Aggregated state dynamic programming for a multiobjective two-dimensional bin packing problem

This paper studies a real-life multi-objective two-dimensional single-bin-size bin-packing problem arising in industry. A packing pattern is defined by one bin, a set of items packed into the bin and the packing positions of these items. A number of bins can be placed with the same packing pattern....

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Vydáno v:International journal of production research Ročník 50; číslo 15; s. 4316 - 4325
Hlavní autoři: Liu, Ya, Chu, Chengbin, Yu, Yugang
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Taylor & Francis Group 01.08.2012
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ISSN:0020-7543, 1366-588X
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Shrnutí:This paper studies a real-life multi-objective two-dimensional single-bin-size bin-packing problem arising in industry. A packing pattern is defined by one bin, a set of items packed into the bin and the packing positions of these items. A number of bins can be placed with the same packing pattern. The objective is not only to minimise the number of bins used, as in traditional bin-packing problems, but also to minimise the number of packing patterns. Based on our previous study of a heuristic stemming from dynamic programming by aggregating states to avoid the exponential increase in the number of states, we further develop this heuristic by decomposing a pattern with a number of bins at each step. Computational results show that this heuristic provides satisfactory results with a gap generally less than 20% with respect to the optimum.
Bibliografie:SourceType-Scholarly Journals-1
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ISSN:0020-7543
1366-588X
DOI:10.1080/00207543.2011.622309