	NUM
ijassa-428	89	9	)	)	PUNCT
ijassa-428	89	10	where	where	SCONJ
ijassa-428	89	11	ν	ν	NOUN
ijassa-428	89	12	=	=	SYM
ijassa-428	89	13	(	(	PUNCT
ijassa-428	89	14	ν1	ν1	NOUN
ijassa-428	89	15	,	,	PUNCT
ijassa-428	89	16	ν2	ν2	NOUN
ijassa-428	89	17	)	)	PUNCT
ijassa-428	89	18	,	,	PUNCT
ijassa-428	89	19	ν1	ν1	NOUN
ijassa-428	89	20	=	=	SYM
ijassa-428	89	21	(	(	PUNCT
ijassa-428	89	22	µ̂−	µ̂−	PROPN
ijassa-428	89	23	µ)/σ	µ)/σ	PROPN
ijassa-428	89	24	,	,	PUNCT
ijassa-428	89	25	ν2	ν2	NOUN
ijassa-428	89	26	=	=	SYM
ijassa-428	89	27	σ̂/σ	σ̂/σ	PROPN
ijassa-428	89	28	(	(	PUNCT
ijassa-428	89	29	12	12	NUM
ijassa-428	89	30	)	)	PUNCT
ijassa-428	89	31	η	η	NOUN
ijassa-428	89	32	=	=	SYM
ijassa-428	89	33	(	(	PUNCT
ijassa-428	89	34	η1	η1	NOUN
ijassa-428	89	35	,	,	PUNCT
ijassa-428	89	36	η2	η2	NOUN
ijassa-428	89	37	)	)	PUNCT
ijassa-428	89	38	,	,	PUNCT
ijassa-428	89	39	η1	η1	NOUN
ijassa-428	89	40	=	=	SYM
ijassa-428	89	41	(	(	PUNCT
ijassa-428	89	42	u1	u1	PROPN
ijassa-428	89	43	−	−	PROPN
ijassa-428	89	44	µ̂)/σ̂	µ̂)/σ̂	NUM
ijassa-428	89	45	,	,	PUNCT
ijassa-428	89	46	η2	η2	PROPN
ijassa-428	89	47	=	=	SYM
ijassa-428	89	48	u2	u2	PROPN
ijassa-428	89	49	/	/	SYM
ijassa-428	89	50	σ̂	σ̂	X
ijassa-428	89	51	(	(	PUNCT
ijassa-428	89	52	13	13	NUM
ijassa-428	89	53	)	)	SYM
ijassa-428	89	54	3	3	NUM
ijassa-428	89	55	application	application	NOUN
ijassa-428	89	56	to	to	ADP
ijassa-428	89	57	personnel	personnel	NOUN
ijassa-428	89	58	management	management	NOUN
ijassa-428	89	59	problem	problem	NOUN
ijassa-428	89	60	in	in	ADP
ijassa-428	89	61	tourism	tourism	NOUN
ijassa-428	89	62	personnel	personnel	NOUN
ijassa-428	89	63	management	management	NOUN
ijassa-428	89	64	forms	form	VERB
ijassa-428	89	65	a	a	DET
ijassa-428	89	66	significant	significant	ADJ
ijassa-428	89	67	proportion	proportion	NOUN
ijassa-428	89	68	of	of	ADP
ijassa-428	89	69	overall	overall	ADJ
ijassa-428	89	70	costs	cost	NOUN
ijassa-428	89	71	in	in	ADP
ijassa-428	89	72	hotels	hotel	NOUN
ijassa-428	89	73	,	,	PUNCT
ijassa-428	89	74	tourism	tourism	NOUN
ijassa-428	89	75	companies	company	NOUN
ijassa-428	89	76	and	and	CCONJ
ijassa-428	89	77	fast	fast	ADJ
ijassa-428	89	78	food	food	NOUN
ijassa-428	89	79	restaurants	restaurant	NOUN
ijassa-428	89	80	.	.	PUNCT
ijassa-428	90	1	a	a	DET
ijassa-428	90	2	reduction	reduction	NOUN
ijassa-428	90	3	in	in	ADP
ijassa-428	90	4	this	this	PRON
ijassa-428	90	5	by	by	ADP
ijassa-428	90	6	even	even	ADV
ijassa-428	90	7	1	1	NUM
ijassa-428	90	8	%	%	NOUN
ijassa-428	90	9	represents	represent	VERB
ijassa-428	90	10	considerable	considerable	ADJ
ijassa-428	90	11	cost	cost	NOUN
ijassa-428	90	12	savings	saving	NOUN
ijassa-428	90	13	.	.	PUNCT
ijassa-428	91	1	demand	demand	NOUN
ijassa-428	91	2	for	for	ADP
ijassa-428	91	3	services	service	NOUN
ijassa-428	91	4	is	be	AUX
ijassa-428	91	5	not	not	PART
ijassa-428	91	6	generally	generally	ADV
ijassa-428	91	7	known	know	VERB
ijassa-428	91	8	with	with	ADP
ijassa-428	91	9	certainty	certainty	NOUN
ijassa-428	91	10	before	before	ADP
ijassa-428	91	11	hand	hand	NOUN
ijassa-428	91	12	and	and	CCONJ
ijassa-428	91	13	management	management	NOUN
ijassa-428	91	14	often	often	ADV
ijassa-428	91	15	relies	rely	VERB
ijassa-428	91	16	on	on	ADP
ijassa-428	91	17	a	a	DET
ijassa-428	91	18	combination	combination	NOUN
ijassa-428	91	19	of	of	ADP
ijassa-428	91	20	intuition	intuition	NOUN
ijassa-428	91	21	,	,	PUNCT
ijassa-428	91	22	software	software	NOUN
ijassa-428	91	23	systems	system	NOUN
ijassa-428	91	24	and	and	CCONJ
ijassa-428	91	25	local	local	ADJ
ijassa-428	91	26	knowledge	knowledge	NOUN
ijassa-428	91	27	(	(	PUNCT
ijassa-428	91	28	particularly	particularly	ADV
ijassa-428	91	29	of	of	ADP
ijassa-428	91	30	marketing	marketing	NOUN
ijassa-428	91	31	campaigns	campaign	NOUN
ijassa-428	91	32	,	,	PUNCT
ijassa-428	91	33	events	event	NOUN
ijassa-428	91	34	and	and	CCONJ
ijassa-428	91	35	attractions	attraction	NOUN
ijassa-428	91	36	)	)	PUNCT
ijassa-428	91	37	.	.	PUNCT
ijassa-428	92	1	staff	staff	NOUN
ijassa-428	92	2	scheduling	scheduling	NOUN
ijassa-428	92	3	is	be	AUX
ijassa-428	92	4	a	a	DET
ijassa-428	92	5	key	key	ADJ
ijassa-428	92	6	element	element	NOUN
ijassa-428	92	7	of	of	ADP
ijassa-428	92	8	management	management	NOUN
ijassa-428	92	9	planning	planning	NOUN
ijassa-428	92	10	in	in	ADP
ijassa-428	92	11	such	such	ADJ
ijassa-428	92	12	circumstances	circumstance	NOUN
ijassa-428	92	13	.	.	PUNCT
ijassa-428	93	1	there	there	PRON
ijassa-428	93	2	have	have	AUX
ijassa-428	93	3	been	be	AUX
ijassa-428	93	4	a	a	DET
ijassa-428	93	5	number	number	NOUN
ijassa-428	93	6	of	of	ADP
ijassa-428	93	7	general	general	ADJ
ijassa-428	93	8	survey	survey	NOUN
ijassa-428	93	9	advances	advance	NOUN
ijassa-428	93	10	in	in	ADP
ijassa-428	93	11	systems	system	NOUN
ijassa-428	93	12	science	science	NOUN
ijassa-428	93	13	and	and	CCONJ
ijassa-428	93	14	applications	application	NOUN
ijassa-428	93	15	(	(	PUNCT
ijassa-428	93	16	2013	2013	NUM
ijassa-428	93	17	)	)	PUNCT
ijassa-428	93	18	vol.13	vol.13	NOUN
ijassa-428	93	19	no.1	no.1	VERB
ijassa-428	93	20	73	73	NUM
ijassa-428	93	21	papers	paper	NOUN
ijassa-428	93	22	in	in	ADP
ijassa-428	93	23	the	the	DET
ijassa-428	93	24	area	area	NOUN
ijassa-428	93	25	of	of	ADP
ijassa-428	93	26	personnel	personnel	NOUN
ijassa-428	93	27	management	management	NOUN
ijassa-428	93	28	;	;	PUNCT
ijassa-428	93	29	these	these	PRON
ijassa-428	93	30	include	include	VERB
ijassa-428	93	31	[	[	X
ijassa-428	93	32	14	14	NUM
ijassa-428	93	33	]	]	PUNCT
ijassa-428	93	34	and	and	CCONJ
ijassa-428	93	35	[	[	X
ijassa-428	93	36	15	15	NUM
ijassa-428	93	37	]	]	PUNCT
ijassa-428	93	38	.	.	PUNCT
ijassa-428	94	1	the	the	DET
ijassa-428	94	2	latter	latter	ADJ
ijassa-428	94	3	survey	survey	NOUN
ijassa-428	94	4	concentrates	concentrate	VERB
ijassa-428	94	5	on	on	ADP
ijassa-428	94	6	general	general	ADJ
ijassa-428	94	7	labour	labour	ADJ
ijassa-428	94	8	scheduling	scheduling	NOUN
ijassa-428	94	9	models	model	NOUN
ijassa-428	94	10	.	.	PUNCT
ijassa-428	95	1	a	a	DET
ijassa-428	95	2	survey	survey	NOUN
ijassa-428	95	3	of	of	ADP
ijassa-428	95	4	crew	crew	NOUN
ijassa-428	95	5	scheduling	scheduling	NOUN
ijassa-428	95	6	is	be	AUX
ijassa-428	95	7	given	give	VERB
ijassa-428	95	8	in	in	ADP
ijassa-428	95	9	[	[	X
ijassa-428	95	10	16	16	NUM
ijassa-428	95	11	]	]	PUNCT
ijassa-428	95	12	.	.	PUNCT
ijassa-428	96	1	surveys	survey	NOUN
ijassa-428	96	2	of	of	ADP
ijassa-428	96	3	the	the	DET
ijassa-428	96	4	literature	literature	NOUN
ijassa-428	96	5	in	in	ADP
ijassa-428	96	6	airline	airline	NOUN
ijassa-428	96	7	crew	crew	NOUN
ijassa-428	96	8	scheduling	scheduling	NOUN
ijassa-428	96	9	appear	appear	VERB
ijassa-428	96	10	in	in	ADP
ijassa-428	96	11	[	[	PUNCT
ijassa-428	96	12	17	17	NUM
ijassa-428	96	13	-	-	SYM
ijassa-428	96	14	18	18	NUM
ijassa-428	96	15	]	]	PUNCT
ijassa-428	96	16	.	.	PUNCT
ijassa-428	97	1	a	a	DET
ijassa-428	97	2	good	good	ADJ
ijassa-428	97	3	survey	survey	NOUN
ijassa-428	97	4	of	of	ADP
ijassa-428	97	5	tools	tool	NOUN
ijassa-428	97	6	,	,	PUNCT
ijassa-428	97	7	models	model	NOUN
ijassa-428	97	8	and	and	CCONJ
ijassa-428	97	9	methods	method	NOUN
ijassa-428	97	10	for	for	ADP
ijassa-428	97	11	bus	bus	NOUN
ijassa-428	97	12	crew	crew	NOUN
ijassa-428	97	13	scheduling	scheduling	NOUN
ijassa-428	97	14	is	be	AUX
ijassa-428	97	15	[	[	X
ijassa-428	97	16	19	19	NUM
ijassa-428	97	17	]	]	PUNCT
ijassa-428	97	18	.	.	PUNCT
ijassa-428	98	1	a	a	DET
ijassa-428	98	2	survey	survey	NOUN
ijassa-428	98	3	of	of	ADP
ijassa-428	98	4	the	the	DET
ijassa-428	98	5	nurse	nurse	NOUN
ijassa-428	98	6	scheduling	scheduling	NOUN
ijassa-428	98	7	literature	literature	NOUN
ijassa-428	98	8	is	be	AUX
ijassa-428	98	9	provided	provide	VERB
ijassa-428	98	10	in	in	ADP
ijassa-428	98	11	[	[	X
ijassa-428	98	12	2021	2021	NUM
ijassa-428	98	13	]	]	PUNCT
ijassa-428	98	14	.	.	PUNCT
ijassa-428	99	1	as	as	SCONJ
ijassa-428	99	2	can	can	AUX
ijassa-428	99	3	be	be	AUX
ijassa-428	99	4	seen	see	VERB
ijassa-428	99	5	from	from	ADP
ijassa-428	99	6	this	this	DET
ijassa-428	99	7	review	review	NOUN
ijassa-428	99	8	,	,	PUNCT
ijassa-428	99	9	a	a	DET
ijassa-428	99	10	large	large	ADJ
ijassa-428	99	11	amount	amount	NOUN
ijassa-428	99	12	of	of	ADP
ijassa-428	99	13	work	work	NOUN
ijassa-428	99	14	has	have	AUX
ijassa-428	99	15	already	already	ADV
ijassa-428	99	16	been	be	AUX
ijassa-428	99	17	done	do	VERB
ijassa-428	99	18	in	in	ADP
ijassa-428	99	19	the	the	DET
ijassa-428	99	20	area	area	NOUN
ijassa-428	99	21	of	of	ADP
ijassa-428	99	22	personnel	personnel	NOUN
ijassa-428	99	23	scheduling	scheduling	NOUN
ijassa-428	99	24	.	.	PUNCT
ijassa-428	100	1	nevertheless	nevertheless	ADV
ijassa-428	100	2	there	there	PRON
ijassa-428	100	3	is	be	VERB
ijassa-428	100	4	still	still	ADV
ijassa-428	100	5	significant	significant	ADJ
ijassa-428	100	6	room	room	NOUN
ijassa-428	100	7	for	for	ADP
ijassa-428	100	8	improvements	improvement	NOUN
ijassa-428	100	9	in	in	ADP
ijassa-428	100	10	this	this	DET
ijassa-428	100	11	area	area	NOUN
ijassa-428	100	12	.	.	PUNCT
ijassa-428	101	1	we	we	PRON
ijassa-428	101	2	see	see	VERB
ijassa-428	101	3	improvements	improvement	NOUN
ijassa-428	101	4	occurring	occur	VERB
ijassa-428	101	5	not	not	PART
ijassa-428	101	6	only	only	ADV
ijassa-428	101	7	in	in	ADP
ijassa-428	101	8	the	the	DET
ijassa-428	101	9	area	area	NOUN
ijassa-428	101	10	of	of	ADP
ijassa-428	101	11	tools	tool	NOUN
ijassa-428	101	12	,	,	PUNCT
ijassa-428	101	13	models	model	NOUN
ijassa-428	101	14	and	and	CCONJ
ijassa-428	101	15	methods	method	NOUN
ijassa-428	101	16	for	for	ADP
ijassa-428	101	17	personnel	personnel	NOUN
ijassa-428	101	18	management	management	NOUN
ijassa-428	101	19	,	,	PUNCT
ijassa-428	101	20	but	but	CCONJ
ijassa-428	101	21	also	also	ADV
ijassa-428	101	22	in	in	ADP
ijassa-428	101	23	the	the	DET
ijassa-428	101	24	wider	wide	ADJ
ijassa-428	101	25	applicability	applicability	NOUN
ijassa-428	101	26	of	of	ADP
ijassa-428	101	27	these	these	DET
ijassa-428	101	28	tools	tool	NOUN
ijassa-428	101	29	,	,	PUNCT
ijassa-428	101	30	models	model	NOUN
ijassa-428	101	31	and	and	CCONJ
ijassa-428	101	32	methods	method	NOUN
ijassa-428	101	33	.	.	PUNCT
ijassa-428	102	1	in	in	ADP
ijassa-428	102	2	this	this	DET
ijassa-428	102	3	paper	paper	NOUN
ijassa-428	102	4	,	,	PUNCT
ijassa-428	102	5	we	we	PRON
ijassa-428	102	6	consider	consider	VERB
ijassa-428	102	7	the	the	DET
ijassa-428	102	8	following	follow	VERB
ijassa-428	102	9	personnel	personnel	NOUN
ijassa-428	102	10	management	management	NOUN
ijassa-428	102	11	problem	problem	NOUN
ijassa-428	102	12	in	in	ADP
ijassa-428	102	13	tourism	tourism	NOUN
ijassa-428	102	14	.	.	PUNCT
ijassa-428	103	1	a	a	DET
ijassa-428	103	2	certain	certain	ADJ
ijassa-428	103	3	company	company	NOUN
ijassa-428	103	4	provides	provide	VERB
ijassa-428	103	5	interpreter	interpreter	NOUN
ijassa-428	103	6	-	-	PUNCT
ijassa-428	103	7	guides	guide	NOUN
ijassa-428	103	8	for	for	ADP
ijassa-428	103	9	tourists	tourist	NOUN
ijassa-428	103	10	.	.	PUNCT
ijassa-428	104	1	the	the	DET
ijassa-428	104	2	number	number	NOUN
ijassa-428	104	3	of	of	ADP
ijassa-428	104	4	permanent	permanent	ADJ
ijassa-428	104	5	interpreterguides	interpreterguide	NOUN
ijassa-428	104	6	employed	employ	VERB
ijassa-428	104	7	by	by	ADP
ijassa-428	104	8	the	the	DET
ijassa-428	104	9	company	company	NOUN
ijassa-428	104	10	is	be	AUX
ijassa-428	104	11	such	such	ADJ
ijassa-428	104	12	that	that	SCONJ
ijassa-428	104	13	u	u	PROPN
ijassa-428	104	14	of	of	ADP
ijassa-428	104	15	them	they	PRON
ijassa-428	104	16	are	be	AUX
ijassa-428	104	17	permanently	permanently	ADV
ijassa-428	104	18	working	work	VERB
ijassa-428	104	19	on	on	ADP
ijassa-428	104	20	a	a	DET
ijassa-428	104	21	monthly	monthly	ADJ
ijassa-428	104	22	basis	basis	NOUN
ijassa-428	104	23	at	at	ADP
ijassa-428	104	24	a	a	DET
ijassa-428	104	25	daily	daily	ADJ
ijassa-428	104	26	guaranteed	guarantee	VERB
ijassa-428	104	27	salary	salary	NOUN
ijassa-428	104	28	c1	c1	NOUN
ijassa-428	104	29	(	(	PUNCT
ijassa-428	104	30	in	in	ADP
ijassa-428	104	31	terms	term	NOUN
ijassa-428	104	32	of	of	ADP
ijassa-428	104	33	money	money	NOUN
ijassa-428	104	34	)	)	PUNCT
ijassa-428	104	35	;	;	PUNCT
ijassa-428	104	36	when	when	SCONJ
ijassa-428	104	37	the	the	DET
ijassa-428	104	38	demand	demand	NOUN
ijassa-428	104	39	for	for	ADP
ijassa-428	104	40	their	their	PRON
ijassa-428	104	41	services	service	NOUN
ijassa-428	104	42	exceeds	exceed	VERB
