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Preventive Maintenance of the k -out-of- n System with Respect to Cost-Type Criterion

Author

Listed:
  • Vladimir Rykov

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

  • Olga Kochueva

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

  • Yaroslav Rykov

    (V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Profsoyuiznaya 65, 117997 Moscow, Russia
    These authors contributed equally to this work.)

Abstract

In a previous paper, the problem of how the preventive maintenance organization for the k -out-of- n : F system could be used, in order to maximize system availability, was considered. The current paper continues these investigations using a different optimization criterion. The proposed approach is based on decision making theory for regenerative processes. We propose a general procedure for comparing different preventive maintenance strategies based on the ordered statistics distributions, aiming to choose the best one with respect to cost-type criterion. The lifetime distributions of system units are usually unknown and only one or two of their moments are available. For this reason, we pay special attention to the sensitivity analysis of decision making about preventive maintenance, taking into account the shape of the system unit lifetime distributions. A numerical study of two examples based on a real-world system illustrates the results of the proposed approach.

Suggested Citation

  • Vladimir Rykov & Olga Kochueva & Yaroslav Rykov, 2021. "Preventive Maintenance of the k -out-of- n System with Respect to Cost-Type Criterion," Mathematics, MDPI, vol. 9(21), pages 1-15, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2798-:d:672125
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    References listed on IDEAS

    as
    1. Maxim Finkelstein & Gregory Levitin, 2019. "Preventive maintenance for homogeneous and heterogeneous systems," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 35(3), pages 908-920, May.
    2. V. Rykov & M. Yu. Kitaev, 1995. "Controlled queueing systems," International Journal of Stochastic Analysis, Hindawi, vol. 8, pages 1-3, January.
    3. Hamdan, K. & Tavangar, M. & Asadi, M., 2021. "Optimal preventive maintenance for repairable weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    4. Philip Wolfe & G. B. Dantzig, 1962. "Linear Programming in a Markov Chain," Operations Research, INFORMS, vol. 10(5), pages 702-710, October.
    5. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
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    Cited by:

    1. Vladimir Rykov & Nika Ivanova & Irina Kochetkova, 2022. "Reliability Analysis of a Load-Sharing k -out-of- n System Due to Its Components’ Failure," Mathematics, MDPI, vol. 10(14), pages 1-13, July.

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