CONDUCT RESEARCH ON THE FORMULATION AND SOLUTION OF TRANSPORTATION PROBLEMS
Abstract
This study examines the formulation and solution approaches of the transportation problem as a fundamental model within operations research and optimization theory. The research focuses on the mathematical structure of the transportation model, its practical relevance in logistics and resource allocation, and the comparative efficiency of classical and modern solution methods. The transportation problem is analyzed as a special case of linear programming aimed at minimizing total transportation cost while satisfying supply and demand constraints. The research additionally discusses practical limitations encountered in real transportation systems, including unbalanced models, degeneracy, and dynamic changes in demand and supply. Special attention is given to the role of algorithmic efficiency and decision accuracy in large-scale transport planning. The findings highlight that the choice of initial feasible solution and optimization strategy significantly affects computational performance and overall solution quality. The study contributes to a clearer methodological understanding of transportation model construction and provides a structured analytical framework that can be applied in logistics management, production planning, and supply chain optimization.