Research Article

A Genetic Algorithm with Lower Neighborhood Search for the Three-Dimensional Multiorder Open-Size Rectangular Packing Problem

Table 11

Case results for larger-scale order sizes (comparison with GA).

NumberNumber of ordersGALNSGA
Solution Objective value: CPU time (s)Solution Objective value: CPU time (s)

12(84, 22, 10)18480566.97(89, 20, 10)17800228.92
22(31, 21, 10)6510479.96(30, 20, 10)6000202.35
32(30, 20, 10)6000577.57(30, 20, 10)6000244.26
44(50, 20, 10)10000684.31(56, 20, 10)11200293.26
54(31, 20, 10)6200679.49(30, 20, 10)6000293.41
64(30, 20, 10)6000571.58(30, 20, 10)6000254.57
76(25, 30, 10)7500657.76(30, 20, 10)6000257.23
86(49, 20, 10)9800834.24(55, 20, 10)11000320.07
96(34, 23, 10)78201012.27(37, 20, 10)7400376.72
108(88, 20, 10)17600937.61(88, 20, 10)17600386.37
118(78, 20, 10)15600703.22(78, 20, 10)15600316.59
128(45, 23, 10)10350903.98(53, 20, 10)10600356.51
Average—10155717.41—10100294.19