Fractional Decision Making Model for Crowds of Pedestrians in Two-Alternative Choice Evacuation

Abstract

Modeling of the two-alternative decision making process for evacuation of crowds of pedestrians from bounded room has been considered in this paper under the framework of Calculus of Fractional Order. Dynamic decision making models of fractional order have been presented under symmetric interactions and asymmetric interactions, respectively. Stability analysis under asymmetric interactions has been studied using linear approximation. Final value of the collective opinion under asymmetric interactions is dependent on the initial distribution of crowd’s opinions while it is not the case for symmetric interactions. Future work based on the results of this paper are also discussed at the end of this paper.