Monitoring multinomial processes based on a weighted chi-square control chart

Q3 Engineering Gestao e Producao Pub Date : 2021-07-02 DOI:10.1590/1806-9649-2021v28e43

Achouri Ali, Emira Khedhiri, Ramzi Talmoudi, H. Taleb

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引用次数: 2

Abstract

Abstract: Interpreting an out-of-control signal is a crucial step in monitoring categorical processes. For the Chi-Square Control Chart (CSCC), an out-of control situation does not specify if it was a process deterioration or a process improvement. For this reason, a weighted chi-square statistical control chart WSCC is proposed with different weighting categories in order to enable an accelerated disclosure of a control situation after a shift due to a deterioration of quality and on the other hand, decelerate an out of control situation after a shift due to a quality improvement. Furthermore, in comparison with Marcucci’s method, the new procedure provides an accurate and easier way to interpret several signals. In other words, the WSCC allows a faster detection of an out-of control situation in the case of a quality deterioration, however, an out-of control situation is not quickly detected in the case of a quality improvement. Indeed, comparative studies have been performed to find the best control chart for each combination. Concluding remarks with comments and recommendations are given based on Average Run Length (ARL) and standard deviation run length (SDRL).

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基于加权卡方控制图的多项过程监控

摘要:解释失控信号是监测分类过程的关键步骤。在卡方控制图(CSCC)中，失控情况没有指明是工艺恶化还是工艺改进。为此，我们提出了加权卡方统计控制图WSCC，该加权卡方统计控制图具有不同的权重类别，一方面可以使由于质量恶化导致的换班后控制情况加速披露，另一方面可以使由于质量改善导致的换班后失控情况减速。此外，与Marcucci的方法相比，新方法提供了一种准确而简单的方法来解释几种信号。换句话说，在质量恶化的情况下，WSCC允许更快地检测到失控情况，然而，在质量改进的情况下，无法快速检测到失控情况。事实上，已经进行了比较研究，以找到每种组合的最佳控制图。根据平均运行长度(ARL)和标准偏差运行长度(SDRL)给出结论和建议。

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.