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Sojourn times in closed queueing networks

Published online by Cambridge University Press:  01 July 2016

F. P. Kelly  and
P. K. Pollett
F. P. Kelly*
Affiliation:
University of Cambridge
P. K. Pollett*
Affiliation:
University of Cambridge
*
∗Postal address: Statistical Laboratory, 16 Mill Lane, Cambridge CB2 1SB, U.K.
∗∗Present address: Department of Mathematical Statistics and Operational Research, University College, P.O. Box 78, Cardiff CF1 1XL, U.K.
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Abstract

This paper obtains the stationary joint distribution of a customer's sojourn times along an overtake-free path in a closed multiclass Jackson network. The distribution has a simple representation in terms of the product form distribution for the state of the network at an arrival instant.

Keywords

RESPONSE TIMESJACKSON NETWORKSOVERTAKE-FREE PATHS
Type
Research Article
Information
Advances in Applied Probability , Volume 15 , Issue 3 , September 1983 , pp. 638 - 656
Copyright
Copyright © Applied Probability Trust 1983 

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