Method for Deriving Integral Equations Useful in Control Chart Performance Analysis
Nonlinear Analysis: Theory, Methods & Applications
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.
Champ, Charles W., Steven E. Rigdon, Kenneth Adam Scharnagl.
"Method for Deriving Integral Equations Useful in Control Chart Performance Analysis."
Nonlinear Analysis: Theory, Methods & Applications, 47 (3): 2089-2101.