Copula-Based Bayesian Reliability Analysis of a Product of a Probability and a Frequency Model for Parallel Systems When Components Are Dependent
While the dependence assumption among the components is naturally important in evaluating the reliability of a system, studies investigating the issues of aggregation errors in Bayesian reliability analyses have been focused mainly on systems with independent components. This study developed a copul...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-02-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/4/1697 |
| _version_ | 1797396597647081472 |
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| author | Shi-Woei Lin Tapiwa Blessing Matanhire Yi-Ting Liu |
| author_facet | Shi-Woei Lin Tapiwa Blessing Matanhire Yi-Ting Liu |
| author_sort | Shi-Woei Lin |
| collection | DOAJ |
| description | While the dependence assumption among the components is naturally important in evaluating the reliability of a system, studies investigating the issues of aggregation errors in Bayesian reliability analyses have been focused mainly on systems with independent components. This study developed a copula-based Bayesian reliability model to formulate dependency between components of a parallel system and to estimate the failure rate of the system. In particular, we integrated Monte Carlo simulation and classification tree learning to identify key factors that affect the magnitude of errors in the estimation of posterior means of system reliability (for different Bayesian analysis approaches—aggregate analysis, disaggregate analysis, and simplified disaggregate analysis) to provide important guidelines for choosing the most appropriate approach for analyzing a model of products of a probability and a frequency for parallel systems with dependent components. |
| first_indexed | 2024-03-09T00:53:42Z |
| format | Article |
| id | doaj.art-91f86339791644f79aba98f5d485dead |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T00:53:42Z |
| publishDate | 2021-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-91f86339791644f79aba98f5d485dead2023-12-11T17:01:39ZengMDPI AGApplied Sciences2076-34172021-02-01114169710.3390/app11041697Copula-Based Bayesian Reliability Analysis of a Product of a Probability and a Frequency Model for Parallel Systems When Components Are DependentShi-Woei Lin0Tapiwa Blessing Matanhire1Yi-Ting Liu2Department of Industrial Management, National Taiwan University of Science and Technology, Taipei 106335, TaiwanDepartment of Industrial Management, National Taiwan University of Science and Technology, Taipei 106335, TaiwanDepartment of Industrial Management, National Taiwan University of Science and Technology, Taipei 106335, TaiwanWhile the dependence assumption among the components is naturally important in evaluating the reliability of a system, studies investigating the issues of aggregation errors in Bayesian reliability analyses have been focused mainly on systems with independent components. This study developed a copula-based Bayesian reliability model to formulate dependency between components of a parallel system and to estimate the failure rate of the system. In particular, we integrated Monte Carlo simulation and classification tree learning to identify key factors that affect the magnitude of errors in the estimation of posterior means of system reliability (for different Bayesian analysis approaches—aggregate analysis, disaggregate analysis, and simplified disaggregate analysis) to provide important guidelines for choosing the most appropriate approach for analyzing a model of products of a probability and a frequency for parallel systems with dependent components.https://www.mdpi.com/2076-3417/11/4/1697copulaBayesian reliability analysisaggregate analysisdisaggregate analysisdependent components |
| spellingShingle | Shi-Woei Lin Tapiwa Blessing Matanhire Yi-Ting Liu Copula-Based Bayesian Reliability Analysis of a Product of a Probability and a Frequency Model for Parallel Systems When Components Are Dependent Applied Sciences copula Bayesian reliability analysis aggregate analysis disaggregate analysis dependent components |
| title | Copula-Based Bayesian Reliability Analysis of a Product of a Probability and a Frequency Model for Parallel Systems When Components Are Dependent |
| title_full | Copula-Based Bayesian Reliability Analysis of a Product of a Probability and a Frequency Model for Parallel Systems When Components Are Dependent |
| title_fullStr | Copula-Based Bayesian Reliability Analysis of a Product of a Probability and a Frequency Model for Parallel Systems When Components Are Dependent |
| title_full_unstemmed | Copula-Based Bayesian Reliability Analysis of a Product of a Probability and a Frequency Model for Parallel Systems When Components Are Dependent |
| title_short | Copula-Based Bayesian Reliability Analysis of a Product of a Probability and a Frequency Model for Parallel Systems When Components Are Dependent |
| title_sort | copula based bayesian reliability analysis of a product of a probability and a frequency model for parallel systems when components are dependent |
| topic | copula Bayesian reliability analysis aggregate analysis disaggregate analysis dependent components |
| url | https://www.mdpi.com/2076-3417/11/4/1697 |
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