Design and optimization of EWMA control charts for in-control, indifference, and out-of-control regions

Francisco Aparisi; J. Carlos García-Díaz

doi:10.1016/j.cor.2005.08.003

Design and optimization of EWMA control charts for in-control, indifference, and out-of-control regions

Francisco Aparisi
, J. Carlos García-Díaz

Polytechnic University of Valencia

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

The design of quality control charts is normally carried out considering a process shift size that is considered important to be detected. The EWMA control chart is one of the best available options to use when good performance is needed to detect small process shifts. This paper presents a method for design of EWMA charts for control processes, in which the detection of small shifts is not necessary, and at the same time is effective in detecting important shifts. In such cases the EWMA control chart can also be designed successfully to deal with these requirements. A Markov chain approach is also applied to determine the ARL of the modified EWMA control chart. The implementation and interpretations are provided and numerical examples are used to illustrate the application procedure. We also investigate some basic properties of the proposed scheme. Genetic algorithms have been used to carry out this design.

Original language	English
Pages (from-to)	2096-2108
Number of pages	13
Journal	Computers and Operations Research
Volume	34
Issue number	7
DOIs	https://doi.org/10.1016/j.cor.2005.08.003
State	Published - Jul 2007
Externally published	Yes

Keywords

Genetic algorithms
In-control
Indifference
Out-of-control regions
Statistical process control

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10.1016/j.cor.2005.08.003

Cite this

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title = "Design and optimization of EWMA control charts for in-control, indifference, and out-of-control regions",

abstract = "The design of quality control charts is normally carried out considering a process shift size that is considered important to be detected. The EWMA control chart is one of the best available options to use when good performance is needed to detect small process shifts. This paper presents a method for design of EWMA charts for control processes, in which the detection of small shifts is not necessary, and at the same time is effective in detecting important shifts. In such cases the EWMA control chart can also be designed successfully to deal with these requirements. A Markov chain approach is also applied to determine the ARL of the modified EWMA control chart. The implementation and interpretations are provided and numerical examples are used to illustrate the application procedure. We also investigate some basic properties of the proposed scheme. Genetic algorithms have been used to carry out this design.",

keywords = "Genetic algorithms, In-control, Indifference, Out-of-control regions, Statistical process control",

author = "Francisco Aparisi and Garc{\'i}a-D{\'i}az, \{J. Carlos\}",

note = "Funding Information: The authors acknowledge the financial support of the Ministry of Education and Science of Spain, Research Project Reference DPI2002-03537 and European FEDER funding. The authors would also like to acknowledge the helpful comments and suggestions of the anonymous reviewers. Their efforts are greatly appreciated. ",

year = "2007",

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language = "English",

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T1 - Design and optimization of EWMA control charts for in-control, indifference, and out-of-control regions

AU - Aparisi, Francisco

AU - García-Díaz, J. Carlos

N1 - Funding Information: The authors acknowledge the financial support of the Ministry of Education and Science of Spain, Research Project Reference DPI2002-03537 and European FEDER funding. The authors would also like to acknowledge the helpful comments and suggestions of the anonymous reviewers. Their efforts are greatly appreciated.

PY - 2007/7

Y1 - 2007/7

N2 - The design of quality control charts is normally carried out considering a process shift size that is considered important to be detected. The EWMA control chart is one of the best available options to use when good performance is needed to detect small process shifts. This paper presents a method for design of EWMA charts for control processes, in which the detection of small shifts is not necessary, and at the same time is effective in detecting important shifts. In such cases the EWMA control chart can also be designed successfully to deal with these requirements. A Markov chain approach is also applied to determine the ARL of the modified EWMA control chart. The implementation and interpretations are provided and numerical examples are used to illustrate the application procedure. We also investigate some basic properties of the proposed scheme. Genetic algorithms have been used to carry out this design.

AB - The design of quality control charts is normally carried out considering a process shift size that is considered important to be detected. The EWMA control chart is one of the best available options to use when good performance is needed to detect small process shifts. This paper presents a method for design of EWMA charts for control processes, in which the detection of small shifts is not necessary, and at the same time is effective in detecting important shifts. In such cases the EWMA control chart can also be designed successfully to deal with these requirements. A Markov chain approach is also applied to determine the ARL of the modified EWMA control chart. The implementation and interpretations are provided and numerical examples are used to illustrate the application procedure. We also investigate some basic properties of the proposed scheme. Genetic algorithms have been used to carry out this design.

KW - Genetic algorithms

KW - In-control

KW - Indifference

KW - Out-of-control regions

KW - Statistical process control

UR - https://www.scopus.com/pages/publications/33845340435

U2 - 10.1016/j.cor.2005.08.003

DO - 10.1016/j.cor.2005.08.003

M3 - Article

AN - SCOPUS:33845340435

SN - 0305-0548

VL - 34

SP - 2096

EP - 2108

JO - Computers and Operations Research

JF - Computers and Operations Research

IS - 7

ER -

Design and optimization of EWMA control charts for in-control, indifference, and out-of-control regions

Abstract

Keywords

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