Abstract. The paper deals with the optimization of the layout of 3D objects into a multi-connected region formed by a circular cylinder and right rectangular prisms. Constraints are imposed on the shortest distances between objects. In order to construct a mathematical model, the Ф-function technique is employed. A special approach is proposed to construct different starting points. The approach is based on solving an auxiliary problem with an increased dimension of the solution space. The numerical examples are given.

Keywords: mathematical modeling, layout problem, optimization, 3D objects.