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

Statistics

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

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 (US)
Pages (from-to)	133-150
Number of pages	18
Journal	International Journal of Production Research
Volume	40
Issue number	1
DOIs	https://doi.org/10.1080/00207540110073073
State	Published - 2002

All Science Journal Classification (ASJC) codes

Strategy and Management
Management Science and Operations Research
Industrial and Manufacturing Engineering

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10.1080/00207540110073073

Cite this

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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.",

author = "Chan, {L. Y.} and Lin, {Dennis K.J.} and M. Xie and Goh, {T. N.}",

note = "Funding Information: The research was supported by the William M. W. Mong Engineering Research Fund fmrtoehUniversity of Hong Kong (academic year 18±999).9Theauts hor tnhk thae referees for helpul sfguonegs thastthelpei d to improve the paper.",

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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.

N1 - Funding Information: The research was supported by the William M. W. Mong Engineering Research Fund fmrtoehUniversity of Hong Kong (academic year 18±999).9Theauts hor tnhk thae referees for helpul sfguonegs thastthelpei d to improve the paper.

PY - 2002

Y1 - 2002

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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Cumulative probability control charts for geometric and exponential process characteristics

Abstract

All Science Journal Classification (ASJC) codes

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