Formula for the required capacity of an ATM multiplexer
Markus Fiedler · 1998
This contribution deals with a formula for the capacity an ATM multiplexer must at least have to accomodate the loss probability demands of all connections. So it can be used for connection admission control as well as for network resource management purposes. The formula is based on the bufferless fluid flow multiplexer model. It allows for a more exact capacity evaluation than if equivalent bandwidths are used on a per-connection basis. On the other hand, it merely requires a computational effort which is comparable to evaluating the mean of a given distribution. Indeed, the bottleneck is the convolution of probability density functions, on which the formula operates. Two steps to reduce the computational effort are proposed: a framework for convolution operations, consisting of precomputed probability density functions, and a suitable truncation of the state space. Keywords: ATM multiplexing; performance evaluation; capacity assignment; CAC; NRM; bufferless fluid flow mo...