Premium
A comparison of formulas for the design of cumulative sum control charts
Author(s) -
Cox M. A. A.
Publication year - 2009
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.1002
Subject(s) - control chart , statistics , mathematics , chart , scaling , control (management) , computer science , geometry , process (computing) , artificial intelligence , operating system
A conventional cumulative sum control chart has a V‐mask where each arm makes an angle θ with the horizontal and has a lead distance d. These parameters are usually related to h (=dA tan(ϑ), A is a scaling factor) and k(=A tan(ϑ)). Two systems of formulas are examined for deriving h and k for selected values of the in control and out of control average run lengths. This is the first time an exhaustive comparison has been made. Copyright © 2009 John Wiley & Sons, Ltd.