Research Article
Discrete Bird Swarm Algorithm Based on Information Entropy Matrix for Traveling Salesman Problem
Table 5
Comparison between DBSA algorithm and ACE [
1] algorithm.
| No. | Instance | Opt | ACE | DBSA | Best | Worst | Avg | PB | PA | Best | Worst | Avg | PB | PA |
| 1 | Ry48 | 14422 | 14422 | 14883 | 14495.8 | 0.00 | 0.51 | 14422 | 14673 | 14521.65 | 0.00 | 0.69 | 2 | Eil51 | 426 | 426 | 432 | 426.818 | 0.00 | 0.19 | 426 | 427 | 426.4 | 0.00 | 0.09 | 3 | Berlin52 | 7542 | 7542 | 7715 | 7543.04 | 0.00 | 0.01 | 7542 | 7542 | 7542 | 0.00 | 0.00 | 4 | Ftv70 | 1950 | 1950 | 2060 | 1968.16 | 0.00 | 0.93 | 1950 | 2013 | 1957.45 | 0.00 | 0.38 | 5 | St70 | 675 | 675 | 691 | 676.418 | 0.00 | 0.21 | 675 | 684 | 678.9 | 0.00 | 0.58 | 6 | Eil76 | 538 | 538 | 546 | 538.311 | 0.00 | 0.06 | 538 | 538 | 538 | 0.00 | 0.00 | 7 | Pr76 | 108159 | 108159 | 109085 | 108251 | 0.00 | 0.09 | 108159 | 109186 | 108210.4 | 0.00 | 0.05 | 8 | Rat99 | 1211 | 1211 | 1246 | 1213.29 | 0.00 | 0.19 | 1211 | 1212 | 1211.7 | 0.00 | 0.06 | 9 | Kroa100 | 21282 | 21282 | 21600 | 21298.6 | 0.00 | 0.08 | 21282 | 21305 | 21285.45 | 0.00 | 0.02 | 10 | Eil101 | 629 | 629 | 644 | 633.619 | 0.00 | 0.73 | 629 | 631 | 629.35 | 0.00 | 0.06 | 11 | Lin105 | 14379 | 14379 | 14514 | 14385.5 | 0.00 | 0.05 | 14379 | 14401 | 14384.5 | 0.00 | 0.04 | 12 | Kro124p | 36230 | 36230 | 37777 | 36460.8 | 0.00 | 0.64 | 36230 | 36459 | 36256.9 | 0.00 | 0.07 | 13 | Ch130 | 6110 | 6110 | 6259 | 6153.96 | 0.00 | 0.72 | 6110 | 6160 | 6127.9 | 0.00 | 0.29 | 14 | Ch150 | 6528 | 6528 | 6670 | 6550 | 0.00 | 0.34 | 6549 | 6564 | 6555.7 | 0.32 | 0.42 | 15 | Pr152 | 73682 | 73682 | 74802 | 73766.8 | 0.00 | 0.12 | 73682 | 74287 | 73885.2 | 0.00 | 0.28 | 16 | U159 | 42080 | 42080 | 43816 | 42199.8 | 0.00 | 0.28 | 42080 | 42704 | 42377.45 | 0.00 | 0.71 | 17 | Ftv170 | 2755 | 2755 | 3007 | 2824.08 | 0.00 | 2.51 | 2755 | 2787 | 2768.75 | 0.00 | 0.50 | 18 | D198 | 15780 | 15780 | 15899 | 15813.3 | 0.00 | 0.21 | 15780 | 15818 | 15798.8 | 0.00 | 0.12 | 19 | Gil262 | 2378 | 2378 | 2413 | 2390.06 | 0.00 | 0.51 | 2378 | 2390 | 2382.6 | 0.00 | 0.19 | 20 | D493 | 35002 | 35123 | 35770 | 35449.3 | 0.35 | 1.28 | 35106 | 35332 | 35200.45 | 0.3 | 0.57 | 21 | Rat783 | 8806 | 8868 | 9010 | 8936.7 | 0.70 | 1.48 | 8836 | 8882 | 8855.2 | 0.34 | 0.56 | 22 | Fl1400 | 20127 | 20328 | 21067 | 20491.7 | 1.00 | 1.81 | 20205 | 20379 | 20273.65 | 0.39 | 0.73 |
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