Research Article
Modification of Fish Swarm Algorithm Based on Lévy Flight and Firefly Behavior
Table 3
Comparison of optimization results.
| No. | Items | AFSA | Std. | FA | Std. | FFSA | Std. | LFFSA | Std. | DE | Std. | jDE | Std. |
| f1 | Worst | 3.014 | 0.181 | −2.798 | 0.120 | −5.132 | 0.071 | −6.743 | 0.071 | −8.544 | 0.132 | −15.021 | 0.121 | Best | 2.402 | −3.257 | −5.233 | −8.500 | −10.371 | −17.242 | Average | 2.656 | −3.048 | −5.145 | −7.278 | −8.924 | −16.326 | Median | 2.651 | −3.102 | −5.193 | −6.325 | −8.586 | −16.706 |
| f2 | Worst | −2.322 | 0.171 | −1.9245 | 0.135 | −11.178 | 0.074 | −14.207 | 0.134 | −20.506 | 0.400 | −31.644 | 0.535 | Best | −4.126 | −2.813 | −11.313 | −15.585 | −21.611 | −33.250 | Average | −2.812 | −2.278 | −11.273 | −14.812 | −21.054 | −32.687 | Median | −2.562 | −2.197 | −11.271 | −14.834 | −20.970 | −32.844 |
| f3 | Worst | 1.386 | 0.001 | −1.776 | 0.124 | −3.908 | 0.197 | −6.121 | 0.138 | −0.027 | 0.438 | −8.934 | 0.167 | Best | 1.307 | −2.415 | −4.647 | −6.938 | −1.281 | −9.471 | Average | 1.587 | −2.168 | −4.147 | −6.546 | −0.049 | −9.163 | Median | 1.586 | −2.177 | −4.225 | −6.325 | −0.035 | −9.164 |
| f4 | Worst | 2.143 | 0.087 | 2.2733 | 0.097 | −2.0348 | 0.125 | −1.076 | 0.376 | 1.520 | 0.003 | 1.454 | 0.025 | Best | 1.565 | 1.043 | −2.416 | −3.405 | 1.412 | 1.363 | Average | 1.946 | 1.476 | −2.158 | −1.946 | 1.385 | 1.312 | Median | 1.854 | 1.385 | −2.235 | −2.325 | 1.363 | 1.287 |
| f5 | Worst | 2.310 | 0.077 | 1.864 | 0.856 | −2.846 | 0.044 | −4.385 | 0.054 | −0.579 | 0.323 | 0.898 | 6.009 | Best | 2.096 | 1.243 | −2.982 | −5.145 | −1.591 | −12.831 | Average | 2.236 | 1.454 | −2.946 | −4.643 | −0.999 | −3.303 | Median | 2.136 | 1.285 | −2.435 | −4.325 | −0.963 | 0.148 |
| f6 | Worst | 2.445 | 0.038 | 1.716 | 0.133 | −2.382 | 0.076 | −3.414 | 0.048 | 1.131 | 0.042 | 0.698 | 5.049 | Best | 2.318 | 1.255 | −2.618 | −3.606 | 1.012 | −11.404 | Average | 2.408 | 1.571 | −2.486 | −3.489 | 1.077 | −5.466 | Median | 2.419 | 1.601 | −2.462 | −3.487 | 1.094 | −7.632 |
| f7 | Worst | 3.815 | 0.018 | 3.7846 | 0.031 | 4.186 | | 4.156 | | 4.099 | | 4.087 | | Best | 3.945 | 3.978 | 4.099 | 4.099 | 4.099 | 4.099 | Average | 3.813 | 3.848 | 4.099 | 4.099 | 4.099 | 4.097 | Median | 3.736 | 3.785 | −4.099 | −4.099 | 4.099 | 4.097 |
| f8 | Worst | 0.956 | 0.133 | −0.960 | 0.223 | −5.301 | 0.051 | −6.271 | 0.055 | −9.89 | 0.114 | −Inf | 0 | Best | −0.644 | −0.500 | −5.444 | −6.455 | −10.255 | −Inf | Average | −0.735 | −0.697 | −5.357 | −6.372 | −10.071 | −Inf | Median | 0.736 | 0.685 | −5.435 | −6.325 | −10.074 | −Inf |
