Signatures of Repairable Systems
ISBN: 9781118445112
Año de publicación: 2019
Páginas: 1-6
Tipo: Capítulo de Libro
Resumen
The literature related to system signatures is briefly discussed. In short, computing a “signature” is associated with the fact of capturing the essence of a coherent system to simplify the quantification of its reliability. In this context, a representation of the reliability function of a repairable coherent system of components is addressed. It is assumed that each component can individually fail and be minimally repaired up to a fixed number of times. Failures occur at any component according to a nonhomogeneous Poisson process with a common intensity function. First, it is shown that the reliability function of a series system can be written in terms of the intensity function and a distribution-free measure based on the probabilities of the number of repairs until system failure. Secondly, the utility of this result in the comparative study of system performance is illustrated through a “preservation” theorem. Finally, the results for series systems lead to an explicit expression for computing the reliability function of any repairable coherent system that depends on a distribution-free measure of the system's design.
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