Title
On the conditional decision procedure for high yield processes
Abstract
Cumulative Count of Conforming (CCC) items chart has shown to be an effective tool for monitoring high yield processes. However, this chart uses a single count value to determine whether a change in a process has occurred. This makes the chart relatively insensitive to process shifts. To improve the performance of the chart, values of the previous runs or observations were incorporated into the decision rule using conditional probability. This paper investigates the performance of the modified decision rule and shows that the results obtained for the average run length are only true for the case of independent observations. An appropriate relationship for the average run length is developed and the results are compared to the modified decision rule mathematically and numerically. The results indicate that the average run length values obtained from the modified decision rule always underestimates the true values.
Year
DOI
Venue
2007
10.1016/j.cie.2007.05.005
Computers & Industrial Engineering
Keywords
Field
DocType
average run length,items chart,modified decision rule,appropriate relationship,cumulative count,previous run,cumulative count of conforming items,high yield process,decision rule,conditional expected value,geometric distribution,conditional decision procedure,conditional probability,true value,cumulant,conditional expectation
Admissible decision rule,Decision rule,Conditional variance,Conditional probability,Conditional expectation,Chart,Chain rule (probability),Geometric distribution,Statistics,Mathematics
Journal
Volume
Issue
ISSN
53
3
Computers & Industrial Engineering
Citations 
PageRank 
References 
8
2.09
0
Authors
4
Name
Order
Citations
PageRank
Rassoul Noorossana121824.73
Abbas Saghaei2417.70
Kamran Paynabar3649.88
Yaser Samimi482.09