Dynamic Modeling of Overload in Scale Free Networks

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Bibliographic Details
Main Author:	Reginaldo A. Zara
Format:	Artículo científico
Language:	en
Published:	Sociedade Brasileira de Física 2007
Subjects:	Física, Astronomía y Matemáticas Percolation Load Management Transport Networks
Online Access:	Acceder al recurso
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author	Reginaldo A. Zara
author_facet	Reginaldo A. Zara
contents	Dynamic Modeling of Overload in Scale Free Networks Reginaldo A. Zara Neila Fernanda Michel Física, Astronomía y Matemáticas Percolation Load Management Transport Networks We introduce a simple dynamic model to investigate the fragmentation of transport networks. The transportproperties like as the size of largest connected cluster, the length of the minimum paths and the optimal pathsbetween a pair of nodes of the network were evaluated upon continuously increasing the load on the system.We use two load insertion strategies: an uniform random distribution of loads and a Cohen-like immunizationstrategy (one node is selected with a uniform probability p and one of its first neighbours, randomly selected,receives the load). Both strategies may be classified as local strategies but the resulting effects are qualitativelydifferent. Evaluating the physical quantities as a function of time we observe that for the random distributionstrategy there is a crossover from a fully connected cluster to a non-connected state in the sense that all linksbecome unavailable. On the other hand, following the Cohen-like strategy we found a sudden change in transportproperties which is may be interpreted as a percolation-like transition induced by the cumulative process of load 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437814 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4 Vol.37
format	Artículo científico
id	redalyc_46437814
language	en
publishDate	2007
publisher	Sociedade Brasileira de Física
spellingShingle	Dynamic Modeling of Overload in Scale Free Networks Reginaldo A. Zara Física, Astronomía y Matemáticas Percolation Load Management Transport Networks Dynamic Modeling of Overload in Scale Free Networks Reginaldo A. Zara Neila Fernanda Michel Física, Astronomía y Matemáticas Percolation Load Management Transport Networks We introduce a simple dynamic model to investigate the fragmentation of transport networks. The transportproperties like as the size of largest connected cluster, the length of the minimum paths and the optimal pathsbetween a pair of nodes of the network were evaluated upon continuously increasing the load on the system.We use two load insertion strategies: an uniform random distribution of loads and a Cohen-like immunizationstrategy (one node is selected with a uniform probability p and one of its first neighbours, randomly selected,receives the load). Both strategies may be classified as local strategies but the resulting effects are qualitativelydifferent. Evaluating the physical quantities as a function of time we observe that for the random distributionstrategy there is a crossover from a fully connected cluster to a non-connected state in the sense that all linksbecome unavailable. On the other hand, following the Cohen-like strategy we found a sudden change in transportproperties which is may be interpreted as a percolation-like transition induced by the cumulative process of load 2007 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46437814 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.4 Vol.37
title	Dynamic Modeling of Overload in Scale Free Networks
topic	Física, Astronomía y Matemáticas Percolation Load Management Transport Networks
url	https://www.redalyc.org/articulo.oa?id=46437814

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