| Inspection-replacement policy of system under predictive maintenance |
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| 作者姓名： | LIU Bao-you FANG You-tong WEI Jin-xiang WANG Yong-liang |
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| 作者单位： | 1Department of Mathematics and Physics，Shijiazhuang Railway Institute，Shijiazhuang 050043，China |
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| 基金项目： | Project supported by the National Hi-Tech Research and Develop-ment Program (863) of China (No. 2005AA505101-506)，theNational Natural Science Foundation of China (No. 50477030) |
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| 摘 要： | In general, every system is in one of the three states: normal, abnormal, or failure state. When the system is diagnosed as abnormal state, it needs predictive maintenance. If the system fails, an identical new one will replace it. The predictive main- tenance cannot make the system “as good as new”. Under these assumptions, the reliability index and the inspection-replacement policy of a system were studied. The explicit expression of the reliability index and the average income rate (i.e., the long-run average income per unit time) are derived by using probability analysis and vector Markov process method. The criterion of feasibility for the optimal inspection-replacement policy under the maximum average income rate is obtained. The numerical example shows the optimal inspection-replacement policy can raise the average income rate when the optimal inspec- tion-replacement policy is feasible.
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| 关 键 词： | 检查鉴定 可靠性指数 电器维护 电子技术 |
| 收稿时间： | 2006-12-19 |
| 修稿时间： | 2007-01-05 |
Inspection-replacement policy of system under predictive maintenance |
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| LIU Bao-you FANG You-tong WEI Jin-xiang WANG Yong-liang.Inspection-replacement policy of system under predictive maintenance[J].Journal of Zhejiang University Science,2007,8(3):495-500. |
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| Authors: | Liu Bao-you Fang You-tong Wei Jin-xiang Wang Yong-liang |
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| Institution: | (1) Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang, 050043, China;(2) College of Electrical Engineering, Zhejiang University, Hangzhou, 310027, China;(3) Extrahigh Tension Transmittal and Transformation Company Branch, Hebei Electric Power Company, Shijiazhuang, 050051, China |
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| Abstract: | In general, every system is in one of the three states: normal, abnormal, or failure state. When the system is diagnosed as
abnormal state, it needs predictive maintenance. If the system fails, an identical new one will replace it. The predictive
maintenance cannot make the system “as good as new”. Under these assumptions, the reliability index and the inspection-replacement
policy of a system were studied. The explicit expression of the reliability index and the average income rate (i.e., the long-run
average income per unit time) are derived by using probability analysis and vector Markov process method. The criterion of
feasibility for the optimal inspection-replacement policy under the maximum average income rate is obtained. The numerical
example shows the optimal inspection-replacement policy can raise the average income rate when the optimal inspection-replacement
policy is feasible.
Project supported by the National Hi-Tech Research and Development Program (863) of China (No. 2005AA505101-506) and the National
Natural Science Foundation of China (No. 50477030) |
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| Keywords: | Inspection-replacement policy Inspection and diagnosis Monotone stochastic process Reliability index Vector Markov process method |
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