Table 3 Comparison of lane utilization... | Emerald Publishing

Table 3

Comparison of lane utilization under different interarrival times

Experiment number	Scenario number	$λ_{1}$	$λ_{2}$	$μ_{1}$	$μ_{2}$	$σ_{1 a}$	$σ_{1 s}$	$σ_{2 a}$	$σ_{1 s}$	$N_{1}$	$N_{2}$	Utilization
												Proposed two-class queuing model		Traditional queuing model
												TAS server	Walk-in server	TAS server	Walk-in server
4	1	10	5	45	30	1/10	1/45	1/5	1/30	2	1	0.19	0.25	0.22	0.17
4	2	15	5	45	30	1/10	1/45	1/5	1/30	2	1	0.28	0.32	0.33	0.17
4	3	20	5	45	30	1/10	1/45	1/5	1/30	2	1	0.36	0.40	0.44	0.17
4	4	25	5	45	30	1/10	1/45	1/5	1/30	2	1	0.45	0.48	0.56	0.17
4	5	30	5	45	30	1/10	1/45	1/5	1/30	2	1	0.54	0.56	0.66	0.17
4	6	35	5	45	30	1/10	1/45	1/5	1/30	2	1	0.62	0.62	0.78	0.17
4	7	40	5	45	30	1/10	1/45	1/5	1/30	2	1	0.71	0.69	0.89	0.17
4	8	40	10	45	30	1/10	1/45	1/5	1/30	2	1	0.72	0.73	0.89	0.33
4	9	40	15	45	30	1/10	1/45	1/5	1/30	2	1	0.78	0.82	0.89	0.51
4	10	40	20	45	30	1/10	1/45	1/5	1/30	2	1	0.81	0.88	0.89	0.67
4	11	40	25	45	30	1/10	1/45	1/5	1/30	2	1	0.85	0.95	0.89	0.83

Experiment number	Scenario number	$λ_{1}$	$λ_{2}$	$μ_{1}$	$μ_{2}$	$σ_{1 a}$	$σ_{1 s}$	$σ_{2 a}$	$σ_{1 s}$	$N_{1}$	$N_{2}$	Utilization
												Proposed two-class queuing model		Traditional queuing model
												TAS server	Walk-in server	TAS server	Walk-in server
4	1	10	5	45	30	1/10	1/45	1/5	1/30	2	1	0.19	0.25	0.22	0.17
4	2	15	5	45	30	1/10	1/45	1/5	1/30	2	1	0.28	0.32	0.33	0.17
4	3	20	5	45	30	1/10	1/45	1/5	1/30	2	1	0.36	0.40	0.44	0.17
4	4	25	5	45	30	1/10	1/45	1/5	1/30	2	1	0.45	0.48	0.56	0.17
4	5	30	5	45	30	1/10	1/45	1/5	1/30	2	1	0.54	0.56	0.66	0.17
4	6	35	5	45	30	1/10	1/45	1/5	1/30	2	1	0.62	0.62	0.78	0.17
4	7	40	5	45	30	1/10	1/45	1/5	1/30	2	1	0.71	0.69	0.89	0.17
4	8	40	10	45	30	1/10	1/45	1/5	1/30	2	1	0.72	0.73	0.89	0.33
4	9	40	15	45	30	1/10	1/45	1/5	1/30	2	1	0.78	0.82	0.89	0.51
4	10	40	20	45	30	1/10	1/45	1/5	1/30	2	1	0.81	0.88	0.89	0.67
4	11	40	25	45	30	1/10	1/45	1/5	1/30	2	1	0.85	0.95	0.89	0.83