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Optimal design of constant-stress accelerated degradation tests using the M-optimality criterion

机译：使用M最优准则的恒应力加速降解试验的优化设计

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摘要

In this paper, we propose the M-optimality criterion for designing constant-stress accelerated degradation tests (ADTs). The newly proposed criterion concentrates on the degradation mechanism equivalence rather than evaluation precision or prediction accuracy which is usually considered in traditional optimization criteria. Subject to the constraints of total sample number, test termination time as well as the stress region, an optimum constant-stress ADT plan is derived by determining the combination of stress levels and the number of samples allocated to each stress level, when the degradation path comes from inverse Gaussian (IG) process model with covariates and random effects. A numerical example is presented to verify the robustness of our proposed optimum plan and compare its efficiency with other test plans. Results show that, with a slightly relaxed requirement of evaluation precision and prediction accuracy, our proposed optimum plan reduces the dispersion of the estimated acceleration factor between the usage stress level and a higher accelerated stress level, which makes an important contribution to reliability demonstration and assessment tests.
机译：在本文中，我们提出了用于设计恒应力加速退化测试（ADT）的M优化准则。新提出的标准侧重于退化机制的等效性，而不是通常在传统优化标准中考虑的评估精度或预测精度。受到总样本数，测试终止时间以及应力区域的约束，当降解路径下降时，通过确定应力水平和分配给每个应力水平的样品数量的组合，得出最佳恒应力ADT计划来自具有协变量和随机效应的逆高斯（IG）过程模型。给出了一个数值示例，以验证我们提出的最佳计划的鲁棒性，并将其效率与其他测试计划进行比较。结果表明，在对评估精度和预测精度稍有放松的要求下，我们提出的最佳计划减少了估计的加速因子在使用应力水平和较高的加速应力水平之间的分散，这对可靠性证明和评估做出了重要贡献测试。

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