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The independent quadratic assignment problem: complexity and polynomially solvable special cases

Author

Listed:
  • Ante Ćustić

    (Simon Fraser University Surrey)

  • Wei Yang

    (Northwestern Polytechnical University)

  • Yang Wang

    (Northwestern Polytechnical University)

  • Abraham P. Punnen

    (Simon Fraser University Surrey)

Abstract

In this paper, we study the independent quadratic assignment problem which is a variation of the well-known Koopmans–Beckman quadratic assignment problem. The problem is strongly NP-hard and is also hard to approximate. Some polynomially solvable special cases are identified along with a complete characterization of linearizable instances of the problem, the validity of which is shown to be verifiable in linear time. This improves the existing quadratic bound for this problem. Additional complexity results are also presented.

Suggested Citation

  • Ante Ćustić & Wei Yang & Yang Wang & Abraham P. Punnen, 2025. "The independent quadratic assignment problem: complexity and polynomially solvable special cases," Journal of Combinatorial Optimization, Springer, vol. 49(5), pages 1-11, July.
    • Handle: RePEc:spr:jcomop:v:49:y:2025:i:5:d:10.1007_s10878-025-01302-6
    DOI: 10.1007/s10878-025-01302-6
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    References listed on IDEAS

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    1. Eranda Çela & Vladimir G. Deineko & Gerhard J. Woeginger, 2016. "Linearizable special cases of the QAP," Journal of Combinatorial Optimization, Springer, vol. 31(3), pages 1269-1279, April.
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    8. de Meijer, Frank & Sotirov, Renata, 2020. "The quadratic cycle cover problem : Special cases and efficient bounds," Other publications TiSEM 4833d34e-eece-48bc-bbf0-3, Tilburg University, School of Economics and Management.
    9. Vladyslav Sokol & Ante Ćustić & Abraham P. Punnen & Binay Bhattacharya, 2020. "Bilinear Assignment Problem: Large Neighborhoods and Experimental Analysis of Algorithms," INFORMS Journal on Computing, INFORMS, vol. 32(3), pages 730-746, July.
    10. Frank Meijer & Renata Sotirov, 2020. "The quadratic cycle cover problem: special cases and efficient bounds," Journal of Combinatorial Optimization, Springer, vol. 39(4), pages 1096-1128, May.
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