Modelling Buffer Utilisation in Cell-based Networks

Multi-media traffic is characteristically bursty and arrivals are highly correlated. New network technology carries such traffic in cell-based networks where the service is a discrete time, deterministic process with the service rate determinated by bandwidth negotiated by the user. Managing such networks is hard, and predicting cell loss at a station with limited buffer capacity K, is essential to enable the user to negotiate his QOS requirements. We present an analysis to determine the queue length distribution and the loss probability in such circumstances. For our analysis, we use an m-phase Markov Modulated Bernoulli Process with binomial distributed batch arrivals and deterministics service and limited capacity K, i. e. a MMBP [X ] (3) =D=1 \Gamma K queueing system. We show that the system can be solved using the well-known method of unfinished work. The validity of our model is illustrated by comparing our results against those obtained from an event-driven simulation of the ..