Economic optimization of acceptance interval in conformity assessment, Part 1: Process with no systematic effect
Economic optimization of acceptance interval in conformity assessment, Part 1: Process with no systematic effect
复制标题
合格评定中验收区间的经济优化，第 1 部分：无系统影响的过程
DOI：
10.1088/1681-7575/ac6fa1
复制
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
在合格评定检查中，通常确定小于容许区间的验收区间，以降低消费者在市场上获得不合格品的风险。市场上出现不合格项目会损害客户对项目的评估，并可能因价格下跌而影响收益。然而，设置太小的接受间隔会减少市场上可用的项目数量，从而减少该过程的收入。因此，我们提出了一种方法来确定最佳的验收间隔合格评定的收入最大化的过程。为此，我们给出了一个数学模型的价格和生产过程中的成本。理论分析和仿真结果表明，价格模型中的一个参数是优化的关键。在本文中，我们报告了一种方法的过程中，没有系统的影响分量的测量不确定度存在，并在本系列的第2部分，我们将报告一个扩展的方法，其中系统的影响考虑。
In inspections for conformity assessment, an acceptance interval smaller than the tolerance interval is often determined in order to reduce the risk of consumers obtaining non-conforming items in the market. The presence of non-conforming items in the market impairs the evaluation of items by customers and may have an impact on revenue by decreasing prices. However, setting too small an acceptance interval reduces the revenue from the process by decreasing the number of the items available in the market. We thus propose a method to determine the optimum acceptance interval in conformity assessment by means of maximization of the revenue from processes. For this purpose, we give a mathematical model for the price of an item and its cost in the production process. Through theoretical analysis and simulations, it is shown that a parameter in the price model is the key in the optimization. In this paper we report a method for processes where no systematic effect component of measurement uncertainty exists, and in part 2 of this series we will report an extended method in which systematic effects are taken into consideration.