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The fundamental diagram is an assumed functional relationship between traffic flow and traffic density. In practice, this relationship is noisy and exhibits significant statistical variability. On smart motorways, this variability is…

Computers and Society · Computer Science 2019-03-14 Kieran Kalair , Colm Connaughton

We derive a conservation law on a network made of two incoming branches and a single outgoing one from a discrete traffic flow model. The continuous model is obtained from the discrete one by letting the number of vehicles tend to infinity…

Analysis of PDEs · Mathematics 2024-09-04 P Cardaliaguet

Generically, in models of driven interacting particles the average speed of the particles decreases monotonically with increasing density. We propose a counter-example, motivated by the motion of ants in a trail, where the average speed of…

Statistical Mechanics · Physics 2007-05-23 Debashish Chowdhury , Vishwesha Guttal , Katsuhiro Nishinari , Andreas Schadschneider

This study introduces a unique active matter system as an application of the pedestrian collision avoidance paradigm, that proposes dynamically adjusting the desired velocity. We present a fictitious human-zombie scenario set within a…

Physics and Society · Physics 2023-12-29 Juan P. Oriana , German A. Patterson , Daniel R. Parisi

Every driver knows that severe weather conditions cause traffic congestions. In many cases there is no direct reason for the congestion, and people tend to attribute it to the slow driving mode. Our computational study shows that the slow…

Chaotic Dynamics · Physics 2008-12-15 Azi Lipshtat

In this survey we consider mathematical models and methods recently developed to control crowd dynamics, with particular emphasis on egressing pedestrians. We focus on two control strategies: The first one consists in using special agents,…

Physics and Society · Physics 2021-05-25 Giacomo Albi , Emiliano Cristiani , Lorenzo Pareschi , Daniele Peri

We construct a two dimensional Cellular Automata based model for the description of pedestrian dynamics. Wide range of complicated pattern formation phenomena in pedestrian dynamics are described in the model, e.g. lane formation, jams in a…

Cellular Automata and Lattice Gases · Physics 2012-11-29 Quntao Zhuang

As a typical self-driven many-particle system far from equilibrium, traffic flow exhibits diverse fascinating non-equilibrium phenomena, most of which are closely related to traffic flow stability and specifically the growth/dissipation…

Adaptation and Self-Organizing Systems · Physics 2015-06-18 Rui Jiang , Mao-Bin Hu , H. M. Zhang , Zi-You Gao , Bin Jia , Qing-Song Wu , Bing Wang , Ming Yang

Vehicular mobile crowd sensing is a fast-emerging paradigm to collect data about the environment by mounting sensors on vehicles such as taxis. An important problem in vehicular crowd sensing is to design payment mechanisms to incentivize…

Computer Science and Game Theory · Computer Science 2018-09-17 Susu Xu , Weiguang Mao , Yue Cao , Hae Young Noh , Nihar B. Shah

We study the duration of "high-flow states" in freeway traffic, defined as the time periods for which traffic flows exceed a given flow threshold. Our empirical data are surprisingly well represented by a power law. Moreover, the power law…

Physics and Society · Physics 2008-07-24 Dirk Helbing , Benno Tilch

Motivated by an analogy with traffic, we simulate two species of particles (`vehicles'), moving stochastically in opposite directions on a two-lane ring road. Each species prefers one lane over the other, controlled by a parameter $0 \leq b…

Statistical Mechanics · Physics 2007-05-23 B. Schmittmann , J. Krometis , R. K. P. Zia

We propose a stochastic model for the intersection of two urban streets. The vehicular traffic at the intersection is controlled by a set of traffic lights which can be operated subject to fix-time as well as traffic adaptive schemes.…

Condensed Matter · Physics 2012-03-19 M. Ebrahim Fouladvand , Zeinab Sadjadi , M. Reza Shaebani

A law in a multiagent system is a set of constraints imposed on agents' behaviours to avoid undesirable outcomes. The paper considers two types of laws: useful laws that, if followed, completely eliminate the undesirable outcomes and…

Multiagent Systems · Computer Science 2026-01-13 Qi Shi , Pavel Naumov

A number-conserving cellular automaton is a simplified model for a system of interacting particles. This paper contains two related constructions by which one can find all one-dimensional number-conserving cellular automata with one kind of…

Cellular Automata and Lattice Gases · Physics 2023-06-22 Markus Redeker

It is suggested that the question of existence of a jamming phase transition in a broad class of single-lane cellular-automaton traffic models may be studied using a correspondence to the asymmetric chipping model. In models where such…

Statistical Mechanics · Physics 2009-11-10 E. Levine , G. Ziv , L. Gray , D. Mukamel

Planner evaluation in closed-loop simulation often uses rule-based traffic agents, whose simplistic and passive behavior can hide planner deficiencies and bias rankings. Widely used IDM agents simply follow a lead vehicle and cannot react…

Robotics · Computer Science 2025-10-17 Steffen Hagedorn , Luka Donkov , Aron Distelzweig , Alexandru P. Condurache

Several factors influence traffic congestion and overall traffic dynamics. Simulation modeling has been utilized to understand the traffic performance parameters during traffic congestions. This paper focuses on driver behavior of route…

Systems and Control · Electrical Eng. & Systems 2019-07-17 Ben Benzaman , Erfan Pakdamanian

Police officer presence at an intersection discourages a potential traffic violator from violating the law. It also alerts the motorists' consciousness to take precaution and follow the rules. However, due to the abundant intersections and…

Artificial Intelligence · Computer Science 2019-09-23 Monireh Dabaghchian , Amir Alipour-Fanid , Kai Zeng

Multi-agent learning provides a potential framework for learning and simulating traffic behaviors. This paper proposes a novel architecture to learn multiple driving behaviors in a traffic scenario. The proposed architecture can learn…

Machine Learning · Computer Science 2018-11-20 Meha Kaushik , Phaniteja S , K. Madhava Krishna

Traffic flow prediction is an important part of smart transportation. The goal is to predict future traffic conditions based on historical data recorded by sensors and the traffic network. As the city continues to build, parts of the…

Machine Learning · Statistics 2022-12-27 Yanan Xiao , Minyu Liu , Zichen Zhang , Lu Jiang , Minghao Yin , Jianan Wang