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Solution Approaches for the Double-Row Equidistant Facility Layout Problem

In: Operations Research Proceedings 2014

Author

Listed:
  • Miguel F. Anjos

    (GERAD & École Polytechnique de Montréal)

  • Anja Fischer

    (TU Dortmund)

  • Philipp Hungerländer

    (Alpen-Adria Universität Klagenfurt)

Abstract

We consider the Double-Row Equidistant Facility Layout Problem and show that the number of spaces needed to preserve at least one optimal solution is much smaller compared to the general double-row layout problem. We exploit this fact to tailor exact integer linear programming (ILP) and semidefinite programming (SDP) approaches that outperform other recent methods for this problem. We report computational results on a variety of benchmark instances showing that the ILP is preferable for small and medium instances whereas the SDP yields better results on large instances with up to 60 departments.

Suggested Citation

  • Miguel F. Anjos & Anja Fischer & Philipp Hungerländer, 2016. "Solution Approaches for the Double-Row Equidistant Facility Layout 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 17-23, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-28697-6_3
    DOI: 10.1007/978-3-319-28697-6_3
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    Cited by:

    1. Dahlbeck, Mirko & Fischer, Anja & Fischer, Frank, 2020. "Decorous combinatorial lower bounds for row layout problems," European Journal of Operational Research, Elsevier, vol. 286(3), pages 929-944.
    2. Dahlbeck, Mirko, 2021. "A mixed-integer linear programming approach for the T-row and the multi-bay facility layout problem," European Journal of Operational Research, Elsevier, vol. 295(2), pages 443-462.

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