Research Article
An Improved Genetic Algorithm with Initial Population Strategy for Symmetric TSP
Table 2
Results of different strategies with the same time.
| Method | RIP | GIP | KIP | Examples | Best err. (%) | Ave. err. (%) | Ave. time (s) | Best err. (%) | Ave. err. (%) | Ave. time (s) | Best err. (%) | Ave. err. (%) | Ave. time (s) |
| berlin52 | 2.2890 | 5.6054 | 16.3333 | 4.5497 | 5.4338 | 16.3333 | 0.0000 | 3.0120 | 16.3208 | kroA100 | 2.4233 | 4.8220 | 20.3425 | 0.7447 | 4.4327 | 20.3425 | 0.1035 | 2.5505 | 20.3318 | pr144 | 1.5751 | 2.9365 | 26.5358 | 1.8611 | 4.8923 | 26.5358 | 2.0176 | 3.5041 | 26.5335 | ch150 | 4.7941 | 9.8965 | 25.4282 | 5.0946 | 7.7747 | 25.4282 | 5.1038 | 6.7850 | 25.4257 | kroB150 | 2.9470 | 5.9548 | 25.5686 | 3.4723 | 6.9908 | 25.5686 | 3.3544 | 5.8072 | 25.5628 | pr152 | 3.0562 | 4.2483 | 26.4266 | 1.7454 | 3.9500 | 26.4266 | 2.5998 | 3.5800 | 26.4204 | rat195 | 6.3251 | 8.6355 | 30.0770 | 11.4580 | 12.9902 | 30.0770 | 8.7133 | 11.3242 | 30.0717 | d198 | 4.4745 | 5.3608 | 32.5886 | 4.4171 | 4.9603 | 32.5886 | 2.8149 | 4.5911 | 32.5780 | kroA200 | 9.3804 | 11.7009 | 31.8710 | 8.4947 | 11.349 | 31.871 | 5.3725 | 8.8791 | 31.8691 | ts225 | 9.7628 | 13.5387 | 34.1798 | 11.1856 | 16.8642 | 34.1798 | 10.3008 | 14.5409 | 34.1776 | pr226 | 6.6253 | 7.0874 | 36.3014 | 9.6295 | 12.8062 | 36.3014 | 4.9741 | 6.1991 | 36.3008 | pr299 | 18.0739 | 21.8767 | 44.7099 | 24.5210 | 28.4839 | 44.7099 | 14.6584 | 17.0753 | 44.6964 | lin318 | 25.4203 | 27.0580 | 47.2527 | 28.4007 | 29.9471 | 47.2527 | 15.0669 | 17.2412 | 47.2462 | pcb442 | 40.6996 | 43.8170 | 62.8216 | 41.6218 | 45.9415 | 62.8216 | 22.5887 | 24.0461 | 62.8187 | Average | 9.8462 | 12.3242 | 32.8884 | 11.2283 | 14.0583 | 32.8884 | 6.9763 | 9.2239 | 32.8824 |
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