TABLE 11. Comparison Between IP Algorithm and Other Meta-Heuristics for 30 Dimensional CEC 2015 Problems.
| Fn. | IPA | SOA [31] | SHO [30], [31] | GWO [17], [31] | PSO [11], [31] | MFO [18], [31] | MVO [23], [31] | SCA [21], [31] | GSA [31], [34] | GA [6], [31] | DE [7], [31] | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
 |
Mean | 1.28e+06 | 2.55e+05 | 2.28e+06 | 2.02e+06 | 4.37e+05 | 1.47e+06 | 6.06e+05 | 7.65e+06 | 3.20e+07 | 8.89e+06 | 6.09e+06 |
| Std. | 4.46e+05 | 2.45e+05 | 2.18e+06 | 2.01e+06 | 1.81e+05 | 1.00e+06 | 5.02e+05 | 3.07e+06 | 2.98e+06 | 6.95e+06 | 5.11e+06 | |
| Rank | 4 | 1 | 7 | 6 | 2 | 5 | 3 | 9 | 11 | 10 | 8 | |
 |
Mean | 5.46e+04 | 5.53e+06 | 3.13e+05 | 5.65e+06 | 9.41e+03 | 1.97e+04 | 1.43e+04 | 7.33e+08 | 4.58e+03 | 2.97e+05 | 4.40e+04 |
| Std. | 1.01e+04 | 8.37e+04 | 2.10e+05 | 2.19e+06 | 4.82e+03 | 1.46e+04 | 1.03e+04 | 2.33e+08 | 1.09e+03 | 2.85e+03 | 2.75e+04 | |
| Rank | 6 | 9 | 8 | 10 | 2 | 4 | 3 | 11 | 1 | 7 | 5 | |
 |
Mean | 3.20e+02 | 3.20e+02 | 3.20e+02 | 3.20e+02 | 3.20e+02 | 3.20e+02 | 3.20e+02 | 3.20e+02 | 3.20e+02 | 3.20e+02 | 3.20e+02 |
| Std. | 7.21e−03 | 3.71e−03 | 3.76e−02 | 7.08e−02 | 8.61e−02 | 9.14e−02 | 3.19e−02 | 7.53e−02 | 1.02e−03 | 2.78e−02 | 1.15e−03 | |
| Rank | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | |
 |
Mean | 5.01e+02 | 9.54e+02 | 9.13e+02 | 9.20e+02 | 8.65e+02 | 1.33e+03 | 1.09e+03 | 1.76e+03 | 1.75e+03 | 1.26e+03 | 3.34e+03 |
| Std. | 1.64e−01 | 2.12e+02 | 1.85e+02 | 1.78e+02 | 2.16e+02 | 3.45e+02 | 2.81e+02 | 2.30e+02 | 2.79e+02 | 1.86e+02 | 3.01e+02 | |
| Rank | 1 | 5 | 3 | 4 | 2 | 8 | 6 | 10 | 9 | 7 | 11 | |
 |
Mean | 6.00e+02 | 2.47e+03 | 1.29e+04 | 2.26e+04 | 1.86e+03 | 7.35e+03 | 3.82e+03 | 2.30e+04 | 3.91e+06 | 2.91e+05 | 5.39e+04 |
| Std. | 1.91e−02 | 1.40e+03 | 1.15e+04 | 2.07e+04 | 1.28e+03 | 3.82e+03 | 2.44e+03 | 1.91e+04 | 2.70e+06 | 1.67e+05 | 2.40e+04 | |
| Rank | 1 | 3 | 6 | 8 | 2 | 5 | 4 | 7 | 11 | 10 | 9 | |
 |
Mean | 7.00e+02 | 7.02e+02 | 7.02e+02 | 7.02e+02 | 7.02e+02 | 7.02e+02 | 7.02e+02 | 7.06e+02 | 7.08e+02 | 7.08e+02 | 7.06e+02 |
| Std. | 2.71e−02 | 5.76e−01 | 6.76e−01 | 7.07e−01 | 7.75e−01 | 1.10e+00 | 9.40e−01 | 9.07e−01 | 1.32e+00 | 2.97e+00 | 3.87e+00 | |
| Rank | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 8 | 11 | 11 | 8 | |
 |
Mean | 8.27e+02 | 1.65e+03 | 1.86e+03 | 3.49e+03 | 3.43e+03 | 9.93e+03 | 2.58e+03 | 6.73e+03 | 6.07e+05 | 5.79e+04 | 5.60e+03 |
| Std. | 3.86e+00 | 2.12e+03 | 1.98e+03 | 2.04e+03 | 2.77e+03 | 8.74e+03 | 1.61e+03 | 3.36e+03 | 4.81e+05 | 2.76e+04 | 5.15e+04 | |
| Rank | 1 | 2 | 3 | 6 | 5 | 9 | 4 | 8 | 11 | 10 | 7 | |
 |
Mean | 9.12e+02 | 1.00e+03 | 1.00e+03 | 1.00e+03 | 1.00e+03 | 1.00e+03 | 1.00e+03 | 1.00e+03 | 1.00e+03 | 1.00e+03 | 1.00e+03 |
| Std. | 2.10e−01 | 7.35e−01 | 1.43e−01 | 1.28e−01 | 7.23e−02 | 2.20e−01 | 5.29e−02 | 9.79e−01 | 5.33e+00 | 3.97e+00 | 4.05e+00 | |
| Rank | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | |
 |
Mean | 1.12e+03 | 1.32e+03 | 1.38e+03 | 1.40e+03 | 1.35e+03 | 1.37e+03 | 1.39e+03 | 1.35e+03 | 1.41e+03 | 1.36e+03 | 1.65e+03 |
| Std. | 1.29e+00 | 1.34e+01 | 2.42e+01 | 5.81e+01 | 1.12e+02 | 8.97e+01 | 5.42e+01 | 1.11e+02 | 7.73e+01 | 5.39e+01 | 3.00e+01 | |
| Rank | 1 | 2 | 7 | 9 | 3 | 6 | 8 | 3 | 10 | 5 | 11 | |
 |
Mean | 1.62e+03 | 3.78e+03 | 4.25e+03 | 7.29e+03 | 7.10e+03 | 7.60e+03 | 7.34e+03 | 7.51e+03 | 9.30e+03 | 8.96e+03 | 6.08e+03 |
| Std. | 4.09e+00 | 2.32e+03 | 1.73e+03 | 2.45e+03 | 3.12e+03 | 1.29e+03 | 2.47e+03 | 1.52e+03 | 1.94e+03 | 6.32e+03 | 5.83e+03 | |
| Rank | 1 | 2 | 3 | 6 | 5 | 9 | 7 | 8 | 11 | 10 | 4 | |
| Average | 1.8000 | 2.9000 | 4.2000 | 5.4000 | 2.6000 | 5.1000 | 4.0000 | 6.7000 | 7.8000 | 7.3000 | 6.6000 | |
| Overall | 1 | 3 | 5 | 7 | 2 | 6 | 4 | 9 | 11 | 10 | 8 | |