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Solution Approaches for the Double-Row Equidistant Facility Layout Problem

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Operations Research Proceedings 2014

Part of the book series: Operations Research Proceedings ((ORP))

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.

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Author information

Authors and Affiliations

  1. Canada Research Chair in Discrete Nonlinear Optimization in Engineering, GERAD & École Polytechnique de Montréal, Montreal, QC, H3C 3A7, Canada

    Miguel F. Anjos

  2. Department of Mathematics, TU Dortmund, Dortmund, Germany

    Anja Fischer

  3. Department of Mathematics, Alpen-Adria Universität Klagenfurt, Klagenfurt am Wörthersee, Austria

    Philipp Hungerländer

Authors
  1. Miguel F. Anjos
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  2. Anja Fischer
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  3. Philipp Hungerländer
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Corresponding author

Correspondence to Anja Fischer .

Editor information

Editors and Affiliations

  1. Operations Research, RWTH Aachen University, Aachen, Germany

    Marco Lübbecke

  2. Lehrstuhl II für Mathematik, RWTH Aachen University, Aachen, Germany

    Arie Koster

  3. RWTH Aachen University, Aachen, Nordrhein-Westfalen, Germany

    Peter Letmathe

  4. E.ON Energy Research Center, RWTH Aachen University, Aachen, Nordrhein-Westfalen, Germany

    Reinhard Madlener

  5. Management Science, RWTH Aachen University, Aachen, Nordrhein-Westfalen, Germany

    Britta Peis

  6. Chair of Operations Management, RWTH Aachen University, Aachen, Germany

    Grit Walther

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Anjos, M.F., Fischer, A., Hungerländer, P. (2016). Solution Approaches for the Double-Row Equidistant Facility Layout Problem. In: Lübbecke, M., Koster, A., Letmathe, P., Madlener, R., Peis, B., Walther, G. (eds) Operations Research Proceedings 2014. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-28697-6_3

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