基于序关系的交叉口信号配时区间优化模型

陈小红, 卢冬情, 白丽君

交通运输研究 ›› 2022, Vol. 8 ›› Issue (1) : 67-78.

交通运输研究 ›› 2022, Vol. 8 ›› Issue (1) : 67-78. DOI: 10.16503/j.cnki.2095-9931.2022.01.008

基于序关系的交叉口信号配时区间优化模型

作者信息 +

Interval Optimization Model of Intersection Signal Timing Based on Order Relation

  • CHEN Xiao-hong ,  
  • LU Dong-qing ,  
  • BAI Li-jun
Author information +
文章历史 +

摘要

为处理交通流不确定性,提高交通信号控制方案的可靠性,结合非线性区间规划理论,提出交叉口信号配时参数区间优化模型。首先,在高峰时段以5min为采集标段对交叉口进行数据统计,并以此构造交通流量区间来区间化不确定参数;其次,以交通流量区间为控制系统输入参数,结合区间数理论,构建以机动车平均延误区间最小为目标的交叉口信号配时参数区间优化模型;然后,利用区间序关系和可能度模型进行模型转换,运用双层嵌套遗传算法进行求解;最后,选取北京市两个两相位交叉口进行模型验证与仿真比较。结果表明:信号配时区间优化模型是可行、有效的,且更适合于交通需求波动较大的交叉口,相较于实测数据,该区间优化模型车均延误减少了17.16%,通行能力提高了1.19%,且相较于传统控制方案,该模型提高了信号控制方案运行的稳定性。

Abstract

In order to deal with the uncertainty of traffic flow and improve the reliability of traffic signal control scheme, combined with the theory of nonlinear interval programming, an interval optimization model of intersection signal timing parameters was proposed. Firstly, traffic flow interval were constructed to interval uncertain parameters based on taking five minutes during peak period as the acquisition section for data statistics of intersections. Secondly, combined with the interval number theory, a signal timing parameters interval optimization model that minimized vehicle average delay interval was established by taking the traffic flow interval as the input parameters. Thirdly, the proposed model was transformed into the deterministic mathematical model by using the interval order relation and possibility degree model, and solved by a double nested genetic algorithm. Finally, two intersections with two-phase in Beijing were chosen for model verification and simulation comparison. The results show that the interval optimization method is feasible and effective, and more suitable for the intersection with large fluctuation of traffic demand. Using this interval optimization method, the vehicle average delay is reduced by 17.16% and capacity is increased by 1.19% compared with the measured data. Furthermore, compared with the traditional method, the stability of signal control scheme can be improved by this optimization method.

关键词

城市交通 / 交通信号控制 / 交通流不确定性 / 区间非线性优化 / 区间序关系

Key words

urban traffic / traffic signal control / traffic flow uncertainty / interval nonlinear optimization / interval order relation

引用本文

导出引用
陈小红, 卢冬情, 白丽君. 基于序关系的交叉口信号配时区间优化模型[J]. 交通运输研究. 2022, 8(1): 67-78 https://doi.org/10.16503/j.cnki.2095-9931.2022.01.008
CHEN Xiao-hong, LU Dong-qing, BAI Li-jun. Interval Optimization Model of Intersection Signal Timing Based on Order Relation[J]. Transport Research. 2022, 8(1): 67-78 https://doi.org/10.16503/j.cnki.2095-9931.2022.01.008

