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Measuring the Impact of Branching Rules for Mixed-Integer Programming

In: Operations Research Proceedings 2017

Author

Listed:
  • Gerald Gamrath

    (Zuse Institute Berlin)

  • Christoph Schubert

    (Zuse Institute Berlin)

Abstract

Branching rules are an integral component of the branch-and-bound algorithm typically used to solve mixed-integer programs and subject to intense research. Different approaches for branching are typically compared based on the solving time as well as the size of the branch-and-bound tree needed to prove optimality. The latter, however, has some flaws when it comes to sophisticated branching rules that do not only try to take a good branching decision, but have additional side-effects. We propose a new measure for the quality of a branching rule that distinguishes tree size reductions obtained by better branching decisions from those obtained by such side-effects. It is evaluated for common branching rules providing new insights in the importance of strong branching.

Suggested Citation

  • Gerald Gamrath & Christoph Schubert, 2018. "Measuring the Impact of Branching Rules for Mixed-Integer Programming," Operations Research Proceedings, in: Natalia Kliewer & Jan Fabian Ehmke & Ralf Borndörfer (ed.), Operations Research Proceedings 2017, pages 165-170, Springer.
    • Handle: RePEc:spr:oprchp:978-3-319-89920-6_23
    DOI: 10.1007/978-3-319-89920-6_23
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