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)
Performance Evaluation - Special issue on internet performance modelling
Evidence for long-tailed distributions in the internet
IMW '01 Proceedings of the 1st ACM SIGCOMM Workshop on Internet Measurement
Models of mail server workloads
Performance Evaluation
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
Modeling, simulation and measurements of queuing delay under long-tail internet traffic
SIGMETRICS '03 Proceedings of the 2003 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
LCN '98 Proceedings of the 23rd Annual IEEE Conference on Local Computer Networks
Modeling IP traffic using the batch Markovian arrival process
Performance Evaluation - Modelling techniques and tools for computer performance evaluation
The scale factor: a new degree of freedom in phase-type approximation
Performance Evaluation - Dependable systems and networks-performance and dependability symposium (DSN-PDS) 2002: Selected papers
An EM-based technique for approximating long-tailed data sets with PH distributions
Performance Evaluation - Internet performance symposium (IPS 2002)
Clock synchronization for internet measurements: a clustering algorithm
Computer Networks: The International Journal of Computer and Telecommunications Networking
Variable heavy tails in internet traffic
Performance Evaluation - Special issue: Distributed systems performance
Web traffic modeling at finer time scales and performance implications
Performance Evaluation - Long range dependence and heavy tail distributions
High quantile estimation for heavy-tailed distributions
Performance Evaluation - Performance 2005
Comment on "A general model for long-tailed network traffic approximation"
The Journal of Supercomputing
Segment-based adaptive hyper-Erlang model for long-tailed network traffic approximation
The Journal of Supercomputing
Irregular community discovery for cloud service improvement
The Journal of Supercomputing
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The long-tailed distribution characterizes many Internet traffic properties which are often modeled by Lognormal distribution, Weibull or Pareto distribution theoretically. However, it is rather difficult to directly apply these models in traffic analysis and performance evaluation studies 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. Further investigations on the M/G/1 queueing behavior also prove the efficiency of the Mixed Erlang based approximation.