In contemporary manufacturing systems the use of the Digital Twin technology provides valuable insights for enhancing real-time performance and adaptability. Digital Twins enable real-time monitoring and optimization of processes by creating virtual replicas of physical systems, with bidirectional data flow and constant synchronization. This paper explores the utilization of a Digital Twin in optimizing the performance of a physical system within a practical application developed in the Mind4Lab Lab of the Politecnico di Torino. The study examines how the use of a Digital Twin for dynamic scheduling and reallocation of tasks can effectively mitigate production problems and failures. The research is focused on the application of the Digital Twin for processes under changing conditions, as it addresses challenges related to failures and inefficiencies within a production system.