In order to reduce carbon emissions, various government organizations have taken measures to promote the development of the electric vehicle industry. Motivated by scheduling practices, this work proposes a battery electric bus (BEB) charging scheduling problem. Different from the existing research on scheduling, the completion level of each task in this problem is controllable, because the charging level of BEB can be controlled. Besides, for saving charging cost, bus companies usually charge their battery electric buses (BEBs) at night. Because of the concentration of charging time, the decision-maker must make charging scheduling decision under a departure schedule to ensure charging with no delay. For solving this problem, we first establish a mixed integer linear programming model with the aim of minimising the total electricity cost and battery loss cost. Numerical experiments demonstrate the electiveness of the proposed model.