Research Article
A 3D Offline Packing Algorithm considering Cargo Orientation and Stability
Table 7
The space utilization of each box in the packing scheme obtained by the 4 algorithms.
| Type of data | Algorithm | The space utilization of each box (%) | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| BR8-1 | Proposed algorithm | 84.6 | 82.3 | 80.4 | 78.6 | 79.8 | 78.8 | 9.5 | | Genetic algorithm | 62.3 | 63.2 | 59.3 | 57.6 | 58.1 | 66.1 | 65.6 | 60.8 | Genetic simulated annealing algorithm | 72.8 | 68.7 | 71.2 | 71.6 | 70.9 | 68.5 | 69.3 | | Hierarchical heuristics algorithm | 69.7 | 65.1 | 68.4 | 64.6 | 64.1 | 65.3 | 63.5 | 32.3 |
| BR9-1 | Proposed algorithm | 85.7 | 82.1 | 80.8 | 80.2 | 78.6 | 77.4 | 15.1 | | Genetic algorithm | 66.4 | 64.9 | 62.2 | 63.9 | 58.7 | 62.8 | 61.8 | 58.3 | Genetic simulated annealing algorithm | 65.6 | 63.4 | 58.6 | 64.2 | 59.1 | 64.1 | 61.7 | 62.3 | Hierarchical heuristics algorithm | 70.3 | 67.9 | 62.1 | 65.2 | 65.3 | 68.7 | 62.2 | 37.3 |
| BR10-1 | Proposed algorithm | 83.2 | 80.6 | 78.8 | 73.5 | 72.9 | 70.5 | 39.2 | | Genetic algorithm | 70.9 | 63.7 | 59.7 | 62.3 | 58.1 | 57.6 | 60.4 | 66.0 | Genetic simulated annealing algorithm | 64.5 | 68.9 | 57.6 | 59.8 | 62.9 | 57.9 | 63.9 | 63.2 | Hierarchical heuristics algorithm | 72.6 | 69.9 | 68.4 | 63.1 | 62.8 | 60.7 | 60.5 | 40.7 |
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