Table 7.

Assessment metrics derived results for the effectiveness of each meta-heuristic.

Example	NPS WOA VNS MVWOA	MID WOA VNS MVWOA	POD WOA VNS MVWOA	MS WOA VNS MVWOA
S1	4 3 7	2.34 3.56 1.45	21% 15% 28%	12,045 9765 13,422
S2	3 2 5	2.56 3.78 1.78	23% 17% 31%	11,034 9653 12,098
S3	5 3 6	3.02 3.89 2.02	27% 19% 35%	13,981 10,234 14,567
S4	6 4 8	3.22 4.67 2.12	17% 15% 22%	10,342 9543 11,234
S5	4 2 6	2.81 3.49 1.23	19% 16% 25%	9654 8765 10,221
M1	7 5 9	4.23 5.65 3.05	15% 13% 19%	8761 6754 9876
M2	4 2 6	4.56 5.34 3.12	21% 19% 26%	11,298 10,451 13,411
M3	8 6 10	3.72 4.92 2.76	28% 25% 34%	9213 8766 9876
M4	5 3 9	4.13 5.12 3.34	27% 20% 31%	12,098 10,221 14,533
M5	7 6 8	5.18 6.22 4.55	20% 18% 24%	11,302 10,332 13,209