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Model Uncertainty in Accelerated Degradation Testing Analysis

Author

Listed:
  • Le Liu
  • Xiao-Yang Li
  • Enrico Zio

    (LGI - Laboratoire Génie Industriel - EA 2606 - CentraleSupélec)

  • Rui Kang
  • Tong-Min Jiang

Abstract

—In accelerated degradation testing (ADT), test data from higher than normal stress conditions are used to find stochas-tic models of degradation, e.g., Wiener process, Gamma process, and inverse Gaussian process models. In general, the selection of the degradation model is made with reference to one specific product and no consideration is given to model uncertainty. In this paper, we address this issue and apply the Bayesian model averaging (BMA) method to constant stress ADT. For illustration, stress relaxation ADT data are analyzed. We also make a simulation study to compare the s-credibility intervals for single model and BMA. The results show that degradation model uncertainty has significant effects on the p-quantile lifetime at the use conditions, especially for extreme quantiles. The BMA can well capture this uncertainty and compute compromise s-credibility intervals with the highest coverage probability at each quantile.

Suggested Citation

  • Le Liu & Xiao-Yang Li & Enrico Zio & Rui Kang & Tong-Min Jiang, 2017. "Model Uncertainty in Accelerated Degradation Testing Analysis," Post-Print hal-01652218, HAL.
  • Handle: RePEc:hal:journl:hal-01652218
    DOI: 10.1109/TR.2017.2696341
    Note: View the original document on HAL open archive server: https://hal.science/hal-01652218
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    References listed on IDEAS

    as
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    Cited by:

    1. Liu, Zhe & Li, Xiaoyang & Kang, Rui, 2022. "Uncertain differential equation based accelerated degradation modeling," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    2. Dan Xu & Jiaolan He & Zhou Yang, 2022. "Reliability prediction based on Birnbaum–Saunders model and its application to smart meter," Annals of Operations Research, Springer, vol. 312(1), pages 519-532, May.
    3. Liu, Di & Wang, Shaoping & Cui, Xiaoyu, 2022. "An artificial neural network supported Wiener process based reliability estimation method considering individual difference and measurement error," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    4. Wu, Ji-Peng & Kang, Rui & Li, Xiao-Yang, 2020. "Uncertain accelerated degradation modeling and analysis considering epistemic uncertainties in time and unit dimension," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    5. Li, Xiao-Yang & Chen, Da-Yu & Wu, Ji-Peng & Kang, Rui, 2022. "3-Dimensional general ADT modeling and analysis: Considering epistemic uncertainties in unit, time and stress dimension," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    6. Liu, Di & Wang, Shaoping, 2020. "A degradation modeling and reliability estimation method based on Wiener process and evidential variable," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    7. Zhao, Xiujie & Chen, Piao & Gaudoin, Olivier & Doyen, Laurent, 2021. "Accelerated degradation tests with inspection effects," European Journal of Operational Research, Elsevier, vol. 292(3), pages 1099-1114.
    8. Liu, Di & Wang, Shaoping & Zhang, Chao & Tomovic, Mileta, 2018. "Bayesian model averaging based reliability analysis method for monotonic degradation dataset based on inverse Gaussian process and Gamma process," Reliability Engineering and System Safety, Elsevier, vol. 180(C), pages 25-38.

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    More about this item

    Keywords

    Accelerated aging; Bayesian methods; degrada- tion; stochastic processes; uncertainty;
    All these keywords.

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