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Avtomatika i Telemekhanika, 1989, Issue 3, Pages 84–98 (Mi at6238)  
This article is cited in 2 scientific papers (total in 2 papers)

Queuing Systems

Extension of the Polaczek — Khinchin formula to 3d stochastic networks

Yu. N. Shul'ga

Donetsk
Full-text PDF (1430 kB) Citations (2)
Abstract: An elementary 3d stochastic queueing network is studied where the flow of moving systems is recurrent and the flows of entries into the systems (network accumulators) are primitive. Recurrent equations are provided which describe the state of the accumulator systems in the regeneration points. A theorem on the mean queue length in regeneration points (an analog of the Polaczek — Khinchin formula) and a theorem on the queueing time distribution density are proved. The little formula for an elementary 3d network is proved.

Received: 30.06.1987
Bibliographic databases:
Document Type: Article
UDC: 519.872.2
Language: Russian
Citation: Yu. N. Shul'ga, “Extension of the Polaczek — Khinchin formula to 3d stochastic networks”, Avtomat. i Telemekh., 1989, no. 3, 84–98; Autom. Remote Control, 50:3 (1989), 355–365
Citation in format AMSBIB
\Bibitem{Shu89}
\by Yu.~N.~Shul'ga
\paper Extension of the Polaczek --- Khinchin formula to 3d stochastic networks
\jour Avtomat. i Telemekh.
\yr 1989
\issue 3
\pages 84--98
\mathnet{http://mi.mathnet.ru/at6238}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=995100}
\zmath{https://zbmath.org/?q=an:0683.90029}
\transl
\jour Autom. Remote Control
\yr 1989
\vol 50
\issue 3
\pages 355--365
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  • https://www.mathnet.ru/eng/at/y1989/i3/p84
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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