(t, k)-Diagnosable System: A Generalization of the PMC Models

  • Authors:
  • Toru Araki;Yukio Shibata

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 2003

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Abstract

In this paper, we introduce a new model for diagnosable systems called (t,k)-diagnosable system which guarantees that at least k faulty units (processors) in a system are detected provided that the number of faulty units does not exceed t. This system includes classical one-step diagnosable systems and sequentially diagnosable systems. We prove a necessary and sufficient condition for (t,k)-diagnosable system, and discuss a lower bound for diagnosability. Finally, we deal with a relation between (t,k)-diagnosability and diagnosability of classical basic models.