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The Effect of an age replacement to a standby redundant system

Published online by Cambridge University Press:  14 July 2016

Hisashi Mine  and
Tatsuyuki Asakura
Hisashi Mine
Affiliation:
Kyoto University
Tatsuyuki Asakura
Affiliation:
Kyoto University
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Summary

A multiple unit standby redundant system with preventive maintenance is presented. The Laplace transform of the probability density function of the time to the first emptiness for the system and its mean time are derived. As a special case, a two-unit standby redundant system with preventive maintenance is investigated in detail.

Type
Research Papers
Information
Journal of Applied Probability , Volume 6 , Issue 3 , December 1969 , pp. 516 - 523
Copyright
Copyright © Applied Probability Trust 

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References

[1] Srinivasan, V. S. (1966) The effect of standby redundancy in system's failure with repair maintenance. Operat. Res. 14, 1024–1036.Google Scholar
[2] Srinivasan, V. S. (1968) First emptiness in the spare parts problem for repairable components. Operat. Res. 16, 407–415.Google Scholar
[3] Barlow, R. E. and Proschan, F. (1965) Mathematical Theory of Reliability. Wiley, New York.Google Scholar
[4] Flehinger, B. J. (1962) A general model for the reliability analysis of systems under various preventive maintenance policies. Ann. Math. Statist. 33, 137–156.Google Scholar
[5] Flehinger, B. J. (1962) A Markovian model for the analysis of the effects of marginal testing on system reliability. Ann. Math. Statist. 33, 754–766.Google Scholar
[6] Fox, B. (1967) Adaptive age replacement. J. Math. Anal. Appl. 18, 365–376.Google Scholar
[7] Bellman, R. (1957) Dynamic Programming. Princeton University Press, Princeton.Google ScholarPubMed
[8] Bellman, R. et al. (1966) Numerical Inversion of the Laplace Transform. American Elsevier, New York.Google Scholar