APPROACH TO THE EVALUATION OF FILLING BY PEOPLE OF MOBILE MEANS AT EMERGENCY EVACUATION FROM BUILDINGS

The tasks of geometric design (of arrangement, cutting, coverage, partitioning) consist in optimization display of geometric information about objects in accordance with a given quality criterion and limitations. Geometric information about a geometric object consists of three components: spatial shape, metric shape parameters, placement parameters, and which, as a rule, is involves in the synthesis of complex systems. The configuration space of geometric objects is based on the formalization of the concept of geometric information. The mapping of objects into their configuration space according to a given set of constraints defines the spatial configuration of geometric objects. The article introduces the concept of a spatial configuration of placement, with the help of which a new model of placement of complex objects is constructed, representing the union of three loosely coupled ellipses, of which one (main) allows continuous translations and rotations, and two of auxiliary ellipses can rotate within acceptable limits (with respect to the angle of rotation of main ellipse) and relative to the points of their “gluing”. As a result of solving the optimization problem, not only the arrangement configuration of such objects is synthesized, but also the spatial form of each of them. Computer modeling of the optimization of the placement of the complex objects considered in the work was carried out and the effectiveness of the proposed approach was shown by comparing the location configurations for objects with a changing spatial shape and with constant shape parameters. Consideration of the parameters of the placement of objects, as well as additional parameters that allow us to synthesize new spatial forms of objects, as independent variables will allow us to offer new mathematical models and optimization methods for the synthesis of spatial configurations. A further direction can also be considered the development of new approaches to modeling the movement of flows of people, robots, to get upper bounds for filling areas with objects. All this increases the range of tasks to be solved according to their functional capabilities and can be used, for example, when dividing the compartments of vehicles for transporting goods and storing them, in pattern recognition systems, in robotics, etc.