Abstract
Open AccessOpen Access licenseAboutSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InEmail Go to SectionOpen AccessOpen Access license HomeStochastic SystemsVol. 1, No. 2 On the Superposition of Heterogeneous Traffic at Large Time ScalesLuis López-Oliveros, Sidney I. ResnickLuis López-Oliveros, Sidney I. ResnickPublished Online:28 Jul 2011https://doi.org/10.1287/10-SSY023AbstractVarious empirical and theoretical studies indicate that cumulative network traffic is a Gaussian process. However, depending on whether the intensity at which sessions are initiated is large or small relative to the session duration tail, [25] and [15] have shown that traffic at large time scales can be approximated by either fractional Brownian motion (fBm) or stable Lévy motion. We study distributional properties of cumulative traffic that consists of a finite number of independent streams and give an explanation of why Gaussian examples abound in practice but not stable Lévy motion. We offer an explanation of how much vertical aggregation is needed for the Gaussian approximation to hold. Our results are expressed as limit theorems for a sequence of cumulative traffic processes whose session initiation intensities satisfy growth rates similar to those used in [25]. Back to Top Next FiguresReferencesRelatedInformation Volume 1, Issue 2December 2011Pages 209-436 Article Information Metrics Downloaded 85 times in the past 12 months Information Received:November 01, 2010Published Online:July 28, 2011 Copyright © 2011, The author(s)Cite asLuis López-Oliveros, Sidney I. Resnick (2011) On the Superposition of Heterogeneous Traffic at Large Time Scales. Stochastic Systems 1(2):209-245. https://doi.org/10.1287/10-SSY023 PDF download
Highlights
Collection of data network measurements often uses an algorithm for clustering packets with the same source and destination IP addresses
Various empirical and theoretical studies indicate that cumulative network traffic is a Gaussian process
We offer an explanation of how much vertical aggregation is needed for the Gaussian approximation to hold
Summary
To cite this article: Luis López-Oliveros, Sidney I. Full terms and conditions of use: https://pubsonline.informs.org/Publications/Librarians-Portal/PubsOnLine-Terms-andConditions. The Publisher does not warrant or guarantee the article’s accuracy, completeness, merchantability, fitness for a particular purpose, or non-infringement. Descriptions of, or references to, products or publications, or inclusion of an advertisement in this article, neither constitutes nor implies a guarantee, endorsement, or support of claims made of that product, publication, or service. With 12,500 members from nearly 90 countries, INFORMS is the largest international association of operations research (O.R.) and analytics professionals and students. INFORMS provides unique networking and learning opportunities for individual professionals, and organizations of all types and sizes, to better understand and use O.R. and analytics tools and methods to transform strategic visions and achieve better outcomes. For more information on INFORMS, its publications, membership, or meetings visit http://www.informs.org
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