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 in | Reliability engineering & system safety Vol. 181; pp. 75 - 83 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
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01.01.2019
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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. |
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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 |
Author_xml | – sequence: 1 givenname: Xianzhen orcidid: 0000-0003-1924-3515 surname: Huang fullname: Huang, Xianzhen email: xzhhuang@mail.neu.edu.cn organization: School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China – sequence: 2 givenname: Sujun surname: Jin fullname: Jin, Sujun organization: School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China – sequence: 3 givenname: Xuefeng surname: He fullname: He, Xuefeng organization: China Northeast Architectural Design & Research Institute Co., LTD, Shenyang 110166, China – sequence: 4 givenname: David surname: He fullname: He, David organization: School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China |
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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 |
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