Study of the effectiveness of adaptive rate control for slow arrival processes

A queueing model is developed and analyzed to evaluate the performance of a simple rate control scheme in the presence of propagation delays (in ATM networks). Unlike previous discrete-time studies of adaptive rate control, the arrival processes are assumed to be slow and deliver cells with a certain time constant. An efficient technique is developed for the computation of the cell loss probabilities. The obtained numerical results show that the cell loss probabilities depend on the relationship between the number of the controlled sources and the available buffer capacity. The results point to the existence of a batch-absorption buffer capacity value beyond which the effectiveness of the adaptive rate control will increase as the source time constant increases