Large-scale multimodal transportation network models and algorithms-Part I: The combined mode split and traffic assignment problem

• A more comprehensive multimodal urban transportation network is built, which includes three basic travel modes and two P&R modes. • We develop ageneral fixed-point (FP) model to formulate the combined mode split and traffic assignment (CMSTA) problem. • A new solution algorithm that integrated with several effective methods and strategies is proposed to solve the proposed model. • Numerical results illustrate the performance of the proposed model and algorithm on large-scale networks. Modelling the combined mode split and traffic assignment (CMSTA) problem is essential to capture the travelers’ behaviors and predict the flow distribution in multimodal transportation networks. In this paper, a general fixed-point model that combines the CNL-based mode split and the VI-based traffic assignment is developed to formulate the CMSTA problem in a more realistic multimodal network. The transit common line problem and asymmetric travel cost are considered. A new solution algorithm that integrated with several effective methods and strategies is proposed to solve the fixed-point model in large-scale networks. Numerical results show the effectiveness of the proposed model and algorithm.