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All Journal Interval: Indonesian Journal of Mathematical Education
Zainudeen, U.L.
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Education Mathematics

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Development of Combinatorial Optimization Models with Discrete Mathematics Methods in Mathematical Physics Courses Astalini, Astalini; Pino-Fan, Luis Roberto; Boonsiri, Somjai; Zainudeen, U.L.; Aye, Tin Nwe; Duong, Vu
Interval: Indonesian Journal of Mathematical Education Vol. 1 No. 2 (2023): December
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v1i2.1354

Abstract

Purpose of the study: This research aims to develop a combinatorial optimization model based on discrete mathematical methods that can be applied to mathematical physics problems in complex systems, such as molecular energy configurations and viscoelastic system simulations. Methodology: The study used a development approach with ADDIE design (Analysis, Design, Development, Implementation, Evaluation). Data were obtained through interviews, simulations, and instrument validation involving lecturers and students of mathematical physics. Main Findings: The results of the study showed that the developed model had an average accuracy of 85% and a time efficiency of 2.5 seconds per iteration. This model also received positive feedback from users, with an average satisfaction score of 4.6 out of 5. Novelty/Originality of this study: The novelty of the research lies in the integration of discrete mathematical methods with combinatorial optimization to solve complex mathematical physics problems.
Development of Combinatorial Optimization Models with Discrete Mathematics Methods in Mathematical Physics Courses Astalini, Astalini; Pino-Fan, Luis Roberto; Boonsiri, Somjai; Zainudeen, U.L.; Aye, Tin Nwe; Duong, Vu
jurnal matematika Vol 1 No 2 (2023): December
Publisher : Cahaya Ilmu Cendekia Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37251/ijome.v1i2.1354

Abstract

Purpose of the study: This research aims to develop a combinatorial optimization model based on discrete mathematical methods that can be applied to mathematical physics problems in complex systems, such as molecular energy configurations and viscoelastic system simulations. Methodology: The study used a development approach with ADDIE design (Analysis, Design, Development, Implementation, Evaluation). Data were obtained through interviews, simulations, and instrument validation involving lecturers and students of mathematical physics. Main Findings: The results of the study showed that the developed model had an average accuracy of 85% and a time efficiency of 2.5 seconds per iteration. This model also received positive feedback from users, with an average satisfaction score of 4.6 out of 5. Novelty/Originality of this study: The novelty of the research lies in the integration of discrete mathematical methods with combinatorial optimization to solve complex mathematical physics problems.
Co-Authors Astalini Astalini Aye, Tin Nwe Boonsiri, Somjai Duong, Vu Pino-Fan, Luis Roberto