随着计算机技术的飞速发展，以及实际应用领域中新兴问题的需求，人们遇到的具有复杂结构的计算机试验越来越多。鉴于计算机试验中因子众多、因子取值多样、无随机误差及定性和定量因子共存等特点，与之适应的新的设计构造和分析方法仍然亟需进一步研究。本项目拟对几种情形下的复杂计算机试验的设计理论和构造方法展开深入研究，研究内容主要包括： （1）具有正交性、空间填充性、投影均匀性等优良性质的各分片大小可任意取值的灵活分片拉丁超立方体设计的理论及构造，探索这些设计在实际领域中的应用；（2）不规则设计区域上空间填充设计的理论及构造，进一步探索具有复杂结构的此类设计的构造。期望能构造出一系列优良设计表，并给出有效的数据分析方法，以供实际工作者使用。

With the rapid development of computer technology, and the needs of emerging issues in the application fields, mankind is faced with more and more computer experiments with complex structures. Due to those characteristics of computer experiments, such as numerous factors, various values, no random errors as well as the coexistence of qualitative and quantitative factors, new design constructions and analysis methods are necessary. This project will mainly focus on design theories and construction methods of complex computer experiments, including: (1) theory and construction of flexible sliced Latin hypercube designs with appealing properties such as orthogonality, space-filling property and projection uniformity; (2) theory and construction of space-filling designs in irregular design region, and construction of such designs with complex structures. We expect to construct a series of good designs, and provide efficient data analysis methods for practical use.