id	sid	tid	token	lemma	pos
hjic-233	1	1	microsoft	microsoft	PROPN
hjic-233	1	2	word	word	NOUN
hjic-233	1	3	toc_r.doc	toc_r.doc	ADJ
hjic-233	1	4	hungarian	hungarian	ADJ
hjic-233	1	5	journal	journal	NOUN
hjic-233	1	6	of	of	ADP
hjic-233	1	7	industrial	industrial	ADJ
hjic-233	1	8	chemistry	chemistry	NOUN
hjic-233	1	9	veszprém	veszprém	NOUN
hjic-233	1	10	vol	vol	NOUN
hjic-233	1	11	.	.	PUNCT
hjic-233	2	1	37(2	37(2	PRON
hjic-233	2	2	)	)	PUNCT
hjic-233	3	1	pp	pp	ADP
hjic-233	3	2	.	.	PUNCT
hjic-233	4	1	89	89	NUM
hjic-233	4	2	-	-	SYM
hjic-233	4	3	94	94	NUM
hjic-233	4	4	(	(	PUNCT
hjic-233	4	5	2009	2009	NUM
hjic-233	4	6	)	)	PUNCT
hjic-233	4	7	probability	probability	NOUN
hjic-233	4	8	and	and	CCONJ
hjic-233	4	9	expected	expect	VERB
hjic-233	4	10	time	time	NOUN
hjic-233	4	11	of	of	ADP
hjic-233	4	12	emptying	empty	VERB
hjic-233	4	13	of	of	ADP
hjic-233	4	14	intermediate	intermediate	ADJ
hjic-233	4	15	storages	storage	NOUN
hjic-233	4	16	under	under	ADP
hjic-233	4	17	stochastic	stochastic	ADJ
hjic-233	4	18	operation	operation	NOUN
hjic-233	4	19	é	é	PROPN
hjic-233	4	20	.	.	PUNCT
hjic-233	4	21	orbán	orbán	NOUN
hjic-233	4	22	-	-	PUNCT
hjic-233	4	23	mihálykó1	mihálykó1	NOUN
hjic-233	4	24	,	,	PUNCT
hjic-233	4	25	b.	b.	PROPN
hjic-233	4	26	g.	g.	PROPN
hjic-233	4	27	lakatos2	lakatos2	PROPN
hjic-233	4	28	,	,	PUNCT
hjic-233	4	29	cs	cs	PROPN
hjic-233	4	30	.	.	PROPN
hjic-233	4	31	mihálykó1	mihálykó1	PROPN
hjic-233	4	32	,	,	PUNCT
hjic-233	4	33	l.	l.	PROPN
hjic-233	4	34	lucz1	lucz1	PROPN
hjic-233	5	1	1university	1university	NUM
hjic-233	5	2	of	of	ADP
hjic-233	5	3	pannonia	pannonia	NOUN
hjic-233	5	4	,	,	PUNCT
hjic-233	5	5	department	department	NOUN
hjic-233	5	6	of	of	ADP
hjic-233	5	7	mathematics	mathematic	NOUN
hjic-233	5	8	,	,	PUNCT
hjic-233	5	9	h-8200	h-8200	PROPN
hjic-233	5	10	veszprém	veszprém	NOUN
hjic-233	5	11	,	,	PUNCT
hjic-233	5	12	egyetem	egyetem	PROPN
hjic-233	5	13	u.	u.	PROPN
hjic-233	5	14	10	10	NUM
hjic-233	5	15	.	.	PUNCT
hjic-233	6	1	hungary	hungary	PROPN
hjic-233	6	2	e	e	NOUN
hjic-233	6	3	-	-	NOUN
hjic-233	6	4	mail	mail	NOUN
hjic-233	6	5	:	:	PUNCT
hjic-233	6	6	orbane@almos.uni-pannon.hu	orbane@almos.uni-pannon.hu	PROPN
hjic-233	6	7	2university	2university	NUM
hjic-233	6	8	of	of	ADP
hjic-233	6	9	pannonia	pannonia	PROPN
hjic-233	6	10	,	,	PUNCT
hjic-233	6	11	department	department	NOUN
hjic-233	6	12	of	of	ADP
hjic-233	6	13	process	process	NOUN
hjic-233	6	14	engineering	engineering	NOUN
hjic-233	6	15	,	,	PUNCT
hjic-233	6	16	h-8200	h-8200	PROPN
hjic-233	6	17	veszprém	veszprém	NOUN
hjic-233	6	18	,	,	PUNCT
hjic-233	6	19	egyetem	egyetem	PROPN
hjic-233	6	20	u.	u.	PROPN
hjic-233	6	21	10	10	NUM
hjic-233	6	22	.	.	PUNCT
hjic-233	7	1	hungary	hungary	PROPN
hjic-233	7	2	a	a	DET
hjic-233	7	3	mathematical	mathematical	ADJ
hjic-233	7	4	model	model	NOUN
hjic-233	7	5	for	for	ADP
hjic-233	7	6	the	the	DET
hjic-233	7	7	operation	operation	NOUN
hjic-233	7	8	of	of	ADP
hjic-233	7	9	an	an	DET
hjic-233	7	10	intermediate	intermediate	ADJ
hjic-233	7	11	storage	storage	NOUN
hjic-233	7	12	under	under	ADP
hjic-233	7	13	stochastic	stochastic	ADJ
hjic-233	7	14	operational	operational	ADJ
hjic-233	7	15	conditions	condition	NOUN
hjic-233	7	16	is	be	AUX
hjic-233	7	17	presented	present	VERB
hjic-233	7	18	.	.	PUNCT
hjic-233	8	1	the	the	DET
hjic-233	8	2	material	material	ADJ
hjic-233	8	3	input	input	NOUN
hjic-233	8	4	of	of	ADP
hjic-233	8	5	the	the	DET
hjic-233	8	6	storage	storage	NOUN
hjic-233	8	7	occurs	occur	VERB
hjic-233	8	8	at	at	ADP
hjic-233	8	9	randomly	randomly	ADV
hjic-233	8	10	,	,	PUNCT
hjic-233	8	11	both	both	CCONJ
hjic-233	8	12	in	in	ADP
hjic-233	8	13	terms	term	NOUN
hjic-233	8	14	of	of	ADP
hjic-233	8	15	time	time	NOUN
hjic-233	8	16	and	and	CCONJ
hjic-233	8	17	amount	amount	NOUN
hjic-233	8	18	of	of	ADP
hjic-233	8	19	material	material	NOUN
hjic-233	8	20	,	,	PUNCT
hjic-233	8	21	while	while	SCONJ
hjic-233	8	22	the	the	DET
hjic-233	8	23	output	output	NOUN
hjic-233	8	24	is	be	AUX
hjic-233	8	25	of	of	ADP
hjic-233	8	26	constant	constant	ADJ
hjic-233	8	27	volumetric	volumetric	NOUN
hjic-233	8	28	rate	rate	NOUN
hjic-233	8	29	.	.	PUNCT
hjic-233	9	1	the	the	DET
hjic-233	9	2	main	main	ADJ
hjic-233	9	3	practical	practical	ADJ
hjic-233	9	4	question	question	NOUN
hjic-233	9	5	is	be	AUX
hjic-233	9	6	the	the	DET
hjic-233	9	7	required	required	ADJ
hjic-233	9	8	initial	initial	ADJ
hjic-233	9	9	amount	amount	NOUN
hjic-233	9	10	of	of	ADP
hjic-233	9	11	material	material	NOUN
hjic-233	9	12	in	in	ADP
hjic-233	9	13	the	the	DET
hjic-233	9	14	storage	storage	NOUN
hjic-233	9	15	allowing	allow	VERB
hjic-233	9	16	no	no	DET
hjic-233	9	17	emptying	emptying	NOUN
hjic-233	9	18	of	of	ADP
hjic-233	9	19	storage	storage	NOUN
hjic-233	9	20	.	.	PUNCT
hjic-233	10	1	in	in	ADP
hjic-233	10	2	order	order	NOUN
hjic-233	10	3	to	to	PART
hjic-233	10	4	determine	determine	VERB
hjic-233	10	5	that	that	SCONJ
hjic-233	10	6	we	we	PRON
hjic-233	10	7	define	define	VERB
hjic-233	10	8	a	a	DET
hjic-233	10	9	two	two	NUM
hjic-233	10	10	variable	variable	ADJ
hjic-233	10	11	function	function	NOUN
hjic-233	10	12	.	.	PUNCT
hjic-233	11	1	we	we	PRON
hjic-233	11	2	develop	develop	VERB
hjic-233	11	3	an	an	DET
hjic-233	11	4	equation	equation	NOUN
hjic-233	11	5	satisfied	satisfy	VERB
hjic-233	11	6	by	by	ADP
hjic-233	11	7	this	this	DET
hjic-233	11	8	function	function	NOUN
hjic-233	11	9	and	and	CCONJ
hjic-233	11	10	present	present	ADJ
hjic-233	11	11	solution	solution	NOUN
hjic-233	11	12	for	for	ADP
hjic-233	11	13	the	the	DET
hjic-233	11	14	case	case	NOUN
hjic-233	11	15	of	of	ADP
hjic-233	11	16	erlang(n	erlang(n	PROPN
hjic-233	11	17	)	)	PUNCT
hjic-233	11	18	distributed	distribute	VERB
hjic-233	11	19	inter	inter	ADJ
hjic-233	11	20	-	-	NOUN
hjic-233	11	21	arrival	arrival	ADJ
hjic-233	11	22	time	time	NOUN
hjic-233	11	23	.	.	PUNCT
hjic-233	12	1	we	we	PRON
hjic-233	12	2	provide	provide	VERB
hjic-233	12	3	numerical	numerical	ADJ
hjic-233	12	4	examples	example	NOUN
hjic-233	12	5	and	and	CCONJ
hjic-233	12	6	apply	apply	VERB
hjic-233	12	7	this	this	DET
hjic-233	12	8	function	function	NOUN
hjic-233	12	9	for	for	ADP
hjic-233	12	10	solving	solve	VERB
hjic-233	12	11	the	the	DET
hjic-233	12	12	original	original	ADJ
hjic-233	12	13	problem	problem	NOUN
hjic-233	12	14	.	.	PUNCT
hjic-233	13	1	keywords	keyword	NOUN
hjic-233	13	2	:	:	PUNCT
hjic-233	13	3	process	process	NOUN
hjic-233	13	4	system	system	NOUN
hjic-233	13	5	,	,	PUNCT
hjic-233	13	6	random	random	ADJ
hjic-233	13	7	operation	operation	NOUN
hjic-233	13	8	conditions	condition	NOUN
hjic-233	13	9	,	,	PUNCT
hjic-233	13	10	intermediate	intermediate	ADJ
hjic-233	13	11	storage	storage	NOUN
hjic-233	13	12	,	,	PUNCT
hjic-233	13	13	reliability	reliability	NOUN
hjic-233	13	14	,	,	PUNCT
hjic-233	13	15	integro	integro	ADJ
hjic-233	13	16	-	-	PUNCT
hjic-233	13	17	differential	differential	NOUN
hjic-233	13	18	equation	equation	NOUN
hjic-233	13	19	.	.	PUNCT
hjic-233	14	1	introduction	introduction	NOUN
hjic-233	14	2	intermediate	intermediate	ADJ
hjic-233	14	3	storage	storage	NOUN
hjic-233	14	4	is	be	AUX
hjic-233	14	5	frequently	frequently	ADV
hjic-233	14	6	used	use	VERB
hjic-233	14	7	in	in	ADP
hjic-233	14	8	processing	processing	NOUN
hjic-233	14	9	systems	system	NOUN
hjic-233	14	10	.	.	PUNCT
hjic-233	15	1	in	in	ADP
hjic-233	15	2	chemical	chemical	ADJ
hjic-233	15	3	engineering	engineering	NOUN
hjic-233	15	4	,	,	PUNCT
hjic-233	15	5	the	the	DET
hjic-233	15	6	material	material	NOUN
hjic-233	15	7	produced	produce	VERB
hjic-233	15	8	by	by	ADP
hjic-233	15	9	batch	batch	NOUN
hjic-233	15	10	operational	operational	ADJ
hjic-233	15	11	units	unit	NOUN
hjic-233	15	12	is	be	AUX
hjic-233	15	13	often	often	ADV
hjic-233	15	14	collected	collect	VERB
hjic-233	15	15	in	in	ADP
hjic-233	15	16	a	a	DET
hjic-233	15	17	storage	storage	NOUN
hjic-233	15	18	system	system	NOUN
hjic-233	15	19	from	from	ADP
hjic-233	15	20	which	which	PRON
hjic-233	15	21	it	it	PRON
hjic-233	15	22	is	be	AUX
hjic-233	15	23	withdrawn	withdraw	VERB
hjic-233	15	24	for	for	ADP
hjic-233	15	25	further	further	ADJ
hjic-233	15	26	processing	processing	NOUN
hjic-233	15	27	in	in	ADP
hjic-233	15	28	the	the	DET
hjic-233	15	29	subsequent	subsequent	ADJ
hjic-233	15	30	plant	plant	NOUN
hjic-233	15	31	units	unit	NOUN
hjic-233	15	32	.	.	PUNCT
hjic-233	16	1	the	the	DET
hjic-233	16	2	reasons	reason	NOUN
hjic-233	16	3	of	of	ADP
hjic-233	16	4	applying	apply	VERB
hjic-233	16	5	storage	storage	NOUN
hjic-233	16	6	may	may	AUX
hjic-233	16	7	be	be	AUX
hjic-233	16	8	the	the	DET
hjic-233	16	9	different	different	ADJ
hjic-233	16	10	operational	operational	ADJ
hjic-233	16	11	characteristics	characteristic	NOUN
hjic-233	16	12	of	of	ADP
hjic-233	16	13	the	the	DET
hjic-233	16	14	input	input	NOUN
hjic-233	16	15	and	and	CCONJ
hjic-233	16	16	output	output	NOUN
hjic-233	16	17	subsystems	subsystem	NOUN
hjic-233	16	18	,	,	PUNCT
hjic-233	16	19	or	or	CCONJ
hjic-233	16	20	necessity	necessity	NOUN
hjic-233	16	21	of	of	ADP
hjic-233	16	22	sparing	spare	VERB
hjic-233	16	23	the	the	DET
hjic-233	16	24	processed	process	VERB
hjic-233	16	25	material	material	NOUN
hjic-233	16	26	in	in	ADP
hjic-233	16	27	case	case	NOUN
hjic-233	16	28	of	of	ADP
hjic-233	16	29	failures	failure	NOUN
hjic-233	16	30	during	during	ADP
hjic-233	16	31	the	the	DET
hjic-233	16	32	operation	operation	NOUN
hjic-233	16	33	.	.	PUNCT
hjic-233	17	1	it	it	PRON
hjic-233	17	2	seems	seem	VERB
hjic-233	17	3	to	to	PART
hjic-233	17	4	be	be	AUX
hjic-233	17	5	an	an	DET
hjic-233	17	6	important	important	ADJ
hjic-233	17	7	question	question	NOUN
hjic-233	17	8	to	to	PART
hjic-233	17	9	determine	determine	VERB
hjic-233	17	10	the	the	DET
hjic-233	17	11	necessary	necessary	ADJ
hjic-233	17	12	size	size	NOUN
hjic-233	17	13	of	of	ADP
hjic-233	17	14	the	the	DET
hjic-233	17	15	storage	storage	NOUN
hjic-233	17	16	in	in	ADP
hjic-233	17	17	order	order	NOUN
hjic-233	17	18	to	to	PART
hjic-233	17	19	avoid	avoid	VERB
hjic-233	17	20	the	the	DET
hjic-233	17	21	overflow	overflow	NOUN
hjic-233	17	22	and	and	CCONJ
hjic-233	17	23	the	the	DET
hjic-233	17	24	necessary	necessary	ADJ
hjic-233	17	25	initial	initial	ADJ
hjic-233	17	26	amount	amount	NOUN
hjic-233	17	27	of	of	ADP
hjic-233	17	28	material	material	NOUN
hjic-233	17	29	not	not	PART
hjic-233	17	30	to	to	PART
hjic-233	17	31	run	run	VERB
hjic-233	17	32	out	out	ADP
hjic-233	17	33	the	the	DET
hjic-233	17	34	material	material	NOUN
hjic-233	17	35	stored	store	VERB
hjic-233	17	36	.	.	PUNCT
hjic-233	18	1	this	this	PRON
hjic-233	18	2	is	be	AUX
hjic-233	18	3	to	to	PART
hjic-233	18	4	ensure	ensure	VERB
hjic-233	18	5	the	the	DET
hjic-233	18	6	work	work	NOUN
hjic-233	18	7	without	without	ADP
hjic-233	18	8	failure	failure	NOUN
hjic-233	18	9	of	of	ADP
hjic-233	18	10	the	the	DET
hjic-233	18	11	continuously	continuously	ADV
hjic-233	18	12	operated	operate	VERB
hjic-233	18	13	subsystem	subsystem	NOUN
hjic-233	18	14	supplied	supply	VERB
hjic-233	18	15	by	by	ADP
hjic-233	18	16	material	material	NOUN
hjic-233	18	17	from	from	ADP
hjic-233	18	18	the	the	DET
hjic-233	18	19	storage	storage	NOUN
hjic-233	18	20	system	system	NOUN
hjic-233	18	21	.	.	PUNCT
hjic-233	19	1	investigating	investigate	VERB
hjic-233	19	2	the	the	DET
hjic-233	19	3	operation	operation	NOUN
hjic-233	19	4	of	of	ADP
hjic-233	19	5	intermediate	intermediate	ADJ
hjic-233	19	6	storage	storage	NOUN
hjic-233	19	7	,	,	PUNCT
hjic-233	19	8	researchers	researcher	NOUN
hjic-233	19	9	realised	realise	VERB
hjic-233	19	10	that	that	SCONJ
hjic-233	19	11	the	the	DET
hjic-233	19	12	operation	operation	NOUN
hjic-233	19	13	is	be	AUX
hjic-233	19	14	rather	rather	ADV
hjic-233	19	15	stochastic	stochastic	ADJ
hjic-233	19	16	than	than	ADP
hjic-233	19	17	deterministic	deterministic	ADJ
hjic-233	20	1	[	[	X
hjic-233	20	2	2	2	NUM
hjic-233	20	3	]	]	PUNCT
hjic-233	20	4	.	.	PUNCT
hjic-233	21	1	general	general	ADJ
hjic-233	21	2	stochastic	stochastic	ADJ
hjic-233	21	3	model	model	NOUN
hjic-233	21	4	was	be	AUX
hjic-233	21	5	set	set	VERB
hjic-233	21	6	up	up	ADP
hjic-233	21	7	for	for	ADP
hjic-233	21	8	batch	batch	NOUN
hjic-233	21	9	-	-	PUNCT
hjic-233	21	10	batch	batch	NOUN
hjic-233	21	11	systems	system	NOUN
hjic-233	21	12	[	[	X
hjic-233	21	13	3	3	NUM
hjic-233	21	14	]	]	PUNCT
hjic-233	21	15	,	,	PUNCT
hjic-233	21	16	and	and	CCONJ
hjic-233	21	17	a	a	DET
hjic-233	21	18	method	method	NOUN
hjic-233	21	19	was	be	AUX
hjic-233	21	20	given	give	VERB
hjic-233	21	21	for	for	ADP
hjic-233	21	22	determining	determine	VERB
hjic-233	21	23	the	the	DET
hjic-233	21	24	size	size	NOUN
hjic-233	21	25	and	and	CCONJ
hjic-233	21	26	the	the	DET
hjic-233	21	27	initial	initial	ADJ
hjic-233	21	28	amount	amount	NOUN
hjic-233	21	29	of	of	ADP
hjic-233	21	30	material	material	NOUN
hjic-233	21	31	required	require	VERB
hjic-233	21	32	for	for	ADP
hjic-233	21	33	operation	operation	NOUN
hjic-233	21	34	of	of	ADP
hjic-233	21	35	the	the	DET
hjic-233	21	36	system	system	NOUN
hjic-233	21	37	without	without	ADP
hjic-233	21	38	failures	failure	NOUN
hjic-233	21	39	at	at	ADP
hjic-233	21	40	a	a	DET
hjic-233	21	41	given	give	VERB
hjic-233	21	42	reliability	reliability	NOUN
hjic-233	21	43	level	level	NOUN
hjic-233	21	44	.	.	PUNCT
hjic-233	22	1	in	in	ADP
hjic-233	22	2	this	this	DET
hjic-233	22	3	paper	paper	NOUN
hjic-233	22	4	we	we	PRON
hjic-233	22	5	investigate	investigate	VERB
hjic-233	22	6	such	such	DET
hjic-233	22	7	a	a	DET
hjic-233	22	8	model	model	NOUN
hjic-233	22	9	in	in	ADP
hjic-233	22	10	which	which	PRON
hjic-233	22	11	the	the	DET
hjic-233	22	12	input	input	NOUN
hjic-233	22	13	of	of	ADP
hjic-233	22	14	the	the	DET
hjic-233	22	15	storage	storage	NOUN
hjic-233	22	16	system	system	NOUN
hjic-233	22	17	is	be	AUX
hjic-233	22	18	formed	form	VERB
hjic-233	22	19	by	by	ADP
hjic-233	22	20	a	a	DET
hjic-233	22	21	processing	processing	NOUN
hjic-233	22	22	system	system	NOUN
hjic-233	22	23	of	of	ADP
hjic-233	22	24	a	a	DET
hjic-233	22	25	large	large	ADJ
hjic-233	22	26	set	set	NOUN
hjic-233	22	27	of	of	ADP
hjic-233	22	28	batch	batch	NOUN
hjic-233	22	29	operational	operational	ADJ
hjic-233	22	30	units	unit	NOUN
hjic-233	22	31	while	while	SCONJ
hjic-233	22	32	the	the	DET
hjic-233	22	33	output	output	NOUN
hjic-233	22	34	of	of	ADP
hjic-233	22	35	the	the	DET
hjic-233	22	36	storage	storage	NOUN
hjic-233	22	37	occurs	occur	VERB
hjic-233	22	38	continuously	continuously	ADV
hjic-233	22	39	,	,	PUNCT
hjic-233	22	40	i.e.	i.e.	X
hjic-233	22	41	the	the	DET
hjic-233	22	42	material	material	NOUN
hjic-233	22	43	from	from	ADP
hjic-233	22	44	the	the	DET
hjic-233	22	45	storage	storage	NOUN
hjic-233	22	46	is	be	AUX
hjic-233	22	47	withdrawn	withdraw	VERB
hjic-233	22	48	at	at	ADP
hjic-233	22	49	a	a	DET
hjic-233	22	50	constant	constant	ADJ
hjic-233	22	51	rate	rate	NOUN
hjic-233	22	52	.	.	PUNCT
hjic-233	23	1	in	in	ADP
hjic-233	23	2	previous	previous	ADJ
hjic-233	23	3	work	work	NOUN
hjic-233	23	4	[	[	X
hjic-233	23	5	4	4	NUM
hjic-233	23	6	]	]	PUNCT
hjic-233	23	7	,	,	PUNCT
hjic-233	23	8	we	we	PRON
hjic-233	23	9	investigated	investigate	VERB
hjic-233	23	10	this	this	DET
hjic-233	23	11	problem	problem	NOUN
hjic-233	23	12	assuming	assume	VERB
hjic-233	23	13	poisson	poisson	NOUN
hjic-233	23	14	input	input	NOUN
hjic-233	23	15	process	process	NOUN
hjic-233	23	16	.	.	PUNCT
hjic-233	24	1	we	we	PRON
hjic-233	24	2	have	have	AUX
hjic-233	24	3	set	set	VERB
hjic-233	24	4	up	up	ADP
hjic-233	24	5	the	the	DET
hjic-233	24	6	equations	equation	NOUN
hjic-233	24	7	modelling	model	VERB
hjic-233	24	8	the	the	DET
hjic-233	24	9	behaviour	behaviour	NOUN
hjic-233	24	10	of	of	ADP
hjic-233	24	11	the	the	DET
hjic-233	24	12	system	system	NOUN
hjic-233	24	13	which	which	PRON
hjic-233	24	14	were	be	AUX
hjic-233	24	15	solved	solve	VERB
