The reliability of an object with semi-Markov failure rate

  • Authors:

  • Franciszek Grabski

  • Affiliations:

  • Chair of Mathematics, Polish Naval Academy, Śmidowicza 69, 81-919 Gdynia-Oksywie, Poland

  • Venue:
  • Applied Mathematics and Computation
  • Year:
  • 2003

Quantified Score

Hi-index 0.48

Visualization

Abstract

In this paper the properties of the reliability function of an object with the failure rate modeled by a semi-Markov process defined on an at most countable state space are presented. Applying the introduced system of renewal equations, the object reliability functions for the alternating and the Poisson failure rate process are obtained. The Laplace-Stieltjes transform of the object reliability function and its mean time to failure of are obtained.