A Simplified Graphical Method for Deriving System Steady-State Probability

Ikuo Arizono, Akio Yamamoto

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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
Volume42
Issue number2
DOIs
Publication statusPublished - 1993
Externally publishedYes

Fingerprint

Flow graphs
Probability distributions
Availability

Keywords

  • Exponential distribution
  • Flow graph
  • Markov
  • process

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Safety, Risk, Reliability and Quality
  • Computer Graphics and Computer-Aided Design
  • Hardware and Architecture
  • Software

Cite this

A Simplified Graphical Method for Deriving System Steady-State Probability. / Arizono, Ikuo; Yamamoto, Akio.

In: IEEE Transactions on Reliability, Vol. 42, No. 2, 1993, p. 307-313.

Research output: Contribution to journalArticle

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