Local Diffusion Approximation of the State Changing Process of an Unstable Random Access Network in a Neighborhood of the Asymptotic Mean

Local Diffusion Approximation of the State Changing Process of an Unstable Random Access Network... A mathematical non-Markovian model of an unstable random access network is investigated by the asymptotic analysis method. A random process is constructed which approximates the values of deviations of the normalized number of messages from the asymptotic mean. This process is shown to be Gaussian; explicit expressions for its drift coefficients, diffusion, and other characteristics are obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Local Diffusion Approximation of the State Changing Process of an Unstable Random Access Network in a Neighborhood of the Asymptotic Mean

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Publisher
Kluwer Academic Publishers-Plenum Publishers
Copyright
Copyright © 2004 by MAIK “Nauka/Interperiodica”
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1023/B:PRIT.0000024883.88259.36
Publisher site
See Article on Publisher Site

Abstract

A mathematical non-Markovian model of an unstable random access network is investigated by the asymptotic analysis method. A random process is constructed which approximates the values of deviations of the normalized number of messages from the asymptotic mean. This process is shown to be Gaussian; explicit expressions for its drift coefficients, diffusion, and other characteristics are obtained.

Journal

Problems of Information TransmissionSpringer Journals

Published: Oct 20, 2004

References

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