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 |