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
Experimental queueing analysis with long-range dependent packet traffic
IEEE/ACM Transactions on Networking (TON)
Proof of a fundamental result in self-similar traffic modeling
ACM SIGCOMM Computer Communication Review
Router buffer sizing revisited: the role of the output/input capacity ratio
CoNEXT '07 Proceedings of the 2007 ACM CoNEXT conference
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This paper studies the tail of the buffer occupancy distribution of a queueing system with c parallel deterministic servers, infinite buffer capacity and an input process with consists of a superposition of a long range dependent on-off source and a batch renewal process. In particular, we investigate the decay of the tail for different values of c and for different compositions of the traffic mix. It is shown that for c = 1 (i.e. a single server system), the tail has a power law decay, while for c 1, different cases may be distinguished: if the arrival rate of the background traffic is larger than c - 1, then the tail probabilities decay according to a power law, while for the other case, the decay is exponential.