A variable sample size run sum coefficient of variation chart

Yeong, Wai Chung and Tan, Yen Yoon and Li Lim, Sok and Khaw, Khai Wah and Khoo, Michael Boon Chong (2022) A variable sample size run sum coefficient of variation chart. Quality and Reliability Engineering International, 38 (4). pp. 1869-1885. ISSN 0748-8017, DOI https://doi.org/10.1002/qre.3057.

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A run sum chart with variable sample size (VSS) to detect shifts in the coefficient of variation (gamma) is proposed. The run sum gamma chart divides the chart into different regions with distinct scores assigned to these regions, and evaluates the process from the cumulative score. The proposed chart varies the sample size based on the cumulative score. A detailed description of the operation for the proposed chart is provided. Formulae to evaluate various performance measures are also derived. Furthermore, algorithms to optimize the chart are proposed. The chart significantly outperforms the run sum gamma chart without the VSS feature in most cases. Besides the run sum gamma chart, comparisons are also made against other gamma charts. Finally, the implementation of the VSS run sum gamma chart is shown on an illustrative example.

Item Type: Article
Funders: Fundamental Research Grant Scheme (Grant No: FP052-2018A), Research University Grant (Grant No: GPF030B-2018)
Uncontrolled Keywords: Average run length; Coefficient of variation; Expected average run length; Run sum; Variable sample size
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 25 Oct 2023 01:46
Last Modified: 25 Oct 2023 01:46
URI: http://eprints.um.edu.my/id/eprint/41776

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