Concepedia

Benson's Algorithm

Benson's Algorithm is a computational method in multi-objective optimization that, as a variant of outer approximation algorithms, generates the Pareto frontier for linear vector optimization problems by iteratively refining a polyhedral approximation through dual simplex and cutting plane techniques.

19

Publications

1K

Citations

37

Authors

29

Institutions

Publications per year

2017–2026

3

Parents

Publications

19

Generalized Inverse Multiobjective Optimization with Application to Cancer Therapy

Timothy C. Y. Chan, Tim Craig, Taewoo Lee et al. · Operations Research · 2014 · 124 citations · Full text

, , +14

Benson Proper Efficiency in the Vector Optimization of Set-Valued Maps

Z. F. Li · Journal of Optimization Theory and Applications · 1998 · 88 citations

, , +11

An approximation algorithm for convex multi-objective programming problems

Matthias Ehrgott, Lizhen Shao, Anita Schöbel · Journal of Global Optimization · 2010 · 87 citations · Full text

, , +12

A survey of multi-objective optimization methods and their applications for nuclear scientists and engineers

Ryan Stewart, Todd S. Palmer, Bryony DuPont · Progress in Nuclear Energy · 2021 · 78 citations

, , +14

A dual variant of Benson’s “outer approximation algorithm” for multiple objective linear programming

Matthias Ehrgott, Andreas Löhne, Lizhen Shao · Journal of Global Optimization · 2011 · 75 citations

, , +13

1–5 of 19

Authors

37

  1. LS
    Lizhen Shao

    University of Science and Technology Beijing, China

    4 publications · 211 citations

    4

    h-index

  2. ME
    Matthias Ehrgott

    University of Auckland, New Zealand

    4 publications · 211 citations

    4

    h-index

  3. AL
    Andreas Löhne

    Martin Luther University Halle-Wittenberg, Germany

    3 publications · 120 citations

    3

    h-index

  4. CA
    Christiane Aubry

    University of Ottawa, Canada

    2 publications · 108 citations

    2

    h-index

  5. BD
    Bryony DuPont

    Oregon State University, United States

    1 publications · 78 citations

    1

    h-index

1–5 of 37

Institutions

29

  1. University of Science and Technology Beijing

    Beijing, China

    3 h-index

    3 publications

    188 citations

  2. Inner Mongolia University

    Hohhot, China

    2 h-index

    2 publications

    144 citations

  3. Academy of Mathematics and Systems Science

    Beijing, China

    2 h-index

    2 publications

    71 citations

  4. Martin Luther University Halle-Wittenberg

    Halle, Germany

    2 h-index

    2 publications

    128 citations

  5. University of Ottawa

    Ottawa, Canada

    2 h-index

    4 publications

    216 citations

  6. University of Auckland

    Auckland, New Zealand

    2 h-index

    2 publications

    162 citations

  7. University of Southampton

    Southampton, United Kingdom

    1 h-index

    2 publications

    44 citations

  8. Universidade Federal da Bahia

    Salvador, Brazil

    1 h-index

    1 publications

    69 citations

1–8 of 29

Venues

  1. 3

    h-index

  2. Journal of Global Optimization

    3 publications · 215 citations

    3

    h-index

  3. The Journal of Physical Chemistry A

    2 publications · 108 citations

    2

    h-index

  4. Optimization

    2 publications · 41 citations

    2

    h-index

  5. Progress in Nuclear Energy

    1 publications · 78 citations

    1

    h-index

1–5