Network utility problem and easy reliability polynomials
We model a communication system by a network, were the terminals are perfect but links may fail randomly, with identical probability q = 1-p. This defines a partial random network. The all-terminal reliability R(p) is the probability that this random graph is connected, and it is a polynomial in p....
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2016
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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97814673_v_n_p79_Canale http://hdl.handle.net/20.500.12110/paper_97814673_v_n_p79_Canale |
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paper:paper_97814673_v_n_p79_Canale2023-06-08T16:37:39Z Network utility problem and easy reliability polynomials Polynomials All terminal reliability Counting problems Network utility Random graphs Random network Reliability polynomials Reliability We model a communication system by a network, were the terminals are perfect but links may fail randomly, with identical probability q = 1-p. This defines a partial random network. The all-terminal reliability R(p) is the probability that this random graph is connected, and it is a polynomial in p. Finding the reliability polynomial can be reduced to a hard counting problem. © 2016 IEEE. 2016 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97814673_v_n_p79_Canale http://hdl.handle.net/20.500.12110/paper_97814673_v_n_p79_Canale |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Polynomials All terminal reliability Counting problems Network utility Random graphs Random network Reliability polynomials Reliability |
spellingShingle |
Polynomials All terminal reliability Counting problems Network utility Random graphs Random network Reliability polynomials Reliability Network utility problem and easy reliability polynomials |
topic_facet |
Polynomials All terminal reliability Counting problems Network utility Random graphs Random network Reliability polynomials Reliability |
description |
We model a communication system by a network, were the terminals are perfect but links may fail randomly, with identical probability q = 1-p. This defines a partial random network. The all-terminal reliability R(p) is the probability that this random graph is connected, and it is a polynomial in p. Finding the reliability polynomial can be reduced to a hard counting problem. © 2016 IEEE. |
title |
Network utility problem and easy reliability polynomials |
title_short |
Network utility problem and easy reliability polynomials |
title_full |
Network utility problem and easy reliability polynomials |
title_fullStr |
Network utility problem and easy reliability polynomials |
title_full_unstemmed |
Network utility problem and easy reliability polynomials |
title_sort |
network utility problem and easy reliability polynomials |
publishDate |
2016 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97814673_v_n_p79_Canale http://hdl.handle.net/20.500.12110/paper_97814673_v_n_p79_Canale |
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1768543348392460288 |