中文摘要：

在混料试验设计中,当模型包含较多的未知参数时,使用R-最优设计一方面能保证参数估计的精度,另一方面又能简化最优设计的计算.文章讨论了q分量二阶K模型的R-最优设计,利用混料设计的等价性定理,获得了K模型的R-最优设计,并可以推广至其他模型中.

英文摘要：

In the mixture experiment designs, the adoption of R-opt imal designs can ensure the accuracy of pa-rameter estimation and simpl ified calculation of optimal design whi le the model contains more parameters. In this thesis, we discuss the R-optimal designs of q-component second mixture K model. Moreover, we gain the R-optimal designs of K-model by using the equivalence theorems of mixture designs and can appl ied to other mode.