Markov chains play a key role in the mathematical description of random processes occurring in systems composed of many elements. All possible system states, characterized by the number and failure degree of its elements, are considered as the values taken by a continuous-time stochastic process. The description and analysis of such systems are significantly simplified if the Markov property can be assumed. In this work, we consider a k-out-of-n reliability system with redundancy and apply Markov chain theory to its study. The system modeling was performed in MATLAB (Simulink)
reliability, repairable systems, redundancy, k-out-of-n systems, Markov chains
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