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A family of delay-dependent dynamic priority queueing systems

Published online by Cambridge University Press:  01 July 2016

P. K. Reeser
P. K. Reeser*
Affiliation:
Bell Laboratories, Holmdeh
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Extract

We consider a family of single-server queueing systems with two priority classes. The system operates under a dynamic priority queue discipline in which the relative priorities of customers increase with their waiting times, and which can be characterized by the urgency number. We investigate the transient as well as the steady-state behavior of the virtual waiting times of the two classes of customer as functions of the urgency number. Stochastic orderings, the joint distribution, and surprising limit results for these processes are obtained for the first time.

Type
Applied Probability in Biology and Engineering. An ORSA/TIMS Special Interest Meeting
Information
Advances in Applied Probability , Volume 16 , Issue 1 , March 1984 , pp. 9
Copyright
Copyright © Applied Probability Trust 1984 

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