Scientific publications

А.А. Лесонен, А.Н. Реттиева.

Задача управления ресурсами с различными режимами воспроизводства

// Математическая Теория Игр и ее Приложения, т. 17, в. 4. 2025. C. 66-80

Andrey A. Lesonen, Anna N. Rettieva. Resource management problem with different reproduction regimes // Mathematical game theory and applications. Vol 17. No 4. 2025. Pp. 66-80

Keywords: Hamilton-Jacobi-Bellman equation, resource management, dynamic system

The paper considers dynamic resource management problem with different reproduction regimes. The planning horizon is assumed to be divided into equal intervals with their own resource natural growth function. The optimal control for the problems with finite and infinite planning horizon is obtained in general form. Nash equilibrium for game-theoretic setting of the problem with infinite planning horizon and interchanging reproduction regimes is constructed. The results of numerical modeling are presented.

Indexed at RSCI, RSCI (WS)

vol17_4_066-80_lesonen.pdf (419 Kb, total downloads: 3)

Last modified: January 5, 2026