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A methodology for analyzing the transient reliability of systems with identical components and identical repairmen

Amiri, M ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. Publisher: Sharif University of Technology , 2007
  3. Abstract:
  4. In this paper, the Markov models, eigenvectors and eigenvalue concepts are used to propose a methodology for analyzing the transient reliability of a system with identical components and identical repairmen. The components of the systems under consideration can have two distinct configurations, namely; they can be arranged in series or in parallel. A third case is also considered, in which the system is up (good) if k-out-of-n components are good. For all three cases, a procedure is proposed for calculating the transient probability of the system availability and the duration of the system to reach the steady state. © Sharif University of Technology, February 2007
  5. Keywords:
  6. Eigenvalues and eigenfunctions ; Markov processes ; Mathematical models ; Probability ; Identical components ; Identical repairmen ; Transient reliability ; Reliability theory ; Eigenvalue ; Numerical method ; Vector
  7. Source: Scientia Iranica ; Volume 14, Issue 1 , 2007 , Pages 72-77 ; 10263098 (ISSN)
  8. URL: http://scientiairanica.sharif.edu/article_2982.html