We present two conceptually new modeling approaches aimed at describing the motion of pedestrians in obscured corridors:
(i) a Becker-Döring-type dynamics and
(ii) a probabilistic cellular automaton model.
In both models the group formation is affected by a threshold. The pedestrians are supposed to have very limited knowledge about their current position and their neighborhood; they can form groups up to a certain size and they can leave them. Their main goal is to find the exit of the corridor.
Although being of mathematically different character, the discussion of both models shows that it seems to be a disadvantage for the individual to adhere to larger groups.
We illustrate this effect numerically by solving both model systems. Finally we list some of our main open questions and conjectures.
|Title of host publication||Collective dynamics from bacteria to crowds : an excursion through modeling, analysis and simulation|
|Editors||A. Muntean, F. Toschi|
|Place of Publication||Vienna|
|Publication status||Published - 2014|
|Name||CISM International Centre for Mechanical Sciences|