hjic-233	24	16	analytically	analytically	ADV
hjic-233	24	17	in	in	ADP
hjic-233	24	18	some	some	DET
hjic-233	24	19	special	special	ADJ
hjic-233	24	20	cases	case	NOUN
hjic-233	24	21	,	,	PUNCT
hjic-233	24	22	and	and	CCONJ
hjic-233	24	23	we	we	PRON
hjic-233	24	24	have	have	AUX
hjic-233	24	25	given	give	VERB
hjic-233	24	26	a	a	DET
hjic-233	24	27	method	method	NOUN
hjic-233	24	28	for	for	ADP
hjic-233	24	29	solving	solve	VERB
hjic-233	24	30	the	the	DET
hjic-233	24	31	sizing	sizing	NOUN
hjic-233	24	32	and	and	CCONJ
hjic-233	24	33	initial	initial	ADJ
hjic-233	24	34	amount	amount	NOUN
hjic-233	24	35	problem	problem	NOUN
hjic-233	24	36	based	base	VERB
hjic-233	24	37	on	on	ADP
hjic-233	24	38	these	these	DET
hjic-233	24	39	solutions	solution	NOUN
hjic-233	24	40	or	or	CCONJ
hjic-233	24	41	computer	computer	NOUN
hjic-233	24	42	simulation	simulation	NOUN
hjic-233	24	43	.	.	PUNCT
hjic-233	25	1	in	in	ADP
hjic-233	25	2	this	this	DET
hjic-233	25	3	paper	paper	NOUN
hjic-233	25	4	we	we	PRON
hjic-233	25	5	deal	deal	VERB
hjic-233	25	6	with	with	ADP
hjic-233	25	7	the	the	DET
hjic-233	25	8	problem	problem	NOUN
hjic-233	25	9	of	of	ADP
hjic-233	25	10	initial	initial	ADJ
hjic-233	25	11	amount	amount	NOUN
hjic-233	25	12	of	of	ADP
hjic-233	25	13	material	material	NOUN
hjic-233	25	14	under	under	ADP
hjic-233	25	15	more	more	ADJ
hjic-233	25	16	general	general	ADJ
hjic-233	25	17	conditions	condition	NOUN
hjic-233	25	18	.	.	PUNCT
hjic-233	26	1	we	we	PRON
hjic-233	26	2	determine	determine	VERB
hjic-233	26	3	the	the	DET
hjic-233	26	4	probability	probability	NOUN
hjic-233	26	5	of	of	ADP
hjic-233	26	6	running	run	VERB
hjic-233	26	7	out	out	ADP
hjic-233	26	8	of	of	ADP
hjic-233	26	9	material	material	NOUN
hjic-233	26	10	in	in	ADP
hjic-233	26	11	the	the	DET
hjic-233	26	12	storage	storage	NOUN
hjic-233	26	13	as	as	ADP
hjic-233	26	14	a	a	DET
hjic-233	26	15	function	function	NOUN
hjic-233	26	16	of	of	ADP
hjic-233	26	17	the	the	DET
hjic-233	26	18	initial	initial	ADJ
hjic-233	26	19	amount	amount	NOUN
hjic-233	26	20	of	of	ADP
hjic-233	26	21	material	material	NOUN
hjic-233	26	22	.	.	PUNCT
hjic-233	27	1	on	on	ADP
hjic-233	27	2	the	the	DET
hjic-233	27	3	other	other	ADJ
hjic-233	27	4	hand	hand	NOUN
hjic-233	27	5	it	it	PRON
hjic-233	27	6	is	be	AUX
hjic-233	27	7	interesting	interesting	ADJ
hjic-233	27	8	to	to	PART
hjic-233	27	9	also	also	ADV
hjic-233	27	10	know	know	VERB
hjic-233	27	11	the	the	DET
hjic-233	27	12	expected	expect	VERB
hjic-233	27	13	time	time	NOUN
hjic-233	27	14	of	of	ADP
hjic-233	27	15	this	this	DET
hjic-233	27	16	event	event	NOUN
hjic-233	27	17	.	.	PUNCT
hjic-233	28	1	in	in	ADP
hjic-233	28	2	order	order	NOUN
hjic-233	28	3	to	to	PART
hjic-233	28	4	handle	handle	VERB
hjic-233	28	5	these	these	DET
hjic-233	28	6	problems	problem	NOUN
hjic-233	28	7	together	together	ADV
hjic-233	28	8	,	,	PUNCT
hjic-233	28	9	we	we	PRON
hjic-233	28	10	introduce	introduce	VERB
hjic-233	28	11	a	a	DET
hjic-233	28	12	general	general	ADJ
hjic-233	28	13	function	function	NOUN
hjic-233	28	14	which	which	PRON
hjic-233	28	15	at	at	ADP
hjic-233	28	16	the	the	DET
hjic-233	28	17	value	value	NOUN
hjic-233	28	18	zero	zero	NUM
hjic-233	28	19	provides	provide	VERB
hjic-233	28	20	the	the	DET
hjic-233	28	21	probability	probability	NOUN
hjic-233	28	22	of	of	ADP
hjic-233	28	23	running	run	VERB
hjic-233	28	24	out	out	ADP
hjic-233	28	25	of	of	ADP
hjic-233	28	26	material	material	NOUN
hjic-233	28	27	,	,	PUNCT
hjic-233	28	28	and	and	CCONJ
hjic-233	28	29	its	its	PRON
hjic-233	28	30	derivative	derivative	NOUN
hjic-233	28	31	provides	provide	VERB
hjic-233	28	32	the	the	DET
hjic-233	28	33	expected	expect	VERB
hjic-233	28	34	time	time	NOUN
hjic-233	28	35	of	of	ADP
hjic-233	28	36	emptying	empty	VERB
hjic-233	28	37	as	as	ADV
hjic-233	28	38	well	well	ADV
hjic-233	28	39	.	.	PUNCT
hjic-233	29	1	applying	apply	VERB
hjic-233	29	2	the	the	DET
hjic-233	29	3	tools	tool	NOUN
hjic-233	29	4	of	of	ADP
hjic-233	29	5	probability	probability	NOUN
hjic-233	29	6	theory	theory	NOUN
hjic-233	29	7	we	we	PRON
hjic-233	29	8	set	set	VERB
hjic-233	29	9	up	up	ADP
hjic-233	29	10	an	an	DET
hjic-233	29	11	integro	integro	ADJ
hjic-233	29	12	-	-	PUNCT
hjic-233	29	13	differential	differential	NOUN
hjic-233	29	14	equation	equation	NOUN
hjic-233	29	15	satisfied	satisfy	VERB
hjic-233	29	16	by	by	ADP
hjic-233	29	17	this	this	DET
hjic-233	29	18	function	function	NOUN
hjic-233	29	19	.	.	PUNCT
hjic-233	30	1	we	we	PRON
hjic-233	30	2	show	show	VERB
hjic-233	30	3	some	some	DET
hjic-233	30	4	qualitative	qualitative	ADJ
hjic-233	30	5	properties	property	NOUN
hjic-233	30	6	of	of	ADP
hjic-233	30	7	the	the	DET
hjic-233	30	8	solution	solution	NOUN
hjic-233	30	9	and	and	CCONJ
hjic-233	30	10	in	in	ADP
hjic-233	30	11	some	some	DET
hjic-233	30	12	cases	case	NOUN
hjic-233	30	13	we	we	PRON
hjic-233	30	14	determine	determine	VERB
hjic-233	30	15	analytical	analytical	ADJ
hjic-233	30	16	solutions	solution	NOUN
hjic-233	30	17	for	for	ADP
hjic-233	30	18	it	it	PRON
hjic-233	30	19	.	.	PUNCT
hjic-233	31	1	furthermore	furthermore	ADV
hjic-233	31	2	,	,	PUNCT
hjic-233	31	3	we	we	PRON
hjic-233	31	4	present	present	VERB
hjic-233	31	5	numerical	numerical	ADJ
hjic-233	31	6	examples	example	NOUN
hjic-233	31	7	of	of	ADP
hjic-233	31	8	solutions	solution	NOUN
hjic-233	31	9	which	which	PRON
hjic-233	31	10	are	be	AUX
hjic-233	31	11	applied	apply	VERB
hjic-233	31	12	for	for	ADP
hjic-233	31	13	solving	solve	VERB
hjic-233	31	14	the	the	DET
hjic-233	31	15	practical	practical	ADJ
hjic-233	31	16	problem	problem	NOUN
hjic-233	31	17	.	.	PUNCT
hjic-233	32	1	the	the	DET
hjic-233	32	2	model	model	NOUN
hjic-233	32	3	:	:	PUNCT
hjic-233	32	4	basic	basic	ADJ
hjic-233	32	5	assumptions	assumption	NOUN
hjic-233	32	6	and	and	CCONJ
hjic-233	32	7	notations	notation	NOUN
hjic-233	32	8	consider	consider	VERB
hjic-233	32	9	a	a	DET
hjic-233	32	10	processing	processing	NOUN
hjic-233	32	11	system	system	NOUN
hjic-233	32	12	consisting	consist	VERB
hjic-233	32	13	of	of	ADP
hjic-233	32	14	a	a	DET
hjic-233	32	15	batch	batch	NOUN
hjic-233	32	16	and	and	CCONJ
hjic-233	32	17	a	a	DET
hjic-233	32	18	continuous	continuous	ADJ
hjic-233	32	19	subsystem	subsystem	NOUN
hjic-233	32	20	that	that	PRON
hjic-233	32	21	are	be	AUX
hjic-233	32	22	connected	connect	VERB
hjic-233	32	23	by	by	ADP
hjic-233	32	24	means	mean	NOUN
hjic-233	32	25	of	of	ADP
hjic-233	32	26	an	an	DET
hjic-233	32	27	intermediate	intermediate	ADJ
hjic-233	32	28	storage	storage	NOUN
hjic-233	32	29	system	system	NOUN
hjic-233	32	30	,	,	PUNCT
hjic-233	32	31	shown	show	VERB
hjic-233	32	32	schematically	schematically	NOUN
hjic-233	32	33	in	in	ADP
hjic-233	32	34	fig	fig	NOUN
hjic-233	32	35	.	.	PUNCT
hjic-233	33	1	1	1	X
hjic-233	33	2	.	.	PUNCT
hjic-233	34	1	the	the	DET
hjic-233	34	2	material	material	NOUN
hjic-233	34	3	to	to	PART
hjic-233	34	4	be	be	AUX
hjic-233	34	5	processed	process	VERB
hjic-233	34	6	is	be	AUX
hjic-233	34	7	filled	fill	VERB
hjic-233	34	8	into	into	ADP
hjic-233	34	9	the	the	DET
hjic-233	34	10	storage	storage	NOUN
hjic-233	34	11	by	by	ADP
hjic-233	34	12	the	the	DET
hjic-233	34	13	input	input	NOUN
hjic-233	34	14	sub	sub	NOUN
hjic-233	34	15	-	-	NOUN
hjic-233	34	16	systems	system	NOUN
hjic-233	34	17	.	.	PUNCT
hjic-233	35	1	the	the	DET
hjic-233	35	2	filling	filling	NOUN
hjic-233	35	3	happens	happen	VERB
hjic-233	35	4	randomly	randomly	ADV
hjic-233	35	5	,	,	PUNCT
hjic-233	35	6	both	both	CCONJ
hjic-233	35	7	in	in	ADP
hjic-233	35	8	terms	term	NOUN
hjic-233	35	9	of	of	ADP
hjic-233	35	10	time	time	NOUN
hjic-233	35	11	and	and	CCONJ
hjic-233	35	12	amount	amount	NOUN
hjic-233	35	13	of	of	ADP
hjic-233	35	14	material	material	NOUN
hjic-233	35	15	.	.	PUNCT
hjic-233	36	1	the	the	DET
hjic-233	36	2	investigation	investigation	NOUN
hjic-233	36	3	starts	start	VERB
hjic-233	36	4	at	at	ADP
hjic-233	36	5	t0	t0	PROPN
hjic-233	36	6	=	=	SYM
hjic-233	36	7	0	0	PUNCT
hjic-233	37	1	and	and	CCONJ
hjic-233	37	2	the	the	DET
hjic-233	37	3	time	time	NOUN
hjic-233	37	4	intervals	interval	NOUN
hjic-233	37	5	between	between	ADP
hjic-233	37	6	the	the	DET
hjic-233	37	7	consecutive	consecutive	ADJ
hjic-233	37	8	filling	filling	NOUN
hjic-233	37	9	points	point	NOUN
hjic-233	37	10	are	be	AUX
hjic-233	37	11	described	describe	VERB
hjic-233	37	12	by	by	ADP
hjic-233	37	13	random	random	ADJ
hjic-233	37	14	variables	variable	NOUN
hjic-233	37	15	...	...	PUNCT
hjic-233	38	1	3,2,1,kt	3,2,1,kt	NUM
hjic-233	38	2	therefore	therefore	ADV
hjic-233	38	3	,	,	PUNCT
hjic-233	38	4	the	the	DET
hjic-233	38	5	ith	ith	NOUN
hjic-233	38	6	filling	filling	NOUN
hjic-233	38	7	is	be	AUX
hjic-233	38	8	at	at	ADP
hjic-233	38	9	time	time	NOUN
hjic-233	38	10	∑	∑	PROPN
hjic-233	38	11	=	=	PROPN
hjic-233	39	1	i	i	NOUN
hjic-233	39	2	k	k	PROPN
hjic-233	39	3	kt	kt	PROPN
hjic-233	39	4	1	1	NUM
hjic-233	39	5	.	.	PUNCT
hjic-233	40	1	90	90	NUM
hjic-233	40	2	figure	figure	NOUN
hjic-233	40	3	1	1	NUM
hjic-233	40	4	:	:	PUNCT
hjic-233	40	5	intermediate	intermediate	ADJ
hjic-233	40	6	storage	storage	NOUN
hjic-233	40	7	connecting	connect	VERB
hjic-233	40	8	the	the	DET
hjic-233	40	9	batch	batch	NOUN
hjic-233	40	10	and	and	CCONJ
hjic-233	40	11	continuous	continuous	ADJ
hjic-233	40	12	subsystems	subsystem	NOUN
hjic-233	40	13	let	let	VERB
hjic-233	40	14	the	the	DET
hjic-233	40	15	random	random	ADJ
hjic-233	40	16	variables	variable	NOUN
hjic-233	40	17	ti	ti	NOUN
hjic-233	40	18	be	be	AUX
hjic-233	40	19	assumed	assume	VERB
hjic-233	40	20	to	to	PART
hjic-233	40	21	be	be	AUX
hjic-233	40	22	nonnegative	nonnegative	ADJ
hjic-233	40	23	,	,	PUNCT
hjic-233	40	24	independent	independent	ADJ
hjic-233	40	25	,	,	PUNCT
hjic-233	40	26	identically	identically	ADV
hjic-233	40	27	distributed	distribute	VERB
hjic-233	40	28	random	random	ADJ
hjic-233	40	29	variables	variable	NOUN
hjic-233	40	30	,	,	PUNCT
hjic-233	40	31	hence	hence	ADV
hjic-233	40	32	the	the	DET
hjic-233	40	33	input	input	NOUN
hjic-233	40	34	process	process	NOUN
hjic-233	40	35	is	be	AUX
hjic-233	40	36	a	a	DET
hjic-233	40	37	renewal	renewal	NOUN
hjic-233	40	38	process	process	NOUN
hjic-233	40	39	.	.	PUNCT
hjic-233	41	1	if	if	SCONJ
hjic-233	41	2	the	the	DET
hjic-233	41	3	random	random	ADJ
hjic-233	41	4	variables	variable	NOUN
hjic-233	41	5	are	be	AUX
hjic-233	41	6	exponentially	exponentially	ADV
hjic-233	41	7	distributed	distribute	VERB
hjic-233	41	8	,	,	PUNCT
hjic-233	41	9	then	then	ADV
hjic-233	41	10	the	the	DET
hjic-233	41	11	input	input	NOUN
hjic-233	41	12	process	process	NOUN
hjic-233	41	13	is	be	AUX
hjic-233	41	14	a	a	DET
hjic-233	41	15	poisson	poisson	NOUN
hjic-233	41	16	process	process	NOUN
hjic-233	41	17	.	.	PUNCT
hjic-233	42	1	in	in	ADP
hjic-233	42	2	a	a	DET
hjic-233	42	3	general	general	ADJ
hjic-233	42	4	case	case	NOUN
hjic-233	42	5	let	let	VERB
hjic-233	42	6	their	their	PRON
hjic-233	42	7	common	common	ADJ
hjic-233	42	8	distribution	distribution	NOUN
hjic-233	42	9	function	function	NOUN
hjic-233	42	10	be	be	AUX
hjic-233	42	11	denoted	denote	VERB
hjic-233	42	12	by	by	ADP
hjic-233	42	13	f(t	f(t	NOUN
hjic-233	42	14	)	)	PUNCT
hjic-233	42	15	,	,	PUNCT
hjic-233	42	16	while	while	SCONJ
hjic-233	42	17	the	the	DET
hjic-233	42	18	density	density	NOUN
hjic-233	42	19	function	function	NOUN
hjic-233	42	20	be	be	AUX
hjic-233	42	21	denoted	denote	VERB
hjic-233	42	22	by	by	ADP
hjic-233	42	23	f(t	f(t	NOUN
hjic-233	42	24	)	)	PUNCT
hjic-233	42	25	.	.	PUNCT
hjic-233	43	1	let	let	VERB
hjic-233	43	2	μf	μf	PRON
hjic-233	43	3	be	be	AUX
hjic-233	43	4	their	their	PRON
hjic-233	43	5	finite	finite	ADJ
hjic-233	43	6	expectation	expectation	NOUN
hjic-233	43	7	.	.	PUNCT
hjic-233	44	1	let	let	VERB
hjic-233	44	2	n(t	n(t	PRON
hjic-233	44	3	)	)	PUNCT
hjic-233	44	4	denote	denote	VERB
hjic-233	44	5	the	the	DET
hjic-233	44	6	(	(	PUNCT
hjic-233	44	7	random	random	ADJ
hjic-233	44	8	)	)	PUNCT
hjic-233	44	9	number	number	NOUN
hjic-233	44	10	of	of	ADP
hjic-233	44	11	fillings	filling	NOUN
hjic-233	44	12	in	in	ADP
hjic-233	44	13	the	the	DET
hjic-233	44	14	time	time	NOUN
hjic-233	44	15	interval	interval	NOUN
hjic-233	44	16	[	[	X
hjic-233	44	17	0	0	NUM
hjic-233	44	18	,	,	PUNCT
hjic-233	44	19	t	t	PROPN
hjic-233	44	20	]	]	PUNCT
hjic-233	44	21	.	.	PUNCT
hjic-233	45	1	in	in	ADP
hjic-233	45	2	the	the	DET
hjic-233	45	3	ith	ith	NOUN
hjic-233	45	4	filling	filling	NOUN
hjic-233	45	5	event	event	NOUN
hjic-233	45	6	,	,	PUNCT
hjic-233	45	7	the	the	DET
hjic-233	45	8	amount	amount	NOUN
hjic-233	45	9	of	of	ADP
hjic-233	45	10	material	material	NOUN
hjic-233	45	11	filled	fill	VERB
hjic-233	45	12	into	into	ADP
hjic-233	45	13	the	the	DET
hjic-233	45	14	storage	storage	NOUN
hjic-233	45	15	is	be	AUX
hjic-233	45	16	random	random	ADJ
hjic-233	45	17	as	as	ADV
hjic-233	45	18	well	well	ADV
hjic-233	45	19	,	,	PUNCT
hjic-233	45	20	and	and	CCONJ
hjic-233	45	21	it	it	PRON
hjic-233	45	22	is	be	AUX
hjic-233	45	23	described	describe	VERB
hjic-233	45	24	by	by	ADP
hjic-233	45	25	the	the	DET
hjic-233	45	26	nonnegative	nonnegative	ADJ
hjic-233	45	27	random	random	ADJ
hjic-233	45	28	variable	variable	ADJ
hjic-233	45	29	yi	yi	NOUN
hjic-233	45	30	,	,	PUNCT
hjic-233	45	31	i	i	PRON
hjic-233	45	32	=	=	NOUN
hjic-233	45	33	1	1	NUM
hjic-233	45	34	,	,	PUNCT
hjic-233	45	35	2	2	NUM
hjic-233	45	36	,	,	PUNCT
hjic-233	45	37	…	…	PUNCT
hjic-233	45	38	.	.	PUNCT
hjic-233	46	1	these	these	PRON
hjic-233	46	2	are	be	AUX
hjic-233	46	3	supposed	suppose	VERB
hjic-233	46	4	to	to	PART
hjic-233	46	5	be	be	AUX
hjic-233	46	6	independent	independent	ADJ
hjic-233	46	7	of	of	ADP
hjic-233	46	8	each	each	DET
hjic-233	46	9	other	other	ADJ
hjic-233	46	10	.	.	PUNCT
hjic-233	47	1	their	their	PRON
hjic-233	47	2	distribution	distribution	NOUN
hjic-233	47	3	function	function	NOUN
hjic-233	47	4	is	be	AUX
hjic-233	47	5	denoted	denote	VERB
hjic-233	47	6	by	by	ADP
hjic-233	47	7	g(y	g(y	PROPN
hjic-233	47	8	)	)	PUNCT
hjic-233	47	9	,	,	PUNCT
hjic-233	47	10	the	the	DET
hjic-233	47	11	density	density	NOUN
hjic-233	47	12	function	function	NOUN
hjic-233	47	13	is	be	AUX
hjic-233	47	14	g(y	g(y	NOUN
hjic-233	47	15	)	)	PUNCT
hjic-233	47	16	,	,	PUNCT
hjic-233	47	17	while	while	SCONJ
hjic-233	47	18	the	the	DET
hjic-233	47	19	finite	finite	ADJ
hjic-233	47	20	expectation	expectation	NOUN
hjic-233	47	21	is	be	AUX
hjic-233	47	22	μg	μg	PROPN
hjic-233	47	23	.	.	PUNCT
hjic-233	48	1	furthermore	furthermore	ADV
hjic-233	48	2	,	,	PUNCT
hjic-233	48	3	we	we	PRON
hjic-233	48	4	assume	assume	VERB
hjic-233	48	5	that	that	SCONJ
hjic-233	48	6	the	the	DET
hjic-233	48	7	input	input	NOUN
hjic-233	48	8	process	process	NOUN
hjic-233	48	9	n(t	n(t	PROPN
hjic-233	48	10	)	)	PUNCT
hjic-233	48	11	and	and	CCONJ
hjic-233	48	12	yi	yi	PROPN
hjic-233	48	13	are	be	AUX
hjic-233	48	14	independent	independent	ADJ
hjic-233	48	15	as	as	ADV
hjic-233	48	16	well	well	ADV
hjic-233	48	17	.	.	PUNCT
hjic-233	49	1	the	the	DET
hjic-233	49	2	output	output	NOUN
hjic-233	49	3	process	process	NOUN
hjic-233	49	4	is	be	AUX
hjic-233	49	5	a	a	DET
hjic-233	49	6	deterministic	deterministic	ADJ
hjic-233	49	7	process	process	NOUN
hjic-233	49	8	with	with	ADP
hjic-233	49	9	constant	constant	ADJ
hjic-233	49	10	output	output	NOUN
hjic-233	49	11	rate	rate	NOUN
hjic-233	49	12	c.	c.	PROPN
hjic-233	49	13	the	the	DET
hjic-233	49	14	main	main	ADJ
hjic-233	49	15	goal	goal	NOUN
hjic-233	49	16	is	be	AUX
hjic-233	49	17	to	to	PART
hjic-233	49	18	determine	determine	VERB
hjic-233	49	19	the	the	DET
hjic-233	49	20	initial	initial	ADJ
hjic-233	49	21	amount	amount	NOUN
hjic-233	49	22	of	of	ADP
hjic-233	49	23	material	material	NOUN
hjic-233	49	24	necessary	necessary	ADJ
hjic-233	49	25	at	at	ADP
hjic-233	49	26	a	a	DET
hjic-233	49	27	given	give	VERB
hjic-233	49	28	reliability	reliability	NOUN
