The increasing demand of goods, the high competitiveness in the global marketplace as well as the need to minimize the ecological footprint lead multipurpose batch process industries to seek ways to maximize their productivity with a simultaneous reduction of raw materials and utility consumption and efficient use of processing units. Optimal scheduling of their processes can lead facilities towards this direction. Although a great number of mathematical models have been developed for such scheduling, they may still lead to large model sizes and computational time. In this work, we develop two novel mathematical models using the unit-specific event-based modelling approach in which consumption and production tasks related to the same states are allowed to take place at the same event points. The computational results demonstrate that both proposed mathematical models reduce the number of event points required. The proposed unit-specific event-based model is the most efficient since it both requires a smaller number of event points and significantly less computational time in most cases especially for those examples which are computationally expensive from existing models.

Open image in new window

商品需求的增长，在全球市场上的高度竞争以及对最小化生态足迹的需求导致多功能批处理行业寻求途径，以在最大限度地提高生产力的同时减少原材料和公用事业的消耗，并有效利用加工工艺单位。他们的过程的最佳调度可以使设施朝这个方向发展。尽管已经为此类调度开发了大量数学模型，但它们仍可能导致较大的模型大小和计算时间。在这项工作中，我们使用基于单元的基于事件的建模方法开发了两个新颖的数学模型，其中允许在相同的事件点​​发生与相同状态有关的消耗和生产任务。计算结果表明，两个提出的数学模型都减少了所需的事件点数量。所提出的基于特定单元的基于事件的模型是最有效的，因为在大多数情况下，这两者都需要较少的事件点和显着更少的计算时间，尤其是对于那些从现有模型计算上昂贵的示例。

在新窗口中打开图像