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New light on measures of importance of system components. (English) Zbl 0576.62091

Consider a binary coherent system of components not undergoing repair. A measure of importance of the i-th component is revisited which is proportional to the expected reduction in remaining system lifetime due to the failure of the i-th component.
It is shown that this measure equals the expected increase in system lifetime when we allow exactly one minimal repair of the i-th component. (Minimal repair means repair with that distribution of remaining lifetime the component had just before failing.) Moreover, this measure can easily be determined even for fairly large systems on a computer. Finally, the measure is compared to some other measures.
Reviewer: V.Abel

MSC:

62N05 Reliability and life testing
90B25 Reliability, availability, maintenance, inspection in operations research
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