A class of models describing the dynamics of production and infrastructure-planning indicators
- 60 Downloads
A mathematical model is proposed for the dynamics of infrastructure indicators in an isolated region with a mining enterprise, based on the theory of multisector models of economic dynamics. We examine the time-dependent optimal control problem for the enterprise production cycle and for investments in the infrastructure sector, where the terminal performance functional requires maximizing the economic efficiency of both production and infrastructure. A numerical algorithm is proposed for the corresponding optimal control problem. Calculations of optimal control for test model parameters are reported.
Keywordsoptimal control models of economic dynamics infrastructure planning Pontryagin maximum principle maximum-principle boundary-value problem
Unable to display preview. Download preview PDF.
- 1.S. A. Ashmanov, Introduction to Mathematical Economics [in Russian], Nauka, Moscow (1984).Google Scholar
- 2.R. Allen, Mathematical Economics [Russian translation], IL, Moscow (1963).Google Scholar
- 4.V. A. Kolemaev, Mathematical Economics [in Russian], Yuniti, Moscow (1998).Google Scholar
- 5.L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, Mathematical Theory of Optimal Processes [in Russian], Nauka, Moscow (1961).Google Scholar
- 6.A. N. Tikhonov, “On regularization method for optimal control problems,” DAN SSSR, 162, No. 4, 763–766 (1965).Google Scholar
- 7.F. P. Vasil’ev, Optimization Methods [in Russian], Faktorial Press, Moscow (2002).Google Scholar
- 10.S. N. Avvakumov, Yu. N. Kiselev, and M. V. Orlov, “Investigation of a one-dimensional MDI optimization model. Infinite horizon. Finite horizon,” Probl. Dinam. Upravl., 1, 111–136.Google Scholar
- 12.S. N. Avvakumov and Yu. N. Kiselev, “Some optimal control algorithms,” Trudy IMM UrO RAN, 12, No. 2, 3–17.Google Scholar