关于随机小修费用模型的最优维修策略

Optimal Maintenance Polies for Random Repair Cost Maintenance Models

采用变分方法考察了具有随机小修费用的可修模型的维修策略问题．推导出了依赖年龄的最优费用界维修策略所满足的微分方程及其边界条件，从而得到了费用界策略形式下的最优解．对于包含预防性更换的可修模型也同样得到了费用界－预更换策略形式下的最优解．期望平均费用准则以及期望折扣费用准则两种情形都得到了考虑．

Variation method is used to treat the maintenance models where the minimal repair cost is a random variable,and its optimal policy is known as a cost limitmaintenance policy.The differential equation and the boundary value which satisfv theoptimal cost-limit are derived.Both the expected average cost criterion and the expecteddiscounted cost criterion are considered.