Optimization design of control charts based on minimax decision criterion and fuzzy process shifts

被引：11

作者：

Chen, Yan-Kwang ^{[1
]}

Chang, Hsu-Hwa ^{[2
]}

Chiu, Fei-Rung ^{[3
]}

机构：

[1] Natl Taiwan Inst Technol, Dept Logist Engn & Management, Taichung, Taiwan

[2] Natl Taipei Coll Business, Dept Business Adm, Taipei, Taiwan

[3] Natl Changhua Univ Educ, Dept Ind Educ & Technol, Changhua, Taiwan

来源：

EXPERT SYSTEMS WITH APPLICATIONS | 2008年 / 35卷 / 1-2期

关键词：

control chart; imprecision; simulation based genetic algorithm; minimax decision criterion;

D O I：

10.1016/j.eswa.2007.06.003

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper presents a novel procedure for optimally designing the control chart with vagueness in process shift. This procedure treats the process shift as a fuzzy number with a given membership function, and takes a range of values from the fuzzy cut set for possible shifts to implement the chart design. Taking multiple shifts into account, the design parameters of control charts are optimally determined according to the minimax decision criterion: (1) approximating the maximum cost each potential design may suffer by means of simulation techniques; and (2) using genetic algorithm as a search tool to find the optimum design that minimizes the maximum cost. An industrial example is provided to illustrate this procedure and how to set its operative condition. Sensitivity analysis is then carried out to investigate the effect of model parameters oil the optimum design. (C) 2007 Published by Elsevier Ltd.

引用

页码：207 / 213

页数：7

共 14 条

[1] THE ECONOMIC DESIGN OF XBAR CHARTS USED TO MAINTAIN CURRENT CONTROL OF A PROCESS [J].

DUNCAN, AJ .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1956, 51 (274) :228-242

[2]

Goldberg D.E, 1989, GENETIC ALGORITHMS S

[3]

Hiller F. S., 2001, INTRO OPERATIONS RES

[4] ECONOMIC DESIGN OF CONTROL CHARTS - A LITERATURE-REVIEW FOR 1981-1991 [J].

HO, CC ;

CASE, KE .

JOURNAL OF QUALITY TECHNOLOGY, 1994, 26 (01) :39-53

[5] Economic modeling for statistical process control [J].

Keats, JB ;

DelCastillo, E ;

VonCollani, E ;

Saniga, EM .

JOURNAL OF QUALITY TECHNOLOGY, 1997, 29 (02) :144-147

[6]

Klir G. J., 1997, FUZZY SET THEORY FDN

[7] Robust economic control chart design [J].

Linderman, K ;

Choo, AS .

IIE TRANSACTIONS, 2002, 34 (12) :1069-1078

[8] ECONOMIC DESIGN OF AN XBAR CONTROL CHART [J].

MONTGOMERY, DC .

JOURNAL OF QUALITY TECHNOLOGY, 1982, 14 (01) :40-43

[9] OPTIMAL ECONOMIC DESIGN OF X-CONTROL CHARTS WHEN COST MODEL PARAMETERS ARE NOT PRECISELY KNOWN [J].

PIGNATIELLO, JJ ;

TSAI, A .

IIE TRANSACTIONS, 1988, 20 (01) :103-110

[10] ECONOMIC STATISTICAL CONTROL-CHART DESIGNS WITH AN APPLICATION TO X AND R CHARTS [J].

SANIGA, EM .

TECHNOMETRICS, 1989, 31 (03) :313-320

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