The reliability assessment of the electromagnetic valve of high-speed electric multiple units braking system based on two-parameter exponential distribution
In order to solve the reliability assessment of braking system component of high-speed electric multiple units, this article, based on two-parameter exponential distribution, provides the maximum likelihood estimation and Bayes estimation under a type-I life test. First of all, we evaluate the failu...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2016-06-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/1687814016654632 |
| _version_ | 1828821521625251840 |
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| author | Jianwei Yang Chunqing Zhao Jinhai Wang Dechen Yao Yongliang Bai |
| author_facet | Jianwei Yang Chunqing Zhao Jinhai Wang Dechen Yao Yongliang Bai |
| author_sort | Jianwei Yang |
| collection | DOAJ |
| description | In order to solve the reliability assessment of braking system component of high-speed electric multiple units, this article, based on two-parameter exponential distribution, provides the maximum likelihood estimation and Bayes estimation under a type-I life test. First of all, we evaluate the failure probability value according to the classical estimation method and then obtain the maximum likelihood estimation of parameters of two-parameter exponential distribution by performing and using the modified likelihood function. On the other hand, based on Bayesian theory, this article also selects the beta and gamma distributions as the prior distribution, combines with the modified maximum likelihood function, and innovatively applies a Markov chain Monte Carlo algorithm to parameters assessment based on Bayes estimation method for two-parameter exponential distribution, so that two reliability mathematical models of the electromagnetic valve are obtained. Finally, through type-I life test, the failure rates according to maximum likelihood estimation and Bayes estimation method based on Markov chain Monte Carlo algorithm are, respectively, 2.650 × 10 −5 and 3.037 × 10 −5 . Compared with the failure rate of a electromagnetic valve 3.005 × 10 −5 , it proves that the Bayes method can use a Markov chain Monte Carlo algorithm to estimate reliability for two-parameter exponential distribution and Bayes estimation is more closer to the value of electromagnetic valve. So, by fully integrating multi-source, Bayes estimation method can preferably modify and precisely estimate the parameters, which can provide a certain theoretical basis for the safety operation of high-speed electric multiple units. |
| first_indexed | 2024-12-12T12:55:42Z |
| format | Article |
| id | doaj.art-be711a6bcee8406686ad335927146922 |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-12-12T12:55:42Z |
| publishDate | 2016-06-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-be711a6bcee8406686ad3359271469222022-12-22T00:23:54ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402016-06-01810.1177/168781401665463210.1177_1687814016654632The reliability assessment of the electromagnetic valve of high-speed electric multiple units braking system based on two-parameter exponential distributionJianwei YangChunqing ZhaoJinhai WangDechen YaoYongliang BaiIn order to solve the reliability assessment of braking system component of high-speed electric multiple units, this article, based on two-parameter exponential distribution, provides the maximum likelihood estimation and Bayes estimation under a type-I life test. First of all, we evaluate the failure probability value according to the classical estimation method and then obtain the maximum likelihood estimation of parameters of two-parameter exponential distribution by performing and using the modified likelihood function. On the other hand, based on Bayesian theory, this article also selects the beta and gamma distributions as the prior distribution, combines with the modified maximum likelihood function, and innovatively applies a Markov chain Monte Carlo algorithm to parameters assessment based on Bayes estimation method for two-parameter exponential distribution, so that two reliability mathematical models of the electromagnetic valve are obtained. Finally, through type-I life test, the failure rates according to maximum likelihood estimation and Bayes estimation method based on Markov chain Monte Carlo algorithm are, respectively, 2.650 × 10 −5 and 3.037 × 10 −5 . Compared with the failure rate of a electromagnetic valve 3.005 × 10 −5 , it proves that the Bayes method can use a Markov chain Monte Carlo algorithm to estimate reliability for two-parameter exponential distribution and Bayes estimation is more closer to the value of electromagnetic valve. So, by fully integrating multi-source, Bayes estimation method can preferably modify and precisely estimate the parameters, which can provide a certain theoretical basis for the safety operation of high-speed electric multiple units.https://doi.org/10.1177/1687814016654632 |
| spellingShingle | Jianwei Yang Chunqing Zhao Jinhai Wang Dechen Yao Yongliang Bai The reliability assessment of the electromagnetic valve of high-speed electric multiple units braking system based on two-parameter exponential distribution Advances in Mechanical Engineering |
| title | The reliability assessment of the electromagnetic valve of high-speed electric multiple units braking system based on two-parameter exponential distribution |
| title_full | The reliability assessment of the electromagnetic valve of high-speed electric multiple units braking system based on two-parameter exponential distribution |
| title_fullStr | The reliability assessment of the electromagnetic valve of high-speed electric multiple units braking system based on two-parameter exponential distribution |
| title_full_unstemmed | The reliability assessment of the electromagnetic valve of high-speed electric multiple units braking system based on two-parameter exponential distribution |
| title_short | The reliability assessment of the electromagnetic valve of high-speed electric multiple units braking system based on two-parameter exponential distribution |
| title_sort | reliability assessment of the electromagnetic valve of high speed electric multiple units braking system based on two parameter exponential distribution |
| url | https://doi.org/10.1177/1687814016654632 |
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