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Delay-time modelling of a critical system subject to random inspections

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  • Scarf, P.A.
  • Cavalcante, C.A.V.
  • Lopes, R.S.

Abstract

We model the inspection-maintenance of a critical system in which the execution of inspections is random. The models we develop are interesting because they mimic realities in which production is prioritised over maintenance, so that inspections might be impeded or they might be opportunistic. Random maintenance has been modelled by others but there is little in the literature that relates to inspection of a critical system. We suppose that the critical system can be good, defective or failed, and that failure impacts on production, so that a failure is immediately revealed, but a defect does not. A defect, if revealed at inspection, is a trigger for replacement. We compare the cost and reliability of random inspections with scheduled periodic inspections and discuss the implications for practice. Our results indicate that inspections that are performed opportunistically rather than scheduled periodically may offer an economic advantage provided opportunities are sufficiently frequent and convenient. A hybrid inspection and replacement policy, with inspections subject to impediments, is robust to departure from its inspection schedule.

Suggested Citation

  • Scarf, P.A. & Cavalcante, C.A.V. & Lopes, R.S., 2019. "Delay-time modelling of a critical system subject to random inspections," European Journal of Operational Research, Elsevier, vol. 278(3), pages 772-782.
    • Handle: RePEc:eee:ejores:v:278:y:2019:i:3:p:772-782
    DOI: 10.1016/j.ejor.2019.04.042
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    6. Thyago Celso Cavalcante Nepomuceno & Késsia Thais Cavalcanti Nepomuceno & Thiago Poleto & Victor Diogho Heuer de Carvalho & Ana Paula Cabral Seixas Costa, 2022. "When Penalty Fails: Modeling Contractual Misincentives With Evidence From Portugal ITO Agreements," SAGE Open, , vol. 12(4), pages 21582440221, December.
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    9. Sinisterra, Wilfrido Quiñones & Lima, Victor Hugo Resende & Cavalcante, Cristiano Alexandre Virginio & Aribisala, Adetoye Ayokunle, 2023. "A delay-time model to integrate the sequence of resumable jobs, inspection policy, and quality for a single-component system," Reliability Engineering and System Safety, Elsevier, vol. 230(C).
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    19. Wang, Jiantai & Ma, Xiaobing & Yang, Li & Qiu, Qingan & Shang, Lijun & Wang, Jingjing, 2024. "A hybrid inspection-replacement policy for multi-stage degradation considering imperfect inspection with variable probabilities," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    20. Zhang, Fengxia & Liao, Haitao & Shen, Jingyuan & Ma, Yizhong, 2024. "Optimal maintenance over a finite time horizon for a system under imperfect inspection and dynamic working environment," Reliability Engineering and System Safety, Elsevier, vol. 246(C).

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