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A review of graph theory application to the facilities layout problem

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  • Hassan, Mohsen MD
  • Hogg, Gary L

Abstract

In this paper, the application of graph theory to the facilities layout problem is reviewed. The basic concepts of the approach, and its similarities and differences with respect to current approaches are examined. Previous and current work in this area is presented in a unified framework to aid in understanding the concepts and methodologies employed. The paper concludes with an evaluation of this relatively new tool, considers its limitations, and provides suggestions for research.

Suggested Citation

  • Hassan, Mohsen MD & Hogg, Gary L, 1987. "A review of graph theory application to the facilities layout problem," Omega, Elsevier, vol. 15(4), pages 291-300.
    • Handle: RePEc:eee:jomega:v:15:y:1987:i:4:p:291-300
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    Cited by:

    1. Goldschmidt, Olivier & Takvorian, Alexis & Yu, Gang, 1996. "On finding a biconnected spanning planar subgraph with applications to the facilities layout problem," European Journal of Operational Research, Elsevier, vol. 94(1), pages 97-105, October.
    2. Hassan, Mohsen M. D., 2000. "Toward re-engineering models and algorithms of facility layout," Omega, Elsevier, vol. 28(6), pages 711-723, December.
    3. Hassan, Mohsen M. D., 1995. "Layout design in group technology manufacturing," International Journal of Production Economics, Elsevier, vol. 38(2-3), pages 173-188, March.
    4. Jingyang Zhou & Peter E.D. Love & Kok Lay Teo & Hanbin Luo, 2017. "An exact penalty function method for optimising QAP formulation in facility layout problem," International Journal of Production Research, Taylor & Francis Journals, vol. 55(10), pages 2913-2929, May.

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