Performance evaluation of a queue fed by a Poisson Lomax Burst process

Article

Chen, Jiongze, Addie, Ronald G., Zukerman, Moshe and Neame, Timothy D.. 2015. "Performance evaluation of a queue fed by a Poisson Lomax Burst process." IEEE Communications Letters. 19 (3), pp. 367-370. https://doi.org/10.1109/LCOMM.2014.2385083
Article Title

Performance evaluation of a queue fed by a Poisson Lomax Burst process

ERA Journal ID5068
Article CategoryArticle
AuthorsChen, Jiongze (Author), Addie, Ronald G. (Author), Zukerman, Moshe (Author) and Neame, Timothy D. (Author)
Journal TitleIEEE Communications Letters
Journal Citation19 (3), pp. 367-370
Number of Pages4
Year2015
Place of PublicationUnited States
ISSN1089-7798
1558-2558
Digital Object Identifier (DOI)https://doi.org/10.1109/LCOMM.2014.2385083
Web Address (URL)https://ieeexplore.ieee.org/document/6994748
Abstract

We consider a special case of the M/G/∞ traffic process, named as Poisson Lomax Burst Process (PLBP), where the burst lengths follow the Lomax distribution. We illustrate its advantage in modelling Internet traffic flow sizes, particularly, its ability to capture a large number of small flows. We provide two approximations based on analytical and fast simulation methods for the overflow probability of a single server queue fed by PLBP, and illustrate their accuracy by discrete-event simulations.

Keywordslong range dependence process; Pareto; Lomax; queueing analysis; traffic modelling
Contains Sensitive ContentDoes not contain sensitive content
ANZSRC Field of Research 2020400602. Data communications
400604. Network engineering
490199. Applied mathematics not elsewhere classified
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Institution of OriginUniversity of Southern Queensland
Byline AffiliationsCity University of Hong Kong, China
School of Agricultural, Computational and Environmental Sciences
Telstra, Australia
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