Stochastic Equilibrium Traffic Assignment with Value‐of‐time Distributed Among Users

Abstract

In this paper, existing fixed‐point models for stochastic equilibrium traffic assignment to transportation networks are extended to deal with the value of time distributed among users. This problem is relevant when transporation demand management measures affecting travelling monetary costs are to be evaluated. Analysis of existence and uniqueness of solutions is carried out, leading to mild assumptions about link cost‐flow functions, path choice model, and value‐of‐time distribution. Some quite simple solution algorithms are also specified and their convergence analysed. Results of some applications are also reported.