Yeong, Wai Chung and Li Lim, Sok and Khoo, Michael Boon Chong and Ng, Peh Sang and Chong, Zhi Lin (2022) A variable sampling interval run sum chart for the coefficient of variation. Journal of Statistical Computation and Simulation, 92 (15). pp. 3150-3166. ISSN 0094-9655, DOI https://doi.org/10.1080/00949655.2022.2061486.
Full text not available from this repository.Abstract
This paper proposes a variable sampling interval (VSI) run sum chart for the coefficient of variation (gamma), where the sampling interval is varied according to the current cumulative scores. Formulae to evaluate various performance measures for the proposed chart are derived, and algorithms to optimize the performance of the proposed chart using these measures are developed. These algorithms are then implemented on several numerical examples. Comparisons show that varying the sampling interval improves the performance of the run sum gamma chart. Furthermore, the VSI run sum gamma chart outperforms several existing charts in the literature. Implementation based on an illustrative example shows that the VSI run sum gamma chart reduces the time needed to detect an out-of-control signal compared with its fixed sampling interval (FSI) counterpart.
| Item Type: | Article |
|---|---|
| Funders: | Fundamental Research Grant Scheme [FP052-2018A], Research University Grant [GPF030B-2018] |
| Uncontrolled Keywords: | Average Time to Signal; Control Charts; Coefficient of Variation; Run Sum; Variable Sampling Interval |
| Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Divisions: | Faculty of Science |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 25 Sep 2023 02:58 |
| Last Modified: | 25 Sep 2023 02:58 |
| URI: | http://eprints.um.edu.my/id/eprint/41469 |
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