The effect of process adjustment error on &Xmacr; chart design

The effect of process adjustment error on &Xmacr; chart design

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Article ID: iaor20002041
Country: United States
Volume: 46
Issue: 6
Start Page Number: 597
End Page Number: 612
Publication Date: Sep 1999
Journal: Naval Research Logistics
Authors:
Abstract:

The existing literature on economic design of &Xmacr; process control charts generally assumes perfect process adjustment, such that the process mean is returned to an exactly centered ‘in control’ state following any real or false alarm control chart signal. This paper presents a model which demonstrates the effects of imperfect process adjustment on the economically designed control chart parameters. The model demonstrates that the optimal control limit width depends fundamentally on the precision with which the process can be adjusted. The greater the process adjustment error, all else constant, the wider will be the optimal control limits, in order to alleviate the potential for process overcontrol and tampering effects. By endogenously modeling these effects, the new model helps to rectify the problem of poor statistical properties for which the economic design approach has been criticized.

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