Analysis of the Refined Mean-Field Approximation for the 802.11 Protocol Model

Mean-field approximation is a method to investigate the behavior of stochastic models formed by a large number of interacting objects. A new approximation was recently established, i.e., the refined mean-field approximation, and its high accuracy when the number of objects is small has been shown. I...

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Detalles Bibliográficos
Autores principales: Ispizua, Begoña, Doncel, Josu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9699025/
https://www.ncbi.nlm.nih.gov/pubmed/36433349
http://dx.doi.org/10.3390/s22228754
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author Ispizua, Begoña
Doncel, Josu
author_facet Ispizua, Begoña
Doncel, Josu
author_sort Ispizua, Begoña
collection PubMed
description Mean-field approximation is a method to investigate the behavior of stochastic models formed by a large number of interacting objects. A new approximation was recently established, i.e., the refined mean-field approximation, and its high accuracy when the number of objects is small has been shown. In this work, we consider the model of the 802.11 protocol, which is a discrete-time model and show how the refined mean-field approximation can be adapted to this model. Our results confirm the accuracy of the refined mean-field approximation when the model with N objects is in discrete time.
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spelling pubmed-96990252022-11-26 Analysis of the Refined Mean-Field Approximation for the 802.11 Protocol Model Ispizua, Begoña Doncel, Josu Sensors (Basel) Article Mean-field approximation is a method to investigate the behavior of stochastic models formed by a large number of interacting objects. A new approximation was recently established, i.e., the refined mean-field approximation, and its high accuracy when the number of objects is small has been shown. In this work, we consider the model of the 802.11 protocol, which is a discrete-time model and show how the refined mean-field approximation can be adapted to this model. Our results confirm the accuracy of the refined mean-field approximation when the model with N objects is in discrete time. MDPI 2022-11-12 /pmc/articles/PMC9699025/ /pubmed/36433349 http://dx.doi.org/10.3390/s22228754 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Ispizua, Begoña
Doncel, Josu
Analysis of the Refined Mean-Field Approximation for the 802.11 Protocol Model
title Analysis of the Refined Mean-Field Approximation for the 802.11 Protocol Model
title_full Analysis of the Refined Mean-Field Approximation for the 802.11 Protocol Model
title_fullStr Analysis of the Refined Mean-Field Approximation for the 802.11 Protocol Model
title_full_unstemmed Analysis of the Refined Mean-Field Approximation for the 802.11 Protocol Model
title_short Analysis of the Refined Mean-Field Approximation for the 802.11 Protocol Model
title_sort analysis of the refined mean-field approximation for the 802.11 protocol model
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9699025/
https://www.ncbi.nlm.nih.gov/pubmed/36433349
http://dx.doi.org/10.3390/s22228754
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AT donceljosu analysisoftherefinedmeanfieldapproximationforthe80211protocolmodel

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