Economic-statistical optimization design of time-varying parameters adaptive cumulative sum chart
In order to reduce the cost of process quality control and improve the monitoring efficiency of control chart for different degrees of shifts,the optimization design of time-varying parameter adaptive cumu-lative sum(TVPACUSUM)chart is discussed in this paper.Firstly,an ACUSUM chart which can adjust the control chart parameters according to exponential weighted moving average(EWMA)shift estimators is pro-posed.Secondly,aiming at minimizing the average product length and average quality cost per unit product,a economic-statistical multi-objective optimization design model of the TVPACUSUM chart is constructed.Finally,in the case that the possible process shift is fixed or in a certain range,it is compared with control chart design methods in the existing literature.The results show that the time-varying parameter design can effectively improve the sensitivity of the control chart to the change of process state,and the optimization de-sign proposed in this paper can effectively improve the overall monitoring efficiency of ACUSUM chart while maintaining a low overall quality cost.
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维普
