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Semi-autonomous driving, as it is already available today and will eventually become even more accessible, implies the need for driver and automation system to reliably work together in order to ensure safe driving. A particular challenge…

Artificial Intelligence · Computer Science 2023-08-31 Jakob Suchan , Jan-Patrick Osterloh

Traffic microscopic simulation applications are a common tool in road transportation analysis and several attempts to perform road safety assessments have recently been carried out. However, these approaches often ignore causal…

Computational Engineering, Finance, and Science · Computer Science 2018-10-12 Carlos Lima Azevedo , João L. Cardoso , Moshe E. Ben-Akiva

We propose an approach to simulating trajectories of multiple interacting agents (road users) based on transformers and probabilistic graphical models (PGMs), and apply it to the Waymo SimAgents challenge. The transformer baseline is based…

Machine Learning · Computer Science 2024-07-01 Xinghua Lou , Meet Dave , Shrinu Kushagra , Miguel Lazaro-Gredilla , Kevin Murphy

Ensuring the functional correctness and safety of autonomous vehicles is a major challenge for the automotive industry. However, exhaustive physical test drives are not feasible, as billions of driven kilometers would be required to obtain…

Software Engineering · Computer Science 2021-02-09 Barbara Schuett , Thilo Braun , Stefan Otten , Eric Sax

The fundamental diagram (FD), also known as the flow--density relation, is one of the most fundamental concepts in the traffic flow theory. It describes the relation between equilibrated flow, density, and speed in traffic flow.…

Fluid Dynamics · Physics 2019-02-12 Toru Seo , Yutaka Kawasaki , Takahiko Kusakabe , Yasuo Asakura

The efficiency of traffic flows in urban areas is known to crucially depend on signal operation. Here, elements of signal control are discussed, based on the minimization of overall travel times or vehicle queues. Interestingly, we find…

Physics and Society · Physics 2015-05-13 Dirk Helbing , Amin Mazloumian

Traffic signal control is a critical task in intelligent transportation systems, yet conventional fixed-time and rule-based methods often struggle to adapt to dynamic traffic demand and provide limited decision interpretability. This study…

Artificial Intelligence · Computer Science 2026-04-28 Jiazhao Shi

Traffic signal control is an emerging application scenario for reinforcement learning. Besides being as an important problem that affects people's daily life in commuting, traffic signal control poses its unique challenges for reinforcement…

Multiagent Systems · Computer Science 2019-05-15 Huichu Zhang , Siyuan Feng , Chang Liu , Yaoyao Ding , Yichen Zhu , Zihan Zhou , Weinan Zhang , Yong Yu , Haiming Jin , Zhenhui Li

We consider the problem of estimating the parameters of a vehicle dynamics model for predictive control in driving applications. Instead of solely using the instantaneous parameters estimated from the vehicle signals, we combine this with…

Systems and Control · Electrical Eng. & Systems 2025-11-17 Marcus Greiff , Ray Zhang , Takeru Shirasawa , John Subosits

Verification and validation of automated driving functions impose large challenges. Currently, scenario-based approaches are investigated in research and industry, aiming at a reduction of testing efforts by specifying safety relevant…

We develop a discrete Boltzmann-type model that uses dynamics in phase space to describe the behavior of traffic flows. Firstly, we model the traffic flow at mesoscopic scale using dynamics in phase space, which is considered as an…

Cellular Automata and Lattice Gases · Physics 2023-11-27 Zhizhen Zhang , Changhong Lu

Ensuring the safety of road vehicles at an acceptable level requires the absence of any unreasonable risk arising from all potential hazards linked to the intended au-tomated driving function and its implementation. The assurance that there…

Robotics · Computer Science 2025-05-28 Christian Reichenbächer , Jochen Hipp , Oliver Bringmann

Urban road transport is a major civilisational and economic challenge, affecting the quality of life and economic activity. Addressing these challenges requires a multidisciplinary approach and sustainable urban planning strategies to…

Analysis of PDEs · Mathematics 2026-05-20 Mauritz N. Cartier van Dissel , Paweł Gora , Dragoş Manea

For autonomous vehicles, safe navigation in complex environments depends on handling a broad range of diverse and rare driving scenarios. Simulation- and scenario-based testing have emerged as key approaches to development and validation of…

A most important aspect in the field of traffic modeling is the simulation of bottleneck situations. For their realistic description a macroscopic multi-lane model for uni-directional freeways including acceleration, deceleration, velocity…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing

Traffic on a circular road is described by dynamic programming equations associated to optimal control problems. By solving the equations analytically, we derive the relation between the average car density and the average car flow, known…

Optimization and Control · Mathematics 2010-02-11 Nadir Farhi

Representing relevant information of a traffic scene and understanding its environment is crucial for the success of autonomous driving. Modeling the surrounding of an autonomous car using semantic relations, i.e., how different traffic…

Artificial Intelligence · Computer Science 2022-12-07 Maximilian Zipfl , Felix Hertlein , Achim Rettinger , Steffen Thoma , Lavdim Halilaj , Juergen Luettin , Stefan Schmid , Cory Henson

While bringing convenience to people, the growing number of vehicles on road already cause inevitable traffic congestion. Some traffic congestion happen with observable reasons, but others occur without apparent reasons or bottlenecks,…

Systems and Control · Electrical Eng. & Systems 2021-12-30 Jiancheng Fang , Yu Xiang , Yu Huang , Yilong Cui , Wenyong Wang

By interpreting a traffic scene as a graph of interacting vehicles, we gain a flexible abstract representation which allows us to apply Graph Neural Network (GNN) models for traffic prediction. These naturally take interaction between…

Machine Learning · Computer Science 2019-05-08 Frederik Diehl , Thomas Brunner , Michael Truong Le , Alois Knoll

This paper studies the traffic state estimation problem at signalized intersections with low penetration rate vehicle trajectory data. While many existing studies have proposed different methods to estimate unknown traffic states and…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Xingmin Wang , Zihao Wang , Zachary Jerome , Henry X. Liu