• 论文 •

### 基于特殊混料模型$D$-最优设计搜索的交换点式门限接受算法

1. 广州大学经济与统计学院,  广州 510006
• 出版日期:2020-02-25 发布日期:2020-05-29

WANG Haoyu, ZHANG Chongqi. The Exchange Threshold Accepting Algorithm for Generating $D$-Optimal Designs of Some Special Mixture Models[J]. Journal of Systems Science and Mathematical Sciences, 2020, 40(2): 210-224.

### The Exchange Threshold Accepting Algorithm for Generating $D$-Optimal Designs of Some Special Mixture Models

WANG Haoyu, ZHANG Chongqi

1. School of Economics and Statistics, Guangzhou University, Guangzhou 510006
• Online:2020-02-25 Published:2020-05-29

In this paper, we discuss disadvantages of the classical algorithms which may affect the convergence speed and accuracy in finding $D$-optimal designs of certain mixture models, taking the Fedorov algorithm and the threshold accepting type algorithm for optimal designs of mixture models, which we construct in this paper for multiple purposes, as examples. Based on these discussions, the ETA (exchange threshold accepting) algorithm is given, which overcomes those shortcomings to some extend, by using meta-heuristic type sub-algorithms to improve the convergence speed, and by insisting on the idea of Fedorov algorithm to retain the convergence accuracy simultaneously. Detailed evaluation and comparison with the Fedorov algorithm and the ProjPSO algorithm based on mixture models with inverse terms are also given.

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