Fast and efficient submesh determination in faulty tori

  • Authors:
  • R. Pranav;Lawrence Jenkins

  • Affiliations:
  • Department of Electrical Engineering, Indian Institute of Science, Bangalore;Department of Electrical Engineering, Indian Institute of Science, Bangalore

  • Venue:
  • HiPC'04 Proceedings of the 11th international conference on High Performance Computing
  • Year:
  • 2004

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Abstract

In a faulty torus/mesh, finding the maximal fault-free submesh is the main problem of reconfiguration Chen and Hu [1] proposed a distributed method to determine the maximal fault-free submesh in a faulty torus In this paper, we show that it is sufficient to apply the distributed algorithm proposed by Chen and Hu [1] to only few nodes of a torus The time for determination of the maximal fault free submesh/submeshes (MFSS) is considerably reduced, by reduction in the number of messages needed for determination of MFSS In addition, it also reduces the congestion in the network We present an algorithm to determine the smallest submesh containing all faulty nodes in a torus The proposed algorithm has a time complexity of O(n(m + k)) for a k-ary n-cube with m faults Intensive simulation study reveals that number of messages is significantly reduced compared to Chen and Hu's [1] method.