A Variable Sampling Interval Synthetic Xbar Chart for the Process Mean.
The usual practice of using a control chart to monitor a process is to take samples from the process with fixed sampling interval (FSI). In this paper, a synthetic X control chart with the variable sampling interval (VSI) feature is proposed for monitoring changes in the process mean. The VSI synthe...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2015-01-01
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| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC4423939?pdf=render |
| _version_ | 1828869607355580416 |
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| author | Lei Yong Lee Michael Boon Chong Khoo Sin Yin Teh Ming Ha Lee |
| author_facet | Lei Yong Lee Michael Boon Chong Khoo Sin Yin Teh Ming Ha Lee |
| author_sort | Lei Yong Lee |
| collection | DOAJ |
| description | The usual practice of using a control chart to monitor a process is to take samples from the process with fixed sampling interval (FSI). In this paper, a synthetic X control chart with the variable sampling interval (VSI) feature is proposed for monitoring changes in the process mean. The VSI synthetic X chart integrates the VSI X chart and the VSI conforming run length (CRL) chart. The proposed VSI synthetic X chart is evaluated using the average time to signal (ATS) criterion. The optimal charting parameters of the proposed chart are obtained by minimizing the out-of-control ATS for a desired shift. Comparisons between the VSI synthetic X chart and the existing X, synthetic X, VSI X and EWMA X charts, in terms of ATS, are made. The ATS results show that the VSI synthetic X chart outperforms the other X type charts for detecting moderate and large shifts. An illustrative example is also presented to explain the application of the VSI synthetic X chart. |
| first_indexed | 2024-12-13T05:53:54Z |
| format | Article |
| id | doaj.art-22798af23d57452fa1c88c20e3df1888 |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-13T05:53:54Z |
| publishDate | 2015-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-22798af23d57452fa1c88c20e3df18882022-12-21T23:57:28ZengPublic Library of Science (PLoS)PLoS ONE1932-62032015-01-01105e012633110.1371/journal.pone.0126331A Variable Sampling Interval Synthetic Xbar Chart for the Process Mean.Lei Yong LeeMichael Boon Chong KhooSin Yin TehMing Ha LeeThe usual practice of using a control chart to monitor a process is to take samples from the process with fixed sampling interval (FSI). In this paper, a synthetic X control chart with the variable sampling interval (VSI) feature is proposed for monitoring changes in the process mean. The VSI synthetic X chart integrates the VSI X chart and the VSI conforming run length (CRL) chart. The proposed VSI synthetic X chart is evaluated using the average time to signal (ATS) criterion. The optimal charting parameters of the proposed chart are obtained by minimizing the out-of-control ATS for a desired shift. Comparisons between the VSI synthetic X chart and the existing X, synthetic X, VSI X and EWMA X charts, in terms of ATS, are made. The ATS results show that the VSI synthetic X chart outperforms the other X type charts for detecting moderate and large shifts. An illustrative example is also presented to explain the application of the VSI synthetic X chart.http://europepmc.org/articles/PMC4423939?pdf=render |
| spellingShingle | Lei Yong Lee Michael Boon Chong Khoo Sin Yin Teh Ming Ha Lee A Variable Sampling Interval Synthetic Xbar Chart for the Process Mean. PLoS ONE |
| title | A Variable Sampling Interval Synthetic Xbar Chart for the Process Mean. |
| title_full | A Variable Sampling Interval Synthetic Xbar Chart for the Process Mean. |
| title_fullStr | A Variable Sampling Interval Synthetic Xbar Chart for the Process Mean. |
| title_full_unstemmed | A Variable Sampling Interval Synthetic Xbar Chart for the Process Mean. |
| title_short | A Variable Sampling Interval Synthetic Xbar Chart for the Process Mean. |
| title_sort | variable sampling interval synthetic xbar chart for the process mean |
| url | http://europepmc.org/articles/PMC4423939?pdf=render |
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