Optimization of Transportation Distribution Costs Using Improved Vogel's Approximation Method (IVAM) (Case Study: PT. Sinar Putra Pertam)
Abstract
Distribution is the process of distributing goods from source to destination. The main problem with distribution is the inefficiencies in distribution costs. The distribution problem can be solved by transportation methods. The transportation method is carried out in two stages, namely finding the initial solution then looking for the optimal solution. This study uses Improved Vogel's Approximation Method (IVAM) initial solution method and Modified Distribution Method (MODI) as the optimal solution method in distributing 3 Kg LPG gas PT. Sinar Putra Pertam. This study aims to find out how IVAM and MODI work in getting optimal solutions, and compare the results of these calculations with the calculation of 3 Kg LPG gas distribution costs from the company. In this study, there were 2 sources of LPG gas filling which were distributed using a fleet of colt trucks to 15 destinations. The distribution cost is calculated based on fleet fuel consumption. The results of the initial solution calculation show IVAM requires three iterations to get a solution. While the calculation results of the MODI optimization test require one iteration to achieve the optimal solution. The distribution cost using IVAM and MODI is the same amounting to IDR 6,816,230.00 so that it is smaller than the conventional calculation results from the company, which is IDR 9,307,000.00. Based on these results, the transportation method used in this study can save 26.76% of the total distribution cost.
Keywords
References
Amaliah, B. (2016). Metode Max Min Vogel’s Approximation Method untuk Menemukan Biaya Minimal pada Permasalahan Transportasi. Prosiding Seminar Nasional Manajemen Teknologi XXIV. https://www.researchgate.net/publication/291831603
Febrianto, P., Arrazi, H., & Merlyn, K. (2023). Analisis Penentuan Rute Distribusi Gas Elpiji 3 Kg pada PT. Surya Gas Mandiri Manado. Jurnal EMBA, 11(1), 549–557.
Feriza, Y., & Murni, D. (2020). Optimasi Biaya Distribusi Pengiriman Beras Sejahtera pada Perum Bulog Divisi Regional Sumatera Barat dengan Kombinasi North West Corner Method (NWCM) dan Stepping Stone Method (SSM). UNPjoMath, 3(1), 95–100. [add doi number]
Ganesan, K., & Dheebia, D. (2020). A Study of Intuitionistic Fuzzy Transportation Problem Using Vogel"s Approximation Method. International Journal of Mathematics Trends and Technology, 66(6). http://www.ijmttjournal.org [add doi number]
Gofur, M., Sarjono, Saputra, M. P., Apriani, A. Y. (2023). Optimization of Basket Oven Oil Seal Design For Quality, Productivity and Material Handling. IJIEM (Indonesian Journal of Industrial Engineering & Management), 4(3), 618-623. [doi number] http://publikasi.mercubuana.ac.id/index.php/ijiem
Hermanto, K., Adiasa, I., Altarisi, S., Rabani, R., & Amirul, M. (2020). Rute Usulan Pendistribusian LPG Menggunakan Model Clustered Generalized Vehicle Routing Problem (CGVRP) dan Algoritma Dijkstra. Performa: Media Ilmiah Teknik Industri, 19(1). https://doi.org/10.20961/performa.19.1.41858
Ibnas, R., Alwi, W., & Taufik, A. (2019). Penerapan Metode Modified Distribution (MODI) dalam Meminimalisasi Biaya Transportasi Pengiriman Barang di PT. Tirta Makmur Perkasa. JURNAL MSA, 5(1), 5–10. [doi number]
Krisna, D. K., & Sumiati (2023). Optimization of Teller Services Using Queuing Theory at XYZ Bank. IJIEM (Indonesian Journal of Industrial Engineering & Management), 4(3), 440-447. [doi number] http://publikasi.mercubuana.ac.id/index.php/ijiem
Korukoǧlu, S., & Balli, S. (2011). An Improved Vogel’s Approximation Method for the Transportation Problem. Mathematical and Computational Applications, 16(2), 370–381. https://doi.org/10.3390/mca16020370
Mussafi, N. S. (2016). Application of Cutting Stock Problem in Minimizing The Waste of Al-Quran Cover. Kaunia, 12(1), 17 - 22. [doi number] http://ejournal.uin-suka.ac.id/saintek/kaunia.
Nahar, J., Rusyaman, E., & Putri, S. D. V. E. (2018). Application of improved Vogel’s approximation method in minimization of rice distribution costs of Perum BULOG. In IOP Conference Series: Materials Science and Engineering (Vol. 332, No. 1, p. 012027). IOP Publishing. [doi number]
Ratnasari, Y., Yuniarti, D., & Purnamasari, I. (2020). Optimization of Goods Distribution Using Vogel's Approximation Method and Stepping Stone Method. EKSPONENSIAL, 10(2), 165-174. [doi number]
Siang, J. J. (2014). Riset Operasi dalam Pendekatan Algoritmis (S. Suyantoro, Ed.; 2nd ed.). CV. Andi Offset.
Siregar, B. (2022). OPTIMASI: Program Linear dengan R. Diakses pada 10 November 2023 dari https://rpubs.com/dsciencelabs/optimasi2
Subakdo, W. A., & Nugroho, Y. A. (2016). In-Bound Dan Out-Bound Logistic pada Distribusi Lpg 3 Kg di Indonesia. Seminar Nasional Sains Dan Teknologi Fakultas Teknik Universitas Muhammadiyah Jakarta. https://jurnal.umj.ac.id/index.php/semnastek/article/view/749/694. [doi number]
Trihudiyatmanto, M. (2018). Riset Operasi (Operation Research) & Penyelesaian Menggunakan Software WinQSB (M. Nasrudin, Ed.; Pertama). PT. Nasya Expanding Management.
Unit Ditjen Migas. (2023). Laporan Kinerja Tahun 2022 (Sub Koordinator Bagian Rencana dan Laporan, Ed.). Direktorat Jenderal Minyak dan Gas Bumi.
Wahyu, S. R., Rohima, A., Handayani, K. F., & Fauzi, M. (2021). Optimalisasi Biaya Distribusi Kain Mentah di PT PQR Menggunakan Metode VAM (Vogel’s Approximation Method) dan Lingo. Jurnal Bayesian: Jurnal Ilmiah Statistika Dan Ekonometrika, 1(2), 91–99. [doi number]http://bayesian.lppmbinabangsa.id/index.php/home
DOI: http://dx.doi.org/10.22441/ijiem.v5i2.27288
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