A DYNAMICAL MODEL WITH NEXT-NEAREST-NEIGHBOR INTERACTION IN RELATIVE VELOCITY
A DYNAMICAL MODEL WITH NEXT-NEAREST-NEIGHBOR INTERACTION IN RELATIVE VELOCITY
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DOI：
10.1142/s0129183107010450
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发表时间：
2007-05
影响因子：
1.9
通讯作者：
Zhi-peng Li;Yuncai Liu;Fuqiang Liu
中科院分区：
文献类型：
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作者：
Zhi-peng Li;Yuncai Liu;Fuqiang Liu
通过在最优速度模型(OVM)中引入前车与前车之间的车速差，提出了一种考虑相对速度次近邻相互作用的扩展动力学模型。通过考虑均匀流解附近的小扰动，得到了该模型的稳定性条件，并通过直接模拟验证了理论分析的正确性。分析和仿真结果表明，引入新的考虑因素后，有效地抑制了交通拥堵。此外，还通过数值模拟研究了新考虑因素的影响。特别是，通过改变参数的不同值，详细地考察了干扰流量、电流密度关系和小扰动的传播速度。
By introducing the velocity difference between the preceding car and the car before the preceding one into the optimal velocity model (OVM), we present an extended dynamical model which takes into account the next-nearest-neighbor interaction in relative velocity. The stability condition of this model is derived by considering a small perturbation around the uniform flow solution and the validity of our theoretical analysis is also confirmed by direct simulations. The analytic and simulation results indicate that traffic congestion is suppressed efficiently by incorporating the effect of new consideration. Moreover, the effect of the new consideration is investigated by numerical simulation. In particular, the jamming flow, the current-density relation, and the propagation speed of small disturbance are examined in detail by varying various values of the parameter.