Adventures in stochastic processes
Adventures in stochastic processes
On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
Analysis, modeling and generation of self-similar VBR video traffic
SIGCOMM '94 Proceedings of the conference on Communications architectures, protocols and applications
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
Fluid queues and regular variation
Performance Evaluation
IEEE/ACM Transactions on Networking (TON)
Long-tail buffer-content distributions in broadband networks
Performance Evaluation
Modelling extremal events: for insurance and finance
Modelling extremal events: for insurance and finance
Proof of a fundamental result in self-similar traffic modeling
ACM SIGCOMM Computer Communication Review
Heavy Tails and Long Range Dependence in On/Off Processes and Associated Fluid Models
Mathematics of Operations Research
A practical guide to heavy tails
Appendix: A primer on heavy-tailed distributions
Queueing Systems: Theory and Applications
The Importance of Power-Tail Distributions for Modeling Queueing Systems
Operations Research
On the relationship between file sizes, transport protocols, and self-similar network traffic
On the relationship between file sizes, transport protocols, and self-similar network traffic
Modeling and analysis of power-tail distributions via classical teletraffic methods
Queueing Systems: Theory and Applications
Computers and Operations Research
Sensitivity analysis for output performance measurers in long-range dependent queueing system
Computers and Operations Research
The effect of long-memory arrivals on queue performance
Operations Research Letters
Dynamic packet fragmentation based on particle swarm optimised prediction
International Journal of Wireless and Mobile Computing
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This article reviews various models within the queueing framework which have been suggested for teletraffic data. Such models aim to capture certain stylised features of the data, such as variability of arrival rates, heavy-tailedness of on- and off-periods and long-range dependence in teletraffic transmission. Subexponential distributions constitute a large class of heavy-tailed distributions, and we investigate their (sometimes disastrous) influence within teletraffic models. We demonstrate some of the above effects in an explorative data analysis of Munich Universities’ intranet data.