Numerical Treatment of Homogeneous and Non-homogeneous Semi-Markov Reliability Models

In this paper, we extend to our knowledge, for the first case, some reliability results using homogeneous semi-Markov processes to the case of homogeneous modeling semi-Markov processes. Moreover, we apply some of our preceding results to give the numerical solutions and so the possibility to treat real life problems for which non-homogeneity in time is important.