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 | 16.1 | 13.8 | 4.56 | 4.7 | 430 | 462 | 469 | 467.4 | 8.7 | 7.4 | 4.24 | 4.8 | 492 | 546 | 571 | 566.9 | 15.2 | 11.0 | 4.99 | 4.9 | 641 | 711 | 741 | 725.0 | 13.1 | 10.9 | 4.64 | 4.10 | 514 | 537 | 556 | 552.1 | 7.4 | 4.5 | 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 | 10.8 | 9.3 | 5.89 | 5.4 | 242 | 251 | 254 | 253.2 | 4.6 | 3.7 | 5.28 | 5.5 | 211 | 230 | 231 | 230.4 | 9.2 | 9.0 | 4.90 | 5.6 | 213 | 232 | 244 | 242.7 | 13.9 | 8.9 | 5.24 | 5.7 | 293 | 332 | 343 | 338.0 | 15.4 | 13.3 | 5.66 | 5.8 | 288 | 320 | 331 | 329.9 | 14.5 | 11.1 | 5.82 | 5.9 | 279 | 295 | 299 | 298.6 | 7.0 | 5.7 | 6.10 | 5.10 | 265 | 285 | 288 | 286.9 | 8.3 | 7.5 | 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 | 14.5 | 14.5 | 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 | 14.4 | 14.0 | 20.38 | C.4 | 219 | 250 | 250 | 250 | 13.2 | 12.3 | 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 |
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