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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2013 Issue 10, Pages 23–35 (Mi at6146)

This article is cited in 10 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

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, 74:10, 1620–1629

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