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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| Format: | Article |
| Language: | English |
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Publishing House of the State University of Management
2019-11-01
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| Series: | Вестник университета |
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| Online Access: | https://vestnik.guu.ru/jour/article/view/1798 |
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| author | A. Tarasenko I. Egorova |
| author_facet | A. Tarasenko I. Egorova |
| author_sort | A. Tarasenko |
| collection | DOAJ |
| 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 |
| id | doaj-art-9b102fa68ae640cfbea66e74154ba8a6 |
| institution | Kabale University |
| issn | 1816-4277 2686-8415 |
| language | English |
| publishDate | 2019-11-01 |
| publisher | Publishing House of the State University of Management |
| record_format | Article |
| series | Вестник университета |
| spelling | doaj-art-9b102fa68ae640cfbea66e74154ba8a62025-02-04T08:28:01ZengPublishing House of the State University of ManagementВестник университета1816-42772686-84152019-11-0101013213810.26425/1816-4277-2019-10-132-1381525THE OPTIMAL PRINCIPLE OF BELLMAN IN THE PROBLEM OF OPTIMAL MEANS DISTRIBUTION BETWEEN ENTERPRISES FOR THE EXPANSION OF PRODUCTIONA. Tarasenko0I. Egorova1Samara State Technical UniversitySamara State Technical UniversityThe 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.https://vestnik.guu.ru/jour/article/view/1798dynamic programmingeconomic problemsbellman’s optimality principlemulti-step problemrecurrence relationmaximizing values |
| spellingShingle | A. Tarasenko I. Egorova THE OPTIMAL PRINCIPLE OF BELLMAN IN THE PROBLEM OF OPTIMAL MEANS DISTRIBUTION BETWEEN ENTERPRISES FOR THE EXPANSION OF PRODUCTION Вестник университета dynamic programming economic problems bellman’s optimality principle multi-step problem recurrence relation maximizing values |
| title | 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_short | 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 |
| topic | dynamic programming economic problems bellman’s optimality principle multi-step problem recurrence relation maximizing values |
| url | https://vestnik.guu.ru/jour/article/view/1798 |
| work_keys_str_mv | AT atarasenko theoptimalprincipleofbellmanintheproblemofoptimalmeansdistributionbetweenenterprisesfortheexpansionofproduction AT iegorova theoptimalprincipleofbellmanintheproblemofoptimalmeansdistributionbetweenenterprisesfortheexpansionofproduction AT atarasenko optimalprincipleofbellmanintheproblemofoptimalmeansdistributionbetweenenterprisesfortheexpansionofproduction AT iegorova optimalprincipleofbellmanintheproblemofoptimalmeansdistributionbetweenenterprisesfortheexpansionofproduction |