Table 3 The MM test functions’ outcomes.
Techniques | F8 | F9 | F10 | F11 | F12 | F13 | |
|---|---|---|---|---|---|---|---|
CHOA | Ave | −1.06E+04 | 3.39E−07 | 7.33E−16 | 0.00E+00 | 4.30E−06 | 3.09E−01 |
Std | 1.14E+03 | 3.39E−07 | 7.25E−16 | 0.00E+00 | 4.30E−06 | 3.09E−01 | |
p-value | 0.0033 | 0.0055 | 0.0017 | 0.0022 | 0.0035 | 0.0045 | |
ULCHOA | Ave | −1.25E+04 | 1.25E−07 | 7.33E−16 | 0.00E+00 | 1.01E−04 | 2.10E−04 |
Std | 0.1 | 3.22E−07 | 3.22E−07 | 0.00E+00 | 1.30E−04 | 8.50E−04 | |
p-value | 0.0077 | 0.0082 | 0.0035 | 0.0041 | 0.0033 | 0.0071 | |
ICHOA | Ave | −1.12E+04 | 1.4423 | 2.0441 | 0.0002 | 2.01E−03 | 2.22E−04 |
Std | 1766.46 | 0.3000 | 0.1001 | 0.0033 | 2.02E−03 | 1.33E−04 | |
p-value | 0.0011 | 0.0047 | 0.0032 | 0.0015 | 0.00001 | 0.0017 | |
CHOA | Ave | −1.03E+04 | 1.11E−04 | 0.8223 | 1.01E−05 | 1.30E−05 | 2.10E−05 |
Std | 555.233 | 3.45E−04 | 0.0021 | 1.00E−05 | 1.25E−05 | 1.50E−05 | |
p-value | 0.0072 | 0.0082 | 0.0035 | 0.0041 | 0.0033 | 0.0071 | |
DLFCHOA | Ave | −9.03E+03 | 2.22E−07 | 8.21E−14 | 0.00E+00 | 7.88E−07 | 2.92E−03 |
Std | 595.1113 | 2.11E−07 | 2.44E−14 | 0.00E+00 | 7.88E−07 | 1.44E−03 | |
p-value | 0.0033 | 0.0042 | 0.0035 | 0.0047 | 0.0047 | 0.0015 | |
ECHOA | Ave | −1.33E+04 | 0.0933 | 2.12E−15 | 1.12E−14 | 7.12E−04 | 3.94E−07 |
Std | 796.12698 | 0.0322 | 2.33E−14 | 1.30E−14 | 0.0031 | 1.22E−03 | |
p-value | 0.0035 | 0.0042 | 0.0086 | 0.0032 | 0.0036 | 0.0091 | |
TASR-CHOA | Ave | −1.75E+04 | 0.00E+00 | 1.88E−13 | 0.00E+00 | 0.00E+00 | 0.00E+00 |
Std | 525.5351 | 0.00E+00 | 1.44E−12 | 0.00E+00 | 0.00E+00 | 0.00E+00 | |
p-value | NA | NA | NA | NA | NA | NA | |
ARBGA | Ave | −1.38E+04 | 1.1335 | 9.33E−12 | 0.00E+00 | 8.30E−04 | 2.11E−03 |
Std | 742.6746 | 0.3440 | 6.17E−12 | 0.00E+00 | 7.44E−04 | 1.02E−03 | |
p-value | 0.0076 | 0.0042 | 0.0086 | 0.0032 | 0.0036 | 0.0091 | |
ARWOA | Ave | −1.42E+04 | 0.3007 | 0.9003 | 0.00E+00 | 2.10E−04 | 5.10E−04 |
Std | 715.5351 | 0.1001 | 0.1335 | 0.00E+00 | 8.50E−04 | 2.30E−04 | |
p-value | 0.0063 | 0.0082 | 0.0035 | 0.0041 | 0.0033 | 0.0071 | |
SHADE | Ave | −8.83E+03 | 0.029 | 0.1702 | 1.01E−04 | 1.19E−04 | 1.01E−04 |
Std | 418.8 | 0.831 | 0.0244 | 1.22E−04 | 3.90E−04 | 1.00E−04 | |
p-value | 0.0077 | 0.0025 | 0.0035 | 0.0032 | 0.0033 | 0.0071 | |
CMA-ES | Ave | −1.16E+04 | 0.0085 | 6.044 | 0.00E+00 | 1.13E−14 | 1.25E−12 |
Std | 331.3 | 0.0344 | 2.706 | 0.00E+00 | 1.25E−13 | 1.11E−12 | |
p-value | 0.0035 | 0.0042 | 0.0055 | 0.0032 | 0.0044 | 0.0091 | |
LSHADESPACMA | Ave | −1.32E+04 | 0.0023 | 0.1525 | 9.01E−05 | 0.0008 | 2.11E−06 |
Std | 454.325 | 0.0016 | 0.0188 | 9.30E−05 | 0.0019 | 1.04E−08 | |
p-value | 0.0065 | 0.0082 | 0.0040 | 0.0041 | 0.0033 | 0.0071 | |