With economic development, we are witnessing a high intensity of road traffic in general and especially public transport in particular. Unfortunately, this situation has negative environmental and economic consequences in the urban environment. To remedy this, several research have been made to optimize this type of transport. In this paper, we propose an optimal public transport management system which minimizes different criteria including travel distance, vehicle service time and safety obstacles (radius of curvature of turns and degree of slopes). The application of our model on different datasets gives better results compared to other works.