This paper is concerned with the saturation probability of
aggregate traffic data arrival rate on a communication link. This
performance metric, also referred to as tail distribution of
aggregate traffic, is essential in traffic control and management
algorithms of high speed networks including future QoS Internet.
In this paper efficient closed-form upper bounds have been derived
for the saturation probability when very few information is
available on the aggregate traffic. The performance of these
estimators is also performed via numerical examples
