Efficiency of the Simplex Method in Solving Transportation Problems

This study examines the efficiency of the Simplex Method in solving transportation problems related to the Abna Al-Mashat Cement Brick Factory. It focuses on optimizing the transportation of raw materials, such as gravel, from quarries to production units, which is crucial for reducing operational costs. A range of quantitative methods, including the Least Cost Method, Northwest Corner Method, and Vogel's Approximation Method, were employed to compare their effectiveness with the Simplex Method. The study aims to translate the problem from an economic formulation into a mathematical model, enabling the use of the Simplex Method for efficient resolution. Data on transportation costs, production capacity, and distances between quarries and production centers were analyzed. The results indicated that the Simplex Method provides a cost-effective solution while achieving a balance between supply and demand. The study highlights the significance of utilizing quantitative methods in transportation decision-making, contributing to improved operational efficiency and cost reduction. It recommends adopting the Simplex Method as a primary tool for transportation management in production enterprises.