Reliability of Combined k-out-of-n and Consecutive k(c)-out-of-n Systems of Markov Dependent Components


Demir S.

IEEE TRANSACTIONS ON RELIABILITY, vol.58, no.4, pp.691-693, 2009 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 58 Issue: 4
  • Publication Date: 2009
  • Doi Number: 10.1109/tr.2009.2026816
  • Title of Journal : IEEE TRANSACTIONS ON RELIABILITY
  • Page Numbers: pp.691-693

Abstract

A combined k-out-of-n: F(G) consecutive k-out-of-n:F(G) system fails (functions) iff at least components fail (function), or at least consecutive components fail (function). These models involve two common failure criteria, and can be used in various situations depending on the actual failure criteria involving consecutive components, or all components. Explicit formulas for the reliabilities of these systems are obtained for Markov dependent components using the distribution theory of runs. Some numerical results are also presented.