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两部件冷备系统的可靠性分析及其最优更换策略
引用本文:张元林.两部件冷备系统的可靠性分析及其最优更换策略[J].高校应用数学学报(A辑),1995(1):1-11.
作者姓名:张元林
作者单位:东南大学
摘    要:本文研究了两个不同部件、一个修理工组成的冷贮备可修系统,假定它们的寿命分布和维修分布均匀为指数分布,但故障后均不能修复如新时,我们利用几何过程和补充变量法求得了一些可靠性指标,并以故障次数为策略,以长期运行单位时间内的期望效益为目标函数,确定了最优的故障次数,便得目标函数达到最大值,从而保证了系统的可用度。

关 键 词:更新过程  更换策略  可靠性  冷贮备系统  可修系统

THE RELIABILITY ANALYSIS OF A TWO-UNIT COLD STANDBY REPAIRABLE SYSTEM AND ITS OPTIMAL REPLACEMENT POLICY
Zhang Yuanlin.THE RELIABILITY ANALYSIS OF A TWO-UNIT COLD STANDBY REPAIRABLE SYSTEM AND ITS OPTIMAL REPLACEMENT POLICY[J].Applied Mathematics A Journal of Chinese Universities,1995(1):1-11.
Authors:Zhang Yuanlin
Abstract:This paper considers a cold standby repairable system consisting of two dissimilar units and a single repairman.In the system,the life distributions and the repair distributions of these two units are assumed to be the exponential distributions, and it is not "as good as new" after the failed units repair. Under this assumption, by using the geometric process and the method of supplementary variable, we derive some reliability indices. We take the failure number and the long-run expected benefit per unit time as the replacement policy and the objective function respectively. Our problem is to determine the optimal replacement policy such that the objective function is maximized. Therefore,the system availability is assured.
Keywords:Geometric Process  Method of Supplementary Variable  Generalized Markov Process  Renewal Process  Replacement Policy  Renewal Reward Theorem  Expected Benefit  
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