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The Optimization Problem of Batik Cloth Production with Fuzzy Multi-Objective Linear Programming and Application of Branch and Bound Method

KUBIK: Jurnal Publikasi Ilmiah Matematika · Vol. 7 No. 1 (2022) · pp. 19–30

DOI
10.15575/kubik.v7i1.18432
ISSN
2686-0341, 2338-0896
Published
2022-09-30
Publisher
Department of Mathematics, Faculty of Science and Technology, UIN Sunan Gunung Djati Bandung
Language
eng

Abstract

This study discussed fuzzy multi-objective linear programming (FMOLP) and its application. This research was conducted in Rumah Batik Mentari Jambi, which produces five batik motifs typical of the Jambi. In this research, the tolerance for additional raw material capacity is included in the model. This research aims to find out the number of tolerances needed, the maximum number of batik needed to be produced, and the minimum production time so that the producer can earn the maximum profit. The decision variables in FMOLP are the number of pieces of batik measuring in 2m2, which means the decision variables must be an integer. Therefore, after obtaining the optimal solution from FMOLP, then proceed with the branch and bound method to obtain the integer solution. The result of this research is that the addition of raw materials needed to earn optimal solutions is as much as 50% of the tolerance assumed in the model. Thus, owner can earn the optimal profit of Rp. 5,675,800.00/week by producing as many as 67 pieces of batik with the design of angso duo, 18 pieces with the design of gentala, and 50 pieces with the design of batang hari, and the minimum production time is 270 hours/week.

Keywords

Collaboration network of the authors

20 authors · 37 co-authorship links

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  • Universitas Jambi
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Yelli RamalisaUniversitas Jambi2
Zuli RodhiyahAffiliation unknown1
Bunga MardhotillahAffiliation unknown1
Nizlel HudaUniversitas Jambi1
Husni SabilUniversitas Jambi1
Novferma NovfermaAffiliation unknown1
Evia AnjarwatiAffiliation unknown1
Ayuni ElisaAffiliation unknown1
Agung TralisnoAffiliation unknown1
SyaifulAffiliation unknown1
Lisa MerlisaAffiliation unknown1
Sofnidar SofnidarUniversitas Jambi1
Perayana PerayanaAffiliation unknown1
Rohati RohatiUniversitas Jambi1
Jefri MarzalAffiliation unknown1
Kamid KamidAffiliation unknown1
Rina Kusuma DewiAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://journal.uinsgd.ac.id/index.php/kubik/oai, first harvested 7 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">The Optimization Problem of Batik Cloth Production with Fuzzy Multi-Objective Linear Programming and Application of Branch and Bound Method</dc:title>
	<dc:creator>Hanesti, Fevi</dc:creator>
	<dc:creator>Syafmen, Wardi</dc:creator>
	<dc:creator>Rozi, Syamsyida</dc:creator>
	<dc:subject xml:lang="en-US">Branch and bound</dc:subject>
	<dc:subject xml:lang="en-US">fuzzy linear programming</dc:subject>
	<dc:subject xml:lang="en-US">linear programming</dc:subject>
	<dc:subject xml:lang="en-US">multi-objective linear programming</dc:subject>
	<dc:subject xml:lang="en-US">optimization</dc:subject>
	<dc:description xml:lang="en-US">This study discussed fuzzy multi-objective linear programming (FMOLP) and its application. This research was conducted in Rumah Batik Mentari Jambi, which produces five batik motifs typical of the Jambi. In this research, the tolerance for additional raw material capacity is included in the model. This research aims to find out the number of tolerances needed, the maximum number of batik needed to be produced, and the minimum production time so that the producer can earn the maximum profit. The decision variables in FMOLP are the number of pieces of batik measuring in 2m2, which means the decision variables must be an integer. Therefore, after obtaining the optimal solution from FMOLP, then proceed with the branch and bound method to obtain the integer solution. The result of this research is that the addition of raw materials needed to earn optimal solutions is as much as 50% of the tolerance assumed in the model. Thus, owner can earn the optimal profit of Rp. 5,675,800.00/week by producing as many as 67 pieces of batik with the design of angso duo, 18 pieces with the design of gentala, and 50 pieces with the design of batang hari, and the minimum production time is 270 hours/week.</dc:description>
	<dc:publisher xml:lang="en-US">Department of Mathematics, Faculty of Science and Technology, UIN Sunan Gunung Djati Bandung</dc:publisher>
	<dc:date>2022-09-30</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en-US">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.uinsgd.ac.id/index.php/kubik/article/view/18432</dc:identifier>
	<dc:identifier>10.15575/kubik.v7i1.18432</dc:identifier>
	<dc:source xml:lang="en-US">KUBIK: Jurnal Publikasi Ilmiah Matematika; Vol. 7 No. 1 (2022): KUBIK: Jurnal Publikasi Ilmiah Matematika; 19-30</dc:source>
	<dc:source xml:lang="id-ID">KUBIK; Vol 7 No 1 (2022): KUBIK: Jurnal Publikasi Ilmiah Matematika; 19-30</dc:source>
	<dc:source>2686-0341</dc:source>
	<dc:source>2338-0896</dc:source>
	<dc:source>10.15575/kubik.v7i1</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.uinsgd.ac.id/index.php/kubik/article/view/18432/7717</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2022 Fevi Hanesti, Wardi Syafmen, Syamsyida Rozi</dc:rights>
</oai_dc:dc>