THE OPTIMAL PRINCIPLE OF BELLMAN IN THE PROBLEM OF OPTIMAL MEANS DISTRIBUTION BETWEEN ENTERPRISES FOR THE EXPANSION OF PRODUCTION

The method of dynamic programming has been considered, which is used in solving multiple problems in economics, on the example of using Bellman’s optimality principle for solving nonlinear programming problems. On a specific numerical example, the features of the solution have been shown in detail w...

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Autores principales: A. Tarasenko, I. Egorova
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Publicado: Publishing House of the State University of Management 2019
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spelling oai:doaj.org-article:9b102fa68ae640cfbea66e74154ba8a62021-12-03T07:43:30ZTHE OPTIMAL PRINCIPLE OF BELLMAN IN THE PROBLEM OF OPTIMAL MEANS DISTRIBUTION BETWEEN ENTERPRISES FOR THE EXPANSION OF PRODUCTION1816-42772686-841510.26425/1816-4277-2019-10-132-138https://doaj.org/article/9b102fa68ae640cfbea66e74154ba8a62019-11-01T00:00:00Zhttps://vestnik.guu.ru/jour/article/view/1798https://doaj.org/toc/1816-4277https://doaj.org/toc/2686-8415The method of dynamic programming has been considered, which is used in solving multiple problems in economics, on the example of using Bellman’s optimality principle for solving nonlinear programming problems. On a specific numerical example, the features of the solution have been shown in detail with all the calculations. The problem of optimal distribution of funds among enterprises for the expansion of production has been formulated, which would give the maximum total increase in output. The solution of the task has been presented in the case, when the number of enterprises is 3. It has been shown, that the Bellman optimality principle allows you solve applied problems of cost forecasting with obtaining the optimal solution-maximum profit at minimum costs.A. TarasenkoI. EgorovaPublishing House of the State University of Managementarticledynamic programmingeconomic problemsbellman’s optimality principlemulti-step problemrecurrence relationmaximizing valuesSociology (General)HM401-1281Economics as a scienceHB71-74RUВестник университета, Vol 0, Iss 10, Pp 132-138 (2019)
institution DOAJ
collection DOAJ
language RU
topic dynamic programming
economic problems
bellman’s optimality principle
multi-step problem
recurrence relation
maximizing values
Sociology (General)
HM401-1281
Economics as a science
HB71-74
spellingShingle dynamic programming
economic problems
bellman’s optimality principle
multi-step problem
recurrence relation
maximizing values
Sociology (General)
HM401-1281
Economics as a science
HB71-74
A. Tarasenko
I. Egorova
THE OPTIMAL PRINCIPLE OF BELLMAN IN THE PROBLEM OF OPTIMAL MEANS DISTRIBUTION BETWEEN ENTERPRISES FOR THE EXPANSION OF PRODUCTION
description The method of dynamic programming has been considered, which is used in solving multiple problems in economics, on the example of using Bellman’s optimality principle for solving nonlinear programming problems. On a specific numerical example, the features of the solution have been shown in detail with all the calculations. The problem of optimal distribution of funds among enterprises for the expansion of production has been formulated, which would give the maximum total increase in output. The solution of the task has been presented in the case, when the number of enterprises is 3. It has been shown, that the Bellman optimality principle allows you solve applied problems of cost forecasting with obtaining the optimal solution-maximum profit at minimum costs.
format article
author A. Tarasenko
I. Egorova
author_facet A. Tarasenko
I. Egorova
author_sort A. Tarasenko
title THE OPTIMAL PRINCIPLE OF BELLMAN IN THE PROBLEM OF OPTIMAL MEANS DISTRIBUTION BETWEEN ENTERPRISES FOR THE EXPANSION OF PRODUCTION
title_short THE OPTIMAL PRINCIPLE OF BELLMAN IN THE PROBLEM OF OPTIMAL MEANS DISTRIBUTION BETWEEN ENTERPRISES FOR THE EXPANSION OF PRODUCTION
title_full THE OPTIMAL PRINCIPLE OF BELLMAN IN THE PROBLEM OF OPTIMAL MEANS DISTRIBUTION BETWEEN ENTERPRISES FOR THE EXPANSION OF PRODUCTION
title_fullStr THE OPTIMAL PRINCIPLE OF BELLMAN IN THE PROBLEM OF OPTIMAL MEANS DISTRIBUTION BETWEEN ENTERPRISES FOR THE EXPANSION OF PRODUCTION
title_full_unstemmed THE OPTIMAL PRINCIPLE OF BELLMAN IN THE PROBLEM OF OPTIMAL MEANS DISTRIBUTION BETWEEN ENTERPRISES FOR THE EXPANSION OF PRODUCTION
title_sort optimal principle of bellman in the problem of optimal means distribution between enterprises for the expansion of production
publisher Publishing House of the State University of Management
publishDate 2019
url https://doaj.org/article/9b102fa68ae640cfbea66e74154ba8a6
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AT iegorova theoptimalprincipleofbellmanintheproblemofoptimalmeansdistributionbetweenenterprisesfortheexpansionofproduction
AT atarasenko optimalprincipleofbellmanintheproblemofoptimalmeansdistributionbetweenenterprisesfortheexpansionofproduction
AT iegorova optimalprincipleofbellmanintheproblemofoptimalmeansdistributionbetweenenterprisesfortheexpansionofproduction
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