New microscopic models of motorcar traffic

We propose two new microscopic traffic models. The first one is an extension of the Intelligent Driver Model (IDM) by Martin Treiber and provides the prescribed distance in a steady-state flow. The second model is described by delay-differential equations and takes into account the reaction-time delay of drivers. The stability of new models about the equilibrium is studied analytically. The calibration approach is proposed for both new models.