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Graph theoretic heuristics for unequal-sized facility layout problems

  • Kim, J. -Y.
  • Kim, Y. -D.
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    We consider the unequal-sized facility layout problem with the objective of minimizing total transportation distance. The total transportation distance is defined as the sum of products of flow amounts and rectilinear distances between facilities, where flow amount represents the number of trips per time period between facilities. In the layout problem, it is assumed that shapes of facilities are not fixed and that there is no empty space between facilities in the layout. We propose new graph theoretic heuristics for the problem. In the heuristics, an initial layout is obtained by constructing a planar adjacency graph and then the solution is improved by changing the adjacency graph (not the physical layout). Therefore, these heuristics do not need an initial layout in advance, and sizes and locations of facilities do not have to be considered in the improvement procedure. Computational results showed that the proposed algorithms gave better solutions than those from CRAFT, which is one of the most popular algorithms for unequal-sized facility layout problems.

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    Article provided by Elsevier in its journal Omega.

    Volume (Year): 23 (1995)
    Issue (Month): 4 (August)
    Pages: 391-401

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    Handle: RePEc:eee:jomega:v:23:y:1995:i:4:p:391-401
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    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. Janny Leung, 1992. "A New Graph-Theoretic Heuristic for Facility Layout," Management Science, INFORMS, vol. 38(4), pages 594-605, April.
    3. Eugene L. Lawler, 1963. "The Quadratic Assignment Problem," Management Science, INFORMS, vol. 9(4), pages 586-599, July.
    4. 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.
    5. Michael Scriabin & Roger C. Vergin, 1985. "A Cluster-Analytic Approach to Facility Layout," Management Science, INFORMS, vol. 31(1), pages 33-49, January.
    6. 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.
    7. Jouko Seppänen & James M. Moore, 1970. "Facilities Planning with Graph Theory," Management Science, INFORMS, vol. 17(4), pages B242-B253, December.
    8. Heragu, Sunderesh S., 1992. "Recent models and techniques for solving the layout problem," European Journal of Operational Research, Elsevier, vol. 57(2), pages 136-144, March.
    9. Kaufman, L. & Broeckx, F., 1978. "An algorithm for the quadratic assignment problem using Bender's decomposition," European Journal of Operational Research, Elsevier, vol. 2(3), pages 207-211, May.
    10. Green, Rh & Al-Hakim, Lar, 1985. "A heuristic for facilities layout planning," Omega, Elsevier, vol. 13(5), pages 469-474.
    11. Harry K. Edwards & Billy E. Gillett & Monta E. Hale, 1970. "Modular Allocation Technique (MAT)," Management Science, INFORMS, vol. 17(3), pages 161-169, November.
    12. Frederick S. Hillier & Michael M. Connors, 1966. "Quadratic Assignment Problem Algorithms and the Location of Indivisible Facilities," Management Science, INFORMS, vol. 13(1), pages 42-57, September.
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