Blocking probability of f-cast optical banyan networks on vertical stacking

Vertical stacking of banyan networks has been an attractive architecture to construct optical switching networks due to its small depth, absolute signal loss uniformity and good fault tolerance property. Recently, F.K. Hwang extended the study of banyan-based networks to the general f-cast case, which covers the unicast (f = 1) and multicast (f = N) as special cases. In this paper, we study the blocking probability of f-cast optical banyan networks under crosstalk-free constraint. It is expected that the proposed probability model can be used to dimension such an f-cast network and achieve a graceful tradeoff between hardware cost and blocking probability.