Study of the traffic flow on the various sloping way

Abstract

Under the periodic boundary condition, applying the NaSch model with the different maximal velocity on the various types of the sloping way, which include sag, uphill and downhill, the effect of gravitational force upon traffic flow are taken into account. The computer simulation are carried out, the fundamental diagrams and the typical space-time diagrams for the traffic flow on the sag, the uphill, and downhill are obtained. A platform in the fundamental diagrams for the traffic flow on the uphill, and the length of the plat is related to the maximal velocity on the uphill.