ijassa-428	104	43	u	u	PROPN
ijassa-428	104	44	,	,	PUNCT
ijassa-428	104	45	supplementary	supplementary	ADJ
ijassa-428	104	46	interpreter	interpreter	NOUN
ijassa-428	104	47	-	-	PUNCT
ijassa-428	104	48	guides	guide	NOUN
ijassa-428	104	49	or	or	CCONJ
ijassa-428	104	50	extras	extra	NOUN
ijassa-428	104	51	are	be	AUX
ijassa-428	104	52	taken	take	VERB
ijassa-428	104	53	on	on	ADP
ijassa-428	104	54	at	at	ADP
ijassa-428	104	55	a	a	DET
ijassa-428	104	56	daily	daily	ADJ
ijassa-428	104	57	salary	salary	NOUN
ijassa-428	104	58	c2	c2	PROPN
ijassa-428	104	59	(	(	PUNCT
ijassa-428	104	60	>	>	X
ijassa-428	104	61	c1	c1	PROPN
ijassa-428	104	62	)	)	PUNCT
ijassa-428	104	63	.	.	PUNCT
ijassa-428	105	1	sometimes	sometimes	ADV
ijassa-428	105	2	the	the	DET
ijassa-428	105	3	shortage	shortage	NOUN
ijassa-428	105	4	of	of	ADP
ijassa-428	105	5	extras	extras	NOUN
ijassa-428	105	6	will	will	AUX
ijassa-428	105	7	necessitate	necessitate	ADJ
ijassa-428	105	8	canceling	cancel	VERB
ijassa-428	105	9	a	a	DET
ijassa-428	105	10	tour	tour	NOUN
ijassa-428	105	11	,	,	PUNCT
ijassa-428	105	12	and	and	CCONJ
ijassa-428	105	13	when	when	SCONJ
ijassa-428	105	14	this	this	PRON
ijassa-428	105	15	happens	happen	VERB
ijassa-428	105	16	,	,	PUNCT
ijassa-428	105	17	the	the	DET
ijassa-428	105	18	loss	loss	NOUN
ijassa-428	105	19	is	be	AUX
ijassa-428	105	20	reckoned	reckon	VERB
ijassa-428	105	21	at	at	ADP
ijassa-428	105	22	c3	c3	PROPN
ijassa-428	105	23	(	(	PUNCT
ijassa-428	105	24	>	>	X
ijassa-428	105	25	c2	c2	PROPN
ijassa-428	105	26	)	)	PUNCT
ijassa-428	105	27	.	.	PUNCT
ijassa-428	106	1	how	how	SCONJ
ijassa-428	106	2	many	many	ADJ
ijassa-428	106	3	permanent	permanent	ADJ
ijassa-428	106	4	interpreter	interpreter	NOUN
ijassa-428	106	5	-	-	PUNCT
ijassa-428	106	6	guides	guide	NOUN
ijassa-428	106	7	should	should	AUX
ijassa-428	106	8	the	the	DET
ijassa-428	106	9	company	company	NOUN
ijassa-428	106	10	employ	employ	VERB
ijassa-428	106	11	so	so	SCONJ
ijassa-428	106	12	that	that	SCONJ
ijassa-428	106	13	overall	overall	ADJ
ijassa-428	106	14	costs	cost	NOUN
ijassa-428	106	15	will	will	AUX
ijassa-428	106	16	be	be	AUX
ijassa-428	106	17	minimal	minimal	ADJ
ijassa-428	106	18	?	?	PUNCT
ijassa-428	106	19	following	follow	VERB
ijassa-428	106	20	kaufmann	kaufmann	PROPN
ijassa-428	106	21	and	and	CCONJ
ijassa-428	106	22	faure	faure	PROPN
ijassa-428	107	1	[	[	X
ijassa-428	107	2	22	22	NUM
ijassa-428	107	3	]	]	PUNCT
ijassa-428	107	4	,	,	PUNCT
ijassa-428	107	5	we	we	PRON
ijassa-428	107	6	review	review	VERB
ijassa-428	107	7	the	the	DET
ijassa-428	107	8	personnel	personnel	NOUN
ijassa-428	107	9	management	management	NOUN
ijassa-428	107	10	model	model	NOUN
ijassa-428	107	11	and	and	CCONJ
ijassa-428	107	12	provide	provide	VERB
ijassa-428	107	13	a	a	DET
ijassa-428	107	14	broader	broad	ADJ
ijassa-428	107	15	interpretation	interpretation	NOUN
ijassa-428	107	16	to	to	ADP
ijassa-428	107	17	the	the	DET
ijassa-428	107	18	structure	structure	NOUN
ijassa-428	107	19	of	of	ADP
ijassa-428	107	20	its	its	PRON
ijassa-428	107	21	solution	solution	NOUN
ijassa-428	107	22	.	.	PUNCT
ijassa-428	108	1	in	in	ADP
ijassa-428	108	2	development	development	NOUN
ijassa-428	108	3	of	of	ADP
ijassa-428	108	4	the	the	DET
ijassa-428	108	5	personnel	personnel	NOUN
ijassa-428	108	6	management	management	NOUN
ijassa-428	108	7	model	model	NOUN
ijassa-428	108	8	,	,	PUNCT
ijassa-428	108	9	we	we	PRON
ijassa-428	108	10	will	will	AUX
ijassa-428	108	11	assume	assume	VERB
ijassa-428	108	12	that	that	SCONJ
ijassa-428	108	13	the	the	DET
ijassa-428	108	14	daily	daily	ADJ
ijassa-428	108	15	demand	demand	NOUN
ijassa-428	108	16	for	for	ADP
ijassa-428	108	17	tours	tour	NOUN
ijassa-428	108	18	x	x	X
ijassa-428	108	19	is	be	AUX
ijassa-428	108	20	a	a	DET
ijassa-428	108	21	continuous	continuous	ADJ
ijassa-428	108	22	nonnegative	nonnegative	ADJ
ijassa-428	108	23	random	random	ADJ
ijassa-428	108	24	variable	variable	NOUN
ijassa-428	108	25	with	with	ADP
ijassa-428	108	26	the	the	DET
ijassa-428	108	27	probability	probability	NOUN
ijassa-428	108	28	density	density	NOUN
ijassa-428	108	29	function	function	NOUN
ijassa-428	108	30	fθ(x	fθ(x	PUNCT
ijassa-428	108	31	)	)	PUNCT
ijassa-428	108	32	and	and	CCONJ
ijassa-428	108	33	cumulative	cumulative	ADJ
ijassa-428	108	34	distribution	distribution	NOUN
ijassa-428	108	35	function	function	NOUN
ijassa-428	108	36	fθ(x	fθ(x	PUNCT
ijassa-428	108	37	)	)	PUNCT
ijassa-428	108	38	.	.	PUNCT
ijassa-428	109	1	the	the	DET
ijassa-428	109	2	notation	notation	NOUN
ijassa-428	109	3	,	,	PUNCT
ijassa-428	109	4	we	we	PRON
ijassa-428	109	5	use	use	VERB
ijassa-428	109	6	for	for	ADP
ijassa-428	109	7	the	the	DET
ijassa-428	109	8	personnel	personnel	NOUN
ijassa-428	109	9	management	management	NOUN
ijassa-428	109	10	model	model	NOUN
ijassa-428	109	11	,	,	PUNCT
ijassa-428	109	12	is	be	AUX
ijassa-428	109	13	given	give	VERB
ijassa-428	109	14	below	below	ADV
ijassa-428	109	15	.	.	PUNCT
ijassa-428	110	1	x	x	PUNCT
ijassa-428	110	2	random	random	ADJ
ijassa-428	110	3	variable	variable	NOUN
ijassa-428	110	4	representing	represent	VERB
ijassa-428	110	5	the	the	DET
ijassa-428	110	6	daily	daily	ADJ
ijassa-428	110	7	demand	demand	NOUN
ijassa-428	110	8	for	for	ADP
ijassa-428	110	9	tours	tour	NOUN
ijassa-428	110	10	fθ(y	fθ(y	X
ijassa-428	110	11	)	)	PUNCT
ijassa-428	110	12	probability	probability	NOUN
ijassa-428	110	13	density	density	NOUN
ijassa-428	110	14	function	function	NOUN
ijassa-428	110	15	of	of	ADP
ijassa-428	110	16	a	a	DET
ijassa-428	110	17	demand	demand	NOUN
ijassa-428	110	18	x	x	NOUN
ijassa-428	110	19	fθ(y	fθ(y	X
ijassa-428	110	20	)	)	PUNCT
ijassa-428	110	21	cumulative	cumulative	ADJ
ijassa-428	110	22	distribution	distribution	NOUN
ijassa-428	110	23	function	function	NOUN
ijassa-428	110	24	of	of	ADP
ijassa-428	110	25	a	a	DET
ijassa-428	110	26	demand	demand	NOUN
ijassa-428	110	27	x	x	PUNCT
ijassa-428	110	28	θ	θ	NOUN
ijassa-428	110	29	parameter	parameter	NOUN
ijassa-428	110	30	(	(	PUNCT
ijassa-428	110	31	in	in	ADP
ijassa-428	110	32	general	general	ADJ
ijassa-428	110	33	,	,	PUNCT
ijassa-428	110	34	vector	vector	NOUN
ijassa-428	110	35	)	)	PUNCT
ijassa-428	110	36	y	y	PROPN
ijassa-428	110	37	random	random	ADJ
ijassa-428	110	38	variable	variable	NOUN
ijassa-428	110	39	representing	represent	VERB
ijassa-428	110	40	the	the	DET
ijassa-428	110	41	daily	daily	ADJ
ijassa-428	110	42	supply	supply	NOUN
ijassa-428	110	43	of	of	ADP
ijassa-428	110	44	extras	extras	PROPN
ijassa-428	110	45	p(y	p(y	PROPN
ijassa-428	110	46	)	)	PUNCT
ijassa-428	110	47	probability	probability	NOUN
ijassa-428	110	48	of	of	ADP
ijassa-428	110	49	a	a	DET
ijassa-428	110	50	supply	supply	NOUN
ijassa-428	110	51	y	y	NOUN
ijassa-428	110	52	,	,	PUNCT
ijassa-428	110	53	where	where	SCONJ
ijassa-428	110	54	y=0	y=0	NOUN
ijassa-428	110	55	,	,	PUNCT
ijassa-428	110	56	1	1	NUM
ijassa-428	110	57	,	,	PUNCT
ijassa-428	110	58	...	...	PUNCT
ijassa-428	110	59	,	,	PUNCT
ijassa-428	110	60	∞	∞	PROPN
ijassa-428	110	61	c1	c1	PROPN
ijassa-428	110	62	daily	daily	ADV
ijassa-428	110	63	guaranteed	guarantee	VERB
ijassa-428	110	64	salary	salary	NOUN
ijassa-428	110	65	for	for	ADP
ijassa-428	110	66	the	the	DET
ijassa-428	110	67	permanent	permanent	ADJ
ijassa-428	110	68	interpreter	interpreter	NOUN
ijassa-428	110	69	-	-	PUNCT
ijassa-428	110	70	guide	guide	NOUN
ijassa-428	110	71	c2	c2	PROPN
ijassa-428	110	72	daily	daily	ADJ
ijassa-428	110	73	salary	salary	NOUN
ijassa-428	110	74	for	for	ADP
ijassa-428	110	75	the	the	DET
ijassa-428	110	76	supplementary	supplementary	ADJ
ijassa-428	110	77	(	(	PUNCT
ijassa-428	110	78	or	or	CCONJ
ijassa-428	110	79	extra	extra	ADJ
ijassa-428	110	80	)	)	PUNCT
ijassa-428	110	81	interpreter	interpreter	ADJ
ijassa-428	110	82	-	-	PUNCT
ijassa-428	110	83	guide	guide	NOUN
ijassa-428	110	84	c3	c3	NOUN
ijassa-428	110	85	shortage	shortage	NOUN
ijassa-428	110	86	cost	cost	NOUN
ijassa-428	110	87	per	per	ADP
ijassa-428	110	88	unit	unit	NOUN
ijassa-428	110	89	of	of	ADP
ijassa-428	110	90	x	x	PART
ijassa-428	110	91	u	u	NOUN
ijassa-428	110	92	variable	variable	NOUN
ijassa-428	110	93	representing	represent	VERB
ijassa-428	110	94	the	the	DET
ijassa-428	110	95	number	number	NOUN
ijassa-428	110	96	of	of	ADP
ijassa-428	110	97	the	the	DET
ijassa-428	110	98	permanent	permanent	ADJ
ijassa-428	110	99	interpreter	interpreter	NOUN
ijassa-428	110	100	-	-	PUNCT
ijassa-428	110	101	guides	guide	NOUN
ijassa-428	110	102	u∗	u∗	VERB
ijassa-428	110	103	optimal	optimal	ADJ
ijassa-428	110	104	quantity	quantity	NOUN
ijassa-428	110	105	of	of	ADP
ijassa-428	110	106	the	the	DET
ijassa-428	110	107	number	number	NOUN
ijassa-428	110	108	of	of	ADP
ijassa-428	110	109	the	the	DET
ijassa-428	110	110	permanent	permanent	ADJ
ijassa-428	110	111	interpreter	interpreter	NOUN
ijassa-428	110	112	-	-	PUNCT
ijassa-428	110	113	guides	guide	NOUN
ijassa-428	110	114	c(u	c(u	PROPN
ijassa-428	110	115	)	)	PUNCT
ijassa-428	110	116	expected	expect	VERB
ijassa-428	110	117	overall	overall	ADJ
ijassa-428	110	118	costs	cost	NOUN
ijassa-428	110	119	as	as	ADP
ijassa-428	110	120	a	a	DET
ijassa-428	110	121	function	function	NOUN
ijassa-428	110	122	of	of	ADP
ijassa-428	110	123	u	u	PROPN
ijassa-428	110	124	74	74	NUM
ijassa-428	110	125	konstantin	konstantin	PROPN
ijassa-428	110	126	n.	n.	PROPN
ijassa-428	110	127	nechval	nechval	PROPN
ijassa-428	110	128	:	:	PUNCT
ijassa-428	110	129	optimization	optimization	NOUN
ijassa-428	110	130	of	of	ADP
ijassa-428	110	131	statistical	statistical	ADJ
ijassa-428	110	132	decision	decision	NOUN
ijassa-428	110	133	for	for	ADP
ijassa-428	110	134	personnel	personnel	NOUN
ijassa-428	110	135	management	management	NOUN
ijassa-428	110	136	...	...	PUNCT
ijassa-428	110	137	thus	thus	ADV
ijassa-428	110	138	,	,	PUNCT
ijassa-428	110	139	the	the	DET
ijassa-428	110	140	function	function	NOUN
ijassa-428	110	141	of	of	ADP
ijassa-428	110	142	overall	overall	ADJ
ijassa-428	110	143	costs	cost	NOUN
ijassa-428	110	144	is	be	AUX
ijassa-428	110	145	given	give	VERB
ijassa-428	110	146	by	by	ADP
ijassa-428	110	147	c(u	c(u	PROPN
ijassa-428	110	148	,	,	PUNCT
ijassa-428	110	149	x	x	NOUN
ijassa-428	110	150	,	,	PUNCT
ijassa-428	110	151	y	y	PROPN
ijassa-428	110	152	)	)	PUNCT
ijassa-428	110	153	=	=	PUNCT
ijassa-428	111	1			PUNCT
ijassa-428	111	2	c1u	c1u	PROPN
ijassa-428	111	3	,	,	PUNCT
ijassa-428	111	4	0	0	NUM
ijassa-428	111	5	≤	≤	NUM
ijassa-428	111	6	x	x	X
ijassa-428	111	7	≤	≤	NUM
ijassa-428	111	8	u	u	NOUN
ijassa-428	111	9	c1u+	c1u+	NOUN
ijassa-428	111	10	c2(x	c2(x	PROPN
ijassa-428	111	11	−	−	PROPN
ijassa-428	111	12	u	u	NOUN
ijassa-428	111	13	)	)	PUNCT
ijassa-428	111	14	,	,	PUNCT
ijassa-428	111	15	u	u	NOUN
ijassa-428	111	16	≤	≤	NUM
ijassa-428	111	17	x	x	SYM
ijassa-428	111	18	≤	≤	X
ijassa-428	111	19	u+	u+	PUNCT
ijassa-428	111	20	y	y	PROPN
ijassa-428	111	21	c1u+	c1u+	NOUN
ijassa-428	111	22	c2y	c2y	X
ijassa-428	112	1	+	+	CCONJ
ijassa-428	112	2	c3(x	c3(x	PRON
ijassa-428	112	3	−	−	NOUN
ijassa-428	112	4	u−	u−	PROPN
ijassa-428	112	5	y	y	PROPN
ijassa-428	112	6	)	)	PUNCT
ijassa-428	112	7	,	,	PUNCT
ijassa-428	112	8	u+	u+	NOUN
ijassa-428	112	9	y	y	PROPN
ijassa-428	112	10	<	<	X
ijassa-428	112	11	x	x	X
ijassa-428	112	12	<	<	X
ijassa-428	112	13	∞	∞	PROPN
ijassa-428	112	14	(	(	PUNCT
ijassa-428	112	15	14	14	NUM
ijassa-428	112	16	)	)	PUNCT
ijassa-428	112	17	we	we	PRON
ijassa-428	112	18	write	write	VERB
ijassa-428	112	19	the	the	DET
ijassa-428	112	20	expected	expect	VERB
ijassa-428	112	21	overall	overall	ADJ
ijassa-428	112	22	costs	cost	NOUN
ijassa-428	112	23	as	as	ADP
ijassa-428	112	24	c(u	c(u	PROPN
ijassa-428	112	25	)	)	PUNCT
ijassa-428	113	1	=	=	SYM
ijassa-428	113	2	e	e	X
ijassa-428	113	3	{	{	PUNCT
ijassa-428	113	4	eθ	eθ	PROPN
ijassa-428	113	5	{	{	PUNCT
ijassa-428	113	6	c(u	c(u	PROPN
ijassa-428	113	7	,	,	PUNCT
ijassa-428	113	8	x	x	PROPN
ijassa-428	113	9	,	,	PUNCT
ijassa-428	113	10	y	y	PROPN
ijassa-428	113	11	)	)	PUNCT
ijassa-428	113	12	}	}	PUNCT
ijassa-428	113	13	}	}	PUNCT
ijassa-428	113	14	=	=	PUNCT
ijassa-428	113	15	∞∑	∞∑	NUM
ijassa-428	113	16	y=0	y=0	NUM
ijassa-428	113	17	p(y	p(y	NOUN
ijassa-428	113	18	)	)	PUNCT
ijassa-428	113	19	∫	∫	PROPN
ijassa-428	113	20	∞	∞	PROPN
ijassa-428	113	21	0	0	NUM
ijassa-428	114	1	c(u	c(u	PROPN
ijassa-428	114	2	,	,	PUNCT
ijassa-428	114	3	x	x	NOUN
ijassa-428	114	4	,	,	PUNCT
ijassa-428	114	5	y)fθ(x)dx	y)fθ(x)dx	NOUN
ijassa-428	114	6	=	=	PUNCT
