Distributed multi-destination routing in hypercube multiprocessors

  • Authors:
  • Y. Lan;L. M. Li;A-H. Esfahanian

  • Affiliations:
  • Department of Computer Science, Michigan State University, East Lansing, Michigan;Department of Computer Science, Michigan State University, East Lansing, Michigan and Division of Mathematics and Computer Science, Argonne National Laboratory, Argonne, IL;Department of Computer Science, Michigan State University, East Lansing, Michigan

  • Venue:
  • C3P Proceedings of the third conference on Hypercube concurrent computers and applications: Architecture, software, computer systems, and general issues - Volume 1
  • Year:
  • 1988

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Abstract

An efficient interprocessor communication mechanism is essential to the performance of hypercube multiprocessors. All existing hypercube multiprocessors basically support one-to-one interprocessor communication only. However, multi-destination communication (multicast), which is highly demanded in executing many data parallel algorithms, is not directly supported by existing hypercube multiprocessors. A multicast algorithm should attempt to inform each destination in a minimum number of time steps while generating a least amount of traffic. This problem is formally modeled as a graph theoretical problem, the Optimal Multicast Tree problem. We conjecture that the optimal multicast tree problem remains NP-hard even for hypercube topology. A heuristic greedy multicast algorithm which guarantees a minimized message delivery time is proposed. Simulation results show that the performance of the greedy algorithm is very close to optimal solution. Routing of multicast messages is done in a distributed manner.