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Theory of Stochastic Processes, 2017, Volume 22(38), Issue 1, Pages 89–103 (Mi thsp174)  
This article is cited in 1 scientific paper (total in 1 paper)

On convergence rate for Erlang–Sevastyanov type models with infinitely many servers. In memory and to the 90th anniversary of A.D. Solovyev (06.09.1927–06.04.2001)

A. Yu. Veretennikovabc

a University of Leeds, UK
b Institute for Information Transmission Problems, Moscow, Russian Federation
c National Research University Higher School of Economics, Moscow, Russian Federation
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Abstract: Polynomial convergence rate to stationarity is shown for extended Erlang–Sevastyanov's model with variable intensities of service and arrivals.
Keywords: Erlang-Sevastyanov systems; Ergodicity; Lyapunov functions; Coupling; Convergence rates.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00633_a
This study has been funded by the Russian Academic Excellence Project '5-100' and by the RFBR grant 17-01-00633$\_$a.
Bibliographic databases:
Document Type: Article
MSC: 60-02; 60K25, 90B22
Language: English
Citation: A. Yu. Veretennikov, “On convergence rate for Erlang–Sevastyanov type models with infinitely many servers. In memory and to the 90th anniversary of A.D. Solovyev (06.09.1927–06.04.2001)”, Theory Stoch. Process., 22(38):1 (2017), 89–103
Citation in format AMSBIB
\Bibitem{Ver17}
\by A.~Yu.~Veretennikov
\paper On convergence rate for Erlang--Sevastyanov type models with infinitely many servers. In memory and to the 90th anniversary of A.D. Solovyev (06.09.1927--06.04.2001)
\jour Theory Stoch. Process.
\yr 2017
\vol 22(38)
\issue 1
\pages 89--103
\mathnet{http://mi.mathnet.ru/thsp174}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3742392}
\zmath{https://zbmath.org/?q=an:1399.60145}
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  • https://www.mathnet.ru/eng/thsp/v22/i1/p89
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Theory of Stochastic Processes
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