A new routing algorithm for multirate rearrangeable Clos networks

  • Authors:
  • Hung Q. Ngo

  • Affiliations:
  • Computer Science and Engineering Department NMVL, 201 Bell Hall, State University of New York at Buffalo, Amherst, NY

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2003

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Abstract

In this paper, we study the problem of finding routing algorithms on the multirate rearrangeable Clos networks which use as few number of middle-stage switches as possible. We propose a new routing algorithm called the "grouping algorithm". This is a simple algorithm which uses fewer middle-stage switches than all known strategies, given that the number of input-stage switches and output-stage switches are relatively small compared to the size of input and output switches. In particular, the grouping algorithm implies that m = 2n + [(n - 1)/2k] is a sufficient number of middle-stage switches for the symmetric three-stage Clos network C(n, m, r) to be multirate rearrangeable, where k is any positive integer and r ≤ n/(2k - 1).