ijassa-428	114	7	∞∑	∞∑	NUM
ijassa-428	114	8	y=0	y=0	NOUN
ijassa-428	114	9	p(y)c(u	p(y)c(u	NOUN
ijassa-428	114	10	,	,	PUNCT
ijassa-428	114	11	y	y	NOUN
ijassa-428	114	12	)	)	PUNCT
ijassa-428	114	13	,	,	PUNCT
ijassa-428	114	14	(	(	PUNCT
ijassa-428	114	15	15	15	NUM
ijassa-428	114	16	)	)	PUNCT
ijassa-428	115	1	where	where	SCONJ
ijassa-428	115	2	c(u	c(u	PROPN
ijassa-428	115	3	,	,	PUNCT
ijassa-428	115	4	y	y	NOUN
ijassa-428	115	5	)	)	PUNCT
ijassa-428	115	6	=	=	SYM
ijassa-428	116	1	∫	∫	PROPN
ijassa-428	116	2	∞	∞	PROPN
ijassa-428	116	3	0	0	NUM
ijassa-428	117	1	c(u	c(u	PROPN
ijassa-428	117	2	,	,	PUNCT
ijassa-428	117	3	x	x	NOUN
ijassa-428	117	4	,	,	PUNCT
ijassa-428	117	5	y)fθ(x)dx	y)fθ(x)dx	ADJ
ijassa-428	117	6	=	=	PUNCT
ijassa-428	118	1	c1u+	c1u+	NOUN
ijassa-428	118	2	c2	c2	PROPN
ijassa-428	118	3	∫	∫	PROPN
ijassa-428	118	4	u+y	u+y	PROPN
ijassa-428	118	5	u	u	PROPN
ijassa-428	118	6	(	(	PUNCT
ijassa-428	118	7	x−	x−	PROPN
ijassa-428	118	8	u)fθ(x)dx	u)fθ(x)dx	PROPN
ijassa-428	119	1	+	+	CCONJ
ijassa-428	119	2	∫	∫	PROPN
ijassa-428	119	3	∞	∞	PROPN
ijassa-428	119	4	u+y	u+y	PROPN
ijassa-428	120	1	[	[	X
ijassa-428	120	2	c2y	c2y	X
ijassa-428	120	3	+	+	NUM
ijassa-428	120	4	c3(x−	c3(x−	ADP
ijassa-428	120	5	u−	u−	PROPN
ijassa-428	120	6	y)]fθ(x)dx	y)]fθ(x)dx	NOUN
ijassa-428	120	7	.	.	PUNCT
ijassa-428	121	1	(	(	PUNCT
ijassa-428	121	2	16	16	NUM
ijassa-428	121	3	)	)	PUNCT
ijassa-428	121	4	the	the	DET
ijassa-428	121	5	function	function	NOUN
ijassa-428	121	6	c(u	c(u	PROPN
ijassa-428	121	7	)	)	PUNCT
ijassa-428	121	8	can	can	AUX
ijassa-428	121	9	be	be	AUX
ijassa-428	121	10	shown	show	VERB
ijassa-428	121	11	to	to	PART
ijassa-428	121	12	be	be	AUX
ijassa-428	121	13	convex	convex	ADJ
ijassa-428	121	14	in	in	ADP
ijassa-428	121	15	u	u	NOUN
ijassa-428	121	16	,	,	PUNCT
ijassa-428	121	17	thus	thus	ADV
ijassa-428	121	18	having	have	VERB
ijassa-428	121	19	a	a	DET
ijassa-428	121	20	unique	unique	ADJ
ijassa-428	121	21	minimum	minimum	NOUN
ijassa-428	121	22	.	.	PUNCT
ijassa-428	122	1	taking	take	VERB
ijassa-428	122	2	the	the	DET
ijassa-428	122	3	first	first	ADJ
ijassa-428	122	4	derivative	derivative	NOUN
ijassa-428	122	5	of	of	ADP
ijassa-428	122	6	c(u	c(u	PROPN
ijassa-428	122	7	)	)	PUNCT
ijassa-428	122	8	with	with	ADP
ijassa-428	122	9	respect	respect	NOUN
ijassa-428	122	10	to	to	ADP
ijassa-428	122	11	u	u	NOUN
ijassa-428	122	12	and	and	CCONJ
ijassa-428	122	13	equating	equate	VERB
ijassa-428	122	14	it	it	PRON
ijassa-428	122	15	to	to	ADP
ijassa-428	122	16	zero	zero	NUM
ijassa-428	122	17	,	,	PUNCT
ijassa-428	122	18	we	we	PRON
ijassa-428	122	19	get	get	VERB
ijassa-428	122	20	∞∑	∞∑	NUM
ijassa-428	122	21	y=0	y=0	NOUN
ijassa-428	122	22	p(y	p(y	NOUN
ijassa-428	122	23	)	)	PUNCT
ijassa-428	122	24	(	(	PUNCT
ijassa-428	122	25	c1	c1	PROPN
ijassa-428	122	26	−	−	PROPN
ijassa-428	122	27	c2	c2	PROPN
ijassa-428	122	28	∫	∫	PROPN
ijassa-428	122	29	u+y	u+y	PROPN
ijassa-428	122	30	u	u	NOUN
ijassa-428	122	31	fθ(x)dx−	fθ(x)dx−	PROPN
ijassa-428	122	32	c3	c3	PROPN
ijassa-428	122	33	∫	∫	PROPN
ijassa-428	122	34	∞	∞	PROPN
ijassa-428	122	35	u+y	u+y	PROPN
ijassa-428	122	36	fθ(x)dx	fθ(x)dx	NOUN
ijassa-428	122	37	)	)	PUNCT
ijassa-428	123	1	=	=	SYM
ijassa-428	123	2	0	0	X
ijassa-428	123	3	.	.	PUNCT
ijassa-428	124	1	(	(	PUNCT
ijassa-428	124	2	17	17	NUM
ijassa-428	124	3	)	)	PUNCT
ijassa-428	124	4	the	the	DET
ijassa-428	124	5	value	value	NOUN
ijassa-428	124	6	of	of	ADP
ijassa-428	124	7	u	u	PRON
ijassa-428	124	8	that	that	PRON
ijassa-428	124	9	minimizes	minimize	VERB
ijassa-428	124	10	(	(	PUNCT
ijassa-428	124	11	17	17	NUM
ijassa-428	124	12	)	)	PUNCT
ijassa-428	124	13	is	be	AUX
ijassa-428	124	14	the	the	DET
ijassa-428	124	15	one	one	NUM
ijassa-428	124	16	that	that	PRON
ijassa-428	124	17	satisfies	satisfy	VERB
ijassa-428	124	18	c2f̄θ(u	c2f̄θ(u	ADV
ijassa-428	124	19	∗	∗	NOUN
ijassa-428	124	20	)	)	PUNCT
ijassa-428	125	1	+	+	CCONJ
ijassa-428	125	2	(	(	PUNCT
ijassa-428	125	3	c3	c3	PROPN
ijassa-428	125	4	−	−	PROPN
ijassa-428	125	5	c2	c2	PROPN
ijassa-428	125	6	)	)	PUNCT
ijassa-428	125	7	∞∑	∞∑	NUM
ijassa-428	125	8	y=0	y=0	NOUN
ijassa-428	125	9	p(y)f̄θ(u	p(y)f̄θ(u	NOUN
ijassa-428	125	10	∗	∗	NOUN
ijassa-428	125	11	+	+	NOUN
ijassa-428	125	12	y	y	X
ijassa-428	125	13	)	)	PUNCT
ijassa-428	126	1	=	=	SYM
ijassa-428	126	2	c3	c3	PROPN
ijassa-428	126	3	−	−	PROPN
ijassa-428	126	4	c1	c1	PROPN
ijassa-428	126	5	,	,	PUNCT
ijassa-428	126	6	(	(	PUNCT
ijassa-428	126	7	18	18	NUM
ijassa-428	126	8	)	)	PUNCT
ijassa-428	126	9	where	where	SCONJ
ijassa-428	126	10	fθ(x	fθ(x	PUNCT
ijassa-428	126	11	)	)	PUNCT
ijassa-428	126	12	=	=	SYM
ijassa-428	126	13	1−	1−	NUM
ijassa-428	126	14	fθ(x	fθ(x	NUM
ijassa-428	126	15	)	)	PUNCT
ijassa-428	126	16	(	(	PUNCT
ijassa-428	126	17	19	19	NUM
ijassa-428	126	18	)	)	PUNCT
ijassa-428	126	19	if	if	SCONJ
ijassa-428	126	20	p(y	p(y	PROPN
ijassa-428	126	21	=	=	NOUN
ijassa-428	126	22	0	0	NUM
ijassa-428	126	23	)	)	PUNCT
ijassa-428	126	24	=	=	SYM
ijassa-428	126	25	1,then	1,then	NUM
ijassa-428	126	26	fθ(u	fθ(u	PUNCT
ijassa-428	126	27	∗	∗	NOUN
ijassa-428	126	28	)	)	PUNCT
ijassa-428	126	29	=	=	SYM
ijassa-428	127	1	c3	c3	PROPN
ijassa-428	127	2	−	−	PROPN
ijassa-428	127	3	c1	c1	PROPN
ijassa-428	127	4	c3	c3	PROPN
ijassa-428	127	5	.	.	PUNCT
ijassa-428	128	1	(	(	PUNCT
ijassa-428	128	2	20	20	NUM
ijassa-428	128	3	)	)	PUNCT
ijassa-428	128	4	in	in	ADP
ijassa-428	128	5	this	this	DET
ijassa-428	128	6	case	case	NOUN
ijassa-428	128	7	,	,	PUNCT
ijassa-428	128	8	we	we	PRON
ijassa-428	128	9	should	should	AUX
ijassa-428	128	10	choose	choose	VERB
ijassa-428	128	11	the	the	DET
ijassa-428	128	12	u∗	u∗	NOUN
ijassa-428	128	13	such	such	ADJ
ijassa-428	128	14	that	that	SCONJ
ijassa-428	128	15	the	the	DET
ijassa-428	128	16	cumulative	cumulative	ADJ
ijassa-428	128	17	distribution	distribution	NOUN
ijassa-428	128	18	function	function	NOUN
ijassa-428	128	19	of	of	ADP
ijassa-428	128	20	u∗	u∗	ADV
ijassa-428	128	21	equals	equal	VERB
ijassa-428	128	22	the	the	DET
ijassa-428	128	23	ratio	ratio	NOUN
ijassa-428	128	24	of	of	ADP
ijassa-428	128	25	the	the	DET
ijassa-428	128	26	difference	difference	NOUN
ijassa-428	128	27	of	of	ADP
ijassa-428	128	28	the	the	DET
ijassa-428	128	29	underage	underage	ADJ
ijassa-428	128	30	and	and	CCONJ
ijassa-428	128	31	overage	overage	NOUN
ijassa-428	128	32	costs	cost	NOUN
ijassa-428	128	33	to	to	ADP
ijassa-428	128	34	the	the	DET
ijassa-428	128	35	underage	underage	ADJ
ijassa-428	128	36	cost	cost	NOUN
ijassa-428	128	37	.	.	PUNCT
ijassa-428	129	1	a	a	DET
ijassa-428	129	2	relatively	relatively	ADV
ijassa-428	129	3	high	high	ADJ
ijassa-428	129	4	underage	underage	ADJ
ijassa-428	129	5	cost	cost	NOUN
ijassa-428	129	6	results	result	NOUN
ijassa-428	129	7	in	in	ADP
ijassa-428	129	8	a	a	DET
ijassa-428	129	9	higher	high	ADJ
ijassa-428	129	10	number	number	NOUN
ijassa-428	129	11	of	of	ADP
ijassa-428	129	12	the	the	DET
ijassa-428	129	13	permanent	permanent	ADJ
ijassa-428	129	14	interpreter	interpreter	NOUN
ijassa-428	129	15	-	-	PUNCT
ijassa-428	129	16	guides	guide	NOUN
ijassa-428	129	17	,	,	PUNCT
ijassa-428	129	18	whereas	whereas	SCONJ
ijassa-428	129	19	a	a	DET
ijassa-428	129	20	relatively	relatively	ADV
ijassa-428	129	21	high	high	ADJ
ijassa-428	129	22	overage	overage	NOUN
ijassa-428	129	23	cost	cost	NOUN
ijassa-428	129	24	leads	lead	VERB
ijassa-428	129	25	to	to	ADP
ijassa-428	129	26	a	a	DET
ijassa-428	129	27	lower	low	ADJ
ijassa-428	129	28	number	number	NOUN
ijassa-428	129	29	of	of	ADP
ijassa-428	129	30	the	the	DET
ijassa-428	129	31	permanent	permanent	ADJ
ijassa-428	129	32	interpreter	interpreter	NOUN
ijassa-428	129	33	-	-	PUNCT
ijassa-428	129	34	guides	guide	NOUN
ijassa-428	129	35	,	,	PUNCT
ijassa-428	129	36	as	as	SCONJ
ijassa-428	129	37	one	one	PRON
ijassa-428	129	38	would	would	AUX
ijassa-428	129	39	expect	expect	VERB
ijassa-428	129	40	.	.	PUNCT
ijassa-428	130	1	if	if	SCONJ
ijassa-428	130	2	the	the	DET
ijassa-428	130	3	advances	advance	NOUN
ijassa-428	130	4	in	in	ADP
ijassa-428	130	5	systems	system	NOUN
ijassa-428	130	6	science	science	NOUN
ijassa-428	130	7	and	and	CCONJ
ijassa-428	130	8	applications	application	NOUN
ijassa-428	130	9	(	(	PUNCT
ijassa-428	130	10	2013	2013	NUM
ijassa-428	130	11	)	)	PUNCT
ijassa-428	130	12	vol.13	vol.13	NOUN
ijassa-428	130	13	no.1	no.1	VERB
ijassa-428	130	14	75	75	NUM
ijassa-428	130	15	daily	daily	ADJ
ijassa-428	130	16	demand	demand	NOUN
ijassa-428	130	17	for	for	ADP
ijassa-428	130	18	tours	tour	NOUN
ijassa-428	130	19	x	x	PRON
ijassa-428	130	20	follows	follow	VERB
ijassa-428	130	21	the	the	DET
ijassa-428	130	22	exponential	exponential	ADJ
ijassa-428	130	23	distribution	distribution	NOUN
ijassa-428	130	24	with	with	ADP
ijassa-428	130	25	the	the	DET
ijassa-428	130	26	probability	probability	NOUN
ijassa-428	130	27	density	density	NOUN
ijassa-428	130	28	function	function	NOUN
ijassa-428	130	29	fσ(x	fσ(x	NUM
ijassa-428	130	30	)	)	PUNCT
ijassa-428	130	31	=	=	SYM
ijassa-428	130	32	σ−1exp(−x	σ−1exp(−x	NOUN
ijassa-428	130	33	/	/	SYM
ijassa-428	130	34	σ	σ	PROPN
ijassa-428	130	35	)	)	PUNCT
ijassa-428	130	36	,	,	PUNCT
ijassa-428	130	37	σ	σ	X
ijassa-428	130	38	>	>	X
ijassa-428	130	39	0	0	PUNCT
ijassa-428	131	1	(	(	PUNCT
ijassa-428	131	2	21	21	NUM
ijassa-428	131	3	)	)	PUNCT
ijassa-428	131	4	and	and	CCONJ
ijassa-428	131	5	the	the	DET
ijassa-428	131	6	cumulative	cumulative	ADJ
ijassa-428	131	7	distribution	distribution	NOUN
ijassa-428	131	8	function	function	NOUN
ijassa-428	131	9	fσ(x	fσ(x	PUNCT
ijassa-428	131	10	)	)	PUNCT
ijassa-428	131	11	=	=	SYM
ijassa-428	132	1	1−	1−	NUM
ijassa-428	132	2	exp(−x	exp(−x	PROPN
ijassa-428	132	3	/	/	SYM
ijassa-428	132	4	σ	σ	PROPN
ijassa-428	132	5	)	)	PUNCT
ijassa-428	132	6	(	(	PUNCT
ijassa-428	132	7	22	22	NUM
ijassa-428	132	8	)	)	PUNCT
ijassa-428	132	9	where	where	SCONJ
ijassa-428	132	10	σ	σ	PROPN
ijassa-428	132	11	is	be	AUX
ijassa-428	132	12	the	the	DET
ijassa-428	132	13	scale	scale	NOUN
ijassa-428	132	14	parameter	parameter	NOUN
ijassa-428	132	15	(	(	PUNCT
ijassa-428	132	16	σ	σ	X
ijassa-428	132	17	>	>	X
ijassa-428	132	18	0	0	NUM
ijassa-428	132	19	)	)	PUNCT
ijassa-428	132	20	,	,	PUNCT
ijassa-428	132	21	then	then	ADV
ijassa-428	132	22	c(u	c(u	PROPN
ijassa-428	132	23	)	)	PUNCT
ijassa-428	132	24	=	=	PUNCT
ijassa-428	133	1	∞∑	∞∑	NUM
ijassa-428	133	2	y=0	y=0	NOUN
ijassa-428	133	3	p(y)c(u	p(y)c(u	NOUN
ijassa-428	133	4	,	,	PUNCT
ijassa-428	133	5	y	y	NOUN
ijassa-428	133	6	)	)	PUNCT
ijassa-428	133	7	(	(	PUNCT
ijassa-428	133	8	23	23	NUM
ijassa-428	133	9	)	)	PUNCT
ijassa-428	134	1	where	where	SCONJ
ijassa-428	134	2	c(u	c(u	PROPN
ijassa-428	134	3	,	,	PUNCT
ijassa-428	134	4	y	y	NOUN
ijassa-428	134	5	)	)	PUNCT
ijassa-428	134	6	=	=	PRON
ijassa-428	134	7	σ[c1	σ[c1	CCONJ
ijassa-428	134	8	u	u	PROPN
ijassa-428	134	9	σ	σ	PROPN
ijassa-428	134	10	+	+	CCONJ
ijassa-428	134	11	c2exp(−	c2exp(−	PROPN
ijassa-428	134	12	u	u	PROPN
ijassa-428	134	13	σ	σ	PROPN
ijassa-428	134	14	)	)	PUNCT
ijassa-428	135	1	+	+	CCONJ
ijassa-428	135	2	(	(	PUNCT
ijassa-428	135	3	c3	c3	PROPN
ijassa-428	135	4	−	−	PROPN
ijassa-428	135	5	c2)exp(−	c2)exp(−	PROPN
ijassa-428	135	6	u+	u+	PROPN
ijassa-428	135	7	y	y	PROPN
ijassa-428	135	8	σ	σ	PROPN
ijassa-428	135	9	)	)	PUNCT
ijassa-428	135	10	]	]	PUNCT
ijassa-428	136	1	(	(	PUNCT
ijassa-428	136	2	24	24	NUM
ijassa-428	136	3	)	)	PUNCT
ijassa-428	136	4	and	and	CCONJ
ijassa-428	136	5	the	the	DET
ijassa-428	136	6	value	value	NOUN
ijassa-428	136	7	of	of	ADP
ijassa-428	136	8	u	u	PRON
ijassa-428	136	9	that	that	PRON
ijassa-428	136	10	minimizes	minimize	VERB
ijassa-428	136	11	(	(	PUNCT
ijassa-428	136	12	23	23	NUM
ijassa-428	136	13	)	)	PUNCT
ijassa-428	136	14	is	be	AUX
ijassa-428	136	15	the	the	DET
ijassa-428	136	16	one	one	NUM
ijassa-428	136	17	that	that	PRON
ijassa-428	136	18	satisfies	satisfy	VERB
ijassa-428	136	19	c2exp(−	c2exp(−	VERB
ijassa-428	136	20	u∗	u∗	PROPN
ijassa-428	136	21	σ	σ	PROPN
ijassa-428	136	22	)	)	PUNCT
ijassa-428	137	1	+	+	CCONJ
ijassa-428	137	2	(	(	PUNCT
ijassa-428	137	3	c3	c3	PROPN
ijassa-428	137	4	−	−	PROPN
ijassa-428	137	5	c2	c2	PROPN
ijassa-428	137	6	)	)	PUNCT
ijassa-428	137	7	∞∑	∞∑	NUM
ijassa-428	137	8	y=0	y=0	NOUN
ijassa-428	137	9	p(y)exp(−u∗	p(y)exp(−u∗	NUM
ijassa-428	137	10	+	+	NOUN
ijassa-428	137	11	y	y	PROPN
ijassa-428	137	12	σ	σ	PROPN
ijassa-428	137	13	)	)	PUNCT
ijassa-428	137	14	=	=	PROPN
ijassa-428	137	15	c1	c1	PROPN
