Title
Performance of t control charts in short runs with unknown shift sizes
Abstract
Recently, control charts plotting a statistic having a Student's t distribution have been proposed as an efficient solution to perform Statistical Process Control (SPC) in short production runs where the shift size of the in-control process mean from @m"0 to @m"1 is known a priori. The shift size is usually measured as a multiple @d of the in-control process standard deviation @s"0: but in practice, at the beginning of the production run, both the value of next shift @d and @s"0 are unknown. As a consequence, when the actual shift size differs from the value assumed at the chart design stage, the performance of the control chart can be seriously affected. To overcome this problem, this paper investigates the statistical performance of the Shewhart, EWMA and CUSUM t charts for short production runs when the shift size is unknown and modeled by means of a statistical distribution. An extensive numerical analysis allows the properties of the three charts to be compared and discussed when uniform and triangular distributions are used by quality practitioners to fit the unknown shift size. An illustrative example is utilized to demonstrate a practical implementation of the best performing among the three investigated charts.
Year
DOI
Venue
2013
10.1016/j.cie.2012.10.003
Computers & Industrial Engineering
Keywords
Field
DocType
control chart,unknown shift size,short run,production run,chart design stage,in-control process standard deviation,actual shift size,short production,next shift,shift size,in-control process mean,quality control,ewma,cusum
CUSUM,X-bar chart,EWMA chart,Control chart,Statistical process control,Chart,Engineering,Statistics,Standard deviation,Shewhart individuals control chart,Operations management
Journal
Volume
Issue
ISSN
64
1
0360-8352
Citations 
PageRank 
References 
16
1.49
9
Authors
4
Name
Order
Citations
PageRank
Giovanni Celano19212.38
Philippe Castagliola252961.65
Sergio Fichera310211.40
George Nenes4848.32