Method of asymptotic semiinvariants for studying a mathematical model of a random access network

Method of asymptotic semiinvariants for studying a mathematical model of a random access network To study a mathematical model of a random access network with a finite number of sources, retrials, and a conflict warning stage, we propose a method of asymptotic semiinvariants under a growing number of sources, which allows us to find the asymptotic probability distribution of the number of requests in a retrial pool. We present results of numerical implementation of a prelimit distribution of the number of requests in the retrial pool. We compare the prelimit and asymptotic semiinvariants. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Method of asymptotic semiinvariants for studying a mathematical model of a random access network

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Publisher
SP MAIK Nauka/Interperiodica
Copyright
Copyright © 2010 by Pleiades Publishing, Ltd.
Subject
Engineering; Systems Theory, Control; Information Storage and Retrieval; Electrical Engineering; Communications Engineering, Networks
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946010010072
Publisher site
See Article on Publisher Site

Abstract

To study a mathematical model of a random access network with a finite number of sources, retrials, and a conflict warning stage, we propose a method of asymptotic semiinvariants under a growing number of sources, which allows us to find the asymptotic probability distribution of the number of requests in a retrial pool. We present results of numerical implementation of a prelimit distribution of the number of requests in the retrial pool. We compare the prelimit and asymptotic semiinvariants.

Journal

Problems of Information TransmissionSpringer Journals

Published: Apr 23, 2010

References

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