An Expected Average Run Length (EARL) Performance Comparison of the SSGR and EWMA Control Charts

IF 0.4 Q4 ENGINEERING, MULTIDISCIPLINARY

International Journal of Integrated Engineering Pub Date : 2023-10-19 DOI:10.30880/ijie.2023.15.05.005

H. W. You, Z.L. Chong, W. L. Teoh, M.B.C. Khoo, W.C. Yeong

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引用次数: 0

Abstract

The acceleration use of control charts in industrial processes has led to the effectiveness in their evaluation by quality practitioners. This is crucial, as it influences their decisions on the choice of which control charts to employ. This study aims to explore and compare the performance of the side sensitive group runs (SSGR) and exponentially weighted moving average (EWMA) control charts. In general, the average run length (ARL) characteristics were used to evaluate the performance of these control charts. The ARL, which considers the exact shift size in the process, is restricted in the case when the practitioner cannot identify the process shift size (unknown shift size). In this situation, the expected average run length (EARL) is an alternative performance criterion. Upon comparison of the findings obtained, the EWMA chart has superior performance when (δmin, δmax) = (0.1, 0.4). In contrast, the SSGR chart overtakes the EWMA chart when (δmin, δmax) = (0.5, 0.8) and (δmin, δmax) = (0.9, 1.2), except when the sample size n = 3 for (δmin, δmax) = (0.5, 0.8). For this particular combination, the EWMA chart performs slightly better than the SSGR chart. The outcome of this study is expected to contribute to practitioners in identifying suitable control charts in process monitoring and implementation.

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期望平均运行长度(EARL)的SSGR和EWMA控制图性能比较

控制图在工业过程中的加速使用已经导致了质量从业人员对其评估的有效性。这是至关重要的，因为这会影响他们选择使用哪种控制图的决定。本研究旨在探讨和比较侧敏感组运行(SSGR)和指数加权移动平均(EWMA)控制图的性能。一般来说，平均运行长度(ARL)特征被用来评估这些控制图的性能。ARL考虑过程中确切的移位大小，在从业者无法识别过程移位大小(未知移位大小)的情况下受到限制。在这种情况下，预期平均运行长度(EARL)是一个可选的性能标准。结果表明，当(δmin， δmax) =(0.1, 0.4)时，EWMA图具有更好的性能。相反，当(δmin， δmax) =(0.5, 0.8)和(δmin， δmax) =(0.9, 1.2)时，SSGR图超越EWMA图，但当(δmin， δmax) =(0.5, 0.8)的样本量n = 3时除外。对于这种特殊的组合，EWMA图表的表现略好于SSGR图表。本研究的结果预期将有助于从业者在过程监控和实施中识别合适的控制图。

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

International Journal of Integrated Engineering ENGINEERING, MULTIDISCIPLINARY-

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： The International Journal of Integrated Engineering (IJIE) is a single blind peer reviewed journal which publishes 3 times a year since 2009. The journal is dedicated to various issues focusing on 3 different fields which are:- Civil and Environmental Engineering. Original contributions for civil and environmental engineering related practices will be publishing under this category and as the nucleus of the journal contents. The journal publishes a wide range of research and application papers which describe laboratory and numerical investigations or report on full scale projects. Electrical and Electronic Engineering. It stands as a international medium for the publication of original papers concerned with the electrical and electronic engineering. The journal aims to present to the international community important results of work in this field, whether in the form of research, development, application or design. Mechanical, Materials and Manufacturing Engineering. It is a platform for the publication and dissemination of original work which contributes to the understanding of the main disciplines underpinning the mechanical, materials and manufacturing engineering. Original contributions giving insight into engineering practices related to mechanical, materials and manufacturing engineering form the core of the journal contents.