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] A multi-stage stochastic programming model for the unit commitment of conventional and virtual power plants bidding in the day-ahead and ancillary services …

A Fusco, D Gioffrè, AF Castelli, C Bovo, E Martelli - Applied Energy, 2023 - Elsevier
As more uncontrollable renewable energy sources are present in the power generation
portfolio, the need of more detailed and reliable tools for the optimal operation of energy …

Stochastic dual dynamic integer programming

J Zou, S Ahmed, XA Sun - Mathematical Programming, 2019 - Springer
Multistage stochastic integer programming (MSIP) combines the difficulty of uncertainty,
dynamics, and non-convexity, and constitutes a class of extremely challenging problems. A …

[图书][B] Multistage stochastic optimization

GC Pflug, A Pichler - 2014 - Springer
The topic of this book is multistage stochastic optimization. Multistage reflects the fact that an
optimal decision is an entire strategy or policy, which is executed during subsequent instants …

Scenario tree modeling for multistage stochastic programs

H Heitsch, W Römisch - Mathematical Programming, 2009 - Springer
An important issue for solving multistage stochastic programs consists in the approximate
representation of the (multivariate) stochastic input process in the form of a scenario tree. In …

Scenario reduction for futures market trading in electricity markets

JM Morales, S Pineda, AJ Conejo… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
To make informed decisions in futures markets of electric energy, stochastic programming
models are commonly used. Such models treat stochastic processes via a set of scenarios …

Stability of stochastic programming problems

W Römisch - Handbooks in operations research and management …, 2003 - Elsevier
The behaviour of stochastic programming problems is studied in case of the underlying
probability distribution being perturbed and approximated, respectively. Most of the …

A structuring review on multi-stage optimization under uncertainty: Aligning concepts from theory and practice

H Bakker, F Dunke, S Nickel - Omega, 2020 - Elsevier
While methods for optimization under uncertainty have been studied intensely over the past
decades, the explicit consideration of the interplay between uncertainty and time has gained …

Reinforcement learning versus model predictive control: a comparison on a power system problem

D Ernst, M Glavic, F Capitanescu… - IEEE Transactions on …, 2008 - ieeexplore.ieee.org
This paper compares reinforcement learning (RL) with model predictive control (MPC) in a
unified framework and reports experimental results of their application to the synthesis of a …