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Faturrahman, Muhammad
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Journal : Equiva

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Penyelesaian Model Masalah Transportasi menggunakan Maximum Range Method (MRM) dan AH Method (AHM) Faturrahman, Muhammad; Affandi, Pardi
Equiva Journal Vol 3 No 2 (2025)
Publisher : Jurusan Matematika dan Teknologi Informasi

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Abstract

Transportation models are a specific type of linear programming used to determine optimal distribution patterns by considering the balance between total supply and total demand. Through mathematical formulations involving transportation costs C_{ij}, distribution allocations X_{ij}, supply a_i, and demand b_j, these models provide an effective analytical framework for evaluating the efficiency of a distribution system. This study applies two solution methods, namely the Maximum Range Method (MRM) and the AH Method (AHM), to a balanced transportation model without linking it to a specific industrial context. The MRM calculation process is carried out by identifying the largest cost difference in each row and column to determine the allocation location that has the potential to provide the highest savings. On the other hand, AHM works as a direct optimization method by selecting the smallest global cost at each stage of calculation. The results of the study show that MRM produces a total cost of 2070, which is lower than AHM, which produces a total cost of 2100. This difference indicates that MRM is more efficient for the transportation data model in this study. These two methods provide different computational perspectives but can complement each other in the analysis of transportation problem solving based on cost optimization.
Co-Authors Abang, Tenri Adwiyah, Rabiahtun Afgani, Farhan Fauzan Al Aisah, Sri Ali, Fiqry Maulana Awaludin, Anggi Daffa, Muhammad Alfie Diyaulhaq Dwiaryanti, Ririn Fadilah, Hikmatul Fadli, Dicky Muhamad Fauziah, Syita Febriana, Felinda Gani, Ilham Abdul Handihastuti, Sri Deti Hasman, Hasman Heidiani Ikasari, Ines Hilmi, Rifqi Muhammad Husni Mubarok Ikhsan Ramadhan, Muhamad Ilmi, Bahril Januarsyah, Firly Khoerunisa, Sarah Kusumayadi, Firmansyah Masdiana Masdiana Maulida, Dini Miftah Sahran, Andi Mubarok, Erick Husni Muhammad Ridwan Mukhlis Mukhlis Nabila, Nabila Nadya Putri, Mariana Nurfadillah Nurfadillah Nurhumaerah, Anisa Nurjaman, Muhammad Miftah Pardi Affandi PUTRI WULANDARI Ramdhani, Rifaldi Muhamad Ridho Akbar Riskiawang, Riskiawang Rozanna Dewi Sagala, Sarpin Sahabuddin, Ilham Sihombing, Pamomos Siregar, Ira Nurdewita Sri Ernawati Sri Lestari Sumarna, Ertansyah Rizal Priadi Surya Ramadhan, Rasyiq Taqwa, Andrialdy Wahyuddin Wahyuddin Yulianti, Lisna Zulnazri, Z