Reliability Evaluation of a Load-sharing Parallel System with Failure Dependence
In a parallel structure load-sharing system, the failure rate of the operating components will usually increase, due to the additional loading induced by the other components' failure. Hence failure dependency exists among components. To quantify the failure dependency, a dependence function is...
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| Published in | Communications in statistics. Simulation and computation Vol. 45; no. 9; pp. 3094 - 3113 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Philadelphia
Taylor & Francis
20.10.2016
Taylor & Francis Ltd |
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| Online Access | Get full text |
| ISSN | 0361-0918 1532-4141 |
| DOI | 10.1080/03610918.2014.920880 |
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| Abstract | In a parallel structure load-sharing system, the failure rate of the operating components will usually increase, due to the additional loading induced by the other components' failure. Hence failure dependency exists among components. To quantify the failure dependency, a dependence function is introduced. Under the assumptions that the repair time distributions of components are arbitrary and life times are exponential distributions whose failure rates vary with the number of operating components, a new load-sharing parallel system with failure dependency is proposed. To model the stochastic behavior of the system, the Semi-Markov process induced by it is given. The Semi-Markov kernel associated with the process is also presented. The availability and the time to the first system failure are obtained by employing Markov renewal theory. A numerical example is presented to illustrate the results obtained in the paper. The impact of the failure dependence on the system is also considered. |
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| AbstractList | In a parallel structure load-sharing system, the failure rate of the operating components will usually increase, due to the additional loading induced by the other components' failure. Hence failure dependency exists among components. To quantify the failure dependency, a dependence function is introduced. Under the assumptions that the repair time distributions of components are arbitrary and life times are exponential distributions whose failure rates vary with the number of operating components, a new load-sharing parallel system with failure dependency is proposed. To model the stochastic behavior of the system, the Semi-Markov process induced by it is given. The Semi-Markov kernel associated with the process is also presented. The availability and the time to the first system failure are obtained by employing Markov renewal theory. A numerical example is presented to illustrate the results obtained in the paper. The impact of the failure dependence on the system is also considered. |
| Author | Chen, Wei Jia, Xujie Zhang, Jie Wang, Liying |
| Author_xml | – sequence: 1 givenname: Liying surname: Wang fullname: Wang, Liying email: wly_sjz@sohu.com organization: Department of Mathematics & Physics, Shijiazhuang Tiedao University – sequence: 2 givenname: Jie surname: Zhang fullname: Zhang, Jie organization: The 54th Research Institute of China Electronics Technology Group Corporation – sequence: 3 givenname: Wei surname: Chen fullname: Chen, Wei organization: Potevio New Energy Company Limited – sequence: 4 givenname: Xujie surname: Jia fullname: Jia, Xujie organization: School of Science, Minzu University of China |
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| SubjectTerms | Availability Dependence Failure Failure dependence Failure rates Kernels Load-sharing parallel system Markov analysis Mathematical analysis Mathematical models Reliability Repair time Semi-Markov process Stress concentration Time to the first system failure |
| Title | Reliability Evaluation of a Load-sharing Parallel System with Failure Dependence |
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