Abstract
This survey presents, in a comprehensive way, the substantial recent developments in the statistical and economic design of adaptive or dynamic charts that allow some of their parameters to change during production. After discussing several different measures of performance for these charts, the survey proceeds with a presentation of published models and results, classifying them according to the chart parameters (sampling intervals, sample sizes, and control limits) that the models allow to change dynamically. Comparisons between adaptive and static charts are provided and discussed. It is concluded that utilization of adaptive charts can increase significantly the effectiveness of process monitoring. Finally, the survey identifies gaps in the existing literature which may constitute fruitful areas for further research.