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arXiv · 1305.2062

Steady-state traffic flow on a ring road with up- and down- slopes

Chun-Xiu Wu·Peng Zhang·S. C. Wong·Keechoo Choi
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Abstract

This paper studies steady-state traffic flow on a ring road with up- and down- slopes using a semi-discrete model. By exploiting the relations between the semi-discrete and the continuum models, a steady-state solution is uniquely determined for a given total number of vehicles on the ring road. The solution is exact and always stable with respect to the first-order continuum model, whereas it is a good approximation with respect to the semi-discrete model provided that the involved equilibrium constant states are linearly stable. In an otherwise case, the instability of one or more equilibria could trigger stop-and-go waves propagating in certain road sections or throughout the ring road. The indicated results are reasonable and thus physically significant for a better understanding of real traffic flow on an inhomogeneous road.

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Chun-Xiu Wu, Peng Zhang, S. C. Wong, Keechoo Choi. 2013-05-09. Steady-state traffic flow on a ring road with up- and down- slopes. https://doi.org/10.1016/j.physa.2014.02.016

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