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State-dependent age replacement policy for a system subject to cascading failures

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  • Hyunju Lee

Abstract

A cascading failure is a failure in a system of interconnected parts in which the failure of a part triggers the failure of successive parts. Although some initial and empirical studies for probabilistic modeling and analysis of the cascading failures have been performed in the literature, general modeling frameworks and relevant maintenance policies have been barely reported yet. However, in this article, based on a general framework for modeling cascading failures, we study the optimal preventive maintenance problem for the system. A new state-dependent age replacement policy is developed. The comparison with the ordinary age replacement policy is also discussed.

Suggested Citation

  • Hyunju Lee, 2020. "State-dependent age replacement policy for a system subject to cascading failures," Journal of Risk and Reliability, , vol. 234(2), pages 359-376, April.
    • Handle: RePEc:sae:risrel:v:234:y:2020:i:2:p:359-376
    DOI: 10.1177/1748006X19880144
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    References listed on IDEAS

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    6. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
    7. Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, February.
    8. Y. S. Sherif & M. L. Smith, 1981. "Optimal maintenance models for systems subject to failure–A Review," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(1), pages 47-74, March.
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    Cited by:

    1. Murat Ozkut, 2022. "Comparison of the replacement policy in k-out-of-n systems having dependent components," Journal of Risk and Reliability, , vol. 236(1), pages 125-137, February.

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