On the self-similar nature of Ethernet traffic
SIGCOMM '93 Conference proceedings on Communications architectures, protocols and applications
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
Internet Web servers: workload characterization and performance implications
IEEE/ACM Transactions on Networking (TON)
Self-similarity in World Wide Web traffic: evidence and possible causes
IEEE/ACM Transactions on Networking (TON)
Performance of Computer Communication Systems: A Model-Based Approach
Performance of Computer Communication Systems: A Model-Based Approach
Characteristics of WWW Client-based Traces
Characteristics of WWW Client-based Traces
Pattern Classification (2nd Edition)
Pattern Classification (2nd Edition)
The pseudo-self-similar traffic model: application and validation
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)
Closed form solutions for mapping general distributions to quasi-minimal PH distributions
Performance Evaluation - Modelling techniques and tools for computer performance evaluation
A Novel Approach for Phase-Type Fitting with the EM Algorithm
IEEE Transactions on Dependable and Secure Computing
Design and evaluation of web proxies by leveraging self-similarity of web traffic
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Network modelling and simulation
A general model for long-tailed network traffic approximation
The Journal of Supercomputing
jPhase: an object-oriented tool for modeling phase-type distributions
SMCtools '06 Proceeding from the 2006 workshop on Tools for solving structured Markov chains
Dynamic spectrum access in WLAN channels: empirical model and its stochastic analysis
TAPAS '06 Proceedings of the first international workshop on Technology and policy for accessing spectrum
Efficient phase-type fitting with aggregated traffic traces
Performance Evaluation
A minimal representation of Markov arrival processes and a moments matching method
Performance Evaluation
Segment-based adaptive hyper-Erlang model for long-tailed network traffic approximation
The Journal of Supercomputing
Effective Minimization of Acyclic Phase-Type Representations
ASMTA '08 Proceedings of the 15th international conference on Analytical and Stochastic Modeling Techniques and Applications
Changes in the Web from 2000 to 2007
DSOM '08 Proceedings of the 19th IFIP/IEEE international workshop on Distributed Systems: Operations and Management: Managing Large-Scale Service Deployment
Q-MAM: a tool for solving infinite queues using matrix-analytic methods
Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
A workload based adaptive scheduling algorithm for web server
SpringSim '09 Proceedings of the 2009 Spring Simulation Multiconference
Model-based opportunistic channel access in dynamic spectrum access networks
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Multi-class Markovian arrival processes and their parameter fitting
Performance Evaluation
A model validation study of hierarchical and distributed web caching model
SpringSim '10 Proceedings of the 2010 Spring Simulation Multiconference
On moments based Padé approximations of ruin probabilities
Journal of Computational and Applied Mathematics
Performance evaluation of a single node with general arrivals and service
ASMTA'11 Proceedings of the 18th international conference on Analytical and stochastic modeling techniques and applications
Data-unit-size distribution model when message segmentations occur
Performance Evaluation
Proceedings of the 4th International Conference on Cognitive Radio and Advanced Spectrum Management
Hyper-Erlang based model for network traffic approximation
ISPA'05 Proceedings of the Third international conference on Parallel and Distributed Processing and Applications
Workload characteristics of a multi-cluster supercomputer
JSSPP'04 Proceedings of the 10th international conference on Job Scheduling Strategies for Parallel Processing
Pass down class-LRU caching algorithm for WWW proxies
ICN'05 Proceedings of the 4th international conference on Networking - Volume Part I
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
Cluster-based fitting of phase-type distributions to empirical data
Computers & Mathematics with Applications
Traffic modeling with a combination of phase-type distributions and ARMA processes
Proceedings of the Winter Simulation Conference
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In recent years, various researchers have shown that network traffic that is due to world-wide web transfers shows characteristics of self-similarity and it has been argued that this can be explained by the heavy-tailedness of many of the involved distributions. Considering these facts, developing methods that are able to handle self-similarity and heavy-tailedness is of great importance for network capacity planning purposes.However, heavy-tailed distributions cannot be used so easily for analytical or numerical evaluation studies. To overcome this problem, in this paper, we approximate the empirical distributions by analytically more tractable, that is, hyper-exponential distributions. For that purpose, we present a new fitting algorithm based on the expectation-maximisation and show it to perform well both for pure traffic statistics as well as in queuing studies.