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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
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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