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.

InstanceBest known solutionBBO 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