Abstract
Scenarios of migration are considered as applied to the problem of optimal control of transregional migration with zero risk of overpopulation or insufficient population and migration with obtaining the minimum of the objective functional and minimizing risk. Numerical algorithms for the scenarios considered are developed. The algorithms are implemented in an applied geoinformation decision-support system for control of transregional migration of population.
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References
V. V. Akimenko and O. G. Nakonechnyi, “Optimal control models for interregional migration under social risks,” Cybernetics and Systems Analysis, No 3, 107–122 (2006).
N. N. Moiseyev, Mathematical Problems of Systems Analysis [in Russian], Nauka, Moscow (1986).
M. D. Mesarovich et al., Theory of Hierarchical Multilevel Systems [Russian translation], Mir, Moscow (1982).
V. V. Akimenko, “A computer system supporting administrative decision making under the conditions of mixed information for systems of ecological monitoring of the atmosphere,” Cybernetics and Systems Analysis, No. 5, 151–167 (2000).
A. G. Nakonechnyi and V. P. Martsenyuk, “Controllability Problems for Differential Gompertzian Dynamic Equations,” Cybernetics and Systems Analysis, No. 2, 123–133 (2004).
E. B. Lee and L. Markus, Foundations of Optimal Control Theory, Wiley, New York-London-Sydney (1967).
V. M. Alekseev, V. M. Tikhomirov, and S. V. Fomin, Optimal Control [in Russian], Nauka, Moscow (1979).
O. V. Staroverov and S. N. Kotelnikova, Modeling of Social and Economic Processes [in Russian], Mosk. Gos. Inst. Elektroniki i Matematiki (Tekhn. Univ.), Moscow (2001).
I. V. Sergienko and V. P. Shilo, Discrete Optimization Problems [in Russian], Naukova Dumka, Kiev (2003).
M. N. DeMers, Fundamentals of Geographic Information Systems, Wiley, New York (1997).
V. Akimenko and O. Nakonechnyi, “A speed model of optimal control of migration processes under integrated social risks,” in: Proc. Conf. on Problems of Decision-Making under Uncertainty, Taras Shevchenko University, Kyiv-Berdyansk (2005), pp. 79–80.
V. V. Akimenko and O. G. Nakonechnyi, “Optimal control of transregional migration processes, taking into account social risks,” in: Proc. Conf. on Demographic Development of Ukraine and Priority Tasks in Population Policy, KNEU, Kyiv (2005), pp. 45–48.
O. S. Vlasyuk and S. V. Pirozhkov, Human Development Index: Ukrainian Experience [in Ukrainian], PROON, Kiev (1995).
Statistical Year-Book of Ukraine for 2004 [in Ukrainian], Konsultant, Kiev (2004).
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Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 16–33, January–February 2007.
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Akimenko, V.V., Nakonechnyi, A.G. & Voloshchuk, S.D. Scenarios of optimal control of transregional migration processes under risk. Cybern Syst Anal 43, 12–24 (2007). https://doi.org/10.1007/s10559-007-0022-1
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DOI: https://doi.org/10.1007/s10559-007-0022-1