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An improved heuristic and an exact algorithm for the 2D strip and bin packing problem

Author

Listed:
  • Abdelghani Bekrar
  • Imed Kacem
  • Chengbin Chu
  • Cherif Sadfi

Abstract

In this paper, we consider a two-dimensional (2D) packing problem. It consists of packing a given set of rectangular items either into a strip with a fixed width and infinite height or into identical bins. This problem has industrial applications such as cutting glass and Very-Large-Scale Integration (VLSI) design. The guillotine constraint is imposed in this paper. For this problem, we propose some strategies to improve the Shelf Heuristic Filling (SHF) introduced by Ben Messaoud et al. (2003). In a second part, we present a branch-and-bound algorithm for the 2D Strip Packing (2SP) problem that uses a new lower bound and the improved heuristic. All our algorithms are tested on generated and literature-based instances and give good results compared to the existing algorithms.

Suggested Citation

  • Abdelghani Bekrar & Imed Kacem & Chengbin Chu & Cherif Sadfi, 2010. "An improved heuristic and an exact algorithm for the 2D strip and bin packing problem," International Journal of Product Development, Inderscience Enterprises Ltd, vol. 10(1/2/3), pages 217-240.
    • Handle: RePEc:ids:ijpdev:v:10:y:2010:i:1/2/3:p:217-240
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    Citations

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    Cited by:

    1. François Clautiaux & Antoine Jouglet & Aziz Moukrim, 2013. "A New Graph-Theoretical Model for the Guillotine-Cutting Problem," INFORMS Journal on Computing, INFORMS, vol. 25(1), pages 72-86, February.
    2. Iori, Manuel & de Lima, Vinícius L. & Martello, Silvano & Miyazawa, Flávio K. & Monaci, Michele, 2021. "Exact solution techniques for two-dimensional cutting and packing," European Journal of Operational Research, Elsevier, vol. 289(2), pages 399-415.
    3. Krzysztof Fleszar, 2016. "An Exact Algorithm for the Two-Dimensional Stage-Unrestricted Guillotine Cutting/Packing Decision Problem," INFORMS Journal on Computing, INFORMS, vol. 28(4), pages 703-720, November.

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