| 不可分多目标规划问题的有效解及其判别条件 |
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| 引用本文： | 原文志,王川龙,刘宇民.不可分多目标规划问题的有效解及其判别条件[J].中北大学学报,2006,27(2):135-137. |
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| 作者姓名： | 原文志 王川龙 刘宇民 |
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| 作者单位： | 太原师范学院数学系,山西太原030012 |
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| 摘 要： | 引入不可分多目标规划问题有效解的概念,通过用充分大的数Mi来代替取不到的目标函数的相应位置的fi(x),从而把不可分多目标规划问题转化为一般的多目标规划问题.建立了不可分多目标规划问题有效解的判别条件,推广了文献3]中的Fritz-John条件和Kuhn-Tucker条件.
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| 关 键 词： | 有效解 不可分 多目标 判别条件 |
| 文章编号： | 1673-3193(2006)02-0135-03 |
| 修稿时间： | 2005年5月29日 |
Effective Solutions to and Criteria for Non-Separated Multi-Objective Programming |
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| YUAN Wen-zhi,WANG Chuan-long,LIU Yu-min.Effective Solutions to and Criteria for Non-Separated Multi-Objective Programming[J].Journal of North University of China,2006,27(2):135-137. |
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| Authors: | YUAN Wen-zhi WANG Chuan-long LIU Yu-min |
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| Abstract: | After introducing effective solutions into non-separated multi-objective programming,and by substituting a sufficient large number M_i for f_i(x) which can not be found in the multi-object function,the authors have translated non-separated multi-objective programming into general multi-objective programming problem,and have established some criteria for identifying the effective solutions to non-separated multi-objective programming problem.The research has promoted the conditions proposed by Fritz-John and Kuhn-Tucker. |
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| Keywords: | effective solution non-separated multi-objective criteria |
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