混料线性对数比模型的D-最优试验设计

D-optimal design of a linear log quotient mixture model

混料问题我们可以在医药、化工、农业等诸多领域中经常遇到。对于该问题在 1 984年由Aitcison和Bacon -Shone提出了线性对数比模型。针对设计空间为的线性对数比模型 ,已有D-最优设计的分析形式的解并由关颖男教授给出了A -最优设计。作者针对另一个设计空间的混料线性对数比模型 ,给出了D -最优设计以及最优配置件。

We can usually meet linear mixture problem in medicine, chemical engineering, agriculture...etc. Aitcison and Bacon- Shone have put forward the Linear log quotient Mixture Model in 1984. The Linear log quotient Mixture Model for the design space, there has been the analysis solution of D-optimal design given an A- optimal design by professor Guan Ying nan. The author put forward the D-optimal design and optimal design configures for the Linear log quotient Mixture Model of another design space,and concluded that the optimal solution of the Linear log quotient Model is at the acme of Z field by means of D-optimal criteria.