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The stochastic nature of public transport systems leads to headway variability and bus bunching, causing both operator and passenger cost to increase significantly. Traditional strategies to counter bus bunching, including bus-holding,…

Systems and Control · Electrical Eng. & Systems 2023-01-26 Zaid Saeed Khan , Weili He , Monica Menendez

When driving,it is vital to maintain the right following distance between the vehicles to avoid rear-end collisions. The minimum safe distance depends on many factors, however, in this study the safe distance between the human-driven…

Robotics · Computer Science 2020-06-15 Tesfaye Hailemariam Yimer , Chao Wen , Xiaozhuo Yu , Chaozhe Jiang

Based on a study of real traffic data measured on American, UK and German freeways common features of traffic congestion relevant for many transportation engineering applications are revealed by the application of Kerner's three-phase…

Physics and Society · Physics 2010-12-24 H. Rehborn , S. L. Klenov , J. Palmer

Vehicular traffic is a classical example of a multi-agent system in which autonomous drivers operate in a shared environment. The article provides an overview of the state-of-the-art in microscopic traffic modeling and the implications for…

Physics and Society · Physics 2009-10-26 Arne Kesting , Martin Treiber , Dirk Helbing

As autonomous vehicles (AVs) inch closer to reality, a central requirement for acceptance will be earning the trust of humans in everyday driving situations. In particular, the interaction between AVs and pedestrians is of high importance,…

Robotics · Computer Science 2019-02-05 Nitin R. Kapania , Vijay Govindarajan , Francesco Borrelli , J. Christian Gerdes

The theory of a jamming transition is proposed for the homogeneous car-following model within the framework of Lorenz scheme. We represent a jamming transition as a result of the spontaneous deviations of headway and velocity that is caused…

Statistical Mechanics · Physics 2009-10-31 A. I. Olemskoi , A. V. Khomenko

It is understood that congestion in traffic can be interpreted in terms of the instability of the equation of dynamic motion. The evolution of a traffic system from an unstable or metastable state to a globally stable state bears a strong…

Physics and Society · Physics 2016-12-06 Wei-Liang Qian , Bin Wang , Kai Lin , Romuel F. Machado , Yogiro Hama

Extensive research has been conducted to develop statistical and artificial intelligence-based models for predicting short-term crash probabilities using fundamental traffic flow variables and their associated descriptive statistics and…

Physics and Society · Physics 2025-08-28 Md Mahmud Hossain , Kazi Tahsin Huda , Moinul Hossain , Yasunori Muromachi

Initially a car is placed with probability p at each site of the two-dimensional integer lattice. Each car is equally likely to be East-facing or North-facing, and different sites receive independent assignments. At odd time steps, each…

Probability · Mathematics 2007-05-23 Omer Angel , Alexander E Holroyd , James B Martin

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

We introduce an optimum principle for a vehicular traffic network with road bottlenecks. This network breakdown minimization (BM) principle states that the network optimum is reached, when link flow rates are assigned in the network in such…

Physics and Society · Physics 2011-02-14 Boris S. Kerner

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

We analyze the dynamics of a classical particle in a spatially periodic potential under the influence of a periodic in time uniform force. It was shown in [S.Flach, O.Yevtushenko, Y. Zolotaryuk, Phys. Rev. Lett. 84, 2358 (2000)] that…

Chaotic Dynamics · Physics 2012-07-11 A. P. Itin , A. I. Neishtadt

The technological and scientific challenges involved in the development of autonomous vehicles (AVs) are currently of primary interest for many automobile companies and research labs. However, human-controlled vehicles are likely to remain…

Machine Learning · Computer Science 2020-06-22 Ran Emuna , Avinoam Borowsky , Armin Biess

A simple one-dimensional spring-block chain with asymmetric interactions is considered to model an idealized single-lane highway traffic. The main elements of the system are blocks (modeling cars), springs with unidirectional interactions…

Data Analysis, Statistics and Probability · Physics 2011-11-04 Ferenc Jarai-Szabo , Bulcsu Sandor , Zoltan Neda

Autonomous driving has become one of the most popular research topics within Artificial Intelligence. An autonomous vehicle is understood as a system that combines perception, decision-making, planning, and control. All of those tasks…

Robotics · Computer Science 2023-06-01 Mariana Pinto , Inês Dutra , Joaquim Fonseca

We demonstrate a new capability of automated vehicles: mixed autonomy traffic control. With this new capability, automated vehicles can shape the traffic flows composed of other non-automated vehicles, which has the promise to improve…

As a core part of autonomous driving systems, motion planning has received extensive attention from academia and industry. However, real-time trajectory planning capable of spatial-temporal joint optimization is challenged by nonholonomic…

Robotics · Computer Science 2023-04-11 Zhichao Han , Yuwei Wu , Tong Li , Lu Zhang , Liuao Pei , Long Xu , Chengyang Li , Changjia Ma , Chao Xu , Shaojie Shen , Fei Gao

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

Single-vehicle data of freeway traffic as well as selected Floating-Car (FC) data are analyzed in great detail. Traffic states are distinguished by means of aggregated data. We propose a method for a quantitative classification of these…

Statistical Mechanics · Physics 2007-05-23 L. Neubert , L. Santen , A. Schadschneider , M. Schreckenberg