Joint Optimization of Item and Pod Storage Assignment Problems with Picking Aisles’ Workload Balance in Robotic Mobile Fulfillment Systems

Table 7

Results of the influence of picking aisles’ workload in different scale instances.

Instances			L	B		Obj	Distance	Variance
Small-scale	20	10	16	100	0	79	79	62
					0.5	82	82	24.67
					0.55	83	83	13.56
					0.6	84	84	12.67
					0.65	85	85	8
					0.7	86	86	6
Medium-scale	250	200	240	500	0	3638	3638	845.84
					0.5	3896	3896	16.86
					0.55	3908	3908	12.82
					0.6	3939	3939	10.53
					0.65	3946	3946	9.96
					0.7	4089	4089	9.43
Large-scale	500	400	448	1500	0	43077	43077	992.91
					0.5	44105	44105	225.21
					0.55	44385	44385	204
					0.6	44538	44538	194.62
					0.65	44730	44730	185.21
					0.7	45160	45160	165.06

The bold values in Table 7 indicate the optimal values of obj, distance, and variance at the three instances.