Table 2 Comparative evaluation of the results achieved using the FGTO algorithm and other algorithms examined in the study.
Function | Mean/StD | SSA 20 | BOA 21 | BBO 22 | LS 23 | JSO 24 | FGTO |
|---|---|---|---|---|---|---|---|
F1 | Mean | 14.04 | 280.14 | 15.99 | 13.41 | 10.75182 | 0.00 |
StD | 9.59 | 133.27 | 8.42 | 13.03 | 7.133238 | 0.00 | |
F2 | Mean | 84.56 | 58.72 | 85.48 | 94.92 | 58.63184 | 49.15 |
StD | 30.44 | 48.72 | 43.63 | 44.69 | 22.86165 | 34.93 | |
F3 | Mean | 10.41 | 27.13 | 0.05 | 16.41 | 0.041065 | 0.05 |
StD | 6.50 | 11.36 | 0.01 | 7.59 | 0.009138 | 0.01 | |
F4 | Mean | 12.93 | 6.73 | 0.46 | 13.04 | 0.322247 | 0.31 |
StD | 1.99 | 1.07 | 0.17 | 2.04 | 0.137248 | 0.12 | |
F5 | Mean | 2.01 | 7.14 | 0.01 | 1.67 | 0.008556 | 0.01 |
StD | 1.06 | 1.38 | 0.00 | 1.36 | 0 | 0.00 | |
F6 | Mean | 1.45 | 1.06 | 0.00 | 1.60 | 0 | 0.00 |
StD | 2.41 | 1.71 | 2.17 | 2.60 | 1.412479 | 1.52 | |
F7 | Mean | 1.45 | 1.18 | 1.02 | 1.94 | 0.833979 | 1.01 |
StD | 0.32 | 0.17 | 0.26 | 0.21 | 0.148508 | 0.20 | |
F8 | Mean | 15.94 | 15.41 | 21.25 | 15.73 | 11.85482 | 14.68 |
StD | 5.96 | 5.69 | 5.77 | 4.27 | 3.562759 | 4.15 | |
F9 | Mean | 2.12 | 37.71 | 0.00 | 2.73 | 0 | 0.00 |
StD | 2.03 | 12.60 | 0.00 | 1.70 | 0 | 0.00 | |
F10 | Mean | 14.16 | 12.82 | 4.20 | 15.09 | 3.195383 | 2.30 |
StD | 5.87 | 5.85 | 7.73 | 8.51 | 5.299867 | 7.85 | |
F11 | Mean | 0.48 | 0.19 | 0.01 | 0.43 | 0.009413 | 0.01 |
StD | 0.13 | 0.07 | 0.00 | 0.09 | 0 | 0.00 | |
F12 | Mean | 0.00 | 0.00 | 0.00 | 0.00 | 0 | 0.00 |
StD | 0.00 | 0.00 | 0.00 | 0.00 | 0 | 0.00 | |
F13 | Mean | 1.55E-10 | 1.96E-03 | 1.06E-03 | 3.25E-01 | 1.53E-10 | 1.42E-10 |
StD | 2.30E-11 | 5.62E-02 | 5.27E-02 | 2.45E-01 | 1.85E-11 | 1.47E-11 | |
F14 | Mean | 1.07E + 00 | 2.35E + 00 | 2.02E + 00 | 2.25E + 00 | 0.874596 | 9.26E-01 |
StD | 2.74E-01 | 1.43E + 00 | 1.11E + 00 | 1.53E + 00 | 0.240014 | 2.42E-01 | |
F15 | Mean | 1.34E-04 | 7.42E-04 | 2.14E-03 | 3.55E-03 | 0.0001 | 1.20E-04 |
StD | 3.15E-03 | 1.31E-02 | 2.06E-02 | 6.31E-02 | 0.002556 | 1.91E-03 | |
F16 | Mean | -5.07E-01 | -6.85E-01 | -7.78E-01 | -7.63E-01 | -0.63141 | -7.21E-01 |
StD | 5.91E-05 | 1.79E-04 | 1.93E-04 | 1.45E-04 | 5.67E-05 | 5.03E-05 | |
F17 | Mean | 2.73E-01 | 2.32E-01 | 2.53E-01 | 2.03E-01 | 0.146912 | 1.76E-01 |
StD | 1.42E-03 | 1.78E-08 | 2.90E-08 | 4.80E-03 | 1.54E-08 | 1.17E-08 | |
F18 | Mean | 1.85E + 00 | 1.91E + 00 | 1.70E + 00 | 3.01E + 00 | 1.695975 | 1.17E + 00 |
StD | 6.72E-14 | 2.72E-08 | 3.29E-08 | 1.74E + 00 | 6.44E-14 | 4.13E-14 | |
F19 | Mean | -2.43E + 00 | -2.72E + 00 | -2.54E + 00 | -3.49E + 00 | -2.68709 | -2.14E + 00 |
StD | 2.40E-15 | 4.00E-08 | 4.05E-08 | 2.68E-02 | 1.97E-15 | 1.91E-15 | |
F20 | Mean | -2.68E + 00 | -1.58E + 00 | -2.56E + 00 | -2.34E + 00 | -2.17715 | -1.96E + 00 |
StD | 2.72E-02 | 1.70E-01 | 2.86E-08 | 2.10E-01 | 2.45E-08 | 2.73E-08 | |
F21 | Mean | -6.67E + 00 | -4.12E + 00 | -3.87E + 00 | -5.89E + 00 | -6.13097 | -4.04E + 00 |
StD | 1.13E + 00 | 1.34E + 00 | 9.47E-01 | 1.23E + 00 | 0.711617 | 8.11E-01 | |
F22 | Mean | -7.37E + 00 | -7.42E + 00 | -6.06E + 00 | -5.60E + 00 | -6.84894 | -6.50E + 00 |
StD | 3.92E-01 | 1.26E + 00 | 6.66E-01 | 3.43E-01 | 0.341275 | 2.35E-01 | |
F23 | Mean | -5.41E + 00 | -4.42E + 00 | -4.57E + 00 | -8.13E + 00 | -6.21393 | -6.67E + 00 |
StD | 6.96E-01 | 7.47E-01 | 8.63E-01 | 7.98E-01 | 0.658112 | 6.27E-01 |
