Statistical characteristics of queue with fractional Brownian motion input

J. Chen*, H.S. Bhatia, R.G. Addie, M. Zukerman

*Corresponding author for this work

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

4 Citations (Scopus)
60 Downloads (CityUHK Scholars)

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.
Original languageEnglish
Pages (from-to)699-701
JournalElectronics Letters
Volume51
Issue number9
Online published1 Apr 2015
DOIs
Publication statusPublished - Apr 2015

Publisher's Copyright Statement

  • COPYRIGHT TERMS OF DEPOSITED POSTPRINT FILE: © 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. Chen, J., Bhatia, H. S., Addie, R. G., & Zukerman, M. (2015). Statistical characteristics of queue with fractional Brownian motion input. Electronics Letters, 51(9), 699-701. DOI: 10.1049/el.2015.0349

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