Table 5 Evaluation results of CEC 2017 test suite.
MOA | WSO | AVOA | RSA | MPA | TSA | WOA | MVO | GWO | TLBBO | GSA | PSO | GA | ||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
C17–F1 | Mean | 100 | 5394.774 | 2584.206 | 8.45E+09 | 1.21E+10 | 1.40E+09 | 3,986,948 | 7696.359 | 1,628,024 | 70,760,095 | 1009.284 | 512.6094 | 20,891,254 |
Std | 1.70E−05 | 4824.026 | 2058.003 | 2.26E+09 | 2.78E+09 | 1.92E+09 | 1,921,895 | 3456.125 | 3,105,598 | 20,023,090 | 894.4369 | 599.4761 | 6,388,837 | |
Rank | 1 | 5 | 4 | 12 | 13 | 11 | 8 | 6 | 7 | 10 | 3 | 2 | 9 | |
C17–F3 | Mean | 300 | 714.2679 | 309.564 | 16,206.04 | 10,517.4 | 6424.538 | 3461.475 | 300.63 | 1012.924 | 840.153 | 12,588.77 | 704.8032 | 32,647.85 |
Std | 8.88E−11 | 587.2788 | 13.90441 | 1266.019 | 502.0492 | 3929.786 | 3742.191 | 0.026746 | 982.2947 | 83.36937 | 3647.85 | 798.7056 | 12,440.17 | |
Rank | 1 | 5 | 3 | 12 | 10 | 9 | 8 | 2 | 7 | 6 | 11 | 4 | 13 | |
C17–F4 | Mean | 400 | 404.5583 | 410.9666 | 758.4671 | 1319.753 | 596.518 | 477.568 | 405.7309 | 418.0512 | 419.7812 | 406.4237 | 406.4037 | 417.646 |
Std | 6.61E−08 | 3.025907 | 10.68977 | 261.2167 | 257.4962 | 160.2902 | 69.68358 | 0.553739 | 18.8305 | 11.46374 | 0.903474 | 4.885053 | 4.077261 | |
Rank | 1 | 2 | 6 | 12 | 13 | 11 | 10 | 3 | 8 | 9 | 5 | 4 | 7 | |
C17–F5 | Mean | 510.9445 | 516.297 | 556.3801 | 569.3022 | 589.9184 | 562.0992 | 538.6935 | 515.9167 | 511.8005 | 538.334 | 553.9128 | 523.5634 | 533.7623 |
Std | 3.589474 | 6.77867 | 28.12457 | 8.576477 | 20.89884 | 13.14489 | 7.84281 | 5.005719 | 0.262822 | 1.709557 | 11.49747 | 6.081188 | 13.64295 | |
Rank | 1 | 4 | 10 | 12 | 13 | 11 | 8 | 3 | 2 | 7 | 9 | 5 | 6 | |
C17–F6 | Mean | 600.0006 | 602.4926 | 628.775 | 649.7447 | 647.3203 | 630.2 | 633.6467 | 601.853 | 604.1786 | 609.0722 | 626.265 | 616.5693 | 611.0825 |
Std | 0.000106 | 0.860338 | 9.189882 | 2.173688 | 5.364324 | 17.72122 | 8.792381 | 0.482336 | 3.679604 | 2.634279 | 4.898564 | 15.56608 | 2.467292 | |
Rank | 1 | 3 | 9 | 13 | 12 | 10 | 11 | 2 | 4 | 5 | 8 | 7 | 6 | |
C17–F7 | Mean | 722.5537 | 717.8004 | 772.8716 | 804.1864 | 806.7154 | 816.0238 | 787.9268 | 733.2755 | 741.7064 | 759.9908 | 718.6036 | 739.647 | 736.9667 |
Std | 2.754451 | 4.781629 | 25.46749 | 1.845387 | 16.60913 | 47.97126 | 20.7484 | 8.666463 | 14.8834 | 8.088253 | 2.978781 | 21.3286 | 8.489258 | |
