[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 …

Chance-constrained optimization under limited distributional information: A review of reformulations based on sampling and distributional robustness

S Küçükyavuz, R Jiang - EURO Journal on Computational Optimization, 2022 - Elsevier
Chance-constrained programming (CCP) is one of the most difficult classes of optimization
problems that has attracted the attention of researchers since the 1950s. In this survey, we …

Distributionally robust chance-constrained optimal power flow with uncertain renewables and uncertain reserves provided by loads

Y Zhang, S Shen, JL Mathieu - IEEE Transactions on Power …, 2016 - ieeexplore.ieee.org
Aggregations of electric loads can provide reserves to power systems, but their available
reserve capacities are time-varying and not perfectly known when the system operator …

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 …

A data-enhanced distributionally robust optimization method for economic dispatch of integrated electricity and natural gas systems with wind uncertainty

B Zhao, T Qian, W Tang, Q Liang - Energy, 2022 - Elsevier
With growing penetrations of wind power in electricity systems, the coordinated dispatch of
integrated electricity and natural gas systems is becoming a popular research topic …

Distributionally robust chance-constrained generation expansion planning

F Pourahmadi, J Kazempour… - … on Power Systems, 2019 - ieeexplore.ieee.org
This article addresses a centralized generation expansion planning problem, accounting for
both long-and short-term uncertainties. The long-term uncertainty (demand growth) is …

Matheuristics for mixed-model assembly line balancing problem with fuzzy stochastic processing time

TTM Anh, N Van Hop - Applied Soft Computing, 2024 - Elsevier
Our work aims to investigate methods for solving the mixed-model assembly line balancing
problem (MALBP) under uncertainty with the objective of minimizing the number of …

Optimized Bonferroni approximations of distributionally robust joint chance constraints

W **e, S Ahmed, R Jiang - Mathematical Programming, 2022 - Springer
A distributionally robust joint chance constraint involves a set of uncertain linear inequalities
which can be violated up to a given probability threshold ϵ ϵ, over a given family of …

Ambiguous risk constraints with moment and unimodality information

B Li, R Jiang, JL Mathieu - Mathematical Programming, 2019 - Springer
Optimization problems face random constraint violations when uncertainty arises in
constraint parameters. Effective ways of controlling such violations include risk constraints …

Ambiguous chance-constrained binary programs under mean-covariance information

Y Zhang, R Jiang, S Shen - SIAM Journal on Optimization, 2018 - SIAM
We consider chance-constrained binary programs, where each row of the inequalities that
involve uncertainty needs to be satisfied probabilistically. Only the information of the mean …