ijassa-428	137	16	(	(	PUNCT
ijassa-428	137	17	25	25	NUM
ijassa-428	137	18	)	)	PUNCT
ijassa-428	137	19	if	if	SCONJ
ijassa-428	137	20	p(y	p(y	PROPN
ijassa-428	137	21	=	=	NOUN
ijassa-428	137	22	0	0	NUM
ijassa-428	137	23	)	)	PUNCT
ijassa-428	137	24	=	=	SYM
ijassa-428	137	25	1	1	NUM
ijassa-428	137	26	,	,	PUNCT
ijassa-428	137	27	then	then	ADV
ijassa-428	137	28	u∗	u∗	ADV
ijassa-428	137	29	=	=	PUNCT
ijassa-428	137	30	σln	σln	PROPN
ijassa-428	137	31	(	(	PUNCT
ijassa-428	137	32	c3	c3	PROPN
ijassa-428	137	33	c1	c1	PROPN
ijassa-428	137	34	)	)	PUNCT
ijassa-428	137	35	(	(	PUNCT
ijassa-428	137	36	26	26	NUM
ijassa-428	137	37	)	)	PUNCT
ijassa-428	137	38	and	and	CCONJ
ijassa-428	137	39	c(u∗	c(u∗	NUM
ijassa-428	137	40	)	)	PUNCT
ijassa-428	137	41	=	=	PUNCT
ijassa-428	137	42	c1[1	c1[1	PUNCT
ijassa-428	137	43	+	+	PUNCT
ijassa-428	137	44	ln	ln	ADJ
ijassa-428	137	45	(	(	PUNCT
ijassa-428	137	46	c3	c3	PROPN
ijassa-428	137	47	c1	c1	PROPN
ijassa-428	137	48	)	)	PUNCT
ijassa-428	137	49	]	]	PUNCT
ijassa-428	138	1	σ	σ	X
ijassa-428	138	2	(	(	PUNCT
ijassa-428	138	3	27	27	NUM
ijassa-428	138	4	)	)	PUNCT
ijassa-428	138	5	parametric	parametric	ADJ
ijassa-428	138	6	uncertainty	uncertainty	NOUN
ijassa-428	138	7	.	.	PUNCT
ijassa-428	139	1	consider	consider	VERB
ijassa-428	139	2	the	the	DET
ijassa-428	139	3	case	case	NOUN
ijassa-428	139	4	when	when	SCONJ
ijassa-428	139	5	the	the	DET
ijassa-428	139	6	parameter	parameter	NOUN
ijassa-428	139	7	σ	σ	PROPN
ijassa-428	139	8	is	be	AUX
ijassa-428	139	9	unknown	unknown	ADJ
ijassa-428	139	10	.	.	PUNCT
ijassa-428	140	1	let	let	VERB
ijassa-428	140	2	x1	x1	PROPN
ijassa-428	140	3	≤	≤	NUM
ijassa-428	140	4	...	...	PUNCT
ijassa-428	141	1	≤	≤	NUM
ijassa-428	141	2	xn	xn	PUNCT
ijassa-428	141	3	be	be	AUX
ijassa-428	141	4	the	the	DET
ijassa-428	141	5	past	past	ADJ
ijassa-428	141	6	observations	observation	NOUN
ijassa-428	141	7	(	(	PUNCT
ijassa-428	141	8	of	of	ADP
ijassa-428	141	9	the	the	DET
ijassa-428	141	10	daily	daily	ADJ
ijassa-428	141	11	demand	demand	NOUN
ijassa-428	141	12	for	for	ADP
ijassa-428	141	13	tours	tour	NOUN
ijassa-428	141	14	)	)	PUNCT
ijassa-428	141	15	from	from	ADP
ijassa-428	141	16	the	the	DET
ijassa-428	141	17	exponential	exponential	ADJ
ijassa-428	141	18	distribution	distribution	NOUN
ijassa-428	141	19	(	(	PUNCT
ijassa-428	141	20	21	21	NUM
ijassa-428	141	21	)	)	PUNCT
ijassa-428	141	22	.	.	PUNCT
ijassa-428	142	1	then	then	ADV
ijassa-428	142	2	s	s	VERB
ijassa-428	142	3	=	=	SYM
ijassa-428	142	4	n∑	n∑	NOUN
ijassa-428	142	5	i=1	i=1	X
ijassa-428	142	6	xi	xi	X
ijassa-428	143	1	(	(	PUNCT
ijassa-428	143	2	28	28	NUM
ijassa-428	143	3	)	)	PUNCT
ijassa-428	143	4	is	be	AUX
ijassa-428	143	5	a	a	DET
ijassa-428	143	6	sufficient	sufficient	ADJ
ijassa-428	143	7	statistic	statistic	NOUN
ijassa-428	143	8	for	for	ADP
ijassa-428	143	9	σ	σ	PROPN
ijassa-428	143	10	;	;	PUNCT
ijassa-428	143	11	s	s	X
ijassa-428	143	12	is	be	AUX
ijassa-428	143	13	distributed	distribute	VERB
ijassa-428	143	14	with	with	ADP
ijassa-428	143	15	gσ(s	gσ(s	NUM
ijassa-428	143	16	)	)	PUNCT
ijassa-428	143	17	=	=	PUNCT
ijassa-428	144	1	[	[	X
ijassa-428	144	2	γ(n)σn]−1sn−1exp(−s	γ(n)σn]−1sn−1exp(−	NOUN
ijassa-428	144	3	/	/	SYM
ijassa-428	144	4	σ)(s	σ)(s	NOUN
ijassa-428	144	5	>	>	PUNCT
ijassa-428	144	6	0	0	NUM
ijassa-428	144	7	)	)	PUNCT
ijassa-428	144	8	(	(	PUNCT
ijassa-428	144	9	29	29	NUM
ijassa-428	144	10	)	)	PUNCT
ijassa-428	144	11	to	to	PART
ijassa-428	144	12	find	find	VERB
ijassa-428	144	13	the	the	DET
ijassa-428	144	14	best	good	ADJ
ijassa-428	144	15	invariant	invariant	ADJ
ijassa-428	144	16	decision	decision	NOUN
ijassa-428	144	17	rule	rule	NOUN
ijassa-428	144	18	ubi	ubi	NOUN
ijassa-428	144	19	,	,	PUNCT
ijassa-428	144	20	we	we	PRON
ijassa-428	144	21	use	use	VERB
ijassa-428	144	22	the	the	DET
ijassa-428	144	23	invariant	invariant	ADJ
ijassa-428	144	24	embedding	embed	VERB
ijassa-428	144	25	technique	technique	NOUN
ijassa-428	144	26	[	[	X
ijassa-428	144	27	8	8	NUM
ijassa-428	144	28	-	-	SYM
ijassa-428	144	29	14	14	NUM
ijassa-428	144	30	]	]	PUNCT
ijassa-428	144	31	to	to	PART
ijassa-428	144	32	transform	transform	VERB
ijassa-428	144	33	(	(	PUNCT
ijassa-428	144	34	24	24	NUM
ijassa-428	144	35	)	)	PUNCT
ijassa-428	144	36	to	to	ADP
ijassa-428	144	37	the	the	DET
ijassa-428	144	38	form	form	NOUN
ijassa-428	144	39	,	,	PUNCT
ijassa-428	144	40	which	which	PRON
ijassa-428	144	41	depends	depend	VERB
ijassa-428	144	42	on	on	ADP
ijassa-428	144	43	the	the	DET
ijassa-428	144	44	pivotal	pivotal	ADJ
ijassa-428	144	45	quantity	quantity	NOUN
ijassa-428	144	46	υ	υ	PROPN
ijassa-428	144	47	=	=	SYM
ijassa-428	144	48	s	s	PROPN
ijassa-428	144	49	/	/	SYM
ijassa-428	144	50	σ	σ	PROPN
ijassa-428	144	51	,	,	PUNCT
ijassa-428	144	52	the	the	DET
ijassa-428	144	53	ancillary	ancillary	ADJ
ijassa-428	144	54	factor	factor	NOUN
ijassa-428	144	55	η	η	PROPN
ijassa-428	144	56	=	=	SYM
ijassa-428	144	57	u	u	PROPN
ijassa-428	144	58	/	/	SYM
ijassa-428	144	59	s	s	X
ijassa-428	144	60	and	and	CCONJ
ijassa-428	144	61	y	y	PROPN
ijassa-428	144	62	/	/	SYM
ijassa-428	144	63	s	s	PROPN
ijassa-428	144	64	,	,	PUNCT
ijassa-428	144	65	c(u	c(u	PROPN
ijassa-428	144	66	,	,	PUNCT
ijassa-428	144	67	y	y	NOUN
ijassa-428	144	68	)	)	PUNCT
ijassa-428	144	69	=	=	PRON
ijassa-428	144	70	σ[c1	σ[c1	CCONJ
ijassa-428	144	71	u	u	NOUN
ijassa-428	144	72	s	s	PROPN
ijassa-428	144	73	s	s	PROPN
ijassa-428	144	74	σ	σ	PROPN
ijassa-428	144	75	+	+	PROPN
ijassa-428	144	76	c2exp(−	c2exp(−	X
ijassa-428	144	77	u	u	NOUN
ijassa-428	144	78	s	s	PROPN
ijassa-428	144	79	s	s	PROPN
ijassa-428	144	80	σ	σ	NOUN
ijassa-428	144	81	)	)	PUNCT
ijassa-428	145	1	+	+	CCONJ
ijassa-428	145	2	(	(	PUNCT
ijassa-428	145	3	c3	c3	PROPN
ijassa-428	145	4	−	−	PROPN
ijassa-428	145	5	c2)exp(−	c2)exp(−	PROPN
ijassa-428	145	6	u+	u+	VERB
ijassa-428	145	7	y	y	PROPN
ijassa-428	145	8	s	s	PROPN
ijassa-428	145	9	s	s	PROPN
ijassa-428	145	10	σ	σ	PROPN
ijassa-428	145	11	)	)	PUNCT
ijassa-428	145	12	]	]	PUNCT
ijassa-428	146	1	=	=	SYM
ijassa-428	146	2	σ[c1ην	σ[c1ην	NUM
ijassa-428	146	3	+	+	CCONJ
ijassa-428	146	4	c2exp(−ην	c2exp(−ην	NOUN
ijassa-428	146	5	)	)	PUNCT
ijassa-428	146	6	+	+	CCONJ
ijassa-428	146	7	(	(	PUNCT
ijassa-428	146	8	c3	c3	PROPN
ijassa-428	146	9	−	−	PROPN
ijassa-428	146	10	c2)exp(−η	c2)exp(−η	PROPN
ijassa-428	146	11	+	+	CCONJ
ijassa-428	146	12	y	y	PROPN
ijassa-428	146	13	s	s	PART
ijassa-428	146	14	)	)	PUNCT
ijassa-428	146	15	ν	ν	X
ijassa-428	146	16	]	]	X
ijassa-428	146	17	=	=	SYM
ijassa-428	146	18	c(η	c(η	PROPN
ijassa-428	146	19	,	,	PUNCT
ijassa-428	146	20	y	y	NOUN
ijassa-428	146	21	,	,	PUNCT
ijassa-428	146	22	ν|s	ν|s	NOUN
ijassa-428	146	23	)	)	PUNCT
ijassa-428	146	24	(	(	PUNCT
ijassa-428	146	25	30	30	NUM
ijassa-428	146	26	)	)	PUNCT
ijassa-428	146	27	76	76	NUM
ijassa-428	146	28	konstantin	konstantin	PROPN
ijassa-428	146	29	n.	n.	PROPN
ijassa-428	146	30	nechval	nechval	PROPN
ijassa-428	146	31	:	:	PUNCT
ijassa-428	146	32	optimization	optimization	NOUN
ijassa-428	146	33	of	of	ADP
ijassa-428	146	34	statistical	statistical	ADJ
ijassa-428	146	35	decision	decision	NOUN
ijassa-428	146	36	for	for	ADP
ijassa-428	146	37	personnel	personnel	NOUN
ijassa-428	146	38	management	management	NOUN
ijassa-428	146	39	...	...	PUNCT
ijassa-428	147	1	we	we	PRON
ijassa-428	147	2	find	find	VERB
ijassa-428	147	3	the	the	DET
ijassa-428	147	4	expected	expect	VERB
ijassa-428	147	5	overall	overall	ADJ
ijassa-428	147	6	costs	cost	NOUN
ijassa-428	147	7	for	for	ADP
ijassa-428	147	8	the	the	DET
ijassa-428	147	9	statistical	statistical	ADJ
ijassa-428	147	10	decision	decision	NOUN
ijassa-428	147	11	u	u	NOUN
ijassa-428	147	12	=	=	NOUN
ijassa-428	147	13	ηs	ηs	PROPN
ijassa-428	147	14	as	as	ADP
ijassa-428	147	15	c(η|s	c(η|s	X
ijassa-428	147	16	)	)	PUNCT
ijassa-428	147	17	=	=	PUNCT
ijassa-428	148	1	∞∑	∞∑	NUM
ijassa-428	148	2	y=0	y=0	NOUN
ijassa-428	148	3	p(y)c(η	p(y)c(η	NOUN
ijassa-428	148	4	,	,	PUNCT
ijassa-428	148	5	y|s	y|s	PUNCT
ijassa-428	148	6	)	)	PUNCT
ijassa-428	148	7	(	(	PUNCT
ijassa-428	148	8	31	31	NUM
ijassa-428	148	9	)	)	PUNCT
ijassa-428	149	1	where	where	SCONJ
ijassa-428	149	2	c(η	c(η	PROPN
ijassa-428	149	3	,	,	PUNCT
ijassa-428	149	4	y|s	y|s	NOUN
ijassa-428	149	5	)	)	PUNCT
ijassa-428	149	6	=	=	SYM
ijassa-428	150	1	∫	∫	PROPN
ijassa-428	150	2	∞	∞	PROPN
ijassa-428	150	3	0	0	NUM
ijassa-428	151	1	c(η	c(η	PROPN
ijassa-428	151	2	,	,	PUNCT
ijassa-428	151	3	y	y	NOUN
ijassa-428	151	4	,	,	PUNCT
ijassa-428	151	5	ν|s)g(ν)dν	ν|s)g(ν)dν	PUNCT
ijassa-428	152	1	=	=	PUNCT
ijassa-428	152	2	σ[c1ηn+	σ[c1ηn+	PROPN
ijassa-428	152	3	c2	c2	PROPN
ijassa-428	152	4	1	1	NUM
ijassa-428	152	5	(	(	PUNCT
ijassa-428	152	6	1	1	NUM
ijassa-428	152	7	+	+	CCONJ
ijassa-428	152	8	η)n	η)n	X
ijassa-428	152	9	+	+	CCONJ
ijassa-428	152	10	(	(	PUNCT
ijassa-428	152	11	c3	c3	NOUN
ijassa-428	152	12	−	−	PROPN
ijassa-428	152	13	c2)(1	c2)(1	PROPN
ijassa-428	152	14	+	+	CCONJ
ijassa-428	152	15	η	η	PROPN
ijassa-428	152	16	+	+	PROPN
ijassa-428	152	17	y	y	PROPN
ijassa-428	152	18	s	s	PART
ijassa-428	152	19	)	)	PUNCT
ijassa-428	152	20	−n	−n	ADV
ijassa-428	152	21	]	]	PUNCT
ijassa-428	152	22	(	(	PUNCT
ijassa-428	152	23	32	32	NUM
ijassa-428	152	24	)	)	PUNCT
ijassa-428	152	25	g(ν	g(ν	PROPN
ijassa-428	152	26	)	)	PUNCT
ijassa-428	152	27	=	=	PUNCT
ijassa-428	153	1	[	[	X
ijassa-428	153	2	γ(n)]−1νn−1exp(−ν)(ν	γ(n)]−1νn−1exp(−ν)(ν	X
ijassa-428	153	3	>	>	X
ijassa-428	153	4	0	0	NUM
ijassa-428	153	5	)	)	PUNCT
ijassa-428	153	6	(	(	PUNCT
ijassa-428	153	7	33	33	NUM
ijassa-428	153	8	)	)	PUNCT
ijassa-428	153	9	the	the	DET
ijassa-428	153	10	value	value	NOUN
ijassa-428	153	11	of	of	ADP
ijassa-428	153	12	η	η	PROPN
ijassa-428	153	13	that	that	PRON
ijassa-428	153	14	minimizes	minimize	VERB
ijassa-428	153	15	(	(	PUNCT
ijassa-428	153	16	31	31	NUM
ijassa-428	153	17	)	)	PUNCT
ijassa-428	153	18	is	be	AUX
ijassa-428	153	19	the	the	DET
ijassa-428	153	20	one	one	NUM
ijassa-428	153	21	that	that	PRON
ijassa-428	153	22	satisfies	satisfy	VERB
ijassa-428	153	23	c2	c2	PROPN
ijassa-428	153	24	1	1	NUM
ijassa-428	153	25	(	(	PUNCT
ijassa-428	153	26	1	1	NUM
ijassa-428	153	27	+	+	X
ijassa-428	153	28	η∗)n+1	η∗)n+1	NOUN
ijassa-428	153	29	+	+	CCONJ
ijassa-428	153	30	(	(	PUNCT
ijassa-428	153	31	c3	c3	PROPN
ijassa-428	153	32	−	−	PROPN
ijassa-428	153	33	c2	c2	PROPN
ijassa-428	153	34	)	)	PUNCT
ijassa-428	153	35	∞∑	∞∑	NUM
ijassa-428	153	36	y=0	y=0	NOUN
ijassa-428	153	37	p(y)(1	p(y)(1	NOUN
ijassa-428	153	38	+	+	CCONJ
ijassa-428	153	39	η∗	η∗	PROPN
ijassa-428	153	40	y	y	PROPN
ijassa-428	153	41	s	s	PART
ijassa-428	153	42	)	)	PUNCT
ijassa-428	153	43	−(n+1	−(n+1	ADJ
ijassa-428	153	44	)	)	PUNCT
ijassa-428	153	45	=	=	SYM
ijassa-428	153	46	c1	c1	NOUN
ijassa-428	153	47	(	(	PUNCT
ijassa-428	153	48	34	34	NUM
ijassa-428	153	49	)	)	PUNCT
ijassa-428	153	50	thus	thus	ADV
ijassa-428	153	51	,	,	PUNCT
ijassa-428	153	52	ubi	ubi	PROPN
ijassa-428	153	53	=	=	SYM
ijassa-428	153	54	η∗s	η∗s	X
ijassa-428	153	55	(	(	PUNCT
ijassa-428	153	56	35	35	NUM
ijassa-428	153	57	)	)	PUNCT
ijassa-428	153	58	if	if	SCONJ
ijassa-428	153	59	p(y	p(y	PROPN
ijassa-428	153	60	=	=	NOUN
ijassa-428	153	61	0	0	NUM
ijassa-428	153	62	)	)	PUNCT
ijassa-428	153	63	=	=	SYM
ijassa-428	153	64	1	1	NUM
ijassa-428	153	65	,	,	PUNCT
ijassa-428	153	66	then	then	ADV
ijassa-428	153	67	η∗	η∗	NOUN
ijassa-428	153	68	=	=	PUNCT
ijassa-428	153	69	(	(	PUNCT
ijassa-428	153	70	c3	c3	PROPN
ijassa-428	153	71	c1	c1	PROPN
ijassa-428	153	72	)	)	PUNCT
ijassa-428	153	73	1/(n+1	1/(n+1	NUM
ijassa-428	153	74	)	)	PUNCT
ijassa-428	154	1	−	−	NOUN
ijassa-428	154	2	1	1	NUM
ijassa-428	154	3	(	(	PUNCT
ijassa-428	154	4	36	36	NUM
ijassa-428	154	5	)	)	PUNCT
ijassa-428	154	6	and	and	CCONJ
ijassa-428	154	7	c(η∗|s	c(η∗|s	NUM
ijassa-428	154	8	)	)	PUNCT
ijassa-428	154	9	=	=	SYM
ijassa-428	155	1	σ[c1η	σ[c1η	NOUN
ijassa-428	155	2	∗n+	∗n+	PROPN
ijassa-428	155	3	c3	c3	NOUN
ijassa-428	155	4	1	1	NUM
ijassa-428	155	5	(	(	PUNCT
ijassa-428	155	6	1	1	NUM
ijassa-428	155	7	+	+	NUM
ijassa-428	155	8	η∗)n	η∗)n	NOUN
ijassa-428	155	9	]	]	X
ijassa-428	155	10	=	=	SYM
ijassa-428	155	11	c1	c1	PROPN
ijassa-428	156	1	[	[	X
ijassa-428	156	2	(	(	PUNCT
ijassa-428	156	3	c3	c3	PROPN
ijassa-428	156	4	c1	c1	PROPN
ijassa-428	156	5	)	)	PUNCT
ijassa-428	156	6	1/(n+1	1/(n+1	NUM
ijassa-428	156	7	)	)	PUNCT
ijassa-428	156	8	−	−	PROPN
ijassa-428	156	9	n]σ	n]σ	PROPN
ijassa-428	156	10	(	(	PUNCT
ijassa-428	156	11	37	37	NUM
ijassa-428	156	12	)	)	PUNCT
