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Avtomatika i Telemekhanika, 2013, Issue 10, Pages 23–35 (Mi at6146)  
This article is cited in 9 scientific papers (total in 9 papers)

Topical issue

On the rate of convergence to the stationary distribution in the single-server queuing systems

A. Yu. Veretennikovab

a Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia
b School of Mathematics, University of Leeds, Leeds, UK
Full-text PDF (218 kB) Citations (9)
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Abstract: For a version of the single-server infinite-buffer queuing system which is much more general than $M/G/1$, the results on the rate of convergence to the stationary mode were reviewed in brief. New sufficient conditions guaranteeing the polynomial estimate of the rate of convergence were established using the “Markovization” method.
Presented by the member of Editorial Board: A. V. Bernshtein

Received: 11.03.2013
English version:
Automation and Remote Control, 2013, Volume 74, Issue 10, Pages 1620–1629
DOI: https://doi.org/10.1134/S0005117913100032
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. Yu. Veretennikov, “On the rate of convergence to the stationary distribution in the single-server queuing systems”, Avtomat. i Telemekh., 2013, no. 10, 23–35; Autom. Remote Control, 74:10 (2013), 1620–1629
Citation in format AMSBIB
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\pages 1620--1629
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  • https://www.mathnet.ru/eng/at/y2013/i10/p23
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :49
    References:38
    First page:24
     
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