Bi-level Programming Method for Differentiated Toll Rate Optimization of Expressway Empty Freight Vehicle
This paper proposes a toll rate optimization method to improve the empty freight vehicle diversion due to adjusting the expressway freight vehicle charging from weight-based to vehicle-type-based charging.The upper level planning model is developed to maximize the revenue of the operating entity,considering the improvement of expressway traffic efficiency and the management and maintenance expenditure of incremental empty freight vehicle.Then,the lower-level planning model is developed to maximize the travel utility of road users.The empty freight vehicle travel utility function is developed based on the logical regression model and stochastic utility maximization theory,to analyze the impact of empty freight vehicle property variables on travel utility.The incremental expressway empty freight vehicle is predicted under different preferential rates using the multi-layer neural network model and Hermite interpolation method,as the connection variable of upper and lower levels.In the experimental analysis,the optimal rate of empty freight vehicle is calculated using the Limited-memory Broyden-Fletcher-Goldfarb-Shanno algorithm(L-BFGS-B).The results show that the rate discount of expressway is the key factor influencing the choice of empty freight vehicle.The location of vehicles registration has a great impact on the choice of empty freight vehicle of class Ⅰ and class Ⅳ,and the transportation mode has a great impact on the choice of empty freight vehicle of class Ⅱ,class Ⅲ and class Ⅵ.Compared to the current rate scheme,the optimized rate scheme can increase the annual toll revenue by 39.41 million yuan,improve the efficiency of expressway by 4.17%,and increase the travel utility of empty freight vehicle by 3.51 per vehicle.