论文标题
单方面的Shewhart控制图表，用于监视短生产中两个正常变量的比率
One-sided Shewhart control charts for monitoring the ratio of two normal variables in Short Production Runs
论文作者
论文摘要
监视两个正常随机变量的比率在几个制造环境中起重要作用。但是，对于短生产运行，假定无限过程的控制图无法有效地检测异常。在本文中，我们通过提出两个单方面的Shewhart型图表来解决此问题，以监视两个正常的随机变量的比率，以实现无限的地平线产生。使用截短的平均运行长度作为短期生产运行中的性能度量，研究了所提出的图表的统计性能。为了帮助质量实践者实施这些控制图，我们提供了控制限制参数的现成表。给出了食品行业的一个说明性示例供插图。
Monitoring the ratio of two normal random variables plays an important role in several manufacturing environments. For short production runs, however, the control charts assumed infinite processes cannot function effectively to detect anomalies. In this paper, we tackle this problem by proposing two one-sided Shewhart-type charts to monitor the ratio of two normal random variables for an infinite horizon production. The statistical performance of the proposed charts is investigated using the truncated average run length as a performance measure in short production runs. In order to help the quality practitioner to implement these control charts, we have provided ready-to-use tables of the control limit parameters. An illustrative example from the food industry is given for illustration.
