Abstract
AbstractMemory‐type charts are well‐recognized as an advanced process monitoring tool because of their sensitive nature against small‐to‐moderate shifts that occur in the process parameters. One of those memory‐type charts is a CUmulative SUM (CUSUM) chart. In order to increase the sensitivity of the CUSUM mean chart, the CUSUM statistic is updated with the CUmulative EWMA‐SUM (CUESUM), which results into the CUESUM chart. The CUESUM chart encompasses the Crosier CUSUM (CCUSUM) chart. Using the Monte Carlo simulations, the run‐length properties of the CUESUM chart are computed. Based on detailed run‐length comparisons, it turns out that the CUESUM chart is more sensitive than the CCUSUM, EWMA, and double EWMA charts when detecting small shifts in the process mean. In addition, the CUESUM chart is uniformly more sensitive than the EWMA‐CUSUM chart. Real and simulated datasets are considered to demonstrate the implementation of the proposed chart.
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