Research Article
Dynamic Reduction-Expansion Operator to Improve Performance of Genetic Algorithms for the Traveling Salesman Problem
Table 2
Results on the 20 largest TSP instances: average, best, and worst results on 10 runs of the GA with 500 generations.
| | Instance | | | RedExp | _ | _RedExp | _RedExp | | | Average | Best | Worst | Average | Best | Worst | Average | Best | Worst | Average | Best | Worst | Average | Best | Worst | Average | Best | Worst |
| | a280 | 219.82% | 210.47% | 237.19% | 8.56% | 7.07% | 11.29% | 7.23% | 3.83% | 9.33% | 8.22% | 6.04% | 10.29% | 8.85% | 4.95% | 11.97% | 8.88% | 6.90% | 10.19% | | d493 | 353.42% | 338.64% | 362.27% | 10.09% | 9.17% | 10.95% | 9.96% | 8.71% | 11.07% | 9.27% | 8.52% | 11.01% | 10.22% | 9.44% | 10.92% | 9.31% | 8.19% | 10.67% | | d657 | 648.07% | 637.43% | 659.50% | 16.58% | 15.87% | 17.39% | 12.80% | 11.77% | 13.45% | 17.25% | 15.32% | 18.91% | 13.42% | 11.84% | 14.31% | 13.06% | 11.61% | 14.13% | | dsj1000 | 1241.81% | 1213.86% | 1269.45% | 23.97% | 22.73% | 24.52% | 16.14% | 14.31% | 17.27% | 22.59% | 19.79% | 23.69% | 15.87% | 13.96% | 16.93% | 16.66% | 15.32% | 17.59% | | fl417 | 606.45% | 567.84% | 655.64% | 10.46% | 7.00% | 11.69% | 11.36% | 6.93% | 13.97% | 10.87% | 6.69% | 14.17% | 9.65% | 8.16% | 13.17% | 8.61% | 3.99% | 12.20% | | lin318 | 264.31% | 256.94% | 286.52% | 11.41% | 9.71% | 13.01% | 6.42% | 5.36% | 7.59% | 11.80% | 10.52% | 14.28% | 7.53% | 5.00% | 9.57% | 7.72% | 7.02% | 8.86% | | nrw1379 | 1261.95% | 1248.51% | 1277.91% | 19.51% | 18.28% | 20.42% | 18.38% | 17.79% | 19.19% | 20.19% | 19.11% | 20.72% | 18.74% | 18.02% | 19.50% | 19.01% | 18.11% | 19.89% | | pcb1173 | 1195.06% | 1167.86% | 1211.13% | 19.44% | 18.67% | 20.39% | 18.09% | 17.14% | 18.78% | 19.53% | 18.42% | 20.04% | 18.84% | 17.22% | 20.10% | 18.78% | 17.23% | 21.06% | | pr439 | 445.22% | 427.80% | 451.11% | 13.01% | 11.05% | 15.80% | 8.91% | 7.08% | 10.30% | 11.96% | 9.74% | 14.23% | 10.44% | 8.35% | 12.75% | 10.02% | 8.81% | 11.38% | | pr1002 | 1102.60% | 1095.34% | 1106.83% | 15.32% | 14.51% | 16.16% | 14.87% | 14.22% | 15.66% | 15.62% | 15.02% | 16.79% | 15.31% | 15.01% | 15.88% | 14.99% | 13.83% | 15.86% | | rat575 | 523.40% | 509.95% | 531.09% | 14.74% | 13.46% | 16.12% | 14.28% | 13.47% | 15.04% | 15.25% | 13.40% | 16.40% | 14.58% | 13.20% | 15.94% | 14.26% | 11.91% | 15.34% | | rat783 | 781.88% | 770.09% | 792.67% | 16.47% | 15.50% | 17.56% | 15.62% | 14.98% | 16.22% | 16.74% | 16.12% | 17.48% | 15.82% | 14.35% | 17.45% | 16.19% | 15.67% | 17.02% | | u724 | 764.02% | 752.12% | 772.07% | 16.71% | 15.00% | 18.26% | 14.85% | 13.25% | 16.05% | 17.08% | 15.28% | 18.37% | 15.19% | 13.73% | 16.86% | 14.77% | 13.27% | 15.65% | | u1432 | 1323.86% | 1297.30% | 1338.61% | 20.07% | 19.53% | 21.11% | 20.05% | 18.92% | 20.96% | 20.17% | 19.22% | 21.59% | 19.96% | 19.16% | 20.73% | 19.79% | 18.56% | 21.14% | | uy734 | 803.96% | 774.71% | 822.22% | 16.91% | 14.73% | 17.99% | 15.61% | 14.92% | 16.12% | 16.40% | 13.64% | 17.69% | 16.27% | 14.97% | 17.41% | 15.51% | 14.73% | 16.24% | | pbm436 | 447.86% | 444.54% | 450.02% | 11.22% | 9.77% | 12.46% | 10.66% | 8.03% | 12.20% | 10.82% | 9.42% | 13.47% | 10.86% | 8.87% | 12.48% | 10.46% | 8.65% | 11.48% | | dka1376 | 1569.52% | 1546.66% | 1579.51% | 18.32% | 17.41% | 18.96% | 18.77% | 17.28% | 20.14% | 19.67% | 18.30% | 20.38% | 18.83% | 18.05% | 19.59% | 18.56% | 17.56% | 19.36% | | zi929 | 945.79% | 919.41% | 971.55% | 16.96% | 15.92% | 17.58% | 13.76% | 13.15% | 14.64% | 16.63% | 14.98% | 18.43% | 13.70% | 12.85% | 14.65% | 13.53% | 12.13% | 15.12% | | lu980 | 1228.25% | 1218.35% | 1249.95% | 18.60% | 17.54% | 19.69% | 17.91% | 14.52% | 19.70% | 18.02% | 15.59% | 19.58% | 18.48% | 16.96% | 19.70% | 18.75% | 17.40% | 20.87% | | dca1389 | 1671.61% | 1660.84% | 1684.23% | 17.87% | 17.26% | 18.32% | 17.66% | 16.77% | 18.62% | 18.00% | 16.73% | 18.93% | 17.84% | 16.78% | 18.93% | 17.86% | 16.77% | 19.61% |
| | Average Error= | 869.94% | 852.93% | 885.47% | 15.81% | 14.51% | 16.98% | 14.17% | 12.62% | 15.32% | 15.80% | 14.09% | 17.32% | 14.52% | 13.04% | 15.94% | 14.34% | 12.88% | 15.68% |
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