The lot-sizing and production scheduling problem of a real-life beverage industry is studied in this work. The plant under consideration produces numerous intermediate and final products weekly, through multiple production stages, processing units and shared resources. The production process involves unique aspects, including the potential temporary storage of intermediate products in preparation units before their utilization for the production of various final products. Moreover, overtime shifts can be employed for the timely satisfaction of pending orders. A multi-bucket immediate precedence Mixed-Integer Linear Programming (MILP) framework is developed to address the specific features of the industrial process while minimizing plant's operating time. Additionally, the introduction of intermediate storage vessels is examined and the mathematical model is extended to accommodate the new production layout. A comparative analysis between the two production layouts is conducted, revealing significant productivity improvements which can be achieved through simple retrofit design options.

这项工作研究了现实饮料行业的批量大小和生产调度问题。考虑中的工厂每周通过多个生产阶段、加工单元和共享资源生产大量中间产品和最终产品。生产过程涉及独特的方面，包括中间产品在用于生产各种最终产品之前可能暂时储存在制备装置中。此外，还可以采用加班的方式来及时满足待处理订单。开发了多桶立即优先混合整数线性规划 (MILP) 框架来解决工业过程的特定特征，同时最大限度地减少工厂的运行时间。此外，还检查了中间储存容器的引入，并扩展了数学模型以适应新的生产布局。对两种生产布局进行了比较分析，揭示了通过简单的改造设计选项可以实现显着的生产率提高。