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 …

Data-driven chance constrained programs over Wasserstein balls

Z Chen, D Kuhn, W Wiesemann - Operations Research, 2024 - pubsonline.informs.org
We provide an exact deterministic reformulation for data-driven, chance-constrained
programs over Wasserstein balls. For individual chance constraints as well as joint chance …

Data-driven stochastic programming using phi-divergences

G Bayraksan, DK Love - The operations research revolution, 2015 - pubsonline.informs.org
Most of classical stochastic programming assumes that the distribution of uncertain
parameters are known, and this distribution is an input to the model. In many applications …

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 …

Distributionally robust learning

R Chen, IC Paschalidis - Foundations and Trends® in …, 2020 - nowpublishers.com
This monograph develops a comprehensive statistical learning framework that is robust to
(distributional) perturbations in the data using Distributionally Robust Optimization (DRO) …

From data to decisions: Distributionally robust optimization is optimal

BPG Van Parys, PM Esfahani… - Management Science, 2021 - pubsonline.informs.org
We study stochastic programs where the decision maker cannot observe the distribution of
the exogenous uncertainties but has access to a finite set of independent samples from this …

Data-driven risk-averse two-stage optimal stochastic scheduling of energy and reserve with correlated wind power

X Xu, Z Yan, M Shahidehpour, Z Li… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
This paper proposes a data-driven optimization method to solve the integrated energy and
reserve dispatch problem with variable and correlated renewable energy generation. The …

[HTML][HTML] Multi-period dynamic distributionally robust pre-positioning of emergency supplies under demand uncertainty

M Yang, Y Liu, G Yang - Applied Mathematical Modelling, 2021 - Elsevier
The pre-positioning problem is an important part of emergency supply. Pre-positioning
decisions must be made before disasters occur under high uncertainty and only limited …