A new mathematical program based on Principal Component Analysis for multiple response optimization

机译：一种基于主成分分析的新数学程序用于多重响应优化

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In many industrial systems, improvement of quality characteristics is a main step in product design. Design of experiments is a well-grounded approach to optimize quality characteristics (Response variables) in terms of design parameters (Factors). The aim of this study is to develop the mathematical model for continuous optimization and analysis of the multiple response surfaces whereas the responses are correlated. This study proposes the novel mathematical model based on PCA and Lp-metric function for continuous pareto optimization of MRS problem when the responses are correlated and might have different importance and dimension.

机译：在许多工业系统中，改善质量特性是产品设计的主要步骤。实验设计是一种有根有据的方法，可以根据设计参数（因子）来优化质量特征（响应变量）。这项研究的目的是开发一种数学模型，用于对多个响应面进行连续优化和分析，而这些响应之间是相关的。本研究提出了一种基于PCA和Lp-metric函数的新颖数学模型，用于当响应相关且可能具有不同的重要性和维度时，连续不断地优化MRS问题。

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《2011 IEEE International Conference on Quality and Reliability》|2011年|p.445-449|共5页
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Shahrabi J.; Hejazi T. H.;
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正文语种
中图分类管理组织学;
关键词
Correlated responses; Mathematical programming; Multiple Response Surface (MRS); Principal Component Analysis (PCA);

机译：相关响应;数学编程;多重响应面（MRS）;主成分分析（PCA）;

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专利

1. An approach to optimize correlated multiple responses using principal component analysis and desirability function [J] . Ali Salmasnia, Reza Baradaran Kazemzadeh, Seyed Taghi Akhavan Niaki The International Journal of Advanced Manufacturing Technology . 2012,第5a8期

机译：一种使用主成分分析和合意函数优化相关多重响应的方法
2. Dynamic multi-response optimization using principal component analysis and multiple criteria evaluation of the grey relation model [J] . Chung-Ho Wang The International Journal of Advanced Manufacturing Technology . 2007,第5a6期

机译：使用主成分分析和灰色关联模型的多准则评估进行动态多响应优化
3. Dynamic multi-response optimization using principal component analysis and multiple criteria evaluation of the grey relation model [J] . Chung-Ho Wang The International Journal of Advanced Manufacturing Technology . 2007,第5a6期

机译：使用主成分分析和灰色关联模型的多准则评估进行动态多响应优化
4. A new mathematical program based on Principal Component Analysis for multiple response optimization [C] . Shahrabi J., Hejazi T. H. IEEE International Conference on Quality and Reliability . 2011

机译：基于多重响应优化主成分分析的新数学计划
5. Instability in principal component analysis: Forming a consensus principal component from multiple sample principal components. [D] . Spurgin, William D. 2016

机译：主成分分析中的不稳定性：由多个样本主成分组成一个共识主成分。
6. Crude Oil Price Forecasting Based on Hybridizing Wavelet Multiple Linear Regression Model Particle Swarm Optimization Techniques and Principal Component Analysis [O] . Ani Shabri, Ruhaidah Samsudin -1

机译：基于混合小波多元线性回归模型粒子群优化技术和主成分分析的原油价格预测
7. Global Criterion Method Based on Principal Components to the Optimization of Manufacturing Processes with Multiple Responses [O] . José Henrique de Freitas Gomes, Aluizio Ramos Salgado Júnior, Anderson Paulo de Paiva, 2012

机译：基于主成分的全局准则方法，以优化多重响应的制造过程

A new mathematical program based on Principal Component Analysis for multiple response optimization

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