Research Article
Solving the Set Packing Problem via a Maximum Weighted Independent Set Heuristic
Table 3
Comparison of each algorithm on instances with 2000 variables.
| Instance | Characteristics | CPLEX | GRASP | EA/G | DLSWCC | Var | Cnst | Density (%) | M_one | Weight | Opt | Best | Best | Avrg | ATET | Best | Avrg | ATET | Hit |
| pb2000rand1 | 2000 | 10000 | 2.54 | 100 | [1-20] | 40 | Yes | 40 | 40.00 | 31.66 | 40 | 40.00 | 2115.64 | 16 | pb2000rand2 | 2000 | 10000 | 2.55 | 100 | [1-1] | 2 | Yes | 2 | 2.00 | 10.38 | 2 | 2.00 | 2126.56 | 16 | pb2000rand3 | 2000 | 10000 | 0.55 | 20 | [1-20] | 478 | No | 478 | 463.75 | 129.86 | 478 | 477.06 | 238.61 | 11 | pb2000rand4 | 2000 | 10000 | 0.55 | 20 | [1-1] | 32 | Yes | 32 | 30.25 | 81.58 | 32 | 31.88 | 278.09 | 16 | pb2000rand5 | 2000 | 2000 | 2.55 | 100 | [1-20] | 140 | Yes | 140 | 135.50 | 61.03 | 140 | 140.00 | 1419.60 | 16 | pb2000rand6 | 2000 | 2000 | 2.56 | 100 | [1-1] | 9 | Yes | 9 | 8.50 | 34.23 | 9 | 9.00 | 1395.76 | 16 | pb2000rand7 | 2000 | 2000 | 0.56 | 20 | [1-20] | 1784 | No | 1784 | 1765.94 | 160.14 | 1811 | 1810.88 | 28.13 | 15 | pb2000rand8 | 2000 | 2000 | 0.56 | 20 | [1-1] | 131 | No | 131 | 130.38 | 73.84 | 135 | 134.13 | 23.19 | 2 | Avrg | | | | | | 327.00 | | 327.00 | 322.04 | 72.84 | 330.88 | 330.62 | 953.20 | 13.50 |
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