Rank | 3 | 1 | 9 | 11 | 12 | 13 | 10 | 4 | 7 | 8 | 2 | 6 | 5 | |
C17–F8 | Mean | 807.9597 | 808.342 | 830.7956 | 861.9027 | 849.5741 | 853.9328 | 847.0794 | 821.9172 | 814.5836 | 827.503 | 828.5749 | 825.8607 | 822.2984 |
Std | 1.794737 | 2.784854 | 7.991045 | 7.146276 | 8.289771 | 8.886527 | 6.094778 | 8.90872 | 4.107739 | 7.875534 | 1.849425 | 9.832576 | 6.346926 | |
Rank | 1 | 2 | 9 | 13 | 11 | 12 | 10 | 4 | 3 | 7 | 8 | 6 | 5 | |
C17–F9 | Mean | 900 | 934.7615 | 1032.844 | 1524.469 | 1660.832 | 1460.543 | 1567.801 | 902.0541 | 918.4551 | 936.127 | 901.8 | 903.1904 | 908.5115 |
Std | 3.38E−08 | 42.78457 | 41.39303 | 160.7065 | 151.4411 | 373.8084 | 228.8343 | 0.283973 | 32.41159 | 25.45011 | 3.39E−10 | 1.677232 | 2.09728 | |
Rank | 1 | 7 | 9 | 11 | 13 | 10 | 12 | 3 | 6 | 8 | 2 | 4 | 5 | |
C17–F10 | Mean | 1379.646 | 1447.938 | 2207.952 | 2783.489 | 2603.223 | 2001.444 | 1822.235 | 1715.447 | 1795.333 | 1910.522 | 2771.759 | 2296.61 | 1622.572 |
Std | 211.5795 | 183.5644 | 262.6804 | 187.626 | 144.3814 | 333.4632 | 489.0606 | 207.1481 | 362.1194 | 65.28343 | 379.626 | 474.1321 | 237.995 | |
Rank | 1 | 2 | 9 | 13 | 11 | 8 | 6 | 4 | 5 | 7 | 12 | 10 | 3 | |
C17–F11 | Mean | 1101.505 | 1126.225 | 1139.428 | 5295.611 | 1465.28 | 2458.247 | 1194.559 | 1142.959 | 1138.129 | 1141.094 | 1124.307 | 1133.553 | 3397.024 |
Std | 1.269139 | 9.260828 | 9.105299 | 3684.331 | 118.8349 | 2220.135 | 27.0935 | 15.47838 | 10.55471 | 11.15396 | 1.071719 | 21.2361 | 4127.228 | |
Rank | 1 | 3 | 6 | 13 | 10 | 11 | 9 | 8 | 5 | 7 | 2 | 4 | 12 | |
C17–F12 | Mean | 1264.785 | 7405.993 | 1,857,668 | 4.16E+08 | 3.58E+08 | 3,075,549 | 3,660,804 | 542,782.3 | 1,736,256 | 3,029,406 | 535,746.2 | 2,052,605 | 780,029.6 |
Std | 70.77641 | 3912.516 | 2,797,316 | 2.34E+08 | 2.40E+08 | 3,901,116 | 3,798,891 | 394,130.1 | 2,859,725 | 1,931,222 | 231,872.9 | 4,002,080 | 1,163,873 | |
Rank | 1 | 2 | 7 | 13 | 12 | 10 | 11 | 4 | 6 | 9 | 3 | 8 | 5 | |
C17–F13 | Mean | 1305.286 | 1409.721 | 9255.56 | 48,319,984 | 156,456.4 | 10,757.24 | 11,271.56 | 8876.265 | 7332.801 | 7770.462 | 12,151.13 | 4002.806 | 17,472.09 |
Std | 3.253005 | 90.92971 | 4795.622 | 34,341,047 | 157,875.7 | 4081.353 | 7174.125 | 11,669.59 | 3592.36 | 2998.318 | 3192.702 | 2832.82 | 14,149.47 | |
