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Analyzing the Reliability of a Pumping System through the Application of Copula Analysis

Author

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  • Elsayed Elshoubary
  • Taha Radwan
  • Mohamed A. Eltaher

Abstract

This paper derives and evaluates the reliability measures for a model pumping system composed of six subsystems linked in series: subsystems 1, 2, and 6, each comprising one unit, while subsystems 3 and 5 each contain three units operating in parallel. Subsystem 4 contains three units effectively operating in series. Unit failure rates are assumed to be constant, while repair rates are modeled by either a general distribution or, in the event of system failure, a Gumbel–Hougaard copula. The Laplace transform and additional supplementary variable approaches are employed to solve the system. The conventional measures of reliability are computed for a range of parameter values and as functions of time. In addition, tables are presented containing parameters for different cases, accompanied by a discussion of how they were chosen and their impact on the results.

Suggested Citation

  • Elsayed Elshoubary & Taha Radwan & Mohamed A. Eltaher, 2024. "Analyzing the Reliability of a Pumping System through the Application of Copula Analysis," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2024, pages 1-15, August.
    • Handle: RePEc:hin:jijmms:9559221
    DOI: 10.1155/2024/9559221
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