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Facet separation for disjunctive constraints with network flow representation

Author

Listed:
  • Péter Dobrovoczki

    (HUN-REN Institute for Computer Science and Control
    Eötvös Loránd University)

  • Tamás Kis

    (HUN-REN Institute for Computer Science and Control
    Eötvös Loránd University)

Abstract

We present a novel algorithm for separating facet-inducing inequalities for the convex-hull of the union of polytopes representing a disjunctive constraint of special structure. It is required that the union of polytopes admit a certain network flow representation. The algorithm is based on a new, graph theoretic characterization of the facets of the convex-hull. Moreover, we characterize the family of polytopes that are representable by the networks under consideration. We demonstrate the effectiveness of our approach by computational results on a set of benchmark problems.

Suggested Citation

  • Péter Dobrovoczki & Tamás Kis, 2024. "Facet separation for disjunctive constraints with network flow representation," Annals of Operations Research, Springer, vol. 341(2), pages 825-857, October.
    • Handle: RePEc:spr:annopr:v:341:y:2024:i:2:d:10.1007_s10479-024-06264-2
    DOI: 10.1007/s10479-024-06264-2
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