id	sid	tid	token	lemma	pos
bjmsr-379	1	1	copyright	copyright	NOUN
bjmsr-379	1	2	©	©	PROPN
bjmsr-379	1	3	cc	cc	PROPN
bjmsr-379	1	4	-	-	PUNCT
bjmsr-379	1	5	by	by	ADP
bjmsr-379	1	6	-	-	PUNCT
bjmsr-379	1	7	nc	nc	PROPN
bjmsr-379	1	8	2019	2019	NUM
bjmsr-379	1	9	,	,	PUNCT
bjmsr-379	1	10	bjmsr	bjmsr	PROPN
bjmsr-379	1	11	bangladesh	bangladesh	PROPN
bjmsr-379	1	12	journal	journal	PROPN
bjmsr-379	1	13	of	of	ADP
bjmsr-379	1	14	multidisciplinary	multidisciplinary	ADJ
bjmsr-379	1	15	scientific	scientific	ADJ
bjmsr-379	1	16	research	research	NOUN
bjmsr-379	1	17	;	;	PUNCT
bjmsr-379	1	18	vol	vol	NOUN
bjmsr-379	1	19	.	.	NOUN
bjmsr-379	1	20	1	1	NUM
bjmsr-379	1	21	,	,	PUNCT
bjmsr-379	1	22	no	no	INTJ
bjmsr-379	1	23	.	.	NOUN
bjmsr-379	1	24	2	2	NUM
bjmsr-379	1	25	issn	issn	PROPN
bjmsr-379	1	26	2687	2687	NUM
bjmsr-379	1	27	-	-	PUNCT
bjmsr-379	1	28	850x	850x	NUM
bjmsr-379	1	29	e	e	NOUN
bjmsr-379	1	30	-	-	PROPN
bjmsr-379	1	31	issn	issn	PROPN
bjmsr-379	1	32	2687	2687	NUM
bjmsr-379	1	33	-	-	SYM
bjmsr-379	1	34	8518	8518	NUM
bjmsr-379	1	35	july	july	PROPN
bjmsr-379	1	36	-	-	PUNCT
bjmsr-379	1	37	september	september	PROPN
bjmsr-379	1	38	;	;	PUNCT
bjmsr-379	1	39	2019	2019	NUM
bjmsr-379	1	40	published	publish	VERB
bjmsr-379	1	41	by	by	ADP
bjmsr-379	1	42	centre	centre	NOUN
bjmsr-379	1	43	for	for	ADP
bjmsr-379	1	44	research	research	NOUN
bjmsr-379	1	45	on	on	ADP
bjmsr-379	1	46	islamic	islamic	ADJ
bjmsr-379	1	47	banking	banking	PROPN
bjmsr-379	1	48	&	&	CCONJ
bjmsr-379	1	49	finance	finance	PROPN
bjmsr-379	1	50	and	and	CCONJ
bjmsr-379	1	51	business	business	NOUN
bjmsr-379	1	52	46	46	NUM
bjmsr-379	1	53	application	application	NOUN
bjmsr-379	1	54	of	of	ADP
bjmsr-379	1	55	single	single	ADJ
bjmsr-379	1	56	-	-	PUNCT
bjmsr-379	1	57	server	server	NOUN
bjmsr-379	1	58	queue	queue	NOUN
bjmsr-379	1	59	system	system	NOUN
bjmsr-379	1	60	in	in	ADP
bjmsr-379	1	61	performance	performance	NOUN
bjmsr-379	1	62	analysis	analysis	NOUN
bjmsr-379	1	63	of	of	ADP
bjmsr-379	1	64	shuttle	shuttle	NOUN
bjmsr-379	1	65	bus	bus	NOUN
bjmsr-379	1	66	operation	operation	NOUN
bjmsr-379	1	67	:	:	PUNCT
bjmsr-379	1	68	a	a	DET
bjmsr-379	1	69	case	case	NOUN
bjmsr-379	1	70	study	study	NOUN
bjmsr-379	1	71	of	of	ADP
bjmsr-379	1	72	federal	federal	PROPN
bjmsr-379	1	73	university	university	PROPN
bjmsr-379	1	74	of	of	ADP
bjmsr-379	1	75	technology	technology	NOUN
bjmsr-379	1	76	akure	akure	NOUN
bjmsr-379	1	77	kanyio	kanyio	NOUN
bjmsr-379	1	78	olufunto	olufunto	ADP
bjmsr-379	1	79	adedotun	adedotun	PROPN
bjmsr-379	1	80	department	department	PROPN
bjmsr-379	1	81	of	of	ADP
bjmsr-379	1	82	transport	transport	NOUN
bjmsr-379	1	83	management	management	NOUN
bjmsr-379	1	84	technology	technology	NOUN
bjmsr-379	1	85	the	the	DET
bjmsr-379	1	86	federal	federal	ADJ
bjmsr-379	1	87	university	university	PROPN
bjmsr-379	1	88	of	of	ADP
bjmsr-379	1	89	technology	technology	NOUN
bjmsr-379	1	90	,	,	PUNCT
bjmsr-379	1	91	akure	akure	NOUN
bjmsr-379	1	92	ondo	ondo	NOUN
bjmsr-379	1	93	state	state	PROPN
bjmsr-379	1	94	,	,	PUNCT
bjmsr-379	1	95	nigeria	nigeria	PROPN
bjmsr-379	1	96	e	e	NOUN
bjmsr-379	1	97	-	-	NOUN
bjmsr-379	1	98	mail	mail	NOUN
bjmsr-379	1	99	:	:	PUNCT
bjmsr-379	1	100	oobembe97@gmail.com	oobembe97@gmail.com	X
bjmsr-379	1	101	abstract	abstract	ADV
bjmsr-379	1	102	this	this	DET
bjmsr-379	1	103	study	study	NOUN
bjmsr-379	1	104	has	have	AUX
bjmsr-379	1	105	examined	examine	VERB
bjmsr-379	1	106	the	the	DET
bjmsr-379	1	107	performance	performance	NOUN
bjmsr-379	1	108	of	of	ADP
bjmsr-379	1	109	university	university	NOUN
bjmsr-379	1	110	transport	transport	NOUN
bjmsr-379	1	111	bus	bus	NOUN
bjmsr-379	1	112	shuttle	shuttle	NOUN
bjmsr-379	1	113	based	base	VERB
bjmsr-379	1	114	on	on	ADP
bjmsr-379	1	115	utilization	utilization	NOUN
bjmsr-379	1	116	using	use	VERB
bjmsr-379	1	117	a	a	DET
bjmsr-379	1	118	single	single	ADJ
bjmsr-379	1	119	-	-	PUNCT
bjmsr-379	1	120	server	server	NOUN
bjmsr-379	1	121	queue	queue	NOUN
bjmsr-379	1	122	system	system	NOUN
bjmsr-379	1	123	which	which	PRON
bjmsr-379	1	124	occur	occur	VERB
bjmsr-379	1	125	if	if	SCONJ
bjmsr-379	1	126	arrival	arrival	NOUN
bjmsr-379	1	127	and	and	CCONJ
bjmsr-379	1	128	service	service	NOUN
bjmsr-379	1	129	rate	rate	NOUN
bjmsr-379	1	130	is	be	AUX
bjmsr-379	1	131	poisson	poisson	NOUN
bjmsr-379	1	132	distributed	distribute	VERB
bjmsr-379	1	133	(	(	PUNCT
bjmsr-379	1	134	single	single	ADJ
bjmsr-379	1	135	queue	queue	NOUN
bjmsr-379	1	136	)	)	PUNCT
bjmsr-379	1	137	(	(	PUNCT
bjmsr-379	1	138	m	m	NOUN
bjmsr-379	1	139	/	/	SYM
bjmsr-379	1	140	m/1	m/1	NOUN
bjmsr-379	1	141	)	)	PUNCT
bjmsr-379	1	142	queue	queue	NOUN
bjmsr-379	1	143	.	.	PUNCT
bjmsr-379	2	1	in	in	ADP
bjmsr-379	2	2	the	the	DET
bjmsr-379	2	3	methodology	methodology	NOUN
bjmsr-379	2	4	,	,	PUNCT
bjmsr-379	2	5	singleserver	singleserver	NOUN
bjmsr-379	2	6	queue	queue	NOUN
bjmsr-379	2	7	system	system	NOUN
bjmsr-379	2	8	was	be	AUX
bjmsr-379	2	9	modelled	model	VERB
bjmsr-379	2	10	based	base	VERB
bjmsr-379	2	11	on	on	ADP
bjmsr-379	2	12	poisson	poisson	NOUN
bjmsr-379	2	13	process	process	NOUN
bjmsr-379	2	14	with	with	ADP
bjmsr-379	2	15	the	the	DET
bjmsr-379	2	16	introduction	introduction	NOUN
bjmsr-379	2	17	of	of	ADP
bjmsr-379	2	18	laplace	laplace	NOUN
bjmsr-379	2	19	transform	transform	NOUN
bjmsr-379	2	20	.	.	PUNCT
bjmsr-379	3	1	also	also	ADV
bjmsr-379	3	2	,	,	PUNCT
bjmsr-379	3	3	pasta	pasta	NOUN
bjmsr-379	3	4	was	be	AUX
bjmsr-379	3	5	introduced	introduce	VERB
bjmsr-379	3	6	in	in	ADP
bjmsr-379	3	7	queuing	queue	VERB
bjmsr-379	3	8	systems	system	NOUN
bjmsr-379	3	9	with	with	ADP
bjmsr-379	3	10	poisson	poisson	PROPN
bjmsr-379	3	11	arrivals	arrival	NOUN
bjmsr-379	3	12	.	.	PUNCT
bjmsr-379	4	1	it	it	PRON
bjmsr-379	4	2	is	be	AUX
bjmsr-379	4	3	concluded	conclude	VERB
bjmsr-379	4	4	that	that	SCONJ
bjmsr-379	4	5	the	the	DET
bjmsr-379	4	6	performance	performance	NOUN
bjmsr-379	4	7	of	of	ADP
bjmsr-379	4	8	university	university	NOUN
bjmsr-379	4	9	transport	transport	NOUN
bjmsr-379	4	10	bus	bus	NOUN
bjmsr-379	4	11	shuttle	shuttle	NOUN
bjmsr-379	4	12	is	be	AUX
bjmsr-379	4	13	93	93	NUM
bjmsr-379	4	14	percent	percent	NOUN
bjmsr-379	4	15	which	which	PRON
bjmsr-379	4	16	indicates	indicate	VERB
bjmsr-379	4	17	a	a	DET
bjmsr-379	4	18	very	very	ADV
bjmsr-379	4	19	good	good	ADJ
bjmsr-379	4	20	performance	performance	NOUN
bjmsr-379	4	21	such	such	ADJ
bjmsr-379	4	22	that	that	SCONJ
bjmsr-379	4	23	the	the	DET
bjmsr-379	4	24	supply	supply	NOUN
bjmsr-379	4	25	of	of	ADP
bjmsr-379	4	26	shuttle	shuttle	NOUN
bjmsr-379	4	27	bus	bus	NOUN
bjmsr-379	4	28	in	in	ADP
bjmsr-379	4	29	futa	futa	PROPN
bjmsr-379	4	30	is	be	AUX
bjmsr-379	4	31	capable	capable	ADJ
bjmsr-379	4	32	of	of	ADP
bjmsr-379	4	33	meeting	meet	VERB
bjmsr-379	4	34	the	the	DET
bjmsr-379	4	35	demand	demand	NOUN
bjmsr-379	4	36	.	.	PUNCT
bjmsr-379	5	1	this	this	DET
bjmsr-379	5	2	study	study	NOUN
bjmsr-379	5	3	can	can	AUX
bjmsr-379	5	4	be	be	AUX
bjmsr-379	5	5	improved	improve	VERB
bjmsr-379	5	6	upon	upon	SCONJ
bjmsr-379	5	7	by	by	ADP
bjmsr-379	5	8	examining	examine	VERB
bjmsr-379	5	9	the	the	DET
bjmsr-379	5	10	peak	peak	NOUN
bjmsr-379	5	11	and	and	CCONJ
bjmsr-379	5	12	off	off	ADP
bjmsr-379	5	13	-	-	PUNCT
bjmsr-379	5	14	peak	peak	NOUN
bjmsr-379	5	15	period	period	NOUN
bjmsr-379	5	16	of	of	ADP
bjmsr-379	5	17	traffic	traffic	NOUN
bjmsr-379	5	18	in	in	ADP
bjmsr-379	5	19	the	the	DET
bjmsr-379	5	20	two	two	NUM
bjmsr-379	5	21	major	major	ADJ
bjmsr-379	5	22	corridors	corridor	NOUN
bjmsr-379	5	23	(	(	PUNCT
bjmsr-379	5	24	north	north	NOUN
bjmsr-379	5	25	gate	gate	NOUN
bjmsr-379	5	26	and	and	CCONJ
bjmsr-379	5	27	south	south	PROPN
bjmsr-379	5	28	gate	gate	NOUN
bjmsr-379	5	29	)	)	PUNCT
bjmsr-379	5	30	of	of	ADP
bjmsr-379	5	31	futa	futa	PROPN
bjmsr-379	5	32	,	,	PUNCT
bjmsr-379	5	33	the	the	DET
bjmsr-379	5	34	economic	economic	ADJ
bjmsr-379	5	35	cost	cost	NOUN
bjmsr-379	5	36	of	of	ADP
bjmsr-379	5	37	operating	operate	VERB
bjmsr-379	5	38	bus	bus	NOUN
bjmsr-379	5	39	shuttle	shuttle	NOUN
bjmsr-379	5	40	services	service	NOUN
bjmsr-379	5	41	can	can	AUX
bjmsr-379	5	42	also	also	ADV
bjmsr-379	5	43	be	be	AUX
bjmsr-379	5	44	examined	examine	VERB
bjmsr-379	5	45	.	.	PUNCT
bjmsr-379	6	1	keywords	keyword	NOUN
bjmsr-379	6	2	:	:	PUNCT
bjmsr-379	6	3	single	single	ADJ
bjmsr-379	6	4	-	-	PUNCT
bjmsr-379	6	5	server	server	NOUN
bjmsr-379	6	6	queue	queue	NOUN
bjmsr-379	6	7	system	system	NOUN
bjmsr-379	6	8	;	;	PUNCT
bjmsr-379	6	9	transit	transit	NOUN
bjmsr-379	6	10	shuttle	shuttle	NOUN
bjmsr-379	6	11	buses	bus	NOUN
bjmsr-379	6	12	;	;	PUNCT
bjmsr-379	6	13	futa	futa	PROPN
bjmsr-379	6	14	1.introduction	1.introduction	NUM
bjmsr-379	6	15	the	the	DET
bjmsr-379	6	16	issues	issue	NOUN
bjmsr-379	6	17	arising	arise	VERB
bjmsr-379	6	18	from	from	ADP
bjmsr-379	6	19	transportation	transportation	NOUN
bjmsr-379	6	20	has	have	AUX
bjmsr-379	6	21	continually	continually	ADV
bjmsr-379	6	22	subjected	subject	VERB
bjmsr-379	6	23	to	to	ADP
bjmsr-379	6	24	various	various	ADJ
bjmsr-379	6	25	debates	debate	NOUN
bjmsr-379	6	26	in	in	ADP
bjmsr-379	6	27	the	the	DET
bjmsr-379	6	28	urban	urban	ADJ
bjmsr-379	6	29	societies	society	NOUN
bjmsr-379	6	30	.	.	PUNCT
bjmsr-379	7	1	globally	globally	ADV
bjmsr-379	7	2	,	,	PUNCT
bjmsr-379	7	3	several	several	ADJ
bjmsr-379	7	4	attempts	attempt	NOUN
bjmsr-379	7	5	have	have	AUX
bjmsr-379	7	6	been	be	AUX
bjmsr-379	7	7	made	make	VERB
bjmsr-379	7	8	to	to	PART
bjmsr-379	7	9	tackle	tackle	VERB
bjmsr-379	7	10	the	the	DET
bjmsr-379	7	11	challenges	challenge	NOUN
bjmsr-379	7	12	,	,	PUNCT
bjmsr-379	7	13	although	although	SCONJ
bjmsr-379	7	14	the	the	DET
bjmsr-379	7	15	situation	situation	NOUN
bjmsr-379	7	16	is	be	AUX
bjmsr-379	7	17	not	not	PART
bjmsr-379	7	18	getting	get	VERB
bjmsr-379	7	19	much	much	ADV
bjmsr-379	7	20	better	well	ADJ
bjmsr-379	7	21	(	(	PUNCT
bjmsr-379	7	22	aderamo	aderamo	NOUN
bjmsr-379	7	23	,	,	PUNCT
bjmsr-379	7	24	2012	2012	NUM
bjmsr-379	7	25	;	;	PUNCT
bjmsr-379	7	26	adanikin	adanikin	ADJ
bjmsr-379	7	27	,	,	PUNCT
bjmsr-379	7	28	olutaiwo	olutaiwo	NOUN
bjmsr-379	7	29	,	,	PUNCT
bjmsr-379	7	30	and	and	CCONJ
bjmsr-379	7	31	obafemi	obafemi	ADV
bjmsr-379	7	32	,	,	PUNCT
bjmsr-379	7	33	2017	2017	NUM
bjmsr-379	7	34	;	;	PUNCT
bjmsr-379	7	35	sidiq	sidiq	ADJ
bjmsr-379	7	36	,	,	PUNCT
bjmsr-379	7	37	2019	2019	NUM
bjmsr-379	7	38	)	)	PUNCT
bjmsr-379	7	39	.	.	PUNCT
bjmsr-379	8	1	managing	manage	VERB
bjmsr-379	8	2	transport	transport	NOUN
bjmsr-379	8	3	infrastructures	infrastructure	NOUN
bjmsr-379	8	4	is	be	AUX
bjmsr-379	8	5	crucial	crucial	ADJ
bjmsr-379	8	6	to	to	PART
bjmsr-379	8	7	facilitate	facilitate	VERB
bjmsr-379	8	8	accessible	accessible	ADJ
bjmsr-379	8	9	,	,	PUNCT
bjmsr-379	8	10	affordable	affordable	ADJ
bjmsr-379	8	11	,	,	PUNCT
bjmsr-379	8	12	reliable	reliable	ADJ
bjmsr-379	8	13	,	,	PUNCT
bjmsr-379	8	14	safe	safe	ADJ
bjmsr-379	8	15	,	,	PUNCT
bjmsr-379	8	16	and	and	CCONJ
bjmsr-379	8	17	efficient	efficient	ADJ
bjmsr-379	8	18	that	that	DET
bjmsr-379	8	19	movement	movement	NOUN
bjmsr-379	8	20	of	of	ADP
bjmsr-379	8	21	people	people	NOUN
bjmsr-379	8	22	and	and	CCONJ
bjmsr-379	8	23	goods	good	NOUN
bjmsr-379	8	24	,	,	PUNCT
bjmsr-379	8	25	which	which	PRON
bjmsr-379	8	26	can	can	AUX
bjmsr-379	8	27	be	be	AUX
bjmsr-379	8	28	achieved	achieve	VERB
bjmsr-379	8	29	by	by	ADP
bjmsr-379	8	30	continous	continous	ADJ
bjmsr-379	8	31	assessment	assessment	NOUN
bjmsr-379	8	32	of	of	ADP
bjmsr-379	8	33	transport	transport	NOUN
bjmsr-379	8	34	performance	performance	NOUN
bjmsr-379	8	35	indicators	indicator	NOUN
bjmsr-379	8	36	.	.	PUNCT
bjmsr-379	9	1	among	among	ADP
bjmsr-379	9	2	the	the	DET
bjmsr-379	9	3	various	various	ADJ
bjmsr-379	9	4	modes	mode	NOUN
bjmsr-379	9	5	of	of	ADP
bjmsr-379	9	6	transport	transport	NOUN
bjmsr-379	9	7	,	,	PUNCT
bjmsr-379	9	8	the	the	DET
bjmsr-379	9	9	road	road	NOUN
bjmsr-379	9	10	transport	transport	NOUN
bjmsr-379	9	11	is	be	AUX
bjmsr-379	9	12	highly	highly	ADV
bjmsr-379	9	13	predominant	predominant	ADJ
bjmsr-379	9	14	which	which	PRON
bjmsr-379	9	15	offers	offer	VERB
bjmsr-379	9	16	door	door	NOUN
bjmsr-379	9	17	-	-	PUNCT
bjmsr-379	9	18	todoor	todoor	NOUN
bjmsr-379	9	19	service	service	NOUN
bjmsr-379	9	20	as	as	ADP
bjmsr-379	9	21	in	in	ADP
bjmsr-379	9	22	the	the	DET
bjmsr-379	9	23	case	case	NOUN
bjmsr-379	9	24	of	of	ADP
bjmsr-379	9	25	the	the	DET
bjmsr-379	9	26	federal	federal	ADJ
bjmsr-379	9	27	university	university	PROPN
bjmsr-379	9	28	of	of	ADP
bjmsr-379	9	29	technology	technology	NOUN
bjmsr-379	9	30	akure	akure	NOUN
bjmsr-379	9	31	(	(	PUNCT
bjmsr-379	9	32	futa	futa	PROPN
bjmsr-379	9	33	)	)	PUNCT
bjmsr-379	9	34	.	.	PUNCT
bjmsr-379	10	1	road	road	NOUN
bjmsr-379	10	2	transport	transport	NOUN
bjmsr-379	10	3	infrastructure	infrastructure	NOUN
bjmsr-379	10	4	in	in	ADP
bjmsr-379	10	5	the	the	DET
bjmsr-379	10	6	university	university	NOUN
bjmsr-379	10	7	is	be	AUX
bjmsr-379	10	8	commonly	commonly	ADV
bjmsr-379	10	9	plied	ply	VERB
bjmsr-379	10	10	by	by	ADP
bjmsr-379	10	11	shuttle	shuttle	NOUN
bjmsr-379	10	12	buses	bus	NOUN
bjmsr-379	10	13	for	for	ADP
bjmsr-379	10	14	the	the	DET
bjmsr-379	10	15	movement	movement	NOUN
bjmsr-379	10	16	of	of	ADP
bjmsr-379	10	17	the	the	DET
bjmsr-379	10	18	students	student	NOUN
bjmsr-379	10	19	,	,	PUNCT
bjmsr-379	10	20	staff	staff	NOUN
bjmsr-379	10	21	,	,	PUNCT
bjmsr-379	10	22	members	member	NOUN
bjmsr-379	10	23	and	and	CCONJ
bjmsr-379	10	24	non	non	NOUN
bjmsr-379	10	25	-	-	NOUN
bjmsr-379	10	26	members	member	NOUN
bjmsr-379	10	27	of	of	ADP
bjmsr-379	10	28	the	the	DET
bjmsr-379	10	29	institution	institution	NOUN
bjmsr-379	10	30	to	to	ADP
bjmsr-379	10	31	and	and	CCONJ
bjmsr-379	10	32	from	from	ADP
bjmsr-379	10	33	the	the	DET
bjmsr-379	10	34	university	university	NOUN
bjmsr-379	10	35	on	on	ADP
bjmsr-379	10	36	a	a	DET
bjmsr-379	10	37	daily	daily	ADJ
bjmsr-379	10	38	basis	basis	NOUN
bjmsr-379	10	39	.	.	PUNCT
bjmsr-379	11	1	among	among	ADP
bjmsr-379	11	2	the	the	DET
bjmsr-379	11	3	noticeable	noticeable	ADJ
bjmsr-379	11	4	transportation	transportation	NOUN
bjmsr-379	11	5	problems	problem	NOUN
bjmsr-379	11	6	in	in	ADP
bjmsr-379	11	7	the	the	DET
bjmsr-379	11	8	university	university	NOUN
bjmsr-379	11	9	are	be	AUX
bjmsr-379	11	10	traffic	traffic	NOUN
bjmsr-379	11	11	congestion	congestion	NOUN
bjmsr-379	11	12	;	;	PUNCT
bjmsr-379	11	13	longer	long	ADV
bjmsr-379	11	14	commuting	commuting	NOUN
bjmsr-379	11	15	;	;	PUNCT
bjmsr-379	11	16	public	public	ADJ
bjmsr-379	11	17	transport	transport	NOUN
bjmsr-379	11	18	inadequacy	inadequacy	NOUN
bjmsr-379	11	19	;	;	PUNCT
bjmsr-379	11	20	difficulties	difficulty	NOUN
bjmsr-379	11	21	for	for	SCONJ
bjmsr-379	11	22	tricycles	tricycle	NOUN
bjmsr-379	11	23	to	to	PART
bjmsr-379	11	24	have	have	VERB
bjmsr-379	11	25	access	access	NOUN
bjmsr-379	11	26	to	to	ADP
bjmsr-379	11	27	routes	route	NOUN
bjmsr-379	11	28	being	be	AUX
bjmsr-379	11	29	plied	ply	VERB
bjmsr-379	11	30	by	by	ADP
bjmsr-379	11	31	shuttle	shuttle	NOUN
bjmsr-379	11	32	buses	bus	NOUN
bjmsr-379	11	33	,	,	PUNCT
bjmsr-379	11	34	challenge	challenge	NOUN
bjmsr-379	11	35	of	of	ADP
bjmsr-379	11	36	freight	freight	NOUN
bjmsr-379	11	37	distribution	distribution	NOUN
bjmsr-379	11	38	from	from	ADP
bjmsr-379	11	39	one	one	NUM
bjmsr-379	11	40	end	end	NOUN
bjmsr-379	11	41	of	of	ADP
bjmsr-379	11	42	the	the	DET
bjmsr-379	11	43	university	university	NOUN
bjmsr-379	11	44	to	to	ADP
bjmsr-379	11	45	another	another	DET
bjmsr-379	11	46	end	end	NOUN
bjmsr-379	11	47	,	,	PUNCT
bjmsr-379	11	48	and	and	CCONJ
bjmsr-379	11	49	other	other	ADJ
bjmsr-379	11	50	challenges	challenge	NOUN
bjmsr-379	11	51	which	which	PRON
bjmsr-379	11	52	all	all	PRON
bjmsr-379	11	53	impacts	impact	VERB
bjmsr-379	11	54	the	the	DET
bjmsr-379	11	55	performance	performance	NOUN
bjmsr-379	11	56	of	of	ADP
bjmsr-379	11	57	the	the	DET
bjmsr-379	11	58	university	university	NOUN
bjmsr-379	11	59	transport	transport	NOUN
bjmsr-379	11	60	shuttle	shuttle	NOUN
bjmsr-379	11	61	.	.	PUNCT
bjmsr-379	12	1	this	this	DET
bjmsr-379	12	2	study	study	NOUN
bjmsr-379	12	3	concentrates	concentrate	VERB
bjmsr-379	12	4	on	on	ADP
bjmsr-379	12	5	the	the	DET
bjmsr-379	12	6	performance	performance	NOUN
bjmsr-379	12	7	of	of	ADP
bjmsr-379	12	8	university	university	NOUN
bjmsr-379	12	9	transport	transport	NOUN
bjmsr-379	12	10	bus	bus	NOUN
bjmsr-379	12	11	shuttle	shuttle	NOUN
bjmsr-379	12	12	with	with	ADP
bjmsr-379	12	13	the	the	DET
bjmsr-379	12	14	aim	aim	NOUN
bjmsr-379	12	15	of	of	ADP
bjmsr-379	12	16	examining	examine	VERB
bjmsr-379	12	17	the	the	DET
bjmsr-379	12	18	bus	bus	NOUN
bjmsr-379	12	19	shuttle	shuttle	NOUN
bjmsr-379	12	20	efficiency	efficiency	NOUN
bjmsr-379	12	21	based	base	VERB
bjmsr-379	12	22	on	on	ADP
bjmsr-379	12	23	utilization	utilization	NOUN
bjmsr-379	12	24	.	.	PUNCT
bjmsr-379	13	1	adeniran	adeniran	PROPN
bjmsr-379	13	2	and	and	CCONJ
bjmsr-379	13	3	kanyio	kanyio	NOUN
bjmsr-379	13	4	(	(	PUNCT
bjmsr-379	13	5	2019	2019	NUM
bjmsr-379	13	6	)	)	PUNCT
bjmsr-379	13	7	have	have	AUX
bjmsr-379	13	8	laid	lay	VERB
bjmsr-379	13	9	a	a	DET
bjmsr-379	13	10	foundation	foundation	NOUN
bjmsr-379	13	11	of	of	ADP
bjmsr-379	13	12	model	model	NOUN
bjmsr-379	13	13	on	on	ADP
bjmsr-379	13	14	single	single	ADJ
bjmsr-379	13	15	-	-	PUNCT
bjmsr-379	13	16	server	server	NOUN
bjmsr-379	13	17	queue	queue	NOUN
bjmsr-379	13	18	system	system	NOUN
bjmsr-379	13	19	which	which	PRON
bjmsr-379	13	20	this	this	DET
bjmsr-379	13	21	study	study	NOUN
bjmsr-379	13	22	will	will	AUX
bjmsr-379	13	23	absolutely	absolutely	ADV
bjmsr-379	13	24	rely	rely	VERB
bjmsr-379	13	25	on	on	ADP
bjmsr-379	13	26	.	.	PUNCT
bjmsr-379	14	1	a	a	DET
bjmsr-379	14	2	similar	similar	ADJ
bjmsr-379	14	3	study	study	NOUN
bjmsr-379	14	4	was	be	AUX
bjmsr-379	14	5	conducted	conduct	VERB
bjmsr-379	14	6	by	by	ADP
