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Problemy Peredachi Informatsii, 2007, Volume 43, Issue 3, Pages 105–111 (Mi ppi22)  
This article is cited in 12 scientific papers (total in 12 papers)

Communication Network Theory

Multiuser Multiple-Access System: Stability and Metastability

N. D. Vvedenskayaa, Yu. M. Suhovba

a A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
b Statistical Laboratory, Centre for Mathematical Sciences, University of Cambridge
Full-text PDF (696 kB) Citations (12)
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Abstract: A model of random multi-access system with an ALOHA-type protocol is analyzed when the number $N$ of users is large and the system is overloaded. In the limit as $N\to\infty$, the behavior of the system is described by a nonrandom dynamical system. We give a condition for the dynamical system to have an attractive fixed point and outline cases of several fixed points. The presence of several fixed points indicates that the finite system may exhibit a metastability phenomenon.
Received: 21.02.2007
Revised: 05.06.2007
English version:
Problems of Information Transmission, 2007, Volume 43, Issue 3, Pages 263–269
DOI: https://doi.org/10.1134/S0032946007030088
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:004.7
Language: Russian
Citation: N. D. Vvedenskaya, Yu. M. Suhov, “Multiuser Multiple-Access System: Stability and Metastability”, Probl. Peredachi Inf., 43:3 (2007), 105–111; Problems Inform. Transmission, 43:3 (2007), 263–269
Citation in format AMSBIB
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    Erratum
    This publication is cited in the following 12 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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