Uniform Design Construction On Irregular Regions

With the development of the theory of uniform design, uniform design attract-ed more and more attention and is widely applied in many areas, especially in the computer test. However, most uniform design theory is build on the regular exper-imental region, it can not meet the used in practical problems where the factors are restricted by some conditions. That means the experiment domain are irregular. Based on the previous proposed uniform design theory for the calculation and design of tables optimized search method how to improve the uniform design discrepancy are discussed.First of all, we give the recursive formula of CCD which is wide used in the irregular region. By using the formula can avoid the repeated calculation and reduce computation complexits. Hense, it is proposed. Secondly, by improving the design of a small deviation probability of being selected, raise the threshold accepting algorithm(TA) convergence speed, this paper proposed the accelerated threshold acceptance algorithm(ATA). Extensive simulations show that the new algorithm can not only save computing time, but also get more uniform or deviation smaller design. Finally, considering the complexity of the CCD uniform design construction is mainly caused by the large number of grid points. The uniform measurement and construction in good lattice points are discussed in this article. The computation shows that the time using good lattice points to get the optimal uniform design can be nearly one-tenth of that in the grid points and little uniformity is lost.