In an increasingly digitized, integrated, and connected production environment, the coordination of complex coupled systems of systems is essential to ensure a resource efficient and optimal operation. Large production sites or industrial clusters are such systems, where the coordination is challenging. One of the challenges is the physical coupling of the individual production plants via networks of shared resources such as steam, intermediates, wastewater or heating gas. If only a restricted amount of business relevant data can be exchanged within the system, distributed market-like coordination methods can be used to establish an auction in a micro market to optimally balance the shared resource networks. The drawback of these methods is their slow rate of convergence. Thus, we propose an efficient hierarchical market-like coordination algorithm that approximates the responses of the subsystems to find the optimal solution within fewer iterations. We demonstrate the efficiency of approach for two numerical case studies.

在日益数字化，集成和连接的生产环境中，系统的复杂耦合系统之间的协调对于确保资源高效和最佳运行至关重要。大型生产基地或产业集群就是此类系统，其中的协调工作极具挑战性。挑战之一是通过共享资源网络（如蒸汽，中间体，废水或加热气体）将各个生产工厂进行物理耦合。如果只能在系统内交换有限数量的业务相关数据，则可以使用类似分布式市场的协调方法来在微型市场中建立拍卖，以最佳地平衡共享资源网络。这些方法的缺点是收敛速度慢。因此，我们提出了一种高效的类似于市场的分层式协调算法，该算法可以近似子系统的响应，以在更少的迭代中找到最佳解决方案。我们证明了两个数值案例研究方法的有效性。