| f9 | Worst | −11.665 | 1.057 | −9.76 | 1.324 | −9.347 | 0.843 | −8.695 | 1.323 | −6.848 | 1.124 | −6.131 | 2.697 | Best | −14.433 | −10.574 | −12.194 | −11.937 | −10.680 | −14.831 | Average | −12.786 | −10.456 | −10.764 | −10.137 | −8.178 | −9.938 | Median | 1.136 | 1.085 | −7.435 | −6.325 | −7.745 | −9.663 |
| f10 | Worst | 0.957 | 0.131 | 0.974 | 0.223 | −5.375 | 0.049 | −6.274 | 0.056 | 0.673 | 0.032 | 0.280 | 0.110 | Best | 0.644 | 0.497 | −5.448 | −6.486 | 0.483 | −0.022 | Average | 0.747 | 0.649 | −5.376 | −6.348 | 0.526 | 0.230 | Median | 1.136 | 1.085 | −7.435 | −6.325 | 0.547 | 0.211 |
| f11 | Worst | −0.301 | | −0.303 | 0.009 | −4.751 | 0.071 | −5.647 | 0.085 | −0.896 | 0.103 | −1.106 | 0.135 | Best | −0.301 | −0.331 | −5.011 | −5.965 | −1.107 | −1.429 | Average | −0.301 | −0.313 | −4.838 | −5.804 | −0.975 | −1.364 | Median | −0.301 | −0.311 | −4.835 | −5.804 | −0.896 | −1.402 |
| f12 | Worst | 0.779 | 0.037 | −1.177 | 0.163 | −2.756 | 0.035 | −3.158 | 0.037 | −0.136 | 0.052 | −1.904 | 0.221 | Best | 0.658 | −1.638 | −2.892 | −3.287 | −0.339 | −2.526 | Average | 0.711 | −1.388 | −2.811 | −3.221 | −0.252 | −2.291 | Median | 0.716 | −1.376 | −2.801 | −3.216 | 0.248 | −2.374 |
| f13 | Worst | 4.286 | 0.173 | 0.574 | 0.297 | −0.602 | 0.007 | −0.602 | 0.005 | 0.039 | 0.068 | −0.176 | | Best | 3.706 | −0.175 | −0.605 | −0.605 | −0.162 | −0.176 | Average | 4.147 | −0.013 | −0.603 | −0.603 | −0.088 | −0.176 | Median | 4.213 | −0.135 | −0.603 | −6.603 | −0.086 | −0.176 |
| f14 | Worst | 2.404 | 0.084 | 0.405 | 0.318 | −3.598 | 0.117 | −4.514 | 0.101 | 0.276 | 0.211 | −2.192 | 0.401 | Best | 2.173 | −0.576 | −4.001 | −4.869 | −0.369 | −3.409 | Average | 2.275 | 0.069 | −3.773 | −4.656 | −0.117 | −2.867 | Median | 2.246 | 0.133 | −3.719 | −4.651 | −0.134 | −2.924 |
| f15 | Worst | 2.588 | 0.0705 | 1.505 | 0.198 | −4.281 | 0.117 | −4.975 | 0.241 | 2.241 | 0.077 | 0.635 | 0.372 | Best | 2.366 | −4.679 | −5.792 | −7.2474 | 1.972 | −0.370 | Average | 2.490 | −4.561 | −5.408 | −6.3259 | 2.140 | 0.148 | Median | 2.506 | −4.601 | −5.456 | −6.3259 | 2.136 | 0.218 |
| f16 | Worst | 1.438 | 0.058 | −1.463 | 0.253 | −2.762 | 0.026 | −3.239 | 0.032 | −2.354 | 0.042 | −3.392 | 0.433 | Best | 1.268 | −2.296 | −2.838 | −3.334 | −2.482 | −4.646 | Average | 1.366 | −1.987 | −2.793 | −3.282 | −2.408 | −3.868 | Median | 1.375 | −2.016 | −2.793 | −3.284 | −2.402 | −3.751 |
| f17 | Worst | −22.954 | 0.643 | −25.673 | 1.721 | −70.748 | 1.908 | −79.645 | 0.131 | −47.025 | 1.403 | −63.031 | 1.942 | Best | −24.885 | −32.075 | −77.054 | −80.098 | −51.440 | −68.738 | Average | −23.772 | −28.641 | −74.598 | −79.996 | −48.982 | −66.539 | Median | −23.731 | −28.759 | −74.907 | −80.001 | −49.035 | −66.559 |
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