EconPapers    
Economics at your fingertips  
 

Heavy tails versus long‐range dependence in self‐similar network traffic

A. Stegeman

Statistica Neerlandica, 2000, vol. 54, issue 3, 293-314

Abstract: Empirical studies of the traffic in computer networks suggest that network traffic exhibits self‐similarity and long‐range dependence. The ON/OFF model considered in this paper gives a simple ‘physical explanation’ for these observed phenomena. The superposition of a large number of ON/OFF sources, such as workstations in a computer lab, with strictly alternating and heavy‐tailed ON‐ and OFF‐periods, can produce a cumulative workload which converges, in a certain sense, to fractional Brownian motion. Fractional Brownian motion exhibits both self‐similarity and long‐range dependence. However, there are two sequential limits involved in this limiting procedure, and if they are reversed, the limiting process is stable Levy motion, which is self‐similar but exhibits no long‐range dependence. We study simulations limit regimes and provide conditions under which either fractional Brownian motion or stable Levy motion appears as limiting process.

Date: 2000
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1111/1467-9574.00142

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:stanee:v:54:y:2000:i:3:p:293-314

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0039-0402

Access Statistics for this article

Statistica Neerlandica is currently edited by Miroslav Ristic, Marijtje van Duijn and Nan van Geloven

More articles in Statistica Neerlandica from Netherlands Society for Statistics and Operations Research
Bibliographic data for series maintained by Wiley Content Delivery ().

 
Page updated 2025-03-19
Handle: RePEc:bla:stanee:v:54:y:2000:i:3:p:293-314