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 …

[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 …

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 …

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 …

Robust vehicle pre‐allocation with uncertain covariates

Z Hao, L He, Z Hu, J Jiang - Production and Operations …, 2020 - journals.sagepub.com
Motivated by a leading taxi operator in Singapore, we consider the idle vehicle pre‐
allocation problem with uncertain demands and other uncertain covariate information such …

Multistage distributionally robust mixed-integer programming with decision-dependent moment-based ambiguity sets

X Yu, S Shen - Mathematical Programming, 2022 - Springer
We study multistage distributionally robust mixed-integer programs under endogenous
uncertainty, where the probability distribution of stage-wise uncertainty depends on the …

Distributionally robust energy management for islanded microgrids with variable moment information: An MISOCP approach

A Zhou, M Yang, T Wu, L Yang - IEEE Transactions on Smart …, 2023 - ieeexplore.ieee.org
The ever-increasing penetration of renewable energy sources (RESs) has brought
tremendous challenges to power system energy management problems. In this paper, we …

Stochastic optimization approaches for elective surgery scheduling with downstream capacity constraints: Models, challenges, and opportunities

KS Shehadeh, R Padman - Computers & Operations Research, 2022 - Elsevier
Elective surgery patients have surgery in the operating room (OR), and then recover in one
or more downstream recovery units for several consecutive hours or days after surgery …