A critical reevaluation of the resubmission-based control chart

Nesma A. Saleh, Mahmoud A. Mahmoud, Abdul Haq and William H. Woodall

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 23, 7427-7438

Abstract: A Shewhart control chart using a re-submission sampling scheme was recently introduced. This sampling scheme allows for the selection of up to (m−1) additional samples at any time point if the chart statistic exceeds the control limits. The process is declared to be out-of-control only if all m statistics fall beyond the control limits; otherwise it is declared to be in-control. This chart was recommended over the conventional Shewhart chart because of its better average run length (ARL) profile. Reliance solely on the ARL metric, however, fails to account for the increased number of observations that could be drawn from the process before reaching a decision. In this study, we show that the classical charts can significantly outperform the resubmission-based control chart when more appropriate performance metrics are considered.

Date: 2025
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DOI: 10.1080/03610926.2025.2476024

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