Tail behaviour of the busy period of a GI/GI/1 queue with subexponential service times
Date
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
Citation
Collections
Source
Stochastic Processes and their Applications
Type
Book Title
Entity type
Access Statement
License Rights
Restricted until
2037-12-31
Downloads
File
Description