bjmsr-379	14	7	adanikin	adanikin	NOUN
bjmsr-379	14	8	,	,	PUNCT
bjmsr-379	14	9	olutaiwo	olutaiwo	NOUN
bjmsr-379	14	10	,	,	PUNCT
bjmsr-379	14	11	and	and	CCONJ
bjmsr-379	14	12	obafemi	obafemi	ADV
bjmsr-379	14	13	(	(	PUNCT
bjmsr-379	14	14	2017	2017	NUM
bjmsr-379	14	15	)	)	PUNCT
bjmsr-379	14	16	on	on	ADP
bjmsr-379	14	17	the	the	DET
bjmsr-379	14	18	performance	performance	NOUN
bjmsr-379	14	19	study	study	NOUN
bjmsr-379	14	20	of	of	ADP
bjmsr-379	14	21	university	university	PROPN
bjmsr-379	14	22	of	of	ADP
bjmsr-379	14	23	ado	ado	PROPN
bjmsr-379	14	24	ekiti	ekiti	PROPN
bjmsr-379	14	25	(	(	PUNCT
bjmsr-379	14	26	unad	unad	PROPN
bjmsr-379	14	27	)	)	PUNCT
bjmsr-379	14	28	transit	transit	NOUN
bjmsr-379	14	29	shuttle	shuttle	NOUN
bjmsr-379	14	30	buses	bus	NOUN
bjmsr-379	14	31	.	.	PUNCT
bjmsr-379	15	1	they	they	PRON
bjmsr-379	15	2	adopted	adopt	VERB
bjmsr-379	15	3	traffic	traffic	NOUN
bjmsr-379	15	4	volume	volume	NOUN
bjmsr-379	15	5	,	,	PUNCT
bjmsr-379	15	6	speed	speed	NOUN
bjmsr-379	15	7	,	,	PUNCT
bjmsr-379	15	8	density	density	NOUN
bjmsr-379	15	9	and	and	CCONJ
bjmsr-379	15	10	revenue	revenue	NOUN
bjmsr-379	15	11	as	as	ADP
bjmsr-379	15	12	main	main	ADJ
bjmsr-379	15	13	parameters	parameter	NOUN
bjmsr-379	15	14	of	of	ADP
bjmsr-379	15	15	performance	performance	NOUN
bjmsr-379	15	16	of	of	ADP
bjmsr-379	15	17	transport	transport	NOUN
bjmsr-379	15	18	shuttles	shuttle	NOUN
bjmsr-379	15	19	,	,	PUNCT
bjmsr-379	15	20	and	and	CCONJ
bjmsr-379	15	21	find	find	VERB
bjmsr-379	15	22	that	that	SCONJ
bjmsr-379	15	23	the	the	DET
bjmsr-379	15	24	morning	morning	NOUN
bjmsr-379	15	25	peak	peak	NOUN
bjmsr-379	15	26	period	period	NOUN
bjmsr-379	15	27	(	(	PUNCT
bjmsr-379	15	28	8.00am	8.00am	NUM
bjmsr-379	15	29	to	to	ADP
bjmsr-379	15	30	9.00am	9.00am	NUM
bjmsr-379	15	31	)	)	PUNCT
bjmsr-379	15	32	has	have	VERB
bjmsr-379	15	33	234	234	NUM
bjmsr-379	15	34	vehicles	vehicle	NOUN
bjmsr-379	15	35	/	/	SYM
bjmsr-379	15	36	hr	hr	NOUN
bjmsr-379	15	37	,	,	PUNCT
bjmsr-379	15	38	evening	evening	NOUN
bjmsr-379	15	39	peak	peak	NOUN
bjmsr-379	15	40	period	period	NOUN
bjmsr-379	15	41	(	(	PUNCT
bjmsr-379	15	42	2.00pm	2.00pm	NUM
bjmsr-379	15	43	to	to	ADP
bjmsr-379	15	44	3.00pm	3.00pm	NUM
bjmsr-379	15	45	)	)	PUNCT
bjmsr-379	15	46	has	have	VERB
bjmsr-379	15	47	284	284	NUM
bjmsr-379	15	48	vehicles	vehicle	NOUN
bjmsr-379	15	49	/	/	SYM
bjmsr-379	15	50	hr	hr	NOUN
bjmsr-379	15	51	,	,	PUNCT
bjmsr-379	15	52	while	while	SCONJ
bjmsr-379	15	53	the	the	DET
bjmsr-379	15	54	off	off	ADP
bjmsr-379	15	55	-	-	PUNCT
bjmsr-379	15	56	peak	peak	NOUN
bjmsr-379	15	57	period	period	NOUN
bjmsr-379	15	58	(	(	PUNCT
bjmsr-379	15	59	11.00am	11.00am	NUM
bjmsr-379	15	60	to	to	PART
bjmsr-379	15	61	12.00pm	12.00pm	NUM
bjmsr-379	15	62	)	)	PUNCT
bjmsr-379	15	63	has	have	VERB
bjmsr-379	15	64	156	156	NUM
bjmsr-379	15	65	vehicles	vehicle	NOUN
bjmsr-379	15	66	/	/	SYM
bjmsr-379	15	67	hr	hr	NOUN
bjmsr-379	15	68	.	.	PUNCT
bjmsr-379	16	1	also	also	ADV
bjmsr-379	16	2	,	,	PUNCT
bjmsr-379	16	3	the	the	DET
bjmsr-379	16	4	average	average	ADJ
bjmsr-379	16	5	stopping	stopping	NOUN
bjmsr-379	16	6	time	time	NOUN
bjmsr-379	16	7	was	be	AUX
bjmsr-379	16	8	6.55	6.55	NUM
bjmsr-379	16	9	minutes	minute	NOUN
bjmsr-379	16	10	,	,	PUNCT
bjmsr-379	16	11	average	average	ADJ
bjmsr-379	16	12	interval	interval	NOUN
bjmsr-379	16	13	between	between	ADP
bjmsr-379	16	14	arrivals	arrival	NOUN
bjmsr-379	16	15	of	of	ADP
bjmsr-379	16	16	motorists	motorist	NOUN
bjmsr-379	16	17	was	be	AUX
bjmsr-379	16	18	16.40	16.40	NUM
bjmsr-379	16	19	seconds	second	NOUN
bjmsr-379	16	20	,	,	PUNCT
bjmsr-379	16	21	the	the	DET
bjmsr-379	16	22	average	average	ADJ
bjmsr-379	16	23	queue	queue	NOUN
bjmsr-379	16	24	length	length	NOUN
bjmsr-379	16	25	was	be	AUX
bjmsr-379	16	26	14.23	14.23	NUM
bjmsr-379	16	27	people	people	NOUN
bjmsr-379	16	28	,	,	PUNCT
bjmsr-379	16	29	and	and	CCONJ
bjmsr-379	16	30	the	the	DET
bjmsr-379	16	31	average	average	ADJ
bjmsr-379	16	32	waiting	waiting	NOUN
bjmsr-379	16	33	time	time	NOUN
bjmsr-379	16	34	at	at	ADP
bjmsr-379	16	35	the	the	DET
bjmsr-379	16	36	bus	bus	NOUN
bjmsr-379	16	37	-	-	PUNCT
bjmsr-379	16	38	stop	stop	VERB
bjmsr-379	16	39	4.17	4.17	NUM
bjmsr-379	16	40	minutes	minute	NOUN
bjmsr-379	16	41	.	.	PUNCT
bjmsr-379	17	1	these	these	DET
bjmsr-379	17	2	values	value	NOUN
bjmsr-379	17	3	were	be	AUX
bjmsr-379	17	4	obtained	obtain	VERB
bjmsr-379	17	5	using	use	VERB
bjmsr-379	17	6	the	the	DET
bjmsr-379	17	7	queuing	queuing	NOUN
bjmsr-379	17	8	theory	theory	NOUN
bjmsr-379	17	9	and	and	CCONJ
bjmsr-379	17	10	shows	show	VERB
bjmsr-379	17	11	much	much	ADJ
bjmsr-379	17	12	commuters	commuter	NOUN
bjmsr-379	17	13	time	time	NOUN
bjmsr-379	17	14	is	be	AUX
bjmsr-379	17	15	lost	lose	VERB
bjmsr-379	17	16	on	on	ADP
bjmsr-379	17	17	transit	transit	NOUN
bjmsr-379	17	18	queues	queue	NOUN
bjmsr-379	17	19	.	.	PUNCT
bjmsr-379	18	1	this	this	DET
bjmsr-379	18	2	study	study	NOUN
bjmsr-379	18	3	focuses	focus	VERB
bjmsr-379	18	4	on	on	ADP
bjmsr-379	18	5	the	the	DET
bjmsr-379	18	6	performance	performance	NOUN
bjmsr-379	18	7	of	of	ADP
bjmsr-379	18	8	bus	bus	NOUN
bjmsr-379	18	9	terminal	terminal	NOUN
bjmsr-379	18	10	in	in	ADP
bjmsr-379	18	11	futa	futa	PROPN
bjmsr-379	18	12	,	,	PUNCT
bjmsr-379	18	13	and	and	CCONJ
bjmsr-379	18	14	does	do	AUX
bjmsr-379	18	15	not	not	PART
bjmsr-379	18	16	factor	factor	VERB
bjmsr-379	18	17	in	in	ADP
bjmsr-379	18	18	other	other	ADJ
bjmsr-379	18	19	parameters	parameter	NOUN
bjmsr-379	18	20	such	such	ADJ
bjmsr-379	18	21	as	as	ADP
bjmsr-379	18	22	peak	peak	NOUN
bjmsr-379	18	23	period	period	NOUN
bjmsr-379	18	24	,	,	PUNCT
bjmsr-379	18	25	traffic	traffic	NOUN
bjmsr-379	18	26	volume	volume	NOUN
bjmsr-379	18	27	,	,	PUNCT
bjmsr-379	18	28	traffic	traffic	NOUN
bjmsr-379	18	29	speed	speed	NOUN
bjmsr-379	18	30	,	,	PUNCT
bjmsr-379	18	31	density	density	NOUN
bjmsr-379	18	32	,	,	PUNCT
bjmsr-379	18	33	and	and	CCONJ
bjmsr-379	18	34	others	other	NOUN
bjmsr-379	18	35	.	.	PUNCT
bjmsr-379	19	1	a	a	DET
bjmsr-379	19	2	very	very	ADV
bjmsr-379	19	3	close	close	ADJ
bjmsr-379	19	4	study	study	NOUN
bjmsr-379	19	5	was	be	AUX
bjmsr-379	19	6	examined	examine	VERB
bjmsr-379	19	7	by	by	ADP
bjmsr-379	19	8	sidiq	sidiq	PROPN
bjmsr-379	19	9	(	(	PUNCT
bjmsr-379	19	10	2019	2019	NUM
bjmsr-379	19	11	)	)	PUNCT
bjmsr-379	19	12	on	on	ADP
bjmsr-379	19	13	single	single	ADJ
bjmsr-379	19	14	-	-	PUNCT
bjmsr-379	19	15	server	server	NOUN
bjmsr-379	19	16	queue	queue	NOUN
bjmsr-379	19	17	system	system	NOUN
bjmsr-379	19	18	of	of	ADP
bjmsr-379	19	19	shuttle	shuttle	NOUN
bjmsr-379	19	20	bus	bus	NOUN
bjmsr-379	19	21	performance	performance	NOUN
bjmsr-379	19	22	in	in	ADP
bjmsr-379	19	23	the	the	DET
bjmsr-379	19	24	federal	federal	ADJ
bjmsr-379	19	25	university	university	PROPN
bjmsr-379	19	26	of	of	ADP
bjmsr-379	19	27	technology	technology	NOUN
bjmsr-379	19	28	akure	akure	NOUN
bjmsr-379	19	29	.	.	PUNCT
bjmsr-379	20	1	in	in	ADP
bjmsr-379	20	2	his	his	PRON
bjmsr-379	20	3	study	study	NOUN
bjmsr-379	20	4	,	,	PUNCT
bjmsr-379	20	5	single	single	ADJ
bjmsr-379	20	6	server	server	NOUN
bjmsr-379	20	7	queue	queue	NOUN
bjmsr-379	20	8	system	system	NOUN
bjmsr-379	20	9	was	be	AUX
bjmsr-379	20	10	modelled	model	VERB
bjmsr-379	20	11	based	base	VERB
bjmsr-379	20	12	on	on	ADP
bjmsr-379	20	13	poisson	poisson	NOUN
bjmsr-379	20	14	process	process	NOUN
bjmsr-379	20	15	with	with	ADP
bjmsr-379	20	16	the	the	DET
bjmsr-379	20	17	introduction	introduction	NOUN
bjmsr-379	20	18	of	of	ADP
bjmsr-379	20	19	laplace	laplace	NOUN
bjmsr-379	20	20	transform	transform	NOUN
bjmsr-379	20	21	which	which	PRON
bjmsr-379	20	22	was	be	AUX
bjmsr-379	20	23	culled	cull	VERB
bjmsr-379	20	24	from	from	ADP
bjmsr-379	20	25	adeniran	adeniran	NOUN
bjmsr-379	20	26	and	and	CCONJ
bjmsr-379	20	27	kanyio	kanyio	NOUN
bjmsr-379	20	28	(	(	PUNCT
bjmsr-379	20	29	2019	2019	NUM
bjmsr-379	20	30	)	)	PUNCT
bjmsr-379	20	31	.	.	PUNCT
bjmsr-379	21	1	the	the	DET
bjmsr-379	21	2	study	study	NOUN
bjmsr-379	21	3	finds	find	VERB
bjmsr-379	21	4	that	that	SCONJ
bjmsr-379	21	5	the	the	DET
bjmsr-379	21	6	performance	performance	NOUN
bjmsr-379	21	7	of	of	ADP
bjmsr-379	21	8	university	university	NOUN
bjmsr-379	21	9	transport	transport	NOUN
bjmsr-379	21	10	bus	bus	NOUN
bjmsr-379	21	11	shuttle	shuttle	NOUN
bjmsr-379	21	12	is	be	AUX
bjmsr-379	21	13	96.6	96.6	NUM
bjmsr-379	21	14	percent	percent	NOUN
bjmsr-379	21	15	which	which	PRON
bjmsr-379	21	16	indicates	indicate	VERB
bjmsr-379	21	17	a	a	DET
bjmsr-379	21	18	very	very	ADV
bjmsr-379	21	19	good	good	ADJ
bjmsr-379	21	20	performance	performance	NOUN
bjmsr-379	21	21	such	such	ADJ
bjmsr-379	21	22	that	that	SCONJ
bjmsr-379	21	23	the	the	DET
bjmsr-379	21	24	supply	supply	NOUN
bjmsr-379	21	25	of	of	ADP
bjmsr-379	21	26	mailto:oobembe97@gmail.com	mailto:oobembe97@gmail.com	NOUN
bjmsr-379	21	27	copyright	copyright	NOUN
bjmsr-379	22	1	©	©	PROPN
bjmsr-379	22	2	cc	cc	PROPN
bjmsr-379	22	3	-	-	PUNCT
bjmsr-379	22	4	by	by	ADP
bjmsr-379	22	5	-	-	PUNCT
bjmsr-379	22	6	nc	nc	PROPN
bjmsr-379	22	7	2019	2019	NUM
bjmsr-379	22	8	,	,	PUNCT
bjmsr-379	22	9	bjmsr	bjmsr	PROPN
bjmsr-379	22	10	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-379	23	1	bangladesh	bangladesh	PROPN
bjmsr-379	23	2	journal	journal	PROPN
bjmsr-379	23	3	of	of	ADP
bjmsr-379	23	4	multidisciplinary	multidisciplinary	ADJ
bjmsr-379	23	5	scientific	scientific	ADJ
bjmsr-379	23	6	research	research	NOUN
bjmsr-379	23	7	vol	vol	NOUN
bjmsr-379	23	8	.	.	PROPN
bjmsr-379	23	9	1	1	NUM
bjmsr-379	23	10	,	,	PUNCT
bjmsr-379	23	11	no	no	INTJ
bjmsr-379	23	12	.	.	NOUN
bjmsr-379	23	13	2	2	NUM
bjmsr-379	23	14	;	;	PUNCT
bjmsr-379	23	15	2019	2019	NUM
bjmsr-379	23	16	47	47	NUM
bjmsr-379	23	17	shuttle	shuttle	NOUN
bjmsr-379	23	18	bus	bus	NOUN
bjmsr-379	23	19	in	in	ADP
bjmsr-379	23	20	futa	futa	PROPN
bjmsr-379	23	21	is	be	AUX
bjmsr-379	23	22	capable	capable	ADJ
bjmsr-379	23	23	of	of	ADP
bjmsr-379	23	24	meeting	meet	VERB
bjmsr-379	23	25	the	the	DET
bjmsr-379	23	26	demand	demand	NOUN
bjmsr-379	23	27	.	.	PUNCT
bjmsr-379	24	1	this	this	DET
bjmsr-379	24	2	present	present	ADJ
bjmsr-379	24	3	study	study	NOUN
bjmsr-379	24	4	was	be	AUX
bjmsr-379	24	5	conducted	conduct	VERB
bjmsr-379	24	6	barely	barely	ADV
bjmsr-379	24	7	two	two	NUM
bjmsr-379	24	8	weeks	week	NOUN
bjmsr-379	24	9	after	after	SCONJ
bjmsr-379	24	10	the	the	DET
bjmsr-379	24	11	study	study	NOUN
bjmsr-379	24	12	of	of	ADP
bjmsr-379	24	13	sidiq	sidiq	PROPN
bjmsr-379	24	14	was	be	AUX
bjmsr-379	24	15	conducted	conduct	VERB
bjmsr-379	24	16	,	,	PUNCT
bjmsr-379	24	17	and	and	CCONJ
bjmsr-379	24	18	will	will	AUX
bjmsr-379	24	19	replicate	replicate	VERB
bjmsr-379	24	20	the	the	DET
bjmsr-379	24	21	methodology	methodology	NOUN
bjmsr-379	24	22	of	of	ADP
bjmsr-379	24	23	sidiq	sidiq	NOUN
bjmsr-379	24	24	as	as	SCONJ
bjmsr-379	24	25	culled	cull	VERB
bjmsr-379	24	26	from	from	ADP
bjmsr-379	24	27	adeniran	adeniran	NOUN
bjmsr-379	24	28	and	and	CCONJ
bjmsr-379	24	29	kanyio	kanyio	NOUN
bjmsr-379	24	30	(	(	PUNCT
bjmsr-379	24	31	2019	2019	NUM
bjmsr-379	24	32	)	)	PUNCT
bjmsr-379	24	33	.	.	PUNCT
bjmsr-379	25	1	2	2	X
bjmsr-379	25	2	.	.	X
bjmsr-379	25	3	methodology	methodology	NOUN
bjmsr-379	25	4	2.1	2.1	NUM
bjmsr-379	25	5	concept	concept	NOUN
bjmsr-379	25	6	of	of	ADP
bjmsr-379	25	7	queuing	queue	VERB
bjmsr-379	25	8	the	the	DET
bjmsr-379	25	9	concept	concept	NOUN
bjmsr-379	25	10	of	of	ADP
bjmsr-379	25	11	queue	queue	NOUN
bjmsr-379	25	12	was	be	AUX
bjmsr-379	25	13	first	first	ADV
bjmsr-379	25	14	used	use	VERB
bjmsr-379	25	15	for	for	ADP
bjmsr-379	25	16	the	the	DET
bjmsr-379	25	17	analysis	analysis	NOUN
bjmsr-379	25	18	of	of	ADP
bjmsr-379	25	19	telephone	telephone	NOUN
bjmsr-379	25	20	call	call	NOUN
bjmsr-379	25	21	traffic	traffic	NOUN
bjmsr-379	25	22	in	in	ADP
bjmsr-379	25	23	1913	1913	NUM
bjmsr-379	25	24	(	(	PUNCT
bjmsr-379	25	25	copper	copper	NOUN
bjmsr-379	25	26	,	,	PUNCT
bjmsr-379	25	27	1981	1981	NUM
bjmsr-379	25	28	;	;	PUNCT
bjmsr-379	25	29	gross	gross	ADJ
bjmsr-379	25	30	and	and	CCONJ
bjmsr-379	25	31	harris	harris	PROPN
bjmsr-379	25	32	,	,	PUNCT
bjmsr-379	25	33	1985	1985	NUM
bjmsr-379	25	34	;	;	PUNCT
bjmsr-379	25	35	bastani	bastani	NOUN
bjmsr-379	25	36	,	,	PUNCT
bjmsr-379	25	37	2009	2009	NUM
bjmsr-379	25	38	)	)	PUNCT
bjmsr-379	25	39	.	.	PUNCT
bjmsr-379	26	1	in	in	ADP
bjmsr-379	26	2	a	a	DET
bjmsr-379	26	3	system	system	NOUN
bjmsr-379	26	4	that	that	PRON
bjmsr-379	26	5	deals	deal	VERB
bjmsr-379	26	6	with	with	ADP
bjmsr-379	26	7	the	the	DET
bjmsr-379	26	8	rate	rate	NOUN
bjmsr-379	26	9	of	of	ADP
bjmsr-379	26	10	arrival	arrival	NOUN
bjmsr-379	26	11	and	and	CCONJ
bjmsr-379	26	12	service	service	NOUN
bjmsr-379	26	13	rate	rate	NOUN
bjmsr-379	26	14	,	,	PUNCT
bjmsr-379	26	15	waiting	wait	VERB
bjmsr-379	26	16	time	time	NOUN
bjmsr-379	26	17	is	be	AUX
bjmsr-379	26	18	inevitable	inevitable	ADJ
bjmsr-379	26	19	and	and	CCONJ
bjmsr-379	26	20	it	it	PRON
bjmsr-379	26	21	is	be	AUX
bjmsr-379	26	22	always	always	ADV
bjmsr-379	26	23	influenced	influence	VERB
bjmsr-379	26	24	by	by	ADP
bjmsr-379	26	25	queue	queue	NOUN
bjmsr-379	26	26	length	length	NOUN
bjmsr-379	26	27	.	.	PUNCT
bjmsr-379	27	1	it	it	PRON
bjmsr-379	27	2	is	be	AUX
bjmsr-379	27	3	therefore	therefore	ADV
bjmsr-379	27	4	crucial	crucial	ADJ
bjmsr-379	27	5	to	to	PART
bjmsr-379	27	6	minimize	minimize	VERB
bjmsr-379	27	7	the	the	DET
bjmsr-379	27	8	waiting	waiting	NOUN
bjmsr-379	27	9	time	time	NOUN
bjmsr-379	27	10	to	to	ADP
bjmsr-379	27	11	the	the	DET
bjmsr-379	27	12	lowest	low	ADJ
bjmsr-379	27	13	level	level	NOUN
bjmsr-379	27	14	in	in	ADP
bjmsr-379	27	15	the	the	DET
bjmsr-379	27	16	bus	bus	NOUN
bjmsr-379	27	17	terminal	terminal	NOUN
bjmsr-379	27	18	(	(	PUNCT
bjmsr-379	27	19	jain	jain	PROPN
bjmsr-379	27	20	,	,	PUNCT
bjmsr-379	27	21	mohanty	mohanty	PROPN
bjmsr-379	27	22	and	and	CCONJ
bjmsr-379	27	23	bohm	bohm	PROPN
bjmsr-379	27	24	,	,	PUNCT
bjmsr-379	27	25	2007	2007	NUM
bjmsr-379	27	26	)	)	PUNCT
bjmsr-379	27	27	.	.	PUNCT
bjmsr-379	28	1	this	this	PRON
bjmsr-379	28	2	is	be	AUX
bjmsr-379	28	3	referred	refer	VERB
bjmsr-379	28	4	to	to	ADP
bjmsr-379	28	5	as	as	ADP
bjmsr-379	28	6	queuing	queue	VERB
bjmsr-379	28	7	system	system	NOUN
bjmsr-379	28	8	(	(	PUNCT
bjmsr-379	28	9	adeniran	adeniran	NOUN
bjmsr-379	28	10	and	and	CCONJ
bjmsr-379	28	11	kanyio	kanyio	NOUN
bjmsr-379	28	12	,	,	PUNCT
bjmsr-379	28	13	2019	2019	NUM
bjmsr-379	28	14	)	)	PUNCT
bjmsr-379	28	15	.	.	PUNCT
bjmsr-379	29	1	the	the	DET
bjmsr-379	29	2	basic	basic	ADJ
bjmsr-379	29	3	application	application	NOUN
bjmsr-379	29	4	of	of	ADP
bjmsr-379	29	5	queue	queue	NOUN
bjmsr-379	29	6	is	be	AUX
bjmsr-379	29	7	shown	show	VERB
bjmsr-379	29	8	in	in	ADP
bjmsr-379	29	9	figure	figure	NOUN
bjmsr-379	29	10	1	1	NUM
bjmsr-379	29	11	,	,	PUNCT
bjmsr-379	29	12	also	also	ADV
bjmsr-379	29	13	the	the	DET
bjmsr-379	29	14	basic	basic	ADJ
bjmsr-379	29	15	quantities	quantity	NOUN
bjmsr-379	29	16	are	be	AUX
bjmsr-379	29	17	:	:	PUNCT
bjmsr-379	29	18	i.	i.	NOUN
bjmsr-379	29	19	number	number	NOUN
bjmsr-379	29	20	of	of	ADP
bjmsr-379	29	21	customers	customer	NOUN
bjmsr-379	29	22	in	in	ADP
bjmsr-379	29	23	queue	queue	NOUN
bjmsr-379	29	24	l	l	NOUN
bjmsr-379	29	25	(	(	PUNCT
bjmsr-379	29	26	for	for	ADP
bjmsr-379	29	27	length	length	NOUN
bjmsr-379	29	28	)	)	PUNCT
bjmsr-379	29	29	;	;	PUNCT
bjmsr-379	29	30	ii	ii	PROPN
bjmsr-379	29	31	.	.	PROPN
bjmsr-379	29	32	time	time	PROPN
bjmsr-379	29	33	spent	spend	VERB
bjmsr-379	29	34	in	in	ADP
bjmsr-379	29	35	queue	queue	NOUN
bjmsr-379	29	36	w	w	NOUN
bjmsr-379	29	37	for	for	ADP
bjmsr-379	29	38	(	(	PUNCT
bjmsr-379	29	39	wait	wait	PROPN
bjmsr-379	29	40	)	)	PUNCT
bjmsr-379	29	41	figure1	figure1	PROPN
bjmsr-379	29	42	:	:	PUNCT
bjmsr-379	29	43	basic	basic	ADJ
bjmsr-379	29	44	application	application	NOUN
bjmsr-379	29	45	of	of	ADP
bjmsr-379	29	46	queue	queue	NOUN
bjmsr-379	29	47	source	source	NOUN
bjmsr-379	29	48	:	:	PUNCT
bjmsr-379	29	49	adeniran	adeniran	NOUN
bjmsr-379	29	50	and	and	CCONJ
bjmsr-379	29	51	kanyio	kanyio	NOUN
bjmsr-379	29	52	(	(	PUNCT
bjmsr-379	29	53	2019	2019	NUM
bjmsr-379	29	54	)	)	PUNCT
bjmsr-379	29	55	examples	example	NOUN
bjmsr-379	29	56	of	of	ADP
bjmsr-379	29	57	queue	queue	NOUN
bjmsr-379	29	58	system	system	NOUN
bjmsr-379	29	59	are	be	AUX
bjmsr-379	29	60	:	:	PUNCT
bjmsr-379	29	61	1	1	X
bjmsr-379	29	62	.	.	X
bjmsr-379	29	63	single	single	ADJ
bjmsr-379	29	64	-	-	PUNCT
bjmsr-379	29	65	server	server	NOUN
bjmsr-379	29	66	queue	queue	NOUN
bjmsr-379	29	67	system	system	NOUN
bjmsr-379	29	68	:	:	PUNCT
bjmsr-379	29	69	this	this	PRON
bjmsr-379	29	70	is	be	AUX
bjmsr-379	29	71	also	also	ADV
bjmsr-379	29	72	referred	refer	VERB
bjmsr-379	29	73	to	to	ADP
bjmsr-379	29	74	as	as	ADP
bjmsr-379	29	75	single	single	ADJ
bjmsr-379	29	76	queue	queue	NOUN
bjmsr-379	29	77	,	,	PUNCT
bjmsr-379	29	78	single	single	ADJ
bjmsr-379	29	79	server	server	NOUN
bjmsr-379	29	80	.	.	PUNCT
bjmsr-379	30	1	it	it	PRON
bjmsr-379	30	2	is	be	AUX
bjmsr-379	30	3	simple	simple	ADJ
bjmsr-379	30	4	if	if	SCONJ
bjmsr-379	30	5	arrivals	arrival	NOUN
bjmsr-379	30	6	and	and	CCONJ
bjmsr-379	30	7	services	service	NOUN
bjmsr-379	30	8	are	be	AUX
bjmsr-379	30	9	poisson	poisson	NOUN
bjmsr-379	30	10	distributed	distribute	VERB
bjmsr-379	30	11	(	(	PUNCT
bjmsr-379	30	12	m	m	NOUN
bjmsr-379	30	13	/	/	SYM
bjmsr-379	30	14	m/1	m/1	NOUN
bjmsr-379	30	15	)	)	PUNCT
bjmsr-379	30	16	queue	queue	NOUN
bjmsr-379	30	17	.	.	PUNCT
bjmsr-379	31	1	it	it	PRON
bjmsr-379	31	2	has	have	VERB
bjmsr-379	31	3	limited	limit	VERB
bjmsr-379	31	4	number	number	NOUN
bjmsr-379	31	5	of	of	ADP
bjmsr-379	31	6	spots	spot	NOUN
bjmsr-379	31	7	and	and	CCONJ
bjmsr-379	31	8	not	not	PART
bjmsr-379	31	9	difficult	difficult	ADJ
bjmsr-379	31	10	.	.	PUNCT
bjmsr-379	32	1	figure	figure	NOUN
bjmsr-379	32	2	2	2	NUM
