User equilibrium calculation in Multimodal static assignment using the MFG technique

Abstract

The object of the paper is to analyze the calculation of user equilibria in static multimodal networks. The multimodal model is a static version of the GSOM (generic second order model) which is a macroscopic model in which passenger and vehicular ows are distinct but the passenger ow is subordinate to the vehicular ow. Nodes in the network represent intersections, stations, interchanges and hubs. The paper will rst address the conception of the static multimodal GSOM model, in particular the issue of travel costs. Then the paper will consider progressive travel choice of travelers, which is described as a probability of route choice. Travelers improve progressively their choice in order to achieve optimal route choice while minimizing their daily rate of choice change. This process is described as a MFG (mean eld game) problem, a solution of which is proposed.