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A new vehicular traffic flow model based on a stochastic jump process in vehicle acceleration and braking is introduced. It is based on a master equation for the single car probability density in space, velocity and acceleration with an…

Other Condensed Matter · Physics 2009-11-10 K. Thomas Waldeer

There have been several highway traffic models proposed based on cellular automata. The simplest one is elementary cellular automaton rule 184. We extend this model to city traffic with cellular automata coupled at intersections using only…

Cellular Automata and Lattice Gases · Physics 2011-09-06 Carlos Gershenson , David A. Rosenblueth

We present a microscopic driving algorithm that prescribes the acceleration using three parameters: the distance to the leading vehicle, to the next traffic light and to the nearest stopping point when the next traffic light is in the red…

Physics and Society · Physics 2021-04-16 Enrique Pazos

We propose a microscopic traffic model where the update velocity is determined by the deceleration capacity and response time. It is found that there is a class of collisions that cannot be distinguished by simply comparing the stop…

Statistical Mechanics · Physics 2015-05-15 Hyun Keun Lee , Jeenu Kim , Youngho Kim , Choong-Ki Lee

We present a new analytical description of the cellular automaton model for single-lane traffic. In contrast to previous approaches we do not use the occupation number of sites as dynamical variable but rather the distance between…

Statistical Mechanics · Physics 2009-10-28 Andreas Schadschneider , Michael Schreckenberg

We investigate the problem of coordinating human-driven vehicles in road intersections without any traffic lights or signs by issuing speed advices. The vehicles in the intersection are assumed to move along an a priori known path and to be…

Optimization and Control · Mathematics 2019-04-01 Alexander Katriniok , Stefan Kojchev , Erjen Lefeber , Henk Nijmeijer

We investigate a simple multisegment cellular automaton model of traffic flow. With the introduction of segment-dependent deceleration probability, metastable congested states in the intermediate density region emerge, and the initial state…

Physics and Society · Physics 2009-11-11 Yutaka Nishimura , Taksu Cheon , Petr Seba

Traffic models based on cellular automata have high computational efficiency because of their simplicity in describing unrealistic vehicular behavior and the versatility of cellular automata to be implemented on parallel processing. On the…

Multiagent Systems · Computer Science 2013-02-05 Emanuele Rodaro , Öznur Yeldan

In this paper we present a theoretical analysis of a recently proposed two-dimensional Cellular Automata model for traffic flow in cities with the novel ingredient of turning capability. Numerical simulations of this model show that there…

comp-gas · Physics 2009-10-22 J. M. Molera , F. C. Martinez , J. A. Cuesta , R. Brito

The anticipated launch of fully autonomous vehicles presents an opportunity to develop and implement novel traffic management systems. Intersections are one of the bottlenecks for urban traffic, and thus offer tremendous potential for…

Systems and Control · Electrical Eng. & Systems 2024-01-25 P. C. Joshi , M. A. A. Boon , S. C. Borst

Connected and automated vehicles have shown great potential in improving traffic mobility and reducing emissions, especially at unsignalized intersections. Previous research has shown that vehicle passing order is the key influencing factor…

Robotics · Computer Science 2022-04-29 Chaoyi Chen , Qing Xu , Mengchi Cai , Jiawei Wang , Jianqiang Wang , Biao Xu , Keqiang Li

We consider a mixed autonomy scenario where the traffic intersection controller decides whether the traffic light will be green or red at each lane for multiple traffic-light blocks. The objective of the traffic intersection controller is…

Systems and Control · Electrical Eng. & Systems 2021-06-25 Erica Salvato , Arnob Ghosh , Gianfranco Fenu , Thomas Parisini

We present in this article an algebraic approach to model and simulate road traffic networks. By defining a set of road traffic systems and adequate concatenating operators in that set, we show that large regular road networks can be easily…

Optimization and Control · Mathematics 2014-06-27 Nadir Farhi , Habib Haj-Salem , Jean-Patrick Lebacque

In the so-called "microscopic" models of vehicular traffic, attention is paid explicitly to each individual vehicle each of which is represented by a "particle"; the nature of the "interactions" among these particles is determined by the…

Statistical Mechanics · Physics 2009-10-31 Debashish Chowdhury , Ludger Santen , Andreas Schadschneider

This study addresses the challenge of estimating traffic states for road links. We propose an innovative approach that leverages partial trajectory data captured by camera-equipped probe vehicles traveling in the opposite lane. The…

Signal Processing · Electrical Eng. & Systems 2025-10-02 Tanay Rastogi , Michele D. Simoni , Anders Karlström

The control of traffic signals is crucial for improving transportation efficiency. Recently, learning-based methods, especially Deep Reinforcement Learning (DRL), garnered substantial success in the quest for more efficient traffic signal…

Artificial Intelligence · Computer Science 2025-06-18 Xiao-Cheng Liao , Yi Mei , Mengjie Zhang

This paper firstly show that a recent model (Tian et al., Transpn. Res. B 71, 138-157, 2015) is not able to well replicate the evolution concavity in traffic flow, i.e. the standard deviation of vehicles increases in a concave/linear way…

Cellular Automata and Lattice Gases · Physics 2015-07-16 Junfang Tian , Rui Jiang , Guangyu Li , Martin Treiber , Ning Jia , Shoufeng Ma

A uni-directional two-lane road is approximated by a set of two parallel closed one-dimensional chains. Two types of car i.e. slow and fast ones are considered in the system. Based on the Nagel-Schreckenberg (Na-Sch) model of traffic flow,…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand

We consider a transportation system of heterogeneously connected vehicles, where not all vehicles are able to communicate. Heterogeneous connectivity in transportation systems is coupled to practical constraints such that (i) not all…

Systems and Control · Computer Science 2016-08-29 Shanyu Zhou , Hulya Seferoglu

We present in this paper a method for the estimation of traffic state at road junctions controlled with traffic lights. We assume mixed traffic where a proportion of vehicles are equipped with communication resources. The estimation of road…

Systems and Control · Electrical Eng. & Systems 2022-09-01 Cyril Nguyen Van Phu , Nadir Farhi