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
来源：
TECHNOMETRICS | 2000年 / 42卷 / 03期
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
  • [21] AN APPLICATION OF SHOENFIELDS ABSOLUTENESS THEOREM TO THE THEORY OF UNIFORM-DISTRIBUTION
    GOLDSTERN, M
    MONATSHEFTE FUR MATHEMATIK, 1993, 116 (3-4): : 237 - 243
  • [22] Theory and design of uniform and composite electric wave-filters
    Zobel, Otto J.
    BELL SYSTEM TECHNICAL JOURNAL, 1923, 2 (01): : 1 - 46
  • [23] Application of Axiomatic Design Theory to a Microfluidic Device for the Production of Uniform Water-in-Oil Microspheres Adapting an Integration Method
    Song, Ki-Young
    Zhang, Wen-Jun
    Gupta, Madan M.
    JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING-TRANSACTIONS OF THE ASME, 2012, 134 (04):
  • [24] Application of uniform experimental design theory to multi-strategy improved sparrow search algorithm for UAV path planning
    Cheng, Lianyu
    Ling, Guang
    Liu, Feng
    Ge, Ming-Feng
    EXPERT SYSTEMS WITH APPLICATIONS, 2024, 255
  • [25] The application of design management theory to a real design project
    Hollins, B
    DESIGN 2002: Proceedings of the 7th International Design Conference, Vols 1 and 2, 2002, : 157 - 162
  • [26] Genetic algorithms in design: Theory and application
    Katodrytis, G
    COMPUTER GRAPHICS, IMAGING AND VISION: NEW TRENDS, 2005, : 426 - 430
  • [27] Bioclimatic building design theory and application
    Couvelas, Agnes
    1ST INTERNATIONAL CONFERENCE ON OPTIMIZATION-DRIVEN ARCHITECTURAL DESIGN (OPTARCH 2019), 2020, 44 : 326 - 333
  • [28] Sensitivity theory application in MEMS design
    Teslyuk, V.
    Lobur, M.
    Zaharyuk, R.
    Tarik, Al Omari
    2007 PROCEEDINGS OF THE 9TH INTERNATIONAL CONFERENCE ON THE EXPERIENCE OF DESIGNING AND APPLICATION OF CAD SYSTEMS IN MICROELECTRONICS, 2007, : 536 - 537
  • [29] Application of singularity theory to cascade design
    Wei, Binghai
    Wu, Keqi
    International Journal of Turbo and Jet Engines, 2002, 19 (1-2): : 13 - 20
  • [30] The application of shakedown theory to pavement design
    I. F. Collins
    M. Boulbibane
    Metals and Materials, 1998, 4 : 832 - 837
12345