On degradation-based imperfect repair and induced generalized renewal processes

In this paper, we suggest and justify a new, basic approach to modelling the imperfect repair corresponding processes for items with observable degradation. We consider monotone of degradation independent increments. Imperfect reduces an item on failure some intermediate level. To define state after repair, random virtual age is introduced. Some stochastic properties describing remaining lifetime are considered. The generalized renewal process based suggested notion described, its studied. An alternative that considers defined in scale outlined.