We investigate the sensitivity of the leaky-bucket
filter, which is known as a traffic-shaping mechanism of
source traffic entering an ATM network. Adopting the gradual
input source model and using the infinitesimal perturbation
analysis, we derive the strongly consistent estimators
for the gradients of mean cell delay and a smoothness index
of output process with respect to the design parameters
of the system. Simulation results show the validity of
our estimators.
