In this paper,we deduced an iteration formula for the computation of central composite discrepancy.By using the iteration formula,the computational complexity of uniform design construction in flexible region can be g...In this paper,we deduced an iteration formula for the computation of central composite discrepancy.By using the iteration formula,the computational complexity of uniform design construction in flexible region can be greatly reduced.And we also made a refinement to threshold accepting algorithm to accelerate the algorithm's convergence rate.Examples show that the refined algorithm can converge to the lower discrepancy design more stably.展开更多
A fundamental and practical question for fractional factorial designs is the issue of optimal factor assignment. Recently, some new criteria, such as generalized minimum aberration, WV-criterion, NB-criterion and unif...A fundamental and practical question for fractional factorial designs is the issue of optimal factor assignment. Recently, some new criteria, such as generalized minimum aberration, WV-criterion, NB-criterion and uniformity criterion are proposed for comparing and selecting fractions. In this paper, we indicate that these criteria agree quite well for symmetrical fraction factorial designs.展开更多
基金supported by the National Natural Science Foundation of China(No.11571133 and 11101173)。
文摘In this paper,we deduced an iteration formula for the computation of central composite discrepancy.By using the iteration formula,the computational complexity of uniform design construction in flexible region can be greatly reduced.And we also made a refinement to threshold accepting algorithm to accelerate the algorithm's convergence rate.Examples show that the refined algorithm can converge to the lower discrepancy design more stably.
基金Supported by the National Natural Science Foundation of China （No.i0441001）, the Key Project of Chinese Ministry of Education （No. i05119）, SRF for R0CS（SEM） （No.[2004]176） and the Nature Science Foundation of Hubei Province. Acknowledgements. The authors cordially thank the referees and Editor for their valuable comments.
文摘A fundamental and practical question for fractional factorial designs is the issue of optimal factor assignment. Recently, some new criteria, such as generalized minimum aberration, WV-criterion, NB-criterion and uniformity criterion are proposed for comparing and selecting fractions. In this paper, we indicate that these criteria agree quite well for symmetrical fraction factorial designs.
