Inspection-replacement policy of system under predictive maintenance  

作　　者：LIU Bao-you FANG You-tong WEI Jin-xiang WANG Yong-liang 

机构地区：[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

出　　处：《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》2007年第3期495-500,共6页浙江大学学报（英文版）A辑（应用物理与工程）

基　　金：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)

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, lfthe 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.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.

关 键 词：lnspection-replacement policy. Inspection and diagnosis. Monotone stochastic process. Reliability index Vector Markov process method 

分 类 号：TB114.3[理学—概率论与数理统计] O224[理学—数学]