An extended multi-phase lattice model with consideration of optimal current changes with memory
An extended multi-phase lattice model with consideration of optimal current changes with memory
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考虑记忆最优电流变化的扩展多相晶格模型
DOI：
10.1007/s10586-018-1773-3
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发表时间：
2019-05
期刊：
影响因子：
--
通讯作者：
Weitiao Wu
中科院分区：
文献类型：
--
作者：
Cong Zhai;Weitiao Wu
提出了考虑记忆效应的最优电流变化的多相格模型，该模型在高密度和低密度两种情况下都有可能发生交通拥堵。应用线性稳定性理论，得到了模型的线性稳定性条件。通过非线性分析，推导了修正的KKdV方程，考察了临界点附近交通密度波的传播规律。数值模拟验证了最优车速变化对驾驶员记忆的敏感度，以及记忆时间步长对交通流的稳定效果。增加最优电流变化的记忆步长和驾驶员的记忆强度可以增强交通流的稳定性。此外，分析模型和模拟模型之间的相变和偏差高度依赖于灵敏度。
We present a multi-phase lattice model by considering the optimal current change with memory effect, in which traffic congestion could possibly take place in the cases of both high density and low density. The linear stability condition of the model is obtained by applying the linear stability theory. A modified Korteweg-de Vries (mKdV) equation is also derived through nonlinear analysis to examine the traffic density wave propagation near the critical point. Numerical simulation verified that not only the sensitivity of the optimal velocity change with memory of drivers but also the memory time step could effectively stabilize the traffic flow. The stability of traffic flow could be strengthened by increasing the memory step size of optimal current changes and the intensity of drivers’ memory. In addition, the phase transitions and the deviation between the analytical and simulation model is highly dependent on the sensitivity.
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DOI：
10.1016/j.physa.2014.11.003
发表时间：
2015-03
影响因子：
3.3
作者：
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DOI：
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期刊：
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DOI：
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发表时间：
2005-09
影响因子：
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DOI：
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发表时间：
2012-10
期刊：
Physica A: Statistical Mechanics and Its Applications
影响因子：
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