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Virtual age, is it real? ‐ Discussing virtual age in reliability context

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  • Maxim Finkelstein
  • Ji Hwan Cha

Abstract

Several settings, where the notion of virtual age is employed, are discussed. We argue that the age reduction imperfect repair modeling is often not sufficiently justified in practice, as it is not possible to execute repair in most of real situations that conforms with this model. On the other hand, a shock‐based virtual age model is suggested and justified via the probabilities of failures on shocks. The new notion of virtual age for degrading items is also introduced. We discuss how to recalculate virtual age after switching from one regime to another. Several examples illustrating different notions of virtual age are presented.

Suggested Citation

  • Maxim Finkelstein & Ji Hwan Cha, 2021. "Virtual age, is it real? ‐ Discussing virtual age in reliability context," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 37(1), pages 3-16, January.
    • Handle: RePEc:wly:apsmbi:v:37:y:2021:i:1:p:3-16
    DOI: 10.1002/asmb.2567
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    References listed on IDEAS

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    1. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    2. Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, March.
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    Cited by:

    1. Beutner, Eric, 2023. "A review of effective age models and associated non- and semiparametric methods," Econometrics and Statistics, Elsevier, vol. 28(C), pages 105-119.
    2. Fu, Yuqiang & Wang, Jun, 2022. "Optimum periodic maintenance policy of repairable multi-component system with component reallocation and system overhaul," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    3. Zheng, Rui & Zhao, Xufeng & Hu, Chaoming & Ren, Xiangyun, 2023. "A repair-replacement policy for a system subject to missions of random types and random durations," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
    4. Lirong Cui, 2021. "Discussion of virtual age, is it real?," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 37(1), pages 41-44, January.
    5. Syamsundar, A. & Naikan, V.N.A. & Wu, Shaomin, 2021. "Extended Arithmetic Reduction of Age Models for the Failure Process of a Repairable System," Reliability Engineering and System Safety, Elsevier, vol. 215(C).
    6. Maxim Finkelstein & Ji Hwan Cha, 2021. "Rejoinder to “Virtual age, is it real?”," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 37(1), pages 45-52, January.

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