Avtomatika i Telemekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Avtomat. i Telemekh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Avtomatika i Telemekhanika, 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
Full-text PDF (180 kB) Citations (4)
References:
PDF
HTML
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.
Presented by the member of Editorial Board: S. F. Yashkov

Received: 12.05.2009
English version:
Automation and Remote Control, 2009, Volume 70, Issue 12, Pages 1992–2002
DOI: https://doi.org/10.1134/S0005117909120078
Bibliographic databases:
Document Type: Article
PACS: 02.50.Cw, 02.50.Ga
Language: Russian
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
\Bibitem{Ver09}
\by A.~Yu.~Veretennikov
\paper On mixing rate and convegence to stationary regime in discrete time Erlang problem
\jour Avtomat. i Telemekh.
\yr 2009
\issue 12
\pages 59--70
\mathnet{http://mi.mathnet.ru/at574}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2641055}
\zmath{https://zbmath.org/?q=an:1180.93097}
\transl
\jour Autom. Remote Control
\yr 2009
\vol 70
\issue 12
\pages 1992--2002
\crossref{https://doi.org/10.1134/S0005117909120078}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000273307900007}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-73849093516}
Linking options:
  • https://www.mathnet.ru/eng/at574
  • https://www.mathnet.ru/eng/at/y2009/i12/p59
    • This publication is cited in the following 4 articles:
    1. 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
    2. 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
    3. 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
    4. 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
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
    Statistics & downloads:
    Abstract page:387
    Full-text PDF :147
    References:65
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025