A Semi-dynamic Traffic Equilibrium Assignment Model with Link Arrival and Departure Rates

Abstract

This paper presents a semi-dynamic traffic equilibrium assignment model with link queue evolution by distinguishing arrival rate and departure rate. Specifically, 1) time is divided into discrete time periods, 2) the link queue evolution is represented by the state equation with arrival rate and departure rate, 3) each time period is treated as the static equilibrium state. We reveal that the model can be reduced to the standard form of the nonlinear complementarity problem. By examining the mapping, we then show that the structural correspondence of the proposed model and the DUE/DUO models.