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Maximization of availability of 1-out-of-2:G repairable dependent system

Published online by Cambridge University Press:  01 July 2016

B. H. Joshi
Affiliation:
University of Poona
A. D. Dharmadhikari*
Affiliation:
University of Poona
*
Postal address: Department of Statistics, University of Poona, Pune 411007, India.
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Abstract

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The IFR property of the stochastic process governing a one-component system supported by an inactive standby and a repair facility when the lifetime of one component and the repair time of the other component are dependent, is established. We solve the problem of selecting repair rates to maximize the steady-state availability for given component failure rates when a lower bound for the MTBF and upper bounds for the steady-state expected number of repairs of the components per unit time and expected number of failures of the system per unit time are given.

Type
Letters to the Editor
Copyright
Copyright © Applied Probability Trust 1989 

References

Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing. Holt, Rinehart and Winston, New York.Google Scholar
Freund, J. E. (1961) A bivariate extension of the exponential distribution. J. Amer. Statist. Assoc. 56, 971977.Google Scholar
Lie, C. H., Hwang, C. L. and Tillman, F. A. (1977) Availability of maintained systems: a state of the art survey. AIIE Trans. 9, 247259.Google Scholar
Ross, S. M. (1979) Multivalued state component systems. Ann. Prob., 7, 379383.Google Scholar
Yearout, R. D., Reddy, P. and Grosh, D. (1986) Standby redundancy in reliability—A review. IEEE Trans. Reliability 35, 285292.CrossRefGoogle Scholar