hjic-233	49	29	level	level	NOUN
hjic-233	49	30	,	,	PUNCT
hjic-233	49	31	which	which	PRON
hjic-233	49	32	means	mean	VERB
hjic-233	49	33	that	that	SCONJ
hjic-233	49	34	there	there	PRON
hjic-233	49	35	occurs	occur	VERB
hjic-233	49	36	no	no	DET
hjic-233	49	37	running	run	VERB
hjic-233	49	38	out	out	ADP
hjic-233	49	39	of	of	ADP
hjic-233	49	40	the	the	DET
hjic-233	49	41	material	material	NOUN
hjic-233	49	42	with	with	ADP
hjic-233	49	43	a	a	DET
hjic-233	49	44	given	give	VERB
hjic-233	49	45	probability	probability	NOUN
hjic-233	49	46	.	.	PUNCT
hjic-233	50	1	for	for	ADP
hjic-233	50	2	this	this	DET
hjic-233	50	3	purpose	purpose	NOUN
hjic-233	50	4	it	it	PRON
hjic-233	50	5	is	be	AUX
hjic-233	50	6	worth	worth	ADJ
hjic-233	50	7	investigating	investigate	VERB
hjic-233	50	8	the	the	DET
hjic-233	50	9	change	change	NOUN
hjic-233	50	10	of	of	ADP
hjic-233	50	11	material	material	NOUN
hjic-233	50	12	in	in	ADP
hjic-233	50	13	storage	storage	NOUN
hjic-233	50	14	as	as	ADP
hjic-233	50	15	a	a	DET
hjic-233	50	16	function	function	NOUN
hjic-233	50	17	of	of	ADP
hjic-233	50	18	time	time	NOUN
hjic-233	50	19	.	.	PUNCT
hjic-233	51	1	the	the	DET
hjic-233	51	2	change	change	NOUN
hjic-233	51	3	of	of	ADP
hjic-233	51	4	material	material	NOUN
hjic-233	51	5	is	be	AUX
hjic-233	51	6	the	the	DET
hjic-233	51	7	difference	difference	NOUN
hjic-233	51	8	of	of	ADP
hjic-233	51	9	the	the	DET
hjic-233	51	10	filled	fill	VERB
hjic-233	51	11	and	and	CCONJ
hjic-233	51	12	the	the	DET
hjic-233	51	13	withdrawn	withdraw	VERB
hjic-233	51	14	material	material	NOUN
hjic-233	51	15	.	.	PUNCT
hjic-233	52	1	if	if	SCONJ
hjic-233	52	2	we	we	PRON
hjic-233	52	3	denote	denote	VERB
hjic-233	52	4	the	the	DET
hjic-233	52	5	initial	initial	ADJ
hjic-233	52	6	amount	amount	NOUN
hjic-233	52	7	of	of	ADP
hjic-233	52	8	material	material	NOUN
hjic-233	52	9	by	by	ADP
hjic-233	52	10	x	x	X
hjic-233	52	11	,	,	PUNCT
hjic-233	52	12	which	which	PRON
hjic-233	52	13	is	be	AUX
hjic-233	52	14	the	the	DET
hjic-233	52	15	amount	amount	NOUN
hjic-233	52	16	of	of	ADP
hjic-233	52	17	material	material	NOUN
hjic-233	52	18	at	at	ADP
hjic-233	52	19	t	t	PROPN
hjic-233	52	20	=	=	SYM
hjic-233	52	21	0	0	NUM
hjic-233	52	22	,	,	PUNCT
hjic-233	52	23	and	and	CCONJ
hjic-233	52	24	we	we	PRON
hjic-233	52	25	sum	sum	VERB
hjic-233	52	26	up	up	ADP
hjic-233	52	27	the	the	DET
hjic-233	52	28	change	change	NOUN
hjic-233	52	29	to	to	ADP
hjic-233	52	30	the	the	DET
hjic-233	52	31	initial	initial	ADJ
hjic-233	52	32	amount	amount	NOUN
hjic-233	52	33	of	of	ADP
hjic-233	52	34	material	material	NOUN
hjic-233	52	35	x	x	NOUN
hjic-233	52	36	,	,	PUNCT
hjic-233	52	37	we	we	PRON
hjic-233	52	38	get	get	VERB
hjic-233	52	39	the	the	DET
hjic-233	52	40	function	function	NOUN
hjic-233	52	41	describing	describe	VERB
hjic-233	52	42	the	the	DET
hjic-233	52	43	amount	amount	NOUN
hjic-233	52	44	of	of	ADP
hjic-233	52	45	material	material	NOUN
hjic-233	52	46	in	in	ADP
hjic-233	52	47	the	the	DET
hjic-233	52	48	storage	storage	NOUN
hjic-233	52	49	in	in	ADP
hjic-233	52	50	terms	term	NOUN
hjic-233	52	51	of	of	ADP
hjic-233	52	52	time	time	NOUN
hjic-233	52	53	.	.	PUNCT
hjic-233	53	1	this	this	PRON
hjic-233	53	2	is	be	AUX
hjic-233	53	3	a	a	DET
hjic-233	53	4	random	random	ADJ
hjic-233	53	5	function	function	NOUN
hjic-233	53	6	,	,	PUNCT
hjic-233	53	7	which	which	PRON
hjic-233	53	8	means	mean	VERB
hjic-233	53	9	that	that	SCONJ
hjic-233	53	10	considering	consider	VERB
hjic-233	53	11	it	it	PRON
hjic-233	53	12	in	in	ADP
hjic-233	53	13	terms	term	NOUN
hjic-233	53	14	of	of	ADP
hjic-233	53	15	time	time	NOUN
hjic-233	53	16	provides	provide	VERB
hjic-233	53	17	a	a	DET
hjic-233	53	18	stochastic	stochastic	ADJ
hjic-233	53	19	process	process	NOUN
hjic-233	53	20	.	.	PUNCT
hjic-233	54	1	in	in	ADP
hjic-233	54	2	order	order	NOUN
hjic-233	54	3	not	not	PART
hjic-233	54	4	to	to	PART
hjic-233	54	5	run	run	VERB
hjic-233	54	6	out	out	ADP
hjic-233	54	7	of	of	ADP
hjic-233	54	8	material	material	NOUN
hjic-233	54	9	it	it	PRON
hjic-233	54	10	is	be	AUX
hjic-233	54	11	necessary	necessary	ADJ
hjic-233	54	12	to	to	PART
hjic-233	54	13	satisfy	satisfy	VERB
hjic-233	54	14	the	the	DET
hjic-233	54	15	following	follow	VERB
hjic-233	54	16	inequality	inequality	NOUN
hjic-233	54	17	0	0	NUM
hjic-233	54	18	)	)	PUNCT
hjic-233	54	19	(	(	PUNCT
hjic-233	54	20	)	)	PUNCT
hjic-233	54	21	(	(	PUNCT
hjic-233	54	22	1	1	NUM
hjic-233	54	23	≥−+=	≥−+=	NOUN
hjic-233	54	24	∑	∑	PUNCT
hjic-233	54	25	=	=	SYM
hjic-233	54	26	ctyxtv	ctyxtv	ADJ
hjic-233	54	27	tn	tn	NOUN
hjic-233	55	1	i	i	PRON
hjic-233	55	2	i	i	PRON
hjic-233	55	3	(	(	PUNCT
hjic-233	55	4	1	1	X
hjic-233	55	5	)	)	PUNCT
hjic-233	55	6	for	for	ADP
hjic-233	55	7	any	any	DET
hjic-233	55	8	value	value	NOUN
hjic-233	55	9	of	of	ADP
hjic-233	55	10	t	t	PROPN
hjic-233	55	11	≥	≥	NOUN
hjic-233	55	12	0	0	NUM
hjic-233	55	13	where	where	SCONJ
hjic-233	55	14	v(t	v(t	NOUN
hjic-233	55	15	)	)	PUNCT
hjic-233	55	16	denotes	denote	VERB
hjic-233	55	17	the	the	DET
hjic-233	55	18	amount	amount	NOUN
hjic-233	55	19	of	of	ADP
hjic-233	55	20	the	the	DET
hjic-233	55	21	material	material	NOUN
hjic-233	55	22	in	in	ADP
hjic-233	55	23	the	the	DET
hjic-233	55	24	storage	storage	NOUN
hjic-233	55	25	at	at	ADP
hjic-233	55	26	time	time	NOUN
hjic-233	55	27	t.	t.	PROPN
hjic-233	55	28	as	as	ADP
hjic-233	55	29	v(t	v(t	NOUN
hjic-233	55	30	)	)	PUNCT
hjic-233	55	31	is	be	AUX
hjic-233	55	32	a	a	DET
hjic-233	55	33	stochastic	stochastic	ADJ
hjic-233	55	34	process	process	NOUN
hjic-233	55	35	,	,	PUNCT
hjic-233	55	36	the	the	DET
hjic-233	55	37	inequality	inequality	NOUN
hjic-233	55	38	(	(	PUNCT
hjic-233	55	39	1	1	X
hjic-233	55	40	)	)	PUNCT
hjic-233	55	41	holds	hold	VERB
hjic-233	55	42	for	for	ADP
hjic-233	55	43	some	some	DET
hjic-233	55	44	realization	realization	NOUN
hjic-233	55	45	and	and	CCONJ
hjic-233	55	46	does	do	AUX
hjic-233	55	47	not	not	PART
hjic-233	55	48	hold	hold	VERB
hjic-233	55	49	for	for	ADP
hjic-233	55	50	other	other	ADJ
hjic-233	55	51	ones	one	NOUN
hjic-233	55	52	,	,	PUNCT
hjic-233	55	53	i.e.	i.e.	X
hjic-233	55	54	it	it	PRON
hjic-233	55	55	holds	hold	VERB
hjic-233	55	56	only	only	ADV
hjic-233	55	57	with	with	ADP
hjic-233	55	58	a	a	DET
hjic-233	55	59	given	give	VERB
hjic-233	55	60	probability	probability	NOUN
hjic-233	55	61	(	(	PUNCT
hjic-233	55	62	reliability	reliability	NOUN
hjic-233	55	63	)	)	PUNCT
hjic-233	55	64	.	.	PUNCT
hjic-233	56	1	let	let	VERB
hjic-233	56	2	us	we	PRON
hjic-233	56	3	introduce	introduce	VERB
hjic-233	56	4	a	a	DET
hjic-233	56	5	function	function	NOUN
hjic-233	56	6	describing	describe	VERB
hjic-233	56	7	reliability	reliability	NOUN
hjic-233	56	8	,	,	PUNCT
hjic-233	56	9	i.e.	i.e.	X
hjic-233	56	10	the	the	DET
hjic-233	56	11	probability	probability	NOUN
hjic-233	56	12	of	of	ADP
hjic-233	56	13	not	not	PART
hjic-233	56	14	emptying	empty	VERB
hjic-233	56	15	as	as	ADP
hjic-233	56	16	a	a	DET
hjic-233	56	17	function	function	NOUN
hjic-233	56	18	of	of	ADP
hjic-233	56	19	the	the	DET
hjic-233	56	20	initial	initial	ADJ
hjic-233	56	21	amount	amount	NOUN
hjic-233	56	22	of	of	ADP
hjic-233	56	23	material	material	NOUN
hjic-233	56	24	.	.	PUNCT
hjic-233	57	1	if	if	SCONJ
hjic-233	57	2	x	x	PRON
hjic-233	57	3	is	be	AUX
hjic-233	57	4	the	the	DET
hjic-233	57	5	initial	initial	ADJ
hjic-233	57	6	amount	amount	NOUN
hjic-233	57	7	of	of	ADP
hjic-233	57	8	material	material	NOUN
hjic-233	57	9	then	then	ADV
hjic-233	57	10	we	we	PRON
hjic-233	57	11	define	define	VERB
hjic-233	57	12	⎟	⎟	X
hjic-233	57	13	⎟	⎟	X
hjic-233	57	14	⎠	⎠	X
hjic-233	57	15	⎞	⎞	PROPN
hjic-233	57	16	⎜	⎜	PROPN
hjic-233	57	17	⎜	⎜	PROPN
hjic-233	57	18	⎝	⎝	PUNCT
hjic-233	57	19	⎛	⎛	PROPN
hjic-233	57	20	⎭	⎭	PROPN
hjic-233	57	21	⎬	⎬	PROPN
hjic-233	57	22	⎫	⎫	PROPN
hjic-233	57	23	⎩	⎩	PUNCT
hjic-233	58	1	⎨	⎨	ADJ
hjic-233	58	2	⎧	⎧	PROPN
hjic-233	58	3	≤∀−+≤=	≤∀−+≤=	PROPN
hjic-233	58	4	∑	∑	PROPN
hjic-233	58	5	=	=	PUNCT
hjic-233	58	6	)	)	PUNCT
hjic-233	58	7	(	(	PUNCT
hjic-233	58	8	1	1	NUM
hjic-233	58	9	0:0	0:0	NUM
hjic-233	58	10	)	)	PUNCT
hjic-233	58	11	(	(	PUNCT
hjic-233	58	12	tn	tn	NOUN
hjic-233	59	1	i	i	PRON
hjic-233	59	2	i	i	PRON
hjic-233	59	3	ttctyxpxr	ttctyxpxr	VERB
hjic-233	59	4	.	.	PUNCT
hjic-233	60	1	the	the	DET
hjic-233	60	2	probability	probability	NOUN
hjic-233	60	3	of	of	ADP
hjic-233	60	4	running	run	VERB
hjic-233	60	5	out	out	ADP
hjic-233	60	6	of	of	ADP
hjic-233	60	7	the	the	DET
hjic-233	60	8	material	material	NOUN
hjic-233	60	9	is	be	AUX
hjic-233	60	10	given	give	VERB
hjic-233	60	11	by	by	ADP
hjic-233	60	12	ψ(x	ψ(x	NOUN
hjic-233	60	13	)	)	PUNCT
hjic-233	60	14	=	=	SYM
hjic-233	60	15	1	1	X
hjic-233	60	16	–	–	PUNCT
hjic-233	60	17	r(x	r(x	NOUN
hjic-233	60	18	)	)	PUNCT
hjic-233	60	19	,	,	PUNCT
hjic-233	60	20	and	and	CCONJ
hjic-233	60	21	the	the	DET
hjic-233	60	22	time	time	NOUN
hjic-233	60	23	of	of	ADP
hjic-233	60	24	emptying	emptying	NOUN
hjic-233	60	25	is	be	AUX
hjic-233	60	26	expressed	express	VERB
hjic-233	60	27	as	as	ADP
hjic-233	60	28	}	}	PUNCT
hjic-233	60	29	{	{	PUNCT
hjic-233	60	30	⎩	⎩	NOUN
hjic-233	60	31	⎨	⎨	ADJ
hjic-233	60	32	⎧	⎧	PROPN
hjic-233	60	33	<	<	X
hjic-233	60	34	≥<≥	≥<≥	NOUN
hjic-233	60	35	≥≥∞	≥≥∞	NOUN
hjic-233	60	36	=	=	SYM
hjic-233	60	37	0)(:0existsthereif,0)(:0inf	0)(:0existsthereif,0)(:0inf	NUM
hjic-233	60	38	0anyfor0)(if	0anyfor0)(if	NOUN
hjic-233	60	39	,	,	PUNCT
hjic-233	60	40	)	)	PUNCT
hjic-233	60	41	(	(	PUNCT
hjic-233	60	42	tvttvt	tvttvt	PROPN
hjic-233	60	43	ttv	ttv	PROPN
hjic-233	60	44	xtv	xtv	PROPN
hjic-233	60	45	furthermore	furthermore	ADV
hjic-233	60	46	let	let	VERB
hjic-233	60	47	the	the	DET
hjic-233	60	48	function	function	NOUN
hjic-233	60	49	φ(x	φ(x	PROPN
hjic-233	60	50	,	,	PUNCT
hjic-233	60	51	δ	δ	PROPN
hjic-233	60	52	)	)	PUNCT
hjic-233	60	53	be	be	AUX
hjic-233	60	54	defined	define	VERB
hjic-233	60	55	as	as	SCONJ
hjic-233	60	56	follows	follow	VERB
hjic-233	60	57	.	.	PUNCT
hjic-233	61	1	for	for	ADP
hjic-233	61	2	0	0	NUM
hjic-233	61	3	≤	≤	NUM
hjic-233	61	4	x	x	PUNCT
hjic-233	61	5	and	and	CCONJ
hjic-233	61	6	0	0	NUM
hjic-233	61	7	≤	≤	NUM
hjic-233	61	8	δ	δ	PROPN
hjic-233	61	9	we	we	PRON
hjic-233	61	10	have	have	VERB
hjic-233	61	11	)	)	PUNCT
hjic-233	61	12	1	1	NUM
hjic-233	61	13	(	(	PUNCT
hjic-233	61	14	)	)	PUNCT
hjic-233	61	15	,	,	PUNCT
hjic-233	61	16	(	(	PUNCT
hjic-233	61	17	)	)	PUNCT
hjic-233	61	18	(	(	PUNCT
hjic-233	61	19	)	)	PUNCT
hjic-233	61	20	(	(	PUNCT
hjic-233	61	21	∞	∞	PROPN
hjic-233	61	22	<	<	X
hjic-233	61	23	−=	−=	X
hjic-233	61	24	xt	xt	PROPN
hjic-233	61	25	xt	xt	PROPN
hjic-233	61	26	v	v	NUM
hjic-233	61	27	veex	veex	NOUN
hjic-233	61	28	δδφ	δδφ	NOUN
hjic-233	61	29	.	.	PUNCT
hjic-233	62	1	this	this	DET
hjic-233	62	2	function	function	NOUN
hjic-233	62	3	is	be	AUX
hjic-233	62	4	,	,	PUNCT
hjic-233	62	5	in	in	ADP
hjic-233	62	6	essence	essence	NOUN
hjic-233	62	7	,	,	PUNCT
hjic-233	62	8	the	the	DET
hjic-233	62	9	laplace	laplace	NOUN
hjic-233	62	10	transform	transform	NOUN
hjic-233	62	11	of	of	ADP
hjic-233	62	12	the	the	DET
hjic-233	62	13	probability	probability	NOUN
hjic-233	62	14	density	density	NOUN
hjic-233	62	15	function	function	NOUN
hjic-233	62	16	of	of	ADP
hjic-233	62	17	the	the	DET
hjic-233	62	18	finite	finite	ADJ
hjic-233	62	19	time	time	NOUN
hjic-233	62	20	of	of	ADP
hjic-233	62	21	running	run	VERB
hjic-233	62	22	out	out	ADP
hjic-233	62	23	of	of	ADP
hjic-233	62	24	the	the	DET
hjic-233	62	25	material	material	NOUN
hjic-233	62	26	.	.	PUNCT
hjic-233	63	1	it	it	PRON
hjic-233	63	2	can	can	AUX
hjic-233	63	3	be	be	AUX
hjic-233	63	4	easily	easily	ADV
hjic-233	63	5	shown	show	VERB
hjic-233	63	6	that	that	SCONJ
hjic-233	63	7	φ(x	φ(x	PROPN
hjic-233	63	8	,	,	PUNCT
hjic-233	63	9	δ	δ	NOUN
hjic-233	63	10	)	)	PUNCT
hjic-233	63	11	=	=	SYM
hjic-233	63	12	ψ(x	ψ(x	NOUN
hjic-233	63	13	)	)	PUNCT
hjic-233	63	14	,	,	PUNCT
hjic-233	63	15	and	and	CCONJ
hjic-233	63	16	)	)	PUNCT
hjic-233	63	17	1	1	NUM
hjic-233	63	18	(	(	PUNCT
hjic-233	63	19	)	)	PUNCT
hjic-233	63	20	,	,	PUNCT
hjic-233	63	21	(	(	PUNCT
hjic-233	63	22	)	)	PUNCT
hjic-233	63	23	(	(	PUNCT
hjic-233	63	24	)	)	PUNCT
hjic-233	63	25	(	(	PUNCT
hjic-233	63	26	0	0	NUM
hjic-233	63	27	∞	∞	NOUN
hjic-233	63	28	<	<	X
hjic-233	63	29	−	−	X
hjic-233	63	30	=	=	SYM
hjic-233	63	31	=	=	SYM
hjic-233	63	32	∂	∂	NUM
hjic-233	63	33	∂	∂	NUM
hjic-233	63	34	−	−	PROPN
hjic-233	63	35	xt	xt	PROPN
hjic-233	63	36	xt	xt	PROPN
hjic-233	63	37	v	v	X
hjic-233	63	38	veex	veex	PROPN
hjic-233	63	39	δ	δ	PROPN
hjic-233	63	40	δδ	δδ	ADP
hjic-233	63	41	δφ	δφ	ADV
hjic-233	63	42	,	,	PUNCT
hjic-233	63	43	hence	hence	ADV
hjic-233	63	44	the	the	DET
hjic-233	63	45	function	function	NOUN
hjic-233	63	46	φ(x	φ(x	PROPN
hjic-233	63	47	,	,	PUNCT
hjic-233	63	48	δ	δ	PROPN
hjic-233	63	49	)	)	PUNCT
hjic-233	63	50	is	be	AUX
hjic-233	63	51	a	a	DET
hjic-233	63	52	suitable	suitable	ADJ
hjic-233	63	53	tool	tool	NOUN
hjic-233	63	54	for	for	ADP
hjic-233	63	55	determining	determine	VERB
hjic-233	63	56	the	the	DET
hjic-233	63	57	reliability	reliability	NOUN
hjic-233	63	58	and	and	CCONJ
hjic-233	63	59	the	the	DET
hjic-233	63	60	expectation	expectation	NOUN
hjic-233	63	61	as	as	ADV
hjic-233	63	62	well	well	ADV
hjic-233	63	63	.	.	PUNCT
hjic-233	64	1	consequently	consequently	ADV
hjic-233	64	2	,	,	PUNCT
hjic-233	64	3	we	we	PRON
hjic-233	64	4	will	will	AUX
hjic-233	64	5	deal	deal	VERB
hjic-233	64	6	with	with	ADP
hjic-233	64	7	the	the	DET
hjic-233	64	8	function	function	NOUN
hjic-233	64	9	φ(x	φ(x	PROPN
hjic-233	64	10	,	,	PUNCT
hjic-233	64	11	δ	δ	PROPN
hjic-233	64	12	)	)	PUNCT
hjic-233	64	13	.	.	PUNCT
hjic-233	65	1	we	we	PRON
hjic-233	65	2	mention	mention	VERB
hjic-233	65	3	that	that	SCONJ
hjic-233	65	4	similar	similar	ADJ
hjic-233	65	5	function	function	NOUN
hjic-233	65	6	was	be	AUX
hjic-233	65	7	introduced	introduce	VERB
hjic-233	65	8	in	in	ADP
hjic-233	65	9	insurance	insurance	NOUN
hjic-233	65	10	mathematics	mathematic	NOUN
hjic-233	65	11	to	to	PART
hjic-233	65	12	investigate	investigate	VERB
hjic-233	65	13	the	the	DET
hjic-233	65	14	ruin	ruin	NOUN
hjic-233	65	15	probability	probability	NOUN
hjic-233	65	16	in	in	ADP
hjic-233	65	17	[	[	X
hjic-233	65	18	1	1	NUM
hjic-233	65	19	]	]	PUNCT
hjic-233	65	20	called	call	VERB
hjic-233	65	21	gerber	gerber	PROPN
hjic-233	65	22	-	-	PUNCT
hjic-233	65	23	shiu	shiu	NOUN
hjic-233	65	24	discounted	discount	VERB
hjic-233	65	25	penalty	penalty	NOUN
hjic-233	65	26	function	function	NOUN
hjic-233	65	27	.	.	PUNCT
hjic-233	66	1	equations	equation	NOUN
hjic-233	66	2	for	for	ADP
hjic-233	66	3	the	the	DET
hjic-233	66	4	function	function	NOUN
hjic-233	66	5	φ(x	φ(x	PROPN
hjic-233	66	6	,	,	PUNCT
hjic-233	66	7	δ	δ	PROPN
hjic-233	66	8	)	)	PUNCT
hjic-233	66	9	first	first	ADV
hjic-233	66	10	we	we	PRON
hjic-233	66	11	note	note	VERB
hjic-233	66	12	that	that	SCONJ
hjic-233	66	13	the	the	DET
hjic-233	66	14	function	function	NOUN
hjic-233	66	15	φ(x	φ(x	PROPN
hjic-233	66	16	,	,	PUNCT
hjic-233	66	17	δ	δ	PROPN
hjic-233	66	18	)	)	PUNCT
hjic-233	66	19	is	be	AUX
hjic-233	66	20	monotonic	monotonic	ADJ
hjic-233	66	21	decreasing	decrease	VERB
hjic-233	66	22	in	in	ADP
hjic-233	66	23	both	both	DET
hjic-233	66	24	variables	variable	NOUN
hjic-233	66	25	.	.	PUNCT
hjic-233	67	1	it	it	PRON
hjic-233	67	2	is	be	AUX
hjic-233	67	3	continuous	continuous	ADJ
hjic-233	67	4	and	and	CCONJ
hjic-233	67	5	the	the	DET
hjic-233	67	6	inequality	inequality	NOUN
hjic-233	67	7	0	0	NUM
hjic-233	67	8	≤	≤	ADJ
hjic-233	67	9	φ(x	φ(x	NOUN
hjic-233	67	10	,	,	PUNCT
hjic-233	67	11	δ	δ	NOUN
hjic-233	67	12	)	)	PUNCT
hjic-233	67	13	≤	≤	NOUN
hjic-233	67	14	1	1	NUM
hjic-233	67	15	holds	hold	NOUN
hjic-233	67	16	.	.	PUNCT
hjic-233	68	1	furthermore	furthermore	ADV
hjic-233	68	2	it	it	PRON
hjic-233	68	3	can	can	AUX
hjic-233	68	4	be	be	AUX
hjic-233	68	5	proved	prove	VERB
hjic-233	68	6	that	that	SCONJ
