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1. Global planning of accelerated degradation tests based on exponential dispersion degradation models

   https://doi.org/10.1002/nav.21923  

   Lee, I‐Chen ; Tseng, Sheng‐Tsaing ; Hong, Yili ( July 2020 , Naval Research Logistics (NRL))

   The accelerated degradation test (ADT) is an efficient tool for assessing the lifetime information of highly reliable products. However, conducting an ADT is very expensive. Therefore, how to conduct a cost‐constrained ADT plan is a great challenging issue for reliability analysts. By taking the experimental cost into consideration, this paper proposes a semi‐analytical procedure to determine the total sample size, testing stress levels, the measurement frequencies, and the number of measurements (within a degradation path) globally under a class of exponential dispersion degradation models. The proposed method is also extended to determine the global planning of a three‐level compromise plan. The advantage of the proposed method not only provides better design insights for conducting an ADT plan, but also provides an efficient algorithm to obtain a cost‐constrained ADT plan, compared with conventional optimal plans by grid search algorithms.

    

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2. Multi-dimensional Lévy processes with Lévy copulas for multiple dependent degradation processes in lifetime analysis

   https://doi.org/10.1080/08982112.2020.1757704  

   Shi, Yu ; Feng, Qianmei ; Shu, Yin ; Xiang, Yisha ( July 2020 , Quality Engineering)
3. Multi-dimensional Lévy Processes for Multiple Dependent Degradation Processes in Lifetime Analysis

   Shi, Y ; Shu, Y ; Feng, Q. ( May 2018 , Proceedings of Industrial and Systems Engineering Research Conference)

   The analysis of multiple dependent degradation processes is a challenging research work in the reliability field, especially for complex degradation with random jumps. To integrally handle the jump uncertainties in degradation and the dependence among degradation processes, we construct multi-dimensional Lévy processes to describe multiple dependent degradation processes in engineering systems. The evolution of each degradation process can be modeled by a one-dimensional Lévy subordinator with a marginal Lévy measure, and the dependence among all dimensions can be described by Lévy copulas and the associated multiple-dimensional Lévy measure. This Lévy measure is obtained from all its one-dimensional marginal Lévy measures and the Lévy copula. We develop the Fokker-Planck equations to describe the probability density in stochastic systems. The Laplace transforms of both reliability function and lifetime moments are derived. Numerical examples are used to demonstrate our models in lifetime analysis. 

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4. Statistical Modeling of Multivariate Destructive Degradation Tests With Blocking

   https://doi.org/10.1080/00401706.2019.1668855  

   Sun, Qiuzhuang ; Ye, Zhi-Sheng ; Hong, Yili ( October 2019 , Technometrics)
5. Optimal Setting of Test Conditions and Allocation of Test Units for Accelerated Degradation Tests With Two Stress Variables

   https://doi.org/10.1109/TR.2020.2995333  

   Fang, Guanqi ; Pan, Rong ; Stufken, John ( January 2020 , IEEE Transactions on Reliability)