bjmsr-379	32	3	depicts	depict	VERB
bjmsr-379	32	4	single	single	ADJ
bjmsr-379	32	5	-	-	PUNCT
bjmsr-379	32	6	server	server	NOUN
bjmsr-379	32	7	queue	queue	NOUN
bjmsr-379	32	8	system	system	NOUN
bjmsr-379	32	9	.	.	PUNCT
bjmsr-379	33	1	figure	figure	NOUN
bjmsr-379	33	2	2	2	NUM
bjmsr-379	33	3	:	:	PUNCT
bjmsr-379	33	4	single	single	ADJ
bjmsr-379	33	5	-	-	PUNCT
bjmsr-379	33	6	server	server	NOUN
bjmsr-379	33	7	queue	queue	NOUN
bjmsr-379	33	8	system	system	NOUN
bjmsr-379	33	9	source	source	NOUN
bjmsr-379	33	10	:	:	PUNCT
bjmsr-379	33	11	adeniran	adeniran	NOUN
bjmsr-379	33	12	and	and	CCONJ
bjmsr-379	33	13	kanyio	kanyio	NOUN
bjmsr-379	33	14	(	(	PUNCT
bjmsr-379	33	15	2019	2019	NUM
bjmsr-379	33	16	)	)	PUNCT
bjmsr-379	33	17	2	2	NUM
bjmsr-379	33	18	.	.	X
bjmsr-379	33	19	multi	multi	ADJ
bjmsr-379	33	20	-	-	ADJ
bjmsr-379	33	21	server	server	ADJ
bjmsr-379	33	22	queue	queue	NOUN
bjmsr-379	33	23	system	system	NOUN
bjmsr-379	33	24	:	:	PUNCT
bjmsr-379	33	25	this	this	PRON
bjmsr-379	33	26	is	be	AUX
bjmsr-379	33	27	comprises	comprise	NOUN
bjmsr-379	33	28	of	of	ADP
bjmsr-379	33	29	single	single	ADJ
bjmsr-379	33	30	queue	queue	NOUN
bjmsr-379	33	31	,	,	PUNCT
bjmsr-379	33	32	many	many	ADJ
bjmsr-379	33	33	servers	server	NOUN
bjmsr-379	33	34	(	(	PUNCT
bjmsr-379	33	35	m	m	NOUN
bjmsr-379	33	36	/	/	SYM
bjmsr-379	33	37	m	m	PROPN
bjmsr-379	33	38	/	/	SYM
bjmsr-379	33	39	c	c	NOUN
bjmsr-379	33	40	)	)	PUNCT
bjmsr-379	33	41	queue	queue	NOUN
bjmsr-379	33	42	.	.	PUNCT
bjmsr-379	34	1	the	the	DET
bjmsr-379	34	2	c	c	PROPN
bjmsr-379	34	3	is	be	AUX
bjmsr-379	34	4	referred	refer	VERB
bjmsr-379	34	5	to	to	ADP
bjmsr-379	34	6	as	as	ADP
bjmsr-379	34	7	poisson	poisson	NOUN
bjmsr-379	34	8	servers	server	NOUN
bjmsr-379	34	9	.	.	PUNCT
bjmsr-379	35	1	figure	figure	VERB
bjmsr-379	35	2	3	3	NUM
bjmsr-379	35	3	depicts	depict	VERB
bjmsr-379	35	4	multiple	multiple	ADJ
bjmsr-379	35	5	-	-	PUNCT
bjmsr-379	35	6	server	server	NOUN
bjmsr-379	35	7	queue	queue	NOUN
bjmsr-379	35	8	system	system	NOUN
bjmsr-379	35	9	.	.	PUNCT
bjmsr-379	36	1	figure	figure	VERB
bjmsr-379	36	2	3	3	NUM
bjmsr-379	36	3	:	:	PUNCT
bjmsr-379	36	4	multiple	multiple	ADJ
bjmsr-379	36	5	-	-	PUNCT
bjmsr-379	36	6	server	server	NOUN
bjmsr-379	36	7	queue	queue	NOUN
bjmsr-379	36	8	system	system	NOUN
bjmsr-379	36	9	source	source	NOUN
bjmsr-379	36	10	:	:	PUNCT
bjmsr-379	36	11	adeniran	adeniran	NOUN
bjmsr-379	36	12	and	and	CCONJ
bjmsr-379	36	13	kanyio	kanyio	NOUN
bjmsr-379	36	14	(	(	PUNCT
bjmsr-379	36	15	2019	2019	NUM
bjmsr-379	36	16	)	)	PUNCT
bjmsr-379	36	17	copyright	copyright	NOUN
bjmsr-379	37	1	©	©	PROPN
bjmsr-379	37	2	cc	cc	PROPN
bjmsr-379	37	3	-	-	PUNCT
bjmsr-379	37	4	by	by	ADP
bjmsr-379	37	5	-	-	PUNCT
bjmsr-379	37	6	nc	nc	PROPN
bjmsr-379	37	7	2019	2019	NUM
bjmsr-379	37	8	,	,	PUNCT
bjmsr-379	37	9	bjmsr	bjmsr	PROPN
bjmsr-379	37	10	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-379	38	1	bangladesh	bangladesh	PROPN
bjmsr-379	38	2	journal	journal	PROPN
bjmsr-379	38	3	of	of	ADP
bjmsr-379	38	4	multidisciplinary	multidisciplinary	ADJ
bjmsr-379	38	5	scientific	scientific	ADJ
bjmsr-379	38	6	research	research	NOUN
bjmsr-379	38	7	vol	vol	NOUN
bjmsr-379	38	8	.	.	PROPN
bjmsr-379	38	9	1	1	NUM
bjmsr-379	38	10	,	,	PUNCT
bjmsr-379	38	11	no	no	INTJ
bjmsr-379	38	12	.	.	NOUN
bjmsr-379	38	13	2	2	NUM
bjmsr-379	38	14	;	;	PUNCT
bjmsr-379	38	15	2019	2019	NUM
bjmsr-379	38	16	48	48	NUM
bjmsr-379	38	17	in	in	ADP
bjmsr-379	38	18	single	single	ADJ
bjmsr-379	38	19	-	-	PUNCT
bjmsr-379	38	20	server	server	NOUN
bjmsr-379	38	21	queue	queue	NOUN
bjmsr-379	38	22	system	system	NOUN
bjmsr-379	38	23	,	,	PUNCT
bjmsr-379	38	24	arrival	arrival	NOUN
bjmsr-379	38	25	and	and	CCONJ
bjmsr-379	38	26	service	service	NOUN
bjmsr-379	38	27	processes	process	NOUN
bjmsr-379	38	28	are	be	AUX
bjmsr-379	38	29	poisson	poisson	NOUN
bjmsr-379	38	30	such	such	ADJ
bjmsr-379	38	31	that	that	SCONJ
bjmsr-379	38	32	a.	a.	NOUN
bjmsr-379	38	33	customers	customer	NOUN
bjmsr-379	38	34	arrive	arrive	VERB
bjmsr-379	38	35	at	at	ADP
bjmsr-379	38	36	an	an	DET
bjmsr-379	38	37	average	average	ADJ
bjmsr-379	38	38	rate	rate	NOUN
bjmsr-379	38	39	of	of	ADP
bjmsr-379	38	40	λ	λ	PROPN
bjmsr-379	38	41	per	per	ADP
bjmsr-379	38	42	unit	unit	NOUN
bjmsr-379	38	43	time	time	NOUN
bjmsr-379	38	44	;	;	PUNCT
bjmsr-379	38	45	b.	b.	PROPN
bjmsr-379	38	46	customers	customer	NOUN
bjmsr-379	38	47	are	be	AUX
bjmsr-379	38	48	serviced	service	VERB
bjmsr-379	38	49	at	at	ADP
bjmsr-379	38	50	an	an	DET
bjmsr-379	38	51	average	average	ADJ
bjmsr-379	38	52	rate	rate	NOUN
bjmsr-379	38	53	of	of	ADP
bjmsr-379	38	54	µ	µ	PRON
bjmsr-379	38	55	per	per	ADP
bjmsr-379	38	56	unit	unit	NOUN
bjmsr-379	38	57	time	time	NOUN
bjmsr-379	38	58	;	;	PUNCT
bjmsr-379	38	59	c.	c.	PROPN
bjmsr-379	38	60	interarrival	interarrival	PROPN
bjmsr-379	38	61	and	and	CCONJ
bjmsr-379	38	62	inter	inter	ADJ
bjmsr-379	38	63	-	-	ADJ
bjmsr-379	38	64	service	service	ADJ
bjmsr-379	38	65	time	time	NOUN
bjmsr-379	38	66	are	be	AUX
bjmsr-379	38	67	exponential	exponential	ADJ
bjmsr-379	38	68	and	and	CCONJ
bjmsr-379	38	69	independent	independent	ADJ
bjmsr-379	38	70	;	;	PUNCT
bjmsr-379	38	71	d.	d.	PROPN
bjmsr-379	38	72	hypothesis	hypothesis	NOUN
bjmsr-379	38	73	of	of	ADP
bjmsr-379	38	74	poisson	poisson	PROPN
bjmsr-379	38	75	arrivals	arrival	NOUN
bjmsr-379	38	76	is	be	AUX
bjmsr-379	38	77	reasonable	reasonable	ADJ
bjmsr-379	38	78	;	;	PUNCT
bjmsr-379	38	79	and	and	CCONJ
bjmsr-379	38	80	e.	e.	PROPN
bjmsr-379	38	81	hypothesis	hypothesis	NOUN
bjmsr-379	38	82	of	of	ADP
bjmsr-379	38	83	exponential	exponential	ADJ
bjmsr-379	38	84	service	service	NOUN
bjmsr-379	38	85	times	time	NOUN
bjmsr-379	38	86	are	be	AUX
bjmsr-379	38	87	not	not	PART
bjmsr-379	38	88	so	so	ADV
bjmsr-379	38	89	reasonable	reasonable	ADJ
bjmsr-379	38	90	(	(	PUNCT
bjmsr-379	38	91	adeniran	adeniran	NOUN
bjmsr-379	38	92	and	and	CCONJ
bjmsr-379	38	93	kanyio	kanyio	NOUN
bjmsr-379	38	94	,	,	PUNCT
bjmsr-379	38	95	2019	2019	NUM
bjmsr-379	38	96	)	)	PUNCT
bjmsr-379	38	97	in	in	ADP
bjmsr-379	38	98	order	order	NOUN
bjmsr-379	38	99	to	to	PART
bjmsr-379	38	100	explain	explain	VERB
bjmsr-379	38	101	how	how	SCONJ
bjmsr-379	38	102	the	the	DET
bjmsr-379	38	103	queuing	queue	VERB
bjmsr-379	38	104	system	system	NOUN
bjmsr-379	38	105	works	work	VERB
bjmsr-379	38	106	,	,	PUNCT
bjmsr-379	38	107	there	there	PRON
bjmsr-379	38	108	is	be	VERB
bjmsr-379	38	109	need	need	NOUN
bjmsr-379	38	110	to	to	PART
bjmsr-379	38	111	first	first	ADV
bjmsr-379	38	112	introduce	introduce	VERB
bjmsr-379	38	113	the	the	DET
bjmsr-379	38	114	poisson	poisson	NOUN
bjmsr-379	38	115	process	process	NOUN
bjmsr-379	38	116	(	(	PUNCT
bjmsr-379	38	117	pp	pp	ADJ
bjmsr-379	38	118	)	)	PUNCT
bjmsr-379	38	119	.	.	PUNCT
bjmsr-379	39	1	it	it	PRON
bjmsr-379	39	2	has	have	VERB
bjmsr-379	39	3	exceptional	exceptional	ADJ
bjmsr-379	39	4	properties	property	NOUN
bjmsr-379	39	5	and	and	CCONJ
bjmsr-379	39	6	is	be	AUX
bjmsr-379	39	7	a	a	DET
bjmsr-379	39	8	very	very	ADV
bjmsr-379	39	9	important	important	ADJ
bjmsr-379	39	10	process	process	NOUN
bjmsr-379	39	11	in	in	ADP
bjmsr-379	39	12	queuing	queue	VERB
bjmsr-379	39	13	theory	theory	NOUN
bjmsr-379	39	14	.	.	PUNCT
bjmsr-379	40	1	to	to	PART
bjmsr-379	40	2	simplify	simplify	VERB
bjmsr-379	40	3	the	the	DET
bjmsr-379	40	4	model	model	NOUN
bjmsr-379	40	5	,	,	PUNCT
bjmsr-379	40	6	we	we	PRON
bjmsr-379	40	7	often	often	ADV
bjmsr-379	40	8	assume	assume	VERB
bjmsr-379	40	9	customer	customer	NOUN
bjmsr-379	40	10	arrivals	arrival	NOUN
bjmsr-379	40	11	follow	follow	VERB
bjmsr-379	40	12	a	a	DET
bjmsr-379	40	13	pp	pp	NOUN
bjmsr-379	40	14	.	.	PUNCT
bjmsr-379	41	1	the	the	DET
bjmsr-379	41	2	laplace	laplace	NOUN
bjmsr-379	41	3	transform	transform	NOUN
bjmsr-379	41	4	(	(	PUNCT
bjmsr-379	41	5	lt	lt	NOUN
bjmsr-379	41	6	)	)	PUNCT
bjmsr-379	41	7	is	be	AUX
bjmsr-379	41	8	also	also	ADV
bjmsr-379	41	9	a	a	DET
bjmsr-379	41	10	very	very	ADV
bjmsr-379	41	11	powerful	powerful	ADJ
bjmsr-379	41	12	tool	tool	NOUN
bjmsr-379	41	13	that	that	PRON
bjmsr-379	41	14	was	be	AUX
bjmsr-379	41	15	adopted	adopt	VERB
bjmsr-379	41	16	in	in	ADP
bjmsr-379	41	17	the	the	DET
bjmsr-379	41	18	analysis	analysis	NOUN
bjmsr-379	41	19	(	(	PUNCT
bjmsr-379	41	20	trani	trani	NOUN
bjmsr-379	41	21	,	,	PUNCT
bjmsr-379	41	22	2011	2011	NUM
bjmsr-379	41	23	)	)	PUNCT
bjmsr-379	41	24	.	.	PUNCT
bjmsr-379	42	1	apart	apart	ADV
bjmsr-379	42	2	from	from	ADP
bjmsr-379	42	3	pp	pp	ADV
bjmsr-379	42	4	and	and	CCONJ
bjmsr-379	42	5	lt	lt	NOUN
bjmsr-379	42	6	,	,	PUNCT
bjmsr-379	42	7	there	there	PRON
bjmsr-379	42	8	is	be	VERB
bjmsr-379	42	9	focus	focus	NOUN
bjmsr-379	42	10	on	on	ADP
bjmsr-379	42	11	the	the	DET
bjmsr-379	42	12	queue	queue	NOUN
bjmsr-379	42	13	model	model	NOUN
bjmsr-379	42	14	itself	itself	PRON
bjmsr-379	42	15	(	(	PUNCT
bjmsr-379	42	16	adeniran	adeniran	NOUN
bjmsr-379	42	17	and	and	CCONJ
bjmsr-379	42	18	kanyio	kanyio	NOUN
bjmsr-379	42	19	,	,	PUNCT
bjmsr-379	42	20	2019	2019	NUM
bjmsr-379	42	21	)	)	PUNCT
bjmsr-379	42	22	.	.	PUNCT
bjmsr-379	43	1	2.2	2.2	NUM
bjmsr-379	43	2	modelling	modelling	NOUN
bjmsr-379	43	3	of	of	ADP
bjmsr-379	43	4	single	single	ADJ
bjmsr-379	43	5	queue	queue	NOUN
bjmsr-379	43	6	system	system	NOUN
bjmsr-379	43	7	2.2.1	2.2.1	NUM
bjmsr-379	43	8	queuing	queuing	NOUN
bjmsr-379	43	9	system	system	NOUN
bjmsr-379	43	10	from	from	ADP
bjmsr-379	43	11	poisson	poisson	NOUN
bjmsr-379	43	12	process	process	NOUN
bjmsr-379	43	13	and	and	CCONJ
bjmsr-379	43	14	“	"	PUNCT
bjmsr-379	43	15	pasta	pasta	NOUN
bjmsr-379	43	16	”	"	PUNCT
bjmsr-379	43	17	the	the	DET
bjmsr-379	43	18	poisson	poisson	NOUN
bjmsr-379	43	19	process	process	NOUN
bjmsr-379	43	20	(	(	PUNCT
bjmsr-379	43	21	pp	pp	ADJ
bjmsr-379	43	22	)	)	PUNCT
bjmsr-379	43	23	is	be	AUX
bjmsr-379	43	24	important	important	ADJ
bjmsr-379	43	25	in	in	ADP
bjmsr-379	43	26	queue	queue	NOUN
bjmsr-379	43	27	theory	theory	NOUN
bjmsr-379	43	28	due	due	ADP
bjmsr-379	43	29	to	to	ADP
bjmsr-379	43	30	its	its	PRON
bjmsr-379	43	31	outstanding	outstanding	ADJ
bjmsr-379	43	32	properties	property	NOUN
bjmsr-379	43	33	.	.	PUNCT
bjmsr-379	44	1	according	accord	VERB
bjmsr-379	44	2	to	to	ADP
bjmsr-379	44	3	adan	adan	PROPN
bjmsr-379	44	4	and	and	CCONJ
bjmsr-379	44	5	resing	resing	PROPN
bjmsr-379	44	6	(	(	PUNCT
bjmsr-379	44	7	2015	2015	NUM
bjmsr-379	44	8	)	)	PUNCT
bjmsr-379	44	9	,	,	PUNCT
bjmsr-379	44	10	queuing	queue	VERB
bjmsr-379	44	11	system	system	NOUN
bjmsr-379	44	12	is	be	AUX
bjmsr-379	44	13	achieved	achieve	VERB
bjmsr-379	44	14	as	as	ADP
bjmsr-379	44	15	“	"	PUNCT
bjmsr-379	44	16	let	let	VERB
bjmsr-379	44	17	n(t	n(t	PRON
bjmsr-379	44	18	)	)	PUNCT
bjmsr-379	44	19	be	be	AUX
bjmsr-379	44	20	the	the	DET
bjmsr-379	44	21	number	number	NOUN
bjmsr-379	44	22	of	of	ADP
bjmsr-379	44	23	arrivals	arrival	NOUN
bjmsr-379	44	24	in	in	ADP
bjmsr-379	44	25	[	[	X
bjmsr-379	44	26	0	0	NUM
bjmsr-379	44	27	,	,	PUNCT
bjmsr-379	44	28	t	t	PROPN
bjmsr-379	44	29	]	]	PUNCT
bjmsr-379	44	30	for	for	ADP
bjmsr-379	44	31	a	a	DET
bjmsr-379	44	32	pp	pp	NOUN
bjmsr-379	44	33	with	with	ADP
bjmsr-379	44	34	rate	rate	NOUN
bjmsr-379	44	35	λ	λ	PROPN
bjmsr-379	44	36	,	,	PUNCT
bjmsr-379	44	37	i.e.	i.e.	X
bjmsr-379	44	38	the	the	DET
bjmsr-379	44	39	time	time	NOUN
bjmsr-379	44	40	between	between	ADP
bjmsr-379	44	41	successive	successive	ADJ
bjmsr-379	44	42	arrivals	arrival	NOUN
bjmsr-379	44	43	is	be	AUX
bjmsr-379	44	44	exponentially	exponentially	ADV
bjmsr-379	44	45	distributed	distribute	VERB
bjmsr-379	44	46	with	with	ADP
bjmsr-379	44	47	parameter	parameter	NOUN
bjmsr-379	44	48	λ	λ	PROPN
bjmsr-379	44	49	and	and	CCONJ
bjmsr-379	44	50	independent	independent	ADJ
bjmsr-379	44	51	of	of	ADP
bjmsr-379	44	52	the	the	DET
bjmsr-379	44	53	past	past	NOUN
bjmsr-379	44	54	.	.	PUNCT
bjmsr-379	45	1	then	then	ADV
bjmsr-379	45	2	n(t	n(t	PROPN
bjmsr-379	45	3	)	)	PUNCT
bjmsr-379	45	4	has	have	VERB
bjmsr-379	45	5	a	a	DET
bjmsr-379	45	6	poisson	poisson	NOUN
bjmsr-379	45	7	distribution	distribution	NOUN
bjmsr-379	45	8	with	with	ADP
bjmsr-379	45	9	parameter	parameter	NOUN
bjmsr-379	45	10	λt	λt	ADP
bjmsr-379	45	11	.	.	PUNCT
bjmsr-379	46	1	this	this	PRON
bjmsr-379	46	2	is	be	AUX
bjmsr-379	46	3	culled	cull	VERB
bjmsr-379	46	4	from	from	ADP
bjmsr-379	46	5	adeniran	adeniran	NOUN
bjmsr-379	46	6	and	and	CCONJ
bjmsr-379	46	7	kanyio	kanyio	NOUN
bjmsr-379	46	8	(	(	PUNCT
bjmsr-379	46	9	2019	2019	NUM
bjmsr-379	46	10	)	)	PUNCT
bjmsr-379	46	11	.	.	PUNCT
bjmsr-379	47	1	p(n(t	p(n(t	NOUN
bjmsr-379	47	2	)	)	PUNCT
bjmsr-379	48	1	=	=	SYM
bjmsr-379	48	2	k	k	X
bjmsr-379	48	3	)	)	PUNCT
bjmsr-379	48	4	=	=	SYM
bjmsr-379	49	1	(	(	PUNCT
bjmsr-379	49	2	λt)k	λt)k	SYM
bjmsr-379	49	3	k	k	X
bjmsr-379	49	4	!	!	PUNCT
bjmsr-379	49	5	e−λt	e−λt	NOUN
bjmsr-379	49	6	,	,	PUNCT
bjmsr-379	49	7	for	for	ADP
bjmsr-379	49	8	k	k	PROPN
bjmsr-379	49	9	=	=	SYM
bjmsr-379	49	10	0	0	NUM
bjmsr-379	49	11	,	,	PUNCT
bjmsr-379	49	12	1	1	NUM
bjmsr-379	49	13	,	,	PUNCT
bjmsr-379	49	14	2	2	NUM
bjmsr-379	49	15	…	…	PUNCT
bjmsr-379	49	16	……	……	NOUN
bjmsr-379	49	17	……	……	NOUN
bjmsr-379	49	18	……	……	NOUN
bjmsr-379	49	19	equation	equation	NOUN
bjmsr-379	49	20	1	1	NUM
bjmsr-379	49	21	the	the	DET
bjmsr-379	49	22	mean	mean	NOUN
bjmsr-379	49	23	,	,	PUNCT
bjmsr-379	49	24	and	and	CCONJ
bjmsr-379	49	25	coefficient	coefficient	NOUN
bjmsr-379	49	26	of	of	ADP
bjmsr-379	49	27	variation	variation	NOUN
bjmsr-379	49	28	of	of	ADP
bjmsr-379	49	29	n(t	n(t	NOUN
bjmsr-379	49	30	)	)	PUNCT
bjmsr-379	49	31	are	be	AUX
bjmsr-379	49	32	mean	mean	ADJ
bjmsr-379	49	33	:	:	PUNCT
bjmsr-379	49	34	e(n(t	e(n(t	NOUN
bjmsr-379	49	35	)	)	PUNCT
bjmsr-379	49	36	)	)	PUNCT
bjmsr-379	50	1	=	=	PUNCT
bjmsr-379	51	1	λt	λt	ADP
bjmsr-379	51	2	;	;	PUNCT
bjmsr-379	51	3	coefficient	coefficient	NOUN
bjmsr-379	51	4	of	of	ADP
bjmsr-379	51	5	variation	variation	NOUN
bjmsr-379	51	6	:	:	PUNCT
bjmsr-379	51	7	c2n(t	c2n(t	PROPN
bjmsr-379	51	8	)	)	PUNCT
bjmsr-379	51	9	=	=	SYM
bjmsr-379	52	1	1	1	NUM
bjmsr-379	52	2	λt	λt	ADP
bjmsr-379	52	3	…	…	PUNCT
bjmsr-379	52	4	…	…	PUNCT
bjmsr-379	52	5	…	…	PUNCT
bjmsr-379	53	1	……	……	NOUN
bjmsr-379	53	2	……	……	NOUN
bjmsr-379	53	3	equation	equation	NOUN
bjmsr-379	53	4	2	2	NUM
bjmsr-379	53	5	by	by	ADP
bjmsr-379	53	6	the	the	DET
bjmsr-379	53	7	memoryless	memoryless	PROPN
bjmsr-379	53	8	property	property	NOUN
bjmsr-379	53	9	of	of	ADP
bjmsr-379	53	10	poisson	poisson	NOUN
bjmsr-379	53	11	distribution	distribution	NOUN
bjmsr-379	53	12	,	,	PUNCT
bjmsr-379	53	13	it	it	PRON
bjmsr-379	53	14	can	can	AUX
bjmsr-379	53	15	be	be	AUX
bjmsr-379	53	16	verified	verify	VERB
bjmsr-379	53	17	that	that	SCONJ
bjmsr-379	53	18	p(arrival	p(arrival	NOUN
bjmsr-379	53	19	in	in	ADP
bjmsr-379	53	20	(	(	PUNCT
bjmsr-379	53	21	t	t	PROPN
bjmsr-379	53	22	,	,	PUNCT
bjmsr-379	53	23	t	t	PROPN
bjmsr-379	53	24	+	+	CCONJ
bjmsr-379	53	25	∆t	∆t	PROPN
bjmsr-379	53	26	]	]	PUNCT
bjmsr-379	53	27	)	)	PUNCT
bjmsr-379	53	28	=	=	SYM
bjmsr-379	54	1	λ∆t	λ∆t	NOUN
bjmsr-379	55	1	+	+	CCONJ
bjmsr-379	55	2	0(∆t	0(∆t	NOUN
bjmsr-379	55	3	)	)	PUNCT
bjmsr-379	55	4	…	…	PUNCT
bjmsr-379	55	5	…	…	PUNCT
bjmsr-379	55	6	…	…	PUNCT
bjmsr-379	55	7	……	……	NOUN
bjmsr-379	55	8	……	……	NOUN
bjmsr-379	55	9	equation	equation	NOUN
bjmsr-379	55	10	3	3	NUM
bjmsr-379	55	11	hence	hence	ADV
bjmsr-379	55	12	,	,	PUNCT
bjmsr-379	55	13	when	when	SCONJ
bjmsr-379	55	14	∆t	∆t	PROPN
bjmsr-379	55	15	is	be	AUX
bjmsr-379	55	16	small	small	ADJ
bjmsr-379	55	17	,	,	PUNCT
bjmsr-379	55	18	p(arrival	p(arrival	NOUN
bjmsr-379	55	19	in	in	ADP
bjmsr-379	55	20	(	(	PUNCT
bjmsr-379	55	21	t	t	PROPN
bjmsr-379	55	22	,	,	PUNCT
bjmsr-379	55	23	t	t	PROPN
bjmsr-379	55	24	+	+	CCONJ
bjmsr-379	55	25	∆t	∆t	PROPN
bjmsr-379	55	26	)	)	PUNCT
bjmsr-379	55	27	)	)	PUNCT
bjmsr-379	56	1	≈	≈	PROPN
bjmsr-379	56	2	λ∆t	λ∆t	NOUN
bjmsr-379	56	3	…	…	PUNCT
bjmsr-379	56	4	…	…	PUNCT
bjmsr-379	56	5	…	…	PUNCT
bjmsr-379	56	6	……	……	NOUN
bjmsr-379	56	7	……	……	NOUN
bjmsr-379	56	8	equation	equation	NOUN
bjmsr-379	56	9	4	4	NUM
bjmsr-379	56	10	in	in	ADP
bjmsr-379	56	11	each	each	DET
bjmsr-379	56	12	small	small	ADJ
bjmsr-379	56	13	time	time	NOUN
bjmsr-379	56	14	interval	interval	NOUN
bjmsr-379	56	15	of	of	ADP
bjmsr-379	56	16	length	length	NOUN
bjmsr-379	56	17	∆t	∆t	PROPN
bjmsr-379	56	18	the	the	DET
bjmsr-379	56	19	occurrence	occurrence	NOUN
bjmsr-379	56	20	of	of	ADP
bjmsr-379	56	21	an	an	DET
bjmsr-379	56	22	arrival	arrival	NOUN
bjmsr-379	56	23	is	be	AUX
bjmsr-379	56	24	equally	equally	ADV
bjmsr-379	56	25	likely	likely	ADJ
bjmsr-379	56	26	.	.	PUNCT
bjmsr-379	57	1	in	in	ADP
bjmsr-379	57	2	other	other	ADJ
bjmsr-379	57	3	words	word	NOUN
bjmsr-379	57	4	,	,	PUNCT
bjmsr-379	57	5	poisson	poisson	NOUN
bjmsr-379	57	6	arrivals	arrival	NOUN
bjmsr-379	57	7	occur	occur	VERB
bjmsr-379	57	8	completely	completely	ADV
bjmsr-379	57	9	randomly	randomly	ADV
bjmsr-379	57	10	in	in	ADP
bjmsr-379	57	11	time	time	NOUN
bjmsr-379	57	12	.	.	PUNCT
bjmsr-379	58	1	the	the	DET
bjmsr-379	58	2	poisson	poisson	NOUN
bjmsr-379	58	3	process	process	NOUN
bjmsr-379	58	4	is	be	AUX
bjmsr-379	58	5	an	an	DET
bjmsr-379	58	6	extremely	extremely	ADV
bjmsr-379	58	7	useful	useful	ADJ
bjmsr-379	58	8	process	process	NOUN
bjmsr-379	58	9	for	for	ADP
bjmsr-379	58	10	modelling	model	VERB
bjmsr-379	58	11	purposes	purpose	NOUN
bjmsr-379	58	12	in	in	ADP
bjmsr-379	58	13	many	many	ADJ
bjmsr-379	58	14	practical	practical	ADJ
bjmsr-379	58	15	applications	application	NOUN
bjmsr-379	58	16	.	.	PUNCT
bjmsr-379	59	1	an	an	DET
bjmsr-379	59	2	important	important	ADJ
bjmsr-379	59	3	property	property	NOUN
bjmsr-379	59	4	of	of	ADP
bjmsr-379	59	5	the	the	DET
bjmsr-379	59	6	poisson	poisson	NOUN
bjmsr-379	59	7	process	process	NOUN
bjmsr-379	59	8	is	be	AUX
bjmsr-379	59	9	called	call	VERB
bjmsr-379	59	10	“	"	PUNCT
bjmsr-379	59	11	pasta	pasta	NOUN
bjmsr-379	59	12	”	"	PUNCT
