Batch process plays an important role in various fields of industrial production, such as chemical engineering and pharmacy, given its characteristics such as small batch size, flexible production, and additional value of the product. Efforts to integrate the scheduling and process control for improving the benefits of batch process are recent. The integration of scheduling and process control is described by state equipment network which is closely related to the processing variables due to the feature of the network structure of the batch process where material splitting and mixing are allowed. The integrated formulation invokes logical disjunctions and operational dynamics which represents a typical mixed-logic dynamic optimization (MLDO) problem. To solve such a MLDO problem, we transform it into a mixed-integer nonlinear program (MINLP) using the Big M reformulation and the simultaneous collocation method. Then, the MINLP problems are solved through a generalized Benders decomposition (GBD) approach and genetic algorithm. The decomposed master problem is a scheduling problem with variable processing times, processing costs, and the Benders cut. Accordingly, the genetic algorithm is implemented to increase benefit. The primal problem comprises a set of separable dynamic optimization problems in the processing units. By collaboratively optimizing the process scheduling and dynamics, the proposed method substantially improves the overall economic performance of the batch production. At last, the feasibility and superiority of the proposed integration model and optimization algorithm can be determined by dealing with specific production instances.

批处理工艺具有小批量，灵活生产和产品附加值等特点，在化学工程和制药等工业生产的各个领域中都起着重要作用。最近，努力将调度和过程控制相集成以提高批处理过程的好处。调度和过程控制的集成由状态设备网络描述，该状态设备网络与处理变量密切相关，这归因于批处理过程的网络结构的特征，其中允许物料拆分和混合。集成的公式调用逻辑分离和操作动力学，这代表了典型的混合逻辑动态优化（MLDO）问题。为了解决这样的MLDO问题，我们使用Big M重新编制和同时配置方法将其转换为混合整数非线性程序（MINLP）。然后，通过广义Benders分解（GBD）方法和遗传算法解决MINLP问题。分解后的主问题是具有可变处理时间，处理成本和折弯机切割的调度问题。因此，实施遗传算法以增加收益。基本问题包括处理单元中的一组可分离的动态优化问题。通过协同优化过程调度和动力学，该方法大大提高了批量生产的总体经济性能。最后，