Statistics of robust optimization: A generalized empirical likelihood approach

JC Duchi, PW Glynn… - Mathematics of Operations …, 2021 - pubsonline.informs.org
We study statistical inference and distributionally robust solution methods for stochastic
optimization problems, focusing on confidence intervals for optimal values and solutions that …

[HTML][HTML] Distributionally robust optimization: A review on theory and applications

F Lin, X Fang, Z Gao - Numerical Algebra, Control and Optimization, 2022 - aimsciences.org
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 …

Data-driven robust optimization

D Bertsimas, V Gupta, N Kallus - Mathematical Programming, 2018 - Springer
The last decade witnessed an explosion in the availability of data for operations research
applications. Motivated by this growing availability, we propose a novel schema for utilizing …

Conic programming reformulations of two-stage distributionally robust linear programs over Wasserstein balls

GA Hanasusanto, D Kuhn - Operations Research, 2018 - pubsonline.informs.org
Adaptive robust optimization problems are usually solved approximately by restricting the
adaptive decisions to simple parametric decision rules. However, the corresponding …

Data-based distributionally robust stochastic optimal power flow—Part I: Methodologies

Y Guo, K Baker, E Dall'Anese, Z Hu… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
We propose a data-based method to solve a multi-stage stochastic optimal power flow (OPF)
problem based on limited information about forecast error distributions. The framework …