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| Analysis of parallel system reliability model withtwo unitsbased on Phase-type distribution |
| YIN Dong-liang, LI Fang, CHEN Tong |
| Department of Management Science, Naval University of Engineering, Wuhan 430033, China |
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Abstract In the modeling of system reliability, the lifetime and repair time of units are usually assumed to follow exponential distribution or other typical distributions.These models have many constraint conditions, and the applicability of models is not extensive.Therefore, Phase-type distribution was utilized to modeling, parallel repairable system consisting of two dissimilar units and a single repair facility in which the lifetime and repair time of units were assumed to obey different PH distributions was investigated.An analytic reliability model that was more appropriate to characterize the real situation was provided.Some important reliability features, such as the system stationary availability, mean time to first failure and stationary fault frequency, were obtained for certain.Finally, the validity and applicability of the model were verified by numerical applications.
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Received: 29 September 2015
Published: 28 April 2016
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基于PH分布的两部件并联系统可靠性模型分析
在系统可靠性建模过程中,通常假设部件寿命和维修时间等服从指数分布等典型分布,这样做会导致模型的约束条件过于严格,缩小了所研究模型的适用范围.采用Phase-type (PH)分布来构建模型,研究了包含2个不同部件的并联系统,考虑系统具有单一维修台,假设部件寿命和维修时间分别服从不同的PH分布,构建了描述能力更强的系统可靠性模型,得出了明确的系统稳态可用度、首次故障前平均工作时间、稳态故障频度等一系列相关可靠性参数的解析式.最后,通过算例分析证明了该方法的正确性和适用性.
关键词：
并联系统,
可靠性,
Phase-type分布
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