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Reliability evaluation and optimisation of imperfect inspections for a component with multi-defects

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  • Zhao, Jianmin
  • Chan, A.H.C.
  • Roberts, C.
  • Madelin, K.B.

Abstract

In this paper, a model is developed to evaluate the reliability and optimise the inspection schedule for a multi-defect component. The model uses a non-homogeneous Poisson process (NHPP) method in conjunction with a delay time approach. The inspections are designed to detect any defects in the component, however it can be imperfect. The defect is a definable state before a functional failure happens to the component. Occurrences of defects are assumed to follow an NHPP and a defect will be minimally repaired if it is identified during an inspection. It is shown that the failures occurring in an interval of inspection will also follow an NHPP. The situation of imperfect inspections and non-constant inspection intervals are considered. An algorithm is presented to optimise the intervals of inspections in order to maximise the reliability of the component, and the properties of the algorithm are shown. A numerical example with parametric study is given to show the performance of the model and the algorithm.

Suggested Citation

  • Zhao, Jianmin & Chan, A.H.C. & Roberts, C. & Madelin, K.B., 2007. "Reliability evaluation and optimisation of imperfect inspections for a component with multi-defects," Reliability Engineering and System Safety, Elsevier, vol. 92(1), pages 65-73.
    • Handle: RePEc:eee:reensy:v:92:y:2007:i:1:p:65-73
    DOI: 10.1016/j.ress.2005.11.003
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    References listed on IDEAS

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    4. Christer, A. H. & Lee, C., 2000. "Refining the delay-time-based PM inspection model with non-negligible system downtime estimates of the expected number of failures," International Journal of Production Economics, Elsevier, vol. 67(1), pages 77-85, August.
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    Citations

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    Cited by:

    1. Kenzin, Moshe & Frostig, Esther, 2009. "M out of n inspected systems subject to shocks in random environment," Reliability Engineering and System Safety, Elsevier, vol. 94(8), pages 1322-1330.
    2. van Oosterom, C.D. & Elwany, A.H. & Çelebi, D. & van Houtum, G.J., 2014. "Optimal policies for a delay time model with postponed replacement," European Journal of Operational Research, Elsevier, vol. 232(1), pages 186-197.
    3. Wang, Wenbin, 2012. "An overview of the recent advances in delay-time-based maintenance modelling," Reliability Engineering and System Safety, Elsevier, vol. 106(C), pages 165-178.
    4. Torres-Echeverría, A.C. & Martorell, S. & Thompson, H.A., 2009. "Modelling and optimization of proof testing policies for safety instrumented systems," Reliability Engineering and System Safety, Elsevier, vol. 94(4), pages 838-854.
    5. Jones, B. & Jenkinson, I. & Wang, J., 2009. "Methodology of using delay-time analysis for a manufacturing industry," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 111-124.
    6. Chunhui Guo & Chuan Lyu & Jiayu Chen & Dong Zhou, 2018. "A multi-event combination maintenance model based on event correlation," PLOS ONE, Public Library of Science, vol. 13(11), pages 1-24, November.
    7. Ye, Zhenggeng & Cai, Zhiqiang & Zhou, Fuli & Zhao, Jiangbin & Zhang, Pan, 2019. "Reliability analysis for series manufacturing system with imperfect inspection considering the interaction between quality and degradation," Reliability Engineering and System Safety, Elsevier, vol. 189(C), pages 345-356.
    8. Wu, Fan & Niknam, Seyed A. & Kobza, John E., 2015. "A cost effective degradation-based maintenance strategy under imperfect repair," Reliability Engineering and System Safety, Elsevier, vol. 144(C), pages 234-243.
    9. Wang, Huiying & Wang, Wenbin & Peng, Rui, 2017. "A two-phase inspection model for a single component system with three-stage degradation," Reliability Engineering and System Safety, Elsevier, vol. 158(C), pages 31-40.
    10. Ferreira, Rodrigo J.P. & de Almeida, Adiel Teixeira & Cavalcante, Cristiano A.V., 2009. "A multi-criteria decision model to determine inspection intervals of condition monitoring based on delay time analysis," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 905-912.
    11. Shan, Songqing & Wang, G. Gary, 2008. "Reliable design space and complete single-loop reliability-based design optimization," Reliability Engineering and System Safety, Elsevier, vol. 93(8), pages 1218-1230.
    12. Wang, Wenbin & Zhao, Fei & Peng, Rui, 2014. "A preventive maintenance model with a two-level inspection policy based on a three-stage failure process," Reliability Engineering and System Safety, Elsevier, vol. 121(C), pages 207-220.
    13. 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).

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