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This paper investigates the uncertain power flow analysis in distribution networks within the context of renewable power resources integration such as wind and solar power. The analysis aims to bound the worst-case voltage magnitude in any…

Systems and Control · Computer Science 2018-07-03 Khaled Laib , Anton Korniienko , Florent Morel , Gérard Scorletti

The provision of self-cleaning velocities has been shown to reduce the risk of discolouration in water distribution networks (WDNs). Despite these findings, control implementations continue to be focused primarily on pressure and leakage…

Optimization and Control · Mathematics 2023-02-06 Bradley Jenks , Filippo Pecci , Ivan Stoianov

Due to a substantial growth in the world waterborne trade volumes and drastic changes in the global climate accounted for CO2 emissions, the shipping companies need to escalate their operational and energy efficiency. Therefore, a…

Optimization and Control · Mathematics 2023-07-24 Jasashwi Mandal , Adrijit Goswami , Lakshman Thakur , Manoj Kumar Tiwari

In this paper, we describe a comprehensive algorithmic framework for solving mixed integer bilevel linear optimization problems (MIBLPs) using a generalized branch-and-cut approach. The framework presented merges features from existing…

Optimization and Control · Mathematics 2021-04-20 Sahar Tahernejad , Ted K. Ralphs , Scott T. DeNegre

We develop a complementarity-constrained nonlinear optimization model for the time-dependent control of district heating networks. The main physical aspects of water and heat flow in these networks are governed by nonlinear and hyperbolic…

Optimization and Control · Mathematics 2020-04-22 Richard Krug , Volker Mehrmann , Martin Schmidt

The DC Optimal Power Flow (DC-OPF) problem is fundamental to power system operations, requiring rapid solutions for real-time grid management. While traditional optimization solvers provide optimal solutions, their computational cost…

Machine Learning · Computer Science 2025-12-15 Kshitiz Khanal

With the addition of large numbers of distributed energy resources (DERs) to distribution networks comes the increasing risk that their operation may violate the safety constraints of these networks. The problem considered in this paper is…

Optimization and Control · Mathematics 2026-05-11 Robert Steven , Oleksiy V. Klymenko , Michael Short

We propose a combination of machine learning and flux limiting for property-preserving subgrid scale modeling in the context of flux-limited finite volume methods for the one-dimensional shallow-water equations. The numerical fluxes of a…

Computational Physics · Physics 2025-04-29 Ilya Timofeyev , Alexey Schwarzmann , Dmitri Kuzmin

The increasing computational demands of modern neural networks present deployment challenges on resource-constrained devices. Network pruning offers a solution to reduce model size and computational cost while maintaining performance.…

Machine Learning · Computer Science 2024-03-13 Xiang Meng , Wenyu Chen , Riade Benbaki , Rahul Mazumder

This work proposes a novel method for scaling multi-timestep security-constrained optimal power flow in large power grids. The challenge arises from dealing with millions of variables and constraints, including binary variables and…

Optimization and Control · Mathematics 2023-11-28 Hussein Sharadga , Javad Mohammadi , Constance Crozier , Kyri Baker

Challenges in last-mile delivery have encouraged innovative solutions like crowdsourced delivery, where online platforms leverage the services of drivers who occasionally perform delivery tasks for compensation. A key challenge is that…

Optimization and Control · Mathematics 2026-03-23 Alim Buğra Çınar , Claudia Archetti , Wout Dullaert , Markus Leitner , Stefan Waldherr

Linearized models of power systems are often desirable to formulate tractable control and optimization problems that still reflect real-world physics adequately under various operating conditions. In this paper, we propose an approach that…

Optimization and Control · Mathematics 2018-05-28 Marc Hohmann , Joseph Warrington , John Lygeros

Optimal Power Flow (OPF) can be modeled as a non-convex Quadratically Constrained Quadratic Program (QCQP). Our purpose is to solve OPF to global optimality. To this end, we specialize the Mixed-Integer Quadratic Convex Reformulation method…

Optimization and Control · Mathematics 2019-03-14 Hadrien Godard , Sourour Elloumi , Amélie Lambert , Jean Maeght , Manuel Ruiz

The growing reliance of electric power systems on gas-fired generation to balance intermittent sources of renewable energy has increased the variation and volume of flows through natural gas transmission pipelines. Adapting pipeline…

Optimization and Control · Mathematics 2015-11-25 Terrence W. K. Mak , Pascal Van Hentenryck , Anatoly Zlotnik , Hassan Hijazi , Russell Bent

Resource allocation in wireless networks, such as device-to-device (D2D) communications, is usually formulated as mixed integer nonlinear programming (MINLP) problems, which are generally NP-hard and difficult to get the optimal solutions.…

Information Theory · Computer Science 2020-12-22 Mengyuan Lee , Guanding Yu , Geoffrey Ye Li

In the context of the energy transition, with increasing integration of renewable sources and cross-border electricity exchanges, power grids are encountering greater uncertainty and operational risk. Maintaining grid stability under…

Machine Learning · Computer Science 2025-09-24 Milad Leyli-abadi , Antoine Marot , Jérôme Picault

In this paper we investigate how standard nonlinear programming algorithms can be used to solve constrained optimization problems in a distributed manner. The optimization setup consists of a set of agents interacting through a…

Optimization and Control · Mathematics 2017-07-18 Ion Matei , John S. Baras

Gas-fired generators, with their ability to quickly ramp up and down their electricity production, play an important role in managing renewable energy variability. However, these changes in electricity production translate into variability…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Conor O' Malley , Gabriela Hug , Line Roald

Physics-Informed Neural Networks (PINNs) are a powerful deep learning method capable of providing solutions and parameter estimations of physical systems. Given the complexity of their neural network structure, the convergence speed is…

Machine Learning · Computer Science 2025-01-28 Sirui Li , Federica Bragone , Matthieu Barreau , Kateryna Morozovska

Computing the exact optimal experimental design has been a longstanding challenge in various scientific fields. This problem, when formulated using a specific information function, becomes a mixed-integer nonlinear programming (MINLP)…

Methodology · Statistics 2024-09-30 Ling Liang , Haizhao Yang