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A Quadratic Programming Formulation of the Equidistant Bi-directional Loop Layout Problem

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  • Ghosh, Diptesh

Abstract

A loop layout is a common layout used in exible manufacturing. In such a layout, a set of stations or facilities are to be arranged in a closed loop so that the total cost of ow between each pair of facilities is minimized. The most common mathematical programming formulation of the problem is based on a quadratic assignment formulation. In this paper, we modify that formulation taking advantage of the structure of the problem.

Suggested Citation

  • Ghosh, Diptesh, 2015. "A Quadratic Programming Formulation of the Equidistant Bi-directional Loop Layout Problem," IIMA Working Papers WP2015-10-05, Indian Institute of Management Ahmedabad, Research and Publication Department.
  • Handle: RePEc:iim:iimawp:13755
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    File URL: https://www.iima.ac.in/sites/default/files/rnpfiles/18840062082015-10-05.pdf
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    References listed on IDEAS

    as
    1. Kaku, Bharat K. & Rachamadugu, Ram, 1992. "Layout design for flexible manufacturing systems," European Journal of Operational Research, Elsevier, vol. 57(2), pages 224-230, March.
    2. Öncan, Temel & AltInel, I. Kuban, 2008. "Exact solution procedures for the balanced unidirectional cyclic layout problem," European Journal of Operational Research, Elsevier, vol. 189(3), pages 609-623, September.
    3. Kiran, Ali S. & Tamer Unal, Ali & Karabati, Selcuk, 1992. "A location problem on unicyclic networks: Balanced case," European Journal of Operational Research, Elsevier, vol. 62(2), pages 194-202, October.
    4. André R. S. Amaral, 2008. "An Exact Approach to the One-Dimensional Facility Layout Problem," Operations Research, INFORMS, vol. 56(4), pages 1026-1033, August.
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