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考虑不完全检测的冲击模型最优维修策略
引用本文:李玲,成国庆.考虑不完全检测的冲击模型最优维修策略[J].运筹学杂志,2013(4):33-42.
作者姓名:李玲  成国庆
作者单位:景德镇陶瓷学院信息工程学院,江西景德镇333403
基金项目: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Ⅳ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.

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

Optimization of shock model being maintained under imperfect inspection
Authors:LI Ling  CHENG Guoqing
Institution:School of Information Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi, China
Abstract: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.
Keywords:imperfect inspection  preventive maintenance  shock model  geometric process  average cost rate  replacement Dolicv
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