Journal of Northeastern University(Natural Science)

Journal of Northeastern University ›› 2003, Vol. 24 ›› Issue (1): 19-22.DOI: -

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Modified simplex algorithm of Dn-optimal exact designs and its application in welding work

Chen, Liang-Sheng (1); Li, Zhi-Yong (1); Zhu, Wei-Yong (1)   

  1. (1) Sch. of Info. Sci. and Eng., Northeastern Univ., Shenyang 110004, China
  • Received:2013-06-23 Revised:2013-06-23 Online:2003-01-15 Published:2013-06-23
  • Contact: Chen, L.-S.
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Abstract: An algorithm for generating Dn-optimal exact design was put forward by using the modified simplex iteration. On the basis of Evans's simplex algorithm, the negative measure and Fibonacci sequence were introduced to generate the new design point. With the multi-circulation method and symmetric theory, a modified simplex algorithm of Dn-optimal exact design was given. Through this algorithm, the multi-component mixture regression models with logarithmic term was studied, and its Dn-optimal exact designs was given. An example of the application in a welding work was given, and it gives an evident proof for the Dn-optimal exact design.

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