Research Article
Chaotic Fruit Fly Algorithm for Solving Engineering Design Problems
Table 3
The average error of the 25 CEC’2005 benchmark functions as determined by CFFA and comparing algorithms.
| Function | PSO | IPOP-CMA-ES | CHC | SSGA | SS-BLX | SS-Arit | DE-Bin | DE-Exp | SaDE | CFFA |
| F1 | 1.234E-4 | 0 | 2.464 | 8.420E-9 | 34.02 | 1.064 | 7.716E-9 | 8.260E-9 | 8.416E-9 | 0 | F2 | 0.02595 | 0 | 0.0118 | 8.719E-5 | 1.730 | 5.282 | 8.342E-9 | 8.181E-9 | 8.208E-9 | 0 | F3 | 51740 | 0 | 269900 | 79480 | 184400 | 253500 | 42.33 | 99.35 | 6560 | 20.8036 | F4 | 2.488 | 2932 | 91.9 | 2.585E-3 | 6.228 | 5.755 | 7.686E-9 | 8.350E-9 | 8.087E-9 | 0 | F5 | 409.5 | 8.104E-10 | 264.1 | 134.3 | 2.185 | 14.43 | 8.608E-9 | 8.514E-9 | 8.640E-9 | 2.600E-5 | F6 | 731 | 0 | 1416000 | 6.171 | 114.5 | 494.5 | 7.956E-9 | 8.391E-9 | 0.01612 | 0.635 | F7 | 26.78 | 1267 | 1269 | 1271 | 1966 | 1908 | 1266 | 1265 | 1263 | 4.831 | F8 | 20.43 | 20.01 | 20.34 | 20.37 | 20.35 | 20.36 | 20.33 | 20.38 | 20.32 | 14.54 | F9 | 14.38 | 28.41 | 5.886 | 7.286E-9 | 4.195 | 5.960 | 4.546 | 8.151E-9 | 8.330E-9 | 0.000 | F10 | 14.04 | 23.27 | 7.123 | 17.12 | 12.39 | 21.79 | 12.28 | 11.18 | 15.48 | 4.541 | F11 | 5.590 | 1.343 | 1.599 | 3.255 | 2.929 | 2.858 | 2.434 | 2.067 | 6.796 | 3.094 | F12 | 636.2 | 212.7 | 706.2 | 279.4 | 150.6 | 241.1 | 106.1 | 63.09 | 56.34 | 5.732 | F13 | 1.503 | 1.134 | 82.97 | 67.13 | 32.45 | 54.79 | 1.573 | 64.03 | 70.70 | 1.052 | F14 | 3.304 | 3.775 | 2.073 | 2.264 | 2.796 | 2.970 | 3.073 | 3.158 | 3.415 | 2.501 | F15 | 339.8 | 193.4 | 275.1 | 292 | 113.6 | 128.8 | 372.2 | 294 | 84.23 | 0 | F16 | 133.3 | 117 | 97.29 | 105.3 | 104.1 | 113.4 | 111.7 | 112.5 | 122.7 | 83.85 | F17 | 149.7 | 338.9 | 104.5 | 118.5 | 118.3 | 127.9 | 142.1 | 131.2 | 138.7 | 107.3 | F18 | 851.2 | 557 | 879.9 | 806.3 | 766.8 | 657.8 | 509.7 | 448.2 | 532 | 479.2 | F19 | 849.7 | 529.2 | 879.8 | 889.9 | 755.5 | 701 | 501.2 | 434.1 | 519.5 | 458.1 | F20 | 850.9 | 526.4 | 896 | 889.3 | 746.3 | 641.1 | 492.8 | 418.8 | 476.7 | 335.1 | F21 | 913.8 | 442 | 815.8 | 852.2 | 485.1 | 500.5 | 524 | 542 | 514 | 394.5 | F22 | 807.1 | 764.7 | 774.2 | 751.9 | 682.8 | 694.1 | 771.5 | 772 | 765.5 | 632.7 | F23 | 1028 | 853.9 | 1075 | 1004 | 574 | 582.8 | 633.7 | 582.4 | 650.9 | 594.7 | F24 | 412 | 610.1 | 295900 | 236 | 251.3 | 201.1 | 206 | 202 | 200 | 210.5 | F25 | 509.9 | 1818 | 1764 | 1747 | 1794 | 1804 | 1744 | 1742 | 1738 | 274.3 |
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