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Storage availability of one-shot system under periodic inspection considering inspection error

Author

Listed:
  • Zhao, Qian Qian
  • Yun, Won Young
Abstract
This paper presents a model to find the optimal inspection intervals for one-shot system with n components under periodic inspection. We assume that the failure times of all components in a series structure are independent and follow an exponential distribution. In this model, the inspection is imperfect, and there can be undiscovered failures. The undiscovered failures can be detected at the following inspection time points. The interval availability and life cycle cost are considered as optimization criteria are derived analytically. A simulation algorithm procedure is also developed with Monte Carlo simulation to obtain the optimal inspection intervals. In illustration examples, we first calculate the system availability under periodic inspection through the analytical model and investigate the effect of inspection error on the storage availability. We then study the impacts of inspection and cost parameters on the optimal inspection intervals through a sensitivity analysis.

Suggested Citation

  • Zhao, Qian Qian & Yun, Won Young, 2019. "Storage availability of one-shot system under periodic inspection considering inspection error," Reliability Engineering and System Safety, Elsevier, vol. 186(C), pages 120-133.
    • Handle: RePEc:eee:reensy:v:186:y:2019:i:c:p:120-133
    DOI: 10.1016/j.ress.2019.02.016
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    References listed on IDEAS

    as
    1. Yang, Li & Zhao, Yu & Peng, Rui & Ma, Xiaobing, 2018. "Hybrid preventive maintenance of competing failures under random environment," Reliability Engineering and System Safety, Elsevier, vol. 174(C), pages 130-140.
    2. Flage, Roger, 2014. "A delay time model with imperfect and failure-inducing inspections," Reliability Engineering and System Safety, Elsevier, vol. 124(C), pages 1-12.
    3. Berrade, M.D. & Scarf, P.A. & Cavalcante, C.A.V. & Dwight, R.A., 2013. "Imperfect inspection and replacement of a system with a defective state: A cost and reliability analysis," Reliability Engineering and System Safety, Elsevier, vol. 120(C), pages 80-87.
    4. 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.
    5. Cheng, Yao & Elsayed, Elsayed A., 2018. "Reliability modeling and optimization of operational use of one-shot units," Reliability Engineering and System Safety, Elsevier, vol. 176(C), pages 27-36.
    6. Newby, Martin, 2008. "Monitoring and maintenance of spares and one shot devices," Reliability Engineering and System Safety, Elsevier, vol. 93(4), pages 588-594.
    7. Al Hanbali, Ahmad & van der Heijden, Matthieu, 2013. "Interval availability analysis of a two-echelon, multi-item system," European Journal of Operational Research, Elsevier, vol. 228(3), pages 494-503.
    8. Qiu, Qingan & Cui, Lirong & Gao, Hongda & Yi, He, 2018. "Optimal allocation of units in sequential probability series systems," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 351-363.
    9. Zhao, Qian Qian & Yun, Won Young, 2018. "Determining the inspection intervals for one-shot systems with support equipment," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 63-75.
    10. Nakagawa, T. & Mizutani, S. & Chen, M., 2010. "A summary of periodic and random inspection policies," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 906-911.
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    Citations

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    Cited by:

    1. Zhang, Fengxia & Shen, Jingyuan & Liao, Haitao & Ma, Yizhong, 2021. "Optimal preventive maintenance policy for a system subject to two-phase imperfect inspections," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    2. Zhang, Fengxia & Shen, Jingyuan & Ma, Yizhong, 2020. "Optimal maintenance policy considering imperfect repairs and non-constant probabilities of inspection errors," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    3. Zhu, Xiaojun & Balakrishnan, N., 2022. "One-shot device test data analysis using non-parametric and semi-parametric inferential methods and applications," Reliability Engineering and System Safety, Elsevier, vol. 221(C).

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