id	sid	tid	token	lemma	pos
aijmsr-372	1	1	copyright	copyright	NOUN
aijmsr-372	1	2	©	©	PROPN
aijmsr-372	1	3	cc	cc	PROPN
aijmsr-372	1	4	-	-	PUNCT
aijmsr-372	1	5	by	by	ADP
aijmsr-372	1	6	-	-	PUNCT
aijmsr-372	1	7	nc	nc	PROPN
aijmsr-372	1	8	2019	2019	NUM
aijmsr-372	1	9	,	,	PUNCT
aijmsr-372	1	10	cribfb	cribfb	VERB
aijmsr-372	1	11	|	|	ADV
aijmsr-372	1	12	aijmsr	aijmsr	VERB
aijmsr-372	1	13	american	american	PROPN
aijmsr-372	1	14	international	international	PROPN
aijmsr-372	1	15	journal	journal	PROPN
aijmsr-372	1	16	of	of	ADP
aijmsr-372	1	17	multidisciplinary	multidisciplinary	ADJ
aijmsr-372	1	18	scientific	scientific	ADJ
aijmsr-372	1	19	research	research	NOUN
aijmsr-372	1	20	;	;	PUNCT
aijmsr-372	1	21	vol	vol	NOUN
aijmsr-372	1	22	.	.	PROPN
aijmsr-372	1	23	5	5	NUM
aijmsr-372	1	24	,	,	PUNCT
aijmsr-372	1	25	no	no	INTJ
aijmsr-372	1	26	.	.	NOUN
aijmsr-372	1	27	3	3	NUM
aijmsr-372	1	28	;	;	PUNCT
aijmsr-372	1	29	2019	2019	NUM
aijmsr-372	1	30	issn	issn	PROPN
aijmsr-372	1	31	2638	2638	NUM
aijmsr-372	1	32	-	-	SYM
aijmsr-372	1	33	1249	1249	NUM
aijmsr-372	1	34	e	e	NOUN
aijmsr-372	1	35	-	-	PROPN
aijmsr-372	1	36	issn	issn	PROPN
aijmsr-372	1	37	2638	2638	NUM
aijmsr-372	1	38	-	-	SYM
aijmsr-372	1	39	1273	1273	NUM
aijmsr-372	1	40	published	publish	VERB
aijmsr-372	1	41	by	by	ADP
aijmsr-372	1	42	centre	centre	NOUN
aijmsr-372	1	43	for	for	ADP
aijmsr-372	1	44	research	research	NOUN
aijmsr-372	1	45	on	on	ADP
aijmsr-372	1	46	islamic	islamic	ADJ
aijmsr-372	1	47	banking	banking	PROPN
aijmsr-372	1	48	&	&	CCONJ
aijmsr-372	1	49	finance	finance	PROPN
aijmsr-372	1	50	and	and	CCONJ
aijmsr-372	1	51	business	business	NOUN
aijmsr-372	1	52	,	,	PUNCT
aijmsr-372	1	53	usa	usa	PROPN
aijmsr-372	1	54	9	9	NUM
aijmsr-372	1	55	single	single	ADJ
aijmsr-372	1	56	-	-	PUNCT
aijmsr-372	1	57	server	server	NOUN
aijmsr-372	1	58	queue	queue	NOUN
aijmsr-372	1	59	system	system	NOUN
aijmsr-372	1	60	of	of	ADP
aijmsr-372	1	61	shuttle	shuttle	NOUN
aijmsr-372	1	62	bus	bus	NOUN
aijmsr-372	1	63	performance	performance	NOUN
aijmsr-372	1	64	:	:	PUNCT
aijmsr-372	1	65	federal	federal	ADJ
aijmsr-372	1	66	university	university	PROPN
aijmsr-372	1	67	of	of	ADP
aijmsr-372	1	68	technology	technology	NOUN
aijmsr-372	1	69	akure	akure	NOUN
aijmsr-372	1	70	as	as	SCONJ
aijmsr-372	1	71	case	case	NOUN
aijmsr-372	1	72	study	study	NOUN
aijmsr-372	1	73	sidiq	sidiq	PROPN
aijmsr-372	1	74	okwudili	okwudili	PROPN
aijmsr-372	1	75	ben	ben	PROPN
aijmsr-372	1	76	department	department	PROPN
aijmsr-372	1	77	of	of	ADP
aijmsr-372	1	78	geography	geography	PROPN
aijmsr-372	1	79	college	college	PROPN
aijmsr-372	1	80	of	of	ADP
aijmsr-372	1	81	education	education	PROPN
aijmsr-372	1	82	ikere	ikere	NOUN
aijmsr-372	1	83	,	,	PUNCT
aijmsr-372	1	84	ekiti	ekiti	PROPN
aijmsr-372	1	85	,	,	PUNCT
aijmsr-372	1	86	nigeria	nigeria	PROPN
aijmsr-372	1	87	email	email	NOUN
aijmsr-372	1	88	:	:	PUNCT
aijmsr-372	2	1	sidiqoben@yahoo.com	sidiqoben@yahoo.com	X
aijmsr-372	2	2	abstract	abstract	ADJ
aijmsr-372	2	3	this	this	DET
aijmsr-372	2	4	study	study	NOUN
aijmsr-372	2	5	has	have	AUX
aijmsr-372	2	6	examined	examine	VERB
aijmsr-372	2	7	the	the	DET
aijmsr-372	2	8	performance	performance	NOUN
aijmsr-372	2	9	of	of	ADP
aijmsr-372	2	10	university	university	NOUN
aijmsr-372	2	11	transport	transport	NOUN
aijmsr-372	2	12	bus	bus	NOUN
aijmsr-372	2	13	shuttle	shuttle	NOUN
aijmsr-372	2	14	based	base	VERB
aijmsr-372	2	15	on	on	ADP
aijmsr-372	2	16	utilization	utilization	NOUN
aijmsr-372	2	17	using	use	VERB
aijmsr-372	2	18	a	a	DET
aijmsr-372	2	19	single	single	ADJ
aijmsr-372	2	20	-	-	PUNCT
aijmsr-372	2	21	server	server	NOUN
aijmsr-372	2	22	queue	queue	NOUN
aijmsr-372	2	23	system	system	NOUN
aijmsr-372	2	24	which	which	PRON
aijmsr-372	2	25	occur	occur	VERB
aijmsr-372	2	26	if	if	SCONJ
aijmsr-372	2	27	arrival	arrival	NOUN
aijmsr-372	2	28	and	and	CCONJ
aijmsr-372	2	29	service	service	NOUN
aijmsr-372	2	30	rate	rate	NOUN
aijmsr-372	2	31	is	be	AUX
aijmsr-372	2	32	poisson	poisson	NOUN
aijmsr-372	2	33	distributed	distribute	VERB
aijmsr-372	2	34	(	(	PUNCT
aijmsr-372	2	35	single	single	ADJ
aijmsr-372	2	36	queue	queue	NOUN
aijmsr-372	2	37	)	)	PUNCT
aijmsr-372	2	38	(	(	PUNCT
aijmsr-372	2	39	m	m	NOUN
aijmsr-372	2	40	/	/	SYM
aijmsr-372	2	41	m/1	m/1	NOUN
aijmsr-372	2	42	)	)	PUNCT
aijmsr-372	2	43	queue	queue	NOUN
aijmsr-372	2	44	.	.	PUNCT
aijmsr-372	3	1	in	in	ADP
aijmsr-372	3	2	the	the	DET
aijmsr-372	3	3	methodology	methodology	NOUN
aijmsr-372	3	4	,	,	PUNCT
aijmsr-372	3	5	singleserver	singleserver	NOUN
aijmsr-372	3	6	queue	queue	NOUN
aijmsr-372	3	7	system	system	NOUN
aijmsr-372	3	8	was	be	AUX
aijmsr-372	3	9	modelled	model	VERB
aijmsr-372	3	10	based	base	VERB
aijmsr-372	3	11	on	on	ADP
aijmsr-372	3	12	poisson	poisson	NOUN
aijmsr-372	3	13	process	process	NOUN
aijmsr-372	3	14	with	with	ADP
aijmsr-372	3	15	the	the	DET
aijmsr-372	3	16	introduction	introduction	NOUN
aijmsr-372	3	17	of	of	ADP
aijmsr-372	3	18	laplace	laplace	NOUN
aijmsr-372	3	19	transform	transform	NOUN
aijmsr-372	3	20	.	.	PUNCT
aijmsr-372	4	1	it	it	PRON
aijmsr-372	4	2	is	be	AUX
aijmsr-372	4	3	concluded	conclude	VERB
aijmsr-372	4	4	that	that	SCONJ
aijmsr-372	4	5	the	the	DET
aijmsr-372	4	6	performance	performance	NOUN
aijmsr-372	4	7	of	of	ADP
aijmsr-372	4	8	university	university	NOUN
aijmsr-372	4	9	transport	transport	NOUN
aijmsr-372	4	10	bus	bus	NOUN
aijmsr-372	4	11	shuttle	shuttle	NOUN
aijmsr-372	4	12	is	be	AUX
aijmsr-372	4	13	96.6	96.6	NUM
aijmsr-372	4	14	percent	percent	NOUN
aijmsr-372	4	15	which	which	PRON
aijmsr-372	4	16	indicates	indicate	VERB
aijmsr-372	4	17	a	a	DET
aijmsr-372	4	18	very	very	ADV
aijmsr-372	4	19	good	good	ADJ
aijmsr-372	4	20	performance	performance	NOUN
aijmsr-372	4	21	such	such	ADJ
aijmsr-372	4	22	that	that	SCONJ
aijmsr-372	4	23	the	the	DET
aijmsr-372	4	24	supply	supply	NOUN
aijmsr-372	4	25	of	of	ADP
aijmsr-372	4	26	shuttle	shuttle	NOUN
aijmsr-372	4	27	bus	bus	NOUN
aijmsr-372	4	28	in	in	ADP
aijmsr-372	4	29	futa	futa	PROPN
aijmsr-372	4	30	is	be	AUX
aijmsr-372	4	31	capable	capable	ADJ
aijmsr-372	4	32	of	of	ADP
aijmsr-372	4	33	meeting	meet	VERB
aijmsr-372	4	34	the	the	DET
aijmsr-372	4	35	demand	demand	NOUN
aijmsr-372	4	36	.	.	PUNCT
aijmsr-372	5	1	keywords	keyword	NOUN
aijmsr-372	5	2	:	:	PUNCT
aijmsr-372	5	3	single	single	ADJ
aijmsr-372	5	4	-	-	PUNCT
aijmsr-372	5	5	server	server	NOUN
aijmsr-372	5	6	queue	queue	NOUN
aijmsr-372	5	7	system	system	NOUN
aijmsr-372	5	8	;	;	PUNCT
aijmsr-372	5	9	shuttle	shuttle	NOUN
aijmsr-372	5	10	buses	bus	NOUN
aijmsr-372	5	11	;	;	PUNCT
aijmsr-372	5	12	futa	futa	PROPN
aijmsr-372	5	13	1	1	NUM
aijmsr-372	5	14	.	.	PUNCT
aijmsr-372	5	15	introduction	introduction	NOUN
aijmsr-372	5	16	the	the	DET
aijmsr-372	5	17	issues	issue	NOUN
aijmsr-372	5	18	arising	arise	VERB
aijmsr-372	5	19	from	from	ADP
aijmsr-372	5	20	transportation	transportation	NOUN
aijmsr-372	5	21	has	have	AUX
aijmsr-372	5	22	continually	continually	ADV
aijmsr-372	5	23	subjected	subject	VERB
aijmsr-372	5	24	to	to	ADP
aijmsr-372	5	25	various	various	ADJ
aijmsr-372	5	26	debates	debate	NOUN
aijmsr-372	5	27	in	in	ADP
aijmsr-372	5	28	the	the	DET
aijmsr-372	5	29	urban	urban	ADJ
aijmsr-372	5	30	societies	society	NOUN
aijmsr-372	5	31	.	.	PUNCT
aijmsr-372	6	1	globally	globally	ADV
aijmsr-372	6	2	,	,	PUNCT
aijmsr-372	6	3	several	several	ADJ
aijmsr-372	6	4	attempts	attempt	NOUN
aijmsr-372	6	5	have	have	AUX
aijmsr-372	6	6	been	be	AUX
aijmsr-372	6	7	made	make	VERB
aijmsr-372	6	8	to	to	PART
aijmsr-372	6	9	tackle	tackle	VERB
aijmsr-372	6	10	the	the	DET
aijmsr-372	6	11	challenges	challenge	NOUN
aijmsr-372	6	12	,	,	PUNCT
aijmsr-372	6	13	although	although	SCONJ
aijmsr-372	6	14	the	the	DET
aijmsr-372	6	15	situation	situation	NOUN
aijmsr-372	6	16	is	be	AUX
aijmsr-372	6	17	not	not	PART
aijmsr-372	6	18	getting	get	VERB
aijmsr-372	6	19	much	much	ADV
aijmsr-372	6	20	better	well	ADJ
aijmsr-372	6	21	(	(	PUNCT
aijmsr-372	6	22	aderamo	aderamo	NOUN
aijmsr-372	6	23	,	,	PUNCT
aijmsr-372	6	24	2012	2012	NUM
aijmsr-372	6	25	;	;	PUNCT
aijmsr-372	6	26	adanikin	adanikin	ADJ
aijmsr-372	6	27	,	,	PUNCT
aijmsr-372	6	28	olutaiwo	olutaiwo	NOUN
aijmsr-372	6	29	,	,	PUNCT
aijmsr-372	6	30	and	and	CCONJ
aijmsr-372	6	31	obafemi	obafemi	ADV
aijmsr-372	6	32	,	,	PUNCT
aijmsr-372	6	33	2017	2017	NUM
aijmsr-372	6	34	)	)	PUNCT
aijmsr-372	6	35	.	.	PUNCT
aijmsr-372	7	1	managing	manage	VERB
aijmsr-372	7	2	transport	transport	NOUN
aijmsr-372	7	3	infrastructures	infrastructure	NOUN
aijmsr-372	7	4	is	be	AUX
aijmsr-372	7	5	crucial	crucial	ADJ
aijmsr-372	7	6	to	to	PART
aijmsr-372	7	7	facilitate	facilitate	VERB
aijmsr-372	7	8	accessible	accessible	ADJ
aijmsr-372	7	9	,	,	PUNCT
aijmsr-372	7	10	affordable	affordable	ADJ
aijmsr-372	7	11	,	,	PUNCT
aijmsr-372	7	12	reliable	reliable	ADJ
aijmsr-372	7	13	,	,	PUNCT
aijmsr-372	7	14	safe	safe	ADJ
aijmsr-372	7	15	,	,	PUNCT
aijmsr-372	7	16	and	and	CCONJ
aijmsr-372	7	17	efficient	efficient	ADJ
aijmsr-372	7	18	that	that	DET
aijmsr-372	7	19	movement	movement	NOUN
aijmsr-372	7	20	of	of	ADP
aijmsr-372	7	21	people	people	NOUN
aijmsr-372	7	22	and	and	CCONJ
aijmsr-372	7	23	goods	good	NOUN
aijmsr-372	7	24	,	,	PUNCT
aijmsr-372	7	25	which	which	PRON
aijmsr-372	7	26	can	can	AUX
aijmsr-372	7	27	be	be	AUX
aijmsr-372	7	28	achieved	achieve	VERB
aijmsr-372	7	29	by	by	ADP
aijmsr-372	7	30	continous	continous	ADJ
aijmsr-372	7	31	assessment	assessment	NOUN
aijmsr-372	7	32	of	of	ADP
aijmsr-372	7	33	transport	transport	NOUN
aijmsr-372	7	34	performance	performance	NOUN
aijmsr-372	7	35	indicators	indicator	NOUN
aijmsr-372	7	36	.	.	PUNCT
aijmsr-372	8	1	among	among	ADP
aijmsr-372	8	2	the	the	DET
aijmsr-372	8	3	various	various	ADJ
aijmsr-372	8	4	modes	mode	NOUN
aijmsr-372	8	5	of	of	ADP
aijmsr-372	8	6	transport	transport	NOUN
aijmsr-372	8	7	,	,	PUNCT
aijmsr-372	8	8	the	the	DET
aijmsr-372	8	9	road	road	NOUN
aijmsr-372	8	10	transport	transport	NOUN
aijmsr-372	8	11	is	be	AUX
aijmsr-372	8	12	highly	highly	ADV
aijmsr-372	8	13	predominant	predominant	ADJ
aijmsr-372	8	14	which	which	PRON
aijmsr-372	8	15	offers	offer	VERB
aijmsr-372	8	16	door	door	NOUN
aijmsr-372	8	17	-	-	PUNCT
aijmsr-372	8	18	to	to	ADP
aijmsr-372	8	19	-	-	PUNCT
aijmsr-372	8	20	door	door	NOUN
aijmsr-372	8	21	service	service	NOUN
aijmsr-372	8	22	as	as	ADP
aijmsr-372	8	23	in	in	ADP
aijmsr-372	8	24	the	the	DET
aijmsr-372	8	25	case	case	NOUN
aijmsr-372	8	26	of	of	ADP
aijmsr-372	8	27	the	the	DET
aijmsr-372	8	28	federal	federal	ADJ
aijmsr-372	8	29	university	university	PROPN
aijmsr-372	8	30	of	of	ADP
aijmsr-372	8	31	technology	technology	NOUN
aijmsr-372	8	32	akure	akure	NOUN
aijmsr-372	8	33	(	(	PUNCT
aijmsr-372	8	34	futa	futa	PROPN
aijmsr-372	8	35	)	)	PUNCT
aijmsr-372	8	36	.	.	PUNCT
aijmsr-372	9	1	road	road	NOUN
aijmsr-372	9	2	transport	transport	NOUN
aijmsr-372	9	3	infrastructure	infrastructure	NOUN
aijmsr-372	9	4	in	in	ADP
aijmsr-372	9	5	the	the	DET
aijmsr-372	9	6	university	university	NOUN
aijmsr-372	9	7	is	be	AUX
aijmsr-372	9	8	commonly	commonly	ADV
aijmsr-372	9	9	plied	ply	VERB
aijmsr-372	9	10	by	by	ADP
aijmsr-372	9	11	shuttle	shuttle	NOUN
aijmsr-372	9	12	buses	bus	NOUN
aijmsr-372	9	13	for	for	ADP
aijmsr-372	9	14	the	the	DET
aijmsr-372	9	15	movement	movement	NOUN
aijmsr-372	9	16	of	of	ADP
aijmsr-372	9	17	the	the	DET
aijmsr-372	9	18	students	student	NOUN
aijmsr-372	9	19	,	,	PUNCT
aijmsr-372	9	20	staff	staff	NOUN
aijmsr-372	9	21	,	,	PUNCT
aijmsr-372	9	22	members	member	NOUN
aijmsr-372	9	23	and	and	CCONJ
aijmsr-372	9	24	non	non	NOUN
aijmsr-372	9	25	-	-	NOUN
aijmsr-372	9	26	members	member	NOUN
aijmsr-372	9	27	of	of	ADP
aijmsr-372	9	28	the	the	DET
aijmsr-372	9	29	institution	institution	NOUN
aijmsr-372	9	30	to	to	ADP
aijmsr-372	9	31	and	and	CCONJ
aijmsr-372	9	32	from	from	ADP
aijmsr-372	9	33	the	the	DET
aijmsr-372	9	34	university	university	NOUN
aijmsr-372	9	35	on	on	ADP
aijmsr-372	9	36	a	a	DET
aijmsr-372	9	37	daily	daily	ADJ
aijmsr-372	9	38	basis	basis	NOUN
aijmsr-372	9	39	.	.	PUNCT
aijmsr-372	10	1	among	among	ADP
aijmsr-372	10	2	the	the	DET
aijmsr-372	10	3	noticeable	noticeable	ADJ
aijmsr-372	10	4	transportation	transportation	NOUN
aijmsr-372	10	5	problems	problem	NOUN
aijmsr-372	10	6	in	in	ADP
aijmsr-372	10	7	the	the	DET
aijmsr-372	10	8	university	university	NOUN
aijmsr-372	10	9	are	be	AUX
aijmsr-372	10	10	traffic	traffic	NOUN
