Table 5 Various quantities of rival algorithms were analyzed for comparison.
From: Optimizing hybrid energy systems for locomotives based on improved grey lag goose algorithm
Function | Mean/StD | WOA | FA | DMO | WSO | HBA | IGLGO |
|---|---|---|---|---|---|---|---|
F1 | Mean | 1.84E-59 | 2.86E-08 | 1.78E-17 | 2.20E-59 | 4.13E-07 | 1.40E-59 |
StD | 5.63E-30 | 2.99E-04 | 1.62E-09 | 5.18E-30 | 4.19E-04 | 7.43E-31 | |
F2 | Mean | 5.58E-35 | 2.79E-04 | 1.87E-08 | 5.81E-35 | 2.84E + 01 | 4.20E-35 |
StD | 5.86E-18 | 3.42E-02 | 4.19E-05 | 6.06E-18 | 4.55E + 00 | 2.02E-18 | |
F3 | Mean | 1.10E-14 | 1.36E + 01 | 1.66E + 02 | 1.10E-14 | 2.37E + 02 | 1.62E-15 |
StD | 2.34E-07 | 2.11E + 00 | 6.31E + 00 | 2.36E-07 | 1.11E + 01 | 1.70E-08 | |
F4 | Mean | 1.34E-14 | 4.81E-01 | 9.08E-04 | 1.64E-14 | 6.29E + 00 | 1.83E-15 |
StD | 1.33E-07 | 3.15E-01 | 7.76E-02 | 1.58E-07 | 1.23E + 00 | 4.71E-08 | |
F5 | Mean | 7.37E + 00 | 5.14E + 01 | 2.23E + 01 | 1.71E + 01 | 1.10E + 02 | 6.71E + 00 |
StD | 6.88E-01 | 4.90E + 00 | 2.86E + 00 | 7.07E-01 | 1.19E + 01 | 1.03E-01 | |
F6 | Mean | 4.96E-11 | 2.50E-08 | 5.44E-11 | 4.90E-01 | 4.02E-07 | 1.34E-11 |
StD | 5.01E-10 | 3.40E-04 | 1.80E-09 | 4.64E-01 | 5.19E-04 | 1.13E-10 | |
F7 | Mean | 4.92E-04 | 4.77E-02 | 1.23E-02 | 6.36E-04 | 4.09E-02 | 5.87E-05 |
StD | 2.16E-03 | 1.16E-01 | 5.82E-02 | 1.64E-02 | 1.03E-01 | 3.02E-04 | |
F8 | Mean | -5.26E + 03 | -5.39E + 03 | -1.95E + 03 | -4.19E + 03 | -4.73E + 03 | -2.55E + 03 |
StD | 1.22E + 00 | 3.03E + 01 | 1.34E + 01 | 2.41E + 01 | 2.32E + 01 | 1.16E + 00 | |
F9 | Mean | 4.84E-01 | 4.39E + 01 | 1.08E + 01 | 5.71E-01 | 4.70E + 01 | 4.38E-01 |
StD | 6.20E-01 | 2.65E + 00 | 1.42E + 00 | 1.06E + 00 | 3.20E + 00 | 4.41E-01 | |
F10 | Mean | 1.28E-05 | 5.13E-02 | 3.05E-04 | 1.93E + 00 | 1.18E + 00 | 3.16E-06 |
StD | 6.30E-07 | 4.81E-01 | 1.72E-05 | 7.23E-01 | 6.27E-01 | 3.43E-08 | |
F11 | Mean | 9.98E-04 | 7.02E-03 | 2.60E + 00 | 1.64E-03 | 1.65E-01 | 8.28E-04 |
StD | 1.96E-03 | 6.82E-02 | 9.93E-01 | 5.95E-02 | 2.59E-01 | 2.16E-04 | |
F12 | Mean | 1.11E-11 | 5.79E-03 | 1.90E-02 | 3.07E-02 | 4.16E-01 | 1.05E-11 |
StD | 1.31E-12 | 1.08E-01 | 1.92E-01 | 9.88E-02 | 7.76E-01 | 8.35E-13 | |
F13 | Mean | 1.57E-10 | 1.94E-03 | 1.02E-03 | 4.02E-01 | 1.10E-03 | 1.38E-10 |
StD | 2.71E-11 | 4.95E-02 | 4.42E-02 | 2.76E-01 | 4.86E-02 | 1.45E-11 | |
F14 | Mean | 6.81E-01 | 2.80E + 00 | 3.76E + 00 | 2.96E + 00 | 1.35E + 00 | 5.32E-01 |
StD | 2.95E-01 | 1.35E + 00 | 1.17E + 00 | 1.46E + 00 | 7.85E-01 | 1.92E-01 | |
F15 | Mean | 7.71E-05 | 6.45E-04 | 2.93E-03 | 2.75E-03 | 1.85E-03 | 4.31E-05 |
StD | 2.36E-03 | 1.03E-02 | 3.18E-02 | 6.51E-02 | 4.78E-02 | 1.26E-04 | |
F16 | Mean | -6.35E-01 | -6.53E-01 | -6.36E-01 | -6.23E-01 | -6.65E-01 | -1.05E-02 |
StD | 5.60E-05 | 2.71E-04 | 2.42E-04 | 1.21E-04 | 2.16E-04 | 8.98E-06 | |
F17 | Mean | 2.21E-01 | 2.73E-01 | 2.95E-01 | 2.81E-01 | 3.00E-01 | 1.49E-01 |
StD | 2.43E-08 | 2.43E-08 | 1.90E-08 | 9.15E-03 | 2.24E-07 | 7.57E-09 | |
F18 | Mean | 1.58E + 00 | 2.33E + 00 | 2.54E + 00 | 2.28E + 00 | 1.91E + 00 | 7.40E-02 |
StD | 6.12E-14 | 2.58E-08 | 3.46E-08 | 1.83E + 00 | 4.89E-07 | 1.82E-14 | |
F19 | Mean | -2.77E + 00 | -2.74E + 00 | -2.67E + 00 | -2.60E + 00 | -2.81E + 00 | -1.62E + 00 |
StD | 2.02E-15 | 6.63E-08 | 6.54E-08 | 3.06E-02 | 1.52E-07 | 4.55E-16 | |
F20 | Mean | -2.29E + 00 | -2.11E + 00 | -2.85E + 00 | -2.55E + 00 | -1.88E + 00 | -2.58E + 00 |
StD | 2.79E-08 | 1.68E-01 | 3.35E-08 | 2.58E-01 | 1.56E-01 | 1.03E-08 | |
F21 | Mean | -6.27E + 00 | -4.88E + 00 | -4.88E + 00 | -7.85E + 00 | -4.41E + 00 | -6.40E + 00 |
StD | 5.00E-01 | 1.48E + 00 | 1.34E + 00 | 1.13E + 00 | 1.21E + 00 | 3.53E-01 | |
F22 | Mean | -6.62E + 00 | -5.93E + 00 | -7.36E + 00 | -7.37E + 00 | -5.16E + 00 | -4.08E + 00 |
StD | 2.87E-01 | 1.07E + 00 | 5.66E-01 | 4.62E-01 | 1.17E + 00 | 6.65E-02 | |
F23 | Mean | -6.91E + 00 | -6.53E + 00 | -7.50E + 00 | -8.41E + 00 | -5.43E + 00 | -3.13E + 00 |
StD | 5.58E-01 | 1.16E + 00 | 9.30E-01 | 5.71E-01 | 1.57E + 00 | 2.47E-01 |
