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Performance measures for a deteriorating system subject to imperfect maintenance and delayed repairs

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  • Inma T Castro
  • Sophie Mercier

Abstract

A system subject to an accumulating deterioration and continuous monitoring is analyzed in this article. The system deterioration is modeled using a gamma process, and the system is considered as failed when its degradation level exceeds a failure threshold. The maintenance team lasts a fixed time to start the maintenance actions. To prevent downtime, an alert signal is sent in advance to the maintenance team when the degradation level of the system exceeds a preventive threshold. At the maintenance time, three maintenance actions can be performed: preventive replacement, corrective replacement, and imperfect repair. We assume that the repair is imperfect, in a sense that it reduces a part of the degradation accumulated by the system from the last maintenance action. Under these assumptions, integral equations fulfilled by different performance measures are obtained. Numerical examples are given that illustrate the analytical results.

Suggested Citation

  • Inma T Castro & Sophie Mercier, 2016. "Performance measures for a deteriorating system subject to imperfect maintenance and delayed repairs," Journal of Risk and Reliability, , vol. 230(4), pages 364-377, August.
    • Handle: RePEc:sae:risrel:v:230:y:2016:i:4:p:364-377
    DOI: 10.1177/1748006X16641789
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    References listed on IDEAS

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    1. Sophie Mercier, 2008. "Numerical Bounds for Semi-Markovian Quantities and Application to Reliability," Methodology and Computing in Applied Probability, Springer, vol. 10(2), pages 179-198, June.
    2. D. A. Elkins & M. A. Wortman, 2001. "On Numerical Solution of the Markov Renewal Equation: Tight Upper and Lower Kernel Bounds," Methodology and Computing in Applied Probability, Springer, vol. 3(3), pages 239-253, September.
    3. Do, Phuc & Voisin, Alexandre & Levrat, Eric & Iung, Benoit, 2015. "A proactive condition-based maintenance strategy with both perfect and imperfect maintenance actions," Reliability Engineering and System Safety, Elsevier, vol. 133(C), pages 22-32.
    4. Nikolaos Limnios, 2012. "Reliability Measures of Semi-Markov Systems with General State Space," Methodology and Computing in Applied Probability, Springer, vol. 14(4), pages 895-917, December.
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    Cited by:

    1. Giorgio, Massimiliano & Pulcini, Gianpaolo, 2018. "A new state-dependent degradation process and related model misidentification problems," European Journal of Operational Research, Elsevier, vol. 267(3), pages 1027-1038.
    2. N. C. Caballé & I. T. Castro, 2019. "Assessment of the maintenance cost and analysis of availability measures in a finite life cycle for a system subject to competing failures," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(1), pages 255-290, March.
    3. MERCIER, Sophie & CASTRO, I.T., 2019. "Stochastic comparisons of imperfect maintenance models for a gamma deteriorating system," European Journal of Operational Research, Elsevier, vol. 273(1), pages 237-248.

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