Frameworks and Results in Distributionally Robust Optimization

The concepts of risk aversion, chance-constrained optimization, and robust optimization have developed significantly over the last decade. The statistical learning community has also witnessed a rapid theoretical and applied growth by relying on these concepts. A modeling framework, called distribut...

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Bibliographic Details
Main Authors: Rahimian, Hamed, Mehrotra, Sanjay
Format: Article
Language:English
Published: Université de Montpellier 2022-07-01
Series:Open Journal of Mathematical Optimization
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Online Access:https://ojmo.centre-mersenne.org/articles/10.5802/ojmo.15/
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Summary:The concepts of risk aversion, chance-constrained optimization, and robust optimization have developed significantly over the last decade. The statistical learning community has also witnessed a rapid theoretical and applied growth by relying on these concepts. A modeling framework, called distributionally robust optimization (DRO), has recently received significant attention in both the operations research and statistical learning communities. This paper surveys main concepts and contributions to DRO, and relationships with robust optimization, risk aversion, chance-constrained optimization, and function regularization. Various approaches to model the distributional ambiguity and their calibrations are discussed. The paper also describes the main solution techniques used to the solve the resulting optimization problems.
ISSN:2777-5860