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We propose a novel computational method for unit commitment UC, which does not require linearized approximation and provides several orders of magnitude performance improvement over current state-of-the-art. The performance improvement is…

Optimization and Control · Mathematics 2026-03-26 Shaked Regev , Eve Tsybina , Slaven Peles

Cyber-physical systems (CPS) increasingly manage shared physical resources in the presence of human decision-making, where system-assigned actions must be executed by users or agents in the physical world. A fundamental challenge in such…

Computer Science and Game Theory · Computer Science 2026-02-03 Anurag Satpathy , Arindam Khanda , Chittaranjan Swain , Sajal K. Das

This paper applies Benders decomposition to two-stage stochastic problems for energy planning under climate uncertainty, a key problem for the design of renewable energy systems. To improve performance, we adapt various refinements for…

Optimization and Control · Mathematics 2024-01-29 Leonard Göke , Felix Schmidt , Mario Kendziorski

The unit commitment (UC) problem is a nonlinear, high-dimensional, highly constrained, mixed-integer power system optimization problem and is generally solved in the literature considering minimizing the system operation cost as the only…

Neural and Evolutionary Computing · Computer Science 2014-10-24 Anupam Trivedi , Kunal Pal , Chiranjib Saha , Dipti Srinivasan

This paper presents a robust adaptive learning Model Predictive Control (MPC) framework for linear systems with parametric uncertainties and additive disturbances performing iterative tasks. The approach refines the parameter estimates…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Hannes Petrenz , Johannes Köhler , Francesco Borrelli

In this paper, we consider a multistage expected utility maximization problem where the decision maker's utility function at each stage depends on historical data and the information on the true utility function is incomplete. To mitigate…

Optimization and Control · Mathematics 2023-02-22 Jia Liu , Zhiping Chen , Huifu Xu

Robust optimization is an established framework for modeling optimization problems with uncertain parameters. While static robust optimization is often criticized for being too conservative, two-stage (or adjustable) robust optimization…

Optimization and Control · Mathematics 2024-11-05 Justin Dumouchelle , Esther Julien , Jannis Kurtz , Elias B. Khalil

In this study, we consider two classes of multicriteria two-stage stochastic programs in finite probability spaces with multivariate risk constraints. The first-stage problem features a multivariate stochastic benchmarking constraint based…

Optimization and Control · Mathematics 2020-06-02 Nilay Noyan , Merve Merakli , Simge Kucukyavuz

Electric vehicles (EVs) provide a cleaner alternative that not only reduces greenhouse gas emissions but also improves air quality and reduces noise pollution. The consumer market for electrical vehicles is growing very rapidly. Designing a…

Signal Processing · Electrical Eng. & Systems 2020-03-19 Seyed Sajjad Fazeli , Saravanan Venkatachalam , Ratna Babu Chinnam , Alper Murat

Determination of the most economic strategies for supply and transmission of electricity is a daunting computational challenge. Due to theoretical barriers, so-called NP-hardness, the amount of effort to optimize the schedule of generating…

Optimization and Control · Mathematics 2017-07-13 Ramtin Madani , Alper Atamturk , Ali Davoudi

The alternating current optimal power flow (AC-OPF) problem is critical to power system operations and planning, but it is generally hard to solve due to its nonconvex and large-scale nature. This paper proposes a scalable decomposition…

Optimization and Control · Mathematics 2020-06-12 Shenyinying Tu , Andreas Waechter , Ermin Wei

Robust optimization (RO) tackles data uncertainty by optimizing for the worst-case scenario of an uncertain parameter and, in its basic form, is sometimes criticized for producing overly-conservative solutions. To reduce the level of…

Optimization and Control · Mathematics 2022-02-21 Milad Dehghani Filabadi , Houra Mahmoudzadeh

In the presence of strong heterogeneities, it is well known that the use of explicit schemes for the transport of species in a porous medium suffers from severe restrictions on the time step. This has led to the development of implicit…

Numerical Analysis · Mathematics 2023-04-10 Franciane F. Rocha , Fabricio S. Sousa , Roberto F. Ausas , Gustavo C. Buscaglia , Felipe Pereira

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…

Optimization and Control · Mathematics 2025-07-01 Giovanni Pantuso , Mike Hewitt

This paper considers endogenous uncertainty (EnU) in the stochastic economic dispatch (SED) problem, where the endogenous uncertainty means decision dependent uncertainty. In this problem, demand response (DR) commitment is the source of…

Optimization and Control · Mathematics 2023-06-01 Nasrin Bayat , Qifeng Li , Joon-Hyuk Park

In this paper, we present and study a robust unit commitment model and some variants that consider complex temperature and demand uncertainties. Since there is a strong relationship among the efficiency of gas generators, demand, and…

Optimization and Control · Mathematics 2022-06-22 Wei Wang , Anna Danandeh , Brian Buckley , Bo Zeng

In power systems, unpredictable events like extreme weather, equipment failures, and cyberattacks present significant challenges to ensuring safety and reliability. Ensuring resilience in the face of these uncertainties is crucial for…

Systems and Control · Electrical Eng. & Systems 2024-11-14 Saman Mazaheri Khamaneh , Tong Wu

Traditionally, power system operations use a static network to deliver power and meet demand optimally. Network topology reconfiguration through transmission switching (TS) has gained significant interest recently to reduce the operational…

Optimization and Control · Mathematics 2020-01-06 Arun Venkatesh Ramesh , Xingpeng Li

In this paper we study feasibility and infeasibility of nonlinear two-stage fully adjustable robust feasibility problems with an empty first stage. This is equivalent to deciding whether the uncertainty set is contained within the…

Optimization and Control · Mathematics 2018-08-31 Denis Aßmann , Frauke Liers , Michael Stingl , Juan C. Vera

We address the stochastic transmission expansion planning (STEP) problem under uncertainty in renewable generation capacity and demand. STEP's objective is to minimize total transmission investment and generation costs. To tackle the…

Optimization and Control · Mathematics 2026-05-12 Yure Rocha , Teobaldo Bulhões , Anand Subramanian , Joaquim Dias Garcia