Mathematical model of the problem of network planning of industrial tasks at an enterprise

A mathematical model of the problem of network distribution of production problems at an enterprise has been studied. A specific class of scale-invariant graphs, called pre-fractal graphs is used as a model of an hierarchical structure of an organization divisions. As a result, the task of distribut...

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Main Authors: D. A. Pavlov, I. M. Yakhontova
Format: Article
Language:Russian
Published: Maykop State Technological University 2018-09-01
Series:Новые технологии
Subjects:
Online Access:https://newtechology.mkgtu.ru/jour/article/view/157
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author D. A. Pavlov
I. M. Yakhontova
author_facet D. A. Pavlov
I. M. Yakhontova
author_sort D. A. Pavlov
collection DOAJ
description A mathematical model of the problem of network distribution of production problems at an enterprise has been studied. A specific class of scale-invariant graphs, called pre-fractal graphs is used as a model of an hierarchical structure of an organization divisions. As a result, the task of distributing production problems is reduced to the problem of covering a prefractal graph with simple non-intersecting chains in a multi-criteria formulation.
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issn 2072-0920
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language Russian
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publisher Maykop State Technological University
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series Новые технологии
spelling doaj-art-abc0c9bdbdcf439da14ad1142724c9b92025-08-20T02:49:19ZrusMaykop State Technological UniversityНовые технологии2072-09202713-00292018-09-0103140144156Mathematical model of the problem of network planning of industrial tasks at an enterpriseD. A. Pavlov0I. M. Yakhontova1ФГБОУ ВО «Кубанский государственный аграрный университет им. И.Т. Трубилина»ФГБОУ ВО «Кубанский государственный аграрный университет им. И.Т. Трубилина»A mathematical model of the problem of network distribution of production problems at an enterprise has been studied. A specific class of scale-invariant graphs, called pre-fractal graphs is used as a model of an hierarchical structure of an organization divisions. As a result, the task of distributing production problems is reduced to the problem of covering a prefractal graph with simple non-intersecting chains in a multi-criteria formulation.https://newtechology.mkgtu.ru/jour/article/view/157network distribution of production tasksresource allocationprefractal graphdistributed computingmulticriteria optimization
spellingShingle D. A. Pavlov
I. M. Yakhontova
Mathematical model of the problem of network planning of industrial tasks at an enterprise
Новые технологии
network distribution of production tasks
resource allocation
prefractal graph
distributed computing
multicriteria optimization
title Mathematical model of the problem of network planning of industrial tasks at an enterprise
title_full Mathematical model of the problem of network planning of industrial tasks at an enterprise
title_fullStr Mathematical model of the problem of network planning of industrial tasks at an enterprise
title_full_unstemmed Mathematical model of the problem of network planning of industrial tasks at an enterprise
title_short Mathematical model of the problem of network planning of industrial tasks at an enterprise
title_sort mathematical model of the problem of network planning of industrial tasks at an enterprise
topic network distribution of production tasks
resource allocation
prefractal graph
distributed computing
multicriteria optimization
url https://newtechology.mkgtu.ru/jour/article/view/157
work_keys_str_mv AT dapavlov mathematicalmodeloftheproblemofnetworkplanningofindustrialtasksatanenterprise
AT imyakhontova mathematicalmodeloftheproblemofnetworkplanningofindustrialtasksatanenterprise