Research Article
Solving the Traveling Salesman’s Problem Using the African Buffalo Optimization
Table 4
Comparative optimal results.
| TSP instance | Optima | ABO | PSO | ACO | HPSACO | Best | Avg | Err. % | Best | Avg | Err. % | Best | Avg | Err. % | Best | Avg | Err. % |
| att48 | 33522 | 33524 | 33579 | 0.16 | 33734 | 33982 | 0.63 | 33649 | 33731 | 0.62 | 33524 | 33667 | 0.16 | st70 | 675 | 676 | 678.33 | 0.15 | 691.2 | 702.6 | 2.40 | 685.7 | 694.7 | 1.59 | 680.3 | 698.6 | 0.79 | eil76 | 538 | 538 | 563.04 | 0.00 | 572.3 | 589.1 | 6.38 | 550.7 | 560.4 | 2.36 | 546.2 | 558.1 | 1.52 | pr152 | 73682 | 73730 | 73990 | 0.07 | 75361 | 75405 | 2.28 | 74689 | 74936 | 1.37 | 74165 | 74654 | 0.66 | gil262 | 2378 | 2378 | 2386 | 0.00 | 2513 | 2486 | 5.68 | 2463 | 2495 | 3.57 | 2413 | 2468 | 1.47 | rd400 | 15281 | 15301 | 15304 | 5.00 | 16964 | 17024 | 11.01 | 16581 | 16834 | 8.51 | 16067 | 16513 | 5.14 | pr1002 | 259045 | 259132 | 261608 | 0.03 | 278923 | 279755 | 7.67 | 269758 | 271043 | 4.14 | 267998 | 269789 | 3.46 | d1291 | 50801 | 50839 | 50839 | 0.07 | 53912 | 54104 | 6.12 | 52942 | 53249 | 4.21 | 52868 | 52951 | 4.07 | fnl4461 | 182566 | 182745 | 183174 | 0.10 | 199314 | 199492 | 9.17 | 192964 | 194015 | 5.70 | 191352 | 192585 | 4.81 | brd14051 | 469385 | 469835 | 479085 | 0.10 | 518631 | 519305 | 10.49 | 505734 | 511638 | 7.74 | 498471 | 503594 | 6.20 |
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