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.

InstanceCharacteristicsCPLEXGRASPEA/GDLSWCC
VarCnstDensity (%)M_oneWeightOptBestBestAvrgATETBestAvrgATETHit

pb2000rand12000100002.54100[1-20]40Yes4040.0031.664040.002115.6416
pb2000rand22000100002.55100[1-1]2Yes22.0010.3822.002126.5616
pb2000rand32000100000.5520[1-20]478No478463.75129.86478477.06238.6111
pb2000rand42000100000.5520[1-1]32Yes3230.2581.583231.88278.0916
pb2000rand5200020002.55100[1-20]140Yes140135.5061.03140140.001419.6016
pb2000rand6200020002.56100[1-1]9Yes98.5034.2399.001395.7616
pb2000rand7200020000.5620[1-20]1784No17841765.94160.1418111810.8828.1315
pb2000rand8200020000.5620[1-1]131No131130.3873.84135134.1323.192
Avrg327.00327.00322.0472.84330.88330.62953.2013.50