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A block-based layer building approach for the 2D guillotine strip packing problem

Lijun Wei, Tian Tian, Wenbin Zhu and Andrew Lim

European Journal of Operational Research, 2014, vol. 239, issue 1, 58-69

Abstract: We examine the 2D strip packing problems with guillotine-cut constraint, where the objective is to pack all rectangles into a strip with fixed width and minimize the total height of the strip. We combine three most successful ideas for the orthogonal rectangular packing problems into a single coherent algorithm: (1) packing a block of rectangles instead of a single rectangle in each step; (2) dividing the strip into layers and pack layer by layer; and (3) unrolling and repacking the top portion of the solutions where usually wasted space occurs. Computational experiments on benchmark test sets suggest that our approach rivals existing approaches.

Keywords: Cutting; Packing; Guillotine-cut; Best-fit heuristic; Layer-building (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:239:y:2014:i:1:p:58-69

DOI: 10.1016/j.ejor.2014.04.020

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European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

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