aijmsr-372	10	11	congestion	congestion	NOUN
aijmsr-372	10	12	;	;	PUNCT
aijmsr-372	10	13	longer	long	ADV
aijmsr-372	10	14	commuting	commuting	NOUN
aijmsr-372	10	15	;	;	PUNCT
aijmsr-372	10	16	public	public	ADJ
aijmsr-372	10	17	transport	transport	NOUN
aijmsr-372	10	18	inadequacy	inadequacy	NOUN
aijmsr-372	10	19	;	;	PUNCT
aijmsr-372	10	20	difficulties	difficulty	NOUN
aijmsr-372	10	21	for	for	SCONJ
aijmsr-372	10	22	tricycles	tricycle	NOUN
aijmsr-372	10	23	to	to	PART
aijmsr-372	10	24	have	have	VERB
aijmsr-372	10	25	access	access	NOUN
aijmsr-372	10	26	to	to	ADP
aijmsr-372	10	27	routes	route	NOUN
aijmsr-372	10	28	being	be	AUX
aijmsr-372	10	29	plied	ply	VERB
aijmsr-372	10	30	by	by	ADP
aijmsr-372	10	31	shuttle	shuttle	NOUN
aijmsr-372	10	32	buses	bus	NOUN
aijmsr-372	10	33	,	,	PUNCT
aijmsr-372	10	34	challenge	challenge	NOUN
aijmsr-372	10	35	of	of	ADP
aijmsr-372	10	36	freight	freight	NOUN
aijmsr-372	10	37	distribution	distribution	NOUN
aijmsr-372	10	38	from	from	ADP
aijmsr-372	10	39	one	one	NUM
aijmsr-372	10	40	end	end	NOUN
aijmsr-372	10	41	of	of	ADP
aijmsr-372	10	42	the	the	DET
aijmsr-372	10	43	university	university	NOUN
aijmsr-372	10	44	to	to	ADP
aijmsr-372	10	45	another	another	DET
aijmsr-372	10	46	end	end	NOUN
aijmsr-372	10	47	,	,	PUNCT
aijmsr-372	10	48	and	and	CCONJ
aijmsr-372	10	49	other	other	ADJ
aijmsr-372	10	50	challenges	challenge	NOUN
aijmsr-372	10	51	which	which	PRON
aijmsr-372	10	52	all	all	PRON
aijmsr-372	10	53	impacts	impact	VERB
aijmsr-372	10	54	the	the	DET
aijmsr-372	10	55	performance	performance	NOUN
aijmsr-372	10	56	of	of	ADP
aijmsr-372	10	57	the	the	DET
aijmsr-372	10	58	university	university	NOUN
aijmsr-372	10	59	transport	transport	NOUN
aijmsr-372	10	60	shuttle	shuttle	NOUN
aijmsr-372	10	61	.	.	PUNCT
aijmsr-372	11	1	this	this	DET
aijmsr-372	11	2	study	study	NOUN
aijmsr-372	11	3	concentrates	concentrate	VERB
aijmsr-372	11	4	on	on	ADP
aijmsr-372	11	5	the	the	DET
aijmsr-372	11	6	performance	performance	NOUN
aijmsr-372	11	7	of	of	ADP
aijmsr-372	11	8	university	university	NOUN
aijmsr-372	11	9	transport	transport	NOUN
aijmsr-372	11	10	bus	bus	NOUN
aijmsr-372	11	11	shuttle	shuttle	NOUN
aijmsr-372	11	12	with	with	ADP
aijmsr-372	11	13	the	the	DET
aijmsr-372	11	14	aim	aim	NOUN
aijmsr-372	11	15	of	of	ADP
aijmsr-372	11	16	examining	examine	VERB
aijmsr-372	11	17	the	the	DET
aijmsr-372	11	18	bus	bus	NOUN
aijmsr-372	11	19	shuttle	shuttle	NOUN
aijmsr-372	11	20	efficiency	efficiency	NOUN
aijmsr-372	11	21	based	base	VERB
aijmsr-372	11	22	on	on	ADP
aijmsr-372	11	23	utilization	utilization	NOUN
aijmsr-372	11	24	.	.	PUNCT
aijmsr-372	12	1	adeniran	adeniran	PROPN
aijmsr-372	12	2	and	and	CCONJ
aijmsr-372	12	3	kanyio	kanyio	NOUN
aijmsr-372	12	4	(	(	PUNCT
aijmsr-372	12	5	2019	2019	NUM
aijmsr-372	12	6	)	)	PUNCT
aijmsr-372	12	7	have	have	AUX
aijmsr-372	12	8	laid	lay	VERB
aijmsr-372	12	9	a	a	DET
aijmsr-372	12	10	foundation	foundation	NOUN
aijmsr-372	12	11	of	of	ADP
aijmsr-372	12	12	model	model	NOUN
aijmsr-372	12	13	on	on	ADP
aijmsr-372	12	14	single	single	ADJ
aijmsr-372	12	15	-	-	PUNCT
aijmsr-372	12	16	server	server	NOUN
aijmsr-372	12	17	queue	queue	NOUN
aijmsr-372	12	18	system	system	NOUN
aijmsr-372	12	19	which	which	PRON
aijmsr-372	12	20	this	this	DET
aijmsr-372	12	21	study	study	NOUN
aijmsr-372	12	22	will	will	AUX
aijmsr-372	12	23	absolutely	absolutely	ADV
aijmsr-372	12	24	rely	rely	VERB
aijmsr-372	12	25	on	on	ADP
aijmsr-372	12	26	.	.	PUNCT
aijmsr-372	13	1	a	a	DET
aijmsr-372	13	2	similar	similar	ADJ
aijmsr-372	13	3	study	study	NOUN
aijmsr-372	13	4	was	be	AUX
aijmsr-372	13	5	conducted	conduct	VERB
aijmsr-372	13	6	by	by	ADP
aijmsr-372	13	7	adanikin	adanikin	NOUN
aijmsr-372	13	8	,	,	PUNCT
aijmsr-372	13	9	olutaiwo	olutaiwo	NOUN
aijmsr-372	13	10	,	,	PUNCT
aijmsr-372	13	11	and	and	CCONJ
aijmsr-372	13	12	obafemi	obafemi	ADV
aijmsr-372	13	13	(	(	PUNCT
aijmsr-372	13	14	2017	2017	NUM
aijmsr-372	13	15	)	)	PUNCT
aijmsr-372	13	16	on	on	ADP
aijmsr-372	13	17	the	the	DET
aijmsr-372	13	18	performance	performance	NOUN
aijmsr-372	13	19	study	study	NOUN
aijmsr-372	13	20	of	of	ADP
aijmsr-372	13	21	university	university	PROPN
aijmsr-372	13	22	of	of	ADP
aijmsr-372	13	23	ado	ado	PROPN
aijmsr-372	13	24	ekiti	ekiti	PROPN
aijmsr-372	13	25	(	(	PUNCT
aijmsr-372	13	26	unad	unad	PROPN
aijmsr-372	13	27	)	)	PUNCT
aijmsr-372	13	28	transit	transit	NOUN
aijmsr-372	13	29	shuttle	shuttle	NOUN
aijmsr-372	13	30	buses	bus	NOUN
aijmsr-372	13	31	.	.	PUNCT
aijmsr-372	14	1	they	they	PRON
aijmsr-372	14	2	adopted	adopt	VERB
aijmsr-372	14	3	traffic	traffic	NOUN
aijmsr-372	14	4	volume	volume	NOUN
aijmsr-372	14	5	,	,	PUNCT
aijmsr-372	14	6	speed	speed	NOUN
aijmsr-372	14	7	,	,	PUNCT
aijmsr-372	14	8	density	density	NOUN
aijmsr-372	14	9	and	and	CCONJ
aijmsr-372	14	10	revenue	revenue	NOUN
aijmsr-372	14	11	as	as	ADP
aijmsr-372	14	12	main	main	ADJ
aijmsr-372	14	13	parameters	parameter	NOUN
aijmsr-372	14	14	of	of	ADP
aijmsr-372	14	15	performance	performance	NOUN
aijmsr-372	14	16	of	of	ADP
aijmsr-372	14	17	transport	transport	NOUN
aijmsr-372	14	18	shuttles	shuttle	NOUN
aijmsr-372	14	19	,	,	PUNCT
aijmsr-372	14	20	and	and	CCONJ
aijmsr-372	14	21	find	find	VERB
aijmsr-372	14	22	that	that	SCONJ
aijmsr-372	14	23	the	the	DET
aijmsr-372	14	24	morning	morning	NOUN
aijmsr-372	14	25	peak	peak	NOUN
aijmsr-372	14	26	period	period	NOUN
aijmsr-372	14	27	(	(	PUNCT
aijmsr-372	14	28	8.00am	8.00am	NUM
aijmsr-372	14	29	to	to	ADP
aijmsr-372	14	30	9.00am	9.00am	NUM
aijmsr-372	14	31	)	)	PUNCT
aijmsr-372	14	32	has	have	VERB
aijmsr-372	14	33	234	234	NUM
aijmsr-372	14	34	vehicles	vehicle	NOUN
aijmsr-372	14	35	/	/	SYM
aijmsr-372	14	36	hr	hr	NOUN
aijmsr-372	14	37	,	,	PUNCT
aijmsr-372	14	38	evening	evening	NOUN
aijmsr-372	14	39	peak	peak	NOUN
aijmsr-372	14	40	period	period	NOUN
aijmsr-372	14	41	(	(	PUNCT
aijmsr-372	14	42	2.00pm	2.00pm	NUM
aijmsr-372	14	43	to	to	ADP
aijmsr-372	14	44	3.00pm	3.00pm	NUM
aijmsr-372	14	45	)	)	PUNCT
aijmsr-372	14	46	has	have	VERB
aijmsr-372	14	47	284	284	NUM
aijmsr-372	14	48	vehicles	vehicle	NOUN
aijmsr-372	14	49	/	/	SYM
aijmsr-372	14	50	hr	hr	NOUN
aijmsr-372	14	51	,	,	PUNCT
aijmsr-372	14	52	while	while	SCONJ
aijmsr-372	14	53	the	the	DET
aijmsr-372	14	54	off	off	ADP
aijmsr-372	14	55	-	-	PUNCT
aijmsr-372	14	56	peak	peak	NOUN
aijmsr-372	14	57	period	period	NOUN
aijmsr-372	14	58	(	(	PUNCT
aijmsr-372	14	59	11.00am	11.00am	NUM
aijmsr-372	14	60	to	to	PART
aijmsr-372	14	61	12.00pm	12.00pm	NUM
aijmsr-372	14	62	)	)	PUNCT
aijmsr-372	14	63	has	have	VERB
aijmsr-372	14	64	156	156	NUM
aijmsr-372	14	65	vehicles	vehicle	NOUN
aijmsr-372	14	66	/	/	SYM
aijmsr-372	14	67	hr	hr	NOUN
aijmsr-372	14	68	.	.	PUNCT
aijmsr-372	15	1	also	also	ADV
aijmsr-372	15	2	,	,	PUNCT
aijmsr-372	15	3	the	the	DET
aijmsr-372	15	4	average	average	ADJ
aijmsr-372	15	5	stopping	stopping	NOUN
aijmsr-372	15	6	time	time	NOUN
aijmsr-372	15	7	was	be	AUX
aijmsr-372	15	8	6.55	6.55	NUM
aijmsr-372	15	9	minutes	minute	NOUN
aijmsr-372	15	10	,	,	PUNCT
aijmsr-372	15	11	average	average	ADJ
aijmsr-372	15	12	interval	interval	NOUN
aijmsr-372	15	13	between	between	ADP
aijmsr-372	15	14	arrivals	arrival	NOUN
aijmsr-372	15	15	of	of	ADP
aijmsr-372	15	16	motorists	motorist	NOUN
aijmsr-372	15	17	was	be	AUX
aijmsr-372	15	18	16.40	16.40	NUM
aijmsr-372	15	19	seconds	second	NOUN
aijmsr-372	15	20	,	,	PUNCT
aijmsr-372	15	21	the	the	DET
aijmsr-372	15	22	average	average	ADJ
aijmsr-372	15	23	queue	queue	NOUN
aijmsr-372	15	24	length	length	NOUN
aijmsr-372	15	25	was	be	AUX
aijmsr-372	15	26	14.23	14.23	NUM
aijmsr-372	15	27	people	people	NOUN
aijmsr-372	15	28	,	,	PUNCT
aijmsr-372	15	29	and	and	CCONJ
aijmsr-372	15	30	the	the	DET
aijmsr-372	15	31	average	average	ADJ
aijmsr-372	15	32	waiting	waiting	NOUN
aijmsr-372	15	33	time	time	NOUN
aijmsr-372	15	34	at	at	ADP
aijmsr-372	15	35	the	the	DET
aijmsr-372	15	36	bus	bus	NOUN
aijmsr-372	15	37	-	-	PUNCT
aijmsr-372	15	38	stop	stop	VERB
aijmsr-372	15	39	4.17	4.17	NUM
aijmsr-372	15	40	minutes	minute	NOUN
aijmsr-372	15	41	.	.	PUNCT
aijmsr-372	16	1	these	these	DET
aijmsr-372	16	2	values	value	NOUN
aijmsr-372	16	3	were	be	AUX
aijmsr-372	16	4	obtained	obtain	VERB
aijmsr-372	16	5	using	use	VERB
aijmsr-372	16	6	the	the	DET
aijmsr-372	16	7	queuing	queuing	NOUN
aijmsr-372	16	8	theory	theory	NOUN
aijmsr-372	16	9	and	and	CCONJ
aijmsr-372	16	10	shows	show	VERB
aijmsr-372	16	11	much	much	ADJ
aijmsr-372	16	12	commuters	commuter	NOUN
aijmsr-372	16	13	time	time	NOUN
aijmsr-372	16	14	is	be	AUX
aijmsr-372	16	15	lost	lose	VERB
aijmsr-372	16	16	on	on	ADP
aijmsr-372	16	17	transit	transit	NOUN
aijmsr-372	16	18	queues	queue	NOUN
aijmsr-372	16	19	.	.	PUNCT
aijmsr-372	17	1	this	this	DET
aijmsr-372	17	2	study	study	NOUN
aijmsr-372	17	3	focuses	focus	VERB
aijmsr-372	17	4	on	on	ADP
aijmsr-372	17	5	the	the	DET
aijmsr-372	17	6	performance	performance	NOUN
aijmsr-372	17	7	of	of	ADP
aijmsr-372	17	8	bus	bus	NOUN
aijmsr-372	17	9	terminal	terminal	NOUN
aijmsr-372	17	10	in	in	ADP
aijmsr-372	17	11	futa	futa	PROPN
aijmsr-372	17	12	,	,	PUNCT
aijmsr-372	17	13	and	and	CCONJ
aijmsr-372	17	14	does	do	AUX
aijmsr-372	17	15	not	not	PART
aijmsr-372	17	16	factor	factor	VERB
aijmsr-372	17	17	in	in	ADP
aijmsr-372	17	18	other	other	ADJ
aijmsr-372	17	19	parameters	parameter	NOUN
aijmsr-372	17	20	such	such	ADJ
aijmsr-372	17	21	as	as	ADP
aijmsr-372	17	22	peak	peak	NOUN
aijmsr-372	17	23	period	period	NOUN
aijmsr-372	17	24	,	,	PUNCT
aijmsr-372	17	25	traffic	traffic	NOUN
aijmsr-372	17	26	volume	volume	NOUN
aijmsr-372	17	27	,	,	PUNCT
aijmsr-372	17	28	traffic	traffic	NOUN
aijmsr-372	17	29	speed	speed	NOUN
aijmsr-372	17	30	,	,	PUNCT
aijmsr-372	17	31	density	density	NOUN
aijmsr-372	17	32	,	,	PUNCT
aijmsr-372	17	33	and	and	CCONJ
aijmsr-372	17	34	others	other	NOUN
aijmsr-372	17	35	.	.	PUNCT
aijmsr-372	18	1	2	2	X
aijmsr-372	18	2	.	.	X
aijmsr-372	18	3	methodology	methodology	NOUN
aijmsr-372	18	4	2.1	2.1	NUM
aijmsr-372	18	5	queuing	queuing	NOUN
aijmsr-372	18	6	system	system	NOUN
aijmsr-372	18	7	the	the	DET
aijmsr-372	18	8	concept	concept	NOUN
aijmsr-372	18	9	of	of	ADP
aijmsr-372	18	10	queue	queue	NOUN
aijmsr-372	18	11	was	be	AUX
aijmsr-372	18	12	first	first	ADV
aijmsr-372	18	13	used	use	VERB
aijmsr-372	18	14	for	for	ADP
aijmsr-372	18	15	the	the	DET
aijmsr-372	18	16	analysis	analysis	NOUN
aijmsr-372	18	17	of	of	ADP
aijmsr-372	18	18	telephone	telephone	NOUN
aijmsr-372	18	19	call	call	NOUN
aijmsr-372	18	20	traffic	traffic	NOUN
aijmsr-372	18	21	in	in	ADP
aijmsr-372	18	22	1913	1913	NUM
aijmsr-372	18	23	(	(	PUNCT
aijmsr-372	18	24	copper	copper	NOUN
aijmsr-372	18	25	,	,	PUNCT
aijmsr-372	18	26	1981	1981	NUM
aijmsr-372	18	27	;	;	PUNCT
aijmsr-372	18	28	gross	gross	ADJ
aijmsr-372	18	29	and	and	CCONJ
aijmsr-372	18	30	harris	harris	PROPN
aijmsr-372	18	31	,	,	PUNCT
aijmsr-372	18	32	1985	1985	NUM
aijmsr-372	18	33	;	;	PUNCT
aijmsr-372	18	34	bastani	bastani	NOUN
aijmsr-372	18	35	,	,	PUNCT
aijmsr-372	18	36	2009	2009	NUM
aijmsr-372	18	37	)	)	PUNCT
aijmsr-372	18	38	.	.	PUNCT
aijmsr-372	19	1	in	in	ADP
aijmsr-372	19	2	a	a	DET
aijmsr-372	19	3	system	system	NOUN
aijmsr-372	19	4	that	that	PRON
aijmsr-372	19	5	deals	deal	VERB
aijmsr-372	19	6	with	with	ADP
aijmsr-372	19	7	the	the	DET
aijmsr-372	19	8	rate	rate	NOUN
aijmsr-372	19	9	of	of	ADP
aijmsr-372	19	10	arrival	arrival	NOUN
aijmsr-372	19	11	and	and	CCONJ
aijmsr-372	19	12	service	service	NOUN
aijmsr-372	19	13	rate	rate	NOUN
aijmsr-372	19	14	,	,	PUNCT
aijmsr-372	19	15	waiting	wait	VERB
aijmsr-372	19	16	time	time	NOUN
aijmsr-372	19	17	is	be	AUX
aijmsr-372	19	18	inevitable	inevitable	ADJ
aijmsr-372	19	19	and	and	CCONJ
aijmsr-372	19	20	it	it	PRON
aijmsr-372	19	21	is	be	AUX
aijmsr-372	19	22	always	always	ADV
aijmsr-372	19	23	copyright	copyright	NOUN
aijmsr-372	19	24	©	©	PROPN
aijmsr-372	19	25	cc	cc	NOUN
aijmsr-372	19	26	-	-	PUNCT
aijmsr-372	19	27	by	by	ADP
aijmsr-372	19	28	-	-	PUNCT
aijmsr-372	19	29	nc	nc	PROPN
aijmsr-372	19	30	2019	2019	NUM
aijmsr-372	19	31	,	,	PUNCT
aijmsr-372	19	32	cribfb	cribfb	VERB
aijmsr-372	19	33	|	|	CCONJ
aijmsr-372	19	34	aijmsr	aijmsr	NOUN
aijmsr-372	19	35	www.cribfb.com/journal/index.php/aijmsr	www.cribfb.com/journal/index.php/aijmsr	VERB
aijmsr-372	19	36	american	american	PROPN
aijmsr-372	19	37	international	international	PROPN
aijmsr-372	19	38	journal	journal	PROPN
