Multi-class Multi-modal Network Equilibrium with Regular Choice Behaviors: A General Fixed Point Approach

摘要

In this paper, we propose a new model for the multi-class multi-modal network equilibrium problem, which is a route utility based model, and transfer flows for combined modes are considered specially. The model is formulated as a general fixed point problem. The choice behaviors are assumed regular, which include the common features of deterministic and of continuous with continuous first derivatives additive probabilistic choice models. Users of different classes permit different choice behaviors (including routes, modes, and interchanges), as well as different sets of available routes, modes, and interchanges. Different choice models are explicitly considered; in addition, travel demand of the network can be dealt without using its inverse-unlike the mathematical programming, vari-ational inequality, or complementarity formulations. Existence and uniqueness of the model are analyzed, which extend those conclusions in existed literature.