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G-OPTIMAL DESIGN OF NON-LINEAR MODEL TO INCREASE PURITY LEVELS OF SILICON DIOXIDE

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 17 No. 2 (2023) · pp. 0659–0666

DOI
10.30598/barekengvol17iss2pp0659-0666
ISSN
2615-3017, 1978-7227
Published
2023-06-11
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

Silicon Dioxide (SiO2) is one of the most abundant minerals found on earth. SiO2 is widely used in various fields, so its availability as a finite natural resource diminishes. A purity procedure can raise the purity of low-quality silica by altering the temperature and rate of temperature rise. This study aims to obtain the best design for increasing SiO2 levels—the G-optimal design on a non-linear model using the Variable Neighborhood Search (VNS) algorithm. The VNS algorithm employs two types of neighborhoods, one acquired by replacing one design point with a candidate set and the other by replacing two design points with two points in the candidate set. The model used to increase silicon dioxide's purity is a non-linear model that follows the exponential decay distribution. The best design points obtained from the G-optimal design on the relationship between temperature (oC) and the rate of temperature increase (oC/min) 800 oC to 900 oC is a pair of points 800 oC and 1,67 oC /min, 800 oC and 2,17 oC/min, 815 oC and 2,50 oC/min, 825 oC and 2,00 oC/min, 845 oC and 2,34 oC/min, 895 oC and 3,34 oC/min 900 oC and 3,50 oC/min with a G-efficiency of 96,41%.

Collaboration network of the authors

29 authors · 72 co-authorship links · 2 across different organisations

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  • IPB University
  • Bandung Islamic University
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Indahwati IndahwatiAffiliation unknown3
Anwar FitriantoAffiliation unknown2
Agus Mohamad SolehIPB University2
Khairil Anwar NotodiputroBandung Islamic University2
Andi Harismahyanti A.Affiliation unknown1
Reni AmeliaAffiliation unknown1
Anik DjuraidahAffiliation unknown1
Farah AbqorunnisaAffiliation unknown1
Budi SusetyoAffiliation unknown1
Ratna Nur Mustika SanusiAffiliation unknown1
Muhammad Nur AidiAffiliation unknown1
Yesan TiaraAffiliation unknown1
Rika RachmawatiAffiliation unknown1
Nila LestariAffiliation unknown1
Elisa D JuliantiAffiliation unknown1
Herlin FransiskaAffiliation unknown1
Pardomuan Robinson SihombingAffiliation unknown1
Anang KurniaAffiliation unknown1
Nadira Nisa AlwaniAffiliation unknown1
Megawati MegawatiAffiliation unknown1
Alfa Nugraha PradanaAffiliation unknown1
Dini RamadhaniIPB University1
Rizka Amalia PutriAffiliation unknown1
Afra NazhirahAffiliation unknown1
Siti Arita NoviaAffiliation 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) 
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	<dc:title xml:lang="en-US">G-OPTIMAL DESIGN OF NON-LINEAR MODEL TO INCREASE PURITY LEVELS OF SILICON DIOXIDE</dc:title>
	<dc:creator>Wulandari, Nindya</dc:creator>
	<dc:creator>Erfiani, Erfiani</dc:creator>
	<dc:creator>Irzaman, Irzaman</dc:creator>
	<dc:creator>Syafitri, Utami Dyah</dc:creator>
	<dc:description xml:lang="en-US">Silicon Dioxide (SiO2) is one of the most abundant minerals found on earth. SiO2 is widely used in various fields, so its availability as a finite natural resource diminishes. A purity procedure can raise the purity of low-quality silica by altering the temperature and rate of temperature rise. This study aims to obtain the best design for increasing SiO2 levels—the G-optimal design on a non-linear model using the Variable Neighborhood Search (VNS) algorithm. The VNS algorithm employs two types of neighborhoods, one acquired by replacing one design point with a candidate set and the other by replacing two design points with two points in the candidate set. The model used to increase silicon dioxide's purity is a non-linear model that follows the exponential decay distribution. The best design points obtained from the G-optimal design on the relationship between temperature (oC) and the rate of temperature increase (oC/min) 800 oC to 900 oC is a pair of points 800 oC and 1,67 oC /min, 800 oC and 2,17 oC/min, 815 oC and 2,50 oC/min, 825 oC and 2,00 oC/min, 845 oC and 2,34 oC/min, 895 oC and 3,34 oC/min 900 oC and 3,50 oC/min with a G-efficiency of 96,41%.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2023-06-11</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/6950</dc:identifier>
	<dc:identifier>10.30598/barekengvol17iss2pp0659-0666</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications; 0659-0666</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol17iss2year2023</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6950/5927</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Nindya Wulandari, Erfiani Erfiani, Irzaman Irzaman, Utami Dyah Syafitri</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>