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A Perturbation Scheme to Improve Hillier's Solution to the Facilities Layout Problem

Author

Listed:
  • Christopher J. Picone

    (Mare Island Naval Shipyard)

  • Wilbert E. Wilhelm

    (Department of Industrial & Systems Engineering, Ohio State University, Columbus, Ohio 43210)

Abstract

This paper describes a new heuristic, the Revised Hillier procedure, for solving the facilities layout problem. It incorporates the effective features of the well-known Hillier procedure in combination with 3-way and 4-way exchanges to extend the neighborhood over which the search for a solution is conducted. Performance of the new heuristic is compared with that of CRAFT and the original Hillier procedure using a set of "standard" test problems; the Revised Hillier procedure yields solutions of higher quality while requiring only modest increases in computer run time.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:ormnsc:v:30:y:1984:i:10:p:1238-1249
    DOI: 10.1287/mnsc.30.10.1238
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    Cited by:

    1. 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.
    2. 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.
    3. Li, Wu-Ji & Smith, J. MacGregor, 1995. "An algorithm for Quadratic Assignment Problems," European Journal of Operational Research, Elsevier, vol. 81(1), pages 205-216, February.
    4. 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.

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