IDEAS home Printed from https://ideas.repec.org/a/spr/cejnor/v28y2020i2d10.1007_s10100-019-00632-1.html
   My bibliography  Save this article

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

Author

Listed:
  • Jerzy Grobelny

    (Wrocław University of Science and Technology)

  • Rafał Michalski

    (Wrocław University of Science and Technology)

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 & Rafał Michalski, 2020. "Effects of scatter plot initial solutions on regular grid facility layout algorithms in typical production models," 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 601-632, June.
    • Handle: RePEc:spr:cejnor:v:28:y:2020:i:2:d:10.1007_s10100-019-00632-1
    DOI: 10.1007/s10100-019-00632-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10100-019-00632-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10100-019-00632-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Zvi Drezner, 2010. "On the unboundedness of facility layout problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 72(2), pages 205-216, October.
    2. Igor Kierkosz & Maciej Luczak, 2014. "A hybrid evolutionary algorithm for the two-dimensional packing problem," 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. 22(4), pages 729-753, December.
    3. Gerhard Hiermann & Matthias Prandtstetter & Andrea Rendl & Jakob Puchinger & Günther Raidl, 2015. "Metaheuristics for solving a multimodal home-healthcare scheduling problem," 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. 23(1), pages 89-113, March.
    4. 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.
    5. Thomas E. Vollmann & Elwood S. Buffa, 1966. "The Facilities Layout Problem in Perspective," Management Science, INFORMS, vol. 12(10), pages 450-468, June.
    6. Jürgen Klüver & Christina Klüver, 2003. "Simulations of Group Dynamics with Different Models," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 6(4), pages 1-8.
    7. 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.
    8. 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.
    9. Burkard, R. E. & Rendl, F., 1984. "A thermodynamically motivated simulation procedure for combinatorial optimization problems," European Journal of Operational Research, Elsevier, vol. 17(2), pages 169-174, August.
    10. Michael Scriabin & Roger C. Vergin, 1985. "A Cluster-Analytic Approach to Facility Layout," Management Science, INFORMS, vol. 31(1), pages 33-49, January.
    11. Kusiak, Andrew & Heragu, Sunderesh S., 1987. "The facility layout problem," European Journal of Operational Research, Elsevier, vol. 29(3), pages 229-251, June.
    12. Robin Segerblom Liggett, 1981. "The Quadratic Assignment Problem: An Experimental Evaluation of Solution Strategies," Management Science, INFORMS, vol. 27(4), pages 442-458, April.
    13. Zvi Drezner, 1980. "DISCON: A New Method for the Layout Problem," Operations Research, INFORMS, vol. 28(6), pages 1375-1384, December.
    14. Christopher J. Picone & Wilbert E. Wilhelm, 1984. "A Perturbation Scheme to Improve Hillier's Solution to the Facilities Layout Problem," Management Science, INFORMS, vol. 30(10), pages 1238-1249, October.
    15. Dorota Kuchta, 2011. "A concept of a robust solution of a multicriterial linear programming problem," 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. 19(4), pages 605-613, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kim, J. -Y. & Kim, Y. -D., 1995. "Graph theoretic heuristics for unequal-sized facility layout problems," Omega, Elsevier, vol. 23(4), pages 391-401, August.
    2. 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.
    3. Paul D. Dowling & R. F. Love, 1990. "Floor layouts using a multifacility location model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 945-952, December.
    4. Kazuhiro Tsuchiya & Sunil Bharitkar & Yoshiyasu Takefuji, 1996. "A neural network approach to facility layout problems," European Journal of Operational Research, Elsevier, vol. 89(3), pages 556-563, March.
    5. 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.
    6. Ignacio Castillo & Thaddeus Sim, 2004. "A spring-embedding approach for the facility layout problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(1), pages 73-81, January.
    7. Zhongwei Zhang & Lihui Wu & Zhaoyun Wu & Wenqiang Zhang & Shun Jia & Tao Peng, 2022. "Energy-Saving Oriented Manufacturing Workshop Facility Layout: A Solution Approach Using Multi-Objective Particle Swarm Optimization," Sustainability, MDPI, vol. 14(5), pages 1-28, February.
    8. André R. S. Amaral, 2008. "An Exact Approach to the One-Dimensional Facility Layout Problem," Operations Research, INFORMS, vol. 56(4), pages 1026-1033, August.
    9. Chiang, Wen-Chyuan & Chiang, Chi, 1998. "Intelligent local search strategies for solving facility layout problems with the quadratic assignment problem formulation," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 457-488, April.
    10. Lin, Jin-Ling & Foote, Bobbie & Pulat, Simin & Chang, Chir-Ho & Cheung, John Y., 1996. "Solving the failure-to-fit problem for plant layout: By changing department shapes and sizes," European Journal of Operational Research, Elsevier, vol. 89(1), pages 135-146, February.
    11. Bolte, Andreas & Thonemann, Ulrich Wilhelm, 1996. "Optimizing simulated annealing schedules with genetic programming," European Journal of Operational Research, Elsevier, vol. 92(2), pages 402-416, July.
    12. Bazargan-Lari, Massoud, 1999. "Layout designs in cellular manufacturing," European Journal of Operational Research, Elsevier, vol. 112(2), pages 258-272, January.
    13. Arjang Assad & Weixuan Xu, 1992. "The quadratic minimum spanning tree problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(3), pages 399-417, April.
    14. Zvi Drezner & Peter Hahn & Éeric Taillard, 2005. "Recent Advances for the Quadratic Assignment Problem with Special Emphasis on Instances that are Difficult for Meta-Heuristic Methods," Annals of Operations Research, Springer, vol. 139(1), pages 65-94, October.
    15. 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.
    16. Zvi Drezner, 2003. "A New Genetic Algorithm for the Quadratic Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 15(3), pages 320-330, August.
    17. Palubeckis, Gintaras, 2015. "Fast simulated annealing for single-row equidistant facility layout," Applied Mathematics and Computation, Elsevier, vol. 263(C), pages 287-301.
    18. Hassan, Mohsen M. D., 2000. "Toward re-engineering models and algorithms of facility layout," Omega, Elsevier, vol. 28(6), pages 711-723, December.
    19. Jerzy Grobelny & Rafal Michalski, 2016. "A concept of a flexible approach to the facilities layout problems in logistics systems," WORking papers in Management Science (WORMS) WORMS/16/11, Department of Operations Research and Business Intelligence, Wroclaw University of Science and Technology.
    20. 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.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:cejnor:v:28:y:2020:i:2:d:10.1007_s10100-019-00632-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.