A modified side-sensitive synthetic chart to monitor the process mean

Sandile Charles Shongwe · Marien Alet Graham

24 citations0/0 files storedQuality Technology & Quantitative Management

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Advanced Statistical Process Monitoring Probability and Statistical Research Fault Detection and Control Systems

Abstract

In this paper, we propose a modified side-sensitive (MSS) synthetic chart which signals only if all the consecutive plotting statistics that lead to an out-of-control event fall on one side of the centre line, unlike the non-side-sensitive, standard and revised side-sensitive synthetic charts that also signal even when some of the plotting statistics fall on opposite sides of the centre line. Moreover, we use the Markov chain imbedding technique to study and compare the zero-state and steady-state average run-length (ARL), extra quadratic loss, average ratio of the ARLs and performance comparison index of the proposed MSS chart with other Shewhart-type synthetic and runs-rules charts. The synthetic chart with this MSS feature has a better overall zero-state and steady-state performance than the existing synthetic charts and hence makes it a strong contender in many applications where existing synthetic charts are currently used.

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References

2009Statistical quality control : a modern introduction 1991Detecting a Shift in Fraction Nonconforming Using Run-Length Control Charts with 100% Inspection 2000A Synthetic Control Chart for Detecting Small Shifts in the Process Mean 2008Phase I Statistical Process Control Charts: An Overview and Some Results 2002Evaluating and Improving the Synthetic Control Chart 2000Two Alternatives to the ShewhartXControl Chart 2010Enhancing the performance of EWMA charts 2010Improving the performance of CUSUM charts

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2019Side-sensitive synthetic and runs-rules charts for monitoring AR(1) processes with skipping sampling strategies 2021A new double sampling scheme to monitor the process mean of autocorrelated observations using an AR(1) model with a skip sampling strategy 2020On monitoring the process mean of autocorrelated observations with measurement errors using the w‐of‐w runs‐rules scheme 2018The economic and economic statistical designs of synthetic double sampling X‾ chart 2022An expanded case against synthetic‐type control charts

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