Sequentially t-Diagnosable Systems: A Characterization and Its applications

  • Authors:
  • Jie Xu;Shi-ze Huang

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Computers - Special issue on fault-tolerant computing
  • Year:
  • 1995

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Abstract

In the system-level fault diagnosis area, the fundamental problem of characterizing sequentially $t$-diagnosable systems in the PMC model has remained open for more than two decades. We resolve this problem by providing a complete characterization of such systems. Our solution to the characterization problem leads to the correct identification of optimal sequentially $t$-diagnosable $D_{\delta,k}$ systems. Given a set of $n$ units where $n = 2t + 1$, an optimal $D_{\delta,k}$ system can be constructed with just $n(\lfloor(t + 2)/3\rfloor)$ tests, rather than $n(\lfloor t/2\rfloor + 1)$ tests驴a previously misjudged bound. An efficient algorithm for identifying the set of faulty units in a sequentially $t$-diagnosable $D_{\delta,k}$ system is given along the line of the proposed characterization, which is linear with respect to the number of tests in the system.Index Terms驴Consistent fault sets, $D_{\delta,k}$ systems, fault diagnosis, PMC model, sequentially diagnosable systems, syndrome, test assignment.