A Simplified Graphical Method for Deriving System Steady-State Probability

Ikuo Arizono, Akio Yamamoto

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Kumar & Billinton presented a technique for computing the steady-state availability from flow graphs based on Markov models. However, it is difficult to derive the steady-state probabilities for large system using their method. This paper presents a simplified graphical method for deriving the formula for the steady-state probability distribution. The method is applied to deriving the steady state probabilities for some D-out-of-N:F repairable systems.

Original languageEnglish
Pages (from-to)307-313
Number of pages7
JournalIEEE Transactions on Reliability
Issue number2
Publication statusPublished - 1993
Externally publishedYes


  • Exponential distribution
  • Flow graph
  • Markov
  • process

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Electrical and Electronic Engineering


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