Задача минимизации отклонения центра тяжести системы прямоугольников при размещении их в кольце

Abstract

This work deals with a solution method of an optimum allocation problem of a set of rectangles into a ring. The purpose of the work is to minimize of the center of gravity displacement of system of geometrical objects. The given problem has a number of additional conditions such as placing of rectangles on the minimum admissible distance from each other and belonging of each rectangle to a ring. The mathematical model and its characteristics are described. Numerical results are presented