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An Exact Method for the 2D Guillotine Strip Packing Problem

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  • Abdelghani Bekrar
  • Imed Kacem

Abstract

We consider the two-dimensional strip packing problem with guillotine cuts. The problem consists in packing a set of rectangular items on one strip of width and infinite height. The items packed without overlapping must be extracted by a series of cuts that go from one edge to the opposite edge (guillotine constraint). To solve this problem, we use a dichotomic algorithm that uses a lower bound, an upper bound, and a feasibility test algorithm. The lower bound is based on solving a linear program by introducing new valid inequalities. A new heuristic is used to compute the upper bound. Computational results show that the dichotomic algorithm, using the new bounds, gives good results compared to existing methods.

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  • Abdelghani Bekrar & Imed Kacem, 2009. "An Exact Method for the 2D Guillotine Strip Packing Problem," Advances in Operations Research, Hindawi, vol. 2009, pages 1-20, July.
    • Handle: RePEc:hin:jnlaor:732010
    DOI: 10.1155/2009/732010
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    Cited by:

    1. Bayliss, Christopher & Currie, Christine S.M. & Bennell, Julia A. & Martinez-Sykora, Antonio, 2021. "Queue-constrained packing: A vehicle ferry case study," European Journal of Operational Research, Elsevier, vol. 289(2), pages 727-741.

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