In this paper, a one-sided adaptive exponentially weighted moving average X ¯ scheme utilizing the truncation method (called the one-sided TAEWMA X ¯ chart) is proposed for monitoring processes involving measurement errors. Leveraging the linear covariate error model, both the Markov chain model and the Monte Carlo simulation are established to evaluate the run length ( RL ) properties of the proposed chart. In the presence of measurement errors, an optimal search strategy is developed to identify the optimal design parameters of the scheme. Subsequently, the effects of measurement errors on both zero-state and steady-state average run length ( ARL ) performance of the proposed scheme are studied. Comparative studies with two other existing schemes reveal that, despite the significant effects of measurement errors on ARL performance, the proposed chart remains superior to the existing competing schemes in shift detection, especially when multiple measurement operations are involved. Finally, an illustrative example is provided to demonstrate the application of the suggested scheme.
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