Research Article

A Hybrid Soft Computing Approach for Subset Problems

Table 6

Experimental results of SPP benchmarks using ACS and ACS + CP.
(a) ACS experimental results

Problem ACS RPD RPI MIC Secs

sppaa01 94720 67.93 98.26 0.16 600.8
sppaa02 57632 88.99 97.72 0.36 270.4
sppaa03 93304 87.93 97.75 0.13 780.5
sppaa05 91134 63.21 98.38 0.14 712.3
sppaa06 54964 103.27 97.35 0.38 254.9
sppnw06 9788 25.33 99.35 1.26 78.7
sppnw08 n.f. n.f. n.f. n.f. n.f.
sppnw09 n.f. n.f. n.f. n.f. n.f.
sppnw10 n.f. n.f. n.f. n.f. n.f.
sppnw12 16060 13.76 99.65 8.1 12.3
sppnw15 67746 0 100 17.54 5.7
sppnw18365398 7.42 99.81 0.83 120.7
sppnw19 12350 13.32 99.66 1.35 73.7
sppnw23 14604 16.52 99.58 17.47 5.7
sppnw26 6956 2.35 99.94 12.81 7.8
sppnw32 14886 0.06 100 8.06 12.4
sppnw34 11289 7.64 99.8 14.68 6.8
sppnw39 10758 6.73 99.83 19.2 5.2
sppnw41 11307 0 100 16.67 6

avg 31.53 99.2 7.45

(b) ACS + CP experimental results

Problem ACS + CP RPD RPI MIC Secs

sppaa01 88435 50.41 98.71 0.14 707.1
sppaa02 52211 71.22 98.17 0.32 309.4
sppaa03 81177 63.5 98.37 0.16 600.5
sppaa05 84362 51.08 98.69 0.17 590.7
sppaa06 48703 80.11 97.95 0.33 300.9
sppnw06 8038 2.92 99.93 3.3 30.3
sppnw08 36682 2.2 99.94 0.32 309.7
sppnw09 69332 2.32 99.94 2.45 40.8
sppnw10 n.f. n.f. n.f. n.f. n.f.
sppnw12 14252 0.95 99.98 9.34 10.7
sppnw15 67743 0 100 16.13 6.2
sppnw18 345130 1.46 99.96 1.47 67.8
sppnw19 11858 8.81 99.77 1.42 70.1
sppnw23 12880 2.76 99.93 16.66 6
sppnw26 6880 1.24 99.97 15.87 6.3
sppnw32 14877 0 100 9.8 10.2
sppnw34 10797 2.95 99.92 17.53 5.7
sppnw39 10545 4.61 99.88 15.85 6.3
sppnw41 11307 0 100 19.23 5.2

avg 19.25 99.5 7.25