Economic and economic-statistical designs of the T2 control charts with SVSSI sampling scheme

被引：14

作者：

Katebi, Mehdi ^{[1
]}

Seif, Asghar ^{[2
]}

Faraz, Alireza ^{[3
,4
]}

机构：

[1] Allameh Tabatabai Univ, Fac Math Sci & Comp, Dept Stat, Tehran, Iran

[2] Bu Ali Sina Univ, Dept Stat, Hamadan 5617838965, Iran

[3] Fonds Rech Sci FNRS, Brussels, Belgium

[4] Univ Appl Sci Upper Austria, Logistikum, Steyr, Austria

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2017年 / 46卷 / 20期

关键词：

Adjusted average time to signal (AATS); economic design (ED); economic statistical design (ESD); genetic algorithm (GA); Hotelling's T-2 chart; SVSSI T-2 chart; Markov chain; MAINTAIN CURRENT CONTROL; MARKOV-CHAIN APPROACH; XBAR-CHARTS; (X)OVER-BAR CHART; GENETIC ALGORITHMS; SIZE; INTERVALS; PARAMETERS; MODEL;

D O I：

10.1080/03610926.2016.1231823

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 adaptive T-2 chart with two different sampling interval and three sample sizes (SVSSI) shows a good performance in detecting small to large shifts in the process mean. This paper investigates the economic and economic statistical designs of the SVSSI T-2 charts. We use the Markov chain approach to developing the cost model proposed by Costa and Rahim (Journal of applied statistics 2001; 28: 875-885). A genetic algorithm approach is used to find the optimal solutions. Using numerical examples, we illustrate the performance of the proposed model and compare the statistical, economic, and economic statistical designs of the SVSSI T-2 chart with respect to the economic and statistical criteria. Furthermore, we compare the performance of the SVSSI T-2 chart with the other T-2 control schemes.

引用

页码：10149 / 10165

页数：17

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