Title
An Exact Method For Designing Shewhart X And S2 Control Charts To Guarantee In-Control Performance
Abstract
The in-control performance of Shewhart and S-2 control charts with estimated in-control parameters has been evaluated by a number of authors. Results indicate that an unrealistically large amount of Phase I data is needed to have the desired in-control average run length (ARL) value in Phase II. To overcome this problem, it has been recommended that the control limits be adjusted based on a bootstrap method to guarantee that the in-control ARL is at least a specified value with a certain specified probability. In this article we present simple formulas using the assumption of normality to compute the control limits and therefore, users do not have to use the bootstrap method. The advantage of our proposed method is in its simplicity for users; additionally, the control chart constants do not depend on the Phase I sample data.
Year
DOI
Venue
2018
10.1080/00207543.2017.1384580
INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH
Keywords
DocType
Volume
quality control, control charts, statistical process control (SPC), adjusted control limits, expected value of the run length, average run length (ARL)
Journal
56
Issue
ISSN
Citations 
7
0020-7543
1
PageRank 
References 
Authors
0.38
3
3
Name
Order
Citations
PageRank
Alireza Faraz1598.74
cedric heuchenne283.04
Erwin Saniga3385.80