A hybrid model for traffic flow and crowd dynamics with random individual properties
| Autor: | Veronika Schleper |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Crowd dynamics
State variable Computer science Finite Element Analysis Poison control Transportation Motion symbols.namesake Crowds Humans Applied mathematics Computer Simulation Simulation Applied Mathematics Numerical analysis General Medicine State (functional analysis) Models Theoretical Traffic flow Riemann solver Computational Mathematics Crowding Modeling and Simulation symbols General Agricultural and Biological Sciences Algorithms |
| Zdroj: | Mathematical Biosciences and Engineering. 12:393-413 |
| ISSN: | 1551-0018 |
| DOI: | 10.3934/mbe.2015.12.393 |
| Popis: | Based on an established mathematical model for the behavior of large crowds, a new model is derived that is able to take into account the statistical variation of individual maximum walking speeds. The same model is shown to be valid also in traffic flow situations, where for instance the statistical variation of preferred maximum speeds can be considered. The model involves explicit bounds on the state variables, such that a special Riemann solver is derived that is proved to respect the state constraints. Some care is devoted to a valid construction of random initial data, necessary for the use of the new model. The article also includes a numerical method that is shown to respect the bounds on the state variables and illustrative numerical examples, explaining the properties of the new model in comparison with established models. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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