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Avtomat. i Telemekh., 2009, Issue 12, Pages 59–70
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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: Ñ. Ô. ßøêîâ
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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http://mi.mathnet.ru/eng/at574 http://mi.mathnet.ru/eng/at/y2009/i12/p59
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:
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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
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Veretennikov A.Yu., “On the Rate of Convergence for Infinite Server Erlang-Sevastyanov's Problem”, Queueing Syst., 76:2, SI (2014), 181–203
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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
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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
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