Research Article
An Improved Real-Coded Genetic Algorithm Using the Heuristical Normal Distribution and Direction-Based Crossover
Table 2
The computational results of various algorithms.
| Function | IRCGA-1 | IRCGA-2 | IRCGA-3 | SPXMOGA | HGA | MOIRCGA | tave (s) | iterave (times) | tave (s) | iterave (times) | tave (s) | iterave (times) | tave (s) | iterave (times) | tave (s) | iterave (times) | tave (s) | iterave (times) |
| f1 | 0.1142 | 89.6250 | 0.0709 | 68.1900 | 0.0679 | 51.3940 | 0.2024 | 624.2430 | 0.0168 | 17.1530 | 0.0155 | 6.2150 | f2 | 0.0285 | 18.2660 | 0.0108 | 11.9562 | 0.0064 | 5.6540 | 0.0389 | 15.8500 | 0.0041 | 3.7000 | 0.0020 | 2.0330 | f3 | 0.0842 | 36.2200 | 0.0095 | 13.6253 | 0.0120 | 15.7290 | 0.0824 | 20.5700 | 0.0068 | 4.8800 | 0.0063 | 3.1400 | f4 | 0.0648 | 22.7620 | 0.0072 | 10.6824 | 0.0088 | 12.6810 | 0.1223 | 275.3800 | 0.0135 | 8.4500 | 0.0046 | 3.5120 | f5 | 0.0664 | 26.5900 | 0.0186 | 36.2560 | 0.0190 | 38.2210 | 0.1317 | 428.9000 | 0.0179 | 23.6320 | 0.0158 | 20.8310 | f6 | 0.0260 | 15.7500 | 0.0156 | 20.2610 | 0.0141 | 18.6410 | 0.0271 | 82.4800 | 0.0601 | 26.0600 | 0.0068 | 4.9460 | f7 | 0.1305 | 41.1900 | 0.1356 | 242.6236 | 0.1287 | 224.1050 | 0.1936 | 263.3200 | 0.0862 | 36.6340 | 0.0198 | 22.6480 | f8 | 0.2868 | 185.0700 | 0.2568 | 263.6246 | 0.2107 | 451.7110 | 0.6230 | 1785.6240 | 0.1962 | 156.2300 | 0.1138 | 127.0690 | f9 | 0.1758 | 59.6400 | 0.0546 | 80.6528 | 0.0357 | 60.8970 | 0.1989 | 96.7800 | 0.0265 | 16.5600 | 0.0120 | 12.7330 | f10 | 16.5687 | 11835.8600 | 30.6528 | 31042.6540 | 27.3205 | 28412.8500 | 35.6283 | 32461.6280 | 15.7377 | 10983.8614 | 13.2385 | 8414.4000 | f11 | 0.0217 | 25.8100 | 0.0156 | 32.6246 | 0.0138 | 28.1210 | 0.1867 | 42.8300 | 0.0138 | 8.5320 | 0.0064 | 6.9180 | f12 | 0.0696 | 50.5600 | 0.0653 | 86.6810 | 0.0350 | 56.0080 | 0.2302 | 127.5760 | 0.0283 | 21.6230 | 0.0194 | 19.5300 | f13 | 0.1734 | 58.6100 | 0.0236 | 26.0625 | 0.0168 | 11.0350 | 0.1926 | 72.9426 | 0.0156 | 9.6230 | 0.0147 | 7.8780 | f14 | 0.1431 | 46.7300 | 0.0316 | 65.2681 | 0.0287 | 49.7220 | 0.2136 | 98.9260 | 0.0289 | 33.2310 | 0.0266 | 31.3050 | f15 | 0.1072 | 34.0400 | 0.1562 | 226.3584 | 0.1037 | 180.7190 | 1.8626 | 236.2580 | 0.0626 | 28.5300 | 0.0221 | 24.9230 | f16 | 1.6890 | 1013.5681 | 1.7869 | 1926.5863 | 1.6216 | 1711.9600 | 6.5681 | 4267.8320 | 1.0321 | 1201.6560 | 0.8660 | 813.0560 |
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