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Connected and automated vehicles (CAVs) technologies promise to attenuate undesired traffic disturbances. However, in mixed traffic where human-driven vehicles (HDVs) also exist, the nonlinear human-driving behavior has brought critical…

Systems and Control · Electrical Eng. & Systems 2023-09-19 Jie Li , Jiawei Wang , Shengbo Eben Li , Keqiang Li

Connected and autonomous vehicles (CAVs) have great potential to improve road transportation systems. Most existing strategies for CAVs' longitudinal control focus on downstream traffic conditions, but neglect the impact of CAVs' behaviors…

Systems and Control · Electrical Eng. & Systems 2022-02-07 Jiawei Wang , Yang Zheng , Chaoyi Chen , Qing Xu , Keqiang Li

This paper develops boundary observer for estimation of congested freeway traffic states based on Aw-Rascle-Zhang(ARZ) partial differential equations (PDE) model. Traffic state estimation refers to acquisition of traffic state information…

Optimization and Control · Mathematics 2019-05-01 Huan Yu , Alexandre M. Bayen , Miroslav Krstic

Safe and smooth interacting with other vehicles is one of the ultimate goals of driving automation. However, recent reports of demonstrative deployments of automated vehicles (AVs) indicate that AVs are still difficult to meet the…

Systems and Control · Electrical Eng. & Systems 2022-05-11 Daofei Li , Ao Liu , Hao Pan , Wentao Chen

Exact mean field equations are derived analytically to give the fundamental diagrams, i.e., the average speed - car density relations, for the Fukui-Ishibashi one-dimensional traffic flow cellular automaton model of high speed vehicles…

Condensed Matter · Physics 2009-10-31 Bing-Hong Wang , Lei Wang , P. M. Hui , Bambi Hu

Traffic flow modeling spans a wide range of mathematical approaches, from microscopic descriptions of individual vehicle dynamics to macroscopic models based on aggregate quantities. A fundamental challenge in macroscopic modeling lies in…

Optimization and Control · Mathematics 2025-12-18 Stephan Gerster , Giuseppe Visconti

Traffic congestion is a major challenge in modern urban settings. The industry-wide development of autonomous and automated vehicles (AVs) motivates the question of how can AVs contribute to congestion reduction. Past research has shown…

Artificial Intelligence · Computer Science 2022-07-08 Jiaxun Cui , William Macke , Harel Yedidsion , Daniel Urieli , Peter Stone

The erratic nature of human driving tends to trigger undesired waves that amplify as successive driver reactions propagate from the errant vehicle to vehicles upstream. Known as phantom jams, this phenomenon has been identified in the…

Systems and Control · Electrical Eng. & Systems 2020-08-19 Yujie Li , Sikai Chen , Paul Young Joun Ha , Jiqian Dong , Aaron Steinfeld , Samuel Labi

Connected automated vehicles (CAVs) have shown great potential in improving traffic throughput and stability. Although various longitudinal control strategies have been developed for CAVs to achieve string stability in mixed-autonomy…

Systems and Control · Electrical Eng. & Systems 2023-10-09 Huan Yu , Chenguang Zhao , Tamas G. Molnar

We propose a model describing the traffic flow on a road with variable widths in this paper. The model, which is modified the Aw-Rascle model, is not conservative because of the source term. We obtain the elementary waves of the new traffic…

Analysis of PDEs · Mathematics 2021-08-16 Wancheng Sheng , Qinglong Zhang

In order to enable autonomous vehicles (AV) to navigate busy traffic situations, in recent years there has been a focus on game-theoretic models for strategic behavior planning in AVs. However, a lack of common taxonomy impedes a broader…

Artificial Intelligence · Computer Science 2021-09-30 Atrisha Sarkar , Kate Larson , Krzysztof Czarnecki

This paper presents an analytical approximation framework to understand the dynamics of traffic wave propagation for Automated Vehicles (AVs) during traffic oscillations. The framework systematically unravels the intricate relationships…

Systems and Control · Electrical Eng. & Systems 2024-11-27 Yang Zhou , Sixu Li , Wissam Kontar , Fan Pu , Anupam Srivastava , Soyoung Ahn

Microscopic traffic simulation provides a controllable, repeatable, and efficient testing environment for autonomous vehicles (AVs). To evaluate AVs' safety performance unbiasedly, the probability distributions of environment statistics in…

Systems and Control · Electrical Eng. & Systems 2022-07-05 Xintao Yan , Shuo Feng , Haowei Sun , Henry X. Liu

Control of mixed-autonomy traffic where Human-driven Vehicles (HVs) and Autonomous Vehicles (AVs) coexist on the road has gained increasing attention over the recent decades. This paper addresses the boundary stabilization problem for mixed…

Analysis of PDEs · Mathematics 2024-06-26 Yihuai Zhang , Huan Yu , Jean Auriol , Mike Pereira

Automated vehicles (AVs) are expected to increase traffic safety and traffic efficiency, among others by enabling flexible mobility-on-demand systems. This is particularly important in Singapore, being one of the world's most densely…

Robotics · Computer Science 2021-12-20 J. Ploeg , E. de Gelder , M. Slavík , E. Querner , T. Webster , N. de Boer

Autonomous vehicles (AVs), possibly using Multi-Agent Reinforcement Learning (MARL) for simultaneous route optimization, may destabilize traffic networks, with human drivers potentially experiencing longer travel times. We study this…

Multiagent Systems · Computer Science 2025-06-17 Anastasia Psarou , Ahmet Onur Akman , Łukasz Gorczyca , Michał Hoffmann , Grzegorz Jamróz , Rafał Kucharski

Autonomous vehicles (AVs) are inevitably entering our lives with potential benefits for improved traffic safety, mobility, and accessibility. However, AVs' benefits also introduce a serious potential challenge, in the form of complex…

Computer Science and Game Theory · Computer Science 2020-09-08 Xuan Di , Xu Chen , Eric Talley

The recent emergence of navigational tools has changed traffic patterns and has now enabled new types of congestion-aware routing control like dynamic road pricing. Using the fundamental diagram of traffic flows - applied in macroscopic and…

Modeling heterogeneous and multi-lane traffic flow is essential for understanding and controlling complex transportation systems. In this work, we consider three vehicle populations: two classes of human-driven vehicles (cars and trucks)…

Optimization and Control · Mathematics 2025-10-17 Maria Teresa Chiri , Christopher Denaro , Xiaoqian Gong , Benedetto Piccoli

In most modern cities, traffic congestion is one of the most salient societal challenges. Past research has shown that inserting a limited number of autonomous vehicles (AVs) within the traffic flow, with driving policies learned…

Artificial Intelligence · Computer Science 2023-01-26 Yulin Zhang , William Macke , Jiaxun Cui , Daniel Urieli , Peter Stone