THE TRANSPORTATION PROBLEM

Abstract

“Mathematics is the queen of the sciences” – Carl Friedrich. In our daily life, planning is essential on various occasions, especially when resources are limited. Transportation problem include optimizing the allocation and distribution of goods from multiple sources to multiple destinations. It provides a structured mathematical structure for analyzing real-world logistics scenarios. Its importance in mathematics lies in its potential to convert complex logistical systems into solvable linear models, providing exact solutions through methods such as the Vogel’s Approximation Method (VAM), and the Modified Distribution Method (MODI). The aim of this paper is to examine improved or hybrid optimization techniques that can describe the limitations and provide more accurate, adaptable, and efficient solutions to transportation problems.