论文标题

部分可观测时空混沌系统的无模型预测

Ramp Metering to Maximize Freeway Throughput under Vehicle Safety Constraints

论文作者

Pooladsanj, Milad, Savla, Ketan, Ioannou, Petros A.

论文摘要

我们考虑沿着车辆的坡道计量(RM),但遵循车辆的安全限制,该高速公路具有任意数量的运行式和外坡道的高速公路。车辆到达坡道及其目的地的到达时间是由外源随机过程建模的。一旦车辆从坡道上释放出来,如果另一辆车阻塞,它会加速自由流速。一旦它靠近另一辆车,就会在行为后采用安全的间隙车辆。车辆到达目的地外坡道后,车辆将离开高速公路。我们设计流量响应的RM政策,以最大化吞吐量。对于给定的路由矩阵,RM策略的吞吐量的特征是坡道到达率集,所有坡度的预期队列大小在所有坡道上都保持界限。拟议的RM策略在同步周期中起作用,在此期间,坡道在周期开始时没有释放更多的车辆大小。此外,所有政策都按照安全限制在车辆下运行,仅在释放时车辆之间的车辆之间有足够的差距时,新车辆才会释放。我们提供了三种机制,每个机制每个坡度都有:(i)在周期结束时停止释放时间间隔,或(ii)在周期内调整释放速率,或(iii)在周期内采用保守的安全间隙标准以释放。所有提出的政策都是反应性的,这意味着它们仅需要实时的交通测量,而无需进行需求预测。这些策略的吞吐量的特征是研究了诱导的马尔可夫链的随机稳定性,并在所有斜坡上的合并速度等于自由流速时被证明是最大化的。提供了模拟来说明我们的政策的表现,并与文献中众所周知的RM政策进行了比较。

We consider Ramp Metering (RM) at the microscopic level subject to vehicle following safety constraints for a freeway with arbitrary number of on- and off-ramps. The arrival times of vehicles to the on-ramps, as well as their destinations are modeled by exogenous stochastic processes. Once a vehicle is released from an on-ramp, it accelerates towards the free flow speed if it is not obstructed by another vehicle; once it gets close to another vehicle, it adopts a safe gap vehicle following behavior. The vehicle exits the freeway once it reaches its destination off-ramp. We design traffic-responsive RM policies that maximize the throughput. For a given routing matrix, the throughput of a RM policy is characterized by the set of on-ramp arrival rates for which the expected queue size at all the on-ramps remain bounded. The proposed RM policies work in synchronous cycles during which an on-ramp does not release more vehicles than its queue size at the beginning of the cycle. Moreover, all the policies operate under vehicle following safety constraints, where new vehicles are released only if there is sufficient gap between vehicles on the mainline at the moment of release. We provide three mechanisms under which each on-ramp: (i) pauses release for a time interval at the end of a cycle, or (ii) adjusts the release rate during a cycle, or (iii) adopts a conservative safe gap criterion for release during a cycle. All the proposed policies are reactive, meaning that they only require real-time traffic measurements without the need for demand prediction. The throughput of these policies is characterized by studying stochastic stability of the induced Markov chains, and is proven to be maximized when the merging speed at all the on-ramps equals the free flow speed. Simulations are provided to illustrate the performance of our policies and compare with a well-known RM policy from the literature.

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