Level permutation method for constructing uniform designs under the wrap-around -discrepancy

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• 作者：Gang Xu ; Jian Zhang ; ^{zhangjian@suda.edu.cn" class="auth_mail} ; Yu Tang
• 关键词：Level permutation ; Uniform design ; Wordlength pattern ; Wrap-around L2L2-discrepancy
• 刊名：Journal of Complexity
• 出版年：February, 2014
• 年：2014
• 卷：30
• 期：1
• 页码：46-53
• 全文大小：391 K

文摘

A new method for constructing uniform designs under the wrap-around -discrepancy by permuting levels of factors is provided. By considering level permutation, the relationship between average wrap-around -discrepancy and generalized wordlength pattern is obtained. Based on it, a general method for searching designs with smaller wrap-around -discrepancies is proposed. Some special properties of wrap-around -discrepancy can be used to make our algorithm much more efficient. Numerical results indicate that our method is better than existing ones.