Reliability analysis of a repairable duplex system

E.J. Vanderperre and S.S. Makhanov

International Journal of Systems Science, 2014, vol. 45, issue 9, 1970-1977

Abstract: We analyse the survival time of a repairable duplex system characterised by cold standby and by a pre-emptive priority rule. We allow general probability distributions for failure and repair. Moreover, an important realistic feature of the system is the general assumption that the non-priority unit has a memory. This combination of features has not been analysed in the previous literature. Our (new) methodology is based on a concatenation of a Cauchy-type integral representation of the modified Heaviside unit-step function and a two-sided stochastic inequality. Finally, we introduce a security interval related to a security level and a suitable risk-criterion based on the survival function of the system. As a practical application, we analyse some particular cases of the survival function jointly with the security interval corresponding to a security level of 90.

Date: 2014
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DOI: 10.1080/00207721.2012.759671

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