Economic optimization of acceptance interval in conformity assessment, Part 2: Process with unknown systematic effect
Economic optimization of acceptance interval in conformity assessment, Part 2: Process with unknown systematic effect
复制标题
合格评定中验收区间的经济优化，第 2 部分：系统效应未知的过程
DOI：
10.1088/1681-7575/ac6fa2
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发表时间：
2022
期刊：
影响因子：
2.4
通讯作者：
Masayoshi Koike
中科院分区：
文献类型：
--
作者：
Katsuhiro Shirono;Hideyuki Tanaka;Masayoshi Koike
本文提出了在测量不确定度中存在系统效应分量的情况下，利用本文第一部分给出的收益表达式对合格评定中的验收区间进行优化。系统效应分量由未知偏倚引起。利用基于偏差的不确定性信息的分布，可以得到收益的分布。我们的想法是设置一个百分位的收入分布作为最大化的目标，以反映系统的影响组件在优化的接受区间。我们提供了一个方程的最佳接受间隔，可以用数值求解的负担很小。我们发现，百分位数的概率的选择是一个重要的任务，在优化。我们提出的方法，将系统的影响似乎是足够实用的应用到实际过程中。
In this paper, optimization of acceptance interval in conformity assessment using the expression of the revenue that we showed in part 1 of this study is proposed under the condition of a systematic effect component being present in the measurement uncertainty. Systematic effect components are caused by unknown biases. Using the distribution based on the uncertainty information of the bias, we can develop the distribution of the revenue. Our idea is to set a percentile of the revenue distribution as the target of the maximization to reflect the systematic effect component in the optimization of the acceptance interval. We provide an equation for the optimum acceptance interval that can be numerically solved with little burden. We found that the choice of the probability for the percentile is an essential task in the optimization. Our proposed method incorporating the systematic effect seems to be sufficiently practical to be applied to actual processes.