Table 4. Experimental results and average rank.
EEs of DMBBPSO, FisBBPSO, PBBPSO, TBBPSO and ET-BBPSO. Mean EE is the average EE of 37 experiments, Std is the standard deviation of 37 EEs, Rank is the rank competition results based on EEs. f1–f15.
| Function Number | Data Type | DMBBPSO | FisBBPSO | PBBPSO | TBBPSO | ETBBPSO |
|---|---|---|---|---|---|---|
| f 1 | Mean EE | 2.061E+04 | 2.174E+04 | 1.609E+04 | 2.403E+04 | 1.639E+04 |
| Std | 2.528E+04 | 2.596E+04 | 2.367E+04 | 3.460E+04 | 2.367E+04 | |
| Rank | 3 | 4 | 1 | 5 | 2 | |
| f 2 | Mean EE | 4.696E+96 | 1.241E+134 | 1.209E+137 | 7.324E+118 | 2.963E+128 |
| Std | 1.531E+97 | 6.908E+134 | 7.351E+137 | 3.439E+119 | 1.802E+129 | |
| Rank | 1 | 4 | 5 | 2 | 3 | |
| f 3 | Mean EE | 1.737E+06 | 2.995E+06 | 3.683E+06 | 1.924E+06 | 2.864E+06 |
| Std | 9.362E+05 | 2.325E+06 | 2.993E+06 | 7.351E+05 | 2.389E+06 | |
| Rank | 1 | 4 | 5 | 2 | 3 | |
| f 4 | Mean EE | 1.360E+02 | 1.527E+02 | 1.800E+02 | 1.737E+02 | 1.716E+02 |
| Std | 3.257E+01 | 5.018E+01 | 6.134E+01 | 5.786E+01 | 5.101E+01 | |
| Rank | 1 | 2 | 5 | 4 | 3 | |
| f 5 | Mean EE | 8.823E+02 | 1.024E+03 | 9.414E+02 | 9.294E+02 | 8.929E+02 |
| Std | 2.057E+02 | 1.466E+02 | 1.446E+02 | 1.631E+02 | 1.582E+02 | |
| Rank | 1 | 5 | 4 | 3 | 2 | |
| f 6 | Mean EE | 4.081E+01 | 3.988E+01 | 3.960E+01 | 3.729E+01 | 3.872E+01 |
| Std | 9.078E+00 | 7.429E+00 | 7.868E+00 | 7.132E+00 | 9.221E+00 | |
| Rank | 5 | 4 | 3 | 1 | 2 | |
| f 7 | Mean EE | 9.171E+02 | 9.579E+02 | 9.258E+02 | 9.669E+02 | 8.994E+02 |
| Std | 2.235E+02 | 1.555E+02 | 1.728E+02 | 1.926E+02 | 1.635E+02 | |
| Rank | 2 | 4 | 3 | 5 | 1 | |
| f 8 | Mean EE | 7.985E+02 | 9.591E+02 | 9.428E+02 | 9.370E+02 | 8.740E+02 |
| Std | 1.406E+02 | 1.574E+02 | 1.674E+02 | 1.840E+02 | 1.563E+02 | |
| Rank | 1 | 5 | 4 | 3 | 2 | |
| f 9 | Mean EE | 3.676E+04 | 3.677E+04 | 3.482E+04 | 3.592E+04 | 3.832E+04 |
| Std | 6.538E+03 | 7.240E+03 | 1.742E+04 | 1.090E+04 | 7.871E+03 | |
| Rank | 3 | 4 | 1 | 2 | 5 | |
| f 10 | Mean EE | 1.857E+04 | 2.145E+04 | 3.146E+04 | 2.571E+04 | 2.301E+04 |
| Std | 7.535E+03 | 8.098E+03 | 3.570E+03 | 5.069E+03 | 9.342E+03 | |
| Rank | 1 | 2 | 5 | 4 | 3 | |
| f 11 | Mean EE | 4.417E+02 | 7.161E+03 | 4.351E+03 | 5.135E+03 | 7.200E+03 |
| Std | 1.969E+02 | 8.651E+03 | 4.259E+03 | 1.018E+04 | 2.465E+04 | |
| Rank | 1 | 4 | 2 | 3 | 5 | |
| f 12 | Mean EE | 3.202E+07 | 4.587E+07 | 4.727E+07 | 4.967E+07 | 4.746E+07 |
| Std | 1.454E+07 | 2.502E+07 | 3.105E+07 | 2.764E+07 | 2.125E+07 | |
| Rank | 1 | 2 | 3 | 5 | 4 | |
| f 13 | Mean EE | 8.825E+03 | 1.169E+04 | 1.518E+04 | 6.120E+03 | 1.853E+04 |
| Std | 1.111E+04 | 1.321E+04 | 1.932E+04 | 5.777E+03 | 2.730E+04 | |
| Rank | 2 | 3 | 4 | 1 | 5 | |
| f 14 | Mean EE | 5.754E+05 | 1.347E+06 | 1.108E+06 | 1.341E+06 | 1.274E+06 |
| Std | 3.286E+05 | 8.529E+05 | 6.696E+05 | 7.917E+05 | 7.567E+05 | |
| Rank | 1 | 5 | 2 | 4 | 3 | |
| f 15 | Mean EE | 1.205E+04 | 1.041E+04 | 6.022E+03 | 7.596E+03 | 8.918E+03 |
| Std | 1.572E+04 | 1.240E+04 | 7.023E+03 | 7.655E+03 | 1.159E+04 | |
| Rank | 5 | 4 | 1 | 2 | 3 |