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A new approach for scheduling of multipurpose batch processes with unlimited intermediate storage policy

机译:具有无限中间存储策略的多用途批处理流程调度的新方法

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Mathematical models for scheduling of multipurpose batch processes have been developed in the last three decades. However, none of these models, consider production and consumption tasks related to the same state at the same time event point. Furthermore, a great number of task-specific models are considered as unit-specific instead in the literature. In this work, we are going to distinguish these two different approaches. Two novel mathematical models based on task-specific and unit-specific approach respectively for scheduling of multipurpose batch processes with unlimited intermediate storage are proposed. Both mathematical models allow production and consumption tasks to take place at the same time event point. We also introduce a new definition of recycling and non-recycling tasks, so as to define, whether it is possible production and consumption tasks related to the same state to take place at the same time event point or not. Unit-specific event based formulation is the most superior for this type of model, since it generates the optimum solution in up to one magnitude less computational time.
机译:在过去的三十年中,已经开发出用于调度多用途批处理过程的数学模型。但是,这些模型都不考虑在同一时间事件点与同一状态相关的生产和消耗任务。此外,在文献中,大量特定于任务的模型被视为特定于单元的模型。在这项工作中,我们将区分这两种不同的方法。提出了两种分别基于任务特定方法和单位特定方法的新型数学模型,用于调度具有无限中间存储的多用途批处理过程。两种数学模型都允许在同一时间事件点同时执行生产和消耗任务。我们还引入了回收和非回收任务的新定义,以便定义是否可能在同一时间事件点发生与同一状态相关的生产和消耗任务。对于这种类型的模型,基于单元特定事件的公式化是最优越的,因为它可以在不超过一个数量级的计算时间内生成最佳解决方案。

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