Abstract:

Based on the classical Markov repairable system, the state space of the system is divided into the set of working states and the set of failure states. Further, the set of the working states is divided into the set of the fully working states and the set of the fatigue working states based on the different working levels. If the sojourn time that the system is in the fatigue working states is less than a given constant τ, then this fatigue working time can be omitted, i.e. the system is thought of as excellent working during this fatigue working time. Otherwise, If the sojourn time that the system is in the fatigue working states is more than the given constant τ, then this fatigue working time can’t be omitted. Based on this assumption, aggregated Markov repairable system with fatigue time omission is modeled. Some reliability indexes of the original model and the new model are derived by using Laplace transform and the IonChannel modeling theory. Finally, a numerical example is given to illustrate these results obtained in the paper.

Key words: Markov repairable system; fatigue time omission; reliability; aggregated stochastic process