Optimasi Biaya Distribusi Biji Kopi: Perbandingan Metode Northwest Corner Method, Least Cost Method, Vogel's Approximation Method, dan Modified Distribution Method

Zahrotul Janah, Siti Nur Afifatun, Muhammad Asadi Almaruf, Winarno Winarno

Abstract


This study aims to analyze transportation costs in distributing Mr. Rusman's coffee beans from Candiroto and Bejen plantations to five destination stores: Seleksi, Muneng, Plosogaden, Lancar, and Berkah, using the Northwest Corner Method (NWC), Least Cost Method (LC), Vogel's Approximation Method (VAM), and Modified Distribution Method (MODI). Data were obtained through direct interviews with plantation owners regarding capacity, demand, and distribution costs. The results showed that the NWC resulted in a cost of Rp610,000, the LC Rp538,500, and the VAM Rp524,500. Testing using the MODI showed that the NWC and LC methods were not optimal and required iterations for improvement, while the VAM method was immediately optimal. After optimization, the minimum cost was obtained at Rp524,500. The calculation results also used POM QM for Windows V5 software and showed similar results to manual calculations. 


Keywords


Transportation, Northwest Corner Method, Least Cost Method, Vogel’s Approximation Method, Modified Distribution Method

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References


L. N. Anisa, S. Andawiah, D. P. Utama, and I. Afan, “Implementasi supply chain management untuk meningkatkan kinerja logistik perusahaan,” Jurnal Masharif al-Syariah, vol. 10, no. 204, pp. 460–471, 2025, doi: 10.30651/jms.v10i1.25469.

H. Jodlbauer, M. Brunner, N. Bachmann, S. Tripathi, and M. Thürer, “Supply chain management: A structured narrative review of current challenges and recommendations for action,” Logistic, vol. 7, pp. 1–19, 2023, doi: 10.3390/logistics7040070.

S. A. M. Galih, “Optimalisasi alur distribusi: Memperlancar efisiensi melalui daftar harga pengiriman dan moda transportasi yang strategis,” Jurnal Ekonomi, Bisnis dan Manajemen, vol. 11, pp. 77–86, 2024, doi: 10.36987/ecobi.v11i1.5263.

A. G. Suseno, A. E. Nugraha, and D. Herwanto, “Pengembangan model matematis untuk meminimalisir biaya transportasi dengan mempertimbangkan waktu operasional dan konsumsi bahan bakar pada kontainer pendingin,” Jurnal Ilmiah Wahana Pendidik, vol. 10, no. 2, pp. 63–78, 2024, doi: 10.5281/zenodo.10470866.

D. Fitriasari, R. S. Biya, D. Nuraeni, and R. A. Santoso, “Pengaruh biaya operasional terhadap laba bersih,” Akuntansi dan Ekonomi Pajak: Perspektif Global, vol. 1, no. 2, pp. 54–65, 2024, doi: 10.61132/aeppg.v1i2.

M. O. Gale, H. Herdi, and P. N. Aurelia, “Pengaruh biaya distribusi terhadap peningkatan volume penjualan (studi kasus pada perusahaan industri manufaktur sektor makanan dan minuman yang terdaftar di bursa efek indonesia tahun 2020–2022),” Jurnal Akuntan Publik, vol. 2, no. 3, pp. 102–112, 2024, doi: 10.59581/jap-widyakarya.v1i3.1041.

M. Norsita, F. Damayanti, and K. Z. Zahra, “Pengaruh biaya distribusi dan biaya promosi terhadap pertumbuhan laba,” Jurnal Trial Balance, vol. 2, pp. 121–136, 2024, doi: 10.61754/jutriance.v2i2.100.

N. Hulu, L. M. Harahap, S. Marbun, D. A. Putri, M. Manik, and K. Sigalingging, “Efisiensi distribusi melalui optimasi biaya dan jarak dengan pendekatan metode transportasi,” Jurnal of Economics Business and Management, vol. 1, no. 1, pp. 1–5, 2025, doi: 10.56495/econobis.v1i1.937.

O. Niluminda and U. Ekanayake, “The novel efficient method to solve balanced and unbalanced profit maximization in transportation problems,” American Journal of Mathematical and Computer Modelling, vol. 8, no. 2, pp. 17–24, 2023, doi: 10.11648/j.ajmcm.20230802.11.

M. R. Suhandi, A. E. Nursanto, M. Al Huffadz, and Budiharjo, “Optimasi biaya distribusi dengan menggunakan metode transportasi,” Jurnal Ilmiah Multidisiplin, vol. 1, no. 6, pp. 4463–4470, 2025, doi: 10.63822/pxs3en38.

D. P. Faeni, A. S. Ali, F. N. Putri, G. C. Suratmono, S. N. Kusumawardani, and Q. N. Ramadhani, “Penerapan metode transportasi untuk optimalisasi biaya distribusi kendaraan studi kasus pada pt astra),” Jurnal Riset Ilmiah, vol. 2, no. 5, pp. 2318–2324, 2025, doi: 10.62335/sinergi.v2i5.1224.

A. D. Cahyani et al., “Analisis optimalisasi distribusi logistik untuk meningkatkan efisiensi dan keefektifan operasional pada pt. xx,” Industrika, vol. 8, no. 3, pp. 654–665, 2024, doi: 10.37090/indstrk.v8i3.1580.

W. Sugianto and E. Susanti, “Optimasi biaya transportasi pada ukm kota batam,” Journal of Industrial & Quality Engineering, vol. 9, pp. 1–19, 2021, doi: 10.34010/owe.v9i1.4278.

I. Arofah and N. N. Gesthantiara, “Optimasi biaya distribusi barang dengan menggunakan model transportasi,” Jurnal Matematika dan Terapan, vol. 3, no. 1, pp. 1–9, 2021, doi: 10.21009/jmt.3.1.1.

J. Nisa, A. Aziz, B. Hermawan, and L. Yulia, “Optimasi biaya distribusi di spx express cabang serang menggunakan metode transportasi,” Jurnal Ilmiah Multidisiplin, vol. 2, no. 1, pp. 1299–1312, 2026.

F. Manurung, D. Wahyu, A. Putri, and I. D. Samosir, “Penyelesaian masalah transportasi: Optimasi biaya menggunakan metode north west corner dan modi,” Jurnal Statistika Universitas Jambi, vol. 3, no. 2, pp. 115–121, 2024, doi: 10.22437/multiproximity.v3i2.40202.

H. M. Hasibuan, P. T. Kurahman, E. D. A. A. Zam, and F. Rakhmawati, “Optimasi biaya distribusi dengan menggunakan metode transportasi,” Jurnal Ilmiah Matematika, vol. 7, pp. 235–245, 2026, doi: 10.63976/jimat.v7i1.1322.

S. Y. Prayogi and M. I. Panjaitan, “Penerapan metode vogel’s approximation method (vam) dalam optimalisasi biaya transportasi pengiriman barang berbasis sistem informasi (studi kasus: Pt. coca-cola amatil indonesia (ccai) medan),” Journal of Information Technology and Accounting, vol. 5, no. 1, pp. 69–75, 2022.

A. Cahyanti and Helma, “Penerapan metode modified distribution dengan metode vogel’s approximation sebagai solusi awal pada optimasi biaya transportasi pada ud salim abadi lampung,” Journal of Mathematics UNP, vol. 9, no. 1, pp. 132–139, 2021.




DOI: https://doi.org/10.37905/euler.v14i2.40357

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