Sensitivity analysis of the loss probability in a stationary gradual queue for high-speed networks

In ATM networks, each node has its own buffer to store some cells. The buffer size represents a trade-off between cell loss and transmission delay, and therefore, it is of significant concern to evaluate the performance with respect to the buffer size. In this paper, we investigate the sensitivity of the loss probability with respect to the buffer size by considering a gradual input queue with a finite buffer. Gradual inputs are considered as those representing a bursty cell traffic. Applying the perturbation analysis technique to this model, we derive the strongly consistent sensitivity estimates, and combining with the likelihood ratio method, we confirm that our estimates lead to reasonable simulation results