Properties of some time dependent probability failure functions in reliability theory

Vali Zardasht, Majid Asadi, Panlop Zeephongsekul

Abstract


We consider systems having many independent components connected in a parallel or series configuration with non-identical failure distributions. A time dependent measure is proposed which evaluate the probability that a failure of the system occurred at a specified component under the condition that the system has failed by some time. We proved several properties of this measure for parallel and serial systems.

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Keywords


time dependent failure; functions; Reversed Hazard Rate; Mean Past Lifetime; Proportional Reversed Hazard Rates (RHRs)

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DOI: http://dx.doi.org/10.21914/anziamj.v51i0.2418



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