ijassa-428	156	13	comparison	comparison	NOUN
ijassa-428	156	14	of	of	ADP
ijassa-428	156	15	decision	decision	NOUN
ijassa-428	156	16	rules	rule	NOUN
ijassa-428	156	17	.	.	PUNCT
ijassa-428	157	1	for	for	ADP
ijassa-428	157	2	comparison	comparison	NOUN
ijassa-428	157	3	,	,	PUNCT
ijassa-428	157	4	consider	consider	VERB
ijassa-428	157	5	the	the	DET
ijassa-428	157	6	maximum	maximum	ADJ
ijassa-428	157	7	likelihood	likelihood	NOUN
ijassa-428	157	8	decision	decision	NOUN
ijassa-428	157	9	rule	rule	NOUN
ijassa-428	157	10	that	that	PRON
ijassa-428	157	11	can	can	AUX
ijassa-428	157	12	be	be	AUX
ijassa-428	157	13	obtained	obtain	VERB
ijassa-428	157	14	from	from	ADP
ijassa-428	157	15	(	(	PUNCT
ijassa-428	157	16	26	26	NUM
ijassa-428	157	17	)	)	PUNCT
ijassa-428	157	18	as	as	ADP
ijassa-428	157	19	uml	uml	PROPN
ijassa-428	157	20	=	=	PROPN
ijassa-428	157	21	σ̂ln	σ̂ln	PROPN
ijassa-428	157	22	(	(	PUNCT
ijassa-428	157	23	c3	c3	PROPN
ijassa-428	157	24	c1	c1	PROPN
ijassa-428	157	25	)	)	PUNCT
ijassa-428	158	1	=	=	PUNCT
ijassa-428	158	2	ηmls	ηmls	NOUN
ijassa-428	158	3	(	(	PUNCT
ijassa-428	158	4	38	38	NUM
ijassa-428	158	5	)	)	PUNCT
ijassa-428	158	6	where	where	SCONJ
ijassa-428	158	7	σ̂	σ̂	X
ijassa-428	158	8	=	=	SYM
ijassa-428	158	9	s	s	X
ijassa-428	158	10	/	/	SYM
ijassa-428	158	11	n	n	PROPN
ijassa-428	158	12	is	be	AUX
ijassa-428	158	13	the	the	DET
ijassa-428	158	14	maximum	maximum	ADJ
ijassa-428	158	15	likelihood	likelihood	NOUN
ijassa-428	158	16	estimator	estimator	NOUN
ijassa-428	158	17	of	of	ADP
ijassa-428	158	18	σ	σ	PROPN
ijassa-428	158	19	,	,	PUNCT
ijassa-428	158	20	ηml	ηml	NOUN
ijassa-428	158	21	=	=	SYM
ijassa-428	158	22	ln	ln	PROPN
ijassa-428	158	23	(	(	PUNCT
ijassa-428	158	24	c3	c3	PROPN
ijassa-428	158	25	c1	c1	PROPN
ijassa-428	158	26	)	)	PUNCT
ijassa-428	158	27	1	1	PROPN
ijassa-428	158	28	/	/	SYM
ijassa-428	158	29	n	n	PROPN
ijassa-428	158	30	(	(	PUNCT
ijassa-428	158	31	39	39	NUM
ijassa-428	158	32	)	)	PUNCT
ijassa-428	158	33	since	since	SCONJ
ijassa-428	158	34	ubi	ubi	NOUN
ijassa-428	158	35	and	and	CCONJ
ijassa-428	158	36	uml	uml	PROPN
ijassa-428	158	37	belong	belong	VERB
ijassa-428	158	38	to	to	ADP
ijassa-428	158	39	the	the	DET
ijassa-428	158	40	same	same	ADJ
ijassa-428	158	41	class	class	NOUN
ijassa-428	158	42	c	c	NOUN
ijassa-428	158	43	=	=	SYM
ijassa-428	158	44	{	{	PUNCT
ijassa-428	158	45	u	u	NOUN
ijassa-428	158	46	:	:	PUNCT
ijassa-428	158	47	u	u	NOUN
ijassa-428	158	48	=	=	NOUN
ijassa-428	158	49	ηs	ηs	PROPN
ijassa-428	158	50	}	}	PUNCT
ijassa-428	158	51	(	(	PUNCT
ijassa-428	158	52	40	40	NUM
ijassa-428	158	53	)	)	PUNCT
ijassa-428	158	54	it	it	PRON
ijassa-428	158	55	follows	follow	VERB
ijassa-428	158	56	from	from	ADP
ijassa-428	158	57	the	the	DET
ijassa-428	158	58	above	above	NOUN
ijassa-428	158	59	that	that	PRON
ijassa-428	158	60	uml	uml	PROPN
ijassa-428	158	61	is	be	AUX
ijassa-428	158	62	inadmissible	inadmissible	ADJ
ijassa-428	158	63	in	in	ADP
ijassa-428	158	64	relation	relation	NOUN
ijassa-428	158	65	to	to	ADP
ijassa-428	158	66	ubi	ubi	PROPN
ijassa-428	158	67	.	.	PUNCT
ijassa-428	159	1	if	if	SCONJ
ijassa-428	159	2	,	,	PUNCT
ijassa-428	159	3	say	say	INTJ
ijassa-428	159	4	,	,	PUNCT
ijassa-428	159	5	c1	c1	PROPN
ijassa-428	159	6	=	=	PROPN
ijassa-428	159	7	50	50	NUM
ijassa-428	159	8	,	,	PUNCT
ijassa-428	159	9	c3	c3	PROPN
ijassa-428	159	10	=	=	PROPN
ijassa-428	159	11	3500	3500	NUM
ijassa-428	159	12	(	(	PUNCT
ijassa-428	159	13	in	in	ADP
ijassa-428	159	14	terms	term	NOUN
ijassa-428	159	15	of	of	ADP
ijassa-428	159	16	money	money	NOUN
ijassa-428	159	17	)	)	PUNCT
ijassa-428	159	18	,	,	PUNCT
ijassa-428	159	19	and	and	CCONJ
ijassa-428	159	20	n=1	n=1	PROPN
ijassa-428	159	21	,	,	PUNCT
ijassa-428	159	22	we	we	PRON
ijassa-428	159	23	have	have	VERB
ijassa-428	159	24	that	that	DET
ijassa-428	159	25	rel.eff.c(η|s){uml	rel.eff.c(η|s){uml	PROPN
ijassa-428	159	26	,	,	PUNCT
ijassa-428	159	27	ubi	ubi	PROPN
ijassa-428	159	28	,	,	PUNCT
ijassa-428	159	29	σ	σ	PROPN
ijassa-428	159	30	}	}	PUNCT
ijassa-428	159	31	=	=	PUNCT
ijassa-428	159	32	c(η∗|s)/c(ηml|s	c(η∗|s)/c(ηml|s	X
ijassa-428	159	33	)	)	PUNCT
ijassa-428	159	34	=	=	SYM
ijassa-428	159	35	c1η	c1η	NOUN
ijassa-428	159	36	∗n+	∗n+	NOUN
ijassa-428	159	37	c3	c3	X
ijassa-428	159	38	1	1	NUM
ijassa-428	159	39	(	(	PUNCT
ijassa-428	159	40	1+η∗)n	1+η∗)n	NUM
ijassa-428	159	41	c1ηmln+	c1ηmln+	NOUN
ijassa-428	159	42	c3	c3	PROPN
ijassa-428	159	43	1	1	NUM
ijassa-428	159	44	(	(	PUNCT
ijassa-428	159	45	1+ηml)n	1+ηml)n	NUM
ijassa-428	159	46	=	=	SYM
ijassa-428	159	47	0.9	0.9	NUM
ijassa-428	159	48	(	(	PUNCT
ijassa-428	159	49	41	41	NUM
ijassa-428	159	50	)	)	PUNCT
ijassa-428	159	51	advances	advance	NOUN
ijassa-428	159	52	in	in	ADP
ijassa-428	159	53	systems	system	NOUN
ijassa-428	159	54	science	science	NOUN
ijassa-428	159	55	and	and	CCONJ
ijassa-428	159	56	applications	application	NOUN
ijassa-428	159	57	(	(	PUNCT
ijassa-428	159	58	2013	2013	NUM
ijassa-428	159	59	)	)	PUNCT
ijassa-428	159	60	vol.13	vol.13	NOUN
ijassa-428	159	61	no.1	no.1	VERB
ijassa-428	159	62	77	77	NUM
ijassa-428	159	63	thus	thus	ADV
ijassa-428	159	64	,	,	PUNCT
ijassa-428	159	65	in	in	ADP
ijassa-428	159	66	this	this	DET
ijassa-428	159	67	case	case	NOUN
ijassa-428	159	68	,	,	PUNCT
ijassa-428	159	69	the	the	DET
ijassa-428	159	70	use	use	NOUN
ijassa-428	159	71	of	of	ADP
ijassa-428	159	72	ubi	ubi	PROPN
ijassa-428	159	73	leads	lead	VERB
ijassa-428	159	74	to	to	ADP
ijassa-428	159	75	a	a	DET
ijassa-428	159	76	reduction	reduction	NOUN
ijassa-428	159	77	in	in	ADP
ijassa-428	159	78	the	the	DET
ijassa-428	159	79	expected	expect	VERB
ijassa-428	159	80	overall	overall	ADJ
ijassa-428	159	81	costs	cost	NOUN
ijassa-428	159	82	of	of	ADP
ijassa-428	159	83	about	about	ADV
ijassa-428	159	84	10	10	NUM
ijassa-428	159	85	%	%	NOUN
ijassa-428	159	86	as	as	ADP
ijassa-428	159	87	compared	compare	VERB
ijassa-428	159	88	with	with	ADP
ijassa-428	159	89	uml	uml	PROPN
ijassa-428	159	90	.	.	PUNCT
ijassa-428	160	1	the	the	DET
ijassa-428	160	2	absolute	absolute	ADJ
ijassa-428	160	3	expected	expected	ADJ
ijassa-428	160	4	overall	overall	ADJ
ijassa-428	160	5	costs	cost	NOUN
ijassa-428	160	6	will	will	AUX
ijassa-428	160	7	be	be	AUX
ijassa-428	160	8	proportional	proportional	ADJ
ijassa-428	160	9	to	to	ADP
ijassa-428	160	10	σ	σ	PROPN
ijassa-428	160	11	and	and	CCONJ
ijassa-428	160	12	may	may	AUX
ijassa-428	160	13	be	be	AUX
ijassa-428	160	14	considerable	considerable	ADJ
ijassa-428	160	15	.	.	PUNCT
ijassa-428	161	1	predictive	predictive	ADJ
ijassa-428	161	2	inference	inference	NOUN
ijassa-428	161	3	.	.	PUNCT
ijassa-428	162	1	it	it	PRON
ijassa-428	162	2	will	will	AUX
ijassa-428	162	3	be	be	AUX
ijassa-428	162	4	noted	note	VERB
ijassa-428	162	5	that	that	SCONJ
ijassa-428	162	6	the	the	DET
ijassa-428	162	7	predictive	predictive	ADJ
ijassa-428	162	8	probability	probability	NOUN
ijassa-428	162	9	density	density	NOUN
ijassa-428	162	10	function	function	NOUN
ijassa-428	162	11	of	of	ADP
ijassa-428	162	12	the	the	DET
ijassa-428	162	13	daily	daily	ADJ
ijassa-428	162	14	demand	demand	NOUN
ijassa-428	162	15	for	for	ADP
ijassa-428	162	16	tours	tour	NOUN
ijassa-428	162	17	,	,	PUNCT
ijassa-428	162	18	x	x	X
ijassa-428	162	19	,	,	PUNCT
ijassa-428	162	20	which	which	PRON
ijassa-428	162	21	is	be	AUX
ijassa-428	162	22	compatible	compatible	ADJ
ijassa-428	162	23	with	with	ADP
ijassa-428	162	24	(	(	PUNCT
ijassa-428	162	25	15	15	NUM
ijassa-428	162	26	)	)	PUNCT
ijassa-428	162	27	,	,	PUNCT
ijassa-428	162	28	is	be	AUX
ijassa-428	162	29	given	give	VERB
ijassa-428	162	30	by	by	ADP
ijassa-428	162	31	f(x|s	f(x|s	PROPN
ijassa-428	162	32	)	)	PUNCT
ijassa-428	163	1	=	=	SYM
ijassa-428	163	2	n+	n+	ADP
ijassa-428	163	3	1	1	NUM
ijassa-428	163	4	s	s	PART
ijassa-428	163	5	(	(	PUNCT
ijassa-428	163	6	1	1	NUM
ijassa-428	163	7	+	+	CCONJ
ijassa-428	163	8	x	x	SYM
ijassa-428	163	9	s	s	X
ijassa-428	163	10	)	)	PUNCT
ijassa-428	163	11	−(n+2)(x	−(n+2)(x	NOUN
ijassa-428	163	12	>	>	X
ijassa-428	163	13	0	0	NUM
ijassa-428	163	14	)	)	PUNCT
ijassa-428	163	15	(	(	PUNCT
ijassa-428	163	16	42	42	X
ijassa-428	163	17	)	)	PUNCT
ijassa-428	163	18	using	use	VERB
ijassa-428	163	19	(	(	PUNCT
ijassa-428	163	20	42	42	NUM
ijassa-428	163	21	)	)	PUNCT
ijassa-428	163	22	,	,	PUNCT
ijassa-428	163	23	the	the	DET
ijassa-428	163	24	predictive	predictive	ADJ
ijassa-428	163	25	overall	overall	ADJ
ijassa-428	163	26	costs	cost	NOUN
ijassa-428	163	27	are	be	AUX
ijassa-428	163	28	determined	determine	VERB
ijassa-428	163	29	as	as	ADP
ijassa-428	163	30	c(p)(u|s	c(p)(u|s	NUM
ijassa-428	163	31	)	)	PUNCT
ijassa-428	163	32	=	=	PUNCT
ijassa-428	164	1	∞∑	∞∑	NUM
ijassa-428	164	2	y=0	y=0	NUM
ijassa-428	164	3	p(y)c(p)(u	p(y)c(p)(u	NOUN
ijassa-428	164	4	,	,	PUNCT
ijassa-428	164	5	y|s	y|s	NOUN
ijassa-428	164	6	)	)	PUNCT
ijassa-428	164	7	(	(	PUNCT
ijassa-428	164	8	43	43	NUM
ijassa-428	164	9	)	)	PUNCT
ijassa-428	164	10	where	where	SCONJ
ijassa-428	164	11	c(p)(u	c(p)(u	NOUN
ijassa-428	164	12	,	,	PUNCT
ijassa-428	164	13	y|s	y|s	NOUN
ijassa-428	164	14	)	)	PUNCT
ijassa-428	164	15	=	=	SYM
ijassa-428	165	1	c1u+	c1u+	PROPN
ijassa-428	165	2	c2	c2	PROPN
ijassa-428	165	3	∫	∫	PROPN
ijassa-428	165	4	u+y	u+y	PROPN
ijassa-428	165	5	u	u	PROPN
ijassa-428	165	6	(	(	PUNCT
ijassa-428	165	7	x−	x−	PROPN
ijassa-428	165	8	u)f(x|s)dx+	u)f(x|s)dx+	PROPN
ijassa-428	165	9	∫	∫	PROPN
ijassa-428	165	10	∞	∞	PROPN
ijassa-428	165	11	u+y	u+y	PROPN
ijassa-428	166	1	[	[	X
ijassa-428	166	2	c2y	c2y	X
ijassa-428	166	3	+	+	CCONJ
ijassa-428	166	4	c3(x−	c3(x−	ADJ
ijassa-428	166	5	u−	u−	PROPN
ijassa-428	166	6	y)]f(x|s)dx	y)]f(x|s)dx	NOUN
ijassa-428	166	7	=	=	SYM
ijassa-428	166	8	s	s	NOUN
ijassa-428	166	9	n	n	PRON
ijassa-428	167	1	[	[	X
ijassa-428	167	2	c1	c1	NOUN
ijassa-428	167	3	u	u	NOUN
ijassa-428	167	4	s	s	PART
ijassa-428	167	5	n+	n+	ADP
ijassa-428	167	6	c2(1	c2(1	NOUN
ijassa-428	167	7	+	+	CCONJ
ijassa-428	167	8	u	u	NOUN
ijassa-428	167	9	s	s	PART
ijassa-428	167	10	)	)	PUNCT
ijassa-428	167	11	−n	−n	NOUN
ijassa-428	167	12	+	+	CCONJ
ijassa-428	167	13	(	(	PUNCT
ijassa-428	167	14	c3	c3	NOUN
ijassa-428	167	15	−	−	PROPN
ijassa-428	167	16	c2)(1	c2)(1	NOUN
ijassa-428	168	1	+	+	CCONJ
ijassa-428	168	2	u	u	PROPN
ijassa-428	168	3	s	s	PART
ijassa-428	168	4	+	+	NOUN
ijassa-428	168	5	y	y	PROPN
ijassa-428	168	6	s	s	PART
ijassa-428	168	7	)	)	PUNCT
ijassa-428	168	8	−n	−n	SYM
ijassa-428	168	9	]	]	PUNCT
ijassa-428	168	10	(	(	PUNCT
ijassa-428	168	11	44	44	NUM
ijassa-428	168	12	)	)	PUNCT
ijassa-428	168	13	which	which	PRON
ijassa-428	168	14	can	can	AUX
ijassa-428	168	15	be	be	AUX
ijassa-428	168	16	reduced	reduce	VERB
ijassa-428	168	17	to	to	ADP
ijassa-428	168	18	c(p)(η	c(p)(η	PROPN
ijassa-428	168	19	,	,	PUNCT
ijassa-428	168	20	y	y	NOUN
ijassa-428	168	21	)	)	PUNCT
ijassa-428	168	22	=	=	SYM
ijassa-428	168	23	s	s	NOUN
ijassa-428	168	24	n	n	X
ijassa-428	168	25	[	[	X
ijassa-428	168	26	c1ηn+	c1ηn+	VERB
ijassa-428	168	27	c2	c2	PROPN
ijassa-428	168	28	1	1	NUM
ijassa-428	168	29	(	(	PUNCT
ijassa-428	168	30	1	1	NUM
ijassa-428	168	31	+	+	CCONJ
ijassa-428	168	32	η)n	η)n	X
ijassa-428	168	33	+	+	CCONJ
ijassa-428	168	34	(	(	PUNCT
ijassa-428	168	35	c3	c3	NOUN
ijassa-428	168	36	−	−	PROPN
ijassa-428	168	37	c2)(1	c2)(1	PROPN
ijassa-428	168	38	+	+	CCONJ
ijassa-428	168	39	η	η	PROPN
ijassa-428	168	40	+	+	PROPN
ijassa-428	168	41	y	y	PROPN
ijassa-428	168	42	s	s	PART
ijassa-428	168	43	)	)	PUNCT
ijassa-428	168	44	−n	−n	SYM
ijassa-428	168	45	]	]	PUNCT
ijassa-428	168	46	(	(	PUNCT
ijassa-428	168	47	45	45	NUM
ijassa-428	168	48	)	)	PUNCT
ijassa-428	168	49	thus	thus	ADV
ijassa-428	168	50	,	,	PUNCT
ijassa-428	168	51	it	it	PRON
ijassa-428	168	52	follows	follow	VERB
ijassa-428	168	53	from	from	ADP
ijassa-428	168	54	(	(	PUNCT
ijassa-428	168	55	32	32	NUM
ijassa-428	168	56	)	)	PUNCT
ijassa-428	168	57	and	and	CCONJ
ijassa-428	168	58	(	(	PUNCT
ijassa-428	168	59	45	45	NUM
ijassa-428	168	60	)	)	PUNCT
ijassa-428	168	61	that	that	PRON
ijassa-428	168	62	ubi	ubi	PROPN
ijassa-428	168	63	can	can	AUX
ijassa-428	168	64	be	be	AUX
ijassa-428	168	65	found	find	VERB
ijassa-428	168	66	immediately	immediately	ADV
ijassa-428	168	67	from	from	ADP
ijassa-428	168	68	(	(	PUNCT
ijassa-428	168	69	43	43	NUM
ijassa-428	168	70	)	)	PUNCT
ijassa-428	168	71	as	as	ADP
ijassa-428	168	72	ubi	ubi	NOUN
ijassa-428	168	73	=	=	SYM
ijassa-428	168	74	argmin	argmin	NOUN
ijassa-428	168	75	u	u	PROPN
