Application of integer linear program in optimizing convection sector production results using branch and bound method

This study aimed to determine the application of the integer program in optimizing the production of the convection sector. Integer linear programming is a special form of linear programming in which the decision variable solutions are integers. Ayyumnah store as one part of the convection sectors w...

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Main Authors: Fery Firmansah, Muhammad Ridlo Yuwono, Fika Aisyah Munif
Format: Article
Language:English
Published: FoundAE 2023-01-01
Series:International Journal of Applied Mathematics, Sciences, and Technology for National Defense
Subjects:
Online Access:https://journal.foundae.com/index.php/JAS-ND/article/view/173
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author Fery Firmansah
Muhammad Ridlo Yuwono
Fika Aisyah Munif
author_facet Fery Firmansah
Muhammad Ridlo Yuwono
Fika Aisyah Munif
author_sort Fery Firmansah
collection DOAJ
description This study aimed to determine the application of the integer program in optimizing the production of the convection sector. Integer linear programming is a special form of linear programming in which the decision variable solutions are integers. Ayyumnah store as one part of the convection sectors with a home-scale does not have an appropriate strategy to optimize profits with limited materials owned. The method used in this study is an integer program with the branch and bound method. The result of this research is the optimal amount of production of long shirts and tunics at the Ayyumnah Store with maximum profit.
format Article
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institution DOAJ
issn 2986-0776
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language English
publishDate 2023-01-01
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record_format Article
series International Journal of Applied Mathematics, Sciences, and Technology for National Defense
spelling doaj-art-d6c71425e3d34dd8a9c034739713ace32025-08-20T03:12:04ZengFoundAEInternational Journal of Applied Mathematics, Sciences, and Technology for National Defense2986-07762985-93522023-01-0111132010.58524/app.sci.def.v1i1.17384Application of integer linear program in optimizing convection sector production results using branch and bound methodFery Firmansah0Muhammad Ridlo Yuwono1Fika Aisyah Munif2Prodi Pendidikan Matematika Universitas Widya Dharma KlatenProdi Pendidikan Matematika Universitas Widya Dharma KlatenProdi Pendidikan Matematika Universitas Widya Dharma KlatenThis study aimed to determine the application of the integer program in optimizing the production of the convection sector. Integer linear programming is a special form of linear programming in which the decision variable solutions are integers. Ayyumnah store as one part of the convection sectors with a home-scale does not have an appropriate strategy to optimize profits with limited materials owned. The method used in this study is an integer program with the branch and bound method. The result of this research is the optimal amount of production of long shirts and tunics at the Ayyumnah Store with maximum profit.https://journal.foundae.com/index.php/JAS-ND/article/view/173branch and bound methodconvection sectorsinteger programmingoptimization
spellingShingle Fery Firmansah
Muhammad Ridlo Yuwono
Fika Aisyah Munif
Application of integer linear program in optimizing convection sector production results using branch and bound method
International Journal of Applied Mathematics, Sciences, and Technology for National Defense
branch and bound method
convection sectors
integer programming
optimization
title Application of integer linear program in optimizing convection sector production results using branch and bound method
title_full Application of integer linear program in optimizing convection sector production results using branch and bound method
title_fullStr Application of integer linear program in optimizing convection sector production results using branch and bound method
title_full_unstemmed Application of integer linear program in optimizing convection sector production results using branch and bound method
title_short Application of integer linear program in optimizing convection sector production results using branch and bound method
title_sort application of integer linear program in optimizing convection sector production results using branch and bound method
topic branch and bound method
convection sectors
integer programming
optimization
url https://journal.foundae.com/index.php/JAS-ND/article/view/173
work_keys_str_mv AT feryfirmansah applicationofintegerlinearprograminoptimizingconvectionsectorproductionresultsusingbranchandboundmethod
AT muhammadridloyuwono applicationofintegerlinearprograminoptimizingconvectionsectorproductionresultsusingbranchandboundmethod
AT fikaaisyahmunif applicationofintegerlinearprograminoptimizingconvectionsectorproductionresultsusingbranchandboundmethod