A mathematical modeling approach for job allocation at STMicroelectronics

The operative management of jobs in semiconductor fabrication plants (FABs) is highly challenging due to the complexity and scale of their processes. Inefficiencies in a FAB can disrupt the entire supply chain, increase production costs, and cause financial losses for downstream industries. This paper focuses on the Process Capacity Planning problem by proposing a novel approach that integrates with existing practices at ST. The method combines a Mixed Integer Linear Programming Model (MILP) with the FAB's Digital Twin (DT), enhancing the robustness and adaptability of the MILP-generated solution. Numerical validation is conducted on instances derived from the industrial case.