Cited by 1,409Risk and Portfolio OptimizationAdvanced Optimization Algorithms ResearchStability and Control of Uncertain Systems

Robust optimization ? methodology and applications

Ben-Tal, Aharon, Nemirovski, Arkadi·2002·Mathematical Programming

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Crossref · 10.1007/s101070100286

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  • The bounded uncertainty and its associated worst-case action selection may lead to too conservative solution.

    “The bounded uncertainty and its associated worst-case action selection may lead to too conservative solution (see Chapter 2 of [29]).”
  • Robust optimization is a two-stage optimization problem where the inner level minimizes the objective function and the outer level maximizes the inner-optimization within an uncertainty set.

    “Robust optimization is a two-stage optimization problem where the inner level minimizes the objective function and the outer level maximizes the inner-optimization within an uncertainty set [22]-[24], [29].”

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Authors
Ben-Tal, A., & Nemirovski, A.
Affiliations
Technion – Israel Institute of Technology (IL)
Venue
Mathematical Programming
Published
2002-05-01
Volume
92
Issue
3
Pages
453-480
ISSN
  • 0025-5610 (ISSN-L)
  • 1436-4646
OpenAlex
W2006093909
Cited by
1,409
References
0
Citations by year
2026: 61 · 2025: 62 · 2024: 66 · 2023: 77 · 2022: 76 · 2021: 60 · 2020: 71 · 2019: 83 · 2018: 79 · 2017: 100 · 2016: 67 · 2015: 64 · 2014: 81 · 2013: 81 · 2012: 73
FWCI
12.62
Type
journal article
Language
en
Open access
closed
Locations
Mathematical Programming (publishedVersion)
Topics
  • Social Sciences › Decision Sciences › Management Science and Operations Research › Risk and Portfolio Optimization
  • Physical Sciences › Mathematics › Numerical Analysis › Advanced Optimization Algorithms Research
  • Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
Keywords
robust optimization, uncertainty sets, robust counterpart, semidefinite programming, antenna design, stability analysis, uncertain dynamical systems, data perturbation, feasibility

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