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摘要
Cost efficient design of nonblocking multicast Clos switching networks has been a challenging issue due to the high cost involved in such networks. This paper focuses on the study of wide-sense nonblocking and strictly nonblocking Clos networks under the (f(1), f(2))-cast traffic, where the minimum fanout and the maximum fanout of each connection request are restricted to the values of f(1) and f(2), respectively. The (f(1), f(2))-cast is general in the sense it covers the unicast and multicast as special cases. Our study addresses the specific case in which the (f(1), f(2))-cast traffic loads evenly the input stage switches based on f(1). We conduct analysis on the sufficient conditions for wide-sense nonblocking as well as the necessary and sufficient conditions for strictly nonblocking in such networks. Our results indicate that under (f(1), f(2))-cast traffic, the number of middle stage switches required in the special Clos networks can be reduced. It is expected that this study can provide a fundamental guideline to the cost efficient design of nonblocking multicast Clos networks for different applications, including, e.g., optical switching fabrics for data center environments.
