Statistical characteristics of queue with fractional Brownian motion input

Article

Chen, J., Bhatia, H. S., Addie, R. G. and Zukerman, M.. 2015. "Statistical characteristics of queue with fractional Brownian motion input." Electronics Letters. 51 (9), pp. 699-701. https://doi.org/10.1049/el.2015.0349
Article Title

Statistical characteristics of queue with fractional Brownian motion input

ERA Journal ID4411
Article CategoryArticle
AuthorsChen, J. (Author), Bhatia, H. S. (Author), Addie, R. G. (Author) and Zukerman, M. (Author)
Journal TitleElectronics Letters
Journal Citation51 (9), pp. 699-701
Number of Pages3
Year2015
Place of PublicationUnited Kingdom
ISSN0013-5194
1350-911X
Digital Object Identifier (DOI)https://doi.org/10.1049/el.2015.0349
Web Address (URL)https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7095674
Abstract

The factional Brownian motion has attracted significant attention because it accurately represents Internet traffic characteristics and is amenable to analysis. In this letter, we discover 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, and provide the mean, variance, third central moment and skewness. We also provide new simulation results which validate the accuracy of these queueing statistics.

Keywordsfractional Brownian motion
ANZSRC Field of Research 2020490108. Operations research
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Institution of OriginUniversity of Southern Queensland
Byline AffiliationsCity University of Hong Kong, China
Department of Mathematics and Computing
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