An Optimal Shortest-Path Routing Policy for Network Computers with Regular Mesh-Connected Topologies

  • Authors:
  • H. G. Badr;S. Podar

  • Affiliations:
  • State Univ. of New York at Stony Brook, Stony Brook, NY;US West Advanced Technologies, Englewood, CO

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1989

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Abstract

A probabilistic routing policy, the Z/sup 2/ (zigzag) routing policy, is presented within the class of nonadaptive, shortest-path routing policies for regular mesh-connected topologies such as n-dimensional toroids and hypercubes. The focus of the research is routing in networks of computers in a distributed computing environment, where constituent subcomputers are organized in a mesh-connected topology and communication among individual computers takes places by some form of message exchange. The authors prove the optimality of this policy with respect to two criteria: (1) maximizing the probability of reaching the destination from a given source without delays at intermediate nodes; and (2) minimizing the expected lifetime of a message.