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MATHEMATICAL MODEL OF THE TRANSPORT PROBLEM AND OPTIMAL SOLUTION METHODS

Mamatova Zilolakhon Khabibullokhonovna,Numonova Malakhat Akmaljon kizi , Fergana State University

Abstract

The transportation problem is an optimization problem aimed at finding a plan for transporting goods from the points of departure to the points of reception with minimal cost. Based on the given cargo stocks, requirements and transportation prices, the objective function is minimized. An initial plan is created using the “Northwest Corner” and “Small Elements” methods, and the optimal plan is determined using the potential method. In the example, the minimum cost is achieved.

Keywords

Transportation problem, optimization, tariff matrix, base plan, Northwest corner method, Finite element method, potential method, objective function.

References

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MATHEMATICAL MODEL OF THE TRANSPORT PROBLEM AND OPTIMAL SOLUTION METHODS. (2025). International Journal of Artificial Intelligence, 5(04), 1256-1263. https://www.academicpublishers.org/journals/index.php/ijai/article/view/4068