aijmsr-372	19	39	of	of	ADP
aijmsr-372	19	40	multidisciplinary	multidisciplinary	ADJ
aijmsr-372	19	41	scientific	scientific	ADJ
aijmsr-372	19	42	research	research	NOUN
aijmsr-372	19	43	vol	vol	NOUN
aijmsr-372	19	44	.	.	PROPN
aijmsr-372	20	1	5	5	NUM
aijmsr-372	20	2	,	,	PUNCT
aijmsr-372	20	3	no	no	INTJ
aijmsr-372	20	4	.	.	NOUN
aijmsr-372	20	5	3	3	NUM
aijmsr-372	20	6	;	;	PUNCT
aijmsr-372	20	7	2019	2019	NUM
aijmsr-372	20	8	10	10	NUM
aijmsr-372	20	9	influenced	influence	VERB
aijmsr-372	20	10	by	by	ADP
aijmsr-372	20	11	queue	queue	NOUN
aijmsr-372	20	12	length	length	NOUN
aijmsr-372	20	13	.	.	PUNCT
aijmsr-372	21	1	it	it	PRON
aijmsr-372	21	2	is	be	AUX
aijmsr-372	21	3	therefore	therefore	ADV
aijmsr-372	21	4	crucial	crucial	ADJ
aijmsr-372	21	5	to	to	PART
aijmsr-372	21	6	minimize	minimize	VERB
aijmsr-372	21	7	the	the	DET
aijmsr-372	21	8	waiting	waiting	NOUN
aijmsr-372	21	9	time	time	NOUN
aijmsr-372	21	10	to	to	ADP
aijmsr-372	21	11	the	the	DET
aijmsr-372	21	12	lowest	low	ADJ
aijmsr-372	21	13	level	level	NOUN
aijmsr-372	21	14	in	in	ADP
aijmsr-372	21	15	the	the	DET
aijmsr-372	21	16	bus	bus	NOUN
aijmsr-372	21	17	terminal	terminal	NOUN
aijmsr-372	21	18	(	(	PUNCT
aijmsr-372	21	19	jain	jain	PROPN
aijmsr-372	21	20	,	,	PUNCT
aijmsr-372	21	21	mohanty	mohanty	PROPN
aijmsr-372	21	22	and	and	CCONJ
aijmsr-372	21	23	bohm	bohm	PROPN
aijmsr-372	21	24	,	,	PUNCT
aijmsr-372	21	25	2007	2007	NUM
aijmsr-372	21	26	)	)	PUNCT
aijmsr-372	21	27	.	.	PUNCT
aijmsr-372	22	1	this	this	PRON
aijmsr-372	22	2	is	be	AUX
aijmsr-372	22	3	referred	refer	VERB
aijmsr-372	22	4	to	to	ADP
aijmsr-372	22	5	as	as	ADP
aijmsr-372	22	6	queuing	queue	VERB
aijmsr-372	22	7	system	system	NOUN
aijmsr-372	22	8	(	(	PUNCT
aijmsr-372	22	9	adeniran	adeniran	NOUN
aijmsr-372	22	10	and	and	CCONJ
aijmsr-372	22	11	kanyio	kanyio	NOUN
aijmsr-372	22	12	,	,	PUNCT
aijmsr-372	22	13	2019	2019	NUM
aijmsr-372	22	14	)	)	PUNCT
aijmsr-372	22	15	.	.	PUNCT
aijmsr-372	23	1	the	the	DET
aijmsr-372	23	2	basic	basic	ADJ
aijmsr-372	23	3	application	application	NOUN
aijmsr-372	23	4	of	of	ADP
aijmsr-372	23	5	queue	queue	NOUN
aijmsr-372	23	6	is	be	AUX
aijmsr-372	23	7	shown	show	VERB
aijmsr-372	23	8	in	in	ADP
aijmsr-372	23	9	figure	figure	NOUN
aijmsr-372	23	10	1	1	NUM
aijmsr-372	23	11	,	,	PUNCT
aijmsr-372	23	12	also	also	ADV
aijmsr-372	23	13	the	the	DET
aijmsr-372	23	14	basic	basic	ADJ
aijmsr-372	23	15	quantities	quantity	NOUN
aijmsr-372	23	16	are	be	AUX
aijmsr-372	23	17	:	:	PUNCT
aijmsr-372	23	18	i.	i.	NOUN
aijmsr-372	23	19	number	number	NOUN
aijmsr-372	23	20	of	of	ADP
aijmsr-372	23	21	customers	customer	NOUN
aijmsr-372	23	22	in	in	ADP
aijmsr-372	23	23	queue	queue	NOUN
aijmsr-372	23	24	l	l	NOUN
aijmsr-372	23	25	(	(	PUNCT
aijmsr-372	23	26	for	for	ADP
aijmsr-372	23	27	length	length	NOUN
aijmsr-372	23	28	)	)	PUNCT
aijmsr-372	23	29	;	;	PUNCT
aijmsr-372	23	30	ii	ii	PROPN
aijmsr-372	23	31	.	.	PROPN
aijmsr-372	23	32	time	time	PROPN
aijmsr-372	23	33	spent	spend	VERB
aijmsr-372	23	34	in	in	ADP
aijmsr-372	23	35	queue	queue	NOUN
aijmsr-372	23	36	w	w	NOUN
aijmsr-372	23	37	for	for	ADP
aijmsr-372	23	38	(	(	PUNCT
aijmsr-372	23	39	wait	wait	PROPN
aijmsr-372	23	40	)	)	PUNCT
aijmsr-372	23	41	figure1	figure1	PROPN
aijmsr-372	23	42	:	:	PUNCT
aijmsr-372	23	43	basic	basic	ADJ
aijmsr-372	23	44	application	application	NOUN
aijmsr-372	23	45	of	of	ADP
aijmsr-372	23	46	queue	queue	NOUN
aijmsr-372	23	47	source	source	NOUN
aijmsr-372	23	48	:	:	PUNCT
aijmsr-372	23	49	adeniran	adeniran	NOUN
aijmsr-372	23	50	and	and	CCONJ
aijmsr-372	23	51	kanyio	kanyio	NOUN
aijmsr-372	23	52	(	(	PUNCT
aijmsr-372	23	53	2019	2019	NUM
aijmsr-372	23	54	)	)	PUNCT
aijmsr-372	23	55	examples	example	NOUN
aijmsr-372	23	56	of	of	ADP
aijmsr-372	23	57	queue	queue	NOUN
aijmsr-372	23	58	system	system	NOUN
aijmsr-372	23	59	are	be	AUX
aijmsr-372	23	60	:	:	PUNCT
aijmsr-372	23	61	1	1	X
aijmsr-372	23	62	.	.	X
aijmsr-372	23	63	single	single	ADJ
aijmsr-372	23	64	-	-	PUNCT
aijmsr-372	23	65	server	server	NOUN
aijmsr-372	23	66	queue	queue	NOUN
aijmsr-372	23	67	system	system	NOUN
aijmsr-372	23	68	:	:	PUNCT
aijmsr-372	23	69	this	this	PRON
aijmsr-372	23	70	is	be	AUX
aijmsr-372	23	71	also	also	ADV
aijmsr-372	23	72	referred	refer	VERB
aijmsr-372	23	73	to	to	ADP
aijmsr-372	23	74	as	as	ADP
aijmsr-372	23	75	single	single	ADJ
aijmsr-372	23	76	queue	queue	NOUN
aijmsr-372	23	77	,	,	PUNCT
aijmsr-372	23	78	single	single	ADJ
aijmsr-372	23	79	server	server	NOUN
aijmsr-372	23	80	.	.	PUNCT
aijmsr-372	24	1	it	it	PRON
aijmsr-372	24	2	is	be	AUX
aijmsr-372	24	3	simple	simple	ADJ
aijmsr-372	24	4	if	if	SCONJ
aijmsr-372	24	5	arrivals	arrival	NOUN
aijmsr-372	24	6	and	and	CCONJ
aijmsr-372	24	7	services	service	NOUN
aijmsr-372	24	8	are	be	AUX
aijmsr-372	24	9	poisson	poisson	NOUN
aijmsr-372	24	10	distributed	distribute	VERB
aijmsr-372	24	11	(	(	PUNCT
aijmsr-372	24	12	m	m	NOUN
aijmsr-372	24	13	/	/	SYM
aijmsr-372	24	14	m/1	m/1	NOUN
aijmsr-372	24	15	)	)	PUNCT
aijmsr-372	24	16	queue	queue	NOUN
aijmsr-372	24	17	.	.	PUNCT
aijmsr-372	25	1	it	it	PRON
aijmsr-372	25	2	has	have	VERB
aijmsr-372	25	3	limited	limit	VERB
aijmsr-372	25	4	number	number	NOUN
aijmsr-372	25	5	of	of	ADP
aijmsr-372	25	6	spots	spot	NOUN
aijmsr-372	25	7	and	and	CCONJ
aijmsr-372	25	8	not	not	PART
aijmsr-372	25	9	difficult	difficult	ADJ
aijmsr-372	25	10	.	.	PUNCT
aijmsr-372	26	1	figure	figure	NOUN
aijmsr-372	26	2	2	2	NUM
aijmsr-372	26	3	depicts	depict	VERB
aijmsr-372	26	4	single	single	ADJ
aijmsr-372	26	5	-	-	PUNCT
aijmsr-372	26	6	server	server	NOUN
aijmsr-372	26	7	queue	queue	NOUN
aijmsr-372	26	8	system	system	NOUN
aijmsr-372	26	9	.	.	PUNCT
aijmsr-372	27	1	figure	figure	NOUN
aijmsr-372	27	2	2	2	NUM
aijmsr-372	27	3	:	:	PUNCT
aijmsr-372	27	4	single	single	ADJ
aijmsr-372	27	5	-	-	PUNCT
aijmsr-372	27	6	server	server	NOUN
aijmsr-372	27	7	queue	queue	NOUN
aijmsr-372	27	8	system	system	NOUN
aijmsr-372	27	9	source	source	NOUN
aijmsr-372	27	10	:	:	PUNCT
aijmsr-372	27	11	adeniran	adeniran	NOUN
aijmsr-372	27	12	and	and	CCONJ
aijmsr-372	27	13	kanyio	kanyio	NOUN
aijmsr-372	27	14	(	(	PUNCT
aijmsr-372	27	15	2019	2019	NUM
aijmsr-372	27	16	)	)	PUNCT
aijmsr-372	27	17	2	2	NUM
aijmsr-372	27	18	.	.	X
aijmsr-372	27	19	multi	multi	ADJ
aijmsr-372	27	20	-	-	ADJ
aijmsr-372	27	21	server	server	ADJ
aijmsr-372	27	22	queue	queue	NOUN
aijmsr-372	27	23	system	system	NOUN
aijmsr-372	27	24	:	:	PUNCT
aijmsr-372	27	25	this	this	PRON
aijmsr-372	27	26	is	be	AUX
aijmsr-372	27	27	comprises	comprise	NOUN
aijmsr-372	27	28	of	of	ADP
aijmsr-372	27	29	single	single	ADJ
aijmsr-372	27	30	queue	queue	NOUN
aijmsr-372	27	31	,	,	PUNCT
aijmsr-372	27	32	many	many	ADJ
aijmsr-372	27	33	servers	server	NOUN
aijmsr-372	27	34	(	(	PUNCT
aijmsr-372	27	35	m	m	NOUN
aijmsr-372	27	36	/	/	SYM
aijmsr-372	27	37	m	m	PROPN
aijmsr-372	27	38	/	/	SYM
aijmsr-372	27	39	c	c	NOUN
aijmsr-372	27	40	)	)	PUNCT
aijmsr-372	27	41	queue	queue	NOUN
aijmsr-372	27	42	.	.	PUNCT
aijmsr-372	28	1	the	the	DET
aijmsr-372	28	2	c	c	PROPN
aijmsr-372	28	3	is	be	AUX
aijmsr-372	28	4	referred	refer	VERB
aijmsr-372	28	5	to	to	ADP
aijmsr-372	28	6	as	as	ADP
aijmsr-372	28	7	poisson	poisson	NOUN
aijmsr-372	28	8	servers	server	NOUN
aijmsr-372	28	9	.	.	PUNCT
aijmsr-372	29	1	figure	figure	VERB
aijmsr-372	29	2	3	3	NUM
aijmsr-372	29	3	depicts	depict	VERB
aijmsr-372	29	4	multiple	multiple	ADJ
aijmsr-372	29	5	-	-	PUNCT
aijmsr-372	29	6	server	server	NOUN
aijmsr-372	29	7	queue	queue	NOUN
aijmsr-372	29	8	system	system	NOUN
aijmsr-372	29	9	.	.	PUNCT
aijmsr-372	30	1	figure	figure	VERB
aijmsr-372	30	2	3	3	NUM
aijmsr-372	30	3	:	:	PUNCT
aijmsr-372	30	4	multiple	multiple	ADJ
aijmsr-372	30	5	-	-	PUNCT
aijmsr-372	30	6	server	server	NOUN
aijmsr-372	30	7	queue	queue	NOUN
aijmsr-372	30	8	system	system	NOUN
aijmsr-372	30	9	source	source	NOUN
aijmsr-372	30	10	:	:	PUNCT
aijmsr-372	30	11	adeniran	adeniran	NOUN
aijmsr-372	30	12	and	and	CCONJ
aijmsr-372	30	13	kanyio	kanyio	NOUN
aijmsr-372	30	14	(	(	PUNCT
aijmsr-372	30	15	2019	2019	NUM
aijmsr-372	30	16	)	)	PUNCT
aijmsr-372	30	17	in	in	ADP
aijmsr-372	30	18	single	single	ADJ
aijmsr-372	30	19	-	-	PUNCT
aijmsr-372	30	20	server	server	NOUN
aijmsr-372	30	21	queue	queue	NOUN
aijmsr-372	30	22	system	system	NOUN
aijmsr-372	30	23	,	,	PUNCT
aijmsr-372	30	24	arrival	arrival	NOUN
aijmsr-372	30	25	and	and	CCONJ
aijmsr-372	30	26	service	service	NOUN
aijmsr-372	30	27	processes	process	NOUN
aijmsr-372	30	28	are	be	AUX
aijmsr-372	30	29	poisson	poisson	NOUN
aijmsr-372	30	30	such	such	ADJ
aijmsr-372	30	31	that	that	SCONJ
aijmsr-372	30	32	a.	a.	NOUN
aijmsr-372	30	33	customers	customer	NOUN
aijmsr-372	30	34	arrive	arrive	VERB
aijmsr-372	30	35	at	at	ADP
aijmsr-372	30	36	an	an	DET
aijmsr-372	30	37	average	average	ADJ
aijmsr-372	30	38	rate	rate	NOUN
aijmsr-372	30	39	of	of	ADP
aijmsr-372	30	40	λ	λ	PROPN
aijmsr-372	30	41	per	per	ADP
aijmsr-372	30	42	unit	unit	NOUN
aijmsr-372	30	43	time	time	NOUN
aijmsr-372	30	44	;	;	PUNCT
aijmsr-372	30	45	copyright	copyright	NOUN
aijmsr-372	30	46	©	©	PROPN
aijmsr-372	30	47	cc	cc	PROPN
aijmsr-372	30	48	-	-	PUNCT
aijmsr-372	30	49	by	by	ADP
aijmsr-372	30	50	-	-	PUNCT
aijmsr-372	30	51	nc	nc	PROPN
aijmsr-372	30	52	2019	2019	NUM
aijmsr-372	30	53	,	,	PUNCT
aijmsr-372	30	54	cribfb	cribfb	VERB
aijmsr-372	30	55	|	|	CCONJ
aijmsr-372	30	56	aijmsr	aijmsr	NOUN
aijmsr-372	30	57	www.cribfb.com/journal/index.php/aijmsr	www.cribfb.com/journal/index.php/aijmsr	VERB
aijmsr-372	30	58	american	american	PROPN
aijmsr-372	30	59	international	international	PROPN
aijmsr-372	30	60	journal	journal	PROPN
aijmsr-372	30	61	of	of	ADP
aijmsr-372	30	62	multidisciplinary	multidisciplinary	ADJ
aijmsr-372	30	63	scientific	scientific	ADJ
aijmsr-372	30	64	research	research	NOUN
aijmsr-372	30	65	vol	vol	NOUN
aijmsr-372	30	66	.	.	PROPN
aijmsr-372	31	1	5	5	NUM
aijmsr-372	31	2	,	,	PUNCT
aijmsr-372	31	3	no	no	INTJ
aijmsr-372	31	4	.	.	NOUN
aijmsr-372	31	5	3	3	NUM
aijmsr-372	31	6	;	;	PUNCT
aijmsr-372	31	7	2019	2019	NUM
aijmsr-372	31	8	11	11	NUM
aijmsr-372	31	9	b.	b.	NOUN
aijmsr-372	31	10	customers	customer	NOUN
aijmsr-372	31	11	are	be	AUX
aijmsr-372	31	12	serviced	service	VERB
aijmsr-372	31	13	at	at	ADP
aijmsr-372	31	14	an	an	DET
aijmsr-372	31	15	average	average	ADJ
aijmsr-372	31	16	rate	rate	NOUN
aijmsr-372	31	17	of	of	ADP
aijmsr-372	31	18	µ	µ	PRON
aijmsr-372	31	19	per	per	ADP
aijmsr-372	31	20	unit	unit	NOUN
aijmsr-372	31	21	time	time	NOUN
aijmsr-372	31	22	;	;	PUNCT
aijmsr-372	31	23	c.	c.	PROPN
aijmsr-372	31	24	interarrival	interarrival	PROPN
aijmsr-372	31	25	and	and	CCONJ
aijmsr-372	31	26	inter	inter	ADJ
aijmsr-372	31	27	-	-	ADJ
aijmsr-372	31	28	service	service	ADJ
aijmsr-372	31	29	time	time	NOUN
aijmsr-372	31	30	are	be	AUX
aijmsr-372	31	31	exponential	exponential	ADJ
aijmsr-372	31	32	and	and	CCONJ
aijmsr-372	31	33	independent	independent	ADJ
aijmsr-372	31	34	;	;	PUNCT
aijmsr-372	31	35	d.	d.	PROPN
aijmsr-372	31	36	hypothesis	hypothesis	NOUN
aijmsr-372	31	37	of	of	ADP
aijmsr-372	31	38	poisson	poisson	PROPN
aijmsr-372	31	39	arrivals	arrival	NOUN
aijmsr-372	31	40	is	be	AUX
aijmsr-372	31	41	reasonable	reasonable	ADJ
aijmsr-372	31	42	;	;	PUNCT
aijmsr-372	31	43	and	and	CCONJ
aijmsr-372	31	44	e.	e.	PROPN
aijmsr-372	31	45	hypothesis	hypothesis	NOUN
aijmsr-372	31	46	of	of	ADP
aijmsr-372	31	47	exponential	exponential	ADJ
aijmsr-372	31	48	service	service	NOUN
aijmsr-372	31	49	times	time	NOUN
aijmsr-372	31	50	are	be	AUX
aijmsr-372	31	51	not	not	PART
aijmsr-372	31	52	so	so	ADV
aijmsr-372	31	53	reasonable	reasonable	ADJ
aijmsr-372	31	54	(	(	PUNCT
aijmsr-372	31	55	adeniran	adeniran	NOUN
aijmsr-372	31	56	and	and	CCONJ
aijmsr-372	31	57	kanyio	kanyio	NOUN
aijmsr-372	31	58	,	,	PUNCT
aijmsr-372	31	59	2019	2019	NUM
aijmsr-372	31	60	)	)	PUNCT
aijmsr-372	31	61	in	in	ADP
aijmsr-372	31	62	order	order	NOUN
aijmsr-372	31	63	to	to	PART
aijmsr-372	31	64	explain	explain	VERB
aijmsr-372	31	65	how	how	SCONJ
aijmsr-372	31	66	the	the	DET
aijmsr-372	31	67	queuing	queue	VERB
aijmsr-372	31	68	system	system	NOUN
aijmsr-372	31	69	works	work	VERB
aijmsr-372	31	70	,	,	PUNCT
aijmsr-372	31	71	there	there	PRON
aijmsr-372	31	72	is	be	VERB
aijmsr-372	31	73	need	need	NOUN
aijmsr-372	31	74	to	to	PART
aijmsr-372	31	75	first	first	ADV
aijmsr-372	31	76	introduce	introduce	VERB
aijmsr-372	31	77	the	the	DET
aijmsr-372	31	78	poisson	poisson	NOUN
