On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
Self-similarity in World Wide Web traffic: evidence and possible causes
IEEE/ACM Transactions on Networking (TON)
Evidence for long-tailed distributions in the internet
IMW '01 Proceedings of the 1st ACM SIGCOMM Workshop on Internet Measurement
Modeling and analysis of power-tail distributions via classical teletraffic methods
Queueing Systems: Theory and Applications
The Importance of Power-Tail Distributions for Modeling Queueing Systems
Operations Research
Fitting world-wide web request traces with the EM-algorithm
Performance Evaluation - Special issue: Internet performance and control of network systems
LCN '98 Proceedings of the 23rd Annual IEEE Conference on Local Computer Networks
An EM-based technique for approximating long-tailed data sets with PH distributions
Performance Evaluation - Internet performance symposium (IPS 2002)
Reversibility and Stochastic Networks
Reversibility and Stochastic Networks
Traffic analysis of a Web proxy caching hierarchy
IEEE Network: The Magazine of Global Internetworking
A workload characterization study of the 1998 World Cup Web site
IEEE Network: The Magazine of Global Internetworking
Cluster-based fitting of phase-type distributions to empirical data
Computers & Mathematics with Applications
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The long-tailed distribution characterizes many properties of Internet traffic. The property is often modeled by Lognormal distribution, Weibull or Pareto distribution theoretically. However, it hinders us in traffic analysis and evaluation studies directly from these models due to their complex representations and theoretical properties. This paper proposes a Hyper-Erlang Model (Mixed Erlang distribution) for such long-tailed network traffic approximation. It fits network traffic with long-tailed characteristic into a mixed Erlang distribution directly to facilitate our further analysis. Compared with the well-known hyperexponential based method, the mixed Erlang model is more accurate in fitting the tail behavior and also computationally efficient.