Asymptotic and monotonicity properties of some repairable systems

The paper studies a model of repairable systems which is flexible enough to incorporate the standard imperfect repair and many other models from the l iterature. Palm stationarity of virtual ages, interfailure times and degree s of repair is studied. A Loynes-type scheme and Harris recurrent Markov ch ains combined with coupling methods are used. Results on the weak total var iation and moment convergences are obtained and illustrated by examples wit h IFR, DFR, heavy-tailed and light-tailed Lifetime distributions. Some conv ergences obtained are monotone and/or at a geometric rate.