hjic-233	68	7	:	:	PUNCT
hjic-233	68	8	theorem	theorem	NOUN
hjic-233	68	9	1	1	NUM
hjic-233	68	10	:	:	PUNCT
hjic-233	68	11	for	for	ADP
hjic-233	68	12	any	any	DET
hjic-233	68	13	x	x	SYM
hjic-233	68	14	≥	≥	NOUN
hjic-233	68	15	0	0	NUM
hjic-233	68	16	and	and	CCONJ
hjic-233	68	17	δ	δ	PROPN
hjic-233	68	18	≥	≥	NUM
hjic-233	68	19	0	0	NUM
hjic-233	68	20	function	function	NOUN
hjic-233	68	21	φ(x	φ(x	PROPN
hjic-233	68	22	,	,	PUNCT
hjic-233	68	23	δ	δ	PROPN
hjic-233	68	24	)	)	PUNCT
hjic-233	68	25	satisfies	satisfy	VERB
hjic-233	68	26	the	the	DET
hjic-233	68	27	following	follow	VERB
hjic-233	68	28	integro	integro	ADJ
hjic-233	68	29	-	-	PUNCT
hjic-233	68	30	differential	differential	NOUN
hjic-233	68	31	equation	equation	NOUN
hjic-233	68	32	:	:	PUNCT
hjic-233	69	1	+	+	X
hjic-233	69	2	−+=	−+=	X
hjic-233	69	3	∫	∫	PROPN
hjic-233	69	4	∫	∫	PROPN
hjic-233	70	1	∞	∞	PROPN
hjic-233	71	1	−	−	PROPN
hjic-233	71	2	dtdyygtfctyxex	dtdyygtfctyxex	VERB
hjic-233	71	3	c	c	PROPN
hjic-233	71	4	z	z	PROPN
hjic-233	71	5	t	t	PROPN
hjic-233	71	6	)	)	PUNCT
hjic-233	71	7	(	(	PUNCT
hjic-233	71	8	)	)	PUNCT
hjic-233	71	9	(	(	PUNCT
hjic-233	71	10	)	)	PUNCT
hjic-233	71	11	,	,	PUNCT
hjic-233	71	12	(	(	PUNCT
hjic-233	71	13	)	)	PUNCT
hjic-233	71	14	,	,	PUNCT
hjic-233	71	15	(	(	PUNCT
hjic-233	71	16	0	0	NUM
hjic-233	71	17	0	0	NUM
hjic-233	71	18	δφδφ	δφδφ	PROPN
hjic-233	71	19	δ	δ	PROPN
hjic-233	71	20	∫	∫	PROPN
hjic-233	71	21	∞	∞	NUM
hjic-233	71	22	−	−	PROPN
hjic-233	72	1	+	+	CCONJ
hjic-233	72	2	c	c	NOUN
hjic-233	72	3	x	x	SYM
hjic-233	72	4	c	c	NOUN
hjic-233	72	5	x	x	NOUN
hjic-233	72	6	dttfe	dttfe	ADJ
hjic-233	72	7	)	)	PUNCT
hjic-233	72	8	(	(	PUNCT
hjic-233	72	9	δ	δ	PROPN
hjic-233	72	10	.	.	PUNCT
hjic-233	73	1	(	(	PUNCT
hjic-233	73	2	2	2	X
hjic-233	73	3	)	)	PUNCT
hjic-233	73	4	batch	batch	NOUN
hjic-233	73	5	units	unit	NOUN
hjic-233	73	6	continuous	continuous	ADJ
hjic-233	73	7	subsystem	subsystem	NOUN
hjic-233	73	8	intermediate	intermediate	ADJ
hjic-233	73	9	storage	storage	NOUN
hjic-233	73	10	input	input	NOUN
hjic-233	73	11	output	output	NOUN
hjic-233	73	12	1	1	NUM
hjic-233	73	13	k	k	NOUN
hjic-233	73	14	q(t)=c	q(t)=c	PROPN
hjic-233	73	15	y1i	y1i	PROPN
hjic-233	73	16	,	,	PUNCT
hjic-233	73	17	t1i	t1i	PROPN
hjic-233	73	18	yki	yki	PROPN
hjic-233	73	19	,	,	PUNCT
hjic-233	73	20	tki	tki	PROPN
hjic-233	73	21	yi	yi	PROPN
hjic-233	73	22	,	,	PUNCT
hjic-233	73	23	ti	ti	PROPN
hjic-233	73	24	91	91	NUM
hjic-233	73	25	theorem	theorem	ADJ
hjic-233	73	26	2	2	NUM
hjic-233	73	27	:	:	PUNCT
hjic-233	73	28	equation	equation	NOUN
hjic-233	73	29	(	(	PUNCT
hjic-233	73	30	2	2	X
hjic-233	73	31	)	)	PUNCT
hjic-233	73	32	has	have	VERB
hjic-233	73	33	a	a	DET
hjic-233	73	34	unique	unique	ADJ
hjic-233	73	35	solution	solution	NOUN
hjic-233	73	36	for	for	ADP
hjic-233	73	37	δ	δ	PROPN
hjic-233	73	38	>	>	X
hjic-233	73	39	0	0	PUNCT
hjic-233	74	1	in	in	ADP
hjic-233	74	2	the	the	DET
hjic-233	74	3	set	set	NOUN
hjic-233	74	4	of	of	ADP
hjic-233	74	5	bounded	bounded	ADJ
hjic-233	74	6	functions	function	NOUN
hjic-233	74	7	.	.	PUNCT
hjic-233	75	1	this	this	DET
hjic-233	75	2	solution	solution	NOUN
hjic-233	75	3	tends	tend	VERB
hjic-233	75	4	to	to	ADP
hjic-233	75	5	zero	zero	NUM
hjic-233	75	6	in	in	ADP
hjic-233	75	7	exponential	exponential	ADJ
hjic-233	75	8	order	order	NOUN
hjic-233	75	9	.	.	PUNCT
hjic-233	76	1	namely	namely	ADV
hjic-233	76	2	φ(x	φ(x	PROPN
hjic-233	76	3	,	,	PUNCT
hjic-233	76	4	δ	δ	NOUN
hjic-233	76	5	)	)	PUNCT
hjic-233	76	6	≤	≤	NOUN
hjic-233	76	7	ke	ke	NOUN
hjic-233	76	8	–	–	PUNCT
hjic-233	76	9	rx	rx	VERB
hjic-233	76	10	for	for	ADP
hjic-233	76	11	suitable	suitable	ADJ
hjic-233	76	12	constants	constant	NOUN
hjic-233	76	13	0	0	NUM
hjic-233	77	1	<	<	X
hjic-233	77	2	k	k	PROPN
hjic-233	77	3	and	and	CCONJ
hjic-233	77	4	0	0	NUM
hjic-233	77	5	<	<	X
hjic-233	77	6	r	r	NOUN
hjic-233	77	7	,	,	PUNCT
hjic-233	77	8	depending	depend	VERB
hjic-233	77	9	on	on	ADP
hjic-233	77	10	δ	δ	PROPN
hjic-233	77	11	.	.	PUNCT
hjic-233	78	1	in	in	ADP
hjic-233	78	2	the	the	DET
hjic-233	78	3	case	case	NOUN
hjic-233	78	4	of	of	ADP
hjic-233	78	5	δ	δ	PROPN
hjic-233	78	6	=	=	SYM
hjic-233	78	7	0	0	PROPN
hjic-233	79	1	the	the	DET
hjic-233	79	2	bounded	bounded	ADJ
hjic-233	79	3	solution	solution	NOUN
hjic-233	79	4	of	of	ADP
hjic-233	79	5	equation	equation	NOUN
hjic-233	79	6	(	(	PUNCT
hjic-233	79	7	2	2	X
hjic-233	79	8	)	)	PUNCT
hjic-233	79	9	is	be	AUX
hjic-233	79	10	not	not	PART
hjic-233	79	11	unique	unique	ADJ
hjic-233	79	12	,	,	PUNCT
hjic-233	79	13	as	as	ADP
hjic-233	79	14	the	the	DET
hjic-233	79	15	heaviside	heaviside	ADJ
hjic-233	79	16	function	function	NOUN
hjic-233	79	17	,	,	PUNCT
hjic-233	79	18	i.e.	i.e.	X
hjic-233	79	19	constant	constant	ADJ
hjic-233	79	20	of	of	ADP
hjic-233	79	21	value	value	NOUN
hjic-233	79	22	one	one	NUM
hjic-233	79	23	for	for	ADP
hjic-233	79	24	all	all	PRON
hjic-233	79	25	x	x	PRON
hjic-233	79	26	≥	≥	NUM
hjic-233	79	27	0	0	NUM
hjic-233	79	28	is	be	AUX
hjic-233	79	29	a	a	DET
hjic-233	79	30	solution	solution	NOUN
hjic-233	79	31	to	to	ADP
hjic-233	79	32	equation	equation	NOUN
hjic-233	79	33	(	(	PUNCT
hjic-233	79	34	2	2	NUM
hjic-233	79	35	)	)	PUNCT
hjic-233	79	36	and	and	CCONJ
hjic-233	79	37	,	,	PUNCT
hjic-233	79	38	if	if	SCONJ
hjic-233	79	39	c	c	PROPN
hjic-233	79	40	f	f	PROPN
hjic-233	79	41	g	g	PROPN
hjic-233	79	42	>	>	PROPN
hjic-233	79	43	μ	μ	PROPN
hjic-233	79	44	μ	μ	PROPN
hjic-233	79	45	and	and	CCONJ
hjic-233	79	46	∫	∫	PROPN
hjic-233	80	1	∞	∞	PROPN
hjic-233	80	2	−≤	−≤	NOUN
hjic-233	80	3	x	x	PUNCT
hjic-233	80	4	rxekdttf	rxekdttf	NOUN
hjic-233	80	5	2	2	NUM
hjic-233	80	6	)	)	PUNCT
hjic-233	80	7	(	(	PUNCT
hjic-233	80	8	,	,	PUNCT
hjic-233	80	9	r	r	NOUN
hjic-233	80	10	>	>	X
hjic-233	80	11	0	0	NUM
hjic-233	80	12	,	,	PUNCT
hjic-233	80	13	then	then	ADV
hjic-233	80	14	there	there	PRON
hjic-233	80	15	exists	exist	VERB
hjic-233	80	16	such	such	DET
hjic-233	80	17	a	a	DET
hjic-233	80	18	solution	solution	NOUN
hjic-233	80	19	as	as	ADV
hjic-233	80	20	well	well	ADV
hjic-233	80	21	for	for	ADP
hjic-233	80	22	which	which	PRON
hjic-233	80	23	φ(x,0	φ(x,0	PROPN
hjic-233	80	24	)	)	PUNCT
hjic-233	80	25	≤	≤	PUNCT
hjic-233	81	1	k1e	k1e	X
hjic-233	81	2	–	–	PUNCT
hjic-233	81	3	rx	rx	VERB
hjic-233	81	4	with	with	ADP
hjic-233	81	5	a	a	DET
hjic-233	81	6	suitable	suitable	ADJ
hjic-233	81	7	constant	constant	ADJ
hjic-233	81	8	k1	k1	NOUN
hjic-233	81	9	>	>	X
hjic-233	81	10	0	0	X
hjic-233	81	11	.	.	PUNCT
hjic-233	81	12	remark	remark	PROPN
hjic-233	81	13	:	:	PUNCT
hjic-233	81	14	condition	condition	NOUN
hjic-233	81	15	c	c	NOUN
hjic-233	81	16	f	f	PROPN
hjic-233	81	17	g	g	PROPN
hjic-233	81	18	>	>	PROPN
hjic-233	81	19	μ	μ	PROPN
hjic-233	81	20	μ	μ	PROPN
hjic-233	81	21	means	mean	VERB
hjic-233	81	22	that	that	SCONJ
hjic-233	81	23	during	during	ADP
hjic-233	81	24	a	a	DET
hjic-233	81	25	unit	unit	NOUN
hjic-233	81	26	time	time	NOUN
hjic-233	81	27	interval	interval	NOUN
hjic-233	81	28	the	the	DET
hjic-233	81	29	expectation	expectation	NOUN
hjic-233	81	30	of	of	ADP
hjic-233	81	31	the	the	DET
hjic-233	81	32	amount	amount	NOUN
hjic-233	81	33	of	of	ADP
hjic-233	81	34	filled	fill	VERB
hjic-233	81	35	material	material	NOUN
hjic-233	81	36	is	be	AUX
hjic-233	81	37	more	more	ADJ
hjic-233	81	38	than	than	ADP
hjic-233	81	39	the	the	DET
hjic-233	81	40	amount	amount	NOUN
hjic-233	81	41	of	of	ADP
hjic-233	81	42	withdrawn	withdraw	VERB
hjic-233	81	43	material	material	NOUN
hjic-233	81	44	.	.	PUNCT
hjic-233	82	1	in	in	ADP
hjic-233	82	2	the	the	DET
hjic-233	82	3	opposite	opposite	ADJ
hjic-233	82	4	case	case	NOUN
hjic-233	82	5	it	it	PRON
hjic-233	82	6	can	can	AUX
hjic-233	82	7	be	be	AUX
hjic-233	82	8	proven	prove	VERB
hjic-233	82	9	that	that	SCONJ
hjic-233	82	10	the	the	DET
hjic-233	82	11	solution	solution	NOUN
hjic-233	82	12	of	of	ADP
hjic-233	82	13	the	the	DET
hjic-233	82	14	processing	processing	NOUN
hjic-233	82	15	problem	problem	NOUN
hjic-233	82	16	is	be	AUX
hjic-233	82	17	φ(x,0	φ(x,0	PROPN
hjic-233	82	18	)	)	PUNCT
hjic-233	82	19	≡	≡	PROPN
hjic-233	82	20	1	1	NUM
hjic-233	82	21	,	,	PUNCT
hjic-233	82	22	x	x	X
hjic-233	82	23	≥	≥	NOUN
hjic-233	82	24	0	0	NUM
hjic-233	82	25	.	.	PUNCT
hjic-233	82	26	theorem	theorem	ADJ
hjic-233	82	27	2	2	NUM
hjic-233	82	28	ensures	ensure	VERB
hjic-233	82	29	that	that	SCONJ
hjic-233	82	30	in	in	ADP
hjic-233	82	31	the	the	DET
hjic-233	82	32	case	case	NOUN
hjic-233	82	33	c	c	NOUN
hjic-233	82	34	f	f	PROPN
hjic-233	82	35	g	g	PROPN
hjic-233	82	36	>	>	PROPN
hjic-233	82	37	μ	μ	PROPN
hjic-233	82	38	μ	μ	PROPN
hjic-233	82	39	for	for	ADP
hjic-233	82	40	any	any	DET
hjic-233	82	41	0	0	PUNCT
hjic-233	82	42	<	<	X
hjic-233	82	43	α	α	X
hjic-233	82	44	<	<	X
hjic-233	82	45	1	1	NUM
hjic-233	82	46	there	there	ADV
hjic-233	82	47	exists	exist	VERB
hjic-233	82	48	such	such	DET
hjic-233	82	49	an	an	DET
hjic-233	82	50	initial	initial	ADJ
hjic-233	82	51	amount	amount	NOUN
hjic-233	82	52	of	of	ADP
hjic-233	82	53	material	material	NOUN
hjic-233	82	54	x	x	PUNCT
hjic-233	82	55	for	for	ADP
hjic-233	82	56	which	which	PRON
hjic-233	82	57	the	the	DET
hjic-233	82	58	material	material	NOUN
hjic-233	82	59	in	in	ADP
hjic-233	82	60	the	the	DET
hjic-233	82	61	intermediate	intermediate	ADJ
hjic-233	82	62	storage	storage	NOUN
hjic-233	82	63	will	will	AUX
hjic-233	82	64	not	not	PART
hjic-233	82	65	run	run	VERB
hjic-233	82	66	out	out	ADP
hjic-233	82	67	with	with	ADP
hjic-233	82	68	probability	probability	NOUN
hjic-233	82	69	1	1	NUM
hjic-233	82	70	–	–	PUNCT
hjic-233	82	71	α	α	NOUN
hjic-233	82	72	hence	hence	ADV
hjic-233	82	73	the	the	DET
hjic-233	82	74	processing	processing	NOUN
hjic-233	82	75	problem	problem	NOUN
hjic-233	82	76	can	can	AUX
hjic-233	82	77	be	be	AUX
hjic-233	82	78	solved	solve	VERB
hjic-233	82	79	theoretically	theoretically	ADV
hjic-233	82	80	.	.	PUNCT
hjic-233	83	1	the	the	DET
hjic-233	83	2	solution	solution	NOUN
hjic-233	83	3	will	will	AUX
hjic-233	83	4	be	be	AUX
hjic-233	83	5	provided	provide	VERB
hjic-233	83	6	by	by	ADP
hjic-233	83	7	taking	take	VERB
hjic-233	83	8	the	the	DET
hjic-233	83	9	inverse	inverse	NOUN
hjic-233	83	10	function	function	NOUN
hjic-233	83	11	of	of	ADP
hjic-233	83	12	φ(x,0	φ(x,0	PROPN
hjic-233	83	13	)	)	PUNCT
hjic-233	84	1	=	=	SYM
hjic-233	84	2	ψ(x	ψ(x	NOUN
hjic-233	84	3	)	)	PUNCT
hjic-233	84	4	at	at	ADP
hjic-233	84	5	point	point	NOUN
hjic-233	85	1	y	y	PROPN
hjic-233	85	2	=	=	SYM
hjic-233	85	3	α	α	PROPN
hjic-233	85	4	.	.	PUNCT
hjic-233	86	1	consequently	consequently	ADV
hjic-233	86	2	we	we	PRON
hjic-233	86	3	want	want	VERB
hjic-233	86	4	to	to	PART
hjic-233	86	5	determine	determine	VERB
hjic-233	86	6	the	the	DET
hjic-233	86	7	solution	solution	NOUN
hjic-233	86	8	of	of	ADP
hjic-233	86	9	equation	equation	NOUN
hjic-233	86	10	(	(	PUNCT
hjic-233	86	11	2	2	NUM
hjic-233	86	12	)	)	PUNCT
hjic-233	86	13	.	.	PUNCT
hjic-233	87	1	theorem	theorem	VERB
hjic-233	87	2	3	3	NUM
hjic-233	87	3	:	:	PUNCT
hjic-233	87	4	let	let	VERB
hjic-233	87	5	the	the	DET
hjic-233	87	6	random	random	ADJ
hjic-233	87	7	variables	variable	NOUN
hjic-233	87	8	be	be	VERB
hjic-233	87	9	the	the	DET
hjic-233	87	10	sum	sum	NOUN
hjic-233	87	11	of	of	ADP
hjic-233	87	12	n	n	CCONJ
hjic-233	87	13	independent	independent	ADJ
hjic-233	87	14	,	,	PUNCT
hjic-233	87	15	exponentially	exponentially	ADV
hjic-233	87	16	distributed	distribute	VERB
hjic-233	87	17	random	random	ADJ
hjic-233	87	18	variables	variable	NOUN
hjic-233	87	19	with	with	ADP
hjic-233	87	20	parameter	parameter	PROPN
hjic-233	87	21	λ	λ	PROPN
hjic-233	87	22	,	,	PUNCT
hjic-233	87	23	that	that	PRON
hjic-233	87	24	is	be	AUX
hjic-233	87	25	erlang(n	erlang(n	PRON
hjic-233	87	26	)	)	PUNCT
hjic-233	87	27	distributed	distribute	VERB
hjic-233	87	28	.	.	PUNCT
hjic-233	88	1	now	now	ADV
hjic-233	88	2	,	,	PUNCT
hjic-233	88	3	one	one	PRON
hjic-233	88	4	can	can	AUX
hjic-233	88	5	prove	prove	VERB
hjic-233	88	6	that	that	DET
hjic-233	88	7	equation	equation	NOUN
hjic-233	88	8	(	(	PUNCT
hjic-233	88	9	2	2	X
hjic-233	88	10	)	)	PUNCT
hjic-233	88	11	can	can	AUX
hjic-233	88	12	be	be	AUX
hjic-233	88	13	transformed	transform	VERB
hjic-233	88	14	into	into	ADP
hjic-233	88	15	the	the	DET
hjic-233	88	16	following	follow	VERB
hjic-233	88	17	form	form	NOUN
hjic-233	88	18	:	:	PUNCT
hjic-233	88	19	∫	∫	PROPN
hjic-233	88	20	∑	∑	PROPN
hjic-233	88	21	∞	∞	PROPN
hjic-233	88	22	−	−	PROPN
hjic-233	89	1	=	=	PUNCT
hjic-233	90	1	+	+	NOUN
hjic-233	90	2	⎟	⎟	X
hjic-233	90	3	⎠	⎠	X
hjic-233	90	4	⎞	⎞	AUX
hjic-233	90	5	⎜	⎜	PROPN
hjic-233	90	6	⎝	⎝	X
hjic-233	90	7	⎛=	⎛=	PROPN
hjic-233	90	8	=	=	NUM
hjic-233	90	9	⎟⎟	⎟⎟	ADJ
hjic-233	90	10	⎠	⎠	NOUN
hjic-233	90	11	⎞	⎞	NOUN
hjic-233	90	12	⎜⎜	⎜⎜	NOUN
hjic-233	90	13	⎝	⎝	PUNCT
hjic-233	90	14	⎛	⎛	X
hjic-233	90	15	⎟	⎟	PRON
hjic-233	90	16	⎠	⎠	X
hjic-233	90	17	⎞	⎞	VERB
hjic-233	90	18	⎜	⎜	PROPN
hjic-233	90	19	⎝	⎝	PUNCT
hjic-233	90	20	⎛	⎛	NOUN
hjic-233	90	21	+	+	NUM
hjic-233	90	22	∂	∂	NUM
hjic-233	90	23	∂	∂	NUM
hjic-233	90	24	0	0	NUM
hjic-233	90	25	0	0	NUM
hjic-233	90	26	)	)	PUNCT
hjic-233	90	27	(	(	PUNCT
hjic-233	90	28	)	)	PUNCT
hjic-233	90	29	,	,	PUNCT
hjic-233	90	30	(	(	PUNCT
hjic-233	90	31	)	)	PUNCT
hjic-233	90	32	,	,	PUNCT
hjic-233	90	33	(	(	PUNCT
hjic-233	90	34	dyygyx	dyygyx	ADP
hjic-233	90	35	c	c	PROPN
hjic-233	90	36	i	i	PRON
hjic-233	90	37	n	n	VERB
hjic-233	90	38	cx	cx	NOUN
hjic-233	90	39	x	x	SYM
hjic-233	90	40	n	n	PROPN
hjic-233	90	41	inn	inn	PROPN
hjic-233	91	1	i	i	PRON
hjic-233	91	2	i	i	PRON
hjic-233	92	1	i	i	PRON
hjic-233	92	2	δφλ	δφλ	VERB
hjic-233	92	3	λδδφ	λδδφ	ADJ
hjic-233	92	4	(	(	PUNCT
hjic-233	92	5	3	3	NUM
hjic-233	92	6	)	)	PUNCT
hjic-233	92	7	with	with	ADP
hjic-233	92	8	initial	initial	ADJ
hjic-233	92	9	conditions	condition	NOUN
hjic-233	93	1	i	i	PRON
hjic-233	93	2	x	x	VERB
hjic-233	94	1	i	i	PRON
hjic-233	94	2	i	i	PRON
hjic-233	94	3	cx	cx	VERB
hjic-233	95	1	x	x	X
hjic-233	95	2	⎟	⎟	X
hjic-233	95	3	⎠	⎠	X
hjic-233	95	4	⎞	⎞	PROPN
hjic-233	95	5	⎜	⎜	PROPN
hjic-233	95	6	⎝	⎝	X
hjic-233	95	7	⎛−=	⎛−=	PROPN
hjic-233	95	8	∂	∂	NUM
hjic-233	95	9	∂	∂	NOUN
hjic-233	95	10	=	=	NOUN
hjic-233	95	11	δδφ	δδφ	NOUN
hjic-233	95	12	0	0	NUM
hjic-233	95	13	)	)	PUNCT
hjic-233	95	14	,	,	PUNCT
hjic-233	95	15	(	(	PUNCT
hjic-233	95	16	1,	1,	NUM
hjic-233	95	17	...	...	PUNCT
hjic-233	95	18	,1,0	,1,0	PUNCT
hjic-233	95	19	−=	−=	VERB
hjic-233	95	20	ni	ni	PROPN
hjic-233	95	21	(	(	PUNCT
hjic-233	95	22	4	4	NUM
hjic-233	95	23	)	)	PUNCT
hjic-233	95	24	if	if	SCONJ
hjic-233	95	25	δ	δ	PROPN
hjic-233	95	26	>	>	X
hjic-233	95	27	0	0	PROPN
hjic-233	95	28	,	,	PUNCT
hjic-233	95	29	then	then	ADV
hjic-233	95	30	the	the	DET
hjic-233	95	31	function	function	NOUN
hjic-233	95	32	∑	∑	ADP
hjic-233	95	33	∑	∑	PROPN
hjic-233	95	34	=	=	SYM
hjic-233	95	35	−	−	PROPN
hjic-233	95	36	=	=	PUNCT
hjic-233	96	1	−=	−=	VERB
hjic-233	96	2	m	m	VERB
hjic-233	96	3	i	i	PRON
hjic-233	96	4	n	n	ADV
hjic-233	96	5	j	j	PROPN
hjic-233	97	1	xkj	xkj	INTJ
hjic-233	98	1	ij	ij	INTJ
hjic-233	98	2	i	i	PRON
hjic-233	98	3	iexcx	iexcx	VERB
hjic-233	98	4	1	1	NUM
hjic-233	98	5	1	1	NUM
hjic-233	98	6	0	0	NUM
hjic-233	98	7	)	)	PUNCT
hjic-233	98	8	(	(	PUNCT
hjic-233	98	9	)	)	PUNCT
hjic-233	98	10	(	(	PUNCT
hjic-233	98	11	)	)	PUNCT
hjic-233	98	12	,	,	PUNCT
hjic-233	98	13	(	(	PUNCT
hjic-233	98	14	δδδφ	δδδφ	NOUN
hjic-233	98	15	(	(	PUNCT
hjic-233	98	16	5	5	NUM
hjic-233	98	17	)	)	PUNCT
hjic-233	98	18	is	be	AUX
hjic-233	98	19	the	the	DET
hjic-233	98	20	unique	unique	ADJ
hjic-233	98	21	solution	solution	NOUN
hjic-233	98	22	of	of	ADP
hjic-233	98	23	equation	equation	NOUN
hjic-233	98	24	(	(	PUNCT
hjic-233	98	25	3	3	NUM
hjic-233	98	26	)	)	PUNCT
hjic-233	98	27	where	where	SCONJ
hjic-233	98	28	ki(δ	ki(δ	NOUN
hjic-233	98	29	)	)	PUNCT
hjic-233	98	30	is	be	AUX
hjic-233	98	31	the	the	DET
hjic-233	98	32	root	root	NOUN
hjic-233	98	33	of	of	ADP
hjic-233	98	34	the	the	DET
