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Burke's theorem on passage times in Gordon–Newell networks

Published online by Cambridge University Press:  01 July 2016

Hans Daduna
Hans Daduna*
Affiliation:
Technische Universität Berlin
*
∗ Present address: Institut für Mathematische Stochastik der Universität Hamburg, Bundes-strasse 55, 2000 Hamburg 13, West Germany.
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Abstract

In a closed cycle of exponential queues where the first and the last nodes are multiserver queues while the other nodes are single-server queues, the cycle-time distribution has a simple product form. The same result holds for passage-time distributions on overtake-free paths in Gordon–Newell networks. In brief, we prove Burke's theorem on passage times in closed networks.

Keywords

CYCLIC QUEUESMULTISERVER QUEUESCYCLE TIMES

Information

Type
Research Article
Information
Advances in Applied Probability , Volume 16 , Issue 4 , December 1984 , pp. 867 - 886
Copyright
Copyright © Applied Probability Trust 1984 

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