aijmsr-372	31	79	process	process	NOUN
aijmsr-372	31	80	(	(	PUNCT
aijmsr-372	31	81	pp	pp	ADJ
aijmsr-372	31	82	)	)	PUNCT
aijmsr-372	31	83	.	.	PUNCT
aijmsr-372	32	1	it	it	PRON
aijmsr-372	32	2	has	have	VERB
aijmsr-372	32	3	exceptional	exceptional	ADJ
aijmsr-372	32	4	properties	property	NOUN
aijmsr-372	32	5	and	and	CCONJ
aijmsr-372	32	6	is	be	AUX
aijmsr-372	32	7	a	a	DET
aijmsr-372	32	8	very	very	ADV
aijmsr-372	32	9	important	important	ADJ
aijmsr-372	32	10	process	process	NOUN
aijmsr-372	32	11	in	in	ADP
aijmsr-372	32	12	queuing	queue	VERB
aijmsr-372	32	13	theory	theory	NOUN
aijmsr-372	32	14	.	.	PUNCT
aijmsr-372	33	1	to	to	PART
aijmsr-372	33	2	simplify	simplify	VERB
aijmsr-372	33	3	the	the	DET
aijmsr-372	33	4	model	model	NOUN
aijmsr-372	33	5	,	,	PUNCT
aijmsr-372	33	6	we	we	PRON
aijmsr-372	33	7	often	often	ADV
aijmsr-372	33	8	assume	assume	VERB
aijmsr-372	33	9	customer	customer	NOUN
aijmsr-372	33	10	arrivals	arrival	NOUN
aijmsr-372	33	11	follow	follow	VERB
aijmsr-372	33	12	a	a	DET
aijmsr-372	33	13	pp	pp	NOUN
aijmsr-372	33	14	.	.	PUNCT
aijmsr-372	34	1	the	the	DET
aijmsr-372	34	2	laplace	laplace	NOUN
aijmsr-372	34	3	transform	transform	NOUN
aijmsr-372	34	4	(	(	PUNCT
aijmsr-372	34	5	lt	lt	NOUN
aijmsr-372	34	6	)	)	PUNCT
aijmsr-372	34	7	is	be	AUX
aijmsr-372	34	8	also	also	ADV
aijmsr-372	34	9	a	a	DET
aijmsr-372	34	10	very	very	ADV
aijmsr-372	34	11	powerful	powerful	ADJ
aijmsr-372	34	12	tool	tool	NOUN
aijmsr-372	34	13	that	that	PRON
aijmsr-372	34	14	was	be	AUX
aijmsr-372	34	15	adopted	adopt	VERB
aijmsr-372	34	16	in	in	ADP
aijmsr-372	34	17	the	the	DET
aijmsr-372	34	18	analysis	analysis	NOUN
aijmsr-372	34	19	(	(	PUNCT
aijmsr-372	34	20	trani	trani	NOUN
aijmsr-372	34	21	,	,	PUNCT
aijmsr-372	34	22	2011	2011	NUM
aijmsr-372	34	23	)	)	PUNCT
aijmsr-372	34	24	.	.	PUNCT
aijmsr-372	35	1	apart	apart	ADV
aijmsr-372	35	2	from	from	ADP
aijmsr-372	35	3	pp	pp	ADV
aijmsr-372	35	4	and	and	CCONJ
aijmsr-372	35	5	lt	lt	NOUN
aijmsr-372	35	6	,	,	PUNCT
aijmsr-372	35	7	there	there	PRON
aijmsr-372	35	8	is	be	VERB
aijmsr-372	35	9	focus	focus	NOUN
aijmsr-372	35	10	on	on	ADP
aijmsr-372	35	11	the	the	DET
aijmsr-372	35	12	queue	queue	NOUN
aijmsr-372	35	13	model	model	NOUN
aijmsr-372	35	14	itself	itself	PRON
aijmsr-372	35	15	(	(	PUNCT
aijmsr-372	35	16	adeniran	adeniran	NOUN
aijmsr-372	35	17	and	and	CCONJ
aijmsr-372	35	18	kanyio	kanyio	NOUN
aijmsr-372	35	19	,	,	PUNCT
aijmsr-372	35	20	2019	2019	NUM
aijmsr-372	35	21	)	)	PUNCT
aijmsr-372	35	22	.	.	PUNCT
aijmsr-372	36	1	2.2	2.2	NUM
aijmsr-372	36	2	modelling	modelling	NOUN
aijmsr-372	36	3	of	of	ADP
aijmsr-372	36	4	single	single	ADJ
aijmsr-372	36	5	queue	queue	NOUN
aijmsr-372	36	6	system	system	NOUN
aijmsr-372	36	7	2.2.1	2.2.1	NUM
aijmsr-372	36	8	laplace	laplace	NOUN
aijmsr-372	36	9	transform	transform	VERB
aijmsr-372	36	10	the	the	DET
aijmsr-372	36	11	laplace	laplace	NOUN
aijmsr-372	36	12	transform	transform	NOUN
aijmsr-372	36	13	lx(s	lx(s	NOUN
aijmsr-372	36	14	)	)	PUNCT
aijmsr-372	36	15	of	of	ADP
aijmsr-372	36	16	a	a	DET
aijmsr-372	36	17	nonnegative	nonnegative	ADJ
aijmsr-372	36	18	random	random	ADJ
aijmsr-372	36	19	variable	variable	NOUN
aijmsr-372	36	20	x	x	PUNCT
aijmsr-372	36	21	with	with	ADP
aijmsr-372	36	22	distribution	distribution	NOUN
aijmsr-372	36	23	function	function	NOUN
aijmsr-372	36	24	f(x	f(x	PROPN
aijmsr-372	36	25	)	)	PUNCT
aijmsr-372	36	26	is	be	AUX
aijmsr-372	36	27	define	define	VERB
aijmsr-372	36	28	as	as	ADP
aijmsr-372	36	29	:	:	PUNCT
aijmsr-372	36	30	lx(s	lx(s	X
aijmsr-372	36	31	)	)	PUNCT
aijmsr-372	36	32	=	=	SYM
aijmsr-372	36	33	e(e−sx	e(e−sx	NOUN
aijmsr-372	36	34	)	)	PUNCT
aijmsr-372	36	35	=	=	SYM
aijmsr-372	37	1	∫	∫	PROPN
aijmsr-372	37	2	e−sx∞	e−sx∞	PROPN
aijmsr-372	37	3	x=0	x=0	PROPN
aijmsr-372	38	1	f(x)dx	f(x)dx	NUM
aijmsr-372	38	2	…	…	PUNCT
aijmsr-372	38	3	…	…	PUNCT
aijmsr-372	38	4	…	…	PUNCT
aijmsr-372	38	5	……	……	NOUN
aijmsr-372	38	6	……	……	NOUN
aijmsr-372	38	7	equation	equation	NOUN
aijmsr-372	38	8	1	1	NUM
aijmsr-372	38	9	it	it	PRON
aijmsr-372	38	10	can	can	AUX
aijmsr-372	38	11	be	be	AUX
aijmsr-372	38	12	noted	note	VERB
aijmsr-372	38	13	that	that	SCONJ
aijmsr-372	38	14	lx(0	lx(0	PROPN
aijmsr-372	38	15	)	)	PUNCT
aijmsr-372	38	16	=	=	PUNCT
aijmsr-372	38	17	e(e−x	e(e−x	NOUN
aijmsr-372	38	18	.0	.0	NUM
aijmsr-372	38	19	)	)	PUNCT
aijmsr-372	39	1	=	=	SYM
aijmsr-372	39	2	e(1	e(1	X
aijmsr-372	39	3	)	)	PUNCT
aijmsr-372	39	4	=	=	SYM
aijmsr-372	39	5	1	1	NUM
aijmsr-372	39	6	…	…	SYM
aijmsr-372	39	7	…	…	PUNCT
aijmsr-372	39	8	…	…	PUNCT
aijmsr-372	39	9	……	……	NOUN
aijmsr-372	39	10	……	……	NOUN
aijmsr-372	39	11	equation	equation	NOUN
aijmsr-372	39	12	2	2	NUM
aijmsr-372	39	13	and	and	CCONJ
aijmsr-372	39	14	l1	l1	PROPN
aijmsr-372	39	15	x(0	x(0	PROPN
aijmsr-372	39	16	)	)	PUNCT
aijmsr-372	39	17	=	=	SYM
aijmsr-372	39	18	e((e−sx)1)|s=0	e((e−sx)1)|s=0	NOUN
aijmsr-372	39	19	=	=	SYM
aijmsr-372	39	20	e(−xe−sx)|s=0	e(−xe−sx)|s=0	PROPN
aijmsr-372	39	21	=	=	SYM
aijmsr-372	39	22	−e(x	−e(x	PROPN
aijmsr-372	39	23	)	)	PUNCT
aijmsr-372	39	24	…	…	PUNCT
aijmsr-372	39	25	…	…	PUNCT
aijmsr-372	39	26	…	…	PUNCT
aijmsr-372	39	27	……	……	NOUN
aijmsr-372	39	28	……	……	NOUN
aijmsr-372	39	29	equation	equation	NOUN
aijmsr-372	39	30	3	3	NUM
aijmsr-372	39	31	correspondingly	correspondingly	ADV
aijmsr-372	39	32	,	,	PUNCT
aijmsr-372	39	33	l	l	PROPN
aijmsr-372	39	34	(	(	PUNCT
aijmsr-372	39	35	k	k	NOUN
aijmsr-372	39	36	)	)	PUNCT
aijmsr-372	39	37	x	x	SYM
aijmsr-372	39	38	(	(	PUNCT
aijmsr-372	39	39	0	0	NUM
aijmsr-372	39	40	)	)	PUNCT
aijmsr-372	39	41	=	=	SYM
aijmsr-372	39	42	(	(	PUNCT
aijmsr-372	39	43	−1)ke(xk	−1)ke(xk	NOUN
aijmsr-372	39	44	)	)	PUNCT
aijmsr-372	39	45	…	…	PUNCT
aijmsr-372	39	46	…	…	PUNCT
aijmsr-372	39	47	…	…	PUNCT
aijmsr-372	39	48	……	……	NOUN
aijmsr-372	39	49	……	……	NOUN
aijmsr-372	39	50	equation	equation	NOUN
aijmsr-372	39	51	4	4	NUM
aijmsr-372	39	52	there	there	PRON
aijmsr-372	39	53	are	be	VERB
aijmsr-372	39	54	many	many	ADJ
aijmsr-372	39	55	useful	useful	ADJ
aijmsr-372	39	56	properties	property	NOUN
aijmsr-372	39	57	of	of	ADP
aijmsr-372	39	58	laplace	laplace	NOUN
aijmsr-372	39	59	transform	transform	NOUN
aijmsr-372	39	60	.	.	PUNCT
aijmsr-372	40	1	these	these	DET
aijmsr-372	40	2	properties	property	NOUN
aijmsr-372	40	3	can	can	AUX
aijmsr-372	40	4	make	make	VERB
aijmsr-372	40	5	calculations	calculation	NOUN
aijmsr-372	40	6	easier	easy	ADJ
aijmsr-372	40	7	when	when	SCONJ
aijmsr-372	40	8	dealing	deal	VERB
aijmsr-372	40	9	with	with	ADP
aijmsr-372	40	10	probability	probability	NOUN
aijmsr-372	40	11	.	.	PUNCT
aijmsr-372	41	1	for	for	ADP
aijmsr-372	41	2	instance	instance	NOUN
aijmsr-372	41	3	,	,	PUNCT
aijmsr-372	41	4	let	let	VERB
aijmsr-372	41	5	x	x	PRON
aijmsr-372	41	6	,	,	PUNCT
aijmsr-372	41	7	y	y	PROPN
aijmsr-372	41	8	,	,	PUNCT
aijmsr-372	41	9	z	z	X
aijmsr-372	41	10	be	be	VERB
aijmsr-372	41	11	three	three	NUM
aijmsr-372	41	12	random	random	ADJ
aijmsr-372	41	13	variables	variable	NOUN
aijmsr-372	41	14	with	with	ADP
aijmsr-372	41	15	z	z	NOUN
aijmsr-372	41	16	=	=	PUNCT
aijmsr-372	41	17	x	x	PUNCT
aijmsr-372	42	1	+	+	NOUN
aijmsr-372	42	2	y	y	PROPN
aijmsr-372	42	3	and	and	CCONJ
aijmsr-372	42	4	x	x	PROPN
aijmsr-372	42	5	,	,	PUNCT
aijmsr-372	42	6	y	y	PROPN
aijmsr-372	42	7	are	be	AUX
aijmsr-372	42	8	independent	independent	ADJ
aijmsr-372	42	9	.	.	PUNCT
aijmsr-372	43	1	then	then	ADV
aijmsr-372	43	2	the	the	DET
aijmsr-372	43	3	laplace	laplace	NOUN
aijmsr-372	43	4	transform	transform	NOUN
aijmsr-372	43	5	of	of	ADP
aijmsr-372	43	6	z	z	NOUN
aijmsr-372	43	7	can	can	AUX
aijmsr-372	43	8	be	be	AUX
aijmsr-372	43	9	found	find	VERB
aijmsr-372	43	10	as	as	ADP
aijmsr-372	43	11	:	:	PUNCT
aijmsr-372	43	12	lz(s	lz(s	NUM
aijmsr-372	43	13	)	)	PUNCT
aijmsr-372	43	14	=	=	SYM
aijmsr-372	43	15	lx(s	lx(s	X
aijmsr-372	43	16	)	)	PUNCT
aijmsr-372	43	17	·	·	PUNCT
aijmsr-372	43	18	ly	ly	X
aijmsr-372	43	19	(	(	PUNCT
aijmsr-372	43	20	s	s	NOUN
aijmsr-372	43	21	)	)	PUNCT
aijmsr-372	43	22	…	…	PUNCT
aijmsr-372	43	23	…	…	PUNCT
aijmsr-372	43	24	…	…	PUNCT
aijmsr-372	43	25	……	……	NOUN
aijmsr-372	43	26	……	……	NOUN
aijmsr-372	43	27	equation	equation	NOUN
aijmsr-372	43	28	5	5	NUM
aijmsr-372	43	29	moreover	moreover	ADV
aijmsr-372	43	30	,	,	PUNCT
aijmsr-372	43	31	when	when	SCONJ
aijmsr-372	43	32	z	z	NOUN
aijmsr-372	43	33	with	with	ADP
aijmsr-372	43	34	probability	probability	NOUN
aijmsr-372	43	35	p	p	NOUN
aijmsr-372	43	36	equals	equal	VERB
aijmsr-372	43	37	x	x	PRON
aijmsr-372	43	38	,	,	PUNCT
aijmsr-372	43	39	with	with	ADP
aijmsr-372	43	40	probability	probability	NOUN
aijmsr-372	43	41	1	1	NUM
aijmsr-372	43	42	−	−	PROPN
aijmsr-372	43	43	p	p	NOUN
aijmsr-372	43	44	equals	equal	VERB
aijmsr-372	43	45	y	y	PROPN
aijmsr-372	43	46	,	,	PUNCT
aijmsr-372	43	47	then	then	ADV
aijmsr-372	43	48	lz(s	lz(s	PUNCT
aijmsr-372	43	49	)	)	PUNCT
aijmsr-372	44	1	=	=	SYM
aijmsr-372	44	2	plx(s	plx(s	PROPN
aijmsr-372	44	3	)	)	PUNCT
aijmsr-372	45	1	+	+	CCONJ
aijmsr-372	45	2	(	(	PUNCT
aijmsr-372	45	3	1	1	NUM
aijmsr-372	45	4	−	−	PROPN
aijmsr-372	45	5	p)ly	p)ly	PROPN
aijmsr-372	45	6	(	(	PUNCT
aijmsr-372	45	7	s	s	NOUN
aijmsr-372	45	8	)	)	PUNCT
aijmsr-372	45	9	…	…	PUNCT
aijmsr-372	45	10	…	…	PUNCT
aijmsr-372	45	11	…	…	PUNCT
aijmsr-372	45	12	……	……	NOUN
aijmsr-372	45	13	……	……	NOUN
aijmsr-372	45	14	equation	equation	NOUN
aijmsr-372	45	15	6	6	NUM
aijmsr-372	45	16	laplace	laplace	NOUN
aijmsr-372	45	17	transforms	transform	VERB
aijmsr-372	45	18	of	of	ADP
aijmsr-372	45	19	some	some	DET
aijmsr-372	45	20	useful	useful	ADJ
aijmsr-372	45	21	distributions	distribution	NOUN
aijmsr-372	45	22	can	can	AUX
aijmsr-372	45	23	now	now	ADV
aijmsr-372	45	24	be	be	AUX
aijmsr-372	45	25	introduced	introduce	VERB
aijmsr-372	45	26	.	.	PUNCT
aijmsr-372	46	1	a.	a.	NOUN
aijmsr-372	46	2	suppose	suppose	VERB
aijmsr-372	46	3	x	x	PRON
aijmsr-372	46	4	is	be	AUX
aijmsr-372	46	5	a	a	DET
aijmsr-372	46	6	random	random	ADJ
aijmsr-372	46	7	variable	variable	NOUN
aijmsr-372	46	8	which	which	PRON
aijmsr-372	46	9	follows	follow	VERB
aijmsr-372	46	10	an	an	DET
aijmsr-372	46	11	exponential	exponential	ADJ
aijmsr-372	46	12	distribution	distribution	NOUN
aijmsr-372	46	13	with	with	ADP
aijmsr-372	46	14	rate	rate	NOUN
aijmsr-372	46	15	λ	λ	PROPN
aijmsr-372	46	16	.	.	PUNCT
aijmsr-372	47	1	the	the	DET
aijmsr-372	47	2	laplace	laplace	NOUN
aijmsr-372	47	3	transform	transform	NOUN
aijmsr-372	47	4	of	of	ADP
aijmsr-372	47	5	x	x	PUNCT
aijmsr-372	47	6	is	be	AUX
aijmsr-372	47	7	lx(s	lx(s	X
aijmsr-372	47	8	)	)	PUNCT
aijmsr-372	48	1	=	=	SYM
aijmsr-372	48	2	(	(	PUNCT
aijmsr-372	48	3	λ	λ	NOUN
aijmsr-372	48	4	)	)	PUNCT
aijmsr-372	48	5	λ	λ	PROPN
aijmsr-372	48	6	+	+	SYM
aijmsr-372	48	7	s	s	PART
aijmsr-372	48	8	…	…	PUNCT
aijmsr-372	48	9	…	…	PUNCT
aijmsr-372	48	10	…	…	PUNCT
aijmsr-372	48	11	……	……	NOUN
aijmsr-372	48	12	……	……	NOUN
aijmsr-372	48	13	equation	equation	NOUN
aijmsr-372	48	14	7	7	NUM
aijmsr-372	48	15	b.	b.	NOUN
aijmsr-372	48	16	suppose	suppose	VERB
aijmsr-372	48	17	x	x	PRON
aijmsr-372	48	18	is	be	AUX
aijmsr-372	48	19	a	a	DET
aijmsr-372	48	20	random	random	ADJ
aijmsr-372	48	21	variable	variable	NOUN
aijmsr-372	48	22	which	which	PRON
aijmsr-372	48	23	follows	follow	VERB
aijmsr-372	48	24	an	an	DET
aijmsr-372	48	25	erlang	erlang	NOUN
aijmsr-372	49	1	−	−	NOUN
aijmsr-372	49	2	r	r	NOUN
aijmsr-372	49	3	distribution	distribution	NOUN
aijmsr-372	49	4	with	with	ADP
aijmsr-372	49	5	rate	rate	NOUN
aijmsr-372	49	6	λ	λ	PROPN
aijmsr-372	49	7	.	.	PUNCT
aijmsr-372	50	1	then	then	ADV
aijmsr-372	50	2	x	x	PRON
aijmsr-372	50	3	can	can	AUX
aijmsr-372	50	4	be	be	AUX
aijmsr-372	50	5	written	write	VERB
aijmsr-372	50	6	as	as	ADP
aijmsr-372	50	7	:	:	PUNCT
aijmsr-372	50	8	x	x	PUNCT
aijmsr-372	51	1	=	=	SYM
aijmsr-372	51	2	x1	x1	PROPN
aijmsr-372	52	1	+	+	NUM
aijmsr-372	52	2	x2	x2	PROPN
aijmsr-372	52	3	+	+	CCONJ
aijmsr-372	52	4	·	·	PUNCT
aijmsr-372	52	5	·	·	PUNCT
aijmsr-372	52	6	·	·	PUNCT
aijmsr-372	53	1	+	+	NUM
aijmsr-372	53	2	xr	xr	PROPN
aijmsr-372	53	3	…	…	PUNCT
aijmsr-372	53	4	…	…	PUNCT
aijmsr-372	53	5	…	…	PUNCT
aijmsr-372	53	6	……	……	NOUN
aijmsr-372	53	7	……	……	NOUN
aijmsr-372	53	8	equation	equation	NOUN
aijmsr-372	53	9	8	8	NUM
aijmsr-372	53	10	where	where	SCONJ
aijmsr-372	53	11	xi	xi	PROPN
aijmsr-372	53	12	are	be	AUX
aijmsr-372	53	13	i.i.d	i.i.d	ADJ
aijmsr-372	53	14	.	.	PUNCT
aijmsr-372	53	15	exponential	exponential	PROPN
