On the Kinetic Theory of Traffic Flow in the Case of a Nonnegligible Number of Queueing Vehicles

The interaction term of the Prigogine kinetic equation of traffic flow is modified in order to account for the existence of a nonnegligible number of queueing vehicles. The speed distribution of the queues is introduced for this purpose. New equations are obtained for a stationary homogeneous flow. The new model is compared with the Prigogine theory and with available experimental data.