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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…

Optimization and Control · Mathematics 2016-08-11 Alvaro Lorca , Xu Andy Sun

In this paper we present a dynamic programing approach to stochastic optimal control problems with dynamic, time-consistent risk constraints. Constrained stochastic optimal control problems, which naturally arise when one has to consider…

Optimization and Control · Mathematics 2015-11-24 Yin-Lam Chow , Marco Pavone

Long-term reservoir management often uses bounds on the reservoir level, between which the operator can work. However, these bounds are not always kept up-to-date with the latest knowledge about the reservoir drainage area, and thus become…

Optimization and Control · Mathematics 2018-01-29 Thibaut Cuvelier , Pierre Archambeau , Benjamin Dewals , Quentin Louveaux

Supply chain optimization schemes have more often than not underplayed the role of inherent stochastic fluctuations in the associated variables. The present article focuses on the associated reengagement and correlated renormalization of…

Optimization and Control · Mathematics 2015-01-26 Kostas Petridis , Amit K. Chattopadhyay , Prasanta K. Dey

We study linear policy approximations for the risk-conscious operation of an industrial energy system with uncertain wind power, significant and variable electricity demand, and high thermal output, as found in a modern foundry. The system…

Optimization and Control · Mathematics 2025-11-24 Johannes Nicklaus , Lea Brass , Gunnar Schubert

The growing uncertainty from renewable power and electricity demand brings significant challenges to unit commitment (UC). While various advanced forecasting and optimization methods have been developed to predict better and address this…

Optimization and Control · Mathematics 2025-09-30 Rui Xie , Yue Chen , Pierre Pinson

The aim of this paper is to address optimality of stochastic control strategies via dynamic programming subject to total variation distance ambiguity on the conditional distribution of the controlled process. We formulate the stochastic…

Optimization and Control · Mathematics 2014-02-06 Ioannis Tzortzis , Charalambos D. Charalambous , Themistoklis Charalambous

Pumped storage hydro units (PSHU) are great sources of flexibility in power systems. This is especially valuable in modern systems with increasing shares of intermittent renewable resources. However, the flexibility from PSHUs, particularly…

Systems and Control · Electrical Eng. & Systems 2023-04-11 Bing Huang , Arezou Ghesmati , Yonghong Chen , Ross Baldick

Optimization problems involving sequential decisions in a stochastic environment were studied in Stochastic Programming (SP), Stochastic Optimal Control (SOC) and Markov Decision Processes (MDP). In this paper we mainly concentrate on SP…

Optimization and Control · Mathematics 2023-03-29 Guanghui Lan , Alexander Shapiro

This work introduces a stochastic model predictive control scheme for dynamic chance constraints. We consider linear discrete-time systems affected by unbounded additive stochastic disturbance. To synthesize an optimal controller, we solve…

Systems and Control · Electrical Eng. & Systems 2023-07-26 Maico Hendrikus Wilhelmus Engelaar , Sofie Haesaert , Mircea Lazar

This paper investigates inland port infrastructure investment planning under uncertain commodity demand conditions. A two-stage stochastic optimization is developed to model the impact of demand uncertainty on infrastructure planning and…

Optimization and Control · Mathematics 2022-08-12 Sanjeev Bhurtyal , Sarah Hernandez , Sandra Eksioglu , Manzi Yves

We investigate Monte Carlo based algorithms for solving stochastic control problems with probabilistic constraints. Our motivation comes from microgrid management, where the controller tries to optimally dispatch a diesel generator while…

Optimization and Control · Mathematics 2024-02-06 Alessandro Balata , Michael Ludkovski , Aditya Maheshwari , Jan Palczewski

Given the complexity of power systems, particularly the high-dimensional variability of net loads, accurately depicting the entire operational range of net loads poses a challenge. To address this, recent methodologies have sought to gauge…

Optimization and Control · Mathematics 2024-07-23 Xinyi Zhao , Lei Fan , Fei Ding , Weijia Liu , Chaoyue Zhao

We consider a logistics planning problem of prepositioning relief items in preparation for an impending hurricane landfall. This problem is modeled as a multiperiod network flow problem where the objective is to minimize the logistics cost…

Optimization and Control · Mathematics 2022-01-27 Murwan Siddig , Yongjia Song

Pre-positioning of relief supplies is an important aspect of disaster operations management that aims at decreasing the response time by advancing procurement and storage of needed supplies. In this paper we consider commodity life-time…

Optimization and Control · Mathematics 2022-04-19 Oluwasegun Olanrewaju , Shaolong Hu , Zhijie Sasha Dong

In this paper we wish to tackle stochastic programs affected by ambiguity about the probability law that governs their uncertain parameters. Using optimal transport theory, we construct an ambiguity set that exploits the knowledge about the…

Optimization and Control · Mathematics 2021-06-15 Adrián Esteban-Pérez , Juan M. Morales

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…

Optimization and Control · Mathematics 2022-01-04 Warren B Powell , Saeed Ghadimi

This paper studies an optimal control problem for continuous-time stochastic systems subject to reachability objectives specified in a subclass of metric interval temporal logic specifications, a temporal logic with real-time constraints.…

Systems and Control · Computer Science 2015-04-21 Jie Fu , Ufuk Topcu

We provide a novel computer-assisted technique for systematically analyzing first-order methods for optimization. In contrast with previous works, the approach is particularly suited for handling sublinear convergence rates and stochastic…

Optimization and Control · Mathematics 2021-12-22 Adrien Taylor , Francis Bach

This paper addresses the computational challenges in reliability-based topology optimization (RBTO) of structures associated with the estimation of statistics of the objective and constraints using standard sampling methods, and overcomes…

Optimization and Control · Mathematics 2021-07-27 Subhayan De , Kurt Maute , Alireza Doostan