bjmsr-379	59	13	(	(	PUNCT
bjmsr-379	59	14	poisson	poisson	NOUN
bjmsr-379	59	15	arrivals	arrival	NOUN
bjmsr-379	59	16	see	see	VERB
bjmsr-379	59	17	time	time	NOUN
bjmsr-379	59	18	averages	average	NOUN
bjmsr-379	59	19	)	)	PUNCT
bjmsr-379	59	20	.	.	PUNCT
bjmsr-379	60	1	pasta	pasta	NOUN
bjmsr-379	60	2	is	be	AUX
bjmsr-379	60	3	meant	mean	VERB
bjmsr-379	60	4	for	for	ADP
bjmsr-379	60	5	queuing	queue	VERB
bjmsr-379	60	6	systems	system	NOUN
bjmsr-379	60	7	with	with	ADP
bjmsr-379	60	8	poisson	poisson	PROPN
bjmsr-379	60	9	arrivals	arrival	NOUN
bjmsr-379	60	10	,	,	PUNCT
bjmsr-379	60	11	(	(	PUNCT
bjmsr-379	60	12	m/./.	m/./.	NOUN
bjmsr-379	60	13	systems	system	NOUN
bjmsr-379	60	14	)	)	PUNCT
bjmsr-379	60	15	,	,	PUNCT
bjmsr-379	60	16	arriving	arrive	VERB
bjmsr-379	60	17	vehicles	vehicle	NOUN
bjmsr-379	60	18	find	find	VERB
bjmsr-379	60	19	on	on	ADP
bjmsr-379	60	20	average	average	ADJ
bjmsr-379	60	21	the	the	DET
bjmsr-379	60	22	same	same	ADJ
bjmsr-379	60	23	situation	situation	NOUN
bjmsr-379	60	24	in	in	ADP
bjmsr-379	60	25	the	the	DET
bjmsr-379	60	26	queuing	queuing	NOUN
bjmsr-379	60	27	system	system	NOUN
bjmsr-379	60	28	as	as	ADP
bjmsr-379	60	29	an	an	DET
bjmsr-379	60	30	outside	outside	ADJ
bjmsr-379	60	31	observer	observer	NOUN
bjmsr-379	60	32	looking	look	VERB
bjmsr-379	60	33	at	at	ADP
bjmsr-379	60	34	the	the	DET
bjmsr-379	60	35	system	system	NOUN
bjmsr-379	60	36	at	at	ADP
bjmsr-379	60	37	an	an	DET
bjmsr-379	60	38	arbitrary	arbitrary	ADJ
bjmsr-379	60	39	point	point	NOUN
bjmsr-379	60	40	in	in	ADP
bjmsr-379	60	41	time	time	NOUN
bjmsr-379	60	42	.	.	PUNCT
bjmsr-379	61	1	more	more	ADV
bjmsr-379	61	2	precisely	precisely	ADV
bjmsr-379	61	3	,	,	PUNCT
bjmsr-379	61	4	the	the	DET
bjmsr-379	61	5	fraction	fraction	NOUN
bjmsr-379	61	6	of	of	ADP
bjmsr-379	61	7	vehicles	vehicle	NOUN
bjmsr-379	61	8	finding	find	VERB
bjmsr-379	61	9	on	on	ADP
bjmsr-379	61	10	arrival	arrival	NOUN
bjmsr-379	61	11	the	the	DET
bjmsr-379	61	12	system	system	NOUN
bjmsr-379	61	13	in	in	ADP
bjmsr-379	61	14	some	some	DET
bjmsr-379	61	15	state	state	NOUN
bjmsr-379	61	16	a	a	PRON
bjmsr-379	61	17	is	be	AUX
bjmsr-379	61	18	exactly	exactly	ADV
bjmsr-379	61	19	the	the	DET
bjmsr-379	61	20	same	same	ADJ
bjmsr-379	61	21	as	as	ADP
bjmsr-379	61	22	the	the	DET
bjmsr-379	61	23	fraction	fraction	NOUN
bjmsr-379	61	24	of	of	ADP
bjmsr-379	61	25	time	time	NOUN
bjmsr-379	61	26	the	the	DET
bjmsr-379	61	27	system	system	NOUN
bjmsr-379	61	28	is	be	AUX
bjmsr-379	61	29	in	in	ADP
bjmsr-379	61	30	state	state	NOUN
bjmsr-379	61	31	a.	a.	NOUN
bjmsr-379	61	32	2.2.2	2.2.2	NUM
bjmsr-379	61	33	laplace	laplace	NOUN
bjmsr-379	61	34	transform	transform	VERB
bjmsr-379	61	35	the	the	DET
bjmsr-379	61	36	laplace	laplace	NOUN
bjmsr-379	61	37	transform	transform	NOUN
bjmsr-379	61	38	lx(s	lx(s	NOUN
bjmsr-379	61	39	)	)	PUNCT
bjmsr-379	61	40	of	of	ADP
bjmsr-379	61	41	a	a	DET
bjmsr-379	61	42	nonnegative	nonnegative	ADJ
bjmsr-379	61	43	random	random	ADJ
bjmsr-379	61	44	variable	variable	NOUN
bjmsr-379	61	45	x	x	PUNCT
bjmsr-379	61	46	with	with	ADP
bjmsr-379	61	47	distribution	distribution	NOUN
bjmsr-379	61	48	function	function	NOUN
bjmsr-379	61	49	f(x	f(x	PROPN
bjmsr-379	61	50	)	)	PUNCT
bjmsr-379	61	51	is	be	AUX
bjmsr-379	61	52	define	define	VERB
bjmsr-379	61	53	as	as	ADP
bjmsr-379	61	54	:	:	PUNCT
bjmsr-379	61	55	lx(s	lx(s	X
bjmsr-379	61	56	)	)	PUNCT
bjmsr-379	61	57	=	=	SYM
bjmsr-379	61	58	e(e−sx	e(e−sx	NOUN
bjmsr-379	61	59	)	)	PUNCT
bjmsr-379	62	1	=	=	SYM
bjmsr-379	62	2	∫	∫	PROPN
bjmsr-379	62	3	e−sx∞	e−sx∞	PROPN
bjmsr-379	62	4	x=0	x=0	PROPN
bjmsr-379	63	1	f(x)dx	f(x)dx	NUM
bjmsr-379	63	2	…	…	PUNCT
bjmsr-379	63	3	…	…	PUNCT
bjmsr-379	63	4	…	…	PUNCT
bjmsr-379	63	5	……	……	NOUN
bjmsr-379	63	6	……	……	NOUN
bjmsr-379	63	7	equation	equation	NOUN
bjmsr-379	63	8	5	5	NUM
bjmsr-379	63	9	it	it	PRON
bjmsr-379	63	10	can	can	AUX
bjmsr-379	63	11	be	be	AUX
bjmsr-379	63	12	noted	note	VERB
bjmsr-379	63	13	that	that	SCONJ
bjmsr-379	63	14	lx(0	lx(0	PROPN
bjmsr-379	63	15	)	)	PUNCT
bjmsr-379	63	16	=	=	PUNCT
bjmsr-379	63	17	e(e−x	e(e−x	NOUN
bjmsr-379	63	18	.0	.0	NUM
bjmsr-379	63	19	)	)	PUNCT
bjmsr-379	64	1	=	=	SYM
bjmsr-379	64	2	e(1	e(1	X
bjmsr-379	64	3	)	)	PUNCT
bjmsr-379	64	4	=	=	SYM
bjmsr-379	64	5	1	1	NUM
bjmsr-379	64	6	…	…	SYM
bjmsr-379	64	7	…	…	PUNCT
bjmsr-379	64	8	…	…	PUNCT
bjmsr-379	64	9	……	……	NOUN
bjmsr-379	64	10	……	……	NOUN
bjmsr-379	64	11	equation	equation	NOUN
bjmsr-379	64	12	6	6	NUM
bjmsr-379	64	13	and	and	CCONJ
bjmsr-379	64	14	l1	l1	PROPN
bjmsr-379	64	15	x(0	x(0	PROPN
bjmsr-379	64	16	)	)	PUNCT
bjmsr-379	65	1	=	=	SYM
bjmsr-379	65	2	e((e−sx)1)|s=0	e((e−sx)1)|s=0	NOUN
bjmsr-379	65	3	=	=	SYM
bjmsr-379	65	4	e(−xe−sx)|s=0	e(−xe−sx)|s=0	PROPN
bjmsr-379	65	5	copyright	copyright	NOUN
bjmsr-379	65	6	©	©	PROPN
bjmsr-379	65	7	cc	cc	PROPN
bjmsr-379	65	8	-	-	PUNCT
bjmsr-379	65	9	by	by	ADP
bjmsr-379	65	10	-	-	PUNCT
bjmsr-379	65	11	nc	nc	PROPN
bjmsr-379	65	12	2019	2019	NUM
bjmsr-379	65	13	,	,	PUNCT
bjmsr-379	65	14	bjmsr	bjmsr	PROPN
bjmsr-379	65	15	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-379	65	16	bangladesh	bangladesh	PROPN
bjmsr-379	65	17	journal	journal	PROPN
bjmsr-379	65	18	of	of	ADP
bjmsr-379	65	19	multidisciplinary	multidisciplinary	ADJ
bjmsr-379	65	20	scientific	scientific	ADJ
bjmsr-379	65	21	research	research	NOUN
bjmsr-379	65	22	vol	vol	NOUN
bjmsr-379	65	23	.	.	PROPN
bjmsr-379	65	24	1	1	NUM
bjmsr-379	65	25	,	,	PUNCT
bjmsr-379	65	26	no	no	INTJ
bjmsr-379	65	27	.	.	NOUN
bjmsr-379	65	28	2	2	NUM
bjmsr-379	65	29	;	;	PUNCT
bjmsr-379	65	30	2019	2019	NUM
bjmsr-379	65	31	49	49	NUM
bjmsr-379	65	32	=	=	SYM
bjmsr-379	65	33	−e(x	−e(x	ADJ
bjmsr-379	65	34	)	)	PUNCT
bjmsr-379	65	35	…	…	PUNCT
bjmsr-379	65	36	…	…	PUNCT
bjmsr-379	65	37	…	…	PUNCT
bjmsr-379	65	38	……	……	NOUN
bjmsr-379	65	39	……	……	NOUN
bjmsr-379	65	40	equation	equation	NOUN
bjmsr-379	65	41	7	7	NUM
bjmsr-379	65	42	correspondingly	correspondingly	ADV
bjmsr-379	65	43	,	,	PUNCT
bjmsr-379	65	44	l	l	PROPN
bjmsr-379	65	45	(	(	PUNCT
bjmsr-379	65	46	k	k	NOUN
bjmsr-379	65	47	)	)	PUNCT
bjmsr-379	65	48	x	x	SYM
bjmsr-379	65	49	(	(	PUNCT
bjmsr-379	65	50	0	0	NUM
bjmsr-379	65	51	)	)	PUNCT
bjmsr-379	65	52	=	=	SYM
bjmsr-379	65	53	(	(	PUNCT
bjmsr-379	65	54	−1)ke(xk	−1)ke(xk	NOUN
bjmsr-379	65	55	)	)	PUNCT
bjmsr-379	65	56	…	…	PUNCT
bjmsr-379	65	57	…	…	PUNCT
bjmsr-379	65	58	…	…	PUNCT
bjmsr-379	65	59	……	……	NOUN
bjmsr-379	65	60	……	……	NOUN
bjmsr-379	65	61	equation	equation	NOUN
bjmsr-379	65	62	8	8	NUM
bjmsr-379	65	63	there	there	PRON
bjmsr-379	65	64	are	be	VERB
bjmsr-379	65	65	many	many	ADJ
bjmsr-379	65	66	useful	useful	ADJ
bjmsr-379	65	67	properties	property	NOUN
bjmsr-379	65	68	of	of	ADP
bjmsr-379	65	69	laplace	laplace	NOUN
bjmsr-379	65	70	transform	transform	NOUN
bjmsr-379	65	71	.	.	PUNCT
bjmsr-379	66	1	these	these	DET
bjmsr-379	66	2	properties	property	NOUN
bjmsr-379	66	3	can	can	AUX
bjmsr-379	66	4	make	make	VERB
bjmsr-379	66	5	calculations	calculation	NOUN
bjmsr-379	66	6	easier	easy	ADJ
bjmsr-379	66	7	when	when	SCONJ
bjmsr-379	66	8	dealing	deal	VERB
bjmsr-379	66	9	with	with	ADP
bjmsr-379	66	10	probability	probability	NOUN
bjmsr-379	66	11	.	.	PUNCT
bjmsr-379	67	1	for	for	ADP
bjmsr-379	67	2	instance	instance	NOUN
bjmsr-379	67	3	,	,	PUNCT
bjmsr-379	67	4	let	let	VERB
bjmsr-379	67	5	x	x	PRON
bjmsr-379	67	6	,	,	PUNCT
bjmsr-379	67	7	y	y	PROPN
bjmsr-379	67	8	,	,	PUNCT
bjmsr-379	67	9	z	z	X
bjmsr-379	67	10	be	be	VERB
bjmsr-379	67	11	three	three	NUM
bjmsr-379	67	12	random	random	ADJ
bjmsr-379	67	13	variables	variable	NOUN
bjmsr-379	67	14	with	with	ADP
bjmsr-379	67	15	z	z	NOUN
bjmsr-379	67	16	=	=	PUNCT
bjmsr-379	67	17	x	x	PUNCT
bjmsr-379	68	1	+	+	NOUN
bjmsr-379	68	2	y	y	PROPN
bjmsr-379	68	3	and	and	CCONJ
bjmsr-379	68	4	x	x	PROPN
bjmsr-379	68	5	,	,	PUNCT
bjmsr-379	68	6	y	y	PROPN
bjmsr-379	68	7	are	be	AUX
bjmsr-379	68	8	independent	independent	ADJ
bjmsr-379	68	9	.	.	PUNCT
bjmsr-379	69	1	then	then	ADV
bjmsr-379	69	2	the	the	DET
bjmsr-379	69	3	laplace	laplace	NOUN
bjmsr-379	69	4	transform	transform	NOUN
bjmsr-379	69	5	of	of	ADP
bjmsr-379	69	6	z	z	NOUN
bjmsr-379	69	7	can	can	AUX
bjmsr-379	69	8	be	be	AUX
bjmsr-379	69	9	found	find	VERB
bjmsr-379	69	10	as	as	ADP
bjmsr-379	69	11	:	:	PUNCT
bjmsr-379	69	12	lz(s	lz(s	NUM
bjmsr-379	69	13	)	)	PUNCT
bjmsr-379	69	14	=	=	SYM
bjmsr-379	69	15	lx(s	lx(s	X
bjmsr-379	69	16	)	)	PUNCT
bjmsr-379	69	17	·	·	PUNCT
bjmsr-379	70	1	ly	ly	X
bjmsr-379	70	2	(	(	PUNCT
bjmsr-379	70	3	s	s	NOUN
bjmsr-379	70	4	)	)	PUNCT
bjmsr-379	70	5	…	…	PUNCT
bjmsr-379	70	6	…	…	PUNCT
bjmsr-379	70	7	…	…	PUNCT
bjmsr-379	70	8	……	……	NOUN
bjmsr-379	70	9	……	……	NOUN
bjmsr-379	70	10	equation	equation	NOUN
bjmsr-379	70	11	9	9	NUM
bjmsr-379	70	12	moreover	moreover	ADV
bjmsr-379	70	13	,	,	PUNCT
bjmsr-379	70	14	when	when	SCONJ
bjmsr-379	70	15	z	z	NOUN
bjmsr-379	70	16	with	with	ADP
bjmsr-379	70	17	probability	probability	NOUN
bjmsr-379	70	18	p	p	NOUN
bjmsr-379	70	19	equals	equal	VERB
bjmsr-379	70	20	x	x	PRON
bjmsr-379	70	21	,	,	PUNCT
bjmsr-379	70	22	with	with	ADP
bjmsr-379	70	23	probability	probability	NOUN
bjmsr-379	70	24	1	1	NUM
bjmsr-379	70	25	−	−	PROPN
bjmsr-379	70	26	p	p	NOUN
bjmsr-379	70	27	equals	equal	VERB
bjmsr-379	70	28	y	y	PROPN
bjmsr-379	70	29	,	,	PUNCT
bjmsr-379	70	30	then	then	ADV
bjmsr-379	70	31	lz(s	lz(s	PUNCT
bjmsr-379	70	32	)	)	PUNCT
bjmsr-379	70	33	=	=	SYM
bjmsr-379	70	34	plx(s	plx(s	PROPN
bjmsr-379	70	35	)	)	PUNCT
bjmsr-379	70	36	+	+	CCONJ
bjmsr-379	70	37	(	(	PUNCT
bjmsr-379	70	38	1	1	NUM
bjmsr-379	70	39	−	−	PROPN
bjmsr-379	70	40	p)ly	p)ly	PROPN
bjmsr-379	70	41	(	(	PUNCT
bjmsr-379	70	42	s	s	NOUN
bjmsr-379	70	43	)	)	PUNCT
bjmsr-379	70	44	…	…	PUNCT
bjmsr-379	70	45	…	…	PUNCT
bjmsr-379	70	46	…	…	PUNCT
bjmsr-379	70	47	……	……	NOUN
bjmsr-379	70	48	……	……	NOUN
bjmsr-379	70	49	equation	equation	NOUN
bjmsr-379	70	50	10	10	NUM
bjmsr-379	70	51	laplace	laplace	NOUN
bjmsr-379	70	52	transforms	transform	VERB
bjmsr-379	70	53	of	of	ADP
bjmsr-379	70	54	some	some	DET
bjmsr-379	70	55	useful	useful	ADJ
bjmsr-379	70	56	distributions	distribution	NOUN
bjmsr-379	70	57	can	can	AUX
bjmsr-379	70	58	now	now	ADV
bjmsr-379	70	59	be	be	AUX
bjmsr-379	70	60	introduced	introduce	VERB
bjmsr-379	70	61	.	.	PUNCT
bjmsr-379	71	1	a.	a.	NOUN
bjmsr-379	71	2	suppose	suppose	VERB
bjmsr-379	71	3	x	x	PRON
bjmsr-379	71	4	is	be	AUX
bjmsr-379	71	5	a	a	DET
bjmsr-379	71	6	random	random	ADJ
bjmsr-379	71	7	variable	variable	NOUN
bjmsr-379	71	8	which	which	PRON
bjmsr-379	71	9	follows	follow	VERB
bjmsr-379	71	10	an	an	DET
bjmsr-379	71	11	exponential	exponential	ADJ
bjmsr-379	71	12	distribution	distribution	NOUN
bjmsr-379	71	13	with	with	ADP
bjmsr-379	71	14	rate	rate	NOUN
bjmsr-379	71	15	λ	λ	PROPN
bjmsr-379	71	16	.	.	PUNCT
bjmsr-379	72	1	the	the	DET
bjmsr-379	72	2	laplace	laplace	NOUN
bjmsr-379	72	3	transform	transform	NOUN
bjmsr-379	72	4	of	of	ADP
bjmsr-379	72	5	x	x	PUNCT
bjmsr-379	72	6	is	be	AUX
bjmsr-379	72	7	lx(s	lx(s	X
bjmsr-379	72	8	)	)	PUNCT
bjmsr-379	73	1	=	=	SYM
bjmsr-379	73	2	(	(	PUNCT
bjmsr-379	73	3	λ	λ	NOUN
bjmsr-379	73	4	)	)	PUNCT
bjmsr-379	73	5	λ	λ	PROPN
bjmsr-379	73	6	+	+	SYM
bjmsr-379	73	7	s	s	PART
bjmsr-379	73	8	…	…	PUNCT
bjmsr-379	73	9	…	…	PUNCT
bjmsr-379	73	10	…	…	PUNCT
bjmsr-379	73	11	……	……	NOUN
bjmsr-379	73	12	……	……	NOUN
bjmsr-379	73	13	equation	equation	NOUN
bjmsr-379	73	14	11	11	NUM
bjmsr-379	73	15	b.	b.	NOUN
bjmsr-379	73	16	suppose	suppose	VERB
bjmsr-379	73	17	x	x	PRON
bjmsr-379	73	18	is	be	AUX
bjmsr-379	73	19	a	a	DET
bjmsr-379	73	20	random	random	ADJ
bjmsr-379	73	21	variable	variable	NOUN
bjmsr-379	73	22	which	which	PRON
bjmsr-379	73	23	follows	follow	VERB
bjmsr-379	73	24	an	an	DET
bjmsr-379	73	25	erlang	erlang	NOUN
bjmsr-379	73	26	−	−	NOUN
bjmsr-379	73	27	r	r	NOUN
bjmsr-379	73	28	distribution	distribution	NOUN
bjmsr-379	73	29	with	with	ADP
bjmsr-379	73	30	rate	rate	NOUN
bjmsr-379	73	31	λ	λ	PROPN
bjmsr-379	73	32	.	.	PUNCT
bjmsr-379	74	1	then	then	ADV
bjmsr-379	74	2	x	x	PRON
bjmsr-379	74	3	can	can	AUX
bjmsr-379	74	4	be	be	AUX
bjmsr-379	74	5	written	write	VERB
bjmsr-379	74	6	as	as	ADP
bjmsr-379	74	7	:	:	PUNCT
bjmsr-379	74	8	x	x	PUNCT
bjmsr-379	75	1	=	=	SYM
bjmsr-379	75	2	x1	x1	PROPN
bjmsr-379	76	1	+	+	NUM
bjmsr-379	76	2	x2	x2	PROPN
bjmsr-379	76	3	+	+	CCONJ
bjmsr-379	76	4	·	·	PUNCT
bjmsr-379	76	5	·	·	PUNCT
bjmsr-379	76	6	·	·	PUNCT
bjmsr-379	77	1	+	+	NUM
bjmsr-379	77	2	xr	xr	PROPN
bjmsr-379	77	3	…	…	PUNCT
bjmsr-379	77	4	…	…	PUNCT
bjmsr-379	77	5	…	…	PUNCT
bjmsr-379	77	6	……	……	NOUN
bjmsr-379	77	7	……	……	NOUN
bjmsr-379	77	8	equation	equation	NOUN
bjmsr-379	77	9	12	12	NUM
bjmsr-379	77	10	where	where	SCONJ
bjmsr-379	77	11	xi	xi	PROPN
bjmsr-379	77	12	are	be	AUX
bjmsr-379	77	13	i.i.d	i.i.d	ADJ
bjmsr-379	77	14	.	.	PUNCT
bjmsr-379	77	15	exponential	exponential	PROPN
bjmsr-379	77	16	with	with	ADP
bjmsr-379	77	17	rate	rate	NOUN
bjmsr-379	77	18	λ	λ	PROPN
bjmsr-379	77	19	.	.	PUNCT
bjmsr-379	77	20	therefore	therefore	ADV
bjmsr-379	77	21	,	,	PUNCT
bjmsr-379	77	22	we	we	PRON
bjmsr-379	77	23	have	have	VERB
bjmsr-379	77	24	lx(s	lx(s	X
bjmsr-379	77	25	)	)	PUNCT
bjmsr-379	77	26	=	=	SYM
bjmsr-379	77	27	lx1(s	lx1(s	X
bjmsr-379	77	28	)	)	PUNCT
bjmsr-379	77	29	·	·	PUNCT
bjmsr-379	77	30	lx2(s	lx2(s	NOUN
bjmsr-379	77	31	)	)	PUNCT
bjmsr-379	77	32	…	…	PUNCT
bjmsr-379	77	33	lxr(s	lxr(s	PROPN
bjmsr-379	77	34	)	)	PUNCT
bjmsr-379	77	35	=	=	PUNCT
bjmsr-379	78	1	(	(	PUNCT
bjmsr-379	78	2	λ	λ	X
bjmsr-379	78	3	λ	λ	X
bjmsr-379	78	4	+	+	SYM
bjmsr-379	78	5	s	s	PART
bjmsr-379	78	6	)	)	PUNCT
bjmsr-379	78	7	n	n	NOUN
bjmsr-379	78	8	…	…	PUNCT
bjmsr-379	78	9	…	…	PUNCT
bjmsr-379	78	10	…	…	PUNCT
bjmsr-379	78	11	……	……	NOUN
bjmsr-379	78	12	……	……	NOUN
bjmsr-379	78	13	equation	equation	NOUN
bjmsr-379	78	14	13	13	NUM
bjmsr-379	78	15	c.	c.	NOUN
bjmsr-379	78	16	suppose	suppose	VERB
bjmsr-379	78	17	x	x	PRON
bjmsr-379	78	18	is	be	AUX
bjmsr-379	78	19	a	a	DET
bjmsr-379	78	20	constant	constant	ADJ
bjmsr-379	78	21	real	real	ADJ
bjmsr-379	78	22	number	number	NOUN
bjmsr-379	78	23	c	c	NOUN
bjmsr-379	78	24	,	,	PUNCT
bjmsr-379	78	25	then	then	ADV
bjmsr-379	78	26	lx(s	lx(s	X
bjmsr-379	78	27	)	)	PUNCT
bjmsr-379	78	28	=	=	SYM
bjmsr-379	78	29	e(e−sx	e(e−sx	NOUN
bjmsr-379	78	30	)	)	PUNCT
bjmsr-379	78	31	=	=	SYM
bjmsr-379	78	32	e(e−sc	e(e−sc	NOUN
bjmsr-379	78	33	)	)	PUNCT
bjmsr-379	78	34	=	=	SYM
bjmsr-379	78	35	e−sc	e−sc	PROPN
bjmsr-379	78	36	…	…	PUNCT
bjmsr-379	78	37	…	…	PUNCT
bjmsr-379	78	38	…	…	PUNCT
bjmsr-379	78	39	……	……	NOUN
bjmsr-379	78	40	……	……	NOUN
bjmsr-379	78	41	equation	equation	NOUN
bjmsr-379	78	42	14	14	NUM
bjmsr-379	78	43	(	(	PUNCT
bjmsr-379	78	44	culled	cull	VERB
bjmsr-379	78	45	from	from	ADP
bjmsr-379	78	46	adeniran	adeniran	NOUN
bjmsr-379	78	47	and	and	CCONJ
bjmsr-379	78	48	kanyio	kanyio	NOUN
bjmsr-379	78	49	,	,	PUNCT
bjmsr-379	78	50	2019	2019	NUM
bjmsr-379	78	51	)	)	PUNCT
bjmsr-379	78	52	2.2.3	2.2.3	NUM
bjmsr-379	78	53	basic	basic	ADJ
bjmsr-379	78	54	queuing	queuing	NOUN
bjmsr-379	78	55	systems	system	NOUN
bjmsr-379	78	56	kendall	kendall	PROPN
bjmsr-379	78	57	’s	’s	PART
bjmsr-379	78	58	notation	notation	NOUN
bjmsr-379	78	59	shall	shall	AUX
bjmsr-379	78	60	be	be	AUX
bjmsr-379	78	61	used	use	VERB
bjmsr-379	78	62	to	to	PART
bjmsr-379	78	63	describe	describe	VERB
bjmsr-379	78	64	a	a	DET
bjmsr-379	78	65	queuing	queue	VERB
bjmsr-379	78	66	system	system	NOUN
bjmsr-379	78	67	as	as	SCONJ
bjmsr-379	78	68	denoted	denote	VERB
bjmsr-379	78	69	by	by	ADP
bjmsr-379	78	70	:	:	PUNCT
bjmsr-379	78	71	a	a	PROPN
bjmsr-379	78	72	/	/	SYM
bjmsr-379	78	73	b	b	NOUN
bjmsr-379	78	74	/	/	SYM
bjmsr-379	78	75	m	m	NOUN
bjmsr-379	78	76	/	/	SYM
bjmsr-379	78	77	k	k	NOUN
bjmsr-379	78	78	/	/	SYM
bjmsr-379	78	79	n	n	CCONJ
bjmsr-379	78	80	/	/	SYM
bjmsr-379	78	81	d	d	NOUN
bjmsr-379	78	82	…	…	PUNCT
bjmsr-379	78	83	…	…	PUNCT
bjmsr-379	78	84	…	…	PUNCT
bjmsr-379	78	85	……	……	NOUN
bjmsr-379	78	86	……	……	NOUN
bjmsr-379	78	87	.	.	PUNCT
bjmsr-379	79	1	equation	equation	NOUN
bjmsr-379	79	2	15	15	NUM
bjmsr-379	79	3	(	(	PUNCT
bjmsr-379	79	4	adan	adan	PROPN
bjmsr-379	79	5	and	and	CCONJ
bjmsr-379	79	6	resing	resing	PROPN
bjmsr-379	79	7	,	,	PUNCT
bjmsr-379	79	8	2016	2016	NUM
bjmsr-379	79	9	)	)	PUNCT
bjmsr-379	79	10	where	where	SCONJ
bjmsr-379	79	11	a	a	DET
bjmsr-379	79	12	:	:	PUNCT
bjmsr-379	79	13	distribution	distribution	NOUN
bjmsr-379	79	14	of	of	ADP
bjmsr-379	79	15	the	the	DET
bjmsr-379	79	16	interarrival	interarrival	PROPN
bjmsr-379	79	17	times	times	PROPN
bjmsr-379	79	18	b	b	PROPN
bjmsr-379	79	19	:	:	PUNCT
bjmsr-379	79	20	distribution	distribution	NOUN
bjmsr-379	79	21	of	of	ADP
bjmsr-379	79	22	the	the	DET
bjmsr-379	79	23	service	service	NOUN
bjmsr-379	79	24	times	times	PROPN
bjmsr-379	79	25	m	m	PROPN
bjmsr-379	79	26	:	:	PUNCT
bjmsr-379	79	27	number	number	NOUN
bjmsr-379	79	28	of	of	ADP
bjmsr-379	79	29	servers	server	NOUN
bjmsr-379	79	30	k	k	NOUN
bjmsr-379	79	31	:	:	PUNCT
bjmsr-379	79	32	capacity	capacity	NOUN
bjmsr-379	79	33	of	of	ADP
bjmsr-379	79	34	the	the	DET
bjmsr-379	79	35	system	system	NOUN
bjmsr-379	79	36	,	,	PUNCT
bjmsr-379	79	37	the	the	DET
bjmsr-379	79	38	maximum	maximum	ADJ
bjmsr-379	79	39	number	number	NOUN
bjmsr-379	79	40	of	of	ADP
bjmsr-379	79	41	passengers	passenger	NOUN
bjmsr-379	79	42	in	in	ADP
bjmsr-379	79	43	the	the	DET
bjmsr-379	79	44	system	system	NOUN
bjmsr-379	79	45	including	include	VERB
bjmsr-379	79	46	the	the	DET
bjmsr-379	79	47	one	one	NOUN
bjmsr-379	79	48	being	be	AUX
bjmsr-379	79	49	serviced	service	VERB
bjmsr-379	79	50	n	n	NUM
bjmsr-379	79	51	:	:	PUNCT
bjmsr-379	79	52	population	population	NOUN
bjmsr-379	79	53	size	size	NOUN
bjmsr-379	79	54	of	of	ADP
bjmsr-379	79	55	sources	source	NOUN
bjmsr-379	79	56	of	of	ADP
bjmsr-379	79	57	passengers	passenger	NOUN
bjmsr-379	79	58	d	d	NOUN
bjmsr-379	79	59	:	:	PUNCT
bjmsr-379	79	60	service	service	NOUN
