Uniform design: Theory and application

被引:719
|
作者
Fang, KT [1 ]
Lin, DKJ
Winker, P
Zhang, Y
机构
[1] Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R China
[2] Penn State Univ, Dept Management Sci & Informat Syst, University Pk, PA 16802 USA
[3] Univ Mannheim, Dept Econ, D-68131 Mannheim, Germany
[4] Worcester Polytech Inst, Dept Mech Engn, Worcester, MA 01609 USA
关键词
computer experiment; discrepancy; orthogonal design; threshold accepting;
D O I
10.2307/1271079
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
A uniform design (UD) seeks design points that are uniformly scattered on the domain. It has been popular since 1980. A survey of UD is given in the first portion: The fundamental idea and construction method are presented and discussed and examples are given for illustration. It is shown that UD's have many desirable properties for a wide variety of applications. Furthermore, we use the global optimization algorithm, threshold accepting, to generate UD's with low discrepancy. The relationship between uniformity and orthogonality is investigated. It turns out that most UD's obtained here are indeed orthogonal.
引用
收藏
页码:237 / 248
页数:12
相关论文
共 50 条
  • [31] Topology Theory Application in Exhibition Design
    Liang, Jing
    Zhang, Maoyin
    Xu, Xiaoli
    Li, Jingwei
    Huang, Lidi
    ARCHITECTURE, BUILDING MATERIALS AND ENGINEERING MANAGEMENT, PTS 1-4, 2013, 357-360 : 289 - +
  • [32] THE APPLICATION OF NOISE THEORY TO THE DESIGN OF RECEIVERS
    HARRIS, WA
    PROCEEDINGS OF THE INSTITUTE OF RADIO ENGINEERS, 1948, 36 (03): : 380 - 380
  • [33] Application of Queuing Theory in Service Design
    Dinh Son Nguyen
    2017 IEEE INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING AND ENGINEERING MANAGEMENT (IEEM), 2017, : 837 - 840
  • [34] APPLICATION OF THEORY TO DESIGN OF SCREW EXTRUDERS
    CARLEY, JF
    STRUB, RA
    INDUSTRIAL AND ENGINEERING CHEMISTRY, 1953, 45 (05): : 978 - 982
  • [35] The Application of Fractal Theory in Graphics Design
    MANUFACTURING SYSTEMS AND INDUSTRY APPLICATIONS, 2011, 267 : 134 - 137
  • [36] THEORY, DESIGN, AND APPLICATION OF DUOCENTRIC MOTORS
    PALM, BN
    IEEE TRANSACTIONS ON INDUSTRY AND GENERAL APPLICATIONS, 1970, IGA6 (02): : 115 - &
  • [37] Application of singularity theory to cascade design
    Wei, BH
    Wu, KQ
    INTERNATIONAL JOURNAL OF TURBO & JET-ENGINES, 2002, 19 (1-2) : 13 - 20
  • [38] TURBULENT LUBRICATION THEORY - APPLICATION TO DESIGN
    TAYLOR, CM
    DOWSON, D
    JOURNAL OF LUBRICATION TECHNOLOGY-TRANSACTIONS OF THE ASME, 1974, 96 (01): : 36 - 47
  • [39] The Application of Fractal Theory in Graphics Design
    Kang Lin
    Li Chengmao
    MANUFACTURING SYSTEMS AND INDUSTRY APPLICATIONS, 2011, 267 : 1075 - 1080
  • [40] APPLICATION OF SEPARATION THEORY TO HYDROCYCLONE DESIGN
    ROVINSKY, LA
    JOURNAL OF FOOD ENGINEERING, 1995, 26 (02) : 131 - 146