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We study a combinatorial problem inspired by the following scenario: fully autonomous vehicles drive on a multi-lane ($m \geq 2$) road. Each vehicle heads to its own destination and is allowed to exit the road only through a single…

Multiagent Systems · Computer Science 2022-09-07 Dmitry Rabinovich , Alfred M. Bruckstein

A microscopic criterion for distinguishing synchronized flow and wide moving jam phases in single vehicle data measured at a single freeway location is presented. Empirical local congested traffic states in single vehicle data measured on…

Physics and Society · Physics 2009-11-11 Boris S. Kerner , Sergey L. Klenov , Andreas Hiller

We present an adaptive control scheme to enable the emergence of order within distributed, autonomous multi-agent systems. Past studies showed that under high-density conditions, order generated from traffic-following behavior reduces…

Multiagent Systems · Computer Science 2025-06-03 Anahita Jain , Husni Idris , John-Paul Clarke , Daniel Delahaye

Intersections are essential road infrastructures for traffic in modern metropolises. However, they can also be the bottleneck of traffic flows as a result of traffic incidents or the absence of traffic coordination mechanisms such as…

Machine Learning · Computer Science 2024-11-05 Dawei Wang , Weizi Li , Lei Zhu , Jia Pan

We propose a hybrid decision-making framework for safe and efficient autonomous driving of selfish vehicles on highways. Specifically, we model the dynamics of each vehicle as a Mixed-Logical-Dynamical system and propose simple driving…

Optimization and Control · Mathematics 2018-03-29 Filippo Fabiani , Sergio Grammatico

Weaving ramps are critical bottlenecks in highway networks due to conflicting traffic flows and complex interactions among heterogeneous vehicle types. In mixed-autonomy settings, the presence of controllable autonomous vehicles (AVs)…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Kexin Wang , Haohui He , Ruolin Li

Reaction delays are important in determining the qualitative dynamical properties of a platoon of vehicles traveling on a straight road. In this paper, we investigate the impact of delayed feedback on the dynamics of the Modified Optimal…

Systems and Control · Computer Science 2019-01-28 Gopal Krishna Kamath , Krishna Jagannathan , Gaurav Raina

We study traffic flow on roads with a localized periodic inhomogeneity such as traffic signals, using a stochastic car-following model. We find that in cases of congestion, traffic flow can be optimized by controlling the inhomogeneity's…

Statistical Mechanics · Physics 2007-05-23 Elad Tomer , Leonid Safonov , Nilly Madar , Shlomo Havlin

This paper focuses on the proof of the stability of entropy weak solutions of a nonlocal balance law modeling vehicular traffic flow on a road with on- and off-ramps. The stability is obtained with respect to a kernel function in the source…

Analysis of PDEs · Mathematics 2023-01-23 Felisia Angela Chiarello , Harold Deivi Contreras

In this work, we introduce a novel first-order nonlocal partial differential equation with saturated diffusion to describe the macroscopic behavior of traffic dynamics. We show how the proposed model is better in comparison with existing…

Optimization and Control · Mathematics 2025-04-02 Dawson Do , Hossein Nick Zinat Matin , Masuma Mollika Miti , Maria Laura Delle Monache

This paper presents a rigorous analytical model of traffic dynamics on a circular track, demonstrating the emergence of standing oscillations resulting from microscopic driver behaviour, delay responses, and proximity pressure. Without…

Adaptation and Self-Organizing Systems · Physics 2025-07-10 Craig S Wright

Traffic flow at low densities (free traffic) is characterized by a quasi-one-dimensional relation between traffic flow and vehicle density, while no such fundamental diagram exists for `synchronized' congested traffic flow. Instead, a…

Statistical Mechanics · Physics 2009-11-07 Dirk Helbing , Davide Batic , Martin Schoenhof , Martin Treiber

We develop a hierarchical description of traffic flow control by means of driver-assist vehicles aimed at the mitigation of speed-dependent road risk factors. Microscopic feedback control strategies are designed at the level of…

Physics and Society · Physics 2019-05-13 Andrea Tosin , Mattia Zanella

This paper introduces a novel control strategy to optimize urban network traffic in mixed autonomy settings, featuring Connected and Automated Vehicles (CAVs) alongside Human-Driven Vehicles (HDVs). Unlike previous control strategies, where…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Muhammad Haris , Claudio Roncoli

We propose a novel self-organized traffic management strategy for incidents in traffic-light-controlled road networks. During incidents, it regulates the inflow into already congested road segments by restricting or skipping green times.…

Physics and Society · Physics 2018-12-03 Markus Rausch , Stefan Lämmer , Martin Treiber

With the forecasted emergence of autonomous vehicles in urban traffic networks, new control policies are needed to leverage their potential for reducing congestion. While several efforts have studied the fully autonomous traffic control…

Optimization and Control · Mathematics 2019-11-12 David Rey , Michael W Levin

Optimizing traffic dynamics in an evolving transportation landscape is crucial, particularly in scenarios where autonomous vehicles (AVs) with varying levels of autonomy coexist with human-driven cars. While optimizing Reinforcement…

Delays endanger safety of autonomous systems operating in a rapidly changing environment, such as nondeterministic surrounding traffic participants in autonomous driving and high-speed racing. Unfortunately, delays are typically not…

Robotics · Computer Science 2022-08-31 Dvij Kalaria , Qin Lin , John M. Dolan

Traffic congestion has large economic and social costs. The introduction of autonomous vehicles can potentially reduce this congestion by increasing road capacity via vehicle platooning and by creating an avenue for influencing people's…

Multiagent Systems · Computer Science 2021-06-10 Erdem Bıyık , Daniel A. Lazar , Ramtin Pedarsani , Dorsa Sadigh

We investigate a class of nonlocal conservation laws with the nonlinear advection coupling both local and nonlocal mechanism, which arises in several applications such as the collective motion of cells and traffic flows. It is proved that…

Analysis of PDEs · Mathematics 2013-04-08 Yongki Lee , Hailiang Liu