法锥条件下非凸规划的非内点同伦方法

利用不可行的内点同伦方法(CHIIP)求解非凸规划问题的KKT点.证明了当非凸规划问题的可行域满足法锥条件时,跟踪同伦方程产生的同伦曲线可得到非凸规划问题的KKT点,且该算法具有全局收敛性.

避免某些组合的MA设计的产生

在正交设计中，有时会遇到所采用的正交表中含有不可实施因子水平组合的情形．本文提出了能避免某些不可实施因子水平组合的MA设计的概念和产生的方法，并且通过例子验证了该方法的可行性．

A necessary and sufficient condition of existence of orthogonal arrays debarring some combinations

Orthogonal arrays (OAs) are used in many fields such as industry, agriculture, medi-cine, quality control of products and other scientific experiments. There are a lot of OAsin the existing experimental design literature. But when an experimenter wants to choosean OA in practice, it still often happens tha any existing OA contains someunsuitable factor-level combinations. For example, in a chemical experiment withtemperature and pressure as its two factors, high temperature and high pressure

关于避免多个不可实施因子水平组合的正交表构造

在正交表的实际应用中，有时会发生某些因子的水平组合无法进行试验的情形，使得现有的正交表不适用．Ｃｈｅｎｇ和Ｌｉ［１］讨论了这种情况下的正交表的构造问题，并给出了关于避免两个不可实施的因子水平组合的正交表的构造方法．本文讨论避兔多个不可实施的因子水平组合的正交表的存在和构造问题，得到了一个充要条件，井给出了有关构造方法．

Constructing orthogonal fractional factorial designs with the same confounding structure

ORTHOGONAL arrays (OAs) have important applications to many fields. A lot of OAs and their construction methods have been introduced in the experimental design literature (for example, Box, Hunter and Dey). These OAs are used for an experimenter to choose in practice.