On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
Experimental queueing analysis with long-range dependent packet traffic
IEEE/ACM Transactions on Networking (TON)
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
On the relevance of long-range dependence in network traffic
Conference proceedings on Applications, technologies, architectures, and protocols for computer communications
SIGMETRICS '98/PERFORMANCE '98 Proceedings of the 1998 ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
On variations of queue response for inputs with the same mean and autocorrelation function
IEEE/ACM Transactions on Networking (TON)
ACM SIGCOMM Computer Communication Review
Self-Similar Network Traffic and Performance Evaluation
Self-Similar Network Traffic and Performance Evaluation
A Note on Transient Gaussian Fluid Models
Queueing Systems: Theory and Applications
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
A multifractal wavelet model with application to network traffic
IEEE Transactions on Information Theory
Priority queuing of long-range dependent traffic
Computer Communications
FISTE: A black box approach for end-to-end QoS management
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Sample path bounds for long memory FBM traffic
INFOCOM'10 Proceedings of the 29th conference on Information communications
Wireless Personal Communications: An International Journal
Computer Networks: The International Journal of Computer and Telecommunications Networking
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This paper introduces a new multiscale framework for estimating the tail probability of a queue fed by an arbitrary traffic process. Using traffic statistics at a small number of time scales, our analysis extends the theoretical concept of the critical time scale and provides practical approximations for the tail queue probability. These approximations are non-asymptotic; that is, they apply to any finite queue threshold. While our approach applies to any traffic process, it is particularly apt for long-range-dependent (LRD) traffic. For LRD fractional Brownian motion, we prove that a sparse exponential spacing of time scales yields optimal performance. Simulations with LRD traffic models and real Internet traces demonstrate the accuracy of the approach. Finally, simulations reveal that the marginals of traffic at multiple time scales have a strong influence on queueing that is not captured well by its global second-order correlation in non-Gaussian scenarios.