Please use this identifier to cite or link to this item: https://doi.org/10.1080/00207720600903201
Title: State probability of a series-parallel repairable system with two-types of failure states
Authors: Levitin, G.
Zhang, T. 
Xie, M. 
Keywords: Availability
Failure-dangerous
Failure-safe
Markov model
Periodic inspection
Safety-critical system
Universal generating function
Issue Date: 15-Nov-2006
Source: Levitin, G., Zhang, T., Xie, M. (2006-11-15). State probability of a series-parallel repairable system with two-types of failure states. International Journal of Systems Science 37 (14) : 1011-1020. ScholarBank@NUS Repository. https://doi.org/10.1080/00207720600903201
Abstract: 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.
Source Title: International Journal of Systems Science
URI: http://scholarbank.nus.edu.sg/handle/10635/68419
ISSN: 00207721
DOI: 10.1080/00207720600903201
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