Cumulative probability control charts for geometric and exponential process characteristics

L. Y. Chan; Dennis K.J. Lin; M. Xie; T. N. Goh

doi:10.1080/00207540110073073

Cumulative probability control charts for geometric and exponential process characteristics

L. Y. Chan, Dennis K.J. Lin, M. Xie, T. N. Goh

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

42 Citations (Scopus)

Abstract

A statistical process control chart called the cumulative probability control chart (CPC-chart) is proposed. The CPC-chart is motivated from two existing statistical control charts, the cumulative count control chart (CCC-chart) and the cumulative quantity control chart (CQC-chart). The CCC- and CQC-charts are effective in monitoring production processes when the defect rate is low and the traditional p- and c-charts do not perform well. In a CPC-chart, the cumulative probability of the geometric or exponential random variable is plotted against the sample number, and hence the actual cumulative probability is indicated on the charts, Apart from maintaining all the favorable features of the CCC- and CQC-charts, the CPC-chart is more flexible and it can resolve a technical plotting inconvenience of the CCC- and CQC-charts.

Original language	English
Pages (from-to)	133-150
Journal	International Journal of Production Research
Volume	40
Issue number	1
DOIs	https://doi.org/10.1080/00207540110073073
Publication status	Published - 10 Jan 2002
Externally published	Yes

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title = "Cumulative probability control charts for geometric and exponential process characteristics",

abstract = "A statistical process control chart called the cumulative probability control chart (CPC-chart) is proposed. The CPC-chart is motivated from two existing statistical control charts, the cumulative count control chart (CCC-chart) and the cumulative quantity control chart (CQC-chart). The CCC- and CQC-charts are effective in monitoring production processes when the defect rate is low and the traditional p- and c-charts do not perform well. In a CPC-chart, the cumulative probability of the geometric or exponential random variable is plotted against the sample number, and hence the actual cumulative probability is indicated on the charts, Apart from maintaining all the favorable features of the CCC- and CQC-charts, the CPC-chart is more flexible and it can resolve a technical plotting inconvenience of the CCC- and CQC-charts.",

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T1 - Cumulative probability control charts for geometric and exponential process characteristics

AU - Chan, L. Y.

AU - Lin, Dennis K.J.

AU - Xie, M.

AU - Goh, T. N.

PY - 2002/1/10

Y1 - 2002/1/10

N2 - A statistical process control chart called the cumulative probability control chart (CPC-chart) is proposed. The CPC-chart is motivated from two existing statistical control charts, the cumulative count control chart (CCC-chart) and the cumulative quantity control chart (CQC-chart). The CCC- and CQC-charts are effective in monitoring production processes when the defect rate is low and the traditional p- and c-charts do not perform well. In a CPC-chart, the cumulative probability of the geometric or exponential random variable is plotted against the sample number, and hence the actual cumulative probability is indicated on the charts, Apart from maintaining all the favorable features of the CCC- and CQC-charts, the CPC-chart is more flexible and it can resolve a technical plotting inconvenience of the CCC- and CQC-charts.

AB - A statistical process control chart called the cumulative probability control chart (CPC-chart) is proposed. The CPC-chart is motivated from two existing statistical control charts, the cumulative count control chart (CCC-chart) and the cumulative quantity control chart (CQC-chart). The CCC- and CQC-charts are effective in monitoring production processes when the defect rate is low and the traditional p- and c-charts do not perform well. In a CPC-chart, the cumulative probability of the geometric or exponential random variable is plotted against the sample number, and hence the actual cumulative probability is indicated on the charts, Apart from maintaining all the favorable features of the CCC- and CQC-charts, the CPC-chart is more flexible and it can resolve a technical plotting inconvenience of the CCC- and CQC-charts.

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JF - International Journal of Production Research

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Cumulative probability control charts for geometric and exponential process characteristics

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