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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. Hugues Marchand & Laurence A. Wolsey, 2001. "Aggregation and Mixed Integer Rounding to Solve MIPs," Operations Research, INFORMS, vol. 49(3), pages 363-371, June.
    2. 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).
    Full references (including those not matched with items on IDEAS)

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