Abstract
Quantitative methods play an essential role in supporting administrative decisionmaking by offering systematic and analytical tools to evaluate alternatives and optimize resource allocation. Among these approaches, linear programming stands out as a widely used technique for solving optimization problems under specific constraints. The purpose of this study is to explore the role of quantitative methods, especially linear programming, in enhancing decision-making processes, with a particular focus on fuel distribution in Libya. Considering the operational difficulties faced by the Libyan fuel sector—such as limited transport capacity, fluctuating demand, and logistical barriers—the demand for efficient and scientifically based decision-support tools has become more urgent. To tackle this problem, a transportation model based on linear programming was developed to identify the best way to distribute fuel from multiple supply points to various demand regions while reducing total transportation costs.The model was implemented using POM-QM software, and the outcomes indicate that the proposed method greatly improves distribution efficiency and lowers operational expenses. The results of this research emphasize the practical value of quantitative methods in addressing real-world logistical problems and offer meaningful insights for strengthening resource management and decision-making within the Libyan energy sector.