articleActa NumericaJul 1, 2025HYBRID OA

Distributionally robust optimization

École Polytechnique Fédérale de Lausanne · Cornell University · +1 more institution

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Abstract

Distributionally robust optimization (DRO) studies decision problems under uncertainty where the probability distribution governing the uncertain problem parameters is itself uncertain. A key component of any DRO model is its ambiguity set, that is, a family of probability distributions consistent with any available structural or statistical information. DRO seeks decisions that perform best under the worst distribution in the ambiguity set. This worst case criterion is supported by findings in psychology and neuroscience, which indicate that many decision-makers have a low tolerance for distributional ambiguity. DRO is rooted in statistics, operations research and control theory, and recent research has…

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Keywords
  • Computer science
  • Robust optimization
  • Mathematical optimization
  • Mathematics
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