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Fast local search for single row facility layout

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  • Palubeckis, Gintaras

Abstract

Given n facilities of prescribed lengths and a flow matrix, the single row facility layout problem (SRFLP) is to arrange the facilities along a straight line so as to minimize the total arrangement cost, which is the sum of the products of the flows and center-to-center distances between facilities. We propose interchange and insertion neighborhood exploration (NE) procedures with time complexity O(n2), which is an improvement over O(n3)-time NE procedures from the literature. Numerical results show that, for large SRFLP instances, our insertion-based local search (LS) algorithm is two orders of magnitude faster than the best existing LS techniques. As a case study, we embed this LS algorithm into the variable neighborhood search (VNS) framework. We report computational results for SRFLP instances of size up to 300 facilities. They indicate that our VNS implementation offers markedly better performance than the variant of VNS that uses a recently proposed O(n3)-time insertion-based NE procedure.

Suggested Citation

  • Palubeckis, Gintaras, 2015. "Fast local search for single row facility layout," European Journal of Operational Research, Elsevier, vol. 246(3), pages 800-814.
    • Handle: RePEc:eee:ejores:v:246:y:2015:i:3:p:800-814
    DOI: 10.1016/j.ejor.2015.05.055
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. 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.
    3. Ghosh, Diptesh, 2016. "Speeding up neighborhood search for the tool indexing problem," IIMA Working Papers WP2016-09-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
    4. 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.
    5. 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.
    6. Parveen Sharma & Sandeep Singhal, 2016. "Design and evaluation of layout alternatives to enhance the performance of industry," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 741-760, December.
    7. 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.
    8. Palubeckis, Gintaras & Tomkevičius, Arūnas & Ostreika, Armantas, 2019. "Hybridizing simulated annealing with variable neighborhood search for bipartite graph crossing minimization," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 84-101.
    9. Xing Wan & Xing-Quan Zuo & Xin-Chao Zhao, 2021. "A Surrogate Model-Based Hybrid Approach for Stochastic Robust Double Row Layout Problem," Mathematics, MDPI, vol. 9(15), pages 1-18, July.

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