An Approach for Performance Analysis of Discrete-Time Finite Capacity Open Queuing Network with Correlated arrivals

Future high speed, broadband networks such as BISDN (Broadband Integrated Services Digital Network) support diverse applications like voice, video and data transfer. ATM (Asynchronous Transfer Mode) is considered to be the most promising transfer technology for implementing these networks. This paper presents a scheme, which may be used for the performance evaluation of ATM switching networks where an ATM switch is modeled as a discrete-time finite buffer queue. Approaches have been proposed for the performance analysis of discrete-time, finite buffer capacity open queuing networks by decomposition of each queue and then individually analyzing them. Cell arrivals to the network is modeled as a two-state Markov Modulated Bernoulli Process (MMBP). An approximation method for fitting a twostate MMBP to the departure processes of queues has been presented. The results obtained from this analytical algorithm have been shown to be acceptably close to those obtained through simulations.