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In this paper we deal with pedestrian modeling, aiming at simulating crowd behavior in normal and emergency scenarios, including highly congested mass events. We are specifically concerned with a new agent-based, continuous-in-space,…

Adaptation and Self-Organizing Systems · Physics 2023-11-23 E. Cristiani , M. Menci , A. Malagnino , G. G. Amaro

The modelling of traffic flow using methods and models from physics has a long history. In recent years especially cellular automata models have allowed for large-scale simulations of large traffic networks faster than real time. On the…

Statistical Mechanics · Physics 2009-10-31 Andreas Schadschneider

A circular pursuit guidance problem involving pursuer-target engagement is studied in this paper using a bifurcation theory based numerical approach. While target is modeled as a point mass moving around in a circle with certain velocity,…

Systems and Control · Electrical Eng. & Systems 2026-04-13 Kavita Shekhawat , Nandan K Sinha

We present two conceptually new modeling approaches aimed at describing the motion of pedestrians in obscured corridors: * a Becker-D\"{o}ring-type dynamics * a probabilistic cellular automaton model. In both models the group formation is…

Physics and Society · Physics 2015-06-16 Adrian Muntean , Emilio N. M. Cirillo , Oleh Krehel , Michael Böhm

Most microscopic pedestrian navigation models use the concept of "forces" applied to the pedestrian agents to replicate the navigation environment. While the approach could provide believable results in regular situations, it does not…

Machine Learning · Computer Science 2020-04-24 Thanh-Trung Trinh , Dinh-Minh Vu , Masaomi Kimura

This work proposes a force control strategy with prescribed transient performance for the legs of a wheel-legged robotic system to realize the posture adjustment on uneven roads. A dynamic model of the robotic system is established with the…

Robotics · Computer Science 2021-11-25 Dongchen Liu , Junzheng Wang , Shoukun Wang , Dawei Shi , Huaihang Zheng , Yuan Huang

Modeling of crowds of pedestrians has been considered in this paper from different aspects. Based on fractional microscopic model that may be much more close to reality, a fractional macroscopic model has been proposed using conservation…

Adaptation and Self-Organizing Systems · Physics 2016-02-04 Ke-cai Cao , YangQuan Chen , Dan Stuart

Crowd movement simulation is crucial for pedestrian safety management and facility design. Data-driven models offer the potential to improve realism and predictive accuracy, but most are developed for a single scenario, limiting their…

Computers and Society · Computer Science 2026-05-20 Xuanwen Liang , Jiayu Chen , Eric Wai Ming Lee , Wei Xie

In this paper, we introduce and study one-dimensional models for the behavior of pedestrians in a narrow street or corridor. We begin at the microscopic level by formulating a stochastic cellular automata model with explicit rules for…

Probability · Mathematics 2012-09-27 Alina Chertock , Alexander Kurganov , Anthony Polizzi , Ilya Timofeyev

In recent years modelling crowd and evacuation dynamics has become very important, with increasing huge numbers of people gathering around the world for many reasons and events. The fact that our global population grows dramatically every…

Physics and Society · Physics 2015-01-28 Mohamed H. Dridi

We present experimental and numerical results for a model crawler which is able to extract net positional changes from reciprocal shape changes, i.e. 'breathing-like' deformations, thanks to directional, frictional interactions with a…

Soft Condensed Matter · Physics 2015-03-31 Giovanni Noselli , Antonio DeSimone

In shared space environments, urban space is shared among different types of road users, who frequently interact with each other to negotiate priority and coordinate their trajectories. Instead of traffic rules, interactions among them are…

Multiagent Systems · Computer Science 2022-03-01 Suhair Ahmed , Fatema T. Johora , Jörg P. Müller

A model for 1D traffic flow is developed, which is discrete in space and time. Like the cellular automaton model by Nagel and Schreckenberg [J. Phys. I France 2, 2221 (1992)], it is simple, fast, and can describe stop-and-go traffic. Due to…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Michael Schreckenberg

We discuss the control of a human crowd whose dynamics is governed by a regularized version of Hughes' model, cf. Hughes: A continuum theory for the flow of pedestrians. Transportation research part B: methodological, 36 (2002). We assume…

Optimization and Control · Mathematics 2020-11-10 Roland Herzog , Jan-Frederik Pietschmann , Max Winkler

The simulation of vehicular traffic as well as pedestrian dynamics meanwhile both have a decades long history. The success of this conference series, PED and others show that the interest in these topics is still strongly increasing. This…

Multiagent Systems · Computer Science 2009-11-17 Cornelia Boenisch , Tobias Kretz

We propose a calibrated two-dimensional cellular automaton model to simulate pedestrian motion behavior. It is a v=4 (3) model with exclusion statistics and random shuffled dynamics. The underlying regular grid structure results in a…

Physics and Society · Physics 2021-04-01 Michael Schultz , Hartmut Fricke

A cellular automaton model is presented for random walkers with biologically motivated interactions favoring local alignment and leading to collective motion or swarming behavior. The degree of alignment is controlled by a sensitivity…

Biological Physics · Physics 2009-10-30 H. J. Bussemaker , A. Deutsch , E. Geigant

It was recently found that the Social Force Model of pedestrian dynamics in a macroscopic limit for 1d movement does not reproduce the empirically found inflection point of the speed-density relation. It could be shown that, however, a…

Physics and Society · Physics 2015-12-07 Tobias Kretz , Jochen Lohmiller , Johannes Schlaich

A function for the dependence of flow on pedestrian density is derived analytically from the Social Force Model (SFM) for the case of a homogeneous population walking in the same direction and being in steady state. Assuming that only…

Physics and Society · Physics 2019-10-03 Tobias Kretz

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
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