hjic-233	98	35	equation	equation	NOUN
hjic-233	98	36	∫	∫	PROPN
hjic-233	98	37	∞	∞	NUM
hjic-233	98	38	−	−	PROPN
hjic-233	99	1	=	=	SYM
hjic-233	99	2	⎟	⎟	X
hjic-233	99	3	⎠	⎠	X
hjic-233	99	4	⎞	⎞	VERB
hjic-233	99	5	⎜	⎜	PROPN
hjic-233	99	6	⎝	⎝	X
hjic-233	99	7	⎛−⎟	⎛−⎟	NUM
hjic-233	99	8	⎠	⎠	NOUN
hjic-233	99	9	⎞	⎞	X
hjic-233	99	10	⎜	⎜	PROPN
hjic-233	99	11	⎝	⎝	PUNCT
hjic-233	99	12	⎛	⎛	NOUN
hjic-233	99	13	−	−	PROPN
hjic-233	100	1	+	+	CCONJ
hjic-233	100	2	0	0	NUM
hjic-233	100	3	0	0	NUM
hjic-233	100	4	)	)	PUNCT
hjic-233	100	5	(	(	PUNCT
hjic-233	100	6	dyyge	dyyge	PROPN
hjic-233	100	7	c	c	PROPN
hjic-233	100	8	k	k	PROPN
hjic-233	100	9	c	c	PROPN
hjic-233	100	10	ky	ky	PROPN
hjic-233	100	11	nn	nn	PROPN
hjic-233	100	12	λλδ	λλδ	PROPN
hjic-233	100	13	,	,	PUNCT
hjic-233	100	14	(	(	PUNCT
hjic-233	100	15	6	6	NUM
hjic-233	100	16	)	)	PUNCT
hjic-233	100	17	which	which	PRON
hjic-233	100	18	is	be	AUX
hjic-233	100	19	the	the	DET
hjic-233	100	20	characteristic	characteristic	ADJ
hjic-233	100	21	equation	equation	NOUN
hjic-233	100	22	of	of	ADP
hjic-233	100	23	equation	equation	NOUN
hjic-233	100	24	(	(	PUNCT
hjic-233	100	25	3	3	NUM
hjic-233	100	26	)	)	PUNCT
hjic-233	100	27	.	.	PUNCT
hjic-233	101	1	the	the	DET
hjic-233	101	2	multiplicity	multiplicity	NOUN
hjic-233	101	3	of	of	ADP
hjic-233	101	4	ki(δ	ki(δ	NOUN
hjic-233	101	5	)	)	PUNCT
hjic-233	101	6	is	be	AUX
hjic-233	101	7	ni	ni	PROPN
hjic-233	101	8	,	,	PUNCT
hjic-233	101	9	and	and	CCONJ
hjic-233	101	10	∑	∑	PUNCT
hjic-233	101	11	=	=	PUNCT
hjic-233	102	1	=	=	PUNCT
hjic-233	102	2	m	m	VERB
hjic-233	102	3	i	i	INTJ
hjic-233	102	4	i	i	INTJ
hjic-233	102	5	nn	nn	PROPN
hjic-233	102	6	1	1	NUM
hjic-233	102	7	.	.	PUNCT
hjic-233	103	1	the	the	DET
hjic-233	103	2	constant	constant	ADJ
hjic-233	103	3	values	value	NOUN
hjic-233	103	4	cij(δ	cij(δ	PROPN
hjic-233	103	5	)	)	PUNCT
hjic-233	103	6	can	can	AUX
hjic-233	103	7	be	be	AUX
hjic-233	103	8	uniquely	uniquely	ADV
hjic-233	103	9	determined	determined	ADJ
hjic-233	103	10	from	from	ADP
hjic-233	103	11	(	(	PUNCT
hjic-233	103	12	4	4	NUM
hjic-233	103	13	)	)	PUNCT
hjic-233	103	14	by	by	ADP
hjic-233	103	15	solving	solve	VERB
hjic-233	103	16	a	a	DET
hjic-233	103	17	system	system	NOUN
hjic-233	103	18	of	of	ADP
hjic-233	103	19	linear	linear	PROPN
hjic-233	103	20	equations	equation	NOUN
hjic-233	103	21	.	.	PUNCT
hjic-233	104	1	if	if	SCONJ
hjic-233	104	2	the	the	DET
hjic-233	104	3	limit	limit	NOUN
hjic-233	104	4	)	)	PUNCT
hjic-233	104	5	(	(	PUNCT
hjic-233	104	6	lim)0	lim)0	NOUN
hjic-233	104	7	(	(	PUNCT
hjic-233	104	8	0	0	NUM
hjic-233	104	9	δ	δ	PROPN
hjic-233	104	10	δ	δ	PROPN
hjic-233	104	11	ii	ii	NOUN
hjic-233	104	12	kk	kk	X
hjic-233	105	1	+	+	PROPN
hjic-233	105	2	→	→	SYM
hjic-233	105	3	=	=	SYM
hjic-233	105	4	(	(	PUNCT
hjic-233	105	5	i=1	i=1	X
hjic-233	105	6	,	,	PUNCT
hjic-233	105	7	…	…	PUNCT
hjic-233	105	8	,	,	PUNCT
hjic-233	105	9	m	m	NOUN
hjic-233	105	10	)	)	PUNCT
hjic-233	105	11	exists	exist	VERB
hjic-233	105	12	,	,	PUNCT
hjic-233	105	13	then	then	ADV
hjic-233	105	14	∑∑	∑∑	PROPN
hjic-233	105	15	=	=	PUNCT
hjic-233	106	1	−	−	PUNCT
hjic-233	106	2	=	=	PUNCT
hjic-233	107	1	−=	−=	VERB
hjic-233	107	2	m	m	VERB
hjic-233	107	3	i	i	PRON
hjic-233	107	4	n	n	ADV
hjic-233	107	5	j	j	PROPN
hjic-233	108	1	xkj	xkj	INTJ
hjic-233	109	1	ij	ij	INTJ
hjic-233	109	2	i	i	PRON
hjic-233	109	3	iexcx	iexcx	VERB
hjic-233	109	4	1	1	NUM
hjic-233	109	5	1	1	NUM
hjic-233	109	6	0	0	NUM
hjic-233	109	7	)	)	PUNCT
hjic-233	109	8	0()0()(ψ	0()0()(ψ	PROPN
hjic-233	109	9	and	and	CCONJ
hjic-233	109	10	)	)	PUNCT
hjic-233	109	11	(	(	PUNCT
hjic-233	109	12	lim)0	lim)0	NOUN
hjic-233	109	13	(	(	PUNCT
hjic-233	109	14	0	0	NUM
hjic-233	109	15	δ	δ	PROPN
hjic-233	109	16	δ	δ	NOUN
hjic-233	109	17	ijij	ijij	NOUN
hjic-233	109	18	cc	cc	ADP
hjic-233	109	19	+	+	PROPN
hjic-233	109	20	→	→	SYM
hjic-233	109	21	=	=	SYM
hjic-233	109	22	.	.	PUNCT
hjic-233	110	1	corollary	corollary	ADJ
hjic-233	110	2	:	:	PUNCT
hjic-233	110	3	if	if	SCONJ
hjic-233	110	4	the	the	DET
hjic-233	110	5	assumptions	assumption	NOUN
hjic-233	110	6	of	of	ADP
hjic-233	110	7	theorem	theorem	ADJ
hjic-233	110	8	3	3	NUM
hjic-233	110	9	are	be	AUX
hjic-233	110	10	valid	valid	ADJ
hjic-233	110	11	and	and	CCONJ
hjic-233	110	12	the	the	DET
hjic-233	110	13	roots	root	NOUN
hjic-233	110	14	of	of	ADP
hjic-233	110	15	characteristic	characteristic	ADJ
hjic-233	110	16	equation	equation	NOUN
hjic-233	110	17	are	be	AUX
hjic-233	110	18	of	of	ADP
hjic-233	110	19	multiplicity	multiplicity	NOUN
hjic-233	110	20	1	1	NUM
hjic-233	110	21	,	,	PUNCT
hjic-233	110	22	then	then	ADV
hjic-233	110	23	∑	∑	ADP
hjic-233	110	24	=	=	PUNCT
hjic-233	110	25	−=	−=	NOUN
hjic-233	110	26	n	n	PROPN
hjic-233	111	1	i	i	PRON
hjic-233	111	2	xk	xk	INTJ
hjic-233	112	1	i	i	PRON
hjic-233	112	2	iecx	iecx	VERB
hjic-233	112	3	1	1	NUM
hjic-233	112	4	)	)	PUNCT
hjic-233	112	5	(	(	PUNCT
hjic-233	112	6	)	)	PUNCT
hjic-233	112	7	(	(	PUNCT
hjic-233	112	8	)	)	PUNCT
hjic-233	112	9	,	,	PUNCT
hjic-233	112	10	(	(	PUNCT
hjic-233	112	11	δδδφ	δδδφ	NOUN
hjic-233	112	12	and	and	CCONJ
hjic-233	112	13	∑	∑	PUNCT
hjic-233	112	14	=	=	PUNCT
hjic-233	112	15	−=	−=	NOUN
hjic-233	112	16	n	n	PROPN
hjic-233	113	1	i	i	PRON
hjic-233	113	2	xk	xk	INTJ
hjic-233	114	1	i	i	PRON
hjic-233	114	2	iecx	iecx	VERB
hjic-233	114	3	1	1	NUM
hjic-233	114	4	)	)	PUNCT
hjic-233	114	5	0()0()(ψ	0()0()(ψ	PROPN
hjic-233	114	6	.	.	PUNCT
hjic-233	115	1	now	now	ADV
hjic-233	115	2	xk	xk	PROPN
hjic-233	116	1	n	n	PROPN
hjic-233	116	2	i	i	PRON
hjic-233	116	3	iiixtv	iiixtv	VERB
hjic-233	116	4	i	i	PRON
hjic-233	116	5	v	v	VERB
hjic-233	116	6	ecxkcxte	ecxkcxte	NOUN
hjic-233	116	7	)	)	PUNCT
hjic-233	116	8	0	0	PUNCT
hjic-233	117	1	(	(	PUNCT
hjic-233	117	2	1	1	NUM
hjic-233	117	3	''	''	PUNCT
hjic-233	117	4	)	)	PUNCT
hjic-233	117	5	(	(	PUNCT
hjic-233	117	6	)	)	PUNCT
hjic-233	117	7	)	)	PUNCT
hjic-233	117	8	0()0()0(()1	0()0()0(()1	NUM
hjic-233	117	9	)	)	PUNCT
hjic-233	117	10	(	(	PUNCT
hjic-233	117	11	(	(	PUNCT
hjic-233	117	12	−	−	PUNCT
hjic-233	117	13	=	=	SYM
hjic-233	117	14	∞	∞	PROPN
hjic-233	117	15	<	<	X
hjic-233	117	16	∑	∑	PUNCT
hjic-233	117	17	−−=	−−=	PROPN
hjic-233	117	18	where	where	SCONJ
hjic-233	117	19	1	1	NUM
hjic-233	117	20	0	0	NUM
hjic-233	117	21	)	)	PUNCT
hjic-233	117	22	0	0	NUM
hjic-233	117	23	(	(	PUNCT
hjic-233	117	24	1	1	NUM
hjic-233	117	25	'	'	PUNCT
hjic-233	117	26	)	)	PUNCT
hjic-233	117	27	0	0	NUM
hjic-233	117	28	(	(	PUNCT
hjic-233	117	29	)	)	PUNCT
hjic-233	117	30	(	(	PUNCT
hjic-233	117	31	)	)	PUNCT
hjic-233	117	32	0	0	NUM
hjic-233	117	33	(	(	PUNCT
hjic-233	117	34	)	)	PUNCT
hjic-233	117	35	0	0	NUM
hjic-233	117	36	(	(	PUNCT
hjic-233	117	37	−∞	−∞	X
hjic-233	117	38	−	−	PROPN
hjic-233	117	39	−	−	X
hjic-233	118	1	⎟	⎟	X
hjic-233	118	2	⎠	⎠	X
hjic-233	118	3	⎞	⎞	VERB
hjic-233	118	4	⎜	⎜	PROPN
hjic-233	118	5	⎝	⎝	PUNCT
hjic-233	118	6	⎛	⎛	NOUN
hjic-233	118	7	−−⎟	−−⎟	NOUN
hjic-233	118	8	⎠	⎠	NOUN
hjic-233	118	9	⎞	⎞	NOUN
hjic-233	118	10	⎜	⎜	PROPN
hjic-233	118	11	⎝	⎝	PUNCT
hjic-233	118	12	⎛	⎛	X
hjic-233	118	13	⎟	⎟	PRON
hjic-233	118	14	⎠	⎠	X
hjic-233	118	15	⎞	⎞	VERB
hjic-233	118	16	⎜	⎜	PROPN
hjic-233	118	17	⎝	⎝	PUNCT
hjic-233	118	18	⎛	⎛	NOUN
hjic-233	118	19	−	−	NOUN
hjic-233	118	20	=	=	SYM
hjic-233	119	1	=	=	SYM
hjic-233	119	2	∫	∫	PROPN
hjic-233	120	1	n	n	CCONJ
hjic-233	120	2	i	i	PRON
hjic-233	120	3	yk	yk	PROPN
hjic-233	120	4	n	n	CCONJ
hjic-233	121	1	n	n	ADV
hjic-233	122	1	i	i	PRON
hjic-233	123	1	i	i	INTJ
hjic-233	123	2	k	k	PROPN
hjic-233	123	3	c	c	PROPN
hjic-233	123	4	ndyyyge	ndyyyge	VERB
hjic-233	124	1	c	c	PROPN
hjic-233	124	2	k	k	PROPN
hjic-233	124	3	cc	cc	PROPN
hjic-233	124	4	n	n	PROPN
hjic-233	124	5	k	k	NOUN
hjic-233	125	1	i	i	PRON
hjic-233	125	2	λλ	λλ	INTJ
hjic-233	125	3	λ	λ	X
hjic-233	125	4	especially	especially	ADV
hjic-233	125	5	,	,	PUNCT
hjic-233	125	6	if	if	SCONJ
hjic-233	125	7	n	n	NOUN
hjic-233	125	8	=	=	SYM
hjic-233	125	9	1	1	NUM
hjic-233	125	10	,	,	PUNCT
hjic-233	125	11	that	that	PRON
hjic-233	125	12	is	be	AUX
hjic-233	125	13	the	the	DET
hjic-233	125	14	inter	inter	ADJ
hjic-233	125	15	-	-	NOUN
hjic-233	125	16	arrival	arrival	ADJ
hjic-233	125	17	times	time	NOUN
hjic-233	125	18	are	be	AUX
hjic-233	125	19	exponentially	exponentially	ADV
hjic-233	125	20	distributed	distribute	VERB
hjic-233	125	21	,	,	PUNCT
hjic-233	125	22	then	then	ADV
hjic-233	125	23	xkex	xkex	ADJ
hjic-233	125	24	)	)	PUNCT
hjic-233	125	25	(	(	PUNCT
hjic-233	125	26	1	1	NUM
hjic-233	125	27	)	)	PUNCT
hjic-233	125	28	,	,	PUNCT
hjic-233	125	29	(	(	PUNCT
hjic-233	125	30	δδφ	δδφ	NOUN
hjic-233	125	31	−=	−=	NOUN
hjic-233	125	32	(	(	PUNCT
hjic-233	125	33	7	7	X
hjic-233	125	34	)	)	PUNCT
hjic-233	125	35	xkex	xkex	ADJ
hjic-233	125	36	)	)	PUNCT
hjic-233	125	37	0(1	0(1	NUM
hjic-233	125	38	)	)	PUNCT
hjic-233	125	39	(	(	PUNCT
hjic-233	125	40	−=ψ	−=ψ	X
hjic-233	125	41	(	(	PUNCT
hjic-233	125	42	8)	8)	NUM
hjic-233	125	43	xk	xk	PROPN
hjic-233	125	44	yk	yk	PROPN
hjic-233	125	45	tv	tv	PROPN
hjic-233	125	46	e	e	PROPN
hjic-233	125	47	dyyygec	dyyygec	NOUN
hjic-233	125	48	xxte	xxte	PROPN
hjic-233	126	1	i	i	PRON
hjic-233	126	2	v	v	NOUN
hjic-233	126	3	)	)	PUNCT
hjic-233	126	4	0	0	NUM
hjic-233	126	5	(	(	PUNCT
hjic-233	126	6	0	0	NUM
hjic-233	126	7	)	)	PUNCT
hjic-233	126	8	0	0	NUM
hjic-233	126	9	(	(	PUNCT
hjic-233	126	10	1	1	NUM
hjic-233	126	11	)	)	PUNCT
hjic-233	126	12	(	(	PUNCT
hjic-233	126	13	)	)	PUNCT
hjic-233	126	14	1	1	X
hjic-233	126	15	)	)	PUNCT
hjic-233	126	16	(	(	PUNCT
hjic-233	126	17	(	(	PUNCT
hjic-233	126	18	−	−	PROPN
hjic-233	126	19	∞	∞	NUM
hjic-233	126	20	−	−	PROPN
hjic-233	126	21	∞	∞	X
hjic-233	127	1	<	<	X
hjic-233	127	2	∫−	∫−	PROPN
hjic-233	127	3	=	=	PUNCT
hjic-233	127	4	λ	λ	X
hjic-233	127	5	.	.	PUNCT
hjic-233	128	1	(	(	PUNCT
hjic-233	128	2	9	9	X
hjic-233	128	3	)	)	PUNCT
hjic-233	128	4	if	if	SCONJ
hjic-233	128	5	yk	yk	PROPN
hjic-233	128	6	is	be	AUX
hjic-233	128	7	exponentially	exponentially	ADV
hjic-233	128	8	distributed	distribute	VERB
hjic-233	128	9	,	,	PUNCT
hjic-233	128	10	that	that	ADV
hjic-233	128	11	is	be	AUX
hjic-233	128	12	0,1	0,1	NUM
hjic-233	128	13	)	)	PUNCT
hjic-233	128	14	(	(	PUNCT
hjic-233	128	15	1	1	NUM
hjic-233	128	16	≥=	≥=	PROPN
hjic-233	128	17	−	−	PROPN
hjic-233	128	18	yeyg	yeyg	NOUN
hjic-233	128	19	y	y	PROPN
hjic-233	128	20	g	g	PROPN
hjic-233	128	21	gμ	gμ	ADP
hjic-233	128	22	μ	μ	PROPN
hjic-233	128	23	,	,	PUNCT
hjic-233	128	24	then	then	ADV
hjic-233	128	25	92	92	NUM
hjic-233	128	26	x	x	SYM
hjic-233	128	27	c	c	X
hjic-233	128	28	ccc	ccc	PROPN
hjic-233	128	29	ggg	ggg	VERB
hjic-233	128	30	ex	ex	X
hjic-233	128	31	2	2	NUM
hjic-233	128	32	4	4	NUM
hjic-233	128	33	)	)	PUNCT
hjic-233	128	34	(	(	PUNCT
hjic-233	128	35	)	)	PUNCT
hjic-233	128	36	(	(	PUNCT
hjic-233	128	37	2	2	NUM
hjic-233	128	38	)	)	PUNCT
hjic-233	128	39	,	,	PUNCT
hjic-233	128	40	(	(	PUNCT
hjic-233	128	41	μ	μ	PROPN
hjic-233	128	42	δδλ	δδλ	PROPN
hjic-233	128	43	μ	μ	PROPN
hjic-233	128	44	δλ	δλ	PROPN
hjic-233	128	45	μ	μ	PROPN
hjic-233	128	46	δφ	δφ	PROPN
hjic-233	128	47	+	+	PROPN
hjic-233	128	48	−−+−−−	−−+−−−	PROPN
hjic-233	128	49	−	−	PROPN
hjic-233	129	1	=	=	SYM
hjic-233	129	2	(	(	PUNCT
hjic-233	129	3	10	10	NUM
hjic-233	129	4	)	)	PUNCT
hjic-233	129	5	x	x	X
hjic-233	129	6	c	c	PROPN
hjic-233	129	7	gex	gex	PROPN
hjic-233	129	8	)	)	PUNCT
hjic-233	129	9	1	1	NUM
hjic-233	129	10	(	(	PUNCT
hjic-233	129	11	)	)	PUNCT
hjic-233	129	12	(	(	PUNCT
hjic-233	129	13	μ	μ	PROPN
hjic-233	129	14	λ	λ	PROPN
hjic-233	129	15	ψ	ψ	NOUN
hjic-233	129	16	−−	−−	NOUN
hjic-233	129	17	=	=	SYM
hjic-233	129	18	(	(	PUNCT
hjic-233	129	19	11	11	NUM
hjic-233	129	20	)	)	PUNCT
hjic-233	129	21	x	x	X
hjic-233	130	1	c	c	NOUN
hjic-233	130	2	g	g	NOUN
hjic-233	130	3	g	g	PROPN
hjic-233	130	4	tv	tv	NOUN
hjic-233	130	5	g	g	PROPN
hjic-233	130	6	v	v	ADP
hjic-233	130	7	e	e	X
hjic-233	130	8	cc	cc	PROPN
hjic-233	130	9	x	x	PROPN
hjic-233	130	10	xte	xte	PROPN
hjic-233	130	11	)	)	PUNCT
hjic-233	130	12	1	1	NUM
hjic-233	130	13	(	(	PUNCT
hjic-233	130	14	)	)	PUNCT
hjic-233	130	15	(	(	PUNCT
hjic-233	130	16	)	)	PUNCT
hjic-233	130	17	1	1	X
hjic-233	130	18	)	)	PUNCT
hjic-233	130	19	(	(	PUNCT
hjic-233	130	20	(	(	PUNCT
hjic-233	130	21	μ	μ	NOUN
hjic-233	130	22	λ	λ	PROPN
hjic-233	130	23	λμ	λμ	X
hjic-233	130	24	λμ	λμ	PROPN
hjic-233	130	25	−−	−−	PROPN
hjic-233	130	26	∞	∞	PROPN
hjic-233	130	27	<	<	X
hjic-233	130	28	−	−	PROPN
hjic-233	130	29	=	=	PUNCT
hjic-233	130	30	.	.	PUNCT
hjic-233	131	1	(	(	PUNCT
hjic-233	131	2	12	12	NUM
hjic-233	131	3	)	)	PUNCT
hjic-233	131	4	in	in	ADP
hjic-233	131	5	the	the	DET
hjic-233	131	6	case	case	NOUN
hjic-233	131	7	when	when	SCONJ
hjic-233	131	8	g(y	g(y	NOUN
hjic-233	131	9	)	)	PUNCT
hjic-233	131	10	is	be	AUX
hjic-233	131	11	a	a	DET
hjic-233	131	12	dirac	dirac	NOUN
hjic-233	131	13	-	-	PUNCT
hjic-233	131	14	delta	delta	NOUN
hjic-233	131	15	function	function	NOUN
hjic-233	131	16	at	at	ADP
hjic-233	131	17	y	y	PROPN
hjic-233	131	18	=	=	SYM
hjic-233	131	19	1	1	NUM
hjic-233	131	20	,	,	PUNCT
hjic-233	131	21	that	that	PRON
hjic-233	131	22	is	is	ADV
hjic-233	131	23	yk	yk	PROPN
hjic-233	131	24	≡	≡	PROPN
hjic-233	131	25	1	1	NUM
hjic-233	131	26	,	,	PUNCT
hjic-233	131	27	then	then	ADV
hjic-233	131	28	an	an	DET
hjic-233	131	29	equation	equation	NOUN
hjic-233	131	30	corresponding	correspond	VERB
hjic-233	131	31	to	to	ADP
hjic-233	131	32	equation(2	equation(2	PROPN
hjic-233	131	33	)	)	PUNCT
hjic-233	131	34	can	can	AUX
hjic-233	131	35	be	be	AUX
hjic-233	131	36	set	set	VERB
hjic-233	131	37	up	up	ADP
hjic-233	131	38	by	by	ADP
hjic-233	131	39	similar	similar	ADJ
hjic-233	131	40	argumentation	argumentation	NOUN
hjic-233	131	41	and	and	CCONJ
hjic-233	131	42	its	its	PRON
hjic-233	131	43	solution	solution	NOUN
hjic-233	131	44	expressed	express	VERB
hjic-233	131	45	as	as	ADP
hjic-233	131	46	xkex	xkex	ADJ
hjic-233	131	47	)	)	PUNCT
hjic-233	131	48	(	(	PUNCT
hjic-233	131	49	1	1	NUM
hjic-233	131	50	)	)	PUNCT
hjic-233	131	51	,	,	PUNCT
hjic-233	131	52	(	(	PUNCT
hjic-233	131	53	δδφ	δδφ	NOUN
hjic-233	131	54	−=	−=	NOUN
hjic-233	131	55	(	(	PUNCT
hjic-233	131	56	13	13	NUM
hjic-233	131	57	)	)	PUNCT
hjic-233	131	58	xkex	xkex	ADJ
hjic-233	131	59	)	)	PUNCT
hjic-233	131	60	0(1	0(1	NUM
hjic-233	131	61	)	)	PUNCT
hjic-233	131	62	(	(	PUNCT
hjic-233	131	63	−=ψ	−=ψ	X
hjic-233	131	64	(	(	PUNCT
hjic-233	131	65	14	14	NUM
hjic-233	131	66	)	)	PUNCT
hjic-233	132	1	xk	xk	PROPN
hjic-233	132	2	tv	tv	PROPN
hjic-233	132	3	e	e	PROPN
hjic-233	132	4	kc	kc	PROPN
hjic-233	132	5	xxte	xxte	PROPN
hjic-233	132	6	v	v	PROPN
hjic-233	132	7	)	)	PUNCT
hjic-233	132	8	0	0	NUM
hjic-233	132	9	(	(	PUNCT
hjic-233	132	10	1	1	NUM
hjic-233	132	11	1	1	NUM
hjic-233	132	12	)	)	PUNCT
hjic-233	132	13	)	)	PUNCT
hjic-233	132	14	0(1	0(1	NUM
hjic-233	132	15	(	(	PUNCT
hjic-233	132	16	)	)	PUNCT
hjic-233	132	17	1	1	NUM
hjic-233	132	18	)	)	PUNCT
hjic-233	132	19	(	(	PUNCT
hjic-233	132	20	(	(	PUNCT
hjic-233	132	21	−	−	PROPN
hjic-233	132	22	∞	∞	PROPN
hjic-233	132	23	<	<	X
hjic-233	132	24	−+	−+	PROPN
hjic-233	132	25	=	=	SYM
hjic-233	132	26	λ	λ	PROPN
hjic-233	132	27	,	,	PUNCT
hjic-233	132	28	(	(	PUNCT
hjic-233	132	29	15	15	NUM
hjic-233	132	30	)	)	PUNCT
hjic-233	132	31	where	where	SCONJ
hjic-233	132	32	k1(δ	k1(δ	X
hjic-233	132	33	)	)	PUNCT
hjic-233	132	34	is	be	AUX
hjic-233	132	35	the	the	DET
hjic-233	132	36	unique	unique	ADJ
hjic-233	132	37	root	root	NOUN
hjic-233	132	38	with	with	ADP
hjic-233	132	39	positive	positive	ADJ
hjic-233	132	40	real	real	ADJ
hjic-233	132	41	part	part	NOUN
hjic-233	132	42	of	of	ADP
hjic-233	132	43	the	the	DET
hjic-233	132	44	characteristic	characteristic	ADJ
hjic-233	132	45	equation	equation	NOUN
hjic-233	132	46	0=−−	0=−−	NOUN
hjic-233	132	47	+	+	CCONJ
hjic-233	132	48	−ke	−ke	PROPN
hjic-233	133	1	c	c	PROPN
hjic-233	133	2	k	k	PROPN
hjic-233	134	1	c	c	PROPN
hjic-233	134	2	λλδ	λλδ	NOUN
