A method for deriving integral equations useful in control chart performance analysis

Charles W. Champ; Steven E. Rigdon; Kenneth Adam Scharnagl

doi:10.1016/s0362-546x(01)00335-2

A method for deriving integral equations useful in control chart performance analysis

Charles W. Champ, Steven E. Rigdon, Kenneth Adam Scharnagl

Mathematical Sciences

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

Abstract

Various charting procedures have been recommended for use in monitoring one or more quality characteristics of a repetitive production process. The performance of these charts is often assessed by looking at one or more parameters of the run length distribution. For some charts an integral equation approach can be used to determine the run length parameters. A method is illustrated for deriving these integral equations which include some well known as well as some lesser known integral equations.

Original language	American English
Pages (from-to)	2089-2101
Number of pages	13
Journal	Nonlinear Analysis: Theory, Methods & Applications
Volume	47
Issue number	3
DOIs	https://doi.org/10.1016/s0362-546x(01)00335-2
State	Published - Aug 1 2001

Scopus Subject Areas

Analysis
Applied Mathematics

Keywords

Average run length
CUSUM
Control chart
Cumulative sum
Integral equation

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10.1016/s0362-546x(01)00335-2

https://doi.org/10.1016/S0362-546X(01)00335-2

Cite this

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title = "A method for deriving integral equations useful in control chart performance analysis",

abstract = "Various charting procedures have been recommended for use in monitoring one or more quality characteristics of a repetitive production process. The performance of these charts is often assessed by looking at one or more parameters of the run length distribution. For some charts an integral equation approach can be used to determine the run length parameters. A method is illustrated for deriving these integral equations which include some well known as well as some lesser known integral equations.",

keywords = "Average run length, CUSUM, Control chart, Cumulative sum, Integral equation",

author = "Champ, {Charles W.} and Rigdon, {Steven E.} and Scharnagl, {Kenneth Adam}",

year = "2001",

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journal = "Nonlinear Analysis: Theory, Methods & Applications",

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T1 - A method for deriving integral equations useful in control chart performance analysis

AU - Champ, Charles W.

AU - Rigdon, Steven E.

AU - Scharnagl, Kenneth Adam

PY - 2001/8/1

Y1 - 2001/8/1

N2 - Various charting procedures have been recommended for use in monitoring one or more quality characteristics of a repetitive production process. The performance of these charts is often assessed by looking at one or more parameters of the run length distribution. For some charts an integral equation approach can be used to determine the run length parameters. A method is illustrated for deriving these integral equations which include some well known as well as some lesser known integral equations.

AB - Various charting procedures have been recommended for use in monitoring one or more quality characteristics of a repetitive production process. The performance of these charts is often assessed by looking at one or more parameters of the run length distribution. For some charts an integral equation approach can be used to determine the run length parameters. A method is illustrated for deriving these integral equations which include some well known as well as some lesser known integral equations.

KW - Average run length

KW - CUSUM

KW - Control chart

KW - Cumulative sum

KW - Integral equation

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/502

UR - https://doi.org/10.1016/S0362-546X(01)00335-2

U2 - 10.1016/s0362-546x(01)00335-2

DO - 10.1016/s0362-546x(01)00335-2

M3 - Conference article

VL - 47

SP - 2089

EP - 2101

JO - Nonlinear Analysis: Theory, Methods & Applications

JF - Nonlinear Analysis: Theory, Methods & Applications

IS - 3

ER -

A method for deriving integral equations useful in control chart performance analysis

Abstract

Scopus Subject Areas

Keywords

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