A Multi-Line Production System Lot Sizing Problem (Desing and Resolution)

Production planning and control research has long emphasized scheduling strategies to address fluctuating demand and resource limitations. The Lot Sizing and Scheduling Problem (LSP) remains a significant challenge due to its complexity. In multi-line production systems, finding the right amount of each product to create each time is the difficult task of lot sizing. Getting lot sizing right is crucial because it directly affects both inventory levels and customer satisfaction. This work proposes a novel model for optimizing production planning in multi-line workshops, implemented using the CPLEX solver. The model aims to maximize gains by determining the optimal production batches.