Cargando…

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...

Descripción completa

Detalles Bibliográficos
Autores principales: Ispizua, Begoña, Doncel, Josu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
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
Descripción
Sumario: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.