Twister Networks and Their Applications to Load-Balanced Switches

Abstract—Inspired by the recent development of optical queueing theory, in this paper we study a class of multistage interconnection networks (MINs), called twister networks. Unlike the usual recursive constructions of MINs (either by two-stage expansion or by three-stage expansion), twister networks are constructed directly by a concatenation of bipartite networks. Moreover, the biadjacency matrices of these bipartite networks are sums of subsets of the powers of the circular shift matrix. Though MINs have been studied extensively in the literature, we show there are several distinct properties for twister networks, including routability and conditionally nonblocking properties. In particular, we show that a twister network satisfying (A1) in the paper is routable, and packets can be self-routed through the twister network by using the C-transform developed in optical queueing theory. Moreover, we define an N-modulo distance and use it to show that a twister network satisfying (A2)...

• Type: Journal
• Year: 2010
• Where: INFOCOM
• Authors: Ching-Ming Lien, Cheng-Shang Chang, Jay Cheng, Duan-Shin Lee, Jou-Ting Liao
• Keywords: Communications, INFOCOM 2010, N-modulo Distance, Optical Queueing Theory, Twister Network