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

This article is cited in 4 scientific papers (total 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.

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

Bibliographic databases:

PACS: 02.50.Cw, 02.50.Ga
Presented by the member of Editorial Board: . . 

Received: 12.05.2009

Citation: A. Yu. Veretennikov, “On mixing rate and convegence to stationary regime in discrete time Erlang problem”, Avtomat. i Telemekh., 2009, no. 12, 59–70; Autom. Remote Control, 70:12 (2009), 1992–2002

Citation in format AMSBIB
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\paper On mixing rate and convegence to stationary regime in discrete time Erlang problem
\jour Avtomat. i Telemekh.
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\issue 12
\pages 59--70
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\transl
\jour Autom. Remote Control
\yr 2009
\vol 70
\issue 12
\pages 1992--2002
\crossref{https://doi.org/10.1134/S0005117909120078}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. Yu. Veretennikov, “On the rate of beta-mixing and convergence to a stationary distribution in continuous-time Erlang-type systems”, Problems Inform. Transmission, 46:4 (2010), 382–389  mathnet  crossref  mathscinet  isi
    2. Veretennikov A.Yu., “On the Rate of Convergence for Infinite Server Erlang-Sevastyanov's Problem”, Queueing Syst., 76:2, SI (2014), 181–203  crossref  mathscinet  zmath  isi  elib  scopus
    3. Alcala Garrido H.A., Rivero-Angeles M.E., Aguirre Anaya E., Cruz-Perez F.A., Lirio Castellanos-Lopez S., Hernandez-Valdez G., “Performance Analysis of a Wireless Sensor Network With Cognitive Radio Capabilities in Structural Health Monitoring Applications: a Discrete Model”, Int. J. Distrib. Sens. Netw., 14:5 (2018), 1550147718774001  crossref  isi  scopus
    4. Alcala' Garrido H.A., Rivero-Angeles M.E., Aguirre Anaya E., “Primary User Emulation in Cognitive Radio-Enabled Wsns For Structural Health Monitoring: Modeling and Attack Detection”, J. Sens., 2019, 6950534  crossref  isi
  • Avtomatika i Telemekhanika
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