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Towards the implementation of a universal control chart and estimation of its average run length using a spreadsheet: an artificial neural network is employed to model the parameters in a special case

Lookup NU author(s): Dr Mike Cox


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A control chart procedure has previously been proposed (Champ et al., 1991) for which the Shewhart (X) over bar -chart, the cumulative sum chart, and the exponentially weighted moving average chart are special cases. The rapid and easy production of these charts, plus many others, is proposed using spreadsheets. In addition, far all these navel charts, the average run lengths are generated as a guide to their likely behaviour. The cumulative sum chart is widely employed in quality control and is considered in greater detail. Charts are designed to exhibit acceptable average run lengths both when the process is in and out of control. A functional technique for parameter selection for such a chart is introduced that results in target average run lengths. It employs the method of artificial neural networks to derive appropriate coefficients. This approach may be extended to any of the charts previously introduced.

Publication metadata

Author(s): Cox MAA

Publication type: Article

Publication status: Published

Journal: Journal of Applied Statistics

Year: 2001

Volume: 28

Issue: 3-4

Pages: 353-364

ISSN (print): 0266-4763

ISSN (electronic): 1360-0532

Publisher: Routledge


DOI: 10.1080/02664760120034090


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