Optimisasi Transportasi Pada Lingkungan Kabur Dengan Penerapan North West Corner dan Fuzzy Modified Distribution Method

Gilbert Pauly Hamonangan Tambunan, Parapat Gultom, Sawaluddin Sawaluddin, Muhammad Romi Syahputra

Abstract


Distribution of agricultural commodities to processing industries requires quite large costs. This is caused by suboptimal allocation. Optimal allocation must take into account differences in transportation distribution costs in each destination area. Pamah Village has a corn commodity, corn which is produced during the harvest season. In each harvest season, the harvest is sold to 5 collectors. From these collectors, it is marketed to 12 corn processing industries. In optimizing allocation and minimizing distribution costs, it is completed using a fuzzy approach and the North West Corner method to get an initial solution, as well as the Fuzzy Modified Distribution method to get an optimal solution. The results of this research resulted in distribution of deliveries from 5 collectors to 12 corn processing industries with a minimum total cost of Rp 1,410,507,435.00. 


Keywords


Distribusi; Metode North West Corner; Metode Fuzzy Modified Distribution; Transportasi

References


Abdur Rozaq, D. (2019). Pengaruh Moda Transportasi Terhadap Perekonomian Masyarakat Secara Spasial Di Gunung Gambir, Kecamatan SumberBaru, Kabupaten Jember. Jurnal Geografi Gea, 19(2), 88–92.

Affandi, P. (2019). Buku Ajar Riset Operasi. www.irdhcenter.com

Andriani, P., & Cipta, H. (2023). Optimasi Biaya Distribusi Kusen Pintu Menggunakan Model Transportasi Northwest Corner Method, Russel Approximation Method, dan Stepping Stone. Jurnal Media Informatika Budidarma, 7(1), 58–65. https://doi.org/10.30865/mib.v7i1.5224

Astuti. (2011). Operations Research (Riset Operasi). In Buku Riset Operasi (Vol. 1).

Basriati, S., Safitri, E., Riafani, R. (2019). Penyelesaian Biaya Fuzzy dalam Sistem Transportasi Fuzzy (Studi Kasus: CV. Anak Daro). Jurnal Sains Matematika Dan Statistika, 5(1), 99–106.

Dedi Irawan, M., & Herviana. (2018). Implementasi Logika Fuzzy Dalam Menentukan Jurusan Bagi Siswa Baru Sekolah Menengah Kejuruan (Smk) Negeri 1 Air Putih. Jurnal Teknologi Informasi, 2(2), 129–137.

Defy Kartika, M. (2017). Perbandingan Metode Modified Zero Suffix dengan Modified Distribution (MODI) untuk Menyelesaikan Masalah Transportasi Fuzzy. Universitas Negeri Jakarta.

Dhanasekar, S., Hariharan, S., & Sekar, P. (2017). Fuzzy Hungarian MODI Algorithm to Solve Fully Fuzzy Transportation Problems. International Journal of Fuzzy Systems, 19(5), 1479–1491. https://doi.org/10.1007/s40815-016-0251-4

Dimasuharto, N., Subagyo, A. M., Ronggo Waluyo, J. H., Regency, K., & Java, W. (2021). Optimization of Distribution Cost of 3 Kg Gas Cylinder at Pt. Gemilang Putra Sejati Using The North West Corner, Least Cost, and Vogel Approximation Method. Business and Accounting Research (IJEBAR) Peer Reviewed-International Journal, 5. https://jurnal.stie-aas.ac.id/index.php/IJEBAR

Ginting Aprianta, E. (2023). Analisis Sensitivitas Pada Optimasi Biaya Distribusi Jagung Menggunakan Metode Vogel’s Approximation dan Metode Modified Distribution. Universitas Sumatera Utara.

Hernawati, T., & Laili, I. (2015). Pendistribusian Produk dengan VOGEL’S Approximation Method (VAM) dan Modified Distribution Method (MODI). Jurnal Konsep Bisnis Dan Manajemen, 1(2), 59–69.

