随着智能化进程的加快，数字孪生技术成为物理调度车间与虚拟调度模型交互融

With the acceleration of the intelligentization process, digital twin technology has become an effective way to interact and integrate the physical scheduling workshop and the virtual scheduling model. Through the digital twin, the real-time data of the physical space can be received in the virtual scheduling model for related scheduling simulation and prediction, and the simulation prediction results can be fed back to the workshop site to adjust the scheduling plan [18,19], in order to improve multi-objective flexibility The real-time and predictability of job shop scheduling provides solutions to promote the intelligent operation of manufacturing systems.

With the acceleration of intelligent process, digital twin technology has become an effective way for the interactive integration of physical scheduling workshop and virtual scheduling model. Through digital twinning, we can not only receive the real-time data of physical space in the virtual scheduling model for relevant scheduling simulation and prediction, but also feed back these simulation and prediction results to the workshop site for scheduling scheme adjustment [18,19], which provides a solution to improve the real-time and predictability of multi-objective flexible job shop scheduling, so as to promote the intelligent operation of manufacturing system.<br>

With the acceleration of the intelligent process, digital twinning technology has become an effective way to integrate the physical scheduling workshop with the virtual scheduling model. Through digital twinning, real-time data of physical space can be received in the virtual scheduling model for relevant scheduling simulation and prediction, and the simulation prediction results can also be fed back to the workshop site to adjust the scheduling scheme [18,19], which provides a solution for improving the real-time and predictability of multi-objective flexible job shop scheduling, thus promoting the intelligent operation of manufacturing system.