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Availability measures for a two-state system

Published online by Cambridge University Press:  14 July 2016

Laurence A. Baxter
Laurence A. Baxter*
Affiliation:
University College London
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Abstract

The use of alternating renewal processes to model the behaviour of a repairable system is discussed, and properties of two measures of availability are reviewed. It is shown how the introduction of forward recurrence times to failure enables these measures to be generalised.

Keywords

TWO-STATE SYSTEMALTERNATING RENEWAL PROCESSAVAILABILITYRECURRENCE TIMES
Type
Research Papers
Information
Journal of Applied Probability , Volume 18 , Issue 1 , March 1981 , pp. 227 - 235
Copyright
Copyright © Applied Probability Trust 

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References

Barlow, R. E. and Hunter, L. C. (1961) Reliability analysis of a one-unit system. Operat. Res. 9, 200–208.Google Scholar
Barlow, R. E. and Proschan, F. (1965) Mathematical Theory of Reliability. Wiley, New York.Google Scholar
Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing. Holt, Rinehart and Winston, New York.Google Scholar
Cleroux, R. and Mcconalogue, D. J. (1976) A numerical algorithm for recursively-defined convolution integrals involving distribution functions. Management Sci. 22, 1138–1146.Google Scholar
Cox, D. R. (1962) Renewal Theory. Methuen, London.Google Scholar
Cox, D. R. and Lewis, P. A. W. (1966) The Statistical Analysis of Series of Events. Methuen, London.Google Scholar
Cox, D. R. and Miller, H. D. (1965) The Theory of Stochastic Processes. Methuen, London.Google Scholar
Gnedenko, B. V., Belyayev, Yu. K. and Solovyev, A. D. (1969) Mathematical Methods of Reliability Theory. Academic Press, New York.Google Scholar
Mcconalogue, D. J. (1978) Convolution integrals involving probability distribution functions (Algorithm 102). Comput. J. 21, 270–272.Google Scholar
Takács, L. (1957) On certain sojourn time problems in the theory of stochastic processes. Acta Math. Acad. Sci. Hungar. 8, 169–191.Google Scholar