Capability index-based control chart for monitoring process mean using repetitive sampling

What is it about?

A new process capability index (PCI) control chart for monitoring the process mean using repetitive sampling is presented. The design of the proposed control chart is based on an unbiased estimator σ ̂=s ̅/c_4 of the process standard deviation for a normally distributed quality characteristic. The formulae for the in-control and out-of-control average run length and the standard deviation of the run length (SDRL) are derived. Tables of in-control and out-of-control average run length (ARL) and standard deviation of the run length (SDRL) for various shifts, δ are presented.

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Why is it important?

The proposed control chart outperforms existing control chart in detecting relatively small process mean shifts in terms of ARLs and SDRLs.

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