系统的最佳随机维护策略

The Optimal Policy on Random Maintenance of System

系统进行有计划的预防性维护时,要求设计一个具有周期T的维护时间表.有一个重要的问题就是这种维护时间表是否具有最佳周期.本文给出最佳随机维护策略问题有解存在的必要条件,并得到结论:当失效时刻Y服从指数分布时,对维护次数N的任意概率分布,最佳随机维护策略问题都无解.

It is requested to design a maintenance schedule with a period T for making maintenance to a system on the schedule.There is an important problem whether has an optimal period T in the maintenance schedule.In the paper,a necessary condition for the existence of solution on the problem is given,and it is obtained that,when the time of failure Y obeys an exponential distribution,there is no solution on the problem for the number of maintenances N with any probability distribution.