ijassa-428	168	76	c(p)(u|s	c(p)(u|s	X
ijassa-428	168	77	)	)	PUNCT
ijassa-428	168	78	.	.	PUNCT
ijassa-428	169	1	(	(	PUNCT
ijassa-428	169	2	46	46	NUM
ijassa-428	169	3	)	)	SYM
ijassa-428	169	4	4	4	NUM
ijassa-428	169	5	conclusions	conclusion	NOUN
ijassa-428	169	6	and	and	CCONJ
ijassa-428	169	7	directions	direction	NOUN
ijassa-428	169	8	for	for	ADP
ijassa-428	169	9	future	future	ADJ
ijassa-428	169	10	research	research	NOUN
ijassa-428	169	11	in	in	ADP
ijassa-428	169	12	this	this	DET
ijassa-428	169	13	paper	paper	NOUN
ijassa-428	169	14	,	,	PUNCT
ijassa-428	169	15	we	we	PRON
ijassa-428	169	16	propose	propose	VERB
ijassa-428	169	17	a	a	DET
ijassa-428	169	18	new	new	ADJ
ijassa-428	169	19	technique	technique	NOUN
ijassa-428	169	20	to	to	PART
ijassa-428	169	21	improve	improve	VERB
ijassa-428	169	22	or	or	CCONJ
ijassa-428	169	23	optimize	optimize	VERB
ijassa-428	169	24	statistical	statistical	ADJ
ijassa-428	169	25	decisions	decision	NOUN
ijassa-428	169	26	under	under	ADP
ijassa-428	169	27	parametric	parametric	ADJ
ijassa-428	169	28	uncertainty	uncertainty	NOUN
ijassa-428	169	29	.	.	PUNCT
ijassa-428	170	1	the	the	DET
ijassa-428	170	2	method	method	NOUN
ijassa-428	170	3	used	use	VERB
ijassa-428	170	4	is	be	AUX
ijassa-428	170	5	that	that	PRON
ijassa-428	170	6	of	of	ADP
ijassa-428	170	7	the	the	DET
ijassa-428	170	8	invariant	invariant	ADJ
ijassa-428	170	9	embedding	embedding	NOUN
ijassa-428	170	10	of	of	ADP
ijassa-428	170	11	sample	sample	NOUN
ijassa-428	170	12	statistics	statistic	NOUN
ijassa-428	170	13	in	in	ADP
ijassa-428	170	14	a	a	DET
ijassa-428	170	15	performance	performance	NOUN
ijassa-428	170	16	index	index	NOUN
ijassa-428	170	17	in	in	ADP
ijassa-428	170	18	order	order	NOUN
ijassa-428	170	19	to	to	PART
ijassa-428	170	20	form	form	VERB
ijassa-428	170	21	pivotal	pivotal	ADJ
ijassa-428	170	22	quantities	quantity	NOUN
ijassa-428	170	23	,	,	PUNCT
ijassa-428	170	24	which	which	PRON
ijassa-428	170	25	make	make	VERB
ijassa-428	170	26	it	it	PRON
ijassa-428	170	27	possible	possible	ADJ
ijassa-428	170	28	to	to	PART
ijassa-428	170	29	eliminate	eliminate	VERB
ijassa-428	170	30	unknown	unknown	ADJ
ijassa-428	170	31	parameters	parameter	NOUN
ijassa-428	170	32	(	(	PUNCT
ijassa-428	170	33	i.e.	i.e.	X
ijassa-428	170	34	,	,	PUNCT
ijassa-428	170	35	parametric	parametric	ADJ
ijassa-428	170	36	uncertainty	uncertainty	NOUN
ijassa-428	170	37	)	)	PUNCT
ijassa-428	170	38	from	from	ADP
ijassa-428	170	39	the	the	DET
ijassa-428	170	40	problem	problem	NOUN
ijassa-428	170	41	.	.	PUNCT
ijassa-428	171	1	it	it	PRON
ijassa-428	171	2	is	be	AUX
ijassa-428	171	3	especially	especially	ADV
ijassa-428	171	4	efficient	efficient	ADJ
ijassa-428	171	5	when	when	SCONJ
ijassa-428	171	6	we	we	PRON
ijassa-428	171	7	deal	deal	VERB
ijassa-428	171	8	with	with	ADP
ijassa-428	171	9	asymmetric	asymmetric	ADJ
ijassa-428	171	10	performance	performance	NOUN
ijassa-428	171	11	indexes	index	NOUN
ijassa-428	171	12	and	and	CCONJ
ijassa-428	171	13	small	small	ADJ
ijassa-428	171	14	data	datum	NOUN
ijassa-428	171	15	samples	sample	NOUN
ijassa-428	171	16	.	.	PUNCT
ijassa-428	172	1	more	more	ADJ
ijassa-428	172	2	work	work	NOUN
ijassa-428	172	3	is	be	AUX
ijassa-428	172	4	needed	need	VERB
ijassa-428	172	5	,	,	PUNCT
ijassa-428	172	6	however	however	ADV
ijassa-428	172	7	,	,	PUNCT
ijassa-428	172	8	to	to	PART
ijassa-428	172	9	obtain	obtain	VERB
ijassa-428	172	10	improved	improved	ADJ
ijassa-428	172	11	or	or	CCONJ
ijassa-428	172	12	optimal	optimal	ADJ
ijassa-428	172	13	decision	decision	NOUN
ijassa-428	172	14	rules	rule	NOUN
ijassa-428	172	15	for	for	ADP
ijassa-428	172	16	the	the	DET
ijassa-428	172	17	problems	problem	NOUN
ijassa-428	172	18	of	of	ADP
ijassa-428	172	19	unconstrained	unconstrained	ADJ
ijassa-428	172	20	and	and	CCONJ
ijassa-428	172	21	constrained	constrained	ADJ
ijassa-428	172	22	optimization	optimization	NOUN
ijassa-428	172	23	under	under	ADP
ijassa-428	172	24	parameter	parameter	NOUN
ijassa-428	172	25	uncertainty	uncertainty	NOUN
ijassa-428	172	26	when	when	SCONJ
ijassa-428	172	27	:	:	PUNCT
ijassa-428	172	28	(	(	PUNCT
ijassa-428	172	29	i	i	NOUN
ijassa-428	172	30	)	)	PUNCT
ijassa-428	172	31	the	the	DET
ijassa-428	172	32	observations	observation	NOUN
ijassa-428	172	33	are	be	AUX
ijassa-428	172	34	from	from	ADP
ijassa-428	172	35	general	general	ADJ
ijassa-428	172	36	continuous	continuous	ADJ
ijassa-428	172	37	exponential	exponential	ADJ
ijassa-428	172	38	families	family	NOUN
ijassa-428	172	39	of	of	ADP
ijassa-428	172	40	distributions	distribution	NOUN
ijassa-428	172	41	,	,	PUNCT
ijassa-428	172	42	(	(	PUNCT
ijassa-428	172	43	ii	ii	NOUN
ijassa-428	172	44	)	)	PUNCT
ijassa-428	172	45	the	the	DET
ijassa-428	172	46	observations	observation	NOUN
ijassa-428	172	47	are	be	AUX
ijassa-428	172	48	from	from	ADP
ijassa-428	172	49	discrete	discrete	ADJ
ijassa-428	172	50	exponential	exponential	ADJ
ijassa-428	172	51	families	family	NOUN
ijassa-428	172	52	of	of	ADP
ijassa-428	172	53	distributions	distribution	NOUN
ijassa-428	172	54	,	,	PUNCT
ijassa-428	172	55	(	(	PUNCT
ijassa-428	172	56	iii	iii	X
ijassa-428	172	57	)	)	PUNCT
ijassa-428	172	58	some	some	PRON
ijassa-428	172	59	of	of	ADP
ijassa-428	172	60	the	the	DET
ijassa-428	172	61	observations	observation	NOUN
ijassa-428	172	62	are	be	AUX
ijassa-428	172	63	from	from	ADP
ijassa-428	172	64	continuous	continuous	ADJ
ijassa-428	172	65	exponential	exponential	ADJ
ijassa-428	172	66	families	family	NOUN
ijassa-428	172	67	of	of	ADP
ijassa-428	172	68	distributions	distribution	NOUN
ijassa-428	172	69	and	and	CCONJ
ijassa-428	172	70	some	some	PRON
ijassa-428	172	71	from	from	ADP
ijassa-428	172	72	discrete	discrete	ADJ
ijassa-428	172	73	exponential	exponential	ADJ
ijassa-428	172	74	families	family	NOUN
ijassa-428	172	75	of	of	ADP
ijassa-428	172	76	distributions	distribution	NOUN
ijassa-428	172	77	,	,	PUNCT
ijassa-428	172	78	(	(	PUNCT
ijassa-428	172	79	iv	iv	X
ijassa-428	172	80	)	)	PUNCT
ijassa-428	172	81	the	the	DET
ijassa-428	172	82	observations	observation	NOUN
ijassa-428	172	83	78	78	NUM
ijassa-428	172	84	konstantin	konstantin	PROPN
ijassa-428	172	85	n.	n.	PROPN
ijassa-428	172	86	nechval	nechval	PROPN
ijassa-428	172	87	:	:	PUNCT
ijassa-428	172	88	optimization	optimization	NOUN
ijassa-428	172	89	of	of	ADP
ijassa-428	172	90	statistical	statistical	ADJ
ijassa-428	172	91	decision	decision	NOUN
ijassa-428	172	92	for	for	ADP
ijassa-428	172	93	personnel	personnel	NOUN
ijassa-428	172	94	management	management	NOUN
ijassa-428	172	95	...	...	PUNCT
ijassa-428	172	96	are	be	AUX
ijassa-428	172	97	from	from	ADP
ijassa-428	172	98	multiparametric	multiparametric	ADJ
ijassa-428	172	99	or	or	CCONJ
ijassa-428	172	100	multidimensional	multidimensional	ADJ
ijassa-428	172	101	distributions	distribution	NOUN
ijassa-428	172	102	,	,	PUNCT
ijassa-428	172	103	(	(	PUNCT
ijassa-428	172	104	v	v	NOUN
ijassa-428	172	105	)	)	PUNCT
ijassa-428	172	106	the	the	DET
ijassa-428	172	107	observations	observation	NOUN
ijassa-428	172	108	are	be	AUX
ijassa-428	172	109	from	from	ADP
ijassa-428	172	110	truncated	truncated	ADJ
ijassa-428	172	111	distributions	distribution	NOUN
ijassa-428	172	112	,	,	PUNCT
ijassa-428	172	113	(	(	PUNCT
ijassa-428	172	114	vi	vi	X
ijassa-428	172	115	)	)	PUNCT
ijassa-428	172	116	the	the	DET
ijassa-428	172	117	observations	observation	NOUN
ijassa-428	172	118	are	be	AUX
ijassa-428	172	119	censored	censor	VERB
ijassa-428	172	120	,	,	PUNCT
ijassa-428	172	121	(	(	PUNCT
ijassa-428	172	122	vii	vii	PROPN
ijassa-428	172	123	)	)	PUNCT
ijassa-428	172	124	the	the	DET
ijassa-428	172	125	censored	censor	VERB
ijassa-428	172	126	observations	observation	NOUN
ijassa-428	172	127	are	be	AUX
ijassa-428	172	128	from	from	ADP
ijassa-428	172	129	truncated	truncated	ADJ
ijassa-428	172	130	distributions	distribution	NOUN
ijassa-428	172	131	.	.	PUNCT
ijassa-428	173	1	references	reference	NOUN
ijassa-428	173	2	[	[	X
ijassa-428	173	3	1	1	NUM
ijassa-428	173	4	]	]	X
ijassa-428	173	5	conrad	conrad	PROPN
ijassa-428	173	6	s.a	s.a	PROPN
ijassa-428	173	7	.	.	PROPN
ijassa-428	173	8	(	(	PUNCT
ijassa-428	173	9	1976	1976	NUM
ijassa-428	173	10	)	)	PUNCT
ijassa-428	173	11	,	,	PUNCT
ijassa-428	173	12	“	"	PUNCT
ijassa-428	173	13	data	datum	NOUN
ijassa-428	173	14	and	and	CCONJ
ijassa-428	173	15	the	the	DET
ijassa-428	173	16	estimation	estimation	NOUN
ijassa-428	173	17	of	of	ADP
ijassa-428	173	18	demand	demand	NOUN
ijassa-428	173	19	”	"	PUNCT
ijassa-428	173	20	,	,	PUNCT
ijassa-428	173	21	oper	oper	PROPN
ijassa-428	173	22	.	.	PUNCT
ijassa-428	173	23	res	res	PROPN
ijassa-428	173	24	.	.	PUNCT
ijassa-428	174	1	quart	quart	PROPN
ijassa-428	174	2	,	,	PUNCT
ijassa-428	174	3	vol.27	vol.27	NOUN
ijassa-428	174	4	,	,	PUNCT
ijassa-428	174	5	pp.123	pp.123	NOUN
ijassa-428	174	6	-	-	PUNCT
ijassa-428	174	7	127	127	NUM
ijassa-428	174	8	.	.	PUNCT
ijassa-428	175	1	[	[	X
ijassa-428	175	2	2	2	NUM
ijassa-428	175	3	]	]	PUNCT
ijassa-428	175	4	liyanage	liyanage	NOUN
ijassa-428	175	5	l.h	l.h	PROPN
ijassa-428	175	6	,	,	PUNCT
ijassa-428	175	7	shanthikumarj.g	shanthikumarj.g	PROPN
ijassa-428	175	8	.	.	PUNCT
ijassa-428	176	1	(	(	PUNCT
ijassa-428	176	2	2005	2005	NUM
ijassa-428	176	3	)	)	PUNCT
ijassa-428	176	4	,	,	PUNCT
ijassa-428	176	5	“	"	PUNCT
ijassa-428	176	6	a	a	DET
ijassa-428	176	7	practical	practical	ADJ
ijassa-428	176	8	inventory	inventory	NOUN
ijassa-428	176	9	policy	policy	NOUN
ijassa-428	176	10	using	use	VERB
ijassa-428	176	11	operational	operational	ADJ
ijassa-428	176	12	statistics	statistic	NOUN
ijassa-428	176	13	”	"	PUNCT
ijassa-428	176	14	,	,	PUNCT
ijassa-428	176	15	operations	operation	NOUN
ijassa-428	176	16	research	research	NOUN
ijassa-428	176	17	letters	letter	NOUN
ijassa-428	176	18	,	,	PUNCT
ijassa-428	176	19	vol.33	vol.33	PRON
ijassa-428	176	20	,	,	PUNCT
ijassa-428	176	21	pp.341	pp.341	NOUN
ijassa-428	176	22	-	-	NOUN
ijassa-428	176	23	348	348	NUM
ijassa-428	176	24	.	.	PUNCT
ijassa-428	177	1	[	[	X
ijassa-428	177	2	3	3	X
ijassa-428	177	3	]	]	X
ijassa-428	177	4	scarf	scarf	PROPN
ijassa-428	177	5	h.	h.	PROPN
ijassa-428	177	6	(	(	PUNCT
ijassa-428	177	7	1959	1959	NUM
ijassa-428	177	8	)	)	PUNCT
ijassa-428	177	9	,	,	PUNCT
ijassa-428	177	10	“	"	PUNCT
ijassa-428	177	11	bayes	bayes	PROPN
ijassa-428	177	12	solutions	solution	NOUN
ijassa-428	177	13	of	of	ADP
ijassa-428	177	14	statistical	statistical	ADJ
ijassa-428	177	15	inventory	inventory	NOUN
ijassa-428	177	16	problem	problem	NOUN
ijassa-428	177	17	”	"	PUNCT
ijassa-428	177	18	,	,	PUNCT
ijassa-428	177	19	ann	ann	PROPN
ijassa-428	177	20	.	.	PROPN
ijassa-428	177	21	math	math	PROPN
ijassa-428	177	22	.	.	PUNCT
ijassa-428	178	1	statist	statist	PROPN
ijassa-428	178	2	,	,	PUNCT
ijassa-428	178	3	vol.30	vol.30	NOUN
ijassa-428	178	4	,	,	PUNCT
ijassa-428	178	5	pp.490	pp.490	PROPN
ijassa-428	178	6	-	-	X
ijassa-428	178	7	508	508	NUM
ijassa-428	178	8	.	.	PUNCT
ijassa-428	179	1	[	[	X
ijassa-428	179	2	4	4	X
ijassa-428	179	3	]	]	X
ijassa-428	179	4	chu	chu	PROPN
ijassa-428	179	5	l.y	l.y	PROPN
ijassa-428	179	6	,	,	PUNCT
ijassa-428	179	7	shanthikumar	shanthikumar	PROPN
ijassa-428	179	8	j.g	j.g	PROPN
ijassa-428	179	9	,	,	PUNCT
ijassa-428	179	10	shen	shen	NOUN
ijassa-428	179	11	z.j.m	z.j.m	PROPN
ijassa-428	179	12	.	.	PUNCT
ijassa-428	179	13	(	(	PUNCT
ijassa-428	179	14	2008	2008	NUM
ijassa-428	179	15	)	)	PUNCT
ijassa-428	179	16	,	,	PUNCT
ijassa-428	179	17	“	"	PUNCT
ijassa-428	179	18	solving	solve	VERB
ijassa-428	179	19	operational	operational	ADJ
ijassa-428	179	20	statistics	statistic	NOUN
ijassa-428	179	21	via	via	ADP
ijassa-428	179	22	a	a	DET
ijassa-428	179	23	bayesian	bayesian	NOUN
ijassa-428	179	24	analysis	analysis	NOUN
ijassa-428	179	25	”	"	PUNCT
ijassa-428	179	26	,	,	PUNCT
ijassa-428	179	27	operations	operation	NOUN
ijassa-428	179	28	research	research	NOUN
ijassa-428	179	29	letters	letter	NOUN
ijassa-428	179	30	,	,	PUNCT
ijassa-428	179	31	vol.36	vol.36	ADP
ijassa-428	179	32	,	,	PUNCT
ijassa-428	179	33	pp.110	pp.110	NOUN
ijassa-428	179	34	-	-	PUNCT
ijassa-428	179	35	116	116	NUM
ijassa-428	179	36	.	.	PUNCT
ijassa-428	180	1	[	[	X
ijassa-428	180	2	5	5	NUM
ijassa-428	180	3	]	]	PUNCT
ijassa-428	180	4	bookbinder	bookbinder	PROPN
ijassa-428	180	5	j.h	j.h	PROPN
ijassa-428	180	6	,	,	PUNCT
ijassa-428	180	7	lordahl	lordahl	PROPN
ijassa-428	180	8	a.e	a.e	PROPN
ijassa-428	180	9	.	.	PROPN
