Explicit results for wear processes in a Markovian environment

نویسنده

  • Jeffrey P. Kharoufeh
چکیده

We consider the reliability of a single-unit system whose cumulative damage over time is a continuous wear process {X (t): t¿ 0} that depends on an external environment process {Z(t): t¿ 0}. We explicitly derive the failure time distribution and moments in terms of Laplace–Stieltjes transforms by analyzing the Markov additive process {(X (t); Z(t)): t¿ 0} and demonstrate its applicability on an example problem. Published by Elsevier Science B.V.

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عنوان ژورنال:
  • Oper. Res. Lett.

دوره 31  شماره 

صفحات  -

تاریخ انتشار 2003