远离平衡点的交通运输密度反馈控制
Density-feedback control in traffic and transport far from equilibrium
摘要：
单车道交通流中的瓶颈情况通常以恒定的进入车辆需求来建模。然而，在实践中，这种需求可能取决于瓶颈中的汽车密度。本文研究了一个简单的双峰实现这种机制，我们称之为密度反馈控制（DFC）：如果在瓶颈的实际密度高于一定的阈值，可能进入汽车的水库密度降低到一个不同的恒定值。通过数值求解离散化的粘性Burgers方程，得到了一个丰富的稳态相图，并以流量最大化为目标，得到了典型交通管理策略中阈值的最优选择。通过计算机模拟的微观TASEP与DFC的分析结果进行了验证。
英文摘要：
A bottleneck situation in one-lane traffic-flow is typically modelled with a constant demand of entering cars. However, in practice this demand may depend on the density of cars in the bottleneck. The present paper studies a simple bimodal realization of this mechanism to which we refer to as density-feedback control (DFC): If the actual density in the bottleneck is above a certain threshold, the reservoir density of possibly entering cars is reduced to a different constant value. By numerical solution of the discretized viscid Burgers equation a rich stationary phase diagram is found. In order to maximize the flow, which is the goal of typical traffic-management strategies, we find the optimal choice of the threshold. Analytical results are verified by computer simulations of the microscopic TASEP with DFC.
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