Skip to main content
Log in

Preventive repair policy and replacement policy of repairable system taking non-zero preventive repair time

  • Published:
Journal of Zhejiang University-SCIENCE A Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Barlow, R.E., Hunter, L.C., 1960. Optimum preventive maintenance policy. Operations Res., 8:90–100.

    Article  MathSciNet  MATH  Google Scholar 

  • Brown, M., Proschan, F., 1983. Imperfect repair. J. Appl. Probabil., 20(4):851–859. [doi:10.2307/3213596]

    Article  MathSciNet  MATH  Google Scholar 

  • 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.

    MATH  Google Scholar 

  • 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]

    Article  Google Scholar 

  • Stadje, W., Zuckerman, D., 1990. Optimal strategies for some repair replacement models. Advances in Appl. Probabil., 22(3):641–656. [doi:10.2307/1427462]

    Article  MathSciNet  MATH  Google Scholar 

  • Shi, D.H., 1999. Density Evolution Method in Stochastic Models. Science Press, Beijing, p. 1–35 (in Chinese).

    Google Scholar 

  • 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]

    Article  Google Scholar 

  • Yeh, L., 1988a. A note on the optimal replacement problem. Advances in Appl. Probabil., 20(2):479–482. [doi:10.2307/1427402]

    Article  MathSciNet  MATH  Google Scholar 

  • Yeh, L., 1988b. Geometric processes and replacement problem. Acta Mathematicae Applicatae Sinica, 4(4):366–377. [doi:10.1007/BF02007241]

    Article  MathSciNet  Google Scholar 

  • Zhang, Y.L., 1994. A bivariate optimal replacement policy for a repairable system. J. Appl. Probabil., 31(4):1123–1127. [doi:10.2307/3215336]

    Article  MathSciNet  MATH  Google Scholar 

  • 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]

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

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

Reprints 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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1631/jzus.2006.AS0207

Key words

CLC number

Navigation