Process scheduling with a long time horizon always leads to large problem size, which is challenging to solve for global optimal solutions. The problem complexity further increases with the inclusion of additional tasks such as heat integration, water integration, material transfers and shared storage. Cyclic scheduling can be a potential option to handle the long time horizon scheduling problems. In this work, a novel unified three index unit-specific event-based mathematical formulation is presented for cyclic scheduling of multipurpose batch plants. The unified framework reduces to a simple case in the absence of cyclic scheduling. The task extending to the next cycle is integrated with the short term scheduling constraints using the active task concept. Further, the framework is also extended for simultaneous cyclic scheduling and heat integration of multipurpose batch plants. The computational performance of the unified framework is evaluated with benchmark examples taken from the literature.

具有较长时间范围的流程调度始终会导致问题规模大，这对于解决全局最优解决方案而言具有挑战性。随着包括热集成，水集成，材料转移和共享存储之类的其他任务，问题的复杂性进一步增加。循环调度可能是处理长时间范围调度问题的潜在选择。在这项工作中，提出了一种新颖的统一的三指标单位特定于事件的数学公式，用于多用途批处理工厂的循环调度。在没有循环调度的情况下，统一框架简化为简单情况。使用主动任务概念，将扩展到下一个周期的任务与短期调度约束集成在一起。进一步，该框架还扩展了多用途批处理厂的同时循环调度和热集成。使用参考文献中的基准示例评估统一框架的计算性能。