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Journal of Zhejiang University SCIENCE A 2007 Vol.8 No.3 P.495~500

http://doi.org/10.1631/jzus.2007.A0495


Inspection-replacement policy of system under predictive maintenance


Author(s):  LIU Bao-you, FANG You-tong, WEI Jin-xiang, WANG Yong-liang

Affiliation(s):  Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang 050043, China; more

Corresponding email(s):   liubyde@tom.com, youtong@zju.edu.cn

Key Words:  Inspection-replacement policy, Inspection and diagnosis, Monotone stochastic process, Reliability index, Vector Markov process method


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 A, 2007, 8(3): 495~500.

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author="LIU Bao-you, FANG You-tong, WEI Jin-xiang, WANG Yong-liang",
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%A FANG You-tong
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T1 - Inspection-replacement policy of system under predictive maintenance
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A1 - FANG You-tong
A1 - WEI Jin-xiang
A1 - WANG Yong-liang
J0 - Journal of Zhejiang University Science A
VL - 8
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SP - 495
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2007.A0495


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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[2] Biswas, A., Sarkar, J., Sarkar, S., 2003. Availability of a periodically inspected system, maintained under an imperfect-repair policy. IEEE Transaction Reliability, 52(3):311-318.

[3] Brown, M., Proschan, F., 1983. Imperfect repair. J. Appl. Probabil., 20(4):851-859.

[4] Chelbi, A., Ait-kadi, D., 1999. An optimal inspection strategy for a randomly failing equipment. Reliability Engineering and System Safety, 63(2):127-131.

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[7] Shi, D.H., 1999. Density Devolution Method in Stochastic Models. Science Press, Beijing (in Chinese).

[8] Stadje, W., Zuckerman, D., 1990. Optimal strategies for some repair replacement models. Advances in Appl. Probabil., 22(3):641-656.

[9] Su, B.H., 1997. On a two-dissimilar-unit system with three modes and random check. Microelectronics and Reliability, 37(8):1233-1238.

[10] Su, B.H., 2003. Research on the inspection polices of 2-failure-mode systems. Acta Automatica Sinica, 29(4):544-549.

[11] Yeh, L., 1988a. A note on the optimal replacement problem. Advances in Appl. Probabil., 20(2):479-482.

[12] Yeh, L., 1988b. Geometric processes and replacement problem. Acta Mathematicae Applicatae Sinica (English Series), 4(4):366-377.

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