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Emergent traffic jams

机译:紧急交通堵塞

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摘要

We study a single-lane traffic model that is based on human driving behavior. The outflow from a traffic jam self-organizes to a critical state of maximum throughput. Small perturbations of the outflow far downstream create emergent traffic jams with a power law distribution P(t)~t-3/2 of lifetimes t. On varying the vehicle density in a closed system, this critical state separates lamellar and jammed regimes and exhibits 1/f noise in the power spectrum. Using random walk arguments, in conjunction with a cascade equation, we develop a phenomenological theory that predicts the critical exponents for this transition and explains the self-organizing behavior. These predictions are consistent with all of our numerical results.
机译:我们研究了基于人类驾驶行为的单车道交通模型。交通堵塞的流出会自组织到最大吞吐量的临界状态。下游流出的小扰动会产生紧急交通拥塞,其寿命t的幂律分布P(t)〜t-3 / 2。在封闭系统中改变车辆密度时,此临界状态将层状状态和阻塞状态分开,并在功率谱中显示出1 / f噪声。使用随机游走参数,结合级联方程,我们开发了一种现象学理论,该理论预测了此过渡过程的关键指数并解释了自组织行为。这些预测与我们所有的数值结果一致。

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