Premium
Joint ― X and R Charts with Two‐stage Samplings
Author(s) -
Costa Antonio F. B.,
Rahim M. A.
Publication year - 2004
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.578
Subject(s) - joint (building) , control chart , stage (stratigraphy) , sampling (signal processing) , statistics , x bar chart , \bar x and r chart , mathematics , sample (material) , sample size determination , process (computing) , control limits , computer science , engineering , geology , chromatography , structural engineering , chemistry , paleontology , filter (signal processing) , computer vision , operating system
When joint ― X and R charts are in use, samples of fixed size are regularly taken from the process, and their means and ranges are plotted on the ― X and R charts, respectively. In this article, joint ― X and R charts have been used for monitoring continuous production processes. The sampling is performed, in two stages. During the first stage, one item of the sample is inspected and, depending on the result, the sampling is interrupted if the process is found to be in control; otherwise, it goes on to the second stage, where the remaining sample items are inspected. The two‐stage sampling procedure speeds up the detection of process disturbances. The proposed joint ― X and R charts are easier to administer and are more efficient than the joint ― X and R charts with variable sample size where the quality characteristic of interest can be evaluated either by attribute or variable. Copyright © 2004 John Wiley & Sons, Ltd.