Abstract

In the study of the phenomena that affect traffic, such as the interaction of different instances that intervene in a transport network, or the behavior of users and the characteristics of the infrastructure, the analysis of traffic assignmemt is a fundamental tool. In recent years, due to contributions in new methodologies and advances in technologies, the problem of dynamic traffic assignment of the demand (DTA), which seeks to understand in a more realistic way the interactions between the transport network and the behavior of users when considering the time dependancy of their choice of route and/or departure time under certain conditions, such as user equilibrium (UE), becomes determinant, when it comes to analyzing this study area. Particularly, in order to understand that the choices of drivers who join an urban transport network vary from one another, it is necessary to consider stochasticity when generating DTA models (SDTA). In this paper, explicit characterizations of the fundamental functions that define the DTA, under EU conditions, for some transport network structures are given and, as a conclusion of computational testing followed by analytical analysis, it is presented that, under certain circumstances, the SDTA, under EU conditions and considering a discrete choice of route based on a logit model, converges and, after a bounded instant in time, is equal to the solution of the DTA case. Some examples are studied to ilustrate this results.