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Day-ahead scheduling of electricity generation or unit commitment is an important and challenging optimization problem in power systems. Variability in net load arising from the increasing penetration of renewable technologies have…

最优化与控制 · 数学 2018-08-06 Ali Irfan Mahmutogullari , Shabbir Ahmed , Ozlem Cavus , M. Selim Akturk

This paper proposes a reformulation of the scenario-based two-stage unit commitment problem under uncertainty that allows finding unit-commitment plans that perform reasonably well both in expectation and for the worst case realization of…

最优化与控制 · 数学 2016-06-21 Ignacio Blanco , Juan M. Morales

In this paper we introduce a continuous time multi stage stochastic optimization for scheduling generating units, their commitment, reserve capacities and their continuous time generation profiles in the day-ahead wholesale electricity…

最优化与控制 · 数学 2018-03-21 Kári Hreinsson , Bita Analui , Anna Scaglione

This paper introduces a multi-timescale stochastic programming framework designed to address decision-making challenges in power systems, particularly those with high renewable energy penetration. The framework models interactions across…

最优化与控制 · 数学 2025-08-13 Yihang Zhang , Suvrajeet Sen

Multi-stage stochastic optimization lies at the core of decision-making under uncertainty. As the analytical solution is available only in exceptional cases, dynamic optimization aims to efficiently find approximations but often neglects…

最优化与控制 · 数学 2025-08-26 Anna Timonina-Farkas

The most common approaches for solving multistage stochastic programming problems in the research literature have been to either use value functions ("dynamic programming") or scenario trees ("stochastic programming") to approximate the…

最优化与控制 · 数学 2022-01-04 Warren B Powell , Saeed Ghadimi

Most decision-focused learning work has focused on single stage problems whereas many real-world decision problems are more appropriately modelled using multistage optimisation. In multistage problems contextual information is revealed over…

最优化与控制 · 数学 2025-05-29 Egon Peršak , Miguel F. Anjos

This paper introduces a node formulation for multistage stochastic programs with endogenous (i.e., decision-dependent) uncertainty. Problems with such structure arise when the choices of the decision maker determine a change in the…

最优化与控制 · 数学 2021-03-05 Giovanni Pantuso

The two-stage stochastic unit commitment problem has become an important tool to support decision-making under uncertainty in power systems. Representing the uncertainty by a large number of scenarios guarantees accurate results but…

最优化与控制 · 数学 2025-12-23 Yannick Werner , Juan Miguel Morales , Salvador Pineda , Line Roald , Sonja Wogrin

Multi-stage stochastic programming is a well-established framework for sequential decision making under uncertainty by seeking policies that are fully adapted to the uncertainty. Often such flexible policies are not desirable, and the…

最优化与控制 · 数学 2024-08-06 Beste Basciftci , Shabbir Ahmed , Nagi Gebraeel

The deep penetration of wind and solar power is a critical component of the future power grid. However, the intermittency and stochasticity of these renewable resources bring significant challenges to the reliable and economic operation of…

最优化与控制 · 数学 2016-08-11 Alvaro Lorca , Xu Andy Sun

Multi-stage financial decision optimization under uncertainty depends on a careful numerical approximation of the underlying stochastic process, which describes the future returns of the selected assets or asset categories. Various…

神经与进化计算 · 计算机科学 2010-04-27 Ronald Hochreiter

Multistage stochastic programming is a powerful tool allowing decision-makers to revise their decisions at each stage based on the realized uncertainty. However, in practice, organizations are not able to be fully flexible, as decisions…

最优化与控制 · 数学 2024-01-17 Sezen Ece Kayacık , Beste Basciftci , Albert H Schrotenboer , Evrim Ursavas

Decisions for a variable renewable resource generators commitment in the energy market are typically made in advance when little information is obtainable about wind availability and market prices. Much research has been published…

最优化与控制 · 数学 2021-03-09 Razan A. H. Al-Lawati , Jose L. Crespo-Vazquez , Tasnim Ibn Faiz , Xin Fang , Md. Noor-E-Alam

We propose a hybrid algorithmic strategy for complex stochastic optimization problems, which combines the use of scenario trees from multistage stochastic programming with machine learning techniques for learning a policy in the form of a…

最优化与控制 · 数学 2019-10-25 Boris Defourny , Damien Ernst , Louis Wehenkel

Unit maintenance and unit commitment are two critical and interrelated aspects of electric power system operation, both of which face the challenge of coordinating efforts to enhance reliability and economic performance. This challenge…

系统与控制 · 电气工程与系统科学 2024-12-03 Hongrui Lu , Yuxiong Huang , Tong He , Gengfeng Li

We study the multi-stage stochastic unit commitment problem in which commitment and generation decisions can be made and adjusted in each time period. We formulate this problem as a Markov decision process, which is "weakly-coupled" in the…

最优化与控制 · 数学 2018-06-25 Jagdish Ramakrishnan , James Luedtke

Optimization models have been broadly used within side the energy industry as useful decision-making systems for scheduling and dispatching electric powered energy resources; this is applied in a system called unit commitment (UC). Unit…

最优化与控制 · 数学 2022-04-01 Angel Zambrano

We introduce the class of multistage stochastic optimization problems with a random number of stages. For such problems, we show how to write dynamic programming equations and detail the Stochastic Dual Dynamic Programming algorithm to…

最优化与控制 · 数学 2019-07-18 Vincent Guigues

Two-stage robust unit commitment (RUC) models have been widely used for day-ahead energy and reserve scheduling under high renewable integration. The current state of the art relies on budget-constrained polyhedral uncertainty sets to…

最优化与控制 · 数学 2019-05-14 Alexandre Velloso , Alexandre Street , David Pozo , José M. Arroyo , Noemi G. Cobos
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