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On Facets of Knapsack Equality Polytopes

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  • E. K. Lee

    (Columbia University)

Abstract

The 0/1 knapsack equality polytope is, by definition, the convex hull of 0/1 solutions of a single linear equation. A special form of this polytope, where the defining linear equation has nonnegative integer coefficients and the number of variables having coefficient one exceeds the right-hand side, is considered. Equality constraints of this form arose in a real-world application of integer programming to a truck dispatching scheduling problem. Families of facet defining inequalities for this polytope are identified, and complete linear inequality representations are obtained for some classes of polytopes.

Suggested Citation

  • E. K. Lee, 1997. "On Facets of Knapsack Equality Polytopes," Journal of Optimization Theory and Applications, Springer, vol. 94(1), pages 223-239, July.
    • Handle: RePEc:spr:joptap:v:94:y:1997:i:1:d:10.1023_a:1022624122832
    DOI: 10.1023/A:1022624122832
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    References listed on IDEAS

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    1. Eitan Zemel, 1989. "Easily Computable Facets of the Knapsack Polytope," Mathematics of Operations Research, INFORMS, vol. 14(4), pages 760-764, November.
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    Cited by:

    1. Christopher Hojny & Tristan Gally & Oliver Habeck & Hendrik Lüthen & Frederic Matter & Marc E. Pfetsch & Andreas Schmitt, 2020. "Knapsack polytopes: a survey," Annals of Operations Research, Springer, vol. 292(1), pages 469-517, September.

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