A New Approach for Rearrangeable Multicast Switching Networks

  • Authors:
  • Hongbing Fan;Yu-Liang Wu

  • Affiliations:
  • Wilfrid Laurier University, Waterloo, Canada N2L 3C5;The Chinese University of Hong Kong, Shatin, N.T., Hong Kong,

  • Venue:
  • COCOA '09 Proceedings of the 3rd International Conference on Combinatorial Optimization and Applications
  • Year:
  • 2009

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Abstract

In this paper we propose a new design for rearrangeable multicast switching networks, which uses the minimum number of intermediate nodes and a comparable number of switches. The newly designed 3-stage N ×N switching network has the minimum 2N intermediate nodes and O (N 5/3) switches and an efficient routing algorithm, while the best known wide-sense nonblocking (and hence rearrangeable) multicast 3-stage network uses O (N logN /loglogN ) intermediate nodes and O (N 3/2 logN /loglogN ) switches. The new design is constructed by adding switches to a rearrangeable unicast Clos network. The design and analysis of the design is done by a combinatorial approach, which represents a switching network as a multistage bipartite graph, and the middle stage as bipartite switch box, and routing requirements as hypergraph. The new routing algorithm is done by the edge ordering of regular hypergraphs, a technique originated from job scheduling.