aijmsr-372	53	16	with	with	ADP
aijmsr-372	53	17	rate	rate	NOUN
aijmsr-372	53	18	λ	λ	PROPN
aijmsr-372	53	19	.	.	PUNCT
aijmsr-372	53	20	therefore	therefore	ADV
aijmsr-372	53	21	,	,	PUNCT
aijmsr-372	53	22	we	we	PRON
aijmsr-372	53	23	have	have	VERB
aijmsr-372	53	24	lx(s	lx(s	X
aijmsr-372	53	25	)	)	PUNCT
aijmsr-372	53	26	=	=	SYM
aijmsr-372	53	27	lx1(s	lx1(s	X
aijmsr-372	53	28	)	)	PUNCT
aijmsr-372	53	29	·	·	PUNCT
aijmsr-372	53	30	lx2(s	lx2(s	NOUN
aijmsr-372	53	31	)	)	PUNCT
aijmsr-372	53	32	…	…	PUNCT
aijmsr-372	53	33	lxr(s	lxr(s	PROPN
aijmsr-372	53	34	)	)	PUNCT
aijmsr-372	53	35	=	=	PUNCT
aijmsr-372	54	1	(	(	PUNCT
aijmsr-372	54	2	λ	λ	X
aijmsr-372	54	3	λ	λ	X
aijmsr-372	54	4	+	+	SYM
aijmsr-372	54	5	s	s	PART
aijmsr-372	54	6	)	)	PUNCT
aijmsr-372	54	7	n	n	NOUN
aijmsr-372	54	8	…	…	PUNCT
aijmsr-372	54	9	…	…	PUNCT
aijmsr-372	54	10	…	…	PUNCT
aijmsr-372	54	11	……	……	NOUN
aijmsr-372	54	12	……	……	NOUN
aijmsr-372	54	13	equation	equation	NOUN
aijmsr-372	54	14	9	9	NUM
aijmsr-372	54	15	c.	c.	NOUN
aijmsr-372	54	16	suppose	suppose	VERB
aijmsr-372	54	17	x	x	PRON
aijmsr-372	54	18	is	be	AUX
aijmsr-372	54	19	a	a	DET
aijmsr-372	54	20	constant	constant	ADJ
aijmsr-372	54	21	real	real	ADJ
aijmsr-372	54	22	number	number	NOUN
aijmsr-372	54	23	c	c	NOUN
aijmsr-372	54	24	,	,	PUNCT
aijmsr-372	54	25	then	then	ADV
aijmsr-372	54	26	lx(s	lx(s	X
aijmsr-372	54	27	)	)	PUNCT
aijmsr-372	54	28	=	=	SYM
aijmsr-372	54	29	e(e−sx	e(e−sx	NOUN
aijmsr-372	54	30	)	)	PUNCT
aijmsr-372	54	31	copyright	copyright	NOUN
aijmsr-372	54	32	©	©	PROPN
aijmsr-372	54	33	cc	cc	PROPN
aijmsr-372	54	34	-	-	PUNCT
aijmsr-372	54	35	by	by	ADP
aijmsr-372	54	36	-	-	PUNCT
aijmsr-372	54	37	nc	nc	PROPN
aijmsr-372	54	38	2019	2019	NUM
aijmsr-372	54	39	,	,	PUNCT
aijmsr-372	54	40	cribfb	cribfb	VERB
aijmsr-372	54	41	|	|	CCONJ
aijmsr-372	54	42	aijmsr	aijmsr	NOUN
aijmsr-372	54	43	www.cribfb.com/journal/index.php/aijmsr	www.cribfb.com/journal/index.php/aijmsr	VERB
aijmsr-372	54	44	american	american	PROPN
aijmsr-372	54	45	international	international	PROPN
aijmsr-372	54	46	journal	journal	PROPN
aijmsr-372	54	47	of	of	ADP
aijmsr-372	54	48	multidisciplinary	multidisciplinary	ADJ
aijmsr-372	54	49	scientific	scientific	ADJ
aijmsr-372	54	50	research	research	NOUN
aijmsr-372	54	51	vol	vol	NOUN
aijmsr-372	54	52	.	.	PROPN
aijmsr-372	55	1	5	5	NUM
aijmsr-372	55	2	,	,	PUNCT
aijmsr-372	55	3	no	no	INTJ
aijmsr-372	55	4	.	.	NOUN
aijmsr-372	55	5	3	3	NUM
aijmsr-372	55	6	;	;	PUNCT
aijmsr-372	55	7	2019	2019	NUM
aijmsr-372	55	8	12	12	NUM
aijmsr-372	55	9	=	=	SYM
aijmsr-372	55	10	e(e−sc	e(e−sc	NOUN
aijmsr-372	55	11	)	)	PUNCT
aijmsr-372	55	12	=	=	SYM
aijmsr-372	55	13	e−sc	e−sc	PROPN
aijmsr-372	55	14	…	…	PUNCT
aijmsr-372	55	15	…	…	PUNCT
aijmsr-372	55	16	…	…	PUNCT
aijmsr-372	55	17	……	……	NOUN
aijmsr-372	55	18	……	……	NOUN
aijmsr-372	55	19	equation	equation	NOUN
aijmsr-372	55	20	10	10	NUM
aijmsr-372	55	21	(	(	PUNCT
aijmsr-372	55	22	culled	cull	VERB
aijmsr-372	55	23	from	from	ADP
aijmsr-372	55	24	adeniran	adeniran	NOUN
aijmsr-372	55	25	and	and	CCONJ
aijmsr-372	55	26	kanyio	kanyio	NOUN
aijmsr-372	55	27	,	,	PUNCT
aijmsr-372	55	28	2019	2019	NUM
aijmsr-372	55	29	)	)	PUNCT
aijmsr-372	55	30	2.2.2	2.2.2	NUM
aijmsr-372	55	31	basic	basic	ADJ
aijmsr-372	55	32	queuing	queuing	NOUN
aijmsr-372	55	33	systems	system	NOUN
aijmsr-372	55	34	kendall	kendall	PROPN
aijmsr-372	55	35	’s	’s	PART
aijmsr-372	55	36	notation	notation	NOUN
aijmsr-372	55	37	shall	shall	AUX
aijmsr-372	55	38	be	be	AUX
aijmsr-372	55	39	used	use	VERB
aijmsr-372	55	40	to	to	PART
aijmsr-372	55	41	describe	describe	VERB
aijmsr-372	55	42	a	a	DET
aijmsr-372	55	43	queuing	queue	VERB
aijmsr-372	55	44	system	system	NOUN
aijmsr-372	55	45	as	as	SCONJ
aijmsr-372	55	46	denoted	denote	VERB
aijmsr-372	55	47	by	by	ADP
aijmsr-372	55	48	:	:	PUNCT
aijmsr-372	55	49	a	a	PROPN
aijmsr-372	55	50	/	/	SYM
aijmsr-372	55	51	b	b	NOUN
aijmsr-372	55	52	/	/	SYM
aijmsr-372	55	53	m	m	NOUN
aijmsr-372	55	54	/	/	SYM
aijmsr-372	55	55	k	k	NOUN
aijmsr-372	55	56	/	/	SYM
aijmsr-372	55	57	n	n	CCONJ
aijmsr-372	55	58	/	/	SYM
aijmsr-372	55	59	d	d	NOUN
aijmsr-372	55	60	…	…	PUNCT
aijmsr-372	55	61	…	…	PUNCT
aijmsr-372	55	62	…	…	PUNCT
aijmsr-372	55	63	……	……	NOUN
aijmsr-372	55	64	……	……	NOUN
aijmsr-372	55	65	.	.	PUNCT
aijmsr-372	56	1	equation	equation	NOUN
aijmsr-372	56	2	11	11	NUM
aijmsr-372	56	3	(	(	PUNCT
aijmsr-372	56	4	adan	adan	PROPN
aijmsr-372	56	5	and	and	CCONJ
aijmsr-372	56	6	resing	resing	PROPN
aijmsr-372	56	7	,	,	PUNCT
aijmsr-372	56	8	2016	2016	NUM
aijmsr-372	56	9	)	)	PUNCT
aijmsr-372	56	10	where	where	SCONJ
aijmsr-372	56	11	a	a	DET
aijmsr-372	56	12	:	:	PUNCT
aijmsr-372	56	13	distribution	distribution	NOUN
aijmsr-372	56	14	of	of	ADP
aijmsr-372	56	15	the	the	DET
aijmsr-372	56	16	interarrival	interarrival	PROPN
aijmsr-372	56	17	times	times	PROPN
aijmsr-372	56	18	b	b	PROPN
aijmsr-372	56	19	:	:	PUNCT
aijmsr-372	56	20	distribution	distribution	NOUN
aijmsr-372	56	21	of	of	ADP
aijmsr-372	56	22	the	the	DET
aijmsr-372	56	23	service	service	NOUN
aijmsr-372	56	24	times	times	PROPN
aijmsr-372	56	25	m	m	PROPN
aijmsr-372	56	26	:	:	PUNCT
aijmsr-372	56	27	number	number	NOUN
aijmsr-372	56	28	of	of	ADP
aijmsr-372	56	29	servers	server	NOUN
aijmsr-372	56	30	k	k	NOUN
aijmsr-372	56	31	:	:	PUNCT
aijmsr-372	56	32	capacity	capacity	NOUN
aijmsr-372	56	33	of	of	ADP
aijmsr-372	56	34	the	the	DET
aijmsr-372	56	35	system	system	NOUN
aijmsr-372	56	36	,	,	PUNCT
aijmsr-372	56	37	the	the	DET
aijmsr-372	56	38	maximum	maximum	ADJ
aijmsr-372	56	39	number	number	NOUN
aijmsr-372	56	40	of	of	ADP
aijmsr-372	56	41	passengers	passenger	NOUN
aijmsr-372	56	42	in	in	ADP
aijmsr-372	56	43	the	the	DET
aijmsr-372	56	44	system	system	NOUN
aijmsr-372	56	45	including	include	VERB
aijmsr-372	56	46	the	the	DET
aijmsr-372	56	47	one	one	NOUN
aijmsr-372	56	48	being	be	AUX
aijmsr-372	56	49	serviced	service	VERB
aijmsr-372	56	50	n	n	NUM
aijmsr-372	56	51	:	:	PUNCT
aijmsr-372	56	52	population	population	NOUN
aijmsr-372	56	53	size	size	NOUN
aijmsr-372	56	54	of	of	ADP
aijmsr-372	56	55	sources	source	NOUN
aijmsr-372	56	56	of	of	ADP
aijmsr-372	56	57	passengers	passenger	NOUN
aijmsr-372	56	58	d	d	NOUN
aijmsr-372	56	59	:	:	PUNCT
aijmsr-372	56	60	service	service	NOUN
aijmsr-372	56	61	discipline	discipline	NOUN
aijmsr-372	56	62	g	g	PROPN
aijmsr-372	56	63	shall	shall	AUX
aijmsr-372	56	64	be	be	AUX
aijmsr-372	56	65	used	use	VERB
aijmsr-372	56	66	to	to	PART
aijmsr-372	56	67	denote	denote	VERB
aijmsr-372	56	68	general	general	ADJ
aijmsr-372	56	69	distribution	distribution	NOUN
aijmsr-372	56	70	,	,	PUNCT
aijmsr-372	56	71	m	m	AUX
aijmsr-372	56	72	used	use	VERB
aijmsr-372	56	73	for	for	ADP
aijmsr-372	56	74	exponential	exponential	ADJ
aijmsr-372	56	75	distribution	distribution	NOUN
aijmsr-372	56	76	(	(	PUNCT
aijmsr-372	56	77	m	m	VERB
aijmsr-372	56	78	stands	stand	VERB
aijmsr-372	56	79	for	for	ADP
aijmsr-372	56	80	memoryless	memoryless	NOUN
aijmsr-372	56	81	)	)	PUNCT
aijmsr-372	56	82	,	,	PUNCT
aijmsr-372	56	83	d	d	X
aijmsr-372	56	84	be	be	AUX
aijmsr-372	56	85	used	use	VERB
aijmsr-372	56	86	for	for	ADP
aijmsr-372	56	87	deterministic	deterministic	ADJ
aijmsr-372	56	88	times	time	NOUN
aijmsr-372	56	89	(	(	PUNCT
aijmsr-372	56	90	sztrik	sztrik	PROPN
aijmsr-372	56	91	,	,	PUNCT
aijmsr-372	56	92	2016	2016	NUM
aijmsr-372	56	93	)	)	PUNCT
aijmsr-372	56	94	.	.	PUNCT
aijmsr-372	57	1	a	a	X
aijmsr-372	57	2	/	/	SYM
aijmsr-372	57	3	b	b	NOUN
aijmsr-372	57	4	/	/	SYM
aijmsr-372	57	5	m	m	VERB
aijmsr-372	57	6	is	be	AUX
aijmsr-372	57	7	also	also	ADV
aijmsr-372	57	8	used	use	VERB
aijmsr-372	57	9	to	to	PART
aijmsr-372	57	10	describe	describe	VERB
aijmsr-372	57	11	a	a	DET
aijmsr-372	57	12	queuing	queue	VERB
aijmsr-372	57	13	system	system	NOUN
aijmsr-372	57	14	,	,	PUNCT
aijmsr-372	57	15	where	where	SCONJ
aijmsr-372	57	16	:	:	PUNCT
aijmsr-372	57	17	a	a	PRON
aijmsr-372	57	18	stands	stand	VERB
aijmsr-372	57	19	for	for	ADP
aijmsr-372	57	20	distribution	distribution	NOUN
aijmsr-372	57	21	of	of	ADP
aijmsr-372	57	22	interarrival	interarrival	PROPN
aijmsr-372	57	23	times	times	PROPN
aijmsr-372	57	24	,	,	PUNCT
aijmsr-372	57	25	b	b	PROPN
aijmsr-372	57	26	stands	stand	VERB
aijmsr-372	57	27	for	for	ADP
aijmsr-372	57	28	distribution	distribution	NOUN
aijmsr-372	57	29	of	of	ADP
aijmsr-372	57	30	service	service	NOUN
aijmsr-372	57	31	times	time	NOUN
aijmsr-372	57	32	and	and	CCONJ
aijmsr-372	57	33	m	m	PROPN
aijmsr-372	57	34	stands	stand	VERB
aijmsr-372	57	35	for	for	ADP
aijmsr-372	57	36	number	number	NOUN
aijmsr-372	57	37	of	of	ADP
aijmsr-372	57	38	servers	server	NOUN
aijmsr-372	57	39	.	.	PUNCT
aijmsr-372	58	1	hence	hence	ADV
aijmsr-372	58	2	m	m	PROPN
aijmsr-372	58	3	/	/	SYM
aijmsr-372	58	4	m/1	m/1	NOUN
aijmsr-372	58	5	denotes	denote	VERB
aijmsr-372	58	6	a	a	DET
aijmsr-372	58	7	system	system	NOUN
aijmsr-372	58	8	with	with	ADP
aijmsr-372	58	9	poisson	poisson	PROPN
aijmsr-372	58	10	arrivals	arrival	NOUN
aijmsr-372	58	11	,	,	PUNCT
aijmsr-372	58	12	exponentially	exponentially	ADV
aijmsr-372	58	13	distributed	distribute	VERB
aijmsr-372	58	14	service	service	NOUN
aijmsr-372	58	15	times	time	NOUN
aijmsr-372	58	16	and	and	CCONJ
aijmsr-372	58	17	a	a	DET
aijmsr-372	58	18	single	single	ADJ
aijmsr-372	58	19	server	server	NOUN
aijmsr-372	58	20	.	.	PUNCT
aijmsr-372	59	1	m	m	PROPN
aijmsr-372	59	2	/	/	SYM
aijmsr-372	59	3	g	g	PROPN
aijmsr-372	59	4	/	/	SYM
aijmsr-372	59	5	m	m	PROPN
aijmsr-372	59	6	denotes	denote	VERB
aijmsr-372	59	7	an	an	DET
aijmsr-372	59	8	mserver	mserver	NOUN
aijmsr-372	59	9	system	system	NOUN
aijmsr-372	59	10	with	with	ADP
aijmsr-372	59	11	poisson	poisson	PROPN
aijmsr-372	59	12	arrivals	arrival	NOUN
aijmsr-372	59	13	and	and	CCONJ
aijmsr-372	59	14	generally	generally	ADV
aijmsr-372	59	15	distributed	distribute	VERB
aijmsr-372	59	16	service	service	NOUN
aijmsr-372	59	17	times	time	NOUN
aijmsr-372	59	18	,	,	PUNCT
aijmsr-372	59	19	and	and	CCONJ
aijmsr-372	59	20	so	so	ADV
aijmsr-372	59	21	on	on	ADV
aijmsr-372	59	22	.	.	PUNCT
aijmsr-372	60	1	in	in	ADP
aijmsr-372	60	2	this	this	DET
aijmsr-372	60	3	section	section	NOUN
aijmsr-372	60	4	,	,	PUNCT
aijmsr-372	60	5	the	the	DET
aijmsr-372	60	6	basic	basic	ADJ
aijmsr-372	60	7	queuing	queuing	NOUN
aijmsr-372	60	8	models	model	NOUN
aijmsr-372	60	9	(	(	PUNCT
aijmsr-372	60	10	m	m	NOUN
aijmsr-372	60	11	/	/	SYM
aijmsr-372	60	12	m/1	m/1	NOUN
aijmsr-372	60	13	system	system	NOUN
aijmsr-372	60	14	)	)	PUNCT
aijmsr-372	60	15	,	,	PUNCT
aijmsr-372	60	16	which	which	PRON
aijmsr-372	60	17	is	be	AUX
aijmsr-372	60	18	a	a	DET
aijmsr-372	60	19	system	system	NOUN
aijmsr-372	60	20	with	with	ADP
aijmsr-372	60	21	poisson	poisson	PROPN
aijmsr-372	60	22	arrivals	arrival	NOUN
aijmsr-372	60	23	,	,	PUNCT
aijmsr-372	60	24	exponentially	exponentially	ADV
aijmsr-372	60	25	distributed	distribute	VERB
aijmsr-372	60	26	service	service	NOUN
aijmsr-372	60	27	times	time	NOUN
aijmsr-372	60	28	and	and	CCONJ
aijmsr-372	60	29	a	a	DET
aijmsr-372	60	30	single	single	ADJ
aijmsr-372	60	31	server	server	NOUN
aijmsr-372	60	32	.	.	PUNCT
aijmsr-372	61	1	the	the	DET
aijmsr-372	61	2	following	follow	VERB
aijmsr-372	61	3	part	part	NOUN
aijmsr-372	61	4	is	be	AUX
aijmsr-372	61	5	retrieved	retrieve	VERB
aijmsr-372	61	6	from	from	ADP
aijmsr-372	61	7	queuing	queue	VERB
aijmsr-372	61	8	systems	system	NOUN
aijmsr-372	61	9	(	(	PUNCT
aijmsr-372	61	10	adan	adan	PROPN
aijmsr-372	61	11	and	and	CCONJ
aijmsr-372	61	12	resing	resing	PROPN
aijmsr-372	61	13	,	,	PUNCT
aijmsr-372	61	14	2016	2016	NUM
aijmsr-372	61	15	)	)	PUNCT
aijmsr-372	61	16	.	.	PUNCT
aijmsr-372	62	1	firstly	firstly	ADV
aijmsr-372	62	2	,	,	PUNCT
aijmsr-372	62	3	it	it	PRON
aijmsr-372	62	4	is	be	AUX
aijmsr-372	62	5	assumed	assume	VERB
aijmsr-372	62	6	that	that	SCONJ
aijmsr-372	62	7	inter	inter	ADJ
aijmsr-372	62	8	-	-	NOUN
aijmsr-372	62	9	arrivals	arrival	NOUN
aijmsr-372	62	10	follow	follow	VERB
aijmsr-372	62	11	an	an	DET
aijmsr-372	62	12	exponential	exponential	ADJ
aijmsr-372	62	13	distribution	distribution	NOUN
aijmsr-372	62	14	with	with	ADP
aijmsr-372	62	15	rate	rate	NOUN
aijmsr-372	62	16	λ	λ	PROPN
aijmsr-372	62	17	,	,	PUNCT
aijmsr-372	62	18	and	and	CCONJ
aijmsr-372	62	19	service	service	NOUN
aijmsr-372	62	20	time	time	NOUN
aijmsr-372	62	21	follows	follow	VERB
aijmsr-372	62	22	the	the	DET
aijmsr-372	62	23	exponential	exponential	ADJ
