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

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 › 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
Journal	Nonlinear Analysis: Theory, Methods & Applications
Volume	47
DOIs	https://doi.org/10.1016/S0362-546X(01)00335-2
State	Published - Aug 1 2001

Keywords

Control Chart
Integral Equations
Performance Analysis

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Education
Mathematics

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title = "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 = "Control Chart, Integral Equations, Performance Analysis",

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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AU - Rigdon, Steven E.

AU - Scharnagl, Kenneth Adam

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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 - Control Chart

KW - Integral Equations

KW - Performance Analysis

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 - Article

VL - 47

JO - Nonlinear Analysis: Theory, Methods & Applications

JF - Nonlinear Analysis: Theory, Methods & Applications

ER -

Method for Deriving Integral Equations Useful in Control Chart Performance Analysis

Abstract

Keywords

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