Table 7 Comparison of proposed algorithm and other algorithms on CEC-2017 benchmark functions.
From: Chameleon swarm algorithm with Morlet wavelet mutation for superior optimization performance
F. No. | Metrics | Proposed | CSA | ABC | ACO | EHO | EWA | GSA | KHA | MBO | PSO | SCA |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
F69 | Mean | 2.71E + 04 | 2.14E + 03 | 1.51e + 07 | 3473.399 | 3.91e + 09 | 9.11e + 09 | 275.9256 | 1231.884 | 2.69e + 09 | 6.84e + 08 | 7.63e + 08 |
Std. dev | 1.15E + 04 | 2.39E + 03 | 1.10e + 07 | 3912.219 | 9.35e + 08 | 3.23e + 09 | 233.972 | 1535.154 | 1.44e + 09 | 2.18e + 08 | 2.99e + 08 | |
F70 | Mean | 3.00E + 02 | 3.00E + 02 | 11870.86 | 429.3429 | 8551.457 | 13011.73 | 10930.07 | 2447.185 | 26292.06 | 1907.703 | 1667.599 |
Std. dev. | 8.66E-01 | 1.62E-04 | 2601.034 | 100.7011 | 2534.666 | 3215.011 | 2476.143 | 2029.243 | 15858.02 | 1613.804 | 1068.301 | |
F71 | Mean | 4.05E + 02 | 4.04E + 02 | 410.8322 | 403.9510 | 652.5524 | 1166.998 | 406.132 | 406.0538 | 570.7414 | 449.6804 | 442.3137 |
Std. dev. | 1.21E + 01 | 2.70E + 00 | 2.67069 | 0.168421 | 72.50278 | 321.4921 | 1.31166 | 2.621986 | 161.6766 | 28.83612 | 22.11951 | |
F72 | Mean | 5.24E + 02 | 5.09E + 02 | 522.2496 | 529.6379 | 568.2867 | 593.2093 | 557.1713 | 528.6551 | 551.0986 | 548.0846 | 546.8131 |
Std. dev. | 9.82E + 00 | 3.51E + 00 | 3.519481 | 4.499739 | 8.934784 | 17.42522 | 9.202492 | 9.015167 | 15.73492 | 7.398523 | 5.74464 | |
F73 | Mean | 6.06E + 02 | 6.02E + 02 | 602.8508 | 600 | 635.7782 | 652.2342 | 624.9813 | 609.1646 | 628.8333 | 619.3922 | 618.1006 |
Std. dev. | 5.56E + 00 | 1.26E + 00 | 0.860507 | 4.22e-14 | 4.67684 | 12.12105 | 10.25628 | 5.834042 | 12.43779 | 3.409804 | 3.228987 | |
F74 | Mean | 7.37E + 02 | 7.21E + 02 | 741.9019 | 742.8243 | 827.7705 | 828.1968 | 715.2126 | 721.3522 | 784.1267 | 773.5919 | 775.7746 |
Std. dev. | 1.48E + 01 | 5.61E + 00 | 6.306468 | 4.737585 | 12.13333 | 25.76585 | 2.990161 | 6.346181 | 31.40896 | 10.22259 | 11.7603 | |
F75 | Mean | 8.15E + 02 | 8.09E + 02 | 821.5658 | 830.0375 | 855.5772 | 864.5029 | 822.1544 | 818.7726 | 858.7612 | 839.6358 | 838.8361 |
Std. dev. | 6.65E + 00 | 4.60E + 00 | 5.143925 | 4.060205 | 5.797003 | 10.65639 | 4.887784 | 8.482399 | 20.30692 | 7.819929 | 7.597678 | |
F76 | Mean | 9.46E + 02 | 9.03E + 02 | 928.2383 | 900 | 1357.765 | 1903.74 | 900 | 908.6887 | 1284.198 | 1006.305 | 996.8667 |
Std. dev. | 5.30E + 01 | 4.33E + 00 | 15.33102 | 0 | 128.6872 | 322.8076 | 0 | 28.82673 | 358.8684 | 64.61087 | 33.98794 | |
F77 | Mean | 1.67E + 03 | 1.61E + 03 | 1558.567 | 2129.827 | 2497.313 | 3021.653 | 2765.49 | 2073.715 | 2217.919 | 2256.504 | 2317.386 |
Std. dev. | 2.73E + 02 | 2.26E + 02 | 135.5875 | 297.6214 | 191.6777 | 292.5522 | 240.1817 | 309.9358 | 280.2803 | 280.8657 | 260.37 | |
