基于几何过程的三种失效状态系统的最优策略模型

Optimal replacement police model for system with three of failure states based on geometric process

给出一种特殊的系统模型,该系统有三种失效状态,第一种失效为开路失效,第二种失效可以维修,第三种失效需要更换系统,以系统第一种失效的次数M和第二种失效的次数N组成的二元函数为策略(M,N),运用几何过程的理论,推导出平均费用率表达式C(M,N)和平均可用率的表达式A(M,N),在此基础上建立平均费用率和平均可用率的权衡优化模型.

A special system model was given, where three failure states existe＆ The first kind of failure was open failure, the second one could be maintained, and the last one would need to be dealt with system replacement. A binary function composed of the number of times of first failure M and that of second fail- ure N was taken as the policy （M, N）. By using the theory of geometric process, the expressions of aver- age cost rate C（M, N） and average availability rate A（M, N） were calculated. Accordingly, a trade-off optimization model of average cost rate and average availability rate was established.