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Avtomatika i Telemekhanika, 1979, Issue 11, Pages 66–75 (Mi at9567)  
Stochastic Systems

Two-phase service systems with one input flow of requests

S. Ya. Vilenkin, A. G. Fedotov

Moscow
Full-text PDF (1609 kB)
Abstract: The two-phase service system of the paper has an arbitrary number of servers in both phases, a buffer of an arbitrary length between the phases, blocking the first phase once the buffer is full, and with feedbacks between the phases. A numerical method is shown for this system, the maximal system throughput is found, and possible applicability of the method is discussed to systems with an Erlang service duration distribution function in the second phase.

Received: 28.12.1978
Bibliographic databases:
Document Type: Article
UDC: 65.012:122
Language: Russian
Citation: S. Ya. Vilenkin, A. G. Fedotov, “Two-phase service systems with one input flow of requests”, Avtomat. i Telemekh., 1979, no. 11, 66–75; Autom. Remote Control, 40:11 (1980), 1609–1616
Citation in format AMSBIB
\Bibitem{VilFed79}
\by S.~Ya.~Vilenkin, A.~G.~Fedotov
\paper Two-phase service systems with one input flow of requests
\jour Avtomat. i Telemekh.
\yr 1979
\issue 11
\pages 66--75
\mathnet{http://mi.mathnet.ru/at9567}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=575009}
\zmath{https://zbmath.org/?q=an:0442.60092}
\transl
\jour Autom. Remote Control
\yr 1980
\vol 40
\issue 11
\pages 1609--1616
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