Generalized periodic replacement policies for repairable systems subject to two types of failures

Abstract

The purpose of this current research is to schedule generalized periodic replacement policies for a single unit system executing random working jobs. The system is subject to two types of failures when it has failed, including a minor failure (Type I failure), which can be thoroughly removed by the minimal repair and a catastrophic failure (Type II failure), which should be rectified by the corrective replacement. To be specific, four distinct periodic replacement models including a periodic replacement first model (Model A1), a modified periodic replacement first model (Model A2), a periodic replacement last model (Model B1), and a modified periodic replacement last model (Model B2) are investigated. The long run average cost rate (ACR) over an infinite time span under different situations is obtained theoretically and optimal periodic replacement interval for each condition is derived analytically. Numerical examples are exhibited to verify the derived results.

Implementing a bivariate ordering and replacement policy for deteriorating systems with two failure types

“…Regarding the arranging time, a replacement is also considered to fall into one of the two broad categories, that is, a preventive replacement and a failure replacement. Plenty of replacement policies are investigated, where age‐replacement policies, periodic replacement policies, and condition‐based replacement policies are included (Panagiotidou, 2014; Dong et al., 2019; Mizutani et al., 2020; Li et al., 2022).…”