CUSUM Control Chart with Variable Sampling Intervals Under non-normal Distribution

doi:10.12005/orms.2016.0088

Operations Research and Management Science ›› 2016, Vol. 25 ›› Issue (3): 94-98.DOI: 10.12005/orms.2016.0088

• Theory Analysis and Methodology Study • Previous Articles Next Articles

CUSUM Control Chart with Variable Sampling Intervals Under non-normal Distribution

XUE Li

School of Management Engineering, Zhengzhou University of Aeronautical Industry Management, Zhengzhou, 450000, China

Received:2013-11-24 Online:2016-06-25

具有可变抽样区间的非正态累积和控制图

薛丽

郑州航空工业管理学院管理工程学院,河南郑州 450000

作者简介:薛丽(1981-),女,河南项城人,博士,副教授,研究方向:质量工程。
基金资助:
国家自然科学基金项目(U1204702, 71272207); 航空科学基金项目(2013ZG55024,2014ZG55021);河南省教育厅科学技术重点研究项目(14A630018)

Abstract

Abstract: When the process has the small shift, CUSUM control chart can find the shift faster than the traditional Shewhart control chart. In order to improve the monitoring efficiency of control chart, CUSUM control chart with variable sample intervals(VSI)for non-normal data is proposed in this paper. Firstly, VSI CUSUM control chart is developed using Burr distribution to approximate various non-normal distributions. Secondly, the Markov chain method is used to calculate the average time to signal. Finally, the computing results show that the VSI CUSUM control chart for non-normal data is more efficient in detecting shifts than the fixed sampling interval(FSI)CUSUM control chart for non-normal data.

Key words: CUSUM control chart, burr distributions, variable sampling intervals, Markov chain method, average time to signal

摘要： 当过程存在小波动时,累积和控制图比传统的休哈特控制图监控效果灵敏。为了提高控制图的监控效率,本文针对非正态情形下的累积和控制图进行可变抽样区间设计。首先用Burr分布近似各种非正态分布,构造可变抽样区间的非正态累积和控制图;其次利用马尓可夫链方法计算其平均报警时间;最后研究结果表明, 所设计的可变抽样区间非正态累积和控制图较固定抽样区间的非正态累积和控制图能更好地监控过程的变化。

关键词: 累积和控制图, Burr 分布, 可变抽样区间, 马尓可夫链方法, 平均报警时间

CLC Number:

O213.1

XUE Li. CUSUM Control Chart with Variable Sampling Intervals Under non-normal Distribution[J]. Operations Research and Management Science, 2016, 25(3): 94-98.

薛丽. 具有可变抽样区间的非正态累积和控制图[J]. 运筹与管理, 2016, 25(3): 94-98.

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CUSUM Control Chart with Variable Sampling Intervals Under non-normal Distribution

具有可变抽样区间的非正态累积和控制图

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