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The Quadratic Assignment Problem

In: Location Science

Author

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  • Zvi Drezner

    (California State University)

Abstract

The quadratic assignment problem is reviewed in this chapter. Weights between pairs of facilities and distances between the same number of locations are given. The problem is to find the assignment of facilities to locations that minimizes the weighted sum of distances. This problem is considered to be one of the most difficult combinatorial optimization problems. The construction of efficient solution algorithms (exact or heuristic) is challenging and has been extensively investigated by the communities working in Operations Research/Management Science, Industrial Engineering, or Computer Science. Examples of applications are given, the related layout problem is briefly described, exact and heuristic solution algorithms are reviewed, and a list of test problem instances and results are reported.

Suggested Citation

  • Zvi Drezner, 2015. "The Quadratic Assignment Problem," Springer Books, in: Gilbert Laporte & Stefan Nickel & Francisco Saldanha da Gama (ed.), Location Science, edition 127, chapter 0, pages 345-363, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13111-5_13
    DOI: 10.1007/978-3-319-13111-5_13
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    Citations

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    Cited by:

    1. Brimberg, Jack & Kalczynski, Pawel & Drezner, Zvi, 2024. "Different formulations of the gray pattern problem and their optimal solutions," European Journal of Operational Research, Elsevier, vol. 316(1), pages 61-71.
    2. Feizollahi, Mohammad Javad & Feyzollahi, Hadi, 2015. "Robust quadratic assignment problem with budgeted uncertain flows," Operations Research Perspectives, Elsevier, vol. 2(C), pages 114-123.
    3. Zvi Drezner & Pawel Kalczynski, 2017. "The continuous grey pattern problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(5), pages 469-483, May.
    4. T. G. Pradeepmon & Vinay V. Panicker & R. Sridharan, 2021. "A variable neighbourhood search enhanced estimation of distribution algorithm for quadratic assignment problems," OPSEARCH, Springer;Operational Research Society of India, vol. 58(1), pages 203-233, March.
    5. Zvi Drezner & Taly Dawn Drezner, 2020. "Biologically Inspired Parent Selection in Genetic Algorithms," Annals of Operations Research, Springer, vol. 287(1), pages 161-183, April.
    6. Zhuoxuan Jiang & Xinyuan Zhao & Chao Ding, 2021. "A proximal DC approach for quadratic assignment problem," Computational Optimization and Applications, Springer, vol. 78(3), pages 825-851, April.

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