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Profile optimum planning for degradation analysis
Naval Research Logistics ( IF 2.3 ) Pub Date : 2021-02-20 , DOI: 10.1002/nav.21979
Chien-Yu Peng, Ya-Shan Cheng

Degradation tests are widely used to assess the lifetime information of highly reliable products. Before conducting a degradation test, the fundamental issues in regard to decision variables are to determine how many sample sizes are needed, how long samples need to be tested, and how many measurements are taken, particularly in early experiments with limited budgets. By minimizing the approximate variance of the estimated qth quantile of the product's lifetime distribution with a cost constraint, profile optimum planning (POP) is proposed to provide a systematic solution to these decision variables under mild conditions. Based on the derived theoretical results, the use of flow charts efficiently simplifies complex optimization problems in practical applications. In addition, sensitivity analysis is studied to elucidate the effect of how the uncertainty in POP can be divided and allocated to the experimental costs and model parameters. Technical derivations, flow charts, and analysis results are available online as Supporting Information.

中文翻译:

退化分析的轮廓优化规划

退化测试被广泛用于评估高可靠性产品的寿命信息。在进行退化测试之前,与决策变量有关的基本问题是确定需要多少样本量、需要测试多长时间的样本以及进行多少次测量,尤其是在预算有限的早期实验中。通过最小化估计q的近似方差具有成本约束的产品寿命分布的第 1 个分位数,提出了轮廓优化规划 (POP),以在温和条件下为这些决策变量提供系统的解决方案。基于导出的理论结果,流程图的使用有效地简化了实际应用中复杂的优化问题。此外,还研究了敏感性分析,以阐明 POP 中的不确定性如何划分并分配给实验成本和模型参数的影响。技术推导、流程图和分析结果可作为支持信息在线获取。
更新日期:2021-02-20
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