Table 1.
Results of DE, PSO, and GSA on IEEE CEC2017 functions according to Wilcoxon rank-sum test.
| DE | PSO | GSA | ||||||
|---|---|---|---|---|---|---|---|---|
| mean | std | mean | std | mean | std | |||
| F1 | 8.081E-15 | 7.655E-15 | 1.098E+08 | 3.980E+07 | + | 1.652E+03 | 7.365E+02 | + |
| F2 | 2.743E+01 | 2.299E+01 | 4.115E+03 | 1.204E+03 | + | 8.393E+04 | 6.794E+03 | + |
| F3 | 3.749E+01 | 2.823E+01 | 3.023E+02 | 8.666E+01 | + | 1.367E+02 | 1.493E+01 | + |
| F4 | 1.785E+02 | 1.053E+01 | 1.359E+02 | 3.092E+01 | - | 2.279E+02 | 1.692E+01 | + |
| F5 | 2.548E-08 | 3.154E-08 | 2.729E+01 | 9.808E+00 | + | 5.104E+01 | 4.024E+00 | + |
| F6 | 2.106E+02 | 9.184E+00 | 1.702E+02 | 3.478E+01 | - | 8.551E+01 | 1.224E+01 | - |
| F7 | 1.794E+02 | 1.186E+01 | 1.061E+02 | 2.705E+01 | - | 1.520E+02 | 1.483E+01 | - |
| F8 | 0.000E+00 | 0.000E+00 | 4.711E+02 | 4.151E+02 | + | 2.073E+03 | 2.709E+02 | + |
| F9 | 6.977E+03 | 2.830E+02 | 4.099E+03 | 1.063E+03 | - | 3.812E+03 | 5.000E+02 | - |
| F10 | 5.479E+01 | 2.371E+01 | 2.118E+02 | 4.886E+01 | + | 3.476E+02 | 8.227E+01 | + |
| F11 | 6.870E+03 | 4.699E+03 | 7.226E+07 | 6.183E+07 | + | 1.933E+07 | 2.805E+07 | + |
| F12 | 8.038E+01 | 1.529E+01 | 3.304E+06 | 8.916E+06 | + | 2.914E+04 | 6.218E+03 | + |
| F13 | 6.112E+01 | 6.580E+00 | 2.677E+04 | 2.996E+04 | + | 4.819E+05 | 1.257E+05 | + |
| F14 | 3.720E+01 | 7.000E+00 | 4.274E+04 | 6.755E+04 | + | 1.048E+04 | 2.115E+03 | + |
| F15 | 1.166E+03 | 2.990E+02 | 1.149E+03 | 2.762E+02 | = | 1.519E+03 | 2.480E+02 | + |
| F16 | 7.435E+01 | 7.864E+00 | 3.325E+02 | 1.401E+02 | + | 1.235E+03 | 1.613E+02 | + |
| F17 | 3.592E+01 | 3.761E+00 | 2.224E+05 | 2.520E+05 | + | 3.164E+05 | 1.311E+05 | + |
| F18 | 1.767E+01 | 5.084E+00 | 3.538E+04 | 1.165E+05 | + | 1.168E+04 | 4.931E+03 | + |
| F19 | 3.917E+01 | 2.165E+01 | 3.558E+02 | 1.002E+02 | + | 1.077E+03 | 1.967E+02 | + |
| F20 | 3.723E+02 | 8.539E+00 | 3.485E+02 | 3.138E+01 | - | 4.551E+02 | 2.132E+01 | + |
| F21 | 1.000E+02 | 8.922E-14 | 2.002E+02 | 2.621E+01 | + | 3.759E+03 | 2.105E+03 | + |
| F22 | 5.205E+02 | 1.353E+01 | 6.072E+02 | 3.463E+01 | + | 1.331E+03 | 1.182E+02 | + |
| F23 | 5.876E+02 | 1.168E+01 | 6.502E+02 | 2.621E+01 | + | 8.764E+02 | 5.792E+01 | + |
| F24 | 3.867E+02 | 2.604E-02 | 4.610E+02 | 3.044E+01 | + | 4.345E+02 | 8.907E+00 | + |
| F25 | 2.364E+03 | 3.735E+02 | 2.969E+03 | 1.331E+03 | + | 3.790E+03 | 1.199E+03 | + |
| F26 | 4.776E+02 | 8.534E+00 | 7.282E+02 | 4.753E+01 | + | 1.849E+03 | 3.235E+02 | + |
| F27 | 3.256E+02 | 4.667E+01 | 5.762E+02 | 4.260E+01 | + | 5.218E+02 | 5.509E+01 | + |
| F28 | 6.211E+02 | 1.604E+02 | 1.237E+03 | 2.144E+02 | + | 1.864E+03 | 1.970E+02 | + |
| F29 | 2.160E+03 | 1.158E+02 | 3.119E+06 | 5.050E+06 | + | 1.419E+05 | 7.629E+04 | + |
| W/T/L | -/-/- | 5/1/23 | 3/0/26 | |||||