F78 | Mean | 1.13E + 03 | 1.12E + 03 | 1134.388 | 1107.343 | 1349.82 | 6825.715 | 1138.12 | 1141.113 | 2563.498 | 1184.773 | 1192.63 |
Std. dev. | 1.47E + 01 | 2.88E + 01 | 10.65167 | 1.297857 | 80.78795 | 6327.225 | 14.08996 | 21.46149 | 2340.484 | 33.72219 | 37.18676 | |
F79 | Mean | 3.12E + 04 | 1.12E + 04 | 9.50e + 05 | 22347.765 | 1.03e + 08 | 3.88e + 08 | 745403.5 | 1,820,698 | 77,676,773 | 14,944,227 | 16,555,949 |
Std. dev. | 5.10E + 04 | 1.09E + 04 | 6.41e + 05 | 13611.621 | 35,872,548 | 3.97e + 08 | 478,064 | 1,538,504 | 82,611,343 | 10,984,716 | 17,144,986 | |
F80 | Mean | 1.99E + 03 | 1.75E + 03 | 15297.02 | 9620.5418 | 626073.7 | 4.87e + 07 | 12266.49 | 11241.84 | 2.66e + 06 | 31942.19 | 33333.14 |
Std. dev. | 3.45E + 02 | 2.70E + 02 | 6548.883 | 8275.0999 | 544045.6 | 6.26e + 07 | 3145.719 | 5797.629 | 3.35e + 06 | 19903.58 | 18764.29 | |
F81 | Mean | 1.45E + 03 | 1.44E + 03 | 1947.539 | 2730.3463 | 1984.571 | 110349.4 | 6050.159 | 2808.717 | 141579.3 | 1754.587 | 1826.561 |
Std. dev. | 1.72E + 01 | 1.23E + 01 | 378.4723 | 3022.3391 | 550.6392 | 190099.6 | 1902.638 | 2590.406 | 293227.6 | 706.1036 | 663.9633 | |
F82 | Mean | 1.58E + 03 | 1.59E + 03 | 1999.952 | 4073.5241 | 6461.742 | 1.83e + 06 | 19462.96 | 9883.937 | 273324.6 | 2396.541 | 2094.954 |
Std. dev. | 5.75E + 01 | 6.01E + 01 | 321.4302 | 4844.1921 | 2898.962 | 6.80e + 06 | 5487.597 | 9024.832 | 1,171,099 | 664.8275 | 358.072 | |
F83 | Mean | 1.71E + 03 | 1.62E + 03 | 1665.888 | 1612.1326 | 1960.062 | 2197.858 | 2169.556 | 1947.692 | 1945.786 | 1736.888 | 1739.073 |
Std. dev. | 9.47E + 01 | 3.56E + 01 | 46.79145 | 0.7997813 | 88.95026 | 146.9085 | 103.7306 | 116.05 | 132.5913 | 84.03994 | 69.70736 | |
F84 | Mean | 1.74E + 03 | 1.74E + 03 | 1738.019 | 1747.7528 | 1801.469 | 1903.499 | 1893.805 | 1763.032 | 1791.424 | 1775.685 | 1779.924 |
Std. dev. | 1.48E + 01 | 1.94E + 01 | 9.408983 | 2.6588455 | 20.7347 | 87.11427 | 109.6289 | 22.26015 | 65.79866 | 13.38982 | 18.55763 | |
F85 | Mean | 2.80E + 03 | 2.01E + 03 | 15416.37 | 25677.209 | 1,531,451 | 1.74e + 08 | 9800.403 | 13680.13 | 3.03e + 06 | 127255.2 | 110502.3 |
Std. dev. | 1.71E + 03 | 1.76E + 02 | 9039.951 | 14976.346 | 1,270,096 | 2.52e + 08 | 4763.055 | 9106.063 | 6.53e + 06 | 113605.9 | 83703.33 | |
F86 | Mean | 1.94E + 03 | 1.93E + 03 | 2514.381 | 7690.0857 | 9278.28 | 8.68e + 06 | 46813.25 | 8120.749 | 55548.52 | 6002.25 | 4925.699 |
Std. dev. | 2.94E + 01 | 2.86E + 01 | 959.7638 | 6775.2704 | 6721.444 | 1.39e + 07 | 19162.87 | 6219.891 | 231086.8 | 5463.183 | 4423.837 | |
F87 | Mean | 2.05E + 03 | 2.03E + 03 | 2037.829 | 2004.4208 | 2141.217 | 2282.004 | 2275.684 | 2134.03 | 2112.056 | 2093.246 | 2096.934 |
Std. dev. | 3.20E + 01 | 9.34E + 00 | 10.01486 | 21.904078 | 29.40974 | 104.6475 | 100.1734 | 67.27155 | 49.97817 | 19.88185 | 25.01844 | |
