Maintenance Optimization for Repairable Deteriorating Systems under Imperfect Preventive Maintenance

Juhyun Lee, Byunghoon Kim and Suneung Ahn
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Juhyun Lee: Department of Industrial and Management Engineering, Hanyang University, Seoul 04763, Korea
Byunghoon Kim: Department of Industrial and Management Engineering, Hanyang University ERICA, Ansan 15588, Korea
Suneung Ahn: Department of Industrial and Management Engineering, Hanyang University ERICA, Ansan 15588, Korea

Mathematics, 2019, vol. 7, issue 8, 1-17

Abstract: This study deals with the preventive maintenance optimization problem based on a reliability threshold. The conditional reliability threshold is used instead of the system reliability threshold. Then, the difference between the two thresholds is discussed. The hybrid failure rate model is employed to represent the effect of imperfect preventive maintenance activities. Two maintenance strategies are proposed under two types of reliability constraints. These constraints are set to consider the cost-effective maintenance strategy and to evaluate the balancing point between the expected total maintenance cost rate and the system reliability. The objective of the proposed maintenance strategies is to determine the optimal conditional reliability threshold together with the optimal number of preventive maintenance activities that minimize the expected total maintenance cost per unit time. The optimality conditions of the proposed maintenance strategies are also investigated and shown via four propositions. A numerical example is provided to illustrate the proposed preventive maintenance strategies. Some sensitivity analyses are also conducted to investigate how the parameters of the proposed model affect the optimality of preventive maintenance strategies.

Keywords: preventive maintenance; imperfect repair; optimization; reliability threshold; repairable system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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