Concepedia

Polyhedral Uncertainty Sets

Polyhedral Uncertainty Sets is a type of uncertainty set in optimization under uncertainty that belongs to the class of geometrically defined feasible regions, distinguished by its representation as a convex polyhedron described by a finite system of linear inequalities, thereby modeling uncertain parameters within bounded, piecewise-linear constraints.

86

Publications

4K

Citations

193

Authors

113

Institutions

Publications per year

2017–2026

46

Parents

Publications

86

Constructing Uncertainty Sets for Robust Linear Optimization

Dimitris Bertsimas, David B. Brown · Operations Research · 2009 · 344 citations

, , +17

A Comparative Theoretical and Computational Study on Robust Counterpart Optimization: I. Robust Linear Optimization and Robust Mixed Integer Linear Optimization

Zukui Li, Ran Ding, Christodoulos A. Floudas · Industrial & Engineering Chemistry Research · 2011 · 257 citations

, , +17

Two-Stage Robust Generation Expansion Planning: A Mixed Integer Linear Programming Model

Shahab Dehghan, Nima Amjady, A. Kazemi · IEEE Transactions on Power Systems · 2013 · 153 citations

, , +16

RCMARS: Robustification of CMARS with different scenarios under polyhedral uncertainty set

Ayşe Özmen, Gerhard‐Wilhelm Weber, İnci Batmaz et al. · Communications in Nonlinear Science and Numerical Simulation · 2011 · 137 citations · Full text

, , +13

Robust Linear Optimization With Recourse

Tara Terry, Marina A. Epelman · 2009 · 129 citations

, , +15

1–5 of 86

Authors

193

  1. NA
    Nima Amjady

    Semnan University, Iran

    5 publications · 398 citations

    7

    h-index

  2. SD
    Shahab Dehghan

    Semnan University, Iran

    5 publications · 400 citations

    6

    h-index

  3. MA
    Mehrdad Aghamohamadi

    Flinders University, Australia

    4 publications · 174 citations

    4

    h-index

  4. AA
    Ahmad Attarha

    Australian National University, Australia

    3 publications · 214 citations

    3

    h-index

  5. DB
    Dimitris Bertsimas

    Massachusetts Institute of Technology, United States

    3 publications · 439 citations

    3

    h-index

1–5 of 193

Institutions

113

  1. Semnan University

    Semnan, Iran

    7 h-index

    9 publications

    635 citations

  2. Massachusetts Institute of Technology

    Cambridge, United States

    7 h-index

    11 publications

    803 citations

  3. Qazvin Islamic Azad University

    Qazvin, Iran

    5 h-index

    4 publications

    230 citations

  4. Lehigh University

    Bethlehem, United States

    3 h-index

    3 publications

    102 citations

  5. Princeton University

    Princeton, United States

    3 h-index

    7 publications

    1.1K citations

  6. University of South Australia

    Adelaide, Australia

    3 h-index

    3 publications

    151 citations

  7. Google (United States)

    Mountain View, United States

    3 h-index

    4 publications

    253 citations

  8. Flinders University

    Adelaide, Australia

    3 h-index

    6 publications

    302 citations

1–8 of 113

Venues

  1. IEEE Transactions on Smart Grid

    5 publications · 300 citations

    5

    h-index

  2. Operations Research

    5 publications · 612 citations

    5

    h-index

  3. Industrial & Engineering Chemistry Research

    4 publications · 405 citations

    4

    h-index

  4. 3

    h-index

  5. Computers & Industrial Engineering

    3 publications · 138 citations

    3

    h-index

1–5