Abstract
The repairable system with preventive maintenance is one of the typical systems with wide useful applications in engineering. If the system can be made as good as new by preventive maintenance, both the life stochastic variable of different periods and fault correction time stochastic variable form monotonous stochastic process. Based on the above assumption and the available results, in this paper we discuss the maintenance and replacement policy of the repairable system with preventive maintenance. The intervals of preventive maintenance, T, and the times of system failure, N, are introduced and the vector Markov process method is used. The formulation of steady state average profit rate can be deduced to solve the optimization problem of the maintenance and replacement policy.
Similar content being viewed by others
References
Barlow, R.E., Hunter, L.C., 1960. Optimum preventive maintenance policy. Operations Res., 8:90–100.
Brown, M., Proschan, F., 1983. Imperfect repair. J. Appl. Probabil., 20(4):851–859. [doi:10.2307/3213596]
Jia, J.S., Zang, Y.L., 1997. A failing repair model taking account of the preventive repair time. Applied Mathematics: A Journal Chinese Universities, 12(4):425–432.
Kim, J.H., Park, J.B., Park, J.K., Kim, B.H., 2003. A new game-theoretic framework for maintenance strategy analysis. IEEE Trans. on Power Systems, 18(2):698–706. [doi:10.1109/TPWRS.2003.811013]
Stadje, W., Zuckerman, D., 1990. Optimal strategies for some repair replacement models. Advances in Appl. Probabil., 22(3):641–656. [doi:10.2307/1427462]
Shi, D.H., 1999. Density Evolution Method in Stochastic Models. Science Press, Beijing, p. 1–35 (in Chinese).
Wang, G.J., Zhang, Y.L., 2006. Optimal periodic preventive repair and replacement policy assuming geometric process repair. IEEE Trans. on Reliability, 55(1):118–122. [doi:10.1109/TR.2005.863808]
Yeh, L., 1988a. A note on the optimal replacement problem. Advances in Appl. Probabil., 20(2):479–482. [doi:10.2307/1427402]
Yeh, L., 1988b. Geometric processes and replacement problem. Acta Mathematicae Applicatae Sinica, 4(4):366–377. [doi:10.1007/BF02007241]
Zhang, Y.L., 1994. A bivariate optimal replacement policy for a repairable system. J. Appl. Probabil., 31(4):1123–1127. [doi:10.2307/3215336]
Zhang, Y.L., 1995. A Geometric Process Model with Preventive Repair. Proceedings of the Fifth Symposium on Reliability. RSORSC’95, p. 166–170.
Zhang, Y.L., 2002. A geometric-process repair-model with good-as-new preventive repair. IEEE Trans. on Reliability, 51(2):223–228. [doi:10.1109/TR.2002.1011529]
Author information
Authors and Affiliations
Additional information
Project supported by the National Natural Science Foundation of China (No. 50477030), and the Natural Science Foundation of Zhejiang Province (No. Y105351), China
Rights and permissions
About this article
Cite this article
Fang, Yt., Liu, By. Preventive repair policy and replacement policy of repairable system taking non-zero preventive repair time. J. Zhejiang Univ. - Sci. A 7 (Suppl 2), 207–212 (2006). https://doi.org/10.1631/jzus.2006.AS0207
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1631/jzus.2006.AS0207
Key words
- Preventive repair
- Monotone process
- Vector Markov process method
- Preventive repair policy and replacement policy