Analysis of leaky bucket access control mechanism with batch arrival process

A rate-based access control mechanism for high-speed networks, based on the buffered leaky bucket scheme, is studied. The study assumes an asynchronous transfer mode (ATM) environment, where only fixed size packets or cells are transmitted. The leaky bucket scheme is based on the use of transmission tokens for each cell accessing the network. How often tokens are generated and the maximum number of tokens that can be accumulated are the parameters used to match the access control mechanism to the requirements of the cell arrivals patterns. A batch arrival process is considered to represent such arrival patterns. The distribution of batch sizes is arbitrary, while the time between arrivals of successive batches is taken to be geometrically distributed. Using matrix analytic techniques, the queue length distribution at the access point is obtained