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This work aims to jointly optimize the coding and node selection to minimize the processing time for distributed computing tasks over wireless edge networks. Since the joint optimization problem formulation is NP-hard and nonlinear, we…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-11 Cong T. Nguyen , Diep N. Nguyen , Dinh Thai Hoang , Hoang-Anh Pham , Eryk Dutkiewicz

Graph connectivity and network design problems are among the most fundamental problems in combinatorial optimization. The minimum spanning tree problem, the two edge-connected spanning subgraph problem (2-ECSS) and the tree augmentation…

Data Structures and Algorithms · Computer Science 2020-01-14 David Adjiashvili , Felix Hommelsheim , Moritz Mühlenthaler

The distribution system problems, such as planning, loss minimization, and energy restoration, usually involve the phase balancing or network reconfiguration procedures. The determination of an optimal phase balance is, in general, a…

Neural and Evolutionary Computing · Computer Science 2015-03-23 A. Ukil , W. Siti , J. Jordaan

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

Network design problems involve constructing edges in a transportation or supply chain network to minimize construction and daily operational costs. We study a stochastic version where operational costs are uncertain due to fluctuating…

Optimization and Control · Mathematics 2025-01-08 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet , Periklis Petridis

Now a day's Heterogeneous wireless network is a promising field of research interest. Various challenges exist in this hybrid combination like load balancing, resource management and so on. In this paper we introduce a reliable load…

Networking and Internet Architecture · Computer Science 2012-02-10 Md. Golam Rabiul Alam , Chayan Biswas , Naushin Nower , Mohammed Shafiul Alam Khan

Networks of coupled nonlinear oscillators can display a wide range of emergent behaviours under variation of the strength of the coupling. Network equations for pairs of coupled oscillators where the dynamics of each node is described by…

Dynamical Systems · Mathematics 2023-10-05 Rachel Nicks , Robert Allen , Stephen Coombes

We study the synchronizability and the synchronization dynamics of networks of nonlinear oscillators. We investigate how the synchronization of the network is influenced by some of its topological features such as variations of the power…

Disordered Systems and Neural Networks · Physics 2007-12-08 Mario di Bernardo , Franco Garofalo , Francesco Sorrentino

We consider a natural combinatorial optimization problem on chordal graphs, the class of graphs with no induced cycle of length four or more. A subset of vertices of a chordal graph is (monophonically) convex if it contains the vertices of…

Data Structures and Algorithms · Computer Science 2018-06-27 Jean Cardinal , Jean-Paul Doignon , Keno Merckx

Experimental studies of synchronization properties on networks with controlled connection topology can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection…

Chaotic Dynamics · Physics 2011-07-28 Bhargava Ravoori , Adam B. Cohen , Jie Sun , Adilson E. Motter , Thomas E. Murphy , Rajarshi Roy

One of the most common control decisions faced by power system operators is the question of how to dispatch generation to meet demand for power. This is a complex optimization problem that includes many nonlinear, non convex constraints as…

Optimization and Control · Mathematics 2013-06-14 Russell Bent , Daniel Bienstock , Michael Chertkov

Many problems in power systems involve optimizing a certain objective function subject to power flow equations and engineering constraints. A long-standing challenge in solving them is the nonconvexity of their feasible sets. In this paper,…

Optimization and Control · Mathematics 2023-10-03 Ling Zhang , Daniel Tabas , Baosen Zhang

The influence of topological defects on phase synchronization and phase coherence in two-dimensional arrays of locally-coupled, nonidentical, chaotic oscillators is investigated. The motion of topological defects leads to a breakdown of…

Statistical Mechanics · Physics 2009-11-07 J. Davidsen , R. Kapral

Network couplings of oscillatory large-scale systems, such as the brain, have a space-time structure composed of connection strengths and signal transmission delays. We provide a theoretical framework, which allows treating the spatial…

We investigate an alternative solution method to the joint signal-beamformer optimization problem considered by Setlur and Rangaswamy[1]. First, we directly demonstrate that the problem, which minimizes the received noise, interference, and…

Systems and Control · Computer Science 2018-02-14 Sean M. O'Rourke , Pawan Setlur , Muralidhar Rangaswamy , A. Lee Swindlehurst

In this paper, we address the scheduling problem in wireless ad hoc networks by exploiting the computational advantage that comes when such scheduling problems can be represented by claw-free conflict graphs where we consider a wireless…

Information Theory · Computer Science 2017-12-05 Alper Kose , Noyan Evirgen , Hakan Gokcesu , Kaan Gokcesu , Muriel Medard

Given its wide spectrum of applications, the classical problem of all-terminal network reliability evaluation remains a highly relevant problem in network design. The associated optimization problem -- to find a network with the best…

Optimization and Control · Mathematics 2022-09-07 Javiera Barrera , Eduardo Moreno , Gonzalo Muñoz , Pablo Romero

The frenetic growth of the need for computation performance and efficiency, along with the intrinsic limitations of the current main solutions, is pushing the scientific community towards unconventional, and sometimes even exotic,…

Emerging Technologies · Computer Science 2020-12-24 Michele Bonnin , Fabio Lorenzo Traversa , Fabrizio Bonani

In this letter we discuss a method for generating synchrony-optimized coupling architectures of Kuramoto oscillators with a heterogeneous distribution of native frequencies. The method allows us to relate the properties of the coupling…

Pattern Formation and Solitons · Physics 2009-11-13 Markus Brede

This work analyzes the convergence properties of signed networks with nonlinear edge functions. We consider diffusively coupled networks comprised of maximal equilibrium-independent passive (MEIP) dynamics on the nodes, and a general class…

Systems and Control · Computer Science 2019-03-28 Hao Chen , Daniel Zelazo , Xiangke Wang , Lincheng Shen
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