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An optimal repairable replacement model for deteriorating systems

Published online by Cambridge University Press:  14 July 2016

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

Abstract

In this paper, we study a repair replacement model for a stochastically deteriorating system. For the expected discounted reward case, we show that the optimal replacement policy is of the form ‘replace at the time of the Nth failure'.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1991 

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References

Ascher, H. and Feingold, H. (1984) Repairable Systems Reliability. Marcel Dekker, New York.Google Scholar
Barlow, R. E. and Proschan, F. (1965) Mathematical Theory of Reliability. Wiley, New York.Google Scholar
Brown, M. and Proschan, F. (1983) Imperfect repair. J. Appl. Prob. 20, 851859.Google Scholar
Downton, F. (1971) Stochastic models for successive failures. Proc. 38th Session Internat. Statist. Inst. 44(1), 667694.Google Scholar
Kijima, M. (1989) Some results for repairable systems with general repair. J. Appl. Prob. 26, 89102.Google Scholar
Yeh, Lam (1988a) A Note on the optimal replacement problem. Adv. Appl. Prob. 20, 479482.Google Scholar
Yeh, Lam (1988b) Geometric process and replacement problem. Acta Math. Appl. Sinica 4, 366377.Google Scholar
Yeh, Lam (1990) A repair replacement model. Adv. Appl. Prob. 22, 494497.Google Scholar
Yeh, Lam (1991) Optimal geometric process replacement model. Acta Math. Appl. Sinica 7. To appear.Google Scholar
Ross, S. M. (1970) Applied Probability Models with Optimization Applications. Holden-Day, San Francisco.Google Scholar
Ross, S. M. (1983) Stochastic Processes. Wiley, New York.Google Scholar
Stadje, W. and Zuckerman, D. (1990) Optimal strategies for some repair replacement models. Adv. Appl. Prob. 22, 641656.Google Scholar
Thompson, W. A. (1981) On the foundations of reliability. Technometrics 23, 113.Google Scholar