Reliability measures for two‐part partition of states for aggregated Markov repairable systems

Three models for the aggregated stochastic processes based on an underlying continuous‐time Markov repairable system are developed in which two‐part partition of states is used. Several availability measures such as interval availability, instantaneous availability and steady‐state availability are presented. Some of these availabilities are derived by using Laplace transforms, which are more compact and concise. Other reliability‐distributions for these three models are given as well.