Abstract
The problem of modeling the movement of heterogeneous flows of people is shown to be one of the topical applied problems of the class of geometric design. The paper proposes a mathematical model, methods, and algorithms for modeling the movement of heterogeneous flows of people based on 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 translations and rotations. Keywords: configuration space, generalized variables, placement, modeling of the movement of human flows, mathematical model.
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