具有可变样本容量的非正态EWMA控制图

doi:10.12005/orms.2016.0223

运筹与管理 ›› 2016, Vol. 25 ›› Issue (6): 224-229.DOI: 10.12005/orms.2016.0223

具有可变样本容量的非正态EWMA控制图

薛丽

郑州航空工业管理学院管理工程学院,河南郑州 450000

收稿日期:2014-09-15 出版日期:2016-12-20
作者简介:薛丽(1981-),女,河南项城人,博士,研究方向:质量工程。
基金资助:
国家自然科学基金资助项目(U1204702,71672209,U1404702);航空科学基金资助项目(2013ZG55024);河南省教育厅科学技术重点研究项目(14A630018,17A630072)

EWMA Control Chart with Variable Sample Sizeunder Non-normal Distribution

XUE Li

School of Management Science and Engineering, Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450000, China

Received:2014-09-15 Online:2016-12-20

摘要/Abstract

摘要： 为了提高控制图的监控效率,本文研究非正态分布下,EWMA控制图的可变样本容量设计问题。首先利用Burr分布近似各种非正态分布,构造可变样本容量的非正态EWMA控制图;其次运用马尓科夫链法计算可变样本容量非正态EWMA控制图的平均运行长度;然后与传统的非正态EWMA控制图进行比较得出:当过程中出现小波动时,可变样本容量的非正态EWMA控制图能够更快地发现过程中的异常波动,具有较小的平均运行长度,其监控效率明显优于传统的非正态EWMA控制图。

关键词: 可变样本容量, Burr分布, 指数加权移动平均(EWMA)图, 马尓科夫链法

Abstract: In order to improve the monitoring efficiency of control charts, the EWMA control chart under non-normal distribution with variable sample size(VSS)is constructed in this paper; The Markov chain method is applied to calculate the average run length(ARL)of the VSS EWMA control charts. The computing results show that the VSS EWMA control chart under non-normal distribution is the more efficient in detecting shifts than the traditional EWMA control chart, and has a shorter the average run length to find the abnormal fluctuation.

Key words: variable sample size, Burr distribution, EWMA(exponential weighted moving average)chart, the Markove chain method

中图分类号:

TB114.2

薛丽. 具有可变样本容量的非正态EWMA控制图[J]. 运筹与管理, 2016, 25(6): 224-229.

XUE Li. EWMA Control Chart with Variable Sample Sizeunder Non-normal Distribution[J]. Operations Research and Management Science, 2016, 25(6): 224-229.

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具有可变样本容量的非正态EWMA控制图

EWMA Control Chart with Variable Sample Sizeunder Non-normal Distribution

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