Natvig, Bent New light on measures of importance of system components. (English) Zbl 0576.62091 Scand. J. Stat., Theory Appl. 12, 43-54 (1985). 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 Cited in 1 ReviewCited in 14 Documents MSC: 62N05 Reliability and life testing 90B25 Reliability, availability, maintenance, inspection in operations research Keywords:component importance; lifetime increase; binary coherent system; measure of importance; minimal repair; remaining lifetime PDFBibTeX XMLCite \textit{B. Natvig}, Scand. J. Stat. 12, 43--54 (1985; Zbl 0576.62091)