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Abstract

This scientific paper deals with the reliability models of technical systems on basis of continuous-time Markov chains (CTMC). An existing operator method for calculating the mean time to first failure (MTTFF), based on the reduction of Markov chain and solving the system of Kolmogorov-Chapman differential equations, is also discussed. The work also highlights the topological method offered by the author for calculating the mean time to first failure on basis of the special conversion of Markov chain. The calculation examples of MTTFF for the asymmetric computing system with triple modular redundancy by the existing operator method and the offered topological methods are also presented. The experimental research of calculation time by the operator and the topological methods are also discussed. According to the research results, the topological method offered by the author is significantly faster than existing operator method.