A Multifactory Integrated Production and Distribution Scheduling Problem with Parallel Machines and Immediate Shipments Solved by Improved Whale Optimization Algorithm

Table 8

Results of the one-way ANOVA test for large-scale instances

	DF	SS	MS	value	value	Test results
IWOA-WOA	1	313.2	313.2	9.39	0.003	Means are significantly different
Error	82	2737.2	33.34
Total	83	3047.4
IWOA-GAMPC	1	400.2	400.16	12.62	0.001	Means are significantly different
Error	82	2599.3	31.70
Total	83	2999.4
IWOA-SPSO	1	47.82	47.82	0.98	0.325	Means are equal
Error	82	4006.18	48.86
Total	83	4054.00
GAMPC-SPSO	1	724.7	724.65	16.56	0.00	Means are significantly different
Error	82	3587.2	43.75
Total	83	4311.8

DF: degree of freedom; SS: sum of squares; MS: mean squares