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 0.00003.0120 16.3208
kroA100 2.4233 4.8220 20.3425 0.7447 4.4327 20.3425 0.10352.5505 20.3318
pr144 1.57512.9365 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 2.59983.5800 26.4204
rat195 6.32518.6355 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 2.81494.5911 32.5780
kroA200 9.3804 11.7009 31.8710 8.4947 11.349 31.871 5.37258.8791 31.8691
ts225 9.762813.5387 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 4.97416.1991 36.3008
pr299 18.0739 21.8767 44.7099 24.5210 28.4839 44.7099 14.658417.0753 44.6964
lin318 25.4203 27.0580 47.2527 28.4007 29.9471 47.2527 15.066917.2412 47.2462
pcb442 40.6996 43.8170 62.8216 41.6218 45.9415 62.8216 22.588724.0461 62.8187
Average 9.8462 12.3242 32.8884 11.2283 14.0583 32.8884 6.97639.2239 32.8824