TABLE 7. Comparison Between IP Algorithm and Other Meta-Heuristics for 100 Dimensional Problems.
| Fn. | IPA | MFO [18] | PSO [11], [18] | GSA [18], [34] | BA [14], [18] | FPA [15], [18] | SMS [18], [38] | FA [13], [18] | GA [6], [18] | |
|---|---|---|---|---|---|---|---|---|---|---|
 |
Mean | 7.4671e−27 | 1.1700e−04 | 1.3212e+00 | 6.0823e+02 | 2.0792e+04 | 2.0364e+02 | 1.2000e+02 | 7.4807e+03 | 2.1886e+04 |
| Std. | 1.9330e−26 | 1.5000e−04 | 1.1539e+00 | 4.6465e+02 | 5.8924e+03 | 7.8398e+01 | 0.0000e+00 | 8.9485e+02 | 2.8796e+03 | |
| Rank | 1 | 2 | 3 | 6 | 8 | 5 | 4 | 7 | 9 | |
 |
Mean | 9.2362e−26 | 6.3900e−04 | 7.7156e+00 | 2.2753e+01 | 8.9786e+01 | 1.1169e+01 | 2.0531e−02 | 3.9325e+01 | 5.6518e+01 |
| Std. | 2.2260e−25 | 8.7700e−04 | 4.1321e+00 | 3.3651e+00 | 4.1958e+01 | 2.9196e+00 | 4.7180e−03 | 2.4659e+00 | 5.6609e+00 | |
| Rank | 1 | 2 | 4 | 6 | 9 | 5 | 3 | 7 | 8 | |
 |
Mean | 4.5045e−14 | 6.9673e+02 | 7.3639e+02 | 1.3576e+05 | 6.2481e+04 | 2.3757e+02 | 3.7820e+04 | 1.7357e+04 | 3.7010e+04 |
| Std. | 2.4546e−13 | 1.8853e+02 | 3.6178e+02 | 4.8653e+04 | 2.9769e+04 | 1.3665e+02 | 0.0000e+00 | 1.7401e+03 | 5.5722e+03 | |
| Rank | 1 | 3 | 4 | 9 | 8 | 2 | 7 | 5 | 6 | |
 |
Mean | 2.3461e+01 | 7.0686e+01 | 1.2973e+01 | 7.8782e+01 | 4.9743e+01 | 1.2573e+01 | 6.9170e+01 | 3.3954e+01 | 5.9143e+01 |
| Std. | 1.6448e+01 | 5.2751e+00 | 2.6344e+00 | 2.8141e+00 | 1.0144e+01 | 2.2900e+00 | 3.8767e+00 | 1.8697e+00 | 4.6485e+00 | |
| Rank | 3 | 8 | 2 | 9 | 5 | 1 | 7 | 4 | 6 | |
 |
Mean | 1.1020e+02 | 1.3915e+02 | 7.7361e+04 | 7.4100e+02 | 1.9951e+06 | 1.0975e+04 | 6.3822e+06 | 3.7950e+06 | 3.1321e+07 |
| Std. | 4.3071e+01 | 1.2026e+02 | 5.1156e+04 | 7.8124e+02 | 1.2524e+06 | 1.2057e+04 | 7.2997e+05 | 7.5903e+05 | 5.2645e+06 | |
| Rank | 1 | 2 | 5 | 3 | 6 | 4 | 8 | 7 | 9 | |
 |
Mean | 0.0000e+00 | 1.1300e−04 | 2.8665e+02 | 3.0810e+03 | 1.7053e+04 | 1.7538e+02 | 4.1439e+04 | 7.8287e+03 | 2.0965e+04 |
| Std. | 0.0000e+00 | 9.8700e−05 | 1.0708e+02 | 8.9863e+02 | 4.9176e+03 | 6.3453e+01 | 3.2952e+03 | 9.7521e+02 | 3.8681e+03 | |
