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Tail behaviour of the busy period of a GI/GI/1 queue with subexponential service times

Baltrunas, Alexandrus; Daley, Daryl; Kluppelberg, Claudia

Description

This paper considers a stable GI/GI/1 queue with subexponential service time distribution. Under natural assumptions we derive the tail behaviour of the busy period of this queue. We extend the results known for the regular variation case under minimal conditions. Our method of proof is based on a large deviations result for subexponential distributions.

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
URI: http://hdl.handle.net/1885/87036
Source: Stochastic Processes and their Applications
DOI: 10.1016/j.spa.2004.01.005

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