Research Article
Cloud Particles Evolution Algorithm
Table 6
Comparison of DE, ODE, RDE, PSO, ABC, CEBA, and CPEA. The best result for each case is highlighted in boldface.
| | | DE | ODE |
AR ODE | RDE |
AR RDE | PSO |
AR PSO | ABC |
AR ABC | CEBA |
AR CEBA | CPEA |
AR CPEA | NFES | SR | NFES | SR | NFES | SR | NFES | SR | NFES | SR | NFES | SR | NFES | SR |
| | 30 | 87748 | 1 | 47716 | 1 | 1.83 | 115096 | 1 | 0.76 | 20290 | 1 | 4.32 | 18370 | 1 | 4.77 | 133381 | 1 | 0.66 | 5266 | 1 | 16.66 | | 30 | 41588 | 1 | 23124 | 1 | 1.80 | 54316 | 1 | 0.77 | 11541 | 1 | 3.60 | 6247 | 1 | 6.66 | 58416 | 1 | 0.71 | 2966 | 1 | 14.02 | | 2 | 4324 | 1 | 4776 | 1 | 0.90 | 4904 | 1 | 0.88 | 6110 | 1 | 0.71 | 18050 | 1 | 0.24 | 38278 | 1 | 0.11 | 4350 | 1 | 0.99 | | 20 | 177880 | 1 | 168680 | 1 | 1.05 | 231152 | 1 | 0.77 | — | 0 | — | — | 0 | — | — | 0 | — | 11068 | 1 | 16.07 | | 30 | 25140 | 1 | 8328 | 1 | 3.01 | 29096 | 1 | 0.86 | 5910 | 1 | 4.25 | 6134 | 1 | 4.10 | 18037 | 1 | 1.39 | 1700 | 1 | 14.79 | | 2 | 8016 | 1 | 6608 | 1 | 1.21 | 8248 | 1 | 0.97 | 7185 | 1 | 1.12 | 25407 | 1 | 0.32 | 66319 | 1 | 0.12 | 5033 | 1 | 1.59 | | 30 | 113428 | 1 | 69342 | 0.96 | 1.64 | 149744 | 1 | 0.76 | 20700 | 0.84 | 5.48 | 20930 | 0.96 | 5.42 | 209278 | 1 | 0.54 | 9941 | 1 | 11.41 | | 3 | 3376 | 1 | 3580 | 1 | 0.94 | 3652 | 1 | 0.92 | 4090 | 1 | 0.83 | 1492 | 1 | 2.26 | 206859 | 1 | 0.02 | 31874 | 1 | 0.11 | | 2 | 5352 | 1 | 4468 | 1 | 1.20 | 6292 | 1 | 0.85 | 2830 | 1 | 1.89 | 1077 | 1 | 4.97 | 9200 | 1 | 0.58 | 3856 | 1 | 1.39 | | 2 | 3608 | 1 | 3288 | 1 | 1.09 | 3924 | 1 | 0.92 | 5485 | 1 | 0.66 | 10891 | 1 | 0.33 | 6633 | 1 | 0.54 | 1920 | 1 | 1.88 | | 30 | 385192 | 1 | 369104 | 1 | 1.04 | 498200 | 1 | 0.77 | — | 0 | — | — | 0 | — | 142564 | 1 | 2.70 | 12662 | 1 | 30.42 | | 30 | 187300 | 1 | 155636 | 1 | 1.20 | 244396 | 1 | 0.76 | — | 0 | — | 25787 | 1 | 7.23 | 157139 | 1 | 1.19 | 10183 | 1 | 18.39 | | 30 | 101460 | 1 | 70408 | 1 | 1.44 | 138308 | 1 | 0.73 | 6512 | 1 | 15.58 | — | 0 | — | — | 0 | — | 4300 | 1 | 23.60 | | 30 | 570290 | 0.28 | 72250 | 0.88 | 7.89 | 285108 | 1 | 2.00 | — | 0 | — | — | 0 | — | 292946 | 1 | 1.95 | 31112 | 0.98 | 18.33 | | 30 | 96488 | 1 | 53304 | 1 | 1.81 | 126780 | 1 | 0.76 | 18757 | 1 | 5.14 | 15150 | 1 | 6.37 | 103475 | 1 | 0.93 | 6466 | 1 | 14.92 | | 2 | 1016 | 1 | 996 | 1 | 1.02 | 1084 | 1 | 0.94 | 428 | 1 | 2.37 | 301 | 1 | 3.38 | 3292 | 1 | 0.31 | 610 | 1 | 1.67 | | 10 | 328844 | 1 | 70389 | 0.76 | 4.67 | 501875 | 0.96 | 0.66 | — | 0 | — | 7935 | 1 | 41.44 | 48221 | 1 | 6.82 | 3725 | 1 | 88.28 | | 30 | 169152 | 1 | 98296 | 1 | 1.72 | 222784 | 1 | 0.76 | 27250 | 0.92 | 6.21 | 32398 | 1 | 5.22 | 184041 | 1 | 0.92 | 13400 | 1 | 12.62 | | 30 | 411164 | 1 | 337532 | 1 | 1.22 | 927230 | 0.24 | 0.44 | — | 0 | — | 156871 | 1 | 2.62 | 148014 | 1 | 2.78 | 6233 | 1 | 65.97 |
| Ave | 0.96 | 0.98 | 0.98 | 0.96 | 0.86 | 0.67 | 4.01 | 0.79 | 6.36 | 0.89 | 1.31 | 0.99 | 18.58 |
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