An accelerated life test of a product or material consists of the observation of its failure time when it is subjected to conditions that stress the usual ones. The purpose is to obtain the parameters of the distribution of the time-to-failure for usual conditions through the observed failure times. A widely used method to provoke an early failure in a mechanism is to modify the temperature at which it is used. In this paper, the statistically optimal plan for Accelerated Failure Time (AFT) models, when the accelerated failure process is described making use of Arrhenius or Eyring equations, was calculated. The result was a design that had only two stress levels, as is common in other AFT models and that is not always practical. A new compromise plan was presented as an alternative to the widely used “4:2:1 plan”. The three-point mixture design proposed specified a support point in the interval that was optimal for the estimation of the parameters in AFT models, rather than simply the middle point. It was studied in comparison to different commonly used designs, and it proved to have a higher D-efficiency than the others.

中文翻译：

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以温度为加速度因子的加速失效时间模型的折衷设计新方案

产品或材料的加速寿命测试包括观察其在承受普通应力的条件下的失效时间。目的是通过观察到的失效时间来获得通常情况下失效时间分布的参数。引起机构早期故障的一种广泛使用的方法是修改其使用温度。在本文中，当使用Arrhenius或Eyring方程描述加速故障过程时，计算了加速故障时间（AFT）模型的统计最优计划。结果是设计只有两个应力水平，这在其他AFT模型中很常见，而且并不总是实用的。提出了新的折衷计划，以替代广泛使用的“ 4：2：1计划”。提出的三点混合设计指定了一个间隔，该间隔对于AFT模型中参数的估计是最佳的，而不是简单的中间点。与不同的常用设计相比，它进行了研究，事实证明它具有更高的D效率。