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非线性分式可加混料模型及其最优设计 被引量:3

Optimal design for an additive rational quadratic mixture model
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摘要 针对在工业、医药学等方面生产试验广泛应用的混料模型提出非线性混料模型及其推广模型,并对非线性混料可加模型的C-最优设计提出利用切比雪夫点求驻点,用拉格朗日乘子法求最优权重的解决方案,最后给出精确D-最优设计. Mixture experiment is widely applied in industry, medicine, etc. Here we raise some promotions of nonlinear mixture model. Then we discuss the C-optimal design and D-optimal design for the nonlinear additive rational quadratic mixture model. The C-optimal design is put forward by using Chebyshev-point stationary point. Then we use Lagrange multiplier method for getting the weights, and finally give for searching a precise Doptimal design.
出处 《广州大学学报(自然科学版)》 CAS 2012年第3期24-26,共3页 Journal of Guangzhou University:Natural Science Edition
基金 国家自然科学基金项目(10871054)资助
关键词 非线性 混料模型 C-最优设计 D-最优设计 nonlinear mixture model C-optimality D-optimality
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