Problemy Peredachi Informatsii
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Problemy Peredachi Informatsii, 1970, Volume 6, Issue 1, Pages 87–96 (Mi ppi1729)  
A Single-Channel Queueing System with Limited Queueing, Several Input Flows, and Arbitrary Servicing Time

D. G. Mikhalev
Full-text PDF (572 kB)
Abstract: We consider a single-channel queueing system in which there are several input flows with relative servicing priorities and a limited number of queueing positions. The servicing time distribution is assumed to be arbitrary. Recurrence relations are obtained for finding the system-state probabilities. We find the mean waiting time and the mean number of requests in each type of queue. A computational algorithm is found for determining the probability of loss for each type of request.
Received: 22.01.1969
Bibliographic databases:
UDC: 519.152
Language: Russian
Citation: D. G. Mikhalev, “A Single-Channel Queueing System with Limited Queueing, Several Input Flows, and Arbitrary Servicing Time”, Probl. Peredachi Inf., 6:1 (1970), 87–96; Problems Inform. Transmission, 6:1 (1970), 76–84
Citation in format AMSBIB
\Bibitem{Mik70}
\by D.~G.~Mikhalev
\paper A Single-Channel Queueing System with Limited Queueing, Several Input Flows, and Arbitrary Servicing Time
\jour Probl. Peredachi Inf.
\yr 1970
\vol 6
\issue 1
\pages 87--96
\mathnet{http://mi.mathnet.ru/ppi1729}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=310998}
\zmath{https://zbmath.org/?q=an:0274.60074}
\transl
\jour Problems Inform. Transmission
\yr 1970
\vol 6
\issue 1
\pages 76--84
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    		Проблемы передачи информации Problems of Information Transmission
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