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Problemy Peredachi Informatsii, 2003, Volume 39, Issue 3, Pages 87–94 (Mi ppi310)  
This article is cited in 3 scientific papers (total in 3 papers)

Communication Network Theory

The Gated Infinite-Server Queue with Unbounded Service Times and Heavy Traffic

A. V. Lebedev

M. V. Lomonosov Moscow State University
Full-text PDF (753 kB) Citations (3)
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Abstract: A queueing system with infinitely many servers is considered where access of customers to service is controlled by a gate. The gate is open only if all servers are free. Customers are served in stages. We study the asymptotic behavior of the number of customers served in a stage and of the stage duration in the heavy traffic regime in the case where the service time distribution belongs to the attraction domain of a double exponential law.
Received: 07.06.2002
English version:
Problems of Information Transmission, 2003, Volume 39, Issue 3, Pages 309–316
DOI: https://doi.org/10.1023/A:1026170700588
Bibliographic databases:
Document Type: Article
UDC: 519.872
Language: Russian
Citation: A. V. Lebedev, “The Gated Infinite-Server Queue with Unbounded Service Times and Heavy Traffic”, Probl. Peredachi Inf., 39:3 (2003), 87–94; Problems Inform. Transmission, 39:3 (2003), 309–316
Citation in format AMSBIB
\Bibitem{Leb03}
\by A.~V.~Lebedev
\paper The Gated Infinite-Server Queue with Unbounded Service Times and
Heavy Traffic
\jour Probl. Peredachi Inf.
\yr 2003
\vol 39
\issue 3
\pages 87--94
\mathnet{http://mi.mathnet.ru/ppi310}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2099863}
\zmath{https://zbmath.org/?q=an:1074.68530}
\transl
\jour Problems Inform. Transmission
\yr 2003
\vol 39
\issue 3
\pages 309--316
\crossref{https://doi.org/10.1023/A:1026170700588}
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  • https://www.mathnet.ru/eng/ppi/v39/i3/p87
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    Abstract page:244
    Full-text PDF :85
    References:43
    First page:1
     
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