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Problemy Peredachi Informatsii, 2010, Volume 46, Issue 1, Pages 94–111 (Mi ppi2011)  
This article is cited in 14 scientific papers (total in 14 papers)

Communication Network Theory

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

A. A. Nazarov, E. A. Sudyko

Tomsk State University
Full-text PDF (266 kB) Citations (14)
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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.
Received: 25.06.2009
Revised: 07.12.2009
English version:
Problems of Information Transmission, 2010, Volume 46, Issue 1, Pages 86–102
DOI: https://doi.org/10.1134/S0032946010010072
Bibliographic databases:
Document Type: Article
UDC: 621.394.74+519.872
Language: Russian
Citation: A. A. Nazarov, E. A. Sudyko, “Method of asymptotic semiinvariants for studying a mathematical model of a random access network”, Probl. Peredachi Inf., 46:1 (2010), 94–111; Problems Inform. Transmission, 46:1 (2010), 86–102
Citation in format AMSBIB
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\pages 94--111
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    References:59
    First page:14
     
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