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

Hanesti, Fevi; Syafmen, Wardi; Rozi, Syamsyida

doi:10.15575/kubik.v7i1.18432

Jurnal

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) · hlm. 19–30

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

Abstrak

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.

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Rekan penulis	Organisasi	Artikel bersama
Yelli Ramalisa	Universitas Jambi	2
Zuli Rodhiyah	Afiliasi tidak diketahui	1
Bunga Mardhotillah	Afiliasi tidak diketahui	1
Nizlel Huda	Universitas Jambi	1
Husni Sabil	Universitas Jambi	1
Novferma Novferma	Afiliasi tidak diketahui	1
Evia Anjarwati	Afiliasi tidak diketahui	1
Ayuni Elisa	Afiliasi tidak diketahui	1
Agung Tralisno	Afiliasi tidak diketahui	1
Syaiful	Afiliasi tidak diketahui	1
Lisa Merlisa	Afiliasi tidak diketahui	1
Sofnidar Sofnidar	Universitas Jambi	1
Perayana Perayana	Afiliasi tidak diketahui	1
Rohati Rohati	Universitas Jambi	1
Jefri Marzal	Afiliasi tidak diketahui	1
Kamid Kamid	Afiliasi tidak diketahui	1
Rina Kusuma Dewi	Afiliasi tidak diketahui	1

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Sumber metadata: OAI-PMH (metadata jurnal) https://journal.uinsgd.ac.id/index.php/kubik/oai, pertama di-harvest 7 Nov 2026, terakhir terlihat 8 Nov 2026.

Metadata asli (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>