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Effects of scatter plot initial solutions on regular grid facility layout algorithms in typical production models

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  • Jerzy Grobelny
  • Rafal Michalski

Abstract

Two simulation experiments were conducted to verify whether the idea of virtual force scatter plot algorithm, used for searching solutions of the facility layout problems, may be used as an input to the classical CRAFT and simulated annealing (SA) algorithms. The proposed approach employs a regular grid for specifying possible locations of objects. Three independent variables were investigated in the first experiment, namely, (1) the size of the problem: 16, 36 and 64 objects, (2) the type of links between objects: grid, line, and loop, and (3) the shape of the possible places in which the objects can be situated: circle, row and square. The patterns of possible location places were also adapted to the analysis of examples taken from literature, included in the second experiment. The gathered data were statistically analyzed. The results shows substantial decrease in goal function means for all of the examined experimental conditions, if the proposed starting solutions are applied to the CRAFT algorithm. The application of the approach to SA is profitable in specific tasks. The presented comparative numerical results show, in which circumstances the proposed method is superior over various genetic algorithms and other hybrid approaches. Overall, the experimental data investigation demonstrates the usefulness of the proposed method and encourages further research in this direction.

Suggested Citation

  • Jerzy Grobelny & Rafal Michalski, 2020. "Effects of scatter plot initial solutions on regular grid facility layout algorithms in typical production models," WORking papers in Management Science (WORMS) WORMS/20/12, Department of Operations Research and Business Intelligence, Wroclaw University of Science and Technology.
    • Handle: RePEc:ahh:wpaper:worms2012
    DOI: 10.1007/s10100-019-00632-1
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    File URL: https://worms.pwr.edu.pl/RePEc/ahh/wpaper/WORMS_20_12.pdf
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    References listed on IDEAS

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    Cited by:

    1. Krzysztof Hankiewicz & Gerhard-Wilhelm Weber, 2020. "Human factors in a contemporary organization," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(2), pages 579-587, June.

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    More about this item

    Keywords

    Production layout; Human factors; Facility layout problem; Initial solutions; Scatter plots; Simulated annealing; Simulation experiments;
    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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