The variable sampling interval (VSI) feature enhances the sensitivity of a control chart that is based on fixed sampling interval (FSI). In this paper, we enhance the sensitivities of the auxiliary information‐based (AIB) adaptive Crosier cumulative sum (CUSUM) (AIB‐ACC) and adaptive exponentially weighted moving average (EWMA) (AIB‐AE) charts using the VSI feature when monitoring a mean shift which is expected to lie within a given interval. The Monte Carlo simulations are used to compute zero‐state and steady‐state run length properties of these control charts. It is found that the AIB‐ACC and AIB‐AE charts with VSI feature are uniformly more sensitive than those based on FSI feature. Real datasets are also considered to demonstrate the implementation of these control charts.
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