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引用次数: 0
摘要
统计熵(SE)是一种量化任何指标分布的方法。在物料流分析中,统计熵最初被用于研究单一化学元素在一组物料流中的分布。这使得量化单一物质的过程所引起的熵变成为可能。然而,以另一种方式使用香农 SE 方程,SE 也可以应用于特定物质流中所有物质的分布。本文介绍了这两种方法之间的实际联系,以及如何以一种数学上合理、简单的方式从第二种方法推导出第一种方法。最后,我们还展示了如何计算一组物料流中几种选定物质的综合 SE。
On statistical entropy measures in material flow analysis and their common framework
Statistical entropy (SE) is a method to quantify distributions of any metric. In material flow analysis, SE was initially applied to examine the distribution of a single chemical element over a set of material flows. This made it possible to quantify the entropy change caused by a process with respect to a single substance. However, using Shannon's SE equation in another way, SE can also be applied to the distribution of all substances within one specific material flow. This paper presents how these two approaches are actually connected and how the first can be derived from the second in a mathematically sound, straightforward way. Finally, we show how to compute the combined SE for a set of material flows with respect to several selected substances.