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Computational experience with a bundle approach for semidenfinite cutting plane relaxations of max-cut and equipartition

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  • Fischer, I.
  • Gruber, G.
  • Rendl, F.
  • Sotirov, R.

    (Tilburg University, School of Economics and Management)

Abstract

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  • Fischer, I. & Gruber, G. & Rendl, F. & Sotirov, R., 2006. "Computational experience with a bundle approach for semidenfinite cutting plane relaxations of max-cut and equipartition," Other publications TiSEM 03dfd8c3-9216-4c75-8921-3, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:03dfd8c3-9216-4c75-8921-330189b5402a
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    References listed on IDEAS

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    1. J. L. Goffin & A. Haurie & J. P. Vial, 1992. "Decomposition and Nondifferentiable Optimization with the Projective Algorithm," Management Science, INFORMS, vol. 38(2), pages 284-302, February.
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    Cited by:

    1. Anjos, Miguel F. & Vieira, Manuel V.C., 2017. "Mathematical optimization approaches for facility layout problems: The state-of-the-art and future research directions," European Journal of Operational Research, Elsevier, vol. 261(1), pages 1-16.
    2. Markus Chimani & Philipp Hungerländer, 2013. "Exact Approaches to Multilevel Vertical Orderings," INFORMS Journal on Computing, INFORMS, vol. 25(4), pages 611-624, November.
    3. F. Rendl, 2016. "Semidefinite relaxations for partitioning, assignment and ordering problems," Annals of Operations Research, Springer, vol. 240(1), pages 119-140, May.
    4. Philipp Hungerländer & Franz Rendl, 2013. "A computational study and survey of methods for the single-row facility layout problem," Computational Optimization and Applications, Springer, vol. 55(1), pages 1-20, May.
    5. Timotej Hrga & Janez Povh, 2021. "MADAM: a parallel exact solver for max-cut based on semidefinite programming and ADMM," Computational Optimization and Applications, Springer, vol. 80(2), pages 347-375, November.
    6. Alain Billionnet & Sourour Elloumi & Amélie Lambert & Angelika Wiegele, 2017. "Using a Conic Bundle Method to Accelerate Both Phases of a Quadratic Convex Reformulation," INFORMS Journal on Computing, INFORMS, vol. 29(2), pages 318-331, May.
    7. 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.
    8. Cheng Lu & Zhibin Deng, 2021. "A branch-and-bound algorithm for solving max-k-cut problem," Journal of Global Optimization, Springer, vol. 81(2), pages 367-389, October.
    9. Janez Povh, 2021. "On the Embed and Project Algorithm for the Graph Bandwidth Problem," Mathematics, MDPI, vol. 9(17), pages 1-15, August.
    10. Alexander Engau & Miguel Anjos & Immanuel Bomze, 2013. "Constraint selection in a build-up interior-point cutting-plane method for solving relaxations of the stable-set problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 78(1), pages 35-59, August.

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