Systems and Means of Informatics
2019, Volume 29, Issue 1, pp 128-139
ALGORITHMIC SOLUTION OF THE PROBLEM OF OPTIMAL CONTROL IN A DYNAMIC ONE-SECTOR ECONOMIC MODEL WITH DISCRETE TIME BASED ON THE DYNAMIC PROGRAMMING METHOD
- P. V. Shnurkov
- A. O. Rudak
Abstract
The paper studies a new formulation of the optimal control problem in a dynamic one-sector economic model with discrete time. In the task, the states are the values of the specific capital. The control parameter is the proportion of the specific product produced, directed for investment. The study is based on the dynamic programming method. The Bellman equations for the problem are obtained. The optimality of controls satisfying the Bellman equations is proved. An algorithm was created and described in detail that allows one to solve the Bellman functional equations numerically and to find the optimal control strategy for the problem posed.
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[+] About this article
Title
ALGORITHMIC SOLUTION OF THE PROBLEM OF OPTIMAL CONTROL IN A DYNAMIC ONE-SECTOR ECONOMIC MODEL WITH DISCRETE TIME BASED ON THE DYNAMIC PROGRAMMING METHOD
Journal
Systems and Means of Informatics
Volume 29, Issue 1, pp 128-139
Cover Date
2019-03-30
DOI
10.14357/08696527190111
Print ISSN
0869-6527
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
dynamic programming; optimal control problem; discrete time; Bellman equations; one-sector model of an economic system
Authors
P. V. Shnurkov  and A. O. Rudak
Author Affiliations
National Research University Higher School of Economics, 34 Tallinskaya Str., Moscow 123458, Russian Federation
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