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We consider a two-stage robust facility location problem on a metric under an uncertain demand. The decision-maker needs to decide on the (integral) units of supply for each facility in the first stage to satisfy an uncertain second-stage…

最优化与控制 · 数学 2020-11-11 Omar El Housni , Vineet Goyal , David Shmoys

The multistage robust unit commitment (UC) is of paramount importance for achieving reliable operations considering the uncertainty of renewable realizations. The typical affine decision rule method and the robust feasible region method may…

最优化与控制 · 数学 2023-03-07 Yu Lan , Qiaozhu Zhai , Xiaoming Liu , Xiaohong Guan

A power system unit commitment (UC) problem considering uncertainties of renewable energy sources is investigated in this paper, through a distributionally robust optimization approach. We assume that the first and second order moments of…

最优化与控制 · 数学 2020-11-17 Xiaodong Zheng , Haoyong Chen , Yan Xu , Zhengmao Li , Zhenjia Lin , Zipeng Liang

The trade-off between optimality and complexity has been one of the most important challenges in the field of robust Model Predictive Control (MPC). To address the challenge, we propose a flexible robust MPC scheme by synergizing the…

系统与控制 · 电气工程与系统科学 2021-03-25 Sankaranarayanan Subramanian , Sergio Lucia , Radoslav Paulen , Sebastian Engell

Renewable power sources have low marginal pro-duction costs, but may result in high balancing costs due to the inherent production uncertainty. Current day-ahead markets elicit only point production profiles and neglect the degree of…

系统与控制 · 电气工程与系统科学 2026-04-06 Shobhit Singhal , Lesia Mitridati , Licio Romao

The joint management of heat and power systems is believed to be key to the integration of renewables into energy systems with a large penetration of district heating. Determining the day-ahead unit commitment and production schedules for…

最优化与控制 · 数学 2015-07-22 Marco Zugno , Juan M. Morales , Henrik Madsen

In the day-ahead energy market, the offering strategy of distributed energy resource (DER) aggregators must be submitted before the uncertainty realization in the form of price-quantity pairs. This work addresses the day-ahead offering…

系统与控制 · 电气工程与系统科学 2026-02-03 Weiqi Meng , Hongyi Li , Bai Cui

This work proposes a framework for multistage adjustable robust optimization that unifies the treatment of three different types of endogenous uncertainty, where decisions, respectively, (i) alter the uncertainty set, (ii) affect the…

最优化与控制 · 数学 2020-08-31 Qi Zhang , Wei Feng

The global increase in energy consumption and demand has forced many countries to transition into including more diverse energy sources in their electricity market. To efficiently utilize the available fuel resources, all energy sources…

最优化与控制 · 数学 2024-03-06 Razan A. H. Al-Lawati , Tasnim Ibn Faiz , Md. Noor-E-Alam

Multistage stochastic optimization problems are, by essence, complex as their solutions are indexed both by stages and by uncertainties. Their large scale nature makes decomposition methods appealing, like dynamic programming which is a…

This paper presents an analysis of the stability and quality of the distributed generation planning problem's investment solution. The entry of distributed generators power based on non-conventional energy sources has been extensively…

系统与控制 · 电气工程与系统科学 2021-03-31 Luis Lopez , Alvaro Gonzalez-Castellanos , David Pozo

This work uniquely combines an affine linear decision rule known from adjustable robustness with min-max-regret robustness. By doing so, the advantages of both concepts can be obtained with an adjustable solution that is not…

最优化与控制 · 数学 2024-12-02 Kerstin Schneider , Helene Krieg , Dimitri Nowak , Karl-Heinz Küfer

In this paper we extend the well-known L-Shaped method to solve two-stage stochastic programming problems with decision-dependent uncertainty. The method is based on a novel, unifying, formulation and on distribution-specific optimality and…

最优化与控制 · 数学 2025-07-01 Giovanni Pantuso , Mike Hewitt

Edge computing has emerged as a key technology to reduce network traffic, improve user experience, and enable various Internet of Things applications. From the perspective of a service provider (SP), how to jointly optimize the service…

分布式、并行与集群计算 · 计算机科学 2020-12-01 Duong Tung Nguyen , Hieu Trung Nguyen , Ni Trieu , Vijay K. Bhargava

High intermittent renewable penetration in the energy mix presents challenges in robustness for the management of power systems' operation. If a tail realization of the distribution of weather yields a prolonged period of time during which…

最优化与控制 · 数学 2026-05-27 Daniel Mastropietro , Vyacheslav Kungurtsev

Two approaches to time consistency of risk averse multistage stochastic problems were discussed in the recent literature. In one approach certain properties of the cor-responding risk measure are postulated which imply its decomposability.…

最优化与控制 · 数学 2018-06-06 Alexander Shapiro , Kerem Ugurlu

Optimization via simulation has been well established to find optimal solutions and designs in complex systems. However, it still faces modeling and computational challenges when extended to the multi-stage setting. This survey reviews the…

最优化与控制 · 数学 2023-12-08 Zhuo Zhang , Dan Wang , Haoxiang Yang , Shubin Si

Multi stage stochastic programs arise in many applications from engineering whenever a set of inventories or stocks has to be valued. Such is the case in seasonal storage valuation of a set of cascaded reservoir chains in hydro management.…

最优化与控制 · 数学 2019-12-02 Wim Van-Ackooij , Xavier Warin

The large shares of wind power generation in electricity markets motivate higher levels of operating reserves. However, current reserve sizing practices fail to account for important topological aspects that might hinder their deployment,…

系统与控制 · 电气工程与系统科学 2020-04-27 Nicola Viafora , Stefanos Delikaraoglou , Pierre Pinson , Gabriela Hug , Joachim Holbøll

Security-Constrained Unit Commitment (SCUC) is one of the most significant problems in secure and optimal operation of modern electricity markets. New sources of uncertainties such as wind speed volatility and price-sensitive loads impose…

最优化与控制 · 数学 2017-01-25 Mahdi Mehrtash , Mahdi Raoofat , Mohammad Mohammadi , Mohammad Hossein Zakernejad