Advanced OR and AI Methods in Transportation SECOND ORDER TRAFFIC FLOW MODELING: SUPPLY- DEMAND ANALYSIS OF THE INHOMOGENEOUS RIEMANN PROBLEM AND OF BOUNDARY CONDITIONS
نویسندگان
چکیده
Recently Aw, Rascle and Zhang introduced a second order model (ARZ) that does nor exhibit the usual drawbacks of this family of models, i.e. negative velocities and/or densities. In this paper we analyze the inhomogeous Riemann problem for this model, which is shown to be equivalent to the inhomogeous Riemann problem for a related first order model with modified equilibrium flow density relationship. The boundary conditions for the ARZ model are deduced. They can be expressed in terms of an upstream demand and downstream supply.
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