| Rank | 1 | 2 | 4 | 5 | 7 | 3 | 9 | 6 | 8 | |
 |
Mean | 7.0755e−03 | 9.1155e−02 | 1.0373e+00 | 1.1298e−01 | 6.0451e+00 | 1.3594e−01 | 4.9520e−02 | 1.9063e+00 | 1.3375e+01 |
| Std. | 9.4016e−03 | 4.6420e−02 | 3.1032e−01 | 3.7607e−02 | 3.0453e+00 | 6.1212e−02 | 2.4015e−02 | 4.6006e−01 | 3.0815e+00 | |
| Rank | 1 | 3 | 6 | 4 | 8 | 5 | 2 | 7 | 9 | |
 |
Mean | -2.5129e+04 | -8.4968e+03 | -3.5710e+03 | -2.3523e+03 | 6.5535e+04 | -8.0867e+03 | -3.9428e+03 | -3.6621e+03 | -6.3312e+03 |
| Std. | 9.5538e+02 | 7.2587e+02 | 4.3080e+02 | 3.8217e+02 | 0.0000e+00 | 1.5535e+02 | 4.0416e+02 | 2.1416e+02 | 3.3257e+02 | |
| Rank | 1 | 2 | 7 | 8 | 9 | 3 | 5 | 6 | 4 | |
 |
Mean | 0.0000e+00 | 8.4600e+01 | 1.2430e+02 | 3.1000e+01 | 9.6215e+01 | 9.2692e+01 | 1.5284e+02 | 2.1490e+02 | 2.3683e+02 |
| Std. | 0.0000e+00 | 1.6167e+01 | 1.4251e+01 | 1.3661e+01 | 1.9588e+01 | 1.4224e+01 | 1.8554e+01 | 1.7219e+01 | 1.9034e+01 | |
| Rank | 1 | 3 | 6 | 2 | 5 | 4 | 7 | 8 | 9 | |
 |
Mean | 6.9604e−14 | 1.2604e+00 | 9.1679e+00 | 3.7410e+00 | 1.5946e+01 | 6.8448e+00 | 1.9133e+01 | 1.4568e+01 | 1.7846e+01 |
| Std. | 1.7583e−13 | 7.2956e−01 | 1.5690e+00 | 1.7127e−01 | 7.7495e−01 | 1.2500e+00 | 2.3852e−01 | 4.6751e−01 | 5.3115e−01 | |
| Rank | 1 | 2 | 5 | 3 | 7 | 4 | 9 | 6 | 8 | |
 |
Mean | 0.0000e+00 | 1.9080e−02 | 1.2419e+01 | 4.8683e−01 | 2.2028e+02 | 2.7161e+00 | 4.2053e+02 | 6.9658e+01 | 1.7990e+02 |
| Std. | 0.0000e+00 | 2.1732e−02 | 4.1658e+00 | 4.9785e−02 | 5.4707e+01 | 7.2772e−01 | 2.5256e+01 | 1.2114e+01 | 3.2440e+01 | |
| Rank | 1 | 2 | 5 | 3 | 8 | 4 | 9 | 6 | 7 | |
 |
Mean | 8.1573e+03 | 8.9401e−01 | 1.3874e+01 | 4.6344e−01 | 2.8934e+07 | 4.1053e+00 | 8.7428e+06 | 3.6840e+05 | 3.4132e+07 |
| Std. | 4.4671e+04 | 8.8127e−01 | 5.8537e+00 | 1.3760e−01 | 2.1787e+06 | 1.0435e+00 | 1.4057e+06 | 1.7213e+05 | 1.8934e+06 | |
| Rank | 5 | 2 | 4 | 1 | 8 | 3 | 7 | 6 | 9 | |
| Average | 1.5000 | 2.7500 | 4.5833 | 4.9167 | 7.3333 | 3.5833 | 6.4167 | 6.2500 | 7.6667 | |
| Overall | 1 | 2 | 4 | 5 | 8 | 3 | 7 | 6 | 9 | |