Worst-case Traffic for Oblivious Routing Functions

  • Authors:
  • Brian Towles;William J. Dally

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Computer Architecture Letters
  • Year:
  • 2002

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Abstract

This paper presents an algorithm to find a worst-case trafficpattern for any oblivious routing algorithm on an arbitrary interconnectionnetwork topology. The linearity of channel loading offered by obliviousrouting algorithms enables the problem to be mapped to a bipartitemaximum-weight matching, which can be solved in polynomial time forrouting functions with a polynomial number of paths. Finding exact worstcaseperformance was previously intractable, and we demonstrate an examplecase where traditional characterization techniques overestimate thethroughput of a particular routing algorithm by 47%.