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A repair replacement model

  • Lam Yeh (a1)

Abstract

In this paper, we study a similar replacement model in which the successive survival times of the system form a process with non-increasing means, whereas the consecutive repair times after failure constitute a process with non-decreasing means. The system is replaced at the time of the Nth failure since the installation or last replacement. Based on the long-run average cost per unit time, we determine the optimal replacement policy N∗ and the maximum of the long-run average reward explicitly. Under additional conditions, the policy N∗ is even optimal among all replacement policies.

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Copyright

Corresponding author

Postal address: Department of Statistics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong.

References

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Ascher, H. and Feingold, H. (1984) Repairable Systems Reliability. Marcel Dekker, New York.
Barlow, R. E. and Proschan, F. (1965) Mathematical Theory of Reliability. Wiley, New York.
Downton, F. (1971) Stochastic models for successive failures. Proc. 38th Session Internat. Statist. Inst. 44 (1), 667694.
Yeh, Lam (1988a) A note on the optimal replacement problem. Adv. Appl. Prob. 20, 479482.
Yeh, Lam (1988b) Geometric process and replacement problem. Acta Math. Appl. Sinica 4, 366377.
Morimura, H. (1970) On some preventive maintenance policies for IFR. J. Operat. Res. Soc. Japan 12, 94124.
Nakagawa, T. (1984) Discrete Replacement Models. Stochastic Models in Reliability. Lecture Notes in Economics and Mathematical Systems 235, Springer-Verlag, Berlin.
Stadje, W. and Zuckerman, D. (1990) Optimal strategies for some repair replacement models. Adv. Appl. Prob. 22 (3).
Thompson, W. A. (1981) On the foundations of reliability. Technometrics 23, 113.

Keywords

A repair replacement model

  • Lam Yeh (a1)

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