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Reliability Analysis of a Load-Sharing k -out-of- n System Due to Its Components’ Failure

Author

Listed:
  • Vladimir Rykov

    (Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., 117198 Moscow, Russia
    Department of Applied Mathematics and Computer Modelling, National University of Oil and Gas «Gubkin University», 65 Leninsky Prospect, 119991 Moscow, Russia
    Institute for Transmission Information Problems (Named after A.A. Kharkevich) RAS, Bolshoy Karetny, 19, GSP-4, 127051 Moscow, Russia)

  • Nika Ivanova

    (Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., 117198 Moscow, Russia
    V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, 65 Profsoyuznaya Str., 117997 Moscow, Russia)

  • Irina Kochetkova

    (Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Str., 117198 Moscow, Russia
    Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, 44-2 Vavilova Str., 119333 Moscow, Russia)

Abstract

The reliability characteristics of a k -out-of- n : F system are studied in the case when a failure of one of the system’s components leads to increasing the load on others, resulting in their residual lifetimes decreasing. The situation is modeled with the help of changing the components and the system hazard rate function. The reliability function and other reliability characteristics are calculated. Numerical examples are considered.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2457-:d:862805
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    References listed on IDEAS

    as
    1. Gregory Levitin, 2005. "The Universal Generating Function in Reliability Analysis and Optimization," Springer Series in Reliability Engineering, Springer, number 978-1-84628-245-4, December.
    2. Erhard Cramer & Udo Kamps, 1996. "Sequential order statistics and k-out-of-n systems with sequentially adjusted failure rates," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(3), pages 535-549, September.
    3. 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.
    4. V. Rykov, 2018. "On steady state probabilities of renewable system with Marshal–Olkin failure model," Statistical Papers, Springer, vol. 59(4), pages 1577-1588, December.
    Full references (including those not matched with items on IDEAS)

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