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An efficient tabu algorithm for the single row facility layout problem

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  • Samarghandi, Hamed
  • Eshghi, Kourosh
Abstract
The general goal of the facility layout problem is to arrange a given number of facilities to minimize the total cost associated with the known or projected interactions between them. One of the special classes of the facility layout problem is the Single Row Facility Layout Problem (SRFLP), which consists of finding an optimal linear placement of rectangular facilities with varying dimensions on a straight line. This paper first presents and proves a theorem to find the optimal solution of a special case of SRFLP. The results obtained by this theorem prove to be very useful in reducing the computational efforts when a new algorithm based on tabu search for the SRFLP is proposed in this paper. Computational results of the proposed algorithm on benchmark problems show the greater efficiency of the algorithm compared to the other heuristics for solving the SRFLP.

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  • 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.
    • Handle: RePEc:eee:ejores:v:205:y:2010:i:1:p:98-105
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    References listed on IDEAS

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    1. Zvi Drezner, 1987. "A Heuristic Procedure for the Layout of a Large Number of Facilities," Management Science, INFORMS, vol. 33(7), pages 907-915, July.
    2. 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.
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    4. 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.
    5. 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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    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. Donald M. Simmons, 1969. "One-Dimensional Space Allocation: An Ordering Algorithm," Operations Research, INFORMS, vol. 17(5), pages 812-826, October.
    9. Suresh, G. & Sahu, S., 1993. "Multiobjective facility layout using simulated annealing," International Journal of Production Economics, Elsevier, vol. 32(2), pages 239-254, September.
    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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    Citations

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    Cited by:

    1. I. Jerin Leno & S. Saravana Sankar & S. G. Ponnambalam, 2018. "MIP model and elitist strategy hybrid GA–SA algorithm for layout design," Journal of Intelligent Manufacturing, Springer, vol. 29(2), pages 369-387, February.
    2. 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.
    3. 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.
    4. 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.
    5. Philipp Hungerländer & Franz Rendl, 2013. "A computational study and survey of methods for the single-row facility layout problem," Computational Optimization and Applications, Springer, vol. 55(1), pages 1-20, May.
    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. 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.
    8. Mariem Besbes & Marc Zolghadri & Roberta Costa Affonso & Faouzi Masmoudi & Mohamed Haddar, 2020. "A methodology for solving facility layout problem considering barriers: genetic algorithm coupled with A* search," Journal of Intelligent Manufacturing, Springer, vol. 31(3), pages 615-640, March.
    9. 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.
    10. 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.
    11. Gintaras Palubeckis & Armantas Ostreika & Jūratė Platužienė, 2022. "A Variable Neighborhood Search Approach for the Dynamic Single Row Facility Layout Problem," Mathematics, MDPI, vol. 10(13), pages 1-27, June.
    12. 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.
    13. 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.
    14. Keller, Birgit & Buscher, Udo, 2015. "Single row layout models," European Journal of Operational Research, Elsevier, vol. 245(3), pages 629-644.
    15. 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.
    16. Azadeh, A. & Moghaddam, M. & Asadzadeh, S.M. & Negahban, A., 2011. "An integrated fuzzy simulation-fuzzy data envelopment analysis algorithm for job-shop layout optimization: The case of injection process with ambiguous data," European Journal of Operational Research, Elsevier, vol. 214(3), pages 768-779, November.
    17. Dahlbeck, Mirko, 2021. "A mixed-integer linear programming approach for the T-row and the multi-bay facility layout problem," European Journal of Operational Research, Elsevier, vol. 295(2), pages 443-462.

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