This survey presents. in a comprehensive way, the substantial recent d
evelopments in the statistical and economic design of adaptive or dyna
mic charts that allow some of their parameters to change during produc
tion. After discussing several different measures of performance for t
hese charts, the survey proceeds with a presentation of published mode
ls and results, classifying them according to the chart parameters (sa
mpling intervals, sample sizes, and control limits) that the models al
low to change dynamically. Comparisons between adaptive and static cha
rts are provided and discussed. It is concluded that utilization of ad
aptive charts can increase significantly the effectiveness of process
monitoring. Finally, the survey identifies gaps in the existing litera
ture which may constitute fruitful areas for further research.