Comparing an Approximate Queuing Approach with Simulation for the Solution of a Cross-Docking Problem

Table 2

Results of the theoretical model application.

Number of positions	Average queue; (vehicles)	Average wait time (h)	Average system time (h)	Total average usage time of docks (h)	Average dock occupancy rate (%)
10	39.9	3.20	3.75	15.43	86.7
11	36.0	2.66	3.22	14.29	85.1
12	32.4	2.23	2.79	13.35	83.5
13	28.9	1.87	2.43	12.56	81.9
14	25.7	1.57	2.14	11.89	80.3
15	22.7	1.31	1.89	11.32	78.8
16	19.9	1.10	1.69	10.83	77.2
17	17.2	0.91	1.51	10.41	75.6
18	14.8	0.75	1.36	10.04	74.1
19	12.6	0.62	1.24	9.71	72.5
20	10.5	0.50	1.13	9.42	71.0
21	8.6	0.40	1.04	9.17	69.5
22	6.9	0.31	0.97	8.94	68.0
23	5.4	0.23	0.90	8.74	66.5
24	3.9	0.17	0.85	8.73	65.1
25	2.7	0.12	0.81	8.73	63.6
26	1.7	0.07	0.78	8.73	62.2
27	0.9	0.04	0.75	8.73	60.8
28	0.4	0.02	0.74	8.73	59.4
29	0.1	0.00	0.73	8.73	58.0