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A spring-embedding approach for the facility layout problem

Author

Listed:
  • Ignacio Castillo

    (University of Alberta School of Business Edmonton)

  • Thaddeus Sim

    (University of Alberta School of Business Edmonton)

Abstract

The facility layout problem is concerned with finding the most efficient arrangement of a given number of departments with unequal area requirements within a facility. The facility layout problem is a hard problem, and therefore, exact solution methods are only feasible for small or greatly restricted problems. In this paper, we propose a spring-embedding approach that unlike previous approaches results in a model that is convex. Numerical results demonstrating the potential of our model and the efficiency of our solution procedure are presented.

Suggested Citation

  • 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.
    • Handle: RePEc:pal:jorsoc:v:55:y:2004:i:1:d:10.1057_palgrave.jors.2601647
    DOI: 10.1057/palgrave.jors.2601647
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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.
    3. Gordon C. Armour & Elwood S. Buffa, 1963. "A Heuristic Algorithm and Simulation Approach to Relative Location of Facilities," Management Science, INFORMS, vol. 9(2), pages 294-309, January.
    4. Kusiak, Andrew & Heragu, Sunderesh S., 1987. "The facility layout problem," European Journal of Operational Research, Elsevier, vol. 29(3), pages 229-251, June.
    5. Miguel F. Anjos & Anthony Vannelli, 2002. "An Attractor-Repeller approach to floorplanning," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 56(1), pages 3-27, August.
    6. 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.
    7. Zvi Drezner, 1980. "DISCON: A New Method for the Layout Problem," Operations Research, INFORMS, vol. 28(6), pages 1375-1384, December.
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    Cited by:

    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. Castillo, Ignacio & Kampas, Frank J. & Pintér, János D., 2008. "Solving circle packing problems by global optimization: Numerical results and industrial applications," European Journal of Operational Research, Elsevier, vol. 191(3), pages 786-802, December.
    3. repec:spr:compst:v:72:y:2010:i:2:p:205-216 is not listed on IDEAS

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