aijmsr-372	62	24	distribution	distribution	NOUN
aijmsr-372	62	25	with	with	ADP
aijmsr-372	62	26	rate	rate	NOUN
aijmsr-372	62	27	µ.	µ.	NOUN
aijmsr-372	62	28	further	far	ADV
aijmsr-372	62	29	,	,	PUNCT
aijmsr-372	62	30	in	in	ADP
aijmsr-372	62	31	the	the	DET
aijmsr-372	62	32	single	single	ADJ
aijmsr-372	62	33	service	service	NOUN
aijmsr-372	62	34	model	model	NOUN
aijmsr-372	62	35	,	,	PUNCT
aijmsr-372	62	36	to	to	PART
aijmsr-372	62	37	avoid	avoid	VERB
aijmsr-372	62	38	queue	queue	NOUN
aijmsr-372	62	39	length	length	NOUN
aijmsr-372	62	40	instability	instability	NOUN
aijmsr-372	62	41	,	,	PUNCT
aijmsr-372	62	42	it	it	PRON
aijmsr-372	62	43	is	be	AUX
aijmsr-372	62	44	assume	assume	VERB
aijmsr-372	62	45	that	that	SCONJ
aijmsr-372	62	46	:	:	PUNCT
aijmsr-372	62	47	according	accord	VERB
aijmsr-372	62	48	to	to	ADP
aijmsr-372	62	49	adanikin	adanikin	PROPN
aijmsr-372	62	50	,	,	PUNCT
aijmsr-372	62	51	olutaiwo	olutaiwo	NOUN
aijmsr-372	62	52	and	and	CCONJ
aijmsr-372	62	53	obafemi	obafemi	ADV
aijmsr-372	62	54	(	(	PUNCT
aijmsr-372	62	55	2017	2017	NUM
aijmsr-372	62	56	)	)	PUNCT
aijmsr-372	62	57	,	,	PUNCT
aijmsr-372	62	58	utilization	utilization	NOUN
aijmsr-372	62	59	(	(	PUNCT
aijmsr-372	62	60	r	r	NOUN
aijmsr-372	62	61	)	)	PUNCT
aijmsr-372	62	62	=	=	SYM
aijmsr-372	62	63	average	average	ADJ
aijmsr-372	62	64	arrival	arrival	NOUN
aijmsr-372	62	65	rate	rate	NOUN
aijmsr-372	62	66	(	(	PUNCT
aijmsr-372	62	67	λ	λ	NOUN
aijmsr-372	62	68	)	)	PUNCT
aijmsr-372	62	69	average	average	ADJ
aijmsr-372	62	70	service	service	NOUN
aijmsr-372	62	71	rate	rate	NOUN
aijmsr-372	62	72	(	(	PUNCT
aijmsr-372	62	73	μ	μ	NOUN
aijmsr-372	62	74	)	)	PUNCT
aijmsr-372	62	75	<	<	X
aijmsr-372	62	76	1	1	NUM
aijmsr-372	62	77	…	…	SYM
aijmsr-372	62	78	…	…	PUNCT
aijmsr-372	62	79	…	…	PUNCT
aijmsr-372	62	80	…	…	PUNCT
aijmsr-372	62	81	……	……	NOUN
aijmsr-372	62	82	……	……	NOUN
aijmsr-372	62	83	..	..	PUNCT
aijmsr-372	62	84	equation	equation	NOUN
aijmsr-372	62	85	12	12	NUM
aijmsr-372	62	86	here	here	ADV
aijmsr-372	62	87	r	r	NOUN
aijmsr-372	62	88	is	be	AUX
aijmsr-372	62	89	the	the	DET
aijmsr-372	62	90	fraction	fraction	NOUN
aijmsr-372	62	91	of	of	ADP
aijmsr-372	62	92	time	time	NOUN
aijmsr-372	62	93	the	the	DET
aijmsr-372	62	94	server	server	NOUN
aijmsr-372	62	95	is	be	AUX
aijmsr-372	62	96	working	work	VERB
aijmsr-372	62	97	(	(	PUNCT
aijmsr-372	62	98	called	call	VERB
aijmsr-372	62	99	the	the	DET
aijmsr-372	62	100	utility	utility	NOUN
aijmsr-372	62	101	factor	factor	NOUN
aijmsr-372	62	102	)	)	PUNCT
aijmsr-372	62	103	limiting	limit	VERB
aijmsr-372	62	104	probability	probability	NOUN
aijmsr-372	62	105	pk	pk	NOUN
aijmsr-372	62	106	in	in	ADP
aijmsr-372	62	107	the	the	DET
aijmsr-372	62	108	m	m	PROPN
aijmsr-372	62	109	/	/	SYM
aijmsr-372	62	110	m/1	m/1	NOUN
aijmsr-372	62	111	system	system	NOUN
aijmsr-372	62	112	.	.	PUNCT
aijmsr-372	63	1	the	the	DET
aijmsr-372	63	2	expected	expect	VERB
aijmsr-372	63	3	queue	queue	NOUN
aijmsr-372	63	4	length	length	NOUN
aijmsr-372	63	5	l	l	NOUN
aijmsr-372	63	6	is	be	AUX
aijmsr-372	63	7	given	give	VERB
aijmsr-372	63	8	by	by	ADP
aijmsr-372	63	9	e(l	e(l	PROPN
aijmsr-372	63	10	)	)	PUNCT
aijmsr-372	63	11	=	=	PUNCT
aijmsr-372	64	1	∑	∑	PUNCT
aijmsr-372	64	2	i.	i.	PROPN
aijmsr-372	64	3	pi	pi	PROPN
aijmsr-372	64	4	∞	∞	PROPN
aijmsr-372	64	5	i=0	i=0	PROPN
aijmsr-372	64	6	=	=	PUNCT
aijmsr-372	64	7	∑	∑	PUNCT
aijmsr-372	64	8	i.	i.	PROPN
aijmsr-372	64	9	ri	ri	PROPN
aijmsr-372	65	1	∞	∞	PROPN
aijmsr-372	65	2	i=0	i=0	PROPN
aijmsr-372	65	3	(	(	PUNCT
aijmsr-372	65	4	1	1	NUM
aijmsr-372	65	5	−	−	NOUN
aijmsr-372	65	6	r	r	NOUN
aijmsr-372	65	7	)	)	PUNCT
aijmsr-372	65	8	=	=	SYM
aijmsr-372	65	9	r(1	r(1	PROPN
aijmsr-372	65	10	−	−	PROPN
aijmsr-372	65	11	r	r	NOUN
aijmsr-372	65	12	)	)	PUNCT
aijmsr-372	65	13	∑	∑	PROPN
aijmsr-372	65	14	i.	i.	PROPN
aijmsr-372	65	15	ri	ri	PROPN
aijmsr-372	65	16	∞	∞	PROPN
aijmsr-372	65	17	i=0	i=0	PROPN
aijmsr-372	65	18	=	=	PUNCT
aijmsr-372	65	19	r(1	r(1	PROPN
aijmsr-372	65	20	−	−	PROPN
aijmsr-372	65	21	r	r	NOUN
aijmsr-372	65	22	)	)	PUNCT
aijmsr-372	65	23	(	(	PUNCT
aijmsr-372	65	24	∑〖i	∑〖i	ADJ
aijmsr-372	65	25	.	.	PUNCT
aijmsr-372	66	1	ri)i	ri)i	NOUN
aijmsr-372	66	2	∞	∞	PROPN
aijmsr-372	66	3	i=1	i=1	PROPN
aijmsr-372	66	4	〗	〗	NOUN
aijmsr-372	66	5	=	=	PUNCT
aijmsr-372	66	6	r(1	r(1	PROPN
aijmsr-372	66	7	-	-	PUNCT
aijmsr-372	66	8	r	r	NOUN
aijmsr-372	66	9	)	)	PUNCT
aijmsr-372	66	10	(	(	PUNCT
aijmsr-372	66	11	1	1	NUM
aijmsr-372	66	12	1−r	1−r	NUM
aijmsr-372	66	13	)	)	PUNCT
aijmsr-372	67	1	i	i	PRON
aijmsr-372	67	2	=	=	SYM
aijmsr-372	68	1	r	r	PROPN
aijmsr-372	68	2	1−r	1−r	NUM
aijmsr-372	68	3	..............................	..............................	PUNCT
aijmsr-372	68	4	equation	equation	NOUN
aijmsr-372	68	5	13	13	NUM
aijmsr-372	68	6	(	(	PUNCT
aijmsr-372	68	7	adeniran	adeniran	NOUN
aijmsr-372	68	8	and	and	CCONJ
aijmsr-372	68	9	kanyio	kanyio	NOUN
aijmsr-372	68	10	,	,	PUNCT
aijmsr-372	68	11	2019	2019	NUM
aijmsr-372	68	12	)	)	PUNCT
aijmsr-372	68	13	copyright	copyright	NOUN
aijmsr-372	68	14	©	©	PROPN
aijmsr-372	68	15	cc	cc	PROPN
aijmsr-372	68	16	-	-	PUNCT
aijmsr-372	68	17	by	by	ADP
aijmsr-372	68	18	-	-	PUNCT
aijmsr-372	68	19	nc	nc	PROPN
aijmsr-372	68	20	2019	2019	NUM
aijmsr-372	68	21	,	,	PUNCT
aijmsr-372	68	22	cribfb	cribfb	VERB
aijmsr-372	68	23	|	|	CCONJ
aijmsr-372	68	24	aijmsr	aijmsr	NOUN
aijmsr-372	68	25	www.cribfb.com/journal/index.php/aijmsr	www.cribfb.com/journal/index.php/aijmsr	VERB
aijmsr-372	68	26	american	american	PROPN
aijmsr-372	68	27	international	international	PROPN
aijmsr-372	68	28	journal	journal	PROPN
aijmsr-372	68	29	of	of	ADP
aijmsr-372	68	30	multidisciplinary	multidisciplinary	ADJ
aijmsr-372	68	31	scientific	scientific	ADJ
aijmsr-372	68	32	research	research	NOUN
aijmsr-372	68	33	vol	vol	NOUN
aijmsr-372	68	34	.	.	PROPN
aijmsr-372	68	35	5	5	NUM
aijmsr-372	68	36	,	,	PUNCT
aijmsr-372	68	37	no	no	INTJ
aijmsr-372	68	38	.	.	NOUN
aijmsr-372	68	39	3	3	NUM
aijmsr-372	68	40	;	;	PUNCT
aijmsr-372	68	41	2019	2019	NUM
aijmsr-372	68	42	13	13	NUM
aijmsr-372	68	43	3	3	NUM
aijmsr-372	68	44	.	.	PUNCT
aijmsr-372	69	1	results	result	NOUN
aijmsr-372	69	2	and	and	CCONJ
aijmsr-372	69	3	discussions	discussion	NOUN
aijmsr-372	69	4	3.1	3.1	NUM
aijmsr-372	69	5	.	.	PUNCT
aijmsr-372	70	1	traffic	traffic	NOUN
aijmsr-372	70	2	survey	survey	NOUN
aijmsr-372	70	3	3.1.1	3.1.1	NUM
aijmsr-372	70	4	stopping	stopping	NOUN
aijmsr-372	70	5	time	time	NOUN
aijmsr-372	70	6	of	of	ADP
aijmsr-372	70	7	shuttle	shuttle	NOUN
aijmsr-372	70	8	bus	bus	NOUN
aijmsr-372	70	9	stopping	stopping	NOUN
aijmsr-372	70	10	time	time	NOUN
aijmsr-372	70	11	refers	refer	VERB
aijmsr-372	70	12	to	to	ADP
aijmsr-372	70	13	the	the	DET
aijmsr-372	70	14	total	total	ADJ
aijmsr-372	70	15	time	time	NOUN
aijmsr-372	70	16	duration	duration	NOUN
aijmsr-372	70	17	the	the	DET
aijmsr-372	70	18	shuttle	shuttle	NOUN
aijmsr-372	70	19	bus	bus	NOUN
aijmsr-372	70	20	spends	spend	VERB
aijmsr-372	70	21	at	at	ADP
aijmsr-372	70	22	the	the	DET
aijmsr-372	70	23	bus	bus	NOUN
aijmsr-372	70	24	stop	stop	NOUN
aijmsr-372	70	25	.	.	PUNCT
aijmsr-372	71	1	the	the	DET
aijmsr-372	71	2	stopping	stopping	NOUN
aijmsr-372	71	3	time	time	NOUN
aijmsr-372	71	4	is	be	AUX
aijmsr-372	71	5	made	make	VERB
aijmsr-372	71	6	up	up	ADP
aijmsr-372	71	7	of	of	ADP
aijmsr-372	71	8	:	:	PUNCT
aijmsr-372	71	9	a	a	X
aijmsr-372	71	10	)	)	PUNCT
aijmsr-372	71	11	the	the	DET
aijmsr-372	71	12	boarding	boarding	NOUN
aijmsr-372	71	13	stop	stop	VERB
aijmsr-372	71	14	time	time	NOUN
aijmsr-372	71	15	“	"	PUNCT
aijmsr-372	71	16	a	a	PRON
aijmsr-372	71	17	”	"	PUNCT
aijmsr-372	71	18	:	:	PUNCT
aijmsr-372	71	19	this	this	PRON
aijmsr-372	71	20	is	be	AUX
aijmsr-372	71	21	also	also	ADV
aijmsr-372	71	22	made	make	VERB
aijmsr-372	71	23	up	up	ADP
aijmsr-372	71	24	of	of	ADP
aijmsr-372	71	25	the	the	DET
aijmsr-372	71	26	time	time	NOUN
aijmsr-372	71	27	taken	take	VERB
aijmsr-372	71	28	to	to	PART
aijmsr-372	71	29	close	close	VERB
aijmsr-372	71	30	the	the	DET
aijmsr-372	71	31	door	door	NOUN
aijmsr-372	71	32	=	=	SYM
aijmsr-372	71	33	15	15	NUM
aijmsr-372	71	34	seconds	second	NOUN
aijmsr-372	71	35	;	;	PUNCT
aijmsr-372	71	36	time	time	NOUN
aijmsr-372	71	37	taken	take	VERB
aijmsr-372	71	38	by	by	ADP
aijmsr-372	71	39	the	the	DET
aijmsr-372	71	40	driver	driver	NOUN
aijmsr-372	71	41	to	to	PART
aijmsr-372	71	42	check	check	VERB
aijmsr-372	71	43	the	the	DET
aijmsr-372	71	44	traffic	traffic	NOUN
aijmsr-372	71	45	before	before	ADP
aijmsr-372	71	46	take	take	NOUN
aijmsr-372	71	47	-	-	PUNCT
aijmsr-372	71	48	off	off	ADP
aijmsr-372	71	49	=	=	NOUN
aijmsr-372	71	50	9	9	NUM
aijmsr-372	71	51	seconds	second	NOUN
aijmsr-372	71	52	;	;	PUNCT
aijmsr-372	71	53	and	and	CCONJ
aijmsr-372	71	54	time	time	NOUN
aijmsr-372	71	55	taken	take	VERB
aijmsr-372	71	56	to	to	PART
aijmsr-372	71	57	park	park	VERB
aijmsr-372	71	58	the	the	DET
aijmsr-372	71	59	bus	bus	NOUN
aijmsr-372	71	60	and	and	CCONJ
aijmsr-372	71	61	open	open	VERB
aijmsr-372	71	62	the	the	DET
aijmsr-372	71	63	bus	bus	NOUN
aijmsr-372	71	64	for	for	ADP
aijmsr-372	71	65	commuters	commuter	NOUN
aijmsr-372	71	66	=	=	SYM
aijmsr-372	71	67	7	7	NUM
aijmsr-372	71	68	seconds	second	NOUN
aijmsr-372	71	69	.	.	PUNCT
aijmsr-372	72	1	a	a	PRON
aijmsr-372	72	2	=	=	X
aijmsr-372	72	3	(	(	PUNCT
aijmsr-372	72	4	15	15	NUM
aijmsr-372	72	5	+	+	NOUN
aijmsr-372	72	6	9	9	NUM
aijmsr-372	72	7	+	+	NOUN
aijmsr-372	72	8	7	7	NUM
aijmsr-372	72	9	)	)	PUNCT
aijmsr-372	72	10	=	=	SYM
aijmsr-372	72	11	31	31	NUM
aijmsr-372	72	12	seconds	second	NOUN
aijmsr-372	72	13	b	b	X
aijmsr-372	72	14	)	)	PUNCT
aijmsr-372	72	15	the	the	DET
aijmsr-372	72	16	average	average	ADJ
aijmsr-372	72	17	boarding	boarding	NOUN
aijmsr-372	72	18	time	time	NOUN
aijmsr-372	72	19	per	per	ADP
aijmsr-372	72	20	passenger	passenger	NOUN
aijmsr-372	72	21	=	=	PUNCT
aijmsr-372	72	22	“	"	PUNCT
aijmsr-372	72	23	b1	b1	NOUN
aijmsr-372	72	24	”	"	PUNCT
aijmsr-372	72	25	=	=	SYM
aijmsr-372	72	26	9	9	NUM
aijmsr-372	72	27	seconds	second	NOUN
aijmsr-372	72	28	c	c	NOUN
aijmsr-372	72	29	)	)	PUNCT
aijmsr-372	72	30	number	number	NOUN
aijmsr-372	72	31	of	of	ADP
aijmsr-372	72	32	passengers	passenger	NOUN
aijmsr-372	72	33	boarding	boarding	NOUN
aijmsr-372	72	34	=	=	SYM
aijmsr-372	72	35	n1	n1	NOUN
aijmsr-372	72	36	=	=	SYM
aijmsr-372	72	37	18	18	NUM
aijmsr-372	72	38	passengers	passenger	NOUN
aijmsr-372	72	39	.	.	PUNCT
aijmsr-372	73	1	mathematically	mathematically	ADV
aijmsr-372	73	2	,	,	PUNCT
aijmsr-372	73	3	stopping	stop	VERB
aijmsr-372	73	4	time	time	NOUN
aijmsr-372	73	5	t	t	PROPN
aijmsr-372	73	6	=	=	PUNCT
aijmsr-372	73	7	a	a	DET
aijmsr-372	73	8	+	+	NUM
aijmsr-372	73	9	b1	b1	NOUN
aijmsr-372	73	10	*	*	SYM
aijmsr-372	73	11	n1	n1	ADJ
aijmsr-372	73	12	stopping	stopping	NOUN
aijmsr-372	73	13	time	time	NOUN
aijmsr-372	73	14	=	=	PUNCT
aijmsr-372	73	15	(	(	PUNCT
aijmsr-372	73	16	31	31	NUM
aijmsr-372	73	17	+	+	CCONJ
aijmsr-372	73	18	(	(	PUNCT
aijmsr-372	73	19	9	9	NUM
aijmsr-372	73	20	*	*	NUM
aijmsr-372	73	21	18	18	NUM
aijmsr-372	73	22	)	)	PUNCT
aijmsr-372	73	23	)	)	PUNCT
aijmsr-372	74	1	=	=	PUNCT
aijmsr-372	74	2	(	(	PUNCT
aijmsr-372	74	3	22	22	NUM
aijmsr-372	74	4	+	+	NOUN
aijmsr-372	74	5	162	162	NUM
aijmsr-372	74	6	)	)	PUNCT
aijmsr-372	74	7	=	=	NOUN
aijmsr-372	74	8	184	184	NUM
aijmsr-372	74	9	seconds	second	NOUN
aijmsr-372	74	10	stopping	stop	VERB
aijmsr-372	74	11	time	time	NOUN
aijmsr-372	74	12	=	=	SYM
aijmsr-372	74	13	3.07	3.07	NUM
aijmsr-372	74	14	minutes	minute	NOUN
aijmsr-372	74	15	3.2	3.2	NUM
aijmsr-372	74	16	waiting	waiting	NOUN
aijmsr-372	74	17	time	time	NOUN
aijmsr-372	74	18	this	this	PRON
aijmsr-372	74	19	is	be	AUX
aijmsr-372	74	20	the	the	DET
aijmsr-372	74	21	length	length	NOUN
aijmsr-372	74	22	of	of	ADP
aijmsr-372	74	23	time	time	NOUN
aijmsr-372	74	24	spent	spend	VERB
aijmsr-372	74	25	by	by	ADP
aijmsr-372	74	26	the	the	DET
aijmsr-372	74	27	passengers	passenger	NOUN
aijmsr-372	74	28	at	at	ADP
aijmsr-372	74	29	the	the	DET
aijmsr-372	74	30	bus	bus	NOUN
aijmsr-372	74	31	stop	stop	NOUN
aijmsr-372	74	32	before	before	ADP
aijmsr-372	74	33	boarding	board	VERB
aijmsr-372	74	34	a	a	DET
aijmsr-372	74	35	bus	bus	NOUN
aijmsr-372	74	36	.	.	PUNCT
aijmsr-372	75	1	it	it	PRON
aijmsr-372	75	2	is	be	AUX
aijmsr-372	75	3	also	also	ADV
aijmsr-372	75	4	referred	refer	VERB
aijmsr-372	75	5	to	to	ADP
aijmsr-372	75	6	as	as	ADP
