Multi-dimensional Bin Packing Problems with Guillotine Constraints

Rasmus Resen Amossen, David Pisinger

    Research output: Contribution to journalJournal articleResearchpeer-review

    Abstract

    The problem addressed in this paper is the decision problem of determining if a set of multi-dimensional rectangular boxes can be orthogonally packed into a rectangular bin while satisfying the requirement that the packing should be guillotine cuttable. That is, there should exist a series of face parallel straight cuts that can recursively cut the bin into pieces so that each piece contains a box and no box has been intersected by a cut. The unrestricted problem is known to be NP-hard. In this paper we present a generalization of a constructive algorithm for the multi-dimensional bin packing problem, with and without the guillotine constraint, based on constraint programming.
    Original languageEnglish
    JournalComputers & Operations Research
    Volume37
    Issue number11
    Pages (from-to)1999-2006
    ISSN0305-0548
    DOIs
    Publication statusPublished - 2010

    Keywords

    • constraint programming
    • packing
    • cutting

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