The large scale operation of electric taxi needs the support of charging infrastructure. Take into account the time value to the taxi drivers and the consideration of convenience in finding passengers when they choose a charging station
a probability selection model based on utility function is given. Then the total social time cost in finding charging stations and passengers can be calculated. The minimum sum of total social time cost
investment of charging station and power losses is taken as the objective for the optimal planning of charging station location. The optimization configuration of charging stations is performed by utilizing the queuing theory M/G/c model. The whole planning model is solved by improved quantum genetic algorithm(IQGA). Finally
example analysis verifies the effectiveness and practicality of the planning method.