The classical derivation of a traffic stream model (e.g. speed/concentration relation) from the equilibrium solutions of the Prigogine-Herman kinetic equation invokes the nontrivial assumption that the underlying distribution of desired speeds is nonzero for vanishingly small speeds. In this...

Classical deterministic (or "mechanical") developments of traffic stream models from car-following models are criticized on the following basis. The evaluation of the constant of integration for initial conditions corresponding to speed zero and headway equal to the reciprocal of jam density...