Effective bandwidth estimation and testing for Markov sources

This work addresses the resource sharing problem in broadband communication networks that can guarantee some quality of service (QoS), and develops some results about data source and traffic modelling, especially in aspects of model testing and parameter estimation. The multiplexing of variable bit...

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Main Author: Pechiar, Juan (author)
Other Authors: Perera, Gonzalo (author), Simon, María (author)
Format: article
Language:English
Published: 2000
Subjects:
Online Access:https://hdl.handle.net/20.500.12008/20817
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author Pechiar, Juan
author2 Perera, Gonzalo
Simon, María
author2_role author
author
author_browse Pechiar, Juan
Perera, Gonzalo
Simon, María
author_facet Pechiar, Juan
Perera, Gonzalo
Simon, María
author_role author
collection COLIBRI
dc.creator.none.fl_str_mv Pechiar, Juan
Perera, Gonzalo
Simon, María
dc.date.none.fl_str_mv 2000
2019-05-29T15:28:24Z
2019-05-29T15:28:24Z
20190528
dc.identifier.none.fl_str_mv Pechiar, Juan, Perera, Gonzalo, Simon, María. Effective bandwidth estimation and testing for Markov sources [en línea] Performance Evaluation, 2002, v. 48
https://hdl.handle.net/20.500.12008/20817
dc.language.none.fl_str_mv en
eng
dc.publisher.none.fl_str_mv Elsevier
dc.relation.none.fl_str_mv Performance Evaluation, 2002, v. 48
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
dc.source.none.fl_str_mv reponame:COLIBRI
instname:Universidad de la República
instacron:Universidad de la República
dc.subject.none.fl_str_mv Markov sources
Effective bandwidths
Infinitesimal generators
Central limit theorems
Traffic on broadband networks
Real time on ATM
TELECOMUNICACIONES
dc.title.none.fl_str_mv Effective bandwidth estimation and testing for Markov sources
dc.type.none.fl_str_mv Artículo
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
description This work addresses the resource sharing problem in broadband communication networks that can guarantee some quality of service (QoS), and develops some results about data source and traffic modelling, especially in aspects of model testing and parameter estimation. The multiplexing of variable bit rate (VBR) sources poses a mathematical and statistical problem: the estimation of the resource requirements of a source or set of sources. The estimation method shall be simple enough to be practically implemented in the connection acceptance control (CAC) function. In this paper, the VBR video sources are taken as a typical case of variable rate, with real-time constraints. This association of requirements makes the case especially interesting. A Markov model is assumed for the VBR sources. The validity of such models is under research, they seem to be appropriate at least in certain time scales. The model is tested against real video traces. In order to estimate the resource allocation or channel occupation of each source, the concept of equivalent bandwidth proposed by Kelly [Notes on effective bandwidth, in: F.P. Kelly, S. Zachary, I.B. Ziedins (Eds.), Stochastic Networks: Theory and Applications, Oxford University Press, Oxford, 1996, pp. 141] is used, it is based on a consistent mathematical theory, and has proven to be robust and useful for technical applications. A calculation of the equivalent bandwidth of a Markov source, given its parameters, can be found in the literature [IEEE ACM Trans. Networking 1 (4) (1993) 424]. But in fact, one can only estimate model and parameters. In this work, an estimation of the equivalent bandwidth is given, which can be obtained from real data. The convergence and the consistency of the estimation are studied, and practical bounds are found. Illustrative calculations are performed from real video traces that were obtained using a software MPEG coder, developed by the authors. The mathematical and statistical results are valid for whatever phenomenon that can be modelled as a Markov process.
eu_rights_str_mv openAccess
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id anni_ec65db6c22b8fc48616be7938b2cbc4e
identifier_str_mv Pechiar, Juan, Perera, Gonzalo, Simon, María. Effective bandwidth estimation and testing for Markov sources [en línea] Performance Evaluation, 2002, v. 48
instacron_str Universidad de la República
institution Universidad de la República
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language eng
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oai_identifier_str oai:colibri.udelar.edu.uy:20.500.12008/20817
publishDate 2000
publishDateSort 2000
publisher.none.fl_str_mv Elsevier
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spelling Effective bandwidth estimation and testing for Markov sourcesPechiar, JuanPerera, GonzaloSimon, MaríaMarkov sourcesEffective bandwidthsInfinitesimal generatorsCentral limit theoremsTraffic on broadband networksReal time on ATMTELECOMUNICACIONESThis work addresses the resource sharing problem in broadband communication networks that can guarantee some quality of service (QoS), and develops some results about data source and traffic modelling, especially in aspects of model testing and parameter estimation. The multiplexing of variable bit rate (VBR) sources poses a mathematical and statistical problem: the estimation of the resource requirements of a source or set of sources. The estimation method shall be simple enough to be practically implemented in the connection acceptance control (CAC) function. In this paper, the VBR video sources are taken as a typical case of variable rate, with real-time constraints. This association of requirements makes the case especially interesting. A Markov model is assumed for the VBR sources. The validity of such models is under research, they seem to be appropriate at least in certain time scales. The model is tested against real video traces. In order to estimate the resource allocation or channel occupation of each source, the concept of equivalent bandwidth proposed by Kelly [Notes on effective bandwidth, in: F.P. Kelly, S. Zachary, I.B. Ziedins (Eds.), Stochastic Networks: Theory and Applications, Oxford University Press, Oxford, 1996, pp. 141] is used, it is based on a consistent mathematical theory, and has proven to be robust and useful for technical applications. A calculation of the equivalent bandwidth of a Markov source, given its parameters, can be found in the literature [IEEE ACM Trans. Networking 1 (4) (1993) 424]. But in fact, one can only estimate model and parameters. In this work, an estimation of the equivalent bandwidth is given, which can be obtained from real data. The convergence and the consistency of the estimation are studied, and practical bounds are found. Illustrative calculations are performed from real video traces that were obtained using a software MPEG coder, developed by the authors. The mathematical and statistical results are valid for whatever phenomenon that can be modelled as a Markov process.Elsevier2019-05-29T15:28:24Z2019-05-29T15:28:24Z200020190528Artículoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionPechiar, Juan, Perera, Gonzalo, Simon, María. Effective bandwidth estimation and testing for Markov sources [en línea] Performance Evaluation, 2002, v. 48https://hdl.handle.net/20.500.12008/20817reponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaenengPerformance Evaluation, 2002, v. 48Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad De La República. (Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessoai:colibri.udelar.edu.uy:20.500.12008/208172026-04-14T10:14:56Z
spellingShingle Effective bandwidth estimation and testing for Markov sources
Pechiar, Juan
Markov sources
Effective bandwidths
Infinitesimal generators
Central limit theorems
Traffic on broadband networks
Real time on ATM
TELECOMUNICACIONES
status_str publishedVersion
title Effective bandwidth estimation and testing for Markov sources
title_full Effective bandwidth estimation and testing for Markov sources
title_fullStr Effective bandwidth estimation and testing for Markov sources
title_full_unstemmed Effective bandwidth estimation and testing for Markov sources
title_short Effective bandwidth estimation and testing for Markov sources
title_sort Effective bandwidth estimation and testing for Markov sources
topic Markov sources
Effective bandwidths
Infinitesimal generators
Central limit theorems
Traffic on broadband networks
Real time on ATM
TELECOMUNICACIONES
url https://hdl.handle.net/20.500.12008/20817