An extended geometric process repair model with delayed repair and slight failure type

Abstract

ABSTRACTThis article proposes an extended geometric process repair model to generalize the geometric process repair model and studies a repair-replacement problem for a simple repairable system with delayed repair, based on the failure number N of the system under the new model. An optimal replacement policy N* is determined by maximizing the average reward rate of the system. The explicit expression of the average reward rate is derived, and the uniqueness of the optimal replacement policy N* is also proved. Finally, a numerical example is given to illustrate some theoretical results and the model applicability.