Multi-State Reliability Systems Under Discrete Time Semi-Markovian Hypothesis


We consider repairable reliability systems with m components, the lifetimes and repair times of which are independent. The l-th component can be either in the failure state 0 or in the perfect state dl or in one of the degradation states {1, 2, . . . , dl − 1}. The time of staying in any of these states is a random variable following a discrete distribution not geometric. Thus, the state of every component and consequently of the whole system is described by a discretetime semi-Markov chain together with the backward recurrence chain. Using recently obtained results concerning the discrete-time semi-Markov chains, we derive basic reliability measures in a general form. Finally, we present some numerical results of our proposed approach in specific reliability systems.

DOI: 10.1109/TR.2010.2104210

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@article{Chryssaphinou2011MultiStateRS, title={Multi-State Reliability Systems Under Discrete Time Semi-Markovian Hypothesis}, author={Ourania Chryssaphinou and Nikolaos Limnios and Sonia Malefaki}, journal={IEEE Trans. Reliability}, year={2011}, volume={60}, pages={80-87} }