Ibnas, R., Alwi, W., & Taufik, A. (2019). Penerapan Metode Modified Distribution (MODI) Dalam Meminimalisasi Biaya Transportasi Pengiriman Barang Di PT. Tirta Makmur Perkasa. MSA, 5(1), 5–10.

Imbang Paulus, P., Pratasis, P., & Walangitan, D. (2018). Optimasi Biaya Distribusi Material dengan Metode NWC (North West Corner) (Studi Kasus : Pembangunan Gedung Laboratorium Fakultas Teknik Universitas Sam Ratulangi). Jurnal Sipil Statik, 6(10), 847–852.

Jufri, A., Yusuf, A., & Thresye. (2017). Optimasi Masalah Transportasi Fuzzy Menggunakan Metode Fuzzy Modified Distribution untuk Memprediksi Biaya Angkutan Total dan Alokasi Barang (Pakan Ternak) (Studi Kasus : CV. Mentari Nusantara Feedmill). Jurnal Matematika Murni Dan Terapan ‘Epsilon’, 11(1), 38–47.

Nareshkumar, S., & Kumaraghuru, S. (2015). Solving the Transportation Problem Using Fuzzy Modified Distribution Method. IJISET-International Journal of Innovative Science, Engineering & Technology, 2(2), 478–487. www.ijiset.com

Pratiwi, E. L., Irawanto, B., & Surarso, B. (2016). Masalah Transportasi Fuzzy Bilangan Trapezoidal dengan Metode Zero Point.

Pulansari, F. (2022). Optimasi Biaya Distribusi Perusahaan Pestisida Dengan Kombinasi Metode Transportasi North West Corner Method Dan Modified Distribution Method Berbasis POM-QM. Seminar Nasional Teknik Industri Waluyo Jatmiko, 198–204.

Ramadhani, S., Sinulingga, U., & Nababan, E. (2018). Kajian Tentang Metode Zero Suffix Menggunakan Teknik Robust Ranking Pada Masalah Transportasi Dengan Variabel Fuzzy. Talenta Conference Series: Science and Technology (ST), 1(1), 16–23. https://doi.org/10.32734/st.v1i1.184

Sagaya Roseline, S., & Henry Amirtharaj, E. (2011a). Generalized Fuzzy Modified Distribution Method for Generalized Fuzzy Transportation Problem. International Multidisciplinary Research Journal, 1(10), 12–15. http://irjs.info/

Samuel, A. E., Raja, P., & Thota, S. (2020). A New Technique for Solving Unbalanced Intuitionistic Fuzzy Transportation Problems. Applied Mathematics and Information Sciences, 14(3), 459–465. https://doi.org/10.18576/AMIS/140313

Singh, S. K., & Yadav, S. P. (2016a). A New Approach For Solving Intuitionistic Fuzzy Transportation Problem Of Type-2. Annals of Operations Research, 243(1–2), 349–363. https://doi.org/10.1007/s10479-014-1724-1

Singh, S. K., & Yadav, S. P. (2016b). A Novel Approach For Solving Fully Intuitionistic Fuzzy Transportation Problem. In Int. J. Operational Research (Vol. 26, Issue 4).

Syam, R., Ihsan, H., Muktamar, M. I., Matematika, J., Matematika, F., Pengetahuan, I., Universitas, A., & Makassar, N. (2021). Optimasi Pendistribusian Air dengan Metode North West Corner dan Metode Modified Distribution di PDAM Wae Manurung Kabupaten Bone. Journal of Mathematics, Computations, and Statistics, 4(2), 102–113. http://www.ojs.unm.ac.id/jmathcos

Tarigan, M. (2023). Penyelesaian Persoalan Optimasi Transportasi Fuzzy Menggunakan Improved Vogel Approximation Method.

Thota, S., & Raja, P. (2020). New Method for Finding an Optimal Solution of Generalized Fuzzy Transportation Problems. Asian Journal of Mathematical Sciences, 4(2), 19–24. https://ssrn.com/abstract=3813697




DOI: https://doi.org/10.30743/mes.v10i1.9732

Refbacks

  • There are currently no refbacks.