Extended Optimal Replacement Policy with Age-Dependent Minimal Repair and Cumulative Repair-Cost Limit

摘要

This paper presents a generalized replacement model with age-dependent failure type and minimal repair based on a cumulative repair-cost limit policy, where the information of entire repair-cost history is adopted to decide whether the system is repaired or replaced. As the failures occur, the system has two failure types: (i) a type-I failure (minor) type that is rectified by a minimal repair, and (ii) a type-II failure (catastrophic) type that calls for a replacement. Consider a system that is replaced preventively at age T, or at the ?-th type-I failure, or at the /fc-th type-I failure (k