Yeong, Waie Chung and Lee, Ping Yin and Lim, Sok Li and Ng, Peh Sang and Khaw, Khai Wah (2021) Optimal designs of the side sensitive synthetic chart for the coefficient of variation based on the median run length and expected median run length. PLoS ONE, 16 (7). ISSN 1932-6203, DOI https://doi.org/10.1371/journal.pone.0255366.
Full text not available from this repository.Abstract
The side sensitive synthetic chart was proposed to improve the performance of the synthetic chart to monitor shifts in the coefficient of variation (gamma), by incorporating the side sensitivity feature where successive non-conforming samples must fall on the same side of the control limits. The existing side sensitive synthetic- gamma chart is only evaluated in terms of the average run length (ARL) and expected average run length (EARL). However, the run length distribution is skewed to the right, hence the actual performance of the chart may be frequently different from what is shown by the ARL and EARL. This paper evaluates the entire run length distribution by studying the percentiles of the run length distribution. It is shown that false alarms frequently happen much earlier than the in-control ARL (ARL(0)), and small shifts are often detected earlier compared to the ARL(1). Subsequently, this paper proposes an alternative design based on the median run length (MRL) and expected median run length (EMRL). The optimal design based on the MRL shows smaller out-of-control MRL (MRL1), which shows a quicker detection of the out-of-control condition, compared to the existing design, while the results from the optimal design based on the EMRL is similar to that of the existing designs. Comparisons with the synthetic-gamma chart without side sensitivity shows that side sensitivity reduces the median number of samples required to detect a shift and reduces the variability in the run length. Finally, the proposed designs are implemented on an actual industrial example.
| Item Type: | Article |
|---|---|
| Funders: | Ministry of Education, Malaysia (FP052-2018A), Sunway University (GRTIN-IRG-69-2021) |
| Uncontrolled Keywords: | Side sensitive synthetic chart; Coefficient of variation; Expected median run length |
| Subjects: | Q Science > Q Science (General) |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms Zaharah Ramly |
| Date Deposited: | 18 Jul 2022 06:19 |
| Last Modified: | 18 Jul 2022 06:19 |
| URI: | http://eprints.um.edu.my/id/eprint/28030 |
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