Optimization of a repairable deteriorating system subject to random threshold failure using preventive repair and stochastic lead time

Abstract

Abstract This paper presents a preventive repair / replace strategy for a repairable deteriorating system with stochastic lead time using phase type quasi-renewal processes. The aim of this study is to indicate improvement in the system performance when adopting preventive repair. Employing the standard results of the renewal reward process, an explicit expression for the long-run average cost rate and the operational availability of the system are derived to obtain an optimal replacement policy N* analytically, for the proposed model. Numerical illustrations are provided to show the effectiveness in the long-run average cost rate and operational availability, which depict the advantage of adopting a preventive repair with stochastic lead time.