Reliability analysis of coherent systems subject to internal failures and external shocks

•We consider coherent systems subject to internal failures and external shocks.•The probability of failure of components subject to shocks is derived.•A new third-moment saddlepoint approximation approach is proposed.•Survival signature is applied to calculate the reliability of the system. In reali...

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Published inReliability engineering & system safety Vol. 181; pp. 75 - 83
Main Authors Huang, Xianzhen, Jin, Sujun, He, Xuefeng, He, David
Format Journal Article
LanguageEnglish
Published Barking Elsevier Ltd 01.01.2019
Elsevier BV
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Abstract •We consider coherent systems subject to internal failures and external shocks.•The probability of failure of components subject to shocks is derived.•A new third-moment saddlepoint approximation approach is proposed.•Survival signature is applied to calculate the reliability of the system. In reality, a system and its components, apart from internal failures, are often exposed to external shocks as well. Since external shocks have significant effects on the performance of the system, neglecting their effects during reliability analysis of the system leads to large prediction errors and even misleading conclusions. In this paper, we present a new method for reliability analysis of coherent systems subject to internal failures and random external shocks. The cumulative probability of failure (CPF) is used as an index to quantify the effects of random external shocks on the reliability of the components and a three-moment saddlepoint approximation approach is proposed to predict the CPF. In addition, the theory of survival signature is applied to assess the associations of the components of the system to calculate the reliability of the system efficiently. Finally, two numerical examples are utilized to demonstrate the validity and effectiveness of the proposed method.
AbstractList In reality, a system and its components, apart from internal failures, are often exposed to external shocks as well. Since external shocks have significant effects on the performance of the system, neglecting their effects during reliability analysis of the system leads to large prediction errors and even misleading conclusions. In this paper, we present a new method for reliability analysis of coherent systems subject to internal failures and random external shocks. The cumulative probability of failure (CPF) is used as an index to quantify the effects of random external shocks on the reliability of the components and a three-moment saddlepoint approximation approach is proposed to predict the CPF. In addition, the theory of survival signature is applied to assess the associations of the components of the system to calculate the reliability of the system efficiently. Finally, two numerical examples are utilized to demonstrate the validity and effectiveness of the proposed method.
•We consider coherent systems subject to internal failures and external shocks.•The probability of failure of components subject to shocks is derived.•A new third-moment saddlepoint approximation approach is proposed.•Survival signature is applied to calculate the reliability of the system. In reality, a system and its components, apart from internal failures, are often exposed to external shocks as well. Since external shocks have significant effects on the performance of the system, neglecting their effects during reliability analysis of the system leads to large prediction errors and even misleading conclusions. In this paper, we present a new method for reliability analysis of coherent systems subject to internal failures and random external shocks. The cumulative probability of failure (CPF) is used as an index to quantify the effects of random external shocks on the reliability of the components and a three-moment saddlepoint approximation approach is proposed to predict the CPF. In addition, the theory of survival signature is applied to assess the associations of the components of the system to calculate the reliability of the system efficiently. Finally, two numerical examples are utilized to demonstrate the validity and effectiveness of the proposed method.
Author He, Xuefeng
He, David
Jin, Sujun
Huang, Xianzhen
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Keywords Internal failure
Counting process
System reliability
Survival signature
Shocks
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SSID ssj0004957
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Snippet •We consider coherent systems subject to internal failures and external shocks.•The probability of failure of components subject to shocks is derived.•A new...
In reality, a system and its components, apart from internal failures, are often exposed to external shocks as well. Since external shocks have significant...
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SubjectTerms Approximation
Component reliability
Counting process
Failure
Internal failure
Probability distribution
Reliability
Reliability analysis
Reliability engineering
Shocks
Survival signature
System reliability
Systems analysis
Title Reliability analysis of coherent systems subject to internal failures and external shocks
URI https://dx.doi.org/10.1016/j.ress.2018.09.003
https://www.proquest.com/docview/2136903186
Volume 181
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