Research Article

Reducing the Size of Combinatorial Optimization Problems Using the Operator Vaccine by Fuzzy Selector with Adaptive Heuristics

Table 2

Experimental results for 10 TSP instances from TSPLIB treated with Vaccination by Fuzzy Selector with adaptive heuristics (VFSah). Significant degree of problem reduction is achieved, and a high percentage of optimal is reached with the proposed methodology.

TSP instanceSizeMesh sizeReductionsOptimal reductions% of optimal reductionsReduced TSP size% of reduction

pma343 343 686 199 169 84.92% 244 28.86%
pbk411 411 822 284 220 77.46% 269 34.55%
pbm436 436 872 306 343 77.45% 283 35.09%
xql662 664 1324 518 390 75.29% 405 39.01%
rbu737 737 1474 375 325 86.67% 550 25.37%
lim963 963 1926 638 544 85.27% 644 33.13%
dka1376 1376 2752 911 735 80.68% 921 33.07%
rby1599 1599 3198 1321 961 72.75% 939 41.28%
dcb2086 2086 4172 1852 1331 71.87% 1160 44.39%
pia3056 3056 6112 2453 1796 73.22% 1830 40.12%