参考文献

[1]
王殿海, 蔡正义, 曾佳棋, 等. 城市交通控制中的数据采集研究综述[J]. 交通运输系统工程与信息, 2020,20(3):95-102.
[2]
CHIOU S W. A novel algorithm for area traffic capacity control with elastic travel demands[J]. Applied Mathmatical Modelling, 2010,35(2):650-666.
[3]
CHIOU S W. Optimization of robust area traffic control with equilibrium flow under demand uncertainty[J]. Computers & Operations Research, 2014,41(1):399-411.
[4]
HOU Z S, XIONG S T. On model-free adaptive control and its stability analysis[J]. IEEE Transactions on Automatic Control, 2019,64(11):4555-4569.
[5]
闫飞, 李浦, 续欣莹. 基于迭代学习与模型预测控制的交通信号混合控制方法[J]. 控制理论与应用, 2021,38(3):339-348.
[6]
杨庆芳, 赵小辉, 郑黎黎, 等. 基于模型预测控制的环形交叉口信号配时方法[J]. 浙江大学学报(工学版), 2018,52(1):117-124.
[7]
ZHAO S D, ZHANG K L. Online predictive connected and automated eco-driving on signalized arterial considering traffic control devices and road geometry constraints under uncertain traffic conditions[J]. Transportation Research Part B: Methodological, 2021,145:80-117.
[8]
YU C, FENG Y, LIU H X, et al. Integrated optimization of traffic signals and vehicle trajectories at isolated urban intersections[J]. Transportation Research Part B: Methodological, 2018,112:89-112.
[9]
LIANG X, GULER S I, GAYAH V V. An equitable traffic signal control scheme at isolated signalized intersections using connected vehicle technology[J]. Transportation Research Part C: Emerging Technologies, 2020,110(C):81-97.
[10]
刘佳佳, 左兴权. 交叉口交通信号灯的模糊控制及优化研究[J]. 系统仿真学报, 2020,32(12):2401-2408.
[11]
WADA K, USUI K, TAKIGAWA T, et al. An optimization modeling of coordinated traffic signal control based on the variational theory and its stochastic extension[J]. Transportation Research Part B: Methodological, 2017,117:907-925.
[12]
LI L, HUANG W, LO H K. Adaptive coordinated traffic control for stochastic demand[J]. Transportation Research Part C: Emerging Technologies, 2018,88:31-51.
[13]
YIN Y. Robust optimal traffic signal timing[J]. Transportation Research Part B: Methodological, 2008,42(10):911-924.
[14]
张萌萌, 贾磊, 邹难, 等. 单点交叉口鲁棒优化信号配时研究[J]. 公路交通科技, 2011,28(1):107-111.
[15]
HAN K, LIU H C, GAYAH V V, et al. A robust optimization approach for dynamic traffic signal control emission considerations[J]. Transportation Research Part C: Emerging Technologies, 2016,70:3-26.
[16]
赵靖, 陈凯佳, 周溪召. 出口道左转交叉口信号控制鲁棒优化方法[J]. 中国公路学报, 2020,33(7):145-155.
[17]
WU H C. On interval-valued nonlinear programming problems[J]. Journal of Mathematical Analysis and Applications, 2008,338(1):299-316.
[18]
姜潮, 韩旭, 谢慧超. 区间不确定性优化设计理论与方法[M]. 北京: 科学出版社, 2017.
[19]
QIU Z P, XIA H J. A novel interval linear programming based on probabilistic dominance[J/OL]. Fuzzy Sets and Systems, 2021. https://doi.org/10.1016/j.fss.2021.03.006.
[20]
卢凯, 吴焕, 杨兴, 等. 绿波协调控制方案的速度区间适应性分析与评价[J]. 华南理工大学学报(自然科学版), 2014,42(5):60-66,83.
[21]
李媛, 龚晓芳, 程延秋, 等. 车流随机性对协调系统控制效果的影响[J]. 长安大学学报(自然科学版), 2017,37(3):97-105.
[22]
陈小红, 张协奎, 陈诗淼. 信号交叉口周期时长区间决策模型[J]. 华南理工大学学报(自然科学版), 2018,46(4):44-50.
[23]
杨佩昆, 吴兵. 交通管理与控制[M]. 北京: 人民交通出版社, 2003.
[24]
胡启洲, 张卫华. 区间数理论的研究及其应用[M]. 北京: 科学出版社, 2010.

基金

国家自然科学基金项目(71861001)
中国博士后科学基金资助项目(2015M572417)
广西大学科研基金项目(XBZ130282)

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