On a link-based day-to-day traffic assignment model

In this paper, we perform a rigorous analysis on a link-based day-to-day traffic assignment model recently proposed in He et al. (2010). Several properties, including the invariance set and the constrained stability, of this dynamical process are established. An extension of the model to the asymmetric case is investigated and the stability result is also established under slightly more restrictive assumptions. Numerical experiments are conducted to demonstrate the findings.

► Establishing the (global)constrained stability of the dynamics under mild conditions. ► Extending the original model to the asymmetric case. ► Showing that the feasible set is an invariant set. ► Investigating the relationship between this model and a gap function based model. ► Performing numerical experiments to demonstrate the findings.