The Strict-Sense Nonblocking Multiratelogd(N,0,p)Switching Network
This paper considers the nonblocking conditions for a multiratelogd(N,0,p)switching network at the connection level. The necessary and sufficient conditions for the discrete bandwidth model, as well as sufficient and, in particular cases, also necessary conditions for the continuous bandwidth model, were given. The results given fordn-1/2f0≥f1+1in the discrete bandwidth model are the same as those proposed by Hwang et al. (2005); however, in this paper, these results were extended to other values off0,f1, andd. In the continuous bandwidth model forB+b>1, the results given in this paper are also the same as those by Hwang et al. (2005); however, forB+b≤1, it was proved that a smaller number of vertically stackedlogdNswitching networks are needed.