Scale functions of Lévy processes and busy periods of finite-capacity M/GI/1 queues

Author:

Dube Parijat,Guillemin Fabrice,Mazumdar Ravi R.

Abstract

In this paper we use the exit time theory for Lévy processes to derive new closed-form results for the busy period distribution of finite-capacity fluid M/G/1 queues. Based on this result, we then obtain the busy period distribution for finite-capacity queues with on–off inputs when the off times are exponentially distributed.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference11 articles.

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