bjmsr-379	79	61	discipline	discipline	NOUN
bjmsr-379	79	62	g	g	PROPN
bjmsr-379	79	63	shall	shall	AUX
bjmsr-379	79	64	be	be	AUX
bjmsr-379	79	65	used	use	VERB
bjmsr-379	79	66	to	to	PART
bjmsr-379	79	67	denote	denote	VERB
bjmsr-379	79	68	general	general	ADJ
bjmsr-379	79	69	distribution	distribution	NOUN
bjmsr-379	79	70	,	,	PUNCT
bjmsr-379	79	71	m	m	AUX
bjmsr-379	79	72	used	use	VERB
bjmsr-379	79	73	for	for	ADP
bjmsr-379	79	74	exponential	exponential	ADJ
bjmsr-379	79	75	distribution	distribution	NOUN
bjmsr-379	79	76	(	(	PUNCT
bjmsr-379	79	77	m	m	VERB
bjmsr-379	79	78	stands	stand	VERB
bjmsr-379	79	79	for	for	ADP
bjmsr-379	79	80	memoryless	memoryless	NOUN
bjmsr-379	79	81	)	)	PUNCT
bjmsr-379	79	82	,	,	PUNCT
bjmsr-379	79	83	d	d	X
bjmsr-379	79	84	be	be	AUX
bjmsr-379	79	85	used	use	VERB
bjmsr-379	79	86	for	for	ADP
bjmsr-379	79	87	deterministic	deterministic	ADJ
bjmsr-379	79	88	times	time	NOUN
bjmsr-379	79	89	(	(	PUNCT
bjmsr-379	79	90	sztrik	sztrik	PROPN
bjmsr-379	79	91	,	,	PUNCT
bjmsr-379	79	92	2016	2016	NUM
bjmsr-379	79	93	)	)	PUNCT
bjmsr-379	79	94	.	.	PUNCT
bjmsr-379	80	1	a	a	X
bjmsr-379	80	2	/	/	SYM
bjmsr-379	80	3	b	b	NOUN
bjmsr-379	80	4	/	/	SYM
bjmsr-379	80	5	m	m	VERB
bjmsr-379	80	6	is	be	AUX
bjmsr-379	80	7	also	also	ADV
bjmsr-379	80	8	used	use	VERB
bjmsr-379	80	9	to	to	PART
bjmsr-379	80	10	describe	describe	VERB
bjmsr-379	80	11	a	a	DET
bjmsr-379	80	12	queuing	queue	VERB
bjmsr-379	80	13	system	system	NOUN
bjmsr-379	80	14	,	,	PUNCT
bjmsr-379	80	15	where	where	SCONJ
bjmsr-379	80	16	:	:	PUNCT
bjmsr-379	80	17	a	a	PRON
bjmsr-379	80	18	stands	stand	VERB
bjmsr-379	80	19	for	for	ADP
bjmsr-379	80	20	distribution	distribution	NOUN
bjmsr-379	80	21	of	of	ADP
bjmsr-379	80	22	interarrival	interarrival	PROPN
bjmsr-379	80	23	times	times	PROPN
bjmsr-379	80	24	,	,	PUNCT
bjmsr-379	80	25	b	b	PROPN
bjmsr-379	80	26	stands	stand	VERB
bjmsr-379	80	27	for	for	ADP
bjmsr-379	80	28	distribution	distribution	NOUN
bjmsr-379	80	29	of	of	ADP
bjmsr-379	80	30	service	service	NOUN
bjmsr-379	80	31	times	time	NOUN
bjmsr-379	80	32	and	and	CCONJ
bjmsr-379	80	33	m	m	PROPN
bjmsr-379	80	34	stands	stand	VERB
bjmsr-379	80	35	for	for	ADP
bjmsr-379	80	36	number	number	NOUN
bjmsr-379	80	37	of	of	ADP
bjmsr-379	80	38	servers	server	NOUN
bjmsr-379	80	39	.	.	PUNCT
bjmsr-379	81	1	hence	hence	ADV
bjmsr-379	81	2	m	m	PROPN
bjmsr-379	81	3	/	/	SYM
bjmsr-379	81	4	m/1	m/1	NOUN
bjmsr-379	81	5	denotes	denote	VERB
bjmsr-379	81	6	a	a	DET
bjmsr-379	81	7	system	system	NOUN
bjmsr-379	81	8	with	with	ADP
bjmsr-379	81	9	poisson	poisson	PROPN
bjmsr-379	81	10	arrivals	arrival	NOUN
bjmsr-379	81	11	,	,	PUNCT
bjmsr-379	81	12	exponentially	exponentially	ADV
bjmsr-379	81	13	distributed	distribute	VERB
bjmsr-379	81	14	service	service	NOUN
bjmsr-379	81	15	times	time	NOUN
bjmsr-379	81	16	and	and	CCONJ
bjmsr-379	81	17	a	a	DET
bjmsr-379	81	18	single	single	ADJ
bjmsr-379	81	19	server	server	NOUN
bjmsr-379	81	20	.	.	PUNCT
bjmsr-379	82	1	m	m	PROPN
bjmsr-379	82	2	/	/	SYM
bjmsr-379	82	3	g	g	PROPN
bjmsr-379	82	4	/	/	SYM
bjmsr-379	82	5	m	m	PROPN
bjmsr-379	82	6	denotes	denote	VERB
bjmsr-379	82	7	an	an	DET
bjmsr-379	82	8	mserver	mserver	NOUN
bjmsr-379	82	9	system	system	NOUN
bjmsr-379	82	10	with	with	ADP
bjmsr-379	82	11	poisson	poisson	PROPN
bjmsr-379	82	12	arrivals	arrival	NOUN
bjmsr-379	82	13	and	and	CCONJ
bjmsr-379	82	14	generally	generally	ADV
bjmsr-379	82	15	distributed	distribute	VERB
bjmsr-379	82	16	service	service	NOUN
bjmsr-379	82	17	times	time	NOUN
bjmsr-379	82	18	,	,	PUNCT
bjmsr-379	82	19	and	and	CCONJ
bjmsr-379	82	20	so	so	ADV
bjmsr-379	82	21	on	on	ADV
bjmsr-379	82	22	.	.	PUNCT
bjmsr-379	83	1	in	in	ADP
bjmsr-379	83	2	this	this	DET
bjmsr-379	83	3	section	section	NOUN
bjmsr-379	83	4	,	,	PUNCT
bjmsr-379	83	5	the	the	DET
bjmsr-379	83	6	basic	basic	ADJ
bjmsr-379	83	7	queuing	queuing	NOUN
bjmsr-379	83	8	models	model	NOUN
bjmsr-379	83	9	(	(	PUNCT
bjmsr-379	83	10	m	m	NOUN
bjmsr-379	83	11	/	/	SYM
bjmsr-379	83	12	m/1	m/1	NOUN
bjmsr-379	83	13	system	system	NOUN
bjmsr-379	83	14	)	)	PUNCT
bjmsr-379	83	15	,	,	PUNCT
bjmsr-379	83	16	which	which	PRON
bjmsr-379	83	17	is	be	AUX
bjmsr-379	83	18	a	a	DET
bjmsr-379	83	19	system	system	NOUN
bjmsr-379	83	20	with	with	ADP
bjmsr-379	83	21	poisson	poisson	PROPN
bjmsr-379	83	22	arrivals	arrival	NOUN
bjmsr-379	83	23	,	,	PUNCT
bjmsr-379	83	24	exponentially	exponentially	ADV
bjmsr-379	83	25	distributed	distribute	VERB
bjmsr-379	83	26	service	service	NOUN
bjmsr-379	83	27	times	time	NOUN
bjmsr-379	83	28	and	and	CCONJ
bjmsr-379	83	29	a	a	DET
bjmsr-379	83	30	single	single	ADJ
bjmsr-379	83	31	server	server	NOUN
bjmsr-379	83	32	.	.	PUNCT
bjmsr-379	84	1	the	the	DET
bjmsr-379	84	2	following	follow	VERB
bjmsr-379	84	3	part	part	NOUN
bjmsr-379	84	4	is	be	AUX
bjmsr-379	84	5	retrieved	retrieve	VERB
bjmsr-379	84	6	from	from	ADP
bjmsr-379	84	7	queuing	queue	VERB
bjmsr-379	84	8	systems	system	NOUN
bjmsr-379	84	9	(	(	PUNCT
bjmsr-379	84	10	adan	adan	PROPN
bjmsr-379	84	11	and	and	CCONJ
bjmsr-379	84	12	resing	resing	PROPN
bjmsr-379	84	13	,	,	PUNCT
bjmsr-379	84	14	2016	2016	NUM
bjmsr-379	84	15	)	)	PUNCT
bjmsr-379	84	16	.	.	PUNCT
bjmsr-379	85	1	firstly	firstly	ADV
bjmsr-379	85	2	,	,	PUNCT
bjmsr-379	85	3	it	it	PRON
bjmsr-379	85	4	is	be	AUX
bjmsr-379	85	5	assumed	assume	VERB
bjmsr-379	85	6	that	that	SCONJ
bjmsr-379	85	7	inter	inter	NOUN
bjmsr-379	85	8	-	-	NOUN
bjmsr-379	85	9	arrivals	arrival	NOUN
bjmsr-379	85	10	follows	follow	VERB
bjmsr-379	85	11	an	an	DET
bjmsr-379	85	12	exponential	exponential	ADJ
bjmsr-379	85	13	distribution	distribution	NOUN
bjmsr-379	85	14	with	with	ADP
bjmsr-379	85	15	rate	rate	NOUN
bjmsr-379	85	16	λ	λ	PROPN
bjmsr-379	85	17	,	,	PUNCT
bjmsr-379	85	18	and	and	CCONJ
bjmsr-379	85	19	service	service	NOUN
bjmsr-379	85	20	time	time	NOUN
bjmsr-379	85	21	follows	follow	VERB
bjmsr-379	85	22	the	the	DET
bjmsr-379	85	23	exponential	exponential	ADJ
bjmsr-379	85	24	distribution	distribution	NOUN
bjmsr-379	85	25	with	with	ADP
bjmsr-379	85	26	rate	rate	NOUN
bjmsr-379	85	27	µ.	µ.	NOUN
bjmsr-379	85	28	further	far	ADV
bjmsr-379	85	29	,	,	PUNCT
bjmsr-379	85	30	in	in	ADP
bjmsr-379	85	31	the	the	DET
bjmsr-379	85	32	single	single	ADJ
bjmsr-379	85	33	service	service	NOUN
bjmsr-379	85	34	model	model	NOUN
bjmsr-379	85	35	,	,	PUNCT
bjmsr-379	85	36	to	to	PART
bjmsr-379	85	37	avoid	avoid	VERB
bjmsr-379	85	38	queue	queue	NOUN
bjmsr-379	85	39	length	length	NOUN
bjmsr-379	85	40	instability	instability	NOUN
bjmsr-379	85	41	,	,	PUNCT
bjmsr-379	85	42	it	it	PRON
bjmsr-379	85	43	is	be	AUX
bjmsr-379	85	44	assume	assume	VERB
bjmsr-379	85	45	that	that	SCONJ
bjmsr-379	85	46	:	:	PUNCT
bjmsr-379	85	47	according	accord	VERB
bjmsr-379	85	48	to	to	ADP
bjmsr-379	85	49	adanikin	adanikin	PROPN
bjmsr-379	85	50	,	,	PUNCT
bjmsr-379	85	51	olutaiwo	olutaiwo	NOUN
bjmsr-379	85	52	and	and	CCONJ
bjmsr-379	85	53	obafemi	obafemi	ADV
bjmsr-379	85	54	(	(	PUNCT
bjmsr-379	85	55	2017	2017	NUM
bjmsr-379	85	56	)	)	PUNCT
bjmsr-379	85	57	,	,	PUNCT
bjmsr-379	85	58	copyright	copyright	NOUN
bjmsr-379	85	59	©	©	PROPN
bjmsr-379	85	60	cc	cc	PROPN
bjmsr-379	85	61	-	-	PUNCT
bjmsr-379	85	62	by	by	ADP
bjmsr-379	85	63	-	-	PUNCT
bjmsr-379	85	64	nc	nc	PROPN
bjmsr-379	85	65	2019	2019	NUM
bjmsr-379	85	66	,	,	PUNCT
bjmsr-379	85	67	bjmsr	bjmsr	PROPN
bjmsr-379	85	68	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-379	85	69	bangladesh	bangladesh	PROPN
bjmsr-379	85	70	journal	journal	PROPN
bjmsr-379	85	71	of	of	ADP
bjmsr-379	85	72	multidisciplinary	multidisciplinary	ADJ
bjmsr-379	85	73	scientific	scientific	ADJ
bjmsr-379	85	74	research	research	NOUN
bjmsr-379	85	75	vol	vol	NOUN
bjmsr-379	85	76	.	.	PROPN
bjmsr-379	85	77	1	1	NUM
bjmsr-379	85	78	,	,	PUNCT
bjmsr-379	85	79	no	no	INTJ
bjmsr-379	85	80	.	.	NOUN
bjmsr-379	85	81	2	2	NUM
bjmsr-379	85	82	;	;	PUNCT
bjmsr-379	85	83	2019	2019	NUM
bjmsr-379	85	84	50	50	NUM
bjmsr-379	85	85	utilization	utilization	NOUN
bjmsr-379	85	86	(	(	PUNCT
bjmsr-379	85	87	r	r	NOUN
bjmsr-379	85	88	)	)	PUNCT
bjmsr-379	85	89	=	=	SYM
bjmsr-379	85	90	average	average	ADJ
bjmsr-379	85	91	arrival	arrival	NOUN
bjmsr-379	85	92	rate	rate	NOUN
bjmsr-379	85	93	(	(	PUNCT
bjmsr-379	85	94	λ	λ	NOUN
bjmsr-379	85	95	)	)	PUNCT
bjmsr-379	85	96	average	average	ADJ
bjmsr-379	85	97	service	service	NOUN
bjmsr-379	85	98	rate	rate	NOUN
bjmsr-379	85	99	(	(	PUNCT
bjmsr-379	85	100	μ	μ	NOUN
bjmsr-379	85	101	)	)	PUNCT
bjmsr-379	85	102	<	<	X
bjmsr-379	85	103	1	1	NUM
bjmsr-379	85	104	…	…	SYM
bjmsr-379	85	105	…	…	PUNCT
bjmsr-379	85	106	…	…	PUNCT
bjmsr-379	85	107	…	…	PUNCT
bjmsr-379	85	108	……	……	NOUN
bjmsr-379	85	109	……	……	NOUN
bjmsr-379	85	110	..	..	PUNCT
bjmsr-379	85	111	equation	equation	NOUN
bjmsr-379	85	112	16	16	NUM
bjmsr-379	85	113	here	here	ADV
bjmsr-379	85	114	r	r	NOUN
bjmsr-379	85	115	is	be	AUX
bjmsr-379	85	116	the	the	DET
bjmsr-379	85	117	fraction	fraction	NOUN
bjmsr-379	85	118	of	of	ADP
bjmsr-379	85	119	time	time	NOUN
bjmsr-379	85	120	the	the	DET
bjmsr-379	85	121	server	server	NOUN
bjmsr-379	85	122	is	be	AUX
bjmsr-379	85	123	working	work	VERB
bjmsr-379	85	124	(	(	PUNCT
bjmsr-379	85	125	called	call	VERB
bjmsr-379	85	126	the	the	DET
bjmsr-379	85	127	utility	utility	NOUN
bjmsr-379	85	128	factor	factor	NOUN
bjmsr-379	85	129	)	)	PUNCT
bjmsr-379	85	130	.	.	PUNCT
bjmsr-379	86	1	time	time	NOUN
bjmsr-379	86	2	-	-	PUNCT
bjmsr-379	86	3	dependent	dependent	ADJ
bjmsr-379	86	4	behaviour	behaviour	NOUN
bjmsr-379	86	5	of	of	ADP
bjmsr-379	86	6	this	this	DET
bjmsr-379	86	7	system	system	NOUN
bjmsr-379	86	8	will	will	AUX
bjmsr-379	86	9	be	be	AUX
bjmsr-379	86	10	considered	consider	VERB
bjmsr-379	86	11	firstly	firstly	ADV
bjmsr-379	86	12	,	,	PUNCT
bjmsr-379	86	13	then	then	ADV
bjmsr-379	86	14	the	the	DET
bjmsr-379	86	15	limiting	limit	VERB
bjmsr-379	86	16	behaviour	behaviour	NOUN
bjmsr-379	86	17	.	.	PUNCT
bjmsr-379	87	1	let	let	AUX
bjmsr-379	87	2	rn(t	rn(t	NUM
bjmsr-379	87	3	)	)	PUNCT
bjmsr-379	87	4	denote	denote	VERB
bjmsr-379	87	5	the	the	DET
bjmsr-379	87	6	probability	probability	NOUN
bjmsr-379	87	7	that	that	SCONJ
bjmsr-379	87	8	at	at	ADP
bjmsr-379	87	9	time	time	NOUN
bjmsr-379	87	10	t	t	NOUN
bjmsr-379	87	11	there	there	PRON
bjmsr-379	87	12	are	be	VERB
bjmsr-379	87	13	n	n	PRON
bjmsr-379	87	14	passengers	passenger	NOUN
bjmsr-379	87	15	in	in	ADP
bjmsr-379	87	16	the	the	DET
bjmsr-379	87	17	system	system	NOUN
bjmsr-379	87	18	.	.	PUNCT
bjmsr-379	88	1	then	then	ADV
bjmsr-379	88	2	by	by	ADP
bjmsr-379	88	3	equation	equation	NOUN
bjmsr-379	88	4	3	3	NUM
bjmsr-379	88	5	,	,	PUNCT
bjmsr-379	88	6	when	when	SCONJ
bjmsr-379	88	7	∆t	∆t	PROPN
bjmsr-379	88	8	→	→	SYM
bjmsr-379	88	9	0	0	NUM
bjmsr-379	88	10	,	,	PUNCT
bjmsr-379	88	11	r0(t	r0(t	X
bjmsr-379	88	12	+	+	NOUN
bjmsr-379	88	13	∆t	∆t	NOUN
bjmsr-379	88	14	)	)	PUNCT
bjmsr-379	88	15	=	=	PUNCT
bjmsr-379	88	16	(	(	PUNCT
bjmsr-379	88	17	1	1	NUM
bjmsr-379	88	18	−	−	NUM
bjmsr-379	88	19	λ∆t)r0(t	λ∆t)r0(t	NUM
bjmsr-379	88	20	)	)	PUNCT
bjmsr-379	88	21	+	+	CCONJ
bjmsr-379	88	22	µ∆tr1(t	µ∆tr1(t	X
bjmsr-379	88	23	)	)	PUNCT
bjmsr-379	88	24	+	+	NUM
bjmsr-379	88	25	0(∆t	0(∆t	NOUN
bjmsr-379	88	26	)	)	PUNCT
bjmsr-379	88	27	…	…	PUNCT
bjmsr-379	88	28	…	…	PUNCT
bjmsr-379	88	29	…	…	PUNCT
bjmsr-379	88	30	…	…	PUNCT
bjmsr-379	88	31	……	……	NOUN
bjmsr-379	88	32	……	……	NOUN
bjmsr-379	88	33	..	..	PUNCT
bjmsr-379	88	34	equation	equation	NOUN
bjmsr-379	88	35	17	17	NUM
bjmsr-379	88	36	rn(t	rn(t	X
bjmsr-379	88	37	+	+	CCONJ
bjmsr-379	88	38	∆t	∆t	NUM
bjmsr-379	88	39	)	)	PUNCT
bjmsr-379	88	40	=	=	SYM
bjmsr-379	88	41	λ∆trn−1(t	λ∆trn−1(t	PROPN
bjmsr-379	88	42	)	)	PUNCT
bjmsr-379	89	1	+	+	CCONJ
bjmsr-379	89	2	(	(	PUNCT
bjmsr-379	89	3	1	1	NUM
bjmsr-379	89	4	−	−	PROPN
bjmsr-379	89	5	(	(	PUNCT
bjmsr-379	89	6	λ	λ	X
bjmsr-379	89	7	+	+	NOUN
bjmsr-379	89	8	µ)∆t)rn(t	µ)∆t)rn(t	NUM
bjmsr-379	89	9	)	)	PUNCT
bjmsr-379	89	10	+	+	NUM
bjmsr-379	89	11	µ∆trn+1(t	µ∆trn+1(t	X
bjmsr-379	89	12	)	)	PUNCT
bjmsr-379	90	1	+	+	NUM
bjmsr-379	90	2	0(∆t	0(∆t	NOUN
bjmsr-379	90	3	)	)	PUNCT
bjmsr-379	90	4	…	…	PUNCT
bjmsr-379	90	5	…	…	PUNCT
bjmsr-379	90	6	…	…	PUNCT
bjmsr-379	90	7	…	…	SYM
bjmsr-379	90	8	……	……	NOUN
bjmsr-379	90	9	..	..	PUNCT
bjmsr-379	90	10	equation	equation	NOUN
bjmsr-379	90	11	18	18	NUM
bjmsr-379	90	12	where	where	SCONJ
bjmsr-379	90	13	n	n	NOUN
bjmsr-379	90	14	=	=	SYM
bjmsr-379	90	15	1,2	1,2	NUM
bjmsr-379	90	16	,	,	PUNCT
bjmsr-379	90	17	...	...	PUNCT
bjmsr-379	90	18	hence	hence	ADV
bjmsr-379	90	19	,	,	PUNCT
bjmsr-379	90	20	by	by	ADP
bjmsr-379	90	21	tending	tend	VERB
bjmsr-379	90	22	∆t	∆t	PROPN
bjmsr-379	90	23	→	→	SYM
bjmsr-379	90	24	0	0	NUM
bjmsr-379	90	25	,	,	PUNCT
bjmsr-379	90	26	the	the	DET
bjmsr-379	90	27	following	follow	VERB
bjmsr-379	90	28	infinite	infinite	ADJ
bjmsr-379	90	29	set	set	NOUN
bjmsr-379	90	30	of	of	ADP
bjmsr-379	90	31	differential	differential	ADJ
bjmsr-379	90	32	equations	equation	NOUN
bjmsr-379	90	33	for	for	ADP
bjmsr-379	90	34	rn(t	rn(t	NUM
bjmsr-379	90	35	)	)	PUNCT
bjmsr-379	90	36	will	will	AUX
bjmsr-379	90	37	be	be	AUX
bjmsr-379	90	38	obtained	obtain	VERB
bjmsr-379	90	39	.	.	PUNCT
bjmsr-379	91	1	r1	r1	PROPN
bjmsr-379	91	2	0	0	NUM
bjmsr-379	92	1	(	(	PUNCT
bjmsr-379	92	2	t	t	NOUN
bjmsr-379	92	3	)	)	PUNCT
bjmsr-379	92	4	=	=	SYM
bjmsr-379	92	5	−λr0(t	−λr0(t	X
bjmsr-379	92	6	)	)	PUNCT
bjmsr-379	92	7	+	+	CCONJ
bjmsr-379	92	8	µr1(t	µr1(t	PROPN
bjmsr-379	92	9	)	)	PUNCT
bjmsr-379	92	10	…	…	PUNCT
bjmsr-379	92	11	…	…	PUNCT
bjmsr-379	92	12	…	…	PUNCT
bjmsr-379	92	13	…	…	PUNCT
bjmsr-379	92	14	……	……	NOUN
bjmsr-379	92	15	……	……	NOUN
bjmsr-379	92	16	..	..	PUNCT
bjmsr-379	92	17	equation	equation	NOUN
bjmsr-379	92	18	19	19	NUM
bjmsr-379	92	19	r1	r1	PROPN
bjmsr-379	92	20	n(t	n(t	PROPN
bjmsr-379	92	21	)	)	PUNCT
bjmsr-379	92	22	=	=	PUNCT
bjmsr-379	93	1	λpn−1(t	λpn−1(t	PROPN
bjmsr-379	93	2	)	)	PUNCT
bjmsr-379	94	1	−	−	PROPN
bjmsr-379	94	2	(	(	PUNCT
bjmsr-379	94	3	λ	λ	X
bjmsr-379	94	4	+	+	NOUN
bjmsr-379	94	5	µ)rn(t	µ)rn(t	NUM
bjmsr-379	94	6	)	)	PUNCT
bjmsr-379	95	1	+	+	CCONJ
bjmsr-379	95	2	µrn+1(t	µrn+1(t	ADJ
bjmsr-379	95	3	)	)	PUNCT
bjmsr-379	95	4	,	,	PUNCT
bjmsr-379	95	5	n	n	NOUN
bjmsr-379	95	6	=	=	SYM
bjmsr-379	95	7	1,2	1,2	NUM
bjmsr-379	95	8	,	,	PUNCT
bjmsr-379	95	9	…	…	PUNCT
bjmsr-379	95	10	…	…	PUNCT
bjmsr-379	95	11	…	…	PUNCT
bjmsr-379	95	12	…	…	PUNCT
bjmsr-379	95	13	……	……	NOUN
bjmsr-379	95	14	……	……	NOUN
bjmsr-379	95	15	..	..	PUNCT
bjmsr-379	95	16	equation	equation	NOUN
bjmsr-379	95	17	20	20	NUM
bjmsr-379	95	18	it	it	PRON
bjmsr-379	95	19	is	be	AUX
bjmsr-379	95	20	very	very	ADV
bjmsr-379	95	21	difficult	difficult	ADJ
bjmsr-379	95	22	to	to	PART
bjmsr-379	95	23	solve	solve	VERB
bjmsr-379	95	24	these	these	DET
bjmsr-379	95	25	differential	differential	ADJ
bjmsr-379	95	26	equations	equation	NOUN
bjmsr-379	95	27	.	.	PUNCT
bjmsr-379	96	1	however	however	ADV
bjmsr-379	96	2	,	,	PUNCT
bjmsr-379	96	3	when	when	SCONJ
bjmsr-379	96	4	we	we	PRON
bjmsr-379	96	5	focus	focus	VERB
bjmsr-379	96	6	on	on	ADP
bjmsr-379	96	7	the	the	DET
bjmsr-379	96	8	limiting	limiting	NOUN
bjmsr-379	96	9	or	or	CCONJ
bjmsr-379	96	10	equilibrium	equilibrium	NOUN
bjmsr-379	96	11	behaviour	behaviour	NOUN
bjmsr-379	96	12	of	of	ADP
bjmsr-379	96	13	this	this	DET
bjmsr-379	96	14	system	system	NOUN
bjmsr-379	96	15	,	,	PUNCT
bjmsr-379	96	16	it	it	PRON
bjmsr-379	96	17	is	be	AUX
bjmsr-379	96	18	much	much	ADV
bjmsr-379	96	19	easier	easy	ADJ
bjmsr-379	96	20	.	.	PUNCT
bjmsr-379	97	1	it	it	PRON
bjmsr-379	97	2	was	be	AUX
bjmsr-379	97	3	revealed	reveal	VERB
bjmsr-379	97	4	by	by	ADP
bjmsr-379	97	5	(	(	PUNCT
bjmsr-379	97	6	sztrik	sztrik	PROPN
bjmsr-379	97	7	,	,	PUNCT
bjmsr-379	97	8	2016	2016	NUM
bjmsr-379	97	9	)	)	PUNCT
bjmsr-379	98	1	that	that	SCONJ
bjmsr-379	98	2	when	when	SCONJ
bjmsr-379	98	3	t	t	PROPN
bjmsr-379	98	4	→∞	→∞	PROPN
bjmsr-379	98	5	,	,	PUNCT
bjmsr-379	98	6	r1	r1	NOUN
bjmsr-379	98	7	n(t	n(t	PROPN
bjmsr-379	98	8	)	)	PUNCT
bjmsr-379	98	9	→	→	SYM
bjmsr-379	98	10	0	0	NUM
bjmsr-379	98	11	and	and	CCONJ
bjmsr-379	98	12	rn(t	rn(t	NUM
bjmsr-379	98	13	)	)	PUNCT
bjmsr-379	98	14	→	→	SYM
bjmsr-379	98	15	rn	rn	X
bjmsr-379	98	16	.	.	PUNCT
bjmsr-379	99	1	it	it	PRON
bjmsr-379	99	2	follows	follow	VERB
bjmsr-379	99	3	that	that	SCONJ
bjmsr-379	99	4	the	the	DET
bjmsr-379	99	5	limiting	limit	VERB
bjmsr-379	99	6	probabilities	probability	NOUN
bjmsr-379	99	7	rn	rn	ADP
bjmsr-379	99	8	satisfy	satisfy	PROPN
bjmsr-379	99	9	equations	equation	NOUN
bjmsr-379	99	10	0	0	NUM
bjmsr-379	100	1	=	=	SYM
bjmsr-379	100	2	−λr0	−λr0	X
bjmsr-379	100	3	+	+	X
bjmsr-379	100	4	µr1	µr1	VERB
bjmsr-379	100	5	……	……	NOUN
bjmsr-379	100	6	……	……	NOUN
bjmsr-379	100	7	……	……	NOUN
bjmsr-379	100	8	……	……	NOUN
bjmsr-379	100	9	……	……	NOUN
bjmsr-379	100	10	..	..	PUNCT
bjmsr-379	100	11	equation	equation	NOUN
bjmsr-379	100	12	21	21	NUM
bjmsr-379	100	13	0	0	NUM
bjmsr-379	101	1	=	=	PUNCT
bjmsr-379	102	1	λrn−1	λrn−1	PROPN
bjmsr-379	102	2	−	−	PROPN
bjmsr-379	102	3	(	(	PUNCT
bjmsr-379	102	4	λ	λ	X
bjmsr-379	102	5	+	+	CCONJ
bjmsr-379	102	6	µ)rn	µ)rn	PROPN
bjmsr-379	102	7	+	+	CCONJ
bjmsr-379	102	8	µrn+1	µrn+1	PROPN
bjmsr-379	102	9	,	,	PUNCT
bjmsr-379	102	10	,	,	PUNCT
bjmsr-379	102	11	n	n	NOUN
bjmsr-379	102	12	=	=	SYM
bjmsr-379	102	13	1,2	1,2	NUM
bjmsr-379	102	14	,	,	PUNCT
bjmsr-379	102	15	…	…	PUNCT
bjmsr-379	102	16	…	…	PUNCT
bjmsr-379	102	17	…	…	PUNCT
bjmsr-379	102	18	……	……	NOUN
bjmsr-379	102	19	……	……	NOUN
bjmsr-379	102	20	……	……	NOUN
bjmsr-379	102	21	equation	equation	NOUN
bjmsr-379	102	22	22	22	NUM
bjmsr-379	102	23	moreover	moreover	ADV
bjmsr-379	102	24	,	,	PUNCT
bjmsr-379	102	25	rn	rn	PROPN
bjmsr-379	102	26	also	also	ADV
bjmsr-379	102	27	satisfy	satisfy	VERB
bjmsr-379	102	28	∑	∑	PROPN
bjmsr-379	102	29	rn	rn	PROPN
bjmsr-379	102	30	=	=	SYM
bjmsr-379	102	31	1∞	1∞	PROPN
bjmsr-379	102	32	n=0	n=0	NUM
