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Problemy Peredachi Informatsii, 1991, Volume 27, Issue 2, Pages 15–24 (Mi ppi553)  

Communication Network Theory

Comparative Throughput Analysis of Queueing Networks with Exponential and Deterministic Service Time in the Nodes

A. L. Stolyar
Abstract: We consider a queueing network consisting of $\cdot|M|m$- and $\cdot|GI|\infty$ systems. Poisson arrivals are assumed (if the network is open). We show that the throughput characteristics are not degraded when the exponential service time in one or several $\cdot|M|1$ systems is replaced with a deterministic service time with the same mean: if the network is open, the total number of customers in the modified network is stochastically less that in the original network; if the network is closed, the average load coefficients of the systems in the modified network are not less than in the original network.
Received: 07.12.1989
Bibliographic databases:
Document Type: Article
UDC: 621.394/395.74:519.2
Language: Russian
Citation: A. L. Stolyar, “Comparative Throughput Analysis of Queueing Networks with Exponential and Deterministic Service Time in the Nodes”, Probl. Peredachi Inf., 27:2 (1991), 15–24; Problems Inform. Transmission, 27:2 (1991), 99–107
Citation in format AMSBIB
\Bibitem{Sto91}
\by A.~L.~Stolyar
\paper Comparative Throughput Analysis of Queueing Networks with Exponential and Deterministic Service Time in the Nodes
\jour Probl. Peredachi Inf.
\yr 1991
\vol 27
\issue 2
\pages 15--24
\mathnet{http://mi.mathnet.ru/ppi553}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1135069}
\zmath{https://zbmath.org/?q=an:0741.90020}
\transl
\jour Problems Inform. Transmission
\yr 1991
\vol 27
\issue 2
\pages 99--107
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    Проблемы передачи информации Problems of Information Transmission
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