A method for construction of mixed-level fractional designs

被引:5
作者
Pantoja, Yaquelin V. [1 ]
Rios, Armando J. [2 ]
Tapia Esquivias, Moises [2 ]
机构
[1] Inst Tecnol Celaya, Tecnol Nacl Mexico, Ciencias Ingn, Celaya, Gto, Mexico
[2] Inst Tecnol Celaya, Tecnol Nacl Mexico, Dept Ingn Ind, Celaya, Gto, Mexico
关键词
balance; divisor factor; fractional designs; mixed level; orthogonality; ORTHOGONAL ARRAYS; MOMENT ABERRATION;
D O I
10.1002/qre.2466
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This research presents a new method to generate near-orthogonal balanced mixed-level fractional designs. The proposed method showed that it is possible to create near-orthogonal balanced fractions of economic size. The method is based in the analysis of the behavior of the genetic algorithm used to generate the efficient arrays (EAs) developed by Guo; a pattern was detected, and this led to the generation of an algorithm capable of constructing fractions in a simple way. These fractions were called near-orthogonal balanced arrays (NOBAs). To analyze the properties of the NOBAs and the capabilities of the proposed method, a series of performance indicators were defined. The NOBAs were compared with the EAs developed by Guo; results are provided.
引用
收藏
页码:1646 / 1665
页数:20
相关论文
共 12 条
  • [1] On finding mixed orthogonal arrays of strength 2 with many 2-level factors
    DeCock, D
    Stufken, J
    [J]. STATISTICS & PROBABILITY LETTERS, 2000, 50 (04) : 383 - 388
  • [2] Construction of efficient mixed-level fractional factorial designs
    Guo, Yong
    Simpson, James R.
    Pignatiello, Joseph J., Jr.
    [J]. JOURNAL OF QUALITY TECHNOLOGY, 2007, 39 (03) : 241 - 257
  • [3] Deciphering All Those Minimum Aberration Criteria for Experimental Designs
    Guo, Yong
    Simpson, James R.
    Pignatiello, Joseph J., Jr.
    [J]. QUALITY ENGINEERING, 2009, 21 (04) : 432 - 445
  • [4] The General Balance Metric for Mixed-level Fractional Factorial Designs
    Guo, Yong
    Simpson, James R.
    Pignatiello, Joseph J., Jr.
    [J]. QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2009, 25 (03) : 335 - 344
  • [5] Hedayat A.S., 1999, Springer Series in Statistics, DOI DOI 10.1007/978-1-4612-1478-6
  • [6] Montgomery DC, 2017, DESIGN ANAL EXPERIME, V9th
  • [7] Semifold Plans for Mixed-level Designs
    Rios, Armando J.
    Simpson, James R.
    Guo, Yong
    [J]. QUALITY AND RELIABILITY ENGINEERING INTERNATIONAL, 2011, 27 (07) : 921 - 929
  • [8] AN APPROACH TO THE CONSTRUCTION OF ASYMMETRICAL ORTHOGONAL ARRAYS
    WANG, JC
    WU, CFJ
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1991, 86 (414) : 450 - 456
  • [9] Moment aberration projection for nonregular fractional factorial designs
    Xu, HQ
    Deng, LY
    [J]. TECHNOMETRICS, 2005, 47 (02) : 121 - 131
  • [10] Xu HQ, 2003, STAT SINICA, V13, P691