Stochastic user equilibrium with combined mode in a degradable multi-modal transportation network

This paper proposes a stochastic user equilibrium assignment model for ascertaining the difference in the travel mode choice behavior in a degradable multi-modal traffic network. In the proposed model, on the basis of the actual travel behavior which often needs to transfer different traffic modals, all the travels are categorized into two classes: pure car trip travelers and combined mode trip(car-subway) travelers. The multi-modal traffic network equilibrium conditions are formulated as an equivalent fixed-point problem, and the proof of its solution existence is provided afterwards. A heuristic solution algorithm MSWA method which is the extension of the classical MSA method is introduced for solving this fixed-point problem. An example is used to illustrate the application of the proposed model and solution algorithm. Moreover, the performance comparison of the MSA and MSWA algorithm is also given to prove the precision and efficiency of MSWA method for solving this problem.