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1 results

  • On the reduction in remaining system lifetime due to the failure of a specific component

  • Bent Natvig
  • Journal:
    Journal of Applied Probability / Volume 19 / Issue 3 / September 1982
    Published online by Cambridge University Press:
    14 July 2016, pp. 642-652
    Print publication:
    September 1982

  • In a previous paper, Natvig [4], we suggested a new measure of the importance of a component in a coherent system and derived some of its properties. The measure is for the case of components not undergoing repair proportional to the expected reduction in remaining system lifetime due to the failure of the component. In the present paper, we arrive at the whole distribution of this reduction in remaining system lifetime. Furthermore, for the case where components have proportional hazards, and are not repaired, a speculation of another measure is given. This measure is proportional to the derivative of the expected total lifetime of a new system with respect to the inverse of the component's proportional hazard rate.