Abstract
In this study, we develop a model which determines bus service levels considering users' travel behavior in multi-modal road network.The model is formulated as the 2-level Stackelberg planning problem. The optimal solutions of the sub-optimization problems represent the network equilibrium conditions by mode (cars, buses) under a given bus service level. The main-optimization problem represents the maximization of the users' benefit in the system under the traffic equilibrium conditions.In order to solve this model, we prove the convexity of sub-optimization problems and replace them with their Kuhn-Tucker's conditions. We also develop both a method by which we solve the 2-level Stackelberg planning problem and an algorithm. In a model network, the applicability of this model is verified.
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