Аннотация:
Since 1956, the Beckmann model is the reference for the static trafc equilibrium problem not
only from a theoretical but also from a practical point of view. In 1998, Nesterov & de Palma
developed a new model for the static trafc equilibrium problem. In contrast to the Beckmann
model, the travel time on an arc is a variable of an optimization problem and it is not determined
only by the ow on this arc. Additionally, road capacity constraints are explicitly modeled.
The main objective of this work is to provide clarity on model differences both theoretically
and practically. First, we consider qualitative differences between both models. In particular,
the notion of delays, congestion, the detection of Braess arcs, and the price of anarchy are
presented. Secondly, we study quantitative differences in the solutions of both models using
largescale benchmark instances as well as real data. For the Beckmann model, we solve the
corresponding optimization problem using the VISUM software. For the Nesterov & de Palma
model, we design algorithms based on nonsmooth methods developed by Nesterov in 2005.
