A semi-Markovian model allowing for inhomogenities with respect to process time

摘要

A non-homogeneous semi-Markov process is considered as an approach to model reliability characteristics of components or small systems with complex test resp. Maintenance strategies. This approach generalizes previous results achieved for ordinary inhomogeneous Markov processes. This paper focuses on the following topics to make the application of semi-Markov models feasible: rather than Transition probabilities Q_ij(t), which are used in normal mathematical text books to define semi-Markov processes transition rates λ_ij() are Used, as is usual for ordinary Markov processes.