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MEWMA Control Chart and Process Capability Indices for Simple Linear Profiles with Within‐profile Autocorrelation

A multivariate exponentially weighted moving average (MEWMA) control chart is proposed for detecting process shifts during the phase II monitoring of simple linear profiles (SLPs) in the presence of within‐profile autocorrelation. The proposed control chart is called MEWMA‐SLP. Furthermore, two process capability indices are proposed for evaluating the capability of in‐control SLP processes, and their utilization is demonstrated through examples. Intensive simulations reveal that the MEWMA‐SLP chart is more sensitive than existing control charts in detecting profile shifts. Copyright © 2016 John Wiley & Sons, Ltd.