hjic-233	134	3	(	(	PUNCT
hjic-233	134	4	16	16	NUM
hjic-233	134	5	)	)	PUNCT
hjic-233	134	6	for	for	ADP
hjic-233	134	7	δ	δ	PROPN
hjic-233	134	8	≥	≥	NUM
hjic-233	134	9	0	0	NUM
hjic-233	134	10	.	.	PUNCT
hjic-233	135	1	we	we	PRON
hjic-233	135	2	note	note	VERB
hjic-233	135	3	that	that	SCONJ
hjic-233	135	4	as	as	ADP
hjic-233	135	5	ψ(x	ψ(x	NOUN
hjic-233	135	6	)	)	PUNCT
hjic-233	135	7	is	be	AUX
hjic-233	135	8	exponential	exponential	ADJ
hjic-233	135	9	function	function	NOUN
hjic-233	135	10	in	in	ADP
hjic-233	135	11	both	both	DET
hjic-233	135	12	cases	case	NOUN
hjic-233	135	13	,	,	PUNCT
hjic-233	135	14	consequently	consequently	ADV
hjic-233	135	15	its	its	PRON
hjic-233	135	16	inverse	inverse	NOUN
hjic-233	135	17	function	function	NOUN
hjic-233	135	18	can	can	AUX
hjic-233	135	19	be	be	AUX
hjic-233	135	20	analytically	analytically	ADV
hjic-233	135	21	determined	determine	VERB
hjic-233	135	22	easily	easily	ADV
hjic-233	135	23	.	.	PUNCT
hjic-233	136	1	numerical	numerical	ADJ
hjic-233	136	2	results	result	NOUN
hjic-233	136	3	we	we	PRON
hjic-233	136	4	discuss	discuss	VERB
hjic-233	136	5	some	some	DET
hjic-233	136	6	examples	example	NOUN
hjic-233	136	7	of	of	ADP
hjic-233	136	8	functions	function	NOUN
hjic-233	136	9	presented	present	VERB
hjic-233	136	10	in	in	ADP
hjic-233	136	11	the	the	DET
hjic-233	136	12	previous	previous	ADJ
hjic-233	136	13	sections	section	NOUN
hjic-233	136	14	.	.	PUNCT
hjic-233	137	1	fig	fig	NOUN
hjic-233	137	2	.	.	PUNCT
hjic-233	138	1	2	2	NUM
hjic-233	138	2	shows	show	VERB
hjic-233	138	3	the	the	DET
hjic-233	138	4	function	function	NOUN
hjic-233	138	5	φ(x	φ(x	PROPN
hjic-233	138	6	,	,	PUNCT
hjic-233	138	7	δ	δ	PROPN
hjic-233	138	8	)	)	PUNCT
hjic-233	138	9	determined	determine	VERB
hjic-233	138	10	by	by	ADP
hjic-233	138	11	expression	expression	NOUN
hjic-233	138	12	(	(	PUNCT
hjic-233	138	13	13	13	NUM
hjic-233	138	14	)	)	PUNCT
hjic-233	138	15	in	in	ADP
hjic-233	138	16	the	the	DET
hjic-233	138	17	case	case	NOUN
hjic-233	138	18	of	of	ADP
hjic-233	138	19	exponentially	exponentially	ADV
hjic-233	138	20	distributed	distribute	VERB
hjic-233	138	21	time	time	NOUN
hjic-233	138	22	interval	interval	PROPN
hjic-233	138	23	tk	tk	PROPN
hjic-233	138	24	with	with	ADP
hjic-233	138	25	expected	expect	VERB
hjic-233	138	26	value	value	NOUN
hjic-233	138	27	μf	μf	NOUN
hjic-233	138	28	=	=	SYM
hjic-233	138	29	0.5	0.5	NUM
hjic-233	138	30	(	(	PUNCT
hjic-233	138	31	λ	λ	X
hjic-233	138	32	=	=	NOUN
hjic-233	138	33	2	2	NUM
hjic-233	138	34	)	)	PUNCT
hjic-233	138	35	,	,	PUNCT
hjic-233	138	36	constant	constant	ADJ
hjic-233	138	37	amount	amount	NOUN
hjic-233	138	38	of	of	ADP
hjic-233	138	39	filled	fill	VERB
hjic-233	138	40	material	material	NOUN
hjic-233	138	41	yk	yk	NOUN
hjic-233	138	42	=	=	SYM
hjic-233	138	43	1	1	NUM
hjic-233	138	44	and	and	CCONJ
hjic-233	138	45	constant	constant	ADJ
hjic-233	138	46	withdrawing	withdrawing	NOUN
hjic-233	138	47	rate	rate	NOUN
hjic-233	138	48	c	c	NOUN
hjic-233	138	49	=	=	SYM
hjic-233	138	50	1	1	X
hjic-233	138	51	.	.	PUNCT
hjic-233	139	1	here	here	ADV
hjic-233	139	2	,	,	PUNCT
hjic-233	139	3	x	x	X
hjic-233	139	4	is	be	AUX
hjic-233	139	5	the	the	DET
hjic-233	139	6	initial	initial	ADJ
hjic-233	139	7	amount	amount	NOUN
hjic-233	139	8	of	of	ADP
hjic-233	139	9	material	material	NOUN
hjic-233	139	10	and	and	CCONJ
hjic-233	139	11	δ	δ	PROPN
hjic-233	139	12	is	be	AUX
hjic-233	139	13	a	a	DET
hjic-233	139	14	parameter	parameter	NOUN
hjic-233	139	15	.	.	PUNCT
hjic-233	140	1	the	the	DET
hjic-233	140	2	exponent	exponent	PROPN
hjic-233	140	3	k1(δ	k1(δ	PROPN
hjic-233	140	4	)	)	PUNCT
hjic-233	140	5	was	be	AUX
hjic-233	140	6	computed	compute	VERB
hjic-233	140	7	numerically	numerically	ADV
hjic-233	140	8	from	from	ADP
hjic-233	140	9	formula	formula	NOUN
hjic-233	140	10	(	(	PUNCT
hjic-233	140	11	16	16	NUM
hjic-233	140	12	)	)	PUNCT
hjic-233	140	13	.	.	PUNCT
hjic-233	141	1	figure	figure	VERB
hjic-233	141	2	2	2	NUM
hjic-233	141	3	:	:	PUNCT
hjic-233	141	4	the	the	DET
hjic-233	141	5	form	form	NOUN
hjic-233	141	6	of	of	ADP
hjic-233	141	7	function	function	NOUN
hjic-233	141	8	φ(x	φ(x	PROPN
hjic-233	141	9	,	,	PUNCT
hjic-233	141	10	δ	δ	NOUN
hjic-233	141	11	)	)	PUNCT
hjic-233	141	12	depending	depend	VERB
hjic-233	141	13	on	on	ADP
hjic-233	141	14	the	the	DET
hjic-233	141	15	initial	initial	ADJ
hjic-233	141	16	amount	amount	NOUN
hjic-233	141	17	of	of	ADP
hjic-233	141	18	material	material	NOUN
hjic-233	141	19	x	x	NOUN
hjic-233	141	20	and	and	CCONJ
hjic-233	141	21	parameter	parameter	PROPN
hjic-233	141	22	δ	δ	PROPN
hjic-233	141	23	fig	fig	NOUN
hjic-233	141	24	.	.	PUNCT
hjic-233	142	1	3	3	NUM
hjic-233	142	2	demonstrates	demonstrate	VERB
hjic-233	142	3	φ(x,0	φ(x,0	PROPN
hjic-233	142	4	)	)	PUNCT
hjic-233	142	5	=	=	SYM
hjic-233	142	6	ψ(x	ψ(x	NOUN
hjic-233	142	7	)	)	PUNCT
hjic-233	142	8	using	use	VERB
hjic-233	142	9	the	the	DET
hjic-233	142	10	previously	previously	ADV
hjic-233	142	11	given	give	VERB
hjic-233	142	12	parameters	parameter	NOUN
hjic-233	142	13	.	.	PUNCT
hjic-233	143	1	the	the	DET
hjic-233	143	2	exponent	exponent	NOUN
hjic-233	143	3	in	in	ADP
hjic-233	143	4	expression	expression	NOUN
hjic-233	143	5	(	(	PUNCT
hjic-233	143	6	14	14	NUM
hjic-233	143	7	)	)	PUNCT
hjic-233	143	8	is	be	AUX
hjic-233	143	9	actually	actually	ADV
hjic-233	143	10	1.5936	1.5936	NUM
hjic-233	143	11	.	.	PUNCT
hjic-233	143	12	0	0	NUM
hjic-233	143	13	0.5	0.5	NUM
hjic-233	143	14	1	1	NUM
hjic-233	143	15	1.5	1.5	NUM
hjic-233	143	16	2	2	NUM
hjic-233	143	17	2.5	2.5	NUM
hjic-233	143	18	3	3	NUM
hjic-233	143	19	0	0	NUM
hjic-233	143	20	0.1	0.1	NUM
hjic-233	143	21	0.2	0.2	NUM
hjic-233	143	22	0.3	0.3	NUM
hjic-233	143	23	0.4	0.4	NUM
hjic-233	143	24	0.5	0.5	NUM
hjic-233	143	25	0.6	0.6	NUM
hjic-233	143	26	0.7	0.7	NUM
hjic-233	143	27	0.8	0.8	NUM
hjic-233	143	28	0.9	0.9	NUM
hjic-233	143	29	1	1	NUM
hjic-233	143	30	figure	figure	NOUN
hjic-233	143	31	3	3	NUM
hjic-233	143	32	:	:	PUNCT
hjic-233	143	33	diagram	diagram	NOUN
hjic-233	143	34	of	of	ADP
hjic-233	143	35	function	function	NOUN
hjic-233	143	36	ψ(x	ψ(x	NOUN
hjic-233	143	37	)	)	PUNCT
hjic-233	143	38	describing	describe	VERB
hjic-233	143	39	the	the	DET
hjic-233	143	40	probability	probability	NOUN
hjic-233	143	41	of	of	ADP
hjic-233	143	42	running	run	VERB
hjic-233	143	43	out	out	ADP
hjic-233	143	44	of	of	ADP
hjic-233	143	45	the	the	DET
hjic-233	143	46	material	material	NOUN
hjic-233	143	47	depending	depend	VERB
hjic-233	143	48	on	on	ADP
hjic-233	143	49	the	the	DET
hjic-233	143	50	initial	initial	ADJ
hjic-233	143	51	amount	amount	NOUN
hjic-233	143	52	of	of	ADP
hjic-233	143	53	material	material	NOUN
hjic-233	143	54	the	the	DET
hjic-233	143	55	inverse	inverse	NOUN
hjic-233	143	56	function	function	NOUN
hjic-233	143	57	of	of	ADP
hjic-233	143	58	ψ(x	ψ(x	NOUN
hjic-233	143	59	)	)	PUNCT
hjic-233	143	60	,	,	PUNCT
hjic-233	143	61	i.e.	i.e.	X
hjic-233	143	62	ψ–1(α	ψ–1(α	X
hjic-233	143	63	)	)	PUNCT
hjic-233	143	64	,	,	PUNCT
hjic-233	143	65	provides	provide	VERB
hjic-233	143	66	the	the	DET
hjic-233	143	67	necessary	necessary	ADJ
hjic-233	143	68	initial	initial	ADJ
hjic-233	143	69	amount	amount	NOUN
hjic-233	143	70	of	of	ADP
hjic-233	143	71	material	material	NOUN
hjic-233	143	72	in	in	ADP
hjic-233	143	73	the	the	DET
hjic-233	143	74	function	function	NOUN
hjic-233	143	75	of	of	ADP
hjic-233	143	76	variable	variable	ADJ
hjic-233	143	77	α	α	NOUN
hjic-233	143	78	,	,	PUNCT
hjic-233	143	79	where	where	SCONJ
hjic-233	143	80	α	α	PRON
hjic-233	143	81	provides	provide	VERB
hjic-233	143	82	the	the	DET
hjic-233	143	83	probability	probability	NOUN
hjic-233	143	84	of	of	ADP
hjic-233	143	85	running	run	VERB
hjic-233	143	86	out	out	ADP
hjic-233	143	87	of	of	ADP
hjic-233	143	88	material	material	NOUN
hjic-233	143	89	in	in	ADP
hjic-233	143	90	storage	storage	NOUN
hjic-233	143	91	.	.	PUNCT
hjic-233	144	1	function	function	NOUN
hjic-233	144	2	ψ–1(α	ψ–1(α	X
hjic-233	144	3	)	)	PUNCT
hjic-233	144	4	is	be	AUX
hjic-233	144	5	shown	show	VERB
hjic-233	144	6	in	in	ADP
hjic-233	144	7	fig	fig	NOUN
hjic-233	144	8	.	.	PUNCT
hjic-233	145	1	4	4	NUM
hjic-233	146	1	depending	depend	VERB
hjic-233	146	2	on	on	ADP
hjic-233	146	3	the	the	DET
hjic-233	146	4	parameter	parameter	NOUN
hjic-233	146	5	α	α	NOUN
hjic-233	146	6	.	.	PROPN
hjic-233	146	7	0	0	NUM
hjic-233	146	8	0.1	0.1	NUM
hjic-233	146	9	0.2	0.2	NUM
hjic-233	146	10	0.3	0.3	NUM
hjic-233	146	11	0.4	0.4	NUM
hjic-233	146	12	0.5	0.5	NUM
hjic-233	146	13	0.6	0.6	NUM
hjic-233	146	14	0.7	0.7	NUM
hjic-233	146	15	0.8	0.8	NUM
hjic-233	146	16	0.9	0.9	NUM
hjic-233	146	17	1	1	NUM
hjic-233	146	18	0	0	NUM
hjic-233	146	19	1	1	NUM
hjic-233	146	20	2	2	NUM
hjic-233	146	21	3	3	NUM
hjic-233	146	22	4	4	NUM
hjic-233	146	23	5	5	NUM
hjic-233	146	24	6	6	NUM
hjic-233	146	25	7	7	NUM
hjic-233	146	26	8	8	NUM
hjic-233	146	27	figure	figure	NOUN
hjic-233	146	28	4	4	NUM
hjic-233	146	29	:	:	PUNCT
hjic-233	146	30	the	the	DET
hjic-233	146	31	initial	initial	ADJ
hjic-233	146	32	amount	amount	NOUN
hjic-233	146	33	of	of	ADP
hjic-233	146	34	material	material	NOUN
hjic-233	146	35	as	as	ADP
hjic-233	146	36	a	a	DET
hjic-233	146	37	function	function	NOUN
hjic-233	146	38	of	of	ADP
hjic-233	146	39	the	the	DET
hjic-233	146	40	probability	probability	NOUN
hjic-233	146	41	of	of	ADP
hjic-233	146	42	emptying	empty	VERB
hjic-233	146	43	the	the	DET
hjic-233	146	44	storage	storage	NOUN
hjic-233	146	45	the	the	DET
hjic-233	146	46	expectation	expectation	NOUN
hjic-233	146	47	of	of	ADP
hjic-233	146	48	the	the	DET
hjic-233	146	49	time	time	NOUN
hjic-233	146	50	of	of	ADP
hjic-233	146	51	emptying	empty	VERB
hjic-233	146	52	given	give	VERB
hjic-233	146	53	by	by	ADP
hjic-233	146	54	formula	formula	NOUN
hjic-233	146	55	(	(	PUNCT
hjic-233	146	56	15	15	NUM
hjic-233	146	57	)	)	PUNCT
hjic-233	146	58	as	as	ADP
hjic-233	146	59	a	a	DET
hjic-233	146	60	function	function	NOUN
hjic-233	146	61	of	of	ADP
hjic-233	146	62	the	the	DET
hjic-233	146	63	initial	initial	ADJ
hjic-233	146	64	amount	amount	NOUN
hjic-233	146	65	of	of	ADP
hjic-233	146	66	material	material	NOUN
hjic-233	146	67	can	can	AUX
hjic-233	146	68	be	be	AUX
hjic-233	146	69	seen	see	VERB
hjic-233	146	70	in	in	ADP
hjic-233	146	71	fig	fig	NOUN
hjic-233	146	72	.	.	PUNCT
hjic-233	147	1	5	5	X
hjic-233	147	2	.	.	X
hjic-233	147	3	the	the	DET
hjic-233	147	4	function	function	NOUN
hjic-233	147	5	φ(x	φ(x	PROPN
hjic-233	147	6	,	,	PUNCT
hjic-233	147	7	δ	δ	NOUN
hjic-233	147	8	)	)	PUNCT
hjic-233	147	9	given	give	VERB
hjic-233	147	10	by	by	ADP
hjic-233	147	11	expression	expression	NOUN
hjic-233	147	12	(	(	PUNCT
hjic-233	147	13	10	10	NUM
hjic-233	147	14	)	)	PUNCT
hjic-233	147	15	is	be	AUX
hjic-233	147	16	shown	show	VERB
hjic-233	147	17	in	in	ADP
hjic-233	147	18	fig	fig	NOUN
hjic-233	147	19	.	.	PUNCT
hjic-233	148	1	6	6	NUM
hjic-233	148	2	in	in	ADP
hjic-233	148	3	the	the	DET
hjic-233	148	4	case	case	NOUN
hjic-233	148	5	of	of	ADP
hjic-233	148	6	exponentially	exponentially	ADV
hjic-233	148	7	distributed	distribute	VERB
hjic-233	148	8	consecutive	consecutive	ADJ
hjic-233	148	9	filling	filling	NOUN
hjic-233	148	10	times	time	NOUN
hjic-233	148	11	with	with	ADP
hjic-233	148	12	parameter	parameter	NOUN
hjic-233	148	13	μf	μf	PROPN
hjic-233	149	1	=	=	SYM
hjic-233	149	2	0.5	0.5	NUM
hjic-233	149	3	and	and	CCONJ
hjic-233	149	4	exponentially	exponentially	ADV
hjic-233	149	5	distributed	distribute	VERB
hjic-233	149	6	filled	fill	VERB
hjic-233	149	7	amount	amount	NOUN
hjic-233	149	8	of	of	ADP
hjic-233	149	9	material	material	NOUN
hjic-233	149	10	with	with	ADP
hjic-233	149	11	parameter	parameter	NOUN
hjic-233	149	12	μg	μg	PROPN
hjic-233	149	13	=	=	SYM
hjic-233	149	14	1	1	NUM
hjic-233	149	15	.	.	PUNCT
hjic-233	150	1	φ(x	φ(x	PROPN
hjic-233	150	2	,	,	PUNCT
hjic-233	150	3	δ	δ	PROPN
hjic-233	150	4	)	)	PUNCT
hjic-233	150	5	x	x	PROPN
hjic-233	151	1	δ	δ	NOUN
hjic-233	151	2	μf	μf	NOUN
hjic-233	151	3	=	=	SYM
hjic-233	151	4	0.5	0.5	NUM
hjic-233	151	5	yk	yk	PROPN
hjic-233	151	6	≡	≡	PROPN
hjic-233	151	7	1	1	NUM
hjic-233	151	8	c	c	NOUN
hjic-233	151	9	=	=	SYM
hjic-233	151	10	1	1	NUM
hjic-233	151	11	ψ(x	ψ(x	NOUN
hjic-233	151	12	)	)	PUNCT
hjic-233	151	13	x	x	X
hjic-233	151	14	α	α	PRON
hjic-233	151	15	ψ–1(α	ψ–1(α	NOUN
hjic-233	151	16	)	)	PUNCT
hjic-233	151	17	μf	μf	NOUN
hjic-233	152	1	=	=	SYM
hjic-233	152	2	0.5	0.5	NUM
hjic-233	152	3	yk	yk	PROPN
hjic-233	152	4	≡	≡	PROPN
hjic-233	152	5	1	1	NUM
hjic-233	152	6	c	c	NOUN
hjic-233	152	7	=	=	SYM
hjic-233	152	8	1	1	NUM
hjic-233	152	9	μf	μf	NOUN
hjic-233	152	10	=	=	SYM
hjic-233	152	11	0.5	0.5	NUM
hjic-233	152	12	yk	yk	PROPN
hjic-233	152	13	≡	≡	PROPN
hjic-233	152	14	1	1	NUM
hjic-233	152	15	c	c	NOUN
hjic-233	152	16	=	=	SYM
hjic-233	152	17	1	1	NUM
hjic-233	152	18	93	93	NUM
hjic-233	152	19	0	0	NUM
hjic-233	152	20	0.5	0.5	NUM
hjic-233	152	21	1	1	NUM
hjic-233	152	22	1.5	1.5	NUM
hjic-233	152	23	2	2	NUM
hjic-233	152	24	2.5	2.5	NUM
hjic-233	152	25	3	3	NUM
hjic-233	152	26	3.5	3.5	NUM
hjic-233	152	27	4	4	NUM
hjic-233	152	28	4.5	4.5	NUM
hjic-233	152	29	5	5	NUM
hjic-233	152	30	0	0	NUM
hjic-233	152	31	0.05	0.05	NUM
hjic-233	152	32	0.1	0.1	NUM
hjic-233	152	33	0.15	0.15	NUM
hjic-233	152	34	0.2	0.2	NUM
hjic-233	152	35	0.25	0.25	NUM
hjic-233	152	36	0.3	0.3	NUM
hjic-233	152	37	0.35	0.35	NUM
hjic-233	152	38	0.4	0.4	NUM
hjic-233	152	39	figure	figure	NOUN
hjic-233	152	40	5	5	NUM
hjic-233	152	41	:	:	PUNCT
hjic-233	152	42	the	the	DET
hjic-233	152	43	expectation	expectation	NOUN
hjic-233	152	44	of	of	ADP
hjic-233	152	45	the	the	DET
hjic-233	152	46	time	time	NOUN
hjic-233	152	47	of	of	ADP
hjic-233	152	48	emptying	empty	VERB
hjic-233	152	49	the	the	DET
hjic-233	152	50	storage	storage	NOUN
hjic-233	152	51	depending	depend	VERB
hjic-233	152	52	on	on	ADP
hjic-233	152	53	the	the	DET
hjic-233	152	54	initial	initial	ADJ
hjic-233	152	55	amount	amount	NOUN
hjic-233	152	56	of	of	ADP
hjic-233	152	57	material	material	ADJ
hjic-233	152	58	figure	figure	NOUN
hjic-233	152	59	6	6	NUM
hjic-233	152	60	:	:	PUNCT
hjic-233	152	61	function	function	VERB
hjic-233	152	62	φ(x	φ(x	PROPN
hjic-233	152	63	,	,	PUNCT
hjic-233	152	64	δ	δ	NOUN
hjic-233	152	65	)	)	PUNCT
hjic-233	152	66	in	in	ADP
hjic-233	152	67	the	the	DET
hjic-233	152	68	case	case	NOUN
hjic-233	152	69	of	of	ADP
hjic-233	152	70	poisson	poisson	NOUN
hjic-233	152	71	filling	filling	NOUN
hjic-233	152	72	process	process	NOUN
hjic-233	152	73	and	and	CCONJ
hjic-233	152	74	exponentially	exponentially	ADV
hjic-233	152	75	distributed	distribute	VERB
hjic-233	152	76	filled	fill	VERB
hjic-233	152	77	material	material	NOUN
hjic-233	152	78	into	into	ADP
hjic-233	152	79	storage	storage	NOUN
hjic-233	152	80	the	the	DET
hjic-233	152	81	functions	function	NOUN
hjic-233	152	82	expressing	express	VERB
hjic-233	152	83	the	the	DET
hjic-233	152	84	probability	probability	NOUN
hjic-233	152	85	of	of	ADP
hjic-233	152	86	emptying	empty	VERB
hjic-233	152	87	can	can	AUX
hjic-233	152	88	be	be	AUX
hjic-233	152	89	seen	see	VERB
hjic-233	152	90	in	in	ADP
hjic-233	152	91	fig	fig	NOUN
hjic-233	152	92	.	.	PUNCT
hjic-233	153	1	7	7	NUM
hjic-233	153	2	using	use	VERB
hjic-233	153	3	different	different	ADJ
hjic-233	153	4	values	value	NOUN
hjic-233	153	5	for	for	ADP
hjic-233	153	6	the	the	DET
hjic-233	153	7	expectation	expectation	NOUN
hjic-233	153	8	of	of	ADP
hjic-233	153	9	the	the	DET
hjic-233	153	10	filled	fill	VERB
hjic-233	153	11	material	material	NOUN
hjic-233	153	12	.	.	PUNCT
hjic-233	154	1	figure	figure	VERB
hjic-233	154	2	7	7	NUM
hjic-233	154	3	:	:	PUNCT
hjic-233	154	4	the	the	DET
hjic-233	154	5	probability	probability	NOUN
hjic-233	154	6	of	of	ADP
hjic-233	154	7	emptying	empty	VERB
hjic-233	154	8	storage	storage	NOUN
hjic-233	154	9	ψ(x	ψ(x	NOUN
hjic-233	154	10	)	)	PUNCT
hjic-233	154	11	as	as	ADP
