Semi-Markov model of system damage process

The reliability characteristics and parameters of multi-state systems modelled by the finite states regress characteristics and parameters of multi-state systems modelled by the finite states regress semi-Markov processes are investigated in the paper. Presented here models deal with un-repairable systems. The essential concepts of discrete states and continuous time semi-Markov process theory deliver. Mathematical apparatus for models constructions and analysis. Multi-state reliability functions and corresponding expectations, second moments and standard deviations are calculated for the presented systems.