Uniform design for computer experiments and its optimal properties

Computer experiments are very useful for improving vehicle designs. Construction of computer experiments is of crucial importance. There are many space filling designs for computer experiments. The uniformity and low-discrepancy sets have played an important role in the construction of designs for computer experiments. To gain insight into why space-filling designs have good performance in computer experiments, in this paper, we compare several statistical models from different statistical viewpoints. We further demonstrate that the uniform design is an optimal one from several aspects.