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(1,k)-configurations and facets for packing problems

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Abstract

A new class of facets for knapsack polytopes is obtained. This class of inequalities is shown to define a polytope with zero–one vertices only. A combinatorial inequality is obtained from Fulkerson's max—max inequality.

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References

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Padberg, M.W. (1,k)-configurations and facets for packing problems. Mathematical Programming 18, 94–99 (1980). https://doi.org/10.1007/BF01588301

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  • DOI: https://doi.org/10.1007/BF01588301

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