Article ID: | iaor20003130 |
Country: | Netherlands |
Volume: | 28 |
Issue: | 1/3 |
Start Page Number: | 191 |
End Page Number: | 214 |
Publication Date: | May 1998 |
Journal: | Queueing Systems |
Authors: | Anantharam V., Vamvakos S. |
Keywords: | leaky bucket |
Due to the strong experimental evidence that the traffic to be offered to future broadband networks will display long-range dependence, it is important to study the possible implications that such traffic may have for the design and performance of these networks. In particular, an important question is whether the offered traffic preserves its long-range dependent nature after passing through a policing mechanism at the interface of the network. One of the proposed solutions for flow control in the context of the emerging ATM standard is the so-called leaky bucket scheme. In this paper we consider a leaky bucket system with long-range dependent input traffic. We adopt the following popular model for long-range dependent traffic: Time is discrete. At each unit time a random number of sessions is initiated, having the distribution of a Poisson random variable with mean λ. Each of these sessions has a random duration τ, where the integer random variable τ has finite mean, infinite variance, and a regularly varying tail, i.e.,