Open Access

Fengming Lin, X. Fang, Zheming Gao

2022Numerical Algebra Control and Optimization

DOI: 10.3934/naco.2021057

tlooto Summary

This paper starts with reviewing the modeling power and computational attractiveness of DRO approaches, induced by the ambiguity sets structure and tractable robust counterpart reformulations, and summarizes the efficient solution methods, out-of-sample performance guarantee, and convergence analysis.

Abstract

In this paper, we survey the primary research on the theory and applications of distributionally robust optimization (DRO). We start with reviewing the modeling power and computational attractiveness of DRO approaches, induced by the ambiguity sets structure and tractable robust counterpart reformulations. Next, we summarize the efficient solution methods, out-of-sample performance guarantee, and convergence analysis. Then, we illustrate some applications of DRO in machine learning and operations research, and finally, we discuss the future research directions.

Citation format

LIN, Fengming; FANG, X.; GAO, Zheming. Distributionally robust optimization: A review on theory and applications. Numerical Algebra Control and Optimization, 2022.