考虑行程时间波动的干线信号协调控制鲁棒优化模型  

Robust optimization model for arterial signal coordination control considering travel time fluctuation

作　　者：赵靖[1] 徐竞琪 严佳超 殷宇婷 刘心雨 ZHAO Jing;XU Jingqi;YAN Jiachao;YIN Yuting;LIU Xinyu(Department of Traffic Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学交通系统工程系,上海200093

出　　处：《铁道科学与工程学报》2023年第4期1261-1269,共9页Journal of Railway Science and Engineering

基　　金：国家自然科学基金资助项目(52122215,71971140);上海市软科学项目(23692112200);上海市浦江人才计划(21PJC085)。

摘　　要：为提升城市干线交通运行效率,针对以往协调控制模型中未考虑路段行程时间波动性的不足进行改进,建立考虑行程时间波动的干线信号协调鲁棒优化控制模型。首先利用车牌识别数据,根据不同流向,提取不受信号延误影响的车辆路段行程时间分布。在此基础上,以路段行程时间构建情景集,以绿波带宽作为条件风险值指标,建立基于情景的鲁棒优化模型。该模型将行程时间分布通过情景发生概率融合在模型中,以绿波带宽条件风险值最小为目标函数,并考虑绿波带宽计算、周期时长、信号相位差、配时参数相互关联和参数非负性等约束条件。在模型求解中,通过增加辅助变量,对模型进行线性化处理,将模型转变为混合整数线性模型,从而可采用分支定界法进行求解。在情景数量为100条件下,优化求解时间不高于3 min。最后通过苏州市工业园区星湖街案例分析,验证模型的可用性和有效性。研究结果表明:所提出的鲁棒优化模型在平均绿波带宽、最小绿波带宽、90%位绿波带宽上均优于传统MAXBAND方案。90%位绿波带宽和最小绿波带宽分别提高了17.4%和19.0%,条件风险值降低了8.9%。To improve the operational efficiency of the urban street arterial,a robust optimization model for coordinated signal control was proposed to remedy the gap in the traditional model that the travel time fluctuation was not considered.First,based on the license plate recognition data,the travel time distribution of vehicles not affected by signal delay was extracted with the consideration of flow directions.Then,the scenario set was constructed based on the road travel time,and the scenario-based robust optimization model was established using green wave bandwidth as the indicator of the conditional risk value.The travel time distribution was integrated into the model through scenario occurrence probability.The objective function was to minimize the conditional risk value of green wave bandwidth.The constraints,such as green wave bandwidth,cycle length,signal offset,internal logic relation of signal timing parameters,and parameter non-negativity,were considered.During model solving,the model was linearized and transformed into a mixed-integer linear model by adding auxiliary variables,and then was solved by the branch and bound method.The optimal solution was obtained in 3 minutes when the number of scenarios was 100.Finally,a case study of Xinghu Street in Suzhou Industrial Park was carried out to verify the availability and effectiveness of the model.The results show that the proposed robust optimization model outperforms the MAXBAND scheme in average green wave bandwidth,minimum green wave bandwidth,and 90%green wave bandwidth.The 90%green wave bandwidth and minimum green wave bandwidth are improved by 17.4%and 19.0%,respectively,while the conditional risk value is reduced by 8.9%.

关 键 词：城市干线 信号协调控制 鲁棒优化 行程时间波动 

分 类 号：U491.2[交通运输工程—交通运输规划与管理]