Mathematical Problems in Engineering / 2020 / Article / Tab 1 / Research Article
Optimizing High-Dimensional Functions with an Efficient Particle Swarm Optimization Algorithm Table 1 The performance of PSOTS, the traditional PSO algorithm (PSO), the AsynLnPSO algorithm (APSO), the LinWPSO algorithm (LPSO), GPSO, CCAS, and VPSO on 9 functions in the benchmark dataset when the dimensionality is 100.
Function Ackley Cigar Griewank Rastrigin Rosenbrock Noncon-rast Schwefel Tablet Ellipse PSOTS Best 0.267 1514.120 0.003 46.419 115.979 27.432 46.644 0.510 43.013 Mean 0.365 2926.385 0.005 54.378 127.799 53.147 54.476 0.720 93.883 STD 0.078 828.050 0.001 6.993 12.423 14.221 4.598 0.161 28.614 PSO Best 0.329 2592.790 0.005 186.276 119.860 379.094 36.258 0.732 53.693 Mean 0.470 3733.502 0.007 250.535 138.929 491.466 42.399 1.033 89.141 STD 0.068 664.997 0.002 32.151 10.426 82.755 4.212 0.169 24.346 APSO Best 0.411 3565.981 0.006 175.738 133.197 413.469 35.950 0.902 65.058 Mean 0.478 4494.736 0.007 241.698 143.726 497.665 44.798 1.137 104.126 STD 0.040 679.345 0.001 44.640 7.900 72.039 4.644 0.238 26.315 LPSO Best 0.333 2522.980 0.005 161.634 127.660 385.249 35.380 0.798 73.928 Mean 0.449 3742.696 0.007 252.637 138.899 467.999 43.031 1.131 107.747 STD 0.070 1030.457 0.001 43.480 9.272 67.804 5.211 0.194 29.712 GPSO Best 0.312 2221.012 0.005 121.513 131.571 227.312 44.372 0.735 55.721 Mean 0.427 3251.760 0.008 203.624 168.632 359.351 53.921 1.129 95.463 STD 0.071 943.279 0.002 41.531 11.212 65.231 5.137 0.134 23.461 CCAS Best 0.308 2013.537 0.004 124.249 121.326 195.272 42.681 0.683 52.381 Mean 0.392 3121.583 0.007 227.515 173.625 293.422 51.732 1.127 91.272 STD 0.068 856.863 0.001 52.234 10.521 74.321 4.928 0.183 25.641 VPSO Best 0.281 1923.361 0.004 93.627 126.731 143.368 33.291 0.654 49.728 Mean 0.353 3251.672 0.008 182.676 165.472 252.431 43.562 0.972 88.362 STD 0.042 943.612 0.002 45.572 9.837 78.635 5.138 0.136 26.732