Penyelesaian Masalah Transshipment pada Pendistribusian Tempe Menggunakan Metode Max-Min

Authors

  • Febriana Febriana Universitas Tanjungpura, Indonesia
  • Helmi Helmi Universitas Tanjungpura, Indonesia
  • Fransiskus Fran Universitas Tanjungpura, Indonesia

DOI:

https://doi.org/10.31316/j.derivat.v11i3.6541

Abstract

Tempe is a daily food of Indonesian people that is famous for its high nutritional content. One of the home industries that produce tempe in Pontianak City is Pabrik Tempe Tuan Y. In distributing tempe, Pabrik Tempe Tuan Y  applies a transshipment system with two markets as transit points, where these two markets have different locations. This study aims to determine the solution to the tempe distribution problem and determine the minimum distribution cost that can be incurred by Pabrik Tempe Tuan Y. The problem in this study is a transshipment problem with mixed constraints, where the source and destination constraints consist not only of equation signs but also inequality signs. The Max-Min method is a method for solving transshipment problems with mixed constraints that can be used to obtain optimal solutions from solving all types of transshipment problems. The transshipment problem is organized in the form of a transportation table. The table is then solved using the Max-Min method. The results showed a decrease in total transportation costs from Rp 292,136.00 to Rp 260,193.00 with a cost difference of Rp 31,943.00.

 Keywords: Transportation Problem, Transshipment Problem with Mixed Constraints, Max-Min Method.

References

Agustina, E. S., Sonani, N., Awaluddin, Kardini, N. L., & Aghivirwiati, G. A. (2023). Manajemen Distribusi. Batam: Yayasan Cendikia Mulia Mandiri.

Aisyah, Purnamasari, I., & Nasution, Y. N. (2018). Penerapan Metode Vogel’s Approximation Method (VAM) dan Modified Distribution (MODI) Dalam Penyelesaian Transshipment Problem. Jurnal EKSPONENSIAL, 9(2), 187–196.

Basriati, S., Andriati, R., Safitri, E., Matematika, J., Sains dan Teknologi, F., Sultan Syarif Kasim Riau Jl Soebrantas No, U. H., & Baru, S. (2018). Penyelesaian Model Transshipment dengan Metode Least Cost, North West Corner dan vogel’s Approximation Method (Studi Kasus: PT. Subur Bangun Transport). Seminar Nasional Teknologi Informasi, Komunikasi Dan Industri (SNTIKI-10, November, 2579–5406.

Batubara, P.. Rosmaini, E., & Nababan, E. (2018). Kajian Masalah Transshipment Tidak Seimbang Menggunakan Metode Least Cost - Stepping Stone Dan Metode Least Cost - Modi. TALENTA Conference Series: Science & Technology, 1(1).

Khurana, A. (2015). Variants of transshipment problem. European Transport Research Review, 7(2).

Kristiadi, O. H., & Lunggani, A. T. (2022). TEMPE KACANG KEDELAI SEBAGAI PANGAN FERMENTASI UNGGULAN KHAS INDONESIA: LITERATURE REVIEW Tempeh as Indonesian Special Fermented Food: Literature Review. Jurnal Andaliman-Jurnal Gizi Pangan, Klinik Dan Masyarakat, 2(2), 48–56.

Kumari, N., & Kumar, R. (2016). Span Method for Solving The Transshipment Problem with Mixed Constraints. International Journal of Mathematical Sciences and Enginering, 10(I), 221–232.

Kumari, N., & Kumar, R. (2017). Max-Min Method for Solving Transshipment Problem with Mixed Constraints. Global Journal of Pure and Applied Mathematics, 13(12), 8373–8386.

Kumari, N., & Kumar, R. (2018). Zero Suffix Method for the Transshipment Problem with Mixed Constraints. 9(3), 242–251.

Kurnia, N.S., Septiawan, D., & Anggraeni, N.F. (2020). Analisis Masalah Transhipment Menggunakan Software Lingo Di Pt.Sbt. Jurnal Ilmiah Teknologi Infomasi Terapan, 6(2), 94–99.

Nufus, H., & Nurdin, E. (2016). Program Linear. Pekanbaru: Cahaya Firdaus.

Safir, M., Musdalifah, S., & Lusiyanti, D. (2017). Optimalisasi Pendistribusian Pupuk Di Wilayah Sulawesi Tengah Melalui Model Transshipment Dengan Menggunakan Metode Vogel Approximation. Jurnal Ilmiah Matematika Dan Terapan, 12(2), 211–221.

Trihudiyatmanto, M. (2018). Riset Operasional (Operation Research) & Penyelesaian Menggunakan Software WinQSB. Pekalongan: PT Nasya Expanding Management.

Zulfikar, M. R., Isdy, A. P., Haryadi, F., & Fauzi, M. (2021). Analisis Perbandingan Biaya Transshipment Metode Vogel Approximation Method (Vam) Dengan Lingo Pada Distribusi Sepeda Motor Di Pt. Abc. Jurnal Ilmiah Teknik Dan Manajemen Industri, 1(1), 1–9.

Zulyadaini. (2017). Program Linier. Yogyakarta: Tangga Ilmu.

Downloads

Published

2024-12-28

Issue

Vol. 11 No. 3 (2024): Jurnal Derivat (Desember 2024)

Section

Articles

Citation Check

License

Copyright (c) 2025 Fransiskus Fran, Febriana Febriana, Helmi Helmi

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Authors who publish with this journal agree to the following terms:

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-ShareAlike 4.0 International License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).