Computational approach for researching visitor flow dynamics at public venues and mass gathering events

Visitor flow dynamics at public venues has been studied by using mathematical models of the non-stationary queuing system and discrete-event modelling. Computational approach for research visitor flows quantitative characteristics is described. The dependence of input rate from time in non-stationary queuing system model is like the dependencies of rate of visitors to football matches. Quantitative characteristics are waiting line length and waiting time (time spend in queue) from time for different parameters of the input rate and the service rate device. It is proven that the maximum values of the studied characteristics and the corresponding time values are described by deterministic functions that depend on the maximum intensity of visitor flow and the average service speed. The form of these functions is well described. © Published under licence by IOP Publishing Ltd. The work was supported by Act 211 Government of the Russian Federation, contract № 02.A03.21.0006