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Optimasi Biaya Distribusi Buku Teks ke Sekolah-Sekolah di Kota Padang Menggunakan Metode North West Corner, Least Cost, dan Vogel’s Approximation Method Alya Rozali Ramadhani; Nana Sepriyanti; Defi Angriani; Mutia Mutia; Ruhama Wazna
JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM Vol. 5 No. 1 (2026): April : JURRIMIPA: Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurrimipa.v5i1.9332

Abstract

This study aims to optimize the distribution cost of textbooks to state and private high schools in Padang City, West Sumatra, using transportation optimization methods studied in operations research courses: North West Corner (NWC), Least Cost Method (LCM), and Vogel’s Approximation Method (VAM), with MODI (Modified Distribution) as the optimality test. The study involved 10 schools across four distribution zones, supplied by three government warehouses. Data were obtained from the Padang City Education Office for the 2024/2025 academic year. The results show that VAM produces the lowest initial solution compared to the NWC initial solution. After optimality testing using MODI, the VAM solution was confirmed optimal. This study also highlights that transportation cost efficiency is highly influenced by the accuracy of allocation methods used in distribution planning. Therefore, selecting the appropriate method is crucial in minimizing operational costs. The study concludes that the application of VAM supported by the MODI optimality test is the most efficient approach for textbook distribution planning in Padang City, and can serve as a recommendation for more cost-effective school resource management.
Co-Authors Alya Rozali Ramadhani Andy Satria Defi Angriani Fachry Abda El Rahman Fitria Mardika Gebby Afrila Hercien Hercien Hylmiana Nadya Imelda Aliska Inggrit Nadeak Ita Maulita Khairani Khairani Kristina Sinaga Masyitah H Muhammad Sakhi Baretta Mutiara Indah Pertiwi Nana Sepriyanti Nindi Clorita M Putri Handayani Harahap Ruhama Wazna Sabillah Nasitoh Salamah Salamah Silvia Wulandari Siti Nurhasanah Sri Siswati Sri Wahyuningsi Laiya Suci Pratiwi Maritim Tria Masrofah Yakob Napu Yuni Izmi Kurnia