Yahaya, M. and Lim, Sok Li and Ibrahim, A. I. N. and Yeong, W. C. and Khoo, M. B. C. (2022) A variable sample size synthetic chart for the coefficient of variation. South African Journal of Industrial Engineering, 33 (1). pp. 1-15. ISSN 2224-7890, DOI https://doi.org/10.7166/33-1-2545.
Full text not available from this repository.Abstract
A variable sample size (VSS) synthetic chart to monitor the coefficient of variation (gamma) is proposed in this paper to improve the performance of the existing synthetic gamma chart. A description of how the chart operates, as well as the formulae for various performance measures (i.e., the average run length (ARL), standard deviation of the run length (SDRL), average sample size (ASS), and expected average run length (EARL)) are proposed. The algorithms that optimise the out-of-control ARL (ARL(1)) and EARL (EARL(1)), subject to the constraints in the in-control ARL (ARL(0)) and ASS (ASS(0)), are also proposed. Subsequently, optimal charting parameters for various numerical examples are obtained. The proposed chart shows a significant improvement over the existing synthetic gamma-chart. Comparisons with other gamma-charts also show that the proposed chart performs better than the Shewhart-gamma and VSS-gamma charts under all cases, while showing better performance than the exponentially weighted moving average (EWMA) and VSS EWMA-gamma(2) charts for moderate and large shift sizes. Finally, this paper shows the implementation of the proposed chart on an actual industrial example.
| Item Type: | Article |
|---|---|
| Funders: | None |
| Uncontrolled Keywords: | variable sample size (VSS); Gamma-charts; Industrial example |
| Subjects: | T Technology > TA Engineering (General). Civil engineering (General) |
| Divisions: | Faculty of Business and Accountancy |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 13 Oct 2023 02:10 |
| Last Modified: | 13 Oct 2023 02:10 |
| URI: | http://eprints.um.edu.my/id/eprint/42250 |
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