Optimal Design for Destructive Degradation Tests With Random Initial Degradation Values Using the Wiener Process
Optimal Design for Destructive Degradation Tests With Random Initial Degradation Values Using the Wiener Process
复制标题
DOI：
10.1109/tr.2016.2575442
复制
发表时间：
2016-06
影响因子：
5.9
通讯作者：
Xun Xiao;Z. Ye
中科院分区：
文献类型：
--
作者：
Xun Xiao;Z. Ye
研究了具有随机初始劣化值的高可靠产品的破坏性退化试验的建模、估计和优化问题。通常观察到，不同产品的降解路径从由随机变量指定的不同值开始。随机初值给产品的降级带来了额外的不确定性。针对具有随机初值的产品，建立了基于Wiener过程的退化模型。我们首先考虑没有应力加速的滴滴涕。在滴滴涕中，对降解的测量破坏了测试单元，因此，每个单元只有一种测量。推导了闭式最大似然(ML)估计量。然后，考虑了一种加速滴滴涕(ADTT)。在这些结果的基础上，我们研究了DDT和ADDT的最优设计，目标是最小化使用条件下失效时间分布估计的p个分位数的渐近方差。最优测试方案必须通过数值方法来获得。利用广义等价定理证明了方案的最优性。用实际退化数据对粘接实例进行了分析，验证了所提方法的有效性。
This study investigates modeling, estimation and optimization of destructive degradation tests (DDTs) for highly reliable products with random initial degradation values. It is common to observe that the degradation paths of distinct products start from different values specified by a random variable. The random initial value introduces additional uncertainties to the degradation of the product. In this study, Wiener-process-based degradation models are developed for products with random initial values. We first consider a DDT without stress acceleration. In a DDT, the measurement of the degradation destroys a test unit and, thus, only one measurement is available for each unit. Closed-form maximum likelihood (ML) estimators are derived. Then, an accelerated DDT (ADDT) is considered. Based on these results, we investigate optimal designs of both DDT and ADDT with the objective of minimizing the asymptotic variance of the estimated p th-quantile of the failure time distribution under use conditions. The optimal test plans have to be obtained through a numerical approach. Optimality of the plans is verified by the general equivalence theorem. An adhesive bond example with real degradation data is analyzed to show the performance of the proposed methods.