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一种构造多水平超饱和设计的新方法
引用本文:陆璇,万志诚.一种构造多水平超饱和设计的新方法[J].应用概率统计,2009,25(6):578-586.
作者姓名:陆璇  万志诚
作者单位:清华大学数学科学系,北京,100084
摘    要:超饱和设计在搜索试验中有重要应用.自上世纪九十年代迄今, 超饱和设计的研究取得了丰硕成果,研究的设计从二水平发展到多水平, 进而到混合水平;构造方法从巧妙的构思到利用组合理论进行系统构造,进而到各种算法的开发; 对于超饱和设计的评优准则也有更深入的认识.本文介绍一种构造多水平超饱和设计的新方法. 这种方法简单易行,很容易构造出具有优良性质的多水平超饱和设计, 有很强的实用性.

关 键 词:筛选试验  超饱和设计  平衡不完全区组设计.

A New Method in the Construction of Multi-LevelSupersaturated Designs
LU XUAN,WAN ZHICHENG.A New Method in the Construction of Multi-LevelSupersaturated Designs[J].Chinese Journal of Applied Probability and Statisties,2009,25(6):578-586.
Authors:LU XUAN  WAN ZHICHENG
Institution:Department of Mathematical Science,Tsinghua University
Abstract:Supersaturated designs are very useful inscreening experiments. From nineties of the last century to present,the research on supersaturated designs has got fruitful results.Designs under study include two-level, multi-level and mixed-leveltypes, and methods of construction include genius approaches,systematical constructions based on combinatorial theory, andcomputer search algorithms. Criteria for the evaluation ofsupersaturated designs have got deeper understanding, too. In thispaper, a new method for the construction of supersaturated designsis introduced. This method is easy to use, and the supersaturateddesigns constructed have nice properties, and are expected useful inexperimental practice.
Keywords:Screening experiment  supersaturated design  balanced incomplete block design  
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