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Extended Formulations for Column Constrained Orbitopes

In: Operations Research Proceedings 2017

Author

Listed:
  • Christopher Hojny

    (Technische Universität Darmstadt)

  • Marc E. Pfetsch

    (Technische Universität Darmstadt)

  • Andreas Schmitt

    (Technische Universität Darmstadt)

Abstract

In the literature, packing and partitioning orbitopes were discussed to handle symmetries that act on variable matrices in certain binary programs. In this paper, we extend this concept by restrictions on the number of 1-entries in each column. We develop extended formulations of the resulting polytopes and present numerical results that show their effect on the LP relaxation of a graph partitioning problem.

Suggested Citation

  • Christopher Hojny & Marc E. Pfetsch & Andreas Schmitt, 2018. "Extended Formulations for Column Constrained Orbitopes," Operations Research Proceedings, in: Natalia Kliewer & Jan Fabian Ehmke & Ralf Borndörfer (ed.), Operations Research Proceedings 2017, pages 197-203, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-89920-6_28
    DOI: 10.1007/978-3-319-89920-6_28
    as

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