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Stability of a Processor-Sharing Queue with Varying Throughput

Published online by Cambridge University Press:  14 July 2016

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: [email protected]
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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.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 2008 

References

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