Table 3.

Comparison of Wilcoxon test p-values between MSCSO and existing optimization algorithms (Underline indicates no significant difference between MSCSO and the algorithm).

Function	SCSO	MFO	SSA	FVIM	AOA	SCA	PSO	DO	SFO
F1	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	4.57 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12
F2	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.00	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12
F3	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12
F4	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12
F5	1.19 × 10−6	3.02 × 10−11	2.57 × 10−7	1.29 × 10−6	4.08 × 10−5	5.49 × 10−11	1.43 × 10−5	0.074827	1.07 × 10−7
F6	3.02 × 10−11	5.11 × 10−1	3.02 × 10−11	3.02 × 10−11	3.02 × 10−11	3.02 × 10−11	3.02 × 10−11	3.02 × 10−11	6.70 × 10−11
F7	2.84 × 10−1	3.02 × 10−11	3.02 × 10−11	3.02 × 10−11	3.92 × 10−2	3.02 × 10−11	3.02 × 10−11	3.02 × 10−11	0.22257
F8	3.02 × 10−11	3.82 × 10−9	3.02 × 10−11	3.02 × 10−11	3.02 × 10−11	3.02 × 10−11	6.70 × 10−11	8.99 × 10−11	3.02 × 10−11
F9	1.00	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.00	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.00
F10	1.00	1.21 × 10−12	1.21 × 10−12	6.13 × 10−14	1.00	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12
F11	1.00	1.21 × 10−12	1.21 × 10−12	1.37 × 10−3	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.21 × 10−12	1.00
F12	3.02 × 10−11	6.07 × 10−11	3.02 × 10−11	3.02 × 10−11	3.02 × 10−11	3.02 × 10−11	0.61001	3.02 × 10−11	8.15 × 10−11
F13	3.02 × 10−11	2.32 × 10−6	9.94 × 10−1	3.02 × 10−11	3.02 × 10−11	3.02 × 10−11	0.0072884	3.02 × 10−11	0.0076171
F14	8.84 × 10−7	9.47 × 10−1	1.41 × 10−11	4.07 × 10−11	3.02 × 10−11	2.87 × 10−10	1.72 × 10−12	1.44 × 10−10	4.97 × 10−11
F15	2.32 × 10−2	3.01 × 10−11	8.99 × 10−11	8.15 × 10−5	1.33 × 10−10	6.70 × 10−11	0.52014	0.12967	1.61 × 10−10
F16	2.17 × 10−1	1.21 × 10−12	2.98 × 10−11	6.01 × 10−8	3.02 × 10−11	3.02 × 10−11	1.21 × 10−12	1.33 × 10−10	2.23 × 10−9
F17	8.53 × 10−1	1.21 × 10−12	2.70 × 10−11	8.84 × 10−7	3.02 × 10−11	3.02 × 10−11	1.21 × 10−12	3.02 × 10−11	9.53 × 10−7
F18	2.81 × 10−2	1.27 × 10−11	3.02 × 10−11	2.37 × 10−10	4.12 × 10−1	1.16 × 10−7	7.87 × 10−12	1.17 × 10−9	0.021506
F19	2.61 × 10−2	1.21 × 10−12	3.01 × 10−11	1.25 × 10−7	3.02 × 10−11	3.02 × 10−11	2.36 × 10−12	7.77 × 10−9	1.73 × 10−7
F20	9.12 × 10−1	9.92 × 10−7	6.77 × 10−5	2.25 × 10−4	3.02 × 10−11	3.02 × 10−11	0.17902	0.18577	3.02 × 10−11
F21	1.78 × 10−10	4.27 × 10−1	3.33 × 10−1	3.82 × 10−9	4.08 × 10−11	3.69 × 10−11	0.034625	0.099258	7.39 × 10−11
F22	6.97 × 10−3	2.00 × 10−4	6.05 × 10−7	5.87 × 10−4	3.16 × 10−10	9.92 × 10−11	0.33154	0.26433	9.76 × 10−10
F23	6.10 × 10−3	3.52 × 10−1	6.97 × 10−3	9.21 × 10−5	2.37 × 10−10	9.92 × 10−11	0.14395	0.83026	6.12 × 10−10