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A Constraint-Based Approach for the Two-Dimensional Rectangular Packing Problem with Orthogonal Orientations

In: Operations Research Proceedings 2008

Author

Listed:
  • Martin Berger

    (Fraunhofer Institute for Industrial Mathematics)

  • Michael Schröder

    (Fraunhofer Institute for Industrial Mathematics)

  • Karl-Heinz Küfer

    (Fraunhofer Institute for Industrial Mathematics)

Abstract

Summary We propose a constraint-based approach for the two-dimensional rectangular packing problem with orthogonal orientations. This problem is to arrange a set of rectangles that can be rotated by 90 degrees into a rectangle of minimal size such that no two rectangles overlap. It arises in the placement of electronic devices during the layout of 2.5D System-in-Package integrated electronic systems. Moffitt et al. [2] solve the packing without orientations with a branch and bound approach and use constraint propagation. We generalize their propagation techniques to allow orientations. Our approach is compared to a mixed-integer program and we provide results that outperform it

Suggested Citation

  • Martin Berger & Michael Schröder & Karl-Heinz Küfer, 2009. "A Constraint-Based Approach for the Two-Dimensional Rectangular Packing Problem with Orthogonal Orientations," Springer Books, in: Bernhard Fleischmann & Karl-Heinz Borgwardt & Robert Klein & Axel Tuma (ed.), Operations Research Proceedings 2008, chapter 69, pages 427-432, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-00142-0_69
    DOI: 10.1007/978-3-642-00142-0_69
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