Roadside Unit Deployment Optimization Based on Mixed Traffic Stochastic Equilibrium
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摘要: 现有路侧单元(roadside units,RSUs)布局研究未充分考量无人驾驶车辆(autonomous vehicles,AVs)与人类驾驶车辆(human-driven vehicles,HVs)混合交通场景,难以保障车载自组织网络(vehicular ad hoc networks,VANETs)的连通性和覆盖性。为提升VANETs性能,研究混合交通随机路径选择下的RSUs布局。为刻画AVs路径选择行为,构建了基于通信概率的改进路径长度Logit模型,并基于该改进型Logit模型建立了AV-HV混合交通随机用户均衡(stochastic user equilibrium,SUE)数学规划模型。考虑AVs和HVs混合交通对RSUs布置的影响,设计了综合考虑通信概率和覆盖性的加权目标函数,建立了以该SUE数学规划模型为下层的RSUs布置优化的双层规划模型。进而,设计了基于速度监控策略的改进二进制粒子群求解算法。数值实验结果表明:①所提出的模型与算法是可行有效的,能够为不同交通需求找到整个网络连通性和覆盖性大于90%且平衡RSUs的数量与通信半径的最优布局方案;②当道路交通中的AVs比例超过5%时,优化布置RSUs可使VANETs具有较高的连通性和覆盖性;③较大通信半径(0.8 km)时的连通性和覆盖性随19~34范围内的RSU数量减少而缓慢下降但始终保持在较高水平,通信半径为0.6 km(0.4 km)时先缓慢后显著下降(先显著后缓慢下降)且最终均接近于0.4的低值;④AVs比例较低时AV-HV混合交通总需求对连通性和覆盖性的边际影响较大。Abstract: Existing studies on roadside unit (RSU) deployment insufficiently consider mixed traffic scenarios involving autonomous vehicles (AVs) and human-driven vehicles (HVs), making it difficult to ensure the connectivity and coverage of vehicular ad hoc networks (VANETs). To enhance VANET performance, research on RSU deployment under the impact of stochastic route choice of mixed traffic is conducted. To depict the route choice behavior of AVs, an improved path-size logit model is proposed based on communication probability, and a stochastic user equilibrium (SUE) mathematical programming model is established for mixed HV and AV traffic. Considering the impact of the mixed traffic with AVs and HVs on the RSUs deployment, a weighted objective function is designed to comprehensively considering both communication probability and coverage and establish a bi-level programming model for RSUs layout optimization with the aforementioned SUE mathematical programming as the lower-level model. An improved binary particle swarm optimization algorithm incorporating a speed monitoring strategy is designed to solve the bi-level model. Numerical experiments yield the following finds. ①The proposed model and algorithm are feasible and effective and can achieve, for different traffic demands, optimal deployment schemes with network connectivity and coverage greater than 90% and with balanced number of RSUs and communication radius. ②When AVs modal share exceeds 5%, optimized RSU deployment enables VANETs to achieve relatively high connectivity and coverage. ③With a large communication radius of 0.8 km, connectivity and coverage decrease slowly as the number of RSUs varies within the range of 19 to 34 but remain at a high level. With a communication radius of 0.6 km (0.4 km), connectivity and coverage decline slowly at first and then significantly (significantly at first and then slowly) and finally approach a low value of 0.4. ④A lower AV modal share incidates a greater marginal impact of total demand of mixed AV and HV traffic on connectivity and coverage.
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表 1 Nguyen-Dupuis网络特征
Table 1. Nguyen-Dupuis network characteristics
路段编号 $ t_{a}^{0}/\text{min} $ Ca/(veh/h) la/km 路段编号 $ t_{a}^{0}/\text{min} $ Ca/(veh/h) la/km 1 3.5 600 3.6 11 4.5 800 2.4 2 4.5 800 1.8 12 5.0 800 1.8 3 4.5 600 1.8 13 4.5 400 3.0 4 6.0 400 3.0 14 3.0 800 2.9 5 1.5 600 1.8 15 3.5 600 1.9 6 4.5 600 2.4 16 4.0 800 2.4 7 2.5 600 2.9 17 3.5 800 3.6 8 6.5 800 2.4 18 7.0 400 6.0 9 2.5 400 1.9 19 5.5 400 2.9 10 4.5 600 2.4 -
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