| 多目标数学规划有效集的参数表示 |
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| 引用本文： | 孙尔江.多目标数学规划有效集的参数表示[J].运筹学学报,2015,19(3):42-47. |
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| 作者姓名： | 孙尔江 |
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| 作者单位： | 1. 美国南加州爱迪生电力公司 |
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| 摘 要： | 研究了p-维多目标数学规划问题有效集的参数表示. 通过研究相关的单目标优化问题和相关的(p-1)-维多目标优化问题, 提出了几个新的关于p-维多目标规划有效集的表示定理.
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| 关 键 词： | 多目标数学规划 有效集 弱有效集 参数表示 |
| 收稿时间： | 2015-04-24 |
On parametric representations of the efficient setof multiple objective mathematicalprogramming problems |
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| SUN Erjiang.On parametric representations of the efficient setof multiple objective mathematicalprogramming problems[J].OR Transactions,2015,19(3):42-47. |
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| Authors: | SUN Erjiang |
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| Institution: | 1. Senior Energy Market Specialist, Southern California Edison, Rosemead, CA 91770, USA |
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| Abstract: | In this paper we present some new results that characterize the efficient solutions of a p-dimensional multiple objective mathematical programming (MOMP). These characterizations are in terms of the optimal solutions of appropriate scalar optimization problems or in terms of efficient solutions of appropriate (p-1)-dimensional parametric MOMP. |
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| Keywords: | multiple objective mathematical programming efficient set weakly efficient set parametric representations |
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