Reliability analysis of standby systems with multi‐state elements subject to constant transition rates

Standby redundancy has been extensively applied to critical engineering systems to enhance system reliability. Researches on reliability evaluation for standby systems focus more on systems with binary‐state elements. However, multi‐state elements with different performances have played a significan...

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Published inQuality and reliability engineering international Vol. 35; no. 1; pp. 318 - 328
Main Authors Jia, Heping, Levitin, Gregory, Ding, Yi, Song, Yonghua
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 01.02.2019
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ISSN0748-8017
1099-1638
DOI10.1002/qre.2401

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Abstract Standby redundancy has been extensively applied to critical engineering systems to enhance system reliability. Researches on reliability evaluation for standby systems focus more on systems with binary‐state elements. However, multi‐state elements with different performances have played a significant role in engineering systems. This paper presents an approach for reliability analysis of standby systems composed of multi‐state elements with constant state transition rates and absorbing failure states. The approach allows modelling different standby systems beyond cold, warm and hot ones by taking into account differences in possible maintenance of elements in standby and operation modes and dependence of elements' operational behavior on their initial state at the time of activation. An iterative algorithm for reliability evaluation based on element state probabilities is suggested. Illustrating examples of evaluating reliability of different types of homogeneous and heterogeneous standby systems are demonstrated.
AbstractList Standby redundancy has been extensively applied to critical engineering systems to enhance system reliability. Researches on reliability evaluation for standby systems focus more on systems with binary‐state elements. However, multi‐state elements with different performances have played a significant role in engineering systems. This paper presents an approach for reliability analysis of standby systems composed of multi‐state elements with constant state transition rates and absorbing failure states. The approach allows modelling different standby systems beyond cold, warm and hot ones by taking into account differences in possible maintenance of elements in standby and operation modes and dependence of elements' operational behavior on their initial state at the time of activation. An iterative algorithm for reliability evaluation based on element state probabilities is suggested. Illustrating examples of evaluating reliability of different types of homogeneous and heterogeneous standby systems are demonstrated.
Author Jia, Heping
Ding, Yi
Song, Yonghua
Levitin, Gregory
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Snippet Standby redundancy has been extensively applied to critical engineering systems to enhance system reliability. Researches on reliability evaluation for standby...
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SubjectTerms constant transition rates
Dependence
Energy management
iterative algorithm
Iterative algorithms
Iterative methods
multi‐state elements
Redundancy
Reliability analysis
Reliability engineering
standby systems
System reliability
Systems analysis
Title Reliability analysis of standby systems with multi‐state elements subject to constant transition rates
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