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mBm-Based Scalings of Traffic Propagated in Internet
Joint Authors
Li, Ming
Zhao, Wei
Chen, Sheng-yong
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-20
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
Scaling phenomena of the Internet traffic gain people's interests, ranging from computer scientists to statisticians.
There are two types of scales.
One is small-time scaling and the other large-time one.
Tools to separately describe them are desired in computer communications, such as performance analysis of network systems.
Conventional tools, such as the standard fractional Brownian motion (fBm), or its increment process, or the standard multifractional fBm (mBm) indexed by the local Hölder function H(t) may not be enough for this purpose.
In this paper, we propose to describe the local scaling of traffic by using D(t) on a point-by-point basis and to measure the large-time scaling of traffic by using E[H(t)] on an interval-by-interval basis, where E implies the expectation operator.
Since E[H(t)] is a constant within an observation interval while D(t) is random in general, they are uncorrelated with each other.
Thus, our proposed method can be used to separately characterize the small-time scaling phenomenon and the large one of traffic, providing a new tool to investigate the scaling phenomena of traffic.
American Psychological Association (APA)
Li, Ming& Zhao, Wei& Chen, Sheng-yong. 2010. mBm-Based Scalings of Traffic Propagated in Internet. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-468274
Modern Language Association (MLA)
Li, Ming…[et al.]. mBm-Based Scalings of Traffic Propagated in Internet. Mathematical Problems in Engineering No. 2011 (2011), pp.1-21.
https://search.emarefa.net/detail/BIM-468274
American Medical Association (AMA)
Li, Ming& Zhao, Wei& Chen, Sheng-yong. mBm-Based Scalings of Traffic Propagated in Internet. Mathematical Problems in Engineering. 2010. Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-468274
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468274