中文摘要：

由于嵌套拉丁超立方设计（nested Latin hypercube design, NLHD）在整个设计区域中并不总具有很好的空间填充性，文章提出了一个分层加强随机进化算法对NLHD进行优化，提高它的空间填充性．该算法优先考虑在实际中更重要的底层设计，逐层优化后得到最终的NLHD．提出了三类基本操作来搜索更好的设计，并保证了每步更新后的设计依然保持NLHD的结构．算例表明该算法速度快，效率高．

英文摘要：

The nested Latin hypercube design （NLHD） does not always have good space-filling property over the experimental region. This paper introduces a multi- layer enhanced stochastic evolutionary algorithm to improve that property of NLHDs. The proposed algorithm first considers the sub-designs in the lower layers, and op- timizes the NLHD layer by layer. Three basic element-exchanging operations are proposed to search better NLHDs. The whole design always keeps the structure of the NLHD after each operation. Numerical examples indicate that the proposed al- gorithm is fast and efficient.