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

Isabel Friedow () and Guntram Scheithauer ()
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Isabel Friedow: Technical University of Dresden
Guntram Scheithauer: Technical University of Dresden

A chapter in Operations Research Proceedings 2014, 2016, pp 151-157 from Springer

Abstract: 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.

Keywords: Strip Packing Problem; Rectangle; Bin Stock; Bottom Pattern; Constructive Heuristic Approach (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:oprchp:978-3-319-28697-6_22

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DOI: 10.1007/978-3-319-28697-6_22

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