A unified framework for symmetry handling

M.J. van Doornmalen (Corresponding author), Christopher Hojny

Research output: Contribution to journalArticleAcademicpeer-review


Handling symmetries in optimization problems is essential for devising efficient solution methods. In this article, we present a general framework that captures many of the already existing symmetry handling methods. While these methods are mostly discussed independently from each other, our framework allows to apply different methods simultaneously and thus outperforming their individual effect. Moreover, most existing symmetry handling methods only apply to binary variables. Our framework allows to easily generalize these methods to general variable types. Numerical experiments confirm that our novel framework is superior to the state-of-the-art symmetry handling methods as implemented in the solver SCIP on a broad set of instances.
Original languageEnglish
JournalMathematical Programming
Issue numberX
Publication statusE-pub ahead of print - 4 Jun 2024


  • 90C10
  • 90C11
  • Branch-and-bound
  • Integer programming
  • Lexicographic order
  • Propagation
  • Symmetries


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