在干扰吸收驾驶场景中限制二次干扰的理论条件
Theoretical conditions for restricting secondary jams in jam-absorption driving scenarios
摘要：
通过少量车辆的主动机动来改善宏观交通流已经引起了相当大的兴趣。干扰吸收驾驶（JAD）是一种单车辆的机动，以消除一个广泛的移动堵塞，包括两个行动。首先，堵塞上游的车辆减速并保持低速。因为它切断了堵车的车辆供应，堵车缩小，最后消失。二次堵塞的发生是JAD的关键问题之一。由于交通流的不稳定性，JAD行为引起的扰动可能会发展为二次拥堵。二次堵塞的发生进行了研究，在非周期性系统中，只有人类驾驶的车辆被放置在上游的车辆执行JAD的数值模拟。然而，没有理论条件已被提出来限制在这些系统中的二次堵塞。本文给出了在非周期性单车道道路上由一辆执行JAD的车辆和其他服从跟驰模型的人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，有限版本的这个条件限制二次堵塞。此外，在此条件下，我们证明了它是可能的，以限制二次堵塞的半无限系统的参数范围很宽。此外，我们构造了抑制二次堵塞的条件，在其他半无限系统的流入从其他车道或瓶颈，并证明了JAD可以限制在这些系统中的二次堵塞。因此，我们的方法从理论上保证，一辆车可以改善宏观交通流量。
英文摘要：
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. 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
