Mixed-level designs have a wide application in the fields of medicine, science, and agriculture, being very useful for experiments where there are both, quantitative, and qualitative factors. Traditional construction methods often make use of complex programing specialized software and powerful computer equipment. This article is focused on a subgroup of these designs in which none of the factor levels are multiples of each other, which we have called pure asymmetrical arrays. For this subgroup we present two algorithms of zero computational cost: the first with capacity to build fractions of a desired size; and the second, a strategy to increase these fractions with M additional new runs determined by the experimenter; this is an advantage over the folding methods presented in the literature in which at least half of the initial runs are required. In both algorithms, the constructed fractions are comparable to those showed in the literature as the best in terms of balance and orthogonality.

中文翻译：

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当级别不是多个时，混合级别设计的分馏和增加的一个注意事项

混合水平设计在医学、科学和农业领域有着广泛的应用，对于同时存在定量和定性因素的实验非常有用。传统的施工方法往往使用复杂的编程专用软件和强大的计算机设备。本文重点介绍这些设计的一个子组，其中没有一个因子水平是彼此的倍数，我们称之为纯非对称阵列。对于这个子组，我们提出了两种计算成本为零的算法：第一种具有构建所需大小分数的能力；第二，用M增加这些分数的策略由实验者确定的额外新运行；与文献中提出的折叠方法相比，这是一个优势，其中至少需要一半的初始运行。在这两种算法中，构建的分数与文献中显示的在平衡和正交性方面最好的分数相当。