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
What are the implications of long-range dependence for VBR-video traffic engineering?
IEEE/ACM Transactions on Networking (TON)
Conference proceedings on Applications, technologies, architectures, and protocols for computer communications
Self-similar traffic and upper bounds to buffer-overflow probability in an ATM queue
Performance Evaluation
On the relevance of long-range dependence in network traffic
IEEE/ACM Transactions on Networking (TON)
Tail probabilities for M/G/\infty input processes (I): Preliminary asymptotics
Queueing Systems: Theory and Applications
Queueing at large resources driven by long-tailed M/G/\infty-modulated processes
Queueing Systems: Theory and Applications
On–off fluid models in heavy traffic environment
Queueing Systems: Theory and Applications
Overflow and losses in a network queue with a self-similar input
Queueing Systems: Theory and Applications
Large Deviations for Small Buffers: An Insensitivity Result
Queueing Systems: Theory and Applications
Performance evaluation of a queue fed by a Poisson Pareto burst process
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Advances in modeling and engineering of Longe-Range dependent traffic
Fractal traffic: measurements, modelling and performance evaluation
INFOCOM '95 Proceedings of the Fourteenth Annual Joint Conference of the IEEE Computer and Communication Societies (Vol. 3)-Volume - Volume 3
Proceedings of the 2004 conference on Applications, technologies, architectures, and protocols for computer communications
Part I: buffer sizes for core routers
ACM SIGCOMM Computer Communication Review
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Fluid Queues with Heavy-Tailed M/G/∞ Input
Mathematics of Operations Research
Power-law vs exponential queueing in a network traffic model
Performance Evaluation
Tail probabilities for a multiplexer with self-similar traffic
INFOCOM'96 Proceedings of the Fifteenth annual joint conference of the IEEE computer and communications societies conference on The conference on computer communications - Volume 3
Broadband traffic modeling: simple solutions to hard problems
IEEE Communications Magazine
A note on queues with M/G/∞ input
Operations Research Letters
Modeling video traffic using M/G/∞ input processes: a compromise between Markovian and LRD models
IEEE Journal on Selected Areas in Communications
Snapshot simulation of internet traffic: queueing of fixed-rate flows
Proceedings of the 2nd International Conference on Simulation Tools and Techniques
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There have been many queuing analyses for a single server queue fed by an M/G/~ traffic process, in which G is a Pareto distribution, that focus on certain limiting conditions. In this paper we enhance the so-called Quasi-Stationary (QS) approximation - a queuing analysis introduced previously that provides an algorithm for computation of an accurate approximation for the stationary queue distribution, applicable to the entire range of system parameters. By numerical evaluation of the QS approximation and the asymptotic approximations (large buffer, many sources, and heavy traffic) over an extremely wide range of parameter values we are able to graphically display consistency of the QS approximation with all the asymptotic results. We demonstrate that the accuracy of the asymptotic approximations is satisfactory only in limited regions of the system parameter space.