hjic-233	154	12	a	a	DET
hjic-233	154	13	function	function	NOUN
hjic-233	154	14	of	of	ADP
hjic-233	154	15	initial	initial	ADJ
hjic-233	154	16	amount	amount	NOUN
hjic-233	154	17	of	of	ADP
hjic-233	154	18	material	material	NOUN
hjic-233	154	19	in	in	ADP
hjic-233	154	20	fig	fig	NOUN
hjic-233	154	21	.	.	PUNCT
hjic-233	155	1	8	8	NUM
hjic-233	155	2	we	we	PRON
hjic-233	155	3	represent	represent	VERB
hjic-233	155	4	the	the	DET
hjic-233	155	5	function	function	NOUN
hjic-233	155	6	φ(x	φ(x	PROPN
hjic-233	155	7	,	,	PUNCT
hjic-233	155	8	δ	δ	NOUN
hjic-233	155	9	)	)	PUNCT
hjic-233	155	10	in	in	ADP
hjic-233	155	11	case	case	NOUN
hjic-233	155	12	of	of	ADP
hjic-233	155	13	erlang(2	erlang(2	NOUN
hjic-233	155	14	)	)	PUNCT
hjic-233	155	15	distributed	distribute	VERB
hjic-233	155	16	consecutive	consecutive	ADJ
hjic-233	155	17	input	input	NOUN
hjic-233	155	18	times	time	NOUN
hjic-233	155	19	with	with	ADP
hjic-233	155	20	λ	λ	PROPN
hjic-233	155	21	=	=	NOUN
hjic-233	155	22	0.3	0.3	NUM
hjic-233	155	23	,	,	PUNCT
hjic-233	155	24	that	that	PRON
hjic-233	155	25	is	be	AUX
hjic-233	155	26	3.0	3.0	NUM
hjic-233	155	27	2	2	NUM
hjic-233	155	28	)	)	PUNCT
hjic-233	155	29	(	(	PUNCT
hjic-233	156	1	=	=	NOUN
hjic-233	156	2	ite	ite	ADJ
hjic-233	156	3	,	,	PUNCT
hjic-233	156	4	and	and	CCONJ
hjic-233	156	5	lognormal	lognormal	ADJ
hjic-233	156	6	distri	distri	NOUN
hjic-233	156	7	-	-	NOUN
hjic-233	156	8	bution	bution	NOUN
hjic-233	156	9	of	of	ADP
hjic-233	156	10	the	the	DET
hjic-233	156	11	filled	fill	VERB
hjic-233	156	12	amount	amount	NOUN
hjic-233	156	13	of	of	ADP
hjic-233	156	14	material	material	NOUN
hjic-233	156	15	.	.	PUNCT
hjic-233	157	1	parameter	parameter	NOUN
hjic-233	157	2	m	m	PROPN
hjic-233	157	3	equals	equal	VERB
hjic-233	157	4	2	2	NUM
hjic-233	157	5	,	,	PUNCT
hjic-233	157	6	the	the	DET
hjic-233	157	7	standard	standard	ADJ
hjic-233	157	8	deviation	deviation	NOUN
hjic-233	157	9	of	of	ADP
hjic-233	157	10	the	the	DET
hjic-233	157	11	normal	normal	ADJ
hjic-233	157	12	distribution	distribution	NOUN
hjic-233	157	13	is	be	AUX
hjic-233	157	14	σ	σ	NOUN
hjic-233	157	15	=	=	SYM
hjic-233	157	16	1	1	NUM
hjic-233	157	17	,	,	PUNCT
hjic-233	157	18	hence	hence	ADV
hjic-233	157	19	the	the	DET
hjic-233	157	20	expectation	expectation	NOUN
hjic-233	157	21	of	of	ADP
hjic-233	157	22	the	the	DET
hjic-233	157	23	lognormal	lognormal	ADJ
hjic-233	157	24	distribution	distribution	NOUN
hjic-233	157	25	is	be	AUX
hjic-233	157	26	18.12	18.12	NUM
hjic-233	157	27	)	)	PUNCT
hjic-233	157	28	(	(	PUNCT
hjic-233	157	29	2/2	2/2	NUM
hjic-233	157	30	=	=	NOUN
hjic-233	157	31	=	=	SYM
hjic-233	158	1	+	+	ADP
hjic-233	158	2	σm	σm	INTJ
hjic-233	158	3	i	i	PRON
hjic-233	158	4	eye	eye	NOUN
hjic-233	158	5	.	.	PUNCT
hjic-233	159	1	the	the	DET
hjic-233	159	2	solution	solution	NOUN
hjic-233	159	3	of	of	ADP
hjic-233	159	4	the	the	DET
hjic-233	159	5	integrodifferential	integrodifferential	ADJ
hjic-233	159	6	equation	equation	NOUN
hjic-233	159	7	(	(	PUNCT
hjic-233	159	8	3	3	X
hjic-233	159	9	)	)	PUNCT
hjic-233	159	10	is	be	AUX
hjic-233	159	11	given	give	VERB
hjic-233	159	12	by	by	ADP
hjic-233	159	13	expression	expression	NOUN
hjic-233	159	14	(	(	PUNCT
hjic-233	159	15	5	5	NUM
hjic-233	159	16	)	)	PUNCT
hjic-233	159	17	.	.	PUNCT
hjic-233	160	1	the	the	DET
hjic-233	160	2	exponents	exponent	NOUN
hjic-233	160	3	were	be	AUX
hjic-233	160	4	determined	determine	VERB
hjic-233	160	5	numerically	numerically	ADV
hjic-233	160	6	from	from	ADP
hjic-233	160	7	the	the	DET
hjic-233	160	8	equation	equation	NOUN
hjic-233	160	9	(	(	PUNCT
hjic-233	160	10	6	6	NUM
hjic-233	160	11	)	)	PUNCT
hjic-233	160	12	.	.	PUNCT
hjic-233	161	1	the	the	DET
hjic-233	161	2	integral	integral	ADJ
hjic-233	161	3	for	for	ADP
hjic-233	161	4	the	the	DET
hjic-233	161	5	case	case	NOUN
hjic-233	161	6	of	of	ADP
hjic-233	161	7	lognormal	lognormal	ADJ
hjic-233	161	8	distribution	distribution	NOUN
hjic-233	161	9	of	of	ADP
hjic-233	161	10	the	the	DET
hjic-233	161	11	filled	fill	VERB
hjic-233	161	12	amount	amount	NOUN
hjic-233	161	13	of	of	ADP
hjic-233	161	14	material	material	NOUN
hjic-233	161	15	,	,	PUNCT
hjic-233	161	16	i.e.	i.e.	X
hjic-233	161	17	the	the	DET
hjic-233	161	18	laplace	laplace	NOUN
hjic-233	161	19	transform	transform	NOUN
hjic-233	161	20	of	of	ADP
hjic-233	161	21	the	the	DET
hjic-233	161	22	lognormal	lognormal	ADJ
hjic-233	161	23	density	density	NOUN
hjic-233	161	24	function	function	NOUN
hjic-233	161	25	can	can	AUX
hjic-233	161	26	not	not	PART
hjic-233	161	27	be	be	AUX
hjic-233	161	28	computed	compute	VERB
hjic-233	161	29	analytically	analytically	ADV
hjic-233	161	30	.	.	PUNCT
hjic-233	162	1	it	it	PRON
hjic-233	162	2	was	be	AUX
hjic-233	162	3	determined	determine	VERB
hjic-233	162	4	numerically	numerically	ADV
hjic-233	162	5	by	by	ADP
hjic-233	162	6	using	use	VERB
hjic-233	162	7	gauss	gauss	ADJ
hjic-233	162	8	-	-	PUNCT
hjic-233	162	9	laguerre	laguerre	NOUN
hjic-233	162	10	quadrature	quadrature	NOUN
hjic-233	162	11	formulas	formula	NOUN
hjic-233	162	12	based	base	VERB
hjic-233	162	13	on	on	ADP
hjic-233	162	14	polynomial	polynomial	ADJ
hjic-233	162	15	of	of	ADP
hjic-233	162	16	degree	degree	NOUN
hjic-233	162	17	20	20	NUM
hjic-233	162	18	.	.	PUNCT
hjic-233	163	1	for	for	ADP
hjic-233	163	2	this	this	DET
hjic-233	163	3	case	case	NOUN
hjic-233	163	4	,	,	PUNCT
hjic-233	163	5	the	the	DET
hjic-233	163	6	bivariate	bivariate	ADJ
hjic-233	163	7	function	function	NOUN
hjic-233	163	8	φ(x	φ(x	PROPN
hjic-233	163	9	,	,	PUNCT
hjic-233	163	10	δ	δ	PROPN
hjic-233	163	11	)	)	PUNCT
hjic-233	163	12	is	be	AUX
hjic-233	163	13	presented	present	VERB
hjic-233	163	14	in	in	ADP
hjic-233	163	15	fig	fig	NOUN
hjic-233	163	16	.	.	PUNCT
hjic-233	164	1	8	8	X
hjic-233	164	2	.	.	X
hjic-233	164	3	figure	figure	NOUN
hjic-233	164	4	8	8	NUM
hjic-233	164	5	:	:	PUNCT
hjic-233	164	6	function	function	VERB
hjic-233	164	7	φ(x	φ(x	PROPN
hjic-233	164	8	,	,	PUNCT
hjic-233	164	9	δ	δ	NOUN
hjic-233	164	10	)	)	PUNCT
hjic-233	164	11	in	in	ADP
hjic-233	164	12	case	case	NOUN
hjic-233	164	13	of	of	ADP
hjic-233	164	14	erlang	erlang	PROPN
hjic-233	164	15	(	(	PUNCT
hjic-233	164	16	2	2	NUM
hjic-233	164	17	)	)	PUNCT
hjic-233	164	18	distributed	distribute	VERB
hjic-233	164	19	inter	inter	ADJ
hjic-233	164	20	-	-	NOUN
hjic-233	164	21	arrival	arrival	ADJ
hjic-233	164	22	times	time	NOUN
hjic-233	164	23	and	and	CCONJ
hjic-233	164	24	lognormal	lognormal	ADJ
hjic-233	164	25	distribution	distribution	NOUN
hjic-233	164	26	of	of	ADP
hjic-233	164	27	filled	fill	VERB
hjic-233	164	28	amount	amount	NOUN
hjic-233	164	29	of	of	ADP
hjic-233	164	30	material	material	NOUN
hjic-233	164	31	finally	finally	ADV
hjic-233	164	32	,	,	PUNCT
hjic-233	164	33	let	let	VERB
hjic-233	164	34	us	we	PRON
hjic-233	164	35	see	see	VERB
hjic-233	164	36	an	an	DET
hjic-233	164	37	example	example	NOUN
hjic-233	164	38	in	in	ADP
hjic-233	164	39	details	detail	NOUN
hjic-233	164	40	how	how	SCONJ
hjic-233	164	41	to	to	PART
hjic-233	164	42	determine	determine	VERB
hjic-233	164	43	the	the	DET
hjic-233	164	44	initial	initial	ADJ
hjic-233	164	45	amount	amount	NOUN
hjic-233	164	46	of	of	ADP
hjic-233	164	47	material	material	NOUN
hjic-233	164	48	according	accord	VERB
hjic-233	164	49	to	to	ADP
hjic-233	164	50	the	the	DET
hjic-233	164	51	reliability	reliability	NOUN
hjic-233	164	52	level	level	NOUN
hjic-233	164	53	1	1	NUM
hjic-233	164	54	–	–	PUNCT
hjic-233	164	55	α	α	NOUN
hjic-233	164	56	=	=	NOUN
hjic-233	164	57	0.95	0.95	NUM
hjic-233	164	58	,	,	PUNCT
hjic-233	164	59	i.e.	i.e.	X
hjic-233	164	60	we	we	PRON
hjic-233	164	61	would	would	AUX
hjic-233	164	62	like	like	VERB
hjic-233	164	63	to	to	PART
hjic-233	164	64	determine	determine	VERB
hjic-233	164	65	how	how	SCONJ
hjic-233	164	66	much	much	ADJ
hjic-233	164	67	initial	initial	ADJ
hjic-233	164	68	amount	amount	NOUN
hjic-233	164	69	of	of	ADP
hjic-233	164	70	material	material	NOUN
hjic-233	164	71	is	be	AUX
hjic-233	164	72	needed	need	VERB
hjic-233	164	73	if	if	SCONJ
hjic-233	164	74	we	we	PRON
hjic-233	164	75	want	want	VERB
hjic-233	164	76	to	to	PART
hjic-233	164	77	assure	assure	VERB
hjic-233	164	78	the	the	DET
hjic-233	164	79	operation	operation	NOUN
hjic-233	164	80	of	of	ADP
hjic-233	164	81	the	the	DET
hjic-233	164	82	system	system	NOUN
hjic-233	164	83	without	without	ADP
hjic-233	164	84	running	run	VERB
hjic-233	164	85	out	out	ADP
hjic-233	164	86	of	of	ADP
hjic-233	164	87	material	material	NOUN
hjic-233	164	88	with	with	ADP
hjic-233	164	89	probability	probability	NOUN
hjic-233	164	90	0.95	0.95	NUM
hjic-233	164	91	.	.	PUNCT
hjic-233	165	1	it	it	PRON
hjic-233	165	2	means	mean	VERB
hjic-233	165	3	that	that	SCONJ
hjic-233	165	4	the	the	DET
hjic-233	165	5	initial	initial	ADJ
hjic-233	165	6	amount	amount	NOUN
hjic-233	165	7	of	of	ADP
hjic-233	165	8	material	material	NOUN
hjic-233	165	9	in	in	ADP
hjic-233	165	10	the	the	DET
hjic-233	165	11	storage	storage	NOUN
hjic-233	165	12	x	x	PUNCT
hjic-233	165	13	is	be	AUX
hjic-233	165	14	to	to	PART
hjic-233	165	15	be	be	AUX
hjic-233	165	16	determined	determine	VERB
hjic-233	165	17	corresponding	correspond	VERB
hjic-233	165	18	to	to	ADP
hjic-233	165	19	r(x	r(x	PROPN
hjic-233	165	20	)	)	PUNCT
hjic-233	165	21	=	=	SYM
hjic-233	165	22	1	1	X
hjic-233	165	23	–	–	PUNCT
hjic-233	165	24	α	α	NOUN
hjic-233	165	25	=	=	NOUN
hjic-233	165	26	0.95	0.95	NUM
hjic-233	165	27	.	.	PUNCT
hjic-233	166	1	let	let	VERB
hjic-233	166	2	us	we	PRON
hjic-233	166	3	suppose	suppose	VERB
hjic-233	166	4	that	that	SCONJ
hjic-233	166	5	the	the	DET
hjic-233	166	6	distribution	distribution	NOUN
hjic-233	166	7	of	of	ADP
hjic-233	166	8	the	the	DET
hjic-233	166	9	consecutive	consecutive	ADJ
hjic-233	166	10	filling	filling	NOUN
hjic-233	166	11	times	time	NOUN
hjic-233	166	12	is	be	AUX
hjic-233	166	13	erlang(2	erlang(2	NOUN
hjic-233	166	14	)	)	PUNCT
hjic-233	166	15	distribution	distribution	NOUN
hjic-233	166	16	with	with	ADP
hjic-233	166	17	parameters	parameter	NOUN
hjic-233	166	18	λ	λ	X
hjic-233	166	19	=	=	NOUN
hjic-233	166	20	2.1	2.1	NUM
hjic-233	166	21	,	,	PUNCT
hjic-233	166	22	c	c	NOUN
hjic-233	166	23	=	=	SYM
hjic-233	166	24	1	1	NUM
hjic-233	166	25	and	and	CCONJ
hjic-233	166	26	yi	yi	VERB
hjic-233	166	27	≡	≡	PROPN
hjic-233	166	28	1	1	NUM
hjic-233	166	29	.	.	PUNCT
hjic-233	167	1	first	first	ADV
hjic-233	167	2	we	we	PRON
hjic-233	167	3	determine	determine	VERB
hjic-233	167	4	the	the	DET
hjic-233	167	5	roots	root	NOUN
hjic-233	167	6	of	of	ADP
hjic-233	167	7	the	the	DET
hjic-233	167	8	equation	equation	NOUN
hjic-233	167	9	ψ(x	ψ(x	NOUN
hjic-233	167	10	)	)	PUNCT
hjic-233	167	11	=	=	SYM
hjic-233	168	1	α	α	X
hjic-233	168	2	.	.	PUNCT
hjic-233	168	3	as	as	ADP
hjic-233	168	4	ψ(x	ψ(x	NOUN
hjic-233	168	5	)	)	PUNCT
hjic-233	168	6	=	=	SYM
hjic-233	168	7	φ(x,0	φ(x,0	PROPN
hjic-233	168	8	)	)	PUNCT
hjic-233	168	9	,	,	PUNCT
hjic-233	168	10	we	we	PRON
hjic-233	168	11	deal	deal	VERB
hjic-233	168	12	with	with	ADP
hjic-233	168	13	the	the	DET
hjic-233	168	14	function	function	NOUN
hjic-233	168	15	φ(x	φ(x	PROPN
hjic-233	168	16	,	,	PUNCT
hjic-233	168	17	δ	δ	PROPN
hjic-233	168	18	)	)	PUNCT
hjic-233	168	19	,	,	PUNCT
hjic-233	168	20	which	which	PRON
hjic-233	168	21	is	be	AUX
hjic-233	168	22	of	of	ADP
hjic-233	168	23	the	the	DET
hjic-233	168	24	form	form	NOUN
hjic-233	168	25	(	(	PUNCT
hjic-233	168	26	5	5	NUM
hjic-233	168	27	)	)	PUNCT
hjic-233	168	28	.	.	PUNCT
hjic-233	169	1	now	now	ADV
hjic-233	169	2	g(y	g(y	NOUN
hjic-233	169	3	)	)	PUNCT
hjic-233	169	4	is	be	AUX
hjic-233	169	5	a	a	DET
hjic-233	169	6	dirac	dirac	NOUN
hjic-233	169	7	-	-	PUNCT
hjic-233	169	8	delta	delta	NOUN
hjic-233	169	9	function	function	NOUN
hjic-233	169	10	at	at	ADP
hjic-233	169	11	y	y	PROPN
hjic-233	169	12	=	=	SYM
hjic-233	169	13	1	1	NUM
hjic-233	169	14	,	,	PUNCT
hjic-233	169	15	hence	hence	ADV
hjic-233	169	16	equation	equation	NOUN
hjic-233	169	17	(	(	PUNCT
hjic-233	169	18	6	6	NUM
hjic-233	169	19	)	)	PUNCT
hjic-233	169	20	takes	take	VERB
hjic-233	169	21	the	the	DET
hjic-233	169	22	form	form	NOUN
hjic-233	169	23	0	0	NUM
hjic-233	169	24	22	22	NUM
hjic-233	169	25	=	=	NOUN
hjic-233	169	26	⎟	⎟	X
hjic-233	169	27	⎠	⎠	X
hjic-233	169	28	⎞	⎞	VERB
hjic-233	169	29	⎜	⎜	PROPN
hjic-233	169	30	⎝	⎝	X
hjic-233	169	31	⎛−⎟	⎛−⎟	NUM
hjic-233	169	32	⎠	⎠	NOUN
hjic-233	169	33	⎞	⎞	X
hjic-233	169	34	⎜	⎜	PROPN
hjic-233	169	35	⎝	⎝	PUNCT
hjic-233	169	36	⎛	⎛	NOUN
hjic-233	169	37	−	−	NOUN
hjic-233	170	1	+	+	NUM
hjic-233	170	2	−kye	−kye	NOUN
hjic-233	170	3	c	c	PROPN
hjic-233	170	4	k	k	PROPN
hjic-233	170	5	c	c	PROPN
hjic-233	170	6	λλδ	λλδ	PROPN
hjic-233	170	7	.	.	PUNCT
hjic-233	171	1	this	this	DET
hjic-233	171	2	equation	equation	NOUN
hjic-233	171	3	has	have	VERB
hjic-233	171	4	two	two	NUM
hjic-233	171	5	positive	positive	ADJ
hjic-233	171	6	roots	root	NOUN
hjic-233	171	7	,	,	PUNCT
hjic-233	171	8	one	one	NUM
hjic-233	171	9	lies	lie	VERB
hjic-233	171	10	in	in	ADP
hjic-233	171	11	the	the	DET
hjic-233	171	12	interval	interval	NOUN
hjic-233	171	13	(	(	PUNCT
hjic-233	171	14	0	0	NUM
hjic-233	171	15	,	,	PUNCT
hjic-233	171	16	λ	λ	PROPN
hjic-233	171	17	+	+	PROPN
hjic-233	171	18	δ	δ	PROPN
hjic-233	171	19	)	)	PUNCT
hjic-233	171	20	,	,	PUNCT
hjic-233	171	21	and	and	CCONJ
hjic-233	171	22	the	the	DET
hjic-233	171	23	another	another	DET
hjic-233	171	24	one	one	NOUN
hjic-233	171	25	is	be	AUX
hjic-233	171	26	in	in	ADP
hjic-233	171	27	the	the	DET
hjic-233	171	28	interval	interval	NOUN
hjic-233	171	29	(	(	PUNCT
hjic-233	171	30	λ	λ	X
hjic-233	171	31	+	+	CCONJ
hjic-233	171	32	δ	δ	PROPN
hjic-233	171	33	,	,	PUNCT
hjic-233	171	34	∞	∞	PROPN
hjic-233	171	35	)	)	PUNCT
hjic-233	171	36	with	with	ADP
hjic-233	171	37	multiplicities	multiplicity	NOUN
hjic-233	171	38	equal	equal	ADJ
hjic-233	171	39	1	1	X
hjic-233	171	40	.	.	PUNCT
hjic-233	172	1	these	these	DET
hjic-233	172	2	roots	root	NOUN
hjic-233	172	3	were	be	AUX
hjic-233	172	4	)	)	PUNCT
hjic-233	172	5	1	1	NUM
hjic-233	172	6	)	)	PUNCT
hjic-233	172	7	(	(	PUNCT
hjic-233	172	8	(	(	PUNCT
hjic-233	172	9	∞<vtv	∞<vtv	PROPN
hjic-233	172	10	xte	xte	PROPN
hjic-233	172	11	μf	μf	PROPN
hjic-233	173	1	=	=	NOUN
hjic-233	173	2	0.5	0.5	NUM
hjic-233	173	3	μg	μg	NOUN
hjic-233	173	4	=	=	SYM
hjic-233	173	5	1	1	NUM
hjic-233	173	6	c	c	NOUN
hjic-233	173	7	=	=	SYM
hjic-233	173	8	1	1	NUM
hjic-233	173	9	δ	δ	PROPN
hjic-233	173	10	φ(x	φ(x	PROPN
hjic-233	173	11	,	,	PUNCT
hjic-233	173	12	δ	δ	PROPN
hjic-233	173	13	)	)	PUNCT
hjic-233	173	14	x	x	PUNCT
hjic-233	173	15	μg	μg	PROPN
hjic-233	173	16	=	=	SYM
hjic-233	173	17	1	1	NUM
hjic-233	173	18	μg	μg	NOUN
hjic-233	173	19	=	=	SYM
hjic-233	173	20	2	2	NUM
hjic-233	173	21	μg	μg	NOUN
hjic-233	173	22	=	=	SYM
hjic-233	173	23	3	3	NUM
hjic-233	173	24	μf	μf	NOUN
hjic-233	173	25	=	=	NUM
hjic-233	173	26	0.5	0.5	NUM
hjic-233	173	27	c	c	NOUN
hjic-233	173	28	=	=	SYM
hjic-233	173	29	1	1	NUM
hjic-233	173	30	φ(x	φ(x	PROPN
hjic-233	173	31	,	,	PUNCT
hjic-233	173	32	δ	δ	PROPN
hjic-233	173	33	)	)	PUNCT
hjic-233	173	34	x	x	X
hjic-233	174	1	λ	λ	NOUN
hjic-233	174	2	=	=	NOUN
hjic-233	174	3	0.3	0.3	NUM
hjic-233	174	4	n	n	NOUN
hjic-233	174	5	=	=	SYM
hjic-233	174	6	2	2	NUM
hjic-233	174	7	m	m	NOUN
hjic-233	174	8	=	=	SYM
hjic-233	174	9	2	2	NUM
hjic-233	174	10	σ	σ	NOUN
hjic-233	174	11	=	=	SYM
hjic-233	174	12	1	1	NUM
hjic-233	174	13	c	c	NOUN
hjic-233	174	14	=	=	SYM
hjic-233	174	15	2	2	NUM
hjic-233	174	16	x	x	SYM
hjic-233	174	17	δ	δ	NOUN
hjic-233	174	18	x	x	SYM
hjic-233	174	19	μf	μf	PROPN
hjic-233	174	20	=	=	SYM
hjic-233	174	21	0.5	0.5	NUM
hjic-233	174	22	yk	yk	PROPN
hjic-233	174	23	≡	≡	PROPN
hjic-233	174	24	1	1	NUM
hjic-233	174	25	c	c	NOUN
hjic-233	174	26	=	=	SYM
hjic-233	174	27	1	1	NUM
hjic-233	174	28	ψ(x	ψ(x	NOUN
hjic-233	174	29	)	)	PUNCT
hjic-233	174	30	94	94	NUM
hjic-233	174	31	determined	determine	VERB