bjmsr-379	102	33	…	…	PUNCT
bjmsr-379	102	34	…	…	PUNCT
bjmsr-379	102	35	…	…	PUNCT
bjmsr-379	102	36	…	…	PUNCT
bjmsr-379	102	37	……	……	NOUN
bjmsr-379	102	38	……	……	NOUN
bjmsr-379	102	39	……	……	NOUN
bjmsr-379	102	40	..	..	PUNCT
bjmsr-379	102	41	equation	equation	NOUN
bjmsr-379	102	42	23	23	NUM
bjmsr-379	102	43	which	which	PRON
bjmsr-379	102	44	is	be	AUX
bjmsr-379	102	45	called	call	VERB
bjmsr-379	102	46	the	the	DET
bjmsr-379	102	47	normalization	normalization	NOUN
bjmsr-379	102	48	equation	equation	NOUN
bjmsr-379	102	49	.	.	PUNCT
bjmsr-379	103	1	we	we	PRON
bjmsr-379	103	2	can	can	AUX
bjmsr-379	103	3	also	also	ADV
bjmsr-379	103	4	use	use	VERB
bjmsr-379	103	5	a	a	DET
bjmsr-379	103	6	flow	flow	NOUN
bjmsr-379	103	7	diagram	diagram	NOUN
bjmsr-379	103	8	to	to	PART
bjmsr-379	103	9	derive	derive	VERB
bjmsr-379	103	10	the	the	DET
bjmsr-379	103	11	normalization	normalization	NOUN
bjmsr-379	103	12	equations	equation	NOUN
bjmsr-379	103	13	directly	directly	ADV
bjmsr-379	103	14	.	.	PUNCT
bjmsr-379	104	1	for	for	ADP
bjmsr-379	104	2	an	an	DET
bjmsr-379	104	3	m	m	PROPN
bjmsr-379	104	4	/	/	SYM
bjmsr-379	104	5	m/1	m/1	NOUN
bjmsr-379	104	6	system	system	NOUN
bjmsr-379	104	7	,	,	PUNCT
bjmsr-379	104	8	the	the	DET
bjmsr-379	104	9	flow	flow	NOUN
bjmsr-379	104	10	diagram	diagram	NOUN
bjmsr-379	104	11	is	be	AUX
bjmsr-379	104	12	shown	show	VERB
bjmsr-379	104	13	in	in	ADP
bjmsr-379	104	14	figure	figure	NOUN
bjmsr-379	104	15	4	4	NUM
bjmsr-379	104	16	:	:	PUNCT
bjmsr-379	104	17	figure	figure	VERB
bjmsr-379	104	18	4	4	NUM
bjmsr-379	104	19	:	:	PUNCT
bjmsr-379	104	20	process	process	NOUN
bjmsr-379	104	21	diagram	diagram	NOUN
bjmsr-379	104	22	for	for	ADP
bjmsr-379	104	23	m	m	PROPN
bjmsr-379	104	24	/	/	SYM
bjmsr-379	104	25	m/1	m/1	NOUN
bjmsr-379	104	26	queue	queue	NOUN
bjmsr-379	104	27	,	,	PUNCT
bjmsr-379	104	28	k=1,2,3	k=1,2,3	PROPN
bjmsr-379	104	29	,	,	PUNCT
bjmsr-379	104	30	...	...	PUNCT
bjmsr-379	104	31	(	(	PUNCT
bjmsr-379	104	32	ademoh	ademoh	NOUN
bjmsr-379	104	33	and	and	CCONJ
bjmsr-379	104	34	anosike	anosike	NOUN
bjmsr-379	104	35	,	,	PUNCT
bjmsr-379	104	36	2014	2014	NUM
bjmsr-379	104	37	;	;	PUNCT
bjmsr-379	104	38	adeniran	adeniran	NOUN
bjmsr-379	104	39	and	and	CCONJ
bjmsr-379	104	40	kanyio	kanyio	NOUN
bjmsr-379	104	41	,	,	PUNCT
bjmsr-379	104	42	2019	2019	NUM
bjmsr-379	104	43	)	)	PUNCT
bjmsr-379	104	44	the	the	DET
bjmsr-379	104	45	rate	rate	NOUN
bjmsr-379	104	46	matrix	matrix	NOUN
bjmsr-379	104	47	of	of	ADP
bjmsr-379	104	48	the	the	DET
bjmsr-379	104	49	system	system	NOUN
bjmsr-379	104	50	is	be	AUX
bjmsr-379	104	51	:	:	PUNCT
bjmsr-379	104	52	q	q	X
bjmsr-379	104	53	=	=	SYM
bjmsr-379	104	54	−λ	−λ	NOUN
bjmsr-379	104	55	λ	λ	NOUN
bjmsr-379	104	56	0	0	NUM
bjmsr-379	104	57	0	0	NUM
bjmsr-379	104	58	0	0	NUM
bjmsr-379	104	59	.	.	PUNCT
bjmsr-379	104	60	.	.	PUNCT
bjmsr-379	104	61	.	.	PUNCT
bjmsr-379	105	1	µ	µ	X
bjmsr-379	105	2	−(µ	−(µ	X
bjmsr-379	105	3	+	+	CCONJ
bjmsr-379	105	4	λ	λ	NOUN
bjmsr-379	105	5	)	)	PUNCT
bjmsr-379	105	6	λ	λ	NOUN
bjmsr-379	105	7	0	0	NUM
bjmsr-379	105	8	0	0	NUM
bjmsr-379	105	9	.	.	PUNCT
bjmsr-379	105	10	.	.	PUNCT
bjmsr-379	106	1	.	.	PUNCT
bjmsr-379	106	2	0	0	NUM
bjmsr-379	107	1	µ	µ	X
bjmsr-379	107	2	−(µ	−(µ	X
bjmsr-379	107	3	+	+	CCONJ
bjmsr-379	107	4	λ	λ	NOUN
bjmsr-379	107	5	)	)	PUNCT
bjmsr-379	107	6	λ	λ	NOUN
bjmsr-379	107	7	0	0	NUM
bjmsr-379	107	8	.	.	PUNCT
bjmsr-379	107	9	.	.	PUNCT
bjmsr-379	107	10	.	.	PUNCT
bjmsr-379	108	1	0	0	NUM
bjmsr-379	108	2	0	0	NUM
bjmsr-379	108	3	µ	µ	NOUN
bjmsr-379	108	4	−(µ	−(µ	NOUN
bjmsr-379	108	5	+	+	CCONJ
bjmsr-379	108	6	λ	λ	NOUN
bjmsr-379	108	7	)	)	PUNCT
bjmsr-379	108	8	λ	λ	PROPN
bjmsr-379	108	9	.	.	PUNCT
bjmsr-379	108	10	.	.	PUNCT
bjmsr-379	108	11	.	.	PUNCT
bjmsr-379	108	12	.	.	PUNCT
bjmsr-379	108	13	.	.	PUNCT
bjmsr-379	108	14	.	.	PUNCT
bjmsr-379	108	15	.	.	PUNCT
bjmsr-379	108	16	.	.	PUNCT
bjmsr-379	108	17	.	.	PUNCT
bjmsr-379	108	18	.	.	PUNCT
bjmsr-379	108	19	.	.	PUNCT
bjmsr-379	108	20	.	.	PUNCT
bjmsr-379	108	21	.	.	PUNCT
bjmsr-379	108	22	.	.	PUNCT
bjmsr-379	108	23	.	.	PUNCT
bjmsr-379	108	24	.	.	PUNCT
bjmsr-379	108	25	.	.	PUNCT
bjmsr-379	108	26	.	.	PUNCT
bjmsr-379	108	27	.	.	PUNCT
bjmsr-379	108	28	.	.	PUNCT
bjmsr-379	108	29	.	.	PUNCT
bjmsr-379	108	30	.	.	PUNCT
bjmsr-379	108	31	.	.	PUNCT
bjmsr-379	108	32	.	.	PUNCT
bjmsr-379	108	33	.	.	PUNCT
bjmsr-379	108	34	.	.	PUNCT
bjmsr-379	108	35	.	.	PUNCT
bjmsr-379	109	1	…	…	PUNCT
bjmsr-379	109	2	…	…	PUNCT
bjmsr-379	109	3	…	…	PUNCT
bjmsr-379	109	4	……	……	NOUN
bjmsr-379	109	5	……	……	NOUN
bjmsr-379	109	6	..	..	PUNCT
bjmsr-379	109	7	equation	equation	NOUN
bjmsr-379	109	8	24	24	NUM
bjmsr-379	109	9	notice	notice	VERB
bjmsr-379	109	10	that	that	SCONJ
bjmsr-379	109	11	the	the	DET
bjmsr-379	109	12	sum	sum	NOUN
bjmsr-379	109	13	of	of	ADP
bjmsr-379	109	14	each	each	DET
bjmsr-379	109	15	row	row	NOUN
bjmsr-379	109	16	equals	equal	VERB
bjmsr-379	109	17	0	0	NUM
bjmsr-379	109	18	.	.	PUNCT
bjmsr-379	110	1	in	in	ADP
bjmsr-379	110	2	order	order	NOUN
bjmsr-379	110	3	to	to	PART
bjmsr-379	110	4	determine	determine	VERB
bjmsr-379	110	5	the	the	DET
bjmsr-379	110	6	equations	equation	NOUN
bjmsr-379	110	7	from	from	ADP
bjmsr-379	110	8	the	the	DET
bjmsr-379	110	9	flow	flow	NOUN
bjmsr-379	110	10	diagram	diagram	NOUN
bjmsr-379	110	11	,	,	PUNCT
bjmsr-379	110	12	a	a	DET
bjmsr-379	110	13	global	global	ADJ
bjmsr-379	110	14	balance	balance	NOUN
bjmsr-379	110	15	principle	principle	NOUN
bjmsr-379	110	16	was	be	AUX
bjmsr-379	110	17	adopted	adopt	VERB
bjmsr-379	110	18	.	.	PUNCT
bjmsr-379	111	1	global	global	ADJ
bjmsr-379	111	2	balance	balance	NOUN
bjmsr-379	111	3	principle	principle	NOUN
bjmsr-379	111	4	states	state	VERB
bjmsr-379	111	5	that	that	SCONJ
bjmsr-379	111	6	for	for	ADP
bjmsr-379	111	7	each	each	DET
bjmsr-379	111	8	set	set	NOUN
bjmsr-379	111	9	of	of	ADP
bjmsr-379	111	10	states	state	NOUN
bjmsr-379	111	11	under	under	ADP
bjmsr-379	111	12	the	the	DET
bjmsr-379	111	13	equilibrium	equilibrium	NOUN
bjmsr-379	111	14	condition	condition	NOUN
bjmsr-379	111	15	,	,	PUNCT
bjmsr-379	111	16	the	the	DET
bjmsr-379	111	17	flow	flow	NOUN
bjmsr-379	111	18	out	out	ADP
bjmsr-379	111	19	of	of	ADP
bjmsr-379	111	20	set	set	NOUN
bjmsr-379	111	21	is	be	AUX
bjmsr-379	111	22	equal	equal	ADJ
bjmsr-379	111	23	to	to	ADP
bjmsr-379	111	24	the	the	DET
bjmsr-379	111	25	flow	flow	NOUN
bjmsr-379	111	26	into	into	ADP
bjmsr-379	111	27	that	that	DET
bjmsr-379	111	28	set	set	NOUN
bjmsr-379	111	29	.	.	PUNCT
bjmsr-379	112	1	based	base	VERB
bjmsr-379	112	2	on	on	ADP
bjmsr-379	112	3	figure	figure	NOUN
bjmsr-379	112	4	1	1	NUM
bjmsr-379	112	5	,	,	PUNCT
bjmsr-379	112	6	copyright	copyright	NOUN
bjmsr-379	112	7	©	©	PROPN
bjmsr-379	112	8	cc	cc	PROPN
bjmsr-379	112	9	-	-	PUNCT
bjmsr-379	112	10	by	by	ADP
bjmsr-379	112	11	-	-	PUNCT
bjmsr-379	112	12	nc	nc	PROPN
bjmsr-379	112	13	2019	2019	NUM
bjmsr-379	112	14	,	,	PUNCT
bjmsr-379	112	15	bjmsr	bjmsr	PROPN
bjmsr-379	112	16	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-379	112	17	bangladesh	bangladesh	PROPN
bjmsr-379	112	18	journal	journal	PROPN
bjmsr-379	112	19	of	of	ADP
bjmsr-379	112	20	multidisciplinary	multidisciplinary	ADJ
bjmsr-379	112	21	scientific	scientific	ADJ
bjmsr-379	112	22	research	research	NOUN
bjmsr-379	112	23	vol	vol	NOUN
bjmsr-379	112	24	.	.	PROPN
bjmsr-379	113	1	1	1	NUM
bjmsr-379	113	2	,	,	PUNCT
bjmsr-379	113	3	no	no	INTJ
bjmsr-379	113	4	.	.	NOUN
bjmsr-379	113	5	2	2	NUM
bjmsr-379	113	6	;	;	PUNCT
bjmsr-379	113	7	2019	2019	NUM
bjmsr-379	113	8	51	51	NUM
bjmsr-379	113	9	𝑆𝑡𝑎𝑡𝑒	𝑆𝑡𝑎𝑡𝑒	PROPN
bjmsr-379	113	10	𝑅𝑎𝑡𝑒	𝑅𝑎𝑡𝑒	PROPN
bjmsr-379	113	11	𝐼𝑛	𝐼𝑛	PROPN
bjmsr-379	113	12	=	=	SYM
bjmsr-379	114	1	𝑅𝑎𝑡𝑒	𝑅𝑎𝑡𝑒	PROPN
bjmsr-379	114	2	𝑂𝑢𝑡	𝑂𝑢𝑡	NOUN
bjmsr-379	114	3	0	0	NUM
bjmsr-379	114	4	µ𝑅1	µ𝑅1	PROPN
bjmsr-379	114	5	=	=	SYM
bjmsr-379	114	6	𝜆𝑅0	𝜆𝑅0	PROPN
bjmsr-379	114	7	1	1	NUM
bjmsr-379	114	8	𝜆𝑅0	𝜆𝑅0	PROPN
bjmsr-379	114	9	+	+	PROPN
bjmsr-379	114	10	µ𝑅2	µ𝑅2	PROPN
bjmsr-379	114	11	=	=	SYM
bjmsr-379	114	12	(	(	PUNCT
bjmsr-379	114	13	𝜆	𝜆	ADP
bjmsr-379	114	14	+	+	X
bjmsr-379	114	15	µ)𝑅1	µ)𝑅1	ADJ
bjmsr-379	114	16	2	2	NUM
bjmsr-379	114	17	𝜆𝑅1	𝜆𝑅1	NOUN
bjmsr-379	114	18	+	+	CCONJ
bjmsr-379	114	19	µ𝑅3	µ𝑅3	PROPN
bjmsr-379	114	20	=	=	SYM
bjmsr-379	114	21	(	(	PUNCT
bjmsr-379	114	22	𝜆	𝜆	NOUN
bjmsr-379	114	23	+	+	NOUN
bjmsr-379	114	24	µ)𝑅2	µ)𝑅2	NOUN
bjmsr-379	114	25	this	this	PRON
bjmsr-379	114	26	is	be	AUX
bjmsr-379	114	27	exactly	exactly	ADV
bjmsr-379	114	28	the	the	DET
bjmsr-379	114	29	normalization	normalization	NOUN
bjmsr-379	114	30	equation	equation	NOUN
bjmsr-379	114	31	.	.	PUNCT
bjmsr-379	115	1	to	to	PART
bjmsr-379	115	2	solve	solve	VERB
bjmsr-379	115	3	the	the	DET
bjmsr-379	115	4	equation	equation	NOUN
bjmsr-379	115	5	,	,	PUNCT
bjmsr-379	115	6	firstly	firstly	ADV
bjmsr-379	115	7	,	,	PUNCT
bjmsr-379	115	8	it	it	PRON
bjmsr-379	115	9	was	be	AUX
bjmsr-379	115	10	assume	assume	VERB
bjmsr-379	115	11	that	that	SCONJ
bjmsr-379	115	12	(	(	PUNCT
bjmsr-379	115	13	r	r	NOUN
bjmsr-379	115	14	)	)	PUNCT
bjmsr-379	115	15	=	=	NOUN
bjmsr-379	116	1	𝐴𝑣𝑒𝑟𝑎𝑔𝑒	𝐴𝑣𝑒𝑟𝑎𝑔𝑒	PROPN
bjmsr-379	116	2	𝐴𝑟𝑟𝑖𝑣𝑎𝑙	𝐴𝑟𝑟𝑖𝑣𝑎𝑙	PROPN
bjmsr-379	116	3	𝑅𝑎𝑡𝑒	𝑅𝑎𝑡𝑒	PROPN
bjmsr-379	116	4	(	(	PUNCT
bjmsr-379	116	5	𝜆	𝜆	NOUN
bjmsr-379	116	6	)	)	PUNCT
bjmsr-379	116	7	𝐴𝑣𝑒𝑟𝑎𝑔𝑒	𝐴𝑣𝑒𝑟𝑎𝑔𝑒	PROPN
bjmsr-379	116	8	𝑠𝑒𝑟𝑣𝑖𝑐𝑒	𝑠𝑒𝑟𝑣𝑖𝑐𝑒	NOUN
bjmsr-379	116	9	𝑟𝑎𝑡𝑒	𝑟𝑎𝑡𝑒	NOUN
bjmsr-379	116	10	(	(	PUNCT
bjmsr-379	116	11	𝜇	𝜇	NOUN
bjmsr-379	116	12	)	)	PUNCT
bjmsr-379	116	13	which	which	PRON
bjmsr-379	116	14	is	be	AUX
bjmsr-379	116	15	known	know	VERB
bjmsr-379	116	16	as	as	ADP
bjmsr-379	116	17	the	the	DET
bjmsr-379	116	18	utilization	utilization	NOUN
bjmsr-379	116	19	factor	factor	NOUN
bjmsr-379	116	20	.	.	PUNCT
bjmsr-379	117	1	from	from	ADP
bjmsr-379	117	2	the	the	DET
bjmsr-379	117	3	equilibrium	equilibrium	NOUN
bjmsr-379	117	4	equation	equation	NOUN
bjmsr-379	117	5	of	of	ADP
bjmsr-379	117	6	state	state	NOUN
bjmsr-379	117	7	0	0	NUM
bjmsr-379	117	8	,	,	PUNCT
bjmsr-379	117	9	we	we	PRON
bjmsr-379	117	10	have	have	VERB
bjmsr-379	117	11	:	:	PUNCT
bjmsr-379	117	12	r1	r1	NOUN
bjmsr-379	117	13	=	=	PUNCT
bjmsr-379	117	14	rp0	rp0	NOUN
bjmsr-379	117	15	…	…	PUNCT
bjmsr-379	117	16	…	…	PUNCT
bjmsr-379	117	17	…	…	PUNCT
bjmsr-379	117	18	…	…	PUNCT
bjmsr-379	117	19	……	……	NOUN
bjmsr-379	117	20	……	……	NOUN
bjmsr-379	117	21	……	……	NOUN
bjmsr-379	117	22	.	.	PUNCT
bjmsr-379	118	1	equation	equation	NOUN
bjmsr-379	118	2	25	25	NUM
bjmsr-379	118	3	when	when	SCONJ
bjmsr-379	118	4	equation	equation	NOUN
bjmsr-379	118	5	25	25	NUM
bjmsr-379	118	6	was	be	AUX
bjmsr-379	118	7	substituted	substitute	VERB
bjmsr-379	118	8	into	into	ADP
bjmsr-379	118	9	the	the	DET
bjmsr-379	118	10	equilibrium	equilibrium	NOUN
bjmsr-379	118	11	equation	equation	NOUN
bjmsr-379	118	12	of	of	ADP
bjmsr-379	118	13	state	state	NOUN
bjmsr-379	118	14	1	1	NUM
bjmsr-379	118	15	,	,	PUNCT
bjmsr-379	118	16	then	then	ADV
bjmsr-379	118	17	:	:	PUNCT
bjmsr-379	118	18	λp0	λp0	PROPN
bjmsr-379	118	19	+	+	CCONJ
bjmsr-379	118	20	µp2	µp2	VERB
bjmsr-379	118	21	=	=	SYM
bjmsr-379	118	22	(	(	PUNCT
bjmsr-379	118	23	λ	λ	X
bjmsr-379	118	24	+	+	NUM
bjmsr-379	118	25	µ)rp0	µ)rp0	NOUN
bjmsr-379	118	26	=	=	SYM
bjmsr-379	118	27	𝜆2	𝜆2	NOUN
bjmsr-379	118	28	𝜇	𝜇	ADP
bjmsr-379	118	29	p0	p0	NOUN
bjmsr-379	118	30	…	…	PUNCT
bjmsr-379	118	31	…	…	PUNCT
bjmsr-379	118	32	…	…	PUNCT
bjmsr-379	118	33	…	…	PUNCT
bjmsr-379	118	34	…	…	PUNCT
bjmsr-379	118	35	……	……	NOUN
bjmsr-379	118	36	……	……	NOUN
bjmsr-379	118	37	……	……	NOUN
bjmsr-379	118	38	..	..	PUNCT
bjmsr-379	118	39	equation	equation	NOUN
bjmsr-379	118	40	26	26	NUM
bjmsr-379	118	41	that	that	PRON
bjmsr-379	118	42	is	be	AUX
bjmsr-379	118	43	µp2	µp2	ADJ
bjmsr-379	118	44	=	=	PUNCT
bjmsr-379	118	45	𝜆2	𝜆2	NOUN
bjmsr-379	118	46	𝜇	𝜇	ADP
bjmsr-379	118	47	p0	p0	NOUN
bjmsr-379	118	48	…	…	PUNCT
bjmsr-379	118	49	…	…	PUNCT
bjmsr-379	118	50	…	…	PUNCT
bjmsr-379	118	51	…	…	PUNCT
bjmsr-379	118	52	…	…	PUNCT
bjmsr-379	118	53	……	……	NOUN
bjmsr-379	118	54	……	……	NOUN
bjmsr-379	118	55	……	……	NOUN
bjmsr-379	118	56	.	.	PUNCT
bjmsr-379	119	1	equation	equation	NOUN
bjmsr-379	119	2	27	27	NUM
bjmsr-379	119	3	therefore	therefore	ADV
bjmsr-379	119	4	,	,	PUNCT
bjmsr-379	119	5	p2	p2	X
bjmsr-379	119	6	=	=	SYM
bjmsr-379	119	7	r2p0	r2p0	X
bjmsr-379	119	8	…	…	PUNCT
bjmsr-379	119	9	…	…	PUNCT
bjmsr-379	119	10	…	…	PUNCT
bjmsr-379	119	11	…	…	PUNCT
bjmsr-379	119	12	……	……	NOUN
bjmsr-379	119	13	……	……	NOUN
bjmsr-379	119	14	……	……	NOUN
bjmsr-379	119	15	.	.	PUNCT
bjmsr-379	120	1	equation	equation	NOUN
bjmsr-379	120	2	28	28	NUM
bjmsr-379	120	3	generally	generally	ADV
bjmsr-379	120	4	,	,	PUNCT
bjmsr-379	120	5	pk	pk	NOUN
bjmsr-379	120	6	=	=	SYM
bjmsr-379	120	7	rkp0	rkp0	NOUN
bjmsr-379	120	8	…	…	PUNCT
bjmsr-379	120	9	…	…	PUNCT
bjmsr-379	120	10	…	…	PUNCT
bjmsr-379	120	11	…	…	PUNCT
bjmsr-379	120	12	……	……	NOUN
bjmsr-379	120	13	……	……	NOUN
bjmsr-379	120	14	……	……	NOUN
bjmsr-379	120	15	.	.	PUNCT
bjmsr-379	121	1	equation	equation	NOUN
bjmsr-379	121	2	29	29	NUM
bjmsr-379	121	3	since	since	SCONJ
bjmsr-379	121	4	∑∞	∑∞	VERB
bjmsr-379	121	5	𝑛=0	𝑛=0	PROPN
bjmsr-379	121	6	pn	pn	PROPN
bjmsr-379	121	7	=	=	SYM
bjmsr-379	121	8	1	1	NUM
bjmsr-379	121	9	…	…	PUNCT
bjmsr-379	121	10	…	…	PUNCT
bjmsr-379	121	11	…	…	PUNCT
bjmsr-379	121	12	…	…	PUNCT
bjmsr-379	121	13	…	…	PUNCT
bjmsr-379	121	14	……	……	NOUN
bjmsr-379	121	15	……	……	NOUN
bjmsr-379	121	16	……	……	NOUN
bjmsr-379	121	17	……	……	NOUN
bjmsr-379	121	18	.	.	PUNCT
bjmsr-379	122	1	equation	equation	NOUN
bjmsr-379	122	2	30	30	NUM
bjmsr-379	122	3	using	use	VERB
bjmsr-379	122	4	(	(	PUNCT
bjmsr-379	122	5	1.29	1.29	NUM
bjmsr-379	122	6	)	)	PUNCT
bjmsr-379	122	7	,	,	PUNCT
bjmsr-379	122	8	we	we	PRON
bjmsr-379	122	9	can	can	AUX
bjmsr-379	122	10	replace	replace	VERB
bjmsr-379	122	11	pk	pk	NOUN
bjmsr-379	122	12	by	by	ADP
bjmsr-379	122	13	r0	r0	NOUN
bjmsr-379	122	14	.	.	PUNCT
bjmsr-379	123	1	then	then	ADV
bjmsr-379	123	2	∑∞	∑∞	VERB
bjmsr-379	123	3	𝑛=0	𝑛=0	PROPN
bjmsr-379	123	4	rnp0	rnp0	VERB
bjmsr-379	123	5	=	=	SYM
bjmsr-379	123	6	1	1	NUM
bjmsr-379	123	7	…	…	PUNCT
bjmsr-379	123	8	……	……	NOUN
bjmsr-379	123	9	……	……	NOUN
bjmsr-379	123	10	……	……	NOUN
bjmsr-379	123	11	……	……	NOUN
bjmsr-379	123	12	……	……	NOUN
bjmsr-379	123	13	..	..	PUNCT
bjmsr-379	123	14	equation	equation	NOUN
bjmsr-379	123	15	31	31	NUM
bjmsr-379	123	16	that	that	PRON
bjmsr-379	123	17	is	be	AUX
bjmsr-379	123	18	1	1	NUM
bjmsr-379	123	19	1−𝑅	1−𝑅	NUM
bjmsr-379	123	20	p0	p0	NOUN
bjmsr-379	123	21	=	=	SYM
bjmsr-379	123	22	1	1	NUM
bjmsr-379	123	23	p0	p0	NOUN
bjmsr-379	123	24	=	=	SYM
bjmsr-379	123	25	1	1	NUM
bjmsr-379	123	26	–	–	PUNCT
bjmsr-379	123	27	r	r	NOUN
bjmsr-379	123	28	…	…	PUNCT
bjmsr-379	123	29	……	……	NOUN
bjmsr-379	123	30	……	……	NOUN
bjmsr-379	123	31	……	……	NOUN
bjmsr-379	123	32	……	……	NOUN
bjmsr-379	123	33	……	……	NOUN
bjmsr-379	123	34	……	……	NOUN
bjmsr-379	123	35	……	……	NOUN
bjmsr-379	123	36	.	.	PUNCT
bjmsr-379	124	1	equation	equation	NOUN
bjmsr-379	124	2	32	32	NUM
bjmsr-379	124	3	moreover	moreover	ADV
bjmsr-379	124	4	,	,	PUNCT
bjmsr-379	124	5	for	for	ADP
bjmsr-379	124	6	any	any	DET
bjmsr-379	124	7	k	k	NOUN
bjmsr-379	124	8	,	,	PUNCT
bjmsr-379	124	9	pk	pk	PROPN
bjmsr-379	124	10	=	=	SYM
bjmsr-379	124	11	rk(1	rk(1	PROPN
bjmsr-379	124	12	−r	−r	ADJ
bjmsr-379	124	13	)	)	PUNCT
bjmsr-379	124	14	…	…	PUNCT
bjmsr-379	124	15	…	…	PUNCT
bjmsr-379	124	16	…	…	PUNCT
bjmsr-379	124	17	…	…	PUNCT
bjmsr-379	124	18	…	…	PUNCT
bjmsr-379	124	19	……	……	NOUN
bjmsr-379	124	20	……	……	NOUN
bjmsr-379	124	21	……	……	NOUN
bjmsr-379	124	22	……	……	NOUN
bjmsr-379	124	23	.	.	PUNCT
bjmsr-379	125	1	equation	equation	NOUN
bjmsr-379	125	2	33	33	NUM
bjmsr-379	125	3	finally	finally	ADV
bjmsr-379	125	4	is	be	AUX
bjmsr-379	125	5	the	the	DET
bjmsr-379	125	6	limiting	limit	VERB
bjmsr-379	125	7	probability	probability	NOUN
bjmsr-379	125	8	pk	pk	NOUN
bjmsr-379	125	9	in	in	ADP
bjmsr-379	125	10	the	the	DET
bjmsr-379	125	11	m	m	PROPN
bjmsr-379	125	12	/	/	SYM
bjmsr-379	125	13	m/1	m/1	NOUN
bjmsr-379	125	14	system	system	NOUN
bjmsr-379	125	15	.	.	PUNCT
bjmsr-379	126	1	the	the	DET
bjmsr-379	126	2	expected	expect	VERB
bjmsr-379	126	3	queue	queue	NOUN
bjmsr-379	126	4	length	length	NOUN
bjmsr-379	126	5	l	l	NOUN
bjmsr-379	126	6	is	be	AUX
bjmsr-379	126	7	given	give	VERB
bjmsr-379	126	8	by	by	ADP
bjmsr-379	126	9	e(l	e(l	PROPN
bjmsr-379	126	10	)	)	PUNCT
bjmsr-379	126	11	=	=	PUNCT
bjmsr-379	127	1	∑	∑	PUNCT
bjmsr-379	127	2	i.	i.	PROPN
bjmsr-379	127	3	pi	pi	PROPN
bjmsr-379	127	4	∞	∞	PROPN
bjmsr-379	127	5	i=0	i=0	PROPN
bjmsr-379	127	6	=	=	PUNCT
bjmsr-379	127	7	∑	∑	PUNCT
bjmsr-379	127	8	i.	i.	PROPN
bjmsr-379	127	9	ri	ri	PROPN
bjmsr-379	128	1	∞	∞	PROPN
bjmsr-379	128	2	i=0	i=0	PROPN
bjmsr-379	128	3	(	(	PUNCT
bjmsr-379	128	4	1	1	NUM
bjmsr-379	128	5	−	−	NOUN
bjmsr-379	128	6	r	r	NOUN
bjmsr-379	128	7	)	)	PUNCT
bjmsr-379	128	8	=	=	SYM
bjmsr-379	128	9	r(1	r(1	PROPN
bjmsr-379	128	10	−	−	PROPN
bjmsr-379	128	11	r	r	NOUN
bjmsr-379	128	12	)	)	PUNCT
bjmsr-379	128	13	∑	∑	PROPN
bjmsr-379	128	14	i.	i.	PROPN
bjmsr-379	128	15	ri	ri	PROPN
bjmsr-379	128	16	∞	∞	PROPN
bjmsr-379	128	17	i=0	i=0	PROPN
bjmsr-379	128	18	=	=	PUNCT
bjmsr-379	128	19	r(1	r(1	PROPN
bjmsr-379	128	20	−	−	PROPN
bjmsr-379	128	21	r	r	NOUN
bjmsr-379	128	22	)	)	PUNCT
bjmsr-379	128	23	(	(	PUNCT
bjmsr-379	128	24	∑〖i	∑〖i	ADJ
bjmsr-379	128	25	.	.	PUNCT
bjmsr-379	129	1	ri)i	ri)i	NOUN
bjmsr-379	129	2	∞	∞	PROPN
bjmsr-379	129	3	i=1	i=1	PROPN
bjmsr-379	129	4	〗	〗	NOUN
bjmsr-379	129	5	=	=	PUNCT
bjmsr-379	129	6	r(1	r(1	PROPN
bjmsr-379	129	7	-	-	PUNCT
bjmsr-379	129	8	r	r	NOUN
bjmsr-379	129	9	)	)	PUNCT
bjmsr-379	129	10	(	(	PUNCT
bjmsr-379	129	11	1	1	NUM
bjmsr-379	129	12	1−r	1−r	NUM
bjmsr-379	129	13	)	)	PUNCT
bjmsr-379	130	1	i	i	PRON
bjmsr-379	130	2	=	=	SYM
bjmsr-379	131	1	r	r	PROPN
bjmsr-379	131	2	1−r	1−r	NUM
bjmsr-379	131	3	..............................	..............................	PUNCT