ijassa-428	180	10	(	(	PUNCT
ijassa-428	180	11	1989	1989	NUM
ijassa-428	180	12	)	)	PUNCT
ijassa-428	180	13	,	,	PUNCT
ijassa-428	180	14	“	"	PUNCT
ijassa-428	180	15	estimation	estimation	NOUN
ijassa-428	180	16	of	of	ADP
ijassa-428	180	17	inventory	inventory	NOUN
ijassa-428	180	18	reorder	reorder	NOUN
ijassa-428	180	19	level	level	NOUN
ijassa-428	180	20	using	use	VERB
ijassa-428	180	21	the	the	DET
ijassa-428	180	22	bootstrap	bootstrap	NOUN
ijassa-428	180	23	statistical	statistical	ADJ
ijassa-428	180	24	procedure	procedure	NOUN
ijassa-428	180	25	”	"	PUNCT
ijassa-428	180	26	,	,	PUNCT
ijassa-428	180	27	iie	iie	PROPN
ijassa-428	180	28	trans	trans	PROPN
ijassa-428	180	29	,	,	PUNCT
ijassa-428	180	30	vol.21	vol.21	NOUN
ijassa-428	180	31	,	,	PUNCT
ijassa-428	180	32	pp.302	pp.302	NOUN
ijassa-428	180	33	-	-	PUNCT
ijassa-428	180	34	312	312	NUM
ijassa-428	180	35	.	.	PUNCT
ijassa-428	181	1	[	[	X
ijassa-428	181	2	6	6	NUM
ijassa-428	181	3	]	]	X
ijassa-428	181	4	scarf	scarf	PROPN
ijassa-428	181	5	h.	h.	NOUN
ijassa-428	181	6	(	(	PUNCT
ijassa-428	181	7	1958	1958	NUM
ijassa-428	181	8	)	)	PUNCT
ijassa-428	181	9	,	,	PUNCT
ijassa-428	181	10	a	a	DET
ijassa-428	181	11	min	min	ADJ
ijassa-428	181	12	-	-	ADJ
ijassa-428	181	13	max	max	ADJ
ijassa-428	181	14	solution	solution	NOUN
ijassa-428	181	15	of	of	ADP
ijassa-428	181	16	an	an	DET
ijassa-428	181	17	inventory	inventory	NOUN
ijassa-428	181	18	problem	problem	NOUN
ijassa-428	181	19	.	.	PUNCT
ijassa-428	182	1	studies	study	NOUN
ijassa-428	182	2	in	in	ADP
ijassa-428	182	3	the	the	DET
ijassa-428	182	4	mathematical	mathematical	ADJ
ijassa-428	182	5	theory	theory	NOUN
ijassa-428	182	6	of	of	ADP
ijassa-428	182	7	inventory	inventory	NOUN
ijassa-428	182	8	and	and	CCONJ
ijassa-428	182	9	production	production	NOUN
ijassa-428	182	10	(	(	PUNCT
ijassa-428	182	11	chapter	chapter	NOUN
ijassa-428	182	12	12	12	NUM
ijassa-428	182	13	)	)	PUNCT
ijassa-428	182	14	,	,	PUNCT
ijassa-428	182	15	stanford	stanford	PROPN
ijassa-428	182	16	:	:	PUNCT
ijassa-428	182	17	stanford	stanford	PROPN
ijassa-428	182	18	university	university	PROPN
ijassa-428	182	19	press	press	NOUN
ijassa-428	182	20	.	.	PUNCT
ijassa-428	183	1	[	[	X
ijassa-428	183	2	7	7	X
ijassa-428	183	3	]	]	X
ijassa-428	183	4	gallego	gallego	NOUN
ijassa-428	183	5	g	g	PROPN
ijassa-428	183	6	,	,	PUNCT
ijassa-428	183	7	moon	moon	NOUN
ijassa-428	183	8	i.	i.	NOUN
ijassa-428	183	9	(	(	PUNCT
ijassa-428	183	10	1993	1993	NUM
ijassa-428	183	11	)	)	PUNCT
ijassa-428	183	12	,	,	PUNCT
ijassa-428	183	13	“	"	PUNCT
ijassa-428	183	14	the	the	DET
ijassa-428	183	15	distribution	distribution	NOUN
ijassa-428	183	16	free	free	ADJ
ijassa-428	183	17	newsvendor	newsvendor	PROPN
ijassa-428	183	18	problem	problem	NOUN
ijassa-428	183	19	:	:	PUNCT
ijassa-428	183	20	review	review	NOUN
ijassa-428	183	21	and	and	CCONJ
ijassa-428	183	22	extensions	extension	NOUN
ijassa-428	183	23	”	"	PUNCT
ijassa-428	183	24	,	,	PUNCT
ijassa-428	183	25	j.	j.	PROPN
ijassa-428	183	26	oper	oper	PROPN
ijassa-428	183	27	.	.	PUNCT
ijassa-428	184	1	res	res	PROPN
ijassa-428	184	2	.	.	PROPN
ijassa-428	185	1	soc	soc	PROPN
ijassa-428	185	2	,	,	PUNCT
ijassa-428	185	3	vol.44	vol.44	NOUN
ijassa-428	185	4	,	,	PUNCT
ijassa-428	185	5	pp.825	pp.825	PROPN
ijassa-428	185	6	-	-	PUNCT
ijassa-428	185	7	834	834	NUM
ijassa-428	185	8	.	.	PUNCT
ijassa-428	186	1	[	[	X
ijassa-428	186	2	8	8	NUM
ijassa-428	186	3	]	]	X
ijassa-428	186	4	nechval	nechval	PROPN
ijassa-428	186	5	n.	n.	PROPN
ijassa-428	186	6	a	a	PROPN
ijassa-428	186	7	,	,	PUNCT
ijassa-428	186	8	vasermanis	vasermanis	PROPN
ijassa-428	186	9	e.	e.	PROPN
ijassa-428	186	10	k.	k.	PROPN
ijassa-428	186	11	(	(	PUNCT
ijassa-428	186	12	2004	2004	NUM
ijassa-428	186	13	)	)	PUNCT
ijassa-428	186	14	,	,	PUNCT
ijassa-428	186	15	improved	improve	VERB
ijassa-428	186	16	decisions	decision	NOUN
ijassa-428	186	17	in	in	ADP
ijassa-428	186	18	statistics	statistic	NOUN
ijassa-428	186	19	,	,	PUNCT
ijassa-428	186	20	riga	riga	PROPN
ijassa-428	186	21	:	:	PUNCT
ijassa-428	186	22	izglitibas	izglitibas	PROPN
ijassa-428	186	23	soli	soli	ADV
ijassa-428	186	24	.	.	PUNCT
ijassa-428	187	1	[	[	X
ijassa-428	187	2	9	9	NUM
ijassa-428	187	3	]	]	X
ijassa-428	187	4	nechval	nechval	PROPN
ijassa-428	187	5	n.a	n.a	PROPN
ijassa-428	187	6	,	,	PUNCT
ijassa-428	187	7	berzins	berzin	VERB
ijassa-428	187	8	g	g	PROPN
ijassa-428	187	9	,	,	PUNCT
ijassa-428	187	10	purgailis	purgailis	PROPN
ijassa-428	187	11	m	m	PROPN
ijassa-428	187	12	,	,	PUNCT
ijassa-428	187	13	nechval	nechval	PROPN
ijassa-428	187	14	k.n	k.n	PROPN
ijassa-428	187	15	.	.	PROPN
ijassa-428	187	16	(	(	PUNCT
ijassa-428	187	17	2008	2008	NUM
ijassa-428	187	18	)	)	PUNCT
ijassa-428	187	19	,	,	PUNCT
ijassa-428	187	20	“	"	PUNCT
ijassa-428	187	21	improved	improved	ADJ
ijassa-428	187	22	estimation	estimation	NOUN
ijassa-428	187	23	of	of	ADP
ijassa-428	187	24	state	state	NOUN
ijassa-428	187	25	of	of	ADP
ijassa-428	187	26	stochastic	stochastic	ADJ
ijassa-428	187	27	systems	system	NOUN
ijassa-428	187	28	via	via	ADP
ijassa-428	187	29	invariant	invariant	ADJ
ijassa-428	187	30	embedding	embed	VERB
ijassa-428	187	31	technique	technique	NOUN
ijassa-428	187	32	”	"	PUNCT
ijassa-428	187	33	,	,	PUNCT
ijassa-428	187	34	wseas	wsea	VERB
ijassa-428	187	35	transactions	transaction	NOUN
ijassa-428	187	36	on	on	ADP
ijassa-428	187	37	mathematics	mathematic	NOUN
ijassa-428	187	38	,	,	PUNCT
ijassa-428	187	39	vol.7	vol.7	PROPN
ijassa-428	187	40	,	,	PUNCT
ijassa-428	187	41	pp.141	pp.141	NOUN
ijassa-428	187	42	-	-	X
ijassa-428	187	43	159	159	NUM
ijassa-428	187	44	.	.	PUNCT
ijassa-428	188	1	[	[	X
ijassa-428	188	2	10	10	NUM
ijassa-428	188	3	]	]	X
ijassa-428	188	4	nechval	nechval	PROPN
ijassa-428	188	5	n.a	n.a	PROPN
ijassa-428	188	6	,	,	PUNCT
ijassa-428	188	7	berzins	berzin	VERB
ijassa-428	188	8	g	g	PROPN
ijassa-428	188	9	,	,	PUNCT
ijassa-428	188	10	purgailis	purgailis	PROPN
ijassa-428	188	11	m	m	PROPN
ijassa-428	188	12	,	,	PUNCT
ijassa-428	188	13	nechval	nechval	PROPN
ijassa-428	188	14	k.n	k.n	PROPN
ijassa-428	188	15	,	,	PUNCT
ijassa-428	188	16	zolova	zolova	PROPN
ijassa-428	188	17	n.	n.	PROPN
ijassa-428	188	18	(	(	PUNCT
ijassa-428	188	19	2009	2009	NUM
ijassa-428	188	20	)	)	PUNCT
ijassa-428	188	21	,	,	PUNCT
ijassa-428	188	22	“	"	PUNCT
ijassa-428	188	23	improved	improve	VERB
ijassa-428	188	24	adaptive	adaptive	ADJ
ijassa-428	188	25	control	control	NOUN
ijassa-428	188	26	of	of	ADP
ijassa-428	188	27	stochastic	stochastic	ADJ
ijassa-428	188	28	systems	system	NOUN
ijassa-428	188	29	”	"	PUNCT
ijassa-428	188	30	,	,	PUNCT
ijassa-428	188	31	advances	advance	NOUN
ijassa-428	188	32	in	in	ADP
ijassa-428	188	33	systems	system	NOUN
ijassa-428	188	34	science	science	NOUN
ijassa-428	188	35	and	and	CCONJ
ijassa-428	188	36	applications	application	NOUN
ijassa-428	188	37	,	,	PUNCT
ijassa-428	188	38	vol.9	vol.9	PROPN
ijassa-428	188	39	,	,	PUNCT
ijassa-428	188	40	pp.11	pp.11	NOUN
ijassa-428	188	41	-	-	PUNCT
ijassa-428	188	42	20	20	NUM
ijassa-428	188	43	.	.	PUNCT
ijassa-428	189	1	[	[	X
ijassa-428	189	2	11	11	NUM
ijassa-428	189	3	]	]	X
ijassa-428	189	4	nechval	nechval	PROPN
ijassa-428	189	5	n.a	n.a	PROPN
ijassa-428	189	6	,	,	PUNCT
ijassa-428	189	7	nechval	nechval	PROPN
ijassa-428	189	8	k.n	k.n	PROPN
ijassa-428	189	9	,	,	PUNCT
ijassa-428	189	10	danovich	danovich	NOUN
ijassa-428	189	11	v	v	NOUN
ijassa-428	189	12	,	,	PUNCT
ijassa-428	189	13	liepins	liepin	NOUN
ijassa-428	189	14	t.	t.	PROPN
ijassa-428	189	15	(	(	PUNCT
ijassa-428	189	16	2011	2011	NUM
ijassa-428	189	17	)	)	PUNCT
ijassa-428	189	18	,	,	PUNCT
ijassa-428	189	19	“	"	PUNCT
ijassa-428	189	20	optimization	optimization	NOUN
ijassa-428	189	21	of	of	ADP
ijassa-428	189	22	new	new	ADJ
ijassa-428	189	23	-	-	PUNCT
ijassa-428	189	24	sample	sample	NOUN
ijassa-428	189	25	and	and	CCONJ
ijassa-428	189	26	within	within	ADP
ijassa-428	189	27	-	-	PUNCT
ijassa-428	189	28	sample	sample	NOUN
ijassa-428	189	29	prediction	prediction	NOUN
ijassa-428	189	30	intervals	interval	NOUN
ijassa-428	189	31	for	for	ADP
ijassa-428	189	32	order	order	NOUN
ijassa-428	189	33	statistics	statistic	NOUN
ijassa-428	189	34	”	"	PUNCT
ijassa-428	189	35	,	,	PUNCT
ijassa-428	189	36	in	in	ADP
ijassa-428	189	37	:	:	PUNCT
ijassa-428	189	38	proceedings	proceeding	NOUN
ijassa-428	189	39	of	of	ADP
ijassa-428	189	40	the	the	DET
ijassa-428	189	41	2011	2011	NUM
ijassa-428	189	42	world	world	PROPN
ijassa-428	189	43	congress	congress	PROPN
ijassa-428	189	44	in	in	ADP
ijassa-428	189	45	computer	computer	NOUN
ijassa-428	189	46	science	science	NOUN
ijassa-428	189	47	,	,	PUNCT
ijassa-428	189	48	computer	computer	NOUN
ijassa-428	189	49	engineering	engineering	NOUN
ijassa-428	189	50	,	,	PUNCT
ijassa-428	189	51	and	and	CCONJ
ijassa-428	189	52	applied	applied	ADJ
ijassa-428	189	53	computing	computing	NOUN
ijassa-428	189	54	,	,	PUNCT
ijassa-428	189	55	worldcomp’11	worldcomp’11	PROPN
ijassa-428	189	56	,	,	PUNCT
ijassa-428	189	57	18	18	NUM
ijassa-428	189	58	-	-	SYM
ijassa-428	189	59	21	21	NUM
ijassa-428	189	60	july	july	PROPN
ijassa-428	189	61	,	,	PUNCT
ijassa-428	189	62	2011	2011	NUM
ijassa-428	189	63	,	,	PUNCT
ijassa-428	189	64	las	las	PROPN
ijassa-428	189	65	vegas	vegas	PROPN
ijassa-428	189	66	,	,	PUNCT
ijassa-428	189	67	nevada	nevada	PROPN
ijassa-428	189	68	,	,	PUNCT
ijassa-428	189	69	usa	usa	PROPN
ijassa-428	189	70	,	,	PUNCT
ijassa-428	189	71	pp.91	pp.91	PROPN
ijassa-428	189	72	-	-	PUNCT
ijassa-428	189	73	97	97	NUM
ijassa-428	189	74	.	.	PUNCT
ijassa-428	189	75	advances	advance	NOUN
ijassa-428	189	76	in	in	ADP
ijassa-428	189	77	systems	system	NOUN
ijassa-428	189	78	science	science	NOUN
ijassa-428	189	79	and	and	CCONJ
ijassa-428	189	80	applications	application	NOUN
ijassa-428	189	81	(	(	PUNCT
ijassa-428	189	82	2013	2013	NUM
ijassa-428	189	83	)	)	PUNCT
ijassa-428	189	84	vol.13	vol.13	NOUN
ijassa-428	189	85	no.1	no.1	VERB
ijassa-428	189	86	79	79	NUM
ijassa-428	190	1	[	[	X
ijassa-428	190	2	12	12	NUM
ijassa-428	190	3	]	]	X
ijassa-428	190	4	nechval	nechval	PROPN
ijassa-428	190	5	n.a	n.a	PROPN
ijassa-428	190	6	,	,	PUNCT
ijassa-428	190	7	nechval	nechval	PROPN
ijassa-428	190	8	k.n	k.n	PROPN
ijassa-428	190	9	,	,	PUNCT
ijassa-428	190	10	purgailis	purgailis	PROPN
ijassa-428	190	11	m	m	PROPN
ijassa-428	190	12	,	,	PUNCT
ijassa-428	190	13	rozevskis	rozevskis	PROPN
ijassa-428	190	14	,	,	PUNCT
ijassa-428	190	15	u.	u.	PROPN
ijassa-428	190	16	(	(	PUNCT
ijassa-428	190	17	2012	2012	NUM
ijassa-428	190	18	)	)	PUNCT
ijassa-428	190	19	.	.	PUNCT
ijassa-428	191	1	“	"	PUNCT
ijassa-428	191	2	optimal	optimal	ADJ
ijassa-428	191	3	prediction	prediction	NOUN
ijassa-428	191	4	intervals	interval	NOUN
ijassa-428	191	5	for	for	ADP
ijassa-428	191	6	order	order	NOUN
ijassa-428	191	7	statistics	statistic	NOUN
ijassa-428	191	8	coming	come	VERB
ijassa-428	191	9	from	from	ADP
ijassa-428	191	10	location	location	NOUN
ijassa-428	191	11	-	-	PUNCT
ijassa-428	191	12	scale	scale	NOUN
ijassa-428	191	13	families	family	NOUN
ijassa-428	191	14	”	"	PUNCT
ijassa-428	191	15	,	,	PUNCT
ijassa-428	191	16	engineering	engineering	NOUN
ijassa-428	191	17	letters	letter	NOUN
ijassa-428	191	18	,	,	PUNCT
ijassa-428	191	19	vol.20	vol.20	NOUN
ijassa-428	191	20	,	,	PUNCT
ijassa-428	191	21	pp.353	pp.353	NOUN
ijassa-428	191	22	-	-	PUNCT
ijassa-428	191	23	362	362	NUM
ijassa-428	191	24	.	.	PUNCT
ijassa-428	192	1	[	[	X
ijassa-428	192	2	13	13	NUM
ijassa-428	192	3	]	]	X
ijassa-428	192	4	nechval	nechval	PROPN
ijassa-428	192	5	n.a	n.a	PROPN
ijassa-428	192	6	,	,	PUNCT
ijassa-428	192	7	purgailis	purgailis	PROPN
ijassa-428	192	8	m.	m.	NOUN
ijassa-428	192	9	(	(	PUNCT
ijassa-428	192	10	2012	2012	NUM
ijassa-428	192	11	)	)	PUNCT
ijassa-428	192	12	,	,	PUNCT
ijassa-428	192	13	“	"	PUNCT
ijassa-428	192	14	stochastic	stochastic	ADJ
ijassa-428	192	15	control	control	NOUN
ijassa-428	192	16	and	and	CCONJ
ijassa-428	192	17	improvement	improvement	NOUN
ijassa-428	192	18	of	of	ADP
ijassa-428	192	19	statistical	statistical	ADJ
ijassa-428	192	20	decisions	decision	NOUN
ijassa-428	192	21	in	in	ADP
ijassa-428	192	22	revenue	revenue	NOUN
ijassa-428	192	23	optimization	optimization	NOUN
ijassa-428	192	24	systems	system	NOUN
ijassa-428	192	25	”	"	PUNCT
ijassa-428	192	26	,	,	PUNCT
ijassa-428	192	27	in	in	ADP
ijassa-428	192	28	:	:	PUNCT
ijassa-428	192	29	stochastic	stochastic	ADJ
ijassa-428	192	30	modeling	modeling	NOUN
