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An Intersection Cut from the Dual of the Unit Hypercube

Author

Listed:
  • Egon Balas

    (Carnegie-Mellon University, Pittsburgh, Pennsylvania)

  • V. Joseph Bowman

    (University of Pittsburgh, Pittsburgh, Pennsylvania)

  • Fred Glover

    (University of Colorado, Boulder, Colorado)

  • David Sommer

    (University of Minnesota, Minneapolis, Minnesota)

Abstract

This note extends the work of Balas (and the related work of Young) on intersection cuts for integer programming. Replacing the Euclidean hypersphere used by Balas with a convex polyhedron dual to the unit hypercube, we obtain a stronger intersection cut.

Suggested Citation

  • Egon Balas & V. Joseph Bowman & Fred Glover & David Sommer, 1971. "An Intersection Cut from the Dual of the Unit Hypercube," Operations Research, INFORMS, vol. 19(1), pages 40-44, February.
    • Handle: RePEc:inm:oropre:v:19:y:1971:i:1:p:40-44
    DOI: 10.1287/opre.19.1.40
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    Cited by:

    1. Egon Balas & Sebastián Ceria & Milind Dawande & Francois Margot & Gábor Pataki, 2001. "Octane: A New Heuristic for Pure 0--1 Programs," Operations Research, INFORMS, vol. 49(2), pages 207-225, April.

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