中文摘要：

提出了一种通过置换因子的水平来构造具有较小可卷型L2-偏差的混合水平均匀设计的新方法．首先建立了混合水平设计的平均可卷型L2-偏差与广义字长型的定量关系，并以具有较小广义字长型的混合水平设计为初始设计，对其作水平置换，计算其可卷型L2-偏差，找到具有最小的可卷型L2-偏差的设计就是相对较好的设计．为了使算法更加有效，还运用了可卷型L2-偏差的两个性质．数值结果显示通过这种方法构造的设计在可卷型L2-偏差下表现良好．

英文摘要：

A new approach to the construction of mixed-level uniform designs under the wrap-around L2-discrepancy by permuting the levels of factors is proposed. Based on the relationship between average wrap-around L2-discrepancy and general- ized wordlength pattern, we employ a less aberration design as the starting design, then conduct level permutations, calculate wrap-around L2-discrepancy, and finally obtain the uniform design. Two properties of the wrap-around L2-discrepancy are utilized to make the algorithm more efficient. Numerical results show that the designs constructed via this approach perform well under the wrap-around L2-discrepancy. Finally, conclusion and future work are summarized.