Rank | 1 | 2 | 7 | 13 | 12 | 8 | 9 | 6 | 4 | 5 | 10 | 3 | 11 | |
C17–F14 | Mean | 1404.229 | 1421.431 | 4072.795 | 4152.507 | 1530.82 | 3434.022 | 3926.646 | 1454.569 | 4830.939 | 1556.091 | 5458.992 | 4799.976 | 5105.294 |
Std | 3.247945 | 11.51847 | 3603.152 | 2123.556 | 18.62335 | 2180.291 | 1742.542 | 13.11094 | 544.8514 | 52.93744 | 2301.977 | 2247.15 | 2318.283 | |
Rank | 1 | 2 | 8 | 9 | 4 | 6 | 7 | 3 | 11 | 5 | 13 | 10 | 12 | |
C17–F15 | Mean | 1500.466 | 1535.347 | 5460.987 | 18,776.29 | 9913.155 | 8510.701 | 6231.2 | 2098.377 | 4279.24 | 1792.491 | 16,658.93 | 7685.853 | 3158.503 |
Std | 0.306769 | 15.28199 | 4238.325 | 6994.636 | 3414.155 | 8222.153 | 3525.437 | 701.4475 | 2099.798 | 61.61513 | 5065.939 | 7184.434 | 2632.158 | |
Rank | 1 | 2 | 7 | 13 | 11 | 10 | 8 | 4 | 6 | 3 | 12 | 9 | 5 | |
C17–F16 | Mean | 1601.334 | 1682.445 | 1839.092 | 2166.835 | 2069.018 | 1978.16 | 1846.775 | 1765.09 | 1780.596 | 1705.695 | 2236.048 | 1987.966 | 1794.031 |
Std | 0.862582 | 90.70794 | 143.5491 | 134.8703 | 95.39254 | 218.5485 | 86.6392 | 53.87892 | 182.4643 | 62.21953 | 173.939 | 149.8748 | 121.6675 | |
Rank | 1 | 2 | 7 | 12 | 11 | 9 | 8 | 4 | 5 | 3 | 13 | 10 | 6 | |
C17–F17 | Mean | 1720.654 | 1752.533 | 1758.496 | 1883.424 | 1845.692 | 1935.246 | 1814.364 | 1781.303 | 1811.675 | 1764.276 | 1799.808 | 1769.258 | 1757.12 |
Std | 1.727903 | 13.4588 | 26.30422 | 19.61517 | 58.69379 | 179.5958 | 43.64423 | 48.94268 | 77.40438 | 15.90544 | 87.01531 | 29.14751 | 5.458565 | |
Rank | 1 | 2 | 4 | 12 | 11 | 13 | 10 | 7 | 9 | 5 | 8 | 6 | 3 | |
C17–F18 | Mean | 1800.479 | 1826.583 | 15,205.55 | 23,378,880 | 64,940,626 | 30,319.65 | 7958.805 | 21,783.12 | 23,306.93 | 36,215.28 | 16,254.63 | 15,543.93 | 10,589.09 |
Std | 0.05863 | 13.9203 | 13,293.05 | 35,070,642 | 71,191,750 | 22,370.64 | 6062.679 | 3533.925 | 16,748.96 | 26,025.44 | 6315.797 | 12,751.68 | 4398.01 | |
Rank | 1 | 2 | 5 | 12 | 13 | 10 | 3 | 8 | 9 | 11 | 7 | 6 | 4 | |
C17–F19 | Mean | 1900.702 | 1913.364 | 12,247.17 | 436,755.4 | 5810.262 | 6837.111 | 195,324.4 | 2191.603 | 4790.23 | 2138.956 | 34,704.01 | 8236.65 | 7779.356 |
Std | 0.427842 | 4.436735 | 12,323.19 | 665,048.8 | 4103.845 | 5830.044 | 362,945.7 | 477.0055 | 4690.01 | 116.1022 | 12,672.72 | 6067.069 | 5444.44 | |
