Risk-adaptive approaches to stochastic optimization: A survey

JO Royset - SIAM Review, 2025 - SIAM
Uncertainty is prevalent in engineering design and data-driven problems and, more broadly,
in decision making. Due to inherent risk-averseness and ambiguity about assumptions, it is …

Distributionally robust optimization with matrix moment constraints: Lagrange duality and cutting plane methods

H Xu, Y Liu, H Sun - Mathematical programming, 2018 - Springer
A key step in solving minimax distributionally robust optimization (DRO) problems is to
reformulate the inner maximization wrt probability measure as a semiinfinite programming …

Discrete approximation of two-stage stochastic and distributionally robust linear complementarity problems

X Chen, H Sun, H Xu - Mathematical Programming, 2019 - Springer
In this paper, we propose a discretization scheme for the two-stage stochastic linear
complementarity problem (LCP) where the underlying random data are continuously …

Risk-aware battery bidding with a novel benchmark selection under second-order stochastic dominance

H Khaloie, J Faraji, F Vallée, CS Lai… - IEEE Transactions …, 2023 - ieeexplore.ieee.org
This paper studies the risk management of a battery bidding in both day-ahead and intraday
markets arising from the uncertain nature of electricity prices. To this end, a coherent risk …

Risk-adaptive approaches to learning and decision making: A survey

JO Royset - arxiv preprint arxiv:2212.00856, 2022 - arxiv.org
Uncertainty is prevalent in engineering design, statistical learning, and decision making
broadly. Due to inherent risk-averseness and ambiguity about assumptions, it is common to …

A vehicle routing problem with distribution uncertainty in deadlines

D Zhang, D Li, H Sun, L Hou - European Journal of Operational Research, 2021 - Elsevier
This article considers a stochastic vehicle routing problem with probability constraints. The
probability that customers are served before their (uncertain) deadlines must be higher than …

[HTML][HTML] Minimax decision rules for planning under uncertainty: Drawbacks and remedies

E Anderson, S Zachary - European Journal of Operational Research, 2023 - Elsevier
It is common to use minimax rules to make planning decisions when there is great
uncertainty about what may happen in the future. Using minimax rules avoids the need to …

Discrete approximation and quantification in distributionally robust optimization

Y Liu, A Pichler, H Xu - Mathematics of Operations Research, 2019 - pubsonline.informs.org
Discrete approximation of probability distributions is an important topic in stochastic
programming. In this paper, we extend the research on this topic to distributionally robust …

A distributionally robust optimization approach for two-stage facility location problems

A Gourtani, TD Nguyen, H Xu - EURO journal on computational …, 2020 - Springer
In this paper, we consider a facility location problem where customer demand constitutes
considerable uncertainty, and where complete information on the distribution of the …

Sample average approximation of conditional value-at-risk based variational inequalities

A Cherukuri - Optimization Letters, 2024 - Springer
This paper focuses on a class of variational inequalities (VIs), where the map defining the VI
is given by the component-wise conditional value-at-risk (CVaR) of a random function. We …