| 非线性分式可加混料模型及其最优设计 |
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| 引用本文： | 朱志彬,张崇岐. 非线性分式可加混料模型及其最优设计[J]. 广州大学学报(综合版), 2012, 0(3): 24-26 |
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| 作者姓名： | 朱志彬 张崇岐 |
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| 作者单位： | 广州大学数学与信息科学学院,广东广州510006 |
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| 基金项目： | 国家自然科学基金项目（10871054）资助 |
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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．
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| 关 键 词： | 非线性 混料模型 C-最优设计 D-最优设计 |
Optimal design for an additive rational quadratic mixture model |
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| ZHU Zhi-bin,ZHANG Chong-qi. Optimal design for an additive rational quadratic mixture model[J]. Journal of Guangzhou University, 2012, 0(3): 24-26 |
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| Authors: | ZHU Zhi-bin ZHANG Chong-qi |
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| Affiliation: | (School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China) |
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| Abstract: | 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. |
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| Keywords: | nonlinear mixture model C-optimality D-optimality |
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