多态退化串联可修系统的最优维修更换策略

Optimal replacement policy for a deteriorating series repairable system with multi-state

针对工程技术领域中的多失效状态的串联退化可修系统,提出了一种维修更换模型.假设系统中的部件有多个失效状态,故障时以一定的概率进入其中某个状态,部件不能修复如新.以系统中部件的故障次数为更换策略,系统的平均费用率为目标函数,利用推广的几何过程理论建立数学模型,证明了最优维修更换策略的存在性.最后,通过一个数值例子验证了本方法的有效性.

A maintenance model for a deteriorating series system with multi-state is proposed.Assume that every component in the system has more than one failure states.The occurrence of a failure state of any one type is mutually exclusive and stochastic.The failed components can not be repaired as good as new.Under these assumptions,an explicit expression of average cost rate of such system is given by using generalized geometric process and the replacement policy based on the failure numbers of the components. The optimal replacement policy is derived analytically.Finally.a numerical example is given to validate the replacement policy.