考虑不完全检测的冲击模型最优维修策略  

Optimization of shock model being maintained under imperfect inspection

作　　者：李玲[1] 成国庆[1] 

机构地区：[1]景德镇陶瓷学院信息工程学院,江西景德镇333403

出　　处：《运筹学学报》2013年第4期33-42,共10页Operations Research Transactions

基　　金：国家科技支撑计划(No.2012BAH25F02);江西省教育厅青年科学基金(No.GJJ12507);江西省自然科学基金(No.20122BAB201044)

摘　　要：针对制造系统中设备检测不完全的情形,研究基于不完全检测的冲击模型的周期检测、维修联合策略.通过定期检测获知系统的劣化状态以进行必要的预防性维修.在假设系统是退化的且有k个不同故障状态的条件下,以最小化系统运行成本为目标,以检测周期T、系统更换前故障次数N为联合决策变量,利用更新过程理论建立了系统平均费用率C(T,N)的数学模型,并且给出最优联合策略的数值算法.最后借助数值例子演示了该模型,分析了检测水平对系统运行成本的影响.In view of imperfect inspections in manufacturing systems, a shock model with imperfect inspection is considered. The system is periodically inspected so that a preventive maintenance can be performed when necessary. Assume that the system is deteriorating and has k failure types. An explicit expression of average cost rate C（T, N） of system is given by using renewal process and considering inspection cycle T and replacement policy N. A numerical algorithm is given to obtain the optimal joint strategy. Finally, it provides a numerical example to illustrate the proposed model, and also studies the impact of inspection level on average cost rate.

关 键 词：不完全检测 预防性维修 冲击模型 几何过程 平均费用率 更换策略 

分 类 号：O211.9[理学—概率论与数理统计]