Optimization of Multi-Product Distribution with Modification of The Modified Exponential Approach Method

Authors

  • Dwi Pajriah Universitas Tanjungpura, Indonesia
  • Meliana Pasaribu Universitas Tanjungpura, Indonesia
  • Mariatul Kiftiah Universitas Tanjungpura, Indonesia

Keywords:

Allocation, intermediary, transshipment issues

Abstract

In the distribution of several different products, there is a condition where product allocation is not appropriate or there is a multi-product transportation problem. As a result, it is necessary to analyze the appropriate product allocation with minimum shipping costs. In solving this problem, a multi- product transportation problem model and modification of the Modified Exponential Approach method are proposed to obtain an allocation for each product with minimum shipping costs. In the case of the distribution of sweet snack products and spicy/salty snacks at the MSME Giu Store. Delivery is carried out using delivery services (J&T Express, Surya Cargo) and private delivery. Therefore, this problem is a form of transshipment problem. This problem is transformed into a multi-product transportation problem and solved by modifying the Modified Exponential Approach method. The calculation results show that private delivery is inefficient. It is recommended that products be distributed by J&T Express with delivery to the Sambas, Sekadau, and Sintang areas. Surya Cargo delivers to the Sanggau, Mempawah, and Singkawang areas. With this allocation, a minimum distribution cost of Rp 1,378,398 is obtained.

References

Aisyah, I. Purnamasari, and Y. N. Nasution, ‘Penerapan Metode Vogel’s Aproximation Method (VAM) dan Modifed Distribution (MODI) dalam Penyelesaian Transshipment Problem’, J. Eskponesial, vol. 9, no. 2, pp. 187–196, 2018.

S. Simanjorang and F. Ahyaningsih, ‘Optimalisasi Masalah Transshipment dengan Menggunakan Vogel Approximation Method pada Distribusi Plastik di PT. Sentosa Plastik Medan’, Karismatika Kumpul. Artik. Ilm. Inform. Stat. Mat. Dan Apl., vol. 3, no. 2, pp. 118–129, 2017, doi: 10.24114/jmk.v3i2.8804.

M. Safir, S. Musdalifah, and D. Lusiyanti, ‘Optimalisasi Pendistribusian Pupuk di Wilayah Sulawesi Tengah melalui Model Transshipment dengan Menggunakan Metode Vogel Approximation’, J. Ilm. Mat. Dan Terap., vol. 12, no. 2, pp. 211–221, 2016, doi: 10.22487/2540766X.2015.v12.i2.7913.

F. H. Batu Bara and R. Widyasari, ‘Penerapan Metode Transportasi dan Transhipment Menggunakan Linear Programming dalam Efisiensi Biaya Distribusi Barang’, J. Media Inform. Budidarma, vol. 7, no. 1, pp. 128–137, 2023, doi: 10.30865/mib.v7i1.5424.

I. W. Ardhyani, ‘Mengoptimalkan Biaya Distribusi Pakan Ternak Dengan Menggunakan Metode Transportasi (Studi Kasus di PT. X Krian)’, Tek. Eng. Sains J., vol. 1, no. 2, p. 95, Dec. 2017, doi: 10.51804/tesj.v1i2.128.95-100.

A. Lasmana, ‘Metode Transportasi pada Program Linear untuk Pendistribusian Barang’, J. Mat., vol. 20, no. 1, pp. 35–41, 2021.

S. E. Vannan and S. Rekha, ‘A New Method for Obtaining an Optimal Solution for Transportation Problems’, Int. J. Eng. Adv. Technol. IJEAT, vol. 2, no. 5, pp. 369–371, 2013.

D. A. Hidayat, S. Khabibah, and Suryoto, ‘Metode Improved Exponetial Approach dalam Menentukan Solusi Optimum pada Masalah Transportasi’, J. Mat., vol. 6, 2016.

S. Basriati, E. Safitri, and W. Yustari, ‘Aplikasi Metode Improved Exponential Approach untuk Mendapatkan Solusi Optimum Pendistribusian Komoditas (Studi Kasus: PT. Tirta Sumber Mekarsari)’, J. Sains Mat. Dan Stat., vol. 5, no. 2, pp. 119–128, 2019, doi: 10.24014/jsms.v5i2.7659.

W. Nurazian, Helmi, and M. Pasaribu, ‘Metode Modified Exponential Approach dalam Menyelesaikan Masalah Transportasi Tidak Seimbang’, Bul. Ilm. Math Stat Dan Ter. Bimaster, vol. 11, no. 02, pp. 367–354, 2022, doi: 10.26418/bbimst.v11i02.53509.

C. N. Santoso, P. Widjaja, and L. Cahyadi, ‘Model Matematika Untuk Masalah Transportasi Lebih dari Satu Produk [Mathematical Models for Transportation Problems Involving More than One Product]’, FaST - J. Sains Dan Teknol. J. Sci. Technol., vol. 6, no. 2, p. 103, 2022, doi: 10.19166/jstfast.v6i2.5340.

H. A. Taha, Operations Research An Introduction, 10th ed. Harlow: Pearson Education, 2017.

H. A. Taha, Riset Operasi, 5th ed. Jakarta: Bina Aksara, 1996.

A. Febrianti, N. K. T. Tastrawati, and K. Sari, ‘Penyelesaian Masalah Transshipment dengan Metode Perbaikan ASM dan Revised Distribution’, E-J. Mat., vol. 11, no. 4, pp. 256–267, 2022, doi: 10.24843/MTK.2022.v11.Io4.P390.

J. J. Siang, Riset Operasi dalam Pendekatan Algoritmis. Yogyakarta: CV Andi Offset, 2011.

Downloads

Published

2025-05-30

How to Cite

Pajriah, D., Pasaribu, M., & Kiftiah, M. (2025). Optimization of Multi-Product Distribution with Modification of The Modified Exponential Approach Method. KUBIK: Jurnal Publikasi Ilmiah Matematika, 10(1), 20–33. Retrieved from https://journal.uinsgd.ac.id/index.php/kubik/article/view/40003

Issue

Vol. 10 No. 1 (2025): IN PRESS

Section

Articles

Citation Check

License

Copyright (c) 2025 Dwi Pajriah, Meliana Pasaribu, Mariatul Kiftiah

Creative Commons License

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

Authors who publish in KUBIK: Jurnal Publikasi Ilmiah Matematika agree to the following terms:

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) 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).

 

Â