Hand-off traffic characterisation in cellular networks under Engset new call arrivals and generalised service times

The main contribution of this paper is an analytical method for characterising the hand-off traffic generated under generalised call arrival and generalised channel holding time distributions. Our proposed model forms an integral part of a larger performance analysis algorithm that may be used to determine typical grade of service parameters such as new call blocking, hand-off call blocking and forced termination probability. The classical teletraffic assumptions of Poisson call arrivals and negative exponential channel holding times may not apply for future PCS networks. Instead, we employ a more realistic finite population Engset arrival process to model the new call arrival process. We model the hand-off call arrival process in the cellular network as a generalised arrival process and represent it using the mean and variance of its offered traffic distribution. We characterise the channel holding times using a more generalised distribution that we have labelled the det-neg distribution