aijmsr-372	75	7	delay	delay	NOUN
aijmsr-372	75	8	.	.	PUNCT
aijmsr-372	76	1	the	the	DET
aijmsr-372	76	2	queuing	queue	VERB
aijmsr-372	76	3	theory	theory	NOUN
aijmsr-372	76	4	is	be	AUX
aijmsr-372	76	5	employed	employ	VERB
aijmsr-372	76	6	in	in	ADP
aijmsr-372	76	7	this	this	DET
aijmsr-372	76	8	study	study	NOUN
aijmsr-372	76	9	.	.	PUNCT
aijmsr-372	77	1	a	a	DET
aijmsr-372	77	2	)	)	PUNCT
aijmsr-372	77	3	average	average	ADJ
aijmsr-372	77	4	arrival	arrival	NOUN
aijmsr-372	77	5	rate	rate	NOUN
aijmsr-372	77	6	(	(	PUNCT
aijmsr-372	77	7	λ	λ	NOUN
aijmsr-372	77	8	)	)	PUNCT
aijmsr-372	77	9	=	=	SYM
aijmsr-372	77	10	204	204	NUM
aijmsr-372	77	11	passengers	passenger	NOUN
aijmsr-372	77	12	/	/	SYM
aijmsr-372	77	13	hour	hour	NOUN
aijmsr-372	77	14	λ	λ	NOUN
aijmsr-372	77	15	=	=	NOUN
aijmsr-372	77	16	204	204	NUM
aijmsr-372	77	17	3600	3600	NUM
aijmsr-372	77	18	=	=	SYM
aijmsr-372	77	19	0.057	0.057	NUM
aijmsr-372	77	20	b	b	NOUN
aijmsr-372	77	21	)	)	PUNCT
aijmsr-372	77	22	average	average	ADJ
aijmsr-372	77	23	service	service	NOUN
aijmsr-372	77	24	rate	rate	NOUN
aijmsr-372	77	25	(	(	PUNCT
aijmsr-372	77	26	μ	μ	NOUN
aijmsr-372	77	27	)	)	PUNCT
aijmsr-372	77	28	=	=	SYM
aijmsr-372	77	29	213	213	NUM
aijmsr-372	77	30	passengers	passenger	NOUN
aijmsr-372	77	31	/	/	SYM
aijmsr-372	77	32	hour	hour	NOUN
aijmsr-372	77	33	μ	μ	NOUN
aijmsr-372	77	34	=	=	NOUN
aijmsr-372	77	35	213	213	NUM
aijmsr-372	77	36	3600	3600	NUM
aijmsr-372	77	37	=	=	SYM
aijmsr-372	77	38	0.059	0.059	NUM
aijmsr-372	77	39	c	c	NOUN
aijmsr-372	77	40	)	)	PUNCT
aijmsr-372	77	41	average	average	ADJ
aijmsr-372	77	42	interval	interval	NOUN
aijmsr-372	77	43	between	between	ADP
aijmsr-372	77	44	arrival	arrival	NOUN
aijmsr-372	77	45	=	=	SYM
aijmsr-372	77	46	1	1	NUM
aijmsr-372	77	47	λ	λ	NOUN
aijmsr-372	77	48	=	=	NOUN
aijmsr-372	77	49	1	1	NUM
aijmsr-372	77	50	0.057	0.057	NUM
aijmsr-372	77	51	=	=	SYM
aijmsr-372	77	52	17.54	17.54	NUM
aijmsr-372	77	53	seconds	second	NOUN
aijmsr-372	77	54	d	d	NOUN
aijmsr-372	77	55	)	)	PUNCT
aijmsr-372	77	56	average	average	ADJ
aijmsr-372	77	57	interval	interval	NOUN
aijmsr-372	77	58	between	between	ADP
aijmsr-372	77	59	service	service	NOUN
aijmsr-372	77	60	rate	rate	NOUN
aijmsr-372	77	61	=	=	NOUN
aijmsr-372	77	62	1	1	NUM
aijmsr-372	77	63	μ	μ	NOUN
aijmsr-372	77	64	=	=	SYM
aijmsr-372	77	65	1	1	NUM
aijmsr-372	77	66	0.059	0.059	NUM
aijmsr-372	77	67	=	=	SYM
aijmsr-372	77	68	16.95	16.95	NUM
aijmsr-372	77	69	seconds	second	NOUN
aijmsr-372	77	70	e	e	NOUN
aijmsr-372	77	71	)	)	PUNCT
aijmsr-372	77	72	average	average	ADJ
aijmsr-372	77	73	queue	queue	NOUN
aijmsr-372	77	74	length	length	NOUN
aijmsr-372	77	75	=	=	PROPN
aijmsr-372	77	76	𝜆2	𝜆2	NOUN
aijmsr-372	77	77	𝜇(𝜇−𝜆	𝜇(𝜇−𝜆	NOUN
aijmsr-372	77	78	)	)	PUNCT
aijmsr-372	77	79	=	=	SYM
aijmsr-372	77	80	0.0572	0.0572	NUM
aijmsr-372	77	81	0.059(0.059−0.057	0.059(0.059−0.057	NOUN
aijmsr-372	77	82	)	)	PUNCT
aijmsr-372	77	83	=	=	PUNCT
aijmsr-372	78	1	=	=	PUNCT
aijmsr-372	78	2	0.0033	0.0033	NUM
aijmsr-372	78	3	0.00012	0.00012	NUM
aijmsr-372	78	4	=	=	SYM
aijmsr-372	78	5	25.5	25.5	NUM
aijmsr-372	78	6	passengers	passenger	NOUN
aijmsr-372	78	7	f	f	X
aijmsr-372	78	8	)	)	PUNCT
aijmsr-372	78	9	average	average	ADJ
aijmsr-372	78	10	waiting	waiting	NOUN
aijmsr-372	78	11	time	time	NOUN
aijmsr-372	78	12	in	in	ADP
aijmsr-372	78	13	the	the	DET
aijmsr-372	78	14	queue	queue	NOUN
aijmsr-372	78	15	=	=	SYM
aijmsr-372	78	16	λ	λ	X
aijmsr-372	78	17	𝜇(𝜇−𝜆	𝜇(𝜇−𝜆	NOUN
aijmsr-372	78	18	)	)	PUNCT
aijmsr-372	78	19	=	=	NOUN
aijmsr-372	78	20	0.057	0.057	NUM
aijmsr-372	78	21	0.059(0.059−0.057	0.059(0.059−0.057	NOUN
aijmsr-372	78	22	)	)	PUNCT
aijmsr-372	78	23	=	=	PUNCT
aijmsr-372	79	1	=	=	NOUN
aijmsr-372	80	1	0.057	0.057	NUM
aijmsr-372	80	2	0.00012	0.00012	NUM
aijmsr-372	80	3	=	=	SYM
aijmsr-372	80	4	475	475	NUM
aijmsr-372	80	5	seconds	second	NOUN
aijmsr-372	80	6	=	=	NOUN
aijmsr-372	80	7	7.92	7.92	NUM
aijmsr-372	80	8	minutes	minute	NOUN
aijmsr-372	80	9	g	g	NOUN
aijmsr-372	80	10	)	)	PUNCT
aijmsr-372	80	11	average	average	ADJ
aijmsr-372	80	12	time	time	NOUN
aijmsr-372	80	13	spent	spend	VERB
aijmsr-372	80	14	in	in	ADP
aijmsr-372	80	15	the	the	DET
aijmsr-372	80	16	system	system	NOUN
aijmsr-372	80	17	(	(	PUNCT
aijmsr-372	80	18	bus	bus	NOUN
aijmsr-372	80	19	stop	stop	NOUN
aijmsr-372	80	20	)	)	PUNCT
aijmsr-372	80	21	=	=	SYM
aijmsr-372	80	22	1	1	NUM
aijmsr-372	80	23	μ−λ	μ−λ	NOUN
aijmsr-372	80	24	=	=	SYM
aijmsr-372	80	25	1	1	NUM
aijmsr-372	80	26	0.059	0.059	NUM
aijmsr-372	80	27	−	−	PROPN
aijmsr-372	80	28	0.057	0.057	NUM
aijmsr-372	80	29	=	=	SYM
aijmsr-372	80	30	500	500	NUM
aijmsr-372	80	31	seconds	second	NOUN
aijmsr-372	80	32	=	=	SYM
aijmsr-372	80	33	8.33	8.33	NUM
aijmsr-372	80	34	minutes	minute	NOUN
aijmsr-372	80	35	h	h	NOUN
aijmsr-372	80	36	)	)	PUNCT
aijmsr-372	80	37	efficiency	efficiency	NOUN
aijmsr-372	80	38	of	of	ADP
aijmsr-372	80	39	shuttle	shuttle	NOUN
aijmsr-372	80	40	bus	bus	NOUN
aijmsr-372	80	41	operation	operation	NOUN
aijmsr-372	80	42	based	base	VERB
aijmsr-372	80	43	on	on	ADP
aijmsr-372	80	44	bus	bus	NOUN
aijmsr-372	80	45	stop	stop	NOUN
aijmsr-372	80	46	utilization	utilization	NOUN
aijmsr-372	80	47	(	(	PUNCT
aijmsr-372	80	48	r	r	NOUN
aijmsr-372	80	49	)	)	PUNCT
aijmsr-372	80	50	=	=	SYM
aijmsr-372	80	51	𝜆	𝜆	PRON
aijmsr-372	80	52	𝜇	𝜇	ADP
aijmsr-372	80	53	r	r	NOUN
aijmsr-372	80	54	=	=	NOUN
aijmsr-372	80	55	0.057	0.057	NUM
aijmsr-372	80	56	0.059	0.059	NUM
aijmsr-372	80	57	=	=	PUNCT
aijmsr-372	80	58	0.966	0.966	NUM
aijmsr-372	80	59	it	it	PRON
aijmsr-372	80	60	is	be	AUX
aijmsr-372	80	61	important	important	ADJ
aijmsr-372	80	62	to	to	PART
aijmsr-372	80	63	note	note	VERB
aijmsr-372	80	64	that	that	SCONJ
aijmsr-372	80	65	the	the	DET
aijmsr-372	80	66	utilization	utilization	NOUN
aijmsr-372	80	67	factor	factor	NOUN
aijmsr-372	80	68	is	be	AUX
aijmsr-372	80	69	less	less	ADJ
aijmsr-372	80	70	than	than	ADP
aijmsr-372	80	71	1(r	1(r	NUM
aijmsr-372	80	72	<	<	X
aijmsr-372	80	73	1	1	NUM
aijmsr-372	80	74	)	)	PUNCT
aijmsr-372	80	75	,	,	PUNCT
aijmsr-372	80	76	hence	hence	ADV
aijmsr-372	80	77	the	the	DET
aijmsr-372	80	78	performance	performance	NOUN
aijmsr-372	80	79	of	of	ADP
aijmsr-372	80	80	university	university	NOUN
aijmsr-372	80	81	transport	transport	NOUN
aijmsr-372	80	82	bus	bus	NOUN
aijmsr-372	80	83	shuttle	shuttle	NOUN
aijmsr-372	80	84	is	be	AUX
aijmsr-372	80	85	96.6	96.6	NUM
aijmsr-372	80	86	percent	percent	NOUN
aijmsr-372	80	87	which	which	PRON
aijmsr-372	80	88	indicates	indicate	VERB
aijmsr-372	80	89	a	a	DET
aijmsr-372	80	90	very	very	ADV
aijmsr-372	80	91	good	good	ADJ
aijmsr-372	80	92	performance	performance	NOUN
aijmsr-372	80	93	such	such	ADJ
aijmsr-372	80	94	that	that	SCONJ
aijmsr-372	80	95	the	the	DET
aijmsr-372	80	96	supply	supply	NOUN
aijmsr-372	80	97	of	of	ADP
aijmsr-372	80	98	shuttle	shuttle	NOUN
aijmsr-372	80	99	bus	bus	NOUN
aijmsr-372	80	100	in	in	ADP
aijmsr-372	80	101	futa	futa	PROPN
aijmsr-372	80	102	is	be	AUX
aijmsr-372	80	103	capable	capable	ADJ
aijmsr-372	80	104	of	of	ADP
aijmsr-372	80	105	meeting	meet	VERB
aijmsr-372	80	106	the	the	DET
aijmsr-372	80	107	demand	demand	NOUN
aijmsr-372	80	108	.	.	PUNCT
aijmsr-372	81	1	4	4	X
aijmsr-372	81	2	.	.	X
aijmsr-372	81	3	conclusion	conclusion	NOUN
aijmsr-372	81	4	and	and	CCONJ
aijmsr-372	81	5	recommendation	recommendation	NOUN
aijmsr-372	81	6	this	this	DET
aijmsr-372	81	7	study	study	NOUN
aijmsr-372	81	8	has	have	AUX
aijmsr-372	81	9	carefully	carefully	ADV
aijmsr-372	81	10	explored	explore	VERB
aijmsr-372	81	11	the	the	DET
aijmsr-372	81	12	quantitative	quantitative	ADJ
aijmsr-372	81	13	performance	performance	NOUN
aijmsr-372	81	14	of	of	ADP
aijmsr-372	81	15	university	university	NOUN
aijmsr-372	81	16	transport	transport	NOUN
aijmsr-372	81	17	bus	bus	NOUN
aijmsr-372	81	18	shuttle	shuttle	NOUN
aijmsr-372	81	19	based	base	VERB
aijmsr-372	81	20	on	on	ADP
aijmsr-372	81	21	utilization	utilization	NOUN
aijmsr-372	81	22	using	use	VERB
aijmsr-372	81	23	a	a	DET
aijmsr-372	81	24	single	single	ADJ
aijmsr-372	81	25	-	-	PUNCT
aijmsr-372	81	26	server	server	NOUN
aijmsr-372	81	27	queue	queue	NOUN
aijmsr-372	81	28	system	system	NOUN
aijmsr-372	81	29	which	which	PRON
aijmsr-372	81	30	occur	occur	VERB
aijmsr-372	81	31	if	if	SCONJ
aijmsr-372	81	32	arrival	arrival	NOUN
aijmsr-372	81	33	and	and	CCONJ
aijmsr-372	81	34	service	service	NOUN
aijmsr-372	81	35	rate	rate	NOUN
aijmsr-372	81	36	is	be	AUX
aijmsr-372	81	37	poisson	poisson	NOUN
aijmsr-372	81	38	distributed	distribute	VERB
aijmsr-372	81	39	(	(	PUNCT
aijmsr-372	81	40	single	single	ADJ
aijmsr-372	81	41	queue	queue	NOUN
aijmsr-372	81	42	)	)	PUNCT
aijmsr-372	81	43	(	(	PUNCT
aijmsr-372	81	44	m	m	NOUN
aijmsr-372	81	45	/	/	SYM
aijmsr-372	81	46	m/1	m/1	NOUN
aijmsr-372	81	47	)	)	PUNCT
aijmsr-372	81	48	queue	queue	NOUN
aijmsr-372	81	49	.	.	PUNCT
aijmsr-372	82	1	it	it	PRON
aijmsr-372	82	2	is	be	AUX
aijmsr-372	82	3	concluded	conclude	VERB
aijmsr-372	82	4	that	that	SCONJ
aijmsr-372	82	5	the	the	DET
aijmsr-372	82	6	performance	performance	NOUN
aijmsr-372	82	7	of	of	ADP
aijmsr-372	82	8	university	university	NOUN
aijmsr-372	82	9	transport	transport	NOUN
aijmsr-372	82	10	bus	bus	NOUN
aijmsr-372	82	11	shuttle	shuttle	NOUN
aijmsr-372	82	12	is	be	AUX
aijmsr-372	82	13	96.6	96.6	NUM
aijmsr-372	82	14	percent	percent	NOUN
aijmsr-372	82	15	which	which	PRON
aijmsr-372	82	16	indicates	indicate	VERB
aijmsr-372	82	17	a	a	DET
aijmsr-372	82	18	very	very	ADV
aijmsr-372	82	19	good	good	ADJ
aijmsr-372	82	20	performance	performance	NOUN
aijmsr-372	82	21	such	such	ADJ
aijmsr-372	82	22	that	that	SCONJ
aijmsr-372	82	23	the	the	DET
aijmsr-372	82	24	supply	supply	NOUN
aijmsr-372	82	25	of	of	ADP
aijmsr-372	82	26	shuttle	shuttle	NOUN
aijmsr-372	82	27	bus	bus	NOUN
aijmsr-372	82	28	in	in	ADP
aijmsr-372	82	29	futa	futa	PROPN
aijmsr-372	82	30	is	be	AUX
aijmsr-372	82	31	capable	capable	ADJ
aijmsr-372	82	32	of	of	ADP
aijmsr-372	82	33	meeting	meet	VERB
aijmsr-372	82	34	the	the	DET
aijmsr-372	82	35	demand	demand	NOUN
aijmsr-372	82	36	.	.	PUNCT
aijmsr-372	83	1	copyright	copyright	NOUN
aijmsr-372	83	2	©	©	PROPN
aijmsr-372	83	3	cc	cc	PROPN
aijmsr-372	83	4	-	-	PUNCT
aijmsr-372	83	5	by	by	ADP
aijmsr-372	83	6	-	-	PUNCT
aijmsr-372	83	7	nc	nc	PROPN
aijmsr-372	83	8	2019	2019	NUM
aijmsr-372	83	9	,	,	PUNCT
aijmsr-372	83	10	cribfb	cribfb	VERB
aijmsr-372	83	11	|	|	CCONJ
aijmsr-372	83	12	aijmsr	aijmsr	NOUN
aijmsr-372	83	13	www.cribfb.com/journal/index.php/aijmsr	www.cribfb.com/journal/index.php/aijmsr	VERB
aijmsr-372	83	14	american	american	PROPN
aijmsr-372	83	15	international	international	PROPN
aijmsr-372	83	16	journal	journal	PROPN
aijmsr-372	83	17	of	of	ADP
aijmsr-372	83	18	multidisciplinary	multidisciplinary	ADJ
aijmsr-372	83	19	scientific	scientific	ADJ
aijmsr-372	83	20	research	research	NOUN
aijmsr-372	83	21	vol	vol	NOUN
aijmsr-372	83	22	.	.	PROPN
aijmsr-372	84	1	5	5	NUM
aijmsr-372	84	2	,	,	PUNCT
aijmsr-372	84	3	no	no	INTJ
aijmsr-372	84	4	.	.	NOUN
aijmsr-372	84	5	3	3	NUM
aijmsr-372	84	6	;	;	PUNCT
aijmsr-372	84	7	2019	2019	NUM
aijmsr-372	84	8	14	14	NUM
aijmsr-372	84	9	references	reference	NOUN
aijmsr-372	84	10	adan	adan	PROPN
aijmsr-372	84	11	,	,	PUNCT
aijmsr-372	84	12	i.	i.	PROPN
aijmsr-372	84	13	,	,	PUNCT
aijmsr-372	84	14	and	and	CCONJ
aijmsr-372	84	15	resing	resing	PROPN
aijmsr-372	84	16	,	,	PUNCT
aijmsr-372	84	17	j.	j.	PROPN
aijmsr-372	84	18	(	(	PUNCT
aijmsr-372	84	19	2015	2015	NUM
aijmsr-372	84	20	)	)	PUNCT
aijmsr-372	84	21	.	.	PUNCT
aijmsr-372	85	1	queuing	queue	VERB
aijmsr-372	85	2	systems	system	NOUN
aijmsr-372	85	3	.	.	PUNCT
aijmsr-372	86	1	department	department	NOUN
aijmsr-372	86	2	of	of	ADP
aijmsr-372	86	3	mathematics	mathematics	PROPN
aijmsr-372	86	4	and	and	CCONJ
aijmsr-372	86	5	computer	computer	NOUN
aijmsr-372	86	6	science	science	NOUN
aijmsr-372	86	7	,	,	PUNCT
aijmsr-372	86	8	eindhoven	eindhoven	ADJ
aijmsr-372	86	9	university	university	NOUN
aijmsr-372	86	10	of	of	ADP
aijmsr-372	86	11	technology	technology	PROPN
aijmsr-372	86	12	,	,	PUNCT
aijmsr-372	86	13	netherlands	netherlands	PROPN
aijmsr-372	86	14	,	,	PUNCT
aijmsr-372	86	15	2015	2015	NUM
aijmsr-372	86	16	.	.	PUNCT
aijmsr-372	87	1	adanikin	adanikin	PROPN
aijmsr-372	87	2	,	,	PUNCT
aijmsr-372	87	3	a.	a.	NOUN
aijmsr-372	87	4	,	,	PUNCT
aijmsr-372	87	5	olutaiwo	olutaiwo	NOUN
aijmsr-372	87	6	,	,	PUNCT
