Traffic Analysis of Message Flow in Three Crossbar Architecture Space-Division Switches

In computer networks the space division switches are used to transmit the messages in order to reach its destinations. These switches are based on cross bar technology. Actually, it is built up of several smaller rectangular crossbars and less cross points is needed than the traditional cross bar switches. According to Tananbum (1996) if we increase the number of cross points, the outgoing reaching probability of messages also increases accordingly with the high cost and low congestion in the network. In this paper we considered the architecture of a three crossbar space-division switch and with the help of Markov chain theory, an L-dependent mathematical model is proposed and used to calculate reaching probabilities of message flow.