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Shewhart and EWMA t control charts for short production runs

机译：Shewhart和EWMA t控制图用于短期生产

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Purpose: To test t-charts for implementation in short production runs to monitor the process mean and to evaluate their statistical properties. Summary: Owing to the limited number of possible inspections during a short run, often a Phase I control chart cannot be drawn for providing estimates of population mean and standard deviation. Recently, t-charts have been proposed by Zhang et al (Ref. 2) to protect against errors in standard deviation estimation errors due to limitation of available measures. The article considers measures properly designed to test chart sensitivity during short runs to compare Shewhart and EWMA t-charts. Two initial setup conditions for short run fixing the population mean exactly equal to the target, or alternatively, introducing an initial setup error influencing the statistic distribution are modeled. The numerical study considers several out-of-control process conditions including one-step shifts for mean and/or standard deviation. The results show that t-charts can be successfully implemented to monitor a short run. An illustrative example is included. (16 refs.)
机译：目的：测试t图表以在短期生产中实施，以监视过程平均值并评估其统计属性。摘要：由于短期内可能进行的检查数量有限，通常无法绘制出第一阶段控制图来提供总体平均值和标准偏差的估计值。最近，Zhang等人（参考文献2）提出了t图，以防止由于可用度量的限制而导致的标准偏差估计误差中的误差。本文考虑了适当设计的措施，以在短期内测试图表敏感性以比较Shewhart和EWMA t图表。为短期固定人口的两个初始设置条件均值等于目标，或者引入影响统计分布的初始设置误差建模。数值研究考虑了几种失控的过程条件，包括均值和/或标准偏差的一步移动。结果表明，可以成功实施t图表来监视短期运行。包括说明性示例。 （16篇）

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