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The Quadratic Assignment Problem: An Analysis of Applications and Solution Strategies

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  • Robin S Liggett

    (School of Architecture and Urban Planning, University of California, Los Angeles, California 90024, USA)

Abstract

A wide variety of practical problems in design, planning, and management can be formulated as quadratic assignment problems, and this paper discusses this class of problem. Since algorithms for producing optimal solutions to such problems are computationally infeasible for all but small problems of this type, heuristic techniques must usually be employed for the solution of real practical problems. This paper explores and compares a variety of solution techniques found in the literature, considering the trade-offs between computational efficiency and quality of solutions generated. Recommendations are made about the key factors to be considered in developing and applying heuristic solution procedures.

Suggested Citation

  • Robin S Liggett, 1980. "The Quadratic Assignment Problem: An Analysis of Applications and Solution Strategies," Environment and Planning B, , vol. 7(2), pages 141-162, June.
    • Handle: RePEc:sae:envirb:v:7:y:1980:i:2:p:141-162
    DOI: 10.1068/b070141
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    References listed on IDEAS

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    1. Raoul J. Freeman & David C. Gogerty & Glenn W. Graves & Robin B. S. Brooks, 1966. "A Mathematical Model of Supply Support for Space Operations," Operations Research, INFORMS, vol. 14(1), pages 1-15, February.
    2. Harry K. Edwards & Billy E. Gillett & Monta E. Hale, 1970. "Modular Allocation Technique (MAT)," Management Science, INFORMS, vol. 17(3), pages 161-169, November.
    3. A. M. Geoffrion & G. W. Graves, 1976. "Scheduling Parallel Production Lines with Changeover Costs: Practical Application of a Quadratic Assignment/ LP Approach," Operations Research, INFORMS, vol. 24(4), pages 595-610, August.
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