期刊论文

Sliced Design for Experiments with Mixtures

中文

系统科学与数学

1000-0577

2020

40

02

262-274

11571133:国家自然科学基金 11871237:国家自然科学基金

本校为第一机构

混料试验设计在众多领域中都有广泛的应用,有时试验者不仅仅需要考虑各混料成分所占比例对响应变量的影响,同时还关心其它被称为过程变量的因素.在实际中,对于这类问题通常使用的设计方案是混料设计和因子设计的组合设计.这种组合设计在过程变量的不同水平组合下,使用的是相同的设计阵,因此空间填充性较差.基于混料球体堆积设计,文章提出了一类新的混料设计,称之为混料切片设计,它的整体设计和所有子设计(过程变量的每一水平组合对应的混料设计)都具有很好的空间填充性,从而比组合设计有更好的模型稳健性.基于同余子群的陪集分解方法,针对过程变量水平组合数的不同情况提出了相应的简单快速的构...

Design for experiment with mixtures are widely used in many fields, sometimes experimenters not only consider the influence of components in mixtures on response variable, but also care about other factors known as process variables at the same time. In practice, for this kind of problem the commonly used design is the combinatorial design of mixture design and factorial design. This kind of design considers the same mixture design for different level combinations of process variables so that its space filling property is poor. In this paper, based on sphere packing design for experiments with...