A pedestrian flow model with stochastic velocities: microscopic and macroscopic approaches
This work provides a new modeling framework for pedestrian dynamics, but the results are incremental as it extends existing social force models with stochasticity.
The authors develop a stochastic model hierarchy for pedestrian flow, deriving a macroscopic conservation law from a microscopic social force model with random stop-or-go states, and validate it numerically.
We investigate a stochastic model hierarchy for pedestrian flow. Starting from a microscopic social force model, where the pedestrians switch randomly between the two states stop-or-go, we derive an associated macroscopic model of conservation law type. Therefore we use a kinetic mean-field equation and introduce a new problem-oriented closure function. Numerical experiments are presented to compare the above models and to show their similarities.