F88 | Mean | 2.29E + 03 | 2.30E + 03 | 2217.431 | 2331.0533 | 2261.978 | 2368.285 | 2358.121 | 2256.811 | 2346.541 | 2251.825 | 2243.573 |
Std. dev. | 5.72E + 01 | 3.28E + 01 | 12.55623 | 3.3602774 | 20.39812 | 47.79793 | 27.33747 | 61.28068 | 43.06961 | 62.53914 | 56.49253 | |
F89 | Mean | 2.30E + 03 | 2.30E + 03 | 2285.16 | 2304.6889 | 2589.488 | 2945.56 | 2300.011 | 2302.17 | 2735.675 | 2355.994 | 2371.848 |
Std. dev. | 1.47E + 01 | 2.76E + 01 | 17.93655 | 0.9469408 | 91.07898 | 224.153 | 0.06297 | 1.620206 | 307.9171 | 25.29143 | 35.03303 | |
F90 | Mean | 2.63E + 03 | 2.61E + 03 | 2589.826 | 2626.7905 | 2705.663 | 2791.775 | 2756.771 | 2631.141 | 2648.309 | 2655.9 | 2654.836 |
Std. dev. | 1.80E + 01 | 4.05E + 00 | 82.60015 | 4.3128631 | 15.3191 | 53.75314 | 53.20707 | 63.52294 | 17.83721 | 8.909316 | 11.34653 | |
F91 | Mean | 2.73E + 03 | 2.73E + 03 | 2565.885 | 2760.0581 | 2706.624 | 2897.337 | 2653.707 | 2655.101 | 2793.87 | 2775.073 | 2755.772 |
Std. dev. | 8.18E + 01 | 4.43E + 01 | 19.14422 | 3.8818984 | 55.72094 | 92.80119 | 168.3652 | 129.5381 | 43.37924 | 43.80023 | 73.90712 | |
F92 | Mean | 2.92E + 03 | 2.91E + 03 | 2918.783 | 2942.0745 | 3115.528 | 3460.244 | 2942.62 | 2927.836 | 3019.739 | 2962.343 | 2957.563 |
Std. dev. | 2.36E + 01 | 2.25E + 01 | 14.63454 | 15.009559 | 48.11038 | 207.4497 | 5.160336 | 22.26353 | 74.62458 | 12.74057 | 14.70874 | |
F93 | Mean | 3.01E + 03 | 2.92E + 03 | 2821.021 | 3551.1879 | 3440.261 | 4140.495 | 3698.63 | 3073.743 | 3583.037 | 3081.613 | 3069.668 |
Std. dev. | 1.39E + 02 | 5.36E + 01 | 83.7193 | 517.84485 | 108.0022 | 403.2259 | 710.2253 | 278.4648 | 462.6585 | 52.76962 | 28.39842 | |
F94 | Mean | 3.10E + 03 | 3.09E + 03 | 3102.174 | 3090.2951 | 3174.783 | 3308.397 | 3260.365 | 3139.024 | 3122.047 | 3103.287 | 3102.828 |
Std. dev. | 1.38E + 01 | 2.85E + 00 | 2.774271 | 1.3980473 | 19.00431 | 69.83134 | 38.84866 | 44.11037 | 26.0317 | 1.492919 | 1.780704 | |
F95 | Mean | 3.30E + 03 | 3.37E + 03 | 3191.306 | 3411.8218 | 3466.476 | 3806.799 | 3456.981 | 3272.782 | 3435.844 | 3275.676 | 3253.551 |
Std. dev. | 2.17E-01 | 1.43E + 02 | 46.93048 | 1.85e-12 | 78.28678 | 142.6995 | 35.92788 | 141.697 | 103.3833 | 68.47646 | 35.62172 | |
F96 | Mean | 3.19E + 03 | 3.15E + 03 | 3195.017 | 3174.7205 | 3330.083 | 3522.554 | 3427.118 | 3249.654 | 3327.52 | 3238.357 | 3229.173 |
Std. dev. | 3.84E + 01 | 1.51E + 01 | 28.17671 | 13.523257 | 48.34743 | 159.3801 | 138.0466 | 58.46674 | 104.0239 | 40.04224 | 39.43467 | |
F97 | Mean | 1.49E + 05 | 1.57E + 05 | 46151.02 | 393629.20 | 6,033,642 | 3.90e + 07 | 963721.7 | 1.23e + 06 | 4.56e + 06 | 832719.8 | 768822.3 |
Std. dev. | 3.63E + 05 | 2.75E + 05 | 50420.62 | 533225.08 | 3,387,805 | 3.27e + 07 | 273350.8 | 1.47e + 06 | 4.09e + 06 | 636666.3 | 655289.3 |
