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Economic-Statistical Design of VSI Run Rules Charts  

Kang, Bun-Kyu (Dept. of Industrial & Information Systems Engineering, Soongsil University)
Lim, Tae-Jin (Dept. of Industrial & Information Systems Engineering, Soongsil University)
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Abstract
This research proposes a method for designing VSI (Variable Sampling Interval) control charts with supplementary run rules. The basic idea is to apply various run rules and the VSI scheme to a control chart in order to increase the sensitivity. The sampling process of the VSI run rules chart is constructed by Markov chain approach. A procedure for designing the VSI run rules chart is proposed based on Lorenzen and Vance's model. Sensitivity study shows that the VSI run rules charts outperform the FSI (Fixed Sampling Interval) run rules charts for wide range of process mean shifts. A major advantage of the VSI run rules chart over other charts such as CUSUM, EWMA, and adaptive charts is it's simplicity in implementation. Some useful guidelines are proposed based on the sensitivity study.
Keywords
ATS; Economic Design; Run Rules; VSI Chart;
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