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Problemy Peredachi Informatsii, 1999, Volume 35, Issue 2, Pages 100–106 (Mi ppi447)  
Communication Network Theory

Variance of the Number of Departed Messages in a Simple Queueing System

A. I. Ovseevich
Full-text PDF (602 kB)
Abstract: We study a simple queueing facility consisting of two servers in tandem, separated by a finite buffer. The servers are independent and their sequences of up/down modes are Bernoullian. The input flow is deterministic (one new message per time unit). We compute explicitly the coefficient $A$ in the asymptotics $\mathbf D(T)\sim AT$ of the covariance of the number of departed messages per interval $[0,T]$.
Received: 09.12.1998
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.2
Language: Russian
Citation: A. I. Ovseevich, “Variance of the Number of Departed Messages in a Simple Queueing System”, Probl. Peredachi Inf., 35:2 (1999), 100–106; Problems Inform. Transmission, 35:2 (1999), 180–185
Citation in format AMSBIB
\Bibitem{Ovs99}
\by A.~I.~Ovseevich
\paper Variance of the Number of Departed Messages in a~Simple Queueing System
\jour Probl. Peredachi Inf.
\yr 1999
\vol 35
\issue 2
\pages 100--106
\mathnet{http://mi.mathnet.ru/ppi447}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1728912}
\zmath{https://zbmath.org/?q=an:0954.60079}
\transl
\jour Problems Inform. Transmission
\yr 1999
\vol 35
\issue 2
\pages 180--185
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