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

作　　者：成国庆[1] 李玲[1] 柳炳祥[1] 唐应辉[2] 

机构地区：[1]景德镇陶瓷学院信息工程学院,江西景德镇333403 [2]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《应用数学》2013年第1期165-171,共7页Mathematica Applicata

基　　金：国家自然科学基金(71171138);国家科技支撑计划项目(2012BAH25F02);江西省教育厅青年科学基金(GJJ12507);江西省自然科学基金项目(20122BAB201044)

摘　　要：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.

关 键 词：多阈值故障 Δ-冲击模型 几何过程 平均费用率 更换策略 

分 类 号：O213.2[理学—概率论与数理统计]