Approximation for Overflow Moments of a Multiservice Link with Trunk Reservation

In this paper we propose an approximation for individual overflow moments of a multiservice link with differing arrival rates, capacity requirements and mean holding times, where trunk reservation is used. The approximation can be considered as a generalization of Roberts' approximation for individual blocking probabilities of a multiservice link to higher moments. It can be computed very efficiently. Numerical results show that the approximation is accurate if the mean holding times do not greatly differ from each other. 1 Introduction Recent developments in communication systems have led to much interest in systems where traffic of widely differing characteristics is integrated together. In the absence of controls, larger bandwidth calls can experience a much higher blocking probability than low bandwidth calls [23], [20]. Also by excessive alternative routing during periods of general overload, instability of the network and performance degradation may occur, cf. [12], [1], [21]. T..