Reliability Modeling With Dynamic Failure Rates and Nonlinear Dependencies.

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Title: Reliability Modeling With Dynamic Failure Rates and Nonlinear Dependencies.
Authors: Karimjonov, Ibrokhimjon1 (AUTHOR), Gholinezhad, Hadi2 (AUTHOR), Fekri, Masoud3 (AUTHOR) masoud.fekri2014@gmail.com, Sattarova, Barnokhon4 (AUTHOR)
Source: Quality & Reliability Engineering International. Jul2026, Vol. 42 Issue 5, p2196-2208. 13p.
Subjects: Reliability in engineering, Engineering systems, Electronic equipment, Failure mode & effects analysis, Mathematics, Engineering reliability theory
Abstract: Reliability assessment of complex engineering systems is crucial for ensuring safety, performance, and cost‐effectiveness. Traditional reliability models frequently treat failure rates as static and analyze component failure rates in isolation. When dependencies are acknowledged, they are typically considered in a linear manner. This approach, however, fails to adequately capture the dynamic and nonlinear interactions that characterize real‐world systems. This paper proposes a novel reliability modeling framework that integrates dynamic failure rates and nonlinear dependencies to enhance predictive accuracy in reliability analysis. The model considers time‐varying operational and environmental factors that influence failure behavior, along with nonlinear interdependencies among system components, which can amplify risks in unpredictable ways. The proposed framework improves reliability estimation under evolving conditions. To illustrate the implications of the proposed model assumptions, the model is applied on two numerical examples and to demonstrate the impact of the model assumptions, the reliability is compared with the case where these assumptions are not considered. The findings of this research contribute to the advancement of reliability engineering by providing a more comprehensive approach to modeling failures in dynamic, interconnected systems. [ABSTRACT FROM AUTHOR]
Copyright of Quality & Reliability Engineering International is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Reliability Modeling With Dynamic Failure Rates and Nonlinear Dependencies.
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  Data: <searchLink fieldCode="JN" term="%22Quality+%26+Reliability+Engineering+International%22">Quality & Reliability Engineering International</searchLink>. Jul2026, Vol. 42 Issue 5, p2196-2208. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Reliability+in+engineering%22">Reliability in engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Engineering+systems%22">Engineering systems</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+equipment%22">Electronic equipment</searchLink><br /><searchLink fieldCode="DE" term="%22Failure+mode+%26+effects+analysis%22">Failure mode & effects analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Engineering+reliability+theory%22">Engineering reliability theory</searchLink>
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  Data: Reliability assessment of complex engineering systems is crucial for ensuring safety, performance, and cost‐effectiveness. Traditional reliability models frequently treat failure rates as static and analyze component failure rates in isolation. When dependencies are acknowledged, they are typically considered in a linear manner. This approach, however, fails to adequately capture the dynamic and nonlinear interactions that characterize real‐world systems. This paper proposes a novel reliability modeling framework that integrates dynamic failure rates and nonlinear dependencies to enhance predictive accuracy in reliability analysis. The model considers time‐varying operational and environmental factors that influence failure behavior, along with nonlinear interdependencies among system components, which can amplify risks in unpredictable ways. The proposed framework improves reliability estimation under evolving conditions. To illustrate the implications of the proposed model assumptions, the model is applied on two numerical examples and to demonstrate the impact of the model assumptions, the reliability is compared with the case where these assumptions are not considered. The findings of this research contribute to the advancement of reliability engineering by providing a more comprehensive approach to modeling failures in dynamic, interconnected systems. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Quality & Reliability Engineering International is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1002/qre.70189
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 13
        StartPage: 2196
    Subjects:
      – SubjectFull: Reliability in engineering
        Type: general
      – SubjectFull: Engineering systems
        Type: general
      – SubjectFull: Electronic equipment
        Type: general
      – SubjectFull: Failure mode & effects analysis
        Type: general
      – SubjectFull: Mathematics
        Type: general
      – SubjectFull: Engineering reliability theory
        Type: general
    Titles:
      – TitleFull: Reliability Modeling With Dynamic Failure Rates and Nonlinear Dependencies.
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            NameFull: Karimjonov, Ibrokhimjon
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            NameFull: Gholinezhad, Hadi
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            NameFull: Fekri, Masoud
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            NameFull: Sattarova, Barnokhon
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          Dates:
            – D: 01
              M: 07
              Text: Jul2026
              Type: published
              Y: 2026
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              Value: 42
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            – TitleFull: Quality & Reliability Engineering International
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