Economic Design of a Single CUSUM Chart with Combined One-sided Monitoring of Process Mean

ECU Author/Contributor (non-ECU co-authors, if there are any, appear on document)

Matthew Bergenn (Creator)

Institution

East Carolina University (ECU )

Web Site: http://www.ecu.edu/lib/

Abstract: A single , two-sided CUSUM chart utilizing continuously variable sampling intervals and continuously variable sample sizes monitors a process mean and is optimized through an economic design metric. The combined CUSUM statistic is capable of detecting positive and negative shifts simultaneously in one chart , which relies on consecutive indications of either an increase or decrease in mean. A family of polynomial shapes define the rate at which the minimum sample size/maximum sampling interval sweeps to the maximum sample size/minimum sampling interval as the combined CUSUM statistic approaches the boundary. All possible transition probabilities are derived and nine parameters are optimized by minimizing a long-run hourly cost function using 16 different scenarios , varying costs and times spent in/out of control.

Additional Information

Publication

Thesis

Language: English

Date: 2019

Keywords

control chart design, economic statistical design, variable sampling intervals

Subjects

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