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A Competitive Genetic Algorithm for Single Row Facility Layout

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  • Kothari, Ravi
  • Ghosh, Diptesh

Abstract

The single row facility layout is the NP-Hard problem of arranging facilities with given lengths on a line, so as to minimize the weighted sum of the distances between all pairs of facilities. Owing to the computational complexity of the problem, researchers have developed several heuristics to obtain good quality solutions. In this paper, we present a genetic algorithm to solve large SRFLP instances. Our computational experiments show that an appropriate selection of genetic operators can yield high quality solutions in spite of starting with an initial population that is largely randomly generated. Our algorithm improves the previously best known solutions for several benchmark instances and is competitive for the remaining ones.

Suggested Citation

  • Kothari, Ravi & Ghosh, Diptesh, 2012. "A Competitive Genetic Algorithm for Single Row Facility Layout," IIMA Working Papers WP2012-03-01, Indian Institute of Management Ahmedabad, Research and Publication Department.
    • Handle: RePEc:iim:iimawp:11433
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    References listed on IDEAS

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    1. Heragu, Sunderesh S. & Kusiak, Andrew, 1991. "Efficient models for the facility layout problem," European Journal of Operational Research, Elsevier, vol. 53(1), pages 1-13, July.
    2. 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.
    3. 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.
    4. 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.
    5. Jean-Claude Picard & Maurice Queyranne, 1981. "On the One-Dimensional Space Allocation Problem," Operations Research, INFORMS, vol. 29(2), pages 371-391, April.
    6. 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.
    7. Sunderesh S. Heragu & Andrew Kusiak, 1988. "Machine Layout Problem in Flexible Manufacturing Systems," Operations Research, INFORMS, vol. 36(2), pages 258-268, April.
    8. Samarghandi, Hamed & Eshghi, Kourosh, 2010. "An efficient tabu algorithm for the single row facility layout problem," European Journal of Operational Research, Elsevier, vol. 205(1), pages 98-105, August.
    9. Donald M. Simmons, 1969. "One-Dimensional Space Allocation: An Ordering Algorithm," Operations Research, INFORMS, vol. 17(5), pages 812-826, October.
    10. 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.
    11. 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.
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    Cited by:

    1. Parveen Sharma & Sandeep Singhal, 2017. "Analysis of facility layout alternatives using proposed integrated approach," OPSEARCH, Springer;Operational Research Society of India, vol. 54(1), pages 1-20, March.
    2. 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.
    3. Palubeckis, Gintaras, 2015. "Fast local search for single row facility layout," European Journal of Operational Research, Elsevier, vol. 246(3), pages 800-814.
    4. Dahlbeck, Mirko & Fischer, Anja & Fischer, Frank & Hungerländer, Philipp & Maier, Kerstin, 2023. "Exact approaches for the combined cell layout problem," European Journal of Operational Research, Elsevier, vol. 305(2), pages 530-546.

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