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Maintenance policy on a finite time span for a gradually deteriorating system with imperfect improvements

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  • A Ponchet
  • M Fouladirad
  • A Grall

Abstract

The study deals with a gradually deteriorating system such as a large structure. This system is studied over a finite time span where the finite horizon can be seen, for example, as an insurance deadline which requires a specific maintenance policy. Maintenance actions are assumed to be imperfect in this work. An improvement function is used to model the impact of the maintenance on the degradation level of the system. The improvement function is based in the virtual age model ARA 1 . A maintenance policy is then proposed in which maintenance actions are systematically performed at given maintenance dates, if the system has not already failed. It is assumed that in the event of a failure the system is not repaired. The system is then unavailable until the finite horizon. The proposed maintenance policy is assessed on the finite time span, and both maintenance dates and the number of maintenance actions are optimized.

Suggested Citation

  • A Ponchet & M Fouladirad & A Grall, 2011. "Maintenance policy on a finite time span for a gradually deteriorating system with imperfect improvements," Journal of Risk and Reliability, , vol. 225(2), pages 105-116, June.
    • Handle: RePEc:sae:risrel:v:225:y:2011:i:2:p:105-116
    DOI: 10.1177/1748006XJRR349
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    References listed on IDEAS

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    1. Kijima, Masaaki & Morimura, Hidenori & Suzuki, Yasusuke, 1988. "Periodical replacement problem without assuming minimal repair," European Journal of Operational Research, Elsevier, vol. 37(2), pages 194-203, November.
    2. Nicolai, R.P. & Frenk, J.B.G. & Dekker, R., 2007. "Modelling and optimizing imperfect maintenance of coatings on steel structures," Econometric Institute Research Papers EI 2007-24, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. van der Weide, J.A.M. & Pandey, M.D. & van Noortwijk, J.M., 2010. "Discounted cost model for condition-based maintenance optimization," Reliability Engineering and System Safety, Elsevier, vol. 95(3), pages 236-246.
    4. Jiang, R., 2009. "An accurate approximate solution of optimal sequential age replacement policy for a finite-time horizon," Reliability Engineering and System Safety, Elsevier, vol. 94(8), pages 1245-1250.
    5. Kijima, Masaaki & Nakagawa, Toshio, 1992. "Replacement policies of a shock model with imperfect preventive maintenance," European Journal of Operational Research, Elsevier, vol. 57(1), pages 100-110, February.
    6. Jayabalan, V. & Chaudhuri, Dipak, 1992. "An heuristic approach for finite time maintenance policy," International Journal of Production Economics, Elsevier, vol. 27(3), pages 251-256, October.
    7. Nakagawa, T. & Mizutani, S., 2009. "A summary of maintenance policies for a finite interval," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 89-96.
    8. 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.
    9. Nielsen, Lars Relund & Kristensen, Anders Ringgaard, 2006. "Finding the K best policies in a finite-horizon Markov decision process," European Journal of Operational Research, Elsevier, vol. 175(2), pages 1164-1179, December.
    10. Zequeira, R.I. & Bérenguer, C., 2006. "Periodic imperfect preventive maintenance with two categories of competing failure modes," Reliability Engineering and System Safety, Elsevier, vol. 91(4), pages 460-468.
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