One model of migration flows control
https://doi.org/10.23947/2587-8999-2020-1-2-94-100
Abstract
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.
Keywords
mathematical modeling,
migration,
economic growth,
numerical experiment,
skilled and unskilled labor
Supporting agencies: The reported study was funded by RFBR, project number 18-01-00551.
About the Authors
Yu. E. Danik
Institute for Systems Analysis Federal Research Center «Computer Science and Control» of Russian Academy of Sciences
Russian Federation
Russian Federation
Yulia E. Danik, PhD. (Phys.-Math.), researcher
44/2 Vavilova str., Moscow
M. G. Dmitriev
Institute for Systems Analysis Federal Research Center «Computer Science and Control» of Russian Academy of Sciences
Russian Federation
Russian Federation
Mikhail G. Dmitriev, Dr.Sci. (Phys.-Math.), professor, cheaf researcher
44/2 Vavilova str., Moscow
O. G. Proncheva
Moscow Institute of Physics and Technology (National Research University)
Russian Federation
Russian Federation
Olga G. Proncheva, PhD. (Phys.-Math.), assistant
9, Institutskiy per., Dolgoprudny, Moscow Region
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Review
For citations:
Danik Yu.E., Dmitriev M.G., Proncheva O.G. One model of migration flows control. Computational Mathematics and Information Technologies. 2020;4(2):94-100. https://doi.org/10.23947/2587-8999-2020-1-2-94-100
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