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Is perfect repair always perfect?

Author

Listed:
  • Ji Hwan Cha

    (Ewha Womans University)

  • Maxim Finkelstein

    (University of the Free State
    ITMO University)

Abstract

Most often, perfect repair is conventionally understood as a replacement of the failed item by the new one. However, contrary to the common perception, new does not mean automatically that the distribution to the next failure is identical to that on the previous cycle. First, it can be different due to dynamic environment and, secondly, due to heterogeneity of items for replacement. Both of these causes that affect the failure mechanism of items are studied. Environment is modeled by the non-homogeneous Poisson shock process. Two models for the failure mechanism defined by the extreme shock model and the cumulative shock model are considered. Examples illustrating our findings are presented.

Suggested Citation

  • Ji Hwan Cha & Maxim Finkelstein, 2020. "Is perfect repair always perfect?," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 90-104, March.
    • Handle: RePEc:spr:testjl:v:29:y:2020:i:1:d:10.1007_s11749-019-00645-7
    DOI: 10.1007/s11749-019-00645-7
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    References listed on IDEAS

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    1. Jorge Navarro & Yolanda Águila, 2017. "Stochastic comparisons of distorted distributions, coherent systems and mixtures with ordered components," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(6), pages 627-648, November.
    2. Patryk Miziuła & Jorge Navarro, 2018. "Bounds for the reliability functions of coherent systems with heterogeneous components," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 34(2), pages 158-174, March.
    3. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
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    5. Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, March.
    6. Cha, Ji Hwan & Finkelstein, Maxim, 2016. "New shock models based on the generalized Polya process," European Journal of Operational Research, Elsevier, vol. 251(1), pages 135-141.
    7. Patryk Miziuła & Jorge Navarro, 2017. "Sharp bounds for the reliability of systems and mixtures with ordered components," Naval Research Logistics (NRL), John Wiley & Sons, vol. 64(2), pages 108-116, March.
    Full references (including those not matched with items on IDEAS)

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