ijassa-428	192	31	and	and	CCONJ
ijassa-428	192	32	control	control	NOUN
ijassa-428	192	33	,	,	PUNCT
ijassa-428	192	34	ivan	ivan	PROPN
ijassa-428	192	35	ganchev	ganchev	PROPN
ijassa-428	192	36	ivanov	ivanov	PROPN
ijassa-428	192	37	(	(	PUNCT
ijassa-428	192	38	ed	ed	NOUN
ijassa-428	192	39	.	.	PUNCT
ijassa-428	192	40	)	)	PUNCT
ijassa-428	192	41	.	.	PUNCT
ijassa-428	193	1	croatia	croatia	PROPN
ijassa-428	193	2	:	:	PUNCT
ijassa-428	193	3	sciyo	sciyo	NOUN
ijassa-428	193	4	,	,	PUNCT
ijassa-428	193	5	pp.185	pp.185	NOUN
ijassa-428	193	6	-	-	SYM
ijassa-428	193	7	210	210	NUM
ijassa-428	193	8	.	.	PUNCT
ijassa-428	194	1	[	[	X
ijassa-428	194	2	14	14	NUM
ijassa-428	194	3	]	]	PUNCT
ijassa-428	194	4	bechtold	bechtold	NOUN
ijassa-428	194	5	s	s	PROPN
ijassa-428	194	6	,	,	PUNCT
ijassa-428	194	7	brusco	brusco	PROPN
ijassa-428	194	8	m	m	PROPN
ijassa-428	194	9	,	,	PUNCT
ijassa-428	194	10	showalter	showalter	PROPN
ijassa-428	194	11	m.	m.	PROPN
ijassa-428	194	12	(	(	PUNCT
ijassa-428	194	13	1991	1991	NUM
ijassa-428	194	14	)	)	PUNCT
ijassa-428	194	15	,	,	PUNCT
ijassa-428	194	16	“	"	PUNCT
ijassa-428	194	17	a	a	DET
ijassa-428	194	18	comparative	comparative	ADJ
ijassa-428	194	19	evaluation	evaluation	NOUN
ijassa-428	194	20	of	of	ADP
ijassa-428	194	21	labor	labor	NOUN
ijassa-428	194	22	tour	tour	NOUN
ijassa-428	194	23	scheduling	scheduling	NOUN
ijassa-428	194	24	methods	method	NOUN
ijassa-428	194	25	”	"	PUNCT
ijassa-428	194	26	,	,	PUNCT
ijassa-428	194	27	decision	decision	NOUN
ijassa-428	194	28	sciences	science	NOUN
ijassa-428	194	29	,	,	PUNCT
ijassa-428	194	30	vol.22	vol.22	NOUN
ijassa-428	194	31	,	,	PUNCT
ijassa-428	194	32	pp.683	pp.683	PROPN
ijassa-428	194	33	-	-	PUNCT
ijassa-428	194	34	699	699	NUM
ijassa-428	194	35	.	.	PUNCT
ijassa-428	195	1	[	[	X
ijassa-428	195	2	15	15	NUM
ijassa-428	195	3	]	]	X
ijassa-428	195	4	tien	tien	PROPN
ijassa-428	195	5	j	j	PROPN
ijassa-428	195	6	,	,	PUNCT
ijassa-428	195	7	kamiyama	kamiyama	PROPN
ijassa-428	195	8	a.	a.	NOUN
ijassa-428	195	9	(	(	PUNCT
ijassa-428	195	10	1982	1982	NUM
ijassa-428	195	11	)	)	PUNCT
ijassa-428	195	12	,	,	PUNCT
ijassa-428	195	13	“	"	PUNCT
ijassa-428	195	14	on	on	ADP
ijassa-428	195	15	manpower	manpower	NOUN
ijassa-428	195	16	scheduling	scheduling	NOUN
ijassa-428	195	17	algorithms	algorithm	NOUN
ijassa-428	195	18	”	"	PUNCT
ijassa-428	195	19	,	,	PUNCT
ijassa-428	195	20	siam	siam	PROPN
ijassa-428	195	21	review	review	PROPN
ijassa-428	195	22	,	,	PUNCT
ijassa-428	195	23	vol.24	vol.24	NOUN
ijassa-428	195	24	,	,	PUNCT
ijassa-428	195	25	pp.275	pp.275	PROPN
ijassa-428	195	26	-	-	PUNCT
ijassa-428	195	27	287	287	NUM
ijassa-428	195	28	.	.	PUNCT
ijassa-428	196	1	[	[	X
ijassa-428	196	2	16	16	NUM
ijassa-428	196	3	]	]	X
ijassa-428	196	4	bodin	bodin	PROPN
ijassa-428	196	5	l	l	PROPN
ijassa-428	196	6	,	,	PUNCT
ijassa-428	196	7	golden	golden	PROPN
ijassa-428	196	8	b	b	PROPN
ijassa-428	196	9	,	,	PUNCT
ijassa-428	196	10	assad	assad	PROPN
ijassa-428	196	11	a	a	PROPN
ijassa-428	196	12	,	,	PUNCT
ijassa-428	196	13	ball	ball	NOUN
ijassa-428	196	14	m.	m.	NOUN
ijassa-428	196	15	(	(	PUNCT
ijassa-428	196	16	1983	1983	NUM
ijassa-428	196	17	)	)	PUNCT
ijassa-428	196	18	,	,	PUNCT
ijassa-428	196	19	“	"	PUNCT
ijassa-428	196	20	routing	routing	NOUN
ijassa-428	196	21	and	and	CCONJ
ijassa-428	196	22	scheduling	scheduling	NOUN
ijassa-428	196	23	of	of	ADP
ijassa-428	196	24	vehicles	vehicle	NOUN
ijassa-428	196	25	and	and	CCONJ
ijassa-428	196	26	crews	crew	VERB
ijassa-428	196	27	the	the	DET
ijassa-428	196	28	state	state	NOUN
ijassa-428	196	29	of	of	ADP
ijassa-428	196	30	the	the	DET
ijassa-428	196	31	art	art	NOUN
ijassa-428	196	32	”	"	PUNCT
ijassa-428	196	33	,	,	PUNCT
ijassa-428	196	34	computers	computer	NOUN
ijassa-428	196	35	and	and	CCONJ
ijassa-428	196	36	operations	operation	NOUN
ijassa-428	196	37	research	research	NOUN
ijassa-428	196	38	,	,	PUNCT
ijassa-428	196	39	vol.10	vol.10	NOUN
ijassa-428	196	40	,	,	PUNCT
ijassa-428	196	41	pp.63	pp.63	NOUN
ijassa-428	196	42	-	-	NOUN
ijassa-428	196	43	211	211	NUM
ijassa-428	196	44	.	.	PUNCT
ijassa-428	197	1	[	[	X
ijassa-428	197	2	17	17	NUM
ijassa-428	197	3	]	]	X
ijassa-428	197	4	arabeyre	arabeyre	PROPN
ijassa-428	197	5	j	j	PROPN
ijassa-428	197	6	,	,	PUNCT
ijassa-428	197	7	fearnley	fearnley	PROPN
ijassa-428	197	8	j	j	PROPN
ijassa-428	197	9	,	,	PUNCT
ijassa-428	197	10	steiger	steiger	PROPN
ijassa-428	197	11	f	f	PROPN
ijassa-428	197	12	,	,	PUNCT
ijassa-428	197	13	teather	teather	PROPN
ijassa-428	197	14	w.	w.	PROPN
ijassa-428	197	15	(	(	PUNCT
ijassa-428	197	16	1969	1969	NUM
ijassa-428	197	17	)	)	PUNCT
ijassa-428	197	18	,	,	PUNCT
ijassa-428	197	19	“	"	PUNCT
ijassa-428	197	20	the	the	DET
ijassa-428	197	21	airline	airline	NOUN
ijassa-428	197	22	crew	crew	NOUN
ijassa-428	197	23	scheduling	scheduling	NOUN
ijassa-428	197	24	problem	problem	NOUN
ijassa-428	197	25	:	:	PUNCT
ijassa-428	197	26	a	a	DET
ijassa-428	197	27	survey	survey	NOUN
ijassa-428	197	28	”	"	PUNCT
ijassa-428	197	29	,	,	PUNCT
ijassa-428	197	30	transportation	transportation	NOUN
ijassa-428	197	31	science	science	NOUN
ijassa-428	197	32	,	,	PUNCT
ijassa-428	197	33	vol.3	vol.3	PROPN
ijassa-428	197	34	,	,	PUNCT
ijassa-428	197	35	pp.140	pp.140	PROPN
ijassa-428	197	36	-	-	PUNCT
ijassa-428	197	37	163	163	NUM
ijassa-428	197	38	.	.	PUNCT
ijassa-428	198	1	[	[	X
ijassa-428	198	2	18	18	NUM
ijassa-428	198	3	]	]	X
ijassa-428	198	4	gamache	gamache	PROPN
ijassa-428	198	5	m	m	PROPN
ijassa-428	198	6	,	,	PUNCT
ijassa-428	198	7	soumis	soumis	PROPN
ijassa-428	198	8	f.	f.	PROPN
ijassa-428	198	9	(	(	PUNCT
ijassa-428	198	10	1998	1998	NUM
ijassa-428	198	11	)	)	PUNCT
ijassa-428	198	12	,	,	PUNCT
ijassa-428	198	13	“	"	PUNCT
ijassa-428	198	14	a	a	DET
ijassa-428	198	15	method	method	NOUN
ijassa-428	198	16	for	for	ADP
ijassa-428	198	17	optimally	optimally	ADV
ijassa-428	198	18	solving	solve	VERB
ijassa-428	198	19	the	the	DET
ijassa-428	198	20	rostering	rostering	NOUN
ijassa-428	198	21	problem	problem	NOUN
ijassa-428	198	22	”	"	PUNCT
ijassa-428	198	23	,	,	PUNCT
ijassa-428	198	24	in	in	ADP
ijassa-428	198	25	:	:	PUNCT
ijassa-428	198	26	or	or	CCONJ
ijassa-428	198	27	in	in	ADP
ijassa-428	198	28	airline	airline	NOUN
ijassa-428	198	29	industry	industry	NOUN
ijassa-428	198	30	,	,	PUNCT
ijassa-428	198	31	g.	g.	PROPN
ijassa-428	198	32	yu	yu	PROPN
ijassa-428	198	33	(	(	PUNCT
ijassa-428	198	34	ed	ed	NOUN
ijassa-428	198	35	.	.	PUNCT
ijassa-428	198	36	)	)	PUNCT
ijassa-428	198	37	.	.	PUNCT
ijassa-428	199	1	boston	boston	PROPN
ijassa-428	199	2	:	:	PUNCT
ijassa-428	199	3	kluwer	kluwer	NOUN
ijassa-428	199	4	academic	academic	ADJ
ijassa-428	199	5	publishers	publisher	NOUN
ijassa-428	199	6	,	,	PUNCT
ijassa-428	199	7	pp.124	pp.124	NOUN
ijassa-428	199	8	-	-	PUNCT
ijassa-428	199	9	157	157	NUM
ijassa-428	199	10	.	.	PUNCT
ijassa-428	200	1	[	[	X
ijassa-428	200	2	19	19	NUM
ijassa-428	200	3	]	]	X
ijassa-428	200	4	wren	wren	PROPN
ijassa-428	200	5	a.	a.	NOUN
ijassa-428	200	6	(	(	PUNCT
ijassa-428	200	7	1981	1981	NUM
ijassa-428	200	8	)	)	PUNCT
ijassa-428	200	9	,	,	PUNCT
ijassa-428	200	10	“	"	PUNCT
ijassa-428	200	11	a	a	DET
ijassa-428	200	12	general	general	ADJ
ijassa-428	200	13	review	review	NOUN
ijassa-428	200	14	of	of	ADP
ijassa-428	200	15	the	the	DET
ijassa-428	200	16	use	use	NOUN
ijassa-428	200	17	of	of	ADP
ijassa-428	200	18	computers	computer	NOUN
ijassa-428	200	19	in	in	ADP
ijassa-428	200	20	scheduling	scheduling	NOUN
ijassa-428	200	21	buses	bus	NOUN
ijassa-428	200	22	and	and	CCONJ
ijassa-428	200	23	their	their	PRON
ijassa-428	200	24	crews	crew	NOUN
ijassa-428	200	25	”	"	PUNCT
ijassa-428	200	26	,	,	PUNCT
ijassa-428	200	27	in	in	ADP
ijassa-428	200	28	:	:	PUNCT
ijassa-428	200	29	computer	computer	NOUN
ijassa-428	200	30	scheduling	scheduling	NOUN
ijassa-428	200	31	of	of	ADP
ijassa-428	200	32	public	public	ADJ
ijassa-428	200	33	transport	transport	NOUN
ijassa-428	200	34	,	,	PUNCT
ijassa-428	200	35	urban	urban	ADJ
ijassa-428	200	36	passenger	passenger	NOUN
ijassa-428	200	37	vehicle	vehicle	NOUN
ijassa-428	200	38	and	and	CCONJ
ijassa-428	200	39	crew	crew	NOUN
ijassa-428	200	40	scheduling	scheduling	NOUN
ijassa-428	200	41	,	,	PUNCT
ijassa-428	200	42	a.	a.	NOUN
ijassa-428	200	43	wren	wren	NOUN
ijassa-428	200	44	(	(	PUNCT
ijassa-428	200	45	ed	ed	NOUN
ijassa-428	200	46	.	.	PUNCT
ijassa-428	200	47	)	)	PUNCT
ijassa-428	200	48	.	.	PUNCT
ijassa-428	201	1	north	north	NOUN
ijassa-428	201	2	-	-	PUNCT
ijassa-428	201	3	holland	holland	PROPN
ijassa-428	201	4	,	,	PUNCT
ijassa-428	201	5	amsterdam	amsterdam	PROPN
ijassa-428	201	6	,	,	PUNCT
ijassa-428	201	7	pp.3	pp.3	PROPN
ijassa-428	201	8	-	-	PUNCT
ijassa-428	201	9	16	16	NUM
ijassa-428	201	10	.	.	PUNCT
ijassa-428	202	1	[	[	X
ijassa-428	202	2	20	20	NUM
ijassa-428	202	3	]	]	X
ijassa-428	202	4	bradley	bradley	PROPN
ijassa-428	202	5	d.	d.	PROPN
ijassa-428	202	6	,	,	PUNCT
ijassa-428	202	7	martin	martin	PROPN
ijassa-428	202	8	j.	j.	PROPN
ijassa-428	202	9	(	(	PUNCT
ijassa-428	202	10	1991	1991	NUM
ijassa-428	202	11	)	)	PUNCT
ijassa-428	202	12	,	,	PUNCT
ijassa-428	202	13	“	"	PUNCT
ijassa-428	202	14	continuous	continuous	ADJ
ijassa-428	202	15	personnel	personnel	NOUN
ijassa-428	202	16	scheduling	scheduling	NOUN
ijassa-428	202	17	algorithms	algorithm	NOUN
ijassa-428	202	18	:	:	PUNCT
ijassa-428	202	19	a	a	DET
ijassa-428	202	20	literature	literature	NOUN
ijassa-428	202	21	review	review	NOUN
ijassa-428	202	22	”	"	PUNCT
ijassa-428	202	23	,	,	PUNCT
ijassa-428	202	24	journal	journal	NOUN
ijassa-428	202	25	of	of	ADP
ijassa-428	202	26	the	the	DET
ijassa-428	202	27	society	society	NOUN
ijassa-428	202	28	for	for	ADP
ijassa-428	202	29	health	health	NOUN
ijassa-428	202	30	systems	system	NOUN
ijassa-428	202	31	,	,	PUNCT
ijassa-428	202	32	vol.2	vol.2	PROPN
ijassa-428	202	33	,	,	PUNCT
ijassa-428	202	34	pp.2	pp.2	NOUN
ijassa-428	202	35	-	-	PUNCT
ijassa-428	202	36	8	8	NUM
ijassa-428	202	37	.	.	PUNCT
ijassa-428	203	1	[	[	X
ijassa-428	203	2	21	21	NUM
ijassa-428	203	3	]	]	X
ijassa-428	203	4	sitompul	sitompul	PROPN
ijassa-428	203	5	,	,	PUNCT
ijassa-428	203	6	d.	d.	PROPN
ijassa-428	203	7	,	,	PUNCT
ijassa-428	203	8	radhawa	radhawa	PROPN
ijassa-428	203	9	,	,	PUNCT
ijassa-428	203	10	s.	s.	PROPN
ijassa-428	203	11	(	(	PUNCT
ijassa-428	203	12	1990	1990	NUM
ijassa-428	203	13	)	)	PUNCT
ijassa-428	203	14	,	,	PUNCT
ijassa-428	203	15	“	"	PUNCT
ijassa-428	203	16	nurse	nurse	ADJ
ijassa-428	203	17	scheduling	scheduling	NOUN
ijassa-428	203	18	:	:	PUNCT
ijassa-428	203	19	a	a	DET
ijassa-428	203	20	state	state	NOUN
ijassa-428	203	21	-	-	PUNCT
ijassa-428	203	22	of	of	ADP
ijassa-428	203	23	-	-	PUNCT
ijassa-428	203	24	the	the	DET
ijassa-428	203	25	-	-	PUNCT
ijassa-428	203	26	art	art	NOUN
ijassa-428	203	27	review	review	NOUN
ijassa-428	203	28	”	"	PUNCT
ijassa-428	203	29	,	,	PUNCT
ijassa-428	203	30	journal	journal	NOUN
ijassa-428	203	31	of	of	ADP
ijassa-428	203	32	the	the	DET
ijassa-428	203	33	society	society	NOUN
ijassa-428	203	34	for	for	ADP
ijassa-428	203	35	health	health	NOUN
ijassa-428	203	36	systems	system	NOUN
ijassa-428	203	37	,	,	PUNCT
ijassa-428	203	38	vol.2	vol.2	PROPN
ijassa-428	203	39	,	,	PUNCT
ijassa-428	203	40	pp.62	pp.62	NOUN
ijassa-428	203	41	-	-	SYM
ijassa-428	203	42	72	72	NUM
ijassa-428	203	43	.	.	PUNCT
ijassa-428	204	1	[	[	X
ijassa-428	204	2	22	22	NUM
ijassa-428	204	3	]	]	X
ijassa-428	204	4	kaufmann	kaufmann	PROPN
ijassa-428	204	5	a	a	PROPN
ijassa-428	204	6	,	,	PUNCT
ijassa-428	204	7	faure	faure	PROPN
ijassa-428	204	8	r.	r.	PROPN
ijassa-428	204	9	(	(	PUNCT
ijassa-428	204	10	1968	1968	NUM
ijassa-428	204	11	)	)	PUNCT
ijassa-428	204	12	,	,	PUNCT
ijassa-428	204	13	introduction	introduction	NOUN
ijassa-428	204	14	to	to	ADP
ijassa-428	204	15	operations	operation	NOUN
ijassa-428	204	16	research	research	NOUN
ijassa-428	204	17	,	,	PUNCT
ijassa-428	204	18	new	new	PROPN
ijassa-428	204	19	york	york	PROPN
ijassa-428	204	20	:	:	PUNCT
ijassa-428	204	21	academic	academic	ADJ
ijassa-428	204	22	press	press	NOUN
ijassa-428	204	23	.	.	PUNCT
ijassa-428	205	1	corresponding	correspond	VERB
ijassa-428	205	2	author	author	NOUN
ijassa-428	205	3	author	author	NOUN
ijassa-428	205	4	can	can	AUX
ijassa-428	205	5	be	be	AUX
ijassa-428	205	6	contacted	contact	VERB
ijassa-428	205	7	at	at	ADP
ijassa-428	205	8	:	:	PUNCT
ijassa-428	205	9	nechval@junik.lv	nechval@junik.lv	PROPN
ijassa-428	205	10	.	.	PUNCT