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The vehicular flow in the urban street canyon is considered. The classical field description is used in the modelling of the vehicular movement and of gaseous mixture in generic urban street canyon. The dynamical variables include vehicular…

Disordered Systems and Neural Networks · Physics 2007-05-23 Maciej M. Duras

We present a new class of macroscopic models for pedestrian flows. Each individual is assumed to move towards a fixed target, deviating from the best path according to the instantaneous crowd distribution. The resulting equation is a…

Analysis of PDEs · Mathematics 2011-04-21 Rinaldo M. Colombo , Mauro Garavello , Magali Lécureux-Mercier

Routing choices of walking pedestrians in geometrically complex environments are regulated by the interplay of a multitude of factors such as local crowding, (estimated) time to destination, (perceived) comfort. As individual choices…

Physics and Society · Physics 2022-10-03 Alessandro Gabbana , Federico Toschi , Philip Ross , Antal Haans , Alessandro Corbetta

As we walk towards our destinations, our trajectories are constantly influenced by the presence of obstacles and infrastructural elements: even in absence of crowding our paths are often curved. Over the last two decades pedestrian dynamics…

We present a strategy capable of describing basic features of the dynamics of crowds. The behaviour of the crowd is considered from a twofold perspective. We examine both the large scale behaviour of the crowd, and phenomena happening at…

Mathematical Physics · Physics 2011-08-09 Joep Evers

With the advent of autonomous driving technologies, traffic control at intersections is expected to experience revolutionary changes. Various novel intersection control methods have been proposed in the existing literature, and they can be…

Systems and Control · Electrical Eng. & Systems 2020-08-17 Chen Yang , Xi Lin , Meng Li , Fang He

Quantitatively modeling the trajectories and behavior of pedestrians walking in crowds is an outstanding fundamental challenge deeply connected with the physics of flowing active matter, from a scientific point of view, and having societal…

Physics and Society · Physics 2020-11-05 Alessandro Corbetta , Lars Schilders , Federico Toschi

The movement of pedestrians is supposed to show certain regularities which can be best described by an ``algorithm'' for the individual behavior and is easily simulated on computers. This behavior is assumed to be determined by an intended…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

We study a novel principle for safe and efficient collision avoidance that adopts a mathematically elegant and general framework abstracting as much as possible from the controlled vehicle's dynamics and of its environment. Vehicle dynamics…

Systems and Control · Electrical Eng. & Systems 2020-10-06 Qiang Wang , Dachuan Li , Joseph Sifakis

Some mechanical systems, that are modeled to have inelastic collisions, nonetheless possess energy-conserving intermittent-contact solutions, known as collisionless solutions. Such a solution, representing a persistent hopping or walking…

Robotics · Computer Science 2024-02-27 Sergey Pankov

Collision avoidance systems play a vital role in reducing the number of vehicle accidents and saving human lives. This paper extends the previous work using evolutionary neural networks for reactive collision avoidance. We are proposing a…

Robotics · Computer Science 2022-04-13 Hesham M. Eraqi , Mena Nagiub , Peter Sidra

We introduce a method for generating realistic pedestrian trajectories and full-body animations that can be controlled to meet user-defined goals. We draw on recent advances in guided diffusion modeling to achieve test-time controllability…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Davis Rempe , Zhengyi Luo , Xue Bin Peng , Ye Yuan , Kris Kitani , Karsten Kreis , Sanja Fidler , Or Litany

Designing efficient traffic lanes for pedestrians is a critical aspect of urban planning as walking remains the most common form of mobility among the increasingly diverse methods of transportation. Herein, we investigate pedestrian counter…

Physics and Society · Physics 2020-04-10 Shihori Koyama , Daisuke Inoue , Akihisa Okada , Hiroaki Yoshida

This letter studies a distributed collision avoidance control problem for a group of rigid bodies on a sphere. A rigid body network, consisting of multiple rigid bodies constrained to a spherical surface and an interconnection topology, is…

Systems and Control · Electrical Eng. & Systems 2020-06-24 Tatsuya Ibuki , Sean Wilson , Aaron D. Ames , Magnus Egerstedt

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

It has been argued that the speed-density digram of pedestrian movement has an inflection point. This inflection point was found empirically in investigations of closed-loop single-file pedestrian movement. The reduced complexity of…

Physics and Society · Physics 2015-07-20 Tobias Kretz , Jochen Lohmiller , Johannes Schlaich

We present the pedestrian patterns dataset for autonomous driving. The dataset was collected by repeatedly traversing the same three routes for one week starting at different specific timeslots. The purpose of the dataset is to capture the…

Computer Vision and Pattern Recognition · Computer Science 2020-01-08 Kasra Mokhtari , Alan R. Wagner

Tremendous efforts have been put forth on predicting pedestrian trajectory with generative models to accommodate uncertainty and multi-modality in human behaviors. An individual's inherent uncertainty, e.g., change of destination, can be…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Yao Liu , Zesheng Ye , Rui Wang , Binghao Li , Quan Z. Sheng , Lina Yao

We analyze numerically some macroscopic models of pedestrian motion such as Hughes model [1] and mean field game with nonlinear mobilities [2] modeling fast exit scenarios in pedestrian crowds. A model introduced by Hughes consisting of a…

Numerical Analysis · Mathematics 2018-10-09 Naveen Kumar Mahato , Axel Klar , Sudarshan Tiwari

We study a hierarchy of models based on kinetic equations for the descriptions of traffic flow in presence of autonomous and human--driven vehicles. The autonomous cars considered in this paper are thought of as vehicles endowed with some…

Physics and Society · Physics 2021-10-11 M. Herty , G. Puppo , G. Visconti
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