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On some steady-state characteristics of systems with gradual repair

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  • Finkelstein, Maxim
  • Ludick, Zani

Abstract

We consider a repairable system with continuous output that alternates between states of operation and repair. The output of the system in the operating state is represented by a continuous, decreasing function of time. We assume that during the repair state, the system can produce output that is modelled by an increasing stochastic process. The repair action gradually restores the output of the system to its initial level and it returns to the operating state. We obtain and analyse expressions for the generalized availability and related characteristics of systems with gradual repair and consider several meaningful examples.

Suggested Citation

  • Finkelstein, Maxim & Ludick, Zani, 2014. "On some steady-state characteristics of systems with gradual repair," Reliability Engineering and System Safety, Elsevier, vol. 128(C), pages 17-23.
    • Handle: RePEc:eee:reensy:v:128:y:2014:i:c:p:17-23
    DOI: 10.1016/j.ress.2014.03.011
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    References listed on IDEAS

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    1. van Noortwijk, J.M. & van der Weide, J.A.M. & Kallen, M.J. & Pandey, M.D., 2007. "Gamma processes and peaks-over-threshold distributions for time-dependent reliability," Reliability Engineering and System Safety, Elsevier, vol. 92(12), pages 1651-1658.
    2. Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, January.
    3. Maxim Finkelstein & Ji Hwan Cha, 2013. "Burn-in for Heterogeneous Populations," Springer Series in Reliability Engineering, in: Stochastic Modeling for Reliability, edition 127, chapter 0, pages 261-312, Springer.
    4. van Noortwijk, J.M., 2009. "A survey of the application of gamma processes in maintenance," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 2-21.
    5. Maxim Finkelstein & Ji Hwan Cha, 2013. "Shocks as Burn-in," Springer Series in Reliability Engineering, in: Stochastic Modeling for Reliability, edition 127, chapter 0, pages 313-361, Springer.
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    Cited by:

    1. Finkelstein, Maxim, 2015. "On the optimal degree of imperfect repair," Reliability Engineering and System Safety, Elsevier, vol. 138(C), pages 54-58.
    2. Radim Briš & Pavel Jahoda, 2022. "Really Ageing Systems Undergoing a Discrete Maintenance Optimization," Mathematics, MDPI, vol. 10(16), pages 1-17, August.
    3. Maxim Finkelstein & Mahmood Shafiee, 2017. "Preventive maintenance for systems with repairable minor failures," Journal of Risk and Reliability, , vol. 231(2), pages 101-108, April.
    4. Sergey S. Ketkov & Oleg A. Prokopyev & Lisa M. Maillart, 2023. "Planning of life-depleting preventive maintenance activities with replacements," Annals of Operations Research, Springer, vol. 324(1), pages 1461-1483, May.

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