Three kinds of integer programming algorithms based on Barvinok's rational functions

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Abstract

This paper presents three kinds of algebraic-analytic algorithms for solving integer and mixed integer programming problems. We report both theoretical and experimental results. We use the generating function techniques introduced by A. Barvinok. © Springer-Verlag Berlin Heidelberg 2004.

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De Loera, J. A., Haws, D., Hemmecke, R., Huggins, P., & Yoshida, R. (2004). Three kinds of integer programming algorithms based on Barvinok’s rational functions. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 3064, 244–255. https://doi.org/10.1007/978-3-540-25960-2_19

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