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. 2023 Oct 9;9:e1613. doi: 10.7717/peerj-cs.1613

Table 4. Results of the three methods for solving the strongly heterogeneous packing problem.

Examples Item Tsai & Li (2006) Tsai, Wang & Lin (2015) Proposed method
Problem01 CPU time (s) 1,758 245 0.44
No. of total 0–1 variables 765 75 43
No. of total constraints 5,376 129 68
Solution (L, W, H) (28, 26, 6) (28, 26, 6) (28, 26, 6)
Objective value: (L, W, H) 4,368 4,368 4,368
Problem02 CPU time (s) 13,123 520 2.35
No. of total 0–1 variables 840 96 60
No. of total constraints 5,491 166 100
Solution (L, W, H) (30, 28, 6) (30, 28, 6) (30, 28, 6)
Objective value: (L, W, H) 5,040 5,040 5,040
Problem03 CPU time (s) 84,588 20,641 7.57
No. of total 0–1 variables 864 120 81
No. of total constraints 5,535 210 144
Solution (L, W, H) (35, 28, 6) (35, 28, 6) (35, 28, 6)
Objective value: LWH 5,880 5,880 5,880
Problem04 CPU time (s) >86,400 46,578 20.69
No. of total 0–1 variables 891 147 105
No. of total constraints 5,586 261 196
Solution (L, W, H) (40, 22, 14) (40, 22, 14)
Objective value: (L, W, H) 12,320 12,320