State probability of a series-parallel repairable system with two-types of failure states

Research output: Journal Publications and ReviewsRGC 62 - Review of books or of software (or similar publications/items)peer-review

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Original languageEnglish
Pages (from-to)1011-1020
Journal / PublicationInternational Journal of Systems Science
Issue number14
Publication statusPublished - 15 Nov 2006
Externally publishedYes


This paper presents a method for the analysis of a series-parallel safety-critical system where the system states can be distinguished into failure-safe and failure-dangerous. The method incorporates the Markov chain and universal generating function technique. In the model considered, both periodic inspection and repair (perfect and imperfect) of system elements are taken into account. The system state distributions and the overall system safety function are derived, based on the developed model. The proposed method is applicable to complex systems for analysing state distributions and it is also useful in decision-making such as determining the optimal proof-test interval or repair resource allocation. An illustrative example is given.

Research Area(s)

  • Availability, Failure-dangerous, Failure-safe, Markov model, Periodic inspection, Safety-critical system, Universal generating function