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Scheduling of imperfect inspections for reliability critical systems with shock-driven defects and delayed failures

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  • Levitin, Gregory
  • Finkelstein, Maxim
  • Huang, Hong-Zhong

Abstract

The paper considers systems that perform missions in a random environment modeled by the Poisson process of shocks. Shocks may inflict defects that result in a failure after a random delay. The generalized extreme shock model is employed for stochastic description of systems resistance to shocks. If a defect is detected, a mission is aborted and a rescue operation is activated to prevent a failure. Imperfect inspections are performed during a mission to detect the defects. A system survives if the rescue operation is completed before a failure occurs. A probabilistic model is developed for deriving two system's performance metrics: the mission success probability (MSP) and the failure avoidance probability (FAP). It is shown that there exists a tradeoff between these metrics. An inspection schedule optimization problem is formulated and solved to maximize the MSP while providing the desired level of the FAP.

Suggested Citation

  • Levitin, Gregory & Finkelstein, Maxim & Huang, Hong-Zhong, 2019. "Scheduling of imperfect inspections for reliability critical systems with shock-driven defects and delayed failures," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 89-98.
    • Handle: RePEc:eee:reensy:v:189:y:2019:i:c:p:89-98
    DOI: 10.1016/j.ress.2019.04.016
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    References listed on IDEAS

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    3. Akcay, Alp, 2022. "An alert-assisted inspection policy for a production process with imperfect condition signals," European Journal of Operational Research, Elsevier, vol. 298(2), pages 510-525.
    4. Cheng, Guoqing & Li, Ling & Shangguan, Chunxia & Yang, Nan & Jiang, Bo & Tao, Ningrong, 2023. "Optimal joint inspection and mission abort policy for a partially observable system," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    5. Chadjiconstantinidis, Stathis & Eryilmaz, Serkan, 2023. "Reliability of a mixed δ-shock model with a random change point in shock magnitude distribution and an optimal replacement policy," Reliability Engineering and System Safety, Elsevier, vol. 232(C).
    6. Alberti, A.R. & Neto, W.A. Ferreira & Cavalcante, C.A.V. & Santos, A.C.J., 2022. "Modelling a flexible two-phase inspection-maintenance policy for safety-critical systems considering revised and non-revised inspections," Reliability Engineering and System Safety, Elsevier, vol. 221(C).

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