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Interval Availability Distribution for A 1-out-of-2 Reliability System with Repair

Published online by Cambridge University Press:  27 July 2009

M. C. van der Heijden
M. C. van der Heijden
Affiliation:
Department of Actuarial Sciences and EconometricsThe Free University Amsterdam, The Netherlands
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Abstract

This paper deals with a two-unit reliability model having one operating unit and one cold standby unit and with ample repair facilities. An approximate method is given for the calculation of the probability distribution of the proportion of time that the system is available in a given time period. The approximate method first computes the mean-time-to-failure and the meantime-to-repair and next approximates the up-and-down process of the two-unit reliability system by an alternating renewal process having exponentially distributed on and off periods. Numerical investigations show a satisfactory performance of the approximation. Also, a sensitivity analysis is given.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 1 , Issue 2 , April 1987 , pp. 211 - 223
Copyright
Copyright © Cambridge University Press 1987

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