Modeling the Movement of Heterogenous Flows of People as a Geometric Design Problem

The problem of modeling the movement of heterogenous flows of people is shown to be one of the topical applied problems of the geometric design class. The article proposes a mathematical model, methods, and algorithms for modeling the movement of heterogenous flows of people based on the local optimization methods for the movement of geometric objects taking into account changes in their spatial shape and metric characteristics. These algorithms are based on an analytical description of the conditions for non-intersection of objects taking into account their continuous transitions and rotations.