Steady-state traffic flow on a ring road with up- and down-slopes
Steady-state traffic flow on a ring road with up- and down-slopes
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DOI：
10.1016/j.physa.2014.02.016
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发表时间：
2013-05
影响因子：
3.3
通讯作者：
Chun-Xiu Wu;Peng Zhang;S. Wong;Keechoo Choi
中科院分区：
文献类型：
--
作者：
Chun-Xiu Wu;Peng Zhang;S. Wong;Keechoo Choi
采用半离散模型研究了具有上下坡的环形道路上的稳态交通流。通过利用半离散和连续模型之间的关系，一个稳态的解决方案是唯一的确定为一个给定的总车辆数的环路。对于一阶连续模型，该解是精确的，并且总是稳定的，而对于半离散模型，只要所涉及的平衡常数状态是线性稳定的，该解是一个很好的近似。在其他情况下，一个或多个平衡的不稳定性可能会触发在某些路段或整个环路中传播的走走停停波。所示的结果是合理的，因此物理意义，更好地了解现实世界的交通流上的非均匀的道路，如那些路口或瓶颈。
Steady-state traffic flow on a ring road with up- and down-slopes is investigated using a semi-discrete model. By exploiting the relations between the semi-discrete and continuum models, a steady-state solution is uniquely determined for a given total number of vehicles on a 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 other cases, the instability of one or more equilibria could trigger stop-and-go waves propagating in certain sections of road or throughout the ring road. The indicated results are reasonable and thus physically significant for better understanding of real-world traffic flow on inhomogeneous roads, such as those with junctions or bottlenecks.