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Optimal step-stress accelerated degradation test plans for inverse Gaussian process based on proportional degradation rate model

机译:基于比例退化率模型的高斯逆过程的最优分步应力加速退化测试计划

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The purpose of this paper is to address the optimal design of the step-stress accelerated degradation test (SSADT) issue when the degradation process of a product follows the inverse Gaussian (IG) process. For this design problem, an important task is to construct a link model to connect the degradation magnitudes at different stress levels. In this paper, a proportional degradation rate model is proposed to link the degradation paths of the SSADT with stress levels, in which the average degradation rate is proportional to an exponential function of the stress level. Two optimization problems about the asymptotic variances of the lifetime characteristics' estimators are investigated. The optimal settings including sample size, measurement frequency and the number of measurements for each stress level are determined by minimizing the two objective functions within a given budget constraint. As an example, the sliding metal wear data are used to illustrate the proposed model.
机译:本文的目的是解决当产品的降解过程遵循逆高斯(IG)过程时,逐步应力加速降解试验(SSADT)问题的最佳设计。对于这个设计问题,一个重要的任务是构建一个链接模型,以连接不同应力水平下的退化幅度。在本文中,提出了比例退化率模型,以将SSADT的退化路径与应力水平联系起来,其中平均退化率与应力水平的指数函数成比例。研究了关于寿命特征估计量的渐近方差的两个优化问题。最佳设置包括样本大小,测量频率和每种应力水平的测量次数,是通过在给定的预算约束内最小化两个目标函数来确定的。例如,滑动金属磨损数据用于说明所提出的模型。

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