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Mathematical Problems in Engineering
Volume 2013, Article ID 217213, 8 pages
http://dx.doi.org/10.1155/2013/217213
Research Article

Stationarity Testing of Accumulated Ethernet Traffic

1School of Finance and Statistics, East China Normal University, No. 500, Dong-Chuan Road, Shanghai 200241, China
2School of Information Science and Technology, East China Normal University, No. 500, Dong-Chuan Road, Shanghai 200241, China
3Department of Computer and Information Science, University of Macau, Av. Padre Tomas Pereira, Taipa, Macau

Received 26 January 2013; Revised 12 March 2013; Accepted 13 March 2013

Academic Editor: Shengyong Chen

Copyright © 2013 Zhiping Lu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We investigate the stationarity property of the accumulated Ethernet traffic series. We applied several widely used stationarity and unit root tests, such as Dickey-Fuller test and its augmented version, Phillips-Perron test, as well as the Kwiatkowski-Phillips-Schmidt-Shin test and some of its generalizations, to the assessment of the stationarity of the traffic traces at the different time scales. The quantitative results in this research provide evidence that when the time scale increases, the accumulated traffic series are more stationary.