Theory and application of uniform designs

With the development of science and technology, the numbers of factors in experiments become larger and larger, and the relationshipsamong factors become more and more complex, and then it is veryimportant to organize the experiments scientifically. Orthogonaldesigns, uniform designs and optimal designs are the popular typesof experimental designs. The main idea of uniform designs is toscatter the design points on the experimental domain uniformly.Uniform designs have many advantages such as choosing the numbers ofruns flexibly, robustness for models, and suitability for differenttypes of experimental domains. This paper reviews the theoreticaldevelopment, current progress and application of uniform designs.