Limited drivable range and long charging duration are the key hurdles for electric vehicles (EVs) to provide an acceptable driving experience. The solution for reducing charging duration is a significant upgrade in power networks to accommodate a widespread installation of chargers. Such an upgrade can be too expensive, hence, formulating intelligent charging scheduling strategy becomes an important means to improve driving experience after making sure that existing road network resources and power networks resources are efficiently utilized. Considering the heterogeneity of drivers' sensitivity to charging duration, this paper proposes a differentiated scheduling strategy for drivers with different priorities. Firstly, to balance the benefits of drivers with different priorities, a two-priority queuing model based on dynamic cut-off mechanism is proposed. Secondly, the admission principle of charging station is defined to ensure that high-priority drivers have the right to use the reserved chargers or to preempt the idle chargers. Then, a two-tier optimization model CCPQ (charging with cut-off priority queue) is proposed. Based on the optimal matching model for high-priority vehicles and charging chargers on the top tier, an optimal allocation model for low-priority vehicles on bottom tier is designed. Minimizing the total waiting time of low-priority drivers is constructed as a convex optimization problem. Finally, the effectiveness and superiority of the strategy are verified by simulation.