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Stability of a Processor-Sharing Queue with Varying Throughput

Part of: Probability theory on algebraic and topological structures Special processes Limit theorems

Published online by Cambridge University Press:  14 July 2016

Pascal Moyal
Pascal Moyal*
Affiliation:
UTC Compiègne
*
∗Postal address: Laboratoire de Mathématiques Appliquées de Compiègne, Université de Technologie de Compiègne, Département Génie Informatique, Centre de Recherches de Royallieu, BP 20 529, 60 205 Compiegne Cedex, France. Email address: moyalpas@dma.utc.fr
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Abstract

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In this paper we present a stability criterion for processor-sharing queues, in which the throughput may depend on the number of customers in the system (such as in the case of interferences between users). Such a system is represented by a point measure-valued stochastic recursion keeping track of the remaining processing times of the customers.

Keywords

Queueing systemstabilitymeasure-valued processstochastic recurrenceprocessor sharing

MSC classification

Secondary: 60F17: Functional limit theorems; invariance principles 60K25: Queueing theory 60B12: Limit theorems for vector-valued random variables (infinite-dimensional case)
Type
Research Article
Information
Journal of Applied Probability , Volume 45 , Issue 4 , December 2008 , pp. 953 - 962
Copyright
Copyright © Applied Probability Trust 2008 

References

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