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A novel version of simulated annealing based on linguistic patterns for solving facility layout problems

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Listed:
  • Jerzy Grobelny
  • Rafal Michalski

Abstract

The paper presents a novel version of the simulated annealing algorithm based on linguistic patterns (LP) and fuzzy theory approach. The article describes shortly the linguistic patterns and shows on a simple illustrative example the idea of using the Łukasiewicz formula as a criterion for the facility layout optimization. Next, the detailed description of our LP version of simulated annealing is presented. The influence of the proposed algorithm parameters on the effectiveness of our approach is then examined in a simulation experiment involving four different types of facility layout problems. The outcomes from the first experiments are used for optimally setting the parameters of our proposal in the second simulation study focused on verifying its effectiveness for objects with uniform and variable sizes. The obtained results show that the presented procedure, apart from producing decent results in terms of the classic goal function and the linguistic pattern criterion, provided solutions that were qualitatively different than those generated by a crisp version.

Suggested Citation

  • Jerzy Grobelny & Rafal Michalski, 2017. "A novel version of simulated annealing based on linguistic patterns for solving facility layout problems," WORking papers in Management Science (WORMS) WORMS/17/07, Department of Operations Research and Business Intelligence, Wroclaw University of Science and Technology.
    • Handle: RePEc:ahh:wpaper:worms1707
    DOI: 10.1016/j.knosys.2017.03.001
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    File URL: https://worms.pwr.edu.pl/RePEc/ahh/wpaper/WORMS_17_07.pdf
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    References listed on IDEAS

    as
    1. Kusiak, Andrew & Heragu, Sunderesh S., 1987. "The facility layout problem," European Journal of Operational Research, Elsevier, vol. 29(3), pages 229-251, June.
    2. Robin Segerblom Liggett, 1981. "The Quadratic Assignment Problem: An Experimental Evaluation of Solution Strategies," Management Science, INFORMS, vol. 27(4), pages 442-458, April.
    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. Palubeckis, Gintaras, 2015. "Fast simulated annealing for single-row equidistant facility layout," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 287-301.
    5. Paes, Frederico Galaxe & Pessoa, Artur Alves & Vidal, Thibaut, 2017. "A hybrid genetic algorithm with decomposition phases for the Unequal Area Facility Layout Problem," European Journal of Operational Research, Elsevier, vol. 256(3), pages 742-756.
    6. Gonçalves, José Fernando & Resende, Mauricio G.C., 2015. "A biased random-key genetic algorithm for the unequal area facility layout problem," European Journal of Operational Research, Elsevier, vol. 246(1), pages 86-107.
    7. Loiola, Eliane Maria & de Abreu, Nair Maria Maia & Boaventura-Netto, Paulo Oswaldo & Hahn, Peter & Querido, Tania, 2007. "A survey for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 176(2), pages 657-690, January.
    8. Christopher E. Nugent & Thomas E. Vollmann & John Ruml, 1968. "An Experimental Comparison of Techniques for the Assignment of Facilities to Locations," Operations Research, INFORMS, vol. 16(1), pages 150-173, February.
    9. Matai, Rajesh, 2015. "Solving multi objective facility layout problem by modified simulated annealing," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 302-311.
    10. Anirban Kundu & Pranab K. Dan, 2012. "Metaheuristic in facility layout problems: current trend and future direction," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 10(2), pages 238-253.
    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.
    12. Komarudin & Wong, Kuan Yew, 2010. "Applying Ant System for solving Unequal Area Facility Layout Problems," European Journal of Operational Research, Elsevier, vol. 202(3), pages 730-746, May.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Pablo Pérez-Gosende & Josefa Mula & Manuel Díaz-Madroñero, 2020. "Overview of Dynamic Facility Layout Planning as a Sustainability Strategy," Sustainability, MDPI, vol. 12(19), pages 1-16, October.
    2. Rui Li & Yali Chen & Jinzhao Song & Ming Li & Yu Yu, 2023. "Multi-Objective Optimization Method of Industrial Workshop Layout from the Perspective of Low Carbon," Sustainability, MDPI, vol. 15(16), pages 1-23, August.
    3. Jerzy Grobelny & Rafal Michalski, 2018. "Simulated annealing based on linguistic patterns: experimental examination of properties for various types of logistic problems," WORking papers in Management Science (WORMS) WORMS/18/09, Department of Operations Research and Business Intelligence, Wroclaw University of Science and Technology.

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    More about this item

    Keywords

    Facility layout problem; Linguistic patterns; Fuzzy sets; Simulated annealing; Optimization;
    All these keywords.

    JEL classification:

    • C00 - Mathematical and Quantitative Methods - - General - - - General
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • L16 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Industrial Organization and Macroeconomics; Macroeconomic Industrial Structure
    • L23 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Organization of Production
    • L91 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Transportation: General
    • M11 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Administration - - - Production Management

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