Order Picking Systems: A Queue Model for Dimensioning the Storage Capacity, the Crew of Pickers, and the AGV Fleet

Table 3

Comparison of the utilization rate of the pickers between the model () and the simulator ().

Id									ρ		(%)
1	5	10	1	3	2	5000	5.00	9.99	0.75	0.75	0
2	5	10	2	10	5	5000	5.01	9.99	0.97	0.97	0
3	10	20	2	15	5	5000	10.10	19.46	0.99	0.99	0
4	10	50	1	6	3	5000	10.04	50.62	0.59	0.58	1
5	20	10	2	20	4	5000	19.70	10.00	1.00	1.00	0
6	20	40	1	10	6	5000	19.95	40.56	1.00	1.00	0
7	20	40	2	6	4	5000	0.20	39.93	0.82	0.82	0
8	30	30	2	5	3	5000	30.17	29.63	0.94	0.93	0
9	30	30	2	10	3	5000	29.85	30.42	1.00	1.00	0
10	30	50	2	5	4	5000	30.42	49.54	0.84	0.85	1
11	30	50	2	10	4	5000	30.56	49.79	0.97	0.97	0
12	30	50	1	5	4	5000	29.76	49.42	0.99	0.99	0
13	30	50	1	10	4	5000	30.19	49.49	1.00	1.00	0
14	50	10	4	10	2	5000	50.02	9.99	1.00	1.00	0
15	50	10	9	10	2	5000	48.77	10.01	0.89	0.88	1