Optimization of Red Chili Delivery Routes From Production Centers to Market to Minimize Distances with the Modified Distribution (MODI) Method

Authors

DOI:

https://doi.org/10.30605/proximal.v9i3.9705

Keywords:

Transportation Model, North West Corner, Modified Distribution (MODI), Distribution Optimization, Red Chili

Abstract

The distribution of red chili from the production center to the market faces the problem of determining efficient routes due to differences in distance, supply capacity, and market needs. This study aims to form a transportation model and determine a delivery pattern of red chili that can meet all market demand while minimizing the total distribution distance as the objective function. The research data came from Tanjung Kubah, Sukaramai, and Aras villages as well as four destination markets, namely Indrapura, Air Putih, Simpang Dolok, and Pagurawan. The approach used was a transportation model with the North West Corner (NWC) method to obtain an initial solution and the Modified Distribution Method (MODI) to test and improve optimality. The total supply and total demand was 20,000 kg each so that the model was in a balanced condition. The calculation results in the thesis show that the initial NWC solution has a value of 222,000, while the results of the first iteration of MODI are stated to be 214,000, with a saving of 8,000. All opportunity cost values in the final result are declared positive or equal to zero, so the solution is considered optimal. The optimal allocation pattern reported is Tanjung Kubah to Indrapura 6,000 kg, Tanjung Kubah to Air Putih 2,000 kg, Sukaramai to Air Putih 3,000 kg, Sukaramai to Simpang Dolok 4,000 kg, and Aras to Pagurawan 5,000 kg. These findings show that MODI can be used as a data-driven approach to help with red chili distribution planning.

References

Alfianti, W., Kurnia, R., Oktaviani, R., & Fauzi, M. (2020). Application of the Modified Distribution Method (MODI) for optimizing the distribution cost of medical device products. Lebesgue: Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika, 2(2), 166–179. https://doi.org/10.46306/lb.v2i2.66

Ali, M., Nurhayati, N., & Batubara, A. A. (2024). Selection of marketing staff using Simple Additive Weight and VIKOR algorithm. Journal of Computers and Digital Business, 3(3), 121–128. https://doi.org/10.56427/jcbd.v3i3.600

Arofah, I., & Gesthantiara, N. N. (2021). Optimizing the cost of distribution of goods by using a transportation model. JMT (Journal of Mathematics and Applications), 3(1), 1–9. https://doi.org/10.21009/jmt.3.1.1

Askerbeyli, R. (2021). Study of transportation problem of iron and steel industry in Turkey based on linear programming, VAM and MODI methods. Communications Faculty of Sciences University of Ankara Series A2-A3, 62(1), 79–99. https://doi.org/10.33769/aupse.740416

Hao, H., & Dai, F. (2021). A design and development of WebGIS distribution system based on smart logistics. Journal of Robotics, Networking and Artificial Life, 8(3), 201–204. https://doi.org/10.2991/jrnal.k.210922.010

Harahap, L. M., Ambarita, C. M. B., Cahyati, D. U., Sihotang, M. M., Situmorang, R., & Silaban, M. Y. (2023). Literature study: Comparison of the effectiveness of the Stepping Stone method and the Modified Distribution (MODI) method for optimizing transportation costs. Economic: Journal of Economic and Business, 2(3), 72–76. https://doi.org/10.56495/ejeb.v2i3.612

Hayuningtyas, M., Marimin, & Yuliasih, I. (2020). Performance improvement, risk mitigation and institutional analysis in the red chili supply chain in Garut Regency. Journal of Agricultural Industrial Technology, 30(1). https://doi.org/10.24961/j.tek.ind.pert.2020.30.1.22

Kartika, R., Taufik, N., & Lestari, M. N. (2020). Distribution optimization with the transportation method. Indonesian Journal of Management and Business Science, 10(2), 246–254. https://doi.org/10.32528/jsmbi.v10i2.4123

Ningsih, I. W., Wahyuni, I., & Malik, A. (2020). Analysis of red chili supply chain in Jambi City, Jambi Province. Journal of Agribusiness and Local Wisdom, 3(2), 87–99. https://doi.org/10.22437/jalow.v3i2.11623

Ranti, N., Bayhaqi, I., & Rahmatika, D. (2022). Determination of routes and transportation costs of fresh fruit bunches by the North West Corner method. Journal of Mechanical and Industrial Engineering (JuTMI), 1(2), 37–43. https://doi.org/10.55331/jutmi.v1i2.17

Sofiati, D. (2020). Optimization model of marketing distribution fish processed products by transportation method. Economic and Social of Fisheries and Marine Journal, 8(1), 68–81. https://doi.org/10.21776/ub.ecsofim.2020.008.01.06

Susanawati, Akhmadi, H., & Fauzan, M. (2021). Supply chain efficiency of red chili based on the performance measurement system in Yogyakarta, Indonesia. Open Agriculture, 6(1), 202–211. https://doi.org/10.1515/opag-2021-0224

Syahruddin, A. G., Gaffar, A., Burhanudin, B., & Amarilies, H. S. (2023). Comparison of LPG bottle distribution cost using North West Corner and Least Cost methods (Case study at PT ABC in Samarinda). Proceedings of the International Conference on Sustainable Engineering, Infrastructure and Development. https://doi.org/10.4108/eai.23-11-2022.2339153

Syam, R., Ihsan, H., & Muktamar, M. I. (2021). Optimization of water distribution with the North West Corner method and the Modified Distribution method at PDAM Wae Manurung, Bone Regency. Journal of Mathematics, Computations and Statistics, 4(2), 102. https://doi.org/10.35580/jmathcos.v4i2.24444

Wang, D. (2021). A data-driven and knowledge-driven method towards the IRP of modern logistics. Wireless Communications and Mobile Computing, 2021. https://doi.org/10.1155/2021/6625758

Wigati, L. P., Mardjan, S. S., & Darmawati, E. (2020). Post-harvest handling evaluation of red chili along the supply chain in Sukabumi. AGROINTEK, 14(2), 191–198. https://doi.org/10.21107/agrointek.v14i2.5992

Downloads

Published

2026-09-15

How to Cite

Optimization of Red Chili Delivery Routes From Production Centers to Market to Minimize Distances with the Modified Distribution (MODI) Method. (2026). Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 9(3), 791-801. https://doi.org/10.30605/proximal.v9i3.9705