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Queueing Systems 28 (1998) 191214 191 On the departure process of a leaky bucket system with
 

Summary: Queueing Systems 28 (1998) 191214 191
On the departure process of a leaky bucket system with
long-range dependent input traffic
Socrates Vamvakos and Venkat Anantharam
EECS Department, University of California, Berkeley, CA 94720, USA
E-mail: sokratis@cory.eecs.berkeley.edu; ananth@vyasa.eecs.berkeley.edu
Due to the strong experimental evidence that the traffic to be offered to future broad-
band 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 net-
work. 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 ses-
sions is initiated, having the distribution of a Poisson random variable with mean . Each
of these sessions has a random duration , where the integer random variable has finite
mean, infinite variance, and a regularly varying tail, i.e., P( > k) k-
L(k), where
1 < < 2 and L() is a slowly varying function. Once a session is initiated, it generates

  

Source: Anantharam, Venkat - Department of Electrical Engineering and Computer Sciences, University of California at Berkeley

 

Collections: Engineering