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It is shown that the desire for smooth and comfortable driving is directly responsible for the occurrence of complex spatio-temporal structures (``synchronized traffic'') in highway traffic. This desire goes beyond the avoidance of…

Statistical Mechanics · Physics 2009-11-07 Wolfgang Knospe , Ludger Santen , Andreas Schadschneider , Michael Schreckenberg

The collision-free velocity model is a microscopic pedestrian model, which despite its simplicity, reproduces fairly well several self-organization phenomena in pedestrian dynamics. The model consists of two components: a direction…

Physics and Society · Physics 2019-10-02 Qiancheng Xu , Mohcine Chraibi , Antoine Tordeux , Jun Zhang

In the setting of a recently developed cellular stochastic traffic flow model, it has shown that the joint per-cell vehicle densities, as a function of time, can be accurately approximated by a Gaussian process, which has the attractive…

Optimization and Control · Mathematics 2020-07-16 Michel Mandjes , Jaap Storm

While many classical traffic models treat the spatial extension of streets continuously or by discretization into cells of a certain length, we will subdivide roads into comparatively long homogeneous road sections of constant capacity with…

Statistical Mechanics · Physics 2009-11-10 Dirk Helbing

To help mitigate road congestion caused by the unrelenting growth of traffic demand, many transportation authorities have implemented managed lane policies, which restrict certain freeway lanes to certain types of vehicles. It was…

Systems and Control · Computer Science 2018-11-16 Matthew A. Wright , Roberto Horowitz , Alex A. Kurzhanskiy

We present a methodology of cooperative driving in vehicular traffic, in which for short-time traffic prediction rather than one of the statistical approaches of artificial intelligence (AI), we follow a qualitative different microscopic…

Physics and Society · Physics 2024-04-17 Boris S. Kerner , Sergey L. Klenov , Vincent Wiering , Michael Schreckenberg

Cycling is a green transportation mode, and is promoted by many governments to mitigate traffic congestion. However, studies concerning the traffic dynamics of bicycle flow are very limited. This study experimentally investigated bicycle…

Adaptation and Self-Organizing Systems · Physics 2019-04-15 Ning Guo , Rui Jiang , SC Wong , Qing-Yi Hao , Shu-Qi Xue , Mao-Bin Hu

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

The paper develops a methodology to enable microscopic models of transportation systems to be accessible for a statistical study of traffic accidents. Our approach is intended to permit an understanding not only of historical losses, but…

Applications · Statistics 2023-11-22 Sojung Kim , Marcel Kleiber , Stefan Weber

Despite the importance of urban traffic flows, there are only a few theoretical approaches to determine fundamental relationships between macroscopic traffic variables such as the traffic density, the utilization, the average velocity, and…

Physics and Society · Physics 2009-11-13 Dirk Helbing

The purpose of this review paper is to present some recent results on the modeling and control of large systems of agents. We focus on particular applications where the agents are capable of independent actions instead of simply reacting to…

Optimization and Control · Mathematics 2023-02-27 Benedetto Piccoli

Connected automated driving has the potential to significantly improve urban traffic efficiency, e.g., by alleviating issues due to occlusion. Cooperative behavior planning can be employed to jointly optimize the motion of multiple…

Robotics · Computer Science 2023-07-31 Marvin Klimke , Benjamin Völz , Michael Buchholz

One of the aims of systems biology is to build multiple layered and multiple scale models of living systems which can efficiently describe phenomena occurring at various level of resolution. Such models should consist of layers of various…

Dynamical Systems · Mathematics 2015-03-03 Jacek Banasiak , Aleksandra Falkiewicz , Proscovia Namayanja

Motivated by the need to develop simulation tools for verification and validation of autonomous driving systems operating in traffic consisting of both autonomous and human-driven vehicles, we propose a framework for modeling vehicle…

Systems and Control · Computer Science 2019-04-12 Nan Li , Yu Yao , Ilya Kolmanovsky , Ella Atkins , Anouck Girard

By means of microscopic simulations we show that non-instantaneous adaptation of the driving behaviour to the traffic situation together with the conventional measurement method of flow-density data can explain the observed…

Statistical Mechanics · Physics 2009-11-10 Martin Treiber , Dirk Helbing

Facing the congestion challenges of mixed road networks comprising expressways and arterial road networks, traditional control solutions fall short. To effectively alleviate traffic congestion in mixed road networks, it is crucial to clear…

Systems and Control · Electrical Eng. & Systems 2024-05-13 Yunran Di , Haotian Shi , Weihua Zhang , Heng Ding , Xiaoyan Zheng , Bin Ran

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

Floating car data of car-following behavior in cities were compared to existing microsimulation models, after their parameters had been calibrated to the experimental data. With these parameter values, additional simulations have been…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Benno Tilch

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

Understanding human mobility is essential for applications ranging from urban planning to public health. Traditional mobility models such as flow networks and colocation matrices capture only pairwise interactions between discrete…

Social and Information Networks · Computer Science 2025-03-25 Prathyush Sambaturu , Bernardo Gutierrez , Moritz U. G. Kraemer