Journal of Beijing University of Posts and Telecommunications

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JOURNAL OF BEIJING UNIVERSITY OF POSTS AND TELECOM ›› 2013, Vol. 36 ›› Issue (1): 67-71.doi: 10.13190/jbupt.201301.67.guomj

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An Application of the Poisson Process in a Model of on-off-Line Behavior of Network Users

GUO Min-jie1, LIU Peng2, LIU Fang1, LEI Zhen-ming1   

  1. 1. Beijing Key Laboratory of Network System Architecture and Convergence, Beijing University of Posts and Telecommunications, Beijing 100876, China; 2. Institute of Food and Agricultural Standardization, China National Institute of Standardization, Beijing 100088, China
  • Received:2012-02-28 Revised:2012-09-23 Online:2013-02-28 Published:2013-01-19
  • Contact: Yi-Ting Mai E-mail:wkb@wkb.idv.tw

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Abstract:

A model of asymmetric digital subscriber line (ADSL) on-off-line behavior based on non-homogeneous poisson process is presented. First, a model of ADSL on-off-line behavior is established by formula deduction. Then, the model is used to analyze and calculate the user average probability of logout based on real data from ADSL network. The value is predicted by using the model and analyzed by contrasting with real data. Finally, the change of average probability of logout and continued online in different user group are given by the model. The analysis result shows that the model could give a quantitative description of On-off-line behavior of network users effectively, and will make great effort to anomaly detection for ADSL on-off-line behavior and public opinion survey.

Key words: on-off line, user behavior, poisson process, stochastic process

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