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International Journal of Science, Strategic Management and Technology

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TRANSPORTATION MODELS FOR COST MINIMIZATION IN DISTRIBUTION LOGISTICS

AUTHORS:
Akshat Mehta
Akul Kasera
Anannya Sane
Aditya Misra
Anvi Gadiyar
Mentor
Prof. Tejaswini Angre
Affiliation
Operations Research
CC BY 4.0 License:
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Transportation planning is a central operations research problem because organizations must allocate limited supply across multiple destinations while controlling the cost of movement. This paper reviews the role of classical transportation models and initial basic feasible solution methods in distribution cost minimization, with particular attention to the Northwest Corner Method (NWC), Least Cost Method (LCM), Row Minima Method (RMM), and Vogel's Approximation Method (VAM). A focused review of selected peer-reviewed literature is combined with a case study of MAISANGO Cement Nigeria Plc. The studies considered here indicate that transportation problems have developed from classical deterministic allocation models toward broader logistics and supply-chain formulations that incorporate multiple objectives, uncertainty, larger networks, and more advanced computational approaches. Within the classical methods, the literature consistently treats NWC, LCM and VAM as procedures for generating an initial basic feasible solution, rather than as guaranteed optimality methods. The MAISANGO case provides a concrete comparison: all four methods ultimately reach the reported optimal transportation cost of NGN 145,140, while their initial solutions and reported iteration requirements differ substantially. VAM begins at NGN 145,380 and reaches the reported optimum in two iterations. The case therefore shows why these classical methods remain useful, both for understanding transportation models and for handling relatively straightforward distribution decisions and their limitations when real distribution systems become dynamic, uncertain, capacity-constrained, or multi-objective. The paper concludes by identifying directions for extending classical transportation models toward more realistic logistics decision-making.

 
Keywords
operations research; transportation problem; linear programming; Vogel's Approximation Method; Northwest Corner Method; logistics; distribution; cost minimization; supply chain
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Mehta, A., Kasera, A., Sane, A., Misra, A. & Gadiyar, A. (2026). Transportation Models for Cost Minimization in Distribution Logistics. International Journal of Science, Strategic Management and Technology, 02(9), 1-9. https://doi.org/10.55041/ijsmt.v2i9.022

Mehta, Akshat, et al.. "Transportation Models for Cost Minimization in Distribution Logistics." International Journal of Science, Strategic Management and Technology, vol. 02, no. 9, 2026, pp. 1-9. doi:https://doi.org/10.55041/ijsmt.v2i9.022.

Mehta, Akshat,Akul Kasera,Anannya Sane,Aditya Misra, and Anvi Gadiyar. "Transportation Models for Cost Minimization in Distribution Logistics." International Journal of Science, Strategic Management and Technology 02, no. 9 (2026): 1-9. https://doi.org/https://doi.org/10.55041/ijsmt.v2i9.022.

References
Abdullahi, I., Kankarofi, R. H., Yakubu, U. A., Mandara, A. V., & Murtala, S. (2020). Minimizing Cost of Transportation by Vogel's Approximation Method: A Case Study of MAISANGO Cement Nigeria Plc. Malaysian Journal of Computing and Applied Mathematics, 3(2), 36-44. https://doi.org/10.37231/myjcam.2020.3.2.50

Malacký, P., & Madleňák, R. (2023). Transportation problems and their solutions: literature review. Transportation Research Procedia, 74, 323-329. https://doi.org/10.1016/j.trpro.2023.11.151

Mula, J., Peidro, D., Díaz-Madroñero, M., & Vicens, E. (2010). Mathematical programming models for supply chain production and transport planning. European Journal of Operational Research, 204(3), 377-390. https://doi.org/10.1016/j.ejor.2009.09.008

Nursafwah, Matondang, N., & Ishak, A. (2023). A Literature Review of Distribution Solving Problems by Various Transportation Methods. Jurnal Sistem Teknik Industri, 25(2), 178-187. https://doi.org/10.32734/jsti.v25i2.9741

Rafi, F. S., & Islam, S. (2020). A Comparative Study of Solving Methods of Transportation Problem in Linear Programming Problem. Journal of Advances in Mathematics and Computer Science, 35(5), 45-67. https://doi.org/10.9734/jamcs/2020/v35i530281

Shore, H. H. (1970). The transportation problem and the Vogel approximation method. Decision Sciences, 1(3-4), 441-457. https://doi.org/10.1111/j.1540-5915.1970.tb00792.x

Zhang, N. L., & Xie, F. R. (2025). A Review of Research on the Transportation Problem. Open Journal of Applied Sciences, 15, 1168-1177. https://doi.org/10.4236/ojapps.2025.155081

Manerba, D., Mansini, R., & Riera-Ledesma, J. (2017). The Traveling Purchaser Problem and its variants. European Journal of Operational Research, 259(1), 1-18. https://doi.org/10.1016/j.ejor.2016.12.017
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This article has undergone plagiarism screening and double-blind peer review. Editorial policies have been followed. Authors retain copyright under CC BY-NC 4.0 license. The research complies with ethical standards and institutional guidelines.
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