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New Inequalities for 1D Relaxations of the 2D Rectangular Strip Packing Problem

In: Operations Research Proceedings 2014

Author

Listed:
  • Isabel Friedow

    (Technical University of Dresden)

  • Guntram Scheithauer

    (Technical University of Dresden)

Abstract

We investigate a heuristic for the two-dimensional rectangular strip packing problem that constructs a feasible two-dimensional packing by placing one-dimensional cutting patterns obtained by solving the horizontal one-dimensional bar relaxation. To represent a solution of the strip packing problem, a solution of a horizontal bar relaxation has to satisfy, among others, the vertical contiguous condition. To strengthen the one-dimensional horizontal bar relaxation with respect to that vertical contiguity new inequalities are formulated. Some computational results are also reported.

Suggested Citation

  • Isabel Friedow & Guntram Scheithauer, 2016. "New Inequalities for 1D Relaxations of the 2D Rectangular Strip Packing Problem," Operations Research Proceedings, in: Marco Lübbecke & Arie Koster & Peter Letmathe & Reinhard Madlener & Britta Peis & Grit Walther (ed.), Operations Research Proceedings 2014, edition 1, pages 151-157, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-28697-6_22
    DOI: 10.1007/978-3-319-28697-6_22
    as

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