A Study on Optimal Preventive Maintenance Policies for Cumulative Damage Models

  • Naoto KaioEmail author
Part of the Management and Industrial Engineering book series (MINEN)


In this chapter, we discuss the optimal preventive maintenance policies for the system that fails when the cumulated amount of damage by shocks exceeds a stochastic failure level, assuming a continuous distribution and a discrete one, respectively. We apply the expected costs per unit time in the steady state as criteria of optimality and seek the optimal policies minimizing these expected costs. We show that there exists a unique optimal policy under certain conditions, respectively. Furthermore, we refer to the modified models where the shock does not always give the damage to the system.


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Copyright information

© Springer International Publishing Switzerland 2018

Authors and Affiliations

  1. 1.Department of Economic InformaticsHiroshima Shudo UniversityAsaminami-kuJapan

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