The combined Shewhart–EWMA sign charts

IF 2.2 3区工程技术 Q3 ENGINEERING, INDUSTRIAL

Quality and Reliability Engineering International Pub Date : 2024-07-21 DOI:10.1002/qre.3625

Mohammed Kadhim Shanshool, Shashibhushan B. Mahadik, Dadasaheb G. Godase, Michael B. C. Khoo

引用次数: 0

Abstract

The Shewhart control chart is a prominent tool for identifying the changes in process parameters that are of large magnitude, however, it has reduced ability to identify the process changes of small magnitudes. On the other hand, an exponentially weighted moving average (EWMA) control chart is superior to the Shewhart chart in identifying process changes of small magnitudes but it is less proficient than the later chart in identifying changes of large magnitudes. This paper suggests nonparametric combined Shewhart‐EWMA (CSE) charts based on the sign statistic for the process location and process dispersion. The statistical performance measures of these charts are obtained using a Markov chain approach. The numerical comparisons revealed that the performance of a CSE chart lies within the range of the Shewhart sign and EWMA sign charts for identifying a process change of any magnitude. A real‐data example is provided to illustrate the mechanism of the chart.

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合并的 Shewhart-EWMA 标志图

Shewhart 控制图是识别过程参数大幅变化的重要工具，但它识别小幅过程变化的能力较弱。另一方面，指数加权移动平均（EWMA）控制图在识别幅度较小的过程变化方面优于薛哈特控制图，但在识别幅度较大的变化方面却不如薛哈特控制图。本文提出了基于过程位置和过程分散的符号统计的非参数组合 Shewhart-EWMA (CSE) 控制图。使用马尔科夫链方法获得了这些图表的统计性能指标。数值比较显示，CSE 图表的性能在 Shewhart 符号和 EWMA 符号图表的范围内，可以识别任何程度的流程变化。我们提供了一个真实数据示例来说明图表的机制。

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

Quality and Reliability Engineering International 管理科学-工程：工业

CiteScore

4.90

自引率

21.70%

发文量

181

审稿时长

6 months

期刊介绍： Quality and Reliability Engineering International is a journal devoted to practical engineering aspects of quality and reliability. A refereed technical journal published eight times per year, it covers the development and practical application of existing theoretical methods, research and industrial practices. Articles in the journal will be concerned with case studies, tutorial-type reviews and also with applications of new or well-known theory to the solution of actual quality and reliability problems in engineering. Papers describing the use of mathematical and statistical tools to solve real life industrial problems are encouraged, provided that the emphasis is placed on practical applications and demonstrated case studies. The scope of the journal is intended to include components, physics of failure, equipment and systems from the fields of electronic, electrical, mechanical and systems engineering. The areas of communications, aerospace, automotive, railways, shipboard equipment, control engineering and consumer products are all covered by the journal. Quality and reliability of hardware as well as software are covered. Papers on software engineering and its impact on product quality and reliability are encouraged. The journal will also cover the management of quality and reliability in the engineering industry. Special issues on a variety of key topics are published every year and contribute to the enhancement of Quality and Reliability Engineering International as a major reference in its field.