A kinetic theory approach to the dynamics of crowd evacuation from bounded domains
| Autor: | Juan Pablo Agnelli, Francesca Colasuonno, Damián Alejandro Knopoff |
|---|---|
| Přispěvatelé: | Agnelli, J.P., Colasuonno, F., Knopoff, D. |
| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: |
Nonlinear interaction
Complex systems Crowd dynamics Complex system Matemáticas Boundary (topology) CROWD DYNAMICS Domain (mathematical analysis) Matemática Pura Modeling and simulation Nonlinear interactions Statistical physics COMPLEX SYSTEMS Mathematics Applied Mathematics Dynamics (mechanics) Stochastic game HYBRID MODEL Hybrid model Stochastic games Modeling and Simulation Applied Mathematic STOCHASTIC GAMES Bounded function Kinetic theory of gases Crowd dynamic Game theory CIENCIAS NATURALES Y EXACTAS NONLINEAR INTERACTIONS |
| Popis: | A mathematical model of the evacuation of a crowd from bounded domains is derived by a hybrid approach with kinetic and macro-features. Interactions at the micro-scale, which modify the velocity direction, are modeled by using tools of game theory and are transferred to the dynamics of collective behaviors. The velocity modulus is assumed to depend on the local density. The modeling approach considers dynamics caused by interactions of pedestrians not only with all the other pedestrians, but also with the geometry of the domain, such as walls and exits. Interactions with the boundary of the domain are non-local and described by games. Numerical simulations are developed to study evacuation time depending on the size of the exit zone, on the initial distribution of the crowd and on a parameter which weighs the unconscious attraction of the stream and the search for less crowded walking directions. Fil: Agnelli, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina Fil: Colasuonno, F.. Politecnico di Torino; Italia Fil: Knopoff, Damián Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina |
| Databáze: | OpenAIRE |
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