This paper provides a clear perspective on existing several different approaches to robust design optimization of structures. We primarily consider three approaches: the worst-case optimization, the discrepancy (i.e., the maximum gap between the objective values in a nominal case and a possibly occurring case) minimization, and the variance minimization. Some other formulations can also be linked with one of these three approaches. To investigate how the solutions derived by these three approaches differ from each other, we present two numerical examples. This direct comparison clarifies different features of these approaches.

中文翻译：

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关于鲁棒性设计优化的三个概念：绝对鲁棒性，相对鲁棒性和较小的方差

本文对现有的几种可靠的结构优化设计方法提供了清晰的认识。我们主要考虑三种方法：最坏情况优化，差异（即，在名义情况和可能发生的情况下目标值之间的最大差距）最小化和方差最小化。其他一些表述也可以与这三种方法之一联系起来。为了研究这三种方法得出的解如何彼此不同，我们给出了两个数值示例。这种直接比较阐明了这些方法的不同特征。