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Avtomatika i Telemekhanika, 1984, Issue 4, Pages 72–83 (Mi at4665)  
Stochastic Systems

Studies of a two-stage service system with losses due to connection to the first stage and to unreliable servers

V. M. Vishnevsky, V. A. Zharkikh

Moscow
Full-text PDF (1528 kB)
Abstract: A two-stage service system models the protocol of interaction between a connected processor and a central computer. In terms of the Laplace transformation a derivative distribution function of the number of calls at the stages, the distribution of the busy period and the server unloading interval, a generatrix of the distribution of call numbers over the busy period are, found. Expressions are obtained for first moments of these distributions.

Received: 17.11.1981
Bibliographic databases:
Document Type: Article
UDC: 65.012.122
Language: Russian
Citation: V. M. Vishnevsky, V. A. Zharkikh, “Studies of a two-stage service system with losses due to connection to the first stage and to unreliable servers”, Avtomat. i Telemekh., 1984, no. 4, 72–83; Autom. Remote Control, 45:4 (1984), 473–482
Citation in format AMSBIB
\Bibitem{VisZha84}
\by V.~M.~Vishnevsky, V.~A.~Zharkikh
\paper Studies of a two-stage service system with losses due to connection to the first stage and to unreliable servers
\jour Avtomat. i Telemekh.
\yr 1984
\issue 4
\pages 72--83
\mathnet{http://mi.mathnet.ru/at4665}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=765951}
\zmath{https://zbmath.org/?q=an:0553.90047}
\transl
\jour Autom. Remote Control
\yr 1984
\vol 45
\issue 4
\pages 473--482
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