Three-stage heuristic algorithm for three-dimensional irregular packing problem |
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Institution: | 1. Department of Computer Science, Xiamen University, Xiamen 361005, China;2. Department of Management Sciences, City University of Hong Kong, Hong Kong;3. Department of Computer and Information Science, University of Macau, Macau |
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Abstract: | This paper studies a new practical problem which can be decomposed into three three-dimensional packing problems: three-dimensional irregular packing with variable-size cartons problem, three-dimensional variable-size bin packing problem, and the single container loading problem. Since the three sub-problems are NP-hard, searching a good solution becomes more difficult. In this paper, mathematical models of each sub-problem are developed and three-stage heuristic algorithms are proposed to solve this new problem. Experiments are conducted with random instances generated by real-life case. Computational results indicate that the proposed algorithm is efficient and can yield satisfactory results. |
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