Comparative study of deterministic and stochastic pedestrian motions

The various collective phenomena observed in pedestrian crowds-flow have attracted interest of the rapidly increasing number of scientists, planners and designers. The implementation of a traffic policy without pedestrian analysis might lead to a costly trial and error due to implementation cost. The risk of crowd panic during an emergency or disaster can be minimised by developing a mathematical model mimicking the evacuation strategies. In this study, we estimated the evacuation time for deterministic and stochastic pedestrians flows, which are the system of ordinary differential equations (ODEs), using microscopic model based on social force model. We used stochastic differential equations (SDEs) to model the uncertainty nature of pedestrian motion. Numerical simulations were carried out for one dimensional pedestrians motion and numerical results were compared for various parameters in the models.