An EWMA control chart for the mean of individual streams in multiple stream processes

Q3 Engineering

Gestao e Producao Pub Date : 2021-07-12 DOI:10.1590/1806-9649-2021v28e062

B. Simões, E. Epprecht

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引用次数: 0

Abstract

Abstract: In a multiple stream process (MSP) a product is manufactured in a number of streams in parallel. The traditional tool for monitoring MSPs, the group control chart (GCC), does not take into account that typically the value of the quality variable in each stream is the sum of a component common to all streams and an individual component, of the particular stream. This may render the GCC ineffective in detecting shifts in the mean of individual streams. Based on this two-components model, we propose an exponentially weighted moving average (EWMA) GCC to monitor the means of the individual streams components. We optimize its design (minimizing the ARL for given shifts in the mean of a stream) and compare their ARLs with the ones of other existing charts devised for two-components MSPs. For this comparison, we needed to obtain optimal designs of these previous charts too, which were not available in the literature; this is an additional contribution of our work. The ARLs of the charts were obtained by simulation, with a number of runs sufficiently large to ensure precise results. The results show that the proposed chart outperforms the previous ones, becoming thus recommended for the statistical control of MSPs.

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多流过程中单个流均值的EWMA控制图

摘要：在多流工艺（MSP）中，产品是在多个流中并行生产的。用于监测MSP的传统工具，即组控制图（GCC），没有考虑到每个流中质量变量的值通常是所有流的公共分量和特定流的单个分量的总和。这可能使GCC在检测单个流的平均值的变化方面无效。基于这一双分量模型，我们提出了一种指数加权移动平均（EWMA）GCC来监测单个流分量的均值。我们优化了它的设计（对于流的平均值的给定偏移，最小化ARL），并将它们的ARL与为两个分量MSP设计的其他现有图表的ARL进行比较。为了进行比较，我们还需要获得这些先前图表的最佳设计，而这些图表在文献中是不可用的；这是我们工作的又一贡献。图表的ARL是通过模拟获得的，运行次数足够大，以确保精确的结果。结果表明，所提出的图表优于以前的图表，因此被推荐用于MSP的统计控制。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Gestao e Producao Engineering-Industrial and Manufacturing Engineering

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

44 weeks

期刊介绍： Gestão & Produção is a journal published four times a year year (March, June, September and December) by the Departamento de Engenharia de Produção (DEP) of Universidade Federal de São Carlos (UFSCar). The first issue of Gestão & Produção was published in April, 1994. Actually, G&P was result of experience of professors of DEP/UFSCar in editing, in the beginning, "Cadernos DEP" in the 1980s, followed by "Cadernos de Engenharia de Produção". The last three issues of "Cadernos de Engenharia de Produção" were a test previous to the launch of Gestão & Produção because most of the journal characteristics were already established, like regularity.