Optimal designs of the variable parameters X estimated process parameters chart with

Yahaya, Masthura binti and Li Lim, Sok and Ibrahim, Adriana Irawati Nur and Yeong, Wai Chung and Khaw, Khai Wah (2021) Optimal designs of the variable parameters X estimated process parameters chart with. International Journal of Industrial Engineering-Theory Applications and Practice, 28 (3). pp. 277-297. ISSN 1943-670X,

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Among adaptive charts, the variable parameters chart shows the best performance as it varies all charting parameters. The existing variable parameters chart is designed by assuming that process parameters are known. However, process parameters are rarely known but are usually estimated based on Phase-I data. Hence, the variable parameters (X) over bar chart with estimated parameters is proposed. Formulae to evaluate various performance measures are derived through Markov chains. This paper shows that adopting the optimal charting parameters by incorrectly assuming that process parameters are known results in a large deterioration on the actual performance, especially for small shifts, a small number of subgroups, and small sample sizes. Subsequently, this paper proposes algorithms to obtain the optimal charting parameters for estimated parameters that show better performance, especially for small shift sizes, number of subgroups, and sample sizes. Finally, from an illustrative example, the proposed variable parameters (X) over bar chart is able to detect more out-of-control samples.

Item Type: Article
Funders: RUI (Individual) Grant by Universiti Sains Malaysia (USM) (1001/PKOMP/8011136)
Uncontrolled Keywords: Average time to signal; Estimated parameters; Known parameters; Optimal charting parameters; Subgroups; Variable parameters
Subjects: H Social Sciences > HF Commerce > Business
Q Science > QA Mathematics
Divisions: Faculty of Business and Economics
Depositing User: Ms Zaharah Ramly
Date Deposited: 19 Jul 2022 08:16
Last Modified: 19 Jul 2022 08:16
URI: http://eprints.um.edu.my/id/eprint/28056

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