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This paper proposes a new traffic model to describe traffic flow
with slope under consideration of the gravity effect. Based on the model,
stability analysis is conducted and a numerical simulation is
performed to explore the characteristics of the traffic flow with
slope. The result shows that the perturbation of the system is
an inherent one, which is induced by the slope. In addition, the
hysteresis loop is represented through plotting the figure of
velocity against headway and highly depends on the slope angle. The
kinematic wave at high density is also obtained through reproducing
the phenomenon of stop-and-go traffic, which is significant to
explore the phase transition of traffic flow and the evolution of
traffic congestion. 相似文献
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In this paper, the characteristics of synchronized traffic in mixed traffic flow are investigated based on the braking light model. By introducing the energy dissipation and the distribution of slowdown vehicles, the effects of the maximum velocity, the mixing ratio, and the length of vehicles on the synchronized flow are discussed. It is found that the maximum velocity plays a great role in the synchronized flow in mixed traffic. The energy dissipation and the distribution of slowdown vehicles in the synchronized flow region are greatly different from those in free flow and a traffic jamming region. When all of vehicles have the same maximum velocity with V max > 15, the mixed traffic significantly displays synchronized flow, which has been demonstrated by the relation between flow rate and occupancy and estimation of the cross-correlation function. Moreover, the energy dissipation in the synchronized flow region does not increase with occupancy. The distribution of slowdown vehicles shows a changeless platform in the synchronized flow region. This is an interesting phenomenon. It helps to deeply understand the synchronized flow and greatly reduce the energy dissipation of traffic flow. 相似文献
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We use the model with the consideration of the traffic study the relationship between the traffic risk coefficient interruption probability (Physica A 387(2008)6845) to and the traffic interruption probability. The analytical and numerical results show that the traffic interruption probability will reduce the traffic risk coefficient and that the reduction is related to the density, which shows that this model can improve traffic security. 相似文献
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The exact solutions of the rate equations of the n-polymer stochastic aggregation involving two types of clusters, active and passive for the kernel \dprnk=1s(ik)(s(ik)=ik) and \dsumnk=1s(ik)(s(ik)=ik), are obtained. The large-mass behaviours of the final mass distribution of the active and passive clusters have scaling-like forms, although the models exhibit different properties. Respectively, they have different decay exponents γ=\dfrac{2n+1}{2(n-1)} and γ=q+\dfrac{2n+1}{2(n-1)} for \dprnk=1}s(ik)(s(ik)=ik) and γ=\dfrac 3{2(n-1)} and γ=q+\dfrac 3{2(n-1)} for \dsumnk=1}s(ik)(s(ik)=ik), which include exponents of two-polymer stochastic aggregation. We also find that gelation is suppressed for kernel \dprnk=1s(ik)(s(ik)=ik) which is different from the deterministic aggregation. 相似文献
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