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A central issue in complex networks is tolerance to random failures and intentional attacks. Current literature emphasizes the dichotomy between networks with a power-law node connectivity distribution, which are robust to random failures…

Statistical Mechanics · Physics 2009-11-10 Andre X. C. N. Valente , Abhijit Sarkar , Howard A. Stone

Load side participation can provide support to the power network by appropriately adapting the demand when required. In addition, it enables an economically improved power allocation. In this study, we consider the problem of providing an…

Optimization and Control · Mathematics 2021-05-10 Andreas Kasis , Stelios Timotheou , Marios Polycarpou

The configuration balancing problem with stochastic requests generalizes many well-studied resource allocation problems such as load balancing and virtual circuit routing. In it, we have $m$ resources and $n$ requests. Each request has…

Data Structures and Algorithms · Computer Science 2022-08-30 Franziska Eberle , Anupam Gupta , Nicole Megow , Benjamin Moseley , Rudy Zhou

We propose the reliability constrained k-rooted minimum spanning forest, a relevant optimization problem whose aim is to find a k-rooted minimum cost forest that connects given customers to a number of supply vertices, in such a way that a…

Optimization and Control · Mathematics 2019-09-10 Ida Kalateh Ahani , Majid Salari , Seyed Mahmoud Hosseini , Manuel Iori

The optimal power flow (OPF) problem seeks to control power generation/demand to optimize certain objectives such as minimizing the generation cost or power loss in the network. It is becoming increasingly important for distribution…

Optimization and Control · Mathematics 2013-07-02 Lingwen Gan , Na Li , Ufuk Topcu , Steven H. Low

We consider network models where information items flow %are sent from a source to a sink node. We start with a model where routing is constrained by energy available on nodes in finite supply (like in Smartdust) and efficiency is related…

Discrete Mathematics · Computer Science 2024-05-24 Pietro Cenciarelli , Daniele Gorla , Ivano Salvo

We study, possibly distributed, robust weight control policies for DC power networks that change link susceptances, or weights in response to balanced disturbances to the supply-demand vector. The margin of robustness for a given control…

Optimization and Control · Mathematics 2016-10-19 Qin Ba , Ketan Savla

Motivated by modern-day applications such as Attended Home Delivery and Preference-based Group Scheduling, where decision makers wish to steer a large number of customers toward choosing the exact same alternative, we introduce a novel…

Optimization and Control · Mathematics 2025-02-13 Omar El Housni , Marouane Ibn Brahim , Danny Segev

Flexible network design deals with building a network that guarantees some connectivity requirements between its vertices, even when some of its elements (like vertices or edges) fail. In particular, the set of edges (resp. vertices) of a…

Data Structures and Algorithms · Computer Science 2024-04-16 Dylan Hyatt-Denesik , Afrouz Jabal Ameli , Laura Sanita

Corrective Transmission Switching can be used by the grid operator to relieve line overloading and voltage violations, improve system reliability, and reduce system losses. Power grid optimization by means of line switching is typically…

Systems and Control · Computer Science 2018-03-19 Shuai Wang , John Baillieul

We consider a strategic network monitoring problem involving the operator of a networked system and an attacker. The operator aims to randomize the placement of multiple protected sensors to monitor and protect components that are…

Optimization and Control · Mathematics 2023-04-11 Jezdimir Milosevic , Mathieu Dahan , Saurabh Amin , Henrik Sandberg

One of the most important goals of the 21st century is to change radically the way our society produces and distributes energy. This broad objective embodies in the smart grid's futuristic vision of a completely decentralized system powered…

Systems and Control · Computer Science 2013-05-20 Nicolas Gensollen , Vincent Gauthier , Michel Marot , Monique Becker

As the share of Distributed energy resources (DER) in the low voltage distribution network (DN) is expected to rise, a higher and more variable electric load and generation could stress the DNs, leading to increased congestion and power…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Geert Mangelschots , Sari Kerckhove , Md Umar Hashmi , Dirk Van Hertem

Robust topology optimization (RTO), as a class of topology optimization problems, identifies a design with the best average performance while reducing the response sensitivity to input uncertainties, e.g. load uncertainty. Solving RTO is…

Machine Learning · Computer Science 2024-08-22 Rini Jasmine Gladstone , Mohammad Amin Nabian , Vahid Keshavarzzadeh , Hadi Meidani

The arrival of small-scale distributed energy generation in the future smart grid has led to the emergence of so-called prosumers, who can both consume as well as produce energy. By using local generation from renewable energy resources,…

Systems and Control · Computer Science 2016-09-15 Hung Khanh Nguyen , Amin Khodaei , Zhu Han

In this paper, we consider the resource allocation problem in a network with a large number of connections which are used by a huge number of users. The resource allocation problem under discussion is a maximization problem with linear…

Optimization and Control · Mathematics 2021-02-09 Anastasiya Ivanova , Dmitry Pasechnyuk , Pavel Dvurechensky , Alexander Gasnikov , Evgeniya Vorontsova

Due to its broad applications in practice, the minimum spanning tree problem and its all kinds of variations have been studied extensively during the last decades, for which a host of efficient exact and heuristic algorithms have been…

Optimization and Control · Mathematics 2026-05-05 Yang Xu , Lianmin Zhang

We present a unified analytical framework within which power control, rate allocation, routing, and congestion control for wireless networks can be optimized in a coherent and integrated manner. We consider a multi-commodity flow model with…

Networking and Internet Architecture · Computer Science 2007-09-18 Yufang Xi , Edmund M. Yeh

Renewable energy has attracted significant attention over the last decade, conceivably due to its environmental benefits and the recent drops in the development and deployment cost of the technology. The increase in renewable generation,…

Systems and Control · Computer Science 2016-10-25 Alireza Majzoobi , Amin Khodaei , Shay Bahramirad , Math H J Bollen

Motivated by the need for fast synchronized operation of power microgrids, we analyze the problem of single and multiple pinning in networked systems. We derive lower and upper bounds on the algebraic connectivity of the network with…

Systems and Control · Computer Science 2017-09-19 S. Manaffam , M. K. Talebi , A. K. Jain , A. Behal
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