A unified approach for evaluating call blocking and burst blocking in high speed networks

We resent a network dimensioning method for supporting multimedia services in high speed ATM networks with the required guarantee on the QOS at the call level and burst level simultaneously. The different multimedia traffic calls arrive according to a Poisson process and their holding time is exponentially distributed. Each traffic type admitted into the system is assumed to be either on-off source or composite of many on-off minisources, which requites certain bandwidth units when the source or minisource goes to on state. Associated with each traffic type, we have maximum number of calls that can be admitted into the system of shared resources. With the quasi-static approximation and with the use of recursion, we show, how the call blocking and burst blocking probabilities can be calculated, for the case of a multiplexer with limited capacity. Our numerical results show that the maximum statistical multiplexing gain for a certain QOS requirements, is bounded by the reciprocal of activity factor of on-off sources