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Renewable k -Out-of- n System with the Component-Wise Strategy of Preventive System Maintenance

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  • Vladimir Rykov

    (Department of Applied Mathematics and Computer Modeling, National University of Oil and Gas “Gubkin University”, 65, Leninsky Prospekt, 119991 Moscow, Russia
    Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), Miklukho-Maklaya Str., 6, 117197 Moscow, Russia
    These authors contributed equally to this work.)

  • Olga Kochueva

    (Department of Applied Mathematics and Computer Modeling, National University of Oil and Gas “Gubkin University”, 65, Leninsky Prospekt, 119991 Moscow, Russia
    These authors contributed equally to this work.)

  • Elvira Zaripova

    (Department of Natural Sciences, Moscow University of the Ministry of Internal Affairs of the Russian Federation Named after V. J. Kikot, Russia, St. Academician Volgin, 12, 117437 Moscow, Russia
    These authors contributed equally to this work.)

Abstract

At the SMARTY-22 conference, a review of the regenerative methods development was presented, including its application to the study of a non-renewable k -out-of- n system. This paper develops the previous study for the renewable k -out-of- n system, including an investigation different preventive maintenance strategies based on the system state observation. We also include the review of Smith’s regeneration idea development. Some new results are presented that form the basis for an algorithm for comparing preventing maintenance strategies with respect to the maximization of the availability factor. A numerical study was conducted for the 4-out-of-6 and 4-out-of-8 models. The study demonstrates the sensitivity of decision making to the shape of the repair time distribution.

Suggested Citation

  • Vladimir Rykov & Olga Kochueva & Elvira Zaripova, 2023. "Renewable k -Out-of- n System with the Component-Wise Strategy of Preventive System Maintenance," Mathematics, MDPI, vol. 11(9), pages 1-21, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:2158-:d:1139384
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    References listed on IDEAS

    as
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    5. Vladimir Rykov & Nika Ivanova & Dmitry Kozyrev, 2021. "Application of Decomposable Semi-Regenerative Processes to the Study of k -out-of- n Systems," Mathematics, MDPI, vol. 9(16), pages 1-23, August.
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