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Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments,…

Optimization and Control · Mathematics 2019-04-16 Xinbo Geng , Le Xie

In this work, we design primal and dual bounding methods for multistage adaptive robust optimization (MSARO) problems motivated by two decision rules rooted in the stochastic programming literature. From the primal perspective, this is…

Optimization and Control · Mathematics 2024-09-18 Maryam Daryalal , Ayse N. Arslan , Merve Bodur

We study a utility maximization problem in a financial market with a stochastic drift process, combining a worst-case approach with filtering techniques. Drift processes are difficult to estimate from asset prices, and at the same time…

Portfolio Management · Quantitative Finance 2021-11-04 Jörn Sass , Dorothee Westphal

Community microgrids are developed within existing power systems by integrating local distributed energy resources (DERs). So power distribution systems can be seamlessly partitioned into community microgrids and end-users could be largely…

Optimization and Control · Mathematics 2017-08-04 Chen Yuan , Guangyi Liu , Zhiwei Wang , Xi Chen , Mahesh S. Illindala

This paper presents an end-to-end framework for calibrating wind power forecast models to minimize operational costs in two-stage power markets, where the first stage involves a distributionally robust optimal power flow (DR-OPF) model.…

Systems and Control · Electrical Eng. & Systems 2024-12-17 Zhirui Liang , Qi Li , Anqi Liu , Yury Dvorkin

In this paper, we extend the adaptive partition-based approach for solving two-stage stochastic programs with fixed recourse to the multistage stochastic programming setting. The proposed algorithms integrate the adaptive partition-based…

Optimization and Control · Mathematics 2019-08-30 Murwan Siddig , Yongjia Song

Smart distribution grids should efficiently integrate stochastic renewable resources while effecting voltage regulation. The design of energy management schemes is challenging, one of the reasons being that energy management is a multistage…

Optimization and Control · Mathematics 2016-08-19 Luis M. Lopez-Ramos , Vassilis Kekatos , Antonio G. Marques , Georgios B. Giannakis

With increases in population, there is a noticeable change across the world in pollution levels. Recently there has been growing demand for renewable energy operated devices boomed. Numerous reasons have led to such growth including lower…

Optimization and Control · Mathematics 2023-03-31 Mahak Bhatia , Aled Williams

The energy and material processing industries are traditionally characterized by very large-scale physical capital that is custom-built with long lead times and long lifetimes. However, recent technological advancement in low-cost…

Economics · Quantitative Finance 2015-03-31 Eric Dahlgren , Tim Leung

One often encounters the curse of dimensionality in the application of dynamic programming to determine optimal policies for controlled Markov chains. In this paper, we provide a method to construct sub-optimal policies along with a bound…

Systems and Control · Computer Science 2011-08-17 Myoungkuk Park , Krishnamoorthy Kalyanam , Swaroop Darbha , Phil Chandler , Meir Pachter

We develop a non-parametric, data-driven, tractable approach for solving multistage stochastic optimization problems in which decisions do not affect the uncertainty. The proposed framework represents the decision variables as elements of a…

Optimization and Control · Mathematics 2023-03-14 Dimitris Bertsimas , Kimberly Villalobos Carballo

Power systems that need to integrate renewables at a large scale must account for the high levels of uncertainty introduced by these power sources. This can be accomplished with a system of many distributed grid-level storage devices.…

Optimization and Control · Mathematics 2020-02-04 Joseph L. Durante , Juliana Nascimento , Warren B. Powell

As an efficient way to integrate multiple distributed energy resources and the user side, a microgrid is mainly faced with the problems of small-scale volatility, uncertainty, intermittency and demand-side uncertainty of DERs. The…

Machine Learning · Computer Science 2022-11-14 Jinsong Sang , Hongbin Sun , Lei Kou

Contemporary electricity distribution systems are being challenged by the variability of renewable energy sources. Slow response times and long energy management periods cannot efficiently integrate intermittent renewable generation and…

Systems and Control · Computer Science 2016-02-02 Gang Wang , Vassilis Kekatos , Antonio J. Conejo , Georgios B. Giannakis

Multistage decision policies provide useful control strategies in high-dimensional state spaces, particularly in complex control tasks. However, they exhibit weak performance guarantees in the presence of disturbance, model mismatch, or…

Robotics · Computer Science 2018-08-07 Olalekan Ogunmolu , Nicholas Gans , Tyler Summers

Maximizing storage performance in geological carbon storage (GCS) is crucial for commercial deployment, but traditional optimization demands resource-intensive simulations, posing computational challenges. This study introduces the…

Machine Learning · Computer Science 2024-06-10 Zhongzheng Wang , Yuntian Chen , Guodong Chen , Dongxiao Zhang

Truckload procurement plays a vital role in integrated container logistics, particularly under the uncertainties of container flow and market conditions. We formulate the operational volume allocation problem in drayage procurement as a…

Optimization and Control · Mathematics 2025-05-06 Georgios Vassos , Richard Lusby , Pierre Pinson

Stochastic and soft optimal policies resulting from entropy-regularized Markov decision processes (ER-MDP) are desirable for exploration and imitation learning applications. Motivated by the fact that such policies are sensitive with…

Machine Learning · Computer Science 2022-01-03 Tien Mai , Patrick Jaillet

We study the joint scheduling of behind-the-meter distributed energy resources (DERs), including flexible loads, renewable generation, and battery energy storage systems, under net energy metering tariffs with demand charges. The problem is…

Systems and Control · Electrical Eng. & Systems 2026-01-07 Ruixiao Yang , Gulai Shen , Ahmed S. Alahmed , Chuchu Fan

To mitigate the vulnerability of distribution grids to severe weather events, some electric utilities use preemptive de-energization as the primary line of defense, causing significant power outages. In such instances, networked microgrids…

Optimization and Control · Mathematics 2024-04-05 Hannah Moring , Harsha Nagarajan , Kshitij Girigoudar , David M. Fobes , Johanna L. Mathieu