Reliability Analysis of an Aging Unit with a Controllable Repair Facility Activation

  • Dmitry Efrosinin
  • Janos Sztrik
  • Mais Farkhadov
  • Natalia Stepanova
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 231)


The chapter utilizes the continuous-time Markov chain for modeling the processes of the gradual aging with maintenance on a finite discrete set of an intermediate failure states. The transitions occur according to the birth-and-death process, and the unit fails completely after visiting the last available state. The unit of a multiple and single use is studied. The switching of the repair facility is performed by a hysteresis control policy with two threshold levels for switching on/off the repair server. We provide the expressions for the stationary and non-stationary performance and reliability characteristics, solution of optimization problems, and sensitivity analysis of the reliability function.


Reliability function Aging unit Sensitivity analysis Markov chain Average reward 



This work was funded by the Russian Foundation for Basic Research, Project No. 16-37-60072 mol_a_dk, supported by the Austro-Hungarian Cooperation Grant No. 96öu8, OMAA 2017, Stiftung Aktion Österreich-Ungarn.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Dmitry Efrosinin
    • 1
    • 2
  • Janos Sztrik
    • 3
  • Mais Farkhadov
    • 2
  • Natalia Stepanova
    • 4
  1. 1.Johannes Kepler University LinzLinzAustria
  2. 2.Institute of Control SciencesMoscowRussia
  3. 3.University of DebrecenDebrecenHungary
  4. 4.Altai Economics and Law InstituteBarnaulRussia

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