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Stochastic Models in Reliability and Maintenance pp 125–143Cite as

Imperfect Preventive Maintenance Models

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Summary

Two imperfect preventive maintenance (pm) models where (i) the age of the unit becomes x units of time younger at pm and (ii) the age t or the failure rate r(t) reduces to at or ar(t) at pm have been well-known. This chapter applies the notion (ii) of imperfectness to a sequential policy where the pm is done at sequential intervals. The expected costs of two models and optimal intervals are analytically derived. Further, we also apply this notion to a cumulative damage model where the total damage Y k reduces to a k Y k at the k-th pm. The expected cost is obtained, and optimal policies which minimize it are discussed. To make it possible to understand these results easily and correctly, some numerical examples of each model are given.

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Author information

Authors and Affiliations

  1. Department of Industrial Engineering, Aichi Institute of Technology, Toyota, 470-0392, Japan

    Toshio Nakagawa

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  1. Toshio Nakagawa
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Editors and Affiliations

  1. Department of Information & Telecommunication Engineering, Faculty of Mathematical Sciences and Information Engineering, Nanzan University, 27 Seirei-cho, 489-0863, Seto-Shi, Aichi, Japan

    Shunji Osaki

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© 2002 Springer-Verlag Berlin Heidelberg

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Nakagawa, T. (2002). Imperfect Preventive Maintenance Models. In: Osaki, S. (eds) Stochastic Models in Reliability and Maintenance. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24808-8_5

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  • DOI: https://doi.org/10.1007/978-3-540-24808-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07725-8

  • Online ISBN: 978-3-540-24808-8

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