Rank | 1 | 2 | 10 | 13 | 6 | 7 | 12 | 4 | 5 | 3 | 11 | 9 | 8 | |
C17–F20 | Mean | 2019.37 | 2033.266 | 2128.562 | 2238.568 | 2272.277 | 2181.009 | 2230.301 | 2040.996 | 2082.269 | 2106.398 | 2375.093 | 2156.253 | 2062.366 |
Std | 2.038897 | 17.8688 | 73.47092 | 41.157 | 70.45386 | 109.4213 | 53.19774 | 23.40831 | 61.72129 | 58.81 | 116.6622 | 32.31973 | 24.6195 | |
Rank | 1 | 2 | 7 | 11 | 12 | 9 | 10 | 3 | 5 | 6 | 13 | 8 | 4 | |
C17–F21 | Mean | 2200 | 2290.676 | 2276.057 | 2293.084 | 2386.818 | 2356.454 | 2320.465 | 2297.017 | 2320.752 | 2307.248 | 2365.539 | 2305.033 | 2279.787 |
Std | 1.53E−05 | 54.79291 | 78.02373 | 63.24152 | 10.28605 | 14.65714 | 48.88532 | 59.71873 | 3.55571 | 64.48889 | 11.63849 | 63.6209 | 67.40391 | |
Rank | 1 | 4 | 2 | 5 | 13 | 11 | 9 | 6 | 10 | 8 | 12 | 7 | 3 | |
C17–F22 | Mean | 2300.224 | 2314.731 | 2303.994 | 3227.993 | 2897.683 | 2509.825 | 2294.944 | 2308.56 | 2314.187 | 2322.982 | 2304.701 | 2688.169 | 2322.792 |
Std | 0.269337 | 2.09113 | 17.45317 | 275.5742 | 327.6667 | 156.3429 | 23.63552 | 1.362762 | 11.15749 | 6.493858 | 0.197655 | 452.8454 | 2.661702 | |
Rank | 2 | 7 | 3 | 13 | 12 | 10 | 1 | 5 | 6 | 9 | 4 | 11 | 8 | |
C17–F23 | Mean | 2609.635 | 2645.396 | 2634.253 | 2721.782 | 2722.347 | 2717.131 | 2650.59 | 2632.575 | 2632.437 | 2638.587 | 2743.695 | 2645.144 | 2663.978 |
Std | 1.438651 | 31.51647 | 16.5902 | 24.45716 | 25.37687 | 43.37295 | 12.56156 | 9.526387 | 7.560925 | 7.277304 | 13.57048 | 11.51228 | 9.999389 | |
Rank | 1 | 7 | 4 | 11 | 12 | 10 | 8 | 3 | 2 | 5 | 13 | 6 | 9 | |
C17–F24 | Mean | 2525.171 | 2752.267 | 2782.752 | 2879.698 | 2860.669 | 2733.065 | 2768.282 | 2758.003 | 2741.52 | 2771.078 | 2583.9 | 2729.385 | 2662.547 |
Std | 49.73738 | 12.17657 | 25.28246 | 37.66572 | 65.12911 | 138.6968 | 7.684337 | 16.12647 | 4.073424 | 5.870153 | 155.243 | 149.9454 | 139.651 | |
Rank | 1 | 7 | 11 | 13 | 12 | 5 | 9 | 8 | 6 | 10 | 2 | 4 | 3 | |
C17–F25 | Mean | 2823.318 | 2929.341 | 2929.746 | 3329.029 | 3593.552 | 3069.786 | 2948.464 | 2926.491 | 2951.622 | 2975.276 | 2948.103 | 2930.041 | 2957.947 |
Std | 147.0641 | 27.09739 | 28.65288 | 18.79409 | 167.5398 | 136.9743 | 37.65274 | 27.34272 | 9.693107 | 37.40484 | 1.475713 | 23.64338 | 4.929348 | |
