A performance model of circuit switched k-ary n-cubes with deterministic routing has recently been proposed by Sharma and Varvarigos [IEEE Trans. Parallel Distrib. Syst. 8 (4) (1997) 349]. Many studies have revealed that using adaptive routing along with virtual channels considerably improves network performance over deterministic routing. This paper presents the first analytical model for calculating the message latency in circuit switched k-ary n-cube networks with adaptive routing. The main feature of the proposed model is the use of Markov chains to compute the path set-up time and to capture the effects of using virtual channels to reduce message blocking in the network. The mean waiting time that a message experiences at a source node is calculated using an M/G/1 queueing system. The validity of the model is demonstrated by comparing analytical results with those obtained through simulation experiments.
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