Face Dimensions of General-Purpose Cutting Planes for Mixed-Integer Linear Programs

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Cutting planes are a key ingredient to successfully solve mixed-integer linear programs. For specific problems, their strength is often theoretically assessed by showing that they are facet-defining for the corresponding mixed-integer hull. In this paper we experimentally investigate the dimensions of faces induced by general-purpose cutting planes generated by a state-of-the-art solver. Therefore, we relate the dimension of each cutting plane to its impact in a branch-and-bound algorithm.
Original languageEnglish
Number of pages12
Publication statusPublished - 11 Nov 2020


  • cs.DM
  • math.OC
  • 90C11
  • G.2.0

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