Bathtub curve as a Markovian process to describe the reliability of repairable components

This study presents a novel mathematical formulation to describe repairable components reliability model based on their bathtub curve and repair rate behaviour. The model is derived from the concept of Markov chain, which allows defining component's lifetime process. In addition, the formulation brings components' degradation quantification. The proposed approach presents a pathway to develop an accurate reliability model for reliability assessments as shown in the presented case study.