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Multi-objective optimization design of accelerated degradation test based on Wiener process

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Listed:
  • Xiaoping Liu
  • Bin Guo
  • Lijian Xia
  • Xiao Tian
  • Lijie Zhang

Abstract

A multi-objective optimization method for the accelerated degradation test based on Wiener process is proposed in this article in order to solve the problem that a single objective optimization cannot solve the difficulty or even conflicting test configurations caused by different optimization objective functions. An accelerated degradation model is established based on Wiener process, and the unknown parameters are solved by a two-step maximum likelihood estimation method. Considering both the accuracies of life estimation and the model parameter estimation, a multi-objective optimization model is established with the optimization goals of the minimum asymptotic variance of P-quantile of lifetime and the maximum determinant of Fisher information matrix. The Pareto solutions are set by the multi-objective genetic algorithm, and the test configurations for multi-objectives are obtained. Under the step stress accelerated degradation test and the constant stress accelerated degradation test, the effectiveness of the proposed method is verified by an optimization example of LEDs accelerated degradation test.

Suggested Citation

  • Xiaoping Liu & Bin Guo & Lijian Xia & Xiao Tian & Lijie Zhang, 2022. "Multi-objective optimization design of accelerated degradation test based on Wiener process," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(5), pages 1426-1443, March.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:5:p:1426-1443
    DOI: 10.1080/03610926.2020.1764043
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    Cited by:

    1. Xiuping Su & Linlin Wang & Zhilin Zhang & Dongyue Wang, 2024. "Residual Life Prediction of Low-Voltage Circuit Breaker Thermal Trip Based on the Wiener Process," Energies, MDPI, vol. 17(5), pages 1-15, March.

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