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The problem of simultaneous trajectography of several dynamical objects is formulated as an optimization problem. The available observations consist in a series of photographs showing undiscriminated objects. The goal is to find the object…

Optimization and Control · Mathematics 2018-02-20 Max Cerf

This paper proposes a crowd dynamic macroscopic model grounded on microscopic phenomenological observations which are upscaled by means of a formal mathematical procedure. The actual applicability of the model to real world problems is…

Mathematical Physics · Physics 2016-11-07 Luca Bruno , Alessandro Corbetta , Andrea Tosin

Real-world environments are inherently uncertain, and to operate safely in these environments robots must be able to plan around this uncertainty. In the context of motion planning, we desire systems that can maintain an acceptable level of…

Robotics · Computer Science 2020-03-18 Charles Dawson , Ashkan Jasour , Andreas Hofmann , Brian Williams

The possibility to understand and to quantitatively model the physics of the interactions between pedestrians walking in crowds has compelling relevant applications, e.g. related to the design and safety of civil infrastructures. In this…

Physics and Society · Physics 2018-12-19 Alessandro Corbetta , Jasper Meeusen , Chung-min Lee , Roberto Benzi , Federico Toschi

Social scientists have criticised computer models of pedestrian streams for their treatment of psychological crowds as mere aggregations of individuals. Indeed most models for evacuation dynamics use analogies from physics where pedestrians…

Physics and Society · Physics 2016-07-13 I. von Sivers , A. Templeton , F. Künzner , G. Köster , J. Drury , A. Philippides , T. Neckel , H. -J. Bungartz

Simulation is a powerful tool to study the behavior of physical, environmental, and social systems under different conditions. Evacuation simulation can be used to estimate the required time for people to exit a building or evacuate…

Physics and Society · Physics 2021-03-23 Fardad Haghpanah , Judith Mitrani-Reiser , Benjamin W. Schafer

Consider scene understanding problems such as predicting where a person is probably reaching, or inferring the pose of 3D objects from depth images, or inferring the probable street crossings of pedestrians at a busy intersection. This…

Computer Vision and Pattern Recognition · Computer Science 2019-06-03 Javier Felip , Nilesh Ahuja , David Gómez-Gutiérrez , Omesh Tickoo , Vikash Mansinghka

The particle swarm approach provides a low complexity solution to the optimization problem among various existing heuristic algorithms. Recent advances in the algorithm resulted in improved performance at the cost of increased computational…

Neural and Evolutionary Computing · Computer Science 2013-04-16 Muhammad Omer Bin Saeed , Muhammad Saqib Sohail , Syed Zeeshan Rizvi , Mobien Shoaib , Asrar Ul Haq Sheikh

We study optimization problems for partially hinged rectangular plates, modeling bridge roadways, in the presence of real and artificial obstacles. Real obstacles represent structural constraints to avoid, while artificial ones are…

Optimization and Control · Mathematics 2025-11-07 Elvise Berchio , Filomena Feo , Antonio Giuseppe Grimaldi

Computer-based simulation of pedestrian dynamics reached meaningful results in the last decade, thanks to empirical evidences and acquired knowledge fitting fundamental diagram constraints and space utilization. Moreover, computational…

Multiagent Systems · Computer Science 2016-10-26 Luca Crociani , Daichi Yanagisawa , Giuseppe Vizzari , Katsuhiro Nishinari , Stefania Bandini

Many applications of computational fluid dynamics require multiple simulations of a flow under different input conditions. In this paper, a numerical algorithm is developed to efficiently determine a set of such simulations in which the…

Numerical Analysis · Mathematics 2017-05-29 Max Gunzburger , Nan Jiang , Zhu Wang

This paper is devoted to the study of the dynamic optimization of several controlled crowd motion models in the general planar settings, which is an application of a class of optimal control problems involving a general nonconvex sweeping…

Optimization and Control · Mathematics 2025-01-20 Tan H. Cao , Nilson Chapagain , Haejoon Lee , Phung Ngoc Thi , Nguyen Nang Thieu

In this paper we are concerned with multiscale modeling, control, and simulation of self-organizing agents leaving an unknown area under limited visibility, with special emphasis on crowds. We first introduce a new microscopic model…

Optimization and Control · Mathematics 2016-10-04 Giacomo Albi , Mattia Bongini , Emiliano Cristiani , Dante Kalise

Pedestrian crowds can very realistically be simulated with a social force model which describes the different influences affecting individual pedestrian motion by a few simple force terms. The model is able to reproduce the emergence of…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Peter Molnar

A simulation model for the dynamic behaviour of pedestrian crowds is mathematically formulated in terms of a social force model, that means, pedestrians behave in a way as if they would be subject to an acceleration force and to repulsive…

Statistical Mechanics · Physics 2007-05-23 D. Helbing , P. Molnar , F. Schweitzer

Robots are still poor at traversing cluttered large obstacles required for important applications like search and rescue. By contrast, animals are excellent at doing so, often using direct physical interaction with obstacles rather than…

Robotics · Computer Science 2022-03-15 Bokun Zheng , Qihan Xuan , Chen Li

With the increasing size and frequency of mass events, the study of crowd disasters and the simulation of pedestrian flows have become important research areas. Yet, even successful modeling approaches such as those inspired by Newtonian…

Physics and Society · Physics 2015-05-28 Mehdi Moussaid , Dirk Helbing , Guy Theraulaz

In this paper, we address the problem of collision avoidance for a swarm of UAVs used for continuous surveillance of an urban environment. Our method, LSwarm, efficiently avoids collisions with static obstacles, dynamic obstacles and other…

Accelerator physics relies on numerical algorithms to solve optimization problems in online accelerator control and tasks such as experimental design and model calibration in simulations. The effectiveness of optimization algorithms in…

In an emergency situation, the evacuation of a large crowd from a complex building can become slow or even dangerous without a working evacuation plan. The use of rescue guides that lead the crowd out of the building can improve the…

Physics and Society · Physics 2021-08-23 Anton von Schantz , Harri Ehtamo