Hotelling's T2 control chart with double warning lines

被引：29

作者：

Faraz, Afireza ^{[1
]}

Parsian, Ahmad

机构：

[1] Aerosp Ind Org, Qual Management Dept, Tehran, Iran

[2] Univ Tehran, Sch Math Stat & Comp Sci, Tehran, Iran

来源：

STATISTICAL PAPERS | 2006年 / 47卷 / 04期

关键词：

Double Warning Lines Scheme; Markov chain process; multivariate T-2 control chart; multivariate; quality control; variable sampling plan;

D O I：

10.1007/s00362-006-0307-x

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Recent studies have shown that the T-2 control chart with variable sampling intervals (VSI) and/or variable sample sizes (VSS) detects process shifts faster than the traditional T-2 chart. This article extends these studies for processes that are monitored with VSI and VSS using double warning lines (T-2 - DWL). it is assumed that the length of time the process remains in control has exponential distribution. The properties of T-2 - DWL chart are obtained using Markov chains. The results show that the T-2 - DWL chart is quicker than VSI and/or VSS charts in detecting almost all shifts in the process mean.

引用

页码：569 / 593

页数：25

共 36 条

[1]

ALT FB, 1982, ASQC QUAL C T, P886

[2]

ALT FB, 1973, THESIS GEORGIA I TEC

[3] Hotelling's T-2 control chart with adaptive sample sizes [J].