System-size dependence of a jam-absorption driving strategy to remove traffic jam caused by a sag under the presence of traffic instability
System-size dependence of a jam-absorption driving strategy to remove traffic jam caused by a sag under the presence of traffic instability
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DOI：
10.1016/j.physa.2022.127512
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发表时间：
2021-10
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通讯作者：
Ryosuke Nishi;Takashi Watanabe
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作者：
Ryosuke Nishi;Takashi Watanabe
凹陷是由下坡变为上坡的路段，是公路的瓶颈。我们考虑一个系统，在这个系统中，所有的车辆都是连接在一起的，并且在一条有凹陷的单车道上运行。我们提出了一个简单的策略来消除由凹陷引起的交通堵塞。我们的策略是在拥堵前沿的上游分配一辆车来执行拥堵吸收驾驶（JAD）：朝着预测的目标行驶，最终消除拥堵。我们使用了具有交通不稳定性的微观车辆跟随模型，一个针对道路坡度的加速度模型和一个瞬时油耗模型。我们的主要目标是阐明系统大小（系统中车辆的数量）对我们策略的影响。通过将系统规模从500辆增加到10,000辆，我们发现了每辆车的平均总旅行时间和每辆车的平均总燃料消耗如下结果。我们的策略可以降低前者，降低率略有提高。我们的策略可以减少后者，减少率逐渐减小，并大致保持不变。前者和后者的最佳JAD时空尺度分别大致保持不变。将前者和后者同时最小化是不可能的。不仅是车辆交通流，还有其他自驱动粒子（如船舶、蜂群机器人和行人）排成一列，并通过瓶颈的集体动力学也可以使用我们的策略进行建模。
Sag is a road section where a downhill changes into an uphill, and is a highway bottleneck. We consider a system in which all vehicles are connected, and run on a single-lane road with a sag. We propose a simple strategy for removing each traffic jam caused by the sag. Our strategy assigns a vehicle upstream of the jam front to perform the jam-absorption driving (JAD): running toward the predicted goal, and finally removing the jam. We use a microscopic car-following model possessing the traffic instability, an acceleration model against the road gradient of a sag, and an instantaneous fuel consumption model. Our main goal is to elucidate the influence of the system size (the number of vehicles in the system) on our strategy. By increasing the system size from 500 to 10 000 vehicles, we have found the following results for the average total travel time per vehicle, and the average total fuel consumption per vehicle. Our strategy can reduce the former with a slightly increasing rate of reduction. Our strategy can reduce the latter with a rate of reduction which decreases and becomes roughly constant. Optimal spatiotemporal scales of JAD for the former and the latter become roughly constant, respectively. Minimizing the former and the latter simultaneously is not possible. Not only vehicular traffic flow, but also the collective dynamics of other self-driven particles (such as ships, swarm robots, and pedestrians) lined up in a single column, and passing through a bottleneck can be modeled using our strategy.