Fractional factorial designs are popular and widely used for industrial experiments. Generalized minimum aberration is an important criterion recently proposed for both regular and non-regular designs. This paper provides a formal optimization treatment on optimal designs with generalized minimum aberration. New lower bounds and optimality results are developed for resolution-III designs. Based on these results, an effective computer search algorithm is provided for sub-design selection, and new optimal designs are reported.

中文翻译：

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生成具有广义最小像差的因子设计的有效算法。

部分因子设计很流行并广泛用于工业实验。广义最小像差是最近为规则和非规则设计提出的重要标准。本文提供了对具有广义最小像差的优化设计的正式优化处理。为分辨率 III 设计开发了新的下界和最优性结果。基于这些结果，为子设计选择提供了有效的计算机搜索算法，并报告了新的优化设计。