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Cutting Planes from the Branch-and-Bound Tree: Challenges and Opportunities

Author

Listed:
  • Claudio Contardo

    (IBM Canada Laboratory, Toronto, Ontario L6G 1C7, Canada)

  • Andrea Lodi

    (Jacobs Technion-Cornell Institute, Cornell Tech and Technion, Israel Institute of Technology, New York, New York 10044)

  • Andrea Tramontani

    (FICO Xpress Optimization, FICO Italy, Milan 20123, Italy)

Abstract

In this short paper, we argue that the standard approach adopted by modern mixed-integer linear programming solvers of using very little cutting plane generation in the branch-and-bound tree can be too conservative and lead to the loss of significant opportunities. Our observation is motivated by some relatively simple computational investigation on a couple of instances in the MIPlib 2010 collection for which the benefit of generating globally valid cuts in the tree is significant.

Suggested Citation

  • Claudio Contardo & Andrea Lodi & Andrea Tramontani, 2023. "Cutting Planes from the Branch-and-Bound Tree: Challenges and Opportunities," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 2-4, January.
    • Handle: RePEc:inm:orijoc:v:35:y:2023:i:1:p:2-4
    DOI: 10.1287/ijoc.2022.1248
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    References listed on IDEAS

    as
    1. MARCHAND, Hugues & WOLSEY, Laurence A., 2001. "Aggregation and mixed integer rounding to solve mips," LIDAM Reprints CORE 1513, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Hugues Marchand & Laurence A. Wolsey, 2001. "Aggregation and Mixed Integer Rounding to Solve MIPs," Operations Research, INFORMS, vol. 49(3), pages 363-371, June.
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