Stability of Repairable Systems G} Unter Last

The paper studies a model of repairable systems which is exible enough to incorporate the standard imperfect repair and many other models from the literature. Palm stationarity of virtual ages, inter-failure times and degrees of repair is studied. A Loynes type scheme and Harris recurrent Markov chains combined with coupling methods are used. Results on the weak, total variation and moment convergences are obtained and illustrated by examples with IFR, DFR, heavy tailed, light tailed life time distributions. Some convergences obtained are monotone and/or at a geometric rate.