Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 178, Pages 150–153
DOI: https://doi.org/10.36535/0233-6723-2020-178-150-153 (Mi into618) 		 
Application of the maximum principle to minimizing total production costs

V. V. Kiselev

Bauman Moscow State Technical University
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DOI: https://doi.org/10.36535/0233-6723-2020-178-150-153
Abstract: There are no common methods of the search for optimal solutions to problems of economic dynamics. Application of variational methods is possible for a quite narrow class of problems. In this paper, we discuss application of the Pontryagin maximum principle, which significantly expands the class of problems considered and allows one to obtain numerical solutions.
Keywords: calculus of variation, optimal control, Pontryagin maximum principle, economic dynamics.
Document Type: Article
UDC: 519.85(045)
MSC: 49K99, 90C99
Language: Russian
Citation: V. V. Kiselev, “Application of the maximum principle to minimizing total production costs”, Optimal control, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 178, VINITI, Moscow, 2020, 150–153
Citation in format AMSBIB
\Bibitem{Kis20}
\by V.~V.~Kiselev
\paper Application of the maximum principle to minimizing total production costs
\inbook Optimal control
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 178
\pages 150--153
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into618}
\crossref{https://doi.org/10.36535/0233-6723-2020-178-150-153}
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