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A branch-and-bound algorithm for the quadratic assignment problem based on the Hungarian method

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  • Hahn, Peter
  • Grant, Thomas
  • Hall, Nat

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  • Hahn, Peter & Grant, Thomas & Hall, Nat, 1998. "A branch-and-bound algorithm for the quadratic assignment problem based on the Hungarian method," European Journal of Operational Research, Elsevier, vol. 108(3), pages 629-640, August.
    • Handle: RePEc:eee:ejores:v:108:y:1998:i:3:p:629-640
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    References listed on IDEAS

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    1. Paolo Carraresi & Federico Malucelli, 1992. "A New Lower Bound for the Quadratic Assignment Problem," Operations Research, INFORMS, vol. 40(1-supplem), pages 22-27, February.
    2. Burkard, Rainer E., 1984. "Quadratic assignment problems," European Journal of Operational Research, Elsevier, vol. 15(3), pages 283-289, March.
    3. Burkard, Rainer E. & Bonniger, Tilman, 1983. "A heuristic for quadratic Boolean programs with applications to quadratic assignment problems," European Journal of Operational Research, Elsevier, vol. 13(4), pages 374-386, August.
    4. Burkard, R. E. & Karisch, S. & Rendl, F., 1991. "QAPLIB-A quadratic assignment problem library," European Journal of Operational Research, Elsevier, vol. 55(1), pages 115-119, November.
    5. Eugene L. Lawler, 1963. "The Quadratic Assignment Problem," Management Science, INFORMS, vol. 9(4), pages 586-599, July.
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    Cited by:

    1. Vittorio Maniezzo, 1999. "Exact and Approximate Nondeterministic Tree-Search Procedures for the Quadratic Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 11(4), pages 358-369, November.
    2. E. de Klerk & R. Sotirov & U. Truetsch, 2015. "A New Semidefinite Programming Relaxation for the Quadratic Assignment Problem and Its Computational Perspectives," INFORMS Journal on Computing, INFORMS, vol. 27(2), pages 378-391, May.
    3. Loiola, Eliane Maria & de Abreu, Nair Maria Maia & Boaventura-Netto, Paulo Oswaldo & Hahn, Peter & Querido, Tania, 2007. "A survey for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 176(2), pages 657-690, January.
    4. Adams, Warren P. & Guignard, Monique & Hahn, Peter M. & Hightower, William L., 2007. "A level-2 reformulation-linearization technique bound for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 180(3), pages 983-996, August.
    5. Ketan Date & Rakesh Nagi, 2019. "Level 2 Reformulation Linearization Technique–Based Parallel Algorithms for Solving Large Quadratic Assignment Problems on Graphics Processing Unit Clusters," INFORMS Journal on Computing, INFORMS, vol. 31(4), pages 771-789, October.
    6. Zvi Drezner & Peter Hahn & Éeric Taillard, 2005. "Recent Advances for the Quadratic Assignment Problem with Special Emphasis on Instances that are Difficult for Meta-Heuristic Methods," Annals of Operations Research, Springer, vol. 139(1), pages 65-94, October.
    7. Hahn, Peter M. & Kim, Bum-Jin & Stutzle, Thomas & Kanthak, Sebastian & Hightower, William L. & Samra, Harvind & Ding, Zhi & Guignard, Monique, 2008. "The quadratic three-dimensional assignment problem: Exact and approximate solution methods," European Journal of Operational Research, Elsevier, vol. 184(2), pages 416-428, January.
    8. Yichuan Ding & Henry Wolkowicz, 2009. "A Low-Dimensional Semidefinite Relaxation for the Quadratic Assignment Problem," Mathematics of Operations Research, INFORMS, vol. 34(4), pages 1008-1022, November.
    9. Hao Hu & Renata Sotirov, 2021. "The linearization problem of a binary quadratic problem and its applications," Annals of Operations Research, Springer, vol. 307(1), pages 229-249, December.
    10. Imai, Akio & Nishimura, Etsuko & Papadimitriou, Stratos, 2003. "Berth allocation with service priority," Transportation Research Part B: Methodological, Elsevier, vol. 37(5), pages 437-457, June.

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