To solve the economic-statistical design problem of the adaptive smoothing parameter exponentially weighted moving average(AEWMA) control chart, an economic-statistical design method based on the range of shift is proposed. An optimization algorithm is designed based on the hierarchical optimization and penalty function for the AEWMA control chart. The effectiveness of the economic-statistical design method is proved by the comparison between the AEWMA control chart optimized on a shift range and the exponentially weighted moving average(EWMA) chart optimized at a single constant shift. The simulation results show that the economic-statistical performances of the AEWMA control chart outperform the EWMA control chart.