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Construction of Optimal Mixed-Level Uniform Designs

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The theory of uniform design has received increasing interest because of its wide application in the field of computer experiments.The generalized discrete discrepancy is proposed to evaluate the uniformity of the mixed-level factorial design.In this paper,the authors give a lower bound of the generalized discrete discrepancy and provide some construction methods of optimal mixed-level uniform designs which can achieve this lower bound.These methods are all deterministic construction methods which can avoid the complexity of stochastic algorithms.Both saturated mixed-level uniform designs and supersaturated mixed-level uniform designs can be obtained with these methods.Moreover,the resulting designs are also x2-optimal and minimum moment aberration designs.

Generalized discrete discrepancyHadamard matrixmixed-level designorthogonal arraysupersaturated design

CHATTERJEE Kashinath、LIU Min-Qian、QIN Hong、YANG Liuqing

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Department of Population Health Sciences,Division of Biostatistics and Data Science,Augusta University,GA 30912,USA

NITFID,LPMC & KLMDASR,School of Statistics and Data Science,Nankai University,Tianjin 300071,China

School of Statistics and Mathematics,Zhongnan University of Economics and Law,Wuhan 430073,China

国家自然科学基金国家自然科学基金国家自然科学基金国家自然科学基金National Ten Thousand Talents Program of China高等学校学科创新引智计划(111计划)

12131001122263431237126012371261B20016

2024

系统科学与复杂性学报(英文版)
中国科学院系统科学研究所

系统科学与复杂性学报(英文版)

EI
影响因子:0.181
ISSN:1009-6124
年,卷(期):2024.37(2)
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