Abstract
The characteristics of traffic density on the time-distance space is analyzed using hydrodynamic theory. By examining a density distribution at an isolated signalized intersection, characteristics of the differential equation which determines a density behavior is investigated. The deferential equation is solved numerically by replacing waves which are distributed continuously on the time-distance space by discrete shock waves (quasi-shock waves). The model that has been developed by using the concept of quasi-shock waves is generalized to analyze road networks. The developed model can consider a demand variation along time and location and traffic behavior at branching points.
