Designing outer array points

Yuchung Wang*, Dennis K. J. Lin, Kai-Tai Fang

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

18 Citations (Scopus)


Taguchi's product-array design consists of two portions: an inner array containing the design factors and an outer array containing noise factors. The function of the outer array is very different from that of the inner array, however. The outer array is most likely to sample or simulate the distribution of the noise factors, while the inner array is designated to facilitate the optimization. Since performance for each inner point is evaluated via its corresponding outer array points, the outer array plays an important role in robust design. We show here that the optimal representative point method via quantizer is superior to using other methods (including orthogonal array) to design outer array points. All optimal representative points are tabulated for practical use. The usage of these tables is demonstrated by examples.

Original languageEnglish
Pages (from-to)226-241
Number of pages16
JournalJournal of Quality Technology
Issue number3
Publication statusPublished - Jul 1995
Externally publishedYes

Scopus Subject Areas

  • Safety, Risk, Reliability and Quality
  • Strategy and Management
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering


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