Formulation and solution algorithm of optimal on-ramp traffic control model for urban expressway network with multiple routes

In order to develop a steady-state on-ramp traffic control method for large scale urban expressway network in future, the conventional Linear Programming type model is extended so that it can be applied to the cases which include the network with multiple travel routes between on and off ramp pair and traffic congestion on each link. Formulated optimal control model combines the User Equilibrium assignment with the current LP type control model using bilevel optimization framework. The control variable of the model is each on-ramp traffic volume and the objective function is to maximize the total number of expressway users. Constraints are link capacity constraints and demand constraint as well as the UE conditions. A solution algorithm is proposed through applying the Costrained Simplex (Complex) Method. Simple numerical examples verify the algorithm. [In Japanese.]