一类退化可修系统的最优维修更换策略(英文)

An optimal replacement policy for a degenerative repairable system

考虑一类退化可修系统,假设其连续的工作时间形成递减的α-系列过程,连续的维修时间形成递增的几何过程。采用更换策略N,即当系统失效N次时更换一个全新的系统,得到了系统长期运行下的平均费用率,找到了最优更换策略N*的解析表达式。最后给出一个数值实例,对系统的一些参数进行了灵敏性分析。

A deteriorating simple repairable system is studied.The decreasing α-series process to model its successive working times and increasing geometric process to model its consecutive repair times are asserted.The average cost rate of the system is given under the policy N,and the optimal replacement policy is derived analytically or numerically.A numerical example is provided,and some discussions and sensitivity analysis of the model are carried out.