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

© The Institution of Engineering and Technology
Received 04/02/2018, Accepted 14/09/2018, Revised 08/08/2018, Published 19/09/2018

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.

Inspec keywords: reliability theory; Markov processes

Other keywords: Markov chain; bathtub curve; mathematical formulation; reliability assessments; component lifetime process; repairable component reliability model; Markovian process; repair rate behaviour; component degradation quantification

Subjects: Statistics; Reliability theory; Reliability; Markov processes; Maintenance and reliability; Markov processes

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