Analyzing the Reliability of a Pumping System through the Application of Copula Analysis
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 op...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2024/9559221 |
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| _version_ | 1832544790082748416 |
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| author | Elsayed Elshoubary Taha Radwan |
| author_facet | Elsayed Elshoubary Taha Radwan |
| author_sort | Elsayed Elshoubary |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e87e2d73549e4e7b90befefd5ac91498 |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e87e2d73549e4e7b90befefd5ac914982025-02-03T09:55:36ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252024-01-01202410.1155/2024/9559221Analyzing the Reliability of a Pumping System through the Application of Copula AnalysisElsayed Elshoubary0Taha Radwan1Department of Basic ScienceDepartment of Management Information SystemsThis 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.http://dx.doi.org/10.1155/2024/9559221 |
| spellingShingle | Elsayed Elshoubary Taha Radwan Analyzing the Reliability of a Pumping System through the Application of Copula Analysis International Journal of Mathematics and Mathematical Sciences |
| title | Analyzing the Reliability of a Pumping System through the Application of Copula Analysis |
| title_full | Analyzing the Reliability of a Pumping System through the Application of Copula Analysis |
| title_fullStr | Analyzing the Reliability of a Pumping System through the Application of Copula Analysis |
| title_full_unstemmed | Analyzing the Reliability of a Pumping System through the Application of Copula Analysis |
| title_short | Analyzing the Reliability of a Pumping System through the Application of Copula Analysis |
| title_sort | analyzing the reliability of a pumping system through the application of copula analysis |
| url | http://dx.doi.org/10.1155/2024/9559221 |
| work_keys_str_mv | AT elsayedelshoubary analyzingthereliabilityofapumpingsystemthroughtheapplicationofcopulaanalysis AT taharadwan analyzingthereliabilityofapumpingsystemthroughtheapplicationofcopulaanalysis |