多阈值故障的δ-冲击模型最优维修更换策略

Optimal Maintenance Strategy for an Extended δ-shock Model with Multi-failure Thresholds

将单阈值故障的δ-冲击模型推广为多阈值故障的情形,以用于处理不同的冲击间隔会导致不同程度故障的工程实际问题.在假设系统是退化的且有k个不同阈值的条件下,以降低系统的运行费用为目标,以部件故障次数N为更换策略,通过更新过程理论求得系统的平均费用率表达式.最后借助数值例子演示了本模型,并对相关参数进行了灵敏度分析.

In δ-shock models, different interarrival time of two successtve shocks may cause different degrees of failure. In order to deal with such problems, the classic δ-shock model is generalized to the one with multi-failure thresholds. Assume that the system is dete- riorating and has k failure thresholds. An explicit expression of average cost rate of such sys- tem is given by using renewal process and the replacement policy N. Finally,it provides a nu- merical example to illustrate the proposed model,and also studies the sensitivities for the op- timal policy with respect to parameters.