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Stationary and stability of fork-join networks

Published online by Cambridge University Press:  14 July 2016

Panagiotis Konstantopoulos  and
Jean Walrand
Panagiotis Konstantopoulos
Affiliation:
University of California, Berkeley
Jean Walrand*
Affiliation:
University of California, Berkeley
*
∗Postal address for both authors: Department of Electrical Engineering and Computer Sciences and Electronics Research Laboratory, University of California, Berkeley CA 94720, USA.
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Abstract

We consider a fork-join network with arrival and service times forming a stationary and ergodic process. The usual stability condition, namely that the input rate is strictly less than all the service rates, is proved to be valid in this general case. Finally we extend the result to the case where there is random routing.

Keywords

STATIONARY POINT PROCESSESPALM TRANSFORMATIONQUEUEING NETWORKS
Type
Research Papers
Information
Journal of Applied Probability , Volume 26 , Issue 3 , September 1989 , pp. 604 - 614
Copyright
Copyright © Applied Probability Trust 1989 

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