Title

Heavy-tailed asymptotics for a fluid model driven by an M/G/1 queue

Document Type

Journal article

Source Publication

Performance Evaluation

Publication Date

3-2008

Volume

65

Issue

3-4

First Page

227

Last Page

240

Publisher

Elsevier BV

Keywords

Fluid queue, M/G/1, queue, Buffer content, Busy period, Regularly varying function

Abstract

In this paper, an infinite-buffer fluid queue driven by an M/G/1 queue is discussed. The Laplace transform of the distribution of the stationary buffer content is expressed through the minimal positive solution to a crucial equation, similar to the fundamental equation satisfied by the busy period of an M/G/1 queue. Furthermore, the distribution of the stationary buffer content is shown to be regularly varying with index −α+1 if the distribution of the service times is regularly varying with index −α

DOI

10.1016/j.peva.2007.06.022

Print ISSN

01665316

E-ISSN

1872745X

Publisher Statement

Copyright © Elsevier BV 2007. Access to external full text or publisher's version may require subscription.

Full-text Version

Publisher’s Version

Recommended Citation

Li, Q.-L., Liu, L., & Shang, W. (2008). Heavy-tailed asymptotics for a fluid model driven by an M/G/1 queue. Performance Evaluation, 65(3-4), 227-240. doi: 10.1016/j.peva.2007.06.022