Real World Application of Transportation Problem: A Case Study Approach

The transportation problem is a foundational concept in linear programming broadly used in supply chain logistics supply chain management, and operations research to determine the most efficient allocation of resources from multiple sources to various destinations while minimizing transportation costs.We have various paths to from source to destination but in transportation method we find a path which has minimum transportation cost and less time consuming.A user decides the path which has most effective and more efficient.This review paper provides a detailed examination of the transportation problem, beginning with its mathematical formulation and classical solution methods, including the North West Corner Rule, Least Cost Method, and Vogel's Approximation Method.The paper delves into modern optimization strategies such as LP solvers, heuristic algorithms, and artificial intelligence techniques that increase both the efficiency and flexibility of the model.Additionally, the paper highlights practical applications across industries, evaluates the structural strengths and limitations of existing models, and summarizes key findings from past research.