aijmsr-372	87	7	a.	a.	NOUN
aijmsr-372	87	8	,	,	PUNCT
aijmsr-372	87	9	and	and	CCONJ
aijmsr-372	87	10	obafemi	obafemi	ADV
aijmsr-372	87	11	,	,	PUNCT
aijmsr-372	87	12	t.	t.	PROPN
aijmsr-372	87	13	(	(	PUNCT
aijmsr-372	87	14	2017	2017	NUM
aijmsr-372	87	15	)	)	PUNCT
aijmsr-372	87	16	.	.	PUNCT
aijmsr-372	88	1	performance	performance	NOUN
aijmsr-372	88	2	study	study	NOUN
aijmsr-372	88	3	of	of	ADP
aijmsr-372	88	4	university	university	PROPN
aijmsr-372	88	5	of	of	ADP
aijmsr-372	88	6	ado	ado	PROPN
aijmsr-372	88	7	ekiti	ekiti	PROPN
aijmsr-372	88	8	(	(	PUNCT
aijmsr-372	88	9	unad	unad	PROPN
aijmsr-372	88	10	)	)	PUNCT
aijmsr-372	88	11	transit	transit	NOUN
aijmsr-372	88	12	shuttle	shuttle	NOUN
aijmsr-372	88	13	buses	bus	NOUN
aijmsr-372	88	14	.	.	PUNCT
aijmsr-372	89	1	american	american	PROPN
aijmsr-372	89	2	journal	journal	PROPN
aijmsr-372	89	3	of	of	ADP
aijmsr-372	89	4	traffic	traffic	NOUN
aijmsr-372	89	5	and	and	CCONJ
aijmsr-372	89	6	transportation	transportation	NOUN
aijmsr-372	89	7	engineering	engineering	NOUN
aijmsr-372	89	8	,	,	PUNCT
aijmsr-372	89	9	2(5	2(5	NUM
aijmsr-372	89	10	):	):	PUNCT
aijmsr-372	89	11	67	67	NUM
aijmsr-372	89	12	-	-	SYM
aijmsr-372	89	13	73	73	NUM
aijmsr-372	89	14	doi	doi	NOUN
aijmsr-372	89	15	:	:	PUNCT
aijmsr-372	89	16	10.11648	10.11648	NUM
aijmsr-372	89	17	/	/	SYM
aijmsr-372	89	18	j.ajtte.20170205.12	j.ajtte.20170205.12	PROPN
aijmsr-372	89	19	.	.	PROPN
aijmsr-372	89	20	ademoh	ademoh	PROPN
aijmsr-372	89	21	,	,	PUNCT
aijmsr-372	89	22	n.	n.	PROPN
aijmsr-372	89	23	a.	a.	NOUN
aijmsr-372	89	24	,	,	PUNCT
aijmsr-372	89	25	and	and	CCONJ
aijmsr-372	89	26	anosike	anosike	PROPN
aijmsr-372	89	27	,	,	PUNCT
aijmsr-372	89	28	e.	e.	PROPN
aijmsr-372	89	29	n.	n.	PROPN
aijmsr-372	89	30	(	(	PUNCT
aijmsr-372	89	31	2014	2014	NUM
aijmsr-372	89	32	)	)	PUNCT
aijmsr-372	89	33	.	.	PUNCT
aijmsr-372	90	1	queuing	queue	VERB
aijmsr-372	90	2	modelling	modelling	NOUN
aijmsr-372	90	3	of	of	ADP
aijmsr-372	90	4	air	air	NOUN
aijmsr-372	90	5	transport	transport	NOUN
aijmsr-372	90	6	passengers	passenger	NOUN
aijmsr-372	90	7	of	of	ADP
aijmsr-372	90	8	nnamdi	nnamdi	PROPN
aijmsr-372	90	9	azikiwe	azikiwe	PROPN
aijmsr-372	90	10	international	international	PROPN
aijmsr-372	90	11	airport	airport	PROPN
aijmsr-372	90	12	abuja	abuja	PROPN
aijmsr-372	90	13	,	,	PUNCT
aijmsr-372	90	14	nigeria	nigeria	PROPN
aijmsr-372	90	15	using	use	VERB
aijmsr-372	90	16	multi	multi	NOUN
aijmsr-372	90	17	server	server	NOUN
aijmsr-372	90	18	approach	approach	NOUN
aijmsr-372	90	19	.	.	PUNCT
aijmsr-372	91	1	middle	middle	PROPN
aijmsr-372	91	2	east	east	PROPN
aijmsr-372	91	3	journal	journal	PROPN
aijmsr-372	91	4	of	of	ADP
aijmsr-372	91	5	scientific	scientific	ADJ
aijmsr-372	91	6	research	research	NOUN
aijmsr-372	91	7	21	21	NUM
aijmsr-372	91	8	(	(	PUNCT
aijmsr-372	91	9	12	12	NUM
aijmsr-372	91	10	):	):	PUNCT
aijmsr-372	91	11	2326	2326	NUM
aijmsr-372	91	12	-	-	SYM
aijmsr-372	91	13	2338	2338	NUM
aijmsr-372	91	14	,	,	PUNCT
aijmsr-372	91	15	2014	2014	NUM
aijmsr-372	91	16	doi	doi	NOUN
aijmsr-372	91	17	:	:	PUNCT
aijmsr-372	91	18	10.5829	10.5829	NUM
aijmsr-372	91	19	/	/	SYM
aijmsr-372	91	20	idosi.mejsr.2014.21.12.21807	idosi.mejsr.2014.21.12.21807	NOUN
aijmsr-372	91	21	.	.	PROPN
aijmsr-372	91	22	adeniran	adeniran	PROPN
aijmsr-372	91	23	,	,	PUNCT
aijmsr-372	91	24	a.	a.	NOUN
aijmsr-372	91	25	o.	o.	PROPN
aijmsr-372	91	26	,	,	PUNCT
aijmsr-372	91	27	and	and	CCONJ
aijmsr-372	91	28	kanyio	kanyio	NOUN
aijmsr-372	91	29	,	,	PUNCT
aijmsr-372	91	30	o.	o.	NOUN
aijmsr-372	91	31	a.	a.	NOUN
aijmsr-372	91	32	(	(	PUNCT
aijmsr-372	91	33	2019	2019	NUM
aijmsr-372	91	34	)	)	PUNCT
aijmsr-372	91	35	.	.	PUNCT
aijmsr-372	92	1	quantitative	quantitative	ADJ
aijmsr-372	92	2	model	model	NOUN
aijmsr-372	92	3	of	of	ADP
aijmsr-372	92	4	single	single	ADJ
aijmsr-372	92	5	-	-	PUNCT
aijmsr-372	92	6	server	server	NOUN
aijmsr-372	92	7	queue	queue	NOUN
aijmsr-372	92	8	system	system	NOUN
aijmsr-372	92	9	.	.	PUNCT
aijmsr-372	93	1	indian	indian	ADJ
aijmsr-372	93	2	journal	journal	PROPN
aijmsr-372	93	3	of	of	ADP
aijmsr-372	93	4	engineering	engineering	NOUN
aijmsr-372	93	5	,	,	PUNCT
aijmsr-372	93	6	16	16	NUM
aijmsr-372	93	7	,	,	PUNCT
aijmsr-372	93	8	177	177	NUM
aijmsr-372	93	9	-	-	SYM
aijmsr-372	93	10	183	183	NUM
aijmsr-372	93	11	.	.	PUNCT
aijmsr-372	94	1	aderamo	aderamo	PROPN
aijmsr-372	94	2	,	,	PUNCT
aijmsr-372	94	3	a.	a.	PROPN
aijmsr-372	94	4	j.	j.	PROPN
aijmsr-372	94	5	(	(	PUNCT
aijmsr-372	94	6	2012	2012	NUM
aijmsr-372	94	7	)	)	PUNCT
aijmsr-372	94	8	.	.	PUNCT
aijmsr-372	95	1	urban	urban	ADJ
aijmsr-372	95	2	transportation	transportation	NOUN
aijmsr-372	95	3	problems	problem	NOUN
aijmsr-372	95	4	and	and	CCONJ
aijmsr-372	95	5	challenges	challenge	NOUN
aijmsr-372	95	6	in	in	ADP
aijmsr-372	95	7	nigeria	nigeria	PROPN
aijmsr-372	95	8	:	:	PUNCT
aijmsr-372	95	9	a	a	DET
aijmsr-372	95	10	planner	planner	NOUN
aijmsr-372	95	11	’s	’s	PART
aijmsr-372	95	12	view	view	NOUN
aijmsr-372	95	13	.	.	PUNCT
aijmsr-372	96	1	prime	prime	ADJ
aijmsr-372	96	2	journals	journal	NOUN
aijmsr-372	96	3	.	.	PUNCT
aijmsr-372	97	1	2(3	2(3	NUM
aijmsr-372	97	2	)	)	PUNCT
aijmsr-372	97	3	,	,	PUNCT
aijmsr-372	97	4	198203	198203	NUM
aijmsr-372	97	5	.	.	PUNCT
aijmsr-372	98	1	bastani	bastani	PROPN
aijmsr-372	98	2	p.	p.	PROPN
aijmsr-372	98	3	(	(	PUNCT
aijmsr-372	98	4	2009	2009	NUM
aijmsr-372	98	5	)	)	PUNCT
aijmsr-372	98	6	.	.	PUNCT
aijmsr-372	99	1	a	a	DET
aijmsr-372	99	2	queuing	queue	VERB
aijmsr-372	99	3	model	model	NOUN
aijmsr-372	99	4	of	of	ADP
aijmsr-372	99	5	hospital	hospital	NOUN
aijmsr-372	99	6	congestion	congestion	NOUN
aijmsr-372	99	7	.	.	PUNCT
aijmsr-372	100	1	msc	msc	PROPN
aijmsr-372	100	2	.	.	PROPN
aijmsr-372	100	3	thesis	thesis	NOUN
aijmsr-372	100	4	submitted	submit	VERB
aijmsr-372	100	5	to	to	ADP
aijmsr-372	100	6	department	department	NOUN
aijmsr-372	100	7	of	of	ADP
aijmsr-372	100	8	mathematics	mathematics	PROPN
aijmsr-372	100	9	simon	simon	PROPN
aijmsr-372	100	10	fraser	fraser	PROPN
aijmsr-372	100	11	university	university	PROPN
aijmsr-372	100	12	copper	copper	PROPN
aijmsr-372	100	13	,	,	PUNCT
aijmsr-372	100	14	r.	r.	PROPN
aijmsr-372	100	15	b.	b.	PROPN
aijmsr-372	100	16	(	(	PUNCT
aijmsr-372	100	17	1981	1981	NUM
aijmsr-372	100	18	)	)	PUNCT
aijmsr-372	100	19	.	.	PUNCT
aijmsr-372	101	1	introduction	introduction	NOUN
aijmsr-372	101	2	to	to	ADP
aijmsr-372	101	3	queuing	queue	VERB
aijmsr-372	101	4	theory	theory	NOUN
aijmsr-372	101	5	,	,	PUNCT
aijmsr-372	101	6	2nd	2nd	PROPN
aijmsr-372	101	7	edition	edition	PROPN
aijmsr-372	101	8	north	north	PROPN
aijmsr-372	101	9	holland	holland	PROPN
aijmsr-372	101	10	.	.	PUNCT
aijmsr-372	102	1	gross	gross	PROPN
aijmsr-372	102	2	,	,	PUNCT
aijmsr-372	102	3	d.	d.	PROPN
aijmsr-372	102	4	,	,	PUNCT
aijmsr-372	102	5	and	and	CCONJ
aijmsr-372	102	6	harris	harris	PROPN
aijmsr-372	102	7	,	,	PUNCT
aijmsr-372	102	8	c.	c.	PROPN
aijmsr-372	102	9	m.	m.	NOUN
aijmsr-372	102	10	(	(	PUNCT
aijmsr-372	102	11	1985	1985	NUM
aijmsr-372	102	12	)	)	PUNCT
aijmsr-372	102	13	.	.	PUNCT
aijmsr-372	103	1	fundamentals	fundamental	NOUN
aijmsr-372	103	2	of	of	ADP
aijmsr-372	103	3	queuing	queue	VERB
aijmsr-372	103	4	theory	theory	NOUN
aijmsr-372	103	5	,	,	PUNCT
aijmsr-372	103	6	2nd	2nd	ADJ
aijmsr-372	103	7	ed	ed	NOUN
aijmsr-372	103	8	.	.	PUNCT
aijmsr-372	104	1	john	john	PROPN
aijmsr-372	104	2	wiley	wiley	PROPN
aijmsr-372	104	3	&	&	CCONJ
aijmsr-372	104	4	sons	son	NOUN
aijmsr-372	104	5	:	:	PUNCT
aijmsr-372	104	6	new	new	PROPN
aijmsr-372	104	7	york	york	PROPN
aijmsr-372	104	8	.	.	PUNCT
aijmsr-372	105	1	jain	jain	PROPN
aijmsr-372	105	2	,	,	PUNCT
aijmsr-372	105	3	j.	j.	PROPN
aijmsr-372	105	4	l.	l.	PROPN
aijmsr-372	105	5	,	,	PUNCT
aijmsr-372	105	6	mohanty	mohanty	PROPN
aijmsr-372	105	7	,	,	PUNCT
aijmsr-372	105	8	s.	s.	PROPN
aijmsr-372	105	9	g.	g.	PROPN
aijmsr-372	105	10	,	,	PUNCT
aijmsr-372	105	11	and	and	CCONJ
aijmsr-372	105	12	bohm	bohm	PROPN
aijmsr-372	105	13	,	,	PUNCT
aijmsr-372	105	14	w.	w.	NOUN
aijmsr-372	105	15	(	(	PUNCT
aijmsr-372	105	16	2007	2007	NUM
aijmsr-372	105	17	)	)	PUNCT
aijmsr-372	105	18	.	.	PUNCT
aijmsr-372	106	1	a	a	DET
aijmsr-372	106	2	course	course	NOUN
aijmsr-372	106	3	on	on	ADP
aijmsr-372	106	4	queuing	queuing	NOUN
aijmsr-372	106	5	models	model	NOUN
aijmsr-372	106	6	,	,	PUNCT
aijmsr-372	106	7	statistics	statistic	NOUN
aijmsr-372	106	8	:	:	PUNCT
aijmsr-372	106	9	a	a	DET
aijmsr-372	106	10	series	series	NOUN
aijmsr-372	106	11	of	of	ADP
aijmsr-372	106	12	textbooks	textbook	NOUN
aijmsr-372	106	13	and	and	CCONJ
aijmsr-372	106	14	monographs	monograph	NOUN
aijmsr-372	106	15	,	,	PUNCT
aijmsr-372	106	16	chapman	chapman	PROPN
aijmsr-372	106	17	&	&	CCONJ
aijmsr-372	106	18	hall	hall	PROPN
aijmsr-372	106	19	/	/	SYM
aijmsr-372	106	20	crc	crc	PROPN
aijmsr-372	106	21	,	,	PUNCT
aijmsr-372	106	22	taylor	taylor	PROPN
aijmsr-372	106	23	&	&	CCONJ
aijmsr-372	106	24	francis	francis	PROPN
aijmsr-372	106	25	group	group	PROPN
aijmsr-372	106	26	.	.	PUNCT
aijmsr-372	107	1	sztrik	sztrik	PROPN
aijmsr-372	107	2	,	,	PUNCT
aijmsr-372	107	3	j.	j.	PROPN
aijmsr-372	107	4	(	(	PUNCT
aijmsr-372	107	5	2012	2012	NUM
aijmsr-372	107	6	)	)	PUNCT
aijmsr-372	107	7	.	.	PUNCT
aijmsr-372	108	1	basic	basic	ADJ
aijmsr-372	108	2	queuing	queuing	NOUN
aijmsr-372	108	3	theory	theory	NOUN
aijmsr-372	108	4	.	.	PUNCT
aijmsr-372	109	1	university	university	NOUN
aijmsr-372	109	2	of	of	ADP
aijmsr-372	109	3	debrecen	debrecen	PROPN
aijmsr-372	109	4	,	,	PUNCT
aijmsr-372	109	5	faculty	faculty	NOUN
aijmsr-372	109	6	of	of	ADP
aijmsr-372	109	7	informatics	informatics	PROPN
aijmsr-372	109	8	.	.	PUNCT
aijmsr-372	110	1	trani	trani	PROPN
aijmsr-372	110	2	,	,	PUNCT
aijmsr-372	110	3	a.	a.	PROPN
aijmsr-372	110	4	,	,	PUNCT
aijmsr-372	110	5	a.	a.	NOUN
aijmsr-372	110	6	(	(	PUNCT
aijmsr-372	110	7	2011	2011	NUM
aijmsr-372	110	8	)	)	PUNCT
aijmsr-372	110	9	.	.	PUNCT
aijmsr-372	111	1	introduction	introduction	NOUN
aijmsr-372	111	2	to	to	ADP
aijmsr-372	111	3	transportation	transportation	NOUN
aijmsr-372	111	4	engineering	engineering	NOUN
aijmsr-372	111	5	,	,	PUNCT
aijmsr-372	111	6	introduction	introduction	NOUN
aijmsr-372	111	7	to	to	ADP
aijmsr-372	111	8	queuing	queue	VERB
aijmsr-372	111	9	theory	theory	NOUN
aijmsr-372	111	10	.	.	PUNCT
aijmsr-372	112	1	virginia	virginia	PROPN
aijmsr-372	112	2	polytechnic	polytechnic	PROPN
aijmsr-372	112	3	institute	institute	PROPN
aijmsr-372	112	4	and	and	CCONJ
aijmsr-372	112	5	state	state	PROPN
aijmsr-372	112	6	university	university	PROPN
aijmsr-372	112	7	,	,	PUNCT
aijmsr-372	112	8	us	we	PRON
aijmsr-372	112	9	,	,	PUNCT
aijmsr-372	112	10	pp	pp	CCONJ
aijmsr-372	112	11	:	:	PUNCT
aijmsr-372	112	12	2	2	NUM
aijmsr-372	112	13	-	-	SYM
aijmsr-372	112	14	46	46	NUM
aijmsr-372	112	15	.	.	PUNCT
aijmsr-372	113	1	copyrights	copyright	VERB
aijmsr-372	113	2	copyright	copyright	NOUN
aijmsr-372	113	3	for	for	ADP
aijmsr-372	113	4	this	this	DET
aijmsr-372	113	5	article	article	NOUN
aijmsr-372	113	6	is	be	AUX
aijmsr-372	113	7	retained	retain	VERB
aijmsr-372	113	8	by	by	ADP
aijmsr-372	113	9	the	the	DET
aijmsr-372	113	10	author(s	author(s	PROPN
aijmsr-372	113	11	)	)	PUNCT
aijmsr-372	113	12	,	,	PUNCT
aijmsr-372	113	13	with	with	ADP
aijmsr-372	113	14	first	first	ADJ
aijmsr-372	113	15	publication	publication	NOUN
aijmsr-372	113	16	rights	right	NOUN
aijmsr-372	113	17	granted	grant	VERB
aijmsr-372	113	18	to	to	ADP
aijmsr-372	113	19	the	the	DET
aijmsr-372	113	20	journal	journal	NOUN
aijmsr-372	113	21	.	.	PUNCT
aijmsr-372	114	1	this	this	PRON
aijmsr-372	114	2	is	be	AUX
aijmsr-372	114	3	an	an	DET
aijmsr-372	114	4	open	open	ADJ
aijmsr-372	114	5	-	-	PUNCT
aijmsr-372	114	6	access	access	NOUN
aijmsr-372	114	7	article	article	NOUN
aijmsr-372	114	8	distributed	distribute	VERB
aijmsr-372	114	9	under	under	ADP
aijmsr-372	114	10	the	the	DET
aijmsr-372	114	11	terms	term	NOUN
aijmsr-372	114	12	and	and	CCONJ
aijmsr-372	114	13	conditions	condition	NOUN
aijmsr-372	114	14	of	of	ADP
aijmsr-372	114	15	the	the	DET
aijmsr-372	114	16	creative	creative	ADJ
aijmsr-372	114	17	commons	common	NOUN
aijmsr-372	114	18	attribution	attribution	NOUN
aijmsr-372	114	19	license	license	NOUN
aijmsr-372	114	20	(	(	PUNCT
aijmsr-372	114	21	http://creativecommons.org/licenses/by/4.0/	http://creativecommons.org/licenses/by/4.0/	PROPN
aijmsr-372	114	22	)	)	PUNCT
aijmsr-372	114	23	.	.	PUNCT