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Population Heuristics for the Corridor Allocation Problem

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  • Ghosh, Diptesh
  • Kothari, Ravi

Abstract

The corridor allocation problem is one of assigning a given set of facilities in two rows along a straight corridor so as to minimize a weighted sum of the distances between every pair of facilities. This problem has practical applications in arrangements of rooms in oces and in hospitals. The problem is NP-hard. In this paper, we present two population based metaheuristic implementations for the problem; a genetic algorithm with local search embedded in it, and a scatter search algorithm with path relinking. We report the results of our experiments with these algorithms on benchmark instances with up to 49 facilities.

Suggested Citation

  • 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.
    • Handle: RePEc:iim:iimawp:11453
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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. 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.
    4. Kothari, Ravi & Ghosh, Diptesh, 2013. "Tabu search for the single row facility layout problem using exhaustive 2-opt and insertion neighborhoods," European Journal of Operational Research, Elsevier, vol. 224(1), pages 93-100.
    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. Donald M. Simmons, 1969. "One-Dimensional Space Allocation: An Ordering Algorithm," Operations Research, INFORMS, vol. 17(5), pages 812-826, October.
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    Cited by:

    1. Junqi Liu & Zeqiang Zhang & Feng Chen & Silu Liu & Lixia Zhu, 2022. "A novel hybrid immune clonal selection algorithm for the constrained corridor allocation problem," Journal of Intelligent Manufacturing, Springer, vol. 33(4), pages 953-972, April.
    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. 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.
    4. 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.
    5. Herrán, Alberto & Manuel Colmenar, J. & Duarte, Abraham, 2021. "An efficient variable neighborhood search for the Space-Free Multi-Row Facility Layout problem," European Journal of Operational Research, Elsevier, vol. 295(3), pages 893-907.
    6. Wu, Song & Yang, Wei & Hanafi, Saïd & Wilbaut, Christophe & Wang, Yang, 2024. "Iterated local search with ejection chains for the space-free multi-row facility layout problem," European Journal of Operational Research, Elsevier, vol. 316(3), pages 873-886.

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