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A heuristic approach for the double row layout problem

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  • A. R. S. Amaral

    (Federal University of Espírito Santo (UFES))

Abstract

In the double row layout problem, we wish to position n machines on two parallel rows in order to minimize the cost of material flow among machines. The problem is NP-hard and has applications in industry. Here, an algorithm is presented, which works in two phases: (1) applying an improvement heuristic to optimize a random double row layout of a certain type and, then, (2) adjusting the absolute position of each machine in the layout via Linear Programming. Four variants of this two-phase algorithm are proposed and their efficiency is demonstrated by computational tests on several instances from the literature with sizes up to 50 machines.

Suggested Citation

  • A. R. S. Amaral, 2022. "A heuristic approach for the double row layout problem," Annals of Operations Research, Springer, vol. 316(2), pages 1-36, September.
  • Handle: RePEc:spr:annopr:v:316:y:2022:i:2:d:10.1007_s10479-020-03617-5
    DOI: 10.1007/s10479-020-03617-5
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    References listed on IDEAS

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    1. 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.
    2. Sunderesh S. Heragu & Andrew Kusiak, 1988. "Machine Layout Problem in Flexible Manufacturing Systems," Operations Research, INFORMS, vol. 36(2), pages 258-268, April.
    3. 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.
    4. 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.
    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. Donald M. Simmons, 1969. "One-Dimensional Space Allocation: An Ordering Algorithm," Operations Research, INFORMS, vol. 17(5), pages 812-826, October.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. X.Q. Zuo & C.C. Murray & A.E. Smith, 2016. "Sharing clearances to improve machine layout," International Journal of Production Research, Taylor & Francis Journals, vol. 54(14), pages 4272-4285, July.
    13. Jean-Claude Picard & Maurice Queyranne, 1981. "On the One-Dimensional Space Allocation Problem," Operations Research, INFORMS, vol. 29(2), pages 371-391, April.
    14. 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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