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Bounds for the quadratic assignment problem using the bundle method

Author

Listed:
  • Rendl, F.
  • Sotirov, R.

    (Tilburg University, School of Economics and Management)

Abstract

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Suggested Citation

  • Rendl, F. & Sotirov, R., 2007. "Bounds for the quadratic assignment problem using the bundle method," Other publications TiSEM b6d298bc-77c9-4a6d-a043-5, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:b6d298bc-77c9-4a6d-a043-5b51f659a2a3
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    File URL: https://pure.uvt.nl/ws/portalfiles/portal/771205/Bounds.pdf
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    Citations

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    Cited by:

    1. F. Rendl, 2016. "Semidefinite relaxations for partitioning, assignment and ordering problems," Annals of Operations Research, Springer, vol. 240(1), pages 119-140, May.
    2. de Klerk, E. & Sotirov, R., 2007. "Exploiting Group Symmetry in Semidefinite Programming Relaxations of the Quadratic Assignment Problem," Discussion Paper 2007-44, Tilburg University, Center for Economic Research.
    3. Peter M. Hahn & Yi-Rong Zhu & Monique Guignard & William L. Hightower & Matthew J. Saltzman, 2012. "A Level-3 Reformulation-Linearization Technique-Based Bound for the Quadratic Assignment Problem," INFORMS Journal on Computing, INFORMS, vol. 24(2), pages 202-209, May.
    4. Dobre, C., 2011. "Semidefinite programming approaches for structured combinatorial optimization problems," Other publications TiSEM e1ec09bd-b024-4dec-acad-7, Tilburg University, School of Economics and Management.
    5. van Dam, E.R. & Sotirov, R., 2015. "On bounding the bandwidth of graphs with symmetry," Other publications TiSEM 180849f1-e7d3-44d9-8424-5, Tilburg University, School of Economics and Management.
    6. Naomi Graham & Hao Hu & Jiyoung Im & Xinxin Li & Henry Wolkowicz, 2022. "A Restricted Dual Peaceman-Rachford Splitting Method for a Strengthened DNN Relaxation for QAP," INFORMS Journal on Computing, INFORMS, vol. 34(4), pages 2125-2143, July.
    7. Jiming Peng & Tao Zhu & Hezhi Luo & Kim-Chuan Toh, 2015. "Semi-definite programming relaxation of quadratic assignment problems based on nonredundant matrix splitting," Computational Optimization and Applications, Springer, vol. 60(1), pages 171-198, January.
    8. 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.
    9. N. Ito & S. Kim & M. Kojima & A. Takeda & K.-C. Toh, 2018. "Equivalences and differences in conic relaxations of combinatorial quadratic optimization problems," Journal of Global Optimization, Springer, vol. 72(4), pages 619-653, December.
    10. Alexei Gaivoronski & Abdel Lisser & Rafael Lopez & Hu Xu, 2011. "Knapsack problem with probability constraints," Journal of Global Optimization, Springer, vol. 49(3), pages 397-413, March.
    11. E. R. van Dam & R. Sotirov, 2015. "On Bounding the Bandwidth of Graphs with Symmetry," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 75-88, February.
    12. 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.
    13. 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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