Concepedia

Benders Decomposition

Benders Decomposition is a decomposition algorithm in mathematical optimization that separates a complex problem into a master problem and one or more subproblems, distinguishing itself by iteratively generating Benders cuts—valid inequalities derived from dual information of the subproblems—to refine the master problem toward global optimality in large-scale, stochastic, or integer programming contexts.

1.1K

Publications

68.2K

Citations

2.3K

Authors

787

Institutions

Publications per year

2017–2026

491

Variants

Benders' Decomposition

Parents

Publications

1.1K

Adaptive Robust Optimization for the Security Constrained Unit Commitment Problem

Dimitris Bertsimas, Eugene Litvinov, Xu Andy Sun et al. · IEEE Transactions on Power Systems · 2012 · 1.6K citations

, , +15

Security-Constrained Unit Commitment With Volatile Wind Power Generation

Jianhui Wang, Mohammad Shahidehpour, Zuyi Li · IEEE Transactions on Power Systems · 2008 · 920 citations

, , +14

Multicommodity Distribution System Design by Benders Decomposition

Arthur M. Geoffrion, Glenn W. Graves · Management Science · 1974 · 901 citations

, , +17

Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria

Thomas L. Magnanti, Richard T. Wong · Operations Research · 1981 · 722 citations

, , +17

Mixed-integer nonlinear optimization

Pietro Belotti, Christian Kirches, Sven Leyffer et al. · Acta Numerica · 2013 · 688 citations

, , +17

1–5 of 1.1K

Authors

2.3K

  1. MS
    Mohammad Shahidehpour

    Illinois Institute of Technology, United States

    41 publications · 5.1K citations

    33

    h-index

  2. JC
    Jean‐François Cordeau

    HEC Montréal, Canada

    17 publications · 2.1K citations

    16

    h-index

  3. ZH
    Zhu Han

    University of Houston, United States

    13 publications · 544 citations

    13

    h-index

  4. HÜ
    Halit Üster

    Texas A&M University, United States

    12 publications · 877 citations

    12

    h-index

  5. ZL
    Zuyi Li

    Illinois Institute of Technology, United States

    11 publications · 2.5K citations

    11

    h-index

1–5 of 2.3K

Institutions

787

  1. Illinois Institute of Technology

    Chicago, United States

    36 h-index

    86 publications

    12.2K citations

  2. Tsinghua University

    Beijing, China

    26 h-index

    104 publications

    7.1K citations

  3. University of Tehran

    Tehran, Iran

    20 h-index

    42 publications

    2.5K citations

  4. Carnegie Mellon University

    Pittsburgh, United States

    19 h-index

    31 publications

    2.1K citations

  5. HEC Montréal

    Montreal, Canada

    19 h-index

    38 publications

    3.9K citations

  6. University of Toronto

    Toronto, Canada

    18 h-index

    38 publications

    1.9K citations

  7. Polytechnique Montréal

    Montreal, Canada

    17 h-index

    31 publications

    2.2K citations

  8. Shanghai Jiao Tong University

    Shanghai, China

    16 h-index

    31 publications

    1.5K citations

1–8 of 787

Venues

  1. IEEE Transactions on Power Systems

    127 publications · 13.6K citations

    64

    h-index

  2. Transportation Science

    51 publications · 4.1K citations

    37

    h-index

  3. European Journal of Operational Research

    68 publications · 3.5K citations

    36

    h-index

  4. IEEE Transactions on Smart Grid

    28 publications · 2K citations

    24

    h-index

  5. Computers & Operations Research

    32 publications · 1.9K citations

    23

    h-index

1–5