The modelling of urban running races

Journal of Mathematics in Industry, 13 (2023),
https://mathematicsinindustry.springeropen.com/articles/10.1186/s13362-023-00136-3

In this paper, we model mass running urban races, taking into consideration several conditioning factors. The main goal is to find ideal configurations of the start of the race, splitting it into several waves, reducing the density of athletes and the overall time lost, when comparing the normal race results with a race without density constraints. This model takes into account distinct realistic runners’ profiles, changes in slope and width on the race course and its influence on the running pace. Moreover, density levels, dynamics of the start of the race and time between the departure of waves are also considered.