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 …

Wasserstein distributionally robust optimization: Theory and applications in machine learning

D Kuhn, PM Esfahani, VA Nguyen… - … science in the age …, 2019 - pubsonline.informs.org
Many decision problems in science, engineering, and economics are affected by uncertain
parameters whose distribution is only indirectly observable through samples. The goal of …

[图书][B] Lectures on stochastic programming: modeling and theory

This is a substantial revision of the previous edition with added new material. The
presentation of Chapter 6 is updated. In particular the Interchangeability Principle for risk …

[图书][B] Evaluating gas network capacities

T Koch, B Hiller, ME Pfetsch, L Schewe - 2015 - SIAM
Structure of this book and how to read it This book is divided into three parts: Part I
Fundamentals, Part II Validation of nominations, Part III Verification of booked capacities …

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 …

Stochastic optimization with decision-dependent distributions

D Drusvyatskiy, L Xiao - Mathematics of Operations …, 2023 - pubsonline.informs.org
Stochastic optimization problems often involve data distributions that change in reaction to
the decision variables. This is the case, for example, when members of the population …

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 …

Integer programming

HP Williams - Logic and integer programming, 2009 - Springer
In this chapter we begin with a brief explanation of linear programming (LP) since integer
programming (IP) is usually regarded as an extension of LP. Also most practical methods of …

Large-scale unit commitment under uncertainty

M Tahanan, W van Ackooij, A Frangioni, F Lacalandra - 4or, 2015 - Springer
Abstract The Unit Commitment problem in energy management aims at finding the optimal
productions schedule of a set of generation units while meeting various system-wide …