Trudy Petrozavodskogo Gosudarstvennogo Universiteta. Seriya Matematika
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Trudy Petrozavodskogo Gosudarstvennogo Universiteta. Seriya Matematika, 1996, Issue 3, Pages 3–10 (Mi pa133)  

The stationary distribution of the length of the queue in a system with non-ordinary flow and the discipline of processor sharing

O. Yu. Bogoyavlenskaya
Abstract: In this paper a queue with one service device, requirements loss, bulk arrival and processor sharing discipline is considered. We have constructed discontinuous Marcovian process to describe behavior of analyzed queue using Erlangian phase method. The theorem has been proved about form of analitical solution of equilibrium equations and stable distribution of queue length has been obtained on that base.
Received: 01.03.1996
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: O. Yu. Bogoyavlenskaya, “The stationary distribution of the length of the queue in a system with non-ordinary flow and the discipline of processor sharing”, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 1996, no. 3, 3–10
Citation in format AMSBIB
\Bibitem{Bog96}
\by O.~Yu.~Bogoyavlenskaya
\paper The stationary distribution of the length of the queue in a system with non-ordinary flow and the discipline of processor sharing
\jour Tr. Petrozavodsk. Gos. Univ. Ser. Mat.
\yr 1996
\issue 3
\pages 3--10
\mathnet{http://mi.mathnet.ru/pa133}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1635155}
\zmath{https://zbmath.org/?q=an:0925.60116}
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