Efficient inventory management is crucial for reducing costs and improving service levels in supply chains. This paper presents the application of a Hybrid Particle Swarm Optimization (PSO) algorithm, which combines PSO with Genetic Algorithms (GAs), to optimize inventory management. The implementation is evaluated using real-world datasets to demonstrate the efficiency, accuracy, and cost-saving benefits of this approach. We also explore the performance and convergence improvements achieved through hybridization, providing a detailed analysis of the results.