DocumentCode
45227
Title
Statistical characteristics of queue with fractional Brownian motion input
Author
Chen, J. ; Bhatia, H.S. ; Addie, R.G. ; Zukerman, M.
Author_Institution
Dept. of Electron. Eng., City Univ. of Hong Kong, Kowloon, China
Volume
51
Issue
9
fYear
2015
fDate
4 30 2015
Firstpage
699
Lastpage
701
Abstract
The factional Brownian motion has attracted significant attention because it accurately represents Internet traffic characteristics and is amenable to analysis. A link between the probability density function of the steady-state queue size of a queue with a fractional Brownian input and the generalised Gamma distribution is discovered, and the mean, variance, third central moment and skewness are provided. New simulation results that validate the accuracy of these queueing statistics are also provided.
Keywords
Brownian motion; Internet; gamma distribution; queueing theory; telecommunication traffic; Internet traffic characteristics; fractional Brownian motion input; generalised Gamma distribution; mean; probability density function; queue statistical characteristics; skewness; steady-state queue size; third central moment; variance;
fLanguage
English
Journal_Title
Electronics Letters
Publisher
iet
ISSN
0013-5194
Type
jour
DOI
10.1049/el.2015.0349
Filename
7095674
Link To Document