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 …

Optimization under uncertainty in the era of big data and deep learning: When machine learning meets mathematical programming

C Ning, F You - Computers & Chemical Engineering, 2019 - Elsevier
This paper reviews recent advances in the field of optimization under uncertainty via a
modern data lens, highlights key research challenges and promise of data-driven …

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 …

On distributionally robust chance constrained programs with Wasserstein distance

W Xie - Mathematical Programming, 2021 - Springer
This paper studies a distributionally robust chance constrained program (DRCCP) with
Wasserstein ambiguity set, where the uncertain constraints should be satisfied with a …

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 robust optimization based on kernel learning

C Shang, X Huang, F You - Computers & Chemical Engineering, 2017 - Elsevier
We propose piecewise linear kernel-based support vector clustering (SVC) as a new
approach tailored to data-driven robust optimization. By solving a quadratic program, the …

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 chance constrained optimal power flow with renewables: A conic reformulation

W Xie, S Ahmed - IEEE Transactions on Power Systems, 2017 - ieeexplore.ieee.org
The uncertainty associated with renewable energy sources introduces significant challenges
in optimal power flow (OPF) analysis. A variety of new approaches have been proposed that …

Distributionally robust optimization for planning and scheduling under uncertainty

C Shang, F You - Computers & Chemical Engineering, 2018 - Elsevier
Distributionally robust optimization (DRO) is an emerging and effective method to address
the inexactness of probability distributions of uncertain parameters in decision-making under …

Distributionally robust optimization of an emergency medical service station location and sizing problem with joint chance constraints

K Liu, Q Li, ZH Zhang - Transportation research part B: methodological, 2019 - Elsevier
Abstract An effective Emergency Medical Service (EMS) system can provide medical relief
supplies for common emergencies (fire, accident, etc.) or large-scale disasters (earthquake …