Introduction to queueing theory (2nd ed)
Introduction to queueing theory (2nd ed)
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
SIGCOMM '95 Proceedings of the conference on Applications, technologies, architectures, and protocols for computer communication
Optimal flow control schemes that regulate the burstiness of traffic
IEEE/ACM Transactions on Networking (TON)
Experimental queueing analysis with long-range dependent packet traffic
IEEE/ACM Transactions on Networking (TON)
IEEE/ACM Transactions on Networking (TON)
Overflow and loss probabilities in a finite ATM buffer fed by self-similar traffic
Queueing Systems: Theory and Applications
An overview of Brownian and non-Brownian FCLTs for the single-server queue
Queueing Systems: Theory and Applications
Fractional Lévy motion and its applocation to network traffic modeling
Computer Networks: The International Journal of Computer and Telecommunications Networking - Special issue: Advances in modeling and engineering of Longe-Range dependent traffic
Testing α-stable processes in capturing the queuing behavior of broadband teletraffic
Signal Processing - Signal processing with heavy-tailed models
Testing the Gaussian approximation of aggregate traffic
Proceedings of the 2nd ACM SIGCOMM Workshop on Internet measurment
Traffic with an fBm Limit: Convergence of the Stationary Workload Process
Queueing Systems: Theory and Applications
LIMITS FOR CUMULATIVE INPUT PROCESSES TO QUEUES
Probability in the Engineering and Informational Sciences
On a Class of Lévy Stochastic Networks
Queueing Systems: Theory and Applications
General methodology 2: an efficient method for simulating fractional stable motion
Proceedings of the 34th conference on Winter simulation: exploring new frontiers
Fractional alpha stable network traffic model and its application in QoS routing
Journal of Network and Computer Applications
Computer Networks: The International Journal of Computer and Telecommunications Networking
Computer Networks: The International Journal of Computer and Telecommunications Networking
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A common way to inject long-range dependence in a stochastic traffic model possessing a weak regenerative structure is to make the variance of the underlying period infinite (while keeping the mean finite). This method is supported both by physical reasoning and by experimental evidence. We exhibit the long-range dependence of such a process and, by studying its second-order properties, we asymptotically match its correlation structure to that of a fractional Brownian motion. By studying a certain distributional limit theorem associated with such a process, we explain the emergence of an extremely skewed stable Lévy motion as a macroscopic model for the aforementioned traffic. Surprisingly, long-range dependence vanishes in the limit, being “replaced” by independent increments and highly varying marginals. The marginal distribution is computed and is shown to match the one empirically obtained in practice. Results on performance of queueing systems with Lévy inputs of the aforementioned type are also reported in this paper: they are shown to be in agreement with pre-limiting models, without violating experimental queueing analysis.