自主无信号交叉口的马尔可夫模型分析
Analysis of a Markovian Queuing Model for Autonomous Signal-Free Intersection
摘要：
我们考虑一种新的，解析排队模型的车辆协调在无信号交叉口。车辆到达交叉口服从泊松过程，交叉口的通过时间是依赖于车辆类型的常数。我们使用这个模型定量相关的关键操作参数（车辆速度/加速度，车辆间车头时距）的关键性能指标（吞吐量和延迟）下的先到先得的规则。我们使用的Foster-Lyapunov漂移条件，以获得稳定性的标准和上界的平均时间延迟。基于这些结果，我们比较了无信号交叉口与传统车辆以及联网和自动驾驶车辆的效率。我们还验证了我们的结果在城市交通模拟（SUMO）。
英文摘要：
We consider a novel, analytical queuing model for vehicle coordination at signal-free intersections. Vehicles arrive at an intersection according to Poisson processes, and the crossing times are constants dependent of vehicle types. We use this model to quantitatively relate key operational parameters (vehicle speed/acceleration, inter-vehicle headway) to key performance metrics (throughput and delay) under the first-come-first-serve rule. We use the Foster-Lyapunov drift condition to obtain stability criteria and an upper bound for average time delay. Based on these results, we compare the efficiency of signal free intersections with conventional vehicles and with connected and autonomous vehicles. We also validate our results in Simulation of Urban Mobility (SUMO).
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