Distributionally robust optimization: A review

H Rahimian, S Mehrotra - arxiv preprint arxiv:1908.05659, 2019 - arxiv.org
The concepts of risk-aversion, chance-constrained optimization, and robust optimization
have developed significantly over the last decade. Statistical learning community has also …

Frameworks and results in distributionally robust optimization

H Rahimian, S Mehrotra - Open Journal of Mathematical Optimization, 2022 - numdam.org
The concepts of risk aversion, chance-constrained optimization, and robust optimization
have developed significantly over the last decade. The statistical learning community has …

[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 …

Finite-sample guarantees for Wasserstein distributionally robust optimization: Breaking the curse of dimensionality

R Gao - Operations Research, 2023 - pubsonline.informs.org
Wasserstein distributionally robust optimization (DRO) aims to find robust and generalizable
solutions by hedging against data perturbations in Wasserstein distance. Despite its recent …

Humanitarian transportation network design via two-stage distributionally robust optimization

G Zhang, N Jia, N Zhu, L He, Y Adulyasak - Transportation Research Part B …, 2023 - Elsevier
Natural disasters are highly unpredictable, with varying degrees of magnitude, and thus
require a reliable and robust humanitarian relief network. Faced with the adverse effects of …

Data-driven distributionally robust capacitated facility location problem

A Saif, E Delage - European Journal of Operational Research, 2021 - Elsevier
We study a distributionally robust version of the classical capacitated facility location
problem with a distributional ambiguity set defined as a Wasserstein ball around an …

Sinkhorn distributionally robust optimization

J Wang, R Gao, Y **e - arxiv preprint arxiv:2109.11926, 2021 - arxiv.org
We study distributionally robust optimization (DRO) with Sinkhorn distance--a variant of
Wasserstein distance based on entropic regularization. We derive convex programming …

Wasserstein distributionally robust optimization and variation regularization

R Gao, X Chen, AJ Kleywegt - Operations Research, 2024 - pubsonline.informs.org
Wasserstein distributionally robust optimization (DRO) is an approach to optimization under
uncertainty in which the decision maker hedges against a set of probability distributions …

Optimal transport-based distributionally robust optimization: Structural properties and iterative schemes

J Blanchet, K Murthy, F Zhang - Mathematics of Operations …, 2022 - pubsonline.informs.org
We consider optimal transport-based distributionally robust optimization (DRO) problems
with locally strongly convex transport cost functions and affine decision rules. Under …

Distributionally robust two-stage stochastic programming

D Duque, S Mehrotra, DP Morton - SIAM Journal on Optimization, 2022 - SIAM
Distributionally robust optimization is a popular modeling paradigm in which the underlying
distribution of the random parameters in a stochastic optimization model is unknown …