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

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Date

2004

Authors

Baltrunas, Alexandrus
Daley, Daryl
Kluppelberg, Claudia

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier

Abstract

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.

Description

Keywords

Keywords: Busy period; GI/GI/1 queue; Precise large deviations; Subexponential distribution; Transient random walk

Citation

URI

http://hdl.handle.net/1885/87036

Collections

ANU Research Publications

Source

Stochastic Processes and their Applications

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1016/j.spa.2004.01.005

Restricted until

2037-12-31

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01_Baltrunas_Tail_behaviour_of_the_busy_2004.pdf (336.68 KB)

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