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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2009 Issue 12, Pages 59–70 (Mi at574)

This article is cited in 4 papers

Classical Models of the Queuing Theory and Generalizations

On mixing rate and convegence to stationary regime in discrete time Erlang problem

A. Yu. Veretennikovab

a School of Mathematics, University of Leeds, United Kingdom
b Institute for Information Transmission Problems (Kharkevich Institute), Russian Academy of Sciences, Moscow, Russia

Abstract: Sufficient conditions for polynomial convergence rate to the stationary regime and beta-mixing for some classes of ergodic discrete time birth-death processes are established.

PACS: 02.50.Cw, 02.50.Ga

Presented by the member of Editorial Board: S. F. Yashkov

Received: 12.05.2009


 English version:
Automation and Remote Control, 2009, 70:12, 1992–2002

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