Destroying Phantom Jams with Connectivity and Automation: Nonlinear Dynamics and Control of Mixed Traffic

IF 4.4 2区工程技术 Q1 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Transportation Science Pub Date : 2024-07-24 DOI:10.1287/trsc.2023.0498

Tamas G. Molnar, Gábor Orosz

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引用次数: 0

Abstract

Connected automated vehicles (CAVs) have the potential to improve the efficiency of vehicular traffic. In this paper, we discuss how CAVs can positively impact the dynamic behavior of mixed traffic systems on highways through the lens of nonlinear dynamics theory. First, we show that human-driven traffic exhibits a bistability phenomenon, in which the same drivers can both drive smoothly or cause congestion, depending on perturbations like a braking of an individual driver. As such, bistability can lead to unexpected phantom traffic jams, which are undesired. By analyzing the corresponding nonlinear dynamical model, we explain the mechanism of bistability and identify which human driver parameters may cause it. Second, we study mixed traffic that includes both human drivers and CAVs, and we analyze how CAVs affect the nonlinear dynamic behavior. We show that a large-enough penetration of CAVs in the traffic flow can eliminate bistability, and we identify the controller parameters of CAVs that are able to do so. Ultimately, this helps to achieve stable and smooth mobility on highways.History: This paper has been accepted for the Transportation Science Special Issue on ISTTT25 Conference.Funding: This work was supported by the University of Michigan’s Center for Connected and Automated Transportation [U.S. DOT Grant 69A3551747105].Supplemental Material: The online appendix is available at https://doi.org/10.1287/trsc.2023.0498 .

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用连通性和自动化摧毁 "幽灵堵车"：混合交通的非线性动力学与控制

互联自动驾驶汽车（CAV）具有提高车辆交通效率的潜力。在本文中，我们将从非线性动力学理论的角度讨论 CAV 如何对高速公路混合交通系统的动态行为产生积极影响。首先，我们展示了人类驱动的交通表现出的双稳态现象，即同一驾驶员既可以平稳驾驶，也可以造成拥堵，这取决于单个驾驶员的制动等扰动因素。因此，双稳态现象可能会导致意想不到的幽灵交通堵塞，这是不希望看到的。通过分析相应的非线性动力学模型，我们解释了双稳态的机理，并确定了哪些人类驾驶员参数可能会导致双稳态。其次，我们研究了包括人类驾驶员和 CAV 的混合交通，并分析了 CAV 如何影响非线性动态行为。我们证明，CAV 在交通流中足够大的渗透率可以消除双稳态，并确定了能够消除双稳态的 CAV 控制参数。最终，这将有助于实现高速公路上稳定顺畅的交通：本文已被 ISTTT25 会议交通科学专刊录用：这项工作得到了密歇根大学互联与自动驾驶交通中心的支持[美国交通部拨款 69A3551747105]：在线附录请访问 https://doi.org/10.1287/trsc.2023.0498 。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Transportation Science 工程技术-运筹学与管理科学

CiteScore

8.30

自引率

10.90%

发文量

111

审稿时长

12 months

期刊介绍： Transportation Science, published quarterly by INFORMS, is the flagship journal of the Transportation Science and Logistics Society of INFORMS. As the foremost scientific journal in the cross-disciplinary operational research field of transportation analysis, Transportation Science publishes high-quality original contributions and surveys on phenomena associated with all modes of transportation, present and prospective, including mainly all levels of planning, design, economic, operational, and social aspects. Transportation Science focuses primarily on fundamental theories, coupled with observational and experimental studies of transportation and logistics phenomena and processes, mathematical models, advanced methodologies and novel applications in transportation and logistics systems analysis, planning and design. The journal covers a broad range of topics that include vehicular and human traffic flow theories, models and their application to traffic operations and management, strategic, tactical, and operational planning of transportation and logistics systems; performance analysis methods and system design and optimization; theories and analysis methods for network and spatial activity interaction, equilibrium and dynamics; economics of transportation system supply and evaluation; methodologies for analysis of transportation user behavior and the demand for transportation and logistics services. Transportation Science is international in scope, with editors from nations around the globe. The editorial board reflects the diverse interdisciplinary interests of the transportation science and logistics community, with members that hold primary affiliations in engineering (civil, industrial, and aeronautical), physics, economics, applied mathematics, and business.