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In this paper we propose coupling conditions for a kinetic two velocity model for vehicular traffic for junctions with diverging lanes. We consider cases with and without directional preferences and present corresponding kinetic coupling…

Analysis of PDEs · Mathematics 2020-04-01 Raul Borsche , Axel Klar

The basic properties of traffic flow are analyzed using a simple deterministic one dimensional "car following model" with continuous variables based on a model introduced by Nagel and Herrmann [Physica A 199 254--269 (1993)] including a few…

Statistical Mechanics · Physics 2007-05-23 G. Sauermann , H. J. Herrmann

We describe traffic flows in one lane roadways using kinetic theory, with special emphasis on the role of quenched randomness in the velocity distributions. When passing is forbidden, growing clusters are formed behind slow cars and the…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

Traffic congestion has long been an ubiquitous problem that is exacerbating with the rapid growth of megacities. In this proof-of-concept work we study intrinsic motivation, implemented via the empowerment principle, to control autonomous…

Physics and Society · Physics 2025-05-20 Himaja Papala , Daniel Polani , Stas Tiomkin

We have developed a Nagel-Schreckenberg cellular automata model for describing of vehicular traffic flow at a single intersection. A set of traffic lights operating in fixed-time scheme controls the traffic flow. Open boundary condition is…

Physics and Society · Physics 2011-05-10 M. Ebrahim Foulaadvand , Somayyeh Belbasi

Road network junctions, such as merges and diverges, often act as bottlenecks that initiate and exacerbate congestion. More complex junction configurations lead to more complex driver behaviors, resulting in aggregate congestion patterns…

Computer Science and Game Theory · Computer Science 2019-04-18 Ruolin Li , Negar Mehr , Roberto Horowitz

Lane changing dynamics are an important part of traffic microsimulation and are vital for modeling weaving sections and merge bottlenecks. However, there is often much more emphasis placed on car following and gap acceptance models, whereas…

Systems and Control · Computer Science 2023-08-01 Ronan Keane , H. Oliver Gao

We generalize a recently introduced traffic model, where the statistical weights are associated with whole trajectories, to the case of two-way flow. An interaction between the two lanes is included which describes a slowing down when two…

Statistical Mechanics · Physics 2009-10-31 Vladislav Popkov , Ingo Peschel

Merging in the form of a mandatory lane-change is an important issue in transportation research. Even when safely completed, merging may disturb the mainline traffic and reduce the efficiency or capacity of the roadway. In this paper, we…

Computer Science and Game Theory · Computer Science 2020-03-24 Jehong Yoo , Reza Langari

In this paper, a new model for traffic on roads with multiple lanes is developed, where the vehicles do not adhere to a lane discipline. Assuming identical vehicles, the dynamics is split along two independent directions: the Y-axis…

Systems and Control · Computer Science 2023-03-02 Rakesh U. Chavan , Debraj Chakraborty , D. Manjunath

The Nagel-Schreckenberg model is a stochastic one-dimensional traffic model. In this assignment, we guide students through the process of implementing a shared-memory parallel and reproducible version of an existing serial code that…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-26 Ramses van Zon , Marcelo Ponce

Conditions for the occurrence of bidirectional collisions are developed based on the Simon-Gutowitz bidirectional traffic model. Three types of dangerous situations can occur in this model. We analyze those corresponding to head-on…

Physics and Society · Physics 2015-05-13 Najem Moussa

We investigate a driven two-channel system where particles on different lanes mutually obstruct each others motion extending an earlier model by Popkov and Peschel [1]. This obstruction may occur in biological contexts due to steric…

Biological Physics · Physics 2015-03-13 Anna Melbinger , Tobias Reichenbach , Thomas Franosch , Erwin Frey

On the basis of assumptions about the behavior of driver-vehicle units concerning acceleration, deceleration, overtaking, and lane-changing maneuvers, a gas-kinetic traffic model for uni-directional multi-lane freeways is constructed.…

Statistical Mechanics · Physics 2015-06-25 Dirk Helbing

We have developed a modified Nagel-Schreckenberg cellular automata model for describing a conflicting vehicular traffic flow at the intersection of two streets. No traffic lights control the traffic flow. The approaching cars to the…

Physics and Society · Physics 2009-11-13 M. Ebrahim Foulaadvand , Sommayeh Belbasi

Technological advancements focus on developing comfortable and acceptable driving characteristics in autonomous vehicles. Present driving functions predominantly possess predefined parameters, and there is no universally accepted driving…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Johann Haselberger , Maximilian Böhle , Bernhard Schick , Steffen Müller

We investigate characteristic properties of the congested traffic states on a 30 km long stretch of the German freeway A5 north of Frankfurt/Main. Among the approximately 245 breakdowns of traffic flow in 165 days, we have identified five…

Statistical Mechanics · Physics 2007-05-23 Martin Schoenhof , Dirk Helbing

The Logit lane assignment model has been introduced recently in order to describe multi-lane traffic flow from a macroscopic point of view. The model is based on the idea that each available lane has a specific utility for each driver, who…

Frequent lane-changes in highway merging, diverging, and weaving areas could disrupt traffic flow and, even worse, lead to accidents. In this paper, we propose a simple model for studying bottleneck effects of lane-changing traffic and…

Dynamical Systems · Mathematics 2010-04-14 Wen-Long Jin

Multi-lane roads are typical scenarios in the real-world traffic system. Vehicles usually have preference on lanes according to their routes and destinations. Few of the existing studies looks into the problem of controlling vehicles to…

Robotics · Computer Science 2021-06-23 Mengchi Cai , Chaoyi Chen , Jiawei Wang , Qing Xu , Keqiang Li , Jianqiang Wang , Xiangbin Wu