bjmsr-379	131	4	equation	equation	NOUN
bjmsr-379	131	5	34	34	NUM
bjmsr-379	131	6	(	(	PUNCT
bjmsr-379	131	7	culled	cull	VERB
bjmsr-379	131	8	from	from	ADP
bjmsr-379	131	9	adeniran	adeniran	NOUN
bjmsr-379	131	10	and	and	CCONJ
bjmsr-379	131	11	kanyio	kanyio	NOUN
bjmsr-379	131	12	,	,	PUNCT
bjmsr-379	131	13	2019	2019	NUM
bjmsr-379	131	14	)	)	PUNCT
bjmsr-379	131	15	3	3	NUM
bjmsr-379	131	16	.	.	NOUN
bjmsr-379	131	17	results	result	NOUN
bjmsr-379	131	18	and	and	CCONJ
bjmsr-379	131	19	discussion	discussion	NOUN
bjmsr-379	131	20	3.1	3.1	NUM
bjmsr-379	131	21	.	.	PUNCT
bjmsr-379	132	1	traffic	traffic	NOUN
bjmsr-379	132	2	survey	survey	NOUN
bjmsr-379	132	3	3.1.1	3.1.1	NUM
bjmsr-379	132	4	stopping	stopping	NOUN
bjmsr-379	132	5	time	time	NOUN
bjmsr-379	132	6	of	of	ADP
bjmsr-379	132	7	shuttle	shuttle	NOUN
bjmsr-379	132	8	bus	bus	NOUN
bjmsr-379	132	9	stopping	stopping	NOUN
bjmsr-379	132	10	time	time	NOUN
bjmsr-379	132	11	refers	refer	VERB
bjmsr-379	132	12	to	to	ADP
bjmsr-379	132	13	the	the	DET
bjmsr-379	132	14	total	total	ADJ
bjmsr-379	132	15	time	time	NOUN
bjmsr-379	132	16	duration	duration	NOUN
bjmsr-379	132	17	the	the	DET
bjmsr-379	132	18	shuttle	shuttle	NOUN
bjmsr-379	132	19	bus	bus	NOUN
bjmsr-379	132	20	spends	spend	VERB
bjmsr-379	132	21	at	at	ADP
bjmsr-379	132	22	the	the	DET
bjmsr-379	132	23	bus	bus	NOUN
bjmsr-379	132	24	stop	stop	NOUN
bjmsr-379	132	25	.	.	PUNCT
bjmsr-379	133	1	the	the	DET
bjmsr-379	133	2	stopping	stopping	NOUN
bjmsr-379	133	3	time	time	NOUN
bjmsr-379	133	4	is	be	AUX
bjmsr-379	133	5	made	make	VERB
bjmsr-379	133	6	up	up	ADP
bjmsr-379	133	7	of	of	ADP
bjmsr-379	133	8	:	:	PUNCT
bjmsr-379	133	9	a	a	X
bjmsr-379	133	10	)	)	PUNCT
bjmsr-379	133	11	the	the	DET
bjmsr-379	133	12	boarding	boarding	NOUN
bjmsr-379	133	13	stop	stop	VERB
bjmsr-379	133	14	time	time	NOUN
bjmsr-379	133	15	“	"	PUNCT
bjmsr-379	133	16	a	a	PRON
bjmsr-379	133	17	”	"	PUNCT
bjmsr-379	133	18	:	:	PUNCT
bjmsr-379	133	19	this	this	PRON
bjmsr-379	133	20	is	be	AUX
bjmsr-379	133	21	also	also	ADV
bjmsr-379	133	22	made	make	VERB
bjmsr-379	133	23	up	up	ADP
bjmsr-379	133	24	of	of	ADP
bjmsr-379	133	25	the	the	DET
bjmsr-379	133	26	time	time	NOUN
bjmsr-379	133	27	taken	take	VERB
bjmsr-379	133	28	to	to	PART
bjmsr-379	133	29	close	close	VERB
bjmsr-379	133	30	the	the	DET
bjmsr-379	133	31	door	door	NOUN
bjmsr-379	133	32	=	=	NOUN
bjmsr-379	133	33	12	12	NUM
bjmsr-379	133	34	seconds	second	NOUN
bjmsr-379	133	35	;	;	PUNCT
bjmsr-379	133	36	time	time	NOUN
bjmsr-379	133	37	taken	take	VERB
bjmsr-379	133	38	by	by	ADP
bjmsr-379	133	39	the	the	DET
bjmsr-379	133	40	driver	driver	NOUN
bjmsr-379	133	41	to	to	PART
bjmsr-379	133	42	check	check	VERB
bjmsr-379	133	43	the	the	DET
bjmsr-379	133	44	traffic	traffic	NOUN
bjmsr-379	133	45	before	before	ADP
bjmsr-379	133	46	take	take	NOUN
bjmsr-379	133	47	-	-	PUNCT
bjmsr-379	133	48	off	off	ADP
bjmsr-379	133	49	=	=	SYM
bjmsr-379	133	50	5	5	NUM
bjmsr-379	133	51	seconds	second	NOUN
bjmsr-379	133	52	;	;	PUNCT
bjmsr-379	133	53	and	and	CCONJ
bjmsr-379	133	54	time	time	NOUN
bjmsr-379	133	55	taken	take	VERB
bjmsr-379	133	56	to	to	PART
bjmsr-379	133	57	park	park	VERB
bjmsr-379	133	58	the	the	DET
bjmsr-379	133	59	bus	bus	NOUN
bjmsr-379	133	60	and	and	CCONJ
bjmsr-379	133	61	open	open	VERB
bjmsr-379	133	62	the	the	DET
bjmsr-379	133	63	bus	bus	NOUN
bjmsr-379	133	64	for	for	ADP
bjmsr-379	133	65	commuters	commuter	NOUN
bjmsr-379	133	66	=	=	SYM
bjmsr-379	133	67	5	5	NUM
bjmsr-379	133	68	seconds	second	NOUN
bjmsr-379	133	69	.	.	PUNCT
bjmsr-379	134	1	a	a	DET
bjmsr-379	134	2	=	=	X
bjmsr-379	134	3	(	(	PUNCT
bjmsr-379	134	4	12	12	NUM
bjmsr-379	134	5	+	+	NOUN
bjmsr-379	134	6	5	5	NUM
bjmsr-379	134	7	+	+	NOUN
bjmsr-379	134	8	5	5	NUM
bjmsr-379	134	9	)	)	PUNCT
bjmsr-379	134	10	=	=	SYM
bjmsr-379	134	11	22	22	NUM
bjmsr-379	134	12	seconds	second	NOUN
bjmsr-379	134	13	b	b	X
bjmsr-379	134	14	)	)	PUNCT
bjmsr-379	134	15	the	the	DET
bjmsr-379	134	16	average	average	ADJ
bjmsr-379	134	17	boarding	boarding	NOUN
bjmsr-379	134	18	time	time	NOUN
bjmsr-379	134	19	per	per	ADP
bjmsr-379	134	20	passenger	passenger	NOUN
bjmsr-379	134	21	=	=	PUNCT
bjmsr-379	134	22	“	"	PUNCT
bjmsr-379	134	23	b1	b1	NOUN
bjmsr-379	134	24	”	"	PUNCT
bjmsr-379	134	25	=	=	NUM
bjmsr-379	134	26	17	17	NUM
bjmsr-379	134	27	seconds	second	NOUN
bjmsr-379	134	28	c	c	NOUN
bjmsr-379	134	29	)	)	PUNCT
bjmsr-379	134	30	number	number	NOUN
bjmsr-379	134	31	of	of	ADP
bjmsr-379	134	32	passengers	passenger	NOUN
bjmsr-379	134	33	boarding	boarding	NOUN
bjmsr-379	134	34	=	=	SYM
bjmsr-379	134	35	n1	n1	NOUN
bjmsr-379	134	36	=	=	SYM
bjmsr-379	134	37	18	18	NUM
bjmsr-379	134	38	passengers	passenger	NOUN
bjmsr-379	134	39	.	.	PUNCT
bjmsr-379	135	1	copyright	copyright	NOUN
bjmsr-379	135	2	©	©	PROPN
bjmsr-379	135	3	cc	cc	PROPN
bjmsr-379	135	4	-	-	PUNCT
bjmsr-379	135	5	by	by	ADP
bjmsr-379	135	6	-	-	PUNCT
bjmsr-379	135	7	nc	nc	PROPN
bjmsr-379	135	8	2019	2019	NUM
bjmsr-379	135	9	,	,	PUNCT
bjmsr-379	135	10	bjmsr	bjmsr	PROPN
bjmsr-379	135	11	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-379	135	12	bangladesh	bangladesh	PROPN
bjmsr-379	135	13	journal	journal	PROPN
bjmsr-379	135	14	of	of	ADP
bjmsr-379	135	15	multidisciplinary	multidisciplinary	ADJ
bjmsr-379	135	16	scientific	scientific	ADJ
bjmsr-379	135	17	research	research	NOUN
bjmsr-379	135	18	vol	vol	NOUN
bjmsr-379	135	19	.	.	PROPN
bjmsr-379	136	1	1	1	NUM
bjmsr-379	136	2	,	,	PUNCT
bjmsr-379	136	3	no	no	INTJ
bjmsr-379	136	4	.	.	NOUN
bjmsr-379	136	5	2	2	NUM
bjmsr-379	136	6	;	;	PUNCT
bjmsr-379	136	7	2019	2019	NUM
bjmsr-379	136	8	52	52	NUM
bjmsr-379	136	9	mathematically	mathematically	ADV
bjmsr-379	136	10	,	,	PUNCT
bjmsr-379	136	11	stopping	stop	VERB
bjmsr-379	136	12	time	time	NOUN
bjmsr-379	136	13	t	t	PROPN
bjmsr-379	136	14	=	=	PUNCT
bjmsr-379	136	15	a	a	DET
bjmsr-379	136	16	+	+	NUM
bjmsr-379	136	17	b1	b1	NOUN
bjmsr-379	136	18	*	*	SYM
bjmsr-379	136	19	n1	n1	ADJ
bjmsr-379	136	20	stopping	stopping	NOUN
bjmsr-379	136	21	time	time	NOUN
bjmsr-379	136	22	=	=	PUNCT
bjmsr-379	136	23	(	(	PUNCT
bjmsr-379	136	24	22	22	NUM
bjmsr-379	136	25	+	+	CCONJ
bjmsr-379	136	26	(	(	PUNCT
bjmsr-379	136	27	17	17	NUM
bjmsr-379	136	28	*	*	NUM
bjmsr-379	136	29	18	18	NUM
bjmsr-379	136	30	)	)	PUNCT
bjmsr-379	136	31	)	)	PUNCT
bjmsr-379	137	1	=	=	PUNCT
bjmsr-379	137	2	(	(	PUNCT
bjmsr-379	137	3	22	22	NUM
bjmsr-379	137	4	+	+	NOUN
bjmsr-379	137	5	306	306	NUM
bjmsr-379	137	6	)	)	PUNCT
bjmsr-379	137	7	=	=	SYM
bjmsr-379	137	8	328	328	NUM
bjmsr-379	137	9	seconds	second	NOUN
bjmsr-379	137	10	stopping	stop	VERB
bjmsr-379	137	11	time	time	NOUN
bjmsr-379	137	12	=	=	SYM
bjmsr-379	137	13	5.47	5.47	NUM
bjmsr-379	137	14	minutes	minute	NOUN
bjmsr-379	137	15	3.2	3.2	NUM
bjmsr-379	137	16	waiting	waiting	NOUN
bjmsr-379	137	17	time	time	NOUN
bjmsr-379	137	18	this	this	PRON
bjmsr-379	137	19	is	be	AUX
bjmsr-379	137	20	the	the	DET
bjmsr-379	137	21	length	length	NOUN
bjmsr-379	137	22	of	of	ADP
bjmsr-379	137	23	time	time	NOUN
bjmsr-379	137	24	spent	spend	VERB
bjmsr-379	137	25	by	by	ADP
bjmsr-379	137	26	the	the	DET
bjmsr-379	137	27	passengers	passenger	NOUN
bjmsr-379	137	28	at	at	ADP
bjmsr-379	137	29	the	the	DET
bjmsr-379	137	30	bus	bus	NOUN
bjmsr-379	137	31	stop	stop	NOUN
bjmsr-379	137	32	before	before	ADP
bjmsr-379	137	33	boarding	board	VERB
bjmsr-379	137	34	a	a	DET
bjmsr-379	137	35	bus	bus	NOUN
bjmsr-379	137	36	.	.	PUNCT
bjmsr-379	138	1	it	it	PRON
bjmsr-379	138	2	is	be	AUX
bjmsr-379	138	3	also	also	ADV
bjmsr-379	138	4	referred	refer	VERB
bjmsr-379	138	5	to	to	ADP
bjmsr-379	138	6	as	as	ADP
bjmsr-379	138	7	delay	delay	NOUN
bjmsr-379	138	8	.	.	PUNCT
bjmsr-379	139	1	the	the	DET
bjmsr-379	139	2	queuing	queue	VERB
bjmsr-379	139	3	theory	theory	NOUN
bjmsr-379	139	4	is	be	AUX
bjmsr-379	139	5	employed	employ	VERB
bjmsr-379	139	6	in	in	ADP
bjmsr-379	139	7	this	this	DET
bjmsr-379	139	8	study	study	NOUN
bjmsr-379	139	9	.	.	PUNCT
bjmsr-379	140	1	a	a	DET
bjmsr-379	140	2	)	)	PUNCT
bjmsr-379	140	3	average	average	ADJ
bjmsr-379	140	4	arrival	arrival	NOUN
bjmsr-379	140	5	rate	rate	NOUN
bjmsr-379	140	6	(	(	PUNCT
bjmsr-379	140	7	λ	λ	NOUN
bjmsr-379	140	8	)	)	PUNCT
bjmsr-379	140	9	=	=	SYM
bjmsr-379	140	10	226	226	NUM
bjmsr-379	140	11	passengers	passenger	NOUN
bjmsr-379	140	12	/	/	SYM
bjmsr-379	140	13	hour	hour	NOUN
bjmsr-379	140	14	λ	λ	X
bjmsr-379	140	15	=	=	NOUN
bjmsr-379	140	16	226	226	NUM
bjmsr-379	140	17	3600	3600	NUM
bjmsr-379	140	18	=	=	SYM
bjmsr-379	140	19	0.0628	0.0628	NUM
bjmsr-379	140	20	b	b	X
bjmsr-379	140	21	)	)	PUNCT
bjmsr-379	140	22	average	average	ADJ
bjmsr-379	140	23	service	service	NOUN
bjmsr-379	140	24	rate	rate	NOUN
bjmsr-379	140	25	(	(	PUNCT
bjmsr-379	140	26	μ	μ	NOUN
bjmsr-379	140	27	)	)	PUNCT
bjmsr-379	140	28	=	=	SYM
bjmsr-379	140	29	243	243	NUM
bjmsr-379	140	30	passengers	passenger	NOUN
bjmsr-379	140	31	/	/	SYM
bjmsr-379	140	32	hour	hour	NOUN
bjmsr-379	140	33	μ	μ	NOUN
bjmsr-379	140	34	=	=	PROPN
bjmsr-379	140	35	243	243	NUM
bjmsr-379	140	36	3600	3600	NUM
bjmsr-379	140	37	=	=	PUNCT
bjmsr-379	140	38	0.0675	0.0675	NUM
bjmsr-379	140	39	c	c	NOUN
bjmsr-379	140	40	)	)	PUNCT
bjmsr-379	140	41	average	average	ADJ
bjmsr-379	140	42	interval	interval	NOUN
bjmsr-379	140	43	between	between	ADP
bjmsr-379	140	44	arrival	arrival	NOUN
bjmsr-379	140	45	=	=	SYM
bjmsr-379	140	46	1	1	NUM
bjmsr-379	140	47	λ	λ	NOUN
bjmsr-379	140	48	=	=	NOUN
bjmsr-379	140	49	1	1	NUM
bjmsr-379	140	50	0.0628	0.0628	NUM
bjmsr-379	140	51	=	=	NOUN
bjmsr-379	140	52	15.924	15.924	NUM
bjmsr-379	140	53	seconds	second	NOUN
bjmsr-379	140	54	d	d	NOUN
bjmsr-379	140	55	)	)	PUNCT
bjmsr-379	140	56	average	average	ADJ
bjmsr-379	140	57	interval	interval	NOUN
bjmsr-379	140	58	between	between	ADP
bjmsr-379	140	59	service	service	NOUN
bjmsr-379	140	60	rate	rate	NOUN
bjmsr-379	140	61	=	=	NOUN
bjmsr-379	140	62	1	1	NUM
bjmsr-379	140	63	μ	μ	NOUN
bjmsr-379	140	64	=	=	SYM
bjmsr-379	140	65	1	1	NUM
bjmsr-379	140	66	0.0675	0.0675	NUM
bjmsr-379	140	67	=	=	SYM
bjmsr-379	140	68	14.815	14.815	NUM
bjmsr-379	140	69	seconds	second	NOUN
bjmsr-379	140	70	e	e	NOUN
bjmsr-379	140	71	)	)	PUNCT
bjmsr-379	140	72	average	average	ADJ
bjmsr-379	140	73	queue	queue	NOUN
bjmsr-379	140	74	length	length	NOUN
bjmsr-379	140	75	=	=	PROPN
bjmsr-379	140	76	𝜆2	𝜆2	NOUN
bjmsr-379	140	77	𝜇(𝜇−𝜆	𝜇(𝜇−𝜆	NOUN
bjmsr-379	140	78	)	)	PUNCT
bjmsr-379	140	79	=	=	SYM
bjmsr-379	140	80	0.06282	0.06282	NUM
bjmsr-379	140	81	0.0675(0.0675−0.0628	0.0675(0.0675−0.0628	NUM
bjmsr-379	140	82	)	)	PUNCT
bjmsr-379	140	83	=	=	NOUN
bjmsr-379	141	1	=	=	PUNCT
bjmsr-379	141	2	0.0039	0.0039	NUM
bjmsr-379	141	3	0.00032	0.00032	NUM
bjmsr-379	141	4	=	=	SYM
bjmsr-379	141	5	12.19	12.19	NUM
bjmsr-379	141	6	passengers	passenger	NOUN
bjmsr-379	141	7	f	f	NOUN
bjmsr-379	141	8	)	)	PUNCT
bjmsr-379	141	9	average	average	ADJ
bjmsr-379	141	10	waiting	waiting	NOUN
bjmsr-379	141	11	time	time	NOUN
bjmsr-379	141	12	in	in	ADP
bjmsr-379	141	13	the	the	DET
bjmsr-379	141	14	queue	queue	NOUN
bjmsr-379	141	15	=	=	SYM
bjmsr-379	141	16	λ	λ	X
bjmsr-379	141	17	𝜇(𝜇−𝜆	𝜇(𝜇−𝜆	NOUN
bjmsr-379	141	18	)	)	PUNCT
bjmsr-379	141	19	=	=	SYM
bjmsr-379	141	20	0.0628	0.0628	NUM
bjmsr-379	141	21	0.0675(0.0675−0.0628	0.0675(0.0675−0.0628	NUM
bjmsr-379	141	22	)	)	PUNCT
bjmsr-379	142	1	=	=	PUNCT
bjmsr-379	142	2	=	=	SYM
bjmsr-379	143	1	0.0628	0.0628	NUM
bjmsr-379	143	2	0.00032	0.00032	NUM
bjmsr-379	143	3	=	=	SYM
bjmsr-379	143	4	196.25	196.25	NUM
bjmsr-379	143	5	seconds	second	NOUN
bjmsr-379	143	6	=	=	SYM
bjmsr-379	143	7	3.27	3.27	NUM
bjmsr-379	143	8	minutes	minute	NOUN
bjmsr-379	143	9	g	g	NOUN
bjmsr-379	143	10	)	)	PUNCT
bjmsr-379	143	11	average	average	ADJ
bjmsr-379	143	12	time	time	NOUN
bjmsr-379	143	13	spent	spend	VERB
bjmsr-379	143	14	in	in	ADP
bjmsr-379	143	15	the	the	DET
bjmsr-379	143	16	system	system	NOUN
bjmsr-379	143	17	(	(	PUNCT
bjmsr-379	143	18	bus	bus	NOUN
bjmsr-379	143	19	stop	stop	NOUN
bjmsr-379	143	20	)	)	PUNCT
bjmsr-379	143	21	=	=	SYM
bjmsr-379	143	22	1	1	NUM
bjmsr-379	143	23	μ−λ	μ−λ	NOUN
bjmsr-379	143	24	=	=	SYM
bjmsr-379	143	25	1	1	NUM
bjmsr-379	144	1	0.0675	0.0675	NUM
bjmsr-379	144	2	−	−	NUM
bjmsr-379	144	3	0.0628	0.0628	NUM
bjmsr-379	145	1	=	=	SYM
bjmsr-379	145	2	212.76	212.76	NUM
bjmsr-379	145	3	seconds	second	NOUN
bjmsr-379	145	4	=	=	SYM
bjmsr-379	145	5	3.55	3.55	NUM
bjmsr-379	145	6	minutes	minute	NOUN
bjmsr-379	145	7	h	h	NOUN
bjmsr-379	145	8	)	)	PUNCT
bjmsr-379	145	9	efficiency	efficiency	NOUN
bjmsr-379	145	10	of	of	ADP
bjmsr-379	145	11	shuttle	shuttle	NOUN
bjmsr-379	145	12	bus	bus	NOUN
bjmsr-379	145	13	operation	operation	NOUN
bjmsr-379	145	14	based	base	VERB
bjmsr-379	145	15	on	on	ADP
bjmsr-379	145	16	bus	bus	NOUN
bjmsr-379	145	17	stop	stop	NOUN
bjmsr-379	145	18	utilization	utilization	NOUN
bjmsr-379	145	19	(	(	PUNCT
bjmsr-379	145	20	r	r	NOUN
bjmsr-379	145	21	)	)	PUNCT
bjmsr-379	145	22	=	=	SYM
bjmsr-379	146	1	𝜆	𝜆	PRON
bjmsr-379	146	2	𝜇	𝜇	ADP
bjmsr-379	146	3	r	r	NOUN
bjmsr-379	146	4	=	=	SYM
bjmsr-379	146	5	0.0628	0.0628	NUM
bjmsr-379	146	6	0.0675	0.0675	NUM
bjmsr-379	146	7	=	=	SYM
bjmsr-379	147	1	0.93	0.93	NUM
bjmsr-379	147	2	it	it	PRON
bjmsr-379	147	3	is	be	AUX
bjmsr-379	147	4	important	important	ADJ
bjmsr-379	147	5	to	to	PART
bjmsr-379	147	6	note	note	VERB
bjmsr-379	147	7	that	that	SCONJ
bjmsr-379	147	8	the	the	DET
bjmsr-379	147	9	utilization	utilization	NOUN
bjmsr-379	147	10	factor	factor	NOUN
bjmsr-379	147	11	is	be	AUX
bjmsr-379	147	12	less	less	ADJ
bjmsr-379	147	13	than	than	ADP
bjmsr-379	147	14	1(r	1(r	NUM
bjmsr-379	147	15	<	<	X
bjmsr-379	147	16	1	1	NUM
bjmsr-379	147	17	)	)	PUNCT
bjmsr-379	147	18	,	,	PUNCT
bjmsr-379	147	19	hence	hence	ADV
bjmsr-379	147	20	the	the	DET
bjmsr-379	147	21	performance	performance	NOUN
bjmsr-379	147	22	of	of	ADP
bjmsr-379	147	23	university	university	NOUN
bjmsr-379	147	24	transport	transport	NOUN
bjmsr-379	147	25	bus	bus	NOUN
bjmsr-379	147	26	shuttle	shuttle	NOUN
bjmsr-379	147	27	is	be	AUX
bjmsr-379	147	28	93	93	NUM
bjmsr-379	147	29	percent	percent	NOUN
bjmsr-379	147	30	which	which	PRON
bjmsr-379	147	31	indicates	indicate	VERB
bjmsr-379	147	32	a	a	DET
bjmsr-379	147	33	very	very	ADV
bjmsr-379	147	34	good	good	ADJ
bjmsr-379	147	35	performance	performance	NOUN
bjmsr-379	147	36	such	such	ADJ
bjmsr-379	147	37	that	that	SCONJ
bjmsr-379	147	38	the	the	DET
bjmsr-379	147	39	supply	supply	NOUN
bjmsr-379	147	40	of	of	ADP
bjmsr-379	147	41	shuttle	shuttle	NOUN
bjmsr-379	147	42	bus	bus	NOUN
bjmsr-379	147	43	in	in	ADP
bjmsr-379	147	44	futa	futa	PROPN
bjmsr-379	147	45	is	be	AUX
bjmsr-379	147	46	capable	capable	ADJ
bjmsr-379	147	47	of	of	ADP
bjmsr-379	147	48	meeting	meet	VERB
bjmsr-379	147	49	the	the	DET
bjmsr-379	147	50	demand	demand	NOUN
bjmsr-379	147	51	.	.	PUNCT
bjmsr-379	148	1	4	4	X
bjmsr-379	148	2	.	.	X
bjmsr-379	148	3	conclusion	conclusion	NOUN
bjmsr-379	148	4	and	and	CCONJ
bjmsr-379	148	5	recommendation	recommendation	NOUN
bjmsr-379	148	6	this	this	DET
bjmsr-379	148	7	study	study	NOUN
bjmsr-379	148	8	has	have	AUX
bjmsr-379	148	9	examined	examine	VERB
bjmsr-379	148	10	the	the	DET
bjmsr-379	148	11	performance	performance	NOUN
bjmsr-379	148	12	of	of	ADP
bjmsr-379	148	13	university	university	NOUN
bjmsr-379	148	14	transport	transport	NOUN
bjmsr-379	148	15	bus	bus	NOUN
bjmsr-379	148	16	shuttle	shuttle	NOUN
bjmsr-379	148	17	based	base	VERB
bjmsr-379	148	18	on	on	ADP
bjmsr-379	148	19	utilization	utilization	NOUN
bjmsr-379	148	20	using	use	VERB
bjmsr-379	148	21	a	a	DET
bjmsr-379	148	22	single	single	ADJ
bjmsr-379	148	23	-	-	PUNCT
bjmsr-379	148	24	server	server	NOUN
bjmsr-379	148	25	queue	queue	NOUN
bjmsr-379	148	26	system	system	NOUN
bjmsr-379	148	27	which	which	PRON
bjmsr-379	148	28	occur	occur	VERB
bjmsr-379	148	29	if	if	SCONJ
bjmsr-379	148	30	arrival	arrival	NOUN
bjmsr-379	148	31	and	and	CCONJ
bjmsr-379	148	32	service	service	NOUN
bjmsr-379	148	33	rate	rate	NOUN
bjmsr-379	148	34	is	be	AUX
bjmsr-379	148	35	poisson	poisson	NOUN
bjmsr-379	148	36	distributed	distribute	VERB
bjmsr-379	148	37	(	(	PUNCT
bjmsr-379	148	38	single	single	ADJ
bjmsr-379	148	39	queue	queue	NOUN
bjmsr-379	148	40	)	)	PUNCT
bjmsr-379	148	41	(	(	PUNCT
bjmsr-379	148	42	m	m	NOUN
bjmsr-379	148	43	/	/	SYM
bjmsr-379	148	44	m/1	m/1	NOUN
bjmsr-379	148	45	)	)	PUNCT
bjmsr-379	148	46	queue	queue	NOUN
bjmsr-379	148	47	.	.	PUNCT
bjmsr-379	149	1	it	it	PRON
bjmsr-379	149	2	is	be	AUX
bjmsr-379	149	3	concluded	conclude	VERB
bjmsr-379	149	4	that	that	SCONJ
bjmsr-379	149	5	the	the	DET
bjmsr-379	149	6	performance	performance	NOUN
bjmsr-379	149	7	of	of	ADP
bjmsr-379	149	8	university	university	NOUN
bjmsr-379	149	9	transport	transport	NOUN
bjmsr-379	149	10	bus	bus	NOUN
bjmsr-379	149	11	shuttle	shuttle	NOUN
bjmsr-379	149	12	is	be	AUX
bjmsr-379	149	13	93	93	NUM
bjmsr-379	149	14	percent	percent	NOUN
bjmsr-379	149	15	which	which	PRON
bjmsr-379	149	16	indicates	indicate	VERB
bjmsr-379	149	17	a	a	DET
bjmsr-379	149	18	very	very	ADV
bjmsr-379	149	19	good	good	ADJ
bjmsr-379	149	20	performance	performance	NOUN
bjmsr-379	149	21	such	such	ADJ
bjmsr-379	149	22	that	that	SCONJ
bjmsr-379	149	23	the	the	DET
bjmsr-379	149	24	supply	supply	NOUN
bjmsr-379	149	25	of	of	ADP
bjmsr-379	149	26	shuttle	shuttle	NOUN
bjmsr-379	149	27	bus	bus	NOUN
bjmsr-379	149	28	in	in	ADP
bjmsr-379	149	29	futa	futa	PROPN
bjmsr-379	149	30	is	be	AUX
bjmsr-379	149	31	capable	capable	ADJ
bjmsr-379	149	32	of	of	ADP
bjmsr-379	149	33	meeting	meet	VERB
bjmsr-379	149	34	the	the	DET
bjmsr-379	149	35	demand	demand	NOUN
bjmsr-379	149	36	.	.	PUNCT
bjmsr-379	150	1	this	this	DET
bjmsr-379	150	2	result	result	NOUN
bjmsr-379	150	3	is	be	AUX
bjmsr-379	150	4	very	very	ADV
bjmsr-379	150	5	close	close	ADJ
bjmsr-379	150	6	to	to	ADP
bjmsr-379	150	7	that	that	PRON
bjmsr-379	150	8	of	of	ADP
bjmsr-379	150	9	sidiq	sidiq	ADJ
