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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.
Co-Authors Astalini Astalini Aye, Tin Nwe Boonsiri, Somjai Duong, Vu Pino-Fan, Luis Roberto