On the self-similar nature of Ethernet traffic (extended version)
IEEE/ACM Transactions on Networking (TON)
Wide area traffic: the failure of Poisson modeling
IEEE/ACM Transactions on Networking (TON)
Second moment resource allocation in multi-service networks
SIGMETRICS '97 Proceedings of the 1997 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Self-similarity in World Wide Web traffic: evidence and possible causes
IEEE/ACM Transactions on Networking (TON)
Self-Similar Network Traffic and Performance Evaluation
Self-Similar Network Traffic and Performance Evaluation
Queueing processes in GPS and PGPS with LRD traffic inputs
IEEE/ACM Transactions on Networking (TON)
IEEE Communications Surveys & Tutorials
On the use of fractional Brownian motion in the theory of connectionless networks
IEEE Journal on Selected Areas in Communications
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The statistical approaches of resource allocation require that input traffic is Gaussian. The Gaussian hypothesis is guaranteed by the Central Limit Theorem (CLT), that is verified when several hundreds of independent flows are multiplexed. In realistic scenarios few flows and long range dependent video traces can be multiplexed, in this case the input traffic can't be considered Gaussian. In this paper, we propose a procedure in order to evaluate the statistical Quality-of-Service (QoS) guarantees expressed in terms of a delay bound, d and a delay violation probability, p. In particular, we extend the Network Calculus, developed for gaussian traffic and founded on the Maximum Variance Approximation (MVA), to scenarios with non-gaussian traffic where few users download MPEG movies. The analysis is carried out for single and multiple-node, with homogeneous and heterogeneous traffic flows. We provide an approximation of the end-to-end delay violation probability evaluated by means of a new framework for stochastic network calculus, denoted as the bounded-variance network calculus. The results show that our procedure, in all scenarios, provides a delay violation probability for non-gaussian input traffic (MPEG video traces), very close to the values obtained with simulations.