ON A HIGH-RANKING NODE OF B-ISDN

The paper studies a high-ranking node in a broadband integrated servic es digital network (B-ISDN). The input traffic is classified into two types: real-time and non-real-time. For each type of input traffic, we assume that the message arrival process is a batch Poisson process an d that the message size is arbitrarily distributed so as to describe s ervices from narrowband to wideband. We model the high-ranking node by a queueing system with multiple synchronous servers and two separate finite buffers, one for each type of traffic. We derive performance me asures exactly by using a two-dimensional imbedded discrete-time Marko v chain analysis, within which the transition probabilities are obtain ed via an application of the residue theorem in complex variables. The performance measures include the blocking probability, delay, and thr oughput.