Table 2.
Results of the proposed RZOA for TSP samples.
| Problem | Optimal | Best | Average | SD | PDB (%) | PDA (%) |
|---|---|---|---|---|---|---|
| oliver-30 | 420 | 420 | 421 | 1.33 | 0.00 | 0.24 |
| att-48 | 33,522 | 33,522 | 33,627 | 47.77 | 0.00 | 0.31 |
| rand-50 | 5553 | 5553 | 5566 | 6.81 | 0.00 | 0.23 |
| eil-51 | 426 | 426 | 427 | 0.83 | 0.00 | 0.23 |
| berlin-52 | 7542 | 7542 | 7566 | 10.70 | 0.00 | 0.32 |
| st-70 | 675 | 675 | 677 | 1.43 | 0.00 | 0.30 |
| pr-76 | 108,159 | 108,159 | 108,474 | 85.20 | 0.00 | 0.29 |
| eil-76 | 538 | 538 | 539 | 0.70 | 0.00 | 0.19 |
| rat-99 | 1211 | 1212 | 1214 | 1.33 | 0.08 | 0.25 |
| kro-A100 | 21,282 | 21,297 | 21,393 | 45.20 | 0.07 | 0.52 |
| kro-B100 | 22,141 | 22,158 | 22,269 | 79.30 | 0.08 | 0.58 |
| kro-C100 | 20,749 | 20,770 | 20,838 | 42.50 | 0.10 | 0.43 |
| kro-D100 | 21,294 | 21,325 | 21,405 | 43.10 | 0.15 | 0.52 |
| kro-E100 | 22,068 | 22,079 | 22,151 | 49.10 | 0.05 | 0.38 |
| rd-100 | 7910 | 7921 | 7948 | 42.90 | 0.14 | 0.48 |
| eil-101 | 629 | 630 | 632 | 1.63 | 0.16 | 0.48 |
| lin-105 | 14,379 | 14,393 | 14,453 | 18.87 | 0.10 | 0.51 |
| pr-107 | 44,303 | 44,329 | 44,452 | 42.62 | 0.06 | 0.34 |
| pr-124 | 59,030 | 59,110 | 59,297 | 57.32 | 0.14 | 0.45 |
| bier-127 | 118,282 | 118,420 | 119,893 | 525.61 | 0.12 | 1.36 |
| ch-130 | 6110 | 6168 | 6250 | 51.89 | 0.95 | 2.29 |
| pr-136 | 96,772 | 96,890 | 97,899 | 459.08 | 0.12 | 1.16 |
| pr-144 | 58,537 | 58,621 | 59,057 | 236.48 | 0.14 | 0.89 |
| ch-150 | 6528 | 6547 | 6595 | 26.31 | 0.29 | 1.03 |
| d-198 | 15,780 | 15,820 | 15,930 | 58.20 | 0.25 | 0.95 |
| kro-A200 | 29,368 | 29,520 | 29,819 | 138.65 | 0.52 | 1.54 |
| kro-B200 | 29,437 | 29,539 | 29,920 | 48.94 | 0.35 | 1.64 |
| tsp-225 | 3916 | 3978 | 4001 | 15.60 | 1.58 | 2.17 |
| pr-226 | 80,369 | 80,638 | 81,540 | 346.96 | 0.33 | 1.46 |
| pr-264 | 49,135 | 49,455 | 49,855 | 144.92 | 0.65 | 1.47 |
| a-280 | 2579 | 2600 | 2631 | 43.72 | 0.81 | 2.02 |
| pr-299 | 48,191 | 48,358 | 48,923 | 195.12 | 0.35 | 1.52 |
| lin-318 | 42,029 | 42,456 | 43,661 | 572.97 | 1.02 | 3.88 |
| rd-400 | 15,281 | 15,320 | 15,602 | 89.35 | 0.26 | 2.10 |
| fl-417 | 11,861 | 12,020 | 12,154 | 103.54 | 1.34 | 2.47 |
| pr-439 | 107,217 | 107,985 | 109,937 | 1010.35 | 0.72 | 2.54 |
| pcb-442 | 50,778 | 51,238 | 51,998 | 415.55 | 0.91 | 2.40 |
| rat-575 | 6773 | 6820 | 6934 | 58.43 | 0.69 | 2.38 |
| rat-783 | 8806 | 8908 | 9143 | 169.09 | 1.16 | 3.83 |
| pr-1002 | 259,047 | 262,358 | 273,645 | 16985.31 | 1.28 | 5.64 |
| fl-1400 | 20,127 | 20,335 | 21,221 | 312.40 | 1.03 | 5.44 |
| pr-2392 | 378,032 | 381,251 | 394,033 | 3982.01 | 0.85 | 4.23 |