Theoretical conditions for restricting secondary jams in jam-absorption driving scenarios
Theoretical conditions for restricting secondary jams in jam-absorption driving scenarios
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DOI：
10.1016/j.physa.2019.123393
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发表时间：
2019-02
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影响因子：
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通讯作者：
Ryosuke Nishi
中科院分区：
文献类型：
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作者：
Ryosuke Nishi
人们对少数车辆为改善宏观交通流量而进行的主动操作产生了相当大的兴趣。堵塞吸收驾驶（JAD）是单车消除大范围移动堵塞的操作，由两个动作组成。首先，堵塞上游的车辆减速并保持低速。由于它切断了拥堵车辆的供应，拥堵情况有所缓解，最终消失。其次，它恢复跟随前方车辆。 JAD的关键问题之一是二次堵塞的发生。由于交通流的不稳定，JAD 行动造成的扰动可能会发展为二次拥堵。通过非周期系统中的数值模拟来研究二次堵塞的发生，其中只有人类驾驶的车辆放置在执行 JAD 的车辆的上游。然而，尚未提出限制这些系统中二次堵塞的理论条件。本文提出了在非周期性单车道道路上，由执行 JAD 的车辆和遵循跟车模型的其他人类驾驶车辆组成的半无限系统中限制二次堵塞的理论条件。在构造这个条件时，我们将线性弦稳定性应用于 JAD 的宏观时空结构。数值模拟表明，该条件的有限版本限制了二次堵塞。此外，在此条件下，我们证明了在宽范围的系统参数下限制半无限系统中的二次堵塞是可能的。我们还将这个条件扩展到具有时间滞后的条件，以估计堵塞的特征，并揭示时间滞后对系统行为的影响。此外，我们在其他具有来自其他车道或瓶颈的流入的半无限系统中构建了抑制二次堵塞的条件，并证明 JAD 可以限制这些系统中的二次堵塞。因此，我们的方法从理论上保证单辆车可以改善宏观交通流量。
There has been considerable interest in the active maneuvers made by a small number of vehicles to improve macroscopic traffic flows. Jam-absorption driving (JAD) is a single vehicle’s maneuvers to remove a wide moving jam and consists of two actions. First, a vehicle upstream of the jam slows down and maintains a low velocity. Because it cuts off the supply of vehicles to the jam, the jam shrinks and finally disappears. Second, it returns to following the vehicle ahead of it. One of the critical problems of JAD is the occurrence of secondary jams. The perturbations caused by JAD actions may grow into secondary jams due to the instability of traffic flows. The occurrence of secondary jams was investigated by numerical simulations in non-periodic systems where only human-driven vehicles are placed upstream of the vehicle performing JAD. However, no theoretical condition has been proposed to restrict secondary jams in these systems. This paper presents a theoretical condition restricting secondary jams in a semi-infinite system composed of a vehicle performing JAD and the other human-driven vehicles obeying a car-following model on a non-periodic and single-lane road. In constructing this condition, we apply the linear string stability to a macroscopic spatiotemporal structure of JAD. Numerical simulations show that a finite version of this condition restricts secondary jams. Moreover, under this condition, we demonstrate that it is possible to restrict secondary jams in the semi-infinite system under wide ranges of the parameters of the system. We also extend this condition to a condition with a time lag for estimating the characteristics of the jam, and reveal the influence of the time lag on the behavior of the system. Furthermore, we construct the conditions suppressing secondary jams in other semi-infinite systems with inflows from other lanes or a bottleneck, and demonstrate that JAD can restrict secondary jams in these systems. Thus, our method theoretically guarantees that a single vehicle can improve macroscopic traffic flows.