监控不合格品率的MEWMA-p 控制图设计

doi:10.3969/j.issn.1007-7375.2023.01.015

工业工程 ›› 2023, Vol. 26 ›› Issue (1): 130-135,181.doi: 10.3969/j.issn.1007-7375.2023.01.015

监控不合格品率的MEWMA-p 控制图设计

朱永忠, 丁辉

河海大学理学院，江苏南京 211100

收稿日期:2022-01-23 发布日期:2023-03-09
作者简介:朱永忠(1968—)，男，江西省人，教授，博士，主要研究方向为概率论与数理统计
基金资助:
国家自然科学基金资助项目 (11771120)

MEWMA-p Chart to Monitor Percent Defective

ZHU Yongzhong, DING Hui

College of Science, Hohai University, Nanjing 211100, China

Received:2022-01-23 Published:2023-03-09

摘要/Abstract

摘要： 传统Shewhart-p控制图只对单一属性的不合格品率进行监控，在过程发生偏移时有一定的滞后性。为提高不合格品率控制图的精度，提出一种多元指数加权移动平均不合格品率 (multivariate exponentially weighted moving average p, MEWMA-p)控制图。该控制图将多个属性的不合格品率应用于多元指数加权移动平均控制图，可同时对多个属性进行监控，并且对于小范围的偏移更加敏感。对比分析同等偏移程度下指数加权移动平均不合格品率 (exponentially weighted moving average p, EWMA-p) 控制图与MEWMA-p控制图的平均运行长度 (average run length, ARL) 结果，并通过模拟仿真说明该方法的有效性。

关键词: 休哈特不合格品率控制图, 多元指数加权移动平均控制图, 平均运行长度

Abstract: The traditional Shewhart-p control chart only monitors the percent defective of a single property and has a certain lag in the process offset. A multivariate exponentially weighted moving average p (MEWMA-p) control chart is proposed to improve the accuracy of the percent defective control chart. The control chart applies the percent defective of multiple properties to the multivariate exponentially weighted moving average (MEWMA) control chart, which can monitor multiple properties at the same time and is more sensitive to small ranges of shift. The average run length (ARL) table of exponentially weighted moving average p (EWMA-p) control chart and MEWMA-p control chart is studied and compared at the same offset degree, and the validity of this method is verified by simulation.

Key words: Shewhart-p control chart, multivariate exponentially weighted moving average control chart, average run length

中图分类号:

O212

朱永忠, 丁辉. 监控不合格品率的MEWMA-p 控制图设计[J]. 工业工程, 2023, 26(1): 130-135,181.

ZHU Yongzhong, DING Hui. MEWMA-p Chart to Monitor Percent Defective[J]. Industrial Engineering Journal, 2023, 26(1): 130-135,181.

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监控不合格品率的MEWMA-p 控制图设计

MEWMA-p Chart to Monitor Percent Defective

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