Rank | 1 | 3 | 4 | 12 | 13 | 11 | 7 | 2 | 8 | 10 | 6 | 5 | 9 | |
C17–F26 | Mean | 2850.001 | 2978.809 | 3100.499 | 4206.394 | 4338.354 | 4215.225 | 3639.395 | 3154.31 | 3147.103 | 2965.251 | 3495.814 | 2931.491 | 3059.523 |
Std | 57.04117 | 36.98457 | 166.3879 | 274.9528 | 212.5982 | 509.8201 | 522.609 | 492.1441 | 477.1277 | 29.70273 | 797.1836 | 95.12112 | 124.777 | |
Rank | 1 | 4 | 6 | 11 | 13 | 12 | 10 | 8 | 7 | 3 | 9 | 2 | 5 | |
C17–F27 | Mean | 3089.072 | 3109.201 | 3109.83 | 3166.048 | 3158.607 | 3203.216 | 3137.305 | 3097.661 | 3122.623 | 3100.337 | 3241.464 | 3141.599 | 3135.664 |
Std | 0.149314 | 5.414357 | 1.041531 | 15.62356 | 23.56992 | 74.88506 | 47.23808 | 2.351952 | 37.48225 | 1.910065 | 23.03608 | 29.93848 | 8.581193 | |
Rank | 1 | 4 | 5 | 11 | 10 | 12 | 8 | 2 | 6 | 3 | 13 | 9 | 7 | |
C17–F28 | Mean | 3100 | 3222.248 | 3338.191 | 3742.684 | 3784.47 | 3392.824 | 3284.774 | 3352.963 | 3343.541 | 3356.946 | 3485.345 | 3253.957 | 3402.522 |
Std | 5.84E−05 | 118.6261 | 152.8046 | 153.8028 | 95.02999 | 114.2564 | 93.65222 | 87.87781 | 70.86424 | 116.2291 | 23.7622 | 168.9478 | 159.4454 | |
Rank | 1 | 2 | 5 | 12 | 13 | 9 | 4 | 7 | 6 | 8 | 11 | 3 | 10 | |
C17–F29 | Mean | 3146.525 | 3164.963 | 3255.733 | 3444.153 | 3428.231 | 3307.865 | 3443.656 | 3227.828 | 3208.231 | 3222.719 | 3499.493 | 3253.765 | 3229.476 |
Std | 9.568595 | 10.20158 | 70.90286 | 168.1615 | 66.62771 | 76.32693 | 150.8572 | 115.446 | 62.07687 | 18.88763 | 261.2242 | 35.07659 | 35.98322 | |
Rank | 1 | 2 | 8 | 12 | 10 | 9 | 11 | 5 | 3 | 4 | 13 | 7 | 6 | |
C17–F30 | Mean | 3400.543 | 5051.404 | 1,157,840 | 11,308,633 | 9,698,406 | 6,490,475 | 446,360.4 | 731,716.7 | 758,536.2 | 393,431.9 | 1,719,866 | 557,081.9 | 2,860,703 |
Std | 8.742004 | 1539.75 | 574,969.4 | 6,783,947 | 7,381,265 | 7,219,521 | 470,854.1 | 830,971.6 | 730,272.4 | 695,987.5 | 2,062,222 | 730,458.6 | 2,660,945 | |
Rank | 1 | 2 | 8 | 13 | 12 | 11 | 4 | 6 | 7 | 3 | 9 | 5 | 10 | |
Sum rank | 32 | 94 | 192 | 343 | 330 | 288 | 241 | 134 | 175 | 187 | 244 | 180 | 199 | |
Mean rank | 1.103448 | 3.241379 | 6.62069 | 11.82759 | 11.37931 | 9.931034 | 8.310345 | 4.62069 | 6.034483 | 6.448276 | 8.413793 | 6.206897 | 6.862069 | |
Total rank | 1 | 2 | 7 | 13 | 12 | 11 | 9 | 3 | 4 | 6 | 10 | 5 | 8 | |
