关键词: 多元动态控制图, 平均报警时间, 平均样本观测数, Markov链法, 蒙特卡洛仿真

Abstract: To choose the multiple dynamic quality control charts with more sensitive control performance,a performance analysis model for multiple dynamic control charts was established and the corresponding selection strategy was proposed.In Matlab environment,Markov chain method and Monte Carlo simulation method were used to solve the model,and the computational efficiency and precision of two methods were compared and analyzed when the process was in control and out of control.To solve the problem of too many conversions of optimal selection strategy,Variable Sampling Inlerval(VSI) and Variable Sampling Size and Interval(VSSI) multiple quality control charts should be given priority in the practical selection.If the size of off-target   was small,VSI Multi-variate Cumulative Sum Control Chart(MCUSUM) control chart was optimal in practice;if 0.9＜δ＜1.9,VSSI Hotelling T2 control chart should be selected;if δ＞2,any kind of multivariate adaptive control chart would be suitable.

Key words: multiple dynamic control chart, average time to signal, average number of samples, Markov chain method, Monte Carlo simulation