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Power systems modeling and planning has long leveraged mathematical programming for its ability to provide optimality and feasibility guarantees. One feature that has been recognized in the optimization literature since the 1970s is the…

Optimization and Control · Mathematics 2025-11-13 Matthew Viens , J. Kyle Skolfield , William E. Hart , Michael Ferris

Modelling renewable energy systems is a computationally-demanding task due to the high fluctuation of supply and demand time series. To reduce the scale of these, this paper discusses different methods for their aggregation into typical…

Optimization and Control · Mathematics 2017-12-04 Leander Kotzur , Peter Markewitz , Martin Robinius , Detlef Stolten

Solving complex optimal control problems have confronted computational challenges for a long time. Recent advances in machine learning have provided us with new opportunities to address these challenges. This paper takes model predictive…

Optimization and Control · Mathematics 2022-07-21 Weinan E , Jiequn Han , Jihao Long

This work develops a novel power control framework for energy-efficient power control in wireless networks. The proposed method is a new branch-and-bound procedure based on problem-specific bounds for energy-efficiency maximization that…

Information Theory · Computer Science 2020-07-13 Bho Matthiesen , Alessio Zappone , Karl-L. Besser , Eduard A. Jorswieck , Merouane Debbah

The optimization of nuclear engineering designs, such as nuclear fuel assembly configurations, involves managing competing objectives like reactivity control and power distribution. This study explores the use of Optimization by Prompting,…

In recent years, the power system research community has seen an explosion of novel methods for formulating and solving power network optimization problems. These emerging methods range from new power flow approximations, which go beyond…

Optimization and Control · Mathematics 2018-03-14 Carleton Coffrin , Russell Bent , Kaarthik Sundar , Yeesian Ng , Miles Lubin

The growth of world population, limitation of resources, economic problems and environmental issues force engineers to develop increasingly efficient solutions for logistic systems. Pure optimization for efficiency, however, has often led…

Nowadays hydroelectric energy is one of the best energy sources: it is cleaner, safer and more programmable than other sources. For this reason, its manage could not be done in an approssimative way, but advance mathematical models must be…

Computational Engineering, Finance, and Science · Computer Science 2016-11-01 Matteo Gardini , Aurora Manicardi

In optimization routines used for on-line Model Predictive Control (MPC), linear systems of equations are usually solved in each iteration. This is true both for Active Set (AS) methods as well as for Interior Point (IP) methods, and for…

Optimization and Control · Mathematics 2014-01-08 Daniel Axehill

We provide a computational complexity lens to understand the power of machine learning models, particularly their ability to model complex systems. Machine learning models are often trained on data drawn from sampleable or more complex…

Machine Learning · Computer Science 2026-04-09 Lance Fortnow

As the world is transitioning towards highly renewable energy systems, advanced tools are needed to analyze such complex networks. Energy system design is, however, challenged by real-world objective functions consisting of a blurry mix of…

Computational Engineering, Finance, and Science · Computer Science 2021-06-30 Tim T. Pedersen , Marta Victoria , Morten G. Rasmussen , Gorm B. Andresen

The integration of renewables into electrical grids calls for optimization-based control schemes requiring reliable grid models. Classically, parameter estimation and optimization-based control is often decoupled, which leads to high system…

Systems and Control · Electrical Eng. & Systems 2021-03-22 Xu Du , Alexander Engelmann , Timm Faulwasser , Boris Houska

The planning and operation of renewable energy, especially wind power, depend crucially on accurate, timely, and high-resolution weather information. Coarse-grid global numerical weather forecasts are typically downscaled to meet these…

This chapter does not deal with specific tools and techniques for managing complex systems, but proposes some basic concepts that help us to think and speak about complexity. We review classical thinking and its intrinsic drawbacks when…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carlos Gershenson , Francis Heylighen

The electrification of heating, cooling, and transportation to reach decarbonization targets calls for a rapid expansion of renewable technologies. Due to their decentral and intermittent nature, these technologies require robust planning…

Physics and Society · Physics 2022-03-01 Febin Kachirayil , Jann Michael Weinand , Fabian Scheller , Russell McKenna

The complexity of database systems has increased significantly along with the continuous growth of data, resulting in NoSQL systems and forcing Information Systems (IS) architects to constantly adapt their data models (i.e., the data…

Databases · Computer Science 2023-11-30 Jihane Mali , Faten Atigui , Ahmed Azough , Nicolas Travers , Shohreh Ahvar

The exploration of complex physical or technological processes usually requires exploiting available information from different sources: (i) physical laws often represented as a family of parameter dependent partial differential equations…

Numerical Analysis · Mathematics 2020-02-04 Albert Cohen , Wolfgang Dahmen , Ron DeVore

Major innovations in computing have been driven by scaling up computing infrastructure, while aggressively optimizing operating costs. The result is a network of worldwide datacenters that consume a large amount of energy, mostly in an…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-30 Walid A. Hanafy , Roozbeh Bostandoost , Noman Bashir , David Irwin , Mohammad Hajiesmaili , Prashant Shenoy

The outstanding problem of controlling complex networks is relevant to many areas of science and engineering, and has the potential to generate technological breakthroughs as well. We address the physically important issue of the energy…

Physics and Society · Physics 2012-05-30 Gang Yan , Jie Ren , Ying-Cheng Lai , Choy-Heng Lai , Baowen Li

Given the complexity and heterogeneity in Cloud computing scenarios, the modeling approach has widely been employed to investigate and analyze the energy consumption of Cloud applications, by abstracting real-world objects and processes…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-03 Zheng Li , Selome Tesfatsion , Saeed Bastani , Ahmed Ali-Eldin , Erik Elmroth , Maria Kihl , Rajiv Ranjan
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