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AN ANALYSIS OF GOMORY CUTTING PLANE METHOD APPLICATION IN THE OPTIMIZATION OF PRODUCTION PROFIT: A CASE STUDY OF GRIYA BATIK NOTONEGORO JEMBER

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 17 No. 1 (2023) · pp. 0053–0064

DOI
10.30598/barekengvol17iss1pp0053-0064
ISSN
2615-3017, 1978-7227
Published
2023-04-15
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

Gomory cutting plane method is one of the methods in linear programming that is needed to solve integer programming when the decision obtained is in the form of fractions with the addition of constraint known as gomory constraint. The purpose of this research is to determine the best optimum solution by maximizing the profit of batik production using the gomory cutting plane method. This type of research is applied research using a quantitative approach. Data collection methods used are interviews and documentation. This research is focused on four kinds of Jember batik motifs which are the best-selling, namely mbako semak batik cloth; sekar jagad batik cloth; kopi daun batik cloth; and parakopi batik cloth. The results showed that there was an increase in profit of or per production when using the simplex method assisted by QM for Windows V5 software. Meanwhile, to make batik cloth, integer values are needed in the form of integers. Therefore, the application of gomory cutting plane method in optimizing the profit of batik production is very appropriate to use with the obtained maximum settlement of which occurs when sheets, sheets, sheets, and sheets.

Collaboration network of the authors

15 authors · 39 co-authorship links

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  • Universitas Halu Oleo
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
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Show as table
Co-authorOrganisationJoint articles
Arika Indah KristianaAffiliation unknown2
ROBIATUL ADAWIYAHUniversitas Halu Oleo2
Nira Nityasa SarantaAffiliation unknown2
Antonius CahyaPrihandokoAffiliation unknown2
Edy WihardjoAffiliation unknown2
Deddy SetyawanAffiliation unknown1
Anis Nur AfniAffiliation unknown1
Ermita Rizki AlbirriAffiliation unknown1
Arif FatahillahAffiliation unknown1
Alfiani Dyah PratiwiAffiliation unknown1
Marie AfianiAffiliation unknown1
Toto Bara SetiawanAffiliation 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://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en-US">AN ANALYSIS OF GOMORY CUTTING PLANE METHOD APPLICATION IN THE OPTIMIZATION OF PRODUCTION PROFIT: A CASE STUDY OF GRIYA BATIK  NOTONEGORO JEMBER</dc:title>
	<dc:creator>Yunta, Girlyas Rasta</dc:creator>
	<dc:creator>Setiawani, Susi</dc:creator>
	<dc:creator>Prihandini, Rafiantika Megahnia</dc:creator>
	<dc:description xml:lang="en-US">Gomory cutting plane method is one of the methods in linear programming that is needed to solve integer programming when the decision obtained is in the form of fractions with the addition of constraint known as gomory constraint. The purpose of this research is to determine the best optimum solution by maximizing the profit of batik production using the gomory cutting plane method. This type of research is applied research using a quantitative approach. Data collection methods used are interviews and documentation. This research is focused on four kinds of Jember batik motifs which are the best-selling, namely  &amp;nbsp;mbako semak batik cloth;&amp;nbsp;  &amp;nbsp;sekar jagad batik cloth;  &amp;nbsp;kopi daun batik cloth; and  &amp;nbsp;parakopi batik cloth. The results showed that there was an increase in profit of  &amp;nbsp;or  &amp;nbsp;per production when using the simplex method assisted by QM for Windows V5 software. Meanwhile, to make batik cloth, integer values are needed in the form of integers. Therefore, the application of gomory cutting plane method in optimizing the profit of batik production is very appropriate to use with the obtained maximum settlement of&amp;nbsp;  &amp;nbsp;which occurs when  &amp;nbsp;sheets,  &amp;nbsp;sheets,  &amp;nbsp;sheets, and  &amp;nbsp;sheets.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2023-04-15</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6559</dc:identifier>
	<dc:identifier>10.30598/barekengvol17iss1pp0053-0064</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications; 0053-0064</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol17iss1year2023</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6559/5509</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Girlyas Rasta Yunta, Susi Setiawani, Rafiantika Megahnia Prihandini</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>