Research Article

A Binary Cat Swarm Optimization Algorithm for the Non-Unicost Set Covering Problem

Table 3

Computational results on 65 instances of SCP: part 1.

Instance Time (s)

4.1 429 459 485 479.6 11.8 7.0 4.77
4.2 512 570 599 594.2 16.1 11.3 4.08
4.3 516 590 614 606.8 17.6 14.3 4.36
4.4 494 547 585 578.3 17.1 10.7 4.62
4.5 512 545 558 554.2 8.2 6.4 4.69
4.6 560 637 655 649.9 16.113.8 4.56
4.7 430 462 469 467.4 8.77.4 4.24
4.8 492 546 571 566.9 15.211.0 4.99
4.9 641 711 741 725.0 13.110.9 4.64
4.10 514 537 556 552.1 7.44.5 4.55

5.1 253 279 283 281.6 11.3 10.3 5.95
5.2 302 339 340 339.9 12.5 12.3 5.36
5.3 226 247 252 250.5 10.89.3 5.89
5.4 242 251 254 253.2 4.6 3.7 5.28
5.5 211 230 231 230.4 9.29.0 4.90
5.6 213 232 244 242.7 13.98.9 5.24
5.7 293 332 343 338.0 15.413.3 5.66
5.8 288 320 331 329.9 14.511.1 5.82
5.9 279 295 299 298.6 7.05.7 6.10
5.10 265 285 288 286.9 8.37.5 5.62

6.1 138 151 166 159.9 15.9 9.4 5.83
6.2 146 152 160 157.4 7.8 4.1 5.73
6.3 145 160 166 164.3 13.3 10.3 8.05
6.4 131 138 143 141.7 8.2 5.3 7.60
6.5 161 169 176 172.8 7.3 5.0 7.61

A.1 253 286 287 286.9 13.4 13.0 8.62
A.2 252 274 280 276.3 9.6 8.7 13.42
A.3 232 257 264 263.1 13.4 10.8 12.27
A.4 234 248 252 251.3 7.2 6.0 11.72
A.5 236 244 244 244 3.3 3.0 12.42

B.1 69 79 79 79 14.514.5 26.36
B.2 76 86 90 88.5 16.2 13.2 25.91
B.3 80 85 87 85.4 6.5 6.3 24.46
B.4 79 89 89 89 12.7 12.7 27.77
B.5 72 73 73 73 1.5 1.4 24.65

C.1 227 242 243 242.4 6.7 6.6 19.15
C.2 219 240 244 240.8 9.9 9.6 20.83
C.3 243 277 279 278 14.414.0 20.38
C.4 219 250 250 250 13.212.3 20.16
C.5 215 243 247 244.3 13.6 13.0 19.47

D.1 60 65 66 65.7 9.5 8.3 52.53
D.2 66 70 71 70.1 6.2 6.1 51.36
D.3 72 79 81 80.8 12.2 9.7 49.89
D.4 62 64 67 66.6 7.4 3.2 46.48
D.5 61 65 66 65.6 7.5 6.6 46.61