ONE MODEL OF MIGRATION FLOWS CONTROL

The paper presents a discrete optimal control problem with constraints on which a method for calculation of migration flows, where qualified and unskilled workers are distinguished, is discussed. At the same time, the optimality criterion in the problem is associated with the achievement of the maximum output with the minimization of the total number of migrants. Numerical calculations are provided that illustrate the sustainable growth scenario over a 10 year period. The work objectives included the development of an approach for calculating the necessary size of working-age population migration and its components to achieve optimal output growth. A macromodel is proposed, which is a discrete optimal control problem. An algorithm for the control synthesis is pro-posed. Numerical modeling is carried out. The obtained results can be used in migration flows planning and management processes.

A method of dynamic programming in the problems of optimal panel deformation in the creep mode

Рассматриваются задачи моделирования процессов формообразования в режиме ползучести панелей с помощью реконфигурируемого стержневого пуансона. Задача деформирования в ползучести с учетом геометрической нелинейности и контактных условий решается методом конечных элементов. Экспериментальные результаты позволяют отождествить работу рассеяния с параметром поврежденности. В этом случае процессы формообразования позволяют управлять уровнем поврежденности материала и согласовывать с технологическими ограничениями за счет оптимального выбора пути деформирования во времени. Формулируется дискретная задача оптимального управления, которая решается методом динамического программирования c уточнением решения методом локальных вариаций. Показана эффективность предлагаемого метода по сравнению с полным перебором вариантов путей деформирования. The problems of modeling the panel forming processes in the creep mode with the aid of a reconfigurable rod punch are considered. The problem of deformation in creep with consideration of geometric nonlinearity and contact conditions is solved by the finite element method. The experimental results allow one to identify the effect of scattering with the damage parameter. In this case, the forming processes allow controlling the level of material damage and coordinating with technological constraints due to the optimal choice of the strain path in time. A discrete optimal control problem is formulated and is solved by the method of dynamic programming with the refinement of the solution by the method of local variations. The efficiency of the proposed method is shown in comparison with a full search of variants for the strain paths.