Development Of Two New Auxiliary Information Control Charts, And Economic And Economic-Statistical Designs Of Several Auxiliary Information Control Charts
The use of auxiliary information (AI) concept in control charts is receiving increasing attention among researchers. Control charts with auxiliary characteristics have been shown to be more efficient than control charts without such characteristics. The salient feature of the AI concept has motiv...
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| Format: | Thesis |
| Language: | English |
| Published: |
2020
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| Online Access: | http://eprints.usm.my/54829/ http://eprints.usm.my/54829/1/NG%20PEH%20SANG%20-%20TESIS%20cut.pdf |
| _version_ | 1848882913652768768 |
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| author | Ng Peh, Sang |
| author_facet | Ng Peh, Sang |
| author_sort | Ng Peh, Sang |
| building | USM Institutional Repository |
| collection | Online Access |
| description | The use of auxiliary information (AI) concept in control charts is receiving
increasing attention among researchers. Control charts with auxiliary characteristics
have been shown to be more efficient than control charts without such characteristics.
The salient feature of the AI concept has motivated us to develop two new AI charts.
The first objective of this thesis is to develop the run sum X - AI (RS X - AI) chart
for monitoring the process mean. Optimal parameters computed using the optimization
algorithms developed and the step-by-step approach for constructing the optimal RS -
AI chart are provided in this thesis. The average run length (ARL) and expected
average run length (EARL) performance criteria are used to evaluate the performance
of the RS X - AI chart. Results show that the RS X - AI chart generally surpasses the
existing X - AI, synthetic X - AI and EWMA X - AI charts in the detection of outof-
control signals. The second objective of this thesis is to develop the variable
sampling interval exponentially weighted moving average t AI (VSI EWMA t - AI)
chart for monitoring the process mean when errors in estimating the process standard
deviation exist. The VSI EWMA t - AI chart allows either the short or long sampling
interval to be adopted, based on information from the process quality given by the
current plotting statistic of the chart. |
| first_indexed | 2025-11-15T18:42:28Z |
| format | Thesis |
| id | usm-54829 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T18:42:28Z |
| publishDate | 2020 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-548292022-09-20T07:16:56Z http://eprints.usm.my/54829/ Development Of Two New Auxiliary Information Control Charts, And Economic And Economic-Statistical Designs Of Several Auxiliary Information Control Charts Ng Peh, Sang QA1 Mathematics (General) The use of auxiliary information (AI) concept in control charts is receiving increasing attention among researchers. Control charts with auxiliary characteristics have been shown to be more efficient than control charts without such characteristics. The salient feature of the AI concept has motivated us to develop two new AI charts. The first objective of this thesis is to develop the run sum X - AI (RS X - AI) chart for monitoring the process mean. Optimal parameters computed using the optimization algorithms developed and the step-by-step approach for constructing the optimal RS - AI chart are provided in this thesis. The average run length (ARL) and expected average run length (EARL) performance criteria are used to evaluate the performance of the RS X - AI chart. Results show that the RS X - AI chart generally surpasses the existing X - AI, synthetic X - AI and EWMA X - AI charts in the detection of outof- control signals. The second objective of this thesis is to develop the variable sampling interval exponentially weighted moving average t AI (VSI EWMA t - AI) chart for monitoring the process mean when errors in estimating the process standard deviation exist. The VSI EWMA t - AI chart allows either the short or long sampling interval to be adopted, based on information from the process quality given by the current plotting statistic of the chart. 2020-07 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/54829/1/NG%20PEH%20SANG%20-%20TESIS%20cut.pdf Ng Peh, Sang (2020) Development Of Two New Auxiliary Information Control Charts, And Economic And Economic-Statistical Designs Of Several Auxiliary Information Control Charts. PhD thesis, Universiti Sains Malaysia. |
| spellingShingle | QA1 Mathematics (General) Ng Peh, Sang Development Of Two New Auxiliary Information Control Charts, And Economic And Economic-Statistical Designs Of Several Auxiliary Information Control Charts |
| title | Development Of Two New Auxiliary Information Control Charts, And Economic And Economic-Statistical Designs Of Several Auxiliary Information Control Charts |
| title_full | Development Of Two New Auxiliary Information Control Charts, And Economic And Economic-Statistical Designs Of Several Auxiliary Information Control Charts |
| title_fullStr | Development Of Two New Auxiliary Information Control Charts, And Economic And Economic-Statistical Designs Of Several Auxiliary Information Control Charts |
| title_full_unstemmed | Development Of Two New Auxiliary Information Control Charts, And Economic And Economic-Statistical Designs Of Several Auxiliary Information Control Charts |
| title_short | Development Of Two New Auxiliary Information Control Charts, And Economic And Economic-Statistical Designs Of Several Auxiliary Information Control Charts |
| title_sort | development of two new auxiliary information control charts, and economic and economic-statistical designs of several auxiliary information control charts |
| topic | QA1 Mathematics (General) |
| url | http://eprints.usm.my/54829/ http://eprints.usm.my/54829/1/NG%20PEH%20SANG%20-%20TESIS%20cut.pdf |