基于宏观基本图的快速路多瓶颈与衔接路网优化控制方法

doi:10.16097/j.cnki.1009-6744.2026.04.016

交通运输系统工程与信息 ›› 2026, Vol. 26 ›› Issue (4): 188-201.DOI: 10.16097/j.cnki.1009-6744.2026.04.016

• 智能交通系统与信息技术 • 上一篇下一篇

基于宏观基本图的快速路多瓶颈与衔接路网优化控制方法

何子昂¹，韩雨^*2，俞灏²，赵佳慧²，朱顺应³

1. 武汉科技大学，汽车与交通工程学院，武汉 430065；2. 东南大学，交通学院，南京 211189； 3. 武汉理工大学，交通与物流工程学院，武汉 430063

收稿日期:2026-02-18 修回日期:2026-04-25 接受日期:2026-06-21 出版日期:2026-08-25 发布日期:2026-08-21
作者简介:何子昂（1991— ），男，湖北天门人，讲师，博士
基金资助:
湖北省技术创新计划项目 (2024BAB083)；国家自然科学基金 (72571121)

Macroscopic Fundamental Diagram-based Optimization Control for a Multi-bottleneck Expressway and Joint Networks

HE Zi'ang¹, HAN Yu^*2, YU Hao², ZHAO Jiahui², ZHU Shunying³

1. School of Automobile and Traffic Engineering, Wuhan University of Science and Technology, Wuhan 430065, China; 2. School of Transportation, Southeast University, Nanjing 211189, China; 3. School of Transportation and Logistics Engineering, Wuhan University of Technology, Wuhan 430063, China

Received:2026-02-18 Revised:2026-04-25 Accepted:2026-06-21 Online:2026-08-25 Published:2026-08-21
Supported by:
Hubei Provincial Technical Innovation Project (2024BAB083); National Natural Science Foundation of China (72571121)

摘要/Abstract

摘要： 针对由快速路多瓶颈及衔接城市路网构成的混合路网，为解决此类大范围优化控制中计算耗时过长的问题，本文构建兼顾控制性能与计算成本的交通控制协同优化方法。该方法对现有交通流模型的改进包括：在混合路网的两类组成路网中同步引入宏观基本图（MFD）模型；在多区域城市路网交通流模型中，考虑入口匝道长度不足且依赖上游交叉口实施控制的复杂场景，同时，将边界排队因素纳入各城市路网单元的MFD。将改进后的交通流模型作为模型预测控制（MPC）的预测模型，以系统总行程时间（TTS）最小化为优化目标，求解快速路主线整体及各城市路网的边界总进入流量；进而依据局部状态反馈，由各边界总流量分配得到各控制路段流量。仿真结果表明：由于引入边界排队因素，所提出的优化控制方法减小了预测模型与仿真模型之间的偏差，控制效果优于现有方法，且能逼近理论最优控制方法的控制性能；同时，由于全局采用MFD建模，显著缩短了计算时间，满足实时控制需求。控制排队空间充足时，所提出的优化控制方法较无控制场景降低TTS达8.6%；排队空间受限时，TTS降幅为7.3%。

关键词: 城市交通, 路网协同控制, 边界控制, 城市混合路网, 宏观基本图(MFD)

Abstract: To improve the computational time in optimal control for a large-scale mixed road network which consists of a multi-bottleneck expressway and joint urban networks, this paper develops a coordinated optimization method that balances control performance and computational cost. The proposed method extends the existing traffic flow model in the following aspects: (a) the Macroscopic Fundamental Diagram (MFD) model is jointly introduced for both the expressway and urban components of the mixed network; (b) the traffic flow model of multi-region urban networks accounts for complex scenarios where on-ramps have insufficient storage capacity and must relyon upstream urban intersections for control, while incorporating the factor of cordon queues into each network reservoir MFD. The extended traffic model serves as the prediction model within the Model Predictive Control (MPC) framework, with the optimization objective of minimizing the Total Time Spent (TTS) in the system. This enables real-time solution of the total perimeter inflows for the expressway stretch and each urban network. Based on local state feedback, each total perimeter inflow is allocated to individual controlled perimeter links. Simulation results indicate that, by incorporating cordon queues, the proposed method effectively reduces the mismatch between the prediction model and the simulation model, thereby achieving control performance superior to existing related methods and approaching that of the theoretically optimal control method. Leveraging MFD-based modeling for both components of the mixed network, the proposed method significantly shortens computational time and meets real-time control requirements. Specifically, when queue storage space is sufficient, the proposed optimization-based control method reduces the TTS by 8.6% compared to the no-control scenario; under limited queue storage space, the TTS reduction is 7.3%.

Key words: urban transportation, coordinated control of road network, perimeter control, urban mixed network, macroscopic fundamental diagram (MFD)

中图分类号:

U121

何子昂, 韩雨, 俞灏, 赵佳慧, 朱顺应. 基于宏观基本图的快速路多瓶颈与衔接路网优化控制方法[J]. 交通运输系统工程与信息, 2026, 26(4): 188-201.

HE Zi'ang, HAN Yu, YU Hao, ZHAO Jiahui, ZHU Shunying. Macroscopic Fundamental Diagram-based Optimization Control for a Multi-bottleneck Expressway and Joint Networks[J]. Journal of Transportation Systems Engineering and Information Technology, 2026, 26(4): 188-201.

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http://www.tseit.org.cn/CN/Y2026/V26/I4/188

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基于宏观基本图的快速路多瓶颈与衔接路网优化控制方法

Macroscopic Fundamental Diagram-based Optimization Control for a Multi-bottleneck Expressway and Joint Networks

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