A Simplified Graphical Method for Deriving System Steady-State Probability

Ikuo Arizono; Akio Yamamoto

doi:10.1109/24.229507

A Simplified Graphical Method for Deriving System Steady-State Probability

Ikuo Arizono, Akio Yamamoto

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	307-313
Number of pages	7
Journal	IEEE Transactions on Reliability
Volume	42
Issue number	2
DOIs	https://doi.org/10.1109/24.229507
Publication status	Published - 1993
Externally published	Yes

Keywords

Exponential distribution
Flow graph
Markov
process

ASJC Scopus subject areas

Safety, Risk, Reliability and Quality
Electrical and Electronic Engineering

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10.1109/24.229507

Cite this

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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.",

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AU - Yamamoto, Akio

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AB - 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.

KW - Exponential distribution

KW - Flow graph

KW - Markov

KW - process

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A Simplified Graphical Method for Deriving System Steady-State Probability

Abstract

Keywords

ASJC Scopus subject areas

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