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The Single Row Facility Layout Problem: State of the Art

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  • Kothari, Ravi
  • Ghosh, Diptesh

Abstract

The single row facility layout problem (SRFLP) is a NP-hard problem concerned with the arrangement of facilities of given lenghs on a line so as to minimize the weighted sum of the distances between all the pairs of facilities. The SRFLP and its special cases often arise while modeling a large variety of applications. It was actively researched until the mid-nineties. It has again been actively studied since 2005. Interestingly, research on many aspects of this problem is still in the initial stages, and hence the SRFLP is an interesting problem to work on. In this paper, we review the literature on the SRFLP and comment on its relationship with other location problems. We then provide an overview of different formulations of the problem that appear in the literature. We provide exact and heuristic approaches that have been used to solve SRFLPs, and finally point out research gaps and promising directions for future research on this problem.

Suggested Citation

  • Kothari, Ravi & Ghosh, Diptesh, 2011. "The Single Row Facility Layout Problem: State of the Art," IIMA Working Papers WP2011-12-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
    • Handle: RePEc:iim:iimawp:11005
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    File URL: https://www.iima.ac.in/sites/default/files/rnpfiles/7736113342011-12-02.pdf
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    References listed on IDEAS

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    1. Miguel F. Anjos & Anthony Vannelli, 2008. "Computing Globally Optimal Solutions for Single-Row Layout Problems Using Semidefinite Programming and Cutting Planes," INFORMS Journal on Computing, INFORMS, vol. 20(4), pages 611-617, November.
    2. 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.
    3. Sunderesh S. Heragu & Andrew Kusiak, 1988. "Machine Layout Problem in Flexible Manufacturing Systems," Operations Research, INFORMS, vol. 36(2), pages 258-268, April.
    4. Heragu, Sunderesh S. & Alfa, Attahiru Sule, 1992. "Experimental analysis of simulated annealing based algorithms for the layout problem," European Journal of Operational Research, Elsevier, vol. 57(2), pages 190-202, March.
    5. Datta, Dilip & Amaral, André R.S. & Figueira, José Rui, 2011. "Single row facility layout problem using a permutation-based genetic algorithm," European Journal of Operational Research, Elsevier, vol. 213(2), pages 388-394, September.
    6. Ravi Kumar, K. & Hadjinicola, George C. & Lin, Ting-li, 1995. "A heuristic procedure for the single-row facility layout problem," European Journal of Operational Research, Elsevier, vol. 87(1), pages 65-73, November.
    7. Jean-Claude Picard & Maurice Queyranne, 1981. "On the One-Dimensional Space Allocation Problem," Operations Research, INFORMS, vol. 29(2), pages 371-391, April.
    8. Donald M. Simmons, 1969. "One-Dimensional Space Allocation: An Ordering Algorithm," Operations Research, INFORMS, vol. 17(5), pages 812-826, October.
    9. Amaral, Andre R.S., 2006. "On the exact solution of a facility layout problem," European Journal of Operational Research, Elsevier, vol. 173(2), pages 508-518, September.
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    Cited by:

    1. Kothari, Ravi & Ghosh, Diptesh, 2012. "Scatter Search Algorithms for the Single Row Facility Layout Problem," IIMA Working Papers WP2012-04-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
    2. Ahonen, H. & de Alvarenga, A.G. & Amaral, A.R.S., 2014. "Simulated annealing and tabu search approaches for the Corridor Allocation Problem," European Journal of Operational Research, Elsevier, vol. 232(1), pages 221-233.
    3. Keller, Birgit & Buscher, Udo, 2015. "Single row layout models," European Journal of Operational Research, Elsevier, vol. 245(3), pages 629-644.
    4. Kothari, Ravi & Ghosh, Diptesh, 2012. "Tabu Search for the Single Row Facility Layout Problem in FMS using a 3-opt Neighborhood," IIMA Working Papers WP2012-02-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
    5. Kothari, Ravi & Ghosh, Diptesh, 2012. "A Lin-Kernighan Heuristic for Single Row Facility Layout," IIMA Working Papers WP2012-01-04, Indian Institute of Management Ahmedabad, Research and Publication Department.
    6. Ghosh, Diptesh, 2016. "Allocating tools to index positions in tool magazines using tabu search," IIMA Working Papers WP2016-02-06, Indian Institute of Management Ahmedabad, Research and Publication Department.
    7. Parveen Sharma & Sandeep Singhal, 2016. "Design and evaluation of layout alternatives to enhance the performance of industry," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 741-760, December.

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