This paper presents a new continuum model describing the dynamics of multiclass traffic flow on multilaneudfreeways including weaving sections. In this paper, we consider a specific freeway weaving type, which isudformed when an on ramp is near to an off ramp and these two ramps are joined by an auxiliary lane. Trafficudinteractions in this weaving zone are very complex due to the involvement of weaving flows and non-weavingudflows in the so-called mandatory lane-changing process. To handle this complexity, it is essential to have audgood understanding of the (microscopic) driving behavior within the weaving zones. These behaviors areudmodeled based on a gap-acceptance model. The methodology to obtain a weaving continuum traffic model isudthus twofold. On the one hand, we develop a (macroscopic) model to determine the mandatory lane-changingudprobability based on a renewal process. On the other hand, we implement the lane-changing model into audcurrent gas-kinetic traffic flow model for heterogeneous traffic flow on multilane roadways. From this,udcorresponding macroscopic model is obtained based on the method of moments.
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