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>Comparison between constant-stress and step-stress accelerated life tests under a cost constraint for progressive type Ⅰ censoring
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Comparison between constant-stress and step-stress accelerated life tests under a cost constraint for progressive type Ⅰ censoring
In accelerated life testing, the products are tested under high stress conditions and the results are used to draw inferences about the product lifetime under the normal stress condition using a regression model. In this article, optimal k-level constant-stress and step-stress accelerated life tests are compared to the Rayleigh failure data under progressive Type I censoring. The objective is to quantify the advantage of using step-stress testing relative to constant-stress testing. Due to constrained resources in practice, stress durations must be determined carefully at the design stage to run an accelerated life test efficiently. The stress durations directly affect the experimental cost and the estimate precision of the parameters of interest. This article investigates the optimal stress durations based on several (T/C/D/P/R) optimality criteria under the constraint that the total experimental cost does not exceed a prespecified budget. In addition, these criteria are compared together. Under the budget constraint, these two stress loading schemes are compared. Based on the numerical results, the cost constraint reduces cost and time of the test. It is found that the T-optimal design has the lowest cost and time for the unconstrained testing in both stress loading. Finally, a real data set is analyzed for illustrative purposes.
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机译:在加速寿命测试中,产品在高应力条件下进行测试,结果用于使用回归模型在正常应力条件下对产品寿命的推断进行推断。在本文中,将最佳的K电平恒定应力和阶梯应力加速寿命测试进行比较,在渐进式I审查下的瑞利故障数据进行比较。目的是量化利用相对于恒压测试的步进应力测试的优点。由于在实践中受约束的资源,必须在设计阶段仔细确定应力持续时间,以有效地运行加速的生命测试。应力持续时间直接影响实验成本和感兴趣的参数的估算精度。本文根据实验成本总实验成本不超过预算的约束,根据多项(T / C / D / R)最优性标准来调查最佳应力持续时间。此外,这些标准将在一起进行比较。根据预算约束,比较这两个应力加载方案。基于数值结果,成本约束降低了测试的成本和时间。结果发现,T-OPTEMAL设计具有在压力负载中无约束测试的最低成本和时间。最后,分析了真实数据集以用于说明目的。
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