Research Article
Improved Monarch Butterfly Optimization Algorithm Based on Opposition-Based Learning and Random Local Perturbation
Table 4
The comparison results of the three algorithms on the 50-dimensional benchmark functions.
| Function | Algorithm | Best | Worst | Mean | Std |
| | MBO | 0.1477 | 398.2232 | 209.3775 | 139.9068 | GCMBO | 1.8428e-13 | 1.0670e-08 | 1.1156e-09 | 2.1500e-09 | OPMBO | 1.5567e-10 | 2.7548e-08 | 8.8554e-09 | 7.5075e-09 |
| | MBO | 0.0034 | 415.5476 | 153.3220 | 142.7727 | GCMBO | 1.9171e-07 | 133.2460 | 19.7500 | 29.8177 | OPMBO | 1.2181e-28 | 6.6022e-23 | 9.4507e-24 | 1.6826e-23 |
| | MBO | 0.0010 | 1.6716e+05 | 7.1776e+04 | 5.1240e+04 | GCMBO | 2.3034e+03 | 7.4799e+04 | 2.8123e+04 | 1.7575e+04 | OPMBO | 9.7152e-10 | 4.7017e+04 | 1.9873e+03 | 8.6490e+03 |
| | MBO | 0.0071 | 90.5485 | 35.3305 | 26.7642 | GCMBO | 0.0299 | 85.3000 | 33.9794 | 21.5405 | OPMBO | 1.4047e-06 | 22.7838 | 4.0685 | 6.5366 |
| | MBO | 0.1832 | 227.1000 | 130.7104 | 79.0919 | GCMBO | 0 | 110.2839 | 23.6658 | 35.6746 | OPMBO | 1.0957e-06 | 7.7733e-05 | 2.7397e-05 | 1.6504e-05 |
| | MBO | 0 | 132209 | 5.1815e+04 | 5.1859e+04 | GCMBO | 0 | 12346 | 1696 | 2.9548e+03 | OPMBO | 0 | 0 | 0 | 0 |
| | MBO | 1.3455e-04 | 1.8360e+04 | 5.9326e+03 | 6.2480e+03 | GCMBO | 3.3925e-09 | 1.4881e+03 | 243.2459 | 353.8553 | OPMBO | 1.2070e-05 | 306.7838 | 46.0623 | 53.5043 |
| | MBO | 3.4589e-11 | 1.1141e+09 | 2.4720e+08 | 4.0804e+08 | GCMBO | 2.0184e-17 | 5.4740e+07 | 3.2179e+06 | 1.0925e+07 | OPMBO | 4.5879e-19 | 9.7859e-13 | 1.1863e-13 | 2.1688e-13 |
| | MBO | 6.5719e-10 | 1.9497e+09 | 3.6131e+08 | 6.4416e+08 | GCMBO | 9.8724e-16 | 1.4513e+08 | 1.0977e+07 | 3.1121e+07 | OPMBO | 1.2994e-16 | 9.2119e-12 | 1.9405e-12 | 2.1819e-12 |
| | MBO | 3.0017 | 20.7867 | 15.9858 | 6.1167 | GCMBO | 6.6066e-07 | 19.8083 | 1.9658 | 4.6606 | OPMBO | 1.0861e-06 | 9.8438e-05 | 4.0379e-05 | 2.2417e-05 |
| | MBO | 2.4511e+03 | 1.6770e+04 | 1.0050e+04 | 4.1486e+03 | GCMBO | 6.3638e-04 | 8.0438e+03 | 4.2775e+03 | 2.7433e+03 | OPMBO | 6.3638e-04 | 6.0967e+03 | 970.1854 | 2.2072e+03 |
| | MBO | 26.7258 | 851.3496 | 489.7041 | 275.3819 | GCMBO | 1.9838e-10 | 98.6456 | 17.8949 | 31.4580 | OPMBO | 7.4206e-09 | 124.9711 | 4.1657 | 22.8165 |
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