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Tabu Search for the Single Row Facility Layout Problem Using Exhaustive 2-Opt and Insertion Neighborhoods

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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, while minimizing the weighted sum of the distances between all pairs of facilities. The problem is NP-hard. In this paper, we present two tabu search implementations, one involving an exhaustive search of the 2-opt neighborhood and the other involving an exhaustive search of the insertion neighborhood. We also present techniques to signifi cantly speed up the search of the two neighborhoods. Our computational experiments show that the speed up techniques are eff ective, and our tabu search implementations are competitive. Our tabu search implementations improved several previously known best solutions for large sized benchmark SRFLP instances.

Suggested Citation

  • Kothari, Ravi & Ghosh, Diptesh, 2012. "Tabu Search for the Single Row Facility Layout Problem Using Exhaustive 2-Opt and Insertion Neighborhoods," IIMA Working Papers WP2012-01-03, Indian Institute of Management Ahmedabad, Research and Publication Department.
  • Handle: RePEc:iim:iimawp:11427
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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. 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.
    4. 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.
    5. 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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    Citations

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    Cited by:

    1. Keller, Birgit & Buscher, Udo, 2015. "Single row layout models," European Journal of Operational Research, Elsevier, vol. 245(3), pages 629-644.
    2. Zeng, Zhizhong & Yu, Xinguo & He, Kun & Huang, Wenqi & Fu, Zhanghua, 2016. "Iterated Tabu Search and Variable Neighborhood Descent for packing unequal circles into a circular container," European Journal of Operational Research, Elsevier, vol. 250(2), pages 615-627.
    3. Guan, Jian & Lin, Geng, 2016. "Hybridizing variable neighborhood search with ant colony optimization for solving the single row facility layout problem," European Journal of Operational Research, Elsevier, vol. 248(3), pages 899-909.
    4. 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.
    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. Palubeckis, Gintaras, 2015. "Fast local search for single row facility layout," European Journal of Operational Research, Elsevier, vol. 246(3), pages 800-814.
    7. 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.
    8. 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.
    9. Kothari, Ravi & Ghosh, Diptesh, 2012. "Sensitivity Analysis for the Single Row Facility Layout Problem," IIMA Working Papers WP2012-04-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
    10. 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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