Scenario for applying the duality theory when planning production in the industry

The task of drawing up an optimal production plan for an enterprise with limited resources and problem solution of bridging production bottlenecks for only one enterprise are of limited interest. New technical capabilities due to the volume and speed of data transmission and processing, allow you to...

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Autores principales: A. T. Ershov, E. A. Gubareva, E. L. Nolde, M. V. Efimova
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Lenguaje:RU
Publicado: State University of Management 2020
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spelling oai:doaj.org-article:1ea24f937afb4487ac94eebda32541db2021-11-14T15:54:17ZScenario for applying the duality theory when planning production in the industry2658-34452686-840710.26425/2658-3445-2020-3-3-28-33https://doaj.org/article/1ea24f937afb4487ac94eebda32541db2020-11-01T00:00:00Zhttps://e-management.guu.ru/jour/article/view/107https://doaj.org/toc/2658-3445https://doaj.org/toc/2686-8407The task of drawing up an optimal production plan for an enterprise with limited resources and problem solution of bridging production bottlenecks for only one enterprise are of limited interest. New technical capabilities due to the volume and speed of data transmission and processing, allow you to solve new problems in which the apparatus of the duality theory can be fully used.The authors consider the problem of planning the optimal production company (firm, industry, ministry) volume, which structurally has a certain coordinating (managing) center and a network of enterprises (branches), which can be located in different regions, and are not connected with each other. Each of the branches has its own technological matrix of resource costs for output, resource reserves, expected profit from the sale of each type of product unit.An iterative algorithm for finding production plans for each of the enterprises is proposed, when implementing which the total profit of the company can be increased. The Center finds the optimal production plan for each of the enterprises according to this algorithm and using the classical formula of the optimal production planning problem. Further, for each of them, the Center, solving the problem of resolving production bottlenecks for each of the enterprise, determines the supply volumes of resources scarce. The Center supplies scarce resources to enterprises and forms a new adjusted output plan for each of the enterprises. If it is impossible to supply scarce resources to meet the needs of all enterprises in the company, the options for the most promising planning models are offered, under which the total profit of all enterprises in the company will be the greatest.The implementation of the planning scenarios proposed below becomes real when switching to digital production management methods.A. T. ErshovE. A. GubarevaE. L. NoldeM. V. EfimovaState University of Managementarticlearea of stability of dual estimatesdual resource estimatesenterprise profitexpansion of production bottleneckslinear programmingoptimal planproduction planningtotal industry profitElectronicsTK7800-8360Management information systemsT58.6-58.62RUE-Management, Vol 3, Iss 3, Pp 28-33 (2020)
institution DOAJ
collection DOAJ
language RU
topic area of stability of dual estimates
dual resource estimates
enterprise profit
expansion of production bottlenecks
linear programming
optimal plan
production planning
total industry profit
Electronics
TK7800-8360
Management information systems
T58.6-58.62
spellingShingle area of stability of dual estimates
dual resource estimates
enterprise profit
expansion of production bottlenecks
linear programming
optimal plan
production planning
total industry profit
Electronics
TK7800-8360
Management information systems
T58.6-58.62
A. T. Ershov
E. A. Gubareva
E. L. Nolde
M. V. Efimova
Scenario for applying the duality theory when planning production in the industry
description The task of drawing up an optimal production plan for an enterprise with limited resources and problem solution of bridging production bottlenecks for only one enterprise are of limited interest. New technical capabilities due to the volume and speed of data transmission and processing, allow you to solve new problems in which the apparatus of the duality theory can be fully used.The authors consider the problem of planning the optimal production company (firm, industry, ministry) volume, which structurally has a certain coordinating (managing) center and a network of enterprises (branches), which can be located in different regions, and are not connected with each other. Each of the branches has its own technological matrix of resource costs for output, resource reserves, expected profit from the sale of each type of product unit.An iterative algorithm for finding production plans for each of the enterprises is proposed, when implementing which the total profit of the company can be increased. The Center finds the optimal production plan for each of the enterprises according to this algorithm and using the classical formula of the optimal production planning problem. Further, for each of them, the Center, solving the problem of resolving production bottlenecks for each of the enterprise, determines the supply volumes of resources scarce. The Center supplies scarce resources to enterprises and forms a new adjusted output plan for each of the enterprises. If it is impossible to supply scarce resources to meet the needs of all enterprises in the company, the options for the most promising planning models are offered, under which the total profit of all enterprises in the company will be the greatest.The implementation of the planning scenarios proposed below becomes real when switching to digital production management methods.
format article
author A. T. Ershov
E. A. Gubareva
E. L. Nolde
M. V. Efimova
author_facet A. T. Ershov
E. A. Gubareva
E. L. Nolde
M. V. Efimova
author_sort A. T. Ershov
title Scenario for applying the duality theory when planning production in the industry
title_short Scenario for applying the duality theory when planning production in the industry
title_full Scenario for applying the duality theory when planning production in the industry
title_fullStr Scenario for applying the duality theory when planning production in the industry
title_full_unstemmed Scenario for applying the duality theory when planning production in the industry
title_sort scenario for applying the duality theory when planning production in the industry
publisher State University of Management
publishDate 2020
url https://doaj.org/article/1ea24f937afb4487ac94eebda32541db
work_keys_str_mv AT atershov scenarioforapplyingthedualitytheorywhenplanningproductionintheindustry
AT eagubareva scenarioforapplyingthedualitytheorywhenplanningproductionintheindustry
AT elnolde scenarioforapplyingthedualitytheorywhenplanningproductionintheindustry
AT mvefimova scenarioforapplyingthedualitytheorywhenplanningproductionintheindustry
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