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Pseudo-conservation laws in cyclic-service systems

Published online by Cambridge University Press:  14 July 2016

O. J. Boxma  and
W. P. Groenendijk
O. J. Boxma
Affiliation:
Centre for Mathematics and Computer Science, Amsterdam
W. P. Groenendijk*
Affiliation:
Centre for Mathematics and Computer Science, Amsterdam
*
∗Postal address: Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands.
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Abstract

This paper considers single-server, multi-queue systems with cyclic service. Non-zero switch-over times of the server between consecutive queues are assumed. A stochastic decomposition for the amount of work in such systems is obtained. This decomposition allows a short derivation of a ‘pseudo-conservation law' for a weighted sum of the mean waiting times at the various queues. Thus several recently proved conservation laws are generalised and explained.

Keywords

QUEUEING SYSTEMSWITCH-OVER TIMESMEAN WAITING TIMECONSERVATION LAW
Type
Research Papers
Information
Journal of Applied Probability , Volume 24 , Issue 4 , December 1987 , pp. 949 - 964
Copyright
Copyright © Applied Probability Trust 1987 

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References

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