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Time and cost constrained optimal designs of constant-stress and step-stress accelerated life tests

机译：受时间和成本约束的恒定应力和阶跃应力加速寿命测试的最佳设计

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摘要

By running life tests at higher stress levels than normal operating conditions, accelerated life testing quickly yields information on the lifetime distribution of a test unit The lifetime at the design stress is then estimated through extrapolation using a regression model. To conduct an accelerated life test efficiently with constrained resources in practice, several decision variables such as the sample allocation proportions and the stress durations should be determined carefully at the design stage. These decision variables affect not only the experimental cost but also the estimate precision of the lifetime parameters of interest. In this work, under the constraint that the total experimental cost does not exceed a pre-specified budget, the optimal decision variables are determined based on C/D/A-optimality criteria. In particular, the constant-stress and step-stress accelerated life tests are considered with the exponential failure data under time constraint as well. We illustrate the preposed methods using two real case studies, and under the identical budget constraint, the efficiencies of these two stress loading schemes are compared in terms of the ratio of optimal objective functions based on the information matrix. (C) 2015 Elsevier Ltd. All rights reserved.
机译：通过在比正常运行条件更高的应力水平下运行寿命测试，加速寿命测试可以快速得出有关测试单元寿命分布的信息。然后，使用回归模型通过外推法估算设计应力下的寿命。为了在实践中用有限的资源有效地进行加速寿命测试，应在设计阶段仔细确定几个决策变量，例如样品分配比例和应力持续时间。这些决策变量不仅影响实验成本，而且还会影响目标寿命参数的估算精度。在这项工作中，在总实验成本不超过预先指定的预算的约束下，基于C / D / A最优标准确定最佳决策变量。特别是，在时间约束下，指数失效数据也考虑了恒应力和阶跃应力加速寿命测试。我们使用两个实际案例研究说明了所提出的方法，并且在相同的预算约束下，根据基于信息矩阵的最优目标函数的比率，比较了这两种压力加载方案的效率。 （C）2015 Elsevier Ltd.保留所有权利。

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