| A GMRP Approach for Reliability Analysis of Repairable Systems |
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| 引用本文： | Wang Jing & Yang DeliInst. of Systems Engineering,Dalian University of Technology. Dalian 116023,China. A GMRP Approach for Reliability Analysis of Repairable Systems[J]. 系统工程与电子技术(英文版), 1991, 0(2) |
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| 作者姓名： | Wang Jing & Yang DeliInst. of Systems Engineering Dalian University of Technology. Dalian 116023 China |
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| 作者单位： | Wang Jing & Yang DeliInst. of Systems Engineering，Dalian University of Technology. Dalian 116023，China |
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| 摘 要： | We propose here a mathematical approach for the study of repairable systems with arbitrary distributions. The idea is to define a new type of stochastic process, called a generalized Markov renewal process (GMRP). which may describe the transition behavior of the stochastic process at non-regenerative points. In the paper an analytical method for the GMRP is put forward and the formulas are then presented for reliability analysis of repairable systems which can be described by a GMRP with finite states. A signal flow graph technique for system modeling is also summarized here. Finally- an analytical model to evaluate the reliability of a m-out-of- n.G system with general repair-time distribution is developed by means of the GMRP approach.
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A GMRP Approach for Reliability Analysis of Repairable Systems |
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| Wang Jing , Yang DeliInst. of Systems Engineering,Dalian University of Technology. Dalian ,China. A GMRP Approach for Reliability Analysis of Repairable Systems[J]. Journal of Systems Engineering and Electronics, 1991, 0(2) |
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| Authors: | Wang Jing & Yang DeliInst. of Systems Engineering Dalian University of Technology. Dalian China |
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| Affiliation: | Wang Jing & Yang DeliInst. of Systems Engineering,Dalian University of Technology. Dalian 116023,China |
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| Abstract: | We propose here a mathematical approach for the study of repairable systems with arbitrary distributions. The idea is to define a new type of stochastic process, called a generalized Markov renewal process (GMRP). which may describe the transition behavior of the stochastic process at non-regenerative points. In the paper an analytical method for the GMRP is put forward and the formulas are then presented for reliability analysis of repairable systems which can be described by a GMRP with finite states. A signal flow graph technique for system modeling is also summarized here. Finally- an analytical model to evaluate the reliability of a m-out-of- n.G system with general repair-time distribution is developed by means of the GMRP approach. |
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| Keywords: | Reliability evaluation Markov process Stochastic processes. |
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