General control charts for attributes
作者:
HAIM SHORE,
期刊:
IIE Transactions
(Taylor Available online 2000)
卷期:
Volume 32,
issue 12
页码: 1149-1160
ISSN:0740-817X
年代: 2000
DOI:10.1080/07408170008967469
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Traditional Shewhart-type control charts ignore the skewness of the plotted statistic. Occasionally, the skewness is too large to be ignored, and in such cases the classical Shewhart chart ceases to deliver satisfactory performance. In this paper, we develop a general framework for constructing Shewhart-like control charts for attributes based on fitting a quantile function that preserves all first three moments of the plotted statistic. Furthermore, these moments enter explicitly into the formulae for calculating the limits. To enhance the accuracy of these limits the value of the skewness measure used in the calculations is inflated by 44%. This inflation rate delivers accurate control limits for diversely-shaped attribute distributions like the binomial, the Poisson, the geometric and the negative binomial. A new control chart for theM/M/Squeueing model is developed and its performance evaluated.
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