Optimal Step-Stress Accelerated Degradation Test Plan for Gamma Degradation Processes
Optimal Step-Stress Accelerated Degradation Test Plan for Gamma Degradation Processes
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DOI：
10.1109/tr.2009.2033734
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发表时间：
2009-11
影响因子：
5.9
通讯作者：
S. Tseng;N. Balakrishnan;Chih-Chun Tsai
中科院分区：
文献类型：
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作者：
S. Tseng;N. Balakrishnan;Chih-Chun Tsai
步进应力加速退化试验（SSADT）是在可供试验项目很少的情况下评估高可靠产品（在典型使用条件下）寿命分布的一种有用工具。最近，一个最佳的SSADT计划提出的基础上的假设，潜在的退化路径遵循维纳过程。然而，许多材料的退化模型（特别是在疲劳数据的情况下）可以更适当地通过表现出单调增加模式的伽马过程来建模。因此，在实践中，设计一个有效的SSADT计划的伽马降解过程是非常感兴趣的。在本文中，我们首先介绍了SSADT模型的退化路径遵循伽马过程。其次，在实验总成本不超过预定预算的约束下，通过最小化产品寿命分布估计MTTF的近似方差，得到了样本量、测量频率和终止时间等参数的最优设置.最后，给出了一个例子来说明所提出的方法。
Step-stress accelerated degradation testing (SSADT) is a useful tool for assessing the lifetime distribution of highly reliable products (under a typical-use condition) when the available test items are very few. Recently, an optimal SSADT plan was proposed based on the assumption that the underlying degradation path follows a Wiener process. However, the degradation model of many materials (especially in the case of fatigue data) may be more appropriately modeled by a gamma process which exhibits a monotone increasing pattern. Hence, in practice, designing an efficient SSADT plan for a gamma degradation process is of great interest. In this paper, we first introduce the SSADT model when the degradation path follows a gamma process. Next, under the constraint that the total experimental cost does not exceed a pre-specified budget, the optimal settings such as sample size, measurement frequency, and termination time are obtained by minimizing the approximate variance of the estimated MTTF of the lifetime distribution of the product. Finally, an example is presented to illustrate the proposed method.