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Symmetry Breaking Inequalities from the Schreier-Sims Table

  • Domenico Salvagnin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10848)

Abstract

We propose a way to derive symmetry breaking inequalities for a mixed-integer programming (MIP) model from the Schreier-Sims table of its formulation group. We then show how to consider only the action of the formulation group onto a subset of the variables. Computational results show that this can lead to considerable speedups on some classes of models.

Notes

Acknowledgements

The author would like to thank Jean-François Puget for an inspiring discussion about the Schreier-Sims table, and three anonymous reviewers for their careful reading and constructive comments.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Information Engineering (DEI)University of PadovaPaduaItaly

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