Reliability assessment of discrete-time [formula omitted](G) retrial system based on different failure types and the [formula omitted]-shock model.

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Title: Reliability assessment of discrete-time [formula omitted](G) retrial system based on different failure types and the [formula omitted]-shock model.
Authors: Hu, Zebin1 (AUTHOR), Hu, Linmin1 (AUTHOR) linminhu@ysu.edu.cn, Wu, Shaomin2 (AUTHOR), Yu, Xiaoyun1 (AUTHOR)
Source: Reliability Engineering & System Safety. Nov2024, Vol. 251, pN.PAG-N.PAG. 1p.
Subjects: Monte Carlo method, Reliability in engineering, Markov processes, New trials, Discrete-time systems
Abstract: The k / n (G) system is a typical reliability system in engineering practice. However, research on this system under discrete-time and retrial conditions is still limited. This paper establishes a k / n (G) retrial system model under a discrete-time condition based on different failure types and the δ -shock model, whose objective is to investigate its various reliability measures and the relationship between measures and parameters. Two methodologies are utilized in this paper to evaluate the system's various measures: the analytical method for the discrete-time Markov process and the Monte Carlo simulation method. The two methodologies are compared, and optimization is performed on certain measures concerning system parameters. A discrete PH distribution representation method for component lifetime under the δ -shock is presented, the relationship between various reliability measures of the system and various parameters is determined, and a novel approach for system reliability research based on the discrete PH distribution and the δ -shock is provided in this paper. • The δ -shock and different failure types are considered in discrete-time k / n (G) retrial system. • Differentiated replacement strategies are proposed for components with different failure types. • A method is developed to represent the lifetime of a component under the δ -shock by a discrete PH distribution. • Analytical and simulation methods are employed to evaluate system reliability. [ABSTRACT FROM AUTHOR]
Copyright of Reliability Engineering & System Safety is the property of Elsevier B.V. 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 assessment of discrete-time [formula omitted](G) retrial system based on different failure types and the [formula omitted]-shock model.
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  Data: <searchLink fieldCode="DE" term="%22Monte+Carlo+method%22">Monte Carlo method</searchLink><br /><searchLink fieldCode="DE" term="%22Reliability+in+engineering%22">Reliability in engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Markov+processes%22">Markov processes</searchLink><br /><searchLink fieldCode="DE" term="%22New+trials%22">New trials</searchLink><br /><searchLink fieldCode="DE" term="%22Discrete-time+systems%22">Discrete-time systems</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The k / n (G) system is a typical reliability system in engineering practice. However, research on this system under discrete-time and retrial conditions is still limited. This paper establishes a k / n (G) retrial system model under a discrete-time condition based on different failure types and the δ -shock model, whose objective is to investigate its various reliability measures and the relationship between measures and parameters. Two methodologies are utilized in this paper to evaluate the system's various measures: the analytical method for the discrete-time Markov process and the Monte Carlo simulation method. The two methodologies are compared, and optimization is performed on certain measures concerning system parameters. A discrete PH distribution representation method for component lifetime under the δ -shock is presented, the relationship between various reliability measures of the system and various parameters is determined, and a novel approach for system reliability research based on the discrete PH distribution and the δ -shock is provided in this paper. • The δ -shock and different failure types are considered in discrete-time k / n (G) retrial system. • Differentiated replacement strategies are proposed for components with different failure types. • A method is developed to represent the lifetime of a component under the δ -shock by a discrete PH distribution. • Analytical and simulation methods are employed to evaluate system reliability. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of Reliability Engineering & System Safety is the property of Elsevier B.V. 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:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.ress.2024.110371
    Languages:
      – Code: eng
        Text: English
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        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Monte Carlo method
        Type: general
      – SubjectFull: Reliability in engineering
        Type: general
      – SubjectFull: Markov processes
        Type: general
      – SubjectFull: New trials
        Type: general
      – SubjectFull: Discrete-time systems
        Type: general
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      – TitleFull: Reliability assessment of discrete-time [formula omitted](G) retrial system based on different failure types and the [formula omitted]-shock model.
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            NameFull: Hu, Zebin
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            NameFull: Hu, Linmin
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            NameFull: Wu, Shaomin
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            NameFull: Yu, Xiaoyun
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            – D: 01
              M: 11
              Text: Nov2024
              Type: published
              Y: 2024
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              Value: 251
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            – TitleFull: Reliability Engineering & System Safety
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