EXACT RUN LENGTH DISTRIBUTION OF THE DOUBLE SAMPLING X CHART WITH ESTIMATED PROCESS PARAMETERS
Since the run length distribution is generally highly skewed, a significant concern about focusing too much on the average run length (ARL) criterion is that we may miss some crucial information about a control chart’s performance. Thus it is important to investigate the entire run length distributi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Stellenbosch University
2016
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| Subjects: | |
| Online Access: | http://eprints.usm.my/36940/1/%28EXACT_RUN_LENGTH_DISTRIBUTION%29_978-5080-1-PB.pdf |
| _version_ | 1825833565859872768 |
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| author | Teoh, W. L. Fun, M. S. Teh, S. Y. Khoo, Michael B. C. Yeong, W. C. |
| author_facet | Teoh, W. L. Fun, M. S. Teh, S. Y. Khoo, Michael B. C. Yeong, W. C. |
| author_sort | Teoh, W. L. |
| collection | USM |
| description | Since the run length distribution is generally highly skewed, a significant concern about focusing too much on the average run length (ARL) criterion is that we may miss some crucial information about a control chart’s performance. Thus it is important to investigate the entire run length distribution of a control chart for an in-depth understanding before implementing the chart in process monitoring. In this paper, the percentiles of the run length distribution for the double sampling (DS) X chart with estimated process parameters are computed. Knowledge of the percentiles of the run length distribution provides a more comprehensive understanding of the expected behaviour of the run length. This additional information includes the early false alarm, the skewness of the run length distribution, and the median run length (MRL). A comparison of the run length distribution between the optimal ARL-based and MRL-based DS X chart with estimated process parameters is presented in this paper. Examples of applications are given to aid practitioners to select the best design scheme of the DS X chart with estimated process parameters, based on their specific purpose. |
| first_indexed | 2024-03-06T15:09:44Z |
| format | Article |
| id | usm.eprints-36940 |
| institution | Universiti Sains Malaysia |
| language | English |
| last_indexed | 2024-03-06T15:09:44Z |
| publishDate | 2016 |
| publisher | Stellenbosch University |
| record_format | dspace |
| spelling | usm.eprints-369402017-10-05T03:55:46Z http://eprints.usm.my/36940/ EXACT RUN LENGTH DISTRIBUTION OF THE DOUBLE SAMPLING X CHART WITH ESTIMATED PROCESS PARAMETERS Teoh, W. L. Fun, M. S. Teh, S. Y. Khoo, Michael B. C. Yeong, W. C. HD28-70 Management. Industrial Management QA1-939 Mathematics Since the run length distribution is generally highly skewed, a significant concern about focusing too much on the average run length (ARL) criterion is that we may miss some crucial information about a control chart’s performance. Thus it is important to investigate the entire run length distribution of a control chart for an in-depth understanding before implementing the chart in process monitoring. In this paper, the percentiles of the run length distribution for the double sampling (DS) X chart with estimated process parameters are computed. Knowledge of the percentiles of the run length distribution provides a more comprehensive understanding of the expected behaviour of the run length. This additional information includes the early false alarm, the skewness of the run length distribution, and the median run length (MRL). A comparison of the run length distribution between the optimal ARL-based and MRL-based DS X chart with estimated process parameters is presented in this paper. Examples of applications are given to aid practitioners to select the best design scheme of the DS X chart with estimated process parameters, based on their specific purpose. Stellenbosch University 2016-05 Article PeerReviewed application/pdf en http://eprints.usm.my/36940/1/%28EXACT_RUN_LENGTH_DISTRIBUTION%29_978-5080-1-PB.pdf Teoh, W. L. and Fun, M. S. and Teh, S. Y. and Khoo, Michael B. C. and Yeong, W. C. (2016) EXACT RUN LENGTH DISTRIBUTION OF THE DOUBLE SAMPLING X CHART WITH ESTIMATED PROCESS PARAMETERS. South African Journal of Industrial Engineering, 27 (1). pp. 20-31. ISSN 1012-277X http://www.scielo.org.za/pdf/sajie/v27n1/03.pdf |
| spellingShingle | HD28-70 Management. Industrial Management QA1-939 Mathematics Teoh, W. L. Fun, M. S. Teh, S. Y. Khoo, Michael B. C. Yeong, W. C. EXACT RUN LENGTH DISTRIBUTION OF THE DOUBLE SAMPLING X CHART WITH ESTIMATED PROCESS PARAMETERS |
| title | EXACT RUN LENGTH DISTRIBUTION OF THE DOUBLE SAMPLING X CHART WITH ESTIMATED PROCESS PARAMETERS |
| title_full | EXACT RUN LENGTH DISTRIBUTION OF THE DOUBLE SAMPLING X CHART WITH ESTIMATED PROCESS PARAMETERS |
| title_fullStr | EXACT RUN LENGTH DISTRIBUTION OF THE DOUBLE SAMPLING X CHART WITH ESTIMATED PROCESS PARAMETERS |
| title_full_unstemmed | EXACT RUN LENGTH DISTRIBUTION OF THE DOUBLE SAMPLING X CHART WITH ESTIMATED PROCESS PARAMETERS |
| title_short | EXACT RUN LENGTH DISTRIBUTION OF THE DOUBLE SAMPLING X CHART WITH ESTIMATED PROCESS PARAMETERS |
| title_sort | exact run length distribution of the double sampling x chart with estimated process parameters |
| topic | HD28-70 Management. Industrial Management QA1-939 Mathematics |
| url | http://eprints.usm.my/36940/1/%28EXACT_RUN_LENGTH_DISTRIBUTION%29_978-5080-1-PB.pdf |
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