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This paper presents two one-dimensional mathematical models describing automobile traffic flow on straight road segments at a signalized intersection. When the traffic light is permissive, the flow density and velocity are obtained by…

Analysis of PDEs · Mathematics 2026-04-29 Akbota Senkebayeva

Traffic signal control is of critical importance for the effective use of transportation infrastructures. The rapid increase of vehicle traffic and changes in traffic patterns make traffic signal control more and more challenging.…

Machine Learning · Computer Science 2021-12-08 Xingshuai Huang , Di Wu , Michael Jenkin , Benoit Boulet

Accurate prediction of traffic signal duration for roadway junction is a challenging problem due to the dynamic nature of traffic flows. Though supervised learning can be used, parameters may vary across roadway junctions. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2018-11-26 Santhosh Kelathodi Kumaran , Debi Prosad Dogra , Partha Pratim Roy

Existing inefficient traffic light control causes numerous problems, such as long delay and waste of energy. To improve efficiency, taking real-time traffic information as an input and dynamically adjusting the traffic light duration…

Machine Learning · Computer Science 2019-02-19 Xiaoyuan Liang , Xunsheng Du , Guiling Wang , Zhu Han

Within the framework of a simple model of car traffic on a one-lane highway, we study the probability for car accidents to occur when drivers do not respect the safety distance between cars, and, as a result of the blockage during the time…

adap-org · Physics 2009-10-30 N. Boccara , H. Fuks , Q. Zeng

When a new vehicle joins a lane, those behind may have to temporarily slow to accommodate them. Changing lane can be forced due to lane drops or junctions, but may also take place spontaneously at discretion of drivers, and recent studies…

Physics and Society · Physics 2023-08-15 Jeremy Worsfold , Tim Rogers

We give a rigorous solution of an optimisation problem of minimizing the expected delay caused by encountering a red traffic light on a road journey. The problem incorporates simple constraints on maximum speed, acceleration and braking…

Optimization and Control · Mathematics 2025-12-03 Márton Balázs , Edward Crane , Alexander Tallis

This paper has studied the minimum traffic delay at a two-phase intersection, taking into account the dynamical evolution process of queues. The feature of delay function has been studied, which indicates that the minimum traffic delay must…

Physics and Society · Physics 2016-09-21 Hong-Ze Zhang , Rui Jiang , Mao-Bin Hu , Bin Jia

Traffic signal control has a great impact on alleviating traffic congestion in modern cities. Deep reinforcement learning (RL) has been widely used for this task in recent years, demonstrating promising performance but also facing many…

Artificial Intelligence · Computer Science 2024-04-02 Liwen Zhu , Peixi Peng , Zongqing Lu , Yonghong Tian

Experimental studies on vehicular traffic provide data on quantities like density, flux, and mean speed of the vehicles. However, the diagrams relating these variables (the fundamental and speed diagrams) show some peculiarities not yet…

Numerical Analysis · Mathematics 2016-03-01 Gabriella Puppo , Matteo Semplice , Andrea Tosin , Giuseppe Visconti

Modeling mixed-traffic motion and interactions is crucial to assess safety, efficiency, and feasibility of future urban areas. The lack of traffic regulations, diverse transport modes, and the dynamic nature of mixed-traffic zones like…

Artificial Intelligence · Computer Science 2021-01-19 Fatema T. Johora , Dongfang Yang , Jörg P. Müller , Ümit Özgüner

Real-time traffic light recognition is essential for autonomous driving. Yet, a cohesive overview of the underlying model architectures for this task is currently missing. In this work, we conduct a comprehensive survey and analysis of…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Svetlana Pavlitska , Nico Lambing , Ashok Kumar Bangaru , J. Marius Zöllner

Self-similarity, a fractal characteristic of traffic flow dynamics, is widely recognized in transportation engineering and physics. However, its practical application in real-world traffic scenarios remains limited. Conversely, the traffic…

Signal Processing · Electrical Eng. & Systems 2024-08-05 Shakib Mustavee , Shaurya Agarwal

At an unmanaged intersection, it is important to understand how much traffic delay may be caused as a result of microscopic vehicle interactions. Conventional traffic simulations that explicitly track these interactions are time-consuming.…

Multiagent Systems · Computer Science 2018-06-08 Changliu Liu , Mykel J. Kochenderfer

Urban traffic congestion presents a significant challenge for modern cities, which impacts mobility and sustainability. Traditional traffic light control systems often fail to adapt to dynamic conditions, leading to inefficiencies. This…

Machine Learning · Computer Science 2026-05-12 Matteo Cederle , Giacomo Scatto , Gian Antonio Susto

In the Biham-Middleton-Levine traffic model cars are placed with some density p on a two dimensional torus, and move according to a (simple) set of predefined rules. Computer simulations show this system exhibits many interesting phenomena:…

Probability · Mathematics 2007-09-11 Itai Benjamini , Ori Gurel-Gurevich , Roey Izkovsky

A simple algorithm for constructing an effective traffic model is presented. The algorithm uses statistically well-defined quantities extracted from the flow-density plot, and the resulting effective model naturally captures and predicts…

Adaptation and Self-Organizing Systems · Physics 2014-12-16 Bo Yang , Christopher Monterola

We present a fluid-dynamic model for the simulation of urban traffic networks with road sections of different lengths and capacities. The model allows one to efficiently simulate the transitions between free and congested traffic, taking…

Popular Physics · Physics 2007-05-23 Dirk Helbing , Stefan Lämmer , Jean-Patrick Lebacque

Traffic Intersections are vital to urban road networks as they regulate the movement of people and goods. However, they are regions of conflicting trajectories and are prone to accidents. Deep Generative models of traffic dynamics at…

Artificial Intelligence · Computer Science 2025-06-11 Yash Ranjan , Rahul Sengupta , Anand Rangarajan , Sanjay Ranka

The slow-to-start mechanism is known to play an important role in the particular shape of the Fundamental diagram of traffic and to be associated to hysteresis effects of traffic flow.We study this question in the context of exclusion and…

Statistical Mechanics · Physics 2015-05-30 Cyril Furtlehner , Jean-Marc Lasgouttes , Maxim Samsonov