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A Facet Generation Procedure for Solving 0/1 Integer Programs

Author

Listed:
  • Gyana Parija

    (IBM Corporation, Poughkeepsie, New York 12601)

  • Radu Gadidov

    (Emery Worldwide Airlines, Vandalia, Ohio 45377)

  • Wilbert Wilhelm

    (Texas A&M University, College Station, Texas 77843-3131)

Abstract

This paper presents the Facet Generation Procedure (FGP) for solving 0/1 integer programs. The FGP seeks to identify a hyperplane that represents a facet of an underlying polytope to cut off the fractional solution to the linear programming relaxation of the integer programming problem. A set of standard problems is used to provide insight into the computational characteristics of the procedure.

Suggested Citation

  • Gyana Parija & Radu Gadidov & Wilbert Wilhelm, 1999. "A Facet Generation Procedure for Solving 0/1 Integer Programs," Operations Research, INFORMS, vol. 47(5), pages 789-791, October.
    • Handle: RePEc:inm:oropre:v:47:y:1999:i:5:p:789-791
    DOI: 10.1287/opre.47.5.789
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    References listed on IDEAS

    as
    1. Egon Balas & Clarence H. Martin, 1980. "Pivot and Complement--A Heuristic for 0-1 Programming," Management Science, INFORMS, vol. 26(1), pages 86-96, January.
    2. E. Andrew Boyd, 1994. "Fenchel Cutting Planes for Integer Programs," Operations Research, INFORMS, vol. 42(1), pages 53-64, February.
    3. Harlan Crowder & Ellis L. Johnson & Manfred Padberg, 1983. "Solving Large-Scale Zero-One Linear Programming Problems," Operations Research, INFORMS, vol. 31(5), pages 803-834, October.
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    Cited by:

    1. Wilbert E. Wilhelm & Radu Gadidov, 2004. "A Branch-and-Cut Approach for a Generic Multiple-Product, Assembly-System Design Problem," INFORMS Journal on Computing, INFORMS, vol. 16(1), pages 39-55, February.

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