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
References
1. Dmitriev, M. G., Yudina, T. N. Migration processes; analysis models and fore-casting (review) // Proceedings of the Institute for System Analysis of the Russian Academy of Sciences. 2017. V. 67, №. 2. P. 3–14 (In Russian).
2. Simon, C., Skritek,B., Veliov, V.M.Optimal immigration age-patterns in populations of Fixed size // J. Math. Anal. Appl. 2013. Vol. 405. P. 71–89.
3. Paraev, Yu. I., Ryumkin, AI, Tsvetnitskaya SA Mathematical model of labor mi-gration of the population // Bulletin of the Tomsk State University. 2015. V. 67, № 1 (30). P. 21–26(In Russian).
4. Tiebout, C.A. Pure Theory of Local Expenditures // The Journal of Political Economy. 1956. Vol. 64, iss. 5. P. 416–424.
5. Lukina, A. A. On the control of labor migration to the Russian Federation // Finance and business. 2015. No. 2. P. 41–56 (In Russian).
6. Lukina, AA, Prasolov, AV Analysis and mathematical modeling of international labor migration // Administrative Consulting. 2015. №. 10 (82). P. 146-156 (In Russian).
7. Lukina, A. A. Mathematical modeling of international labor migration: Ph.D. the-sis. physical-mat. sciences on spec. 05.13.18. St. Petersburg State University, 2016. 124 p. (In Russian)
8. Dmitriev, M. G, Petrov, A. P., Proncheva, O. G. Modeling of economic growth taking into account the migration flows // Proceedings of the Institute of System Analysis of the Russian Academy of Sciences. 2019. V. 69, №. 2. P. 17–27(InRussian).
9. Dmitriev, M., Mikhailov, A., Petrov, A., Proncheva, O. Modeling the impact of migration crisis on economic growth and social inequality // Proceed-ings of the 12th International Conference Management of Large-Scale System Development (MLSD 2019). Art. ID: 8910984. P. 1–4. DOI: 10.1109/MLSD.2019.8910984.
10. Dmitriev, M. G, Mikhailov, A. P., Petrov, A. P., Proncheva, O. G. Numerical ex-periments with a model of the impact of migration crises on the host country // Mathematical modeling and informatics of social Processes: Proceedings of the XXI Interdisciplinary Annual Scientific Seminar (Moscow, February 06, 2019). - Moscow: IPM im. M.V. Keldysh, 2019. Iss. 21. P. 20–27 (In Russian).
11. Mello, M. Skilled Labor, Unskilled Labor, and Economic Growth //Economics Letters. 2008. Vol. 100, iss. 3. P. 428–431.
12. Mikhailov, A. P., Petrov, A. P. Behavioral hypotheses and mathe-matical modeling in humanitarian sciences // Matem. Mod. 2011. Vol. 23, № 6. P. 18–32.
13. Petrov, A. P., Maslov, A. I., Tsaplin, N. A. Modeling Position Selec-tion by Individuals during Information Warfare in Society // Mathematical Models and Computer Simulations. 2016. Vol. 8, № 4. P. 401–408, doi:10.1134/S2070048216040141.
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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