hjic-233	174	32	numerically	numerically	ADV
hjic-233	174	33	by	by	ADP
hjic-233	174	34	the	the	DET
hjic-233	174	35	newton	newton	PROPN
hjic-233	174	36	method	method	NOUN
hjic-233	174	37	.	.	PUNCT
hjic-233	175	1	the	the	DET
hjic-233	175	2	solution	solution	NOUN
hjic-233	175	3	is	be	AUX
hjic-233	175	4	of	of	ADP
hjic-233	175	5	form	form	NOUN
hjic-233	175	6	)	)	PUNCT
hjic-233	175	7	(	(	PUNCT
hjic-233	175	8	2	2	X
hjic-233	175	9	)	)	PUNCT
hjic-233	175	10	(	(	PUNCT
hjic-233	175	11	1	1	NUM
hjic-233	175	12	21	21	NUM
hjic-233	175	13	)	)	PUNCT
hjic-233	175	14	(	(	PUNCT
hjic-233	175	15	)	)	PUNCT
hjic-233	175	16	(	(	PUNCT
hjic-233	175	17	)	)	PUNCT
hjic-233	175	18	,	,	PUNCT
hjic-233	175	19	(	(	PUNCT
hjic-233	175	20	δδ	δδ	PROPN
hjic-233	175	21	δδδφ	δδδφ	NOUN
hjic-233	175	22	kk	kk	PROPN
hjic-233	175	23	ececx	ececx	PROPN
hjic-233	175	24	−−	−−	PROPN
hjic-233	175	25	+	+	PROPN
hjic-233	175	26	=	=	SYM
hjic-233	175	27	where	where	SCONJ
hjic-233	175	28	the	the	DET
hjic-233	175	29	constants	constant	NOUN
hjic-233	175	30	c1(δ	c1(δ	PRON
hjic-233	175	31	)	)	PUNCT
hjic-233	175	32	and	and	CCONJ
hjic-233	175	33	c2(δ	c2(δ	NOUN
hjic-233	175	34	)	)	PUNCT
hjic-233	175	35	are	be	AUX
hjic-233	175	36	expressed	express	VERB
hjic-233	175	37	from	from	ADP
hjic-233	175	38	the	the	DET
hjic-233	175	39	initial	initial	ADJ
hjic-233	175	40	conditions	condition	NOUN
hjic-233	175	41	for	for	ADP
hjic-233	175	42	i	i	PROPN
hjic-233	175	43	=	=	SYM
hjic-233	175	44	0	0	PUNCT
hjic-233	176	1	and	and	CCONJ
hjic-233	176	2	i	i	PRON
hjic-233	176	3	=	=	NOUN
hjic-233	176	4	1	1	NUM
hjic-233	176	5	,	,	PUNCT
hjic-233	176	6	that	that	PRON
hjic-233	176	7	is	be	AUX
hjic-233	176	8	from	from	ADP
hjic-233	176	9	the	the	DET
hjic-233	176	10	system	system	NOUN
hjic-233	176	11	of	of	ADP
hjic-233	176	12	linear	linear	PROPN
hjic-233	176	13	equations	equation	NOUN
hjic-233	176	14	c1(δ	c1(δ	PRON
hjic-233	176	15	)	)	PUNCT
hjic-233	176	16	+	+	NUM
hjic-233	176	17	c2(δ	c2(δ	NOUN
hjic-233	176	18	)	)	PUNCT
hjic-233	176	19	=	=	SYM
hjic-233	176	20	1	1	NUM
hjic-233	176	21	and	and	CCONJ
hjic-233	176	22	c	c	NOUN
hjic-233	176	23	ckck	ckck	VERB
hjic-233	176	24	δδδδδ	δδδδδ	NOUN
hjic-233	176	25	−=−−	−=−−	PROPN
hjic-233	176	26	)	)	PUNCT
hjic-233	176	27	(	(	PUNCT
hjic-233	176	28	)	)	PUNCT
hjic-233	176	29	(	(	PUNCT
hjic-233	176	30	)	)	PUNCT
hjic-233	176	31	(	(	PUNCT
hjic-233	176	32	)	)	PUNCT
hjic-233	176	33	(	(	PUNCT
hjic-233	176	34	2211	2211	NUM
hjic-233	176	35	.	.	PUNCT
hjic-233	177	1	the	the	DET
hjic-233	177	2	function	function	NOUN
hjic-233	177	3	φ(x	φ(x	PROPN
hjic-233	177	4	,	,	PUNCT
hjic-233	177	5	δ	δ	PROPN
hjic-233	177	6	)	)	PUNCT
hjic-233	177	7	is	be	AUX
hjic-233	177	8	shown	show	VERB
hjic-233	177	9	in	in	ADP
hjic-233	177	10	fig	fig	NOUN
hjic-233	177	11	.	.	PUNCT
hjic-233	178	1	9	9	X
hjic-233	178	2	.	.	X
hjic-233	178	3	figure	figure	NOUN
hjic-233	178	4	9	9	NUM
hjic-233	178	5	:	:	PUNCT
hjic-233	178	6	function	function	VERB
hjic-233	178	7	φ(x	φ(x	PROPN
hjic-233	178	8	,	,	PUNCT
hjic-233	178	9	δ	δ	NOUN
hjic-233	178	10	)	)	PUNCT
hjic-233	178	11	in	in	ADP
hjic-233	178	12	the	the	DET
hjic-233	178	13	case	case	NOUN
hjic-233	178	14	of	of	ADP
hjic-233	178	15	erlang	erlang	PROPN
hjic-233	178	16	(	(	PUNCT
hjic-233	178	17	2	2	NUM
hjic-233	178	18	)	)	PUNCT
hjic-233	178	19	distributed	distribute	VERB
hjic-233	178	20	inter	inter	ADJ
hjic-233	178	21	-	-	NOUN
hjic-233	178	22	arrival	arrival	ADJ
hjic-233	178	23	times	time	NOUN
hjic-233	178	24	and	and	CCONJ
hjic-233	178	25	constant	constant	ADJ
hjic-233	178	26	amount	amount	NOUN
hjic-233	178	27	of	of	ADP
hjic-233	178	28	filled	fill	VERB
hjic-233	178	29	material	material	NOUN
hjic-233	178	30	the	the	DET
hjic-233	178	31	numerical	numerical	ADJ
hjic-233	178	32	computations	computation	NOUN
hjic-233	178	33	provided	provide	VERB
hjic-233	178	34	the	the	DET
hjic-233	178	35	values	value	NOUN
hjic-233	178	36	k1(0	k1(0	PROPN
hjic-233	178	37	)	)	PUNCT
hjic-233	178	38	=	=	PUNCT
hjic-233	179	1	0.1968	0.1968	NUM
hjic-233	179	2	,	,	PUNCT
hjic-233	179	3	k2(0	k2(0	NOUN
hjic-233	179	4	)	)	PUNCT
hjic-233	179	5	=	=	NOUN
hjic-233	179	6	2.6564	2.6564	NUM
hjic-233	179	7	,	,	PUNCT
hjic-233	179	8	while	while	SCONJ
hjic-233	179	9	the	the	DET
hjic-233	179	10	constants	constant	NOUN
hjic-233	179	11	are	be	AUX
hjic-233	179	12	c1(0	c1(0	PROPN
hjic-233	179	13	)	)	PUNCT
hjic-233	179	14	=	=	SYM
hjic-233	179	15	1.0800	1.0800	NUM
hjic-233	179	16	,	,	PUNCT
hjic-233	179	17	c2(0	c2(0	PROPN
hjic-233	179	18	)	)	PUNCT
hjic-233	179	19	=	=	PUNCT
hjic-233	179	20	–	–	PUNCT
hjic-233	179	21	0.0800	0.0800	NUM
hjic-233	179	22	,	,	PUNCT
hjic-233	179	23	hence	hence	ADV
hjic-233	179	24	finally	finally	ADV
hjic-233	179	25	xx	xx	NUM
hjic-233	179	26	eex	eex	NOUN
hjic-233	179	27	6564.21968.0	6564.21968.0	PROPN
hjic-233	179	28	0800.00800.1	0800.00800.1	NOUN
hjic-233	179	29	)	)	PUNCT
hjic-233	179	30	(	(	PUNCT
hjic-233	179	31	−−	−−	NOUN
hjic-233	179	32	−=ψ	−=ψ	NOUN
hjic-233	179	33	.	.	PUNCT
hjic-233	180	1	the	the	DET
hjic-233	180	2	function	function	NOUN
hjic-233	180	3	ψ(x	ψ(x	NOUN
hjic-233	180	4	)	)	PUNCT
hjic-233	181	1	=	=	SYM
hjic-233	181	2	1	1	X
hjic-233	181	3	–	–	PUNCT
hjic-233	181	4	r(x	r(x	PROPN
hjic-233	181	5	)	)	PUNCT
hjic-233	181	6	=	=	SYM
hjic-233	181	7	φ(x,0	φ(x,0	PROPN
hjic-233	181	8	)	)	PUNCT
hjic-233	181	9	can	can	AUX
hjic-233	181	10	be	be	AUX
hjic-233	181	11	seen	see	VERB
hjic-233	181	12	in	in	ADP
hjic-233	181	13	fig	fig	NOUN
hjic-233	181	14	.	.	PUNCT
hjic-233	182	1	10	10	NUM
hjic-233	182	2	.	.	PUNCT
hjic-233	183	1	this	this	DET
hjic-233	183	2	function	function	NOUN
hjic-233	183	3	is	be	AUX
hjic-233	183	4	shown	show	VERB
hjic-233	183	5	together	together	ADV
hjic-233	183	6	with	with	ADP
hjic-233	183	7	the	the	DET
hjic-233	183	8	function	function	NOUN
hjic-233	183	9	ψ(x	ψ(x	NOUN
hjic-233	183	10	)	)	PUNCT
hjic-233	183	11	equals	equal	VERB
hjic-233	183	12	0.05	0.05	NUM
hjic-233	183	13	for	for	ADP
hjic-233	183	14	x	x	SYM
hjic-233	183	15	=	=	SYM
hjic-233	183	16	15	15	NUM
hjic-233	183	17	.	.	PUNCT
hjic-233	184	1	we	we	PRON
hjic-233	184	2	numerically	numerically	ADV
hjic-233	184	3	determined	determine	VERB
hjic-233	184	4	the	the	DET
hjic-233	184	5	roots	root	NOUN
hjic-233	184	6	of	of	ADP
hjic-233	184	7	equation	equation	NOUN
hjic-233	184	8	ψ(x	ψ(x	NOUN
hjic-233	184	9	)	)	PUNCT
hjic-233	184	10	=	=	SYM
hjic-233	184	11	0.05	0.05	NUM
hjic-233	184	12	,	,	PUNCT
hjic-233	184	13	which	which	PRON
hjic-233	184	14	is	be	AUX
hjic-233	184	15	x	x	X
hjic-233	184	16	=	=	SYM
hjic-233	184	17	15.61	15.61	NUM
hjic-233	184	18	and	and	CCONJ
hjic-233	184	19	ψ(x	ψ(x	NUM
hjic-233	184	20	)	)	PUNCT
hjic-233	184	21	=	=	NUM
hjic-233	184	22	0.01	0.01	NUM
hjic-233	184	23	which	which	PRON
hjic-233	184	24	holds	hold	VERB
hjic-233	184	25	for	for	ADP
hjic-233	184	26	x	x	SYM
hjic-233	184	27	=	=	SYM
hjic-233	184	28	23.7945	23.7945	NUM
hjic-233	184	29	.	.	PUNCT
hjic-233	185	1	therefore	therefore	ADV
hjic-233	185	2	,	,	PUNCT
hjic-233	185	3	if	if	SCONJ
hjic-233	185	4	we	we	PRON
hjic-233	185	5	want	want	VERB
hjic-233	185	6	to	to	PART
hjic-233	185	7	ensure	ensure	VERB
hjic-233	185	8	operation	operation	NOUN
hjic-233	185	9	of	of	ADP
hjic-233	185	10	the	the	DET
hjic-233	185	11	continuous	continuous	ADJ
hjic-233	185	12	processing	processing	NOUN
hjic-233	185	13	system	system	NOUN
hjic-233	185	14	without	without	ADP
hjic-233	185	15	emptying	empty	VERB
hjic-233	185	16	of	of	ADP
hjic-233	185	17	the	the	DET
hjic-233	185	18	intermediate	intermediate	ADJ
hjic-233	185	19	storage	storage	NOUN
hjic-233	185	20	with	with	ADP
hjic-233	185	21	probability	probability	NOUN
hjic-233	185	22	0.95	0.95	NUM
hjic-233	185	23	we	we	PRON
hjic-233	185	24	have	have	VERB
hjic-233	185	25	to	to	PART
hjic-233	185	26	start	start	VERB
hjic-233	185	27	to	to	PART
hjic-233	185	28	operate	operate	VERB
hjic-233	185	29	the	the	DET
hjic-233	185	30	system	system	NOUN
hjic-233	185	31	with	with	ADP
hjic-233	185	32	initial	initial	ADJ
hjic-233	185	33	amount	amount	NOUN
hjic-233	185	34	of	of	ADP
hjic-233	185	35	material	material	NOUN
hjic-233	185	36	equal	equal	ADJ
hjic-233	185	37	to	to	ADP
hjic-233	185	38	15.6154	15.6154	NUM
hjic-233	185	39	units	unit	NOUN
hjic-233	185	40	.	.	PUNCT
hjic-233	186	1	0	0	NUM
hjic-233	186	2	2	2	NUM
hjic-233	186	3	4	4	NUM
hjic-233	186	4	6	6	NUM
hjic-233	186	5	8	8	NUM
hjic-233	186	6	10	10	NUM
hjic-233	186	7	12	12	NUM
hjic-233	186	8	14	14	NUM
hjic-233	186	9	16	16	NUM
hjic-233	186	10	18	18	NUM
hjic-233	186	11	20	20	NUM
hjic-233	186	12	0	0	NUM
hjic-233	186	13	0.1	0.1	NUM
hjic-233	186	14	0.2	0.2	NUM
hjic-233	186	15	0.3	0.3	NUM
hjic-233	186	16	0.4	0.4	NUM
hjic-233	186	17	0.5	0.5	NUM
hjic-233	186	18	0.6	0.6	NUM
hjic-233	186	19	0.7	0.7	NUM
hjic-233	186	20	0.8	0.8	NUM
hjic-233	186	21	0.9	0.9	NUM
hjic-233	186	22	1	1	NUM
hjic-233	186	23	figure	figure	NOUN
hjic-233	186	24	10	10	NUM
hjic-233	186	25	:	:	PUNCT
hjic-233	186	26	function	function	NOUN
hjic-233	186	27	ψ(x	ψ(x	NOUN
hjic-233	186	28	)	)	PUNCT
hjic-233	186	29	in	in	ADP
hjic-233	186	30	case	case	NOUN
hjic-233	186	31	of	of	ADP
hjic-233	186	32	erlang	erlang	PROPN
hjic-233	186	33	(	(	PUNCT
hjic-233	186	34	2	2	NUM
hjic-233	186	35	)	)	PUNCT
hjic-233	186	36	distributed	distribute	VERB
hjic-233	186	37	inter	inter	ADJ
hjic-233	186	38	-	-	NOUN
hjic-233	186	39	arrival	arrival	ADJ
hjic-233	186	40	times	time	NOUN
hjic-233	186	41	and	and	CCONJ
hjic-233	186	42	constant	constant	ADJ
hjic-233	186	43	amount	amount	NOUN
hjic-233	186	44	of	of	ADP
hjic-233	186	45	material	material	NOUN
hjic-233	186	46	however	however	ADV
hjic-233	186	47	,	,	PUNCT
hjic-233	186	48	in	in	ADP
hjic-233	186	49	spite	spite	NOUN
hjic-233	186	50	of	of	ADP
hjic-233	186	51	having	have	VERB
hjic-233	186	52	this	this	DET
hjic-233	186	53	amount	amount	NOUN
hjic-233	186	54	of	of	ADP
hjic-233	186	55	material	material	NOUN
hjic-233	186	56	the	the	DET
hjic-233	186	57	storage	storage	NOUN
hjic-233	186	58	may	may	AUX
hjic-233	186	59	still	still	ADV
hjic-233	186	60	become	become	VERB
hjic-233	186	61	empty	empty	ADJ
hjic-233	186	62	with	with	ADP
hjic-233	186	63	probability	probability	NOUN
hjic-233	186	64	0.05	0.05	NUM
hjic-233	186	65	.	.	PUNCT
hjic-233	187	1	the	the	DET
hjic-233	187	2	expected	expect	VERB
hjic-233	187	3	time	time	NOUN
hjic-233	187	4	of	of	ADP
hjic-233	187	5	this	this	DET
hjic-233	187	6	event	event	NOUN
hjic-233	187	7	is	be	AUX
hjic-233	187	8	5398.12)1	5398.12)1	NOUN
hjic-233	187	9	(	(	PUNCT
hjic-233	187	10	=	=	NOUN
hjic-233	187	11	∞<vtvte	∞<vtvte	NOUN
hjic-233	187	12	units	unit	NOUN
hjic-233	187	13	.	.	PUNCT
hjic-233	188	1	references	reference	NOUN
hjic-233	188	2	1	1	NUM
hjic-233	188	3	.	.	PUNCT
hjic-233	188	4	gerber	gerber	PROPN
hjic-233	188	5	h.	h.	PROPN
hjic-233	188	6	u.	u.	PROPN
hjic-233	188	7	,shiu	,shiu	PUNCT
hjic-233	188	8	e.	e.	PROPN
hjic-233	188	9	s.	s.	PROPN
hjic-233	188	10	w.	w.	PROPN
hjic-233	188	11	:	:	PUNCT
hjic-233	188	12	on	on	ADP
hjic-233	188	13	the	the	DET
hjic-233	188	14	time	time	NOUN
hjic-233	188	15	value	value	NOUN
hjic-233	188	16	of	of	ADP
hjic-233	188	17	ruin	ruin	NOUN
hjic-233	188	18	,	,	PUNCT
hjic-233	188	19	north	north	ADJ
hjic-233	188	20	american	american	ADJ
hjic-233	188	21	actuarial	actuarial	ADJ
hjic-233	188	22	journal	journal	NOUN
hjic-233	188	23	2	2	NUM
hjic-233	188	24	(	(	PUNCT
hjic-233	188	25	1998	1998	NUM
hjic-233	188	26	)	)	PUNCT
hjic-233	188	27	,	,	PUNCT
hjic-233	188	28	48–78	48–78	NUM
hjic-233	188	29	.	.	NOUN
hjic-233	188	30	2	2	NUM
hjic-233	188	31	.	.	X
hjic-233	188	32	lee	lee	PROPN
hjic-233	188	33	e.	e.	PROPN
hjic-233	188	34	s.	s.	PROPN
hjic-233	188	35	,	,	PUNCT
hjic-233	188	36	reklaitis	reklaitis	PROPN
hjic-233	188	37	g.	g.	PROPN
hjic-233	188	38	v.	v.	PROPN
hjic-233	188	39	:	:	PUNCT
hjic-233	188	40	intermediate	intermediate	ADJ
hjic-233	188	41	sto	sto	ADJ
hjic-233	188	42	-	-	NOUN
hjic-233	188	43	rage	rage	NOUN
hjic-233	188	44	and	and	CCONJ
hjic-233	188	45	operation	operation	NOUN
hjic-233	188	46	of	of	ADP
hjic-233	188	47	batch	batch	NOUN
hjic-233	188	48	processes	process	NOUN
hjic-233	188	49	under	under	ADP
hjic-233	188	50	batch	batch	NOUN
hjic-233	188	51	failure	failure	NOUN
hjic-233	188	52	.	.	PUNCT
hjic-233	189	1	comp	comp	NOUN
hjic-233	189	2	.	.	PUNCT
hjic-233	189	3	chem	chem	PROPN
hjic-233	189	4	.	.	PUNCT
hjic-233	190	1	eng	eng	PROPN
hjic-233	190	2	.	.	PROPN
hjic-233	190	3	,	,	PUNCT
hjic-233	190	4	13	13	NUM
hjic-233	190	5	(	(	PUNCT
hjic-233	190	6	1989	1989	NUM
hjic-233	190	7	)	)	PUNCT
hjic-233	190	8	,	,	PUNCT
hjic-233	190	9	411–498	411–498	NUM
hjic-233	190	10	.	.	NOUN
hjic-233	191	1	3	3	X
hjic-233	191	2	.	.	X
hjic-233	191	3	odi	odi	PROPN
hjic-233	191	4	t.	t.	PROPN
hjic-233	191	5	o.	o.	PROPN
hjic-233	191	6	,	,	PUNCT
hjic-233	191	7	karimi	karimi	PROPN
hjic-233	191	8	i.	i.	PROPN
hjic-233	191	9	a.	a.	PROPN
hjic-233	191	10	:	:	PUNCT
hjic-233	191	11	a	a	DET
hjic-233	191	12	general	general	ADJ
hjic-233	191	13	stochastic	stochastic	ADJ
hjic-233	191	14	model	model	NOUN
hjic-233	191	15	for	for	ADP
hjic-233	191	16	intermediate	intermediate	ADJ
hjic-233	191	17	storage	storage	NOUN
hjic-233	191	18	in	in	ADP
hjic-233	191	19	non	non	ADJ
hjic-233	191	20	-	-	ADJ
hjic-233	191	21	continuous	continuous	ADJ
hjic-233	191	22	processes	process	NOUN
hjic-233	191	23	.	.	PUNCT
hjic-233	192	1	chem	chem	NOUN
hjic-233	192	2	.	.	PUNCT
hjic-233	193	1	eng	eng	PROPN
hjic-233	193	2	.	.	PUNCT
hjic-233	194	1	sci	sci	PROPN
hjic-233	194	2	.	.	PROPN
hjic-233	194	3	,	,	PUNCT
hjic-233	194	4	45	45	NUM
hjic-233	194	5	(	(	PUNCT
hjic-233	194	6	1990	1990	NUM
hjic-233	194	7	)	)	PUNCT
hjic-233	194	8	,	,	PUNCT
hjic-233	194	9	3533–3549	3533–3549	NUM
hjic-233	194	10	.	.	PUNCT
hjic-233	195	1	4	4	NUM
hjic-233	195	2	.	.	X
hjic-233	195	3	orbán	orbán	NOUN
hjic-233	195	4	-	-	PUNCT
hjic-233	195	5	mihálykó	mihálykó	NOUN
hjic-233	195	6	é	é	PROPN
hjic-233	195	7	.	.	PROPN
hjic-233	195	8	,	,	PUNCT
hjic-233	195	9	lakatos	lakatos	PROPN
hjic-233	195	10	g.	g.	PROPN
hjic-233	195	11	b.	b.	PROPN
hjic-233	195	12	:	:	PUNCT
hjic-233	195	13	intermediate	intermediate	ADJ
hjic-233	195	14	storage	storage	NOUN
hjic-233	195	15	in	in	ADP
hjic-233	195	16	batch	batch	NOUN
hjic-233	195	17	/	/	SYM
hjic-233	195	18	continuous	continuous	ADJ
hjic-233	195	19	processing	processing	NOUN
hjic-233	195	20	systems	system	NOUN
hjic-233	195	21	under	under	ADP
hjic-233	195	22	stochastic	stochastic	ADJ
hjic-233	195	23	operation	operation	NOUN
hjic-233	195	24	conditions	condition	NOUN
hjic-233	195	25	.	.	PUNCT
hjic-233	196	1	comp	comp	NOUN
hjic-233	196	2	.	.	PUNCT
hjic-233	196	3	chem	chem	PROPN
hjic-233	196	4	.	.	PUNCT
hjic-233	197	1	eng	eng	PROPN
hjic-233	197	2	.	.	PROPN
hjic-233	197	3	,	,	PUNCT
hjic-233	197	4	28	28	NUM
hjic-233	197	5	(	(	PUNCT
hjic-233	197	6	2004	2004	NUM
hjic-233	197	7	)	)	PUNCT
hjic-233	197	8	,	,	PUNCT
hjic-233	197	9	2493–2508	2493–2508	NUM
hjic-233	197	10	.	.	PUNCT
hjic-233	198	1	x	x	PUNCT
hjic-233	198	2	φ(x	φ(x	PROPN
hjic-233	198	3	,	,	PUNCT
hjic-233	198	4	δ	δ	PROPN
hjic-233	198	5	)	)	PUNCT
hjic-233	198	6	x	x	X
hjic-233	199	1	λ	λ	NOUN
hjic-233	199	2	=	=	NOUN
hjic-233	199	3	2.1	2.1	NUM
hjic-233	199	4	n	n	NOUN
hjic-233	199	5	=	=	SYM
hjic-233	199	6	2	2	NUM
hjic-233	199	7	c	c	NOUN
hjic-233	199	8	=	=	SYM
hjic-233	199	9	1	1	NUM
hjic-233	199	10	yi	yi	NOUN
hjic-233	199	11	≡	≡	PROPN
hjic-233	199	12	1	1	NUM
hjic-233	199	13	x	x	SYM
hjic-233	199	14	ψ(x	ψ(x	NOUN
hjic-233	199	15	)	)	PUNCT
hjic-233	199	16	δ	δ	PROPN
hjic-233	199	17	λ	λ	NOUN
hjic-233	199	18	=	=	NOUN
hjic-233	199	19	2.1	2.1	NUM
hjic-233	199	20	n	n	NOUN
hjic-233	199	21	=	=	SYM
hjic-233	199	22	2	2	NUM
hjic-233	199	23	c	c	NOUN
hjic-233	199	24	=	=	SYM
hjic-233	199	25	1	1	NUM
hjic-233	199	26	yi	yi	NOUN
hjic-233	199	27	≡	≡	PROPN
hjic-233	199	28	1	1	NUM