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The Quadratic Assignment Problem: An Experimental Evaluation of Solution Strategies

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  • Robin Segerblom Liggett

    (University of California, Los Angeles)

Abstract

Since procedures for producing optimal solutions to a quadratic assignment problem are computationally infeasible for any but small problems, heuristic techniques for producing approximate solutions must be employed for the solution of real practical problems. This paper presents the results of experimentation that demonstrates that a solution procedure which couples a constructive initial placement technique with simple and inexpensive improvement procedures produces good solutions with very reasonable computation requirements. The results indicate that such an approach would make the solution of large-scale quadratic assignment problems feasible.

Suggested Citation

  • Robin Segerblom Liggett, 1981. "The Quadratic Assignment Problem: An Experimental Evaluation of Solution Strategies," Management Science, INFORMS, vol. 27(4), pages 442-458, April.
    • Handle: RePEc:inm:ormnsc:v:27:y:1981:i:4:p:442-458
    DOI: 10.1287/mnsc.27.4.442
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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. 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.
    3. W J Mitchell, 1998. "The New Economy of Presence," Environment and Planning B, , vol. 25(7), pages 20-22, December.
    4. Sarker, Bhaba R. & Wilhelm, Wilbert E. & Hogg, Gary L., 1998. "One-dimensional machine location problems in a multi-product flowline with equidistant locations," European Journal of Operational Research, Elsevier, vol. 105(3), pages 401-426, March.
    5. 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.

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    Keywords

    quadratic assignment problem;

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