Research Article

Geometric Generalisation of Surrogate Model-Based Optimisation to Combinatorial and Program Spaces

Table 2

Results for random search (RS), a genetic algorithm (GA), , and on QAP instances (kra30a, kra32, lipa30a, nug30, ste36a, and tho30) and unimodal instances (unih30 and unis30) of permutation problems.

Instance RS GA
Best Average SD Best Average SD Best Average SD Best Average SD

kra30a 118730 122777.00 2034.86 115840 123445.80 2642.21 110850119649.60 3389.70 117270 122027.00 2205.65
kra32 24156 25008.04 434.75 23440 24625.03 586.60 2259024094.32 616.71 23848 24833.92 452.22
lipa30a 13664 13710.08 16.38 13646 13704.42 22.53 13633 13700.52 21.89 13638 13696.32 22.03
nug30 7350 7618.00 84.60 7296 7558.36 126.65 72767500.24 97.36 7328 7563.88 94.38
ste36a 16736 18335.56 602.04 16516 18287.96 841.59 1536417311.00 922.20 15654 17840.68 889.74
tho30 190256 196662.82 3211.20 180274 194389.91 4414.22 180860 193415.44 4629.03 186172 195231.92 3534.21
unih30 24 25.80 0.78 22 25.04 1.26 1720.84 1.55 21 25.18 0.95
unis30 19 21.66 0.87 17 20.91 1.29 1518.48 1.83 19 21.04 0.94

The best, average, and standard deviation of the best fitness found by each algorithm are reported for 50 runs.