A fast diagnosis algorithm for locally twisted cube multiprocessor systems under the MM* model

  • Authors:
  • Hui Yang;Xiaofan Yang

  • Affiliations:
  • College of Computer Science, Chongqing University, Chongqing, 400044, China;College of Computer Science, Chongqing University, Chongqing, 400044, China

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2007

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Abstract

Comparison-based diagnosis is a practical approach to the system-level fault diagnosis of multiprocessors. The locally twisted cube is a newly introduced hypercube variant, which not only possesses lower diameter and better graph embedding capability as compared with a hypercube of the same size, but retains some nice properties of hypercubes. This paper addresses the fault diagnosis of locally twisted cubes under the MM^* comparison model. By utilizing the existence of abundant cycles within a locally twisted cube, we present a new diagnosis algorithm. With elaborately organized data, this algorithm can run in O(Nlog"2^2N) time, where N stands for the total number of nodes. In comparison, the classical Sengupta-Dahbura diagnosis algorithm takes as much as O(N^5) time to achieve the same goal. As a consequence, the proposed algorithm is remarkably superior to the Sengupta-Dahbura algorithm in terms of the time overhead.