Research Article
Improved Monarch Butterfly Optimization Algorithm Based on Opposition-Based Learning and Random Local Perturbation
Table 5
The comparison results of the three algorithms on the 100-dimensional benchmark functions.
| Function | Algorithm | Best | Worst | Mean | Std |
| | MBO | 2.9655e-04 | 873.4768 | 483.6526 | 327.2392 | GCMBO | 1.6826e-11 | 200.0985 | 10.0288 | 40.1674 | OPMBO | 1.4014e-08 | 138.6132 | 4.8784 | 25.2979 |
| | MBO | 0.0082 | 1.8812e+03 | 942.8625 | 653.6147 | GCMBO | 4.6673e-05 | 552.4148 | 139.0795 | 154.2869 | OPMBO | 2.7599e-23 | 301.3835 | 15.2540 | 59.7389 |
| | MBO | 326.4544 | 8.2019e+05 | 3.6314e+05 | 1.7811e+05 | GCMBO | 4.5214e+03 | 2.4929e+05 | 1.1272e+05 | 6.3874e+04 | OPMBO | 3.8963e-08 | 1.4750e+05 | 9.4295e+03 | 2.8488e+04 |
| | MBO | 2.3891 | 90.9853 | 38.9181 | 25.9349 | GCMBO | 0.7494 | 90.9000 | 40.2048 | 27.9953 | OPMBO | 1.0715e-05 | 33.5396 | 7.8364 | 9.4976 |
| | MBO | 0.0807 | 484.7000 | 266.4036 | 175.1478 | GCMBO | 5.0299e-07 | 250.5469 | 56.1723 | 71.6008 | OPMBO | 5.4517e-05 | 2.2668 | 0.0760 | 0.4138 |
| | MBO | 433 | 288070 | 1.7473e+05 | 1.0058e+05 | GCMBO | 0 | 106666 | 1.7420e+04 | 2.8532e+04 | OPMBO | 0 | 3 | 0.1000 | 0.5477 |
| ā | MBO | 0.1632 | 4.2320e+04 | 1.3569e+04 | 1.4322e+04 | GCMBO | 1.0042e-08 | 8.8990e+03 | 1.0016e+03 | 2.0665e+03 | OPMBO | 1.9180e-05 | 6.8818e+03 | 432.4594 | 1.2535e+03 |
| | MBO | 4.5486e-11 | 2.9628e+09 | 8.5431e+08 | 1.1962e+09 | GCMBO | 1.1964e-19 | 3.6385e+08 | 4.6229e+07 | 9.5275e+07 | OPMBO | 8.3732e-13 | 5.9931e-12 | 2.9010e-12 | 1.4209e-12 |
| | MBO | 0.9237 | 5.0861e+09 | 1.4982e+09 | 1.7699e+09 | GCMBO | 3.2011e-15 | 9.8268e+08 | 1.3463e+08 | 2.7277e+08 | OPMBO | 9.2390e-12 | 0.4056 | 0.0135 | 0.0741 |
| | MBO | 3.7907 | 20.8227 | 18.6499 | 3.9959 | GCMBO | 5.7380e-07 | 19.9186 | 8.6313 | 9.1342 | OPMBO | 4.5998e-05 | 1.0344 | 0.0393 | 0.1897 |
| | MBO | 8.2058e+03 | 3.6580e+04 | 2.3230e+04 | 8.9660e+03 | GCMBO | 0.0013 | 1.8954e+04 | 9.3635e+03 | 5.8928e+03 | OPMBO | 0.0013 | 3.1905e+04 | 6.5790e+03 | 1.0764e+04 |
| | MBO | 262.6423 | 1.8211e+03 | 1.4277e+03 | 422.1270 | GCMBO | 7.4610e-09 | 670.2994 | 113.0140 | 155.9463 | OPMBO | 2.1383e-06 | 665.6871 | 57.3632 | 152.5890 |
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