Optimal mixed-level k-circulant supersaturated designs
Supersaturated designs (SSDs) offer a potentially useful way to investigate many factors with only few experiments in the preliminary stages of experimentation. This paper explores how to construct E(fNOD)-optimal mixed-level SSDs using k-cyclic generators. The necessary and sufficient conditions for the existence of mixed-level k-circulant SSDs with the equal occurrence property are provided. Properties of the mixed-level k-circulant SSDs are investigated, in particular, the sufficient condition under which the generator vector produces an E(fNOD)-optimal SSD is obtained.Moreover, many new E(fNOD)-optimal mixed-level SSDs are constructed and listed.The method here generalizes the one proposed by Liu and Dean (2004) for two-level SSDs and the one due to Georgiou and Koukouvinos (2006) for the multi-level case.
Balanced design Cyclic generator Mixed-level Supersaturated design
Jie Chen Min-Qian Liu
Department of Statistics, School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
国际会议
北京
英文
127-140
2008-08-10（万方平台首次上网日期，不代表论文的发表时间）