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Scatter Search Algorithms for the Single Row Facility Layout Problem

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  • Kothari, Ravi
  • Ghosh, Diptesh

Abstract

The single row facility layout problem (SRFLP) is the problem of arranging facilities with given lengths on a line, with the objective of minimizing the weighted sum of the distances between all pairs of facilities. The problem is NP-hard and research has focused on heuristics to solve large instances of the problem. In this paper we present four scatter search algorithms to solve large sized SRFLP instances. Our computational experiments show that these algorithms generate better solutions to 26 of the 43 large sized benchmark SRFLP instances than were previously known in the literature. In the other 17 instances they output the best solutions previously known in the literature.

Suggested Citation

  • 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.
    • Handle: RePEc:iim:iimawp:11434
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    References listed on IDEAS

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    2. 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.
    3. 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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    7. 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.
    8. 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.
    9. 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.
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    11. Uma Kothari & Diptesh Ghosh, 2012. "A Competitive Genetic Algorithm for Single Row Facility Layout," Working Papers id:4915, eSocialSciences.
    12. Donald M. Simmons, 1969. "One-Dimensional Space Allocation: An Ordering Algorithm," Operations Research, INFORMS, vol. 17(5), pages 812-826, October.
    13. 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. 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. 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.
    3. Mangesh Gharote & Rahul Patil & Sachin Lodha, 2017. "Scatter search for trainees to software project requirements stable allocation," Journal of Heuristics, Springer, vol. 23(4), pages 257-283, August.
    4. Hua, Hao & Hovestadt, Ludger & Tang, Peng & Li, Biao, 2019. "Integer programming for urban design," European Journal of Operational Research, Elsevier, vol. 274(3), pages 1125-1137.
    5. Palubeckis, Gintaras, 2015. "Fast local search for single row facility layout," European Journal of Operational Research, Elsevier, vol. 246(3), pages 800-814.
    6. 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.
    7. Anjos, Miguel F. & Fischer, Anja & Hungerländer, Philipp, 2018. "Improved exact approaches for row layout problems with departments of equal length," European Journal of Operational Research, Elsevier, vol. 270(2), pages 514-529.
    8. Hungerländer, Philipp & Anjos, Miguel F., 2015. "A semidefinite optimization-based approach for global optimization of multi-row facility layout," European Journal of Operational Research, Elsevier, vol. 245(1), pages 46-61.
    9. Ramazan Şahin & Sadegh Niroomand & Esra Duygu Durmaz & Saber Molla-Alizadeh-Zavardehi, 2020. "Mathematical formulation and hybrid meta-heuristic solution approaches for dynamic single row facility layout problem," Annals of Operations Research, Springer, vol. 295(1), pages 313-336, December.
    10. Palubeckis, Gintaras, 2015. "Fast simulated annealing for single-row equidistant facility layout," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 287-301.
    11. Ghosh, Diptesh & Kothari, Ravi, 2012. "Population Heuristics for the Corridor Allocation Problem," IIMA Working Papers WP2012-09-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
    12. Kothari, Ravi & Ghosh, Diptesh, 2012. "Path Relinking for Single Row Facility Layout," IIMA Working Papers WP2012-05-01, Indian Institute of Management Ahmedabad, Research and Publication Department.

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