bjmsr-379	150	10	(	(	PUNCT
bjmsr-379	150	11	2019	2019	NUM
bjmsr-379	150	12	)	)	PUNCT
bjmsr-379	150	13	which	which	PRON
bjmsr-379	150	14	finds	find	VERB
bjmsr-379	150	15	that	that	SCONJ
bjmsr-379	150	16	the	the	DET
bjmsr-379	150	17	performance	performance	NOUN
bjmsr-379	150	18	of	of	ADP
bjmsr-379	150	19	university	university	NOUN
bjmsr-379	150	20	transport	transport	NOUN
bjmsr-379	150	21	bus	bus	NOUN
bjmsr-379	150	22	shuttle	shuttle	NOUN
bjmsr-379	150	23	is	be	AUX
bjmsr-379	150	24	96.6	96.6	NUM
bjmsr-379	150	25	percent	percent	NOUN
bjmsr-379	150	26	.	.	PUNCT
bjmsr-379	151	1	this	this	DET
bjmsr-379	151	2	study	study	NOUN
bjmsr-379	151	3	can	can	AUX
bjmsr-379	151	4	be	be	AUX
bjmsr-379	151	5	improved	improve	VERB
bjmsr-379	151	6	upon	upon	SCONJ
bjmsr-379	151	7	by	by	ADP
bjmsr-379	151	8	examining	examine	VERB
bjmsr-379	151	9	the	the	DET
bjmsr-379	151	10	peak	peak	NOUN
bjmsr-379	151	11	and	and	CCONJ
bjmsr-379	151	12	off	off	ADP
bjmsr-379	151	13	-	-	PUNCT
bjmsr-379	151	14	peak	peak	NOUN
bjmsr-379	151	15	period	period	NOUN
bjmsr-379	151	16	of	of	ADP
bjmsr-379	151	17	traffic	traffic	NOUN
bjmsr-379	151	18	in	in	ADP
bjmsr-379	151	19	the	the	DET
bjmsr-379	151	20	two	two	NUM
bjmsr-379	151	21	major	major	ADJ
bjmsr-379	151	22	corridors	corridor	NOUN
bjmsr-379	151	23	(	(	PUNCT
bjmsr-379	151	24	north	north	NOUN
bjmsr-379	151	25	gate	gate	NOUN
bjmsr-379	151	26	and	and	CCONJ
bjmsr-379	151	27	south	south	PROPN
bjmsr-379	151	28	gate	gate	NOUN
bjmsr-379	151	29	)	)	PUNCT
bjmsr-379	151	30	of	of	ADP
bjmsr-379	151	31	futa	futa	PROPN
bjmsr-379	151	32	,	,	PUNCT
bjmsr-379	151	33	the	the	DET
bjmsr-379	151	34	economic	economic	ADJ
bjmsr-379	151	35	cost	cost	NOUN
bjmsr-379	151	36	of	of	ADP
bjmsr-379	151	37	operating	operate	VERB
bjmsr-379	151	38	bus	bus	NOUN
bjmsr-379	151	39	shuttle	shuttle	NOUN
bjmsr-379	151	40	services	service	NOUN
bjmsr-379	151	41	can	can	AUX
bjmsr-379	151	42	also	also	ADV
bjmsr-379	151	43	be	be	AUX
bjmsr-379	151	44	examined	examine	VERB
bjmsr-379	151	45	.	.	PUNCT
bjmsr-379	152	1	references	reference	NOUN
bjmsr-379	152	2	adan	adan	PROPN
bjmsr-379	152	3	,	,	PUNCT
bjmsr-379	152	4	i.	i.	PROPN
bjmsr-379	152	5	,	,	PUNCT
bjmsr-379	152	6	and	and	CCONJ
bjmsr-379	152	7	resing	resing	PROPN
bjmsr-379	152	8	,	,	PUNCT
bjmsr-379	152	9	j.	j.	PROPN
bjmsr-379	152	10	(	(	PUNCT
bjmsr-379	152	11	2015	2015	NUM
bjmsr-379	152	12	)	)	PUNCT
bjmsr-379	152	13	.	.	PUNCT
bjmsr-379	153	1	queuing	queue	VERB
bjmsr-379	153	2	systems	system	NOUN
bjmsr-379	153	3	.	.	PUNCT
bjmsr-379	154	1	department	department	NOUN
bjmsr-379	154	2	of	of	ADP
bjmsr-379	154	3	mathematics	mathematics	PROPN
bjmsr-379	154	4	and	and	CCONJ
bjmsr-379	154	5	computer	computer	NOUN
bjmsr-379	154	6	science	science	NOUN
bjmsr-379	154	7	,	,	PUNCT
bjmsr-379	154	8	eindhoven	eindhoven	ADJ
bjmsr-379	154	9	university	university	NOUN
bjmsr-379	154	10	of	of	ADP
bjmsr-379	154	11	technology	technology	PROPN
bjmsr-379	154	12	,	,	PUNCT
bjmsr-379	154	13	netherlands	netherlands	PROPN
bjmsr-379	154	14	,	,	PUNCT
bjmsr-379	154	15	2015	2015	NUM
bjmsr-379	154	16	.	.	PUNCT
bjmsr-379	155	1	adanikin	adanikin	PROPN
bjmsr-379	155	2	,	,	PUNCT
bjmsr-379	155	3	a.	a.	NOUN
bjmsr-379	155	4	,	,	PUNCT
bjmsr-379	155	5	olutaiwo	olutaiwo	NOUN
bjmsr-379	155	6	,	,	PUNCT
bjmsr-379	155	7	a.	a.	NOUN
bjmsr-379	155	8	,	,	PUNCT
bjmsr-379	155	9	and	and	CCONJ
bjmsr-379	155	10	obafemi	obafemi	ADV
bjmsr-379	155	11	,	,	PUNCT
bjmsr-379	155	12	t.	t.	PROPN
bjmsr-379	155	13	(	(	PUNCT
bjmsr-379	155	14	2017	2017	NUM
bjmsr-379	155	15	)	)	PUNCT
bjmsr-379	155	16	.	.	PUNCT
bjmsr-379	156	1	performance	performance	NOUN
bjmsr-379	156	2	study	study	NOUN
bjmsr-379	156	3	of	of	ADP
bjmsr-379	156	4	university	university	PROPN
bjmsr-379	156	5	of	of	ADP
bjmsr-379	156	6	ado	ado	PROPN
bjmsr-379	156	7	ekiti	ekiti	PROPN
bjmsr-379	156	8	(	(	PUNCT
bjmsr-379	156	9	unad	unad	PROPN
bjmsr-379	156	10	)	)	PUNCT
bjmsr-379	156	11	transit	transit	NOUN
bjmsr-379	156	12	shuttle	shuttle	NOUN
bjmsr-379	156	13	buses	bus	NOUN
bjmsr-379	156	14	.	.	PUNCT
bjmsr-379	157	1	american	american	PROPN
bjmsr-379	157	2	journal	journal	PROPN
bjmsr-379	157	3	of	of	ADP
bjmsr-379	157	4	traffic	traffic	NOUN
bjmsr-379	157	5	and	and	CCONJ
bjmsr-379	157	6	transportation	transportation	NOUN
bjmsr-379	157	7	engineering	engineering	NOUN
bjmsr-379	157	8	,	,	PUNCT
bjmsr-379	157	9	2(5	2(5	NUM
bjmsr-379	157	10	):	):	PUNCT
bjmsr-379	157	11	67	67	NUM
bjmsr-379	157	12	-	-	SYM
bjmsr-379	157	13	73	73	NUM
bjmsr-379	157	14	doi	doi	NOUN
bjmsr-379	157	15	:	:	PUNCT
bjmsr-379	157	16	10.11648	10.11648	NUM
bjmsr-379	157	17	/	/	SYM
bjmsr-379	157	18	j.ajtte.20170205.12	j.ajtte.20170205.12	PROPN
bjmsr-379	157	19	.	.	PROPN
bjmsr-379	157	20	ademoh	ademoh	PROPN
bjmsr-379	157	21	,	,	PUNCT
bjmsr-379	157	22	n.	n.	PROPN
bjmsr-379	157	23	a.	a.	NOUN
bjmsr-379	157	24	,	,	PUNCT
bjmsr-379	157	25	and	and	CCONJ
bjmsr-379	157	26	anosike	anosike	PROPN
bjmsr-379	157	27	,	,	PUNCT
bjmsr-379	157	28	e.	e.	PROPN
bjmsr-379	157	29	n.	n.	PROPN
bjmsr-379	157	30	(	(	PUNCT
bjmsr-379	157	31	2014	2014	NUM
bjmsr-379	157	32	)	)	PUNCT
bjmsr-379	157	33	.	.	PUNCT
bjmsr-379	158	1	queuing	queue	VERB
bjmsr-379	158	2	modelling	modelling	NOUN
bjmsr-379	158	3	of	of	ADP
bjmsr-379	158	4	air	air	NOUN
bjmsr-379	158	5	transport	transport	NOUN
bjmsr-379	158	6	passengers	passenger	NOUN
bjmsr-379	158	7	of	of	ADP
bjmsr-379	158	8	nnamdi	nnamdi	PROPN
bjmsr-379	158	9	azikiwe	azikiwe	PROPN
bjmsr-379	158	10	international	international	PROPN
bjmsr-379	158	11	airport	airport	PROPN
bjmsr-379	158	12	abuja	abuja	PROPN
bjmsr-379	158	13	,	,	PUNCT
bjmsr-379	158	14	nigeria	nigeria	PROPN
bjmsr-379	158	15	using	use	VERB
bjmsr-379	158	16	multi	multi	NOUN
bjmsr-379	158	17	server	server	NOUN
bjmsr-379	158	18	approach	approach	NOUN
bjmsr-379	158	19	.	.	PUNCT
bjmsr-379	159	1	middle	middle	PROPN
bjmsr-379	159	2	east	east	PROPN
bjmsr-379	159	3	journal	journal	PROPN
bjmsr-379	159	4	of	of	ADP
bjmsr-379	159	5	scientific	scientific	ADJ
bjmsr-379	159	6	research	research	NOUN
bjmsr-379	159	7	21	21	NUM
bjmsr-379	159	8	(	(	PUNCT
bjmsr-379	159	9	12	12	NUM
bjmsr-379	159	10	):	):	PUNCT
bjmsr-379	159	11	2326	2326	NUM
bjmsr-379	159	12	-	-	SYM
bjmsr-379	159	13	2338	2338	NUM
bjmsr-379	159	14	,	,	PUNCT
bjmsr-379	159	15	2014	2014	NUM
bjmsr-379	159	16	doi	doi	NOUN
bjmsr-379	159	17	:	:	PUNCT
bjmsr-379	159	18	10.5829	10.5829	NUM
bjmsr-379	159	19	/	/	SYM
bjmsr-379	159	20	idosi.mejsr.2014.21.12.21807	idosi.mejsr.2014.21.12.21807	NOUN
bjmsr-379	159	21	.	.	PROPN
bjmsr-379	159	22	adeniran	adeniran	PROPN
bjmsr-379	159	23	,	,	PUNCT
bjmsr-379	159	24	a.	a.	NOUN
bjmsr-379	159	25	o.	o.	PROPN
bjmsr-379	159	26	,	,	PUNCT
bjmsr-379	159	27	and	and	CCONJ
bjmsr-379	159	28	kanyio	kanyio	NOUN
bjmsr-379	159	29	,	,	PUNCT
bjmsr-379	159	30	o.	o.	NOUN
bjmsr-379	159	31	a.	a.	NOUN
bjmsr-379	159	32	(	(	PUNCT
bjmsr-379	159	33	2019	2019	NUM
bjmsr-379	159	34	)	)	PUNCT
bjmsr-379	159	35	.	.	PUNCT
bjmsr-379	160	1	quantitative	quantitative	ADJ
bjmsr-379	160	2	model	model	NOUN
bjmsr-379	160	3	of	of	ADP
bjmsr-379	160	4	single	single	ADJ
bjmsr-379	160	5	-	-	PUNCT
bjmsr-379	160	6	server	server	NOUN
bjmsr-379	160	7	queue	queue	NOUN
bjmsr-379	160	8	system	system	NOUN
bjmsr-379	160	9	.	.	PUNCT
bjmsr-379	161	1	indian	indian	ADJ
bjmsr-379	161	2	journal	journal	PROPN
bjmsr-379	161	3	of	of	ADP
bjmsr-379	161	4	engineering	engineering	NOUN
bjmsr-379	161	5	,	,	PUNCT
bjmsr-379	161	6	16	16	NUM
bjmsr-379	161	7	,	,	PUNCT
bjmsr-379	161	8	177	177	NUM
bjmsr-379	161	9	-	-	SYM
bjmsr-379	161	10	183	183	NUM
bjmsr-379	161	11	.	.	PUNCT
bjmsr-379	162	1	aderamo	aderamo	PROPN
bjmsr-379	162	2	,	,	PUNCT
bjmsr-379	162	3	a.	a.	PROPN
bjmsr-379	162	4	j.	j.	PROPN
bjmsr-379	162	5	(	(	PUNCT
bjmsr-379	162	6	2012	2012	NUM
bjmsr-379	162	7	)	)	PUNCT
bjmsr-379	162	8	.	.	PUNCT
bjmsr-379	163	1	urban	urban	ADJ
bjmsr-379	163	2	transportation	transportation	NOUN
bjmsr-379	163	3	problems	problem	NOUN
bjmsr-379	163	4	and	and	CCONJ
bjmsr-379	163	5	challenges	challenge	NOUN
bjmsr-379	163	6	in	in	ADP
bjmsr-379	163	7	nigeria	nigeria	PROPN
bjmsr-379	163	8	:	:	PUNCT
bjmsr-379	163	9	a	a	DET
bjmsr-379	163	10	planner	planner	NOUN
bjmsr-379	163	11	’s	’s	PART
bjmsr-379	163	12	view	view	NOUN
bjmsr-379	163	13	.	.	PUNCT
bjmsr-379	164	1	prime	prime	ADJ
bjmsr-379	164	2	journals	journal	NOUN
bjmsr-379	164	3	.	.	PUNCT
bjmsr-379	165	1	2(3	2(3	NUM
bjmsr-379	165	2	)	)	PUNCT
bjmsr-379	165	3	,	,	PUNCT
bjmsr-379	165	4	198203	198203	NUM
bjmsr-379	165	5	.	.	PUNCT
bjmsr-379	166	1	copyright	copyright	NOUN
bjmsr-379	166	2	©	©	PROPN
bjmsr-379	166	3	cc	cc	PROPN
bjmsr-379	166	4	-	-	PUNCT
bjmsr-379	166	5	by	by	ADP
bjmsr-379	166	6	-	-	PUNCT
bjmsr-379	166	7	nc	nc	PROPN
bjmsr-379	166	8	2019	2019	NUM
bjmsr-379	166	9	,	,	PUNCT
bjmsr-379	166	10	bjmsr	bjmsr	PROPN
bjmsr-379	166	11	www.cribfb.com/journal/index.php/bjmsr	www.cribfb.com/journal/index.php/bjmsr	X
bjmsr-379	167	1	bangladesh	bangladesh	PROPN
bjmsr-379	167	2	journal	journal	PROPN
bjmsr-379	167	3	of	of	ADP
bjmsr-379	167	4	multidisciplinary	multidisciplinary	ADJ
bjmsr-379	167	5	scientific	scientific	ADJ
bjmsr-379	167	6	research	research	NOUN
bjmsr-379	167	7	vol	vol	NOUN
bjmsr-379	167	8	.	.	PROPN
bjmsr-379	167	9	1	1	NUM
bjmsr-379	167	10	,	,	PUNCT
bjmsr-379	167	11	no	no	INTJ
bjmsr-379	167	12	.	.	NOUN
bjmsr-379	167	13	2	2	NUM
bjmsr-379	167	14	;	;	PUNCT
bjmsr-379	167	15	2019	2019	NUM
bjmsr-379	167	16	53	53	NUM
bjmsr-379	167	17	bastani	bastani	NOUN
bjmsr-379	168	1	p.	p.	NOUN
bjmsr-379	168	2	(	(	PUNCT
bjmsr-379	168	3	2009	2009	NUM
bjmsr-379	168	4	)	)	PUNCT
bjmsr-379	168	5	.	.	PUNCT
bjmsr-379	169	1	a	a	DET
bjmsr-379	169	2	queuing	queue	VERB
bjmsr-379	169	3	model	model	NOUN
bjmsr-379	169	4	of	of	ADP
bjmsr-379	169	5	hospital	hospital	NOUN
bjmsr-379	169	6	congestion	congestion	NOUN
bjmsr-379	169	7	.	.	PUNCT
bjmsr-379	170	1	msc	msc	PROPN
bjmsr-379	170	2	.	.	PROPN
bjmsr-379	170	3	thesis	thesis	NOUN
bjmsr-379	170	4	submitted	submit	VERB
bjmsr-379	170	5	to	to	ADP
bjmsr-379	170	6	department	department	NOUN
bjmsr-379	170	7	of	of	ADP
bjmsr-379	170	8	mathematics	mathematics	PROPN
bjmsr-379	170	9	simon	simon	PROPN
bjmsr-379	170	10	fraser	fraser	PROPN
bjmsr-379	170	11	university	university	PROPN
bjmsr-379	170	12	copper	copper	PROPN
bjmsr-379	170	13	,	,	PUNCT
bjmsr-379	170	14	r.	r.	PROPN
bjmsr-379	170	15	b.	b.	PROPN
bjmsr-379	170	16	(	(	PUNCT
bjmsr-379	170	17	1981	1981	NUM
bjmsr-379	170	18	)	)	PUNCT
bjmsr-379	170	19	.	.	PUNCT
bjmsr-379	171	1	introduction	introduction	NOUN
bjmsr-379	171	2	to	to	ADP
bjmsr-379	171	3	queuing	queue	VERB
bjmsr-379	171	4	theory	theory	NOUN
bjmsr-379	171	5	,	,	PUNCT
bjmsr-379	171	6	2nd	2nd	PROPN
bjmsr-379	171	7	edition	edition	PROPN
bjmsr-379	171	8	north	north	PROPN
bjmsr-379	171	9	holland	holland	PROPN
bjmsr-379	171	10	.	.	PUNCT
bjmsr-379	172	1	gross	gross	PROPN
bjmsr-379	172	2	,	,	PUNCT
bjmsr-379	172	3	d.	d.	PROPN
bjmsr-379	172	4	,	,	PUNCT
bjmsr-379	172	5	and	and	CCONJ
bjmsr-379	172	6	harris	harris	PROPN
bjmsr-379	172	7	,	,	PUNCT
bjmsr-379	172	8	c.	c.	PROPN
bjmsr-379	172	9	m.	m.	NOUN
bjmsr-379	172	10	(	(	PUNCT
bjmsr-379	172	11	1985	1985	NUM
bjmsr-379	172	12	)	)	PUNCT
bjmsr-379	172	13	.	.	PUNCT
bjmsr-379	173	1	fundamentals	fundamental	NOUN
bjmsr-379	173	2	of	of	ADP
bjmsr-379	173	3	queuing	queue	VERB
bjmsr-379	173	4	theory	theory	NOUN
bjmsr-379	173	5	,	,	PUNCT
bjmsr-379	173	6	2nd	2nd	ADJ
bjmsr-379	173	7	ed	ed	NOUN
bjmsr-379	173	8	.	.	PUNCT
bjmsr-379	174	1	john	john	PROPN
bjmsr-379	174	2	wiley	wiley	PROPN
bjmsr-379	174	3	&	&	CCONJ
bjmsr-379	174	4	sons	son	NOUN
bjmsr-379	174	5	:	:	PUNCT
bjmsr-379	174	6	new	new	PROPN
bjmsr-379	174	7	york	york	PROPN
bjmsr-379	174	8	.	.	PUNCT
bjmsr-379	175	1	jain	jain	PROPN
bjmsr-379	175	2	,	,	PUNCT
bjmsr-379	175	3	j.	j.	PROPN
bjmsr-379	175	4	l.	l.	PROPN
bjmsr-379	175	5	,	,	PUNCT
bjmsr-379	175	6	mohanty	mohanty	PROPN
bjmsr-379	175	7	,	,	PUNCT
bjmsr-379	175	8	s.	s.	PROPN
bjmsr-379	175	9	g.	g.	PROPN
bjmsr-379	175	10	,	,	PUNCT
bjmsr-379	175	11	and	and	CCONJ
bjmsr-379	175	12	bohm	bohm	PROPN
bjmsr-379	175	13	,	,	PUNCT
bjmsr-379	175	14	w.	w.	NOUN
bjmsr-379	175	15	(	(	PUNCT
bjmsr-379	175	16	2007	2007	NUM
bjmsr-379	175	17	)	)	PUNCT
bjmsr-379	175	18	.	.	PUNCT
bjmsr-379	176	1	a	a	DET
bjmsr-379	176	2	course	course	NOUN
bjmsr-379	176	3	on	on	ADP
bjmsr-379	176	4	queuing	queuing	NOUN
bjmsr-379	176	5	models	model	NOUN
bjmsr-379	176	6	,	,	PUNCT
bjmsr-379	176	7	statistics	statistic	NOUN
bjmsr-379	176	8	:	:	PUNCT
bjmsr-379	176	9	a	a	DET
bjmsr-379	176	10	series	series	NOUN
bjmsr-379	176	11	of	of	ADP
bjmsr-379	176	12	textbooks	textbook	NOUN
bjmsr-379	176	13	and	and	CCONJ
bjmsr-379	176	14	monographs	monograph	NOUN
bjmsr-379	176	15	,	,	PUNCT
bjmsr-379	176	16	chapman	chapman	PROPN
bjmsr-379	176	17	&	&	CCONJ
bjmsr-379	176	18	hall	hall	PROPN
bjmsr-379	176	19	/	/	SYM
bjmsr-379	176	20	crc	crc	PROPN
bjmsr-379	176	21	,	,	PUNCT
bjmsr-379	176	22	taylor	taylor	PROPN
bjmsr-379	176	23	&	&	CCONJ
bjmsr-379	176	24	francis	francis	PROPN
bjmsr-379	176	25	group	group	PROPN
bjmsr-379	176	26	.	.	PUNCT
bjmsr-379	177	1	sidiq	sidiq	PROPN
bjmsr-379	177	2	,	,	PUNCT
bjmsr-379	177	3	o.	o.	PROPN
bjmsr-379	177	4	ben	ben	PROPN
bjmsr-379	177	5	.	.	PUNCT
bjmsr-379	178	1	(	(	PUNCT
bjmsr-379	178	2	2019	2019	NUM
bjmsr-379	178	3	)	)	PUNCT
bjmsr-379	178	4	.	.	PUNCT
bjmsr-379	179	1	single	single	ADJ
bjmsr-379	179	2	-	-	PUNCT
bjmsr-379	179	3	server	server	NOUN
bjmsr-379	179	4	queue	queue	NOUN
bjmsr-379	179	5	system	system	NOUN
bjmsr-379	179	6	of	of	ADP
bjmsr-379	179	7	shuttle	shuttle	NOUN
bjmsr-379	179	8	bus	bus	NOUN
bjmsr-379	179	9	performance	performance	NOUN
bjmsr-379	179	10	:	:	PUNCT
bjmsr-379	179	11	federal	federal	ADJ
bjmsr-379	179	12	university	university	PROPN
bjmsr-379	179	13	of	of	ADP
bjmsr-379	179	14	technology	technology	NOUN
bjmsr-379	179	15	akure	akure	NOUN
bjmsr-379	179	16	as	as	ADP
bjmsr-379	179	17	case	case	NOUN
bjmsr-379	179	18	study	study	NOUN
bjmsr-379	179	19	.	.	PUNCT
bjmsr-379	180	1	american	american	PROPN
bjmsr-379	180	2	international	international	PROPN
bjmsr-379	180	3	journal	journal	PROPN
bjmsr-379	180	4	of	of	ADP
bjmsr-379	180	5	multidisciplinary	multidisciplinary	ADJ
bjmsr-379	180	6	scientific	scientific	ADJ
bjmsr-379	180	7	research	research	NOUN
bjmsr-379	180	8	,	,	PUNCT
bjmsr-379	180	9	5(3	5(3	NUM
bjmsr-379	180	10	)	)	PUNCT
bjmsr-379	180	11	,	,	PUNCT
bjmsr-379	180	12	9	9	NUM
bjmsr-379	180	13	-	-	SYM
bjmsr-379	180	14	14	14	NUM
bjmsr-379	180	15	sztrik	sztrik	NOUN
bjmsr-379	180	16	,	,	PUNCT
bjmsr-379	180	17	j.	j.	PROPN
bjmsr-379	180	18	(	(	PUNCT
bjmsr-379	180	19	2012	2012	NUM
bjmsr-379	180	20	)	)	PUNCT
bjmsr-379	180	21	.	.	PUNCT
bjmsr-379	181	1	basic	basic	ADJ
bjmsr-379	181	2	queuing	queuing	NOUN
bjmsr-379	181	3	theory	theory	NOUN
bjmsr-379	181	4	.	.	PUNCT
bjmsr-379	182	1	university	university	NOUN
bjmsr-379	182	2	of	of	ADP
bjmsr-379	182	3	debrecen	debrecen	PROPN
bjmsr-379	182	4	,	,	PUNCT
bjmsr-379	182	5	faculty	faculty	NOUN
bjmsr-379	182	6	of	of	ADP
bjmsr-379	182	7	informatics	informatics	PROPN
bjmsr-379	182	8	.	.	PUNCT
bjmsr-379	183	1	trani	trani	PROPN
bjmsr-379	183	2	,	,	PUNCT
bjmsr-379	183	3	a.	a.	PROPN
bjmsr-379	183	4	,	,	PUNCT
bjmsr-379	183	5	a.	a.	NOUN
bjmsr-379	183	6	(	(	PUNCT
bjmsr-379	183	7	2011	2011	NUM
bjmsr-379	183	8	)	)	PUNCT
bjmsr-379	183	9	.	.	PUNCT
bjmsr-379	184	1	introduction	introduction	NOUN
bjmsr-379	184	2	to	to	ADP
bjmsr-379	184	3	transportation	transportation	NOUN
bjmsr-379	184	4	engineering	engineering	NOUN
bjmsr-379	184	5	,	,	PUNCT
bjmsr-379	184	6	introduction	introduction	NOUN
bjmsr-379	184	7	to	to	ADP
bjmsr-379	184	8	queuing	queue	VERB
bjmsr-379	184	9	theory	theory	NOUN
bjmsr-379	184	10	.	.	PUNCT
bjmsr-379	185	1	virginia	virginia	PROPN
bjmsr-379	185	2	polytechnic	polytechnic	PROPN
bjmsr-379	185	3	institute	institute	PROPN
bjmsr-379	185	4	and	and	CCONJ
bjmsr-379	185	5	state	state	PROPN
bjmsr-379	185	6	university	university	PROPN
bjmsr-379	185	7	,	,	PUNCT
bjmsr-379	185	8	us	we	PRON
bjmsr-379	185	9	,	,	PUNCT
bjmsr-379	185	10	pp	pp	CCONJ
bjmsr-379	185	11	:	:	PUNCT
bjmsr-379	185	12	2	2	NUM
bjmsr-379	185	13	-	-	SYM
bjmsr-379	185	14	46	46	NUM
bjmsr-379	185	15	.	.	PUNCT
bjmsr-379	186	1	copyrights	copyright	VERB
bjmsr-379	186	2	copyright	copyright	NOUN
bjmsr-379	186	3	for	for	ADP
bjmsr-379	186	4	this	this	DET
bjmsr-379	186	5	article	article	NOUN
bjmsr-379	186	6	is	be	AUX
bjmsr-379	186	7	retained	retain	VERB
bjmsr-379	186	8	by	by	ADP
bjmsr-379	186	9	the	the	DET
bjmsr-379	186	10	author(s	author(s	PROPN
bjmsr-379	186	11	)	)	PUNCT
bjmsr-379	186	12	,	,	PUNCT
bjmsr-379	186	13	with	with	ADP
bjmsr-379	186	14	first	first	ADJ
bjmsr-379	186	15	publication	publication	NOUN
bjmsr-379	186	16	rights	right	NOUN
bjmsr-379	186	17	granted	grant	VERB
bjmsr-379	186	18	to	to	ADP
bjmsr-379	186	19	the	the	DET
bjmsr-379	186	20	journal	journal	NOUN
bjmsr-379	186	21	.	.	PUNCT
bjmsr-379	187	1	this	this	PRON
bjmsr-379	187	2	is	be	AUX
bjmsr-379	187	3	an	an	DET
bjmsr-379	187	4	open	open	ADJ
bjmsr-379	187	5	-	-	PUNCT
bjmsr-379	187	6	access	access	NOUN
bjmsr-379	187	7	article	article	NOUN
bjmsr-379	187	8	distributed	distribute	VERB
bjmsr-379	187	9	under	under	ADP
bjmsr-379	187	10	the	the	DET
bjmsr-379	187	11	terms	term	NOUN
bjmsr-379	187	12	and	and	CCONJ
bjmsr-379	187	13	conditions	condition	NOUN
bjmsr-379	187	14	of	of	ADP
bjmsr-379	187	15	the	the	DET
bjmsr-379	187	16	creative	creative	ADJ
bjmsr-379	187	17	commons	common	NOUN
bjmsr-379	187	18	attribution	attribution	NOUN
bjmsr-379	187	19	license	license	NOUN
bjmsr-379	187	20	(	(	PUNCT
bjmsr-379	187	21	http://creativecommons.org/licenses/by/4.0/	http://creativecommons.org/licenses/by/4.0/	PROPN
bjmsr-379	187	22	)	)	PUNCT
bjmsr-379	187	23	.	.	PUNCT