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,使得目标函数达到最大值,从而保证了系统的可用度。
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.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
1995年第1期1-11,共11页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词
更新过程
更换策略
可靠性
冷贮备系统
可修系统
Geometric Process
Method of Supplementary Variable
Generalized Markov Process
Renewal Process
Replacement Policy
Renewal Reward Theorem
Expected Benefit.