Research Article
A Biogeography-Based Optimization Algorithm Hybridized with Tabu Search for the Quadratic Assignment Problem
Table 3
Comparative results between classical BBO and BBOTS algorithms for QAP.
| Instance | Best known solution | BBO | BBOTS | Best solution | | | Best solution | | |
| chr12a | 9552 | 9988 | 33.654 | 0 | 9552 | 0.000 | 10 | chr12b | 9742 | 9942 | 28.337 | 0 | 9742 | 0.000 | 10 | chr12c | 11156 | 12336 | 32.854 | 0 | 11156 | 0.000 | 10 | chr15a | 9896 | 14496 | 97.409 | 0 | 9896 | 0.000 | 10 | chr15b | 7990 | 15298 | 136.683 | 0 | 7990 | 0.298 | 9 | chr15c | 9504 | 18392 | 112.822 | 0 | 9504 | 0.000 | 10 | chr18a | 11098 | 29870 | 190.483 | 0 | 11098 | 0.079 | 8 | chr18b | 1534 | 2170 | 51.356 | 0 | 1534 | 0.000 | 10 | els19 | 17212548 | 21315378 | 34.293 | 0 | 17212548 | 0.000 | 10 | esc16a | 68 | 70 | 8.235 | 0 | 68 | 0.000 | 10 | esc16b | 292 | 292 | 0.000 | 10 | 292 | 0.000 | 10 | esc16c | 160 | 164 | 5.875 | 0 | 160 | 0.000 | 10 | esc16d | 16 | 18 | 22.500 | 0 | 16 | 0.000 | 10 | had12 | 1652 | 1662 | 1.877 | 0 | 1652 | 0.000 | 10 | had14 | 2724 | 2762 | 2.349 | 0 | 2724 | 0.000 | 10 | had16 | 3720 | 3820 | 3.468 | 0 | 3720 | 0.000 | 10 | had18 | 5358 | 5500 | 3.763 | 0 | 5358 | 0.000 | 10 | had20 | 6922 | 7156 | 4.143 | 0 | 6922 | 0.000 | 10 | nug12 | 578 | 590 | 6.574 | 0 | 578 | 0.000 | 10 | nug14 | 1014 | 1086 | 9.310 | 0 | 1014 | 0.000 | 10 | nug15 | 1150 | 1250 | 11.078 | 0 | 1150 | 0.000 | 10 | nug16a | 1610 | 1762 | 11.503 | 0 | 1610 | 0.000 | 10 | nug16b | 1240 | 1374 | 12.694 | 0 | 1240 | 0.000 | 10 | nug17 | 1732 | 1914 | 12.125 | 0 | 1732 | 0.012 | 9 | nug18 | 1930 | 2130 | 12.114 | 0 | 1930 | 0.000 | 10 | nug20 | 2570 | 2868 | 13.416 | 0 | 2570 | 0.000 | 10 | rou12 | 235528 | 247850 | 7.057 | 0 | 235528 | 0.000 | 10 | rou15 | 354210 | 389802 | 12.105 | 0 | 354210 | 0.000 | 10 | rou20 | 725522 | 810284 | 12.490 | 0 | 725522 | 0.062 | 4 | scr12 | 31410 | 31410 | 8.243 | 1 | 31410 | 0.000 | 10 | scr15 | 51140 | 58958 | 22.004 | 0 | 51140 | 0.000 | 10 | scr20 | 110030 | 146230 | 37.559 | 0 | 110030 | 0.000 | 10 | tai10a | 135028 | 137362 | 2.974 | 0 | 135028 | 0.000 | 10 | tai12a | 224416 | 230704 | 8.210 | 0 | 224416 | 0.000 | 10 | tai15a | 388214 | 404108 | 8.843 | 0 | 388214 | 0.000 | 10 | tai17a | 491812 | 540308 | 11.651 | 0 | 491812 | 0.093 | 8 | tai20a | 703482 | 789348 | 13.658 | 0 | 705622 | 0.677 | 0 |
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