冷备可修系统的二元最优更换策略

研究了由一个修理工、两同型部件组成的冷贮备可修系统 ,在假定故障部件不能“修复如新”的条件下 ,利用几何过程对系统中部件 1的故障次数N和工作寿命T组成的二元最优更换策略 (N ,T)进行了研究 ,问题是确定最优的更换策略 (N ,T )使得系统经长期运行单位时间内期望效益达到最大。导出了系统经长期运行单位时间内期望效益的明显表达式。最后 ,还在一定条件下证明了最优策略 (N ,T )比以往著作中的最优策略N 和T 优良。

Two Variable Optimal Replacement Policy for Cold Standby Repairable System

A cold standby repairable system consisting of two-identical component and one repairman is studied. Assume that the component after repair is not "as good as new", by using the geometric process we consider the two variable optimal replacement policy (%N%, %T%),based on the failure number %N% and the working age %T% for the component 1. The problem is to determine the optimal replacement policy(%N%+*, %T%+*), such that the long-run average benefit per unit time is maximized. Meanwhile, the expression of the long-run average benefit per unit time is derived. Finally, under given conditions, we can derive that the policy(N+, T+)is better than the policy N+ and T+ in previous references.