复杂城市交通网络拥堵传播的改进SIS模型

张俊锋,马昌喜,吴芳,蒲菡,贾富强

交通运输研究 ›› 2015, Vol. 1 ›› Issue (6) : 20-25.

PDF(1483 KB)
PDF(1483 KB)
交通运输研究 ›› 2015, Vol. 1 ›› Issue (6) : 20-25.
专题

复杂城市交通网络拥堵传播的改进SIS模型

  • 张俊锋,马昌喜,吴芳,蒲菡,贾富强
作者信息 +

Improved SIS Model of Congestion Propagation of Complex Urban Traffic Network

  • ZHANG Jun-feng,MAChang-xi,WU Fang,PU Han and JIA Fu-qiang
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摘要

:为深入分析城市交通网络拥堵动态演进过程,建立了交通拥堵传播的改进SIS模型(传染病模 型)。模型根据目标节点自身受随机因素的影响、其邻居节点的状态和影响能力以及不同状态节点间 的耦合强度,动态计算目标节点由畅通变为拥堵又恢复畅通的概率,并进一步考虑了不同交通状态的 传播时间对拥堵传播的影响。基于BA Barabási-Albert 无标度网络对传播过程进行仿真,拥堵随时 间的演化与相关研究一致,验证了模型的有效性。仿真结果表明:根据作用节点属性的不同,随 机因素对拥堵的初始规模、传播速度及传播稳定状态的阻塞水平具有不同的影响能力;不同状态 节点间的相互作用对拥堵传播具有重要作用;畅通状态与拥堵状态平均传播时间的比值对拥堵传 播的影响存在阈值;不同状态传播时间的波动性对拥堵传播速度、平衡态阻塞水平具有一定影响。

Abstract

In order to deeply analyze the dynamic evolution of urban traffic network congestion, an im⁃ proved SIS model of traffic congestion propagation was established. The probabilities of an unimpeded node changing to congested one and then recovering unimpeded one were dynamically calculated accord⁃ ing to the random factors′ influence on it, the conditions and influence abilities of its neighbor nodes and the coupling strength of nodes with different conditions. Moreover, the influence of propagation time of different traffic states on the propagation was considered in this model. Simulated based on BA scalefree network, the evolution of congestion over time was concordant with relevant researches, which veri⁃ fied the effectiveness of this model. The simulation results show that the influence of random factors on initial size of congestion, propagation speed and congestion level at steady state are different according to node properties; the interaction between nodes with different states plays an important role in conges⁃ tion propagation; the influence of ratio between propagation time of unimpeded state and congestion state exists threshold; the volatilities of propagation time under different states has a certain influence on con⁃ gestion propagation speed and congestion level of equilibrium state.

关键词

BA无标度网络 / 交通拥堵传播 / 改进SIS模型 / 复杂城市交通网络 / 仿真分析

Key words

BA scale-free network / traffic congestion propagation / improved SIS model / complex urban traffic network / simulation analysis

引用本文

导出引用
张俊锋,马昌喜,吴芳,蒲菡,贾富强. 复杂城市交通网络拥堵传播的改进SIS模型[J]. 交通运输研究. 2015, 1(6): 20-25
ZHANG Jun-feng,MAChang-xi,WU Fang,PU Han and JIA Fu-qiang. Improved SIS Model of Congestion Propagation of Complex Urban Traffic Network[J]. Transport Research. 2015, 1(6): 20-25

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