考虑不完全检测的冲击模型最优维修策略

运筹学学报 ›› 2013, Vol. 17 ›› Issue (4): 33-42.

考虑不完全检测的冲击模型最优维修策略

李玲¹, 成国庆^1,*

1. 景德镇陶瓷学院信息工程学院，江西景德镇 333403

出版日期:2013-12-15 发布日期:2013-12-15
通讯作者: 成国庆 E-mail:cgq686@163.com
基金资助:
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)

Optimization of shock model being maintained under imperfect inspection

LI Ling¹, CHENG Guoqing^1,*

1. School of Information Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi, China

Online:2013-12-15 Published:2013-12-15

摘要/Abstract

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.

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

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.

Key words: imperfect inspection, preventive maintenance, shock model, geometric process, average cost rate, replacement policy

中图分类号:

O211.9

李玲, 成国庆. 考虑不完全检测的冲击模型最优维修策略[J]. 运筹学学报, 2013, 17(4): 33-42.

LI Ling, CHENG Guoqing. Optimization of shock model being maintained under imperfect inspection[J]. Operations Research Transactions, 2013, 17(4): 33-42.

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