Allocation of flows of passengers on a large public transport network formulated as a problem of variational inequalities

The biggest cities in the world faced problems in the transportation system. In order to plan the system, decision makers need tools, which enable them to make good approximate simulations of the routing choice process for all the users. The work presents the formulation and implementation of a passenger flow assignment model for a transit transportation network. The model has been stated as a variational inequality problem. The solution algorithm makes some assumptions about the process of flow partition between alternative line segments. The procedure has been implemented using Delphi language and applied in tests with small networks published in the literature. A bigger experiment has been conducted with the transit network of Rio de Janeiro city.