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ANALISIS STRATEGI PENYELESAIAN PROGRAM LINIER MELALUI PENDEKATAN MODEL MATEMATIKA Nuraini, Anggun; Octarina, Sisca; Puspita, Fitri Maya; Yuliza, Evi
Uninus Journal of Mathematics Education and Science (UJMES) Vol. 10 No. 2 (2025): Juli 2025
Publisher : Universitas Islam Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30999/ujmes.v10i2.3781

Abstract

Mathematical modeling plays an essential role in mathematics learning, particularly in developing students analytical and problem-solving skills. Linear programming, as one of the core topics in optimization, often presents conceptual difficulties for students when linking abstract mathematical formulations to real-world problems. This study aims to analyze learning strategies for teaching linear programming through the implementation of mathematical modeling to improve students conceptual understanding and reasoning abilities. A descriptive qualitative approach was employed, focusing on literature review and classroom observations related to the used of mathematical models in teaching linear programming. The findings show that incorporating modeling steps-such as problem identification, variable formulation, and interpretation of result-helps students comprehend abstract mathematical ideas more effectively. Moreover, the integration of mathematical modeling encourages active learning and promotes students engagement in solving contextual problems. In conclusion, the use of mathematical modeling as a learning strategy provides a meaningful framework that enhances understanding, crirical thinking, and problem-solving skills in linear programming instruction.
Optimization of Palm Oil Distribution Routes Using the Saving Matrix Approach and Genetic Algorithm on Capacitated Vehicle Routing Problem Yuliza, Evi; Andriani, Yuli; Indrawati, Indrawati; Octarina, Sisca; Ramadani, Diah Putri
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.36371

Abstract

The transportation of goods and services is a strategic issue in logistics systems, particularly in the palm oil industry. One of the key distribution optimization challenges is the Capacitated Vehicle Routing Problem (CVRP), which involves determining optimal distribution routes while considering vehicle capacity constraints. This study aims to identify the shortest distribution routes for transporting fresh oil palm fruit bunches from collection points to the palm oil mill, with the goal of minimizing total vehicle travel distance. A heuristic approach using the Saving Matrix method and a metaheuristic approach using a Genetic Algorithm were applied separately to two regions: Block P and Block Q, each consisting of 14 collection points with daily distribution schedules. The performance of both algorithms was analyzed and compared in the context of region-based distribution.The results show that the Genetic Algorithm yields more optimal solutions than the Saving Matrix, reducing the total travel distance by 33.92% in Block P and 32.81% in Block Q. In comparison, the Saving Matrix achieved reductions of 38.72% in Block P and 35.25% in Block Q. These findings indicate that the Genetic Algorithm performs better in solving CVRP for the distribution of fresh oil palm fruit bunches and can serve as a foundation for developing more efficient distribution systems using heuristic and metaheuristic approaches
Co-Authors Adik Ahmadi Adinda Putri Ramadhany, Adinda Putri Ahmadi, Adik Alfensi Faruk Ali Amran Aprilia Nur Sabana Arden Naser Yustian Simarmata Armalia, Divasanda Aryani, Robeah Ayu Nursafitri AYU WULANDARI Ayu Wulandari Bambang Suprihatin Bela Olivia Mareta Silaen Bella Juwita Rezky Desta Wahyuni Destia Maharani Dewi Lisandra Dian Wahyuni Diyaz Rachmaningtiyaz Diyaz Rachmaningtyas Eka Susanti Eka Susanti Elisa Nurnawati Endro Setyo Cahyono, Endro Setyo Fadhila Chaniago, Redina An Fidella Oktariana Fitri Maya Puspita Fitri Maya Puspita Fitri Maya Puspita Fitri Maya Puspita Fitri Maya Puspita Helmayanti, Rizky Hernanda, Eggyana Deri Indrawati Indrawati Indrawati Indrawati Indrawati Indrawati Indrawati Indrawati Jaya Bangun Jurnal Pepadu Laila Hanum Malica Putri Amdes Maya Puspita, Fitri Muthia Ulfa Nadia Zuliaty Syaputri Ning Eliyati Novi Rustiana Dewi Nuraini, Anggun Oki Dwipurwani Oki Dwipurwani Pratiwi, Weni Dwi Putra Bahtera Putra Bahtera Jaya Bangun, Putra Bahtera Jaya Putra BJ Bangun, Putra BJ Qatrunnada, Dhiya Rachmaningtiyaz, Diyaz Rahmadia, Putri Ramadani, Diah Putri Ramadhan, Ahmad Farhan Rani Elekta Togatorop Resmadona Reza Andeka Rindarto, Ahmad Rizki, Krisda Robinson Sitepu Rohania Rohania Rohania Rohania Sabana, Aprilia Nur Sarjani, Ita Sisca Octarina Siti Suzlin Supadi Supadi, Siti Suzlin Tampubolon, Farah Nabilah Tasiah, Mawar Tri Handayani Triyani Triyani Ulandari, Mazida Venty Wenny Herlina Weny Herlina Yolanda Fitria Yuli Andriani Yuni Kartika YUNITA Yunita Yunita Yunita Yunita Yunita Yunita Yusuf Hartono