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Minimal inequalities

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Abstract

We provide a characterization of minimal inequalities for bounded mixed integer programs, in terms of subadditive functions. The condition on the columns of the integer-constrained variables is analogous to that obtained earlier for the group problem, and we also determine the condition on the columns of the continuous variables.

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The research reported here was done at Carnegie-Mellon University.

The report was prepared as part of the activities of the Management Sciences Research Group, Carnegie-Mellon University, under Contract N00014-67-A-0314-0007 NR 047-048 with U.S. Office of Naval Research. Reproduction in whole or in part is permitted for any purpose of the U.S. Government.

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Jeroslow, R.G. Minimal inequalities. Mathematical Programming 17, 1–15 (1979). https://doi.org/10.1007/BF01588222

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  • DOI: https://doi.org/10.1007/BF01588222

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